text
stringlengths 0
190k
|
---|
0704.1636.txt |@word limited:1 monte:2 angles:12 remarkable:1 asteroids:8 focus:2 four:6 per:9 tenuous:1 edu:1 go:1 faster:1 ward:1 causes:1 layers:1 increase:1 shevchenko:1 fellowship:1 iii:1 vs:1 young:2 protostars:1 finally:1 does:4 charon:4 stable:1 dominated:1 include:1 brown:8 attempts:1 amplitudes:5 worse:1 domingue:1 very:9 listed:1 phasing:3 results:6 perihelion:4 every:2 additional:1 summarized:1 neptunian:3 continued:18 semiaxes:1 rotating:1 differentiated:1 squares:2 err:19 level:4 did:1 sanz:1 bright:4 large:26 doressoundiram:3 red:5 guiding:1 yale:1 small:14 provided:1 cellino:3 equation:2 tenths:3 methane:3 upper:3 smaller:16 force:1 ten:4 maclaurin:1 consistent:6 anticorrelated:1 oort:1 aas:1 behave:1 likely:14 schaefer:1 corner:1 further:5 estimated:2 carlo:2 cruikshank:6 quite:1 inert:1 universities:1 what:2 errors:1 appear:4 giving:2 sun:1 section:3 near:24 expressed:1 uniform:5 current:3 mv:2 volatile:4 above:6 new:4 method:1 contrast:1 body:2 dwarf:8 degree:9 ranged:1 respectively:3 component:1 equals:1 here:1 pluto:16 hours:39 reported:2 magnetism:1 objects:37 hillier:1 cos2:1 others:1 active:5 ratio:9 november:5 strong:3 observing:5 appears:7 change:1 obtained:7 solid:4 search:1 parameters:1 noticeable:1 institute:1 slow:1 larger:28 allows:1 hydrostatic:3 suggests:3 amount:1 periodic:5 graph:1 usually:4 history:1 changes:1 elongated:10 plotted:5 composed:1 examining:2 projection:1 clark:1 scales:2 apr:1 marginal:1 triaxial:3 photometric:23 kuiper:15 visibly:1 histories:2 apj:6 visible:1 weaker:1 grundy:3 matthews:2 univ:6 cloud:1 plot:6 confidence:6 feb:1 doublepeaked:2 would:8 brighter:1 breakup:1 romanishin:2 optimize:2 ices:2 few:13 asteroid:1 spike:1 aperture:10 type:1 minor:6 more:6 sicardy:2 flat:15 menten:1 inclined:1 apparent:6 corrected:1 lightcurve:4 borisov:1 airmass:19 particular:1 known:7 actual:2 cases:1 hold:1 oliva:1 high:9 none:1 rotational:22 trilling:4 hour:5 collision:1 mm:19 science:1 setup:1 work:9 tegler:2 modified:1 oct:2 lellouch:1 ivanova:1 obvious:5 thin:1 mr:49 following:2 under:1 tno:15 trans:3 root:1 scatter:4 sedna:1 deg:6 casanova:1 lacerda:4 unmarked:1 figure:18 give:2 process:2 december:8 allowed:1 delsanti:1 sample:3 buie:6 minimum:7 performed:3 tidally:1 magnitudes:40 occur:1 simple:1 absolute:14 terrestrial:1 influenced:1 monitoring:1 icarus:10 travel:1 six:1 varies:1 sig:1 binzel:6 possibly:1 significance:2 mi:2 axis:12 parameter:2 compositionally:1 flanking:1 de:2 spitzer:1 information:1 may:25 signature:1 confirmed:2 fluid:1 plane:1 mag:26 date:3 bertin:1 geometrical:1 data:45 types:1 las:1 bowell:7 short:18 johnson:1 keil:1 maybe:1 spectra:2 elongation:6 correspond:4 alias:1 nas:1 so:2 allow:2 correlation:12 order:9 wavelengths:1 kbo:13 reservoir:1 considerations:1 indeed:1 over:16 mainly:1 meter:4 years:3 produced:5 thermal:2 paper:1 scott:1 rcorr:2 during:1 mentioned:1 still:2 fwhm:2 its:12 superior:1 equator:3 difference:3 outgassing:1 chandrasekhar:4 susceptible:1 tidal:1 better:2 detected:2 primordial:1 degrees:12 fig:32 jacobi:2 weeks:1 main:5 pixel:4 versus:8 pv:2 them:1 good:6 greater:1 auto:1 material:2 runs:1 number:4 break:1 band:35 markings:1 february:3 they:4 half:1 satellites:1 rotation:15 now:1 twilight:1 association:1 matched:3 easily:4 term:19 hrs:2 rocky:1 campanas:1 brightness:2 always:1 university:2 magnitude:27 each:8 found:25 photometry:9 heinze:1 em:1 holsapple:2 significantly:12 populated:1 colder:2 satellite:1 related:1 hawaii:3 resurfacing:2 mar:1 measurement:1 our:5 beyond:1 out:1 shown:17 sunlight:1 space:2 since:8 projected:1 research:1 rd:1 collisions:2 nominal:1 sustain:1 rare:1 gutierrez:1 newly:5 dominate:1 cause:2 viable:1 sculpting:1 shows:12 arizona:5 linear:20 diameters:1 rieke:2 activity:1 given:3 standard:1 babcock:1 reason:2 statistics:1 indicates:3 compositions:2 temperature:1 hubble:1 heliocentric:2 r2:1 created:2 geometry:2 determining:1 could:5 similarly:2 days:12 times:3 filter:3 assumed:2 davis:4 retain:1 onto:1 first:2 dithered:1 reflected:1 mosher:1 tektronix:1 fits:2 spinning:1 l97:1 done:1 landolt:2 l35:1 clarity:7 angular:9 size:5 little:2 periodicity:1 needed:3 introduction:1 unknown:1 behaves:1 moderately:1 system:5 least:1 name:21 centripetal:2 their:17 assumption:1 rates:2 observations:12 hundred:3 ranging:1 gives:2 shifted:2 discussion:1 alonso:1 sin2:2 explanation:1 viewing:2 optical:2 occurring:1 believe:1 than:36 coefficients:2 center:6 peaked:36 relative:1 effective:1 dtm:1 double:19 second:1 final:1 states:1 determined:8 amplitude:24 were:18 expb:19 steep:3 el61:2 lowest:2 diameter:3 well:12 dynamically:1 curves:18 sec:19 substantial:1 headings:1 cometary:1 seen:11 seem:1 confirms:1 any:6 viewed:4 relatively:3 acceleration:2 nights:7 angle:8 mostly:3 conn:1 self:5 gravity:5 contact:2 majority:1 empirically:2 causing:1 gρ:1 jacobian:3 interior:1 techniques:1 circles:1 towards:1 altered:2 though:2 object:24 maris:1 falls:1 rabinowitz:14 doucet:1 paolicchi:4 tozzi:2 significant:20 comparisons:1 phase:65 extremely:5 why:1 croft:1 latex:1 parisi:1 kg:4 kbos:22 considered:1 calculated:1 stronger:1 inferred:1 km:7 points:6 wasserman:1 bodies:2 notch:1 regolith:1 slope:2 atmosphere:7 signatures:1 show:11 detection:1 altenhoff:1 mousis:1 infrared:3 discovered:1 radii:4 threshold:1 earth:1 longer:2 find:3 muinonen:2 ha:1 based:2 ellipsoid:3 cousins:1 sheppard:30 texture:1 should:4 kron:1 only:14 rich:2 schaller:1 bernstein:2 licandro:3 columns:1 equilibrium:5 do:7 distance:3 vary:2 dd:19 geocentric:2 dc:1 made:1 nearly:4 probably:2 report:1 dw:11 averaged:4 collisional:4 haven:1 processes:1 pearson:2 bar:1 densities:1 fields:1 arxiv:1 median:5 dupont:2 summary:1 rotationally:1 twice:1 equatorially:1 filled:1 characteristic:1 fainter:2 through:8 view:2 l39:1 coefficient:11 bars:12 set:2 signify:1 acquired:1 correlations:3 up:2 observed:15 depends:2 individual:15 radius:6 result:7 operated:1 europa:1 best:12 subject:1 surfaces:5 practice:1 peltoniemi:1 luu:7 position:1 ways:1 nature:5 tucson:5 santos:1 µm:2 macros:1 state:1 various:1 phased:10 between:8 theta:9 geometric:2 conditions:1 variability:18 recently:4 ability:1 institution:1 tables:2 mags:20 bottke:1 roe:1 kea:1 opposition:4 reipurth:1 tnos:51 pixels:3 water:1 cos:1 discernible:1 last:1 fit:14 limits:2 veillet:1 region:1 contract:1 display:2 pdm:11 figures:9 mildly:2 variance:3 mean:1 finds:1 comes:1 nearby:3 minima:2 co:1 elliot:2 prepared:1 color:4 continuation:1 ates:1 notched:1 period:69 sampling:1 pole:2 werner:1 differ:2 right:1 wider:2 table:41 throughout:2 belt:19 pr:5 light:47 described:1 leads:1 source:1 addition:1 create:4 universal:1 three:5 been:16 mbas:4 julian:1 expected:7 pile:2 ph:1 outliers:1 correction:3 followup:1 colors:5 corresponding:1 both:3 quantities:1 thousand:1 essentially:1 understand:1 mauna:1 chile:1 c2:2 spin:2 those:1 case:2 cassegrain:2 predominately:1 look:6 washington:2 frozen:1 reliable:1 value:2 will:7 while:10 reliably:1 error:14 situation:1 fernandez:2 stansberry:5 seven:3 zappala:3 tholen:2 almost:1 characteristics:2 metric:1 thus:13 non:3 surface:16 hicks:3 ii:2 thum:1 bias:1 sota:1 limit:1 jewitt:32 mpc:2 carraro:2 acknowledgments:1 binary:3 different:15 hubbard:2 inc:1 grant:1 perhaps:1 suggest:1 locking:1 cross:1 same:14 albedo:10 shorter:1 complex:1 inventory:1 largest:10 several:15 solution:3 composition:1 higher:1 fairly:1 clear:1 used:9 peaks:2 see:2 fielded:1 emery:3 differing:1 effectively:2 stellingwerf:2 harris:2 uses:5 v5:1 strength:2 recent:3 noll:1 lower:2 ellipsoidal:1 off:1 sidereal:2 disrupted:1 margot:1 calibration:2 neptune:1 analysis:3 calibrated:1 aphelion:2 ccd:2 example:1 spencer:4 leone:3 maxima:1 spherical:2 distances:2 taller:1 decimal:1 just:4 less:10 being:2 when:9 obtain:1 effects:2 shape:4 showed:2 differentiation:2 rotates:1 scattering:4 yet:1 previous:4 sampled:1 preprint:1 interestingly:1 density:6 percent:1 sky:2 except:5 weiss:1 instrument:1 ellipsoids:3 eye:1 extensive:1 prominent:1 momentum:9 divided:1 resolved:2 explained:3 march:3 increased:1 putative:1 couple:1 psf:1 possible:16 collisionally:1 department:1 indicative:1 press:7 using:17 highly:2 apart:1 atmospheres:4 vertically:2 rotate:1 like:4 particle:1 shaped:1 ch4:1 signal:4 sizes:2 sized:4 apertures:1 indication:2 either:4 night:6 become:1 works:1 reduced:7 spins:1 because:11 stern:1 some:1 imaged:1 yyyy:19 sight:3 images:4 trujillo:4 reasons:1 shapes:3 scale:2 confirm:4 broad:4 measurements:16 integration:2 ice:2 icy:3 critical:5 assuming:4 moderate:4 measuring:1 vs2:20 noise:5 pinilla:1 minimization:4 whose:1 variation:1 generic:1 spectrally:1 properties:4 bertoldi:2 about:40 dotto:1 central:1 bimodal:1 most:8 column:1 months:1 discussed:1 o:1 simulation:2 barucci:7 range:11 cirrus:1 observation:1 slightly:4 farinella:9 allowing:1 triton:1 seeing:4 equally:1 pcrit:2 into:1 within:7 rotations:5 due:1 appropriate:1 gehrels:2 references:1 determine:9 telescope:10 spheroids:1 uncertainties:5 simonelli:1 fast:1 sparser:1 featureless:1 measured:3 support:1 there:6 condense:1 long:6 awarded:1 dispersion:6 start:3 low:5 stars:8 ed:5 slopes:4 was:14 assumes:1 function:8 medium:1 complete:1 enough:1 atop:1 differences:4 but:17 astro:1 taken:3 solar:4 hb:1 don:3 line:15 highest:2 true:3 subtracted:1 shortterm:3 fragmentation:1 october:5 ut:21 gravitational:2 variations:15 maximum:4 planet:9 assume:2 below:2 converted:1 ciw:1 marginally:1 distribution:1 orcus:17 similar:13 called:2 aa:3 constant:1 5log:3 defined:3 petit:1 abstract:1 aj:10 rubble:2 eris:30 general:1 single:17 au:7 periods:9 planets:7 wavelength:1 formalism:4 unsaturated:1 physical:2 again:1 functions:4 compared:9 dotted:1 no:26 dashed:6 image:2 nc:1 generally:8 hapke:1 field:6 other:9 details:1 branch:1 shallower:4 pi:2 nw:1 separate:1 peixinho:2 searched:1 convincing:2 carnegie:1 includes:1 a2:1 peak:20 buratti:5 ranges:1 astronomy:1 diamonds:2 structure:2 exposure:1 l61:1 albedos:7 weidenschilling:2 values:4 age:2 required:1 curve:41 orbit:1 bergh:2 nasa:2 ortiz:9 time:8 determination:1 n2:1 having:3 eclipsing:1 |
0704.1637.txt |@word alo:1 since:4 saturating:1 consider:2 codification:8 believed:1 particular:2 concern:1 results:6 gy:1 obviate:1 leads:2 roy:1 entropy:36 comments:1 computation:1 maxima:1 abundant:1 cases:5 forget:1 compact:3 looking:1 depend:1 violate:1 prejudice:1 paris:1 shrinkage:1 precollapse:1 tp:3 presents:3 finally:9 critical:3 spain:2 th:20 under:3 tegmark:1 ev4:1 worth:1 summarizes:1 applied:2 2rm:1 probe:1 advantage:1 evolves:6 very:13 rise:2 focus:1 every:7 formula:1 redefinition:1 flattened:1 condition:7 entire:2 obvious:1 solves:1 level:1 turns:1 anisotropy:1 curvature:7 t0:3 t1:3 encoding:1 solved:2 convenience:1 guiding:1 small:3 enforce:3 posta:2 enjoy:1 upper:1 quicker:2 bean:1 discriminates:1 riess:1 kalyana:2 trodden:1 sin2:2 cosh:1 past:9 second:5 d69:1 narlikar:1 evaluated:1 concludes:1 further:2 dynamics:1 bounds:1 approached:1 even:1 what:1 jcap:1 appear:1 rate:1 incompatible:3 section:16 mechanics:1 dχ2:1 rabadan:1 diaz:1 goes:6 endorse:1 new:1 increasing:3 ever:3 method:1 contrast:1 codimension:2 satisfy:1 zaragoza:2 chaotic:1 measurements:1 prescriptions:1 divergence:2 friedmannrobertson:1 never:4 here:5 agreement:1 ranges:1 following:1 free:1 sinh:1 nonsingular:1 represented:1 ratio:1 along:1 equations:1 interpret:1 deduced:3 obtained:8 almost:3 study:4 studied:1 allows:2 approaches:1 discoveries:1 spheres:1 suggestion:1 permit:3 domains:2 spacetime:2 quotient:3 uniquely:1 named:2 spatially:40 family:2 scales:1 problematic:7 imagine:1 scaled:1 aph:1 inequality:2 decrease:2 total:1 causal:1 unit:2 conventional:8 cosmological:64 would:4 covariant:1 positive:5 negative:4 strauss:1 next:3 scenarios:1 comparing:1 live:1 sitter:1 relativistic:2 taken:2 robertson:1 means:3 stage:1 type:2 theoretical:1 diagrams:1 more:8 flat:13 becomes:2 expose:2 apparent:2 leonard:1 visual:1 far:3 eternally:2 hole:1 sekiguchi:1 zimdahl:2 must:7 vp:3 account:1 crosses:1 integrating:1 unnatural:1 equation:4 work:10 reproduce:1 values:3 era:7 correctly:1 universe:37 those:1 fulfill:1 arrive:1 example:2 asymptotic:1 claim:1 references:1 figure:7 give:1 expanding:1 allowed:2 easther:2 high:2 sphere:2 karch:1 minimum:7 o:1 arise:2 lacks:1 recollapse:2 fischler:16 needs:1 fpa:1 hoc:1 locates:1 provide:2 verify:9 discussion:2 s0:8 how:1 resolution:1 concerning:1 surpasses:2 instead:1 microwave:1 setare:1 parameter:6 dω2n:1 4s0:1 simplicity:2 fs:36 bousso:10 may:5 after:3 singularities:1 confirmed:1 diagram:2 tasinato:1 coming:1 develop:1 law:2 data:2 compatibility:2 bekenstein:1 short:1 natural:1 light:19 sp:19 explicit:5 lost:1 cosmology:15 accelerated:19 so:34 allow:2 correlation:1 banks:4 representation:1 order:2 erasing:1 restriction:2 saturated:3 words:2 indeed:2 over:13 summarized:1 inconclusive:1 soc:1 interpreted:1 paper:6 looks:1 argued:2 concentric:1 still:1 its:11 before:1 observational:4 unizar:2 fit:1 acknowledge:1 chosen:1 interesting:2 temporal:2 relativity:2 daemi:1 decreases:3 actually:1 better:1 complex:2 degrees:4 fig:6 kaloper:2 mail:3 main:1 might:1 h0:1 them:2 skipped:1 greater:4 combination:1 propose:2 safe:1 number:2 scaling:1 bang:5 effects:1 they:5 half:2 front:1 rotation:1 now:7 refering:1 growing:1 search:1 holographic:69 gamow:2 verifying:1 always:4 university:2 reductionist:1 sin:5 sufficiently:2 magnitude:1 l2:1 l3:1 reasonable:1 each:2 shrinks:3 found:5 2n:1 quarter:2 2h:1 notes:1 constraints:2 homogeneous:2 domain:10 illuminate:1 telescope:1 fairly:3 ed:1 energy:23 idea:1 related:7 solution:11 literature:3 static:1 ex:1 reached:1 quantum:3 our:18 beyond:1 event:1 es:2 out:2 conjectures:1 living:1 shown:13 dominates:3 factors:1 restricted:1 singular:2 rev:8 hooft:1 content:21 dominated:24 emerged:1 rm:7 dominate:1 evaluation:1 correct:1 math:1 shows:2 benjamin:1 inevitably:1 representations:1 linear:1 enforcing:1 several:1 mechanisms:1 fisica:1 departamento:1 standard:1 quick:1 reason:1 toy:1 element:1 randall:1 beginning:10 definition:1 hubble:1 interaction:1 r0:3 r2:1 could:13 impose:1 ds2:1 times:2 b594:1 quintessence:14 place:2 universidad:1 consequence:1 b457:1 undergo:1 strictly:1 first:2 origin:1 initial:3 prevent:1 relate:1 variables:1 primary:2 reaches:9 holography:9 simplified:4 dωn:1 pablo:2 impossible:5 thick:2 george:2 size:8 given:8 necessarily:1 checked:2 reference:4 likely:1 kox:1 introduction:3 sm:7 determination:1 system:3 grow:2 their:1 assumption:2 too:2 calculations:1 wilkinson:1 exponents:1 speaking:1 gives:5 enforcement:1 collapse:2 relationship:1 tasi:1 bouncing:10 visser:1 exactly:2 coalesce:1 took:1 deceleration:2 authors:2 than:9 positively:2 begins:1 distance:3 kind:8 accordance:1 horizons:7 sections:7 imply:1 aims:1 limiting:4 matter:16 states:1 future:17 supposed:1 represents:1 tonry:1 negatively:1 enables:2 hologram:1 behaviors:1 imaginative:1 enforced:1 ev:1 takes:2 hyperspherical:1 dynamically:5 mind:1 argument:4 roughly:1 say:1 ρde:2 b521:1 enforces:1 interacting:1 curved:2 null:3 apparently:2 any:6 acceleration:13 robertsonwalker:1 genuine:1 built:1 zero:16 depending:4 randjbar:1 lim:1 responsible:1 ideas:2 mechanism:1 note:4 sound:1 potential:2 take:3 neither:1 finding:1 gravitons:1 carroll:1 wmap:3 linde:2 circles:1 refocusing:3 fundamental:2 opposite:1 arguing:1 denominator:1 reach:3 metrics:1 most:3 beta:1 involving:1 plus:1 sheets:3 analytically:2 measured:2 jean:1 exponent:1 astro:8 picture:1 especially:2 χp:19 considered:7 clear:1 later:2 coincides:2 drive:1 d64:1 points:2 principle:23 vollick:1 usual:3 physics:2 fact:7 ho:1 particularly:2 show:3 violation:1 supported:1 rti:1 large:1 relation:12 solutions:3 astrophys:1 trivial:1 decade:1 current:1 giant:1 based:9 parameters:4 state:3 controls:1 should:6 only:5 going:3 black:3 geodesics:1 factor:24 constant:13 do:6 dominant:5 above:1 get:2 contracts:1 de:3 fluid:9 rad:1 cle:1 cannot:5 closely:1 progress:1 during:1 dt:3 boundary:13 dp:10 λc:1 evolution:12 approach:2 arxiv:1 dore:1 assuming:3 absurdly:1 coincidence:1 blanton:1 qc:3 redefined:1 common:1 implication:2 ph:10 gravitational:2 view:3 computed:2 observer:6 crunch:4 imposing:1 undergoes:1 violated:2 arrives:1 saturates:1 observed:5 quevedo:1 see:9 radius:2 result:6 best:1 gmail:1 said:1 αt:1 ways:1 review:1 pavon:2 use:1 cosmologies:4 tend:1 vol:1 d59:1 enough:8 smallest:1 ichikawa:1 closed:40 between:3 focal:1 probably:1 subscript:1 conditions:3 quoting:1 wide:1 initially:2 supernova:1 were:1 however:10 denomination:1 renewed:1 steigman:1 key:2 analyzed:1 article:1 improve:1 antipodes:12 both:5 cos:2 prescription:42 reverse:1 desired:1 many:2 region:1 conclusions:3 according:15 tkachev:1 deduction:1 zavala:1 antonio:1 sense:1 com:1 rama:2 experimental:2 arbitrarily:1 among:1 co:2 necessary:2 space:2 point:5 simple:3 character:3 recollapsing:1 corresponds:5 ingoing:1 height:2 dimensional:6 diverges:8 coordinates:1 moreover:3 li:1 b455:1 branes:2 considering:1 late:1 pp:1 described:2 puts:1 gravity:2 computing:2 due:7 been:10 int:1 reduction:1 pa:2 frw:20 interest:1 basic:1 microscopic:1 proposal:1 extreme:1 hardly:1 holographically:1 lett:8 recollapses:1 relaxing:1 sufficient:2 gas:2 remark:1 observe:1 cancelations:1 covered:1 last:2 evidence:2 implications:1 former:1 present:6 case:15 factual:1 exponential:2 b603:1 value:29 will:26 information:1 near:7 suppose:1 fiducial:1 behavior:13 applies:2 cancelled:1 revisited:1 conformal:11 taking:3 a20:1 riz:1 equator:4 metric:2 thus:8 non:3 nomenclature:1 comoving:2 kaplinghat:1 reads:1 vs:1 cone:8 seen:1 ia:1 mod:2 different:8 verified:7 grant:1 perhaps:1 suggest:1 radiation:5 same:6 shorter:1 verifies:1 arguments:2 pressureless:1 units:2 finite:6 grows:4 evolve:1 used:4 eds:1 singapore:1 numerical:2 monotonic:1 hand:2 driven:2 usually:4 intersects:1 moving:1 purpose:1 infinite:3 angle:3 spergel:1 bounce:5 expand:1 recent:3 early:2 lower:1 kept:1 scenario:4 studies:1 well:3 cruz:2 obviously:2 observations:1 solve:1 comes:1 coordinate:5 claims:1 model:26 dimension:5 left:3 spherical:6 criticism:1 r02:1 r04:1 proposed:9 slowly:1 being:3 nd:1 obtain:3 physically:1 reviewed:1 assigned:1 press:2 world:7 alternative:3 speed:2 previous:12 antipodal:2 rapid:1 density:17 teorica:1 regarded:1 measure:1 seems:8 lake:1 mathematically:1 boston:1 thermodynamics:2 valid:5 attractive:1 violations:1 guarantees:1 euler:1 real:1 saturation:3 asymptotically:1 depends:3 demands:1 big:14 flrw:1 unlimited:1 possible:3 period:1 dark:15 increases:2 mon:1 step:2 using:3 intersection:2 gr:3 dare:1 r0n:6 maybe:1 promising:2 imposed:1 like:10 particle:58 follows:2 adiabatic:4 δp:1 specific:1 imposes:2 yields:1 arbitrary:3 degree:1 become:1 works:3 kawasaki:1 braneworlds:1 mathematical:2 performing:1 functional:1 cones:6 classical:1 exposed:1 plausible:1 creation:1 some:7 complexity:3 exposes:1 growth:1 molina:1 examples:1 table:4 universes:8 extended:1 exists:1 scripta:1 happens:1 discarded:2 entropic:2 scale:29 ellis:3 dimensions:2 realistic:1 avoid:5 unavoidable:3 per:4 planck:17 does:8 exposition:1 linearly:1 provides:4 tends:3 sdss:2 minimal:1 measuring:1 scientific:1 power:1 reaching:3 problems:5 radial:1 oscillating:1 confidence:1 expansion:10 pressure:3 meets:1 although:1 hsu:1 cγ:5 refers:1 entirely:1 codified:2 mimics:1 about:4 concretely:1 freedom:4 year:1 strolger:1 compatible:10 decelerated:3 range:5 statement:1 ensure:1 horizon:62 firstly:2 suggestions:1 d60:1 mannelli:1 accessible:1 youm:2 cambridge:4 final:6 previously:1 into:2 integral:1 bound:4 three:3 lies:1 because:4 problematical:1 einstein:1 proportional:1 prefactors:4 astr:1 parametrizations:1 acknowledgements:1 hep:20 additional:1 rothman:1 area:33 jhep:1 assumed:3 support:2 there:5 sinn:3 fast:1 lect:1 much:1 inner:1 way:3 troubling:1 was:3 burgess:1 function:4 lowe:2 hawking:1 form:1 brane:4 but:21 mcyt:1 volume:13 numeric:2 lectures:1 line:5 trying:1 collapses:1 observation:1 directed:1 prevents:1 inside:5 maximum:9 us:5 below:1 limit:23 verification:7 ωn:9 problem:5 similar:3 called:3 detailed:1 saturate:1 associated:5 ad:1 introducing:3 defined:6 certain:1 abstract:1 describe:1 am:1 covers:1 general:9 ap:13 proves:1 right:1 dη:1 simplest:2 physical:7 friedmann:2 functions:4 avoided:1 susskind:13 no:2 objection:1 deserve:1 when:14 detail:1 preventing:1 application:2 other:5 special:1 spatial:18 er:1 shrink:2 conclusion:3 polar:1 rindler:1 models:63 penrose:1 remains:1 uniformly:1 william:1 bounded:2 graphically:3 included:1 lemaˆıtre:1 structure:1 feasible:1 implies:1 difficulties:1 assume:1 dχ:2 required:1 holes:2 4s:1 raphael:1 ensuring:1 presenting:1 volumes:1 time:28 walker:3 n1:1 starting:1 original:2 simpson:2 virtue:2 |
0704.1638.txt |@word concept:2 partial:1 gr:6 crucial:1 scalar:15 grateful:1 trodden:1 consider:1 finally:2 division:2 presently:2 ρc:3 ultraviolet:1 infrared:1 condition:4 presented:3 nondynamical:2 t2:3 solution:9 t0:2 integro:1 consistent:4 approximation:2 second:2 what:5 iterating:1 giving:1 section:1 favour:1 above:2 ground:3 filled:2 fiz:1 respectively:2 loose:1 here:2 desired:2 ansatz:1 represented:1 equations:11 institute:1 shift:1 study:3 larger:1 amount:1 adopting:1 spatially:6 apr:1 while:1 protvino:1 planck:1 conventional:3 additive:2 asymptotic:1 positive:1 nucl:1 more:7 possession:1 flat:6 formally:1 expose:1 curvature:1 normalized:1 particular:1 lcdm:4 account:2 integrating:1 equation:7 modified:2 ρs:9 mp:6 ms:3 pλ:3 following:1 cosmological:3 expanding:1 carroll:1 high:1 normalize:1 respective:1 verify:1 discussion:1 exceptional:1 pure:1 instead:1 parameter:6 massive:1 fs:3 description:3 emulate:1 after:1 derived:1 law:1 dynamical:2 lines:1 cosmology:1 accelerated:6 so:2 fundamental:2 representation:1 order:2 least:1 indeed:2 produced:1 paper:3 including:1 looks:3 argued:1 cold:1 before:1 ln:5 fix:1 relativity:1 derivative:1 combination:2 numerically:1 anticipated:3 graviton:7 now:1 yu:4 day:1 nor:1 term:5 realistic:2 filling:1 found:2 characterized:1 homogeneous:5 differential:1 fairly:1 there:1 energy:8 t3:1 entering:1 our:1 eq:15 ru:1 shown:1 m2p:9 cancels:1 m2s:2 may:5 reader:1 ref:4 correct:1 bordering:1 earlier:2 theory:4 quite:3 emulation:1 besides:1 put:6 hubble:3 could:1 transition:1 turn:1 isotropic:5 hence:1 onto:1 neglect:2 first:7 origin:4 already:2 possessing:1 reflected:1 restrict:1 adopted:2 reached:1 given:5 perturbation:1 introduction:1 behaves:1 approximately:1 their:1 master:3 too:1 gives:2 moscow:1 exactly:1 zeroth:1 sizable:1 part:2 somewhat:1 tacitly:1 than:1 reflection:1 kind:1 require:1 zero:1 regulator:1 matter:5 were:2 russia:1 generality:1 explicit:1 pirogov:4 clearly:3 latter:6 gravity:2 mechanism:1 note:3 potential:1 gravitons:8 accuracy:1 though:1 experiences:1 significant:1 pair:1 αt:3 tλ:46 considered:2 exp:3 physics:1 particularly:2 phenomenon:1 cdm:3 brief:1 relation:4 substituting:3 subtracting:1 proposed:3 parameters:1 negligible:2 should:4 only:3 explicitly:2 factor:5 dm:7 viewpoint:1 get:8 dependent:1 de:7 da:1 dt:1 neither:1 evolution:17 densities:1 arxiv:1 qc:4 common:1 fixed:1 ωs:5 phenomenologically:1 plausible:1 see:3 result:1 sea:1 discussions:1 luminous:1 emulating:1 kinetic:1 tensor:1 review:1 missing:1 case:3 state:4 correctly:2 between:1 justified:2 conditions:1 nature:1 both:1 many:1 region:2 according:2 distinguished:1 etc:1 context:2 contribution:6 otherwise:2 afterwards:1 conclude:1 period:5 ps:5 basis:1 addition:1 due:1 describes:1 yad:1 ph:1 corresponding:1 6h:1 present:3 applied:2 look:1 exponential:1 value:2 will:1 near:1 3m2p:1 phenomenological:1 characteristics:1 thus:6 comoving:1 vs:6 author:1 make:1 same:1 any:2 epoch:2 parts:1 arguments:1 modification:1 independent:2 investigated:2 effect:2 hand:2 v0:2 early:3 supersede:1 scenario:4 nevertheless:3 well:1 without:2 consistency:3 model:5 paradigm:1 parametric:1 dimension:1 λs:16 just:3 less:1 being:9 useful:1 recapitulated:1 yr:1 candidate:1 density:3 source:3 priori:1 excited:1 corresponds:2 dark:7 inflation:2 vacuum:4 necessary:1 like:3 follows:8 qualitative:1 serves:1 remind:2 self:4 understood:1 ourselves:1 scale:5 integration:1 critical:1 exposition:1 refer:1 power:1 expansion:8 pressure:4 properties:1 universe:20 o:6 important:1 artefact:1 h2:2 into:3 integral:1 presupposed:1 references:1 proportional:1 reducing:1 unambiguous:1 terminated:1 conceivably:2 initial:5 forward:1 was:3 naturally:1 complete:1 becoming:2 astro:1 properly:1 atom:1 line:4 recapitulate:1 true:6 characteristic:2 gravitational:2 up:4 us:2 similar:2 dτ:1 diverges:1 constant:11 introducing:1 defined:1 likewise:1 abstract:1 describe:1 general:1 dξ:1 accounting:1 physical:1 functions:1 when:1 reality:1 field:6 fs2:4 other:2 role:1 details:1 spatial:1 massless:1 conclusion:2 briefly:1 respects:1 preceding:1 problems:2 a0:2 a3:2 a2:2 variable:1 assume:2 age:1 required:1 equivalently:1 mass:4 time:6 original:1 |
0704.1639.txt |@word limited:1 extrapolated:1 unflavored:13 lagrangian:14 magnetic:3 dynamic:1 four:13 andre:1 consists:6 forget:1 whose:3 const:6 violate:1 contained:4 γi:2 under:14 alessandrini:2 worth:2 chirally:2 alternating:1 conjecture:2 desirable:2 liuti:1 rise:4 connects:1 every:2 summarized:2 experimentally:11 believed:2 school:3 solution:5 frozen:1 convenience:1 vector:19 indices:4 reliable:2 degeneracy:24 chew:3 force:2 consistent:1 direct:3 approximation:12 scrutinize:1 rigorous:2 qualitatively:9 quarkonia:1 spontaneously:1 nefediev:2 panda:1 even:14 established:4 errors:5 preferences:1 specification:2 selected:1 establishes:2 new:19 increasing:4 parametrization:2 specialist:1 stringlike:1 notions:1 fiz:10 residual:3 here:5 reported:3 fairly:1 mev:8 systematized:1 olsson:1 quite:8 logarithmic:1 obtained:13 fritzsch:1 daughter:10 leutwyler:2 rigorously:1 study:1 changed:1 approaches:11 couplings:1 characterizing:1 stressed:1 symmetrical:1 adopting:1 changes:1 der:1 criticism:1 golden:2 yamada:1 projection:1 classification:11 elaborated:4 explained:2 highly:12 glance:1 total:6 linearly:3 isosinglets:1 derivatives:1 would:24 negative:2 noting:1 m0:1 m2:22 drechsel:2 type:10 von:1 separated:2 nauka:2 successful:3 solitons:2 naive:1 ascribe:1 odinger:1 aware:2 berlin:1 correspondingly:2 charged:1 must:13 springer:1 word:2 macdowell:7 work:12 mh:3 mk:1 theories:6 suggestive:2 mq:3 temperatures:1 concepts:1 exceptions:2 example:12 impose:1 wang:5 indicated:4 give:2 relativistic:15 cited:2 preserving:1 table:2 generically:1 degenerate:18 cites:1 pseudovector:1 end:5 hoc:1 provide:5 feature:4 far:4 significance:1 answer:5 symposium:2 widespread:1 preferable:1 classify:1 gordon:1 badly:1 description:11 transforming:1 after:11 inessential:1 containing:2 lab:1 diagram:1 modest:1 spectrometer:2 summarize:2 law:1 parallel:1 constants:3 distinctions:1 attempt:3 effective:37 helsinki:1 bootstrap:2 acknowledged:1 greek:1 complexity:1 ultimate:1 correlation:1 order:15 chromoelectric:1 restriction:2 interpretation:5 enter:1 over:9 mx2:1 london:1 iachello:10 before:6 position:1 malkin:4 fit:1 personal:1 fix:1 striking:1 better:4 d4x:1 differently:5 persist:2 hidden:4 maximal:2 eventually:1 them:5 widely:2 effects:5 they:34 singularity:2 eigenvalue:3 gev2:12 grows:1 yost:1 toroidal:2 each:7 side:1 mean:2 schemes:1 independent:1 series:4 principles:1 literature:7 substantially:2 zahed:2 ru:1 admissible:1 restricted:1 crucial:2 particles:7 re:1 precision:1 reader:1 i2:12 mρ:2 linear:25 barrier:1 little:2 free:2 standard:2 estimate:1 degeneracies:3 chiral:115 domokos:8 ordering:1 ohler:12 signature:2 c3v:3 cleaning:1 already:8 features:7 jhep:7 researches:1 encouraging:3 zρ:2 channels:1 philosophical:1 superweak:8 adopted:1 another:7 toy:1 revival:3 eqs:1 twisted:2 approximately:12 needed:1 confirming:1 master:8 too:1 upshot:1 postulate:1 unbroken:1 serve:1 wisdom:1 somewhat:10 pagels:1 distance:4 anisovich:9 target:1 showed:4 second:18 correlators:7 preparation:1 matter:2 interrelated:1 historical:2 tion:1 peris:4 perturbative:6 bridge:1 entail:1 respecting:1 modern:7 mind:2 spectrum:88 7th:1 manner:1 take:2 seem:1 unaffected:1 tells:2 contents:2 relatively:3 forced:2 strength:1 genuine:7 latter:11 forces:5 sakurai:1 circles:9 broglie:1 object:1 vortices:2 exercised:1 metrics:2 extending:2 regular:1 plenty:1 phase:2 unorthodox:1 manifested:1 petry:3 macfadyen:1 observation:6 frautschi:3 calculated:1 vertices:2 yang:1 principle:5 shirkov:1 sum:12 came:2 incorporate:1 colors:1 gauge:1 solutions:5 constituent:7 keywords:1 earth:1 proposed:28 situations:1 explain:5 pomi:2 rico:1 rich:2 kunihiro:4 borrowed:1 do:16 assignment:5 mixture:1 above:12 de:5 preferred:1 yielded:1 criticized:2 reversal:4 despite:1 unfortunately:3 singapore:5 chronological:1 textbooks:1 fields:5 consisting:1 bad:1 analytical:1 explanations:2 valid:2 anselmino:1 gegenbauer:1 observes:2 1960s:24 observed:22 depends:2 radius:1 result:12 discussions:16 best:4 subject:11 brazil:1 said:1 tensor:1 away:2 artificial:1 yet:2 symmetric:1 µl:1 unable:1 regge:39 drawn:1 babar:1 approach:21 discovery:5 nambu:9 terms:4 parallels:1 extend:2 nature:4 gedanken:2 weak:7 however:24 topology:1 suggested:7 cos:1 beck:1 demanded:1 opˆ:1 casimir:2 exceeds:1 contribution:5 disappears:1 presumably:2 appeared:5 character:3 goebel:1 polynomial:2 2nr:1 conference:1 mathur:1 decoupling:1 basis:1 simplification:1 chirality:4 three:14 been:12 much:11 interpret:1 interest:6 basic:1 expected:4 algebras:1 dynamically:3 toller:7 life:1 supersymmetric:1 quantities:5 coincides:2 coherent:1 confinement:7 mandelstam:1 blin:1 spin:31 applied:7 srivastava:1 efimov:1 aip:1 remaining:1 aim:2 euclidean:4 near:9 suppose:1 leaves:1 property:3 inspired:9 procedure:1 brodsky:2 phenomenological:5 ii:4 ij:4 conf:1 pathology:1 disappear:1 confirmed:3 perform:2 apparently:1 make:5 dubin:2 complex:3 several:4 couple:1 evolve:1 bicudo:4 peaks:10 i1:12 trajectories:58 tops:1 differing:3 counterparts:1 hand:9 potentials:4 vainshtein:1 shortly:1 scenario:1 possibly:1 possesses:2 fittest:1 left:7 graded:1 just:4 mills:1 aside:1 assigned:3 identify:1 transforms:1 facts:1 scattering:14 eigenstates:5 previous:3 rnp:1 gluons:2 candidate:2 infinitely:3 zakharov:2 similarities:1 regarded:7 had:6 evidences:1 belongs:1 easy:1 anyi:2 expelled:1 gave:1 kirchbach:21 breaks:1 posed:1 possible:8 ope:6 descending:1 unique:2 stephanov:1 apart:1 appearing:2 zachariasen:1 contradict:1 specific:1 remind:4 steps:1 invaluable:1 valence:1 kiritsis:1 right:9 old:7 deal:1 people:1 czech:1 successfully:1 somehow:4 eiqx:1 escape:1 confusing:1 shapes:1 fourth:3 electromagnetic:3 quarks:12 comments:3 unit:3 gapless:1 unstable:1 core:2 plot:2 colley:1 constructive:1 compean:2 properties:4 takes:4 flourished:1 o:77 antiproton:1 automatically:3 considerations:3 rotations:3 bound:6 son:2 down:5 reducible:2 hermitian:1 ussr:1 formidable:1 1990s:9 refined:1 methods:1 approximate:12 width:2 squires:1 physicists:1 way:9 resulted:4 was:155 happy:1 lowest:7 underestimated:1 form:31 offer:1 forming:2 differences:2 removes:3 idealized:1 failure:1 incorporation:1 justify:1 encoded:1 absent:2 inside:7 attached:2 crystal:17 syst:1 stages:1 b1:1 duals:1 abstract:1 b3:1 textbook:2 evidence:3 conserved:5 guessed:2 exist:2 simulations:2 check:1 physical:8 vertical:1 ni:8 nn:3 no:10 na:1 nc:5 generally:3 vanishes:1 nf:4 schwinger:7 composite:1 jona:3 interested:1 role:1 ambitious:3 papers:8 test:3 nr:8 picture:15 superposition:1 models:42 dies:1 convincing:2 bottom:1 zwanziger:1 variable:2 parities:5 regime:1 factorized:1 pion:7 assume:1 typically:5 interval:1 governed:1 χi:3 time:26 n1:1 n2:2 backward:1 restored:6 slope:9 concept:6 remarkable:3 switched:1 global:2 alternatives:1 leads:1 remarkably:1 devoted:4 certainly:3 clarification:1 shrinkage:2 noncompact:3 recurrence:3 finally:8 pnpi:1 petersburg:1 niemi:1 discovering:1 stabilizing:1 analogous:4 klempt:5 string:26 orthogonal:1 frequencies:1 choice:6 forkel:2 stays:1 emphasized:4 exact:3 discovered:6 impressive:1 solves:1 presented:1 did:8 irreducible:17 proposals:4 solved:1 accumulation:1 added:2 attracting:1 upper:1 mn:3 says:2 occurrence:5 dealing:2 prediction:2 sign:2 spectral:4 appear:7 current:12 axial:19 fortschritte:1 goes:1 lifshitz:1 kleinert:6 reply:2 falling:1 boost:1 filled:3 explosion:1 jido:2 unobserved:1 understanding:2 tachyons:1 groups:8 address:2 alone:1 along:3 appears:3 change:1 q4:1 thirty:4 studied:2 commonly:2 mx:1 accomplished:1 usually:6 resonance:8 rafael:1 capstick:1 emerge:5 useful:3 extra:3 prefer:2 compare:4 marked:4 f3:1 gluon:3 newslett:1 sharper:1 fluxtubes:1 sake:1 positive:3 kaidalov:8 predictions:3 tightly:3 coalesce:2 live:1 opposed:1 scope:1 compactly:1 theoretical:14 molecules:3 towers:8 apparent:1 symptomatic:1 validity:1 rigid:2 cases:9 insights:1 rotational:2 e852:1 deformed:1 originally:4 pretend:1 oscillator:2 cat:1 reviews:2 fock:5 values:14 following:16 making:3 stimulating:1 ma1:1 claim:1 figure:10 predict:2 permutations:1 smirnov:1 1980s:4 karch:1 spinorbital:1 performed:5 allowed:3 hydrogen:11 occur:4 winter:1 discussion:1 mukunda:1 criterion:2 pure:2 familiar:1 coleman:2 parameter:1 dominance:2 product:1 paramount:1 mat:1 influenced:1 may:15 residues:4 convincingly:1 designed:1 improving:1 representations:26 data:36 grow:1 man:4 yaouanc:2 stress:1 natural:8 dynamical:48 sectors:1 explicit:4 su:29 st:1 beyer:2 so:20 progressively:1 kalashnikova:1 sl:2 representation:28 perrottet:1 sf:1 typical:2 acts:1 joins:1 nucleon:14 indeed:10 mainly:2 years:14 ioffe:2 course:1 experiments:11 lss:1 cuts:1 argued:6 still:3 tendency:3 derive:3 group:72 thank:1 how:3 interesting:7 coordinates:1 forms:4 attraction:1 constitutes:1 mail:2 main:3 happened:4 correspondence:4 non:27 steinke:1 thereby:1 regularities:4 rivelles:1 equidistant:2 half:4 now:7 discuss:4 maintaining:1 possess:2 term:8 holographic:6 equality:1 name:3 xli:1 lies:1 james:1 advent:2 establishing:1 possibilities:1 quartet:3 goldstone:7 en:2 significantly:2 populated:1 ed:7 sov:5 approximates:1 manifests:2 breakthrough:2 entering:1 year:1 wavelength:1 happen:2 eq:18 intended:1 emerges:3 shown:3 space:13 squared:9 attracted:4 seriously:1 emerged:2 smatrix:1 formula:3 correct:2 shows:2 inevitably:1 earlier:6 ples:1 theory:36 singularities:4 gribov:5 possibility:7 quark:56 unwanted:1 besides:1 remainder:2 accommodation:5 care:1 language:2 ministry:1 transition:3 diquark:5 motion:1 turn:3 place:4 massive:2 think:1 first:44 origin:5 symmetry:119 kernel:1 variables:3 requirement:1 transform:2 georgi:2 simplified:2 fast:2 directly:3 carry:5 open:7 angular:11 wilczek:2 given:15 necessarily:1 unitarity:1 indicate:2 mukhopadhyay:1 fortuitous:1 types:2 realization:11 1j:1 speaking:3 gives:7 fraction:1 mostly:5 distribution:1 moscow:2 continuous:1 transverse:1 pnl:2 x2:1 specialists:3 eliminated:1 than:19 specify:1 royal:1 third:7 accordance:1 future:2 glueballs:6 were:40 venturi:2 outcome:1 russia:1 questionable:2 sao:1 pro:1 turned:7 argument:1 generalization:2 say:8 conspiracy:3 occupied:1 any:19 fashionable:2 pineda:1 ideas:16 note:2 emphasis:1 potential:9 idealization:1 converged:1 coincide:6 wonder:1 channel:4 begin:1 converse:1 deterioration:1 trace:2 opposite:16 probed:1 decreasing:3 molecule:1 paid:1 algebraic:2 enumerates:1 remarks:2 baryons:72 analytically:3 inequalities:1 especially:3 surprising:1 considered:4 average:1 later:13 tooth:1 feynman:8 nuclear:3 duplication:7 sigma:1 quantity:1 precise:3 rating:2 show:5 delta:2 notations:2 russian:1 nlm:1 ground:16 slow:1 written:3 liberation:1 only:24 explicitly:1 developed:4 admixture:1 legendre:1 gev:22 get:1 rept:6 unimportant:1 cannot:5 nearly:7 lighter:1 progress:1 2mn:1 justified:1 reveal:6 held:1 bifurcation:1 preliminarily:1 yield:1 predicted:9 uncover:1 finishing:1 discussing:4 reveals:4 physically:2 j1:17 j2:17 relative:2 namely:2 cim:6 violates:2 concern:1 pakvasa:1 invoked:1 strathdee:2 enlightening:1 ways:6 excitations:23 review:20 definite:4 colours:1 enough:7 between:21 geometric:5 reading:3 notice:1 parent:1 faded:1 jp:4 ascribed:1 gratefully:1 ji:10 jk:3 jetp:4 come:1 originates:2 reaction:4 realizable:1 many:17 region:13 according:9 propagation:1 purely:1 instanton:4 expression:1 mann:7 among:17 color:2 pole:5 anti:1 constant:8 actually:1 considers:1 pseudoscalar:4 pqcd:1 destroyed:1 unusual:2 analogies:1 suppressed:3 smekal:1 axialvector:1 mark:2 bardeen:3 springerverlag:1 workshop:1 combined:5 hardly:4 fig:40 direction:2 scardicchio:1 restrictions:1 formed:5 observe:3 external:2 stems:1 convergent:1 former:1 those:1 case:40 paton:1 arnold:3 trick:1 situation:17 tunneling:2 conformal:21 taking:2 planar:3 coupled:3 discrepancy:1 cluster:18 good:6 converts:2 zhang:1 different:35 same:30 epoch:1 arguments:3 universality:1 reminder:1 constructed:3 visually:1 investigated:2 assigns:2 closest:1 accommodated:2 sudarshan:1 barger:5 doublets:20 arose:1 deficiency:1 invariance:16 relies:1 locality:1 roughly:1 without:7 zapiski:2 components:3 fixing:2 coordinate:1 model:49 candidates:3 summer:2 coimbra:1 being:6 when:17 guided:2 rest:3 ne:2 imprint:2 relevant:10 cease:1 handed:7 multiplet:7 flavor:5 renewed:2 espriu:6 seems:13 except:3 unambiguously:1 treatment:2 extensive:1 momentum:26 alfaro:1 real:2 aspects:3 around:3 represents:1 rules:8 multiplets:14 phenomenologically:1 early:3 hove:1 campos:1 vacuum:9 using:4 accepted:4 decomposes:2 vague:1 ruled:1 fantoni:1 particle:21 bethesalpeter:1 collective:2 robson:3 either:6 derrick:1 tower:5 callan:1 stationary:1 reduced:1 grouping:1 specifies:1 satisfactory:1 nobody:2 competition:1 deduce:1 moreover:1 matching:1 reasons:2 alternates:1 nonzero:1 provided:4 reflectional:1 excitation:3 extensively:1 mesons:76 critical:4 decomposition:4 sem:2 moderate:5 refer:4 measuring:1 eigenfunctions:1 faddeev:2 scientific:6 sixth:2 equivalent:6 notable:1 broken:11 found:2 refers:1 hadron:37 comparison:4 central:1 hampers:1 discussed:10 ideology:3 mixed:1 inclusion:2 communication:1 image:2 ηl:1 numerically:1 hypercharge:1 references:12 operator:4 accumulated:1 shrinking:1 theoretically:2 spinors:3 hep:33 her:1 area:2 assumed:6 there:23 encounters:1 low:21 labelling:1 slopes:2 emergence:1 complete:6 regard:2 tarrach:1 curiously:1 recoil:1 trying:1 enlarging:1 applying:1 coulomb:4 minkowski:1 quantitatively:1 shifman:5 restores:2 organize:1 obtains:5 strongly:2 ohm:1 accentuated:1 ad:1 intercept:3 certain:15 describe:9 strips:2 general:9 loops:3 ensuing:1 together:1 formulation:1 moves:2 again:3 ademollo:2 hybrid:1 field:15 caltech:1 massless:4 deviation:1 briefly:1 separate:7 symbol:2 includes:1 a1:8 a0:1 a3:2 a2:10 peak:6 serious:1 quasiclassical:2 nuclei:2 curve:1 enhancements:1 mass:78 resembles:1 starting:2 strings:5 represent:2 sci:1 consider:18 caused:4 forbidden:1 lack:1 splitting:10 scalar:12 mp2:1 follow:2 research:2 revealed:1 reasoning:4 duplicated:1 careful:1 chain:1 equivalence:1 participants:1 nonlocal:5 swieca:1 program:2 th:11 nodes:2 presentation:1 belonging:6 amplitudes:4 worse:1 straightforward:1 very:15 conjectured:1 puzzles:2 witten:1 interpreting:1 fall:7 difference:11 condition:4 hamiltonian:8 large:34 adjust:1 small:10 ferrando:1 ten:2 go:1 zero:6 perspective:2 pass:1 further:6 residue:1 what:13 nonlinear:1 richard:1 section:17 brief:1 sui:1 witnesses:1 version:4 sur:2 method:4 edited:3 full:3 entailing:1 component:2 answers:1 behaviour:1 selective:1 interquark:1 directions:1 strong:30 equations:4 ves:1 search:10 antisymmetric:1 introductory:2 allows:1 amount:2 published:1 vaidya:5 narrow:8 elongated:2 via:1 followed:1 requiring:1 manohar:2 ask:1 2000s:3 kogan:1 readily:1 poor:1 conventional:1 proceed:1 revelation:1 contains:2 quasi:1 nucl:22 sitter:1 ψn:2 qcd:55 taken:5 minor:1 more:29 knows:3 abridged:1 incorporates:1 operators:2 spoils:1 emission:1 instrumental:1 particular:14 known:23 superconductor:2 dey:4 keeping:1 tuan:1 science:1 equation:10 protons:1 centrifugal:2 remain:2 abandon:1 spontaneous:1 history:4 f0:6 f1:1 f2:5 prehistory:1 f4:2 stated:3 rodriguez:1 neglected:2 ann:1 states:129 numbers:15 sense:8 g2:1 einhorn:1 information:4 needs:7 rather:15 breaking:9 foreseen:1 occasionally:2 cline:5 acta:1 csr:30 rfbr:1 tried:4 algebra:4 derived:6 reflect:2 tries:2 plane:7 waves:1 geometrical:4 cutoff:1 response:1 contrived:1 short:5 spectra:6 negligible:5 fundamental:11 bugg:4 dream:1 help:4 essence:1 soon:4 indistinguishable:2 resorts:1 attitude:1 paper:5 through:6 existence:13 kinetic:1 y5:1 its:22 roots:1 style:1 rapidly:3 energies:12 solving:3 antisymmetry:1 boson:7 fruitful:1 late:4 absence:3 systems:5 lovelace:4 travelling:1 might:6 deformation:1 supersymmetry:4 freund:2 someone:1 motivated:3 yl:1 ya:6 propose:5 anticipated:3 framework:5 permissible:1 inelastic:4 yu:11 bigger:1 chromodynamics:1 easily:2 always:3 loosely:2 fπ:1 eager:1 radial:16 2l:1 inherent:2 characterized:1 referred:4 heavy:16 reactions:1 bends:1 weight:1 hadronic:2 guo:1 energy:41 reduce:1 idea:24 used:8 extended:2 isospin:9 expect:2 quantum:40 operation:1 ides:1 deals:1 dominates:1 discrete:12 unnatural:1 nuovo:6 since:9 induces:1 unknown:1 denotes:3 acting:2 hill:3 denoted:3 induced:2 issue:7 occurs:2 symme:1 kalloniatis:1 risen:1 circumstance:1 favored:1 guess:1 drives:1 difficulty:1 reason:7 imagine:2 put:8 dubna:1 beginning:7 definition:3 pairs:2 unresolved:1 broniowski:1 exponentially:2 consequence:9 hadrons:18 assign:1 delicate:2 velo:1 major:2 prevent:2 relate:2 number:28 antiquark:9 construct:1 story:1 perturbation:4 temperature:1 introduction:1 leading:3 5th:1 least:11 assumption:2 statement:3 artefact:1 scheme:8 observations:4 passed:1 baryon:34 nauch:2 part:8 authors:6 schr:1 believe:1 jefferson:1 federation:1 reflection:3 kind:13 molecular:2 riska:3 metsch:5 annihilation:5 determined:1 supposed:2 treated:2 motivation:1 substantiated:1 electrodynamics:1 concentration:1 cft:3 lie:3 wilson:3 constructions:1 built:1 patterns:1 self:1 highprecision:1 onset:2 extracted:1 internal:10 generalized:2 analogy:5 darmstadt:1 play:1 experienced:1 diatomic:1 measures:1 singlet:4 most:6 significant:1 undertaken:1 nothing:2 extremely:2 singled:1 unequal:2 mobile:1 clear:5 sometimes:3 cover:2 reflections:1 exp:1 barrel:17 subgroup:8 physics:31 lying:8 joining:1 sector:13 particularly:1 nh3:1 converge:2 minimizing:1 relation:10 tft:1 fine:1 find:5 impact:1 reminiscent:1 causality:1 heavily:1 failed:1 indian:1 generators:3 subsection:1 pretty:1 money:1 skyrmion:1 ruiz:1 his:5 dominant:1 invoke:1 meanwhile:1 dependent:1 compiled:1 express:1 pions:3 famous:3 polarized:1 listed:1 international:3 combinations:1 freedman:5 alexander:1 continuum:7 arxiv:3 doubled:8 activity:3 doubles:2 gell:7 wrote:1 set:5 achieved:3 unpublished:1 plausible:2 see:52 bare:1 descriptions:2 kochelev:2 close:9 precursors:2 isovector:1 eman:2 distinctive:1 won:1 various:12 2m2ρ:1 eksp:3 conditions:2 available:3 recently:8 missing:10 initially:2 attention:8 pcac:3 spectroscopic:3 vanishing:7 distinguish:2 both:17 collaborators:1 last:4 quantization:1 politzer:2 became:6 technics:1 context:1 forgotten:7 criterium:1 whole:5 finds:1 experimental:42 harari:1 point:19 simple:5 lagrangians:4 asymptotically:1 corresponds:2 proton:3 coincidence:3 dimensional:17 simply:7 throughout:1 ensures:2 described:6 transformations:3 gravity:1 due:17 describes:4 complicated:1 asymptotics:2 extends:1 ph:31 extreme:1 lett:67 generating:5 corrigan:2 partly:4 1950s:1 covariance:1 gap:8 determination:4 systematic:11 p2:2 uncertain:1 exponential:1 pacs:1 solid:4 wiedner:1 straight:3 estimations:1 while:14 replaced:2 behavior:6 intercepts:1 guide:1 identical:4 unitary:2 2fπ2:1 vol:2 averaging:1 overlooked:2 itself:14 confining:4 seen:1 ready:1 polon:1 vanish:1 fermion:7 currents:12 funny:1 superstrong:11 grant:3 halfinteger:1 belong:2 stimulated:1 glashow:2 orgyi:1 neutron:1 higher:19 development:4 calculation:1 weinberg:12 comprehensive:3 pancheri:1 levels:7 arrived:2 purpose:1 unconfirmed:1 recent:5 lower:1 task:2 pµ:1 analysis:20 concrete:1 machinery:1 pomeranchuk:1 consistency:1 gsi:1 chemistry:1 speculative:1 glueball:4 reviewed:1 shape:1 questions:1 world:7 alternative:2 cut:1 conclusions:4 golterman:3 kretzschmar:1 signals:1 source:1 erator:1 violations:1 mod:16 excited:19 build:1 reparametrization:1 phenomenology:2 showing:1 smallness:2 helicity:2 integer:4 bit:3 antinucleon:1 formal:2 modifications:1 semi:1 systematically:4 follows:5 signal:2 manifest:2 separately:1 imposes:1 yields:1 byproduct:1 popular:2 experimentalists:3 essential:2 spins:5 mathematical:2 often:10 creation:1 some:56 back:1 understood:1 trends:1 towards:1 examples:2 uspekhi:1 mirror:3 curious:1 newsletter:2 ourselves:2 gradually:6 scale:12 describing:2 resonances:23 measurements:2 integration:3 behave:2 proc:5 minimal:4 bn:1 dictates:1 obscures:1 agreement:6 stem:1 chiralities:1 plots:2 dictated:1 analysing:1 beane:2 works:1 proven:1 recalling:1 range:8 breakings:1 extensions:8 ylm:1 consequently:4 block:1 okun:1 seeing:1 rho:2 into:29 within:28 integral:3 isomorphic:6 awaited:1 suppl:2 exercises:1 appropriate:2 primarily:1 szczepaniak:1 proportional:1 presupposes:1 clustering:23 measured:2 twodimensional:1 question:13 long:15 occupy:1 bosons:8 inconsistency:1 forward:8 subsequent:1 sections:3 considerably:1 arise:1 totality:1 great:1 multispin:1 lint:2 atom:19 hopes:1 line:6 treats:1 paolo:1 consist:1 characteristic:1 stumbling:1 up:11 us:9 bethe:6 ul:1 spectroscopy:4 planes:1 fluctuations:1 schechter:2 similar:18 called:18 polarised:1 associated:3 reconcile:1 defined:7 ko:4 chan:2 inferred:1 single:3 pˆ:3 formalism:1 duality:4 dashen:5 analyticity:2 scrutinized:2 amounts:1 dashed:4 application:2 priori:1 department:1 confine:1 nice:1 explaining:1 draw:1 elements:2 generates:3 accidental:2 gross:3 problems:4 prepared:2 meaning:1 restoration:18 suppression:3 reservation:1 vairo:1 structure:12 dimensions:1 ago:1 independently:6 correlated:1 implies:3 practically:3 age:2 required:3 speculations:1 orbit:2 notion:1 fitted:1 everywhere:1 requires:2 having:2 once:1 katz:1 partial:9 results:17 gy:1 existing:2 illustrated:1 broader:5 intricate:1 contributions:3 ammonia:1 gi:4 seemed:3 compact:5 excludes:1 concerned:4 young:1 excluded:2 breach:1 include:3 resources:1 confirmation:2 presently:3 g1:1 harmonics:5 octets:1 wave:20 electron:1 valued:2 mixing:4 continued:2 timely:2 positions:3 notes:1 try:2 skipped:1 interpolating:7 noted:5 configurations:2 concluded:1 zn:1 zh:3 destroys:1 donnachie:1 imply:2 dynamics:11 odd:4 index:1 rate:4 chicago:1 giving:2 saw:1 expressed:2 experiment:15 poles:5 collins:1 kovner:1 body:2 justification:3 degree:2 exchange:13 respectively:3 growing:3 objects:3 separation:4 others:1 consideration:1 invented:1 deduced:2 remark:1 cern:3 involved:1 larger:3 suggests:4 resulting:2 opinion:1 makes:2 formulated:5 scales:3 maldacena:2 private:1 addressed:4 summation:1 apply:4 meson:65 m2ρ:3 standing:1 use:11 asymptotic:17 remains:2 readable:1 next:5 few:3 depicted:1 decuplet:1 usp:3 doubling:137 stage:6 historically:1 reflects:1 formally:2 afonin:18 becomes:11 occurred:1 labelled:5 eichten:1 iii:3 hints:2 topic:2 account:8 challenge:2 averaged:8 vento:1 salam:3 reproduce:5 assumptions:6 publications:1 averages:1 decoupled:1 refine:1 control:1 process:1 benz:1 πj:1 high:30 effectively:3 lorentz:14 something:3 vainstein:2 six:4 regions:7 pair:10 beams:1 instead:1 tension:1 sawyer:1 demonstrating:1 fits:2 realized:15 advocated:4 coupling:6 light:24 counter:1 lines:6 correspond:2 redundant:1 element:1 realizes:1 allow:2 subsequently:2 gµν:2 holds:1 wigner:5 premature:1 produces:2 top:2 equally:2 interpreted:3 produced:2 looks:5 mentioned:5 aj:1 le:2 decay:1 chosen:4 masses:39 lm:1 glozman:9 degrees:3 choose:1 h3:1 clusters:21 phenomenon:19 eur:6 puts:1 acknowledgments:1 junction:2 greater:1 gasser:1 material:1 landau:1 mention:5 volkov:3 hands:1 rotation:5 dirac:1 simonov:7 university:3 sufficiently:2 l2:1 mode:2 truth:1 shortage:1 rising:3 constraints:1 enigmatic:2 weyl:5 related:19 elementary:2 iγµ:1 measure:2 our:9 transitions:1 out:18 respects:1 matrix:8 nowadays:1 santopinto:1 rev:83 m2n:4 lecture:1 wick:4 orbitally:2 integrated:1 math:3 thereupon:1 interactions:21 diagonal:1 ban:2 completely:5 york:2 latest:6 sarantsev:1 interaction:9 geometry:1 determining:1 could:15 m20:6 times:3 length:4 derivations:1 qualifying:1 hence:20 teor:4 yudichev:2 andrianov:35 physik:2 manuscript:1 possessing:2 powerful:2 date:1 precisely:2 bears:1 πk:1 sep:1 πn:7 system:8 relations:4 their:6 πp:2 fermions:1 really:1 final:2 ribeiro:2 explanation:7 exactly:4 pirjol:1 reflecting:1 recurrences:1 manifestation:3 branches:2 decisive:1 unexpectedly:1 napsuciale:1 tjnaf:1 richer:1 limiting:1 amplitude:18 rarita:6 providing:2 exhibit:1 tracts:1 symmetries:26 cohen:6 m2a1:1 kepler:2 need:5 curved:2 demonstration:1 clearly:1 viewed:1 prohibits:1 mik:7 angle:2 minimally:1 min:2 studying:1 able:8 mid:2 mechanism:6 instance:12 detector:3 rediscovered:1 accuracy:2 lectures:1 unless:2 hydrogenlike:1 collaboration:2 who:4 jorge:1 mimics:1 intentions:1 eight:1 preliminary:3 intrinsic:5 why:3 consequences:1 frederico:2 neighboring:1 enthusiastic:1 ensues:2 looked:2 proceedings:2 mechanical:1 veneziano:5 fact:20 emerging:2 violation:2 text:3 supported:1 rotating:1 bring:1 nowak:3 saturated:2 rough:1 trivial:2 decade:1 principal:16 postulates:1 partners:24 gilman:1 q2:7 based:11 knowledge:3 baryonic:1 nambugoldstone:1 should:28 nonstrange:5 ambiguity:1 gradual:2 partially:2 local:2 hope:5 meant:2 means:12 displayed:4 czechoslovakia:1 simplest:1 overall:3 likely:5 joint:1 ones:7 words:2 doubtful:1 evolution:2 numerous:2 differential:2 tuned:1 nauk:1 contain:3 mercedes:1 fixed:2 view:8 shapiro:3 shedding:1 jµa:2 exists:2 frame:3 ursey:1 accord:2 differs:2 closer:1 phases:1 exploited:2 qµ:1 interacting:1 attempting:1 pattern:9 tend:1 eboli:1 favor:3 state:25 convince:1 closed:4 tens:1 invariant:10 boundary:1 counterexample:1 publishers:1 ends:8 reproduced:3 importance:3 emitted:1 interpolate:1 physicist:1 reproduces:1 hypothesis:7 key:2 configuration:2 tensors:1 observable:2 limits:1 salpeter:6 theoreticians:1 rosenfeld:1 equal:12 attributed:2 fulfilled:1 etc:3 manifestations:1 figures:1 gangopadhyay:1 passing:2 estimation:2 casero:1 comment:1 detailed:1 relativity:1 cn:1 cm:1 conclude:2 harmonic:4 decreases:1 sequences:1 respect:10 basing:3 society:1 singlets:12 kinematic:1 addition:9 trajectory:19 detected:1 yao:1 yad:5 proposal:3 anomaly:1 define:1 citation:1 corresponding:28 retrospective:2 commutes:1 essentially:3 angles:2 decreased:1 formfactors:3 present:14 unlike:1 defining:1 appearance:9 balachandran:5 value:10 choices:1 will:23 arriola:1 abrikosov:1 unpaired:2 guralnik:1 almost:2 vi:2 thus:23 examined:2 against:1 dual:6 turns:1 claimed:1 partner:6 bargmann:1 conserve:1 orbital:5 perhaps:4 gluonic:4 cross:2 unity:1 strange:19 diagonalize:1 units:8 finite:5 difficult:1 practice:1 logic:1 effect:7 0j:1 infinite:6 paredes:1 off:1 center:1 nevertheless:4 modeled:1 well:13 bohm:1 barut:14 spectator:1 sets:2 knotty:1 usual:8 spherical:4 restore:1 deltas:4 less:6 moments:1 das:2 obtain:4 cutkosky:2 underlying:19 predicts:2 momenta:4 adv:1 rapid:4 preprint:2 ads:15 density:1 mansouri:1 nonrelativistic:8 vide:1 lattice:2 detar:3 conjugated:3 resolved:1 fate:1 checking:1 fuji:1 increases:2 five:1 know:3 swanson:1 press:1 immediately:4 recurs:1 moshinsky:1 prominent:3 semiclassical:1 necessary:1 like:23 success:4 exploiting:1 qualitative:4 δi:4 become:9 nucleons:12 soft:1 replacement:1 therein:1 parity:263 shed:2 because:10 classical:9 sequence:2 arrows:2 belonged:1 phenomena:1 njm:1 njl:12 kinds:1 happens:2 lead:7 broad:1 avoid:1 superconductivity:2 instantaneous:1 does:14 assuming:3 mesonic:1 demonstrated:5 biology:1 decomposability:1 expansion:3 although:7 perspectives:1 about:9 actual:3 carried:2 extension:4 freedom:4 introduces:2 dependence:5 quasilocal:2 important:3 insufficient:1 introduced:6 a4:1 converging:1 outset:2 radiative:1 h1:3 assess:1 square:3 mere:2 van:1 additional:3 elastic:3 transfer:8 noticed:2 inasmuch:1 quanta:1 hooft:5 naturally:7 function:8 but:26 hu:1 repeated:3 convergence:8 highest:5 he:3 made:7 jaffe:3 evident:1 instructive:2 whether:3 excitement:1 below:2 converted:1 limit:12 demonstrate:1 problem:29 display:3 mechanics:1 baud:2 pin:1 int:9 universal:4 linearity:6 hatsuda:1 lasinio:3 denote:2 twist:1 flight:2 education:1 approximated:1 inc:1 functions:11 compared:3 qν:1 other:29 branch:1 theor:2 conclusion:1 star:3 radially:3 stay:3 oring:6 brambilla:1 searches:1 auxiliary:1 resolution:2 baker:1 rule:3 original:3 bcs:2 |
0704.1640.txt |@word y1:2 y0:24 λi:2 gk:6 c1:4 ty:2 tv:4 lk:30 tk:1 ly:7 kφ:25 df:1 dd:18 dc:1 dz:8 dt:2 du:1 dim:3 arxiv:1 l2:1 δh:1 l1:2 2n:1 lk0:1 2k:2 zn:1 zi:3 hδ:1 b1:1 b2:1 2he:1 eiθ:8 sup:13 ddc:47 αk:19 math:1 bi:1 bk:30 hǫ:5 cγ:1 z0:3 z1:1 o:18 ln:30 hφ:22 ck:9 cn:10 apr:1 rσ:2 cv:1 loc:3 1v:1 1x:4 due:1 cζ:1 ψk:4 ψi:5 ψn:1 1d:6 2ωf:2 kº:1 ph:2 pn:8 ψe:9 hk:8 x0:2 he:24 supx:1 uz:5 det:14 2kφ:5 supk:1 uk:3 ωn:20 ue:4 ωf:3 vi:4 vn:1 φx:2 lim:9 dhe:1 φa:6 k1:1 k0:9 φe:68 φf:11 φl:1 xº:1 v1:1 ωfn:1 fk:18 sz:14 kk:32 sp:1 su:1 sh:3 exp:21 χi:1 |
0704.1641.txt |@word secondly:1 since:8 partial:2 consider:1 similarity:1 depends:1 squared:1 observatorio:1 desirable:1 results:43 four:1 known:1 disc:33 heliocentric:5 cooperative:1 consists:1 follow:1 disk:5 causes:1 aliases:1 compact:5 whose:2 certainly:1 pedro:1 fits:5 calculate:1 hump:1 technique:7 vs:1 ıa:5 finally:2 program:3 indicate:1 aut:1 th:1 under:3 berriman:2 featuring:1 monograph:1 ın:1 unnecessary:1 applied:5 digit:1 random:2 amplitudes:6 consequently:2 zhang:3 very:14 could:3 phasing:3 schwarzenberg:2 removing:1 focus:1 cataclysmic:8 rotational:1 ultraviolet:7 axes:1 cook:2 specific:1 associated:2 converge:1 final:1 minute:1 mcnamara:1 arnold:2 grey:1 did:2 positions:1 notes:1 shock:1 radii:3 shafter:2 occurs:2 large:10 systemic:15 red:10 small:5 refer:2 humps:2 separations:6 upper:4 too:1 smaller:2 broader:2 ten:1 foundation:1 strikes:1 consistent:6 porb:7 estimates:1 gaposchkin:4 carefully:2 zero:7 noise:9 pasp:1 profiles:2 spectrograph:1 concludes:2 link:1 further:8 estimated:1 accumulated:1 spectral:16 established:2 what:2 nonlinear:5 adds:1 appear:2 incompatible:1 giving:1 beattie:1 section:33 selected:8 3w:1 while:8 agrees:2 current:1 andr:1 abs:7 located:2 above:4 new:6 poorly:1 method:19 contrast:1 publications:1 body:1 cannizzo:1 full:4 dwarf:14 degree:2 respectively:4 even:6 iraf:5 figueroa:1 here:9 understanding:2 ranges:1 reported:1 objects:2 smearing:1 free:3 separation:12 address:2 ratio:4 along:3 strong:11 observing:1 naylor:8 change:2 contraction:1 obtained:27 instituto:1 ahead:1 shift:4 study:1 larger:6 allows:1 completely:2 diagnostic:5 leaving:2 prior:1 amount:1 resulting:2 published:8 usually:3 adopting:2 narrow:13 studies:4 rafael:1 numerical:1 plotted:4 invalidate:1 depths:1 although:10 classification:1 apr:1 folded:2 photometric:8 vin:2 private:2 highly:2 expect:3 visible:5 decrease:3 frame:2 org:1 smak:17 apply:2 total:3 establish:5 estimate:3 select:2 recurrence:1 use:8 figure:24 would:7 distinct:2 subtract:1 vy:1 negative:1 next:2 m5:2 comparing:1 circumstances:1 m6:4 m1:2 therefore:4 distortions:1 taken:4 astr:6 calc:1 type:9 until:2 diagrams:5 more:7 smeared:1 almost:1 aavso:4 excluded:1 vout:3 schlegel:2 stable:1 corrected:4 emission:40 keplerian:8 payne:2 tested:1 visual:4 transient:1 intermediate:2 discrepancy:2 airmass:1 excellent:3 eccentricity:2 cases:3 producing:3 adequate:1 must:4 sample:1 account:1 crosses:2 reveals:2 left:1 mm:1 science:1 equation:2 work:3 eclipse:9 unfortunately:1 theories:1 mw:2 mv:1 values:34 inferior:10 astrophys:2 widths:2 already:2 dwarfs:1 mx:3 sinusoidal:7 compare:5 stream:7 give:3 process:5 extremum:1 ann:1 high:9 effectively:1 assumptions:3 caused:4 numbers:2 allowed:1 sought:1 times:2 robinson:3 evidently:1 opposed:1 m6v:1 hereinafter:1 discussion:4 means:2 feature:2 detector:1 regions:3 far:2 hot:20 criterion:1 elliptical:1 honeycutt:3 instead:5 parameter:3 sin:2 modulations:1 circular:1 map:6 paramount:1 may:14 after:5 derived:24 reflect:2 consequence:1 produce:3 designed:1 coming:4 outbursts:3 wave:1 data:13 constants:1 ansicke:1 szkody:9 introduced:2 third:2 move:1 following:1 light:3 valid:1 spectra:44 lines:32 correspond:8 gilliland:7 wishes:1 so:1 krd:5 fundamental:1 correlation:5 subsequently:1 lined:2 pulled:1 juan:1 typical:1 thorstensen:3 wavelengths:1 interpretation:2 subsections:1 attain:2 developed:1 over:3 fe:1 mainly:3 confirm:1 thomson:3 produced:4 anderson:2 paper:9 through:7 same:10 thesis:1 reconstruct:1 telluric:4 still:3 fwhm:1 its:18 depending:1 before:5 geometrical:2 accepted:1 derive:9 outer:9 thank:1 fit:18 la:2 chosen:1 exact:1 tidal:1 redshift:2 lamp:1 crosscorrelating:1 late:7 detected:5 marsh:13 fig:14 covered:1 main:1 might:5 setting:1 them:2 rwd:1 descriptive:1 than:11 gray:1 press:1 propose:3 material:8 introduce:1 number:1 band:10 sections:1 effects:7 they:15 half:5 front:1 fern:1 discuss:5 association:1 represents:1 term:2 quenching:1 indeed:1 brightness:2 trailed:3 january:2 university:2 covering:2 identified:1 establishing:1 astronom:1 filling:4 magnitude:2 nather:2 reasonable:1 radial:40 unevenly:1 found:11 higher:1 erratic:1 warner:5 em:5 groot:2 rodriguez:1 telescope:1 23m:1 short:1 series:3 energy:1 universities:1 gaussian:11 related:4 applicable:1 challenges:1 martin:3 frequency:2 precedes:1 sion:4 our:40 standards:1 rl1:3 es:1 out:7 shown:22 dominates:1 space:1 types:1 open:4 furthermore:2 surrounded:1 lagrangian:6 research:2 increase:3 modulation:1 dominated:1 gaussians:7 precision:1 squares:9 cause:1 correct:2 outburst:5 shows:6 jer:1 doppler:12 aas:1 02m:1 spot:34 ısica:1 given:7 departamento:1 standard:8 approaches:2 imaging:1 usual:1 onoma:1 inadequately:1 hand:4 diagram:7 pairs:1 cycles:2 determining:1 latitudes:1 days:4 feasible:1 motion:6 conducted:2 plane:2 simulations:1 universidad:2 corrections:1 moving:1 eters:1 echellette:1 first:21 czerny:2 features:13 irradiation:3 variables:5 powerful:1 primary:11 reaches:1 minimum:6 adopted:5 directly:2 reached:1 apparent:1 quality:2 stage:2 size:1 iam:1 differ:3 limited:1 thirdly:1 introduction:1 twenty:2 top:4 system:11 least:11 roche:5 their:15 accretion:11 ballistic:5 observations:19 calculations:5 white:13 cycle:5 smoothed:1 friend:10 low:15 shifted:3 correlations:1 fraction:1 relationship:1 wavelength:2 distribution:1 tool:1 accurately:3 always:1 direct:2 mochnacki:1 assumption:2 optical:3 udg:1 somewhat:1 authors:9 believe:5 peculiar:3 oscillate:1 peaked:3 detection:1 level:2 molecular:1 kindly:1 double:16 mattei:7 second:9 tomographic:1 evenly:1 project:1 matter:2 determined:4 amplitude:17 were:16 crosscorrelation:1 exposures:2 quoted:1 attached:1 pre:2 m2:2 fashion:1 san:1 ran:1 julian:1 correction:5 measure:5 spectrum:20 curves:4 departure:1 adding:1 headings:1 disturbing:1 seen:5 element:1 any:8 novae:5 illuminated:1 confirmation:1 strength:2 angle:4 excess:2 min:2 general:1 latter:5 able:1 mid:2 mechanism:1 metallic:1 note:1 k2:26 k1:14 calibrated:1 take:3 coincide:1 explanation:1 fxc:2 accuracy:3 circles:4 echelle:2 added:11 relatively:1 allow:1 who:4 difference:2 asymmetric:3 most:1 ending:1 errors:2 eight:1 plus:1 significant:1 position:7 phase:21 colliding:2 measured:15 exico:4 latex:1 lee:1 constructed:3 observation:1 surprising:1 considered:2 calculated:3 later:1 cover:4 instrument:1 km:62 order:11 points:2 clean:1 mrd:2 velocity:67 oscillates:2 sum:1 fact:7 favorable:1 precise:1 optimal:2 sin3:2 particularly:2 intensity:5 show:8 text:5 blueward:2 rvsao:1 infrared:4 discovered:2 bright:10 photocenter:2 solutions:1 spurious:1 earth:1 especially:3 spruit:2 find:16 help:1 impact:1 symmetric:4 indicator:1 based:12 zahn:2 parameters:25 macros:1 sphericity:1 explain:1 less:1 distributed:1 enough:1 should:7 quiescence:3 only:9 candidates:1 minimize:1 factor:1 emitting:1 constant:1 he:5 pointed:1 achieve:1 ser:2 sharper:1 external:1 template:8 notation:1 distance:3 lobe:5 there:9 de:7 overall:1 preferred:1 cannot:1 nearly:2 timing:2 during:7 conjunction:12 routine:2 gem:24 secondary:41 uneven:1 increasing:1 continuum:4 sources:2 luminosity:2 arxiv:1 yield:3 acknowledgments:1 discs:1 convolve:1 analytical:1 including:1 recalculated:1 fixed:5 limitations:1 approximations:1 doublet:14 enhances:1 set:8 computed:1 reference:3 acquired:1 variations:2 national:2 hα:24 respect:2 comparable:1 maximum:9 observed:27 mentioned:4 see:28 individual:10 radius:14 result:9 operated:1 close:19 mask:1 advisable:1 best:12 subject:2 closer:2 phases:8 detect:3 computer:1 away:1 03m:1 artificial:5 secondaries:1 boundaries:1 favor:1 state:3 unable:2 various:1 phased:11 correctly:1 between:17 orbiting:1 probably:2 mono:1 approach:1 email:3 wide:1 available:2 gives:1 kem:6 reproduced:1 berg:1 nature:1 importance:1 component:5 weak:5 however:11 spectroscopic:13 dip:1 ionization:1 key:1 contamination:2 rapidly:2 31a:1 come:1 pixels:9 improve:1 suggested:1 both:5 essentially:1 parentheses:1 improved:2 reverse:1 limits:1 discusses:2 many:1 region:12 heating:3 sensitive:1 figures:1 context:1 contribution:1 argue:2 safely:1 blaze:1 trajectories:4 among:2 relevant:1 co:22 huang:1 point:21 enables:1 customary:1 ca:1 each:10 way:4 period:23 height:1 dimensional:1 simply:1 decreases:1 table:13 throughout:2 assign:1 lies:1 smith:1 code:1 better:4 unusual:1 described:7 particulary:1 source:1 addition:1 trajectory:2 reducing:1 due:7 been:17 appears:2 mart:1 reduction:1 much:6 interpret:1 interest:1 basic:2 expected:6 degrees:1 ph:2 prototype:1 date:1 systems:3 dots:4 field:1 generating:1 aj:1 corresponding:6 eduardo:1 sufficient:2 grating:1 gas:4 search:1 kpr:9 maps:2 observe:3 determination:5 tentative:2 last:5 careful:2 former:1 present:15 case:13 discarded:1 cassegrain:1 hall:1 rueda:1 unlike:1 solid:5 reliable:1 eclipsed:2 value:43 alter:1 will:24 near:18 behavior:7 error:1 mwd:1 eclipses:2 anchor:1 procedure:1 london:1 resolved:1 detailed:1 changed:1 mexico:1 fill:1 formulation:1 non:1 surface:2 ii:1 middle:3 itself:3 vx:1 stover:4 ephemeris:6 paschen:1 costero:1 increased:1 orbital:52 binary:16 different:9 recover:2 inc:1 author:2 tomograms:1 suggest:2 make:2 2πg:2 cross:5 guadalajara:2 clearly:1 reconstructed:3 complex:3 coadding:1 bands:2 units:1 limitation:1 several:6 solution:14 evidence:3 difficult:3 independent:1 calculation:1 used:23 peaks:18 closest:1 eccentric:1 blue:9 upon:1 effect:4 kopal:2 companion:4 uses:2 purpose:1 hβ:2 recent:2 morales:1 early:1 lower:5 task:1 center:9 analyzing:1 fully:1 equating:1 changes:2 variety:1 well:12 analysis:7 finds:4 thought:1 edge:2 residuals:3 components:7 simulated:1 ccd:2 model:2 binaries:4 arising:7 rout:2 subtraction:1 proposed:2 object:5 percent:5 accurate:2 obtain:13 hjd:8 shape:1 harrison:2 years:1 useful:3 multiples:1 previous:5 blow:3 sampled:2 like:6 preprint:1 ephemerides:2 distorted:1 extracted:1 absorption:14 conclude:3 appropriately:1 fitting:5 param:1 nacional:2 apjs:1 simple:1 add:1 tio:10 conacyt:1 location:3 hind:2 illumination:1 match:1 varying:1 real:5 acta:5 tests:1 asymptotically:1 around:16 ample:2 read:2 narrower:1 showing:1 sussex:1 disagreement:2 possible:6 unequivocally:1 possibly:1 increases:2 unseen:1 nor:1 distortion:5 using:25 postal:1 wings:11 prominent:2 apj:13 necessary:1 helpful:1 semi:20 follows:1 signal:5 velocities:25 shocks:1 deviate:1 facing:1 flux:7 yields:1 either:4 night:1 become:3 works:2 essential:1 towards:3 depend:2 mathematical:1 poor:3 www:1 because:2 methods:8 classical:2 smoothly:1 rms:5 plausible:1 sparks:1 some:1 back:3 self:1 scenarios:1 oval:1 rin:2 spots:2 evaluated:3 observatories:1 oscillations:1 andez:1 another:2 provided:2 scale:1 dimensions:1 lead:1 bottom:3 detecting:1 broad:4 avoid:3 measurements:16 subclass:1 contributing:1 depletion:3 kms:1 9w:1 provides:1 assuming:3 inclination:4 measuring:3 particular:6 artir:1 run:2 reaching:3 selecting:1 equivalent:1 l1:10 cheng:1 agreement:6 step:3 shifting:1 ratios:1 losing:1 proceeded:1 prepared:1 super:3 permitted:2 panel:3 comparison:2 about:16 carried:1 face:1 column:8 discussed:4 o:2 compatible:1 range:9 horne:6 positive:1 mean:10 slightly:5 obs:1 gamma:5 tomogram:3 therein:1 cambridge:4 additionally:2 presence:5 previously:1 communication:2 evaluate:1 within:1 definitely:1 implications:1 three:10 down:1 included:1 gehrels:2 references:2 castro:1 determine:4 wade:12 tabulated:1 significantly:1 uncertainties:1 span:1 additional:2 m4:4 astroscu:2 intrinsic:2 support:2 initial:6 spiral:3 long:9 dispersion:1 width:11 accordingly:1 quadratic:1 inner:11 stars:9 was:35 leading:3 unam:2 function:7 compensate:1 head:8 complete:2 form:3 hr:1 criteria:4 but:7 allan:1 astro:3 hemisphere:3 properly:2 quiescent:1 gain:1 mnras:9 line:40 kraft:7 true:7 themselves:2 partially:1 absent:3 made:6 largest:1 slope:5 sinusoids:1 gravitational:3 uv:1 smooth:1 up:6 us:4 below:4 those:10 reflects:1 spectroscopy:3 problem:2 invoke:1 similar:7 average:2 clear:1 thirteen:2 strongly:3 his:4 phil:1 intersects:1 worthwhile:1 defined:1 stronger:2 abstract:1 contribute:2 package:1 balmer:3 single:7 ar:1 right:1 periods:2 file:1 av:1 tomography:8 longitudes:1 apartado:1 check:1 physical:2 montes:2 determinations:2 compared:7 ideally:1 dotted:1 no:11 na:10 nai:7 when:10 detail:1 disparities:1 application:1 other:13 details:1 papers:1 test:9 wing:2 interpretations:1 deviation:2 invoked:1 star:42 handicap:1 variation:3 includes:1 deriving:1 chance:1 important:3 peak:12 coverage:5 variable:8 astronomy:1 structure:3 exposure:2 jones:4 bulk:1 independently:2 correlated:1 implies:1 auxiliary:2 algorithm:1 assume:2 starting:2 v5:1 interval:1 curve:12 orbit:2 together:2 original:4 depth:4 mass:14 fitted:3 time:21 understand:1 accreted:2 resolution:9 having:1 eclipsing:3 |
0704.1642.txt |@word monte:1 consider:1 similarity:1 neigh:1 results:8 leads:4 controversial:1 contributions:1 calculate:2 zone:6 marcos:1 technique:1 finally:1 does:1 contours:1 case:5 supported:1 amplitudes:4 nearestneighbor:1 very:4 wave:15 figs:1 rm:2 bryant:2 tri:1 entire:1 hamiltonian:5 ref:4 anisotropy:4 occurs:2 large:1 unrelated:1 damle:1 small:2 computation:2 trebst:1 consistent:1 estimates:2 zero:4 further:2 qmc:7 estimated:2 odd:1 approached:2 even:1 established:1 what:1 sheng:1 section:1 while:1 cell:2 3n:2 goes:2 new:1 increasing:2 method:1 contrast:1 troyer:6 condensed:1 full:1 simultaneously:2 degree:1 exchange:1 midpoint:3 here:5 perpendicular:1 bj:1 others:1 directions:2 path:1 along:6 obtained:7 sjx:3 sjy:3 study:5 studied:2 starykh:1 characterizing:1 published:1 fourier:1 studies:3 plotted:1 uniquely:1 useful:2 extrapolations:1 apr:1 addressed:1 total:4 unit:2 plot:1 use:3 usa:1 remains:1 auerbach:1 hilbert:2 comparing:1 melko:1 doubling:1 type:3 more:3 flat:6 s0z:1 abanov:1 known:1 iii:2 rotons:1 must:1 states:17 grant:1 science:2 zhao:1 values:7 following:2 closing:2 example:2 numbers:1 nearest:7 give:6 calculation:1 involve:1 boninsegni:2 minimum:4 performed:3 sharp:6 provide:2 siz:3 siy:3 six:3 regions:3 maps:2 pure:2 extensions:1 coleman:1 parameter:2 play:1 b74:1 mat:1 plane:2 data:9 fm:4 types:1 realized:1 short:1 natural:1 effective:2 maybe:5 spectra:23 lines:4 summing:1 st:2 extrapolation:2 so:3 subsequently:1 2jz:2 order:12 developed:1 over:1 insight:2 years:1 paper:2 including:2 platzman:1 existence:1 cold:1 excitations:2 before:3 supersolid:10 interesting:1 boson:5 writing:1 forms:1 absence:1 tyler:1 microscopic:2 systems:2 clusters:3 into:2 versus:1 outlined:1 fig:15 break:1 half:5 now:1 hall:1 term:1 finite:1 prokof:1 university:3 drop:3 filling:5 chandra:1 mode:1 qx:8 found:5 betts:1 goldstone:3 el:1 differential:1 directly:1 series:25 energy:8 hard:8 related:2 operator:1 extended:1 static:7 measurement:2 quantum:4 our:9 ev:1 out:1 shown:4 driving:1 space:3 restricted:1 furthermore:1 since:4 rev:19 research:1 λh1:1 size:1 issue:1 integrated:1 shows:5 foundation:1 theory:3 r15:1 discontinuity:2 divergence:2 standard:1 completely:2 california:2 estimate:3 hand:1 e0:6 interaction:1 language:1 chubukov:1 transition:13 hamer:4 raleigh:1 davis:2 onto:2 first:9 twodimensional:1 features:4 symmetry:4 martin:1 number:1 reaches:1 xy:10 done:1 another:2 2a1:1 reached:1 precisely:1 engineer:1 given:1 perturbation:2 introduction:1 leading:1 system:4 listed:4 calculations:3 realization:1 exponents:2 gives:2 collapse:2 centered:1 accurately:1 part:1 believe:1 than:1 coefficients:11 distance:1 showed:1 second:2 submitted:1 ranging:1 matter:3 determined:1 str:1 arun:1 providing:1 powers:1 spectrum:1 correspond:1 substantial:1 need:1 hexagonal:1 linked:3 carlo:1 latter:1 maximum:5 onset:1 heff:2 high:1 dispersionless:1 superfluids:1 singh:7 roton:21 heisenberg:11 000000e:13 mˆ:2 dissertation:1 any:3 rigol:1 oitmaa:3 involving:1 significant:1 phase:8 deviations:1 calculated:4 face:1 feynman:3 points:7 mechanical:1 dos:5 physics:2 fact:1 sector:1 larkin:1 stefan:2 show:10 unfrustrated:1 find:3 ground:6 impact:1 access:1 knowledge:1 parameters:2 state:7 should:5 only:2 factor:11 reminiscent:1 equilibrium:1 get:2 df:1 antiferromagnetic:14 cannot:1 brillouin:4 dx:1 competing:1 lattices:4 respectively:1 qy:8 frustrated:2 arxiv:1 expansions:4 doubled:1 summary:1 qb:1 mapped:2 through:1 peak:7 ql:2 bars:6 set:2 national:1 2c:1 brinkman:1 flip:1 in22:1 see:3 discussions:1 close:2 limiting:1 murthy:1 phases:3 interacting:1 superfluid:6 sites:3 enough:1 unable:2 various:7 between:1 boundary:1 approach:1 greatful:1 tically:1 accord:1 jz:52 nature:4 restricting:1 weak:1 however:3 vanishing:2 both:2 cos:10 many:2 conclusions:1 equal:1 energies:2 dated:1 faces:3 experimental:2 minima:16 point:11 color:5 ca:1 each:2 corresponds:3 nˆ:2 cr:18 wavevector:8 basis:1 addition:1 due:1 been:7 distinguishing:2 interest:5 expected:1 ph:1 define:1 sjz:3 direction:3 monien:1 observable:1 xxz:15 excite:1 gap:11 bulk:3 wavevectors:2 hardcore:1 careful:1 spin:18 dmr:1 present:2 applied:1 unlike:2 pacs:1 value:5 excited:1 will:2 near:6 compactness:4 behavior:2 error:6 bor:1 procedure:1 rajiv:2 girvin:1 vi:1 thus:2 site:3 iv:2 ii:2 cluster:2 ik:1 itself:1 cond:2 sits:1 helium:1 conserve:1 around:4 arovas:1 different:1 develop:1 considerable:1 propagation:1 perform:2 suggest:5 clearly:2 unity:1 diagonalize:1 largest:2 units:1 several:4 zhitomirsky:1 development:6 used:6 peaks:3 ni:2 upon:2 possible:2 sandvik:1 kim:1 macdonald:1 expand:2 recent:2 scaling:1 weakly:4 modes:3 hopping:2 well:4 analysis:4 materials:1 comes:1 model:33 wessel:9 magnon:4 lin:1 λr:1 gelfand:2 less:1 accurate:2 obtain:3 rest:1 ideas:1 identify:1 atomic:1 eigenstates:1 adv:1 note:2 burkov:1 density:16 had:1 signals:1 lattice:33 setting:1 lett:10 transformation:2 momentum:1 identical:1 antiferromagnets:3 increased:4 online:5 february:1 increases:2 press:1 using:3 emergence:2 particle:1 collective:2 velocities:4 continue:1 indication:6 either:1 arbitrary:1 become:1 methods:3 creation:1 some:1 begin:1 experiments:1 choosing:1 table:6 balents:1 huse:1 nonzero:4 pronounced:1 broad:1 per:2 critical:2 provides:1 gapless:10 core:8 power:1 equivalent:2 spinwave:3 bi:2 expansion:10 properties:4 comparison:2 vishwanath:1 ferromagnetic:3 o:4 distinct:1 range:1 repulsion:10 neighbor:6 srz:1 slightly:2 block:3 op:1 homogeneous:1 cambridge:2 paramekanti:2 h0:5 h1:6 trated:1 square:13 determine:2 elementary:1 bosonic:1 schrodinger:1 additional:1 assumed:1 there:11 gases:1 dispersion:15 spread:6 anderson:1 much:1 bosons:5 was:2 flynn:1 function:1 complete:4 form:4 hs:1 triangular:24 but:2 hb:1 line:2 highest:1 true:1 collapses:2 he:1 made:1 characteristic:1 up:7 us:2 antiferromagnet:2 below:1 limit:1 fluctuations:1 clear:1 strongly:1 associated:1 conserves:1 defined:1 describe:1 chan:1 single:1 constructed:1 again:1 nj:1 dotted:2 no:1 when:3 vanishes:2 acknowledgments:1 other:4 role:1 chernyshev:1 department:1 zheng:6 excitation:15 models:3 sqr:1 polynomials:1 a1:1 develops:5 ising:4 velocity:6 structure:12 independently:1 correlated:1 implies:2 coupling:7 perturbatively:1 factors:1 time:1 once:1 |
0704.1643.txt |@word aln:3 chebyshev:6 llx:1 partial:3 consider:14 informally:1 results:8 interpret:1 scalar:1 proposition:1 generalize:2 lln:1 edu:1 consists:1 gn:1 denotes:2 gj:2 gi:2 reynaud:1 compact:1 c0i:1 c0:1 depend:1 deterministic:3 tp:1 tail:8 those:1 under:3 stochastic:2 worth:1 norm:13 ingredient:1 applied:6 supported:2 worse:1 g1:1 zhang:1 far:2 implicitly:1 misunderstanding:1 geometrical:1 rl:2 corollary:22 difference:1 exact:1 condition:11 partitions:1 four:1 proves:1 exponential:6 presented:5 bn:6 suffices:2 ri:1 large:13 solved:1 k1i:1 independence:1 mentary:1 small:1 markov:1 ele:1 degeneracy:1 prevent:1 zn:2 smaller:2 says:2 occurrence:1 zj:5 vitale:1 α2i:2 consistent:1 estimates:8 measurable:8 split:1 matrices:1 integrability:7 further:3 canonical:21 even:1 aim:1 what:2 zinn:6 plays:1 witnessed:1 d2:3 section:4 expressed:2 δx2:1 version:2 above:19 sup:50 obvious:3 consisting:1 loglog:9 satisfy:1 multivariate:1 degree:2 αij:10 respectively:4 component:1 answers:1 understanding:1 refinement:1 degeneration:1 test:2 zygmund:3 investigating:1 ηd:9 along:1 strong:2 equations:1 z1:2 change:1 obtained:1 remark:10 institute:2 involved:2 study:1 vectors:1 allows:4 oleszkiewicz:1 suppress:1 products:2 usually:1 proof:41 adamczak:4 point:1 f0:17 equivalence:1 useful:1 family:2 apr:1 lengthen:1 ek:1 replace:3 limn:1 summation:1 apply:5 use:10 asymptotic:2 would:1 prove:9 recalling:1 inductive:1 stated:1 mimuw:1 next:5 zid:6 therefore:12 taken:1 means:1 type:1 more:6 abusing:1 logα:1 afford:1 iu:4 operators:2 apparent:1 iid:16 particular:5 known:1 cases:1 iii:1 must:1 logarithm:5 high:2 springer:1 valued:19 recall:6 pε:2 reads:1 remain:1 values:11 following:11 dec:38 specialized:1 example:2 decoupled:10 deg:48 control:1 10n:2 weaker:1 give:5 process:1 convergent:3 dependence:1 sample:1 fj2:3 assumptions:2 numbers:3 degenerate:4 sense:1 sharp:3 keep:2 conversely:4 jensen:2 absolute:1 needs:2 lemma:72 get:8 write:11 occasionally:1 paley:3 instead:6 product:7 tdeg:1 may:5 max:22 after:1 different:1 applications:4 abuse:1 fi:31 fj:43 law:9 probab:13 constants:6 diagonal:2 natural:3 third:3 lemmas:1 linear:10 lines:1 element:1 switch:1 so:10 allow:1 definitions:3 order:8 xj:10 holds:15 words:1 indeed:4 over:1 mainly:1 satisfied:4 interpreted:1 paper:1 houdr:1 banach:4 satisfies:5 still:2 vari:2 its:2 before:8 ld:84 derive:1 la:3 interesting:1 fix:4 suboptimal:1 li:10 better:1 permanent:1 lr:2 lp:3 clt:2 main:3 decades:1 h0:4 ally:1 xj0:3 correspondence:1 them:3 yj:18 greater:1 was:4 integral:1 inductively:1 impan:1 primary:1 a0n:1 they:3 1b:1 multiindices:1 now:19 nor:1 suppose:4 fi2:5 easily:3 february:1 several:3 2r:4 intuitively:1 always:1 university:1 concave:1 via:1 2d:35 merge:1 iff:1 inequality:35 l2:21 each:9 2l:4 found:3 2n:105 1an:5 side:9 characterized:1 2k:15 domain:1 square:3 ei:101 eh:14 formulate:3 ej:19 ee:1 series:9 eg:4 ef:6 idea:1 related:1 constitute:1 radoslaw:1 logd:62 used:4 ex:1 ez:1 our:5 happen:1 logk:2 es:4 out:1 matrix:5 ejj:2 space:21 since:19 crucial:1 chaos:2 research:2 weighted:1 adapt:1 am:3 denoted:1 formula:4 gov:1 induction:4 correct:1 math:3 shows:3 theory:1 given:12 quite:5 aforesaid:1 completely:3 ian:1 complicated:3 nid:1 aeh:1 estimate:10 e1:2 ηd2:5 definition:26 geometry:1 omit:1 diminished:1 nonnegative:7 counterpart:1 turn:2 forms:1 hence:6 βn:1 think:1 βj:4 first:11 separable:3 xk:11 xi:147 xn:2 probability:8 variables:16 number:1 xd:13 restrict:2 randomized:4 least:3 directly:5 xs:3 array:7 precisely:2 open:1 appl:1 h2n:1 ial:3 differ:1 necessarily:1 xid:17 πd:12 similarly:3 introduction:2 πk:1 xij:9 xik:1 construct:1 indicate:1 1c:7 assumption:3 observations:1 statement:4 convention:5 gid:1 realvalued:1 speaking:1 gives:9 relies:1 progr:3 academy:1 tool:1 proving:1 var:2 part:5 j2:1 norms:8 x1:35 than:3 determines:1 22nd:12 sections:1 distinguishes:1 namely:1 submitted:1 limiting:2 xi1:2 determined:1 pairwise:6 were:1 powers:1 projections:1 generality:1 anl:3 explicit:2 ann:9 argument:4 generalization:2 already:3 disjoint:6 seen:2 seem:1 xjj:8 any:14 warsaw:3 depending:7 lil:27 lim:12 latter:2 able:2 ideas:1 montgomery:2 note:3 instance:1 efj:1 maxi:2 εi:7 take:2 analogy:1 sufficiency:5 finding:1 maxc:3 degenerated:1 arcones:1 formulas:1 begin:1 sure:1 techniques:1 logarithmically:1 simplify:2 bouret:1 letter:1 2e:2 class:1 tensor:5 special:1 considered:2 kj:4 ki:5 partition:7 stronger:1 kn:1 countable:2 reflecting:1 exp:19 quadratic:1 lpd:4 sum:4 fact:7 quantity:1 precise:2 hi2:2 phenomenon:1 show:8 random:25 γni:6 12p:2 x2:18 spaces:16 inconsistent:1 keywords:1 uniform:1 trivial:2 find:1 δx1:1 finally:1 ratio:1 true:1 basel:2 state:1 negligible:1 should:1 here:1 moments:4 only:17 ambiguity:1 equipped:1 integrable:5 truncation:1 probabilities:2 do:1 nl2:1 triangle:1 notation:15 mein:2 dependent:1 de:4 expectation:1 yielded:1 cannot:1 aforementioned:1 new:2 applying:2 hij:10 dr:2 geometric:1 rademacher:7 secondary:1 well:1 processes:3 approach:1 arxiv:1 ek2:1 common:2 nα:1 implication:1 fixed:6 explanations:1 valid:2 remains:2 αik:6 kernel:15 set:21 exists:5 j0:11 j1:17 ables:2 transferred:2 εi1:2 see:12 decided:1 result:3 subject:1 αp:1 satisfying:1 inequalities:17 position:1 ways:1 subsequent:2 functionals:4 symmetric:5 written:3 identification:2 between:1 αi:11 progress:1 subscript:1 conditions:14 email:2 αn:5 notice:14 various:1 terms:3 keh:1 εik:6 jp:1 however:7 jl:1 jm:1 york:1 jo:2 hypothesis:1 ji:12 jj:28 jk:25 distinguish:1 article:3 amer:1 problem:3 σk:3 both:1 σi:1 last:5 rubin:1 equal:3 σd:18 context:2 variance:1 contribution:1 estimation:2 whole:1 ll:12 maxima:2 σjj:1 schmidt:1 khintchine:1 cn:3 cm:6 conclude:1 simple:3 smith:2 corresponds:3 cd:27 dimensional:6 rafal:1 simply:1 coordinates:2 sequences:3 respect:6 throughout:1 studia:1 second:7 pr:1 kernels:12 pp:11 xα:1 described:2 decoupling:3 basis:1 associativity:1 py:10 due:1 been:4 appears:1 defined:5 much:1 treat:2 interest:1 basic:1 pj:1 pi:24 abstract:1 pl:2 define:15 adapting:1 direction:1 aj:8 corresponding:5 quantities:1 sufficient:9 fij:8 observe:1 imax:2 bull:1 c2:10 c1:2 general:5 spirit:1 present:3 statist:2 case:25 k2:5 exception:1 p1:3 subsets:2 ǫi:6 empirical:3 value:6 will:47 technical:3 ar:5 replaced:1 eid:4 aij:9 aid:14 property:4 boucheron:1 k1:1 bousquet:1 almost:1 ip:2 thus:19 non:1 clearly:1 ii:63 need:11 ik:32 ij:27 ia:2 supremum:1 ib:4 id:110 qd:2 containing:1 develop:1 grant:2 yn:1 shorten:1 same:8 check:1 arguments:4 proved:2 finite:2 consequence:1 difficult:1 development:1 independent:15 finish:3 imply:3 again:1 i1:1 boosted:1 i2:2 counterparts:1 hand:11 massart:1 moment:13 birkhauser:3 introduce:7 necessity:5 distributivity:1 mentioning:1 poland:2 min:9 xji:4 analysis:3 multimatrix:2 without:3 comes:2 components:1 sets:8 1ck:13 organization:1 stating:1 left:2 λs:1 ck:3 just:11 boundedness:1 being:2 when:2 resp:4 obtain:6 underlying:1 cease:1 using:7 facts:1 polish:2 previous:2 rapid:1 classification:1 sciences:1 regarded:1 characterization:1 guaranteed:1 except:1 theoret:1 sometimes:1 boston:1 bni:8 other:2 combine:1 lett:1 easy:5 theorem:24 remaining:1 real:16 alternatively:1 sums:8 term:1 42n:1 indexed:4 usual:1 εd:3 integer:1 ams:1 2nd:42 moreover:10 loss:2 modifications:2 ns:2 necessary:10 like:1 identifying:1 follows:18 fubini:2 separately:1 yields:2 schwarz:3 arbitrary:8 works:1 therein:1 βni:5 because:1 functional:6 classical:6 sequence:5 conditional:1 some:25 approximations:1 pαp:3 growth:3 examples:1 statistic:7 proper:2 ijj:3 proofs:3 ad:5 obviously:1 lead:1 hypercontractivity:3 nonempty:5 avoid:2 integration:1 ak:3 id1:1 conditionally:2 pen:3 does:3 summand:2 steps:1 straightforward:1 either:2 considering:1 power:1 equivalent:3 l1:1 lugosi:1 step:12 although:3 2m:1 hilbert:24 injective:1 proceed:3 integers:1 about:1 central:1 extension:1 most:1 completing:1 theorems:2 meaning:3 o:4 assertion:1 convenient:2 a2:4 stand:1 ndp:1 mean:1 slightly:3 22n:3 soc:1 22l:11 statements:3 h2:6 into:2 h1:6 obtaining:3 bound:3 three:2 hypercontractive:1 right:8 references:1 determine:2 operator:3 actually:1 sufficiently:3 statistics:39 log:34 gip:1 suffice:1 there:11 question:1 tails:2 borel:1 inner:1 way:2 ed:7 infinitedimensional:1 gin:6 gik:3 goodman:1 function:9 complete:3 form:3 enough:6 hr:4 hs:2 sequel:3 denoting:4 but:6 gaussian:1 hj:4 hk:5 hi:69 hn:81 hm:1 convergence:4 bochner:1 hf:1 partially:2 xdec:105 versions:1 hoeffding:1 bounds:1 us:36 below:2 limit:3 empty:1 iterated:5 distribution:3 similar:1 called:1 supf:1 pik:2 constant:7 pim:1 suprema:1 25k:1 ai:40 cki:3 universal:2 combining:5 pid:18 gluskin:1 proven:5 denote:14 latala:8 exist:1 ind:6 a1n:1 proceeds:1 ni:2 functions:13 ijk:1 nl:10 no:7 ends:1 whereas:4 nd:21 2dn:16 field:1 setting:2 role:1 details:1 becomes:1 2dm:1 mathematics:2 er:2 concerning:1 1bn:1 picture:1 elements:1 βj2:2 problems:2 in2:1 cotype:1 a0:1 generated:1 important:2 bounded:10 additionally:1 variable:10 sides:1 structure:1 eji:1 implies:9 assume:7 ta:1 required:1 together:5 implied:1 4k:1 n0:3 n1:1 |
0704.1644.txt |@word neighbors:2 consider:4 chain:1 magnetic:2 splitting:1 bhatt:1 leads:1 eds:1 types:1 gm:1 localized:1 layers:4 dimensionality:1 terms:4 technique:1 corrections:1 opportunities:1 ıa:1 program:1 tj:2 tf:1 must:1 tc:7 divergent:1 labels:2 amplitudes:1 orthogonal:1 tends:1 seemingly:1 wave:4 difference:1 exact:2 condition:2 four:2 retaining:1 hamiltonian:4 positions:1 anisotropy:3 developing:1 proposals:1 solution:1 d2:1 large:4 discrete:1 vector:3 aachen:2 setup:2 dimer:8 dilute:1 estimates:1 direct:2 sign:2 approximation:1 zero:1 ehrenreich:1 design:1 correlator:4 further:1 dynamics:1 estimated:2 blue:1 3r:1 sum:2 axes:1 expressed:1 current:17 version:2 above:2 flowing:1 new:2 net:2 occupation:1 kolezhuk:2 3d:1 girvin:1 exchange:10 respectively:4 component:2 ock:2 here:1 atoms:2 met:1 magnetism:1 cos2:2 making:1 directions:4 based:1 along:12 strong:2 transformation:1 z2:1 ukraine:1 institute:1 shift:1 study:2 vectors:3 allows:1 resulting:1 action:2 studies:1 york:1 halperin:2 scales:2 sincerely:1 sizeable:1 clockwise:1 establish:1 use:1 contains:1 next:1 classically:2 approach:1 type:2 separated:1 becomes:3 operators:1 regal:1 controlling:1 thouless:2 fermionic:5 pseudospin:2 r2:1 quartic:2 equation:1 averaged:1 flight:3 values:1 mr:2 following:1 cond:1 modifies:1 spontaneous:1 initial:2 control:1 nearest:8 yoshioka:1 4t2:1 neglected:1 purposes:1 states:12 effectively:1 numbers:2 degenerate:1 made:1 axis:10 gcc:1 goal:1 provide:1 s2:9 s1:9 means:1 ultracold:1 arrangement:1 how:1 varies:1 instead:1 parameter:3 sin:1 mueller:1 mat:1 fx:1 max:1 ladder:1 gonzalo:1 different:1 modugno:1 diagram:2 cyanide:1 plane:8 physik:2 fk:1 parallel:1 constants:4 sz:2 realized:5 hannover:2 effective:3 wins:1 counter:2 lines:1 deutsche:1 su:2 st:1 aβ:1 so:9 correlation:1 inplane:1 nersesyan:1 order:14 reversal:4 2sj:1 hierarchy:1 over:5 years:1 thermal:2 experiments:1 london:1 looks:1 dw:5 existence:1 cold:1 its:1 phillips:1 rapidly:1 thank:1 maps:1 ln:2 interesting:1 vicinity:1 boson:1 fruitful:1 detected:1 degrees:1 systems:7 insulator:1 decades:1 eur:1 acknowledgments:1 good:1 propose:1 greiner:2 introduce:1 band:1 interdimer:1 half:2 rotation:1 now:1 fields:1 2t:3 2u:1 term:2 finite:2 fully:1 university:1 arrows:1 identified:2 academy:1 2d:5 2e:1 filling:2 each:1 found:1 universit:1 2i:1 bond:1 square:2 weight:1 energy:1 related:3 f0:2 obtains:4 sketched:1 quantum:3 our:1 transitions:2 eq:1 special:1 er:1 emerges:1 shown:5 opened:1 rr:7 space:1 rwth:1 since:2 rev:25 denotes:2 particles:1 may:2 bragg:1 traversed:1 get:1 induced:2 hcn:1 red:1 shows:1 achievements:1 doppler:1 theory:3 barrier:4 interactions:5 possibility:1 small:2 5z:1 imaging:1 demler:3 estimate:2 bilayer:17 pairs:1 interaction:8 employing:1 chiral:2 language:2 r3:1 starts:1 could:2 transition:8 times:1 v11:2 length:1 isotropic:2 u4:2 barriers:1 undergo:1 onto:1 first:1 exotic:2 staggered:8 symmetry:8 periodically:1 ez:4 number:1 theoretische:2 restrict:1 enlarged:1 xy:2 gases:3 another:3 reached:2 ring:7 loaded:1 10t2:1 given:2 perturbation:2 temperature:7 introduction:1 leading:1 system:5 approximately:1 response:1 needed:1 fermions:5 realization:1 ohberg:1 shifted:1 plaquette:1 relative:3 sy:2 transverse:3 optical:7 spacings:1 than:1 wide:1 polarized:2 liquid:1 favors:1 depends:2 superfluid:1 bilayers:1 treated:1 exhibit:2 seitz:1 acknowledged:1 generalization:1 dictate:1 hoppings:2 any:2 viewed:1 relatively:1 strength:3 angle:2 built:1 min:1 polarization:2 sciences:1 potential:5 take:1 hs:1 rediscovered:1 heisenberg:3 towards:1 opposite:1 twodimensional:1 singlet:1 most:2 germany:2 but:1 letter:1 phase:23 class:2 cc:12 duan:1 considered:2 later:1 flow:1 physica:2 bipartite:1 diagonals:1 schulz:1 kz:2 ky:1 kx:1 physics:3 fact:1 superfluidity:1 thomas:1 signatures:3 intensity:1 show:1 v12:3 raithel:1 nσ:2 sites:2 tkt:2 gauge:1 turnbull:1 trivial:1 d0:2 ground:3 symmetric:1 aσ:3 ratio:1 just:1 parameters:3 only:6 molecules:5 factor:1 passing:1 rice:2 local:1 achieve:1 continuity:1 plaquettes:4 distance:1 dependent:1 beams:2 simplest:1 ko:1 juzeliunas:1 ones:2 nearly:1 closely:1 competing:1 lattices:1 takahashi:1 liu:1 transversal:1 continuum:2 qy:1 qx:1 arxiv:1 dips:4 summary:1 qb:2 2πh:1 fixed:1 2πk:1 set:2 achieved:2 j4:16 national:1 lett:16 up:2 detection:1 marston:1 see:4 result:1 enhanced:1 discussions:1 close:1 ur:2 analog:1 subject:1 phases:3 detect:1 jz:4 pattern:2 away:1 circulating:10 dipole:3 artificial:1 yet:1 boundaries:1 favor:1 state:13 µk:2 between:3 invariant:1 conditions:1 triplet:1 recently:1 vertical:4 nature:4 jp:1 however:1 jr:3 jl:1 jm:1 wu:3 jd:1 bose:1 distribution:1 affleck:1 cos:8 gratefully:1 taking:2 density:5 equal:1 jin:1 contribution:1 expression:1 experimental:3 ansatz:1 ohl:1 relevant:1 intralayer:3 point:6 simple:1 unitary:1 corresponds:5 capponi:1 dimensional:2 represented:1 path:1 cr:1 ensures:1 described:3 tuning:1 basis:1 bourdel:1 create:1 chirality:3 due:2 mark:1 detuning:1 belongs:1 change:1 azimuthal:1 anisotropic:1 sachdev:2 fig:10 v22:1 v21:1 controlled:2 santos:1 gas:1 gap:1 forschungsgemeinschaft:1 coherent:2 observe:1 angles:2 stems:1 spin:10 those:2 moritz:1 laser:3 splits:1 reciprocal:1 pacs:1 solid:1 leave:1 value:2 spontaneously:5 will:2 euclidean:1 while:4 iχ:2 cannot:1 fm:2 leaves:1 layer:7 larger:1 coupled:2 site:2 ivj:1 mott:5 spinful:1 zhang:1 fermion:1 currents:4 orbital:2 containing:1 hubbard:2 twofold:1 indistinguishable:1 same:5 orders:1 schematic:1 universality:2 units:1 several:1 difficult:1 extended:1 olling:1 numerical:1 moment:4 moving:1 changing:1 stack:1 recent:2 weakly:1 hopping:4 changes:1 roughly:1 analysis:1 academic:1 contact:1 comes:1 coordinate:1 model:12 wessel:1 magnon:1 usual:1 magnetization:1 proposed:1 moments:1 observed:1 fingerprint:1 atomic:2 uller:1 coordination:1 ministry:1 adding:1 note:1 zoller:1 field:9 schollw:2 help:2 except:2 macdonald:1 lattice:19 other:2 attractive:1 easy:2 unprecedented:1 momentum:1 real:1 2j4:1 dimers:4 secondorder:1 breaks:1 possibly:1 doyle:1 makes:1 canted:1 press:2 using:2 vertically:1 necessary:1 particle:5 follows:1 translates:2 eel:1 yields:3 either:1 arbitrary:1 become:1 inter:4 reduced:1 spins:3 oferle:1 classical:1 some:1 b1:1 debye:1 respect:1 images:1 ourselves:1 eiα:1 describing:2 sufficiently:1 per:3 critical:3 dipoles:1 assuming:1 propagating:1 chains:1 measuring:1 noise:3 vekua:1 equivalent:1 oscillating:1 perpendicular:5 ez2:2 broken:4 2m:1 imaginary:1 hilbert:1 perspectives:1 ferromagnetic:1 altman:1 coexist:1 freedom:1 discussed:2 mutually:1 range:3 uchler:2 repulsion:3 neighbor:6 srz:2 srx:5 sry:3 bloch:1 cambridge:1 into:6 within:2 integral:1 garc:1 h4:1 three:2 down:1 pair:1 paradigmatic:1 proportional:2 bosonic:8 institut:2 additional:3 assumed:1 support:1 there:2 long:2 u2:3 bosons:1 low:1 way:3 was:1 treat:1 function:3 form:4 phenomena:1 adjusting:1 jul:1 recoil:1 hc:7 line:3 rolston:1 vσσ:2 arranged:3 lukin:3 antiferromagnetic:2 inside:1 maximum:1 antiferromagnet:1 below:1 fermi:4 spectroscopy:1 uj:1 fluctuations:1 problem:1 similar:1 strongly:1 ordered:1 b2:1 af:11 certain:1 describe:2 direction:6 denote:1 engineering:1 exist:1 corresponding:3 education:1 intra:2 jaksch:2 regime:2 nm:1 no:1 when:3 vanishes:3 ny:2 setting:1 sorensen:1 dipolar:3 nq:1 polar:5 models:5 includes:1 a1:3 generated:1 a2:4 ising:2 gets:1 kiev:1 ago:1 correlated:1 implies:1 longer:1 fluorescence:1 d20:2 dτ:1 having:1 mass:1 time:6 n1:1 n2:1 kosterlitz:2 original:3 |
0704.1645.txt |@word barone:3 partial:1 consider:3 magnetic:18 results:2 fapesp:1 leads:3 per:4 edu:1 consists:1 gn:3 eτ:3 whose:2 depend:1 calculate:2 concerned:2 tr:1 violation:1 finally:3 under:10 anharmonic:1 worth:1 indicating:1 divergent:1 applied:3 hibbs:1 straightforward:5 far:2 springer:2 wave:4 electron:2 sonnenschein:1 summarized:1 2rt:2 exact:2 condition:5 hamiltonian:10 notes:3 list:1 solution:4 damped:2 solved:3 convenience:2 vector:1 math:1 indices:1 relation:1 degeneracy:5 ferrando:1 fµν:1 force:1 hord:1 ten:1 sin2:7 matrices:2 elegant:2 second:1 mckeon:1 chen:1 substitute:2 canonical:3 even:2 what:1 appear:1 section:7 analogously:1 uniform:11 en:2 above:7 obvious:1 method:35 ihτ:2 3d:1 satisfy:2 edited:1 measurements:1 respectively:8 here:1 desired:3 2ωc:1 sinh:1 address:4 path:8 along:7 quark:1 equations:20 implicit:1 obtained:12 sending:2 instituto:1 adopt:1 published:2 action:6 decouple:1 appropriately:2 imω:7 via:1 followed:1 br:5 extra:2 apr:1 summations:1 explained:1 private:2 brought:2 apply:2 rarely:1 propagators:7 unit:4 use:3 charge:2 takes:5 would:2 e1:5 contains:1 pedagogical:3 next:3 a51:1 few:2 noting:1 therefore:1 m2:2 more:5 separated:2 introducing:2 operators:17 ital:1 odinger:2 unstable:1 particular:3 known:4 cases:1 iii:4 must:7 mg:1 chaichian:1 integrating:6 recall:1 equation:31 work:2 oscillator:15 crossed:2 carefully:1 following:8 example:4 dxj:4 compare:1 boschi:6 give:1 calculation:2 relativistic:15 organized:1 πj:8 autumn:1 lorentz:1 numbers:1 want:2 sense:1 simple:2 axis:1 tseng:1 regularization:1 end:2 goal:2 provide:1 discussion:1 means:6 enl:3 enlarge:1 csc:1 write:8 how:3 instead:3 ordinary:1 sin:56 simplicity:2 product:1 express:2 algebra:1 may:4 after:5 dx2:6 dx1:6 hence:2 levi:1 plane:8 law:5 constants:1 natural:1 caixa:2 πi:2 chern:1 su:1 element:2 green:8 sm:1 representation:1 gitman:2 integrand:2 order:13 superscript:1 help:1 developed:1 over:1 goncalves:1 mainly:1 years:1 course:3 paper:11 2v:1 statistical:1 mentioned:2 satisfies:1 still:1 its:1 before:7 fis:1 thank:3 dr:3 solving:5 writing:1 parts:2 systems:2 mω02:6 gavrilov:1 main:4 supersymmetry:1 non:9 janeiro:2 timeindependent:1 processes:1 finish:1 landau:7 interesting:1 now:4 2u:1 term:4 englert:1 2r:1 invariants:2 level:2 2x:1 identified:1 βωc:2 x21:1 l2:4 each:4 2l:1 found:2 x12:1 difficult:1 2i:4 mean:1 homogeneous:1 differential:8 financial:1 directly:1 chung:2 doing:1 there:1 energy:9 ea:4 used:15 eb:7 frequency:7 year:1 quantum:12 our:10 operation:1 extract:1 rt:23 shown:3 matrix:13 space:1 nuovo:1 since:7 rev:6 particles:4 com:1 reader:2 denoted:1 lecture:2 induced:2 evaluation:1 correct:1 rj:1 shows:1 theory:4 interactions:1 ısica:1 diagonal:1 free:6 quite:1 small:1 reason:1 que:1 york:1 besides:3 usual:3 beginning:2 e2:5 definition:1 rearrangements:1 derivation:1 r2:12 impose:1 motion:2 ordering:4 isotropic:1 δij:1 consequence:2 generalizations:1 first:9 xj:18 xk:11 already:4 mω:28 reobtained:1 malkin:2 omitted:2 variables:1 powerful:2 done:6 adopted:1 another:1 precisely:1 electronic:4 equating:1 given:9 checked:1 publication:1 introduction:1 goldberger:3 system:3 relations:1 their:2 attack:1 assumption:1 calculations:1 convention:1 be3:2 final:3 eigenvectors:1 πt:2 a34:1 brazilian:1 serve:1 part:1 differentiate:1 authors:1 x2:16 x3:11 x1:12 than:2 approximation:1 kind:2 kindly:2 showed:1 princeton:1 fundamental:1 cimento:1 see:1 submitted:2 1l:6 preparation:1 determined:3 yang:1 were:2 providing:1 treated:4 extracting:1 seminal:1 rewrite:2 spectrum:5 lin:1 violating:1 sen:3 need:2 constrained:1 clearly:2 complete:1 forced:1 genuine:1 lim:2 latter:2 able:1 mid:1 polarization:3 instance:2 potential:5 relies:1 xi:8 so:7 degenerated:2 heisenberg:14 rabello:1 added:1 electric:4 trace:2 shall:2 twodimensional:1 kao:1 algebraic:1 involving:2 remarks:2 extremely:1 class:1 commutation:1 fjk:6 kb:1 professor:2 later:1 dent:1 feynman:19 prepare:1 βen:1 principle:6 exp:23 mechanical:3 combinations:1 charged:13 attacking:1 fact:3 joining:1 show:4 nπ:1 timedependent:1 cnpq:1 iǫ:1 gauge:26 solutions:2 tacitly:1 keywords:1 substituting:6 d2:1 find:1 copy:1 knowledge:2 claude:1 commutators:2 should:1 bernard:1 only:3 explicitly:3 summarizing:1 integrate:2 poles:2 dξj:2 hope:1 do:1 his:3 notation:6 get:9 dependent:8 anyonic:1 de:4 straightforwardly:1 dx:1 new:1 dv:1 procedures:1 him:1 dp:1 regarding:1 heaviside:1 greens:1 fields:7 arxiv:1 eigenvalues:1 grav:1 acknowledgments:1 felipe:1 common:1 dodonov:2 fiorenza:2 movement:1 view:1 computed:2 reference:1 imposing:2 unpublished:1 respect:1 namely:6 decided:1 result:10 cyclotron:1 terms:6 correlators:1 brazil:2 ufrj:3 federal:2 pictures:1 review:2 d59:1 written:9 future:1 between:3 invariant:5 conditions:5 x22:2 multiplied:1 recently:1 complementary:1 marvin:1 transpose:2 however:1 agencies:1 hill:2 vanishing:2 jk:1 ωc:5 vento:1 faced:1 both:2 cos:29 radiatively:1 last:6 cot:6 taking:3 infinitely:2 spatial:1 presentations:1 propagation:1 connection:2 context:3 filho:5 expression:9 hτ:2 among:1 reconsidered:1 nonrelativistic:3 reasons:2 manko:2 harmonic:14 dimensional:8 anti:1 luis:1 ordered:4 indefinite:1 undergraduate:1 ct:2 transformations:1 simplification:1 three:5 been:7 strategy:1 int:3 pg:1 expected:1 ph:1 choose:5 hernandez:2 direction:4 aj:5 corresponding:10 itzykson:2 observe:3 external:4 c2:1 c0:10 present:3 case:5 extracted:1 pacs:1 straight:3 evaluated:1 will:4 cast:3 while:1 cui:2 aid:1 revisited:2 procedure:4 urrutia:4 simons:1 thus:2 them:2 iv:3 ii:4 rio:2 im:3 ie:12 mωr:2 etc:1 generic:3 same:9 unity:1 complex:1 quant:2 emphasize:1 big:1 finite:2 entitled:1 independent:5 literature:1 ng:1 bonus:1 hand:4 vaidya:2 moment:2 levels:4 purpose:5 student:1 infinite:1 changing:1 invariance:4 cr:8 gonzalez:1 identity:1 recent:2 mentioning:1 schr:2 reobtain:2 well:9 c63:1 know:1 antonio:1 hwang:1 solve:4 civita:1 convenient:2 firstly:1 position:4 jean:1 dimension:1 left:3 ny:1 less:1 being:4 mills:1 obtain:10 actions:1 reviewed:1 identify:1 atomic:1 summed:1 useful:1 graduate:1 previous:7 k3:7 density:1 point:2 had:2 weiss:1 straightline:3 valid:1 lett:4 easy:1 theorem:1 mod:1 transformation:8 momentum:6 bidimensional:3 iθ:1 easily:1 read:1 evaluate:1 gellmann:1 decomposed:1 iε:1 comparing:1 corresponds:1 arag:1 background:2 vacuum:4 using:18 postal:2 apart:1 fradkin:1 like:2 particle:9 identifying:1 follows:2 bps:1 steps:4 integrals:2 arbitrary:2 popular:1 simply:1 calculus:1 zuber:2 methods:3 classical:1 fresnel:1 some:6 back:3 γsl:5 examples:6 choosing:2 specified:2 proper:2 extended:1 2xj:1 proceeding:1 electromagnetic:6 avoid:1 though:5 novelty:1 integration:7 comments:2 does:1 assuming:1 yields:2 inserting:3 journal:1 agreement:1 expansion:1 step:4 substituted:1 although:3 2m:11 p32:3 πj2:2 properties:6 hadron:1 proceed:1 about:3 extension:2 mcgraw:2 am:1 discussed:1 dependence:2 ox:8 introduced:2 slightly:1 soc:1 presence:2 communication:1 into:14 integral:11 sachs:1 multiply:2 appropriate:2 right:4 determine:1 einstein:1 operator:5 qed:4 schrodinger:1 additional:1 ao:1 area:6 assumed:2 support:1 initial:3 rcr:1 start:2 appears:1 way:3 shvartsman:1 shovkovy:1 was:8 propagator:46 function:10 eaj:6 farina:8 form:14 but:3 anisotropic:1 repeated:1 related:1 line:9 he:1 compute:6 2πi:7 ωu:1 up:3 us:3 ωv:1 note:2 limit:1 sum:2 problem:8 define:1 called:3 eduardo:1 mechanics:6 partition:2 constant:12 computing:3 defined:6 combining:1 influence:3 textbook:1 general:1 dξ:12 tsamis:1 dπ:2 av:1 woodard:1 curl:2 ing:1 identities:2 universidade:2 inc:1 functions:4 compared:1 completeness:1 no:1 fixing:2 when:1 schwinger:33 field:25 other:1 papers:1 nr:1 theor:2 rederivation:1 weak:1 nice:2 picture:2 reconsider:2 calculating:1 superconductivity:1 students:2 symbol:3 problems:7 includes:1 commutator:2 ξk:3 allowing:1 suited:2 included:1 generalized:1 mω2:5 sides:4 structure:1 independently:1 implies:1 uncoupled:1 assume:1 dτ:16 required:1 curve:2 rule:1 mass:2 time:14 cpt:2 original:1 once:1 |
0704.1646.txt |@word neighbors:1 limited:1 partial:1 caused:1 rod:2 results:1 scattered:1 threaded:1 four:5 circuitry:1 edu:1 follow:1 amplified:1 contributions:1 unobstructed:1 increase:1 ionized:1 collisions:6 ecdl:4 segments:6 technique:3 contained:1 including:1 black:2 environment:1 charge:1 program:3 under:4 maryland:1 tb:6 concentrations:1 resources:1 ta:2 started:1 case:3 fax:1 probe:1 amplitudes:1 g2:1 g1:1 without:1 far:1 amplifier:3 continues:1 atoms:1 electron:3 stabilized:1 spacers:1 should:1 decide:1 mixing:1 affect:2 difference:1 nor:1 tagging:6 cool:2 pueblo:1 internally:1 level:3 transmission:1 proposals:1 gun:3 t1:1 large:5 detected:1 red:1 informative:1 small:3 gauge:2 guy:1 chemically:1 optics:5 setup:3 configurations:1 upper:3 encloses:1 hampel:1 tel:1 strickland:1 unpublished:1 htm:1 direct:1 approximation:1 rate:6 design:1 further:2 implemented:2 10v:6 davis:1 theory:1 blue:2 kinetic:3 trapping:12 generator:1 sum:2 lead:2 labeled:1 supplied:1 launch:1 access:1 seconds:4 experiment:3 thermocouple:1 collins:1 falling:1 consisting:2 filled:3 segmentation:1 full:2 integrated:1 heavily:1 respectively:2 component:1 here:8 s16:1 reported:1 mev:1 them:1 free:1 address:2 path:1 method:2 observing:2 denison:1 z2:1 dry:1 drops:1 daughter:1 dehmelt:1 spontaneous:1 study:1 larger:1 allows:4 completely:2 aliu:1 maxwellboltzmann:1 amount:3 resulting:1 loop:1 σi2:2 implement:1 boc:1 sci:2 plotted:1 appropriately:2 via:5 see:4 projection:1 f1:1 apr:1 explained:1 root:1 pd1:1 vac:1 cold:1 achievable:1 buildup:1 apply:1 neutrino:6 total:4 establish:1 cloud:3 use:2 feb:1 working:2 donation:1 tightly:1 properties:1 equipment:1 few:3 nucl:2 camera:1 kinematics:1 therefore:1 criteria:1 conley:1 scope:2 type:2 until:1 reflects:1 more:4 separated:2 turbo:4 optimizing:1 ejected:1 relevant:1 becomes:1 attenuates:1 stable:3 limitation:1 leonard:1 opposing:1 virtue:1 particular:1 central:2 cases:2 mounted:1 producing:2 must:1 md:1 account:1 endpoint:1 evolution:1 quantized:2 mb:5 mm:9 aspx:1 equation:5 work:2 det:1 rb:3 mall:1 assumptions:1 values:4 widths:1 following:1 equilibrium:1 septum:1 example:1 control:4 ions:31 transition:2 mackay:1 figure:1 ionizing:1 process:6 lock:7 grant:1 g5:1 accept:1 dependence:1 high:6 collision:5 minimum:3 numbers:2 point:2 6p1:4 simulation:9 species:3 simple:1 absolute:3 motion:2 respective:1 rays:1 shelving:1 sphere:1 provide:7 eni:1 s1:1 s6:1 s5:1 s4:1 regions:2 barium:2 lamp:3 pair:2 fed:2 significance:1 allowable:1 axis:8 charging:1 profile:2 intended:1 lifetimes:2 capture:1 may:2 aom:3 after:6 orbits:1 collection:2 2x1:1 plane:2 designed:4 fi:1 data:2 parallel:2 efficiently:1 ambiguous:1 diagonal:1 short:1 natural:1 liquid:1 ichihara:1 light:10 pseudopotential:3 correspond:2 cosmology:1 s3:5 si:2 maintain:1 green:2 specifying:1 menlo:1 keeps:1 hayakawa:1 operate:2 order:5 operations:2 feed:1 pulsed:1 σb:2 feedback:3 gauges:4 ibm:1 over:4 neilson:1 outer:1 hallman:1 resonant:1 thermal:1 experiments:3 through:3 2v:5 oven:3 pbs2:1 existence:1 diagonally:1 still:1 its:1 ωrf:4 before:4 andor:1 steel:3 contaminated:1 longitudinal:11 monitor:1 decay:12 chosen:7 interesting:1 masses:4 fra:1 decreases:2 window:2 production:1 compelling:1 fig:29 insulator:1 torr:8 decreased:1 encompassed:1 alter:1 weber:1 photodiodes:1 misalignment:1 ri:3 non:3 usa:7 dac:2 adamson:1 innermost:1 runs:2 reflected:1 uhv:1 effects:2 front:2 now:2 provision:1 hall:3 maintaining:1 counter:1 represents:1 february:1 finite:2 g4:1 university:10 presented:1 backgrounds:2 identified:1 perkin:1 capability:1 sufficiently:1 trap:66 radial:4 found:3 universit:1 side:1 scattering:1 referred:1 em:1 wheel:2 defocusing:1 retrieve:1 chopper:2 accelerator:1 scheme:2 energy:11 hard:1 positioned:1 gaussian:3 related:1 group:1 decays:1 depositing:1 dupont:1 measurement:7 quantum:1 aids:1 approximated:1 beyond:1 event:2 special:1 out:1 canada:2 shown:11 eguchi:1 funding:1 steps:2 frontier:1 nuovo:1 valve:2 rev:9 load:1 particles:2 re:5 rf:26 investigation:1 produced:3 drever:1 danilov:2 induced:2 forth:1 occurs:3 hcl:1 shows:4 fiber:3 turning:1 linear:10 housed:1 interactions:2 mω:4 voltages:2 isotope:2 standard:1 ex:1 reason:1 base:1 term:1 feedthroughs:1 backed:1 invar:1 detecting:1 8v:1 steering:1 isolator:2 care:1 days:1 r0:4 r1:1 r2:1 created:2 geometry:2 eom:1 could:1 1v:1 cosmic:1 moment:1 times:3 creates:1 length:3 levels:1 circuit:1 signature:1 hence:1 quadratically:1 view:6 onto:2 first:1 exotic:1 v1:1 daunting:1 sinclair:1 probability:1 dispenser:1 v7:1 causing:1 number:7 reaches:1 xe:12 kimball:1 dust:1 long:2 quadrupole:2 insulation:1 ring:1 open:1 angular:2 size:1 given:1 precise:1 temperature:7 hyperbolic:1 introduction:2 diameter:1 system:25 adopted:1 their:3 cooling:14 intermediate:1 ton:1 dissipate:1 eqn:4 lab:1 rates:5 white:2 hundred:1 filter:1 low:2 starting:1 emccd:10 trapped:14 wavelength:1 exploded:2 relative:1 park:2 wiley:1 transverse:4 absorbed:1 udc:5 part:3 hep:1 sian:1 focusing:2 off:1 minutes:1 versatility:1 center:5 tonoise:1 distance:4 observatory:3 double:4 summary:1 drift:1 likely:2 submitted:2 states:1 computer:2 modulators:1 neuhauser:1 amplitude:3 prescott:1 radius:4 providing:1 powers:3 capacitance:2 result:2 hz:2 modeled:1 ev:2 5d3:2 prl:1 ann:1 cleveland:1 tuscaloosa:1 discussions:1 substantial:2 deconfinement:1 exchanging:1 elsevier:1 clearly:2 accounted:1 estimated:1 built:1 min:1 efficient:1 studying:1 gorbachev:1 storage:1 physique:1 isolated:1 mechanism:2 lett:7 extracted:2 confocal:1 potential:8 cylindrically:1 interior:1 performance:1 detector:6 fukuda:1 even:1 begin:1 towards:1 ins:1 mcgill:1 bands:1 though:1 buffer:21 collaboration:1 neutrinos:1 systems:2 mclachlan:1 most:2 optimized:2 connected:1 but:2 position:1 device:1 accepting:1 acknowledgements:1 segment:14 alabama:1 kc:1 urf:1 vapor:1 tpc:2 observation:3 eject:2 considered:1 exo:12 calculated:1 implications:1 drifts:2 doe:1 kr:1 optical:2 electrons:1 clean:1 arguably:1 velocity:2 physics:11 section:1 elliott:1 sector:1 drastically:1 show:1 v12:1 v13:1 v10:1 schenker:1 cathode:4 3v:1 injected:2 radio:1 solutions:1 pump:5 astrophys:1 longer:3 fg03:1 decade:1 ground:1 sj:1 ratio:7 installation:1 parameters:5 daily:2 cpu:2 outside:2 negligible:1 than:3 transmitting:1 only:1 araki:1 enriched:4 stability:6 pursuing:1 acknowledge:1 various:1 he:11 polarizability:1 do:1 dl:1 stabilization:3 dependent:2 beams:4 de:3 db:1 dc:10 allen:1 beam:7 cannot:1 words:1 new:1 during:7 symmetrically:2 conjunction:1 collisional:1 shaping:1 routed:1 description:1 reveal:2 rfq:5 evident:1 introduced:1 arxiv:3 remove:1 across:1 microscope:2 paper:1 rga:1 shg:2 switzerland:1 baked:1 valid:1 voltage:5 scanning:1 set:1 lasers:4 electrodes:12 achieved:1 undergoes:1 sensitivity:1 mw:2 detection:2 depends:1 individual:7 college:1 aims:1 operated:2 close:1 pbs1:1 gavrin:1 electrode:4 flavor:1 closer:1 phases:1 detect:1 interacting:2 supported:1 purpose:1 nuclear:1 currently:1 diode:1 dipole:1 µs:1 µm:2 pressures:2 state:2 identification:2 burleigh:1 closed:1 between:4 crude:1 waists:2 conditions:2 email:1 quantities:1 discovery:1 available:1 multiplied:1 anglin:1 reflection:1 anti:1 complement:1 emitted:1 deliver:1 however:3 jr:2 rapidly:1 efficiency:4 vrf:1 extent:1 contamination:1 article:1 configuration:2 pixels:2 topology:2 mong:1 σi:1 spectrometry:1 last:1 grounded:1 gratefully:1 many:1 region:9 vibration:1 heating:8 constructed:1 sensitive:3 cylindrical:1 capelli:1 mr02:1 com:2 comes:1 capacitor:1 reside:1 reduce:2 5v:1 co:1 key:1 timescale:1 laurentian:1 sullivan:1 perot:2 ca:4 excess:1 period:1 hollow:3 running:1 regulated:1 loaded:5 along:1 application:1 entrant:1 mathieu:5 pq:1 described:8 collides:1 capable:4 addition:2 z0:1 create:2 acceptance:1 trademark:1 three:5 been:3 t2:1 reduction:1 much:3 pf:4 interest:2 collected:2 flexible:1 utilizing:1 v11:1 tank:5 box:2 arises:1 corresponding:1 resistively:1 both:4 suppress:3 sufficient:3 longitudinally:4 gas:24 ahmad:1 conductors:1 aperture:3 controller:3 confinement:3 external:2 0v:4 evidence:1 hodgson:1 applied:6 p3:1 handling:2 laser:17 processes:2 pacs:1 indefinitely:1 reliable:1 ejection:1 lobes:1 pixel:1 will:7 dept:1 while:5 p2:1 error:1 andersen:1 aspheric:2 continuously:1 carleton:1 optimize:2 real:1 pound:1 vogel:1 coupled:2 pzt:1 metric:1 simulations:1 coating:1 site:2 equal:1 cools:2 good:1 confining:3 attributed:1 measured:1 allison:1 mod:1 binary:1 different:4 author:1 perform:1 neutrinoless:2 thesis:3 locking:1 cross:1 same:5 any:4 arnaboldi:1 parts:1 potentially:2 split:1 schematic:4 mixtures:2 units:2 dimensionless:1 several:2 events:2 higher:1 g3:1 noble:1 clear:1 used:11 http:2 closest:3 appreciably:2 numerical:1 interscience:1 effect:1 phd:3 ion:84 lxe:4 v3:1 uses:1 v5:1 v6:1 potentials:2 v8:1 v9:1 reference:1 keep:1 insure:1 affecting:1 lower:3 task:1 so:2 traps:4 possibly:1 minimize:1 whole:1 random:1 depending:1 well:9 roughly:1 analysis:1 waldman:2 segmented:2 directly:1 edge:1 regulating:2 simulated:2 coordinate:1 ccd:1 model:4 otherwise:1 charged:1 spherical:3 6s1:2 savard:1 manifold:1 less:1 increasingly:1 mr0:1 observed:1 presumably:1 shape:1 stored:1 identify:2 atomic:3 behind:3 useful:1 paul:4 speed:1 eigenstates:1 alignment:3 based:1 sampled:1 loading:1 preprint:1 candidate:3 entire:1 photons:4 z02:1 except:1 grayscale:1 source:2 add:1 caltech:1 halo:2 input:2 chromaticity:1 giannini:1 excited:3 momentum:4 divided:1 identical:1 increased:1 read:1 phenomenology:1 showing:1 possible:2 successful:1 aoki:1 objective:2 increases:1 destabilizing:1 private:1 background:14 vacuum:21 confined:3 using:7 bit:1 no:1 loss:2 modifications:2 lost:1 particle:1 shaped:1 follows:1 signal:15 adiabatic:1 loses:1 specific:1 chamber:3 vdc:1 unstable:1 either:3 martin:1 become:1 wavemeter:1 differentially:1 essential:1 cooled:2 www:2 because:1 schematics:1 pd3:1 creation:1 some:2 back:4 imaged:2 understood:1 brightness:1 ideal:1 table:2 multiple:1 development:1 establishing:1 counts:1 transport:1 provided:1 scale:3 dimensions:2 operation:2 confirm:1 broadband:1 leak:2 tube:1 measurements:4 integration:5 instantaneous:1 enomoto:1 when:1 does:1 inject:1 provides:1 assuming:1 greyscale:1 mhz:2 straightforward:1 tech:1 majorana:3 tuned:1 noise:7 coated:2 ba:37 power:4 slight:1 s13:1 doubles:1 each:9 conventional:1 s15:1 s14:15 pressure:12 step:2 reduces:1 output:1 cycling:1 super:1 montero:1 earlier:1 panel:2 lens:3 about:1 actual:1 would:5 meth:1 package:1 eqns:1 discussed:2 beta:4 o:1 reduced:1 range:2 xenon:4 rayleigh:1 ti:4 mean:1 other:1 contaminations:1 average:2 colorado:1 presence:3 enough:1 elmer:1 into:12 within:4 ahn:1 due:7 down:2 phase:1 square:3 references:1 primarily:1 heated:1 computational:1 proportional:1 pd2:1 very:2 terminated:1 statistics:3 institut:1 additional:1 transfer:4 support:1 initial:5 gases:3 custom:1 start:1 σb2:1 p1:1 series:3 astrophysics:1 alexopoulos:1 was:4 assumes:2 function:1 farine:1 gaseous:1 elsewhere:1 form:1 energies:1 metastable:1 simplifications:1 hp:1 differences:1 extended:2 applicable:1 volume:1 taken:2 neutral:6 construction:2 repeatedly:1 cycle:1 atom:3 injection:7 iris:1 proposal:1 spontaneously:1 fort:1 directed:1 made:4 infinity:1 coulomb:1 consist:1 stanford:9 default:1 characteristic:2 inside:5 variations:1 maximum:1 cim:1 getter:1 placed:3 below:1 frequency:6 limit:3 spectroscopy:8 pumped:3 fairbank:1 fluctuations:2 distribution:2 panels:3 similar:2 laplace:1 flatt:3 sudbury:1 interval:1 constant:3 emitting:1 classic:1 defined:3 flow:1 abstract:1 mirror:3 arbitrary:2 doubled:1 mode:2 v2:1 single:35 ar:9 exist:1 periods:2 cornerstones:1 formulation:1 controlled:3 pedestal:1 inoue:1 cables:1 internal:1 endcap:1 vertical:1 ni:1 functions:1 compared:1 nm:15 equivalently:1 corporation:1 whereas:1 edwards:1 generally:1 rs:1 nf:4 end:1 field:8 pasadena:1 electrical:2 details:2 spatial:1 department:5 simion:5 pfeiffer:3 confine:3 trajectory:6 picture:1 michael:1 energetic:1 60s:1 photon:1 mechanical:1 v4:1 abdurashitov:1 emission:2 a1:1 foil:4 important:1 nucleus:1 fabry:2 suppression:1 studied:1 variable:1 stainless:3 au:1 astronomy:1 instr:1 radioactivity:1 regime:1 faster:2 fluorescence:26 unload:1 4v:1 tubes:1 required:9 orbit:1 ottawa:1 scroll:2 cavity:4 depth:1 observe:2 mass:8 image:2 time:16 signals:1 dover:1 resolution:1 avoid:1 once:1 |
0704.1647.txt |@word illustrates:1 results:7 scalar:1 entropy:24 go:1 remarkably:1 whose:1 heller:1 inverse:1 depend:1 calculate:2 re:1 γs:4 presents:1 finally:1 those:1 elliptic:2 stable:1 include:1 worth:1 alternating:1 case:2 very:8 wave:4 bjorken:6 figs:1 emphasized:1 presented:1 turns:1 anisotropy:1 t2:1 solution:1 t0:5 large:9 shuryak:4 vector:1 math:1 small:4 gauge:1 equation:4 possibility:1 resummation:2 consistent:1 estimates:3 literature:1 sign:4 approximation:4 rate:1 displays:2 dynamics:1 odd:1 expressions:1 even:4 what:1 nonlinear:1 appear:1 near:1 current:1 experiment:1 above:1 new:2 kovtun:3 contrast:1 coefficient:3 quenched:1 wiedemann:1 explosion:1 behavior:1 here:1 adrian:1 following:2 asymmetry:1 mev:5 compressed:1 relaxation:3 concluding:1 path:1 along:1 quite:1 equations:1 appears:1 deduced:1 obtained:4 great:1 ref:2 casalderrey:1 study:2 studied:1 suggests:1 amount:5 resulting:1 usually:1 noticeably:1 pathological:1 followed:2 projection:1 scales:2 apr:1 maldacena:2 contradictions:1 total:2 derivatives:1 use:5 usa:1 positive:1 contains:1 negative:2 next:2 almost:1 nucl:9 call:1 therefore:1 qcd:8 taken:2 theoretical:2 possible:1 more:3 israel:1 partons:1 th:11 comparison:1 becomes:1 about:1 glass:1 particular:1 known:3 hole:3 iii:1 carried:1 keeping:1 collision:2 setup:3 work:1 theories:1 values:3 publications:1 abandon:1 modifies:1 compare:2 figure:2 relativistic:2 sps:1 high:3 pushed:1 lorentz:1 numbers:1 sharp:1 standard:1 keep:2 ratio:8 information:3 rather:1 s0:1 how:3 answer:2 parameter:2 danielewicz:2 profile:1 rept:1 description:8 may:5 earlier:1 quasinormal:2 plane:1 cft:6 janik:1 data:2 fm:10 types:1 ooguri:1 stress:4 short:2 lhc:1 effective:3 resemble:1 light:1 explicit:1 correspond:4 stewart:1 order:28 gµν:2 baier:2 produces:1 indeed:2 soon:1 years:1 produced:5 course:1 thermal:1 experiments:1 including:1 resummed:3 argued:2 its:4 before:1 perfect:1 longitudinal:3 fiz:1 brook:2 qgp:1 late:1 absence:1 production:10 microscopic:4 fig:7 might:1 shear:5 correspondence:1 them:2 motivated:2 combination:1 practice:2 evolution:2 landau:3 sssr:1 effects:4 they:2 son:1 discuss:1 sτ:2 term:3 fully:1 university:1 micro:3 2f:1 magnitude:3 mode:1 reasonable:2 radial:1 found:3 2n:2 side:2 mean:1 heavy:3 directly:1 hadronic:1 series:5 energy:2 reduce:2 stronger:1 used:3 frequency:1 expect:1 entering:1 measure:1 our:4 approximated:1 ev:1 eq:4 out:1 shown:3 acknowledgment:1 gradient:3 since:3 rev:5 collisions:5 nauk:1 izv:1 rn:2 induced:1 issue:2 occurs:1 red:2 shows:1 after:2 theory:3 guess:1 free:1 quark:1 approaches:3 york:1 put:1 estimate:3 shortest:1 created:1 starts:1 conformally:1 times:6 motion:1 length:2 produce:1 navier:2 corrections:6 onto:1 think:3 first:16 there:3 nc2:1 number:1 smaller:1 another:1 impossible:2 message:1 precisely:1 given:2 temperature:5 decrease:2 indicate:1 leading:1 condensate:1 system:2 their:2 conservation:1 ballistic:1 too:1 statement:1 eqn:1 structures:1 final:2 gyulassy:2 fraction:1 relative:1 akad:1 zeroth:1 transverse:1 part:6 somewhat:1 x2:1 attempt:1 than:2 coefficients:3 distance:2 determines:1 liquid:1 measured:1 see:3 limiting:1 matter:3 viscosities:6 toward:1 powers:2 function:4 lines:1 correction:2 mind:1 argument:2 curves:2 substantial:2 close:1 need:1 seen:1 any:2 forced:1 able:1 gravity:1 note:3 ideal:2 ditional:1 accuracy:1 blue:2 begin:1 beyond:2 opposite:1 measures:1 viscosity:13 beta:1 quantitative:1 phase:4 colliding:1 intrinsic:1 why:1 especially:1 clear:1 flow:5 doe:1 accounted:1 talk:1 velocity:2 usual:1 physics:2 reprinted:1 particularly:1 lauret:1 supported:1 converge:1 relation:5 lublinsky:1 partonic:1 fg02:1 based:5 parameters:1 favor:1 implementation:1 written:1 should:3 only:5 black:3 ksb:3 invisible:1 he:1 ultrarelativistic:1 hope:1 do:1 his:1 means:1 de:2 beam:1 parton:1 cannot:1 altogether:1 during:3 ds:1 runs:1 dumitru:1 arxiv:13 summary:1 paper:2 hydrodynamic:3 traceless:1 ignored:2 set:3 ser:2 phenomenologically:1 frame:1 maximum:1 observed:3 namely:1 radius:1 result:2 recently:3 outward:1 uν:3 αs:1 tensor:5 review:1 definite:1 tend:1 gluon:1 state:2 various:1 between:2 crude:1 invariant:1 justified:1 approach:1 notice:1 terms:6 reproduced:1 however:1 ellipticity:1 jets:1 uρ:2 both:3 commenting:1 many:1 agree:1 sensitive:1 dated:1 expended:1 argue:1 finds:1 otherwise:1 presumably:1 relevant:2 cn:3 conclude:1 reasons:2 had:1 corresponds:1 dimensional:4 analyzed:1 pole:1 grants:1 simply:3 cs:2 interrelation:1 actually:1 ad:1 considering:1 described:2 second:3 sqgp:2 three:1 been:2 quickly:1 reduction:2 primordial:2 azimuthal:1 expected:1 degrees:1 ph:3 lett:2 field:2 direction:2 supersymmetric:2 tµν:4 bulk:2 dramatic:1 present:2 sound:9 pacs:1 solid:2 originate:1 appearance:1 value:4 will:4 while:4 match:1 reliably:1 gubser:1 conformal:1 inspired:1 launched:1 pessimistic:1 larger:1 coupled:5 phenomenological:1 λqcd:1 metric:1 thus:2 discrepancy:2 ii:1 im:1 conf:1 conical:1 trusted:1 containing:1 88er40388:1 make:1 problems:1 same:5 clearly:2 parts:3 potentially:1 arguments:1 widely:1 largest:1 higher:8 independent:2 attenuation:2 dǫ:1 numerical:1 effect:7 flows:1 hand:2 ion:3 moment:1 hydrodynamics:10 recent:2 lower:1 weakly:1 shortly:1 modes:2 macro:2 well:7 analysis:3 without:1 coordinate:1 position:1 model:4 parametrically:1 left:2 ny:1 background:3 proposed:3 being:2 percent:1 accurate:1 rest:1 identify:2 useful:2 macroscopic:2 yet:1 adv:1 ads:6 density:1 absorption:1 extra:1 seems:1 color:1 δtµν:4 input:1 plasma:8 momentum:1 real:3 spectacular:1 read:1 february:1 early:6 romatschke:2 similarly:1 using:2 rhic:9 like:1 admittedly:1 collective:1 exploit:1 become:1 inter:1 reduces:1 parity:1 shed:1 because:2 qed:1 some:3 erase:1 starinets:3 proper:6 matching:1 rapidity:1 teaney:2 provided:1 scale:4 heinz:2 lead:2 does:1 prog:1 minimal:1 reach:1 each:1 conventional:1 expansion:11 step:2 although:1 imaginary:5 stage:1 gained:1 stokes:2 sister:1 works:1 central:2 would:1 freedom:1 introduces:1 o:3 practical:1 misleading:1 oz:1 introduced:1 stony:2 orders:1 ηn:3 numerically:1 bound:1 due:2 thankful:1 appropriate:2 right:6 determine:1 operator:1 reducing:1 rely:1 hep:8 aharony:1 extremely:1 initial:10 question:2 specifically:1 dispersion:6 start:4 much:3 way:1 viscous:2 was:2 lowest:1 medium:1 form:1 collected:1 related:1 convergence:2 fg03:1 trying:1 dissipative:14 observation:2 made:1 qualitative:1 up:3 us:6 below:4 2πt:8 kolb:1 problem:6 hydro:8 similar:2 calculated:1 strongly:5 associated:1 fist:1 int:1 certain:1 ndof:3 general:1 twist:1 predictions:1 relates:1 formally:1 gradients:5 formalism:1 regime:1 functions:1 compared:2 thermodynamical:1 ideally:1 no:1 uµ:3 dashed:2 nc:2 when:1 nf:2 application:1 points:2 details:1 spatial:1 department:1 theor:2 hydrodynamical:5 conclusion:2 ads5:1 models:1 solana:1 convincing:1 generated:1 important:2 dissipation:1 astronomy:1 ago:1 coupling:3 assume:1 dτ:2 curve:2 d27:1 equivalently:1 time:22 nuclei:1 starting:2 having:1 |
0704.1648.txt |@word secondly:3 steiger:3 limited:2 magnetic:1 dynamic:1 four:2 prefix:1 heliocentric:6 dere:2 presents:1 cm2:1 summarized:1 experimentally:2 direct:1 pulse:2 likely:6 street:1 chen:1 estimated:1 blue:2 errors:2 above:5 net:1 increasing:3 consisting:1 shocks:5 never:1 sunspot:2 here:12 atoms:1 ionization:4 reported:1 active:3 interpret:1 obtained:12 elaborate:1 approaches:1 lawlor:6 changes:2 9i:1 diameter:1 classification:3 9e:1 highly:7 visible:2 stern:1 9p:11 counts:8 total:13 plot:1 would:1 discrepancies:1 therefore:10 type:2 snowden:2 conclusions:1 schwadron:10 warm:6 vpl:1 hole:1 must:1 abundance:5 md:2 mg:3 ma:1 setup:1 work:3 mi:1 mk:1 temperatures:6 ms:2 widths:1 example:4 wang:1 indicated:6 activities:1 indicates:3 caution:1 absolute:2 provide:1 feature:5 how:3 hot:6 after:5 outbursts:1 spectrometer:2 summarize:1 parallel:1 types:2 attempt:1 effective:10 recombination:1 summing:1 encompassing:1 green:5 contributes:2 keeps:1 order:13 wind:166 interpretation:1 over:14 vary:2 murray:1 affect:6 before:3 outgassing:5 fit:14 destroyed:1 production:2 fig:26 schmidt:1 them:2 affected:3 combination:1 collide:1 effects:9 they:2 netherlands:2 oxygen:18 brightness:5 classified:1 backgrounds:1 keady:1 reasonable:1 each:8 sidc:1 side:4 lasting:1 schemes:1 series:3 laboratory:1 extract:3 mason:2 rd:1 re:3 gov:1 rh:8 abbott:1 arizona:1 given:9 free:4 standard:2 ecliptic:5 giessenbachstrasse:1 estimate:6 created:1 atm:1 days:1 disturbed:5 onto:1 vittorio:1 features:14 birch:1 primary:1 another:2 thick:7 illustrate:2 top:1 approximately:1 heights:1 rates:3 observations:38 centered:4 took:3 a73:1 somewhat:1 distance:11 target:4 showed:1 zero:1 project:1 classes:4 murtagh:1 enhancement:1 spectrum:23 seen:8 ray:45 farnham:2 strength:4 latter:1 fitting:9 2006b:1 even:2 shall:1 extending:1 involving:2 germany:1 phase:7 acknowledgements:1 treats:1 calculated:1 flow:3 bockel:2 doy:1 inaccuracies:1 sum:3 planetary:1 probe:3 implying:2 attempts:2 earth:5 priv:2 finally:2 situations:1 explain:2 greenwood:5 do:1 de:3 db:1 chronological:5 covering:1 nicely:1 fields:2 biver:4 analytical:3 thanks:1 observer:1 sensitivity:2 zones:2 depends:5 radius:1 result:3 best:3 techniques:1 oceanic:1 co2:2 catalogue:1 future:1 cooperation:1 approach:1 glasgow:1 oma:1 triplet:2 terms:3 nature:2 weak:1 however:4 harvard:2 extent:2 contamination:1 carbon:9 received:1 irregular:1 uncertainty:3 l147:1 cylindrical:1 exceeds:1 distinction:1 requests:1 disappears:1 regarded:1 con:1 30th:5 royal:1 unexpectedly:1 height:1 basis:1 equations:1 three:6 been:8 much:3 fry:6 dots:1 families:1 applied:3 13th:1 exception:1 excited:4 dello:2 near:6 study:2 procedure:6 equator:1 ii:3 comparative:2 interacts:2 id:1 confirmed:2 cools:1 suggest:3 clearly:8 complex:2 split:1 several:6 satellite:1 trajectories:1 potentials:1 vainshtein:2 dennerl:10 opportunity:2 geiss:1 cycle:7 wimmer:1 simulated:5 quantitative:2 just:1 decreasing:1 assigned:1 farther:1 suraud:2 spherically:1 yet:1 previous:1 monitored:2 ease:2 had:3 5p:3 wright:1 greatly:2 disadvantage:1 plasma:7 gave:1 opt:1 l81:1 possible:3 colafrancesco:1 collisionally:11 descending:4 background:23 advanced:1 apart:1 atmospheres:4 cooler:3 arrivals:1 detections:1 periods:5 signal:12 www:1 acad:1 anticorrelations:1 underly:1 jupiter:3 fov:2 tracked:1 bottom:1 umd:1 riera:1 post:2 properties:3 o:54 efforts:1 obs:1 soc:1 presence:3 ut:1 down:2 lies:1 methods:2 support:1 initial:3 overestimation:1 width:1 hyakutake:2 resulted:1 was:54 ksec:1 lowest:1 head:1 medium:1 gaseous:1 differences:5 taken:6 solar:136 removed:1 true:2 tempel:11 compositional:1 bounds:1 tucson:1 hotter:2 sight:2 abstract:1 evidence:1 exist:1 archive:1 triangles:1 regime:3 nl:4 dotted:5 no:4 whereas:2 generally:3 ne:10 papers:1 models:1 why:2 kvi:2 tribution:1 variable:1 russo:2 jones:1 faster:1 assume:3 interval:1 governed:1 time:17 n6:2 n7:2 measurements:2 activated:3 focus:3 leads:1 roy:1 garching:1 grateful:1 morphology:6 abundant:1 depend:3 zone:2 circ:2 technique:1 environment:4 2004b:1 charge:34 umich:1 kaastra:1 brown:3 deforming:1 advantage:2 zhang:15 could:3 intercombination:6 cool:3 looney:1 presented:3 did:4 steeply:1 culminating:1 labels:2 team:1 hospitality:1 dis:1 l95:1 slower:1 findings:4 slowed:1 crescent:6 targets:2 spectral:38 appear:1 current:2 sequential:1 international:1 filled:2 paradoxical:1 palmer:1 agreement:1 water:6 groups:1 alone:1 along:2 appears:1 change:3 shift:1 studied:1 bow:5 simultaneous:1 suggestion:1 resonance:5 studies:5 plotted:1 lowers:1 useful:4 mckenna:6 wilken:1 planck:1 working:1 combi:3 suppl:2 going:1 theoretical:3 apparent:3 1s2:14 appendix:5 diffracted:1 emitting:1 cases:3 capturing:1 flares:4 flp:1 longitude:1 l125:1 following:2 making:1 dedicated:1 figure:15 predict:2 expanding:1 chip:16 sample:7 weighting:2 remijan:1 performed:3 allowed:1 orbits:1 counting:1 hydrogen:8 rays:16 s3:21 s1:11 s0:5 s4:19 flank:2 fourth:1 parameter:2 map:1 product:1 r2h:1 may:15 max:1 produce:2 designed:1 date:2 data:35 correlate:1 ss:1 su:1 cascade:1 si:2 so:1 typical:12 words:1 gradual:2 mainly:7 endez:1 course:2 nitrogen:8 cold:7 still:3 observational:9 derive:3 group:2 thumb:1 acknowledge:1 decreases:1 offers:2 mail:9 main:2 johns:2 views:1 introduce:1 identically:1 arriving:1 discuss:2 groningen:2 term:2 january:3 drop:1 terr:1 weighted:1 significantly:1 collisionless:2 ee:2 populates:1 astrophysical:1 1nn:1 ev:44 hcs:1 shown:12 space:9 furthermore:2 lagrangian:1 increase:5 collisions:7 contained:1 gaussians:1 squares:2 shows:6 earlier:5 χ2r:7 theory:1 ort:1 diagnostic:1 bowshock:1 dependencies:2 institut:1 care:2 flare:20 transition:5 turn:1 place:3 friedel:2 first:17 symmetry:1 xx:1 fast:17 comprises:1 array:3 open:1 george:1 1s:14 sheet:1 indicate:6 iau:2 structures:4 williams:4 mostly:1 continuous:1 astrophysics:2 x3:1 than:12 population:3 unfortunately:1 accordance:3 lisse:29 delay:1 festou:3 hoekstra:8 were:46 pre:1 ann:1 locations:1 dash:3 20d:1 20f:1 exchanging:1 any:4 unsuitable:1 shocked:1 note:2 sciences:1 magnetohydrodynamical:1 take:2 online:2 coincide:1 strengths:4 channel:1 multiple:3 track:2 correlation:4 lyon:1 especially:1 considered:3 average:4 magee:1 typically:1 show:7 forecast:1 ground:3 astron:3 slow:14 ratio:24 plume:1 proportion:1 behind:2 only:9 explicitly:1 black:6 fritsch:2 get:1 geocentric:4 freezing:3 sso:1 cannot:3 differentiating:1 secondary:1 prime:1 ascending:1 yield:2 summary:2 supp:1 predicted:1 mapped:4 fainter:1 through:1 compressed:1 extraterrestrische:1 bt7:1 maximum:11 relative:13 existence:2 concern:1 subsequent:1 label:1 enough:1 between:32 uk:7 ascribed:2 analyzes:1 comm:1 coma:7 come:1 reaction:3 missions:1 many:4 region:8 quiet:8 propagation:1 comet:121 nearby:1 forecasting:1 key:1 reprocessed:1 color:1 cmes:1 period:6 jets:1 anti:5 spans:1 kev:2 associated:8 better:1 combines:1 lyman:1 west:1 carey:1 combined:1 direction:2 formed:1 photon:4 6p:3 observe:1 those:3 case:4 characteristics:6 discrepancy:1 according:3 middle:1 bonnefoy:1 ephemeris:1 helium:2 sauer:1 different:21 same:5 html:1 figures:1 physical:1 events:2 extended:3 harris:1 barber:1 σr:6 changing:3 largely:1 roughly:4 solve:1 components:2 very:4 model:37 charged:4 manifold:1 being:3 when:16 neon:4 rest:1 noaa:1 speed:3 photons:4 seems:2 except:2 instrument:6 lett:2 grating:3 extensive:1 real:1 psk:1 around:13 mol:2 using:10 identifying:1 velocities:13 streamers:2 discarded:1 either:4 a63:1 table:16 provided:2 dimensions:1 recorded:2 moon:1 provides:1 o8:7 o7:5 o6:3 beiersdorfer:13 moderate:1 refer:6 scientific:1 seconds:5 unusual:1 ratios:26 refers:2 comparison:2 bimodal:1 ace:1 oh:3 discussed:7 srl:1 decelerated:1 coronal:9 stand:1 wolk:2 cambridge:3 inclusion:1 communication:3 velocimetry:1 references:6 determine:1 heated:1 landi:3 lastly:1 theoretically:1 area:8 removing:1 there:15 start:1 low:13 arez:1 assumes:1 gibb:1 metastable:1 juh:1 amongst:2 sophisticated:1 marsden:2 quantitatively:1 strongly:2 ac:2 neutralized:2 certain:1 describe:2 am:1 deep:5 general:3 aq:3 ap:2 examine:2 arises:1 au:17 planets:2 neutrals:2 again:1 completeness:1 elemental:1 field:18 caltech:1 spatial:2 opacity:7 polar:6 briefly:3 collaborative:1 separate:2 drift:1 includes:1 pointings:2 important:9 nucleus:12 peak:1 included:8 building:1 remote:2 partitioned:1 mass:5 baugh:1 resolution:8 original:1 fleury:1 abundances:16 sci:4 consider:1 pointing:1 ali:2 forbidden:7 lack:1 follow:1 c1:2 scr:3 content:1 opportunities:1 present:3 th:2 wachmann:5 presentation:2 mpg:1 mpe:1 far:6 induce:1 fall:1 24th:2 difference:3 condition:1 treating:1 wm1:11 applicable:2 cascading:1 t1:7 large:10 small:8 rate:5 displays:1 further:3 brackets:1 sun:14 section:18 version:1 asz:1 method:3 contrast:2 christian:4 compilation:3 hours:3 selective:5 andrews:1 relaxation:3 november:3 strong:10 observing:7 almost:5 geophys:9 allows:4 amount:1 published:1 narrow:1 brightest:4 via:3 followed:2 ours:1 family:2 florence:1 readily:1 takes:1 moffett:1 contains:2 2004a:4 comparing:2 archives:3 aperture:6 minor:1 more:14 ejected:1 emission:84 particular:1 disfavor:1 hour:1 science:9 equation:1 ions:35 compare:2 pons:1 states:8 collision:7 minimum:5 numbers:2 species:15 axis:3 influenced:1 rather:1 dalgarno:8 browne:2 maps:1 influences:1 explains:1 schultz:1 simplicity:1 derived:6 mapping:2 reflect:7 retirement:1 plane:5 fe:2 ff:9 response:5 shortcomings:1 short:1 spectra:58 ege:1 developed:2 mission:2 paper:4 decays:2 broadway:1 its:16 rapidly:1 energies:5 detected:4 lata:1 might:3 good:5 mccullough:2 framework:1 association:2 2p:14 2s:1 fully:1 level:2 drake:2 2d:1 chandra:39 radial:2 2l:1 found:5 2j:1 heavy:2 reactions:7 generation:1 fisk:1 energy:12 positioned:1 expect:1 quantum:1 infinity:1 hartley:9 dominates:3 since:2 projected:1 research:3 dominated:5 denoted:1 induced:2 upon:3 confidence:3 asc:1 imaging:1 unresolved:1 benefits:1 launch:1 bliek:2 cravens:13 5th:1 major:1 yeomans:1 probability:3 number:2 contributions:1 done:1 construct:1 blank:1 fluxes:13 temperature:4 introduction:1 interact:1 kod:1 least:4 assumption:1 calculations:2 scheme:1 smoothed:1 too:2 passed:2 trapped:1 part:3 differentiate:1 gombosi:1 molecular:1 horizons:1 double:2 krasnopolsky:18 aims:1 strathclyde:1 determined:2 intensities:1 treated:1 interactive:1 7g:1 depleted:1 cometary:48 depending:1 lin:2 majority:2 unconstrained:1 towards:1 singlet:1 most:15 significant:6 colliding:2 measured:3 equatorial:15 clear:2 km:54 ks:1 fossi:1 electrons:2 velocity:27 physics:6 1s2s:2 1s2p:4 detection:2 carefully:1 find:2 impact:3 indicator:2 parameters:8 surveyed:1 factor:7 mazzitelli:1 morgenstern:2 boulder:1 dominant:3 dependent:10 compiled:2 famous:1 observatory:4 competing:1 during:21 shipsey:3 arxiv:1 garcia:2 common:1 activity:4 weaver:4 crn:1 set:2 grey:4 see:10 individual:2 bare:4 close:4 contour:3 ibid:2 currently:2 smallest:1 various:3 probably:4 conditions:12 15th:2 available:6 recently:2 statistically:1 initially:1 sole:1 spectroscopic:1 incident:1 distinguish:2 both:12 10th:1 last:2 kharchenko:8 mewe:1 sensitive:1 whole:1 experimental:3 point:5 sky:2 corresponds:1 proton:9 stancil:2 unfolded:1 observatories:1 slots:1 throughout:1 ps:3 described:3 enhancements:1 monthly:2 due:12 describes:1 collected:1 ph:1 pm:1 gas:7 modelling:6 systematic:1 surveys:2 hardness:8 p0:1 p1:3 uncertain:1 resulting:10 solid:6 straight:1 replaced:1 behavior:5 error:2 sw3:3 aa:1 jpl:1 averaging:1 von:3 encountered:3 itself:1 italy:1 lengths:1 barnes:1 products:3 shah:1 relatively:4 composition:11 higher:8 used:24 dims:2 viewing:1 arrived:1 lowenergy:1 lower:6 database:1 analysis:26 edge:3 organization:1 distances:1 pater:1 observed:44 named:1 4th:1 press:3 shape:9 intervals:1 atomic:20 tables:1 loading:1 dissociation:4 extracted:5 source:6 location:3 input:1 remaining:1 evaluate:1 apj:13 semi:1 interestingly:1 separately:1 flux:15 yields:2 often:1 some:3 understood:1 strongest:8 ejections:3 b2:1 facing:1 scale:2 though:1 integration:1 per:3 mumma:7 fragments:1 processing:1 aj:1 rug:1 bj:1 step:1 bq:1 br:2 plots:1 constrains:1 hogerheijde:1 simulation:1 range:20 regular:2 consequently:1 accessible:1 raassen:1 into:9 within:21 uncertainties:2 statistics:2 span:2 interacted:6 mack:2 lone:1 long:2 thirdly:1 forward:1 analyze:1 sections:22 branching:7 line:37 observation:28 characteristic:1 uv:4 up:2 us:1 ur:1 planet:1 exploration:1 spectroscopy:1 continuously:2 similar:3 called:1 constant:2 armstrong:1 defined:2 package:1 tomography:1 dashed:7 grouped:1 department:4 icarus:5 problems:1 generated:1 allowing:1 structure:2 correlated:3 implies:2 algorithm:1 zooming:1 neill:1 holes:3 forster:1 broad:2 having:2 results:17 existing:2 illustrated:1 eds:1 markers:1 edu:5 winds:5 huebner:2 young:1 send:1 contours:4 include:1 dramatically:1 indicating:1 g4:1 garden:1 outside:1 safronova:3 electron:16 matrices:2 categories:1 transmission:2 shock:12 dickel:1 queen:1 corotational:1 prep:1 noted:1 oort:1 cfa:1 jump:1 astrophys:1 imply:3 universities:1 index:1 gloeckler:1 giving:1 3p:3 3c:2 3b:6 3d:2 degree:1 exchange:20 respectively:4 lepri:2 explore:3 separation:1 extreme:1 great:1 larger:4 survey:24 shaded:3 makes:1 unravelling:1 ephemerides:1 apr:1 private:2 scaled:2 decrease:1 tools:1 use:8 usa:7 remains:1 breakup:2 december:1 stage:1 upcoming:1 started:1 becomes:3 transient:2 normalized:2 iii:2 hampers:1 account:8 averaged:3 thin:4 averages:2 weaker:2 purposes:1 high:10 assumptions:1 streamer:2 hit:2 hearn:1 σem:6 regions:4 located:2 varies:1 beams:1 autoionization:1 circular:1 uncontaminated:1 impulsive:1 arbor:1 physik:1 fits:2 physic:1 introduced:3 lines:27 element:1 subsequently:2 counted:1 bins:1 produces:1 produced:1 including:1 mentioned:1 perfect:1 porquet:3 blake:1 outer:6 decay:4 temporal:1 li:1 degrees:10 latitude:13 ly:7 13h:1 subtraction:2 fingerprint:1 tance:1 documented:1 day:2 february:2 university:7 beff:3 sufficiently:1 l1:4 crossing:1 rising:1 feldman:1 experienced:1 astroph:2 related:1 frequency:1 variety:2 measure:2 our:31 transitions:4 special:1 out:2 res:9 mcnaught:9 rev:8 red:2 interactions:6 interplanetary:3 completely:1 qub:1 compositions:2 interaction:8 geometry:2 latitudes:6 times:2 explored:1 assumed:4 hence:5 ionic:24 manuscript:1 third:1 bonnet:1 improvements:1 l33:1 reached:2 bull:1 unknown:4 system:2 their:12 intermediate:2 grated:1 simulate:1 july:11 tielens:4 bei:2 johnson:1 separations:2 keller:1 constrained:2 linked:2 angle:1 able:1 mid:2 mechanism:2 outward:1 rarified:1 detector:1 dimming:1 courtesy:1 eight:1 preliminary:1 class:5 subtracted:3 stronger:2 artificially:1 diagnostics:2 constrain:1 atmosphere:2 text:3 texp:1 mazzotta:1 rotating:1 purely:1 convolved:1 trivial:1 based:15 q4:9 brighten:1 should:2 brighter:1 candidates:1 molecules:14 employed:1 partially:1 local:6 equilibrium:1 meant:1 means:1 michigan:1 ones:1 aforementioned:1 collisional:8 processes:4 densities:2 differential:1 contain:1 fixed:5 view:16 statistical:2 exists:1 configured:1 correlations:1 freeze:1 edition:1 intensity:4 phases:1 interacting:9 nuclear:1 xray:2 state:31 schleicher:7 progress:2 willingale:2 variability:2 comparable:3 reproduced:1 zurbuchen:8 efficiency:4 hypothesis:2 hydrogenic:1 longitudinal:1 ames:1 monitor:1 observable:1 hits:1 attributed:2 fulfilled:1 april:5 heliospheric:2 streams:4 detailed:1 relevant:3 co:3 cm:3 ca:7 environments:3 coordinates:1 respect:2 allocated:2 second:3 addition:1 slowly:1 olson:2 contribute:3 corresponding:7 monsignori:1 astrop:1 orange:1 angles:1 decreased:2 otr:2 c6:5 c5:5 multi:2 atmospheric:1 ejection:1 rbs:1 value:2 will:15 73p:10 sunward:1 neugebauer:3 comets:59 chaotic:1 thus:6 lifetime:1 partner:3 capture:12 radiation:1 cross:30 parts:1 largest:1 units:2 powell:1 practice:1 http:3 l175:1 corotating:5 effect:4 ion:19 v3:1 infinite:1 contribution:7 scarcely:1 off:3 center:5 modeled:1 well:7 residuals:1 sets:2 firstly:2 position:1 spherical:2 encke:13 less:3 obtain:3 sources:2 underlying:1 predicts:1 macroscopic:1 density:1 smith:11 arrest:1 c17:1 resolved:2 smithsonian:1 increases:3 dryer:6 five:1 belgium:1 heer:1 like:15 qualitative:1 tennyson:1 belfast:2 underestimation:1 become:1 soft:1 dubau:2 therein:2 because:11 heliographic:4 sequence:1 demonstrates:1 avoid:1 overlap:2 14th:1 does:7 assuming:3 eso:1 capability:1 analyzed:2 demonstrated:4 noise:3 expansion:1 although:2 offset:1 periodically:1 panel:3 column:1 freedom:1 dependence:4 dependency:1 a2:1 kra:4 software:2 equally:1 letters:5 h2:2 interstellar:1 additional:2 transfer:1 snyder:1 function:2 offprint:1 funnel:1 triggered:1 but:15 histogram:1 astro:2 neutral:5 highest:1 he:5 made:7 compute:1 whether:1 latitudinal:3 variations:6 placed:1 below:9 converted:1 limit:1 ruling:1 demonstrate:3 distribution:9 minutes:1 display:2 website:1 penetrating:1 sectional:1 hopkins:2 4p:3 compared:4 calibration:1 hps:1 detail:1 other:11 details:6 june:7 haser:3 pathways:2 astronomy:2 exposure:4 morvan:2 starting:1 apertures:2 factors:2 rule:1 richardson:2 8th:4 |
0704.1649.txt |@word partial:1 consider:3 dynamic:1 results:2 leads:4 scalar:3 proposition:1 follow:1 expressions:2 row:2 inverse:1 depend:1 calculate:2 tu:3 finally:4 th:15 under:4 escobedo:1 wave:10 mixing:1 matrices:1 condition:3 four:1 obvious:1 hamiltonian:9 solution:19 discrete:18 convenience:1 vector:8 c01:2 upper:1 direct:1 sign:4 second:17 will:10 what:2 nonlinear:4 invertible:1 sum:5 expressed:2 consequent:1 above:3 sixth:2 new:3 method:1 satisfy:1 degree:4 j2n:8 component:3 here:2 understanding:1 j2p:23 consideration:2 equations:26 obtained:2 changed:1 contradiction:1 products:1 poisson:9 action:1 symmetrical:2 uniquely:1 apr:1 summation:1 bra:2 derivatives:8 use:1 takes:1 positive:2 negative:3 few:1 f01:22 f02:4 type:1 theoretical:3 more:1 operators:2 appendix:2 cases:1 must:1 equation:11 f0i:8 mk:2 remain:1 del:1 interaction:1 following:7 root:2 f0:99 f1:205 f3:2 give:1 calculation:2 sense:1 cartan:2 arise:2 νi:1 algebraical:1 six:1 write:1 how:1 fourth:1 autonoma:1 parameter:1 f36:1 algebra:5 may:6 after:7 mapping:1 waves:7 multiplication:3 fi:3 mpi:1 fn:7 physical:1 third:2 explicit:8 so:2 allow:2 order:14 acts:1 subsections:1 hierarchy:13 indeed:1 a01:1 satisfied:2 paper:4 looks:2 existence:1 its:15 leznov:11 f42:1 group:5 f44:1 f46:1 ln:1 lk:3 coordinates:2 degrees:1 systems:5 fij:1 derivative:5 main:2 semisimple:2 non:4 now:7 term:1 f64:1 equality:2 presented:3 2d:3 l5:1 l2:1 l3:2 each:1 2l:1 found:1 x12:1 side:5 nonessential:1 financial:1 t3:76 measure:1 really:2 shown:1 matrix:18 space:4 particles:1 reader:2 ri:1 math:4 torres:4 linear:2 contain:2 definition:3 dλe:3 r1:1 r2:1 r3:1 times:1 introduction:5 place:4 universidad:1 think:1 first:22 xj:2 number:1 lat:1 2a2:1 construct:4 guess:1 checked:2 equa:1 unknown:3 system:7 relations:1 calculations:9 1f:4 structures:3 1l:1 exactly:3 2ai:1 x2:1 x3:1 x1:1 than:1 coefficients:1 2f1:7 1m:1 zero:13 determined:1 were:2 tion:1 f11:22 f16:1 symmetries:2 rewrite:1 lines:5 generalization:1 seek:1 self:1 able:1 indexes:1 take:3 coincide:2 2c10:1 opposite:1 most:2 multisoliton:2 connected:5 formulae:3 multiply:3 interacting:1 soliton:3 γi:2 observation:1 kd:1 considered:2 clear:1 coincides:2 kl:2 yang:2 left:3 physics:2 section:7 fact:1 text:1 notations:1 attempts:1 solutions:6 corner:1 d2:4 find:5 fifth:1 depended:1 parameters:5 only:9 subsection:6 factor:1 integrable:1 columns:1 do:2 dm:1 dk:1 means:2 dependent:1 de:1 db:1 dc:1 ones:3 f56:1 evolution:1 crt:1 fields:2 transposition:1 arxiv:2 cij:1 view:1 2aij:1 j1:11 j2:8 facts:1 see:1 result:11 dµ:2 tl3:1 tl2:1 µx:1 nature:1 f26:1 f24:1 invariant:2 terms:18 2m:1 tut:2 multiplier:3 f45:1 come:2 f10:19 both:1 essentially:1 last:7 kji:1 equal:2 connection:3 expression:5 riddle:1 ci:3 sdym:1 point:1 simple:4 cb:3 ca:3 others:2 cf:1 dimensional:4 anti:1 polynomial:1 respect:9 described:1 commutative:2 skew:1 three:7 defined:5 reduction:1 anzats:2 ph:2 define:1 direction:1 arises:1 corresponding:4 6k:2 understand:1 doubts:1 c2:3 aknowledgements:1 present:10 case:11 multi:4 look:1 cuernavaca:1 b01:2 ar:1 situation:2 di:2 property:1 procedure:1 tµ:1 mexico:1 strait:1 thus:5 ii:1 rij:2 dual:1 different:8 author:4 morelos:1 recurrent:1 same:8 unity:1 arguments:1 finite:1 subalgebra:1 f62:1 difficult:2 independent:2 used:3 numerical:4 hand:4 invariance:1 estado:1 whole:1 without:2 solve:1 components:2 coordinate:1 lin:1 usual:1 mills:2 λx:1 obtain:5 thanks:1 differentiation:4 previous:9 preprint:1 except:1 conacyt:1 input:3 c11:2 c10:8 transformation:14 resolved:2 bij:1 rules:1 possible:3 using:2 necessary:7 follows:3 dµe:1 remind:1 arbitrary:6 mathematical:2 right:3 old:1 methods:1 some:7 back:1 n2:1 repeat:2 b2:3 describing:1 lead:5 cordoba:3 integration:1 comments:1 saveliev:1 bf:1 ba:3 bc:4 σij:1 equivalent:1 l1:3 bi:4 weil:2 substitution:6 transformations:1 comparison:2 about:2 column:2 2i:1 mutually:1 cancelation:1 important:2 plus:1 f35:1 done:2 outlook:1 h2:1 into:3 h1:2 down:1 because:2 references:1 determine:1 operator:16 hep:1 additional:1 support:1 question:1 forward:1 was:4 function:4 form:12 but:3 construction:2 hm:1 line:12 tλ:1 ut:1 up:2 us:11 ur:2 frechet:5 below:7 backlund:1 problem:12 similar:1 calculated:2 ac:4 ab:5 af:1 ai:8 abstract:1 general:1 invertibility:1 formalism:2 check:2 constructed:3 trick:1 functions:1 no:1 application:2 other:3 b10:10 b11:2 conclusion:1 briefly:1 elements:11 a11:2 a10:2 a1:2 a2:4 sides:1 structure:5 resolving:2 rule:1 4k:1 time:1 4d:2 having:1 |
0704.1650.txt |@word four:1 entropy:4 consists:2 whose:2 winfree:1 calculate:12 under:3 γe:1 connects:1 every:1 govern:1 affect:1 solution:10 vector:1 indices:3 markov:8 δz1:4 consistent:10 direct:3 approximation:9 likely:2 correlator:2 even:8 zinn:1 above:4 new:5 contributes:2 consisting:1 coefficient:3 behavior:9 here:6 b6:1 governing:1 ates:1 represented:6 path:4 δzn:1 obtained:6 derivable:3 elaborate:1 approaches:8 ignoring:1 procedure:1 advantages:1 adopting:1 fourier:11 attractor:1 brought:1 neutrino:1 total:1 propagators:2 linearly:1 derivatives:1 would:10 arms:3 noting:1 therefore:7 type:1 zeroes:5 populations:1 composite:1 separates:1 must:6 md:1 springer:1 locked:5 permits:1 pursue:1 work:6 theories:4 dn2:2 akin:2 vlasov:1 root:1 example:6 impose:2 renormalization:3 indicated:1 give:2 imω:2 organized:1 generically:1 involve:2 times:5 hoc:1 provide:3 feature:2 how:3 methodology:2 description:2 transforming:2 thermodynamic:2 oscillators:36 after:8 diagram:12 synchrony:4 constants:5 effective:12 summing:1 davies:2 correlation:12 order:55 interpretation:1 cumulant:3 over:17 satisfied:1 fix:2 expectations:1 exhibits:2 writing:1 better:1 harmonics:1 easier:1 eventually:3 effects:7 they:4 represents:8 arrow:1 each:28 side:1 mean:28 series:6 principles:1 laboratory:1 network:2 driving:17 crucial:1 re:8 eprint:1 linear:19 free:3 standard:4 nth:2 stochasticity:1 estimate:5 incorporates:2 r2:8 ds1:2 corrections:11 onto:1 already:1 features:1 render:2 primary:2 channels:1 another:3 carson:1 iω1:13 iω0:8 iω2:12 top:2 perturbations:10 zeros:6 somewhat:1 begins:2 distance:1 roles:1 approximations:1 tree:62 rate:1 correlators:1 project:1 classes:1 tion:1 powers:4 dθ3:6 spectrum:24 dθ1:8 manner:2 seen:1 relatively:1 traditionally:1 convenient:1 fitting:1 circles:3 blue:2 though:2 simplify:2 involving:2 dθi:8 phase:8 dθf:1 manifested:2 doi:7 treats:1 calculated:4 vertices:12 points:5 sum:4 dot:1 labels:1 γ1c:5 solutions:6 γ1b:1 substituting:1 proposed:1 explain:1 integrate:1 constant:5 γ1d:6 dn:2 do:6 di:1 de:2 fluid:1 blinking:1 yielded:1 roundabout:1 reversal:1 dt:16 ds:3 dp:2 increasing:1 fields:2 colet:1 acknowledgments:1 analytical:8 nγ:1 depends:1 radius:1 result:6 incorporating:1 techniques:1 away:2 cai:5 symmetric:1 simplest:1 drawn:1 approach:22 terms:35 nature:1 however:10 modeling:1 topology:2 suggested:2 essentially:4 conclusions:1 variance:3 contribution:4 mirollo:13 applicability:1 basis:1 simplification:1 three:1 been:5 quickly:1 basic:1 expected:3 θj:2 θi:8 suppress:1 concerning:2 residue:1 selfconsistency:1 coherent:1 applied:5 exception:1 transformation:5 employ:2 near:4 applies:1 property:1 leaves:1 characterizing:1 cylinder:1 played:1 ii:3 iv:4 obeying:1 ij:2 interacts:1 containing:1 perform:1 complex:1 avoids:1 hierarchies:2 several:3 grows:1 independent:3 nih:2 numerical:2 hand:2 normalization:4 hopping:1 left:3 just:2 physique:1 homogeneity:1 identify:2 transforms:1 followed:2 previous:7 adding:1 iω:11 transformed:1 easy:1 plasma:7 designate:1 rescaled:1 iν:1 breaks:1 possible:3 iη:1 boxes:2 progresses:2 advanced:1 appearing:1 performing:3 specific:2 steps:1 arbitrary:6 bbgky:16 right:4 truncates:1 born:1 bottom:2 purple:1 contributing:1 yields:7 minimization:1 plot:2 shifting:2 rectly:1 o:14 slightly:2 automatically:2 presence:3 dyson:1 bath:1 down:3 lies:1 support:1 initial:40 approximate:3 width:1 accordingly:2 conservation:1 fraction:2 was:16 form:17 heat:1 true:3 portions:1 arrays:1 maximum:2 mth:1 damps:1 proved:1 dν:4 exist:1 dθ:19 simulations:8 dη:4 distributions:1 check:1 triangles:1 physical:9 ni:11 nj:4 nk:1 nm:1 eventual:1 no:10 whereas:2 generally:1 vanishes:1 schwinger:1 interested:1 role:1 company:1 a15:1 picture:1 a11:1 a10:1 a13:1 a12:1 uniformly:1 variable:2 faster:3 dω:28 dφ:7 dτ:1 interval:1 governed:2 rangan:5 time:32 n2:4 leads:1 computation:5 inverse:9 graph:8 finally:1 cumulants:3 analogous:5 hereon:1 advantage:5 frequencies:15 unfamiliar:1 choice:2 exact:3 level:67 did:1 irreducible:2 solved:1 settle:1 science:2 mn:1 oscillation:1 trend:1 dealing:1 prediction:10 appear:4 annals:1 satisfy:1 understanding:1 groups:1 hansel:1 along:5 appears:3 nlin:2 incoming:6 shift:9 chemical:1 stabilizing:1 usually:1 conveniently:1 plotted:2 marked:1 1st:1 planck:1 prove:1 predictions:2 explicitly:4 memory:1 theoretical:3 diagrams:20 apparent:1 appendix:7 cases:2 rotational:2 pushed:1 oscillator:32 labeled:2 values:10 growing:1 arrive:5 figure:22 expanding:2 permutations:2 performed:3 spanning:1 occur:1 verlag:1 s1:39 s0:6 write:4 parameter:21 map:1 product:1 may:4 residues:1 produce:5 data:11 natural:5 dynamical:1 si:3 so:12 sn:11 representation:1 sf:4 typical:2 tomboulis:1 stability:7 statistical:12 physiol:1 still:6 derive:5 group:4 interesting:1 encompasses:1 offers:1 constitutes:1 non:9 golomb:1 matches:1 eiθ0:3 evolution:12 introduce:1 scaling:4 arriving:1 bogoliubov:2 now:7 discuss:1 sτ:2 term:18 stabilize:4 synchronize:2 entirely:3 domain:2 square:1 ei:3 ed:1 gaussian:5 owing:1 happen:1 eq:17 adequately:1 emerges:1 shown:10 space:4 rounding:1 furthermore:2 reactiondiffusion:1 increase:1 contained:1 correct:2 shows:8 earlier:1 theory:67 singularities:1 possibility:1 quite:4 complicated:2 derivation:1 language:1 transition:2 motion:6 βn:1 neglect:1 first:19 xk:1 surviving:1 variables:2 waves:1 comprised:2 specifically:1 directly:1 carry:1 open:2 angular:2 size:21 given:44 1a:3 1c:3 1d:3 convention:2 gives:21 way:4 γ1r:1 continuous:9 cornwall:1 x2:11 x3:4 γ1a:7 x1:16 representing:1 than:7 specify:1 population:3 wide:1 impractical:1 third:1 require:1 janssen:1 future:3 were:1 remained:1 correction:13 generalization:3 crossover:2 any:7 dωdω:3 aside:1 note:12 take:1 green:3 switching:1 multiple:1 analytically:2 especially:2 considered:5 average:5 later:3 steady:2 feynman:6 hildebrand:2 typically:1 show:14 synchronous:1 aω:2 analytic:5 only:14 going:2 black:2 essence:1 correctly:1 get:3 diamonds:1 expectation:4 truly:1 cannot:1 negative:1 progress:1 aθ:10 closure:5 intuitive:1 bifurcation:1 yield:2 summary:1 predicted:1 ignored:1 noisier:1 imposing:1 closures:1 relative:1 namely:4 uncorrelated:1 review:10 sites:2 label:2 einθ:4 enough:1 jth:1 between:2 αn:6 analyzed:1 pertain:1 according:2 called:5 dated:1 expression:4 combinatoric:2 among:1 continuation:4 period:1 pole:2 cancel:1 moreover:1 fireflies:1 imn:3 considering:6 invert:1 combined:1 crawford:3 fig:12 direction:3 observe:1 external:2 those:8 case:22 josephson:1 developing:2 invoking:1 coupled:11 discrepancy:1 good:2 converts:1 ermentrout:2 worry:1 different:8 develop:1 same:11 selfconsistent:1 verifies:1 k2c:8 constraining:1 edges:1 invariance:2 modes:24 largely:1 severe:1 without:4 solve:6 components:1 model:25 dimension:1 being:3 captures:2 actions:1 diagrammatic:3 aspect:1 flavor:1 rose:4 seems:1 except:2 setting:1 treatment:1 real:4 around:3 rules:2 using:29 particle:1 serves:5 either:2 integrals:1 always:4 a14:1 strogatz:16 provided:2 unlocked:1 langevin:1 critical:9 decomposition:1 provides:5 refer:1 equivalent:22 nmf:1 2m:11 eiψ:1 stand:1 act:2 perturbed:5 accounts:2 determine:1 operator:19 assumed:1 there:20 low:2 damping:6 complete:1 jun:1 convolving:1 applying:2 pantaleone:1 ωi:8 assume:3 expect:5 taylor:1 ad:1 certain:1 describe:6 moved:1 ao:1 general:7 quantum:1 arises:5 formulation:2 truncation:2 moves:1 again:3 field:59 deviation:6 separate:1 vertex:15 includes:1 a1:1 a3:1 a2:1 a5:1 a4:1 a7:1 a6:1 included:1 a8:1 bulk:3 perturbatively:1 curve:4 starting:2 original:2 represent:13 externally:1 consider:13 c2:2 follow:1 expressions:2 denotes:1 nonlocal:1 kγ:1 program:2 c5:1 th:2 stochastic:2 1pi:1 straightforward:1 ultraviolet:1 fall:1 condition:11 treating:1 hamiltonian:1 stimulus:1 t2:32 t0:25 t1:34 large:8 small:8 biological:1 past:1 zero:27 displays:1 further:2 bilinear:1 what:3 nonlinear:1 section:8 method:7 contrast:3 outgoing:9 full:5 ansatz:1 relaxation:2 δλn:1 equations:13 inspired:1 allows:6 krieger:1 amount:2 periodic:6 action:34 specialize:1 jackiw:1 via:10 shorthand:1 vij:1 marginal:16 onshell:1 texts:1 readily:2 conventional:2 takes:2 distinct:1 contains:2 comparing:2 taken:5 subcritical:1 more:9 operators:4 particular:5 evolves:1 keeping:2 wiesenfeld:1 recall:3 equation:56 compare:5 needing:1 neglected:2 states:2 synchronizes:1 numbers:1 sense:1 axis:5 information:5 goal:1 rather:3 acts:1 ensemble:4 derived:4 treatments:1 plane:1 coming:1 derives:2 response:19 short:1 collision:2 generic:1 negligible:1 fundamental:2 ito:1 hierarchy:28 developed:1 paper:1 through:5 lasers:1 kinetic:8 its:5 inward:1 solving:2 actually:1 absence:1 dθdθ:2 systems:4 peliti:6 propose:1 obeyed:1 oxford:1 formulating:1 easily:3 finite:21 fully:3 2a:1 found:2 2n:6 characterized:1 transform:8 generation:1 underscores:1 idea:1 connect:2 measurement:2 loops:2 beyond:5 discrete:6 since:8 λ1n:6 research:2 issue:1 benjamin:1 favored:1 extraordinary:1 reason:1 ask:1 matthews:2 beginning:1 generate:1 definition:3 retained:1 klimontovich:2 kω0:1 probability:8 perturb:1 number:12 done:1 calculational:1 validate:1 perturbation:18 temperature:2 introduction:3 construct:4 calculations:2 superscript:1 dt2:2 dt1:2 shifted:2 statement:2 relationship:1 recursively:1 immediate:1 part:4 oscillate:1 diffusion:9 kind:1 double:2 determined:4 treated:1 dη0:5 lim:1 self:2 onset:5 k2:15 generalized:7 analogy:1 added:2 rhs:1 most:4 measured:1 kc:42 clear:1 cover:1 kn:6 physica:3 traditional:1 exp:9 velocity:1 physics:13 converge:1 relation:2 find:2 causality:1 simulating:1 parameters:1 distributed:2 increasingly:1 factor:12 circle:1 his:1 notation:1 dependent:1 dti:1 generalizable:1 liu:1 synchronization:3 fastest:1 combinations:1 showed:1 arxiv:2 common:2 weaver:1 approaching:2 set:2 see:19 bare:11 theoretic:5 contour:2 various:7 subscript:1 conditions:3 available:1 recently:2 initially:2 ikn:1 both:4 prescription:1 solely:1 density:19 became:1 context:6 undershoot:3 point:28 reasons:1 corresponds:2 dimensional:1 simply:3 kernels:1 described:4 publishing:1 damp:2 due:17 z1:34 describes:4 generating:3 dθ2:2 determination:1 systematic:3 plasmas:1 fokker:1 extracted:1 p0:42 p1:11 exponential:1 solid:3 siggia:4 expanded:1 while:5 evaluating:2 error:2 evaluates:2 couplings:5 loop:72 resolved:1 averaging:3 neurons:1 vanish:2 wherein:1 emphasize:2 bethesda:1 products:1 higher:21 used:10 domains:1 moment:30 moving:1 lower:1 analysis:3 concrete:1 consistency:1 turbulence:1 λn:22 λm:6 k3:2 readers:2 exclusively:1 source:1 location:1 eiθj:1 kuramoto:26 remaining:3 evaluate:2 ichimaru:1 follows:2 ignore:1 flux:3 continue:1 indication:1 topologically:1 mathematical:3 some:6 back:1 b4:1 b5:1 trends:1 b7:1 b1:1 b2:1 b3:1 oscillations:4 b8:1 b9:1 intractability:1 pronounced:1 describing:1 integration:1 per:1 behave:1 leftmost:1 inserting:4 yvon:2 run:2 bn:5 martin:4 plots:2 simulation:6 range:1 2iω:1 consequently:1 into:10 within:5 integral:7 perturbing:1 master:2 proportional:5 chirping:1 statistics:2 question:4 long:2 forward:1 analyze:2 propagator:49 arise:1 delta:7 line:20 relaxes:1 directed:1 consist:2 2πi:3 us:8 2πn:13 marginally:4 fluctuations:28 similar:2 laplace:10 associated:1 defined:19 likewise:1 single:13 formalism:12 paradox:1 amounts:1 dashed:2 200s:2 priori:1 calculating:2 generated:1 linearization:5 sides:1 structure:2 equivalently:3 walker:1 requires:1 results:21 go:3 contributions:3 eη:2 seemed:1 deterministic:9 stable:11 include:2 indicating:1 random:1 implicitly:3 wave:2 continued:2 entire:2 incoherent:28 positions:1 notes:1 michael:1 configurations:1 zn:12 smaller:2 imply:1 insertion:1 dynamics:10 odd:8 index:1 giving:1 analogously:1 expressed:1 networks:1 cell:1 consistently:2 poles:9 degree:2 exchange:1 respectively:2 following:5 others:1 implicit:2 z3:3 dividing:1 larger:2 suggests:1 resulting:2 makes:1 involves:1 scales:2 integrations:3 summation:1 tools:1 causal:1 use:4 asymptotic:1 remains:2 dωρ:1 next:3 calculation:16 chy:1 becomes:3 iii:7 account:1 stabilized:1 eiω1:1 es1:2 when:8 reproduce:1 publications:1 averages:2 continuity:11 process:11 purposes:2 high:3 lorentz:8 nears:1 junctions:1 native:1 holds:2 located:1 instead:2 sin:15 circular:1 daido:3 singular:2 chow:2 demonstrating:1 fits:1 computations:1 light:1 lines:11 discussion:1 dx:1 produces:6 move:1 facilitated:2 produced:5 including:2 mentioned:1 facilitates:1 amputated:1 decay:12 ln:4 derivative:2 factorial:1 landau:6 dielectric:2 continuum:3 february:1 rinzel:1 sufficiently:1 magnitude:3 constraints:1 homogeneous:2 fare:1 dωi:8 related:2 frequency:22 sion:1 our:28 tauber:2 special:3 out:3 fundamentally:2 res:4 similarly:2 lecture:1 ref:16 integrated:2 red:1 diagonal:2 completely:2 dω1:19 dω2:14 dω3:8 interaction:3 determining:4 could:3 linearized:1 4th:1 hence:13 lth:2 diagrammatically:1 overshoot:2 reached:2 precisely:1 unknown:2 adjoint:2 system:32 their:1 intermediate:1 shell:2 reversed:3 exactly:4 reflecting:1 inversely:1 amplitude:2 providing:1 exhibit:2 symmetries:1 enforces:1 need:3 demonstration:1 angle:5 min:1 able:1 arm:2 subject:1 accuracy:1 calculus:1 unless:2 who:1 connected:9 intrinsic:1 why:2 nicholson:1 graphs:8 oscillates:2 fact:6 supported:1 visualized:1 nearer:1 knowledge:2 should:6 obeys:6 inω:24 inherited:1 partially:3 local:3 equilibrium:2 inθ:1 means:5 familiar:1 ones:1 words:2 symbols:5 processes:1 differential:1 fixes:1 fixed:3 computed:5 exists:1 correlations:4 operates:1 truncating:7 violet:1 closer:2 phases:10 quasiperiodic:1 interacting:3 diverge:1 state:49 identification:1 closed:1 invariant:1 boundary:2 ability:1 importance:2 ignorance:1 reproduces:1 key:1 2pi:1 configuration:2 distribution:28 extendable:1 limits:2 taking:6 equal:6 figures:5 relevant:4 cn:3 conclude:1 cf:1 diverges:2 maximize:1 respect:2 descents:1 second:8 addition:4 distributional:1 define:4 contribute:4 controlled:1 am:1 sufficient:3 cos:1 assert:1 c3:1 last:1 c1:6 present:5 c4:1 multi:2 unlike:2 value:7 will:39 dephasing:7 uncertainty:2 vi:4 refs:1 thus:13 site:2 vs:5 perhaps:1 indistinguishable:1 parts:1 gets:1 infer:1 difficult:3 tighten:1 unconventional:1 upon:1 effect:10 distinction:1 infinite:10 extendible:1 off:2 neural:1 nonetheless:2 well:8 position:1 drawing:1 sourced:1 moments:13 obtain:5 predicts:2 imparts:1 lattice:9 book:1 match:1 identical:2 increased:2 criticality:10 know:1 immediately:1 necessary:6 like:2 lost:2 δn:3 δm:1 lose:1 become:3 works:1 because:17 imaginary:6 nji:2 phenomena:2 proper:4 neglecting:1 demonstrates:1 avoid:1 does:2 assuming:1 demonstrated:2 locate:1 biology:2 noise:6 obey:2 slight:2 journal:8 expansion:33 although:10 approximating:1 gained:1 deriving:4 about:9 justin:1 extension:1 saddle:1 freedom:1 dependence:1 carries:2 important:6 bounded:1 introduced:1 rendered:1 letters:5 previously:1 functional:14 outward:1 a9:1 additional:3 pairing:1 quadratic:1 naturally:1 function:28 dνβ:1 hp:1 but:13 construction:2 illustrative:2 he:1 compute:5 whether:3 smooth:11 below:6 decays:3 limit:15 steepest:1 demonstrate:6 problem:1 interchanges:1 measure:4 denote:2 inm:6 interchanged:1 ing:1 functions:5 compared:3 variety:1 detail:1 other:13 branch:1 kinds:1 ultimately:1 variation:1 kirkwood:2 additionally:2 matrix:1 coupling:15 factors:3 4n:1 |
0704.1651.txt |@word represent:1 gu:1 since:1 consider:3 switched:1 crucial:2 global:3 alternatives:1 focus:2 scalar:35 edu:1 denotes:4 gr:6 terms:5 violate:1 sahni:1 caldwell:4 equivalence:1 posteriori:1 does:1 th:5 stable:3 breach:1 presentation:1 applied:1 lack:2 advantage:1 zhang:2 biggs:1 rise:1 springer:1 choice:1 lyapunov:3 tachyonic:1 dabrowski:1 formula:2 exact:3 condition:5 exponential:1 solves:1 eva:1 guo:2 solution:3 damped:1 solved:1 small:1 eigenvalues:2 equation:19 favoured:1 effective:1 el:3 parameterization:4 sin2:1 sign:1 approximation:2 rate:1 perfect:1 further:1 dynamics:10 situated:1 λcdm:2 blue:1 nonlinear:2 stands:1 incompatible:1 dr2:1 3w:1 favour:1 guaranties:1 current:1 helbig:1 version:5 goes:1 new:4 method:1 contrast:1 3d:1 coefficient:1 edited:1 evolving:3 full:1 sinks:1 szydlowski:7 fields:4 behaviour:4 explore:1 free:1 groups:1 address:2 depend:1 equations:3 appears:1 logarithmic:1 calculate:2 obtained:1 receive:1 study:2 studied:1 periodic:2 action:2 spacetime:2 attractor:5 via:1 useful:3 divide:2 figure:1 first:4 apply:1 rψ:1 derivatives:1 asymptotic:1 d74:1 d75:1 contains:1 negative:2 scenarios:2 phenomenological:1 linear:3 therefore:2 m2:16 mysterious:1 robertson:1 ψa:1 type:3 theoretical:5 more:1 flat:1 tsujikawa:1 bellini:1 initial:2 under:1 bruyn:1 pasquier:1 varying:2 cases:1 linder:3 must:1 logarithm:2 comoving:1 account:1 crosses:1 challenge:1 work:1 ρm:1 ρr:28 values:2 following:3 ρx:4 example:1 conformally:10 cosmological:20 give:2 ds2:1 near:1 lψ:1 states:1 numbers:1 linearized:5 verlag:1 copeland:1 rescaling:1 early:1 decaying:1 provide:1 discussion:2 reymonta:1 feature:2 browne:1 fluid:1 field:33 parameter:6 sin:7 massive:2 simplicity:2 de:1 description:3 our:2 philosophy:1 sami:2 reflect:2 applications:1 explored:1 faculty:1 realized:1 d66:1 natural:3 dynamical:10 correspond:1 parameterized:1 cosmology:5 rather:1 davies:1 fundamental:1 parameterizes:1 first:1 help:1 astronomical:3 vary:1 influence:1 stability:3 cambridge:2 through:3 signs:1 argued:2 y0:2 kinetic:3 its:4 before:1 observational:1 fine:2 efstathiou:1 ln:20 interesting:2 redshift:3 unity:1 coordinates:1 gen:2 late:1 parts:1 systems:4 jacobi:1 main:1 might:1 non:6 good:2 return:1 faraoni:7 practice:1 framework:1 they:5 now:3 2u:2 term:4 always:1 university:5 fassnacht:1 realistic:1 magnitude:1 fields:1 crossing:2 2m:1 astropart:1 2h:3 constraints:1 homogeneous:1 different:2 krak:3 energy:29 reduce:1 idea:1 used:1 manifests:1 investigated:2 ex:1 quantum:3 assumption:1 approximated:1 vicinity:1 neighbourhood:3 out:2 jackson:1 matrix:3 space:6 electronic:2 cubic:1 lagrangian:1 qc:6 research:1 acting:1 investigation:1 rel:2 jagiellonian:3 red:1 marek:1 after:1 theory:2 barrier:4 possibility:2 approaches:2 york:2 birrell:1 put:1 movahed:2 beginning:1 generate:1 r2:1 constraining:1 geometry:1 route:2 transition:3 cosmic:2 times:6 motion:3 quintessence:8 plane:1 place:1 gordon:2 transfer:1 lambda:2 stachowiak:1 major:1 behaves:1 probability:1 l95:1 variables:5 number:1 clear:1 open:1 stage:1 given:1 hyperbolic:5 crossings:1 achieved:1 system:16 indicate:1 conservation:3 rocha:1 observations:3 dt2:1 john:1 gives:2 evolutional:1 bento:1 explanation:1 inflation:1 alam:2 part:2 lublin:3 brenig:1 authors:1 x0:3 than:2 θdϕ2:1 king:1 observatory:2 showed:1 penrose:1 see:4 viollier:1 project:1 matter:4 fluctuations:1 determined:2 represents:2 were:1 deciding:1 pointed:2 generality:1 modern:2 argument:1 dash:1 portrait:4 curved:2 concentration:2 element:1 demonstration:1 orders:1 acceleration:6 forced:1 minimally:7 zero:3 ratra:1 koshelev:1 self:1 gravity:8 mechanism:5 note:2 potential:11 green:1 singh:2 kac:1 play:1 allow:1 centre:1 collaboration:1 most:3 but:4 letter:3 phase:9 marie:1 class:6 takes:1 calculated:1 gerke:1 implications:1 kr:1 points:5 principle:1 exp:5 physics:1 notion:1 quantity:1 selection:2 show:1 supported:1 krawiec:1 discovered:1 kephart:1 relation:3 solutions:3 astrophys:1 d4:1 chaplygin:2 figueiredo:1 o:1 ratio:2 knowledge:1 parameters:4 aφ:1 only:2 kul:1 candidates:1 factor:7 oscillate:1 over:2 do:1 klein:1 express:1 expectation:1 da:1 cannot:2 nearly:1 during:2 dt:2 interpreted:1 finally:2 prime:4 evolution:4 densities:1 approach:1 effect:1 arxiv:35 grav:4 acknowledgments:1 4πg:1 investigate:1 difficulties:1 choudhury:1 view:3 satisfy:1 set:1 ricci:3 violated:2 testing:1 observed:2 namely:3 projections:1 existence:1 close:3 λi:2 interacting:1 illustration:1 castagnino:1 state:13 cooray:1 simplest:2 invariant:5 boundary:1 d53:1 conditions:3 across:1 find:5 infinite:1 recently:3 weak:2 however:1 autonomous:1 wx:11 suggested:1 both:3 cos:7 many:4 taking:1 density:6 equal:1 contract:1 context:5 d37:1 hwang:1 wei:1 comes:1 sink:1 m2p:2 moschella:1 conclude:1 simple:3 asymptotically:1 corresponds:1 coincidence:1 dimensional:5 superstring:1 simply:1 starobinsky:1 dadhich:1 consideration:1 moreover:2 cq:1 basing:1 sen:1 ct:1 tuning:2 second:2 z0:2 offers:2 chae:1 due:2 been:5 mark:1 int:2 dropping:1 frw:6 damping:3 ph:24 topology:1 pl:2 fig:6 direction:1 giacomini:2 corresponding:1 gas:2 dθ2:1 gao:1 dave:1 astron:2 bayesian:2 c2:8 c1:8 present:6 case:2 conception:1 supernovae:1 pacs:1 solid:1 empirical:1 value:9 aim:1 concordance:1 while:1 piao:1 conformal:5 larger:1 coupled:17 almost:1 metric:1 b511:1 ii:1 reads:3 examined:1 illustrates:1 different:2 generic:2 radiation:2 cross:2 any:3 epoch:4 complex:2 quant:1 arguments:1 corridor:1 physical:2 extended:3 infinity:1 catholic:1 trajectories:6 koopmans:1 possible:1 v1:1 v3:1 padmanabhan:1 infinite:3 kamenshchik:1 recent:5 eigenvectors:2 adη:2 linearize:2 scenario:1 studies:2 poland:4 well:2 magical:1 analysis:1 without:1 sets:1 model:24 blandford:1 reintroduce:1 flat:3 manifold:1 emerge:1 obtain:6 actions:1 underlying:1 distant:1 paul:1 chiba:1 bertolami:1 infinitely:1 regarded:1 point:14 seems:2 source:3 priori:1 lett:13 easy:2 theorem:3 mod:2 real:3 rahvar:2 around:6 rev:15 eigenvalue:1 gev4:1 dark:19 increases:1 mon:2 background:1 vacuum:2 press:1 using:1 8πg:1 helpful:1 infinitely:1 necessary:3 like:2 lost:1 desitter:1 obvious:1 reduces:2 unstable:1 either:1 arbitrary:1 popular:1 stationary:1 therein:1 because:3 methods:4 shen:1 some:3 pφ:1 respect:7 oscillations:4 pψ:6 scale:8 lead:1 broad:1 inflationary:1 specific:2 lara:2 critical:14 mtkd:1 gunzig:1 minimal:1 d73:2 equivalent:1 expansion:1 pressure:2 step:1 substituted:1 bp:1 orla:2 bilic:1 properties:1 submanifold:5 comparison:1 saddle:1 universe:9 discussed:2 perko:1 a2:8 d68:2 quintom:2 ow:3 iff:2 mean:1 d61:1 road:1 d62:1 soc:2 differentiation:5 steinhardt:1 presence:2 into:1 linearization:1 references:1 godlowski:3 aref:1 hep:7 dewitt:2 jhep:1 assumed:4 support:2 there:4 question:1 nucl:1 why:2 quadratic:2 slowly:2 hartman:3 analyze:2 was:4 assumes:1 function:8 form:6 removes:1 jul:1 astro:22 tupper:1 construction:2 line:5 true:1 especially:1 cosmol:1 whether:1 us:3 wψ:7 limit:1 demonstrate:3 problem:6 called:3 constant:14 introducing:1 conundrum:1 universal:2 describe:2 weff:27 single:2 formulation:1 check:1 aφ2:1 regime:2 phantom:21 friedmann:1 dotted:2 curie:1 defined:1 coefficient:2 field:4 wetterich:1 other:1 role:1 parameterizations:2 department:1 massless:2 node:1 differential:1 peebles:1 3h:4 models:15 problems:2 variation:1 important:1 variable:2 relativity:1 coupling:4 assume:5 4t:1 governed:1 original:2 inset:1 huterer:1 time:12 walker:1 simplified:1 |
0704.1652.txt |@word limited:4 magnetic:1 isotropically:3 externally:1 four:2 tenuous:1 sch:1 whose:3 tobin:1 under:5 lord:1 slowest:1 cm3:4 cm2:1 thermalize:1 dell:4 stipulate:1 every:1 affect:4 newar:1 encounter:2 school:1 solution:3 heger:3 force:5 consistent:4 estimates:1 direct:1 surrounding:7 likely:7 qualitatively:2 estimated:3 even:13 established:1 errors:2 selected:1 above:13 conduct:2 new:2 increasing:3 ever:2 shocks:13 evolving:1 sinks:1 here:6 mej:3 obtained:4 study:9 changed:2 reports:1 changes:1 9h:1 divide:2 highly:1 visible:2 achievable:1 opacities:1 total:6 plot:1 would:21 negative:1 discrepancies:2 shredding:1 call:2 therefore:11 survive:2 type:1 until:2 separated:1 curvature:2 gallino:1 must:7 abundance:3 ii:9 work:2 mh:1 erg:6 temperatures:5 example:2 give:2 indicates:1 orion:3 magnitudes:1 isothermal:3 end:2 provide:3 verify:1 travel:3 recovers:1 far:2 hot:1 significance:1 answer:1 description:1 after:30 demanding:1 corrector:2 summarize:2 colella:2 meaningful:1 calvet:1 third:3 nakagawa:1 nascent:1 algorithms:2 decreasing:2 worst:3 operate:1 order:5 deform:1 over:11 truran:2 before:13 destroyed:6 production:2 differently:1 shear:1 matzner:5 eventually:1 them:3 affected:3 fragment:2 collide:1 effects:13 they:18 multidimensional:1 represents:6 rocky:1 reasonably:1 explode:2 reasonable:2 each:10 went:1 interpolation:3 side:1 mean:1 used:18 substantially:1 aids:1 damped:1 borne:1 unbound:2 gradient:3 quantify:2 particles:1 size:7 ri:1 arizona:3 linear:1 showk:1 given:9 free:3 necessarily:1 homologous:1 estimate:3 recovering:1 starts:1 days:3 ism:2 moving:1 onto:3 speeds:3 already:6 features:1 render:1 upwind:2 another:1 sutherland:3 hern:1 top:9 returns:1 approximately:1 heights:4 needed:1 too:6 percentage:2 inflow:1 collapse:6 took:1 somewhat:1 injected:23 begins:1 distance:7 erickson:1 approximations:2 second:4 preparation:1 hollenbach:3 minj:2 halliday:2 ram:10 manner:1 stalls:7 seen:11 unaffected:1 implemented:2 harper:3 reale:1 isolated:3 thorough:2 causing:2 forces:2 acquire:1 though:2 object:1 viscosity:3 what:8 boltzmann:1 involving:1 phase:8 macpherson:3 calculated:8 flow:4 inferred:2 accounted:1 lpi:2 sun:8 calculates:1 lewis:3 radii:2 solutions:1 suntzeff:1 earth:1 proposed:2 implementation:1 explain:4 rich:1 adequate:3 do:7 klein:4 de:2 cushion:1 despite:2 dv:3 dt:7 dr:1 ds:1 runs:5 bar:1 4πr:2 fields:2 nλ:1 analytical:3 swept:1 anders:1 zones:37 radius:29 result:3 discussions:1 best:1 subject:1 tensor:1 away:8 propagates:1 µm:1 pressures:4 protected:1 approach:1 discovery:1 terms:1 overestimates:1 however:4 boss:3 benchmarked:1 modeling:2 improve:1 suggested:1 received:1 essentially:2 heating:3 against:3 hamuy:2 exceeds:3 argue:1 condenses:1 timescale:6 gelfond:1 height:3 loaded:1 radiative:3 been:13 quickly:1 confident:2 much:13 progenitor:3 expected:2 life:1 quantities:13 applied:2 exception:1 slr:3 lesser:1 near:4 applies:1 stopping:1 aid:1 hartmann:1 obeying:1 parsecs:1 containing:2 cools:1 make:1 split:1 several:6 evolve:2 numerical:42 hand:2 hydrodynamics:4 kept:1 radionuclides:7 scenario:4 failing:1 slrs:14 contact:4 simulated:3 morishita:1 just:3 krot:5 ρkb:1 yet:1 previous:4 mckee:7 mix:3 similarities:1 had:5 apart:2 insensitive:1 survival:2 possible:5 possibly:1 indicative:1 birth:2 performance:1 pertinent:2 advanced:1 occurring:1 orlando:2 specific:1 steps:4 arbitrary:1 disks:18 deal:1 truncated:1 ouellette:6 somehow:1 born:3 escape:9 dense:3 core:3 post:3 properties:4 meyer:7 census:1 months:1 o:14 slightly:2 sod:6 presence:3 bound:5 son:1 down:1 lies:3 right:1 balanced:1 reducing:1 compression:1 support:1 initial:12 chevalier:5 conservation:3 fraction:4 was:29 lowest:2 medium:1 gaseous:3 form:7 annulus:2 forming:5 differences:1 tachibana:9 heat:1 magnitude:4 understandable:1 solar:23 removed:2 understood:1 prevents:1 maximum:3 tucson:1 overall:1 fractions:1 later:1 computing:1 abstract:2 evidence:1 peres:1 simulations:41 check:1 physical:5 leer:1 dotted:1 no:4 generally:2 ne:4 setting:1 role:2 test:7 desch:4 roll:1 picture:1 intend:1 models:3 felt:1 taurus:1 variable:1 transfers:1 explosions:1 abscissa:1 assume:2 interval:1 together:1 dρ:1 stripping:10 time:50 protostar:4 parcels:1 restored:1 concept:1 particular:3 focus:1 morphology:2 layers:7 certainly:3 zone:9 graph:1 flash:3 passage:2 environment:3 finally:5 sequestered:1 vej:8 ın:1 orthogonal:1 anonymous:1 minute:1 cool:5 drag:2 clouds:3 level:6 did:2 solved:1 prevent:1 slower:3 oscillation:1 slowed:1 contracted:1 uniform:8 goes:1 rd:2 filled:1 satisfy:1 explosion:8 meteorites:6 address:1 alone:1 laughlin:2 along:3 appears:1 change:2 box:2 incoming:7 studied:4 wherever:1 commonly:1 bow:15 geochim:1 myers:2 studies:2 plotted:2 nmax:3 spatially:1 extra:3 colgan:2 modifying:1 handled:1 mss:1 photoevaporated:1 tightly:1 scenarios:1 live:1 scope:2 associated:6 jeffries:1 jacobsen:4 today:1 acceptable:1 validity:1 everywhere:2 virtue:2 cases:1 annuli:1 capturing:1 4πd2:3 deformed:2 reviews:1 values:5 following:4 making:1 gravitationally:5 claim:4 figure:31 performed:1 allowed:4 thermalizes:1 hydrogen:1 occur:4 inheritance:1 chemical:2 rubin:1 criterion:4 fourth:1 parameter:5 begs:1 deviated:1 may:4 max:3 δvr:4 mac:7 explored:1 designed:1 data:1 grow:1 supersonic:4 explicit:2 ghz:1 accelerated:4 cannot:4 so:12 sn:1 definitions:1 typical:8 years:35 stability:5 course:3 motions:2 argued:2 still:1 thank:2 how:5 vicinity:2 decreases:2 forms:1 decreased:1 main:3 non:6 thereby:1 processes:1 scaling:1 half:7 now:1 discuss:1 nor:1 shu:2 term:6 arrows:1 instabilities:23 instability:1 entirely:3 el:1 stalling:3 weighted:9 significantly:5 ed:5 crushing:3 alessio:1 year:1 doubtful:3 approximated:1 eq:6 adequately:1 gonzalez:1 shown:3 space:1 increase:1 contained:1 exploding:2 suggesting:1 squares:1 viable:2 shows:6 state:9 sideways:1 quite:3 ori:1 inevitable:3 widths:1 motion:1 initiate:1 place:2 massive:9 neglect:1 first:14 origin:5 littlefair:1 symmetry:3 striking:9 onb:1 variables:6 simplified:1 long:5 directly:4 angular:5 xu:2 little:1 law:1 survivability:4 indicate:1 cooling:28 structures:2 gives:3 inefficient:1 absorbs:3 representing:4 than:29 serv:1 effective:2 transferred:2 future:4 were:28 johnstone:2 san:5 considerably:2 locations:2 rvmp:1 any:5 computationally:2 efficient:2 shocked:7 note:4 ideal:1 potential:4 take:2 converged:7 destroy:2 begin:1 multiple:1 norman:7 enter:1 compress:2 falls:1 falle:1 analytically:1 latex:1 radioactive:1 especially:3 considered:5 average:5 adopt:1 steady:5 drive:1 incorporation:1 typically:5 quantity:9 precise:1 drastically:2 spaced:2 show:6 threshold:1 line:6 unther:1 ratio:8 enough:7 analytic:2 only:31 uppermost:1 helmholtz:6 get:4 vary:3 expectation:1 truly:1 ionized:2 nearly:3 geometric:2 reveal:4 regarding:2 yield:2 dopita:3 predicted:1 scott:5 reveals:1 physically:1 relative:1 violates:1 satisfying:1 ways:1 subsequent:1 review:1 behind:1 between:21 affecting:1 justified:1 across:4 vertical:10 jr:1 clayton:6 suppressed:1 many:6 region:6 hours:3 according:4 σd:3 comes:1 nearby:11 color:7 period:2 maintained:4 spans:1 moreover:1 considering:1 collides:2 carina:1 absence:1 mark:1 quitte:1 combined:2 fig:16 direction:12 6h:1 formed:7 observe:3 external:1 those:6 sound:4 supernovae:6 pram:6 refractory:2 ongoing:1 investigating:1 eberhardt:1 characteristics:1 comoving:1 cluster:2 photoevaporative:1 vesc:3 different:9 same:13 verifies:1 investigated:4 kelvin:6 siegel:1 companion:1 constraining:1 edges:3 lengthscales:2 roughly:6 components:1 model:5 dimension:1 being:15 when:10 disperse:1 aspect:1 speed:6 photons:1 except:5 desktop:1 struck:3 momentum:30 real:1 lada:4 around:11 thermalized:1 outermost:4 early:5 np:4 grid:12 using:22 accepted:1 ruled:1 vertically:3 adams:2 particle:1 reduces:1 velocities:11 shrink:1 facing:1 either:4 always:1 downward:2 reduced:3 exposed:2 pacific:5 imaged:1 table:7 duration:1 provided:2 kmc:12 tube:4 extensively:1 gaskell:1 critical:1 propagating:2 restoring:1 refer:1 equivalent:2 ratios:4 stone:9 central:11 instantaneously:1 discussed:2 generated:1 practical:1 greatly:1 act:2 mixed:10 communication:1 references:1 strip:2 technically:1 fast:1 area:1 assumed:3 there:5 dispersion:3 low:25 stars:16 viscous:2 bubble:1 assumes:2 tight:1 complete:1 strikes:3 wasserburg:2 mnras:2 pull:1 embedded:1 robustness:1 detailed:4 certain:2 describe:1 moved:1 deep:1 general:1 examine:2 arises:1 au:53 planets:1 gradients:1 az:3 again:1 way:6 field:1 spatial:1 deviation:1 important:5 chris:1 mass:64 resembles:1 accreted:3 resolution:36 original:3 represent:1 abundances:6 surrounded:2 consider:2 cameron:2 follow:6 expressions:2 disk:285 diffusive:1 program:1 reipurth:5 th:1 safety:1 tc:2 case:21 global:8 sitting:1 very:11 ultraviolet:1 dispersions:6 fall:2 difference:12 condition:5 lengthscale:1 t1:4 large:2 small:4 midplane:5 woosley:7 haas:1 past:2 rate:1 timescales:1 pass:1 further:2 attributable:2 canonical:28 tcool:3 deeply:1 section:2 thickness:4 version:1 method:3 contrast:1 condensed:4 full:1 1987a:1 ranges:2 friedrichs:1 cylindrical:4 compressed:1 directions:1 strong:2 equations:1 colored:2 allows:2 prior:2 amount:10 published:1 formation:9 via:1 followed:1 timestep:1 zinner:1 readily:1 takes:3 pismis:1 comparing:2 taken:7 entails:1 minor:1 more:26 flat:1 initiated:1 ejected:3 keplerian:6 tested:1 impulse:1 varying:3 known:2 producing:1 evolves:3 equation:4 protons:1 sweeps:1 intercepted:5 remain:2 paragraph:1 evolved:2 hawley:2 compare:2 stated:2 neglected:3 conspire:2 pushed:2 minimum:6 numbers:2 sharp:1 axis:7 information:1 processors:1 rather:2 busso:1 stayed:1 acta:1 galactic:1 gounelle:4 fe:26 waves:2 ρej:6 short:5 negligible:3 fundamental:2 ejecta:121 held:1 thermal:2 paper:11 through:12 kinetic:2 ejects:1 its:17 rapidly:5 inward:1 actually:4 late:2 detected:1 systems:1 travelling:2 might:1 deformation:2 good:4 looney:3 yr:4 association:3 easily:3 cosmochim:1 hereafter:1 fully:3 2d:1 radial:4 found:11 2h:2 referred:1 energy:18 reduce:2 expect:3 beyond:2 robert:1 since:3 dominated:1 occurs:3 confidence:1 reason:1 base:1 imaging:1 members:1 ask:1 beginning:1 generate:1 rosner:1 conducted:3 δr2:1 clump:5 grossman:2 probability:1 upper:8 number:8 done:1 miss:1 temperature:12 introduction:2 interact:4 smoother:1 moderately:2 least:6 assumption:1 calculations:2 molecular:19 observations:5 passed:4 relieved:1 favorably:1 zeus:6 employ:1 part:2 authors:1 spacings:2 diffusion:8 scheme:1 stall:10 aas:1 toward:1 comput:1 7h:2 headings:1 orders:3 vulnerable:1 wilson:1 zero:1 onset:1 majority:1 internal:3 analogy:1 unconstrained:1 play:1 added:3 rd4:1 reach:1 most:12 significant:5 position:1 colliding:2 measured:3 chondrites:5 mach:2 kb:3 clear:1 kh:20 unreasonable:1 km:14 unreasonably:1 electrons:1 exp:1 velocity:47 physics:4 gold:1 converge:2 carefully:1 find:7 impact:3 giant:1 simulating:1 parameters:5 heavily:1 distributed:1 factor:12 accurate:5 hit:12 notation:2 nakazawa:1 imparted:1 feels:1 closely:1 during:1 resolve:3 arxiv:1 nakamura:15 weaver:7 wrote:2 set:4 art:1 achieved:5 undergoes:1 plausible:1 ara:1 see:10 injecting:1 close:5 contour:8 currently:1 diluted:1 smallest:3 various:3 probably:2 numerous:1 ρc2s:1 creating:1 initially:2 acquired:2 interface:5 alters:1 4gm:1 both:1 last:1 reverse:6 barely:1 sensitive:2 point:3 simple:6 corresponds:2 homogeneously:1 simply:2 throughout:2 agb:5 ps:1 described:3 create:3 due:9 naylor:1 hitting:7 pc:21 reduction:3 timesteps:3 ph:1 po:2 firm:1 lived:3 gas:118 precision:3 else:2 lives:1 loon:1 grains:13 solid:4 deferred:1 while:10 replaced:1 behavior:1 intercepts:1 vectors:8 apjs:4 itself:4 aspects:1 vanish:1 shorter:1 hester:4 composition:2 neutron:1 higher:16 calculation:1 literature:1 radionuclide:1 flows:2 levels:1 uses:1 recent:2 deflects:2 lower:10 analysis:1 edge:4 woodward:2 shape:1 questions:3 alternative:1 conclusions:5 decayed:1 guaranteed:1 source:11 location:2 sheared:1 marco:2 demands:2 advocate:1 amari:3 necessary:4 helpful:1 imposed:4 excluding:1 follows:2 adiabatic:3 ignore:1 flux:1 continue:1 yields:4 eej:3 terminology:1 methods:1 ignored:2 some:12 back:2 streaming:1 strongest:1 accelerate:1 oscillations:1 infall:2 delivered:5 scale:9 affects:1 measurements:2 integration:1 per:19 efficiencies:1 pej:1 fragments:6 minimal:1 run:18 martin:1 aj:3 agreement:1 step:18 intense:1 franco:1 constraint:1 simulation:22 plewa:1 range:3 computational:3 into:37 within:13 integral:1 appropriate:2 primarily:2 shimoda:1 extremely:1 question:1 specifically:1 forward:5 fragmented:1 relaxed:11 quiescent:1 injection:9 characteristic:1 uv:6 up:5 us:4 2πr:1 exploration:1 similar:5 constant:1 defined:7 stripped:9 influence:1 doesn:1 single:3 parsec:1 defines:1 amounts:1 dashed:4 invalid:1 application:1 department:1 icarus:3 explaining:1 draw:1 elements:3 energetic:1 gross:1 problems:1 prepared:1 develops:1 allowing:3 fisher:1 sides:1 structure:1 algorithm:2 required:2 resolving:2 orbit:4 depth:1 requires:1 code:19 illustrates:1 results:21 illustrated:2 winds:2 gm:1 nucleosynthetic:2 protostars:3 intensive:1 squeezing:1 contours:13 stable:3 include:2 g5:1 outside:1 wave:2 mixing:12 severely:1 moderate:1 experiencing:1 shock:76 cfl:3 smaller:13 subtle:1 index:1 morse:1 slight:2 3v:1 flowing:3 advected:2 lee:4 exchange:1 respectively:2 spacing:3 delivering:1 intercept:1 others:2 larger:2 resulting:1 makes:1 apple:1 scales:1 apr:1 private:1 apj:21 resolutions:14 approximating:1 cloud:51 use:7 asymptotic:1 remains:2 next:2 tauri:1 few:10 depicted:1 fes:1 becomes:3 benchmark:1 occurred:2 sharply:1 ρc:3 ρg:4 integrating:3 bally:3 averaged:1 ρs:2 thin:1 ρv:1 drops:3 dropped:1 protoplanetary:38 escapes:1 process:4 purposes:2 high:20 effectively:13 isodensity:15 varied:3 pure:1 glassgold:2 regions:5 varies:2 instead:2 element:1 allow:3 mccaughrean:3 astronomical:10 move:1 parallelized:1 produced:1 including:5 accrete:1 contaminated:1 sic:2 outer:5 chosen:1 stalled:2 clusters:4 euv:1 defining:1 greater:2 material:11 interstellar:1 highpressure:2 front:1 rotation:5 day:2 lagrangean:1 university:3 accompanies:1 sufficiently:2 kpc:1 tracer:2 constraints:1 homogeneous:1 heated:1 related:3 society:5 frequency:2 our:46 out:6 fundamentally:2 mediated:1 cause:1 glover:1 tempe:2 maintains:1 completely:4 likelihood:1 shortest:1 interaction:7 geometry:2 could:9 times:9 length:1 isotropic:1 mdisk:2 hence:6 retain:2 diminishes:2 deviates:1 manuscript:2 reaches:4 reached:2 revealed:1 system:23 adopted:2 their:9 lifetimes:1 travelled:1 final:3 exactly:2 dyne:8 reflecting:2 observed:6 subroutine:1 amplitude:4 steep:1 kastner:2 πa2:1 unlikely:1 constrained:2 acceleration:4 min:2 resultant:1 nucleosynthesis:1 able:2 gravity:6 mechanism:2 oliveira:2 accuracy:2 goswami:2 signifying:1 lodders:2 propagate:1 intrinsic:1 volume:2 isotopic:4 radiating:1 snapshot:1 mechanical:1 constrain:1 oscillates:2 normally:2 fact:3 kita:1 absorbing:2 anyway:3 bocchino:1 rotating:1 artificial:3 based:1 ngc:1 should:8 achieve:2 equilibrium:2 meant:2 handle:2 quantified:1 bear:1 timing:3 penetrate:1 quantifies:1 areas:2 evolution:8 densities:6 strebel:1 conditions:7 hydrodynamic:1 contain:1 enhances:1 temporarily:1 computed:6 exists:2 irradiation:1 differs:1 computer:1 geometrically:1 closer:3 interacting:2 nebula:6 macros:1 written:2 tens:1 boundary:13 comparable:2 ability:2 supernova:101 emitted:1 efficiency:10 hypothesis:3 configuration:2 problem:14 comparably:1 hits:1 instant:1 limits:1 taking:1 acknowledge:1 attributed:1 etc:1 figures:1 passing:2 trajectories:1 otherwise:1 strongly:1 relevant:8 cm:35 conclude:4 cf:1 m17:1 deflected:6 cs:5 respect:1 addition:5 outflow:1 slowly:1 define:2 myr:4 corresponding:2 sufficient:8 hayashi:4 angles:1 derivative:1 improved:1 c0:3 present:4 unlike:5 value:6 will:22 layer:7 ssrv:1 almost:7 thus:2 surface:5 vr:1 examined:1 claimed:2 vz:18 orbital:5 capture:1 perhaps:1 radiation:2 cross:3 parts:3 finite:4 difficult:3 meteoritics:1 absorb:2 upon:1 effect:9 v5:1 dust:20 destruction:8 insure:2 off:2 center:1 nevertheless:1 modeled:3 well:12 davis:1 perseus:17 catastrophically:1 undertaken:1 spherical:4 less:7 increasingly:1 proximity:1 sources:1 tcc:4 rapid:1 density:58 smith:2 hoppe:4 reasons:1 extends:3 smarr:1 rehm:2 match:4 resolved:1 tests:1 increased:3 increases:6 know:1 denser:3 press:1 immediately:2 loss:6 displaced:1 δz:2 like:4 lost:4 sizes:1 δt:1 δr:1 lose:3 4mh:1 entrained:1 exceed:4 because:22 discontinuities:1 huss:6 ebel:2 proper:1 transport:2 injects:1 does:8 assuming:6 tmin:1 reaching:2 expansion:2 stellar:4 pressure:44 although:7 analyses:1 about:35 column:4 dependence:3 recognized:1 andez:1 predictor:2 previously:1 domain:4 assess:1 additions:2 van:2 additional:2 transfer:3 condense:2 inner:5 yrs:1 naturally:1 function:6 triggered:2 shang:2 but:32 astro:1 repeated:1 convergence:15 highest:10 made:1 shrunk:1 gravitational:14 variations:1 placed:1 below:10 limit:2 demonstrate:1 distribution:2 penetrating:1 contribute:1 meaningless:1 referee:1 periods:2 compared:3 courant:2 percent:2 detail:2 subsonic:3 other:11 compares:1 branch:1 δtr:2 conclusion:2 francisco:5 star:30 dilution:1 radially:2 ultimately:1 metallicity:1 ghost:1 factors:3 meteoritic:9 richardson:1 expands:1 |
0704.1653.txt |@word consider:6 compensator:1 illustrates:1 rev:9 d74:1 varying:2 liddle:3 results:4 gg:1 gf:1 scalar:29 grateful:1 follow:1 remarkably:1 research:1 gr:5 compact:9 whose:1 preserves:1 hold:1 depend:2 aug:1 technique:8 tr:7 b468:1 tn:1 γi:1 does:3 onderzoek:1 preserved:1 th:21 under:10 fermionic:1 applied:1 belonging:1 global:1 proved:1 kφ:1 orthogonal:1 lscalar:2 multi:11 seemingly:1 choice:2 every:2 difficult:1 matrices:1 condition:3 look:2 four:2 presented:1 nijenborgh:1 solution:45 ds24:3 large:1 solved:1 vector:6 indices:1 relation:4 zagermann:1 der:1 programme:2 upper:1 work:4 consistent:3 sign:2 second:6 further:1 dynamics:4 panda:1 substitute:2 αi2:1 what:3 developed:1 appear:3 brackets:1 diag:3 sum:2 3p:4 analogously:1 celi:1 above:5 new:6 method:3 exercise:1 backreaction:1 deduces:1 respectively:1 here:3 understanding:3 tangent:2 ansatz:4 groups:2 equations:20 appears:1 change:1 contraction:1 obtained:2 great:1 eij:2 antisymmetric:1 shift:1 study:1 vectors:2 allows:1 knapp:1 superpotential:6 b633:1 action:13 spacetime:1 involves:1 γijk:3 named:2 via:4 shorthand:1 andrianopoli:1 scales:2 βii:3 sliced:1 fake:4 total:1 univ:1 unit:1 derivatives:1 use:1 d71:1 takes:1 lifts:1 prove:3 remains:1 positive:6 contains:3 p0:2 properties:3 nucl:4 sitter:1 call:1 therefore:9 expanding:1 taken:1 themselves:1 theoretical:1 andr:1 flat:4 tsujikawa:1 duality:2 started:1 becomes:3 dxµ:3 problem:1 appendix:2 rigid:2 eλ:2 particular:3 known:3 aligned:1 eα:2 must:7 valued:1 local:4 equation:10 constraint:1 theories:2 wands:2 itself:2 values:1 den:1 following:8 root:1 example:5 decoupled:1 proof:1 bakas:2 renormalization:1 cosmological:9 give:1 calculation:2 ds2:3 generically:2 saffin:2 states:1 effectively:1 breathing:1 cartan:2 buchert:1 arise:1 rescaling:1 dxb:1 dxa:1 axis:1 e2t:1 needs:2 dennis:1 klein:1 thing:1 rather:1 discussion:3 holds:3 csa:2 occur:1 write:2 how:3 nyi:3 pure:3 ryy:2 instead:2 schunck:1 gaugings:1 parameter:5 copeland:3 fr:1 superpotentials:1 coming:2 algebra:6 after:1 derived:2 cso:2 demanding:2 mab:1 fg:2 multiplication:1 fi:1 law:4 constants:1 natural:2 lyth:1 third:1 correspond:3 cosmology:6 tale:1 dilaton:7 so:21 expression:2 allow:1 sl:18 representation:7 pulled:1 order:13 gµν:1 satake:1 interpretation:2 sonner:3 indeed:3 over:2 satisfied:3 stability:2 gauged:3 paper:1 through:3 left:1 existence:1 kinetic:8 still:2 its:1 ld:1 derive:3 group:3 manuscript:1 ln:16 interesting:2 ll:1 relativity:2 coordinates:9 better:1 systems:2 derivative:3 hidden:1 main:1 supersymmetry:12 maximal:9 non:12 good:1 nunez:1 gauging:1 scaling:49 framework:2 walls:6 they:5 eµ:6 multidimensional:1 now:3 handy:1 possess:1 groningen:2 easily:1 term:8 netherlands:1 2p:1 always:4 university:2 backgrounds:1 e2λ:1 2d:1 mode:1 found:2 european:1 side:2 constraints:1 homogeneous:1 domain:10 differential:1 weight:1 energy:4 related:4 inhomogeneous:1 toda:1 extended:1 ec2:1 quantum:1 happen:1 beyond:1 special:1 out:4 shown:4 fre:4 matrix:6 space:23 gradient:1 restricted:1 furthermore:1 since:17 lagrangian:6 denotes:2 re:1 get:1 squares:2 occurs:2 math:1 shows:2 tracelessness:1 limλ:1 theory:3 hull:1 diagonal:2 free:1 standard:2 five:1 clarify:1 reason:1 cartesian:1 complicated:3 imagine:1 put:3 hep:21 generate:1 definition:2 hubble:1 slice:1 language:1 geometry:1 could:1 cosmic:2 ds2d:4 used:2 times:3 motion:16 turn:1 βa:3 δij:3 hence:1 bogomol:3 star:1 βi:3 βj:1 first:15 origin:5 already:1 symmetry:4 jhep:2 xa:3 geodesic:39 rank:2 restrict:1 2δij:2 construct:2 another:3 carry:2 illustrate:1 take:1 given:14 necessarily:1 reference:1 moduli:3 introduction:1 leading:1 adjoint:1 πi:1 system:8 relations:1 fermions:1 dt2:1 b496:1 bergshoeff:1 townsend:6 gives:1 shell:3 fraction:1 reversed:1 exactly:1 immediate:1 part:9 authors:1 probably:1 believe:1 specify:1 kind:1 showed:2 gik:1 imply:2 were:3 tackled:1 schnabl:1 minus:1 ungauged:1 projections:1 rab:2 unchanged:1 generalization:2 kasner:6 curved:2 seem:1 element:3 clearly:2 contents:1 acceleration:1 lie:5 dµ:3 zero:7 pa:1 billiards:1 able:1 gravity:5 note:6 instance:3 potential:17 generalized:5 analogy:1 utrecht:1 modulus:1 play:1 added:1 multiple:1 fundamental:4 trace:2 centre:1 object:1 birkh:1 most:5 but:9 multiply:1 class:9 sub:1 astro:4 parametrize:4 considered:1 clear:3 sometimes:1 flow:6 points:3 exp:4 b685:1 velocity:2 subgroup:5 physics:1 section:3 dot:1 reserve:1 thomas:1 set:1 bazeia:1 show:1 supported:1 supergravity:19 discovered:1 spaces:4 gauge:11 solutions:44 roo:1 trivial:4 find:7 sorin:1 d58:1 based:1 parameters:1 d59:1 controls:1 should:2 jan:1 only:5 bases:1 generators:5 geodesics:6 factor:3 kaluza:1 preliminaries:2 axion:9 ifi:1 dl:8 normalizations:1 goes:1 notation:1 means:2 dependent:3 simplest:1 overall:1 define:3 cannot:1 dz:2 dy:3 combinations:1 dw:4 symmetries:1 alimi:1 freedman:1 prime:1 nicely:1 fields:8 arxiv:2 grav:6 acknowledgments:1 qc:4 mapped:1 explanations:1 view:1 riemannian:1 2p0:1 redefine:1 multiplying:1 exists:4 ricci:1 frame:4 larena:1 edition:1 see:7 w2:2 discussions:2 p2a:1 forthcoming:1 wonder:1 hilbert:1 radion:1 tensor:1 ways:1 review:1 definite:2 cosmologies:19 partition:1 symmetric:4 oxidation:2 written:4 irn:1 between:3 invariant:8 boundary:2 conditions:3 d57:1 preserve:1 notice:6 terms:9 right:3 complementary:1 importance:1 complement:1 attention:1 transpose:1 however:2 killing:6 2pa:1 vanishing:3 jk:1 correspondence:2 ug:1 received:1 brandhuber:1 last:1 v02:1 many:4 mrtn:1 according:1 contract:1 agata:1 connection:2 mazumdar:2 context:1 whole:1 comes:3 affine:7 point:3 wall:4 lagrangians:1 corresponds:3 proeyen:1 dimensional:14 superstring:1 associated:4 prasad:1 ct:1 pr:1 forms:2 described:2 transformations:7 geometries:3 basis:2 eβ:1 locally:4 curve:12 dx23:1 int:1 reduction:4 describes:5 interest:1 westra:4 ph:4 algebras:3 dk:1 choose:2 generating:8 arises:1 corresponding:1 scalars:9 tolley:2 curves:8 demand:1 c2:2 c1:3 maximally:4 realities:1 case:7 attractors:1 intriguing:1 ǫf:1 exponential:8 frozen:1 straight:10 will:4 menezes:1 semisimple:1 gave:1 conformal:2 leaves:1 procedure:1 voor:1 studied:1 coupled:1 sommerfield:1 averaging:1 metric:12 ir:19 thus:3 trigiante:1 reads:1 ij:4 seen:3 susy:5 c0:1 vanish:1 compactified:2 d15:2 different:1 righthand:1 perform:2 higherdimensional:1 make:2 recurrent:1 same:5 any:1 complex:1 quant:5 φi:17 φj:4 finite:1 φn:3 higher:2 independent:1 literature:2 trivially:2 upon:1 hand:1 v0:4 v2:1 uses:1 d69:1 potentials:3 completeness:1 invariance:2 identity:1 recent:1 relies:1 lower:1 off:1 materie:1 makes:2 nonetheless:2 de:2 solve:2 mod:1 consistency:1 coordinate:7 entry:1 model:1 dimension:3 usual:1 isometry:1 manifold:6 axions:5 less:1 when:6 vanishes:1 torus:4 identify:1 transforms:2 human:1 spatially:2 λi:1 sfetsos:2 previous:1 adv:1 auser:1 extra:1 seems:2 parametrization:4 b573:1 source:1 add:1 belongs:1 extends:1 lett:3 complements:1 guarantees:1 solvable:3 transformation:6 divided:1 real:1 tits:1 depends:3 represents:1 rules:1 showing:1 flrw:8 possible:1 spanned:1 dark:3 inflation:7 dφi:4 know:1 vacuum:2 hartong:2 using:5 apart:2 theor:1 necessary:1 like:11 follows:4 interestingly:1 performing:1 isotropy:1 serves:1 specific:3 bps:17 integrals:1 arbitrary:4 rarely:1 works:1 stationary:2 reduced:1 because:2 often:2 deal:1 truncated:2 fundamenteel:1 some:6 back:1 tvr:1 elements:1 examples:1 moreover:1 universes:2 supergravities:1 happens:2 solving:1 scale:6 describing:3 dimensions:1 illustrated:2 cosets:1 integration:1 comments:1 useful:2 critical:1 decomposition:1 lattice:1 dilatons:4 assisted:6 riet:4 fom:1 branes:2 convenient:1 refer:1 obey:2 power:4 losano:1 rug:1 illustration:4 wesley:2 step:2 βij:2 although:1 substitution:2 gibbons:2 deletes:1 stichting:1 kinematical:1 carried:1 saddle:1 freedom:1 discussed:1 dependence:1 mixes:1 compatible:1 covariant:2 ceresole:1 plus:2 obeys:5 d60:1 cambridge:1 presence:1 into:3 within:1 rotations:1 negative:1 down:2 gomes:1 square:1 references:3 einstein:5 frames:1 rosseel:3 spinors:1 nunes:1 van:6 classical:1 there:8 why:1 borel:6 way:3 was:10 gij:17 function:5 hawking:2 form:4 triangular:1 amongst:1 auria:1 volume:1 hi:2 link:1 line:10 truncation:2 vectorfield:1 coset:17 cosmol:1 intuitive:1 contracting:1 whether:2 minkowski:1 gravitational:1 variations:3 up:1 us:2 sami:1 uk:1 malik:1 autonomous:1 more:3 similar:1 called:2 skenderis:4 ab:2 constant:6 ag:1 ai:1 curvatures:2 abstract:1 describe:3 determinant:1 proven:3 general:16 ap:1 single:9 exist:1 dλ:2 supersymmetric:1 curl:3 formalism:3 identities:1 check:3 constructed:1 friedmann:3 functions:1 nl:1 integrability:2 no:4 2dy:1 exception:1 field:25 other:4 appearing:1 brings:1 massless:1 operators:2 nice:1 conclude:1 alternate:1 repeat:1 denote:2 models:2 dall:1 variation:2 ξi:1 a2:1 unless:1 structure:1 algebraic:1 implies:3 dφ:1 ferrara:1 dτ:3 pseudo:32 4p:2 having:1 eαi:1 weights:3 fact:1 time:15 original:1 representative:4 |
0704.1654.txt |@word aguilera:1 caused:1 suggests:1 results:11 four:2 quadrature:1 edu:1 contributions:1 careful:1 calculate:1 albrecht:3 caldwell:3 white:1 2004b:1 2004a:2 present:1 tf:2 cahn:1 must:2 case:4 worse:1 fynbo:1 continues:1 teodoro:1 every:1 candia:3 affect:2 difference:2 deustua:1 jha:14 entire:1 level:2 3h8:1 michael:1 cmb:4 large:17 pbf:4 small:4 lever:1 guy:1 noted:1 smaller:2 force:1 regnault:1 garnavich:3 riess:10 musella:1 consistent:1 bacon:1 direct:1 second:2 street:1 castro:1 chen:1 further:2 estimated:1 λcdm:3 will:1 ˆr:1 errors:3 appear:1 selected:1 filippenko:3 current:2 version:3 above:2 new:1 method:2 edited:1 high:3 degree:1 respectively:1 promising:1 component:3 residual:3 here:5 understanding:1 explore:1 fiorentino:1 aubourg:1 address:3 directions:1 iras:6 along:1 standard:1 equations:1 change:3 obtained:1 institute:1 study:2 studied:1 typically:1 ignoring:1 prior:8 survey:6 published:1 proportionality:1 studies:3 plotted:1 composed:1 casertano:1 saunders:1 scales:4 apr:1 problematic:1 photometric:3 technologies:1 apj:10 hardy:1 should:1 relating:1 pscz:4 use:6 figure:5 would:2 remains:1 campusano:1 hudson:17 predictions:3 strauss:3 comparing:3 asses:1 call:1 cappellaro:1 conley:5 type:4 theoretical:1 more:4 flat:2 hu:1 knows:1 comparison:3 corrected:3 lightcurve:2 varying:1 waterloo:2 sample:10 sutherland:1 equation:2 work:1 reproduce:2 values:8 following:1 scatter:1 numbers:1 claim:1 compare:2 cosmological:21 pastorello:1 predict:1 impair:1 srl:1 arise:2 blvd:1 sidney:1 discussion:1 dependent:1 pure:3 instead:1 parameter:6 noisiness:1 fp:2 overdense:1 sne:18 galactic:1 may:1 βc:4 derived:6 confirmed:1 diagram:1 corrections:6 produce:1 mag:1 fits:12 data:10 uwaterloo:1 marginalize:1 attempt:1 third:1 resemble:1 snls:1 offsets:3 cosmology:12 encompassing:1 accelerated:1 cannot:1 so:1 sn:13 fundamental:4 order:1 barbon:1 produces:5 sollerman:1 perlmutter:3 a06:15 held:1 thermal:2 nelan:1 motions:1 differs:1 existence:2 avenue:1 its:2 galaxy:4 observational:1 style:1 derive:1 group:2 fit:16 chosen:1 masses:1 underdense:1 coordinates:1 better:1 absence:1 compelling:1 fig:3 total:2 clusters:1 schmidt:2 versus:1 treating:1 them:1 good:1 greater:1 introduce:1 effects:2 they:3 nor:1 down:1 february:2 alex:1 brightness:1 james:1 university:5 traced:1 advent:1 wegner:1 theory:2 reasonable:1 each:7 found:3 feldman:3 photometry:1 mean:2 homogeneous:3 significantly:2 challenged:1 miknaitis:2 list:1 energy:3 gaussian:1 used:11 eisenstein:2 measurement:1 our:6 out:2 canada:2 shown:1 goldhaber:1 gridded:1 quantify:1 astier:4 since:2 rev:2 factory:1 increase:1 re:2 vector:2 gov:1 correct:7 hogan:1 common:1 after:1 linear:3 tully:3 favored:4 rmax:5 galaxies:6 given:3 free:2 refit:1 cartesian:1 california:2 term:3 basa:1 likelihood:1 generate:1 hubble:6 derivation:1 favoring:1 could:2 frenk:1 times:2 motion:2 plane:3 refinements:1 hence:5 assign:1 first:6 demonstrating:1 probability:1 perturb:1 number:1 bartlett:1 least:1 directly:1 quality:3 george:1 biasing:1 surveys:4 perturbation:2 likely:2 needed:3 introduction:1 adopted:1 vasey:4 their:7 assumption:4 draft:2 observations:1 saint:1 giovanelli:3 antilogus:1 structures:1 final:1 adopts:1 hui:4 persson:1 willick:2 suntzeff:5 than:8 toronto:2 distance:3 princeton:2 bubble:7 measured:1 zero:3 project:1 amplitude:1 were:1 tonry:3 hewitt:1 enforced:1 qold:1 lines:1 correction:3 measure:3 stubbs:2 seo:1 headings:1 flatness:1 σint:1 constrained:1 fabbro:1 marginalizing:1 aside:1 note:2 phillips:5 fitting:4 potential:3 take:1 davies:1 caltech:1 added:1 unless:1 copin:1 who:2 accurately:1 most:2 letter:1 sfi:1 coil:1 nuisance:3 analytically:1 gridding:1 latex:1 especially:1 considered:1 adopt:1 statistic:3 km:12 typeset:1 proceedings:2 accounted:3 refining:1 pattern:1 velocity:21 constrain:1 physics:1 gold:1 show:1 random:2 discovered:1 relation:1 barris:1 find:5 impact:2 based:1 knowledge:2 parameters:29 implementation:1 crosscheck:1 outside:1 peculiar:35 analytic:2 only:1 wood:4 employed:1 bernstein:1 local:27 pointed:1 do:1 over:8 mobasher:1 dominant:1 tracers:1 albeit:1 krisciunas:5 kamionkowski:1 de:1 preferred:1 made:1 listed:1 closely:1 report:2 compute:1 freedman:1 m5s:1 overdensity:1 arxiv:1 scoccimarro:1 summary:1 greene:4 blanton:1 predicted:2 bao:8 fixed:1 explanations:1 moduli:1 set:4 thesis:1 frame:3 respect:1 plausible:1 see:5 legacy:2 result:2 converting:1 corrupt:1 arm:1 best:1 subject:2 surfaces:1 αs:3 ways:1 marginalization:1 underdensity:3 currently:2 dipole:5 state:1 cooray:3 radburn:4 approach:1 15th:1 recently:2 sparsely:1 extend:1 adding:1 yahil:2 supernova:5 points:1 however:4 diercks:1 harvard:1 hypothesis:1 huth:1 fluctuations:2 distinguish:1 efstathiou:1 improve:2 both:1 essentially:1 improved:1 uncertainty:3 according:1 ln:2 improves:1 figures:2 mildly:1 contribution:1 among:1 point:3 color:1 sky:3 ca:4 others:2 sampling:1 cz:2 haynes:2 table:6 esin:1 watkins:3 forms:1 pp:1 described:1 west:1 due:6 been:2 much:1 challis:4 indicators:1 combine:1 ph:8 abstract:1 nugent:2 describe:2 coherence:1 bulk:4 coherent:3 dramatic:1 masters:2 systematic:13 spie:1 blois:1 general:1 those:2 applied:1 supernovae:3 value:2 aim:1 while:4 b05:8 b07:9 error:8 aviles:1 discoveries:1 procedure:2 larger:2 n2l:1 3g1:1 thus:2 aldering:4 bias:1 noao:1 dekel:1 ia:6 limit:1 technology:1 different:6 sensitive:1 intrinsic:1 same:4 html:1 largest:5 avoids:1 resulting:2 several:1 showing:1 independent:1 literature:1 http:2 effect:9 flows:6 phd:1 inhomogeneities:1 uses:1 bongard:1 tyson:2 normalization:1 recent:2 task:1 scenario:8 largely:1 modeled:1 davis:1 analysis:2 telescope:1 components:1 consistency:1 model:27 arising:2 ferguson:1 distances:3 carlberg:1 quoted:3 less:2 percent:1 observed:4 rest:2 sources:3 shape:1 distant:5 ωm:19 previous:2 sampled:1 preprint:8 density:10 hamuy:3 extra:1 smith:8 emphasis:1 simple:2 add:1 pasadena:1 extends:1 schommer:1 clocchiatti:3 5b:1 explained:1 insensitive:2 wolff:2 rencontres:1 couple:1 possible:3 dark:3 knop:2 press:2 using:13 moreover:1 zehavi:3 like:1 electronic:3 velocities:17 detf:2 roth:1 yields:2 fully:1 become:1 reduced:1 because:2 methods:2 briefly:1 recommendation:1 pain:1 kirshner:4 provided:1 scale:18 stronger:1 demonstrates:1 measurements:1 overlap:1 does:1 provides:2 assuming:1 sdss:1 presented:1 biased:1 uncorrected:1 fnal:1 aj:8 agreement:2 expansion:3 carpenter:1 host:1 biases:1 analyses:2 emulateapj:1 permitted:1 pike:5 lucey:3 constraint:1 universe:4 discussed:2 dependence:1 strolger:3 range:5 slightly:2 significant:1 springob:1 redshift:8 into:1 within:6 three:5 assess:2 lies:1 inapplicability:1 references:1 altavilla:2 often:1 uncertainties:2 span:2 additional:3 few:2 assumed:3 there:2 redshifts:2 dispersion:3 low:5 way:1 ed:2 analyze:2 was:4 maza:1 assumes:3 insensitivity:1 form:1 but:2 sophisticated:1 astro:10 mnras:5 line:1 subtracted:1 volume:1 hogg:1 datasets:1 applying:1 inside:1 systematics:4 huchra:1 scranton:1 below:1 exploration:1 demonstrate:2 distribution:1 monopole:1 similar:1 called:1 expect:1 strongly:1 constant:2 moore:1 flow:25 universal:1 year:2 evidence:2 thomsen:1 examine:1 exist:1 gilliland:1 branchini:5 sarkar:2 physical:1 again:1 compared:3 no:12 dashed:2 when:3 nf:11 field:11 other:5 balam:1 test:2 unbalanced:1 dale:1 stat:1 peebles:2 prieto:1 benetti:1 hannestad:1 models:17 nichol:1 variation:1 important:2 coverage:2 variable:1 fisher:3 marconi:1 structure:5 anthony:1 calls:1 utoronto:2 neill:4 together:1 depth:1 mass:2 adam:1 requires:2 having:3 |
0704.1655.txt |@word consider:1 focus:1 four:2 consists:1 increase:1 under:1 case:1 outside:1 very:1 sons:1 experimentally:1 entire:4 school:1 presented:1 solution:1 large:3 team:1 small:1 noted:2 programme:2 concluded:1 force:1 findings:1 sin2:1 direct:1 go:1 second:2 tev:2 even:1 what:3 suc:1 stands:1 sun:1 section:1 pandey:1 foregoing:1 uniform:1 liberated:2 experiment:2 above:4 scientists:1 new:4 full:1 gravitation:2 never:1 reported:1 mev:2 operating:1 address:1 november:1 equations:1 fireballs:3 cern:7 study:2 action:1 opinion:1 studies:1 emerge:1 retired:1 gluons:3 tau:1 apr:1 aps:1 explained:1 highly:1 neutrons:2 gluon:5 viz:1 quenching:2 planck:1 asymptotic:1 few:2 nucl:1 therefore:4 qcd:1 type:1 more:7 ramond:1 started:1 yahoo:1 particular:1 continual:2 hole:5 tampa:1 alia:1 equation:1 protons:2 mh:1 remain:1 obvious:5 temperatures:2 mr:1 gravitationally:10 ions:3 give:1 process:1 ds2:1 india:2 high:1 collision:1 assumptions:1 validated:1 occur:2 terrestrial:6 goal:1 ravishankar:1 rather:1 acts:3 length:1 far:1 hot:1 instead:1 de:2 may:3 earlier:1 ultrahigh:4 consequence:1 shukla:2 produce:1 inconceivable:3 data:1 lhc:2 liquid:3 light:1 cosmology:1 maintain:1 negligible:1 fundamental:1 sc:1 fireball:1 talk:1 brahms:2 constituents:1 produced:1 held:1 experiments:2 through:2 signs:1 mentioned:1 existence:2 its:5 before:1 lf:1 manuscript:1 energies:5 relativity:1 decreases:3 qgp:25 meantime:1 detected:1 production:1 compelling:1 systems:1 strange:1 eventually:3 greater:1 thereby:1 hypercharge:1 now:1 yw:1 chromodynamics:1 february:2 always:1 university:4 magnitude:2 each:2 crossing:1 higher:3 heavy:1 accelerator:10 hadronic:5 series:1 energy:16 einstein:1 society:1 weinberg:1 isospin:1 quantum:1 laboratory:3 happen:1 event:1 shown:4 acknowledgment:1 since:3 rev:1 research:3 particles:16 collisions:4 occurs:2 after:1 theory:2 interactions:2 quark:7 formation:1 york:2 pune:1 interaction:1 r2:2 created:4 collapsing:11 transition:10 florida:1 times:6 introduction:1 american:1 proportionality:1 hence:3 hadrons:2 top:1 first:1 there:1 symmetry:1 reaches:1 hitherto:2 another:1 8πgρ:1 reached:2 miss:1 size:1 given:2 temperature:17 jet:2 phenix:2 leading:2 interact:2 system:1 their:2 typing:1 dt2:1 hundred:1 shifted:1 collapse:4 geneva:1 acquire:1 electroweak:1 released:3 part:1 than:5 distance:1 john:1 succeeded:1 collaborations:1 submitted:1 matter:20 were:2 wiley:1 result:1 m2:1 ann:1 dθ2:1 elsevier:1 any:10 self:1 ephemeral:3 equipment:1 converged:1 so:6 detector:3 heisenberg:1 broglie:2 centre:3 object:6 viscosity:1 involving:1 charm:1 plenty:1 phase:9 colliding:1 observation:1 considered:1 clear:1 yang:1 electrons:1 principle:1 brookhaven:1 physics:3 fact:1 gold:4 probe:1 infrared:1 gauge:2 proportion:1 state:1 only:1 going:1 black:9 factor:1 thousands:1 gev:5 beams:2 simplest:1 beam:1 cannot:1 words:1 report:1 during:4 dr:1 gen:1 densities:1 countries:1 arxiv:1 comprising:4 teams:1 predicted:2 gravitational:4 view:1 reference:1 national:1 spherically:1 detection:1 namely:1 individual:1 college:1 european:1 accelerators:1 institutes:1 said:1 interacting:2 nuclear:5 continually:11 symmetric:1 enough:2 permeated:5 between:2 email:1 available:1 perfect:1 creating:1 nature:1 weak:2 however:3 key:1 freely:1 density:4 equal:1 april:1 context:1 com:1 arbitrarily:1 presumably:2 co:2 cm:3 simple:1 smashing:1 grants:1 moreover:2 resorting:1 collider:3 pt:2 addition:1 create:2 absence:1 been:4 commission:1 much:3 muons:1 ph:1 meeting:1 isolating:1 life:1 corresponding:3 gas:1 understand:1 general:2 spin:2 those:1 p2:2 pacs:1 will:17 momentum:3 uncertainty:1 almost:1 metric:1 thus:3 iw:1 comoving:1 inhibiting:1 ready:1 westfall:1 author:1 wherein:1 complex:2 largest:1 units:2 difficult:1 ball:1 effect:1 hand:1 ion:2 dust:1 opportunity:1 weakly:1 changes:1 colour:2 well:4 deconfinement:2 obviously:1 without:3 organization:1 laboratories:5 researchers:1 newest:1 less:1 being:2 mills:1 vacuum:1 rest:2 dφ2:1 thanks:2 thakur:2 λh:1 speed:1 preprint:1 upton:1 lattice:1 treatment:1 bnl:2 plasma:5 ought:1 colony:1 possible:1 increases:6 denser:1 confined:1 using:1 unique:1 rhic:6 like:1 particle:13 alternatively:2 alice:1 consensus:1 follows:5 inter:3 because:4 spring:1 creation:4 back:3 accelerate:3 escape:2 indirect:1 neglecting:1 happens:1 delivered:1 scale:3 lead:3 bottom:1 quarks:6 does:1 demonstrated:1 run:3 bh:28 pressure:1 leptons:7 properties:1 hadron:1 stage:2 world:1 freedom:1 months:1 nothing:1 horizon:1 efforts:1 consequently:5 road:1 into:3 bound:1 down:2 pair:1 references:1 gary:1 theoretically:2 relativistic:1 phobos:2 long:1 ordinate:1 start:2 low:1 way:1 astrophysics:1 naturally:1 head:2 form:5 hs:4 hp:1 sequel:1 but:2 heat:1 collapses:3 he:1 made:1 inside:2 up:2 converted:2 limit:1 professor:2 strongly:1 celestial:2 constant:3 abstract:1 evidence:3 ar:1 wavelength:2 lifetime:1 physical:2 again:1 mutual:1 no:1 when:7 field:1 nq:1 conclusion:1 star:2 energetic:1 june:1 generated:2 allowing:1 suppression:2 astronomy:1 conclusive:1 longer:1 holes:4 lasted:1 together:1 equivalently:1 mass:1 time:2 having:2 once:1 |
0704.1656.txt |@word neighbors:1 limited:1 monte:1 ui:5 customary:1 baur:3 chain:2 rev:45 magnetic:5 results:27 existing:1 leads:2 concept:1 higher:6 cooperative:1 mila:1 go:1 questionable:1 revealed:1 centers:6 localized:3 soc:15 kh:2 inverse:1 depend:1 calculate:1 vettier:1 description:1 containing:1 intensive:1 quasi:15 critical:5 tanaka:1 25t:8 under:2 stochastic:1 include:3 alternations:3 hee:3 indicating:4 alternating:2 eiq:2 conjecture:3 methyl:1 lations:1 straightforward:1 antiferromagnetism:1 very:5 frequencies:1 hirsch:3 rise:3 springer:1 wave:11 oxides:1 electron:10 brooks:1 figs:7 decide:1 summarized:2 inequivalent:1 affect:1 voit:1 difference:8 exact:8 groups:1 four:1 foo:1 obvious:1 hamiltonian:10 louis:1 applicable:2 correct:3 large:11 kondo:1 multiplicities:2 small:9 enhance:1 referred:2 ohashi:1 dimer:12 concluded:1 upper:1 smaller:10 force:1 occurrence:8 trend:1 tea:1 consistent:3 kato:1 visser:1 fradkin:1 miyagawa:1 imply:4 enhancement:1 equal:1 statistically:1 further:8 qmc:8 rectangular:1 carlo:1 canonical:1 even:13 established:2 what:5 errors:1 adds:1 appear:3 kanoda:4 section:12 interactions:17 brief:2 expressed:1 uniform:10 cell:1 tmtsf:7 dimerized:11 above:18 nishimoto:1 new:2 increasing:11 method:3 filled:43 3d:2 dimerization:10 bi:2 full:1 simultaneously:1 lee:1 exchange:2 mem:3 respectively:6 cal:1 component:3 here:16 understanding:2 highly:1 reported:1 2kf:53 them:3 ωs:8 separation:1 nakazawa:1 along:9 strong:17 appears:2 change:2 extreme:1 obtained:5 cobaltate:1 parameters:12 cts:25 shift:2 leaves:1 larger:23 reason:2 commonly:2 bow:18 suggests:2 bcdw:38 periodic:4 unpaired:2 published:1 usually:1 barely:1 narrow:2 changes:4 undistorted:2 involves:6 plotted:5 composed:1 matos:1 although:3 family:3 scales:1 valence:1 semiconductors:1 explained:3 while:11 anticipate:1 modifying:1 kuwabara:1 weaker:4 decrease:2 anions:1 pf6:12 apply:1 orderings:1 total:4 unit:4 wang:1 tn:4 use:2 eye:2 figure:2 would:8 prove:1 distinct:5 positive:2 jpn:14 petroleum:1 charge:92 next:7 few:1 monotonically:1 therefore:6 distortions:5 taken:1 scope:2 associated:1 type:17 theoretical:8 reflects:2 more:9 chem:1 lowering:2 rich:11 deuteration:3 solitons:7 operators:1 apparent:1 ascribe:1 validity:1 kagoshima:1 afm2:7 unresolved:2 particular:2 known:5 cases:8 iii:10 sawa:1 must:6 high:12 keeping:1 preponderance:1 room:1 illustration:1 recall:2 marezio:1 work:7 modified:1 theories:3 reproduce:1 remain:3 pouget:6 below:10 temperatures:4 ms:1 widths:1 following:4 making:1 spontaneous:1 example:5 sorensen:1 performed:1 nearest:5 compare:1 persists:2 challenging:1 indicated:2 electronic:1 calculation:1 kρ:7 ann:1 saito:3 states:18 indicates:6 numbers:1 degenerate:1 magnitudes:1 standard:7 hydrogen:1 occur:11 salts:3 axis:2 penc:1 afm:12 needs:1 six:1 end:1 scenario:1 discovery:1 carriers:1 rather:2 intradimer:1 hol:1 temperaturedependent:1 feature:1 regions:6 how:1 pair:2 thermodynamics:1 opposite:4 answer:1 instead:2 those:1 verlag:1 parameter:17 ensemble:1 sato:1 applicability:1 coulon:3 mat:2 may:5 thermodynamic:1 after:1 derived:1 confirmed:2 cation:1 diagram:9 applications:1 modest:1 studies:3 ung:1 data:3 excited:2 considerations:2 period:1 sz:26 short:1 natural:1 third:1 vanadium:1 slightly:1 sp:74 lines:2 correspond:2 su:2 bourbonnais:1 their:3 perhaps:1 broaden:1 promotes:2 negligible:1 temp:2 decreasing:2 representation:1 anionic:2 dressel:1 order:15 se:1 nearly:3 least:1 wigner:39 ith:1 correlation:2 indeed:1 over:6 insight:1 di:1 choose:1 distortion:3 sse:5 thermal:1 experiments:8 kawamoto:2 statistical:1 experimentally:1 existence:1 alavi:3 excitations:21 its:2 tendency:3 perfect:1 chemical:1 yu:3 probability:1 sodium:1 energies:1 interesting:1 fix:1 presence:2 decreases:5 actually:2 asf6:8 detected:1 lr:1 systems:7 insulator:1 toussaint:1 decreased:1 decades:1 no:5 tsp:10 versus:2 spinless:2 heisenberg:1 thereby:2 fukuyama:1 obtaining:1 isolation:1 material:2 reflected:1 scaling:1 band:31 walls:2 interdimer:3 effects:5 they:5 acta:3 own:1 1b:1 sρ:3 now:9 semiconducting:1 discuss:5 dielectric:1 zcomponent:1 straddling:2 easily:1 february:1 finite:6 anion:1 hereafter:4 zotos:1 always:1 university:2 presented:1 arrows:4 k41:1 ogata:3 dominance:1 realistic:8 filling:1 magnitude:1 mode:1 reasonable:1 each:4 crossing:1 accompanied:7 entirely:1 quarter:1 yamauchi:1 bond:44 el:1 domain:3 fail:1 heeger:2 instability:5 generation:2 ed:3 energy:7 4b:2 related:4 constitute:1 society:1 literature:1 expect:1 entering:3 changed:1 quantum:2 our:42 chargetransfer:1 eq:12 ny:1 out:3 conjectures:3 emerges:1 ultimately:2 dominates:5 driving:1 space:3 spectrum:1 bosonic:1 furthermore:2 since:9 crucial:2 configuration:2 research:2 increase:6 modulation:2 vector:1 dominated:3 theoretically:1 denoted:1 dominate:4 cause:1 occurs:3 math:1 shows:2 seki:1 condens:2 arizona:1 theory:10 state:92 divergence:2 free:7 diagnostic:1 completely:1 formation:2 term:1 members:1 consequences:1 likelihood:1 universally:1 wall:1 pairs:3 interaction:15 organic:6 principle:1 argument:1 substantiate:1 could:2 transition:29 used:1 creates:1 ordering:5 american:1 sandvik:3 place:1 mckenzie:1 st:1 transfer:1 consequence:3 undergo:3 bonded:1 eqs:1 first:4 exotic:1 singleton:1 already:2 kim:1 symmetry:2 ignored:1 cj:2 number:4 system:10 restrict:1 done:1 defects:16 directly:5 reached:3 ring:3 precisely:1 open:1 intermolecular:8 size:4 given:6 necessarily:7 temperature:22 likely:4 similarly:2 introduction:1 leading:1 cationic:7 gpa:1 occupancy:5 1a:16 indicate:5 1c:1 intermediate:19 pins:1 1d:24 calculations:21 susceptibilities:10 white:1 molecular:4 final:1 speaking:1 gives:1 enhancing:1 explanation:2 exactly:8 generate:5 too:1 silverman:1 hennion:2 believe:5 than:12 modes:4 begins:1 relative:2 kind:1 polarized:1 determines:2 effective:5 characterizations:1 double:1 require:2 second:5 limiting:1 annihilation:1 matter:2 determined:7 doubly:1 str:1 were:1 naturally:2 treated:1 peierls:7 exhibit:1 lowest:6 motivation:1 vacant:1 symmetries:4 enhanced:1 remained:1 unchanged:2 conventional:1 locations:3 nakamura:10 neel:1 arrow:1 close:3 need:1 seen:3 turn:2 occupied:1 clearly:3 arbi:1 relatively:6 ueda:2 lie:5 strength:2 zero:6 depending:2 thoroughly:1 latter:2 able:1 mechanism:3 montgomery:1 note:3 sciences:1 dispersionless:2 take:2 online:4 schematically:1 strengths:1 reversed:2 persistence:1 δnj:1 4kf:60 begin:3 added:1 multiple:3 investigations:2 vibration:1 enter:1 techniques:1 co3:1 singlet:10 leave:1 most:10 involving:2 importantly:4 chi:1 significant:2 phase:34 luttinger:2 intrinsic:6 pages:1 exponent:3 soliton:1 deviations:3 ong:1 observation:8 surprising:1 characterizes:1 considered:1 neighboring:1 clear:4 partition:2 metal:1 kn:1 χx:1 ks:2 qualitative:2 points:1 electrons:3 χb:20 pictures:1 holstein:6 αc:2 physics:5 nogami:1 fact:1 sector:1 thomas:1 particularly:1 microscopic:1 show:9 text:1 mott:1 physique:2 dependences:1 discussion:3 purely:4 cdw:4 references:2 fermions:1 superimposed:1 conclusion:4 find:3 balicas:1 ground:22 finally:2 based:8 spite:1 consistently:2 explain:2 outside:2 supported:1 should:5 values:3 phillips:1 only:15 explicitly:4 black:1 brown:4 molecules:4 factor:1 equivalents:1 sengupta:1 population:1 local:3 alternation:6 equilibrium:1 characterization:3 do:5 predict:2 dominant:3 cowan:1 bonds:6 dependent:12 liquid:2 intersite:6 de:1 overall:1 carruthers:1 obtain:1 cannot:3 ssh:6 shown:9 report:4 cdws:1 takahashi:2 honma:1 gray:1 regarding:2 exhibiting:1 mattis:2 densities:7 progressive:1 arxiv:1 pascal:1 yield:1 summary:4 imposed:1 investigate:1 paper:3 li:1 contrast:6 though:1 sbf6:9 implication:1 fixed:1 occupy:2 graf:1 inferred:1 enhances:2 bars:3 set:5 aspect:1 exists:3 sep:1 undergoes:2 correlations:7 tcnq:5 bechgaard:1 yoshioka:2 observed:4 isotope:1 see:6 individual:1 intramolecular:3 result:4 ignores:1 discussions:4 terms:3 dumm:1 merino:1 incorporating:1 reproduced:1 closer:1 phases:13 error:2 spindependent:1 interacting:3 ωh:9 phonons:5 pattern:4 review:3 currently:1 rings:1 sites:31 diverge:2 chakraverty:1 written:2 smallest:1 identification:1 chosen:2 between:36 probably:2 boundary:1 approach:2 wide:1 hence:1 comparable:3 triplet:5 recently:1 amplitude:1 vertical:1 nature:7 suppresses:1 weak:18 however:5 interpolate:1 ramasesha:1 york:1 comm:1 answers:1 key:3 pertain:1 atoms:1 come:1 affleck:1 suggested:2 both:16 scalapino:1 numerically:1 many:4 region:14 conclusions:3 galanakis:1 packing:1 comment:1 etc:1 negative:1 dated:1 surprises:1 exceeds:1 beyond:2 argue:2 ll:2 experimental:5 arbitrarily:1 strongly:1 presumably:2 relevant:2 co:45 extent:1 point:6 simple:1 character:2 coexistence:2 dimensional:5 maintained:1 diverges:1 simply:2 framework:1 noncentrosymmetric:1 largest:1 monceau:3 broadening:1 unusual:1 applies:1 described:2 deuterated:1 addition:1 yamaji:1 create:1 locally:1 due:5 been:15 defined:2 much:6 interest:6 certain:1 expected:7 degrees:3 tsuchiizu:1 fig:57 led:1 sjz:2 arises:1 resultant:1 deeper:1 restrictions:1 quantities:1 sufficient:1 formed:1 subspace:8 ray:1 defect:14 bulk:1 fund:1 dramatic:1 understand:1 specifically:1 systematic:2 bull:1 evidence:1 spin:78 former:2 present:14 case:17 deviation:2 exception:1 novel:4 ishiguro:1 unlike:1 pacs:1 solid:2 steep:1 appearance:1 value:7 schrieffer:2 will:16 near:5 replaced:1 behavior:9 interchain:6 investigating:1 pressure:10 fluctuating:1 couplings:12 loop:2 ization:1 identical:1 vb:3 vc:42 concomitant:1 coupled:1 almost:2 vi:3 thus:8 site:45 iv:5 ii:18 characterize:1 superconducting:1 vs:3 cond:1 against:1 ambient:2 types:1 zhang:1 fermion:2 acknowledgments:1 siz:2 different:30 hubbard:2 verified:4 grant:1 generic:1 suggest:1 make:6 coexisting:4 cross:3 same:18 any:6 member:1 another:2 simultaneous:1 arguments:1 schematic:2 grand:1 units:18 several:4 showing:1 neutron:3 difficult:2 independent:1 investigated:1 unconventional:2 again:2 assignment:1 reverts:1 numerical:2 upon:7 effect:6 driven:1 principally:1 insulating:2 compared:1 rep:1 poilblanc:3 infinite:1 caption:1 stack:3 reference:2 recent:3 tmttf:29 correspondences:1 lower:3 center:1 hopping:3 largely:1 charges:7 onedimensional:1 disproportionation:3 well:9 finds:1 patterns:1 solids:4 materials:4 solve:1 comparisons:1 model:5 redistribution:5 self:3 corre:1 usual:2 distances:2 wavefunction:1 intra:1 proposed:2 less:2 being:2 captures:1 accurate:1 bottoms:1 superconductors:1 ci:3 acknowledge:1 assigned:1 tco:18 underlying:1 identify:4 questions:4 schlenker:1 campbell:6 cava:1 scattering:1 yet:3 previous:6 adding:1 unique:2 density:17 mcdonald:1 similarities:1 alternate:2 had:3 except:2 wavevector:1 lattice:8 interested:1 deliberately:1 lett:14 cations:1 diagonalization:2 extensive:1 sorai:1 merely:1 torrance:1 real:1 2t:1 smax:4 dimers:1 increased:2 depends:2 susceptibility:11 conclude:2 hawley:1 sectors:1 mazumdar:6 absence:4 possible:8 repulsions:1 corresponds:2 possibly:1 increases:4 makes:2 background:4 guide:1 step:1 using:2 accepted:1 color:4 like:1 semiclassical:1 necessary:3 particle:1 excluding:1 sizes:2 follows:4 interestingly:2 adiabatic:4 ignore:1 reasons:1 continue:1 indication:1 either:10 clay:7 become:1 seo:6 works:1 reduced:2 spins:7 therein:1 pertaining:1 because:6 often:1 sequence:1 revert:1 motome:1 creation:2 some:2 isoenergetic:1 competition:3 jr:1 understood:2 towards:1 examples:1 complete:1 mean:2 pedrini:1 synth:1 ferroelectric:1 nonzero:3 choi:1 lead:6 sufficiently:1 vibronic:1 avoid:1 measurements:2 extensively:1 per:2 isobe:1 when:4 does:9 kobayashi:2 provides:2 prog:1 steps:1 counterions:4 three:1 t18:1 refer:2 riera:2 process:1 nmr:1 nonuniform:2 slight:1 demonstration:1 equivalent:4 instabilities:3 agreement:7 expansion:1 itou:1 cryst:3 broken:8 evolve:2 reduces:2 br:5 found:9 guides:1 2n:1 earlier:3 noisy:1 gained:2 comparison:2 inter:1 actual:1 ferromagnetic:2 coexist:1 freedom:2 discussed:6 dependence:4 o:3 essential:1 remains:3 range:7 repulsion:3 neighbor:5 chow:1 mixed:1 choy:1 illuminating:1 2k:1 denote:2 bloch:1 functions:2 lieb:2 cutoff:1 raised:1 computational:3 almeida:1 inclusion:2 previously:1 furukawa:4 into:6 within:25 splitting:1 bound:2 signature:2 lies:3 appropriate:1 straddle:1 accounts:1 determine:4 powell:1 binding:1 counterion:2 circles:2 physical:2 significantly:1 performing:1 mississippi:2 comparing:1 assumed:1 strictly:1 there:12 question:1 long:2 fully:1 width:2 mori:3 low:26 frustration:1 series:2 was:2 opposed:3 function:9 considerably:4 sdw:1 perplexing:1 elsewhere:2 form:3 enough:1 overlaps:2 differences:2 denoting:1 triangular:1 but:19 displacement:1 kumagai:1 wakabayashi:1 lowered:2 hara:3 line:1 promote:1 true:2 especially:1 directed:2 absent:1 zeeman:1 dme:2 intuitive:2 whether:2 antiferromagnetic:6 cells:1 harrison:1 until:2 crystal:37 tucson:1 limit:7 diagrams:2 shibata:1 occupancies:24 demonstrate:7 distribution:1 panels:3 similar:7 average:3 strengthens:1 regimes:3 detailed:3 centrosymmetric:2 ordered:1 conserves:1 ag:2 henriques:1 ai:2 stronger:3 describe:2 am:1 metals:1 general:2 resolve:1 intimately:1 single:7 exist:3 together:1 wavelength:1 families:1 az:1 distributions:1 calculated:5 regime:16 dixit:1 ni:9 nj:2 transitions:4 nad:3 variety:1 amounts:1 fg02:1 populations:9 generally:1 paradoxical:1 haas:1 field:4 other:7 role:1 details:1 spatial:2 department:3 ohta:1 belong:6 ev:1 poor:8 picture:2 briefly:1 kinds:4 generates:3 separate:1 models:1 fabre:1 symbol:1 uniformly:1 update:1 includes:1 evolves:2 brazovskii:1 important:3 peak:5 studied:1 included:1 fisher:1 astronomy:1 structure:2 vi2:1 mysteries:1 implies:4 coupling:12 coulomb:18 assume:1 requires:3 dτ:1 diffraction:1 localization:1 stacks:3 phonon:6 afm1:14 compete:1 4k:1 analog:1 time:1 qualitatively:1 observables:1 saso:1 nonessential:2 starting:1 having:2 proximate:1 4a:2 |
0704.1657.txt |@word yamaguchi:2 precise:2 gu:1 quarks:1 gs:2 consider:2 superconformal:4 lagrangian:2 magnetic:1 global:3 focus:1 integration:1 four:2 scalar:5 llm:4 cτ:7 localized:1 whose:2 preserves:4 depend:1 calculate:2 tr:3 young:1 nonlocal:1 must:5 program:7 preserved:7 th:27 under:21 include:1 4ni:1 probe:2 string:13 ηm:2 very:2 rise:3 translations:1 induce:1 geometrical:2 d5:1 witten:7 every:1 matrices:2 condition:4 leads:1 fivebranes:1 encodes:1 schwarz:1 solves:3 positions:2 integrating:2 solution:27 occurs:1 large:5 discrete:2 differential:1 flp:2 manifestly:1 eigenvalues:3 becker:2 inspection:1 configurations:1 zl:2 upper:1 mn:1 zi:1 ten:9 consistent:2 bubbling:19 sin2:2 lp:3 cosh:1 zero:5 picked:1 further:4 cft:1 spontaneously:1 linear:3 even:1 what:2 disk:3 1n2:3 d2:1 section:12 near:8 d3:2 current:1 lunin:3 experiment:1 poles:1 goes:1 fractional:1 values:11 3g:1 critical:1 codimension:5 satisfy:1 full:2 lee:1 γz:7 respectively:1 kovacs:1 never:2 component:1 here:1 following:4 ansatz:3 sinh:1 alone:1 path:9 along:7 quite:1 equations:14 du2:1 change:2 obtained:9 thirty:1 transition:1 institute:2 study:10 studied:3 leaving:1 amount:2 periodic:1 characterizing:5 permutation:1 action:21 uniquely:2 via:3 useful:1 divide:1 extra:2 explained:2 maldacena:5 acknowledge:1 apply:1 2φi:1 total:1 establish:1 planck:1 unit:5 jaume:1 use:1 takes:3 would:2 remains:1 simons:1 charge:18 next:2 nucl:2 explicitly:2 therefore:20 generators:1 2y5:1 type:27 theoretical:2 electric:1 introducing:1 duality:20 relax:1 becomes:7 operators:56 γl:14 curvature:2 xiao:1 correspondingly:2 perimeterinstitute:2 iib:25 olive:2 hole:1 2πls2:3 rohm:1 r1:18 taub:2 endpoint:1 defines:1 quantized:5 tokyo:1 recall:1 equation:2 work:1 theories:5 quantizes:1 labeled:5 obvious:1 hope:1 pioneered:1 making:1 asymptotic:1 references:1 conformally:1 imτ:3 figure:4 give:2 lives:1 expanding:1 preserving:1 purposes:1 high:1 sphere:1 dxi:5 arise:1 frenkel:1 opposed:1 occur:1 guarantee:1 needs:1 end:1 advantage:1 polchinski:1 turn:1 provide:2 s2:11 s1:25 acts:10 cosh2:1 fibering:6 s5:31 necessary:1 nontrivial:1 behave:1 pure:3 axis:1 parameter:2 sin:1 circular:1 de:3 description:15 singular:10 may:4 singularities:4 dx2:1 collection:1 dx0:2 corrections:1 levi:11 plane:8 ipµ:1 cambridge:2 choice:4 data:8 excited:1 short:1 physical:1 higgs:1 whenever:6 light:1 klebanov:1 chern:1 explicit:1 correspond:1 su:1 element:1 dilaton:1 so:46 specifying:4 fundamental:1 sl:18 representation:2 acknowledges:1 order:6 restriction:1 s3:8 help:1 indeed:1 over:16 dy:2 satisfied:2 interpreted:1 produced:6 thermal:1 paper:5 through:2 same:2 signs:1 existence:1 y2:1 its:3 roots:1 diagonalized:1 laced:1 group:44 symmetry:20 how:1 interesting:1 solving:3 coordinates:11 ds:2 forms:6 absence:1 degrees:2 fig:4 tors:1 derivative:1 main:1 defining:1 conjugacy:4 supersymmetry:6 eur:1 maximal:2 guralnik:1 non:17 gaugino:1 ym:2 yl:17 combination:3 rotations:1 calabiyau:1 collide:1 int:1 scaling:7 framework:2 fiol:1 ls2:2 ηi:2 they:2 half:59 singularity:26 now:8 inversion:2 holographic:1 x0:9 opera:1 characterizes:1 university:3 identified:9 labeling:2 2πls:1 supersymmetries:10 magnitude:1 mode:2 fields:13 x10:1 found:6 identifies:1 characterized:8 constraints:3 heavy:1 inserts:1 domain:1 holonomy:4 formulate:1 energy:4 idea:1 each:3 x20:1 static:1 poincare:10 combining:1 quantum:2 1nm:3 transitions:1 special:6 out:2 canada:1 respects:1 shown:2 rey:1 matrix:8 rr:3 space:9 restricted:2 since:13 crucial:1 research:2 particles:8 acting:3 rei:1 rn:1 induced:1 correct:1 math:4 sinh2:1 fiber:2 turning:1 theory:38 dictionary:6 associate:2 dx3:1 diagonal:1 free:1 φdn:1 remaining:2 completely:4 demanding:2 usual:2 dω5:1 romelsberger:1 generate:2 dω3:4 r4:5 definition:1 unique:1 waterloo:1 r2:5 geometry:23 determining:4 just:1 impose:1 ds2:2 motion:8 equa:1 length:3 produce:1 due:1 signature:1 βl:14 βm:2 first:1 xj:1 xi:2 xl:21 xm:2 omitted:1 variables:4 number:4 rank:3 holography:2 another:1 precisely:1 open:2 aharonov:3 size:6 y02:6 given:35 law:1 periodicity:3 their:1 introduction:1 fl:1 top:1 system:1 construct:6 kapustin:3 imposing:2 fml:1 1b:1 kµ:1 cycle:1 bits:1 nut:2 unbroken:17 1n:5 statement:1 discussion:1 schwarzschild:1 serve:1 gmn:3 transverse:2 part:3 manipulation:1 x2:15 natural:1 translation:1 x1:15 representing:1 than:1 specify:1 βl2:1 connections:1 determines:1 pµ:1 erdmenger:1 see:10 correlators:1 nevertheless:1 determined:9 okuda:1 dx1:2 gives:1 fashion:2 symmetries:17 insertion:3 lines:2 nonabelian:1 defect:1 generalization:1 paramaters:1 manner:1 need:3 seen:2 fµν:2 any:1 wilson:15 strength:3 angle:4 holonomies:3 depending:1 studying:3 lin:3 lp4:6 able:1 gravity:1 note:3 liu:1 take:8 finding:1 green:1 coincide:2 acquires:1 conducive:1 province:1 residue:3 play:2 sm:6 though:1 correlation:1 most:2 regular:3 thank:1 plan:1 polyakov:1 phase:6 acknowledgements:1 class:5 xµ:4 γi:1 constable:1 considered:2 torus:2 later:1 coincides:3 dualities:1 possesses:1 sitter:3 yang:1 mri:1 exp:2 xσ:1 left:4 physics:4 away:1 fact:2 sector:4 show:6 text:1 appendix:6 supported:7 nτ:1 ending:1 gauge:68 solutions:15 integers:1 trivial:11 find:6 homology:1 ratio:1 aτ:2 parameters:44 original:1 analytic:4 only:4 going:1 black:1 rich:1 developed:1 integrate:1 identification:7 circle:5 local:9 axion:1 nj:1 dn:1 abelian:1 dl:20 dm:8 viewpoint:2 means:2 familiar:1 scientists:1 overall:2 da:1 cannot:1 dz:2 new:3 dv:3 γm:1 boundary:20 thus:1 conditions:5 arxiv:26 fixes:1 summary:3 appear:2 imposed:3 contain:2 4πn:2 fixed:2 ql:3 4πi:1 reveals:1 requirement:1 set:3 computed:1 acquired:2 fellowships:1 frame:3 respect:1 calabi:1 opposite:4 depends:9 radius:6 enhanced:3 y0:4 discussions:1 quantizing:1 subject:2 surfaces:1 γi2:1 satisfying:1 tensor:3 worldsheet:3 review:2 supergravity:46 label:3 symmetric:1 written:1 various:2 permutes:1 iγm:1 between:5 αi:1 invariant:35 geometric:7 approach:5 αl:19 discovery:1 ends:1 terms:9 extend:1 complementary:1 complement:1 points:3 killing:4 regime:1 subgroup:9 zω:1 configuration:9 problem:1 topology:5 both:2 cos:1 iγ3:2 iγ2:1 taking:1 iγ0:1 equal:1 nserc:2 quantization:1 instanton:1 context:1 γij:2 fnl:1 cos2:2 kirsch:1 relevant:5 point:21 wall:1 continuation:4 ca:2 asymptotically:13 corresponds:10 dimensional:21 pole:5 simply:1 conjugation:1 γµi:2 associated:6 writing:1 factors:2 shrinks:6 considering:2 combines:1 described:4 submanifold:1 geometries:8 yau:1 sl5:3 chirality:2 three:4 been:2 strategy:1 ai:3 reduction:1 much:1 foliated:1 z2:1 basic:1 proposal:7 hepth:1 holographically:1 pl:9 pm:4 arises:2 corresponding:23 tµν:1 commutes:1 oσ:59 bulk:6 confinement:1 understand:1 curves:1 angles:5 demand:1 krauss:1 c0:1 montonen:2 standard:1 case:4 novel:2 unlike:2 shrink:1 straight:3 expanded:1 value:1 choices:1 euclidean:4 while:11 f5:4 evaluating:2 wild:1 aid:2 di:1 endpoints:1 conformal:21 leaves:1 loop:1 periods:1 iy:1 ix:1 notation:1 larger:1 n2l:1 vi:2 metric:25 formulation:1 tions:1 them:1 surface:120 characterize:2 regularity:2 dual:14 fibration:1 ie:1 generalizes:1 different:6 develop:2 russell:1 grant:1 make:1 lett:2 s2l:4 intersecting:1 shifts:4 complex:4 xj0:1 largest:1 φi:5 φj:2 gets:6 iγ:4 isometries:3 higher:2 perimeter:2 independent:2 used:3 trivially:2 effect:2 sym:46 hand:1 parametrized:1 squared:1 infinite:1 changing:2 invariance:7 jsps:1 identity:2 recent:2 center:1 fully:3 charges:11 length2:1 well:1 bohm:3 contact:2 temperature:1 convenient:1 coordinate:6 position:13 model:1 dimension:3 corre:1 charged:4 isometry:1 manifold:3 background:3 proposed:4 branch:1 being:1 mills:1 yee:1 obtain:3 rest:3 branes:3 identify:4 transforms:1 integer:2 hongo:1 rotates:2 macroscopic:1 previous:3 adv:4 adding:1 sixteen:3 having:1 ads:3 generator:2 bns:13 slices:1 source:1 add:1 extends:1 location:2 contractible:4 transformation:8 momentum:2 real:3 march:1 around:5 rev:4 government:1 read:1 evaluate:2 breaks:2 spanned:1 ope:2 five:17 appendices:1 vacuum:1 press:2 using:5 intersection:1 moreover:1 apart:1 theor:5 appearing:1 like:5 particle:8 follows:8 permuting:3 performing:2 manifest:1 flux:12 bps:55 langlands:11 yields:2 either:1 arbitrary:1 spinor:4 anti:5 δd:1 topologically:6 preskill:2 shed:1 disks:8 classical:10 lectures:1 do:2 some:3 back:1 2y:2 hair:1 tµi:1 2z:13 specified:2 generates:1 happens:2 provided:1 scale:7 describing:6 dimensions:1 eiθ:1 normal:2 vortex:2 get:4 does:2 connecting:6 gukov:4 content:1 straightforward:2 tmn:3 majorana:2 particular:2 gomis:4 radial:1 illustration:1 broken:3 br:13 2m:2 super:1 alford:1 transformations:8 chapter:2 comparison:1 about:1 central:1 constraint:1 freedom:2 discussed:3 generated:6 o:3 carries:1 involving:1 act:4 sethi:1 automatically:1 eφ:1 presence:3 into:4 ηl:20 integral:11 encircling:1 latter:1 down:2 pair:1 appropriate:2 weyl:2 accounts:1 determine:3 einstein:3 operator:84 proportional:2 bosonic:1 spinors:2 ontario:2 hep:24 weight:6 area:1 jhep:9 support:2 there:3 question:2 transform:2 long:2 tame:1 start:1 restricts:1 bianchi:2 way:1 hooft:3 analyze:1 was:4 naturally:1 function:5 complexified:2 runs:2 complete:1 form:26 βi2:1 brane:1 but:2 volume:1 properly:1 mechanical:1 delta:1 implies:1 line:4 made:2 compute:1 whether:1 gravitational:5 smooth:7 up:5 αm:2 limit:4 gubser:1 ix3:1 distribution:3 called:1 drukker:1 constant:6 defined:6 certain:1 abstract:1 describe:1 general:2 globally:1 loops:9 single:1 γl2:1 dθ:5 our:4 supersymmetric:2 az:1 constructed:8 ni:2 functions:1 beyond:1 nl:19 agreeing:2 fixing:1 wavefunction:1 when:8 field:21 passerini:2 other:3 role:2 details:1 tij:1 department:1 ns:4 4z:2 conclude:2 polar:1 ads5:25 ads3:17 excite:1 become:1 problems:1 variation:1 θdφ2:2 develops:5 important:2 ǫij:1 observables:1 yl2:5 impurity:1 insertions:1 coupling:5 dφ:1 dχ:4 interval:5 together:4 notion:1 sponding:1 4m:5 ramification:5 ls:1 n1:3 once:3 requires:2 strings:2 external:1 |
0704.1658.txt |@word snia:3 deγ:6 consider:5 remarkable:2 splitting:2 yellow:1 leads:1 flam:1 mp2:1 remarkably:2 contributions:2 depend:1 tr:1 diffuse:9 finally:1 contours:3 excluded:7 stable:3 include:1 lkp:1 brown:1 supported:3 g1:10 zhang:2 very:5 results:1 every:2 mixing:1 ullio:1 3h0:1 entire:1 level:1 louis:1 cmb:2 t0:13 large:1 discrete:1 insights:1 small:2 relation:2 ueda:1 degeneracy:1 upper:3 consistent:1 lightest:2 profiles:1 chen:2 further:1 tev:3 wmap:1 even:3 neutralino:1 3x:1 appear:1 3w:3 zhao:1 current:3 above:9 mued:9 splittings:6 body:3 simultaneously:3 beacom:2 explore:1 objects:1 free:1 jcap:1 excess:11 active:1 along:4 logarithmic:1 extreme:1 kistler:1 institute:1 study:1 studied:1 monoenergetic:1 example:5 products:1 decouple:1 shaded:4 oguri:1 extra:6 explained:5 highly:2 anomalies:1 apply:1 resolutions:1 planck:1 takes:1 usa:1 remains:1 give:2 scenarios:3 few:1 therefore:1 survive:1 jonathan:1 type:1 until:1 blazars:3 smeared:1 relax:1 vangioni:1 leising:1 emission:1 known:4 cases:1 eγ:16 must:2 abundance:3 account:2 mb:1 work:2 mh:4 labeled:3 mp:1 gravitationally:2 history:1 cosmological:6 chosen:2 predict:1 thermally:1 high:1 susy:4 numbers:1 exclude:2 egret:2 rays:2 fpa:1 decaying:14 provide:3 regions:2 far:2 sr:1 parameter:5 exponentially:1 product:1 de:1 galactic:8 may:13 max:3 after:2 imaginable:1 klypin:1 diagram:1 produce:1 matt:1 data:2 bino:1 short:2 natural:1 higgs:1 light:2 spectra:1 lines:4 cosmology:1 accelerated:1 extrapolation:1 gravitons:3 gamma:3 decreasing:1 tantalizing:1 order:1 considerations:1 astronomical:1 stability:2 course:1 thermal:3 paper:1 through:4 eγmax:4 its:5 galaxy:1 lapuente:1 silk:1 thank:1 decay:10 energies:2 interesting:2 masses:4 comastri:1 boson:2 late:3 detected:1 fig:12 clusters:1 supersymmetry:2 maximal:7 non:3 weidenspointner:1 motivated:1 greater:3 matches:3 weakness:1 matchev:1 number:4 band:3 bang:1 effects:1 they:5 nov:1 now:7 day:1 halo:3 densities:1 equality:1 university:1 kasuya:1 l5:1 constraints:4 significantly:1 series:1 energy:17 solution:1 decays:6 zhitnitsky:1 our:1 eq:4 out:3 shown:4 dominates:1 watanabe:2 cembranos:3 since:2 rev:19 overproduction:1 particles:9 si:1 dominated:2 sloan:1 squares:1 ref:1 viable:1 shows:2 foundation:1 mχ:1 theory:1 galaxies:1 diagonal:2 possibility:4 standard:1 completely:3 california:1 kakizaki:1 kribs:1 degeneracies:1 cosmic:4 times:1 american:1 plane:1 place:1 massive:1 h02:4 ichiki:1 top:1 colliders:1 spergel:1 rothstein:1 striking:1 primary:1 reaches:2 done:1 fluxes:3 teegarden:1 tively:1 dobrescu:1 passes:2 given:3 stringently:1 leading:4 interact:1 their:1 observations:3 calculations:1 john:1 alfred:1 explanation:2 realized:4 sreekumar:1 part:1 pavlidou:1 gyr:1 elusive:1 than:3 cheng:2 see:5 annihilation:1 matter:28 future:4 were:1 modeldependent:1 intriguingly:1 spectrum:8 curves:2 dash:2 analysis:1 need:1 seen:1 constrained:1 curve:2 ray:4 angle:1 gravity:1 note:3 potential:1 so:5 circles:1 spectral:1 multiple:1 though:1 track:1 collaboration:3 falls:1 most:1 propagate:1 phase:1 measured:1 probes:1 volume:1 appelquist:1 kk:8 up:1 implications:1 points:3 formation:1 principle:1 left:1 physics:3 dot:2 stecker:1 signatures:1 particularly:1 show:1 bertone:1 probe:5 spain:1 gauge:1 astrophys:10 find:3 feng:5 parameters:6 baryonic:2 explain:4 only:9 candidates:1 factor:1 circle:1 kaluza:2 ruiz:1 do:1 dm:1 dominant:1 gev:15 klein:2 di:1 dependent:2 kamionkowski:4 simplest:1 assumed:2 preferred:2 da:1 cannot:1 takayama:3 hooper:1 dt:2 ωde:7 takahashi:1 produced:3 continuum:2 fields:1 dgicyt:1 arxiv:3 experiments:2 predicted:4 characteristic:1 fixed:2 view:1 lifetimes:11 sensitivity:2 freeze:3 observed:7 depends:4 radius:1 subject:1 project:1 interacting:1 extragalactic:6 somerville:1 complementary:1 postdoctoral:1 written:1 between:3 ωm:7 corresponding:1 preserve:1 vertical:3 missing:1 originated:1 weak:3 however:5 key:1 kev:3 suppressed:2 suggested:1 both:4 cos:1 profumo:1 region:7 conclusions:1 sensitive:4 mev:35 miyaji:1 contribution:2 cm:4 simple:2 ca:1 asymptotically:1 dimensional:1 grants:1 decreases:1 bγ:1 cq:1 uci:2 conference:1 described:1 due:2 been:2 gravitinos:2 reionization:1 expected:1 ph:35 anomaly:1 location:1 concentrated:1 supersymmetric:3 observable:3 photon:16 essentially:1 irvine:1 fund:1 understand:1 astron:1 θw:2 present:4 case:2 intriguing:1 novel:2 supernovae:2 pacs:1 solid:1 value:2 will:4 frameworks:3 bounds:1 promising:1 larger:2 les:1 thus:1 kaplinghat:2 ia:1 partner:1 interacts:1 casse:1 compactified:1 grant:1 make:1 lett:4 shorter:1 epoch:1 komatsu:2 widely:1 underground:1 resulting:2 shah:1 grows:2 independent:2 peaks:1 hand:1 v0:4 phy:2 robust:1 identity:1 recent:2 lower:1 weakly:1 off:2 center:2 scenario:3 blazar:2 modeled:1 well:3 graviton:1 inherit:1 redshifted:2 model:2 laboratories:1 dimension:1 charged:1 λr:1 just:1 less:1 sigurdson:2 wagner:1 senami:1 saturates:1 sources:4 shape:1 underlying:1 cays:1 predicts:1 scattering:1 previous:1 jose:1 cut:1 candidate:1 density:4 photons:6 guaranteed:1 signals:2 source:2 attractive:1 easy:1 wimps:9 heavier:1 big:1 possible:1 dark:28 department:1 background:8 vacuum:3 bullock:1 yuksel:1 like:1 particle:4 signal:1 flux:26 lawson:1 yields:1 nucleons:1 kawasaki:1 reasonably:1 parity:1 right:3 absolutely:1 some:1 hartmann:1 specified:1 gγ:2 reasons:1 scale:4 dimensions:4 ahn:2 confirm:1 overlap:3 conservative:1 setti:1 does:1 assuming:4 minimal:1 indicated:2 cgb:12 virtues:1 expansion:3 although:1 salamon:1 obscured:1 properties:3 about:1 gravitino:2 universe:8 discussed:2 dependence:1 o:1 reduced:1 hasan:1 decelerated:1 range:7 akiyama:1 act:2 comptel:3 automatically:1 cutoff:1 strigari:4 h0:1 within:2 integral:4 hypercharge:1 nsf:1 signature:1 uncertainties:1 hep:11 elastic:1 extremely:1 support:1 there:1 long:5 wimp:13 width:2 rept:1 naturally:2 function:1 rajaraman:3 relic:3 respec:1 heao:1 but:8 matsumoto:1 astro:24 line:8 mb1:1 compactification:1 gravitational:1 smooth:1 maximum:2 below:2 astrophysical:4 limit:5 unusually:1 similar:2 apertures:1 required:3 constant:1 ln:1 beamed:1 universal:2 contribute:1 single:2 lifetime:4 gruber:1 triangles:1 again:1 dotted:1 no:2 dashed:4 when:2 detail:1 field:1 other:6 unaccounted:1 test:2 ohta:1 ns:1 conclusion:1 boggs:1 zheng:1 models:6 bottom:1 est:1 peak:3 astronomy:1 structure:1 searches:1 agn:3 schmaltz:1 dφ:6 requires:1 age:2 space:2 resolving:1 nasa:1 mass:13 fact:5 searched:1 walker:1 observables:1 nuclei:1 resolution:2 once:1 |
0704.1659.txt |@word gu:1 surrounded:1 gr:3 magnetic:17 particular:1 results:5 leads:10 rapid:2 garching:2 parameterization:1 consists:3 follow:1 disk:68 ryde:2 consider:1 compact:1 particles:1 send:1 does:1 cm3:4 dramatically:1 mpg:1 mpa:1 very:2 ruffert:2 pected:1 focus:4 electron:3 figs:2 summarized:1 affect:1 presented:3 steeply:2 applicable:2 large:10 stehle:2 convenience:1 enhance:1 woosley:9 degeneracy:1 smaller:1 force:2 l93:1 estimates:1 direct:1 accreting:1 rate:27 schaefer:1 enhancement:1 chen:2 further:2 estimated:1 spectral:4 stands:1 norris:1 giving:1 section:5 m32:1 increasing:5 that1:1 filled:1 temperatures:1 bonnell:1 channeled:1 respectively:6 l1:3 component:1 here:9 reported:1 mev:1 possibility:1 l29:1 strong:2 change:1 box:1 fireballs:2 institute:1 larger:1 commonly:1 gravitationally:1 suggests:1 resulting:1 makes:2 via:2 b215:1 scales:4 apr:1 marked:2 neutrons:2 decrease:4 neutrino:21 total:2 planck:1 linearly:2 narayan:2 flavors:1 takes:6 photospheric:14 remains:1 next:2 few:5 violently:1 doubling:1 theoretical:1 more:6 anticorrelation:1 becomes:5 hoffman:1 emission:15 keplerian:1 payne:2 varying:1 hole:13 hold:1 iii:2 must:1 ρa:1 high:2 account:1 rotational:1 work:4 protons:3 ρp:3 erg:6 values:1 mp:1 hawley:2 example:3 references:1 prompt:6 cosmological:1 give:2 relativistic:1 topic:1 assumptions:3 numbers:1 degenerate:2 sharp:5 rays:1 xue:1 rather:5 means:2 regions:1 how:2 connect:1 answer:1 explains:2 dominance:7 modulations:3 tension:2 binary:2 may:2 max:1 after:5 modest:3 explored:2 studies:4 coming:1 constants:1 stress:1 physical:2 effective:1 light:4 spectra:2 obs:1 provide:1 so:1 sect:4 allow:1 decreasing:1 lν:2 order:4 interpretation:2 correlation:1 ep2:1 over:1 mainly:1 episodes:2 pulses:5 still:1 its:2 boosts:1 before:4 observational:1 thank:1 masses:2 fenimore:4 vicinity:1 decreases:2 attraction:1 lu:1 choose:1 lp:6 non:1 material:4 collide:1 scaling:5 effects:1 now:1 discuss:2 february:1 gets:1 hereafter:6 fireball:3 parameter:3 level:1 bursts:5 reasonable:1 fields:6 found:3 characterized:1 mean:1 shock:1 instability:2 sition:1 energy:17 related:2 grbs:3 fraction:6 expect:1 substantially:2 relates:1 extract:1 ep:3 out:1 bility:1 shown:3 superscripts:1 furthermore:1 since:6 rev:1 increase:14 dominated:14 scalings:4 temporal:2 mechanisms:4 free:1 quite:1 amati:3 put:1 estimate:4 hand:1 pairs:3 jet:2 thread:2 launch:1 geometry:1 transition:49 turn:2 place:5 massive:2 hence:1 first:2 origin:1 initial:1 manuscript:1 powerful:4 number:2 done:4 least:1 directly:3 loaded:2 temperature:4 likely:3 their:1 introduction:1 leading:2 burst:3 system:1 approximately:2 needed:1 cooling:12 accretion:48 advection:12 too:1 rates:11 1m:4 exponents:1 observations:2 collapse:2 baryon:24 completed:2 released:1 assumption:1 part:4 manifestation:1 injected:1 microphysics:3 than:1 6gm:1 viscous:1 critically:2 matteo:2 second:3 annihilation:3 matter:3 tion:1 steep:2 cleaner:2 spectrum:2 curves:2 substantial:2 lbj:2 orders:1 viewed:1 neutronization:18 strength:7 giannios:10 efficient:4 pa:1 speculative:1 responsible:3 gravity:1 mechanism:6 liu:3 emphasis:1 internal:3 photosphere:3 strengths:1 ray:3 though:1 object:1 viscosity:3 popham:3 most:3 boltzmann:1 connected:1 gauss:2 znajek:3 phase:2 baryons:1 acknowledgements:1 inserted:1 dai:1 kb:1 macfadyen:4 considered:2 average:1 later:1 implications:2 illuminating:1 mri:2 clean:1 arguably:1 velocity:1 constrain:1 physics:1 fact:1 particularly:1 apj:19 show:1 supported:3 rotating:2 relation:4 aloy:1 spruit:7 ratio:2 just:1 explain:5 less:2 black:13 rich:2 factor:12 do:1 di:2 de:1 ones:1 words:1 during:18 takahashi:1 evolution:4 contributes:1 densities:2 luminosity:27 coalescence:2 arxiv:4 thermal:1 exercise:1 activity:1 release:3 through:1 fixed:3 achieved:1 undergoes:1 operates:2 observed:11 depends:7 radius:1 result:4 discussions:1 close:5 luminous:1 aros:8 possi:1 nuclear:1 review:1 enough:2 boundary:1 conditions:1 variability:7 recently:2 weak:1 efficiency:1 wu:1 enters:1 piran:1 key:1 configuration:1 suppressed:1 received:1 last:5 region:3 conclusions:1 equal:1 against:1 connection:3 mildly:2 context:1 requests:1 argue:1 expression:3 finds:2 comes:1 blandford:5 among:3 relevant:1 cm:1 simple:1 each:1 proton:2 dissipating:1 associated:1 throughout:1 powered:1 been:3 pb:2 extraction:3 much:4 pe:2 expected:5 ph:4 pn:1 fig:2 engine:3 both:3 quantities:3 sufficient:1 photon:4 pringle:1 understand:1 c2:1 spin:3 those:1 case:2 extracted:1 processes:1 ejection:4 harder:1 will:1 while:4 fiducial:1 promising:1 taking:1 launched:2 cb07:9 characteristics:2 vk:1 thus:1 uzdensky:2 surface:2 ii:2 capture:1 different:2 suggest:1 make:2 radiation:3 same:2 parts:4 units:1 shakura:2 several:2 tapped:1 composition:1 neutron:6 higher:3 fairly:2 see:7 flows:1 possible:1 kohri:3 hydrodynamics:1 changing:1 sunyaev:2 contribution:2 recent:1 threaded:1 scenario:1 changes:8 roughly:2 magnified:1 edge:1 l101:1 quantitative:1 model:8 magnetization:1 powering:1 quoted:1 dimitrios:4 beloborodov:4 when:4 predicts:1 using:2 uller:1 speed:1 captured:1 previous:5 loading:18 pruet:2 density:10 photons:1 b15:1 treatment:1 livio:2 around:6 term:2 nemiroff:1 possibly:1 increases:5 indicative:1 antineutrino:2 birth:1 denser:1 press:3 ρkb:1 accepted:1 fryer:1 mod:1 collapsar:2 brought:1 particle:1 identifying:1 mhd:3 disks:3 extremely:1 shocks:2 translates:2 specific:1 flux:10 janka:2 unstable:1 either:2 arbitrary:1 output:8 nucleons:1 reduced:1 cooled:5 because:2 some:1 ejections:2 escape:1 duration:1 svk:1 dissociated:1 scale:8 esz:8 per:1 conservative:1 magnitude:1 provides:2 assuming:2 moderate:5 demonstrated:1 refer:1 core:2 birkl:2 l0:3 power:8 location:1 neutrinos:2 radial:2 agreement:2 pressure:18 although:3 accompanied:3 properties:12 pγ:2 central:3 discussed:1 dependence:2 surround:1 distinct:1 range:4 stand:1 germany:1 consequently:1 other:1 gamma:4 thinner:2 statements:1 ogilvie:1 into:2 within:2 bound:1 advected:1 variable:1 accounts:1 proportional:1 span:1 shells:4 assumed:2 support:1 there:2 3m3:1 fast:1 width:1 outflow:8 inner:16 liang:5 astrophysics:2 conceivable:1 translate:1 magneto:1 launching:1 naturally:1 function:3 rees:8 form:2 sound:1 but:1 astro:4 doi:1 solar:4 mnras:3 dissipative:1 amplify:1 made:1 annihilate:1 mineshige:4 wish:1 gravitational:2 islands:1 variations:2 up:2 distribution:1 balbus:2 similar:4 regimes:2 constant:3 flow:36 abstract:1 contribute:1 general:1 ar:2 simulations:1 regime:4 functions:1 no:1 zand:1 generally:2 field:15 narrowing:4 kawanaka:2 grb:40 spatial:1 er:2 conclusion:1 opacity:1 polar:2 star:5 poynting:21 faction:1 models:4 gas:1 lph:4 variation:1 generated:1 a2:1 peak:6 dissipation:1 astronomy:1 structure:3 perna:1 offprint:1 coupling:2 assume:2 proposed:1 crease:1 mass:5 time:1 antineutrinos:1 once:1 |
0704.1660.txt |@word limited:2 extrapolated:1 schlegel:2 luminosities:8 four:2 nottingham:2 ecogia:1 parameterization:7 consists:11 poorly:1 whose:1 calculate:1 paris:4 under:1 school:1 solution:2 selections:1 indices:1 ueda:5 heading:1 degeneracy:1 10h:3 faintest:6 consistent:5 miur:1 direct:2 likely:5 lacy:1 qualitatively:2 estimated:4 even:8 errors:2 dr3:6 selected:32 astrophysik:1 above:2 new:1 increasing:1 simultaneously:1 here:8 richstone:3 reported:3 active:3 obtained:11 study:4 astrophysique:3 adopting:1 changes:2 der:1 prints:1 secure:5 highly:2 visible:2 total:13 unit:1 plot:6 would:5 cirasuolo:2 therefore:2 type:30 th:1 composite:8 hole:3 mc:4 mb:35 work:3 mi:3 springel:1 example:8 indicated:1 organized:1 ripepi:1 want:2 magnitudes:16 bassini:1 absolute:22 end:39 feature:1 very:9 merritt:2 description:3 seds:1 earlier:2 lumi:1 summarize:1 law:12 meaningful:1 third:4 garilli:2 schneider:5 hypotheses:1 green:4 schade:2 order:1 feedback:3 over:5 vary:2 before:3 fit:45 miyaji:6 better:11 differently:1 inaf:7 schmidt:8 easier:1 them:11 combination:4 break:2 band:28 effects:1 they:8 represents:4 classified:1 cowie:7 each:20 mean:1 telescope:3 mchardy:1 milan:1 used:15 combining:6 restricted:1 mason:1 linear:1 given:11 free:3 standard:1 formation:1 estimate:6 magliocchetti:1 cosmic:6 corrections:6 onto:1 mellier:1 already:7 features:2 restrict:1 adopted:4 thick:4 clarity:1 electronic:1 blagn:4 similarly:1 eqs:1 tot:2 confirming:1 accretion:1 listed:3 percentage:2 ranging:1 volmerange:1 geneva:1 binned:2 frascati:1 somewhat:3 piazza:1 distance:1 target:3 matteo:2 second:4 pasp:1 spectrum:4 seen:3 ray:12 latter:1 responsible:1 predominantly:1 fitting:7 2006a:2 2006b:12 almaini:1 observatoire:3 circles:12 blue:5 prevot:3 object:13 extending:1 germany:2 acknowledgements:1 points:25 principle:1 dot:2 probe:1 infrared:1 colors:11 radio:1 barkhouse:1 tremaine:1 explain:1 do:4 dl:2 di:13 de:15 preferred:1 brera:2 agns:2 dr:1 runs:1 covering:1 fields:8 inactive:1 analytical:1 bal:3 explanations:1 reference:3 zamorani:1 detection:1 depends:1 decided:3 result:5 best:26 subject:1 said:1 µm:1 tresse:1 ira:1 terms:3 nature:2 astrofsica:1 however:8 wi:3 contamination:5 overestimated:1 paranal:1 received:1 cox:1 vanden:4 uncertainty:2 fagn:1 contribution:10 royal:1 2nd:1 polynomial:1 k2:2 fors1:1 basis:13 three:4 been:35 much:5 expected:8 dots:3 deeper:2 chile:1 reddening:3 applied:2 ministry:1 delle:1 procedure:1 ir:4 iv:1 ii:2 confirmed:2 suggest:3 make:1 clearly:1 comastri:1 complex:1 several:1 european:2 templates:1 evolve:1 spectively:1 peaks:5 laboratoire:2 normalization:5 whereby:1 scenario:1 possibly:1 monaco:1 proposed:5 assigned:1 thanks:2 yet:2 previous:16 adding:1 hao:3 had:2 woodlawn:1 evidences:2 bands:16 possible:11 eorique:1 mushotzky:3 silverman:2 occurring:1 hunt:10 unnecessary:1 evolutions:1 www:1 right:1 flatter:3 m1450:6 flatten:1 umr:3 contributing:1 linearly:1 ple:14 properties:5 anomalous:1 o:13 contains:1 22h:4 marshall:2 cosmologie:1 down:1 logφ:10 anderson:1 ilbert:4 fraction:8 astrophysics:5 was:5 medium:1 form:4 attempted:1 becoming:2 differences:12 cedex:1 underestimates:1 berk:4 k1z:1 daddi:1 maximum:5 k1d:1 panels:5 k1l:1 computing:1 milano:3 abstract:1 covers:1 evidence:1 distributions:3 triangles:2 physical:2 nh:1 dotted:6 no:4 when:1 role:1 digital:1 test:3 optically:12 models:19 15e:1 variable:1 maillettes:1 jones:1 assume:2 bottom:4 together:2 time:10 nuclei:2 iovino:2 global:3 garching:1 computation:3 inverse:1 2004b:2 finally:5 analogous:1 brown:2 advantage:2 dey:1 choice:2 cyan:2 fontanot:2 presented:8 lequeux:1 hawaii:6 mccracken:4 upper:6 trend:9 spectral:15 appear:2 current:2 template:8 filled:1 prescriptions:1 french:1 along:2 appears:4 change:7 institute:4 shift:3 studied:3 simultaneous:1 usually:1 deg:1 studies:2 plotted:8 useful:1 modifying:1 rarely:1 planck:1 working:1 roma:1 franca:8 angela:2 france:10 songaila:1 criteria:3 associated:4 today:1 acceptable:1 apparent:2 envelope:1 appendix:1 vmax:6 arago:1 cases:3 cfhtls:3 values:12 following:6 galex:3 figure:42 sample:133 performed:4 allowed:1 occur:1 borch:1 divided:2 criterion:2 pure:12 edinburgh:2 product:1 may:1 max:1 southern:2 designed:2 mag:2 data:84 matute:2 sq:1 cosmology:3 so:4 progressively:1 nous:1 typical:3 indeed:5 mainly:2 osservatorio:4 years:1 lactea:1 statistical:3 peterson:1 still:6 observational:1 derive:7 interesting:1 presence:7 decreases:2 gto:1 ours:2 main:2 downsizing:5 non:2 scannapieco:2 introduce:1 now:2 hall:4 nor:1 term:4 ject:1 arrows:1 possibilities:1 spectroscopically:3 photometry:2 en:1 significantly:7 krak:1 ed:3 gaussian:3 astrophysical:1 iasf:1 wavelength:8 canada:3 shown:22 space:14 increase:1 suggesting:1 squares:3 correct:3 shows:8 after:2 fisica:2 possibility:3 quite:1 california:1 arnaud:1 79e:1 massive:2 grism:1 first:14 intervening:1 toulouse:3 polletta:2 hartwick:2 directly:2 open:4 size:1 surveys:19 loglx:1 fobs:2 iab:7 national:2 gives:3 deg2:4 way:4 moiariello:1 than:33 intrinsically:4 population:3 l43:1 wide:16 l47:1 effective:1 require:2 ldde:13 hasinger:8 bauer:1 pre:2 san:1 correction:3 commissioning:1 any:5 consortium:3 note:3 sciences:1 cnrs:4 normal:1 track:2 cnrc:1 conspicuous:1 probes:1 considered:6 average:9 later:1 ohta:1 pattern:1 satisfactorily:1 slope:23 show:19 discovered:1 bright:25 decompositions:1 corner:1 ratio:3 analytic:1 only:34 going:4 black:13 boyle:11 normalizations:1 morphological:7 virmos:1 ssr:7 cannot:1 nearly:1 aλ:2 laguna:1 magorrian:2 storrie:1 summary:1 fainter:6 bautz:1 up:12 namely:1 cristiani:1 detect:1 extragalactic:1 78e:1 enough:5 between:13 across:1 analyzed:3 irnerio:1 many:3 region:1 according:1 σz:1 belin:1 among:1 kennefick:2 color:14 sampling:3 grants:1 spans:1 moreover:10 considering:4 absence:2 paltani:2 combined:7 qso:9 former:1 those:8 case:4 estrelas:1 irrespective:1 comoving:4 incompleteness:3 pozzi:1 different:25 verified:1 l57:1 same:16 shifts:2 epoch:4 underestimate:1 k2l:1 k2d:2 extended:2 barger:4 driven:1 changing:1 minimize:1 without:1 solve:1 dashed:8 model:58 being:3 rest:5 unclear:1 sampled:2 except:1 improvement:2 instrument:2 samples:40 radovich:3 carrera:1 real:1 around:2 astronomico:4 reddened:2 using:14 accepted:1 ruled:1 either:4 reduced:3 satisfactory:1 respect:6 finkbeiner:1 critical:1 decomposition:1 o6:1 power:9 biases:3 comparison:19 central:1 hopkins:12 discussed:3 estimator:3 wolf:10 ow:1 ot:2 redshift:126 references:2 log:1 area:6 assumed:5 there:1 dispersion:1 start:1 low:28 slopes:4 complete:7 mnras:7 trying:1 applying:3 improved:1 eh9:1 ωm:6 connect:1 detailed:3 ai:3 speculations:1 aj:16 am:1 deep:20 general:1 av:1 moves:1 universidade:1 again:1 completeness:1 field:15 requested:1 includes:1 a1:1 important:1 peak:15 coverage:5 included:3 provence:2 brandt:3 offprint:1 individual:3 curve:8 having:2 mass:1 renzini:1 original:3 represent:2 monte:2 consider:4 osmer:1 follow:1 arnouts:3 tail:1 program:1 spain:1 asterisks:1 mpc:3 far:4 fan:8 difference:6 securely:1 list:3 large:9 ukidss:3 small:11 programme:1 bvd:1 rate:5 design:1 further:1 cimatti:3 gunn:1 what:2 hernquist:3 sub:5 section:17 fractional:1 method:3 full:7 component:1 ranges:8 excess:9 strong:1 colored:1 allows:9 narrow:3 imaging:1 via:9 followed:1 extrapolations:3 requiring:1 5log10:1 analyzing:1 blagns:1 extinction:9 takes:1 faint:68 2004a:2 strauss:3 comparing:1 taken:2 more:18 flat:2 corrected:3 emission:7 tested:2 flag:1 particular:4 known:3 evolves:2 science:2 equation:1 des:1 bias:3 evolved:1 history:2 compare:5 cosmological:1 stated:1 states:1 steidel:3 numbers:1 sense:1 exclude:2 10kev:1 sauverny:1 robinson:1 rather:2 explains:3 galactic:3 spitzer:1 derived:62 catalog:2 short:1 spectra:7 parameterized:1 extrapolation:5 negligible:2 turnover:1 help:1 ith:2 developed:1 thermal:1 paper:13 through:5 filters:1 existence:1 avenue:1 its:6 rapidly:1 solving:1 detected:1 systems:1 good:11 motivated:1 propose:1 morphologically:1 framework:1 porto:2 pc3:1 level:1 fgal:1 chandra:1 found:24 universit:5 2h:1 characterized:3 bruzual:2 energy:5 hard:5 osterbrock:2 carvalho:1 expect:1 measurement:2 bluer:1 sabatier:1 chaffee:1 since:11 research:1 flattening:4 jolla:1 sloan:1 jagiellonian:1 lawrence:2 confidence:2 reason:5 brightest:2 capodimonte:1 definition:1 top:1 major:3 probability:2 number:17 fluxes:1 introduction:1 leading:1 least:5 wisotzki:1 arnaboldi:1 celotti:1 observations:6 shifted:1 park:1 part:10 authors:1 kind:1 observatory:5 determines:1 double:3 grey:1 charlot:2 determined:2 toward:1 randomly:1 bhs:1 lie:1 depending:2 astronomia:1 majority:1 k1:1 square:1 analogy:1 finding:2 contractual:1 towards:4 reach:1 depths:1 most:12 significant:6 vimos:6 bahcall:2 clear:2 cover:2 km:2 optical:16 physics:1 particularly:1 phenomenon:1 find:7 impact:1 simulating:1 parameters:12 catone:1 affiliations:1 lyα:1 dependent:5 rocca:1 silk:2 continuum:1 schiminovich:3 arxiv:4 common:2 activity:10 switzerland:1 ferrarese:2 maurice:1 declines:2 ara:2 see:12 sed:6 descriptions:1 institutes:1 foltz:3 various:5 probably:2 conditions:1 cfht:1 available:5 recently:7 statistically:1 targeted:1 spectroscopic:16 distinguish:1 bivariate:1 both:14 recherche:1 last:3 fitted:6 pde:4 shanks:2 point:2 simple:7 sky:1 corresponds:11 throughout:1 decline:1 described:8 due:12 strategy:1 garmire:1 collected:1 ph:1 bongiorno:16 partly:1 dropout:1 scienze:1 determination:3 djorgovski:1 p2:6 extracted:4 p1:6 fur:1 solid:7 empirical:1 while:19 reliably:1 portugal:1 apjs:2 italy:9 newberg:1 resulting:13 relatively:4 higher:7 literature:1 purpose:2 ωtot:2 robust:1 lower:9 poland:1 analysis:15 mobs:3 mref:4 shape:6 intervals:2 conclusions:1 guaranteed:1 location:2 remaining:3 bin:13 showing:2 expecially:1 bis:1 systematically:1 follows:3 holes:4 ees:1 flux:12 indication:1 continua:1 lerma:1 mathematical:1 some:4 examples:2 scale:1 describing:1 affects:1 measurements:1 per:1 prop:1 pell:1 pei:6 tends:2 zucca:1 reddest:1 rua:1 bh:3 agreement:10 infra:1 orla:1 goods:1 constraint:1 simulation:1 range:39 tananbaum:1 akiyama:1 gallagher:1 consequently:1 into:4 within:4 integral:1 appropriate:1 shapley:2 uncertainties:1 institut:2 long:3 ut2:1 manufacture:1 rees:2 line:29 characteristic:2 uv:1 nqso:5 us:7 ul:1 uk:1 highlight:1 marseille:3 similar:14 constant:4 defined:1 redshifts:12 2slaq:5 single:4 steeper:1 fixing:2 swire:3 2df:12 potsdam:2 lonsdale:3 explaining:1 astrofisica:1 problems:1 allowing:2 agn:161 implies:1 algorithm:1 resolving:1 depth:3 weights:2 incomplete:2 gobetti:1 vvds:52 code:1 results:18 edu:1 contributions:2 adelberger:1 send:1 3hj:1 include:1 confirmation:1 vlt:4 entire:5 harbor:2 lombardi:1 concluded:2 zi:1 zc:10 croom:12 carlo:1 ues:1 index:7 plays:1 expressed:3 fiore:5 canarias:1 degree:3 hornschemeier:1 respectively:7 growing:3 explore:1 objects:47 l29:1 z2:2 extreme:1 eprints:2 larger:5 leaving:2 suggests:2 survey:20 sternwarte:1 makes:1 examining:1 apr:1 photometric:10 private:1 apj:21 decrease:1 use:6 usa:1 remains:1 next:1 exhaustive:1 becomes:3 ranzani:2 iii:2 account:6 integrating:1 oh:2 reproduce:6 contaminations:1 obvious:1 thin:4 universe:4 high:18 assumptions:1 steepening:1 instead:4 constraints:1 highz:1 outlier:1 evre:8 kormendy:2 insu:1 fits:13 qsos:10 da:1 ambiguous:3 lines:4 correspond:11 allow:7 bins:9 evolutionary:7 astronomical:1 02h:5 interpreted:2 symbols:1 enclose:1 mentioned:1 galaxy:27 warren:7 lf:37 le:10 la:12 chosen:1 masses:1 li:1 covered:6 tsr:4 fourth:1 das:1 february:1 university:7 identified:1 magnitude:31 l1:1 requests:1 l9:1 siana:4 lfs:5 measure:1 our:74 erties:1 out:3 posteriori:1 rei:1 underpopulated:1 red:9 shut:1 galaxies:14 release:2 napoli:1 dubbed:1 determining:1 could:5 davis:1 south:1 manuscript:1 reaches:2 precisely:1 quality:1 bertin:1 simulated:4 bologna:7 histograms:1 relations:2 their:16 intermediate:1 extincted:6 shallow:2 too:1 observed:22 limiting:4 num:1 exhibit:1 cohen:1 curves:7 constrained:2 linked:1 studying:3 physique:1 mid:1 unless:1 centre:3 centro:1 bolometric:15 but:13 representation:3 intrinsic:4 why:1 astro:1 stronger:1 looked:1 constrain:2 fact:14 selection:17 supported:1 purely:1 bicocca:1 subtracting:1 based:5 should:3 brighter:5 candidates:4 combo:10 local:1 meant:1 means:3 overall:3 ones:5 words:1 drawn:1 richards:29 quantifies:2 areas:2 evolution:42 densities:1 luminosity:143 differential:1 contain:1 hewett:5 including:3 fixed:1 conversions:1 computed:16 hβ:2 frame:4 hα:3 legacy:1 operated:1 luminous:6 closer:4 nuclear:3 porzio:1 state:1 rowan:1 neither:1 contaminated:2 comparable:2 reproduced:1 interpolate:1 reproduces:2 hypothesis:1 key:2 distribution:13 interpretations:1 limits:2 taking:1 decay:1 attributed:1 figures:1 otherwise:1 ch:4 co:1 ca:1 dipartimento:3 vignali:1 table:10 allocated:1 addition:6 honolulu:1 suggested:1 describe:5 corresponding:6 mail:1 c2:2 c1:2 present:4 multi:3 value:8 will:5 almost:1 thus:3 examined:1 highlighted:1 parts:8 difficult:1 effect:4 dust:13 surace:1 center:1 modeled:1 well:12 sets:3 position:3 usual:2 less:3 accurate:1 sources:5 paul:1 versoix:1 density:32 absorption:3 smith:3 discuss:1 reasons:1 cdfs:4 unprecedented:1 increases:1 five:1 scientifique:1 success:2 seyfert:3 become:1 works:5 soft:5 page:2 italian:2 indications:1 because:12 smoothly:1 library:2 growth:2 spheroid:3 avni:3 vettolani:2 broad:10 does:5 masked:1 assuming:2 eso:3 sdss:41 locate:1 host:23 although:3 panel:14 pointings:1 about:4 rare:2 carried:1 column:1 freedom:1 dependence:2 introduced:1 h0:2 weighted:1 brusa:1 additional:3 val:1 overestimate:1 var:1 function:95 brand:1 overlapping:1 hu:1 volume:4 partially:1 made:1 compute:7 evident:2 below:4 limit:2 problem:1 slitless:1 goodness:1 worse:1 redder:12 diego:1 functions:4 compared:5 other:11 details:2 conclusion:2 star:1 variation:1 astronomy:4 searches:1 |
0704.1661.txt |@word limited:1 four:2 facilities:1 consists:4 violate:3 collisions:5 0gev:1 under:4 cm3:1 stipulate:1 tantalizing:1 experimentally:6 school:2 solution:2 viable:1 vector:5 red:8 antileptons:1 enjoy:1 force:12 direct:1 estimated:2 even:7 established:3 pandey:1 liberated:2 above:5 new:12 avert:1 herb:2 never:2 residual:1 here:2 represented:1 quark:67 contraction:7 obtained:2 fireballs:1 study:2 ignoring:1 adopting:1 stipulated:1 spacetime:1 appropriately:1 gluons:13 quarkgluon:1 explained:2 highly:1 neutrons:14 neutrino:1 univ:1 plot:1 would:18 negative:1 vol:1 therefore:5 m2:1 type:1 composite:3 yahoo:1 curvature:1 continual:1 hole:73 must:8 word:1 mc:11 mn:5 eighteen:1 temperatures:1 example:2 give:1 relativistic:3 india:2 involve:1 degenerate:7 validated:2 attract:3 end:8 feature:1 how:3 hot:2 ordinary:1 beauty:1 thermodynamic:1 after:9 lab:1 ultrahigh:5 shukla:2 law:1 parallel:1 third:4 pulsate:1 green:5 ultimate:1 enter:1 order:6 over:4 satisfied:1 murray:2 london:1 thesis:1 before:5 exploded:2 production:3 compelling:1 eventually:8 them:2 combination:6 cassiopeia:1 bang:7 repulsive:5 effects:1 they:13 singularity:22 indeed:2 explode:5 reasonable:2 each:16 telescope:1 series:1 1996a:1 combining:1 laboratory:8 3c58:1 particles:33 rg:12 reader:1 linear:1 associate:1 free:2 standard:1 proportionality:1 detecting:1 universally:1 enormous:1 r0:7 r2:2 r3:1 ds2:1 features:1 primary:1 another:7 top:1 approximately:1 too:2 john:2 collapse:34 geneva:1 typing:1 serve:1 begins:1 distance:4 showed:1 princeton:1 normalizing:1 matter:31 kth:2 mini:2 dθ2:1 manner:1 seen:2 ray:1 responsible:3 ulrich:1 blue:7 broglie:2 though:4 object:18 involving:1 phase:2 acknowledgements:1 cdf:1 observation:1 professor:2 curvatures:1 yang:6 principle:14 probe:3 infrared:2 attempts:2 gauge:8 keywords:1 substituting:1 analogue:1 toponium:2 just:6 spite:2 topological:1 do:2 zeldovich:5 de:3 fluid:1 altogether:1 report:3 dr:1 countries:1 fields:4 release:1 observer:4 phenomenologically:2 detection:1 radius:19 result:4 said:2 away:2 supergravity:2 continually:3 symmetric:2 pressures:1 simplest:1 drawn:1 discovery:5 nambu:2 triplet:2 parallels:1 positron:1 nature:2 weak:15 however:18 harvard:1 huang:2 suggested:5 received:1 cos:1 uncertainty:2 against:1 colloquium:3 contribution:1 com:1 observing:1 three:23 been:30 ting:1 much:2 basic:1 expected:2 repelled:2 quantities:1 confinement:2 spin:22 aim:1 cycloid:1 unlikely:2 played:1 iw:3 ij:2 inhibiting:1 confirmed:1 perform:1 slac:1 complex:3 several:3 breaks:1 european:1 independent:1 i3:1 numerical:1 changes:2 left:3 unified:1 proposed:2 newton:1 dφ2:1 thanks:2 spherically:1 yes:1 scattering:4 yet:2 enters:1 cornell:1 regarded:2 bnl:2 plasma:21 gave:1 advances:1 gellmann:1 possible:5 possibly:1 unique:1 advanced:1 apart:4 alice:1 4gev:1 right:2 athlone:1 escape:4 critique:2 indirect:1 dense:1 isoscalar:1 bottom:1 electromagnetic:7 quarks:51 ubiquity:1 tracker:1 core:22 leptons:21 properties:2 orem:1 beta:1 o:2 horizon:20 propagate:1 efforts:1 considerations:1 soc:5 statements:1 bound:7 down:7 amsterdam:1 geometrodynamics:1 initial:1 transform:1 conservation:2 physicists:2 way:2 astrophysics:2 was:12 gij:4 head:2 form:5 conclusively:1 idealized:1 abachi:2 flavour:12 prevents:1 inside:9 complications:1 emit:1 proved:1 abstract:1 evidence:6 exist:3 accounting:2 physical:1 polytropic:1 whereas:6 when:19 ne:2 handed:4 role:3 picture:1 scale:4 deuterons:1 longer:3 dφ:1 together:5 remarked:1 nuclei:3 concept:2 remarkable:2 focus:1 leads:1 roy:5 passage:1 finally:1 monotonically:1 division:1 string:1 emphasized:2 level:1 did:1 irreducible:1 settle:1 team:1 round:1 upper:5 heinz:1 findings:2 appear:1 foregoing:1 uniform:3 reminiscent:1 pulsating:4 explosion:1 dwarf:3 understanding:2 groups:1 appears:2 change:2 studied:2 studies:2 emerge:1 retired:1 gluon:26 swallowed:1 planck:2 positive:1 theoretical:2 apparent:1 validity:2 visual:1 states:8 sphere:2 reviews:1 values:1 making:1 gravitationally:13 agent:1 occur:9 antibaryons:1 fourth:2 eight:2 may:34 produce:2 date:2 gros:1 data:3 natural:1 succeeded:2 ss:3 thorne:2 cosmology:3 so:18 sc:3 representation:1 3πr:1 breaking:1 nucleon:7 constituents:5 pointed:5 entity:2 course:6 experiments:9 statistical:1 cold:1 group:3 chandrasekhar:5 interesting:1 coordinates:1 attraction:1 gtr:10 dwarfs:1 mail:1 non:4 thereby:1 integral:1 half:1 arriving:1 now:3 discuss:1 nor:2 matched:1 possibilities:1 wong:3 entirely:3 ed:1 misner:2 astrophysical:1 wavelength:2 ev:3 ultimately:3 accomplish:1 space:20 furthermore:3 increase:2 attracted:3 contained:1 emerged:1 correct:2 earlier:5 theory:6 zweig:3 possibility:2 quite:2 besides:1 inevitable:1 collapsing:25 transition:2 massive:1 first:1 origin:1 symmetry:4 waves:2 gases:1 carry:1 impossible:2 ring:1 size:2 wilczek:3 given:12 necessarily:1 phenix:1 realization:1 white:9 structures:2 gives:1 neutronization:1 mostly:1 schwarzschild:3 electroweak:1 released:1 than:19 greenberg:2 shalit:1 glueballs:1 were:3 pulsation:2 prd:3 prl:14 ann:2 say:2 allen:2 occupied:2 any:16 note:1 potential:2 take:4 interior:2 ρmax:2 begin:1 shade:1 neutrinos:3 clearer:1 numero:1 ordinates:4 pair:5 baryons:5 inserted:1 forever:2 considered:2 later:2 nuclear:10 discovered:2 ground:2 proportion:1 outside:9 analytic:1 only:10 black:74 gev:6 contracts:1 sss:1 expects:1 cannot:10 gen:1 reveal:1 physically:1 namely:11 ways:2 eluded:1 colours:14 enough:6 permeated:6 between:30 simplifying:1 justified:1 originated:1 come:2 reaction:1 many:1 according:5 contract:2 comes:1 characterization:1 moreover:7 collider:4 absence:2 mark:1 damping:2 enable:1 formed:1 photon:2 andrew:1 observe:1 external:2 those:5 case:6 hughes:2 squeezed:2 metric:1 comoving:4 different:8 verified:1 author:5 perpetually:1 same:11 epoch:2 week:1 singapore:1 director:1 running:1 barber:2 charges:9 no:10 deconfinement:2 without:3 mann:4 components:4 coordinate:1 model:2 laboratories:1 bodies:1 colourless:4 summer:1 being:10 rest:4 vanishes:2 thakur:10 speed:4 heuristic:1 upton:1 seems:1 except:1 treatment:1 momentum:10 real:3 around:1 multiplets:5 early:2 vacuum:4 confined:1 world:1 accepted:1 particle:16 either:3 inter:1 reasons:1 provided:1 dimensions:2 stops:2 conservative:1 critical:3 scientific:2 sixth:1 found:4 hadron:2 theorems:6 practical:1 addition:2 act:2 mixed:1 allowing:1 cambridge:3 hypercharge:2 references:1 determine:1 einstein:1 elementary:6 theoretically:1 polytrope:1 assumed:2 there:10 ordinate:2 start:1 stars:2 iucaa:1 newtonian:1 regard:2 jun:1 delayed:1 amongst:1 happening:1 extend:2 assume:2 exhausted:1 certain:5 deep:1 general:6 ap:3 aces:1 lifetime:1 again:2 ideally:1 storage:1 field:5 valid:3 massless:2 time:21 important:2 slane:2 conclusive:1 building:1 inhibited:6 mass:34 starting:1 consider:2 causes:2 tt:2 ts:4 th:2 kρ:1 augustin:2 very:13 coloured:3 sons:2 fall:1 applicable:1 large:5 small:2 programme:2 tel:1 zero:8 500m:1 suf:2 what:7 suc:5 abe:2 sun:1 section:6 brief:1 scientists:2 component:3 resulted:2 andrews:1 berkeley:1 directions:1 strong:9 equations:4 search:4 antisymmetric:3 amount:2 periodic:1 action:1 formation:1 via:1 family:5 suddenly:1 summations:1 viz:1 estimate:1 distinct:1 contains:2 charge:6 nucl:1 qcd:2 taken:5 more:14 ramond:2 company:1 particular:2 known:4 upsilon:1 science:2 equation:5 protons:9 remain:3 nine:1 ions:4 νe:4 collision:1 minimum:4 numbers:1 arise:1 species:7 terrestrial:4 goal:1 rather:1 antiparallel:1 acts:2 1972a:2 upto:8 galactic:1 wiley:2 singularities:1 coming:1 inconceivable:3 short:3 lhc:1 negligible:1 specifying:1 fundamental:5 hofstadter:2 ith:2 soon:2 held:2 through:4 signs:1 existence:10 kinetic:1 its:17 jacobs:1 energies:6 boson:1 actually:3 detected:2 microscopic:1 might:2 supersymmetry:2 motivated:2 inelastic:1 yw:1 chromodynamics:1 easily:1 gets:1 always:1 presented:2 drake:3 chandra:1 radial:1 2m:1 referred:1 heavy:2 reactions:1 4πr3:1 accelerator:8 hadronic:2 energy:28 hard:6 macmillan:1 isospin:3 quantum:14 beyond:5 event:20 since:10 research:3 denoted:1 occurs:3 benjamin:1 members:3 beginning:1 doublets:7 pairs:1 1966b:2 relativistically:6 consequence:4 hadrons:10 major:1 feel:1 thereafter:1 number:12 dust:2 antiquark:3 prohibitively:1 temperature:4 jet:2 introduction:2 leading:2 interact:2 assumption:4 dt2:1 shifted:1 baryon:8 part:2 iliopoulos:2 observatory:1 annihilation:1 quarkonia:1 contrary:1 treated:2 motivation:1 electrodynamics:2 defect:1 notwithstanding:1 orders:1 depending:1 internal:5 analogy:3 antiquarks:3 electric:3 reach:2 most:1 charm:2 comparisons:1 nothing:2 extremely:1 stands:1 crossing:1 clear:1 unreasonable:1 km:2 electrons:7 brookhaven:3 charged:1 liberate:1 thomas:1 phenomenon:2 gold:5 muon:1 cdu:1 causality:1 factor:4 abelian:1 beams:2 closely:2 combinations:4 during:5 arxiv:1 oppenheimer:6 gell:4 doublet:1 set:2 unpublished:1 see:1 individual:1 accelerators:3 institutes:1 gravitation:3 positivity:1 various:4 flavoured:1 numerous:1 available:4 recently:1 uuu:1 attention:1 distinguish:1 uud:1 both:1 politzer:2 became:1 context:1 finds:2 volkoff:4 arbitrarily:1 point:12 simple:2 smashing:1 corresponds:1 proton:4 simply:1 throughout:1 pr:6 pp:1 helfand:3 pt:2 arrest:2 create:4 due:6 muons:1 ph:2 interparticle:1 wheeler:2 gas:3 precision:1 understand:2 1gev:1 p2:2 look:1 frozen:2 reliable:1 expanded:1 while:3 behavior:3 richter:1 riv:1 apjl:1 vanish:1 fermion:2 increased:1 lengths:1 belong:1 stimulated:1 glashow:1 neutron:14 higher:1 weinberg:4 arrived:1 purpose:2 lower:4 analysis:1 obviously:5 organization:1 parametric:1 2gm:1 distances:1 using:3 conclusions:2 source:2 big:5 couple:1 australis:1 helicity:2 rhic:9 follows:5 signal:2 methods:2 creation:2 back:3 bounce:3 understood:1 accelerate:2 quenching:2 measurements:1 per:1 proc:5 bb:1 bt:1 anything:2 novikov:5 range:4 consequently:14 david:1 into:14 nsd:1 uncertainties:2 statistics:1 question:3 long:1 occupy:3 bosons:3 collapsed:2 repeatedly:1 collapses:8 charmed:1 vmin:6 up:15 ud:2 similar:1 called:10 constant:9 kirk:1 points:1 grb:2 explaining:1 energetic:1 gross:2 generated:1 jastrow:1 suppression:2 fermi:3 structure:2 independently:4 implies:3 practically:2 physics:6 required:1 holes:1 equivalently:6 nasa:1 far:3 requires:2 having:6 gw:2 results:1 existing:1 gm:1 mesons:8 inferences:1 seemed:1 intensive:1 outwards:1 stable:8 continues:2 electron:8 crosses:1 entire:6 radii:2 mcallister:2 noted:2 concluded:2 smaller:8 sin2:1 narlikar:2 44m:1 earth:2 incidentally:1 dynamics:3 index:1 plays:1 chicago:1 experiment:2 3m:1 crossed:1 led:6 lee:2 degree:2 exchange:5 newyork:3 respectively:3 explore:1 objects:5 focused:1 separation:3 consideration:1 implicit:1 cern:9 larger:1 repel:3 resulting:2 definitively:2 opinion:1 composed:4 named:1 antineutrino:1 apj:1 apply:1 meson:3 confidence:1 asymptotic:2 usa:1 remains:1 next:1 aubert:2 process:4 doubt:1 decuplet:1 themselves:1 sort:3 becomes:3 occurred:1 hints:1 account:8 balls:1 ρg:1 alia:1 obvious:4 freedom:3 drops:1 tau:2 calculation:2 high:13 assumptions:3 six:2 lepton:4 located:1 instead:1 sin:1 blocks:1 realized:1 computations:2 light:6 brahms:1 move:1 produced:3 mentioned:8 lg:1 exclusion:12 decay:1 masses:2 relativity:3 qgp:2 resorting:1 greater:6 material:1 das:1 worlds:1 february:1 university:6 magnitude:5 editor:1 truth:1 disregard:1 traces:1 doing:1 bottomonium:1 transitions:4 special:2 out:6 rev:1 cause:1 announced:1 interactions:7 completely:1 york:3 8t:1 hubble:3 interaction:17 geometry:1 could:3 times:4 ravishankar:2 hence:7 phobos:1 manuscript:2 possessing:2 reaches:2 reached:2 reference:1 revealed:1 system:3 their:9 fermions:3 corona:1 noname:1 explanation:1 exactly:1 udd:1 manifestation:1 tacitly:1 solenoidal:1 holland:1 penrose:7 cimento:1 flavours:4 limiting:1 symmetries:2 su:3 need:1 apparently:1 rmin:11 min:1 mills:6 mechanism:3 gρ:1 detector:2 heisenberg:2 lectures:1 centre:5 collaboration:2 connected:1 1973a:1 1973b:1 eject:1 looked:1 mechanical:1 fact:11 maiani:2 scotti:3 based:6 should:3 postulated:3 emitting:3 local:1 equilibrium:4 means:9 overall:5 beam:1 words:3 years:2 qq:1 evolution:1 qr:4 densities:4 conditions:1 comprising:5 teams:2 qb:3 qg:1 contain:1 qi:4 qj:1 generations:3 view:4 withstand:3 requirement:2 national:1 packed:1 closer:1 interacting:1 pattern:1 thermonuclear:2 state:14 neither:1 emitted:2 physicist:1 lc:2 observable:1 limits:1 freely:2 taking:2 equal:2 attributed:1 hypothesize:1 co:7 cm:19 cc:1 cg:1 cd:1 decreases:5 meantime:1 singlets:2 tremendous:1 treat:1 hawking:9 eightfold:1 isolating:1 arises:3 corresponding:6 sufficient:1 subspace:2 νee:1 c3:1 c2:12 present:3 unlike:3 value:3 will:19 ultra:1 vc:1 examines:1 almost:4 thus:7 surface:2 gluonium:1 contention:2 perhaps:1 began:1 radiation:4 cross:3 strange:1 pauli:12 largest:1 units:2 finite:7 difficult:1 ball:2 columbia:1 upon:1 effect:1 ion:1 infinite:10 frequently:1 expand:3 geroch:6 colour:28 well:11 thought:3 experimental:3 sets:2 position:1 arising:1 drawing:1 latest:1 spherical:2 newest:1 less:3 sources:1 underlying:1 glue:1 density:18 thermodynamics:1 combine:1 attractive:1 ought:1 definitive:1 fate:1 smithsonian:1 increases:6 gaillard:2 denser:4 press:3 like:6 success:1 alternatively:2 become:4 nucleons:5 parity:3 exceed:1 because:5 qed:2 classical:2 proper:4 star:24 peter:1 neglecting:1 happens:6 jeremy:1 lead:3 does:4 assuming:1 demonstrated:4 obey:1 june:1 expansion:1 pressure:17 although:1 analyses:2 stage:6 about:2 actual:3 universe:5 introduces:1 damp:1 equally:1 strangeness:4 h0:2 tiny:1 bombay:1 additional:2 elastic:1 snyder:2 innes:2 inner:1 north:1 but:16 volume:8 pk:3 he:1 made:8 gravitational:22 variations:1 below:1 converted:4 limit:11 mechanics:1 pij:2 charmonium:1 inadequate:1 mutual:1 detail:2 other:14 details:1 conclusion:3 kinds:1 radially:2 shown:5 5gev:2 coupling:1 rule:4 indirectly:1 |
0704.1662.txt |@word monte:1 partial:1 systematic:3 lagrangian:1 focus:1 edm:7 four:2 gf:1 rebbi:1 contributions:1 consider:4 vev:8 whose:1 calculate:1 former:1 charge:1 maryland:3 updated:2 zhang:2 far:1 soni:4 intriguing:1 barenboim:3 maskawa:1 every:1 scholarship:1 mixing:29 difference:2 matrices:4 condition:1 tran:1 level:1 xiangdong:1 proposals:2 solution:5 large:6 solved:2 small:6 relation:1 cms:1 h12:1 sin2:1 direct:1 sign:6 approximation:2 second:4 enhancement:1 further:1 carlo:1 tev:9 theory:1 even:1 lellouch:1 λrl:1 diag:6 senjanovic:2 expressed:1 ecker:1 henceforth:1 consistently:1 above:11 new:7 appeal:1 method:1 nakamura:1 κh:3 lee:3 mwr:9 respectively:2 here:2 explore:1 mev:1 china:1 pati:2 ratio:1 quark:32 equations:1 appears:1 logarithmic:1 box:5 institute:1 study:3 studied:2 allows:3 accomplished:1 wl:5 published:2 usually:1 hospitality:1 chang:2 studies:2 quotient:1 via:1 family:2 extra:1 apr:1 requiring:1 unitary:2 neutrino:1 meson:8 kobayashi:1 readily:1 use:1 asymptotic:1 usa:1 remains:2 contains:1 negative:1 few:2 nucl:5 therefore:2 qcd:3 taken:1 survive:1 type:1 theoretical:3 more:2 buras:2 relax:2 operators:3 kayser:1 known:2 cases:1 given:1 garron:1 md:6 account:3 rotational:1 mc:8 mb:5 equation:5 work:4 modified:1 mk:2 salam:1 mu:6 mt:9 mw:3 values:1 three:1 ms:6 mr:4 following:2 making:1 spontaneous:8 beall:2 beijing:1 renormalization:1 predict:1 high:4 numbers:1 occur:1 regularization:1 breaking:2 utilize:1 fermion:1 lepton:2 very:4 hou:1 frere:3 iθ2:1 iθ3:1 iθ1:1 parameter:7 sin:20 matias:1 may:2 after:2 derived:3 demanding:1 diagram:5 corrections:2 produce:1 lat:1 summarize:1 data:2 yaouanc:2 natural:1 third:2 higgs:16 ss:7 prefers:1 counter:1 explicit:4 su:7 st:8 sj:1 so:2 sm:6 sc:4 sb:2 acknowledges:1 order:17 talk:1 sd:9 nsfc:2 hierarchy:1 over:1 soon:1 years:1 dv:1 paper:2 including:4 θw:1 signs:1 existence:1 still:1 diagonalized:1 perfect:1 derive:2 group:7 decay:3 energies:1 interesting:2 masses:8 conjugation:1 li:2 forms:1 pene:2 strange:3 lr:4 systems:1 total:1 renormalizable:1 decades:1 warrants:1 supersymmetry:1 ly:1 violating:9 motivated:1 feature:1 nov:1 now:3 easily:1 february:1 university:5 hamiltonian:1 peking:3 each:1 found:1 entirely:2 side:1 constraints:1 heavy:1 domain:1 square:1 hadronic:3 energy:7 related:2 decays:2 expect:1 assumption:1 beyond:1 eq:1 out:1 shown:1 matrix:16 factors:1 since:1 induces:1 detailed:1 content:1 replacing:1 posteriori:1 rl:1 ref:2 red:1 m2c:1 linear:2 diagonal:2 possibility:2 standard:5 acharya:1 complicated:1 term:1 element:3 estimate:1 earliest:1 remainder:1 generate:1 deshpande:1 interaction:2 chiral:2 sahoo:1 olness:1 impose:1 phy:1 leading:8 hence:1 yue:1 neglect:2 colliders:1 first:7 major:1 features:1 symmetry:8 xc:2 number:1 approximate:1 least:1 another:4 little:1 unknown:1 top:1 system:1 construct:2 intermediate:1 calculations:1 aλ3:1 aλ2:1 scheme:3 recovered:2 urban:1 grant:3 mostly:1 asymmetric:1 baryon:1 explanation:1 park:1 part:1 gninenko:1 lhc:1 than:4 coefficients:1 center:2 relative:1 babich:1 effective:1 iteration:1 zero:1 limiting:1 inversely:1 matter:1 were:1 lowest:1 generality:1 maharana:1 reno:1 conjugate:1 seen:1 constrained:2 orders:1 depending:1 scpv:8 thoroughly:1 latter:1 note:2 potential:3 negligible:1 blue:1 shall:1 collaboration:1 neutrinos:1 most:4 petrov:1 involving:2 charm:1 significant:3 phase:12 analytically:3 fk2:1 λlr:1 ckm:8 clear:1 implications:1 kl:3 ks:1 principle:1 exp:5 constrain:1 left:17 physics:8 fact:2 sector:2 signatures:1 particularly:2 violation:11 supported:3 bring:1 gauge:5 solutions:5 constituent:1 find:3 current:1 gilman:1 finally:3 based:2 parameters:5 gorbahn:1 ball:1 bernabeu:2 only:3 explicitly:1 rich:1 factor:1 partially:2 dn:1 dominant:1 gev:2 simplest:1 expectation:1 kiers:2 expects:1 ones:1 nearly:1 report:1 2mk:1 aλ:2 ds:1 ssb:2 emd:5 qr:1 bar:1 fields:1 arxiv:4 analytical:1 through:4 fixed:1 ql:1 doublet:6 multiplying:1 modulo:1 reference:1 tree:1 langacker:1 rmb:1 depends:2 college:1 result:3 close:1 best:1 phases:9 satisfying:2 interacting:1 definite:1 dipole:1 yet:1 symmetric:6 various:1 between:5 progress:2 justified:1 before:1 approach:3 multiplied:2 triplet:1 terms:2 aesthetic:1 weak:2 however:3 wu:1 concentrate:1 hypothesis:1 wr:12 both:4 cos:1 improved:1 many:1 uncertainty:2 asymmetry:1 mixings:6 ln:3 dated:1 receives:1 ψks:2 contribution:11 hφ:1 finds:3 experimental:5 ji:2 strongly:1 cm:1 wall:1 dimensional:1 grants:1 simply:1 boson:5 cp:32 considers:1 better:1 strong:1 collider:1 decoupling:1 pu:2 decent:1 radiative:2 due:3 been:3 int:1 describes:1 combined:1 pd:2 ph:2 fig:3 dots:3 obtained:2 generating:1 θi:1 families:1 kaon:5 θc:1 sufficient:1 2ir:3 precision:1 grimus:1 cancelations:1 angles:1 nierste:1 kirsanov:1 extensive:1 present:3 case:5 exception:1 pacs:1 solid:1 value:4 spontaneously:2 will:3 while:1 error:1 couplings:2 identical:1 redefinitions:1 larger:1 vl:3 non:3 vr:8 im:1 k0:3 different:3 recover:1 sensitive:1 make:1 hoelbling:1 lett:4 same:8 parameterize:1 unity:1 complex:6 finite:1 pal:2 neutron:11 hermiticity:1 independent:3 calculation:3 literature:3 pospelov:1 raidal:3 numerical:1 hand:3 moment:1 uses:1 infinite:1 changing:2 lower:1 modes:1 expression:2 δckm:1 well:5 without:2 solve:4 comes:5 model:18 sankar:1 charged:1 less:1 generally:4 λc:1 transforms:1 flavor:2 vˆr:4 previous:1 rapid:1 consequence:1 except:1 lattice:2 interested:1 attractive:1 matveev:1 violations:2 mod:1 real:4 tests:1 yukawa:3 definitive:1 demands:1 iα:2 phenomenology:3 possible:3 iη:4 makes:1 assis:1 vacuum:2 using:6 apart:1 loss:1 like:1 systematically:1 manifest:6 yields:3 become:1 2iξ:1 parity:4 right:28 methods:1 namely:1 discrete:1 righthanded:2 b4:3 kolb:1 eiα:2 scale:3 dimensions:1 quarks:2 comments:1 does:2 uma:1 assuming:1 cabibbo:2 minimal:4 bd:3 krasnikov:1 june:1 bi:5 expansion:2 broken:2 oliver:2 jager:1 bs:1 hadron:1 constrains:1 about:2 central:1 constraint:4 entailed:1 mohapatra:5 howard:1 o:5 le:2 cancelation:1 a2:3 marshak:1 ndr:1 other:2 sensitively:1 rev:23 presence:2 into:2 within:1 rotations:2 bound:13 nsf:1 predictions:2 down:2 remarks:1 hermitian:5 because:5 operator:1 proportional:1 conceptually:1 hep:4 additional:5 vˆ:1 support:2 there:8 transform:1 much:1 low:4 triplets:2 was:3 assumes:2 naturally:1 function:1 bander:1 elsewhere:1 form:2 but:2 hu:2 neutral:4 hierarchical:3 vevs:1 factorized:1 made:2 uu:3 inside:1 bounds:2 us:1 below:1 limit:5 similar:5 calculated:1 ex:1 originating:1 defined:1 stronger:1 abstract:1 general:7 single:1 exist:1 our:1 dγ:1 physical:1 no:4 raynal:2 when:11 green:1 handed:20 reality:1 valid:1 electrical:1 suppress:1 department:2 defg02:1 gunion:1 naive:1 elements:3 calculating:1 models:2 αem:1 update:1 deriving:2 generated:2 restoration:1 prades:1 structure:4 coupling:1 assume:2 baker:1 required:2 pseudo:2 together:1 mass:16 time:1 observables:4 requires:1 |
0704.1663.txt |@word neighbors:7 monte:8 concept:1 sci:1 consider:2 chain:33 maximum:3 melts:2 rev:4 forbidden:1 global:3 dynamic:1 results:6 illustrated:1 facilities:1 strey:1 manages:1 overlap:1 broader:1 consists:1 gyration:3 expressions:1 scv:1 contributions:1 causes:2 gr:1 compact:3 whose:1 preserves:1 monomer:53 effort:1 segments:4 equilibration:1 environment:1 finally:2 does:6 preserved:6 th:1 under:1 indicating:1 summarizes:1 activities:1 supported:1 evolves:1 kcm:3 activation:1 modes:1 exception:1 focus:1 cellular:1 experimentally:1 difference:1 exact:1 condition:1 entire:2 europhys:1 hamiltonian:2 positions:1 anisotropy:2 t3:1 correct:1 leave:1 contexts:1 vector:3 second:3 small:3 biological:1 10µm:1 configurations:1 upper:1 glassy:5 says:1 ten:2 consistent:4 direct:1 claudio:2 approximation:1 imply:1 further:1 dynamics:18 chem:1 carlo:8 linear:1 even:5 will:2 what:1 sub:3 organisms:1 section:6 axes:1 fingers:1 melt:4 find:4 cell:2 waiting:6 above:3 method:1 new:3 increasing:2 consisting:1 contrast:2 movement:2 full:1 chose:1 averaging:3 respectively:1 realizations:2 spacing:3 equals:1 here:5 understanding:1 ranges:1 following:2 explore:1 tangent:51 making:1 directions:2 path:3 along:10 observing:1 appears:1 change:3 extreme:3 box:45 solid:2 colored:1 broken:1 shift:2 study:7 studied:3 allows:2 approaches:2 suggests:2 amount:1 resulting:2 tw:41 usually:1 gene:1 measuring:1 cause:1 composed:1 via:3 followed:2 scales:14 manage:1 visibly:1 highly:3 logarithmic:1 addressed:1 suggestive:1 plots:1 clockwise:3 unit:1 plot:1 use:4 nxi:2 dna:2 takes:2 usa:2 distinct:1 positive:2 destination:1 spacings:5 predictions:1 cory:1 eleven:1 depicted:1 noting:1 call:1 therefore:6 characteristics:2 films:2 emerges:2 msd:1 theoretical:6 minor:1 more:7 separated:2 introducing:1 initiated:5 becomes:3 apparent:1 semilogarithmic:1 visibility:1 glass:2 reversible:1 normalized:2 varying:1 known:2 cases:1 encountered:2 iii:2 must:3 sample:1 ma:2 room:1 mc:2 indicates:1 indexed:2 avoiding:2 getting:1 modified:2 remain:1 values:10 thin:2 reshaping:10 concepts:1 growing:1 confining:2 flory:2 root:4 example:5 bend:1 nearest:4 compare:1 wang:1 indicated:1 give:1 process:2 chip:1 high:21 effectively:1 cube:1 attain:1 hides:1 allowed:7 ngai:1 normalize:1 aging:4 needs:1 andersen:2 pure:2 brandeis:1 interacts:1 holds:1 very:13 hop:4 ritort:2 instead:3 ignore:1 ensemble:4 translocation:1 belongs:1 profile:1 simplicity:1 supercomputer:1 mat:2 may:5 quantified:1 after:5 lab:1 applications:2 plane:1 kcms:1 fits:3 end:10 summarize:1 law:5 parallel:5 castelnovo:1 short:3 jiang:1 outline:1 four:2 their:1 rather:2 ones:1 so:3 allow:2 correlation:28 region:1 order:8 turns:1 chakraborty:2 tagged:2 indeed:2 over:14 insight:2 choose:2 paper:7 through:8 statistical:1 signs:1 differs:1 existence:3 kinetic:2 still:3 its:9 before:5 highlighted:1 longitudinal:6 thank:1 fit:2 how:1 chosen:3 highlights:1 seperation:1 exhibits:6 li:1 absence:1 parts:1 fig:36 main:1 might:1 deformation:1 eur:1 non:3 good:3 running:2 adjacent:1 severely:1 propose:1 introduce:2 primary:3 scaling:2 walls:1 repulsive:1 effects:2 they:3 oxford:1 grows:1 thus:1 discuss:1 subordinated:1 antiparallel:1 february:1 several:1 2r:6 profound:1 fully:3 university:5 presented:1 arrows:1 identified:1 labeling:1 displacements:2 vibrations:4 mode:4 each:15 found:4 difficult:1 decreasing:1 side:1 bond:3 square:25 determine:1 visually:1 series:1 energy:1 displacement:23 snapshots:3 solution:1 constitute:1 literature:1 static:1 expect:1 measurement:6 loops:3 our:9 happen:1 beyond:1 eq:2 adequately:1 out:4 living:1 shown:16 matrix:2 space:4 quantify:1 since:5 squared:1 semi:1 vessels:1 particles:4 attracted:1 muthukumar:1 emerged:1 thermodynamic:2 forth:1 occurs:4 red:1 shows:7 theory:1 kondev:1 mechanisms:2 differ:2 free:3 peculiarities:1 completely:3 carried:1 epsrc:1 enhance:1 cremer:2 approach:1 beginning:2 finite:1 forbids:1 definition:1 rearrangements:3 grained:2 r2:2 connectivity:5 geometry:10 similarly:1 success:1 times:15 motion:31 length:3 place:3 isotropic:2 removing:1 undergo:1 rudolf:1 stuck:1 first:1 degree:1 biroli:1 major:3 initial:8 demonstrating:1 third:1 subtlety:1 number:6 reaches:3 clear:1 smaller:5 done:2 specifically:1 another:1 representations:1 reached:2 open:11 horizontal:1 size:13 sol:1 given:7 necessarily:2 width:2 introduction:1 top:3 kob:2 system:11 approximately:1 indicate:1 intermediate:7 rates:1 too:2 time:47 structures:2 final:1 listed:1 exploring:1 fraction:1 relative:4 unoccupied:3 immediate:1 emergent:1 sx:8 rizos:1 translation:8 believe:1 than:10 dynamical:1 diffusion:12 distance:4 scenario:1 plateaux:1 sections:2 require:2 older:2 rate:3 preformed:1 preparation:1 mobility:1 constraints:1 were:4 toward:1 treated:1 peierls:1 lowest:2 troublesome:1 modeled:1 entail:1 ran:1 fluctuation:2 occupies:1 measure:5 curves:2 randomly:1 unlikely:1 qualitatively:1 take:2 seem:1 constrained:7 occupied:2 any:5 relatively:1 forced:1 triggered:1 zero:3 depending:1 efficient:1 studying:1 self:3 responsible:2 able:2 isolated:1 mechanism:2 note:4 instance:2 without:3 analog:1 forces:1 xi:8 green:1 diffusive:4 persistence:5 blue:2 begin:1 exactly:3 chromosomes:2 centre:1 enter:2 reach:3 systems:3 falls:1 most:1 involving:1 connected:3 significant:1 circled:1 transverse:4 segment:1 bezrukov:1 branching:2 equilibrated:1 observation:1 32d:1 mobile:2 behaves:2 average:8 flow:1 pores:1 points:4 subsequent:1 toninelli:1 tubes:1 naively:1 fact:4 subdiffusive:2 hyper:1 particularly:3 phenomenon:1 show:6 violation:1 text:3 appendix:1 random:4 attempts:2 faster:2 shi:1 carefully:1 unconnected:3 trivial:1 networks:1 decade:1 subtracting:1 symmetric:1 trying:1 based:1 notice:5 folded:2 topological:1 increasingly:1 only:11 explicitly:2 factor:1 circle:3 local:8 proximity:1 rectangle:2 equilibrium:4 do:4 move:14 dominant:3 goes:1 simplified:1 membrane:1 overall:13 wiggly:1 cannot:2 negative:1 words:1 consecutive:1 during:3 averaged:1 gen:1 secondary:3 processes:1 de:2 densities:42 introduced:1 fields:1 arxiv:1 comprising:1 yield:1 checks:1 saturates:1 contain:1 including:1 fixed:2 temporarily:1 computed:1 retracts:1 sep:1 undergoes:1 violated:1 respect:1 ends:3 lett:3 freeze:2 plausible:1 namely:5 individual:5 radius:4 result:1 discussions:1 close:10 limiting:2 satisfies:1 packed:4 exponent:4 nuclear:1 sites:12 µm:2 enough:1 smallest:1 finger:5 closed:16 between:10 drawn:1 boundary:3 avoidance:1 conditions:1 across:1 available:1 comparable:3 terms:1 vertical:1 nature:4 initially:1 modify:1 arises:1 attention:1 however:11 js:1 smeared:1 realization:5 reproduces:1 leads:1 interface:1 outer:1 configuration:11 suppressed:1 topology:1 both:2 essentially:2 reverse:1 many:4 taking:2 conclusions:2 packing:7 connection:1 dated:1 interesting:1 contribution:3 whole:1 zˆ:1 otherwise:1 arbitrarily:1 cn:4 conclude:1 cc:2 reptation:21 corresponds:3 environments:1 walk:1 dimensional:5 represented:1 anti:1 invariant:1 cs:15 constant:2 throughout:2 shrinks:1 ensures:1 immobile:1 geometries:2 chirality:4 due:9 been:4 quickly:1 microfluidic:1 montecarlo:1 much:2 slowly:1 coarse:3 interest:1 boston:3 expected:1 flexible:1 empty:4 define:10 obtained:1 direction:6 contribute:1 corresponding:1 reaction:1 quantities:1 sufficient:1 fluctua:1 gas:4 reaching:1 confinement:7 systematic:2 despite:1 maximally:1 diffuse:4 present:2 case:3 highest:6 placing:2 macromolecules:3 frozen:3 straight:1 tip:2 appearance:1 value:18 employ:1 while:7 ar:1 suppose:1 behavior:14 colloid:1 situation:4 inspired:1 loop:3 polymer:61 concurrently:1 larger:5 orientation:2 prevalence:1 almost:1 vi:2 tions:1 site:6 discrepancy:1 iv:2 ii:2 middle:1 vs:1 cond:2 seen:4 xy:1 vanish:1 technology:1 increased:3 kinetically:7 capture:1 different:8 grant:2 generic:1 large:12 reichman:1 cross:2 same:10 clearly:6 shorter:1 complex:1 arguments:1 units:1 proved:1 gets:1 events:7 higher:6 independent:3 slows:2 used:3 see:4 comprehensive:1 numerical:1 effect:4 respected:1 edges:1 moving:3 infinite:2 invariance:6 lower:1 mech:1 center:6 hopping:2 largely:5 nevertheless:2 changes:3 no:7 well:11 roughly:1 thought:1 observations:1 edge:2 consistency:1 position:7 model:25 distances:3 kalb:1 less:3 being:2 captures:2 observed:5 starting:1 press:1 shape:10 immediately:1 cp:3 useful:1 alternative:1 forrest:1 emergence:1 reduced:2 adv:1 visualization:1 enters:1 density:23 cornell:1 point:8 except:2 lattice:19 armin:1 potential:1 plateau:8 samples:1 save:3 generalized:1 identical:2 saturation:4 explained:2 insensitive:1 around:4 depends:1 checking:1 advances:1 achieved:6 possible:4 period:1 resembling:1 increases:5 makes:2 background:7 reliable:1 confined:22 using:7 part:2 whitesides:1 like:8 particle:7 sizes:5 systematically:1 polymers:19 seek:1 shapes:1 imposes:1 steps:7 always:2 rearrangement:1 become:1 odijk:1 inter:1 waltham:1 depend:1 because:9 old:2 decorrelation:2 sequence:1 creation:1 phenomena:1 back:2 certain:1 understood:3 towards:1 fingering:11 moreover:1 multiple:1 extended:1 transport:1 alternates:1 viral:1 gradually:1 scale:7 jeremy:1 dimensions:8 bottom:3 purple:1 broad:4 tube:3 measurements:3 per:1 instantaneous:1 equal:2 exit:1 yields:1 ct:5 chains:13 survive:1 capsids:1 slower:1 run:1 power:6 graining:1 equivalent:1 unconfined:3 perpendicular:1 anticlockwise:1 cryst:1 restrictive:1 step:2 although:2 accompanied:2 described:2 post:1 finding:1 properties:3 science:1 comparison:2 actual:1 would:6 extension:1 constraint:3 sinst:1 discussed:1 factors:1 simulation:2 compatible:1 plus:1 greatly:2 neighbor:8 monotonically:2 mean:18 op:3 computational:1 additionally:1 follows:4 into:1 within:8 numerically:1 attains:1 nsf:1 three:2 down:3 lies:2 right:1 primarily:4 contributor:1 reducing:1 shrinking:4 ellipse:2 gennes:2 bends:2 fast:1 log:2 prepare:1 measured:2 there:3 question:1 long:3 start:1 decay:8 low:10 way:2 formed:2 was:2 function:26 jones:1 form:1 removes:1 but:6 volume:1 monomers:33 magnitude:1 scope:1 forbidding:1 sollich:1 line:3 rouse:2 kremer:1 considerable:2 subtracted:1 begins:1 arranged:1 qualitative:1 embedded:1 whether:3 inside:2 smooth:1 up:6 us:5 work:1 dmr:1 decays:1 limit:6 reflects:1 uk:1 fluctuations:2 problem:2 similar:4 display:1 strongly:4 storing:1 interval:5 associated:1 classic:1 defined:8 sxi:2 abstract:1 describe:1 moved:2 remove:1 denote:1 biophys:1 single:10 oretical:1 promised:1 simulations:7 moves:6 check:1 chromosome:1 regime:1 again:1 functions:4 compared:3 paradox:1 variety:1 dashed:5 whereas:1 acknowledgments:1 when:5 detail:2 event:4 nx:1 field:22 shaded:1 other:11 genome:1 normal:1 suppress:2 department:2 shrink:1 picture:2 stat:1 elements:1 separate:1 models:4 backbone:8 visits:1 develops:1 nucleus:2 allowing:1 suppression:1 vectors:1 previous:1 fisher:1 fundamentally:1 participates:1 independently:1 correlated:1 longer:7 algorithm:1 assume:2 physics:5 required:2 curve:3 governed:1 having:1 observe:4 mass:4 lying:1 resembles:3 quantity:1 requires:1 original:3 once:3 |
0704.1664.txt |@word secondly:1 extrapolated:1 limited:2 capaccioli:2 squared:1 luminosities:4 dynamic:4 four:3 increase:3 calculate:6 ergs:2 ngals:1 presents:1 under:10 every:5 summarized:3 bringing:1 squares:3 heasarc:1 cmd:17 solution:2 unsharp:1 cmr:4 aeronautics:2 miller:2 consistent:14 estimates:6 direct:1 budget:5 surrounding:1 likely:15 estimated:1 theory:3 even:3 errors:17 ned:1 selected:4 above:12 zoomed:1 new:2 increasing:5 ever:1 seeks:1 shocks:1 coefficient:11 evolving:6 residual:1 here:11 active:1 interpret:1 obtained:2 feretti:1 study:1 changed:1 adopt:6 california:2 settled:1 100kpc:2 9h:1 prints:1 rosenberg:1 explained:2 highly:1 brought:1 remnant:1 counts:8 total:48 plot:8 would:11 likelihood:1 occupying:1 m1:22 therefore:22 m3:21 m2:3 calc:2 type:19 until:1 fractions:25 populations:6 composite:1 disruption:2 ward:3 must:2 abundance:1 work:7 mi:1 temperatures:1 mr:7 exceptions:1 akin:1 hansen:1 example:5 indicated:1 milosavljevi:2 barbera:1 indicates:1 want:2 magnitudes:33 keep:1 absolute:1 end:2 provide:1 unmasked:1 pedersen:1 feature:1 how:4 hot:5 rudick:8 answer:1 symposium:1 merritt:2 crowding:1 earlier:1 confirmed:4 diagram:6 summarize:1 meaningful:2 types:1 las:2 attempt:2 third:11 schneider:1 summing:2 correlation:24 order:10 willman:7 interpretation:2 feedback:1 enter:1 over:23 vary:3 proportionate:1 before:3 fit:38 fix:1 better:1 production:2 fig:23 hidden:2 supercluster:1 clude:1 versus:13 them:3 hawthorn:2 affected:9 combination:2 prevented:2 break:3 band:43 effects:6 they:19 oemler:4 represents:2 den:1 brightness:62 backgrounds:1 reasonable:1 each:43 went:1 mean:13 telescope:8 fairly:1 series:1 used:14 combining:2 navy:1 laboratory:1 unbound:2 driving:1 gradient:5 quantify:1 rvir:4 murante:9 particles:1 re:1 reader:1 foundation:2 linear:7 surveys:3 free:2 standard:6 andreon:2 ecliptic:1 formation:20 subclumps:1 detecting:1 tornatore:1 telescopes:1 degeneracies:1 sodr:1 created:1 days:1 filter:4 xue:1 incorporated:1 corrections:4 onto:1 mellier:1 grado:1 already:3 features:5 rank:9 warped:1 landolt:1 another:2 sutherland:1 strasbourg:1 similarly:1 top:5 approximately:5 compromise:1 observations:14 10c:1 1e:1 ranging:10 exposures:4 a4059:13 collapse:3 centered:8 took:1 binned:2 gyr:1 cheng:1 distance:1 showed:1 participated:1 database:2 nofs:1 zero:10 zaritsky:1 project:2 classes:1 busarello:2 tion:1 10th:1 ram:1 manner:3 seen:4 seem:1 tells:1 relatively:1 strength:3 responsible:1 isolated:1 fitting:3 causing:2 forces:2 effectiveness:1 blue:12 exactly:1 object:8 prohibitive:1 tozzi:1 phase:2 don:3 observation:1 calculated:6 accounted:1 principle:1 section:1 incomplete:2 lewis:1 random:2 infrared:1 implying:1 colors:7 radio:3 solutions:2 barkhouse:1 richnesses:1 ıguez:2 sphericity:1 hrs:1 jection:1 burkert:1 braine:1 do:29 fossil:1 de:7 stop:1 despite:4 isophotal:2 du:3 unfortunately:2 runs:3 nicely:1 fields:1 dupont:1 twice:2 analytical:1 mergers:9 reference:1 sensitivity:2 detection:26 depends:2 radius:43 result:4 best:5 subject:3 propulsion:1 away:1 symmetric:2 catalogue:1 unable:4 drawn:2 discovery:1 extend:3 nature:2 iraf:3 mcbride:1 weak:4 however:14 southeast:2 wu:2 ellipticity:2 extent:1 clues:1 modeling:1 ranges:1 ohringer:5 uncertainty:12 space:5 against:2 merging:6 contribution:5 disappears:1 presumably:2 timescale:1 had:4 quinn:2 polynomial:1 testable:1 5m:1 symbols:1 radiative:1 three:16 been:19 much:5 progenitor:3 expected:7 dynamically:12 5e:2 reddening:1 applied:3 exception:2 castro:2 near:6 aid:1 gerhard:3 property:1 procedure:1 seven:1 enßlin:1 tions:1 sekiguchi:1 ii:9 voges:1 ie:2 containing:1 perform:1 make:4 cumulative:2 clearly:4 potentially:3 split:2 several:1 grows:2 evolve:2 peaks:4 numerical:1 differing:5 hand:1 koehler:1 phillipps:1 kim:1 normalization:1 sextractor:5 weakly:1 shortly:1 changes:1 simulated:2 left:3 just:6 yee:1 assigned:2 identify:3 spherically:1 scattering:1 yet:1 adding:1 monitored:1 classification:1 infinitely:1 bandpasses:1 dubinski:3 passive:2 spread:2 easy:1 evidenced:3 5b:1 l83:1 gregg:2 bands:9 breaks:1 online:1 disagreement:1 possible:11 possibly:4 boxes:2 background:38 ascending:2 specific:2 night:8 awarded:1 beneficial:2 right:4 old:2 brightest:7 statistic:2 harassment:1 dense:3 icm:1 icl:336 opposite:1 dupke:1 totals:1 core:4 particular:1 rosat:3 shifting:2 super:1 properties:25 surround:1 plus:4 slightly:3 poggianti:3 raised:1 contains:2 presence:12 obtaining:1 bound:1 down:1 pimbblet:3 unambiguous:1 discrepancies:1 gis:1 support:3 interlopers:1 width:6 way:6 astrophysics:2 was:22 kempner:1 lowest:2 underestimated:1 medium:1 form:6 lowdensity:1 forming:6 becoming:1 differences:3 aperture:1 solar:1 removed:2 true:11 fort:1 versions:1 represent:3 inside:17 tell:1 katgert:2 stages:1 emit:1 separated:2 perea:1 gnedin:4 liberal:1 moore:5 corwin:1 abstract:1 evidence:8 exist:2 simulations:10 distributions:5 check:1 triangles:1 physical:10 weakened:1 no:30 whereas:4 when:5 ne:1 pasadena:1 role:1 rold:2 papers:1 test:7 picture:1 models:4 uniformly:1 rising:1 dissipation:1 diamonds:2 billion:1 younger:1 longer:2 assume:6 sigma:1 bottom:6 together:5 stripping:5 time:21 peacock:1 global:6 focus:1 leads:3 mild:3 morphology:12 row:1 arcsec:26 technique:1 giuricin:2 environment:1 umich:1 advantage:1 choice:2 anonymous:1 stays:1 dim:3 clouds:2 presented:2 did:2 standards:1 quick:1 prevent:1 heinz:1 trend:16 rood:3 ubiquitous:1 prediction:3 widened:1 targets:1 substitute:1 appear:6 uniform:3 current:5 goes:2 falling:2 morgan:15 perpendicular:1 groups:27 teague:2 along:7 appears:4 change:7 institute:3 shift:2 lokas:2 funded:1 hydrostatic:1 plotted:12 tasks:2 regardless:3 extra:2 marked:1 histories:1 zibetti:4 plots:14 illumination:10 bernard:1 give:1 rethe:1 france:1 criteria:1 selects:1 theoretical:3 diagrams:2 outweighs:1 vmag:3 afford:1 acceptable:1 visual:1 department:1 cases:10 annuli:6 clumps:12 avoiding:1 values:17 9th:1 following:2 making:1 nearest:1 figure:38 predict:2 chip:2 moffat:2 sample:50 dropped:1 coincident:2 olowin:2 spanning:1 conversely:2 occur:1 arbor:1 discussion:8 massarotti:1 fourth:2 parameter:1 inputs:1 substructure:5 may:10 southern:1 membership:24 produce:2 mag:26 data:41 grow:2 outline:1 correlate:3 cosmology:1 inform:1 so:12 definitions:1 pulled:1 typical:2 wavelengths:2 lsb:3 cutoff:1 indeed:2 thresholds:5 mainly:1 years:1 stability:1 statistical:3 peterson:1 still:4 observational:4 group:16 thank:1 mardirossian:2 acknowledge:1 interesting:7 encompasses:1 decreases:2 forms:1 larsen:4 maia:1 dwarfs:1 main:3 brinks:1 happened:1 non:21 adjacent:1 thereby:1 rotations:1 evolution:22 scaling:1 tails:1 half:2 now:3 discuss:8 nor:1 name:1 campanas:2 drop:1 realistic:1 quarter:18 mamon:2 individually:4 weighted:1 significantly:4 perlman:1 ed:1 eg:2 mezzetti:7 year:1 wavelength:1 gonzalez:6 shown:14 napolitano:1 jackson:1 m500:2 factors:1 furthermore:3 interference:1 looking:1 collisions:1 m200:2 dominate:1 correct:1 shows:30 after:4 goto:2 mechanisms:5 possibility:1 quite:1 complicated:5 willmer:1 remainder:1 advance:1 widths:1 turn:2 place:1 massive:2 sersic:1 first:12 origin:1 lunds:1 reveals:1 opez:1 comprised:1 directly:5 a2744:2 open:1 minimizes:1 size:7 given:10 necessarily:1 structured:1 indicate:4 cooling:1 draft:2 1g:1 iau:1 1h:4 white:1 structures:3 national:4 gives:10 tormen:1 fraction:49 mostly:1 dolag:2 continuous:1 cmds:2 representing:2 than:72 population:5 wide:2 l41:1 effective:1 1m:1 require:2 were:37 pre:1 cayatte:1 pro:1 locations:1 say:2 ac114:12 allen:2 recover:1 any:14 isophotes:8 converges:1 note:7 potential:5 take:2 observationally:3 relaxed:8 airmasses:1 multiple:12 trace:1 normal:1 track:1 price:1 decreasing:2 paid:1 falls:1 detect:5 printed:4 latex:1 surprising:2 considered:5 average:32 later:2 implications:1 typeset:1 a141:5 maddox:3 conservatively:1 typically:2 slope:9 show:21 friction:1 bright:16 inconsistent:2 threshold:16 corner:3 xmm:1 infor:1 ratio:3 plume:1 enough:15 only:21 explicitly:1 black:2 centrally:5 get:3 cannon:1 morphological:3 cannot:3 distinctly:2 secondary:2 reveal:1 median:3 summary:2 predicted:7 muriel:2 rms:2 bautz:16 noisier:1 physically:4 relative:3 namely:2 actively:1 900s:2 violates:1 ability:2 αr:1 extragalactic:1 review:1 definite:1 importance:1 outside:4 between:38 justified:1 across:7 fardal:1 vertical:1 dome:1 inseparable:1 analyzed:1 virial:26 come:4 pixels:12 concentrated:4 resides:2 many:2 region:11 contract:2 biviano:1 σv:1 comes:1 nearby:3 among:7 stretches:1 color:79 period:1 sampling:1 anti:3 70km:1 cancel:2 constant:2 intracluster:7 west:2 absence:4 sheth:1 lahav:1 distinguishing:1 combined:11 direction:3 6e:1 6h:1 6i:1 formed:11 photon:1 observe:1 careful:1 diffuse:19 those:38 case:3 bisecting:1 profiles:47 ongoing:8 report:1 maximal:1 characteristics:6 discrepancy:1 cluster:244 bias:14 converts:1 loosing:1 furlanetto:1 technology:2 binary:2 different:15 dithering:2 onghia:3 virialized:1 same:41 archive:2 shifts:3 epoch:7 streams:1 status:1 visually:1 extended:5 driver:3 barger:1 constraining:1 changing:1 govoni:2 roughly:17 l109:1 without:10 components:4 masks:5 ccd:5 model:5 overcrowding:1 being:8 generally:2 actions:1 summed:4 durrell:2 photons:1 except:4 2df:2 plumes:1 swope:6 momentum:4 real:3 around:10 outermost:1 psf:17 dark:6 dimmer:1 preference:1 using:30 correcting:1 propris:1 reduces:1 velocities:1 either:10 multiplicative:1 adami:1 imaged:4 redshifts:21 images:20 reiprich:5 sommer:4 matching:1 provided:4 kaiser:1 ellis:3 confirm:3 moon:5 critical:1 lunar:1 provides:1 greyscale:1 moderate:1 measuring:7 biased:1 airmass:3 seconds:2 notably:1 biases:3 ratios:2 refers:2 emulateapj:1 comparison:9 central:10 cavities:2 choi:3 discussed:28 filippis:4 estimator:1 greatly:1 discusses:1 redshift:98 image:27 references:4 determine:14 strip:1 75h:1 maurogordato:1 theoretically:1 area:9 removing:2 loh:2 there:56 hazards:1 dispersion:10 start:1 detectable:1 low:32 stars:54 slopes:4 energy:5 morrison:3 tight:1 relic:1 complete:4 amongst:1 garnered:1 mnras:17 october:2 caveat:1 ωm:1 2003b:3 flats:5 2003a:2 agree:1 connect:1 taylor:2 migrate:1 describe:2 moved:1 deep:6 general:2 examine:4 dalcanton:1 gradients:6 moves:1 intra:1 again:3 beyond:7 completeness:2 field:6 caltech:2 spatial:2 you:1 gaining:1 briefly:1 separate:3 nichol:1 includes:9 important:3 5mpc:1 guzzo:1 included:7 60h:1 mask:16 mass:63 cores:1 once:2 resolution:1 original:3 arcminutes:1 surrounded:1 consider:3 caused:8 lack:3 follow:4 mccarthy:1 zabludoff:2 causes:1 fellowship:1 removal:2 tail:2 program:3 arcsecs:1 mpc:34 straightforward:1 very:12 denoted:1 dispersions:2 fall:2 bubbles:1 difference:10 list:1 large:45 small:16 20th:1 ten:7 pasj:2 past:4 dalton:1 rate:4 timescales:5 further:2 attributable:1 gunn:1 what:3 sub:1 briel:1 sum:4 version:3 fractional:8 method:9 contrast:1 full:2 loose:1 component:23 hours:2 wadsley:2 strong:11 observing:5 naval:1 stretching:1 allows:1 amount:16 interac:1 published:3 elongated:6 proxy:7 via:2 followed:1 extrapolations:1 marginal:1 extinction:7 estimate:22 poor:1 madgwick:1 eye:1 takes:1 distinct:1 faint:6 mihos:6 strauss:2 comparing:2 taken:17 iteratively:2 more:24 flat:12 punzi:1 marks:1 corrected:17 instrumental:3 tested:1 varying:4 known:2 evolves:1 none:2 middle:2 science:5 det:2 dev:1 nine:1 evolved:2 learn:2 strategies:1 history:1 spearman:12 compare:6 cosmological:2 scan:1 pont:3 suggestions:1 ann:1 northernmost:1 states:1 minimum:2 numbers:3 axis:8 information:12 broadly:1 colless:4 maps:1 occasionally:1 overdense:1 galactic:1 spitzer:1 derived:4 orbits:2 catalog:1 plane:1 short:1 spectra:1 extrapolation:1 negligible:1 help:3 september:4 cross:1 paper:22 through:10 filters:2 concentric:1 its:12 destructively:1 arcminute:1 style:1 rapidly:2 actually:2 late:1 detected:8 systems:1 might:6 good:3 motivated:4 units:1 association:1 easily:1 moscardini:1 fully:4 level:13 chandra:4 radial:2 found:12 undetectable:1 contiguous:1 reduce:1 expect:14 measurement:17 infinity:2 bluer:7 really:1 since:20 projected:6 research:3 dominated:3 sloan:1 foreground:5 dressler:1 difficulty:1 imaging:2 members:12 put:1 definition:1 pairs:1 benefits:1 service:1 desai:1 leading:1 clump:4 major:5 probability:1 upper:5 struble:3 dithered:2 number:16 linking:1 blank:2 bland:2 fluxes:13 miss:1 kodama:1 jet:1 introduction:3 twenty:1 least:8 station:1 wisotzki:1 arnaboldi:3 rates:5 hundred:2 smoothed:3 listed:13 shifted:2 behind:1 measurable:1 optical:2 bower:2 differentiate:1 authors:3 brightnesses:5 asca:3 center:59 peaked:1 observatory:3 double:1 determined:8 yang:1 97a:1 toward:5 7e:2 strengthen:1 ages:3 7i:1 7h:1 headings:1 lilje:2 nights:2 lin:5 couch:11 majority:2 empirically:2 finding:3 extrapolating:1 play:1 added:4 sereno:1 most:11 significant:11 bahcall:1 measured:26 geomap:1 clear:14 cover:2 km:1 ks:1 part:7 reflections:1 velocity:14 blend:1 particularly:1 glazebrook:2 accuracies:1 appendix:2 scattered:1 relation:15 cds:1 find:35 impact:3 giant:2 parameters:10 merger:2 distributed:4 calibrated:1 factor:4 circle:1 bernstein:23 merged:1 std:1 dominant:7 dependent:1 rest:1 collins:7 during:3 arxiv:2 remove:6 investigate:1 common:4 activity:2 approaching:1 bars:9 set:3 merluzzi:1 see:27 arc:1 close:2 forthcoming:1 dwarf:3 mckay:1 cutoffs:1 probable:1 fang:1 quintana:1 rejecting:1 smallest:1 various:1 cooray:1 probably:2 conditions:8 available:3 statistically:2 missing:1 targeted:2 attention:1 spectroscopic:4 ranked:10 31a:1 annis:1 both:36 dahle:4 last:2 bohringer:1 barely:1 intercept:4 whole:2 teraction:1 reside:2 point:5 simple:8 smith:5 motivation:1 simply:1 morphologies:2 throughout:4 complication:1 described:5 raise:1 create:9 duc:1 due:26 strategy:1 garmire:1 reduction:4 pa:3 coarse:1 extends:1 ph:1 spirals:1 referee:1 flight:1 gas:12 gap:2 determination:2 representative:4 classifications:1 look:2 exponential:6 solid:2 reliable:3 mosaiced:1 empirical:2 while:11 error:17 averaging:1 drawbacks:1 saturation:1 apjs:4 lambas:1 itself:1 grant:1 lengths:2 butcher:3 shorter:3 resulting:1 ray:34 higher:14 calculation:1 literature:12 levels:11 moving:1 purpose:2 elapsed:1 recent:4 early:4 lower:26 older:6 bounces:1 cruz:1 analysis:4 nonetheless:1 edge:4 consistency:1 parametric:1 distances:1 4th:1 ellipticals:10 shape:18 useful:1 alternative:1 emerging:1 conclusions:6 source:3 location:3 guarantees:1 remaining:5 bin:1 shading:2 bit:1 wings:1 apj:27 semi:4 systematically:2 follows:3 signal:3 shapes:2 flux:142 continue:1 indication:10 methods:9 creation:1 some:16 back:2 trends:5 towards:1 examples:1 curious:1 infall:3 scale:24 diaferio:1 measurements:4 integration:3 per:1 pell:1 smail:4 centroid:2 simbad:1 run:3 performed:2 processing:2 agreement:1 step:1 tidal:6 obscured:1 subtract:2 cautious:2 anything:1 constraint:1 brinkmann:2 simulation:3 range:34 reimers:3 consequently:2 seeing:4 into:12 within:33 nsf:2 predictions:6 appropriate:1 lensing:8 frames:8 ellipse:2 clustering:1 uncertainties:9 statistics:2 a114:2 a118:3 smoothly:2 specifically:3 balogh:1 rasmussen:1 registered:1 serie:1 link:1 newer:1 line:3 groupings:3 characteristic:3 up:8 us:11 um:1 malin:1 isophote:5 marginally:5 spectroscopy:5 fluctuations:8 similar:12 associated:3 defined:5 stripped:10 single:14 unsaturated:3 steeper:5 intact:1 amounts:2 dashed:1 nas:1 points:3 shallower:2 hydrodynamical:2 draw:2 calculating:1 girardi:11 problems:2 graphically:1 structure:8 lane:1 correlated:13 implies:6 physics:1 age:14 required:1 orbit:2 nasa:4 fitted:1 far:1 requires:2 having:6 evenly:2 katz:1 partial:2 results:8 broader:1 edu:2 go:1 conservative:1 contributions:2 centers:10 ebeling:3 sharples:3 young:2 does:22 contours:1 excluded:1 stable:1 include:14 indicating:1 entire:11 positions:1 notes:1 radii:19 fewer:1 massachusetts:1 noted:1 smaller:9 carter:1 bleeding:1 imply:6 λcdm:1 universities:1 abell:13 devaucouleurs:10 3e:1 body:1 chose:2 respectively:4 indicator:4 explore:1 objects:5 others:1 extreme:1 great:2 giovannini:1 northern:1 involved:4 larger:20 suggests:2 preferentially:2 survey:9 definitively:1 makes:12 fujita:2 scales:10 apr:1 photometric:23 scaled:5 decrease:1 apply:2 use:17 remains:3 chi:1 next:1 few:7 fer:1 themselves:1 governato:1 becomes:5 occurred:1 teractions:1 iii:7 account:4 crosses:1 integrating:3 boschin:1 assumptions:1 obvious:1 columns:1 meet:1 drops:1 scatter:2 usno:1 control:1 weaker:1 process:5 purposes:1 high:17 tag:2 something:1 rodr:2 reynolds:4 native:5 united:1 six:1 regions:16 located:2 elliptical:23 instead:10 filament:2 profile:101 inflated:1 harding:3 fran:1 tied:4 biweight:4 kneib:2 intercluster:1 1998b:4 lumsden:2 1998a:2 light:36 separations:1 correspond:1 allow:4 observatorium:1 counted:1 evolutionary:4 saturated:14 meter:4 produced:2 holmberg:4 ellipticities:1 including:13 looks:1 mentioned:3 galaxy:141 contaminated:1 perfect:1 bridges:1 le:1 outer:9 la:1 chosen:4 temporal:1 inclusion:1 estimating:1 choose:3 hartog:1 clusters:190 pixel:5 lx:1 freeman:1 greater:5 richness:18 outlined:1 practice:1 innermost:1 subtraction:10 february:2 university:2 identified:5 poole:2 nfw:2 merge:1 kpc:10 crossing:1 accounts:1 identifies:1 constraints:1 sadler:1 map:5 bump:3 related:1 measure:30 our:72 out:13 maximizes:1 cess:1 red:28 8h:1 angular:4 interactions:14 galaxies:169 borgne:1 completely:1 collection:1 campusano:4 okamura:1 hubble:4 interaction:7 determining:1 could:3 frenk:1 times:12 length:2 explored:1 assumed:3 hence:1 facilitate:1 south:1 manuscript:1 scene:1 reaches:1 fits:7 smoothing:3 quality:2 relations:3 their:30 intermediate:1 rocha:2 final:3 shell:1 ogy:1 explanation:1 shallow:3 lists:1 reflecting:1 thresh:1 too:2 masking:11 dynamical:17 observed:8 ipac:1 richer:1 incompleteness:3 individual:15 steep:2 false:1 coalesced:1 lines:5 keller:1 need:4 apparently:4 linked:3 angle:2 mil:1 omez:1 studying:1 able:14 mechanism:1 oliveira:2 prototypical:1 ramping:1 borgani:3 accuracy:16 dimming:6 unless:1 who:3 eight:6 but:14 sb:1 intrinsic:1 class:13 r200:5 annulus:1 subtracted:8 neighboring:1 astro:1 artificially:1 constrain:2 fact:4 atmosphere:1 selection:27 blueward:1 centralized:10 subtracting:1 o:10 based:22 should:9 brighter:15 micron:1 arcseconds:5 thousands:1 achieve:1 equilibrium:2 means:1 michigan:1 joint:1 ones:1 routine:1 areas:2 gray:3 processes:4 densities:4 luminosity:29 excesses:1 view:5 www:1 strengthened:1 multiplying:1 norberg:1 variations:6 frame:15 correlations:10 cmrs:1 operated:4 luminous:1 goddard:1 cole:1 interacting:4 pattern:5 tend:2 state:4 difficulties:2 identification:4 closed:2 krick:25 tens:1 aquarius:1 reproduced:1 mags:1 supernova:1 key:3 efstathiou:1 limits:5 equal:4 etc:1 figures:8 rodney:1 otherwise:1 relevant:13 conclude:2 ca:1 contamination:4 environments:5 cd:79 feldmeier:6 sequences:1 table:23 second:16 addition:9 utilizing:1 define:1 aguerri:1 aj:3 corresponding:2 binning:1 present:8 batuski:3 multi:1 atmospheric:1 irregular:1 value:5 will:39 fielding:4 manually:3 thus:1 site:2 surface:65 vs:6 ciardullo:1 situ:1 orbital:1 administration:2 indistinguishable:3 member:11 northwest:3 largest:2 inch:1 difficult:1 http:1 fielded:1 upon:2 effect:24 romeo:1 nightly:1 dust:1 mosaic:1 off:6 reflection:3 calibration:2 well:29 position:4 drawing:1 usual:1 spherical:1 less:12 increasingly:3 accurate:5 sources:5 underlying:2 distant:7 predicts:1 preprint:1 density:59 passively:5 sky:16 lake:1 add:2 combine:1 halo:6 divided:1 resolved:2 tests:1 increased:4 ample:1 corresponds:3 increases:1 five:3 know:4 necessary:1 like:5 lost:2 sizes:2 extremely:6 sized:1 become:4 starred:1 works:1 soft:1 therein:2 deviation:3 because:10 mohr:5 sequence:17 wider:2 happens:1 lead:1 sufficiently:1 avoid:1 overlap:2 14th:1 magnitude:24 masked:11 assuming:8 sdss:2 noise:6 coated:1 slight:2 stellar:10 pressure:1 host:2 although:16 offset:1 h70:6 hiding:1 gained:1 about:7 photometry:5 actual:1 column:1 universe:1 abadi:2 dependence:1 hurley:1 widefield:1 l9:1 predictor:3 peak:1 equally:2 own:5 keeps:1 cypriano:4 h0:1 functional:1 dataset:1 registration:1 gleaned:1 additional:6 rcs:16 restricts:1 inner:9 mazure:1 function:20 north:2 insures:1 overlapping:1 volume:1 hierarchical:5 gain:1 highest:2 hf:1 count:4 flagstaff:1 made:9 evident:2 portinari:1 smooth:2 infante:1 huchra:1 placed:4 below:20 limit:6 steepest:1 distribution:22 inadequate:1 universal:1 contribute:2 linearity:2 correction:13 denote:3 babul:1 ing:1 proceeds:1 inc:1 redder:9 functions:3 compared:5 variety:1 detail:4 other:29 details:4 conclusion:2 supersaturated:1 repeat:1 star:20 4i:1 variation:2 stay:1 metallicity:3 balkowski:1 astronomy:2 exposure:5 bcg:22 kaib:1 portion:1 4h:1 searched:1 understand:1 4b:1 indirectly:2 |
0704.1665.txt |@word externally:1 concept:6 interpretation:8 words:1 just:2 less:1 over:1 insight:1 unchanged:1 existing:1 founded:1 proposes:1 underlying:1 through:2 questions:2 consists:1 existence:4 reality:20 ontic:3 its:1 finally:1 group:10 knowledge:1 everything:1 rovelli:1 interesting:2 regarded:2 relativity:1 gen:1 fundamentally:1 only:3 does:1 systems:2 under:2 epistemological:1 ontological:3 include:1 case:1 real:1 do:5 non:1 aspects:1 goes:1 than:2 views:1 very:1 universality:1 possible:4 instance:1 wave:1 permanence:1 unification:1 they:6 probably:1 internally:1 rotation:1 now:1 day:1 continuum:2 regarding:1 theor:1 necessary:1 like:2 level:2 boost:1 facets:1 arxiv:1 events:3 leave:1 discrete:2 theory:5 imposes:1 common:1 become:1 fixed:1 constraints:1 mathematical:2 www:1 because:1 aspect:1 secondary:1 foundation:1 short:1 phenomena:8 idea:3 relative:2 deduce:1 abstraction:1 perspective:6 measurement:1 quantum:6 close:1 copenhagen:1 beyond:1 extract:1 subject:1 emerges:1 what:1 interacting:2 space:10 establish:1 interactions:1 brief:1 research:1 favor:1 state:1 continue:1 various:1 expressing:1 between:5 relational:20 spaces:1 approach:7 either:1 core:1 philosophy:7 approached:1 nature:4 problems:1 view:2 possibility:2 versus:1 fix:1 concentrate:1 premise:1 inherent:2 based:4 refers:1 universally:1 change:1 extreme:1 suggested:1 both:1 about:2 interaction:2 bring:1 geometry:8 starts:1 could:2 according:2 david:2 suggests:1 act:1 objects:1 place:3 invitation:1 consequence:1 retain:3 argue:2 other:2 relation:2 first:2 considerations:1 own:3 useful:1 features:1 symmetry:3 point:1 apr:1 instruments:1 merely:1 within:1 dimensional:1 appropriate:2 schemes:1 done:1 another:1 org:2 symmetries:1 open:1 kind:2 constructing:1 use:1 transformations:3 probabilities:1 governed:1 there:2 question:1 system:5 conclusion:1 hilbert:1 found:1 their:2 permanent:1 call:1 way:4 basic:4 mysterious:1 ph:1 structures:1 universal:2 empty:1 function:1 arise:1 interest:1 relationship:1 something:1 some:3 operators:1 depend:1 else:2 substance:1 link:1 authors:2 implies:1 translation:1 themselves:1 must:2 associated:1 utilizing:1 scenario:3 middle:3 was:1 us:3 theories:2 unreal:1 uk:2 abandon:3 problem:2 poincare:1 mechanics:2 firm:1 intl:1 replacing:1 give:2 defined:2 michele:2 modern:1 thus:1 ii:1 really:1 single:1 itself:2 exist:5 analysis:1 our:2 seen:1 constrained:1 decide:1 linked:1 qpt:3 physical:17 result:1 information:1 different:2 emptiness:4 completeness:1 thereby:1 no:1 rather:2 things:5 entity:1 negation:1 same:4 poincar:4 note:6 dependent:2 valid:1 criterion:1 take:3 significance:1 objective:1 absolute:3 infer:1 classify:1 parallelism:3 independent:2 elements:2 may:1 any:4 denominator:1 derived:1 but:1 paradox:1 invariance:2 law:1 intrinsic:1 structure:2 constitution:1 independently:1 introduced:1 natural:1 third:2 later:1 implications:1 object:2 stimulate:1 thought:1 person:4 impossibility:1 avoided:1 so:1 principle:2 fundamental:7 time:7 element:1 physics:9 notion:5 laws:6 |
0704.1666.txt |@word snia:35 snib:8 snic:4 pointing:1 represent:1 snii:13 keep:1 lack:2 l163:1 results:4 month:1 illustrated:1 eds:5 proposition:1 weiler:3 edu:1 winds:2 follow:1 bvi:1 displaying:1 discern:1 synthetic:2 remarkable:1 producing:1 technique:2 young:1 environment:1 2004b:1 finally:1 present:3 determinations:2 under:3 explode:1 include:2 indicating:1 confirmation:1 mpc:3 far:4 frequencies:1 iue:12 none:1 wave:1 luminosities:1 ultraviolet:9 trough:1 fall:1 affect:1 existing:1 resemblance:1 entire:1 presented:1 deficient:1 sensor:1 shock:2 m51:1 large:5 discrete:1 small:1 employing:1 findings:1 riess:6 uncomfortably:1 estimates:1 pulse:1 progenitors:1 past:6 superimposed:1 rate:3 design:1 displays:1 subtle:1 estimated:1 targets:1 substitute:1 canonical:2 even:4 appear:3 sun:1 tully:1 near:7 filippenko:3 current:1 consistently:1 lt:2 currently:1 international:2 learned:1 method:2 emitters:3 revealing:1 explosion:6 dwarf:2 respectively:1 sins:1 here:1 understanding:1 objects:4 operating:1 l27:1 others:1 based:1 strong:9 observing:2 appears:4 extreme:1 obtained:8 stellar:2 asiago:1 covers:1 technical:1 study:5 studied:5 suggests:4 irregulars:2 milky:1 resonance:2 narrow:1 studies:5 blackbody:4 hipparcos:1 although:6 family:1 photometric:1 marked:1 highly:1 apj:19 total:1 cloud:1 macchetto:3 use:1 wealth:2 usa:1 physics:3 faint:2 arms:1 intense:1 comparing:1 linear:1 approach:1 kinematics:1 therefore:7 taken:1 candidates:2 type:44 minor:1 more:13 harkness:2 ejected:2 successful:1 initial:1 factor:2 envelope:1 emission:7 validity:1 m81:1 absorptions:6 primarily:2 correspondingly:1 big:1 normalized:2 particular:4 foundations:1 cases:2 effort:1 insights:1 abundance:2 md:1 mg:9 mb:1 valle:8 mw:1 erg:3 values:1 era:1 believed:3 making:1 could:1 nino:1 photospheric:1 dedicated:1 weaker:3 challenging:1 figure:6 share:1 high:8 indicates:1 way:1 caused:1 recognized:2 want:1 magnitudes:1 rendition:1 dyk:2 lacks:1 hydrogen:3 weaken:2 csm:1 information:2 ones:2 end:2 sahu:1 provide:6 verify:1 s0:1 cygni:5 astronomers:1 vla:1 absolute:1 detonation:1 product:1 sne:33 explorer:1 capture:1 may:8 after:6 flattening:1 confirmed:2 sni:1 steeply:1 fe:5 mag:1 waves:1 data:2 types:8 efficiently:1 tantalizing:1 short:2 bufano:1 candles:3 spectra:38 lines:16 plateau:2 parameterized:1 cosmology:3 fraction:3 si:3 extrapolation:3 so:11 sn:15 fundamental:1 definitions:1 dereddened:1 order:2 typical:5 wavelengths:2 least:2 bracketed:1 developed:1 astronomical:1 spectral:9 displayed:1 ejecta:5 years:2 produced:2 cambridge:2 through:5 nitrogen:1 shake:1 kinetic:3 still:3 its:7 galaxy:10 before:3 chemical:1 difference:1 rapidly:1 monitor:1 fit:1 decay:1 energies:1 interesting:2 masses:1 redshift:3 actually:1 late:3 detected:1 pervade:1 systems:4 inaf:1 coordinated:1 weeks:3 h0:4 finer:1 eventually:2 non:1 good:2 affected:1 lentz:3 enrich:1 material:1 select:2 primary:2 band:3 remarkably:1 they:8 front:1 altogether:1 yr:1 day:1 sn1993j:4 several:4 indeed:1 oxygen:1 brightness:2 sandage:3 always:1 university:1 level:1 possibilities:1 magnitude:1 each:2 found:8 spectroscopically:1 photometry:1 characterized:3 constraints:1 heavy:1 weighted:1 telescope:2 devised:1 doing:1 series:1 energy:9 hard:1 idea:1 related:1 constitute:1 gaps:1 combining:1 our:2 teams:1 event:1 out:2 cosmologically:1 shown:1 opened:1 factors:1 since:3 crucial:1 inflationary:1 exploding:1 dominated:2 newly:2 dominate:3 supports:1 red:2 shows:2 baron:3 tammann:1 belief:1 8m:2 galaxies:8 possibility:1 quite:3 fainter:2 completely:2 bursts:1 formation:1 companion:1 beginning:1 telescopes:1 compression:1 hubble:3 interaction:2 saha:1 launch:2 dubbed:1 collapsing:1 synthesized:4 cosmic:1 days:7 times:1 turn:1 heck:1 massive:9 ism:4 ltd:1 consequence:1 top:1 caii:1 first:2 origin:1 iib:2 already:2 features:4 powerful:1 number:4 stsci:2 done:1 fast:3 another:1 l31:1 carry:1 reached:1 thick:1 quality:2 little:1 nebulae:1 indicate:2 introduction:1 caught:1 smoother:1 moderately:1 approximately:2 their:31 intermediate:2 compromise:1 observations:20 calculations:1 smoothed:1 too:1 shifted:1 stars:9 mostly:5 exploded:1 relative:3 rsg:3 lnp:1 sn1987a:3 optical:12 gyr:1 somewhat:1 than:12 population:1 distance:3 observatory:2 holland:1 showed:1 namely:1 project:2 aat:1 embedded:1 future:1 contrary:1 iron:4 light:25 tonry:2 gigantic:1 steep:1 bursters:1 pre:1 ap:1 dynamically:1 modern:1 mind:1 spectrum:12 curves:2 dash:1 1992a:2 need:1 element:2 any:4 accurate:2 collapse:4 utility:1 instrumentation:1 strength:1 1998s:1 efficient:1 convenient:1 able:1 mid:1 mechanism:1 note:1 ideal:2 prototypical:1 photosphere:3 strengths:1 accuracy:2 blue:5 relatively:3 allow:1 trace:1 normal:7 boxcar:1 reach:2 caputo:1 most:9 importantly:1 phase:1 alpha:1 competing:1 bsg:1 measured:1 class:3 interacting:1 constancy:1 deviations:3 especially:3 considered:1 clear:3 later:1 metal:1 inferred:3 km:10 perinotto:1 verlag:1 gyrs:1 velocity:2 typically:1 fact:2 slope:2 planetary:1 atmosphere:1 hyper:1 phenomenon:1 show:1 blueward:1 probe:1 infrared:1 discovered:4 bright:5 planning:1 radio:2 keywords:1 convolved:1 fine:1 line:4 promptly:1 frequent:1 giant:1 slow:3 ratio:1 knowledge:1 universal:1 peculiar:1 increasingly:1 only:11 panagia:25 rich:2 equipped:1 employed:1 constant:1 local:2 over:4 mannucci:4 giants:1 do:5 insight:1 triangle:1 means:2 overall:2 account:1 preferred:1 truly:2 methods:1 cannot:2 bandwith:1 closely:1 new:5 ellipticals:4 blends:1 reveal:1 evolution:14 continuum:4 luminosity:3 arxiv:1 summary:2 common:2 overluminous:1 discovery:1 doublet:2 view:1 intervening:1 generally:1 sensitivity:1 notice:1 1960s:1 up:5 epochs:7 see:9 radius:2 result:5 enhanced:4 close:2 luminous:5 best:7 subject:1 barely:1 phases:4 detect:1 extend:1 matter:2 nuclear:1 review:1 hybrid:1 propagates:1 energetics:2 lte:1 enough:1 various:2 markedly:1 radiated:1 probably:2 conditions:1 wide:1 available:3 basis:1 comparable:2 emitted:1 explosive:1 parent:2 nature:3 baade:1 supernova:7 were:12 weak:2 however:4 kea:1 ascribed:1 spectroscopic:1 would:1 swift:2 declining:1 motivations:1 both:11 essentially:1 many:3 region:4 uncertainty:1 called:2 regions:2 april:5 became:1 hamuy:2 distinction:1 contribution:1 whole:1 baltimore:1 nearby:1 among:2 l71:1 co:1 siii:1 point:1 simple:2 had:4 excess:3 bertola:5 observatories:1 circumstellar:5 conference:2 decline:6 2004a:2 grand:1 agree:1 addition:2 millard:2 three:3 been:5 reindl:1 much:8 interest:1 progenitor:4 indicators:1 ph:2 prototype:1 hardly:2 ann:1 empty:1 fig:3 dots:1 faintness:1 rather:4 shortward:2 cosmological:1 thousand:1 wheeler:2 collaborators:1 determination:1 mauna:1 systematic:3 decreased:1 catania:1 despite:2 evidence:3 standard:2 case:1 exception:1 noticeable:1 supernovae:29 pacs:1 launches:1 straight:1 originate:1 prominence:1 value:2 while:3 reliably:1 error:1 irrespective:1 pushed:1 procedure:1 della:8 layer:2 changed:1 almost:1 characteristics:2 ir:2 thus:5 ii:26 characterize:1 itself:1 ia:14 march:5 ic:3 ib:9 disappear:2 binary:4 different:5 italy:1 combination:1 suggest:1 make:2 belong:1 radiation:1 same:2 clearly:1 member:2 epoch:1 virtually:1 widely:2 multiplets:1 ray:3 events:3 higher:2 fairly:1 satellite:2 used:4 singapore:1 appreciably:2 contr:1 hand:4 average:1 moving:1 kin:1 unpublished:1 nir:1 recent:1 early:14 lower:4 adapted:2 random:1 well:6 bang:1 analysis:6 edge:1 experimental:2 very:8 echoes:1 model:2 binaries:1 cepheids:1 distances:5 bottom:1 just:2 being:2 hpw:1 observed:14 obtain:2 valuable:2 reviewed:1 shape:1 distant:1 thanks:1 aspect:1 world:1 multiplet:1 freedman:2 mazzoni:1 amply:1 death:1 monitored:1 cm:1 kluwer:1 conclusions:1 absorption:6 seems:1 relatives:1 5m:1 color:2 extends:1 inner:1 samples:1 input:1 extensive:1 gave:1 livio:3 around:8 bands:2 showing:1 measurement:1 possible:1 dark:2 possibly:5 knop:2 five:1 know:1 press:3 using:3 homogeneity:1 wings:1 advanced:1 prominent:1 loss:1 l115:1 like:2 particle:1 signal:2 velocities:5 flux:3 reasons:2 indication:1 either:3 become:2 therein:1 reidel:1 because:9 often:1 foreseeable:1 successfully:1 some:6 searching:1 bounce:1 calculated:1 moreover:3 standardize:1 extended:1 jeffery:4 matching:1 kirshner:4 giovannelli:1 capability:1 gradually:1 dense:1 lead:3 fos:4 broad:5 absolutely:1 measurements:2 per:1 1999em:1 does:1 deficit:1 eso:1 moderate:1 wesselink:1 measuring:2 core:4 noise:1 scientific:2 indicated:1 peculiarly:1 aj:1 confidence:1 expansion:4 interval:1 notably:1 bw:1 hst:9 post:1 exciting:3 originated:1 properties:13 stage:1 gained:1 sub:3 about:12 carried:1 universe:9 months:3 discussed:3 o:3 range:2 bolometric:1 introduced:1 gamma:2 peak:4 frontier:1 soc:1 contains:1 presence:2 instruments:1 into:4 within:2 interstellar:1 due:3 references:2 determine:2 einstein:1 refined:1 significantly:1 uncertainties:2 van:2 additional:3 few:3 intrinsic:1 springer:2 there:1 redshifts:1 spiral:2 long:1 noticed:1 dispersion:1 virgin:1 low:3 ukirt:1 ed:1 astrophysics:1 was:19 ten:1 fes:1 considerably:1 medium:2 perlmutter:4 form:1 differences:1 but:8 allan:1 astro:2 mysterious:1 solar:1 mnras:2 injection:1 considerable:1 he:3 largest:1 consist:1 whether:1 characteristic:1 gravitational:1 uv:51 smooth:2 maximum:23 us:2 dordrecht:1 below:2 frequency:1 those:4 ruling:1 spectroscopy:2 similar:5 display:5 recognizing:1 detailed:8 promises:1 steepen:1 associated:2 sticks:1 100km:1 stronger:1 abstract:1 measure:2 deep:1 general:3 balmer:3 single:1 wavelength:1 distributions:3 fill:1 ni:3 acceleration:1 dotted:1 no:1 dashed:1 whereas:2 nai:1 when:4 detail:1 madore:1 irtf:1 application:1 other:10 branch:2 papers:1 igm:1 sn1998bw:1 picture:1 elements:4 star:5 energetic:1 provided:3 models:1 resembles:1 miscellaneous:1 m83:1 metallicity:1 important:2 allowing:1 coverage:1 needed:1 explosions:1 ejecting:1 billion:2 younger:1 implies:2 faster:1 resolution:5 age:2 space:2 curve:6 berlin:2 mass:5 ωm:1 time:5 fresh:1 starting:2 |
0704.1667.txt |@word limited:1 saturating:1 dynamic:1 monte:2 consists:1 gillespie:2 whose:2 calculate:1 under:7 conjecture:6 motifs:3 downstream:4 p1:1 summarized:1 affect:4 vast:1 cmf:9 solution:5 indices:3 paulsson:3 10c:2 consistent:3 direct:1 approximation:9 second:1 chen:1 qualitatively:1 chem:6 even:8 above:7 ˆh:1 new:4 net:1 increasing:1 coefficient:3 bi:1 equals:1 here:12 logarithmic:1 obtained:13 michal:1 balance:4 study:7 changed:1 catalyzed:2 9c:1 highly:1 total:2 unit:1 plot:2 would:1 abbreviations:2 negative:1 m1:12 therefore:2 m2:8 type:4 reversible:8 excellent:6 hold:2 must:2 abundance:2 ii:16 springer:1 mm:5 ml:23 mn:1 mi:22 example:11 defer:1 give:1 involve:1 indicates:2 walsh:1 end:18 provide:2 verify:2 how:1 nontrivial:3 toxic:4 noisiness:1 description:2 after:2 diagram:1 modest:1 constants:1 vance:1 effective:3 environ:1 correlation:4 acknowledges:1 order:5 triggering:1 operations:1 interpretation:1 feedback:6 over:3 upstream:5 expects:1 london:1 experimentally:1 before:2 exhibits:1 better:2 transcriptional:1 maximal:2 them:1 affected:2 effects:2 thes:1 each:17 side:5 mean:13 schemes:1 series:2 t3:1 mukamel:2 substantially:1 rp:1 network:31 particles:1 ra:2 conjectured:1 independence:1 linear:24 abramowitz:1 standard:1 sensory:1 formation:2 stochasticity:5 atp:1 meshed:1 already:2 features:1 relations:1 another:3 illustrate:2 xie:3 top:1 approximately:3 perturbations:1 master:4 john:2 inflow:1 tool:1 serve:5 took:1 corresponded:2 roles:2 likely:2 classes:1 biochemical:6 perturbative:1 elevating:1 manner:2 seen:1 unaffected:1 convenient:1 latter:1 isolated:2 circles:1 complexes:2 boltzmann:2 phase:1 calculated:1 partition:3 points:1 dover:1 stephens:1 random:4 dependences:3 solutions:1 d5:1 d2:3 availability:1 d1:1 implementation:1 situations:1 curr:1 do:7 sense:1 stot:2 dc:1 degradation:4 dz:1 altogether:1 dt:2 acknowledgments:1 analytical:2 observed:1 depends:2 result:13 discussions:1 techniques:1 µm:1 simplest:1 approach:6 erel:1 preserve:1 terms:1 extend:2 nature:8 wm:38 wk:2 however:6 wh:1 extent:4 modeling:2 topology:2 suggested:1 cox:2 exceeds:1 variance:1 exhibit:1 2nd:1 applicability:1 decoupling:5 basis:1 been:7 much:3 interest:2 cytoplasm:1 expected:8 arkin:4 quantities:1 concerning:1 applied:2 suppose:3 property:9 elaborate:2 obeying:1 characterize:3 ig:1 containing:2 suggest:5 make:3 linked:3 complex:11 several:7 grows:1 independent:10 numerical:8 hand:2 opportunity:1 normalization:2 cycle:4 kept:1 scenario:1 changes:5 bacterium:1 academic:2 materials:1 quantitative:2 tymoczko:1 enters:1 catalytic:1 5t:1 elf:1 weiss:2 affinity:1 5c:1 advances:1 possible:4 replace:1 specific:4 arbitrary:1 acad:6 deal:1 probed:1 core:1 elucidate:1 confluent:1 properties:17 o:12 opin:1 done:1 propagate:7 efforts:1 considerations:1 soc:1 palsson:1 presence:2 ppi:1 obtaining:1 bound:2 down:2 right:2 topologies:4 support:2 approximate:6 why:1 conservation:2 way:4 was:7 metabolism:1 synthesis:5 medium:1 form:16 denoting:1 berg:2 true:1 builds:1 supp:4 prevents:1 vivo:1 phosphate:5 simplifying:1 stronger:1 abstract:1 proven:1 conserved:3 kv2:1 simulations:5 distributions:2 regime:2 no:8 generally:3 ne:30 interested:1 np:1 company:1 node:20 models:2 preceding:1 transported:1 fell:1 shibata:1 dissipation:1 longer:1 corresponding:1 together:1 time:17 remarkable:1 global:1 focus:1 leads:1 grateful:1 morphology:1 abundant:3 inverse:1 depend:2 environment:1 quasi:1 analogous:1 division:1 choice:2 exact:5 level:14 solved:2 accumulation:2 work:5 prediction:3 targets:1 celebrated:1 current:4 shared:2 satisfy:2 supporting:8 genes:2 understanding:2 water:1 address:3 alone:2 along:1 appears:1 change:2 incoming:9 precursor:2 studied:4 commonly:1 poisson:4 studies:4 influx:7 plotted:3 useful:2 translational:1 positive:1 predictions:5 scenarios:1 explicitly:4 liggett:1 theoretical:3 validity:1 appendix:4 vmax:15 cases:8 1µm:1 insights:1 values:6 achieve:1 following:1 making:2 arrive:1 figure:24 predict:2 menten:2 locks:1 chin:1 conversely:1 verlag:1 s3:1 s2:4 s1:7 s6:1 s5:1 s4:2 write:4 vital:1 parameter:2 pathway:57 product:41 tanase:1 mat:4 huge:1 may:26 applications:1 produce:1 data:6 branches:2 dynamical:2 6th:1 borrowing:1 yielding:2 si:14 branched:1 so:5 sl:6 se:4 typical:5 indeed:4 mainly:1 years:2 course:3 statistical:3 coli:4 still:8 derive:2 interesting:2 decreases:1 main:10 correspondence:1 non:3 gray:2 processes:6 introduce:1 metabolite:26 now:7 discuss:1 term:3 proteins:2 bursty:2 individually:1 el:1 ei:1 significantly:2 ed:1 hypergeometric:4 directing:1 approximated:4 eq:7 living:2 shown:6 jackson:1 3rd:2 factors:1 increase:5 dominate:4 shows:1 pieter:1 mechanisms:1 california:1 e1:2 e0:2 care:1 ojalvo:1 βs:1 turn:2 place:1 gordon:1 cycles:1 βm:2 βi:1 substrates:11 first:13 xm:2 variables:1 fast:3 carry:1 array:1 angular:1 size:1 given:26 1c:1 realization:1 structures:1 accurately:1 copy:1 than:4 specify:1 wide:1 were:2 san:1 remained:1 turned:3 generalization:1 say:2 allen:1 any:4 numerics:1 transcription:1 note:11 potential:1 take:1 multiple:2 opposite:1 track:2 price:1 molecule:7 importantly:1 escherichia:1 lerner:1 surprising:1 considered:2 average:3 implications:2 typically:2 quantity:1 precise:1 show:6 recipe:1 modelers:1 specifically:3 ratio:2 liberman:1 state:45 analytic:5 only:13 going:2 black:1 satisfied:1 nearly:1 gen:3 regarding:1 yield:1 ignored:1 allosteric:1 violated:1 namely:3 ignores:1 uncorrelated:4 concern:1 fails:1 metabolites:30 between:25 affecting:1 queueing:6 jr:1 analyzed:1 reaction:23 many:6 region:1 according:2 propagation:11 leibler:1 σs:1 expression:7 among:1 grants:1 anti:1 constant:9 nicola:1 amino:3 considering:1 tuning:1 locally:1 combined:3 wolde:3 covert:1 direction:3 occupancy:2 external:3 former:1 those:6 case:24 exist:4 coupled:2 return:1 protein:3 different:34 verified:2 same:5 events:1 extended:2 changing:3 without:5 solve:2 model:8 otherwise:1 being:6 when:8 resp:1 relevant:1 seems:1 except:1 lett:2 ross:5 aspects:1 rules:1 dark:1 inhibition:10 grid:1 using:10 particle:1 collective:1 either:3 always:4 output:1 dilution:8 inter:1 stationary:1 reduced:3 specifies:1 steady:45 moreover:4 provided:1 provides:1 measuring:1 equivalent:1 ration:1 glycerol:1 ol:1 enzymatic:9 discussed:1 concentrations:2 op:1 communication:1 numerically:2 variable:1 references:1 assumed:2 there:1 genetic:3 strict:1 futile:1 complete:1 attainable:1 amplify:1 applying:1 attenuate:1 quantitatively:1 cooperativity:1 detailed:1 taylor:2 ai:3 ah:2 describe:2 am:1 general:5 examine:2 enable:1 governed:2 controlled:1 again:5 igp:1 field:3 spatial:1 deviation:1 briefly:1 includes:2 a1:1 important:4 pool:3 unbind:1 mass:8 nelson:1 starting:2 reactants:2 sci:6 consider:6 generalize:2 expressions:3 research:1 subjected:1 tr:1 wmi:2 th:2 wml:3 stochastic:34 nodes:19 te:2 ta:1 activities:1 straightforward:3 very:3 sons:3 difference:5 condition:2 wm1:1 applicable:4 large:7 small:2 biological:3 ten:3 past:1 rate:25 further:4 residue:1 what:3 imported:1 sub:1 brackets:1 sun:1 sum:4 fractional:2 method:4 contrast:2 outgoing:4 modify:1 ansatz:2 relaxation:1 generalizing:1 allows:4 experience:1 amount:1 action:2 narrow:1 via:2 analyzing:4 sch:2 takes:4 levine:3 contains:1 finally:1 comparing:3 taken:5 more:6 lowering:2 thus:8 operators:2 surprisingly:1 tested:1 controlling:2 particular:1 producing:1 keeping:1 shielded:1 science:4 equation:26 installing:1 remain:2 f1:3 compare:2 stated:1 neglected:1 arise:1 analysis:11 species:1 information:2 rather:4 tried:1 spitzer:1 wiley:3 derived:8 reflect:1 bioinformatics:1 develop:1 response:5 short:3 morphing:1 enzymes:14 turnover:7 through:9 kinetic:1 its:10 reactant:1 termed:1 solving:2 absence:1 microscopic:2 systems:11 motivated:4 framework:3 yp:1 2t:1 easily:3 2s:1 elson:1 fully:1 presented:1 negligable:1 2a:1 2b:1 found:6 characterized:5 reactions:30 england:1 reduce:1 expect:6 operation:1 beyond:1 simplify:1 since:5 denotes:1 acting:1 hill:1 jolla:1 occurs:2 ask:1 pedraza:1 exponentially:1 circuit:4 consequence:1 probability:16 number:20 inhibits:1 fluxes:8 perturbation:2 introduction:2 leading:1 interact:1 least:1 regulation:3 assumption:3 calculations:2 rates:1 molecular:8 kou:2 part:1 signaling:10 lebowitz:1 scheme:1 determines:1 cyclic:8 neidhardt:1 determined:2 randomly:3 concentration:9 generalizes:1 depending:1 self:3 k3:2 k2:7 k1:4 analogy:6 finding:2 play:1 towards:3 zeroth:1 sets:3 most:1 sponsored:1 significant:1 nothing:1 measured:1 branching:4 ki:43 km:8 kl:12 velocity:1 physics:3 phenomenon:2 relation:3 degraded:1 networks:23 parameters:7 distributed:1 freedoms:1 enzyme:25 factor:1 dominant:1 notation:1 dependent:2 wolynes:1 nonequilibrium:2 during:3 arxiv:1 garcia:1 investigate:2 common:4 activity:1 forster:1 bars:2 set:5 predicts:1 dump:1 see:13 individual:5 bare:2 close:1 precursors:2 various:3 conditions:1 profiling:1 recently:1 statistically:5 both:6 last:2 connection:1 context:3 experimental:2 point:8 simple:3 golding:1 decipher:1 simply:1 vessel:1 indefinite:1 consuming:1 described:11 create:1 due:9 reduction:1 describes:2 generating:2 convert:3 understand:1 demand:1 equilibration:2 replaces:1 microbiol:2 solid:1 siggia:1 while:12 replaced:3 fujimoto:1 binding:1 encountered:2 rin:1 itself:1 vanish:1 currents:1 grant:1 ama:1 products:4 composition:1 calculation:1 used:5 flows:1 levels:6 impede:1 robust:1 recent:3 majumdar:1 paramters:1 concrete:1 predetermined:1 regulating:1 shape:1 questions:1 alternative:1 dissociation:2 conclusions:2 signals:1 input:3 solvable:2 bio:2 couple:1 imposed:1 separately:1 flux:53 yields:4 disorder:2 mathematical:5 methods:1 metabolic:55 some:11 back:1 s1i:1 kurths:1 examples:2 brent:1 scale:2 describing:3 measurements:1 per:2 proc:6 processing:2 agreement:5 ehrenberg:1 step:1 become:2 greenblatt:1 asymptotic:1 constraint:1 optimized:1 simulation:5 range:3 experiences:1 consequently:2 conserving:1 plethora:1 into:16 within:4 nse:12 nsf:2 statistics:1 smoothly:1 question:1 biol:1 handbook:1 analyze:2 elsewhere:2 tryptophan:3 line:2 karlin:2 raising:2 directed:20 circuits:4 up:4 us:2 um:3 utz:2 fluctuations:59 similar:7 associated:1 defined:1 influence:2 pfc:1 single:13 scrutinized:1 dashed:3 edwards:1 application:1 dc0:1 nat:2 department:1 allowing:2 lenz:1 structure:8 independently:1 implies:1 equivalently:1 depth:1 leak:1 far:2 failures:1 having:4 results:17 eds:1 kc0:1 gl:1 gi:7 deterministic:1 microscopically:2 include:4 colman:1 g1:1 cellular:5 oudenaarden:2 diverging:6 outflux:1 try:2 manifestly:1 zm:3 smaller:4 zi:5 zk:1 fold:6 dynamics:4 acid:2 carlo:2 leakage:7 index:6 3t:1 cell:15 consistently:1 waiting:2 collins:1 led:1 lee:1 explore:1 focused:1 implicit:1 great:1 involved:1 larger:2 resulting:1 gene:5 makes:1 involves:2 composed:1 scales:1 apr:1 private:1 decrease:1 apply:1 use:1 links:2 usa:2 next:2 few:1 depicted:1 zia:1 panel:1 michaelis:4 becomes:1 transient:3 discreteness:1 σs2:1 account:1 obvious:1 inhibitor:1 decoupled:3 control:8 decorrelation:6 biophys:3 process:11 high:4 effectively:2 junctions:1 noises:1 holds:3 instead:1 establishment:1 circular:1 bind:2 lines:4 microbial:1 allow:1 discussion:2 produced:1 swain:1 including:1 mentioned:1 warren:1 blake:1 la:2 chosen:3 temporal:2 h2:2 lu:2 degrees:2 freeman:1 serra:1 practice:1 dar:1 university:1 pools:2 ηs:8 elston:1 related:1 measure:15 our:21 special:1 out:3 rev:4 chaos:1 mediated:1 performs:1 ref:1 math:3 aˆi:1 completely:1 york:4 regulatory:1 interaction:3 could:1 derivations:1 hence:4 austin:1 stimulate:1 evans:2 quality:2 start:1 πi:5 system:6 πl:2 their:3 intermediate:11 biochem:1 low:1 exactly:9 environmental:1 light:2 behaviors:1 fluctuation:5 reassuring:1 need:2 affinities:1 constrained:2 clearly:1 depict:1 min:2 able:1 mechanism:1 subject:1 serine:2 who:1 plugging:2 connected:1 class:2 cki:1 elowitz:2 constrain:1 superscript:1 fact:10 text:7 supported:3 based:5 controls:1 should:5 molecules:27 local:5 hope:1 equilibrium:2 familiar:1 overall:2 joint:2 ones:2 symbols:4 evolution:3 substrate:36 influenced:1 processed:1 rein:1 fixed:2 laporte:1 enhancer:1 shedding:1 computed:1 exists:2 correlations:12 edition:3 enhanced:1 responses:1 interacting:3 pattern:1 below:3 written:2 figure2:1 luo:1 variability:1 comparable:1 weak:1 biosynthesis:8 efficiency:1 key:5 freely:3 taking:1 thence:1 equal:2 ln:1 passing:1 grounds:1 strongly:1 ci:3 ch:2 cm:3 conclude:1 poissonian:4 ca:1 cg:1 walk:1 cp:1 estimating:1 addition:2 montecarlo:1 certain:4 define:2 diversity:1 arginine:3 c0:20 present:3 multi:1 contexts:1 value:2 choices:2 will:10 phenotypic:1 ultra:1 layer:1 motif:2 find:11 vi:15 vl:7 vm:1 examined:1 pesce:1 branchpoint:1 capture:1 perhaps:2 cross:1 parts:2 units:1 finite:1 difficult:4 conflicting:1 material:1 upon:2 effect:10 v1:1 phy:2 v3:2 frequently:2 center:2 nevertheless:4 modeled:1 well:7 thought:1 english:2 comparisons:1 drawing:1 glycine:3 less:1 moments:1 obtain:3 underlying:3 aihara:1 macroscopic:2 tca:1 adv:1 density:1 supply:1 mathematically:1 extends:1 natl:6 identical:2 fluctuating:2 increased:1 increases:1 know:1 press:3 immediately:2 lost:1 alternatively:2 regulated:3 δc:4 accessible:1 because:2 shea:1 shen:1 growth:5 choosing:1 peter:1 neglecting:1 transport:4 throughout:3 lead:2 broad:2 2c0:1 instantaneous:1 does:4 assuming:4 demonstrated:1 biology:1 noise:40 expansion:1 although:1 hwa:1 noisy:1 about:1 extension:1 freedom:1 interlinked:1 ism:1 ηs2:2 converging:8 intermediates:5 previously:3 washington:1 terence:1 van:3 additional:3 synthesized:3 transfer:4 function:15 basic:1 but:6 volume:3 ha:1 illustrative:1 made:2 whether:2 cells:1 variations:1 dmr:1 converted:5 limit:2 demonstrate:2 distribution:25 mechanics:2 denote:1 periods:1 adapt:1 diego:1 functions:3 compared:3 variety:1 percent:2 other:19 branch:8 suppress:1 predominant:1 conclusion:2 stat:2 zhou:1 variation:1 stay:1 pathways:81 rule:1 determination:1 4c:1 simpson:1 |
0704.1668.txt |@word limited:3 four:10 facilities:1 consists:2 whose:1 pedro:10 calculate:4 andalucia:1 presents:2 aut:1 under:2 digit:1 rise:1 penny:1 dell:2 every:1 affect:2 vast:1 school:1 cmd:2 solution:2 persisted:1 red:2 enhance:1 10m:1 consistent:1 likely:10 street:2 7th:2 estimated:8 even:10 errors:4 selected:11 while:10 above:11 new:25 increasing:3 harbors:1 simultaneously:1 residual:3 here:2 reported:12 represented:3 obtained:24 study:5 completely:3 fourier:2 changes:1 diameter:4 divide:1 campaign:5 explained:15 visible:1 szentgyorgyi:2 counts:1 total:16 plot:1 would:6 mexico:2 negative:1 m4:2 therefore:8 distortions:1 type:6 separated:1 successful:1 must:4 setup:2 mn:5 mi:3 ms:2 henry:1 hansen:1 root:1 example:3 indicated:2 give:1 indicates:5 magnitudes:12 end:2 provide:1 verify:1 globular:8 feature:2 chabrier:1 how:4 hot:6 significance:7 answer:1 bressan:1 sato:4 description:3 after:8 confirmed:3 diagram:2 modest:1 summarize:1 law:4 third:2 ıa:1 maintain:1 algorithms:1 correlation:2 sackett:2 order:24 over:6 encounter:1 mayor:1 before:1 fit:7 directional:1 sweigart:1 expectations:1 better:6 production:1 fig:47 persist:1 inaf:2 flatfielding:1 them:3 affected:3 combination:1 band:3 effects:22 they:9 defected:1 represents:1 vturb:2 brightness:8 routines:1 barton:1 reasonable:1 each:27 went:1 side:1 lasting:1 winn:1 successively:1 telescope:22 fairly:6 series:6 rv:3 overcame:1 crucial:2 dsp:17 re:1 photometrically:1 got:1 ri:1 rj:2 centauri:2 linear:1 assured:1 ntr:2 surveys:8 free:1 standard:5 campaigns:4 formation:16 estimate:9 telescopes:14 r1:4 r2:5 created:3 days:15 filter:7 signature:1 corrections:2 neptunes:1 olech:3 purpose:1 already:3 features:3 another:6 pulsar:1 lister:1 dipartimento:2 accretion:1 master:2 too:2 linearities:1 allframe:5 took:2 rejected:1 barbieri:2 gyr:3 corresponded:2 peculiar:1 qmi:5 target:9 showed:6 iteration:1 zero:4 hollenbach:1 10th:1 rad:1 mind:1 spectrum:3 increment:1 seen:2 forced:1 implemented:1 isolated:3 metallic:1 fitting:23 forces:1 correlating:1 circles:3 blue:2 though:3 object:2 victoria:1 extending:1 phase:4 acknowledgements:1 exico:1 alard:3 observation:3 alarm:4 detectors:6 accounted:1 principle:1 calculates:1 came:3 planetary:47 reductions:1 random:4 colors:3 proposed:2 spite:1 explain:3 folded:6 rich:11 41s:2 adequate:4 v80:1 do:1 valenti:13 di:6 df:3 de:9 yielded:1 despite:3 dr:1 fields:3 bad:7 analytical:1 implication:1 explanations:1 flagged:2 mandatory:1 reference:8 aarhus:1 detection:18 depends:3 decided:4 crosscorrelation:1 result:10 worrall:1 best:24 techniques:5 ranged:2 artificial:13 µk:1 approach:6 discovery:1 extend:1 nature:2 wo:1 however:10 contamination:2 modeling:1 improve:1 suggested:1 ranges:1 cos:5 against:6 circumbinary:1 planned:1 variance:3 contribution:2 very:12 appeared:3 2nd:3 grazing:2 conference:1 proceeded:1 basis:2 three:15 been:17 t2:1 beer:2 much:10 interest:2 basic:2 expected:49 life:1 deeper:3 quantities:1 concerning:2 pringle:1 25s:1 encyclopaedia:1 applied:13 employ:1 near:1 procedure:14 seven:1 played:2 ii:4 characterize:1 australia:1 conf:1 id:2 containing:1 perform:3 pecci:2 make:7 beside:1 potentially:1 several:3 evolve:1 nin:2 peaks:2 welsh:1 numerical:1 differing:1 hand:5 isochrones:2 normalization:1 fusi:2 suitable:2 scenario:1 simulated:2 alarms:2 left:6 just:2 photo:1 homogeneity:2 assigned:6 identify:2 thanks:4 facts:1 previous:4 adding:2 monitored:1 candidate:21 guhathakurta:1 regarded:3 had:9 5m:2 spread:1 gave:2 possible:18 spanned:2 firmer:1 possibly:1 background:5 performance:1 clustered:3 specific:4 clementini:2 steps:2 night:18 www:3 disks:5 old:3 jupiter:2 mazeh:2 fov:1 dense:1 bottom:2 unavoidable:1 detections:5 comments:1 contributing:1 t10:1 unipd:1 minimization:1 shifting:1 post:2 super:5 properties:1 numerator:2 o:1 ensure:1 islands:1 efforts:4 slightly:5 automatically:2 queloz:1 metallicities:4 presence:8 lies:2 right:5 thinned:1 refined:1 reducing:2 initial:3 subdivide:1 approximate:1 accordingly:1 way:4 astrophysics:2 was:87 lowest:1 underestimated:1 form:3 forming:1 differences:3 catelan:1 failure:1 ambitious:1 solar:16 removed:5 true:1 absent:1 isis:3 prevents:1 inside:15 detectability:5 maximum:7 considered:15 panels:1 proved:1 implications:3 abstract:1 evidence:2 tosi:1 exist:1 simulations:24 distributions:9 archive:1 triangles:2 ni:2 dotted:1 no:13 nb:4 when:6 nf:3 composite:7 setting:1 role:3 investigations:2 test:4 eclipse:4 fell:1 palma:5 variable:5 hyades:3 longer:2 abscissa:1 assume:1 interval:4 together:5 time:14 n1:9 neighbors:1 ron:1 claret:2 gorti:1 afosc:1 devoted:2 transiting:36 certainly:2 depend:3 technique:17 environment:4 finally:5 brown:2 advantage:4 choice:1 little:1 level:12 did:9 turns:1 dif:1 fragile:1 hawaii:15 grundahl:2 dip:2 mochejska:8 upper:9 work:5 occurrence:1 bakos:4 sign:2 ccds:2 targets:2 spectral:2 arellano:2 adds:1 appear:1 bo3:4 uniform:2 current:2 subtracting:1 filled:2 understanding:2 groups:2 address:1 laughlin:3 along:2 appears:7 box:3 instituto:3 institute:1 shift:1 studied:2 funded:1 commonly:2 simultaneous:1 poisson:2 usually:1 myers:1 studies:5 plotted:1 regardless:1 convolution:1 extra:4 1st:3 bertelli:1 positive:3 univers:1 periastron:1 criteria:3 theoretical:5 outputs:1 apparent:6 visual:7 cases:13 effort:2 originally:1 modified:7 ferro:1 values:17 9th:1 following:8 dedicated:4 figure:9 stetson:16 sample:12 spm:23 council:1 allowed:2 spanning:2 monitoring:1 discussion:1 fourth:1 optimal:1 parameter:6 divides:1 undertook:1 product:1 fmin:3 huge:2 may:7 4th:2 mag:12 date:1 data:79 eighth:1 dynamical:5 6th:2 explicit:1 yielding:1 so:8 progressively:1 nout:2 typical:3 indeed:3 thresholds:8 mainly:1 osservatorio:4 years:4 experiments:1 statistical:1 peterson:2 still:2 observational:7 derive:2 group:2 monitor:2 interesting:1 vicinity:2 daophot:8 ornelas:1 window:22 dwarfs:1 mail:1 main:19 correspondence:1 non:4 views:2 evolution:6 kjeldsen:3 half:3 now:2 discuss:1 didn:3 advent:1 realistic:7 luminosity:1 photometry:67 metalrich:1 square:3 significantly:4 ed:1 eg:1 gaussian:3 astrophysical:1 eu:1 crowding:4 canada:4 shown:16 3rd:4 space:1 furthermore:6 squared:1 bls:12 increase:2 contained:2 investigation:2 formula:4 51s:1 squares:1 shows:11 diameters:1 million:1 seventh:1 fisica:1 possibility:4 quite:5 allstar:1 onoma:1 impose:1 turn:5 massive:3 2005a:2 2005b:2 first:18 carney:1 rms:19 comprised:1 specifically:1 directly:1 impossible:1 array:1 open:20 size:4 given:10 checked:2 iaa:2 indicate:6 returns:1 1k:2 1m:2 national:4 gives:1 exploring:1 fraction:3 mostly:2 continuous:3 braun:2 centroids:1 gaudi:5 eliminated:1 than:43 coefficients:3 wide:4 l47:2 effective:2 favors:1 crowded:3 future:4 were:69 stanek:6 pre:1 san:11 remained:1 correction:4 exceeded:4 say:1 pisces:2 20m:6 any:13 kaluzny:3 isolate:1 aside:1 note:2 sciences:1 ideal:1 nascent:1 take:4 davies:3 multiple:1 normal:1 clearer:1 evaporate:1 invoked:1 pair:1 inserted:1 especially:1 surprising:1 discarding:1 average:2 adopt:2 corwin:3 drive:1 barman:1 typically:3 quantity:1 drastically:1 spaced:1 show:10 discovered:5 bright:2 zwart:2 threshold:7 ground:4 ratio:2 behind:1 only:27 black:1 equipped:2 thompson:1 get:3 arcmin2:5 masking:3 ferent:1 nearly:2 baraffe:2 laguna:1 median:12 tenerife:1 summary:2 portegies:2 fainter:3 discussing:1 kernel:5 loiano:31 relative:16 unaltered:1 uncorrelated:1 detect:7 ways:1 sites:16 outside:4 between:25 geometric:2 across:2 multiplied:1 parent:4 refine:1 revealed:1 jovian:2 chatterjee:1 jd:1 tuc:2 pixels:3 concentrated:2 dates:1 many:3 region:12 according:1 nearby:2 among:3 jitter:1 color:3 deviating:1 period:19 sampling:1 iterations:1 moreover:6 considering:20 absence:1 endl:1 isochrone:5 cosine:1 anomalously:1 direction:2 nref:3 formed:3 photon:4 6m:1 observers:1 observe:1 external:4 suspected:1 those:8 case:26 fiducial:1 pritzl:1 promising:2 investigating:1 σa:1 characteristics:1 zucker:3 cluster:59 sudden:2 carraro:10 binary:5 different:42 verified:1 proto:2 same:21 shifts:2 epoch:2 html:1 cen:2 events:1 closest:2 companion:2 director:1 running:2 totally:3 largely:2 without:1 dashed:7 coordinate:2 ccd:2 model:4 binaries:5 whereas:1 consisted:1 being:4 distinguishing:1 disperse:1 summed:1 sampled:1 weldrake:6 except:3 improvement:2 instrument:1 bigger:1 constant:23 extensive:3 disrupt:1 real:5 around:26 read:1 astronomico:2 psf:35 department:1 grid:1 using:9 adams:5 reducer:1 aigrain:2 either:1 always:1 reduced:7 reaches:5 reveals:1 pacific:1 calculated:13 table:27 duration:6 provided:3 confirm:2 extensively:1 conservative:2 critical:1 provides:2 thorsett:1 refer:1 biased:2 airmass:1 power:2 sixth:1 equivalent:1 tde:13 biases:1 references:2 2m:1 refers:2 repeating:1 comparison:9 central:3 package:5 discussed:5 acs:4 greatly:1 neighbor:4 mean:14 inclusion:2 instruments:2 image:39 accounts:3 determine:1 strip:1 bedin:1 log:2 prepare:1 area:3 assumed:11 there:2 r3:5 dispersion:5 encounters:1 low:6 stars:116 hartman:2 assumes:2 tight:1 enough:1 guillot:2 mnras:12 trying:2 datasets:1 applying:2 systematics:1 vhj:1 2003b:2 2003a:2 strongly:2 taylor:2 ak:3 describe:2 general:12 ap:1 au:6 planets:105 48s:1 again:3 completeness:1 ideally:1 green:1 field:24 piotto:3 deviation:3 durations:2 includes:1 deriving:1 arcmin:2 important:12 peak:1 suited:1 included:2 conclusive:2 offprint:1 mask:1 mass:12 starting:3 original:1 represent:2 consider:3 pointing:1 caused:3 lack:6 cooperative:1 follow:1 disk:3 transits:64 causes:1 spain:1 th:2 ti:4 demarque:1 presentation:1 far:17 l5:1 fall:1 difference:3 induced:2 t8:2 t9:2 t6:1 t7:2 t5:2 list:5 applicable:2 large:4 splitted:1 small:5 neighborhood:1 ten:6 past:2 rate:2 pasp:5 displays:2 qma:5 further:4 gunn:1 what:8 villanova:1 sub:4 deeply:1 section:11 offsets:1 brief:1 version:1 cfh12k:2 fractional:3 method:3 bonnell:2 arcsec:9 iraf:2 resulted:1 hours:10 19h:6 excess:1 strong:5 observing:34 search:48 inspired:2 allows:1 fatuzzo:1 periodic:1 narrow:1 brightest:8 via:2 followed:6 transit:100 analyzing:1 aimed:1 extinction:1 establish:3 detecting:1 readily:1 fregeau:2 takes:1 probabilities:1 faint:1 aperture:28 more:23 flat:2 corrected:1 instrumental:6 tested:4 zoccali:2 particular:11 known:2 dex:3 none:2 hour:1 science:1 equation:2 des:1 paragraph:2 nine:1 strategies:1 compare:4 challenging:2 pont:3 suggestions:1 accept:2 unbiased:2 minimum:5 numbers:4 sharp:1 axis:1 information:2 goal:2 rather:9 clarke:1 galactic:1 tried:1 fv:1 derived:7 bramich:2 catalog:1 fe:24 coming:13 short:4 interpolated:1 imagers:1 flwo:1 hodgkin:1 negligible:4 sect:23 sozzetti:1 ith:3 frandsen:3 gratton:9 developed:2 paper:10 filters:2 signs:1 its:8 rapidly:1 detected:4 cofin:1 systems:10 might:4 good:2 propose:2 yr:1 association:1 hereafter:5 fully:2 presented:5 micro:1 radial:5 found:12 universit:3 harboring:1 characterized:1 referred:2 heavy:1 undetectable:1 reduce:6 idea:4 expect:5 measurement:2 http:3 beyond:1 event:1 missed:1 since:6 research:2 montalto:24 6x6:1 occurs:1 asp:2 lawrence:2 mmt:1 reason:3 imaging:1 members:9 put:2 rises:1 beginning:1 generate:1 definition:1 unresolved:1 retained:1 reinforces:1 universidad:1 consequence:2 top:2 major:3 bragaglia:1 fischer:14 probability:19 prevent:2 number:69 armitage:4 revolution:2 done:8 defects:1 burke:2 introduction:1 twenty:1 5th:2 least:17 assumption:2 calculations:2 rates:1 hundred:1 recovered:14 observations:31 warmly:1 optical:6 favorable:3 authors:4 stairs:1 fred:2 king:3 kind:3 observatory:8 critically:2 double:1 aims:1 determined:5 kov:4 treated:1 binarity:1 suspicious:1 randomly:7 cleaned:1 concentration:1 null:6 nights:14 depending:2 speculative:1 astronomia:1 majority:2 build:1 added:10 reach:6 depths:5 most:15 experiences:1 significant:5 position:1 seasons:1 extremely:1 laboratories:1 windows:1 performances:3 clear:6 saturate:1 km:1 part:1 velocity:6 physics:2 sasselov:4 particularly:1 blended:2 scattered:3 evaporation:1 relation:3 cds:1 find:2 impact:1 giant:12 parameters:20 distributed:2 alfosc:3 subsection:1 factor:1 columns:2 giants:1 notation:5 distance:3 dependent:1 famous:1 listed:1 during:11 desidera:5 arxiv:1 investigate:1 common:7 activity:3 set:31 achieved:1 irregularly:1 see:27 sec:37 migration:2 close:15 chose:4 probable:3 diluted:1 rejecting:1 orosz:1 various:2 orbiting:6 consecutive:1 conditions:9 cfht:54 available:6 recently:4 attention:1 poorer:2 distinguish:1 both:6 recherche:1 toward:2 last:4 fitted:1 barely:1 sensitive:1 context:1 whole:11 point:6 simple:2 smith:2 corresponds:3 community:2 coincidence:1 instants:2 unfolded:1 simply:5 carretta:1 complication:1 described:17 transformations:2 create:1 rasio:1 due:13 pc:2 reduction:15 collected:2 ph:4 pl:2 pm:1 firm:2 generating:1 referee:1 precision:31 modelling:1 understand:1 representative:4 systematic:8 uncertain:1 grains:1 solid:6 reliable:2 b03:18 error:8 eclipses:2 2k:3 exclude:2 scheduled:2 vol:1 von:2 itself:2 triple:2 orbits:1 santos:4 confirms:1 italy:8 lengths:1 barnes:1 shorter:1 survey:6 higher:6 calculation:1 used:25 ricerca:1 levels:1 appreciable:1 robust:1 focal:2 recent:3 eigenvectors:3 lower:24 task:1 analysis:13 calibrated:3 nordic:4 consistency:1 observed:18 mref:2 shape:2 intervals:2 useful:1 tables:1 conclusions:3 source:4 σsky:1 sydney:1 input:4 exoplanet:1 bin:2 marco:1 evaluate:2 marcy:1 imposed:1 excluding:1 semi:3 shaped:1 follows:2 signal:4 eev:1 flux:2 essential:1 methods:2 some:11 back:1 hartmann:1 towards:2 sight:2 konacki:3 scale:8 measurements:4 per:1 bruntt:7 tends:1 hd209458b:2 inclination:5 inserting:2 run:2 annular:3 agreement:2 cochran:2 step:6 elixir:2 tidal:1 optimize:1 range:13 modal:1 consequently:1 seeing:16 into:9 within:4 nsf:1 appropriate:1 frames:2 proportional:1 france:3 nsw:1 zniak:1 tingley:4 undertaken:1 institut:1 ministero:1 measured:5 question:1 long:6 tucanae:2 analyze:1 sections:1 etc:3 elsewhere:1 properly:1 line:20 padova:5 uv:2 up:4 us:2 planet:83 2πs:1 un:1 spectroscopy:2 sum:2 continuously:1 highlight:1 similar:5 called:2 associated:5 defined:6 metal:10 influence:1 doesn:1 images:35 single:7 unsaturated:1 chance:6 fixing:1 points:11 nat:2 konkoly:1 elements:1 calculating:2 girardi:2 astrofisica:2 problems:1 meaning:3 allowing:2 fisher:1 correlated:1 implies:1 algorithm:37 age:4 required:5 orbit:2 depth:11 declination:1 incomplete:2 having:4 s03:3 partial:1 illustrates:1 results:20 eds:1 edu:2 go:1 contributions:1 inferences:1 seemed:2 excludes:2 concerned:2 young:1 send:1 uniqueness:1 seager:2 helps:1 excluded:1 atlas:1 include:3 indicating:1 confirmation:1 continues:1 inclinations:1 putting:2 entire:6 positions:6 radii:19 try:1 inspection:1 noted:5 concluded:2 smaller:15 compensated:1 cfh:1 folds:1 imply:1 artir:7 copenhagen:1 universities:1 index:5 plays:1 giving:1 precisions:3 3m:1 canarias:1 sigurdsson:4 extrasolar:3 respectively:7 l21:1 desired:1 explore:1 objects:2 focused:1 separation:2 others:3 consideration:2 extreme:1 whipple:2 asiago:1 involved:1 larger:16 leaving:1 suggests:2 resulting:11 makes:3 foresee:1 scales:2 apr:1 photometric:63 apj:18 decrease:2 limb:4 apply:2 clockwise:2 use:6 remains:3 chi:2 next:3 few:7 butler:2 started:3 trait:1 normalized:3 iii:2 account:7 crosses:1 phot:2 obvious:1 scatter:1 performed:15 tau:1 process:1 vicolo:2 palla:1 purposes:1 high:11 assumptions:7 tab:10 ascension:1 darkening:4 varied:1 sit:1 six:1 regions:10 located:4 instead:6 sin:1 circular:1 collection:1 independent:2 brera:1 light:69 counter:1 separations:1 gilliland:3 allow:3 looking:2 bins:9 horne:2 saturated:1 astronomical:5 tamuz:4 interpreted:1 symbols:2 including:2 fwhm:1 aj:11 bridges:2 exclusion:1 la:7 chosen:4 temporal:3 circumstellar:2 degrees:3 covered:2 pixel:11 freeman:1 greater:1 bellazzini:2 subtraction:18 day:2 february:1 university:2 tran:1 identified:6 astronom:1 magnitude:39 accompanied:1 identifies:3 subset:1 evaporated:2 climatic:1 society:2 frequency:39 measure:4 our:65 tenth:1 out:7 maximized:1 electronics:2 ref:1 announced:1 interactions:1 fourteen:1 approaches:3 sparser:1 interaction:1 42s:1 could:11 times:12 length:5 hence:3 retain:1 manuscript:1 merate:1 israelian:1 owned:1 reached:2 quality:4 l39:1 ordinate:1 observer:3 bologna:1 histograms:3 system:6 adopted:19 their:22 detectable:12 final:7 exactly:3 lists:1 environmental:1 july:13 outline:1 epochs:2 hatzes:5 richer:1 submitted:2 amplitude:3 radius:12 providing:2 exhibit:1 false:8 irwin:1 curves:43 kepler:1 need:1 doi:1 clearly:2 instrumentation:1 angle:4 studying:1 able:10 mechanism:1 concerns:4 milli:1 detector:11 subject:1 accuracy:1 unless:1 centre:1 courtesy:1 eight:4 histogram:1 intrinsic:1 class:5 hj:1 lee:1 subtracted:7 neighboring:1 stronger:1 face:1 artificially:1 constrain:1 fact:6 selection:10 text:2 purely:1 convolved:2 agrees:1 decade:1 staff:1 based:8 knowledge:2 ngc:94 should:18 candidates:45 local:1 meant:2 handle:1 means:10 overall:3 ones:3 canary:1 words:1 probably:3 thomson:1 processes:3 denmark:1 fixed:3 embryonic:1 view:4 computed:2 acquired:6 frame:1 correlations:2 turbulent:1 intensity:1 paulson:2 enhanced:1 operated:3 exploited:1 pattern:1 tend:1 correctly:5 routine:7 crude:1 ruling:1 variability:4 comparable:3 efficiency:7 hypothesis:4 key:1 configuration:1 distribution:20 lc:2 interpretations:1 instant:1 limits:2 taking:4 equal:6 assure:1 passing:1 masses:2 otherwise:1 detailed:3 relevant:1 conclude:2 poissonian:1 cf:1 environments:5 decreases:1 sequences:2 respect:11 allocated:1 rpl:1 second:5 addition:1 bianchi:1 recognize:2 compensating:1 outliers:1 lupton:2 myr:1 corresponding:4 kovacs:3 angles:1 clusters:29 present:9 multi:3 atmospheric:1 value:15 will:1 fielding:2 almost:5 vi:3 thus:8 site:7 surface:1 vs:2 orbital:5 generic:5 radiation:1 cross:2 member:1 largest:1 l141:1 infer:1 difficult:1 pho:1 photoevaporation:2 upon:1 effect:12 spurious:10 dust:2 php:1 requests:1 mosaic:1 correspondent:8 off:6 center:2 nevertheless:2 colour:1 modeled:1 well:5 residuals:2 sets:20 firstly:1 comparisons:1 jupiters:4 less:6 increasingly:1 accurate:3 obtain:10 sources:4 underlying:1 taken:10 preprint:1 density:3 sky:13 nacional:1 reasons:2 add:1 match:1 reducers:1 identical:1 tests:4 increased:5 scientifica:1 increases:1 press:1 scientifique:1 loss:1 necessary:2 like:7 success:1 hosts:2 page:49 therein:1 poor:2 because:14 sequence:19 searching:1 francisco:1 highlighting:1 sufficiently:1 demonstrates:1 avoid:1 thank:1 does:3 assuming:10 eso:1 demonstrated:3 limitations:3 loral:1 noise:28 slight:1 stellar:17 host:3 although:1 panel:4 gained:1 about:13 actual:1 carried:1 column:7 universe:1 dependence:1 recognized:7 compatible:1 introduced:2 software:4 homogeneous:1 equally:1 own:2 coverage:4 functional:1 dataset:1 weather:4 artifacts:1 mcmillan:2 quadratic:1 function:13 but:14 hu:1 astro:4 repeated:1 m05:9 partially:5 made:6 evident:3 gravitational:1 variations:7 below:5 limit:6 empty:1 iterated:1 problem:3 curve:25 contribute:1 linearity:1 pix:1 periods:10 inc:1 compared:3 other:24 details:4 percents:1 conclusion:2 herzberg:1 star:51 variation:7 metallicity:29 astronomy:4 exposure:7 searches:4 apertures:1 factors:3 lasted:1 4m:2 searched:2 8th:2 disruptive:1 |
0704.1669.txt |@word essay:3 fredenhagen:1 quarks:1 gr:10 apex:1 lack:1 results:4 existing:1 leads:1 entropy:2 francesco:1 go:1 operationally:5 amplified:1 contributions:1 issues:1 consider:2 crossover:1 college:1 equivalence:1 spirit:1 uniqueness:1 daniel:1 present:7 th:5 under:1 characterised:1 dramatically:2 ingredient:1 brown:1 conjecture:1 global:1 consequently:2 far:1 wave:4 crosses:1 mixing:2 deformations:1 entire:2 europhys:1 morley:1 presented:4 ref:2 proposals:3 intricately:1 discrete:1 generalises:2 small:1 eigenvalues:1 mangano:1 noted:1 enjoy:1 strongly:1 ten:1 consistent:2 direct:1 equation:2 fold:2 likely:1 enumerated:1 perspective:1 follow:1 incidentally:1 further:1 iα2:1 canonical:1 established:2 what:1 appear:1 section:2 axes:1 near:2 lengthy:1 experiment:4 above:2 new:8 falling:1 exercise:1 satisfy:2 justification:1 explosion:1 notions:1 relates:1 modify:1 here:4 behaviour:1 desired:1 identifications:3 galilean:1 jcap:1 xν:6 aftermath:1 along:5 strong:4 equations:3 change:1 extreme:3 obtained:1 cern:2 items:1 inspired:1 larger:1 allows:1 suggests:1 resulting:1 christchurch:1 spacetime:10 involves:1 uniquely:1 examining:1 followed:1 figure:3 scales:1 requiring:1 explained:1 concurrently:1 private:1 highly:1 resolutions:1 operational:2 establish:2 planck:5 clifford:2 proceed:1 working:1 remains:1 spontaneous:1 contains:2 next:2 scenarios:2 dimensionful:1 examination:1 therefore:1 taken:3 planckian:1 theoretical:1 more:1 duality:2 lambiase:1 becomes:6 operators:4 apparent:2 refrain:1 trail:1 spatio:1 particular:2 known:3 foundations:1 hole:6 veenendaal:1 must:8 evolves:1 springer:1 stabilized:1 word:1 deformed:1 science:1 inertial:2 rutherford:1 iα1:1 modified:2 iα3:2 theories:6 suggestive:2 infinitesimal:2 values:3 mp:1 pλ:2 following:5 making:1 modifies:1 averages:1 example:2 def:3 august:1 weaker:1 unmarked:1 cosmological:5 process:5 relativistic:3 arise:1 recover:1 conspire:1 states:3 sphere:1 assumptions:2 something:1 buchert:1 sense:1 pν:5 occur:1 axis:2 influenced:1 needs:2 end:1 provide:2 discussion:4 breaking:1 write:1 immune:2 nontrivial:1 opposite:1 frontiers:1 rasanen:1 widespread:1 parameter:3 displacements:1 massive:3 de:3 description:7 mendes:2 algebra:40 may:10 minimum:1 confirmed:1 apµ:1 consequence:1 explored:2 collins:1 data:1 doplicher:1 constants:4 bekenstein:1 changes:2 natural:1 dynamical:2 negligibly:1 light:2 departure:1 element:1 accelerated:1 so:6 fundamental:7 representation:1 subsequently:1 divided:1 invariance:1 origin:5 interpretation:3 dx:3 considerations:1 indeed:2 over:1 constrained:1 ahluwalia:6 entity:1 stability:1 thermal:1 already:3 through:2 thesis:1 argued:1 existence:2 satisfies:1 suffer:1 its:10 before:2 santiago:1 supplemented:1 symmetry:5 located:1 chosen:2 temporal:1 relativity:5 unity:2 late:1 primordial:3 microscopic:2 fig:4 mail:1 main:1 might:1 alter:1 τp:1 non:3 motivated:1 severely:1 questions:1 maggiore:1 regarding:1 elementary:1 emphasised:1 framework:3 bang:6 effects:7 oxford:2 now:1 day:1 continuum:1 easily:3 term:1 holographic:2 alex:1 mathematician:1 university:2 traced:1 identified:1 hepth:4 establishing:1 arrow:1 2c:3 crossing:1 inherent:2 difficult:1 side:1 homogeneous:1 aa:1 astro:1 significantly:2 instability:7 reference:1 ed:1 energy:5 stabilisation:2 related:1 poincare:1 inhomogeneous:2 expect:4 measurement:3 quantum:43 our:3 beyond:1 eq:4 event:2 stabilised:1 emerges:1 shown:1 space:22 restricted:2 furthermore:3 since:2 rev:2 particles:4 re:2 contained:2 investigation:1 rel:1 reader:2 suggesting:1 induced:4 issue:1 viable:2 math:1 shows:1 inevitably:7 theory:7 sahlmann:1 state:3 free:1 standard:1 formation:5 york:1 besides:1 ask:2 sbh:1 hubble:2 geometry:1 transition:1 cosmic:17 length:5 lundqvist:1 canterbury:2 signature:1 hence:1 undergo:1 first:3 xj:4 xk:1 xi:1 features:1 render:1 number:2 sasakura:1 done:1 carry:5 michelson:1 size:1 necessarily:2 temperature:1 similarly:3 introduction:1 system:2 relations:1 their:6 perturbations:2 observations:1 hurdle:1 convention:1 underlie:1 structures:1 gives:1 commutativity:3 obtains:1 courier:2 schwarzschild:1 acquire:2 serve:3 immediate:1 somewhat:1 authors:1 wiltshire:1 translation:2 believe:1 than:1 distance:1 determines:2 parenthetically:1 penrose:2 horizons:1 require:1 evaporates:1 depends:2 scarpetta:1 roberts:1 matter:1 determined:1 were:4 radius:1 insightful:1 hologram:1 fashion:1 symmetries:7 unchanged:1 modern:1 argument:3 yielding:1 manner:1 need:1 seen:1 cosmology:3 any:4 acceleration:1 lie:10 grumiller:1 latter:4 gravity:28 mechanism:2 note:3 instance:1 high:2 take:4 schematically:1 gravito:1 l113:1 heisenberg:26 lectures:1 play:1 towards:2 inhomogeneity:1 shall:4 probed:2 removes:1 swain:1 knew:1 reach:1 algebraic:20 boltzmann:1 gravitation:1 connected:1 locality:1 significant:4 remarks:3 acknowledgements:1 intrinsic:1 class:8 xµ:22 zealand:1 constancy:1 observation:2 considered:1 calculated:1 implications:4 inferred:2 order:5 traditional:1 accounted:1 principle:5 mechanical:4 physics:8 away:1 fact:2 laws:1 sector:3 incorporate:1 spatiotemporal:2 violation:1 probe:1 evaporation:1 discovered:1 relation:2 fine:2 find:2 based:6 parameters:3 merger:1 explain:1 assertion:1 should:5 only:2 black:5 factor:3 identification:1 isham:2 local:1 equilibrium:1 continuity:6 his:1 gev:2 viewpoint:1 di:1 dependent:3 renaud:1 express:1 freezing:1 watson:1 aforementioned:1 competing:1 scardigli:1 interpreted:1 gen:1 ssb:2 symbols:1 evolution:3 scene:1 evident:3 explore:1 fields:3 arxiv:24 veneziano:1 yield:1 bag:1 qc:10 paper:1 contrast:1 though:1 including:1 implication:1 fixed:1 distinguishes:1 view:8 reveals:1 requirement:1 set:1 statistical:1 observer:1 chryssomalakos:2 physically:3 frame:1 emergent:2 mentioned:1 see:5 sec:3 result:4 poincaré:1 incorporating:1 parallels:1 said:1 containing:1 purpose:1 subsequent:1 review:3 opening:1 written:1 future:1 various:2 between:1 conceptual:1 invariant:1 boundary:1 conditions:1 interpretational:3 ends:1 terms:2 creating:1 nature:5 importance:1 gedanken:1 however:1 inseparably:1 vanishing:1 hypothesis:1 extent:1 probing:1 come:4 thank:1 suggested:1 observable:1 essentially:2 last:1 candidate:1 limits:1 xλ:2 many:1 taking:1 uncertainty:5 equal:1 july:1 quantization:1 energies:1 connection:1 context:3 variance:1 contribution:1 argue:4 mann:1 wald:1 generalisation:2 point:3 simple:1 aspect:1 olle:1 corresponds:2 whatever:1 dimensional:2 interface:1 publishers:1 consideration:1 constant:2 neutrino:1 pp:1 tuning:2 second:1 west:1 px:4 three:3 been:5 screened:1 int:4 reduction:2 much:1 combined:1 hawking:1 pj:2 pk:3 ph:1 algebras:5 hardly:1 define:1 direction:2 grqc:4 unavoidable:1 reaction:1 generalisations:1 thousand:1 observers:1 noncommutative:1 understand:1 representative:1 realms:2 demand:1 c3:1 vilela:2 careful:1 spin:8 former:1 c5:1 case:2 splits:1 empirical:1 value:1 will:4 frameworks:1 while:3 overcome:1 freely:1 situation:1 conformal:20 introductory:1 procedure:1 detailed:1 urrutia:1 century:1 phenomenological:1 refs:1 cerdeira:1 thus:5 surface:9 encountered:1 confining:1 cone:2 haro:2 technology:1 garay:1 around:1 different:2 revolutions:1 perhaps:1 suggest:4 make:1 lett:9 same:1 poincar:14 epoch:5 parts:1 quant:5 arguments:1 modification:4 dimensionless:3 physical:24 events:3 higher:1 development:1 extended:1 singapore:2 upon:1 hand:1 inhomogeneities:9 introduce:1 reucroft:1 hβ:1 identity:1 dark:1 supports:2 scenario:2 pµ:24 makes:1 underlies:1 no:1 well:2 analysis:3 thought:1 without:2 consistency:1 coordinate:2 position:2 kempf:1 self:1 distances:1 world:1 just:3 increasingly:1 paragraph:1 lorentz:2 obtain:1 rest:1 homogeneity:5 imprint:1 underlying:5 identify:1 unifies:1 using:1 macroscopic:1 momenta:1 speed:2 yet:3 cut:1 generator:3 hint:1 had:3 except:3 mathematically:1 other:3 combine:1 location:1 problematic:1 stable:2 structural:1 momentum:4 generalized:3 identical:2 aspects:2 nielsen:1 big:6 capozziello:1 possible:4 early:4 unification:2 birth:1 press:3 2p:4 string:1 mod:5 loss:1 modifications:6 massless:1 particle:3 success:1 follows:2 isotropy:1 translates:1 specific:2 remind:1 yields:1 lose:1 multiplicative:4 become:2 reduced:2 accessible:4 because:4 often:1 classical:3 creation:4 some:2 back:3 algebraically:2 understood:1 einsteinian:2 broglie:1 oscillations:1 peter:1 ourselves:2 exists:1 provided:1 scale:8 encouraging:1 lead:1 renamed:1 measurements:3 antimatter:1 ishibashi:1 does:7 provides:1 prog:1 unstable:1 minimal:1 faddeev:2 scientific:1 seconds:1 neutrinos:1 bh:2 grav:6 expansion:1 how:2 leptons:1 found:1 dictated:1 takes:3 about:1 would:3 extension:1 universe:8 camelia:1 dependence:6 essential:1 carries:1 seeds:3 horizon:1 suggestions:2 introduced:1 slightly:1 mathematical:2 owe:1 maxwell:2 into:2 within:2 obtaining:1 bound:1 due:2 down:1 phase:2 right:1 references:2 determine:1 einstein:1 operator:3 classicality:1 uncertainties:1 hep:5 additional:2 prepare:1 area:1 assumed:2 there:2 question:1 long:1 imperial:1 clocks:1 lost:1 describes:1 way:1 hooft:1 was:6 function:1 speculate:1 perplexing:1 form:1 vucetich:1 jun:1 but:4 somehow:1 volume:1 butler:1 encoded:2 candidacy:1 true:1 adler:1 jµν:21 sudarsky:2 made:1 places:1 wish:2 gravitational:3 generating:1 up:5 us:2 below:2 limit:5 problem:2 similar:3 called:1 interplay:2 mechanics:4 model:1 ac:1 associated:10 defined:2 coincides:1 universal:1 measure:1 hypothetically:1 frames:2 general:6 exist:1 formulation:1 amelino:1 perez:2 formalism:1 metric:1 constructed:1 again:1 susskind:1 polarisation:8 asymmetry:1 allow:1 when:3 reality:4 field:1 nz:1 setting:1 role:3 special:1 spatial:4 department:1 mathematics:1 confine:1 immunity:1 conclusion:1 hδij:1 stringy:1 problems:1 commutator:3 meaning:1 important:5 astronomy:1 structure:10 began:1 building:1 assert:1 implies:1 requires:1 factors:1 theor:2 notion:1 mass:3 time:7 lives:1 resolution:1 schritt:1 once:1 |
0704.1670.txt |@word replacing:1 secondly:1 positions:1 gt:2 partial:1 consider:13 represent:1 results:1 invent:1 four:2 gf:6 ge:2 proposition:1 ga:3 edu:1 consists:5 follow:1 gm:2 disk:11 rectangles:12 gi:3 skeleton:27 compact:8 whose:6 dα0:1 tw:13 segments:8 smoothly:1 tp:4 γk:45 finally:1 does:4 tj:5 aut:7 under:1 connecting:1 tb:9 p2:1 vers:1 r12:4 preserved:1 legendrian:53 far:1 choice:2 corollary:2 endpoint:2 every:1 interpreting:1 manifolds:8 affect:1 associated:1 condition:3 illustrated:1 usa:1 subsets:5 immediately:1 induction:1 t1:1 large:2 gd:4 small:6 glued:1 upper:7 work:1 neighborhood:5 d8:2 ten:1 overtwisted:4 2gf:2 d3:2 suffices:1 translating:1 d6:2 second:5 enclosed:1 d7:2 ribbon:27 canonical:1 even:2 established:1 what:1 developed:1 section:8 while:1 guaranties:1 cell:21 akbulut:3 above:10 method:1 new:8 row:2 acknowledgments:1 coefficient:3 supporting:17 full:1 shaded:1 contactomorphism:2 l1:10 component:10 equals:1 here:1 canonically:1 les:1 tangent:3 address:1 giroux:4 along:27 gabai:2 change:4 intersect:5 obtained:4 mehmet:11 property:2 divisor:1 division:3 study:1 resulting:2 stabilizing:1 graph:3 had:1 proof:12 makes:2 sup:1 missing:3 uniquely:1 stipsicz:3 via:2 stabilization:5 projection:6 family:2 extra:1 requiring:1 loi:1 p3:1 decrease:1 burak:1 rσ:2 rkl:5 total:2 detecting:1 f5:3 use:1 links:4 would:3 prove:5 distinct:1 positive:15 msu:2 contains:5 negative:1 next:2 depicted:2 m1:3 therefore:18 m2:3 taken:3 means:2 consecutive:1 type:4 twists:7 diagrams:2 more:8 introducing:1 rk1:1 initiated:1 r5:4 started:1 thus:5 equipped:1 constructs:1 pairs:3 berlin:1 everywhere:1 labelled:4 particular:6 known:1 etnyre:4 cases:2 must:2 springer:1 works:1 language:1 recall:4 originally:1 cap:1 mi:1 modified:2 mk:1 hopf:5 remain:1 itself:1 achieve:2 ms:1 following:12 meet:2 example:4 murasugi:2 beijing:1 compare:1 athens:1 want:2 figure:43 give:2 process:5 fibration:1 organized:1 r9:2 sphere:5 numbers:4 hyperplane:1 sense:1 times:1 r22:2 νk:3 axis:7 heegaard:1 gs:1 p4:1 darboux:4 holds:6 write:3 how:4 edge:1 pure:1 b5:2 instead:1 those:2 guarantee:1 parameter:1 divides:2 belongs:1 fp:35 map:4 honda:1 description:1 ding:1 arcs:8 bkl:3 after:5 mapping:3 ball:6 branched:1 diagram:16 consequence:1 plane:7 studies:2 coming:6 horizontal:3 fk:16 setting:2 compatibility:2 gcd:2 realized:1 eight:4 contactomorphic:5 slightly:2 grant:1 explicit:5 yielding:1 st:4 diffeomorphism:1 sj:6 si:6 cannot:1 so:16 definitions:1 sg:9 order:6 terms:2 restriction:1 selman:1 fillable:2 deform:1 indeed:4 over:2 choose:2 course:1 paper:1 counterclockwise:2 cuts:1 letters:1 satisfies:3 still:8 its:11 before:3 regions:3 position:1 group:3 thank:1 located:1 chosen:1 perturb:1 lj:32 coordinates:2 actually:4 better:2 subsurface:6 copies:2 lp:1 lq:6 mail:1 main:1 might:1 deformation:1 texas:1 ly:2 correspondence:2 ri:3 them:3 good:1 junction:1 conversations:1 r31:2 inductively:2 introduce:1 bound:7 differential:1 band:7 yz:5 nsf:1 they:5 reindexing:1 front:3 nov:1 now:4 realize:1 counter:1 finite:2 stabilize:2 lies:1 always:2 university:1 b3:2 identified:4 l6:1 theory:1 l5:1 l2:1 quadrant:3 reasonable:1 each:30 crossing:1 cusps:1 soc:5 unknots:1 2k:7 subset:3 arikan:11 square:5 plamenevskaya:1 society:1 books:10 connect:2 geiges:2 our:12 tubular:2 special:3 out:1 divide:2 restricted:1 furthermore:1 since:11 projected:1 denotes:3 rd:1 may:2 contained:7 vector:1 geom:2 reader:4 denoted:3 rn:1 induced:1 supports:1 correct:1 math:16 rk:15 bolyai:1 classification:1 performing:2 linear:2 associate:1 bennequin:3 little:1 standard:3 isotopy:11 homologous:1 collection:1 sitting:3 phd:1 beginning:1 homeomorphic:2 care:1 r4:3 definition:8 r6:3 r7:3 r1:6 r2:6 r3:18 geometry:5 omit:5 r8:4 running:1 keep:1 edges:2 hence:6 imrn:1 onto:8 support:11 first:9 knots:3 already:1 graduate:1 strengthened:1 omitted:2 thesis:1 number:14 restrict:1 least:12 another:6 precisely:2 open:57 summarize:1 constructing:2 given:37 perturbation:1 retracts:3 similarly:2 introduction:1 1k:17 construct:9 parallel:4 their:8 perturbations:1 draft:1 statement:2 ordered:1 structures:16 final:1 gives:3 f6:3 exactly:3 eliminates:1 immediate:1 transverse:5 part:6 gluing:2 copy:1 than:4 positively:3 finitely:3 kind:1 determines:5 require:2 depends:1 modelled:1 collinear:2 classes:1 were:1 1n:9 decompose:1 bridge:7 twisting:3 generality:1 lines:10 ann:1 dθ2:1 dθ1:1 correspond:1 say:5 elsevier:1 need:4 take:3 element:8 any:27 sk:2 depict:1 min:1 latter:2 indexes:1 note:16 instance:2 k1:6 subjects:1 ck1:5 generalized:1 ck3:5 ck2:5 interior:4 coincide:1 circles:1 et2:5 trefoil:10 sure:1 unknot:4 index:3 blackboard:1 satisfy:1 lyon:1 most:1 said:3 connected:5 r10:2 representation:2 pair:4 segment:3 pages:7 isotopic:6 considered:2 ckl:3 clear:2 later:1 flow:1 ext:1 hi:13 verlag:1 sum:4 fact:3 joining:2 precise:1 hi1:2 hi2:2 show:6 supported:3 isotopies:2 ki:10 2g:2 gauge:1 decompositions:6 d9:1 carefully:1 corner:5 d4:2 d5:2 d2:6 find:2 d1:10 homology:1 polygonal:3 fibrations:1 based:2 unions:1 topological:3 should:2 lemma:8 only:9 factor:2 circle:2 preliminaries:2 rectangle:5 3n:2 do:1 seifert:6 handle:8 dk:30 notation:1 get:18 intersecting:2 genera:3 de:2 dc:1 satisfied:1 ones:1 dz:2 framing:22 words:1 drawn:1 during:1 respectively:1 xdy:2 gray:1 winkelnkemper:2 initial:1 fields:1 arxiv:2 fixes:2 alteration:1 consisting:2 common:12 implication:1 fixed:3 surgeries:1 topol:2 ik3:2 kernel:3 ik1:2 set:13 toone:1 computed:1 exists:12 ik4:2 bounds:2 relative:4 see:19 arc:4 geometrically:1 result:2 existence:1 close:1 surgery:24 points:3 surfaces:7 et3:2 rotates:2 et1:2 extend:1 gompf:2 away:2 complementary:2 definite:1 boundaries:2 written:1 smallest:1 closed:10 between:6 invariant:4 boundary:16 conditions:1 notice:3 recently:1 vertical:3 lifts:1 modify:1 complement:1 however:4 meridional:1 article:2 amer:4 ker:1 improve:1 σk:6 both:1 σn:9 many:3 taking:8 correctly:1 equal:3 constructed:5 improves:1 receives:1 isotoped:1 passing:1 genus:20 comes:2 σt:3 arbitrarily:1 orientable:1 co:1 lefschetz:1 point:1 guaranteed:2 hungar:1 corresponds:4 fibred:1 dimensional:2 represented:1 r41:1 adding:2 r43:1 r42:1 respect:5 throughout:1 cw:1 skeletons:1 kp:4 forms:1 pp:3 pq:9 described:6 pt:2 piecewise:1 union:16 rg:1 locally:1 ai1:2 three:2 ai2:2 attaching:9 int:11 much:1 handlebody:1 basic:1 pk:1 ikl:3 pl:4 define:6 etrie:1 direction:1 arises:1 corresponding:17 am:1 body:1 remark:3 argument:1 observe:12 understand:1 covers:1 c3:4 c2:5 c1:4 denote:3 present:1 c4:4 case:7 twist:4 p1:2 unlike:1 invariants:2 solid:1 rectangular:6 will:21 near:1 suppose:4 monodromy:8 di:7 endpoints:5 region:12 rename:1 planar:1 satisfying:1 vol:2 ki2:5 vj:4 binding:3 surface:17 ii:2 vq:2 ik:1 dg1:3 αst:1 return:1 sits:7 ie:1 ik2:2 different:1 containing:2 null:1 d10:1 author:2 make:3 same:13 clearly:4 parts:1 split:5 several:2 tγ1:5 disc:3 used:6 embedding:2 lie:1 i1:2 i2:2 hand:2 v1:4 v2:2 v3:2 v4:2 v5:2 infinite:1 changing:4 identity:3 tγn:1 narrow:1 off:1 tγk:5 nevertheless:1 rdi:1 replace:5 without:2 helv:1 contact:121 greatest:1 components:7 very:1 ccd:15 perturbing:1 dimension:1 left:8 comment:1 manifold:28 just:1 less:4 being:2 resp:5 obtain:3 effects:1 seen:1 torus:10 handed:7 integer:1 facts:3 floer:2 k2:2 glue:4 yet:1 previous:6 oriented:10 unique:5 preprint:1 diffeomorphisms:1 tight:12 conclude:1 seems:1 goodman:1 improvement:1 add:3 other:14 lett:1 contractible:4 theorem:33 complements:1 east:1 remaining:1 euler:1 build:2 acta:1 clay:1 around:1 stein:6 thurston:5 kirby:1 bands:16 possible:1 topology:2 philos:1 knot:22 using:10 intersection:4 decomposes:1 like:1 rotate:1 necessary:1 helpful:1 electronic:2 follows:6 disks:9 diffeomorphic:1 ai:3 either:2 corners:4 pointwise:1 page:23 mathematical:1 calculus:1 because:5 old:2 namely:1 sequence:1 righthanded:1 erieures:1 sympos:1 some:14 presentation:1 certain:2 understood:2 b6:1 repeat:2 michigan:1 examples:3 b2:4 moreover:1 proofs:1 clockwise:1 describing:1 dimensions:1 icm:1 bottom:1 comments:1 providence:3 asking:1 decomposition:22 assuming:1 compute:3 intersections:1 proc:4 minimal:1 refer:4 core:5 bb:2 vertex:5 equivalent:3 arbitrary:2 bj:8 step:1 bq:1 although:1 putting:2 approximating:1 properties:1 takes:1 integers:1 conclusions:2 collinearity:1 working:1 extension:2 saddle:8 lansing:1 ob:9 o:1 topologically:3 compatible:6 important:1 bounded:1 idd:2 os:2 perturbed:1 cambridge:1 statements:1 h2:6 h3:2 into:10 h1:7 eo:2 h4:2 h5:2 modifying:2 ozbagci:5 appropriate:5 right:12 references:1 amsterdam:1 rows:1 stabilizations:1 area:2 ki1:5 measured:1 strictly:2 there:23 u1:10 handles:4 class:1 thirdly:1 handbook:1 low:1 way:4 subregions:3 call:1 was:7 function:1 considerably:2 arise:2 complete:1 form:6 enough:3 hp:3 trois:1 but:2 hk:2 construction:22 link:22 ho:2 lectures:2 line:14 true:1 partially:1 count:1 b4:2 made:3 applying:1 austin:1 embedded:4 versions:1 characteristic:1 cells:10 3k:2 smooth:6 up:6 us:1 theoretical:1 below:1 dehn:3 exploration:1 uk:10 planes:9 intersects:2 pm:1 similar:2 called:9 b1:3 smoothing:1 changes:1 sometimes:2 proved:3 defined:6 ξst:22 abstract:4 convex:1 ck4:5 ao:6 general:1 globally:1 ap:1 single:6 exist:3 eom:1 dα:5 again:5 extending:2 no:5 fixing:2 image:1 when:7 proceedings:1 virtual:1 surgered:1 field:3 disjoint:1 book:47 remarks:1 details:3 a6:1 department:1 mathematics:1 northholland:1 picture:2 introductory:1 elements:3 la:1 completes:1 separate:5 ξp:2 ξs:1 ξt:1 a1:4 a3:2 a2:4 a5:2 a4:2 r11:2 finish:1 strips:5 gets:1 structure:29 building:3 implies:1 algorithm:11 assume:6 interval:1 curve:5 together:3 equivalently:4 lift:1 lying:4 res:1 cores:2 starting:2 once:4 |
0704.1671.txt |@word aided:1 limited:1 abundances:1 l17:1 overplotted:2 observational:1 represent:4 aoki:1 lack:2 results:14 produce:4 integration:1 illustrated:2 cmpc:2 parametrisation:1 broader:2 edu:2 go:3 gawiser:2 abundant:2 tormen:1 compact:2 increase:2 scannapieco:2 exist:1 calculate:1 blakeslee:1 iii:43 technique:2 young:4 tail:1 contours:6 th:1 panels:3 presentation:1 worth:1 eliminate:1 case:2 luminosities:4 mpc:1 outside:1 very:26 conditions:1 choice:4 submitted:1 z850:4 ultraviolet:2 should:7 anonymous:1 fall:4 uncertain:2 difference:2 common:2 treating:1 leads:2 school:1 clouds:1 evolved:1 presented:5 transmission:35 cause:3 lequeux:1 obscuration:1 skewed:1 large:47 small:3 superwinds:4 referred:1 motohara:1 confidence:1 upper:7 strongly:2 marginalised:1 compensated:3 ten:4 prominence:1 consistent:6 estimates:1 prediction:2 galax:1 rhoads:9 surrounding:3 rate:8 evaluated:2 further:3 hernquist:1 goes:1 even:4 oldest:1 developed:1 appear:3 opaque:2 fact:4 sum:2 selected:31 while:9 uniform:1 kakazu:1 sur:1 above:2 net:1 increasing:5 boost:3 jumps:1 contrast:2 fiducial:1 evolving:1 simultaneously:9 chose:1 adelberger:1 dow:8 irac:2 l1:1 equals:1 here:6 4πd2l:1 l21:1 objects:1 l25:2 possibility:6 excess:5 active:1 based:2 quite:1 respect:1 appears:2 obtained:1 drops:1 dusty:1 shift:1 study:2 larger:15 allows:1 step:1 example:1 suggests:6 recently:1 resulting:2 resonance:3 narrow:2 studies:1 ies:1 plotted:1 emerge:1 prints:3 via:3 followed:2 lasts:3 telescopes:1 vii:2 verhamme:2 referee:1 decrease:1 stern:1 venkatesan:1 total:6 research:1 linearly:2 sky:1 plot:1 conventional:2 takes:1 would:13 analytic:2 remains:1 beginning:1 lying:1 faint:2 niii:7 pasj:3 next:4 few:7 nagao:2 therefore:13 characteristics:1 taken:6 enriched:1 associated:2 type:1 theoretical:3 reflects:1 more:22 separated:1 lowering:1 modification:2 technically:1 determinations:1 heckman:1 relax:1 composite:3 becomes:1 attenuates:1 starburst:1 envelope:2 symptomatic:1 fhwm:1 comoving:1 apjs:1 particular:2 known:3 cases:4 flyα:2 emphasising:1 must:3 abundance:1 high:35 account:2 preferential:1 steidel:1 originally:2 mn:1 dramatically:1 reproduce:7 erf:1 erg:7 values:6 emitters:10 caveat:1 following:5 under:1 ndata:2 scatter:4 iwamuro:1 performed:1 overall:1 compare:2 wang:4 figure:29 lbgs:31 blueward:1 increasingly:1 heidt:1 sample:13 effectively:1 conflicting:1 assumptions:1 numbers:1 allowed:3 interpreted:2 occur:3 simple:10 axis:5 end:1 goal:1 falls:1 provide:4 divided:1 get:1 sudden:2 feature:2 num:1 pirzkal:6 far:1 hot:2 pair:1 resolution:1 redward:1 hansen:3 instead:3 those:3 l9:1 parameter:5 profile:1 overdense:1 select:1 galactic:1 lai:5 spitzer:1 may:25 lae:5 after:4 kennicutt:2 containing:1 reflect:2 primordial:1 plane:6 kneib:1 iwata:1 mag:1 lidz:1 fits:3 horizontal:2 meaningful:1 mao:2 included:1 maihara:1 short:1 outline:1 effective:1 sets:1 light:1 prefers:1 spectra:2 lines:16 correspond:1 cosmology:3 completed:1 negligible:2 allow:1 correlation:8 halos:6 lasting:5 shimasaku:21 wind:2 typical:2 volume:1 fα:2 reproduced:1 least:3 help:1 ith:3 produces:3 indeed:5 over:6 toward:1 mainly:1 equally:1 nii:7 years:1 produced:6 course:1 dijkstra:20 paper:11 through:15 statistical:1 affect:3 differs:3 existence:1 cold:2 still:3 agrees:1 its:6 galaxy:23 before:2 lf:21 write:2 style:1 thank:2 fit:28 imf:1 chosen:1 sα:2 redshift:38 expectations:1 l75:1 ricotti:2 detected:11 according:1 triggered:1 systems:1 erases:1 mail:2 reionisation:2 main:1 might:2 huang:1 acknowledgments:1 good:5 affected:2 greater:2 combination:3 marginalising:1 surrounds:1 propose:1 outlined:1 practice:1 introduce:1 primary:1 break:1 band:10 transmissions:3 effects:3 they:5 half:2 producing:1 now:1 giroux:1 discuss:3 nor:1 densities:1 easily:3 february:2 finite:2 unreasonable:1 hereafter:2 brightness:1 always:1 university:1 drop:16 fluctuate:2 subaru:1 realistic:1 cowie:3 magnitude:1 transmitted:8 reasonable:2 each:6 found:20 likelihoods:3 difficult:1 side:1 mean:8 subset:1 bright:14 square:1 significantly:5 meets:1 generation:1 frequency:1 reduce:1 product:2 related:9 deficiency:1 ando:2 used:10 expect:3 lfs:28 our:42 ew:142 eq:11 mo:1 out:11 shown:27 missed:1 mcmahon:5 space:3 furthermore:9 since:6 denotes:2 content:6 rameter:1 mα:7 denoted:3 appenzeller:1 squares:3 issue:1 correct:1 red:3 shows:13 occurs:1 ionisation:1 suffer:1 theory:1 fluctuates:3 written:1 favored:1 derived:4 million:1 galaxies:99 surveys:3 free:8 standard:4 reason:2 base:1 formation:42 term:1 franx:1 likelihood:10 generate:1 additional:1 hubble:5 authors:1 widths:9 could:10 similarly:2 ferrara:4 moment:1 times:3 mab:1 place:1 massive:21 ism:1 hence:5 undergo:2 destruction:1 first:6 origin:2 spergel:2 probability:8 relate:1 number:20 explored:1 ǫdc:23 minimum:1 mmin:4 smaller:2 relations:1 directly:2 thick:2 fluxes:1 overlap:6 angular:4 peebles:1 illustrate:4 idea:3 taniguchi:2 given:12 necessarily:1 rewritten:2 likely:3 their:16 introduction:1 revealed:1 histograms:2 approximately:1 lapi:1 indicate:3 nebular:1 assumption:2 observations:14 calculations:1 cycle:3 aims:1 too:2 shell:1 stars:24 discussion:1 noll:1 relative:5 helpful:1 part:2 gyr:2 dtα:4 focusing:1 off:1 unimelb:2 intrinsically:1 population:80 plausible:4 malhotra:10 third:1 stanway:13 ara:1 was:14 require:4 older:1 namely:1 charlot:3 probe:1 matter:6 states:1 determined:3 contrary:1 were:3 ber:1 kunth:1 gives:3 steep:1 schneider:3 exhibit:1 hz:2 accounted:1 superwind:1 calculation:1 ages:2 spectrum:5 attenuation:5 yielding:1 already:1 substantial:1 ras:11 lbg:3 qualitatively:2 need:1 seen:1 granato:1 apparently:1 any:2 viewed:3 ray:3 lie:4 conversion:1 strength:1 angle:1 mostly:1 hayashino:1 partly:2 laes:77 latter:1 able:3 histories:1 mechanism:1 note:5 explanations:1 empirically:1 potential:1 absorbed:1 take:2 observationally:1 finding:3 so:1 explanation:1 highredshift:1 circles:3 blue:4 begin:1 differences:3 led:1 alleviate:1 test:2 normal:7 lα:43 victoria:1 did:3 most:4 detect:3 eight:2 printed:1 significant:4 phase:39 baryons:4 histogram:2 intrinsic:15 ionising:2 latex:1 lee:2 constructed:2 observation:3 surprising:2 illingworth:1 average:4 later:2 metal:1 inferred:1 order:5 odds:2 points:2 ohta:1 exp:3 distinctive:1 velocity:3 constrain:3 sf:1 typically:5 section:10 dot:1 precise:4 emerging:1 selection:6 naively:1 apj:16 show:13 text:4 detection:3 finkelstein:5 dependences:1 discovered:2 colors:6 relation:5 inconsistent:1 threshold:1 earth:2 especially:1 tend:1 data:14 find:4 impact:3 remedied:2 ratio:4 proposed:1 parameters:15 merger:1 explain:6 proportion:1 enough:3 than:27 jannuzi:1 brighter:4 only:25 difficulties:1 black:1 specify:1 factor:10 emitting:8 fstar:1 pointed:1 kashikawa:12 dn:7 do:3 dl:1 dm:13 lyα:156 distance:1 de:1 quantified:2 flattens:1 yielded:1 joint:1 remedy:1 cannot:3 cen:2 nearly:1 words:2 despite:1 report:1 during:4 respectively:4 du:7 subscript:1 quiet:3 reveal:1 md:1 continuum:7 ended:1 haiman:3 luminosity:26 arxiv:7 median:1 summary:2 capak:2 investigate:3 shull:2 predicted:8 though:1 activity:1 including:1 fixed:9 bouwens:7 generations:1 wyithe:11 set:4 modulo:1 reference:1 burst:8 physically:2 lifetimes:1 frame:11 jimenez:2 grey:1 observed:80 argued:2 see:20 individual:2 result:7 enhanced:2 discussions:1 close:2 luminous:3 uncorrelated:1 best:25 subject:2 closer:3 fails:3 muv:6 luv:1 suggesting:1 ways:1 subsequent:1 currently:2 bias:4 tamura:1 label:2 favor:2 state:1 future:1 various:1 between:11 danese:1 probably:3 neither:1 approach:2 available:1 multiplied:1 suppresses:1 terms:1 fiii:22 vertical:3 complementary:1 2σu:1 emitted:8 however:19 jr:1 efficiency:6 reproduces:2 hesse:1 hypothesis:1 key:1 unusually:1 distinguish:1 modeling:7 schechter:2 observer:1 suggested:1 both:4 σi:3 stages:2 prescription:3 salvaterra:1 limits:2 many:2 salpeter:3 conclusions:3 escape:1 equal:2 against:3 agree:1 sensitive:2 spinrad:1 variance:3 contribution:1 candidates:1 whole:2 masses:6 σu:15 duty:3 among:7 anti:2 passively:1 fields:2 timescale:1 conclude:5 reasons:1 had:2 others:1 narrower:1 corresponds:5 pop:1 coincidence:2 alone:1 simply:1 moreover:2 throughout:4 fwhm:2 second:2 widespread:1 unusual:1 strong:6 described:10 mention:1 lyman:1 powered:1 addition:4 hudf:2 he:6 due:2 cent:4 mark:6 describes:3 combined:1 interest:1 minimise:1 kodaira:2 ph:5 anomalously:5 fig:6 kudritzki:1 life:3 contribute:1 corresponding:2 samples:3 australian:1 quantities:2 dropout:1 formed:3 gas:4 interpretations:1 observers:1 observe:1 lives:1 systematic:1 astron:1 improved:1 evidence:5 present:2 iye:2 multi:1 stacked:1 supernovae:1 solid:9 reliable:1 harder:1 single:1 value:11 will:4 near:1 replaced:2 viii:2 error:2 situation:1 ultra:2 region:1 procedure:1 clustered:1 uncertainty:2 coupled:1 vi:2 thus:11 discrepancy:4 iv:2 ii:17 apjl:11 unit:2 fluctuating:8 avi:1 vw:2 limit:4 worry:1 different:4 moves:1 anymore:1 suggest:1 make:1 amount:1 same:6 clearly:3 unity:3 komiyama:1 arguments:1 mehlert:1 contain:5 ews:21 survey:2 reminder:1 several:2 composition:1 higher:5 independent:1 formalism:1 investigated:2 peaks:1 boosted:1 effect:2 counterparts:4 hand:3 v2:1 bromm:2 purpose:1 bunker:1 dust:13 changing:1 recent:2 early:3 lower:21 argue:2 kept:1 scenario:3 framework:1 bulk:1 random:1 modeled:2 well:8 enrichment:1 analysis:2 finds:1 without:1 redshifted:1 consistency:1 ew3:1 comparisons:1 model:131 possesses:1 comprise:1 left:6 construct:2 powering:1 quoted:1 less:8 being:5 when:11 loeb:7 obtain:2 rest:10 astroph:1 sources:6 shape:3 unclear:1 showed:3 predicts:8 partridge:1 facts:1 useful:1 alternative:1 scattering:2 yet:1 previous:3 yr:7 candidate:1 density:15 absorption:4 photons:11 point:5 evolve:2 transparent:1 source:1 valid:1 extends:1 halo:7 versa:1 terlevich:2 ruled:1 remaining:1 realisations:1 bin:2 l85:2 australia:1 increased:2 depends:3 alternatively:1 rules:1 maselli:1 myr:7 possible:4 dark:6 possibly:4 increases:6 grid:2 mon:1 background:1 press:3 using:6 prominent:3 dey:1 naturally:4 like:1 semi:2 systematically:6 confront:1 qualitative:2 performing:1 serves:1 units:5 ignore:1 flux:20 history:2 2007b:4 either:2 follows:5 become:1 barkana:3 ciardi:1 making:1 specifies:1 opacity:1 reaches:1 because:2 old:3 often:2 agreement:6 picture:1 existing:2 pettini:1 successfully:1 some:1 back:1 bounce:1 oh:3 σi2:1 towards:3 flatten:1 b2:1 redshifts:4 duration:4 translates:3 infall:2 exists:1 norman:1 neufeld:2 provided:1 gradually:1 scale:4 proceeding:1 broad:6 size:1 exceeding:3 per:6 l13:2 pell:2 does:6 zotti:1 tapken:3 provides:2 assuming:2 yields:1 imply:1 demonstrated:2 refer:3 lowest:1 who:3 equivalent:19 arbitrary:3 aj:1 use:1 illustration:1 stellar:22 host:4 occurred:1 although:3 accompanied:1 drawn:2 includes:1 properties:5 earlier:1 panel:5 comparison:7 about:3 inter:1 actual:1 acf:3 extension:2 constraint:1 universe:3 discussed:5 dependence:4 o:3 melbourne:1 range:19 regular:1 akiyama:1 stuart:6 propagate:1 constraints:9 denote:1 emissivity:1 xu:1 accessible:1 soc:1 contains:1 presence:6 previously:1 into:6 within:5 ahn:4 interstellar:1 three:2 mas:1 lies:3 appropriate:1 right:3 references:1 been:5 sheth:2 methods:1 clustering:4 span:1 log:14 σew:1 comparing:3 normalised:2 assumed:9 support:1 there:8 explains:3 stark:4 why:6 width:12 much:5 low:9 fraction:25 astrophysics:3 sections:2 synthesis:5 function:8 considerably:1 medium:2 parkville:1 form:1 upward:1 forming:5 becoming:1 criteria:3 jun:1 but:7 hu:8 astro:5 westra:2 cloud:4 shapley:5 solar:1 mnras:22 line:24 level:1 themselves:1 schaerer:6 fades:1 explaining:1 absence:2 embedded:1 whether:1 transmits:1 uv:57 maximum:5 work:3 placed:1 below:2 converted:5 ωm:3 mature:1 detectable:1 distribution:45 ωb:3 similar:3 calculated:6 nature:3 detailed:1 ohn:1 tsys:3 constant:5 reconcile:1 up:1 defined:2 abstract:1 describe:5 hypothetically:1 deep:7 general:3 images:1 mtot:5 arises:1 au:2 predictions:2 file:1 wavelength:1 lifetime:7 dawson:5 tα:76 distributions:6 physical:2 metallicity:3 l71:1 functions:10 compared:3 dotted:2 no:10 dashed:2 whereas:3 populations:5 percent:3 detail:1 tumlinson:6 field:3 other:6 compares:2 veys:1 papers:1 extinction:1 correlates:1 igm:40 expected:2 deviation:3 alternate:1 apparent:1 star:45 faction:1 models:15 fazio:1 emission:8 generated:2 important:1 peak:6 variable:1 ellis:1 died:1 upwards:1 searches:1 agn:3 younger:1 correlated:1 implies:7 calls:1 vice:1 assume:5 physics:3 age:5 required:2 together:1 original:3 inset:8 mass:25 presenting:2 time:8 bestfit:1 1mm:1 nuclei:1 requires:3 having:4 |
0704.1672.txt |@word neighbors:1 code:4 sci:3 consider:5 maximum:2 gupta:1 caused:1 activated:1 results:4 leads:2 eds:1 computation:17 maxima:1 consists:1 expressions:7 centers:6 row:3 increase:2 biol:2 calculate:2 head:1 iii:4 segments:1 finally:1 program:1 petersburg:1 under:1 include:3 heraeus:1 worth:1 case:5 supported:1 zhang:1 very:3 amorphous:1 choice:1 orientations:1 varshalovich:1 exact:4 condition:4 states:2 four:1 squares:3 arnold:1 level:2 θr1:2 notes:1 applicable:1 laue:1 large:11 vector:2 excellence:1 minimal:2 science:1 small:1 biological:3 shows:4 equation:5 configurations:2 concluded:1 upper:2 approximately:1 force:1 grateful:2 ten:1 trend:1 antigen:1 consistent:2 estimates:1 direct:3 r62:1 rate:1 cost:7 value:2 equal:4 chen:1 further:1 dynamics:12 implemented:4 covalent:1 linear:9 established:2 errors:2 section:8 associate:1 means:2 bipolar:3 version:3 axel:1 establishes:1 new:4 increasing:3 method:95 coefficient:3 lee:2 fiz:2 multipole:40 respectively:10 never:1 modify:1 here:2 atoms:9 reported:2 φr1:2 objects:2 separation:1 gunsteren:1 alone:1 standard:1 equations:2 appears:1 change:1 obtained:10 institute:3 study:6 vectors:2 allows:2 baschnagel:1 significantly:1 spheres:2 periodic:2 resulting:3 poisson:1 published:2 suitable:2 changes:1 nmax:1 via:3 useful:3 macromolecule:1 family:2 apr:1 distributed:3 marked:3 analyzing:1 soybean:16 translational:1 summation:1 total:3 establish:1 landscape:4 plot:12 use:5 john:1 dna:3 teor:2 give:3 charge:10 optimize:1 discrepancies:1 comparing:1 tm:1 m1:17 therefore:2 m2:17 scope:2 themselves:2 type:1 theoretical:1 minor:2 more:13 separated:3 optimizing:1 conformational:1 molec:1 becomes:9 operators:1 pancreatic:18 site:1 fixed:1 rigid:1 investigation:3 particular:3 known:2 cases:3 effort:1 topic:1 account:2 local:4 originally:1 created:1 modified:4 zhao:1 values:9 ms:1 westbrook:1 inhibitor:20 petersen:1 example:8 numbers:3 nearest:1 compare:2 figure:5 imφ:1 calculation:37 neglected:2 high:1 indicates:1 minimum:4 performed:3 tab:8 arise:2 sought:1 serial:1 axis:1 lysine:1 ilia:2 greengard:3 eng:1 provide:2 holds:5 range:4 chemical:1 far:1 varies:1 attachment:1 ensemble:1 esposito:1 plant:2 description:5 algebra:1 may:3 max:1 fz:1 earlier:1 space:2 imaginable:1 demanding:2 plane:2 autocatalysis:1 representations:1 2l1:4 parallel:2 constants:1 2l2:4 stress:3 short:1 natural:2 dynamical:1 johnson:3 computations:2 antibody:1 grant:1 lines:1 summing:1 ghz:1 st:1 rendered:1 rather:1 so:3 expression:8 holst:1 pincus:1 solov:14 order:4 joseph:1 operations:2 six:2 help:5 developed:3 over:2 mainly:1 years:2 stability:1 course:1 paper:10 discrepancy:2 its:2 before:1 regions:3 τl:1 group:1 thank:2 how:1 chosen:2 lo:1 masses:1 lm:2 vicinity:2 coordinates:1 forms:1 attraction:1 shimada:2 parts:1 degrees:2 harmonics:3 mail:1 scheraga:2 schmidt:2 decades:1 image:3 split:1 maximal:1 them:3 yl:2 parabola:1 gray:1 fragment:2 propose:1 greiner:6 fig:40 scaling:7 framework:17 repulsive:1 effects:1 they:5 closer:1 discuss:3 bank:1 kollman:1 biomolecular:3 term:3 lies:1 presented:3 proteins:17 proofreading:1 l2:27 reasonable:1 each:8 2l:5 instability:1 european:1 interfering:1 side:1 referred:1 reactions:1 activate:1 determine:2 series:4 energy:75 journ:8 principles:1 related:1 solution:4 rokhlin:2 multiparticle:1 our:6 transitions:1 eq:1 special:1 mat:1 leave:1 shown:14 missed:1 yakubovich:6 restricted:1 defend:1 since:4 rev:4 research:1 particles:5 acting:1 qb:1 ra:13 rb:11 nic:1 lecture:1 adaptive:1 millions:1 evaluation:2 ri:8 rj:5 θr2:2 solvent:3 theory:3 raises:1 interactions:6 million:1 possibility:2 quite:1 analytical:2 approaches:2 dependencies:2 formation:1 intel:1 estimate:1 definition:1 enormous:1 interaction:35 r0:29 fias:1 computers:1 times:2 turn:2 int:1 arkhipov:3 gordon:1 moskalev:1 unknown:1 quadratically:1 βn:2 top:7 first:3 ding:3 major:2 already:2 features:3 manuscript:2 omitted:1 vacuo:3 ql2:1 number:20 bhat:1 utilized:1 xy:2 done:1 long:2 another:3 zh:2 angular:1 size:26 given:8 cartesian:2 smaller:1 their:5 introduction:1 data:5 interact:1 system:54 least:3 needed:19 attack:1 fmm:40 chem:8 mosaic:1 calculations:2 ulich:2 white:1 molecular:7 ranging:1 gives:2 shifted:1 mostly:1 muramatsu:1 stephanie:1 environmental:1 part:1 than:20 coefficients:1 distance:6 kind:1 perfectly:1 determines:1 third:2 programs:1 depends:4 submitted:1 final:1 project:1 enzymes:1 lmax:39 electrostatic:4 pairwise:3 lamellae:1 str:1 were:12 biochemical:1 negatively:2 providing:2 powers:1 russia:1 complexes:2 comput:2 behavior:1 rewrite:1 acknowledged:1 unbinding:1 curves:1 correspond:3 randomly:3 angew:1 stanley:1 digestion:1 seen:4 gilliland:1 any:1 seminar:1 accounted:1 estimated:1 computationally:2 zero:1 depending:2 efficient:5 studying:5 self:1 ideas:1 contact:1 note:7 bourne:1 fitting:7 potential:37 build:1 forces:3 algorithms:1 adopted:1 accuracy:12 gill:1 memory:1 fcs:1 beyond:2 korol:1 biophysical:2 insets:2 most:3 virus:1 germany:1 significant:3 position:2 phase:1 coil:1 acknowledgements:1 probable:1 observation:2 considered:14 clear:3 later:1 schulten:6 traditional:2 points:9 exp:3 mechanical:1 berendsen:1 charged:4 physics:2 calculates:1 fact:1 gain:2 slope:1 selected:1 intas:1 show:2 text:2 random:2 convergence:1 radii:2 especially:1 suh:1 principal:14 larson:1 feng:1 provided:1 based:7 simulating:1 implementation:1 situations:1 proportion:1 written:1 should:5 being:6 only:10 explicitly:1 subsection:2 molecules:8 factor:2 parabolic:1 employed:1 thousands:1 vmd:2 achieve:1 biophys:1 his:1 dominant:1 above:2 notation:1 get:1 dependent:1 de:2 methodologies:1 tabulating:1 define:1 bean:1 state:9 during:1 dr:4 gen:1 alexander:1 produced:2 processes:1 henriques:3 tobacco:1 arxiv:1 expansions:3 multi:3 consisting:2 qa:2 network:1 xeon:1 tcm:65 activity:1 qi:8 qj:8 insightful:1 alanine:1 computed:1 achieved:2 frame:6 saddle:7 clebsch:1 relative:13 see:16 computer:14 sec:5 result:2 discussions:2 close:1 paul:1 goddard:1 unrelated:1 preparation:1 interacting:4 siam:1 inhibitors:1 atomistic:1 behind:1 determined:2 various:2 correctly:2 between:38 progress:1 approach:2 energetics:1 comparable:1 terms:4 reproduced:1 comp:2 interfaces:1 however:6 jr:1 efficiency:11 reproduces:1 opteron:1 highlight:1 analyzed:2 modeling:3 suggested:3 both:11 cos:1 folding:1 φr2:2 many:6 gratefully:1 3j1:1 according:3 sensitive:1 became:1 arginine:2 uni:1 multipoles:10 whole:3 pdb:3 otherwise:1 minima:1 baker:1 point:4 effective:1 asymptotically:1 harmonic:2 ce:12 khalili:1 viruses:1 decreases:2 applicability:1 dependance:1 respect:3 crystalline:1 expensive:1 amino:7 better:1 strong:1 described:2 mathur:1 second:3 ylm:6 arbitrary:1 three:1 been:9 implicit:1 commission:1 much:3 treat:1 interest:2 expected:1 flexible:1 ph:1 marx:1 systems:41 andrey:2 corresponding:6 sufficient:2 formed:1 body:1 cleave:1 buldyrev:1 neumann:1 systematic:1 graphics:1 last:1 denote:2 present:16 applied:4 intriguing:1 main:1 macromolecules:11 might:1 straight:1 expanded:3 compiling:1 evaluated:1 will:3 information:1 while:6 evaluating:1 error:15 eur:3 covalently:1 larger:4 engl:1 europhys:1 almost:2 vi:1 refs:1 birgeneau:1 thus:9 non:2 surface:21 iv:2 ii:2 reads:3 duan:1 sept:1 protein:6 interacts:1 id:1 ria:4 different:19 combination:1 etc:1 perform:2 suggest:2 juelich:1 lett:2 same:1 clearly:1 complex:11 positively:2 widely:1 largest:2 proved:1 several:5 grows:2 higher:6 independent:1 satellite:1 used:15 http:1 φr0:3 singapore:1 restraint:1 numerical:2 upon:2 mutual:1 amd:1 moment:1 compared:1 uses:1 purpose:2 potentials:2 angle:4 mcpherson:1 humphrey:1 expand:2 recent:1 relies:1 lower:2 kaneko:1 center:19 mention:1 charges:7 studies:1 underlies:1 natl:1 well:8 increases:1 analysis:3 without:1 inactive:1 severe:1 costs:3 acid:2 components:2 convenient:1 coordinate:6 organization:1 model:1 left:6 spherical:4 distances:6 pairs:2 just:1 less:11 moments:2 accurate:3 obtain:2 underlying:2 identify:1 atomic:2 world:1 protecting:1 alternative:1 previous:1 visualization:2 field:1 conclude:2 attractive:1 source:1 valid:1 transformed:1 board:3 hirschfelder:1 momentum:1 take:1 bio:1 around:2 demands:1 o:1 rna:2 possible:7 corresponds:4 describe:2 τl2:1 τl1:1 mol:1 macromolecular:9 using:6 bit:1 intersection:2 r0l:3 advanced:1 prominent:1 insect:2 necessary:1 like:1 particle:3 sizes:14 polymers:1 gibbon:2 follows:10 become:2 essential:2 acad:1 interconnecting:1 www:1 because:10 methods:8 classical:2 forschungszentrum:1 some:3 proportionally:1 nucleic:1 calculated:11 growth:1 cruz:1 table:1 process:2 library:2 happens:1 pronounced:1 scale:1 describing:3 zhou:1 pnas:1 yl1:3 buehler:1 critical:7 select:1 provides:5 assuming:1 s40:1 fragments:7 proc:1 demonstrated:2 core:1 package:2 scientific:2 power:4 seconds:2 journal:2 l1:27 lu:1 entry:1 expansion:24 khersonskii:1 boxes:2 although:4 takada:1 plots:1 prepared:1 properties:1 von:2 meyer:1 comparison:7 about:4 extension:1 algebraic:1 column:3 freedom:2 identification:1 basis:1 discussed:4 dependence:5 greater:1 simulation:1 deserves:2 carries:1 surfaces:3 wolf:1 inhibits:1 introduced:2 slightly:1 processor:2 computational:12 noting:1 into:6 within:29 due:3 nonperiodic:1 right:1 dipeptide:1 primarily:1 proportional:4 binding:1 next:1 nowadays:1 often:2 rows:1 van:1 her:1 assumed:2 there:1 fast:4 describes:5 low:1 lot:1 ed:1 xiao:1 slopes:1 analyze:1 was:13 chu:1 function:17 bolzmann:1 complete:2 form:3 energies:6 archetypal:1 phenomena:1 becoming:1 differences:1 but:3 sophisticated:1 hierarchical:1 rjb:4 ioffe:1 subdivision:1 eksp:2 capsid:1 partially:2 fragmentation:2 terminus:1 compute:1 algorithm:2 places:1 versions:1 arrays:1 characteristic:2 cells:2 up:3 us:4 work:3 placed:1 below:1 those:1 demonstrate:1 distribution:5 walter:1 similar:2 called:1 russian:2 mechanics:1 shih:2 acids:8 constant:1 directly:1 computing:8 defined:4 abstract:1 contribute:1 am:1 general:2 quantum:1 arises:3 simulations:5 accounting:6 allocating:1 formalism:3 distributions:5 compete:1 triangles:2 physical:1 functions:1 gordan:1 thermodynamical:1 na:12 nb:12 when:5 detail:3 members:1 application:1 other:4 details:2 papers:1 zam:1 yov:14 theor:2 conclusion:1 deviation:1 polar:3 stat:2 elsa:1 calculating:5 separate:3 symbol:1 berman:1 problems:1 bottom:1 includes:2 treatable:1 generated:1 important:7 enzyme:2 additionally:1 studied:1 yl2:4 song:1 quadrupole:2 structure:6 dimensions:1 ago:1 implies:2 faster:5 coulomb:20 requires:4 proposed:1 required:8 original:2 inset:3 inhibited:1 mass:3 fitted:1 time:38 frankfurt:4 cpu:1 stick:1 |
0704.1673.txt |@word consider:4 gp:2 global:3 gz:9 invent:1 gx:12 leads:1 obstruction:1 proposition:8 grateful:1 edu:1 consists:1 expressions:3 denotes:9 gh:2 compact:6 inverse:1 calculate:2 re:2 tu:2 critical:4 weyl:1 tk:1 th:2 under:2 analogous:1 must:1 ingredient:2 case:9 conjecture:2 g0:1 assuming:1 results:3 gover:1 condition:1 wa:1 ladders:1 school:1 presented:4 zeit:1 solution:4 trg:3 bxn:1 small:1 eigenvalues:1 υv:1 υq:1 specializes:1 computation:1 mason:1 renormalized:3 direct:1 sign:1 second:9 evaluated:1 22l:1 cft:2 odd:1 nbf:1 linear:1 even:12 gl:4 appear:4 section:2 while:1 3j:1 poles:1 establishes:1 new:1 coefficient:11 2kv:1 led:1 lee:1 degree:1 deduces:1 equals:2 here:1 desired:1 bj:2 groups:1 address:2 consideration:3 xζ:1 appears:1 change:2 obtained:2 remark:3 generalizing:1 δqk:2 p2:5 permutation:1 action:1 chang:1 makes:2 involves:4 uniquely:2 via:3 family:15 apr:1 fefferman:3 derivatives:5 use:1 andreas:7 eω:1 asymptotic:7 usa:1 cohomological:1 covariant:6 positive:1 suppl:1 next:1 definiteness:1 memory:1 taken:1 theoretical:1 more:1 linden:1 flat:13 formally:3 initiated:1 pff:6 operators:18 curvature:32 berlin:2 particular:2 insights:1 rin:1 vladimir:1 integrating:1 recall:1 equation:4 work:3 det:4 infinitesimal:3 obvious:1 den:1 following:1 making:1 trans:2 example:2 proof:10 beautiful:1 indicated:1 give:2 expanding:1 cited:1 arise:3 states:1 sense:3 sharp:1 influenced:1 respective:1 seattle:1 winter:1 discussion:1 holds:1 recovers:1 write:2 how:1 nontrivial:1 parameter:5 npn:1 mat:1 may:2 signature:3 dx2:2 factored:1 produce:1 fh:2 law:2 data:1 natural:10 dynamical:1 effective:1 ss:4 grant:1 explicit:2 element:1 diffeomorphism:1 green:3 fundamental:1 order:13 duke:1 indeed:1 over:2 paper:6 through:4 2v:1 committee:1 hypersurface:1 mentioned:1 existence:4 satisfies:3 its:11 derive:2 inward:1 fix:1 solving:2 forms:2 ǫ2k:4 choose:2 derivative:1 gilkey:1 defining:2 into:1 correspondence:2 non:1 combination:1 washington:2 inductively:2 cek:1 now:4 transparent:1 easily:3 term:24 holographic:10 2p:2 2q:1 always:1 university:1 identified:1 universita:1 juhl:9 each:2 2l:11 references:2 2n:2 side:9 2j:3 2k:76 homogeneous:1 arxiv:1 series:1 related:2 24j:1 elementary:1 ball:1 obtains:1 combining:1 separating:1 our:7 special:1 fu:1 shown:3 matrix:2 restricted:1 since:4 research:1 replacing:1 contained:1 formula:16 returning:1 induced:1 evaluation:2 occurs:2 math:13 shows:1 8j:1 theory:5 divergence:8 differ:1 difficulty:1 institut:1 8p:1 ri1:1 beginning:1 interaction:1 derivation:1 geometry:6 wijkl:1 conformally:24 δ2l:2 invitation:1 hence:1 first:5 origin:1 initial:1 xn:26 humboldt:1 number:1 thereof:1 multiplication:1 holography:1 another:2 impossible:1 precisely:1 open:1 equating:1 1p:1 given:12 checked:1 rewritten:1 similarly:1 introduction:2 leading:2 adjoint:2 relations:2 their:3 manifolds:2 observations:1 calculations:1 convention:1 dfg:1 gives:13 terminates:1 tom:2 solodukhin:1 j1:1 part:3 j2:3 somewhat:1 authors:1 x2:8 x0:10 coefficients:7 automorphic:1 characterizations:1 namely:1 limiting:1 preparation:2 determined:6 powers:2 renormalizations:1 tractor:3 gathering:1 sees:1 rend:1 remained:1 argument:1 generalization:1 endomorphism:1 orders:2 constructions:1 depending:2 efficient:1 self:1 converges:1 note:1 contact:1 take:3 forces:1 so:10 calculus:2 residue:7 multiple:3 trace:1 normal:3 object:1 birkh:1 metrics:7 most:2 involving:4 comparing:2 formulae:2 analytically:1 sfb:1 zworski:1 xµ:1 kl:1 yang:1 physics:2 sum:1 fact:2 quantity:3 particularly:1 ncn:1 show:2 supported:2 purely:1 relation:3 pkj:2 substituting:2 analogue:1 trivial:1 find:1 principal:2 boundaries:1 explain:1 assertion:1 should:1 only:6 explicitly:2 x4:1 factor:2 constant:5 local:4 ǫi1:2 dn:3 his:1 above:5 notation:2 dg:3 de:1 preferred:1 dx:1 probably:1 viaclovsky:1 ds:2 differentiating:2 differential:9 expansions:3 hyperbolic:3 london:1 qk:2 riemannian:1 ence:1 requirement:1 set:6 modulo:1 ser:1 exists:3 variations:1 fg1:11 fg2:2 relative:4 see:7 result:4 2kp:2 normalizing:1 branson:4 peterson:1 subject:1 satisfying:3 tensor:4 uλ:14 definite:1 e2ω:2 symmetric:2 written:1 identification:1 correctly:1 between:1 invariant:5 boundary:3 across:1 meromorphic:1 terms:6 extend:1 complementary:1 p2l:7 however:5 p2k:21 realization:1 jn:3 x2λ:1 comm:1 come:1 tensors:1 σk:4 both:4 last:1 σn:1 x2k:1 xλ:2 taking:2 equal:1 involve:1 context:2 passing:1 mean:2 expression:1 finds:3 cn:4 characterization:3 simple:2 continuation:1 asymptotically:3 harmonic:4 dimensional:3 pole:1 pik:2 polynomial:3 respect:5 zeta:1 16p:1 described:1 geometries:1 addition:1 locally:2 been:1 much:1 combined:1 pj:1 pi:5 pn:28 define:3 cx0:2 box:1 determinant:2 aj:2 families:5 x2l:1 concerning:1 covariance:1 nres:5 recalled:1 6v:1 mail:2 denote:2 those:1 applied:4 p0:2 p4:2 invariants:1 µj1:1 value:1 will:3 rationally:2 near:3 suppose:1 behavior:1 property:1 conformal:15 robin:8 coupled:1 inequalities:1 metric:35 thus:3 dedicate:1 ii:2 reads:1 ij:7 rij:1 ambient:6 limit:2 vanish:1 ric:2 author:2 distributions:1 make:1 unter:1 lett:3 same:6 poincar:16 finite:1 independent:2 used:3 infinity:2 i2:1 hand:8 moving:2 auser:1 invariance:1 cr:1 identity:11 prescribed:1 off:2 kleinian:1 ingredients:1 without:1 solve:2 coordinate:1 arising:1 dimension:2 left:3 manifold:3 invariantly:1 obtain:1 λf:2 scattering:5 adv:1 rijkl:1 ads:2 regarded:1 conclude:1 seems:1 discuss:2 cc:1 other:3 transformed:1 choice:2 theorem:11 mod:2 transformation:2 d2l:2 bij:3 eigenfunction:2 depends:3 eigenvalue:1 res0:1 possible:1 background:1 using:9 ams:2 unique:2 formal:4 palermo:1 appearing:3 follows:6 specific:1 yields:1 b472:1 arbitrary:2 expresses:2 pointwise:1 therein:1 right:5 lectures:1 sparling:1 some:5 nonetheless:1 moreover:1 curious:1 dvh:1 organizing:1 δn:5 dimensions:2 irma:1 integration:1 circ:1 does:1 decomposition:2 provides:1 tends:1 prog:1 refer:2 expansion:27 gjms:4 2m:3 raum:1 refers:1 rearranging:1 chapter:1 about:2 qing:1 extension:1 srn:1 o:19 bgp:2 remains:1 2cn:4 regular:2 greatly:1 introduced:1 consequently:1 book:1 considerations:1 soc:1 own:1 22k:1 h0:1 integral:2 functional:1 nsf:1 because:3 sou:1 laplacian:2 einstein:7 operator:12 wλ:13 hep:1 log:12 few:1 support:2 there:3 restricts:2 way:1 was:8 gij:2 function:10 hx:2 form:20 regard:1 but:6 hu:1 volume:10 construction:6 dvi:1 line:2 true:1 partially:1 made:1 applying:1 evident:1 smooth:5 up:2 below:2 dms:1 simplifying:1 problem:2 ǫn:3 pij:3 taylor:3 associated:4 defined:2 likewise:1 describe:2 proven:1 general:3 µi1:2 quantum:1 proves:1 dλ:1 corresponding:3 graham:14 dα:2 again:1 functions:4 materie:1 no:4 mathematik:1 whereas:1 when:2 pfaffian:4 ng:2 application:1 interested:2 statement:2 details:6 papers:1 department:1 mathematics:3 nv:1 conclusion:2 area:1 expressible:1 resembles:1 variation:3 a0:1 sides:2 skenderis:1 implies:2 anomalous:1 assume:1 values:1 dvg:31 dσ:5 4p:1 4l:1 weights:1 dot:1 volumes:1 res:4 n0:3 eυ:1 |
0704.1674.txt |@word limited:4 similarity:4 four:5 ψ1i:3 rˆ:5 woods:1 parameterization:7 ψ1a:2 ψ1b:2 localized:1 poorly:3 whose:5 ℜz:1 under:2 every:1 affect:1 fractal:2 dominate:3 solution:5 vector:17 q1a:1 q1b:1 consistent:9 estimates:9 direct:4 approximation:4 surrounding:1 second:15 tildes:2 estimated:7 even:5 established:1 errors:3 consequent:1 multinucleon:1 above:6 new:9 increasing:4 consisting:2 coefficient:4 reliably:1 hera:1 formats:1 reported:1 mev:3 china:1 represented:5 path:4 interpret:1 contraction:6 obtained:13 nitude:1 study:12 brodsky:1 fourier:45 spacetime:1 projection:13 gluons:1 highly:1 brought:2 achievable:1 total:13 univ:1 unit:9 plot:5 charge:1 would:2 negative:1 therefore:16 m2:11 type:1 until:1 bevalac:10 fractions:2 composite:3 curvature:1 stochastic:4 p4t:8 must:13 ma:3 mb:3 mo:1 work:2 mi:2 resents:1 itself:3 mφi:9 root:3 example:3 sinusoidal:11 impose:1 indicated:2 give:1 relativistic:3 cited:1 indicates:5 want:2 magnitudes:2 end:3 provide:13 feature:2 sollfrank:1 how:8 nontrivial:2 instrum:1 symposium:1 ordinary:2 danielewicz:2 mueller:2 description:15 transforming:1 thermodynamic:3 after:5 minimized:1 wrong:1 summarize:1 law:3 meaningful:1 parallel:1 attempt:4 third:2 acknowledged:1 summing:2 encompassing:1 complexity:1 maintain:2 algorithms:1 correlation:41 ostrovsky:2 order:4 triggering:1 interpretation:6 office:1 cumulant:3 over:38 satisfied:1 london:1 experimentally:1 satisfies:1 before:2 manageable:2 fit:21 expectations:4 exhibits:1 production:2 harmonics:12 them:2 combination:5 safe:1 effects:4 they:5 represents:19 l37:1 filling:1 reasonable:1 each:20 side:6 mean:29 schemes:2 suspended:3 series:17 displacement:4 used:11 combining:4 extract:3 rt:4 octupole:1 rp:17 restricted:3 ry:1 particles:22 re:1 multiply:1 ra:1 newly:1 ri:26 rj:7 mφ:33 linear:12 midpoint:1 little:4 free:4 standard:5 admits:1 estimate:7 incorporates:1 r2:27 incorporated:1 corrections:4 uses:1 generalizations:1 already:2 primary:1 rank:7 featured:1 nonperturbative:1 another:3 force:1 illustrate:2 cartesian:2 similarly:3 tor:1 eqs:1 minijet:22 john:1 discussion:1 2ab:1 q1i:2 tool:2 past:2 target:1 showed:1 approximations:3 likely:1 project:1 matter:11 classes:1 tion:2 contrasted:1 solely:1 mini:2 sees:1 rewrite:1 quench:4 spectrum:26 manner:1 seen:6 seek:2 contents:2 implemented:1 latter:5 responsible:1 isolated:4 fitting:6 correlating:2 circles:1 though:2 denominator:1 accurately:7 extending:1 boltzmann:1 involving:2 claims:1 phase:2 manifested:3 don:1 treats:2 incomplete:1 calculated:2 partition:8 flow:179 inferred:5 doe:1 pseudorapidity:3 points:2 nineteenth:1 section:12 fitted:2 dover:2 random:60 implying:3 attempts:3 d8:1 d9:1 d6:1 d7:1 d4:3 d5:1 d2:3 d3:2 d1:1 partonic:4 just:1 ellipsoid:1 ment:1 guidance:1 topological:1 sˆ:1 theme:2 adequate:2 dn:3 do:8 reconstruction:1 wide:1 df:1 dφ1:1 de:1 fluid:4 criticized:1 dx:2 dy:1 reviewed:2 dp:1 chronological:1 fields:3 nucleusnucleus:1 bab:1 ponents:1 distortions:5 reference:36 peripheral:23 kolmogorov:2 observed:5 decided:1 result:15 optimum:1 best:3 techniques:9 said:12 tensor:17 away:1 artificial:1 symmetric:2 drawn:1 previous:6 approach:7 terms:19 extend:1 nature:2 wl:1 wk:3 however:14 wi:20 extent:4 modeling:1 topology:2 suggested:1 prindle:3 cos:106 accident:1 odyniec:1 met:1 uncertainty:3 cylindrical:18 variance:9 contribution:5 adapted:1 reprinted:1 con:1 khintchine:6 δt2:2 decoupling:2 basis:5 three:7 been:13 extraction:1 much:4 interest:3 basic:6 expected:3 ann:2 derives:1 θi:3 quantities:12 applied:11 nski:1 employ:2 near:6 viii:1 property:1 elaborate:1 procedure:4 ix:1 provocative:1 tions:1 iv:1 ii:7 characterize:2 cone:2 conf:1 seattle:1 containing:2 perform:1 suggest:2 make:8 complex:14 several:10 grows:1 independent:13 monotonic:2 hydrodynamics:4 opportunity:1 minimally:10 rescatterings:2 scenario:6 changes:1 academic:1 simulated:2 echoes:1 jean:1 left:32 proposed:8 rotated:3 dφ2:1 assigned:3 proposes:1 bandwidth:1 identify:2 transforms:4 tilde:2 scattering:1 divide:2 decomposing:1 regarded:1 character:1 ideal:3 spread:1 transformed:1 projects:1 easy:1 hat:1 bands:1 possible:11 possibly:3 background:1 unique:3 advanced:1 disadvantage:1 appearing:1 workshop:1 orlando:1 unnecessary:1 steps:4 arbitrary:11 right:41 deal:1 resonances:1 begin:1 statistic:2 indirect:1 rapidity:15 separately:1 proceeding:1 bottom:1 quarks:1 linearly:1 bains:1 leonidov:2 particular:2 minimization:1 oscillating:1 translated:2 plm:1 permitted:1 pli:1 limitation:1 collectivity:4 increasingly:1 numerator:3 misleading:5 plus:2 efforts:1 slightly:1 automatically:1 presence:6 obtaining:1 son:1 down:9 lies:4 raises:1 methods:22 compression:1 initial:13 approximate:4 class:1 width:1 physicists:1 way:4 astrophysics:2 rela:1 was:27 lowest:2 medium:9 singleparticle:5 form:13 forming:1 qcd:9 removes:2 failure:1 hemisphere:1 true:16 absent:1 ψa:1 maximum:4 mth:3 stages:1 b1:1 separated:2 adopt:1 minijets:33 improper:3 evidence:8 exist:1 simulations:1 dη:9 distributions:14 physical:13 dotted:11 no:27 na:12 whereas:14 generally:4 reality:2 unambiguously:2 role:5 papers:6 test:3 nq:6 nr:1 nv:1 picture:2 reconsider:1 superposition:5 delivered:1 initio:1 describe:7 variable:7 cooper:1 source:7 factorized:2 dω:4 dφ:9 interval:11 time:14 implementation:1 nuclei:1 backward:1 precise:10 concept:7 chain:2 global:4 brownian:25 focus:1 leads:1 primes:1 certainly:2 inverse:3 depend:1 technique:4 finally:2 compensate:1 elliptic:9 cumulants:4 analogous:2 division:1 string:1 advantage:1 zhang:1 frequencies:1 choice:1 bjorken:1 orientations:1 entries:1 emphasized:1 exact:5 notations:1 perceived:1 presented:3 fragile:1 discrete:8 speculation:1 upper:21 heinz:1 trend:16 dealing:1 nδt:2 sign:1 dnch:6 substitute:1 appear:3 xσ:1 axes:6 uniform:7 current:1 plitude:1 goes:1 international:1 falling:1 principal:2 satisfy:4 nominally:5 knudson:1 multipole:25 mr:1 understanding:3 cos2:15 groups:1 alone:1 along:4 change:4 studied:3 commonly:2 accomplished:1 poisson:3 resonance:1 studies:6 plotted:6 emerge:1 tasks:1 useful:1 overarching:1 2φj:1 quenching:1 prove:1 positive:1 predictions:2 centrality:55 opposed:3 memory:1 theoretical:3 partons:4 apparent:5 distribution:49 validity:1 appendix:5 far:1 cases:5 insights:1 parameterize:1 collision:31 local:1 glauber:4 bertoin:1 values:8 cal:1 following:6 trans:1 figure:3 sps:8 kharzeev:1 sample:5 vx:2 performed:1 unanticipated:2 confuses:1 conversely:1 sphere:5 s1:1 chemical:2 ylab:9 parameter:15 displacements:3 product:6 may:27 dx4:1 applications:2 produce:3 designed:2 r2y:1 r2x:1 date:1 data:21 natural:1 dynamical:2 joint:18 st:2 inform:2 sh:2 so:9 sn:1 representation:11 se:1 typical:3 ρref:33 wavelengths:1 submatrices:1 nucleon:7 constituents:2 mainly:7 unacceptable:1 copious:1 experiments:1 statistical:49 cuts:1 still:3 voloshin:4 interesting:4 methodology:1 decreases:1 forms:3 decreased:1 main:3 decades:1 coincidental:1 correspondence:7 non:12 thereby:4 impulses:1 processes:4 introduce:2 scaling:1 half:2 now:9 hall:1 maintaining:1 term:37 establishing:1 orthonormal:1 quarter:1 locate:1 proximation:1 square:6 ei:1 ed:3 gaussian:3 challenges:1 wavelength:1 approximated:1 eq:31 ep:41 shown:7 jackson:1 3rd:2 space:28 v02:1 squared:2 cancels:1 increase:7 collisions:110 contained:1 nominal:1 gaussians:1 ble:1 squares:1 correct:3 shows:5 theory:11 million:1 mechanisms:3 possibility:4 quite:3 unwanted:1 inevitable:2 language:3 widths:1 transition:3 motion:32 first:25 origin:5 xi:2 symmetry:3 xm:1 omitted:3 variables:34 xd:2 transform:14 xy:3 simplified:3 long:2 directly:6 xs:2 open:3 angular:59 size:6 given:12 necessarily:1 structured:1 fm:3 indicate:5 returns:1 1d:21 convention:2 1i:1 white:7 structures:5 gives:6 excellent:2 gyulassy:1 fraction:3 asymmetric:2 continuous:2 eliminates:2 transverse:14 x2:6 eliminated:2 x1:5 representing:7 than:7 coefficients:8 connections:2 spawning:1 unfortunately:1 require:5 fm2:1 vmi:2 were:2 outcome:1 questionable:1 eliminating:1 correction:4 argument:3 generalization:1 dash:2 distorted:3 any:11 offering:1 efficient:3 isolate:1 aside:3 note:8 emphasis:1 potential:3 insuring:1 ironically:2 differences:6 multiple:4 investigations:1 algebraic:3 satisfying:1 successive:1 reducible:1 especially:10 31st:1 considered:2 average:10 later:4 typically:9 quantity:13 slope:2 show:16 discovered:1 spaces:1 inconsistent:3 decompositions:2 ptj:7 ground:1 ratio:9 behind:1 only:12 explicitly:1 nyquist:2 legendre:1 gev:29 lighten:1 expectation:4 nearly:4 2mn:1 prentice:1 reveal:7 thermal:3 yield:1 summary:3 predicted:2 sep:1 ence:1 physically:4 relative:21 corre:1 uncorrelated:10 concern:1 fails:1 detect:1 parent:7 ways:5 review:8 definite:1 label:1 enough:1 between:29 justified:2 across:1 multiplied:1 vertical:1 jets:6 suppressed:1 factorization:1 motivations:1 reaction:21 panels:11 σn:3 efficiency:1 many:10 region:7 according:7 dated:1 multipoles:25 expression:5 comes:1 among:6 characterization:2 sixth:1 sampling:2 analyzed:1 maintained:1 cancel:1 associated:10 considers:1 pqcd:1 combines:1 locally:2 markedly:1 cosine:1 combined:5 fig:45 v22:6 direction:1 formed:1 observe:3 external:1 careful:4 irrelevant:3 those:12 case:22 variances:2 engineering:1 premature:1 invoking:1 situation:1 orientation:1 borghini:4 ym:1 bias:35 converts:1 motivated:1 movements:1 binary:1 different:16 develop:3 pay:1 formulations:1 same:18 poskanzer:3 manifestations:2 arguments:4 constructed:3 events:12 erence:1 running:1 invariance:4 eti:1 nn:1 largely:1 roughly:2 without:9 solve:1 components:8 coordinate:1 model:42 nb:6 charged:1 being:2 when:9 distinguishing:1 manipulation:2 tukey:1 aspect:1 flavor:1 speed:9 sampled:1 application:1 seems:2 except:1 confirmed:2 tio:1 treatment:4 samples:7 prominently:1 extensive:2 momentum:17 real:7 σn2:4 thermalized:7 sums:1 admitting:1 harmonic:7 early:7 using:12 adams:5 particle:98 identifying:1 collective:33 either:5 integrals:5 always:1 stationary:1 reduced:5 twelve:1 reveals:2 kolb:1 nonzero:2 factorizable:1 slice:1 dimensions:1 footing:1 langevin:2 extensively:2 models:2 critical:7 decomposition:7 expressing:1 y21:3 y22:1 bessel:1 porter:2 refer:3 measuring:2 biased:20 accessing:1 contingent:1 power:36 retains:2 equivalent:9 biases:5 ratios:8 francis:1 hadron:5 comparison:10 central:26 y2m:3 origins:1 discussed:7 practical:1 mutually:1 estimator:4 greatly:2 mixed:2 cambridge:1 fertile:1 ηb:2 ηa:2 unbounded:1 numerically:1 references:3 determine:7 einstein:15 elementary:5 accumulated:1 hep:4 area:6 assumed:4 there:29 stark:1 ordinate:2 strict:1 encounters:2 low:10 stars:1 lished:1 assumes:1 complete:4 jun:1 jul:1 auau:2 adler:1 longer:1 qualitative:1 multiplicity:31 systematics:2 quantitatively:2 ωi:2 assume:6 isolating:1 obtains:1 strongly:8 ab:1 certain:1 ℑz:1 am:1 strips:1 general:11 rvs:2 examine:1 arises:2 au:34 formulation:2 controlled:1 incorrect:4 again:3 stationarity:4 separating:4 hybrid:2 remarks:1 spatial:2 mathematics:6 poor:1 perpendicular:1 equitably:1 separate:2 drift:6 includes:3 a1:7 important:15 bounded:5 peak:6 suited:1 included:3 n2:13 partitioned:2 ags:4 owczy:1 curve:29 δx:1 mimic:1 c8:1 mass:1 starting:3 represent:6 ptk:4 consider:15 pti:16 suggests:1 scalar:5 follow:2 expressions:1 content:1 schiff:1 extraneous:2 program:2 c5:1 dominated:10 amplitudes:8 lations:1 very:5 results:26 ical:1 interpreting:1 fall:1 difference:29 condition:2 evaluation:2 applicable:2 large:18 small:26 portable:1 periodicity:1 abstracted:1 sinusoid:8 qmi:3 intricate:1 zero:7 invention:1 design:2 perspective:1 qma:4 further:3 what:9 nonlinear:2 brackets:1 sum:9 version:2 inferences:2 subspaces:1 fractional:1 method:31 contrast:13 movement:1 compresses:1 full:12 component:20 dimensionality:1 operating:1 compressed:2 excess:1 strong:2 equations:1 arena:1 search:4 antisymmetric:1 prior:1 periodic:3 published:1 narrow:2 elongated:1 uniquely:1 via:2 vii:4 establish:2 ψb:1 conventional:89 ψr:54 contains:5 quasi:5 comparing:4 nucl:5 ψm:42 taken:1 nonstochastic:1 markets:1 more:20 exhibiting:2 corrected:6 emission:1 tested:2 varying:5 known:2 science:1 equation:4 remain:2 examined:1 nine:1 strategies:4 history:2 compare:7 stated:5 abandonment:1 unbiased:10 minimum:6 numbers:4 sense:6 exclude:1 axis:10 information:5 goal:5 rather:1 ollitrault:4 stemming:1 distri:1 ensemble:32 simplicity:4 ft:6 algebra:8 perrin:4 wiley:1 derived:11 unsubtracted:1 plane:42 guesswork:2 fh:1 participant:8 geometrical:1 fl:1 response:6 onto:9 spectra:8 departure:1 negligible:2 spheric:1 fundamental:1 playing:1 ceres:2 baier:1 ith:2 developed:5 distortion:5 wiener:8 paper:22 through:3 ity:1 existence:3 kinetic:4 its:19 roots:2 jacobs:1 rapidly:4 termed:5 energies:16 actually:2 late:1 detected:2 systems:6 might:2 deformation:1 finer:2 yi:2 good:6 return:3 yl:1 autocorrelations:34 cen:1 anticipated:1 framework:1 yz:1 thereof:1 misuse:1 nucleus:4 easily:4 2q:2 2r:1 2s:5 fully:1 level:7 2x:1 ify:1 infer:1 2d:50 knight:1 2l:4 2m:14 2n:4 referred:4 heavy:13 quadrupole:30 dichotomy:1 hadronic:3 energy:10 reduce:7 connect:1 measurement:16 quantum:2 beyond:2 event:109 fts:1 dominates:1 since:8 denotes:3 participants:1 sustain:1 denoted:2 issue:6 plotting:3 offsets:1 pub:1 reason:1 ask:2 rises:1 generate:1 definition:14 pairs:21 ion:13 persists:2 american:1 hadrons:3 major:7 probability:4 relate:2 number:31 dinh:3 dominating:1 construct:2 histogrammed:1 passes:1 differ:1 temperature:2 jet:7 introduction:1 leading:1 least:3 obtainable:1 assumption:6 scheme:1 discover:1 nch:5 part:11 peaked:2 kind:1 molecular:3 critically:1 aab:1 determined:10 toward:1 treated:2 vx2:2 electrodynamics:1 randomly:2 substantial:3 elsevier:1 null:1 dη2:1 dη1:1 depending:3 self:15 npart:17 onset:1 extracted:2 entirety:1 analogy:9 extrapolating:1 analogs:2 play:2 added:2 electric:2 rhs:2 measures:22 most:10 significant:4 comparisons:2 colliding:1 measured:9 deviations:2 tpc:1 windows:1 clear:4 sometimes:2 cover:1 kn:1 dimension:4 optical:1 exp:11 azimuth:81 physics:11 ambiguities:1 thomas:1 particularly:1 phenomenon:5 v12:9 2dτ:1 multiplicities:29 relation:24 carefully:2 find:4 impact:6 indicator:1 parameters:15 distributed:1 failed:3 factor:10 circle:1 ultrarelativistic:1 diffusion:6 dominant:2 invoke:1 gazdzicki:1 dependent:8 pions:2 closely:4 combinations:2 during:3 reprint:1 resolve:1 continuum:4 arxiv:1 remove:2 common:7 set:6 ser:1 achieved:1 see:2 individual:2 sec:9 descriptions:1 close:3 paul:1 currently:1 dipole:2 halves:1 various:5 conditions:1 available:1 statistically:3 complementary:3 initially:1 attention:2 premise:3 distinguish:8 partitioning:2 both:7 collaborators:1 last:2 reverse:1 powers:1 density:39 sensitive:2 connection:4 became:1 context:24 experimental:2 point:10 simple:13 corresponds:1 coincidence:1 dimensional:5 simply:10 rab:4 throughout:1 suppressing:1 described:16 pt:29 thermodynamics:2 gravity:1 px:16 acceptance:22 due:9 strategy:3 reduction:1 describes:3 azimuthal:1 collected:1 ph:4 pi:5 pl:2 lett:7 interparticle:1 generating:1 versa:1 covariance:10 determination:12 compromised:1 systematic:16 despite:1 developments:1 equilibration:3 detec:1 p2:9 p1:2 uncertain:1 pacs:1 solid:20 reliable:1 expanded:1 evaluated:1 while:1 replaced:1 behavior:4 error:14 vectors:7 century:4 averaging:13 overlooked:1 tests:2 encountered:2 obstacle:1 increased:1 grant:1 wherein:1 read:1 emphasize:1 resulting:9 composition:1 conflict:1 higher:4 development:1 literature:2 comprehensive:3 ri2:3 flows:13 moment:6 implicitely:1 purpose:2 necessity:1 hbt:1 aggregate:1 recent:1 lower:21 analysis:127 consistency:1 chemistry:1 things:1 δψr:1 ldl:10 shape:4 intervals:1 notional:4 questions:1 regardless:1 alternative:4 nardi:1 liu:1 alternate:1 signals:1 apr:1 location:1 theorem:8 relevance:2 input:8 remaining:2 bin:17 format:2 showing:1 appendices:1 emergence:1 rhic:20 formal:3 imposed:2 lost:1 systematically:1 follows:5 signal:8 shapes:3 communications:1 yields:2 popular:1 essential:3 terminology:5 mathematical:9 often:4 some:24 understood:2 trends:12 b0:4 examples:5 anisotropies:1 pronounced:1 scale:8 describing:4 affects:1 measurements:21 integration:1 per:20 behave:1 connecting:1 eliminate:3 fragments:3 minimal:3 inserting:1 object:3 bc:1 processing:1 agreement:4 step:3 reduces:1 become:1 relating:1 subtract:2 simplify:1 coexist:1 simulation:5 deserves:1 range:8 hatched:2 ylm:14 block:1 omitting:1 into:12 within:13 integral:6 appropriate:10 parton:12 france:1 uncertainties:1 statistics:5 question:4 specifically:1 borel:1 forward:2 analyze:1 δll:1 arise:2 great:1 criteria:2 properly:2 delta:2 unequal:1 line:8 σpt:3 observation:7 directed:6 persisting:1 intuitive:2 characteristic:2 up:1 boldface:1 autocorrelation:74 fluctuations:14 similar:7 called:5 constant:4 oddity:1 defined:21 coincides:1 influence:1 globally:1 single:17 nbin:1 formalism:1 defines:4 dashed:17 invalid:1 grouped:1 priori:2 elements:19 conventionally:7 provided:2 prepared:1 generated:1 structure:77 correlated:5 implies:2 vice:1 thermalization:18 required:5 speculations:1 equivalently:1 weights:8 dot:3 broad:3 walker:14 requires:5 having:1 wi2:2 nonflow:59 illustrates:1 recorded:1 gz:1 existing:2 illustrated:1 ga:1 go:1 contributions:9 centers:2 issues:4 zdzicki:1 longstanding:1 deterministic:5 pˆt:1 excluded:4 blackman:1 suite:1 include:8 dramatically:1 indicating:1 probe:3 provides:9 implicitly:1 continues:1 wave:3 sensitivity:1 wa:1 severely:2 positions:1 evy:4 noted:2 limitations:1 smaller:6 sin2:8 imply:3 dynamics:11 scientific:1 index:4 plays:1 rate:4 3s:2 expressed:3 access:3 consistently:2 experiment:1 poles:2 flowing:1 expresses:1 exercise:10 3d:4 body:1 led:1 degree:5 respectively:1 spacing:1 lep:1 desired:1 explore:1 sinm:1 separation:9 consideration:1 extrema:1 implicit:1 convert:2 larger:7 contradiction:1 sphericity:23 products:2 makes:3 formulated:2 becattini:1 kinematically:1 app:21 expect:1 pxi:1 names:1 summation:1 redefining:1 manipulate:1 use:8 asymptotic:2 next:2 few:7 pathlength:2 simpler:1 reflects:1 hydro:19 sons:1 formally:3 becomes:2 normalized:11 eccentricity:7 iii:2 hints:1 ρa:31 topic:1 munzinger:1 integrating:2 averaged:15 ρm:1 obvious:3 drops:1 averages:7 control:1 process:6 inaccessible:1 high:3 assumptions:7 sought:4 triangle:3 notation:13 six:1 regions:1 subevent:14 pair:30 instead:4 sin:26 stock:3 factored:1 demonstrating:1 fits:9 efficiently:1 ambiguous:1 realized:2 spherically:1 lines:4 correspond:1 element:8 asserts:1 divided:4 bins:23 ackermann:1 produces:1 move:1 vmb:1 interpreted:2 symbols:1 including:7 write:4 longitudinal:3 zˆ:1 lm:6 varies:2 qgp:1 estimating:1 degrees:2 tstart:1 clusters:3 defining:5 eur:3 material:1 pearson:3 subtraction:1 vm2:20 february:1 dirac:1 braun:1 university:1 identified:1 sufficiently:2 magnitude:7 constraints:3 levy:1 related:14 speculated:1 frequency:7 interplay:1 measure:43 multiparticle:6 relates:2 meth:1 transitions:3 special:4 out:2 rep:2 rev:13 mφ1:4 mφ2:4 asymmetries:1 ref:28 integrated:3 math:1 proviso:1 ecm:1 diagonal:6 centralities:1 threedimensional:1 york:4 interaction:1 segregated:1 lone:1 geometry:10 determining:2 could:3 david:2 qref:4 length:4 mab:5 isotropic:1 projectile:1 hence:2 repeats:1 facilitate:3 deviates:1 powerful:3 unsupported:1 intuitively:1 precisely:1 revealed:5 histograms:1 system:21 relations:2 their:8 intermediate:1 perfectly:3 final:9 exactly:4 manifestation:1 distinction:2 rected:1 isolation:1 limiting:5 electrostatic:1 amplitude:9 ber:1 providing:1 distinguished:3 projections:4 false:2 fluctuation:4 curves:14 factorizations:2 disjoint:2 demonstration:1 clearly:2 angle:22 directivity:9 mid:5 mechanism:5 instance:4 concerns:4 incorporating:1 detector:4 subject:6 accuracy:5 collaboration:8 mimics:1 connected:1 overlapping:1 definitions:1 histogram:2 why:2 subtracted:3 consequences:1 frederick:1 δmm:1 construction:2 talk:1 fact:3 ond:1 selection:2 supported:1 agrees:1 decade:1 subtracting:3 q1:10 partners:1 q2:6 based:24 commutators:1 hydrodynamically:1 should:19 molecules:4 indeed:2 employed:3 he:1 tude:1 achieve:1 equilibrium:2 crosstalk:1 means:4 familiar:2 overall:2 beam:2 invoked:1 vma:9 binnings:1 produced:2 evolution:3 densities:5 qx:1 differential:4 whether:3 hydrodynamic:9 contain:3 qk:1 fixed:5 qm:26 traceless:1 view:1 requirement:2 multiplying:1 modulo:1 variations:4 correlations:58 edition:2 p22:2 exper:1 dyadic:3 imposition:1 nuclear:20 tend:1 state:12 identification:1 correctly:1 masking:1 tens:1 invariant:2 quasirandom:1 comparable:4 ability:1 superior:1 importance:2 p2i:2 wj:8 p2t:25 hypothesis:2 key:4 kex:1 configuration:5 p2y:3 p2x:14 observable:1 interpretations:2 limits:1 norbert:1 equal:7 attributed:5 etc:2 eta:1 figures:1 estimation:12 jersey:1 detailed:3 relevant:6 co:2 cm:2 conclude:1 cf:18 walk:7 taylor:2 respect:2 kinematic:5 addition:1 trajectory:8 responds:1 slowly:1 treat:2 proposal:1 improve:1 define:3 adopted:1 corresponding:10 subspace:1 essentially:1 binning:4 bulk:1 c9:1 cor:1 angles:1 c3:1 c2:3 c1:1 c7:1 c6:1 present:3 c4:1 multi:1 contexts:2 need:2 value:3 choices:1 will:2 ultra:2 les:1 almost:4 vi:1 walks:2 thus:15 vm:43 vs:14 properties:7 claimed:1 cross:11 unity:1 parts:3 largest:1 φi:24 φj:9 finite:12 φl:2 twelfth:1 difficult:1 conceived:1 effect:6 v0:2 v1:2 v2:40 hijing:3 infinite:3 frequently:1 g2:3 insure:2 correspondent:1 off:3 center:2 com:1 modeled:4 well:5 position:4 arising:1 drawing:1 usual:1 spherical:18 less:1 moments:16 accurate:7 obtain:19 sources:6 underlying:3 predicts:1 momenta:1 macroscopic:3 arfken:1 bution:1 reasons:1 add:1 nato:1 nor:1 c11:1 c10:1 identical:3 saturation:1 definitive:1 masquerade:1 ampli:1 parameterizations:1 inversion:1 increases:2 five:3 press:2 immediately:1 loss:3 necessary:3 like:1 excluding:1 alternatively:1 δt:5 loses:1 δn:3 powerspectrum:1 leaves:1 nucleons:5 accessible:3 deviation:1 because:16 classical:3 sequence:1 phenomena:13 q20:1 q21:6 q22:3 proper:7 lead:1 unpredictable:1 demonstrates:4 avoid:1 overlap:1 does:7 dipoles:1 assuming:4 capability:1 demonstrated:4 hinder:1 noise:11 2q2:1 obey:1 q2m:14 expansion:3 pressure:6 although:1 worthy:1 hwa:1 panel:60 about:12 actual:1 freedom:1 dependence:30 hot:1 a2:1 subevents:18 introduced:8 strangeness:1 washington:1 functional:1 weighted:7 estimators:1 correla:1 ridge:1 additional:1 trigger:1 function:13 insures:1 triangular:1 but:22 approximates:1 volume:1 neutral:2 hi:3 contradictory:1 fg03:1 ρj:2 partially:1 fragmentation:10 made:1 wise:49 evident:1 sinusoids:12 smooth:1 placed:1 trainor:7 limit:13 demonstrate:2 problem:12 mechanics:1 inadequate:1 universal:1 contribute:1 pid:1 denote:2 sibling:1 our:6 heiselberg:2 proceeds:1 inc:1 functions:7 compared:8 percent:4 detail:1 other:20 midrapidity:2 conclusion:1 stat:1 star:9 variation:1 precision:2 resolution:27 factors:1 covariances:10 a661:1 stachel:1 4d:4 integrates:1 representative:1 |
0704.1675.txt |@word represent:2 semantic:15 consider:1 similarity:5 global:1 dynamic:1 results:6 existing:1 themes:1 executing:1 generalize:1 cooperative:1 edu:1 query:9 compares:1 issues:1 compose:1 referring:1 million:1 graph:2 environment:1 list:1 finally:1 tracker:1 ny:1 those:4 under:2 discovering:1 stochastic:1 include:1 resources:69 returned:5 straightforward:1 zhang:6 very:2 desirable:1 focus:1 every:1 lerman:10 tagging:5 carman:5 17th:1 presented:1 did:1 evaluation:1 notes:1 rights:1 t2:1 fewer:2 t1:1 large:1 vector:1 small:1 entropy:1 20th:1 measuring:1 cap:1 filtering:1 occurrence:3 ten:4 discover:2 empirical:1 translating:1 likely:2 7th:1 further:1 estimated:3 even:3 index:2 what:2 rate:2 performs:1 pipes:1 remain:1 supplied:1 networks:1 access:1 above:2 new:3 learned:2 increasing:2 method:6 filled:1 metadata:15 proliferation:1 led:1 tags:23 respectively:2 gathered:2 understanding:1 desired:2 explore:1 dimensionality:1 focused:1 compressed:1 address:5 directions:1 latent:11 obtained:6 search:14 arc:1 copyright:1 institute:1 study:1 composing:1 allows:2 step:5 significantly:2 suggests:1 airport:1 social:19 usually:1 implement:1 makes:1 involves:1 composed:1 tasks:1 useful:2 griffiths:1 classification:2 apr:1 requiring:1 manage:1 analyzing:1 kristina:1 trained:4 issue:3 apply:2 bookmarks:5 tools:2 folksonomy:1 use:10 usc:1 takes:5 usa:2 probabilities:1 positive:1 intermixing:1 only:5 next:4 few:1 depicted:1 readers:1 call:1 until:1 automate:4 criteria:2 uai:1 type:2 annotations:2 more:12 optimizing:1 utilizes:2 organized:1 hoffman:1 yahoo:1 award:1 hofmann:5 particular:17 known:1 harvest:1 must:2 high:2 account:2 word:3 integrating:3 pursue:1 originally:1 work:8 longitude:3 categorizing:1 del:19 us1:1 learn:2 following:1 example:3 claim:2 compare:3 reserved:1 repectively:2 figure:8 process:14 share:2 accept:2 topic:22 tag:23 performed:2 want:2 aaai:2 exclude:1 transactions:1 jensen:2 information:29 needs:2 united:1 goal:3 syntactic:1 provide:5 verify:1 plans:1 meanwhile:5 american:1 maps:1 rubin:3 pure:1 instead:4 guarantee:1 intelligent:1 classify:2 profile:1 map:1 january:1 description:4 may:6 earlier:1 collection:2 reflect:1 applications:7 demonstrating:1 bioinformatics:1 representations:1 data:26 response:3 types:5 third:2 summing:1 generic:1 algorithms:1 allow:3 crawling:2 chakrabarti:3 representation:2 subsequently:3 order:9 operations:3 tagged:5 itm:22 help:2 office:1 correlation:1 developed:1 over:5 utilize:2 produced:1 paper:5 through:2 brin:3 statistical:1 ity:1 synonymy:1 still:1 ieee:1 its:6 before:2 rapidly:1 fit:1 how:6 chosen:1 interesting:1 fix:1 coordinates:1 writing:1 better:4 differently:1 listing:3 latitude:3 hidden:3 retrieval:1 might:1 pennock:1 them:3 motivated:2 descriptive:1 views:1 propose:2 practice:1 introduce:1 they:11 now:1 yu:5 association:1 down:1 document:11 airports:1 name:1 parameter:3 identified:1 labeling:2 each:12 mean:1 em:5 domain:2 retrieve:2 another:4 inputs:3 generation:1 there:6 related:3 group:1 society:1 frequency:1 static:1 aim:1 measure:1 our:16 operation:3 extract:2 adequately:2 shannon:3 out:2 category:1 rey:1 network:1 space:2 since:9 research:5 content:7 re:1 contained:2 navigating:1 get:2 intervention:1 forth:1 correct:2 shows:5 after:3 theory:1 lawrence:1 retrieved:1 contain:1 divergence:3 free:1 reason:1 york:1 marina:1 org:1 estimate:6 hand:1 likelihood:5 generate:5 log:7 definition:1 training:1 created:2 dubbed:2 gibson:1 could:6 retrieving:1 so:1 times:1 isi:1 hence:1 retain:1 first:4 organize:2 automating:1 probability:4 researches:1 variables:6 number:15 rank:1 occurrences:9 dong:4 generative:1 categorize:1 city:1 given:9 limited:1 annotated:3 service:5 similarly:1 introduction:1 arlington:1 top:4 system:14 vldb:2 annotation:12 their:9 returns:6 finding:1 observations:1 corpus:1 ijcai:1 final:1 gps:1 interests:13 exploring:1 hub:1 tuple:1 contains:1 tracking:1 because:1 somewhat:1 authors:3 believe:1 crawl:2 than:11 semantics:3 wide:2 keyword:2 require:1 second:2 states:1 future:2 kleinberg:4 were:7 extracting:1 behaviors:1 function:2 motivation:1 flights:1 topics:19 conventional:1 departure:1 seed:31 need:2 any:1 contents:6 she:1 documents:7 offering:1 efficient:1 lin:3 able:3 converges:1 note:6 sciences:1 online:3 objective:4 performance:8 personalized:2 accuracy:1 circles:1 links:2 established:1 track:1 measures:2 anatomy:1 most:5 involving:1 plan:3 services:10 associating:1 analytically:1 probabilistic:16 pages:6 don:1 observation:1 unsupervised:2 considered:1 performances:1 popularity:2 cover:1 face:1 traditional:1 proceedings:3 part:2 principle:1 weigh:1 section:3 incomplete:2 ungar:1 iterations:1 show:3 text:2 supported:1 keywords:2 find:10 current:1 slow:1 based:9 just:1 parameters:11 representing:2 state:2 entities:1 simplicity:1 explicitly:3 implemented:1 rich:1 do:2 predict:2 means:1 expectation:1 preferred:1 joint:4 cannot:3 words:4 supplies:1 compute:4 resource:84 conditions:1 arxiv:1 folksonomies:1 plsa:20 investigate:1 common:3 queries:1 including:4 fixed:1 automatic:3 wrote:1 view:2 requirement:1 set:4 art:1 computed:5 exists:1 intelligence:3 omitting:1 emergent:1 observed:5 see:2 individual:1 descriptions:2 ignores:2 mediators:1 terms:6 rajagopalan:1 best:1 techniques:2 detect:1 focuses:1 user:41 currently:1 sites:4 artificial:3 tend:1 written:1 indexed:1 various:1 correctly:1 between:5 conceptual:3 assistants:1 approach:9 across:3 15th:1 discovery:17 arrival:1 recently:3 extend:2 heuristic:1 darpa:1 attention:1 however:2 acknowledgements:1 efficiency:1 wu:5 ranked:1 modeling:2 come:2 problem:3 improve:3 received:1 hits:2 mwa:12 improved:1 hyperlink:1 many:4 conclusions:1 according:3 contract:1 anon:1 sparseness:1 context:1 variance:1 estimation:2 adapted:1 finds:2 experimental:2 relevant:9 co:8 fields:1 triples:9 laird:3 royal:1 ca:1 others:1 gathering:1 community:1 sampling:1 connectivity:1 fashion:1 agents:1 maximize:1 cs:1 table:2 conference:5 consuming:2 described:9 engines:3 addition:2 skew:1 claiming:1 three:17 been:6 strategy:1 ai:1 reduction:1 much:3 interest:10 collected:3 utilizing:1 dynamically:4 systems:4 engine:4 graphical:4 describe:6 controlled:1 both:5 thousand:1 traversal:1 photos:1 unified:1 denote:2 former:1 present:3 applied:7 multi:3 novel:1 unify:1 unlike:1 examine:1 evaluated:2 will:11 while:4 suppose:1 behavior:1 promising:2 aid:1 anchor:1 styles:1 uncertainty:2 manually:4 thus:4 site:3 cluster:2 examined:3 triple:2 ready:1 return:2 attach:1 different:13 verified:1 author:7 perform:3 media:1 belong:1 same:25 checking:1 html:2 potentially:1 gibbs:1 several:3 raghavan:1 start:1 status:1 used:11 http:5 outperformed:1 possible:1 uses:2 purpose:2 robust:1 validate:2 laborious:1 expand:1 recent:1 task:4 maximizing:1 fully:1 com:2 compilation:1 analysis:3 patterns:1 directly:3 without:1 comes:1 alleviate:1 easily:1 model:58 left:2 distances:1 learning:3 stringent:1 exploits:2 proposed:7 less:1 hypothesized:1 generally:2 obtain:2 rest:1 assigned:1 sources:7 via:4 identify:2 aspect:9 world:2 alternative:1 previous:1 web:26 grounded:1 majority:1 informal:1 had:5 sometimes:1 source:2 hyperlinks:1 extends:1 location:1 relevance:1 input:9 tell:1 bin:1 aspects:1 represents:5 icio:18 evaluate:2 comparing:2 possibly:1 five:1 environments:1 denser:1 press:2 using:8 emergence:1 unique:9 moreover:1 advanced:1 necessary:1 like:3 identifying:2 exploiting:1 collective:1 manual:3 exploit:1 collect:4 continue:1 yields:1 either:2 sparse:2 follows:3 popular:4 output:5 prior:1 page:8 names:1 www:4 google:5 methods:4 dempster:3 people:1 composes:1 some:6 searching:2 authority:1 recommendation:2 matching:1 users:29 provided:1 scale:1 collaborative:2 broad:1 kml:1 integration:4 comments:1 when:2 virginia:1 asking:1 provides:5 smyth:1 minton:4 proc:5 cgi:1 who:3 retains:1 equivalent:2 conceptually:1 agreement:1 broken:1 sift:1 reduces:1 although:9 wsdl:3 ontology:1 gained:1 comparison:2 about:1 would:5 bars:1 acm:2 reduced:1 seeds:2 ensure:1 airline:1 shared:1 introduced:1 slightly:4 automatically:6 own:2 madhavan:1 communication:1 into:7 within:3 nsf:1 dataset:3 annotate:4 pair:1 appropriate:2 weather:3 references:1 determine:1 annotating:1 often:3 clustering:1 rely:3 categorization:1 computer:1 additional:1 her:1 area:1 initial:1 review:1 does:1 describes:1 low:2 way:10 series:1 was:11 assumes:1 therefore:1 files:3 human:1 complete:1 form:6 visitation:1 methodological:1 but:3 back:1 failure:2 link:9 line:1 highest:1 iterates:1 datasets:7 applying:1 intuitive:1 whether:1 dom:1 robustness:2 maximum:1 us:22 formalized:1 ranks:1 below:2 demonstrate:1 distribution:12 define:1 similar:14 called:1 wants:1 gather:2 associated:5 videos:1 defined:4 certain:3 abstract:1 heß:5 generating:1 doesn:1 evidence:4 single:4 enable:1 right:2 predictions:2 journal:4 flight:5 distributions:1 check:1 again:1 zvi:4 maintains:1 no:3 authoritative:1 nb:2 rosen:4 detail:1 application:2 other:6 functionality:23 special:2 outputs:1 nemes:1 nt:4 conclusion:1 briefly:1 generates:1 vocabulary:1 separate:3 models:16 why:1 variation:1 helping:1 generated:6 important:1 allowing:2 coverage:2 scores:2 variable:3 score:1 aggregated:1 structure:2 cns:1 independently:2 algorithm:6 assume:1 values:3 required:2 extraction:1 together:2 cohesion:1 time:2 international:4 validation:1 starting:2 once:1 |
0704.1676.txt |@word logarithm:1 secondly:1 now:1 ui:13 semantic:1 consider:1 gp:1 believed:1 macbook:1 results:49 yellow:2 four:4 executing:2 woods:2 asian:1 computation:1 edu:1 consists:1 query:5 research:3 displaying:1 children:3 issues:1 discern:1 whose:5 baseball:1 themes:1 white:4 young:1 suits:1 presents:1 list:4 finally:2 those:10 excluded:1 marks:2 arranged:1 include:8 spec:1 maximum:1 uploaded:5 activities:4 returned:4 advantage:3 organizations:1 very:1 frequencies:2 rise:1 keeping:1 fourth:1 me:1 every:1 minded:1 lerman:8 difference:1 exact:1 tagging:23 entire:1 partially:1 desktop:1 17th:1 unlike:2 level:17 did:2 issue:1 underscores:1 upload:2 gatto:2 t1:1 large:6 item:4 sand:1 unrelated:1 authorized:1 recall:9 small:1 mammal:5 speculation:1 society:1 commented:1 20th:1 dis:1 prevent:1 occurrence:1 ten:4 zk:8 bravo:1 maximization:1 discover:2 recommending:1 empirical:1 past:1 threshold:3 likely:3 arizona:1 evaluated:2 expense:1 notwithstanding:1 further:3 estimated:1 click:1 even:4 what:3 preferences:3 rate:1 fact:2 section:5 selected:4 while:3 asia:2 availability:1 access:1 version:1 gi:9 above:4 cars:1 new:7 learned:4 contributes:1 connected:1 method:13 contrast:1 metadata:12 edited:1 widget:1 full:1 behavior:1 degree:1 tags:74 respectively:6 aggregate:1 l1:4 here:4 agreement:1 following:5 explore:3 objects:1 operating:1 z9:1 groups:29 others:5 z4:1 latent:5 along:1 z7:2 table:14 appears:2 z2:2 z3:1 obtained:2 boy:1 search:70 kids:2 copyright:1 institute:1 items:3 study:1 larger:1 allows:7 reason:1 reports:1 amount:1 products:2 browsing:6 action:1 formation:1 adopting:1 makes:1 helps:1 missing:1 macintosh:1 beautiful:1 via:3 useful:2 apple:4 classification:4 apr:1 requiring:1 namely:1 z1:1 marked:10 spanish:1 api:3 kristina:1 trained:4 summation:1 tools:1 folksonomy:1 implicit:1 endangered:2 use:10 takes:3 working:1 browse:3 contains:3 direction:1 chooses:1 lagrange:2 next:1 distributing:1 few:1 depicted:2 camera:1 music:1 therefore:3 recommend:1 taken:4 type:3 annotations:2 more:14 sort:1 posting:2 iis:1 clicking:2 share:3 company:1 ti:9 wildlife:5 award:1 aware:1 train:1 observations:1 particular:9 baby:7 cases:2 tx2:2 tx1:2 step:4 sample:1 account:1 vienna:1 animals:5 movie:1 rights:1 reducing:3 car:3 equation:3 work:9 whiskers:1 laurie:1 measures:2 cat:9 reproduce:1 labeled:5 anywhere:1 del:4 morgan:1 growing:1 making:1 ρz:1 example:9 address:2 pick:1 point:2 claim:4 shark:4 reserved:1 shade:1 figure:4 chosen:4 process:6 canon:4 arise:3 organized:1 purposes:1 topic:17 tag:53 something:1 want:1 allowed:1 aaai:1 dominant:1 paws:1 species:1 addressing:1 ratio:1 pink:2 information:44 needs:2 redundancy:1 g1:1 steve:1 rather:5 describes:1 get:1 feature:2 occur:2 how:12 varies:1 rubin:1 criterion:1 forest:1 animal:9 significant:1 instead:3 constraints:1 parameter:2 michigan:1 profile:2 gaming:1 proc:2 description:2 communicating:1 may:13 watch:1 earlier:1 southern:1 imaginable:1 collection:1 stripes:3 applications:2 membership:3 explored:2 coming:1 improving:1 ontologies:1 data:35 fm:1 types:2 man:1 united:1 ambiguous:2 light:1 prefers:1 author:1 yielding:1 made:1 so:1 marlow:3 fraction:1 algorithms:3 increasing:1 fundamental:1 media:14 challenge:1 american:1 looking:2 order:5 typical:3 dramatically:1 exclusive:1 tagged:14 feedback:1 hierarchy:2 developed:1 over:9 despite:1 displayed:1 years:1 produced:1 course:1 synonyms:1 paper:6 through:17 statistical:1 left:1 synonymy:2 still:3 its:8 rock:1 group:28 lc:3 fit:1 personal:4 interesting:4 presence:2 denver:1 better:3 offers:2 τz:1 choose:5 constitutes:1 annual:1 orange:2 decreased:1 hidden:4 main:2 crowds:1 into:5 them:8 return:5 greater:1 thereby:2 views:1 press:3 washington:2 popularized:1 framework:2 giraffe:1 february:1 they:19 half:1 sorted:1 son:1 discuss:1 association:1 overlap:1 represents:2 term:12 several:3 indeed:1 name:5 under:2 beach:1 university:1 presented:5 identified:2 detroit:1 capability:1 filling:1 wong:1 l2:3 each:16 found:3 identifies:1 higher:1 mean:2 em:3 colt:1 exacerbated:1 retrieve:1 significantly:3 weight:2 map:1 generation:1 house:1 fish:2 frequency:1 related:14 conventions:1 challenges:1 generative:2 idiosyncrasies:1 zebra:1 beetle:10 our:16 girl:1 brings:2 out:1 category:1 living:1 shown:1 rey:1 taxonomy:1 network:3 join:1 quality:1 since:5 denotes:3 content:14 re:17 contained:3 conclusions:2 com:2 rel:4 maximized:1 suggesting:1 frequently:1 evaluation:2 red:3 shows:14 foundation:1 provide:1 state:1 retrieved:8 separately:1 recommendations:2 rely:1 like:2 admits:1 difficulty:1 approaches:2 management:1 california:3 york:3 carl:1 imagine:2 marina:1 org:1 estimate:3 earliest:1 likelihood:5 generate:4 additional:1 definition:1 owners:1 kaufmann:1 d2x:1 created:3 dubbed:1 could:10 florida:1 mac:2 times:1 filter:1 turn:2 isi:1 place:3 due:2 arlington:1 davis:1 facilitate:1 5th:1 first:12 major:1 organize:3 probability:7 variables:3 sydney:1 number:23 rank:1 restrict:2 date:1 specifically:1 another:6 specificity:2 owner:8 categorize:2 miss:1 size:1 given:4 necessarily:1 similarly:6 introduction:1 journals:1 top:10 provenance:1 system:9 adopted:1 response:1 their:33 returns:2 right:1 listed:1 dealing:2 normalization:1 z5:3 john:1 ranging:1 gives:4 interests:22 eyes:2 option:2 relationship:2 tuple:1 contribute:1 lists:1 wisdom:1 nternational:1 part:3 differentiate:1 authors:3 digg:2 herself:1 than:7 semantics:3 toronto:1 observed:3 kind:1 pisa:1 unfortunately:1 keyword:10 sections:3 require:1 enabled:1 see:1 submitted:6 states:1 future:6 macro:3 identical:1 india:1 providing:1 solely:1 newborns:1 pointed:2 false:5 san:2 portraits:2 topics:28 mind:4 spectrum:1 conference:8 manuscript:1 20d:1 categorized:1 portrait:3 need:2 facing:1 obviously:1 any:9 viewed:7 she:8 ratings:2 implemented:1 uncertainty:3 depending:1 latter:1 ideas:1 mechanism:2 zoo:5 note:4 sciences:1 high:5 subjects:1 take:2 online:2 finding:2 performance:7 personalized:2 hp:2 circles:1 links:1 added:5 multiple:4 allow:3 lion:2 track:2 park:2 senses:3 object:3 anatomy:2 most:14 brooklyn:1 swallowtail:1 plan:3 occurred:1 representation:1 evaluator:1 acknowledgements:1 probabilistic:9 why:1 appear:3 known:1 special:1 michal:1 incomplete:1 average:3 sometimes:1 dog:6 looked:1 missed:1 proceedings:5 uai:1 pictures:2 nyc:1 voting:1 pets:1 technical:1 came:1 ungar:1 rating:1 thomas:1 shot:1 show:12 insects:2 text:2 agreed:2 supported:1 infant:2 converge:1 goal:1 attempts:1 shares:1 keywords:6 portfolio:1 screenshots:1 networks:6 descriptors:1 help:5 stochastic:2 indicator:2 flowers:4 based:16 knowledge:1 parameters:9 title:1 representing:2 specified:1 enough:2 ball:1 should:1 values:1 entities:1 only:4 black:2 judged:1 rich:2 photo:21 attained:1 posted:3 interested:10 columns:4 photographs:2 do:8 icwsm:2 his:5 sense:6 undecided:1 means:1 familiar:2 photography:11 express:5 designated:1 expectation:1 joint:3 cannot:2 words:6 supplies:1 report:3 during:1 striped:1 interpreted:1 bird:1 tribute:1 chronological:1 showed:2 arxiv:1 encyclopedia:1 public:7 common:3 queries:2 including:6 fixed:1 discussing:1 14th:1 iswc:1 view:5 predictive:2 set:40 decides:2 computed:2 exists:1 achieved:1 encourages:1 intelligence:4 reported:1 omitting:1 respect:1 emergent:1 sparseness:1 relative:4 collectively:1 depends:1 actively:1 result:2 discussions:1 recently:1 calendar:1 best:2 subject:2 said:1 draws:1 probable:2 expert:2 ways:3 subsequent:1 currently:1 wikipedia:1 sites:9 artificial:4 loglikelihood:1 libraries:1 case:3 written:1 captured:1 correctly:1 between:6 d50:1 probably:1 flickr:42 approach:8 discovery:4 available:1 terms:6 creating:2 extend:1 web:7 keyboard:1 darpa:1 screen:2 were:9 combining:1 however:4 prediction:1 thereon:1 would:3 extent:1 percent:1 interface:5 news:1 naaman:1 improve:7 adapting:1 both:6 improved:1 reverse:1 hyperlink:1 many:16 taking:1 postulate:1 according:4 contract:1 called:1 etc:8 anon:1 objective:2 games:1 documents:5 antonio:1 expand:1 z8:2 genus:2 expression:2 comes:2 otherwise:2 among:3 presumably:1 filtering:27 co:4 stream:1 conclude:1 color:2 royal:1 ca:1 categories:2 motivation:1 community:2 newborn:16 exploit:4 simply:3 likes:1 maximize:2 consideration:1 cs:1 ordered:2 improvement:3 z6:2 second:2 specializing:1 forms:1 consuming:1 described:10 puts:1 agree:1 addition:7 equations:2 create:4 acceptance:1 three:3 been:5 mark:2 secret:1 distinguishing:1 combined:1 interest:12 basic:7 collected:3 flexible:1 annotation:1 pro:1 important:1 systems:7 wants:2 life:2 enable:1 roy:3 deeper:1 mika:3 eastern:1 quantities:1 government:1 personalization:7 precision:26 imac:1 dominates:1 tiger:42 photos:17 understand:2 gx1:2 gx2:2 child:8 last:4 evidence:2 irrelevant:7 former:1 present:1 applied:3 extracted:2 fur:1 publicly:1 developing:1 lyle:1 plain:6 tastes:1 value:3 remaining:1 will:17 receive:1 near:2 suppose:4 evaluating:1 involved:1 wild:3 aid:1 designate:2 document:2 london:1 exclude:1 ix:2 studied:1 find:1 manually:2 almost:1 characteristics:2 im:2 ir:1 thus:5 site:3 sleeping:1 confound:1 vs:2 experts:1 increase:4 boyd:1 seattle:1 attach:1 examine:1 descriptive:1 different:12 italy:1 contents:1 stuttgart:1 conceptually:1 things:2 belong:1 siberian:8 same:4 tells:1 huberman:6 improves:1 vulnerable:1 babies:1 big:3 hierarchies:1 taxonomies:1 occurrences:2 difficult:1 development:1 tree:1 used:38 http:3 raymond:1 screenshot:1 ψu:1 i1:1 social:26 upon:1 functions:1 virginia:1 driven:1 usually:1 levels:2 uses:3 user:109 infinite:1 changing:1 thoughts:1 recent:3 relies:2 tracking:1 kept:1 possibly:1 try:1 no:5 well:9 analysis:2 non:2 person:1 directly:2 contact:5 solve:1 sets:6 model:32 labs:1 self:1 latest:3 unified:2 learning:2 smyth:1 exploits:2 safari:1 decreasing:1 being:3 when:16 laptop:1 domestic:1 obtain:1 rest:2 assigned:1 sources:1 relevant:33 identify:4 human:3 touch:1 inference:1 bengal:2 article:1 yet:2 succeeding:1 previous:6 begin:1 adding:3 hurts:1 intersection:1 lawrence:1 family:2 equipment:1 informal:1 furry:1 passively:2 had:9 dc:1 day:1 reasons:2 add:4 belongs:1 collections:3 cub:2 easy:2 relevance:2 nos:1 transformation:1 photographed:1 styles:1 australia:1 march:1 multipliers:2 easily:1 icio:3 evaluate:4 showing:2 hpl:1 posed:1 possible:4 smithsonian:1 collaboratively:1 increases:1 generating:1 preference:1 birth:1 judge:1 using:11 unique:1 herein:1 advanced:1 formal:3 intel:1 excluding:2 follows:2 facets:1 performing:2 admitted:1 specific:8 individuals:1 either:4 sparse:1 exploiting:1 popular:3 expresses:1 environments:1 colors:1 collective:1 names:4 butterfly:2 www:2 because:8 methods:7 dempster:3 people:4 simplicity:1 conditional:2 some:6 searching:13 supplementary:1 wider:1 trends:1 mooney:3 examples:2 recommendation:5 images:97 unless:1 organizing:1 generates:2 provided:1 trust:3 represent:4 collaborative:7 lead:2 contacts:52 pet:2 pennock:1 comments:4 constantly:1 interestingness:6 eliminate:1 provides:3 straightforward:1 temple:1 nose:1 locate:1 considering:1 biased:1 who:11 meanings:2 scientific:2 heckerman:1 word:2 equivalent:2 processing:2 d70:1 illustration:1 volkswagen:2 likewise:1 sift:1 although:4 everyday:1 thailand:1 post:4 properties:2 science:1 metrics:1 about:14 central:1 usa:1 column:3 interlinked:1 favorite:6 insect:3 acm:4 page:5 remains:1 idl:1 rosen:4 expressed:1 act:1 discard:1 introduced:2 os:2 book:1 automatically:2 subset:2 david:2 own:8 positives:5 colorado:1 twelve:1 image:43 within:8 year:1 uncontrolled:2 annotate:6 square:1 references:1 primarily:1 proportional:1 annotating:2 policies:1 technically:1 art:1 categorization:4 computer:3 log:9 her:22 artifacts:1 assumed:1 there:6 u1:1 approximate:2 submit:2 pages:7 cats:8 lions:1 low:1 way:3 series:1 exceptional:1 was:10 governmental:1 assumes:2 treat:2 function:1 academic:1 complete:2 form:4 offer:1 mammals:2 believe:3 combing:1 methodological:1 but:7 expected:3 hierarchical:1 link:1 gain:4 estimation:2 mentioned:1 approximation:1 griffiths:1 he:3 captures:1 iterates:1 datasets:1 compute:5 ux:2 places:2 uninformative:1 default:1 inside:1 official:1 variations:1 up:3 us:7 until:1 um:3 below:3 un:1 stories:1 submitting:1 heterogeneous:1 highlight:1 problem:6 define:1 similar:9 display:1 nature:8 accelerate:1 strongly:1 laird:1 thresholds:1 associated:1 play:2 videos:1 user1:3 defined:4 certain:1 abstract:2 describe:9 graphical:2 general:7 meanwhile:8 single:3 arises:3 expertise:1 together:2 journal:1 principled:1 august:1 ni:10 zvi:4 compared:1 discriminate:2 nm:2 national:1 variety:6 whereas:1 designating:1 green:1 ng:4 other:22 functionality:1 details:1 unfiltered:1 papers:2 digital:1 forcing:1 nt:4 expose:1 asterisk:2 predefined:1 enlarge:1 francisco:1 denote:1 users:62 vocabulary:3 models:5 problems:4 variation:1 includes:3 lens:1 meaning:4 flower:3 variable:4 friends:4 structure:2 mood:1 jones:3 nikon:3 tailored:1 duplication:1 individual:4 factorized:2 algorithm:5 assume:3 pr:17 blogs:2 confirm:1 youtube:1 z10:1 rule:1 overload:1 eos:1 weblogs:2 implied:1 cute:1 teeth:2 directory:1 international:3 having:2 classical:1 hypertext:1 |
0704.1677.txt |@word logarithm:2 limited:1 logarithms:24 code:5 customary:4 consider:3 gq:1 exponentiation:1 keep:1 global:2 sca:31 results:23 four:3 eds:1 ciudad:1 unmatched:1 computation:2 go:2 partial:1 expressions:11 ubacyt:1 contributions:19 worked:1 gi:2 whose:1 γx:1 depend:4 remarkable:1 ac02:1 trentadue:4 rsep:1 corrections:22 containing:1 presents:1 contract:1 finally:5 those:6 stable:1 mangano:4 analogous:1 include:1 γg:1 worth:1 γe:2 divergent:2 nason:4 applied:1 takes:2 outside:1 very:13 rise:1 geometrical:1 fall:2 fab:2 experimentally:1 emphasized:1 parameter:2 rapidities:4 perspective:1 gg:6 quantitatively:1 level:10 turns:3 nucl:14 mild:1 occurs:1 large:27 convenience:2 recall:1 small:6 enhance:2 drop:1 barbara:1 configurations:5 governing:1 upper:1 strongly:1 smaller:6 compensated:1 grateful:1 findings:1 consistent:3 estimates:1 prediction:1 voutilainen:1 cosh:1 approximation:8 second:1 α2s:1 summer:1 evaluated:1 qualitatively:2 implemented:1 carlo:8 giele:1 tev:10 goes:1 even:14 intimately:1 plays:1 appear:3 cover:1 laenen:1 section:74 while:3 expressed:1 find:2 current:1 experiment:2 issues:1 above:5 capital:1 deal:1 new:1 acknowledgments:1 contrast:1 coefficient:1 impact:2 agreement:1 full:20 required:1 evaluating:1 ibid:1 respectively:2 unobserved:3 jointly:1 hundreds:1 ranges:1 reported:1 explore:1 inverse:3 them:5 free:1 excess:1 represented:1 σab:13 along:2 tevatron:10 directions:1 appears:1 logarithmic:17 obtained:14 great:1 incoming:1 noticeable:2 receive:1 involved:3 study:9 larger:16 allows:3 approaches:1 p2:3 recently:1 huth:1 resulting:2 loop:2 pictorial:1 usually:1 complicated:1 therein:1 narrow:2 studies:2 cancellation:1 emerge:1 being:1 useful:3 gluons:3 scales:8 apr:1 prefer:1 desy:1 addressed:4 gluon:20 ln:42 pdfs:2 total:1 readily:1 flavors:1 plot:3 use:8 indicated:1 usa:1 remains:2 positive:2 stated:2 negative:1 next:12 phenomenological:6 nikolaos:1 going:1 kinematics:1 therefore:9 qcd:6 aperture:6 associated:8 theoretical:6 diagrams:5 more:17 main:2 treated:1 partons:14 initiated:1 furthermore:1 successful:1 becomes:2 factor:6 emission:7 wonder:1 appendix:5 virtue:1 particular:4 known:6 cases:4 hold:1 γa:1 must:2 bremsstrahlung:1 states:7 account:3 defines:1 mc:1 erratum:1 presentation:1 work:9 cancellations:1 salam:1 remain:2 values:8 hope:1 ms:1 already:2 making:2 example:8 mnemonic:1 heart:1 compare:1 nnlo:2 prompt:1 renormalization:4 figure:16 give:4 calculation:7 anomalous:2 arise:5 organized:1 kunszt:1 dependence:8 topic:2 marco:1 performed:2 allowed:1 modest:1 rescaling:2 species:1 quark:5 axis:1 information:1 cteq6m:3 counting:1 affolder:1 rather:7 describes:2 discussion:2 returning:1 algorithms:3 write:1 far:3 dwf:1 buenos:1 instead:2 ordinary:1 explains:2 dominance:1 simplicity:3 monte:8 express:1 description:2 singular:1 may:13 liverpool:1 earlier:3 inessential:1 dx2:2 demanding:1 stefano:1 reflect:1 applications:4 fb:5 produce:5 collins:1 summarize:1 choice:2 data:11 kilgore:1 cgg:1 abe:1 short:3 effective:1 emit:1 whenever:1 light:1 explicit:2 perhaps:1 complexity:2 negligible:1 specifying:1 fundamental:1 suggest:1 definitions:5 increase:3 d0:4 order:32 prescription:2 superscript:1 restriction:1 schwartz:1 produces:3 hadroproduction:1 indeed:3 over:19 top:1 displayed:1 expects:2 produced:4 jna:1 paper:9 same:9 resummed:42 jnd:4 mentioned:2 correctly:1 still:2 its:5 before:4 technically:1 tending:1 derive:1 how:1 energies:4 interesting:3 ll:6 actually:2 previously:1 production:14 choose:1 gracey:1 argentina:1 secondary:1 defining:2 variables:2 non:5 good:5 aab:1 bonciani:1 thereby:1 reveal:1 frixione:2 processes:5 introduce:1 anticipated:2 scaling:3 framework:2 complete:1 furman:1 effects:22 they:13 half:1 thus:2 now:7 yu:1 discuss:1 bigger:1 matched:4 easily:1 february:1 finite:7 2k:1 fully:1 university:1 presented:6 backgrounds:1 possibilities:1 sufficiently:1 aversa:3 ratio:5 each:8 found:1 about:2 pumplin:1 typical:1 referred:1 subset:1 england:1 parton:19 verify:1 hadronic:12 series:3 energy:15 hard:8 related:7 applicable:1 constitute:1 used:6 expect:3 measurement:1 laboratory:1 happen:1 beyond:4 extract:1 out:5 leave:1 shown:6 jul:1 µ2f:12 space:10 restricted:1 ha:3 since:3 rev:24 douglas:1 research:1 particles:1 collisions:18 contained:2 daniel:1 dominated:1 kodaira:1 term:4 formula:13 dominate:2 ref:5 integrated:11 shows:6 abbott:1 after:4 theory:15 interactions:1 singularities:6 contain:2 ısica:1 departamento:1 standard:1 ex:6 reason:1 carried:1 formation:2 convolutions:2 success:1 estimate:1 generate:3 ua2:1 additional:2 definition:10 fa:14 best:1 could:1 running:1 dijet:1 counterpart:1 turn:4 γq:1 massive:5 universidad:1 hence:3 neglected:1 repeats:1 hadrons:1 neglect:1 colliders:5 first:11 origin:5 owens:2 major:1 initial:14 features:1 simply:4 jhep:5 subtlety:1 thesis:1 number:5 channels:3 obeying:1 improvements:1 directly:1 necessarily:1 reached:2 unpublished:1 george:1 xt:20 size:8 given:17 perturbation:6 jet:131 similarly:1 introduction:3 leading:18 eqs:2 adopted:1 taken:2 their:6 intermediate:1 observations:1 calculations:10 aybat:2 πx:2 scheme:1 98ch10886:1 final:20 gives:1 excellent:1 way:2 mostly:3 behind:1 relative:4 exactly:2 lower:1 transverse:13 assumption:1 part:7 somewhat:2 x2:6 believe:2 than:8 coefficients:19 alternative:1 distance:4 quantitative:1 target:4 things:1 collaborations:1 was:9 approximations:1 programs:1 measured:1 see:16 exponents:2 collinear:17 matter:1 accordance:1 kth:1 were:5 dx1:2 accessed:1 tion:1 toward:2 steep:1 distinguished:1 perturbative:17 lowest:2 addressing:1 outstanding:1 reproduces:1 lines:2 unchanged:1 argument:1 curves:1 needs:1 direct:1 conicet:1 say:1 substantial:1 unlikely:1 gab:1 collects:1 need:5 seen:3 constrained:1 any:3 viewed:1 relatively:7 forced:2 angle:5 enhancing:2 depending:2 florian:4 latter:3 seymour:2 note:4 extracted:3 high:16 2nf:1 take:1 ex1:1 schematically:1 so:9 encouraged:1 channel:6 accuracy:6 formulas:4 unless:1 allow:5 shall:3 probed:2 jun:1 collaboration:11 montecarlo:1 accurately:1 most:3 involving:1 aires:1 comparing:5 representation:1 pair:1 analytically:2 extremely:1 why:2 cc:1 exponent:5 workshop:1 kuhlmann:1 constructed:1 observation:1 surprising:1 considered:3 calculated:2 later:1 stronger:1 pseudorapidity:2 accounted:2 proceedings:1 exp:3 pattern:1 regularized:1 brookhaven:1 left:3 typically:4 sum:5 fact:7 cacciari:1 precise:2 q2:15 cdf:7 particularly:1 show:3 supported:2 anyway:1 infrared:3 implying:2 determine:1 threshold:64 tend:1 nll:26 nlo:60 make:2 partonic:46 x1:6 based:1 knowledge:3 implementation:1 exponentiated:1 enough:2 should:2 analytic:3 only:16 explicitly:2 generators:1 convoluted:1 developed:1 truncation:1 achieve:1 snowmass:1 dn:1 do:2 dominant:1 gev:19 di:6 dependent:2 de:7 overall:6 straightforwardly:1 soper:3 define:1 unimportant:1 ones:1 closely:3 international:1 dv:3 dw:4 conjunction:1 webber:1 dq:2 qq:8 jnc:1 regarding:1 dpt:10 converge:1 lengthy:2 decade:1 arxiv:38 expansions:1 factorization:10 twice:1 bab:1 predicted:1 qg:5 recoiling:3 analytical:10 fortunately:1 fixed:8 p3t:5 view:1 enhances:1 fourmomenta:1 set:6 res:8 computed:3 achieved:2 national:1 lett:18 maximum:1 observed:11 differs:1 depends:3 sec:4 usefulness:1 discussions:2 close:1 contour:1 incorporating:1 ability:1 closer:1 instance:1 αs:35 evaluation:1 interacting:1 stratmann:2 federal:1 nuclear:1 away:1 currently:1 µr:12 importance:2 state:22 future:3 various:4 inset:2 radiated:1 between:8 ˆab:10 invariant:7 µf:8 approach:1 available:6 adv:1 notice:1 3cf:1 terms:24 2pt:7 parent:1 corresponding:3 initially:1 nc2:1 emitted:1 points:1 however:4 ln2:6 following:1 wv:1 vanishing:2 erate:1 here:6 spoil:1 oderda:3 jets:5 universitaria:1 configuration:2 suppressed:4 improve:1 reaction:2 last:2 lai:2 limits:1 desired:1 many:1 taking:2 decrease:2 catani:9 deposition:1 attributed:1 called:1 participating:1 chosen:8 improves:1 sudakov:3 receives:1 lo:2 exceeds:1 x2t:7 contribution:2 extracting:2 expression:4 xˆt:5 experimental:7 otherwise:1 pabell:1 among:1 relevant:2 co:1 cn:1 cm:3 point:1 simple:3 cb:1 ca:18 address:2 cg:1 corresponds:4 cd:27 distinguish:1 pole:1 werner:1 anti:2 consideration:1 cancel:2 respect:3 cq:1 throughout:1 suppressing:1 lies:1 considering:1 pp:9 strong:5 described:1 mention:2 pt:27 though:4 addition:3 simplification:2 dis:1 radiative:1 due:6 been:6 emilio:1 int:6 reduction:2 offers:1 deposited:1 combined:3 interest:2 basic:1 expected:6 flexible:1 ph:37 alitti:1 hardly:1 universal:2 fig:16 dots:1 graphical:1 describe:2 partly:1 both:10 suppress:1 photon:1 further:1 ager:2 bulk:1 relevance:1 dramatic:1 hamburg:1 improved:1 fceyn:1 general:3 former:1 present:7 case:24 p1:3 subprocesses:1 exponential:1 solid:4 might:1 reliable:1 resummation:55 abulencia:1 value:3 choices:1 will:22 near:5 greco:3 replaced:2 match:5 behavior:3 dokshitzer:1 2nc:1 situation:2 property:1 region:6 procedure:1 cab:12 identical:2 aa:17 would:3 default:2 αsk:4 refs:1 subprocess:2 tonic:1 αsm:1 according:1 ii:3 canceled:1 reads:2 itself:1 cone:28 conf:1 vw:1 bauer:1 vanish:1 sterman:11 around:2 result:8 par:1 combination:2 sensitive:2 perform:3 powers:2 divergences:2 µ2r:8 radiation:7 cross:106 arbitrarily:1 orders:3 shorter:1 shifts:1 cqq:4 emphasize:1 matrices:2 uncertainty:1 products:1 several:2 events:1 higher:10 independent:4 literature:1 leads:1 lie:1 dasgupta:1 hardscattering:1 numerical:3 effect:2 hand:4 αs2:5 moment:3 codes:2 uses:3 πb0:3 never:1 landau:2 tung:1 expand:2 recent:2 mentioning:1 subleading:2 task:1 off:1 center:2 dxxn:1 largely:1 makes:1 variety:1 well:2 roughly:1 know:1 double:5 patterns:1 without:3 dashed:4 comparisons:5 arising:1 dimension:2 fermilab:1 usual:1 huston:1 ny:1 just:3 less:2 moments:2 generally:2 accurate:3 expanding:1 obtain:3 reviewed:1 against:3 instructive:1 identify:1 nf:4 world:1 kidonakis:7 regardless:1 momenta:3 scattering:13 yet:4 previous:3 gonzales:1 like:2 b20:2 upton:1 regarded:1 extra:1 except:3 improvement:2 signals:1 kinematically:1 other:9 treatment:2 abazov:1 bnl:2 born:14 mod:1 reinstate:1 transformation:2 momentum:18 build:1 real:3 inelastic:1 asymptotically:1 quarks:2 represents:1 read:2 phenomenology:3 showing:1 possible:5 cf:6 possibly:1 2πi:1 provide:4 using:5 emergence:1 rhic:7 apart:2 multiply:1 appearing:1 particle:1 semi:4 sizes:3 systematically:1 follows:3 reduces:1 performing:3 specifics:1 specific:1 collect:3 continue:1 yields:2 either:2 always:3 become:1 soft:19 specifies:1 because:10 oleari:1 often:2 regularizes:1 some:2 under:2 understood:2 b0:3 nonetheless:2 sight:1 moreover:2 ross:1 conclusions:1 berger:1 matching:6 rapidity:12 happens:1 scale:6 focused:1 lead:1 realistic:2 demonstrates:4 measurements:1 integration:7 per:4 contributing:2 does:3 provides:2 assuming:1 guillet:4 moderate:3 ddf:1 minimal:2 bd:1 process:6 masses:2 run:2 ba:5 power:2 slight:1 bn:1 arbitrary:1 conventional:1 expansion:10 interval:2 likewise:1 restrictive:1 mellin:8 ratios:4 derived:3 jn:8 hadron:10 enhancements:3 comparison:6 limitation:2 kinematical:1 central:1 kinematic:3 constraint:1 dˆ:16 theorems:1 discussed:4 meaning:1 o:15 sake:1 range:1 plus:2 act:1 insufficient:1 2cf:3 introduced:2 slightly:1 2ca:2 automatically:1 enhancement:4 individually:1 contains:2 significant:2 followed:1 presence:1 h2:8 cqg:1 into:6 h1:8 numerically:4 bound:1 three:2 down:1 phase:4 appropriate:3 right:3 references:2 cent:3 primarily:1 proportional:3 methods:1 uncertainties:2 hep:40 log:13 few:3 assumed:3 strictly:2 there:9 transform:2 long:3 much:5 fraction:2 crucially:1 biggest:1 scientific:1 analyze:2 sections:34 assumes:1 treat:1 function:10 considerably:1 hx:1 runs:2 azimuthal:1 form:7 abachi:1 becoming:1 differences:3 agrees:1 within:3 but:7 change:1 pj:3 properly:4 line:1 sense:1 true:1 considerable:1 illustrative:1 auxiliary:1 established:1 absent:1 fragmentation:2 made:3 compute:1 pion:1 evident:1 vogelsang:7 whether:2 inside:2 up:5 us:1 different:7 gratifying:1 4v:3 below:2 limit:8 signer:1 demonstrate:1 distribution:9 stages:1 similar:9 agree:1 b1:4 detailed:3 ab:14 constant:8 ad:1 inclusive:15 defined:9 certain:2 abstract:1 contribute:3 abelev:1 deep:1 denote:1 single:23 arises:2 ensuing:1 ingredients:1 our:19 formally:2 formalism:1 distributions:6 check:1 interferences:1 regime:7 ser:1 again:2 functions:14 compared:1 color:9 no:5 eq:25 whereas:1 nc:1 when:14 vanishes:2 virtual:5 application:1 valid:1 role:2 details:2 department:1 weights:2 massless:10 nt:1 observable:1 integrand:1 picture:1 star:3 completes:1 emerges:1 setting:1 expanded:2 helpful:1 generated:1 important:5 suppression:3 studied:1 variable:4 ellis:2 needed:3 structure:6 correlated:1 coupling:8 algorithm:4 assume:1 physics:3 11ca:1 factors:16 pseudo:3 dσ:11 dixon:2 factorizes:1 chiappetta:3 mass:14 presenting:1 exponentiate:3 time:4 n3:1 having:1 others:1 8th:1 |
0704.1678.txt |@word desirable:1 four:5 consists:1 payoff:14 whose:5 chinese:1 conitzer:1 aus:1 under:14 applied:3 conjecture:17 rise:2 every:58 comparator:1 supports:2 solution:35 vector:10 burke:1 indices:1 evaluating:1 disciplines:1 direct:3 approximation:33 elegant:1 second:36 valiant:6 chen:13 implemented:1 machines:1 even:8 established:1 errors:1 blum:2 beaten:1 minty:1 above:9 new:19 poorly:13 ever:1 pioneering:1 notions:3 here:1 china:5 active:1 path:5 obtained:2 endpoints:2 rigorously:1 study:7 economics:11 characterizing:3 der:2 diameter:1 divide:1 rosenberg:1 highly:1 nk1:2 total:8 unit:8 would:9 3na:5 negative:1 call:5 therefore:5 m2:2 type:2 separated:1 holt:1 warm:1 must:10 pivoting:2 characterize:2 work:18 modify:2 concepts:3 example:6 pinkus:1 give:4 iterative:1 preserving:1 gadgets:1 want:1 david:1 absolute:3 end:11 provide:4 imprecision:2 how:6 amazing:1 answer:4 gate:25 description:2 turing:3 after:16 hong:4 lab:1 constants:6 attempt:1 38th:2 summing:1 complexity:95 18th:2 algorithms:24 decreasing:2 order:8 operations:7 mahdian:1 over:7 satisfies:20 fǫ:3 easier:1 overcome:3 highdimensional:1 eventually:1 them:1 interdisciplinary:1 they:9 structural:2 brouwer:35 simplices:1 classified:1 arrow:12 each:78 went:1 side:2 mean:1 qji:1 series:1 haber:1 used:7 optimistically:1 conjectures:4 rw:7 rp:6 network:6 restricted:1 rd:3 combinatorial:1 rg:4 rb:5 rl:7 rm:2 rn:16 ri:38 scalings:1 rk:6 foundation:2 abbott:3 linear:18 associate:1 standard:3 vazirani:3 r1:6 r2:2 created:1 correctness:3 soda:3 vijay:2 sigact:1 already:1 chronologically:1 qkl:2 rank:2 another:2 enumerate:1 electronic:5 qkt:2 2k2:1 similarly:10 opportunity:1 equilibria:86 approximately:1 needed:6 perturbations:14 too:2 john:3 2ab:1 positively:7 last:5 showed:2 princeton:1 structures:2 approximations:1 iteration:2 matter:1 classes:7 expc:3 enables:4 seminal:1 fashion:1 boston:2 rigorous:1 seminar:1 relatively:3 person:2 latter:2 sound:1 subjects:1 neither:1 blue:1 shall:1 simplify:2 involving:3 bsi:2 entry:9 dummy:1 observation:2 max1:7 vertices:10 complexities:2 points:47 principle:1 sum:21 dot:1 heuristics:2 reductions:3 random:3 ending:1 implying:3 colors:13 solutions:3 pki:3 hypercube:6 pick:6 spite:1 implementation:1 explain:1 abs:1 constant:15 continuity:1 do:7 di:1 stop:1 despite:1 report:2 dw:8 du:1 stoc:5 increasing:1 acknowledgments:1 1960s:1 observed:1 pads:1 result:31 best:2 techniques:5 said:1 exponent:1 predecessor:1 artificial:2 disprove:2 simplest:2 approach:4 discovery:3 letting:1 terms:1 parallels:1 extend:3 nature:2 confusion:1 wl:15 wk:2 however:14 wi:23 wt:2 huang:4 news:1 suggested:1 essentially:2 uncertainty:1 participating:1 players:15 games:67 logic:4 vitter:1 variance:1 argue:1 com:2 asked:4 con:1 appeared:1 2na:1 2nd:5 polynomial:110 oblivious:1 conference:3 union:2 three:22 been:17 quickly:1 t2:1 much:3 basic:3 expected:4 graphical:6 families:1 concerning:3 irving:1 2n3:9 2n4:1 mohammad:1 commerce:2 exception:1 economies:4 suppose:28 property:26 procedure:3 conp:2 played:1 n2c:2 leontief:5 conditioned:2 player:93 noncooperative:1 ib:19 ig:27 grown:2 containing:1 make:3 intersecting:1 complex:1 several:11 showing:1 independent:3 nil:22 numerical:1 counterparts:2 hand:5 supposing:4 a2k:5 a2l:2 normalization:1 simulates:3 weakly:1 shortly:3 possibly:1 kyle:1 academic:1 paradigm:1 ideas:2 assigned:4 human:1 facts:1 previous:2 adding:2 unique:1 had:4 evidences:1 corollaries:1 easy:1 lcp:1 advances:4 possible:5 objective:4 shadow:1 replace:1 aram:1 desire:1 bpp:1 steps:9 sparse:12 arbitrary:1 dantzig:1 people:3 zci:1 edelsbrunner:1 comments:1 inserting:2 specifically:1 algorithmic:5 bold:2 constructive:2 shifting:3 properties:8 zur:1 o:48 distinct:4 ensure:4 slightly:2 considerations:1 raised:1 statements:6 presence:1 bound:4 chooses:2 lies:1 balanced:1 equilib:1 often:2 combinatorics:1 support:15 subdivide:1 transform:4 why:2 editor:3 way:6 m1:2 combinatorica:1 was:12 form:7 encodes:2 needles:1 megiddo:5 encoded:1 true:11 builds:1 versions:3 borsuk:1 theobald:2 bounds:1 b1:5 proved:17 computing:29 abstract:1 evidence:1 exist:5 promised:1 check:2 ni:1 nk:2 no:16 na:4 nc:1 when:22 setting:5 role:2 papers:2 np:9 node:11 models:8 uniformly:2 utilities:1 variable:1 longer:2 assume:19 interval:3 together:4 time:90 n0:2 n1:1 n2:23 n3:47 n4:2 minimax:5 concept:9 remarkable:1 focus:2 leads:3 computation:30 row:17 dimensionality:3 graph:5 technique:1 finally:7 discovering:1 string:3 advantage:1 bulletin:1 dokl:1 rationality:2 entries:19 ma:1 papadimitriou:21 exact:1 discovered:2 presented:1 did:1 die:1 discrete:32 settle:4 recall:12 round:1 upper:4 des:1 curse:3 adds:1 stands:1 uniform:10 annals:1 international:5 satisfy:18 lipschitz:1 rabin:1 along:2 change:1 box:2 studied:1 step:12 commonly:2 mx:1 accomplished:1 usually:4 studies:3 useful:2 prefer:1 logical:1 santosh:1 jose:1 1st:2 market:11 additive:2 prove:55 sake:1 positive:16 encode:4 scope:1 theoretical:2 today:1 duality:3 fortnow:1 appendix:5 far:1 cases:11 effort:2 capturing:1 parameterize:1 valued:1 ibm:1 originally:1 focs:3 uli:1 values:7 syntactically:1 following:74 making:1 figure:37 refine:2 allowed:1 counting:3 normalize:1 requirements:1 fpc:1 write:4 vital:1 plus:3 guarantee:1 parameter:8 economy:1 map:12 product:2 r2k:7 irrational:1 may:8 max:23 needs:1 applications:3 produce:1 designed:1 representations:3 times:2 sy:1 natural:7 outline:3 johnson:1 whenever:1 lemmas:4 so:12 verify:4 representation:5 superscript:2 ulam:1 subsections:1 duke:1 indeed:1 kong:4 course:2 tth:4 argued:1 ieee:4 derive:3 group:1 thank:3 interesting:3 decreases:1 forms:1 main:12 non:16 introduce:7 scaling:2 half:3 now:20 discuss:2 developments:2 rendering:1 quarter:1 em:2 square:1 ei:4 kane:3 ea:2 gaussian:8 breakthrough:1 assumption:21 shown:3 space:6 profit:1 vj2:3 furthermore:1 increase:2 contained:13 rational:28 internet:8 correct:1 shows:7 earlier:1 theory:19 quite:1 ppad:67 besides:1 org:1 remainder:1 advance:2 fixed:68 programming:14 turn:4 place:3 first:65 origin:1 xi:6 xc:29 variables:7 approximate:87 long:3 directly:2 carry:1 open:9 xt:20 size:33 city:3 given:23 necessarily:2 returns:1 types:4 bits:22 1n:2 hua:2 cope:1 wellbehaved:1 continuous:7 proving:4 padding:4 elusive:1 x0:1 than:13 specify:3 require:1 were:3 r3m:1 san:1 generality:3 argument:4 generalization:1 say:3 r3t:1 sar:1 any:33 computationally:3 efficient:3 aside:1 note:18 sciences:2 potential:1 take:2 interior:2 performance:2 qti:4 multiple:1 normal:3 price:1 barycentric:1 reducible:9 inserted:2 pages:20 especially:2 considered:1 average:4 later:3 implications:3 debreu:12 show:26 kannan:2 notations:2 corner:1 ground:1 enriches:1 ratio:1 homomorphic:1 only:14 explicitly:1 black:2 reducibility:1 get:3 nearly:2 invariant:6 justified:1 regarding:1 nondecreasing:1 inside:1 j1:6 j2:3 relative:2 encouraged:1 fails:1 satisfying:5 inequalities:2 review:3 enough:1 between:15 geometric:4 reading:2 gives:1 notice:1 jr:1 x2k:4 tractable:1 many:11 according:13 embedding:8 among:12 color:26 period:4 poly:11 innovations:1 ptas:1 exploit:1 grants:1 iterations:1 ordered:1 nicole:1 math:1 combines:1 locally:1 workshop:7 prototype:4 model1:1 v22:1 v21:2 enable:1 6m:3 6n:1 spirit:1 those:1 case:34 safra:1 transactions:1 vk1:3 friedl:1 return:3 binary:7 different:1 develop:3 same:7 arguments:1 yc:29 extended:13 assigns:2 closest:1 running:2 edges:1 bimatrix:126 changing:3 tradition:1 ijcai:1 implements:1 largely:1 howson:17 ccr:2 panchromatic:45 46th:2 without:5 solve:5 components:2 coordinate:2 model:17 dimension:15 gates:35 being:1 captures:1 actions:4 announcement:1 thinking:1 seems:1 enjoys:2 complements:2 extensive:1 real:8 aspects:1 represents:2 sums:1 grid:5 using:16 ams:1 sampling:1 reduces:2 either:4 always:1 output:18 reduced:3 specifies:2 polylog:1 moreover:7 complementarity:1 matching:1 nonzero:3 lemke:18 dimensions:6 pnas:1 d3m:2 decomposition:2 provides:1 semantically:1 refer:2 und:1 equivalent:6 notable:1 accommodated:9 universit:1 y2k:1 central:1 stant:1 theorems:8 acm:11 practical:3 tremendous:1 greatly:1 mixed:8 2k:88 perturbed:3 cambridge:2 communication:2 references:1 stabilisation:1 operator:1 theoretically:1 log:12 her:1 assumed:1 strictly:2 there:56 start:3 low:2 assumes:1 tight:1 complete:27 fundamentals:1 positioned:20 technologies:1 applying:4 stanford:1 santha:1 embed:4 simplicial:3 v31:1 ab:1 ad:19 ai:28 certain:3 ak:2 aj:6 general:8 ar:6 av:2 ay:15 again:2 extending:2 completeness:6 ideally:1 christos:1 daskalakis:5 hybrid:1 field:2 valid:14 mathematics:6 rt:14 separate:1 vertex:10 a1:2 important:7 bounded:4 building:2 subdivision:2 acyclic:1 adam:1 starting:1 original:6 ptl:13 consider:16 pointing:1 cooperative:11 talks:1 follow:1 research:11 reasoning:1 ty:1 cournot:1 equivalence:3 tl:1 program:7 tj:4 preserved:1 th:7 nodes:23 presentation:1 activities:1 worse:1 straightforward:1 very:3 corollary:13 sons:1 worst:2 decide:1 difference:2 condition:7 steve:1 17th:1 list:1 applicable:1 t1:1 large:6 smale:2 rj:1 small:4 ten:1 vl1:7 zero:24 design:6 perspective:1 further:4 subscripts:1 stood:1 sub:2 section:28 version:6 method:3 contrast:1 klee:1 component:9 answers:1 immorlica:1 b2l:6 b2k:1 strong:1 equations:1 search:44 colored:3 inspired:2 allows:1 simply:1 social:1 action:2 inspires:1 via:1 followed:1 family:4 vik:14 establish:4 takes:2 probabilities:1 contains:5 automata:1 ψi:2 ψl:1 hirsch:2 iteratively:3 more:20 initiated:2 zeitschrift:1 leonard:1 instrumental:1 vi1:28 particular:9 known:5 foundations:5 none:2 science:13 equation:32 r3:1 coalition:1 remain:1 nine:1 dem:1 strategies:14 abbildung:1 specialized:1 history:1 f1:4 f2:3 f3:1 f4:1 challenging:1 stated:1 suggestions:1 states:1 contradicts:14 numbers:5 respective:1 recursive:1 imre:1 beweis:1 breaking:1 maps:1 fp:2 simplicity:1 wiley:1 derived:3 mapping:10 evaluations:2 response:2 short:1 fundamental:3 playing:1 lynch:1 help:4 ith:13 hierarchy:1 developed:5 soon:1 trade:1 vickrey:1 attitude:1 paper:13 existence:10 itr:1 its:19 subinterval:2 solving:2 absence:1 bypass:1 might:8 yi:7 yk:1 good:2 motivated:4 gadget:4 ye:3 framework:2 tsinghua:2 37th:1 harrow:1 easily:1 fully:10 2d:5 2f:1 inequality:6 2b:4 2c:2 2l:23 found:10 2n:14 polynomially:2 2i:5 referred:4 everyone:1 hard:19 reduce:7 idea:1 connect:2 todd:1 quantum:2 beyond:1 solved:3 since:27 denotes:7 dominated:1 denoted:6 evaluation:1 difficulty:2 imagine:1 ask:1 asi:2 beginning:1 definition:22 pairs:1 rium:1 exponentially:2 circuit:62 consequence:1 fallen:1 ding:1 probability:6 encoding:4 number:32 instances:1 done:3 construct:13 perturbation:15 introduction:1 least:6 wonderful:1 gilboa:2 statement:20 scheme:6 smoothed:60 store:1 shifted:1 qlt:13 part:18 authors:1 translation:1 believe:1 kakutani:3 18m:1 toward:1 deciding:2 karp:1 strengthen:1 randomly:1 gale:1 categorized:1 paths:2 wilson:1 built:2 depending:2 k2:6 k1:4 build:7 finding:32 play:1 english:1 unused:10 most:19 sponsored:1 plan:1 significant:1 sandholm:2 probabilistic:2 appear:1 karmarkar:2 clear:2 sometimes:1 cover:2 kl:1 kp:17 latest:1 microsoft:1 rtg:1 ravi:1 v12:1 pennies:1 relation:3 carefully:1 find:18 impact:1 computability:1 simulating:1 parameters:10 formulation:1 subsection:1 unilaterally:1 factor:4 morgenstern:3 columns:5 his:8 invoke:1 meanwhile:1 express:1 fastest:1 competing:1 during:1 arxiv:3 common:2 inefficient:3 annalen:2 set:26 toone:1 intelligence:2 see:7 individual:2 cleverly:1 close:1 theoretic:3 paul:1 visiting:2 please:2 icalp:1 smallest:2 various:5 conditions:9 15th:1 recently:3 complementary:3 attention:1 both:13 improved:3 annual:12 connection:3 context:3 whole:2 arbitrarily:1 point:81 simple:2 dimensional:25 agents:2 ensures:1 described:1 transformations:2 pt:35 due:3 strategy:4 reduction:27 pd:21 pk:12 ph:1 pi:32 pn:14 pl:1 pm:6 surjective:1 remark:2 gap:2 understand:1 imax:5 prices:2 assigning:1 hardness:5 p2:1 p1:3 exponential:7 expanded:1 evaluated:4 while:8 optimization:4 behavior:3 guide:1 loop:7 computed:7 vectors:14 century:4 averaging:1 von:12 itself:2 rik:1 triple:24 ready:1 rig:2 grant:2 lengths:1 belong:1 shorter:1 grand:1 resulting:2 higher:1 literature:1 assignment:14 domains:1 levels:1 uses:1 recent:2 lower:5 analysis:21 concrete:2 organization:1 competitive:2 abbreviation:1 shape:2 intervals:2 questions:6 alternative:2 contradicting:7 stengel:2 readers:2 guaranteed:1 47th:1 theorem:55 input:33 guarantees:3 solvable:6 transformation:2 generalized:43 march:2 loss:4 evaluate:1 capacities:1 game:112 integer:27 bit:8 helpful:1 shaped:1 follows:11 zemel:2 continue:1 popular:1 essential:2 mathematical:8 33rd:3 neumann:9 45th:1 creation:1 some:28 back:1 economic:7 pricing:2 b2:7 b3:9 savage:1 scale:1 describing:2 decision:1 though:1 connecting:1 sperner:9 kearns:1 bi:19 bj:7 bk:1 bu:1 bv:2 bs:5 integers:8 constraint:8 completing:1 extensions:3 consequently:1 block:3 computational:13 into:19 within:4 nsf:2 rows:5 classical:4 question:8 fast:1 u2:2 conceivable:1 relaxed:1 bǫ:47 properly:5 line:11 posted:1 directed:7 zhu:1 circuits:16 ut:3 access:2 up:4 us:16 ur:2 maturity:1 ui:3 uj:5 similar:8 called:5 uber:1 associated:1 mindful:1 defined:22 specified:5 influence:1 defines:5 department:3 arithmetic:6 nice:1 varadarajan:1 problems:46 meaning:1 allowing:1 fisher:1 mathematischen:1 structure:5 independently:1 correlated:1 implies:24 algorithm:62 required:1 notion:9 implied:1 broad:1 inaccuracy:1 nash:187 requires:4 avoid:1 evenly:1 gt:2 minors:1 results:15 illustrated:1 proposition:7 classic:1 broader:1 edu:2 go:1 query:5 gm:7 contributions:1 issues:1 equivalences:1 compact:1 pˆi:1 deterministic:1 factoring:2 languages:1 critical:1 stable:1 include:1 khachiyan:3 mehta:6 nσ:6 g3:2 g2:2 g1:2 implicitly:2 putting:1 sssr:1 matrices:20 vlt:24 vavasis:3 underscores:1 spirakis:1 zm:2 zn:5 smaller:1 zi:5 zd:16 l2k:20 fold:1 imply:6 insertion:1 zt:1 odd:1 index:3 expressed:1 3t:8 cell:3 3n:3 3m:7 3b:1 body:2 justification:1 led:1 degree:7 exchange:4 respectively:15 desired:1 kelner:2 consideration:1 z1:5 z2:1 settling:2 great:2 ellipsoid:3 technical:3 larger:2 contradiction:8 survey:1 implement:1 makes:2 payoffs:11 examining:1 named:2 formulated:1 apr:1 win:5 boolean:8 summation:1 apply:6 standing:2 use:28 usa:2 remains:4 next:11 few:2 exhaustive:1 jonathan:1 condon:1 formally:1 becomes:2 normalized:11 informally:1 iii:1 challenge:1 emerson:1 industrial:1 meet:2 closing:1 proof:63 beijing:2 weaker:1 process:1 high:11 effectively:1 assumptions:1 notation:3 holds:1 pair:19 instead:1 profile:4 blocks:1 collection:6 multiplication:1 efficiently:2 vempala:3 computations:1 doklady:1 asserts:3 pardo:1 selman:1 02n:2 mentioned:1 brittle:1 chosen:4 li:6 meantime:1 choose:1 greater:1 dan:1 inductively:1 subtraction:1 microeconomic:1 realize:1 successor:1 university:8 sufficiently:1 magnitude:10 l2:9 l3:9 l1:14 constraints:10 subset:1 inputs:1 doing:1 related:1 society:1 computable:5 measure:1 our:65 special:8 out:8 matrix:11 frontier:2 suffices:4 red:11 8k:24 diagonal:2 attending:1 shub:2 york:1 spielman:6 saberi:2 geometry:1 could:2 feasible:1 counterpart:1 length:3 4th:2 adrian:1 hence:10 scarf:3 hypercubes:2 randomized:8 precisely:2 management:1 πf:3 unknown:1 system:2 relations:1 their:18 intermediate:1 siam:5 behaved:4 denominators:1 interests:1 tuple:1 academy:1 completed:3 exactly:1 simulate:3 july:1 theorie:1 completes:1 distinguishes:1 depends:1 abstracts:1 distinguished:1 goldberg:4 unlikely:3 need:7 clearly:2 viewed:2 min:22 able:2 instance:13 concerns:1 subintervals:2 singh:1 subject:2 lipton:6 gζ:12 unless:10 who:3 definitions:2 segment:1 class:14 markakis:4 enumerating:1 stronger:1 proceedings:23 deng:11 fact:16 supported:17 terminate:2 ki:2 decade:3 coloring:33 based:8 should:1 lemma:73 borgwardt:2 he:4 local:1 equilibrium:154 cube:2 handle:1 joint:1 ones:2 words:4 compute:18 years:1 shaping:1 processes:1 qt:3 calling:3 sha:1 reif:2 nauk:1 qd:5 contain:7 qi:6 qk:9 cycles:3 ql:6 view:4 multiplying:1 constructing:1 exists:37 national:4 differs:1 computer:14 enhanced:1 triples:3 gmail:1 pattern:2 teng:14 state:4 wn:14 progress:3 boundary:6 email:3 implementing:1 key:7 problem:61 jon:1 taking:1 equal:6 april:1 auctions:1 otherwise:12 ck:1 ci:2 cn:1 conclude:1 cb:1 ca:1 cs:4 cp:2 ct:2 kalai:1 addition:9 abhandlungen:1 define:23 describe:1 corresponding:1 scalars:1 sufficient:3 royer:1 assert:1 hamburg:1 c2:4 c1:6 present:2 multi:1 novel:1 unlike:1 harder:4 value:6 choices:4 will:37 discoveries:1 vd:2 almost:1 vi:82 vj:5 polynomialtime:1 thus:41 helped:1 vs:1 vt:4 optimistic:1 roman:5 member:3 largest:1 colloquium:4 finite:17 mannigfaltigkeiten:1 oracles:1 practice:1 http:1 v1:78 v2:63 v3:5 v4:2 frequently:1 identity:1 off:2 center:2 0n:7 modeled:2 well:32 mathematische:2 sets:1 soviet:1 snake:3 obtain:11 26m:1 rest:1 rapid:1 adr:27 adp:4 density:1 smith:2 mathematically:3 extends:4 bichromatic:1 increases:1 press:3 immediately:2 insert:16 necessary:4 like:7 success:1 sized:2 roth:1 lose:5 become:4 accessible:1 parity:3 because:16 grids:1 sequence:7 econometrica:1 choosing:4 convex:4 proofs:10 feder:1 lead:1 demonstrates:1 breakthroughs:1 sundaram:1 does:17 assuming:3 hinder:1 noise:1 journal:10 11n:3 host:1 simplex:68 although:1 approximating:4 gained:1 about:16 carried:1 extension:4 column:17 freedom:1 surge:1 dependency:1 a2:2 introduced:8 tardos:1 own:1 letters:5 limi:1 functional:1 fσ:2 utility:1 inner:1 terminates:2 crucially:1 2m:7 naturally:2 function:18 shang:2 but:8 volume:1 hk:1 construction:19 gain:2 partially:1 challenges:2 made:3 wise:1 whether:10 wish:1 3k:4 bijectively:1 below:4 demonstrate:1 distribution:1 universal:1 denote:34 periods:1 relates:1 inc:1 functions:8 other:28 details:2 symposium:14 repeat:1 inherently:1 precision:3 else:11 rajaraman:1 u1:2 rule:1 littman:1 4k:7 4i:12 4b:22 vj1:3 |
0704.1679.txt |@word limited:1 consolidated:1 magnetic:45 four:3 entropy:2 consists:2 γs:17 under:1 γb:7 downstream:7 dell:1 figs:1 summarized:1 affect:2 solution:17 admissible:1 vector:1 mizuta:2 munz:1 degeneracy:1 force:1 estimates:1 direct:5 approximation:7 surrounding:2 likely:1 tangential:10 qualitatively:1 implemented:1 even:6 errors:3 specification:1 selected:3 supplied:1 above:3 new:9 increasing:4 shocks:11 pioneering:1 bi:1 mechanisms:1 residual:2 here:7 pluto:1 refinement:1 active:1 path:2 logarithmic:2 obtained:5 study:4 generale:1 adopting:3 suitable:3 changes:2 cancellation:10 yamada:1 raphson:2 highly:3 neutrons:1 a23:1 neutrino:1 total:6 narayan:6 derivatives:3 would:1 negative:1 discrepancies:1 therefore:1 type:2 mckinney:25 berlin:1 separates:1 hole:6 hold:2 must:10 me:2 springer:1 ma:1 mb:3 mn:1 cancellations:5 mk:3 temperatures:8 root:2 example:3 give:3 relativistic:60 involve:4 end:3 provide:1 machine:1 how:2 hot:9 ordinary:1 description:2 transforming:1 thermodynamic:3 earlier:2 vy0:1 lab:1 lax:1 law:23 effective:1 complexity:1 algorithms:2 keeps:4 order:10 wind:2 operations:1 over:3 upstream:2 vary:2 satisfied:1 satisfies:1 before:1 somewhere:1 exhibits:1 better:5 production:3 fig:19 inaf:1 versus:4 eventually:3 combination:1 effects:6 they:1 invariants:1 reasonably:1 routines:1 toroidal:1 each:2 schemes:1 vb2:2 magneto:10 principles:1 substantially:3 laboratory:1 rezzolla:1 crucial:1 particles:1 fellowship:1 rb:1 reader:2 forth:2 linear:4 little:1 free:4 formation:3 estimate:3 degeneracies:1 starts:2 cosmic:2 eoss:3 loud:1 speeds:5 already:1 features:1 restrict:2 spinning:1 relations:2 clarity:1 oneparameter:1 similarly:3 top:12 approximately:1 needed:1 accretion:17 observations:1 inflow:1 serve:1 injected:1 begins:1 showed:3 matteo:2 second:6 matter:1 rewrite:1 modern:1 seen:2 seem:2 ray:4 strength:3 latter:1 2006a:2 2006b:1 circles:1 blue:1 shall:1 popham:2 involving:1 culminates:1 flow:10 points:2 principle:1 giacomazzo:1 massaglia:3 sakai:1 radii:5 radio:2 solutions:3 just:1 implementation:2 thermodynamically:1 anile:2 do:2 mixture:1 dh:2 di:4 df:2 de:6 fluid:9 dv:1 dw:17 ds:1 dp:3 fields:9 method:6 discs:1 analytical:7 tsinganos:1 reference:3 evolving:2 observed:3 depends:4 radius:5 projections:1 discussions:1 hammer:1 subject:2 c2s:2 propagates:3 pressures:1 simplest:1 drawn:2 previous:7 approach:1 postshock:2 terms:5 positron:1 modify:2 weak:2 however:6 harvard:3 extent:1 faced:1 received:1 cos:2 met:1 mildly:2 exceeds:1 regarded:1 height:1 applicability:1 panel:7 engines:1 l21:1 three:8 been:15 much:1 expected:6 ann:1 quantities:20 xxx:1 uncommon:1 applied:1 exception:1 tanh:1 near:4 aid:2 balance:1 elaborate:1 procedure:2 a20:1 a21:1 a22:1 cane:1 a24:2 a25:1 a26:1 a27:1 a28:1 characterize:1 cone:1 conf:1 ib:4 confirmed:2 cumulative:1 complex:1 potentially:2 avoids:7 several:5 grows:2 evolve:3 numerical:24 hand:3 hydrodynamics:2 christodoulou:1 cycle:1 prescribed:1 weakly:1 academic:1 contact:1 mathews:3 possesses:1 left:19 proposed:4 3p2:1 newton:4 starting:3 farther:1 facts:1 rarefactions:1 ease:1 strains:1 emphasis:1 5h:1 plasma:9 insensitive:1 koide:4 possible:1 interior:1 replace:1 advanced:1 occurring:1 generated:1 specie:2 specific:16 remind:1 arbitrary:2 disks:4 separately:1 undisturbed:1 bottom:11 investigations:1 comments:1 substitution:1 post:6 super:1 properties:6 proceed:1 kinematical:6 o:1 done:1 efforts:1 slightly:4 considerations:4 primitive:9 thinner:1 presence:4 obtaining:1 sol:1 down:1 lies:1 right:16 methods:7 compression:8 initial:7 approximate:2 collimated:1 conservation:4 way:2 astrophysics:4 was:4 head:2 medium:4 form:10 becoming:1 differences:3 heat:5 mb2:2 absent:1 mineshige:2 maximum:2 panels:16 examples:1 harten:1 proved:1 computing:2 abstract:1 proven:1 evidence:1 conserved:2 dθ:1 simulations:6 distributions:2 dγ:1 physical:3 leer:1 dotted:7 no:4 whereas:4 generally:1 vanishes:1 tesileanu:1 role:6 test:6 optically:1 a14:2 a17:2 a16:1 a11:1 a10:1 γeq:8 a12:1 models:20 a19:1 a18:1 hydromagnetic:2 variable:10 coronae:2 faster:6 dχ:2 interval:3 together:1 dρ:2 time:10 gammie:9 laws:3 decelerate:1 chain:1 particular:2 focus:1 leads:6 computation:3 morphology:1 viceversa:1 certainly:1 inverse:1 depend:7 environment:1 finally:2 promoting:1 marks:1 circumstances:1 advantage:2 orthogonal:2 choice:6 blast:7 riemann:3 solves:1 presented:3 did:1 anisotropy:1 henri:1 solved:3 upper:1 work:7 slower:5 trend:1 sign:2 cost:1 initialized:1 t2m:2 appear:1 uniform:1 komissarov:5 appeal:1 satisfy:1 understanding:1 address:2 alone:2 teaches:1 appears:2 change:2 delimited:1 pietro:1 institute:2 studied:5 step:1 commonly:3 hydrostatic:1 usually:2 conveniently:2 studies:3 plotted:3 useful:6 extra:1 merely:1 logical:1 ipt:1 working:4 sake:1 positive:4 scenarios:1 explicitly:1 prep:1 introducing:1 neglected:1 validity:3 appendix:5 cases:6 logarithm:1 rotational:2 avoiding:1 modified:2 reviews:3 labeled:1 values:15 l125:1 growing:3 numbers:2 figure:16 predict:1 topic:4 allowed:1 unphysical:1 verlag:1 rays:1 pino:1 s2:3 write:2 fourth:2 parameter:2 map:1 may:17 overall:1 applications:1 mignone:17 supersonic:2 natural:1 outline:2 explicit:2 yielding:3 corona:10 st:1 omez:2 accelerated:1 so:9 representation:2 words:2 indeed:5 soc:1 osservatorio:1 course:3 differs:2 cold:14 still:3 equiv:1 derive:1 thank:1 interesting:2 toro:1 rarefaction:1 decreases:1 offers:3 subtractive:1 mail:1 main:2 decades:1 non:30 noh:1 processes:1 half:1 now:2 discuss:4 nor:1 matched:1 term:2 january:1 drop:1 kerr:8 realistic:4 instability:1 entirely:1 domain:1 square:2 significantly:1 misner:1 approximates:2 astrophysical:7 entering:1 ez:4 wavelength:1 avoided:3 eq:17 living:1 shown:8 space:2 furthermore:1 increase:2 replacing:1 investigation:1 correct:2 shows:9 after:1 theory:7 divergence:1 fisica:1 quite:2 complicated:1 transition:2 iterative:2 motion:5 place:2 massive:1 βb:1 2005a:3 first:6 variables:4 comprised:1 simplified:1 fast:8 directly:5 angular:3 computed:7 given:17 eos:115 indicate:1 speaking:1 gives:3 neutronization:1 mostly:2 accurately:1 transverse:2 than:22 wide:1 third:1 l45:1 favors:1 require:2 future:4 were:4 pre:7 san:1 generality:1 topics:1 ant:1 sauty:1 recover:2 any:8 efficient:1 shocked:5 note:5 ideal:13 take:1 l119:1 converged:1 modulus:1 torinese:1 begin:1 multiple:2 opposite:1 price:1 decreasing:1 neutrinos:3 falls:1 printed:1 falle:2 analytically:3 magnetohydrodynamics:3 latex:1 especially:1 nonlinearity:1 considered:2 adopt:1 ferrari:1 mri:1 subsequent:1 quantity:4 show:5 londrillo:1 slow:4 ratio:21 written:2 only:13 going:1 black:13 closed:1 morphological:4 expectation:2 cannot:3 pendence:1 invariant:1 differentiating:1 closure:2 regarding:1 krolik:2 giuria:1 summary:1 predicted:1 reveals:1 burst:2 physically:1 j2:2 relative:3 namely:2 eliminating:1 invoked:1 extragalactic:1 αy:5 αx:10 review:4 definite:1 behind:4 diamonds:1 across:9 notice:2 vertical:1 jets:11 outflows:1 many:2 region:7 propagation:17 expression:8 comes:1 afterwards:1 pol:5 cancel:1 associated:2 uchida:1 considering:1 poloidal:2 mart:9 direction:1 formed:1 irrelevant:1 case:22 hughes:6 nishikawa:2 profiles:3 cast:1 investigating:1 pertain:1 orientation:3 chattopadhyay:1 middle:7 ambient:5 binary:1 different:16 april:2 reminded:1 same:14 poincar:1 arguments:1 regime:2 events:1 noble:5 jeffrey:2 extended:1 trivially:1 driven:2 changing:1 bucciantini:1 relies:1 threaded:1 largely:1 onedimensional:2 polytropic:6 severe:1 without:3 solve:6 components:5 termination:1 model:12 binaries:1 dimension:1 being:7 when:21 rest:5 aspect:2 differentiation:2 speed:15 seems:1 setting:1 lett:1 extensive:1 momentum:8 real:1 aspects:2 around:7 astronomico:1 confines:1 grid:2 mon:1 confined:2 using:23 sume:1 accepted:2 fryer:1 particle:2 reduces:2 velocities:21 latters:1 either:1 stationary:1 reduced:1 specifies:2 a15:1 synge:5 specified:3 provided:1 a13:1 confirm:1 tube:2 fluids:3 conservative:8 putten:2 propagating:1 bessel:2 scheck:2 reasonable:1 equivalent:4 zanna:2 ratios:3 zanni:1 conducting:1 cavities:1 choi:1 meaning:3 greatly:1 sensitively:1 cambridge:3 decreased:1 inclusion:2 numerically:4 references:2 inverting:1 determine:2 heated:1 nowadays:1 log:2 area:1 strictly:1 there:3 start:1 low:4 stars:1 series:1 conciseness:1 mnras:9 applying:1 regimes:3 detailed:1 definitions:1 am:2 general:11 file:1 gradients:1 again:1 rosen:1 depth:1 field:26 valid:1 spatial:1 heats:2 requested:1 perpendicular:4 godunov:2 a1:4 a3:4 important:3 a5:2 peak:1 a7:3 a6:4 a9:2 a8:2 nuclei:2 calls:2 curve:2 mass:12 joins:1 original:3 consider:5 splitting:1 scalar:1 disc:2 follow:1 expressions:11 disk:13 photodisintegration:2 causes:1 re:2 tail:1 tm:39 th:1 sound:10 mpb:3 straightforward:2 very:6 roe:1 l5:1 fan:1 difference:1 condition:5 broderick:1 t2:1 large:10 small:8 woosley:1 grateful:1 appearance:1 b20:2 discriminated:1 rate:3 further:1 what:1 nonlinear:5 sub:1 witnessed:1 section:5 thickness:1 version:1 avenues:1 acknowledgments:1 contrast:3 outgoing:1 full:1 component:3 cylindrical:2 strong:4 equations:19 solid:6 ahead:2 losses:1 allows:6 prior:1 stiffness:1 action:2 elongated:2 uniquely:1 via:1 family:1 requiring:1 research:1 takes:3 quasi:1 comparing:1 widens:1 taken:1 more:35 company:1 varying:1 known:2 taub:6 evolves:1 keeping:3 science:2 equation:37 protons:2 centrifugal:1 del:2 evolved:2 hawley:2 compare:1 challenging:1 share:1 states:4 pushed:1 attain:1 arise:2 sharp:1 axis:1 needs:1 goal:1 rather:6 maps:1 ryu:2 galactic:2 derived:3 plane:1 waves:16 short:1 resemble:1 negligible:1 specifying:1 fundamental:3 cs1:1 held:1 thermal:7 paper:4 through:6 existence:1 kinetic:3 its:3 roots:1 style:1 rapidly:2 energies:1 solving:2 absence:1 systems:1 initializing:1 might:2 alter:1 motivated:1 number:7 tchekhovskoy:1 easily:2 2w:7 2p:1 always:5 2e:1 inequality:4 found:4 universit:1 2h:1 characterized:1 investigators:1 harm:2 generation:1 energy:26 solvers:1 investigated:4 obtains:1 w2:1 since:13 denotes:1 dominated:1 aligned:2 evaluation:1 occurs:1 asp:1 guess:3 reason:2 base:1 ask:1 rises:1 beginning:1 rewritten:1 definition:2 pairs:1 thread:1 conducted:1 consequence:1 omits:1 dipartimento:1 simply:1 miralles:1 reflected:2 inhibits:1 detaches:1 fluxes:3 differ:1 temperature:12 jet:31 introduction:1 leading:3 moderately:2 calculations:3 scheme:14 recovered:2 optical:1 diffusion:1 albeit:1 kind:1 double:2 determined:1 contrary:1 treated:1 vx0:1 normal:3 comput:1 quasars:1 lie:1 zero:3 depending:1 self:1 k3:2 majority:1 internal:15 generalized:1 analogy:1 play:2 towards:1 electric:1 measures:1 reach:2 most:6 significant:2 mach:11 kb:2 deviations:2 torus:1 saturate:1 electrons:2 velocity:28 physics:3 relation:1 font:1 find:1 parameters:2 duncan:5 merges:1 factor:10 bernstein:2 ultrarelativistic:9 his:1 dominant:1 dependent:1 express:2 closely:4 during:1 arxiv:1 investigate:2 5p:2 set:4 ser:1 achieved:2 iteration:2 see:8 individual:2 injecting:1 close:2 mutel:1 gravitation:1 formers:1 superseded:1 uα:3 fans:1 various:1 villiers:3 conditions:5 recently:2 initially:1 attention:2 vanishing:4 piran:1 relying:1 observer:1 both:6 barely:1 sensitive:1 improves:1 context:3 aloy:7 finds:3 arbitrarily:1 bodo:5 point:2 simple:4 corresponds:1 dimensional:13 regulated:1 bα:1 consuming:2 described:4 publishing:1 pt:1 due:7 pb:2 pj:1 ph:4 referee:1 wheeler:1 gas:29 precision:2 plasmas:1 k2:2 p0:1 p1:1 indefinitely:1 while:4 behavior:10 error:1 guide:2 apjs:3 apjl:5 itself:1 confining:1 bow:2 definitive:1 overlayed:1 italy:2 widely:1 resulting:2 composition:2 higher:9 used:10 comprehensive:1 flows:8 levels:2 moving:1 robust:1 recent:3 lower:5 task:1 consistency:2 shape:2 questions:1 regardless:1 alternative:2 letting:1 conclusions:3 relevance:3 guarantees:1 finder:1 showing:1 follows:4 adiabatic:3 ignore:1 flux:6 yields:4 popular:1 qualitative:1 mathematical:1 pertaining:1 often:2 begelman:1 vlahakis:1 some:8 back:1 understood:2 b1:2 b2:8 pronounced:1 scale:3 affects:2 integration:8 per:2 tends:3 inserting:1 bb:1 jumps:2 agreement:1 bk:3 restrictive:1 bv:1 plots:3 relating:3 bx:2 between:6 bz:6 constraint:1 plewa:1 range:1 consequently:2 gamma:2 seeing:1 computational:2 into:8 within:2 question:4 long:2 considerably:1 rees:1 properly:6 repeatedly:1 line:4 considerable:2 up:5 theoretical:2 similar:18 constant:32 defined:3 influence:2 single:6 codes:4 dashed:5 grb:2 jcm:2 confine:1 hydrodynamical:1 energetic:1 problems:6 develops:4 structure:3 perna:1 required:3 holes:7 equivalently:1 departs:1 attaining:1 requires:3 once:3 magnetically:1 code:2 partial:2 results:16 existing:1 illustrated:1 edu:1 issues:2 compact:1 gases:3 breach:1 include:1 indicating:2 garden:1 outside:2 wave:7 electron:3 shock:62 configurations:1 smaller:5 cfa:2 jump:5 traveling:1 dynamics:3 zamo:3 index:5 giving:1 3p:1 3w:1 expressed:1 henceforth:4 consistently:2 3h:1 poles:1 led:1 degree:1 respectively:15 spacing:1 suprathermal:1 following:1 objects:1 sinh:1 convert:2 dividing:1 involved:1 larger:6 suggests:1 survey:1 makes:2 involves:3 composed:1 formulated:3 apr:1 apj:14 addressed:1 decrease:1 use:9 asymptotic:2 remains:3 next:2 few:2 jonathan:1 becomes:3 sharply:1 account:2 ρb:1 ρh:2 ρm:1 assumptions:1 thin:1 fulfill:1 bent:1 process:5 thermally:1 high:6 effectively:2 lorentz:13 sought:1 torino:2 regions:2 located:1 instead:1 sin:3 sim:1 superluminal:1 inst:1 computations:6 light:1 lines:10 correspond:3 allow:1 subsequently:1 holds:2 saturates:1 including:3 mentioned:1 perfect:6 inlet:1 chosen:1 relativity:3 previously:3 choose:1 derivative:3 defining:1 freeman:1 meliani:2 material:4 front:9 february:1 university:2 sufficiently:1 magnitude:1 cocoon:5 related:4 inverted:3 static:1 measure:1 separating:1 our:12 transitions:2 special:3 out:1 socalled:1 induction:1 red:1 interactions:2 discontinuity:5 galaxies:1 approaches:1 york:1 8p:2 interaction:2 could:1 times:2 counterpart:2 accurate:3 publication:1 unknown:2 behaves:3 system:3 adopted:3 their:2 intermediate:4 siam:1 perfectly:1 final:3 vigorous:6 completed:1 tacitly:1 dynamical:5 zones:3 holland:1 submitted:1 limiting:3 result:5 symmetries:1 thorne:1 need:1 clearly:1 acceleration:2 angle:7 sj:1 able:2 axisymmetric:4 instance:5 accuracy:3 mimics:1 propagate:2 znajek:2 subtracted:2 stronger:1 inde:1 snapshot:1 positivity:1 fact:1 text:1 supported:1 purely:4 debate:1 q1:1 q0:1 based:4 knowledge:1 should:6 achieve:1 equilibrium:3 slows:1 quantified:1 bear:1 beam:17 ones:2 marquina:1 aforementioned:1 gray:1 evolution:3 tolerance:1 hydrodynamic:1 2p0:1 requirement:1 constructing:1 catastrophic:14 frame:10 turbulent:4 hη:1 computes:1 conductivity:1 closer:2 pattern:1 state:37 correctly:1 enthalpies:1 neither:1 comparable:3 opening:5 importance:1 2pb:2 key:1 configuration:4 limits:8 taking:3 equal:4 fulfilled:2 etc:3 wt:2 blandford:3 strongly:3 relevant:3 co:1 coordinates:1 cs:1 respect:8 geometries:2 addition:2 decent:1 inertia:1 magnetized:24 slowly:2 oth:1 suggested:1 arises:1 corresponding:3 angles:1 astron:1 c3:1 c2:6 present:11 novel:1 contexts:1 harder:1 value:8 enthalpy:8 will:6 advisable:1 hardee:2 vb:3 examines:1 almost:1 vj:3 vk:2 thus:4 surface:4 positrons:2 vs:22 vt:3 vv:1 conical:1 radiation:1 cross:4 unity:1 largest:1 units:2 finite:1 practice:1 upon:5 effect:6 kohri:5 v1:1 v2:1 infinite:1 frequently:3 francisco:1 mech:1 center:1 nevertheless:1 colour:1 well:2 sets:1 position:3 magnetization:1 routinely:1 less:5 increasingly:1 proximity:2 obtain:4 uller:6 density:32 nonrelativistic:3 thermodynamics:4 developments:1 resolved:1 sonic:7 tests:1 increased:3 thicker:3 inversion:24 five:1 know:1 press:4 turbulence:7 2nd:1 prominent:3 loss:1 necessary:1 like:3 mhd:5 rmhd:10 become:3 soft:1 therein:1 because:2 classical:4 smoothly:2 discontinuities:1 phenomena:1 growth:1 choosing:1 convex:1 proper:2 transport:1 happens:1 lead:3 demonstrates:1 avoid:3 meier:2 does:7 assuming:1 slight:1 journal:1 lichnerowicz:2 pressure:36 although:6 worthy:1 simpler:1 deriving:1 carried:6 eqns:4 introduces:2 dependence:2 a2:4 introduced:5 a4:1 hirose:2 h2:3 h0:3 h1:3 attains:1 permits:1 van:3 additional:4 quadratic:3 inner:1 terminates:1 function:11 north:1 triggered:1 but:9 astro:5 repeated:1 hm:3 hb:1 highest:1 made:1 compute:1 evident:1 whether:1 wish:1 variations:1 placed:1 below:3 limit:21 problem:7 proceeds:1 grmhd:1 functions:6 compared:9 thermodynamical:9 percent:1 lately:1 other:6 details:2 branch:1 overwhelms:1 conclusion:1 repeat:1 astronomy:3 resolution:2 factors:2 rule:1 eddies:1 validation:1 |
0704.1680.txt |@word limited:2 comparatively:1 four:1 tensile:1 consists:3 localized:1 gillespie:1 calculate:3 segments:10 presents:1 under:13 4nm:1 updated:3 every:1 figs:1 summarized:1 affect:1 solution:4 vector:2 34s:1 ups:2 force:38 consistent:2 estimates:1 hata:1 likely:1 chen:2 10p:1 estimated:4 even:1 employ:3 interatomic:1 sj2:2 above:9 tips:4 increasing:1 coefficient:1 residual:1 here:6 atoms:10 reported:11 deposition:1 mer:3 represented:1 obtained:15 study:7 changed:1 circumferences:1 diameter:10 projection:1 plenum:1 highly:3 total:6 unit:4 plot:1 utsumi:1 would:2 hospital:1 bundles:1 negative:1 e0:5 m1:9 therefore:8 m2:2 type:4 separated:1 thermionic:5 hold:1 must:3 work:23 mj:1 dn1:7 emitters:9 anode:13 example:1 mz:3 wang:4 organized:1 indicates:4 damage:2 necessary:3 hot:2 ordinary:1 description:3 thermodynamic:2 after:1 minimized:1 hence:4 parallel:1 types:3 effective:5 summing:4 avouris:3 complexity:1 decreasing:1 vapor:1 order:7 over:17 vary:1 london:1 before:1 destroyed:1 fig:30 shear:3 them:1 affected:1 break:1 effects:15 they:7 structural:1 cathodes:12 oxygen:1 brightness:1 reasonable:1 each:12 side:5 financial:1 series:1 displacement:2 sinha:2 used:11 combining:3 extract:1 superscripts:1 quantify:1 particles:1 xu:1 barrier:1 voltages:3 free:3 standard:1 formation:5 estimate:1 chiral:1 r2:1 ata:1 ds2:12 ds1:10 silicon:1 incorporated:4 already:1 features:1 restrict:1 another:1 2a1:1 thick:1 electronic:7 okuyama:1 rewritten:2 similarly:1 eqs:12 twisted:2 approximately:1 ballistic:1 observations:2 nicolaescu:2 1d:8 5µm:1 toronto:1 distance:7 target:1 zero:1 preparation:2 iron:1 nakatani:1 rewrite:1 7th:1 manner:3 seen:2 ray:3 chem:2 stockli:4 latter:1 isolated:1 metallic:5 oriented:16 causing:2 forces:10 melnik:2 shall:1 kugler:1 prohibitive:1 impurities:1 boltzmann:1 diam:1 phase:1 lakhtakia:1 calculated:5 metal:3 inferred:1 inoue:1 points:1 tech:1 gusakov:1 random:8 stepping:1 keywords:1 d1:7 shaffer:1 explain:2 screening:3 adequate:1 do:1 cheng:1 dg:2 de:5 dc:1 degradation:25 despite:1 tungsten:1 dt:28 ds:6 dp:6 4πv:1 runs:2 volkov:1 bae:1 analytical:1 phenomenologically:3 observed:9 electrostatic:9 radius:15 result:1 discussions:2 best:1 techniques:2 shiraishi:2 approach:8 discovery:1 terms:1 nature:5 oxidation:1 modify:1 weak:1 however:15 wear:1 huang:3 modeling:9 cos:14 conclusions:1 heating:1 against:1 contribution:2 hwang:1 height:19 concluding:1 2ns:1 simplification:1 ropes:2 rinzler:2 chirality:1 three:8 been:14 much:2 expected:1 ann:1 life:1 carnahan:1 quantities:3 ani:5 encycl:1 θs:1 applied:7 originate:1 transformation:4 aim:1 near:2 abrupt:1 swnts:7 procedure:1 discretize:1 a21:5 a22:6 a23:3 phenomenological:1 iv:2 ii:9 cond:1 conf:1 cong:1 n2s:2 grown:9 containing:1 complex:2 dimensionless:1 several:8 i1:1 numerical:10 hand:3 kim:2 n21:1 normalization:1 prescribed:1 kept:1 academic:1 materials:4 simulated:13 proposed:4 reformation:1 previous:4 catalytic:1 zakharov:1 royal:1 weiss:1 spread:1 ikeda:1 fedorov:1 homogenizing:1 idealization:2 possible:1 possibly:2 background:1 imposed:1 modulus:1 performing:1 specific:1 steps:8 polymers:1 acad:1 dean:5 deal:1 successfully:1 deflection:4 escape:1 cnt:82 electromagnetic:1 normal:1 fol:1 yields:3 kiselev:2 meanings:1 2µm:3 2µa:1 lamps:1 filaments:1 post:1 manufacturing:1 properties:9 o:11 soc:1 presence:1 bound:2 down:2 methods:2 compression:1 support:1 initial:14 fraction:1 kinematics:2 was:16 forro:4 m0:1 martel:1 gaseous:3 form:10 simplifications:1 idealized:4 failure:6 incorporation:1 mtrl:1 bounds:5 devices:4 discretized:3 mth:1 simplifying:2 chatelain:5 shin:1 ln:20 abstract:1 simulations:8 adversely:2 distributions:1 physical:4 nm:6 no:1 zhong:1 whereas:5 generally:6 ny:1 nz:7 role:2 ns:3 nt:4 node:3 models:2 mechanical:4 uniformly:1 update:8 technol:3 discharge:1 yevtushenko:1 θ1j:2 faster:3 dψ:2 assume:6 interval:1 governed:1 stripping:2 time:39 n0:14 n1:26 n2:2 cincinnati:1 remarkable:1 roy:3 computation:4 morphology:1 aligned:7 depend:2 technique:1 finally:5 advantage:3 zhang:1 orientations:2 little:1 level:5 discrete:1 der:8 upper:4 plummer:1 insignificant:1 cost:1 bombardment:1 sinitsyn:3 favour:1 melt:1 uniform:23 current:67 axial:1 photoelectron:6 understanding:3 cos2:1 address:1 alone:1 along:13 change:1 studied:3 usually:4 studies:11 spatially:1 flexibility:1 handles:1 films:5 scope:1 introducing:1 distribution:20 employed:5 cases:2 flx:2 originally:1 cap:1 values:11 following:10 ma2:1 figure:14 chiu:1 sample:4 incremental:7 performed:1 council:1 1s:1 rays:1 θ2j:2 s2:15 divided:1 s0:2 chemical:2 till:1 displacements:4 fpz:2 mat:2 may:9 applications:1 produce:1 date:1 grow:1 stress:1 natural:1 6th:1 elongation:1 sj:2 si:28 representation:1 sg:2 superscript:1 gradual:5 stability:2 coll:2 experiments:4 statistical:1 still:1 ieee:1 derive:1 thank:1 decreases:12 forms:1 mail:1 main:1 outside:1 non:8 evolution:6 introduce:3 nanotechnol:1 now:4 nor:1 kern:1 significantly:1 ed:2 gaussian:1 ey:2 ex:5 ez:11 approximated:2 ev:9 eq:17 canada:4 shown:16 watanabe:1 factors:5 furthermore:1 lagrangian:1 increase:3 investigation:2 formula:1 shows:4 state:5 governing:1 complicated:1 remainder:1 realignment:1 rearrangements:1 motion:1 turn:1 fc:1 place:1 substrates:1 first:10 xj:1 symmetry:2 variables:1 xz:1 simplified:1 fast:4 array:4 open:1 size:4 given:13 sheet:2 response:4 indicate:3 constants:2 structures:1 friend:1 nordheim:8 way:1 mostly:1 erosion:1 accurately:1 centroids:4 huq:1 x2:1 than:3 wide:1 require:1 future:2 nanostructured:2 were:9 nozaki:1 correction:1 argument:1 mater:2 computationally:1 14µm:2 note:3 sciences:2 ideal:1 potential:2 take:2 performance:5 blunt:1 surf:4 opposite:1 fcx:1 ultramicroscopy:2 evaporate:1 an0:6 net:2 pair:3 especially:1 considered:13 average:20 later:1 steady:1 aerosol:2 quantity:2 drastically:1 show:3 timedependent:1 threshold:1 nucleation:11 slow:7 ratio:4 physisorption:1 conduction:1 histories:10 only:5 explicitly:1 get:3 mwnt:8 diamonds:2 cannot:1 regarding:1 summary:1 xmax:2 schatz:1 n10:1 n11:1 physically:1 maximum:8 relative:6 eliminating:2 concentric:1 jeong:1 surfaces:4 subsequent:1 diode:3 sites:1 pump:1 between:40 fermi:3 geometric:2 across:1 comp:2 jr:1 ji:2 analyzed:1 article:2 n1i:25 bandstructure:1 circumference:1 many:1 region:3 according:2 expression:1 among:3 characterization:2 period:2 constant:6 considering:1 combines:1 stretch:1 locally:1 zettl:1 direction:4 chan:1 nanotube:6 external:1 those:2 case:12 straighten:1 situation:1 planar:1 orientation:9 coupled:9 characteristics:7 sectional:2 strain:1 bias:27 7µm:1 binary:1 different:5 author:1 formulations:1 same:2 adsorption:1 regime:2 breakdown:2 investigated:1 ujx:2 minimize:1 solve:3 components:9 coordinate:10 model:33 being:1 tip:27 aspect:2 struct:1 seems:1 improvement:1 treatment:1 samples:1 extensive:1 fvs:4 real:2 decomposed:1 lowing:1 vacuum:7 using:14 mod:1 vertically:7 selfassembly:2 particle:1 iijima:2 thorpe:1 chamber:1 either:2 integrals:1 fully:1 output:4 reduced:3 cathode:18 ezi:1 respect:2 duration:1 nikolaev:1 tube:1 extensively:1 critical:6 moderate:1 assembly:2 buckling:1 power:2 comparison:3 choi:1 discussed:10 practical:2 act:1 burning:2 interfacing:1 2v1:2 references:1 determine:4 heated:3 area:12 assumed:11 there:10 los:2 low:2 lou:1 assumes:1 complete:1 nanotubes:6 implies:3 irreversible:1 longer:4 applying:3 ponderomotive:6 detailed:4 ad:1 certain:1 describe:1 general:1 formulation:1 corresponding:5 bishop:1 film:30 processed:1 ideally:2 field:69 neighbouring:2 spatial:1 forcing:2 perpendicular:1 a1:8 a0:2 a3:5 a2:10 controlled:3 curve:1 mass:2 evenly:1 original:1 represent:1 sci:11 consider:4 caused:1 splitting:1 swnt:3 causes:1 subjected:3 tu:1 removal:1 ti:14 nodes:3 fax:1 r12:12 very:3 resistance:1 ical:1 ultraviolet:3 difference:2 deformations:1 4ev:2 large:8 small:6 tel:1 ten:1 past:1 rate:11 design:3 displays:1 further:2 what:1 nonlinear:2 sub:1 section:3 frauenheim:1 thickness:1 waals:8 method:5 edited:1 full:1 component:2 behaviour:1 cylindrical:4 operating:1 directions:3 strong:1 equations:1 experience:1 amount:4 periodic:1 published:1 electromechanical:18 eˆ:7 followed:1 aimed:1 conventional:2 proceed:1 contains:1 charge:6 taken:5 refs:1 more:5 initiated:1 emission:49 particular:2 known:4 mounted:1 producing:1 cluster:20 science:2 equation:7 remain:1 history:7 challenging:1 neglected:1 states:3 collision:2 minimum:7 sense:1 species:1 axis:7 information:1 needs:1 acts:3 american:1 maps:1 fp:1 simplicity:2 hertel:1 fx:3 fz:3 wiley:1 derived:5 plane:2 iwata:1 fi:3 fl:1 uwaterloo:1 fn:1 jiang:1 parameterized:1 negligible:2 fundamental:1 help:5 developed:6 thermal:2 paper:12 through:2 kinetic:3 suffer:1 its:10 roots:2 highlighted:1 susceptible:1 lateral:6 solving:1 filip:3 systems:2 deformation:5 framework:2 walls:2 2r:1 always:1 presented:1 radial:1 found:6 2n:1 heavy:1 energy:9 expect:2 measurement:2 quantum:4 solved:2 since:4 induces:1 research:3 slepyan:1 acting:7 vcell:8 denoted:5 induced:2 occurs:2 reason:1 members:5 xie:1 ion:1 gotoh:2 conducted:1 exponentially:1 consequence:1 undergo:2 assign:1 feed:1 copper:1 major:1 number:19 defects:2 temperature:2 introduction:1 leading:1 acknowledgment:1 calculations:4 scheme:9 dfc:4 park:1 part:2 bower:1 favorable:1 ncn:3 authors:2 focusing:1 kind:2 charges:2 determined:2 toward:1 treated:3 electrodynamics:1 randomly:7 concentration:8 mial:1 self:2 majority:1 empirically:1 added:1 electric:19 chart:2 most:1 significant:4 position:1 measured:3 patterned:1 deviations:1 maier:1 coincides:2 electrons:8 exp:19 kt:13 tubes:3 lying:1 3v1:1 phenomenon:1 evaporation:1 degraded:2 mwnts:9 networks:1 stepwise:1 dividing:1 pavlovsky:1 kruit:1 hit:1 dependent:3 during:11 spikes:1 arxiv:1 investigate:1 set:7 currentvoltage:1 chemisorption:1 see:9 individual:7 sec:13 migration:1 close:3 forthcoming:2 positivity:1 currently:1 various:2 conditions:8 available:2 initially:1 attention:1 abruptly:1 both:1 reverse:1 nserc:1 sensitive:1 context:2 oshima:1 experimental:11 consume:2 point:5 simple:1 corresponds:1 hollow:1 dimensional:3 mahapatra:2 simply:1 pp:2 lattice:1 due:22 reduction:3 lett:12 subfigures:1 gas:8 modelling:4 gap:3 gao:2 understand:2 representative:2 systematic:2 thermoelectric:1 empirical:3 while:5 replaced:1 behavior:2 computed:3 lx2:5 lx1:5 jpn:1 xiao:2 rij:3 carbon:37 hexagonal:3 currents:4 lengths:1 widely:1 polyno:1 higher:3 development:1 literature:3 moment:6 aggregate:3 makes:1 analysis:1 solids:1 lim:3 parametric:2 distances:4 shape:1 atomic:2 world:1 alternative:1 obraztsov:2 kluwer:1 extracted:3 source:1 location:1 input:3 excited:1 euler:1 showing:1 gama:1 integer:1 pertinent:1 semi:2 follows:2 unstable:1 permittivity:2 mathematical:5 often:3 some:8 understood:1 b1:11 b2:8 b3:8 scale:10 describing:3 affects:1 measurements:1 integration:2 per:4 tends:2 tersoff:1 pee:1 ruoff:1 proc:3 run:2 processing:1 agreement:3 step:9 integers:1 simulation:3 range:5 computational:11 into:8 within:7 integral:1 elasticity:1 appropriate:1 proportional:1 diameters:2 long:2 fzj:2 analyze:1 monomers:1 atom:1 line:1 considerable:1 zhu:2 ux:11 uz:11 up:5 us:3 nagao:1 spectroscopy:1 uj:2 fluctuations:1 similar:3 desorb:1 associated:2 defined:4 flow:7 influence:5 metals:3 engineering:2 formalism:3 defines:3 occasional:1 application:1 electrical:2 department:2 b18:1 elements:1 calculating:2 meaning:2 ago:2 methodologies:1 physics:3 phonon:1 na1:1 failures:1 joining:1 requires:1 once:2 illustrates:1 results:10 cobalt:1 contributions:1 issues:1 gases:2 monomer:1 σs1:1 excluded:1 stable:1 walled:3 deflections:5 wave:1 wilfrid:1 electron:15 matsuda:1 ishikawa:1 categories:1 entire:1 12µm:3 fewer:1 dealt:2 concluded:2 smaller:2 smalley:1 dynamics:1 friedlander:1 scientific:1 plays:1 fine:1 expressed:9 cell:29 collins:1 3e:1 lee:5 respectively:12 spacing:18 desired:2 focused:1 consideration:2 parameters:4 involved:1 larger:1 resulting:3 spatio:1 involves:2 formulated:1 scales:2 apr:1 decrease:2 apply:1 use:2 usa:2 remains:1 next:5 process:7 themselves:1 westerberg:1 becomes:2 normalized:1 saito:1 iii:4 account:2 integrating:1 tunnel:1 electrodynamic:1 when:12 ρp:2 stabilizes:1 thin:22 bent:1 desorption:1 calculation:6 high:17 effectively:2 lorentz:5 tan:2 varied:1 hinders:1 arrangement:3 varies:8 instead:1 sin:11 tension:4 peeling:1 si2:3 element:1 allow:1 subsequently:2 s1:9 lz1:5 lz2:5 produced:1 including:1 write:3 longitudinal:4 decay:6 chosen:1 temporal:1 estimating:1 resistively:2 clusters:18 nanosci:1 lz:5 greater:1 bernoulli:1 dan:2 material:2 university:2 2ev:2 identified:1 sufficiently:2 magnitude:3 constraints:1 homogeneous:1 chung:2 related:6 decays:1 measure:1 our:3 shearing:1 out:4 matt:1 matrix:1 res:1 tsuji:1 rev:6 takakura:1 ren:1 rel:1 ref:2 interactions:3 dmax:2 interaction:9 waterloo:2 geometry:12 itoh:2 shells:1 times:1 length:14 vac:3 barriers:1 humphrey:1 microscopes:1 randomized:3 system:13 adopted:1 realistically:1 their:12 appl:18 nilsson:2 multiphysics:4 exactly:1 simulate:2 crosssection:1 july:2 steel:1 appealing:1 fluctuation:3 curves:1 fail:1 unlikely:1 need:4 curved:3 clearly:1 she:1 angle:11 physique:1 mechanism:5 contact:1 fxj:2 schematically:1 centre:1 walkup:1 preliminary:2 device:17 segment:13 neighboring:14 looked:1 fowler:8 deng:1 fact:2 vacancy:1 12s:1 q1:2 q2:2 based:11 colbert:1 terminal:1 reactive:1 molecules:3 tune:1 emitting:3 anneal:1 local:4 equilibrium:1 overall:3 beam:3 takahashi:1 liu:1 processes:1 substrate:16 densities:1 adsorbates:2 differential:2 hydrodynamic:4 contain:1 view:5 nitrogen:1 variations:1 geometrically:1 conductivity:1 tend:1 xray:1 written:5 graphite:1 neither:1 publishers:2 comparable:1 emitted:3 key:1 configuration:5 emitter:3 taking:1 equal:2 attributed:3 etc:3 figures:1 otherwise:1 wall:5 ca:1 environments:1 m10:2 cx:1 deflected:1 table:2 geometries:1 addition:2 nickel:1 m1i:3 angles:5 decreased:2 c2:5 c1:7 present:20 multi:3 cvs:4 value:9 promotes:1 will:8 cvd:4 ultra:2 layer:3 almost:2 vj:2 thus:3 micrometer:1 surface:22 4c1:1 arrangements:1 nanotech:1 lifetime:6 reff:1 radiation:1 cross:2 member:2 parts:2 schematic:4 finite:3 difficult:2 practice:1 upon:1 effect:10 v1:3 πb2:1 single:3 mech:1 center:1 nevertheless:1 modeled:1 well:4 hafner:1 sets:1 comparisons:1 drawing:3 usual:2 bending:2 less:1 obtain:1 sources:3 stored:1 voltage:39 predicts:1 adv:1 density:14 wei:2 reasons:1 add:1 identical:3 saturation:5 increased:7 increases:4 cnts:131 know:2 nanotechnology:1 heer:5 sk1:2 like:2 works:1 because:1 classical:1 shea:1 phenomena:2 growth:2 transport:2 electronegativity:1 zhou:2 lead:1 cosines:1 overlap:1 does:1 assuming:2 chains:1 slight:1 pressure:1 βij:3 although:2 stage:2 deriving:1 carried:3 dependence:2 surge:1 angeles:2 important:7 introduced:2 discretization:2 previously:3 h0:12 mers:2 van:9 additional:2 elastic:5 stainless:1 dm1:2 quadratic:1 inner:1 suzuki:2 function:25 but:6 volume:5 fragmentation:9 made:1 compute:5 cells:2 smooth:1 placed:1 frequency:2 limit:1 problem:5 piece:2 minutes:1 mechanics:2 int:1 contribute:1 condition:5 interchanged:1 brodie:1 functions:2 compared:4 improving:2 other:8 details:2 θc:7 plate:1 reorientation:2 100m:1 variation:4 margaret:1 else:1 exposure:2 coupling:2 space:2 microelectronics:1 |
0704.1681.txt |@word furlan:7 represent:4 surrounded:2 consider:1 ceases:1 limited:1 lack:5 results:6 ds:1 ry:1 leads:3 eds:2 thoughtful:1 disc:139 osorio:1 doug:1 broader:2 go:6 gm:8 disk:22 contributions:1 cases:5 poorly:1 layers:3 whose:7 simon:1 terms:3 zone:2 durisen:2 basri:1 young:3 including:3 protostars:3 ıa:1 finally:2 aur:11 present:5 determinations:1 under:2 fm:1 indicating:1 2mass:2 brown:2 jensen:2 advantage:2 md:3 far:1 dq:1 rise:1 01m:4 rinner:3 axes:2 anonymous:1 summarized:1 affect:1 difference:2 continued:3 anemic:1 entire:1 coeval:1 steeper:1 unlike:1 andez:2 altering:1 lkca:8 large:18 hubickyj:2 k6:1 bodenheimer:2 small:12 sano:2 inspection:1 10µm:4 extrapolated:1 upper:6 smaller:5 grateful:1 trend:3 miller:1 consistent:4 estimates:4 direct:2 empirical:1 past:2 imply:2 arizona:3 timescales:1 profiles:2 surface:6 chen:1 further:4 theories:3 remarkably:1 quite:2 spectral:7 index:1 errors:6 plays:2 appear:2 rate:43 gk:1 selected:2 while:6 hauschildt:1 current:1 switch:2 brief:1 anywhere:1 currently:1 above:4 frank:2 gh:1 acknowledgments:1 contrast:7 temperatures:1 impact:1 undergone:1 circumbinary:1 extrasolar:2 respectively:1 rudimentary:1 component:1 equals:1 here:3 understanding:5 ionization:1 following:2 explore:2 objects:94 andrews:5 groups:1 excess:17 active:1 iras:1 november:1 strong:2 appears:1 interpret:2 obtained:1 notably:1 search:2 drops:2 zones:1 identifiable:1 shift:2 study:1 larger:18 allows:1 step:1 hbc:2 scatter:4 vogt:1 suggests:2 amount:1 resulting:2 stimulating:1 telesco:1 published:1 narrow:1 studies:1 ratio:1 examining:2 via:6 useful:4 takeuchi:2 classification:6 apr:1 marked:1 highly:1 scaled:1 separation:2 remnant:1 aimed:1 verge:2 plots:2 opacities:2 extinction:2 tools:1 ctts:1 predicted:1 angelo:7 plot:1 use:3 indicated:1 photospheric:1 prove:1 distinct:6 chi:1 predictions:1 scenarios:2 few:3 wood:2 m1:8 therefore:3 m3:2 m2:6 butler:1 doubling:2 stage:1 type:5 theoretical:2 more:7 sort:1 flat:3 erode:1 rich:1 populations:1 becomes:1 apparent:4 line:10 occurred:1 cant:1 surprisingly:2 ghandour:2 normalized:1 known:5 considerable:1 hole:4 iv:1 producing:1 potential:3 kenyon:2 must:1 dex:8 states:1 account:1 crosses:3 effectively:1 mm:1 recalibrated:1 originally:1 mn:1 modified:1 bergin:3 tauri:15 ere:4 suggestive:3 examined:1 values:10 thin:8 evolved:1 believed:2 making:1 ın:3 example:6 decoupled:1 protoplanetary:1 tau:88 compare:3 figure:15 give:2 process:1 introduces:1 referee:1 palla:2 near:2 accept:1 sample:7 indicates:3 geoff:1 walsh:1 o:2 arise:6 exclude:1 standard:1 times:11 absolute:4 influenced:1 end:2 straightforward:1 provide:4 wg:1 clarke:7 chabrier:1 regions:5 submillimeter:5 methodology:1 criterion:1 quillen:4 strom:15 instead:1 flow:1 parameter:2 ensemble:1 gordon:1 profile:1 classifying:1 de:1 bjorkman:1 spitzer:1 seds:26 may:28 fy:1 waters:1 earlier:2 derived:1 hashed:1 diagram:1 hence:1 modest:1 produce:1 lay:1 structure:1 insufficient:1 fits:5 data:3 grow:1 types:1 fo:3 ambiguous:1 calvet:23 natural:1 dynamical:2 effective:1 light:1 spectra:2 lines:2 su:1 seibert:2 complexity:1 pickett:1 so:4 allow:2 decreasing:2 challenge:1 dereddened:1 first:1 order:7 typical:3 wavelengths:6 instabilities:1 evolutionary:2 bryden:3 closely:1 correlation:1 indeed:4 over:3 hern:2 dullemond:7 produced:2 thermal:1 already:1 through:10 elevated:1 statistical:1 existence:1 accrete:3 its:3 tendency:1 style:1 outer:27 thank:1 fit:5 how:1 tracks:3 interesting:2 masses:53 baas:1 l69:1 circumstellar:3 forms:1 ogilvie:1 fq:3 distinguishing:1 marsh:5 systems:35 pathway:1 stephen:1 decreased:1 main:4 might:6 easier:2 v819:1 eventually:1 non:26 good:1 lodato:1 greater:1 thereby:4 press:5 tinney:1 demographics:10 material:6 processes:3 mej:1 anticipated:1 often:1 band:1 g1:2 they:14 now:1 discuss:1 densities:2 αcs:1 represents:1 february:1 itself:1 padgett:2 hereafter:4 james:1 edges:1 classified:3 identified:4 fs:1 infer:1 sufficiently:3 filling:1 magnitude:2 radial:4 crossing:2 found:3 photometry:4 stahler:2 characterized:1 constraints:1 homogeneous:1 square:1 significantly:2 9m:1 instability:2 short:7 ed:2 energy:1 reduce:3 v410:1 fractions:1 m0:14 literature:2 alessio:12 measure:2 our:7 prato:3 beyond:7 randich:1 event:1 out:4 shown:4 protoplanets:3 undergoing:2 driving:1 factors:2 restricted:4 since:9 concentrated:1 tolerated:1 work:1 looking:1 similarly:3 nominal:2 sustain:2 suggesting:1 ref:2 fz:1 shows:2 asp:1 linear:1 offsets:3 favored:1 total:1 little:1 diagnostic:1 paucity:1 capture:1 approaches:1 formation:18 imaging:1 lissauer:4 estimate:6 rises:1 likelihood:4 log:16 definition:1 hubble:1 unresolved:1 segregated:1 created:2 geometry:1 determining:1 could:2 transition:114 rather:3 steward:1 plane:6 place:3 massive:4 tempting:1 corrections:2 facilitate:1 destruction:1 mdisc:21 origin:6 initial:4 fx:1 fischer:1 probability:3 question:1 possessing:1 papaloizou:3 number:3 spiral:1 clear:1 skrutskie:5 auriga:3 specifically:4 thick:8 fluxes:2 open:4 angular:1 illustrate:1 susceptible:1 given:7 fuller:2 natta:6 their:19 introduction:1 unknown:2 top:8 histograms:2 franco:2 system:2 least:7 name:3 indicate:3 confirming:1 accretion:111 rates:53 observations:3 calculations:1 luhman:1 ambiguity:1 white:6 scheme:1 viscously:1 williams:5 low:12 hα:3 way:2 relationship:1 behind:1 difficult:1 explanation:5 continuous:2 comer:1 assumption:1 optical:4 too:1 somewhat:2 rhole:7 magnetorotational:1 than:25 filled:3 population:11 serv:1 relative:1 kind:2 observatory:2 isolation:2 likely:4 submitted:1 nakano:1 matter:1 determined:4 were:12 finely:1 geometrically:1 hollenbach:2 toward:2 truncating:1 pre:4 binarity:1 counter:1 l185:1 gullbring:5 separations:1 correction:1 exceeded:1 spectrum:2 manuscript:1 substantial:3 fv:1 unaltered:1 allen:1 concentration:1 apparently:1 any:3 alencar:1 relatively:5 gives:3 university:3 conversion:1 estimated:6 persi:1 describe:1 sitko:1 latter:1 able:3 mid:2 mechanism:3 v773:3 note:4 sound:1 fitting:1 companions:5 k7:22 take:2 k5:3 attempted:1 photosphere:1 extrapolating:1 divert:1 l115:1 tool:1 primarily:1 conducive:1 even:2 play:2 experienced:3 multiple:1 norman:1 lubow:9 shure:1 arguing:1 rw:1 object:9 viscosity:3 blackman:2 most:6 detect:2 bolometric:2 printed:1 significant:18 comparisons:2 phase:3 cleared:1 measured:2 class:3 insightful:1 g98:18 latex:1 takes:1 considered:1 average:5 later:2 implications:2 inferred:3 km:1 ks:2 points:7 principle:1 distinctive:1 velocity:1 left:1 typically:5 width:1 fact:1 slope:8 planetary:6 selection:1 deviation:4 apj:37 show:7 detection:2 random:4 infrared:7 radii:4 30µm:1 relation:5 inconsistent:1 participate:1 interpretation:4 find:3 ground:1 muzerolle:15 wilner:2 giant:15 based:8 zucker:1 explain:2 planetesimals:5 enough:5 should:1 only:5 unable:1 black:5 replenishing:1 factor:9 mazzitelli:2 inhabit:2 rice:6 g00:3 columns:1 dn:4 do:5 dl:1 dm:8 dominant:1 dk:1 dh:1 meanwhile:1 df:1 dg:1 dd:1 diamonds:1 original:1 expects:1 cannot:1 words:1 baraffe:2 dr:1 intermixed:3 dp:1 alexander:3 gray:2 evolution:6 resolve:1 continuum:4 transitional:12 luminosity:1 arxiv:1 median:16 lizano:1 remove:2 summary:1 varni:4 sotomayor:2 discs:20 common:2 inefficient:1 contain:1 excesses:6 obscure:4 shocks:1 explanations:3 irradiation:3 set:2 captures:1 ser:1 national:1 correlations:1 maximum:1 observed:6 see:5 sed:24 radius:6 result:10 discussions:1 close:5 momenta:1 lee:1 phases:1 invoked:1 vertical:1 ways:1 clearing:3 away:3 irs:2 tucson:5 µm:2 megeath:1 state:3 future:1 envelopes:1 between:16 orbiting:2 drawn:4 armitage:2 approach:7 available:4 variability:2 comparable:5 najita:5 recently:1 statistically:1 parent:5 nature:4 importance:1 edge:1 weak:3 however:4 rapidly:2 jovian:18 entries:1 rapid:1 hypothesis:1 jointly:1 key:1 clues:1 group:2 boss:3 suppressed:1 problem:2 allard:1 suggested:3 both:15 essentially:1 improved:1 limits:1 reported:2 hillenbrand:3 many:1 region:13 uncertainty:3 equal:1 against:4 deeper:1 sicilia:3 anon:1 grain:19 phenomenon:1 context:1 similarities:1 exceeds:1 harbor:1 contribution:1 johnstone:2 nearby:2 among:7 ci:1 filtering:1 extent:1 timescale:1 point:1 simple:4 seems:1 cy:1 fgk:1 cf:1 height:1 dimensional:1 maintained:1 cx:5 dissipating:1 modeling:1 cs:1 table:10 cw:1 san:1 considering:3 unusual:1 kley:4 occured:1 disks:7 decoupling:1 wright:1 addition:3 help:1 create:1 locally:1 been:10 mart:2 conundrum:1 reduction:1 much:3 brice:3 combined:1 expected:24 adoption:1 ph:3 outliers:1 hardly:1 walter:2 hernandez:1 settling:3 direction:1 adopted:6 diversity:1 shortward:5 quantities:5 sufficient:1 formed:7 gas:8 ray:1 reaching:2 gap:14 pringle:2 understand:1 whitney:1 systematic:9 astron:2 evidence:1 those:15 case:4 k2:1 antona:2 grains:9 developing:1 solid:9 examine:1 value:9 transformation:1 will:6 dusty:1 dominik:4 reliably:1 error:2 exist:1 bate:2 characterizing:1 k1:1 decrements:2 artymowicz:2 studied:3 file:1 iq:1 ip:1 ir:5 thus:8 them:3 discrepancy:1 heating:1 ii:1 draining:1 vs:7 photoevaporative:1 conf:1 ave:2 haro:1 leaving:1 k0:1 orbital:3 binary:10 different:2 develop:1 russell:1 photospheres:1 sensitive:1 perhaps:4 suggest:3 make:2 same:9 orders:1 shorter:3 unity:4 pac:1 potentially:1 incorrectly:1 units:2 streams:4 several:4 grows:1 consequence:2 higher:8 fairly:1 used:4 v836:5 photoevaporation:18 blue:1 companion:6 parametrized:1 devoid:2 v2:1 levels:1 hartigan:4 dust:14 robust:3 totally:1 passing:1 tighter:2 recent:2 scaling:1 lower:17 mech:1 scenario:4 well:7 roughly:1 analysis:4 mccabe:2 solids:1 without:2 very:2 accreting:17 model:5 binaries:4 arising:1 lin:4 bodies:1 preference:1 mclean:1 proposed:2 less:8 being:2 generally:1 naturally:1 topic:1 sources:20 magnetospheric:1 identify:2 followed:1 minimized:1 speed:2 cabrit:1 migration:1 k3:5 yr:17 candidate:1 density:2 ghez:5 cherry:2 photons:1 drive:1 demographic:10 accretes:3 supp:1 apjs:2 source:2 spread:4 extends:1 samples:3 constant:1 compares:1 possess:1 remaining:7 divided:1 resolved:1 duchˆene:1 around:1 putative:1 observationally:1 myr:5 possible:9 possibly:5 indicative:1 mon:1 birth:1 testi:4 using:4 rocky:1 loss:1 promising:1 like:7 excluding:1 identifying:1 systematically:2 alternatively:5 stevenson:2 sizes:2 extremely:1 holes:2 noted:3 separately:2 flux:3 detections:2 continue:1 steps:1 either:7 sparse:1 martin:1 completely:1 become:1 downward:3 icarus:2 discussion:1 therein:2 optically:16 shed:1 because:6 old:1 methods:2 classical:6 sequence:4 plausible:1 creation:1 some:10 dead:3 hartmann:24 trends:5 growth:12 marcy:2 escape:1 altered:1 mazeh:1 joan:1 decrement:3 transport:1 planetesimal:3 francisco:1 measurable:1 scale:4 trace:2 lead:1 bottom:6 demonstrates:1 avoid:1 measurements:6 comments:1 otherwise:1 sublimation:1 does:1 assuming:1 prog:1 rebolo:1 content:1 fazio:1 measuring:1 core:1 biased:2 incidence:1 zapatero:1 protoplanet:3 cai:1 selecting:1 equivalent:1 each:1 aj:4 mathieu:4 stellar:65 evolve:2 yorke:2 bp:2 biases:1 although:1 offset:2 losing:1 described:5 includes:1 properties:11 panel:8 comparison:3 exhibit:2 central:1 would:21 origins:1 extending:1 aguilar:3 traces:1 discussed:3 surround:1 reduced:5 range:6 important:1 greatly:1 mahoney:5 wolk:2 efforts:1 introduced:1 allowing:1 subset:1 soc:2 own:1 presence:9 previously:1 into:3 within:8 designations:1 miyama:1 down:5 interferometry:1 appropriate:1 right:1 references:4 determine:2 approximately:2 proportional:2 reducing:2 utility:1 uncertainties:4 statistics:1 additional:6 assumed:3 support:1 there:7 convincing:1 column:2 long:2 why:1 dispersion:4 occupy:3 l133:1 henning:3 inner:36 stars:43 l137:1 resulted:1 mannings:1 slopes:1 viscous:2 was:2 opposed:1 underestimated:2 form:2 accretor:1 forming:7 dips:1 differences:2 but:5 irac:1 astro:3 heat:1 ho:1 solar:1 mnras:5 implies:3 coku:7 level:1 true:1 quartiles:1 coupling:1 slit:1 g6:1 made:1 uy:1 ux:5 kurucz:1 uz:1 whether:2 characteristic:1 gravitational:3 uv:5 up:4 us:3 until:1 planet:42 below:2 owing:1 limit:5 critical:2 h98:20 demonstrate:1 distribution:11 isolating:1 similar:9 consumed:1 expect:3 aa:2 bearing:1 associated:1 veiling:1 defined:1 steady:1 abstract:1 measurement:2 dearth:1 general:1 c04:3 single:20 lived:2 au:6 l1551:2 planets:12 wavelength:5 accounting:1 reipurth:2 az:2 distributions:7 physical:5 umebayashi:1 high:7 compared:15 improving:1 gg:1 no:19 dashed:5 whereas:1 edwards:4 when:6 detail:1 ciesla:2 supra:2 other:4 role:5 test:2 theor:1 artificially:1 opacity:5 explaining:3 impinging:1 replenishment:1 star:17 energetic:1 calculating:1 models:3 sided:2 radially:1 taurus:27 emission:5 msun:6 fell:1 pathways:1 accounts:2 included:3 fisher:1 astronomy:1 needed:1 fraction:6 jones:1 tailored:1 individual:1 longer:4 age:6 interval:1 resolving:1 visual:1 rule:1 naively:1 depth:1 mass:63 nelson:3 time:4 cores:1 gammie:3 having:1 once:1 |
0704.1682.txt |@word sci:1 angles:1 remarkable:1 bockrath:1 dynamic:3 results:5 roy:3 computation:1 consists:2 integrity:1 issues:1 tu:1 charge:1 stable:1 ren:1 nodes:2 include:2 applied:1 updated:2 deforming:1 flx:2 focus:1 electron:9 orientations:2 experimentally:3 difference:1 condition:1 level:1 experiencing:1 12µm:1 t0:3 large:2 science:3 small:2 evs:1 der:3 anantram:1 upper:1 smaller:1 force:6 trend:1 cvs:1 rate:2 design:4 displays:1 qualitatively:1 dynamics:1 employ:2 nonlinear:1 nano:1 complexities:1 swnt:1 expressed:6 thickness:1 current:18 indian:1 waals:3 values:1 tips:5 ever:1 thin:9 coefficient:2 simultaneously:1 degree:1 respectively:2 component:1 here:3 atoms:1 reported:6 decay:1 mahapatra:3 ratio:1 along:2 equations:2 hafner:1 change:1 obtained:5 institute:1 study:3 exiting:1 resulting:1 published:2 usually:1 fourier:2 studies:4 elongated:1 plotted:1 diameter:2 apr:1 colbert:1 σsb:2 total:1 joule:1 unit:2 use:1 takes:1 distinct:1 positive:1 contains:1 next:1 calculation:1 sample:1 kinematics:1 therefore:1 m2:1 films:1 themselves:1 type:1 until:1 more:2 introducing:1 comparison:1 becomes:2 inclined:1 under:2 emission:26 emitting:2 cases:2 chiu:1 iii:2 must:1 ρa:2 high:3 account:1 sheds:1 strain:1 electrodynamic:5 equation:4 work:6 lorentz:2 dn1:1 emitters:1 following:1 cond:1 trans:1 figure:5 process:3 india:1 saito:1 states:1 indicates:1 incremental:1 performed:1 tan:1 axis:1 rather:1 histories:1 sudden:1 chemical:1 how:1 thermodynamics:2 types:1 flow:1 absolute:1 parameter:1 ensemble:1 fpz:1 oscillatory:2 mat:1 fx:1 fz:1 earlier:2 applications:1 independent:1 produce:2 lau:1 law:1 fl:1 uwaterloo:1 constants:3 effective:4 light:1 summing:1 element:2 sj:1 complexity:1 green:1 decreasing:1 pulled:1 superscript:1 produces:1 developed:4 over:3 mainly:1 biomedical:1 stability:1 thermal:3 paper:5 london:1 statistical:1 mentioned:1 kinetic:1 ieee:2 its:2 longitudinal:2 maps:1 lateral:2 ds:3 systems:2 nanosci:1 h0:7 non:2 matches:1 bernoulli:1 material:2 processes:1 bound:1 band:1 hamilton:1 effects:1 structural:1 2u:1 term:1 always:1 university:2 2ev:1 sin:1 reasonable:1 each:6 found:2 side:2 govindan:1 fp:1 formulate:1 fairly:1 generation:1 ed:1 energy:6 displacement:1 related:2 mm2:1 sinha:3 owing:1 expect:1 ez:1 into:2 our:1 collector:1 ring:2 out:1 canada:2 shown:1 matrix:1 rev:2 projected:1 detailed:1 denotes:2 acting:3 vcell:3 spacing:1 emerged:1 denoted:1 100s:2 after:1 linear:1 dealt:1 governing:3 imaging:1 members:1 estimate:1 rises:1 realignment:1 multiwalled:1 interaction:3 waterloo:3 geometry:4 could:1 used:1 silicon:1 length:3 fc:1 assumed:1 assign:1 first:2 xj:1 copper:1 major:1 there:1 number:4 deplete:1 another:1 array:2 electronic:5 appl:1 given:1 temperature:8 introduction:1 data:1 system:2 approximately:1 parallel:1 their:3 conservation:1 ballistic:1 fn:1 ordered:1 scheme:1 nordheim:3 relationship:2 multiphysics:1 continuous:1 accurately:1 authors:2 spacings:1 than:2 steel:1 distance:1 second:1 individual:3 coulombic:1 were:2 ρa0:1 electrodynamics:1 randomly:7 manner:2 curved:2 concentration:1 ray:3 deflected:1 forced:1 mik:1 angle:5 depending:1 efficient:1 isolated:3 metallic:3 oriented:7 sciences:1 causing:1 forces:3 performance:7 smalley:1 conductivity:2 modulus:1 added:1 electric:8 melnik:3 normal:1 fcx:2 most:2 stockli:2 significant:2 device:11 segment:3 patterned:1 idealized:1 considered:1 neighboring:1 calculated:2 metal:2 electrons:2 principle:1 exp:2 fowler:3 ampere:1 physics:2 show:1 random:1 keywords:1 uniform:2 d1:1 cell:3 based:6 parameters:3 conduction:3 boundary:3 distributed:4 enough:1 employed:1 local:2 plate:1 beams:1 mwnt:2 de:1 degradation:2 beam:3 dz:2 dv:1 during:6 dt:3 averaged:1 net:1 dq:2 reorient:1 evolution:2 spikes:3 substrate:9 conditions:2 arxiv:1 encyclopedia:1 t04:1 common:1 qf:1 fixed:1 view:3 reveals:1 requirement:1 reference:1 observes:1 bias:2 smooth:1 maximum:3 observed:2 see:2 electrostatic:3 radius:1 result:1 discussions:1 sem:1 electrode:1 techniques:1 surfaces:3 runs:1 phonons:1 diode:1 sites:1 materials:1 µm:1 state:3 various:3 uemura:1 between:9 conductive:1 geometric:2 approach:3 variability:1 ends:1 terms:1 relative:1 nature:1 initially:1 edge:1 however:4 jj:1 analyzed:1 modeling:5 configuration:3 distribution:2 cos:1 many:1 region:1 density:8 heating:1 attributed:1 contribution:1 expression:1 experimental:2 among:2 compromising:1 huang:1 point:3 wall:1 ca:1 hollow:1 dimensional:1 directions:1 maintained:1 carbon:7 associated:1 dissipated:1 considering:2 lattice:1 addition:1 rinzler:1 chirality:2 due:13 been:9 describes:1 interest:2 fluctuation:2 applying:1 fig:5 postma:1 gas:2 precision:1 gap:2 determination:1 representative:1 systematic:1 case:2 single:5 deformation:1 wilfrid:1 while:1 promising:1 situation:2 balance:1 variabilities:1 a21:1 a22:2 a23:1 vd:2 orientation:6 coupled:1 thus:1 surface:7 ii:2 cluster:1 vs:2 anode:10 nanotech:1 7µm:1 grown:2 develop:1 perform:1 variations:1 radiation:1 cross:2 unity:1 complex:1 several:3 evolve:1 literature:2 numerical:1 effect:2 parametrized:1 moment:1 kim:1 changing:2 drain:1 ujx:2 hopping:1 well:3 analysis:5 without:1 patterns:1 contact:2 solve:1 components:2 simulated:1 coordinate:3 position:2 model:5 interface:2 usual:1 distances:1 proposed:1 being:1 tip:13 obtain:1 sources:1 shape:1 ch:1 voltage:3 aspect:2 previous:2 accepted:1 candidate:1 application:1 ponderomotive:2 royal:1 advancement:1 source:1 dqf:1 potential:5 treatment:1 carnahan:1 fvs:1 transformation:2 euler:1 aspects:1 showing:1 possibly:1 increases:1 cnts:39 aerospace:1 using:2 nanotechnology:1 height:3 heer:1 vertically:1 like:1 collective:3 nanoscience:1 shapes:1 flux:2 output:2 works:1 reduces:1 mathematical:1 successfully:1 phenomena:2 cathode:6 deflection:3 understood:1 towards:2 duration:1 transport:5 cnt:35 scale:2 nikolaev:1 tube:1 per:1 deflections:1 compute:1 moderate:1 proc:2 demonstrated:1 power:1 2µm:1 expansion:1 stem:1 pressure:1 step:3 bangalore:1 properties:1 integers:1 about:1 o:2 simulation:1 range:1 a2:5 repulsion:1 done:1 comp:1 emissivity:1 functions:1 soc:1 computational:3 burning:1 previously:1 image:1 elasticity:1 pair:1 deshpande:1 references:1 van:3 log:1 elastic:1 area:4 stainless:1 initial:5 handles:1 long:1 sampling:1 much:1 lou:1 analyze:1 was:2 forro:2 synthesis:1 function:3 form:1 some:2 volume:3 taken:1 heat:4 nanotubes:3 forr:1 pull:2 fragmentation:1 wise:1 ux:6 evident:1 uz:6 mtrl:1 nanotube:2 up:2 devices:2 mth:1 graphite:1 uj:2 displacements:2 problem:1 average:5 chatelain:3 mechanics:3 constant:4 defined:3 certain:1 abstract:1 sectional:2 influence:1 engineering:2 formulation:2 lifetime:1 film:16 defines:1 nj:1 nm:1 eq:2 generally:1 elemental:1 field:34 department:2 theor:1 conclusion:1 node:2 mechanical:1 uniformly:1 variation:1 includes:1 a1:4 a0:2 a3:3 important:3 n1:1 discharge:1 coupling:3 coulomb:1 assume:2 tubes:2 required:1 phonon:3 neighbouring:1 mass:1 time:7 understand:1 requires:3 lett:1 |
0704.1683.txt |@word sci:1 consider:2 remarkable:1 particular:3 results:4 interplays:1 leads:1 gf:6 proposition:9 generalize:1 edu:2 perturbations:3 analiz:1 compact:4 simon:7 depend:3 analytic:1 tr:4 sr1:2 th:11 under:2 connecting:3 norm:2 ın:2 applied:1 g1:4 very:1 choice:1 corollary:3 every:1 summarized:1 exact:4 condition:5 school:1 turns:1 applicable:1 vector:1 herglotz:2 section:2 anal:1 cms:1 says:1 lecture:1 unbounded:1 measurable:1 matrices:1 imply:2 spectral:72 established:2 appear:2 sum:1 uniform:3 above:1 lifshitz:1 new:3 lifshits:2 justification:1 notions:1 respectively:2 here:6 inverse:1 address:1 path:12 along:1 equations:2 extreme:1 obtained:1 shift:37 contradiction:1 suggests:1 survey:1 makes:1 criticism:1 wojciechowski:1 via:2 useful:2 projection:1 classification:1 rτ:1 sgn:1 derivatives:1 takes:2 prove:2 positive:3 negative:3 properties:1 call:2 ψm:2 taken:3 type:1 more:2 elliptic:1 becomes:1 operators:21 odinger:3 sl2:1 excellent:1 known:1 hold:1 r1:1 bedford:1 integrating:1 mm:1 avoiding:1 cap:1 theories:1 infinitesimal:13 values:3 following:5 akin:1 example:4 proof:14 f0:1 dedicated:1 νf:1 sense:5 mail:1 evidently:1 absolute:1 dh:1 s1:26 s0:30 amazing:1 acta:1 flow:23 parameter:1 map:2 mat:3 algebra:5 may:3 suppose:1 makarov:2 applications:2 multiplication:1 representations:1 summarize:1 compatibility:4 short:1 whenever:1 lemmas:1 lines:1 flinders:3 element:1 sh:2 so:11 fundamental:1 sb:1 sa:1 birman:5 discussion:1 vmn:1 bull:1 holds:3 words:1 pointed:1 soc:3 produced:1 london:2 banach:1 satisfies:2 its:2 before:1 monotonicity:1 thank:1 summands:1 interesting:1 affine:10 actually:2 concavity:1 stochastic:1 nsa:1 derivative:2 benameur:1 non:4 duhamel:1 outlined:1 landau:1 framework:1 eis1:11 half:1 now:5 smoothness:1 eigenvalue:2 term:1 dirac:3 university:2 sufficiently:1 iff:1 l2:1 l1:13 found:2 side:3 constraints:1 en:8 ei:14 series:2 semifinite:9 elementary:1 measure:10 quantum:1 our:3 out:2 rv:13 matrix:1 3rd:1 space:14 is1:1 since:5 rx:2 contained:1 investigation:1 dominated:2 izv:1 formula:19 rn:4 induced:2 supports:1 ri:1 math:12 shows:1 customarily:1 theory:8 gesztesy:2 reason:1 york:1 dx:1 intermediate:1 publ:1 inductive:2 definition:9 pairs:2 derivation:1 r2:2 fa:3 geometry:5 phrases:1 viewing:1 ds0:2 ds1:1 motion:1 hence:8 south:1 first:4 xj:2 riemannian:1 initial:1 xf:6 primary:1 another:1 sturm:2 open:1 interchange:1 given:5 perturbation:12 introduction:1 adjoint:7 their:1 summability:1 final:1 continuous:15 park:1 alan:1 assumption:1 part:2 translation:1 believe:1 representing:1 than:2 wide:1 double:2 require:1 sth:3 second:2 smoothed:1 fˆ:1 motovilov:1 rennie:1 generality:2 correction:1 modern:1 spectrum:2 say:3 any:21 zero:2 lim:5 latter:1 note:5 phillips:2 ideal:2 generalized:5 unperturbed:1 akad:1 multiple:1 trace:37 normal:3 vnn:1 measures:1 regular:1 formulae:2 pair:3 segment:1 class:13 singer:1 observation:1 considered:1 stronger:1 reed:1 physics:2 notion:4 fact:1 show:2 discovered:3 russian:1 spaces:2 gauge:1 d2:4 agrees:1 d0:2 principal:1 indicator:1 should:1 lemma:5 only:1 going:1 aϕ:2 continuity:1 viewpoint:1 get:1 df:6 ssr:1 famous:1 ϕn:4 aforementioned:1 αh:2 du:1 dr:28 αk:2 secondary:1 processes:1 approach:3 arxiv:3 us:2 nauk:2 fixed:1 krein:9 view:1 endowed:1 kernel:1 set:3 ser:1 exists:2 sukochev:11 edition:1 see:4 result:3 dνf:1 subject:1 eigenfunctions:1 multifaceted:1 enough:1 between:3 invariant:2 boundary:2 αj:5 conditions:1 αn:1 physicist:1 comm:1 key:1 amer:3 topology:14 σh:1 last:3 taking:1 equal:2 fulfilled:2 connection:2 contribution:1 mean:2 unitarily:1 mechanics:1 point:1 simple:1 leipzig:1 dimensional:1 pushnitski:1 affiliated:4 respect:3 selfadjoint:1 commutative:1 piecewise:2 locally:6 carey:6 been:1 mark:1 certain:1 proposal:1 algebras:4 define:4 θh:3 subspace:1 argument:1 noncommutative:2 solomyak:5 maximally:1 present:2 case:8 exponential:1 will:1 replaced:1 viii:1 situation:1 property:1 weakens:1 a20:1 averaging:11 von:8 thus:1 ii:1 conf:1 ie:1 same:1 cc2:6 parts:1 φh:7 finite:5 dhr:1 used:1 nj:1 hand:3 v1:12 v2:10 eith:1 relies:1 schr:3 acknowledgement:1 well:4 analysis:2 academic:1 without:3 firstly:1 ae:1 soviet:1 self:7 left:1 manifold:1 being:2 eis0:2 pergamon:1 world:1 alternative:1 speed:3 letting:1 lebesgue:3 density:1 iϕ:10 cc:27 extends:1 theorem:15 transformation:1 gave:1 real:1 australia:2 depends:2 big:1 2δjk:1 press:3 using:2 unique:1 moreover:1 formal:2 loss:2 follows:9 yields:1 integrals:3 arbitrary:1 reduced:1 therein:1 right:2 neumann:8 alexandrov:2 absolutely:7 some:3 ideals:1 understood:1 examples:2 uspekhi:1 convex:2 b9:2 icm:1 integration:1 comments:1 sr2:2 providence:1 does:4 exposition:1 summand:3 proc:2 refer:2 semigroups:1 eiϕ:4 equivalent:1 each:1 informatics:1 notation:1 hilbert:2 a1:3 hackensack:1 column:1 theorems:2 o:2 compatible:16 fredholm:1 srx:5 introduced:2 kre:2 mathematical:1 perturbed:1 cambridge:2 h2:3 ηn:1 h0:87 h1:16 integral:14 functional:1 three:1 equality:4 references:2 laplacian:1 sov:1 operator:23 methods:1 additional:1 canad:2 support:1 there:6 noticed:1 inner:1 ψn:2 resolvent:2 was:7 naturally:1 function:42 form:6 hr:59 memory:1 but:1 idea:1 link:1 delta:1 convergence:4 line:1 he:1 made:1 society:1 supp:1 multiplicity:1 smooth:10 differentiable:1 liouville:2 limit:1 problem:2 called:1 strengthens:2 detailed:1 proved:5 defined:7 coincides:2 abstract:1 general:3 engineering:1 dν:7 exist:2 dλ:2 dθ:1 distributions:1 functions:7 faithful:3 when:1 setting:2 remarks:1 details:1 test:1 mathematics:1 dodds:2 integrand:2 completes:1 uniformly:2 ξh:3 a0:30 important:1 bounded:4 au:2 ξf:3 implies:4 pincus:1 assume:4 modules:1 dρ:3 time:2 mosaics:1 classical:2 |
0704.1684.txt |@word limited:1 managed:1 caused:2 particular:2 dynamic:1 results:3 eds:2 edu:1 bank:1 compact:1 young:4 environment:3 finally:2 program:2 indicate:1 90k:1 henderson:2 supported:1 far:1 seemingly:2 electron:1 every:2 fall:1 affect:2 difference:1 minute:1 cool:1 school:3 large:5 small:2 radio:2 youngest:1 configurations:1 smaller:1 thin:2 surrounding:1 likely:1 asp:1 timescales:1 further:2 hayes:1 spectral:2 what:2 sub:3 selected:1 current:1 new:1 increasing:1 temperatures:4 iram:1 respectively:3 understanding:1 hours:1 selective:1 separation:1 alone:1 teuben:1 observing:2 box:1 sobolev:1 larger:4 funded:1 suggests:3 suitable:1 makes:1 spatially:2 scales:1 apr:1 highly:1 apj:3 readily:1 use:2 usa:2 therefore:3 criteria:3 msf:11 australian:1 type:1 tell:1 more:5 separated:4 signpost:2 line:4 emission:39 instrumental:1 excellent:1 cases:1 iv:1 clumps:3 must:1 high:2 crosses:1 package:1 ch3:1 obvious:1 three:1 evolved:4 following:1 making:1 mezger:2 council:1 figure:2 menten:2 epping:1 sample:2 walsh:4 coincident:2 robinson:1 rather:2 six:1 chemical:1 very:1 methanol:35 numerous:1 low:1 symposium:1 profile:1 fr:1 galactic:1 undergoing:1 may:5 snl:2 samples:1 derived:5 constraint:1 plane:1 data:5 response:2 shaw:1 short:1 attempt:1 dynamical:2 spectra:2 ghz:22 allow:1 correlation:1 evolutionary:10 feedback:2 astronomical:2 despite:2 vary:1 presence:1 thermal:1 through:1 motions:1 cuts:1 kinetic:2 linewidth:4 fwhm:2 energetics:1 observational:2 x000000000000000x:1 derive:3 group:13 thank:2 fit:1 how:1 cragg:2 varies:1 ionised:4 destroyed:1 detected:5 systems:1 charlottesville:1 wales:1 alter:2 sault:2 eventually:1 them:1 good:1 outlined:1 material:1 processes:1 number:5 often:1 effects:2 they:2 now:1 association:4 densities:2 pumping:2 brightness:1 university:4 traced:3 sufficiently:2 wong:1 reasonable:1 each:7 found:4 higher:2 tracer:3 heavy:1 domain:1 telescope:3 astrophysical:1 operation:1 transitions:1 thick:1 out:3 shown:3 funding:1 urbana:1 kensington:1 research:1 re:1 asymmetries:3 hill:2 newly:1 nsw:3 integrated:1 shows:4 sk11:1 ionisation:1 linear:1 8m:1 surveys:1 diagnostic:1 formation:4 imaging:1 intermediate:1 godfrey:1 unresolved:1 iramfr:1 transition:3 massive:5 ism:2 hence:2 south:2 already:1 manuscript:1 powerful:1 primary:1 clear:1 directly:2 array:2 fluxes:1 angular:1 size:3 given:1 temperature:4 their:14 introduction:1 least:1 needed:1 assumption:1 observations:10 iau:1 molecular:14 national:3 inner:1 fraction:1 completed:2 too:1 nh3:42 than:11 outline:1 distance:3 observatory:2 deconvolving:2 rarity:1 contrary:1 regions:15 were:14 toward:4 exert:1 strengthen:1 substantial:1 seen:2 constrained:2 any:2 relatively:1 depending:1 isolated:1 mechanism:1 indexes:1 extracted:1 fitting:1 potential:1 observationally:1 explanation:1 towards:6 multiple:3 trace:1 who:1 sequence:1 evaporate:1 most:5 gauss:1 preliminary:1 acknowledgements:1 measured:3 class:7 trapping:1 volume:2 doi:1 subtracted:1 considered:1 into:5 stronger:1 altered:1 proceedings:1 snapshot:1 hindrance:1 velocity:3 obscuration:1 fact:1 differentiate:1 selection:1 phenomenon:1 show:1 detection:1 probe:2 winnewisser:2 purely:1 manchester:1 keywords:1 find:3 larson:2 based:3 parameters:1 distributed:1 enough:1 should:1 only:10 going:1 molecules:1 factor:1 local:1 over:1 do:1 tracers:2 beams:1 beam:6 international:1 becomes:2 evolution:2 continuum:24 luminosity:1 arxiv:1 investigate:4 cheshire:1 predicted:1 contain:3 explanations:1 worrying:1 9dl:1 ser:1 sensitivity:2 spherically:1 observed:1 see:3 individual:1 terms:1 luminous:1 cold:1 best:1 appear:2 below:1 its:2 symmetric:2 state:4 between:6 drawn:1 neither:1 conditions:3 comparable:2 recently:1 relative:1 however:6 extent:1 jets:1 outer:1 configuration:1 observable:1 outflows:1 many:2 region:7 density:1 heating:1 etc:1 contribution:1 groups:17 cm:1 conclude:2 had:1 environments:1 sampling:1 described:2 wright:1 union:1 west:1 radiative:1 due:4 been:1 much:1 combined:1 expected:1 gildas:1 po:1 define:1 walter:1 maser:26 both:4 sufficient:2 formed:2 gas:19 requires:1 modelling:1 mail:1 evidence:1 ott:3 former:1 those:7 case:1 exception:1 grains:1 reliable:1 ionising:1 profiles:2 remaining:1 will:1 while:3 reliably:1 exist:1 va:1 would:1 henkel:1 a28:1 ir:1 thus:1 site:1 according:1 ii:6 vs:2 il:1 conf:1 hyland:1 different:5 uchii:2 develop:1 baseline:1 suggest:1 make:1 radiation:1 same:3 parts:1 7ghz:1 difficult:1 satellite:1 used:5 http:1 transitory:1 counterparts:1 sults:1 dust:2 shortly:1 scenario:1 well:2 analysis:2 without:2 position:2 synthesised:5 scholarship:1 powering:3 less:3 warmest:2 sources:10 using:3 yet:1 previous:1 conclusions:2 absorption:1 photons:1 sky:1 weiss:1 jodrell:1 source:6 internal:2 nor:1 sydney:2 evidenced:1 east:1 baselines:1 disproportionate:1 resolved:1 australia:7 breaks:1 possible:3 early:1 natal:2 atca:3 press:1 turbulence:1 advanced:1 sizes:3 alternatively:1 collective:1 specific:1 flux:2 detections:1 either:1 signposts:1 reduced:1 csiro:2 therein:1 barnes:1 www:1 right:1 methods:1 unassociated:1 plausible:1 some:1 understood:1 strongest:1 warmer:2 images:1 star:4 extended:1 scale:2 dense:2 confirm:1 comments:1 does:2 kms:2 provides:1 assuming:1 core:10 measures:3 location:1 remembered:1 linewidths:3 unsw:2 biases:1 ratios:1 offset:1 macclesfield:1 properties:10 after:3 stage:3 about:4 carried:1 oh:1 column:1 dependence:1 longmore:4 addition:1 ensure:1 grouping:1 road:1 software:1 commonwealth:1 facility:2 image:1 within:6 markedly:1 assess:1 stutzki:1 references:2 determine:2 burton:2 proportional:1 significantly:8 support:1 there:2 width:2 detectable:1 editor:3 stars:7 biggest:1 was:6 north:1 form:2 forming:2 differences:2 but:2 astro:1 heat:1 quiescent:9 mnras:4 unreliable:1 injection:1 ph:1 whether:2 characteristic:2 uv:2 up:2 us:1 lvg:1 limit:1 uk:1 highlight:2 distribution:2 stages:4 similar:4 calculated:3 purcell:1 associated:6 abstract:1 influence:1 proven:1 general:2 single:1 au:1 edgemont:1 triangles:1 physical:4 compared:2 antenna:1 no:6 dashed:1 generally:4 illinois:1 unambiguously:2 role:3 masers:15 spatial:3 department:1 deviate:1 optically:3 miriad:1 separate:4 models:1 variation:2 andrew:1 deriving:1 peak:2 astronomy:2 payne:1 younger:1 physics:3 age:1 required:2 enrichment:1 time:1 cores:39 resolution:4 having:1 |
0704.1685.txt |@word limited:1 gr:1 rev:14 global:47 results:3 integration:2 leads:3 microwave:1 edu:1 remarkably:1 consider:5 certainly:1 calculate:1 tt:1 shanghai:5 does:1 excluded:1 under:2 analogous:1 divergent:2 sound:1 string:1 very:6 decreases:1 choice:2 ma:14 condition:3 four:2 school:1 anisotropy:1 solution:6 t1:1 large:4 solved:1 small:6 configurations:1 unversity:1 force:1 sin2:1 defect:2 approximation:2 zero:2 chen:2 gm:8 canonical:11 chicago:2 while:2 expressed:1 current:1 above:1 new:3 method:2 satisfy:1 degree:2 respectively:4 here:3 lu:1 china:5 picon:3 jcap:2 quite:1 equations:5 appears:1 study:1 larger:1 gravitationally:1 βx:2 action:5 complicated:1 spacetime:6 plotted:2 figure:3 apr:1 highly:1 decrease:1 planck:1 linearly:1 plot:2 use:1 asymptotic:10 d74:2 positive:7 negative:4 next:1 comparing:3 linear:2 therefore:4 robertson:1 type:1 theoretical:1 more:2 flat:2 formally:1 composite:1 becomes:2 particular:1 eccentricity:1 cases:2 must:1 monopoles:7 coefficient:2 mb:3 science:5 equation:6 work:2 theories:2 values:2 following:2 spontaneous:1 example:1 f0:12 cosmological:2 calculation:1 cosmic:2 bennett:3 minimum:1 chin:2 numbers:1 arise:3 huge:1 united:1 rather:1 breaking:3 feature:1 far:1 nontrivial:1 significance:1 instead:1 ordinary:4 armendariz:3 parameter:9 dominance:1 astropart:1 tupper:1 mukhanov:3 after:2 produce:1 short:1 attempt:2 θdϕ2:1 effective:3 read:1 grant:2 lines:2 cosmology:1 cannot:1 so:6 d63:2 order:1 gµν:1 produces:1 essence:2 over:1 stability:1 paper:2 existence:1 cold:1 its:4 derive:1 rapidly:1 jin:1 interesting:2 lm:1 varies:2 coordinates:1 li:15 tejedor:1 production:1 differently:1 mail:1 might:1 non:11 good:1 affected:1 greater:2 disparate:1 press:2 dao:1 fig:5 geodesic:2 walls:1 repulsive:4 effects:2 they:2 singularity:1 now:1 easily:3 term:16 university:3 2x:1 l7:1 2f:1 mode:1 2b:1 each:1 found:1 characterized:1 d44:1 goldstone:2 domain:1 england:1 significantly:2 independent:1 energy:4 reduce:1 idea:1 sudarsky:2 static:4 quantum:3 eq:1 out:1 shown:5 rr:1 space:1 gradient:1 furthermore:2 since:2 lagrangian:1 investigate:2 denotes:3 particles:1 rb:1 issue:1 integrated:1 shows:3 foundation:1 basu:2 theory:6 galaxies:2 little:1 standard:10 approaches:2 formation:1 estimate:1 asymptotical:1 r2:2 r3:1 dubbed:1 could:4 transition:2 ds2:1 motion:5 b458:1 undergo:1 mello:1 eqs:4 origin:2 there:3 features:1 symmetry:5 tachyon:1 xa:4 number:1 clear:1 defects:9 another:1 angular:3 researched:1 given:4 cartesian:1 similarly:1 introduction:1 durable:1 system:1 xin:1 their:1 perturbations:2 dt2:1 hua:1 serve:1 part:1 natural:1 than:2 dynamical:1 second:1 viollier:1 annihilation:1 matter:3 determined:1 contrary:1 behaviors:1 derivative:2 fluctuation:1 dθ2:1 curves:2 manner:1 vilenkin:6 curved:3 clearly:1 acceleration:1 angle:2 depending:3 efficient:1 lim:1 damour:1 gravity:1 liu:4 potential:3 take:1 destroy:1 bezerra:1 shall:2 measures:2 most:2 steinhardt:2 pair:2 analytically:1 class:5 especially:1 average:1 later:1 implications:1 2gm:1 exp:1 dot:1 quantity:1 show:3 supported:1 converge:2 relation:1 solutions:4 astrophys:1 d4:2 d2:1 find:6 just:1 parameters:2 explain:1 written:2 topological:5 should:2 only:3 explicitly:1 local:1 dominant:1 cheng:1 get:4 de:2 ones:1 words:2 during:1 dr:3 ds:1 differentiating:1 prime:1 evolution:3 precession:2 fields:1 arxiv:1 expansions:1 grav:4 summary:1 t11:1 qc:1 t00:2 analytical:2 shi:2 valid:2 rms:2 national:1 freitas:1 observed:1 depends:1 result:2 terms:4 kinetic:16 barriola:3 tensor:2 away:1 b364:1 definite:1 symmetric:4 outside:2 a45:1 between:2 d50:1 invariant:1 boundary:2 approach:3 triplet:1 recently:1 weak:1 however:4 configuration:5 undetermined:1 f2a:1 last:1 region:4 hao:3 chosen:3 rendall:1 babichev:1 contribution:1 expression:1 comes:1 wald:1 inflaton:1 cn:1 point:1 asymptotically:3 coincidence:1 dimensional:1 boson:1 proved:1 actually:3 considers:1 ensures:1 salgado:2 addition:1 radiative:1 been:5 quickly:1 commission:1 describes:2 slowly:1 3u2:1 dρ2:1 choose:4 tµν:2 quantities:1 cos:1 spectrum:1 understand:1 clusters:2 irrelevant:1 those:1 case:5 pacs:1 solid:4 appearance:1 value:9 will:12 fr2:1 near:3 momentum:3 behavior:4 property:1 loop:1 a20:1 characteristics:1 metric:4 ii:1 unit:1 technology:2 different:6 develop:1 sensitive:1 radiation:1 lett:8 same:3 φa:4 unity:2 quant:1 units:1 dimensionless:7 finite:1 difficult:1 breakdown:1 evolve:2 investigated:3 infinity:2 numerical:5 effect:2 hand:2 expand:1 center:1 scenario:1 acknowledgement:1 makes:1 well:1 roughly:1 obviously:3 patterns:1 components:1 coordinate:1 model:3 dimension:1 usual:1 spherical:1 construct:1 manifold:1 proposed:1 obtain:3 proposes:1 spherically:4 rotates:1 speed:1 ads:1 field:17 harari:2 guaranteed:1 dicke:1 guth:1 limr:1 other:6 attractive:4 easy:3 east:1 ought:1 identical:1 around:3 κtµν:1 early:2 inflation:2 background:1 vacuum:1 rhie:3 using:2 8πg:1 mod:1 like:1 particle:1 δt:1 specific:1 vortex:1 lose:1 become:1 diez:1 because:1 some:3 respect:4 star:1 solving:1 gradually:1 scale:5 describing:1 lead:1 d66:2 affects:1 avoid:1 normal:1 inside:2 per:2 antimonopole:1 behave:1 deficit:3 assuming:1 core:6 expansion:1 broken:1 although:2 d42:1 bilic:1 properties:2 takes:2 carried:1 constraint:1 universe:3 discussed:3 dependence:1 o:11 simulation:1 range:1 plus:1 horizon:1 introduced:1 road:1 d62:1 cambridge:2 firstly:1 presence:1 into:2 within:1 numerically:2 bound:1 hyperbolicity:1 shellard:1 down:1 phase:2 references:1 tiny:2 einstein:4 clustering:2 nucamendi:2 twodimensional:1 approximate:1 fast:2 stars:6 astrophysics:1 naturally:1 function:6 form:3 enough:2 jun:1 but:2 feinstein:1 convergence:1 brans:1 kf:1 absent:1 made:1 gravitating:10 whether:1 characteristic:1 gravitational:10 up:1 fluctuations:1 problem:3 monopole:55 similar:3 called:2 diverges:1 constant:3 introducing:2 int:1 abstract:1 influence:1 general:2 ar:1 exist:3 simulations:1 lifetime:1 gradients:1 shooting:2 check:1 physical:2 nh:1 friedmann:1 no:4 way:1 when:12 application:1 setting:1 spatial:1 test:2 conclusion:1 deviation:2 kinds:1 zhou:1 problems:2 important:2 xing:1 assume:3 zhai:3 equivalently:1 mass:21 time:1 walker:1 serious:1 dϕ:1 strings:2 |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.