text
stringlengths 0
190k
|
|---|
0704.3053.txt |@word limited:6 abundances:5 code:6 partial:1 consider:1 remarkable:2 similarity:1 hint:1 magnetic:2 luminosities:3 l163:1 results:3 four:1 eds:1 softer:3 comments:1 controversial:1 obscuring:1 winds:3 follow:2 remarkably:2 disk:6 contributions:3 ward:4 poorly:1 layers:4 whose:1 aligned:1 ver:3 seyferts:11 γs:4 hump:4 young:3 arfgen:1 environment:1 γj:1 quasi:1 γh:5 those:1 excluded:1 under:2 include:1 dramatically:1 indicating:3 case:4 lack:1 mpc:1 very:9 relatively:2 polarization:1 choice:2 fabbiano:1 tantalizing:2 orientations:1 decide:1 summarized:2 resonant:1 newar:1 matrices:1 kpc2:1 perspective:1 school:1 epic:29 steeper:2 moderate:1 presented:2 transmission:1 notes:2 underscores:1 presently:1 large:11 discrete:1 systemic:1 aas:1 small:4 outer:1 yaqoob:2 inspection:1 noted:1 related:3 degeneracy:2 locus:1 upper:2 strongly:2 approximately:1 grateful:1 findings:2 core:1 hindered:2 consistent:7 rrc:7 direct:1 unpolarized:1 past:1 morphology:1 rate:1 asp:1 pasp:1 uk:1 ftools:1 further:3 quite:3 blrgs:13 spectral:8 index:11 what:2 schmitt:2 brien:3 3s:1 hetgs:1 section:1 selected:1 unknown:1 near:3 find:2 current:1 above:13 3c:59 3b:1 net:1 originate:1 l1:1 equivalent:2 contrast:2 emitters:2 meg:1 full:3 simultaneously:1 depth:1 respectively:2 never:1 component:16 here:5 ionization:10 reported:2 explore:1 test:2 operating:1 possibility:3 l27:1 excess:6 active:1 ratio:8 physically:1 strong:14 table:17 interpret:1 cosi:1 obtained:4 environs:1 zones:2 ergs:1 difficulty:1 institute:1 study:2 studied:1 hughes:1 commonly:2 ignoring:1 suggests:1 amount:4 simultaneous:2 usually:2 california:1 narrow:11 liedahl:2 extragalactic:1 brightest:1 composed:1 reprocessing:3 via:3 absorbers:5 hst:1 classification:5 subtracted:2 apr:1 proportion:1 morganti:3 apj:24 visible:2 unabsorbed:1 achievable:1 decrement:2 total:9 research:2 cloud:1 wielebinski:2 plot:4 use:2 figure:8 would:11 kartje:5 distinct:1 subtends:1 fel:1 kα:23 pasj:1 kataoka:4 discrepancies:1 few:1 sample:1 attribute:1 taken:1 panel:2 type:11 prep:4 reflects:1 more:8 fractions:1 flat:3 press:2 mirror:5 successful:1 conclusions:2 acceptable:1 apparent:4 corrected:3 emission:56 payne:4 tested:2 warm:18 clumpy:3 basically:1 diffuse:1 particular:4 known:4 hole:4 oviii:2 producing:3 abundance:1 md:4 mg:5 recombination:1 left:1 science:2 martocchia:1 fast:1 centrifugally:1 flight:1 donut:1 suggestive:1 erg:16 values:3 thin:3 following:3 laor:1 example:1 performed:1 f0:2 f2:4 weaker:1 reflector:2 indicated:2 ionizing:2 dkpc:2 relativistic:4 flaring:1 ambient:1 respective:1 high:9 indicates:1 lorentz:1 emitting:2 coincident:1 exclude:1 ngal:1 made:2 reynolds:3 simple:2 worse:1 scenarios:1 rays:13 eith:1 varied:1 provide:4 describes:1 discussion:2 holds:1 feature:7 regions:4 far:3 need:1 low:5 bassani:5 significance:3 answer:1 optimal:1 parameter:6 circular:2 profile:1 astroph:3 galactic:8 superluminal:1 may:5 confirmed:1 reconciled:1 after:3 derived:4 containing:1 tied:3 diagram:1 modest:2 produce:1 fe:25 mag:1 vertically:1 fits:5 rudy:2 law:16 meaningful:1 response:2 lifting:1 guainazzi:5 third:2 killeen:2 light:4 spectra:10 lines:43 yielding:4 ghz:1 cosmology:1 their:8 rather:1 si:9 extrapolation:2 so:3 allow:5 suggest:3 grandi:9 king:1 looking:1 order:3 bins:2 martin:1 displays:1 dispersions:1 indeed:8 over:3 mainly:1 ef:1 parts:1 years:1 produced:1 thermal:3 paper:2 including:1 discrepancy:1 ogle:2 cold:17 still:3 hough:1 its:12 galaxy:5 phillips:2 derive:3 group:1 fit:27 located:1 energies:11 fix:2 inclusion:1 exhibits:1 actually:1 forms:1 detected:12 apec:1 fig:7 bin:2 1c:1 might:2 h0:1 archival:5 versus:1 measurement:2 non:4 within:4 affected:1 geographical:1 prevented:1 innermost:2 primary:1 band:4 circumnuclear:2 effects:1 they:2 instead:4 clouds:10 now:4 discuss:3 bumped:1 densities:2 axon:2 several:6 2p:1 wang:1 2s:2 administration:1 fully:1 university:2 classified:2 identified:2 determine:1 events:1 possibilities:1 heasarc:1 fabian:8 chandra:4 mode:1 l0:2 each:1 linked:2 found:2 inspected:1 decreasing:1 underconstrained:1 mean:1 heavy:2 el:1 lifted:1 significantly:3 colder:2 energy:16 hard:12 n2h:5 gaussian:5 osterbrock:2 inverted:1 used:1 expect:2 measure:4 our:6 ew:17 ev:16 eq:1 event:1 out:3 matt:5 clarity:2 brandt:1 space:2 furthermore:1 cameras:1 projected:1 angular:1 increase:1 acting:1 fosbury:1 dominated:3 gaussians:1 leaves:1 suggesting:1 lockman:1 gov:1 viable:1 red:1 shows:7 coincides:1 doppler:1 χ2r:8 linear:1 σl:1 correspondingly:1 nlrs:1 galaxies:7 given:5 free:5 standard:2 prepared:1 indices:1 completely:1 formation:1 zdziarski:2 element:1 bumpy:1 intermediate:1 estimate:1 hand:3 remainder:1 wall:1 log:4 definition:1 unresolved:3 created:1 dip:3 could:6 transition:1 filter:2 window:1 along:1 place:1 errorbars:1 ism:1 leading:2 propulsion:1 receding:1 loud:15 south:1 first:8 origin:7 does:3 spergel:2 features:21 manuscript:1 reveals:1 scheuer:1 powerful:1 reflected:1 l2:1 tueller:1 dominating:1 least:3 directly:1 lph:6 l33:1 thick:4 fluxes:8 quality:7 george:7 size:2 1s:4 long:1 checked:1 temperature:2 jet:11 similarly:1 introduction:1 data:40 top:2 structured:1 pspc:1 sr:1 adopted:1 xstar:7 intense:1 st5:1 confirming:3 accretion:5 circumvented:1 observations:15 postulate:1 molecular:2 national:1 listed:1 2ad:1 shell:2 way:2 centered:1 latitudes:1 tool:1 observable:1 concordance:1 artifact:1 proga:2 binned:2 optical:7 cleaned:1 favorable:2 apjs:5 magdziarz:2 number:3 asca:14 than:8 continuous:1 december:1 distance:5 urry:5 polarized:1 unfortunately:1 showed:2 blrg:7 require:2 bailey:1 intensity:2 submitted:2 rarity:1 matter:6 states:1 blrs:1 contrary:1 stratified:1 iron:1 were:22 toward:1 steep:1 minus:1 mnras:14 f15:1 exhibit:3 objects:1 reanalysis:1 well:5 correction:1 multiwavelength:1 spectrum:22 operated:1 5bg:1 tadhunter:4 headings:1 plane:4 mos2:5 sas:2 seen:4 turner:7 confirms:2 onigl:5 clearly:6 ray:61 lie:1 conversion:1 strength:1 angle:11 eracleous:10 responsible:6 difficult:1 complexity:1 note:2 sciences:1 fitting:5 without:2 absorbed:11 goddard:1 favorably:1 ancillary:1 extrapolating:1 unconstrained:2 wonder:1 text:1 palazzi:1 nlr:1 stone:1 added:6 unless:2 any:3 correlation:1 systems:2 most:9 detect:2 gallagher:1 channeling:1 significant:5 acquired:1 intrinsic:8 approved:1 sub:1 equatorial:2 observation:9 torus:7 later:2 flow:1 inferred:2 km:4 face:1 ks:14 shlosman:3 wind:3 leahy:2 nuclear:4 cyg:2 intercepting:1 latest:1 physics:1 ned:1 fact:5 ho:1 slope:3 selection:1 particularly:2 show:2 absorbing:2 lewis:4 detection:7 halpern:4 kallman:3 implying:1 bright:3 minimizing:1 radio:40 threshold:2 ccds:2 thickness:1 epochs:2 indicate:3 priv:1 xmm:13 finally:1 based:6 knowledge:1 parameters:11 ngc:5 aeronautics:1 explain:1 distributed:1 negligible:1 should:2 brighter:1 only:6 black:5 screening:1 ballantyne:3 factor:6 encouraged:1 identification:2 eluded:1 ovii:6 dennett:1 accurate:1 columns:1 do:1 dominant:1 komissarov:1 albeit:2 lobe:2 vary:3 de:1 overall:1 account:2 rgs1:1 likely:5 joint:1 ionized:12 lighter:2 during:1 onboard:2 interpreted:1 3a:2 disentangling:1 bat:2 resolve:1 continuum:51 covering:8 luminosity:5 arxiv:1 willner:1 investigate:2 underlying:2 processed:1 activity:1 through:4 obscure:1 fixed:2 occupy:1 approaching:1 signatures:1 rms:1 requirement:1 barr:2 burst:1 hβ:2 frame:2 hα:2 respect:3 dadina:2 maximum:1 observed:29 ara:1 see:9 individual:3 radius:3 result:3 content:1 close:5 forthcoming:1 masetti:1 peterson:1 best:15 subject:1 fails:1 αr:1 inappropriate:1 pattern:3 opening:1 equal:1 assumed:2 tend:1 elitzur:6 macros:1 enough:1 future:1 various:2 cone:1 between:9 affecting:1 photoionized:12 hold:1 conditions:3 available:2 comparable:1 recently:1 keele:2 relative:3 nature:1 handful:1 weak:5 however:11 otherwise:1 comm:1 entrainment:1 consists:1 contamination:1 jets:2 kev:81 s99:7 s98:7 swift:1 emitter:2 improve:2 suggested:2 received:1 oiii:5 improved:1 limits:2 refinement:1 similar:13 region:9 compton:8 koski:2 staffordshire:1 attributed:4 conference:1 sensitive:1 improves:1 xspec:2 context:1 hypothesis:1 contribution:6 baltimore:1 nearby:7 comment:1 among:2 presumably:1 dustier:1 lists:1 cm:45 point:1 reasons:1 clues:1 corresponds:2 height:1 analyzed:1 perley:1 dominate:1 decreases:1 xi:1 modeling:2 moreover:2 throughout:1 n1h:5 second:3 fj:2 diagnostic:1 packages:1 described:1 engines:2 basis:1 addition:5 observing:1 radiative:1 due:7 been:4 identifications:1 garmire:1 pc:3 much:2 change:1 interest:1 contained:1 expected:7 ph:3 pn:10 rref:1 ipac:1 define:1 engine:3 concentrated:1 direction:1 describe:1 corresponding:1 xxv:1 both:9 offered:1 photon:9 search:1 paerels:2 bulk:1 photoionizing:2 observe:1 unified:1 representative:2 angles:1 sambruna:13 general:1 reeves:4 suzaku:5 present:12 reddening:2 applied:1 extracted:6 intriguing:1 crenshaw:5 uncertain:1 former:1 since:1 developing:1 solid:3 kronberg:2 outflows:3 harder:2 value:5 stronger:2 will:6 while:13 xiii:1 cannot:2 intercepts:1 mos1:6 ross:2 taking:1 carleton:1 identical:1 layer:1 larger:4 orientation:1 almost:2 pds:3 ir:2 thus:15 them:1 surface:2 quiet:9 cluster:3 good:1 fiore:1 against:5 dual:1 curved:1 claimed:2 limit:4 leaving:2 technology:1 seem:1 bepposax:10 different:4 constrained:1 twofold:1 baseline:3 perhaps:2 media:3 radiation:1 powerlaws:1 same:8 orders:1 shifts:1 another:2 complex:9 netzer:3 uncertainty:2 ews:4 filtered:1 physical:5 infer:2 higher:4 fairly:1 clear:1 braito:4 imply:3 closest:1 boosted:1 everett:2 absorber:5 padovani:5 alert:1 driven:2 devoid:1 viewing:1 traditionally:1 v5:1 robinson:2 dust:4 corbett:2 validate:1 opportunity:1 striking:1 normalization:7 recent:1 totally:1 rmfgen:1 supermassive:1 weakly:1 off:3 reflection:32 scenario:6 database:1 nevertheless:1 modeled:5 kazanas:2 center:2 analysis:7 thought:2 edge:3 residuals:9 components:2 position:1 model:35 blandford:4 latter:4 subtraction:1 distances:1 mclean:1 bottom:2 dickson:1 proposed:1 heavily:5 being:2 generally:3 proximity:1 newton:13 wagner:2 rest:5 fobs:2 indicative:1 sources:12 shape:1 intervals:1 atomic:1 summed:1 bautista:2 scattering:7 yet:2 previous:9 adding:5 rgs:6 timescale:1 candidate:2 density:20 absorption:41 photons:1 conclude:1 mask:1 improvement:1 source:24 add:1 lower:8 extends:1 location:3 grating:1 ruled:1 plasma:1 remaining:2 ammando:1 gave:1 resolved:1 around:6 depends:2 alternatively:1 mos:4 bands:1 regard:1 psf:1 possible:5 collisionally:1 unequivocally:1 possibly:2 kpc:2 unification:5 mushotzky:7 background:5 average:1 using:13 accepted:1 correcting:1 prominent:2 paα:1 necessary:1 like:6 excluding:1 pounds:2 multiepoch:1 follows:1 signal:1 velocities:1 villar:1 units:1 thorpe:1 flux:17 benefit:1 seyfert:9 yields:8 continua:1 become:3 georganopoulos:2 conclusion:1 soft:35 page:1 entrained:1 therein:3 poor:2 indications:1 because:3 1wga:1 often:1 oriented:1 flatter:2 sparks:1 some:1 back:2 experiments:1 deep:1 sight:4 specified:1 images:2 multiple:2 extended:1 translates:1 sufficient:1 resolutions:1 provided:3 scale:1 dense:1 lead:1 confirm:1 tasks:1 broad:12 measurements:1 extensively:1 per:1 sublimation:1 defined:1 magnitude:2 decomposition:2 provides:3 assuming:3 hosts:1 gsfc:4 inclination:8 locate:1 peek:1 noise:1 toroidal:1 power:17 slight:1 kinkhabwala:4 rosat:7 view:1 aj:1 confidence:3 host:3 powerlaw:1 although:1 greenbelt:3 tokunaga:2 obscured:6 properties:8 earlier:1 noisy:1 comparison:1 about:1 central:6 extension:1 hopkins:1 column:22 discussed:2 o:9 remains:1 range:6 alleviated:1 plus:6 greatly:1 insufficient:2 estimates:1 slightly:2 obs:1 iwasawa:2 software:2 seeing:1 real:1 frii:1 presence:14 previously:1 instruments:1 into:3 johns:1 implications:2 three:5 down:2 lies:2 contract:1 references:4 primarily:1 intr:1 old:1 counts:6 fexxv:1 telescope:1 uncertainties:2 statistics:1 additional:3 featureless:1 extraction:1 kt:1 measured:5 apparently:1 there:9 pexrav:1 specifically:3 why:1 width:2 outflow:6 inner:5 fraction:10 series:1 astrophysics:2 conclusive:1 was:14 bianchi:3 files:1 speculate:1 medium:10 north:1 elsewhere:1 latex:1 attempted:1 murphy:2 but:9 reduce:1 astro:1 collected:1 illuminating:1 link:1 satisfactorily:1 solar:5 counterparts:1 helpful:1 line:40 removed:1 true:1 he:2 count:1 chiaberge:2 datasets:1 arranged:1 whether:2 represent:1 gravitational:1 uv:3 variations:1 up:2 us:2 zooming:1 below:8 riley:1 ωm:1 marginally:1 spectroscopy:3 sum:1 unusually:2 distribution:2 uplifted:1 nandra:4 calculated:3 bandpass:5 detailed:2 peaking:1 adopt:1 giommi:2 photoionization:2 blueshifted:3 curve:3 abstract:1 contribute:1 assumption:1 slowing:1 evidence:11 balmer:2 single:4 referee:1 exist:2 laboratory:1 accounting:2 graham:2 archive:1 chartas:2 nh:13 again:2 extending:1 beyond:1 discriminate:1 no:10 fixing:1 when:1 ne:2 elemental:1 ng:1 preventing:1 field:3 other:7 blr:2 foschini:1 unaccounted:2 milkyway:1 department:1 nr:1 gliozzi:5 elvis:3 nw:7 optically:2 elements:3 a10:1 separate:2 models:4 gas:32 steepens:1 shown:3 fek:1 includes:1 spatially:1 malaguti:3 important:1 nucleus:4 hydromagnetic:1 velocity:3 variable:3 astronomy:1 needed:2 structure:2 exposure:3 l65:1 agn:27 hardcastle:1 assume:1 typically:1 odds:2 required:5 beamed:3 together:4 arguably:1 itself:4 nasa:6 mass:3 fitted:7 time:6 laws:1 resolution:6 external:1 |
0704.3054.txt |@word represent:3 concept:1 consider:4 limited:1 caused:2 results:5 illustrated:1 known:6 scalar:3 selection:2 markers:2 cooperative:10 hase:2 denotes:6 increase:4 inverse:4 depend:1 calculate:6 tx:2 deterministic:2 rf:12 environment:2 finally:1 according:3 those:1 under:4 nodes:10 include:1 dramatically:1 norm:1 ptimal:1 applied:1 collaborate:1 expressing:1 advantage:2 orthogonal:1 very:1 frequencies:14 none:1 choice:4 worst:4 entries:4 li:1 difference:9 matrices:4 adaptive:11 leads:1 squares:1 presented:1 transmission:6 applicable:1 large:3 eur:1 vector:9 telatar:1 recall:1 small:5 provided:1 cox:1 tenths:2 configurations:1 upper:2 employing:1 force:1 hardware:1 estimates:9 prediction:1 approximation:2 second:3 cost:3 design:7 evaluated:1 estimated:9 wornell:2 substitute:1 linear:2 index:1 what:1 errors:2 appear:2 diag:3 section:11 near:3 expressed:3 networks:4 richmond:1 experiment:1 above:10 computational:1 international:1 σf2:23 consisting:2 survey:1 full:3 sept:1 conf:1 exchange:1 respectively:3 here:2 desired:1 explore:2 selective:5 operating:6 ysr:1 ratio:3 method:2 preamble:2 imperfections:1 change:2 extreme:1 obtained:2 search:7 dec:4 aug:2 receive:3 involved:1 vectors:2 step:1 later:1 prior:27 throughput:2 ηc:5 usually:1 floor:1 examining:1 useful:2 projection:1 family:2 a21:1 apr:2 vii:1 replace:2 icdcs:1 summation:1 total:1 select:1 plot:6 use:11 feb:2 asymptotic:2 would:2 lemma:7 remainder:3 destination:30 negative:4 next:1 pers:1 calculation:2 snrs:10 going:1 therefore:11 vi:2 taken:1 cram:8 mse:8 morelli:1 more:6 flat:6 relay:37 outputs:1 apparent:1 pairs:2 normalized:2 impulse:1 particular:1 antennas:3 cases:1 hold:1 iii:2 circle:4 must:2 states:1 lowercase:1 extension:1 permits:1 ml:18 equation:1 work:4 oscillator:3 vetterli:1 atn:3 remain:1 assumptions:1 values:10 veh:1 following:12 trans:15 example:2 proof:3 control:1 dn:1 compare:2 relaying:1 figure:8 process:6 iterative:1 allowed:1 organized:1 purposes:1 dependence:1 sample:9 unbiased:3 minimum:2 performed:6 sense:1 onclusions:1 opposed:2 occur:1 gains:1 information:27 needs:1 united:1 hoc:1 provide:6 discussion:1 returning:1 regions:1 how:1 ochiai:1 carrier:2 opt:6 optimal:19 absolute:1 parameter:7 map:13 fr:7 fs:2 blocks:2 description:1 communicating:1 modulation:2 max:5 oscillators:2 wiley:1 derived:5 different:6 ssd:4 dc:7 fa:2 independent:7 fd:3 designed:2 ff:11 coming:1 account:1 minimizes:1 data:11 response:3 fo:2 undesired:2 effective:3 sr:10 zeromean:1 su:1 element:1 mar:2 perform:1 cannot:1 algorithms:12 allow:1 correlation:14 definitions:1 sa:3 looking:2 order:6 sd:23 πdn:3 acts:1 submatrices:2 over:14 insight:2 vary:1 choose:4 held:2 paper:11 through:4 statistical:3 signs:1 jθ:12 satisfies:1 multipath:1 ieee:16 its:9 before:2 perfect:3 derive:9 group:1 termed:1 ln:5 exact:2 zˆ:2 presence:2 conjugation:1 writing:1 parts:2 θt:3 systems:14 beek:1 digital:1 fim:10 versus:2 non:7 good:2 greater:4 combination:1 dim:2 ya:2 yc:20 hunter:1 introduce:1 transmissions:2 effects:2 they:1 identically:1 nov:3 now:3 realize:1 represents:4 term:8 finite:1 equality:1 2q:3 randomized:1 always:2 drop:1 hermitian:2 theory:5 magnitude:1 transmitted:3 mode:1 reasonable:1 each:23 found:2 2n:4 higher:3 mean:23 few:1 weight:1 xℓ:26 bump:1 series:2 ef:2 reduce:2 gaussian:12 related:1 solution:1 frequency:103 aim:1 combining:1 our:1 ew:2 inverted:1 special:2 er:6 maximizes:4 shown:9 network:7 space:7 squared:9 projected:1 research:1 rd:17 re:1 posteriori:1 daniel:1 dominated:1 adapt:1 rel:4 denoted:1 electronics:1 illustrate:1 sensor:1 fz:2 shows:6 doppler:2 shur:2 cooperatively:1 offsets:8 million:1 diagonal:14 standard:6 nth:1 approaches:2 complicated:1 besides:1 md2:1 approach:1 estimate:20 likelihood:10 mimo:5 additional:1 definition:1 training:15 interaction:1 geometry:1 sylvester:1 transition:1 but:1 so:1 adjustment:2 turn:1 length:5 kung:1 antenna:1 snr:28 cooperating:1 first:5 miso:3 xh:5 simplifies:2 ntroduction:1 mag:1 probability:1 omitted:1 variables:8 coding:4 number:3 channels:6 will:1 done:1 approximately:1 changing:1 compensated:1 message:2 ystem:1 size:1 given:8 necessarily:1 silent:1 similarly:4 unknown:2 burst:1 system:23 least:5 fm:1 their:3 assumption:5 compromise:1 listed:2 interference:2 final:1 gives:2 option:1 recovery:1 contains:1 serve:1 part:4 simulate:1 authors:1 july:1 than:6 ˆf:1 toronto:1 wide:1 ahmed:1 showed:1 sections:1 rate:8 limiting:2 project:1 matter:1 future:1 fˆ:4 toeplitz:1 treated:1 σr2:5 mini:4 remained:1 rao:6 trusting:1 argument:2 curves:3 manner:1 conjugate:1 need:1 imulations:1 constrained:1 fading:10 computationally:3 zero:18 min:7 efficient:7 xrd:17 infocom:1 note:3 high:5 potential:1 take:2 transmit:6 performance:26 techniques:1 modulus:5 channel:11 accuracy:1 circles:3 added:1 multiple:5 trace:1 prohibitive:1 akyildiz:1 optimized:1 sponsored:1 ht:1 significant:1 phase:30 analytically:1 class:1 sub:1 mitigate:1 gans:1 considered:3 up:1 calculated:7 sometimes:1 traditional:2 proceedings:1 accounted:1 diagonals:2 quadratic:2 typical:1 sum:2 fact:3 besson:1 incorporate:1 parker:2 show:19 detection:3 random:19 tarokh:4 minimizing:3 relation:1 threshold:3 substituting:1 decoding:1 find:8 removed:1 based:10 knowledge:4 parameters:4 implementation:1 distributed:7 eferences:1 reverses:1 penalty:5 surroundings:1 only:8 abs:2 bliss:2 σd2:15 factor:1 hrd:7 constant:8 local:4 oct:1 achieve:3 meant:1 do:2 triangle:1 goes:2 notation:2 dependent:1 express:1 overall:1 expectation:7 trees:1 ssr:11 joint:3 synchronization:16 nearly:1 timing:5 during:10 σf:23 exhibit:1 prentice:1 jan:1 converge:1 lgorithms:1 arxiv:1 stirling:1 summary:1 crb:46 optimally:1 inputs:1 ensure:1 recommendations:1 including:1 telecommun:1 qm:5 valid:1 user:2 requirement:1 set:4 computed:1 exists:3 achieved:5 frame:1 correlations:2 maximum:11 relative:3 depends:1 result:4 arg:8 close:7 theoretic:1 best:4 enhancements:1 phases:4 still:1 capacity:3 onto:1 subsequent:2 away:3 definite:3 incorporating:1 symmetric:2 arbitrary:2 written:2 c2f:2 cooperation:17 between:12 marks:8 subscript:1 conditions:1 available:1 letting:1 wd:1 terms:8 wb:4 extend:2 zeroing:1 complement:1 transpose:2 however:6 efficiency:1 italic:1 jointly:1 multiplies:1 jf:8 configuration:2 problem:1 improve:3 concentrated:1 received:2 interpretations:1 toward:1 last:2 σm:2 tractable:1 jπ:6 taking:1 trades:1 equal:6 contract:1 σd:4 chosen:4 present:1 receives:2 receiver:3 variance:26 estimation:39 expression:6 comes:1 among:4 adjusted:2 tse:1 cn:2 point:5 asymptotically:6 period:1 compares:1 dimensional:10 exploit:1 decreases:1 maximize:3 sequences:13 respect:2 throughout:1 adaptively:1 expensive:2 conference:1 pp:19 described:2 tuning:1 frd:23 px:2 locally:2 due:7 been:3 appears:1 int:1 odel:1 much:5 interest:1 likewise:1 twostep:1 dℓ:10 fig:6 addison:1 describe:2 diversity:12 both:2 quantities:1 sufficient:1 covariance:9 6p:2 baseband:2 general:2 protocols:4 colored:1 case:16 multi:2 hall:1 limits:2 variances:2 transmitters:1 cov:1 value:5 air:1 employ:1 while:4 compactness:1 behavior:5 error:14 aid:1 property:1 mhz:2 procedure:1 sandell:1 identical:1 larger:1 existence:2 vf:24 vol:18 characteristics:1 simulations:1 thus:11 iv:2 ii:5 attributed:1 chambers:1 stoica:1 illustrates:1 aspects:1 binary:5 containing:1 perhaps:1 circularly:2 make:1 cross:2 same:10 any:9 uncorrelated:1 complex:6 virtually:1 modification:1 resulting:2 several:1 vahid:1 fairly:1 used:10 infinity:1 see:1 jakobsson:1 sequel:1 interscience:1 effect:1 effectively:1 purpose:1 σr:1 robust:2 reference:1 lower:2 off:4 maximizing:2 scenario:1 minimize:2 modeled:3 well:2 roughly:1 analysis:7 de:1 without:5 components:1 relied:1 model:10 left:3 opinions:1 gastpar:1 protocol:3 just:2 λt:1 being:2 half:1 obtain:2 db:28 sources:1 minimized:3 laneman:2 loglikelihood:1 previous:1 gt:1 subsequently:1 enters:1 conclusions:2 smith:1 ideal:1 improvement:1 signals:9 source:29 spread:2 lett:1 samples:3 theorem:1 stable:1 foschini:1 real:3 insensitive:1 government:1 evaluate:1 breaks:1 papers:1 possible:3 cf:6 increases:1 five:1 know:1 listening:16 using:11 erkip:1 d2c:1 helpful:1 desire:3 loss:6 replacing:1 transmitting:1 patrick:1 signal:27 performing:2 specific:1 informative:4 benefit:4 yields:1 either:1 xsd:3 alternatively:1 region:4 endorsed:1 reduces:1 adaptation:1 mathematical:2 poor:1 because:4 methods:3 sequence:15 uppercase:1 conditional:1 some:4 back:1 pσ:4 choosing:5 convex:1 duration:1 a11:1 little:1 peter:1 ofdm:3 superposition:1 nonzero:1 separately:1 describing:1 esr:16 communications:3 entering:1 ones:1 per:1 moon:1 provides:2 assuming:5 compute:1 proc:1 minimal:1 considering:3 noise:8 run:1 bold:2 power:2 slight:1 ξt:1 equivalent:3 processing:3 continuing:2 illustration:1 hsr:4 wesley:1 meets:1 variation:1 corr:2 offset:8 plots:1 imaginary:1 nℓ:8 proceed:1 a1:1 about:7 carried:1 srd:6 column:1 stationary:1 completing:1 ml1:2 discussed:1 meaning:1 o:4 simulation:5 practical:3 dependency:1 range:6 estimator:29 plus:4 greatly:1 positive:6 calculating:1 technol:1 2k:5 slightly:2 block:5 own:2 letters:3 γopt:15 follows:3 communication:10 into:5 within:3 bound:9 three:7 pair:2 appropriate:1 exploiting:1 forwarded:1 primarily:1 estimators:6 operator:1 reducing:1 unambiguous:1 statistics:1 van:1 log:6 area:1 assumed:3 there:9 long:2 fˆp:1 describes:1 low:3 way:2 var:1 was:1 naturally:1 function:9 complexified:1 hard:1 form:5 iee:1 great:1 differences:3 deviations:1 encodes:1 wireless:10 link:25 gain:4 decodes:1 sdc:12 sdl:1 implies:3 ha:4 exhaustive:1 commun:8 made:1 portions:1 uncoupled:2 intuitive:1 characteristic:1 transmits:5 robustness:3 bounds:8 devices:2 converted:1 limit:3 autocorrelation:1 demonstrate:1 distribution:20 define:1 similar:4 clear:1 ub:1 detailed:1 instead:2 taylor:1 associated:2 ad:1 computing:2 defined:7 certain:1 abstract:1 specified:1 chan:1 denote:5 ap:1 single:3 exist:1 rule:3 av:1 corresponding:1 inf:4 distributions:6 triangles:5 regime:1 lim:1 compared:5 nn:3 no:29 whereas:2 nc:14 when:34 fsr:29 σb2:1 other:5 coded:4 details:1 spatial:1 department:1 aazhang:1 shin:2 out:6 outlines:1 node:25 canada:1 stat:1 elements:4 may:4 users:1 collaborative:15 a12:1 models:1 preceding:1 outage:2 june:3 inherently:1 deriving:1 generated:1 important:1 bounded:1 allowing:1 variable:11 fisher:5 needed:2 structure:2 matrix:22 searches:1 scharf:1 correlated:2 fsd:31 algorithm:22 assume:13 resolution:1 required:1 curve:2 covariances:1 together:1 portion:1 adequate:1 time:11 requires:1 having:1 |
0704.3055.txt |@word limited:8 homomorphism:1 secondly:1 magnetic:3 dynamic:2 nato:1 four:8 obstruction:2 tensile:1 consists:5 assembled:1 localized:1 skeleton:5 whose:55 isometric:4 u3:1 calculate:2 eligible:1 paris:32 segments:40 similarity:1 quadruple:2 presents:1 whatsoever:1 under:16 worth:7 insofar:2 icosahedra:1 void:4 amorphous:47 p1:4 summarized:1 multiple:6 look:3 coxeter:12 school:2 suffices:3 conceive:1 solution:1 piling:2 solid:43 vector:145 bordering:6 ups:1 force:1 consistent:1 disclination:269 direct:7 approximation:1 helices:2 second:15 liao:2 chen:3 chem:1 expressions:7 blue:10 established:7 incompatible:4 above:34 retrieved:1 new:25 increasing:6 pioneering:2 agreement:1 simultaneously:3 notions:2 join:3 never:2 wrapping:1 equals:1 here:20 atoms:6 met:10 fairly:4 nieh:1 represented:10 path:6 balian:3 growing:1 etching:1 stresses:38 property:7 study:9 changed:5 completely:13 adopt:1 pinning:1 γs:2 ductility:1 stressed:5 suitable:3 spacetime:2 cancellation:1 criticism:1 diameter:1 cohn:3 divide:2 classification:35 mobility:6 plenum:1 julia:2 replace:1 brought:1 visible:4 e4:14 schuh:2 total:18 unit:35 quasi:4 dna:2 would:20 handedness:5 bundles:2 negative:15 call:9 therefore:47 centre:8 distortions:4 volterra:137 type:32 separated:4 relax:6 brings:3 naive:1 curvature:47 aware:1 glass:3 regrouping:1 former:2 excellent:1 annealed:4 hold:1 circumstances:1 obeying:2 springer:8 ma:7 weaire:2 mm:1 fukuda:1 mn:9 mi:6 mk:1 mj:1 mu:2 oleg:1 tissue:1 temperatures:3 concepts:10 akin:9 hansen:1 example:20 il:1 dzyaloshinskii:5 superlattice:2 indicated:5 give:7 organized:2 stressing:1 generically:4 involve:4 indicates:1 cartan:5 want:1 keep:1 guarantee:1 hyperbola:4 end:4 recovery:1 kleman:81 feature:2 how:9 sixties:1 answer:4 symposium:3 ordinary:1 activation:2 classify:3 wolfram:1 nematic:11 classifying:1 description:21 arcs:9 replacing:3 after:12 minimized:1 tetrahedra:8 misfit:1 summarize:4 law:1 parallel:64 types:23 ionic:1 gluing:1 third:2 summing:1 hypotheses:1 complexity:1 keeps:3 tessellations:1 order:61 operations:2 restriction:2 interpretation:3 deform:1 over:11 vary:1 expects:4 helena:1 london:10 satisfies:1 before:6 asymptotes:1 dupin:3 fit:1 fiz:2 exhibits:1 better:2 production:4 fig:116 violette:2 scripta:3 easier:1 maximal:1 eventually:5 them:30 combination:2 weakness:2 break:8 kinked:1 repulsive:1 effects:5 they:78 singularity:7 xe:1 structural:4 scriven:3 represents:7 netherlands:7 quadrangle:2 invariants:10 reasonably:1 classified:6 dφ:2 reasonable:1 each:38 classifies:2 side:12 s1:1 mean:3 perimeter:1 meets:1 series:2 displacement:30 joined:1 used:7 magnets:1 recognizable:1 array:1 rw:1 network:10 gradient:1 restricted:6 content:6 re:1 multiply:1 dsk:1 reader:2 surprise:1 smc:4 sliding:3 sma:23 turning:1 linear:1 little:4 free:5 standard:3 admits:2 proportionality:2 chiral:2 r2:4 created:4 starts:1 πe:2 cosmic:2 heading:2 ordering:1 δij:1 liquids:9 onto:5 stripe:8 polyhedron:1 already:16 features:5 render:1 conjugacy:29 reciprocally:3 system:5 restrict:2 another:14 clarity:2 electronic:2 appl:5 illustrate:3 cartesian:2 rewritten:1 revival:1 their:54 top:1 twisted:10 master:12 observations:4 coplanar:2 centered:4 tool:1 rejected:1 weakly:1 somewhat:10 spreads:1 xj:2 cheng:1 distance:28 roles:1 surrounding:4 rate:2 preparation:1 matter:30 boulanger:1 classes:18 iron:1 tackled:1 tion:1 displays:3 fashion:1 pertain:1 mind:3 manner:8 physiques:1 smectics:4 seen:4 contents:2 forced:1 strength:37 genuine:1 mermin:4 thoroughly:1 latter:9 responsible:1 isolated:7 elegance:1 relaxations:8 oriented:7 materials:12 absorbed:11 forces:1 explanation:1 circles:27 even:17 optimizes:2 shall:16 object:2 viscosity:3 prohibitive:1 extending:1 involving:2 germany:3 plenty:1 organization:1 phase:38 marie:1 constancy:2 singer:2 observation:1 grandjean:3 calculated:1 partition:1 metal:1 vertices:16 curie:1 points:30 principle:6 kinship:1 notion:6 dover:2 inspire:1 random:5 ending:1 radii:1 gauge:6 solutions:4 civita:2 nϑ:1 d2:4 d0:14 theorie:1 just:16 situations:4 folded:2 undercooled:6 topological:84 geodesics:3 rich:1 constant:48 borrowed:1 do:20 dm:12 establishes:1 cubic:4 di:3 df:2 de:12 db:7 uniaxial:4 preferred:1 dz:2 tiled:2 dx:8 report:1 dt:2 du:13 dr:4 ds:24 dp:13 dq:11 runs:1 contributes:1 traverses:3 folding:1 covering:3 fields:2 microscopy:2 method:3 twice:3 bab:4 analytical:1 icosidodecahedron:1 geometries:1 riemannian:5 coefficient:2 traverse:2 decides:1 reference:8 habit:24 cimento:1 observed:15 checks:2 depends:9 radius:10 result:25 w1:1 fail:1 dµ:3 clef:2 best:4 subject:7 1977a:4 said:1 draws:1 tensor:7 µu:1 away:7 rings:3 artificial:1 symmetric:3 simplest:2 conceptual:2 drawn:5 sorts:1 approach:16 µb:1 route:1 triplet:1 terms:48 parallels:10 extend:4 nature:23 modify:3 weak:1 however:21 stripped:1 wu:1 extent:3 hundreds:1 topology:7 suggested:1 ranges:1 essentially:1 polytope:9 textures:2 reported:2 fault:2 ill:6 against:2 facet:5 stuttgart:2 merging:10 layered:1 und:2 faces:4 cµ:4 distinction:1 contribution:7 expense:2 disappears:2 1982a:2 1982b:5 appeared:1 2nd:2 magnetoelastic:2 dissipating:1 speak:1 conference:1 immobile:1 commutative:12 puts:2 basis:5 union:1 simplification:2 chirality:7 three:63 been:43 much:12 interest:7 basic:5 expected:5 flexible:2 ann:3 derives:2 location:2 dots:1 obtained:12 life:1 families:4 deeper:1 quantities:3 concerning:1 2r2:4 wish:1 coherent:2 lift:2 deepen:2 worked:1 spin:1 manifolds:7 applied:8 microns:1 minkowskian:1 tang:1 originate:2 mater:8 nematics:2 remaining:3 lesser:1 euclidean:34 near:3 viii:4 applies:10 balance:5 leaves:7 characterizing:1 cylinder:3 cons:3 equator:6 tions:1 iv:12 ii:56 ij:2 cond:2 cone:2 exterior:2 magnetostrictive:1 containing:5 perform:1 border:1 make:11 complex:13 split:18 mukherjee:3 spirals:1 several:8 mayo:1 isometries:6 templates:4 independent:13 laboratoire:1 natures:1 differing:3 hand:16 koehler:1 nanocrystals:3 centred:1 postponed:1 changes:5 derrida:1 burgers:109 contact:5 dominating:1 quantitative:1 jean:1 left:41 alluded:3 achard:2 rotated:2 kinks:10 orperforschung:1 assigned:3 identify:1 transforms:4 facts:1 rotates:1 yet:6 previous:7 elj:3 adding:4 enters:1 bullough:1 infinitely:1 balances:1 character:20 emphasis:4 evidences:1 belongs:11 transformed:3 easy:8 montroll:1 reconsidering:1 βpq:1 dihedral:3 advances:2 breaks:1 possible:40 spanned:2 possibly:4 wanting:1 unique:12 advanced:2 apart:2 constitution:1 melting:1 articulated:1 appearing:2 zachariasen:2 specific:8 bps:1 polymers:4 revisiting:1 right:49 theorists:1 deal:1 czech:1 predominance:1 successfully:1 somehow:1 intern:1 escape:2 elastically:3 indirect:1 separately:2 proceeding:1 umr:2 opposite:20 comments:2 romanov:2 a6:1 fog:2 unstable:4 t19:1 core:21 technicality:1 arbitrary:1 uj:2 conformation:1 illustration:2 disappeared:2 quaternion:30 bowing:2 properties:21 meyer:6 chapter:7 limitation:1 flourished:1 quasicrystals:7 obc:1 o:16 topologically:19 orthogonally:1 considerations:14 primitive:2 disclinations:248 presence:21 formulae:2 rotations:30 bound:6 shellard:2 down:1 pair:5 finely:1 sov:2 amsterdam:7 reducing:1 uvu:1 orsay:1 methods:5 surround:1 intrinsic:4 initial:3 transform:5 class:34 width:1 accordingly:1 conservation:1 physicists:2 way:21 irrespective:1 editions:1 parallelism:1 was:13 war:1 medium:78 midpoints:1 form:30 quantity:3 forming:2 becoming:1 differences:4 removes:1 back:4 failure:1 coble:2 sustained:1 removed:1 true:10 coset:7 cylinders:2 builds:1 happen:1 conf:2 prevents:1 inside:9 attached:95 bounds:2 crystal:67 complications:2 stages:1 trigonometry:2 b1:3 originating:2 strengthening:1 conserves:3 computing:1 covers:2 mosseri:3 conserved:2 proves:1 exist:8 dλ:14 simulations:3 distributions:9 check:5 triangles:11 constructed:8 nj:1 nm:3 no:67 na:3 whereas:8 nc:1 tip:1 vanishes:9 handed:1 ny:8 nz:1 interested:3 role:20 test:1 nr:1 roll:2 node:28 picture:7 1983b:2 1983a:3 models:3 mineev:4 uniformly:3 transported:1 rolling:2 dense:3 longer:6 dψ:1 dω:2 assume:12 nanocrystalline:1 proposed:5 interval:1 pseudo:2 dσ:35 together:5 time:7 n0:4 plastically:3 nuclei:2 n3:1 dϑ:17 neighbors:5 concept:17 managed:2 remarkable:4 equalities:3 particular:11 rod:1 focus:1 leads:3 12c:1 grateful:1 foundations:1 extremities:2 devoted:5 certainly:8 dimensionality:2 depend:4 graph:2 bordered:3 passage:4 violation:1 charge:2 compensate:2 infinitesimally:9 petersburg:1 εijk:3 stabilizing:1 suffered:2 must:8 sommerville:3 advantage:1 kumar:2 erale:1 emphasizes:3 seemingly:4 geometrical:34 orientations:7 stays:2 word:1 emphasized:4 annihilated:1 riemann:1 level:2 did:1 turns:7 leave:5 solved:1 annihilates:1 science:9 accumulation:2 attracting:1 interstitials:1 upper:2 work:3 illustrating:1 occurrence:1 thin:1 trend:1 dealing:2 sign:21 corner:1 theories:2 substitute:1 adds:1 appear:8 ere:1 celebrated:2 foregoing:5 uniform:8 polygonal:10 axial:24 paragraph:1 goes:3 filled:1 αij:15 realizations:1 inspiring:1 understanding:3 tangent:30 twentieth:1 groups:8 address:1 along:168 stem:1 appears:10 change:16 thirty:2 institute:2 vectors:56 commonly:1 eri:1 spheres:4 atom:1 simultaneous:1 q8:1 domains:14 emerge:1 oseen:4 useful:11 br:1 extra:6 f2:4 flexibility:11 translational:5 softens:1 triangulated:2 wang:3 undergone:1 prove:1 sake:4 positive:10 france:7 stacking:4 explicitly:1 der:1 opposed:1 etude:1 theoretical:2 stone:1 introducing:1 sharing:1 duality:1 incident:1 neglected:1 apparent:3 validity:1 nguyen:2 appendix:18 rigid:5 emitting:1 hyperbolae:1 cases:19 volovik:6 1µm:1 eγ:5 eβ:5 yves:1 valued:1 anything:1 tokyo:1 deformed:12 cap:1 modified:3 reviews:2 foci:1 values:4 jacobsen:1 following:11 making:4 grained:12 degenerate:1 figure:11 predict:1 spq:1 arise:5 equilateral:1 topic:3 performed:4 dxi:2 allowed:16 constituting:1 occur:5 verlag:1 rays:1 requirements:1 s3:84 tilt:22 discussion:18 bonds:3 berlin:3 orthogonality:2 write:8 pure:34 tile:1 absolute:2 parameter:21 divides:1 nye:31 community:1 map:1 product:14 ductile:1 packings:2 mat:2 may:5 max:1 curvatures:6 applications:5 levi:2 produce:3 deviates:1 mag:6 e2p:1 truly:2 data:3 mao:1 indifferently:1 stress:23 intergranular:2 natural:2 outline:3 liquid:47 6th:1 sq:3 sp:5 yielding:2 su:11 provide:3 annealing:6 so:55 sm:2 sc:17 representation:14 sa:6 talk:3 typical:2 exclusive:1 subsections:2 indeed:15 pointed:1 raised:1 years:2 stability:33 course:9 statistical:3 pitch:7 differs:1 still:13 tendency:3 supplemented:1 derive:3 group:95 thank:2 faults:1 apex:2 interesting:6 undeformed:1 tori:3 vicinity:6 decreases:5 forms:2 fq:6 continue:1 constitutes:2 listing:1 main:11 decades:1 meridian:2 ωkl:1 non:40 thereby:19 chelsea:1 acklund:1 introduce:17 elasticity:8 qualified:1 equidistant:5 half:14 now:37 discuss:3 nor:3 term:8 equality:4 name:2 lies:2 drop:1 fs:1 possibilities:3 polytopes:2 entirely:6 domain:5 square:2 retrieve:2 arbitrariness:3 badly:1 gaussian:10 ec:1 inhomogeneous:1 owing:2 valiev:1 approximated:2 eq:98 es:3 emerges:1 shown:7 tetrahedral:3 concur:1 watanabe:1 3rd:3 space:51 furthermore:3 squared:1 increase:3 attracted:1 contained:1 investigation:3 com:1 formula:7 current:1 unifying:1 shows:9 attended:1 theory:80 derived:7 liable:1 mechanisms:6 possibility:5 quite:4 caro:1 erales:1 org:1 e6:1 e1:1 e0:3 e3:27 e2:7 advance:1 βp:1 βq:4 language:3 locations:1 transition:4 motion:12 turn:11 place:8 friedel:59 frequent:2 first:57 origin:20 xi:9 toulouse:12 symmetry:47 striking:1 u1:1 coming:4 crystallogr:2 nested:1 simplified:2 specifically:1 directly:10 specificity:1 carry:9 nester:1 ring:1 xq:2 open:2 angular:9 size:15 given:28 necessarily:12 anderson:2 plastic:41 indicate:3 constants:2 convention:3 structures:14 gives:3 fraction:1 mostly:8 pittsburgh:1 continuous:142 transverse:3 released:1 x2:16 x3:12 x0:5 x1:14 representing:1 than:23 specify:2 ceramics:1 nanostructures:2 cracks:2 effective:1 accordance:1 require:7 future:1 were:6 generality:2 topics:3 occupies:1 turned:1 argument:1 generalization:6 renn:2 say:10 distorted:4 uninterrupted:1 washburn:2 any:95 henceforth:1 facult:1 aside:1 note:3 sciences:3 ideal:8 take:9 fracture:2 simplifications:1 destroy:1 strengths:1 modulus:11 surfaces:6 cnrs:3 milieux:1 investigations:3 stereographic:5 price:1 incidence:1 algebraic:2 fcc:2 fcd:14 successive:3 remarks:3 america:1 inserted:1 pages:1 inequalities:3 especially:10 considered:21 average:1 later:9 mrs:1 dodecahedron:2 metastability:1 dispersed:4 typically:1 lated:1 quasicrystal:1 precise:4 show:15 unfrustrated:9 contemporary:1 friction:2 sites:6 notations:4 spaces:6 inconsistent:1 scarce:1 homology:8 fibre:1 sinks:2 slow:1 favorite:1 aω:1 homomorphic:2 state:12 relaxes:2 only:65 going:4 black:2 helix:13 geometric:7 retrieving:1 structureless:1 concurrence:1 d2h:2 correctly:2 get:7 straightforwardly:1 satisfied:4 define:5 cannot:15 nearly:1 symmetrically:1 distortion:7 twinning:1 boundary:84 differentiating:1 closure:3 regarding:1 genealogy:1 4r4:1 yield:13 x20:2 uu:8 x23:3 mapped:2 kernel:1 variability:1 physically:1 maximum:1 relative:7 namely:17 ur:1 insuring:2 polyhedral:6 αp:2 αt:1 ways:2 review:5 brace:1 definite:1 justifies:3 polycrystals:8 boundaries:65 outside:11 yip:2 gases:1 between:62 affecting:1 αk:2 x21:3 across:5 bisects:1 x22:3 notice:31 vertical:1 planes:20 ue:1 antiferroelectric:2 comm:1 analyzed:7 article:3 embraces:1 jetp:2 suppressed:2 originates:4 concentrated:5 σi:1 realizable:1 σl:2 σc:2 many:6 region:5 according:25 σe:2 called:16 σy:1 shockley:3 dated:1 embedding:1 concentrates:1 σs:4 expression:14 comes:1 among:3 u2:1 stream:1 continuation:1 dislocations:278 period:1 twin:5 stretched:1 governed:2 cancel:1 associated:7 dislocation:119 considers:4 considering:7 unusual:1 eβp:2 stretch:1 come:4 skew:1 locally:7 attaching:1 cosine:3 ωmax:2 deformable:1 2αi:2 differently:2 6a:1 direction:40 kerlick:1 formed:1 bmn:1 further:2 transvection:7 observe:14 wake:1 external:1 stems:1 spirit:3 those:34 case:74 sethna:8 developing:1 engineering:1 lumped:1 cancelled:1 situation:18 ivey:3 interconnected:1 polymer:1 planar:4 orientation:12 prevalence:1 characteristics:9 regrouped:1 strain:10 fibration:6 gon:2 δfp:2 binary:2 different:29 develop:1 etc:16 media:47 granted:1 renormalize:1 same:115 princeton:2 html:1 figures:1 reminder:4 physical:15 investigated:9 assigns:1 singapore:2 ye:1 cholesteric:6 foam:1 drives:1 noticing:1 director:21 running:1 harris:7 driven:1 delicate:1 unmanageable:1 invariance:2 totally:1 relies:1 threaded:1 traps:1 largely:3 uµ:2 without:14 components:11 reflexions:1 coordinate:3 model:6 canceled:1 dimension:1 isometry:6 summer:1 manifold:8 cj:1 being:31 generally:19 resp:6 ci:6 rest:1 αkk:2 disperse:3 aspect:1 differentiation:1 eorie:2 multiples:1 cn:1 villars:2 struct:1 hint:1 remember:3 seems:3 except:12 improvement:1 wall:1 lets:1 porosity:1 pile:3 lett:19 samples:3 overview:3 doctorat:1 pitman:1 real:8 trebin:7 around:2 rules:9 specimen:1 coexistence:1 early:2 np:7 vacuum:1 confined:2 using:10 ruled:2 identifying:3 reduces:2 pole:1 thorpe:2 either:16 fully:5 multiplicative:1 beltrami:1 twelve:2 competition:4 supplementary:3 deduce:1 cr:1 images:1 matching:1 energetic:5 provided:3 cp:21 dimensions:5 confirm:1 tube:1 partials:9 decomposition:1 deficit:7 provides:6 refer:4 biased:1 assembly:2 scientific:3 power:1 convincing:1 equivalent:25 strained:2 combines:1 broken:6 refers:1 2n:9 earlier:1 oo:2 comparison:3 om:11 central:1 ferromagnetic:1 oi:5 discussed:21 meaning:4 oa:1 mutually:4 αi:4 wolf:2 obeys:2 act:2 concentrations:3 discusses:1 op:2 contrariwise:2 berger:1 cambridge:4 instruments:1 image:2 accumulates:1 screws:1 variable:5 qrs:1 references:5 lively:1 determine:2 einstein:1 elementary:8 shrinking:1 gennes:2 area:5 developable:1 removing:2 there:68 r3:2 dispersion:2 start:4 low:12 viscous:8 assumes:7 complete:4 enough:5 fundamentals:1 principles:1 suffers:1 elimination:1 applying:5 annihilate:3 embedded:2 ωq:1 ωp:9 ωs:1 ωt:3 ωi:75 soleng:2 ωk:4 ωj:2 ωa:7 ωb:6 homotopy:31 care:1 obtains:3 detailed:4 ab:21 czechoslovak:1 af:1 ai:1 certain:4 describe:4 moved:3 general:24 imagination:1 ensuing:1 nucleate:5 nanoscopic:1 nickel:2 moves:4 fill:4 grassmann:1 completeness:1 field:21 valid:15 mathematics:1 pi:2 interpretations:2 polar:2 briefly:1 chichester:1 condens:1 symbol:2 whiskers:1 kirchhoff:27 carnegie:1 includes:1 a1:1 commutator:4 a3:3 important:13 bounded:2 a4:1 suited:2 n1:1 included:3 suresh:1 n2:1 rq:8 building:4 assert:1 backward:1 remote:1 calls:2 controlled:1 eαp:5 curve:4 eαi:2 helically:1 directors:5 noncommutative:1 nelson:5 embracing:1 cores:1 joins:1 strings:2 represent:9 surrounded:1 sci:2 consider:43 pointing:1 forbidden:1 lack:3 splitting:7 scalar:1 generalize:1 follow:5 covalent:5 disk:1 reasoning:3 referring:1 lining:1 undistorted:1 equivalence:6 tr:2 ts:7 tp:19 tq:3 program:1 c5:19 th:3 ti:17 kλ:5 stochastic:1 nodes:5 presentation:1 norm:1 belonging:21 kχ:6 returned:1 kτ:6 very:19 activated:1 dsi:1 translations:7 hutzler:2 print:1 difference:6 capillary:1 deformations:8 condition:4 accompanying:3 rh:1 applicable:1 large:43 kondo:4 small:39 biological:1 nucleated:3 referred:2 employing:3 ten:5 dimensional:10 past:1 prevails:1 zero:1 perspective:2 iσ3:1 iσ2:1 iσ1:1 situated:1 ribbon:2 what:7 sud:1 sub:3 section:25 sui:1 thickness:3 version:2 sur:2 intersect:1 scientists:1 acknowledgments:2 contrast:3 movement:1 layers:30 condensed:5 full:16 component:14 supposedly:1 behaviour:1 inverse:3 compressed:1 relaxation:82 directions:25 ignore:1 strong:3 equations:2 search:2 eij:5 antisymmetric:1 elongates:1 inspired:4 stretching:1 allows:3 qualify:1 amount:2 periodic:4 published:1 action:8 formation:3 chain:1 specialize:1 elongated:1 quotient:2 uniquely:1 invalidate:2 followed:3 family:4 semiconductors:2 vii:12 screens:1 analyzing:1 viz:3 establish:3 select:2 clifford:19 takes:6 pentagonal:1 contains:9 finally:3 comparing:1 endowed:3 taken:15 achieving:1 minor:2 more:42 flat:13 51c:1 emission:6 proceed:2 varying:3 known:8 projective:4 producing:1 analogous:3 r1:2 keeping:3 quantized:79 cluster:1 recall:4 equation:29 des:8 edex:1 remain:1 vs:6 nine:1 caveat:3 nabarro:5 specialized:3 f1:4 compare:3 f3:5 memoirs:1 pushes:2 stated:5 icosahedron:13 share:1 kasper:14 states:5 sphere:47 minimum:1 numbers:1 hyperplane:3 sense:26 sharp:1 axis:70 huge:3 respective:2 strongest:1 rather:11 biaxial:2 xxxv:3 breaking:2 american:1 foreseen:1 maps:4 stemming:1 acta:8 fp:8 simplicity:2 fr:1 rivier:6 algebra:2 wiley:2 singularities:9 mapping:11 reflect:1 plane:102 waves:1 fi:8 horizontal:1 choice:7 short:11 generalizations:1 δi:4 festk:1 generic:14 negligible:2 fundamental:6 pay:1 playing:1 developed:9 soon:4 ferromagnets:1 held:1 paper:4 through:22 signs:11 existence:13 steric:1 suffer:2 its:66 coarsens:1 icosahedral:14 glide:12 energies:4 inward:3 lateral:2 βlj:3 fruitful:1 late:1 continuations:1 absence:8 systems:11 might:6 deformation:20 finer:5 yh:1 good:2 pentagons:3 cek:1 detour:1 geodesic:18 obeyed:2 walls:3 sessile:1 oxford:4 speculate:1 bernal:5 association:1 2t:1 easily:8 gets:8 2p:4 2q:3 2r:17 always:6 assemblies:2 presented:3 2d:5 courses:1 found:8 universit:2 energetically:2 characterized:4 neglects:2 sketches:2 w3:1 england:6 weight:1 energy:30 reduce:1 extended:34 expect:2 sketched:1 loops:6 http:1 operation:7 beyond:1 etat:1 discrete:2 nuovo:1 since:32 shortens:1 research:4 acting:2 denoted:15 induced:2 issue:1 occurs:7 fiber:4 localization:1 favored:2 polyhedra:7 pub:1 difficulty:5 reason:8 base:1 imagine:2 put:5 generate:7 asm:1 confocal:1 definition:2 pairs:6 luc:1 thread:1 similarly:4 metastable:3 conducted:1 edges:18 kung:1 circuit:5 twenty:1 consequence:3 exhibited:1 copper:1 major:4 prevent:1 relate:4 number:19 linking:1 hardening:4 done:2 defects:183 divided:1 disordered:4 differ:5 etiques:1 temperature:5 kon:1 introduction:10 leading:3 least:7 farkas:2 echet:1 assumption:1 identity:16 calculations:2 justified:2 molecular:4 too:2 imperfect:6 saint:1 relationship:3 behind:2 akad:1 employ:4 part:20 differentiate:2 authors:3 translation:32 believe:1 diffusion:6 kind:6 critically:1 double:30 kink:15 annihilation:1 determined:2 supposed:1 sintering:1 toward:2 dtw:5 canceling:1 defect:60 needs:1 alike:1 vilenkin:2 conjugate:26 graphite:1 hexagonal:2 null:3 orders:3 lie:2 generalizes:2 constructions:1 built:3 depending:3 self:1 vossen:3 majority:1 empirically:1 internal:8 generalized:2 analogy:3 analogs:2 play:4 added:1 kai:1 measures:10 reach:1 compl:1 splay:1 most:21 significant:1 conic:6 nothing:2 measured:2 stands:3 mobile:1 torus:7 sometimes:1 ko:6 kn:2 mailly:1 raag:1 traditional:1 kr:13 reflections:1 exp:1 hindrance:1 usual:14 physics:19 bulletin:1 lying:3 joining:3 sector:1 spherical:29 axes:14 particularly:6 phenomenon:2 scattered:1 session:3 relation:38 fine:1 find:4 reminiscent:5 edited:11 distributed:1 assertion:1 subsection:4 factor:5 concisely:1 circle:48 pj:2 abelian:8 his:1 dominant:3 template:14 notation:13 permission:5 dependent:2 express:3 lamellar:1 actions:1 during:2 molten:1 bˆ:1 transversal:1 continuum:1 arxiv:1 remove:3 investigate:4 common:14 knapp:1 set:39 maurice:1 prague:1 uses:1 see:66 arc:18 descriptions:1 sea:1 close:12 theoretic:1 outward:3 analog:2 mathworld:2 visualize:1 revolution:3 probable:1 plasticity:5 poirier:3 dn:2 currently:2 coordination:5 triplets:1 smallest:1 various:14 incompatibility:2 probably:8 numerous:4 pictured:2 lamellae:1 knowing:1 recently:3 creating:1 complementary:4 dxj:1 interfaces:2 sole:3 poorer:1 vanishing:12 distinguish:10 ferromagnet:1 both:26 last:5 delimit:1 packing:3 connection:2 objects:4 context:1 whole:6 finds:2 experimental:7 arbitrarily:2 gratias:1 point:76 simple:12 corresponds:3 whatever:3 tgb:1 homogeneously:1 agents:1 faraday:1 develops:1 complication:1 pq:38 described:17 transformations:5 lattice:17 px:4 due:13 describes:6 xal:1 coarse:12 anisotropic:2 combine:2 extreme:1 meeting:27 po:1 empty:1 pm:3 δbt:1 generating:1 partly:3 champion:2 regroup:1 wet:1 remark:14 gap:1 neumann:2 1985a:4 1985b:2 lives:2 representative:6 systematic:2 p2:7 p3:5 pierce:1 handling:2 noticeable:1 grains:17 frozen:1 straight:25 stabilized:1 empirical:1 while:2 replaced:3 behavior:1 covalently:1 loop:16 studied:5 approximate:2 century:1 vol:1 von:3 reads:3 itself:17 triple:11 elsevier:3 aspects:2 vanish:5 confirms:1 twofold:4 fibers:1 lengths:6 belong:37 tσ:9 read:5 emphasize:1 widely:1 modification:3 products:1 shan:3 composition:1 prerequisite:1 higher:1 development:4 calculation:1 literature:3 paths:1 triangulation:1 usually:5 moving:3 purpose:3 necessity:3 koch:2 langlois:2 stack:1 focal:11 recent:5 deduced:3 lower:2 analysis:21 obviously:11 nonetheless:1 solids:27 edge:47 normals:2 equilibrated:1 distances:3 construct:4 xe2:1 hypothesized:1 mol:1 reviewed:2 shape:16 intervals:1 atomic:12 questions:2 world:4 metallic:1 alignment:1 letting:2 cut:53 conclusions:2 alternate:1 forbid:1 describable:1 theorem:3 relevance:1 mod:3 transformation:9 build:2 frenet:3 insert:1 showing:1 displace:4 vladimirov:2 helicity:5 integer:3 emergence:1 georges:2 modifications:1 rotate:2 imposed:3 semi:5 follows:15 facets:4 manifest:1 shapes:2 imposes:2 yields:20 translated:1 pointwise:3 disorder:2 essential:3 mathematical:5 often:12 ignored:2 creation:4 some:45 pierre:1 δbi:2 understood:3 lips:7 towards:3 b0:3 examples:10 b2:3 mirror:1 investigating:2 anisotropies:1 gradually:1 scale:4 describing:1 affects:2 though:1 isometrically:1 per:2 planck:1 edition:4 behave:1 commutators:8 proc:5 minimal:1 displaces:2 bd:1 denominator:1 sheng:1 bm:4 martin:2 perpendicular:31 bj:1 rue:1 yamasaki:1 restrictive:1 step:1 bp:3 chiralities:1 relating:5 hilbert:3 gauthier:2 integers:2 works:3 deserved:1 constraint:1 δb:4 castaing:1 deserves:1 range:14 regular:6 philos:6 consequently:3 bloch:2 into:73 helical:3 integral:8 isomorphic:4 montesinos:3 appropriate:2 proportional:2 ellipse:26 rows:1 institut:2 coalesce:1 extremely:2 smoothly:4 question:12 long:17 ωαi:1 occupy:1 forward:3 analyze:3 sections:4 considerably:1 steenrod:3 himself:1 elsewhere:1 cylindrical:2 talked:1 relaxed:9 underlined:1 properly:6 link:1 delta:1 russian:1 line:205 considerable:3 propri:1 directed:2 zhu:2 epitaxy:1 circuits:2 characteristic:8 vacancies:1 up:13 us:18 par:1 um:2 ul:1 ui:5 today:1 l723:1 sum:9 continuously:5 fluctuations:1 similar:14 clear:2 kirchoff:1 antipodal:4 ordered:22 defined:31 flow:3 congruence:3 influence:1 metals:12 globally:3 metall:3 single:12 physica:1 tiling:1 βji:3 defines:3 polygon:2 tentative:1 objection:1 heyde:1 composing:1 exception:1 application:5 priori:3 nice:1 elements:35 generates:2 calculating:1 aggregates:1 problems:3 generated:7 moivre:1 suppression:1 sides:4 structure:30 feasible:2 ago:1 independently:1 correlated:2 implies:1 2d0:7 practically:1 pomeau:1 required:2 holes:1 orbit:2 rτ:5 phonon:1 neighbouring:1 far:5 everywhere:2 harcourt:1 requires:13 having:4 once:2 essay:7 gu:1 partial:6 illustrates:1 knotted:1 results:25 illustrated:2 classic:1 houches:4 eδ:1 go:1 contributions:4 centers:1 toric:4 hooke:2 compact:3 compose:1 eα:13 chapt:2 rokhsar:2 excluded:3 stable:12 cahn:1 include:1 letelier:2 implicitly:1 electron:3 rotational:11 mixing:2 polymeric:1 matrices:1 arrange:1 entire:8 positions:4 notes:2 dealt:1 membered:2 ωij:3 noted:3 configurations:17 smaller:6 zh:2 l2d:1 seventies:1 sin2:7 fold:5 imply:1 subtle:1 notwithstanding:1 odd:8 zs:3 index:1 plays:4 giving:1 expressed:4 networks:20 cell:1 experiment:1 twins:4 expresses:5 technology:1 3d:24 body:3 nearest:5 led:3 degree:2 exchange:3 respectively:5 gathered:1 highly:1 believed:2 explore:1 les:4 others:2 z4:1 consideration:4 fifteen:1 δωa:8 z2:11 widening:1 cryst:2 great:65 involved:7 larger:7 suggests:1 resulting:7 constitutive:52 climb:7 shaded:1 makes:9 sup:1 involves:4 frictional:1 composed:2 foresee:1 montpellier:1 scales:7 apr:1 private:1 precipitates:1 improbable:1 decrease:1 composes:1 apply:9 tools:5 analyses:1 use:12 lq:11 asymptotic:2 remains:4 pedagogical:1 bi:2 next:4 few:7 depicted:1 doubt:1 yuriy:2 reciprocity:2 themselves:4 simpler:4 sort:3 separates:1 giraud:2 started:1 becomes:4 mismatch:1 hookean:1 l199:1 carrying:5 integrable:3 eccentricity:2 rare:2 iii:19 adequate:1 hints:1 sample:5 account:14 crosses:2 when:55 reproduce:3 infinitesimal:52 obvious:6 splittings:1 meet:10 proof:1 control:2 wedge:109 impedes:1 employs:2 αkj:1 process:114 thermally:1 high:12 effectively:1 reappraisal:2 slip:14 bones:5 triangle:10 tan:1 junctions:4 dh:3 holds:1 roughness:1 regions:4 located:8 varies:5 attachment:1 instead:1 constraints:2 sin:156 coarsegrained:1 stock:2 tension:11 blocks:2 attend:1 singular:11 mixed:18 bibliographical:1 fatigue:1 recognizes:1 multiplication:2 ambiguous:1 realized:1 advocated:1 emit:1 light:2 lines:87 correspond:9 element:26 darboux:5 claire:2 allow:3 s2:8 alloy:2 subsequently:1 counted:2 six:2 produces:3 move:3 lavrentovich:11 interpreted:5 produced:4 mathematicians:1 including:5 mentioned:2 arrangement:3 perfect:16 ld:1 le:3 longitudinal:1 lc:4 la:4 chosen:7 ll:1 relativity:2 lj:1 li:37 lu:3 degrees:6 comply:1 communication:2 latitude:2 clusters:3 mishra:1 pending:1 eur:2 cusp:1 h1:3 junction:5 hirth:1 material:13 cover:1 mention:1 hands:2 βkl:1 determines:2 documented:2 transparent:1 reconstruction:1 articles:1 february:1 university:3 traced:1 identified:2 displacements:4 merge:5 magnitude:3 l2:2 l3:1 l1:2 crossing:3 soc:7 circular:1 traces:1 glasses:5 homogeneous:3 attachments:1 dωf:10 ferromagnetism:1 related:32 constitute:3 static:4 interplay:14 measure:2 separating:1 our:14 transitions:2 special:11 out:10 category:1 matrix:2 continuity:2 tsuji:1 rev:23 day:1 ω2p:1 posteriori:4 mediated:1 lecture:1 πp:29 supports:1 integrated:2 red:1 approached:1 interactions:9 frank:65 discontinuity:1 pieranski:1 attending:1 approaches:5 york:10 trends:2 anyhow:1 cured:1 nicolis:2 geometry:37 could:4 pqr:3 times:2 quaternions:24 length:19 isotropic:11 assumed:2 hence:31 retain:1 teor:2 polycrystal:3 crystallographic:2 powerful:1 reaches:1 straining:2 hehl:2 representations:1 reached:1 precisely:9 observer:1 hyperbolic:4 bears:1 achieved:1 inasmuch:1 relations:25 πr:1 attach:4 attack:1 πq:1 πt:4 pavel:1 perfectly:4 inserting:1 final:11 commutativity:3 shell:1 completed:1 exactly:1 foams:5 rsp:1 haven:1 dynamical:6 holland:5 isolation:1 distinguishes:1 riches:1 submitted:2 limiting:1 claim:1 compensation:1 amplitude:2 visited:1 distinguished:1 bet:2 w2:1 symmetries:40 e5:1 fluctuation:1 ripamonti:2 curves:3 discussions:2 binormal:4 curved:29 demonstration:2 clearly:6 viewed:1 screw:23 smectic:13 angle:75 min:2 eter:1 physique:2 mid:1 mechanism:7 polarization:1 instance:13 concerns:2 schematically:1 techniques:1 calculus:1 c2r:3 hq:16 sol:1 nancy:1 cosets:2 who:2 rearrange:1 1977b:5 connected:2 sb:12 misorientation:15 segment:22 why:6 transvections:6 url:1 neighboring:2 stranded:1 stronger:1 face:1 michel:4 µw:3 fact:24 lef:2 12a:1 parker:2 dbm:32 absorbing:1 text:5 supported:2 terminate:3 connect:1 bring:3 superimposed:2 trivial:2 principal:5 q1:4 q3:3 q2:3 based:2 conics:6 αq:1 should:15 terminal:1 ribaucour:1 molecules:8 gradual:3 employed:6 he:5 local:35 hopf:8 hope:1 equilibrium:2 meant:1 etrie:1 means:10 strands:1 czechoslovakia:1 regge:4 stripes:4 neighbour:1 µe:1 oner:13 ones:11 perfection:1 words:4 consecutive:1 nanometric:1 qp:3 processes:19 analyzable:2 densities:51 conditions:16 coalescence:1 differential:2 comprising:1 grav:2 tuned:1 europhys:1 gbs:1 contain:2 ohio:1 fixed:13 qm:2 view:7 moduli:2 multiplying:1 motions:2 exists:2 btr:1 frame:7 correlations:1 operates:2 unfavorable:1 computes:1 computer:4 geometrically:3 closer:1 phases:51 fαi:1 interacting:1 tend:3 favor:1 written:15 difficulties:2 closed:13 gedanken:1 stach:1 invariant:25 neither:2 prevailing:1 frustrated:22 massey:2 comparable:4 attention:8 reproduced:1 opening:2 importance:4 emitted:9 grasp:1 reproduces:1 hypothesis:1 magn:1 bouligand:17 liq:1 configuration:13 distribution:13 restrictions:1 hits:2 limits:4 freely:1 taking:9 equal:26 fulfilled:3 strains:10 grain:97 bristol:1 terminations:1 passing:2 otherwise:2 comment:3 strongly:2 christen:1 relevant:7 huang:3 cm:2 conclude:2 invariances:1 ca:1 cg:4 cf:10 cy:1 cx:6 coordinates:6 middle:1 respect:10 crystalline:23 cu:1 torsion:8 cavities:1 piecewise:1 addition:2 trajectory:2 nb:5 bianchi:1 treat:2 compensating:1 columnar:3 choose:2 arises:3 corresponding:11 am:16 coherence:1 cos:35 bulk:1 angles:33 bull:1 c3:10 c2:10 c1:11 c0:4 present:17 c4:1 erin:1 align:1 appearance:6 value:7 rectangular:1 will:8 revisited:1 layer:24 lacombe:2 scient:1 vi:9 thus:18 surface:73 vp:9 arrangements:2 claimed:1 partner:1 orthogonal:31 conserve:1 φp:3 perhaps:2 cross:9 member:4 unity:1 parts:4 ince:2 pauli:1 φi:1 finite:31 infer:2 emanating:1 difficult:2 practice:1 infinity:2 again:15 absorb:1 upon:1 effect:9 sauter:1 phy:1 variance:3 infinite:11 frequently:2 extendible:1 mosaic:3 destruction:1 insure:1 mech:2 off:4 center:5 nevertheless:1 l149:1 variety:2 well:21 thought:7 displacing:2 sets:15 position:7 subgroup:7 bending:1 kamien:2 softening:1 less:8 increasingly:1 accurate:1 obtain:2 sources:5 underlying:1 distant:2 predicts:2 seats:1 widen:1 glue:1 macroscopic:1 rotation:168 adv:4 rapid:1 density:34 absorption:9 smith:1 hall:2 reasons:2 add:3 terminating:1 extends:3 attractive:1 crack:2 lubensky:4 mitra:1 ellipses:2 identical:5 ledge:5 thorough:1 solides:1 five:3 know:3 knot:2 press:5 nanotechnology:1 intersection:5 bδ:3 displaced:6 necessary:3 like:12 sizes:4 δt:1 δr:1 δs:10 weisstein:2 starting:2 lose:1 δf:3 become:1 bisecting:5 soft:5 acad:1 therein:2 parity:1 shed:1 because:38 classical:6 sequence:2 shen:1 phenomena:2 espaces:1 vsa:4 growth:1 cleveland:1 proper:2 neglecting:1 transport:3 happens:1 orthonormal:1 cω:5 projection:5 lead:1 broad:1 avoid:1 separate:3 mines:1 overlap:1 ese:1 does:46 dipoles:1 assuming:4 nd0:1 demonstrated:1 mode:1 limitations:3 lumping:1 obey:8 ramifications:1 reaching:3 dangling:1 vertex:13 likewise:4 clarendon:1 βij:16 bundle:3 although:8 imaginary:2 stage:5 about:46 actual:8 carried:11 extension:12 introduces:2 recognized:5 compatible:3 carries:6 a2:3 spread:1 flattened:1 introduced:17 equally:1 own:1 previously:4 pergamon:1 dubois:2 atomistic:1 washington:1 chemists:1 en:2 ei:1 mere:1 dωi:1 van:15 elastic:27 noticed:1 uniting:1 restricts:1 citations:1 inner:2 frustration:20 crucially:1 notices:1 function:9 hy:11 north:5 insures:1 sequel:2 triangular:2 but:97 volume:9 insured:2 repeated:1 construction:4 pk:2 eaq:1 highest:1 a5:1 illustrative:1 partially:1 count:1 made:15 wise:1 partitioned:1 bundled:1 whether:15 antiferromagnetic:1 cells:5 smooth:1 below:13 quantum:2 limit:13 problem:1 piece:1 pansu:2 display:2 mechanics:1 slips:1 intersects:7 int:1 recognize:1 universal:1 contribute:3 graphical:1 denote:6 twist:65 eom:1 relates:5 crystals:53 pis:1 identities:3 campus:1 chromosome:2 inc:1 compared:14 ingredients:2 detail:2 other:67 compares:2 details:5 normal:19 flexion:1 conclusion:1 repeat:3 kinds:1 zhou:1 ejm:2 hcp:1 variation:6 stay:2 chance:3 else:2 oral:1 rule:1 original:3 schechtman:2 4c:1 |
0704.3056.txt |@word represent:1 consider:3 chain:2 magnetic:6 particular:1 results:2 gg:1 entropy:2 gb:18 ga:20 calculate:1 irrelevant:2 tr:1 ergy:1 james:1 finally:2 present:2 under:1 γc:4 γb:1 γa:1 tc:1 γe:11 lack:1 song:1 very:5 frequencies:4 induce:1 2γc:3 experimentally:1 exact:1 evn:4 hamiltonian:22 bσ:1 michael:1 large:3 convenience:1 small:3 ueda:1 smaller:1 computation:2 versatility:1 requirements:2 ωaa:1 ωab:13 feasibility:1 second:4 timescales:1 zz:3 initialized:1 dynamics:4 estimated:1 odd:1 index:1 appear:1 rate:3 current:2 above:1 3b:1 3a:1 condensed:3 full:5 evanescent:1 degree:1 exchange:4 respectively:7 angelakis:2 here:6 atoms:14 ranges:1 plenio:5 possibility:1 separation:2 address:2 represented:1 strong:2 iνt:1 obtained:1 stark:3 institute:1 shift:2 larger:1 experience:1 implementation:3 periodic:1 resulting:2 procedure:2 fourier:1 glu:1 appropriately:1 via:11 followed:1 apr:1 highly:2 addressed:1 achievable:1 apply:1 counts:1 total:1 plot:2 use:3 indicated:2 remains:1 faint:2 next:1 discrepancies:1 mediate:1 gb2:2 until:1 more:2 becomes:1 emission:2 validity:2 varying:3 cases:2 hold:2 must:2 states:16 none:1 consort:1 tunnel:1 science:1 setup:1 mn:1 ik:2 values:2 evolved:1 believed:1 making:3 spontaneous:2 example:2 purity:2 control:1 compare:1 computers:1 figure:7 give:1 process:2 chip:1 high:5 g4:1 numbers:1 fabricated:1 information:3 respective:1 united:2 end:2 verify:1 reuter:1 how:3 pure:1 parameter:1 description:1 cooperativity:3 max:2 badolato:1 1ghz:1 corrections:1 ff:2 ω2a:1 constants:2 stress:1 short:2 effective:33 whenever:2 λ2a:1 ghz:1 switch:2 so:1 definitions:1 operate:1 order:5 indeed:2 insight:1 confirm:1 london:2 lasers:12 excitations:2 its:1 diagonalized:1 termed:1 chosen:3 interesting:2 systems:3 marangos:1 rabi:6 covered:1 into:4 happened:1 maximal:1 them:1 thereby:2 gray:2 rotations:1 polarizations:1 yy:2 band:1 detunings:3 now:7 discuss:1 overlap:1 february:1 tonian:1 fully:1 drop:1 arrows:2 micro:6 mode:11 each:4 wunderlich:1 individually:2 ej:13 generation:2 energy:3 hard:1 frequency:11 measure:1 quantum:8 laboratory:1 approximated:1 transitions:12 shown:2 mediates:1 matrix:3 driving:6 space:1 furthermore:4 since:4 rev:8 formula:1 size:1 shows:3 turning:1 interactions:6 mechanisms:2 free:1 cirac:1 demler:1 generate:8 interaction:9 transition:7 feasible:3 creates:1 turn:1 length:1 isotropic:1 hence:5 key:1 ωg:5 probability:4 occupations:1 number:2 xx:2 xy:2 done:1 long:4 another:4 array:2 electronic:1 engineer:2 given:3 likely:1 introduction:1 interact:1 system:2 approximately:1 their:2 appl:1 rates:2 realization:1 dt2:1 dt1:1 scheme:3 frustration:1 trapped:2 realized:1 transverse:1 optical:2 favorable:1 simulate:2 manipulation:1 absorbs:1 eliminated:1 than:3 iωt:1 level:10 unfortunately:1 approximations:3 summary:1 zero:1 matter:3 silicon:1 iωa:1 tion:1 aoki:1 quence:1 turned:2 mater:1 close:2 any:1 numerics:2 min:1 able:2 sciences:1 absorbed:1 generalized:1 negligible:1 strengths:2 accuracy:1 heisenberg:3 begin:1 sets:1 singlet:1 most:2 formulae:1 device:3 kay:1 extremely:1 imamo:1 considered:1 neighboring:4 trotter:3 drive:1 exp:2 hamil:1 hzz:4 physics:3 gold:1 show:3 γbb:2 purely:2 log2:1 fleischhauer:1 occupation:7 ratio:1 parameters:10 2bw:1 explain:1 should:5 only:3 moriya:1 candidates:1 factor:2 employed:1 hamiltonians:2 local:1 achieve:1 dominant:4 despite:1 lattices:5 dt:5 hspin:2 adiabatically:2 processes:5 resource:1 approach:1 arxiv:3 tuned:4 lukin:1 predicted:1 through:1 require:3 set:1 achieved:3 j1:5 j2:7 2πl:1 relative:1 depends:1 individual:5 college:2 result:1 operated:2 jx:12 jy:11 interacting:3 compounds:2 sites:2 yet:1 qubits:1 state:10 various:1 between:12 boundary:1 conditions:1 terms:3 ability:1 jz:13 nature:2 importance:1 vanishing:1 2pg:1 ikj:1 configuration:1 suppressed:3 jc:9 both:4 cos:1 always:1 addressability:1 decay:6 against:1 σz:1 involve:2 figures:1 dated:1 exceeds:1 qubit:1 experimental:5 arbitrarily:1 detailed:2 relevant:2 fields:1 point:2 corresponds:1 2nd:1 dimensional:2 σjx:1 σjy:1 respect:2 ps:3 pq:1 described:2 geometries:1 spillane:1 create:2 due:4 been:4 detuning:1 describes:1 combined:1 anisotropic:2 ph:4 δak:6 universal:1 fig:4 dots:1 lived:3 deeper:1 σj:8 santos:1 photon:16 further:1 new:2 gap:1 external:3 presented:1 spin:19 those:2 laser:11 pacs:1 solid:1 value:1 will:2 while:2 promising:1 tunneling:1 couplings:9 sw7:2 real:3 aa:1 unitary:1 coupled:3 von:2 thus:9 couples:5 cluster:7 reads:4 duan:1 partner:1 technology:2 different:1 verified:1 fibers:1 same:2 shifts:1 quant:4 mølmer:1 hxy:5 several:1 showing:1 prerequisite:1 higher:3 used:3 imply:1 see:1 numerical:2 driven:1 levels:15 entanglement:1 robust:1 ab:3 tune:1 suitable:1 modes:2 raussendorf:2 well:2 simulated:2 model:19 obtain:2 photonic:2 λb:11 λa:10 intervals:1 2jc:2 atomic:7 prince:1 multiples:1 density:3 photons:17 hac:4 lattice:3 lett:6 versa:1 excited:11 kingdom:2 tests:1 couple:5 ga2:1 entangled:1 confined:1 mod:1 σjz:2 helpful:1 reduces:1 fernando:1 γba:1 either:6 martin:1 btot:6 δb:2 reduced:4 spins:5 δa:2 mathematical:1 porras:1 because:1 neumann:2 classical:1 sequence:1 conditional:1 some:1 play:1 stirap:1 hartmann:5 δbk:6 b1:1 moreover:1 lead:2 realistic:1 cavity:24 demonstrates:1 avoid:2 per:1 does:4 eliminate:2 provides:2 prog:1 coated:1 ba:1 bb:3 γab:2 γaa:1 processing:1 oscillating:1 bj:9 2ghz:3 host:1 σjα:1 emits:2 proceed:1 comparison:1 central:1 cavities:18 factors:1 briegel:2 range:1 road:1 ising:1 accessible:1 h0:2 numerically:1 jα:1 down:2 phase:1 initially:1 transfer:1 simulator:1 transform:1 fast:1 imperial:3 dropping:2 way:3 suzuki:1 naturally:1 raman:3 audenaert:1 complete:2 form:2 phenomena:1 brand:2 but:2 volume:1 repeated:1 atom:14 hc:7 line:2 ha:5 proposal:1 concatenates:1 arranged:1 understood:1 arrays:1 up:3 devices:3 ωk:14 uk:1 ωa:29 ωc:6 ωb:32 ωe:14 blackett:1 regimes:1 strongly:2 longlived:1 ac:1 interval:3 ln:2 ak:2 aj:16 ao:2 single:2 our:2 lifetime:1 regime:3 again:3 compared:2 us:1 sørensen:1 no:1 dashed:1 whereas:7 when:1 virtual:7 field:6 other:1 role:1 nat:1 spatial:1 np:1 nq:1 picture:2 superconductivity:1 a1:9 generated:3 a2:1 allowing:1 fortschr:1 structure:3 independently:2 implies:1 coupling:4 vice:1 assume:2 required:1 together:4 time:5 n1:6 decoherence:1 requires:1 rep:1 |
0704.3058.txt |@word consider:2 over:2 obtain:7 paper:1 generalize:1 y1:13 xn:1 y2:4 cases:1 d1:1 whose:2 hold:1 based:2 classification:1 concerned:1 simple:1 finally:1 according:1 theorem:11 wellknown:1 columns:4 yi:17 applied:1 yk:13 bij:2 possible:1 primary:1 corollary:7 integer:3 now:3 falling:1 areas:1 runs:2 finite:1 follows:2 university:1 arxiv:2 stirling:2 arbitrary:7 references:1 2n:1 side:2 2k:3 few:1 set:3 sequence:1 there:1 some:6 consists:1 milan:2 specified:1 special:1 subject:1 matrix:3 theorem1:2 since:1 label:2 i1:2 state:3 simplest:1 denoted:2 formula:2 net:1 apply:1 consisting:3 math:1 injections:1 terms:1 derangements:8 standard:2 informatics:1 generate:1 injective:1 obtained:1 extension:1 column:2 equal:16 2i:4 mutually:1 consequence:2 denote:1 block:2 otherwise:3 xk:13 xi:27 co:1 cm:2 apr:1 each:2 number:25 right:2 sloane:2 sequences:14 table:8 next:3 given:3 area:1 distinct:2 contains:1 properties:2 start:2 call:1 way:1 more:1 function:7 form:2 counting:1 line:1 particular:1 x2:5 c1:2 x1:14 case:6 kind:2 subsets:5 second:2 rectangular:2 will:2 d21:7 suppose:5 aij:7 following:13 factorials:1 similar:1 called:2 proof:2 maximal:1 partition:1 stated:1 defined:2 abstract:1 permutations:1 thus:5 them:3 generalization:1 general:1 ik:2 numbers:2 sense:1 disjoint:3 obviously:1 clearly:1 again:1 functions:10 nk:1 nm:14 d12:14 depending:1 holds:1 when:1 note:2 conditions:2 republic:1 take:2 department:1 mathematics:2 several:1 elements:6 blocks:8 generates:1 shall:2 may:2 preceding:1 derived:1 different:1 generated:4 fj:3 d11:40 so:3 considered:1 d22:5 kn:2 element:1 s22:2 encyclopedia:2 keywords:1 sets:2 n2:3 first:2 notion:2 usual:1 |
0704.3059.txt |@word limited:1 monte:1 extrapolated:1 consider:2 rob:1 excellent:1 results:7 cφ:5 four:2 edu:1 follow:3 abundant:1 terms:2 zone:1 similar:1 editors:1 program:2 those:4 maryland:1 brown:3 updated:1 probe:1 worse:1 jerk:2 very:6 keeping:1 trigonometric:1 summarized:1 span:1 difference:7 minute:1 induced:1 presented:1 turns:1 t4:1 t2:2 t3:3 large:4 quick:5 degeneracy:1 upper:1 employing:3 force:1 ten:1 zf:6 estimates:1 prediction:2 past:2 second:2 pasp:4 further:1 estimated:2 carlo:1 targets:1 subscripts:1 errors:3 sub:2 eminent:1 tremaine:2 current:2 above:1 new:2 method:10 leeuwen:2 full:1 dwarf:1 respectively:1 realizations:1 component:1 here:3 understanding:1 ranges:2 desired:1 tracks:1 objects:1 l27:1 ratio:1 along:1 quite:2 z0:2 z1:1 change:1 z3:1 obtained:1 nachrichten:1 nth:1 shift:1 prior:1 periodic:1 survey:12 des:1 pick:1 astronomische:1 via:1 useful:2 extra:6 apr:1 highly:3 scaled:2 decrease:1 1st:1 total:3 establish:1 readily:1 plot:4 use:8 takes:1 would:13 contains:1 predictions:1 barycentric:1 next:1 few:1 call:1 taken:1 more:6 line:1 observing:1 varying:1 known:3 measurements:1 account:2 mc:2 integrating:1 science:1 work:3 mj:9 values:5 ms:4 already:1 arrive:1 example:1 numbers:2 giants:1 months:1 figure:6 division:1 predict:2 days:1 sample:1 indicates:6 performed:2 employs:1 ari:1 hydrogen:1 occur:2 axis:1 needs:1 monitoring:1 provide:1 divided:1 ratioed:1 significance:1 instead:1 firmly:1 parameter:1 sin:3 sim:49 circular:3 mas:5 may:3 µas:4 earlier:1 derived:2 orbits:7 makarov:4 catalog:4 end:1 horizontal:3 data:13 2sα:2 diagonal:1 short:3 duquennoy:2 third:1 schneider:2 lines:5 rather:5 extrapolation:1 so:8 allow:1 sozzetti:4 pulled:1 order:10 developed:1 over:6 fall:1 mission:8 years:19 paper:3 motions:1 signs:2 its:1 before:1 observational:1 rapidly:1 fit:9 how:2 masses:4 solving:1 coordinates:1 detected:3 dwarfs:1 main:2 decades:2 bunching:1 non:1 good:2 yo:2 propose:2 fig:1 number:3 fr:1 effects:3 half:1 suffice:1 yr:1 yt:1 easily:1 term:3 finite:1 hereafter:2 university:1 level:2 loosely:1 leading:1 shao:1 xy:15 radial:3 found:3 characterized:2 constraints:1 heavy:3 milliarcsec:1 significantly:2 generation:1 series:1 idea:1 used:5 frequency:3 expect:2 combining:1 substantially:1 our:5 really:1 rv:1 3rd:1 space:3 quantify:1 since:1 re:1 cfm:1 dominated:1 gov:3 integrated:1 linear:2 given:5 standard:1 difficulty:1 reason:1 formation:2 imaging:1 høg:2 estimate:1 hand:1 telescopes:1 perform:1 unwin:2 could:2 modest:1 times:3 motion:13 turn:3 massive:1 signature:1 hence:1 neglect:1 first:3 major:1 initial:1 xo:2 probability:1 primary:6 zo:2 done:1 relations:2 sosa:1 comprises:1 zh:1 thick:2 xt:1 guess:1 smaller:1 publication:1 indicate:6 introduction:1 twenty:3 system:13 least:1 their:3 quadratic:1 listed:1 eqn:3 iau:1 white:2 hundred:2 final:2 observations:4 way:1 mostly:2 ch:1 relative:1 park:1 45o:1 july:1 than:10 coefficients:2 observed:6 unfortunately:1 double:1 programs:1 likely:1 submitted:1 limiting:1 preparation:2 matter:1 determined:4 aas:1 were:1 enables:1 powers:1 pre:2 binarity:3 fashion:1 ran:1 well:3 unchanged:1 mind:1 measure:1 sad:1 substantial:1 habitable:1 need:1 apparently:1 any:2 acceleration:3 documents:2 latter:1 apj:1 oriented:1 fitting:1 kaplan:4 finding:3 encyclopedia:1 analogs:8 accuracy:8 astrometrically:1 towards:3 multiple:1 investigations:1 τh:13 systems:16 metrics:1 most:1 impacting:1 significant:2 phase:3 analytically:1 extremely:1 why:1 latex:1 subtracted:1 exo:1 calculated:1 face:3 principle:1 conservatively:1 velocity:3 oscillates:1 sigma:1 fact:2 planetary:6 selection:1 show:2 accuracies:2 random:2 bright:1 photocenter:2 uranus:1 earth:1 epochs:1 find:5 ground:1 giant:2 based:6 knowledge:1 parameters:2 macros:1 implementation:1 casertano:1 should:1 only:7 surveyed:1 factor:6 various:1 thousands:1 dn:2 do:2 dm:2 distance:2 de:1 overall:1 a2o:2 during:2 secondary:1 nicely:2 arxiv:1 comprising:1 yield:5 twice:1 dpc:2 common:1 analytical:2 uncover:1 set:2 computed:2 reference:2 achieved:1 declines:1 frame:2 astrometry:5 rechen:1 up:14 detection:3 depends:3 college:1 result:3 recently:1 project:1 phases:1 detect:1 µy:1 µx:1 µz:1 review:1 currently:1 definite:1 mayor:2 target:1 case:1 future:4 hipparcos:21 between:7 tens:1 drawn:1 subscript:1 email:1 µb:1 comparable:1 weighing:1 vertical:1 importance:2 complement:2 however:3 fgk:1 group:1 hundreds:1 both:4 cos:3 improved:2 missions:1 limits:1 many:4 taking:2 conclusions:1 etc:1 figures:1 pdf:11 contribution:2 estimation:1 sα:1 nearby:2 relevant:1 characterization:2 simple:1 sky:1 period:33 wielen:5 maximize:1 modeling:2 polynomial:2 constant:1 described:1 simplification:1 three:1 been:3 pc:2 much:2 z2:1 expected:1 ph:2 reflex:1 define:2 schwan:2 aj:1 thousand:2 gas:1 precision:1 tycho:3 encycl:1 expenditure:1 systematic:1 spie:1 suspected:2 careful:1 former:1 present:1 applied:1 p3:1 look:5 p4:2 might:4 mtot:2 evaluated:1 heidelberg:2 will:8 while:10 p2:3 htm:1 error:4 region:1 generate:2 jpl:3 almost:1 thus:3 vo:1 canceled:1 fame:1 orbital:8 baseline:1 sensitive:2 fantino:2 suggest:1 make:2 shorter:1 epoch:12 html:1 virtually:1 units:1 several:5 cumming:1 higher:1 independent:1 extended:3 http:5 olling:5 numerical:2 upon:1 companion:7 uses:2 v5:1 uni:1 expand:1 recent:2 lower:1 task:1 center:1 database:1 neptune:1 roughly:1 without:1 residuals:1 components:3 coordinate:1 position:20 model:9 left:1 surveys:1 lattanzi:1 just:1 less:1 being:1 accurate:7 valuable:1 intervals:1 identify:4 predicts:3 positions:5 shorthand:1 multiples:1 previous:1 now:1 preprint:1 application:1 point:1 had:1 sφ:5 location:1 extensive:1 warrant:1 intermediate:1 jahreiß:2 identical:1 sim1:1 march:1 around:3 spectacular:1 read:1 combination:1 possible:3 cf:1 dark:1 increases:2 indicative:2 know:2 using:2 unique:1 vertically:1 imposed:1 like:2 semi:1 follows:2 signal:1 continue:1 either:5 demography:1 alternatively:1 invaluable:1 reduced:1 www:1 because:5 methods:2 deal:1 sequence:2 2x:1 some:2 searching:1 2y:1 jupiter:3 barycenter:3 proper:8 small:1 provided:1 lead:1 avoid:1 companions:11 exceeding:1 per:5 conservative:1 2xy:2 umd:1 does:1 orbited:1 eliminate:1 esa:4 inclination:2 bd:3 who:1 tabachnik:2 indicated:2 arbitrary:1 expansion:1 stellar:6 symp:1 cα:4 prepared:1 properties:1 proceed:1 about:4 actual:1 universe:1 eqns:3 o:3 range:4 estimator:1 obspm:1 trajectory:1 johnston:2 referred:1 slightly:1 subset:1 burning:1 due:3 rendering:1 appropriate:1 right:1 references:1 ver:1 often:1 van:2 astrometric:12 there:1 long:14 ordinate:2 catalogues:1 detectable:1 low:4 stars:10 astrophysics:1 was:2 function:2 elsewhere:1 differences:4 but:6 ford:2 astro:3 butler:2 construction:1 goals:1 solar:19 mnras:1 gaia:4 true:1 observation:2 shortterm:1 compute:1 pn:1 detectability:2 maximum:1 planet:7 below:2 limit:2 2πt:2 vhd:1 minutes:1 strongly:1 associated:1 likewise:1 abstract:1 year:1 ao:17 general:1 duration:1 single:2 exist:1 periods:13 planets:12 simulations:2 regime:4 compared:1 ideally:1 no:2 dashed:1 when:1 δz:1 other:2 details:3 test:1 realize:1 equations:1 star:5 beichman:1 models:3 shown:1 includes:1 generated:1 important:1 sql:10 included:1 longer:3 abscissa:2 assume:6 required:1 orbit:5 nasa:4 mass:21 fitted:2 time:3 determination:2 starting:1 once:1 |
0704.3060.txt |@word limited:1 concept:2 consider:1 pointing:1 hint:1 brownian:16 results:1 p20:2 leads:4 rapid:1 contributions:1 factorizing:1 whose:1 inverse:3 depend:1 calculate:1 epi:1 kronecker:1 tr:1 environment:21 quasi:2 according:1 infinitesimally:1 those:2 squaring:1 details:1 analogous:1 eβ:2 worth:1 indicating:1 case:11 probe:4 amplitudes:5 kraus:1 very:4 dynamic:7 multi:1 unchen:1 replaces:1 interpreting:1 mout:2 experimentally:1 difference:2 exact:3 condition:1 uttenthaler:1 severely:1 incoherent:1 immediately:1 presented:3 positions:2 notes:2 dodd:1 tre:5 applicable:1 t0:4 large:2 discrete:7 differential:4 immobile:2 small:2 study:1 markov:5 optics:1 heading:3 work:1 consistent:4 coefficient:1 direct:2 healed:1 approximation:5 located:1 imply:1 value:2 halliwell:1 incidentally:1 further:1 dynamics:7 click:1 linear:7 even:3 nonlinear:3 appear:2 dr0:1 section:6 localization:1 expressed:1 uniform:1 current:5 consistently:1 version:2 above:4 new:2 method:6 masses:1 body:1 edited:1 outgoing:7 full:2 notions:1 exchange:2 respectively:3 qm2:1 here:11 understanding:1 focused:1 ansatz:1 represented:1 consideration:1 along:1 standard:4 equations:8 alicki:1 change:3 contribute:1 obtained:3 great:1 drops:1 incoming:5 exemplified:1 rigorously:1 shift:1 leaves:1 completely:4 denominator:1 example:1 suggests:2 atom:1 resulting:2 pictorial:1 action:1 complicated:1 bookkeeping:1 changes:2 broglie:1 quotient:1 golden:1 via:1 spatially:1 projection:2 hornberger:7 scales:1 apr:1 transit:3 outcomes:1 expect:1 resolutions:1 total:11 planck:1 use:4 takes:3 would:5 commun:1 sake:1 positive:5 contains:2 chooses:1 calculation:6 explicitly:1 therefore:4 fixed:1 conservation:4 type:1 theoretical:2 reflects:1 more:5 clearly:1 conclusions:1 naive:1 odinger:1 confused:1 tested:1 long:1 reversible:1 normalized:8 particular:6 known:1 foundations:1 eα:6 potential:1 must:5 states:15 account:6 include:1 ρe:10 permits:2 pout:2 decay:1 equation:37 averaged:1 ρl:2 suggestive:1 infinitesimal:2 obvious:1 evolved:1 following:4 arrive:1 scatter:2 stimulating:1 history:1 grained:1 ngas:9 figure:3 process:5 introduces:2 choice:1 allowed:2 define:2 involve:2 collision:18 minimum:1 sense:2 keep:2 occur:1 guarantee:1 lamb:1 information:3 respective:1 monitoring:8 turn:1 rather:7 imminent:1 discussion:2 means:1 berlin:6 evidently:1 write:1 far:2 nontrivial:2 pair:1 pure:1 frequencies:1 plus:2 verlag:1 priori:1 massive:1 map:1 impinging:1 sommerfeld:1 description:8 may:5 after:3 ψr0:5 applications:3 fb:2 plane:1 end:2 wave:9 parallel:2 short:1 natural:1 dynamical:1 whenever:1 correspond:1 sons:1 so:6 sm:1 correlation:2 representation:9 observability:1 order:5 typical:1 operations:1 origin:3 s0:1 interpretation:1 giulini:1 ttr:2 over:4 vacchini:6 expects:1 lahti:1 course:3 thermal:2 mαβ:10 differs:1 satisfies:1 its:12 before:2 regions:1 derive:1 longitudinal:1 monitor:1 osi:4 how:4 energies:2 dr:1 temporal:2 relativity:1 coordinates:1 forms:1 argued:1 absence:1 parts:4 microscopic:5 systems:7 constitutes:1 lq:5 main:2 defining:1 overcome:1 arguments:1 eventually:1 non:10 motivated:1 greater:1 combination:1 integral:2 outlined:1 processes:1 introduce:1 scaling:1 framework:1 effects:3 they:5 instead:1 oxford:2 rotation:1 now:6 discuss:1 it0:1 easily:1 term:2 finite:1 indeed:1 university:1 hamiltonian:3 identified:1 realistic:1 αf:2 magnitude:1 reasonable:1 each:2 disregard:1 2m:5 universit:1 characterized:4 mean:1 subset:1 inserts:1 disregarding:1 arndt:2 footing:1 weight:1 energy:9 einstein:2 gaussian:1 related:1 σp0:3 extended:2 experienced:1 factorization:1 fist:1 measurement:5 quantum:31 our:6 beyond:1 event:3 special:1 out:7 projections:1 matrix:10 space:7 electronic:1 surrounded:1 squared:1 holevo:2 particles:3 collisions:2 acting:1 vector:1 eprint:1 rel:7 denoted:1 lecture:1 induced:1 occurs:1 math:3 shows:1 perception:1 theory:23 interactions:1 diagonal:9 free:2 quite:1 admits:2 difficulty:1 approaches:2 base:1 unwanted:2 york:1 imagine:1 might:1 untransformed:1 unconditioned:1 definition:4 pairs:5 interaction:14 βp:1 derivation:3 language:1 r3:1 starts:1 reexamined:1 transition:2 evy:1 times:3 motion:4 introduction:2 length:1 place:1 exponentially:1 incorporated:3 assumed:1 hence:1 linearized:1 onto:1 first:3 separable:2 initial:2 probability:8 kernel:1 relate:1 number:2 transform:1 channels:2 weak:2 nonperturbative:2 directly:1 lau:1 open:8 given:11 necessarily:2 temperature:4 indicate:1 unitarity:3 system:28 tot:18 their:6 assumption:4 master:22 hypothetical:2 rates:1 dfg:1 john:1 weights:1 final:2 gives:1 petruccione:2 shell:2 passed:1 enhancing:1 trapped:2 continuous:7 serve:1 wiley:1 transverse:1 environmental:9 part:1 schr:1 translation:1 representing:1 than:3 coefficients:3 detection:3 determines:1 reason:1 accordance:1 sections:4 approximations:1 summary:1 rate:21 limiting:4 matter:2 appealing:1 determined:4 amplitude:7 were:2 measure:1 distinguished:1 perturbative:7 springer:6 fashion:5 mind:1 needs:1 discussions:1 need:1 null:1 tells:2 viewed:6 option:1 strength:1 realm:1 minimally:2 zero:1 min:5 efficient:1 convenient:3 latter:2 note:2 ideal:3 without:1 square:2 generalized:3 analogy:1 perturbation:1 scatterings:1 modulus:2 switching:1 channel:3 decoheres:1 towards:2 fundamental:1 trace:2 shall:1 decreasing:1 molecule:4 joos:1 most:3 boltzmann:7 involving:2 germany:1 position:1 phase:5 colliding:3 interferometry:1 check:1 probes:1 found:1 observation:1 average:2 differ:2 optical:1 exp:3 velocity:2 physics:3 sum:1 fact:5 incorporate:2 thomas:1 violation:1 random:1 scattered:1 talbot:1 purely:1 indicates:1 relation:2 schenzle:1 find:1 multichannel:1 specifically:1 based:4 knowledge:2 dp0:5 implementation:1 situations:1 writes:1 written:3 operational:1 identifies:1 only:7 going:3 specify:2 factor:1 employed:1 zeh:1 theresienstraße:1 coherences:1 do:1 mixture:3 keeps:2 dk:1 notation:2 get:1 dependent:3 de:1 expectation:2 αi:3 cannot:2 kiefer:1 invariant:3 during:2 dt:1 quantifies:1 collisional:7 gen:1 dp:2 dq:3 evolution:3 fields:1 arxiv:1 yield:2 consisting:1 λp0:2 europhys:1 common:2 though:2 contain:1 describes:2 discussing:2 view:2 satisfy:1 requirement:4 set:2 constructing:1 correlations:1 respect:1 packet:4 relative:4 mentioned:2 depends:4 individual:4 result:10 fail:1 recently:1 αp1:1 uncorrelated:1 incorporating:1 interacting:3 macroscopic:1 away:2 motional:2 yet:1 tantamount:1 state:33 various:1 closed:1 between:3 incompatibility:1 noting:1 geometric:1 approach:7 available:2 multiplied:3 program:1 p2f:1 terms:7 creating:1 importance:1 p2i:1 sγ1:1 however:4 observed:1 maximilians:1 premise:1 bose:2 configuration:5 problem:2 thank:2 both:2 instant:1 triggers:1 many:2 taking:1 uncertainty:1 equal:2 display:1 enabling:1 contribution:4 expression:5 finds:2 otherwise:1 detailed:1 relevant:2 timescale:1 point:7 simple:1 invasive:2 cf:1 2nd:1 improper:3 alone:1 simply:2 hackerm:1 moreover:4 stamatescu:1 speak:1 semigroups:1 decohere:1 atmosphere:1 described:6 transformations:2 second:4 basis:8 addition:1 trajectory:1 three:1 brezger:1 workshop:1 pf:9 coarse:1 judging:1 expected:1 ph:2 pi:18 fig:3 direction:2 describe:8 corresponding:6 quantities:1 carmichael:1 formed:1 gas:29 coincides:2 ρgas:4 coherent:1 understand:1 improved:1 general:13 fokker:1 present:8 applied:2 p0:30 klaus:1 eβ0:1 macromolecules:1 gradual:1 eix:1 appearance:2 arnold:1 remaining:1 will:15 while:3 p2:4 replaced:1 behavior:2 involved:1 di:3 ill:2 noether:1 cylinder:1 phenomenological:1 thus:7 them:3 conditioned:1 itself:1 turns:1 affected:2 busch:1 interacts:1 conserve:1 different:8 unaffected:1 since:9 prior:1 supported:1 acknowledgments:1 make:2 cross:9 same:1 any:6 shorter:1 shifts:2 unity:1 complex:6 quant:2 split:1 modification:4 limitation:1 gets:1 ludwig:1 events:2 prerequisite:1 tγ1:8 development:1 independent:3 used:2 see:8 trajectories:6 effect:3 hand:1 effectively:1 uses:1 hans:1 robust:1 circumvented:1 normalization:6 recent:1 kupsch:1 task:1 off:5 center:1 bringing:1 records:1 edition:1 restricted:2 well:5 concrete:2 epl:1 contact:1 involves:2 components:2 consistency:1 epf:1 quantitative:2 self:1 researchers:1 βp1:1 just:1 less:1 generally:1 ldi:1 obtain:4 disperse:2 world:2 uller:3 momenta:4 scattering:34 eigenstates:4 previous:2 heuristic:1 enters:1 monitored:1 generator:1 density:7 consequence:2 cl:3 guaranteed:1 mave:1 valid:3 transformed:4 treatment:2 easy:1 theorem:1 relevance:1 lendi:1 transformation:5 momentum:23 take:6 real:2 inelastic:2 thermalized:1 evaluate:2 possible:3 munich:1 elapsed:1 test:1 press:1 using:5 replace:1 detector:5 formal:1 modifications:1 confine:1 like:8 particle:38 should:6 reduces:3 lett:5 serves:1 noted:1 specific:1 qm:1 yields:4 either:2 evolutions:1 works:1 stationary:1 reduced:3 replacement:1 traced:1 often:2 classical:6 some:1 back:2 born:3 added:1 sight:1 specified:3 proper:2 another:1 provided:3 scale:1 describing:2 affects:1 measurements:3 mγγ:2 integration:3 manifestly:1 does:2 decomposition:1 provides:2 assuming:1 prob:5 demonstrated:1 inserting:2 object:3 infinitely:1 equivalent:1 predicting:1 perpendicular:2 expansion:1 step:3 although:1 accommodated:1 λth:1 refers:1 hilbert:2 superpositions:1 about:3 emmy:1 discussed:5 dependence:6 o:1 probabilities:2 extensions:2 importantly:1 introduced:2 slightly:1 projectors:2 restrict:1 organizers:1 individually:1 outset:1 rev:10 markovian:4 presence:4 orders:1 maxwell:3 into:13 within:1 obtaining:1 due:4 down:1 agreement:1 weighted:1 accounts:1 determine:1 transfers:1 operator:12 proportional:1 methods:1 van:1 elastic:2 area:1 transfer:2 support:1 there:2 approximate:2 fast:1 much:1 low:2 way:2 forward:1 conceivable:1 was:5 uncontrollable:1 naturally:2 function:11 considerably:1 gaseous:4 interferometer:1 form:16 phenomena:1 m2:1 denoting:1 but:6 volume:4 elze:1 properly:1 delta:3 lindblad:2 level:1 dissipative:1 adler:1 understood:1 whether:2 dω:1 2πm:1 up:1 us:6 below:2 limit:9 thermalization:1 continuously:2 distribution:6 fαα:1 similar:1 called:2 obtains:2 mechanics:1 his:2 taylor:1 replacing:1 entering:1 pin:3 defined:6 diffraction:2 abstract:1 combining:1 covers:1 denote:5 single:8 together:1 formulation:1 internal:2 defines:1 effected:1 again:2 functions:5 compared:1 faithful:1 no:5 eα0:3 when:6 vanishes:2 application:2 setting:1 re:1 spatial:3 hove:1 dkl:1 really:1 operators:6 picture:3 superposition:2 sipe:2 subspace:1 breuer:1 helpful:1 meaning:1 important:2 additionally:1 dissipation:5 fermi:2 reassuringly:1 structure:1 zeilinger:1 condensation:1 implies:4 coupling:4 practically:1 assume:2 starting:1 proposed:1 interval:2 packets:3 dσ:1 rule:2 having:1 4m:1 mass:1 time:17 decoherence:18 backward:1 resolution:2 original:2 covariant:1 |
0704.3061.txt |@word represent:1 now:15 partial:9 consider:22 funct:1 equalities:3 informally:1 results:5 invent:1 four:2 proposition:11 grateful:1 consists:2 follow:3 subobject:1 gl:19 rectangles:1 gr:16 devoted:1 whose:4 tt:6 contained:2 containing:2 uniqueness:3 ddh:4 present:4 th:9 under:3 analogous:1 must:1 norm:2 degeneration:9 consequently:1 end:1 springer:1 choice:1 eeee:1 corollary:1 entries:1 parameter:1 matrices:1 deformations:1 categories:1 dim:39 map:1 squares:2 presented:2 turns:1 list:4 make:1 occurs:4 admissible:9 vector:20 o1:2 3b:1 anal:1 ddd:20 homomorphism:1 configurations:8 upper:1 aaa:1 smaller:3 direct:15 jump:1 go:1 second:3 zz:3 pass:5 further:1 situated:12 canonical:1 bilinear:1 appear:2 section:15 remain:1 combin:1 subspaces:11 sup:2 3c:2 replaced:4 3a:1 d1:1 consisting:3 injections:1 full:6 simultaneously:2 notions:2 degree:2 respectively:3 equals:7 here:4 gggg:1 following:21 ggg:9 objects:64 sink:13 address:2 represented:1 path:3 along:2 standard:5 change:1 morphisms:3 obtained:12 remark:2 incoming:1 technical:1 root:1 study:2 vectors:8 allows:2 smalø:1 contradiction:6 example:4 resulting:2 exceed:1 action:6 deg:6 sci:2 uniquely:2 via:1 useful:2 subcategory:2 classification:2 xcc:2 apr:1 vii:1 marked:3 fake:3 apply:8 indecomposability:1 total:2 establish:1 theory:2 use:3 additive:1 indicated:1 would:2 prove:3 distinct:1 e1:1 contains:4 arms:1 next:4 qqqq:1 bases:1 call:1 reductive:1 iαj:5 taken:2 ii0:4 quotients:1 type:36 corners:4 more:4 formally:2 subcases:2 kn:2 chessboard:1 flag:28 tttt:4 proceed:2 particular:8 known:1 cases:9 hold:3 iii:23 iij:86 involve:1 account:1 defines:2 ers:1 deformed:1 recall:3 work:1 iα0:7 quivers:9 mv:6 stabilizer:1 fla:4 flc:1 flb:1 my:1 fld:3 def:1 proof:19 f0:2 f1:2 weaker:1 quiver:25 vv:6 figure:5 give:4 permutations:2 smirnov:2 ann:2 algebras:1 states:1 numbers:11 degenerate:2 sense:1 hhh:31 conversely:1 occur:2 guarantee:1 xxxx:2 goal:1 provide:1 aff:1 means:13 nondiagonal:1 regions:12 how:1 criterion:4 dotted:1 instead:1 explains:1 classify:1 belongs:2 fp:2 classifying:1 product:7 fs:2 description:8 algebra:2 replacing:3 after:2 orbits:32 qqq:11 ff:17 zij:3 evgeny:1 representations:8 horizontal:1 fl:9 types:1 hoc:1 short:1 varieties:13 third:4 ss:1 lemmas:2 explicit:2 correspond:6 element:10 perform:2 ones:3 so:29 sm:3 i21:1 intersect:1 representation:6 xxx:7 unipotent:1 order:37 michel:1 operations:1 hom:1 interpretation:2 indeed:2 over:4 move:17 i25:1 i02:1 i03:1 paper:11 through:1 same:10 signs:2 mentioned:1 fff:12 diagonally:2 its:24 grzegorz:1 before:4 iiii:2 difference:1 group:5 thank:1 maps:3 summands:6 interesting:1 fix:4 appl:1 coordinates:2 writing:1 forms:1 condition:8 covered:1 main:3 defining:1 deformation:1 correspondence:2 qq:8 them:4 combination:1 was:2 obtaining:3 outlined:2 indexing:4 introduce:5 flipping:1 yy:27 yields:1 they:6 brion:1 discuss:1 above:2 easily:1 february:1 finite:10 equality:8 always:3 university:2 arrows:7 possibilities:1 iff:4 inequality:9 2a:1 2b:1 each:22 found:1 transferring:1 characterized:3 subobjects:4 en:1 iiα:1 may:5 ej:54 ee:28 series:2 idea:1 ec:2 roads:5 our:10 mapping:1 differ:1 out:2 category:6 respects:1 shown:2 matrix:1 rr:9 space:5 open:2 rep:7 since:6 combinatorial:4 acting:5 geom:1 reader:1 denoted:5 i41:1 suffices:2 ri:3 math:6 rk:9 linear:10 reformulated:1 diagonal:3 possibility:2 quite:2 admits:3 completely:2 vai:18 complicated:1 term:18 maths:1 beginning:4 e0:3 definition:19 pairs:1 bring:1 starts:1 similarly:5 modules:1 iαβ:9 turn:1 int:7 maximality:3 hence:1 projection:1 think:1 first:14 initial:17 martin:1 bijection:2 twice:3 schubert:1 number:8 rank:13 restrict:1 xx:9 ars:6 done:2 relations:2 another:7 i42:1 i43:1 size:2 passes:1 given:22 rightmost:2 minimality:1 degenerations:7 introduction:1 leading:1 top:1 zelevinsky:3 1a:1 their:4 1c:1 1b:1 listed:1 saint:1 convention:4 white:1 gives:4 stars:1 reversed:1 exactly:12 double:1 cccc:2 assumption:1 part:1 j2:19 authors:1 than:9 bongartz:4 finitely:1 determines:1 i33:1 i32:1 i31:1 namely:3 claim:1 weyman:2 pairwise:1 supposed:1 treated:1 russia:1 occurences:1 bhh:1 rooks:1 false:1 subvarieties:1 ϕij:5 auslander:6 concludes:1 curves:2 ka2:1 say:3 need:2 seen:2 orders:5 mountain:1 zero:2 depending:1 studying:1 latter:5 aa:1 nuc:4 oriented:3 k2:3 without:1 take:13 interior:3 essential:1 degenerated:1 moscow:2 kac:2 formulas:2 begin:3 sequel:1 multiple:9 shall:2 eee:9 object:34 systems:1 depths:1 most:4 ker:3 involving:3 connected:3 position:1 pair:12 homogeneous:3 acknowledgements:1 extremely:1 bolshoi:1 kc:1 kb:1 ka:2 riedtmann:2 observation:1 considered:1 clear:2 later:2 ko:2 vertices:43 drawing:1 graphs:2 bracket:1 usual:4 sum:10 fact:1 joining:2 show:5 ddf:1 least:3 ending:1 purely:2 multiplicities:4 relation:3 decompositions:1 corner:1 trivial:1 find:1 principal:1 copies:1 jg:1 folded:1 terminal:9 lemma:15 only:6 explicitly:2 black:1 subsection:3 parabolic:5 des:1 rectangle:7 dm:1 dominant:11 goes:2 jumps:2 di:1 occuring:12 dd:64 attacking:1 sss:2 cannot:1 belong:4 longest:1 words:1 invariant:2 combinations:1 indecomposables:14 ttt:5 dp:6 closure:7 qp:25 runs:1 determinants:1 evident:2 course:2 approach:3 arxiv:2 method:1 book:1 i01:1 grassmannians:3 contain:3 fixed:3 bulky:1 kernel:1 set:20 constructing:2 exists:9 notational:1 omitting:1 j0:3 j1:19 closures:4 j3:4 see:8 result:7 existence:1 discussions:1 terms:1 arm:2 eres:1 said:8 inequalities:7 iβi:2 ways:2 iβα:4 representatives:2 symmetric:2 closed:9 between:11 affecting:1 probably:1 geometric:3 conditions:4 knowing:2 adv:2 triples:1 missing:1 uuu:1 analogues:1 attention:2 weak:9 however:3 ww:7 vanishing:1 cut:1 hypothesis:1 subgroup:6 distinguish:3 configuration:8 holds:3 topology:1 both:2 last:5 desired:2 many:1 taking:7 equal:15 rrr:2 families:1 figures:2 comes:3 otherwise:4 comment:1 among:1 point:2 cc:41 corresponds:3 dimensional:9 ii:166 cr:2 throughout:5 speak:1 mccme:1 pp:12 pq:1 described:3 generality:1 source:12 union:1 zigzags:2 three:22 strategy:2 ai:9 describes:1 interest:1 jc:1 unchanged:1 empty:1 define:9 dots:1 corresponding:33 going:1 concerning:1 formed:7 subspace:1 coincides:1 neighbor:2 andrei:1 representative:6 mail:1 c1:1 general:12 dh:18 former:1 those:3 case:30 init:10 subsets:5 ij:41 ka1:1 will:20 proves:2 suppose:9 dedicata:1 eii:1 indecomposable:43 property:5 region:34 procedure:1 maximal:5 vb:3 larger:3 satisfying:5 vi:3 vj:1 ir:1 thus:3 non:7 vn:2 according:3 vp:2 vq:2 vr:2 itself:2 triple:7 ready:1 spaces:3 different:9 dhh:3 lengths:1 subquiver:3 i22:1 i23:1 i24:1 magyar:5 enumeration:1 any:5 split:1 proved:7 several:1 composition:1 independent:1 extended:2 dimf:7 slightly:1 paths:2 i1:9 vvv:6 i3:2 i2:10 i5:3 i4:2 v1:4 πij:3 uses:2 infinite:1 six:1 subgroups:3 fourier:1 shortly:1 center:3 curve:4 no:7 well:2 obviously:3 helv:1 edge:2 flags:8 components:1 sets:2 entry:4 ccg:2 ccf:1 dimension:26 ccc:6 left:1 spherical:7 construct:2 less:7 vvvv:4 obtain:5 rest:1 va:1 facts:1 previous:1 vd1:1 note:2 vd2:1 family:3 instance:2 guaranteed:1 except:1 counted:1 simple:3 add:1 setting:1 transformed:1 versa:1 theorem:3 contrary:2 guarantees:1 iα:10 iγ:10 repetitions:1 sums:8 possible:3 spanned:1 summand:3 possibly:1 knop:1 outcoming:1 know:2 background:1 press:1 appearing:1 unique:2 poset:1 mod:1 loss:1 necessary:1 like:2 follows:19 specific:2 steps:1 either:2 arbitrary:8 vdi:1 works:1 vdm:1 reduced:1 circles:3 www:12 right:4 methods:1 classical:1 sequence:4 some:5 algebraically:2 yyyy:2 b0:1 b1:4 b2:2 table:1 images:1 zariski:1 ourselves:1 nonzero:7 provided:1 describing:1 dimensions:5 nonempty:1 2f:1 per:1 prop:9 everything:1 does:4 decomposition:8 provides:2 bifurcates:1 eei:1 leftmost:3 intersections:1 imply:1 o2:1 minimal:14 refer:1 ij0:1 zzz:6 bb:7 performed:1 equivalent:2 2c:1 bj:4 rue:1 componentwise:1 step:2 bq:4 desingularizations:2 bruhat:4 notation:5 properties:6 injective:1 simpler:1 about:2 oi:1 algebraic:2 column:2 basis:2 discussed:1 o:16 page:3 convenient:1 range:1 kap:1 extensions:1 rule:1 oy:25 nucleus:5 introduced:1 i0:4 other:14 road:6 subset:2 cambridge:1 inclusion:2 bbb:1 into:12 within:1 yyy:28 isomorphic:3 due:2 down:1 ppp:5 references:1 determine:1 elementary:21 ei:41 france:1 vaj:32 rows:2 institut:1 deal:1 combinatorics:3 strictly:3 there:34 tame:1 ordered:2 strict:4 borel:2 way:3 vap:3 ehresmann:1 lowest:1 complete:3 form:23 forming:1 converse:2 but:7 uuuu:1 hh:19 construction:1 encoded:1 line:5 true:2 partially:1 pi:6 consist:3 whether:2 multiplicity:2 bbbb:2 up:4 us:21 assume:4 below:7 reiten:6 ui:4 verification:2 problem:2 va1:2 similar:3 called:10 originating:1 constant:1 ad:1 ag:1 defined:10 certain:9 abstract:1 describe:7 am:1 denote:13 ap:10 chap:1 ar:13 exist:2 together:1 organised:1 ind:2 pppp:2 pir:2 moves:9 check:1 artin:1 constructed:3 again:5 gg:19 variety:17 dashed:1 nb:1 when:5 field:4 interested:1 shows:2 rt:1 draw:1 elements:8 star:1 calculating:1 ru:1 vertex:11 includes:1 a1:6 a0:2 a2:1 ground:2 graphically:1 pi1:1 structure:2 bilinearity:1 implies:6 vice:1 i15:1 i14:1 rs:2 i11:1 orbit:18 i13:2 i12:1 equivalently:1 depth:1 moreover:4 richardson:1 having:7 |
0704.3062.txt |@word limited:1 partial:1 represent:1 results:4 four:2 osa:1 disk:4 poorly:1 depend:1 tr:1 excluded:2 stable:1 analogous:1 include:1 kraus:1 very:3 santangelo:1 rise:1 6th:2 presented:3 boynton:2 large:1 coventry:1 sand:1 upper:1 revolution:2 consistent:1 pulse:42 fold:1 zero:1 spectroscopy:3 spectral:2 index:2 what:1 blum:1 contributed:1 astrophysik:1 version:1 middleditch:1 new:1 method:2 revealing:1 reported:2 along:1 strong:2 change:7 7kev:1 obtained:2 search:1 parameters:5 cts:4 institute:5 shift:1 study:1 studied:2 exceptionally:1 amount:1 simultaneous:3 resulting:1 historical:1 usually:1 makes:1 via:1 useful:1 scales:2 apr:1 marginal:1 highly:1 apj:10 decrease:1 use:1 figure:7 would:1 φorb:1 contains:1 few:2 therefore:1 noisy:1 separated:1 apparent:3 occurred:1 transient:1 particular:1 high:5 account:1 science:1 averaged:6 eclipse:2 debated:1 performed:5 indicated:1 courvoisier:1 states:3 indicates:2 numbers:1 sharp:3 counting:1 firmly:1 needs:1 monitoring:1 precessing:2 discussion:1 feature:1 varies:1 gursky:2 revs:3 parameter:1 profile:4 blocks:1 modulation:1 after:4 explored:2 value:1 law:1 data:13 mjd:4 short:4 dynamical:1 pulsations:5 light:6 spectra:1 lines:4 sigma:2 so:1 correlation:2 order:1 typical:1 developed:2 astronomical:1 insight:1 vary:1 confirm:1 interpreted:1 timing:1 through:1 peterson:2 still:1 its:2 before:2 observational:1 fit:2 la:1 hot:1 fig:4 inaf:1 covered:1 main:8 them:1 good:2 combination:1 band:1 they:1 day:1 represents:1 university:2 each:1 found:3 tilted:1 significantly:2 ed:1 energy:10 gaussian:3 related:1 manifests:1 literature:1 iasf:2 24s:1 ons:1 substantially:1 our:2 shown:2 space:4 rev:11 research:4 amplitude:1 offline:1 orbitally:1 correct:1 shows:8 pietsch:1 linear:1 mechanisms:1 free:1 standard:1 complicated:1 dubna:1 e0:2 asm:2 flare:2 transition:1 days:2 times:2 turn:4 first:2 malfa:1 warped:1 done:1 directly:1 pulsar:1 rxte:6 quality:1 checked:1 introduction:1 top:4 system:3 adopted:1 their:3 confirming:1 accretion:4 observations:15 dfg:1 gives:1 sternberg:1 moscow:5 rejected:1 optical:5 ubingen:1 authors:1 july:3 than:3 relative:1 observatory:1 sta:1 second:1 preparation:2 contrary:1 iron:3 were:2 tion:1 jem:10 steep:1 russia:2 pre:1 function:3 sai:1 counter:1 correction:1 spectrum:9 curves:2 discussions:1 substantial:1 l53:1 seen:2 apparently:1 clearly:1 ray:23 wilson:2 documents:1 astronomie:1 responsible:1 extracted:1 fitting:2 edge:1 kahabka:1 channel:1 added:2 most:2 significant:2 position:8 phase:25 measured:2 observation:1 pulsation:1 average:1 cover:1 proceedings:1 part:3 leahy:1 physics:3 slope:4 show:3 text:2 supported:1 discovered:1 find:1 based:1 spite:1 zte:1 distributed:2 failed:1 only:1 emitting:1 alternation:1 do:1 over:2 di:2 cannot:1 words:1 tungsten:1 during:6 evolution:3 precession:3 luminosity:1 arxiv:1 rothschild:2 acknowledgments:1 prokhorov:1 uhuru:1 scott:2 cycles:3 view:1 constructing:2 reference:2 sensitivity:1 observed:5 see:8 result:1 cyclotron:10 best:3 subject:1 phases:1 nuclear:1 umper:1 dlr:1 state:6 between:3 available:1 variability:4 august:2 vertical:1 tsygankov:2 points:1 cycl:3 key:1 kev:23 0r:1 both:4 folding:2 many:2 region:1 decay:4 ferrigno:1 und:1 l143:1 ch:1 period:17 grants:2 stretched:1 deeter:1 throughout:1 postnov:2 due:4 been:4 mark:1 χ2red:1 much:1 warwick:1 coburn:1 ph:4 walter:1 corresponding:6 25m:1 photon:2 precision:1 observers:1 systematic:2 station:1 spin:3 present:1 measuring:1 exponential:1 solid:2 profiles:14 aim:1 near:1 behavior:3 error:1 eclipses:3 staubert:3 larger:1 lutovinov:2 surface:1 ii:2 middle:4 itself:1 voges:3 orbital:3 binary:3 different:7 revolutions:2 italy:1 grant:1 same:2 any:2 epoch:2 supplements:1 split:1 xspec:2 shakura:2 howarth:1 neutron:6 higher:2 satellite:3 used:6 http:1 peaks:1 complemented:1 changing:1 sunyaev:2 cycle:1 task:1 off:4 modeled:2 well:3 analysis:6 without:1 residuals:2 sets:1 accreting:2 model:6 binaries:1 left:2 salvo:2 soong:3 just:1 less:1 being:1 shape:6 intervals:4 previous:1 rapid:1 conclusions:1 absorption:2 source:7 inner:1 match:1 foschini:1 resolved:5 isgri:9 around:1 vertically:1 bands:4 harmonic:1 kellogg:2 background:1 using:1 shoulder:2 palermo:2 churazov:2 workshop:3 disks:1 shapes:1 flux:7 belyaev:1 segreto:1 performing:2 some:3 library:1 rffi:2 understood:1 scale:3 ogelman:1 lead:1 bottom:3 extensively:1 mineo:1 does:2 centroid:2 provides:1 proc:3 inclination:1 cgi:1 power:1 processing:2 rus:1 panel:7 package:2 discussed:1 o:1 range:1 tananbaum:1 positive:2 software:3 cutoff:2 equally:1 presence:1 instruments:1 into:2 integral:11 down:1 because:1 references:1 correla:1 telescope:1 uncertainties:2 institut:1 additional:1 her:14 support:1 there:2 width:4 pa:1 low:5 stars:1 jinr:1 astrophysics:1 unige:1 was:6 hz:2 great:1 dips:5 basic:1 astro:4 giacconi:2 gain:1 solar:2 mnras:2 line:27 partially:1 pulsars:2 variations:3 up:1 ur:1 below:1 uk:1 wilms:3 similar:1 called:2 constant:2 int:1 abstract:1 measure:1 evidence:1 isdc:2 right:2 crimea:1 work:4 trailing:2 gruber:2 physical:1 compared:1 discriminate:1 dotted:2 no:1 dashed:3 detail:1 other:1 details:1 department:1 explaining:1 star:5 models:2 emission:1 peak:2 structure:1 jones:1 independently:1 l63:1 beckmann:1 assume:1 obscuration:1 interval:2 curve:5 depth:1 mass:2 nelson:1 time:15 resolution:3 |
0704.3063.txt |@word limited:3 monte:15 measurements:3 sci:1 angles:1 chain:10 excepting:1 magnetic:2 briere:2 results:6 four:4 quadrature:5 consists:1 abundant:1 contributions:1 layers:2 increase:2 γx:1 referring:1 mπ0:1 axial:2 effort:1 subjected:1 mismodeling:4 selen:2 including:4 environment:1 charge:1 cesr:4 those:1 th:1 under:1 cinabro:1 luminosity:3 lack:1 amplitudes:2 consequently:1 zhang:1 very:2 none:1 luminosities:1 electron:5 orner:2 polytechnic:1 mixing:4 vastly:1 difference:3 condition:1 syracuse:2 northwestern:1 dubrovin:1 level:7 correct:1 large:6 vector:7 dealt:1 selecting:3 fairfax:1 warburton:1 possibility:1 upper:18 smaller:5 percentages:1 miller:1 consistent:9 estimates:1 direct:2 second:1 evaluated:2 picked:1 naik:1 chen:1 further:7 carlo:15 ehrlich:1 employ:1 sub:4 representative:1 chicago:2 giving:1 sun:1 sum:5 interactions:1 while:1 expressed:1 uniform:1 3i:1 experiment:1 above:3 fractional:1 new:8 net:5 order:7 amounting:1 contrast:1 body:1 athar:2 whose:2 respectively:9 unobserved:1 vanderbilt:1 ionization:1 tracks:18 mev:4 clns:1 cos2:1 excess:1 alone:2 ratio:4 along:2 strong:1 mayaguez:1 obtained:7 luther:1 daughter:1 dividing:1 institute:2 involved:2 study:3 vectors:1 through:2 depositions:1 resulting:3 procedure:1 poisson:1 resonance:1 studies:4 imaging:1 via:1 love:1 ratios:1 gluons:3 apr:1 requiring:7 manage:1 engineering:1 highly:1 expect:1 uger:1 decrease:1 b229:1 total:1 denotes:1 select:2 confidence:6 absence:1 proceed:1 would:3 distinct:2 chi:7 predictions:4 next:1 comparing:1 sample:6 noting:1 m1:1 qcd:3 taken:1 indiana:3 thorndike:1 type:2 theoretical:3 yelton:1 fractions:4 mellon:1 muramatsu:1 naive:3 distribution:12 long:1 department:1 investigation:1 particular:2 calorimeter:14 cases:3 iii:10 must:4 high:9 account:1 include:2 ma:4 mc:2 mb:2 science:1 challenge:1 work:1 anastassov:1 values:6 following:1 meet:1 trans:1 example:1 performed:1 claim:3 f2:2 transition:1 wang:1 figure:6 do:3 process:5 methodist:1 accept:1 states:1 kandaswamy:1 minimum:1 numbers:2 council:1 allowed:2 standard:1 counting:1 looser:1 information:2 respective:1 csi:2 decaying:6 provide:2 s1:1 six:1 feature:1 regions:3 necessary:1 sia:1 rubin:1 criterion:3 g33:1 dominance:2 profile:3 product:1 tried:1 copiously:1 after:5 southern:1 confirmed:1 demanding:3 mendez:1 diagram:1 tries:1 produce:1 fits:3 requirements:2 destructive:1 data:19 response:4 constants:1 natural:1 whenever:1 light:3 gratefully:1 lines:1 yielding:2 redundant:1 hypotheses:1 rather:1 coan:1 so:2 sect:6 fundamental:1 cherenkov:2 ryd:2 constructively:1 exclusive:1 least:1 baier:2 ith:1 produces:1 over:2 produced:3 held:1 already:2 scott:1 statistical:7 cuts:3 nrqcd:1 peterson:2 ieee:1 its:1 sciences:1 group:1 thank:1 fit:8 decay:26 energies:1 masses:1 li:2 better:1 previously:1 quarkonia:2 production:2 fig:5 lp:5 puerto:2 might:1 texas:1 maximal:1 them:2 good:5 iowa:1 greater:3 combination:2 σde:1 uhn:1 enrico:1 scaling:3 ferguson:1 they:2 half:2 sπ:3 nor:1 reconstruction:17 restrict:1 term:1 purdue:1 even:2 fully:1 university:21 redjimi:1 backgrounds:2 detroit:1 oppositely:4 magnitude:2 mode:29 heltsley:1 each:10 kl:1 found:5 referred:1 heavy:6 significantly:2 2s:1 hadronic:3 writeup:1 energy:24 hard:1 reduce:1 gaussian:4 decays:19 eisenstein:1 measurement:2 our:24 beyond:3 event:8 es:3 out:2 canada:2 shown:6 napolitano:1 matrix:1 restricted:1 oklahoma:2 urbana:1 squared:8 interspersed:1 mason:1 particles:2 qb:2 dominated:3 sloan:1 dominate:1 krammer:1 integrated:2 red:2 common:3 foundation:2 earlier:1 angular:1 theory:1 normalized:2 lawrence:1 veto:1 derived:3 million:1 free:3 quark:2 statistics:4 york:6 training:1 estimate:4 likelihood:15 care:1 pairs:3 interaction:3 widths:2 area:9 florida:2 fb:1 times:4 silicon:2 rosner:1 instrum:6 incorporated:1 appropriateness:1 hadrons:2 assign:4 first:3 origin:1 initial:4 probability:2 variables:1 number:6 comprised:1 channels:1 γp:3 employing:1 done:1 approximately:2 ring:3 quality:4 george:1 stage:1 size:1 brock:1 1s:101 toy:1 geant:2 indicate:1 introduction:1 leading:1 top:3 γηb:1 system:8 xin:1 their:5 intermediate:2 rates:1 listed:2 patterson:1 white:1 scheme:1 final:4 inner:1 excellent:1 kubota:2 pittsburgh:3 asner:1 park:1 yield:6 prediction:4 w5013:1 nominal:4 butt:1 constituent:3 solenoidal:2 than:22 detection:3 galik:1 showed:1 double:3 require:3 neural:5 tree:1 zero:3 aims:1 shower:4 minimize:2 determined:5 rensselaer:1 iron:1 were:6 providing:4 schneider:1 perturbative:1 function:9 fashion:1 well:3 few:1 randomly:1 conditions:1 pedlar:1 close:1 constrained:6 any:5 relatively:3 mountain:1 conversion:1 rochester:2 built:2 dallas:1 efficient:2 studying:1 latter:1 highland:1 mechanism:1 predominantly:1 liu:1 build:4 detector:12 channel:8 blue:2 5b6:1 added:6 multiple:2 norman:1 ecklund:1 track:11 collaboration:8 incidence:1 satisfy:2 exercised:1 involving:3 cummings:1 significant:2 cronin:2 pair:3 coil:1 measured:5 appear:1 branching:13 stereo:2 observation:1 sde:3 calculated:4 detectors:1 ramirez:1 ks:1 kr:1 reaction:1 electrons:1 clean:2 nuclear:1 constrain:1 left:2 physics:1 section:2 fact:1 b335:1 besson:2 selection:13 particularly:1 show:1 overlaid:2 text:1 authors:1 nυ:5 purely:1 troy:1 registers:1 relation:1 participate:1 threshold:1 find:9 staff:1 finally:2 bonvicini:1 parameters:1 trigger:8 cousins:1 explain:1 proportion:1 minnesota:2 supported:1 penalty:1 rico:2 only:4 wayne:1 candidates:26 about:1 rich:3 factor:10 various:2 achieve:1 shepherd:1 his:2 hit:1 gev:9 klein:1 wide:1 since:2 champaign:1 michigan:1 de:6 overall:4 expectation:1 preferred:1 pions:1 ones:1 dx:11 invariant:15 report:3 reconstruct:3 duboscq:1 alexander:1 gray:2 processes:3 contributes:3 shipsey:1 continuum:2 fields:1 arxiv:1 rate:1 factorization:1 summary:1 qc:2 severini:1 processed:1 though:1 masek:1 shi:1 fixed:4 interference:1 black:1 poling:1 requirement:5 set:1 achieved:3 imposing:2 sensitivity:6 box:1 maximum:2 observed:12 collectively:1 namely:1 college:1 cleo:30 chambers:1 subject:1 reconstructing:4 αs:1 wire:2 consistency:2 pattern:1 equal:1 wiss:1 rejecting:1 smallest:1 skwarnicki:1 state:5 cassel:1 identification:2 between:5 limit:19 neither:2 approach:5 multiplied:1 program:1 attention:1 terms:1 relative:1 targeted:1 nashville:1 combining:1 however:6 efficiency:19 hypothesis:4 huang:1 analyzed:1 suppressed:4 lopez:1 kinematic:1 received:1 cos:2 improved:1 limits:11 triggers:1 many:2 taking:1 uncertainty:17 deposition:1 agree:1 april:1 dated:1 ernst:1 passing:1 mean:2 lateral:3 experimental:2 among:1 relevant:1 cl:1 had:1 address:1 corresponds:1 proton:1 tennessee:1 simply:1 maximize:1 grozin:2 polynomial:2 respect:1 pseudoscalar:7 dobbs:1 considering:1 described:3 deep:1 source:2 addition:2 west:1 acceptance:4 radiative:17 three:10 been:8 strategy:1 pb:1 yao:1 much:1 combined:19 richichi:1 collected:5 anomaly:1 riley:1 choose:1 loosely:1 arises:1 corresponding:7 samples:3 both:3 suppress:2 sufficient:2 formed:2 photon:25 search:11 gap:1 gao:2 ensuring:2 covers:2 systematic:20 demand:1 c2:2 general:1 assigning:1 present:1 case:5 twist:3 multi:1 karliner:1 solid:5 ǫi:4 originate:4 examine:1 value:5 will:1 cern:1 near:2 replaced:1 fiducial:7 cannot:1 error:1 region:9 carleton:1 real:2 seven:2 losses:1 pursued:1 showers:5 vogel:1 thus:2 iv:2 ii:9 middle:1 superconducting:1 return:1 investigated:1 result:2 albany:2 different:4 severity:1 sensitive:1 lengths:2 gluonic:1 radiation:1 cross:1 same:4 clearly:1 reconstructed:9 virtually:1 plates:1 several:1 events:37 higher:3 restricting:2 reach:1 kaon:1 used:9 posed:1 trajectories:1 upon:7 possible:6 constraining:1 running:1 experimenter:1 purpose:1 kim:1 hans:1 angle:4 tighter:1 relies:1 lower:2 tracking:2 modes:27 older:1 pennsylvania:2 acknowledge:1 variety:1 seth:1 roughly:3 analysis:7 without:1 allow:1 does:1 components:1 simulated:4 coordinate:1 model:3 conservative:1 charged:20 muon:2 b192:1 stringent:3 looked:1 less:7 being:4 gainesville:1 obtain:11 physically:1 detail:1 identify:2 predicts:4 summed:1 patel:1 momenta:1 ithaca:1 yet:1 previous:3 adding:3 cut:2 elo:3 candidate:46 hint:1 cornell:3 5t:1 photons:4 smith:1 except:1 evanston:1 improvement:2 signals:3 kinematically:2 add:1 combine:1 lett:2 easy:1 input:1 momentum:16 take:1 identical:1 usable:1 around:4 showing:1 γf2:3 virginia:1 np:2 pavlunin:1 five:4 background:18 using:7 accepted:1 loss:1 lincoln:1 imposed:1 adams:1 particle:5 visible:1 signal:24 performing:1 translates:1 chamber:5 bη:2 yields:1 either:3 output:2 vdm:4 reduced:1 poor:1 because:3 qed:9 arrows:1 some:1 back:2 library:1 understood:2 complete:3 table:4 extended:2 electric:1 meson:16 flux:1 quarks:1 mγγ:2 per:3 mesons:10 pseudoscalars:1 efficiencies:9 watkins:1 provides:1 assuming:1 excluding:1 chains:2 minimal:1 refer:1 measuring:1 varying:1 mahlke:1 slight:1 drift:4 use:2 constructive:1 bp:3 biases:3 although:1 includes:1 unpublished:1 gibbons:1 hadron:1 meyer:1 comparison:1 stone:1 ensured:1 constraint:9 soft:3 based:10 discussed:1 o:2 simulation:4 remains:1 range:3 ensure:2 positive:2 insufficient:2 constraints:4 slightly:1 rev:8 ηb:2 followed:1 presence:1 kuznetsov:1 into:10 within:3 numerically:1 due:7 down:1 multiply:2 appropriate:3 right:1 selected:4 determine:2 strip:1 proportional:3 theoretically:1 methods:6 uncertainties:18 ontario:1 hep:2 additional:1 dytman:2 support:1 there:4 convincing:1 nucl:9 hertz:1 brun:1 anderson:1 window:2 low:4 fraction:8 resulted:2 bloomington:1 was:11 propagator:1 ehi:3 lowest:5 lang:1 elsewhere:1 triggered:1 enough:1 forming:1 registered:1 criteria:10 but:1 expected:7 neutral:3 larger:2 versatile:1 he:2 k1s:1 made:2 perform:1 builds:1 multiplicity:2 smooth:1 up:2 us:2 crystal:2 below:2 owing:1 fermi:1 problem:2 more:5 similar:1 clear:1 ex:2 smeared:3 gong:1 associated:5 charmonium:1 defined:3 abstract:1 describe:1 chao:4 minneapolis:1 evidence:1 artuso:2 dashed:2 single:1 together:1 research:1 simulations:2 floating:3 recalculated:1 distributions:6 endcap:3 again:2 discriminate:1 float:1 national:1 no:14 asymmetry:5 fixing:1 edwards:1 storage:2 exception:3 scaled:1 illinois:4 field:2 other:3 detected:1 normal:1 test:2 mass:30 forcing:3 offered:1 conclusion:1 deviation:2 polar:1 elements:1 denote:1 calculating:1 models:2 centered:2 kansas:2 vertex:7 bottom:2 carnegie:1 hennessy:2 generated:2 bounded:1 allowing:1 suppression:1 studied:2 barrel:4 jones:1 calculation:1 coupling:2 pion:3 required:5 curve:1 ottawa:1 savinov:1 portion:1 lafayette:1 adam:1 res:6 resolution:8 having:9 once:3 |
0704.3064.txt |@word 2m2:2 now:1 quarks:1 consider:2 remarkable:5 similarity:2 madsen:1 d74:1 suggests:1 results:5 integration:1 disc:1 mp2:2 comments:1 consists:1 follow:1 contributions:4 3m:4 compact:2 inverse:1 depend:1 calculate:3 description:1 ccdm:2 charge:2 does:3 those:1 under:1 sustain:1 include:1 cm2:1 overlaps:1 applied:1 consequently:1 zhang:2 very:12 seemingly:2 puzzles:3 electron:17 witten:2 every:1 minded:1 sensitivity:1 fall:3 existing:1 exact:1 condition:2 entire:1 ccos:4 exponential:2 presented:3 ref:2 integrating:1 michael:1 integrated:3 large:13 unrelated:4 demonstrated:1 science:1 small:5 equation:2 upper:1 dilute:1 force:1 8k:2 consistent:5 estimates:2 direct:10 literature:1 approximation:4 surrounding:1 rate:6 chen:2 further:1 20mev:1 hopefully:1 casse:1 spectral:3 established:1 what:3 appear:1 section:3 stars:1 remain:1 quark:8 current:2 poles:1 above:13 new:1 net:2 seeks:1 coefficient:2 full:2 evaluating:1 respectively:1 component:3 residual:1 here:5 understanding:1 beacom:2 objects:3 superconductivity:1 excess:20 consideration:1 along:4 standard:3 equations:1 interpret:1 obtained:4 kistler:1 remark:2 ultra:2 incoming:1 complete:3 changed:1 allows:1 contradiction:2 forbes:2 resulting:9 suggestion:1 resonance:7 sphere:1 changes:1 3µm:2 via:2 spatially:1 scales:3 annihilations:2 explained:5 scaled:1 visible:10 electromagnetically:1 total:4 unit:2 predicted:1 dne:1 conventional:4 cosmological:1 would:10 commun:1 ariel:1 finally:1 flat:1 next:2 few:6 compensate:1 therefore:4 qcd:1 taken:4 candidates:2 type:1 theoretical:2 possible:2 more:4 introducing:1 almost:6 composite:2 detail:2 apparent:1 emission:22 validity:1 appendix:6 normalized:2 particular:4 known:8 central:1 producing:1 adequate:1 must:4 me:2 states:2 account:5 ρb:2 effectively:1 avoiding:1 originally:2 work:6 protons:1 mk:2 macroscopically:1 values:5 mp:1 astrophys:9 following:2 example:2 figure:3 give:1 process:1 relativistic:4 suggestions:1 purposes:3 high:3 spi:2 assumptions:1 thus:1 council:1 allowed:1 sharp:1 simple:5 dissimilar:1 huge:2 rays:25 goal:6 decaying:1 provide:2 s1:1 s0:2 differences:1 chemical:15 how:1 hot:3 vancouver:1 behave:1 instead:4 mysteries:1 parameter:8 morphological:1 galactic:20 intended:1 may:15 max:1 earlier:1 confirmed:1 plane:1 designed:1 coming:1 data:16 types:1 stress:4 introduced:2 natural:3 effective:1 sr:4 spectra:2 lines:1 interpolates:1 rather:3 gap:1 green:2 automatically:1 allow:1 enter:1 representation:1 hermsen:1 order:6 typical:10 holds:1 zmax:10 olinto:1 produces:2 indeed:3 over:5 insight:1 expects:1 interpreted:1 produced:2 course:1 thermal:1 paper:10 including:1 hooper:1 argued:4 existence:1 kinetic:1 still:1 its:2 galaxy:9 observational:7 lepton:6 longitudinal:1 surviving:1 fit:4 decay:1 energies:5 presence:1 varies:2 detected:5 production:3 vast:1 strigari:2 latitude:1 hidden:1 main:3 might:3 into:5 macroscopic:1 non:5 good:2 motivated:1 greater:1 combination:1 weakness:1 introduce:3 bound:2 framework:2 bang:1 simply:1 subtraction:3 they:9 half:2 odlseder:1 nov:1 yr:1 nor:1 matched:1 mystery:3 represents:3 electro:1 reimer:2 nugget:16 always:2 university:1 level:1 identified:1 sufficiently:2 magnitude:3 chandra:3 invented:2 turns:1 found:4 quarter:1 decreasing:1 side:2 comptel:24 heavy:3 weighted:1 directly:2 collisionless:1 farhi:1 series:1 energy:29 idea:3 related:2 unlock:1 astrophysical:8 expect:1 zhitnitsky:7 our:30 beyond:3 extract:1 event:1 out:5 canada:2 shown:1 fluxes:1 fundamentally:1 factors:1 erratumibid:1 since:1 rev:11 research:1 particles:3 collisions:1 seriously:1 dominated:2 theoretically:1 formula:1 dominate:3 100s:1 correct:1 densities:8 occurs:1 after:4 interactions:3 given:10 possibility:1 quite:6 completely:1 formation:12 estimate:2 boehm:1 definition:1 interaction:2 pospelov:1 could:2 transition:5 cosmic:15 british:1 times:3 produce:2 due:5 consequence:3 undergo:1 neglect:1 extinction:1 origin:6 initial:1 features:6 probability:1 relate:1 number:14 bazzano:1 hitherto:1 clear:1 simplified:1 long:1 another:5 carry:2 precisely:3 size:2 unexplained:1 limited:2 temperature:3 requirement:1 introduction:2 unknown:1 approximately:1 heights:2 their:7 intermediate:1 observations:16 calculations:7 national:1 speaking:1 low:1 interests:2 exploring:1 accompany:2 option:1 discussion:1 ratio:2 baryon:2 explanation:2 exactly:1 took:1 electrosphere:4 prediction:3 part:4 too:1 authors:2 crosssection:1 than:6 cheng:2 peaked:1 bremsstrahlung:1 kind:1 require:1 tree:1 see:13 normalizing:2 annihilation:21 matter:50 future:3 were:1 gives:2 treated:1 motivation:1 behavior:2 calculation:5 modern:2 spectrum:25 roughly:2 already:2 need:1 seen:1 seem:1 ρdm:2 apparently:1 any:7 ray:13 estimated:2 angle:2 zero:1 vanishes:1 resultant:2 alcock:1 nucleosynthesis:1 able:1 si:1 mechanism:8 majority:2 k1:2 potential:13 take:2 attempted:1 so:4 blue:1 towards:1 relatively:1 fundamental:1 trace:13 centre:4 moskalenko:3 correlation:2 reach:3 phases:1 falls:2 most:2 optimized:3 involving:2 significant:3 phase:2 baryons:1 acknowledgements:1 measured:9 jean:1 interacting:2 terrier:1 subtracted:1 consequences:1 considered:1 calculated:6 adopt:1 coincides:2 kn:1 unreasonably:1 electrons:23 principle:1 nuclear:2 velocity:2 constrain:1 physics:3 naively:2 fact:4 choose:1 precise:7 thomas:1 phenomenon:1 show:3 detection:2 supported:1 bring:2 attempts:1 participate:2 threshold:2 earth:1 thickness:1 trivial:2 find:2 subtracting:2 satisfies:2 based:4 parameters:3 baryonic:2 explain:12 outside:1 incident:8 should:8 only:7 usov:1 black:2 subsection:1 factor:3 integrate:1 emitting:1 circle:2 local:3 equilibrium:1 dn:2 do:4 dm:9 hit:1 gev:1 di:8 dependent:1 impinging:1 satisfied:1 µe:4 ωdm:2 ahn:2 2mk:2 dt:6 silk:1 falling:2 dp:1 processes:10 resolve:1 bar:1 continuum:4 nicely:1 arxiv:20 remove:1 experience:4 common:7 release:2 fixed:1 explanations:1 valid:1 approaching:1 satisfy:1 bars:1 set:3 physically:1 problem:1 frame:2 correlations:2 arrives:1 maximum:7 observed:15 mentioned:5 intensity:5 result:8 discussions:3 close:2 cold:1 best:1 subject:1 fails:1 vertical:2 subsequent:1 currently:1 state:4 determined:2 various:1 chosen:1 trusted:1 between:9 tens:7 2d3:2 across:5 available:5 perfect:1 notice:1 attention:1 positron:11 missing:1 attempt:2 supernova:1 emitted:1 however:9 positronium:14 cut:1 kev:35 configuration:1 come:2 alters:1 suggested:4 both:9 hits:2 limits:1 many:3 region:20 compton:1 m0:1 according:2 attributed:1 sensitive:1 mev:75 context:1 contribution:2 argue:3 expression:10 finds:1 strongly:5 relevant:3 jcap:2 cm:4 point:4 reasons:1 nonresonance:1 evaluate:1 corresponds:1 community:1 height:3 variety:1 anti:4 morphologies:2 modeling:1 cs:2 respect:1 throughout:1 testable:1 bbn:1 unusual:1 strong:7 described:1 bloemen:1 addition:2 z0:4 skymaps:1 been:8 describes:2 slowly:1 treat:2 interest:1 basic:1 expected:6 ph:20 dk:6 fig:3 dots:2 concentrated:3 direction:1 arises:1 corresponding:7 droplets:1 formed:1 photon:12 andrew:1 6o:1 bulk:5 offers:1 bmp:1 understand:1 representative:3 angles:1 astron:2 general:4 diffuse:27 present:11 case:4 exception:1 replaces:1 unlike:1 solid:3 originate:1 engineering:1 value:6 will:17 while:9 match:2 shall:4 irrespective:1 2k:4 procedure:3 larger:2 ve:3 phenomenological:4 1z1:1 refs:1 binding:1 surface:16 positrons:12 superconducting:1 itself:1 anticipating:1 claimed:1 limit:1 investigated:1 around:1 different:5 verified:2 l55:1 considerable:2 etc:1 generic:3 suggest:4 make:3 radiation:8 cross:2 same:9 noninteracting:1 big:1 units:1 several:2 events:3 difficult:4 independent:4 satellite:1 used:1 columbia:1 imply:1 closest:1 numerical:2 hand:1 implications:1 potentials:1 robust:1 lebrun:1 normalization:7 recent:2 early:1 lower:1 estimation:3 off:2 center:3 mention:1 nevertheless:1 valued:1 well:14 kyle:1 analysis:2 obviously:3 cco:3 without:2 comparisons:1 model:23 arising:1 nb:1 effects:4 proposed:1 less:1 being:1 generally:1 v6t:1 obtain:1 rest:2 quarters:1 sources:7 identify:1 atomic:3 useful:1 momenta:1 scattering:1 yet:1 4m3:2 preprint:1 density:9 similarities:1 photons:19 fitting:2 5m:2 source:6 unambiguously:1 treatment:2 wimps:1 extensive:1 plasma:3 remaining:1 momentum:9 muno:1 unaccounted:1 depends:6 easily:2 bands:1 survival:3 unlimited:1 comparing:1 dark:38 lett:5 background:3 vacuum:1 using:7 diehl:1 color:2 ruled:2 counterintuitive:1 necessary:2 yuksel:4 flight:1 sizes:1 bulge:5 contradict:1 velocities:2 specific:7 flux:23 lawson:1 either:1 fully:2 become:2 feng:1 soft:1 lei:1 therein:1 sketch:1 because:2 qed:1 surrounded:2 flatter:1 creation:2 some:10 back:2 sight:4 extended:1 τp:1 superposition:1 provided:1 scale:4 dense:7 lead:2 confirm:1 broad:7 avoid:2 measurements:4 antimatter:13 per:2 contributing:1 critical:1 provides:4 assuming:2 strangelets:1 survive:1 nuggets:24 core:2 varying:1 knew:1 bc:1 each:1 use:1 leptons:1 accommodated:1 properties:6 proceed:1 lock:1 comparison:1 about:2 ndm:1 carried:1 origins:1 simplify:1 universe:3 discussed:5 dependence:2 o:2 hasan:1 remains:1 range:28 insufficient:1 constraints:2 slightly:1 gamma:18 komatsu:2 follows:3 previously:2 maxwell:1 puzzle:5 within:12 integral:5 interstellar:3 three:2 thankful:2 right:1 references:3 tiny:1 determine:1 physical:2 uncertainties:3 hep:4 additional:2 m4:2 suffice:1 there:3 approximate:1 specifically:3 much:1 inner:7 fraction:7 astrophysics:3 analyze:1 was:6 assumes:1 naturally:5 considerably:2 medium:2 elsewhere:1 form:9 phenomena:1 m2:6 but:1 astro:16 scope:2 unreliable:1 line:27 highest:1 proposal:8 observation:1 made:2 annihilate:2 characteristic:1 ritz:1 up:3 us:1 dφ:6 below:7 decays:2 fermi:5 emissions:8 demonstrate:1 distribution:9 ωb:1 similar:5 average:2 nature:1 regimes:1 detailed:3 associated:1 cembranos:1 ln:5 certain:2 abstract:1 measure:1 proven:2 evidence:3 single:4 together:1 accounting:3 moves:1 distributions:5 regime:1 again:2 puzzling:1 no:2 eq:7 whereas:1 when:9 ne:9 field:2 other:7 details:4 normal:1 spatial:2 department:1 conclusion:2 picture:2 briefly:1 denote:1 energetic:3 calculating:1 separate:1 models:4 gas:4 distance:2 deriving:1 important:1 allowing:1 suppression:1 describing:1 astronomy:1 structure:8 ago:1 correlated:1 happening:1 pion:1 dω:2 assume:2 harko:2 required:5 curve:1 dσ:4 rule:1 having:1 portion:1 mass:2 fitted:1 time:5 walker:1 mean:1 resolution:1 original:2 once:1 |
0704.3065.txt |@word sunyaev:1 limited:1 abundances:1 cameras:1 consider:1 pointing:1 nique:1 results:11 0m:1 signatures:1 arnett:2 comments:1 assessment:1 winds:1 contributions:1 hole:4 lle:3 compact:1 arcsec:1 feeding:1 ergs:2 technique:1 send:1 created:1 presents:1 finally:6 does:3 spain:1 stable:1 discovering:1 kaastra:1 ın:1 summarizes:1 case:9 updated:1 luminosities:13 shielding:1 statically:1 very:8 activation:11 account:3 distant:1 lockman:2 under:1 sensitivity:1 summarized:1 affect:1 1s:1 encounter:1 wolstencroft:7 epic:2 level:4 did:6 cause:1 notes:4 optica:1 puebla:1 large:4 gabriel:2 small:3 analyis:1 shows:3 xmmnewton:2 webster:1 still:4 upper:5 too:1 occurrence:1 findings:2 consistent:1 isolate:1 direct:1 budget:1 consists:1 second:3 asp:2 profiles:4 estimated:3 targets:2 even:7 index:7 errors:1 power:19 rate:2 incompatible:1 kenney:1 section:3 selected:2 disrupted:1 find:2 mexican:1 above:2 ultraluminous:2 new:2 falling:1 method:2 fekα:2 revealing:1 full:1 dwarf:1 degree:2 ısica:1 l1:1 component:19 understanding:3 ranges:1 following:1 identifications:1 objects:10 free:3 separation:15 excess:3 active:3 luis:1 dickey:1 strong:6 logarithmic:3 obtained:7 instituto:1 parameters:4 ot:1 involved:1 study:2 studied:7 funded:1 leaving:1 suggests:2 resulting:1 usually:1 narrow:1 makes:1 drg:1 plotted:3 named:1 via:2 spatially:1 convolution:1 classification:3 apr:1 marginal:3 explained:4 sign:1 compare:1 marked:1 highly:3 apj:11 visible:2 unabsorbed:1 apply:1 counts:20 lfir:5 causal:1 environment:1 confidence:4 francis:1 indicated:1 would:13 prove:1 remains:1 contains:1 kα:2 strauss:2 intense:6 few:2 fouque:2 therefore:6 taken:1 candidates:3 associated:6 theureau:2 type:3 more:7 mec:1 flat:2 heckman:1 composite:1 becomes:1 acceptable:1 starburst:11 emission:37 tested:6 warm:1 normalized:7 former:1 excellent:1 known:2 cases:9 given:1 hints:3 bremsstrahlung:7 states:1 none:1 effectively:2 science:3 der:1 work:4 modified:1 intercepted:1 mu:1 paturel:1 erg:17 values:23 thin:1 growing:1 making:1 dec:1 example:3 ballo:4 references:4 council:1 links:1 mccammon:2 process:6 bennett:2 reach:1 reinforcing:1 sample:6 indicates:3 minimum:1 performed:1 want:1 allowed:3 enrique:1 rodr:2 hydrogen:4 ngal:1 ratio:2 preferably:1 ceca:1 ones:1 rays:4 ef:5 provide:3 discussion:1 six:7 feature:2 occur:1 regions:4 located:1 varies:1 bottinelli:1 pure:1 significance:1 inflows:1 explains:1 circular:2 profile:10 predehl:1 astroph:1 sne:1 galactic:2 tried:1 harding:1 l51:1 derived:12 kormendy:2 braito:1 seyfert:3 designed:1 ff:4 matt:1 date:1 empirical:1 summarize:1 law:18 revealed:2 types:1 ambiguous:1 guainazzi:5 elusive:1 coarse:1 effective:2 unfolded:5 light:1 parameter:1 jogee:2 sw:4 liner:6 su:1 obs:3 fraction:2 ionized:2 so:3 sect:2 allow:4 anonymous:1 taking:1 acknowledges:1 order:5 typical:5 operations:1 kendall:2 interpretation:1 help:1 september:1 indeed:1 astronomical:2 enez:13 mission:1 osservatorio:1 interpreted:2 presence:11 hoopes:1 thermal:19 paper:2 through:2 filters:1 signs:1 metallicities:1 mortlock:8 its:12 galaxy:29 fir:2 fis:1 monteporzio:1 outer:1 thank:2 fit:15 acknowledge:1 chosen:1 fix:1 jim:13 coordinates:1 detected:14 complex:1 systems:13 inaf:1 decreased:2 hidden:1 main:1 might:1 image:14 versus:2 them:5 good:2 fourth:2 weakness:1 material:5 processes:4 13m:1 band:29 circumnuclear:2 related:2 they:2 half:1 hennawi:2 now:1 discuss:2 represents:1 february:1 alez:1 brightness:9 always:1 ector:1 classified:9 identified:1 universita:1 kpc:9 chandra:4 mode:2 reasonable:2 each:9 found:16 persic:2 difficult:1 characterized:1 referred:1 heavy:1 rephaeli:2 significantly:5 altieri:1 undetectable:1 density:1 energy:31 hard:16 fitting:2 onica:1 tonantzintla:1 martin:1 extended:6 expect:2 hosted:1 l15:1 our:6 ew:4 differ:1 ward:4 out:2 gonzalez:1 shown:1 funding:1 missed:1 driving:1 since:1 induces:1 projected:3 ejb:1 research:1 increase:1 ra:1 produced:3 ikebe:1 adaptive:1 induced:1 supports:1 integrated:1 processed:1 navale:1 theory:2 interactions:2 kennicutt:2 mechanisms:2 fisica:1 possibility:3 standard:1 ex:1 reason:1 worse:1 formation:4 imaging:5 members:8 hand:3 lumb:1 pairs:37 interaction:7 struck:2 arnaud:2 reinforces:1 determining:2 could:9 cosmic:1 keep:1 filter:1 disturbed:1 falco:1 assumed:1 davis:1 scoville:1 top:3 fe:2 origin:7 hewett:2 features:1 manuscript:1 stevens:1 chance:1 powerful:1 number:5 fits:3 directly:1 spanish:1 thick:1 fluxes:4 angular:1 strickland:3 masegosa:1 surveys:4 grimm:3 temperature:7 kochanek:2 their:8 introduction:1 data:11 dipartimento:1 system:5 least:2 1a:1 indicate:2 accretion:1 rates:1 observations:9 esac:1 1m:1 smoothed:17 inflow:2 hα:1 inefficient:1 relationship:1 relative:1 foltz:1 proving:1 accurately:1 artifact:2 astrophysics:1 4m:1 optical:16 because:2 frascati:1 apjs:3 authors:3 july:1 on1:1 yahil:1 than:10 l9:1 modes:1 plausible:1 kind:1 unfortunately:1 ubiquitously:1 double:6 brassington:2 zero:1 ranging:1 roberts:2 matter:1 absence:1 contrary:1 supposed:1 iron:2 were:28 tonry:1 gives:1 spectra:11 ev:2 outstanding:1 locations:2 curves:1 l31:1 raw:1 mos1:2 hafner:1 mos2:1 sas:3 quasars:8 seem:1 cosmology:1 clearly:2 ray:38 corbett:2 form:1 efficient:1 komossa:3 hubble:1 isolated:1 majority:1 high:16 causing:1 absorbed:4 llagn:1 forces:1 detector:1 redshifts:1 explanation:1 sn:2 spectral:14 relatively:1 components:5 though:2 object:6 sfr:10 most:5 detect:1 overlapping:1 significant:4 net:5 pair:9 flowing:1 acknowledgements:1 measured:14 exico:1 doi:1 observation:3 calculated:7 sometimes:1 dof:24 ks:1 tech:1 exp:1 kt:3 obscuration:3 fact:5 laws:1 selection:1 show:8 absorbing:6 lewis:1 detection:4 able:1 discovered:3 radii:1 superwinds:1 nowak:2 hasinger:1 superimposed:12 misclassified:2 bail:14 agrees:2 intergalactic:1 xmm:26 based:9 ıguez:2 northern:1 merger:3 explain:5 colbert:1 catalogue:1 catone:1 furthering:1 only:18 black:11 factor:1 emitting:1 local:1 accurate:1 do:3 fueling:1 sense:1 di:3 vary:3 de:1 likely:1 joint:2 cannot:1 photoelectric:1 ejecta:1 words:1 despite:1 report:1 hii:10 respectively:1 3a:1 target:4 reveal:2 evolution:1 covering:1 luminosity:16 arxiv:1 episodes:1 twice:1 common:1 activity:17 doubles:1 weaver:1 fixed:4 mergers:3 view:10 arp:1 reveals:2 ser:2 gouguenheim:1 jimenez:1 physically:1 frame:1 testing:1 dadina:1 maximum:1 observed:22 ara:2 see:6 individual:1 radius:2 result:3 guerrero:1 discussions:1 close:3 luminous:3 contour:3 best:11 tractions:1 suffer:1 interacting:9 nuclear:13 tend:2 xray:2 initially:1 enough:5 connection:1 cappi:2 between:10 affecting:2 probably:1 mekal:15 encounters:2 wide:1 available:1 variability:1 comparable:1 recently:2 boldface:1 nature:11 originated:1 however:11 jr:1 spectroscopic:3 york:1 hypothesis:1 key:2 contamination:2 analyzed:4 kev:84 comparably:1 improve:4 received:1 burwitz:1 improved:1 limits:4 many:4 region:5 compton:2 according:6 merging:17 improves:1 figures:2 requests:1 whole:2 lenses:1 nearby:7 among:1 cm:20 point:12 poissonian:1 except:1 alone:1 strengthening:1 distorted:1 maximize:1 iras:1 table:9 considers:1 total:1 described:1 powered:1 addition:2 create:1 due:10 been:6 mart:1 extraction:4 reduction:2 trigger:1 combined:1 electr:1 expected:2 conacyt:1 ph:2 pn:13 huchra:1 fig:15 firm:1 field:1 referee:1 corresponding:1 cosmological:1 both:18 mcg:4 sufficient:1 formed:1 gas:12 reaching:1 spectrum:19 bulk:1 shapes:2 murray:2 understand:1 systematic:2 obscuring:4 evidence:8 importance:2 diffuse:4 present:6 astrof:1 applied:4 extracted:1 multi:2 plasma:2 originate:2 appearance:1 single:5 value:12 excited:1 will:1 while:1 encircled:1 wabs:8 della:2 bin:1 seven:1 vol:3 adass:1 ir:8 non:1 surface:9 sekiguchi:7 ii:1 itself:1 properties:8 conf:2 seen:1 limit:2 id:1 binary:6 santos:3 italy:2 grant:2 perform:1 suggest:2 radiation:1 indistinguishable:1 same:8 any:7 member:7 another:1 parts:1 widely:1 several:2 higher:8 used:1 galaxies:68 raymond:2 effect:1 companion:7 v2:1 levels:3 user:1 hβ:1 unveil:2 contribution:5 recent:1 lower:9 task:2 off:2 center:2 scenario:1 largely:1 studies:7 maiolino:3 calibration:1 well:4 analysis:20 thought:1 edge:1 residuals:5 redshifted:1 roma:3 ccd:2 model:32 binaries:1 left:11 distances:3 exception:1 starforming:8 quoted:1 less:1 being:3 quasar:4 proximity:3 newton:26 rest:5 mid:1 sources:20 shape:1 intervals:1 cease:1 spread:1 useful:2 hess:1 yr:6 zezas:4 conclusions:3 absorption:5 photons:6 smith:4 rosa:1 nacional:1 source:15 shlosman:2 pile:1 location:3 samples:1 extensive:1 5a:1 remaining:3 momentum:1 resolved:1 vasca:1 march:1 around:1 easily:1 read:1 bands:6 astronomico:1 possible:5 collisionally:1 possibly:3 suffering:1 five:3 background:3 using:9 aipc:1 accepted:3 moreover:1 advanced:1 helpful:1 loss:1 like:12 excluding:2 sizes:2 systematically:1 contradict:1 signal:2 velocities:1 switching:1 sized:1 flux:2 detections:1 continue:1 hosts:2 either:2 demography:1 fully:2 marquez:1 become:2 soft:15 interestingly:2 ho:2 misclassification:2 satisfactory:1 right:10 madrid:1 piconcelli:4 some:3 back:2 hacyan:1 certain:1 j2000:1 maraschi:1 nonetheless:1 sight:1 cr:1 images:14 avni:2 separately:1 scale:3 dense:1 lead:1 bottom:3 broad:1 measurements:1 per:1 favors:2 wong:2 kms:1 esa:3 assuming:3 l2:3 sdss:1 o2:1 ponman:1 particular:3 noise:2 l0:3 minimization:1 disentangle:2 metallicity:3 elucidate:1 equivalent:5 radial:12 aj:3 agreement:1 stellar:2 host:8 unambiguously:3 pascual:2 powerlaw:1 although:9 2m:2 tidal:2 obscured:1 supermassive:3 panel:4 comparison:5 about:2 central:1 column:5 alignments:1 arcmin:1 o:4 page:1 compatible:10 range:9 misleading:1 plus:1 stuart:1 bounded:2 mean:6 slightly:2 contours:9 software:1 therein:3 erro:1 tavecchio:1 redshift:4 previously:2 instruments:1 into:5 within:4 three:8 phase:1 durand:1 lensing:1 accounts:2 determine:2 heated:1 l59:1 statistics:1 span:1 inserted:1 support:1 there:2 question:1 width:1 board:1 msl:1 handbook:1 low:7 way:1 flatter:1 resulted:1 l139:1 exposure:1 was:14 morrison:2 files:1 medium:1 complete:1 triggered:2 relaxed:1 ngc6240:2 but:6 gaussian:1 astro:2 neutral:7 magnitude:1 quiescent:6 satisfactorily:2 solar:2 mnras:9 line:10 removed:2 true:2 exhaustive:1 framework:1 count:3 prevents:2 gravitational:2 noz:1 up:2 us:6 different:5 statements:1 placed:1 below:2 miguel:1 those:3 critical:1 spectroscopy:2 similar:4 torus:1 distance:15 later:1 constant:1 likewise:1 abstract:1 measurement:1 am:43 general:7 presented:2 xiii:1 exist:1 goodness:3 accounting:1 apartado:1 gonz:2 physical:1 nh:12 again:1 compared:2 spectroscopically:1 no:10 when:6 ne:6 reality:1 grouped:1 other:9 role:1 details:2 normal:2 spatial:5 test:2 jenkins:6 optically:1 apparent:4 star:3 temperatures:3 models:13 schartel:2 ulx:2 generated:1 important:2 nucleus:4 allowing:1 jansen:2 fisher:1 astronomy:1 needed:1 conclusive:1 offprint:1 agn:48 independently:1 uniroma3:1 disruption:2 typically:1 required:1 holes:9 gilfanov:1 together:1 enrichment:1 nasa:1 mass:1 fitted:7 time:1 far:1 cores:2 nuclei:3 resolution:7 having:1 |
0704.3067.txt |@word proposition:11 represent:3 code:2 partial:1 consider:6 forbidden:9 both:4 results:2 invent:2 four:2 obstruction:1 commute:2 generalize:1 francesco:2 consists:1 homomorphism:1 expressions:8 denotes:2 weakly:2 row:1 devoted:1 whose:2 depend:1 calculate:3 tx:1 paris:1 graph:8 equivalence:1 ts:5 james:1 removal:1 uniqueness:3 critical:1 preserved:2 under:10 geom:1 include:2 southwest:2 applied:2 labels:1 string:21 straightforward:1 very:1 implicitly:1 continues:1 springer:2 choice:4 implicit:1 corollary:5 crosses:4 every:12 kashiwara:1 entries:59 emphasized:1 nor:1 niversity:1 convexity:1 wa:1 illustrated:1 sans:1 did:1 positions:12 notes:1 fewer:5 t1:1 admissible:10 convenience:1 vector:1 math:10 recall:3 indices:3 originally:1 upper:2 des:2 cartes:1 lecture:1 consistent:1 edu:2 mail:1 athematics:1 past:4 located:2 zero:21 braids:6 pass:1 further:3 dynamics:2 odd:1 d4:1 canonical:3 even:1 lemmas:1 plays:7 appear:5 richard:2 section:11 contracted:28 occupies:1 remain:2 find:4 annals:2 en:1 above:3 replaced:1 contributes:2 consisting:2 olivier:1 satisfy:2 degree:2 respectively:3 never:4 component:1 equals:1 here:5 evident:1 les:1 inversion:1 groups:13 address:1 represented:6 path:3 roof:1 table:2 appears:5 change:3 referring:1 obtained:5 remark:2 study:3 studied:3 contradiction:2 p2:1 amount:1 resulting:1 permutation:47 hexagon:48 makes:1 involves:1 york:4 uniquely:3 technique:1 useful:2 wib:1 wia:1 extra:2 apr:1 marked:1 young:1 brought:1 texts:1 wk:3 viennot:2 summation:1 apply:9 greg:1 use:4 proceed:1 would:3 prove:5 remains:6 positive:1 contains:29 humphreys:1 rightmost:1 induction:5 next:10 occupying:1 comparing:1 linear:4 explicitly:1 call:4 therefore:4 encode:2 iteratively:1 type:10 until:7 diagrams:2 more:8 introducing:1 preserving:3 glasg:1 billey:5 initial:3 beilinson:1 berlin:1 appendix:1 normalized:1 particular:14 known:3 applying:5 cases:1 hold:1 producing:1 goal:1 must:22 fan:1 decoration:1 none:1 isomorphism:1 word:2 middle:1 avoiding:67 equation:2 work:4 tw:2 reproduce:1 labeled:9 anywhere:2 values:11 phrases:1 following:5 meet:1 sci:3 example:9 proof:14 figure:3 stated:1 calculation:2 permutations:38 suggestions:1 sake:1 pieces:4 contradicts:3 minimum:2 caution:1 o:1 want:1 sense:1 times:1 conversely:1 occur:2 absolute:1 siq:1 sip:1 end:2 recursive:3 turn:2 s3:12 s2:20 s1:14 holds:2 s7:2 length:13 s5:3 s4:7 how:3 methodology:1 sr:7 adjacent:7 jozsef:2 sik:6 verlag:1 map:8 product:2 description:6 algebra:7 may:10 max:4 after:7 mapping:1 masks:18 diagram:8 applications:4 abuse:1 deodhar:18 date:1 representations:1 types:1 sp:3 si2:4 si1:4 transitive:1 attempt:2 varieties:5 third:1 whenever:6 facilitate:2 sq:4 author:1 sw:1 correspond:5 element:17 sk:4 sj:12 si:61 so:23 sn:11 sm:39 verify:2 representation:4 order:13 travel:1 combinatoires:1 restriction:1 interpretation:1 produces:1 developed:1 over:3 move:9 choose:3 s6:2 paper:2 including:1 enumeration:2 thesis:1 dw:2 existence:1 satisfies:1 braid:64 its:2 roots:1 earlier:1 laced:2 derive:1 group:8 thank:1 maps:1 chosen:1 lateral:1 coxeter:28 coordinates:3 actually:1 condition:2 holonomic:1 tsw:1 main:3 might:2 image:2 ideal:9 maximal:7 eventually:6 non:13 containing:2 greater:4 entire:2 conversations:1 build:2 subexpression:2 bound:5 framework:3 igure:1 effects:1 they:4 now:1 discuss:1 maintaining:1 term:1 finite:6 indeed:1 fully:13 university:2 drop:2 via:1 each:36 crossing:3 2m:1 european:1 characterized:10 defects:8 subset:4 ann:2 weyl:1 directly:1 formulate:1 reduce:1 idea:1 related:2 inverted:1 literature:1 erard:1 combining:1 our:9 ew:15 beyond:1 array:1 braided:10 out:1 conjectures:1 shown:5 assignments:2 restricted:2 furthermore:1 since:28 adhere:1 combinatorial:11 contained:2 unrelated:1 multiply:1 motifs:1 reader:1 denoted:4 formula:4 hugh:1 2k:4 occurs:3 interchanging:2 shows:4 provide:1 theory:6 stembridge:3 localization:1 liaison:1 argument:3 given:12 undo:3 standard:3 completely:1 collection:1 indicates:2 jockusch:1 phd:1 inductive:2 repeat:1 definition:20 pairs:4 geometry:1 determining:1 could:1 similarly:2 nonnegative:1 creates:1 introduction:2 bstract:1 produce:2 place:2 need:1 pure:2 assumed:2 hence:14 generalizations:1 assign:1 first:7 already:3 ntroduction:1 snp:2 bijection:2 schubert:6 cj:3 number:9 rank:4 instances:10 multiplying:1 least:5 another:6 ring:1 precisely:3 george:1 stage:2 illustrate:2 differ:2 necessarily:2 start:1 ordering:1 avec:1 top:4 participates:2 relations:2 their:3 intermediate:1 zeros:5 statement:1 draft:1 john:2 zelevinski:1 gives:5 shifted:4 commutativity:11 decorations:1 recursively:1 exactly:5 proving:1 short:17 authors:1 copy:6 representing:1 than:14 coefficients:3 finitely:1 determines:1 foata:2 dans:1 imply:1 subsequence:2 classes:5 posets:2 were:5 ppendix:1 enables:1 decompose:1 w2:4 kazhdan:32 fashion:3 generality:1 involution:8 julian:1 unchanged:1 tϕ:2 defect:35 generalization:1 say:18 stanley:1 disjoint:2 hexagonal:1 recover:1 any:41 viewed:2 collapse:1 brylinski:1 lie:4 generalizes:1 built:1 academic:1 note:8 instance:45 k1:1 internal:1 generalized:1 green:7 begin:4 towards:1 multiple:1 allow:1 opposite:1 decreasing:4 systems:1 extending:1 connected:6 position:12 pair:10 guibert:2 segment:7 class:10 france:1 especially:1 characterizes:1 considered:1 partition:1 statistic:1 serif:1 proceedings:1 points:15 subsequent:4 xavier:1 bordeaux:1 left:11 notion:1 lying:2 precise:1 saying:1 probl:2 bj:1 show:13 converse:2 consult:1 brief:1 bring:1 multiplicities:1 relation:2 url:1 participate:1 analogue:1 font:1 brant:13 just:1 outside:1 should:1 lemma:18 only:18 bases:1 generators:18 factor:5 bernstein:1 columns:13 demonstrated:2 do:3 intersect:1 notation:24 de:3 obtain:9 ϕm:3 cannot:5 words:1 invariant:8 reconstruct:1 crossed:2 neither:1 closure:1 addition:1 increasing:1 consist:2 settings:2 eme:1 comb:1 arxiv:1 remove:5 acknowledgments:1 whether:1 intervals:1 contain:7 through:1 obscure:1 fixed:6 eferences:1 view:2 available:2 set:35 ser:2 exists:7 observes:1 transpositions:3 anders:1 relative:4 see:6 computer:2 epartment:1 result:8 w1:6 fail:1 pi:4 dedicata:1 violates:1 creating:1 closer:1 william:1 still:2 commutation:2 ways:1 pattern:50 illustration:1 label:1 symmetric:4 state:1 determined:2 between:20 consecutive:8 subscript:2 avoidance:6 conditions:1 preserve:1 adv:1 triples:1 hecke:8 vertical:2 qt1:1 initially:1 wn:2 complement:2 weak:3 however:5 wi:4 wj:6 southeast:1 cut:1 hypothesis:4 key:1 wp:1 configuration:3 esult:1 m23:1 σk:3 received:1 interpretations:2 parentheses:1 last:10 emes:1 always:9 many:4 taking:1 according:2 agree:1 lusztig:32 embedding:4 argue:1 expression:62 fix:3 otherwise:7 among:9 ci:2 containment:1 co:1 cm:12 characterization:2 simple:3 jinan:1 cohomology:2 corresponds:8 except:1 vinay:1 simply:3 sequences:1 polynomial:3 respect:4 cw:11 descents:2 considering:1 most:2 applies:1 described:3 commutative:13 second:5 basis:8 union:1 west:2 px:13 sara:4 three:1 enumerative:1 quickly:1 pb:1 ai:1 describes:1 combined:1 basic:1 pj:3 pk:3 prototype:2 topics:1 empty:4 define:7 generating:3 aj:2 corresponding:12 σj:4 linearity:2 propositions:2 hits:3 new:9 else:3 observe:7 representative:1 clusters:6 c2:1 c1:6 maximally:52 former:1 those:7 case:8 noncommuting:1 p1:3 subsets:2 plain:8 straight:2 le:1 examine:1 value:36 will:22 while:4 ain:1 suppose:19 match:1 freely:10 situation:1 property:6 leaves:1 london:1 seven:1 larger:1 orientation:3 iq:1 ip:1 thus:5 them:4 ii:3 cluster:44 ik:2 mots:2 aspects:1 id:1 sequentially:2 binary:1 different:1 verified:1 descent:3 grant:1 ewc:10 ewb:15 make:3 orner:1 cross:8 same:11 poincar:2 highlighted:1 arguments:3 largest:1 avoids:7 survey:1 several:2 emanating:1 difficult:1 status:8 used:5 http:1 context:1 again:1 i1:2 i2:2 effect:1 possible:3 accomplished:1 steps:3 edges:2 uses:3 changing:1 tableaux:1 identity:3 relies:1 prescribed:1 lower:2 suffices:1 reflection:1 programs:1 studies:1 well:3 patterns:20 without:2 brenti:2 components:1 sets:3 coordinate:2 entry:48 model:1 drawing:1 usual:1 heaps:17 construct:1 proposed:1 less:5 being:2 when:13 2ni:1 valuable:1 press:2 underlying:1 identify:1 questions:1 using:4 terminates:1 previous:3 contradicting:3 adding:2 intersection:2 preprint:2 skp:1 generator:8 mark:1 point:10 had:2 mask:50 lattice:14 add:8 imposes:1 extends:1 location:3 contractible:1 theorem:15 east:1 remaining:1 coalescing:1 take:2 dimers:1 depends:1 showing:3 subposet:3 february:1 indam:1 background:1 destroy:2 clustered:52 integer:1 part:3 unique:4 poset:7 advanced:1 loss:1 appearing:3 follows:9 strictly:5 specific:1 continue:2 yields:4 either:1 arbitrary:3 reduced:54 www:1 because:11 nk:1 classical:6 sequence:3 sends:1 some:16 play:3 bounce:2 cancel:1 added:3 acad:3 b1:19 choosing:2 convex:3 proper:6 unless:2 extended:1 proofs:2 ascent:1 provided:1 vol:1 combinatoire:1 overlay:2 avoid:1 comments:1 does:10 connecting:1 provides:1 compute:1 leftmost:3 proc:1 subexpressions:1 minimal:9 refer:5 indicated:1 equivalent:3 expansion:1 update:1 step:2 symp:1 although:3 bruhat:6 properties:3 injective:1 pw:1 comparison:2 about:2 central:5 extension:4 algebraic:6 column:22 introduces:1 factors:1 surround:1 distinct:7 a2:1 combin:7 cartier:2 ox:1 gregory:1 introduced:3 jacques:1 david:1 cambridge:3 previously:1 into:1 rome:1 washington:3 isomorphic:1 nsf:1 down:2 remarks:1 right:14 been:4 algebras:1 consecutively:1 imposed:1 rows:1 additional:3 combinatorics:3 removing:4 support:4 there:30 transform:1 fast:1 pages:2 hasse:3 pa:1 allude:1 way:2 translate:1 function:2 form:24 restrictions:1 removes:2 warrington:3 but:7 volume:3 eϕ:3 underlined:1 construction:4 heap:89 encoded:1 line:38 removed:2 true:2 extend:1 made:5 wσ:12 embedded:3 supp:2 inside:2 verma:1 up:1 us:3 ranks:1 below:8 dms:1 decorate:1 highlight:2 intersects:2 similar:2 called:5 detailed:1 interval:2 associated:5 defined:8 certain:1 describe:4 am:10 covers:1 general:5 single:5 symposia:2 exist:2 moves:3 commuting:3 check:1 duality:1 ni:1 functions:1 ev:2 groupes:1 no:21 mathematica:1 generally:3 graduate:1 application:1 definitions:2 other:12 role:10 special:1 tits:2 test:1 mathematics:3 nice:1 picture:2 briefly:1 elements:25 denote:10 completes:1 sided:3 setting:2 bottom:2 polynomials:22 includes:4 a1:5 a0:5 generated:1 important:2 bounded:11 included:1 decorated:1 structure:1 jones:11 implies:1 algorithm:13 acyclic:2 assume:6 starting:3 moved:2 space:1 modules:2 together:4 original:4 overline:1 reversible:1 time:1 moreover:2 appl:1 n2:2 resolution:6 strings:23 once:1 |
0704.3068.txt |@word secondly:1 similarity:1 magnetic:4 spie:1 desirable:2 four:1 consists:4 oldest:2 assembled:2 relationships:4 whose:5 calculate:9 29d:1 under:9 worth:1 risk:1 every:2 figs:1 summarized:1 experimentally:1 vast:2 34d:1 believed:1 squares:2 convenience:1 unifying:1 consistent:7 estimates:1 direct:1 likely:3 chen:1 estimated:3 even:9 errors:58 excised:3 selected:1 contributed:1 meibom:3 supplied:1 ingraham:1 above:22 conduct:1 new:8 increasing:2 ever:1 consisting:1 simultaneously:1 fernandes:2 residual:3 here:27 active:3 logarithmic:3 digits:1 study:6 vogt:1 launched:2 permit:3 suitable:4 settled:1 numerical:1 9i:1 appropriately:1 divide:3 classification:4 explained:2 9e:6 3e:11 elaborates:2 visible:2 moral:1 glance:1 total:1 tertiary:1 plot:11 swings:1 would:20 discrepancies:2 call:1 therefore:4 type:27 tell:1 th:1 populations:1 successful:1 correspondingly:1 excellent:1 must:6 abundance:1 word:1 permits:4 work:16 mi:1 mt:53 ms:1 henry:8 akin:1 root:1 example:2 photospheric:2 owes:1 indicated:3 give:3 indicates:5 caution:5 times:2 yang:1 preferably:3 hog:1 end:2 provide:8 imprecision:1 feature:8 astronomers:2 how:14 grankin:3 bressan:1 preferable:2 classify:1 classifying:1 doable:1 modulation:3 after:2 confirmed:1 demanding:1 diagram:7 davis:1 summarize:1 constants:2 baseline:1 third:6 acknowledged:1 alias:2 complexity:1 green:7 keeps:2 order:6 backdrop:1 carney:1 interpretation:1 over:16 satisfied:1 elevated:1 thesis:1 affect:2 satisfies:1 before:5 fit:8 personal:2 better:8 fig:54 encapsulates:1 eventually:2 them:17 amenable:3 effects:5 they:18 singularity:1 structural:1 represents:9 several:5 brightness:1 calibrating:4 reasonably:4 classified:2 reasonable:6 each:12 sciortino:2 mean:16 logs:1 series:6 used:25 substantially:6 restricted:2 crucial:1 rd:1 re:3 reader:1 donahue:31 independence:1 centauri:1 foundation:1 arizona:1 linear:7 little:1 free:1 standard:5 assures:1 formation:2 estimate:4 superimpose:1 frew:1 telescopes:3 r5:1 vestrand:1 days:2 filter:1 incorporated:1 corrections:1 speeds:1 separable:6 already:2 features:1 primary:2 another:12 thick:2 illustrate:1 similarly:2 top:1 needed:2 rates:2 too:5 ranging:2 excising:1 spindown:2 predictably:1 serve:1 gyr:116 somewhat:6 distance:9 showed:1 shkolnik:1 kuschnig:2 database:1 rate:4 project:1 matter:2 classes:1 powers:1 baglin:1 sills:1 rao:1 manner:2 seen:4 seem:4 relatively:2 strength:1 secure:1 convenient:2 latter:4 responsible:1 fitting:4 edge:1 circles:6 blue:10 shall:1 object:2 parallaxes:1 extending:1 involving:1 phase:2 assessed:1 observation:1 calculated:24 stating:1 chromospherically:1 points:10 principle:4 fitted:2 planetary:8 random:1 ambiguously:1 implying:2 colors:8 calculable:2 earth:3 enjoyed:1 larson:2 just:4 representing:3 rich:1 dn:5 do:10 valenti:3 dj:2 fontaine:1 df:3 dg:2 de:2 db:3 preferred:1 da:3 photoelectric:1 dx:3 despite:6 holmberg:2 patten:2 du:1 dp:4 hatzes:1 hall:2 contributes:2 fields:2 rudiger:1 carrier:1 analytical:1 l49:1 38d:1 reference:2 clarified:3 sensitivity:1 testing:2 1960s:1 detection:1 depends:1 radius:1 result:10 discussions:1 best:3 subject:1 saio:2 away:1 gentleman:2 unable:1 bergbusch:1 simplest:1 propagated:1 previous:3 approach:1 reiterate:1 terms:5 nature:5 component:7 overestimates:1 however:11 sunspot:1 ber:1 unfold:1 contamination:2 overestimated:3 7e:8 improve:2 suggested:7 essentially:5 against:9 strobel:1 0d:2 logic:1 0j:1 distinction:1 presumably:4 timescale:3 excess:2 represented:4 polynomial:1 chromo:8 basis:2 observing:1 three:14 been:28 much:7 interest:1 basic:3 expected:9 preston:1 location:1 obtained:1 life:1 deeper:1 quantities:4 25f:1 25d:1 bouvier:1 doubts:2 spin:2 applied:2 originate:2 transformation:1 aim:1 geophys:1 near:4 property:6 leaves:3 procedure:2 cons:1 ii:1 conf:4 ic:8 containing:2 prior:3 perform:1 suggest:14 make:8 millis:1 drawback:1 potentially:5 split:1 avoids:1 filtered:1 lithium:1 couple:1 independent:6 satellite:5 peaks:1 heteroscedastic:1 differing:1 hand:1 isochrones:11 kim:4 cycle:1 maunder:1 scenario:1 programs:1 changes:1 copernican:1 chronometer:1 greatest:1 claims:1 possesses:1 seasonal:1 pallavicini:3 proposed:1 kinks:1 assigned:2 identify:2 thanks:2 facts:3 yes:10 yet:6 succeeding:1 projection:1 adding:2 lachaume:2 oph:5 had:1 weiss:1 wright:5 spread:1 innocent:1 5e:8 5d:2 insensitive:2 breaks:1 disagreement:3 possible:16 possibly:3 clustered:1 unique:2 corot:1 apart:4 desire:1 submission:1 specific:3 steps:3 old:28 deal:3 mazeh:1 golub:1 pleiades:3 proceeding:1 maeder:1 bottom:1 companions:1 asking:1 core:1 elucidate:1 pizzolato:17 super:1 properties:7 theirs:1 42d:2 o:11 ensure:3 steadily:3 connected:1 slightly:3 considerations:1 raised:1 rotations:1 intellectual:1 bath:1 accommodate:1 problematical:2 granzer:2 soon:2 eccentricity:5 support:1 initial:1 transform:1 way:6 was:11 underestimated:1 form:9 attempted:1 ford:1 hemisphere:1 solar:28 radioactive:1 removed:2 true:5 absent:3 k1v:1 hartmann:2 attached:2 maximum:1 until:2 panels:3 promises:1 later:2 ln:26 implications:1 abstract:1 evidence:2 distributions:3 check:1 physical:1 marking:1 dotted:12 no:23 when:11 reality:1 unambiguously:1 papers:1 test:10 models:4 felt:1 uniformly:1 coronal:1 variable:3 hyades:7 binarity:2 younger:8 radioactivity:1 longer:2 abscissa:1 assume:2 together:2 chiosi:1 time:12 2gyr:1 observables:1 slope:1 logarithms:1 prot:6 overplotted:5 remarkable:1 separates:3 datum:2 focus:1 leads:4 supplement:1 morphology:2 remarkably:1 rot:1 discern:1 certainly:3 birthline:1 technique:24 basri:2 passage:1 finally:8 monotonically:1 determinations:1 suffered:1 me:1 keck:1 supported:2 keeping:3 choice:3 entries:1 trouble:1 cool:2 coeval:9 presented:3 did:1 culminating:1 science:2 upper:11 slower:1 trend:4 measurable:2 charbonnel:1 spectral:2 appear:6 foregoing:1 uniform:3 suspect:2 pulsating:1 shared:3 dwarf:3 hairs:1 zams:4 vanderbilt:1 agreement:14 water:1 attainment:1 solartype:1 groups:6 address:1 alone:1 along:4 kpno:2 appears:6 change:4 g2v:1 bob:1 exemplified:1 canadian:1 my:1 mihalas:1 studied:4 trial:4 accomplished:1 suggestion:1 boo:4 usually:9 noticeably:1 studies:4 frazer:2 plotted:14 useful:8 allain:2 merely:5 prefer:1 groenewegen:1 marked:3 bertelli:1 sharper:1 opposed:1 criteria:1 australian:1 prep:2 today:2 lemme:1 afford:1 acceptable:1 validity:1 visual:3 appendix:3 cases:1 effort:4 rotational:24 originally:1 values:13 following:1 making:4 spun:2 figure:7 attribute:2 sample:48 performed:3 council:1 hydrogen:1 evidently:2 rays:2 monitoring:1 linsky:1 fortunately:1 discussion:3 criterion:1 subdwarf:1 plus:2 marschall:1 bracketing:1 product:1 may:4 spot:1 membership:2 designed:1 improving:2 data:34 stress:1 natural:2 varieties:3 johnson:3 ss:2 sp:1 irwin:2 so:20 representation:4 guenther:4 sokoloff:2 approx:1 noyes:10 subsections:1 indeed:9 displayed:3 years:4 course:5 coll:2 still:2 tendency:1 observational:1 derive:16 group:19 monitor:1 acknowledge:1 interesting:1 vicinity:3 dwarfs:2 main:33 decades:3 correspondence:2 non:8 matches:1 processes:1 introduce:1 warranted:1 hale:3 now:11 discuss:1 nor:1 possess:2 down:6 term:5 equality:7 name:1 sandage:4 james:3 arrows:2 establishing:1 entirely:1 photometry:3 individually:2 domain:4 weighted:1 prompted:1 ed:5 unevolved:1 astrophysical:2 year:1 happen:1 adequately:1 shown:21 space:4 furthermore:9 suggesting:5 formula:4 dominate:3 correct:5 shows:12 earlier:2 million:1 possibility:3 quite:2 dependencies:18 complicated:3 besides:1 remainder:2 derivation:8 transition:4 turn:2 separator:1 undesirable:2 first:6 origin:1 striking:1 xb:1 variables:3 approximate:1 long:3 directly:3 array:1 open:57 angular:4 given:4 indicate:3 judgements:1 1e:12 types:1 iau:2 poveda:1 national:3 pmax:1 gives:6 eyer:2 fraction:2 mostly:2 continuous:1 accurately:1 undoubtedly:4 than:44 specify:5 wide:14 effective:2 require:3 ventura:1 future:1 were:7 pre:5 lick:1 san:1 sab:3 correction:5 greece:1 say:1 himself:1 20d:4 eggenberger:2 allen:2 any:9 skumanich:19 conversion:1 unsuitable:2 aside:1 note:33 sciences:1 potential:2 observationally:2 coincide:1 dowler:1 begin:3 sure:1 probed:2 correlation:1 algebraic:1 importantly:1 formulae:1 pair:1 latex:1 heintz:2 especially:11 surprising:1 considered:11 gyro:67 average:5 adopt:6 steady:2 axb:1 subjectively:1 rowe:1 conservatively:1 quantity:2 precise:3 spaced:1 show:9 bright:1 tend:1 ground:1 slow:2 macros:1 written:1 analytic:1 only:22 explicitly:1 black:5 thompson:1 identification:5 etoiles:1 misidentified:1 get:6 truly:1 unimportant:1 cannot:8 differentiating:3 reveal:1 settings:1 median:13 yield:12 summary:2 rotationally:1 though:1 lbol:2 relative:4 namely:1 kawaler:4 ways:4 subsequent:3 enough:2 between:37 across:1 bisects:2 gratefully:1 inclusions:2 coma:3 come:2 motivations:3 parentheses:1 many:9 region:1 expended:2 expression:4 synoptic:1 comes:1 nearby:5 among:3 color:37 overview:1 period:70 sampling:1 twin:1 spans:1 constant:1 considering:1 marc:1 invert:1 locally:1 isochrone:56 workshop:1 combined:1 mars:1 direction:1 6d:2 6e:7 bayesian:3 suspected:2 extant:1 careful:2 former:1 those:17 case:5 refractory:2 stauffer:3 report:1 investigating:1 wouldn:1 characteristics:6 discrepancy:7 cluster:39 bias:1 binary:17 different:4 develop:3 same:26 cen:3 constructed:1 investigated:1 jorgensen:2 closest:1 companion:1 tradition:1 implements:1 modes:1 roughly:10 without:3 components:33 priors:1 ccd:1 radick:5 binaries:9 researchers:2 justify:1 minima:1 being:10 generally:4 adjustments:2 valuable:4 relevant:6 aspect:1 speed:1 guides:1 seems:4 except:8 geological:1 improvement:1 meteorite:1 setting:1 samples:9 extensive:1 momentum:2 around:1 read:3 reddened:1 early:5 21d:3 using:66 accepted:2 correcting:1 lebreton:1 velocities:1 benefit:1 either:10 fully:1 densest:1 specified:5 girardi:2 paczynski:1 conservative:1 rucinski:2 propagating:1 scheck:1 measuring:2 asas:1 equivalent:3 inherent:2 throw:1 rearranging:1 comparison:17 demarcation:1 package:2 discussed:7 greatly:1 underway:1 concentrations:1 sensitively:1 takeda:14 cambridge:1 micela:2 burning:1 inclusion:1 communication:2 numerically:1 references:3 determine:5 nowadays:1 your:2 vaughan:6 log:15 assumed:5 there:34 dispersion:5 start:1 low:1 stars:325 morrison:1 lubin:1 regard:1 mnras:3 gyrochronology:37 datasets:3 applying:1 embedded:1 systematics:1 2003b:3 2003a:16 agree:2 detailed:5 laird:1 ab:1 certain:2 describe:2 general:5 ap:2 invertibility:1 au:1 planets:1 lifetime:10 az:1 spends:1 incorrect:2 again:9 onerous:2 bluer:6 heather:1 tight:1 lsst:1 valid:1 parameterizations:1 you:2 deviation:2 separate:2 symbol:1 deriving:4 60d:1 a3:1 important:1 a5:1 a4:1 suited:1 serious:1 tackle:1 a8:1 delineate:1 krishnamurthi:2 curve:5 lanz:1 bystander:1 mass:51 cores:1 resolution:1 original:1 represent:4 consider:7 lack:1 splitting:1 quadrature:3 follow:5 disk:1 transits:2 ty:1 removal:2 tn:3 program:1 asterisks:6 demarque:11 global:1 very:14 discrepant:3 decide:3 surprise:1 difference:3 condition:1 steve:1 eds:3 k5v:1 list:13 t0:1 large:18 small:15 ten:1 maggio:1 past:2 morel:1 zero:4 pasp:7 displays:3 further:6 attributable:1 canonical:1 what:6 abc:1 clock:14 sun:49 section:22 ast:1 version:1 fractional:2 learned:1 method:8 contrast:3 leeuwen:3 full:3 compilation:1 modify:1 provides:5 situation:1 strong:2 respect:5 search:1 generalizing:1 colored:1 identifiable:4 inspired:1 allows:1 stella:1 published:6 action:1 via:9 transit:1 while:18 grundy:1 randall:2 detecting:1 select:1 levine:1 contains:4 imate:1 taken:4 minor:1 more:9 corrected:5 emission:33 dynamos:1 particular:7 known:15 dex:3 none:1 middle:1 recall:1 equation:10 des:1 allende:2 evolved:6 history:1 compare:3 division:2 lives:1 pont:2 vauclair:2 states:1 buie:1 numbers:2 sense:1 sharp:1 axis:1 information:7 needs:6 goal:3 rather:2 occasionally:2 acta:3 schultz:1 simplicity:1 galactic:1 derived:16 catalog:3 response:1 shortcomings:1 short:2 quoted:7 spectra:1 declining:1 giampapa:3 extrapolation:1 specifying:1 fundamental:11 turnover:1 developed:4 eludes:1 mission:3 paper:19 through:7 filters:1 signs:1 existence:1 its:26 style:1 k4v:1 baas:1 late:15 resort:1 absence:1 systems:13 convective:8 stephen:1 might:10 yi:5 lowell:4 good:10 universality:1 obeyed:1 yr:3 easily:4 always:1 accommodates:1 2d:1 2e:14 2f:2 found:2 referred:1 catalogues:1 hard:1 obtains:1 measurement:9 beyond:3 event:2 since:11 viability:1 denotes:2 sustain:1 hill:1 issue:3 plotting:1 asp:5 circumstance:1 yale:1 difficulty:2 reason:2 members:2 matthews:3 beginning:1 generate:1 leverage:1 definition:2 pairs:1 retained:1 launch:1 rosner:1 major:8 fischer:3 probability:2 number:8 antiquity:1 done:4 least:2 fluxes:2 passes:1 guess:1 temperature:1 introduction:2 leading:3 lejeune:1 construct:1 pojmanski:2 obtainable:1 assumption:6 hundred:2 observations:6 relationship:22 vandenberg:5 favorably:1 prediction:1 part:3 authors:8 believe:2 diffusion:1 scheme:2 double:1 anticipate:1 youth:1 determined:13 aas:1 toward:1 treated:4 motivation:2 7d:1 ages:217 defect:1 substantial:4 headings:1 concentration:4 orders:1 lie:5 wilson:56 built:1 depending:4 self:1 onset:1 majority:2 empirically:1 measurability:2 finding:1 echelle:1 added:1 patterson:8 effecting:1 lindegren:3 most:15 rhk:13 walker:2 significant:3 position:2 alpha:3 measured:30 model:1 equatorial:2 clear:5 sometimes:3 bodies:1 clean:1 fashions:1 velocity:1 physics:1 joining:1 particularly:3 rtn:2 relation:2 impressively:1 find:2 impact:1 indicator:11 northern:2 duncan:8 factor:5 douglass:1 his:2 spurious:2 famous:2 observatory:3 listed:21 closely:3 during:1 alexander:1 resolve:1 fekel:1 morgan:1 arxiv:1 remove:1 clocks:4 common:12 activity:10 ayres:1 3d:1 wrote:1 locating:1 bars:1 set:4 ser:2 arv:1 declines:2 byron:1 see:23 individual:19 close:5 curvilinear:1 cosmochimica:3 currently:4 woo:1 various:5 probably:3 bailyn:1 conditions:1 available:19 catalogs:1 complementary:2 initially:2 attention:3 48d:1 spectroscopic:5 k7v:1 interface:21 inertia:2 both:20 collaborators:4 improved:2 meteorites:3 correctable:1 sensitive:2 connection:9 context:1 baliunas:28 pdf:2 cowley:2 consume:1 pendulum:1 point:7 simple:8 smith:1 corresponds:5 miglio:2 tennessee:1 simply:9 terminus:1 decline:1 wozniak:2 rasio:1 due:1 reduction:1 extends:1 ph:1 referee:1 precision:9 gap:3 endal:2 determination:8 representative:6 systematic:3 surveys:1 uncertain:1 solid:15 reliable:2 empirical:2 skiff:4 behavior:3 error:38 guide:1 hallam:2 apjs:8 apjl:3 itself:7 triple:4 stepien:1 starlight:1 grant:1 barnes:36 recalibrated:1 shorter:3 widely:2 resulting:1 ray:11 higher:5 calculation:2 literature:1 moment:2 necessity:1 conveniently:1 recent:3 lower:17 older:10 analysis:6 obviously:5 calibrated:6 lanting:1 habing:1 salasnich:1 parametric:1 spend:1 weakest:1 distances:2 segregate:1 turbulence:1 regardless:2 tables:2 cut:3 conclusions:3 k1:1 exclusively:1 source:2 questioned:1 sydney:1 input:3 solvable:1 remaining:2 associations:2 k5:1 rotators:1 showing:1 g8v:1 marcy:5 formal:2 modifications:1 success:1 semi:1 systematically:6 admittedly:1 interestingly:1 separately:2 flux:2 yields:12 mhd:1 methods:4 some:16 back:1 understood:1 towards:2 30d:2 delivered:1 scale:9 broadband:1 measurements:10 pros:1 saar:7 per:3 cast:1 eliminate:4 dating:1 proc:2 inclination:1 varying:1 run:1 lose:2 continuing:1 use:19 pinsonneault:2 cochran:2 step:2 relating:1 predictability:1 usa:1 range:13 consequently:2 computational:1 into:11 within:4 exceed:1 kovalevsky:1 appropriate:12 seasons:1 contributor:2 uncertainties:1 statistics:4 interacted:3 smoothly:1 question:1 fast:1 montalban:2 suit:1 forward:1 sections:2 vienna:3 considerably:2 insensitivity:1 boyd:1 properly:2 link:1 repeatedly:1 line:24 considerable:3 characteristic:3 up:1 us:10 theoretical:2 planet:1 diagrams:1 boldface:1 similar:15 called:6 associated:5 adults:1 rossby:1 defined:11 single:10 research:2 formalism:1 graham:2 unsaturated:2 defines:1 dashed:13 application:1 definitely:1 coded:1 potsdam:1 clements:2 calculating:2 provided:11 problems:2 prepared:1 eval:1 independently:3 age:219 required:3 orbit:4 correlates:1 demonstrates:4 far:3 requires:6 having:5 proximate:3 once:1 results:10 existing:1 illustrated:1 arranging:1 edu:1 winds:1 contributions:3 issues:4 excludes:1 simon:2 concerned:1 young:29 intensive:2 uniqueness:1 excluded:1 include:1 dramatically:1 indicating:1 presently:1 putting:1 continued:3 categories:4 entire:5 magic:1 radii:1 fewer:1 manifestly:1 noted:4 concluded:1 cfa:1 substituting:2 dynamics:1 calibrators:2 refereed:1 index:5 invertible:2 morse:1 giving:1 m35:1 availability:1 ursa:2 exercise:3 thin:3 lee:1 meynet:1 respectively:28 jointly:1 youngest:2 desired:2 objects:2 separation:1 others:3 consideration:1 invented:1 closing:1 great:4 dividing:2 dominik:1 technical:1 involved:3 larger:1 leaving:1 suggests:7 preferentially:1 survey:6 existent:1 makes:1 named:1 addresses:1 scales:1 photometric:2 apj:28 talon:1 addressed:1 culmination:1 apply:2 segregating:1 confidence:3 consumption:1 few:6 doubt:1 examination:1 stetson:2 butler:2 themselves:3 sort:1 osten:4 visibility:1 train:1 baby:1 account:2 crosses:2 averaged:3 obvious:4 publications:2 universe:8 lockwood:4 averages:3 scatter:5 control:1 process:1 purposes:2 high:2 effectively:2 something:2 justifiable:1 fortunate:1 regions:1 located:4 numerous:1 redward:2 instead:2 sin:6 relates:1 collection:3 mixed:1 fits:3 lines:16 correspond:4 cayrel:1 allow:5 subsequently:2 saturated:2 soderblom:21 astronomical:7 move:1 researching:2 symbols:1 dv:1 including:9 mentioned:1 parameters:9 dt:5 perfect:1 superior:1 decay:2 chosen:3 masses:2 degrees:2 choose:1 strassmeier:21 latitude:2 clusters:56 lx:2 greater:7 13d:1 spell:1 m5v:1 rotation:103 realize:1 university:2 traced:3 identified:1 tiso:6 magnitude:2 latham:2 accounts:2 subset:1 related:9 inverted:1 deficiency:1 calibrate:1 measure:3 our:9 tenth:1 witness:1 out:7 res:1 red:10 ree:1 torres:1 interactions:1 southern:5 8f:1 8d:1 8e:5 clarify:1 completely:1 masks:1 interaction:3 could:12 david:2 counterpart:1 length:1 removing:5 hence:5 retain:3 marigo:1 caii:2 manuscript:2 smoothing:2 ordinate:1 publication:3 ordering:1 unknown:1 system:25 adopted:1 priority:2 their:34 intermediate:2 stefanik:1 behaved:2 final:3 academy:1 contribute:1 lists:2 regards:1 cyg:5 observed:7 colleagues:1 commodity:1 isolation:1 distinguishes:1 submitted:2 dynamo:3 negatively:1 steep:1 behaviors:1 vaiana:1 curves:2 kepler:3 unlikely:1 need:5 apparently:2 clearly:1 aj:10 mid:1 anglo:1 telescope:4 instance:2 techniques:9 persistence:1 who:3 eight:1 class:1 fair:1 milani:1 lowered:1 mechanical:1 typical:3 normally:1 fact:25 selection:2 12d:1 text:5 blueward:3 charles:1 rotating:7 bring:1 planning:1 definable:1 superimposed:1 rough:2 debate:2 principal:2 nominally:2 based:16 knowledge:2 ngc:6 should:14 hd:4 ambiguity:4 fuel:1 partially:3 local:1 interested:1 inferior:1 regularly:1 handle:1 means:2 mainly:1 overall:2 facilitated:1 joint:1 ones:4 drawn:4 timing:1 procedures:1 gray:1 evolution:6 luminosity:7 differential:10 contain:2 prosser:5 cycles:1 pertains:2 view:1 requirement:3 constructing:2 exists:3 acquired:2 smooth:1 special:1 correlations:1 usefulness:1 violet:1 recently:2 murthy:2 closer:1 nuclear:2 superb:1 favor:1 state:2 hipparcos:4 routine:1 crude:3 progress:1 neither:1 herrera:1 variability:6 comparable:3 key:1 comparably:1 observable:2 limits:5 taking:3 equal:1 etc:1 figures:1 otherwise:10 comment:1 compromising:1 co:8 ca:1 cf:1 distinguish:1 sequences:18 dependent:1 table:25 second:6 addition:1 bookbinder:1 pmin:1 slowly:1 indicators:12 proposal:1 define:2 field:47 arises:2 corresponding:11 shortward:1 sufficient:1 rebolo:2 tycho:1 finished:1 ensuring:1 angles:1 gross:1 repetition:2 present:10 divisions:2 unlike:2 contexts:1 value:7 will:19 weber:1 advisable:1 almost:14 chromospheric:101 thus:12 surface:3 vo:1 vs:7 claimed:1 convection:4 regression:1 proxima:1 perhaps:5 cross:2 sqrt:1 member:1 guinan:3 largest:1 units:1 infer:1 difficult:1 tighten:1 material:1 cubic:1 0e:8 upon:1 effect:2 phd:1 v0:3 v5:1 robotic:1 off:5 nevertheless:1 calibration:11 well:25 bluest:1 patterns:1 residuals:2 firstly:2 comparisons:1 breaker:1 usual:1 routinely:7 excise:4 sourced:1 less:8 increasingly:2 proximity:1 sofia:7 sources:4 underlying:4 distant:3 rest:2 generous:1 preprint:2 density:1 sky:1 day:2 wes:1 reasons:1 adoption:1 usage:1 matched:1 warrant:1 ought:6 identical:3 saturation:1 increased:2 increases:1 five:2 know:6 immediately:1 loss:2 necessary:3 like:7 δx:4 sizes:1 exploiting:1 δt:13 schmitt:1 δp:4 δn:6 geochimica:2 martin:2 δf:3 become:4 works:4 δb:3 δa:3 therein:1 indications:1 because:25 classical:4 sequence:87 phenomena:3 brian:2 francisco:1 proper:1 esp:1 broad:1 avoid:2 overlap:4 does:8 esa:3 assuming:6 demonstrated:1 limitations:3 11d:4 obey:1 slight:3 journal:3 11h:1 stellar:46 host:2 inherently:1 although:6 panel:8 a1:1 about:10 quarter:1 column:2 freedom:2 dependence:63 a2:1 unidirectional:1 simplification:1 discard:1 introduced:1 ndt:1 own:4 a7:1 previously:1 a6:1 washington:1 functional:7 dataset:3 included:3 perryman:2 square:1 significantly:2 van:3 additional:9 noticed:1 2m:1 flynn:1 function:30 but:46 astro:1 hk:4 repeated:2 construction:3 gain:1 delivers:1 kraft:2 illustrative:3 he:4 count:1 flagstaff:2 made:7 compute:1 whether:12 portinari:1 variations:5 below:23 converted:1 limit:2 demonstrate:6 distribution:3 display:6 universal:3 myr:88 lanning:2 graphical:1 denote:1 pourbaix:4 periods:51 chronometers:1 redder:4 functions:3 compared:1 variety:6 detail:1 ceti:1 other:34 details:5 incredibly:1 monitors:1 repeat:1 star:62 ultimately:2 variation:3 a9:1 astronomy:3 searches:1 coupling:2 factors:1 baggett:1 portion:1 4f:2 understand:5 4d:2 4e:6 indirectly:1 |
0704.3069.txt |@word limited:2 l17:2 consider:1 lack:2 alternatives:1 results:5 leads:1 heliocentric:1 cooperative:1 consists:1 follow:1 assembled:1 schlegel:2 whose:1 ergs:7 terndrup:1 show:3 environment:1 finally:2 does:2 indicate:1 those:2 excluded:1 under:1 analogous:1 include:1 worth:1 starbursts:1 luminosities:1 mpc:2 broadly:1 zhang:3 kewley:2 rise:1 springer:1 electron:1 01s:1 every:1 difference:2 continued:1 mathis:1 presented:3 soderberg:7 turns:1 explosions:1 large:2 fruchter:3 valle:1 small:1 mangano:5 wellstudied:1 overlaid:1 woosley:8 forged:1 physically:1 findings:1 foreground:1 trend:4 consistent:4 blustin:2 discover:1 progenitors:1 morphology:2 rate:6 spectroscopy:1 spectrograph:1 link:1 further:1 estimated:2 spectral:3 index:4 what:2 brien:4 3p:1 afterglows:2 current:7 version:3 3m:2 3l:2 new:2 filled:1 supporting:1 full:1 explosion:1 degree:1 lei:1 even:1 iraf:2 residual:1 here:2 understanding:2 following:2 identifications:1 excess:1 circular:7 observing:1 appears:2 extreme:1 obtained:4 search:2 covers:1 studied:2 prior:2 amount:1 resulting:2 prochaska:2 chang:1 narrow:2 studies:2 york:1 classification:1 malesani:1 unsettled:1 highly:2 apj:25 visible:1 unabsorbed:1 frame:4 granot:4 glance:1 total:1 dmax:1 plot:1 sako:2 guidorzi:1 would:3 prove:1 remains:3 their:4 therefore:3 december:4 butler:2 techniques:1 tell:1 more:4 05h:1 conclusions:1 expose:1 starburst:1 corrected:3 emission:7 stressing:1 commenced:1 transient:2 excellent:1 kulkarni:2 hole:2 mounted:1 iii:2 eγ:1 presumed:1 abundance:3 high:1 account:1 rotational:1 mb:1 science:1 originally:1 work:3 london:1 dramatically:1 erg:2 obvious:1 caveat:1 growing:1 strategies:1 trans:1 example:2 performed:4 nearest:1 dedicated:1 prompt:1 figure:6 give:1 cosmic:1 arise:1 νx:1 sample:7 indicates:1 slit:1 7rh:1 νc:2 magnitudes:3 axis:1 rays:3 soc:1 goal:1 rather:1 discussion:1 gcn:7 located:1 lamp:1 hjorth:3 absolute:1 cadence:1 isotropic:4 de:3 galactic:5 description:1 may:3 numerically:1 after:6 derived:1 collection:1 hence:1 stars:2 date:2 law:4 data:7 parallel:1 rutledge:1 physical:1 light:7 spectra:4 lines:4 correspond:1 cosmology:1 tale:1 so:1 ultimate:1 fundamental:1 correlation:1 subsequently:1 order:1 wind:1 typical:1 thorstensen:1 blind:1 evolutionary:1 interpretation:1 bracketed:1 eiso:1 taxonomy:1 over:1 restframe:1 equally:1 wiersema:2 including:2 still:1 its:8 galaxy:21 observational:1 style:1 derive:1 group:1 fit:1 decay:3 procedures:1 temporal:1 late:3 detected:4 production:2 systems:2 main:1 might:3 h0:1 lx:7 versus:1 non:1 incompleteness:2 greater:1 weakness:1 bat:6 interstellar:1 break:2 band:8 subtraction:7 half:1 now:1 bounded:1 discuss:1 association:2 february:3 alez:1 brightness:1 university:2 doradus:1 possibilities:1 morris:1 kpc:2 found:1 entirely:1 photometry:3 mean:1 kann:1 weighted:1 telescope:10 mdm:5 density:2 energy:4 hard:1 displacement:1 related:1 grbs:22 frequency:1 expect:1 combining:1 laboratory:1 event:4 out:3 shown:2 51m:1 missed:1 restricted:1 since:1 crucial:1 projected:1 research:2 content:1 cobb:3 dominate:4 shows:5 foundation:1 christensen:3 localization:3 kennicutt:2 galaxies:4 little:1 possibility:1 standard:3 paucity:1 amati:3 formation:1 imaging:2 detecting:1 telescopes:2 panstarrs:1 regarding:1 inspection:1 collapsing:1 βx:2 days:2 filter:1 place:2 massive:3 ism:1 suming:1 corrections:1 2005a:2 2005b:2 first:1 origin:4 there:3 natarajan:1 feige:1 sn:1 number:2 xe:1 channels:1 directly:1 fluxes:1 open:1 dokkum:1 given:1 jet:2 similarly:1 introduction:1 bloom:2 system:1 least:3 gpc:2 hβ:1 confirming:2 accretion:1 draft:2 observations:12 rates:1 white:1 cooling:1 final:1 chivens:1 fraction:2 wavelength:2 estimates:1 relative:1 uvot:1 lower:1 l99:1 optical:17 than:1 l9:1 population:5 begins:1 distance:2 unfortunately:4 surrounding:1 isolation:1 require:1 intensity:1 submitted:2 limiting:2 future:4 iron:2 were:7 quataert:1 exposures:1 stanek:2 displays:1 pre:1 synchrotron:1 addressing:1 spectrum:5 medium:1 headings:1 subluminous:19 seen:2 seem:1 fading:1 ray:19 conversion:1 nights:3 angle:2 responsible:1 note:3 centered:1 potential:2 2006a:2 mirabal:11 2006b:2 xrt:11 strengths:1 explanation:1 channel:1 highredshift:1 circles:1 universities:1 markwardt:3 multiple:1 allow:1 though:1 any:1 proving:1 object:2 sfr:2 falls:2 most:1 regular:1 but:1 letter:2 ccd:1 intrinsic:3 dereddened:1 dai:1 appear:2 latex:1 macfadyen:3 gorosabel:2 dordrecht:1 neighboring:1 calculated:1 adopt:1 metal:2 inferred:2 km:1 typeset:1 definitely:1 lowmetallicity:1 physics:1 fitted:1 precise:1 emerging:1 signatures:2 leicester:2 detection:3 supported:1 halpern:11 rotating:1 bright:4 ccds:1 find:2 make:1 knowledge:1 distributed:1 should:3 surroundings:1 usov:2 black:2 thompson:2 various:1 circle:4 local:5 zeh:2 ruiz:1 spun:1 dl:1 wide:1 dependent:1 between:4 likely:1 cannot:1 rest:1 report:1 during:1 delgado:1 t90:1 target:1 cleanly:1 evolution:3 bailyn:1 explore:1 luminosity:17 arxiv:1 summary:1 processed:2 ascertain:1 release:1 uncover:1 distinguishes:1 reveals:5 vink:2 set:1 circumburst:2 mazzali:3 burst:12 acquired:2 national:2 modjaz:2 maximum:1 observed:5 ara:1 see:2 radius:2 result:2 enhanced:1 operated:1 close:1 luminous:3 best:1 subject:1 instance:1 αx:3 away:1 opening:2 bias:1 xray:1 virgili:1 identification:3 respectively:2 consecutive:2 neither:1 moretti:3 across:1 willingale:2 discovery:1 available:2 variability:1 klose:1 angelini:1 august:9 nature:9 supernova:3 handful:2 weak:1 however:4 rapidly:1 clayton:1 piran:1 key:1 kev:8 higher:6 swift:8 distribution:8 toward:1 missions:1 irregular:4 ir1:1 region:1 uncertainty:1 according:1 strengthens:1 context:1 kouveliotou:2 finds:1 nearby:6 among:2 unclear:1 huang:2 cm:6 point:2 sky:3 corresponds:4 l29:1 marshall:1 table:2 throughout:1 better:1 unusual:1 sari:4 described:1 second:1 source:3 three:4 been:3 yam:2 magnetized:1 trigger:2 progenitor:9 collected:1 ph:6 galama:2 fig:8 engine:5 cardelli:2 direction:2 aj:2 corresponding:3 frontera:1 paerels:1 gal:2 understand:1 collapse:3 spie:2 evidence:2 djorgovski:1 present:1 case:1 exception:1 limits:1 supernovae:2 heger:2 budget:1 value:1 will:2 while:1 pian:5 error:3 della:1 optimize:1 thus:3 site:1 equal:1 ii:3 strain:1 obstacle:1 south:2 binary:1 different:1 grijs:1 grant:1 perhaps:1 suggest:2 began:1 reshape:1 clearly:1 epoch:1 inventory:1 survey:2 regime:1 events:15 neutron:1 difficult:2 xrtpipeline:1 columbia:2 counterparts:1 alert:1 ajello:1 culled:1 tyson:2 recent:2 concordance:1 kaneko:2 off:1 center:2 calibration:2 well:5 davis:1 analysis:2 without:1 calibrated:1 greatest:1 l101:1 position:5 model:2 whereas:1 just:1 generally:1 expanding:1 obtain:1 boller:1 sources:1 synoptic:3 finkbeiner:1 harrison:1 summed:2 localize:1 alternative:2 nousek:3 spectrophotometric:1 yet:2 previous:1 onset:1 yr:3 preprint:2 candidate:1 ny:1 conclude:2 seems:1 improvement:1 instrument:1 magnetar:1 inner:1 samples:3 continuation:1 constant:1 grb:44 east:2 references:1 frail:1 possible:1 possibly:1 quest:1 press:1 using:8 accepted:2 correcting:1 fryer:2 prominent:1 like:1 reduces:1 l113:1 kennea:1 flux:3 hosts:4 either:2 night:1 output:1 reduced:1 could:2 classical:1 kobulnicky:2 begin:1 j2000:2 observatories:1 duration:3 extinction:6 pinpoint:1 lead:1 confirm:1 measurements:4 per:2 l13:1 contrast:1 bursts:7 yields:2 proc:2 measuring:1 core:1 particular:1 power:3 metallicity:4 reach:1 processing:1 agreement:1 forming:1 stellar:4 host:26 although:1 offset:3 emulateapj:1 properties:6 stage:1 constrains:1 comparison:1 census:2 central:5 lyman:1 extension:1 universe:2 completing:2 lhost:2 discussed:1 location:1 o:11 range:3 must:1 kaiser:2 philos:1 nucleus:1 ot:7 other:2 gamma:5 demise:1 berger:4 outlook:1 significant:1 redshift:20 orders:1 into:1 within:7 year:2 implications:1 due:1 lies:3 gehrels:1 rising:1 determine:1 lastly:1 koter:2 prudent:1 van:1 additional:4 impeded:1 measured:2 support:1 initial:2 long:4 outflow:1 low:10 liang:3 ed:1 astrophysics:1 perna:1 was:7 function:5 revised:1 complete:1 form:1 hr:5 gammaray:1 becoming:1 burrows:1 extended:1 astro:6 aperture:1 magnitude:4 contradictory:1 solar:1 line:4 true:4 considerable:1 applying:1 hartmann:1 whether:2 ut:7 uv:1 up:3 until:1 below:1 converted:1 ωm:1 uk:1 problem:1 2006aj:1 similar:1 average:1 bandpass:1 fluence:1 associated:3 play:1 deaths:1 stripped:1 abstract:1 redshifts:5 deep:1 general:2 images:2 single:2 exist:1 our:5 controlled:1 ramirez:1 simplest:1 gonz:1 inc:1 nh:2 compared:2 beaming:1 no:4 image:9 when:4 collimation:3 field:4 implied:2 role:2 digital:1 department:1 apparent:2 star:5 superposition:1 models:3 ultimately:1 pointings:1 chance:1 important:1 afterglow:11 peak:1 included:3 complications:1 moreover:1 astronomy:3 structure:1 conclusive:1 vlim:1 implies:2 prevalent:1 assume:1 curve:5 together:1 portion:1 4m:4 correlates:1 time:2 n0:2 observables:1 resolution:1 |
0704.3070.txt |@word partial:2 consider:11 illustrates:1 results:1 leads:1 eds:3 scalar:1 edu:1 consists:1 reasoning:1 inverse:1 depend:5 i2:1 tt:10 equivalence:1 recurrence:1 uniqueness:26 under:15 worth:1 norm:1 p2:2 belonging:1 supported:2 expressing:1 g0:2 very:3 detlef:1 continues:1 translations:1 connects:1 wave:36 every:8 formula:2 emphasized:1 difference:1 condition:10 presented:1 positions:3 michael:1 solution:2 t0:1 large:2 vector:1 small:2 eigenvalues:1 probably:1 lines:1 configurations:2 abbreviated:1 says:4 consistent:1 among:1 measurable:10 likely:4 street:1 evaluated:1 rigorous:1 further:1 dynamics:20 quite:1 canonical:1 even:3 what:7 appear:1 rationally:1 fine:1 section:12 selected:1 near:1 expressed:3 agrees:1 version:2 3n:1 above:5 new:2 consisting:1 justification:1 led:1 qm1:15 respectively:3 never:2 component:4 here:6 them:1 galilean:1 alone:1 ontario:2 along:2 strong:2 equations:2 change:3 obtained:1 great:3 generalizing:1 suitably:2 institute:2 larger:1 wherever:1 completely:1 kiessling:1 suggests:1 periodic:5 resulting:1 usually:3 conveniently:1 suitable:1 changes:1 involves:1 genuinely:1 uniquely:3 via:1 family:1 apr:1 marginal:1 merely:1 assertion:1 hamiltonians:1 equivariant:40 support:1 establish:2 select:1 derivatives:9 use:3 quasi:2 additive:1 usa:1 commun:1 recalling:1 continuous:1 contains:1 predictions:1 ψt:74 next:1 ψi:1 call:3 therefore:1 m3:1 m2:1 sharpen:1 2y5:1 theoretical:2 decomposable:1 more:11 sort:2 constructed:2 composite:4 initial:9 factor:1 odinger:22 everywhere:4 normalized:1 particular:5 projective:2 hold:1 iii:1 must:8 evolves:5 valued:5 mm:3 science:1 equation:20 work:1 mk:2 values:2 following:7 making:2 appraisal:1 example:19 nino:1 proof:4 point:2 meant:1 weaker:3 indicated:1 give:2 relativistic:2 choice:2 permutations:1 purposes:1 states:2 contradicts:1 assumptions:1 numbers:1 typicality:2 sense:2 orbits:3 keep:1 conversely:1 worse:1 normalize:1 respective:1 quantph:1 rather:2 cushing:1 discussion:4 differentiability:1 write:2 maps:1 nontrivial:5 answer:2 guarantee:1 map:2 product:1 description:1 may:5 after:1 mapping:4 consequence:2 plane:1 law:1 meaningful:1 constants:7 advocated:1 dynamical:11 third:1 whenever:1 explicit:4 so:22 oq:2 allow:1 order:2 typical:2 restriction:1 reversal:1 noteworthy:1 developed:1 move:1 choose:2 eiθj:1 course:7 paper:3 through:2 statistical:2 mentioned:1 satisfies:8 still:3 its:6 boosts:1 tumulka:1 group:3 thumb:1 ln:3 interesting:1 masses:1 kluwer:1 frelinghuysen:1 coordinates:2 parts:1 compelling:1 systems:5 mail:2 main:1 might:6 into:2 eme:1 non:5 good:1 hψ:10 impossible:1 introduce:2 obeyed:1 they:2 identically:1 oxford:1 now:10 nor:1 densities:5 term:2 finite:3 goldstein:8 always:3 university:3 hamiltonian:3 factorizable:1 sufficiently:6 l2:4 reasonable:1 each:5 fψ:1 found:1 entirely:1 side:1 subset:5 differential:1 successively:1 meets:1 ed:1 hard:1 ball:1 expect:3 measure:32 quantum:30 our:3 beyond:2 canada:2 shown:1 space:17 furthermore:1 since:15 rev:1 research:1 particles:10 acting:1 hill:1 stud:1 rm:21 correct:1 math:2 fiber:4 theory:8 associate:1 disagree:1 possibility:1 standard:1 isham:1 reason:1 base:1 complicated:1 imagine:1 ask:1 equipped:1 e1:1 universally:1 pairs:1 waterloo:1 r3:3 rule:1 could:2 times:1 motion:21 produce:1 specification:1 hence:7 suffice:1 first:10 already:2 probability:26 variables:8 number:1 iht:3 hans:1 another:2 neighborhood:5 precisely:5 given:27 cartesian:1 rewritten:1 similarly:3 introduction:1 together:1 system:21 least:1 their:2 identity:1 statement:4 gives:1 free:2 centered:1 addition:1 speakable:1 part:4 natural:7 translation:1 believe:1 representing:1 than:5 specify:1 finitely:2 penrose:1 was:5 require:1 namely:2 crossroads:1 determined:2 were:5 providing:1 treated:2 perspective:1 conseil:1 r3n:1 symmetries:1 appreciate:1 mind:1 argument:4 generalization:1 discussions:2 say:6 need:5 seen:1 seem:1 any:20 genuine:1 zero:1 latter:1 physique:1 gravity:1 note:4 concerns:2 generalized:1 measurability:7 paris:1 finding:1 province:1 spectral:1 play:1 regard:1 multiple:1 shall:6 who:1 xψ:4 most:4 satisfying:1 locality:11 acknowledgements:1 extremely:1 tξ:4 don:2 considered:1 later:1 flow:14 points:2 electrons:1 mri:1 urr:8 narrow:1 velocity:4 effect:1 usual:2 physics:4 notion:5 fact:11 applied:1 2m1:1 show:4 random:4 q3n:1 representatives:2 relation:2 solutions:2 uniform:2 trivial:3 indicate:1 ground:1 q1:13 q0:4 q3:1 q2:1 true:1 guidance:2 written:4 should:9 only:15 explicitly:1 indeed:5 various:1 constant:23 caroline:1 local:17 equilibrium:30 continuity:9 do:2 normalizations:1 goes:1 notation:1 means:6 df:3 de:4 bear:1 satisfied:1 joint:1 words:1 expresses:1 combinations:1 2mk:3 dt:9 du:1 dq:39 normalizable:1 evolution:5 qt:14 totality:1 hereditary:1 conditions:4 arxiv:1 yield:2 acknowledged:1 twice:1 tφ:4 qi:1 qk:14 fixed:5 qm:1 valid:1 qn:5 requirement:4 set:17 modulo:1 exists:1 relative:2 collectively:1 see:12 radius:1 result:5 fail:3 forthcoming:3 philosophy:1 ergodicity:14 phases:1 invoked:2 familiarity:2 functionals:4 hist:1 state:5 smallest:1 identification:2 between:4 invariant:11 approach:2 contradicting:1 terms:3 extend:1 importance:1 weak:5 however:6 gratefully:1 vanishing:1 extent:1 subgroup:1 analyzed:1 configuration:22 suppressed:1 autonomous:1 suggested:1 observing:1 many:10 taking:1 equal:2 demanded:2 agree:6 connection:5 objective:1 iv:2 poincar:1 valentini:3 argue:1 expression:1 photons:1 jersey:1 grounds:1 cj:2 presumably:2 relevant:2 cn:2 bell:3 ca:1 corresponds:1 insist:1 satisfaction:2 maudlin:1 right:1 respect:5 throughout:1 speak:1 considering:1 described:1 transformations:4 differs:1 union:2 trajectory:2 locally:3 conflicts:1 much:5 combined:1 pe:12 expected:1 ph:5 formalized:1 define:4 θj:2 ergodic:23 arises:1 corresponding:4 oψ:7 sufficient:4 iµ:3 spectrum:1 rapports:1 implied:1 bohmian:25 understand:1 representative:1 general:7 former:1 those:1 case:10 exception:3 p1:2 subsets:1 defining:1 empirical:2 value:1 choices:1 will:18 equivariance:26 while:4 rutgers:2 suppose:11 situation:1 property:3 tφ1:1 tφ2:3 would:13 n2l:1 almost:9 allows:1 owen:1 thus:11 vm:1 according:3 ii:2 characterize:2 regularity:1 im:1 nserc:1 sciama:1 φq:2 containing:1 φt:1 grant:1 perhaps:2 cross:1 same:4 clearly:2 complex:1 quant:5 split:1 φi:1 φj:1 defines:3 φn:1 difficult:1 perimeter:2 independent:9 tighten:1 used:2 imply:2 trivially:2 i1:1 assignment:1 trajectories:3 upon:1 functions:18 hand:5 action:8 moving:1 infinite:1 invariance:1 normalization:2 weakly:1 schr:22 center:1 pµ:1 studies:1 stationarity:5 well:5 roughly:2 analysis:2 obviously:4 bohm:7 nonetheless:1 components:5 english:1 arising:1 dimension:2 weakest:1 just:2 less:9 generally:1 obtain:2 actions:1 properties:4 immediately:1 touch:1 yes:1 eigenstates:1 previous:3 dqt:1 villars:1 lebesgue:1 density:21 regarded:6 conclude:1 seems:2 except:1 boston:1 potential:1 lett:1 easy:5 eigenstate:1 real:5 spinless:1 depends:5 government:1 replaced:1 showing:1 spatial:1 possible:5 possibly:1 consisted:1 press:3 necessary:2 bit:1 unique:2 mod:1 dimensional:2 imposed:1 helpful:1 particle:6 follows:11 reduces:2 ignore:1 continue:1 yields:3 evolutions:1 become:2 stationary:21 because:5 often:3 conditional:3 some:10 begin:1 certain:2 understood:2 broglie:3 examples:2 moreover:2 pψ:32 proofs:1 provided:3 cψ:1 rψ:1 piscataway:1 does:6 decomposition:1 provides:2 ψt0:1 refer:1 measures:1 obey:2 retains:1 equivalent:3 q2k:3 clarendon:1 br:1 eye:1 imaginary:1 antony:1 hilbert:6 earlier:2 gauthier:1 about:1 actual:3 carried:2 zangh:5 universe:4 dependence:1 probabilities:3 range:3 ic1:2 road:1 individually:1 cambridge:3 statements:1 h2:2 image:1 h1:2 rotations:1 functional:46 nsf:1 lies:1 appropriate:2 en:1 references:1 elementary:1 mere:1 eht:1 statistics:1 additional:1 assumed:2 strictly:8 there:18 question:1 spread:1 accordingly:1 way:6 m1:9 exceptional:1 sections:2 naturally:1 function:34 north:1 complete:1 form:12 basic:2 but:9 hi:1 line:5 hf:5 hg:1 illustrative:1 count:1 applying:1 hartmann:1 whether:3 wish:3 smooth:1 up:1 us:3 different:3 dordrecht:1 dms:1 distribution:47 similar:1 called:4 connect:1 mechanics:15 phil:1 associated:3 defined:13 stronger:2 abstract:1 specified:1 denote:5 single:4 exist:1 departments:1 distributions:12 simplest:1 physical:1 again:1 nj:2 differentiable:3 weakened:1 no:9 amounts:6 whereas:1 when:14 vanishes:1 field:4 other:9 role:1 details:1 becomes:2 mathematics:1 explaining:1 stat:1 subspace:1 remains:1 bundle:1 generated:1 important:1 n1:2 variable:9 implies:8 dψ:27 assume:1 changed:1 orbit:6 governed:1 observe:1 mass:1 reprinted:1 bacciagaluppi:1 time:14 far:1 perimeterinstitute:1 requires:1 having:5 unspeakable:1 covariant:1 |
0704.3071.txt |@word represent:1 sci:1 consider:1 cytosol:1 rev:1 forbidden:2 results:6 illustrated:1 consists:1 expressions:1 contributions:1 localized:1 devoted:1 certainly:1 depend:3 calculate:1 iii:3 segments:1 deterministic:13 ıa:1 tail:6 does:1 stable:1 intercellular:3 include:1 dramatically:1 alternating:1 division:1 belonging:1 takes:2 very:2 activation:3 rise:1 account:2 unregulated:1 every:4 cellular:1 differentiated:1 presented:1 altering:2 developing:2 joined:2 large:1 solid:1 small:2 biological:2 noted:1 dimer:3 smaller:3 oscillation:4 kimmel:1 rate:12 dev:5 further:2 dynamics:1 estimated:1 even:1 what:2 clock:18 section:6 while:5 supplied:1 cell:45 version:2 goes:1 new:6 body:1 compact:1 segmentation:9 chose:2 respectively:2 genes:11 modify:1 here:6 behaviour:1 following:1 address:1 alone:2 along:3 equations:1 appears:2 change:2 obtained:9 inhibitor:1 involved:5 study:4 studied:1 experience:1 herrmann:1 periodic:4 resulting:5 gene:29 changes:3 rdk:5 control:1 via:1 spatially:1 nearest:2 apr:1 stochasticity:1 decrease:3 stern:2 total:2 daley:1 use:1 dna:4 figure:4 usa:2 probabilities:2 contains:1 finally:5 therefore:5 until:1 more:4 beyond:1 michaelis:2 becomes:1 interplay:1 transient:6 stochastic:11 known:5 conditioned:1 producing:3 nend:1 couples:1 keeping:1 takeda:2 science:1 equation:2 work:1 oscillator:5 modified:1 mk:11 del:1 starts:1 growing:2 meet:1 drops:1 averages:2 example:1 refine:1 streak:1 heart:1 compare:1 synchronized:2 give:1 process:10 discussed:1 choice:2 menten:2 states:4 spl:1 numbers:1 allowed:1 tal:1 spa:1 tions:1 occur:3 advancing:1 axis:6 haploid:3 information:9 redundancy:1 end:11 mouse:1 discussion:1 acts:2 species:4 positional:7 how:3 ish:1 pair:2 animal:1 answer:1 instead:1 parameter:5 pathway:2 hox:1 oscillatory:1 wave:1 product:6 mar:1 description:1 may:1 freezing:2 oscillators:2 after:2 derived:1 diagram:1 between:17 fk:7 synchrony:2 jiang:2 bind:1 anytime:1 cascade:1 switch:2 chemical:1 expression:2 allow:1 decreasing:1 order:1 origin:1 feedback:1 indeed:3 pointed:1 vary:1 primitive:1 produced:2 course:1 experiments:1 through:3 statistical:1 during:1 converting:2 kinetic:2 arrangement:1 its:7 adhesive:1 derive:1 longitudinal:2 ligand:1 somewhere:1 fined:1 temporal:4 solving:1 decreases:1 forms:1 window:1 production:1 fig:28 constitutes:1 pcrit:5 decreased:1 argentina:1 main:1 tory:1 maximal:1 schnell:1 them:2 outlined:1 tpk:3 disrupted:1 effects:1 they:4 front:1 now:4 developments:1 above:3 represents:7 february:1 university:1 level:9 proteins:5 identified:2 stopped:1 mrna:23 each:9 crossing:1 identifies:1 side:1 mean:1 beween:1 differential:1 directly:1 generation:1 idea:1 related:3 catching:2 morphogen:3 expect:1 combining:1 loops:1 our:11 transitions:1 eq:4 message:3 out:2 ultimately:2 unbound:5 network:1 space:1 gradient:8 crucial:4 denotes:1 increase:2 perturbed:2 occurs:1 shows:1 earlier:1 linear:12 interactions:2 mechanisms:1 free:2 versus:1 tial:1 carried:1 formation:13 directionality:1 regulatory:13 intermediate:1 lineal:4 temperature:1 incorporates:1 pairs:3 interaction:1 created:3 dpk:1 could:1 motion:1 caption:3 length:3 levels:2 universidad:1 eqs:5 first:2 embryo:9 there:5 probability:6 perturb:1 variables:4 number:18 reaches:1 specifically:3 another:1 crit:1 reached:3 array:17 wavefront:43 size:8 given:7 perturbation:4 periodicity:3 likely:1 kon:4 introduction:1 leading:1 top:2 system:4 approximately:2 kof:6 their:10 regulation:3 perturbations:4 rates:1 dubrulle:1 master:1 cycle:5 structures:2 final:1 urban:1 relationship:1 wavelength:1 released:1 part:3 differentiate:1 manipulation:2 translation:6 believe:1 representing:1 than:3 coefficients:1 begins:2 relative:1 kind:1 molecular:1 maini:1 zero:1 aims:1 seminars:1 delay:2 amplitude:2 were:6 toward:1 minh:1 function:10 indepedent:1 argument:1 randomly:1 prv:6 manner:2 seen:2 concentration:30 any:6 oates:1 min:16 transcription:13 mechanism:4 note:2 instance:1 high:3 take:2 finding:1 unperturbed:1 begin:2 added:2 altered:1 though:1 simulated:2 reach:2 falls:2 pertinence:1 extending:1 rhk:4 phase:9 segment:1 doi:1 reduces:1 consequences:4 considered:1 neighboring:1 calculated:6 focussing:1 posterior:10 elowitz:1 urv:2 exp:2 velocity:18 notch:13 typically:2 fact:1 signaling:1 spatiotemporal:1 show:1 henry:1 lewis:4 random:7 synchronous:3 sites:2 implying:1 solutions:1 chicken:1 data:1 find:1 postulates:2 current:2 based:2 knowledge:1 parameters:7 implementation:1 delays:6 controls:5 should:1 values:9 molecules:18 integrate:1 local:3 diffusion:3 plata:1 notation:1 means:2 de:3 stop:1 supposes:1 degradation:2 ones:2 extrinsic:1 report:1 portions:1 dt:3 dp:1 evolution:1 arxiv:1 alteration:1 paper:3 creates:2 qm:1 embryonic:1 enhancer:1 hairy:3 3x10:2 set:1 exists:1 vertebrates:1 observed:2 see:10 individual:2 result:5 existence:1 conicet:1 close:1 best:2 page:1 phases:2 pattern:11 assumed:2 tend:1 boundaries:1 state:5 future:1 chosen:1 zebrafish:16 boundary:3 reading:1 variability:1 accord:1 creating:2 do:1 initially:3 interfaces:1 however:4 key:1 group:2 fgf:3 alters:1 dissociation:1 suggested:1 both:6 essentially:2 feeling:1 instant:1 irregular:1 minutes:13 biologically:4 equal:2 zeeman:1 display:1 sensitive:1 involve:1 transplantation:1 figures:1 dated:1 context:1 heterogeneities:1 passing:1 whole:1 otherwise:1 ck:3 regulates:3 timescale:1 point:1 simple:2 others:1 dimensional:6 regulated:3 associated:4 considering:2 described:1 raise:2 second:1 addition:2 create:2 intracellular:8 vertebrate:5 due:4 been:7 mark:1 genetic:1 initiation:2 combined:1 pk:10 proposal:1 choose:1 avian:1 corresponding:1 finishes:2 reaction:3 formed:8 shinya:1 gap:1 neighbour:1 coherent:1 determination:1 hypothesised:1 maximally:1 present:1 case:4 novel:1 processes:1 external:1 pacs:1 frozen:3 siggia:1 value:12 will:2 near:1 suppose:3 behavior:5 shift:1 stopping:1 situation:1 taking:2 correspondence:1 larger:4 coupled:4 thus:6 site:13 iv:2 ii:4 regularity:1 itself:1 protein:31 interacts:2 increased:2 sequentially:1 different:5 moves:1 perhaps:1 suggest:1 intrinsic:1 same:10 proceeds:1 complex:1 split:1 schematic:1 products:5 φk:1 segmental:1 development:4 meets:1 used:5 peaks:1 effect:1 hand:1 driven:1 average:2 compared:2 moving:1 meinhardt:2 recent:2 lower:1 off:2 dotted:1 p11:1 makes:1 no:3 roughly:2 patterns:2 kawakami:1 without:2 repressor:2 components:1 sets:1 position:6 model:41 paradigm:1 grossly:1 interpret:1 proposed:3 linked:2 obtain:1 rest:1 shape:2 underlying:3 questions:2 swain:1 differentiation:2 useful:2 speed:3 r0k:5 adding:1 rapid:1 cur:1 conclusions:1 transcriptional:1 had:1 nacional:1 wall:1 add:2 extends:1 natl:1 remaining:1 real:1 bio:1 around:1 depends:2 psm:23 advances:6 rna:1 possible:6 early:1 department:1 increases:1 inhibition:2 using:7 emergence:1 membrane:1 advanced:1 necessary:2 lost:1 follows:1 signal:2 temporally:1 specific:1 either:1 simply:2 qualitative:1 towards:3 because:4 namely:1 sequence:1 plausible:1 back:1 growth:6 export:1 examples:1 specified:1 oscillations:20 holley:1 dissociated:1 beads:1 shall:1 per:11 repression:2 critical:8 connecting:1 assuming:3 tmk:8 proc:1 inserting:1 destroys:1 biology:5 noise:13 obey:1 indicated:1 molecule:4 bioessays:1 oscillating:4 agreement:1 illustration:1 bk:3 step:1 properties:1 noisy:3 comparison:3 about:2 central:1 would:5 embryos:3 most:3 column:1 oc:1 generated:2 o:6 simulation:8 range:1 ξk:8 obeys:1 neighbor:6 concentrations:23 os:1 henrique:1 anterior:11 raised:1 ingenier:1 presence:2 previously:1 communication:1 into:6 within:4 ηk:8 bound:12 down:1 lies:1 appropriate:1 acad:1 rv:35 binding:1 fast:1 her:3 emory:1 measured:1 initial:2 question:2 transform:1 biol:6 facultad:1 low:3 way:1 analyze:1 was:1 assumes:1 synthesis:6 rhythmic:1 head:2 complete:1 form:7 forming:4 but:10 repeated:2 ho:1 delta:3 sustained:3 line:3 bud:4 made:1 arranged:1 surprising:1 characteristic:1 cells:55 dmk:1 up:1 kk:3 below:4 limit:1 cue:1 mature:1 locally:1 distribution:1 stages:1 similar:2 called:2 obtains:1 detailed:2 dill:1 interval:3 constant:5 int:1 certain:3 ak:3 describe:1 general:1 ap:3 conserved:1 simulations:6 lifetime:1 ing:1 simplest:1 constructed:2 mrnas:1 again:1 functions:1 codes:1 nn:5 ingredients:1 dashed:1 whereas:3 when:18 inset:2 reality:1 other:5 sawada:1 spatial:9 patterning:3 conclusion:2 dale:1 coherence:1 generates:1 developmental:1 models:3 symbol:1 shown:5 variation:1 develops:1 important:4 variable:4 structure:3 faster:1 assume:6 physics:1 baker:1 required:2 kinetics:1 together:2 portion:2 segmented:1 weights:1 time:32 signalling:13 starting:3 once:1 |
0704.3072.txt |@word concept:2 sci:1 systematic:1 extremes:1 rob:1 particular:1 dynamic:1 results:4 disc:1 menou:2 edu:2 follow:2 disk:1 transits:10 transiting:10 zone:2 swan:1 protostars:1 finally:1 seager:8 maryland:1 must:1 brown:3 esa:6 outside:1 very:5 synchronous:1 end:1 multi:3 every:2 manageable:1 dim:1 spie:1 moderate:1 clouds:1 level:5 transmission:1 turns:1 who:1 proposals:1 bright:1 integrated:1 large:6 fogg:3 team:1 small:1 l96:1 cfm:3 neighborhood:3 trend:1 dealing:1 estimates:1 likely:2 cost:5 pasp:5 ccds:1 implemented:1 spectral:1 index:3 errors:1 pts:2 contributed:1 tremaine:2 current:1 version:1 goes:1 90o:1 contrast:1 full:1 dwarf:1 degree:1 extrasolar:1 here:2 hundreds:1 hours:4 explore:1 objects:2 focused:1 others:1 iras:1 observing:2 knowledge:4 g2v:1 search:2 hansen:1 hunting:1 division:1 technical:1 inspired:1 studied:1 steffen:5 experience:1 simultaneous:1 survey:7 harrington:1 fourier:1 studies:1 honor:1 control:2 via:3 hst:1 extra:5 apr:1 transit:14 photometric:3 tracking:1 scaled:1 astrometry:2 aimed:1 total:3 circumvent:1 estimate:2 cloud:1 use:3 takes:1 would:6 failed:1 positive:1 etc:2 visit:1 mandell:2 properties:2 predict:1 program:1 therefore:1 butler:2 type:1 minor:1 more:5 separated:1 apparent:1 mismatch:1 emission:1 observations:3 excellent:1 known:4 presumed:1 account:2 hour:2 canceled:1 science:3 des:2 eclipse:1 modified:1 mj:2 mall:2 budgets:1 following:3 meet:1 arrive:1 example:3 performed:1 point:1 stated:1 process:1 pont:5 inaccessible:2 high:2 indicates:2 numbers:1 magnitudes:2 keep:1 occur:1 simple:1 terrestrial:1 information:1 needs:1 monitoring:1 goal:3 provide:2 how:1 criterion:1 instead:1 sim:1 fr:3 galactic:1 description:1 after:1 orbits:2 diva:1 catalog:1 plane:2 spectrometer:1 data:2 heidelberg:1 clarkson:1 correlate:1 crowded:1 light:3 schneider:1 spectra:4 irwin:2 element:3 rather:4 extrapolation:1 so:8 allow:1 sozzetti:3 operate:1 sackett:2 order:1 operations:1 horne:2 over:2 vary:1 mission:11 years:6 stability:1 course:1 attitude:1 paper:1 statistical:1 astrobiology:1 its:2 before:1 superior:1 rapidly:1 exclusion:1 located:1 masses:6 baas:3 expectations:1 ornelas:2 systems:3 covered:1 main:1 eventually:1 non:1 good:1 combination:1 propose:6 primary:1 scaling:1 band:2 effects:4 they:3 easily:1 term:1 hereafter:1 university:1 cnes:1 capability:1 magnitude:6 cadence:2 reasonable:1 radial:1 difficult:2 exquisite:2 mean:1 subset:1 en:2 significantly:2 weight:2 independent:1 catalogues:1 hard:1 reduce:2 related:2 remove:1 substantially:1 our:9 operation:1 event:1 out:1 rv:2 opened:1 space:4 res:2 since:1 crucial:4 looking:1 photometrically:1 electronics:1 gov:1 forth:1 occurs:1 shows:1 asp:3 galaxies:1 given:1 escud:2 reason:2 base:1 formation:4 brightest:1 org:1 detecting:3 generate:1 publication:1 perform:1 launch:1 biosphere:1 could:2 days:8 times:6 creates:1 length:2 produce:1 massive:2 hence:1 trickle:1 onto:1 blind:1 features:1 probability:4 scanning:1 variables:1 tinetti:2 number:8 smaller:1 least:1 another:1 force:1 size:2 dispersive:3 surveys:5 perturbation:1 temperature:2 their:5 introduction:1 system:1 leavitt:19 indicate:2 accretion:1 focal:3 white:1 hundred:3 too:1 mostly:1 distribution:1 relative:1 exactly:1 park:1 task:1 part:1 july:1 than:7 detection:2 target:2 require:1 intermittent:1 rate:3 project:4 determined:4 aas:1 radius:3 similar:1 result:3 false:6 well:5 outperforms:1 kepler:3 manner:1 habitable:1 need:1 seen:1 albedo:1 contents:1 nights:1 angle:2 able:2 note:2 fitting:1 edge:1 milli:2 finding:4 destroy:1 l115:1 analogs:1 l113:1 accuracy:1 even:1 dimming:1 towards:1 though:1 quote:3 measures:2 most:3 zucker:1 significant:1 extremely:1 class:5 tpf:3 charbonneau:7 surprising:1 exo:1 alarm:2 cover:2 points:1 cepheid:1 sun:3 velocity:1 dispersed:1 typically:1 fact:5 planetary:7 reductions:1 cheap:1 radii:1 uranus:2 earth:7 turnbull:2 epochs:1 find:6 ground:2 access:1 giant:3 slow:2 based:4 proposed:4 implementation:1 cousins:1 casertano:1 enough:1 should:2 brighter:1 only:1 going:1 enriched:1 factor:4 hipparcos:4 thousands:2 achieve:2 regularly:1 do:1 above:3 wide:1 df:3 de:1 overall:1 words:1 altogether:1 timing:1 during:2 averaged:1 evolution:1 precession:2 continuum:2 fields:1 arxiv:4 encyclopedia:1 yield:3 view:2 available:1 temporarily:1 art:1 aspect:1 exists:1 achieved:3 achieves:1 deming:2 observed:3 see:1 legacy:1 college:1 migration:4 issi:1 ari:1 best:1 techniques:1 detect:2 currently:1 macros:1 state:1 myriad:1 between:1 email:1 discovery:2 knowing:1 multiplied:1 parent:3 provides:1 confusion:1 however:6 group:1 pixels:1 both:2 improved:1 missions:4 many:5 sensitive:1 planned:1 longperiod:1 pdf:9 argue:1 temporal:1 otherwise:1 cm:1 characterization:2 color:6 period:9 path:1 respect:1 ensures:2 sari:1 three:1 been:4 strategy:1 much:3 combined:1 basic:3 expected:3 ph:4 define:1 life:3 relations:1 observable:1 xxx:2 precision:1 tycho:1 encycl:2 observe:1 grillmair:2 demand:1 last:1 spin:1 former:1 those:2 inhibit:1 atmospheric:2 budget:1 remaining:1 will:12 while:7 property:1 characterizing:2 larger:1 jpl:1 almost:1 thus:2 saturation:1 vo:2 characterize:1 conf:3 fame:5 classified:1 baseline:1 proto:1 perhaps:1 things:1 granted:1 same:4 shorter:1 epoch:1 html:2 several:4 events:1 higher:1 week:1 fairly:1 used:3 http:9 raymond:1 olling:8 hand:2 levels:1 v5:1 uni:1 dust:1 positives:3 normalization:1 recent:1 suitable:1 off:2 programs:1 changes:1 neptune:5 roughly:8 analysis:1 calibrated:1 consistency:1 ccd:1 model:3 redistribution:1 agol:6 lattanzi:1 just:1 object:1 accurate:3 obtain:2 sources:1 predicts:1 rapid:1 preprint:1 density:2 ease:1 scales:1 sky:4 capabilities:1 instrument:4 5o:2 spread:1 extends:1 extensive:1 unprecedented:1 mmag:6 usable:1 explained:1 march:1 around:1 psf:6 possible:2 increases:1 five:1 extrapolating:1 highly:1 corot:2 miralda:2 atmospheres:1 apj:12 scan:1 like:4 alternatively:1 reduces:1 sized:1 detections:4 yields:1 tabachnik:2 arbitrary:1 signal:1 www:4 because:4 methods:1 sequence:1 outnumber:1 platforms:1 jupiter:2 mirror:2 duration:2 imager:1 creep:1 libbrecht:1 scale:1 lead:2 avoid:1 measurements:1 integration:1 per:1 instantaneous:1 umd:2 eliminate:1 fortney:2 rectangular:1 eso:1 sdss:2 inclination:1 destroys:1 noise:1 power:1 each:1 costs:1 padmanabhan:2 periodically:1 about:6 photometry:13 actual:1 working:1 origins:1 universe:1 simulation:1 range:5 stand:1 obspm:2 johnston:5 reasons:1 queloz:1 simulated:1 inclusion:1 into:1 obtaining:1 gaume:8 due:6 down:4 perryman:2 weather:1 references:1 determine:1 strip:1 cho:1 telescope:1 tingley:4 additional:2 area:2 assumed:1 astrometric:5 there:1 transform:1 long:4 systems1:1 dispersion:1 low:4 stars:11 astrophysics:4 was:2 function:3 ago:1 complete:1 latex:1 bus:1 but:1 ford:3 astro:6 taken:1 heat:1 repeatedly:1 solar:9 mnras:5 magellanic:1 gaia:7 longer:2 count:1 systematics:1 up:6 planet:10 below:1 limit:1 spectroscopy:4 continuously:1 meters:1 problem:1 minutes:1 average:1 nature:1 expect:1 detailed:2 slitless:1 diverges:1 int:2 abstract:1 aj:1 mode:1 scanned:1 periods:5 planets:33 simulations:2 moves:1 spends:1 physical:1 ser:3 compared:2 when:2 field:3 prism:1 other:5 compares:1 department:1 polar:1 repeat:1 star:3 models:1 why:2 drift:1 visits:1 prepared:1 invested:1 suited:1 variable:1 astronomy:1 searches:1 sigurdsson:1 implies:1 exoplanets:1 wifi:1 assume:2 required:3 orbit:1 nasa:2 mass:10 nelson:3 time:3 richardson:4 once:1 |
0704.3073.txt |@word arcminutes:1 landecker:1 extrapolated:1 remarkable:1 represent:1 rev:1 comparatively:1 dynamic:8 results:4 yellow:3 leads:2 gf:1 systemic:12 gc:1 winds:8 remarkably:1 denotes:1 revealed:1 gi:1 compact:4 certainly:1 bronfman:2 wish:2 piatti:4 technique:1 young:1 send:1 protostars:1 environment:16 does:4 contours:5 marks:1 g338:25 indicating:1 lack:2 far:8 connects:1 wave:1 electron:6 difficult:1 sensitivity:1 molonglo:2 bubbles:10 mcclure:6 vlt:1 four:2 clouds:3 did:2 positions:1 shock:4 list:1 t0:1 large:14 solved:1 supplement:1 burke:1 small:4 shows:2 upper:2 smaller:1 consistent:2 estimates:6 literature:3 surrounding:2 likely:9 premain:1 tangential:1 go:1 naomi:1 further:2 dynamics:1 gaensler:2 depression:1 even:2 index:1 appear:1 rate:1 giving:1 sun:13 section:2 fingers:3 agrees:3 wd1:1 sequential:1 suspect:1 new:2 method:1 thin:4 devoted:1 evolving:1 centric:5 explosion:4 dwarf:1 respectively:2 component:1 equals:1 here:2 objects:10 tangent:23 possibility:1 groups:1 excess:2 alone:1 ratio:4 along:5 quite:2 observing:1 change:1 deduced:2 box:1 figer:4 northern:1 canadian:1 institute:1 shift:1 study:5 larger:5 myrs:1 suggests:3 survey:9 milky:5 dickey:3 adopting:1 history:1 makes:3 missing:1 plotted:2 diameter:8 prints:1 griffiths:6 clark:14 slices:5 kinematically:1 search:1 photometric:3 highly:3 scaled:2 visible:3 decrease:1 names:1 total:5 tools:2 analyses:1 cloud:3 readily:2 confidence:2 figure:2 would:8 remains:3 contains:3 arms:19 comparing:1 snrs:5 foster:2 kinematics:1 therefore:4 averaging:2 calgary:2 inner:3 associated:2 churchwell:1 creates:1 more:8 flat:5 riu:1 ambiguity:1 populations:2 becomes:2 apparent:1 emission:30 tested:1 berlin:1 profiles:9 excellent:2 known:4 actual:3 hole:3 given:3 dougherty:8 must:2 account:1 te:1 ma:1 pushed:3 work:1 show:2 longitude:4 arches:1 values:11 publications:1 cal:1 believed:3 example:1 impeded:1 loca:1 bica:1 indicated:13 peracaula:1 expanding:6 high:5 indicates:5 minimum:1 incredible:1 council:2 exclude:1 times:1 hydrogen:4 absolute:3 influenced:1 stil:2 end:5 goal:1 rather:4 s2:1 discussion:1 get:1 enl:1 feature:15 regions:21 very:12 elliptical:1 crowther:9 instead:1 preferable:1 circular:9 profile:9 map:5 mas:1 galactic:32 tried:1 utilise:1 information:1 may:3 waters:2 use:3 derived:7 mapping:1 plane:13 snr:2 najarro:1 law:1 data:15 constants:1 dynamical:1 imply:1 sgps:11 lines:2 ghz:7 quadrant:1 ionized:4 so:2 sect:3 sc:1 sa:1 mjy:6 wind:8 typical:1 remnants:4 help:1 produces:1 indeed:1 over:5 displayed:1 years:2 produced:4 supergiants:5 thermal:1 paper:1 including:2 tta:1 still:2 its:15 galaxy:15 contaminated:1 arcminute:1 derive:7 galacto:4 thank:2 fit:1 maps:1 somewhere:1 lo:1 facility:1 vicinity:6 coordinates:1 actually:1 better:1 detected:1 complex:11 fig:49 omitted:1 recombined:3 clusters:3 main:5 might:2 image:2 happened:1 versus:1 non:3 views:1 propose:2 material:12 ye:1 evolution:2 investigated:3 encouraging:1 they:2 rotation:21 yr:5 maxwellian:1 nor:1 densities:1 represents:4 february:2 dessart:2 brightness:6 vsys:2 university:2 feast:2 identified:3 rohlfs:3 lazio:5 morris:1 kpc:51 reasonable:1 radial:19 found:6 spectroscopically:1 photometry:2 side:8 few:1 russeil:4 weighted:3 telescope:2 due:2 density:11 energy:1 revised:1 kothes:9 related:5 astrophysical:3 measurement:1 our:14 beyond:5 thick:1 canada:4 shown:7 space:6 gradient:1 characteristic:1 furthermore:1 since:14 goodwin:1 projected:3 research:2 increase:1 re:3 investigation:1 newly:2 squares:1 red:2 predicted:1 benjamin:2 after:2 southern:4 million:1 galaxies:1 surveys:1 free:2 standard:2 indices:1 reason:1 formation:4 imaging:1 members:7 estimate:8 interaction:2 created:8 could:5 shells:1 confident:1 british:1 feasible:1 motion:8 length:2 produce:3 massive:5 ism:2 unknown:1 hence:3 south:2 first:2 there:4 features:7 manuscript:2 clumped:1 number:2 approximate:1 channels:6 clear:1 another:3 pulsar:1 array:1 fluxes:1 open:2 angular:2 passes:1 rayet:1 temperature:7 their:13 introduction:1 leading:1 top:2 structured:1 least:3 name:1 indicate:6 oort:1 assumption:1 observations:6 tom:1 vla:1 white:5 structures:1 vgps:1 gives:6 shell:4 way:5 mostly:1 centered:3 rse:1 norma:30 exactly:1 always:1 part:3 too:1 somewhat:4 believe:3 representing:1 than:15 population:3 l43:1 observed:8 l41:1 observatory:2 unfortunately:1 bubble:33 require:1 older:1 second:1 aims:1 final:1 project:1 matter:1 determined:15 supposed:1 were:7 tion:1 toward:3 steep:1 enhancement:1 pre:1 ev:3 ages:1 locations:5 unlikely:1 seen:4 seem:3 apparently:1 any:10 relatively:2 wilson:3 scutum:42 claria:1 latter:1 apj:9 absorbed:4 green:4 modulus:1 channel:2 spectral:1 towards:7 ray:1 centre:17 probed:1 object:2 reach:2 cordes:9 most:8 plus:1 occurred:1 pair:1 cap:2 measured:2 synthesised:1 probable:1 volume:1 ejected:2 genzel:1 eisenhauer:3 calculated:4 adopt:1 drive:1 km:64 optical:4 electrons:1 velocity:79 latest:1 typically:2 precise:1 parkes:1 intensity:1 whitelock:2 absorbing:1 supported:1 infrared:1 purely:1 bright:12 radio:22 carefully:3 corner:2 find:5 impact:2 giant:1 based:9 just:2 spite:2 ngc:1 heavily:1 distributed:1 enough:1 enclose:1 peculiar:1 only:6 black:5 deepest:1 rich:1 factor:1 circle:4 local:8 columns:1 do:3 dl:1 muno:2 sagittarius:16 distance:71 obtain:1 beam:3 cannot:4 listed:2 words:1 international:1 report:1 hii:1 averaged:3 halo:1 combined:1 ssc:3 alexander:1 cold:1 resolve:1 bar:3 continuum:13 luminosity:1 arxiv:2 summary:1 reid:3 investigate:1 vacca:1 source:7 though:1 contain:4 through:6 discovery:1 gibson:1 view:1 caswell:1 reveals:3 bars:1 set:1 reference:1 supporting:1 national:3 identify:4 up:1 detection:2 see:11 individual:6 radius:10 result:7 operated:1 close:2 springer:1 arm:39 best:1 closer:1 detect:1 vertical:1 pattern:1 away:7 panels:3 griffith:1 colours:1 4th:1 outside:4 hipparcos:1 boosts:1 closed:2 between:11 orbiting:1 t6:2 reading:1 wide:2 available:2 comparable:2 wd:86 recently:1 relative:10 sections:1 confusion:3 supernova:10 weak:2 however:3 spectroscopic:1 nyman:1 wr:6 key:1 demonstrate:1 concentrated:1 received:1 galactocentric:3 last:3 resides:1 outflows:1 many:1 region:25 uncertainty:8 according:1 gaunt:1 agree:2 april:1 context:1 fender:1 l25:1 requests:1 argue:4 transpose:1 comes:2 nearby:8 reside:2 extent:2 cm:4 point:25 others:1 corresponds:2 coincidence:1 dimensional:1 represented:1 v2a:1 taylor:7 simply:2 path:2 table:11 cxo:1 unusual:1 described:4 kinematic:3 discriminant:1 west:3 three:7 been:3 mark:2 pc:13 much:4 interpret:1 pe:1 expected:2 ph:1 define:1 obtained:1 direction:12 describe:1 corresponding:1 deeper:2 both:5 formed:1 gas:11 westerlund:17 spectrum:2 g337:5 latitude:3 observe:2 determination:1 covers:2 careful:2 those:7 reddening:1 case:2 uncertain:2 look:2 unlike:1 originate:1 appearance:1 value:7 near:6 encircled:1 error:5 ultra:1 taking:1 procedure:1 real:1 barely:1 simons:1 almost:2 characteristics:2 ir:2 n2e:2 ii:26 cluster:10 ambient:1 claimed:1 helium:1 containing:1 macwilliams:2 putative:1 suggest:2 make:1 belong:1 same:2 clearly:1 parts:1 underestimate:1 established:1 negueruela:4 resulting:1 several:1 higher:6 development:1 independent:2 satellite:1 used:8 columbia:1 peaks:3 reddened:1 sys:1 moving:1 opportunity:1 recent:5 early:5 lower:3 scenario:1 largely:1 l149:1 random:1 calibration:4 well:7 analysis:5 edge:8 components:2 centres:1 position:5 model:10 arising:1 figs:1 left:4 distances:9 mclean:1 proposed:1 less:3 being:1 starting:1 rest:1 ekers:1 sources:5 intervals:1 distant:2 atomic:2 predicts:2 dnew:1 previous:1 emerging:2 unique:1 signal:2 conclusions:1 absorption:45 measure:2 seems:4 apjs:3 apr:1 add:1 pile:1 location:15 easy:2 east:3 plasma:2 remaining:1 brandner:5 associations:1 australia:1 around:9 lacking:1 alternatively:1 absence:1 possible:5 crux:42 wright:2 atca:1 using:9 accepted:1 correcting:2 prominent:2 loss:2 like:2 lost:1 should:5 reduces:1 velocities:11 haynes:3 translates:2 flux:7 mhz:8 either:1 obvious:1 resolved:1 hypergiants:3 reasonably:1 because:4 old:1 methods:1 sequence:5 successfully:1 back:1 choosing:1 streaming:1 added:1 gilmore:1 examples:1 sight:11 b3:13 proper:2 curious:1 bigger:1 scale:2 dense:3 merge:2 avoid:2 measurements:2 exceeding:1 vexp:2 magnitude:3 assuming:3 eso:1 steps:1 particular:2 noise:1 journal:1 each:4 aj:2 agreement:3 expansion:13 stellar:11 rux:1 occured:1 post:1 super:2 properties:2 earlier:1 stage:1 comparison:3 about:27 central:4 complexes:2 column:3 discussed:1 ob:5 o:1 distinct:4 range:3 wolf:1 dominion:2 emissivity:1 converging:1 em:3 equally:1 own:1 coverage:1 presence:1 previously:4 into:4 within:8 interstellar:2 negative:4 right:4 references:1 determine:7 burton:2 significantly:3 uncertainties:5 acknowledgements:1 additional:1 her:1 area:7 assumed:3 support:1 initial:2 spiral:32 hadfield:1 los:2 babler:1 low:5 stars:17 ed:1 astrophysics:3 translate:3 was:9 consists:1 function:2 ago:1 speculate:1 medium:2 north:3 triggered:2 basic:1 but:5 astro:1 taken:2 neutral:6 hi:3 solar:3 cram:1 mnras:4 line:12 removed:1 true:1 australian:1 amplify:1 directed:2 largest:1 consist:2 ut:1 inside:7 maximum:7 us:6 until:1 um:1 frequency:5 limit:3 embedded:2 dv:1 cgps:1 distribution:3 stages:1 similar:5 average:5 b1:17 ab:1 located:10 b2:18 ln:1 defined:2 abstract:1 myr:2 expands:1 deep:7 evidence:3 images:5 examine:2 entire:1 planets:1 quintuplet:1 compared:2 entirely:1 dotted:4 no:6 dashed:4 whereas:1 eastern:2 ne:2 field:1 other:12 ellipses:5 spatial:1 department:1 nice:1 optically:5 herzberg:1 star:6 models:2 bottom:2 precision:1 peak:7 additionally:4 included:1 astronomy:4 hemisphere:2 structure:1 offprint:1 younger:1 implies:2 assume:3 physics:2 age:11 interval:4 curve:13 orbit:1 together:2 brunthaler:3 depth:4 implied:1 mass:11 time:2 moreover:1 resolution:3 original:1 |
0704.3074.txt |@word concept:1 partial:1 consider:6 forbidden:1 global:10 yurtsever:2 leads:1 go:1 follow:1 amplified:1 causes:3 gr:2 violate:1 charge:1 does:3 manifolds:3 th:1 include:1 conjecture:1 lack:2 worse:1 very:3 bilinear:1 fall:1 condition:5 entire:1 did:1 list:1 solution:2 grandfather:6 try:1 small:1 enforce:1 proof:1 inconsistent:3 prevent:3 smaller:1 consistent:12 sin2:1 measurable:2 past:2 imply:1 machines:2 blue:3 what:1 incompatible:1 sum:1 current:2 experiment:2 goes:1 new:1 edited:1 justification:1 here:2 objects:1 tangent:1 separation:3 address:4 represented:1 along:1 invented:1 equations:3 change:1 knowledge:2 box:1 cyclical:1 ahead:1 institute:1 hartle:2 changed:1 allows:1 contradiction:4 resulting:2 ctc:13 usually:2 history:1 spacetime:3 sci:1 emerge:1 prints:3 apr:1 outcomes:1 contradictions:2 total:1 causal:5 use:1 would:6 commun:1 positive:1 predictions:1 svozil:1 therefore:3 type:1 achieving:1 today:2 more:6 flat:2 becomes:1 constructs:1 warp:1 separates:1 known:4 hold:1 iii:2 high:1 balls:8 birkh:1 middle:1 originally:1 theories:6 remain:1 values:1 hope:1 freedom:1 following:1 meet:1 arrive:1 my:3 example:4 numbers:1 cosmic:1 preserving:1 annals:1 pieces:5 states:2 collision:12 reviewing:1 want:1 unphysical:4 occur:2 guarantee:1 information:4 polchinski:2 provide:1 travel:13 holds:1 feature:1 regions:1 how:1 reject:2 instead:1 fr:1 mouths:3 may:14 reaction:1 containing:1 cease:1 minkowski:2 diagram:1 cambridge:1 plank:1 maybe:1 counter:4 summing:1 thorne:4 accelerated:1 maintain:1 negligible:1 fundamental:1 acausal:2 typical:1 restriction:1 breaking:2 indeed:1 over:2 novikov:2 stability:1 paper:1 through:1 during:2 existence:1 brittle:1 e2ψ:1 its:4 delay:1 tipler:2 energies:1 l73:1 relativity:11 vicinity:1 coordinates:1 actually:1 fig:2 renormalizable:3 eas:2 infinities:1 correspondence:4 them:1 material:1 collide:1 introduce:1 break:3 billiard:16 hamilton:1 effects:2 they:1 half:1 now:4 easily:1 invariants:1 university:1 kerr:1 morris:4 d49:1 radial:1 repeating:1 uninteresting:1 constraints:1 differential:1 england:1 generation:2 energy:1 hard:2 used:1 applicable:2 constitute:1 investigated:1 static:1 impossible:2 quantum:28 our:4 happen:2 avoided:2 special:1 out:1 large:2 shown:1 perry:1 space:13 restricted:1 since:3 rev:10 semi:1 research:1 particles:4 collisions:3 echeverria:1 correct:2 math:1 after:2 theory:8 causally:1 interactions:2 free:6 standard:3 reason:2 base:1 imagine:1 put:1 hep:1 hand:1 generate:1 gott:2 interaction:5 created:1 could:1 ds2:1 motion:1 unitarity:2 place:4 repeats:2 generalizations:6 first:5 romania:1 initial:10 features:1 probability:3 number:1 philosophical:2 another:2 traveler:1 ring:1 precisely:1 electronic:1 hyperbolic:4 introduction:1 system:3 construct:2 dt2:1 final:1 ashtekar:1 ceiling:1 trapped:2 visser:3 nobody:1 part:1 fuzzy:1 believe:1 than:3 approximation:1 showed:2 wormhole:16 travels:1 approximations:1 second:2 iap:1 matter:2 classes:1 validity:1 were:3 visited:1 exhibit:1 boston:1 argument:5 curves:5 already:1 unlikely:1 disturbing:1 close:1 curved:5 seem:1 any:5 acceleration:1 florin:1 strength:1 academic:1 self:15 able:2 gravity:1 mechanism:1 jacobson:2 polarization:1 potential:1 generalized:1 timelike:5 destroy:1 even:3 play:2 incompressible:1 electric:1 friedman:1 who:1 wells:1 falls:2 regular:2 mouth:2 preparations:1 nothing:3 kay:1 class:2 forever:1 consequences:4 considered:1 ensues:1 implications:1 drive:1 order:1 principle:7 physics:16 notion:1 fact:2 laws:6 ambiguities:1 selection:2 rotating:1 attempts:1 spaces:1 solutions:7 constituent:1 threshold:5 find:1 paradoxes:8 causality:2 just:3 histories:1 fluid:1 should:1 only:15 going:2 local:7 pointed:2 achieve:1 do:2 his:4 get:2 expectation:1 conceptual:1 cannot:5 altogether:1 cylinders:1 dr:1 gen:1 evolution:1 exhibiting:4 encounters:2 arxiv:3 shape:2 grav:1 investigate:2 experiments:1 wormholes:2 rejection:1 gravitational:1 view:1 national:1 observed:1 sen:2 gmail:1 lost:1 detect:1 nuclear:1 away:2 symmetric:2 halves:1 outside:1 future:9 closed:8 between:2 qbits:1 d51:1 d52:1 conditions:7 explosive:1 creating:1 nature:3 restricting:1 weak:1 however:2 piran:1 key:1 originates:1 suggested:1 both:1 tractable:1 region:9 equal:1 against:1 participating:1 roman:1 protection:2 symplectic:2 embedding:1 exceeds:1 argue:1 com:1 rama:2 wald:1 magurele:1 historians:1 point:5 corresponds:1 walk:1 incompatibilities:1 non:4 cv:1 collides:1 geometries:1 fewster:2 create:1 locally:1 due:2 been:1 odel:2 cauchy:1 edin:1 hawking:6 expected:1 ph:1 define:2 wants:1 obtained:1 direction:1 corresponding:2 qc:2 restrictions:1 wheeler:2 selfconsistency:1 coherent:1 generalization:1 demand:2 evidence:1 those:9 case:3 look:1 pacs:1 value:3 will:15 while:1 ill:1 unitary:1 wherever:1 metric:4 wkb:1 thus:3 surprisingly:1 encountered:2 ii:1 need:2 itself:3 different:1 make:1 same:7 clearly:1 selfconsistent:1 html:1 quant:1 arguments:1 several:1 ball:10 http:1 trajectories:1 multiplicity:1 auser:1 infinite:2 safe:1 center:2 older:1 changes:1 well:3 person:1 without:1 solve:2 www2:1 consistency:4 coordinate:2 usual:3 unified:5 wavefunction:1 manifold:5 proposed:3 obtain:4 violent:1 kill:1 transforms:1 spherically:1 tcd:1 macroscopic:1 yet:5 adding:1 enters:3 preprint:1 conclude:1 mathematically:1 valid:1 lett:2 momentum:3 take:1 real:1 increased:1 possible:4 birth:1 vacuum:1 press:1 world:4 unique:1 mod:1 loss:1 like:2 particle:2 follows:1 performing:1 manifest:1 discarded:1 imposes:1 arbitrary:2 become:1 reduced:2 bucharest:1 exceed:1 because:7 classical:8 loosely:1 creation:1 some:2 back:5 chronology:2 repeat:1 suppl:1 escape:1 newsletter:1 superposition:1 scale:3 ellis:1 lead:1 avoid:1 traversable:3 referential:1 machine:5 connecting:1 eliminate:2 propagating:1 proc:1 core:1 particular:1 performed:1 indestructible:1 each:2 departures:2 manufacturing:1 intense:1 earlier:2 usa:1 coexist:1 universe:1 o:1 compatible:1 radzikowski:1 range:2 trajectory:1 connected:1 skew:1 soc:1 own:1 presence:4 travelers:2 into:1 three:1 phase:3 appropriate:1 acad:1 einstein:1 elementary:2 geometrodynamics:1 mere:1 van:2 additional:1 undiscovered:2 transfer:3 there:11 start:1 anderson:2 much:1 way:5 conceivable:1 was:1 naturally:1 himself:1 complete:1 form:3 enough:1 but:6 somehow:1 repeated:1 contradictory:1 gain:2 line:1 true:3 made:2 alcubierre:2 intuitive:1 prevents:1 inside:1 us:3 theoretical:1 below:3 problem:5 piece:5 similar:1 mechanics:22 goldwirth:1 ab:1 computing:1 defined:6 abstract:1 grqc:1 am:1 brittleness:1 general:11 globally:1 loops:2 engineering:1 cure:1 exist:1 dθ:1 physical:3 again:2 functions:1 paradox:11 no:10 ctcs:5 when:6 handed:1 preventing:3 field:1 other:2 role:1 department:1 illusion:1 conclusion:2 picture:1 coherence:1 generates:1 separate:1 stachel:1 problems:3 stay:1 θdφ2:1 generated:2 allowing:1 structure:1 younger:3 implies:1 longer:2 assume:2 together:2 original:3 cohesion:1 equivalently:1 mass:6 time:37 far:2 requires:1 strings:1 |
0704.3075.txt |@word represent:1 urbana:1 transitions:1 consider:4 chain:1 magnetic:2 varying:1 desirable:2 results:3 projected:1 leads:1 entropy:25 computation:9 edu:2 sci:2 expressions:3 disk:1 row:1 whose:1 maximally:1 depend:3 referring:1 eigenbasis:1 graph:3 deterministic:8 containing:1 languages:17 finally:1 those:1 under:3 stochastic:5 forbidden:3 summarizes:1 random:3 transducers:2 far:2 pages:2 account:1 seemingly:1 choice:1 indication:1 updates:2 entries:2 uncertain:1 matrices:2 condition:1 illustrated:1 randomness:6 38th:1 hamiltonian:1 transmission:1 turns:2 notes:1 large:1 discrete:1 vector:8 science:3 eigenvalues:1 markov:3 inspection:1 noted:2 renormalized:1 consistent:1 stochastically:1 prediction:1 empirical:1 past:1 rate:9 further:1 dynamics:28 machines:4 linear:1 even:11 established:3 what:2 plays:1 morse:3 giving:1 sum:1 access:2 above:3 shared:1 method:1 contrast:2 outgoing:1 hµ:10 palis:1 never:1 component:5 equals:2 here:6 tracks:1 objects:1 subword:2 excess:8 active:1 path:1 along:5 observing:3 alicki:2 obtained:2 technical:1 shift:2 study:4 contradiction:1 amount:4 resulting:1 historical:1 suitable:1 genuinely:1 uniquely:1 golden:9 via:1 followed:2 projection:8 family:1 apr:1 vii:1 outcomes:2 establish:1 unit:1 derivatives:1 use:3 98a:1 takes:1 would:1 mathematik:1 probabilities:6 positive:1 negative:1 properties:3 classically:2 automata:19 hirsch:2 taken:2 means:3 type:9 theoretical:1 reflects:1 conse:1 introducing:1 outputs:1 operators:10 adjacency:3 curvature:1 berlin:1 normalized:2 particular:7 known:4 foundations:1 cases:1 iii:1 logarithm:1 topic:1 lowercase:1 word:14 language:16 recall:1 created:1 concepts:3 following:3 example:5 renormalization:1 synchronized:1 give:1 process:38 accept:1 states:5 synchronizes:1 acm:1 irreducible:5 spanning:1 lacks:1 occur:2 axis:7 information:21 winter:2 cse:2 s2:1 s1:4 s0:1 machine:5 how:5 champaign:1 instead:1 allowable:1 speaks:1 shu:1 simplicity:1 product:1 description:1 algebra:1 coined:1 after:1 derived:1 mapping:1 connects:1 applications:1 membership:1 cambridge:1 representations:2 data:2 short:1 attempt:1 dynamical:29 third:1 sets:2 whenever:2 light:1 explicit:1 correspond:2 st:11 rather:1 so:4 allow:2 sl:15 definitions:1 subsequently:2 order:1 figs:1 restriction:1 correlation:2 hierarchy:1 over:4 summarized:1 years:1 symbols:6 computational:3 through:2 differs:3 still:1 avenue:1 its:7 dynam:1 before:2 jacobs:1 interesting:1 temporal:1 kluwer:1 lect:1 pugh:1 systems:42 inspecting:1 annual:1 hidden:2 correspondence:1 them:1 return:1 reveal:1 regularities:1 coding:1 30th:1 evolution:4 reflected:1 mention:1 they:8 optimal:1 oxford:1 rotation:2 now:4 discuss:1 densities:1 easily:1 term:2 several:1 monatshefte:1 james:1 university:4 identified:2 orthonormal:1 academic:1 ji2:1 nisan:1 each:8 found:3 feldman:1 side:1 characterized:1 referred:1 square:2 directly:2 map:2 generation:1 subwords:1 related:1 measurement:20 quantum:96 beyond:1 eq:4 event:1 shannon:6 out:2 shown:7 matrix:7 space:5 quantify:1 since:6 rev:1 chaos:5 denotes:3 increase:1 print:2 surprise:1 receiving:1 ref:9 math:3 wiley:1 log2:2 theory:13 ucdavis:2 ambainis:1 given:8 standard:1 reason:1 base:2 california:1 york:1 stochasticity:1 generate:2 definition:1 interaction:1 thread:1 r3:1 rule:4 could:1 transition:5 turn:2 length:4 edges:2 pattern:1 1970s:1 davis:2 onto:1 first:3 probability:11 variables:3 symbolic:14 number:7 channels:1 another:2 ties:1 electronic:2 aharonov:1 illustrate:1 differ:1 exists:1 hyperbolic:1 introduction:3 system:15 construct:3 their:6 zeros:1 observations:1 scheme:1 bits:7 final:1 store:2 gives:3 continuous:1 albert:3 employ:1 hedlund:3 predictable:1 authors:2 believe:1 than:1 kind:1 determines:2 showed:3 habib:1 wiesner:2 structures:1 zero:4 submitted:2 lim:2 classes:1 transducer:1 amplitude:1 were:3 accessed:1 outcome:7 fig:8 sees:1 strengthen:1 measure:3 kitaev:1 formula:1 say:1 fannes:2 element:1 any:3 angle:2 depending:1 studying:1 latter:3 storage:5 ideas:1 note:2 emphasis:1 internal:12 new:1 subject:1 analogs:1 though:4 track:1 who:1 most:3 regular:4 significant:1 representation:3 pair:1 coin:1 measured:8 class:4 jx2:3 constructed:1 observation:5 neighborhoods:1 subextensive:1 dordrecht:1 calculated:3 adopt:1 cover:1 vertices:1 countable:1 graphs:1 part:1 verlag:3 mechanical:2 contradictory:1 finitary:1 quantifying:1 notion:3 fact:3 quantity:1 thomas:1 labels:1 attempts:1 spaces:1 relation:1 agrees:1 impact:1 current:1 considering:1 only:6 explicitly:1 generators:8 geodesics:1 do:1 dominant:1 watrous:2 quantph:1 admissible:4 familiar:1 criticized:1 joint:3 cannot:1 nearly:1 words:10 despite:1 compute:1 quantifies:1 closure:1 produced:3 processes:14 embedded:1 explore:1 arxiv:3 gutzwiller:1 twice:1 investigate:1 qi:2 including:1 weaver:1 qj:1 view:1 set:14 observer:2 physically:1 correlations:1 ullman:1 operates:1 observed:8 mentioned:1 see:2 computer:2 sec:1 us:1 terms:6 theoretic:6 yes:1 analog:2 techniques:1 closer:1 said:1 capacity:2 ways:1 ieee:1 review:1 complementary:1 label:1 state:42 determined:2 various:3 closed:7 between:7 consecutive:5 approach:1 shields:1 knowing:1 publishers:1 recently:3 jy:1 jz:1 nature:2 originated:1 comp:2 arises:1 emitted:1 however:3 ji:1 key:2 analyzed:3 amer:2 come:2 problem:1 both:5 finitedimensional:1 tractable:1 many:1 taking:2 uncertainty:1 equal:1 jz2:2 connection:3 manifestations:1 context:2 mean:9 expression:2 suggest:2 reasons:1 ca:1 address:3 corresponds:1 dimensional:4 represented:2 simply:2 applicability:1 sequences:15 respect:1 pr:14 described:3 commutative:1 basis:1 addition:1 markedly:1 recognizers:4 quickly:1 evenness:1 inadequate:1 inventiones:1 ph:2 pi:2 define:4 addison:1 graphical:1 describe:3 corresponding:3 optimally:1 observable:5 quantities:3 levels:1 nonregular:2 observe:1 input:1 denote:1 spin:19 manifolds:1 case:4 jx:1 engineering:1 value:3 heidelberg:1 will:7 while:1 behavior:3 determinism:5 situation:1 property:2 versus:1 unitary:7 chaotic:2 vi:2 refs:1 thus:3 iv:1 ii:2 grammars:1 alone:1 binary:1 different:6 develop:1 open:2 lengths:1 alphabet:1 same:6 bishop:1 answers:1 shifts:3 complex:1 quant:2 widely:1 units:2 finite:32 used:5 singapore:1 assignment:1 interscience:1 hand:1 average:3 compared:2 infinite:9 changing:1 automaton:1 shortly:1 center:1 possibly:1 variety:1 well:3 analysis:4 concrete:1 without:2 components:1 consistency:1 model:2 plotted:1 learning:1 stores:3 object:1 being:1 sofic:19 obtain:1 assigned:1 transforms:1 questions:1 immediately:1 alternative:1 rotates:1 yet:1 previous:3 oddness:1 jy2:3 generator:10 conclusions:1 similarities:1 recognizing:1 weiss:1 realize:1 source:2 setting:3 transformed:2 lett:1 role:3 transformation:1 real:2 around:2 depends:1 marcus:1 rules:1 possible:1 department:1 unseen:1 press:3 using:9 emergence:1 unique:1 string:1 formal:2 necessary:1 particle:7 semi:1 systematically:1 follows:1 future:1 sided:1 yields:4 integrals:1 always:1 output:6 stationary:1 reduced:2 therein:1 shed:1 right:1 methods:1 classical:11 sequence:8 affects:1 some:3 springer:4 examples:4 choosing:1 table:3 ourselves:1 recognition:1 nonzero:3 nondeterministic:1 quently:1 tools:2 measurements:3 per:1 conservative:1 behave:1 provides:1 ics:1 steps:1 chains:3 preceding:2 refer:1 informational:1 measures:4 power:1 processing:6 defines:2 wesley:1 step:3 reduces:1 hadamard:1 refers:1 hilbert:3 projector:1 about:1 extending:2 certainty:1 discussed:1 recognized:1 simulation:1 subshifts:2 remains:1 range:1 brings:1 mixed:1 introduced:7 crutchfield:4 block:5 mathematical:1 own:1 letters:2 computes:1 communication:1 into:3 indications:1 hopcroft:1 hermitian:1 references:1 been:2 determine:2 operator:5 next:4 unambiguous:1 span:1 intrinsic:1 strictly:3 there:2 question:3 specifically:1 why:1 start:1 appears:1 way:10 analyze:4 was:5 function:1 conference:1 form:6 governs:1 attempted:1 memory:4 but:3 construction:1 link:4 repeatedly:1 convergence:1 lind:1 directed:1 made:2 applying:1 consist:1 whether:2 flip:1 devices:1 ur:1 limit:4 iterated:1 distribution:7 similar:4 called:3 mechanics:1 moore:1 computing:1 defined:9 recognize:3 uij:3 generating:1 general:4 peres:3 single:2 senses:1 together:2 distributions:2 check:1 physical:2 again:1 mutual:1 codes:1 subshift:4 no:3 motwani:1 when:4 vanishes:1 illinois:1 field:2 other:7 coded:2 special:2 becomes:2 forge:2 theor:1 unobservable:1 conclusion:2 symposium:1 elements:2 generates:4 models:1 symbol:11 expressing:1 generated:5 important:2 accounts:1 variable:1 sides:1 structure:3 ago:1 implies:1 longer:3 calls:1 assume:1 physics:4 required:1 orbit:1 governed:1 time:9 reichl:1 starting:3 others:3 once:3 |
0704.3076.txt |@word partial:1 consider:5 rev:7 global:2 focus:3 quadrature:1 entropy:5 per:2 go:1 perturbations:2 contributions:2 compact:1 increase:4 depend:3 paris:3 graph:1 tr:5 experimentally:1 finally:2 critical:1 those:3 th:1 under:1 characterised:1 string:1 far:1 implicitly:1 assuming:1 keeping:1 induce:1 choice:3 electron:1 suggest:1 orientations:2 affect:5 difference:3 matrices:3 altering:1 ref:8 cmb:20 t0:1 forni:1 deals:1 science:1 indices:1 lines:2 programme:1 still:1 upper:1 small:4 smaller:5 hori:1 dealing:1 among:1 direct:2 zero:3 evaluated:1 pass:1 rigorous:1 further:3 estimated:1 xlss:1 λcdm:2 blue:14 index:1 what:1 sud:1 stands:1 rate:2 giving:1 colonel:1 section:9 expressed:3 swiss:1 wolfe:5 template:10 new:1 net:1 ever:1 method:1 aℓm:26 coefficient:1 multivariate:1 full:4 respectively:3 lss:2 residual:1 here:5 ranges:2 explore:3 free:1 address:4 directions:3 ratio:4 strong:4 respect:1 change:5 knowledge:1 tracers:1 search:2 dividing:1 study:9 larger:9 commonly:1 scatter:1 astrophysique:1 suggests:1 poisson:1 olivier:1 correct:2 hospitality:1 changes:11 diameter:3 showing:1 via:4 scales:9 apr:1 inducing:1 smax:3 realisations:1 names:1 org:1 apply:1 resolutions:1 univ:1 causal:11 manipulate:1 plot:2 use:9 figure:1 bevis:1 probabilities:1 contains:1 uncritical:1 charge:1 tightly:1 france:3 comparing:1 linear:3 therefore:5 averaging:1 taken:4 black:7 astr:1 theoretical:1 today:1 more:4 flat:6 formally:1 wmap1:1 clearly:2 conclusions:2 acceptable:1 hivon:1 curvature:1 tested:1 domination:1 discussed:6 varying:7 known:2 arago:1 cases:3 iii:5 must:1 logarithm:3 comoving:2 account:6 evolution:3 thanks:2 integrating:1 decay:1 equation:1 mk:2 rescattered:1 minimum:1 values:10 era:2 wandelt:1 following:4 ernest:1 modifies:1 example:2 numbers:1 compare:1 cosmological:14 give:1 predict:2 isw:24 generically:1 high:1 assumptions:1 reviewing:1 allowed:4 magenta:1 absolute:1 information:26 needs:4 end:1 hoc:1 marginalising:2 rather:2 acts:1 algorithms:3 makes:1 how:10 methodology:1 behave:1 influences:1 kamionkowski:1 optimal:1 parameter:7 priori:2 play:1 map:12 fr:3 rise:1 description:1 influenced:1 our:13 roukema:1 derived:3 long:1 applications:1 wrong:1 starobinsky:1 waves:3 truly:1 data:4 central:2 preferential:1 ss:2 turok:1 snls:3 cosmology:4 fictitious:1 so:9 fundamental:16 correlation:9 halos:1 looking:1 order:2 restricted:1 interpretation:3 help:1 developed:1 over:9 move:2 vary:3 expects:1 zel:1 thomson:1 stability:1 paper:4 through:5 looks:1 statistical:2 cuts:1 satisfies:1 suffer:1 avenue:1 its:7 before:1 thank:1 kofman:1 maps:7 ln:3 interesting:1 fix:2 tori:2 vicinity:1 decreases:2 writing:1 late:2 detected:3 primordial:3 harmonics:1 derivative:1 reionisation:15 main:3 h0:8 maximal:2 eventually:1 non:12 affected:1 pure:1 integral:1 processes:2 investigated:1 scaling:1 effects:10 they:7 half:1 discuss:2 bigger:1 matched:2 easily:1 february:1 several:4 equality:1 university:1 sugiyama:1 realistic:2 2f:1 inequality:1 psud:1 toroidal:1 each:1 found:3 universit:2 higher:4 traces:1 safely:1 constraints:3 domain:20 schemes:1 financial:1 significantly:4 due:7 there:2 energy:4 gaussian:4 related:1 eve:1 astrophysical:1 expect:3 measure:3 substantially:1 organised:1 damped:1 eq:3 ruth:1 special:3 out:1 large:7 shown:1 dominates:1 matrix:10 quantify:2 rep:2 since:3 induces:1 explicitely:1 content:20 may:4 cesr:2 dominated:3 disappear:1 denoted:1 adaptive:1 induced:3 rh:1 integrated:4 red:14 shows:11 ass:1 foreground:1 numerical:2 theory:3 interactions:1 divergence:6 diagonal:3 possibility:1 standard:2 cℓ:5 reason:1 base:1 bayes:1 ori:1 put:1 region:1 estimate:1 likelihood:11 generate:1 log:9 hubble:6 kunz:3 could:1 cosmic:3 times:1 filter:1 turn:2 isotropic:1 assumed:1 hence:1 uses:3 approaching:1 first:1 already:3 toulouse:1 probability:11 variables:3 coding:2 primary:1 throughout:1 clear:1 done:2 defects:9 directly:3 frequently:1 impossible:1 precisely:1 electronic:4 size:26 given:10 boulevard:1 checked:1 temperature:7 similarly:1 introduction:2 leading:3 top:9 least:3 gpc:3 roche:1 their:9 detectable:1 observations:1 variations:1 structures:1 iap:1 ias:3 gives:3 testing:3 fraction:1 geneva:2 lachi:1 baryon:2 relative:10 continuous:1 required:1 part:1 quai:1 somewhat:3 authors:1 wasted:1 than:7 coefficients:2 peaked:1 observed:4 kind:1 unfortunately:2 sections:1 regularised:1 depends:5 matter:5 future:1 amplitude:2 were:1 contribution:4 lowest:1 fig:19 false:1 fluctuation:1 turned:1 spectrum:7 winding:1 enforces:1 close:1 need:1 seen:2 cumbersome:1 null:1 saw:1 any:3 lie:1 strength:1 mostly:2 able:1 efficient:1 studying:1 latter:2 physique:1 zon:1 onset:1 mix:1 potential:9 take:4 observationally:1 spergel:3 green:4 wmap:1 primarily:1 circles:2 even:4 cnrs:2 towards:2 ds2:1 probed:1 measures:1 bss:8 most:4 errors:1 significant:1 suppression:1 marie:1 measured:4 class:2 probes:1 volume:2 acknowledges:1 especially:1 considered:2 soviet:1 torus:3 behaviour:4 km:2 kl:6 curie:1 optical:3 sciama:2 exp:2 constrain:1 latest:1 physics:2 fact:1 quantity:4 follow:1 show:9 random:5 notations:1 purely:3 astrophys:4 orski:1 trivial:10 find:11 impact:2 colours:1 highest:1 based:6 just:1 parameters:21 ℓmax:4 distributed:2 negligible:4 topological:16 should:4 only:12 corresponds:4 subsection:1 factor:4 integrate:1 aghanim:3 hope:2 do:5 above:3 notation:1 means:4 mainly:1 de:4 expectation:2 preferred:1 da:1 subdominant:1 define:1 cannot:1 nearly:3 dx:1 invariant:2 applying:1 dt:1 du:1 gen:1 bˆ:1 arxiv:1 shape:1 remove:1 acknowledgments:1 rotationally:2 twice:1 investigate:3 dovich:1 whitening:1 contrast:3 switzerland:1 fixed:7 view:2 intervening:1 set:2 harrison:1 generally:1 sensitivity:2 correlations:4 maximum:3 detection:13 see:6 radius:4 result:3 discussions:1 recently:1 uncorrelated:1 closer:1 detect:11 tensor:4 review:1 panels:1 inoue:1 symmetric:1 written:1 correctly:1 between:7 affecting:1 drawn:2 subscript:1 across:1 x4:1 choose:1 terms:1 ability:4 nature:1 importance:1 healpix:2 however:2 equals:1 hypothesis:1 key:2 distinguish:1 ansermet:1 suppressed:1 alters:2 topology:27 motivations:1 both:11 essentially:1 kr:1 prescription:1 repeating:1 limits:5 many:2 taking:2 barely:2 according:1 against:5 called:1 chosen:1 leibler:1 figures:1 dated:1 context:1 variance:3 dkl:4 expression:1 temporal:1 comes:1 strongly:2 relevant:8 very:8 point:3 others:2 cf:2 ηlss:1 dimensional:1 na:1 exploit:1 coordinates:1 cs:5 table:6 actually:2 described:4 decoupling:1 addition:1 three:4 been:1 pixels:1 describes:2 basic:1 expected:1 crittenden:1 ph:7 improve:2 dk:1 systems:1 determinant:1 corresponding:2 observable:1 quantities:1 thousand:1 photon:1 precision:1 understand:2 epartement:1 angles:1 astron:2 bayesian:7 last:4 intervenes:1 general:1 geodesics:1 present:3 case:9 exception:1 pacs:1 solid:13 reliable:1 value:9 easier:4 will:13 while:11 fiducial:15 investigating:1 leaves:2 procedure:2 computed:1 studied:1 orientation:5 spacelike:1 coupled:1 marginalise:1 refs:2 thus:1 them:4 surface:2 iv:1 ii:3 middle:5 luminet:2 motivated:1 ie:1 mpc:2 different:5 constrained:1 propagation:1 perform:1 things:1 make:1 radiation:1 same:9 jℓ:2 another:1 potentially:3 arguments:1 gibbs:1 largest:3 units:5 finite:3 grows:1 durrer:1 difficult:4 templates:2 used:3 http:1 peaks:1 cubic:4 measurement:1 riazuelo:5 effect:30 hand:1 moving:1 purpose:1 infinite:15 changing:1 multipoles:1 lower:6 suffices:1 off:6 modes:4 studies:3 polarisation:1 well:9 roughly:5 analysis:6 without:2 rey:1 simulated:4 coordinate:1 model:24 arising:1 left:2 spherical:3 next:2 proposed:1 less:4 downwards:3 acknowledge:2 imprint:1 bandwidth:1 ch:2 epoch:1 questions:1 using:2 ωm:4 reality:1 scattering:5 alignment:1 previous:2 cut:1 hermeticity:1 density:8 photons:3 conclude:3 sky:3 except:1 mathematically:1 source:1 interested:1 combine:1 lett:3 easy:1 theorem:1 5c:1 styles:2 cornish:2 tests:1 increased:1 breaks:1 spatial:2 results:5 possible:5 harmonic:1 dark:3 eorique:1 know:1 background:2 world:2 bis:1 generated:1 massless:1 necessary:2 like:4 particle:10 sizes:1 eze:1 follows:1 signal:14 isotropy:1 specific:1 detections:3 integrals:1 martin:1 become:1 alignments:1 reduced:2 imprints:1 making:1 therein:1 www:1 because:1 methods:3 namely:2 some:1 pierre:1 added:1 pφ:2 examples:1 statistic:2 universes:4 matching:1 anisotropies:7 scale:8 describing:1 dimensions:1 lead:1 wmap3:4 affects:1 measurements:2 integration:3 microwave:1 whole:1 2a0:2 does:2 eliminate:1 provides:1 tends:1 eso:1 transmitted:1 bessel:1 measuring:2 noise:4 2b:1 power:9 equivalent:1 grav:1 expansion:2 step:1 reduces:1 ratios:1 acoustic:1 analyses:2 normalisation:1 properties:1 panel:19 comparison:1 about:2 actual:1 universe:39 certainty:1 introduces:1 dependence:4 o:1 topologically:1 compatible:1 stretch:1 range:2 important:6 horizon:17 mean:3 firstly:1 presence:4 h2:4 into:5 within:3 rotations:1 cosmologie:1 nsf:1 sachs:5 variable:2 right:2 references:1 whiten:1 determine:1 estimators:4 quickly:1 orsay:1 often:3 clustering:1 uncertainties:1 statistics:1 institut:1 additional:3 conceivably:1 topologies:7 support:2 initial:1 question:1 specifically:1 start:1 much:6 low:2 way:1 unige:1 was:3 a20:1 opposed:1 function:8 rees:2 complete:1 form:1 signs:1 h02:1 but:7 searching:1 astro:7 cedex:2 magnitude:1 encoded:1 line:39 trying:1 true:1 partially:1 compute:8 jaffe:2 whether:1 levin:1 gravitational:8 ωr:5 detectability:4 up:2 us:1 below:2 growth:2 limit:5 emissions:1 fluctuations:3 distribution:6 ωb:3 similar:1 agree:2 polarised:1 distance:4 detailed:1 cyan:1 ab:1 constant:5 ad:1 defined:2 certain:1 specified:1 influence:5 evidence:12 quantum:1 single:1 simulations:1 dη:1 cresswell:1 distributions:4 metric:1 physical:4 again:1 compared:3 discriminate:1 dotted:10 no:4 dashed:16 when:7 detail:1 ourselves:2 σb2:1 field:1 other:10 role:1 details:1 becomes:3 test:2 electrons:1 ns:15 umr7095:1 kullback:1 deviation:1 happens:1 elements:1 connect:1 yℓm:1 models:4 remains:1 time:4 problems:1 variation:4 covariance:4 a0:1 chance:1 a2:1 additionally:1 included:1 structure:2 fundamentally:1 national:1 correlated:4 regime:2 longer:1 algorithm:1 assume:1 sigma:1 bottom:4 depth:3 dot:1 searched:1 requires:1 having:1 normalized:2 |
0704.3077.txt |@word limited:3 now:1 footing:1 martínez:2 secondly:2 issued:1 keep:1 global:4 dynamic:1 splitting:2 four:3 rapid:1 thoughtful:1 code:1 bit:1 per:3 parameterization:1 types:2 lacy:1 disk:5 contributions:3 parameterise:2 haarsma:2 gonzález:1 increase:1 depend:1 calculate:2 transferred:2 comptonthick:1 young:2 unanswered:1 human:1 environment:3 common:2 must:8 does:1 those:3 determinations:2 dickinson:4 unobscured:2 overproduce:2 lilly:4 dramatically:5 necessary:1 starbursts:1 1010m:5 brown:3 luminosities:5 mpc:4 advantage:1 evolves:1 very:3 connects:1 results:11 suggesting:1 ultraviolet:2 figs:2 stays:1 affect:2 difference:2 supermassive:1 transformation:3 leads:1 kleinheinrich:2 impressive:1 level:2 positions:1 12µm:1 weinberg:1 applicable:2 occurs:2 large:9 l17:1 l135:1 small:4 added:3 programme:1 oliveira:1 upper:2 work:4 compensated:1 10m:1 consistent:8 liang:1 estimates:4 direct:1 literature:1 empirical:2 past:1 go:1 rate:13 perception:1 pasp:1 chen:3 further:3 estimated:8 cimatti:2 returned:1 blue:101 synthesis:1 what:3 errors:3 appear:1 giving:1 roussel:2 section:2 current:2 misselt:1 version:2 template:7 rieke:2 new:3 increasing:3 s11:1 filled:3 helou:3 evolving:2 full:3 led:1 l65:1 whose:1 galaxies:171 compilation:1 l1:3 nonexistent:1 understanding:1 growing:1 explore:8 flores:5 china:1 excess:2 represented:1 re:1 along:1 strong:4 appears:1 interpret:2 benson:1 passbands:1 borgne:2 institute:1 shift:1 leaves:1 larger:2 allows:1 typically:1 contradiction:1 amount:8 dependencies:1 survey:6 cessation:1 california:1 adopting:2 narrow:1 studies:1 pixel:2 examining:1 via:2 useful:1 although:1 figure:1 extra:3 apr:1 photometric:5 nanjing:1 tracking:1 referee:1 addressed:1 decrease:3 apply:1 attach:1 total:24 establish:1 planck:1 cloud:44 elbaz:8 use:4 khan:1 proceed:1 consumption:1 may:4 brinchmann:2 lying:1 faint:9 predictions:1 tabulated:1 few:3 live:1 noting:2 come:1 therefore:1 bender:3 characteristics:1 taken:1 scope:1 doubling:1 type:5 until:1 reflects:1 more:10 pparc:1 denys:1 asterisks:4 populations:7 initial:2 under:4 corrected:1 emission:9 validity:1 uppermost:2 needed:1 carrying:1 apjs:5 particular:2 vmax:1 cases:2 potential:1 bimodal:1 dex:8 sample:3 account:2 excellent:1 locked:1 extension:1 weighting:1 cas:1 overproduces:2 averaged:2 attention:1 astronomisches:1 worth:1 reproduce:1 remain:2 2003c:2 obvious:2 mr:4 following:5 appleton:2 scatter:2 overproduced:3 history:2 point:3 beijing:1 references:1 transition:3 program:2 tar:1 scan:1 calculation:1 december:1 choice:2 sense:2 daddi:4 increasingly:1 high:2 steidel:3 assumptions:3 performed:2 magnitudes:1 tal:1 specific:13 standard:1 times:4 absolute:1 information:1 respective:1 counting:1 end:10 goal:2 discontinuity:2 provide:1 comparing:1 discussion:5 european:1 patton:1 off:3 chabrier:7 how:2 methodology:3 rudnick:4 significance:2 noether:1 instead:6 widespread:1 gordon:4 community:1 map:1 fr:3 morphological:1 description:3 spitzer:8 inherent:2 fluxes:6 max:1 earlier:3 derived:13 hong:1 convincingly:1 24µm:26 corrections:1 fb:1 produce:1 unspecified:1 mag:3 insufficient:1 date:1 rows:1 horizontal:2 law:3 data:21 grow:1 lar:1 borch:16 forschungsgemeinschaft:1 attempt:3 dynamical:1 effective:1 elmegreen:2 light:6 spectra:2 lines:11 deutsche:1 cosmology:1 rather:2 negligible:1 frequent:1 allow:1 correlation:1 every:1 lν:1 order:9 bins:6 typical:4 pannella:1 devriendt:3 1011m:1 poor:2 subtracting:1 developed:1 over:6 insight:3 restframe:2 undetected:1 a901:7 produced:1 richards:1 thermal:3 paper:13 through:7 unusually:1 argued:3 cole:3 avenue:1 its:4 galaxy:38 before:1 observational:2 horizontally:1 style:1 le:15 rapidly:3 starting:1 fit:13 imf:11 chosen:1 interesting:4 masses:26 accompanying:1 expectations:2 decreases:1 forms:2 detected:2 compelling:1 fig:18 main:1 might:2 h0:2 meisenheimer:2 underestimate:1 hopp:2 non:5 usa:1 motivated:2 combination:2 spectacularly:1 processes:4 dat:1 malek:1 ρsfr:1 related:1 they:1 half:3 oxford:2 exploration:1 yr:6 day:10 structural:1 february:1 vigroux:1 indeed:2 l37:1 fully:1 university:2 classified:1 advent:1 f24:1 applied:2 brodwin:1 bursts:1 chandra:1 mode:1 reasonable:2 fields:10 crossing:1 found:5 photometry:2 characterized:1 constraints:1 individually:2 bright:1 differential:1 telescope:2 weight:1 independent:1 energy:2 silva:2 used:5 challenges:1 balanced:1 owing:3 expect:5 ourselves:1 measure:1 relates:1 happen:1 beyond:2 shortwards:1 special:1 out:4 emerges:1 shown:18 clarity:2 missed:1 join:1 space:3 quantify:1 3rh:1 since:11 overproduction:1 content:2 include:1 investigation:2 dominated:4 hill:1 denoted:2 newly:1 issue:2 integrated:7 red:83 shows:5 arizona:1 linear:2 offsets:2 southern:1 confidence:2 mechanisms:2 bldg:1 bundy:3 contrast:1 sbc:1 necessarily:1 formation:67 willmer:3 ask:1 intermediate:1 estimate:10 weed:1 universally:2 l131:1 definition:1 hubble:2 ate:1 jet:1 created:1 starts:2 could:2 inferred:1 cosmic:12 modest:2 steward:1 aging:1 explored:1 place:2 massive:20 ism:1 transfer:3 kroupa:6 propulsion:1 undergo:1 onto:2 unchanging:1 south:1 first:7 feed:3 major:1 already:3 features:1 striking:1 carrasco:1 number:10 fits:1 spinoglio:2 approximately:5 directly:1 frequently:2 carry:1 impossible:2 thick:1 für:1 open:1 appealed:1 dole:2 take:1 given:15 ian:1 herrero:2 temperature:1 likely:4 paint:1 introduction:1 test:1 top:3 least:3 intense:2 their:18 extrapolations:1 assumption:2 rates:8 observations:4 statement:1 feulner:2 wilkinson:1 1m:1 final:1 gives:4 labels:1 volmerange:3 shell:3 fraction:15 relationship:1 ratio:1 wavelength:1 favorably:1 tool:1 accurately:1 prediction:1 5µm:1 environmental:1 optical:5 bower:1 gyr:6 somewhat:1 natural:1 1000µm:3 dt:2 than:13 population:12 wide:1 kind:1 observatory:2 determines:1 charlot:1 showed:1 log10:4 require:1 bootstrapping:1 second:3 submitted:3 limiting:5 fruchter:1 determined:8 historical:1 were:27 tion:1 exposures:1 gase:1 minus:1 attached:1 mpia:1 addressing:1 fashion:2 takes:1 modeldependent:1 largely:1 quench:1 correction:3 ages:6 argument:1 maraston:2 crudeness:1 substantial:2 headings:1 apparent:1 qualitatively:2 disjoint:1 seen:3 aged:1 clearly:2 contents:1 relatively:4 mountain:1 conversion:2 attributable:1 iso:1 built:1 resembles:1 astronomie:1 lin:1 davies:4 mechanism:3 note:2 alonso:2 fitting:3 internal:1 willott:1 build:4 lir:3 predicted:10 finding:3 so:2 unconstrained:1 techniques:1 contursi:1 accuracy:3 circles:4 spectral:5 towards:1 silbermann:1 track:1 balogh:1 sfr:51 systems:1 giavalisco:2 most:6 germany:2 plan:1 significant:10 laboratory:1 knee:1 juneau:2 magnitude:1 latex:1 constructed:1 15µm:1 diversity:1 expects:2 average:15 adopt:6 drive:1 km:2 typeset:1 takeuchi:2 formatted:1 accounted:2 artificially:1 subsequent:1 floc:10 bamford:1 physics:1 fitted:1 joining:2 slope:6 thomas:7 particularly:3 apj:47 deep2:1 show:7 glazebrook:1 detection:2 random:2 merit:1 infrared:2 colors:6 relation:1 argues:1 rough:2 heavens:1 next:1 find:1 decade:1 make:1 exercise:3 slow:1 based:1 parameters:1 notice:1 ournal:2 sloan:1 ox1:1 supported:3 should:2 jannuzi:1 brighter:1 only:5 abell:1 black:3 surveyed:1 combo:22 integrate:1 he:2 local:8 do:2 predict:1 his:1 above:9 stay:5 distance:1 dependent:2 calibration:5 de:5 overall:11 expectation:1 yielded:2 simplistic:1 shutting:1 salvato:1 rocca:3 passband:2 allowed:2 report:1 dye:2 respectively:6 conjunction:3 nearly:1 areas:1 gray:5 evolution:38 densities:3 schiminovich:1 sources:10 luminosity:17 predicts:1 arxiv:1 theme:1 hole:1 method:1 blanton:5 marleau:1 source:2 ensure:1 contain:4 fainter:1 probed:1 mcintosh:1 view:1 2007a:3 bars:1 set:2 constructing:1 reference:1 welldefined:2 frame:7 gilmore:1 rechen:1 hδ:1 grey:4 observed:21 ara:1 see:18 individual:2 radius:1 result:4 enhanced:1 madau:2 luminous:2 hammer:7 best:3 subject:1 recillas:1 herschel:1 suffer:1 formers:1 luv:1 extragalactic:1 fontana:3 fwhm:1 currently:1 below:4 xray:1 enough:1 various:1 closed:1 between:18 crude:2 progress:1 geometric:1 tresse:1 approach:4 multiplied:1 ends:1 incarnation:1 recently:1 reproduced:1 vertical:1 corresponding:2 initially:1 weak:1 emitted:1 points:5 however:2 remaining:1 spectroscopic:1 2003b:2 reproduces:1 derive:1 hypothesis:4 jr:1 key:2 contamination:1 shapes:1 suppressed:4 overestimated:1 declining:1 l133:1 faced:1 both:9 essentially:1 2003a:2 last:1 limits:2 clayton:1 many:2 salpeter:2 uncertainty:4 equal:1 contract:3 etc:2 merging:2 objects:3 tout:1 context:1 70µm:1 rigby:1 variance:1 contribution:4 drory:3 adapted:2 undergoing:1 comes:2 malkan:1 strongly:4 presumably:1 extent:2 reprocessed:1 bell:32 simple:7 had:1 others:1 way:2 corresponds:1 environments:2 2nd:1 l29:1 koo:1 simply:1 fèvre:3 middle:2 table:2 allocated:1 improvement:1 ct:1 considering:1 marcillac:1 finally:1 described:1 µjy:1 basis:5 west:1 create:1 three:3 been:6 rawlings:1 katz:1 yan:2 25t:1 combined:6 interest:5 basic:3 expected:1 cdfs:7 ph:4 pi:1 observers:1 choose:3 box:1 myr:2 general:1 ferguson:2 hprn:1 kovacs:1 suppress:1 sufficient:5 formed:12 gas:3 sky:1 bulk:11 understand:2 systematic:7 sfrs:12 surveys:3 despite:1 present:13 reddening:1 case:4 explicitly:1 traced:1 stacked:1 splits:1 balmer:1 solid:12 strophysical:2 budget:2 value:3 choices:2 will:12 birthrate:1 while:10 ongoing:1 behavior:3 error:2 balance:1 study:1 procedure:1 stacking:2 identical:1 ecdfs:1 rix:3 unction:1 illustrated:1 ir:28 thus:5 surprisingly:1 discrepancy:1 comoving:1 cluster:1 incompleteness:2 properties:3 schechter:6 limit:9 activity:1 technology:1 ric:1 ig:5 different:6 granato:2 proto:1 perform:1 suggest:1 rband:1 cross:4 same:1 fading:2 shifts:1 epoch:3 split:5 several:1 manifestly:1 grows:1 evidence:1 higher:4 templates:3 evolve:2 extended:1 slightly:1 mendes:1 effect:2 counterparts:1 hand:2 driven:1 compared:3 dust:8 mips:3 bosma:1 mosaic:2 recent:3 160µm:1 lower:10 estimation:3 sed:1 scenario:1 older:3 maiolino:2 no:5 well:6 roughly:3 analysis:15 double:3 without:2 sadat:1 consistency:2 firstly:2 position:1 model:5 dark:1 longwards:1 kauffmann:6 left:1 fades:1 construct:2 just:1 less:5 being:3 percent:1 accurate:1 obtain:1 rest:5 assigned:4 subsamples:1 shape:2 underlying:2 questions:2 partridge:1 yet:8 functionally:1 previous:2 adding:1 cut:5 preprint:1 ell:1 density:9 cherry:1 workers:1 slices:1 guaranteed:1 except:1 fioc:3 color:5 other:4 combine:1 samples:1 compares:1 occurring:1 heidelberg:2 match:2 gave:1 bin:8 recycling:2 around:4 phenomenology:2 observationally:1 psf:1 possible:4 early:5 strateva:2 cruz:1 whatever:1 similarly:1 press:3 using:24 part:4 advanced:1 formal:2 generated:1 loss:3 δz:1 like:1 follows:4 qualitative:1 faber:3 accompanied:1 separately:3 flux:7 keble:1 cooper:2 2007b:2 either:2 january:1 become:3 works:1 emmy:1 reasonably:4 adelberger:1 lends:1 chary:3 shed:1 disks:3 old:3 change:6 sequence:55 clustered:3 arrows:1 pettini:1 magnificent:1 library:2 calculated:6 growth:31 cucciati:2 redshifts:8 images:1 little:2 crudely:1 matching:1 rapidity:1 scales:3 provided:1 gabasch:1 scale:8 ellis:2 lead:3 bottom:2 purple:1 broad:2 avoid:1 measurements:6 overlap:1 l13:1 arguing:1 critical:1 unit:3 conclusions:2 assuming:7 whereas:1 unstable:1 numbers:2 demonstrated:2 process:2 forces:1 jarvis:1 power:3 slight:3 prominent:1 equivalent:2 each:12 aj:2 agreement:1 stel:1 constructive:1 stellar:122 host:1 ratios:2 offset:1 similarity:1 analyses:4 obscured:4 emulateapj:1 permitted:2 panel:7 gained:1 comparison:2 about:2 census:1 central:1 would:8 calibrations:2 constraint:1 column:1 universe:9 powered:1 discussed:4 dependence:4 o:3 reduced:2 melbourne:3 panter:2 range:2 wolf:8 steadily:2 own:1 bolometric:1 l9:1 denote:5 distortion:1 road:2 truncating:1 cesarsky:1 equally:2 sansigre:2 letters:1 redshift:33 previously:1 windhorst:1 into:11 within:7 integral:5 budavari:1 transformations:1 down:1 thankful:1 appropriate:2 because:2 accounts:2 witt:1 primarily:2 frames:1 factor:5 imfs:1 significantly:2 uncertainties:16 robust:2 statistics:2 institut:2 shells:1 assumed:3 astrometric:1 there:8 approximate:1 custom:1 overestimate:1 start:1 much:5 low:7 stars:11 labelling:1 pelat:1 buat:2 slopes:1 translate:1 was:8 assumes:4 donley:2 function:58 tight:1 crampton:2 medium:1 north:1 complete:2 form:5 equatorial:1 forming:8 brand:3 differences:1 depending:2 but:2 astro:4 repeated:1 construction:3 goals:1 solar:1 mnras:14 line:17 highest:1 considerable:1 truncation:6 volume:2 rush:1 made:2 papovich:9 joint:2 croton:1 uv:12 variations:1 up:9 quantitatively:1 fadda:1 tucson:1 converted:1 ωm:1 today:1 uk:1 zhi:1 demonstrate:2 distribution:4 panels:10 similar:5 clear:8 schecter:1 detailed:2 sauvage:1 required:3 constant:6 intercept:1 abundance:1 defined:5 certain:1 abstract:1 describe:1 pérez:1 deep:7 hopkins:4 pix:1 ap:1 presented:6 gemini:1 ingredients:1 kennicutt:2 our:14 some:11 accounting:2 mistaken:1 az:1 distributions:1 physical:4 redder:2 again:3 functions:33 oversimplification:1 completeness:1 ideally:1 dotted:6 variety:1 dashed:5 image:3 when:3 detail:1 burgarella:2 field:8 setting:1 jong:3 details:2 parameterizations:1 department:1 guiderdoni:1 digital:1 borne:1 franceschini:2 wishing:1 baldry:2 dale:2 picture:6 briefly:1 zheng:10 star:77 truncate:1 separate:1 mismatch:1 15z:1 june:1 nichol:1 eisenhardt:1 includes:1 fellowship:2 metallicity:2 important:1 flattened:1 allowing:3 suppression:5 included:2 dense:2 astronomy:1 diamonds:4 exposure:1 building:1 agn:7 younger:1 driving:1 assume:1 values:3 age:5 interval:6 quite:1 dey:1 depth:1 nasa:2 mass:144 incomplete:1 time:11 renzini:2 dm:2 vvds:1 mosaics:1 original:1 simpson:1 once:1 |
0704.3078.txt |@word secondly:1 code:1 limited:3 caused:2 astron:1 results:9 existing:1 four:2 allgood:3 broader:4 follow:3 disk:1 causes:1 viceversa:1 disappear:1 increase:6 careful:1 technique:2 opportunities:1 finally:1 does:7 those:1 asterisks:1 ti:1 must:1 contopoulos:3 amplitudes:1 mpc:3 straightforward:1 very:7 frequencies:15 deflections:4 connects:1 unchen:2 unizh:1 every:4 fall:1 affect:1 emphasized:1 difference:1 exact:1 fourth:1 rvir:1 obvious:5 presented:2 did:1 positions:1 leveled:1 radii:2 integrated:1 large:1 discrete:1 small:2 provided:2 probably:3 inspection:1 added:1 configurations:2 smaller:5 force:1 version:1 imaginary:1 trend:1 consistent:1 measurable:1 understanding:1 approximation:2 surrounding:2 zero:1 timescales:1 settled:1 realistic:1 further:1 dynamics:8 λcdm:2 even:1 will:6 what:5 nonlinear:1 hernquist:2 appear:2 complexities:2 section:6 axes:12 access:1 experiment:3 localized:4 above:1 new:6 increasing:2 method:2 body:3 evolving:3 dwarf:1 degree:2 relates:1 respectively:1 never:1 component:8 here:1 analysed:1 behaviour:3 following:3 explore:4 flores:1 sink:1 address:1 decipher:2 strong:5 change:2 obtained:1 institute:2 shift:2 study:3 studied:2 step:2 contradiction:1 interconnected:1 suggests:4 sternwarte:1 usually:2 fourier:5 makes:5 examining:1 formulated:1 followed:3 although:6 figure:11 extra:1 apr:1 triaxial:9 explained:1 highly:2 conditions:1 4kpc:12 remnant:1 numerics:1 total:3 establish:1 planck:1 use:1 takes:2 would:2 contains:1 visit:5 intense:1 scenarios:1 comparing:1 live:2 opposed:1 inner:5 theoretical:1 more:12 fractions:1 flat:1 initial:4 distribution:10 tested:1 visual:2 located:2 far:1 cases:5 adequate:1 hints:1 evolves:2 keeping:2 k04:3 mb:2 inertial:2 mn:1 insists:1 doug:1 remain:1 values:1 den:1 freedom:2 growing:10 making:2 root:1 example:1 numbers:1 compare:1 weaker:1 challenging:1 stream:1 stated:1 process:3 sense:2 organized:1 purposes:1 weinberg:1 sample:5 his:1 performed:9 timedependence:1 allowed:1 unphysical:2 specific:1 tan:2 occur:1 zeldovich:1 needs:2 end:2 provide:2 discussion:2 get:2 berlin:1 regions:3 how:13 numerous:1 low:1 influences:1 elliptical:1 answer:1 instead:2 axis:4 parameter:2 profile:2 grown:1 astroph:1 morphological:2 merritt:4 description:1 singular:1 may:7 max:1 after:2 blocks:1 orbits:68 collection:1 hence:1 plane:1 physik:1 cambridge:1 law:1 grow:1 sorted:1 changes:2 short:1 attempt:3 dynamical:6 third:1 ny0:1 spectra:8 irwin:1 cosmology:1 lengths:1 cannot:3 fundamental:2 suggest:2 halos:15 order:8 restricted:1 least:2 interpretation:1 aforementioned:3 serve:2 indeed:2 over:1 move:2 expects:1 rounder:10 experiments:8 statistical:1 spheroidal:1 existence:2 cold:1 still:2 its:7 galaxy:8 warren:2 selfconsistent:1 style:1 dvorak:1 efstathiou:2 majewski:2 chosen:2 l73:1 masses:7 plethora:1 decreases:6 actually:2 better:1 absence:1 lewis:1 systems:5 clusters:1 main:4 might:1 alter:3 versus:2 them:7 affected:2 intimately:1 combination:1 gets:1 cen:1 questions:3 practice:1 regarding:1 investigated:2 break:1 kravtsov:3 supercomputer:1 tails:1 effects:7 they:10 determines:1 thus:5 discuss:1 halo:22 easily:3 february:1 deteriorates:1 hereafter:1 tral:1 university:3 level:3 skrutskie:1 capability:1 merge:1 kpc:6 stopped:1 reasonable:2 each:3 universit:1 energetically:2 constraints:1 square:1 significantly:5 zurich:2 series:1 energy:5 related:2 bradley:1 frequency:4 expect:1 year:1 our:18 happen:1 nonlinearities:2 really:2 try:2 shown:2 zentner:1 space:15 rounding:8 quantify:1 since:6 crucial:1 chaos:12 particles:14 behaviours:3 investigation:2 emerged:1 surprise:1 cause:3 occurs:1 red:3 shows:1 numerical:10 linear:1 favored:1 galaxies:3 free:2 differing:1 completely:1 formation:6 york:2 element:1 ask:3 estimate:1 bigger:5 pkdgrav:1 generate:1 additional:3 incorporates:1 hubble:1 diemand:1 could:3 impose:1 frenk:2 times:3 motion:6 length:1 explored:1 place:2 ats:1 consequence:1 moving:3 first:11 origin:1 already:3 probability:1 sev:1 thesis:1 potter:2 number:16 reaches:1 randomized:2 sideris:3 employing:1 fast:3 another:1 mvir:1 angular:1 size:1 passes:1 differ:1 nz0:1 start:1 introduction:1 top:8 system:28 adopted:1 their:12 cooling:3 intermediate:1 observations:1 wildly:1 analyzed:1 white:2 scheme:1 structures:1 final:2 too:4 collapse:1 jesseit:5 centered:1 baryon:1 explanation:2 dissipationless:13 zeroth:1 lower:1 binney:2 part:1 authors:1 simula:1 totten:1 than:7 remember:1 diffusion:2 distance:5 ben:1 reason:2 showed:1 kazantzidis:4 isolation:1 approximations:1 rate:4 recording:1 matter:14 future:2 amplitude:5 were:7 visited:1 treated:1 projections:4 mpia:1 fashion:3 galactic:1 spectrum:4 regime:5 randomly:1 albada:1 close:14 need:1 seen:1 concentration:1 constrained:1 occupied:1 clearly:6 stadel:6 acceleration:1 issue:1 angle:1 form:1 resembles:1 self:1 responsible:2 apjl:1 extracted:3 high:1 potential:4 build:1 forces:2 epsilon:1 spergel:1 mayer:2 becoming:1 blue:1 continuous:1 relatively:1 norman:2 investigations:1 any:2 collapsing:1 object:1 reach:1 clearer:1 dimensions:2 regular:8 germany:2 printed:1 significant:7 phase:15 baryons:1 extremely:2 why:4 inconsistency:1 preferences:1 latex:1 give:1 especially:1 bosch:1 into:6 cover:2 counted:1 efthymiopoulos:2 verlag:2 principle:2 pattern:1 physics:4 fitted:1 emerging:2 selected:5 particularly:1 phenomenon:3 show:3 cdm:1 friction:1 visualized:1 area:1 attempts:2 spaces:1 relation:1 carefully:2 rough:1 determined:2 randomize:1 thicker:1 help:1 rev:1 specifically:1 ratio:7 parameters:2 baryonic:29 merger:1 explain:1 enough:1 should:7 analytic:1 only:6 difficulties:1 black:4 integrate:1 burkert:6 recipes:1 achieve:1 centrally:1 characterization:3 do:3 dm:8 sagittarius:1 means:2 dependent:1 zurek:1 de:1 quantified:2 expectation:1 ones:4 nearly:1 words:1 despite:1 during:5 averaged:1 areas:2 adiabatically:1 evolution:17 consist:1 encounters:5 arxiv:1 alteration:1 acknowledgments:1 navarro:2 investigate:2 paper:4 schemes:1 vass:2 switzerland:1 inside:4 view:1 kernel:2 set:3 computed:4 luxury:1 achieved:2 encourages:1 correlations:1 maximum:3 observed:4 analytics:1 namely:1 individual:5 radius:3 result:1 sea:2 terms:1 luminous:3 chose:2 closer:1 tensor:1 subsequent:2 away:1 currently:1 ostheimer:1 initially:1 written:1 smallest:1 between:6 tensors:1 invariant:1 approach:7 available:3 sections:1 comparable:1 recently:2 deflecting:2 extend:1 opening:1 importance:2 modify:3 points:2 however:1 cut:1 answers:1 key:1 clues:2 distinguish:1 modeling:2 configuration:14 alters:1 concentrated:1 both:7 panels:11 last:1 many:6 region:4 density:11 equal:2 against:1 assure:1 admit:1 context:1 passing:1 mean:2 asked:1 teukolsky:1 comment:1 ch:2 extent:1 timescale:1 point:1 seems:1 dimensional:2 directions:5 simply:4 coordinates:1 quinn:4 virial:1 wider:1 respect:2 throughout:2 broadening:1 most:1 described:2 second:6 addition:1 wmap:1 three:6 been:6 quickly:1 evolutionary:1 100km:1 much:4 slowly:1 expected:2 timesteps:1 ph:3 fig:12 box:8 direction:2 controlled:2 cosmological:6 quantities:1 coherence:1 gas:8 observe:1 understand:1 angles:4 mail:1 andrea:1 spirit:1 present:5 case:6 look:2 washington:1 solid:3 dissipational:27 reliable:1 primack:1 single:1 value:1 employ:1 while:1 replaced:1 emerge:1 investigating:1 gerhard:2 spacial:1 weakens:1 larger:2 chaotic:20 characteristics:1 eral:1 tions:1 ii:1 cluster:1 regularity:1 examined:1 experience:1 vx:2 limit:1 conserve:1 elements:1 increased:2 orbital:12 lieberman:2 different:11 moves:1 fraction:3 perform:2 barnes:4 make:2 cross:1 same:17 poincar:2 shorter:1 shifts:1 randomization:6 parts:7 roland:1 split:1 cyan:1 big:1 modification:2 several:3 higher:1 evolve:2 used:1 http:1 see:1 cubic:1 milky:1 disagree:1 effect:10 hand:4 average:1 v2:1 uses:1 urich:1 potentials:1 infinite:1 opportunity:1 normalization:1 deflects:1 maccio:1 weakly:2 kept:1 center:34 fully:1 studies:1 modeled:1 well:5 analysis:11 obviously:1 without:5 components:4 sets:1 firstly:2 quantitative:1 model:2 bodies:1 usual:1 spherical:2 distances:4 carlberg:3 softening:8 hexadecapole:1 being:1 percent:1 ellipticals:1 shape:15 underlying:1 identify:1 thanks:1 harrison:1 triaxiality:1 useful:1 yes:1 scattering:1 yet:1 previous:3 accepted:1 conclusions:2 alternate:1 had:2 seem:1 dubinski:4 issues:1 voglis:1 combine:2 location:2 constant:4 extensive:2 protogalaxies:1 heidelberg:1 momentum:1 gave:2 resolved:1 marco:1 aspects:1 around:1 sticky:2 conclude:1 phenomenology:1 possible:1 elapsed:1 dark:22 possibly:1 increases:2 descending:1 mon:1 press:5 using:7 aiming:1 occurring:1 apj:14 necessary:3 like:8 particle:19 follows:2 qualitative:1 adiabatic:1 chaotically:1 shapes:5 anymore:1 history:1 steps:2 treecode:1 evolutions:2 become:4 suto:3 velocities:3 often:3 ioannis:1 reveals:1 bohn:1 deflected:2 phenomena:2 springer:2 corroborate:1 strongest:1 growth:12 nagai:1 moreover:3 altered:1 infall:2 happens:2 nfw:1 scale:2 projection:1 tracked:2 sufficiently:1 broad:2 tube:1 unavoidable:1 recorded:3 integration:1 per:2 behave:2 provides:1 unavoidably:1 indication:1 ibata:2 content:1 closely:2 o1:1 kandrup:4 core:6 power:5 salmon:1 journal:1 radial:3 confidence:1 onigstuhl:1 dutton:1 ratios:7 invaluable:1 tidal:1 therefore:3 properties:1 governato:1 comparison:2 about:7 works:1 central:51 puts:1 getting:1 row:7 universe:1 eckstein:1 ranges:1 dependence:6 o:13 simulation:12 avm:1 haloes:6 concentrations:1 connected:1 investigators:1 valluri:4 contours:2 soc:1 own:1 decreased:1 redshift:1 previously:1 h0:1 within:4 numerically:1 bound:1 univ:1 down:1 because:5 references:1 rapid:1 proportional:1 macci:12 spline:1 theoretically:2 flannery:1 jing:3 bullock:1 van:2 naab:6 confident:1 artifacts:3 there:10 question:2 long:4 noticed:1 occupy:3 accordingly:1 manifested:4 way:5 analyze:1 was:14 naturally:2 boxcar:1 faltenbacher:1 newtonian:1 forming:1 relaxed:1 bottlenecks:1 but:12 astro:2 repeated:1 hierarchical:1 repeatedly:3 delta:1 mnras:8 line:10 dissipative:2 faster:1 volume:2 made:1 evident:2 instructive:1 whether:1 represent:1 gravitational:3 smooth:1 up:2 us:1 until:1 ωm:1 fluctuations:1 problem:3 ωb:1 similar:6 called:1 nature:2 regimes:3 detailed:2 associated:10 moore:5 computing:1 ai:1 abstract:1 escape:1 influence:6 life:1 general:4 quantification:1 examine:1 reliability:1 periods:5 file:1 simulations:15 some:3 corresponding:1 work:2 distributions:1 physical:2 functions:1 codes:1 nx0:1 dotted:3 no:4 when:12 treatment:1 harmonics:1 other:4 role:2 normal:1 becomes:1 correlates:1 gyrs:6 node:1 picture:1 formed:2 diamonds:1 connect:1 intensifies:1 separate:1 models:1 backbone:1 uniformly:1 bottom:5 variation:1 chaoticity:6 n0:1 generated:1 important:5 dissipation:5 astronomy:2 restrained:1 structure:3 quinlan:2 building:1 lichtenberg:2 longer:2 assume:1 vetterling:1 age:1 percentage:1 holes:2 orbit:25 having:2 mimic:1 dramatic:1 mass:50 time:31 qualitatively:1 wechsler:1 starting:1 original:6 once:1 |
0704.3079.txt |@word represent:1 monte:1 prot:1 polypeptides:25 consider:3 chain:15 limited:1 fox:1 dynamic:1 results:7 existing:2 four:3 entropy:4 grateful:1 consists:1 dϕ1:3 expressions:2 contributions:3 cases:1 devoted:1 c0:7 depend:3 calculate:2 caldwell:1 linder:1 sparrow:1 canonical:1 bragg:7 critical:1 fischer:1 petersburg:1 th:5 stable:3 stochastic:2 gould:1 p2:4 finkelstein:1 kχ:5 dϕn:3 zhang:1 very:2 frequencies:3 account:1 choice:1 every:1 mixing:1 experimentally:1 difference:2 exact:1 treating:3 europhys:1 obvious:1 vibrational:2 hamiltonian:6 experiencing:5 guo:1 applicable:1 t0:8 laue:1 large:5 minimal:2 small:4 eigenvalues:1 der:2 bessel:1 occurrence:2 oscillation:1 torres:1 books:1 coefficient:1 zb:2 approximation:4 go:4 second:7 cost:1 value:2 substituting:6 chen:1 further:6 dynamics:14 acid:14 carlo:1 dψ1:3 linear:1 residue:2 established:1 nonlinear:1 suc:1 nano:1 brackets:5 fact:3 sum:2 expressed:1 3i:2 3n:10 above:2 waals:2 new:1 frisch:1 method:20 3d:1 body:2 dψn:3 full:1 intas:1 degree:5 respectively:9 here:7 analysed:1 water:1 xλ:3 objects:2 brooks:2 groups:1 others:1 z4:4 z5:4 along:4 equations:5 z1:4 change:7 deduced:1 obtained:3 samuelsson:1 noticeable:1 institute:2 involved:1 study:8 studied:5 allows:1 completely:2 commonly:1 published:2 paris:1 amount:2 periodic:1 stiffness:2 shakhnovich:2 usually:4 resonance:1 studies:2 sci:7 fujita:1 kid:3 via:1 useful:1 macromolecule:1 scales:1 apr:1 ls:19 summation:5 total:4 establish:1 standing:1 use:4 dna:2 usa:6 probabilities:1 contains:2 predictions:2 process:11 ψi:6 call:1 therefore:5 cieplak:1 e2:1 rhee:1 theoretical:14 minor:1 more:5 separated:2 nauka:1 treated:5 modification:1 conformational:8 suggestions:1 under:1 ooi:2 odinger:1 validity:1 xiao:1 interaction:1 rigid:1 particular:5 known:2 dependance:1 µhi:4 iii:3 vj:3 latent:2 md:1 polypeptide:96 rotational:1 room:1 integrating:2 science:2 equation:9 work:3 mi:1 modified:1 µsi:3 theories:7 lipman:1 fock:1 values:4 temperatures:1 ms:1 following:15 making:2 averages:1 example:1 zj:4 history:1 lχ:6 wang:1 figure:1 chosen:1 calculation:2 cited:1 neglected:2 lψ:3 dependence:8 states:20 minimum:4 numbers:2 allowed:2 tal:1 sharp:3 counting:1 hydrogen:4 occur:1 native:1 ilia:2 needs:2 straightforward:1 rather:1 divided:1 means:3 ojcik:1 makes:2 far:1 varies:1 numerous:1 fourth:3 instead:1 hi:2 parameter:4 ensemble:1 circular:2 shirts:1 zimm:7 proc:6 description:14 undergoing:2 information:3 transforming:1 thermodynamic:5 oscillators:1 earlier:4 derived:2 containing:1 factored:1 biophysics:2 microstate:1 charmm:1 italy:1 stiff:16 constants:1 si0:3 physical:3 builds:1 third:2 twisting:14 chapman:1 st:1 perform:1 si:4 so:6 fundamental:1 reduced:1 uncoupled:2 crystallographic:1 solov:18 order:12 turns:1 typical:2 zui:1 correlation:1 developed:4 over:14 2πkt:2 years:2 stability:1 course:2 thermal:1 paper:24 scott:3 looks:1 statistical:12 mentioned:1 existence:2 kinetic:3 still:1 its:18 diagonalized:2 write:1 group:3 manuscript:1 acknowledge:1 energies:4 lo:1 masses:4 solving:2 sixties:1 coordinates:10 θi0:3 parts:2 degrees:49 systems:14 powers:1 omitted:1 clusters:1 scheraga:12 main:2 defining:3 eur:3 versus:1 them:2 within:12 gibbs:1 fragment:1 noe:1 outlined:1 greiner:9 fig:11 investigated:1 landau:1 framework:8 stephanie:1 they:5 oxford:1 rotation:2 khalili:1 structural:3 easily:1 term:9 finite:1 indeed:1 2s:1 always:3 university:1 accompanying:1 proteins:8 asher:1 micro:1 magnitude:1 mode:2 reasonable:1 each:2 found:2 schellman:1 energetically:1 side:3 characterized:4 referred:7 subsystem:1 domain:1 differential:1 another:3 secondary:1 phj:2 generation:1 energy:37 hard:1 principles:2 related:2 solution:1 frequency:2 obtains:7 quantum:3 our:8 transitions:10 eq:21 vicinity:3 special:2 out:2 stanley:1 leave:2 shown:3 literature:1 matrix:3 yakubovich:9 electronic:1 since:7 rev:4 denotes:2 particles:1 contained:4 investigation:2 ra:1 chemical:1 max:1 denoted:2 krimm:1 ref:1 ri:2 mλ:2 occurs:1 i2:3 angular:1 theory:12 written:2 free:5 analytical:1 approaches:6 formation:3 nid:2 biological:1 e1:1 shortest:1 rewritten:2 definition:1 qj:3 derivation:2 fias:1 could:1 transition:53 m21:1 m22:1 feasible:1 motion:8 forms:1 pande:1 santoro:1 βi:1 first:20 ding:1 major:2 initial:1 features:1 probability:2 radical:2 variables:2 pa:1 assumptions:8 number:16 gunsteren:1 aaaaa:1 set:6 done:3 biol:1 directly:1 qks:4 rubin:1 open:1 kia:3 size:1 dispersion:1 he:2 cartesian:2 temperature:20 needed:2 introduction:1 dft:5 eqs:6 system:52 least:3 their:1 observations:2 calculations:4 molecular:32 structures:2 final:2 williams:1 gives:2 exploring:1 ripoll:1 releases:2 pittsburgh:1 explanation:1 hermans:1 part:1 nh2:5 attempt:1 zhurnal:2 than:4 population:1 kind:1 ben:1 unfortunately:1 biopolymers:3 require:1 shea:1 l2s:3 determined:5 str:1 were:15 identical:3 schuler:1 solely:1 russia:1 descriptions:1 elber:1 raman:1 spectra:1 ev:2 fullerenes:2 correction:1 modern:2 generalization:1 case:5 close:1 take:1 2i3:1 element:1 orders:1 relatively:1 chem:22 angle:9 zero:1 depending:2 efficient:3 thoroughly:2 responsible:2 connell:1 snow:1 note:9 altmann:1 potential:27 generalized:20 simplified:2 xi:1 techniques:2 moscow:1 accuracy:1 even:1 index:1 enter:1 molecule:4 z2:3 most:5 boltzmann:1 regular:2 germany:1 irb:2 significant:1 phase:52 coil:45 analytically:2 measured:1 torsional:1 volume:1 treats:1 nonlinearity:1 characterizes:1 considered:11 neighboring:3 calculated:12 sometimes:1 neutral:3 z3:3 counted:1 qualitative:2 peptides:1 optical:1 exp:14 mechanical:2 physics:7 fitted:1 hi1:1 show:1 text:2 random:30 recipe:2 infrared:2 notations:1 russian:3 attempts:3 relation:1 absorbs:2 isomeric:3 d3:4 decade:1 principal:1 sorin:1 larson:1 ha:1 based:12 knowledge:2 parameters:22 much:1 edited:1 folded:3 ciα:8 terminal:2 only:6 helix:46 molecules:2 factor:4 thompson:1 curr:1 partially:1 equilibrium:5 do:5 peptide:3 goes:3 bonds:6 dependent:1 de:1 dc:1 wallin:1 ones:2 ϕi:6 determine:3 report:2 during:4 dt:3 2mi:1 represented:1 gen:2 zbk:1 alexander:1 kollman:2 approach:5 arxiv:1 yield:1 consisting:5 garcia:2 investigate:1 experiments:2 common:1 contain:2 qi:5 london:1 fixed:2 scanning:1 alanine:14 motions:1 achieved:1 godoy:1 eaton:3 up:2 elsevier:1 unfavorable:1 see:17 computer:3 result:2 terms:9 news:1 momenta:6 acquires:1 surfaces:3 phases:7 satisfying:1 capacity:13 fang:1 clementi:1 review:3 equal:1 atomistic:2 ciβ:5 state:29 classes:1 various:3 between:11 affecting:1 boundary:3 reading:1 conditions:1 quantities:3 recently:1 statistically:3 extend:1 nature:1 importance:1 zbn:1 p2i:1 however:8 tobias:1 york:1 jr:1 analyzed:3 article:1 atoms:10 inertia:3 m23:1 suggested:19 both:1 cos:2 foresman:1 folding:9 roig:1 radicals:2 many:2 fifth:1 vibration:4 space:6 etc:2 involve:2 became:1 present:5 iv:2 uni:1 contribution:4 bond:6 expression:7 experimental:3 originating:1 ci:5 co:2 timescale:1 characterization:1 simple:2 address:1 2i2:1 corresponds:1 poly:1 walk:1 dimensional:1 interface:1 unfolded:2 lh:12 sequences:2 respect:13 considers:1 torsion:5 ps:1 pp:1 described:3 basis:7 z0:2 elmer:1 three:7 been:8 describes:9 initiation:3 combined:4 expected:2 conjugated:1 ph:3 pi:1 hardly:3 ann:2 walter:1 field:1 generating:1 andrey:1 corresponding:18 influence:1 sufficient:1 formed:3 woodruff:1 buldyrev:1 gao:1 angles:26 mail:1 last:5 denote:2 those:5 independence:1 applied:2 novel:4 macromolecules:2 ǫi:1 empirical:3 evaluated:2 enthalpy:2 frameworks:1 while:14 abrupt:2 behavior:2 situation:1 noninteracting:1 topologically:4 larger:3 coupled:1 characteristics:8 refs:2 thus:7 non:2 surface:5 according:1 ii:3 ih:2 reads:2 ij:6 rij:3 kt:35 maximal:1 protein:4 noi:2 acknowledgments:1 different:18 classified:1 develop:1 grant:1 lengths:4 suggest:1 same:1 any:3 complex:7 fizika:1 widely:3 units:1 φi:2 proved:1 several:7 grows:1 development:2 independent:7 phi:1 used:17 prabhu:1 i1:4 i0:3 i3:3 numerical:4 struct:3 ri0:3 compared:1 kib:3 hartree:1 ab:12 single:4 recent:2 numbered:1 schr:1 modes:3 ǫij:2 charges:1 changes:1 poland:2 simplicity:2 well:1 analysis:3 studying:4 coordinate:5 position:1 model:13 chemistry:2 ferguson:1 distances:2 glycine:2 less:1 being:11 nd:2 accurate:1 lϕ:3 obtain:3 vanishes:1 press:2 manifestation:1 identify:1 atomic:2 summed:1 alternative:4 baldwin:2 previous:1 rapid:1 freire:1 cm:2 density:1 cornell:1 except:1 improvement:1 internal:4 transformed:2 treatment:1 versa:1 natl:6 transformation:2 momentum:3 hybridization:1 psj:2 bio:1 psi:5 evaluation:1 dihedral:17 loss:1 read:2 evaluate:1 rotatory:1 possible:13 harmonic:2 helicity:1 macromolecular:1 using:2 2i1:1 advanced:1 occurring:1 meaning:1 improper:6 necessary:5 semi:1 zu:3 systematically:1 polymers:1 reduces:1 villa:1 specific:5 either:3 integrals:2 δi:3 popular:1 conclusion:1 soft:23 essential:6 therein:2 because:7 methods:8 classical:4 sequence:3 conditional:1 some:6 understood:2 growth:3 acad:6 oscillations:1 neglecting:1 pronounced:1 clockwise:1 describing:3 sufficiently:1 tools:1 xie:1 measurements:2 recorded:1 extensively:1 whole:1 models:2 does:3 assuming:1 fragments:4 amino:43 chains:9 lifshitz:1 demonstrated:3 refer:1 limitations:1 core:1 power:2 seconds:1 σij:4 aj:6 conformation:10 interval:1 2m:4 cagliari:1 properties:4 von:1 inc:1 comparison:3 about:9 carried:1 ωi2:2 ack:2 freedom:52 discussed:5 factors:2 o:3 simulation:3 opin:1 sake:1 range:1 a2:1 bounded:8 introduced:4 zun:2 conformations:18 amber:1 integration:2 soc:2 computational:2 follows:7 unbounded:9 into:7 helical:5 functional:1 due:2 biophys:6 square:5 references:2 primarily:1 gomez:1 mass:10 theoretically:1 significantly:2 unambiguous:1 van:3 additional:2 classically:1 assumed:1 support:1 there:3 question:2 long:1 polymerization:1 occupy:4 accordingly:1 quadratic:1 low:1 way:2 was:33 gij:13 assumes:2 function:57 journ:1 complete:2 form:4 simplifications:1 duan:1 differences:1 but:2 gaussian:1 hj:3 heat:16 construction:9 nanotubes:2 ioffe:1 lectures:1 level:2 especially:1 made:3 coulomb:1 consist:1 characteristic:6 uv:1 variations:2 maximum:1 us:1 ωi:3 below:1 un:1 spectroscopy:2 planes:3 pergamon:1 problem:3 define:1 similar:4 called:5 expect:1 mechanics:13 ac:1 partition:47 constant:2 ln:8 defined:13 certain:3 universal:3 describe:13 am:3 general:6 scholtz:1 presented:1 θi:2 exist:3 fiziki:2 simulations:10 accounting:1 formalism:2 dγ:2 qis:1 constructed:8 ni:7 functions:6 performed:7 thermodynamical:5 variety:1 biochemistry:3 na:2 nb:2 when:4 detail:1 dichroism:2 application:1 other:2 details:1 normal:5 papers:5 leen:1 yov:18 theor:2 4k:1 polar:2 intend:1 calculating:1 initio:12 backbone:2 variation:2 includes:2 a1:1 a3:1 important:1 a5:2 peak:3 accounts:3 included:1 qi0:1 structure:7 correlated:1 individual:1 minutes:1 calorimetry:1 vice:1 baker:1 acids:29 kinetics:2 weights:1 χi:4 volumes:2 time:3 dyer:1 func:2 frankfurt:3 original:2 stewart:1 |
0704.3080.txt |@word gv:45 δg0:4 faber:1 gs:49 consider:6 chain:1 crucial:2 copy:4 particular:4 results:4 four:3 scalar:1 canada:1 computation:4 edu:1 partial:1 expressions:1 disk:1 contributions:3 toric:16 row:3 compact:13 whose:1 preserves:1 inverse:1 depend:2 gq:8 marcos:1 acts:1 young:25 noncompact:1 d4:5 ucsb:1 tj:6 manifolds:15 th:27 ti:22 analogous:1 te:6 ta:9 summarized:1 conjecture:2 tb2:1 amplitudes:7 string:149 straightforward:2 very:4 rise:4 wave:2 corollary:1 novel:1 every:1 orientations:3 entries:1 affect:1 exact:2 deformations:3 condition:1 trk:8 symplectic:2 leven:1 hamiltonian:4 uncovering:1 positions:2 t2:1 ge:3 d2:2 t1:3 leave:2 discrete:7 vector:6 excellence:1 math:10 quick:1 gauge:24 trr:8 barbara:1 alternatively:1 trv:1 l2a:5 correct:2 zo:17 grateful:1 ten:1 zk:11 hori:1 variables:2 bubbling:26 l2m:2 literature:2 zc:12 second:4 perspective:1 nδn:1 further:1 cft:2 remarkably:1 linear:1 even:1 established:1 what:3 plays:4 brackets:1 giving:2 diag:4 section:10 associate:1 brief:1 expressed:1 agrees:1 version:1 localized:2 above:1 new:16 contributes:2 acknowledgments:1 make:1 q1:1 bi:2 focuses:1 wrapping:11 equals:2 here:10 lodd:1 contemplate:1 cr1:9 graviphoton:1 making:3 directions:2 path:1 along:4 respect:2 appears:3 change:2 knowledge:2 obtained:8 great:1 splitting:1 institute:4 shift:2 study:5 studied:1 allows:1 schwarz:1 base:1 resulting:1 action:3 hospitality:2 conveniently:1 proof:1 makes:2 involves:1 schur:6 useful:2 transformations:1 family:1 extra:3 ground:2 explained:3 narain:1 replace:1 nk1:1 apply:3 counts:2 total:1 aganagic:6 jaume:1 use:4 charge:2 asymptotic:5 would:3 prove:4 distinct:1 positive:1 simons:9 bundles:1 finally:2 properties:3 comparing:6 nucl:3 program:1 therefore:9 encode:2 generators:1 2y5:1 type:3 theoretical:4 mirror:2 more:4 gopakumar:10 duality:9 initiated:1 r5:24 started:1 becomes:4 under:6 curvature:1 derivation:2 appendix:12 perimeterinstitute:1 informally:1 known:2 holographic:1 annuli:2 capturing:1 must:3 involve:1 include:1 quantized:1 integrating:4 deformed:1 recall:3 equation:1 r3:29 oscillator:1 modified:2 theories:1 labeled:10 fock:1 values:8 following:11 clutter:1 arrive:2 example:3 performed:1 littlewood:3 f1:3 f2:2 relabeling:1 figure:28 give:4 choice:3 permutations:1 purposes:1 pieces:2 states:1 sphere:1 dropped:1 want:1 arise:2 counting:1 end:2 goal:1 turn:2 s3:1 verify:1 discussion:1 holds:1 tableau:26 recovers:1 regions:1 how:3 need:1 pure:2 dg:2 answer:2 instead:1 parameter:1 pasquetti:1 cecotti:1 product:3 blocks:4 description:4 replacing:4 ladder:1 after:5 derived:3 confirmed:1 collection:3 straightforwardly:1 diagram:5 applications:1 abuse:1 fg:4 representations:2 fk:6 data:4 subsection:1 κr2:2 ambiguous:1 natural:3 effective:5 whenever:2 sr:8 chern:9 explicit:5 correspond:2 su:1 βi:6 sk:5 perform:2 witten:3 so:5 specifying:1 fundamental:2 sl:1 representation:16 z2m:1 acknowledges:1 order:5 transformation:2 origin:2 belong:1 interpretation:8 pandharipande:1 antoniadis:1 produces:1 indeed:1 over:2 move:1 produced:1 course:2 paper:13 through:3 looks:1 argued:1 existence:1 satisfies:3 okounkov:2 its:1 before:2 write:6 derive:3 group:6 thank:3 maps:1 interesting:7 coordinates:4 li:11 ooguri:2 derivative:2 main:2 defining:1 into:4 s1:2 correspondence:3 ri:14 non:26 h1:2 combination:2 propose:1 calabiyau:2 introduce:1 scaling:1 motivates:1 ηi:8 they:6 half:1 b577:1 rotation:2 now:14 references:1 discuss:1 riemann:1 going:1 term:5 gets:1 equality:3 betti:2 invariants:61 university:1 presented:1 compactifying:1 identified:2 marino:4 differs:1 2g:5 l2:5 mode:1 l0:1 l1:5 2m:19 dbranes:2 european:1 side:7 characterized:1 defects:1 griguolo:1 perimeter:3 holonomy:35 transforming:1 nt1:1 series:3 energy:4 nt2:1 idea:1 related:7 operator:6 arrives:1 expect:3 combining:5 loops:6 relates:1 transitions:15 special:2 out:4 rt:11 living:4 shown:14 fluxes:5 rp:2 matrix:10 n10:1 space:13 furthermore:1 since:10 lagrangian:15 cancels:1 denotes:2 looking:1 may:1 transposing:1 adv:2 formula:14 occurs:1 rj:3 shows:3 commutation:1 gromov:1 turning:1 theory:73 state:8 ri2:1 diagonal:5 free:2 nti:1 completely:5 rows:6 california:1 nto:4 eigenvalues:1 ask:1 originally:1 nte:4 vincent:1 union:1 r4:9 definition:2 r6:25 fixed:1 waterloo:1 r2:40 created:1 geometry:31 takuya:2 could:2 transition:19 but:1 v2:6 times:1 ahler:12 length:4 v3:7 massive:4 consequence:1 saulina:1 undergo:6 exhibited:1 βj:1 first:7 knots:8 already:4 symmetry:3 xm:1 xb:63 relate:2 conjugacy:3 xa:1 number:22 bershadsky:1 hitherto:1 clear:2 gs2g:2 done:1 relations:1 another:11 schwimmer:1 precisely:13 open:109 caporaso:1 size:4 coprime:1 given:27 perturbation:5 sheet:7 rewritten:2 introduction:2 unknown:1 construct:2 their:2 seiberg:1 normalization:1 statement:1 realization:1 wrapped:1 upshot:1 white:1 cycle:11 speaking:2 gives:3 holomorphic:2 l2j:2 χr1:1 klemm:1 continuous:3 flopped:2 kentaro:1 task:1 khovanov:1 part:8 gluing:4 x1:1 than:2 specify:3 modes:1 relative:6 seminara:1 determines:5 showed:1 double:1 computes:5 project:1 computations:1 fermionic:1 determined:4 amplitude:15 represents:1 discs:1 worldsheets:1 powers:1 minus:1 result:3 exhibit:1 bouchard:1 fashion:1 symmetries:3 generality:2 rewrite:2 lines:1 conventional:1 turned:1 spectrum:1 wµν:1 phy:2 factorizations:1 conjugate:3 r3t:1 seen:1 confirms:1 saw:1 orders:4 contents:1 wilson:12 strength:1 holonomies:2 zero:1 convenient:3 self:1 able:2 ideas:1 taylor:1 note:3 k2:7 k1:4 edge:11 absorbed:1 take:2 near:1 canonical:1 modulus:4 evaluated:1 province:1 formulas:4 links:1 regard:1 aspen:1 unknot:5 index:3 object:1 appendices:1 κr:1 marin:1 most:2 rozansky:1 plan:1 sheets:2 pair:1 t2m:3 inserted:2 why:1 exponent:3 annulus:1 b413:1 parametrize:3 observation:2 exchanges:1 kj:15 urn:6 partition:84 versa:1 vertices:4 oscillators:1 yang:1 mri:1 exp:28 left:4 physics:11 naively:1 fact:3 sector:3 phenomenon:1 show:9 text:1 supported:4 fermionization:1 taubes:1 ending:4 kitp:2 purely:4 relation:9 fermions:3 frobenius:1 tempted:1 trivial:7 find:7 d0:1 d1:2 completion:2 symmetric:3 q2:1 cr6:3 proposed:1 parameters:1 explain:2 behind:2 topological:52 mina:1 only:4 explicitly:12 black:1 coefficients:7 gomis:2 factor:3 various:4 local:6 columns:1 nj:7 pk2:3 do:2 pk1:3 notation:2 get:7 familiar:2 connections:1 expectation:2 rt1:1 framing:14 words:1 rt2:1 applying:1 superposition:1 boundary:4 runs:1 qr:5 multiplying:1 crt:5 fields:2 arxiv:3 yield:1 summary:1 qb:3 though:1 contain:1 obscure:1 cycles:6 ql:5 view:1 satisfy:2 moduli:6 set:3 sr1:3 computed:5 achieved:1 generally:1 calabi:57 opposite:1 depends:7 geometrically:1 descriptions:1 discussions:1 d75:1 forthcoming:1 brst:2 prototypical:1 techniques:2 nekrasov:1 tensor:2 pictures:1 configurations:2 flop:3 boundaries:3 tantamount:1 written:6 classes:1 identification:6 closed:131 between:9 αi:5 invariant:6 geometric:30 diagonalized:1 conditions:4 discovery:1 knowing:2 multiplied:1 notice:1 terms:26 extend:2 web:1 modify:1 okuda:2 focus:3 ngs:9 p2j:7 vanishing:1 jj:3 demonstrate:1 outer:1 generates:1 configuration:23 come:1 bracket:1 topology:11 both:5 last:1 redefine:1 desired:1 chiral:2 many:1 taking:3 zb2:3 equal:1 nserc:2 quantization:1 connection:1 present:2 instanton:4 context:1 ete:2 puff:1 contribution:19 argue:1 expression:6 finds:2 zk2:2 r2t:1 nqr:2 stretches:1 supply:1 simple:3 ca:2 asymptotically:1 corresponds:5 dimensional:7 represented:2 exploit:1 grants:1 anti:14 boson:3 learning:1 alone:1 polynomial:4 constant:5 nr1:8 writing:4 branes:94 considering:1 ecole:1 described:5 submanifold:10 decoupling:1 basis:2 yau:57 gravity:1 skew:3 membranes:3 induces:1 three:1 been:3 z1:1 ai:15 much:1 combined:2 basic:3 pj:1 pk:2 proposal:3 define:7 elitzur:1 determinant:2 arises:10 supersymmetric:2 easy:1 labastida:1 nrg:2 nc:1 argument:3 remarks:1 external:2 stems:1 nrr:2 general:3 2j:1 those:1 case:6 replaces:1 ap:1 solid:4 macmahon:2 expanded:1 appearance:2 value:3 deformation:4 will:4 while:8 replaced:11 momentum:4 applies:2 situation:1 property:1 σa:2 loop:13 dλ:1 identical:1 vectors:1 orientation:2 backreacted:2 n2l:1 trivially:1 rit:1 thus:2 them:1 surface:1 ii:1 characterize:1 chernsimons:1 cone:1 dual:2 fibration:1 l2i:1 conical:1 fermion:1 disappear:3 compactified:1 different:8 moves:1 verified:1 grant:2 lengths:1 large:3 realizing:1 government:1 same:7 any:4 rules:1 complex:8 categorification:1 evaluate:1 units:1 several:3 higher:2 development:1 independent:1 used:5 infinity:5 see:10 parametrizes:1 foam:2 upon:1 effect:2 hand:9 parametrized:3 v1:9 running:2 edges:7 v4:7 purpose:2 jkj:1 distinction:1 infinite:3 changing:1 invariance:1 identity:7 recent:2 relies:1 genus:2 off:5 center:1 nevertheless:1 degeneracy:1 well:2 roughly:2 eto:2 crystals:1 concrete:1 without:5 components:1 coordinate:2 position:5 model:4 arising:2 spencer:1 subgroup:1 s2:2 manifold:14 knot:21 just:2 trx:1 being:4 captures:1 observed:1 periodic:1 rotated:1 obtain:4 rest:1 reviewed:2 torus:4 shape:1 underlying:1 identify:2 thanks:2 iqbal:1 world:11 facts:1 cpht:1 alternative:1 captured:3 previous:1 letting:3 polarization:4 enters:2 ads:2 generator:1 field:20 regarded:1 point:3 character:1 parametrization:3 handy:1 setting:2 combine:1 lett:1 contractible:13 pointing:1 apart:1 lagrangians:2 euler:1 iφ:1 resolved:24 maya:1 around:1 rev:1 eigenvalue:1 read:1 multiplets:2 showing:2 sums:1 possible:2 interior:1 boxes:8 zk1:2 know:2 background:6 vacuum:4 integer:6 unique:2 moreover:1 calculate:1 prominent:1 insert:3 modifications:1 theor:2 appearing:1 like:2 identifying:1 follows:6 reduces:1 performing:1 δr:1 flux:5 bps:7 yields:1 either:5 integrals:1 arbitrary:13 become:1 topologically:2 stretched:1 specifies:2 dualities:2 often:1 namely:2 explaining:1 phase:1 some:2 understood:1 b1:4 b2:5 specified:5 glance:1 qb2:1 happens:1 bions:1 cψ:1 describing:1 dimensions:2 confirm:1 demonstrates:1 shall:1 hodge:1 eiφ:1 planck:1 sr2:7 sr3:1 does:4 connecting:2 weyl:1 gukov:2 ct:1 polytechnique:1 λi:5 power:1 mext:1 infinitely:2 equivalent:5 undergone:1 expansion:5 likewise:1 walcher:1 step:2 xi:2 bundle:1 santa:1 found:1 losing:1 relating:1 gava:1 hilbert:3 takes:11 integers:9 about:2 a1:1 geometries:1 concretely:2 commun:4 discussed:1 dependence:1 o:3 2i:8 addition:2 r1:21 ensure:1 rule:1 srt:1 act:1 generalization:1 replacement:1 block:4 moore:1 contains:2 noticed:1 h2:6 sl0:1 warrants:2 mills:1 integral:6 nsf:2 mari:1 down:1 prepares:1 appropriate:3 because:4 accounts:1 determine:3 wrap:6 proportional:2 refined:1 bosonic:1 sergiy:1 rely:2 ontario:2 hep:21 classical:1 eleven:1 vafa:21 assumed:1 support:2 there:8 conjugation:2 transform:2 long:1 class:7 start:1 ag:1 bosons:1 low:2 way:2 was:8 nt3:1 slight:1 ψr:3 function:85 complexified:7 gsm:1 complete:1 form:18 reshetikhin:1 brane:34 jun:1 encodes:2 volume:2 kodaira:1 line:1 grouping:1 nutshell:2 χr:7 again:1 integrality:5 compute:4 bosonization:1 passerini:1 compactification:2 smooth:1 up:6 us:10 ur:7 um:8 crystal:1 αm:1 limit:5 submanifolds:2 sum:3 uncovers:1 pm:1 similar:1 called:2 detailed:1 later:1 associated:6 choosing:1 labels:1 computing:1 defined:5 certain:7 abstract:1 aj:8 proven:4 denote:2 quantum:9 engineering:1 proves:1 right:2 periods:2 research:2 our:6 corresponding:11 formalism:4 identities:1 internal:4 physical:10 area:1 functions:6 nk:1 conifold:26 kavli:1 no:2 b326:1 dashed:1 separating:1 nai:1 when:13 detail:1 matching:1 application:2 nz:1 other:5 role:5 details:3 normal:1 kauffman:1 nq:23 nr:1 really:1 nt:7 conclusion:2 conclude:1 picture:9 intepretation:2 jhep:1 symbol:1 vertex:9 αn:4 polynomials:3 deriving:1 convention:4 generated:1 a2:1 richardson:3 variable:1 xji:2 structure:6 homology:3 jones:1 implies:3 coupling:3 using:20 vice:1 assume:3 d23:1 factors:1 together:2 strings:31 equivalently:2 factorizes:1 iia:1 starting:1 original:7 once:1 |
0704.3081.txt |@word partial:1 consider:2 similarity:1 fluids:1 scalar:1 computation:1 follow:1 expressions:2 replacements:1 calculate:2 tx:1 unshocked:2 quasi:1 contours:4 divergent:1 straightforward:1 very:2 wave:15 blast:19 logarithmically:1 condition:3 entire:1 exponential:3 shock:20 rˆ:1 t1:1 large:3 differential:1 small:3 configurations:1 direct:3 rhoads:3 jump:1 zero:2 qualitatively:2 zs:11 what:2 rate:1 giving:2 section:1 afterglows:3 uniform:1 lifshitz:2 new:2 method:1 filled:3 explosion:18 never:1 component:1 here:6 growing:1 cylindrical:7 ansatz:2 represented:1 ratio:1 along:1 equations:15 appears:1 logarithmic:1 obtained:2 allows:1 resulting:2 symmetrical:2 narrow:2 attractor:13 apr:1 marginal:1 decrease:1 total:1 use:1 asymptotic:5 positive:2 negative:3 next:1 therefore:3 until:1 separated:1 started:1 normalized:1 parameterize:2 keeping:1 rγ:3 equation:1 work:1 values:4 following:9 give:6 relativistic:24 dependence:1 lorentz:6 dropped:1 want:1 linearized:1 occur:1 axis:2 rays:1 downstream:2 rather:1 get:2 regions:1 far:3 low:1 pure:2 ordinary:1 parameter:1 tried:1 may:1 derived:1 containing:2 hence:1 produce:2 lax:2 waves:4 law:1 computations:1 light:4 perform:1 so:1 automatically:1 order:5 gµν:1 produces:1 over:1 paper:1 still:1 isosurface:1 asymptotes:1 derive:2 group:1 thank:1 decay:1 zˆ:1 coordinates:7 better:1 fig:3 decreased:1 main:1 might:2 tentatively:1 non:6 good:1 parabola:1 universality:4 introduce:1 landau:2 scaling:4 front:2 2t:6 2q:5 2r:1 fully:1 university:1 identified:1 bursts:1 stopped:1 each:1 found:2 mean:1 qu2:14 evolve:1 energy:30 related:1 solution:24 reached:1 our:1 eq:2 pu2:1 shown:2 factors:1 rep:1 since:1 squared:2 4pq:1 occurs:1 scalings:3 shows:1 foundation:1 written:2 york:2 8q:1 e0:2 βx:2 times:2 mesh:1 place:1 exponentially:2 corrections:1 v4:1 onto:1 first:2 already:1 features:1 symmetry:2 variables:5 number:1 rdθ:1 done:1 approximately:6 xr:1 xs:7 angular:1 size:1 given:4 cartesian:1 fair:1 leading:2 system:2 sedov:2 indicate:1 intermediate:4 too:1 inconvenient:1 scheme:1 final:3 pmax:2 gives:4 shell:1 fraction:1 asymmetric:1 part:2 because:1 simulate:2 x1:2 than:3 grew:1 namely:1 project:1 aas:1 were:5 toward:1 generality:1 dynamically:1 enforces:2 seen:1 orders:1 ray:3 angle:5 self:1 responsible:1 able:2 axisymmetric:3 shocked:1 converges:1 mckee:5 take:1 acquires:1 accuracy:2 reach:1 algebraic:2 cylindrically:1 extremely:1 xµ:1 latex:1 macfadyen:1 butterworth:1 calculated:1 flow:13 inferred:3 looked:1 talk:1 velocity:3 physics:1 laws:1 somewhat:1 show:2 supported:1 solutions:2 find:5 slow:2 causality:1 just:2 state:2 should:5 only:10 factor:5 parabolic:1 do:2 slows:2 means:2 stop:1 fluid:4 nearly:1 during:2 dt:2 dr:1 qp:3 qu:3 densities:1 fields:2 arxiv:1 requirement:1 exists:1 burst:3 emax:2 frame:1 observed:1 see:2 result:4 discussions:1 close:3 subject:1 uν:1 satisfying:1 symmetric:1 macros:1 behind:3 unable:1 boundary:4 conditions:5 opening:5 initially:1 however:1 ǫmax:4 piran:2 both:1 region:3 equal:6 admit:1 figures:3 0i:2 blandford:5 conclude:1 simple:1 dimensional:1 diverges:1 simply:1 throughout:1 finally:1 pq:1 pv:2 second:1 pu:7 due:1 been:1 slowly:1 change:2 interest:2 basic:1 expected:1 ph:2 abstract:1 direction:2 corresponding:3 quantities:2 dismiss:1 andrew:1 andrei:1 angles:1 evidence:1 case:3 attractors:1 washington:1 value:3 applies:1 ultra:14 headings:1 maximal:10 almost:1 von:2 ij:1 2βx:1 confirmed:1 generic:3 unity:3 dimensionless:10 gets:1 independent:1 used:2 numerical:9 heinemann:1 hand:2 moving:4 hydrodynamics:8 uˆ:1 normalization:1 roughly:1 thought:1 without:1 solve:1 sets:1 coordinate:2 position:4 left:2 spherical:2 ny:1 λu:1 appropriately:1 being:2 degenerates:1 accurate:1 rest:1 oxford:1 spherically:2 speed:3 preprint:1 density:9 had:1 selfsimilar:16 blob:8 transformation:1 momentum:5 rescaled:1 around:1 grid:1 using:1 loss:1 imposed:1 follows:2 signal:1 velocities:2 arbitrary:1 2qu:2 neumann:2 sends:1 some:3 proper:1 describing:2 dimensions:3 confirm:1 integration:1 per:1 does:4 assuming:1 propagating:1 minimal:1 gruzinov:4 power:1 radial:3 agreement:3 pressure:4 stage:5 about:6 simplify:1 discussed:1 qmax:3 o:3 simulation:3 gamma:4 into:3 integral:4 three:1 down:2 right:4 references:1 determine:1 theoretically:2 vˆ:1 measured:1 initial:8 approximate:1 2ξs:1 structure:1 way:1 astrophysics:2 was:15 head:2 medium:2 form:3 enough:2 but:1 astro:2 convergence:2 true:1 davide:1 directed:16 packard:1 characteristic:1 up:3 different:1 below:1 lucile:1 similar:2 mechanics:1 taylor:2 constant:6 universal:2 describe:1 denote:1 dξ:1 ap:1 exist:1 simulations:4 moves:2 functions:6 uµ:1 when:4 field:1 other:3 spatial:3 polar:1 ξs:4 prepared:1 meaning:2 explosions:3 faster:2 assume:1 resolution:2 interval:1 4r:5 4q:3 write:1 time:6 starting:1 once:1 |
0704.3082.txt |@word consider:5 chain:5 rev:3 equalities:3 global:1 results:6 four:2 eds:1 hurtubise:1 generalize:2 computation:1 c2:1 follow:3 gm:3 zarembo:2 2r2:2 whose:1 const:2 aug:1 charge:5 edward:1 th:42 under:3 discovering:1 analogous:2 bτ:2 conjecture:2 string:41 very:1 huang:1 modes:1 ηij:4 fat:1 wave:2 witten:1 zµ:2 difference:1 exact:1 deformations:1 condition:1 ρd:1 2πmi:1 leads:7 nuclphysb:1 hamiltonian:7 preparation:1 chains:1 integrating:1 t2:27 solution:7 integrated:3 large:3 math:4 small:1 relation:7 configurations:9 jhep:14 work:2 ωai:5 periodicity:6 mi:1 sin2:6 rra:6 cosh:1 approximation:1 zero:2 georgiou:1 perspective:1 concludes:1 chen:2 further:1 cft:6 melvin:1 rrs:1 expressions:2 zr:1 zs:1 established:2 diag:1 sum:1 d3:2 khoze:1 version:2 above:8 new:4 solitonic:1 acknowledgments:1 satisfy:1 full:2 respectively:2 here:8 desired:1 ansatz:12 sinh:2 berkeley:1 represented:1 consideration:2 sine:1 equations:9 z1:6 change:3 ωa2:13 obtained:3 search:1 nayak:1 dα2:1 institute:1 study:1 ignoring:2 kubo:1 periodic:1 action:8 decouple:1 identification:1 requiring:1 namely:1 eiφs:1 swanson:1 maldacena:4 talon:1 yitp:1 bobev:1 r2µ:1 univ:1 unit:1 virasoro:4 use:2 takes:3 working:1 prove:1 quadrics:1 2πni:1 nonsupersymmetric:1 spiky:6 finally:1 next:3 comparing:1 linear:1 going:1 therefore:3 m2:1 det:2 type:17 bethe:2 more:7 flat:1 bulgarian:1 duality:3 becomes:1 operators:6 dressing:2 noncritical:1 vi2:2 berlin:1 correspondingly:2 proceed:1 particular:11 known:3 cases:2 hold:1 potential:4 must:2 account:2 valued:1 eiω1:2 βr:2 eiω2:2 rν:3 ωi2:7 oscillator:2 theories:3 reproduce:1 remain:2 values:1 achieve:1 following:15 nlin:1 keisuke:3 example:2 numbers:2 asymptotic:1 beisert:1 give:1 kruczenski:3 states:5 αdt:1 cartan:1 want:2 arise:1 berenstein:1 2lp:11 r20:2 ryo:1 needs:1 end:1 viewpoint:2 s3:1 s2:1 holds:1 saito:1 s5:1 hofman:1 write:4 located:1 nontrivial:2 instead:3 valuedness:1 verlag:1 dσ2:2 sin:10 dσ1:2 tension:1 de:2 tempting:1 singular:1 replacing:2 after:8 aip:1 φr:1 r2a:1 hence:1 inst:1 discard:1 flows:1 choice:5 r2s:1 r2r:1 types:4 short:1 dα:1 θdϕ2:1 effective:5 computations:1 klebanov:2 chern:1 explicit:1 correspond:2 su:1 dilatation:1 si:1 so:3 sm:1 as10:1 polyakov:4 ra2:46 order:5 g11:2 dorey:3 interpretation:1 indeed:2 pointed:1 2πkr:1 interpreted:1 course:1 paper:1 including:1 rashmi:1 signs:4 y1:7 y3:4 y2:1 y5:6 its:1 before:2 supplemented:1 semenoff:1 group:1 how:1 chosen:1 interesting:3 fix:3 lm:1 gleb:1 coordinates:4 actually:3 hirano:1 µa:8 systems:20 lp:24 mail:1 dyonic:1 ηm:3 renaming:1 correspondence:8 non:2 yj:1 ym:3 yn:2 propose:2 ωr2:1 framework:2 effects:1 they:5 identically:5 now:5 yu:2 g0i:1 easily:2 term:3 finite:2 equality:2 2πr2:1 classified:1 identified:2 possibilities:1 anastasia:2 2a:1 turns:1 found:6 side:4 constraints:17 as2:1 differential:1 ei:12 directly:1 formulate:1 sergey:1 energy:14 reduce:3 idea:1 related:6 used:8 obtains:7 ourselves:1 combining:1 quantum:1 our:8 beyond:1 out:2 shown:4 u2a:1 rr:7 rs:16 is3:1 since:2 lagrangian:29 research:1 rosochatius:31 ra:42 rb:13 induced:4 forth:2 ri:23 rj:2 interpolating:1 sinh3:1 sinh2:4 turning:1 theory:16 panigrahi:1 diagonal:4 free:1 standard:1 clarify:1 completely:1 york:1 besides:1 put:1 approach:2 spradlin:3 okamura:3 juan:4 r4:6 incorporates:1 interaction:2 r0:4 r1:12 r2:11 r3:9 geometry:1 could:1 impose:2 ds2:3 hong:1 david:1 motion:10 turn:1 u20:1 gordon:2 δij:4 signature:2 consequence:2 view:1 first:10 iib:3 xi:6 xn:1 eines:1 symmetry:1 xm:6 third:3 variables:4 waves:1 geodesic:1 restrict:1 will:8 spinning:4 holography:1 done:2 another:1 frequently:1 carry:1 xs:1 precisely:1 unger:1 angular:6 size:2 given:14 ian:1 embeddings:4 rri:2 introduction:1 system:33 relations:6 constants:10 gpq:1 too:1 relationship:1 forini:1 academy:1 exactly:2 minahan:4 shinji:1 part:4 authors:2 x2:2 x3:5 sign:4 x6:1 ogura:1 bσ2:4 x5:4 target:1 showed:1 accordance:1 require:1 second:5 correlators:1 winternitz:1 ss:1 were:2 gives:3 powers:1 perturbative:4 rab:7 membranes:11 lads:3 dθ2:1 curves:1 randomly:1 winding:2 parameterized:1 close:2 constrained:2 reine:1 solitons:1 lie:2 4lp:25 angle:2 kluson:1 volovich:2 able:1 kamal:1 note:3 sciences:1 k0:2 generalized:2 analogy:3 coincide:1 heisenberg:1 lectures:1 begin:1 continuous:1 trace:1 dissertation:1 metrics:1 algebraic:1 beta:1 connected:5 c012:3 lagrangians:1 why:1 r32:1 doi:1 considered:3 arising:1 clear:1 cover:1 kr:1 yang:3 gagnon:1 mechanical:2 sigma:1 section:3 dot:1 quantity:1 isometry:2 show:3 supported:1 rotating:7 radii:2 gauge:24 solutions:24 keywords:1 substituting:3 magnons:15 d2:5 find:2 fifth:1 giant:21 x1:7 parameters:2 aω:5 tirziu:1 explain:1 dynamical:5 state:2 should:6 analytic:1 only:5 explicitly:2 arutyunov:3 subsection:1 integrable:37 circle:1 moser:2 g00:4 g01:1 g02:3 abelian:1 over:2 notation:2 get:1 membrane:34 overall:4 satisfied:6 nastase:1 ones:1 ϕi:3 progress:1 ϕa:4 already:1 prime:4 bas:1 babelon:1 fields:2 arxiv:44 method:1 common:1 through:1 fixed:2 bulgaria:1 searching:2 set:5 computed:1 achieved:1 j4:5 sitter:1 geometrical:1 j1:3 j2:3 j3:5 observed:1 see:3 radius:1 w2:1 w1:1 w0:3 recently:1 ansatzes:1 kinetic:1 tseytlin:7 worldsheet:3 θeiφ:1 nuclear:2 review:1 ratiu:1 supergravity:2 y4:3 αa:12 written:2 αb:4 µi:2 closed:6 between:7 αi:6 invariant:2 conditions:7 checks:1 µb:4 choose:2 various:1 terms:12 reproduced:1 wa:8 importance:1 however:2 wi:3 ωa:11 reproduces:1 δab:3 multiplier:2 amer:1 ja:9 gmn:8 both:1 cos:6 x2i:2 limits:1 grignani:1 similar:1 taking:3 according:2 quantization:2 fulfilled:1 rojo:1 connection:1 embedding:30 staudacher:1 expression:2 coincides:1 cos2:4 comment:1 ci:2 relevant:2 separation:1 cm:2 continuation:1 ca:12 corresponds:5 dimensional:4 concluding:2 bη:2 anti:1 lagrange:3 associated:3 indefinite:2 considering:1 pp:3 bartocci:1 described:4 symposium:1 addition:3 z0:6 three:5 been:4 ωa0:2 reduction:1 describes:5 iy1:1 iy0:6 dρ2:4 iy2:4 proposal:2 algebras:1 ls:4 direction:1 corresponding:11 benoit:1 sectors:2 concerning:1 subspace:3 σi:8 spectrum:3 c3:2 last:1 c1:1 presented:1 spin:16 present:3 c4:2 case:26 multi:4 conserved:5 aim:1 receive:1 while:1 replaced:2 many:1 exist:2 gubser:2 conformal:10 inspired:1 loop:2 yi:1 planar:1 heng:2 vi:7 metric:5 thus:3 them:3 ii:2 reads:1 dual:4 superconformal:1 result:2 different:4 φs:1 italy:1 chong:1 make:4 wound:1 same:5 angew:1 complex:1 several:3 subalgebra:1 george:1 development:1 independent:3 arrives:4 receives:2 again:1 i2:1 ri2:18 sym:5 hand:1 usually:1 v2:1 moving:2 infinite:2 changing:4 recent:2 center:1 charges:4 disappears:1 obviously:1 components:1 coordinate:4 model:2 magnon:13 dimension:1 usual:2 λs:18 mtheory:1 cosh2:4 proposed:3 being:1 mills:3 sofia:1 obtain:4 actions:1 λa:3 predicts:1 integer:1 momenta:6 rotates:1 speed:1 captured:1 adv:2 ads:6 nick:3 seems:1 other:6 lett:2 remaining:1 nucl:6 take:1 real:2 aspects:1 represents:2 read:3 evaluate:1 possible:2 harmonic:2 five:2 windings:1 background:7 gianluca:1 using:3 moreover:1 semiclassical:5 ns:2 like:6 semi:1 superstring:2 follows:2 reduces:8 admitted:1 separately:1 falqui:1 imposes:1 integrals:4 arbitrary:3 ξlm:1 spins:1 stringing:1 neumann:54 classical:12 rashkov:3 r42:1 some:2 ads4:15 understood:1 choosing:1 respect:1 ωb1:4 ωb2:4 neglecting:5 matching:1 nonzero:1 describing:1 dimensions:3 lead:2 grants:1 integration:2 marcus:3 connecting:1 eliminate:1 ns5:1 inrne:1 imply:1 bg:1 georgios:1 equivalent:1 martin:1 expansion:1 coates:1 accommodated:2 super:3 properties:2 von:1 z2:1 integers:1 constraint:7 suzuki:1 bozhilov:5 anomalous:3 dependence:1 o:2 compatible:1 ensure:1 ca2:9 mixed:1 worldvolume:2 yasui:1 reproducing:1 perelomov:1 considerations:1 helgason:1 presence:1 previously:1 into:10 obtaining:1 bound:3 vicedo:1 rb2:8 down:4 remarks:2 appropriate:2 references:1 operator:1 bosonic:1 valentina:1 hep:42 additional:1 springer:1 there:3 u0:1 long:1 class:4 dispersion:2 ci2:2 quadratic:2 way:1 hooft:1 exceptional:1 was:14 gij:2 chu:1 function:1 complete:1 form:6 multispin:1 brane:2 but:4 back:3 sun:1 level:1 davide:1 rαγ:2 us:14 ur:1 ωi:8 liouville:2 limit:9 rµ:3 ix2:4 problem:2 pm:1 ix6:4 ix4:4 expect:1 uber:1 spike:2 ab:4 constant:8 ad:1 separability:1 int:1 certain:2 universal:1 describe:2 zamaklar:1 general:7 dξ:4 single:6 initial:1 valentin:1 dβ:2 dγ:1 constructed:2 ni:2 compared:1 integrability:1 when:3 detail:2 multipliers:1 rewriting:1 field:8 interested:2 diego:1 papers:1 mathematics:1 pedroni:1 theor:3 frolov:5 conclusion:1 ads7:1 briefly:1 ads5:27 may:1 superposition:1 searched:1 θdφ2:1 a2:33 ωa1:11 russo:4 implies:5 coupling:1 dψ:1 harnad:1 physics:2 dτ:3 space:4 dσ:5 presenting:2 time:5 far:1 starting:1 strings:22 once:4 |
0704.3083.txt |@word represent:1 code:3 sci:1 capaccioli:1 lack:1 leads:1 pulsing:4 morphology:5 displaying:1 inverse:1 magnitudes:4 concerned:1 editors:1 environment:1 tail:2 alberto:1 include:1 brown:6 updated:3 weidemann:6 straightforward:1 far:3 buzzoni:16 rise:1 paramount:1 ultraviolet:4 traced:1 affect:1 cool:1 entire:1 roy:1 fragile:1 leave:1 udalski:2 limongi:2 quick:1 favoured:1 bertelli:1 ejection:1 l69:1 faintest:1 core:5 trend:1 consistent:1 mira:1 second:1 value:5 further:3 estimated:1 spectral:5 index:3 plays:1 reddest:1 rate:5 giving:1 sun:2 selected:1 lookback:1 brief:1 agrees:1 above:2 method:2 pioneering:1 evolving:1 full:6 escaping:2 lee:2 mem:1 galaxies:21 compilation:1 even:3 component:1 indicator:1 leo:3 mnras:2 reported:1 tracks:2 objects:2 groups:1 excess:2 alone:2 ratio:2 along:7 quite:5 supplying:2 extreme:2 obtained:1 spite:1 suitably:2 involved:1 study:3 ngc:4 experience:1 bulges:1 extremes:1 formation:1 conveniently:1 narrow:1 via:2 apr:1 requiring:1 natural:1 young:1 apj:14 residual:1 decrease:1 names:1 welch:2 total:2 unit:3 plot:7 asymptotic:1 would:2 finally:1 occupying:1 comparing:1 therefore:4 m3:2 taken:2 exhaustive:2 type:2 theoretical:6 diagrams:2 more:6 loci:1 populations:2 successful:2 envelope:4 problem:1 ate:1 ranzani:1 labelled:5 particular:1 known:1 ege:1 cases:1 effort:1 must:1 abundance:1 sample:3 account:1 dwarfs:2 praesepe:1 work:1 rood:4 vs:2 values:1 ms:3 making:1 example:4 claim:1 compare:1 brocato:1 challenging:1 figure:8 process:3 allowed:1 naturally:2 high:3 unbiased:1 minimum:1 recognized:1 sense:4 ifmr:6 axis:1 end:2 ocker:2 provide:1 discussion:5 globular:7 feature:1 recovers:1 chemical:1 very:1 sixties:1 elliptical:12 bressan:1 parameter:3 galactic:7 undergoing:1 after:4 derived:2 confirmed:2 diagram:2 mcore:2 horizontal:3 data:1 types:2 short:1 advocated:1 outline:1 effective:3 resemble:1 ss:1 6th:1 schneider:3 correspond:1 so:6 decreasing:1 every:1 order:1 wind:2 evolutionary:4 help:1 over:1 displayed:1 osservatorio:1 produced:1 thermal:6 pulses:2 existence:1 its:2 galaxy:17 cantiello:3 group:4 located:1 jacoby:3 interesting:1 masses:5 redshift:1 hot:5 actually:3 late:2 production:1 systems:5 fade:1 inaf:1 clusters:9 main:3 might:2 overcome:1 yi:4 eventually:2 cen:1 processes:1 framework:2 ferguson:3 acta:1 locus:1 matched:1 oemler:1 easily:1 alez:1 brightness:1 fully:4 intervene:1 identified:1 events:1 rising:1 calibrations:1 referred:1 fairly:1 bump:1 series:1 energy:1 related:1 literature:1 increases:1 expect:2 entering:1 year:1 substantially:1 our:3 unexplained:1 event:1 out:2 shown:2 ejecting:1 since:2 massloss:1 acting:1 dominated:1 reader:1 buson:2 squares:1 issue:1 integrated:5 red:2 ree:1 asp:1 theory:2 mechanisms:1 surveys:1 free:1 standard:4 sdb:2 imaging:1 estimate:1 beginning:1 publication:1 hubble:1 unresolved:2 cosmic:1 demarque:1 place:2 massive:1 bologna:1 consequence:3 baltic:1 already:1 morgan:1 striking:1 variables:1 number:1 will:1 pop:2 specifically:1 directly:3 reached:1 open:3 size:1 feeding:1 given:1 nebulae:3 indicate:1 introduction:1 leading:1 least:1 their:5 cooling:2 intermediate:6 observations:3 white:5 especially:1 final:6 inner:1 kaluzny:2 shell:1 fraction:2 mostly:1 distribution:7 park:2 hui:2 optical:3 gyr:7 apjs:2 branches:1 pne:5 than:1 population:6 peaked:1 observed:6 double:1 namely:2 probe:1 venture:1 tonry:3 providing:2 lick:3 sees:1 superwind:1 fluctuation:1 curves:2 comfortably:1 need:1 seen:1 constrained:1 any:4 accounted:1 iben:8 paths:2 relationship:4 regime:1 efficient:1 imf:1 self:1 connell:5 histories:1 onset:1 instance:3 empirically:1 forming:1 channel:1 blue:5 established:1 track:2 correlation:2 reach:1 most:4 involving:1 bolometric:3 preliminary:1 phase:8 assessed:1 singled:1 astro:1 observation:2 considered:1 clear:1 sometimes:2 stronger:4 definitely:1 gyrs:1 velocity:1 constrain:1 left:3 typically:2 fact:3 planetary:3 phenomenon:2 bertone:1 text:1 detection:1 supported:1 infrared:4 mg2:3 colors:2 relation:7 threshold:3 ssps:1 decade:1 impact:1 giant:2 based:3 parameters:2 title:1 merger:1 less:1 enough:1 should:3 virgo:4 black:1 raising:1 rich:5 constant:1 local:6 ser:1 tracers:1 wide:1 morphological:3 ssp:3 nearly:1 closely:3 report:1 during:1 ellipticals:6 evolution:16 places:1 luminosity:8 arxiv:1 predicted:1 analytical:1 identify:1 mtp:1 view:2 body:1 set:4 computed:1 reference:1 burst:1 physically:1 epochs:2 ara:5 see:10 sed:4 result:1 enhanced:4 best:1 subject:1 preparation:1 vertical:1 extragalactic:1 ostensibly:1 nuclear:2 review:1 nebula:1 outside:1 between:8 approach:3 available:1 comparable:1 wd:1 deployed:1 parent:1 importance:1 w00:2 however:1 jr:1 poorer:2 efficiency:1 hypothesis:1 arnaboldi:1 extent:1 relying:1 both:1 region:2 barely:1 according:5 against:1 display:2 sensitive:2 admit:1 contribution:4 whole:1 σv:1 nearby:2 among:5 relevant:6 timescale:1 point:1 color:4 overview:1 environments:1 associated:1 li:1 considering:1 better:2 strong:1 tuning:1 basis:2 three:2 been:4 quickly:3 isochrone:1 much:2 expected:1 ph:1 outliers:1 pn:15 fig:10 firm:1 life:1 arises:1 through:2 shortward:3 cosmological:1 modelling:1 bulk:1 external:2 evidence:2 reddening:1 case:7 infared:1 solid:2 plain:1 originate:1 empirical:4 ais:1 lesser:1 substantial:1 dorman:8 dwarf:3 resolved:2 detailed:1 unitary:1 vol:2 thus:1 surprisingly:1 surface:1 ii:1 cluster:4 bias:1 ciardullo:1 globulars:1 convection:1 helium:1 carraro:1 different:4 italy:1 pecci:4 connection:2 same:1 fading:2 member:1 potentially:2 arguments:1 bands:1 castellani:3 several:1 composition:1 higher:3 evolve:1 yoon:2 complemented:1 effect:1 hand:1 constraining:1 delicate:1 fornax:2 tune:1 fusi:4 early:1 off:1 scenario:3 database:2 variety:1 well:1 roughly:1 analysis:2 temperature:5 position:1 model:2 binaries:1 latter:1 latest:1 linked:1 increasingly:2 composing:1 reviewed:1 astronomica:1 distant:2 predicts:1 spectrophotometric:2 davidsen:1 note:2 density:1 smith:1 fitting:1 weiss:3 simple:1 rgb:2 other:1 spirals:1 extensive:1 match:2 real:1 around:2 represents:1 big:1 astronomico:1 upturn:6 cruz:5 greggio:2 deployment:2 average:1 variants:1 apart:1 loss:9 pertinent:2 like:5 lost:1 interestingly:1 specific:2 steps:1 output:1 works:1 therein:1 sketch:2 right:3 old:4 often:1 tornamb:2 sequence:6 phenomena:2 back:1 settles:1 indirect:1 guess:1 matching:2 provided:1 scale:1 lead:1 broad:3 though:1 per:4 critical:1 bowers:2 demonstrated:1 limitations:1 conference:2 peel:1 bl:2 sweigart:1 aj:3 disappeared:1 stellar:21 interpretative:1 found:1 post:7 properties:3 panel:4 about:5 extension:1 constraint:1 tracing:1 completing:1 discussed:1 o:7 range:6 plus:1 reimers:3 prevailing:1 soc:1 burning:2 presence:1 into:1 steady:1 due:3 assess:2 m32:1 references:2 strip:1 vitense:1 ellipse:1 log:1 few:2 assumed:1 support:1 initial:3 long:3 dispersion:1 raimondo:1 detectable:1 ehb:5 low:6 stars:34 astrophysics:1 synthesis:2 complete:1 some:3 regard:2 but:1 ford:1 volume:1 illuminating:1 quiescent:1 solar:4 hb:22 salpeter:1 line:1 sdo:2 featuring:1 illustrative:2 he:1 assl:1 evident:3 characteristic:1 inside:1 uv:20 up:4 below:1 minor:1 spectroscopy:1 stragglers:1 stages:2 called:5 strongly:2 ohm:1 hotter:2 contributors:1 defined:2 metal:7 abstract:1 myr:1 corradi:1 deep:2 general:2 ap:1 kimble:2 lived:1 surveying:1 lifetime:2 gonz:1 physical:1 again:2 compared:3 puzzling:1 no:1 dashed:1 when:1 detail:1 tight:1 conditions:1 branch:3 principle:1 poor:3 picture:1 star:4 models:2 benchmark:1 emission:4 metallicity:6 important:2 astronomy:1 hyades:1 structure:1 suffers:1 implies:2 longer:1 corresponding:2 age:1 curve:1 agb:21 governed:1 chiosi:2 itself:1 implied:1 mass:32 time:4 renzini:14 nuclei:3 validation:1 starting:1 original:1 representative:1 |
0704.3084.txt |@word replacing:1 dbi:2 katz:5 gs:5 consider:5 gv:6 global:4 contino:1 results:7 existing:1 illustrated:1 scalar:2 edu:3 follow:1 gm:4 adjustment:1 contributions:5 weakly:1 localized:3 compact:1 particles:1 depend:1 calculate:6 re:1 combined:1 involve:1 tr:6 extraneous:1 hirayama:1 cumbersome:1 those:2 th:18 stable:1 analogous:2 include:1 worth:2 divergent:1 eiq:2 digit:1 supported:1 string:12 straightforward:1 mn2:1 rise:1 conditions:7 choice:3 veronica:1 witten:2 ultraviolet:2 sonnenschein:1 fall:2 affect:1 difference:2 exact:1 condition:3 identity:1 entire:1 cnm:2 immediately:1 evaluation:3 particular:2 weinberg:1 solution:3 erlich:3 large:22 babington:1 vector:37 gµν:2 demonstrated:1 indices:1 relation:1 noted:1 configurations:12 application:1 work:3 calculable:2 consistent:9 lightest:15 prediction:5 approximation:4 zero:2 perspective:1 surface:2 qualitatively:1 cft:8 estimated:3 expressions:1 tev:5 linear:1 even:6 employ:1 what:2 errors:1 appear:4 ψn:5 section:8 offsets:1 near:1 expressed:2 d3:1 current:10 consistently:1 axial:21 mv:5 above:3 new:2 coordinates:3 acknowledgments:1 satisfy:4 sugimoto:16 led:1 behavior:3 respectively:2 here:2 lep:1 following:1 explore:1 mev:1 them:1 governing:2 separation:4 meet:1 directions:4 ratio:1 along:9 quark:6 equations:6 appears:1 change:1 rold:1 obtained:4 antisymmetric:5 study:6 studied:2 reason:1 experience:1 leaving:1 suggests:1 periodic:1 procedure:1 nelson:2 action:13 resonance:7 narrow:1 spacetime:2 plotted:1 joshua:1 ψm:1 via:2 useful:1 family:1 extra:5 hsu:1 natural:1 scaled:1 dxν:1 evans:3 issue:1 apply:1 propagators:2 unit:2 renormalization:1 flavors:3 derivatives:3 use:1 asymptotic:2 would:8 tuominen:2 positive:5 nonsupersymmetric:1 contains:2 ψv:21 negative:4 next:3 scenarios:3 few:3 nucl:3 derivation:1 prey:1 therefore:1 qcd:17 taken:4 generators:1 yamawaki:2 metric:9 reflects:1 more:5 sort:1 introducing:1 son:3 constructed:1 jµa:4 duality:3 becomes:4 dxµ:1 apparent:1 curvature:1 correspondingly:1 normalized:3 charged:1 known:2 iii:2 easiest:1 must:5 fan:2 ii:3 account:3 join:1 gregoire:1 avoiding:1 equation:3 fµν:13 det:4 theories:5 reproduce:2 suggestive:1 minimum:1 values:2 codimension:1 canonically:2 under:8 example:3 decoupled:1 ma1:1 compare:1 challenging:1 abelian:1 lives:1 expanding:2 purposes:1 generically:5 kruczenski:2 states:7 sphere:5 karch:2 lorentz:2 numbers:1 allowed:2 δmn:2 tan:1 artificially:2 simple:1 g2:1 bando:2 notation:1 provide:3 s2:2 discussion:2 breaking:20 williamsburg:1 feature:2 s4:2 write:1 how:1 varies:1 lift:1 pure:1 ordinary:1 parameter:36 profile:3 counterterms:1 de:2 description:1 fv:1 transforming:1 demonstrates:1 philosophy:1 derived:1 hong:1 consequence:1 produce:1 deviates:1 wave:1 data:3 fm:6 constants:16 man:4 included:1 realized:1 lhc:1 four:8 higgs:2 light:4 chern:1 lines:4 correspond:2 su:20 rather:2 precise:1 so:13 increasing:2 allow:2 decreasing:1 deconstruction:3 parameterizes:1 yankielowicz:1 order:8 terms:12 hashimoto:1 restriction:1 least:1 interpretation:1 dx:2 murayama:1 correlation:1 hierarchy:1 indeed:2 over:13 eqs:1 vary:2 expects:1 cohen:3 years:1 gauged:4 paper:1 including:1 left:1 existence:2 kinetic:5 still:1 excitations:1 its:3 earlier:2 derive:2 group:8 render:1 decay:21 energies:1 interesting:5 masses:17 solving:1 boson:1 better:1 degrees:1 fig:19 derivative:1 hidden:1 might:1 cacciapaglia:1 supersymmetry:1 correspondence:5 guralnik:1 non:10 good:3 peskin:6 condense:1 combination:1 severely:1 gauging:1 introduce:1 anticipated:1 break:2 process:1 ls2:2 effects:3 they:5 singularity:1 now:2 discuss:2 possess:1 maldacena:1 represents:1 term:6 holographic:18 dirac:2 2r:1 2s:9 ofer:1 always:1 identified:2 possibilities:2 realistic:1 magnitude:2 mode:2 radial:7 found:6 2n:2 higher:6 traces:1 side:5 constraints:3 heavy:5 square:1 4πr3:1 map:1 hadronic:3 sanz:3 energy:6 kaluzaklein:1 related:5 a0µ:1 used:2 terning:3 expect:1 sketched:1 quantum:2 our:12 eq:27 out:1 shown:2 termination:1 matrix:2 rr:1 space:3 furthermore:1 since:6 rev:18 projected:1 viability:1 increase:1 may:9 m2n:1 hill:2 induced:5 ref:15 math:2 predicted:1 foundation:1 3u:2 after:1 mρ:1 theory:24 interactions:4 dietrich:2 mechanisms:1 diagonal:1 free:5 standard:3 small:1 approaches:1 formation:1 techni:4 usual:1 dω4:1 randall:1 estimate:3 generate:1 temperature:1 definition:2 pairs:3 dirichlet:3 hamed:4 chiral:15 r3:22 geometry:8 widths:1 could:1 area:1 ds2:1 success:1 rept:1 local:2 motion:10 turn:1 length:1 anti:2 signature:2 corrections:8 onto:1 adjoint:1 first:5 rooted:1 symmetry:31 striking:1 relate:1 subtlety:1 powerful:1 number:4 technipion:1 restrict:1 georgi:1 set:7 approximately:2 another:2 calculational:1 precisely:2 size:4 dispersive:1 πr:2 given:11 πa:9 oneparameter:1 similarly:5 introduction:1 leading:2 top:1 system:10 relations:3 grow:1 1a:1 their:11 returns:1 1b:1 rates:2 too:2 calculations:1 wrapped:1 ukk:53 electromagnetism:1 final:1 recovered:1 fermions:5 grant:4 relationship:2 estimates:1 tool:1 exactly:1 debate:1 accurately:1 electroweak:26 anµ:6 part:3 branches:5 than:7 coefficients:1 reflection:2 distance:2 determines:1 unfortunately:1 showed:1 require:1 dω24:3 erdmenger:1 correlators:1 regulator:4 nevertheless:1 determined:4 were:6 negatively:4 gives:2 powers:1 distinguished:1 lowest:1 ansatz:1 symmetries:4 ψan:9 rewrite:1 generation:1 turned:3 spectrum:8 yielding:2 normalization:1 parameterized:1 further:1 need:2 seen:1 seem:1 dynamics:5 constructions:1 realm:1 depending:1 vµn:8 studying:3 latter:1 gravity:3 mechanism:1 primed:1 note:5 deconstructing:1 potential:1 take:3 green:1 accuracy:1 spectral:1 begin:1 differences:1 unless:1 fundamental:2 probed:1 condensate:2 systems:1 effective:1 hirn:2 m2an:7 most:5 eaten:2 representation:4 ψa0:16 transverse:2 segment:4 class:1 xµ:3 give:1 especially:1 surprising:2 considered:2 calculated:4 antipodal:5 implications:1 takeuchi:6 µu:1 points:2 principle:1 vµ0:2 pattern:1 quadratic:3 technicolor:29 physics:5 sum:13 techniquarks:3 quantity:2 sector:3 walking:1 regulated:1 show:3 probe:2 sites:2 discovered:1 miwa:1 minimizing:2 gauge:30 solutions:5 d8:100 d9:1 d6:3 d7:1 d4:29 3t:2 find:12 boundaries:2 q2:5 based:7 quoted:1 parameters:3 varied:1 piai:2 written:1 negligible:1 should:1 only:7 version:3 candidates:1 ambiguity:1 postulated:1 integrate:1 harvey:1 circle:8 kutasov:1 kaluza:5 hope:1 do:3 move:1 temporarily:1 gev:3 klein:5 get:1 approximate:1 winters:2 express:1 aharony:2 satisfied:1 pions:2 aim:1 cannot:1 christopher:1 closely:1 marandella:1 antonyan:1 du:9 ds:2 dq:1 normalizable:7 extract:1 contributes:2 fields:12 arxiv:40 fixes:1 summary:1 twice:3 agrees:1 common:1 ascertain:1 cdc:1 fixed:4 doublet:1 ignored:1 dilaton:2 captures:1 computed:1 physically:2 sitter:1 ends:1 up:5 observed:1 see:3 individual:1 college:1 result:8 eliminating:1 sundrum:2 discussions:1 backreaction:1 aan:4 satisfies:2 encouraged:1 satisfying:1 qµ:2 tensor:1 intersecting:1 ways:2 subsequent:1 review:2 supergravity:1 artificial:1 symmetric:8 favor:2 enough:3 classes:1 features:1 between:12 call:2 boundary:24 approach:7 ivµ:1 available:1 mateos:2 comparable:1 recently:1 reproduced:1 extend:2 m2v:15 wm:4 attention:2 weak:1 however:9 wang:2 vanishing:2 definiteness:1 fluctuations:2 reappears:1 configuration:17 suppressed:2 thank:1 suggested:1 both:8 essentially:1 outcome:1 last:3 limits:2 many:1 taking:1 hence:2 aa0:4 called:1 april:1 connection:1 lattice:2 dated:1 context:3 contribution:8 expression:2 fix:1 experimental:1 otherwise:1 detailed:1 stretches:1 relevant:1 groups:1 point:5 appeared:1 m4v:1 asymptotically:1 period:1 dimensional:9 csaki:4 sakai:16 adaptation:1 spans:1 away:2 leads:2 respect:6 branes:30 decreases:1 strong:4 collider:1 hadrons:2 decoupling:4 marc:1 addition:4 trajectory:1 πv:8 radiative:1 due:3 been:4 quickly:2 int:1 yao:1 much:1 slowly:1 z2:1 interest:1 expected:1 transformed:1 ph:22 anomaly:1 mary:1 partial:1 ls:2 techniquark:1 direction:3 describe:1 corresponding:1 antiperiodic:1 quantities:1 designed:1 cheng:1 precision:8 agashe:2 bulk:6 gan:7 sdbi:1 observe:1 understand:1 vµ:6 prescription:1 worked:1 careful:1 present:5 case:7 uehara:1 solid:2 yreg:7 value:7 transformation:1 will:13 while:6 m2kk:1 replaced:2 pilo:2 reliably:1 promising:1 au:2 gubser:1 endpoints:3 couplings:6 loop:2 va:1 klebanov:1 larger:5 orientation:1 coupled:2 phenomenological:5 refs:7 thus:2 surprisingly:1 vn:3 iv:2 disappointing:1 comparing:2 confining:5 jvµ:1 ewsb:6 motivated:2 fermion:1 currents:2 compactified:1 different:2 perhaps:1 propagation:1 generic:5 suggest:1 make:1 lett:11 same:6 any:3 parts:1 carone:2 myers:2 several:3 difficult:4 independent:1 calculation:2 extended:1 infinity:4 numerical:3 upon:1 hand:7 v0:2 g2n:1 phy:3 strength:1 v4:2 purpose:1 decouple:4 changing:1 invariance:3 expand:1 recent:1 lower:1 fourier:1 off:1 modes:37 keeping:1 minimize:1 studies:1 kirsch:1 well:4 roughly:1 analysis:2 picks:1 components:1 sets:6 coordinate:7 quantitative:1 model:46 paradigm:1 dimension:9 subgroup:6 just:1 tip:1 yee:1 obtain:5 vanishes:1 infeld:2 sources:5 identify:2 thanks:2 predicts:1 spherically:1 flavor:2 previous:1 adv:2 rapid:1 ads:8 infinitely:1 scales:2 seems:2 except:1 sometimes:2 signals:1 source:6 interested:1 extends:2 location:2 born:2 5d:4 heavier:1 remaining:3 momentum:1 varying:2 sannino:3 around:3 rules:2 phenomenology:1 sums:2 possible:2 corresponds:5 test:1 increases:3 makes:1 background:3 convenient:2 confined:1 using:8 stephanov:3 disadvantage:1 theor:5 appearing:1 like:8 particle:2 technirho:1 systematically:1 follows:7 da:1 pokorski:2 translates:1 ignore:2 benefit:2 transform:1 either:2 experimentally:1 simply:4 tower:3 topologically:1 stretched:1 because:3 old:1 often:1 successfully:1 some:4 sensitive:2 self:1 understood:4 growth:1 brodsky:1 proper:1 little:1 diagonalizing:1 alternates:1 fπ:3 scale:18 dvali:1 dimensions:3 lead:1 bottom:1 resonances:34 avoid:3 quarks:6 mesons:2 when:3 does:2 decomposition:5 eliminate:1 dimopoulos:1 prog:2 three:1 minimal:2 refer:4 measuring:1 gluons:1 denominator:1 run:1 plot:1 polyakov:1 equivalent:1 each:1 agreement:3 expansion:1 interval:1 notably:1 broken:1 although:5 become:1 described:3 wacker:1 properties:4 hadron:1 takes:1 a1:1 about:2 actual:1 extension:2 simplify:1 freedom:2 discussed:2 o:1 reduced:2 nonvanishing:2 stretch:2 plus:1 act:1 gv2:6 introduced:1 goldstone:1 raised:1 eφ:1 convergent:3 previously:1 noting:3 into:6 integral:1 bound:3 nsf:3 predictions:2 accommodate:1 pair:2 appropriate:1 right:3 u8:1 shock:1 qν:2 operator:1 proportional:2 pomarol:2 physical:3 notion:1 hep:40 additional:10 dimensionful:1 jhep:5 assumed:1 support:2 there:8 mkk:11 u0:52 u3:1 noticed:1 doing:1 jensen:1 describes:1 bosons:3 low:3 way:3 hooft:2 was:4 propagator:3 opposed:1 function:19 reece:1 complete:1 form:4 phenomena:1 adjusting:1 brane:37 jun:1 but:5 neutral:2 construction:1 aµ:14 delta:3 contractions:1 truncation:1 summing:1 made:2 compute:1 versions:1 whether:2 minkowski:2 gravitational:1 uv:3 bounds:2 us:1 holographically:1 kk:5 limit:14 demonstrate:1 problem:3 define:1 similar:5 clear:2 strongly:1 separated:1 ab:3 associated:3 factor:1 defined:7 abstract:1 contribute:2 determinant:3 covers:1 general:1 arkani:4 single:2 exist:1 together:2 fashioned:1 av:9 yanagida:1 moves:1 kugo:2 πgs:1 again:2 functions:5 completeness:1 nm:1 dotted:2 no:6 teramond:1 fixing:2 deconstructed:5 generally:2 detail:1 nf:14 arctan:1 field:9 other:6 grojean:3 details:2 branch:4 brings:1 department:1 massless:2 nice:1 alternate:1 elements:1 simons:1 truncate:2 separate:1 models:31 finite:3 problems:2 includes:1 william:1 a0:3 important:1 track:1 allowing:1 suppression:1 observables:5 variable:1 sides:2 structure:2 evaluates:1 building:1 constant:9 coupling:4 pion:7 fπ2:7 assume:3 typically:1 dτ:2 required:1 dq2:1 rule:2 original:2 confinement:8 mass:5 fact:1 stringy:3 serious:2 4d:3 tube:4 once:3 |
0704.3085.txt |@word neighbors:2 slope:1 polypeptides:56 consider:2 chain:8 limited:1 caused:2 global:4 dynamic:1 results:39 ala:2 four:1 entropy:6 grateful:1 go:2 sci:5 expressions:3 contributions:4 devoted:1 increase:9 c0:6 const:1 calculate:3 paris:1 linder:1 technique:1 should:2 finally:1 program:1 fischer:1 those:11 th:5 under:1 stabilizing:1 include:1 heraeus:1 worth:1 maximum:4 case:1 supported:1 very:2 frequencies:1 conditions:1 wave:1 extensively:2 ical:1 every:1 difficult:1 experimentally:3 difference:7 treating:1 leads:2 europhys:2 steeper:2 vibrational:1 level:3 experiencing:1 gibbs:1 guo:2 solution:3 t0:10 laue:1 leave:1 solid:8 vector:1 excellence:1 esi:1 small:2 biological:1 anal:2 referred:2 chipot:1 phillips:1 smaller:2 force:15 villa:2 10b:3 10a:5 direct:1 zb:6 feasibility:1 grant:1 second:12 evaluated:1 substituting:1 statistically:2 further:3 dynamics:13 acid:33 lipids:2 canonical:1 residue:2 established:4 what:1 appear:1 brackets:4 section:5 expressed:1 3i:2 3n:1 establishes:1 lifshitz:1 new:4 increasing:1 consisting:20 thin:4 coefficient:2 agreement:3 lee:2 haberland:1 exchange:1 respectively:17 even:1 proc:4 here:6 atoms:8 water:2 radicals:1 explore:1 objects:1 possibility:1 based:5 strong:1 equations:4 change:5 obtained:45 samuelsson:1 institute:2 study:12 larger:4 allows:3 commonly:1 amount:1 shakhnovich:1 domains:1 resonance:1 studies:3 fitting:9 via:1 scales:1 apr:1 understanding:1 deals:1 ls:1 private:1 logarithmic:1 fournier:1 decrease:1 summation:3 apply:3 curve:2 total:11 establish:3 linearly:2 plot:21 use:14 john:1 func:2 sharper:1 predictions:3 next:1 discrepancies:3 process:2 linear:5 ψi:6 therefore:15 vi:2 taken:1 angels:1 theoretical:12 minor:1 petersburg:1 separated:2 lowering:1 treated:2 becomes:4 company:1 getting:1 corrected:2 validity:2 thompson:1 rigid:1 particular:5 known:2 cases:2 iii:6 md:43 polypeptide:138 stabilized:2 defines:1 plateaus:1 science:2 equation:2 work:8 mi:4 books:1 reviews:1 ack:2 fock:1 values:4 temperatures:12 mechanic:1 following:1 root:1 example:1 compare:3 weaker:1 wang:1 figure:1 biophys:4 calculation:7 organized:1 nielsen:1 states:14 effectively:1 covalent:1 minimum:5 performed:18 tab:6 arise:3 tal:1 sharp:2 r25:1 hydrogen:24 ratio:1 ilia:2 needs:1 andersen:1 verify:1 discussion:1 bonds:20 length:18 makes:1 far:3 sixties:1 rubin:1 fα:1 behave:1 fourth:4 nauka:1 simplifies:1 parameter:23 ensemble:1 circular:1 zimm:24 fs:1 description:9 max:1 earlier:3 derived:2 demanding:2 biophysics:2 barriers:1 tries:1 cambridge:1 data:3 grow:1 comp:1 becke:2 zui:1 outline:1 third:4 slightly:1 twisting:19 lines:10 correspond:7 parameterized:1 st:1 sk:1 lengths:5 cannot:1 so:1 allow:1 correlation:2 stewart:1 solov:18 counted:1 wind:1 integrated:2 breaking:1 developed:1 over:3 top:2 feature:1 russian:2 course:1 thermal:1 paper:23 london:1 looks:1 statistical:48 unfavorable:1 existence:1 kinetic:1 its:13 ular:1 features:1 perfect:2 chemical:2 spect:3 derive:2 group:1 fit:1 how:1 chosen:2 interesting:1 vicinity:4 decreases:5 gen:2 forms:6 window:1 degrees:15 systems:6 maxwell:1 mail:1 scheraga:4 main:1 decades:1 gles:1 overcome:1 eur:3 correspondence:3 tri:3 them:2 helical:4 greater:2 fragment:3 numerically:1 outlined:1 greiner:8 fig:76 introduce:2 landau:1 framework:15 they:1 half:1 oxford:1 impaired:1 rotation:1 discuss:3 nor:1 structural:2 biomolecular:1 represents:1 term:16 finite:1 electrostatic:1 stabilize:1 kink:1 characterizes:1 university:2 presented:1 proteins:4 βs:1 2d:1 good:2 magnitude:1 2a:1 2b:1 each:5 found:4 schellman:1 energetically:2 side:1 characterized:2 bond:6 homogeneous:1 int:1 differential:1 significantly:3 secondary:1 short:4 series:1 energy:64 journ:1 communication:1 principles:4 related:3 applicable:1 investigated:4 obtains:2 our:41 happen:1 transitions:3 extract:1 out:2 rt:1 living:1 shown:30 matrix:1 yakubovich:8 gradient:2 furthermore:1 since:6 squared:1 sotomayor:1 denotes:1 particles:1 collisions:1 bragg:24 investigation:1 hill:1 thermodynamic:1 denoted:3 squares:5 ref:18 ri:2 independence:3 shows:9 occurs:4 theory:18 interactions:2 equipotential:3 free:5 standard:1 difficulty:2 dependencies:4 proportionality:1 york:3 e0:3 shortest:1 rewritten:1 influences:3 definition:1 ms:1 fias:1 geometry:1 transition:89 feasible:1 motion:2 conducted:1 hence:2 neglected:2 βi:3 first:10 there:3 utilizes:1 manuscript:1 omitted:1 variables:1 vacuo:4 number:15 karas:3 ranges:1 set:8 done:4 another:3 semiempirical:3 thick:4 smit:1 open:1 illustrate:1 given:6 sheet:3 temperature:74 utilization:1 introduction:1 dft:10 eqs:6 smoother:2 system:32 construct:6 their:7 confirming:1 assumption:1 calculations:12 molecular:24 stimulate:1 final:5 williams:1 mentioning:1 assign:1 fraction:2 releases:1 asymmetric:1 moscow:1 continuous:1 rmsd:2 required:1 part:9 parr:2 simulate:1 nh2:5 absorbs:2 zhurnal:1 than:15 specify:1 dynamical:1 observed:1 viscous:1 determines:1 effective:1 shea:1 scrutinize:1 submitted:1 ranging:1 project:1 determined:5 str:1 were:28 sparrow:1 solely:1 russia:1 published:1 raman:1 ev:14 ripoll:1 acknowledged:1 ann:2 randomly:1 already:1 mcgraw:1 elsevier:1 zu:8 seen:14 clearly:3 seminar:1 relatively:1 acceleration:1 chem:18 computationally:2 zero:2 depending:2 responsible:1 ideas:3 note:5 instance:1 ideal:1 potential:30 build:2 asher:1 techniques:1 better:1 accuracy:9 closer:2 towards:1 beyond:4 normal:1 sets:2 molecule:2 braun:1 extending:1 boltzmann:1 regular:2 germany:1 irb:2 phase:87 coil:46 measured:3 subsection:5 involving:2 deviations:2 constructed:1 especially:1 kalmykov:1 considered:4 neighboring:3 calculated:53 partition:34 scholtz:1 schulten:4 order:9 peptides:2 yang:2 electrons:1 exp:7 kt:9 velocity:2 physics:6 sum:1 fact:8 favorable:1 triand:1 frenkel:1 show:5 text:1 random:41 scattered:1 garcia:2 infrared:1 area:1 attempts:1 gauge:1 nowak:1 isomeric:2 whitehouse:1 rapaport:1 fifth:4 rev:7 latent:13 parameters:29 fenn:1 written:1 either:1 terminal:4 being:4 only:16 black:1 helix:61 rich:1 factor:1 attained:1 partially:1 local:2 vmd:1 hope:1 represent:2 do:4 extent:1 peptide:2 goes:2 means:1 dependent:1 compiled:4 lehmann:1 de:1 expectation:1 wallin:1 define:3 ones:4 ϕi:6 words:1 shared:1 during:1 averaged:1 neither:1 alexander:1 liu:1 processes:1 henriques:2 textbooks:1 numerous:2 arxiv:1 factorization:2 method:21 network:1 reif:1 experiments:3 common:1 scott:1 fixed:1 scanning:1 alanine:94 art:1 reference:1 eaton:1 testing:1 up:2 relative:9 see:24 computer:2 radius:1 european:1 waldron:1 close:3 news:1 limiting:1 alternative:2 acquires:1 surfaces:4 phases:1 evaluation:2 capacity:41 interacting:1 fang:1 review:1 currently:1 tend:1 state:17 difficulties:1 various:2 correctly:2 between:16 boundary:11 reading:1 approach:49 knowing:1 terms:4 reproduced:2 zbn:2 arises:3 however:12 tobias:1 gratefully:1 helmut:1 key:2 demonstrate:1 analyzed:5 rapidly:2 configuration:1 31g:1 inertia:1 suggested:8 both:9 folding:2 roig:1 landscapes:1 region:6 vibration:1 according:2 against:2 energies:18 mev:1 planned:1 prabhu:1 uni:1 contribution:4 mean:1 expression:2 experimental:2 mechanics:26 ci:4 relevant:1 co:2 fields:2 characterization:1 overview:1 corresponds:13 willey:1 high:1 distinguish:1 coffey:1 consideration:1 woodruff:1 respect:7 factors:1 amino:113 ps:1 graphics:1 described:12 publishing:1 geometries:1 basis:9 would:1 suppressed:1 computing:1 ben:1 due:8 been:11 ai:2 describes:8 initiation:2 damping:2 basic:4 flexible:2 ph:1 hardly:2 walter:1 dots:2 andrey:1 corresponding:13 influence:2 formed:2 gas:1 question:2 gao:1 angles:20 derivative:1 last:2 general:2 present:20 applied:3 novel:2 frozen:1 defining:1 expanded:1 empirical:1 value:7 enthalpy:1 will:5 while:26 abrupt:2 intas:1 error:4 situation:1 characterizing:1 versus:4 studied:1 ciα:4 almost:2 characteristics:10 refs:4 thus:6 non:4 surface:8 iv:2 ii:5 characterize:1 reads:1 itself:1 concerns:1 indeed:2 maximal:8 protein:2 noi:1 acknowledgments:1 tomita:1 different:28 inc:1 etc:1 perform:3 large:4 granted:1 nanosecond:1 freeman:1 same:7 any:2 shifts:1 unity:1 complex:3 fizika:1 widely:2 proved:1 several:3 grows:1 higher:4 independent:3 used:24 imply:1 closest:1 comprehensive:1 numerical:1 effect:1 hand:1 usually:2 levels:1 purpose:1 angle:5 hartree:1 interested:1 humphrey:1 recent:1 numbered:3 lower:4 weakly:1 off:1 modes:1 l2s:1 nevertheless:2 changes:2 poland:1 nonetheless:2 well:2 commission:1 analysis:8 meng:1 academic:1 peculiarities:1 solve:1 does:5 dashed:3 model:8 plotted:2 left:4 kale:1 less:5 increasingly:1 lowest:1 pergamon:1 obtain:1 press:4 manifestation:2 underlying:1 identify:2 positions:1 differentiation:1 momenta:1 arctan:1 baldwin:2 yet:1 previous:2 visualization:1 freire:1 struct:2 density:4 hussein:1 wei:1 conclude:1 had:1 except:3 improvement:1 mann:1 lets:1 other:9 plateau:3 versa:1 natl:4 extensive:1 transformation:1 scientific:3 take:1 identical:1 bio:1 omission:1 dihedral:6 depends:3 evaluate:4 possible:8 increases:7 five:1 helicity:21 mol:1 macromolecular:1 using:40 advanced:1 prominent:1 loss:3 theor:1 necessary:1 like:3 particle:3 systematically:1 alternatively:2 qualitative:1 velocities:2 specific:3 index:3 b3lyp:5 follows:5 become:2 soft:1 essential:5 depend:2 brooks:2 deviation:11 because:12 methods:9 classical:3 lectures:1 loosely:1 minima:6 sensitive:1 growth:2 acad:4 table:3 happens:4 pronounced:2 vol:1 clockwise:1 describing:2 lead:2 bottom:2 broad:1 xie:1 prot:1 langevin:4 integration:1 per:1 pes:32 finkelstein:1 initio:8 equal:2 assuming:1 steps:1 fragments:2 subtracted:1 chains:11 demonstrated:8 refer:1 limitations:1 bahr:1 noise:1 reasonable:2 broadening:1 infinitely:2 conformation:31 interval:2 broken:2 step:4 wong:1 br:1 experimentalists:1 plots:2 nelson:1 subtract:1 properties:5 von:1 comparison:6 about:3 central:6 carried:1 world:2 most:2 column:1 freedom:15 discussed:6 dependence:20 o:1 simulation:6 dependency:1 range:9 important:8 trajectory:1 suggestions:1 introduced:4 zun:4 conformations:13 cutoff:1 soc:1 computational:1 thermostat:1 previously:4 unbounded:13 into:2 within:31 obtaining:1 functional:9 usa:5 three:4 cox:1 square:5 accounts:2 determine:3 proportional:1 gomez:1 rolls:1 theoretically:1 often:1 unambiguous:1 tenth:7 weight:2 comparing:1 assumed:1 initial:4 available:1 long:7 smoothing:2 width:3 ehb:5 low:2 stars:3 analyze:2 was:34 formation:3 suppression:1 function:54 underestimated:1 medium:1 form:6 quantity:1 fundamentals:1 opt:1 but:1 volume:1 heat:55 construction:8 atom:1 ioffe:1 line:6 ha:1 skeel:1 factorized:1 inverse:1 middle:1 consist:1 characteristic:3 inside:3 uv:1 molec:2 us:3 pess:17 critical:1 spectroscopy:3 planes:2 fluctuations:2 distribution:2 more:10 similar:3 called:1 distance:1 detailed:1 ac:1 ab:8 constant:5 ln:1 defined:14 certain:6 abstract:1 describe:5 am:2 resultant:1 single:9 proves:1 right:3 fiziki:1 simulations:40 accounting:1 formalism:9 internal:11 triangles:5 physical:3 ni:4 functions:2 compared:10 thermodynamical:10 no:3 biochemistry:5 eq:13 equilibrate:1 when:2 detail:6 handed:2 dichroism:1 field:14 book:1 papers:2 santoro:1 yov:18 ns:3 nv:1 conclusion:2 optimized:3 draw:1 denote:2 calculating:1 sons:1 models:3 ooi:2 preceding:10 center:1 variation:1 contemporary:1 dyer:1 scale:3 bounded:18 peak:11 additionally:1 structure:7 illustrates:1 individual:1 longer:3 calorimetry:1 vice:1 assume:1 starting:2 acids:80 kinetics:1 inset:2 corey:1 mass:4 fitted:1 time:8 qualitatively:1 n1:1 n2:2 4e:2 frankfurt:4 original:1 4a:3 |
0704.3086.txt |@word limited:1 dynamic:1 four:1 ginzburg:1 regularize:1 whose:2 under:9 translationinvariant:2 conjecture:1 every:19 convexity:3 harmonicity:2 school:1 calif:1 solution:1 herbert:1 convenience:1 vector:14 conductances:13 markov:2 unifying:1 coordinate:10 consistent:1 estimates:1 direct:3 approximation:2 second:3 sznitman:1 implemented:1 even:9 established:1 specification:1 above:14 new:1 increasing:1 κn:1 notions:1 here:5 path:3 interpret:1 obtained:2 property:1 study:4 economics:1 permit:1 quastel:3 fourier:1 projection:5 replace:1 total:1 univ:1 unit:2 derivatives:2 would:4 negative:3 giacomin:5 call:1 therefore:1 delmotte:3 curvature:1 berlin:2 reversible:2 annealed:6 must:1 springer:2 permits:2 work:7 cancellations:1 roof:1 rλ:2 temperatures:1 interaction:2 root:1 example:2 defer:1 impose:1 renormalization:1 give:1 preserving:1 degenerate:3 keep:1 unordered:1 absolute:1 end:1 feature:1 very:1 answer:1 deuschel:8 replacing:1 earlier:2 hence:4 law:17 meaningful:1 effective:1 green:1 correlation:1 restriction:6 interpretation:1 over:7 satisfies:7 before:2 monotonicity:1 fix:4 expectations:1 exhibits:1 clt:4 them:1 amenable:1 represents:1 each:12 side:6 mean:15 series:1 principles:3 conductance:6 used:2 t1:6 extract:1 zentrum:1 network:1 gradient:52 restricted:2 crucial:1 rz:2 rd:27 rf:1 rb:22 reader:1 ri:3 rj:1 varµ:1 linear:12 little:1 free:11 standard:6 admits:2 necessarily:2 kipnis:4 corrects:1 estimate:4 probab:8 onto:2 already:2 restrict:1 another:2 similarly:3 needed:2 perturbations:4 rates:1 observations:1 variational:1 centered:1 tool:1 somewhat:1 positively:2 approximations:2 normalizing:2 preparation:1 enables:1 perturbative:2 spectrum:1 seen:1 tells:3 genuine:1 convenient:2 latter:1 oriented:3 subjects:1 forces:1 indexed:1 object:1 boltzmann:1 regular:3 germany:1 phase:3 expound:1 observation:2 flow:1 vertices:1 points:1 principle:4 sidoravicius:1 sum:7 random:62 infrared:1 subtle:1 situations:1 coefficients:1 integrate:1 continuity:5 do:3 mixture:2 dk:2 dc:1 dz:6 dx:7 despite:1 dt:5 barlow:3 runs:1 covering:1 fields:28 κxy:14 thanks:1 reference:1 kolmogorov:1 depends:1 electrostatic:1 projections:1 w1:1 discussions:1 subject:5 said:1 draws:1 exponent:1 away:4 symmetric:4 simplest:1 approach:2 accord:1 wd:1 terms:3 extend:3 nature:1 durrett:1 restricting:1 weak:1 however:11 κb:23 topology:2 infinitely:1 variance:4 contribution:1 disappears:1 ease:1 presumably:2 directions:3 mathieu:5 basis:2 been:7 much:2 basic:1 bstract:1 ergodic:33 concerning:3 spin:1 ain:1 suppose:5 applies:2 appeals:1 endpoints:1 ii:1 characterize:7 make:2 drawback:1 several:1 grows:1 independent:2 percolation:3 hand:7 potentials:10 normalization:3 cycle:11 prescribed:1 weakly:4 inherit:1 nonconvex:1 jean:1 spencer:2 left:2 diffusions:1 just:2 assigned:1 identify:1 transforms:1 facts:3 enters:1 instance:1 regarded:2 eferences:1 belongs:2 easy:1 5b:1 dφx:4 advances:1 breaks:1 possible:1 unique:3 apart:2 specific:2 steps:1 schwarz:2 componentwise:1 www:1 right:4 deal:1 truncated:1 czech:1 dense:1 normal:4 kupiainen:2 asking:1 core:1 pose:1 constructive:1 shifting:1 properties:2 proceed:2 plug:1 t1n:2 anomalous:1 o:2 t1k:2 probabilities:1 plus:1 automatically:2 lieb:1 considerations:1 soc:1 statements:1 homogenization:4 rotations:1 bound:14 down:2 lies:1 wκ:2 rely:1 support:10 initial:2 transform:2 avail:1 physicists:1 way:3 was:6 form:14 denoting:4 heat:6 true:1 supp:6 inside:1 bounds:2 proved:5 qij:6 abstract:1 exist:4 annoying:1 check:1 olla:5 radically:1 no:21 generally:2 continuoustime:1 setting:1 role:1 test:3 nt:4 operators:2 picture:1 models:6 uniformly:7 rolling:1 longer:1 assume:3 interval:1 time:5 n1:1 neighbors:2 slope:1 concept:1 particular:4 brownian:4 focus:3 leads:3 roy:1 grateful:1 devoted:1 inverse:2 depend:1 environment:8 charge:1 elliptic:2 analogous:1 orthogonal:2 choice:2 anonymous:1 stays:1 exact:2 swapping:1 level:2 turns:2 magnen:2 henri:1 discrete:3 upper:1 says:1 measurable:5 spectral:3 appear:1 uniform:3 goes:1 principal:2 satisfy:2 understanding:1 alone:1 along:2 sobolev:1 institute:1 shift:20 studied:3 poisson:1 regardless:1 prefer:1 additive:1 prove:7 covariant:17 positive:9 permitted:1 handles:1 compactly:1 theoretical:1 introducing:2 distribution:3 eν:17 eλ:1 carus:1 cases:1 valued:6 modified:2 reviews:2 values:3 following:6 nearest:5 want:2 sense:7 allowed:1 verlag:2 tilt:26 discussion:3 dκ:4 write:5 resistivities:1 pure:1 ensure:2 map:2 product:12 may:12 applications:2 natural:5 whenever:4 lemmas:1 explicit:3 sj:3 so:22 representation:8 typical:2 words:1 schwartz:1 indeed:6 years:1 course:2 statistical:1 still:7 derive:1 group:1 thank:1 interesting:2 phy99:1 forms:1 τx:15 main:11 decades:1 correspondence:1 prime:1 non:24 views:1 introduce:2 scaling:27 eµ:41 superlinearly:1 now:6 discuss:1 developments:1 term:5 name:2 entirely:1 xǫ:1 domain:1 en:2 ei:1 ed:1 eg:1 ef:1 gaussian:24 eb:4 approximated:1 ev:2 shown:2 space:6 furthermore:1 gaussians:1 formula:6 shows:4 theory:17 sheffield:9 divergence:1 brooks:1 quite:2 california:2 org:1 language:1 transition:4 snell:2 motion:5 turn:2 first:10 origin:2 xk:3 xi:1 xn:1 question:3 variables:9 directly:1 carry:1 open:5 xt:8 size:1 given:10 ian:1 checked:1 1a:9 convention:1 gives:2 continuous:6 proving:5 kozma:2 x2:1 x3:1 x0:3 x1:4 x4:2 third:1 require:1 were:2 resistivity:1 ann:5 argument:8 generalization:1 say:4 any:13 converges:9 note:28 potential:13 take:4 formulas:1 begin:1 multiple:2 opposite:1 remarks:2 america:1 average:2 quantity:3 precise:2 show:13 functionals:4 discovered:1 spaces:3 adhere:1 fifth:1 ratio:4 state:1 analytic:1 only:17 explicitly:2 get:7 expectation:6 cannot:1 progress:4 closure:3 borrow:1 yield:1 kernel:7 connections:3 differentiable:1 concern:1 surfaces:1 satisfying:3 inequalities:2 definite:1 sites:1 between:3 reading:1 notice:1 fluctuations:6 analyzed:1 article:1 many:1 region:1 called:2 embedding:1 expression:4 comes:1 banach:1 among:5 color:1 learning:1 constant:15 ucla:1 direction:4 observe:2 careful:1 those:2 case:13 eix:1 invoking:1 eie:1 situation:1 eik:1 endowed:1 cluster:1 regularity:3 supremum:1 different:2 develop:1 coexisting:1 same:7 poincar:2 shifts:1 html:1 arguments:2 events:2 extended:7 trivially:1 edges:2 invariance:10 without:1 components:2 inability:1 model:8 dimension:2 being:1 when:5 valuable:1 torus:1 generator:11 seems:1 except:1 samples:1 republic:1 real:1 eigenvalue:2 replaced:1 sums:1 coexistence:1 using:2 adams:2 particle:1 stationary:1 sympos:1 moreover:2 intact:1 reasons:1 nonzero:1 provided:1 dimensions:1 ηx2:1 footing:1 langevin:1 dz1:1 dz2:1 content:2 refer:3 equivalent:1 ratios:1 eiφ:1 crossing:1 central:5 ηxy:7 obeys:8 neighbor:4 superlinear:1 berger:4 ηb:19 inclusion:1 unbounded:2 variable:4 references:1 operator:8 ηy:1 ηx:2 log:4 assumed:1 strictly:4 there:13 strict:3 low:2 lot:1 project:1 isoperimetric:1 regard:1 applying:4 ωb:1 strongly:1 certain:1 general:8 walks:7 gradients:8 ostrand:3 again:2 kavli:1 brydges:2 mathematik:1 field:27 valid:1 spatial:1 mathematics:2 massless:4 biskup:25 separate:1 vertex:1 important:2 bounded:15 perturbatively:1 represent:2 consider:10 caused:1 lack:1 follow:3 research:1 reasoning:1 mourrat:2 tq:6 tail:1 program:2 tj:12 th:4 stochastic:2 td:1 norm:7 straightforward:2 returning:1 far:1 translations:2 induce:1 corollary:7 reordering:1 fǫ:29 condition:20 resistor:1 large:2 small:1 past:1 zero:37 pass:1 further:4 canonical:1 what:5 section:1 localization:1 varadhan:4 version:1 sup:3 learned:1 acknowledgments:1 quenched:4 full:1 component:3 behaviour:1 berkeley:3 ggm:7 increments:1 inspired:1 allows:4 amount:1 stiffness:1 pick:5 action:1 uniquely:2 via:10 tightness:1 family:7 establish:2 conventional:1 takes:2 distinct:1 finally:2 ψt:2 characteristics:1 more:2 velenik:3 hoffman:2 varying:1 known:5 recall:5 equation:3 stated:1 suggestions:2 states:1 minimum:1 arise:1 information:1 needs:1 goal:3 rather:1 acts:1 hampered:1 maps:1 tǫ:2 algebra:3 φ2x:1 sect:13 exclusions:1 mixing:1 wiener:1 paper:8 scott:1 existence:1 its:16 picard:1 actually:5 absence:1 systems:2 might:1 good:2 yz:1 association:1 pc2:1 always:1 iff:2 inequality:4 2m:4 2n:1 1an:5 2h:1 characterized:2 referred:1 energy:1 hard:3 reduce:1 idea:1 finish:1 expect:3 gff:3 event:4 really:1 since:11 denotes:1 acting:1 dominated:2 dxdy:1 induced:2 issue:1 occurs:1 ast:1 reason:2 put:1 definition:15 consequence:6 probability:16 number:4 utilized:1 done:1 temperature:1 construct:3 assumption:2 shifted:1 immediate:1 part:4 translation:30 believe:1 diffusion:2 kind:1 dispensed:1 determined:3 fˆ:3 prescott:2 motivation:1 summable:1 affirmative:1 concentration:1 null:1 paths:1 depending:2 lim:3 self:1 reliance:1 generalized:1 towards:1 electric:1 measures:22 helffer:3 plan:1 significant:1 kj:11 ki:3 sometimes:1 coincides:1 countable:1 reflections:1 exp:6 physics:3 particularly:1 find:2 completion:1 indicator:2 integrable:6 notation:6 during:1 appeal:1 continuum:1 transitional:1 arxiv:2 remove:1 statist:1 set:16 sep:1 see:11 individual:1 ergodicity:3 dipole:1 conditions:8 recently:2 interfaces:1 attention:2 vanishing:2 iscussion:1 interface:5 ikj:2 encapsulate:1 both:5 last:1 lebesgue:5 previously:1 connection:1 context:5 pdf:1 arbitrarily:1 point:1 simple:11 asymptotically:1 dimensional:1 simply:2 throughout:2 pr:1 ensures:5 pt:3 due:2 laplacian:3 asymptotics:1 pj:3 marginals:1 empty:1 gas:1 covariance:10 gap:2 understand:1 demand:1 surveys:1 p1:6 exponential:1 ǫd:3 ǫh:2 empirical:1 while:8 harmonic:8 behavior:1 ǫz:6 ǫx:6 loop:2 unitary:1 vol:3 belmont:1 ready:1 xj:9 grant:2 belong:1 elevated:1 emphasize:1 literature:1 purpose:1 recent:1 lower:1 task:3 analysis:1 edge:7 intervals:1 questions:2 λj:1 conclusions:1 guaranteed:1 equicontinuous:2 theorem:28 guarantees:1 transformation:2 formal:1 semi:1 follows:14 translates:1 separately:1 yields:1 pointwise:2 mathematical:2 often:3 some:16 back:2 examples:2 ourselves:1 scale:3 integration:2 tends:5 proc:2 prob:1 inserting:1 hilbert:1 kozlov:2 most:2 involving:1 block:1 into:8 within:1 integral:8 nsf:2 appropriate:3 statistics:1 u1:24 specifically:1 borel:2 conditional:11 properly:1 line:3 characteristic:2 up:1 us:15 uk:2 uj:6 ud:2 2πz:1 similar:1 laplace:1 associated:3 defined:19 single:1 formalism:1 priori:1 department:1 revision:1 gross:2 problems:1 generated:1 vectors:4 ηx1:1 correlated:1 implies:12 algorithm:1 required:2 accumulations:1 notion:2 equivalently:1 implied:1 nash:1 requires:2 having:1 funaki:8 once:6 partial:2 results:6 proposition:3 contributions:1 compact:4 vacuous:1 uniqueness:2 critical:2 include:2 implicitly:1 electron:1 wishes:1 bounding:2 entire:2 notes:1 inspection:1 configurations:6 concluded:1 disordered:1 zd:47 sin2:1 jump:1 imply:3 substituting:1 notwithstanding:3 dynamics:2 index:3 plays:1 analogously:1 networks:1 henceforth:1 referees:1 multivariate:3 degree:1 commercial:1 desired:8 objects:2 remark:7 technical:2 larger:1 makes:2 boundedness:1 addresses:1 scales:3 integrations:1 scaled:1 use:5 refers:1 asymptotic:1 commun:6 remains:2 next:6 calculation:2 started:2 becomes:2 occurred:2 integrating:1 challenge:1 proof:28 control:2 borrowed:2 weaker:2 process:2 purposes:3 high:1 invoke:4 holds:4 pair:3 sin:4 stand:1 collection:1 inst:1 computations:1 light:1 element:1 lκ:29 dy:1 interpreted:1 mathematicians:2 including:1 spohn:23 mentioned:2 exclusion:2 decay:3 estimating:1 lu:5 inspecting:1 clusters:3 defining:2 delocalization:1 landau:1 realize:1 university:2 oleinik:2 sufficiently:3 l2:42 l1:6 disregard:1 constraints:3 subset:2 erisque:1 related:2 multicolored:1 static:1 measure:42 our:20 special:2 out:3 matrix:5 rel:4 lecture:1 suffices:5 math:9 marek:1 fluctuates:1 diagonal:1 completely:2 surely:1 monographs:1 backwards:1 geometry:2 times:3 length:1 isotropic:1 corrector:4 south:1 ntroduction:1 bijection:1 precisely:2 los:1 their:9 appl:1 final:1 boil:1 exactly:1 slides:1 zλ:2 limiting:3 claim:6 appealing:2 reproduction:1 distinguished:1 result:10 exhibit:2 symmetries:1 need:7 clearly:2 viewed:1 decomposing:1 concerns:2 lectures:1 plugging:1 definitions:1 delve:1 class:6 consequences:2 stronger:3 χd:1 χj:2 fact:17 supported:4 kitp:1 trivial:5 subtracting:1 based:6 lemma:46 inherited:1 local:4 equilibrium:2 means:5 aforementioned:1 thomson:1 processes:2 differential:4 qf:1 cycles:1 grad:1 exists:10 correlations:1 edition:1 finiteness:1 cole:1 nondegenerate:1 written:1 closed:2 invariant:26 boundary:3 interchangeably:1 wj:2 key:2 koteck:7 configuration:6 ker:1 hits:1 limits:1 taking:2 ellipticity:3 relevant:1 dominique:1 conclude:2 ca:2 cf:7 environments:2 walk:29 respect:5 lw:1 yau:2 cauchy:2 slowly:1 define:7 arises:1 corresponding:11 sufficient:2 subspace:2 finished:1 derivative:5 c2:2 c1:5 c0:13 expounded:1 present:2 semidefinite:3 subsets:1 value:4 will:40 almost:2 thus:10 site:1 dual:2 claimed:1 φx:21 φy:9 unity:2 parts:1 gibbs:30 finite:11 infinity:2 effect:1 brascamp:1 infinite:3 frequently:1 identity:1 nevertheless:2 well:4 sets:3 position:6 preprints:1 usual:2 less:2 obtain:1 underlying:2 uller:4 lattice:3 other:5 extends:4 disappearance:1 munich:1 doyle:2 know:5 press:1 immediately:2 necessary:2 like:1 lost:1 become:1 works:3 soft:1 because:6 sequence:1 phenomena:1 growth:2 convex:15 proofs:1 happens:2 jeremy:1 lead:2 merge:1 avoid:2 does:3 summand:1 chains:1 limitations:1 obey:2 pp:3 hǫ:16 host:1 although:2 about:1 incline:1 extension:14 freedom:1 angeles:1 carries:1 homogeneous:1 owe:1 h0:5 washington:1 functional:7 square:4 additional:1 ggms:10 restricts:1 quadratic:7 inner:5 var:1 naturally:6 function:26 but:5 volume:3 convergence:5 coupling:3 made:2 whether:2 wish:1 smooth:1 below:3 dms:1 limit:32 problem:4 mechanics:1 denote:16 functions:21 compared:1 book:1 details:1 conclusion:2 stat:1 ubc:1 auxiliary:1 eor:2 |
0704.3087.txt |@word suny:1 gs:21 consider:1 particular:2 dynamic:14 results:5 eds:2 proposition:8 edu:1 consists:1 sci:1 gm:1 disk:2 contributions:1 stallard:1 academiae:1 inverse:2 paris:1 ts:15 finally:1 tm:2 th:1 stable:4 analogous:2 ingredient:1 conjecture:3 very:2 focus:1 corollary:2 endpoint:2 every:18 anonymous:1 fractal:1 convexity:1 dgh:2 entire:3 school:1 michael:1 large:15 vector:1 science:1 lisa:1 attracting:2 zn:1 des:1 neighborhood:6 zj:1 estimates:2 second:2 preimages:1 dynamics:3 index:1 what:1 diam:6 appear:3 dr0:1 section:2 axes:1 expressed:1 uniform:2 annals:1 establishes:1 referees:1 international:3 consisting:1 satisfy:3 κm:4 full:1 escaping:7 κj:1 hairs:1 component:2 equals:1 here:1 exceptions:2 bachelor:3 tangent:1 address:4 alone:1 path:2 equations:1 z1:6 z2:5 κs:1 remark:1 institute:1 shift:1 study:1 studied:1 douady:1 periodic:1 pick:1 domains:1 california:1 uniquely:1 addresses:1 classification:1 extra:2 clara:1 ls:2 julia:1 verge:1 limm:1 establish:1 unit:1 derivatives:3 use:1 would:2 prove:7 remains:1 positive:1 contains:5 eπ:5 injectivity:1 therefore:2 distortions:3 etude:1 los:1 more:4 symposia:1 becomes:1 zimmer:1 under:3 eξ:7 eκ:19 known:3 hold:1 isomorphism:14 recall:1 work:1 values:1 sinica:1 following:2 proof:8 claim:6 loci:1 states:1 dm:1 numbers:1 mail:3 occur:2 absolute:1 needs:1 rays:38 notation:1 s3:4 s2:4 s1:4 holds:3 american:3 s4:2 write:5 maps:24 pure:1 acta:1 parameter:41 sin:1 vlad:8 fs:11 description:1 singular:9 may:3 earlier:1 southern:1 mapping:1 connectivity:3 plane:1 horizontal:1 parallel:2 constants:1 sz:13 dynamical:4 acknowledged:1 differ:1 rather:1 sh:2 so:30 fundamental:3 omes:1 adrien:1 pulled:1 order:2 eξ0:12 restriction:1 lsn:1 indeed:1 dierk:17 choose:1 distortion:2 paper:1 london:1 thesis:2 existence:2 satisfies:1 its:4 tending:1 thank:1 how:1 fix:2 brook:1 actually:1 forms:1 complex:1 condition:1 derivative:2 main:3 might:1 into:2 maximal:1 good:1 parabola:1 inductively:2 introduce:1 primary:1 tails:2 they:2 ls1:1 nov:1 now:2 discuss:1 2p:2 always:2 university:7 classified:4 sufficiently:14 each:4 repeating:1 side:2 subset:1 domain:3 square:14 map:4 generation:1 idea:1 society:3 extended:1 ez:6 our:5 er:1 conjectures:1 shown:5 space:10 restricted:1 robert:1 since:10 shishikura:1 re:5 contained:3 ren:1 conjectured:1 squares:7 suffices:1 correct:1 math:9 shows:1 theory:1 assured:1 standard:12 completely:2 complicated:1 univalent:1 estimate:1 r0:5 r1:1 applications:1 geometry:1 phrases:1 could:1 hyperbolic:5 devaney:1 times:1 turn:1 length:3 exponentially:1 qn:8 onto:1 think:1 first:5 hausdorff:2 manuscript:1 number:2 restrict:2 phil:1 done:1 directly:1 precisely:2 open:9 rs1:2 rs2:3 rs3:2 given:2 rempe:5 similarly:2 introduction:1 koebe:2 least:5 grow:2 their:3 appl:1 statement:1 john:2 8r0:1 holomorphic:1 exactly:2 immediate:1 johannes:1 translation:2 x1:1 than:2 finitely:4 determines:1 double:7 iteration:1 imply:2 submitted:1 limiting:1 roberts:1 were:1 w2:3 measure:2 argument:2 curves:5 ming:1 say:1 jacobs:2 goldberg:1 conjugate:3 need:5 hsieh:1 any:4 ray:16 mappings:1 zero:1 depending:3 lim:4 converges:3 note:3 sciences:1 potential:2 gmail:1 sure:2 measures:1 sequence:2 gκ:38 most:6 connected:1 but:5 iterate:2 segment:1 annulus:1 constructed:1 sometimes:1 stronger:1 countable:4 proceedings:2 points:7 exp:12 left:1 fact:1 sector:1 phenomenon:1 show:5 orster:3 radii:1 relation:1 fine:1 q1:10 q2:1 parameters:2 lemma:10 only:5 explicitly:1 postfach:1 transcendental:3 constant:1 local:4 his:1 above:1 dh:2 pull:1 df:1 de:3 preferred:1 famous:1 cannot:2 dz:1 uncountably:2 words:1 dt:11 dr:1 ds:6 gareth:1 covering:3 arxiv:6 yield:1 investigate:1 common:1 bal:2 fixed:4 bai:2 set:24 observed:1 see:1 radius:3 result:6 w1:1 discussions:1 close:2 subject:1 review:1 schleicher:16 between:2 mihai:7 boundary:3 horia:7 terms:1 iterated:3 complementary:1 wn:1 coverings:1 however:4 ison:1 gratefully:1 aircraft:1 key:2 topology:1 restrictions:1 last:2 σn:14 many:7 equal:1 com:1 otherwise:1 point:5 ca:1 others:1 evaluate:1 height:1 iterations:1 moreover:2 pr:1 pp:19 described:1 ciently:1 triviality:1 union:3 locally:2 annales:1 frs:7 cosine:1 change:1 universal:2 empty:1 define:3 ergodic:1 benoit:1 external:2 rippon:1 covered:2 those:2 bifurcations:2 case:1 hughes:1 nska:1 exponential:20 straight:1 engineering:3 value:7 hayes:1 will:5 suppose:7 situation:2 endpoints:9 conformal:19 iy:1 planar:2 ip:13 ir:18 thus:7 systems:1 disjoint:1 claimed:2 sits:1 ie:9 hubbard:2 fibers:2 journal:2 clearly:1 parts:6 largest:1 finite:1 differentiable:1 used:1 dimh:14 structurally:4 parametrized:1 uses:1 task:1 center:4 markus:3 no:6 well:4 analysis:1 without:2 theses:1 bifurcation:6 components:2 sets:10 dimension:30 justify:1 just:1 mandelbrot:6 obtain:4 bremen:5 lasse:5 dynamique:1 using:3 ithaca:1 previous:2 preprint:1 family:4 lebesgue:2 density:1 cornell:2 surprises:1 conclude:1 parametrization:4 hall:1 e0n:1 extends:1 theorem:14 remaining:1 real:6 iκ:1 around:1 depends:1 isomorphisms:3 morphic:1 decomposed:1 possible:1 additivity:1 know:1 integer:1 unique:9 like:2 tail:1 necessary:2 helpful:1 follows:6 disks:1 either:2 topologically:2 mathematical:5 because:3 often:1 truncated:1 some:5 back:2 choosing:1 convex:1 provided:2 comments:1 connecting:2 minimal:1 equivalent:1 ez1:4 ez2:5 imaginary:3 properties:3 injective:3 integers:1 lapidus:1 usa:1 complexes:1 o:2 angeles:1 monthly:1 plus:1 scientiarum:1 germany:1 introduced:1 consequently:1 stony:1 morphism:1 duke:1 formerly:1 owe:1 image:2 within:1 bound:1 hyperbolicity:1 locus:6 polynˆ:1 acad:1 references:1 strip:1 orsay:1 jubilee:1 van:1 log:2 combinatorics:1 there:11 u1:10 u0:9 fast:1 u2:1 width:1 quadratic:2 lot:1 was:3 asymptotics:2 function:1 holomorphically:1 complete:1 form:1 denoting:1 landing:1 repeated:1 construction:1 convergence:3 line:1 iterates:2 us:1 supi:1 below:1 un:11 limit:6 2πis:2 planes:3 similar:2 called:2 partition:1 proved:2 defined:5 cover:2 abstract:1 escape:1 covers:1 denote:2 single:1 proves:3 dκ:9 qiu:2 check:1 defines:1 again:1 functions:2 paradox:4 entirely:1 nonetheless:1 detail:1 ny:1 interested:2 electrical:2 balan:7 branch:1 department:2 mathematics:5 uniformly:4 polynomials:3 hausdorff:21 bounded:7 ξn:2 sides:2 structure:2 building:1 implies:3 curve:6 orbit:4 together:2 equivalently:2 time:1 n0:15 starting:1 once:1 |
0704.3088.txt |@word limited:22 magnetic:3 dynamic:23 four:3 weiler:2 parameterization:1 consists:1 centimeter:8 assembled:1 poorly:2 whose:8 patches:1 sines:1 contained:1 presents:5 mwa:1 under:5 summarizes:4 applied:3 shielding:1 risk:1 thermalize:1 rise:1 pierce:3 every:6 summarized:1 affect:4 adaptive:5 school:1 squares:1 internally:2 cause:1 solution:3 correct:6 solid:3 vector:2 relics:1 succession:1 indices:4 straight:2 heckman:1 bill:8 consistent:5 guidelines:1 estimates:5 direct:5 unpolarized:1 approximation:2 across:20 second:11 correlator:8 implemented:6 even:24 lesser:1 errors:15 excised:4 selected:1 contributed:4 nachr:2 above:10 conduct:1 new:18 net:1 increasing:5 ever:1 consisting:1 shocks:1 coefficient:2 evolving:3 simultaneously:3 behavior:2 never:4 residual:5 here:8 hundreds:5 ionization:1 met:3 purton:2 represented:1 path:1 obtained:17 study:4 enßlin:1 completely:2 reports:1 permit:1 suitable:3 changes:4 herndon:1 york:1 appropriately:1 divide:2 9c:1 noordam:4 visible:2 conjunction:1 achievable:1 e4:1 counts:4 total:10 linearly:2 plot:1 subimage:1 would:16 motivate:2 arms:1 m1:1 therefore:3 m2:5 lwa:6 until:1 preserved:1 separated:3 successful:5 nord:1 jpg:92 tying:1 excellent:1 ward:1 aligned:1 must:21 locked:1 room:1 past:3 work:8 roof:1 temperatures:5 erb:1 example:10 august:2 impose:3 indicated:1 give:4 india:1 implementations:2 impair:1 indicates:3 scheduling:4 cites:1 absolute:4 aging:1 end:1 provide:5 damage:1 very:15 hot:1 rudnick:3 adjacent:1 significance:1 strom:2 preferable:1 lal:2 dwarakanath:2 description:1 replacing:1 oscillators:3 earlier:3 confirmed:3 diagram:2 modest:5 outbursts:2 summarize:3 parallel:1 types:1 attempt:4 effective:4 recombination:1 maintain:2 algorithms:3 decreasing:2 operate:4 scintillation:1 order:34 wind:1 over:38 vary:4 innovative:1 before:5 fit:5 directional:1 expectations:1 pilkington:1 better:8 narrowest:2 fig:21 persist:1 eventually:1 them:11 affected:2 combination:1 tained:1 amenable:1 disturb:1 break:1 band:14 effects:36 they:29 represents:5 higgins:3 brightness:5 calibrating:3 reasonably:1 alternately:1 fringes:3 reasonable:1 each:17 acoustic:2 feeds:2 interpolation:1 side:3 carlos:1 mean:2 consolidate:1 schemes:3 successively:1 telescope:7 independent:8 series:9 principles:1 slee:10 hanning:1 jacobus:2 attenuation:2 navy:8 laboratory:4 dawn:1 borne:1 contend:1 gradient:2 restricted:4 content:1 re:5 daniel:1 ra:2 reader:1 foundation:1 linear:11 little:4 free:2 standard:6 estimate:10 storm:1 telescopes:12 incorporates:1 subtractions:1 cosmic:1 days:1 filter:1 levels:10 ism:1 1970s:2 corrections:7 moving:1 onto:1 speeds:2 user:1 polyhedron:1 already:1 features:2 render:2 rydberg:1 primary:35 channels:14 thomasson:3 disappearing:1 another:6 pulsar:1 thick:1 illustrate:7 similarly:1 top:3 night:2 approximately:16 needed:3 rates:3 observations:74 legs:3 illustrative:1 hewitt:1 centered:1 took:1 western:1 somewhat:1 begins:1 distance:6 erickson:38 target:4 showed:2 preparation:1 matter:1 timescales:1 napier:3 rad:1 fashion:5 rao:2 modern:1 spectrum:18 tsky:1 raw:1 hajian:1 seen:13 unaffected:1 seek:2 dozen:2 traditionally:1 convenient:1 latter:4 responsible:2 isolated:2 apj:11 calibrated:7 2006a:1 2006b:1 infalling:1 yatawatta:2 though:10 object:3 braun:1 extending:2 phase:134 mitigate:1 observation:8 calculated:2 tsys:7 flow:1 points:3 principle:5 leahy:11 defocussing:1 maxima:2 planetary:2 stephens:3 random:1 implying:1 attempts:2 radio:59 solutions:4 calculable:1 earth:4 lessons:5 just:1 implementation:5 representing:1 hrs:2 coefficients:4 rich:1 adequate:3 do:5 de:4 db:4 dc:3 despite:1 onboard:1 dr:2 ds:1 δφi:1 fields:7 scintillations:8 patch:13 nrao:8 bad:2 flagged:4 distortions:13 traverse:1 reference:5 celotti:1 sensitivity:33 testing:2 deemed:1 1960s:2 detection:4 depends:3 decided:1 radius:2 result:8 discussions:2 best:2 subject:1 away:1 f18:1 artificial:1 pressures:1 protected:1 subarray:1 approach:6 discovery:2 faceting:1 terms:8 parallels:1 nature:4 confusion:33 handful:1 weak:1 however:21 extent:6 f13:1 modeling:6 atoms:1 improve:1 behaviour:3 essentially:4 uncertainty:1 against:2 facet:1 planned:1 receiver:13 exceeds:1 variance:2 contribution:7 expense:2 hwang:1 unm:1 gps:1 presumably:2 timescale:2 royal:2 height:2 perley:38 polynomial:3 conference:19 broadening:1 2004a:1 symbols:1 basis:2 ropes:2 exceeded:1 claussen:1 three:7 been:29 much:19 west:1 interest:7 basic:1 expected:7 correction:16 riley:1 location:5 dots:1 efficacy:1 attacked:1 baum:2 coherent:3 spie:5 lowfrequency:4 exception:2 tang:1 1992b:1 employ:2 near:9 procedure:14 unlikely:2 mexico:9 phenomenological:1 ii:3 characterize:2 conf:3 ia:1 insensitive:2 disappear:1 containing:3 perform:1 suggest:2 make:6 linked:1 complex:5 advances:2 avoids:1 several:6 couple:1 fairly:4 published:1 hand:5 fabian:2 energetic:1 normalization:2 directivity:1 interferometers:5 suffices:1 kept:1 failing:1 savings:1 greatest:1 incapable:1 quantitative:1 left:15 stringent:1 proposed:2 diameter:6 quasar:1 mid:1 quotes:1 bandwidth:15 identify:3 facts:1 scattering:2 yet:5 electronically:1 previous:9 burns:1 monitored:2 had:3 easy:1 technological:1 formal:1 plasma:3 baselines:27 gave:1 elevation:2 lcp:3 bands:1 possible:11 caps:1 possibly:5 indicative:2 background:8 unique:2 shoulder:1 appearing:1 g34:1 cooler:1 remnant:2 sparse:1 arbitrary:2 facets:9 www:6 right:20 moran:1 czech:2 proportionally:1 j2000:2 jupiter:1 unless:1 indirect:2 tutorial:3 fov:1 witzel:2 dense:1 tracked:3 communications:1 normal:3 comments:1 nonthermal:2 individuals:1 indication:1 core:1 minimization:1 pose:2 illustration:3 post:2 properties:2 proceed:2 stokes:1 limitation:1 o:13 horizon:1 mahoney:1 connected:1 efforts:1 emissivity:1 soc:3 faint:1 presence:4 obtaining:3 negative:1 down:5 remarks:1 reducing:2 methods:2 rely:1 muxlow:3 altitude:2 initial:20 approximate:3 class:1 width:1 anderson:2 joseph:2 fraction:4 astrophysics:2 was:36 synthesis:18 lowest:1 head:2 medium:2 form:6 offer:1 forming:1 converse:1 26th:2 taken:5 solar:11 tasmania:2 removed:10 true:4 azh:1 portions:2 arrays:4 prevents:1 inside:4 attached:1 maximum:6 ejections:2 anew:1 stages:1 originating:1 khz:8 adopt:1 request:1 abstract:1 proven:2 evidence:2 exist:4 perez:8 trip:1 regime:1 nm:2 no:21 whereas:1 generally:2 ne:6 narrowband:2 interested:1 role:1 test:4 aips:14 nw:1 picture:3 solano:1 models:2 bietenholz:3 interferometric:2 scale:40 configs:1 jones:3 longer:9 hardcastle:1 assume:2 bottom:4 pseudo:2 together:3 time:66 serious:2 necessitated:1 slope:1 measurements:19 varying:1 datum:4 focus:5 daytime:1 certainly:1 depend:2 mitigation:1 technique:8 environment:1 2004b:1 finally:3 compensate:4 determinations:1 marks:1 combiners:1 division:6 orthogonal:4 frequencies:41 choice:2 refractive:9 minute:2 oftentimes:1 impressive:2 solves:1 level:21 did:1 leave:2 solved:1 fourier:4 crane:4 round:1 upper:7 illustrating:1 occurrence:1 bock:2 trend:1 dealing:1 prediction:1 alfv:2 spectral:15 appear:5 axes:1 uniform:7 current:8 komissarov:1 illustrations:1 filled:2 prescriptions:1 perpendicular:2 smearing:4 kilometers:4 alone:8 along:7 taylor:6 appears:3 change:6 box:3 shift:10 commonly:1 trial:3 accomplished:1 simultaneous:4 usually:8 studies:2 lowers:1 tasks:1 useful:14 convolution:1 storms:2 merely:2 jagged:2 phasors:1 escorial:1 illumination:1 should:18 pollute:1 working:1 quiescence:1 positive:1 ponz:1 emits:1 opposed:1 lorenzo:1 associated:5 smeared:3 acceptable:2 apparent:11 appendix:2 cases:9 effort:2 involve:1 cas:12 thousands:2 davies:1 oscillator:1 modified:1 reviews:2 values:4 cal:2 following:4 making:3 l129:1 arrive:2 jansky:4 areal:1 dedicated:1 figure:98 predict:1 december:2 overlay:1 sample:4 weighting:1 performed:4 council:1 14a:1 hydrogen:1 occur:7 productive:1 requirements:2 fortunately:3 discussion:8 write:2 lobe:3 criterion:5 parameter:1 dominance:1 inputs:1 aoc:1 may:19 southern:1 applications:1 explored:1 snr:4 designed:6 data:42 natural:2 joint:5 ss:1 sw:2 ghz:17 znl:3 ionized:2 so:34 sb:3 typical:15 wavelengths:11 aforementioned:1 pointed:2 mainly:3 years:1 stability:2 ended:1 episodes:1 cold:1 still:4 ieee:1 tendency:1 observational:1 derive:3 monitor:2 sν:1 how:3 facility:3 methodology:1 decreases:1 offers:3 constitutes:1 listing:1 main:9 modestly:1 non:10 thereby:5 introduce:1 scaling:1 warranted:1 half:5 mst:2 now:5 discuss:3 accommodate:1 term:12 name:4 janskys:2 january:2 drop:1 greisen:3 bursts:1 instability:1 entirely:1 el:1 domain:1 en:2 significantly:5 scheme:4 gaussian:1 snapshots:3 interferometer:5 astrophysical:2 entering:1 year:1 wavelength:17 sunrise:3 shown:13 accomplish:2 factors:2 furthermore:1 interference:8 increase:3 transforming:1 seriously:1 nominal:4 vlbi:1 dominate:10 vlba:7 shows:42 after:9 uncertainties:1 possibility:1 quite:5 advantages:1 besides:1 org:47 remainder:1 advance:4 transition:1 iterative:1 motion:2 turn:3 place:2 massive:2 support:1 first:21 origin:1 benefited:1 rms:20 qjras:1 comprised:1 simplified:1 directly:5 impossible:2 array:52 xv:1 angular:18 size:17 given:12 necessarily:1 yin:1 1a:1 indicate:8 iau:2 iat:1 structures:24 halving:1 williams:1 gives:2 way:4 cope:1 asymmetric:1 accurately:2 quad:1 eliminated:1 j3:1 undoubtedly:1 than:67 intrinsically:2 wide:10 television:1 impractical:1 third:2 require:3 crowded:2 transferred:4 future:9 were:35 decompose:2 pre:1 20p:1 register:2 san:6 topics:1 turned:1 locations:3 20a:1 1992a:3 20c:1 20b:1 20e:1 20d:1 20g:1 20f:1 20i:1 20h:1 20k:1 20j:1 20m:1 any:13 20o:1 20n:1 efficient:2 note:9 equipment:2 potential:3 wce:1 take:4 online:4 objective:3 performance:8 wonder:1 switching:1 channel:9 differences:1 multiple:11 norman:1 opposite:1 track:5 correlation:6 arcsecond:1 falls:1 ordinates:1 importantly:4 occurred:1 successive:1 pair:4 proxies:1 latex:1 especially:6 considered:3 average:3 later:1 drive:2 sunset:1 quiescent:2 typically:15 quantity:1 precise:1 spaced:2 show:11 able:9 bright:12 threshold:4 injection:1 ground:5 astron:7 merlin:5 ratio:3 macros:1 proportion:1 enough:12 analytic:3 only:38 stand:1 black:3 rengelink:2 equipped:3 thompson:3 sensitivities:5 men:1 directed:2 expectation:1 truly:1 tens:3 unimportant:2 cannot:4 nearly:6 piston:2 distortion:7 giacani:2 secondary:2 prime:1 regarding:2 yield:2 summary:1 roger:2 predicted:1 b1950:2 fainter:3 miley:2 ignored:2 filters:1 j4:1 station:1 lofar:4 comparable:6 blurred:2 relative:8 eliminating:1 encouraged:2 polyhedral:5 detect:4 registering:1 extragalactic:3 ways:1 subsequent:3 review:1 sumss:1 forecast:1 boundaries:2 outside:12 kilometer:1 morales:2 between:28 geometric:1 screen:10 notice:3 infrastructure:1 jy:26 vertical:1 receivers:10 smooths:1 jr:3 analyzes:1 heterogeneous:1 fluctuations:6 jets:1 comb:7 ja:5 motivations:1 resides:1 implementing:1 many:13 region:12 hours:5 quiet:1 sparseness:1 kjy:3 nearby:5 among:1 filtering:1 jitter:12 color:1 overview:1 betweeen:1 period:2 sampling:4 maintained:1 iterations:2 moreover:3 considering:1 unusual:1 cycling:1 capable:1 mounting:2 combined:2 prototype:8 hardly:1 breugel:1 wants:1 direction:14 enable:3 restrictions:3 formed:2 observers:1 observe:4 external:4 suspected:1 careful:1 diffuse:13 those:14 case:9 developing:1 ongoing:1 situation:1 orientation:3 characteristics:4 cluster:6 bias:1 return:1 different:17 circularly:1 l59:1 annapolis:1 same:19 shifts:6 weakness:3 nijboer:2 constructed:9 events:1 extended:11 allocation:1 devoid:1 edges:6 driven:1 arose:1 relies:1 threaded:1 modes:1 largely:2 minimize:2 roughly:5 wedge:3 severe:7 without:3 solve:2 components:9 coordinate:1 model:23 otherwise:1 consisted:1 summer:1 being:21 when:24 doeleman:1 rest:1 ekers:1 harrison:1 sampled:3 seems:1 except:3 improvement:2 instrument:2 treatment:1 samples:1 republic:2 extensive:1 disrupt:1 real:3 aspects:6 around:1 cmes:2 early:5 tid:7 grid:8 psr:1 using:23 accepted:1 correcting:3 junor:8 identifying:1 serves:2 discarded:2 benefit:2 either:6 fully:1 differentially:2 reduced:1 satisfactory:1 pacific:1 imaged:10 respect:3 images:39 users:1 provided:6 aust:1 confirm:1 cavity:1 toth:2 provides:4 rectangular:1 moderate:4 wsrt:2 biased:1 assembly:2 scientific:2 power:15 seconds:1 equivalent:4 inspect:1 notably:1 broken:1 evolve:1 makishima:1 ratios:2 eiφ:1 refers:2 postponed:1 comparison:2 conducting:1 central:3 hicks:4 discussed:3 meaning:2 practical:1 coronal:1 greatly:2 act:1 road:1 cambridge:1 redshift:1 communication:1 image:73 references:1 inverting:1 determine:4 elementary:1 imagr:1 log:8 her:1 area:6 removing:3 astrometric:8 there:15 ordinate:2 detectable:1 henning:8 low:68 stars:1 valley:1 complete:2 displacement:1 laing:1 mnras:10 implies:1 optical:3 amplify:1 october:3 applying:1 bandwidths:3 pulsars:3 abscissa:2 robustness:2 agree:1 strongly:2 followup:1 celestial:1 certain:2 totaling:1 describe:13 general:12 ap:1 examine:1 scanned:1 au:4 planets:1 gradients:1 cables:1 edgemont:1 incorrect:1 again:3 antenna:48 hybrid:3 field:88 valid:4 spatial:15 deviation:2 polar:1 briefly:2 vertex:1 includes:3 important:10 nucleus:5 peak:6 coverage:8 included:2 remote:3 mass:1 quantify:3 dyer:2 resolution:40 original:2 fesen:1 aln:2 represent:7 externally:1 sci:2 consider:1 pointing:3 caused:5 lack:2 concern:1 spacecraft:1 cooperative:1 dish:1 expressions:4 faster:1 causes:2 improperly:1 tv:1 removal:1 aaron:1 program:1 gmrt:7 wml:1 global:1 amplitudes:6 worse:3 far:10 worst:2 fall:2 socorro:2 difference:5 treating:2 targetted:1 hyd:1 broderick:1 lazio:16 applicable:4 large:39 adjust:1 small:15 holography:1 neighborhood:1 ten:1 tec:6 evla:4 asp:13 design:6 pass:4 further:5 attributable:3 situated:1 what:2 sub:7 sun:5 section:7 ast:1 thickness:1 fractional:3 judicious:1 learned:1 method:9 contrast:5 edited:12 full:18 christophe:1 component:3 ranges:5 operating:7 excess:2 november:1 strong:39 observing:8 asc:1 naval:5 losses:1 allows:1 experience:7 prior:3 amount:5 eilek:1 milky:1 sidelobes:10 narrow:4 options:1 elongated:1 imaging:46 goss:2 via:6 followed:1 requiring:1 vir:13 viz:2 establish:2 detecting:1 readily:1 poor:14 scheuer:2 takes:2 former:1 contains:5 quasi:1 comparing:1 aperture:19 vlss:1 more:50 diamond:1 initiated:1 m87:1 corrected:3 emission:28 tested:2 flag:1 particular:4 known:11 mounted:1 producing:1 presumed:1 town:6 helped:1 none:1 hour:8 middle:1 science:13 equation:4 remain:1 strategies:4 dec:1 deg:14 compare:1 f3:1 f4:1 scal:3 scan:2 f9:1 bruyn:1 states:1 model11:1 minimum:3 numbers:1 arise:1 sharp:2 axis:2 terrestrial:2 information:1 needs:1 goal:1 rather:8 clarke:5 acts:2 utilize:2 maps:2 disturbed:3 delaney:6 galactic:11 intended:1 wiley:1 derived:5 mapping:3 reflect:1 catalog:2 plane:15 fe:9 waves:2 horizontal:1 response:5 short:16 interpolated:1 spectra:10 extrapolation:1 negligible:4 fundamental:1 stewart:3 remnants:1 help:1 ith:1 september:9 developed:8 soon:2 installed:2 held:10 thermal:11 paper:7 through:9 subreflector:5 existence:1 its:16 arcminute:3 rapidly:2 actually:1 late:2 multiconfiguration:1 detected:14 systems:9 charlottesville:1 might:6 deformation:1 lacey:1 good:10 motivated:1 entire:10 anticipated:1 uhr:17 suffice:1 smoothness:1 easily:1 designation:1 always:2 presented:13 enlarged:1 capability:7 visibilities:7 radian:6 radial:1 found:5 transform:1 weight:1 generation:1 energy:1 reduce:5 deployable:1 expect:2 loops:1 operation:1 beyond:4 orient:1 dominates:3 funding:3 since:6 research:7 misses:1 dominated:5 induced:4 issue:4 occurs:2 foreground:1 fiber:2 offsets:4 positional:2 confidence:1 paucity:1 difficulty:1 reason:2 base:2 brightest:3 beginning:1 generate:4 lag:2 definition:1 pairs:4 unresolved:2 retained:1 optics:3 conducted:5 harris:1 corrupting:1 v5:1 feed:6 major:3 relate:1 number:25 utilized:1 done:3 construct:1 hewish:2 fluxes:1 differ:3 temperature:13 jet:4 introduction:2 moderately:5 least:14 dennett:3 ionospheric:90 assumption:8 mosaic:2 amplifiers:2 compromise:1 hundred:2 smoothed:2 listed:2 shifted:2 bremer:2 imperfect:2 option:1 measurable:1 part:7 authors:1 brightnesses:2 spacings:1 believe:3 observatory:7 double:3 anticipate:1 aims:1 cost:1 intensities:1 aas:1 toward:5 treated:1 motivation:1 modeled:2 randomly:2 headings:1 cleaned:2 orders:1 geomagnetic:4 built:2 cable:1 depending:5 self:45 onset:1 majority:1 internal:3 square:1 useless:1 frail:4 play:1 towards:5 w44:2 index:2 quote:2 cornwell:9 measures:1 most:24 bridle:8 significant:7 comparisons:1 measured:12 deviations:1 arising:2 clear:2 sometimes:1 km:31 traditional:1 tpt:1 azimuth:2 velocity:1 physics:3 bulletin:1 isoplanatic:13 particularly:7 disturbances:4 accuracies:2 memorandum:1 scattered:1 beamwidth:4 relation:5 astrophys:1 routinely:1 find:2 impact:1 dividing:1 less:17 distributed:1 e16:1 failed:1 3h:1 sadler:1 condon:9 factor:8 circle:2 accurate:3 shepherd:1 intractable:1 dominant:3 gains:3 spurious:3 beams:5 connections:1 arm:1 polarized:3 longest:6 closely:2 competing:1 during:20 resolve:3 continuum:5 arxiv:47 remove:6 common:4 activity:6 rfi:39 approaching:1 set:3 achieved:1 prague:2 astrometry:5 bhatnagar:3 plausible:1 see:19 individual:4 sec:6 descriptions:1 sea:2 close:9 forthcoming:1 contour:4 superseded:1 currently:2 diluted:1 dipole:5 f21:1 determined:18 various:15 probably:3 conditions:17 corruption:1 available:57 recently:4 initially:1 sidelobe:18 attention:1 brentjens:2 poorer:2 rapid:1 distinguish:2 bastian:1 dubner:2 both:36 improved:2 offending:1 sensitive:3 became:1 z00:1 point:5 simple:9 smith:3 address:1 corresponds:1 dimensional:4 adjoining:1 faraday:2 throughout:3 ps:46 atmosphere:1 described:13 pt:21 due:17 strategy:18 pb:1 reduction:2 describes:1 ska:1 ph:2 meeting:2 empty:1 lived:1 1950s:1 nrl:12 transferring:1 gas:1 modelling:2 representative:1 systematic:4 surveys:1 haystack:1 cassegrain:1 replaces:1 uncertain:2 look:3 frozen:1 reliable:6 expanded:1 deferred:2 while:18 superposed:1 reliably:1 error:2 guide:1 scheduled:2 concurrently:1 vol:10 averaging:4 owen:2 faceted:1 apjs:3 encountered:1 itself:10 declinations:4 baseline:29 lengths:1 butcher:1 shorter:2 benign:1 emphasize:3 widely:4 survey:8 relatively:18 higher:38 development:2 used:56 optic:2 comprehensive:1 strength:4 uses:1 purpose:5 robust:1 dark:1 lower:18 task:11 analysis:1 nonetheless:2 edge:2 b0531:1 distances:3 exploits:1 resolves:3 shape:1 intervals:1 questions:1 world:1 regardless:2 alternative:1 conclusions:2 alternate:4 guaranteed:1 signals:13 source:94 positionally:1 plateau:1 remaining:2 build:1 australia:1 march:1 format:47 showing:2 emanating:1 projects:3 incompletely:2 knock:1 imposed:3 success:1 follows:1 signal:24 translates:1 ignore:2 flux:54 continue:4 yields:1 essential:2 refracted:1 often:15 collectors:1 some:17 understood:2 strongest:8 added:2 examples:6 sight:4 brogan:2 thorpe:3 rarely:4 describing:2 decision:1 shall:4 integration:11 per:5 petre:1 proc:9 minimal:1 run:3 jumps:1 processing:4 bh:1 agreement:2 step:1 lasts:1 plots:1 rickard:1 usa:9 constraint:2 preamplifier:1 range:18 2iφ:1 consequently:2 block:2 computational:2 into:18 within:30 integral:1 kassim:52 appropriate:7 primarily:2 proportional:2 lesson:1 physical:1 diameters:1 grids:1 eleven:2 extremely:2 apparently:1 sequence:1 long:23 custom:1 occupy:2 forward:6 sections:6 considerably:7 rees:2 receiving:1 link:10 line:7 considerable:1 deployed:2 genzel:1 excision:11 rejection:1 blockage:2 characteristic:2 uv:1 up:5 us:1 utr:4 continuously:3 highlight:1 similar:27 called:1 precipitated:1 bell:1 viable:1 fomalont:2 constant:3 defined:1 swenson:1 influence:1 singly:1 globally:1 duration:1 single:17 graham:2 cotton:13 amounts:2 dashed:1 azimuths:1 zernike:21 occasional:1 application:1 priori:2 lonsdale:1 generates:1 calculating:1 gross:2 problems:3 polynomials:17 prepared:1 generated:7 allowing:3 drao:5 wenss:6 structure:35 lane:14 methodologies:2 required:14 holes:1 declination:8 weights:2 demonstrates:1 walker:2 requires:6 having:1 once:1 katz:4 code:3 partial:1 illustrates:1 results:10 existing:4 illustrated:1 eds:5 edu:7 issues:1 compact:10 concerned:1 young:2 contours:4 stable:8 zensus:1 suite:1 include:4 dramatically:1 indicating:4 confirmation:1 vla:131 wave:2 electron:6 mixing:1 continued:2 severely:1 transmission:8 positions:9 shock:1 fewer:2 sastry:1 defocusing:1 interpolating:1 dealt:1 inspection:1 noted:3 configurations:31 smaller:17 quantifies:1 traveling:3 picked:1 leakage:1 calibrators:1 universities:1 purge:1 blobs:2 apparatus:1 morse:1 giving:1 expressed:2 henceforth:1 indian:1 3c:103 crossed:4 waveguide:2 hameed:1 focuses:1 led:2 degree:2 extrasolar:1 respectively:1 hydra:3 commercial:1 highly:2 desired:3 explore:1 objects:11 focused:2 separation:3 others:1 hobart:1 consideration:3 invented:1 implicit:1 great:2 parameters:1 involved:1 larger:27 suggests:4 resulting:5 implement:3 makes:3 composed:2 winkler:1 kurtz:1 clark:10 scales:24 apr:1 integrations:1 private:1 scaled:2 addressed:1 decrease:4 frame:1 apply:3 resolutions:4 limg:1 standing:1 use:12 stream:1 excising:1 remains:3 next:2 few:13 crab:3 started:1 becomes:2 stone:2 visibility:12 payne:2 normalized:2 antennas:37 actual:2 account:2 ρe:2 locks:1 gabriel:1 challenge:1 stations:2 anywhere:1 obvious:1 flagging:1 drops:1 averages:1 control:1 tau:7 weaker:3 decorrelation:1 process:4 allowed:2 purposes:4 high:30 effectively:4 proxy:1 sought:1 triangle:1 enrique:1 varied:1 carries:2 regions:10 located:11 varies:2 blended:1 compiled:1 instead:5 circular:12 outlier:1 immersed:1 underway:1 tied:4 demonstrating:1 fits:2 monitoring:1 efficiently:1 advocated:1 lines:4 element:1 chief:1 multisource:1 spain:1 allow:4 subsequently:4 mjy:10 saturated:1 produces:2 astronomical:9 sjouwerman:1 produced:6 including:8 looks:1 fwhm:3 galaxy:17 contaminated:1 aj:9 delay:13 brian:1 chosen:4 lo:7 temporal:3 hypothesize:1 degrees:5 instruments:11 clusters:1 eastward:1 greater:8 polarizations:2 practice:11 front:3 bar:1 kiepenheuer:2 realize:1 february:1 profound:1 cygnus:3 preclude:2 radians:1 sufficiently:12 magnitude:2 transmitted:1 mode:7 constraints:2 subset:1 exacerbated:1 transported:3 map:3 related:6 society:1 frequency:87 calibrate:3 measure:2 ionosphere:41 our:24 irregularities:1 wander:8 special:4 out:11 ascension:6 fundamentally:1 res:1 rev:2 calib:2 electronics:7 supports:1 math:1 8c:3 galaxies:5 approaches:2 collection:1 trends:1 obscure:1 nvss:13 interaction:1 bowman:2 determining:3 could:17 times:14 counterpart:1 length:5 produce:16 isotropic:1 assumed:2 hence:6 retain:1 repeats:2 strictly:2 south:1 transmitters:1 powerful:1 improvements:2 l33:1 precisely:1 unger:1 wavefront:1 fair:1 revealed:1 system:85 adopted:2 their:19 intermediate:2 santa:9 final:7 shell:2 lot:1 rsd:3 academy:1 completed:1 cyg:31 too:2 manifestation:2 observed:21 20q:1 unreliable:1 limiting:4 compensation:1 arc:7 amplitude:18 f12:1 collins:1 f11:1 steep:2 collecting:8 hotspots:8 clip:1 separations:6 cohen:15 corrupt:1 defocused:2 pedlar:2 need:3 curved:1 demonstration:1 clearly:7 acceleration:1 instrumentation:1 angle:16 mil:8 dishes:1 min:13 studying:1 mills:2 gravity:2 jacobson:4 polarization:11 instance:2 concerns:2 incorporating:1 techniques:11 20r:1 mit:1 accuracy:2 astrometrically:2 ray:5 deploy:1 courtesy:1 eight:1 representation:3 intrinsic:6 why:1 volume:3 subtracted:3 consequences:1 stronger:2 proceedings:12 hi:8 snapshot:16 constrain:1 normally:4 fact:3 emerging:1 supported:3 attainable:1 convolved:1 rough:5 editing:2 based:19 knowledge:1 ngc:1 operational:3 virgo:7 brighter:1 smallest:2 arcseconds:4 employed:5 ngc1275:1 local:2 thresholds:1 achieve:5 meant:1 handle:2 means:8 astigmatism:1 displayed:1 overall:2 stripes:2 beam:50 ones:5 passband:1 drawn:1 averaged:1 procedures:7 tbd:1 areas:3 gray:2 processes:2 densities:15 course:3 numerous:2 differential:8 expansions:1 comprising:2 contain:3 fixed:3 view:50 requirement:1 constructing:2 exists:1 acquired:3 smooth:1 national:7 differentials:1 turbulent:1 freeze:1 computer:1 usefulness:1 enhanced:1 operated:1 catalogs:3 closer:2 phases:8 pattern:7 nebula:2 tend:1 xray:1 targeted:1 state:4 ottgering:2 phased:1 correctly:1 routine:3 crude:2 invariant:4 midnight:1 ends:1 ability:4 superior:1 importance:3 supernova:3 efficiency:4 hypothesis:2 key:8 probing:1 configuration:25 distribution:13 thumb:1 observable:1 instant:1 limits:7 etc:2 swarup:2 manifestations:1 figures:11 refraction:13 mesoscale:3 detailed:4 adjusted:1 relevant:2 cm:6 conclude:2 walk:1 tropospheric:1 tessellated:1 maximize:1 carbon:1 dependent:5 table:23 ensslin:1 geometries:1 powered:1 addition:2 compensating:1 3c390:1 senses:2 corresponding:3 sufficient:13 coherence:10 tycho:2 couplers:1 present:16 multi:3 unlike:1 align:1 value:8 choices:1 will:13 reliability:1 revisited:1 discoveries:1 va:2 layer:1 barely:1 wielebinski:2 almost:2 thus:10 site:4 surface:2 hardware:2 excessively:1 dual:2 began:4 cross:2 intra:1 brightened:1 unity:1 parts:2 largest:3 units:4 φi:1 difficult:3 http:50 faces:1 upon:9 effect:13 sooner:1 infinite:2 frequently:1 sodin:1 expand:1 donnell:1 off:4 center:19 yates:2 nevertheless:3 calibration:108 well:19 perseus:3 patterns:5 residuals:1 position:18 sensing:3 usual:1 spherical:1 excessive:1 heavily:1 proximity:2 numbering:1 obtain:3 sources:132 distant:1 rotation:3 kronberg:2 disturbance:2 preprint:1 density:46 satellites:1 absorption:5 carilli:3 sky:32 lake:10 day:3 reasons:1 add:1 combine:1 unprecedented:2 resolved:11 tests:6 increased:2 devised:1 inversion:3 increases:3 five:4 know:1 burden:1 deployment:2 press:2 turbulence:1 intersection:1 loss:1 tail:1 necessary:6 like:5 depolarized:1 sizes:2 alternatively:1 schmitt:2 mhz:243 become:5 troposphere:1 works:3 baars:6 opacity:1 exceed:1 because:35 classical:11 calibrator:20 phenomena:3 observatories:1 pauliny:2 transport:1 happens:1 subramanian:2 projection:1 lead:3 unpredictable:1 broad:6 avoid:7 injects:1 instantaneous:1 disk:1 does:11 dipoles:9 assuming:2 chains:1 demonstrated:4 limitations:1 noise:36 schedule:1 20l:1 journal:1 pp:2 interval:1 although:8 offset:7 imaginary:1 panel:14 about:7 rare:3 extension:1 column:5 introduces:2 dependence:5 scott:3 grijp:2 widefield:2 dominion:1 insufficient:1 introduced:4 henrique:1 software:3 homogeneous:1 equally:1 own:1 blundell:2 rectify:1 previously:4 washington:3 interstellar:1 assess:3 weather:12 utility:1 van:1 additional:3 synthesized:7 artifacts:1 transfer:9 rcp:3 smoothing:1 overestimate:1 pa:11 inner:2 ed:1 interferometry:5 function:20 ryle:6 north:2 hr:8 but:33 astro:2 construction:1 gain:13 convergence:1 highest:6 a5:1 falcke:2 partially:1 made:11 wise:1 evident:2 whether:1 variations:12 below:26 converted:1 limit:5 demonstrate:2 problem:3 piece:1 minutes:5 bandpass:22 lobed:1 contribute:7 linearity:1 pie:6 separating:1 lobes:10 periods:4 inc:2 compared:6 variety:3 eastern:1 percent:4 detail:6 other:25 compares:1 details:3 francisco:5 variation:3 schwab:1 astronomy:16 space:5 rule:1 portion:4 indirectly:1 disruptive:1 |
0704.3089.txt |@word represent:1 gt:2 consider:2 focus:1 illustrated:2 proposition:3 gb:13 ga:16 edu:1 research:4 gj:4 gi:2 λik:1 λij:9 λii:4 λin:2 aug:1 effort:1 segments:1 equivalence:1 removal:8 under:3 kamada:3 case:6 song:1 algebr:2 results:6 corollary:1 every:6 difference:1 strand:55 states:2 bn:4 louis:5 notes:1 leave:1 λni:3 indices:1 upper:3 direct:2 sign:2 second:4 pass:1 notwithstanding:1 index:1 what:1 section:3 selected:1 expressed:3 equivalent:5 deborah:1 y2:2 policies:1 whose:1 component:1 preserves:1 jointly:1 bi:5 groups:2 along:1 equations:2 change:4 remark:9 involved:1 studied:1 contradiction:1 yˆ:6 p2:8 military:3 kauffman:5 changes:2 cancellation:6 involves:2 homotopic:52 classification:1 va:1 replace:1 sgn:1 apply:3 greg:1 univ:1 use:1 indicated:2 prove:2 recalling:1 contains:12 next:3 handles:12 taken:1 msc:1 twists:2 diagrams:12 more:2 immersion:2 award:1 xiao:1 berlin:1 vn:16 cases:1 iii:2 1th:2 must:2 sample:1 springer:1 crosses:1 contradicts:2 recall:4 equation:2 blacksburg:1 cancellations:2 longitude:6 reproduce:1 following:9 example:2 proof:13 f1:2 f2:2 figure:33 give:1 purposes:1 topic:1 indicates:2 yλ:1 performed:3 council:1 occur:2 united:2 s3:1 s2:6 s1:6 holds:1 xˆ:13 braids:36 strikingly:1 nontrivial:1 pure:26 answer:1 goldsmith:3 product:4 may:4 immersed:2 after:3 collection:2 diagram:11 explored:1 inst:1 multiplication:2 fi:2 fn:2 natural:1 third:1 lemmas:1 correspond:1 element:22 sk:1 si:2 so:3 sn:2 polytech:1 representation:31 order:2 milnor:3 ith:1 produces:1 over:5 move:1 interpreted:1 held:1 paper:3 through:2 homotoped:1 differs:1 converting:1 braid:88 its:2 concatenating:1 group:7 methodology:1 meridian:3 correspondence:2 non:6 yn:2 detour:1 yz:1 markings:2 57m27:1 now:4 discuss:1 term:2 invariants:2 university:1 each:9 crossing:16 2i:3 mean:1 subset:1 our:1 naming:1 σ2i:2 out:1 shown:15 3rd:2 λ1i:3 since:3 cancels:1 denotes:1 contained:4 geom:2 denoted:3 lecture:1 occurs:2 math:8 earlier:1 theory:5 admits:8 isotopy:1 org:1 remainder:1 times:2 ordering:1 length:10 plane:1 place:1 hence:7 first:5 knots:2 xi:8 xn:2 habegger:2 thereon:1 number:3 linking:2 tier:1 multiplying:1 least:5 another:1 representations:13 kobe:1 passes:2 given:5 necessarily:1 rewritten:2 similarly:1 introduction:1 1x:2 crossings:15 relations:2 indicate:1 assumption:1 types:1 convention:1 1i:11 john:1 academy:3 part:2 zλ:2 x2:2 x1:2 representing:1 than:6 nathan:1 zero:1 subsequence:3 classes:2 punctured:2 college:1 kuperberg:2 descriptions:1 generality:2 rewrite:1 ann:2 canceling:11 argument:1 generalization:1 conjugate:1 need:1 reidemeister:14 linked:1 viewed:2 λga:2 lin:2 note:6 without:1 unknot:1 normal:15 most:3 involving:2 sponsored:1 significant:1 pair:4 class:1 kj:1 ki:2 topol:2 associateship:1 points:2 left:1 fact:2 incorporate:1 show:3 authors:1 implying:1 curves:7 keywords:1 determined:1 trivial:2 wraps:1 based:3 office:1 copyright:2 louise:1 commutators:1 state:1 should:1 lemma:12 only:6 generators:6 σ1i:2 sofia:1 handle:21 notation:2 dye:3 neither:1 immerse:1 arxiv:2 remove:1 consisting:2 qa:4 qb:3 contain:4 fixed:2 view:2 set:19 modulo:1 national:1 relative:1 y1:2 see:4 w3:2 w2:5 w1:3 terms:2 parallels:3 surfaces:2 said:2 λki:3 λkj:2 exchange:1 written:1 smallest:3 closed:1 between:4 invariant:1 boundary:2 recently:1 august:1 wn:12 complement:1 however:2 wi:4 wj:2 hypothesis:1 ji:3 amer:1 topology:1 both:3 σi:2 equal:6 admit:2 figures:1 embedding:1 genus:32 otherwise:1 corresponds:4 2nd:1 dimensional:2 pm:2 army:1 sequences:1 yi:5 proved:2 1y:1 conference:1 described:3 copies:4 been:2 describes:1 pn:32 universal:1 define:1 describe:4 corresponding:1 fund:2 observe:4 representative:1 those:2 applied:2 p3:2 p0:2 p1:1 solid:1 will:7 while:3 suppose:6 encircled:1 endpoints:7 real:3 orientation:1 vol:2 vj:2 herein:1 surface:13 iv:1 ii:2 canceled:2 ij:9 il:1 ramifications:1 result:8 author:1 journal:1 views:1 same:3 any:2 virtually:3 deletion:3 european:1 ni:4 lambropoulou:1 v3:2 changing:1 identity:41 lower:2 undercrossing:1 components:2 self:7 subgroup:10 λp:1 less:6 distribute:1 obtain:5 torus:3 λg:1 transforms:1 λi:9 λn:3 previous:2 oriented:1 conjugates:2 preprint:1 generator:5 conclusions:1 bp3:4 transformed:5 theorem:10 remaining:1 kishino:1 around:1 government:3 virginia:1 possibly:1 increases:1 knot:5 using:1 unique:1 occurring:1 loss:2 semi:2 follows:1 reduces:1 reprints:1 bpn:16 either:6 reduced:1 www:1 because:1 dean:1 classical:33 sequence:11 1st:1 lebanon:1 cancel:1 b1:1 b2:1 images:1 transversely:4 describing:1 tube:3 does:2 minimal:27 refer:1 σij:22 σii:10 σin:11 bk:2 weaving:1 artin:3 about:3 theorems:2 distinct:2 introduced:1 slightly:1 road:1 soc:1 xyx:1 into:8 three:3 appropriate:1 references:1 determine:1 additions:2 stabilizations:1 combinatorics:1 removing:5 support:1 there:5 question:1 authorized:1 was:3 form:21 some:5 differences:1 but:6 link:24 line:1 removed:3 true:1 applying:2 official:1 attached:1 up:2 annotations:1 paired:1 dehn:2 λjk:2 λji:1 strands:13 homotopy:13 detailed:1 ab:1 intersects:5 links:2 defined:1 certain:1 abstract:3 aj:2 denote:11 exist:1 laboratory:1 moves:15 again:1 no:8 when:2 virtual:61 acknowledgments:1 other:6 draw:1 elements:13 includes:1 commutator:1 generated:9 bardakov:1 decorated:2 structure:3 assume:4 curve:14 implied:1 requires:1 original:2 once:1 |
0704.3091.txt |@word personal:1 bull:1 tradeoff:1 golden:2 nπ:1 indeed:1 oss:1 adjustments:1 trigonometric:1 expects:1 produced:2 c3:4 mathematicians:1 supplement:1 2c2:1 messenger:1 edu:1 keywords:1 existence:1 gm:1 involved:1 facilitates:1 find:1 roots:6 cn:5 cell:2 stillwell:1 group:4 symmetry:2 integer:1 field:1 aω:2 regarded:1 coxeter:8 coordinates:3 should:1 color:1 only:1 book:1 systems:2 communication:1 c13:2 iπ:2 c11:2 c4:1 over:1 norm:2 c14:2 real:1 non:1 amplitudes:3 exceptional:1 checking:1 similar:2 michigan:1 express:1 story:1 period:1 possibly:1 closely:1 new:1 press:2 during:1 ams:1 highly:1 matrices:1 groups:2 discovered:2 showing:1 shephard:1 semi:1 sizes:1 alternatively:1 university:3 arxiv:1 2b2:1 canad:1 vector:1 yields:3 streamlined:1 2a2:1 each:5 become:1 2n:6 cycles:1 leonardo:1 lasting:1 subset:1 ethical:1 sketch:4 smaller:1 computed:1 cyclotomic:1 publications:1 doing:2 ed:1 some:2 related:1 relative:1 see:1 elements:5 displays:2 sketched:2 into:1 r6:6 peter:2 concentric:1 subject:1 cambridge:2 cω:2 satisfying:1 dimensions:1 3rd:1 space:1 define:1 per:1 research:1 symmetric:2 expressed:1 version:1 gn:3 amplitude:1 above:3 denoted:1 formula:12 sided:1 math:3 rk:1 ends:1 avoids:1 recently:1 august:2 stembridge:1 announcement:1 bn:5 were:1 obtain:1 guess:1 here:3 however:1 chilton:1 rows:1 complicated:2 e8:14 references:1 article:1 along:2 amer:1 obtained:1 both:2 essentially:1 r7:6 polytope:5 would:1 r2:7 r3:6 institute:1 richter:2 could:1 vectors:4 r8:6 according:2 david:2 union:1 american:1 dover:1 products:1 action:1 definition:1 26n:2 crystallographic:1 composed:1 22n:6 soc:1 mcmullen:2 projection:6 classification:1 apr:1 gosset:2 image:1 dynkin:1 number:1 h4:6 system:12 scaled:1 phase:2 en:3 simplified:1 polynomial:1 moreover:1 james:1 maple:1 york:1 given:3 necessarily:1 van:1 second:1 introduction:1 positive:2 humphreys:1 due:1 next:1 depicted:1 explicitly:1 inner:1 way:1 notices:1 john:2 was:2 until:1 gives:1 function:1 r4:6 isomorphic:2 r5:6 inclined:1 cos:1 but:1 c9:4 fixed:1 hn:3 western:1 particular:1 known:1 last:1 denote:3 convinced:1 former:1 r1:6 compute:1 cyclic:1 2d2:1 mi:1 bω:2 value:1 believes:1 forgetting:2 computer:1 values:1 three:1 ms:1 many:1 projecting:2 root:13 example:2 projections:2 dn:4 larger:1 figures:1 figure:3 give:1 abstract:1 convex:1 locations:1 equal:2 exist:1 numbers:2 dual:1 14n:2 january:1 element:1 apparently:1 clearly:1 simple:1 ratio:3 tedious:1 lie:2 depict:1 polygon:1 author:1 latter:1 means:1 feature:1 same:1 check:1 note:2 necessary:1 complex:2 c12:2 diagonalize:1 department:1 mathematics:4 coincide:2 offered:1 polytopes:3 used:2 afli:1 may:4 15x:1 symbol:1 use:2 hand:1 diagram:1 meaning:1 regular:9 purpose:1 c6:2 formulae:1 remarks:1 representations:1 shift:1 choice:1 class:1 fn:3 cycle:2 verification:1 reflection:1 using:2 dω:2 computations:1 chosen:2 no:1 explicit:1 vertices:3 any:2 order:1 norms:1 more:3 points:1 so:5 comprise:2 exp:2 april:1 coordinate:3 schl:1 first:3 having:4 fact:2 justify:1 |
0704.3092.txt |@word homomorphism:34 consider:6 funct:3 results:13 four:1 roy:1 proposition:22 edu:3 go:1 partial:2 amplified:1 disk:6 reasoning:1 causes:1 row:4 compact:1 whose:2 isometric:37 inverse:2 analytic:1 aug:1 attracted:1 equivalence:8 factoring:1 tn:4 tj:1 encyclopaedia:1 th:1 stable:2 dales:1 include:4 norm:1 certain:1 brown:1 solel:2 straightforward:1 orthogonal:2 very:6 nonselfadjoint:7 induce:1 splitting:3 corollary:13 every:4 lecture:1 ma:1 trouble:1 exact:3 categories:5 look:1 turns:2 notes:3 list:1 large:1 convenience:1 commute:2 annihilates:1 anal:3 upper:2 smaller:1 d3:1 matrices:2 consists:1 second:13 follow:1 further:3 oneto:1 subobject:5 canonical:32 even:3 dissertation:1 what:3 appear:2 invertible:1 giving:2 d2:2 section:13 find:3 current:1 version:2 currently:1 above:24 sup:1 new:5 appeal:2 consisting:2 exercise:4 q1:2 focuses:1 notions:2 αij:2 mem:1 respectively:12 pushing:1 equals:3 here:10 ranges:1 following:9 objects:1 pub:1 others:2 directions:1 along:4 strong:4 change:1 morphisms:16 obtained:1 remark:18 tx:2 remarks:3 study:2 studied:1 s1:3 arens:1 products:4 pick:1 usually:5 olsen:1 studies:1 sci:1 quotient:19 uniquely:5 via:3 useful:1 subcategory:1 prefer:1 limt:1 replace:1 annihilator:1 apply:2 cuntz:1 tools:1 unit:1 use:5 takes:3 working:4 prove:1 positive:2 contains:6 properties:2 few:1 linear:1 call:6 therefore:1 associated:5 type:2 diagrams:2 more:11 duals:2 initiated:1 brings:1 operators:3 under:2 envelope:13 pairs:4 berlin:2 particular:2 known:1 cases:1 iii:8 must:1 springer:2 isomorphism:5 word:1 concretely:1 ih:1 recall:2 equation:3 work:4 arveson:4 cai:23 paragraph:4 obvious:8 splittings:1 canonically:1 making:2 trans:1 example:15 def:1 proof:37 claim:1 weaker:1 triple:1 give:6 preserving:1 share:1 purposes:1 generically:1 scand:1 assumptions:1 numbers:1 want:1 sense:6 mn:2 conversely:7 verlag:2 preferably:1 needs:2 hhh:1 turn:3 rather:1 discussion:2 six:1 pedersen:4 carries:1 centralizers:1 write:5 maps:17 nontrivial:6 occasionally:1 criterion:1 ensure:1 map:51 isomorphically:3 description:1 algebra:95 may:27 max:10 after:3 variant:5 containing:4 ball:5 diagram:27 consequence:1 inst:1 seemingly:1 coming:1 date:1 representations:4 constants:1 short:1 natural:2 third:4 lemmas:1 lines:2 corona:4 element:1 hypotheses:3 so:26 sn:3 representation:9 nondegenerately:1 order:3 operations:1 restriction:8 holds:1 toyama:1 indeed:8 over:3 displayed:1 choose:1 course:5 paper:21 through:3 thesis:1 banach:12 mentioned:2 existence:2 satisfies:2 loring:2 its:10 pup:1 le:1 group:4 how:2 chosen:1 interesting:7 coordinates:1 actually:3 complex:1 systems:3 constitutes:1 suspension:2 main:1 setting:7 split:9 maximal:9 non:1 ssss:2 mention:1 kaneda:1 they:7 acta:1 oxford:2 now:7 discuss:3 developments:1 easily:6 term:29 itself:1 homomorphisms:8 occasions:1 university:7 arrows:4 fs:3 iff:6 inequality:2 arrow:9 each:2 found:2 characterized:1 mean:2 subobjects:2 ann:1 domain:1 transcribe:2 ei:1 simplicity:1 doing:1 unitization:9 idea:1 related:3 constitute:1 bijective:5 literature:3 tˆ:2 our:16 thing:1 eq:1 es:2 out:3 category:10 pullback:14 shown:1 dominates:1 matrix:3 unital:74 res:1 furthermore:1 since:12 induces:4 douglas:1 replacing:3 contained:1 dominated:3 reader:6 denoted:2 formula:4 induced:3 suffices:1 math:20 shows:4 bade:1 earlier:2 theory:17 blecher:14 monotone:1 diagonal:2 free:1 quite:4 completely:78 necessarily:2 complicated:1 york:1 subalgebras:4 publ:1 beginning:1 generate:1 kribs:1 definition:5 enormous:1 cais:2 language:2 could:1 similarly:12 david:12 ordering:4 place:2 hence:17 onto:8 phrased:1 first:29 separable:3 reversing:1 already:2 bijection:4 powerful:1 restrict:1 simplified:1 least:2 another:4 specificity:3 katsoulis:1 precisely:1 open:1 given:29 πa:4 their:6 introduction:2 top:4 approximately:35 needed:2 assumption:1 merdy:1 too:3 gives:9 centered:2 tool:2 exactly:2 proving:2 part:1 chasing:2 july:1 than:1 kind:2 determines:2 functoriality:1 characterizations:1 was:1 quantum:1 namely:7 preparation:1 future:1 contrary:1 monomorphism:1 toeplitz:2 bet:3 projections:4 pointed:1 generality:1 ran:1 topics:1 modern:1 argument:4 say:11 need:5 seen:5 saw:1 any:29 contents:3 lie:1 constructions:2 zero:1 min:27 lim:3 latter:13 thorough:1 note:15 sciences:1 ideal:23 rome:1 take:2 forces:1 encyclopedia:1 coincide:1 sect:1 play:1 regard:1 multiple:1 shall:4 busby:25 object:3 most:5 regular:1 eight:1 pair:1 class:1 enveloping:3 inequalities:1 consequences:1 clear:3 sometimes:2 stronger:1 berg:1 quotienting:1 paulsen:2 usual:5 notion:2 fact:13 bais:1 particularly:1 show:4 appearing:1 notations:1 spaces:4 determined:2 trivial:7 agrees:1 completion:4 o:2 q2:3 based:1 popescu:4 explain:1 assertion:7 contraction:5 lemma:42 only:6 smallest:2 subsection:1 rich:1 factor:1 interested:1 dn:3 do:5 generalizations:1 dj:2 envelopes:7 notation:3 get:4 between:8 sss:2 da:1 ones:1 probably:1 boils:1 crossed:1 neither:1 closure:1 gelu:1 covering:29 hereditary:1 conditions:2 arxiv:1 twice:1 common:11 double:1 london:1 fixed:1 silently:1 view:2 kernel:2 requirement:1 set:10 exists:14 unpublished:1 subextension:18 edition:1 see:56 justification:1 result:16 japan:1 terms:11 theoretic:1 subject:1 enveloped:4 fails:1 said:1 tensor:5 nondegenerate:3 nuclear:1 review:1 uζ:1 boundaries:1 state:3 classes:5 cambridge:8 closed:27 hopefully:1 invariant:22 boundary:8 previous:1 approach:2 preserve:1 recently:1 extend:2 missing:1 importance:1 attention:1 weak:2 however:8 multiplier:1 outer:2 contractive:26 bivariate:1 ker:7 topology:1 restrictions:2 essentially:2 last:26 met:1 many:8 taking:6 equal:3 etc:2 houston:5 context:1 eilers:2 uni:1 finds:1 reside:1 strongly:6 fillmore:1 point:1 simple:2 berkeley:1 subextensions:9 cf:1 ce:67 represented:1 ab:7 adjoining:1 likes:1 sequences:1 moreover:2 writing:1 blackadar:2 selfadjoint:1 amer:2 described:3 commutative:4 hay:2 addition:2 three:2 been:1 pb:4 int:1 much:5 combined:1 interest:3 basic:2 ph:1 algebras:80 exactness:1 define:2 surjective:8 direction:3 corresponding:2 deeper:1 both:6 concerning:1 ando:1 subspace:3 coincides:1 silov:1 neumann:4 implied:1 lift:4 deep:1 mail:2 lifting:1 c2:7 c1:7 general:11 former:1 those:3 case:27 splits:1 invariants:1 leave:8 means:1 neal:1 will:37 while:1 suppose:12 situation:1 property:11 characterizing:2 correspondence:7 satisfying:1 almost:1 vi:5 von:4 thus:18 iv:6 ii:5 characterize:2 ik:3 ij:1 cone:2 dual:3 ia:1 bij:7 ic:1 oper:1 different:2 author:1 pushforward:1 commuting:5 same:7 clearly:10 parts:2 viewed:3 largest:2 dilations:1 several:3 subalgebra:24 composition:6 isometries:4 interpolation:1 fairly:1 used:3 embedding:1 closest:2 forced:1 vvv:1 functions:1 hand:2 domains:1 viewing:1 levels:2 purpose:1 supposing:1 identity:9 weakly:1 no:8 well:2 thought:1 without:2 sets:1 left:2 isometry:12 comment:1 construct:2 endeavour:1 kkk:1 just:16 being:7 generally:2 resp:10 obtain:4 rest:1 diagrammatic:1 identify:1 correspondences:2 facts:5 projection:10 adv:1 readers:1 regarded:1 characterization:2 seems:1 topical:1 valid:3 extends:14 easy:12 theorem:24 semigroup:3 available:1 aspects:1 bii:1 read:1 mor:4 showing:4 possible:2 corresponds:1 five:2 press:5 using:5 variants:9 unique:8 advanced:1 loss:1 necessary:2 like:2 follows:28 nonunital:6 werner:2 either:1 always:1 works:1 essential:27 bα:1 mathematical:1 www:1 right:5 often:4 classical:1 sequence:5 some:9 begin:1 ideals:13 deduce:1 acad:1 b1:9 b2:4 respect:2 proper:7 proofs:1 matching:1 happens:1 vol:1 rarely:1 bottom:3 univ:2 dritschel:1 isometrically:7 extensively:1 when:2 does:3 exposition:2 anni:1 assuming:1 superextension:2 proc:2 minimal:4 refer:2 bd:2 ba:7 extendibility:2 kyoto:1 equivalent:7 palmer:1 bi:1 defines:1 bu:1 bp:1 although:4 hilbert:4 injective:4 meyer:6 chapter:2 compose:1 about:4 central:3 would:1 extension:117 algebraic:4 industry:1 discussed:1 factors:1 oa:9 constituting:1 mutually:1 range:7 a2:9 extensions:55 ti:8 cmax:48 automatically:2 morphism:37 duke:1 soc:3 contractions:5 inclusion:7 into:11 integral:1 isomorphic:5 down:1 lies:1 appropriate:1 because:2 references:1 determine:1 ηp:1 operator:85 next:4 technically:1 rows:1 additional:2 homology:1 assumed:1 support:4 there:46 compacts:2 approximate:4 specifically:1 start:2 restricts:1 versal:1 way:2 forward:1 pushout:2 sections:1 treat:1 bidisk:1 complete:34 form:1 sequel:8 triangular:2 but:8 hh:2 construction:3 functor:2 line:1 true:3 hamana:3 pi:7 middle:18 emin:5 uu:1 wish:1 inside:2 up:4 abstract:1 below:5 limit:3 uh:2 similar:5 called:4 muhly:4 examples:2 aa:1 wants:1 irish:1 later:3 proved:1 ad:1 defined:4 cover:14 universal:10 describe:2 condition:3 covers:13 denote:1 ap:1 ensuing:1 journal:1 families:1 exist:3 identities:1 check:2 constructed:4 vertical:10 again:4 extending:2 faithful:3 dotted:2 nonetheless:1 amounts:1 whereas:1 commutes:4 composing:1 ext:21 lately:1 field:1 other:19 role:1 details:5 department:2 mathematics:2 picture:1 briefly:1 elements:2 generates:5 lend:1 sided:7 remarked:1 a1:16 generated:18 important:3 bounded:4 peak:1 pushforwards:1 independently:1 implies:3 address:2 assume:16 space:6 modules:2 together:3 equivalently:2 portion:1 noncommutative:3 image:3 time:2 appl:1 starting:1 original:5 once:1 |
0704.3093.txt |@word gt:2 consider:10 illustrates:1 gy:10 ala:1 illustrated:2 gf:1 edu:1 consists:1 denotes:2 equivalences:1 whose:2 equivalence:13 unknotting:1 quasi:2 th:4 under:2 presentation:6 case:7 string:2 g1:5 choice:2 corollary:10 presented:1 turns:1 large:1 recall:3 indices:2 neighborhood:2 γi0:3 wirtinger:1 sign:1 zero:9 xf1:2 odd:2 ribbon:4 residue:1 index:10 what:1 appear:2 trivial:21 section:7 expressed:2 above:1 coefficient:1 full:3 notions:1 degree:3 mem:1 respectively:4 component:30 here:1 desired:1 groups:1 address:2 represented:1 along:1 appears:1 change:2 obtained:7 remark:1 divisor:1 suitably:2 study:2 studied:1 spheres:1 resulting:1 california:1 changes:2 honor:1 baptiste:1 via:1 homotopic:6 family:1 bounds:3 apr:1 figure:12 usa:1 levine:3 positive:2 stated:2 negative:2 next:1 depicted:2 call:1 doubling:6 more:4 sort:1 particular:4 known:3 iii:1 word:4 tokyo:2 deformed:1 science:1 longitude:3 ij:8 following:4 example:2 proof:6 f1:14 f2:5 links:24 give:1 organized:1 seifert:4 numbers:1 g2:5 provide:3 holds:1 iiii:2 maps:2 nontrivial:1 shibuya:9 instead:1 sato:3 map:1 may:3 singularities:4 hence:3 inst:1 date:1 fi:4 unlink:4 fm:7 natural:1 w2n:1 grant:1 so:6 fundamental:1 subsequently:1 order:2 typical:1 knots:4 milnor:39 ith:5 move:7 paper:2 borromean:1 japan:4 satisfies:4 still:2 its:1 before:1 group:1 la:1 ln:2 lm:11 lj:1 lk:1 actually:2 hm:1 mail:2 main:2 meridian:1 non:4 isotopies:3 murakami:1 introduce:1 band:7 57m27:1 they:2 57m25:1 now:3 easily:1 february:1 2p:1 invariants:35 university:3 sufficiently:1 2f:2 l1:4 crossing:4 2m:3 2n:6 side:2 2k:12 int:1 series:3 osaka:2 a2r:2 related:2 society:1 connect:1 our:3 operation:7 special:1 rr:2 since:8 research:1 denoted:1 formula:2 rn:3 induction:1 math:10 shows:1 theory:2 isotopy:3 base:3 homologous:4 usual:1 generate:2 definition:4 geometry:1 phrases:1 omit:1 times:2 length:10 place:1 consequence:2 promotion:1 first:5 xj:3 xi:1 habegger:1 symmetry:1 xm:19 variables:1 xf:10 number:9 linking:6 xy:1 relations:1 another:2 lefschetz:1 given:7 similarly:1 introduction:2 cambridge:1 lenght:1 xik:8 least:3 xir:1 πq:10 proving:1 immediate:1 authors:1 x1:19 representing:1 2f1:1 cyclic:1 double:17 second:2 xi1:7 powers:1 generality:3 ann:2 generalization:1 lin:1 already:1 need:1 null:7 any:6 generalizes:1 constructions:1 magnus:5 self:31 oriented:1 k2:2 k1:9 potential:1 generalized:2 wonder:1 cobordant:1 formulas:3 converse:2 algebraic:1 involving:3 class:1 observation:1 kj:3 ki:11 coincides:2 km:30 proceedings:1 hi:3 tech:1 left:1 notion:3 show:2 supported:1 fleming:2 notations:1 substituting:1 d2:5 d1:2 homology:1 being:2 only:2 princeton:2 generators:1 local:2 hopf:2 dm:2 notation:2 di:2 preferred:1 ones:1 words:2 closure:1 conditions:1 arxiv:1 doubled:1 twice:2 common:1 contain:3 fixed:1 set:2 modulo:2 ser:1 exists:1 intelligence:1 maximum:1 namely:1 result:9 subject:1 surfaces:5 γi2:2 γi1:2 satisfying:1 rings:1 mth:3 µl:22 written:1 various:1 αi:5 invariant:6 boundary:9 αj:1 αm:8 terms:3 wn:11 wk:6 vanishing:4 hypothesis:1 ji:4 key:1 wp:1 amer:2 topology:2 cor:1 strands:2 taking:1 equal:2 homotopy:8 embedding:2 γij:2 comes:1 ck:2 among:1 ucr:1 point:1 tori:2 ca:1 dimensional:1 simply:1 moreover:3 li:6 xe:6 ensures:1 pq:1 symposium:1 union:8 three:1 been:1 defined:3 pi:1 generating:1 corresponding:1 indeterminacy:2 observe:2 denote:12 manifolds:1 applied:1 multi:7 solid:6 will:1 suppose:4 behavior:2 aid:1 endpoints:3 wki:4 wkj:1 wkm:9 ip:2 twists:5 ir:1 thus:2 surface:1 ii:8 disjoint:12 ik:4 itself:1 ramifications:2 ambient:2 vanish:1 whitehead:26 meridians:2 author:2 same:4 split:1 xj3:1 xj2:1 proved:1 finite:1 higher:2 satellite:6 extended:1 see:3 i1:6 i2:3 hand:3 uses:1 a2n:6 lower:1 well:1 thought:1 theses:1 without:3 greatest:1 components:4 jean:1 latter:1 subgroup:1 akira:1 monomial:1 generally:1 half:2 obtain:3 rest:1 torus:4 using:1 note:4 preprint:3 classification:3 instance:1 regarded:1 theorem:19 riverside:1 bij:2 kills:3 bands:1 possibly:2 philos:1 jp:1 know:1 knot:10 press:1 integer:3 formal:1 loss:3 nakanishi:4 like:1 follows:8 disks:5 yields:1 either:2 always:4 yasuhara:13 right:1 sequence:4 some:7 acad:1 proper:1 proofs:1 nonzero:1 ohyama:1 everything:1 does:2 intersections:2 proc:3 scientific:2 power:1 equivalent:3 each:2 pp:1 expansion:5 tubing:2 relating:2 repeating:1 γk0:2 integers:4 central:1 world:1 prove:5 o:15 nonvanishing:2 mutually:5 regular:2 ox:11 introduced:1 soc:4 contains:1 statements:2 conway:1 into:2 bound:3 copies:1 because:1 references:1 additional:2 removing:1 strictly:1 there:3 long:1 low:1 was:2 suzuki:1 function:1 form:1 wni:15 but:1 wnm:11 repeated:1 construction:6 link:79 delta:7 true:1 partially:1 up:2 us:1 below:2 sum:2 similar:1 called:4 abusing:2 ac:1 ordered:1 ai:1 certain:1 abstract:1 general:3 single:2 ar:2 moves:2 commuting:1 check:1 no:1 whereas:1 when:2 ne:2 nx:2 other:2 department:2 mathematics:3 homotopically:6 happens:1 elements:2 brunnian:14 γip:1 a1:3 a0:3 a3:2 a2:1 implies:6 assume:2 equivalently:1 |
0704.3094.txt |@word alternatives:5 results:4 p02:1 p01:1 edu:2 consists:1 concerned:1 deterministic:1 removal:1 finally:1 rhythm:2 under:2 stochastic:2 case:2 supported:1 straightforward:1 brownian:7 rise:1 corollary:1 notes:1 t2:8 spacecraft:1 t1:8 discrete:1 vector:1 small:1 noted:1 willsky:4 sign:1 jump:1 street:2 dynamics:3 linear:5 errors:1 filtration:1 consistently:1 version:1 above:3 sup:1 new:2 journal:2 component:1 address:1 ratio:1 equations:1 change:10 cyclical:1 technical:1 study:1 recordings:1 bucy:1 navigation:1 sandell:1 apr:1 overestimating:1 1st:2 use:1 would:1 positive:2 negative:1 process:5 tartakovsky:2 more:1 becomes:1 apparent:1 moustakides:2 berlin:1 particular:1 known:2 cases:1 hold:1 iii:1 springer:3 science:2 inertial:1 work:1 mt:2 incidents:2 following:5 example:4 proof:1 control:6 calculation:1 december:1 minimum:1 sense:1 verlag:3 filter:4 monitoring:3 goal:1 dwt:3 criterion:2 optimal:3 allowable:1 faulty:1 classify:1 stock:1 simplicity:2 ft:4 information:1 fx:1 fy:1 applications:4 summarize:1 fm:8 constants:1 whenever:1 author:2 algorithms:1 april:1 wiener:1 paper:2 including:1 statistical:2 signs:1 y2:1 ieee:3 its:1 interesting:1 nikiforov:1 systems:7 mail:2 main:2 defining:1 non:3 finance:1 propose:1 records:1 now:2 hall:1 february:1 quadrangle:2 university:3 siegmund:1 fτ:1 each:1 cliffs:1 mean:5 differential:1 ee:1 gaussian:4 society:1 used:2 measure:2 our:1 research:2 reader:1 medicine:2 lecture:1 sensor:4 ri:1 ecg:1 foundation:1 theory:2 cars:1 standard:1 approaches:1 california:1 york:2 likelihood:1 definition:2 british:1 motion:7 american:1 heartbeat:1 first:1 probability:3 variables:1 done:1 another:1 quality:1 evaluations:1 introduction:1 unknown:2 system:3 their:2 observations:1 linearities:1 2fm:6 gives:1 continuous:3 part:1 princeton:6 jumps:1 andersson:1 depends:1 submitted:1 classes:1 motivation:1 false:1 locations:1 need:1 seen:2 constrained:1 seek:1 any:4 min:2 lim:2 self:1 instance:2 generalized:1 performance:1 techniques:1 underestimating:1 begin:1 multiple:1 transactions:3 price:1 measures:2 involving:1 dynamic:1 class:1 observation:1 teoriya:1 gyro:1 medical:1 later:1 drifts:1 2nd:1 proceedings:1 velocity:1 bulletin:1 random:2 find:1 based:2 parameters:1 eτi:1 only:1 annals:1 identification:1 notation:1 means:1 report:1 during:1 dt:2 dp:3 areas:1 processes:2 arxiv:1 greene:1 vincent:1 automatic:3 exists:1 national:1 detection:14 edition:1 see:11 changes:1 best:4 subject:2 detect:1 twosided:1 please:1 quickest:2 µi:2 between:1 prentice:1 approach:2 triplet:1 jl:3 wt:1 distinguish:1 both:1 fault:1 according:1 etc:1 context:1 estimation:2 adapted:1 cm:7 point:1 asymptotically:3 harmonic:2 innovations:4 weatherall:1 cs:1 respect:1 described:2 due:1 been:2 trigger:1 interest:1 crawford:1 define:4 direction:1 families:1 kalman:5 observe:1 optimality:1 systematic:1 c2:4 c1:4 applied:2 multi:1 will:1 institute:1 optimization:1 abrupt:5 many:1 stopping:12 situation:1 procedure:1 steklov:1 sequentially:1 different:2 grant:1 surveillance:3 independent:1 extended:2 nj:3 driven:1 moment:1 changing:1 tracking:1 center:1 yx:1 onedimensional:1 depending:1 analysis:2 ccr:1 machinery:1 alarms:1 model:8 olden:2 parametric:1 proposed:1 λx:1 sources:1 alternative:1 λm:6 density:1 character:1 yt:4 corollaries:1 theorem:2 sequential:2 rules:9 possible:1 corresponds:2 test:1 traffic:1 unique:1 englewood:1 e02:3 e01:3 specific:1 either:1 become:1 disorder:1 essential:1 mathematical:3 methods:2 sequence:1 maneuvering:1 cusum:13 minimax:1 extensively:1 providence:1 innovation:1 minimal:1 refer:2 noise:1 drift:3 equivalent:1 epidemiology:1 although:1 extension:1 constraint:1 o:2 angeles:1 chow:1 specifies:1 references:1 statistics:5 log:3 assumed:3 pages:1 los:1 was:1 dξt:1 form:1 but:3 failure:1 true:1 whether:1 ut:2 us:2 placed:1 problem:3 similar:1 display:1 detailed:1 model1:1 denote:2 engineering:4 formulation:2 flight:2 inf:7 freeway:1 functions:1 no:1 other:3 electrical:2 details:1 department:2 mathematics:1 poor:3 models:2 sided:3 ξs:1 ξt:3 includes:1 seismology:1 jones:1 max:4 rule:9 time:6 failures:1 |
0704.3095.txt |@word homomorphism:9 consider:5 funct:6 separates:3 results:7 leads:1 proposition:4 computation:1 edu:3 intricate:1 partial:1 research:2 nster:1 compact:6 whose:1 isometric:15 inverse:1 terms:1 tx:1 equivalence:2 factoring:1 tn:1 uniqueness:2 under:4 include:2 applied:1 orthogonal:2 very:4 choice:2 corollary:8 every:2 entries:1 inherited:1 matrices:6 categories:1 entire:1 squares:2 tro:18 did:1 t2:4 fewer:1 t1:4 leave:1 involution:3 vector:1 annihilates:1 recall:2 quick:1 anal:6 der:1 work:1 direct:4 literature:1 consists:1 second:4 odd:1 theory:8 even:1 trick:1 appear:2 section:9 hereditary:1 reminiscent:1 version:4 above:14 sup:1 consisting:1 contrast:1 paulsen:1 full:1 respectively:1 loose:5 certainly:1 here:6 groups:1 address:4 quite:1 z1:11 z2:4 morphisms:5 sending:1 remark:7 technical:1 study:2 studied:1 homeomorphism:1 experience:1 muenster:1 products:1 permutation:1 usually:4 implement:1 studies:1 quotient:5 uniquely:1 via:2 useful:2 projection:3 classification:1 extra:1 apr:1 pxp:1 replace:3 apply:1 earlier:1 univ:2 unit:4 use:4 quasi:1 takes:4 would:1 prove:1 remains:1 positive:53 stated:3 finally:2 next:5 m5:2 alische:1 therefore:1 m2:1 taken:2 more:7 hahn:1 operators:3 ti:2 envelope:25 aware:1 warn:1 particular:3 known:4 cases:1 must:1 isomorphism:8 ma:1 science:1 equation:1 mn:26 mk:2 mu:1 arveson:2 remain:1 paragraph:6 obvious:3 codimension:1 concepts:2 following:7 making:1 example:14 proof:21 triple:1 give:2 allowed:1 topic:1 contradicts:1 o:6 sense:11 spanning:5 conversely:1 occur:1 needs:1 end:5 z22:2 rather:1 discussion:2 holds:2 bn:2 write:8 how:1 nontrivial:6 granville:1 acta:1 map:25 de:1 blocks:3 description:1 algebra:45 may:18 after:2 variant:8 different:2 diagram:3 hence:14 cambridge:4 forschungsgemeinschaft:1 short:2 natural:20 four:1 whenever:2 author:3 lines:1 deutsche:1 assign:1 hypotheses:1 fortunately:1 ones:1 so:17 fundamental:1 representation:1 order:15 houston:3 oh:1 indeed:4 over:1 paper:13 through:1 banach:2 mentioned:5 satisfies:1 avenue:1 its:7 roots:2 before:1 le:1 thank:1 maps:3 chosen:2 interesting:1 inclusion:1 systems:3 mail:4 main:4 might:2 setting:5 maximal:3 them:2 good:1 practice:1 isomorphic:1 mention:2 they:4 identically:4 oxford:2 now:6 discuss:1 easily:5 term:1 several:1 corners:1 university:5 classified:1 arrows:1 iff:9 reasonable:1 each:2 found:1 universit:1 characterized:1 mean:2 subset:3 square:2 ei:1 fairly:1 series:1 hard:1 used:1 bijective:1 ball:2 our:4 out:1 shown:3 matrix:14 space:57 restricted:1 since:18 induces:3 reu:1 contradiction:1 contained:2 multiply:1 adapt:1 reader:3 formula:3 size:1 suffices:1 correct:1 math:8 shows:4 foundation:1 normed:2 linear:16 blecher:12 given:9 possibility:1 enveloping:1 completely:41 complicated:1 put:1 equipped:1 subalgebras:3 hand:2 beginning:1 definition:9 pairs:1 could:1 omit:1 riesz:2 david:6 turn:2 consequence:2 onto:4 think:1 first:10 there:44 mit:2 variables:1 primary:1 restrict:2 xy:2 done:2 least:1 another:5 carry:1 ring:1 precisely:1 open:3 illustrate:2 unexplained:1 necessarily:4 smaller:1 tripotent:2 similarly:2 introduction:4 1x:20 xij:2 system:11 construct:3 their:3 zeros:1 observations:1 statement:1 merdy:1 gives:4 big:2 centered:1 kirkpatrick:8 continuous:1 proving:1 satifying:1 part:4 too:1 authors:1 x2:1 attempt:1 copy:7 than:5 positively:1 distance:1 require:1 namely:7 project:1 classes:1 publ:1 were:1 treated:1 pre:1 motivation:1 sees:1 rewrite:1 ran:1 correction:1 argument:1 already:3 say:2 need:1 seen:1 seem:1 element:1 seek:1 any:23 viewed:3 latter:6 note:8 ideal:5 internal:1 take:4 forces:3 coincide:3 canonical:15 tool:3 spectral:1 shall:2 most:1 regular:1 experiences:1 pair:2 kay:7 sfb:1 subspaces:2 characterizes:1 considered:3 clear:2 sometimes:4 coincides:2 possesses:1 points:4 typically:1 notion:3 fact:5 particularly:1 show:7 supported:5 recipe:2 z12:2 norms:3 spaces:37 subbimodule:2 analogue:1 find:1 state:3 topological:5 should:2 lemma:10 only:5 explicitly:5 developed:1 constant:2 interested:1 hope:3 handle:1 closed:5 notation:3 familiar:1 routine:2 cannot:2 dz:1 despite:1 compute:1 conjunction:1 him:1 secondary:1 closure:1 approach:1 arxiv:1 remove:1 involutive:6 contain:1 london:1 homeomorphic:1 view:2 kernel:1 set:2 exists:19 national:1 toyama:1 see:31 radius:1 result:6 contains:2 nonstandard:1 subject:1 satisfying:3 westf:1 uθ:1 ways:1 positivity:4 functionals:1 boundaries:2 written:1 smallest:2 envelopes:6 between:6 invariant:1 boundary:22 conditions:1 preserve:1 matricial:2 embeddings:2 extend:3 importance:1 adjoint:1 weak:3 however:5 predual:1 equals:1 densely:10 ji:1 tripotents:4 contractive:5 jb:1 last:6 taking:1 barely:1 context:1 uni:1 passing:2 argue:1 comes:1 cn:6 point:3 simple:5 addressing:1 undergraduates:2 dimensional:3 werner:10 adjoining:2 effros:1 spans:4 associated:2 selfadjoint:26 commutative:3 hay:1 locally:4 three:1 been:2 basic:7 algebras:7 abstract:1 annihilating:1 define:2 surjective:5 direction:2 corresponding:1 versa:1 embeddable:1 subspace:12 silov:1 cones:12 noncommutative:15 understand:1 denote:1 present:1 case:23 pierce:3 p1:1 defining:1 neal:10 easier:2 will:16 suppose:15 aij:1 situation:1 property:23 procedure:1 correspondence:1 larger:2 induced:1 almost:2 von:1 thus:19 pzp:1 ih:4 properties:4 cone:46 dual:3 c0:9 vanish:3 containing:12 grant:2 generic:1 make:1 same:2 clearly:3 matthew:6 arguments:1 largest:2 proved:1 finite:3 subalgebra:3 composition:1 isometries:3 difficult:1 independent:2 finish:1 embedding:7 numerical:1 companion:2 arrived:1 uˆ:2 identity:7 recent:1 acknowledgement:1 well:7 concrete:2 dominating:2 dimension:1 usual:8 isometry:17 λp:1 just:5 less:1 being:2 generally:2 resp:2 shilov:21 rest:1 assigns:1 identify:3 thanks:1 summed:1 facts:3 previous:2 contradicting:1 intersection:3 preprint:2 characterization:1 seems:1 except:1 vij:1 valid:1 extends:2 easy:10 theorem:32 playing:1 denison:3 around:1 depends:2 isomorphisms:1 involutions:1 spanned:6 cf:1 possibly:1 ce:46 facial:1 press:2 using:2 variants:1 unique:2 moreover:3 advanced:1 occurring:1 institut:1 injectivity:2 fractionally:1 wilhelms:1 alternatively:1 reduces:1 nonunital:7 noted:2 steps:1 arbitrary:2 works:1 essential:1 therein:1 because:2 often:1 classical:4 some:7 unnecessary:1 ideals:1 understood:1 deduce:1 repeat:1 examples:1 b2:2 specified:1 extended:1 dense:1 pletely:1 isometrically:5 subclass:1 dz1:2 does:4 linearly:1 proc:1 minimal:4 refer:1 kyoto:1 equivalent:3 bi:4 although:1 post:1 hilbert:3 injective:2 about:1 central:6 extension:10 extending:1 choi:1 theorems:1 discussed:2 oa:1 recalling:1 range:1 a2:8 germany:1 introduced:1 consequently:1 block:5 morphism:9 soc:1 contractions:1 follows:14 into:13 bound:2 nsf:1 lies:3 appropriate:1 dualities:1 references:2 operator:82 neumann:1 span:20 switches:1 strictly:1 initial:1 approximate:1 specifically:2 start:2 restricts:3 inner:1 way:1 unitization:22 biggest:2 call:4 was:9 naturally:1 function:2 complete:21 form:1 offer:1 strukturen:1 but:5 construction:2 true:1 partially:2 hamana:4 pi:2 applying:1 versions:1 inside:3 up:2 us:1 schreiner:1 below:2 dms:1 limit:2 uh:1 sum:1 embed:1 similar:1 called:3 b1:2 strongly:1 later:1 ordered:58 defined:4 certain:2 universal:18 describe:2 condition:7 a1x:2 general:7 exist:3 check:2 functions:3 no:9 mathematik:1 image:4 when:1 unital:20 multipliers:1 application:2 other:7 remarks:2 details:3 papers:3 department:3 mathematics:4 nice:3 mathematisches:1 elements:3 a11:1 generates:2 corrected:1 sided:1 geometrische:1 contradicted:1 polynomials:1 hausdorff:1 generated:10 important:2 bounded:2 massachusetts:1 maximally:1 structure:3 independently:1 implies:4 vice:1 assume:2 required:1 modules:2 together:1 having:1 equivalently:2 ternary:50 simplicity:1 n2:1 requires:1 extreme:1 |
0704.3096.txt |@word homomorphism:5 four:20 parameterization:1 consists:6 assembled:1 whose:1 calculate:3 aut:17 under:7 every:3 z10:1 convenience:1 vector:10 jhep:1 codim:1 consistent:3 direct:2 scrutinize:1 street:1 even:5 sheeted:1 above:24 new:3 consisting:2 simultaneously:1 here:12 fairly:1 obtained:13 study:12 guide:2 suitable:60 changes:2 appropriately:3 divide:2 classification:9 explained:3 sloane:1 total:1 univ:2 unit:2 would:8 bundles:10 tabulated:1 call:6 therefore:21 type:38 separated:2 holy:1 brings:1 naive:1 must:79 md:6 springer:1 ma:1 mm:1 setup:2 work:11 mk:1 mw:20 deficiencies:5 root:17 example:1 indicated:2 give:10 preserving:7 involve:1 cartan:1 want:20 linearized:1 φx:1 end:2 provide:2 how:3 nontrivial:3 symposium:1 ordinary:2 classify:9 classifying:1 description:2 earlier:1 lab:1 diagram:3 shioda:4 lat:4 summarize:1 types:9 fibers:114 descends:2 jungle:1 order:107 restriction:1 desingularization:1 deck:1 over:25 satisfied:1 satisfies:8 before:1 fix:10 imm:4 writing:1 imr:4 hidden:1 eventually:2 them:6 combination:1 collide:9 they:13 singularity:1 invariants:2 classified:5 chuck:1 each:61 mean:4 perimeter:3 lifted:8 i8:6 t2:1 literature:1 combining:7 extract:4 restricted:2 crucial:1 fellowship:1 at3:1 reader:1 rl:3 ri:18 interchanging:1 i2:52 linear:5 given:54 free:56 standard:12 admits:1 hand:2 r4:6 r5:1 r6:1 r7:1 r0:30 r1:32 r2:8 r3:4 r8:2 δij:1 onto:1 already:2 rank:2 restrict:1 another:4 illustrate:1 degenerations:2 triality:1 needed:2 listed:9 z5:6 john:1 persson:9 finitely:2 showed:4 princeton:2 second:24 classes:1 minus:4 mind:1 spectrum:2 seen:1 seem:1 tells:2 contents:1 relatively:1 latter:4 responsible:1 isolated:1 though:1 involving:1 observation:1 upenn:1 brackets:1 points:40 sum:4 came:1 rittenhouse:1 d6:3 subtle:1 d4:51 d5:3 noriko:1 topological:2 rick:1 dn:4 do:8 dm:6 sense:4 subspaces:1 report:1 runs:2 covering:3 thanks:2 observed:1 depends:3 decided:1 result:9 discussions:1 sporadic:1 subject:1 birational:1 µi:2 preserve:2 terms:3 nature:1 component:37 however:16 topology:1 analytique:1 genus:1 presumably:1 height:11 straighforward:1 tony:1 commutative:3 basis:7 union:12 simplification:2 formalizes:1 three:15 been:2 interest:2 basic:2 kodaira:13 θi:1 families:2 lift:3 φp1:2 worked:2 manifolds:1 transformation:1 aim:2 suppose:16 applies:1 property:2 leaves:2 mistake:1 τp1:22 n2l:1 ir:7 iv:47 ii:24 need:13 ik:2 im:18 containing:3 specialization:10 perform:1 make:4 intersecting:22 complex:14 split:3 phenomenology:2 several:1 i9:1 independent:1 i1:32 i0:45 i3:10 contr:1 i4:31 i6:11 subgroups:3 specialize:1 left:1 just:2 rotated:2 transforms:1 previous:12 adding:1 infinitely:1 easy:7 τb2:1 breaks:2 possible:27 possibly:1 whichever:1 unique:2 1for:1 specific:1 steps:1 deal:1 sends:9 zariski:1 hodge:8 comments:1 everything:1 landscape:1 linearizations:5 bold:2 compactifications:4 properties:9 proceed:2 o:9 cvetiˇc:1 automatically:1 considerations:1 statements:1 obtaining:1 down:12 pair:29 4i1:28 4i2:16 accordingly:2 way:3 was:12 form:17 true:2 coset:12 compactification:2 simplifying:1 4ii:7 reinbacher:1 heterotic:8 b1:2 proved:2 abstract:1 covers:2 exist:3 check:4 dα:1 no:9 generally:1 vanishes:1 interested:4 formalize:1 nr:1 parametrizing:1 models:1 ξi:5 ξj:1 miranda:4 longer:1 assume:2 typically:1 together:1 ramification:2 time:2 n1:2 n2:2 neighbors:1 concept:1 ron:1 focus:3 grateful:1 remarkably:1 viceversa:1 inverse:3 finally:8 elliptic:137 string:9 orthogonal:13 geometrical:1 entries:5 dim:12 presented:1 did:2 turns:6 ox:1 leave:2 discrete:1 says:3 lefschetz:2 preimages:1 spectral:3 goes:3 unrestricted:1 satisfy:9 realizations:1 understanding:2 tangent:2 groups:36 address:2 change:4 sending:2 institute:3 endow:1 studied:3 accomplished:2 hospitality:1 useful:3 extra:1 prefer:1 prove:4 positive:4 scan:1 live:1 going:2 criteria:2 associated:12 theoretical:2 appendix:5 rigid:1 cases:64 cardinality:1 easiest:1 valued:1 deformed:2 values:1 following:18 ulf:1 claim:3 degenerate:1 permutations:3 confused:1 grassi:1 allowed:23 counting:3 conversely:4 occur:1 verlag:1 normalize:2 requirements:4 s3:15 s2:25 discussion:1 exceptional:1 s4:13 write:10 plus:6 parameter:4 divides:4 map:16 product:42 packings:1 may:13 produce:11 data:1 lifting:1 natural:2 outline:3 whenever:3 lemmas:6 explicit:7 yielding:2 su:6 st:3 sj:14 si:14 so:31 superscript:1 indeed:2 pointed:1 differs:1 still:1 group:110 thank:1 interesting:3 τb:158 coordinates:1 τx:17 listing:2 mail:2 main:7 non:139 introduce:3 half:1 now:39 discuss:1 name:1 possibilities:10 realistic:4 holonomy:1 ek:3 2the:1 happen:1 eq:2 canada:1 shown:3 factors:2 furthermore:1 squared:2 looking:4 contained:1 rational:106 formula:1 correct:1 after:1 theory:4 possibility:2 quite:2 mkd:2 complicated:1 e8:25 e7:20 e6:17 remainder:1 impose:2 yui:1 turn:3 think:1 first:36 origin:3 vacua:3 moduli:23 xz:1 simplified:1 directly:6 ring:1 open:3 constructing:1 little:1 necessarily:8 checked:1 indicate:1 1c:1 speaking:2 gives:7 braun:1 x3:1 eliminated:1 copy:1 than:8 wide:2 edition:1 require:2 future:1 pre:3 generality:2 ann:1 argument:7 say:4 recover:1 any:51 note:14 potential:2 take:15 sure:4 normal:2 neatly:1 algebraic:1 automorphism:103 formulae:1 remarks:1 considered:2 later:1 mri:1 sigma:2 precise:2 ovrut:3 show:14 spaces:1 fibrations:2 enough:1 analytic:1 only:50 explicitly:5 threefold:24 caroline:1 viewpoint:1 get:33 cannot:7 conjunction:1 prime:2 yield:3 summary:2 kernel:2 imposing:2 namely:3 surfaces:89 fails:1 satisfying:10 review:1 definite:2 representatives:1 behind:1 αb:185 roots:4 between:8 αi:1 geometric:2 αm:3 multiplied:1 notice:3 come:1 many:6 according:9 called:1 embedding:3 comes:3 overview:1 grants:1 moreover:8 considers:3 considering:2 submanifold:1 locally:1 direction:2 weierstrass:7 former:2 those:5 case:99 situation:2 characteristics:2 metric:1 threefolds:93 middle:1 fibration:15 different:9 same:31 constructed:9 status:1 trivially:11 totally:2 pennsylvania:2 roughly:2 without:2 components:49 model:25 dimension:11 manifold:3 when:20 resp:7 valuable:1 torus:2 aspect:1 multiples:1 blow:1 generator:3 except:3 lett:1 versa:2 complements:1 real:1 kills:1 easily:1 read:1 involutions:1 sums:1 admitting:2 vacuum:2 world:1 mod:30 particle:3 automorphisms:52 either:35 reduced:1 fixedpoint:1 deduce:1 specified:1 images:6 reasons:1 nonzero:1 dimensions:1 decomposition:1 ct:1 refer:2 power:1 equivalent:5 meets:1 shortest:1 central:1 discussed:2 mutually:2 neighbor:1 act:10 mixed:1 outlook:2 image:8 accounts:1 determine:7 hep:4 assumed:1 there:31 philadelphia:1 start:5 low:3 complete:15 pull:1 applying:1 multiplicity:2 ωv:1 embed:1 agree:1 multiplications:3 detailed:3 ag:3 certain:1 describe:3 am:2 general:11 tedious:1 again:3 semistable:1 sublattice:9 field:1 mathematics:2 massless:1 separate:2 includes:1 a1:62 a3:22 a2:26 a5:4 a4:5 a7:3 a6:5 included:1 curve:15 starting:1 original:3 consider:18 alg:1 commute:2 follow:1 research:5 preserves:7 equivalence:2 program:1 th:7 ti:3 norm:7 degeneration:3 belonging:1 straightforward:4 far:1 translations:3 induce:1 corollary:2 decide:1 deformations:10 condition:8 list:61 large:5 small:1 zero:51 further:1 promotes:1 canonical:3 subscripts:1 what:5 clock:1 section:143 brief:1 version:1 intersect:28 avenues:2 acknowledgments:1 full:5 mordell:31 strata:2 table:67 search:1 divisor:1 espace:1 permutation:2 action:32 narrow:1 quotient:37 uniquely:1 via:4 family:12 readily:1 takes:1 distinct:1 nucl:1 taken:1 2y5:1 twists:1 more:11 diamond:1 excluded:1 zeitschrift:4 constructs:1 perimeterinstitute:1 basically:1 particular:10 known:6 keeping:2 recall:9 equation:1 f0:72 stated:2 projectivization:1 suggestions:1 states:1 sphere:1 numbers:25 arise:3 νi:2 information:2 respective:1 goal:5 rather:4 acts:26 maps:1 specializations:17 algebra:2 singularities:6 par:1 coming:3 fi:2 choice:4 short:2 perhaps:1 fundamental:8 help:1 paper:9 through:5 its:32 schoen:14 affine:1 φb:4 conjugation:1 actually:2 harmless:1 deformation:3 motivates:1 thereof:2 bigger:2 peculiarity:1 homomorphisms:2 always:11 2a:8 irreducible:5 found:6 characterized:1 weight:1 energy:3 reduce:2 undertake:1 try:1 involution:1 since:47 induces:1 denotes:5 acting:18 ramified:5 induced:7 issue:1 occurs:2 fiber:148 story:1 base:16 beginning:1 generate:1 definition:15 pairs:34 similarly:4 consequence:2 waldram:2 number:26 done:3 construct:15 miss:1 differ:1 introduction:4 least:5 assumption:4 calculations:4 statement:1 relationship:1 part:6 translation:23 kind:27 determines:1 cyclic:14 double:2 determined:3 treated:1 motivation:5 tables:17 orders:4 wilson:1 constructions:1 built:1 depending:3 extracted:1 lifts:2 build:2 finding:1 province:1 added:1 most:6 tξ:21 kb:1 tζ:3 tη:3 tpm:2 sometimes:1 cover:4 subgroup:22 physics:15 commas:2 relation:3 find:21 parameters:3 αbb:1 generators:7 subsection:4 factor:2 abelian:9 notation:6 subfamilies:2 actions:8 combinations:1 lattices:12 resolve:2 arxiv:8 remove:1 investigate:1 vincent:1 groupe:1 set:16 calabi:111 see:13 αp1:2 theoretic:1 yau:109 mckay:1 various:7 permutes:4 subscript:1 conditions:7 recently:1 complementary:1 complement:13 vanishing:4 distinguish:1 both:15 last:5 nserc:2 whole:1 point:55 simple:5 2i4:7 2i2:26 2i3:11 2i0:2 2i1:41 dimensional:7 simply:86 consideration:1 throughout:1 pp:1 described:5 discriminant:1 due:3 strategy:2 reduction:1 pa:1 pi:11 meeting:1 empty:9 pm:12 referee:2 2iv:3 propositions:1 great:1 determination:2 2ii:15 p2:30 p3:6 p1:92 look:1 while:14 replaced:1 dms:3 couplings:1 resolved:2 vectors:8 vol:4 itself:13 triple:2 ready:1 rid:1 grant:1 resulting:4 used:5 7in:1 uses:1 circumvented:1 task:2 analysis:7 entry:3 reviewed:1 segregate:2 questions:2 using:20 regardless:1 doran:1 3i2:17 3i1:16 readers:1 source:1 beauville:2 theorem:16 guarantees:1 remaining:2 euler:8 isomorphisms:1 big:1 integer:13 bit:1 semi:1 follows:20 translates:1 separately:2 continue:1 pointwise:13 mathematical:1 sketch:5 33rd:1 some:20 back:4 understood:3 examples:6 ourselves:2 connecting:1 minimal:35 bb:2 perpendicular:2 step:4 weil:31 nowhere:2 relating:1 integers:6 constraint:2 remains:4 range:2 consequently:1 into:17 integral:3 isomorphic:7 nsf:2 locus:12 appropriate:3 ontario:2 oguiso:3 question:1 sections:73 opens:1 line:4 characteristic:6 up:9 us:18 paired:6 un:2 similar:1 clear:6 constant:1 defined:7 single:3 associates:1 defines:2 amounts:1 fixing:1 department:2 arithmetic:1 elements:12 generates:3 calculating:1 problems:3 polynomials:1 generated:20 linearization:10 structure:6 implies:6 vice:2 required:1 notion:4 equivalently:2 requires:1 results:5 gx:10 proposition:27 gb:27 edu:1 go:1 gl:3 contributions:9 issues:1 compact:1 concerned:1 send:4 uniqueness:1 yaus:2 stable:7 presently:1 implicitly:1 continued:1 tri:1 entire:3 positions:2 pullback:3 noted:1 configurations:15 zn:3 imply:2 odd:1 index:5 giving:1 antonella:1 expressed:1 henceforth:2 pantev:4 3a:1 exercise:1 degree:3 respectively:13 desired:3 explore:2 focused:1 others:1 z4:34 sing:2 z6:9 z2:150 z3:35 remark:13 dividing:1 involved:1 larger:3 products:15 honor:1 involves:1 4a4:1 apr:1 addressed:1 composes:1 apply:1 resolutions:2 use:14 recalling:2 next:4 few:7 becomes:2 iii:46 account:4 isomorphism:3 reproduce:1 obvious:2 codimension:1 meet:1 proof:32 calculation:7 loci:2 pieces:1 reconstructed:1 assumptions:1 pulling:1 sit:1 six:1 superstrings:1 reducible:4 instead:2 sim:1 singular:102 philosophy:1 demonstrating:1 fits:1 lines:3 correspond:12 element:13 extremal:3 s1:29 holds:5 produces:1 move:1 symbols:1 including:1 looks:1 mentioned:2 tsi:1 choose:4 greater:2 outlined:2 inductively:1 realize:2 university:3 identified:1 references:2 constraints:4 homogeneous:2 related:1 deficiency:8 our:29 tabulate:1 out:15 matrix:9 geom:1 math:9 approaches:1 bouchard:4 waterloo:1 geometry:2 could:3 keep:3 length:11 hence:75 south:1 matthias:1 multiplication:3 precisely:14 embeddings:5 publication:1 their:10 completed:1 lists:2 suitability:2 constituent:1 plausible:1 ss:2 num:4 curves:4 endomorphism:1 intertwining:1 clearly:3 studying:2 able:1 instance:2 reproducing:1 unless:1 cosets:9 connected:79 class:61 stronger:1 fact:20 supported:3 purely:1 postdoctoral:1 trivial:25 based:2 eigenspace:1 should:4 lemma:43 bases:2 he:5 preliminaries:2 insight:1 means:7 familiar:1 ones:1 words:4 produced:3 differential:1 fixes:10 contain:1 fixed:46 automorphismes:1 view:5 requirement:1 modulo:1 computed:2 fibered:3 2iii:16 triples:1 pattern:1 state:1 difficulties:1 identification:1 invariant:13 boundary:1 bt2:1 reproduces:1 key:1 configuration:37 ker:116 david:1 restrictions:7 commenting:1 freely:32 taking:8 equal:6 admit:2 grail:1 passing:1 otherwise:8 comment:2 aa:4 relevant:3 conclude:1 ca:1 cohomology:3 cf:1 respect:3 torsion:92 addition:2 define:11 arises:1 corresponding:12 tors:1 sufficient:1 subspace:2 ensuring:1 present:2 splits:5 value:1 choices:1 will:33 wild:1 thus:11 surface:42 dual:2 claimed:2 sits:1 generic:28 unity:2 φi:4 finite:47 φm:71 infinity:2 cubic:1 parametrized:1 infinite:2 identity:4 off:1 well:6 mathematische:4 sets:1 position:6 arising:1 usual:4 less:1 obtain:29 paul:2 adv:2 lattice:32 add:1 combine:2 stratum:1 details:1 identical:2 government:1 corresponds:6 five:1 know:20 press:1 immediately:1 intersection:28 loss:2 necessary:1 like:4 alternatively:1 lose:1 works:2 because:1 choosing:3 happens:1 projection:1 lead:3 form2:1 does:6 blowing:3 although:1 tautological:1 quotients:10 deriving:1 about:2 compatible:2 important:4 introduced:1 subset:1 conway:1 h2:5 h3:1 h1:4 stratification:1 square:3 additional:5 pairing:11 faithfully:3 quadratic:2 naturally:2 but:30 volume:1 neutral:33 construction:7 etale:3 hb:18 partially:2 count:1 compute:6 whether:5 smooth:105 harvested:1 below:2 projecting:1 limit:2 problem:4 interchanges:1 intersects:29 universal:3 pic:1 inr:4 denote:18 twist:1 supersymmetric:2 mutual:1 compared:1 detail:2 disjoint:31 other:40 special:4 branch:1 phism:1 theor:2 donagi:7 star:2 ultimately:1 bundle:5 resolution:6 space:23 understand:3 |
0704.3097.txt |@word limited:2 extrapolated:2 schlegel:2 similarity:1 capaccioli:1 luminosities:12 monte:4 consists:1 oldest:1 assembled:5 poorly:1 relationships:35 whose:3 calculate:1 ergs:3 kawata:4 kewley:2 wjc:1 terlevich:9 overcomes:1 affect:1 wegner:2 burke:4 indices:59 straight:1 degeneracy:1 aeronautics:1 heckman:2 miller:2 consistent:42 estimates:2 direct:1 second:21 street:1 qualitatively:2 estimated:2 even:4 established:1 errors:62 excised:1 selected:2 above:7 new:1 increasing:7 evolving:5 centric:1 simultaneously:1 sinks:1 romano:1 here:18 ionization:1 g4300:17 path:1 cardiel:2 logarithmic:1 obtained:6 study:8 changed:1 changes:1 gorgas:5 yamada:2 mail:1 explained:1 morganti:2 highly:1 visible:3 remnant:3 total:6 kobayashi:4 macchetto:3 would:27 negative:12 kinematics:37 therefore:27 type:31 until:3 fractions:2 populations:36 successful:1 starburst:3 splot:2 must:4 abundance:5 mg:1 ma:3 mb:1 mn:1 rood:2 mk:16 groves:1 erg:3 hansen:1 springel:3 example:3 indicated:2 give:3 indicates:12 magnitudes:14 absolute:16 end:1 provide:3 how:1 hot:3 bressan:1 ordinary:1 after:6 davis:1 types:3 eggen:3 attempt:1 effective:10 schneider:2 davies:3 correlation:8 lambda:1 order:3 wind:1 semianalytic:1 neto:1 salom:2 feedback:1 over:9 vary:1 before:1 fit:11 better:1 trager:9 supercluster:1 them:5 hawthorn:1 affected:4 combination:1 band:13 effects:5 they:23 brough:45 routines:1 arrow:1 each:17 side:3 mean:12 logr:15 telescope:2 evolve:4 series:4 used:10 combining:1 extract:1 rv:6 rp:1 gradient:26 content:1 re:13 millennium:1 ra:1 foundation:1 linear:12 given:33 standard:3 formation:50 estimate:1 sodr:2 cosmic:1 corrections:4 onto:1 already:1 features:1 wash:1 another:6 illustrate:2 top:4 centres:6 confirming:1 compromise:2 observations:15 postulate:2 john:1 collapse:26 jesseit:1 tool:1 dissipationless:9 schiavon:1 binned:3 gyr:3 distance:6 showed:1 likely:6 zaritsky:3 project:1 matter:3 iron:2 tonry:2 enables:1 solely:2 godwin:2 extracting:1 kolchin:2 fashion:1 spectrum:3 ray:47 thoroughly:1 isolated:2 fitting:7 edge:2 2006a:6 2006c:6 2006b:8 correlating:1 infalling:1 blue:5 germane:1 object:4 extending:1 phase:1 observation:2 calculated:11 metal:4 inferred:1 points:4 fitted:8 signatures:1 lewis:1 probe:1 infrared:2 radii:8 radio:2 larson:3 explain:3 rich:7 burkert:1 do:16 fossil:1 de:7 da:1 despite:7 isophotal:2 acknowledgments:1 mergers:29 ca4227:11 sensitivity:2 observed:44 radius:49 result:15 best:3 techniques:2 continually:1 catalogue:3 unable:1 drawn:1 terms:2 extend:4 nature:3 component:7 weak:4 however:33 harvard:1 ellipticity:1 suggested:2 received:1 cos:1 irregular:1 cox:4 conclusions:2 space:1 against:1 merging:2 variance:1 blaizot:2 timescale:1 sullivan:2 royal:1 perley:1 starlink:1 broadening:3 tago:1 proceeded:1 equations:1 three:5 been:17 quickly:2 much:2 progenitor:4 expected:5 dynamically:3 dry:1 mcg:2 quantities:2 applied:2 exception:5 originate:1 remaining:2 aim:1 near:1 3nj:1 ic:1 containing:2 suggest:11 make:1 kilborn:1 clearly:4 contaminate:1 incorrectly:1 several:1 grows:1 templates:1 independent:2 nii:9 numerical:4 hand:4 bggs:47 weakly:1 scenario:5 mathews:1 simulated:1 quantitative:3 paradigm:2 left:2 assembling:4 carlberg:3 iaus:1 yet:1 previous:4 adding:1 oliveira:1 davidge:2 had:5 passive:6 transformed:1 east:1 d4000:1 gave:1 bands:1 survival:1 possible:13 colafrancesco:1 possibly:2 background:1 unique:1 occurring:1 appearing:1 cooler:2 specific:2 steps:2 arbitrary:1 right:1 old:17 j2000:2 indirect:1 tripicco:2 dense:1 bottom:2 opposite:1 comments:2 core:1 fe5270:12 minimization:3 plot:2 rosat:2 constructive:1 shifting:1 corr:2 filaments:1 cutri:2 rampazzo:1 properties:12 cn2:15 cn1:12 o:18 plus:1 slightly:2 soc:1 metallicities:21 presence:3 down:1 lies:3 rely:1 support:2 initial:1 width:16 kravtsov:1 fraction:7 wavelengthdependent:1 resulted:3 was:21 synthesis:1 medium:2 gaseous:2 form:10 lowdensity:1 forming:2 differences:6 aperture:34 solar:2 true:1 b5:1 maximum:3 b7:1 katgert:2 panels:11 perea:1 earlytype:4 lowering:1 abstract:1 covers:1 evidence:13 gemini:8 simulations:7 distributions:2 constructed:1 discriminate:1 dotted:2 no:28 b8:1 when:11 interested:1 papers:1 test:1 kuntschner:8 optically:1 picture:2 intend:1 models:31 uniformly:2 dissipation:3 jones:1 younger:8 longer:1 assume:4 together:4 chiosi:4 annibali:11 egerton:1 time:5 particular:1 alternatives:1 remarkably:2 arcsec:2 depend:6 aspc:1 caldwell:1 technique:3 environment:25 2004b:2 2004a:17 centroid:1 kaastra:1 brown:2 lrg:1 choice:1 anonymous:1 clouds:1 presented:3 did:3 anisotropy:2 standards:3 leave:1 der:2 upper:9 slower:2 findings:3 trend:8 prediction:1 uk:2 spectrograph:4 saglia:1 spectral:4 adds:1 appear:3 norris:3 uniform:6 current:1 beasley:3 den:1 xmm:1 dissipates:1 understanding:4 groups:10 along:12 appears:1 change:2 benson:1 passbands:1 institute:3 studied:11 funded:1 queue:1 poisson:1 usually:1 studies:15 plotted:2 buote:3 tasks:3 spatially:2 extra:1 compare:5 undergone:11 hierarchically:1 positive:11 a754:16 predictions:12 scenarios:3 bender:6 australian:1 theoretical:3 today:5 sharing:1 apparent:1 appendix:6 emitting:1 vmax:1 avoiding:1 minimum:1 values:31 following:2 making:1 figure:45 predict:7 chip:3 sample:55 council:1 spanning:1 occur:2 azquez:14 rays:1 means:5 chemical:2 vital:1 guarantee:1 parameter:1 edinburgh:2 may:1 bcgs:94 produce:2 mag:52 date:1 worthey:8 hoessel:3 data:28 grow:1 dynamical:3 correlate:2 ghz:1 cosmology:2 bonatto:1 condensations:1 so:7 definitions:1 typical:1 wavelengths:2 quiescently:1 aforementioned:1 a06:2 stability:1 episodes:3 statistical:3 cold:4 still:5 observational:1 spolaor:1 group:45 thank:2 acknowledge:1 interesting:1 decreases:4 djb:1 maia:1 ours:1 main:2 fxcor:1 non:3 massmetallicity:1 blackford:1 processes:1 introduce:1 half:2 now:1 discuss:3 nor:1 name:7 sandage:1 greisen:1 brodwin:1 photometry:2 metalrich:2 individually:3 square:1 significantly:9 gaussian:5 gaps:3 wavelength:6 gonzalez:4 shown:2 jackson:5 factors:1 furthermore:1 increase:4 contained:1 gaussians:1 suggesting:13 correct:4 shows:5 earlier:2 mechanisms:4 possibility:2 diagnostic:1 dependencies:1 california:1 place:1 massive:28 first:1 origin:1 danziger:1 skrutskie:1 directly:2 open:3 george:1 size:13 little:2 brighenti:1 yin:1 indicate:19 cooling:6 white:7 structures:1 gives:3 correlations:1 continuous:1 astrophysics:3 sextans:1 than:42 intrinsically:1 population:21 wide:8 gottl:3 require:3 modelled:2 future:1 were:35 quataert:1 aragon:1 lick:27 correction:6 maraston:4 rvmp:1 ca4455:11 any:9 conversion:1 note:15 martinelli:2 potential:6 harald:1 take:4 objective:1 strengths:1 normal:18 probed:1 arcsecond:1 printed:1 rationale:1 proxies:4 jørgensen:2 latex:2 acknowledges:1 surprising:5 average:1 later:2 drive:1 typeset:1 gyrs:30 show:14 friction:1 bright:4 inconsistent:3 corner:1 fibre:1 astron:1 ratio:22 histories:5 jannuzi:1 analytic:3 only:20 going:1 enriched:1 sensitivities:2 centrally:1 ssp:6 simplistic:1 ionized:1 illingworth:6 conjunction:1 gem:1 secondary:1 summary:4 rotationally:4 predicted:6 fainter:2 rms:5 burst:1 relative:7 outside:3 between:36 across:3 jy:1 vertical:2 shioya:2 jr:1 supa:1 coma:5 stages:3 σo:1 many:5 region:3 contract:1 biviano:1 mann:5 nearby:1 constant:1 unusual:2 west:1 classic:2 sheth:2 combined:7 reflex:2 peaking:1 direction:4 enable:2 formed:11 observe:33 wake:2 those:28 case:1 fe5406:12 profiles:13 cannot:4 situation:2 cluster:52 bias:1 technology:2 carraro:4 different:21 author:1 same:14 physical:1 events:2 extended:4 jorgensen:1 closest:3 driven:2 costa:1 boehringer:2 eventual:1 random:6 without:6 solve:1 components:3 model:12 l105:1 hγa:11 hγf:11 being:9 generally:6 violent:1 ch:1 speed:1 hint:1 rose:3 seems:1 samples:7 grating:2 swin:1 outermost:1 digital:1 dark:3 grid:2 mon:1 using:22 accepted:1 correcting:1 b11:1 brightness:1 either:8 adami:1 densest:1 naab:4 draw:1 table:72 duration:1 provided:1 ellis:3 confirm:1 finkbeiner:1 critical:1 kms:22 provides:4 francois:2 measuring:1 assembly:9 equivalent:4 makishima:1 dices:1 ratios:11 assemble:1 prepared:1 comparison:4 lucey:1 central:94 origins:2 package:2 discussed:4 denicol:11 haloes:2 cambridge:1 inclusion:1 image:3 osmond:7 rising:1 determine:6 1ld:1 theoretically:1 log:55 assumed:1 there:14 dispersion:43 low:14 stars:18 amongst:1 convolving:1 mnras:44 dissipative:24 faster:1 applying:1 eh9:1 ωm:1 agree:1 detailed:2 taylor:1 ae:20 certain:1 ak:1 describe:1 deep:2 general:1 examine:7 fe5782:23 au:1 file:2 corresponding:1 gradients:103 intra:4 incorrect:1 again:1 beyond:5 completeness:1 field:4 nasa:1 kissler:1 spatial:6 poor:2 nichol:2 includes:2 a1:1 important:2 flattened:2 peak:2 included:2 having:6 reproduce:1 mass:39 accreted:1 resolution:6 original:4 abundances:24 pointing:1 lack:6 quadrature:4 follow:3 disk:1 zabludoff:5 causes:2 preserves:1 tx:2 removal:1 program:2 2masx:5 c5:1 dominated:2 2mass:9 mpc:2 very:13 induce:3 sloan:1 dispersions:18 fall:2 difference:8 illustrated:16 washing:1 broderick:1 ageing:1 large:7 adjust:1 small:18 20th:2 pasa:1 refitted:1 tex:1 rate:1 timescales:1 enhancement:29 further:6 what:1 section:14 fractional:1 method:7 contrast:13 hδf:11 full:1 oegerle:3 hδa:24 loose:1 iraf:4 ranges:1 relaxation:1 directions:1 grape:1 strong:4 observing:6 pellegrini:1 allows:1 prior:1 amount:2 swinburne:1 brightest:8 vic:1 followed:2 semester:1 extinction:1 silva:1 takes:1 uniformity:3 contains:3 summarised:3 comparing:4 taken:6 minor:2 more:38 linden:2 flat:2 corrected:11 emission:36 instrumental:2 tested:1 varying:1 known:1 dex:45 dey:1 middle:1 science:1 equation:1 remain:1 evolved:3 teague:1 dec:1 history:6 f2:1 cosmological:1 collision:1 takahara:2 sense:2 einasto:3 axis:16 goudfrooij:3 information:3 respective:1 colless:1 rather:1 maps:1 oblate:3 gebhardt:1 galactic:3 mendes:1 jarrett:5 derived:13 orbits:1 reflect:1 fe:40 horizontal:1 caon:9 short:1 interpolated:2 spectra:18 negligible:3 patig:1 remnants:2 takahashi:1 restframe:1 ejecta:1 indistinguishable:1 paper:6 through:8 boylan:2 signs:3 existence:1 kinetic:1 suffer:1 its:7 environmentally:1 member:1 style:1 termed:1 late:1 detected:3 fe4531:21 systems:7 might:3 fe5335:11 gmos:9 good:2 salamanca:1 seeking:1 matteucci:9 easily:1 products:1 always:1 level:2 chandra:1 radial:23 found:40 pipino:4 referred:1 bruzual:2 catalogues:1 energy:1 expect:10 measurement:4 birkenhead:1 reanalysed:2 event:6 funding:1 robert:1 since:18 research:3 flattening:2 hill:1 denoted:2 induced:3 issue:2 offsets:3 dressler:2 proxy:1 eisenhardt:1 ask:1 combes:2 anchez:14 caption:5 conducted:1 undergo:3 fallen:1 exhibited:1 major:22 probability:2 struble:2 number:2 efstathiou:4 least:7 stage:2 temperature:2 jet:2 introduction:1 unexposed:3 rates:1 molecular:1 too:1 shifted:3 relationship:34 behind:2 lynden:1 optical:2 bower:1 authors:2 brightnesses:2 believe:1 convinced:1 observatory:1 charlot:4 substantiated:1 ages:30 randomly:1 tables:3 null:4 lie:7 zero:2 depending:4 self:1 couch:1 onset:1 extracted:2 kband:1 build:1 finding:5 towards:2 most:18 significant:36 measured:34 clear:1 broadened:2 cover:3 km:1 ks:1 part:1 chester:2 exp:1 velocity:73 physics:1 lying:3 mcdermid:4 thomas:25 particularly:2 glazebrook:2 scattered:5 relation:3 find:27 indicator:1 parameters:10 duncan:1 merger:32 merges:1 ies:1 less:11 distributed:1 condon:2 factor:6 bernstein:2 columns:3 hit:1 dependent:3 trees:1 during:1 resolve:2 continuum:2 arxiv:1 investigate:1 common:1 activity:1 lrgs:4 bars:7 set:1 undergoes:1 see:8 individual:4 preparation:3 quintana:1 currently:1 tamura:2 various:2 danese:1 available:1 recently:6 statistically:6 distinguish:1 both:11 last:3 sensitive:1 whole:2 finds:1 reside:1 bell:5 reasons:1 smith:7 dimensional:4 simply:2 throughout:4 described:6 enhancements:3 due:15 reduction:4 pa:14 anisotropic:1 ph:12 referee:1 wavebands:1 gas:35 gap:1 determination:2 systematic:8 pierce:2 uncertain:1 look:1 solid:9 reliable:2 while:10 error:20 von:2 apjs:5 apjl:1 itself:5 barnes:2 shorter:1 emphasize:1 widely:1 survey:5 relatively:3 higher:11 calculation:2 literature:11 suggestion:1 paths:1 flows:1 uses:1 fornax:1 robust:3 recent:10 early:35 lower:14 task:2 older:11 analysis:12 calibrated:1 distances:2 ellipticals:5 useful:1 alignment:2 gems:2 lit:1 readers:1 highdensity:2 source:4 location:1 input:1 transformation:1 australia:1 rotators:1 forman:1 helpful:1 semi:4 systematically:2 signal:3 separately:1 flux:10 clipping:2 faber:12 some:7 back:1 pastoriza:3 b4:1 understood:2 strongest:1 experienced:2 b1:1 b2:1 b3:1 infall:1 b9:1 scale:5 measurements:10 per:14 efficiencies:1 b600:1 inglis:2 ponman:8 bl:14 processing:1 aj:10 agreement:1 step:4 plots:1 bgg:7 brinkmann:1 ids:1 simulation:3 range:32 moores:1 seeing:3 into:6 within:24 appropriate:1 proportional:2 contreras:1 uncertainties:5 span:1 long:7 sections:2 filamentary:1 collapsed:1 link:1 line:35 croton:2 characteristic:1 up:6 us:10 un:1 diagrams:1 mature:1 schechter:1 fried:2 similar:17 steepen:1 associated:6 defined:3 flow:4 redshifts:12 globally:1 single:6 steeper:7 tentative:1 amounts:1 dashed:3 nas8:1 b16:1 b17:1 b14:1 b15:1 b12:1 b13:1 b10:1 gra:1 shallower:11 b18:1 korn:3 elements:7 calculating:2 lucia:5 suppression:1 fisher:8 structure:8 ago:5 agn:6 independently:1 age:75 depth:1 implied:1 correlates:2 requires:1 enrichment:1 code:1 illustrates:3 results:33 ch41:1 edu:1 issues:1 compact:1 young:3 does:2 blaze:1 excluded:2 starbursts:1 counterrotating:2 proctor:33 garden:1 sarazin:2 bernardi:7 fewer:1 interpolating:1 noted:1 chiappini:4 concluded:2 smaller:3 carter:6 progenitors:1 hyde:1 spectroscopy:1 carlo:4 calibrators:1 index:31 henceforth:4 consistently:1 abell:12 turnaround:1 collins:5 body:3 chose:1 degree:2 respectively:1 youngest:1 intercept:3 lex:1 extreme:1 convert:1 burstein:3 involved:1 larger:11 suggests:8 resulting:5 shaded:1 makes:2 examining:9 apr:1 photometric:1 apj:27 lenticular:1 apply:4 resolutions:2 lima:1 use:16 usa:1 remains:1 hudson:1 nelan:6 few:7 examination:1 themselves:6 panel:10 fe5015:13 occurred:4 sharples:2 sph:1 account:1 recession:10 scatter:10 wharf:1 process:4 high:25 slit:26 assumptions:1 regions:18 varies:1 elliptical:14 instead:2 profile:7 bekki:2 hashed:1 b6:1 fits:13 efficiently:1 purely:2 light:7 counter:4 lines:12 element:25 subsequently:1 evolutionary:11 contaminates:1 move:1 produced:5 overdensity:1 ellipticities:1 including:4 proust:1 fwhm:1 galaxy:94 contaminated:4 bridges:2 outer:5 exclusion:1 chosen:1 masses:4 redshift:11 degrees:2 ls:6 hartog:1 covered:1 pixel:3 lx:25 daf:1 greater:2 outlined:1 material:1 subtraction:1 satellites:1 rotation:5 february:2 cotton:1 university:4 sufficiently:1 magnitude:7 mode:3 references:1 homogeneous:2 doing:1 related:2 frequency:1 measure:10 our:77 special:1 out:7 stud:1 buson:1 ref:1 red:2 fouqu:1 interactions:2 galaxies:194 trends:5 franx:5 hubble:1 could:5 times:9 isotropic:1 removing:1 hence:2 south:3 publication:1 system:18 their:115 accretion:4 bhavsar:2 reversed:1 shallow:7 environmental:4 july:1 reverses:1 ottaviani:3 steep:6 exhibit:1 fluctuation:1 supercomputing:1 unlikely:1 need:3 linked:1 angle:8 studying:4 mix:2 mis:2 subject:1 unless:1 centre:13 who:6 giavalisco:1 bolometric:1 sb:1 intrinsic:3 subtracted:1 stronger:1 normally:1 fact:1 atmosphere:1 text:4 supported:4 rotating:3 mg2:14 mg1:15 superimposed:1 convolved:1 subtracting:1 based:1 ngc:92 sparks:1 should:3 virgo:2 brighter:4 micron:2 employed:1 local:2 equilibrium:1 mgb:13 1995a:6 1995b:2 quantified:1 klypin:1 sansom:5 joint:1 words:1 timing:1 areas:1 symbols:1 evolution:20 evident:1 whilst:4 luminosity:39 she:1 contain:4 gibson:4 moduli:1 computed:1 hβ:18 national:2 hα:8 enhanced:2 luminous:8 dlb:14 nuclear:4 xray:3 identification:1 closed:1 neither:3 carollo:2 efficiency:5 hypothesis:2 key:1 figaro:1 kev:4 distribution:5 declining:1 limits:2 equal:1 figures:8 adjusted:1 relevant:4 conclude:4 environments:18 cd:2 respect:5 andernach:1 kinematic:4 addition:1 cent:2 outflow:1 slowly:1 liverpool:1 controlled:1 sufficient:1 oiii:1 zeilinger:1 angles:6 clusters:32 c3:1 c2:1 c1:1 c6:1 present:7 c4:1 multi:6 dissipational:2 value:26 will:5 happened:1 manually:1 thus:1 surface:3 vo:1 examined:6 administration:1 cross:1 fe5709:11 mulchaey:2 mehlert:9 units:1 fe4383:11 difficult:2 effect:6 v0:1 v2:1 hau:3 kjærgaard:1 off:1 center:2 variety:1 well:5 residuals:1 redshifted:1 position:16 kauffmann:7 velocities:4 heavily:2 accurate:1 obtain:2 underlying:1 distant:1 predicts:2 chemodynamical:2 density:19 absorption:3 passively:4 sky:5 simple:1 add:4 forbes:17 slits:1 halo:1 clipped:5 wet:1 unprecedented:1 resolved:2 increased:3 nearinfrared:1 smithsonian:1 prominent:1 necessary:2 like:5 lost:1 sizes:3 sized:2 imprints:1 r500:1 accessible:1 indications:1 because:1 grids:1 library:1 wider:3 growth:2 warmer:1 spheroid:2 arimoto:4 lead:4 avoid:2 capelato:1 instantaneous:1 kpc:3 assuming:4 eso:1 noise:4 analysed:1 ober:3 stellar:66 host:17 although:3 offset:3 noisy:1 carried:2 extension:1 universe:1 certainty:1 dependence:7 a2:1 massachusetts:1 previously:2 h0:1 weighted:3 cuevas:1 van:2 albada:2 yoshii:6 inner:2 mazure:1 function:3 vazdekis:1 north:1 brand:1 basic:1 but:12 astro:13 repeated:1 hierarchical:10 contradictory:3 highest:1 made:3 places:1 whether:10 variations:1 huchra:2 record:1 below:10 limit:4 iterated:1 steepest:1 demonstrate:1 problem:3 display:1 longlived:1 balmer:2 periods:1 brodie:1 functions:1 compared:4 calibration:5 detail:3 other:22 conclusion:1 star:21 metallicity:69 astronomy:1 exposure:2 apertures:31 bcg:12 4l:1 |
0704.3098.txt |@word rˆ:3 skeleton:2 whose:14 paris:2 segments:3 processus:1 under:28 xtn:5 xtk:2 xti:2 bτ:6 bχ:3 every:1 cmj:14 courrier:1 unrelated:1 math:4 markov:15 duquesne:3 direct:1 elegant:1 second:22 sznitman:1 even:4 filtration:2 iterating:1 above:4 ney:1 new:7 increasing:7 coefficient:4 simultaneously:1 xfn:1 neveu:2 residual:7 here:13 atoms:16 refinement:1 represented:3 path:3 obtained:5 daughter:2 rigorously:2 study:4 supercritical:13 diameter:1 projection:7 classification:1 rτ:4 counts:1 total:6 univ:1 linearly:1 would:6 negative:6 call:9 therefore:4 until:2 abusing:1 brings:1 relat:4 berlin:2 cantelli:1 siblings:3 hold:3 must:3 springer:4 word:2 mn:1 rλ:5 root:15 example:4 give:5 preserving:7 indicates:1 want:6 times:16 end:3 verw:1 provide:1 feature:1 recovers:1 how:2 ancestor:20 unvisited:1 replacing:1 ladder:1 earlier:1 jumping:6 law:27 types:1 third:4 summing:2 greek:1 decreasing:3 order:29 restriction:2 interpretation:5 over:4 vary:1 xi:13 satisfies:4 before:5 ima:1 fix:8 writing:5 distinguishing:1 fig:5 them:3 lambert:6 they:3 interrupt:1 multidimensional:1 queues:2 each:27 side:2 mean:1 schemes:2 t2:1 precedes:1 extract:1 restricted:1 re:2 reader:3 ri:7 linear:6 midpoint:1 little:3 free:1 standard:4 r0:1 starts:3 arrived:1 probab:8 onto:5 coding:2 primary:1 rank:4 restrict:1 another:5 service:1 similarly:3 heights:1 observations:1 finitely:1 distance:7 tree:84 zero:13 genealogies:3 solely:1 seminal:1 modern:1 mind:1 seen:11 convenient:1 latter:4 eles:1 forces:1 indexed:1 completed:1 though:1 object:4 letter:2 iterate:1 acknowledgements:1 treats:2 medical:1 partition:2 vertices:3 bracket:1 section:10 saying:1 labels:1 ending:3 analogue:1 explain:1 than:5 x4:2 continuity:4 do:3 uncountable:1 de:4 watson:4 dz:13 dx:19 altogether:1 dt:15 dr:29 ds:3 runs:1 chronological:48 flour:1 fields:4 twice:1 implication:1 depends:2 projections:1 discussions:1 subject:1 said:5 exponent:22 µt:8 away:3 compensation:1 µk:9 xvn:1 conceptual:1 encounters:1 terms:5 extend:2 nature:1 confusion:1 equals:3 modeling:1 topology:1 behaviour:1 against:1 adapted:1 height:17 union:6 three:5 been:2 allelic:2 graphical:1 yaglom:2 θl:11 lifo:1 quantities:1 child:5 θr:19 applied:1 athreya:1 heidelberg:1 fubini:4 suppose:2 applies:1 property:20 leaves:9 procedure:1 iv:4 ii:21 characterize:1 ik:7 containing:1 malthusian:4 make:1 split:1 unfortunate:1 several:2 independent:20 laboratoire:1 hand:17 suffices:1 failing:1 mother:14 claims:1 jean:1 possesses:1 left:4 just:2 connell:1 thanks:30 facts:1 yet:1 previous:7 enters:1 hal:1 infinitely:5 regarded:1 had:3 belongs:1 easy:1 wahrscheinlichkeitstheorie:1 survival:2 possibly:4 descending:7 birth:40 unique:8 apart:1 arrivals:1 steps:1 arbitrary:1 right:11 deal:1 truncated:2 czech:1 dead:1 born:2 dense:5 bottom:3 subclass:1 everything:1 subordination:1 popovic:2 illustration:1 disappeared:1 binomial:1 post:1 properties:9 chapter:1 o:2 conditioned:6 statements:4 markovian:12 presence:1 down:2 support:2 initial:4 transform:5 class:1 width:6 conservation:1 fraction:1 bienaym:3 was:4 head:1 form:10 converse:4 denoting:1 failure:1 cedex:1 genealogy:14 understood:1 extremity:1 supv:1 examples:2 adopt:1 proved:2 sight:1 abstract:2 proves:8 dλ:1 distributions:1 check:5 constructed:1 nn:2 no:14 whereas:11 when:40 vanishes:10 nx:3 interested:1 ns:2 superposition:1 preceding:1 spectrally:11 ξi:2 amaury:3 variable:7 assume:23 umr:1 dσ:10 together:1 time:56 n0:4 chain:1 skip:2 brownian:3 focus:1 computation:1 extremities:1 certainly:1 inverse:6 depend:7 graph:1 passage:1 finally:4 ıb:1 subtrees:1 choice:1 anonymous:1 emphasized:1 partitions:1 level:44 discrete:29 recall:33 loads:1 round:1 work:8 measurable:3 stands:2 xφ:2 foregoing:3 uniform:1 sequential:1 goes:3 appeal:3 xϕ:6 satisfy:1 along:4 change:1 endow:1 studied:1 exiting:11 queue:1 poisson:27 usually:3 useful:1 merely:1 prefer:2 prove:14 sake:1 positive:23 eχ:13 visit:14 france:1 live:1 egory:1 associated:4 entrance:1 duality:1 everywhere:4 cases:3 cardinality:1 valued:3 sheds:1 modified:2 bertoin:4 values:3 probabilit:2 following:21 attain:1 claim:21 figure:5 sn0:2 allowed:3 conversely:2 verlag:4 s2:2 s1:6 exceptional:2 write:16 pure:2 ensure:1 parameter:12 map:1 product:1 may:3 subordinators:9 applications:2 explored:1 date:4 representations:1 grow:1 recursive:5 natural:2 st:5 sk:2 si:8 so:80 sn:18 definitions:2 typical:1 galton:4 yule:6 words:9 indeed:10 pointed:2 displayed:2 years:1 course:1 still:3 derive:2 τj:3 τk:10 acknowledge:1 decreases:1 mail:1 into:7 renaming:1 correspondence:2 non:4 thereby:1 evolution:1 introduce:2 records:3 half:1 now:47 killed:23 term:3 equality:8 name:1 arrows:1 possibilities:1 transposition:1 ei:3 ed:1 revised:1 gaussian:1 ex:6 es:2 predefined:1 living:3 shown:11 3rd:1 space:6 furthermore:3 contained:1 formula:2 shows:11 after:1 theory:5 remainder:1 e0:14 card:16 motion:1 turn:1 place:1 think:1 first:60 xj:2 xk:2 xh:1 constantly:1 xn:17 u1:11 nested:2 directly:1 xr:13 xs:26 eventhough:1 xt:60 size:13 1s:2 necessarily:1 excursions:8 indicate:2 convention:3 structures:1 gives:6 way:5 continuous:23 revuz:1 x2:14 x3:3 x0:4 x1:15 sˆ:6 specify:2 population:12 require:1 intensity:21 future:2 were:1 inferring:1 generality:2 ann:5 argument:6 say:15 recover:2 any:81 downwards:1 converges:19 note:14 coincide:2 cnrs:1 multiple:1 opposite:2 jagers:9 surv:1 successive:4 pair:2 surprising:1 considered:4 later:2 quantity:1 show:16 notations:1 decompositions:1 aτ:12 state:10 only:22 going:1 equipped:2 ranking:2 get:35 cannot:1 secondary:1 closure:7 reading:2 yield:1 nondecreasing:1 namely:3 us:8 y0:2 satisfying:8 inequalities:1 label:5 boundaries:1 ouvertes:1 enough:1 between:16 αi:6 exploration:15 geometric:7 αj:1 αn:2 notice:15 vertical:1 relabelled:1 jv:1 killing:1 article:1 js:1 dates:3 many:5 according:5 called:34 embedding:1 expression:2 comes:2 among:1 characterization:1 overview:1 cancel:1 moreover:2 technicalities:1 considering:1 locally:17 mart:1 combined:1 ınez:1 formed:1 σi:5 observe:15 stems:2 former:4 those:14 case:45 planar:1 coupled:1 metric:4 concatenation:1 cluster:5 supremum:4 binary:8 different:3 same:23 poincar:1 arguments:1 physical:1 events:4 finish:1 trivially:1 timepoint:1 running:1 harris:1 invariance:1 totally:1 relies:1 onedimensional:2 roughly:1 without:2 components:1 dimension:1 being:8 resp:9 speed:3 death:12 lebesgue:24 except:5 setting:3 real:22 read:1 using:3 ams:1 mod:1 server:3 either:15 always:5 served:1 reduced:2 conditional:35 deduce:9 specified:2 duration:2 nonzero:4 provided:2 prolific:1 recorded:1 critical:9 provides:1 grafting:4 equivalent:2 refers:1 genealogical:10 theorems:3 generated:2 stand:1 cambridge:2 image:1 references:2 ηr:6 elementary:5 ηx:10 log:1 her:5 strictly:2 there:23 start:3 series:1 conciseness:1 complete:1 kersting:1 applying:6 embedded:1 embed:1 interval:11 ag:7 ai:7 moved:1 minneapolis:1 general:8 reliability:1 lifetime:12 again:5 field:6 spatial:1 yor:1 briefly:1 durations:1 vertex:2 important:4 bounded:3 pathwise:2 partitioned:1 mass:5 starting:14 consider:8 splitting:48 scalar:1 denotes:9 reasoning:3 preserves:8 referring:1 ty:2 equivalence:1 tn:17 tj:4 tk:15 th:14 ti:17 stochastic:5 ta:3 belonging:4 straightforward:7 very:2 corollary:8 difference:1 condition:3 list:1 t3:1 t0:13 t1:1 large:10 abbreviated:1 dimensional:1 past:5 rate:18 infimum:2 further:3 canonical:1 what:2 itˆ:1 sum:6 sup:8 component:3 ranges:1 strong:5 search:3 increments:2 allows:7 pick:1 action:1 family:2 marginal:4 vii:1 viz:1 extinction:12 readily:1 proceed:3 distinct:2 archives:1 gebiete:1 taken:2 entails:7 subcritical:8 more:7 thus:9 stick:4 particular:32 known:7 evolves:1 science:1 equation:4 martingales:1 paragraph:3 excursion:6 pushes:1 stated:3 aldous:2 states:1 contradicts:2 numbers:3 sense:5 dress:1 offspring:12 νk:2 axis:2 goal:1 awkward:1 rather:1 maps:1 explains:1 fr:6 confounding:1 ft:10 ζi:6 ζj:6 ζk:4 derived:1 mapping:5 ζn:2 plane:3 horizontal:2 fn:9 short:2 negligible:1 fundamental:1 jaffard:1 passages:1 developed:1 paper:1 through:3 y1:1 existence:14 y2:1 its:41 roots:1 actually:15 systems:1 might:1 yn:47 propose:1 reflected:3 framework:1 compound:1 ys:4 yr:4 yt:15 easily:4 hereafter:3 characterizes:1 2d:1 iff:7 inequality:4 stopped:3 found:1 repeating:1 characterized:5 generation:23 tˆ:28 http:2 event:4 csbp:2 given:19 item:2 since:65 induces:1 research:1 dominated:3 denoted:11 occurs:2 ast:1 reason:4 conditioning:1 put:2 beginning:2 definition:16 pairs:3 biomathematics:1 nonnegative:7 edges:2 consequence:27 rooted:1 probability:22 number:29 instances:1 done:3 introduction:2 least:3 assumption:7 statement:14 scheme:3 recovered:1 shifted:2 calculations:1 relationship:2 recursively:5 immediate:1 part:5 translation:2 convinced:1 kind:1 double:1 intensities:1 newborns:1 interactive:1 summable:1 ages:6 tψ:1 gall:8 tχ:7 null:1 paths:7 lim:13 eft:1 extracted:1 analogy:1 measures:6 most:8 branching:60 clear:4 sometimes:4 countably:1 countable:2 ext:19 ku:4 thomas:1 converge:2 relation:1 find:3 occupation:1 grafted:1 parameters:1 distributed:7 assertion:5 subsection:7 integrable:2 begins:1 his:1 hit:2 notation:8 dependent:1 trees:63 famous:1 during:3 continuum:2 arxiv:3 common:8 set:57 lifetimes:6 see:22 individual:29 close:1 forthcoming:2 contour:22 preparation:2 fission:1 various:2 consecutive:3 conditions:1 available:2 latin:1 complement:1 denomination:1 vanishing:1 ranked:4 distinguish:1 both:12 last:24 connection:1 pdf:2 whole:1 load:2 point:63 simple:3 newborn:1 instants:1 bλ:1 pr:2 ensures:7 pz:1 fifteen:1 px:9 hitting:15 marginals:1 empty:2 generating:1 referee:2 p2:55 p0:5 p1:41 exponential:9 bσ:2 solid:1 ǫi:3 evaluated:1 while:2 vol:2 encountered:2 reads:3 itself:5 lengths:1 belong:4 composition:3 daughters:1 calculation:3 used:3 dimh:1 flows:1 levels:16 uses:1 purpose:1 recent:3 lower:2 older:1 spent:3 analysis:2 edge:1 comprise:1 λr:8 multifractal:1 λt:1 λx:2 bµ:1 limτ:1 intervals:5 cut:1 theorem:65 contrary:1 guarantees:2 remaining:1 customers:3 ight:1 showing:1 integer:14 bit:2 spine:1 follows:15 interestingly:1 separately:1 individuals:39 yields:9 feller:5 pointwise:1 terminology:4 often:1 some:19 pσ:2 pχ:30 pτ:6 scale:4 per:1 conditionally:8 prob:3 jumps:13 step:5 lasts:1 bx:3 bz:3 miermont:1 integers:5 pζ:1 pξ:2 recalling:5 range:2 bgw:2 abusive:1 actuarial:1 question:1 specifically:3 u2:5 borel:11 forward:1 sections:2 elsewhere:1 immigration:1 v0:1 atom:3 line:5 observation:2 intuitive:1 uw:1 up:11 lifespan:28 un:11 ui:16 uk:46 uj:13 continuously:1 similar:2 laplace:25 constant:8 defined:27 single:1 defines:1 ancestors:6 amounts:1 ecole:1 application:3 points:38 coded:2 subordinator:6 nice:1 elements:3 exp:26 favourite:1 visits:4 meaning:1 allowing:1 structure:5 implies:8 age:4 required:2 equivalently:1 depth:2 having:1 once:4 partial:1 gr:1 issued:3 results:2 proposition:23 stochastically:1 go:1 gn:9 compact:3 deterministic:1 excluded:1 random:20 g0:2 continues:2 putting:1 exits:2 notes:1 try:2 evy:53 zn:52 zi:2 eλx:1 jump:10 imply:1 dynamics:2 bde:1 index:2 evokes:1 lea:1 leb:16 focuses:1 degree:8 respectively:3 youngest:1 desired:2 z0:3 z1:4 deduced:1 remark:8 contradiction:5 leaving:1 makes:1 wih:1 limn:7 apply:5 tools:1 standing:1 use:7 feb:1 asymptotic:4 remains:3 next:21 few:1 bochner:2 themselves:2 upmc:2 started:15 arranging:1 iii:15 customer:2 caratheodory:1 fulfill:1 proof:41 process:146 assumptions:1 holds:8 eatoires:1 hazard:1 inst:1 light:2 interrupted:4 element:1 allow:1 jussieu:2 dy:2 interpreted:1 le:12 chosen:2 previously:4 choose:1 derivative:1 defining:1 greater:1 docs:1 dirac:3 university:1 concave:2 sufficiently:9 extc:3 mode:9 l0:1 homogeneous:9 erisque:1 related:1 mrca:2 measure:77 relates:1 transitions:1 special:1 out:8 lecture:1 induction:6 announced:1 ancestry:1 york:3 snv:1 phrases:1 could:1 keep:1 labelling:4 length:30 hence:4 evans:1 arbres:1 bijection:8 precisely:4 ordering:1 priority:1 their:10 reversed:1 exactly:12 branches:1 july:1 herself:1 completes:1 appealing:1 reproduction:4 visited:6 result:8 unchanged:2 need:4 apparently:1 min:4 mechanism:5 progressively:1 unless:4 who:6 gλ:4 connected:1 ht:14 representation:1 segment:9 why:1 consequences:1 url:1 capita:1 fact:4 ulam:1 terminate:1 bring:1 knowledge:4 should:1 jan:4 lemma:8 he:1 local:10 preliminaries:10 hope:1 means:2 joint:1 aforementioned:1 processes:54 qt:1 coalescence:11 she:3 contain:1 fixed:3 generations:2 requirement:1 2p2:1 modulo:2 computed:2 exists:2 transpositions:2 finiteness:1 favor:1 written:5 invariant:2 boundary:4 ends:4 key:2 thank:1 hits:5 limits:1 taking:4 equal:13 ln:7 passing:1 otherwise:7 conclude:4 cb:1 cf:1 walk:2 sequences:2 addition:7 copies:4 define:20 corresponding:3 truncations:2 sufficient:3 c3:2 c2:2 c1:2 present:5 subsets:1 harder:1 value:9 will:32 vi:2 vk:11 vl:1 vn:7 vs:2 vw:1 generic:1 coalescent:5 largest:4 finite:82 infer:1 difficult:1 infinity:2 upon:17 khinchin:1 v1:4 v2:3 infinite:31 well:11 subtree:6 thought:1 sets:4 usual:2 obtain:1 underlying:1 adv:3 preprint:3 60g51:1 density:2 extends:1 bolthausen:1 adl:7 checking:1 elapsed:3 increases:2 know:12 press:1 intersection:2 loss:2 like:3 success:5 sizes:3 alternatively:1 page:1 therein:1 shed:1 because:30 classical:2 sequence:24 alive:14 convex:2 proofs:2 happens:1 leaf:6 nonempty:1 avoid:2 cτ:28 does:9 assuming:1 symbol:1 biology:2 slight:1 drift:6 although:1 about:5 actual:1 carries:1 discard:2 introduced:1 converging:4 subset:9 own:1 h2:2 h1:2 functional:3 mere:3 tauberian:3 60j80:1 appl:4 naturally:1 function:13 hs:4 triangular:1 but:40 neutral:1 construction:6 goals:1 convergence:13 highest:2 truncation:5 count:3 made:2 compute:1 whether:3 record:4 below:4 limit:8 distribution:22 display:5 geiger:1 denote:22 sibling:2 our:7 inf:27 functions:2 forests:1 disjoint:2 other:22 details:1 nonincreasing:1 conclusion:6 ultimately:1 variation:13 hausdorff:1 inspiration:1 rule:4 |
0704.3099.txt |@word inverse:1 represent:4 gs:1 consider:6 chain:7 illustrates:1 skip:3 equalities:3 separates:1 commun:4 primed:1 extends:1 four:5 roy:5 scalar:1 abelian:1 generalize:3 spiridonov:26 computation:2 consists:2 partial:1 zhedanov:5 gj:4 ptj:1 devoted:1 lefthand:1 c0:6 depend:1 analytic:1 combinatorial:2 tw:1 γq:1 similarity:1 tr:5 ts:26 tq:3 recurrence:5 tl:1 tm:14 tj:47 tk:25 elliptic:121 under:7 semenov:1 details:1 analogous:6 akhiezer:1 degeneration:2 g7:1 p2:4 conjecture:2 lack:1 stud:1 g1:1 orthogonal:7 very:7 implicitly:1 conditions:3 results:4 balancing:12 rm:1 difference:7 exact:1 condition:22 pt0:5 leads:6 school:1 riemann:2 y1:4 level:4 t6:26 t7:21 t4:7 t5:19 t2:11 solution:12 t0:26 t1:37 large:1 discrete:5 vector:2 interpolating:1 kharchev:1 essays:1 inversions:3 gauge:1 anal:2 y2:3 terminating:8 upper:1 zn:4 unexpected:1 grateful:1 periodicity:1 zk:6 lecture:2 teor:2 direct:2 sign:3 matrices:1 second:5 biorthogonal:9 arnold:1 pass:1 rigorous:1 further:2 odd:6 zq:1 substitute:3 theory:12 even:5 established:1 nonlinear:1 plays:1 appear:4 iterating:1 t2n:4 d2:2 sum:7 interpolation:1 analogously:2 expressed:1 suw:2 consistently:1 compos:1 poles:6 goes:1 kyoto:1 new:11 wn:1 method:3 sux:2 eω1:1 compact:2 κn:6 simultaneously:1 notions:2 degree:1 fiz:2 mem:1 respectively:3 equals:1 here:5 bi:1 modular:11 objects:2 xξ:1 andrews:6 represented:1 ratio:4 along:1 standard:2 equations:13 appears:5 change:5 z3:1 obtained:6 tian:1 generalizing:4 amer:2 divisor:1 institute:1 my:1 vectors:2 allows:1 ecu:1 through:1 leaving:1 preceding:1 periodic:1 products:4 procedure:1 suggestion:1 published:1 hospitality:1 t25:1 ctk:1 uniquely:1 emerge:2 via:3 although:1 family:1 dzj:1 apr:1 z1:4 integrations:5 replace:1 expect:1 coinciding:1 reg:1 summation:5 support:2 clockwise:1 univ:3 research:2 unit:4 masuda:1 tn:10 use:2 additive:1 takes:4 working:1 prove:1 remains:2 ruijsenaars:3 played:3 permitted:1 jimbo:2 going:1 therefore:6 taken:1 doubling:2 type:9 vj:2 reflects:1 more:9 fractions:1 lowering:1 permutations:2 excluded:1 bressoud:1 brings:3 operators:4 kokyuroku:1 λd2:2 s3:1 correspondingly:1 investigation:1 graev:1 particular:9 known:5 potential:1 nonterminating:1 ma:1 origins:1 subcases:1 aomoto:1 deformed:2 equation:25 work:3 ρm:2 modified:7 london:1 reviews:1 remain:2 infinitesimal:1 values:3 rewritten:1 following:13 tnl:1 trans:1 root:12 zj:14 proof:6 asymptotic:1 f1:5 f2:2 omit:2 indicated:3 give:1 konno:1 cited:1 preserving:1 ps:1 turaev:3 νf:1 numbers:1 hyperplane:1 sense:4 νn:3 evidently:1 axis:1 s8:4 end:1 painlev:3 rather:2 s2:4 s1:2 exceptional:1 orthogonality:1 write:1 necessary:6 nontrivial:2 pure:1 instead:1 weaken:1 parameter:7 ρ2m:2 product:5 conjugated:2 petersburg:2 description:1 algebra:2 replacing:1 after:9 singularities:1 ζm:3 residues:6 applications:3 plane:2 multiplication:1 representations:2 evaluations:1 law:1 compatibility:1 constants:2 sp:1 short:3 natural:4 third:4 grant:1 explicit:3 sv:2 su:1 st:8 sk:1 sj:9 encyclopedia:3 block:1 allow:1 sl:3 representation:5 integrand:3 order:12 δmn:1 restriction:1 approx:2 serving:1 help:9 correlation:1 september:1 essence:3 over:8 spectral:2 mainly:2 satisfied:1 interpreted:1 symbols:1 course:1 during:1 xi:3 including:2 enumeration:1 statistical:1 omitting:1 differs:1 existence:1 satisfies:4 still:1 okounkov:1 its:9 before:1 sciences:1 derive:2 group:8 fit:1 chosen:2 interesting:5 fix:1 affine:2 coordinates:2 gen:2 e2πiu:12 systems:14 remarked:1 jacobi:3 mail:1 kuniba:1 main:2 defining:1 setting:2 correspondence:1 non:3 combination:1 cmn:2 bernoulli:1 material:2 investigated:2 isomorphic:1 yz:1 they:8 half:1 front:1 determinants:1 bogoliubov:1 now:6 yu:2 yw:2 structural:1 easily:4 2v:1 finite:5 equality:8 t8:20 e2πi:8 frenkel:3 university:3 presented:1 sos:1 orthonormal:1 sufficiently:1 morris:2 academic:1 each:4 crossing:1 found:5 2n:10 quarter:1 ts2:2 side:7 constraints:5 baxter:4 qz:4 ei:7 thesis:1 ej:2 series:46 contiguous:6 hypergeometric:75 idea:1 related:3 t3:5 varchenko:1 balanced:1 toda:2 used:6 obtains:1 entering:1 quantum:4 our:1 margins:1 transitions:1 special:16 out:1 ru:1 shown:2 precisely:2 jackson:4 fundamentally:2 admissible:1 restricted:1 multiparticle:1 since:5 crucial:2 denotes:4 re:6 contained:1 equate:1 rational:14 adv:6 denoted:1 formula:20 rn:17 suffices:1 correct:3 math:40 achievements:2 foundation:1 8i:3 linear:2 derived:2 several:1 differ:1 free:2 quite:1 admits:1 completely:2 base:2 e9:1 term:3 constr:1 put:1 e7:2 dubna:1 beginning:1 generate:1 additional:2 definition:3 pairs:4 r0:1 derivation:4 geometry:1 shintani:1 impose:1 r8:2 multiparameter:1 length:1 place:1 δij:1 βn:3 repeats:1 generalizations:3 recursion:1 first:12 xj:1 indebted:1 already:3 symmetry:4 kernel:3 notes:1 omitted:1 variables:9 pa:3 powerful:1 number:7 xz:1 date:1 xx:1 xy:1 choose:1 v9:1 dividing:1 open:1 xw:1 ser:1 given:9 publication:1 hyperbolic:1 introduction:1 unknown:1 top:1 system:7 relations:12 their:8 wonderful:1 inversion:1 normalization:6 realization:1 siam:2 especially:1 reciprocals:2 cite:1 speaking:1 gives:1 shifted:1 fraction:2 mostly:1 tuple:1 moscow:4 exactly:2 serve:1 yield:1 notices:3 part:2 face:1 recurrences:1 okado:1 x2:1 off:1 july:1 horn:1 representing:1 below:1 positively:1 indag:2 shansky:1 double:3 tree:3 zero:1 limiting:4 seminars:1 determined:1 pairwise:2 were:10 powers:1 russia:2 result:2 verify:1 sw:2 ann:1 kajiwara:1 argument:6 curves:1 correspond:1 say:2 rmk:1 seen:2 any:2 paths:1 wilson:5 constructions:1 built:3 cε1:1 depending:2 convenient:2 self:1 internat:3 eπiτ:1 converges:2 oriented:1 instance:1 relatives:1 internal:1 generalized:8 εk:8 εj:3 bailey:17 so:3 coincide:2 canonical:1 relaxed:1 sect:1 calculus:2 residue:3 continuous:3 multiple:10 index:5 d2t:2 friedman:1 measures:1 satisfy:1 birkh:1 did:1 most:5 beta:20 connected:13 but:7 definitions:1 pair:6 t2m:3 analytically:2 retakh:1 observation:1 consequences:1 considered:5 tη:1 enthusiastic:1 phil:1 coincides:5 playing:1 lattice:1 yang:2 ohta:1 reflections:1 exp:2 hn:2 nato:2 physics:4 review:3 fact:2 laws:1 lebedev:1 phenomenon:1 composed:1 dimensionality:1 sklyanin:3 v11:9 terminate:2 discovered:4 convergence:2 miwa:2 multiplicities:1 relation:21 solutions:9 substituting:1 analogue:8 trivial:1 find:1 d1:7 q2:1 based:3 parameters:37 ztj:1 much:1 explain:1 should:2 lemma:2 only:6 bases:1 habilitation:1 coefficients:2 indeed:1 integrable:4 circle:4 γn:2 do:3 his:1 triangle:1 notation:8 means:1 express:1 ϕs:1 cannot:1 dz:7 dx:4 invariant:5 dw:2 γm:6 neither:1 becomes:1 proofs:1 ramanujan:6 qp:4 volkov:1 surveys:2 qt:5 qy:1 qx:1 arxiv:4 fixes:1 factorization:2 dw1:1 nauk:2 racah:1 gram:1 analytical:2 doubles:1 fixed:4 uw:4 4πi:1 qn:1 coefficient:1 requirement:1 set:1 computed:2 exists:1 higher:1 attached:1 unpublished:1 respect:6 proc:4 edition:1 see:15 changes:2 w1:6 qt2:1 qtj:2 contour:9 points:6 surfaces:1 satisfying:3 kl:2 tool:1 illustration:1 ωk:8 grids:1 diverge:2 symmetric:4 written:2 classes:1 various:2 closed:1 between:1 theta:10 geometric:1 approach:5 discovery:1 meromorphic:7 2πiτ:1 terms:3 parallels:1 qt0:2 rims:2 wk:5 complement:4 incarnation:1 analogues:7 wj:10 however:1 incommensurate:2 ws:7 key:2 multiplier:4 multivariable:3 tuw:2 wz:1 askey:9 restrictions:3 essentially:2 diejen:4 limits:3 many:5 taking:1 weyl:3 δkl:1 equal:1 etc:1 connection:2 passing:1 nonintersecting:1 expression:12 progression:1 detailed:3 ch:2 cn:6 point:2 appeared:5 continuation:3 ca:4 eux:1 dimensional:2 pm:5 pole:1 cx:2 sakai:2 solve:2 consideration:4 polynomial:2 associated:2 zeta:2 analiz:1 cu:1 kernels:2 pp:5 sine:1 described:8 transformations:3 eπi:1 pz:4 due:5 xη:1 reduction:3 zpj:1 combined:1 interest:1 basic:5 expected:1 pk:4 abstract:1 define:4 suggested:5 determinant:3 describe:3 general:11 gustafson:3 xxz:1 sufficient:1 listing:1 gasper:1 spectrum:2 lift:1 determination:1 deep:1 systematic:2 treatment:1 c2:3 denote:7 duke:1 present:5 sutherland:1 case:5 aq:3 p1:1 look:1 exponential:1 straints:1 plain:4 appearance:2 value:2 euclidean:1 suppose:2 fall:1 revisited:1 property:1 constructive:1 shortened:1 unitary:1 century:1 ip:1 triply:1 warnaar:5 thus:2 them:3 ii:1 vs:3 im:5 dual:1 ax:1 limit:7 tzj:2 rfbr:1 binary:1 different:9 formalism:1 author:8 supported:1 barnes:9 began:1 belong:1 eigenvalue:4 lett:1 same:4 γm0:1 complex:4 pad:1 arguments:2 tz:3 proved:5 constructed:3 composition:1 difficult:1 status:1 independent:6 literature:2 infinity:1 complemented:1 πip:1 i0:2 permutation:5 upon:2 hand:8 boston:3 moment:1 levels:1 introduce:3 macdonald:4 infinite:4 changing:1 totally:1 identity:3 mappings:1 d1t:1 shortly:1 reflection:5 nevertheless:1 whole:1 well:19 analysis:3 obviously:1 concrete:1 de:1 without:1 γmk:2 asi:2 felder:1 coordinate:1 termination:4 model:2 calogero:1 stokman:1 left:3 limz:1 gelfand:2 permissible:1 generalization:8 degenerates:2 trigonometric:1 obtain:9 vanishes:1 yamada:1 questions:1 alternative:1 graduate:1 univariate:4 permute:1 previous:1 proven:1 note:2 enters:1 likes:1 tnm:3 kluwer:2 hint:1 auser:1 character:1 parametrization:1 confirmed:1 qx2:1 simple:3 operator:1 valid:5 transformed:2 choice:7 easy:1 theorem:13 biorthogonality:2 poised:9 solvable:2 transformation:13 euler:6 take:7 real:1 analogy:2 rnm:4 represents:4 rules:2 replaced:1 sums:2 possible:1 admitting:1 period:1 fusion:1 rahman:5 combin:1 nor:1 press:5 using:4 unique:2 formal:1 generated:1 appearing:2 like:2 cz:1 systematically:1 follows:1 reduces:2 specific:1 remind:1 yields:10 integrals:33 arbitrary:8 become:2 page:2 replacement:2 therein:1 right:6 old:3 methods:1 classical:2 formulas:3 sequences:5 some:27 expansions:1 elements:1 guarantee:1 examples:3 b2:1 moreover:1 soc:4 mat:4 res:4 integration:9 reproducing:1 dz1:3 does:3 linearly:1 expressing:1 gapless:1 noumi:2 chains:6 sided:1 aεj:1 problems:3 equivalent:1 rosengren:7 bj:4 bk:3 step:1 pq:28 mellin:1 ratios:1 substitution:4 informatics:1 tn1:1 th:2 properties:7 guaranteed:1 would:3 extension:4 constraint:1 freedom:1 basis:3 discussed:2 dependence:1 o:3 essential:1 extensions:1 obeys:1 positive:1 eight:4 introduced:3 other:14 gamma:30 converging:1 mathematical:5 discretization:1 cambridge:7 letters:1 h2:1 h3:1 into:1 h1:1 integral:45 functional:3 three:8 appropriate:4 because:6 references:1 determine:1 elementary:2 anderson:1 λn:2 replacements:2 van:5 log:1 combinatorics:1 removing:1 strictly:1 there:9 available:1 transform:1 initial:3 u2:2 start:1 pochhammer:3 appl:3 handbook:1 inner:1 way:11 jinr:3 2m:8 was:24 assumes:1 function:72 complete:1 form:26 gauss:2 extended:1 hk:2 construction:1 aµ:1 heuristic:1 hl:1 russian:2 raising:1 partially:2 absent:1 compute:1 ux:2 evident:2 2πi:12 uq:1 inside:1 ωu:4 up:1 us:1 theoretical:2 2πiu:3 dordrecht:2 liouville:1 ωj:6 ωm:5 neretin:1 uk:2 acting:1 russ:2 problem:4 uf:1 similar:1 called:8 connect:1 mechanics:1 constant:3 uspekhi:2 koornwinder:1 defined:12 selberg:4 ak:6 aj:4 am:2 textbook:1 convergent:1 continued:3 separating:1 conserved:1 exist:1 periods:3 file:1 laboratory:2 request:1 corresponding:1 az:1 identities:7 check:3 defines:4 functions:93 schlosser:3 qε:1 nm:3 no:6 rains:7 whereas:1 when:2 detail:3 nauka:1 multipliers:2 application:1 finish:1 book:3 role:5 es:5 papers:2 tie:1 theor:3 6j:1 conclusion:1 briefly:1 repeat:2 star:1 dzn:3 models:4 symbol:2 4i:1 vertex:2 αn:3 polynomials:6 stay:1 a1:4 a0:1 du:2 important:3 bounded:2 validity:2 a7:3 kz:1 variable:3 meijer:2 dwn:1 sides:2 structure:1 matrix:3 building:2 bcn:4 regime:2 bilateral:1 assume:2 cauchy:1 space:2 curve:1 hnl:2 having:1 noncommutative:1 lying:1 time:7 n1:3 original:1 once:1 |
0704.3100.txt |@word limited:1 dynamic:3 monte:1 four:4 entropy:1 poorly:2 looking:2 dalcanton:9 under:9 worth:1 thermalize:2 kewley:2 rise:5 govern:3 affect:11 enard:1 dominate:2 supports:1 weinberg:2 solution:2 viable:1 convenience:1 limongi:2 indices:5 heckman:4 force:1 infancy:1 consistent:13 estimates:1 direct:7 approximation:4 surrounding:3 likely:16 rigorous:2 qualitatively:16 implemented:2 blue:8 aim:1 errors:1 interactions:4 reheating:15 above:39 new:2 net:8 increasing:13 ever:1 evolving:2 evaluating:1 whose:5 never:1 equals:3 here:9 ionization:2 reported:2 fairly:2 possibility:1 interpret:1 obtained:7 inefficiently:2 study:6 eligible:1 completely:1 changes:3 prints:2 divide:1 explained:1 peimbert:2 highly:3 visible:1 glance:1 total:8 kobayashi:13 plot:6 reflected:1 would:27 motivate:1 negative:1 noting:5 therefore:6 type:8 until:5 fractions:11 populations:2 successful:2 disruption:1 interaction:2 excellent:2 cuillandre:1 physically:1 hold:4 must:22 abundance:3 mg:23 locked:1 noeske:7 work:14 theories:1 emitters:1 ms:2 springel:13 example:4 mz:3 references:1 indicated:4 give:3 generically:5 involve:1 indicates:17 end:3 recovery:1 provide:4 verify:1 feature:6 chabrier:3 how:35 hot:4 answer:1 bressan:1 widespread:2 description:1 after:4 kennicutt:4 containing:1 lac:1 kroupa:1 mesh:1 kovac:2 law:1 parallel:3 effective:41 2005a:1 maintain:1 green:6 enter:2 acknowledges:1 order:27 wind:142 willman:1 interpretation:11 feedback:25 over:13 summarized:1 vary:14 expects:1 savaglio:3 satisfies:4 8g3:1 before:9 some:16 fit:5 imf:4 striking:1 exhibits:2 better:2 compelling:2 supercluster:1 versus:12 them:9 affected:2 enrich:2 break:2 effects:33 they:32 postulated:1 oxygen:4 brightness:1 reasonably:3 explode:1 reasonable:6 each:34 side:2 mean:30 schemes:2 telescope:2 evolve:24 series:2 used:12 combining:3 substantially:1 laboratory:1 borne:1 driving:5 quantify:1 crucial:1 particles:12 fellowship:1 daniel:1 reader:1 nontrivially:1 newly:1 forth:1 scalings:13 foundation:1 arizona:1 turning:5 linear:1 given:24 formation:108 boosting:1 gasphase:2 estimate:4 incorporates:1 recovering:2 created:1 cosmic:5 creates:1 levels:2 ism:15 corrections:1 onto:5 speeds:8 already:3 features:7 render:1 encouraging:1 synthesize:1 another:8 radiate:1 thick:1 sutherland:2 illustrate:1 similarly:1 top:13 returns:1 approximately:4 confirming:1 intermediate:5 rates:45 observations:36 eqn:2 john:1 unbroken:2 inflow:1 collapse:3 tool:1 zeroth:1 gyr:1 somewhat:7 injected:4 begins:2 distance:2 episodic:3 showed:6 tree:1 second:7 zaritsky:2 preparation:1 matter:2 pasp:1 tion:1 solely:2 modulating:2 fashion:2 unbinding:1 emphasizing:1 seen:14 seem:1 seek:1 tells:2 relatively:20 forced:1 estimated:1 latter:10 responsible:2 isolated:2 predominantly:5 fitting:2 causing:2 2006a:5 forces:2 2006b:5 effectiveness:3 infalling:4 even:14 exactly:2 though:9 object:1 wells:1 overdensities:3 metrics:1 echoes:1 phase:33 coil:2 acknowledgements:1 inconsistency:1 don:2 genzel:1 calculated:2 lose:3 metal:17 inferred:6 spend:1 points:4 principle:5 dot:2 incorporate:2 signatures:2 probe:1 infrared:1 implying:2 mhalo:8 substituting:2 analogue:1 larson:9 resemblance:1 just:3 ment:1 situations:1 explain:5 do:25 dm:2 de:10 preferred:1 despite:9 report:2 dt:2 runs:7 bar:1 chieffi:2 twice:2 analytical:41 implication:3 mergers:4 black:2 unenriched:4 fair:2 job:1 epochs:5 depends:4 result:19 discussions:1 best:6 inappropriate:1 propulsion:1 away:3 continually:1 symmetric:1 simplest:1 approach:2 shields:1 preserve:4 fountain:4 terms:6 extend:2 adding:1 weak:4 however:30 residual:1 loading:33 extent:3 modeling:2 holds:1 improve:2 suggested:1 essentially:1 irregular:1 lensed:1 uncertainty:5 heating:3 against:2 0e:2 exceeds:5 contribution:3 argue:4 ansatz:1 presumably:2 16h:2 timescale:15 16d:1 christy:1 quinn:1 loaded:1 testable:1 conference:1 basis:1 radiative:1 three:33 been:9 quickly:5 much:19 interest:1 basic:3 expected:38 huchra:1 stinson:1 dots:1 dry:1 suppress:9 sfrs:1 stochastic:1 employ:3 near:2 balance:4 leaves:1 ii:5 conf:1 ia:3 shift:1 interacts:1 disappear:4 confirmed:1 cools:1 perform:1 suggest:5 make:2 complex:1 potentially:1 skillman:2 several:4 grows:5 independent:3 satellite:1 numerical:7 rain:1 hand:5 hydrodynamics:1 tune:4 cycle:3 weakly:2 scenario:31 inherit:1 mathews:2 simulated:31 quantitative:1 possesses:1 left:4 stringent:1 carlberg:1 quoted:1 decreasing:2 quasar:2 yee:2 identify:3 farther:1 spherically:1 sightlines:1 somerville:3 modulate:1 previous:2 nicolas:1 mckee:2 enters:4 had:2 5m:1 spread:3 evidenced:1 expelled:1 comprehensive:1 advances:1 observationally:1 disagreement:2 possible:9 upturn:3 boxes:5 background:1 brunner:1 contradict:1 interpolative:1 specific:2 2007b:2 accuracy:1 right:6 pettini:5 successfully:1 linearly:2 flatten:1 escape:18 dense:3 tracked:1 bottom:10 opposite:2 comments:2 when:14 unit:1 readily:4 hst:2 properties:9 takes:1 plug:1 theirs:1 plus:1 steadily:2 efforts:2 slightly:4 considerations:5 soc:1 metallicities:73 presence:7 bound:1 down:7 multiply:1 equilib:1 neumann:1 analytically:1 support:8 initial:2 approximate:1 kravtsov:1 way:14 was:7 lowest:2 head:1 medium:3 form:15 attempted:3 becoming:1 differences:9 encodes:1 sagan:1 failure:1 heat:2 magnitude:1 solar:2 removed:1 true:9 versions:1 daddi:1 maximum:2 tucson:1 stages:1 labels:1 lowering:1 abstract:1 zend:1 evidence:6 simulations:69 regime:3 dotted:1 no:23 na:3 whereas:12 generally:15 reality:2 setting:2 role:6 dekel:28 papers:1 test:4 shrink:1 nw:67 picture:3 models:103 falloff:1 alleviated:2 younger:1 longer:2 assume:12 typically:1 proposed:7 interval:4 governed:7 chiosi:1 stripping:17 time:64 neighbors:1 unavoidable:1 remarkable:1 skip:1 varying:1 alternatives:1 focus:1 leads:7 disfavor:2 remarkably:3 retention:1 inverse:1 depend:5 zone:2 technique:1 environment:6 finally:9 permanently:2 text:2 analogous:3 broadly:8 evolves:2 massweighted:1 choice:5 anonymous:1 ma:1 exact:1 clouds:1 impressive:2 level:5 did:2 steeply:5 lequeux:2 travels:1 solved:1 science:2 governing:2 upper:1 mn:1 slower:1 plummer:1 findings:3 insignificant:2 trend:36 semianalytical:1 prediction:1 sign:1 revista:1 assistance:1 axes:1 uniform:1 current:3 goes:1 falling:2 boost:2 satisfy:3 supporting:1 den:5 prescriptions:2 climbs:3 understanding:7 slow:2 address:1 alone:1 along:8 appears:1 change:1 box:14 noticeable:3 institute:2 root:1 studied:1 trial:1 ineffective:2 irregulars:1 suggestion:1 plotted:1 spatially:1 extra:2 merely:1 sities:1 prefer:1 marked:1 tidal:3 impacts:2 working:1 prove:1 positive:4 predictions:4 tightly:2 scenarios:4 songaila:2 kristian:1 encode:1 scope:1 theoretical:2 today:1 introducing:1 outputs:4 acceptable:1 apparent:2 drown:1 everywhere:2 broadhurst:8 cases:2 clumps:1 insights:2 rotational:1 overproduces:1 originally:2 values:5 believed:1 claim:1 figure:115 predict:3 sense:2 sph:1 sharp:1 yet:2 occur:8 inflows:12 normalize:3 requirements:3 fortunately:1 discussion:4 chemical:3 submillimeter:2 contrasts:1 parameter:4 divides:1 rayo:1 inputs:1 influenced:1 may:11 applications:1 mac:2 produce:7 designed:1 data:6 grow:7 natural:1 dynamical:17 yielding:1 cosmology:2 so:17 progressively:4 halos:24 outflowing:4 typical:5 wavelengths:1 words:4 indeed:15 pointed:1 mainly:2 argues:4 episodes:1 argued:4 cold:2 still:5 tendency:11 observational:7 forma:1 derive:1 group:1 thank:3 interesting:7 encompasses:1 nontrivial:1 decreases:5 forms:2 constitutes:2 main:6 decades:1 downsizing:2 non:1 thereby:5 hinting:1 scannapieco:9 evolution:42 introduce:5 scaling:47 half:1 now:5 discuss:12 halo:37 possess:11 term:2 lies:5 drop:2 establishing:1 possibilities:1 realistic:1 bursty:3 entirely:2 last:2 bridging:1 weighted:7 significantly:13 vband:1 approximates:1 manifests:1 contini:1 owing:34 entering:1 galactic:35 happen:1 eq:25 shown:14 decreasingly:2 factors:6 furthermore:5 increase:11 contained:1 investigation:2 suggesting:1 formula:2 squares:3 correct:8 shows:19 inevitably:1 earlier:4 theory:1 mechanisms:1 brooks:4 quite:6 california:1 cycles:3 collapsing:1 turn:5 massive:40 neglect:2 2005b:1 first:17 origin:21 intuition:3 spergel:2 reveals:1 sawicki:1 xz:12 xy:5 specifically:1 directly:19 carry:3 size:2 little:8 necessarily:2 paramo:2 1z:1 indicate:12 cooling:11 white:6 structures:1 cite:1 gives:7 fraction:36 mostly:2 accurately:2 artifact:1 representing:1 than:82 l43:1 l41:1 l47:1 unfortunately:3 resemble:1 geha:5 future:4 were:13 pre:8 san:1 remained:1 reionization:1 dynamically:1 turned:1 generalization:1 recover:5 any:18 confirmation:1 efficient:8 note:15 potential:4 take:1 forming:9 converged:1 highredshift:1 mexicana:1 begin:8 trace:6 investigations:1 track:8 ıve:1 correlation:6 falls:1 intergalactic:2 importantly:1 printed:1 remarks:1 baryons:32 proxies:1 conspicuous:1 latex:1 especially:2 surprising:2 average:7 gnedin:1 implications:16 drive:9 ferrara:2 quantity:2 slope:47 emulates:2 show:42 inconsistent:3 aggressive:1 tend:10 enriches:3 ratio:21 histories:17 collapses:1 analytic:3 only:22 enriched:15 thompson:5 birnboim:4 cb58:6 normalizations:2 cannon:1 straightforwardly:1 satisfied:2 cannot:11 murray:5 secondary:3 regarding:2 storrie:1 yield:26 summary:8 dopita:2 xeon:1 predicted:18 flamingos:1 kernel:1 imposing:1 violated:1 relative:16 namely:2 actively:2 fails:1 suffer:1 vertical:2 ways:2 αz:13 outside:1 invokes:1 radiated:1 between:45 affecting:2 across:6 arrival:1 parent:2 originated:1 suppresses:3 jr:1 condensing:1 concentrate:1 virial:5 suppressed:11 concentrated:1 panels:1 erb:15 tractable:1 many:4 region:1 according:4 contract:3 comes:1 nearby:1 duty:4 among:2 afterwards:2 period:1 moreover:5 considering:2 tuning:2 lyman:3 west:1 computing:1 combined:3 reflective:2 direction:1 yeff:38 formed:7 observe:2 doesn:1 irrelevant:1 former:2 those:6 case:23 supernovae:6 outflows:121 fiducial:1 wadsley:1 irrespective:3 taking:1 rupke:2 coupled:1 ellison:2 comoving:2 vesc:3 ambient:9 ym:1 technology:1 different:20 verified:4 media:1 virialized:1 lombardi:1 same:13 epoch:6 compiling:1 arguments:4 l153:1 physical:11 bring:1 boosted:2 lutz:1 driver:4 drives:3 driven:33 running:1 drain:1 largely:1 ıvely:2 floor:1 roughly:26 pertur:1 without:16 alleviate:1 very:3 model:241 justify:3 being:6 captures:3 guided:3 valuable:1 aspect:3 speed:11 blow:3 sampled:1 yr:1 hint:1 photons:2 seems:5 except:5 eroux:1 moriond:1 treatment:7 samples:2 veilleux:1 protogalaxies:1 momentum:27 real:1 around:4 blowout:53 thermalized:1 digital:1 dark:2 department:1 masjedi:1 mon:1 inflowing:4 using:16 accepted:1 particle:9 mlf:40 velocities:3 either:6 always:3 multiplicative:1 output:1 dilution:34 competition:2 erase:1 redshifts:18 matching:1 garnett:8 generates:1 nonzero:4 provided:4 confirm:1 conservative:2 critical:4 inject:1 provides:5 moderate:3 vzw:103 measuring:1 power:1 retains:1 equivalent:1 simplifications:1 ratios:7 acc:37 comparison:6 central:1 discussed:2 l17:1 wolf:1 mixed:1 berger:2 redshift:40 communication:1 ηw:86 hathi:1 rising:4 determine:13 strip:2 speculated:1 accumulated:1 spline:1 fast:1 log:6 assumed:7 there:14 dispersion:7 start:1 low:81 stars:41 slopes:1 neistein:3 enough:6 fundamentals:1 delayed:4 sophisticated:1 garnered:1 mnras:21 schaerer:3 applying:3 improved:2 systematics:1 quantitatively:1 ωm:3 2003b:7 ωb:4 agree:2 obtains:2 strongly:9 certain:1 describe:3 general:6 examine:1 ar:2 postulating:1 file:1 formulation:1 shut:1 gradients:1 az:1 processed:1 incorrect:1 again:4 unobservably:1 graduate:1 tight:9 valid:1 igm:22 forcing:1 poor:6 important:12 bounded:1 peak:8 jansen:1 included:1 building:2 unbind:2 condensation:1 curve:4 enrichment:26 mimic:4 dramatic:1 mass:284 resembles:1 accreted:3 resolution:11 original:2 abundances:3 consider:4 lack:1 moustakas:1 follow:5 disk:1 causes:1 content:1 referring:1 removal:1 diluting:1 program:1 preserved:1 flattening:6 td:4 kσ:1 global:2 mpc:13 straightforward:2 returning:1 far:3 ostriker:2 denoted:2 decide:1 fall:4 difference:3 condition:6 alma:2 large:17 small:19 woosley:2 past:4 rate:51 timescales:3 displays:1 further:6 wmap:1 what:18 hernquist:14 deeply:1 section:24 contrast:3 full:6 escaping:1 iram:1 ranges:2 tracks:5 operating:1 condenses:2 excess:2 directions:1 strong:12 equations:2 legend:2 losses:4 allows:3 experience:3 prior:2 amount:2 published:1 via:9 depart:1 timestep:2 ask:1 analyzing:1 spawned:1 eddington:1 iglesias:2 conventional:1 proceed:1 brinchmann:1 faint:1 comparing:8 taken:4 minor:3 more:82 flat:8 ejected:6 emission:1 lehnert:2 tested:1 particular:8 known:5 producing:1 dex:20 couples:1 none:1 recall:2 equation:23 remain:3 vs:2 evolved:4 history:19 compare:9 cosmological:8 neglected:3 steidel:5 minimum:7 numbers:1 arise:2 concordant:1 magenta:3 axis:4 information:2 goal:1 rather:17 occasionally:1 influences:1 surpasses:1 pilyugin:2 explains:3 yxz:1 simplicity:4 ubiquitous:2 incorporated:2 spitzer:1 fz:11 derived:2 reflect:4 develop:1 short:11 interpolated:1 spectra:1 departure:1 parameterized:2 negligible:4 fundamental:2 turnover:2 reservoir:2 essence:1 paper:6 through:15 existence:8 kinetic:2 kereˇs:6 its:39 style:1 rapidly:15 tantalizingly:1 energies:3 actually:4 late:2 absence:14 verifies:2 systems:4 might:4 entraining:1 good:6 return:4 secondarily:1 propose:1 gadget:3 primary:1 obeyed:1 motivates:1 suffice:1 speculate:1 smoothness:1 association:1 easily:1 hereafter:2 fully:5 presented:1 found:8 heavy:3 generation:3 guo:3 energy:38 reduce:2 idea:11 expect:11 beyond:1 event:1 leave:2 dominates:2 rebound:3 since:5 denotes:6 dominated:14 sloan:1 occurs:7 asp:1 offsets:3 favored:4 rieke:1 reason:6 proxy:1 bouch:5 put:2 rises:1 heroic:1 definition:2 retained:8 success:1 lowredshift:1 rium:1 leading:1 consequence:8 undergo:1 probability:1 prevent:1 relate:1 number:3 dilute:2 done:1 construct:2 differ:3 perturbation:1 jet:1 introduction:1 together:5 moderately:1 least:7 assumption:13 scheme:1 smoothed:1 too:15 shifted:1 relationship:3 baryon:7 optical:2 believe:3 determines:6 anticipate:1 charlot:1 determined:5 aap:4 toward:1 tinsley:8 depletes:1 ages:1 dufour:1 7z:1 lie:5 robustly:1 zero:7 depending:1 speculative:1 astronomia:1 onset:1 k6:1 analogy:1 finding:1 play:3 experienced:1 measures:1 reach:1 most:30 macc:2 significant:10 accreting:2 measured:7 constructed:1 clear:6 sometimes:1 km:18 suppressions:2 part:1 exp:2 velocity:25 physics:2 particularly:2 phenomenon:1 evaporation:1 superwinds:3 fine:1 find:18 impact:15 indicator:3 depended:1 parameters:11 merger:1 less:20 distributed:1 spectrographs:1 factor:32 his:1 invoke:1 dependent:5 rest:2 closely:4 hii:1 silk:10 arxiv:5 oppenheimer:21 blanton:1 investigate:4 inefficient:1 weaver:2 bars:1 set:3 art:1 achieved:1 declines:5 achieves:1 gehrz:1 see:17 individual:10 descriptions:1 close:6 dwarf:3 currently:2 diluted:3 woo:15 smallest:1 various:4 probably:2 oppen:7 conditions:5 available:4 recently:5 attention:1 poorer:1 shortlived:1 distinguish:1 mbar:3 both:28 folding:1 desired:2 sensitive:3 connection:3 context:3 point:5 reasons:1 recycling:1 corresponds:1 coincidence:4 dimensional:6 homogeneously:1 simply:2 linux:1 throughout:2 suppressing:5 expensive:1 decline:5 described:2 perspectives:1 due:3 ensured:1 5gyr:1 ph:4 firm:1 sanders:1 lived:3 partly:1 gas:243 else:2 understand:8 representative:1 systematic:6 ılchez:1 ǫb:1 intriguing:4 handling:1 uncertain:3 look:3 solid:7 straight:1 while:44 replaced:2 match:6 behavior:20 error:2 guide:1 concurrently:1 reddy:3 rix:6 enriching:2 averaging:1 binding:1 apjs:5 apjl:5 itself:4 owes:6 ready:2 baseline:1 grant:1 orders:1 shorter:11 read:1 emphasize:1 widely:1 survey:1 conflict:8 higher:17 literature:1 appreciably:1 strength:3 uses:1 implementation:2 implement:1 recent:5 early:7 lower:25 older:1 analysis:2 tissera:1 consistency:1 self:9 hypothesized:1 woodward:1 shape:7 questions:1 regardless:4 alternative:2 tables:1 cut:2 conclusions:5 source:3 haardt:2 theorem:2 input:2 remaining:2 nasa:4 bin:6 couple:6 helpful:3 apj:31 excluding:1 semi:1 systematically:4 follows:4 interestingly:5 disks:1 shapes:2 continue:6 yields:29 popular:2 essential:2 faber:1 often:1 abundantly:1 back:5 understood:7 trends:27 towards:4 infall:7 scale:103 affects:2 measurements:13 per:2 efficiencies:22 tends:1 proc:2 run:9 processing:9 aj:2 agreement:31 step:2 departures:2 recalls:1 plots:2 constrains:2 constraint:2 brinkmann:1 simulation:22 range:20 consequently:1 into:39 within:11 shed:1 edmunds:6 perturbing:1 shapley:7 selected:1 primarily:8 proportional:5 imfs:1 alison:1 clustering:2 uncertainties:3 span:1 conceivably:1 extremely:1 smoothly:5 question:7 long:13 forward:1 sections:5 considerably:2 elsewhere:1 governs:7 collapsed:1 memory:1 mcclure:2 line:10 considerable:2 papovich:2 characteristic:9 uv:14 up:4 us:10 prep:1 exploration:2 civ:1 highlight:1 similar:26 called:2 bell:1 constant:40 defined:2 stripped:1 metals:42 single:3 reservoirs:10 research:3 formalism:1 steeper:1 nas5:1 amounts:3 dashed:13 accounted:1 shallower:4 draw:1 elements:2 energetic:6 gross:2 polomski:1 astrofisica:1 lucia:3 generated:1 allowing:2 suppression:18 fisher:4 structure:5 agn:1 correlated:1 implies:3 algorithm:3 age:1 required:5 holes:3 bergh:2 equivalently:3 depth:1 implied:2 correlates:1 fresh:1 requires:3 having:6 once:6 katz:2 code:3 partial:2 illustrates:1 issued:1 results:20 eds:2 winds:74 perturbations:5 denmax:1 hypernova:7 issues:1 compact:1 adelberger:6 young:2 stable:2 fatal:1 dramatically:1 indicating:13 random:1 g3:2 implicitly:1 continues:1 mixing:1 continued:1 entire:1 positions:1 ryan:1 relation:35 noted:3 concluded:2 zm:4 smaller:6 zg:64 imply:3 booth:1 carlo:1 universities:1 index:1 plays:2 giving:2 reaching:1 consistently:1 pristine:2 renders:1 body:1 lee:7 respectively:10 pushing:1 youngest:1 growing:2 explore:1 others:3 deduced:1 dividing:1 larger:11 leaving:1 suggests:14 preferentially:4 resulting:8 climb:2 makes:2 delays:1 suprising:1 examining:1 showing:1 scales:35 photometric:1 private:1 scaled:2 decrease:2 buildup:2 apply:2 use:14 consumption:1 next:5 few:4 themselves:2 reflects:4 hydro:1 governato:1 upcoming:2 becomes:4 mismatch:1 normalized:6 discreteness:1 actual:3 iii:1 sample:5 account:14 averaged:4 reproduce:12 obvious:1 thin:4 drops:4 scatter:76 weaker:4 escapes:2 process:7 flaring:1 loci:3 purposes:1 high:39 effectively:3 assumptions:6 tal:1 weaken:2 six:1 hensler:1 evidently:3 regions:3 varies:15 elliptical:1 instead:7 circular:7 fare:1 highz:1 await:1 gardner:2 demonstrating:2 fits:3 ties:1 efficiently:10 introduced:6 light:2 lines:13 correspond:6 serrano:1 allow:1 bins:8 evolutionary:5 produces:8 insight:4 bechtold:1 produced:2 overdensity:2 including:1 during:7 converting:1 accrete:6 galaxy:115 delay:1 outer:1 la:1 chosen:3 masses:71 owe:1 inspecting:1 photoionizing:1 imbalance:1 greater:4 material:6 mention:1 dav:50 scaledependent:1 bresolin:1 rencontres:1 february:2 undertaking:1 university:1 identified:2 lowmass:4 kpc:2 mode:3 accounts:1 traces:1 francisco:1 constraints:12 homogeneous:1 doing:1 w16:1 related:1 constitute:1 subdominant:1 calibrate:2 measure:4 relates:1 tenth:1 out:14 ejecting:1 ret:11 rossi:5 cause:3 integrated:2 red:9 torres:1 8h:1 tully:4 galaxies:253 unipolar:1 conflicts:3 shortest:2 hubble:6 backwards:1 dubbed:1 determining:2 could:11 times:30 metallicites:2 length:2 explored:2 removing:2 hence:59 retain:11 facilitate:1 succeeds:1 third:1 reaches:1 intuitively:3 reached:1 precisely:1 strict:1 bears:1 relations:5 their:73 accretion:79 normalization:18 bosch:2 precipitously:1 boil:1 explanation:5 shallow:3 contribute:2 lists:1 reflecting:1 observed:71 ben:1 submitted:2 limiting:1 inversely:2 amplitude:17 providing:2 steep:4 exhibit:7 superwind:5 cohen:1 curves:6 supercomputing:1 unlikely:3 need:4 constrained:4 clearly:4 viewed:1 she:2 angle:1 min:1 studying:1 able:2 gravity:1 mechanism:4 instance:2 incorporating:2 sn:1 criteria:3 unless:2 collaboration:1 who:3 sfr:55 mimics:1 but:20 preliminary:2 intrinsic:3 why:7 volume:3 eject:1 neighboring:7 32h:8 stronger:2 face:1 hierarchical:7 snapshot:1 constrain:6 fact:32 tassis:5 purely:2 rough:1 trivial:1 agrees:3 decade:2 subtracting:1 based:6 baryonic:25 hydrodynamically:1 hopeful:1 should:20 jan:1 ellingson:1 gradual:1 bundy:1 local:5 equilibrium:38 means:2 hopefully:1 overall:2 flattens:1 mdark:1 ones:2 joins:1 collisional:1 nearly:2 areas:2 following:5 processes:13 densities:12 luminosity:7 differential:1 tuned:4 hydrodynamic:7 contain:1 fixed:2 view:5 requirement:1 computed:2 expel:6 variations:1 frame:1 respect:2 computer:1 enhanced:4 operated:1 madau:2 closer:1 phases:4 destiny:1 nature:3 diverge:1 favor:1 state:1 w32:1 identification:2 closed:15 crude:1 progress:1 neither:4 comparable:5 reproduced:5 opening:1 importance:2 supernova:9 efficiency:22 reproduces:12 hypothesis:1 key:9 distribution:5 declining:2 kudritzki:1 observable:19 2003a:2 limits:1 salpeter:2 equal:4 attributed:1 ln:6 figures:7 weidner:1 regimes:1 trajectories:1 detailed:9 relevant:1 tacconi:1 conclude:1 cf:7 environments:1 table:2 cw:97 fountains:5 estimating:1 addition:3 trajectory:1 outflow:39 slowly:14 treat:2 indicators:2 define:3 field:1 arises:4 corresponding:4 sufficient:3 bulk:2 inconsistencies:2 astron:1 prescription:1 present:10 multi:2 novel:1 ejection:1 primack:1 value:10 will:35 correspondence:1 almost:1 delaying:1 thus:2 surface:3 equilibrate:1 examined:1 vw:23 regression:1 generic:3 radiation:1 highlighted:1 propensity:1 unity:3 largest:1 units:1 infer:6 difficult:5 practice:4 mzr:198 cubic:1 upon:2 effect:14 v2:1 tremonti:13 tighter:3 off:4 center:1 nevertheless:1 ingredients:1 well:27 redshifted:1 sets:2 comparisons:3 arising:1 kauffmann:4 spherical:6 excessive:1 starforming:1 softening:1 heavily:2 increasingly:1 accurate:1 obtain:8 predicts:4 rapid:1 density:6 absorption:3 supply:1 sky:1 meisenheimer:1 simple:11 combine:1 nor:3 kick:1 resolved:4 finlator:22 increased:4 weymann:1 increases:14 five:1 know:2 immediately:2 prominent:1 loss:13 necessary:2 like:2 lost:5 alternatively:2 qualitative:8 displaces:1 martin:4 become:2 works:3 exceed:3 because:44 sequence:1 belonged:1 searching:2 growth:14 transport:2 happens:2 lead:4 sufficiently:2 broad:1 avoid:1 instantaneous:7 does:43 assuming:12 demonstrated:1 obey:2 slight:6 stellar:82 pressure:5 host:1 although:20 offset:7 analyses:1 panel:11 gained:3 about:3 rare:2 msph:1 universe:5 introduces:1 dependence:9 carries:1 reproducing:2 equally:3 own:3 previously:3 windhorst:1 h0:1 interstellar:2 national:2 van:5 additional:2 justifying:1 leitherer:1 overestimate:1 naturally:9 function:20 progenitor:3 overlapping:1 astro:4 construction:2 goals:1 convergence:1 highest:5 partially:1 made:6 compute:3 evident:1 instructive:1 whether:11 wish:2 gravitational:2 portinari:2 smooth:7 placed:1 below:49 converted:7 ruling:1 demonstrate:1 problem:2 piece:1 display:1 eisenstein:1 accretes:2 myr:4 denote:7 referee:1 our:206 ing:2 proceeds:1 inc:1 functions:1 compared:21 calibration:1 detail:7 other:18 compares:5 details:3 quantities:2 conclusion:1 zheng:2 star:111 tullyfisher:1 variation:2 metallicity:100 additionally:9 jackson:1 astronomy:2 coupling:7 prevalent:1 starting:2 baker:4 space:3 tvir:6 volumes:6 determination:1 expands:1 indirectly:4 |
0704.3101.txt |@word partial:1 rev:2 magnetic:1 results:6 four:1 contributions:3 goeke:1 γn:4 th:2 γa:1 include:1 amplitudes:2 very:1 mn2:2 focus:1 developing:1 list:1 atsushi:1 gρn:2 convenience:1 vector:1 small:1 employing:2 ten:1 kim2:1 approximation:2 zero:1 qualitatively:1 estimated:1 targets:1 employ:2 stands:1 tohoku:1 experiment:2 new:6 acknowledgments:1 respectively:4 here:2 reported:1 asymmetry:6 mev:4 address:4 strong:2 equations:1 differential:4 obtained:1 institute:3 involved:1 study:3 larger:1 funded:1 resonance:9 narrow:2 although:1 apr:1 explained:1 nijmegen:1 meson:2 use:1 would:1 negative:1 nucl:2 approach:3 qcd:1 taken:2 theoretical:2 more:2 ap3:1 ap1:1 clue:1 eκ:1 cases:4 iii:1 account:1 mn:2 mh:1 reproduce:2 obvious:1 following:2 figure:2 process:2 relativistic:1 states:1 indicates:1 numbers:2 rather:1 breaking:1 feature:1 frontiers:1 those:2 tiator:1 parameter:1 lγn:1 photoproduction:8 produce:1 wave:1 data:4 constants:2 effective:4 sr:8 negligible:1 polyakov:2 sa:1 order:1 gµν:1 typical:1 six:2 rijken:1 nucleon:10 mainly:1 brain:1 busan:1 japan:2 its:4 group:1 thank:1 decay:2 masses:1 production:2 fig:2 non:2 gωn:2 yitp:1 dirac:1 university:5 backgrounds:1 identified:2 each:1 found:5 difficult:1 square:1 hyun:1 osaka:2 investigated:1 isospin:7 ex:2 quantum:2 our:2 large:3 shown:2 matrix:1 factors:1 since:1 lagrangian:2 research:2 may:3 newly:2 ref:1 foundation:1 ecm:8 quark:1 reason:1 term:1 ntg:1 chiral:1 transition:1 times:1 motion:1 explored:1 hadrons:2 seok:1 first:1 exotic:1 symmetry:1 smaller:1 electronic:4 given:1 similarly:1 introduction:1 structures:1 gives:1 shell:2 baryon:2 completed:1 pnu:2 authors:1 than:1 target:5 sections:5 see:1 project:1 determined:2 were:1 manner:1 fµν:1 clearly:1 strength:3 rcnp:1 mechanism:1 note:1 potential:1 korean:1 strengths:1 play:1 collaboration:5 most:1 an1:1 an3:1 baryons:1 measured:1 appear:1 branching:2 antidecuplet:2 observation:1 clear:1 kr:3 yang:1 usual:1 physics:6 fact:2 show:6 γnn:1 supported:2 gauge:1 keywords:1 find:1 mη2:1 based:1 seung:1 parameters:1 state:2 should:2 being:2 only:1 χqsm:2 gev:16 ones:2 exchanges:1 report:1 during:1 2mn:1 fields:1 arxiv:7 set:1 pentaquark:3 computed:1 exists:1 phenomenologically:1 national:2 lns:1 observed:2 depends:1 result:1 terms:1 preparation:1 tensor:1 nuclear:2 written:1 various:2 between:2 invariant:1 transfered:1 µb:8 comparable:1 korea:4 recently:1 jp:2 however:1 suppressed:1 reaction:1 parentheses:1 dated:1 fix:1 experimental:1 ibaraki:1 relevant:1 lagrangians:2 proton:9 dimensional:1 cs:1 table:3 pseudoscalar:1 considering:2 addition:1 pf:1 ph:3 define:1 corresponding:1 both:2 chul:1 photon:1 pentaquarks:1 observe:1 mandelstam:1 moehrd:1 spin:7 present:7 case:3 pacs:1 choices:1 will:2 while:1 momentum:1 praszalowicz:1 couplings:3 thus:1 iv:1 ii:1 il:1 technology:1 d15:1 different:1 formalism:1 grant:1 radiation:1 cross:5 member:1 strange:1 neutron:9 higher:1 used:1 numerical:1 kim:3 recent:1 off:3 center:2 largely:1 well:5 comes:1 model:2 researchers:1 left:3 moments:1 ch:3 λn:2 previous:2 cut:1 candidate:1 lett:1 republic:1 extensive:1 mh2:1 5c:1 yukawa:3 around:1 government:1 february:1 helicity:2 background:2 using:1 like:1 follows:2 interestingly:1 nucleons:1 parity:2 right:3 born:3 moreover:2 electromagnetic:1 assuming:1 bk21:1 refer:1 hosaka:4 kyoto:4 ratios:2 graal:17 about:2 works:1 choi:3 anomalous:3 krf:1 strangeness:1 kuznetsov:2 ηn:3 into:1 within:1 references:1 determine:1 theoretically:1 hep:5 assumed:1 there:1 width:4 was:5 elsewhere:1 form:1 soliton:1 partially:1 compute:2 understood:1 us:1 below:1 pusan:5 ki:1 aa:1 ac:5 constant:1 defined:1 abstract:1 general:1 work:6 distributions:1 gηn:4 nam:3 field:1 other:1 role:1 details:1 spatial:1 department:1 conclusion:1 reportedly:1 vertex:1 stoks:1 a3:1 important:1 peak:2 variable:1 fermi:1 coupling:4 dω:8 assume:1 values:1 dσ:8 mass:1 resonances:6 |
0704.3102.txt |@word represent:1 gr:4 rev:7 results:19 existing:1 leads:4 gf:4 scalar:9 entropy:12 consists:1 cases:3 consider:10 devoted:1 whose:1 ıs:2 inverse:3 depend:4 equivalence:1 intensive:5 finally:2 critical:9 aut:1 th:1 under:4 hermann:2 include:2 indicating:1 ingredient:1 applied:1 advantage:1 very:2 springer:1 choice:3 sons:1 affect:1 exact:1 vast:2 four:3 obvious:1 solves:2 hamiltonian:2 turns:3 solution:4 pullback:3 solved:1 vector:1 burke:1 yale:1 generalize:2 equation:9 jhep:1 specially:1 consistent:3 direct:1 divergencies:1 sign:5 second:9 arnold:1 further:3 dynamics:1 chem:1 situated:2 linear:1 even:1 what:2 plays:1 3s:2 diag:1 section:7 brief:1 3j:2 version:1 above:3 waals:3 shared:1 satisfy:2 relationships:1 hern:1 respectively:3 component:1 here:3 herlt:1 address:1 consideration:2 equations:7 appears:1 change:5 differential:2 obtained:7 instituto:1 root:1 study:2 studied:2 allows:4 completely:4 contradiction:3 example:2 resulting:1 usually:2 opinion:1 suitable:1 makes:1 particle:1 formulated:1 useful:1 coordinatized:1 vii:2 convexity:4 highly:1 turning:1 apply:3 total:1 select:1 derivatives:1 use:10 takes:1 would:5 commun:2 positive:3 contains:3 charge:3 properties:12 m5:5 m4:6 m7:3 m6:2 m1:3 therefore:1 m3:2 characteristics:2 taken:2 associated:4 reissner:10 flat:13 initiated:1 organized:1 om:9 curvature:27 those:1 everywhere:1 marcel:1 particular:2 known:4 projective:1 hole:44 iii:4 must:6 mg:1 der:4 work:8 det:1 reproduce:6 mt:1 cai:2 caratheodory:1 values:1 three:2 learn:1 following:5 ruppeiner:32 gqs:1 mx:1 gqq:1 performed:2 del:1 conformally:1 wang:1 relativistic:1 sense:2 suggestions:1 define:2 states:14 indicates:1 his:1 numbers:1 degenerate:2 allowed:1 interpreted:1 dj:7 yet:1 guarantee:1 azquez:2 information:5 needs:1 hoc:2 kenna:3 di:2 feature:1 how:1 pure:2 answer:1 instead:2 hi:2 verlag:1 explains:1 simplicity:1 fr:2 description:1 undergoing:2 singular:1 thermodynamic:70 wiley:1 singularities:4 mapping:10 demanding:1 applications:1 birthday:1 phenomenological:1 cambridge:6 representations:4 law:9 bekenstein:2 andez:1 natural:2 johnson:1 grant:1 su:1 extremal:7 cannot:2 so:3 fundamental:10 correlation:1 representation:14 order:7 serge:1 maccallum:1 produces:1 developed:3 satisfied:3 outer:4 paper:2 through:3 statistical:11 hypersurface:1 quevedo:5 existence:2 satisfies:1 still:2 its:13 s2:1 derive:1 group:1 nordstrom:1 chosen:5 interesting:3 relativity:2 coordinates:6 gen:2 dedicate:1 degrees:1 choose:2 main:2 non:12 their:3 propose:1 introduce:3 geodesic:1 newman:1 mention:2 hernando:1 they:3 identically:1 front:1 thus:2 now:4 bengtsson:2 possess:2 easily:5 term:2 2q:3 2s:2 always:3 university:4 brody:4 kerr:17 each:4 found:2 2n:2 characterized:1 mean:1 square:1 dωh:1 series:1 energy:4 principles:3 related:6 applicable:1 constitute:1 literature:3 static:1 measure:2 quantum:4 our:6 transitions:8 eq:7 event:1 special:1 out:3 try:1 shown:7 space:27 furthermore:2 since:3 induces:2 projected:1 research:2 reformulate:1 acting:1 investigation:2 geom:1 rel:2 get:2 induced:3 issue:2 occurs:3 math:6 shows:2 torres:1 reformulation:1 theory:2 reformulated:1 derived:2 standard:6 φdq:3 clarify:1 approaches:2 york:3 onoma:1 rewritten:2 interaction:4 language:2 geometry:40 could:4 transition:17 motion:1 πj:1 universidad:1 consequence:1 βm:1 santoro:1 generalizations:6 think:1 first:8 origin:4 probability:1 variables:9 number:4 another:1 drastic:2 reached:1 electronic:1 angular:3 computed:1 given:20 temperature:3 πs:2 introduction:2 leading:1 system:12 relations:1 πm:1 anyone:1 needed:1 tiwari:1 statement:1 variational:3 structures:11 final:1 relationship:1 exactly:3 serve:1 prediction:1 part:1 authors:1 probably:1 weinhold:25 believe:2 δcd:1 vanishing:2 john:1 determines:2 unfortunately:2 showed:1 accordance:1 horizons:3 sections:2 see:5 limiting:2 preparation:1 determined:2 contrary:1 were:1 ber:1 radius:1 naturally:1 minus:1 rao:13 preston:1 generalization:5 variable:1 manner:1 need:1 curved:1 obviously:1 clearly:1 hessian:3 zero:2 depending:1 gravity:1 note:1 instance:5 ideal:3 potential:21 band:1 davies:3 coincide:1 untersuchungen:1 criteria:1 allow:3 object:1 reach:1 metrics:35 most:1 but:1 pleasure:1 phase:35 radii:1 why:2 inconsistency:1 exico:3 kb:1 consequences:1 considered:2 clear:1 partition:2 coincides:4 physica:1 points:5 principle:3 exp:4 nucleares:2 velocity:1 ky:1 usual:1 sigma:1 calculates:1 fact:5 drastically:2 show:10 supported:1 rotating:2 implying:1 attempts:1 relation:1 solutions:1 trivial:3 find:7 q2:7 based:1 parameters:5 explain:5 specified:1 written:6 should:2 only:12 explicitly:2 black:72 rich:1 factor:3 stephani:1 sengupta:1 equilibrium:20 dn:1 do:6 dm:6 legendre:63 notation:1 means:10 df:2 de:10 expectation:1 ϕs:1 incompatibility:2 ones:1 closely:1 dy:1 combinations:1 critically:1 dt:1 homogeneity:1 bardeen:1 ds:7 dq:1 processes:1 4πr:1 die:1 conditions:3 arxiv:6 grav:2 naked:3 qc:4 obscure:1 valid:1 riemannian:7 set:5 predicts:3 exists:2 achieved:1 btz:2 unexpectedly:1 differs:1 namely:1 geometrically:2 result:21 discussions:2 terms:7 violates:1 subject:1 hilbert:2 satisfying:1 capacity:1 exponent:1 inappropriate:1 review:2 currently:1 definite:1 diverge:1 state:4 simplest:8 affecting:1 invariant:49 geometric:9 approach:4 discovery:1 preserve:4 notice:4 recently:2 however:4 acknowledgements:1 carter:1 reproduces:1 δab:8 analyzed:4 gtd:28 distribution:2 topology:2 both:3 essentially:1 last:2 limits:1 suppose:1 density:2 according:5 ln:3 context:5 passing:1 expression:1 mechanics:6 conclude:1 simple:5 corresponds:9 dimensional:12 pol:1 applicability:3 moreover:3 throughout:1 diff:1 branes:1 considering:3 described:6 transformations:7 geometries:2 due:5 been:9 mex:2 describes:2 interpret:3 hawking:3 fluctuation:1 collected:1 conacyt:1 ph:1 systems:5 θj:1 generating:1 θi:5 corresponding:11 easy:1 going:1 subspace:2 great:1 new:4 hughston:3 demand:1 θs:2 gab:6 present:4 mashhoon:1 case:15 intriguing:1 pacs:1 nordstr:9 value:5 will:6 fubini:1 near:1 ongoing:1 momentum:2 behavior:7 investigating:1 property:5 conformal:4 guide:1 characterizing:1 seven:1 changed:1 mexico:1 vol:1 vi:2 metric:75 duhem:1 them:2 surface:1 iv:3 ii:3 reads:2 cond:1 dual:1 seen:2 mod:1 φq:7 different:10 ing:1 inc:1 etc:1 perform:1 same:3 any:2 concavity:1 castillo:1 gibbs:11 units:1 proved:2 several:2 higher:1 independent:2 used:14 embedding:5 hoenselaers:1 hand:5 uses:2 potentials:6 infinite:2 invariance:9 identity:2 scaling:1 gss:1 task:1 behaved:1 nevertheless:2 changes:4 well:3 analysis:6 without:1 thought:1 concrete:1 mathematische:1 contact:5 solve:2 components:7 model:4 possesses:1 charged:1 manifold:4 kramer:1 obtain:5 reviewed:1 underlying:3 unifies:1 alternative:1 singularity:6 diffeomorphisms:1 application:5 point:12 nacional:1 thermodynamics:44 internal:3 transformed:2 lett:1 versa:1 reason:1 extensive:7 guarantees:2 transformation:4 euler:2 polon:1 acta:2 depends:1 showing:1 possible:7 munich:1 cf:1 ciencias:1 vacuum:1 press:4 using:18 helpful:1 necessary:2 like:3 dq2:1 follows:3 specific:4 indication:2 either:1 janke:3 arbitrary:4 multiplicative:1 works:3 montesinos:1 because:4 methods:1 classical:5 shen:5 creation:1 calculated:1 choosing:1 respect:4 3r:3 extended:1 ourselves:1 electric:3 happens:3 describing:2 lead:4 avoid:1 thank:1 comments:1 does:6 conclusions:1 grundlagen:1 prog:1 moderate:1 aman:5 2q3:1 rep:3 equivalent:5 agreement:2 pressure:1 although:4 2m:3 between:3 handled:1 about:1 reconsideration:1 impose:1 freedom:2 dependence:2 compatible:3 a2:1 horizon:8 johnston:3 introduced:4 consequently:6 mathematical:1 own:1 statements:1 reinforce:1 within:4 functional:2 negative:5 nothing:1 werke:1 einstein:2 proportional:2 cho:1 analytically:1 van:3 additional:4 area:5 there:8 question:1 appl:1 inner:2 way:2 analyze:3 was:5 unam:1 function:4 complete:1 form:7 fundamentals:1 becoming:1 m2:4 πq2:9 jul:1 formalisms:1 volume:2 heat:1 construction:2 contradictory:6 goals:1 true:3 partially:1 made:1 applying:1 surprising:2 intuitive:1 gravitational:2 ritz:1 smooth:5 up:1 us:6 ωh:21 limit:4 submanifolds:1 uk:3 callen:1 problem:3 more:4 similar:2 called:3 detailed:1 diverges:1 constant:2 ad:2 introducing:1 defined:11 certain:1 abstract:1 describe:2 condition:11 gesammelte:1 general:8 arises:1 exist:1 dθ:3 formulation:1 formalism:3 sarkar:1 defines:1 again:1 functions:2 compared:1 thermodynamical:1 no:7 whereas:5 when:8 vanishes:4 invalid:1 λe:1 field:3 other:8 role:1 details:1 becomes:3 briefly:2 reconsider:1 generates:2 models:1 gas:5 mechanical:1 mat:1 variation:1 important:3 dekker:1 occasion:1 included:1 fisher:13 structure:16 independently:1 implies:4 geometrical:1 calls:1 vice:1 dφ:2 physics:1 interval:1 holes:28 together:1 equivalently:1 mass:11 resembles:1 starting:2 original:3 once:1 |
0704.3103.txt |@word represent:1 concept:1 consider:11 remarkable:1 rev:1 magnetic:22 global:1 amplifier:1 results:9 afosr:1 existing:1 ginzburg:16 code:1 microwave:2 broader:1 edu:2 llc:1 particularly:1 contributions:1 θp:1 whose:1 c0:4 depend:1 calculate:10 mwt:1 send:1 containing:1 recurrence:1 charge:2 behave:1 godunov:1 c5:2 th:1 4x10:1 analogous:1 te:1 pte:1 ra:1 federation:2 advantage:1 very:6 frequencies:12 rise:1 conditions:9 wave:65 klystron:3 electron:6 worst:1 figs:2 fall:1 resonant:9 affect:1 difference:3 exact:3 rn:3 categories:1 vetterling:1 receiving:3 obvious:1 y1:3 level:1 transmission:3 positions:1 list:1 scalar:1 large:4 solved:4 leninsky:1 2κs:3 science:2 small:1 khalatnikov:2 equation:39 blackout:1 wronskian:1 neighborhood:3 oscillation:4 consistent:2 sin2:3 direct:3 pulse:2 µs:19 approximation:5 second:6 cost:2 design:2 profiles:1 surface:3 realistic:2 protrude:1 dynamics:1 langmuir:2 situated:1 zr:8 theory:2 even:8 will:10 what:4 nonlinear:19 plays:1 appear:1 opaque:3 section:3 nec:2 asia:1 thickness:3 current:14 poles:1 above:5 new:2 technology:1 waveguide:1 method:8 sout:4 coefficient:12 outgoing:4 full:2 nonlinearly:1 ms:1 respectively:2 component:3 here:7 perpendicular:1 water:1 desired:3 flannery:1 cos2:5 eiky:1 address:3 directions:2 consideration:1 strong:2 equations:6 appears:1 logarithmic:2 κs:6 remark:1 incoming:14 institute:3 involved:2 leaves:1 larger:2 scatter:1 resulting:2 slb:1 defeat:1 usually:1 military:1 suitable:1 makes:1 involves:1 diameter:5 although:1 apr:1 h3:4 integrations:1 decrease:1 already:1 duce:1 glance:1 market:5 plot:3 use:19 takes:2 would:3 remains:1 contains:1 finally:7 generate:2 equipment:1 calculation:3 call:3 therefore:1 vehicle:67 aperture:1 survive:1 simpler:1 theoretical:1 more:6 flat:1 ode:1 incident:3 solitons:2 acceptable:1 line:2 surprisingly:1 tested:1 carrying:2 basically:1 particular:1 known:3 cases:9 iii:1 nodes:2 commercially:1 must:3 2yn:1 high:10 k02:1 ξh:1 collision:2 sensitivities:1 challenge:3 work:2 ωt:2 performing:1 values:3 dn0:1 reshaping:1 µsp:1 following:12 making:1 drops:1 example:6 4m:1 f0:1 ions:1 f2:1 νv:1 2x10:1 figure:4 give:2 process:2 positioning:1 grant:2 involve:1 effectively:1 abort:1 taking:2 sharp:2 times:1 altitudes:1 simple:7 returned:1 information:2 needs:1 goal:3 flight:1 verify:1 discussion:3 acts:3 enl:1 carries:1 how:1 numerous:1 fourth:1 simplifies:1 optimal:11 ordinary:1 absolute:3 sin:13 circular:2 profile:12 rfbr:1 product:3 fs:9 communicating:1 may:1 max:8 after:6 derived:1 respective:1 substitute:1 s0:4 modest:1 produce:1 lω0:1 waves:18 account:4 5cm:1 choice:1 fl:5 response:6 constants:1 supersonic:1 stress:1 dio:1 third:4 ss:7 ablation:1 sp:14 corollary:1 ghz:2 en0:1 rather:1 maintain:1 so:3 series:1 reduced:1 every:1 sa:3 order:6 travel:1 wavelengths:1 pulsed:2 subsections:1 produces:2 indeed:2 over:1 meter:4 distortion:8 produced:2 held:1 paper:3 through:6 pergamon:1 tridiagonal:2 mentioned:1 y0:4 satisfies:1 still:1 its:6 itp:1 before:2 neither:1 derive:1 longitudinal:1 singular:1 procedures:1 solving:2 vicinity:6 pulses:1 destroyed:1 window:1 offers:1 systems:1 maxwell:4 covered:1 main:4 might:1 h0:3 eventually:1 them:1 good:5 env:1 later:2 yn:24 integral:2 outlined:1 practice:1 performance:1 introduce:2 landau:4 exponentially:1 effects:1 they:4 instead:1 schools:1 singularity:1 now:3 transparent:2 nor:1 fujitsu:2 θs:1 susceptibility:4 february:1 gets:3 publication:1 university:3 classified:1 possibilities:1 sufficiently:6 magnitude:1 reasonable:1 l1:4 found:5 2h:7 side:13 typical:2 heavy:1 el:6 ie2:2 ei:4 weight:1 ee:1 ed:1 vl:8 idea:3 solution:4 challenges:1 frequency:66 ey:2 connect:1 magnets:1 ez:4 ionosphere:1 our:10 beyond:3 nazarenko:3 ep:1 es:2 out:1 category:2 ru:1 100m:1 dbm:1 navigational:1 opposite:1 squared:2 angular:5 fedorenko:1 attracted:1 contained:2 amplitude:4 get:8 induced:2 issue:1 occurs:1 math:2 shows:1 arizona:4 reformulation:1 linear:14 written:1 pumping:32 possibility:2 standard:3 difficulty:1 reason:2 perturbation:1 advantages:2 term:10 put:2 estimate:4 monographs:1 e0:1 wall:1 e2:3 definition:2 watts:3 interaction:6 iω3:1 ion:1 geometry:2 recipes:1 messages:2 βy:1 feasible:2 motion:1 length:2 plane:4 place:1 undesirable:1 ltd:2 hence:1 moving:1 programme:1 comparing:1 neglect:1 first:14 origin:1 ik3:1 major:1 initial:3 isbn:3 features:3 render:1 meeting:1 powerful:1 number:1 devices:2 simplified:3 relations:2 another:3 wavevector:1 carry:1 impossible:2 message:1 fluxes:2 electronic:3 horizontal:1 size:1 ωp2:4 given:13 necessarily:1 rewritten:2 1w:8 needed:1 introduction:5 leading:2 interact:1 achieved:1 system:2 approximately:2 compatibility:1 their:3 rates:1 too:1 calculations:3 airy:1 especially:1 1m:4 final:1 iδ:1 gps:9 fraction:1 moscow:6 continuous:3 newell:4 formulate:1 5x10:10 part:3 dx2:1 than:8 coefficients:2 reflection:2 e3:12 albeit:1 scheme:1 target:2 log10:1 zero:5 independant:1 bi:2 k22:1 determined:2 str:1 were:3 tion:1 gives:5 powers:3 russia:1 iωt:2 raman:1 rewrite:1 correction:2 modern:1 attenuation:3 7v:1 stratosphere:1 ras:3 close:2 need:2 seen:1 slab:1 any:4 numerics:1 conversion:7 strength:2 angle:12 built:1 cε0:1 convenient:1 latter:1 ideas:2 contact:2 note:1 instance:2 k1:9 without:1 square:2 take:6 forces:1 hs:11 transmit:1 destroy:1 accuracy:1 subscripts:1 begin:1 electric:9 normal:2 rhs:6 denominator:1 kao:1 evaluation:1 most:3 propagate:2 plan:2 significant:1 formulae:2 device:1 whence:1 homogeneous:5 analytically:1 measured:2 h1:12 mach:1 kg:2 special:2 surprising:1 clear:2 sometimes:1 cover:1 lλ:3 ks:3 proceedings:1 points:1 electrons:1 contacts:1 velocity:4 ky:1 left:4 physics:4 fact:4 atmosphere:2 ussr:1 lebedev:1 show:2 supported:3 scattered:7 friction:1 fa:1 relation:1 solutions:13 earth:1 d2:6 find:11 d0:7 principal:2 q1:1 ratio:4 proposed:1 parameters:1 implementation:1 situations:1 heavily:1 enough:1 negligible:1 should:2 analytic:8 only:6 going:1 candidates:1 subsection:2 developed:1 local:2 dn:8 do:2 dominant:1 goes:1 dh:8 means:7 amplifiers:1 express:4 fluid:1 beam:3 cannot:2 dz:16 dx:3 dy:9 combinations:1 during:1 onboard:3 ωc0:1 dr:1 him:1 cold:1 transversal:1 tube:1 fields:9 arxiv:1 remove:1 nant:1 investigate:1 schemes:1 outer:1 fitted:1 ωp:33 including:2 fixed:1 valid:1 view:1 monochromatic:3 3cm:2 art:1 attenuated:1 sensitivity:4 topics:1 maximum:4 analytics:1 namely:4 injecting:1 us:8 ignores:2 simultaneously:1 violates:1 best:1 conductivity:1 dlb:1 satisfying:1 expert:1 ωh:1 ways:1 away:2 03m:1 tucson:2 propagates:1 pump:23 presidium:1 various:1 between:2 drawn:2 boundary:13 previous:1 approach:4 rita:2 generators:1 available:8 domi:1 infrastructure:1 terms:8 responses:5 vertical:1 receivers:5 importance:1 however:2 jl:4 efficiency:9 jn:32 key:2 5m:2 group:1 configuration:1 2pn:1 suggested:1 both:12 cos:30 last:1 sheaths:1 region:4 equal:6 against:1 called:1 propagation:10 figures:1 dated:1 receiver:7 collection:1 quite:1 contribution:8 estimation:5 expression:8 finds:7 comes:7 cn:5 point:9 reasons:2 effective:2 period:1 2nd:1 dimensional:1 simply:1 handheld:1 news:1 table:1 html:2 cv:1 appeared:1 kp:7 considering:1 signals:10 invented:1 targeting:1 tuning:1 fre:1 addition:1 κp:9 create:1 computing:1 three:3 been:1 strategy:2 iκ0:7 100km:2 much:6 far:1 basic:1 ph:2 pn:14 tan2:3 fig:23 direction:7 arises:2 corresponding:3 received:1 presently:1 formed:1 gas:1 further:1 cambridge:1 output:1 c9:4 observe:1 angles:13 derivative:1 c3:6 c2:19 c1:19 denote:1 c7:1 c6:2 present:2 c4:2 case:38 k2:9 p1:1 solid:1 estimations:1 sweep:6 say:1 value:8 choices:1 aim:1 receive:4 near:2 suppose:1 many:2 situation:4 study:2 procedure:1 periods:1 layer:11 a4:2 century:1 almost:5 characteristics:1 simulations:2 thus:4 prosp:1 vn:3 iv:1 ii:7 middle:1 ik:2 itself:1 contract:1 quency:1 fn:2 ave:2 ie:3 currents:1 result:3 different:5 dε:1 open:3 sensitive:2 unbounded:1 reshape:1 make:2 recurrent:1 lett:1 same:5 c12:2 parts:2 acknowledgments:1 schematic:1 largest:1 modification:1 dimensionless:2 several:11 higher:3 independent:1 satellite:1 used:7 http:3 see:7 6x10:1 numerical:12 differing:1 hand:14 principally:2 uses:2 purpose:1 resonance:2 50km:1 dielectric:1 gsp:1 lower:2 task:1 off:1 modes:1 nevertheless:2 com:3 no:2 well:4 analysis:1 0x10:75 edge:8 solve:4 log:1 components:2 english:1 coordinate:2 model:1 soviet:1 usual:3 distances:1 gelfand:1 just:1 less:3 transmitting:2 percent:1 plasm:1 obtain:4 εp:2 sources:4 distant:3 qn:12 immediately:1 years:2 scattering:3 based:5 k3:5 rapid:1 generator:1 density:11 zakharov:2 conclude:1 discuss:3 spacecrafts:1 source:6 other:2 inner:2 board:1 usage:1 role:1 c11:2 c10:2 plasma:63 excited:1 build:1 real:2 neglecting:1 iν:35 around:1 depends:1 read:1 plasmas:2 papers:1 possible:6 corresponds:1 schematically:1 whichever:1 grid:3 vacuum:4 press:3 using:19 bit:1 necessary:1 like:2 follows:2 signal:48 velocities:2 diffraction:3 δn:6 communications:2 ai:2 anti:1 c8:1 works:1 essential:1 function:6 www:2 because:5 affects:1 some:8 back:1 b4:1 b5:2 b6:1 b7:1 b0:6 b1:3 b2:1 b3:1 oscillations:2 bigger:1 b9:1 vol:1 scale:2 calculating:1 undisturbed:1 flux:13 electromagnetic:7 ones:1 shall:6 integration:1 per:3 b8:1 everything:1 does:1 linearly:2 propagating:3 bessel:1 refer:1 pr:1 incidence:5 scientific:2 power:25 broadening:1 bn:10 each:1 agreement:3 2ghz:5 pressure:2 step:2 reduces:1 santa:2 worthy:1 described:3 teukolsky:1 properties:3 stage:1 stokes:31 about:4 usa:3 influences:1 discussed:1 dependence:14 o:4 simulation:7 practical:2 union:1 range:1 carrier:1 practicable:1 done:1 act:1 a5:2 introduced:2 slightly:1 book:2 allowing:1 considerations:1 thinner:1 presence:3 h2:17 communication:9 into:8 within:1 numerically:2 radiate:2 due:8 a9:1 appropriate:1 right:15 φss:1 determine:2 operator:1 proportional:1 next:2 a3:3 k12:1 substituting:1 additional:1 area:2 there:5 approximate:5 long:5 eia:1 pa:2 weakly:1 low:18 way:5 8x10:1 2m:3 analyze:1 was:8 a2:2 opponent:1 hz:2 hx:1 form:8 hypersonic:3 hp:17 differences:1 but:5 idealized:1 neutral:1 land:5 underestimates:1 russian:2 encoded:1 injection:1 oxford:1 2d0:1 condition:5 radiating:1 places:1 versions:1 2πi:3 wish:1 ωs:17 robustness:1 up:2 dynamic:2 placed:1 below:1 decays:1 ωl:21 residues:1 problem:2 minutes:1 calculated:7 distance:6 detailed:4 ac:1 required:2 constant:2 05m:2 devise:1 certain:1 describe:2 influence:1 general:5 dξ:6 intro:1 exist:1 rule:1 wavelength:1 sheath:8 curl:1 az:3 check:1 computational:1 physical:2 tedious:1 again:2 functions:3 compared:1 recurring:1 antenna:16 variety:1 dashed:1 whereas:1 estimated:2 when:4 detail:2 field:29 priori:1 detected:1 details:1 b10:1 b11:1 department:2 mathematics:3 nr:1 forcing:1 nv:1 conclusion:4 briefly:1 phoenix:1 finite:2 felt:1 shown:9 variation:1 a1:6 generated:5 important:2 bounded:2 peak:1 a7:1 a6:1 variable:1 a8:4 15m:1 matrix:2 oscillates:1 regime:2 longer:1 assume:3 typically:3 vehicles:2 curve:2 microelectronics:1 together:1 appendix:12 mass:2 wavenumber:2 time:1 n0:34 international:1 agu:1 backward:1 requires:1 having:1 once:1 |
0704.3104.txt |@word limited:1 abundances:26 rom:2 remarkable:2 believed:1 grevesse:1 results:12 gf:2 quadrature:2 gd:3 entropy:2 cooperative:1 abundant:1 synthetic:3 whose:3 nucleosynthetic:1 calculate:1 ginibre:2 paris:1 σtotal:1 environment:1 finally:1 wako:2 th:41 under:2 dex:16 updated:1 zhang:1 very:12 splitting:1 electron:1 shetrone:6 mixing:1 uncertain:1 difference:1 condition:2 severely:1 clouds:1 jablonka:1 level:2 deficient:1 list:4 large:10 small:2 upper:4 smaller:2 grateful:1 ten:1 l93:1 actinides:4 estimates:1 pasj:3 progenitors:1 past:2 enhancement:1 spectrograph:1 estimated:8 observatories:1 zr:1 even:2 errors:10 atmospheric:5 selected:1 suspect:1 above:2 ursa:4 filled:2 explosion:1 dwarf:4 respectively:3 iraf:2 here:1 understanding:1 ionization:1 reported:3 objects:5 asplund:2 possibility:1 concluding:1 ratio:15 along:1 strong:1 observing:1 change:2 obtained:7 institute:1 study:1 larger:1 completely:1 suggests:1 amount:1 adopting:1 narrow:2 studies:5 useful:1 although:2 extra:2 apr:1 explained:1 private:1 scaled:1 apply:1 ando:1 would:1 probabilities:1 next:2 vol:2 therefore:1 panel:4 minor:4 more:8 excluded:1 detail:1 stable:3 om:1 instrumental:1 primarily:2 beers:4 normalized:4 known:5 mounted:1 abundance:56 crosses:1 tokyo:2 science:1 cap:3 oscillator:1 reproduce:1 paragraph:1 nine:2 den:6 exceptions:1 averages:1 scatter:1 point:1 challenging:1 figure:3 process:33 high:9 indicates:1 performed:2 standard:3 association:1 species:2 sauval:1 rather:1 discussion:2 globular:1 christlieb:4 chemical:2 how:1 pure:1 parameter:1 galactic:5 atlas9:1 derived:11 confirmed:1 fe:29 date:1 data:8 constants:1 changes:2 short:1 lundberg:1 effective:1 light:1 spectra:3 lines:19 element:2 ionized:1 metalpoor:2 wyart:2 vapor:1 ishimaru:3 order:1 kaufer:1 typical:1 ivans:3 tolstoy:2 kajino:1 indeed:1 astronomical:4 spectral:3 years:1 produced:2 paper:1 through:1 same:1 spheroidal:2 telluric:1 japan:3 still:3 its:2 galaxy:5 regions:1 group:1 la:4 dr:1 detected:2 production:1 fig:2 hartog:6 ours:1 might:1 pixel:1 them:1 affected:3 material:3 records:1 effects:2 half:3 feature:2 rotation:1 discuss:2 halo:6 nozawa:1 vturb:3 university:2 identified:1 composition:1 possibilities:1 micro:2 magnitude:1 component:9 found:6 referred:1 heavy:6 reactions:1 significantly:2 generation:1 osaka:3 universities:1 gaussian:1 used:4 society:1 primas:1 astrophysical:5 measurement:3 eu:7 our:8 event:3 out:1 shown:2 open:2 since:2 research:1 re:1 hill:6 issue:1 occurs:2 red:4 shows:4 foundation:1 asp:1 galaxies:2 thorium:1 isotope:1 quite:6 reason:1 formation:3 ikuta:1 excesses:4 region:2 estimate:8 telescopes:1 gallino:1 widths:6 could:1 transition:3 cosmic:1 lawler:12 sadakane:13 assumed:3 hence:1 irwin:1 first:4 origin:1 features:2 probability:1 number:4 takada:1 quality:2 given:4 temperature:1 their:9 introduction:1 unknown:2 moderately:2 system:11 adopted:6 sargent:1 indicate:2 confirming:1 listed:3 calculations:3 gives:1 free:1 fraction:1 nilsson:2 wavelength:2 completed:1 accurately:1 blaise:2 optical:1 gyr:6 shigeyama:3 probably:1 than:15 observed:4 noguchi:2 observatory:4 unfortunately:1 determined:15 were:1 providing:1 function:1 well:11 unchanged:1 ages:1 spectrum:16 analysis:12 relatively:4 est:1 strength:1 satoshi:1 nucleosynthesis:4 isolated:1 mechanism:2 note:1 instance:1 fitting:3 potential:1 so:1 strengths:3 hyperfine:1 circles:4 echelle:1 added:3 sm:4 though:4 mcwilliam:2 who:2 most:2 simmerer:3 letter:1 remarks:1 extremely:1 value:6 placement:1 observation:1 surprising:2 calculated:1 partition:1 metal:6 km:5 clean:1 nuclear:3 velocity:2 physics:2 atmosphere:2 phenomenon:1 show:1 text:1 random:3 agrees:9 decade:1 giant:3 based:5 parameters:7 distributed:1 blue:1 should:3 spectrographs:1 only:3 sneden:11 rich:1 local:1 over:2 cowan:5 cote:1 dependent:1 honda:3 overall:1 ones:2 words:1 dy:2 report:1 procedures:1 evolution:1 continuum:2 arxiv:1 common:1 including:7 generations:1 thanks:1 ser:1 exists:1 national:4 detection:2 ara:1 see:2 individual:4 result:8 enhanced:8 existence:1 operated:2 mtk:2 pattern:9 sites:3 woolf:1 between:6 progress:1 tables:1 weak:2 supernova:3 jp:4 however:5 key:1 meaningful:1 suggested:1 received:1 cos:29 σn:4 limits:1 many:1 distinctively:1 uncertainty:4 according:2 agree:3 sensitive:3 present:2 unclear:1 timescale:1 bell:4 cc:1 ce:3 cd:2 wickliffe:1 cs:13 respect:4 venn:3 nobuo:1 pr:2 broadening:4 yushchenko:2 described:1 enhancements:1 dsph:8 due:6 been:2 reduction:1 much:2 logarithmic:2 expected:1 ph:1 life:2 enable:2 reaction:1 itoh:1 formed:3 gas:3 izumiura:1 new:1 determination:3 metals:2 systematic:1 astron:1 those:6 applied:2 johansson:1 hds:1 solid:3 nordstr:1 profiles:1 will:1 while:7 error:7 situation:1 discoveries:1 almost:1 site:1 apjs:3 ii:29 cluster:1 conf:1 capture:19 different:2 author:2 suggest:1 wanajo:4 tout:1 several:3 events:2 neutron:20 higher:6 independent:1 calculation:1 investigated:1 numerical:1 optik:2 publ:1 driven:1 average:4 running:2 levels:2 changing:3 reference:2 recent:1 lower:6 programs:1 macro:1 calibration:1 kashiwara:1 tsujimoto:3 object:14 patterns:2 chronometer:2 comparisons:1 model:6 responsible:3 proposed:2 less:1 nd:6 distribute:1 gravity:1 atomic:3 turbulence:3 captured:1 previous:1 adding:1 rapid:1 cm:2 absorption:5 scales:1 nor:2 heavier:2 around:4 mitaka:2 showing:1 possible:2 smithsonian:2 early:1 grid:1 using:8 accepted:1 advanced:1 atmospheres:1 apj:10 modifications:1 like:3 systematically:1 signal:1 yields:3 page:2 deviation:3 because:3 old:3 teff:2 successfully:1 some:5 table:5 duration:1 arimoto:3 scripta:1 provided:1 scale:3 calculating:1 measurements:2 recorded:1 per:1 actinide:4 assuming:2 unstable:1 rprocess:2 noise:1 ba:8 power:1 equivalent:6 aj:3 agreement:2 stellar:2 ratios:2 analyses:1 stage:1 comparison:1 about:2 carried:1 oi:1 constraint:2 discussed:2 o:2 range:5 os:2 hidai:1 soc:1 cambridge:2 significant:1 communication:1 within:3 three:1 subaru:3 references:1 determine:1 telescope:3 uncertainties:2 log:8 few:1 measured:4 strictly:1 initial:3 long:1 dispersion:3 width:1 low:5 stars:27 was:8 energy:2 aoki:6 head:4 attempted:1 differences:4 but:2 astro:1 collected:1 related:1 solar:12 line:26 hd:3 made:4 kurucz:9 record:1 below:2 limit:1 spectroscopy:1 distribution:1 similar:2 called:1 detailed:1 ac:4 adopt:1 constant:1 abstract:1 measure:1 covers:1 single:1 exist:2 physica:1 simulations:1 collier:1 inc:1 compared:1 dotted:1 no:8 water:1 nao:3 elemental:1 graduate:1 field:13 bisterzo:1 other:14 becomes:1 department:1 er:8 conclusion:1 poor:4 elements:41 star:11 excitation:1 metallicity:9 important:2 included:2 astronomy:3 explosions:1 progresses:1 longer:1 assume:1 age:10 resolving:1 mass:7 time:1 international:1 nuclei:1 resolution:5 having:4 barklem:2 |
0704.3105.txt |@word abazov:1 consider:4 chinese:1 results:14 existing:1 four:9 scalar:35 grateful:1 edu:2 mesons:1 contributions:1 eη:1 compact:1 particles:48 calculate:5 i2:9 graph:9 tr:1 chapt:1 those:10 th:4 x02:4 x01:4 include:3 norm:2 hill:1 p2:25 amplitudes:1 straightforward:1 zhang:2 very:6 listed:2 rise:1 p0:27 focus:1 e13:1 difference:1 exact:1 condition:3 c26:1 presented:1 kawarabayashi:1 irreducible:3 guo:3 solution:1 occurs:1 large:7 convenience:3 vector:22 small:14 relation:1 configurations:1 concluded:1 application:1 approximately:1 b536:1 consistent:3 coefficient:2 sign:1 approximation:25 zero:2 2fπ:1 further:2 dynamics:3 substitute:1 required:1 even:5 aim:1 weakly:1 abe:1 section:7 interactions:2 near:1 3u:1 d3:6 b440:1 3h:1 poles:1 above:11 values:3 net:1 contributes:2 method:2 body:3 full:3 manually:1 ibid:4 exchange:4 respectively:7 component:6 here:1 mev:17 china:2 possibility:1 based:1 strong:1 equations:4 differential:1 obtained:5 lipkin:1 search:1 lemmer:1 numerator:1 institute:1 study:8 studied:1 completely:2 trial:4 atom:1 interac:1 eigenvalues:1 suitable:2 makes:1 y10:4 composed:1 divide:1 gluons:1 extra:2 stingl:1 prefer:1 integrations:1 d72:1 gluon:1 ipx:4 total:3 brc:1 propagators:4 unit:2 predicted:1 flavors:1 derivatives:1 conventional:4 d71:1 takes:1 would:1 remains:1 e1:40 give:4 next:2 almost:1 nucl:5 examination:1 therefore:8 qcd:2 taken:5 scope:1 themselves:1 godfrey:1 bethe:4 reflects:1 more:9 becomes:5 operators:2 factor:4 ip2:1 carrying:3 varying:2 cases:3 must:1 1gev2:1 rotational:1 science:1 equation:36 work:4 mi:4 reads:5 mk:11 oller:1 mv:12 crossed:15 following:21 adjusted:1 example:5 f0:16 beijing:3 compare:1 reserved:1 renormalization:2 stated:1 calculation:7 relativistic:4 organized:1 states:32 lorentz:3 numbers:2 want:2 information:1 regularization:1 s3:4 s2:4 discussion:2 breaking:1 s4:8 write:4 how:2 bind:1 d69:1 parameter:3 d68:1 d74:1 may:3 max:4 ladder:32 after:4 derived:1 confirmed:1 corrections:2 4th:1 qqq:1 fe:1 wave:26 data:3 constants:2 wei:1 natural:2 effective:3 e23:1 light:1 sp:8 su:4 st:1 rather:1 si:2 green:4 sect:7 fundamental:1 barnes:1 representation:2 order:10 gµν:1 superscript:1 unsolved:1 muta:1 help:1 cutoff:21 constituents:1 over:4 mainly:1 satisfied:1 furnishes:1 experiments:3 including:2 y1:15 existence:1 still:1 its:4 before:1 thomas:1 regions:11 derive:4 group:2 decay:25 ln:7 interesting:1 masses:9 2e1:1 lk:1 li:1 systems:3 main:1 decades:1 into:11 s1:4 yi:1 non:5 good:1 greater:1 numerically:2 molecule:2 introduce:1 effects:5 they:4 half:2 now:13 discuss:5 eigenvalue:7 term:2 several:2 university:2 level:2 kroll:1 fπ:1 2e:4 reasonable:1 each:4 found:2 d41:1 side:1 2k:1 heavy:2 overpopulated:3 square:1 ei:1 significantly:1 series:3 energy:21 reduce:1 gaussian:1 related:4 conventions:2 inhomogeneous:1 decays:1 isospin:17 ex:1 measurement:1 quantum:1 our:21 beyond:1 eq:25 ep:13 special:1 really:1 try:2 shown:5 napolitano:1 matrix:3 factors:4 furthermore:3 since:13 rev:21 denotes:3 rd:1 transforming:1 contained:1 investigation:1 m2i:2 m2k:1 denoted:1 c36:1 ref:12 correct:3 shows:2 foundation:1 mφ:8 mρ:10 theory:2 written:7 barro:1 mω:8 free:3 quark:5 indices:2 reason:1 transpose:1 york:1 besides:2 imagine:1 region:1 estimate:1 remainder:1 e2:44 definition:1 interaction:4 chiral:3 ministry:1 widths:9 could:1 omit:2 m21:2 m22:4 david:1 turn:2 iso:31 massive:1 δij:1 hence:3 neglected:3 hadrons:5 programing:1 first:5 key:1 xi:1 features:1 symmetry:2 2p0:6 omitted:1 potentials:1 number:2 channels:2 fayyazuddin:1 least:1 another:1 carry:1 size:2 given:3 likely:1 similarly:2 introduction:1 mcgraw:1 eqs:9 system:38 xin:1 their:2 too:2 calculations:2 convention:1 molecular:4 structures:5 final:15 williams:1 observations:1 shell:1 hua:1 odt:1 continuous:1 task:1 lohse:1 part:4 authors:1 x2:27 constituent:8 x0:2 x1:27 than:5 coefficients:2 relative:4 scheme:1 e22:6 approximations:3 tree:1 depends:6 janssen:1 inversely:2 determined:3 contrary:1 amplitude:6 were:1 tion:1 gives:2 powers:1 perturbative:1 lowest:5 close:1 rewrite:1 riazuddin:1 few:2 needs:1 say:2 conjugate:2 exchanging:3 element:1 any:1 contents:1 shestakov:1 quadrature:1 interscience:1 min:4 studying:1 isolate:1 contour:3 note:3 k2:5 k1:4 potential:9 take:9 schematically:1 so:5 channel:5 normal:2 collaboration:7 denominator:1 satisfy:1 most:3 regular:1 nieuwenhuis:1 but:6 significant:1 pair:2 baryons:2 measured:1 fiz:1 especially:1 χp:72 kk:45 kj:2 ki:2 later:4 stronger:1 vertices:2 kl:1 graphs:14 kp:6 principle:1 narrow:1 chiang:1 left:1 physics:1 width:11 fact:7 quantity:2 cdf:1 selected:1 show:5 violation:2 holinde:2 supported:1 discovered:1 iǫ:9 xd4:2 gauge:2 solutions:3 threshold:1 substituting:1 d4:32 3t:1 find:14 d0:1 ground:3 q1:7 d58:1 q2:7 ratio:5 dp0:2 iep:1 explain:1 e12:5 state:53 should:5 only:11 explicitly:3 molecules:4 indeed:1 proximity:1 exchanged:11 do:2 dominant:5 gev:13 notation:2 anselmino:1 vary:1 krewald:1 express:1 tjon:1 liu:1 ones:1 zuber:1 legitimate:2 words:1 invariant:4 2mk:1 dr:1 satifies:1 v1d:4 unfortunately:1 qp:4 regarding:1 resolve:1 fields:3 arxiv:1 acknowledgments:1 investigate:2 paper:8 common:2 qi:1 explanations:1 doublet:1 view:1 kernel:8 requirement:1 set:4 exists:1 b485:1 frame:6 arrives:1 observed:7 aloisio:1 see:16 eip1:1 p21:3 result:7 p22:5 discussions:2 terms:7 momenta:4 wonder:1 closer:1 project:4 durso:1 y2:15 interacting:2 nuclear:1 review:4 pd4:2 pd3:1 label:1 symmetric:1 d59:1 enough:2 various:2 between:5 theta:2 d52:1 babar:1 d54:1 preserve:1 publishers:1 notice:1 recently:1 nature:1 legitimacy:1 p2i:1 weak:2 however:8 wu:1 ji:3 extent:1 eipx:3 come:1 both:3 achasov:4 tractable:1 salpeter:4 equal:1 etc:2 pdg:2 operating:1 contribution:12 expression:2 fix:1 experimental:2 otherwise:1 among:2 ci:4 relevant:2 cn:2 point:13 simple:2 2nd:1 dimensional:3 maintained:1 ab:1 simply:1 wider:1 constant:4 considering:1 described:2 addition:1 simplification:1 due:4 been:8 yao:1 describes:1 treat:2 azimuthal:3 expected:1 yad:1 ph:1 ak:2 choose:1 diquark:3 describe:4 corresponding:8 kaon:1 suppress:1 sufficient:1 neville:1 new:1 else:2 input:3 1gev:1 c1:1 c0:1 present:2 weinstein:2 case:22 exception:1 p1:14 disconnected:1 pacs:1 defining:1 u1d:6 value:3 remaining:1 will:33 while:6 shall:1 taking:5 discretize:1 changed:1 coupled:1 heng:1 ip:19 refs:8 binding:23 them:7 ii:1 need:1 ik:2 ij:10 ic:2 d15:1 containing:1 education:1 perform:1 belle:2 make:2 cross:2 same:7 complex:3 arguments:1 φi:2 dimensionless:1 finite:2 ivanchenko:1 higher:2 independent:2 used:9 closest:1 assignment:1 i3:9 numerical:7 upon:1 i4:1 hand:3 doublets:1 v1:11 v2:11 v3:2 purpose:2 0k:2 invariance:1 normalization:11 recent:1 fourier:1 center:2 pµ:1 depending:1 analysis:2 obviously:2 concrete:1 without:1 solve:3 components:2 lim:1 coordinate:4 model:8 subtraction:1 uniquely:1 just:3 less:1 accurate:1 obtain:4 rest:4 dose:1 assigned:2 identify:4 using:5 flavor:1 scattering:1 previous:2 3e1:1 conclusions:2 regarded:2 except:1 bnu:2 isgur:2 fortran:1 interested:1 suppressed:1 questioned:1 versa:1 iπ:5 transformation:2 momentum:12 zou:1 real:1 yukawa:3 around:1 veff:2 multiplets:2 spatial:1 possible:10 five:5 kloe:2 speth:2 mod:1 insert:1 g33:1 necessary:1 like:2 particle:8 follows:1 lett:7 pole:2 grants:1 eff:1 anti:1 works:1 2ep:2 b479:1 replacement:1 draw:1 grouped:1 right:1 truncated:1 shen:1 acosta:1 some:14 searching:1 calculated:2 q22:1 choosing:2 table:5 proper:3 neglecting:1 gross:1 vol:1 scale:4 xing:1 lead:3 quarks:1 integration:6 instantaneous:8 does:1 y20:4 minimal:1 investigations:1 process:1 2q2:6 2q1:6 vertex:1 equivalent:2 use:2 expansion:1 interval:1 although:2 bs:49 imaginary:1 includes:1 properties:4 proceed:2 chapter:1 comparison:2 about:11 carried:1 world:1 face:1 choi:1 completing:2 discussed:3 o:1 pν:1 range:3 ensure:2 greatly:1 positive:1 meson:7 consequently:1 contours:2 automatically:1 kaons:3 homogeneous:3 contains:1 strangeness:1 puzzle:1 within:2 integral:3 bound:57 ηi:2 three:4 down:2 variable:1 appropriate:2 because:2 references:1 inverting:1 determine:2 b537:1 aubert:1 hep:2 comparing:1 assumed:1 there:7 u1:6 u2:5 start:2 much:1 low:2 way:1 forward:1 m1:8 was:3 propagator:4 lurie:1 naturally:1 function:31 complete:3 form:14 rosenfelder:1 phenomena:1 m2:6 jul:1 larger:2 eb:12 auxiliary:1 jaffe:1 q21:1 whether:4 pire:1 dω:1 up:2 us:10 different:1 considered:2 below:1 b438:1 limit:2 mk2:6 sum:1 problem:2 define:2 similar:3 called:4 strongly:1 gather:1 associated:2 dp:1 defined:7 certain:2 abstract:1 contribute:4 zeng:1 general:1 exist:4 controlled:1 formalism:8 dγ:1 physical:2 again:1 functions:1 compared:4 national:1 no:1 fixing:1 when:12 detail:1 field:4 other:10 details:1 c2:1 quantities:1 out:7 itzykson:1 conclusion:1 picture:3 briefly:1 calculating:2 models:1 become:1 problems:2 mv2:21 stay:3 deriving:2 a0:13 important:5 suppression:1 included:1 proceeding:1 b315:1 sides:1 structure:4 gρππ:7 pearce:1 desplanques:1 coupling:8 pion:1 vice:1 space:7 pseudo:6 d27:1 portion:1 mass:7 lying:2 time:1 serious:1 starting:3 having:1 once:1 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.