text
stringlengths 0
190k
|
|---|
0704.1962.txt |@word ρa:1 a21:2 f2:1 b2:2 cos:3 arxiv:1 tr:1 a22:2 jul:1 a1:11 a2:20 quant:1 dx:3 ph:1 sin:3 |
0704.1963.txt |@word represent:1 sco:1 surrounded:3 harbouring:1 consider:1 illustrates:1 magnetic:2 observatorio:1 results:6 existing:1 four:8 selection:3 broader:1 cuillandre:1 winds:1 disk:19 worked:1 overplotted:1 1b:1 arcsec:9 votes:1 calculate:1 jvs:2 segments:1 show:3 young:2 including:3 bayo:2 ıa:2 monin:1 finally:3 program:2 lori:1 those:10 under:3 include:3 indicating:3 2mass:14 brown:23 belonging:1 lack:3 provides:4 made:1 very:12 discrepant:1 give:1 microns:7 espacial:2 wave:1 grid:2 reddening:2 fall:4 associated:1 multiple:1 anemic:1 ai:1 bandpasses:1 engelbracht:3 illustrated:1 indicate:2 clouds:1 sloping:1 presented:4 deficient:1 notes:1 shock:1 list:1 colors:8 large:11 debris:1 phase:1 prep:1 section:5 small:6 fractions:1 shows:6 inspection:2 caltech:1 programme:1 locus:3 upper:1 smaller:2 faintest:2 pms:1 trend:1 edu:1 detection:3 alto:4 progenitors:1 surrounding:1 likely:3 timescales:1 displays:2 pass:2 further:1 estimated:3 columns:1 goes:1 spectral:15 index:1 what:1 errors:5 appear:7 rate:3 exactly:1 selected:1 stauffer:8 supplied:1 hauschildt:3 allard:3 allowing:1 waiting:1 carey:1 above:5 rieke:2 new:10 filled:1 thin:39 canarias:1 agreement:3 totalling:1 lee:1 degree:2 whose:1 mem:119 irac:64 even:3 iraf:3 indicator:1 jointly:1 hundreds:1 hours:1 kvs:1 baraffe:13 objects:77 focused:1 groups:5 excess:14 represented:3 ratio:5 november:1 quite:1 observing:1 appears:3 interpret:1 box:2 search:1 bouvier:3 dotted:2 institute:1 study:2 larger:8 allows:1 confirmation:1 leaving:2 suggests:4 preferentially:1 survey:12 transitions:1 real:1 formation:4 dougados:1 andaluc:1 changes:1 yyyy:1 plotted:4 diameter:1 via:2 useful:1 ours:1 classification:5 scales:1 apr:1 photometric:3 kuiper:1 while:3 ebert:1 apj:9 visible:4 remnant:1 elamo:4 apply:1 removal:1 establish:1 planck:1 cloud:3 predicted:1 presents:1 use:2 khan:2 takes:1 usa:1 sake:1 nine:1 faint:6 direction:3 next:4 tauri:2 few:6 m7:4 m6:14 m0:4 criteria:4 aperture:15 micron:19 means:2 pipeline:2 type:8 theoretical:2 diagrams:9 more:6 sort:1 flat:4 sharing:1 populations:1 giovanni:1 laeff:3 corrected:1 occurred:1 instrumental:1 ra:1 primarily:1 apjs:4 particular:2 known:1 actual:1 cases:7 aligned:4 iii:120 sample:4 dwarf:5 crosses:7 ma:1 phot:4 trapezium:1 science:5 protoplanetary:1 alone:1 column:1 vs:4 del:1 norm:1 evolved:1 starts:1 following:2 making:1 ın:8 gravitationally:2 initial:7 jansky:2 serpens:1 figure:35 scan:2 process:1 attribute:1 ak:1 ivs:4 organized:1 smirnov:1 high:4 indicates:4 orion:1 way:2 bonafide:1 performed:3 magnitudes:11 omega2000:5 times:1 magenta:2 calculated:1 worse:1 counterpart:1 end:5 cumulative:1 rather:1 ie:1 discussion:6 acts:1 idl:1 chabrier:5 regions:3 located:15 hot:2 edge:1 criterion:5 pure:1 minus:4 instead:1 axis:1 filament:3 circular:1 map:5 mar:1 12a:2 spitzer:34 information:7 cutri:2 max:1 after:5 derived:5 mapping:2 diagram:14 corrections:2 membership:24 mag:14 cam:1 society:1 colormagnitude:1 data:45 parallel:1 types:5 substellar:19 included:10 pasp:1 short:2 attempt:1 effective:1 sets:2 maybe:1 ablation:1 spectra:5 lines:6 correspond:5 ones:2 negligible:4 fundamental:2 correlation:5 obvious:1 operate:1 order:9 wind:1 mccaughrean:2 approx:1 multiband:1 interpretation:1 barnard:3 produces:1 developed:2 over:1 dyk:1 displayed:4 cohen:1 interpreted:1 produced:2 coll:5 paper:18 through:1 filters:1 hii:3 mentioned:1 letters:1 fwhm:2 its:9 symbol:3 before:2 lindroos:2 orionis:41 aper:1 derive:1 group:1 thank:1 imf:2 gator:1 interesting:1 varies:1 decreases:1 circumstellar:8 better:2 detected:16 primordial:6 dwarfs:18 bouy:5 isaac:1 clusters:4 main:3 might:2 pixel:5 versus:2 non:11 good:3 affected:1 sfrs:1 reveal:1 significance:1 yyyyy:60 regarding:4 interstellar:1 apphot:1 band:4 flare:1 they:19 half:1 own:1 sorted:5 now:1 association:6 mystery:1 easily:1 february:1 lithium:1 stated:1 hereafter:3 pc3:1 university:1 classified:15 identified:4 applied:1 magnitude:16 component:1 mode:3 radial:1 found:11 bona:4 photometry:28 processes:1 mean:2 dusty:4 domain:2 square:2 telescope:3 simplicity:1 ed:3 energy:4 ttauri:13 simple:1 gaussian:1 12c:2 starformation:1 inhomogeneous:2 used:16 ha:75 alessio:4 measurement:2 wavelength:5 nnn:3 summary:3 extract:1 event:1 es:16 out:10 try:1 shown:1 unbound:1 undergoing:1 borderline:2 space:2 van:1 guieu:3 since:7 projected:2 research:2 increase:2 may:3 conclusions:1 dominated:2 photometrically:1 jayawardhana:2 suggesting:1 squares:6 supports:1 ri:1 red:4 processed:1 foundation:1 linear:1 offsets:1 bearing:4 total:6 ısica:5 m4:13 possibility:1 standard:2 campaigns:1 200km:2 completely:2 calder:4 california:1 imaging:8 members:75 ori:13 modify:1 intermediate:1 estimate:2 earliest:1 beginning:1 allocation:1 pairs:1 unresolved:1 retained:1 combining:1 widths:4 could:1 transition:10 catalog:3 david:1 filter:1 massive:3 assumed:1 hence:2 ture:1 comparing:1 south:8 lambda:29 adame:1 calar:4 ability:1 already:3 probability:5 reveals:1 diskless:108 onc:7 powerful:1 number:14 dust:2 skrutskie:1 discover:1 done:1 approximately:6 another:6 spanish:3 array:1 fluxes:5 open:5 angular:2 size:8 given:3 natta:2 decrease:1 los:1 introduction:1 test:4 top:2 system:1 least:7 name:8 their:24 accretion:7 rates:2 observations:5 passed:2 luhman:4 iau:2 john:1 structures:1 final:4 listed:6 dolan:11 excellent:1 kolmogorov:1 eponymous:1 fraction:15 relationship:1 centered:8 exploded:1 tool:1 tom:1 took:1 lists:1 cmds:1 technique:2 optical:25 somewhat:1 natural:1 believe:2 than:18 population:4 serv:1 wide:2 kind:2 molecular:4 third:1 ipac:2 double:1 older:1 seen:1 zero:5 submitted:1 limiting:4 matter:1 incompleteness:1 arc:1 aas:1 were:20 radius:3 toward:2 sq:2 pre:2 f8:1 bubbles:1 correction:5 turned:1 spectrum:3 conference:1 randomly:1 substantial:2 headings:1 emission:6 close:8 need:1 allen:8 seem:4 border:1 any:8 complete:9 lie:2 conversion:2 nights:1 depending:5 mopex:1 astronomie:1 latter:1 able:2 gravity:1 contour:1 note:12 mix:1 archive:1 potential:1 saturation:5 burned:1 finding:1 so:1 detector:1 analogs:6 kirkpatrick:1 channel:2 circles:10 universities:1 cocoon:1 hunt:2 relatively:4 wha:78 normal:1 logarithmic:1 object:8 sfr:1 wht:5 most:11 impacting:1 significant:6 accreting:4 possible:2 britton:1 intrinsic:1 class:62 conspicuous:1 stands:1 annulus:2 black:1 episode:2 observation:1 consequences:1 average:3 later:1 cover:2 inferred:1 km:1 ks:11 points:7 harvey:2 longward:1 highest:1 normally:1 caha:2 lying:1 slope:18 planetary:2 12b:3 currently:1 particularly:1 intensity:1 wavelengths:4 german:1 blueward:1 spain:4 infrared:14 discovered:1 bright:1 evolutionary:2 tend:1 find:2 principal:1 muzerolle:5 nebulosity:2 giant:1 removed:1 based:21 nachrichten:1 front:1 cousins:1 boundary:2 distributed:3 esp:1 burton:1 discretionary:2 brighter:2 only:16 candidates:11 arcseconds:1 indeed:1 mec:2 circle:3 local:1 astronomical:2 rectangle:3 first:7 do:5 dm:55 bds:1 distance:9 spurious:2 michigan:1 de:7 designated:1 legs:1 obtain:1 observatory:2 nearly:2 closely:1 despite:2 report:1 during:3 respectively:5 years:1 routine:1 redward:1 evolution:2 resolve:1 off:1 covering:1 nicely:1 measure:2 arxiv:1 median:2 suggested:1 yield:1 iraf2:1 dissipate:1 photosphere:1 common:2 contain:1 fainter:5 excesses:13 discussing:2 ically:1 view:2 barrado:16 body:1 set:10 zeropoint:1 ratios:1 our:27 national:2 hα:20 vol:1 evolving:1 statistic:1 up:5 observed:5 roque:1 see:15 individual:4 sec:1 result:2 tables:1 operated:3 contains:1 forthcoming:2 hole:1 yes:1 subject:1 probable:5 extragalactic:1 dithers:1 away:2 nebula:1 calvet:6 µm:18 macros:1 outside:1 morales:4 between:13 tens:1 probably:8 sited:1 conditions:2 across:1 cfht:11 available:2 pc:4 handful:1 creating:1 relative:2 hundredth:1 megeath:6 confusion:1 supernova:5 astrofsica:1 weak:4 however:5 spectroscopic:3 csic:1 harvard:1 here:1 key:1 contamination:1 analyzed:1 gto:1 come:3 pixels:9 assess:1 concentrated:1 both:7 essentially:3 providing:1 last:4 limits:1 hillenbrand:1 similar:4 region:20 la:2 according:11 contract:1 display:2 0b:1 sicilia:5 figures:6 bandpass:1 spt:3 beyond:1 contribution:2 argue:1 nearby:3 among:5 presumably:1 separation:1 timescale:1 point:8 color:23 had:4 ca:1 each:14 jhks:3 corresponds:2 except:2 dimensional:1 distinguish:3 grants:1 invariant:1 iras:3 table:25 throughout:1 along:1 panel:1 7b:1 considering:1 mathieu:11 strong:3 symbols:7 second:5 addition:5 west:5 due:17 been:22 emitter:1 mart:7 isochrone:3 much:2 brice:4 combined:3 collected:4 reflective:1 ph:1 dynamically:1 empty:2 location:2 website:1 obtained:9 faintness:3 describe:1 corresponding:8 deeper:1 ages:2 formed:2 gas:3 instituto:2 binning:1 locations:1 determination:1 covers:2 covered:3 reclassified:1 denote:1 fl:1 former:1 present:6 astrof:3 case:18 multi:1 uncertain:3 look:1 seds:3 ap:4 solid:5 reliable:2 value:4 will:2 nonmembers:1 near:21 magnier:1 cannot:3 error:47 au:4 muchachos:1 unlikely:1 computed:3 identical:1 seven:2 v5:1 independent:1 mannucci:1 almost:1 funded:1 ir:26 thus:5 them:10 dubious:1 equal:1 ii:75 cluster:51 cmd:3 cond:2 yr:1 lada:6 ic:2 confident:1 technology:1 concentration:1 diagnostic:2 samples:1 binary:2 different:15 prior:1 perhaps:1 suggest:3 belong:1 cross:2 same:5 clearly:2 member:8 emphasize:1 big:9 none:1 several:7 showing:1 fide:4 higher:3 status:5 fairly:1 clear:1 strips:1 http:1 views:1 closest:1 assignment:1 blue:1 counterparts:1 hand:2 director:2 isochrones:3 running:3 levels:1 photometer:1 nir:2 mips:17 six:1 mosaic:2 keep:1 yy:3 lower:4 task:1 sed:6 center:14 c69:7 astronomische:1 motions:1 calibration:5 well:6 analysis:2 without:4 yyyyyy:65 calibrated:3 command:1 illusory:1 lim:2 position:1 model:1 14c:1 left:4 thick:36 impression:1 just:1 less:5 being:8 newton:1 starting:4 rest:1 mid:1 indicative:1 sources:22 shape:1 identify:2 disperse:1 immediately:1 alternative:1 october:2 bourke:1 alignment:1 previous:5 blow:2 adding:1 rapid:1 preprint:1 candidate:26 density:2 seems:3 alternate:1 sky:7 laboratorio:2 fig:13 confirmed:2 5m:1 source:6 spread:2 combine:1 inner:4 easy:1 pair:1 east:7 heidelberg:1 match:1 associations:3 tests:1 9b:1 march:1 around:9 lacking:4 situation:1 bands:12 couple:1 extinction:1 smithsonian:1 dark:2 possibly:2 increases:1 five:2 birth:1 testi:2 using:15 part:1 moreover:2 helpful:1 vertically:1 consolider:1 promising:1 necessary:1 like:4 excluding:1 navascu:15 should:2 qualitative:1 disks:40 serves:1 sided:1 flux:5 detections:3 imposes:1 indication:1 either:4 always:2 become:2 2px:1 conclusion:1 alignments:1 preclude:1 towards:1 grouping:1 opposite:1 velocities:1 classical:9 sequence:5 madrid:2 successfully:1 some:13 lbn:2 pacific:1 separated:1 hartmann:12 halpha:3 added:1 observatories:1 images:9 star:36 bigger:1 uncertainties:1 pleiades:1 fov:3 scale:3 dense:1 bottom:3 stronger:1 avoid:1 measurements:4 integration:1 per:2 ddt:1 dots:2 does:4 esa:1 assuming:6 o6:1 deg:2 in6:1 bd:5 muench:1 run:3 11b:1 seconds:3 reach:4 equivalent:12 ingrid:7 aj:8 confidence:1 stellar:13 broken:1 step:1 although:2 offset:2 filaments:2 drawn:3 post:1 prepared:1 intense:1 analysing:1 collinder:10 about:25 census:1 central:7 would:9 calibrations:1 package:2 aguilar:5 island:1 f8v:1 discussed:4 ob:1 o:6 stems:1 range:11 important:1 plus:7 stand:2 discrimination:1 andez:2 slightly:1 pollution:2 frontier:2 seeing:4 cambridge:1 inta:2 presence:10 previously:4 into:4 within:7 yyy:6 bound:3 three:10 down:4 variable:1 appropriate:1 because:5 references:1 determine:4 detail:2 actually:5 ccd:7 hern:1 midir:1 significantly:1 unambiguous:1 m5:29 institut:1 additional:6 her:1 area:13 artifacts:3 measured:2 there:19 approximate:1 long:1 dispersion:3 width:5 camera:2 low:20 stars:65 series:1 astrophysics:1 subsequent:1 slopes:1 analyze:1 was:15 pasadena:1 jy:1 therefore:8 function:5 m8:5 medium:3 north:7 elsewhere:1 triggered:1 latex:1 forming:1 tracing:1 but:14 hu:4 astro:1 taken:2 shorter:1 link:1 related:1 survived:1 survive:1 line:6 level:2 active:1 especially:1 assl:1 datasets:1 arranged:1 embedded:1 born:1 whether:1 uv:3 smooth:1 maximum:1 us:2 ur:1 planet:1 below:5 frequency:1 limit:3 spectroscopy:8 demonstrate:1 distribution:22 panels:1 minutes:1 motion:1 nature:1 strongly:1 exposures:2 pantin:1 ab:4 youngest:1 photoionization:1 defined:4 coincides:1 abstract:1 myr:23 mosaics:3 deep:3 evidence:2 continued:5 proper:2 examine:1 lived:1 right:2 laboratory:1 adversely:1 ing:1 distributions:2 irsa:2 triangles:1 inc:1 redder:1 again:2 compared:2 completeness:1 nm:9 nn:6 no:15 amounts:1 dashed:4 whereas:11 when:6 portion:1 field:5 other:13 spatial:9 department:1 applications:1 expected:3 optically:8 symposium:2 nextgen:1 apparent:2 reconsider:1 truncate:1 provided:1 models:13 photon:1 fazio:2 taurus:5 includes:6 begining:1 arcmin:21 slice:2 palma:2 peak:1 coverage:2 dissipation:1 astronomy:3 sterzik:1 makovoz:2 exposure:1 ago:1 agn:1 younger:1 longer:3 bcd:1 values:7 age:19 factors:2 visual:1 original:1 shopbell:1 ic348:3 nasa:1 mass:24 fact:3 image:10 time:5 cores:1 ny:2 resolution:7 having:3 proxy:1 |
0704.1964.txt |@word limited:1 four:2 farese:1 sch:3 whose:1 aug:1 segments:3 presents:1 under:3 rise:2 figs:5 summarized:1 solution:1 10m:14 estimates:3 direct:3 pulse:1 approximation:1 likely:1 evaluated:5 chen:6 estimated:2 even:7 faye:3 fcut:28 errors:6 above:4 designing:1 contributes:4 coefficient:3 evolving:2 error:8 here:10 hundreds:1 reported:1 logarithmic:2 obtained:20 study:3 fourier:7 changes:1 divide:3 discontinuous:2 replace:1 county:1 counts:1 total:66 linearly:1 plot:11 would:5 scheel:2 negative:3 snrs:2 m1:10 therefore:2 m2:10 zlochower:3 until:3 berlin:1 hole:2 md:3 mf:10 quartic:4 work:3 ωorb:2 timedomain:2 ms:2 example:3 indicated:1 give:9 relativistic:1 organized:1 indicates:3 want:2 times:5 absolute:4 end:10 hoc:2 provide:3 feature:1 how:11 methodology:1 answer:1 oscillatory:3 transforming:2 after:2 mesh:3 minimizes:1 law:2 attempt:3 effective:3 correlation:1 order:30 over:12 vary:1 xi:3 resummed:1 before:6 fit:5 fix:4 better:9 afer:3 fig:46 easier:1 overcome:1 versus:3 eventually:1 them:7 combination:1 band:10 effects:2 they:8 sixteen:2 bank:3 alez:2 40m:8 reasonable:3 each:18 mean:1 schemes:1 independent:2 ligo:48 substantially:2 laboratory:1 rezzolla:1 extract:1 restricted:8 rd:1 re:1 foundation:1 abbott:2 linear:2 veto:1 mω:1 standard:2 formation:1 detecting:4 starts:1 creates:1 corrections:4 moving:2 already:1 rana:1 subtlety:1 primary:1 restrict:1 quadrupole:1 similarly:1 top:2 needed:7 confirming:5 rates:3 listed:2 inconvenient:1 john:1 ranging:1 17a:1 somewhat:2 distance:1 target:10 showed:2 princeton:2 approximations:1 second:2 preparation:1 tion:2 powers:1 sathyaprakash:6 quency:1 seem:1 relatively:4 thoroughly:1 latter:8 asymmetric:1 fitting:6 absorbed:1 blue:2 shall:13 extending:1 optimized:4 vallisneri:5 quantitative:1 phase:64 assessed:1 100mpc:3 observation:2 calculated:2 detectors:11 points:1 principle:3 urgency:1 ending:4 waveforms:216 gauge:1 implementation:1 coefficients:1 pursuing:1 mend:6 continuity:1 tonoise:1 dm:1 ˆf:1 df:1 de:6 db:1 preferred:1 scripts:1 despite:1 dt:3 runs:1 increasing:2 release:1 blanchet:7 pfeiffer:6 reference:3 sensitivity:3 detection:5 depends:3 result:4 marronetti:1 best:15 techniques:1 panels:4 artificial:3 symmetric:2 tolerance:1 terms:7 extend:2 restricting:1 however:9 modeling:1 improve:3 c22:1 cos:2 triggers:1 inspiraling:12 chernoff:1 uni:1 contribution:7 expense:1 xith:1 esposito:1 fre:1 lehner:1 three:24 been:4 extraction:1 much:8 interest:1 expected:3 exactness:1 dots:1 families:29 quantities:2 spin:4 resummation:1 near:2 balance:11 procedure:2 seven:2 phenomenological:2 iv:10 ii:14 perform:1 drawback:1 quant:4 whitened:5 filtered:2 several:7 templates:49 fairly:4 peaks:1 numerical:36 monotonic:2 tune:2 cycle:7 maximizing:3 inherit:1 epn:60 rome:1 dominating:1 claims:1 left:7 proposed:1 bandwidth:4 identify:1 farther:2 yet:1 previous:1 adding:2 candidate:1 patching:1 campanelli:3 coalescing:6 rescaled:2 bands:1 possible:11 3pn:5 advanced:12 cext:9 specific:1 arbitrary:1 evolutions:4 signal:43 creighton:1 www:6 right:9 glance:1 tartaglia:1 txt:1 ico:5 bottom:2 normal:1 contributing:2 derivatives:1 predicting:1 oscillating:1 shifting:1 greenbelt:2 post:4 o:2 plus:5 horizon:1 slightly:8 automatically:1 22n:3 down:55 khurana:1 often:1 support:1 initial:25 transform:5 class:4 fraction:2 astrophysics:1 was:6 lowest:3 medium:7 form:7 offer:1 differences:13 solar:1 true:2 versions:1 attached:2 maximum:7 mtk:1 stages:7 examples:2 computing:3 sometime:1 simulations:29 check:2 constructed:2 nj:1 faithful:5 nn:1 no:2 agreeing:1 whereas:2 generally:1 nx:1 interested:1 test:4 nr:126 superposition:3 models:33 interferometric:1 longer:5 dω:2 assume:2 together:7 time:51 winicour:1 assump:1 particular:2 focus:2 leads:1 row:2 inverse:3 depend:5 technique:1 finally:5 monotonically:3 ringdown:5 x04:1 brown:1 advantage:1 frequencies:13 phasing:1 hannam:2 choice:1 orientations:1 cook:5 exact:5 presented:3 turns:2 upper:3 unexpected:1 maximization:2 prediction:1 cost:2 spectral:5 adds:1 appear:1 current:9 goes:1 understanding:1 groups:1 address:1 alone:1 change:3 incoming:1 usually:4 studies:1 plotted:1 useful:1 br:3 modifying:1 eiφn:1 ando:1 positive:2 predictions:2 scenarios:1 going:1 sharpen:1 today:1 introducing:3 apparent:1 appendix:4 observations:1 cases:3 modified:7 labeled:1 values:12 following:6 figure:4 expanding:1 sample:1 weighting:1 unphysical:4 spa:37 spanning:1 rescaling:1 andrade:1 discussion:3 s6:1 pure:1 dotted:1 parameter:13 information:3 may:3 max:3 produce:1 snr:12 deviates:1 improving:2 representations:3 data:12 grow:2 hannover:1 natural:1 dynamical:1 maybe:1 explicit:1 sh:3 so:7 hilltop:1 indeed:2 pointed:1 years:2 course:1 cuts:1 still:2 group:12 bonazzola:3 acknowledge:1 interesting:1 nontrivial:1 decreases:1 forms:1 main:2 correspondence:1 mismatches:10 eccentricities:1 matches:2 introduce:6 scaling:1 tails:2 half:2 now:2 discuss:2 nor:1 matched:2 term:11 james:1 drop:5 domain:34 significantly:5 ef:1 gaussian:1 interferometer:3 astrophysical:1 approximated:3 eq:11 adequately:1 living:1 shown:8 stitch:1 space:6 furthermore:1 increase:3 extrapolate:1 investigation:2 suggesting:1 dominate:1 shows:5 quite:3 besides:1 org:1 cycles:47 language:2 transition:1 motion:2 first:13 xh:2 tama:1 xm:2 pn1:2 pn2:2 approximate:1 long:11 directly:5 impossible:1 ring:59 angular:6 interchange:1 given:12 necessarily:1 checked:1 alfred:1 filter:1 gives:10 way:4 schwarzschild:1 continuous:3 proving:1 eliminates:1 released:1 x0:1 than:29 specify:2 future:5 were:5 arun:1 grossmann:2 correction:3 say:4 plunge:1 recover:1 20m:10 any:2 numerics:1 shtml:1 efficient:2 note:9 take:4 performance:4 begin:1 ajith:1 multiple:1 investigations:1 importantly:1 especially:3 surprising:2 considered:5 average:1 later:2 slope:1 show:31 ground:4 ratio:16 analytic:11 only:25 explicitly:2 black:4 get:3 closeness:3 αf:3 cannot:1 nearly:2 geo:1 settings:1 predicted:1 burst:3 imposing:3 comparable:6 blurred:2 relative:1 college:1 sean:1 wonder:1 fails:1 ways:1 subsequent:1 enough:9 between:78 affecting:1 αk:2 across:2 arrival:1 notice:2 vertical:4 comp:1 jp:1 jr:1 comm:1 jf:3 concentrated:1 reaction:1 parentheses:3 many:5 region:1 called:3 dated:1 gws:9 multipoles:2 comes:6 among:2 filtering:2 deviating:1 grants:1 associated:1 considering:1 tuning:5 mark:1 attaching:2 combined:1 direction:1 coherently:2 irrelevant:1 former:1 those:13 case:10 hughes:1 ongoing:1 promising:1 investigating:2 nonstationary:1 characteristics:1 marcel:2 strain:8 motivated:1 technology:1 binary:145 different:26 verified:1 same:16 pad:1 physical:14 pan:2 extended:2 closest:1 driven:1 running:1 modes:10 largely:1 roughly:1 without:2 dashed:5 model:45 dimension:3 being:3 when:21 adjustments:1 aspect:1 seems:1 except:5 lett:10 momentum:6 real:3 around:7 grigsby:1 psd:22 early:8 grid:1 using:18 sperhake:3 reduces:1 agreement:8 either:7 stationary:4 reduced:1 satisfactory:2 deduce:1 specified:1 joan:1 matching:14 provided:1 confirm:2 conservative:3 provides:1 o5:1 measuring:1 scientific:2 power:34 equivalent:1 notably:4 ratios:8 qnm:15 refers:2 comparison:6 choi:2 discussed:4 generated:19 xni:2 baumgarte:1 xnj:1 redshift:1 numerically:1 accumulates:1 references:2 determine:2 accumulated:5 log:2 refinements:1 there:7 start:5 low:13 slopes:1 complete:1 newtonian:6 trying:2 ωs:1 quantitatively:1 koppitz:2 connect:3 ac:1 taylor:5 ad:2 af:7 certain:1 describe:1 general:2 gonz:2 again:1 antenna:1 mathematica:1 hybrid:50 graduate:1 caltech:3 deviation:1 briefly:2 includes:5 120m:12 a0:1 important:4 peak:1 included:2 brandt:1 building:4 curve:6 mass:145 quantify:2 starting:3 original:5 represent:1 monte:1 consider:5 caused:1 talks:1 follow:1 causes:2 fellowship:1 tail:1 program:1 amplitudes:7 very:1 sloan:1 decide:1 difference:24 list:2 t0:12 damped:4 large:9 adjust:2 small:10 lisa:3 ten:1 sinusoid:1 rate:4 design:2 further:4 what:4 section:5 version:1 acknowledgments:1 contrast:3 full:3 loose:1 component:2 ranges:1 equations:4 search:12 options:1 family:24 estimate:4 takes:4 contains:2 quasi:4 comparing:7 taken:2 more:15 tested:3 varying:3 known:3 evolves:1 berti:2 erratum:5 science:5 equation:9 des:1 resources:1 evolved:2 f0:1 compare:10 pushed:1 minimum:2 numbers:4 sense:1 huge:1 needs:1 goal:2 rather:8 szilagyi:1 derived:2 orbits:3 ff:30 waves:4 fi:1 short:7 brady:1 dot:1 spectra:2 extrapolation:2 negligible:1 fundamental:8 help:1 developed:2 ffs:63 paper:5 through:3 angularmomentum:1 avenue:1 its:10 ement:4 solving:3 late:8 absence:1 systems:69 might:5 yi:1 good:13 ym:1 propose:2 yc:14 ff0:33 sweeping:1 always:4 level:1 2l:1 found:13 referred:1 another:2 weight:1 energy:18 hard:2 reduce:4 expect:4 http:7 beyond:1 event:4 really:3 dominates:1 4pn:5 since:16 nonspinning:10 denoted:1 issue:1 occurs:1 guess:1 beginning:1 generate:6 buonanno:11 recast:1 omit:1 consequence:1 eqs:3 probability:1 lovelace:1 number:19 done:7 stage:5 differ:3 introduction:1 leading:2 kidder:2 least:5 calculations:1 smoothed:1 too:3 shifted:1 joguet:1 park:1 part:9 authors:1 focusing:1 meco:1 spacings:1 kind:1 geo600:1 determined:6 toward:1 substantial:1 bhs:3 orders:2 built:4 depending:3 extracted:2 build:5 postnewtonian:1 resumming:1 rhs:1 most:14 significant:7 comparisons:9 extremely:3 deviations:2 unequal:11 performances:6 sometimes:1 cover:4 ext:2 physics:4 joining:2 phenomenon:3 relation:1 finn:2 find:11 lorentzians:3 parameters:39 merger:43 factor:6 circle:1 dominant:1 template:57 express:1 combinations:3 during:10 pretorius:25 resolve:1 arxiv:1 investigate:1 common:1 set:8 achieved:4 achieves:1 see:33 sec:14 close:10 currently:4 smallest:1 conditions:3 available:6 sole:1 both:15 last:16 sensitive:7 pdf:1 baltimore:2 point:11 simple:1 corresponds:1 community:1 simply:1 described:2 due:8 coarse:1 pn:91 generating:1 partly:1 understand:3 systematic:9 demand:2 pacs:1 solid:5 ǫj:14 expanded:6 ǫm:12 while:8 optimization:1 replaced:1 ǫt:11 guide:3 shortened:1 reads:1 seen:1 attach:1 grant:1 shorter:2 lindblom:1 emphasize:2 widely:2 higher:25 used:25 appreciably:1 uses:3 purpose:9 necessity:1 recent:2 lower:10 percentages:1 increases:4 analysis:8 kelly:3 shape:1 questions:1 λi:5 jaranowski:4 cut:4 conclusions:6 signals:2 generalized:2 evaluate:2 couple:1 matters:1 follows:2 interestingly:1 adiabatic:8 flux:3 spins:4 methods:2 some:3 back:1 understood:1 30m:29 oscillations:2 scale:2 broadband:1 affects:1 minimax:3 though:5 waveform:102 connecting:6 tends:2 run:2 bh:10 perpendicular:1 bw:1 lasts:3 caron:1 relating:1 optimize:3 integers:1 simulation:11 range:10 block:3 cutoff:11 computational:2 stitched:3 into:9 within:3 nsf:1 appropriate:6 because:7 proportional:3 rows:1 spac:20 sequence:2 question:2 specifically:3 sections:1 insensitivity:1 properly:2 groundbased:1 line:1 impr:1 infn:1 2πf:3 up:7 us:1 tpn:64 continuously:1 qnms:5 similar:8 alarm:2 constant:3 worthwhile:1 defined:4 lousto:2 single:2 formalism:1 codes:2 amounts:1 fixing:1 nao:1 nal:1 rewriting:1 department:3 draw:3 generates:1 chirp:6 meaning:1 puncture:2 sides:2 required:3 holes:1 orbit:5 equivalently:4 nasa:3 95m:1 fitted:2 requires:1 having:1 once:1 gw:35 code:4 gr:13 results:20 abramovici:1 broader:3 edu:3 compact:2 unexpanded:3 stable:1 maryland:2 include:6 indicating:3 overlaps:1 confirmation:1 wave:3 psds:3 cardoso:2 entire:1 try:1 smaller:6 compensated:1 jump:1 dynamics:3 carlo:1 universities:1 giving:1 expressed:2 henceforth:4 body:4 ibid:7 respectively:9 pushing:2 spacing:2 desired:1 explore:2 focused:1 separation:1 extreme:1 settling:1 larger:7 resulting:1 makes:1 scales:3 pollney:1 scaled:1 decrease:1 resolutions:3 use:18 next:1 few:3 simpler:1 optimizing:3 ugmann:4 becomes:3 mismatch:20 transient:1 normalized:2 eccentricity:1 iii:5 account:4 averaged:1 reproduce:1 drops:1 do:5 calculation:1 purposes:1 high:39 effectively:1 six:1 regions:2 varies:1 attachment:1 instead:4 modulations:1 circular:8 fits:1 light:5 lines:5 correspond:2 inspiral:44 looking:2 meter:3 produced:2 including:2 mentioned:1 perfect:2 decay:9 chosen:2 masses:37 relativity:1 estimating:1 innermost:3 cutting:1 articles:1 february:1 university:3 mcwilliams:3 sufficiently:2 magnitude:2 mode:1 accounts:1 lorentzian:2 doing:1 related:1 frequency:101 measure:1 our:15 out:4 maximizes:1 rev:42 socalled:1 rel:1 maximized:6 ref:29 integrated:1 red:2 frans:1 completely:1 york:1 ridge:1 could:2 keep:1 length:5 reaches:1 improvements:1 proposing:1 reached:1 thornburg:1 system:2 adopted:1 πm:1 their:6 final:9 exactly:2 simulate:1 july:2 punctures:1 observed:1 150m:1 amplitude:43 providing:2 exhibit:1 hz:13 false:2 curves:8 need:11 iφn:1 clearly:1 min:1 studying:1 able:2 mid:2 instance:3 meeting:2 detector:10 subject:1 accuracy:4 unless:1 collaboration:2 eight:1 preliminary:1 segment:5 why:1 neighboring:1 request:1 proceedings:2 construction:1 oscillates:1 fact:3 supported:3 purely:2 postdoctoral:1 convolved:1 5pn:14 based:12 knowledge:1 should:5 virgo:17 bernard:1 ngw:7 candidates:1 ambiguity:1 thousands:1 achieve:5 equilibrium:2 cube:2 means:1 overall:1 inclusion:3 ones:1 words:3 evolution:13 stitching:4 densities:1 approach:3 coalescence:3 grav:4 tuned:1 qc:13 contain:3 fixed:1 computed:16 computes:1 enhanced:3 overtones:3 alessandra:1 goddard:43 closer:6 phases:21 tend:4 crude:1 neither:1 ends:3 fgw:2 importance:2 emitted:4 efficiency:2 key:1 configuration:1 problem:3 2pn:1 taking:1 equal:34 etc:2 figures:3 estimation:6 safely:1 comment:2 adjusted:1 relevant:2 higherorder:1 nonadiabatic:1 conclude:6 harmonic:2 tection:1 table:10 uck:1 addition:1 slowly:1 define:2 suggested:1 corresponding:2 sufficient:1 improved:6 present:3 laser:3 value:7 will:15 dephasing:1 grandcl:4 almost:3 refs:8 centrella:4 thus:14 non:1 examined:1 orbital:7 capture:1 generic:1 radiation:2 indistinguishable:2 unity:1 parts:1 gibbs:3 units:2 φn:2 difficult:1 infinity:1 corotating:2 effect:5 parametrized:1 phy:1 infinite:1 isco:1 argue:1 off:1 center:2 nevertheless:5 well:8 flanagan:1 thought:1 redshifted:1 sets:4 position:3 damour:16 less:7 moments:1 percent:1 accurate:7 obtain:6 predicts:2 density:2 sky:3 reasons:1 add:1 match:19 tests:3 putative:1 mf2:1 five:2 leon:1 variants:1 loss:4 like:3 cutler:1 representation:2 smoothly:1 searching:1 nagar:2 husa:2 iyer:9 happens:3 lead:1 merge:1 breakthroughs:1 overlap:4 instantaneous:1 does:6 noise:4 slight:1 expansion:4 although:5 analyses:3 supermassive:1 panel:7 a1:4 about:4 actual:1 gourgoulhon:4 dependence:2 introduced:6 faithfulness:2 h2:7 h0:4 h1:7 assess:1 60m:1 terminated:1 van:4 sundararajan:1 quasicircular:1 bump:1 quadratic:1 crucially:1 naturally:1 function:7 but:12 hj:1 hh:4 hi:4 hm:2 convergence:4 highest:7 hd:2 truncation:2 made:1 compute:11 evident:1 whether:4 wish:1 gravitational:4 below:4 limit:3 distribution:5 contribute:12 denote:3 flight:1 functions:7 compared:4 oak:1 detail:3 other:13 details:1 plate:1 100m:15 searches:10 eob:32 auxiliary:1 resolution:16 baker:5 factors:2 hnr:8 4h:1 bcv:9 4a:1 |
0704.1965.txt |@word partial:7 consider:3 chinese:1 global:1 amplifier:3 focus:1 subscripts:1 leads:3 entropy:1 higher:3 lewenstein:2 expressions:2 increase:6 c0:9 calculate:1 γs:6 technique:1 schnabel:1 environment:1 finally:1 does:5 squeezing:4 preserved:1 under:4 alternatively:1 tc:14 indicating:1 ta:4 amplitudes:1 ρta:78 exception:2 results:1 probability:2 mixing:1 experimentally:1 difference:2 exact:2 condition:4 entire:1 presented:1 turns:1 tanh:4 solution:11 fewer:1 damped:1 solved:1 olav:1 small:1 eigenvalues:28 optics:1 equation:11 degeneracy:2 smaller:2 hans:1 shatin:1 lodahl:1 among:1 discover:2 cosh:3 elegant:1 zero:9 substituting:1 chen:3 further:2 dynamics:1 odd:4 remarkably:1 blue:1 index:2 what:1 sub:27 neg:1 sum:10 labeled:1 access:1 above:1 new:3 increasing:1 method:3 contrast:1 3d:1 satisfy:1 evolving:3 ρaa:1 ρw:1 respectively:1 shchukin:1 teleportation:1 here:9 amplification:1 china:2 sinh:2 represented:1 strong:2 equations:4 change:1 violate:1 settling:1 bibliopolis:1 remark:4 institute:1 involved:2 study:2 vectors:3 allows:2 hiroshima:1 suggests:1 amount:1 usually:1 fourier:1 involves:1 y12:4 examining:2 via:2 divide:1 family:1 apr:1 hermite:2 ls:1 highly:1 addressed:1 apply:1 total:1 enk:1 linearly:1 wang:1 tn:1 use:1 takes:2 would:4 remains:1 positive:6 scheel:1 negative:15 hilbert:2 noting:3 therefore:7 criteria:1 survive:1 rearranging:1 2y2:2 theoretical:1 more:6 keiji:1 wakui:1 becomes:2 operators:9 inherited:1 emission:1 appendix:7 particular:3 known:3 iv:1 iii:2 suffered:1 negativity:20 must:1 ρa:2 involve:1 ρb:2 dodd:2 science:1 originally:1 mn:2 oscillator:1 measures:1 remain:1 fock:17 values:6 norm:1 ms:8 following:2 example:5 locc:1 council:1 indicated:1 process:3 share:1 topic:1 indicates:2 numbers:2 degenerate:1 sense:2 simple:1 absolute:1 information:2 paris:4 divided:1 orthogonal:1 feature:1 write:1 how:1 hou:1 criterion:4 opposite:1 wolf:2 parameter:1 lam:1 product:1 de:2 blocks:7 description:1 may:3 max:1 after:1 derived:2 different:6 diagram:1 applications:1 designed:1 summarize:1 law:1 revealed:1 fm:1 fn:4 δmq:1 stress:1 dynamical:1 light:1 explicit:4 correspond:1 element:3 maintain:1 so:1 correlation:2 words:2 bipartite:1 typical:1 operations:1 xj:1 serving:1 wigner:2 eigen:1 developed:1 amplifying:3 kong:3 combinations:1 thermal:7 paper:6 through:1 motions:1 affect:1 y1:25 existence:1 y2:19 its:3 before:1 derive:1 group:1 lc:1 decay:1 matrices:13 solving:2 writing:2 destroyed:1 detected:1 systems:3 inspecting:2 sørensen:1 derivative:1 main:2 lies:1 bases:2 non:10 yj:1 crs:1 coding:1 fig:20 break:1 yz:1 effects:3 they:3 thus:1 now:2 yu:2 transparent:1 2t:4 easily:1 february:1 several:3 2r:5 2s:3 fully:1 university:2 identified:1 magnitude:2 mode:11 2b:1 each:14 found:3 entirely:1 lλ:1 decreasing:1 2x1:4 characterized:1 differential:3 2a0:8 disentanglement:5 illuminati:2 series:2 gaussian:14 related:2 applicable:1 frequency:1 computable:1 measure:1 quantum:10 our:8 operation:2 eq:21 witness:12 out:2 maximizes:1 shown:8 matrix:25 space:23 quantify:1 since:4 rev:28 research:1 looking:1 contained:1 gaussians:1 siena:2 denoted:1 formula:2 induced:1 ref:2 occurs:2 red:1 shows:2 linear:3 mciver:1 interactions:1 monotone:1 mechanisms:1 diagonal:8 governing:1 dx2:1 nth:6 completely:2 included:1 york:1 approach:1 xie:1 derivation:1 napoli:2 could:4 times:1 turn:3 signature:3 hence:2 monotones:1 eqs:1 first:3 separable:5 major:1 initial:21 features:2 symmetry:1 vedral:1 possessing:1 powerful:1 number:6 infinite:1 obeying:1 xy:20 relations:2 directly:2 indices:3 given:9 necessarily:2 temperature:1 their:2 introduction:1 top:1 system:10 construct:3 indicate:1 master:10 calculations:3 structures:3 gives:1 amplifiers:1 bowen:1 giedke:2 continuous:2 direct:3 rajagopal:1 mehler:2 larger:1 optical:2 authors:1 x2:36 x1:25 separability:1 coefficients:7 relative:1 kind:1 fuchs:1 double:4 require:1 bachor:1 rate:2 halliwell:1 annihilation:1 states:16 determined:1 amplitude:4 enables:1 solely:1 minus:1 w2:1 aoki:2 addressing:1 generality:1 well:2 unchanged:1 spectrum:1 zyczkowski:1 tmsv:26 sar:2 twomode:1 any:3 δnq:1 δnp:1 depending:1 resultant:1 convenient:2 latter:1 note:4 online:3 schematically:2 destroy:1 heisenberg:1 even:1 begin:1 trace:3 shall:1 r19:1 sets:2 most:4 involving:2 propagate:1 decohered:2 analytically:2 probabilistic:1 surprising:1 considered:5 neighboring:2 average:1 later:1 flow:2 order:3 braunstein:2 ferraro:1 part:3 exp:12 kt:1 effect:1 physics:3 section:3 fact:3 signatures:1 show:2 absorbing:1 timedependent:1 supported:1 takao:2 dy2:1 kruger:1 ξnm:1 2g:1 relation:1 loock:1 schmidt:2 subtle:1 label:1 find:3 d0:9 aρ:1 witnesses:2 specifically:2 based:4 knowledge:1 parameters:8 rendell:1 situations:1 akira:2 than:1 analytic:2 only:10 explicitly:4 subsection:1 factor:4 employed:1 local:2 over:4 equilibrium:2 do:2 exceptional:1 dependent:4 express:1 overall:2 expectation:2 degradation:2 define:1 ϕn:16 reversal:1 dv:1 years:1 subscript:1 differentiating:1 reveal:1 evolution:10 fields:1 transposition:7 arxiv:1 acknowledgments:1 twice:1 investigate:2 li:1 though:1 contain:1 analytical:1 fixed:1 reveals:1 set:2 physically:2 correlations:1 operates:1 detection:5 see:6 individual:3 w3:2 result:1 w1:1 terms:2 symul:1 project:1 still:2 interacting:1 review:1 biswas:1 ralph:1 λn:4 symmetric:7 buchler:1 state:11 various:4 between:1 hold:1 x21:6 x22:5 notice:2 recently:1 nature:1 initially:1 complement:1 weak:1 however:6 equals:1 concentrate:1 ws:12 no:1 key:1 cirac:2 problem:1 ban:1 both:2 semiclass:1 last:1 2n:7 uncertainty:2 equal:4 against:3 hω:1 dated:1 interesting:2 contribution:2 expression:3 photons:2 ck:1 cj:1 csch:1 characterization:2 color:3 corresponds:2 environments:1 exploit:1 grants:1 simply:1 spans:1 constant:2 throughout:1 peng:1 pq:1 second:3 basis:7 addition:2 mizuno:1 locally:1 due:2 been:5 serafini:2 describes:1 damping:5 indicators:1 ph:1 meeting:1 differently:1 obtained:4 arises:1 corresponding:9 sufficient:1 formed:1 photon:5 covariance:4 olivares:1 observe:4 understand:1 denote:3 present:2 case:10 intriguing:1 novel:1 bρ:1 pacs:1 appearance:1 value:4 will:2 while:1 b02:1 neat:1 behavior:1 applies:3 squeezed:4 property:3 opt:2 unitary:1 vogel:1 coupled:4 vj:2 submatrix:1 xiao:2 according:3 ii:1 characterize:1 reads:2 duan:1 baths:8 zhang:3 conserve:1 agarwal:1 hong:3 make:1 same:5 orders:1 shorter:1 another:1 quant:1 emphasize:1 schematic:1 hyllus:1 finite:6 pan:2 symplectic:1 independent:4 used:2 nobuyuki:1 upon:1 monotonic:1 flows:1 l173:1 v1:6 v2:6 purpose:1 entanglement:45 robust:5 normalization:1 recent:1 eigenvectors:26 lower:1 modes:5 scenario:1 zerotemperature:1 restricted:1 min:2 epr:1 analysis:4 evolves:3 without:1 solve:3 studying:1 position:8 arising:1 dimension:5 left:1 λs:1 interpret:1 ρbb:1 less:1 moments:3 generally:1 observed:1 sanpera:2 obtain:1 detail:1 seen:3 subblock:1 tilde:1 λk:4 yet:1 λm:1 previous:2 zoller:1 density:10 absorption:1 δpm:1 point:1 except:2 discuss:1 source:1 belongs:1 lett:11 transformation:3 momentum:1 real:8 stein:1 eigenvalue:8 showing:2 possible:1 finding:1 increases:1 vidal:1 entangled:2 vacuum:2 press:1 using:2 mod:1 loss:6 necessary:1 follows:3 interestingly:1 maintained:1 serves:1 manifest:1 specific:1 werner:2 always:1 become:1 4a20:1 reduced:2 therein:1 uhne:1 because:2 classical:1 treps:1 some:8 b4:1 b5:1 b6:1 b7:1 b0:12 examples:1 abbreviation:1 b3:1 b8:1 dense:1 phoenix:1 illustrated:3 bottom:1 affects:1 investigations:1 critical:7 decomposition:1 provides:2 assuming:1 y21:2 y22:5 cnm:1 welsch:1 demonstrated:1 2a:18 noise:3 obey:1 bb:1 arbitrary:3 broken:1 although:2 substitution:1 properties:8 noisy:2 integers:1 about:2 polzik:1 a1:2 carried:1 macchiavello:2 discussed:2 dependence:4 o:3 2y1:4 a2:2 furusawa:4 chou:1 mixed:1 connected:1 2x2:2 projectors:1 block:16 cambridge:1 significant:1 presence:1 previously:1 communication:1 into:5 within:1 integral:1 bruss:1 bath:6 down:1 variable:2 right:1 references:1 determine:3 ppt:4 operator:3 next:1 theoretically:1 jing:1 van:2 log:1 there:2 u1:6 transform:4 long:3 u2:8 accordingly:1 much:1 mandel:1 way:2 astrophysics:1 analyze:1 was:3 function:5 form:5 a9:1 denoting:1 but:2 construction:2 hn:5 gain:5 hm:3 odkiewicz:1 line:2 true:1 made:1 applying:1 builds:1 horodecki:6 characteristic:7 robustness:1 up:1 us:5 lead:1 below:1 limit:1 uj:2 distribution:2 pm:1 agree:1 eigenvector:5 b1:1 aa:1 takei:1 ab:1 associated:3 b2:3 defined:8 certain:1 influence:2 general:7 peres:2 quantification:1 kimble:2 a7:1 work:1 simplest:1 sasaki:1 constructed:3 functions:1 nm:4 nn:1 variety:2 fixing:2 ekert:1 ρsep:2 when:8 vanishes:1 other:3 yonezawa:2 special:1 plenio:1 department:1 nq:1 coherence:1 ns:8 conclusion:1 gaining:1 elements:10 ative:1 calculating:1 separate:2 subspace:2 hirota:1 polynomials:2 deriving:1 a0:6 a3:1 important:3 a5:2 a4:1 ξn:7 a6:1 dissipation:2 a8:1 poon:1 structure:9 goh:1 simon:1 implies:2 coupling:3 requires:1 factors:2 governed:1 portion:2 lying:1 time:46 observables:1 decoherence:7 expands:1 having:3 |
0704.1966.txt |@word consider:2 pointing:1 similarity:1 induces:2 bull:1 desirable:1 results:6 existing:2 leads:4 mild:1 disc:4 ga:4 polydisc:4 gl:1 compact:3 whose:1 depend:1 referring:1 equivalence:3 tr:4 young:6 characterisation:2 summarised:1 present:2 under:4 aut:1 saying:1 very:1 focus:2 corollary:1 matrices:15 condition:13 obvious:1 swapping:1 presented:3 distm:3 solution:2 convenience:2 proposition:1 generalises:1 small:2 eigenvalues:2 anal:2 shows:1 gruyter:2 zn:2 mn:4 zj:1 estimates:2 literature:1 zero:2 perspective:1 gn:25 rigorous:1 further:1 linear:1 even:2 established:1 what:2 appear:2 complexities:2 section:9 bc:1 reminiscent:1 indian:1 above:14 sup:11 new:5 appeal:1 preserved:1 contrast:2 satisfy:2 κn:2 full:1 degree:2 here:5 objects:2 leeds:1 illustration:1 address:1 algebroid:1 studia:1 standard:1 equations:2 z1:12 z2:10 obtained:1 remark:1 commutant:2 technical:1 study:1 foias:4 wherever:1 contradiction:1 pick:10 domains:1 involves:1 via:1 useful:1 classification:1 explained:1 f2:1 nikolov:1 maths:1 wit:1 1st:1 circumvent:1 unit:15 use:1 takes:1 would:5 prove:3 distinct:4 beginning:1 stated:1 theme:1 gautam:7 few:1 m1:2 therefore:3 centre:1 type:3 metric:3 more:3 definition:7 clearly:1 bercovici:5 ital:1 eodory:6 berlin:1 particular:1 known:6 cases:1 hold:1 iii:1 must:2 md:15 ma:1 recall:3 work:1 mj:2 paragraph:2 values:1 following:15 trans:2 example:5 proof:11 control:1 compare:1 links:1 give:1 calculation:2 cited:1 share:1 purposes:1 want:1 sense:1 sharp:3 information:5 end:1 provide:3 s2:2 s1:9 holds:2 whence:3 write:3 maps:3 varies:2 vital:1 answer:1 obius:1 map:6 product:4 de:2 blocks:1 mat:1 algebra:1 may:2 max:13 ζj:8 ζk:1 ζm:6 violates:1 hence:4 abuse:1 fd:2 ω2m:2 date:1 choice:3 data:15 fn:2 effective:1 whenever:2 element:1 sj:9 algorithms:3 sn:16 definitions:1 order:7 s0:21 pseudodistance:3 developed:1 over:2 satisfied:2 course:2 paper:5 through:3 thesis:2 ogle:2 existence:6 satisfies:1 deducing:1 roots:1 before:1 group:1 how:1 chosen:1 characterisations:1 harmless:1 parts:2 choose:1 mail:1 main:1 arguments:1 correspondence:1 non:17 obtaining:1 they:1 formulating:1 now:11 definedness:1 developments:1 establishes:1 eigenvalue:3 equality:5 always:1 establishing:2 inequality:8 follow:1 reasonable:1 each:11 2m:7 interpolation:20 side:5 referred:3 domain:3 ei:1 series:1 hard:1 reduce:1 idea:4 elementary:1 used:4 combining:2 funct:1 our:11 subharmonicity:1 globevnik:3 out:1 shown:1 realising:1 unital:1 restricted:1 furthermore:3 since:10 crucial:1 viability:1 denotes:2 misses:1 geom:1 rational:3 reader:3 blaschke:4 correct:1 math:9 dsa:1 earlier:2 theory:7 diagonal:2 mapping:1 approaches:1 ask:1 estimate:1 hand:5 remainder:1 universally:1 incorporates:1 pairs:1 language:1 geometry:4 phrases:1 could:1 david:1 agler:6 first:5 variables:1 primary:1 hitherto:1 adopted:1 tannenbaum:4 precisely:2 open:1 illustrate:1 given:16 zs1:2 hyperbolic:1 introduction:1 πn:5 least:1 indicate:1 assumption:2 observations:1 statement:3 white:3 structures:1 discussion:2 holomorphic:9 progr:1 centered:1 amsterdam:1 part:4 jordan:4 somewhat:1 than:2 distance:4 roles:1 computes:1 were:1 w2:42 false:1 boston:2 mind:1 argument:4 say:1 manner:1 need:3 sap:1 any:14 viewed:1 symmetrized:5 lie:2 mappings:1 latter:4 able:1 ideas:2 converges:1 note:9 nicholas:1 finding:1 so:1 paraphrase:1 modulus:2 reconciled:1 spectral:24 begin:4 though:1 systems:1 jsj:2 metrics:2 most:1 said:1 automorphism:1 phase:1 class:1 opted:1 χw:1 observation:10 stronger:1 inferred:1 dimension:2 points:6 principle:1 subharmonic:2 fact:4 science:1 incorporate:1 thomas:1 pd:12 phenomenon:1 show:2 ugc:1 supported:1 notations:2 trivial:1 find:3 resemblance:1 knowledge:1 title:1 implementation:1 written:1 lemma:15 only:4 essence:1 circle:1 meant:1 goes:1 notation:3 get:8 occuring:1 dg:15 fractional:1 generalise:1 congruent:1 cannot:2 words:1 secondary:1 reveal:1 increasing:1 sharpness:1 arxiv:3 yield:1 iisc:1 multiplicity:7 analytical:1 london:2 fixed:1 view:3 reveals:1 set:11 exists:6 sep:1 testing:1 trick:1 see:4 radius:6 result:17 w1:47 arg:1 discussions:1 inequivalent:1 λi:1 best:1 subject:1 satisfying:1 αz:2 consequence:1 its:4 state:1 un:1 various:1 pures:1 between:5 invariant:2 geometric:1 conditions:4 notice:1 matricial:4 opening:1 wm:9 wk:1 wj:11 however:3 implementing:1 key:4 article:1 amer:2 both:1 last:2 limits:1 tractable:1 region:4 according:1 sensitive:1 admit:3 pflug:2 fix:4 comes:1 banach:1 generalisation:2 co:1 cn:14 point:5 reasons:1 dimensional:1 cz:1 exploit:1 simply:1 polynomial:12 cv:2 ad:1 described:1 second:2 simplification:1 lempert:4 been:2 treat:1 interest:1 expected:1 pn:9 empty:2 define:17 surjective:1 relations:1 assorted:1 birkhuser:1 sufficient:6 search:4 observe:1 stems:1 lifting:2 c2:1 extant:1 denote:8 those:2 case:1 subsets:1 tanh:4 single:1 choices:1 will:9 institute:1 while:2 specialises:1 taking:2 studied:1 von:1 thus:3 discrepancy:2 iv:1 zwonek:1 ernet:1 different:1 grant:1 perform:1 make:1 connection:1 same:4 poincar:1 complex:8 emphasize:1 φj:1 several:3 couple:1 higher:1 independent:1 ball:12 http:1 numerical:1 upon:1 companion:3 moment:1 identity:1 recent:1 relies:1 prescribed:2 off:1 well:4 analysis:1 without:1 position:2 drawing:1 λs:1 distances:1 just:1 being:3 solvability:1 λa:2 facts:1 regardless:1 alternative:1 scattering:1 previous:1 nevanlinna:6 preprint:1 nilpotent:6 conclude:2 seems:1 simple:2 setting:1 board:1 easy:1 theorem:27 transformation:2 tests:1 aspects:1 rev:1 easily:2 read:1 devised:1 showing:1 ζin:1 possible:1 pertinent:1 variants:1 ransford:4 necessary:5 like:3 follows:9 signal:1 automorphisms:3 steps:1 schwarz:8 arbitrary:2 works:2 reduced:1 www:1 because:4 neumann:1 classical:1 some:2 back:4 self:2 deduce:1 examples:1 choosing:1 proofs:1 cω:2 λj:6 shall:3 roumaine:1 does:2 provides:3 assuming:1 minimal:9 either:2 bd:1 bg:9 power:1 slight:2 uniformly:1 equivalent:4 processing:1 boll:1 expansion:1 notably:1 carath:6 bangalore:1 properties:1 stage:1 chapter:1 comparison:1 about:5 central:1 algebraic:1 eqns:1 discussed:1 o:26 range:1 involving:1 introduced:1 block:2 software:1 soc:4 computational:1 pays:1 into:1 integral:2 functional:3 interpolant:13 appropriate:2 right:5 references:1 refer:3 determine:1 operator:4 factor:1 next:9 methods:1 rely:2 support:1 there:10 question:2 specifically:1 appl:2 multifunctions:1 way:2 crucially:1 was:4 function:13 elsewhere:1 form:2 excerpt:1 bidisc:1 regard:1 but:5 repeated:1 construction:3 goals:1 removed:1 true:1 supz:1 made:1 applying:5 whether:2 characteristic:4 2πj:1 maximum:3 us:9 below:2 owing:2 uk:1 ωn:57 highlight:1 problem:14 walter:1 similar:2 b1:1 ac:2 associated:1 b2:1 defined:11 certain:3 abstract:1 dga:1 general:2 examine:3 paraphrased:1 inf:1 az:1 constructed:1 again:1 nj:3 analyticity:1 no:6 whereas:2 when:8 application:1 valid:1 details:1 papers:2 department:1 mathematics:3 offered:1 expositions:1 elements:1 problems:1 polynomials:4 structure:4 matrix:13 implies:3 assume:1 required:1 presenting:1 once:1 |
0704.1967.txt |@word secondly:1 consider:2 pointing:1 priori:1 rev:4 desirable:1 results:2 leads:1 scalar:14 generalize:1 computation:1 expressions:9 contributions:2 issues:3 compact:1 ıp:3 nrqm:16 inverse:9 depend:2 calculate:12 indices:1 irrelevant:2 concerned:1 equivalence:1 tr:4 passage:1 rightmost:1 behave:1 outwards:2 th:3 under:1 ık:4 include:2 worth:1 divergent:3 mpf:17 case:23 belonging:2 advantage:5 laws:1 very:4 tends:1 springer:1 wave:2 electron:2 p1:34 whether:1 application:1 affect:2 associated:3 difference:7 bringing:1 condition:1 four:14 retaining:1 level:1 bn:3 turns:5 solution:5 integrated:10 large:13 discrete:5 spaces:1 demonstrated:1 small:4 eigenvalues:1 enforce:2 proof:1 trv:2 physically:1 embodying:1 occurrence:1 miller:1 consistent:3 sign:3 approximation:11 zero:2 orthogonal:1 rigorous:1 further:4 l2z:1 remarkably:1 canonical:5 even:4 aim:2 what:4 stands:3 advantageous:1 sum:10 probably:1 expressed:1 find:5 cell:1 annals:1 stepwise:1 above:6 capital:1 new:2 occupation:8 acknowledgments:1 arguments:2 body:3 full:9 chose:1 whose:3 respectively:2 component:2 equals:1 reads:6 possibility:1 groups:1 address:1 unexpanded:1 standard:1 equations:3 appears:2 obtained:13 generalizing:2 involved:2 introductory:1 vectors:1 allows:3 approaches:1 periodic:1 products:1 ξ2n:1 stressed:2 usually:2 noticeably:1 fourier:5 studies:1 cancellation:1 involves:2 pairings:4 shorthand:1 followed:1 projection:1 becattini:4 ix:4 ipn:3 integrations:5 modifying:1 translational:1 summation:1 apply:1 total:2 once:1 use:6 reflected:1 projector:22 would:8 prove:1 distinct:2 positive:1 contains:1 finally:2 classically:1 nucl:3 therefore:9 expanding:1 taken:4 generators:1 means:5 type:1 theoretical:1 more:9 separated:1 introducing:1 multiplying:1 clearly:1 becomes:4 operators:27 getting:1 odinger:3 refrain:1 ip2:15 appendix:4 normalized:4 known:9 cases:2 easiest:1 must:9 involve:1 account:3 chaichian:1 quantized:1 integrating:2 equation:9 work:10 det:1 modified:1 reproduce:1 πnx:1 fock:5 values:5 cal:1 following:4 fulfill:1 modifies:1 averages:6 example:2 stimulating:1 performed:3 ensue:1 compare:1 2εn:2 want:3 estate:1 give:2 calculation:18 relativistic:27 boseeinstein:1 permutations:1 organized:1 purposes:3 weinberg:1 states:36 lorentz:2 numbers:15 unveiled:1 arise:4 sought:1 times:6 conversely:1 species:13 working:2 needs:1 counting:1 end:2 notation:1 turn:1 provide:1 s2:1 discussion:2 holds:9 differences:2 feature:1 recovers:2 write:4 how:2 stemming:2 pure:1 answer:1 instead:5 ordinary:1 ensemble:18 either:2 map:1 product:5 de:1 tried:1 fv:11 algebra:3 replacing:4 thermodynamic:15 derived:5 mapping:2 applications:2 plane:2 waves:1 cambridge:1 representations:1 summarize:1 meaningful:3 stress:1 natural:2 third:2 generalizations:1 quoted:1 linear:4 explicit:2 summing:3 rather:1 maintain:1 so:12 sect:8 fundamental:1 correlation:4 θv:4 representation:4 looking:1 order:5 iεk:1 aforementioned:1 indeed:7 over:23 altogether:1 soon:1 writing:3 equality:1 whilst:1 thermal:1 paper:2 through:1 looks:1 statistical:10 left:3 differs:1 still:7 its:5 envisage:1 zozulya:1 supplemented:1 derive:3 group:6 surviving:1 fit:1 thence:4 energies:3 masses:1 relativity:1 complex:4 boson:3 li:2 better:1 resort:1 absence:2 production:1 degrees:13 choose:2 h3:1 main:2 might:1 thereafter:1 lx:1 split:1 maximal:5 non:16 good:1 thereby:1 gets:2 taking:3 introduce:1 landau:2 framework:10 walls:4 effects:4 they:6 bogoliubov:4 now:14 discuss:3 fields:6 easily:11 term:11 finite:31 dirac:4 iwazaki:1 always:1 university:1 hamiltonian:10 orthonormal:1 i2n:1 iff:1 ratio:1 irreducible:2 2m:7 universit:1 side:10 heavy:1 domain:3 disregarding:1 ei:2 directly:1 weight:6 expectedly:1 energy:15 reduce:2 gaussian:5 related:2 bijective:1 antiparticle:4 used:2 static:1 obtains:2 begun:2 measure:2 quantum:42 wavelength:3 naming:1 summary:1 eq:41 special:2 out:33 leave:1 shown:3 accomplish:1 exponential:1 solved:2 restricted:1 multiparticle:4 since:5 crucial:1 cancels:1 denotes:2 particles:32 collisions:2 acting:3 vector:2 finitevolume:1 formula:6 postpone:1 ref:9 correct:3 shows:2 commutation:5 numerical:1 theory:6 localization:2 snj:3 enforcing:3 differ:1 free:16 limε:1 difficulty:3 reason:1 complicated:1 york:2 besides:3 checked:2 anyhow:1 beginning:2 defining:2 definition:22 pairs:4 perform:1 derivation:2 constraining:1 recast:1 could:2 moment:1 keep:1 thing:1 massive:1 corrections:3 stone:1 onto:6 unmodified:1 idempotency:1 first:17 major:1 xi:2 xn:20 features:1 symmetry:1 xm:1 variables:12 number:11 rank:1 peculiarity:1 clear:3 obey:1 smaller:1 done:5 construct:1 another:1 carry:2 impossible:1 precisely:1 angular:2 size:2 given:5 antiparticles:10 publication:2 dependent:1 similarly:3 introduction:2 leading:1 eqs:8 system:10 relations:8 their:4 quadratic:2 identity:4 calculations:2 scheme:1 really:1 unambiguously:1 speaking:1 cope:1 tool:1 continuous:3 twopoint:1 yield:1 var:1 pnj:4 favorable:1 manifestation:1 x2:64 tacitly:1 translation:1 x1:113 than:3 coefficients:3 past:1 kind:1 determines:1 unfortunately:1 cim:1 see:9 limiting:2 annihilation:14 lim:4 express:1 validity:1 recovered:1 hauer:1 other:2 distinguished:1 pointed:4 rewrite:1 electrodynamics:1 localized:22 mind:1 argument:4 generalization:3 yielding:3 l2y:1 l2x:1 need:5 seen:1 seem:1 confirms:1 any:11 generalizes:1 built:1 depending:6 check:1 studying:1 εp:12 note:2 instance:3 ideal:11 potential:7 generalized:3 εk:12 extrapolating:1 coincide:2 modulus:1 channel:7 sn:18 2εk:2 exactly:1 multiple:4 allow:1 trace:5 index:3 satisfy:1 plugging:3 most:6 involving:4 rigor:1 significant:1 formulae:4 phase:2 ensuing:1 analytically:1 inserted:1 lusanna:1 appear:1 black:1 found:2 subtracted:3 prolongation:1 considered:2 average:2 partition:23 repeated:2 properly:1 kv:64 exp:22 mechanical:2 velocity:1 charged:12 physics:1 section:3 fact:8 quantity:1 precise:1 called:2 phenomenon:1 show:2 labels:3 implying:3 solving:1 multiplicities:10 relation:1 solutions:1 scarce:1 trivial:4 d3:129 ferroni:3 subtracting:2 εn:2 henceforth:1 trying:1 based:1 ensembles:3 commutators:1 state:29 negligible:1 should:17 being:10 only:21 formulation:2 subsection:2 factor:18 integrate:2 oct:1 achieve:1 nj:24 continuity:1 do:9 touschek:1 sense:1 invoke:1 di:2 spurious:5 familiar:1 between:7 overall:3 expectation:7 firenze:2 truly:1 αi:1 cannot:4 conjugate:2 words:2 dy:1 dp:1 runs:1 sects:2 course:1 nicely:1 conditions:2 karsch:1 arxiv:2 factorization:2 calling:1 bag:2 investigate:1 though:1 mapped:1 analytical:1 fixed:8 view:2 hagedorn:1 kernel:10 requirement:2 set:24 resummed:1 achieved:2 imposing:1 frame:1 correlations:3 argued:2 namely:5 result:17 discussions:1 terms:23 forthcoming:2 expects:1 subject:3 preparation:1 suffer:1 tensor:1 tackling:1 ways:1 nuclear:1 away:2 complementary:2 definite:5 consequence:1 yet:1 symmetric:3 triplets:1 outside:7 difficulties:3 eur:1 lifshitz:1 simplest:1 conceptual:1 invariant:1 boundary:2 approach:7 αn:1 comparable:2 restricting:1 recently:1 positron:1 missing:2 attention:1 points:1 however:6 implementing:1 vanishing:10 enters:1 key:1 bose:2 remaining:1 received:1 essentially:2 x2n:1 prescription:4 2n:3 brown:1 avoid:1 many:5 region:28 compton:3 hence:8 quantization:4 chosen:4 present:1 0e:1 expand:1 beyond:1 argue:1 expression:26 scope:1 comes:1 otherwise:4 among:1 relevant:3 afterwards:1 point:7 simple:3 each:3 enforced:1 dimensional:1 written:6 simply:3 cancel:2 respect:6 throughout:1 considers:1 considering:2 forms:1 pv:121 remarkable:2 second:3 basis:8 addition:1 due:1 been:14 implicit:1 ai:1 much:2 pf:2 interest:1 likewise:2 expected:5 pi:10 pn:29 ak:6 define:1 box:3 corresponding:3 relaxing:1 both:4 quantities:2 concerning:1 gas:25 hayashi:1 observe:1 understand:1 external:7 wavevectors:1 stems:1 last:4 worked:3 denote:2 spin:2 former:1 those:4 p2:46 k2:2 multi:15 encompassed:1 look:1 unlike:4 pacs:1 lz:1 expanded:1 appearance:1 conserved:2 value:8 rectangular:3 will:26 while:4 replaced:1 ought:1 shall:1 applies:4 cancelled:1 pˆ:6 property:2 inspired:1 gazdzicki:2 subsect:1 identical:8 strominger:1 coupled:1 phenomenological:1 ip:15 drawbacks:1 thus:8 them:5 according:9 couples:1 n2z:1 n2y:1 n2x:1 confining:3 conf:1 parity:1 rid:1 vanish:1 disappear:1 different:11 combination:2 generic:2 commuting:3 preparatory:1 lett:1 same:22 poincar:6 beside:1 strange:1 emphasize:1 discussed:3 grand:3 proved:2 several:2 start:3 independent:2 literature:3 trivially:1 ni:1 i0:4 permutation:5 effect:3 hand:10 ion:1 v2:2 levels:1 implicitely:1 infinite:7 manifestly:2 invariance:2 normalization:6 destruction:1 eigenvectors:2 task:4 schr:3 modes:6 immaterial:3 nevertheless:1 whole:8 idempotent:1 well:8 analysis:1 approached:1 without:3 solve:1 components:3 convenient:1 position:4 model:2 arising:2 usual:2 ny:1 just:5 less:1 moments:1 when:6 obtain:2 rest:1 detail:1 press:1 underlying:1 using:20 localize:1 momenta:6 eigenstates:5 previous:7 letting:1 unique:1 density:2 nonrelativistic:1 had:1 except:2 realize:1 thermodynamics:1 setting:2 conjugated:1 treatment:3 easy:1 channels:4 iπ:1 eigenstate:1 momentum:14 take:1 real:8 book:1 spinless:10 insensitive:1 references:1 eigenvalue:1 rules:2 couple:1 sums:1 possible:9 possibly:1 increases:1 five:1 know:1 vacuum:9 confined:8 imposed:1 replace:5 heaviside:1 factorize:1 necessary:1 like:17 particle:38 follows:2 reduces:2 microcanonical:46 yields:5 δk:1 sezione:1 arbitrary:4 become:4 works:1 suitable:2 mathematical:1 pertaining:1 because:16 classical:3 tells:2 creation:15 some:5 back:1 calculated:2 pρ:14 b1:3 choosing:1 moreover:2 proper:5 unless:1 extended:6 provided:2 vol:1 obtaining:2 ones:1 unavoidable:1 integration:13 per:1 get:6 contributing:1 does:6 eliminate:2 expressing:2 unavoidably:1 survive:1 restoring:1 refer:1 inserting:1 integrals:7 dropped:2 infinitely:1 equivalent:2 wavefunctions:6 chain:1 expansion:7 broken:1 step:1 ratios:1 explicitely:2 described:1 chodos:1 hilbert:10 hadron:1 asymptotic:3 integers:4 about:1 kinematical:6 actual:4 carried:1 constraint:1 freedom:13 completing:1 energymomentum:1 dependence:2 o:1 practical:1 ensure:1 continous:1 introduced:3 consequently:3 projectors:1 restrict:1 contractions:1 final:4 presence:1 unbounded:4 into:10 within:4 integral:12 functional:16 three:5 down:2 pair:3 appropriate:2 right:6 accounts:1 inverting:1 einstein:2 operator:9 conceptually:1 2εp:1 casimir:1 statistics:1 deal:1 vˆ:2 comparing:1 eı:3 strictly:2 there:3 question:1 live:1 specifically:1 strict:2 conservation:5 bosons:8 low:1 way:4 labelling:3 letter:2 was:5 purposely:1 mixing:1 function:39 complete:9 form:8 enough:1 m2:4 hv:29 but:6 volume:35 neutral:14 construction:1 repeatedly:1 eip:17 implies:4 ρj:3 true:3 extend:1 infn:1 made:1 surprising:1 fulfilling:1 multiplicity:5 cells:2 up:1 differentiable:1 paired:3 owing:2 limit:25 uk:5 ωn:6 fluctuations:1 problem:16 similar:1 ki:1 correspond:1 expect:1 fulfills:2 adopt:1 constant:3 defined:10 inadequate:1 abstract:1 moved:2 general:21 ap:6 single:13 exist:1 gorenstein:2 our:8 grateful:1 accounting:1 formalism:2 distributions:2 internal:4 physical:1 ser:1 again:3 functions:6 nk:1 completeness:1 us:4 no:2 fixing:2 wavefunction:2 generally:1 vanishes:2 envisaged:1 field:70 definitions:1 valid:4 make:2 brings:1 additional:1 nr:1 confine:1 principle:1 conclude:1 may:2 superposition:1 calculating:3 subspace:2 symbol:4 subtraction:1 emission:1 a1:7 ξi:1 meaning:5 important:3 log:1 ξn:1 n1:2 tackle:1 fermi:2 handled:1 sides:2 algebraic:1 regime:1 longer:2 dψ:14 starting:3 space:22 rule:1 having:1 depth:1 ip1:18 weights:2 volumes:7 time:4 recognize:1 observables:5 n2:1 n3:1 resolution:3 original:1 labelled:1 |
0704.1968.txt |@word limited:2 magnetic:2 four:2 fortiori:2 consider:2 whose:1 feeding:7 blakeslee:1 paris:1 marcaide:2 s55:1 under:5 rise:1 connects:1 every:1 affect:1 bringing:1 school:1 receiving:1 supports:2 solution:1 hickson:2 vector:4 burke:3 enhance:1 straight:1 miller:2 consistent:4 estimates:4 direct:1 approximation:1 surrounding:2 likely:5 birkinshaw:1 even:14 faye:3 above:11 new:11 increasing:2 evolving:1 worrall:2 mem:1 seventh:1 mei:1 residual:1 here:11 richstone:2 dorband:3 fairly:1 active:6 chini:3 interpret:1 obtained:2 study:2 changed:2 approaches:1 permit:1 krishnan:1 changes:1 gorgas:1 precessions:5 projection:1 highly:1 visible:4 wyse:1 total:18 univ:2 unit:2 would:12 arms:2 m5:1 m6:1 m1:5 therefore:24 violently:1 survive:1 zlochower:4 until:4 fractions:2 starburst:2 hole:52 aligned:5 must:2 springer:2 ma:5 mb:5 work:6 mi:2 mq:8 exceptions:1 example:5 indicated:1 give:2 relativistic:7 involve:2 want:1 magnitudes:3 keep:1 end:9 szeged:6 provide:1 auger:1 travel:1 feature:2 revisit:1 how:4 hot:3 keel:1 answer:2 merritt:18 undergoing:1 after:7 summarize:2 law:3 meaningful:1 types:1 third:6 keeps:2 sackett:1 order:50 wind:5 office:1 over:9 london:4 thesis:2 spheroidal:2 japan:1 integrands:1 before:10 highlights:1 sparke:1 inal:2 production:1 fig:2 weeks:1 confidently:1 maximal:7 them:4 combination:1 l151:1 break:4 effects:9 they:8 bank:2 represents:3 netherlands:1 alez:4 valtonen:2 bonn:7 lauer:3 each:20 side:3 mean:1 preceded:2 successively:1 independent:1 series:1 used:2 rezzolla:7 wiita:9 driving:1 rs:2 particles:7 rg:1 ebisuzaki:1 newly:2 ri:2 little:1 formation:2 estimate:8 publ:1 starts:1 cosmic:6 days:1 disturbed:1 iso:11 speeds:1 already:7 primary:5 clear:2 spinning:1 quadrupole:1 thick:1 2008c:1 2008b:1 2008a:2 eqs:4 approximately:4 confirming:1 perturbations:1 observations:11 dwell:1 ranging:1 binney:3 peculiar:1 begins:2 distance:9 wilkinson:1 princeton:1 reisswig:4 approximations:2 zero:2 preparation:7 matter:5 kleyna:1 contrasted:1 powers:2 modern:1 spectrum:6 seed:1 emphasizing:1 seen:3 seem:2 seminar:1 relatively:3 strength:1 schnetter:3 latter:4 responsible:1 isolated:1 oriented:2 asymmetric:1 2006a:2 2006b:2 infalling:1 object:1 involving:1 germany:3 phase:19 acknowledgements:1 episode:1 observation:2 calculated:2 flow:2 bracket:1 principle:1 sum:2 random:1 infrared:2 radii:4 radio:44 hungary:2 tremaine:4 proposed:1 explain:1 folded:1 integrate:1 adequate:1 do:8 dm:5 de:3 preferred:1 redshift:1 agns:3 l40:1 despite:3 runs:1 fields:1 greene:1 racine:3 analytical:5 blanchet:3 mergers:38 distortions:1 mandatory:1 reference:1 clarified:1 zamorano:1 sensitivity:1 detection:1 depends:5 radius:21 result:7 discussions:2 backreaction:1 techniques:1 exponent:2 lots:1 away:7 µr:1 symmetric:3 antonucci:2 approach:8 discovery:1 terms:8 extend:1 nature:3 modify:2 weak:5 however:17 essentially:1 conclusions:1 asymmetry:1 merging:7 circumbinary:2 exceeds:1 uni:1 contribution:4 argue:1 gps:1 presumably:2 timescale:10 royal:2 represented:3 conference:2 basis:1 three:13 been:9 much:9 basic:1 untypical:3 quantities:1 concerning:2 pringle:2 maximally:2 spin:120 applied:2 aip:1 near:3 φbh:5 overtaking:1 iu:1 ii:6 need:1 kampert:1 cone:4 parsecs:1 confirmed:2 suggest:9 speculating:1 dimensionless:2 several:1 evolve:1 mih:1 numerical:9 coevolution:1 hand:4 concluding:2 cycle:3 scenario:1 mathews:2 alabama:2 left:3 stringent:1 just:6 quasar:1 identify:5 spherically:1 somerville:1 modulate:3 previous:6 adding:2 candidate:1 had:1 5r:2 eckart:2 campanelli:4 transformed:1 anyi:1 occurring:1 possible:7 l89:1 possibly:2 mushotzky:2 birth:1 advanced:1 apart:2 specific:3 2007b:5 arbitrary:1 evolutions:1 right:3 old:5 deal:1 salim:1 cnu:1 contributing:1 core:2 strittmatter:2 2007a:14 hss:1 post:12 takes:2 months:2 o:14 gallego:1 slightly:7 s63:1 considerations:3 soc:15 mbh:1 publishing:1 polatidis:1 bound:3 fern:1 down:10 pair:5 methods:2 support:2 initial:16 approximate:3 conservation:1 fraction:2 astrophysics:3 call:1 was:14 gaseous:1 form:4 becoming:1 m2:8 removes:1 magnitude:20 solar:1 true:2 maximum:1 dordrecht:2 anew:1 stages:4 adopt:3 ln:7 abstract:1 proven:1 evidence:4 conserved:5 exist:1 simulations:1 perez:2 physical:4 helge:1 otka:1 no:10 nkth:1 whereas:1 when:15 ekers:4 role:3 papers:1 dipolar:1 shrink:1 picture:6 gergely:20 models:1 dissipation:3 faster:4 pion:2 assume:2 interval:2 together:1 spheroidals:1 χi:3 time:13 nuclei:3 kov:2 concept:2 particular:2 focus:1 leads:1 roy:10 l12:2 grateful:1 arcsec:1 inverse:3 depend:3 shrinkage:1 editors:1 environment:7 finally:7 monotonically:1 gopal:21 circumstances:1 giga:1 adiabatic:1 advantage:1 emphasizes:1 choice:1 stays:5 emphasized:1 exact:1 cool:2 clouds:2 presented:5 turns:1 erratum:1 leave:1 round:1 upper:2 l90:1 findings:1 semianalytical:1 measurable:2 targets:1 hinderer:2 postnewtonian:1 adds:2 appear:3 axes:3 current:2 meli:1 goes:3 international:2 falling:1 dwarf:2 perpendicular:4 address:1 alone:1 accretion:12 dissipated:2 appears:3 change:16 benson:3 institute:1 shift:1 vectors:4 commonly:1 poisson:2 rarely:2 planck:1 undergone:3 hornstein:1 perj:3 milosavljevi:3 suppl:3 sharpen:1 theoretical:3 toomre:6 introducing:1 greenhill:1 apparent:2 validity:4 cases:9 effort:1 clumps:1 logarithm:1 makino:3 zhao:1 vega:1 values:11 groß:1 following:12 gravitationally:1 claim:1 figure:4 predict:1 attribute:1 allowed:1 spanning:1 counting:1 yet:4 occur:7 verlag:1 rays:5 tilt:7 discussion:7 1995b:2 bmin:1 fourth:2 allowable:1 parameter:23 dominance:1 astropart:1 product:3 may:17 max:1 fed:2 needs:1 membership:1 produce:4 drastic:1 data:3 eighth:1 owsianik:1 outline:1 whenever:6 maybe:1 yielding:1 thorne:4 cosmology:1 si:5 so:33 sc:2 definitions:1 talk:1 typical:22 wavelengths:1 subsections:2 indeed:4 flips:1 years:10 course:1 statistical:2 argued:3 still:6 observational:4 derive:1 acknowledge:1 interesting:2 decreases:4 gen:1 mail:2 main:2 happened:1 matches:1 processes:4 introduce:1 scaling:1 strom:1 half:1 now:2 discuss:4 nor:1 ulb:1 term:7 possibilities:1 cusps:1 stalling:1 square:1 significantly:2 ed:5 catching:1 year:1 eu:1 galactic:13 happen:5 eq:8 tisza:1 er:1 gonzalez:4 living:1 shown:10 space:2 parallelogram:1 increase:4 collisions:2 seriously:1 spurzem:1 suggesting:1 formula:2 dominate:2 correct:4 shows:5 inevitably:1 earlier:4 theory:2 million:1 mechanisms:4 possibility:1 quite:4 complicated:1 gott:2 bouwens:2 transition:13 motion:11 turn:2 βf:1 massive:17 neglect:1 frequent:1 first:14 origin:2 sanchez:1 shapiro:3 afer:5 bores:1 malfa:1 stsci:1 xx:1 specifically:1 comprises:1 ring:9 open:1 angular:67 cris:1 interchange:1 given:9 cooling:1 constants:1 iau:1 structures:3 speaking:1 gives:8 inefficient:1 mostly:3 schwarzschild:4 continuous:1 x2:1 peck:1 than:28 population:1 stanev:3 transferred:1 future:1 were:4 quataert:1 correction:1 turned:1 argument:1 tuscaloosa:1 say:1 rees:1 distorted:1 turner:2 any:8 efficient:2 connell:6 note:7 sciences:1 emphasis:1 potential:1 take:2 online:1 begin:5 track:1 decreasing:6 neutrinos:5 falls:1 formulae:1 remarks:3 analytically:1 latex:1 especially:1 hayasaki:6 considered:6 average:3 later:4 sussman:1 typically:7 precise:1 show:7 friction:18 joshi:1 imagined:1 fifth:1 slow:2 ratio:63 enough:2 only:13 going:2 black:107 szell:1 hungarian:2 get:8 αf:1 mission:1 cannot:3 illingworth:2 soltan:1 neither:1 gem:1 secondary:1 krishna:21 regarding:1 frampton:2 summary:2 predicted:2 ignored:1 ends:2 relative:9 uncorrelated:1 fails:1 detect:3 subsequent:3 review:5 sites:1 outside:3 radiated:1 between:24 affecting:1 justified:2 across:1 multiplied:1 uk:1 tum:1 jets:15 virial:1 come:1 wanders:1 many:5 region:3 according:5 contract:1 expression:3 nearby:1 among:2 color:1 analyzed:1 pol:1 grants:1 anti:3 math:2 considering:1 capable:1 west:1 absence:1 odel:2 workshop:1 combined:3 direction:24 elvis:4 formed:2 photos:1 observe:2 those:4 case:17 hughes:5 situation:1 invited:4 versus:1 orientation:1 middle:1 ambient:1 technology:1 worry:1 binary:28 different:3 april:1 spiraling:1 same:11 epoch:3 arguments:8 regime:18 events:1 extended:1 dreyer:1 driven:4 cr:2 roughly:5 components:3 l101:2 model:6 binaries:17 l104:1 l106:1 being:5 guided:1 sweeping:1 ch:11 heuristic:1 seems:1 except:2 treatment:5 wiseman:1 momentum:59 real:3 aspects:1 around:7 dark:5 test:2 mon:1 using:7 ajhar:1 sperhake:2 particle:2 identifying:1 reduces:1 velocities:4 either:5 integrals:1 reduced:1 sympos:1 deduce:1 gilmore:3 respect:2 images:1 intend:1 energetic:1 symbiotic:1 conservative:9 depletion:1 critical:3 refer:1 reasonable:3 power:6 seconds:1 sixth:1 equivalent:4 notably:1 broken:2 symp:1 ratios:22 habe:1 rearranging:1 comparison:1 om:1 radioastronomy:1 central:26 discussed:9 acs:2 act:2 road:1 cambridge:3 inclusion:2 ηl:1 numerically:1 astronomically:1 mari:2 references:1 determine:1 heated:1 speculated:1 happening:1 shrinking:1 theoretically:1 bubbly:1 assumed:2 there:15 hertz:1 detectable:1 low:13 stars:11 gravit:1 newtonian:13 recoil:7 dissipative:14 longer:3 ωp:8 quantitatively:1 ωi:1 2003b:1 koppitz:2 monopole:2 regimes:2 strongly:4 ac:1 celestial:1 ad:1 barthel:1 certain:6 describe:1 general:5 ensuing:1 governed:1 gonz:4 again:4 equivalently:1 field:1 valid:3 karlsruhe:2 deviation:1 polar:1 separate:1 deriving:1 arcmin:1 important:3 flattened:1 mass:118 original:2 adaf:1 represent:2 aring:2 diss:1 sci:1 sch:7 mahadevan:2 caused:1 diener:3 month:10 aly:1 expressions:3 disk:11 reasoning:2 equivalence:1 opportunities:1 program:1 preserved:1 tf:2 ta:2 mpg:1 distorting:1 very:14 fak:1 l5:1 difference:2 condition:3 prolonged:1 large:9 small:25 lisa:1 becker:3 employing:2 past:2 rate:19 timescales:11 further:9 what:7 hernquist:2 brackets:1 section:23 intersect:1 method:1 contrast:3 edited:1 full:2 escaping:1 component:4 ranges:3 relaxation:3 directions:3 strong:6 allows:2 matsui:2 prior:1 eilek:1 published:1 action:1 via:3 followed:2 2000b:2 2000a:3 barker:4 ask:1 establish:2 select:1 eddington:1 proceed:1 contains:1 quasi:1 comparing:1 nucl:1 taken:2 astr:9 more:18 flat:1 ejected:1 m87:2 ital:1 emission:9 hardcastle:1 basically:1 varying:1 known:2 evolves:3 keeping:1 berti:3 cluster:1 science:3 equation:2 paragraph:1 learn:2 history:1 compare:1 neglected:4 states:1 salter:1 numbers:4 sense:1 axis:5 respective:1 goal:1 rather:4 imminent:1 acts:2 stemming:1 ucla:1 influences:2 explains:1 ensemble:1 szilagyi:1 ubiquitous:1 fz:1 derived:3 orbits:6 hannam:2 reflect:1 plane:5 waves:9 short:5 generic:1 negligible:1 ith:1 developed:2 soon:1 distortion:1 paper:9 through:8 existence:1 suffer:1 its:8 hundredth:2 rapidly:5 energies:2 actually:6 detected:2 systems:1 might:3 entraining:2 misalignment:2 propose:4 framework:1 foot:2 yu:2 always:4 mikkola:1 2g:8 circularize:1 2c:2 found:4 energetically:1 errata:1 characterized:2 heavy:1 marecki:2 another:7 hadronic:2 energy:14 expect:2 measurement:1 quantum:2 beyond:2 event:1 dominates:8 canopus:1 since:1 projected:1 research:2 dominated:9 induced:3 occurs:7 lawrence:2 diploma:1 reason:1 base:1 put:1 beginning:4 buonanno:2 definition:1 pairs:1 tenets:1 consequence:2 hadrons:1 major:2 probability:1 number:6 done:2 differ:2 temperature:1 jet:25 introduction:1 leading:19 interact:1 kidder:8 assumption:4 advection:2 passed:1 hundred:1 htm:2 too:1 shifted:1 relationship:1 barausse:3 immediate:1 prediction:1 lynden:2 optical:1 obstructed:1 peaked:1 king:2 double:1 bolyai:1 determined:1 aas:1 toward:4 treated:2 smbhs:10 substantial:2 headings:1 quasars:1 orders:5 wilson:4 depending:1 self:1 sherwood:1 majority:1 extrapolating:1 decelerating:1 added:1 reach:2 most:9 smbh:16 colliding:1 kreysa:2 l103:1 equatorial:1 unequal:1 torus:2 cover:1 kr:1 part:1 electrons:2 velocity:14 physics:11 phenomenon:4 superwinds:1 grebel:1 carefully:1 find:4 giant:1 markoff:1 parameters:5 merger:44 subsection:6 factor:9 loeb:2 columns:1 dominant:21 pions:1 famous:1 cote:1 closely:1 during:21 pretorius:2 silk:2 restart:1 alexander:7 continuum:1 transitional:5 disregarding:2 remove:1 investigate:1 common:8 activity:10 arp:1 bars:1 set:1 signify:1 ferrarese:4 undergoes:2 plausible:1 see:18 individual:2 sea:2 close:9 saitoh:1 axially:1 engel:1 stall:3 various:5 probably:1 hold:2 conditions:1 available:1 recently:5 statistically:2 se1:1 complementary:1 initially:3 vanishing:1 both:10 last:4 barely:1 anos:1 sensitive:1 roman:3 context:2 whole:2 experimental:1 arbitrarily:1 regulates:1 tgw:1 point:2 simple:4 corresponds:1 whatever:1 simply:1 throughout:4 along:5 described:5 raise:1 due:24 pc:17 describes:1 ph:9 extreme:13 pn:30 lett:3 sanders:3 lived:1 gas:14 precision:1 gap:1 fund:1 determination:1 representative:1 iye:2 reliable:1 empirical:1 while:13 behavior:1 error:1 richter:2 studied:1 rix:2 vol:1 averaging:1 owen:3 elsevier:1 mantovani:1 italy:1 grant:2 barnes:5 fading:1 shorter:1 emphasize:3 resulting:2 ray:3 composition:1 higher:11 literature:2 levels:1 moving:1 koch:1 recent:7 lower:8 analysis:3 obviously:1 2gj:1 distances:2 powering:1 shape:2 world:1 alignment:4 kluwer:1 junor:2 haardt:4 questioned:1 theorem:1 remaining:1 australia:1 march:1 evaluate:1 showing:3 integer:1 modifications:1 rotate:1 shaped:9 follows:2 disks:2 separately:1 translated:1 spins:12 mathematical:1 faber:2 often:2 seiler:2 spring:1 some:9 trends:1 sight:1 scale:3 resonances:1 per:5 l13:1 tends:1 proc:5 inserting:2 cutler:1 agreement:1 br:6 tidal:1 relating:1 cautious:1 constraint:1 simulation:1 range:35 blecha:2 cutoff:2 significant:3 into:13 within:4 integral:2 isomorphic:1 kassim:1 appropriate:1 proportional:1 chirping:2 statistics:4 span:2 sequence:3 question:3 fast:3 sesana:9 erasmus:1 analyze:3 considerably:2 plunge:11 elsewhere:1 segregation:1 line:4 considerable:1 funato:2 characteristic:8 uth:6 erice:1 up:8 us:3 mpifr:1 today:1 spectroscopy:1 faded:1 continuously:1 fluctuations:1 schechter:2 similar:3 called:5 constant:6 defined:4 focussing:1 redshifts:1 parsec:2 formalism:4 irrespective:1 tentative:1 points:2 nat:1 department:7 bmax:1 generates:1 prepared:1 chirp:1 sides:1 structure:2 lang:3 agn:2 suffers:1 implies:5 practically:2 age:1 holes:56 orbit:16 brunthaler:2 depth:1 far:3 having:3 once:1 gr:2 results:9 existing:1 eds:2 gm:12 14th:1 contributions:5 compact:23 sharples:1 deterministic:1 stable:3 starbursts:1 continues:1 wave:5 resonant:1 notes:1 shock:3 ryan:2 relation:1 noted:2 configurations:2 concluded:1 smaller:11 astrophys:46 imply:2 dynamics:20 odd:1 scientific:1 index:1 l15:1 giving:1 expressed:2 consistently:1 poles:1 3m:1 publications:1 body:3 ibid:2 exchange:1 respectively:7 pushing:2 l21:1 believed:2 objects:6 l24:1 separation:7 l29:1 deduced:1 fournon:2 involved:4 larger:14 suggests:2 products:1 submerged:1 involves:1 composed:1 scales:7 pollney:4 decrease:1 apply:2 cloud:2 use:5 usa:2 remains:1 next:3 few:12 malkan:1 lousto:4 ugmann:6 started:1 becomes:14 occurred:3 transient:1 eccentricity:1 actual:1 iii:4 isar:2 account:4 defines:1 averaged:2 merged:5 meet:1 perturbs:1 control:1 weaker:1 process:8 thermally:1 pieces:1 high:21 effectively:1 assumptions:2 weaken:1 precessing:7 holds:4 regions:1 varies:1 elliptical:1 sin:14 filament:1 circular:2 kormendy:2 1998b:2 1998c:2 1998a:2 light:1 counter:2 lines:1 correspond:1 element:2 inspiral:36 s2:12 s1:62 evolutionary:1 produces:3 astronomical:1 insight:1 produced:5 including:1 galaxy:19 perfect:2 outer:3 thence:3 chosen:3 masses:19 relativity:5 lj:3 degrees:1 pure:3 practice:1 innermost:3 interstellar:1 mention:1 precess:3 rotation:8 day:3 university:12 traced:1 identified:2 l6:1 merge:11 kpc:3 l3:1 accompanied:3 l9:2 arxiv:8 astroph:14 related:3 society:1 frequency:10 subdominant:1 separating:1 our:15 out:3 rev:36 m2i:1 lecture:2 cause:2 red:1 interactions:7 galaxies:51 completely:1 lajos:1 hubble:2 interaction:10 determining:1 could:6 frenk:1 times:3 4th:2 south:2 evans:1 powerful:6 l36:1 improvements:1 reached:1 koekemoer:1 thornburg:1 taniguchi:2 long:1 observer:1 system:12 adopted:1 their:15 intermediate:1 corotation:1 perfectly:1 final:10 academy:1 reversed:1 environmental:1 reflecting:1 dynamical:20 epochs:2 boring:1 interferometry:1 steep:3 synchrotron:1 symmetries:1 shrinks:3 superwind:2 separations:4 unchanged:6 disjoint:1 clearly:3 acceleration:1 misaligned:3 mik:4 angle:14 able:3 accelerated:1 mechanism:4 polarization:1 instance:1 concerns:1 meeting:1 korean:1 subject:1 sirius:1 accuracy:2 allow:4 centre:1 collaboration:1 intrinsic:2 class:2 32c:3 astro:9 proceedings:3 fact:6 supported:2 rotating:1 kraft:1 based:6 colbert:3 should:12 virgo:1 candidates:3 arcseconds:1 lso:2 employed:1 local:1 hall:2 1995a:2 means:5 overall:1 klypin:2 takahashi:2 evolution:13 precession:32 coalescence:2 differential:1 grav:2 reid:1 qc:2 hydrodynamic:1 contain:1 biermann:50 fixed:4 qm:2 view:1 mirabel:3 multiplying:1 motions:1 national:1 differs:3 saikia:1 enhanced:1 madau:5 creating:1 phases:6 nuclear:2 macros:1 state:5 invariant:1 boundary:1 comparable:10 explosive:1 opening:1 emitted:2 key:1 configuration:3 apostolatos:10 distribution:17 2pn:4 observable:4 2003a:2 limits:4 taking:2 decay:3 equal:9 presentations:1 assure:1 blandford:4 relevant:5 conclude:3 colpi:1 narrower:2 table:11 cu:1 ioka:2 second:22 romero:1 rhode:1 slowly:6 treat:1 enlarging:1 andez:1 define:2 arises:1 corresponding:5 huntsville:1 sufficient:1 berczik:3 cos:11 donea:2 angles:6 astron:26 c3:1 c2:16 lgw:1 present:2 survey:1 appearance:1 value:12 will:31 au:2 ultra:5 discoveries:1 annual:3 henkel:1 almost:3 vi:5 thus:24 positrons:1 partner:1 orbital:49 capture:1 perhaps:3 radiation:40 cross:6 precessional:19 unity:7 und:1 infer:1 material:1 http:2 eccentric:1 reporting:1 effect:15 phd:1 v1:1 v2:4 v3:1 v5:1 dust:1 frequently:1 identity:1 off:1 center:3 well:6 flanagan:2 wyn:1 less:4 increasingly:3 accurate:3 obtain:6 sources:9 underlying:1 momenta:3 gmi:2 rapid:3 preprint:1 1989a:2 1989b:1 density:1 ghez:2 absorption:1 bell:2 mathematically:1 add:1 ought:1 divided:1 tests:2 livio:1 desy:1 patnaik:1 increases:3 community:1 press:10 immediately:1 loss:7 necessary:2 like:2 bulge:1 alternatively:1 lose:2 become:5 works:1 because:2 tumble:2 nagar:2 growth:2 choosing:1 husa:3 peter:1 transport:1 happens:4 lead:3 broad:2 2c2:2 2c3:4 does:8 aszl:1 demonstrated:1 obey:1 reaching:3 expansion:7 stellar:13 host:4 although:4 offset:1 uhecrs:1 supermassive:5 cε:1 stage:12 about:28 rare:2 column:3 universe:5 bmbf:1 dependence:4 krt:1 carries:2 introduced:1 letters:14 previously:1 3c147:1 domain:2 additional:2 transfer:4 spiral:1 spots:2 peters:5 quadrupolar:3 inner:3 vas:6 naturally:1 function:2 but:13 hu:1 volume:2 ho:3 highest:3 falcke:13 whether:7 dut:2 gravitational:57 flip:31 below:9 limit:5 demonstrate:2 problem:5 radiatively:1 mechanics:1 inadequate:1 slowing:1 lobes:2 periods:1 approximated:3 functions:1 compared:6 detail:2 barth:3 other:30 es:3 riaf:1 relativ:1 conclusion:2 star:5 reorientation:1 june:2 stay:1 astronomy:3 volonteri:5 searches:1 stirred:1 coupling:2 factors:1 rule:1 |
0704.1969.txt |@word positions:3 partial:11 consider:4 chain:31 similarity:1 sce:1 alg:4 focus:1 four:8 proposition:4 computation:1 consists:4 follow:1 reasoning:1 row:12 certainly:1 depend:1 remarkable:1 graph:2 concerned:1 equivalence:3 young:125 presents:2 finally:4 does:4 tk:1 th:2 under:1 kλ:7 analogous:3 far:1 mlv:2 reader:4 induce:1 choice:1 decide:1 govern:1 matrices:1 encounter:1 partitions:6 leads:1 turns:1 t2:23 t0:1 t1:26 involution:6 transposing:1 science:1 inversions:10 deleting:2 originally:1 upper:3 smaller:1 occurrence:2 go:1 second:1 enclosed:1 insertion:42 corner:4 theo:1 canonical:26 nothing:2 what:3 appear:6 iterating:2 giving:5 d2:1 sum:2 cell:5 above:4 illustrations:1 new:7 fall:1 increasing:3 apply:2 consisting:1 filled:3 publications:1 satisfy:1 hµ:3 respectively:3 component:2 here:1 following:11 groups:1 address:1 concluding:2 path:8 standard:36 table:5 appears:6 deduced:1 obtained:25 ctu:2 convert:5 antisymmetric:1 wesley:1 informatique:1 shift:7 study:2 studied:5 commonly:1 later:1 1v:2 saint:1 resulting:1 pictorial:1 permutation:20 action:1 conveniently:1 suitable:2 sci:1 schur:7 transformations:1 classification:1 apr:1 search:1 contrarily:1 emptied:1 redefining:2 counts:3 des:2 univ:2 recurrence:2 use:7 takes:1 would:2 prove:7 distinct:5 positive:2 stated:4 rightmost:2 next:2 iteratively:1 type:1 diagrams:4 more:7 lowering:1 preserving:4 duality:2 started:1 suggestions:1 ti:2 digits:1 quarterly:1 reversible:1 nauchn:1 known:1 multiset:1 iv:1 nodes:1 must:1 account:1 word:4 ser:2 recall:9 equation:2 work:3 modified:1 hopf:2 labeled:3 obvious:1 rectangle:1 phrases:1 canonically:5 making:3 clarendon:1 trans:1 example:16 proof:27 help:1 claim:1 compare:1 figure:10 give:4 process:8 programming:1 permutations:10 organized:1 increasingly:1 monge:1 numbers:18 allowed:2 counting:3 robinson:5 occur:1 information:1 end:6 turn:1 provide:2 conversely:2 di:1 tableau:72 s4:1 mµ:2 maps:2 pair:2 lexicographical:4 dominance:1 map:2 product:2 rise:1 description:9 algebra:15 may:5 assimilated:1 after:2 mapping:1 diagram:9 applications:1 explored:1 horizontal:1 parallel:1 repeat:1 o:2 realized:1 introduced:7 natural:2 whenever:4 su:3 element:9 rather:1 so:15 sn:8 fundamental:1 keeps:1 representation:5 antichain:1 order:31 longest:1 restriction:2 holds:2 interpretation:9 kostka:13 ith:1 produces:2 indeed:8 pointed:1 entries:14 soon:1 interpreted:2 paper:3 through:1 hivert:2 during:1 y1:1 converting:5 y2:1 avenue:1 its:28 sλ:5 write:1 taquin:1 group:5 how:1 fpsac:1 coordinates:2 writing:1 forms:1 according:1 covered:4 taskin:4 easier:1 correspondence:5 them:1 yl:4 dim:1 introduce:5 primary:1 records:2 tableaux:73 they:2 front:3 now:7 hall:1 matched:3 easily:9 inversion:7 gets:1 equality:2 adjacent:1 corners:1 labeling:10 establishing:1 filling:1 inequality:1 each:14 universit:1 side:2 inserts:1 differential:5 successively:1 weight:1 doing:1 series:1 ea:1 fr:2 related:1 conventions:1 elementary:1 connect:1 quantum:1 our:1 operation:5 ev:8 out:5 matrix:11 fu:3 since:2 denotes:4 looking:1 combinatorial:6 evacuation:17 denoted:11 formula:6 newly:1 induced:1 induction:1 sliding:1 math:5 shows:1 linear:9 diagonal:1 governing:1 quite:3 nth:2 subsequences:1 ord:5 homogenous:1 compositions:1 r4:1 definition:34 pairs:1 r1:2 r2:2 created:1 starts:1 sylvester:1 transition:4 iterative:1 nonnegative:2 ordering:1 length:2 hence:4 moving:2 onto:6 first:14 xj:14 xk:3 major:1 already:2 bijection:1 relate:5 thesis:1 number:23 rank:10 hook:2 done:1 least:4 another:5 xr:5 ring:1 size:29 given:16 necessarily:1 1u:4 needed:2 introduction:3 top:19 relations:7 their:4 yℓ:1 statement:4 realization:1 ordered:2 scheme:1 posets:11 gives:2 shifted:4 terminates:2 convention:1 because:1 x2:2 x1:2 representing:1 than:6 coefficients:1 showed:1 double:4 tree:1 recording:5 poirier:2 classes:4 kth:1 yi2:1 1n:2 w2:3 enforced:1 fibonacci:108 ann:1 wmax:8 generalization:2 say:8 need:2 take:3 any:26 contents:1 paths:1 conversion:4 constructions:6 reciprocally:1 built:5 min:1 convenient:1 latter:3 mechanism:6 note:3 generalized:3 finding:1 algorithms:2 coincide:5 degenerated:2 addison:1 mit:1 formulas:2 hecke:1 added:5 normal:1 denoting:1 who:2 falls:1 algebraic:1 said:3 letter:9 position:1 remarks:2 grateful:1 acknowledgements:2 segment:1 class:4 sub:1 ka:1 observation:3 dom:2 url:1 clear:4 partition:3 coincides:2 vertices:2 counted:1 graphs:3 ext:6 ku:7 usual:4 section:19 schensted:10 show:3 labels:3 rtu:3 rtv:3 relation:7 builds:2 saturated:14 analogue:19 trivial:1 find:3 d1:1 current:1 roby:22 situations:1 writes:1 examples:2 lemma:17 only:8 black:1 ebec:1 uppermost:2 he:1 local:3 over:1 columns:9 dn:1 do:4 his:1 viewpoint:2 means:3 yfl:16 syst:1 de:5 db:2 dc:2 trees:3 da:2 cannot:1 legitimate:3 words:4 lattices:1 du:1 boundary:2 secondary:1 closure:2 covering:5 seemed:1 approach:7 transposition:1 arxiv:1 common:1 mapped:2 cycles:1 fomin:21 redefine:1 set:18 art:1 questions:1 exists:2 module:1 observed:1 see:6 computer:1 result:4 w1:14 w0:2 showing:1 stanley:3 sem:1 λi:1 ebre:1 subject:1 satisfying:4 ways:1 pictures:1 currently:1 label:3 symmetric:15 enough:1 µi:4 between:9 yi1:1 geometric:2 reading:10 conditions:9 pictured:1 preserve:1 ends:2 restricting:1 terms:8 creating:1 vertical:1 nature:1 comp:1 notion:1 weak:15 key:1 outer:1 configuration:1 n1n:2 both:5 σi:1 last:1 reverse:3 many:3 τi:1 equal:2 connection:2 expression:1 zapiski:1 otherwise:4 among:1 co:1 necessary:1 point:3 simple:1 had:1 ca:2 corresponds:2 2nd:1 ab:3 non:2 xi:6 traitement:1 yi:5 proved:1 throughout:1 pp:1 comb:5 described:6 perspectives:2 pt:21 pu:2 addition:1 simplification:1 skew:1 due:2 attaching:2 ai:1 much:1 numberings:4 pk:4 jeu:1 algebras:2 inv:8 empty:7 define:4 box:12 graphical:1 corresponding:5 remark:9 else:2 noncommutative:1 mail:1 denote:2 those:3 case:5 look:2 being:3 etienne:1 will:24 while:1 novelli:1 lomi:1 situation:1 property:5 inspired:1 maximal:8 existence:1 vol:2 vi:3 concatenation:1 encountered:1 couples:4 reads:1 itself:3 vu:2 dual:2 greater:4 binary:4 containing:1 ytn:4 author:1 lengths:2 suggest:1 make:2 same:12 clearly:1 read:1 parts:1 emes:1 largest:1 modification:3 knuth:4 finite:1 composition:1 used:4 http:1 i1:2 laboratoire:1 i2:2 hand:4 v1:5 v2:2 investigates:1 build:2 totally:1 cycle:1 prescribed:1 lower:2 mention:1 well:5 edge:2 sets:1 entry:31 model:1 dimension:2 left:24 krob:1 graded:8 just:11 decreasing:2 monomial:1 resp:7 numbering:5 obtain:2 rest:1 oxford:1 shape:33 intervals:1 correspondences:1 using:10 alternative:1 yet:3 previous:1 move:3 adding:1 unique:2 similarities:1 seems:1 except:1 janvier:2 macdonald:1 lattice:22 add:1 interested:2 easy:3 theorem:31 remaining:1 gave:1 boxed:19 2u:3 rules:5 couple:5 2v:3 possibly:1 boxes:2 2w:1 press:1 integer:3 ams:1 replace:2 poset:29 sorting:1 appearing:7 helpful:1 semi:7 follows:20 canad:1 either:2 always:2 essential:1 right:21 classical:1 sequence:1 sends:1 some:7 back:2 pacific:1 growth:13 b1:1 b2:1 statistic:2 matching:1 provided:1 illustrated:1 bottom:13 comments:1 get:2 okada:14 decomposition:1 expressing:4 wmin:8 chains:5 minimal:10 refer:4 inserting:1 performed:1 equivalent:6 δi:3 bi:1 amer:1 broken:1 step:4 shifting:12 relating:3 properties:7 simpler:2 integers:5 carried:1 extension:5 column:30 discussed:2 graduation:2 extensions:6 theory:1 transitive:2 soc:1 own:1 letters:3 inclusion:1 orders:4 into:17 bound:1 three:2 down:3 lies:2 square:1 references:2 bijective:1 france:1 particularly:1 fill:1 ph:1 combinatorics:4 reutenauer:2 strictly:1 there:11 question:2 r3:2 bump:1 inner:2 way:11 ed:1 translate:1 was:7 naturally:6 function:4 complete:5 sequel:2 hv:3 but:13 searching:1 repeated:1 construction:9 line:6 valuation:3 considerable:1 partially:1 count:2 made:4 applying:3 partitioned:1 happen:1 cells:6 up:4 us:9 placed:1 below:25 converted:3 problem:4 attaches:1 similar:4 called:2 delete:1 adopt:1 associated:13 computing:1 defined:14 certain:1 abstract:1 covers:1 general:3 littlewood:2 single:11 together:1 check:3 defines:3 functions:13 no:9 whereas:2 when:3 proceedings:1 definitions:2 other:7 compares:1 details:1 mathematics:1 nu:7 nice:1 node:1 picture:2 draw:1 elements:3 vertex:2 polynomials:1 includes:2 a1:4 a0:9 generated:2 a2:4 additionally:2 structure:3 thibon:2 longer:2 algorithm:40 interval:11 rule:4 original:7 moreover:1 richardson:2 n2:1 starting:3 having:7 |
0704.1970.txt |@word sci:1 forget:1 remarkable:1 magnetic:10 results:2 leads:5 ginzburg:2 woods:1 entropy:2 remarkably:1 contributions:1 nqp:1 phonon:1 careful:1 tx:2 paris:1 shall:1 presents:6 quasi:7 does:2 marks:1 temperaturedependent:1 tc:7 indicating:1 case:3 supported:1 broadly:1 far:2 thermoelectric:10 wave:1 electron:1 matsuda:1 counterflow:2 difference:1 illustrated:2 squares:2 presented:1 diverging:2 issue:1 ri:1 large:6 vector:1 small:8 enhance:2 mati:1 noted:1 upper:2 force:6 monotonous:1 measurable:1 literature:1 sign:10 approximation:1 fold:1 zero:7 enhancement:14 further:1 dynamics:2 estimated:1 10t:1 even:4 what:2 incompatible:1 expressed:1 3t:3 current:5 above:7 new:1 increasing:2 method:1 contrast:2 temperatures:1 coefficient:27 never:1 proc:1 here:2 reported:6 tracks:1 free:1 separate:1 address:2 path:1 along:4 strong:3 appears:2 change:2 obtained:3 remark:1 rigorously:1 institute:2 study:2 allows:1 suggests:2 periodic:1 usually:1 narrow:1 studies:2 plotted:1 via:1 natural:1 scales:3 impedes:1 marked:1 modifying:1 logarithmic:2 visible:1 decrease:2 anomalies:1 superclean:1 thermodynamically:1 plot:3 qcp:18 takes:1 would:2 remains:2 positive:2 charge:2 france:2 therefore:5 usp:1 taken:1 associated:1 theoretical:4 reflects:1 more:2 becomes:6 naive:1 under:1 normalized:7 particular:2 supercond:1 high:3 springer:1 room:1 tokyo:3 originally:1 work:1 ρn:1 ronning:1 ere:1 three:5 route:1 compare:1 onset:3 wang:1 figure:7 sample:1 minimum:7 numbers:1 magnitudes:1 isothermal:1 axis:1 information:1 needs:1 end:1 straightforward:1 l337:1 divided:4 holds:1 feature:8 regions:2 very:2 hot:6 resistivities:1 opposite:3 ordinary:1 de:1 sommerfeld:1 mat:1 may:1 derived:1 different:3 kontani:2 plane:4 sondheimer:1 drastic:1 data:4 response:5 considerations:1 ruo2:1 liquid:9 nernst:36 interrupted:1 sn:4 decreasing:2 acknowledges:1 order:8 interpretation:1 espci:1 indeed:1 insight:1 years:1 produced:1 thermal:13 paper:1 through:1 same:1 discrepancy:1 meguro:1 mentioned:1 japan:4 cold:2 its:7 thank:1 la:1 interesting:1 fate:1 vicinity:7 exhibits:1 better:1 absence:1 fig:13 constitutes:1 derivative:1 main:2 designs:1 than:2 entire:1 thermometers:1 regarding:1 ong:1 k2b:1 depin:1 documented:1 fflo:1 hall:4 2t:2 term:1 finite:3 university:3 identified:1 lorenz:2 magnitude:7 arrow:1 fields:11 found:1 mean:1 heavy:3 el:1 en:1 vanishingly:3 osaka:2 reduce:1 used:1 ey:2 expect:1 combining:1 quantum:11 our:4 shown:1 gradient:8 open:3 since:5 rev:19 research:1 particles:4 fellowship:1 nakajima:2 investigation:2 surprise:1 induced:3 ref:3 occurs:2 excess:2 shows:1 cecoin5:13 linear:2 behnia:2 governing:1 standard:3 reason:1 formation:4 besides:1 put:1 generate:1 8t:3 temperature:39 hc2:7 textbook:2 could:2 transition:4 keep:1 turn:2 kohno:2 produce:1 signature:2 routes:1 moving:2 first:4 origin:1 quasiparticle:1 number:3 linking:3 done:1 another:2 carry:1 electronic:4 occurrence:2 given:1 1t:4 leading:1 behaves:1 system:1 their:2 assumption:1 fermions:1 convention:4 thermoelectrics:1 1k:1 recent:1 fieldinduced:1 collapse:3 mostly:1 kasahara:1 explanation:1 45t:1 transverse:5 basal:1 elusive:1 peculiar:1 coefficients:7 observed:4 bel:2 second:2 inversely:3 matter:2 determined:1 contrary:2 str:1 were:2 bauer:1 distinguished:1 function:2 resistivity:9 lines:1 mind:1 curves:1 discussions:1 need:2 seen:3 apparently:1 linked:1 magnus:1 self:1 note:6 k2:1 movement:2 forces:1 agence:1 singh:1 subject:3 circles:3 cnrs:1 electric:7 trace:1 normal:6 track:1 correlation:6 seebeck:10 most:3 complementing:1 condens:2 marie:1 commissariat:1 probes:4 kf:1 flow:1 curie:1 electrons:2 physics:4 kopnin:1 quantity:2 signatures:1 intensity:1 show:2 text:1 probe:1 purely:1 relation:1 threshold:3 fine:1 find:2 subtracting:2 ratio:5 should:3 only:1 black:1 attained:1 adequate:1 oct:1 ser:1 move:2 keeps:1 wide:1 dependent:1 simplest:1 overall:1 cannot:1 nearly:1 closely:1 report:1 during:1 evolution:1 sidorov:1 schottky:1 podolsky:1 explore:1 spsms:1 arxiv:1 saturates:2 predicted:1 characteristic:1 κxy:1 london:1 fixed:1 reveals:1 set:2 computed:1 clarified:1 toyonaka:1 see:1 result:2 enhanced:3 existence:2 cyclotron:1 close:9 contour:2 conductivity:1 project:1 tensor:1 µv:3 state:10 various:2 between:5 fermi:19 conditions:1 milder:1 comparable:2 brison:1 sheikin:1 jq:1 however:5 kotliar:1 avogadro:1 jf:1 both:7 essentially:1 last:1 many:1 region:5 according:5 negative:2 context:1 0h:1 argue:2 disappears:1 workers:1 experimental:4 σt:1 co:1 point:4 simple:1 relaxation:1 corresponds:1 ized:1 anti:1 16t:1 moreover:1 source:2 union:1 create:1 detected:5 been:1 bianchi:2 superconductor:2 interest:1 expected:6 anomalously:2 systems:1 field:21 direction:2 arises:1 quantities:2 kashiwa:1 scrutiny:1 dramatic:2 6t:2 deep:1 input:1 zerofield:1 present:4 applied:4 intriguing:1 ǫf:3 pacs:1 solid:4 value:4 will:1 near:13 behavior:7 miyake:3 procedure:1 supercurrent:1 concomitant:1 orientation:1 jpn:4 phenomenological:1 thus:3 non:2 surface:1 equal:1 superconducting:5 cond:1 pronounced:1 technology:1 fermion:2 grown:1 intense:1 any:1 spectacular:1 maki:1 lett:11 k2t:1 clearly:2 unity:5 units:1 dimensionless:3 several:1 european:1 cel:3 unconventional:1 laboratoire:1 effect:7 hand:5 driven:1 liquids:1 robust:2 contribution:6 destruction:1 off:2 framework:1 well:4 roughly:1 inelastic:1 without:1 quantitative:1 model:1 latter:2 cuprates:1 just:3 proximity:2 superconductors:2 sources:1 thanks:1 questions:1 paul:1 scattering:3 yet:1 previous:2 chiba:1 now:3 extracted:2 5t:7 photons:1 seems:1 color:2 unambiguously:1 extends:1 treatment:1 role:1 mod:1 identical:1 saturation:1 criticality:4 µωcm:1 possible:2 atomique:1 upturn:4 smallness:2 increases:2 thermopower:5 five:1 know:1 resolves:1 using:1 grenoble:1 helpful:1 shoulder:3 particle:3 semi:1 alternatively:1 signal:13 adiabatic:1 zoom:1 specific:11 flux:1 vortex:15 arbitrary:1 downward:1 nationale:1 because:4 vortices:10 understood:1 extended:1 transport:1 happens:1 provided:1 scale:6 measurements:3 exceeding:1 thermoelectricity:2 critical:9 energie:1 moderate:1 imply:1 measuring:1 core:2 who:2 l0:1 kyoto:2 each:1 agreement:1 pressure:2 huebener:1 offset:1 subtract:2 properties:2 comparison:1 about:3 ferromagnetic:1 anomalous:1 dependence:12 distinct:2 range:3 recherche:1 steadily:1 heater:1 soc:5 presence:4 previously:2 into:1 due:5 down:4 appropriate:1 petrovic:1 sov:1 proportional:2 theoretically:1 follows:1 paglione:4 additional:5 area:1 measured:4 there:6 anderson:1 window:1 low:3 way:1 was:8 energy:15 lowest:2 but:4 anisotropic:1 heat:14 illuminating:1 link:1 implies:1 line:1 semimetals:1 collapses:1 observation:1 instructive:1 antiferromagnetic:1 shimahara:1 up:1 us:2 kadowaki:1 fdp:1 below:5 frequency:1 limit:2 fluctuations:2 ωc:1 display:1 his:1 ae:1 af:3 defined:3 contribute:1 metals:1 single:1 crystals:1 defines:1 specially:1 marking:1 compared:1 puzzling:3 nn:3 no:5 na:1 when:2 vanishes:1 application:1 other:11 compares:2 department:3 predominant:1 deviate:1 conclusion:1 deviation:1 picture:3 generates:2 superconductivity:4 variation:1 a1:4 generated:2 restoration:1 technol:1 log:1 structure:1 regime:7 faster:3 4t:1 together:1 inset:4 mass:1 time:2 conductivities:1 stewart:1 |
0704.1971.txt |@word burnett:1 vorticity:2 consider:3 gp:5 rev:9 thouless:1 results:1 1978b:1 existing:1 ginzburg:1 grateful:1 consists:4 follow:4 expressions:2 localized:3 gr:1 excludes:1 terms:2 calculate:1 transferred:1 graph:1 rayleigh:1 intensive:1 quasi:1 critical:6 depending:1 discovering:1 stochastic:1 analogous:1 characterised:1 p2:3 kρ:1 amplitudes:3 p3:2 very:2 frequencies:2 rise:1 springer:1 wave:5 ultraviolet:1 difference:1 condition:2 entire:1 exponential:1 level:1 large:4 discrete:5 vector:1 math:3 small:6 khalatnikov:1 anal:1 force:8 insignificant:1 sin2:1 approximation:4 zero:6 dynamics:5 linear:4 spectral:1 nazarenko:1 nonlinear:4 putterman:1 interactions:9 analogously:1 expressed:1 uniform:1 new:2 consisting:1 coefficient:1 condensed:12 exchange:2 becs:1 inviscid:1 component:2 diagonalises:1 here:2 understanding:1 behaviour:1 tangent:1 healing:2 separation:1 active:1 depend:1 strong:1 equations:3 appears:1 obtained:9 ngb:1 debate:1 study:2 studied:2 shades:1 periodic:1 resulting:1 suggestion:1 fourier:3 changes:1 sci:1 criticism:1 via:6 depart:1 extra:1 1978a:1 addressed:1 decrease:1 aimed:1 condensates:2 total:12 cloud:2 shlyapnikov:1 plot:2 use:2 takes:3 ψv:1 only:4 next:1 occupying:1 process:1 depicted:1 therefore:2 centre:1 averaging:1 taken:1 type:1 theoretical:1 subcritical:2 more:3 zh:3 ap3:1 factor:1 levich:1 odinger:2 ap4:1 berlin:1 excellent:1 leadbeater:1 volovik:1 largescale:1 high:3 account:1 r2:1 quantized:1 equation:22 modified:2 ρn:4 remain:1 archiv:1 values:6 temperatures:7 morgan:1 freedom:1 following:3 performed:1 heart:1 figure:1 give:1 predict:2 relativistic:1 states:1 collision:1 assumptions:1 thus:1 numbers:1 degenerate:1 simple:1 motion:6 hoc:2 decaying:1 eng:1 helium:2 discussion:1 ultracold:1 write:1 varies:1 fourth:3 parameter:3 tension:1 description:2 thermodynamic:1 after:2 quasicondensate:1 confirmed:1 epsrc:1 barotropic:1 law:5 goal:1 natural:1 dynamical:2 effective:1 light:1 sq:1 spectra:1 lines:5 chapman:1 cascade:4 so:4 allow:1 she:1 representation:1 acknowledges:1 order:5 wavelengths:1 hierarchy:1 gradual:1 move:1 soc:3 parametrised:1 thermal:6 computational:1 through:3 motions:1 argued:1 existence:3 still:1 excitations:1 its:2 isosurface:1 before:1 derive:3 rapidly:2 fit:4 decay:19 energies:2 solving:1 actually:1 absence:1 parts:1 degrees:1 fig:11 relate:2 schmidt:1 non:19 good:1 gray:3 evolution:3 introduce:1 landau:7 framework:1 samuels:1 effects:4 bogoliubov:5 yu:4 hall:1 uncondensed:1 represents:1 term:2 several:1 fully:1 university:2 hamiltonian:2 identified:1 l2:1 mode:1 found:3 mean:2 inserts:3 defocusing:5 eg:3 berloff:4 idea:1 related:2 αui:1 decays:2 perturbations:1 quantum:4 our:10 computationally:1 eq:9 out:2 shown:7 space:3 rep:1 crucial:1 particles:13 collisions:4 acting:1 max:1 formula:3 induced:1 occurs:1 red:4 shows:6 theory:6 reformulated:1 drifting:1 inapplicable:1 completely:1 formation:7 8r:4 estimate:1 generate:1 perform:1 r0:1 derivation:1 language:1 transition:1 times:1 creates:1 introduction:1 length:11 davis:1 teor:1 condensate:18 first:3 initial:6 quasiparticle:1 omitted:1 variables:1 waves:3 number:16 reaches:1 gases:1 directly:2 carry:1 radiate:1 ring:17 tangle:4 open:1 size:1 given:6 temperature:19 ordering:1 top:1 system:7 needed:1 quadratic:3 rates:2 calculations:3 travelled:4 scheme:2 structures:2 final:1 gives:2 isosurfaces:1 fraction:2 relationship:2 trapped:1 moscow:1 kagan:4 discretised:2 newell:2 transverse:5 part:3 attempt:2 coefficients:4 distance:2 determines:2 showed:1 bec:4 rate:2 ranging:1 roberts:2 matter:2 determined:1 amplitude:1 were:1 treated:1 pre:1 addressing:1 spectrum:1 curves:1 correspond:1 randomly:1 discussions:1 rat:1 seen:1 any:3 hydrodynamic:1 numerics:3 genuine:2 min:1 self:3 responsible:1 gravity:2 thorough:1 note:2 sciences:1 fitting:1 internal:1 forces:2 online:3 green:1 subject:1 kirkpatrick:1 accuracy:1 blue:2 fundamental:2 shall:1 removes:1 αs:1 madelung:1 plan:1 letter:2 formulae:1 r37:1 αt:1 fiz:3 tλ:19 kk:1 soviet:1 calculated:5 flow:2 physica:3 graphs:1 points:2 velocity:5 connaughton:1 physics:3 wavenumber:1 superfluidity:1 nls:12 show:3 violation:1 text:1 random:1 friction:6 relation:2 svistunov:6 dyachenko:1 find:1 ground:4 finally:1 based:3 parameters:3 much:2 distributed:2 state:17 quasiparticles:4 black:2 indeed:1 local:1 achieve:1 equilibrium:15 ser:1 dl:1 his:2 get:2 de:1 fluid:8 inclusion:1 famous:1 dz:3 nonequilibrium:1 dx:3 dt:6 dr:1 gen:2 becomes:1 aeq:1 qp:2 processes:1 continuum:1 turbulence:12 fields:2 arxiv:1 suggested:1 summary:1 qc:1 paper:1 predicted:1 analytical:6 london:1 pitaevskii:3 enhances:1 set:1 computed:1 reference:1 kolmogorov:1 turbulent:2 maximum:1 relative:2 opposite:1 depends:2 radius:3 result:3 fail:1 close:1 page:2 1977a:1 instance:1 phases:2 detect:1 interacting:5 superfluid:16 away:1 rings:3 colours:1 written:3 future:1 various:7 4πr:1 between:7 ui:8 approach:1 across:2 discovery:1 recently:1 p2c:1 nature:1 spacing:1 tur:1 weak:4 joe:1 key:2 bose:4 jetp:8 distribution:3 adapting:1 ranges:1 cos:1 stages:1 many:2 region:1 falkovich:1 according:6 sov:7 chosen:1 dated:1 context:5 exceeds:1 disappears:2 s96:1 eksp:3 co:1 point:3 color:1 jeans:1 corresponds:2 dimensional:2 ii:1 ad:2 considering:1 described:3 basis:2 addition:1 create:1 three:2 been:10 pc:2 describes:2 interest:1 basic:1 agrees:1 pi:2 ak:1 dots:2 box:1 corresponding:2 1977b:1 offered:1 gas:4 essentially:1 anthony:1 coherent:2 position:1 remedied:1 applied:2 k2:6 p1:1 look:1 p4:2 pacs:1 solid:1 dorfman:1 yakhot:1 choices:1 near:1 momentum:3 procedure:1 ψeq:2 donnelly:1 phenomenological:1 ip:1 simulations:3 vl:2 them:1 vn:3 vp:2 unit:1 vs:1 cond:1 ambient:1 interacts:1 disappear:1 different:3 develop:1 sensitive:1 lengths:1 radiation:1 same:1 clearly:1 shorter:1 complex:2 runge:1 units:2 filtered:2 dimensionless:1 finite:3 kutta:1 used:6 see:6 kelvin:5 numerical:7 effect:3 jkn:2 hydrodynamics:1 changing:1 off:2 dark:1 weakly:3 schr:2 scenario:1 k22:1 expression:3 colour:2 magnus:1 well:1 equilibrates:1 densities:1 without:1 organization:1 model:5 arising:1 left:2 distances:4 r02:1 being:2 sound:3 accurate:3 mol:1 obtain:2 rest:1 mid:1 formulated:1 mechanism:3 0wa:1 cut:2 hills:1 density:23 zakharov:3 scales:5 k1:1 iψ:1 valid:1 lett:4 complements:1 c11:1 transformation:2 euler:1 opt:3 barenghi:1 spatial:1 sonin:1 2v:1 early:1 grid:1 vacuum:3 press:1 using:6 pushkarev:1 insert:8 adams:1 alternatively:1 δp:1 vortex:59 steps:1 δp1:1 arbitrary:1 soft:1 essential:1 cooled:1 mathematical:1 right:1 noncondensed:1 classical:7 vortices:9 some:2 mech:1 vsl:4 transport:1 gross:2 scale:4 lead:1 normal:3 integration:1 does:3 linearly:2 proc:2 core:3 indicated:1 elucidate:1 journal:1 analysed:1 expansion:1 q2p:2 bp:2 plots:1 properties:1 stage:1 comparison:1 about:4 actual:1 a0:2 universe:1 ωb:6 dependence:2 reduced:1 range:1 r1:1 greatly:1 reads:1 introduced:3 functions:1 cutoff:1 discretization:3 cambridge:4 significant:2 presence:4 into:6 within:2 numerically:2 functional:1 due:2 eqs:5 dissipation:4 square:4 determine:4 einstein:1 1990s:1 reconnections:3 ψj:12 log:4 normalised:1 transfer:1 support:2 there:2 question:3 lond:1 long:1 dispersion:2 conservation:1 bosons:1 low:4 way:2 diagonalisation:1 analyze:1 was:3 energy:19 naturally:1 function:13 medium:1 form:3 superfluids:3 kronecker:1 jun:1 but:4 iordanskii:1 volume:1 illuminating:1 delta:1 line:23 dissipative:2 he:1 absent:1 temp:2 whether:2 mat:1 up:2 quantitatively:1 until:1 considered:2 below:3 limit:3 uk:1 observation:1 fluctuations:2 problem:1 quantised:3 similar:2 professor:1 strongly:3 conserves:1 int:1 curve:1 universal:4 ao:1 general:4 globally:1 ap:4 single:6 predictions:1 wavelength:2 regime:2 again:1 mutual:6 compared:4 thermodynamical:1 no:2 dashed:1 whereas:1 wavefunction:2 when:5 phonon:1 field:4 other:1 details:1 papers:1 department:1 mathematics:1 theor:2 conclusion:2 deviation:1 models:1 symbol:1 vov:1 emission:1 cb3:1 important:1 included:1 condensation:7 longer:1 natalia:1 interval:1 kinetics:1 eddies:1 portion:1 vinen:4 mass:1 time:14 cores:1 starting:3 |
0704.1972.txt |@word precise:3 gt:14 consider:5 priori:1 copy:1 global:3 results:4 vr:6 four:3 kuleuven:2 scalar:1 proposition:28 p06:1 computation:4 edu:1 consists:8 follow:3 expressions:1 gl:1 gj:1 totik:1 row:1 devoted:2 whose:2 inverse:2 depend:5 integral:4 gˆ:4 graph:1 involve:1 tr:2 kapaev:6 recurrence:1 kα:2 critical:29 contours:4 orgen:1 under:3 analogous:1 presentation:2 spec:26 mehta:2 applied:1 conjecture:1 supported:5 g2:2 straightforward:6 orthogonal:11 very:1 vt:16 rise:1 choice:16 embark:1 valued:4 every:10 formula:8 affect:1 little:1 matrices:16 deformations:4 condition:23 tri:8 leads:8 symplectic:1 riemann:23 solves:3 hamiltonian:2 did:1 turns:2 notes:2 nucl:1 list:1 solution:84 ri:2 large:1 solved:3 convenience:1 differential:15 phase:1 announced:1 ibi:5 science:2 small:4 eigenvalues:3 c02:1 referred:1 noted:1 multiplies:1 upper:9 zn:4 neighborhood:8 version:1 foundation:1 ic1:1 variables:1 estimates:3 factorization:8 dimensional:1 modified:2 jump:20 painlev:60 eπ:8 verify:2 equal:2 further:1 choices:1 linear:6 residue:3 established:3 what:5 disk:1 appear:5 invertible:4 stegun:1 d2:1 section:6 decays:1 analogously:1 expressed:3 dbt:2 cyclic:3 poles:23 3n:7 above:9 fractional:1 new:9 gluing:1 principal:5 σf2:2 consisting:2 ρt:8 satisfy:6 compact:2 κn:5 full:3 required:3 chose:3 κj:3 pseudoinverse:1 respectively:4 component:3 equals:1 here:6 generic:1 simon:1 expansion:1 address:1 concluding:2 along:8 sine:1 equations:13 iupui:1 change:1 deduced:1 obtained:2 remark:7 property:5 spite:1 thirty:1 ot:2 leaves:1 1v:1 accomplished:1 resulting:1 permutation:1 changes:2 regularity:1 involves:1 york:5 uniquely:5 boundedness:2 via:1 family:2 extra:1 apr:1 explained:1 sign:1 while:4 replace:1 logarithmic:7 wis:2 pp:2 bm:1 traversing:1 establish:2 research:3 unit:1 readily:1 use:17 quasi:1 lecture:2 asymptotic:22 would:2 prove:12 2u:4 positive:7 lying:1 give:2 initial:1 rightmost:1 next:8 iq:2 interlace:1 going:2 therefore:9 unfortunately:1 taken:7 indiana:1 associated:8 e2:3 type:2 more:12 establishing:1 lindel:1 ee:3 stokes:7 relevant:1 thus:15 operators:4 starting:1 odinger:1 appendix:1 eθ:6 particular:11 known:9 cases:6 hold:5 iii:1 interuniversity:1 must:2 ivt:1 springer:1 endpoint:3 riemannhilbert:2 sphere:1 recall:10 equation:50 work:1 det:20 slit:1 remain:1 vs:8 values:8 norm:2 nonlinear:1 ρv:15 following:47 im:7 arrive:1 root:3 example:2 deformation:2 proof:39 f1:4 ready:1 dual:1 figure:17 stated:2 calculation:8 distributions:1 preserving:2 annals:1 lψ:1 respective:1 states:2 dxn:1 dxm:1 assumptions:1 want:3 sense:2 reed:1 transcendent:3 conversely:1 axis:3 information:1 needs:1 rays:4 end:4 lemma:24 darboux:1 ideas:1 s1:3 holds:8 s6:1 bn:8 en:3 write:4 how:7 methodology:1 fα:11 fourth:1 familiar:1 instead:6 ordinary:2 strong:1 parameter:13 divides:1 2v:3 isomonodromic:3 oscillatory:1 map:5 de:3 ft:101 description:1 kitaev:1 singular:6 may:11 indicating:1 derived:2 mapping:1 consequence:2 plane:6 lax:7 studies:1 borodin:1 cancellations:1 minimizer:2 data:14 compatibility:1 constants:3 sx:2 branches:3 third:2 easier:1 whenever:1 sq:8 ueno:2 explicit:3 corollary:2 su:1 element:1 s3:1 2d:2 so:40 correlation:6 definitions:1 eds:2 order:5 nlin:1 kuijlaars:33 approx:1 six:1 interpretation:1 subsections:1 indeed:24 over:3 entries:3 satisfied:6 paper:5 through:6 s5:1 counterclockwise:1 cuts:1 mentioned:2 2su:1 satisfies:21 s4:1 its:57 before:3 s2:2 derive:2 symmetry:3 2j:2 decay:1 chosen:3 interesting:1 fix:2 kriecherbauer:3 sζ:11 conjugation:1 gen:1 better:1 ψf1:1 lt:11 parts:7 choose:7 lp:1 derivative:2 main:4 might:1 into:6 arguments:1 correspondence:2 them:1 good:1 motivated:1 pure:8 evaluate:1 entire:2 integer:1 universality:7 acklund:1 introduce:5 number:6 scaling:9 they:2 identically:7 singularity:10 now:19 yu:1 discuss:2 classe:1 uppsala:1 deift:14 february:1 2q:9 purdue:1 e2πi:2 university:3 level:1 2x:2 appropriate:2 2z:1 ensemble:3 orthonormal:2 2e:2 nft:1 l2:27 each:12 found:1 soc:2 decreasing:1 side:10 characterized:7 mean:3 homogeneous:2 domain:4 square:3 ei:1 weight:5 ej:8 short:1 series:3 energy:1 reduce:1 idea:2 related:5 constitute:1 used:6 entrywise:1 measure:6 quantum:1 our:8 orient:1 special:29 out:7 shown:7 λmax:2 belgian:1 matrix:67 space:2 gradient:1 furthermore:1 since:27 induces:2 cancels:1 denotes:5 re:13 contained:1 planes:2 mα:18 oscillating:1 reader:3 denoted:1 rm:2 induced:1 rh:133 correct:3 math:29 shows:5 exactly:2 earlier:1 theory:9 gravity:2 state:1 easily:2 inessential:1 abramowitz:1 diagonal:1 standard:7 applications:2 complicated:1 term:2 usual:7 put:4 iai:4 e1:12 anal:2 e3:2 additional:4 βt:9 definition:1 sur:1 ministry:1 could:1 celestijnenlaan:1 ds2:1 turn:1 int:1 flanders:1 place:1 exponentially:1 hence:7 uses:1 crm:1 onto:4 outwards:1 first:11 origin:16 bowick:1 verifies:1 xi:2 xn:19 probability:2 xm:2 bijection:1 meet:1 potentials:2 powerful:1 reflected:1 restrict:1 multiplying:2 done:3 relations:5 directly:3 dissertation:1 bijectivity:1 wkb:1 appl:8 constructing:1 xxxiv:17 manuscript:1 given:28 perturbation:1 checked:1 publication:2 likely:1 similarly:5 introduction:2 leading:4 πi:6 system:3 construct:3 characterize:1 needed:3 assumption:3 zeros:4 fn:1 statement:3 miller:1 airy:15 siam:1 variational:1 final:2 opening:2 gives:1 shifted:4 correlations:1 calculations:3 relationship:2 centered:2 completed:1 continuous:4 contribute:1 newell:6 immediate:3 direct:4 part:19 because:4 review:1 x2:1 natural:1 x1:5 sobolev:1 completes:7 xj:6 oscillate:1 mclaughlin:5 determines:1 sectors:2 characterizations:1 jumps:5 double:5 require:1 rate:1 limiting:13 project:2 computations:4 sweden:1 determined:4 were:1 negatively:1 toward:1 treated:1 distinguished:1 interests:1 sai:6 vector:1 irreducibility:1 generality:2 rewrite:2 sw:3 ann:3 suppl:1 3f:1 spectrum:6 generalization:1 sv:1 already:6 say:4 progr:1 conjugate:1 disjoint:4 seek:2 any:18 exact:1 πkj:1 issue:2 genuine:1 built:2 zero:8 depending:2 check:7 lim:8 self:3 able:5 isolated:1 converges:1 note:15 sciences:1 without:2 lip:2 take:20 rational:2 interior:1 differentiating:1 concern:1 formulas:5 towards:1 fields:2 trace:2 shall:3 4u2:1 measures:3 systems:1 algebraic:1 regular:6 connected:5 ht:11 formulae:1 pair:6 tracy:3 analytically:1 segment:1 class:3 s0:4 laurent:1 bound:1 χt:5 constructed:5 neighborhoods:3 kj:1 clear:3 later:1 stronger:1 kn:14 physica:1 universiteit:1 2nd:1 points:5 verlag:1 exp:2 quadratic:1 hastings:7 vries:1 parametrices:2 fact:12 dover:2 sector:7 nls:1 nlt:2 show:23 random:46 spain:1 chapters:1 focusing:1 miwa:2 planning:1 relation:11 solutions:13 uniform:4 trivial:5 find:14 help:4 completion:1 sj:4 finally:4 based:1 ensembles:32 parameters:1 representation:1 enough:3 universal:1 should:4 ngt:1 analytic:56 only:12 explicitly:8 subsection:8 removable:6 factor:3 integrable:4 circle:1 physics:2 local:9 preliminaries:2 equilibrium:9 continuity:1 do:3 dm:2 establishes:1 notation:3 get:9 ϕt:8 express:1 arch:1 obtain:17 famous:1 cannot:5 negative:2 dx:2 dt:6 reprint:1 represented:1 ds:13 becomes:1 tronqu:2 iw:2 regarding:1 determinants:1 widom:3 conditions:9 arxiv:3 modern:1 yield:1 method:4 supp:9 discs:1 forrester:1 london:1 σf1:2 fixed:1 discussing:1 valid:4 view:6 kernel:29 set:5 computed:1 exists:10 achieved:1 unpublished:1 hα:7 j1:1 j2:1 transferred:1 edition:1 depends:5 result:5 arg:20 close:3 dµ:3 contour:17 subject:1 satisfying:3 µt:9 away:1 µv:9 convex:2 liouville:2 boundaries:1 written:1 future:2 αe:6 jth:1 between:10 si:1 invariant:3 boundary:6 approach:6 across:7 meromorphic:4 program:1 various:1 terms:15 adding:1 spacing:1 alexander:1 attention:2 2qq:2 however:3 lem:1 vanishing:3 cut:2 comm:15 key:1 2n0:4 amer:2 come:1 problem:142 both:15 cos:9 last:2 cot:1 limits:3 similar:11 taking:4 eries:1 according:4 etc:1 connection:9 hω:2 present:3 une:1 σs:26 σr:15 expression:6 finds:1 lenses:1 otherwise:1 among:1 ch:2 cn:1 point:7 appeared:1 overview:1 ca:1 cf:7 ce:1 2i1:1 semiclassical:2 variety:1 pole:6 taylor:2 simply:1 exhibits:1 lagrange:1 polynomial:1 respect:8 factors:1 duits:1 code:1 kernels:3 ensures:2 κw:1 positively:1 transformations:6 second:12 eπi:7 union:3 claeys:3 due:5 been:3 ker:1 attaching:1 defined:19 describes:2 asymptotics:17 basic:1 pj:4 utilizing:1 pn:8 ak:2 define:13 determinant:3 arises:1 general:8 σj:7 2iw:1 schlesinger:2 2ir:2 argument:2 bulk:2 maps:3 observe:3 monogr:1 external:4 c2:22 c1:23 denote:8 spirit:1 those:2 case:47 multi:2 exponential:5 winding:1 means:4 value:4 transformation:5 will:24 near:11 suppose:6 monodromy:15 behavior:53 proc:1 situation:1 dms:1 endpoints:1 conformal:3 study:4 identical:1 unitary:8 existence:4 orientation:6 geometric:1 almost:1 carlson:3 vj:4 ir:2 iu:5 non:1 surface:1 iv:4 ii:32 need:8 reads:1 flaschka:6 properties:6 exterior:1 claimed:1 kyoto:1 ie:2 k0:1 coefficients:5 bleher:3 different:2 descent:11 grant:4 isomonodromy:2 powers:1 make:2 yn:19 expect:1 same:8 clearly:2 princeton:2 saff:1 complex:4 emphasize:3 pauli:1 largest:1 proved:2 finite:2 european:1 disc:5 independent:5 outside:5 indianapolis:2 infinity:7 imply:3 see:44 trivially:1 i2:7 effect:3 hand:7 v1:4 v2:4 v3:5 v4:4 iη0:4 infinite:4 interested:3 identity:2 courant:1 relies:1 lower:6 suffices:2 2gt:4 subsets:1 parametrix:14 makes:2 min:1 well:12 analysis:11 academic:2 edge:31 gambier:2 does:7 components:1 sets:1 entry:2 model:54 g1:2 latter:1 left:8 kawai:1 surveys:1 boutroux:1 txn:1 being:3 resp:2 half:4 solvability:6 rest:2 detail:2 press:4 intervals:4 attraction:1 questions:1 immediately:2 facts:1 multipliers:5 scattering:1 fokas:3 previous:1 letting:2 oriented:8 gioev:1 intersection:3 preparations:1 classification:1 unspecified:1 density:15 similarities:1 characterization:8 except:3 boston:1 simple:3 setting:1 katholieke:1 easy:3 theorem:39 iζ:4 solvable:6 remaining:2 euler:1 real:30 acta:1 around:12 eigenvalue:15 replaced:4 σf:3 posed:1 possible:1 corresponds:2 know:4 insert:1 belgium:1 using:22 bit:1 unique:13 moreover:6 weights:2 meaning:1 loss:2 tail:1 like:3 follows:69 lett:2 mkdv:1 continue:1 steps:3 either:5 arbitrary:2 works:2 continuation:3 essential:2 9n2:1 replacement:1 mathematical:3 i21:2 leuven:4 often:1 namely:1 sequence:1 e2θ:3 some:6 mech:1 cancel:2 lips:7 growth:1 gaudin:1 b1:2 apply:3 proofs:8 matching:2 alternatively:2 ezin:1 umu:1 provided:1 mcleod:7 gα:32 lead:2 sufficiently:1 univ:2 vacuum:1 schr:1 classical:1 providence:2 asking:1 eliminate:1 assuming:3 yields:5 three:3 bessel:1 convenient:1 refer:2 inserting:1 dµt:2 varying:2 denominator:1 indicated:1 uniformly:15 equivalent:1 aj:16 bi:10 bj:5 bk:3 bt:44 eiπ:1 step:7 br:1 substitution:1 venakides:2 imaginary:1 hilbert:21 after:2 takes:5 chapter:9 lens:21 about:1 pointwise:1 working:1 column:5 freedom:1 theorems:7 dependence:2 o:118 2i:4 addition:4 2cn:2 a2:29 fredholm:9 2x1:1 ic2:1 ah1:3 introduced:3 gamma:1 subset:1 sπ:1 transcendents:1 christoffel:1 presence:2 precisely:2 noting:1 dyson:2 obtaining:1 functional:1 nsf:1 copies:1 remarks:3 hermitian:3 right:11 references:1 hubert:1 operator:7 pairs:1 wν:1 dtd:2 methods:1 acknowledgements:1 log:21 weighted:1 ince:1 support:7 there:13 question:2 approximate:1 long:1 start:4 appears:1 borel:1 handbook:1 way:14 ed:1 notices:1 phenomenon:1 analyze:2 was:4 assumes:1 combined:1 function:23 complete:2 form:15 soliton:1 denoting:1 triangular:3 but:8 collected:1 construction:5 comparison:1 p34:1 convergence:1 implies:4 line:19 removed:1 ph:1 commun:1 made:1 compute:2 nonlinearity:1 understood:1 2πi:17 publications:1 inside:2 uq:8 maximum:1 us:2 harnad:2 below:4 ωj:9 limit:13 steepest:11 distribution:3 ix1:1 arno:2 called:1 correspond:1 regimes:1 detailed:1 unfolding:1 takei:1 unmodified:1 constant:14 moore:1 up:2 ai:62 certain:3 abstract:1 describe:4 determinantal:1 q1:1 proves:3 exist:4 periods:1 dζ:6 corresponding:5 education:1 identities:1 proceeds:1 defines:2 200b:1 again:3 functions:17 analyticity:8 fwo:1 no:7 index:3 when:4 vanishes:10 discrete:3 rewriting:2 field:2 other:5 details:3 branch:4 papers:3 department:2 mathematics:3 theor:1 belong:1 nice:1 conclude:3 briefly:1 a11:1 zhou:11 a12:1 models:6 remains:4 problems:11 cω:18 polynomials:11 a1:25 a0:9 a3:17 important:3 bounded:12 a4:5 n1:8 linearization:1 jimbo:2 regime:1 auxiliary:2 assume:8 cauchy:3 interval:8 together:4 korteweg:1 itself:1 implied:2 4j:1 presenting:1 time:1 n0:24 sin:2 n2:31 requires:1 having:3 normalized:6 |
0704.1973.txt |@word rok:1 gs:2 dynamic:1 results:5 leads:3 calculate:1 technique:1 charge:1 under:1 include:1 case:1 fax:1 breathing:1 amplitudes:1 g0:2 very:1 frequencies:1 electron:7 condition:1 vibrational:3 hamiltonian:4 occurs:1 large:1 kondo:9 small:1 smaller:1 oscillation:1 direct:1 veven:1 zero:2 qualitatively:2 odd:13 even:12 anton:1 assisted:2 expressed:1 current:1 method:7 full:1 respectively:1 orbitals:2 mes:1 address:1 appears:1 change:1 obtained:1 antisymmetric:1 institute:1 shift:1 larger:3 himp:1 implementation:2 mravlje:4 implement:1 studies:1 plotted:4 modulates:1 apr:1 marked:2 dmft:1 undergone:1 pannels:2 would:2 distinct:1 quasi:1 occupying:1 classically:1 therefore:1 type:3 more:1 tested:1 hole:1 iii:5 ii:6 account:1 work:1 oscillator:2 fock:1 values:1 thin:1 choi:1 example:1 compare:1 renormalization:2 figure:3 effectively:1 degenerate:1 breaking:1 chemical:1 maps:1 hop:1 gate:2 parameter:1 mat:1 variant:1 faculty:1 types:1 effective:2 whenever:1 grant:1 lines:1 correspond:1 si:3 so:2 allow:1 correlation:1 zef:1 years:1 experiments:1 through:2 suffer:1 group:1 probability:1 chosen:2 interesting:1 degrees:1 systems:1 mail:1 versus:1 non:1 combination:3 band:1 effects:2 instead:1 hall:1 susceptibility:1 february:1 finite:1 university:2 mode:4 found:3 heavy:1 differential:1 energy:4 displacement:9 related:2 cornaglia:1 conductance:6 frequency:1 measure:1 quantum:5 our:1 emerges:1 shown:2 impurity:10 rev:5 mediated:1 rel:1 wick:1 squares:1 ref:1 correct:1 linear:1 retained:1 hence:1 vacua:1 symmetry:5 quasiparticle:1 number:1 channels:3 improvements:1 directly:1 temperature:3 revival:1 system:1 occupancy:1 zitko:1 fermions:1 molecular:2 jamova:1 transistor:1 park:1 took:1 part:2 sign:1 than:1 variational:8 liquid:1 double:1 require:1 submitted:1 matter:1 were:1 departure:2 manner:1 further:1 elsevier:1 depending:2 latter:1 metallic:1 note:1 potential:2 twochannel:1 channel:16 circles:1 molecule:5 preliminary:1 phase:5 precludes:1 class:2 calculated:1 flow:1 electrons:2 holstein:2 physics:2 review:1 dot:1 supported:1 ground:9 based:1 parameters:1 conduction:5 state:9 should:1 only:4 molecules:1 expectation:2 words:1 despite:1 embedded:2 arxiv:1 tuned:1 activity:1 fixed:1 qm:1 modulo:1 electrodes:1 relative:1 see:2 recently:1 techniques:1 interacting:1 phonons:2 away:1 currently:1 symmetric:3 enough:1 correctly:1 between:4 terms:1 vertical:1 however:1 vanishing:1 here:1 key:1 analyzed:1 suppressed:1 both:1 equal:1 experimental:1 minima:1 relevant:1 point:3 corresponds:1 respect:1 addition:1 due:3 screened:3 describes:2 basic:1 ph:1 prototype:1 pl:1 fig:7 dots:1 corresponding:4 nrg:7 balseiro:1 bulk:1 spin:2 present:1 applied:1 pacs:1 ǫn:1 value:1 while:3 behavior:2 tunneling:2 couplings:1 procedure:2 thus:2 couples:2 cond:1 seen:2 vx:1 vanish:1 orbital:3 different:1 author:1 generic:1 same:2 shifts:4 noninteracting:3 several:1 development:1 used:1 numerical:1 upon:1 effect:3 conductors:2 hartree:1 recent:1 modes:2 hopping:7 changes:1 well:2 without:1 consistency:1 position:1 model:10 self:1 left:1 press:1 bandwidth:1 voltage:2 scattering:4 emergence:1 projection:2 preprint:1 density:1 hewson:2 lattice:1 treatment:1 theorem:1 ljubljana:3 grempel:1 match:1 hybridization:2 fluctuating:1 increased:2 term:4 jadranska:1 confined:1 using:1 variants:2 particle:2 reduces:1 δq:5 unstable:1 either:1 valence:1 soft:3 reduced:2 parity:4 ijs:1 transport:2 describing:1 affects:1 does:1 measuring:1 stefan:1 use:2 broken:2 host:1 properties:1 swept:1 meyer:1 sra:1 freedom:1 discussed:1 dependence:1 repulsion:2 consequently:1 cambridge:1 into:2 right:1 references:1 determine:1 operator:3 bosonic:1 additional:2 vodd:2 there:1 anderson:3 low:1 hel:1 was:3 propagator:2 function:2 considerably:1 form:3 but:1 volume:1 considerable:1 coupling:12 consist:1 instructive:1 whether:1 characteristic:2 below:1 fermi:1 fluctuations:5 problem:3 similar:1 regimes:2 defined:2 certain:1 abstract:1 describe:1 single:4 regime:3 functions:1 dotted:1 no:1 dashed:3 when:4 vanishes:1 nx:1 mathematics:1 elements:1 calculating:1 condens:1 models:1 problems:3 important:1 peak:1 matrix:1 jeon:1 auxiliary:1 coulomb:2 curve:1 phonon:9 fact:1 |
0704.1974.txt |@word replacing:2 limited:3 positions:1 looped:1 managed:1 chain:1 maximum:7 series:1 magnetic:14 excellent:2 amplifier:3 focus:1 leads:1 bva:6 manages:1 higher:5 sweep:3 expressions:1 research:1 pts:1 row:1 devoted:1 olshanii:1 zone:2 transferred:1 paris:2 iii:3 technique:1 including:1 presents:1 finally:4 according:1 accomplish:1 stable:3 regal:1 sent:2 applied:2 random:3 already:1 straightforward:1 very:15 frequencies:16 standards:1 agilent:3 wave:4 cutting:1 every:3 should:7 summarized:1 mixing:1 experimentally:1 difference:4 condition:2 induced:1 internally:1 level:5 evaluation:2 presumably:1 developing:1 solution:1 occurs:2 large:6 discrete:1 pasquini:1 small:8 graw:1 application:1 lines:1 still:3 upper:2 smaller:1 force:2 oscillation:2 truncated:1 consistent:1 10f:1 direct:2 pulse:1 approximation:1 rate:21 cost:2 profiles:1 pass:3 implemented:2 fort:1 port:6 quite:1 theory:2 even:4 errors:2 trapping:13 apparatus:1 clock:18 section:14 evaporative:5 3k:1 experiment:16 sur:1 above:2 new:5 seemed:1 acknowledgments:1 contrast:2 full:8 led:1 slower:1 degree:1 communicate:1 error:5 commercial:2 residual:1 ramps:1 atoms:21 ranges:1 growing:1 les:1 possibility:1 groups:1 address:2 directions:1 ratio:1 along:5 sine:5 table:3 appears:1 change:4 extreme:1 obtained:2 great:1 trans:1 zones:1 parameters:2 institute:1 shift:1 changed:1 allows:2 completely:1 commonly:1 implementation:1 periodic:1 resulting:2 procedure:1 usually:2 fourier:1 makes:1 plotted:1 adjustable:4 digitally:1 extra:1 apr:1 manage:1 uger:3 hara:1 resonant:1 brf:6 counts:1 total:1 univ:1 freq:1 linearly:4 hess:2 plot:2 use:4 schumm:3 takes:1 would:4 remains:2 positive:2 france:2 few:7 until:1 memory:16 taken:2 black:1 goldberg:1 manufacturer:3 keeping:1 start:1 more:6 separated:2 attractive:1 sponds:1 gyromagnetic:1 clearly:1 under:2 tested:3 fixed:4 controlling:1 labelled:1 particular:4 actual:1 cases:2 hold:2 producing:2 potential:1 starter:1 must:4 states:1 mg:6 mf:1 word:1 folman:1 hour:1 mb:1 setup:1 des:2 oscillator:6 tuning:3 flight:1 deh:1 itself:3 values:1 adiabaticity:2 ms:7 erc:1 following:3 converts:1 saba:1 example:3 numbers:1 control:3 νt:1 modulation:2 want:1 figure:3 give:2 calculation:1 attribute:1 chip:5 allowed:1 organized:1 purposes:2 νz:8 sample:13 minimum:1 performed:4 slip:1 arise:1 serial:4 axis:2 filter:4 needs:1 requirements:7 varied:2 sit:1 rather:2 divided:1 european:1 ultracold:7 located:1 savard:1 criterion:1 proceeded:1 hop:6 zimmermann:1 gate:2 schmiedmayer:3 circular:1 fr:1 ft:1 description:2 may:10 max:1 perrin:5 after:8 confirmed:1 applications:1 mac:1 produce:1 designed:2 waves:1 account:1 end:8 horizontal:2 choice:2 data:8 efficiently:1 sz:6 sy:6 short:1 effective:4 light:1 spectra:1 explicit:1 yielding:1 ghz:1 lengths:1 maintain:1 so:3 ultimate:1 allow:1 correlation:1 worst:1 sa:5 order:8 turns:1 typical:5 integrated:1 attenuator:4 schwartz:1 developed:1 over:10 move:1 vary:1 villetaneuse:1 produced:2 held:2 thermal:1 experiments:6 pulses:1 helene:1 lasers:2 ttl:3 mentioned:1 cold:7 linewidth:2 avenue:1 its:16 features:3 attenuators:1 ement:1 usb:1 fit:2 chosen:4 dynamic:1 fix:1 pritchard:3 actually:1 better:3 previously:1 pci:1 degrees:2 fig:16 derivative:1 main:4 decades:1 deformation:1 ideal:2 measurement:5 non:2 good:2 motivated:1 university:1 dac:1 prevented:1 incorrectly:1 band:1 reported:1 effects:3 they:1 instead:1 feature:2 rotation:1 mixer:2 february:1 2p:1 verifying:1 always:1 reasonably:1 presented:2 possibilities:1 2f:1 magnitude:2 trap:33 each:9 found:3 universit:1 difficult:2 lorent:3 characterized:1 lasting:1 accumulated:1 domain:2 directly:3 kleppner:1 ee:1 hundred:1 energy:3 improved:2 related:3 group:2 inhomogeneous:1 frequency:137 static:7 yield:1 sketched:2 substantially:1 laboratory:1 operation:1 avoided:1 eq:2 shannon:2 out:2 ethernet:1 shown:4 reducing:1 100k:2 network:2 space:1 quality:2 since:1 crucial:1 zas:2 increase:4 specifications:4 rf:88 sml:2 dominated:1 hill:1 rel:2 illustrate:2 issue:1 sacrifice:2 hardware:1 gehm:1 sbr:1 temporal:1 linear:9 personal:1 differ:1 free:1 standard:2 measurable:1 reason:1 york:1 mrtn:1 byte:1 generate:4 card:1 care:1 training:2 interaction:3 digitization:3 language:1 geometry:1 starts:1 could:2 keep:1 motion:2 turn:1 length:7 10mhz:1 period:1 exponentially:1 circuit:1 transfer:2 xilinx:1 aubin:1 first:15 size:4 indebted:1 major:1 initial:1 substate:1 probability:1 10k:2 number:11 improvements:1 done:1 fast:1 proposing:1 reached:1 array:2 precisely:1 electronic:1 synthesizing:1 computed:1 lesanovsky:1 manuscript:1 given:13 temperature:15 quadrupolar:1 introduction:1 eqs:1 system:1 their:2 cooling:7 intermediate:1 master:3 amplifiers:1 programmable:5 1k:2 scheme:3 bits:5 ranging:3 physicists:2 agility:1 configure:1 atomes:1 exactly:3 interesting:1 lower:6 transverse:1 larger:8 part:1 paris13:1 kept:1 believe:1 appreciated:1 center:1 wide:1 kind:1 polarized:4 third:1 bec:5 require:1 second:10 tunable:2 final:9 inversely:1 determined:1 garraway:2 amplitude:27 were:2 wildermuth:1 entries:1 providing:1 spurs:1 truncating:1 exhibit:1 function:5 rad:2 loaded:2 dynamically:1 spectrum:3 raw:1 say:1 width:1 doyle:1 manner:1 need:1 seen:1 any:6 seminar:1 indeed:2 misaligned:1 angle:1 form:1 min:1 efficient:2 latter:1 responsible:2 physique:2 gravity:1 mechanism:1 oriented:1 instance:3 high:6 internal:1 best:1 ramping:1 performance:7 techniques:1 switching:5 channel:1 hyperfine:2 circles:4 spectral:5 cnrs:2 continuous:2 though:1 ieee:2 inconvenience:1 compress:1 most:5 optimized:2 significant:2 successive:2 phase:49 coil:1 marie:1 measured:2 class:1 denschlag:1 cause:1 observation:1 performances:3 average:1 stronger:2 mod:2 curie:1 proceedings:1 points:6 inaccuracies:1 typically:6 clocked:3 fact:4 gain:2 precise:1 thomas:1 text:1 atom:13 scattered:2 ticknor:1 radio:7 threshold:1 colombe:4 make:2 access:1 unther:1 based:12 ellipsoid:2 hops:6 situations:1 writes:1 specified:1 enough:2 supported:1 than:12 beat:6 1hz:3 only:5 generators:1 molecules:1 factor:3 nyquist:1 truncation:3 achieve:1 fft:5 handle:1 oscilloscope:1 spurious:1 de:6 db:32 dc:2 fc:9 obtain:1 made:2 dz:2 scripts:1 despite:1 report:1 during:11 reprint:2 chips:2 ds:4 layout:1 prime:1 stability:2 regarding:1 reading:1 bar:1 settings:1 fields:3 arxiv:1 bytes:3 shape:1 factorization:1 dissociating:1 paper:3 architecture:1 double:1 through:10 cycles:1 andersson:2 wrote:1 voltage:3 magic:10 requirement:2 set:8 oven:1 swept:1 national:1 testing:1 flip:1 relative:14 depends:3 computer:1 result:1 corre:1 operated:1 close:3 limiting:1 kinetic:1 analog:8 reproduced:1 recording:1 practice:1 satisfying:2 record:1 subsequent:1 away:1 ensures:1 rhode:1 µs:4 importance:1 state:2 unable:1 µk:10 between:16 tens:2 boundary:1 eros:1 conditions:1 recently:1 creating:2 vertical:8 nature:2 initially:1 sram:1 spartan:2 however:6 analyzer:2 white:2 concentrate:1 here:1 key:2 fluctuations:3 analyzed:1 bose:2 suppressed:1 lopez:1 improve:2 concentrated:1 both:5 cos:2 ile:1 last:6 2n:1 configuring:1 desired:4 region:1 density:4 ramp:28 heating:29 contract:3 quantization:1 sensitive:1 jo:1 figures:1 dated:1 logic:2 adapted:1 modification:1 experimental:4 load:1 among:1 adjusted:2 relevant:1 jitter:1 necessary:2 cl:1 multiplier:1 harmonic:2 community:1 sampling:4 dimensional:1 maintained:2 written:3 simply:1 decreases:1 butcher:1 cancel:1 associated:1 allocated:1 ad:3 conference:1 unusual:1 strong:2 described:4 frf:14 geometries:2 instrument:1 addition:3 prentiss:1 due:10 been:1 quickly:1 pc:5 groth:1 much:1 slowly:1 courteille:1 interest:1 rates:1 txt:1 ph:2 deduced:3 board:19 blanc:1 field:19 direction:5 arises:3 controlled:2 easy:1 hprn:1 observable:2 egion:1 concerning:1 recherche:1 gap:1 gao:1 ordering:1 confinement:2 external:5 installation:1 denote:1 spin:6 present:8 case:10 exponential:1 pacs:1 indefinitely:1 plain:1 value:8 will:6 accumulator:2 while:3 cvi:1 situation:1 ultra:3 characterizing:1 engineers:1 opt:4 losses:6 henkel:1 europhys:1 averaging:2 thus:6 surface:3 iv:5 ii:4 reads:1 sudden:5 confining:3 lifetime:5 df:1 kochanski:1 technology:5 mercier:2 around:1 binary:1 different:5 metrology:1 open:2 dilate:1 perform:2 corresponds:8 lett:4 same:7 linked:4 member:1 when:3 drawback:1 largest:1 units:1 filtered:1 several:3 infer:1 rad2:7 used:14 see:4 forced:2 greytak:1 laboratoire:2 receiver:1 effect:6 kit:3 driven:2 amplified:2 user:2 potentials:1 reference:11 built:1 relies:1 safe:1 off:1 traps:4 ampl:1 expression:1 depending:1 well:5 analysis:1 without:2 feshbach:1 components:1 dashed:1 position:5 parametric:3 whereas:1 gates:2 stringent:1 decimal:1 less:1 being:4 able:2 observed:4 half:1 starting:1 naturally:1 sources:4 bandwidth:2 clocks:1 atomic:21 integer:6 followed:1 rotates:1 speed:1 previous:2 adv:1 note:8 loading:3 generator:4 conclusions:1 cornell:1 agile:2 photons:1 point:3 fitting:1 bench:3 signals:1 source:13 setting:1 plateau:6 samples:2 theorem:1 input:3 apart:1 lpl:1 remaining:5 match:1 ramped:2 identical:3 increased:5 rev:10 easily:2 microcontroller:1 results:13 possible:3 psd:16 confines:1 increases:3 five:1 mol:2 confined:1 using:5 bit:6 ni:1 loss:2 imposed:1 like:1 lost:1 follows:4 signal:20 adiabatic:1 extremely:1 heart:1 benefit:2 mhz:50 either:2 arbitrary:3 translated:2 output:20 kr:3 reduced:1 making:1 fulfil:2 exceed:1 rubidium:4 often:1 sequence:5 sends:1 bohn:1 successfully:2 some:3 ct:1 another:1 escape:1 duration:6 lineshape:1 process:1 lorentzian:1 was:21 delivered:1 scale:2 dimensions:1 hofferberth:2 bottom:2 dds:34 resonances:1 ability:2 measurements:4 recorded:5 integration:2 whole:2 waveform:1 does:1 cloud:8 assuming:2 steps:6 beating:1 proc:3 restoring:1 wellsuited:1 noise:62 power:4 seconds:5 reach:1 oscillating:1 combines:1 expansion:1 δf:3 step:10 although:1 plots:1 properties:2 demarco:1 stage:5 comparison:3 thywissen:1 central:1 clocking:1 extension:1 freedom:2 tuned:2 discussed:2 o:6 essential:1 le:1 range:4 carrier:1 practicable:1 observe:1 slightly:1 software:4 own:1 presence:1 orders:1 into:7 within:4 three:1 device:26 because:1 einstein:2 proportional:3 mrad:1 next:2 galil:1 institut:2 devices:1 jin:1 synthesized:2 assumed:1 there:2 transform:1 gases:1 noticed:1 dispersion:2 synthesizer:13 joseph:1 low:11 fraction:2 ballistic:1 bubble:3 ten:1 synthesis:7 hz:42 fpga:13 hp:1 criteria:1 but:1 anisotropic:1 repeated:4 construction:2 transmitter:1 hm:1 ioffe:2 encoded:2 line:6 kraft:1 especially:1 ωz:1 converter:2 stanford:3 wieman:1 variations:1 up:9 us:3 theoretical:1 crystal:1 below:6 owing:1 limit:2 critical:1 thermalization:1 demonstrate:1 distribution:1 semiclass:1 similar:2 calculated:2 strongly:1 khz:8 constant:2 uid:1 classic:2 defined:1 universal:1 describe:1 general:1 quantum:1 single:3 asynchronous:2 file:2 our:24 corresponding:3 work:1 vengalattore:1 again:1 compared:1 nm:1 antenna:1 no:8 dressed:6 νrf:6 generally:1 δz:3 other:4 lookup:1 holding:4 digital:8 dipolar:3 shin:1 confine:1 conclusion:1 poor:1 ketterle:2 quartz:3 kinds:1 excitation:4 provided:2 sided:2 generated:1 important:1 allowing:1 studied:1 variable:1 yields:2 diamonds:2 sandberg:1 condensation:3 coupling:2 agh:1 home:1 physics:4 dτ:1 umr:1 curve:2 together:1 equivalently:1 depth:2 ensuring:1 mass:1 fitted:2 time:24 international:1 resolution:8 basically:1 |
0704.1975.txt |@word concept:1 partial:25 consider:2 gp:4 induces:1 bull:1 dynamic:1 results:10 mild:1 proposition:32 entropy:1 consists:2 follow:1 expressions:1 gl:9 relationships:2 whose:4 isometric:2 c0:1 depend:6 tx:10 tv:3 assigning:1 segments:4 technique:1 γv:2 tp:2 γk:3 indicate:1 manifolds:9 under:5 analogous:3 billard:1 conjecture:1 comm:1 straightforward:1 splitting:1 corollary:38 endpoint:1 every:16 nonminimal:1 specific:1 difference:1 convexity:3 partitions:3 dim:7 gov:1 obvious:1 exponential:5 positions:1 exponentiating:1 t1:1 deals:2 discrete:8 commute:1 phase:17 interpolating:1 guiding:1 recall:1 warszawa:1 rk:6 optics:1 ρk:3 upper:5 smaller:1 says:4 zi:1 foliating:1 σa2:1 estimates:4 cosh:3 zero:5 fiber:1 perspective:1 gn:4 theo:2 further:1 dynamics:14 galperin:1 substitute:1 mπ:1 established:1 what:3 sub:1 iterating:1 equivariance:1 complexities:25 trivial:1 section:59 pull:1 near:1 current:1 version:2 goes:3 sup:1 new:2 construction:1 increasing:1 method:2 satisfy:7 compact:5 outgoing:1 full:8 degree:3 exchange:1 respectively:10 never:1 preserves:1 here:3 atoms:1 desired:1 tangent:7 illustration:1 groups:2 address:1 directions:5 along:2 strong:1 respect:5 change:2 differential:1 obtained:1 unfoldings:3 michal:13 endpoints:3 2by:1 suitably:1 technical:1 endow:1 study:6 studied:2 allows:2 denominator:1 round:1 focusing:1 periodic:1 survey:2 des:1 graph:10 domains:1 specialize:1 makes:1 involves:1 via:1 projection:4 family:4 apr:1 geodesics:2 replace:1 uger:1 equivariant:1 rationnels:1 apply:6 counts:2 total:1 establish:3 unit:3 theory:1 tn:15 use:23 lemma:15 remains:1 positive:6 h0:7 contains:2 bundles:2 negative:2 next:1 distinct:2 few:1 call:1 therefore:1 consecutive:3 type:2 possible:1 more:3 preserving:1 formally:2 definition:4 becomes:2 expose:1 equipped:1 βv:2 curvature:9 instrumental:1 appendix:2 everywhere:1 labelled:1 particular:7 known:3 complexit:1 cases:9 hold:6 iii:1 potential:1 discontinuously:1 valued:1 defines:2 viewed:2 integrating:1 local:5 equation:14 work:3 rθ:16 trajectories:1 remain:2 polyhedral:1 values:1 troubetzkoy:3 following:8 nonsingular:3 averages:3 example:2 proof:35 f0:2 claim:17 compare:1 weaker:1 figure:6 fibration:3 confused:1 pieces:1 sample:2 sphere:1 assumptions:12 numbers:3 arise:1 mail:1 counting:47 normalize:1 βd:2 respective:3 sr:2 end:1 notation:7 s2:8 discussion:2 holds:2 formulate:1 regions:1 how:2 extended:1 gcr:3 pair:3 forest:1 pure:6 syst:2 tile:3 instead:2 parameter:7 sin:4 circular:1 fp:4 map:27 fr:9 fs:3 irrational:2 singular:18 may:6 max:1 after:3 singularities:8 orbits:30 applications:7 plane:3 inst:1 coming:1 date:1 law:1 data:9 parallel:1 lifting:2 times:2 natural:4 dynamical:5 whenever:1 pullback:2 explicit:2 yielding:1 element:2 diffeomorphism:3 complexity:48 branched:2 so:1 allow:1 verify:1 definitions:1 sa:1 order:4 wind:1 acts:2 subsections:3 xk:2 fθ:2 indeed:1 over:2 satisfied:3 interpreted:1 paper:2 through:1 zex:1 integrands:1 its:17 suites:1 derive:2 outer:1 fit:1 directional:4 apex:1 inward:1 coxeter:5 coordinates:1 edge:2 better:1 estimating:2 systems:5 gtx:4 gty:1 main:3 defining:2 setting:15 eugene:13 correspondence:1 them:7 adjacent:3 janeiro:1 obtaining:1 material:6 katok:1 introduce:5 geodesic:25 framework:8 billiard:86 preservation:1 they:10 now:11 discuss:3 february:1 finite:14 equality:1 2q:2 corners:11 university:1 drop:1 appropriate:2 establishing:1 sufficiently:3 iff:8 inequality:7 l2:7 l0:2 each:5 instability:1 2n:4 side:8 s1:1 mean:2 subset:4 weighted:2 directly:1 weight:6 series:2 product:1 related:2 operator:2 investigated:1 poincare:1 combining:1 separating:1 our:24 mapping:4 special:5 out:2 large:8 space:28 res:1 furthermore:1 since:5 crucial:1 rz:13 angular:6 combinatorial:1 contained:2 rational:9 reader:2 formula:3 rn:2 induced:1 suffices:7 reg:1 math:6 shows:1 earlier:1 linear:2 recurrence:1 associate:1 given:1 quite:2 geared:2 approaches:1 base:11 dx:1 latest:1 put:1 estimate:3 inductive:1 generate:1 repeat:2 advance:1 pairs:3 r1:3 r2:27 phrases:1 nonnegative:2 counterpart:3 turn:1 length:12 iso:1 removing:2 hence:6 quadratically:1 transversality:4 onto:2 first:10 polyhedron:1 inductively:1 singleton:2 xi:2 xn:10 xm:9 relate:1 variables:2 coding:4 number:13 rank:1 fits:1 construct:2 another:1 xp:2 open:3 polygons:21 size:2 differ:1 derives:1 hyperbolic:4 introduction:2 1x:3 system:4 relations:1 their:5 assumption:1 rates:1 constants:1 statement:1 convention:1 brevity:1 scheme:2 structures:1 observations:1 m0:3 relationship:1 bouncing:1 moscow:1 continuous:17 subcone:1 foliation:1 reflecting:1 because:1 x2:1 x3:1 x1:3 than:1 coefficients:1 wide:1 kind:1 expx:1 target:1 sections:2 anticipate:1 expp:3 tree:1 depends:1 modelled:1 lim:4 determined:4 2kπ:1 expm:1 lemmas:1 expc:3 visited:1 rate:1 minus:2 hz:13 motivation:1 generality:1 lines:1 ann:2 pass:1 measure:23 argument:5 curves:1 say:5 conjugate:1 need:3 any:27 contents:1 sandwiched:1 angle:11 verbatim:1 depending:1 efficient:1 convenient:1 latter:4 billiards:13 isolated:1 converges:1 oriented:2 instance:2 emphasis:1 concerns:1 generalized:1 interior:4 canonical:1 analogs:1 formulas:2 begin:1 towards:1 submanifold:4 mimick:1 measures:4 reach:1 gθ:7 simplify:1 regular:8 connected:9 immediate:1 claims:3 device:1 measured:1 class:3 branching:1 invertible:2 considered:1 average:4 partition:2 flow:27 vertices:8 physica:1 countable:7 graphs:1 points:23 reflections:4 torun:2 χn:4 χl:4 typically:1 notion:2 fact:2 precise:1 isometry:2 tabachnikov:1 ending:2 basic:1 implying:1 radii:1 spaces:2 corner:9 d2:2 line:1 d1:2 polygonal:16 indicator:2 based:7 parameters:4 situations:2 representation:1 boundary:3 state:1 topological:2 antipodal:1 analytic:1 only:4 bases:1 subsection:1 gods:6 identification:1 commensurable:1 γn:6 continuity:2 do:5 tiles:3 dm:6 sense:2 above:4 viewpoint:2 exceptional:2 davis:1 beams:2 de:2 expy:1 beam:3 dyn:3 cannot:1 dz:18 tiled:1 words:2 dy:5 dv:1 during:2 dt:5 ds:7 runs:1 contributes:2 transversal:7 densities:1 covering:9 conditions:2 arxiv:1 modern:1 arclength:2 yield:7 consisting:1 investigate:1 cf:2 common:3 contain:1 nondecreasing:2 cycles:1 interiors:1 view:4 riemannian:9 body:1 set:52 exists:4 generally:4 erg:2 up:2 plausible:1 see:23 individual:2 result:1 fail:1 dµ:2 theoretic:1 satisfies:1 analog:1 surfaces:4 αp:1 fails:3 satisfying:5 boundaries:3 written:1 µn:7 various:1 closed:6 between:9 αi:2 invariant:1 geometric:7 σb:2 approach:2 across:2 ends:1 restricting:1 terms:2 extend:3 wo:1 confusion:1 complement:4 wl:1 however:2 hypothesis:1 key:1 distinguish:1 group:5 understanding:1 differentiability:1 topology:1 both:6 cos:1 kr:1 last:1 limits:1 many:1 σa:3 equal:1 rams:14 etc:14 pl:2 faces:1 parametrisations:1 spare:1 comes:1 otherwise:1 arbitrarily:5 fullfilled:1 relevant:2 cn:1 cl:2 overview:1 corresponds:4 except:1 dimensional:4 alone:1 simply:4 polynomial:1 table:4 second:4 specializing:1 light:2 transformations:7 puts:1 piecewise:19 addition:1 locally:1 due:1 been:2 aspherical:1 treat:1 certain:1 ph:5 pn:4 abstract:1 fk:4 define:7 direction:20 tϕ:1 corresponding:8 quantities:2 sufficient:1 theorem:9 gutkin:20 remark:7 spectrum:1 maps:9 coherent:1 lift:1 yk:1 angles:5 covered:1 c2:2 c1:3 denote:15 θex:3 former:1 present:2 case:20 replaces:1 splits:2 subsets:4 umk:1 leave:1 straight:1 transformation:4 will:34 euclidean:17 while:1 suppose:4 applies:1 situation:3 properly:1 property:3 procedure:1 inherits:1 identical:1 planar:8 vectors:2 cell:2 almost:25 endowed:2 metric:2 thus:8 non:3 surface:4 ii:2 flatness:1 regularity:1 il:3 triple:1 turns:1 leaving:1 conical:1 par:1 fibers:8 lengths:3 formulations:1 cross:2 same:5 tells:2 liftings:2 complex:3 arguments:2 several:3 grows:1 isometries:3 literature:2 infinity:2 cubic:1 numerical:1 maxx:1 flows:13 hand:6 action:3 edges:2 impan:2 uni:1 infinite:3 identity:1 mappings:7 implements:1 lower:1 fourier:1 off:1 reflection:1 cardinalities:1 poland:2 obstacles:2 well:7 subexponential:3 without:2 components:3 sets:15 position:24 arising:1 dimension:2 left:4 spherical:5 efinies:1 gdr:5 gds:10 manifold:5 less:1 when:10 resp:12 obtain:11 actions:2 identify:4 using:3 speed:1 multiples:1 homotopic:1 diffeomorphisms:3 lebesgue:12 density:2 point:12 parametrization:1 tε:1 other:6 extends:3 treatment:1 propositions:5 pitman:1 remaining:2 opt:6 hasselblatt:1 around:3 evaluate:1 breaks:1 emanating:7 period:1 possibly:1 background:1 press:1 integer:2 unique:3 moreover:2 betti:1 pgh:1 imposed:1 like:1 arcs:1 follows:16 manifest:1 separately:2 steps:1 either:3 integrals:2 arbitrary:13 served:1 tower:3 pointwise:1 reduced:1 masur:1 classes:1 reaches:1 traced:1 classical:2 sequence:5 absolutely:1 conditional:1 some:1 back:1 emanate:1 identified:1 growth:6 equivalent:1 convex:24 proper:1 cassaigne:1 indirect:1 proofs:2 mat:1 provided:1 pex:1 dimensions:1 lead:1 stronger:1 broad:2 2f:1 ak:3 esx:1 rio:1 does:6 exposition:1 yields:4 tk:2 minimal:1 refer:2 replaced:1 meanings:1 power:1 problems:1 bn:15 l1:4 continuing:1 perpendicular:1 bj:1 interval:1 bt:15 cone:7 bundle:1 br:1 concreteness:1 relating:2 properties:2 stage:1 comparison:1 about:4 valence:1 most:5 prove:7 discussed:1 o:27 compatible:3 union:3 range:1 plus:1 cl2:1 dtdθ:1 eεt:1 differentiable:4 soc:1 cambridge:2 statements:1 inclusion:1 h2:9 into:6 h1:11 integral:3 bound:6 locus:1 remarks:2 pullbacks:1 right:3 references:1 hubert:2 elementary:1 proportional:1 rely:1 log:9 val:17 area:5 segment:4 indispensable:1 there:33 question:3 start:1 accordingly:1 quadratic:2 way:1 forward:1 formed:1 analyze:1 was:1 combined:1 function:37 form:1 ean:1 hr:5 epsilon:1 pe:8 gz:3 but:2 principles:2 volume:3 hi:2 pg:14 optical:4 eat:1 directed:1 iterates:2 partitioning:1 compute:2 ux:2 versions:2 stabilizes:1 cells:2 smooth:1 bounds:16 us:5 below:4 impa:2 limit:1 submanifolds:2 supn:3 coverings:2 nonconvex:1 similar:1 homotopy:2 ex:6 unfolding:7 brasil:1 later:1 constant:7 defined:10 coincides:2 universal:7 describe:1 condition:11 remove:1 general:13 single:1 dν:4 exist:5 dθ:20 relates:1 inf:1 tiling:7 commuting:1 check:1 dα:1 emanates:1 again:2 functions:35 nk:3 nl:1 polygon:40 weakened:2 no:2 nd:2 detail:1 disjoint:1 valid:6 details:7 np:2 nonincreasing:1 coherence:1 polar:1 briefly:2 elements:5 kinds:1 treatments:1 preceding:13 vertex:8 visits:2 generated:3 journey:1 bounded:1 dense:1 sides:7 structure:10 freely:1 sinh:1 dϕ:1 implies:2 assume:5 rs:4 curve:3 orbit:13 equivalently:2 basepoint:1 time:8 n0:9 n1:6 n2:5 n3:1 starting:4 once:1 |
0704.1976.txt |@word limited:3 σt2:1 consists:1 payoff:2 calculate:2 γs:1 γt:2 dπt:3 under:11 ontological:1 xtk:1 xtj:2 σtt:1 updated:1 risk:13 affect:2 school:2 xt1:2 solution:2 convenience:2 vector:1 succession:1 martingale:7 consistent:3 estimates:2 likely:2 α2s:3 σkα:1 even:4 established:2 errors:1 filtration:36 preferences:4 specification:4 xvii:2 above:10 new:14 increasing:1 ated:1 jarrow:4 here:18 represented:6 path:1 obtained:12 derivable:1 suitably:3 credit:6 krishnan:2 buckley:1 suitable:1 changes:8 bayes:3 linearly:1 derivatives:2 would:3 noting:1 call:14 asset:92 strike:2 type:5 until:2 skewness:1 aware:1 berlin:3 xtm:2 circumstances:1 ert:1 springer:3 pursue:1 setup:3 mn:3 mk:7 mj:3 deficiencies:1 example:13 defer:1 indicated:2 give:2 cited:1 conjecture:1 indicates:1 want:1 guarantee:1 end:1 hoc:6 verify:3 feature:2 how:4 transforming:1 after:3 hence:11 destined:1 law:1 constants:1 attempt:1 third:1 correlation:7 acknowledges:1 order:4 restriction:1 interpretation:4 over:4 vary:1 satisfied:3 london:5 thesis:1 japan:1 satisfies:4 before:6 fix:2 expectations:2 writing:2 condition:6 wales:1 hidden:1 fin:2 versus:1 eventually:1 coffee:2 affected:1 effects:1 they:3 bank:1 structural:1 represents:10 calibrating:1 reasonably:1 each:23 side:3 bond:10 financial:16 meets:1 used:9 trading:1 combining:1 laboratory:1 rt:58 xαk:1 driving:2 rs:6 dst:17 content:1 re:5 at2:1 independence:2 linear:1 associate:4 little:2 free:3 standard:16 admits:2 formation:2 stochasticity:1 estimate:2 already:2 thereof:1 relations:1 another:2 illustrate:1 similarly:3 xii:2 needed:1 rates:3 too:2 xiv:5 xix:3 uhlmann:1 zero:10 matter:1 contrasted:1 bridge:37 mind:5 manner:1 βst:11 seen:2 seminar:1 relatively:1 convenient:1 isolated:1 causing:1 though:2 denominator:2 birkh:3 simplify:2 involving:1 acknowledgements:1 observation:3 xtα:3 flow:79 inferred:1 points:1 principle:1 lph:1 section:28 incomplete:3 dover:1 confront:1 meetings:1 random:43 kruger:1 substituting:5 d0:4 d1:2 proposed:2 implementation:1 guidance:1 appreciated:1 rich:1 do:2 establishes:4 de:1 db:1 dz:9 dx:42 dy:4 report:2 dt:117 du:35 ds:98 dq:1 public:1 bad:2 blackwell:1 coefficient:3 decides:3 emergent:3 depends:5 projections:1 discussions:1 best:1 said:1 exponent:3 xvi:2 karatzas:2 simplest:1 approach:8 terms:21 nature:6 however:4 wu:4 wt:36 downgrade:1 news:1 improve:1 0t:12 cov:2 variance:12 adapted:8 minimises:1 royal:1 2nd:2 κt:3 written:9 polynomial:1 speak:1 conference:2 nomura:1 basis:1 simplification:2 three:1 been:7 quickly:1 trigger:1 interest:2 basic:2 expected:1 flexible:1 ann:2 concerning:9 worked:3 applied:1 near:1 suppose:1 viii:4 applies:1 stopping:2 property:5 procedure:1 ix:2 iv:4 ii:6 containing:1 recursion:1 make:6 unnormalised:1 any:7 γtt:9 complex:2 split:1 advances:1 several:4 grows:1 european:6 independent:28 emphasise:1 a2u:1 numerical:1 hand:6 auser:3 scenario:2 kyle:1 simulated:1 quantitative:1 investments:1 left:3 just:2 decreasing:1 newton:1 assigned:1 identify:1 thanks:1 facts:1 canton:1 yet:1 impending:3 previous:3 enters:2 candidate:1 infinitely:1 regarded:6 character:1 initialise:2 occurring:9 dφt:2 possible:6 background:1 progresses:1 apart:1 appearing:4 specific:8 arbitrary:2 www:1 right:8 deal:1 truncated:1 dear:1 ξtt:11 securities:2 comments:1 everything:1 exposition:1 night:1 translated:1 substitution:2 properties:3 takes:1 πtt:6 numerator:1 o:3 πtn:2 ensure:1 dilip:1 horizon:3 efforts:1 slightly:2 soc:1 markovian:1 pays:11 obtaining:1 reducing:1 suffice:1 initial:9 payment:2 joseph:2 way:10 m1:1 was:1 therefore:13 form:37 analyse:3 bern:1 true:7 analyst:1 dordrecht:1 simplifying:2 attaches:1 examples:2 adopt:2 abstract:1 zeng:1 dξ:1 xiii:4 accounting:1 distributions:3 constructed:1 no:5 whereas:1 generally:3 vanishes:1 reality:1 setting:4 role:3 volatilities:2 models:11 ξs:16 ξt:73 ξu:2 variable:28 dφ:1 interval:8 governed:1 time:51 concept:1 heriot:1 remarkable:1 brownian:65 focus:1 leads:1 roy:1 πt1:2 grateful:1 remarkably:1 inverse:2 depend:4 technique:2 environment:1 summarised:2 meister:1 analogous:2 hurd:1 ωt2:2 henderson:1 advantage:1 orthogonal:1 choice:4 liability:3 heston:3 prespecified:6 presented:3 turns:2 guo:2 item:1 milgrom:1 work:6 measurable:7 generalisations:2 substitute:3 adds:1 appear:1 foregoing:1 sequential:1 goes:3 paradoxical:1 satisfy:1 honour:1 along:2 appears:1 change:9 2bz:1 discount:6 institute:1 bucy:2 usually:2 studies:2 f0:1 useful:4 f1:1 compare:1 modifying:1 flexibility:1 market:100 additive:1 working:3 positive:2 insider:3 explicitly:3 renormalisation:1 criteria:2 bielecki:1 introducing:3 virtue:4 cases:2 kurtosis:1 capturing:1 insights:2 tokyo:2 scholes:5 values:4 following:16 making:6 stimulating:1 december:6 arise:1 agent:5 dxn:2 dxm:1 performed:2 occur:2 2ls:1 s0:5 write:5 pure:1 familiar:1 plus:1 absolute:2 parameter:7 economy:1 product:4 may:7 dx1:3 applications:7 date:8 revealed:8 mao:1 goal:1 natural:8 dynamical:9 explicit:4 st:68 so:9 representation:5 typical:1 noteworthy:1 indeed:4 course:1 motions:1 hazewinkel:1 derive:4 thank:1 acknowledge:1 interesting:2 offers:2 main:1 non:2 finance:4 introduce:5 identically:1 arriving:1 now:10 developments:1 term:13 drop:3 vt2:1 x11:2 bridging:1 ed:2 gaussian:11 eb:13 ex:5 ez:3 eq:23 emerges:2 shown:1 factors:29 furthermore:3 increase:3 contained:2 investigation:2 formula:18 shows:7 earlier:4 theory:10 mechanisms:1 ors:1 possibility:1 quite:1 advantages:1 ork:1 remainder:1 βt:1 derivation:2 language:1 motion:29 turn:3 place:1 undesirable:1 shiryaev:2 think:1 first:22 origin:4 xk:1 intuition:2 xi:2 xn:5 xm:4 variables:5 xe:1 xz:1 xx:2 xy:4 long:2 directly:2 xp:4 xv:3 xt:5 given:61 indicate:1 convention:3 white:1 structures:6 gives:2 continuous:5 x2:30 eliminated:1 x1:2 representing:3 than:8 accordance:2 require:3 modelled:7 future:14 were:2 pre:3 gathering:1 dynamically:1 argument:1 say:9 recover:3 their:5 efficient:1 converges:1 note:16 take:6 begin:2 multiple:5 normal:3 price:106 enter:1 fujisaki:2 paid:8 formulae:3 contrasts:1 america:1 inserted:1 surprising:1 considered:2 later:3 typically:2 festschrift:1 show:9 fifth:1 behind:1 only:3 going:1 black:6 equipped:1 legendre:1 get:2 designated:2 expectation:24 affecting:1 cannot:2 differentiating:1 kernel:3 college:4 differentiable:1 αs:2 satisfying:1 definite:1 functionals:1 enough:2 between:5 evidently:1 geometric:5 august:2 concentrate:1 article:1 dates:10 perceptions:1 tractable:4 many:1 according:3 σx:2 σs:52 expression:26 σv:3 σu:14 σt:12 generalisation:1 filtering:8 period:1 spans:1 constant:9 considering:3 enable:1 offered:1 observe:2 bayesian:1 andrea:2 irrelevant:2 spirit:1 those:1 case:31 cash:82 transactions:2 situation:10 unsatisfactory:2 movements:5 different:6 verified:2 same:7 events:1 status:1 extended:1 drives:2 allocation:1 αs2:1 driven:3 changing:1 without:2 solve:1 comes:2 components:1 model:35 being:7 when:9 differentiation:2 captured:1 thinking:1 conclude:5 seems:1 instrument:1 treatment:1 real:2 aspects:2 marcus:2 rules:1 decomposed:1 kallianpur:4 using:4 reduces:2 integrals:2 output:1 tower:3 xviii:2 reduced:1 reidel:1 intertemporal:1 madrid:1 conditional:43 deduce:10 specified:4 generates:2 provided:1 2xy:1 critical:2 decomposition:1 provides:2 refer:1 equivalent:1 references:2 generated:9 practical:2 must:2 dzt:1 act:1 mean:10 allowing:1 cambridge:2 coupon:2 instruments:2 numerically:1 ηt:7 accounts:1 microstructure:3 determine:5 elementary:3 lando:2 formulate:1 assumed:10 strictly:1 there:10 start:3 low:1 duffie:2 assumes:1 complete:3 regard:4 sophisticated:1 correlated:2 october:1 default:3 multiplicity:3 ωt:5 assume:21 smoothing:1 ac:3 taylor:1 ad:6 am:2 general:16 au:5 together:1 valid:1 mathematics:7 yor:3 drift:4 important:4 bounded:2 massachusetts:1 building:1 assets:18 appl:1 starting:3 original:2 represent:2 consider:25 pointing:1 splitting:1 follow:1 expressions:2 ptt:31 decisions:3 causes:1 tt:8 tn:2 defaultable:1 tk:33 stochastic:26 sound:1 straightforward:5 very:3 activated:1 strand:1 t1:1 generalises:2 eωt:3 rate:23 perspective:2 further:1 investment:1 what:9 nonlinear:5 sum:1 version:2 attitudes:1 method:3 movement:2 b2u:1 component:2 behaviour:3 equations:3 allows:2 amount:2 published:1 options:5 via:1 family:1 vii:2 establish:6 select:1 proceed:7 distinct:1 revelation:2 contains:2 finally:3 taken:3 eyz:1 markets:9 achieving:1 more:31 door:1 company:1 tested:1 particular:12 known:5 recall:2 equation:12 remain:1 spontaneous:1 νu:8 νt:16 f2:1 f3:1 νs:28 stated:3 share:6 sense:4 information:132 respective:1 pistorius:1 rather:5 equities:1 earnings:1 influences:1 portfolios:2 simplicity:4 ft:44 derived:6 shreve:2 reflect:1 participant:2 fk:7 short:4 specifying:2 banks:1 ito:4 essence:1 trade:1 paper:12 existence:4 y2:1 its:12 style:5 estudios:1 absence:1 systems:2 isaac:1 might:5 propose:2 framework:23 motivates:1 yu:4 association:1 2t:3 easily:1 fully:1 infer:2 repeating:1 initialised:3 weight:1 osaka:1 idea:7 hara:2 expect:1 organised:1 beyond:2 insurance:1 discrete:2 since:12 denotes:7 participants:12 denoted:1 ftk:1 induced:3 issue:2 interscience:1 put:1 generate:2 definition:5 nonnegative:2 exponentially:3 consequence:7 integrand:1 probability:34 number:6 construct:3 introduction:5 leading:1 least:1 jeanblanc:1 assumption:1 statement:2 dt2:5 scheme:1 option:19 park:1 part:4 authors:2 dtk:22 king:3 determines:3 determined:6 dtt:29 randomly:1 incidentally:1 tσ:1 sell:2 depending:1 play:1 towards:2 most:3 watt:1 kj:1 popularity:1 exp:41 institutions:1 particularly:1 phenomenon:3 relation:9 find:16 distributed:6 assertion:2 equity:3 integrable:1 notation:3 dependent:13 express:2 closely:2 during:1 willems:1 arxiv:1 witwatersrand:1 banking:2 common:5 activity:1 switzerland:1 set:9 achieved:3 see:17 factorisation:1 various:9 conditions:1 available:10 initially:1 dividends:8 attention:1 york:2 distinguish:2 dividend:54 both:4 improved:1 annual:1 context:4 risky:1 supply:1 simple:8 dimensional:2 ydt:4 pr:1 ensures:1 described:3 pt:8 reduction:2 complicated:1 firm:4 generating:1 remark:2 modelling:18 priced:2 determination:2 hughston:4 prices:12 uncertain:1 look:2 exponential:1 while:1 sw7:1 resolved:1 reads:1 itself:2 grant:1 read:1 higher:2 literature:1 flows:32 moment:2 moving:1 aggregate:2 robust:1 recent:2 task:1 kunita:1 analysis:3 calibrated:1 consistency:4 λt:13 rutkowski:5 alternative:1 letting:1 conclusions:2 sydney:1 relevance:1 input:1 solvable:1 remaining:3 integer:1 helpful:1 lost:1 follows:25 signal:1 communications:1 individuals:1 indication:1 rearrangement:2 mathematical:3 often:1 absolutely:1 some:19 back:5 understood:5 economic:1 pricing:20 describing:1 decision:1 shall:11 integration:4 behave:1 bogus:1 innovation:3 proc:1 prob:1 inserting:2 use:23 bj:1 bt:11 bu:5 step:1 relating:3 downward:1 pα:3 novikov:1 simulation:1 range:3 beans:1 gamma:1 therein:1 computational:1 into:22 within:1 integral:6 currency:1 appropriate:5 because:3 primarily:1 uncertainties:1 statistics:3 actuarial:1 lond:1 specifically:4 u2:1 downloadable:1 forward:1 sections:6 opens:1 relaxed:1 line:1 considerable:1 us:13 2πn:2 maturity:8 2πt:1 uk:6 called:2 blackett:1 associated:33 defined:18 likewise:1 influence:1 single:25 defines:2 application:5 definitions:1 priori:9 department:3 elements:4 conventionally:1 problems:2 polynomials:1 develops:1 renormalised:1 sides:2 structure:16 lane:2 suffers:1 implies:6 barriers:1 notion:2 equivalently:1 dvt:1 having:2 once:4 gu:3 gt:6 partial:3 gr:1 baruch:2 results:3 eds:1 proposition:21 issues:2 disposal:1 deterministic:3 ingredient:1 g0:1 kcl:2 implicitly:1 p0t:20 cetin:2 deals:1 discounting:2 interpolating:1 dealt:1 manifestly:1 carter:1 jump:1 zt:2 dynamics:32 universities:1 plays:1 expressed:7 paying:5 capital:1 hobson:1 exercise:1 led:2 commercial:1 consideration:9 deduced:2 great:1 technical:1 larger:1 resulting:6 makes:1 involves:1 composed:2 formulated:2 apr:1 limt:2 decrease:1 vols:1 σst:2 confidence:1 remains:1 next:3 process:101 totality:2 reflects:1 possession:1 upcoming:3 becomes:1 factor:34 labelled:1 iii:3 σs2:11 account:6 integrating:2 obvious:1 accrued:1 drops:4 proof:2 calculation:4 purposes:2 high:2 effectively:2 assumptions:6 liptser:2 dws:16 dwt:15 dwu:12 holds:1 arrangement:1 varies:2 instead:1 collection:3 engineering:1 allow:5 spreads:1 despite:1 equally:1 interpreted:1 dv:3 including:1 bridges:2 ln:1 willing:1 degrees:1 derivative:5 volatility:36 defining:1 outlined:1 material:2 merton:7 optimal:2 investor:5 day:3 university:3 magnitude:3 ηs:1 related:4 society:1 calibrate:2 measure:31 closedform:1 our:13 special:3 out:17 rev:2 suffices:2 math:2 hedged:1 tied:2 regulatory:1 protter:5 determining:2 times:7 timed:1 south:2 intuitively:1 precisely:1 management:2 data:4 system:7 adopted:2 wonham:1 πs:4 intermediate:2 πt:27 siam:1 final:1 explanation:2 exactly:1 rsa:2 july:1 appealing:2 νt2:3 providing:2 result:26 exhibit:3 unchanged:1 goldberg:2 need:6 clearly:1 viewed:2 constantinou:1 able:3 purchasing:1 instance:1 calculus:2 who:1 centro:1 but:12 wc2r:1 preliminary:1 why:1 volume:1 ξst:2 normally:2 fact:15 agreed:1 dbs:3 agrees:1 principal:2 based:22 knowledge:1 basel:3 should:16 employed:1 means:3 geman:1 overall:1 joint:2 words:4 timing:1 areas:1 giesecke:4 processes:23 differential:7 fixed:2 view:8 madan:1 modulo:1 exists:1 national:1 tend:1 state:1 identification:1 closed:5 email:1 publishers:1 interchangeably:1 bt2:1 importance:1 job:1 key:1 problem:12 limits:1 taking:4 estimation:1 comment:1 adjusted:1 relevant:5 unfolding:1 respect:5 second:3 trajectory:1 minimise:1 define:8 arises:2 corresponding:6 βtt:50 last:1 c0:12 present:9 statist:1 multi:11 wellknown:1 value:31 will:25 expiration:1 vi:2 thus:31 vt:13 φt:15 perhaps:1 unity:1 parts:4 finite:1 νs2:12 difficult:1 practice:1 σu2:1 upon:2 effect:4 phd:1 identity:2 discounted:2 reflection:1 nevertheless:4 com:1 well:4 davis:5 factorises:1 thought:2 hazard:1 position:5 arising:2 usual:1 less:1 obtain:27 sources:1 underlying:5 density:22 point:12 mathematically:1 combine:1 attractive:1 propositions:1 identical:1 increases:1 resolves:1 immediately:2 insert:1 like:2 δx:1 alternatively:2 δn:1 payments:1 accessible:4 brody:7 arbitrage:3 sequence:2 authority:1 econometrica:2 wider:1 growth:7 lead:1 demonstrates:1 avoid:1 does:1 assuming:1 noise:12 dcb:1 analysed:1 although:4 noisy:1 payout:2 about:13 carried:3 extension:3 freedom:1 dependence:1 a2:1 epsrc:1 introduced:5 outset:1 weather:1 additional:1 support:3 imperial:2 much:2 inner:4 naturally:1 function:20 dξt:6 buy:3 ht:1 subjective:1 neutral:4 construction:2 valuation:2 made:7 evident:3 whether:2 below:1 demonstrate:3 distribution:20 bearing:1 denote:1 education:1 identities:1 proceeds:1 functions:2 compared:1 ingredients:2 detail:2 other:13 supermartingale:1 class:3 variation:1 covariance:6 log:1 else:1 space:5 covariances:1 rule:2 elizalde:1 |
0704.1977.txt |@word homomorphism:3 consider:13 gp:2 particular:2 results:2 obstruction:17 proposition:8 consists:1 dϕ1:2 dϕ2:2 gj:2 compact:10 whose:2 inverse:1 depend:1 calculate:2 paris:2 dbn:1 tn:20 dz2:2 manifolds:4 th:2 under:1 decomposition:1 spec:2 alternating:1 g1:2 mn0:22 choice:1 corollary:5 every:3 dolbeault:2 matrices:3 deformations:7 condition:1 immediately:2 althought:1 induction:1 t2:1 try:5 solved:1 vector:6 small:9 upper:2 neighborhood:4 semicontinuous:2 direct:3 jump:2 go:1 second:5 spectral:2 what:3 sun:1 section:13 3i:1 above:12 new:2 increasing:1 equivalent:5 nakamura:3 κn:10 degree:1 respectively:1 here:1 tangent:1 groups:5 represented:3 z1:9 change:2 z3:7 remark:3 study:10 studied:1 t21:12 hospitality:1 t22:9 helps:1 quotient:2 via:2 ii1:1 family:4 wedge:1 apr:1 apply:1 total:2 linearly:3 use:2 would:2 prove:2 positive:1 h0:2 bundles:4 next:5 bases:1 call:2 therefore:10 associated:1 more:3 flat:3 diamond:1 ti:6 problem:7 varying:1 hold:1 iii:3 1th:2 must:1 dg2:1 springer:1 isomorphism:1 recall:2 equation:1 mn:9 mi:3 ρq:5 infinitesimal:1 values:2 divided:1 following:20 my:5 example:6 proof:5 dn:4 dual:1 give:1 calculation:7 suggestions:1 dxn:20 numbers:5 miroir:1 verlag:1 end:1 lemma:4 discussion:2 means:6 write:2 nontrivial:4 ens:1 parameter:1 simplicity:1 product:2 singular:1 fx:1 after:1 independent:4 jumping:10 multiplication:1 fi:4 summarize:2 natural:1 varieties:1 grant:1 explicit:3 oy0:2 so:12 decreasing:1 order:34 restriction:2 deform:1 indeed:1 over:4 vary:1 years:1 paper:4 mentioned:4 existence:2 still:1 its:4 group:2 thank:2 exact:16 sheaf:4 coordinates:1 actually:3 forms:3 derivative:1 main:1 sheaves:2 deformation:22 maximal:2 plurigenera:1 non:7 fr:2 now:3 discuss:1 developments:1 easily:1 february:1 several:1 dgj:4 invariants:1 university:2 each:2 identifies:1 mean:2 subset:2 differential:6 map:14 idea:1 into:1 our:2 out:5 shown:1 matrix:2 space:3 restricted:1 since:11 induces:2 research:2 obstructions:13 geom:1 hood:1 formula:8 cause:1 math:2 fiber:1 theory:4 free:2 nth:12 reason:1 base:3 put:1 publ:1 e0:19 care:1 βt:1 definition:5 olicher:2 geometry:2 ahler:2 first:11 xn:48 xb:2 variables:1 number:4 rank:2 soci:1 another:1 precisely:2 open:4 fj:10 xt:7 zi:1 given:8 necessarily:1 jet:1 introduction:1 πn:20 least:3 their:1 structures:2 gives:2 holomorphic:14 tfi:1 tuple:1 exactly:3 part:3 obstructed:9 than:1 coefficients:5 finitely:2 kind:1 determines:1 jumps:2 sections:1 to1:1 depends:3 classes:1 stalk:3 supposed:1 distinguished:1 result:1 argument:1 manner:1 need:18 oqn:25 element:25 any:2 relatively:1 lie:1 mappings:1 studying:1 note:4 sciences:1 ideal:1 interior:1 encyclopedia:1 play:2 lbn:22 collaboration:1 object:1 most:1 connected:1 reducible:1 why:2 don:1 considered:3 professor:1 cover:1 dimension:3 fact:6 trivialisation:1 phenomenon:5 show:12 semicontinuity:1 supported:1 spaces:4 carefully:1 trivial:12 find:6 d0:2 d1:3 fibre:2 just:4 explain:4 written:1 analytic:3 only:10 going:4 germs:2 he:1 local:5 continuity:1 his:2 viewpoint:1 get:9 de:1 dti:1 ϕl:1 ϕi:19 ϕj:6 during:1 dq:47 gray:1 budapest:1 fields:2 arxiv:1 fixed:2 view:2 set:5 ωxn:12 exists:8 differentials:1 j0:1 module:1 operates:1 relative:3 see:3 projections:1 y0:4 iku:2 review:1 enough:1 closed:5 contrary:1 αn:92 meromorphic:1 terms:1 extend:3 however:2 vanishing:1 ωx0:2 come:3 ker:13 σk:1 σi:3 etq:1 last:2 always:4 many:1 equal:1 connection:2 china:1 iitaka:2 comes:3 otherwise:1 point:6 simple:2 cohomology:9 fix:1 narasimhan:1 pole:1 cochains:1 j00:1 pp:1 described:1 basis:3 addition:1 locally:2 three:1 int:2 versal:1 z2:7 kodaira:6 pm:2 j0i:4 θk:2 direction:2 θi:4 partly:1 j0n:12 sufficient:2 subspace:3 coherent:2 c3:3 denote:14 those:3 case:1 p0:1 splits:1 might:1 ij:4 will:22 while:6 suppose:9 property:2 iq:22 vi:1 grauert:3 thus:1 ii:8 dg1:2 im:11 phenomenons:3 exterior:1 seen:1 ready:1 different:1 author:2 tells:1 complex:35 parallelisable:7 difficult:7 dimc:18 extended:9 assigns:1 i1:15 i0:21 dimh:1 numerical:1 sym:1 hand:1 parametrized:1 nilmanifolds:1 dgp:6 characters:1 lower:2 ωnx:1 acknowledgement:1 well:2 academic:1 sets:1 spencer:5 manifold:18 proposed:1 valuable:1 torus:1 underlying:2 using:3 differentiation:1 previous:3 classification:1 kluwer:1 nilpotent:3 bell:1 seems:2 e0q:7 e0n:1 belongs:12 easy:6 theorem:12 gave:1 real:3 stein:5 term:1 spanned:3 press:1 integer:2 mod:6 necessary:2 like:3 semi:1 follows:3 e00:1 e01:1 either:1 arbitrary:11 simply:2 reduced:1 mathematical:1 because:2 sequence:11 some:3 back:2 calculated:1 b0:9 examples:1 respect:2 proper:4 dz1:1 ωir:2 hodge:11 ϕi1:8 ϕi0:7 dz3:1 does:2 connecting:3 t11:12 t12:9 o3:1 o1:10 who:1 patient:1 bn:79 step:2 bundle:3 although:1 properties:1 injective:2 obn:1 about:1 trivialization:1 ωi1:2 extension:13 extending:4 theorems:3 discussed:3 ob:34 o:8 range:1 oy:7 ox:1 cech:1 andez:1 iwasawa:3 morphism:1 ιi:2 cambridge:1 inclusion:1 h2:4 h3:2 image:6 h1:6 isomorphic:1 fern:1 acad:1 references:1 operator:2 france:1 span:12 her:1 sugaku:1 there:21 long:2 class:20 inner:1 was:3 m0:5 function:2 form:1 hp:2 but:4 partially:1 etrie:1 whether:3 ωp:16 smooth:1 up:1 us:11 ωi:1 dordrecht:1 preimage:1 ui:18 ωpx:5 define:7 called:3 constant:1 ag:1 defined:4 certain:3 abstract:2 linearity:1 voisin:3 general:2 uiq:1 exist:6 check:10 functions:2 ematique:1 no:1 when:4 vanishes:2 other:1 role:2 mathematics:1 elements:10 may:8 βj1:2 variation:6 ui1:1 ui0:1 generated:2 important:4 variable:2 structure:4 rq:2 algebraic:2 rxn:28 assume:6 modules:1 cordero:1 |
0704.1978.txt |@word sci:2 consider:1 rev:20 forbidden:2 both:2 results:12 illustrated:1 gf:1 pearce:2 ga:4 follow:4 alt:2 gl:2 gj:2 gi:12 gr:4 whose:3 πσn:6 isobar:7 eα:1 tr:1 ergy:1 pˆn:1 tn:1 γi:3 helps:1 th:2 ti:4 include:4 p2:4 amplitudes:3 straightforward:1 g0:7 far:1 implicitly:1 mβ:1 keeping:2 wave:13 rl:2 figs:1 summarized:4 resonant:2 encounter:1 saghai:1 leads:1 school:1 riemann:6 solution:1 large:1 solved:1 vector:2 indices:1 isobars:4 zl:1 zn:3 mn:5 zi:6 concise:1 zd:3 consistent:1 akaishi:4 coefficient:2 b21:1 approximation:1 carefully:1 zero:2 further:3 dynamics:3 mj:10 quite:2 will:4 sue:1 plays:3 appear:1 deeply:2 section:10 expressed:1 version:1 poles:2 causes:1 above:6 nine:1 increasing:1 method:8 filled:2 satisfy:1 edited:1 outgoing:1 full:3 lee:1 exchange:17 jido:1 respectively:1 component:4 here:17 atoms:1 ranges:1 reported:5 meißner:2 mev:44 bj:5 address:1 shevchenko:3 along:2 strong:2 equations:4 appears:1 logarithmic:4 obtained:1 vbb:1 great:1 shift:1 study:10 studied:10 vbm:1 pˆm:1 trial:1 akn:2 resonance:65 shaded:1 studies:4 cancellation:1 plotted:1 uniquely:1 antisymmetrised:1 adjustable:1 useful:1 os:1 ix:2 twonucleon:1 2wi:1 explained:3 compare:2 marked:1 pˆl:1 unitary:1 decrease:1 meson:12 cα:2 ψb:2 standing:1 use:6 takes:2 positive:3 wkn:2 negative:2 next:1 predict:1 nucl:8 kinematics:5 therefore:5 m3:10 taken:5 type:2 theoretical:4 possible:4 more:2 introducing:1 almost:1 excluded:1 comparison:1 started:1 sandhas:2 operators:1 tested:1 berlin:1 appendix:2 wi2:1 eλ:4 varying:2 symmetrize:1 iii:4 must:2 couples:3 account:12 πnn:1 deformed:3 science:1 equation:22 work:8 mi:7 modified:2 mk:20 oller:3 reproduce:2 fock:4 values:5 freedom:1 following:5 example:3 numbers:2 flavor:1 6e:1 give:1 calculation:3 relativistic:43 recover:1 states:18 δj:2 performed:1 unphysical:12 deforming:1 distinguishable:1 µj:6 axis:4 rather:3 hydrogen:2 discussion:1 s0:4 b408:1 regions:2 very:4 fourth:2 shifts:9 parameter:6 sato:2 simplicity:1 may:6 after:1 singularities:9 diagram:1 fa:3 iwasaki:1 plane:11 waves:1 fits:1 revealed:1 fm:11 constants:4 short:2 prof:2 dynamical:1 effective:1 s2:2 light:1 λ2a:2 explicit:1 su:2 element:1 quadrant:2 lengths:2 si:8 green:2 correlation:1 λ2r:2 representation:1 first:1 order:6 terms:1 typical:1 ito:1 s3:10 deform:1 nucleon:13 developed:3 pointed:1 choose:3 years:1 finuda:1 through:2 i26:1 cuts:5 y1:1 japan:2 kinetic:1 y2:1 τn:4 write:1 ηa:4 fit:2 τi:5 energies:5 τd:2 solving:2 afnan:5 drs:1 forms:1 attraction:2 complex:7 degrees:1 fig:35 τy:2 ours:2 might:3 h0:1 overcome:1 s1:2 yi:1 arndt:2 non:6 affected:1 klomp:1 yazaki:2 qs:1 ηj:4 break:1 framework:2 repulsive:3 effects:2 they:2 half:1 employed:1 singularity:7 now:1 eigenvalue:4 term:4 2s:4 fully:2 university:1 magas:1 kern:1 each:1 found:9 toki:1 2i:4 integrand:2 em:1 reactions:4 int:1 en:1 ei:7 ek:4 ej:4 there:2 osaka:4 hard:1 related:2 investigated:3 isospin:11 connect:1 quantum:1 our:22 ev:5 eq:15 out:1 shown:18 matrix:12 driving:1 ejk:4 furthermore:1 since:4 lagrangian:8 research:1 rd:1 re:1 mα:1 m2i:1 m2j:2 m2k:1 denoted:2 i41:1 ref:19 ri:4 shows:6 trajectories:7 mπ:1 mσ:1 interactions:15 derived:1 discontinuity:1 mechanisms:1 free:1 standard:3 sbb:1 small:6 ramos:2 mares:3 pz2:4 care:1 interaction:52 iγ:3 chiral:10 r2:1 starts:3 keep:1 zτ:3 length:29 itot:11 humphrey:1 neglect:1 matsuyama:4 separable:4 xi:4 xn:5 simply:2 martin:2 variables:1 number:1 xd:4 channels:3 production:1 xy:1 simplified:2 another:3 b500:1 electronic:1 angular:3 i40:1 illustrate:1 given:27 sheet:14 pl:3 start:2 introduction:1 leading:3 phenomenologically:1 πn:12 system:21 construct:1 priority:1 their:6 listed:1 tol:1 πy:34 final:4 kittel:1 gives:2 i22:2 grant:1 baryon:14 juli:1 shallow:1 contribute:1 optical:4 somewhat:1 authors:1 schr:1 mizutani:1 than:3 specify:1 threebody:2 relative:4 molecular:1 third:1 i33:5 sections:4 i31:2 i30:3 see:2 propagator:2 determined:10 amplitude:12 were:1 function:5 b469:1 modern:1 turned:1 curves:2 already:1 smaller:1 need:1 seen:3 constrained:2 relatively:1 lie:1 strength:8 genuine:1 uncertainty:1 depending:1 tends:1 mechanism:12 fitting:2 potential:17 take:6 so:4 channel:20 circles:1 formulas:1 play:1 differences:1 components:3 gα:2 though:2 s31:2 collaboration:1 decreasing:1 singlet:2 most:4 2ηn:3 pair:4 baryons:1 grateful:1 analytically:2 b719:1 reduces:1 recoupling:1 ki:2 ckn:5 stronger:1 kn:67 points:1 principle:1 arxive:1 physics:2 fitted:5 pavan:1 thomas:3 show:1 supported:1 iǫ:2 threshold:5 data:14 find:4 sj:7 bind:1 based:1 parameters:19 horiuchi:1 explain:2 written:4 analytic:9 only:2 explicitly:2 factor:10 µi:2 otter:1 over:1 exchanged:2 do:2 dominant:3 gev:4 notation:2 stot:11 de:2 pendence:1 dy:1 report:1 2mi:1 2mn:6 evans:1 grassberger:2 areas:1 runs:1 6d:1 fields:1 workman:2 arxiv:1 summary:1 investigate:1 nλ:3 predicted:3 qi:16 dpn:2 qj:1 gibson:2 ql:1 qn:2 kernel:7 computed:1 sep:1 sensitivity:2 comparable:1 toyonaka:1 depends:3 result:4 existence:1 discussions:2 close:1 i34:1 contour:14 best:1 jy:1 yamaguchi:1 interacting:3 nuclear:4 dipole:1 increased:1 label:1 symmetric:1 state:33 various:1 simplest:2 invariant:1 approach:3 across:2 notice:3 recently:2 kaonic:8 jz:1 agnello:1 p2i:6 p2n:3 jp:2 however:7 wi:1 reproduces:1 wp:6 wth:5 strakovsky:2 suppressed:1 distribution:1 thank:1 reaction:2 σi:1 monopole:1 folding:1 σn:2 always:1 b535:1 terheggen:1 taking:4 decay:6 sensitive:3 intercept:3 present:1 dated:1 contribution:1 experimental:2 among:3 ch:1 nonrelativistic:28 continuation:8 ca:3 except:1 pm:3 pole:36 anti:3 path:1 table:13 factors:1 pseudoscalar:1 considering:1 pp:6 described:2 pz:2 trajectory:2 oder:1 three:39 been:7 z1:1 ai:1 beer:1 much:1 symmetrizing:1 z2:1 interest:1 pj:16 pk:4 pi:41 pn:24 partial:2 attractive:5 6a:1 graphical:1 arises:1 corresponding:2 deeper:2 kaon:3 body:54 search:1 gal:4 last:2 spin:10 those:8 aid:1 case:4 disconnected:1 pacs:1 solid:9 dibaryon:11 ij:7 chap:1 value:4 employ:1 while:6 viii:3 intercepts:1 situation:1 located:1 eur:1 region:1 procedure:1 real:14 aa:8 vectors:2 coupled:14 phenomenological:4 vi:7 refs:2 binding:12 yk:25 iv:4 ii:12 examined:2 properties:1 worry:1 around:3 different:2 formalism:1 suggests:1 perform:1 acknowledgments:1 make:1 i24:2 i25:4 same:5 1mev:1 φa:5 strange:6 largest:1 physical:4 couple:2 neutron:1 difficult:1 independent:1 i20:2 used:7 i1:2 i0:21 i3:10 numerical:2 pz1:5 effect:1 ockle:2 moving:1 kim:1 potentials:5 cross:6 recent:1 knn:25 off:1 dotted:1 i2:2 well:9 analysis:3 without:1 solve:3 spectator:10 sets:1 position:4 model:73 arising:1 finally:1 λr:1 adds:1 less:1 guided:2 obtain:4 assigned:1 λa:1 predicts:1 σnn:1 λi:1 schwinger:1 scattering:46 yet:2 previous:1 tables:5 cut:4 density:2 absorption:2 seems:1 parametrization:1 i27:2 internal:1 ikeda:3 weise:1 input:1 dqi:1 momentum:17 ross:1 identical:1 spinless:1 eigenfunction:1 represents:4 showing:1 february:1 swart:1 early:1 increases:3 using:19 part:9 projects:1 mod:1 multiply:1 necessary:2 decays:1 particle:13 bracket:1 follows:1 signal:2 oset:2 qm:1 continue:2 unstable:1 δi:4 become:2 nucleons:1 essential:1 parity:1 because:5 methods:1 czech:1 springer:1 yπ:10 understood:1 b1:2 b2:3 cr:3 extended:1 neglecting:1 gβ:1 possibilities:1 gradually:1 total:6 describing:1 lead:1 lippmann:1 resonances:2 avoid:1 octet:1 integration:11 overlap:1 does:1 assuming:1 fπ:1 particles:6 friedman:1 2µj:3 faddeev:8 run:1 scientific:1 mext:1 s11:2 arbitrary:1 bi:5 expansion:1 step:1 although:2 cβ:4 imaginary:6 between:6 hadron:1 borasoy:2 hypernuclei:1 about:4 central:2 extension:1 theirs:1 discussed:3 dependence:6 o:1 reduced:2 range:6 r1:1 repulsion:1 fredholm:1 dalitz:1 introduced:2 slightly:1 other:2 cutoff:10 equally:1 strangeness:1 el:1 ηn:1 into:19 within:4 integral:5 bound:13 due:3 phase:11 λn:2 vii:1 comparing:2 yamazaki:4 approximate:1 long:3 noticed:2 width:15 low:3 way:1 was:3 energy:60 lowest:1 form:14 enough:2 lint:1 arima:1 but:3 expected:3 ıaz:1 larger:3 line:4 especially:1 whether:1 up:3 us:4 below:5 un:1 ui:4 minor:1 problem:4 define:1 similar:6 calculated:2 strongly:1 ac:2 ab:3 constant:4 defined:3 abstract:1 describe:8 6b:1 general:1 examine:6 6c:1 initial:2 controlled:1 moves:2 triangles:2 constructed:5 specially:1 functions:2 compared:4 nn:5 no:1 dashed:7 b179:1 when:9 graduate:1 ap2:1 valid:1 role:4 details:1 branch:1 department:1 deviate:1 weak:3 picture:1 briefly:3 spectators:1 models:29 vertex:4 stoks:1 generated:1 important:8 nucleus:3 included:7 πλn:3 n2:2 structure:3 qi2:1 coupling:8 pion:7 assume:1 ags:9 space:5 curve:10 together:3 mass:7 n1:2 nuclei:5 starting:1 lett:10 basically:1 |
0704.1979.txt |@word magnetic:1 results:2 leads:9 consists:2 localized:5 discern:1 amplification:1 calculate:1 charge:2 tk:4 under:1 tb:1 indicating:1 ta:1 case:3 g0:2 p0i:2 induce:1 electron:2 experimentally:1 difference:1 matrices:1 hamiltonian:10 transmission:1 t0:2 large:3 kondo:26 small:3 degeneracy:1 upper:1 smaller:1 occurrence:1 renormalized:1 sin2:1 threshold:1 second:1 further:1 gunnarsson:3 estimated:2 odd:1 even:1 established:1 anton:1 reminiscent:1 experiment:1 above:1 occupation:1 method:2 body:1 full:3 respectively:5 here:4 understanding:1 heitler:1 free:1 mes:1 sine:1 dividing:1 institute:1 larger:2 fabrizio:1 periodic:2 mravlje:2 makes:1 plotted:1 projection:2 scales:1 apr:1 jadranska:1 use:1 takes:1 would:1 rightmost:1 occupying:2 taken:1 until:1 diagrams:1 more:1 introducing:1 operators:9 qds:1 hole:1 aligned:1 pseudospin:1 plateaus:1 values:1 temperatures:2 freedom:1 detached:1 example:2 decoupled:1 figure:2 states:5 degenerate:3 serial:3 occur:2 s2:2 s1:2 breaking:1 feature:1 how:1 ordinary:1 parameter:4 mat:1 algebra:1 mapping:1 consequence:2 explored:1 faculty:1 horizontal:1 data:1 effective:1 whenever:3 lines:3 correspond:1 su:18 element:1 si:1 progressively:1 correlation:4 representation:1 sa:1 p1i:1 combinations:1 logan:1 experiments:1 through:4 looks:1 sλ:2 group:1 acknowledge:1 2e2:1 interesting:3 ll:1 absence:1 parts:2 degrees:1 systems:4 non:2 effects:2 they:1 hall:1 term:3 always:1 university:2 presented:1 filling:1 each:1 pools:1 side:1 characterized:1 heavy:1 prohibit:1 n1n2:1 another:2 energy:4 constitute:1 conductance:16 extended:3 isospin:5 quantum:7 our:2 out:1 try:1 impurity:6 twice:1 rev:7 denotes:1 looking:1 formula:1 ref:1 occurs:3 linear:1 mechanisms:1 possibility:1 formation:4 nα:5 interaction:8 singlet:13 diminished:2 plane:1 place:1 hence:2 support:1 first:1 separable:1 symmetry:7 channels:1 directly:1 ring:2 given:4 temperature:1 attach:1 introduction:1 top:2 system:6 occupancy:1 consisting:2 rates:1 fermions:1 molecular:1 jamova:1 behind:1 exactly:1 part:1 favorable:1 kind:2 double:6 enabled:1 rate:2 symmetries:1 rewrite:1 crossover:1 seen:3 zero:1 depending:1 latter:1 isolated:9 note:4 nanoscale:1 added:1 2tk:2 impurities:4 most:1 involving:1 sb:1 phase:5 signalled:1 tλ:2 consequences:1 calculated:1 electrons:8 kv:1 exp:1 physics:2 dot:10 particlehole:1 keywords:1 longer:1 indicate:1 decade:1 ground:17 boundaries:2 parameters:2 conduction:3 capacitive:1 state:24 only:1 raising:1 molecules:1 indeed:2 partially:1 notation:1 means:2 cannot:1 report:1 approach:1 arxiv:1 tuned:1 circuits:1 investigate:1 nλ:3 mapped:1 london:1 qm:1 approaching:1 electrodes:1 correlations:1 flip:4 geometrically:1 enhanced:3 techniques:1 phases:13 interacting:1 away:1 sites:2 artificial:1 symmetric:2 outside:1 various:1 closed:1 between:8 exploration:2 boundary:3 conditions:1 ciσ:1 triplet:2 terms:3 vertical:1 complementary:1 p2i:1 however:1 orbitals:5 atoms:1 both:2 essentially:1 last:2 many:1 equal:1 energies:5 exceeds:1 experimental:1 point:6 cb:1 corresponds:4 leo:1 anti:5 16t:2 sees:2 tuning:2 basis:2 due:3 dqds:8 screened:3 varma:1 describes:1 combined:1 pl:1 fig:3 dots:8 enable:1 corresponding:2 versa:1 formed:1 systematic:1 c2:1 c1:1 spin:17 present:2 applied:1 intriguing:1 pacs:1 solid:1 value:1 near:5 abrupt:1 irrespective:1 tunneling:6 characterizing:1 unitary:2 coupled:3 n2b:1 binding:1 site:4 cond:1 orbital:8 different:4 hubbard:2 grant:1 acknowledgments:1 same:1 shifts:1 unity:1 noninteracting:2 virtually:1 pauli:1 residing:1 used:2 peaks:1 numerical:1 effect:9 slovenia:2 levels:2 robust:1 n21:1 lower:2 hopping:3 nevertheless:1 changes:1 well:2 roughly:1 without:1 model:4 left:5 gates:1 disguise:1 yielding:1 scattering:1 hewson:1 cl:1 discuss:3 dqd:11 lett:2 easy:1 ljubljana:3 iσ:1 increased:1 advances:1 breaks:1 wilkins:1 press:1 using:1 occurring:1 particle:1 shaped:1 niσ:3 flux:1 either:2 inter:9 accessible:1 right:5 some:2 competition:2 towards:3 moreover:1 matching:1 transport:4 scale:2 lead:3 bottom:1 broad:1 avoid:1 measurements:1 measuring:1 indicated:1 stefan:1 cλ:3 host:1 although:1 falls:1 properties:1 proceed:1 sra:1 extension:1 pλ:3 o:1 range:1 repulsion:2 projectors:1 cambridge:1 into:1 c2σ:1 p3i:1 references:1 tiny:1 operator:3 additional:4 area:1 strictly:1 long:1 anderson:2 low:2 way:2 analyze:1 form:3 enough:1 but:3 hl:2 line:3 level:3 collapses:1 hd:6 coupling:1 absent:2 embedded:1 whether:1 characteristic:3 practically:1 attached:2 up:1 below:1 limit:1 minor:1 occupancies:1 fluctuations:1 problem:1 panels:4 regimes:1 lowering:1 defined:2 abstract:1 metals:1 denote:1 single:2 arises:1 intra:1 ni:10 functions:2 compared:1 dotted:2 no:2 dashed:2 discerned:2 when:9 tight:1 valid:1 electrical:1 details:1 mathematics:1 picture:1 excitation:1 transported:1 bonding:6 important:1 peak:1 matrix:1 jones:1 condensation:3 auxiliary:3 vice:1 restores:1 4t:1 holes:1 krishnamurthy:1 starting:1 original:1 |
0704.1980.txt |@word gs:2 consider:13 global:2 dynamic:1 results:11 leads:3 proposition:7 computation:1 types:1 follow:1 gm:1 contributions:1 reasoning:1 issues:1 sch:1 devoted:1 whose:5 c0:4 referring:2 circulants:1 γs:21 concerned:1 technique:2 ts:7 intensive:1 finally:3 elliptic:3 under:7 analogous:1 worth:5 norm:8 cm0:11 case:34 belonging:4 orthogonal:1 very:3 frequencies:2 rise:4 account:1 choice:6 electron:1 mf:4 every:4 entries:1 affect:1 difference:2 matrices:33 strang:2 condition:14 induced:2 level:11 irreducible:1 solution:10 large:2 solved:1 vector:6 splitted:1 small:1 anal:2 cms:13 enforce:1 ωam:1 application:2 periodicity:1 10b:4 10c:5 miur:1 direct:3 approximation:3 rate:5 cost:6 dordrecht:1 further:1 winston:1 linear:24 even:4 aim:3 ˆs:2 plays:1 invoking:1 giving:1 sun:1 section:2 brief:1 uniform:3 version:1 above:1 boundary:3 3b:6 3a:9 increasing:1 method:11 coefficient:3 full:2 simultaneously:1 degree:5 respectively:6 never:4 equals:3 here:5 mψ:1 behaviour:1 reported:5 fiorentino:2 focused:1 cos2:35 sine:1 equations:7 appears:1 change:2 obtained:8 remark:1 remarks:2 involved:3 cgcs:16 p2:1 permutation:1 encountered:1 suitable:3 subjected:1 sci:4 uniquely:1 boundedness:2 via:1 useful:1 projection:1 family:1 claim:2 apr:1 9c:1 9b:4 residual:1 analyzing:1 inverses:1 total:3 tools:1 post:21 linearly:1 use:2 projector:9 prove:8 positive:14 stated:2 uniformly:6 p0:5 vol:1 m1:6 therefore:8 m2:1 type:1 theoretical:2 more:12 preserving:1 formally:1 preconditioned:1 operators:1 factor:1 corrected:1 preconditioner:1 virtue:3 particular:1 known:1 cases:1 hold:2 iii:28 must:3 states:1 none:1 valued:2 frobenius:1 science:2 setup:1 work:3 values:1 cm1:3 ms:38 following:6 nonsingular:1 trans:1 root:2 proof:10 f0:26 continuity:1 dedicated:1 plemmons:1 give:3 sense:3 organized:1 stressing:5 implementations:1 xout:5 assumptions:4 performed:2 arise:1 nonnegative:5 absolute:2 normalize:1 preconditioners:7 requirements:4 recursive:1 provide:1 verify:1 holds:7 georg:1 write:1 how:1 low:1 frontiers:1 optimal:24 verlag:1 parameter:1 sin:1 belongs:2 product:5 fs:69 blocks:1 description:1 algebra:22 wiley:1 space:2 applications:6 birthday:1 superlinear:2 applicazioni:1 law:1 compulsory:1 constants:2 stress:1 short:2 natural:5 quoted:4 grant:1 st:3 generic:2 complexity:2 sons:1 so:14 definitions:1 order:20 operations:6 eet:2 developed:2 over:1 mainly:1 choose:4 60th:1 paper:3 gular:1 thesis:2 oswald:1 existence:1 its:3 roots:5 diagonalized:1 perfect:1 group:1 singular:2 chosen:5 interesting:2 solving:2 coarser:5 previously:2 ims:1 systems:17 mail:1 main:3 decades:1 into:4 serra:12 greater:1 propose:1 outlined:1 qs:4 primary:1 p10:2 band:1 cutting:2 they:1 symposium:1 oxford:1 ys:4 now:2 hall:1 vm0:1 structural:2 reflecting:1 term:1 hereafter:3 always:1 university:1 solver:1 2d:3 im0:1 inequality:4 l2:1 each:14 found:5 universit:1 cliffs:1 2i:2 mean:1 domain:2 arxiv:1 another:1 series:2 reduce:1 related:3 celebrating:1 a2s:5 1d:3 reached:1 assumption:2 differ:1 hartley:1 preconditioning:1 special:6 tried:1 deals:2 shown:1 matrix:51 rs:8 gradient:1 furthermore:1 since:20 rev:1 projected:2 denotes:2 f1:3 precision:1 denoted:1 rm:3 size:9 issue:1 math:4 shows:1 i2:1 log2:2 theory:5 8b:5 8c:1 8a:3 diagonal:3 quite:1 reason:1 complicated:1 rewritten:4 definition:16 extend:1 βs:11 could:2 similarly:1 iterative:13 times:2 v3:1 place:1 xii:1 consequence:4 bulgaria:1 dipartimento:1 first:8 xj:10 finest:1 fischer:1 plainly:1 xm:5 number:4 rank:7 exact:4 set:3 simplified:1 least:4 directly:2 solvers:2 xs:2 precisely:2 illustrate:1 given:12 reference:1 table:6 their:4 introduction:2 leading:1 chan:8 structured:4 system:5 xin:4 πs:2 intermediate:1 zeros:3 too:1 dealing:1 siam:6 john:1 structures:2 store:1 gives:2 shifted:3 insure:1 10a:6 recursively:1 exactly:1 proving:1 part:1 2as:2 x2:13 x0:35 than:5 coefficients:3 kind:2 target:2 accordance:1 sections:1 require:2 iteration:16 see:9 future:1 toeplitz:13 distinguished:1 w2:2 pre:30 comput:4 7a:3 correction:6 conjugate:1 need:1 clearly:2 symmetrized:1 zero:19 min:13 efficient:1 lim:4 latter:2 converges:3 note:1 instance:4 high:2 square:1 take:1 algorithms:1 techniques:2 accuracy:2 spectral:3 regard:1 permuted:1 most:5 involving:2 importantly:1 plus:2 representation:2 phase:1 class:5 tensor:1 doi:1 especially:1 considered:11 average:1 milano:2 χx:1 proceedings:3 points:1 fact:4 plovdiv:1 particularly:1 show:1 supported:1 converge:1 notations:2 purely:1 session:1 relation:1 keywords:1 find:2 d0:2 sj:3 based:1 just:2 advanced:1 pdes:1 should:1 lemma:13 only:4 indeed:1 constant:10 exchanged:2 do:3 dm:3 reconstruction:1 notation:1 means:2 between:4 mgm:31 satisfied:1 cannot:2 new:1 report:3 ds:14 regarding:1 introduced:1 upper:2 differential:7 expansions:1 factorization:1 ψs2:2 twice:1 optimally:1 experiments:1 perron:1 fixed:1 qm:3 view:1 rms:4 requirement:5 multiplying:1 unimib:1 qts:1 exists:6 galerkin:1 respect:9 rm0:1 relative:1 depends:1 computer:1 result:1 w1:2 uller:1 propositions:1 recently:1 qtm:2 best:2 subject:1 αs:8 satisfying:1 inequalities:9 subsequent:2 definite:8 symmetric:4 enough:3 yip:1 jth:1 simplest:1 c2j:2 subscript:1 luk:1 conditions:9 hence:4 publishers:1 notice:7 terms:3 right:2 numer:5 comp:1 attention:2 focus:1 however:2 analyzes:1 vanishing:1 p2s:34 come:1 suggested:2 0s:1 cos:31 last:2 many:1 taking:2 according:14 jin:2 colloquium:1 staudacher:2 whole:2 otherwise:1 cj:3 relevant:1 key:1 cm:16 point:4 asymptotically:1 period:1 simply:2 iterations:11 sequences:2 polynomial:21 associated:2 expensive:1 tgm:25 considering:1 ps:68 ensures:3 described:1 tuning:1 second:4 basis:1 addition:4 prentice:1 due:4 been:7 sinc:1 reduction:1 cosine:6 coarse:6 kronecker:1 anisotropic:1 algebras:2 universal:2 important:1 define:2 6a:11 6b:7 arises:1 corresponding:3 both:7 quantities:1 concerning:1 formed:3 requires:1 else:1 neumann:3 observe:2 optimality:4 spie:1 θs:2 general:4 developments:1 former:1 standard:4 applied:3 multi:5 tang:1 5a:1 value:4 will:6 euclidean:4 while:6 suppose:2 error:1 irrespective:1 di:2 property:3 ill:1 procedure:4 beijing:1 identical:1 unitary:1 geometric:1 linked:1 allows:1 thus:2 vm:1 equal:5 ii:1 vs:28 im:1 claimed:5 φp:1 φq:6 different:1 φs:2 italy:1 author:1 perform:1 recursion:1 make:1 same:11 any:23 arguments:1 modification:1 finite:2 circulant:3 evidence:1 difficult:1 independent:13 used:2 numerical:10 structurally:1 hand:5 v0:4 levels:5 architectures:1 infinite:1 chang:1 cycle:24 relies:1 scaling:2 fourier:3 varga:1 nevertheless:3 depending:4 banded:4 analysis:12 academic:2 severe:2 costs:5 solve:2 position:1 dimension:6 left:2 proposed:10 less:3 being:6 trigonometric:10 obtain:4 valuable:1 bandwidth:1 thanks:1 using:1 am1:1 am0:6 bit:2 previous:4 classification:1 kluwer:1 conclusions:2 imacs:2 guaranteed:1 except:1 theoret:1 evidences:1 9a:2 setting:1 treatment:1 easy:1 theorem:12 gms:3 extensive:1 profitably:1 real:3 tests:2 motivating:2 replaced:4 possible:1 corresponds:1 englewood:1 grid:18 press:3 integer:1 ams:4 unique:4 projects:1 2q:7 φps:1 worsening:1 appearing:1 like:4 calcolo:1 follows:5 signal:2 benefit:1 steps:3 starting:1 δi:1 popular:1 gm0:3 therein:1 pertaining:1 because:1 often:1 deal:1 sequence:2 some:5 back:1 choosing:2 cs:12 deduce:1 equivalent:2 examples:1 sight:1 moreover:10 proper:3 cristina:1 axelsson:1 nonzero:2 s2j:2 dimensions:3 cozzi:1 wong:1 δj:1 refer:2 preassigned:1 conference:1 scientific:1 minimization:1 reaching:2 bm:4 cgc:1 processing:2 agreement:1 step:2 substituted:2 variation:1 bs:5 dct:28 super:1 properties:8 integers:1 about:2 works:1 ensured:1 extension:2 algebraic:10 discussed:1 location:3 o:12 side:3 practical:1 a2:1 ensure:1 ψs:17 2x0:2 2k:2 projectors:2 block:6 vsp:1 discretization:2 computational:6 orders:5 unbounded:1 image:6 within:4 integral:7 bound:3 nothing:1 hermitian:3 weighted:1 references:2 deblurring:1 operator:11 proportional:2 lastly:2 methods:23 bicocca:1 fast:1 additional:2 combinatorics:1 springer:2 there:8 knowing:2 transform:3 equation:1 smoothing:23 luenberger:1 appl:8 smin:15 way:2 ed:1 was:1 m0:35 function:19 multigrid:27 form:1 simplifications:1 memory:1 denoting:1 but:1 robert:1 link:1 multilevel:12 matematica:1 convergence:40 hackbusch:1 true:6 partially:1 supx:1 algorithm:1 evident:5 fulfilling:1 characteristic:1 ωs:9 up:2 us:4 until:1 international:2 discretized:2 below:1 verification:2 highlight:2 problem:7 2πz:2 similar:1 called:2 multiplications:1 proved:1 ad:3 defined:8 certain:3 abstract:1 mirror:2 am:8 generating:16 proven:3 convergent:1 globally:1 single:4 salem:1 exist:2 our:1 inf:9 uben:3 inc:3 again:2 functions:5 weakened:3 no:17 na:1 nc:1 when:1 vanishes:2 ng:5 field:1 fs2:6 other:5 role:1 test:1 mathematics:5 arithmetic:1 conclusion:2 briefly:3 denote:4 topic:1 conditioned:1 models:2 symbol:4 problems:10 polynomials:1 spectrally:1 a1:2 a0:1 generated:8 restoration:5 bounded:5 variable:2 sides:2 structure:1 brandt:1 implies:1 coarsest:1 resolution:2 required:5 equivalently:1 implied:3 richardson:2 once:1 4b:1 having:1 4a:3 |
0704.1981.txt |@word limited:2 surrounded:2 partial:1 gp:2 duplicates:2 caused:4 magnetic:3 global:1 activated:1 results:3 leads:1 gf:9 quadrature:1 stops:3 consists:1 sci:1 disk:1 revealed:2 causes:1 fitted:7 depend:1 producing:1 blinded:1 charge:1 tm:5 dwh:1 include:1 ta:2 division:2 g2:2 downstream:2 rise:1 agilent:1 choice:1 every:1 lynch:1 upstream:1 difference:1 exact:1 truncated:1 four:2 impressive:1 exits:1 level:6 did:1 cause:1 nucl:1 large:5 minimal:1 small:2 relation:1 midplane:1 accumulation:4 pmt:4 upper:1 smaller:1 illustrating:1 oscillation:1 miller:1 consistent:2 pulse:2 b137:1 second:3 street:1 design:1 value:3 queuing:2 rath:1 even:1 b47:1 appear:1 clock:9 giving:1 integrity:1 sum:3 while:2 rohrer:1 experiment:2 precisions:1 new:3 consisting:2 µsr:1 full:2 chose:1 sirlin:2 respectively:1 offsets:1 unobserved:1 fields:1 here:2 reported:3 asymmetry:1 mev:1 operating:2 kicker:11 groups:3 berkeley:1 decision:1 along:1 change:2 wait:3 obtained:2 incoming:1 photomultiplier:1 institute:1 shift:5 changed:1 prior:1 egger:1 principally:1 hexagon:1 midway:1 concealed:1 diameter:3 followed:1 ions:1 triumf:1 private:1 first:2 visible:1 deadtime:4 counts:3 extinction:6 establish:1 use:1 feb:1 figure:1 usa:6 positive:5 finally:1 icosahedron:1 depicted:1 filled:1 therefore:2 typical:1 aperture:2 undivided:1 until:1 undecayed:1 entrance:1 corrected:1 emission:1 tested:1 opposing:1 excellent:3 known:2 cases:1 mounted:1 iii:2 andreev:1 sample:2 account:1 ma:1 bertl:1 mm:3 science:1 work:2 oscillator:2 biersack:1 mt:1 suggestive:1 mv:3 values:2 thin:2 following:2 scherrer:1 trans:1 example:1 marciano:2 dedicated:1 indicated:1 give:1 calculation:1 organized:1 ps:1 ann:1 high:2 indicates:2 performed:1 triangle:1 routed:1 axis:2 goal:1 rather:1 divided:2 six:1 photoelectrons:1 duclos:1 varies:1 modification:1 vancouver:1 fit:8 instead:3 field:6 absolute:1 parameter:1 synthesizer:1 wave:1 rept:1 marengo:1 may:1 weiglein:1 after:1 minimized:1 diagram:1 permanent:2 produce:1 fe:1 records:1 2t:1 geometrical:2 data:14 parallel:1 winter:1 natural:1 light:1 spectra:5 june:1 element:1 subdivisions:1 so:2 correlation:1 banks:1 tall:1 order:5 michel:1 sd:1 displays:1 pulsed:2 nucleon:1 thresholds:1 mainly:2 efficiency:2 distortion:3 stability:4 course:1 through:7 preliminary:1 suffer:1 ieee:2 its:7 blocked:1 effect:1 fine:1 outer:3 probability:1 fit:1 decay:12 temporal:1 boson:1 peng:1 detected:1 continue:1 fig:5 tstart:3 pergamon:1 τt:1 versus:2 violating:1 good:1 pentagons:1 surrounds:1 universality:1 number:1 framework:1 precess:1 motivates:1 arnold:1 rotation:1 offset:4 group:3 groningen:2 represents:1 term:2 netherlands:1 james:1 university:6 luetkens:1 applied:1 magnitude:1 stopped:5 mode:1 each:5 accommodated:1 characterized:1 mean:3 subset:2 square:1 bends:1 accelerator:1 hadronic:1 series:1 hare:1 related:2 webber:1 ball:1 ex:1 entering:1 measurement:8 our:3 transitions:1 nonlinearities:1 array:4 special:1 canada:1 magnet:3 shown:5 missed:1 space:1 miss:3 urbana:2 induces:1 mediated:1 instituut:1 induced:2 ref:1 red:1 predicted:1 foundation:2 reporting:1 theory:1 standard:4 california:1 york:1 doubles:1 hep:1 beginning:1 pairs:2 interaction:1 widths:2 could:3 transition:4 times:5 separator:1 circuit:1 cos:4 corrections:5 appropriateness:1 assign:1 fitting:3 symmetry:1 gabrielse:1 omitted:1 possessing:1 powerful:1 primary:1 ziegler:1 2a3:1 another:1 mosfets:1 discriminator:3 thick:4 electronic:1 size:1 passes:2 given:1 gabathuler:1 stringently:1 their:3 leading:1 system:4 approximately:3 plastic:2 exhibited:1 needed:1 intermediate:1 master:2 listed:1 difference:1 rates:2 white:2 john:1 gives:2 reversed:2 continuous:1 electroweak:2 multiwire:1 part:1 simulate:1 than:8 wide:2 polarized:1 determines:2 target:19 showed:1 tree:1 rate:3 roberts:1 matter:1 modulators:2 were:4 extracting:2 pre:1 function:4 clip:1 remained:1 boston:2 correction:4 spectrum:6 raw:2 commissioning:1 final:2 orders:1 eq:2 strength:1 angle:4 analyzers:1 latter:2 polarization:2 extracted:2 potential:1 achieving:1 energy:1 negligible:1 detector:19 switching:3 channel:3 added:2 beyond:1 components:1 artificial:3 collaboration:2 enter:1 neutrinos:1 most:1 regular:1 connected:1 letter:1 entry:1 phase:1 transverse:2 measured:2 ritbergen:4 volume:1 deviations:2 windows:1 average:8 detectors:6 pipe:1 wasserman:1 kv:1 exp:5 subsequent:1 conservatively:1 velocity:1 ky:1 8mw:1 physics:5 assistance:2 incomplete:1 quantity:1 precise:1 madison:1 structureless:1 show:1 supported:1 throughgoing:1 scintillators:2 bring:1 sulfur:6 gauge:1 threshold:2 indicate:1 ground:2 µm:1 based:4 parameters:2 hanneke:1 start:2 only:3 walls:2 factor:2 five:1 over:3 checked:1 regularly:1 plate:1 dominant:1 gev:2 distance:1 dependent:2 champaign:1 between:4 stop:2 dc:1 pions:1 beam:10 simulated:1 words:1 report:1 during:6 secondary:1 gray:1 runs:2 precession:1 emc:7 covering:1 arxiv:1 lexington:1 tuned:1 bag:1 intervals:1 common:3 though:1 including:3 predictive:1 traverse:1 set:4 computed:1 achieved:2 lifetimes:3 national:1 summed:1 freitas:1 maximum:1 relative:3 see:1 individual:2 result:3 discussions:1 electrode:1 b564:1 m5µ:1 annihilation:1 positron:6 pattern:1 currently:1 µs:9 materials:1 symmetric:2 various:1 beamline:2 balandin:1 before:1 conditions:1 checks:1 15th:1 arrival:1 program:1 recently:1 reproduced:1 vertical:1 missing:1 weak:2 however:1 clayton:1 extent:1 contamination:1 digitizers:1 renker:1 thank:1 both:3 hits:6 improved:2 avoid:1 region:3 uncertainty:14 event:1 against:2 faces:1 focused:1 whole:1 experimental:4 fits:2 co:2 cm:6 simple:2 ca:1 relaxation:2 period:13 coincidence:2 losses:1 respect:1 throughout:1 pseudoscalar:2 ct:1 better:1 jetp:1 described:2 raise:1 bardin:1 source:1 would:1 west:1 acceptance:3 radiative:3 carey:1 been:4 reduction:1 production:2 azimuthal:1 expected:2 muons:12 guggenheim:1 life:2 1950s:1 longitudinally:1 precision:5 determination:4 systematic:13 spin:5 buffer:1 finds:1 case:1 uncertain:1 solid:1 engineering:1 kentucky:1 air:1 will:3 near:1 suppose:1 behavior:1 error:4 stopping:5 taking:3 procedure:4 va:1 layer:1 settles:1 orientation:3 coupled:1 almost:1 vk:3 thus:1 them:1 surface:1 off:1 positrons:4 itself:1 owing:1 il:2 conf:1 pileup:3 helium:2 schael:1 czakon:1 since:2 barnes:3 began:1 intrinsic:1 same:3 any:1 shorter:1 shifts:3 odom:1 split:1 units:1 plates:2 several:1 events:4 uncharged:1 higher:2 status:1 independent:3 used:4 nio:1 optic:1 trajectories:1 companion:1 lowenergy:1 cr:1 caen:1 cycle:3 relies:1 center:2 pµ:7 minimize:1 acknowledge:1 well:1 roughly:1 analysis:3 edge:2 residuals:4 scintillator:6 consistency:2 position:3 model:3 charged:1 morenzoni:1 muon:20 flat:2 less:5 being:1 accurate:1 v6t:1 obtain:1 rest:1 sources:1 underlying:1 voltage:2 world:4 paul:1 briefly:1 scattering:1 multiples:1 previous:3 oriented:1 generous:1 integer:1 vious:1 mirrored:2 signals:2 reasons:1 internal:2 lett:5 fluctuation:1 input:4 extensive:1 plasma:1 backscatter:1 bin:1 discriminators:1 tests:2 psi:1 depends:1 read:1 replaced:1 earle:1 spanned:1 early:1 test:2 indicative:1 background:3 vacuum:2 press:1 using:11 height:1 occurring:1 loss:1 sorting:1 imposed:1 shaped:1 signal:1 serves:1 manifest:1 chamber:1 imposes:1 mhz:4 modified:1 always:1 output:1 response:3 reduced:1 spins:1 grouping:1 parity:1 because:2 qed:4 crowe:1 successfully:1 back:1 examples:1 table:3 multiple:1 finite:1 transport:1 provided:1 total:2 lead:1 electromagnetic:1 tube:1 measurements:4 recorded:3 exceeding:1 per:2 instantaneous:1 waveform:1 does:2 exit:2 provides:2 assuming:1 prod:1 proc:1 restoring:1 biased:1 noise:2 run:4 power:2 bc:2 tdc:10 sub:2 lose:1 agreement:3 srim:2 step:1 variation:2 found:3 beampipe:1 earlier:1 panel:1 comparison:2 central:1 ferromagnetic:2 blackburn:1 kinoshita:2 anomalous:1 dependence:1 range:6 d69:1 stuart:5 d60:1 software:1 rev:7 coverage:1 communication:1 into:3 within:1 ppm:26 negative:2 down:1 monterey:1 determine:2 sov:1 accumulated:1 mrad:1 conceptually:1 pentagon:1 alloy:1 uncertainties:3 fast:1 van:4 area:1 segment:1 support:1 initial:2 duplicate:1 long:2 width:3 window:3 inner:4 fraction:3 upwards:1 was:17 dieters:1 lowest:1 considerably:1 complete:1 form:1 awramik:1 removes:1 triangular:1 but:2 histogram:1 timing:3 taken:1 repeated:1 gain:4 larger:1 line:2 removed:3 relaxes:1 mylar:1 longer:1 directed:1 pull:1 made:1 arranged:1 consist:1 up:1 theoretical:1 placed:1 frequency:8 fermi:7 2πt:1 distribution:5 b437:1 calculated:1 scatters:1 aa:1 khz:1 constant:11 int:1 dof:4 ak:10 condition:1 direction:2 single:1 periods:3 laboratory:2 lifetime:12 fixed:4 constructed:1 hit:3 compared:2 nl:1 na:6 when:4 detail:1 virtual:1 illinois:1 other:1 unaccounted:1 department:6 defines:1 ns:13 polar:1 differential:1 elements:3 berman:2 problems:1 deflection:1 n0:2 important:1 peak:1 additionally:1 discharge:1 astronomy:1 structure:3 balloon:1 d29:1 simon:1 independently:1 coupling:4 statistical:3 together:3 inset:2 implied:1 mass:1 time:21 push:1 resolution:1 having:4 evenly:1 |
0704.1984.txt |@word abundances:9 partial:2 consider:6 iterator:2 melts:1 rev:9 until:1 rod:7 results:27 heenen:2 leads:12 scalar:4 per:5 compliance:1 consists:2 sci:1 u2k:1 contributions:2 looking:1 inverse:1 depend:1 calculate:3 integral:2 iii:5 technique:2 orthonormalized:1 containing:1 tn:2 summarised:3 program:1 those:13 th:4 stable:4 tf:18 characterised:1 presentation:2 worth:1 hill:1 applied:1 global:4 worse:1 advantage:1 very:7 standards:1 ρout:3 ρc:15 geometrical:2 bjorken:1 indication:1 electron:3 eberhard:1 sensitivity:1 formula:4 bubbles:1 difference:1 exact:1 deformations:2 condition:2 generalised:1 school:1 moya:1 solves:1 presented:5 turns:2 t2:8 solution:7 t0:2 t1:4 large:5 solved:3 differential:2 visible:1 small:4 eigenvalues:1 bertsch:2 configurations:1 favoured:1 application:1 employing:8 force:3 occurrence:3 trend:1 oscillator:2 consistent:9 d3:3 iγµ:1 approximation:18 zero:8 bracco:1 evaluated:5 ρin:1 further:5 even:6 employ:2 errors:2 deeply:1 section:8 axes:1 crust:9 favour:1 uniform:1 cell:30 consistently:1 evoked:1 purpose:2 above:3 obvious:2 increasing:4 method:16 slabs:2 body:1 inspect:1 led:1 9th:1 saperstein:1 exchange:1 respectively:5 cylindrical:1 component:8 here:5 perpendicular:1 behaviour:1 desired:2 asymmetry:1 mev:16 operating:1 ansatz:5 groups:1 avancini:1 represented:2 consideration:5 along:3 quite:1 equations:18 obtained:19 search:1 balance:3 εk:5 study:2 larger:13 allows:2 krieger:2 scatter:1 suggests:1 amount:2 hfin:3 resulting:12 poisson:1 vcoul:2 comput:1 studies:6 summarising:1 emerge:1 via:1 3e2:1 apr:1 requiring:1 triaxial:3 replace:1 neutrons:14 jˆz:1 vc:3 decrease:1 m2ω:1 neutrino:2 meson:7 m2ρ:1 m2σ:2 derivatives:1 use:6 charge:5 reflected:1 asymptotic:1 probabilities:2 positive:4 continuous:1 contains:5 quasi:29 next:2 few:3 nucl:15 wood:4 therefore:11 bonche:4 taken:4 orthonormalization:1 theoretical:1 reflects:2 more:3 introducing:2 almost:1 elliptic:1 becomes:1 operators:1 under:5 limitation:1 esurf:1 tested:1 hofmann:1 far:1 particular:2 actual:1 bα:10 iv:1 effort:1 abundance:7 high:3 account:9 include:1 ρe:4 m2κ:1 deformed:2 equation:15 work:1 protons:11 ρn:5 ρq:12 ρp:6 ρs:3 fock:24 values:13 rewritten:1 evolved:2 following:8 drops:4 example:12 numbers:3 f0:9 compare:1 weaker:1 figure:3 give:1 calculation:10 relativistic:24 cited:1 c75:1 states:8 minimum:3 performed:7 want:2 rods:3 dfg:1 matrices:2 simple:1 axis:2 ρ2p:3 huge:1 ti:1 algorithm:2 varied:1 optimised:1 provide:3 discussion:5 means:4 uther:4 occur:4 machine:1 how:1 criterion:1 ψg:2 dotted:4 plus:3 parameter:16 ρ2n:3 profile:4 tension:1 shells:1 de:1 description:7 information:1 may:5 demonstrates:1 after:6 derived:5 needs:1 2x1:5 tries:1 plane:5 value:12 physik:1 waves:1 fi:5 choice:1 data:1 response:2 constants:1 realized:2 short:1 natural:2 outline:2 effective:12 keil:1 karls:1 lines:4 correspond:3 element:1 fraction:2 accelerated:1 so:8 allow:6 representation:2 conjugation:1 order:8 typical:1 invariance:2 integrated:1 s0:2 wigner:14 reversal:2 nucleon:12 indeed:2 over:2 entries:1 vary:1 choose:1 years:1 stability:1 course:1 xi:9 london:1 thesis:1 differs:1 existence:1 kinetic:4 still:1 its:2 before:1 τn:2 regions:1 some:2 transitions:6 outer:1 probability:1 fit:4 εc:1 chosen:2 aν:1 adaption:1 lm:3 exhibits:1 better:1 static:2 complex:2 microscopic:4 systems:2 saxon:4 clusters:2 main:3 might:4 h0:3 τp:2 τq:2 focussed:1 non:2 good:1 ηk:6 greiner:1 runs:1 investigated:4 bound:2 framework:1 fayans:1 skyrme:37 equidistant:1 effects:13 they:3 instead:1 feature:2 thus:1 now:2 discuss:1 wiley:1 represents:1 term:22 gets:6 dirac:14 name:2 lies:1 hamiltonian:12 orthonormal:3 merge:2 slipping:1 xy:1 mode:1 each:1 truncate:1 2m:5 universit:2 2j:1 mean:21 homogeneous:24 spinor:5 square:1 financial:1 significantly:3 ek:4 series:2 energy:47 reduce:1 idea:2 related:1 inhomogeneous:13 used:13 isospin:5 obtains:2 measure:1 quantum:2 our:7 approximated:2 beyond:2 eq:12 preconditioning:1 special:4 out:8 densitydependent:1 unbound:1 matrix:3 borderline:2 factors:1 gradient:11 res:1 furthermore:4 since:3 lagrangian:4 denotes:2 increase:3 re:6 contained:2 investigation:1 asymmetries:2 favours:1 got:1 adaptive:1 evaluation:2 ri:1 red:1 gram:2 earlier:2 mρ:1 linear:6 mσ:1 interactions:2 singularities:2 ecm:2 mω:1 free:2 standard:2 c65:1 approaches:3 threedimensional:1 formation:9 york:4 ramos:1 region:8 e2:2 inhomogeneities:1 pairs:4 interaction:11 cured:1 r1:3 r2:2 applications:2 determining:1 could:3 transition:5 iterative:2 noted:1 motion:1 turn:1 length:1 mesh:7 iso:2 due:4 incorporated:1 signature:3 hence:3 hadrons:1 top:5 first:8 origin:2 already:3 xn:1 features:1 symmetry:7 upper:9 third:1 wave:26 number:4 theoretische:1 restrict:2 smaller:7 done:1 directly:1 compared:9 ring:1 angular:2 xt:1 size:5 given:4 cartesian:10 temperature:1 indicate:1 introduction:3 leading:1 5th:1 behaves:1 system:2 parallel:3 needed:1 jackson:1 assumption:2 listed:1 calculations:63 2fi:1 scheme:4 structures:41 final:3 oyamatsu:2 shell:7 starting:1 stars:8 baldo:1 asymmetric:2 baryon:8 reversed:2 2am:1 agree:1 required:3 part:10 ubingen:4 x2:6 x3:2 x0:2 x1:5 representing:1 than:10 coefficients:3 center:8 epair:2 distance:3 parts:1 variational:3 determines:1 unfortunately:1 prevent:1 require:1 fm5:4 iteration:4 depends:5 ranging:1 matter:40 determined:5 vautherin:6 were:2 rmf:5 anomalous:5 treated:1 garrido:2 decompose:1 displays:1 exhibit:1 lowest:1 fig:27 vector:5 symmetries:9 sea:10 border:2 reinhard:2 correction:1 turned:1 curves:1 meyer:1 manner:3 conjugate:5 cumbersome:1 fµν:1 occupied:1 any:2 strength:3 depending:4 efficient:2 self:8 able:1 isolated:1 converges:2 note:3 heff:4 recommended:1 potential:1 horowitz:2 take:2 forces:2 online:6 davies:5 εf:7 gω:4 accuracy:1 c7:1 formulas:1 differences:3 serot:3 investigations:1 whole:2 object:1 reach:1 paid:1 most:2 germany:1 significant:3 phase:5 baryons:2 montani:2 tensor:1 hestenes:1 operate:1 considered:12 calculated:10 seki:1 ways:1 points:3 electrons:4 reflections:1 exp:7 aµ:2 hashimoto:1 typically:3 sum:1 eliminating:1 quantity:1 optimal:1 thomas:14 hyper:1 phenomenon:1 show:2 text:3 supported:1 discovered:1 radii:1 pethick:1 solutions:1 schuck:2 fine:1 spacings:2 occupation:6 tdhf:1 finally:6 based:2 parameters:4 baryonic:8 implementation:1 parametrise:1 blue:1 written:2 should:2 only:5 going:3 black:2 rich:1 developed:2 employed:1 local:12 equilibrium:7 do:5 dk:1 klein:1 get:5 dependent:4 there:2 sparse:1 overall:1 menezes:1 obtain:12 c38:1 rest:1 ϕk:33 altogether:1 dv:2 dr:4 restart:1 symbols:5 evolution:1 densities:42 basel:1 approach:22 arxiv:1 yield:6 consisting:2 reid:1 investigate:2 predicted:2 contain:1 fixed:1 enhances:1 set:14 observes:2 guerra:1 uq:2 frame:2 correlations:9 up:5 observed:1 argued:1 see:8 num:4 radius:3 result:8 seitz:14 w0:4 discussions:3 springer:1 alternative:1 techniques:1 αp:1 computer:1 eigenfunctions:2 lots:1 nuclear:47 review:1 label:1 boundaries:1 sets:1 state:2 readjusted:2 various:9 closed:3 between:12 limit:5 boundary:13 conditions:6 reinhardt:1 wide:1 terms:7 reproduced:4 jz:1 uϕ:4 modify:1 attention:2 p2i:1 however:9 enters:1 ws:29 extent:1 jd:1 lb:3 uχ:4 vanish:1 distribution:5 suggested:1 both:5 essentially:2 σb:1 taking:3 conclusions:2 c5:1 nomenclature:1 hϕ:2 sensitive:2 tq:1 became:1 und:1 interesting:1 parametrisations:4 contribution:3 gσ:4 expression:1 masses:2 load:1 adjusted:5 solving:3 fields:5 point:3 color:10 seems:1 ca:1 stiefel:1 harmonic:2 proton:28 2nd:1 directions:3 coordinates:4 right:5 slater:1 table:7 rep:1 drell:1 panel:15 math:1 considering:3 described:5 second:3 basis:5 addition:2 help:1 three:2 been:25 pb:1 reduction:2 much:2 treat:1 basic:1 expected:2 pk:6 ph:1 hardly:1 ann:2 xz:3 define:2 box:13 direction:4 contribute:1 corresponding:12 searches:1 truncations:1 droplets:4 sufficient:1 gas:1 new:6 gap:14 bulk:3 fritz:2 observe:3 derivative:2 brink:1 spin:8 present:6 case:14 intriguing:2 schmidt:2 critical:2 graz:1 exponential:3 pacs:1 solid:3 straight:1 expanded:1 localisation:1 profiles:8 deformation:2 will:4 parametrisation:7 while:2 replaced:1 shall:1 many:1 evaluates:1 fm:56 2k:2 σa:1 procedure:9 identical:3 sly4:2 unitary:1 schaeffer:1 find:2 phenomenological:1 vi:1 prolate:1 vk:2 binding:3 kleinmann:1 surface:18 equal:3 ii:3 cluster:1 haensel:1 im:6 ax:2 ready:1 fluidity:1 fm3:1 da:2 finds:3 around:10 orbital:2 different:13 magierski:2 propagation:1 perform:1 distributions:7 slab:9 quadratic:1 preferentially:1 same:6 check:1 periodic:5 split:1 pauli:4 modification:1 plates:2 ravenhall:1 finite:12 neutron:20 european:1 fairly:1 readjustment:1 literature:1 cubic:13 numerical:15 effect:2 v0:2 constraining:1 levels:1 uses:1 introduce:1 potentials:1 infinite:5 frequently:2 hartree:27 mentioning:1 lower:10 weakly:1 off:1 modes:1 c69:1 makes:1 c64:1 no:4 well:9 drip:1 c60:1 schroedinger:2 academic:1 without:2 solve:7 components:3 dashed:4 coordinate:6 model:12 arising:1 dimension:1 left:6 spherical:17 less:1 being:1 percent:5 accurate:3 half:1 keeping:1 4th:1 shape:8 yamada:1 identify:2 momenta:1 λh:1 scattering:3 eigenstates:1 previous:1 adv:1 cut:1 density:89 had:1 weiss:2 improvement:1 lattice:3 add:1 transformed:1 treatment:1 theorem:1 iπ:1 iσ:1 transformation:2 momentum:7 real:1 pair:1 tests:1 aspects:1 analogy:1 decided:1 eigenvalue:2 read:1 evaluate:2 possible:3 corresponds:3 increases:1 electrodynamics:1 reliable:2 press:1 using:13 sedrakian:1 disadvantage:1 iida:1 loss:1 theor:1 c67:1 like:13 particle:16 sizes:1 according:3 reduces:1 identifying:1 δq:1 shapes:3 steps:2 either:3 integrals:1 popular:1 mcgraw:1 nucleons:7 reduced:4 replacement:1 parity:6 satisfactory:1 drop:1 methods:3 classical:1 truncated:1 phenomena:3 searching:1 rec:1 truncates:1 a635:1 respect:3 a579:1 neglecting:2 opacities:1 possibilities:1 total:3 describing:3 calculating:2 lead:5 realistic:2 electromagnetic:1 vacuum:1 normal:1 integration:1 comments:1 mesons:2 contrast:1 chabanat:1 does:3 contact:1 provides:2 assuming:6 prog:2 yields:2 moderate:1 bessel:1 displayed:15 refer:1 inserting:2 walecka:1 flocard:2 bold:1 indicated:2 reaching:1 radial:2 hso:3 forming:3 interval:2 bt:1 step:18 underestimating:1 leptons:1 σp:9 pasta:3 imaginary:12 refers:1 properties:12 hartreefock:2 comparison:6 about:5 pα:8 central:5 column:8 discussed:5 dependence:4 o:4 practical:2 range:7 repulsion:1 artefact:2 mixed:1 2x0:2 2x3:2 2x2:5 slightly:2 lenske:1 allowing:1 enhancement:1 discretization:2 opacity:1 inclusion:3 h3:3 into:10 within:14 numerically:3 functional:3 negative:1 eqs:2 neutrality:1 appropriate:6 because:1 laplacian:1 operator:7 ea0:1 theoretically:1 clustering:1 spinors:4 institut:1 additional:2 comparing:2 assumed:3 support:1 pairing:24 question:1 sarriguren:1 fast:3 start:1 describes:1 strayer:1 inner:2 way:6 ed:1 was:5 assumes:1 etc:1 function:12 considerably:1 gρ:4 form:9 energies:12 bur:1 hs:2 adjusting:1 minimise:4 but:9 esbensen:2 volume:3 hk:3 neutral:2 hierarchical:1 recoil:1 gain:4 convergence:3 line:5 hf:23 truncation:1 made:1 applying:4 calls:1 embedded:4 characteristic:1 cells:8 homog:2 smooth:3 maximum:2 ur:1 peripheral:4 discretized:2 below:3 gaps:1 exploration:1 3t1:4 uk:2 planes:3 fluctuations:1 problem:4 panels:1 similar:5 called:2 interplay:1 mechanics:1 vk2:3 ab:1 constant:7 factor:1 defined:6 certain:4 lint:3 aj:3 influence:1 maruhn:1 general:2 aq:1 single:14 pˆ:1 predictions:1 hcoul:3 formalism:1 commuting:1 operation:3 performing:2 functions:24 gordan:1 nn:3 variety:4 fixing:1 individual:1 when:1 green:3 thomasfermi:1 graduate:1 field:28 other:3 details:3 nat:1 test:2 really:1 diagonals:1 deviation:1 briefly:3 elements:2 star:1 clean:1 excitation:1 models:1 problems:3 bottom:4 variation:1 includes:1 a0:8 important:1 nucleus:2 retardation:1 suppression:2 included:1 fermi:21 structure:20 rq:3 ago:1 droplet:3 implies:2 coupling:1 coulomb:5 practically:1 assume:1 physics:1 solver:1 space:4 rather:1 orbit:6 together:3 reproduce:2 mass:7 fact:1 time:25 n0:2 appl:1 nuclei:17 once:1 requires:2 strings:2 bcs:5 |
0704.1985.txt |@word gw:3 secondly:1 m2w:4 weizsacker:1 consider:3 gp:1 squared:1 results:9 gg:1 gf:7 1gev:1 research:2 contributions:8 vev:1 certainly:1 bremsstrahlung:4 terms:11 calculate:2 graph:1 technique:5 finally:1 preserved:1 include:2 advice:1 p2:2 amplitudes:4 federation:1 lrg:7 very:1 rise:1 q1µ:6 p1:1 summarized:1 exact:1 2m2w:1 condition:3 four:3 school:1 retaining:1 purely:1 evaluation:5 integrating:2 t2:3 t1:3 large:11 fadeev:1 small:4 noted:1 uem:1 jhep:1 smaller:4 tel:2 miller:2 estimates:2 prediction:1 divergencies:2 ms2:1 approximation:1 second:8 α2s:2 evaluated:6 further:1 estimated:1 sub:15 laenen:1 giving:4 section:37 sul:1 near:1 agrees:1 khoze:3 version:1 above:2 new:2 method:1 1fb:1 coefficient:2 ibid:1 exchange:9 here:4 4xy:5 q12:3 bremstrahlung:1 along:1 quark:29 logarithmic:1 dp2:1 obtained:1 search:1 incoming:3 vectors:2 correct:1 conveniently:1 shaded:2 quotient:1 via:5 useful:1 gluons:10 explained:3 dedicated:1 gluon:31 total:1 use:2 graphs:1 takes:12 would:2 calculation:4 depicted:1 come:1 therefore:4 m2:35 taken:9 diagrams:1 more:2 separated:1 introducing:1 israel:2 gotsman:1 becomes:4 naive:2 emission:1 levin:1 appendix:6 observations:1 particular:1 known:3 cases:2 must:4 logarithm:1 ii:4 account:11 mf:19 mb:1 science:4 equation:1 protons:9 mh:90 d56:1 mt:5 mw:5 regions:1 values:3 mp:1 following:6 spontaneous:1 tau:1 lτ:2 lσ:2 figure:7 give:5 process:12 numerator:6 neglected:2 shard:4 high:1 allowed:1 guarantee:1 needs:1 end:1 b401:1 rather:2 s2:10 s1:19 breaking:1 lepton:13 df:1 lµ:5 4αs:1 instead:3 profile:1 fs:2 max:2 ladder:3 after:10 derived:6 diagram:8 hence:15 fb:7 produce:1 phenomenological:1 faculty:1 multiplication:1 data:1 constants:2 lhc:14 higgs:85 grant:2 explicit:1 su:1 so:6 specifying:1 reduced:2 lν:4 order:9 gµν:18 typical:3 exclusive:32 six:7 hadroproduction:1 indeed:1 over:41 altogether:1 produced:2 experiments:1 through:9 same:1 satisfies:1 still:1 its:1 ryskin:3 destructively:1 write:1 style:1 derive:3 probability:18 rizzo:1 energies:2 interesting:1 masses:2 boson:24 writing:1 aviv:2 production:55 fig:52 pν2:2 main:2 easier:1 lx:2 eur:1 non:5 altarelli:1 evolution:1 effects:1 they:1 nov:1 inelastic:1 s0:19 densities:1 2t:1 february:1 2s:3 january:1 university:1 2x:3 leading:1 labeling:1 possibilities:2 filling:1 magnitude:5 l2:8 turns:4 found:5 2h:4 side:4 2j:1 mean:1 em:1 series:1 hard:7 reduce:1 gaussian:2 gaps:12 obtains:2 loops:3 organised:1 eq:54 out:4 shown:28 factors:3 m2t:13 integrates:2 since:4 induces:1 cancels:1 denotes:10 particles:2 re:9 cess:1 formula:1 m2f:40 induced:1 ref:14 integrated:1 foundation:2 theory:4 colorless:1 gf2:8 mechanisms:4 transfer:1 standard:8 reason:1 term:6 b126:1 region:6 detecting:1 acker:1 beginning:1 e2:2 definition:1 derivation:1 ministry:1 could:5 similarly:1 dijet:1 plane:1 4p2:1 signature:1 corrections:2 integrand:7 simplifies:1 symmetry:1 upper:2 d22:2 channels:1 clear:1 xy:7 wasn:1 precisely:1 tively:1 illustrate:1 given:16 indicate:1 introduction:2 unknown:2 top:6 behaves:1 sackler:1 approximately:1 their:1 1b:1 fermions:7 calculations:2 final:4 williams:2 gives:10 statement:1 rest:3 academy:1 exactly:6 transverse:2 part:2 x2:2 x1:5 than:3 coefficients:1 expanding:3 sections:2 flavours:20 states:1 amplitude:33 were:2 negatively:1 function:10 motivation:2 sees:1 rewrite:1 lines:3 canceling:1 showers:1 any:1 contents:1 nikhef:1 depending:1 convenient:2 responsible:1 isolate:2 mechanism:5 note:2 k2:7 k1:4 potential:1 take:5 mip:10 channel:8 trace:3 rhs:14 denominator:1 satisfy:1 plugging:2 singlet:1 most:2 comparing:1 multiply:2 bsf:1 acknowledgements:2 herman:1 diffractive:13 exc:9 calculated:10 flow:5 vertices:1 typeset:1 feynman:6 se:1 exp:9 left:2 physics:3 sum:15 slope:1 qcd:2 emerging:3 hyper:1 show:1 supported:1 subprocess:27 q1ν:10 100gev:1 gauge:16 keywords:1 dγ1:5 d2:8 d3:3 nlo:2 d1:3 q1:18 aπ:3 sional:1 q2:43 based:1 q4:3 written:3 should:3 only:7 explicitly:1 screening:1 factor:15 integrate:2 aµν:14 first:2 do:1 triangle:40 gev:7 notation:5 3αs:19 dd:4 expectation:1 2q1:1 k1t:2 listed:2 dx:17 dy:13 2mh:1 du:1 differentiating:1 secondary:3 processes:14 qt:1 founded:1 israeli:2 arxiv:5 remove:1 imposed:1 paper:11 predicted:3 double:6 including:3 ignored:1 multiplying:2 transferred:3 culture:1 namely:12 result:13 discussions:1 close:1 sport:1 best:1 subject:1 αs:6 qµ:3 dγ2:6 tend:1 outside:1 between:7 invariant:14 approach:4 email:1 15th:1 multiplied:3 bt1:3 bt2:3 initially:1 screen:1 weak:6 however:7 ln2:2 vanishing:1 electroweak:1 ladders:1 suppressed:2 pµ1:2 thank:2 both:1 prospects:1 piece:2 last:2 limits:3 many:2 taking:6 decay:1 space:2 ln:56 sudakov:3 contribution:12 expression:16 experimental:1 m2p:2 afterwards:1 point:8 corresponds:2 proton:12 2nd:1 dimensional:5 taylor:1 simply:1 bγ:1 cancel:3 table:7 fruitful:1 q2ν:6 considering:2 forms:1 pp:6 tevatron:1 bfkl:7 radiative:1 due:2 been:3 screened:1 fusions:1 much:1 4παem:10 basic:1 expected:4 ph:8 direction:1 contribute:1 c23:1 suppress:2 formed:3 photon:8 gap:4 external:2 c2:2 present:4 case:25 replaces:1 p4:1 crossed:8 expanded:1 value:10 will:12 while:1 replaced:2 evaluating:2 promising:1 du2:1 humanities:1 couplings:7 loop:11 gamma:1 larger:1 examines:1 almost:2 ip:59 refs:2 thus:1 equal:1 couples:3 itself:1 il:1 vanish:1 fermion:30 disappear:1 gs2:1 descent:4 april:1 parisi:1 divergences:1 cross:27 k2t:2 dγ:1 pomeron:11 parts:1 potentially:1 digamma:1 units:1 electro:3 higher:1 used:10 infinity:1 raymond:1 see:13 numerical:1 hand:3 driven:1 changing:1 invariance:2 lower:1 weakly:2 2gw:1 k22:2 colour:5 min:2 s20:2 without:1 comes:2 2gf:3 lim:1 firstly:1 model:4 dimension:2 charged:3 interferes:1 α4s:2 just:1 less:2 qν:3 competitive:5 q2µ:12 summed:4 momenta:4 scattering:16 previous:2 adding:1 now:5 preprint:1 density:9 photons:4 except:1 qx2:1 qx1:1 lett:1 remaining:1 momentum:12 gave:1 around:4 depends:1 demands:1 rules:4 evaluate:2 survival:15 sums:1 possible:5 integrations:1 fusion:43 background:2 vacuum:1 press:1 using:10 depicts:1 like:2 modifications:1 necessary:4 dq2:3 particle:1 follows:2 signal:3 popov:1 b106:2 either:2 martin:3 anti:10 soft:1 reduces:5 because:3 deal:1 polylog:4 motive:1 born:6 q22:3 respect:3 gνσ:1 gνρ:1 rapidity:16 ellis:2 dimensions:7 illustrated:2 electromagnetic:7 quarks:10 mγγ:2 integration:13 2xy:1 2g:1 mrst:2 tends:1 posi:1 vertex:3 each:3 step:2 σip:3 q2t:1 leptons:3 substitution:3 parametres:3 post:1 kernel:1 proceed:1 thomas:1 b359:1 central:32 saddle:6 anomalous:4 dependence:2 essential:1 range:1 weizs:1 addendum:1 introduced:3 automatically:2 rev:3 significant:2 presence:1 into:15 integral:14 three:6 variable:2 right:2 references:1 parton:1 proportional:10 physical:1 k12:2 hep:5 additional:1 area:2 assumed:10 there:9 u0:4 way:4 2m:1 kinematics:2 was:12 lowest:1 4q2:1 form:20 memory:1 removes:1 extended:1 russian:2 helpful:1 line:8 true:3 observation:2 uy:1 instructive:1 multiplicity:1 up:4 lead:1 below:3 un:2 limit:5 steepest:4 α2em:1 similar:1 emit:1 ac:1 ab:4 constant:2 af:6 defined:2 abstract:1 describe:1 general:1 single:3 regularisation:4 dawson:1 formalism:1 proceeds:2 triangles:1 fill:3 compared:2 no:4 dashed:1 when:10 detail:1 plugged:1 other:1 details:2 isodoublet:1 parameterizations:1 department:1 conclusion:3 nucl:4 calculating:1 αem:10 includes:3 a3:1 5gev:1 included:4 astronomy:1 ifµν:6 ghost:1 coupling:8 4x:3 dω:1 required:1 mass:12 4h:2 time:2 requires:3 |
0704.1986.txt |@word consider:1 remarkable:1 global:2 results:3 scalar:5 proposition:4 tenseurs:1 sch:2 whose:1 γy:3 γx:2 tu:4 γk:1 γj:1 finally:1 tm:4 present:2 th:1 under:4 norm:1 finslerian:2 voutier:1 corollary:1 every:4 exact:5 generalised:1 presented:1 pullback:7 vector:59 dix:6 noted:3 levicivita:1 des:2 zero:2 akbar:1 theory:3 established:2 nonlinear:7 plays:1 section:3 contracted:1 brief:1 version:1 sur:1 above:3 sup:1 international:1 degree:3 respectively:5 here:1 following:7 objects:1 tangent:7 groups:2 represented:1 november:1 change:4 morphisms:1 obtained:2 vectors:2 proof:8 changes:1 uniquely:1 equivalence:2 useful:1 classification:1 egypt:4 klein:2 kobayashi:1 use:1 takes:1 leurs:1 bundles:1 eσ:2 next:1 noting:2 memory:1 more:1 duality:2 operators:1 yahoo:1 curvature:14 everywhere:1 particular:1 known:2 foundations:1 hold:1 account:3 isomorphism:1 science:1 equation:4 work:4 γkx:1 homothety:1 remain:1 concepts:2 ρy:4 ρx:4 ρz:4 il:2 dedicated:1 give:1 dxk:1 cartan:12 sense:1 demonstratio:1 dh:1 get:4 hov:1 maps:2 ordinary:1 map:3 product:1 rise:1 algebra:1 applications:1 inst:2 faculty:1 horizontal:18 short:1 natural:3 whenever:1 so:2 fundamental:3 order:1 matsushima:1 closeness:1 matsumoto:1 held:1 paper:2 thesis:1 e2σ:4 satisfies:1 its:1 positional:1 eun:1 directional:3 relativity:1 coordinates:1 sprays:1 lr:2 derivative:13 defining:1 lx:1 introduce:2 fr:1 now:3 easily:2 characterizes:1 university:2 l2:2 found:1 entirely:1 homogeneous:3 en:2 cairo:3 eg:1 idea:1 related:1 investigated:1 our:1 special:3 etat:1 space:3 gradient:11 open:2 since:4 lagrangian:2 rf:1 investigation:1 denoted:5 formula:1 math:6 shows:1 linear:3 associate:1 free:1 randers:6 completely:2 york:3 definition:10 geometry:15 βx:17 βy:34 βz:21 hence:3 ext:1 omitted:1 directly:3 miss:1 given:8 necessarily:1 introduction:1 adjoint:2 πm:1 assumption:1 manifolds:3 πt:1 structures:1 gives:4 zadeh:1 positively:1 characterizations:2 was:1 submitted:1 determined:1 contrary:1 monomorphism:1 result:9 ann:3 argument:1 generalization:2 say:1 any:5 tπ:1 lie:1 self:2 generalized:3 interior:2 new:3 coincide:1 canonical:5 berwald:1 formulas:1 metrics:2 regular:5 connected:1 dekker:2 intrinsic:1 class:3 es:1 adopt:1 barred:1 yano:1 notion:5 fact:4 show:3 terminate:1 notations:1 spaces:5 relation:5 keywords:1 should:3 lemma:3 only:8 rich:3 integrable:2 constant:1 local:2 preliminaries:1 dl:4 dj:2 propri:1 notation:1 means:1 df:8 dg:4 de:9 expresses:1 du:4 dr:1 fields:20 arxiv:2 investigate:2 involutive:3 implication:2 grad:6 view:1 riemannian:6 set:2 ses:1 exists:3 ricci:2 module:3 connections:1 differentiable:5 subject:1 lyon:1 said:8 tensor:11 subsequent:1 written:1 various:2 closed:33 between:2 geometric:1 approach:1 terms:2 vertical:6 ju:3 spray:4 hypothesis:1 key:1 certaines:1 tensors:4 both:1 last:1 taking:2 la:1 connection:35 les:2 characterization:4 simple:1 dimensional:4 simply:1 assertions:1 nomizu:1 respect:4 throughout:1 connexion:1 torsion:11 conference:1 geometries:1 due:4 ker:2 whom:1 basic:1 ph:1 algebras:1 oγ:1 oβ:4 define:2 life:1 corresponding:2 cotangent:1 concerning:3 subspace:1 lift:3 tangente:1 general:3 formes:1 idπ:3 case:2 transformation:4 will:5 dept:1 suppose:1 property:4 conformal:5 ix:9 almost:1 endowed:1 metric:5 thus:2 marcel:2 finsler:41 im:5 vu:1 exterior:13 vx:1 ig:1 erie:1 inc:2 make:1 belong:2 arguments:4 finite:1 independent:1 used:1 assignment:1 interscience:1 publ:1 identity:3 fourier:2 nevertheless:1 well:1 coordinate:1 dimension:1 usual:3 isometry:1 manifold:17 connexions:1 being:4 resp:2 dose:1 profoundly:1 differentiation:2 scaler:4 apr:1 belongs:2 theorem:12 iτ:1 real:1 esiques:1 isomorphisms:1 iη:1 immediately:1 ams:1 unique:2 grenoble:2 necessary:1 follows:11 reduces:1 arbitrary:1 classical:2 sequence:1 erieures:1 some:7 deflection:1 nonzero:3 provided:1 conservative:1 ddj:1 ese:1 decomposition:1 prof:2 proc:1 refer:3 differential:2 pr:1 equivalent:2 relating:1 idx:1 idv:1 idt:1 o:11 extensions:1 idh:1 mixed:3 introduced:2 consequently:4 projectors:3 subset:2 soc:2 letters:1 subbundle:2 h2:1 into:2 integral:1 jγ:1 holonomy:1 references:1 operator:6 log:1 there:4 start:1 sections:2 energy:1 function:14 hx:4 hy:3 form:20 converse:1 hv:3 but:2 hu:2 ec:1 espaces:2 true:1 youssef:4 applying:1 characteristic:1 eod:1 dazord:1 us:1 liouville:1 distribution:9 called:14 associated:13 barthel:4 defined:25 certain:3 abstract:1 denote:1 proves:2 dκ:1 ax:14 homotheties:1 formalism:1 distributions:1 dα:3 again:1 functions:1 no:1 vanishes:5 nullit:1 field:30 setting:2 role:1 details:1 department:1 mathematics:1 elements:1 symbol:1 bundle:11 generated:2 important:1 sides:1 structure:6 dω:7 required:1 dπ:1 globales:1 equivalently:4 write:1 |
0704.1987.txt |@word limited:1 gt:13 gs:4 consider:11 chain:5 funct:1 equalities:1 brownian:2 results:1 proposition:27 entropy:3 into:3 stochastically:1 go:1 follow:1 soc:2 compact:1 preserves:1 inverse:1 ohya:1 qxq:2 equivalence:2 tr:1 tn:6 uniqueness:1 monotonically:6 tk:2 under:4 kms:6 include:1 norm:4 ta:1 applied:1 comm:2 string:1 g0:55 very:1 kω:11 springer:3 parry:1 corollary:5 entries:1 mixing:31 matrices:2 condition:9 induction:3 t2:3 t1:5 deals:1 discrete:1 convenience:1 vector:13 gauge:2 markov:45 homomorphism:3 dimens:1 upper:1 says:6 zi:1 zf:1 direct:1 literature:1 consists:1 imply:1 zx:1 irreducibility:1 further:8 dynamics:9 canonical:5 even:2 aim:7 xω:8 sub:17 section:15 uniform:1 indian:1 abt:9 above:6 sup:6 values:1 net:2 increasing:2 sauvageot:1 full:1 respectively:2 here:11 infin:1 modular:8 explore:4 address:3 along:2 strong:21 z0:3 xft:1 obtained:6 balance:1 commutant:5 involved:1 study:1 vectors:5 ab0:17 action:6 suitable:1 sci:1 accardi:1 via:1 useful:2 projection:47 family:5 f1:2 apr:1 requiring:1 pxp:15 prefer:1 limt:4 uxu:2 total:4 unit:4 use:8 quasi:1 asymptotic:7 prove:18 covariant:2 positive:10 ψp:2 contains:1 negative:2 properties:4 yj0:1 tm:3 xg0:1 centre:3 criteria:17 type:16 more:14 vk:1 duality:3 initiated:1 initial:1 operators:4 relat:1 reversible:2 particular:6 known:1 cases:1 hold:10 md:20 account:1 isomorphism:11 ma:1 recall:12 work:1 arveson:5 paragraph:1 obvious:8 ieg:3 following:35 example:4 proof:36 f0:21 claim:4 f2:2 multiindex:1 give:2 process:18 preserving:1 lindblad:3 scand:1 states:11 indicates:1 palle:3 numbers:2 sense:2 robinson:1 breaking:1 guarantee:1 end:13 lemma:2 rather:3 verify:21 s1:5 holds:5 carries:2 write:2 how:2 criterion:3 pure:27 sik:1 verlag:1 parameter:2 sim:1 map:19 fr:2 fs:6 ft:12 algebra:65 may:3 hence:31 explored:3 zω:3 fi:8 da:1 o:1 realized:1 natural:1 dynamical:15 third:1 whenever:4 light:1 counter:4 explicit:1 su:1 element:12 extremal:6 sj:12 si:17 so:37 sn:15 decreasing:5 representation:12 sa:4 morphism:3 order:1 typical:1 restriction:4 eg0:4 played:1 ith:1 indeed:3 choose:3 characteristic:2 xlk:1 already:1 london:1 da1:1 da2:1 y1:2 statements:6 satisfies:3 y2:2 its:3 before:2 τn:13 s2:3 τm:2 group:6 symmetry:4 maps:4 ln:1 interesting:2 fix:7 lj:3 lk:4 boson:1 li:5 systems:2 ψλn:1 ηn:2 x1p:1 mail:1 τt:176 main:2 τs:29 clude:1 maximal:3 non:12 good:3 yn:3 auto:3 investigated:1 isomorphic:9 framework:1 βh:1 ys:1 now:29 transparent:1 easily:3 gets:2 equality:7 homomorphisms:1 bhat:1 university:1 identified:2 gt1:2 theory:5 each:14 repeating:2 mean:1 subset:1 differential:1 ei:2 eg:9 communication:1 related:4 elementary:1 ball:1 erty:1 xs:1 quantum:27 our:13 beyond:1 extract:1 partial:1 rt:1 large:1 matrix:2 space:20 res:1 furthermore:3 since:35 mφ0:1 acting:8 investigation:2 surprise:1 wick:2 qkt:1 issue:3 math:13 shows:4 fiber:1 linear:2 associate:1 qf:1 little:2 admits:7 completely:17 put:1 org:2 subalgebras:1 inductive:15 e0:7 irreducible:1 minimality:1 determining:1 could:1 omit:1 βz:5 cuntz:4 βg:3 consequence:3 probab:1 subgroup:1 onto:9 top:1 first:11 separable:1 formulas:1 xi:2 xn:10 probability:2 xf:5 reflected:1 xe:1 price:1 infinite:2 xx:3 multiplying:1 simplified:2 relations:2 another:1 takesaki:4 xp:17 open:1 illustrate:2 given:4 temperature:1 similarly:2 introduction:1 adjoint:8 system:6 construct:1 assumption:1 eith:2 statement:3 rohlin:2 gives:1 exploring:7 continuous:8 proving:2 si1:2 required:2 part:6 x2:1 x3:1 translation:16 x1:7 completes:5 finitely:3 determines:1 mo3:1 cyclic:9 kishimoto:1 zero:3 gij:1 subsequence:1 determined:2 scalers:2 uhfd:58 enables:1 powers:8 zsi:1 projections:2 sak:1 false:1 zz:8 generality:1 reinhard:1 topics:1 spectrum:1 endomorphism:17 say:8 js1:3 xf0:6 need:5 bhp:1 complementing:1 st:4 any:60 sk:2 jour:1 self:1 τk:2 note:19 sciences:1 indexed:1 davies:1 jxj:1 stormer:3 unless:1 jsb:5 though:1 quote:1 jsn:3 nonlinear:1 plan:1 automorphism:11 nothing:1 class:2 s0:1 don:1 clear:1 face:1 kt:7 sd:1 physics:2 notion:2 fact:10 gain:1 sector:1 λs:1 dilations:1 show:5 absorbing:1 text:1 purity:7 relation:7 corner:3 trivial:12 find:11 dilation:5 completion:1 ytn:2 dissipative:1 enough:5 universal:1 analytic:3 only:30 explicitly:1 generators:1 factor:26 circle:1 local:2 achieve:1 directed:1 his:1 notation:1 get:9 routine:2 expectation:7 bratteli:4 words:1 competing:1 gen:1 closure:3 acm:2 processes:4 appeal:6 fields:1 arxiv:4 jorgensen:3 remove:1 investigate:5 ut:5 vincent:1 fixed:1 riemannian:1 set:20 modulo:3 statistical:1 exists:24 δji:1 kolmogorov:24 j0:8 j1:1 see:2 result:18 existence:1 fannes:2 acts:1 subject:1 sequences:1 ergodicity:10 αt:49 review:1 convex:1 λn:10 symmetric:7 originated:1 state:122 luc:1 closed:5 between:2 invariant:60 conditions:1 petz:1 terms:1 extend:4 jt:8 weak:19 however:9 js:6 hypothesis:5 jk:1 jd:1 bose:2 jg:4 wx:4 both:1 0p:1 last:7 reverse:3 qft:1 many:1 taking:3 equal:5 quantization:1 admit:4 0f:6 σs:12 inspired:1 hπ:6 monograph:2 σt:3 mechanics:1 point:13 simple:12 smith:1 harmonic:9 ce:1 dimensional:6 written:1 anti:1 decreases:2 spans:1 article:1 moreover:7 qsi:1 nachtergaele:2 semigroups:8 ensures:2 amer:1 described:4 commutative:3 second:1 equations:1 orthogonal:3 reduction:1 dropping:1 basic:1 ph:2 algebras:12 po:2 empty:2 define:4 ergodic:27 powerful:1 commutes:7 qsk:1 linearity:2 sufficient:9 j0b:2 po2:3 essentially:1 argument:7 stochastic:1 xλn:4 φp0:8 systematic:1 prescription:1 denote:1 spin:6 present:1 case:18 gns:11 chains:1 unlike:1 straight:1 value:1 will:15 suppose:2 compactness:1 behavior:2 shift:20 situation:3 property:42 λt1:3 unlikely:1 correspondence:1 detailed:1 unitary:9 αt2:1 αt1:2 vol:1 vi:2 von:54 ir:8 thus:65 ii:3 cluster:1 ik:1 itself:3 im:2 ρut:1 dual:2 ic:17 ie:1 φp:1 make:1 same:5 clearly:1 complex:1 split:1 hφ0:1 modification:1 proved:2 finite:4 subalgebra:2 difficult:1 independent:2 used:6 infinity:2 i1:2 i0:5 i2:1 flows:2 hand:4 driven:1 arrived:1 delicate:1 αtn:2 invariance:2 identity:2 recent:1 pa0:4 least:2 center:14 nevertheless:1 restricted:4 well:2 analysis:2 obviously:1 academic:1 without:2 comes:1 endomorphisms:5 calcutta:1 jean:1 con:1 left:2 isometry:1 manifold:1 popescu:3 λt:34 being:21 mo2:11 mo1:24 mo4:2 identify:1 atomic:16 facts:1 ii1:1 alternative:1 yet:1 captured:1 contradicting:1 preprint:2 scaler:4 generator:1 density:2 conclude:18 character:2 yt:6 lattice:5 add:1 belongs:1 extends:1 easy:3 theorem:43 complements:1 semigroup:41 real:2 possible:1 topology:6 increases:2 discreet:1 erated:1 press:2 integer:1 unique:13 necessary:5 success:1 tomita:2 identifying:2 follows:18 automorphisms:1 intertwines:1 steps:1 either:3 arbitrary:2 xsj:2 sakai:1 canonically:3 xsi:4 stationary:3 reduced:5 terminology:2 mathematical:2 ola:3 acad:1 functional:1 neumann:54 classical:4 sequence:7 conditional:8 some:12 abs:2 understood:1 b0:27 examples:1 respect:1 proper:1 provided:2 dense:2 trace:2 normal:58 prop:1 providence:1 does:2 exposition:1 assuming:1 yields:1 proc:3 sided:3 minimal:10 refer:6 equivalent:22 gji:1 λtn:3 bj:1 step:2 bp:2 br:5 zzd:2 hilbert:11 injective:3 takes:1 monomials:1 integers:2 central:3 carried:1 extension:4 qπ:1 od:34 http:2 factors:1 oa:1 mutually:3 range:5 frigerio:1 block:1 op:8 homogeneous:1 raised:1 cambridge:3 faithfulness:2 inclusion:8 noting:1 h0:6 bound:1 qω:2 appropriate:1 ηt:10 references:1 restatement:2 bjp:5 operator:11 next:3 often:1 span:2 deal:4 canad:1 assumed:1 support:24 there:27 question:3 normality:1 ordered:2 pa:2 forward:8 was:2 sinai:2 naturally:1 sympos:1 complete:5 form:3 converse:5 but:4 robert:1 construction:3 repeatedly:1 line:4 true:11 he:1 supx:3 commun:3 whether:5 wish:1 up:5 us:1 limit:22 verification:1 uk:7 parthasarathy:1 problem:4 similar:1 called:4 strongly:6 ac:2 diverges:1 associated:30 ad:3 defined:10 abstract:1 describe:2 am:7 direction:2 general:15 ap:1 ar:11 ing:1 commuting:6 check:11 faithful:26 no:6 werner:3 index:2 qλ:2 when:5 application:9 other:8 role:1 details:3 ap0:12 elements:13 subspace:10 symbol:1 includes:1 a1:1 a0:156 generated:15 important:1 bounded:3 anal:3 variable:3 po1:1 jones:1 correlated:3 implies:11 monomial:1 assume:7 unital:4 time:11 n0:9 appl:1 func:1 backward:7 original:1 once:14 |
0704.1988.txt |@word neighbors:3 limited:1 monte:2 sci:2 consider:1 global:1 activated:1 four:1 eds:1 l12:12 consists:1 expressions:2 contributions:2 als:1 gi:3 whose:3 calculate:4 critical:1 worth:1 applied:2 worse:1 very:1 deviates:1 account:2 difference:1 capillary:1 al3:7 leads:5 solution:22 small:1 becker:1 configurations:1 deschamps:1 dilute:1 ten:1 farkas:1 consistent:1 direct:1 approximation:14 go:2 rate:7 cost:1 7th:1 further:2 chem:1 carlo:2 zr:9 canonical:8 even:1 sum:2 expressed:2 sur:1 ground:2 method:2 contrast:2 coefficient:4 edited:1 exchange:1 respectively:3 gathered:1 component:1 understanding:1 met:1 mev:1 address:1 solute:6 µeq:3 deduced:2 obtained:6 involved:1 larger:1 allows:3 suitable:1 studies:1 apr:1 1st:1 use:6 would:1 distinct:1 positive:1 predictions:4 france:2 few:1 linear:3 tm:1 taken:2 bonds:1 more:4 3kt:1 becomes:1 factor:1 validity:2 rigid:1 particular:3 known:1 states:7 keeping:1 equation:1 values:1 temperatures:1 control:1 nearest:10 compare:1 predict:3 thermally:1 involve:1 assumptions:1 ual:7 tab:1 allowed:1 respective:1 provide:1 get:1 chemical:1 acta:3 parameter:3 ensemble:2 isotropic:2 simplicity:2 fr:1 express:1 woodward:1 description:2 thermodynamic:5 applications:1 wrong:2 plane:1 µal:5 data:1 short:4 effective:4 lines:1 correspond:1 st:2 ones:1 so:4 barbu:2 inhomogeneity:1 sc:9 order:16 holds:1 help:1 produces:1 developed:3 etot:1 emmanuel:2 symbols:1 london:1 statistical:2 er:1 kinetic:2 its:6 tendency:2 perfect:2 derive:1 thank:1 fit:1 la:2 energies:5 li:1 better:1 fig:4 precipitate:1 main:1 weber:1 good:5 cea:2 material:2 solubility:8 flipping:1 framework:1 compound:11 front:1 february:1 several:1 fully:3 2x:2 magnitude:1 characterized:1 mean:3 ei:4 another:1 doing:1 series:1 energy:34 yvette:1 entering:2 beyond:1 eq:13 mat:1 shown:3 jackson:1 impurity:1 3rd:1 since:2 rev:6 semi:5 bragg:9 nominal:3 demixing:1 correct:1 solvent:1 theory:9 interactions:5 free:28 beatty:1 term:1 care:1 definition:1 pairs:1 interaction:2 could:1 due:2 lte:22 berthier:1 first:10 already:1 powerful:1 number:4 xx:14 neglects:1 directly:1 electronic:1 size:1 given:6 temperature:5 service:1 start:1 ordering:5 leading:2 top:1 system:3 their:3 rates:1 too:2 williams:9 gives:1 tool:1 prediction:1 authors:1 than:8 coefficients:2 diffusion:6 third:4 approximations:5 xeq:17 second:10 loiseau:1 incorporates:1 function:2 comput:1 correction:3 kresse:1 mater:5 precipitating:3 need:2 concentration:7 constrained:1 occupied:1 linked:1 legrand:2 lie:2 depending:1 physique:2 isolated:1 mechanism:1 converges:1 fitting:1 potential:4 take:1 converged:1 green:1 stoichiometry:1 allow:1 any:1 phases:3 jst:2 alloy:3 fcc:5 letter:1 quantitative:1 phase:7 why:2 butterworth:1 considered:1 clear:1 partition:1 steady:1 properly:1 exp:13 kt:27 physics:1 lying:2 precise:2 show:1 vacancy:2 bring:1 relation:3 earth:1 turnbull:1 occupation:1 based:1 knowledge:1 parameters:8 explain:1 ngi:1 only:10 going:1 indeed:3 equilibrium:5 do:1 handle:1 gains:1 means:1 de:3 cannot:3 nearly:1 dx:2 despite:1 during:1 stability:1 aluminum:3 electroanal:1 conditions:2 arxiv:1 expansions:3 bad:1 precipitates:3 analytical:4 thanks:1 predictive:1 set:1 reference:1 observed:2 see:1 computer:1 discussions:1 terms:1 nuc:1 seidman:1 fails:1 µx:5 nature:2 sites:3 nucleation:33 written:3 between:7 geometric:1 approach:3 recently:1 missing:1 domb:1 however:1 le:2 interface:7 modeling:1 atoms:5 relying:1 both:5 limits:1 according:1 fulfilled:1 ln:7 improves:1 dated:1 contribution:3 expression:3 experimental:2 otherwise:1 simple:3 2kt:1 corresponds:1 applicability:1 table:1 considering:3 pp:2 configuration:1 described:1 transformations:1 thermodynamics:2 create:1 three:1 been:3 much:1 lefebvre:1 combined:1 basic:1 pn:6 pm:2 direction:1 arises:1 corresponding:9 deeper:1 quantities:3 modelling:1 bulk:1 determination:1 derivative:1 case:3 exponential:1 developing:1 solid:27 estimations:1 value:2 transformation:1 cvm:5 volmer:1 seven:1 les:1 vol:2 refs:1 formulation:2 thus:8 site:1 surface:1 ceder:1 cluster:4 cond:1 hyland:1 binary:5 different:3 combination:1 make:2 same:7 orders:2 arguments:1 grand:5 modification:1 gets:1 higher:1 development:1 used:5 cubic:1 heinemann:1 hand:3 uses:1 potentials:1 relies:3 lower:1 well:2 hafner:1 academic:2 without:1 position:2 model:11 usual:2 being:1 generally:1 accurate:2 obtain:4 oxford:1 atomic:6 previous:1 ideal:7 lattice:8 easy:2 input:2 excited:9 build:1 around:1 sums:1 possible:1 press:2 using:1 precipitation:1 helpful:1 yb:1 appearing:1 like:7 success:1 discarded:1 martin:4 invaluable:1 because:1 classical:4 phenomena:1 back:1 calculated:2 happens:1 provided:1 cnt:13 calculating:2 lead:3 bottom:1 footing:1 per:2 does:4 provides:2 demonstrated:1 run:1 rohrer:1 oscillating:2 agreement:2 expansion:7 broken:1 bw:1 properties:1 stage:1 comparison:2 rare:1 simulation:1 remains:1 range:4 neighbor:7 asta:3 concentrations:2 oring:1 slightly:2 previously:1 into:3 within:3 negative:1 assess:1 inverting:1 amsterdam:1 orsay:1 comparing:1 initial:1 gif:1 low:6 way:2 editions:1 lowest:2 alloys:11 but:1 sophisticated:1 volume:1 state:9 atom:5 convergence:1 treats:1 ux:5 mtrl:1 limit:4 demonstrate:1 distribution:1 agree:1 ordered:2 defined:3 describe:3 simulations:6 functions:3 transitions:1 ingredients:1 when:7 rewriting:1 field:3 other:5 nat:1 ns:4 deviate:2 supersaturated:4 perpendicular:1 elements:1 energetic:1 excitation:1 variation:3 a0:3 a2:4 nucleus:2 stoichiometric:3 suited:1 included:2 structure:4 4x:1 assume:1 ehrenreich:1 required:1 saclay:1 northholland:1 recherches:1 understand:1 nuclei:2 requires:4 |
0704.1989.txt |@word homomorphism:5 consider:10 chain:1 invent:1 leads:2 proposition:21 entropy:1 computation:3 francesco:1 sci:1 preserves:2 ohya:1 tr:10 tn:1 uniqueness:4 tk:2 stable:1 tr1:1 kms:1 norm:3 case:19 string:1 far:1 choice:1 corollary:2 isomorphism:2 every:1 pt0:2 t2:1 t1:1 leave:1 discrete:4 vector:17 markov:35 shows:3 noted:1 dimens:1 smaller:1 says:5 zf:1 direct:1 zero:5 zx:2 zz:2 further:5 dynamics:5 fidaleo:1 canonical:2 aim:3 intersection:1 xω:7 filtration:2 sub:12 arveson:1 trivial:2 section:5 mf:1 indian:1 abt:4 goes:1 new:1 increasing:6 method:3 respectively:1 proper:1 here:3 following:21 explore:2 cos2:1 along:1 xζ:1 generalizing:1 commutant:7 involved:1 study:2 vectors:2 contradiction:4 ab0:17 action:1 suitable:1 jrf:1 via:1 ii1:30 projection:35 family:8 apr:1 total:1 subfactors:2 unit:1 positiveness:1 use:11 takes:2 prove:6 covariant:1 positive:7 visit:1 negative:1 properties:1 linear:2 m1:21 m0:11 criteria:1 volterra:1 type:59 more:9 multiplying:1 duality:1 operators:4 under:1 br1:1 reversible:1 normalized:1 particular:4 known:3 hold:5 iii:7 must:1 ii:17 springer:3 valued:1 mm:4 recall:9 mn:4 mk:2 mt:19 obvious:3 ms:6 canonically:2 arrive:1 example:1 proof:19 f0:35 claim:11 process:8 preserving:2 scand:1 states:2 numbers:1 sense:1 robinson:1 breaking:1 verlag:1 normalize:9 needs:2 end:10 lemma:1 verify:17 discussion:1 s0:2 maps:3 pure:4 e2m:12 parameter:3 map:19 product:2 fs:6 ft:15 algebra:23 xλ:1 respective:1 collection:1 explored:1 zω:3 multiplication:3 types:1 realized:2 natural:1 dynamical:9 whenever:7 explicit:1 yτ:1 su:1 st:22 sj:1 so:29 sn:16 s2:3 sc:1 representation:4 sa:4 order:2 typical:2 acts:2 devote:1 τr1:1 indeed:3 murray:2 paper:1 vito:1 statistical:1 y1:2 equip:1 satisfies:1 y2:2 its:1 before:2 τn:1 respect:1 group:2 symmetry:1 acknowledge:2 sauvageot:1 interesting:1 fix:9 boson:1 choose:1 mail:1 τt:59 h0:11 s1:5 non:9 good:2 yn:2 hφ0:1 yields:1 yz:1 they:3 τrn:3 now:27 realize:1 equality:1 homomorphisms:3 bhat:2 university:1 framework:1 identified:5 l2:15 each:9 repeating:2 subset:1 el:1 commuting:2 related:1 tracial:7 used:1 quantum:13 our:15 operation:1 out:1 acknowledgment:1 space:23 res:1 furthermore:2 since:23 induces:1 acting:11 investigation:1 π2m:1 rn:10 induced:1 induction:4 ri:2 math:9 rk:1 fiber:1 theory:5 associate:1 infin:1 possibility:1 standard:2 admits:4 completely:4 maths:1 relat:1 inductive:2 e0:72 care:1 definition:1 r1:6 r2:6 could:1 omit:1 introduction:1 invitation:1 hence:22 probab:1 onto:4 top:1 first:6 separable:7 xi:2 xn:8 probability:1 xf:5 reflected:1 nested:1 infinite:2 xy:8 done:1 approximately:1 another:1 xr:6 xp:4 open:1 xt:1 given:3 e1:26 minimality:1 tor:1 adjoint:6 system:5 construct:1 assumption:1 statement:2 realization:2 gives:1 continuous:10 temperley:2 required:2 employ:1 x0:2 x1:8 completes:6 finitely:1 determines:1 mo3:1 cyclic:8 roberto:1 see:1 ktn:1 yi0:1 tion:1 powers:1 sak:1 false:1 generality:2 ann:1 argument:3 endomorphism:6 say:3 longo:1 js1:4 xf0:9 need:3 bhp:1 element:13 any:30 generalizes:2 xrn:2 jour:1 min:1 self:1 able:1 note:11 sciences:1 without:2 davies:1 jxj:1 dilations:1 formulas:1 jsf:1 unless:2 trace:26 index:11 jsn:4 english:1 centro:1 simplify:1 connected:1 but:2 automorphism:3 class:1 observation:1 clear:1 countable:2 points:2 exp:2 physics:1 notion:3 fact:2 sector:1 hyper:12 show:7 absorbing:1 rings:1 notations:2 relation:5 d2:2 find:2 dilation:2 completion:3 ae0:1 ment:1 luc:1 enough:4 analytic:1 only:6 princeton:1 factor:47 constant:1 achieve:1 continuity:1 above:1 notation:1 get:7 expectation:3 da:2 rest:1 during:1 closure:1 processes:14 appeal:2 kt1:1 ie0:1 arxiv:1 ja0:1 investigate:1 though:1 london:1 vincent:1 discussing:1 kernel:1 set:12 exists:15 kolmogorov:6 j0:74 finiteness:1 result:3 existence:1 close:1 closer:1 αt:27 review:2 definite:1 originated:1 state:25 jtn:1 closed:3 between:1 invariant:11 mun:2 petz:2 extend:3 jt:10 weak:16 however:4 js:6 gratefully:1 jn:3 inclusions:1 hypothesis:4 jointly:1 jk:1 jd:1 bose:2 contractive:2 problem:1 topology:3 both:2 essentially:1 prescription:4 reverse:3 modular:1 many:1 taking:3 jt1:1 equal:5 admit:1 jo:3 vergata:1 comm:2 0n:1 monograph:1 otherwise:3 mechanics:1 ci:1 co:1 elliot:1 conclude:19 simple:8 smith:1 harmonic:1 dimensional:2 anti:3 adaptation:1 spans:2 j00:3 ele:1 semigroups:4 amer:1 pv:2 commutative:2 pt:2 ue1:5 px:2 three:1 much:2 basic:2 algebras:10 po:2 define:9 imal:1 direction:3 commutes:3 am:9 j0b:10 subspace:10 understand:1 func:1 bull:1 last:1 spin:1 accardi:2 gns:8 unlike:1 value:1 τs:2 will:9 xτt:1 suppose:3 behavior:2 shift:7 aid:1 property:17 unitary:6 n2n:1 αt1:1 vol:2 vi:2 von:29 ir:29 thus:46 systems:1 helped:1 cone:1 dual:2 ic:2 sequentially:1 φs:1 φt:6 author:3 suggest:1 same:3 clearly:1 xj0:5 propose:1 modification:1 proved:2 finite:22 literature:1 trivially:1 i0:2 hand:2 purpose:1 αtn:1 invariance:6 opportunity:1 a2m:15 identity:2 center:2 yx:9 nevertheless:1 well:9 academic:1 rome:1 endomorphisms:3 calcutta:1 cj0:1 σt:3 possesses:1 left:6 isometry:5 summer:1 λt:2 being:13 mo2:2 mo1:4 obtain:2 valuable:1 identify:2 useful:1 am2:1 jean:1 yr:3 scaler:3 density:1 point:1 seems:1 discuss:1 discontinuous:1 k0:17 easy:1 theorem:8 semigroup:23 guarantees:1 real:1 dissipative:1 xe0:1 press:1 unique:17 loss:1 tomita:2 xst:2 follows:16 specific:1 continue:1 steps:2 either:7 arbitrary:2 sakai:1 tower:7 stationary:4 page:1 ola:1 right:1 neumann:29 sequence:2 conditional:3 some:13 draw:1 repeat:1 b0:9 tomiyama:1 moreover:1 uf0:3 multiple:1 jsb:2 normal:24 extensively:1 ak:3 decomposition:1 statements:2 prof:3 proc:2 minimal:9 refer:2 equivalent:2 lose:1 bh:2 cλ:1 step:3 bp:3 dices:1 br:4 post:1 hilbert:15 injective:6 asymptotic:2 integers:2 extension:2 theorems:1 oa:1 range:1 a2:5 luigi:1 introduced:2 block:1 op:1 lieb:2 homogeneous:1 soc:2 faithfulness:5 inclusion:8 into:3 h1:5 isomorphic:8 acad:1 references:1 operator:7 often:1 yri:2 span:2 additional:1 yrn:2 canad:2 support:1 there:15 question:1 u0:10 strict:1 inner:2 forward:5 rela:1 was:1 naturally:2 complete:3 form:3 hs:1 identities:1 converse:3 ht:1 construction:17 repeatedly:1 line:1 true:9 wise:1 uu:2 up:2 limit:2 tr0:6 parthasarathy:1 yr1:1 yr2:1 proves:1 called:3 detailed:1 ab:1 associated:15 defined:21 abstract:1 describe:1 linearity:2 general:3 intimately:1 ar:2 ohp:1 check:5 functions:1 faithful:15 no:8 separating:2 when:5 unital:1 other:3 details:4 trans:1 polar:1 briefly:3 elements:8 symbol:2 2n:1 a1:25 a0:163 generated:14 important:1 anal:2 studied:1 variable:3 structure:1 jones:14 implies:1 coupling:1 assume:6 values:2 factors:9 rule:1 text:1 time:11 backward:6 robert:1 once:7 |
0704.1990.txt |@word ibid:1 represent:3 gt:15 partial:1 consider:7 magnetic:51 global:1 results:5 vr:8 gg:1 scalar:13 computation:2 edu:1 expressions:3 contributions:5 gh:2 inverse:3 depend:2 calculate:5 sahni:1 z1n:1 charge:1 th:1 under:2 perature:2 dominated:1 analogous:1 include:1 divergent:1 wjn:12 string:30 very:7 k02:5 splitting:1 αrr:2 exact:3 2rr:1 condition:1 four:1 presented:2 proc:1 αr2:1 leave:1 vector:3 math:2 small:2 study:1 configurations:7 upper:2 smaller:1 slower:1 tem:2 renormalized:6 cosh:7 approximation:3 located:1 zero:16 christensen:1 evaluated:2 linear:1 bilinear:1 what:3 gγt:2 diag:5 section:5 while:2 expressed:5 thickness:5 version:1 above:12 fractional:1 new:6 increasing:1 method:1 coefficient:6 edited:1 agreement:1 full:2 bezerra:9 respectively:4 component:6 here:7 perpendicular:1 cylindrical:3 free:1 sinh:5 concluding:1 consideration:1 along:4 quite:1 equations:3 guimar:8 logarithmic:1 gibbons:1 obtained:8 clarify:1 inspired:1 expression:20 example:1 periodic:1 products:1 adopting:1 spacetime:16 named:1 divide:2 extra:1 apr:1 summation:7 apply:1 total:1 planck:1 presents:3 dωω:1 would:1 commun:1 covariant:1 codify:1 dni:2 finally:1 dnj:7 few:4 nucl:2 going:2 mγ2:1 ufpb:1 taken:2 black:1 theoretical:1 more:1 longrange:1 formally:1 started:1 neglected:2 curvature:1 carrying:1 i4:6 known:1 cases:1 hold:1 iii:5 must:2 logarithm:2 account:4 monopoles:1 rα:1 rβ:2 local:1 equation:3 work:4 verbin:1 modified:4 reproduce:1 values:1 following:5 arrive:1 spontaneous:1 mσ2:1 mσ1:1 wedge:1 renormalization:2 figure:2 give:1 calculation:1 ds2:1 organized:1 desenvolvimento:1 high:13 numbers:1 axis:2 information:3 respective:5 provide:6 discussion:1 feature:1 write:2 far:2 larsen:1 criterion:1 symposium:1 absolute:1 parameter:2 sin:2 ieaµ:1 express:2 singular:1 may:4 immersed:2 after:3 ζl:1 consequence:6 ζr:1 ζv:1 coming:2 lβ:4 types:1 physical:1 third:9 higgs:1 w2n:1 light:1 linet:9 correspond:1 element:1 complexity:1 so:14 grande:1 fundamental:1 z2n:1 integrand:3 order:13 typical:1 fα:3 least:1 produces:1 mainly:1 years:6 produced:3 course:1 thermal:36 paper:7 through:3 2v:1 mentioned:4 kibble:1 its:10 before:2 regions:1 decay:2 ln:14 interesting:2 epoch:1 coordinates:1 brihaye:1 detected:1 complex:1 mail:2 main:4 overcome:1 them:3 combination:1 integral:7 polarizations:2 evolution:1 framework:1 walls:1 effects:12 they:4 transversal:1 rotation:1 now:1 bigger:2 heaviside:1 represents:2 term:24 2r:8 by9:1 university:2 realistic:1 magnitude:2 radial:2 found:5 2n:2 side:6 homogeneous:4 domain:1 differential:3 ei:1 doing:1 series:4 energy:9 used:1 decays:1 static:1 quantum:10 our:4 approximated:7 special:1 really:2 large:6 shown:6 acknowledgment:1 space:2 although:3 rep:1 rev:5 content:1 re:1 investigation:1 ren:11 wick:1 induced:1 reg:6 red:1 i2:5 theory:3 mσ:1 interactions:1 upon:1 argument:4 ısica:2 fisica:1 departamento:2 standard:6 admits:1 w1n:1 formation:2 york:1 birrell:1 netic:1 zjn:12 interaction:2 r2:4 created:1 geometry:2 could:1 transition:1 cosmic:27 phy:1 length:1 place:1 corrections:9 mello:8 exhibited:1 first:15 already:3 symmetry:1 geodesic:1 comprised:1 infinite:1 done:1 defects:1 reached:1 pos:1 given:28 temperature:36 table:1 introduction:1 system:6 construct:1 intermediate:1 calculations:1 shell:2 becomes:2 para:2 ryzhik:1 exactly:1 part:2 than:3 coefficients:1 distance:6 kind:1 unfortunately:3 showed:1 surrounding:1 was:7 second:10 matter:2 fermionic:2 absence:1 minus:1 ultrastatic:2 correction:8 dθ2:1 vilenkin:1 conjugate:1 allen:2 seem:1 cosmology:1 any:2 mostly:1 convenient:1 latter:1 able:2 davies:1 polarization:20 potential:2 take:1 γu0:1 objective:1 green:25 detector:1 hightemperature:1 sure:1 gβ:1 trace:1 shall:11 denoting:1 object:1 most:10 boltzmann:1 gradshteyn:1 cylindrically:1 accepting:1 kay:1 class:6 es:1 appear:1 hj:5 takes:1 considered:10 average:5 later:3 coincides:1 points:8 tubes:1 sum:2 fact:3 quantity:2 phenomenon:1 show:3 tecnol:1 gauge:6 solutions:3 substituting:2 cnpq:3 d0:10 ratio:1 parameters:1 kγ:6 situations:1 written:2 topological:3 should:2 analytic:1 only:10 explicitly:2 candidates:1 factor:2 integrable:1 constant:3 g00:1 england:2 dn:7 do:1 dominant:7 goes:1 de:12 expectation:10 da:2 pronex:2 cannot:3 dz:1 dv:1 du:2 dr:1 geometric:1 coth:1 aes:9 qr:6 bar:1 g0i:1 fields:14 arxiv:1 grav:6 investigate:2 analytical:4 nα:1 nδ:1 gravitational:2 set:1 computed:1 j0:7 j1:1 observed:1 see:3 decided:1 radius:22 result:6 close:1 dµ:9 braden:2 particle:1 best:1 brazil:1 αr:7 tensor:10 federal:1 uo:2 symmetric:1 outside:4 closed:1 between:3 justified:1 conditions:1 αn:1 knowing:1 terms:10 right:6 modify:1 focus:1 however:5 vanishing:7 extent:3 analyzed:1 configuration:2 observable:1 cos:5 prescription:2 many:1 taking:7 conclusions:1 hence:1 attributed:2 april:1 context:1 exceeds:1 contribution:27 magnetics:1 comes:6 among:1 relevant:13 point:1 continuation:1 asymptotically:1 vachaspati:1 period:1 coincidence:3 pole:2 moreover:4 cq:1 considering:7 strong:1 described:1 basis:2 addition:1 due:14 been:11 appears:2 pb:3 int:3 cient:1 much:1 slowly:2 combined:1 hawking:1 pessoa:1 wants:1 direction:1 adopted:9 divergence:2 tµν:2 quantities:1 defect:1 observe:5 derivative:1 last:4 present:1 case:3 exponential:2 pacs:1 solid:1 straight:1 value:11 transformation:1 βr:7 euclidean:7 near:6 euler:1 behavior:9 ıfico:1 property:2 conformal:1 region:9 procedure:10 ein:7 unitary:1 approximate:3 metric:2 non:14 surface:1 equal:1 ii:6 reads:2 itself:1 properties:2 curved:1 vanish:1 conical:2 nielsen:2 stands:1 different:7 develop:3 author:2 radiation:2 same:12 check:1 unity:3 parts:3 arguments:1 grand:1 dimensionless:1 finite:13 grows:1 φo:1 independent:1 investigated:3 infinity:1 estadual:1 i1:5 i3:5 numerical:3 i5:1 effect:13 hand:10 running:5 appreciable:1 garfinkle:2 passing:1 recent:2 off:1 zerotemperature:1 cct:1 well:4 davis:1 analysis:14 academic:1 without:1 allow:1 components:1 lim:5 coordinate:4 quantitative:1 model:15 charged:11 unified:1 proposed:1 less:1 being:11 obtain:9 detail:1 press:3 thanks:1 aspect:1 using:10 ogico:1 singularity:1 previous:4 infinitely:2 conclude:1 smith:2 except:1 exclusively:1 nacional:1 other:5 lett:1 mod:3 iτ:1 momentum:8 real:1 around:2 read:1 evaluate:2 possible:4 corresponds:4 early:2 five:1 vacuum:34 confined:2 integer:1 postal:1 apart:1 theor:1 like:1 tˆµν:18 follows:2 gjt:2 performing:1 dµd:2 holes:1 admitted:1 specific:4 flux:30 vortex:5 continue:1 steps:1 integrals:1 page:2 shed:1 because:5 some:5 understood:1 b0:3 b1:3 b2:3 b3:3 happens:2 electromagnetic:1 tube:28 integration:1 per:1 ıba:2 provides:2 assuming:1 bessel:8 conselho:1 minimal:1 core:3 denominator:2 obey:1 seconds:2 equivalent:1 ration:1 analysed:3 expansion:1 broken:1 primordial:1 br:2 hadamard:2 imaginary:1 subtract:1 supermassive:1 analysing:1 sub:5 about:5 universe:3 discussed:1 dependence:1 o:1 nonvanishing:2 range:2 a2:3 discard:1 introduced:1 consequently:8 whittaker:1 bath:1 considerations:1 cambridge:4 mλ2:2 mλ1:2 presence:10 h2:1 into:7 h1:1 numerically:2 three:9 phase:1 square:13 references:1 mγ1:1 einstein:1 operator:1 proportional:8 bosonic:1 approximately:1 fast:1 hep:1 comparing:1 assumed:1 support:1 there:3 question:2 u0:4 long:5 cabral:3 way:5 ottewill:1 analyze:1 sections:1 function:32 complete:3 form:1 kb:2 analyse:1 idealized:2 heat:1 aµ:2 filed:2 line:7 trying:1 he:2 applying:2 minkowski:1 inside:5 ωr:46 up:2 us:2 discarding:2 below:5 limit:15 how:1 problem:1 monopole:2 similar:4 calculated:3 b61:1 adopt:3 associated:10 defined:4 detectors:1 abstract:1 aj:3 influence:5 general:1 globally:1 financial:1 dν:1 exist:1 corresponding:1 universidade:2 regime:6 again:3 functions:10 no:2 dashed:1 when:2 vanishes:4 field:38 interested:3 remarks:1 arruda:1 papers:2 massless:12 conclusion:1 nonzero:1 repeat:1 suppl:1 calculating:2 models:11 a1:3 a0:3 a3:3 important:7 variable:1 structure:7 ago:3 coupling:2 dτ:1 interval:4 curve:1 dσ:2 precedent:1 time:6 olesen:2 dvv:9 strings:3 |
0704.1991.txt |@word represent:1 sci:1 consider:1 rev:16 magnetic:1 results:21 roy:1 grateful:1 edu:2 go:2 follow:1 contributions:1 content:1 inverse:1 depend:1 calculate:2 giacomelli:1 quasi:1 program:1 alvarez:3 th:5 under:1 molinari:1 analogous:1 include:3 homepage:1 symmetry:1 ingredient:1 case:4 sehgal:1 confirmation:1 amplitudes:1 without:2 very:10 electron:6 brooks:1 figs:2 resonant:1 experimentally:1 emphasized:1 matrices:14 presented:2 did:1 suffices:1 erratum:1 leptoproduction:1 integrated:1 large:3 barbaro:1 vector:7 minerνa:1 small:6 relation:2 linearizing:1 attracting:1 jhep:1 strongly:1 employing:1 compensated:1 consistent:1 d9:2 estimates:2 prediction:2 approximation:19 d6:1 zero:3 wmax:2 further:2 dynamics:1 correspond:1 targets:23 quite:1 mπ:2 even:4 will:10 what:1 appear:1 giving:1 section:32 expressed:2 current:10 axial:5 version:1 above:2 new:4 contributes:1 acknowledgments:1 mp:1 outgoing:1 full:1 lee:1 exchange:22 respectively:3 modify:1 here:3 understanding:2 ranges:1 reported:3 cos2:1 groups:2 others:1 alone:1 quark:1 appears:1 mosel:1 obtained:6 convert:1 drops:1 incoming:1 noticeable:1 study:2 larger:4 allows:1 experience:1 example:3 g2f:3 amount:1 resulting:1 resonance:14 fourier:1 studies:2 pasquali:1 appropriately:1 useful:8 although:1 apr:1 problematic:1 app:8 d34:1 brought:2 mecking:1 analyzing:1 neutrino:18 total:1 establish:1 use:7 charge:26 takes:3 usa:1 contains:1 eπ:15 france:1 few:2 depicted:1 call:1 therefore:2 averaging:18 taken:3 themselves:1 theoretical:2 more:3 beyond:2 furthermore:2 initial:1 eν:2 tested:2 appendix:2 everywhere:1 surface:1 sharply:1 varying:2 iii:1 blocking:1 fermionic:1 involve:1 account:4 c41:1 grant:1 equation:1 des:1 protons:2 modified:2 unconstrained:1 reproduce:1 itself:1 values:2 three:3 following:5 making:1 ta:1 could:1 compare:1 νp:1 figure:13 stated:1 predict:1 december:1 methodist:1 purposes:1 topic:1 taking:1 arise:1 rescaling:1 calculated:4 information:1 rather:5 verify:1 discussion:2 lepton:5 how:1 ig:9 dominance:1 sato:1 fr:1 d74:1 plans:1 earlier:3 southern:1 different:9 lab:2 phenomenological:1 physik:2 coming:1 spectrometer:1 summarize:2 data:11 numi:1 forschungsgemeinschaft:1 electroproduction:21 dynamical:1 effective:1 light:1 spectra:10 lines:11 summing:1 provide:1 so:1 increasing:1 increase:1 order:8 talk:1 approx:1 observable:1 help:3 nucleon:23 developed:2 pointed:1 mainly:1 satisfied:1 years:1 produced:5 course:1 surviving:1 experiments:10 through:3 mentioned:2 still:2 avenue:1 its:3 before:1 style:1 group:2 exclusion:1 decay:1 energies:2 exact:10 masses:1 unity:1 decreases:1 better:1 production:17 o12:1 fig:6 mail:3 main:3 texas:1 mn:6 non:2 good:3 affected:1 propose:3 outlined:1 material:2 introduce:1 cosmologie:1 scaling:1 band:1 effects:22 they:5 b574:1 now:3 yu:11 discuss:1 channels:1 electro:2 dirac:1 oxygen:16 opera:2 always:1 university:2 2d:1 in2p3:2 each:3 found:6 universit:1 d45:1 constraints:2 heavy:9 reactions:15 differential:16 primarily:1 formulate:1 independent:2 generation:2 energy:14 ea:1 µb:8 related:3 investigated:1 isospin:4 expect:1 encouragement:1 measure:1 our:12 meth:1 gordan:1 eq:14 ep:4 special:2 description:4 shown:9 matrix:15 factors:12 q2max:2 smu:2 since:6 squared:1 denotes:1 particles:6 contained:1 leaves:1 formula:1 induced:3 ref:7 correct:2 shows:6 occurs:1 theory:1 interactions:5 given:2 free:21 standard:1 reason:1 california:1 deπ:14 care:1 interaction:3 route:1 impose:1 linearized:1 motion:2 turn:1 length:1 instrum:1 place:1 corrections:13 undergo:1 gallagher:1 neglect:1 first:1 origin:1 o16:15 already:4 features:4 probability:1 omitted:1 variables:6 number:2 system:1 paschos:13 clear:1 enlarged:1 improvements:2 done:2 c59:1 another:2 robust:1 quality:1 angular:2 little:1 salient:1 smaller:1 publication:1 become:1 introduction:3 leading:1 eqs:2 theoretische:1 adopted:1 fm:2 their:8 calculations:7 dfg:1 e56:2 final:8 gives:2 fraction:6 subatomique:1 c4v:1 serve:1 accurately:2 argon:5 part:2 constituent:1 eliminated:1 representing:1 than:1 center:2 peaked:1 past:1 target:15 sections:38 approximations:2 second:3 utilizing:3 compensation:1 determined:6 doubly:2 iron:10 represents:1 radius:1 jem:2 distinguished:1 sees:1 abs:13 d26:1 ann:2 spectrum:6 curves:5 deutsche:1 say:2 substantial:2 anp:22 delineated:1 close:2 seen:3 lbl:2 contents:1 indeed:1 angle:4 dallas:1 efficient:1 latter:1 physique:1 ideas:1 predominantly:1 note:2 extracted:1 fitting:1 jefferson:3 absorbed:8 take:2 scatterings:1 accuracy:4 cnrs:1 multiple:5 trace:1 though:2 collaboration:4 who:1 neutrinos:2 eliminates:1 simplify:1 germany:1 plan:1 significant:1 phase:2 nussinov:3 measured:2 deviations:2 give:3 especially:1 ki:3 differ:1 typeset:1 reaction:1 principle:1 thank:1 physics:2 sum:1 quantity:1 precise:1 manly:2 hyper:1 particularly:1 intensity:1 show:7 nπ:2 supported:1 gauge:1 sakuda:2 keywords:1 find:2 impact:1 q2:52 ratio:10 q4:2 parameters:5 written:1 should:1 analytic:1 only:3 experiment:2 factor:3 integrate:1 over:11 do:1 dominant:1 gev:54 ingram:1 di:2 dependent:1 beams:1 leitner:2 de:4 expectation:2 pions:23 beam:1 rest:2 mention:1 international:1 dv:2 dw:36 averaged:9 2mn:1 dq:11 resolve:1 arxiv:1 yield:1 summary:2 aspects:2 investigate:2 paper:1 double:29 including:6 rein:1 fixed:2 skat:1 predicts:1 frame:2 testing:1 clebsch:1 detection:1 see:2 sec:1 result:4 discussions:1 recently:2 particle:1 reproduced:1 reasonably:1 lρ:1 hippel:1 c74:1 nuclear:25 dipole:2 state:4 future:4 various:8 chosen:1 correctly:2 between:1 progress:1 conditions:1 checks:1 discovery:1 available:4 multiplied:3 terms:5 amplitude:1 extend:1 nature:1 importance:1 attention:3 weak:2 however:3 wi:2 pcac:2 lalakulich:2 carbon:7 come:1 problem:1 improve:1 restrictions:1 cos:3 limits:1 many:1 region:12 uncertainty:3 equal:3 mixings:1 propagation:2 figures:2 interesting:2 uni:1 contribution:5 finds:2 experimental:2 otherwise:1 among:1 relevant:2 cm:10 conclude:1 simple:5 article:9 moreover:1 uci:1 ps:1 finally:4 described:6 kinematic:4 addition:1 dortmund:3 acceptance:2 radiative:1 due:6 been:24 reduction:3 workshop:1 slowly:1 interest:1 collected:1 ph:10 pi:1 define:2 contribute:1 both:3 quantities:4 leptonic:2 irvine:1 observe:1 understand:2 c12:1 c3:1 careful:1 former:2 present:5 applied:1 uncertain:1 solid:8 straight:1 aim:2 while:3 replaced:2 shall:2 error:2 σabs:11 property:1 couplings:5 procedure:1 versus:1 vacas:1 donnelly:1 coupled:1 almost:1 characteristics:1 refs:2 av:5 them:5 discrepancy:1 according:3 ii:1 vs:1 attributed:1 triple:2 maximal:1 motivated:1 currents:2 confirmed:1 baseline:3 sensitive:4 perform:1 pay:1 cross:62 same:6 singh:1 reconstructed:1 pauli:6 largest:1 d19:1 several:6 branchings:1 calculation:6 used:5 http:1 rescattering:13 laboratoire:1 numerical:4 effect:5 av2:1 hand:4 uses:1 potentials:1 frequently:1 barish:1 normalization:5 narrow:1 off:1 rescatterings:1 largely:1 charges:1 c67:1 lpsc:2 well:6 analysis:4 obviously:1 materials:3 comparisons:6 model:27 uno:1 drawing:1 charged:6 background:1 proposed:1 being:1 accurate:4 neon:1 obtain:4 valuable:1 reviewed:1 shape:3 atomic:1 m2π:2 scattering:9 width:1 begin:2 preprint:1 density:1 absorption:49 valid:1 lett:1 input:3 extensive:1 occurring:2 momentum:3 divided:1 identical:1 minerva:1 b58:1 insensitive:1 depends:4 articles:2 parameterizations:2 measurement:2 possible:4 increases:2 2w:1 helicity:1 appendices:2 using:12 grenoble:1 detector:2 helpful:1 neutrons:2 modifications:2 martyrs:1 necessary:1 like:3 dq2:31 follows:3 signal:1 specific:3 yields:2 either:1 decrease:1 nucleons:5 clas:4 therein:2 www:1 because:5 old:1 methods:1 deal:1 back:1 understood:2 pπ:3 suppl:5 respect:1 ourselves:1 transport:8 provided:1 9r:1 describing:1 calculating:1 isoscalar:8 confirm:1 resonances:2 avoid:1 measurements:2 integration:1 per:5 does:1 connecting:1 dipoles:2 assuming:1 wmin:2 proc:5 minimal:1 majorana:1 measuring:1 process:4 agreement:1 schiffer:1 step:6 d71:1 ratios:4 2m:1 q2min:2 properties:3 von:1 gained:1 comparison:7 about:4 would:4 dependence:17 o:2 reduced:3 range:1 d69:1 d65:1 propagate:1 introduced:1 slightly:1 other:8 restrict:1 em:2 suited:2 presence:1 into:6 within:2 functional:2 predictions:5 en:4 references:3 determine:1 8o:10 theoretically:2 uncertainties:1 statistics:1 hep:12 elastic:1 transfer:2 there:4 nucl:15 long:3 noticed:1 ee:6 rept:1 joseph:1 bosons:1 low:3 way:3 forward:3 cebaf:1 was:5 function:5 vicente:1 schienbein:5 medium:5 form:13 differences:3 but:2 expected:3 neutral:9 line:10 adler:4 coupling:2 c5v:1 made:1 compute:2 ruso:3 wish:2 inside:1 deduce:2 decays:1 fermi:3 distribution:1 b588:1 similar:6 average:3 ex:1 detailed:1 inclusive:1 defined:2 abstract:1 describe:3 covers:1 ap:57 single:13 ar:2 laboratory:4 work:1 distributions:3 check:1 incorrect:1 high:2 functions:1 compared:3 completeness:1 dotted:9 no:1 amounts:7 dashed:7 whereas:2 populations:1 setting:2 giorgini:1 papers:1 test:5 out:2 nt:10 nice:1 deviation:1 polar:1 excitation:1 models:6 preceding:1 includes:1 gev2:20 important:5 nucleus:7 suppression:3 needed:1 structure:1 jlab:2 lead:1 pion:56 schreiner:1 established:2 space:2 d25:1 dσ:52 governed:1 having:1 dr:2 c8:1 mass:1 electromagnetic:3 qualitatively:1 determination:1 nuclei:7 backward:2 requires:1 original:2 |
0704.1992.txt |@word secondly:1 extrapolated:1 limited:1 squared:3 magnetic:1 four:1 isobar:4 4nc:1 under:1 divergent:1 summarizes:1 updated:1 connects:1 figs:1 govern:1 school:1 basics:1 prize:1 frozen:1 convenience:1 vector:14 force:11 japanese:2 approximation:1 second:4 qualitatively:1 estimated:1 even:4 established:2 errors:1 bogner:1 kuo:2 above:1 new:5 net:1 increasing:3 pioneering:2 simultaneously:2 here:3 atoms:5 mev:7 active:3 path:1 quark:46 property:1 leutwyler:5 suitably:1 vogl:2 reports:2 adopt:1 muirhead:1 changes:4 gluons:3 replace:1 neutrons:2 visible:3 quarkantiquark:1 unit:1 plot:1 m0:11 m2:1 ratti:2 assessment:1 successful:1 berlin:1 correspondingly:1 separates:1 hole:1 hold:1 blocking:1 must:4 md:7 sainio:1 permits:1 thaler:1 work:5 mu:9 mq:5 temperatures:1 example:3 renormalization:7 indicated:2 give:1 relativistic:4 generically:1 how:4 amazing:1 symposium:1 classify:1 wolfram:1 description:2 replacing:1 thermodynamic:1 after:1 lat:1 summarize:1 constants:8 effective:29 acknowledged:1 complexity:1 correlation:2 order:33 interpretation:1 enter:1 over:4 japan:1 before:2 fit:2 fig:23 cls:1 versus:2 them:1 affected:1 combination:3 enrico:1 repulsive:2 effects:4 they:2 represents:1 uscher:1 each:3 mean:7 independent:9 series:8 principles:1 used:2 restricted:1 particles:3 re:1 laid:1 surprise:1 forth:1 gor:6 πb:1 turning:2 mπ:26 little:1 free:1 standard:2 formation:1 cornerstone:1 incorporates:3 r6:1 chiral:92 cosmic:1 days:1 εabc:1 incorporated:2 corrections:4 conducted:1 footsteps:1 already:3 features:2 primary:1 thereof:1 channels:4 another:1 kfn:1 immensely:1 wirzba:1 serve:1 past:1 approximations:2 matter:24 powers:5 perturbative:9 modern:6 mind:1 spectrum:3 seen:1 relatively:2 strength:2 genuine:1 latter:1 responsible:1 absorbed:1 forces:2 canonical:1 counteracts:1 involving:7 germany:1 phase:5 acknowledgements:1 observation:1 professor:2 points:2 principle:2 deeply:5 fitted:1 brief:1 attempts:1 gauge:2 calculable:1 tacitly:1 subtle:1 analogue:1 d3:2 pannel:4 just:6 situations:1 rich:1 kunihiro:2 do:1 klein:2 dd:2 preferred:1 taketani:5 dp:1 holland:3 colangelo:1 fields:10 twice:2 release:1 observed:7 result:5 incorporating:1 techniques:2 tensor:3 away:1 propagates:1 µr:1 future:1 conceptual:2 drawn:1 approach:4 nambu:12 triplet:2 terms:25 nature:5 however:3 extent:2 isotopes:3 compton:2 receives:1 exceeds:1 contribution:3 adapted:1 electroproduction:1 represented:2 massive:2 polynomial:1 nishina:1 radiative:1 three:9 been:17 much:1 interest:2 basic:9 entered:1 algebras:1 correction:2 quantities:3 coherent:2 confinement:4 spin:8 applied:1 exception:1 reciprocal:1 spontaneously:6 near:1 balance:1 procedure:2 played:2 phenomenological:3 iv:1 ii:4 disappear:1 confirmed:2 suggest:1 make:2 dimensionless:1 several:3 evolve:1 hand:1 potentials:2 hartree:2 weakly:3 scenario:2 contact:6 quantitative:1 left:1 unified:1 lc2:2 proposed:1 scattering:14 yet:1 previous:2 enters:2 classification:1 had:5 weise:28 gave:1 yukawa:23 iγ:1 iε:2 possible:1 apart:2 melting:1 steps:2 towards:2 right:2 honored:1 successfully:3 kugo:1 translates:1 dense:1 isoscalar:1 communications:1 opposite:1 derivatives:6 shifting:1 permitted:1 o:8 kolomeitsev:1 occhialini:1 considerations:1 presence:3 bound:11 down:1 balanced:1 theorists:3 often:1 compression:1 approximate:1 anderson:1 way:3 subsumed:1 was:10 therefore:4 lowest:1 medium:21 form:8 offer:1 encodes:2 heat:1 true:1 schwenk:1 attached:2 fermi:9 digression:1 homogenous:1 convergent:2 conserved:1 exist:1 distributions:2 physical:5 nn:10 polarisation:2 whereas:2 nc:5 generally:1 vanishes:2 handed:1 jona:2 role:8 kienle:1 papers:1 np:1 picture:2 models:4 coulomb:3 assume:2 together:3 time:6 observables:2 nuclei:15 restored:1 breadth:1 quarks:17 remarkable:2 global:2 focus:1 leads:2 supplement:1 garching:1 grateful:1 remarkably:1 ver:1 gerber:1 environment:1 charge:3 brown:4 pected:1 unchen:1 1s:5 exact:1 level:3 did:1 turns:2 culminating:1 standards:1 solved:1 science:2 equation:9 upper:5 mn:11 illustrating:1 det:1 measurable:1 ecoul:2 spectral:1 stands:2 celebrated:1 shares:1 ecker:1 current:11 axial:9 international:1 filled:1 era:1 jido:1 understanding:5 eexc:3 along:3 appears:3 change:2 shift:2 studied:1 commonly:3 usually:1 resonance:2 useful:1 extra:1 gluon:3 flavors:2 handled:1 working:1 covariant:1 suppl:4 tightly:1 properties:1 theoretical:2 today:2 introducing:2 apparent:1 eν:1 virtue:1 effort:1 deformed:1 fock:1 values:1 following:7 figure:2 expanding:2 sense:1 agent:1 topic:1 performed:2 evidently:1 regularization:3 rays:1 s1:1 s0:1 chemical:4 pure:2 parameter:6 product:1 may:1 applications:1 ipµ:1 data:11 natural:2 dynamical:3 sectors:1 explicit:4 su:11 so:10 sn:3 representation:1 typical:2 nucleon:40 displayed:1 years:2 course:2 statistical:1 omitting:1 still:4 tendency:1 derive:1 group:3 thank:1 τi:2 interesting:1 τa:3 attraction:3 window:1 offers:1 decades:2 non:19 processes:7 introduce:2 now:8 developments:5 term:16 establishing:1 goldstone:28 spinor:1 ei:1 significantly:1 populated:1 ed:1 ef:3 ex:1 entering:1 amsterdam:4 wavelength:3 approximated:1 eq:6 emerges:1 shown:9 jackson:1 3rd:1 space:1 lagrangian:19 investigation:1 correct:1 theory:32 mechanisms:2 governing:2 quite:4 unwanted:1 seventy:1 derivation:1 widths:3 transition:3 motion:1 turn:3 gordon:3 first:5 origin:3 symmetry:39 quasiparticle:2 transform:1 long:10 directly:4 carry:1 size:1 given:8 necessarily:1 response:1 brevity:1 fierz:1 realization:2 continuous:1 accurately:1 electroweak:1 representing:6 than:5 coefficients:1 third:1 protected:1 were:1 pre:1 dynamically:1 turned:2 argument:1 crossover:1 saw:1 any:2 note:4 potential:18 take:1 ericson:6 channel:1 hyperfine:3 multiple:1 normal:2 friedman:2 decreasing:1 beta:2 pleasure:1 remarks:1 baryons:1 considered:1 behaves:1 average:3 later:3 typeset:1 feynman:1 nuclear:62 sigma:4 quantity:2 show:4 contemporary:1 discovered:2 threshold:4 ground:4 slow:1 ratio:3 state:8 only:7 explicitly:6 developed:2 polarizability:2 fritsch:3 gev:16 invariant:1 prime:1 yield:1 predicted:1 reveals:1 namely:1 cim:1 review:1 behind:1 between:11 mathematical:1 reading:1 multiplied:1 gratefully:1 article:1 come:2 σn:10 many:5 region:3 according:1 propagation:1 instanton:1 polarizing:1 expression:2 mann:2 color:10 overview:1 period:1 maintained:1 anti:1 iterations:1 constant:18 pseudoscalar:9 suppressed:1 hardly:1 observe:1 external:1 careful:2 irrelevant:1 those:5 case:1 promising:1 orfer:1 orientation:1 couples:1 motivated:1 different:3 erroneously:1 same:3 shifts:1 investigated:1 lutz:1 drives:2 driven:2 changing:3 invariance:1 relies:1 comes:2 components:1 coordinate:1 model:14 otsuki:1 dimension:1 charged:2 muon:1 being:1 when:9 guided:1 clot:1 4πfπ:9 nf:12 touch:1 flavor:4 heuristic:1 migdal:1 treatment:2 heavier:1 momentum:22 real:1 around:4 rules:3 pos:1 early:5 vacuum:8 using:9 accepted:2 mod:2 particle:5 reduces:1 downward:2 reduced:1 nucleonnucleon:1 specified:1 provided:4 kaiser:10 beginnings:2 extensively:1 stops:1 mesons:6 v2π:2 provides:1 o6:1 o4:1 o2:2 power:2 pionic:15 kyoto:1 equivalent:4 broken:6 hadron:2 comparison:6 discussed:2 develops:1 practical:1 inclusion:1 references:2 operator:3 hep:1 assumed:1 there:4 dispersion:4 start:1 low:49 aoki:2 survives:1 complete:1 sophisticated:1 aµ:3 adler:1 pion:113 systematics:4 strongly:1 certain:1 am:1 general:2 loops:2 governed:2 corresponding:3 again:2 field:28 massless:7 briefly:1 superconductivity:1 includes:3 a0:2 important:4 nucleus:9 included:5 tendencies:1 perturbatively:1 curve:2 2mπ:4 mass:42 starting:6 original:4 sci:1 consider:7 splitting:5 scalar:4 reasoning:1 program:1 th:2 tc:5 ta:1 amplitudes:1 very:7 difference:4 treating:1 hamiltonian:2 t2:1 applicable:2 large:11 small:17 programme:1 foundation:1 renormalized:1 tex:1 zero:9 2fπ:4 design:1 further:4 linear:4 what:1 diag:1 sum:1 anniversary:1 waals:4 condensed:1 component:2 behaviour:2 berkeley:1 concluding:1 strong:15 equations:1 inspired:1 amount:1 periodic:1 uniquely:1 via:4 distinct:2 universally:1 ψj:1 nucl:16 ψn:11 qcd:57 taken:6 more:8 knows:1 initiated:1 surprisingly:1 tested:1 particular:2 known:4 foundations:2 evolves:1 recall:1 der:4 protons:1 oller:1 strategies:2 spontaneous:9 history:2 f2:3 ann:6 states:12 pushed:1 model10:1 numbers:2 model14:1 information:2 needs:1 rather:1 breaking:23 4fπ:2 simplicity:1 algebra:2 wiley:1 derived:3 reflect:1 cutoff:1 fm:7 fn:3 short:9 generic:1 extrapolation:1 fundamental:1 polyakov:1 playing:1 hierarchy:4 essence:2 soon:1 molinari:1 mixing:1 thermal:2 through:4 signs:1 existence:2 kinetic:1 excitations:4 its:29 energies:7 inward:2 solving:1 boson:12 actually:1 late:1 parts:3 systems:8 deformation:1 return:1 pauli:6 anticipated:1 framework:7 oxford:1 chromodynamics:1 restrict:1 fπ:21 2m:2 universit:1 characterized:1 heavy:10 lat2005:1 generation:2 energy:72 idea:2 extended:1 isospin:12 connect:1 sketched:1 quantum:2 beyond:3 nuovo:1 denotes:1 acting:2 dominated:2 denoted:1 benjamin:1 ios:1 beginning:1 generate:1 pairs:3 unresolved:2 technische:1 twenty:1 consequence:1 hadrons:1 major:2 encoding:1 relate:1 thereafter:1 number:4 antiquark:6 done:2 least:2 calculational:1 perturbation:11 temperature:12 leading:24 interact:4 construct:3 calculations:10 dealing:1 hundred:1 statement:2 relationship:1 baryon:12 prediction:2 part:6 translation:1 clarifying:1 determines:2 riska:1 double:2 determined:3 toward:1 treated:2 oakes:2 substantial:1 tπ:1 lie:1 built:1 lim:1 self:4 extracted:1 empirically:2 miyazawa:4 added:1 measures:1 chart:2 singlet:4 most:5 rho:1 measured:2 appear:1 physico:1 deviations:2 kf:15 clear:1 physica:1 optical:2 exp:1 physics:11 ambiguities:1 thomas:1 relation:8 impressively:1 vretenar:2 impact:1 indicator:1 parameters:4 writes:1 generators:1 factor:2 his:2 distance:13 dependent:8 pions:14 famous:1 closely:1 combinations:1 arxiv:1 iγµ:3 nakamura:1 gell:2 doublet:1 set:5 achieved:2 lifetimes:1 flavours:2 bare:5 sea:1 close:2 degree:2 binds:1 conditions:2 available:1 recently:3 initially:1 pcac:2 spectroscopic:1 vanishing:4 both:4 collaborators:1 last:1 iγ5:1 sensitive:2 connection:2 became:2 context:2 absorption:4 finds:2 experimental:3 point:9 community:1 rosa:1 dimensional:1 unsuccessful:1 throughout:2 described:2 pt:1 lattice:9 strategy:1 pb:1 dropping:1 collected:1 pn:1 lett:16 generating:1 gas:1 precision:2 gap:7 gal:2 determination:1 systematic:4 p2:2 p0:1 look:1 solid:2 straight:1 expanded:3 empirical:6 finelli:2 while:3 replaced:4 behavior:1 couplings:1 loop:7 2fπ2:1 fujimoto:1 binding:8 itself:1 pnjl:2 fermion:1 currents:3 lengths:1 modification:1 resulting:4 neutron:8 higher:2 weinberg:5 levels:1 moving:1 lowenergy:1 recent:4 lπn:6 lower:5 length2:1 analysis:5 obviously:2 edge:1 distances:4 source:2 theorem:2 inmedium:2 showing:1 effectiveness:1 systematically:1 follows:2 manifest:2 collect:1 translated:1 collective:1 spins:1 transmute:1 methods:1 some:4 experienced:1 b0:2 examples:1 uhlbauer:1 delorme:1 ourselves:1 pronounced:1 scale:14 measurements:2 exceeding:1 per:2 prog:10 proc:2 varying:1 step:1 dictated:2 works:1 constraint:1 simulation:1 range:11 repulsion:1 consequently:2 therein:1 into:10 within:5 indications:1 primarily:3 proportional:2 nobel:1 uncertainties:2 yamazaki:2 question:2 fast:2 bosons:11 forward:1 sections:2 propagator:2 theory1:1 considerably:1 arise:2 boyd:1 lint:4 underlined:1 properly:1 atom:3 line:2 intuitive:1 uu:1 characteristic:6 up:4 us:1 bethe:1 diagrams:2 fluctuations:1 similar:1 calculated:7 associated:5 defined:2 sasaki:1 dashen:1 dashed:2 department:1 generates:1 excitation:1 problems:2 generated:3 restoration:3 structure:6 ago:1 correlated:1 implies:10 fπ2:6 required:2 orbit:1 equivalently:1 demonstrates:1 far:4 requires:1 once:1 sector:6 partial:2 results:9 illustrated:3 eds:1 gc:3 ga:3 contributions:3 issues:1 critical:3 breach:1 include:1 indicating:1 ingredient:1 g7:1 continues:2 wave:12 electron:1 lqcd:1 resonant:1 matrices:1 radii:2 noted:1 smaller:3 compensated:1 seventies:1 lightest:1 imply:1 insertion:1 dynamics:26 odd:1 d4:1 plays:2 expressed:3 experiment:1 body:8 lee:1 lef:6 exchange:29 respectively:1 spacing:1 separation:2 great:2 clarendon:1 survey:1 makes:1 involves:5 composed:1 stabilization:1 scales:17 apr:1 names:1 condensates:4 meson:11 m2π:12 cloud:1 use:2 remains:2 next:5 calculation:3 themselves:1 historically:1 reflects:2 started:1 normalized:1 arranging:1 iii:2 account:2 integrating:1 challenge:1 averaged:2 ρn:9 ρp:10 links:1 process:1 pieces:2 high:1 lorentz:1 regions:1 instead:1 nonet:2 gardner:1 hemmert:1 kambor:1 physik:1 realized:2 computations:2 light:10 counter:1 lines:3 element:3 discussion:1 produces:4 produced:1 including:2 mentioned:1 write:1 lc:1 decay:17 ln:6 masses:19 li:1 owe:1 degrees:10 derivative:2 eur:2 fourth:2 gasser:3 outlined:2 emphasised:1 articles:1 dirac:1 profound:1 identified:3 magnitude:4 l2:2 l3:3 l1:2 renner:2 constraints:2 homogeneous:2 related:4 society:1 static:1 measure:1 our:2 special:2 out:2 matrix:5 vch:1 rev:15 ref:12 klimt:1 interactions:14 approaches:2 york:2 interaction:22 times:1 length:3 hence:1 manuscript:1 reaches:1 precisely:2 dispersive:1 πc:1 πa:1 ordering:1 condensate:21 πi:3 πn:4 system:2 their:11 intermediate:7 undergoes:1 wilkinson:1 final:1 shell:1 reflecting:1 constituent:1 m3π:1 colleagues:1 liquid:1 see:5 limiting:1 amplitude:4 negatively:2 symmetries:4 curves:2 need:1 constrained:3 demonstration:1 clearly:1 viewed:2 mechanism:4 polarization:5 best:1 schematically:1 subject:1 accuracy:1 heisenberg:1 intrinsic:1 isotopic:2 subtracted:2 proceedings:2 holstein:1 fact:3 impression:1 absorbing:1 trivial:3 decade:2 principal:1 inspiring:2 based:6 avraham:1 should:6 bernard:1 postulated:1 local:4 equilibrium:3 means:1 ones:3 exchanges:1 evolution:3 densities:3 differential:1 expansions:1 fixed:1 view:1 deuteron:1 jµa:1 frame:1 respect:1 cyclotron:1 interacting:3 pattern:8 tend:1 written:1 identification:1 fifties:1 progress:1 comparable:3 hypothesis:1 key:2 probing:1 gcrit:1 problem:2 observable:3 limits:2 salpeter:1 jaµ:2 equal:1 etc:1 eta:1 detailed:7 adjusted:1 relevant:9 ca:1 table:1 narrowed:1 meissner:2 anomaly:2 suggested:1 controlled:1 bulk:3 prescription:1 unlike:1 nd:1 appearance:2 value:4 threeloop:1 vc:2 ekin:2 almost:6 thus:3 instantons:1 surface:2 helped:1 capture:1 perhaps:1 cross:1 strange:1 schematic:1 units:3 finite:10 powell:1 upon:1 effect:3 parametrized:2 infinite:1 off:2 variety:3 well:9 patterns:1 sets:1 position:1 less:1 increasingly:1 accurate:2 sources:1 underlying:1 momenta:1 a0a:1 density:33 chpt:5 thermodynamics:1 attractive:2 resolved:2 saturation:4 increases:1 proton:4 press:2 prominent:2 like:2 lost:1 qualitative:1 fingerprints:1 δm:5 hosts:1 δh:2 become:1 nucleons:4 soft:1 replacement:2 accessible:1 exceed:1 phenomena:3 njl:8 proper:1 broad:1 octet:3 overlap:1 does:5 assuming:1 chains:3 mode:1 expansion:5 pressure:3 although:4 imaginary:1 about:9 freedom:12 introduces:4 dependence:8 compatible:2 a2:1 introduced:3 kaons:1 own:1 previously:2 h0:2 functional:3 van:4 additional:5 awarded:1 hadronic:3 hooft:1 suzuki:1 naturally:1 function:9 north:3 but:4 volume:3 construction:1 made:1 tomozawa:1 evident:1 instructive:4 whether:1 aµi:2 converted:1 limit:16 iterated:1 demonstrate:1 distribution:1 int:2 universal:2 contribute:1 hatsuda:3 lasinio:1 functions:5 compared:4 thermodynamical:1 ingredients:2 percent:1 detail:1 other:2 details:2 theor:8 conclusion:3 coupling:7 pointlike:1 volumes:2 epelbaum:1 bcs:1 |
0704.1993.txt |@word 4e2:2 ln:3 pcs:1 2e0:1 2e1:1 jij:3 li:3 dφi:1 2t:10 arxiv:1 eiφj:1 2d:4 jmax:9 δi:1 2ec:3 nβ:1 ei:1 ek:8 ej:25 j0:2 ec:10 cs:4 2ej:3 rq:7 rs:4 2c0:1 2c1:1 αi:1 rn:2 dψj:1 dψi:1 αij:6 8e:1 zc1:1 jk:18 e1:2 e0:1 e2:5 cos:9 r0:2 r1:2 ekh:2 o:2 kri:1 δij:6 βn:1 con:1 apr:1 wij:2 pxi:2 xy:2 crit:7 ρh:1 z0:2 ψj:1 ψi:5 pj:5 pi:8 hej:1 sin2:1 x2:1 c1:14 c0:17 αcrit:6 dξ:2 rβ:1 2πi:1 cij:8 supr:1 2πn:1 ωm:2 ωn:22 eii:1 rij:2 4c1:3 ii:1 cond:1 dλ:1 8e2:1 lim:1 φi:6 φj:4 φk:1 mat:1 pyi:2 ξe:1 kb:2 dψ:3 dω:2 dφ:5 dτ:7 zα1:2 sj:3 exp:4 sc:6 ky:2 kx:3 sd:3 |
0704.1994.txt |@word gw:2 represent:1 sci:2 consider:3 rev:9 lack:1 bandgap:1 results:3 leads:1 4e2:1 nwo:1 layers:7 increase:1 preserves:1 zone:3 equivalence:1 micrometers:1 γk:1 charge:3 onderzoek:2 preserved:2 stable:3 analogous:1 cm2:1 belonging:1 tworzydlo:1 zhang:3 far:1 blase:1 rise:1 choice:1 electron:3 microprocessors:1 orientations:3 herrero:1 morpurgo:1 mixing:1 experimentally:1 vasp:1 difference:3 presented:1 transmission:1 pinch:3 louie:2 arnaud:1 large:4 small:2 dubonos:2 alouani:1 degeneracy:2 nanoribbons:1 smaller:3 ten:1 consistent:2 morozov:2 prevents:1 approximation:4 zero:3 castro:1 chen:1 ter:1 ribbon:2 even:3 lowest:2 remain:1 brink:2 cell:5 experiment:2 above:12 bn:37 contrast:1 rycerz:1 agreement:1 degree:1 respectively:1 atoms:9 reported:1 mev:9 gga:1 separation:3 boron:13 directions:1 along:2 strong:1 appears:1 change:1 box:2 hbn:3 institute:1 larger:3 preferentially:1 periodic:1 resulting:3 stiffness:1 published:1 real:1 suitable:1 makes:1 wetenschappelijk:1 via:1 projection:1 mobility:3 inducing:1 summations:1 explained:1 katsnelson:2 volt:1 total:4 planck:1 unit:5 use:4 quasi:2 would:1 remains:3 only:3 calculation:1 fet:2 call:2 typical:1 taken:1 themselves:1 theoretical:1 more:1 sharapov:1 flat:1 moir:1 composite:1 brings:1 mismatch:6 stichting:2 particular:1 known:1 cases:1 me:2 high:5 account:3 room:4 science:3 der:1 work:1 oxide:1 vs:1 values:3 thin:1 den:3 following:1 performed:2 control:1 indicated:1 give:1 stacking:1 relativistic:2 neglected:1 states:7 lorentz:1 numbers:1 novoselov:4 arise:1 tan:1 occur:1 information:1 fets:3 varied:1 carriers:1 rather:1 interacts:1 breaking:3 regions:2 very:5 rubio:1 adjacent:2 gate:2 those:1 parameter:1 mat:3 minimum:3 containing:1 plane:6 faculty:1 representations:1 mesa:1 wave:1 constants:1 physical:1 effective:1 scheffler:1 lines:2 avouris:1 so:4 wetenschappen:1 decreasing:2 every:1 order:1 nearly:1 neto:1 over:5 move:1 cohen:2 years:1 thermal:1 experiments:2 through:1 nitrogen:4 kinetic:1 still:4 its:3 perfect:2 some:1 energies:2 interesting:1 masses:2 forms:1 absence:1 offers:1 fig:10 insulator:2 affected:1 nationale:1 practice:1 bound:1 band:16 equidistant:1 half:1 son:1 hall:1 matched:1 february:1 netherlands:2 dirac:15 university:1 level:3 arrows:1 identified:1 inequivalence:1 possibilities:1 sufficiently:1 magnitude:2 reasonable:1 irreducible:1 found:7 entirely:1 directly:3 interlayer:2 energy:15 ef:1 reduce:1 principles:1 related:4 conductance:1 gaps:8 expect:1 substantially:1 our:2 ev:5 thick:2 out:3 try:1 shown:4 opened:3 part:1 space:4 gradient:1 electronic:8 since:1 induces:1 projected:3 research:1 semiconductor:1 ra:1 dutch:1 instituut:1 induced:9 supports:1 red:1 chemically:1 linear:4 interactions:4 derived:1 possibility:1 crystallographically:1 unwanted:1 put:1 generate:1 interaction:2 σmin:1 ministry:1 could:2 transition:1 voor:2 times:1 silicon:2 barriers:1 configurations:13 first:2 copper:3 features:1 symmetry:9 willaime:1 number:2 feibelman:1 construct:2 another:1 ring:3 precisely:1 quality:1 size:2 taniguchi:1 little:2 sheet:15 temperature:4 introduction:1 leading:1 top:13 system:2 least:2 twente:1 calculations:9 scheme:1 structures:2 final:1 fermions:8 centered:4 weakly:1 injected:1 jiang:2 than:10 ncf:1 wide:3 showed:1 stm:1 require:2 namely:1 nederlandse:1 opens:2 were:5 gives:1 exhibit:1 function:5 fashion:1 separations:3 correction:2 peculiar:1 kresse:3 hafner:1 michely:1 inequivalent:7 seen:1 hexagonal:5 heersche:1 slab:1 any:1 gusynin:1 forced:1 depending:1 self:1 able:1 metallic:2 instance:4 potential:4 generalized:1 online:4 suenaga:1 honeycomb:1 blue:1 towards:1 though:1 asymmetric:4 most:1 jul:1 significant:2 device:1 intrinsic:3 kb:2 clear:1 km:1 universiteit:1 points:8 electrons:4 dos:3 enschede:1 physics:3 fact:2 show:2 vandersypen:1 supported:1 angstroms:1 converge:1 discovered:1 organisatie:1 find:3 nominally:1 current:2 based:3 spite:1 excessively:1 should:2 quasiparticles:1 local:2 equilibrium:4 do:1 klein:1 distance:5 between:11 obtain:1 brillouin:3 compute:1 areas:1 substrate:15 densities:2 oostinga:1 arxiv:1 yield:1 method:1 twice:1 investigate:1 financially:1 mtrl:1 cleavage:1 transistors:2 reveals:1 grey:2 observed:1 depends:1 computer:1 result:3 close:4 alternative:2 conductivity:2 guinea:1 away:2 nature:9 sites:1 symmetric:4 petr:1 graphite:3 across:1 loiseau:1 comparable:3 terms:1 vertical:1 opening:3 comp:1 weak:4 however:4 interface:1 carbon:26 brocks:1 configuration:18 improve:2 both:4 essentially:1 condmat:2 taking:1 conclusions:1 dipole:1 layered:1 dated:1 oshima:1 lateral:1 experimental:1 arbitrarily:1 detailed:1 co:1 point:7 color:4 seems:1 excess:1 rooks:1 ae:1 cw:1 cu:11 second:1 broadening:2 geim:4 kanda:1 tuning:1 geometries:1 basis:3 pz:1 three:7 been:1 quickly:1 much:4 deposited:1 expected:3 furthmuller:2 unchanged:1 empty:1 obtained:1 generating:3 corresponding:2 ozyilmaz:1 gap:35 bulk:2 observe:1 remedied:1 present:1 case:1 reciprocal:1 pacs:1 tetrahedron:1 value:5 will:5 near:1 programme:1 applies:1 sublattices:3 tunneling:1 grigorieva:2 identical:1 layer:12 orientation:1 characteristics:2 graphene:63 ir:1 thus:2 surface:11 bias:1 cond:1 cone:1 turns:1 vanish:2 technology:1 different:2 open:1 grant:1 cross:1 adsorption:1 largest:1 avoids:1 finite:2 higher:3 used:3 see:2 affairs:1 upon:1 effect:5 hand:1 edges:1 appreciable:1 kim:2 robust:1 lower:1 hexagon:3 off:4 center:1 programs:1 changes:1 itself:1 roughly:1 undoped:1 patterns:1 materials:2 flakes:1 kelly:1 supercell:1 left:1 bending:1 distances:1 lda:8 just:1 less:3 generally:1 jeroen:1 underlying:1 voltage:2 integer:1 paul:1 wafers:1 electronically:1 han:1 density:5 conclude:1 character:2 lattice:9 lett:4 structural:1 momentum:1 take:1 opt:1 beenakker:1 around:5 situation:1 bands:6 breaks:1 increases:1 grid:1 incommensurability:1 vacuum:2 gianluca:1 using:2 nanotechnology:3 counterintuitive:1 particle:2 either:2 rearrangement:1 become:1 inter:1 reasonably:1 right:1 cones:1 stormer:1 fundamenteel:1 phenomena:1 calculated:1 economic:1 respect:1 images:2 indirect:1 intact:1 matching:1 transport:1 kern:1 scale:1 lead:1 bottom:1 measurements:1 does:2 landscape:1 khomyakov:1 fom:1 minimal:1 pinched:1 buckling:1 equivalent:1 each:1 bi:1 broken:1 neugebauer:1 although:2 super:1 properties:1 bz:2 about:2 carried:1 package:1 freedom:1 discussed:1 o:2 simulation:1 greatly:1 consequently:1 block:1 cutoff:1 primitive:1 presence:1 orders:1 into:6 within:4 functional:2 markedly:1 neutrality:1 because:1 determine:1 significantly:1 van:3 additional:1 few:1 there:2 jarillo:1 magnification:1 dispersion:4 width:1 quadratic:1 valley:1 was:3 assumes:1 vienna:1 nitride:5 considerably:1 underestimated:1 complete:1 form:1 leiden:2 relaxed:1 triangular:1 but:2 underestimates:1 atom:10 made:2 applying:1 characteristic:3 periodicity:1 attached:1 maximum:1 devices:1 placed:1 below:1 firsov:2 fermi:6 planes:1 similar:3 called:1 aa:1 ab:2 constant:1 direction:1 peres:1 quantum:1 single:2 exist:1 zooming:1 moves:1 prevail:1 constriction:1 again:1 compared:1 paradox:1 materie:1 no:5 whereas:2 when:3 vanishes:1 sublattice:3 orient:1 preventing:1 field:3 other:8 electrical:2 better:1 mass:6 massless:1 conclusion:1 poor:1 picture:1 condens:1 initio:2 nagashima:1 bonding:3 registry:1 included:1 structure:12 watanabe:1 ago:1 longer:1 complicating:1 giovannetti:1 contacts:1 holes:2 inset:2 attaining:1 time:1 |
0704.1995.txt |@word represent:2 gu:3 2nπ:1 consider:1 magnetic:8 dynamic:1 results:1 sketching:1 leads:1 controversial:1 consists:1 research:1 nificantly:1 symmetrybreaking:1 irrelevant:1 tr:5 gu1:1 those:3 under:3 stabilizing:2 supported:1 amplitudes:1 g2:5 zhang:3 very:6 assuming:1 springer:1 atoms:2 wave:3 mf:23 fab:1 affect:1 treating:1 illustrated:1 4n0:1 hamiltonian:4 did:1 positions:1 solution:3 convenience:1 vector:1 dealt:1 small:3 selftrapping:2 upper:2 smaller:2 oscillation:5 consistent:1 direct:1 sign:1 approximation:1 zero:1 equipartition:1 displays:2 further:1 dynamics:8 canonical:1 even:1 will:4 what:1 g22:1 trapping:1 expressed:2 find:1 experiment:2 above:3 3c:1 new:2 3a:2 3f:1 contrast:1 3d:1 quenched:3 condensed:4 respectively:3 never:2 component:6 here:3 understanding:2 growing:3 magnetism:2 china:5 condenses:1 separation:3 berkeley:4 represented:1 consideration:1 along:1 strong:1 equations:1 appears:1 change:1 obtained:1 institute:1 smerzi:1 study:1 studied:1 allows:1 resulting:1 domains:9 chang:2 studies:1 york:1 spatially:2 divide:1 scales:1 replace:1 decrease:1 condensates:3 eiφa:1 total:4 predicted:1 inc:1 plot:2 conventional:4 intensively:1 distinct:3 jpn:2 approach:1 therefore:3 ψb:2 ψa:10 type:2 theoretical:5 reflects:2 more:1 separated:2 populations:1 initial:2 apparent:1 berlin:1 correspondingly:1 normalized:3 known:1 aligned:1 account:1 rη:4 science:3 equation:1 mn:1 theories:3 macroscopically:1 values:2 temperatures:1 following:2 drops:2 spontaneous:3 beijing:2 weaker:1 figure:3 process:7 thermally:2 share:1 minimum:1 numbers:2 magnitudes:1 hereinafter:1 verlag:1 brings:1 breaking:2 feature:2 chemical:1 how:1 nontrivial:1 sig:1 pure:1 answer:1 ensemble:1 simplicity:1 description:2 may:1 thermodynamic:1 after:2 derived:1 orbits:1 diagram:5 fa:1 plane:1 physik:1 revealed:1 parallel:1 forschungsgemeinschaft:1 attempt:1 dynamical:4 lines:6 correspond:1 neglect:1 so:1 acknowledges:1 typical:2 help:1 indeed:1 pointed:1 top:1 vary:1 soc:2 murray:1 ferromagnets:5 thermal:12 through:2 2v:2 lasers:1 experimentally:1 mentioned:1 cold:2 still:1 excitations:2 its:4 derive:2 group:2 sinθ:2 decay:2 interesting:1 decreases:1 meantime:1 systems:3 h0:3 eur:1 yi:1 eventually:1 qualitatively:3 material:1 walls:1 effects:1 they:1 rotation:2 february:1 several:1 lies:1 always:1 university:2 preferential:1 sufficiently:1 magnitude:1 mode:2 2b:2 each:4 found:1 universit:1 side:2 mean:2 homogeneous:3 spinor:11 domain:36 significantly:1 ed:1 energy:7 ferromagnetism:4 reduce:1 manifests:1 fractions:1 expect:1 quantum:7 our:3 transitions:1 eq:2 special:1 out:4 shown:4 factors:2 gradient:1 furthermore:1 since:1 rev:14 denotes:3 particles:2 attracted:1 rb:5 newly:1 shows:5 foundation:2 theory:3 graduiertenkolleg:1 romano:1 possibility:1 quite:1 completely:1 formation:17 imaging:1 definition:1 interaction:2 ministry:1 persists:1 running:1 ath:1 motion:2 place:1 exponentially:1 consequence:1 condensate:13 first:2 already:1 features:1 symmetry:4 variables:1 number:6 reaches:1 comprised:1 isoshima:2 simplified:2 long:1 open:1 given:3 rewritten:1 indicate:1 introduction:1 leading:1 eqs:4 yin:1 system:14 least:1 1a:1 their:3 1c:1 fermions:1 realization:1 structures:1 1d:1 interests:1 exploring:1 sengstock:2 way:1 klemm:1 manipulation:1 natural:1 than:2 cosθ:3 relative:4 showed:1 ohmi:4 rate:1 annihilation:2 matter:1 determined:1 amplitude:3 were:1 treated:1 behaviors:1 7b:1 7a:2 spectrum:1 curves:1 deutsche:1 randomly:1 conjugate:1 seen:1 confirms:1 occupied:1 clearly:1 viewed:1 lie:1 thoroughly:1 latter:1 oriented:1 potential:2 build:1 hs:8 oscillate:1 towards:1 opposite:1 probed:1 measures:1 algebraic:1 germany:1 letter:2 phase:13 observation:1 surprising:1 considered:3 into:4 stronger:1 drive:1 curie:3 points:1 mechanical:2 velocity:1 oscillates:1 physics:4 lying:2 show:3 doped:1 visualized:1 solutions:2 d3:10 ground:3 3e:1 based:1 itinerant:1 enough:1 should:2 moments:1 only:3 touched:1 factor:8 population:3 local:1 equilibrium:3 do:1 move:1 means:2 dependent:1 de:1 expectation:1 ones:1 3b:2 during:3 tung:1 ϕa:2 gray:1 evolution:2 precession:1 numerous:1 seldom:1 arxiv:1 yield:1 common:1 characteristic:1 inside:2 set:1 exists:1 national:1 2c:2 maximum:1 observed:4 responsive:1 see:1 result:2 enhanced:4 discussions:2 portrait:1 contour:3 best:1 mur:3 portrayed:1 state:10 closed:2 between:2 progress:1 conditions:3 publishers:1 notice:1 recently:2 rotating:1 nature:5 initially:2 suppresses:1 jp:1 extent:1 multiplier:1 2αn:1 bose:20 ferromagnet:7 come:1 szirmai:2 both:1 2n:1 region:4 according:2 spinindependent:1 figures:1 dated:1 context:1 regimes:1 whole:2 experimental:2 con:1 minima:6 co:1 point:7 wall:2 relaxation:3 corresponds:1 cs:1 moreover:1 appeared:1 configuration:2 described:1 suppressed:1 three:1 been:2 magnetized:2 much:1 far:1 petit:3 hardly:1 fig:12 lanzhou:2 direction:2 arises:1 corresponding:1 coherence:2 gas:8 ager:1 bulk:1 coherent:1 hamburg:2 2n0:5 spin:11 present:3 case:7 multi:2 laser:1 pacs:1 solid:3 stabilized:1 single:1 value:4 spontaneously:2 aim:1 while:3 suppose:1 taking:1 larger:1 szabo:2 agitation:6 thus:4 surface:1 equal:1 ii:1 characterize:1 cond:1 technology:1 situ:1 different:1 education:2 develop:1 grant:2 suggest:1 same:1 φa:2 emphasize:1 schematic:1 grand:1 finite:1 independent:4 investigated:2 kis:2 comprehensive:1 effect:3 driven:1 usually:4 insulating:1 opportunity:1 lower:1 nevertheless:1 changes:1 ncet:1 well:1 without:1 components:9 na:11 quantitative:1 model:2 researchers:2 left:1 magnetization:7 just:1 less:2 being:2 generally:1 kill:1 atomic:3 questions:3 g0:3 macroscopic:1 yet:1 previous:3 density:3 regarded:1 luruper:1 thermodynamics:1 lett:5 stable:1 totally:1 stenger:1 take:2 opt:1 around:4 replaced:1 term:3 period:7 matters:1 increases:1 using:1 depicts:1 helpful:1 particle:11 unstable:1 either:1 works:2 reduced:3 because:1 often:1 classical:2 phenomena:1 understood:1 growth:1 respect:1 oscillations:1 mohn:1 neglecting:1 fok:1 provided:1 gradually:1 scale:2 passos:1 bottom:1 qiang:1 integration:1 overlap:10 get:1 does:1 bongs:2 tends:2 2a:3 who:1 chaussee:1 oscillating:2 broken:2 although:1 instability:1 refers:1 properties:1 stage:1 chapter:1 about:1 ferromagnetic:12 column:2 discussed:1 remains:2 larmor:1 mixed:2 connected:1 introduced:2 bloch:1 machida:4 significant:1 ηa:9 image:1 within:2 integral:1 down:1 pair:1 right:1 einstein:4 operator:2 proportional:1 institut:1 support:1 there:4 libration:2 gases:2 start:1 appl:1 bosons:3 low:1 fraction:4 2m:3 was:1 opens:1 function:2 hard:1 αn0:3 complete:1 form:3 some:4 but:2 hu:3 volume:1 taken:1 ho:2 atom:1 line:1 true:1 relaxes:2 mat:1 whether:2 prevents:1 ωs:1 up:2 ur:1 kk:1 below:2 limit:2 demonstrate:1 distribution:5 similar:2 called:2 unmagnetized:1 smeared:2 constant:5 defined:1 certain:2 describe:2 general:2 loops:1 conserved:1 exist:1 periods:2 work:1 distributions:1 regime:3 nova:1 dotted:2 no:4 dashed:1 when:2 field:6 other:3 details:1 normal:1 spatial:3 department:1 you:2 trajectory:1 conclusion:1 formed:2 kinds:1 prepared:1 important:1 dissipation:3 gets:1 structure:12 condensation:1 longer:1 space:4 departs:1 affirmed:1 time:8 n0:29 starting:1 once:1 |
0704.1996.txt |@word squared:1 magnetic:2 four:10 entropy:2 parameterization:4 consists:5 cyprus:3 whose:3 calculate:1 paris:1 γi:6 under:11 rise:4 solution:7 glued:4 jhep:10 coordinate:4 concise:1 consistent:4 francesco:1 approximation:4 second:6 estimated:1 even:4 symbolically:1 above:18 hull:1 new:2 increasing:1 coefficient:1 crunch:1 simultaneously:2 behavior:3 never:1 here:14 jcap:1 brustein:1 path:27 herv:1 interpret:1 patches:7 obtained:7 leaves:2 suitable:1 spacetime:1 cancellation:1 divide:1 classification:1 slices:1 highly:2 visible:1 remnant:1 total:6 circumvent:1 unit:3 would:14 motivate:1 negative:3 m1:8 therefore:5 m2:8 robertson:1 type:6 naive:1 curvature:12 tf:3 hole:3 must:9 springer:1 work:3 supercoordinates:1 theories:7 akin:2 example:9 impose:2 imτ:28 indicated:2 give:5 organized:1 generically:1 indicates:1 r12:3 end:5 provide:2 feature:3 how:6 hot:1 ordinary:4 faulty:1 classify:1 description:31 replacing:1 oscillators:1 earlier:1 diagram:2 types:1 ooguri:1 gluing:5 effective:5 summing:2 enter:1 order:16 interpretation:12 over:24 satisfied:1 satisfies:1 before:3 cll:2 asymptotes:1 πr2:2 fiz:1 fix:1 writing:1 better:1 kaplunovsky:1 production:1 imu:5 imt:14 renormalizable:1 hidden:1 easier:1 them:5 combination:3 bang:3 they:4 singularity:7 backgrounds:15 reasonable:1 each:5 cfts:2 t2:10 ghosts:1 obers:1 crucial:2 ry:12 rz:10 dsn:4 mγ:1 reader:1 constants:3 rh:2 linear:9 associate:2 free:9 admits:1 r1:1 r2:10 ds2:11 ds3:1 signature:5 corrections:4 onto:1 already:4 features:2 render:1 tachyon:2 another:2 illustrate:1 similarly:6 twisted:18 needed:1 seiberg:3 cycle:6 tasi:1 positively:2 past:4 target:11 showed:1 tree:2 correlators:1 matter:4 classes:2 pioline:1 perturbative:5 hellerman:1 rewrite:1 dθ2:4 seek:1 convenient:2 forces:1 circles:2 blue:2 though:1 tye:2 metrics:1 involving:1 sethi:1 phase:3 marie:1 calculated:1 partition:35 curvatures:1 vertices:1 curie:1 points:5 principle:3 section:14 infrared:3 iǫ:1 gauge:17 solutions:4 calculable:3 analogue:3 d2:4 proposed:1 wzw:12 explain:1 topological:2 specify:1 rich:1 integrate:4 constant:6 do:6 di:1 dg:3 de:22 preferred:1 dz:3 dx:4 dy:1 dt:1 du:1 ds:1 normalizable:3 fields:14 patch:7 twice:1 nδ:1 2iπ:1 observer:2 depends:7 radius:22 result:3 discussions:2 tensor:2 worldsheet:19 θeiφ:2 cosmologies:6 symmetric:1 encounters:1 terms:19 nature:3 weak:2 however:11 topology:2 cos:3 against:1 4h0:2 contribution:26 argue:1 disappears:1 unshifted:8 presumably:1 had:1 factorize:2 directions:2 written:1 mathieu:1 chirality:2 three:6 iψt:1 much:1 tan2:6 elitzur:1 supersymmetric:4 quantities:2 θd:1 sarmadi:1 spin:2 applied:1 transformation:8 euclidean:54 near:9 applies:1 property:1 procedure:1 seven:1 spacelike:1 equator:2 iu:2 ii:4 ik:1 cone:5 conj:1 sever:1 containing:1 perform:6 make:1 complex:7 big:4 dimensionless:2 independent:4 laboratoire:1 trajectories:1 hand:1 antoniadis:5 characters:5 thoughts:1 subgroups:1 weakly:1 ope:1 contact:1 left:10 sarangi:2 just:2 able:2 identify:4 thanks:1 integer:3 facts:1 previous:5 candidate:1 character:1 iπ:4 iτ:1 iφ:1 breaks:3 possible:1 possibly:1 fusion:1 background:23 apart:1 performing:2 specific:8 remind:1 steps:2 arbitrary:1 kiritsis:6 dualities:1 deal:3 cnrs:3 umr:1 univ:1 comments:3 landscape:2 unstable:1 bold:2 compactifications:3 kruskal:1 super:5 properties:8 proceed:3 o:3 plus:1 horizon:1 connected:1 automatically:1 considerations:1 presence:4 rotations:4 down:1 right:10 sov:1 fortsch:1 2dimensional:1 aharony:1 vafa:2 topologies:5 support:1 initial:14 ψi:4 eiπτ:1 was:4 gij:1 form:17 offer:1 back:1 cedex:1 true:2 absent:2 coset:9 compactification:2 heterotic:1 promises:1 moore:2 computing:1 abstract:1 dθ:1 check:1 constructed:2 no:21 nb:2 wavefunction:2 when:13 vanishes:2 nf:2 setting:9 role:1 picture:3 models:38 variable:1 longer:2 dω:1 dφ:7 ferrara:1 dτ:6 interval:1 together:3 dρ:2 factorizes:2 remarked:1 n1:8 n2:8 restored:1 concept:1 global:8 leads:1 computation:3 hyperboloid:2 depend:1 charge:18 infinitesimally:1 analogous:1 string:78 mixte:1 choice:8 exact:2 riemann:2 level:39 turns:1 discrete:4 round:1 upper:2 mn:1 illustrating:1 maximization:1 cosh:1 appear:3 realizing:2 current:2 axial:2 satisfy:5 tachyons:1 cos2:3 along:10 appears:1 change:1 policastro:1 studied:1 spheres:1 exemplifies:1 suggestion:1 hospitality:1 spatially:2 extra:1 surmount:1 2φi:1 working:1 positive:8 eφ:2 france:1 selfdual:1 criteria:1 nicosia:1 diagrams:2 dudv:1 duality:9 apparent:2 everywhere:1 cases:3 fermionic:9 parameterize:4 rotational:1 deformed:1 oscillator:1 reviews:1 values:8 following:10 making:1 arrive:1 2ll:1 figure:11 expanding:3 weighting:1 performed:5 verlinde:2 spanning:2 r22:3 regularization:1 discussion:4 write:1 pure:1 parameter:2 divides:1 product:3 may:8 dx2:2 produce:1 data:10 stress:2 natural:1 dynamical:1 sectors:7 explicit:2 su:22 cosmology:37 accelerated:1 so:23 sn:5 sl:21 definitions:1 se:2 typical:1 petkou:1 indeed:7 mainly:1 statistical:1 cuts:1 derive:1 group:10 thank:2 interesting:9 coordinates:5 susskind:1 outside:1 non:24 introduce:1 half:18 now:7 discuss:6 nor:2 anastasios:1 term:2 holographic:3 james:1 compactifying:2 possibilities:1 instabilities:2 instability:1 quarter:1 ei:3 ee:1 eu:2 space:55 furthermore:1 lagrangian:1 cancels:1 formula:2 shows:3 orbifolds:4 after:7 theory:82 derived:1 divergence:1 possibility:1 bigatti:1 costas:1 atick:1 cycles:2 transition:7 motion:3 hanany:1 massive:1 think:1 first:17 origin:3 intuition:1 simplifies:2 symmetry:18 variables:1 simplified:1 carry:2 impossible:1 open:1 angular:8 given:30 necessarily:2 sheet:1 unitarity:1 indicate:1 brevity:1 rz2:1 convention:1 williams:1 gives:4 rabinovici:3 way:6 asymmetric:2 continuous:3 transverse:1 x2:1 attempt:1 copy:1 representing:1 than:2 coefficients:2 unfortunately:2 accordance:1 hagedorn:10 future:3 merits:1 topics:1 argument:2 generalization:1 anr:2 exchanging:1 recover:1 any:9 isolate:1 ideas:1 note:3 take:7 timelike:1 modulus:1 formulas:1 begin:1 senechal:1 trace:1 friedman:1 decreasing:1 algebraic:1 importantly:1 pair:1 analytically:5 probes:1 especially:1 considered:3 later:7 gepner:2 sigma:7 quantity:4 precise:3 show:1 obtains:1 spaces:2 threshold:1 ground:1 histories:1 analytic:12 only:14 explicitly:2 black:7 closed:8 get:1 contracts:2 superpotentials:1 expectation:1 etcetera:1 progress:1 e2φ:4 reveals:1 uv:15 namely:3 wonder:1 surfaces:2 review:5 definite:1 functionals:2 label:1 boundaries:4 behind:1 between:4 geometric:5 notice:4 killing:2 concentrate:1 jetp:1 come:2 circumference:1 many:2 region:18 contract:2 instanton:1 embedding:1 expression:4 comes:1 continuation:21 anti:5 cancel:3 moreover:5 considers:1 branes:2 considering:1 sensible:1 wess:2 defined:16 combined:1 direction:8 bachas:2 observers:1 observe:1 those:2 case:21 disconnected:2 developing:1 zstring:1 irrespective:1 conformal:32 strominger:1 coupled:1 metric:26 clutter:1 blan:2 supercurrents:1 superconformal:16 different:3 develop:1 etc:1 same:8 shifts:5 arguments:8 universality:1 nanopoulos:1 physical:4 extended:2 entanglement:1 changing:1 invariance:3 costa:1 modes:3 charges:2 without:1 very:3 model:40 isometry:1 manifold:11 being:1 rest:1 torus:10 aspect:2 summed:1 cpht:2 generator:4 thinking:1 param:1 lett:7 contractible:1 momentum:3 real:1 around:3 2u:4 admitting:1 early:1 vacuum:2 using:9 mod:2 particle:1 reduces:1 either:1 integrals:2 giuseppe:1 deduce:1 specified:6 intact:1 slice:11 ellis:1 dimensions:2 critical:1 deficit:1 provides:2 power:1 equivalent:7 eiπ:11 found:1 2n:1 central:13 gregori:2 theorems:1 discussed:10 factors:1 act:1 cambridge:1 rolling:1 references:2 einstein:1 operator:1 spinors:2 hep:35 log:8 there:15 low:4 enough:1 jul:1 factorized:1 embedded:1 dabholkar:1 liouville:3 embed:2 2hl:2 detailed:1 propagate:1 describe:3 general:10 loops:1 examine:1 gradients:1 az:2 again:4 partouche:2 field:50 valid:5 dφl:1 spatial:3 massless:3 separate:1 time:44 includes:1 important:3 perturbatively:1 stringy:6 starting:1 original:1 consider:13 scalar:2 generalize:2 follow:2 expressions:3 disk:8 particles:1 equivalence:2 kα:2 preserved:2 th:37 nsns:2 te:1 norm:18 belonging:1 amplitudes:1 straightforward:2 far:2 translations:2 witten:5 ultraviolet:3 difference:4 condition:6 hamiltonian:2 louis:1 troost:2 list:1 large:24 small:11 holography:1 periodicity:1 tex:1 zero:9 further:7 sum:7 lhomond:1 version:3 gi:4 intersect:1 sup:3 erieure:3 contrast:1 full:10 ranges:1 modular:5 situation:1 concluding:1 berkooz:2 strong:1 equations:5 generalizing:3 amount:3 periodic:1 action:15 via:3 family:3 takes:2 finally:4 ψt:5 ψk:1 nucl:15 sitter:19 ψl:8 taken:9 more:7 flat:9 operators:3 particular:13 known:6 producing:1 chiral:2 bedford:1 keeping:2 tachyonic:3 quantized:6 recall:1 equation:11 remain:2 nine:2 evolved:1 learn:1 nonsingular:1 cosmological:37 ds2e:1 sphere:9 numbers:1 sense:1 needs:2 goal:1 polchinski:1 breaking:5 eorique:1 ensemble:1 inflationary:1 fz:1 singularities:16 mapping:1 coming:2 geometrical:8 associ:1 twisting:1 parameterized:1 specifying:1 banks:1 ry2:1 fα:3 fβ:1 ite:4 gauged:6 thermal:54 paper:6 through:2 existence:2 its:11 discretizing:1 boson:4 actually:1 late:2 absence:1 microscopic:2 systems:8 jacobi:1 supersymmetry:13 good:1 return:1 propose:1 dzdz:1 reflected:1 framework:6 cosh2:1 bigger:1 2t:3 easily:2 gets:1 always:1 evade:1 2g:1 radial:1 2m:1 universit:1 2h:1 energy:1 hard:3 expect:2 sketched:1 quantum:11 beyond:2 cˆk:1 dominates:1 solved:1 since:11 research:1 acting:4 denoted:1 occurs:1 tomaras:1 constantin:1 2h0:2 difficulty:1 reason:1 imagine:1 beginning:1 definition:5 pairs:1 alluded:1 consequence:1 seeming:1 number:4 gs2g:1 construct:3 craps:3 fluxes:6 perturbation:7 temperature:27 introduction:2 leading:5 least:1 expand:1 calculations:1 dt2:3 scheme:1 worldsheets:4 shifted:14 part:15 norms:1 sign:1 iliopoulos:2 john:1 horizons:2 double:2 determined:2 motivation:1 zamolodchikov:1 zt:2 vilenkin:1 conjugate:1 null:2 depending:2 self:2 internal:7 generalized:4 hgh:1 petropoulos:4 electric:1 measures:1 reach:1 most:1 nothing:5 probabilistic:1 parafermions:7 clear:6 parafermion:3 traditional:1 exp:1 usual:3 physics:1 sector:12 cot2:1 rizos:1 relation:1 find:2 believe:3 dividing:1 factor:15 integrable:1 circle:4 abelian:1 distance:2 dependent:4 express:2 lattices:5 hij:2 arxiv:36 factorization:2 rajesh:1 common:2 4g0:2 set:14 undergoes:1 plausible:1 collectively:1 see:23 descriptions:2 theoretic:6 mechanically:1 axially:1 halves:1 various:5 eksp:1 conditions:6 initially:2 vanishing:3 both:6 prescription:7 mrtn:3 quantization:1 context:2 whole:2 point:9 simple:3 asymptotically:3 corresponds:5 dimensional:28 superstring:8 pr:1 ensures:1 described:13 transformations:2 due:7 prezas:1 describes:3 anisotropic:1 empty:1 spectrum:1 understand:2 2ǫa:1 2ǫb:1 p2:4 p1:10 ǫg:1 look:1 exponential:1 while:6 replaced:4 compactness:2 evaluating:1 loop:10 resolved:1 vol:1 tω:1 itself:1 hyperbola:2 fermion:2 currents:3 nappi:1 2g0:2 belong:2 benign:1 emphasize:1 higher:2 used:6 cigar:5 moving:5 purpose:1 kamenshchik:1 recent:2 normale:3 lower:1 analysis:4 wedges:3 rindler:4 reviewed:1 world:1 useful:2 alternative:2 cut:8 signals:1 source:1 dixon:1 solvable:1 remaining:5 gs:1 evaluate:3 necessary:2 modifications:1 rotate:2 semi:2 follows:8 signal:1 manifest:2 separately:1 flux:4 continue:2 yields:2 alternatively:1 essential:1 creation:2 some:9 pierre:1 understood:2 examples:11 universes:6 giveon:2 scale:1 shall:2 dilatons:1 minimal:1 varying:1 continuing:4 rue:1 chiralities:1 become:2 integers:7 concretely:1 constraint:2 regular:2 block:4 cutoff:1 into:13 within:3 integral:30 appropriate:3 proportional:1 acknowledgements:1 classically:1 twodimensional:2 question:1 bosons:7 analyze:2 sections:3 theory1:1 elsewhere:1 line:3 ns5:1 characteristic:1 2πin:1 2πm:1 up:6 us:11 2πt:4 uk:1 fluctuations:3 similar:7 ki:2 associated:11 eφ0:3 influence:1 orientifolds:1 single:1 formalism:4 codes:1 amounts:3 fixing:1 department:1 nice:2 alwis:1 calculating:1 θdφ2:3 generated:3 allowing:1 structure:7 implies:3 holes:1 equivalently:1 weights:2 having:2 ambiguities:1 gt:3 partial:2 gr:1 results:4 gg:1 go:2 particularly:1 contributions:6 2r2:1 lptens:3 compact:29 stable:1 g2:16 g0:1 continues:2 wave:49 cardoso:1 tre:1 radii:8 hartle:11 manifestly:1 noted:1 configurations:7 smaller:1 zh:1 zk:1 folds:6 sin2:2 fold:37 imply:1 insertion:1 ctot:1 cft:10 zs:1 giving:2 expressed:5 consistently:2 respectively:1 gathered:1 desired:1 explore:1 others:1 z4:12 z2:7 remark:1 parameters:1 broken:5 technical:1 resulting:3 vectorially:1 involves:1 composed:1 boundedness:1 maldacena:1 anomalies:2 apply:2 causal:1 θdφ:1 use:7 usa:1 remains:3 next:1 process:1 untwisted:9 ecole:3 started:1 becomes:12 iia:1 normalized:1 ρe:1 integrating:3 decouples:1 infinitesimal:1 obvious:1 thin:1 universe:18 fulfill:1 calculation:7 thermally:1 purposes:1 high:1 mcgreevy:1 dilaton:16 six:1 regions:6 superstrings:1 instead:3 sin:3 profile:1 blocks:3 singular:7 kounnas:16 realized:3 light:5 correspond:1 element:3 allow:3 divided:1 reversal:3 despite:1 interpreted:2 including:4 looks:1 orbifold:16 relativity:4 lh:6 h2:22 degrees:4 choose:2 nakayama:1 derivative:1 defining:1 derendinger:2 outlined:2 gauging:1 cutting:3 h4:2 rotation:1 realize:1 tensoring:1 university:2 identified:1 lorentzian:11 narain:1 related:3 barvinsky:1 static:1 measure:1 our:15 eiht:1 out:10 rey:1 matrix:3 integrates:1 rev:6 obstructions:1 integrated:1 math:2 takayanagi:2 interactions:1 diagonal:7 york:1 dω2:2 interaction:1 geometry:8 could:2 times:3 ahler:2 isotropic:1 teor:1 sugawara:1 intuitively:1 hurdle:1 precisely:3 system:14 relations:1 πr:4 their:5 fermions:6 perfectly:3 behaved:3 final:4 shell:2 ben:1 succeeded:1 penrose:1 distinguishes:1 amplitude:8 negatively:1 symmetries:1 thereto:1 need:11 curved:3 apparently:1 clearly:1 viewed:2 angle:6 eter:1 physique:1 gravity:5 hikida:1 lectures:1 brane:1 eight:3 but:8 class:9 subtracted:2 face:1 construction:2 χj:4 fact:8 supported:2 rotating:1 trivial:3 q1:10 q2:4 based:7 should:4 jan:1 exchanged:1 e2φ0:6 familiar:2 overall:1 stripes:1 ones:3 words:1 fateev:1 striped:1 evolution:2 approach:1 qc:1 fixed:7 pertains:1 view:3 2p1:1 moduli:17 2p2:1 modulo:5 computed:4 exists:1 frame:3 geometrically:1 closer:1 state:3 correctly:1 invariant:10 boundary:36 lg:6 configuration:2 interpretations:2 limits:1 freely:4 taking:1 equal:6 april:1 admit:4 hω:1 comment:1 1dg:2 relevant:4 co:7 conclude:1 environments:1 ab:1 respect:3 ct:3 cornalba:1 copies:2 treat:1 hawking:11 proposal:9 anomaly:1 define:16 arises:1 corresponding:21 zwirner:1 scrutiny:1 bulk:1 angles:1 last:1 present:1 multi:1 value:1 choices:4 will:15 dieter:1 almost:8 thus:9 instantons:1 surface:2 lust:2 dual:13 compactified:3 φr:6 φt:5 generic:3 divergences:2 unity:1 parts:1 units:1 φi:2 finite:10 φl:8 difficult:3 zumino:2 upon:2 infinite:4 kutasov:3 identity:6 genus:10 off:3 center:2 nevertheless:2 well:15 sets:1 position:1 subgroup:4 spherical:1 identically:1 obtain:27 detail:3 underlying:1 momenta:1 glue:7 macroscopic:2 adv:1 preprint:2 density:1 bell:1 lattice:29 add:2 match:2 identical:2 exponentiating:1 insert:1 δz:1 like:24 δv:1 δw:1 δu:1 δi:6 δg:2 δb:1 δa:1 because:2 classical:7 smoothly:1 phenomena:1 choosing:2 proper:4 gave:1 lead:2 avoid:1 overlap:2 does:1 assuming:2 2q2:1 2q1:1 expansion:1 although:5 concreteness:1 usar:2 imaginary:2 freedom:6 dependence:4 rendered:1 previously:1 h0:7 h1:8 h6:2 functional:2 parameterizing:2 been:1 bosonic:4 quadratic:1 crucially:2 naturally:2 function:88 insures:1 sequel:1 ht:6 volume:12 hi:8 hl:1 hg:3 partially:2 made:3 compute:7 whether:3 wish:1 gravitational:5 smooth:1 below:6 limit:8 computable:2 problem:2 display:1 int:1 contribute:2 correction:1 denote:1 twist:2 interchanged:1 identities:4 functions:4 orbifolding:3 cˆ:11 other:20 theor:1 conclusion:1 toumbas:1 coupling:10 resolution:1 4t:3 4u:4 strings:2 4n:1 θh1:3 4m:1 parafermionic:23 ψhh:1 augmented:1 |
0704.1998.txt |@word ibid:2 represent:1 katz:1 l17:1 gr:22 skip:1 green:1 global:6 desirable:2 results:9 invent:1 four:2 olive:1 scalar:39 amendola:4 b545:1 consists:5 contributions:2 axenides:1 causes:1 consider:4 compact:2 content:2 dimensionality:1 const:5 sahni:2 quiros:2 caldwell:2 description:2 equivalence:3 braginsky:1 vef:9 v12:1 asking:1 those:2 th:4 under:10 analogous:1 fermionic:1 worth:1 started:1 pay:1 string:4 straightforward:1 chameleon:1 far:5 rise:1 keeping:1 choice:6 witten:1 putting:1 casas:1 govern:1 nonminimal:1 affect:2 nishioka:1 difference:1 nor:1 gurion:1 look:1 kinematic:1 level:2 turns:6 list:1 applicable:1 expectation:1 large:2 solved:1 detected:2 section:2 small:6 gauge:1 prevent:1 mn:5 force:37 specially:3 det:3 d9:1 discover:3 sign:2 approximation:1 astrophys:1 zero:9 bg:70 design:1 equal:1 further:1 dynamics:3 implemented:1 a14:2 substitute:1 canonical:1 even:3 will:16 what:2 nonlinear:1 plays:3 appear:5 comparable:2 trivial:1 sum:1 contributed:1 while:4 find:1 nmp:1 decade:1 above:2 deal:1 new:4 mp:39 body:1 d69:1 full:1 simultaneously:1 lee:2 prescriptions:2 exchange:3 respectively:2 negative:1 equals:1 here:7 ranges:2 objects:2 picon:1 jcap:7 sheva:1 ratio:3 gonzalez:1 strong:1 equations:19 appears:5 change:3 obtained:4 search:1 antisymmetric:1 spite:2 pressure:10 shift:12 study:1 studied:10 allows:5 ravndal:1 suggests:1 upadhye:2 simultaneous:1 resulting:5 data:1 action:16 chang:1 narrow:2 changes:1 involves:2 formulated:1 spatially:2 transformations:4 a21:2 apr:1 namely:1 substitution:2 modifying:1 visible:3 catena:1 inequality:1 analyzing:1 gumjudpai:1 neutrino:1 total:5 planck:3 wang:4 pietroni:3 d73:2 use:5 d71:1 proceed:2 would:7 d75:3 remains:1 positive:5 tocchini:1 predictions:3 next:3 few:2 nucl:2 call:2 therefore:10 taken:2 conservation:1 simpler:1 type:7 theoretical:1 armendariz:1 more:6 sort:1 flat:2 israel:1 formally:2 successful:1 becomes:4 factor:2 curvature:6 bartolo:1 tested:1 appendix:3 eθ:1 particular:4 known:8 cases:1 iii:1 zimdahl:4 must:1 account:5 panov:1 decouples:2 equation:10 work:1 ρm:3 gundlach:2 theories:4 wands:2 geometry:1 remain:1 minimum:1 values:3 thin:1 universe:11 following:9 making:1 modifies:1 spontaneous:6 example:11 most:2 dxi:1 cosmological:11 give:1 riotto:1 allowed:1 carroll:3 purposes:1 generically:11 high:3 selfinteraction:2 assumptions:3 numbers:1 want:1 sense:3 wonderful:1 standard:6 keep:1 evidently:2 simple:1 absolute:1 copeland:2 practical:1 end:2 advantage:1 turn:1 rather:2 describes:3 discussion:1 breaking:2 feature:3 regions:2 submillimeter:1 amazing:1 ellis:1 opposite:3 justin:1 instead:4 actuality:1 explains:3 dicke:2 simplicity:1 especial:1 d74:2 magnitudes:1 intended:2 mukhanov:1 algebra:1 may:17 earlier:2 singularities:1 different:8 lab:2 minkowski:1 millimeter:2 fa:2 wrong:1 studying:2 starobinsky:2 designed:3 nishiyama:1 cambridge:4 law:3 revealed:2 concerns:1 φv1:1 εabcd:2 realized:5 short:2 dynamical:4 effective:21 higgs:1 light:3 comelli:3 explicit:2 yielding:1 vector:1 element:1 dilaton:37 so:6 d63:2 fundamental:3 kaganovich:9 polyakov:1 sg:2 order:21 gµν:10 exotic:1 zlatev:2 archimedes:2 enter:1 essence:4 astronomical:3 mainly:1 satisfied:3 years:1 redefinition:1 experiments:10 including:5 16πg:1 penetrate:1 differs:1 existence:5 kinetic:2 b302:1 its:10 refs:2 gannouji:1 observational:1 selfconsistent:1 l79:1 singular:1 how:1 energies:1 interesting:7 masses:1 relativity:2 unity:3 coordinates:2 li:3 late:6 okabe:1 absence:12 degrees:1 choose:2 derivative:4 main:4 might:1 overcome:1 correspondence:1 non:7 coley:1 pichon:1 introduce:1 framework:4 effects:8 they:1 determines:2 singularity:1 now:6 realize:2 bigger:1 possess:1 easily:3 february:1 finite:1 equality:2 parameter:6 university:1 presented:2 e2θ:1 valentini:1 possibilities:1 magnitude:18 l2:7 each:3 crossing:1 accompanied:1 limit:3 lasting:1 goldstone:1 ann:2 gasperini:2 significantly:3 formulate:1 generation:1 dumping:1 energy:50 ef:3 reduce:1 idea:5 related:1 solution:2 living:1 seesaw:1 astrophysical:2 measure:32 quantum:1 laboratory:2 eq:22 special:1 out:8 conjectures:1 cosmologically:1 shown:2 divide:1 space:16 gradient:2 furthermore:1 since:6 lagrangian:5 particles:13 attracted:1 acting:1 investigation:1 rel:1 print:3 constants:1 ref:11 independence:1 shows:2 after:4 theory:22 interactions:1 t00:1 vac:3 possibility:6 quite:4 playing:1 approaches:5 b122:1 complicated:3 term:16 besides:2 imagine:1 region:2 estimate:1 questioning:1 beginning:1 definition:1 interaction:3 bellido:1 english:1 via:2 could:2 d65:2 times:2 motion:9 quintessence:4 exponentially:1 distinctions:1 corrections:2 birkhauser:1 guendelman:11 think:1 first:8 origin:2 xi:3 features:4 symmetry:19 variables:4 number:5 dimopoulos:1 restrict:1 infinite:1 smaller:1 morita:1 relations:1 another:6 impossible:1 xia:1 given:1 checked:1 temperature:2 become:2 introduction:1 unknown:1 eqs:5 system:1 least:3 yamaguchi:1 their:2 intermediate:4 too:2 statement:1 realization:2 postulate:1 nelson:1 speaking:2 fermions:2 holden:1 shell:1 d42:1 explanation:1 zeroth:1 stress:1 prediction:2 d70:3 assumption:4 part:2 skordis:1 translation:1 peccei:1 representing:1 than:9 coefficients:1 piazza:1 wide:2 kind:2 ben:1 hoyle:2 see:18 normalizing:1 matter:77 appealing:1 future:5 were:7 toward:1 treated:1 stacey:2 perturbative:2 types:1 modeled:1 khoury:3 entail:1 cohn:1 farrar:1 correction:3 modern:1 mind:1 regime:8 direct:1 recently:1 say:2 manner:1 d43:1 sen:4 need:2 curved:3 turner:1 cosmology:2 apparently:1 orders:8 indeed:1 gives:2 strength:4 ratra:3 form:15 depending:4 convenient:2 latter:4 responsible:1 able:3 gravity:11 mechanism:1 note:7 potential:7 take:2 negligible:1 b573:1 accuracy:1 fischbach:1 sm:6 trace:1 normal:24 ϕb:3 object:1 satisfy:1 alam:1 coordinate:1 baµ:3 steinhardt:4 meaning:1 nothing:1 jakubi:4 measured:1 why:6 involving:2 interacting:1 workshop:1 nonlinearity:1 clear:2 lose:1 stronger:1 dimension:1 astro:7 ohta:1 principle:5 guo:3 b571:1 physics:4 notion:2 fact:8 sector:2 phenomenon:1 index:1 show:3 violation:2 definite:2 straumann:1 notations:1 purely:1 attempts:3 dilatation:5 relation:4 solutions:3 participate:1 keywords:1 earth:1 d4:5 fine:7 availability:1 fifth:29 ground:2 o:1 feng:2 based:2 damour:6 parameters:9 d59:2 explain:1 b197:1 state:7 should:9 jan:1 only:21 explicitly:1 subsection:2 equipped:1 2bg:12 nordtvedt:1 bransdicke:1 exclusions:1 local:4 hope:3 do:2 means:11 dependent:4 simplest:1 tsujikawa:4 fluid:1 mission:1 d15:1 cannot:5 listed:1 words:1 during:1 alimi:1 ϕa:16 boundary:1 ϕc:2 ssb:3 g0l:1 reveal:1 evolution:3 resolve:1 densities:1 d48:1 conditions:27 arxiv:2 grav:5 garcia:1 qc:7 paper:11 contain:2 through:2 explanations:1 inside:1 view:1 riemannian:5 ignored:1 set:2 balakin:2 constructing:1 acquired:1 frame:18 geometrical:1 ends:1 up:1 observed:2 sef:1 depends:2 sec:6 result:13 dimensionfull:1 close:4 cold:1 uν:1 detect:3 tensor:8 mentioned:1 kl:3 ways:1 subsequent:2 pavon:6 diluted:3 cai:2 d58:1 vii:1 enough:1 determined:3 mota:1 between:10 crude:1 invariant:9 neither:1 d53:1 numerous:1 d55:1 d56:2 d57:2 hence:1 perfect:1 notice:2 terms:10 reproduced:2 useful:1 nature:2 attention:1 weak:2 however:6 sola:1 white:1 hypothesis:1 key:2 fluctuations:1 composite:1 configuration:1 suppressed:2 holds:1 both:5 enables:1 last:8 signed:1 hung:1 tuck:2 many:7 taking:6 conclusions:1 according:4 emerges:2 connection:6 manifestations:1 dated:1 context:6 d37:1 collection:2 contribution:12 estimation:2 disappears:3 heckel:1 experimental:1 grounds:1 pre:1 nection:1 fields:23 point:6 cc:6 lagrangians:3 asymptotically:1 period:1 ultrashort:2 coincidence:2 dimensional:3 represented:2 written:1 exhibits:1 unsuccessful:2 respect:5 nojiri:1 testable:1 pseudoscalar:1 second:3 unusual:2 jetp:1 described:1 tuning:7 decoupling:1 basis:1 addition:3 locally:1 odintsov:1 due:7 been:7 int:5 beer:1 much:4 frw:1 kapner:2 collections:1 ph:10 b423:1 exactness:1 pm:1 arises:1 corresponding:3 tµν:1 observable:1 quantities:1 concerning:2 gas:2 krause:1 zhetf:1 dave:1 former:1 present:15 sami:2 case:18 negev:1 δsm:2 bφ:9 exponential:2 pacs:1 estimations:2 appearance:2 aip:1 value:4 spontaneously:8 aim:1 near:5 chimento:4 situation:2 gubser:2 balance:6 couplings:2 loop:2 real:2 detailed:2 larger:6 coupled:8 inflaton:2 vi:1 metric:14 formulation:1 thus:5 them:2 iv:1 ii:1 reads:2 sudden:1 conf:1 seen:1 gd4:2 zhang:5 fermion:2 fulfilled:1 containing:1 shaw:1 occupied:3 make:7 disappearance:1 intrinsic:1 lett:24 same:12 any:8 shorter:1 epoch:1 noninteracting:1 quant:5 pressureless:1 avoids:1 dimensionless:1 physical:3 infer:1 breakdown:4 independent:3 used:5 infinity:1 fekete:1 numerical:1 effect:5 hand:4 driven:2 v1:19 v2:12 polarski:1 padmanabhan:2 purpose:1 eαφ:4 potentials:1 dust:24 invariance:5 b2g:3 normalization:1 early:2 lower:1 motionless:1 shortly:1 whose:1 scenario:1 nevertheless:2 makes:1 ingredients:1 well:8 analysis:2 concrete:1 sov:1 without:10 solve:3 components:3 consistency:3 very:23 position:1 model:37 possesses:2 bodies:2 usual:6 ny:1 construct:2 manifold:2 just:2 less:3 being:4 generally:2 newton:1 obtain:5 rest:1 ideas:1 sources:1 underlying:7 predicts:2 using:7 proceeding:3 alternative:2 macroscopic:7 previous:1 chiba:2 superficial:1 initial:2 density:53 mostepanenko:1 regarded:1 conclude:1 seems:1 except:1 weiss:1 sφ:2 boston:1 reasons:1 priori:1 transformed:1 treatment:1 easy:1 theorem:1 influencing:1 consideration:3 barrow:2 totally:1 transformation:5 momentum:5 gkl:2 resolved:1 tests:2 gαβ:3 yukawa:3 represents:1 big:2 goodwin:1 possible:14 corresponds:1 dark:27 inflation:2 provide:4 vacuum:13 immediately:2 emergence:1 8πg:2 mod:14 generated:1 modifications:1 like:6 excluding:1 superstring:1 follows:5 extremely:1 roll:1 specific:1 remind:1 yields:3 either:2 experimentally:1 arbitrary:2 degree:1 δg:2 weiner:1 essential:1 adelberger:1 therein:1 parity:1 satisfactory:1 right:1 old:2 classical:2 sequence:1 2x:1 some:4 back:1 understood:1 a16:1 joyce:1 nanometer:2 ourselves:1 δbg:2 happens:1 provided:3 ferreira:1 scale:17 tmt:22 zhou:1 lead:1 d66:2 measurements:2 novelty:1 integration:11 burges:1 does:3 exit:1 provides:4 proc:1 schwarz:3 inserting:5 varying:2 measures:6 d61:3 power:1 rep:1 bm:22 l1:17 annalen:1 conventional:2 expansion:1 broken:8 centenary:1 although:1 found:2 dictated:1 gibbons:1 stage:2 comparison:1 about:3 working:1 onera:1 constraint:37 freedom:3 discussed:5 dependence:10 recognized:1 reduced:1 compatible:1 distinct:1 range:4 important:7 otv:1 evident:1 gv2:1 d64:4 d67:2 reproducing:2 os:1 d60:2 automatically:4 d62:4 homogeneous:1 rev:61 christoffel:1 presence:1 into:18 implications:1 three:4 down:1 2v2:2 appropriate:4 references:1 einstein:27 albrecht:1 france:1 ρvac:2 hep:7 additional:4 dimensionful:1 assumed:3 strictly:1 there:6 question:3 approximate:1 long:3 class:6 start:6 anderson:1 detectable:1 low:5 way:9 analyze:2 was:9 palatini:1 function:6 newtonian:4 phenomena:1 a13:1 differences:1 nontrivial:1 but:15 principles:3 volume:4 g00:1 testing:1 true:2 brans:1 condition:9 made:1 applying:2 consequences:2 consist:1 characteristic:1 gravitational:8 variations:1 particle:7 us:7 achieving:1 below:3 ϕd:2 novello:1 bf:1 demonstrate:1 problem:20 stages:1 similar:5 regimes:2 strongly:1 cosmo:1 morikawa:1 constant:22 moore:1 introducing:1 defined:6 certain:2 abstract:1 describe:3 influence:1 liddle:1 general:9 fujii:1 exist:1 dλ:4 a12:2 our:6 graceful:1 formalism:5 constructed:3 phantom:2 again:2 functions:5 compared:2 no:4 uµ:2 allow:1 weltman:1 when:13 detail:2 field:39 wetterich:3 other:12 role:6 details:3 holding:2 outputs:1 department:1 massless:1 sufficient:1 conclusion:1 picture:1 a17:1 peebles:4 accidental:1 xαi:1 models:14 resembles:1 variation:4 includes:2 chance:2 restoration:1 suppression:2 describing:1 structure:5 lm:2 algebraic:1 implies:2 coupling:31 practically:3 assume:4 veneziano:1 factors:2 together:3 original:2 itself:1 write:1 mass:12 procedure:1 time:16 d33:1 resolution:5 having:2 restored:1 |
0704.1999.txt |@word sergei:1 extrapolated:1 similarity:2 minihalo:1 results:1 rvir:1 per:1 go:1 gk:2 issues:1 ρss:3 content:1 fronts:1 paris:1 critical:2 under:1 inwards:4 include:1 lake:1 presently:1 very:4 ostriker:2 wave:1 witten:1 figs:1 vast:1 t8:1 turns:1 dig:1 t2:1 solution:1 leave:1 small:7 mo:1 natarajan:2 smaller:2 ten:1 lightest:1 direct:1 goldreich:4 approximation:1 rate:2 enhancement:3 further:2 geophysical:1 gunn:2 neutralino:5 gavazzi:3 deeply:1 section:3 thickness:2 consistently:1 version:3 turnaround:2 template:1 falling:1 increasing:1 boost:7 shandarin:7 body:1 full:1 degree:1 respectively:1 component:1 here:3 smearing:1 clumpiness:1 represented:1 obtained:3 search:1 study:3 studied:1 later:2 astrophysique:1 merger:3 amount:1 products:1 poisson:1 proportionality:1 studies:1 plotted:2 formulated:1 useful:1 scales:2 apr:1 annihilations:1 marked:3 outcomes:1 scaled:1 visible:1 1st:1 apply:1 total:8 detecting:1 predicted:1 plot:2 undergone:2 would:8 remains:3 contains:1 france:1 almost:1 sitter:1 survive:1 until:4 today:1 more:2 jungman:2 formally:2 clearly:1 becomes:1 emission:1 disruption:2 glast:1 particular:1 discreteness:1 arago:1 presumed:1 high:2 keeping:1 erratum:1 equation:1 averaged:1 mi:2 remain:1 minimum:1 values:3 axion:1 evolved:1 universe:4 believed:1 thicknesses:2 vary:1 history:1 nearest:1 wang:1 give:1 neglected:1 involve:1 assumptions:1 sense:1 paradigm:1 rays:2 divided:1 regions:5 far:2 hot:1 parameter:1 profile:19 product:2 d74:1 galactic:1 substructure:3 may:1 after:2 singularities:4 applications:1 value:3 coming:1 law:3 grow:3 λ2k:1 substructures:2 third:1 ss:2 lines:1 correspond:1 negligible:2 gamma:3 decreasing:2 halos:1 integrand:2 counted:1 complementary:1 typical:7 over:2 distinctly:1 mainly:1 zel:2 presence:1 overdensity:2 experiments:1 through:2 motions:1 during:1 existence:1 cold:2 suffer:1 its:4 galaxy:2 style:1 outer:7 thank:1 fit:3 ln:1 fix:1 solving:1 varies:1 isolation:1 late:1 detected:2 fig:13 might:1 non:4 good:2 greater:1 thereby:1 ya:1 integral:2 detectable:2 break:1 framework:1 cutting:1 effects:2 they:8 half:1 oxford:2 rotation:2 now:6 discuss:1 halo:16 february:2 explains:1 university:2 micro:1 l5:1 stopped:1 found:1 traces:1 acknowledges:1 established:1 differential:7 successively:1 significantly:2 accelerator:1 populated:1 series:2 used:1 fraction:3 expect:4 caustic:10 substantially:1 our:6 eq:2 event:1 out:4 large:1 shown:12 acknowledgment:1 3rh:1 since:1 rev:4 forty:1 particles:6 re:1 dominated:2 flattening:1 neutralinos:2 dominate:2 red:4 shows:3 working:1 theory:1 galaxies:3 free:2 perturbation:1 formation:3 dynamics:1 estimate:1 inevitable:1 gott:2 interaction:1 rule:1 could:7 similarly:2 frenk:2 times:3 motion:1 turn:2 length:1 massive:1 signature:2 hence:3 quadratically:1 diminishes:1 onto:1 first:10 major:7 there:1 symmetry:1 number:3 reaches:1 restrict:1 done:1 neglects:1 another:1 reached:1 fluxes:2 angular:1 size:2 given:11 boulevard:1 srednicki:2 introduction:1 unknown:1 system:1 least:2 indicate:1 accretion:13 draft:2 observations:1 1e:13 white:2 structures:2 exponents:1 gives:1 shell:2 collapse:2 presentday:1 explanation:2 continuous:1 minihaloes:11 part:2 cita:1 spacings:1 peculiar:1 peaked:1 distance:1 tta:2 double:1 zero:2 aims:1 iap:1 annihilation:16 matter:23 kth:1 amplitude:2 were:1 exp:1 prospect:1 ignores:1 separations:1 unchanged:1 koushiappas:2 mind:1 spectrum:3 curves:2 summing:1 discussions:1 elaboration:1 headings:1 concentration:1 their:7 viewed:1 ray:1 self:25 gravity:2 griest:2 schematically:1 techniques:1 play:1 towards:2 centre:7 caustics:47 neutrinos:1 falls:1 most:3 significant:2 quantitative:1 latex:1 alard:2 observation:1 considered:1 year:1 clear:1 atypical:2 detectors:1 typeset:1 ks:1 points:1 principle:2 clean:1 velocity:14 physics:1 fact:1 precise:1 arnol:3 currently:1 rta:7 show:3 bertone:2 detection:4 colombi:2 solutions:1 earth:1 fine:3 find:1 slow:6 ratio:1 parameters:1 sphericity:1 explain:1 ox1:1 than:2 analytic:2 only:7 black:2 factor:3 local:1 achieve:1 do:1 accreting:1 kamionkowski:2 de:2 fluid:2 next:2 despite:1 hooper:2 silk:4 dr:1 comply:1 secondary:3 produced:1 evolution:6 spikes:2 evident:1 fields:1 arxiv:1 yield:2 method:1 navarro:2 dovich:2 common:1 contain:3 including:3 mergers:5 view:1 coefficient:1 requirement:1 set:1 computed:1 adopt:1 achieved:1 physically:1 up:1 observed:2 depends:1 radius:10 result:1 enhanced:2 violet:1 accelerators:1 recently:1 contour:1 best:1 subject:1 surfaces:1 detect:1 interacting:1 lux:1 pattern:3 away:1 nature:2 diverge:1 outside:1 smallest:3 various:3 jth:1 example:2 probably:1 approach:1 publishers:1 comparable:1 terms:2 missing:1 however:10 vanishing:1 rapid:1 fluctuations:4 virial:3 both:3 many:3 region:2 tkachev:1 merging:1 streams:1 variance:1 contribution:4 whole:2 experimental:1 otherwise:1 among:1 fillmore:4 cm:3 point:1 asymptotically:1 jeans:1 corresponds:3 2nd:1 dimensional:2 quinn:1 table:1 considering:1 described:1 second:2 three:1 been:6 pc:8 increase:1 slowly:1 fluctuation:1 expected:5 ph:3 lett:3 arises:1 supersymmetric:1 sufficient:1 gas:1 requires:1 angles:1 evidence:2 case:1 exponential:1 solid:1 dasheddotted:1 twenty:3 profiles:3 lesser:1 while:1 γrays:1 larger:1 order:1 simulations:7 thus:2 them:1 surface:1 limit:1 conserve:1 grown:4 different:1 decoupling:1 develop:1 generic:1 cumulative:7 radiation:1 cross:1 any:1 highlighted:1 unity:1 underestimate:1 widely:1 kuhlen:1 dimensionless:2 finite:2 grows:1 evolve:1 extended:2 peaks:1 see:6 complemented:1 boosted:2 numerical:7 effect:2 hand:1 diemand:5 infinite:1 robust:1 invariance:1 weakly:1 off:5 center:3 nevertheless:1 expression:3 modeled:1 well:2 magnified:1 academic:1 sets:1 position:1 model:20 nearby:1 soviet:1 spherical:3 less:2 predicts:1 λk:10 axions:1 alternative:1 yet:3 cut:4 preprint:1 kluwer:1 density:36 photons:1 had:1 goodman:1 selfsimilar:4 inner:1 wimps:1 momentum:1 emphasis:1 resolved:2 rescaled:1 around:3 evaluate:2 ipser:2 dark:23 increases:1 background:5 press:1 using:9 sikivie:4 bis:1 prominent:1 apj:7 like:1 particle:4 sizes:1 should:2 signal:3 adiabatic:1 consensus:1 flux:26 keble:1 become:1 works:1 because:3 often:1 tidal:1 2ξk:1 streaming:1 growth:3 evaluated:6 mohayaee:7 proper:1 indirect:1 infall:4 ignore:1 concentric:1 scale:5 describing:1 dimensions:1 realistic:1 shall:6 microwave:1 does:1 provides:3 assuming:1 demonstrated:1 core:3 power:5 rep:2 problems:1 use:4 expansion:1 although:2 drawn:1 emulateapj:1 properties:1 noisy:1 governato:1 about:14 central:3 carried:2 smear:1 discussed:1 distinct:4 bertschinger:7 haloes:30 stadel:2 efforts:1 consequently:1 road:1 spiky:1 redshift:1 into:2 within:1 numerically:4 bound:1 due:10 appropriate:2 lensing:2 references:1 determine:1 einstein:1 4πr2:1 guideline:1 methods:1 institut:1 collisionless:1 shells:3 support:1 initial:4 approximate:6 wimp:1 dispersion:13 joseph:1 low:1 stars:1 astrophysics:1 was:1 function:1 considerably:2 underestimated:1 complete:1 form:3 but:3 astro:3 contradictory:1 survived:2 mnras:2 line:6 fort:2 volume:1 made:1 gravitating:1 embedded:1 characteristic:3 gravitational:2 smooth:8 maximum:3 astrophysical:1 simplifying:1 demonstrate:1 similar:14 display:1 arclets:1 diverges:3 associated:1 moore:3 abstract:1 contribute:1 general:2 dξ:1 dashed:3 exist:1 dλ:1 laboratory:1 work:2 physical:1 again:2 dotted:3 no:5 index:1 when:2 detail:1 reality:1 application:1 other:5 role:1 department:1 mathematics:1 percents:2 conclusion:2 peebles:2 energetic:1 models:1 sabbatical:1 kansas:1 describe:2 includes:1 ξi:1 ξj:1 important:1 astronomy:1 searches:1 assume:3 resolution:3 age:1 lanl:1 together:1 inset:2 mass:19 fitted:1 time:4 cores:3 expands:1 original:1 once:2 |
0704.2000.txt |@word baringer:1 abazov:8 villeurbanne:1 gr:2 qian:1 recorded:1 people:1 results:3 produce:1 fapesp:1 selection:3 consists:1 dominguez:1 research:3 contributions:3 layers:1 grenier:1 simon:1 overlapping:1 paris:3 tt:4 lammers:1 gerber:1 charge:1 program:6 institutions:1 petersburg:2 visitor:5 alberta:2 maryland:2 te:1 skubic:1 brown:2 naimuddin:1 toleading:1 zhang:1 than:3 rise:1 dell:1 wigner:1 unchen:2 electron:6 sonnenschein:1 sensitivity:1 breit:1 resonant:1 lpnhe:1 difference:1 loglikelihood:1 strang:1 categories:1 trigger:6 northwestern:1 summary:1 kinematic:1 rosatom:1 greenlee:1 beam:2 level:5 louis:2 direc:1 maravin:1 guo:2 temple:1 large:3 cooke:1 burke:1 grannis:1 aachen:2 gauge:2 mangano:1 blekman:1 des:1 zh:9 vasilyev:1 haas:1 consistent:5 fit:1 mee:1 direct:1 millet:1 radboud:1 ellis:1 rate:2 fiber:1 designs:1 quebec:1 zz:4 pass:1 dudko:1 harder:1 cft:2 estimated:1 ohmer:1 theory:1 uvarov:2 sud:1 calorimeters:1 hansson:1 giving:1 cihangir:1 section:7 piper:1 http:1 current:1 experiment:2 bernhard:1 nlo:3 reconstruction:3 fractional:1 beuselinck:1 consisting:2 counters:1 leeuwen:1 edited:1 lepton:4 lee:1 tags:1 respectively:2 lange:1 rangel:1 ranges:1 vreeswijk:1 tracks:6 china:3 illustration:1 berkeley:2 based:6 drell:2 standard:5 knowledge:1 search:4 over:1 schamberger:1 bos:1 hebbeker:1 council:1 resulting:1 within:6 harrington:1 falls:1 montreal:1 yamada:1 love:1 gov:1 panjab:1 lafex:1 apr:1 zielinski:1 toole:1 vii:1 collaborating:1 layer:1 cnsf:1 gluon:2 nijmegen:2 belanger:1 1st:1 parton:5 resolutions:2 lima:1 bound:1 silva:1 abolins:1 sopczak:1 podesta:1 probabilities:2 contains:1 examined:1 hensel:1 strauss:1 cho:1 dst:1 few:1 sample:5 wood:1 showering:1 butler:1 schwartzman:1 id:5 tag:1 theoretical:1 preserved:1 fractions:1 preparation:2 mercadante:1 kharchilava:1 hynek:1 india:4 kothari:1 corrected:2 pairs:1 casey:1 hauser:1 varying:2 calorimeter:10 haefner:1 given:4 iii:3 dfg:1 must:8 kumar:1 rice:1 piccinini:1 cluster:4 cas:1 science:1 der:1 diehl:1 mh:8 lellouch:1 zhao:1 nebraska:2 couderc:1 den:1 burnett:1 institute:9 cone:3 control:4 rodrigues:1 flavor:5 bmbf:1 wang:2 final:1 discussed:1 arise:4 schellman:1 smirnov:1 kasper:2 high:4 toroids:2 preshower:1 numbers:2 likelihoods:2 past:1 dekalb:1 tan:1 validated:1 robinson:1 quark:2 ratio:5 swedish:1 cteq6m:1 strom:1 end:1 decaying:1 beale:1 santoro:1 hadley:1 jabeen:1 regions:1 located:1 run:1 instrum:5 ent:1 buenos:2 frequentist:1 hohlfeld:1 plus:1 parameter:1 priori:1 massive:1 lam:1 product:2 kinematics:1 merritt:1 fu:1 mendes:1 notre:2 ostrand:1 after:2 cwiok:1 containing:3 pasteur:2 reflect:1 corrections:2 united:4 pattern:1 rubinov:1 requirements:4 choice:1 bloom:1 mal:1 mao:1 bogot:1 abe:2 andez:1 gollub:1 johnson:2 martins:1 light:3 approximation:1 spectra:2 correspond:1 st:1 hypotheses:1 omez:1 davies:1 jain:1 paulista:1 software:1 scintillation:1 order:4 sd:1 invariance:2 ito:1 tagged:5 least:4 tallahassee:1 fresno:1 electromagnetic:2 haute:1 fraser:1 estimates:1 outer:1 produced:3 westgrid:1 pascal:1 london:1 statistical:1 reconstruct:1 differs:1 eno:1 particules:1 buchholz:1 pumplin:1 sciences:1 ement:2 probability:9 gershtein:1 la:2 ln:1 masses:3 brook:2 boson:23 li:3 window:7 hobbs:1 humboldt:1 chevallier:1 charlottesville:1 bin:2 clusters:2 argentina:2 sznajder:1 decades:1 mulders:1 weber:2 cls:1 perrin:1 dae:1 prosper:1 good:1 iowa:2 adjacent:1 cea:2 janeiro:3 potter:1 kaushik:1 cover:1 cosmologie:1 evdokimov:2 polosa:1 schwienhorst:1 das:1 front:2 souza:1 hildreth:1 trefzger:1 yu:2 hall:2 association:3 matched:1 zeitnitz:1 netherlands:3 double:1 purdue:1 angle:2 university:61 accompanying:1 backgrounds:12 leading:4 in2p3:8 chandra:1 bonn:2 universite:1 irreducible:1 x10:1 accommodated:1 ferbel:1 flavored:1 classifier:1 mean:1 heavy:1 el:1 ηdet:4 maciel:1 neil:1 colombia:2 accelerator:1 ee:12 fisk:1 energy:19 haley:1 gaussian:3 ec:2 carvalho:1 decays:2 intrinsic:2 ex:4 protopopescu:1 moretti:1 laboratory:4 differ:2 ep:1 es:1 seoul:1 royon:1 magnet:1 shown:9 baldin:1 fnal:1 uppsala:2 rwth:1 oklahoma:5 smt:3 lagrangian:1 mccarthy:1 valdez:1 collisions:1 benitez:1 ubacyt:1 weighted:1 erateur:1 gutierrez:2 offline:2 size:1 integrated:1 jonckheere:1 next:3 naumann:1 abbott:1 arizona:2 quito:2 housed:1 tully:1 multihadron:1 kaur:1 houston:1 ısica:1 bassler:1 pub:1 alexeev:1 acharya:1 klima:1 carried:1 california:6 york:9 enhance:1 van:4 dubna:1 qk:1 nserc:1 l3:1 demarteau:1 watts:1 interaction:1 bellido:1 strasbourg:2 barberis:1 anchez:1 finland:1 florida:2 british:1 dijet:14 silicon:1 plane:2 dublin:2 parashar:1 universidad:3 freiburg:2 hadrons:2 first:2 major:1 there:1 lyons:1 physik:3 evans:1 upper:6 afer:1 scintillator:1 second:1 hagopian:1 rani:1 primary:2 jesus:1 channels:3 bhat:1 langston:2 done:1 approximately:2 dong:2 text:1 sungkyunkwan:1 imperial:1 quality:2 varnes:1 computed:4 brock:1 city:2 otero:1 long:1 smaller:4 xie:1 service:1 desai:1 arlington:1 cfi:1 tata:1 system:5 hauptman:1 plastic:1 shchukin:1 momenta:1 fasi:1 yip:1 passed:1 white:1 southern:1 jarvis:1 ecuador:1 gives:1 editerran:1 hypothetical:2 relationship:1 behind:1 centered:1 academy:1 cutts:1 exactly:1 park:3 blaise:1 transverse:5 forward:1 wenger:1 calvet:1 because:6 retained:1 number:2 solenoidal:1 below:3 greenwood:1 toronto:1 hays:1 liquid:1 msmt:1 princeton:2 bertram:1 fundamental:1 cteq5l:1 higgs:25 royal:1 modified:1 comparing:1 shower:1 em:4 sweden:4 determined:7 str:1 bauer:1 multijet:2 tion:1 unam:1 derived:4 russia:6 result:1 exhibit:1 fig:5 comput:1 san:1 calumet:1 boston:3 ann:1 mundim:1 spectrum:1 dugad:1 roughly:2 colciencias:1 width:1 variable:1 analysis:4 stolin:1 seen:1 dapnia:1 wilson:1 rochester:2 uncertainty:3 dallas:1 efficient:1 lin:1 ruston:1 simak:1 snow:2 mechanism:1 liu:2 fitting:1 tev:1 switzerland:2 detector:6 strengths:1 lipton:1 subatomique:1 channel:4 sfi:1 towers:2 karmanov:1 cnrs:8 excess:1 multiple:1 mcgill:1 alton:1 track:2 wimpenny:1 collaboration:13 hammond:1 bounds:1 centro:1 convoluting:1 eaire:1 optimized:1 germany:7 aires:2 kau:1 comparisons:1 pair:4 coil:1 wicke:1 hu:1 measured:4 model:4 cc:1 appear:2 sumowidagdo:1 branching:1 cdf:4 heintz:1 introduced:2 evtgen:1 chicago:3 detectors:2 argon:1 doe:1 curie:1 pseudorapidity:1 part:1 verdier:1 comprise:1 nuclear:2 duflot:1 brookhaven:1 physics:12 sum:4 repeatedly:1 precise:1 mainz:2 selected:2 pope:1 voutilainen:1 lewis:1 charles:2 tagging:1 nagy:1 relatively:2 misidentifying:1 purity:1 manchester:2 ermolov:1 range:3 melnitchouk:1 data:19 abachi:1 d0:13 impact:1 capes:1 sj:1 provided:1 kunori:1 ferrand:1 northern:1 mumbai:1 representing:1 gallas:1 less:1 folded:1 outside:1 lansing:1 hypothesized:1 only:3 wayne:1 generators:1 convoluted:1 rich:1 alpgen:1 varelas:1 various:1 fuess:1 searched:1 edmonton:1 do:4 lobo:1 acceptance:1 normalizations:1 gev:23 sengupta:1 kehoe:1 michigan:4 de:22 consistency:2 da:2 workshop:1 joint:1 bean:1 simulated:11 illingworth:1 new:9 report:1 hooper:1 hypothesis:2 vertexing:1 event:7 gel:1 choudhary:1 processes:6 wuppertal:2 w5013:1 covering:2 luminosity:2 arxiv:1 staffs:1 yield:4 method:2 garcia:2 severini:1 including:2 predicted:6 isolation:2 bellantoni:1 through:3 jakobs:1 fixed:1 microstrip:1 etotal:2 kalinin:1 satisfy:2 requirement:2 set:2 ipnl:1 aleph:1 multiplied:1 demina:1 correlations:2 bhatnagar:1 up:1 physikalisches:3 opposite:1 college:4 submitted:2 conicet:1 recently:1 observed:12 vint:1 hern:1 brazil:4 project:1 lyon:4 satisfying:2 extend:1 arov:1 geant:1 define:1 landsberg:1 delphi:1 jaffr:1 yet:1 state:10 identification:5 between:7 prado:1 champagne:1 approach:1 sections:5 korea:5 barreto:1 zbb:1 relative:4 opening:1 cinvestav:1 alexander:1 hefei:1 efficiency:11 maximilians:1 motta:1 dø:1 cppm:1 bose:1 ames:1 improve:1 both:4 candidate:8 limits:7 reported:3 ranjan:1 opal:1 upton:1 nikhef:3 askew:1 blazey:2 april:1 arbor:1 dated:1 oshima:1 hirosky:1 contribution:1 hedin:1 lateral:1 experimental:3 con:1 among:3 kirsch:1 jj:3 cm:1 cl:2 urich:4 baden:1 totals:1 northeastern:1 steele:1 batavia:1 proton:1 chakrabarti:1 jets:21 pol:1 non:4 invariant:5 quinn:1 variety:1 cr:1 neutrino:1 throughout:1 iashvili:1 linnemann:1 ferapontov:1 pp:11 tevatron:2 collider:3 peak:1 pt:7 source:1 addition:4 alves:1 inclusive:2 lehner:1 three:1 been:1 pb:20 yasuda:1 kahn:1 yan:3 combined:1 ireland:2 collected:1 muons:7 ph:4 louisiana:2 correction:3 dame:2 alkhazov:1 sanders:1 direction:3 dilepton:1 corresponding:1 gay:1 grivaz:1 blessing:1 photon:1 instituto:1 shapes:1 determination:2 systematic:3 c2:20 burdin:1 general:1 stillwater:1 those:2 applied:4 imbalance:1 washington:2 pacs:1 triggers:2 neal:1 value:1 borissov:1 wyatt:1 technical:1 zjj:1 texas:4 error:1 orica:1 claes:1 charm:1 region:1 procedure:2 pseudorapidities:2 wobisch:1 would:1 mexico:5 vi:1 von:2 owen:1 ellison:1 fiedler:1 ii:3 rio:3 superconducting:2 ripp:1 properties:1 ısicas:1 each:6 azimuth:1 limit:3 seattle:1 technology:2 tucson:1 different:5 rfbr:1 hong:1 ing:1 combination:1 james:1 distributions:1 thesis:2 gacr:1 radiation:1 cross:11 same:3 paulo:1 read:1 reconstructed:8 gavrilov:1 efficiencies:4 contain:2 twice:1 faperj:1 castilla:1 ludwig:1 events:34 simulation:3 used:7 columbia:2 slightly:1 closest:1 estadual:1 laboratoire:3 island:1 shivpuri:1 levels:1 dielectron:4 kim:2 bartlett:1 geist:1 lebrun:1 estado:1 normalization:1 lower:3 tracking:4 finite:1 center:4 crc:1 considers:1 acknowledge:1 clermont:1 modeled:3 well:1 cruz:1 lawrence:2 heinson:1 without:3 jersey:1 components:2 sets:2 exponentials:1 position:2 methodist:1 arising:8 cern:2 fermilab:6 candidates:1 muon:14 wahl:1 background:37 just:1 eijk:1 increasingly:1 physique:3 buchanan:1 paragraph:1 wagner:1 resolution:6 isolated:5 sources:3 shape:1 via:2 krop:1 using:14 campbell:1 followed:1 moscow:3 brasileiro:1 reduced:1 polar:1 helsinki:2 denisov:2 han:1 oliveira:1 scanlon:1 longitudinal:1 normalized:2 smith:1 evanston:1 carminati:1 lounis:1 narain:1 conacyt:1 lett:7 samples:5 mcfm:2 republic:6 riverside:1 east:1 momentum:6 pparc:1 kingdom:4 collaborations:1 bernardi:1 around:1 rev:9 kirby:1 showing:1 delhi:2 measurement:1 virginia:2 corresponds:4 gris:1 five:1 assis:1 optimizes:1 partridge:1 accepted:3 slattery:1 brooijmans:1 lincoln:2 adams:2 particle:2 should:1 khalatyan:1 popov:1 burnaby:1 cryostats:2 avila:1 brun:1 eem:3 arrays:1 pesquisas:1 yields:2 either:3 martin:1 response:2 lai:1 signal:19 lerma:1 protvino:1 grouped:1 schmitt:1 methods:6 unewald:1 czech:6 maintained:1 library:2 identified:4 added:1 molina:1 evaluated:1 table:6 gregores:1 small:1 nilsen:1 prague:3 matching:1 norman:1 savage:1 padley:1 total:2 cooper:1 icn:1 deposition:2 fachbereich:1 dissertation:3 quarks:4 fox:1 thank:1 per:2 eads:1 providence:1 buehler:1 tracker:2 provides:1 assuming:1 fom:2 particles:1 fortner:1 stockholm:2 mµµ:1 noise:1 kopal:1 bb:8 selecting:1 processing:1 confidence:6 bj:2 ratios:1 found:1 caron:1 described:5 malbouisson:1 weerts:1 universit:15 hadron:1 meyer:2 acc:1 comparison:2 stone:1 central:8 usa:40 juste:1 choi:1 dimuon:3 mendoza:1 mass:27 factors:2 o:4 essential:1 marie:1 andes:1 kooten:1 corpusculaire:1 titov:1 malyshev:1 krf:1 bloch:1 stony:2 pythia:2 youn:1 diboson:1 safronov:1 kappler:1 besan:1 presence:1 burelo:1 into:2 johns:1 ahn:1 elvira:1 nsf:1 edmunds:1 sm:4 neustroev:1 pittau:1 jet:31 garz:1 national:3 lund:2 amsterdam:2 rembold:1 france:10 orsay:1 category:2 significantly:1 uncertainties:7 mississippi:2 ontario:1 hep:4 dielectrons:1 rhode:1 assumed:1 support:1 snyder:1 merkin:1 nucl:5 stark:1 peters:2 los:1 anderson:1 decay:6 bosons:5 low:3 fraction:1 writeup:1 letter:2 bloomington:1 iphc:1 jonsson:1 function:2 banerjee:2 harel:1 form:1 energies:1 oldner:1 positioned:1 tm:1 differences:4 but:2 ford:1 expected:13 berg:1 alsace:1 schaile:1 indiana:4 cnpq:1 highest:1 beri:1 production:13 commun:1 fragmentation:1 zhu:1 embedded:1 bross:1 villeneuve:1 interactions:1 variations:2 ruchti:1 ur:1 duggan:1 placed:1 kohli:1 converted:1 kuhl:1 uk:1 malik:1 distribution:12 marseille:1 similar:1 called:2 misidentification:2 distance:1 detailed:1 perea:1 taylor:1 associated:3 moore:1 chandigarh:1 defined:3 lancaster:2 describe:1 chan:2 ao:1 saclay:1 single:2 liverpool:2 predictions:3 ay:1 lifetime:1 alverson:1 eliot:1 universidade:2 yoo:1 ni:1 functions:5 compared:1 reucroft:1 outof:1 no:1 misidentified:2 whereas:1 trajectories:1 uranium:1 proceedings:1 illinois:7 chakraborty:1 other:1 jong:2 andrieu:1 tech:1 leveque:1 out:1 manhattan:1 electrons:6 canada:5 junk:1 francisco:1 lineshape:1 corcoran:1 zhou:1 separate:1 suwon:1 grenoble:2 kansas:4 vertex:2 acosta:1 osta:1 pogorelov:1 mondal:1 massachusetts:2 coverage:1 autermann:1 fisher:1 brandt:1 searches:3 instrumental:9 foundation:1 novaes:1 coupling:1 algorithm:3 buffalo:1 required:7 cteq6l:1 parsons:1 sawyer:1 portion:1 hossain:1 kosef:1 institut:5 dyer:1 bolton:1 having:3 fermi:1 |
0704.2001.txt |@word represent:1 concept:1 gr:1 remarkable:2 lagrangian:1 magnetic:1 global:1 results:3 existing:2 four:5 scalar:6 proposition:13 follow:1 expressions:7 denotes:2 consider:3 compact:2 inverse:3 depend:2 hµσ:8 concerned:1 tu:1 finally:5 tm:1 those:2 under:1 anisotropic:1 case:6 rαν:6 springer:1 geometrical:1 corollary:7 every:1 hµν:2 condition:2 leads:1 riemann:1 presented:1 list:1 nostrand:1 pullback:4 hσσ:2 vector:11 indices:8 anal:1 noted:6 work:4 ten:1 dealing:5 direct:2 second:18 further:2 canonical:22 index:1 what:1 plays:1 appear:2 xσ:2 section:11 contracted:5 brief:1 expressed:16 cyclic:1 above:6 new:4 method:1 satisfy:1 respectively:5 here:3 explore:1 objects:16 tangent:3 groups:1 xν:2 concluding:2 resemblance:1 november:1 table:18 appears:1 contraction:1 obtained:10 mikhail:4 remark:2 singled:1 study:2 studied:1 allows:1 recently:1 procedure:1 permutation:1 complicated:1 proof:9 makes:2 emerge:2 useful:3 projection:1 classification:1 extra:2 egypt:1 texts:1 summation:2 apply:1 total:1 univ:3 linearly:1 derivatives:8 use:3 wealth:1 prove:5 covariant:14 contains:1 sµ:9 next:2 linear:19 noting:1 call:2 opposed:3 robertson:1 type:1 more:6 introducing:1 becomes:1 spoils:1 curvature:37 foundations:1 cases:1 hold:2 abundance:1 ii:1 account:6 science:2 fµν:2 det:1 theories:3 nine:2 concepts:1 following:20 example:1 amrs:1 curves:1 give:1 attribute:1 organized:1 minimum:1 degenerate:1 lacks:1 absolute:6 motion:1 rie:1 end:5 rather:1 means:1 positional:2 necessary:1 sid:2 instead:3 simplicity:1 de:1 blocks:1 intended:1 may:2 cνµ:12 derived:5 applications:10 mesh:3 faculty:2 horizontal:13 law:2 revealed:1 types:1 natural:8 chern:1 cosmology:1 greek:1 gµα:2 so:2 fundamental:16 sc:1 definitions:1 order:5 gµν:20 operations:1 six:1 interpretation:2 developed:1 symbols:1 held:1 paper:9 london:1 thesis:1 mentioned:3 existence:2 suffer:1 its:7 eun:3 sν:5 directional:2 sα:2 relativity:5 degrees:4 choose:2 derivative:4 defining:2 parallelizable:16 non:15 combination:1 significance:1 introduce:2 framework:1 try:1 they:4 identically:3 nov:1 sixteen:1 developments:1 similarily:1 electro:1 hαα:2 university:3 cuza:1 each:1 2m:1 traces:2 referred:2 xǫ:1 differential:2 cairo:4 eg:3 reduce:1 used:3 contracting:2 owing:1 contorsion:2 our:5 iasi:1 special:3 out:3 stands:2 shown:4 matrix:1 space:49 rep:1 since:4 rev:1 research:1 content:1 similarly:2 geom:1 stud:1 denoted:3 formula:2 math:3 unifying:1 theory:7 galaxies:1 differ:1 free:3 admits:6 advantages:2 beginning:1 definition:7 pairs:1 created:1 geometry:48 omit:1 counterpart:15 turn:1 δij:1 hence:3 facilitate:2 top:1 first:3 romania:1 already:1 symmetry:1 sakaguchi:2 number:3 rank:13 hνσ:7 clear:2 done:1 least:3 another:1 carry:1 precisely:1 summarize:1 given:13 necessarily:1 deceptive:1 cµα:1 their:7 introduction:3 cµν:34 system:2 relations:2 needed:2 calculations:1 convention:1 typographical:1 recent:1 structures:2 gives:4 rαµ:2 spiral:1 exactly:2 authors:1 than:2 coefficients:2 relative:2 ahmed:2 accordance:1 holds:5 was:3 richer:1 aims:1 distinguished:2 ann:1 argument:4 generalization:5 contortion:3 manner:1 flatness:1 seem:1 any:2 relatively:2 built:1 zero:5 depending:1 convenient:1 able:1 gravity:3 thorough:1 potential:2 generalized:22 analogy:5 coincide:1 play:1 regard:1 trace:5 shall:1 chart:3 most:4 connected:1 formulae:5 pair:2 bǫ:11 class:1 commutation:4 constructed:2 especially:2 calculated:4 later:1 curvatures:3 shirafuji:1 barred:1 velocity:3 sum:1 miron:4 laws:1 nσ:3 lµν:2 spaces:12 relation:1 keywords:1 enjoyed:1 wanas:7 based:1 lemma:1 only:7 explicitly:1 equipped:5 local:3 preliminaries:1 hope:1 do:3 get:2 express:1 made:1 words:4 international:1 pµµ:4 matsumoto:1 fields:7 arxiv:2 summary:4 qc:1 bao:1 nβ:1 view:2 riemannian:23 multiplying:1 ser:1 exists:3 ricci:1 sti:1 connections:15 see:2 triplet:1 result:4 japan:1 close:2 sem:1 forthcoming:2 observed:1 subject:1 said:1 tensor:29 consequence:1 symmetric:37 written:2 between:6 si:1 invariant:1 geometric:19 αo:1 latin:2 terms:16 vertical:14 importance:2 however:4 vanishing:3 key:2 article:1 tensors:97 faced:1 both:5 essentially:2 last:1 many:4 taking:5 according:2 nµ:3 connection:74 present:4 context:14 adapted:1 ease:1 among:1 nection:1 co:1 simple:1 cf:2 dimensional:2 xβ:1 simply:1 bα:2 lagrange:15 wider:2 respect:10 torsion:12 conference:1 kµν:1 basis:2 addition:2 equations:1 skew:10 three:9 been:2 ai:1 bianchi:2 interest:2 basic:2 expected:1 ph:1 define:5 direction:2 corresponding:19 tµν:19 scalars:4 tµα:1 propositions:1 search:1 gap:18 hayashi:1 pαα:5 generalizing:1 recalled:1 tνµ:1 bull:1 reinhold:1 denote:3 manifolds:8 applied:1 unlike:2 bσ:9 sǫ:1 remaining:1 will:11 ain:1 replaced:1 behavior:1 guide:1 characterizing:2 shams:1 vol:1 metric:7 thus:3 them:1 finsler:6 itself:2 vu:3 dual:13 vw:3 coni:1 vanish:6 bν:6 different:9 perform:1 same:4 clearly:1 princeton:1 parts:2 dµν:3 rνµ:1 proved:1 defines:1 aαµ:5 independent:2 investigated:2 dµσ:2 radically:1 counterparts:2 sσσ:4 identity:1 electromagnetism:2 lower:1 task:1 kept:1 quantities:2 expression:3 without:1 solve:1 components:5 coordinate:1 position:3 dimension:1 construct:2 manifold:11 resp:2 vαα:1 obtain:5 bµ:18 fact:3 differentiation:1 λi:11 rotation:1 tables:4 now:7 clark:1 candidate:1 application:1 mµν:3 rµσ:19 regarded:1 character:1 reasons:1 theorem:14 guarantees:1 transformation:2 motivating:1 depends:1 possible:3 admitting:3 rµν:3 press:1 world:1 ams:1 unique:5 appearing:2 like:3 success:1 follows:1 admitted:1 collect:1 otsu:1 mathematical:1 twelve:2 often:1 deal:1 shen:1 some:9 back:2 supplementary:1 choosing:1 moreover:2 describing:2 gα:4 parallelization:2 though:2 comments:1 behave:1 decomposition:1 proc:1 refer:3 rνσ:1 kyoto:1 step:1 explicitely:1 cα:1 properties:4 comparison:7 cannonical:1 carried:1 freedom:4 metrical:6 dependence:3 o:19 nonvanishing:1 distinct:1 extensions:1 consequently:3 soc:1 contractions:5 christoffel:1 previously:1 into:5 within:1 due:3 remarks:3 appropriate:1 references:1 einstein:1 capable:1 van:1 classical:29 there:5 transform:6 start:1 accordingly:1 handbook:1 way:2 xµ:5 sections:1 energy:1 therefore:3 form:12 phenomena:3 sequel:2 hv:4 hw:5 but:5 hu:3 pµν:3 line:1 true:1 youssef:2 raising:1 pull:2 vσσ:1 mat:2 gravitational:1 us:2 below:3 astrophysical:1 problem:2 similar:13 called:3 timisoara:1 nµν:2 associated:2 lowering:1 defined:16 abstract:1 general:5 ap:49 diverse:1 rule:1 identities:8 physical:17 again:1 functions:5 compared:2 differentiable:1 no:8 whereas:3 when:2 vanishes:1 graduate:1 field:6 other:11 role:2 papers:1 department:2 mathematics:2 metricity:1 calculating:2 expressible:1 symbol:3 problems:2 bundle:7 meaning:3 astronomy:1 sides:1 structure:6 building:1 implies:1 assume:1 together:3 notion:1 parallelism:6 n2:1 n3:1 having:2 |
0704.2002.txt |@word secondly:1 similarity:1 lagrangian:1 magnetic:136 dynamic:1 four:1 consists:1 sci:1 assembled:2 sch:1 whose:4 const:3 unanswered:1 presents:1 under:2 worth:2 summarizes:1 rise:5 summarized:1 solution:1 convenience:1 shows:5 force:4 consistent:2 direct:4 approximation:4 likely:3 correlator:1 qualitatively:5 estimated:1 established:5 consequent:2 above:16 new:3 increasing:6 coefficient:2 τcorr:4 never:1 here:9 reported:8 represented:1 obtained:15 property:3 study:3 sw7:1 kolokolov:1 fourier:1 changes:3 explained:1 visible:1 total:2 nonhelical:6 unit:2 plot:2 would:9 negative:8 m5:1 m4:1 ossendrijver:2 m1:10 therefore:5 m3:3 m2:4 type:4 tell:4 separated:1 successful:2 brings:1 berlin:1 warm:1 hold:2 circumstances:1 springer:1 work:2 nlin:1 example:3 give:6 cited:2 lites:2 implementations:1 absolute:2 end:2 provide:2 imprecision:1 travel:1 far:6 hot:2 answer:1 replacing:1 earlier:2 confirmed:7 dobler:1 brachet:1 law:2 types:1 attempt:1 effective:3 wins:1 algorithms:1 decreasing:1 order:13 amplifying:1 expects:1 london:5 satisfies:1 before:2 bottleneck:2 fit:2 fix:2 exhibits:1 better:1 compelling:2 harmonics:1 easier:1 overcome:1 maximal:1 eventually:5 them:4 combination:1 urms:6 amenable:1 hb:3 effects:2 they:6 represents:1 childress:3 reasonable:2 each:10 interpolation:1 side:1 mean:59 lifted:1 schemes:1 series:17 substantially:2 laboratory:4 batchelor:2 crucial:1 diffusive:1 re:85 reader:1 rm:159 numerical:26 linear:4 standard:1 ramos:1 proportionality:1 estimate:1 cosmic:1 mazzino:1 punctuated:1 signature:2 already:1 render:1 primary:1 another:5 illustrate:1 top:2 approximately:10 needed:1 rates:7 dwell:1 gilbert:3 genesis:1 predictably:1 astrophysically:1 somewhat:4 injected:2 showed:1 second:1 project:1 matter:1 contrasted:1 solely:1 fashion:1 spectrum:30 seen:2 seem:1 relatively:1 forced:7 latter:4 responsible:5 isolated:1 thorough:1 fitting:1 shall:3 object:1 viscosity:7 nonlinear:5 manifested:1 observation:1 dom:2 calculated:1 metal:5 points:4 sum:1 fauve:9 random:6 dependences:1 attempts:2 stepping:1 d2:1 d3:1 d1:2 resemblance:2 proposed:3 situations:1 explain:1 folded:1 judged:1 constant:7 do:5 zeldovich:2 fluid:20 despite:2 report:5 reconstruct:1 nordlund:3 runs:50 fields:5 acknowledgments:1 discs:1 sulem:1 reference:5 kolmogorov:2 zones:1 depends:2 result:5 fail:1 best:1 subject:1 exponent:1 away:2 unable:2 approach:1 reiterate:2 terms:4 nature:13 confusion:3 weak:9 however:8 suggested:1 essentially:1 falkovich:1 against:1 fluctuation:64 argue:1 appeared:1 character:2 shukurov:5 simplification:1 three:3 been:14 much:4 basic:1 expected:3 near:2 suppose:1 applies:1 balance:1 played:1 ii:1 containing:2 apparently:1 make:7 several:1 grows:1 independent:6 trajectories:2 hand:1 kim:1 vainshtein:5 normalization:1 prescribed:1 whereby:1 scenario:1 simulated:2 quantitative:5 left:2 just:2 newton:1 thanks:1 jacobson:1 yet:6 previous:1 enters:1 bourne:2 had:2 weiss:2 belongs:2 plasma:4 posed:3 possible:7 possibly:1 judge:1 advanced:1 performing:1 specific:1 ha1:1 ha2:1 ha3:1 ha4:1 right:2 successfully:1 somehow:1 bottom:2 tuominen:2 unavoidable:1 asking:1 bold:1 illustration:1 disappeared:1 properties:8 stokes:1 o:1 plus:2 slightly:1 considerations:1 soc:2 statements:1 presence:7 float:1 lies:4 δul:4 raises:1 laval:3 unambiguous:1 comparing:1 support:2 kleeorin:12 anderson:2 way:5 was:19 m0:1 multiscale:4 medium:2 form:9 differences:1 conclusively:1 ussler:1 idealized:1 solar:3 sustained:3 removed:1 true:3 inside:1 maximum:3 until:2 stages:1 b1:2 abstract:1 proven:1 evidence:7 exist:3 simulations:32 check:4 physical:8 dotted:2 locality:1 na:2 generally:3 setting:2 role:2 papers:1 picture:4 surprise:1 dissipation:1 longer:1 assume:1 governed:1 time:26 slope:15 leads:2 computation:1 widrow:2 transiting:1 certainly:3 inverse:1 depend:4 leicester:1 finally:3 analogous:1 presumed:1 lre:1 broadly:2 alexakis:3 lrm:1 choice:3 exact:1 kazantsev:7 level:3 did:1 turns:1 leave:2 settle:1 round:1 squared:1 findings:1 galanti:2 trend:2 measurable:1 sign:1 alfv:1 spectral:10 appear:2 favour:1 uniform:3 current:3 falling:1 hb1:1 hb3:2 hb2:1 understanding:4 magnetism:1 dissipated:1 appears:8 change:4 box:7 studied:1 wherever:1 usually:3 hospitality:1 studies:2 plotted:3 mimicked:1 spatially:7 problematic:1 merely:1 marked:1 1st:1 celani:2 prove:3 positive:7 predictions:3 theoretical:8 afford:1 acceptable:1 apparent:1 validity:1 visual:1 everywhere:1 cases:8 pouquet:11 chertkov:2 socas:2 inertial:24 flu:1 values:15 kendrick:1 growing:13 making:1 claim:4 shchukina:1 figure:44 predict:3 confused:1 agent:1 allowed:1 occur:1 regularization:1 νn:4 discussion:5 parameter:5 may:8 max:2 applications:1 produce:1 data:2 grow:1 natural:3 dynamical:3 liquid:7 parallelisation:1 6th:2 explicit:1 so:6 definitions:3 typical:3 indeed:8 pointed:1 stability:15 course:1 experiments:11 motions:17 argued:2 almeida:1 still:4 tendency:3 observational:1 group:2 thank:1 how:9 interesting:3 nontrivial:1 decreases:6 pervade:1 mail:1 main:4 closure:2 scaling:8 now:4 discuss:3 term:5 galloway:2 establishing:1 possibilities:1 realistic:1 entirely:1 individually:1 square:4 significantly:1 ek:1 sov:4 gaussian:1 snapshots:4 inhomogeneous:2 astrophysical:2 emerges:2 shown:9 space:8 furthermore:1 interference:1 boldyrev:4 increase:5 investigation:2 squares:1 hydrodynamic:2 after:1 theory:7 state:5 possibility:6 quite:3 hc2:1 hc3:3 hc1:1 hc4:1 hc5:3 transition:6 motion:7 turn:1 nonuniversality:1 first:10 ignored:1 papaloizou:1 fast:1 impossible:1 size:4 given:8 checked:2 returns:1 convention:1 white:6 speaking:1 gives:3 mostly:2 undoubtedly:1 than:20 unfortunately:1 barenghi:1 interpolated:1 future:1 were:9 geometrically:1 outcome:1 remained:1 dynamically:5 argument:4 νeff:2 any:9 sat:7 decorrelated:1 note:9 sciences:1 take:1 converged:2 green:3 coincide:1 l115:1 multiple:1 correlation:6 analytically:2 magnetohydrodynamics:1 especially:1 average:3 steady:1 drive:1 precise:3 show:7 threshold:11 slow:1 ratio:1 enough:5 protostellar:1 only:11 explicitly:1 over:4 vergassola:1 get:1 expectation:1 dyn:2 cannot:13 lighter:1 glatzmaier:3 rms:1 concert:1 physically:1 relative:1 college:2 ηk0:1 subsequent:1 outside:1 between:16 notice:1 originated:1 concentrate:1 jetp:3 concentrated:1 reaction:2 mond:1 resides:1 many:1 region:4 according:3 stretched:2 ordered:1 considers:1 sensible:1 intracluster:1 hd3:2 hd1:1 capable:1 stretch:1 ucla:5 combined:1 fig:3 etr:7 molchanov:1 external:1 irrelevant:1 former:1 those:2 case:23 hughes:1 regimes:1 shear:1 promising:1 situation:4 thess:2 dynamos:4 couples:1 middle:1 different:14 verified:1 etc:1 inquire:1 same:19 selfconsistent:1 regime:10 meaningfully:2 investigated:1 driven:6 changing:1 weakened:1 no:9 hx2:1 hx1:1 without:1 solve:2 model:11 grounds:1 being:1 when:7 valuable:1 seems:4 except:1 lett:12 wilkin:2 real:4 aspects:1 around:4 cf:1 grid:2 environments:1 using:15 ruled:1 velocities:1 either:2 reduced:1 daviaud:5 table:15 trujillo:2 provided:2 yousef:1 fluids:4 critical:4 moderate:1 measuring:1 power:4 equivalent:1 jennings:2 kulsrud:2 refers:1 comparison:6 conducting:4 discussed:7 must:2 stand:1 act:2 tangling:5 cambridge:5 communication:1 ηk:1 mari:3 references:5 determine:6 happening:1 theoretically:1 h03:1 h02:1 h01:1 there:14 h07:2 h05:1 h04:1 los:2 low:53 stars:1 slopes:2 viscous:20 complete:2 mininni:15 stepanov:2 dissipative:1 faster:1 qualitative:4 agree:1 obtains:1 detailed:3 ac:1 taylor:13 certain:1 deep:1 examine:1 together:3 planets:2 corresponding:5 again:3 field:101 valid:3 spatial:2 forcing:8 deviation:1 a1:2 a0:2 a3:3 a2:1 a5:1 peak:5 a6:1 building:1 odds:1 curve:16 cores:1 resolution:4 represent:1 vorticity:1 consider:4 ceases:1 astron:3 follow:1 allowances:1 synthetic:1 glimpse:1 fellowship:2 equivalence:1 nonlocal:4 diffuse:1 tail:1 nore:2 ınguez:2 straightforward:1 very:12 amplifies:1 cerde:2 balancing:1 decide:1 fall:1 difference:5 treating:1 list:1 joined:1 large:25 small:20 programme:1 grateful:1 rate:24 further:3 what:7 abc:2 brackets:1 sun:1 section:33 nonuniversal:1 method:1 contrast:1 revealing:1 unsurprisingly:1 full:1 behaviour:1 amplification:7 strong:3 equations:2 geophys:2 stretching:8 allows:1 amount:1 periodic:1 published:2 action:7 via:4 marginal:2 analyzing:1 aimed:1 establish:1 proceed:1 maron:18 timeaveraged:1 pinton:10 chaotic:2 taken:2 achieving:1 subcritical:4 more:7 flat:1 controlling:1 particular:4 known:6 largescale:1 keeping:1 cluster:1 equation:4 remain:1 examined:1 compare:1 states:1 minimum:2 numbers:33 ponty:16 information:1 rather:8 rogachevskii:10 ubiquitous:1 develop:5 response:1 short:2 resemble:2 spectra:26 generic:1 negligible:1 fundamental:2 turnover:6 fft:2 paper:3 through:1 existence:3 kinetic:9 its:11 sodium:2 energies:6 absence:4 systems:3 convective:2 might:6 tentatively:1 good:1 return:1 framework:1 bigger:1 always:4 presented:3 neccessary:1 found:8 energetically:1 generation:1 energy:52 hard:3 expect:4 operation:1 really:2 dominates:1 since:7 unknown:2 denoted:3 induced:10 issue:1 occurs:1 confidence:1 difficulty:1 ask:3 beginning:1 generate:1 definition:1 retained:1 anchez:1 persists:1 politano:6 exponentially:1 solidly:1 feel:1 number:18 meneguzzi:4 done:6 construct:1 passes:1 introduction:2 leading:1 least:3 assumption:1 calculations:2 exponents:1 recovered:1 shifted:1 incompressible:2 prediction:6 part:8 authors:1 diffusion:6 king:1 kind:2 determines:3 kindly:1 determined:1 motivation:1 outstanding:1 randomly:6 confirms:1 lie:2 zero:3 depending:1 speculative:2 k0:4 pparc:1 analogy:1 unconstrained:1 towards:3 most:8 significant:2 clear:3 sometimes:1 elucidating:1 velocity:24 physics:4 hyper:2 particularly:2 relation:4 astrophys:17 find:2 frisch:2 factor:2 inhester:1 his:1 dominant:2 dependent:1 closely:1 resolve:2 transitional:1 emonet:1 ohmic:1 investigate:1 prescribing:1 filled:1 bars:1 set:4 achieved:2 plausible:2 cattaneo:13 see:25 injecting:1 close:6 kneer:1 currently:3 libraries:1 various:2 probably:2 solanki:2 available:4 recently:2 distinguish:1 both:14 enables:1 connection:2 context:3 cowley:17 finds:2 point:3 simple:1 asymptotically:1 corresponds:1 whatever:1 coincidence:1 dimensional:1 moffatt:10 simply:1 suppressing:1 along:1 described:3 due:4 laplacian:19 strategy:1 ph:2 empty:1 pm:102 else:1 understand:1 plasmas:5 look:1 exponential:1 pacs:1 solid:2 while:17 b02:8 replaced:2 error:1 mordant:2 haugen:6 averaging:2 schekochihin:23 encountered:1 itself:3 ample:1 shorter:1 virtually:1 higher:3 used:6 flows:4 moving:1 robust:1 recent:2 lower:3 older:1 obviously:1 calibrated:1 resistive:21 shape:5 questions:3 0wa:1 useful:1 alternative:1 conclusions:2 source:3 mod:2 solvable:1 remaining:1 stein:2 judgement:1 private:1 lathrop:1 imposed:4 shaped:1 separately:2 flux:1 popular:1 essential:2 mathematical:2 often:1 some:11 back:2 b4:2 b5:2 δbk:1 b0:15 δbl:2 b2:4 b3:3 ourselves:1 scale:80 exceeding:1 per:1 tends:1 prog:1 proc:2 run:19 agreement:3 plots:2 novikov:2 simulation:3 range:27 consequently:2 cutoff:8 computational:1 into:6 helical:1 integral:1 appropriate:1 because:11 primarily:2 proportional:2 uncertainties:2 twodimensional:1 question:5 long:7 moulin:2 sections:2 turbulence:31 line:1 characteristic:6 up:5 us:15 uk:5 fluctuations:19 similar:10 blackett:1 associated:2 defined:4 flow:28 single:1 codes:1 tentative:1 dashed:1 smagorinsky:1 priori:2 department:2 generates:1 calculating:1 favourite:1 generated:4 asensio:1 structure:3 correlated:1 implies:1 confirm:1 depth:1 requires:1 code:13 illustrates:2 results:18 illustrated:1 ruzmaikin:6 concerned:2 include:1 confirmation:2 proctor:5 wave:7 telling:1 entire:2 rigourous:2 discounting:1 enforce:1 smaller:4 compensated:2 prandtl:31 fold:1 imply:2 dynamics:1 index:3 giving:2 access:2 experiment:1 crossed:1 body:3 led:1 degree:1 respectively:1 les:3 others:1 extrema:1 extreme:1 larger:12 contradiction:1 suggests:2 edqnm:1 resulting:1 definitively:2 makes:2 examining:2 scales:10 apr:1 volk:2 resolutions:5 standing:1 use:4 asymptotic:15 usa:2 remains:1 bourgoin:5 few:1 doubt:1 examination:1 themselves:1 historically:1 pencil:3 becomes:5 normalized:8 sharply:2 iii:1 high:3 crosses:1 challenge:1 averaged:2 obvious:1 thin:1 weaker:2 decorrelation:2 process:1 reconstructed:1 lorentz:1 documenting:1 tao:1 reynolds:8 decaying:11 holds:1 roughness:2 regions:1 forest:3 demonstrating:1 realized:2 lines:5 correspond:3 element:1 lη:20 doklady:1 lν:14 unsolved:1 saturated:11 produces:2 insight:1 interpreted:1 saturates:2 including:1 looks:2 elis:7 galaxy:2 outer:21 decay:12 ln:2 laminar:1 clusters:2 eur:1 numerically:10 scaledependent:1 cawthorne:1 university:2 rieutord:2 mcwilliams:17 sufficiently:5 l2:2 luciani:1 l1:1 crossing:1 constraints:1 homogeneous:4 arxiv:1 bueno:2 related:1 decays:1 our:24 out:6 res:3 rep:2 rev:22 induction:43 integrated:1 christensen:2 interactions:2 maintains:1 galaxies:1 initialize:1 interaction:1 determining:1 could:6 times:7 length:1 4th:1 navier:1 reaches:2 l39:1 salient:1 revealed:1 system:6 their:11 intermediate:1 dubrulle:4 final:1 shell:1 explanation:1 exactly:6 simulate:1 manifestation:1 observed:1 submitted:1 roberts:2 quasistatic:10 dynamo:136 exhibit:2 separations:1 curves:8 reassuring:1 discussions:1 unlikely:1 need:2 demonstration:1 clearly:1 angle:2 studying:1 able:2 hyperviscosity:6 mechanism:6 montgomery:5 εl:1 photosphere:1 ncsa:1 who:3 preliminary:1 class:2 astro:2 pseudospectral:3 stronger:1 artificially:1 sokoloff:2 fact:3 emerging:1 parker:2 supported:3 purely:3 eorat:3 rough:1 based:7 2bw:1 should:17 ambiguity:1 employed:2 amplify:2 local:4 thresholds:1 achieve:1 cube:1 handle:1 means:2 flattens:2 bear:1 ones:3 evolution:3 navarro:2 europhys:2 bayliss:2 qd:1 fixed:10 view:2 strengthened:1 computed:2 exists:7 correlations:1 turbulent:50 computer:3 merits:1 enhanced:2 phases:1 exploited:1 imposition:1 written:4 correctly:1 neither:1 frustrated:1 comparable:5 saffman:4 importance:2 interfere:1 reproduces:1 key:2 undetermined:1 equal:2 attributed:2 chosen:2 manifestations:1 figures:1 darker:1 otherwise:3 relevant:1 conclude:3 ca:2 narrower:1 hm1:2 hm2:2 cd:1 sequences:4 respect:1 cw:1 kinematic:5 slowly:1 treat:1 olson:1 define:4 controlled:1 sufficient:2 rincon:1 bulk:2 decreased:2 c3:3 c2:3 c1:5 ott:2 present:6 c4:2 atmospheric:1 contexts:1 value:25 choices:1 will:11 frustrating:1 manually:1 almost:1 damtp:1 thus:9 vs:10 claimed:1 convection:1 capture:1 perhaps:2 cross:2 unity:1 largest:1 units:3 finite:2 difficult:2 reporting:1 effect:6 infinite:1 mech:7 off:2 center:2 well:7 sets:1 firstly:1 position:1 heavily:1 obtain:2 preprint:5 density:1 mathematically:2 diffusivity:1 extends:2 ought:1 resolved:1 saturation:1 fluctuating:4 increased:6 criticality:2 increases:4 five:3 know:2 denser:1 press:1 immediately:1 like:2 mhd:4 become:2 δb:20 therein:2 poor:1 representation:1 sequence:1 growth:30 subramanian:2 trust:1 lead:1 does:7 assuming:2 noise:7 reaching:1 electrically:1 stellar:1 carati:1 although:9 stage:1 cb2:1 about:6 carried:1 cb3:1 microscale:1 universe:1 certainty:1 dependence:6 angeles:2 important:9 coexists:1 insufficient:1 a4:1 equally:1 own:1 previously:2 h0:1 terry:1 interstellar:1 transfer:5 imperial:2 overestimate:1 function:4 hv:1 but:17 volume:2 hm:2 convergence:2 hc:2 ha:2 hd:1 he:1 made:1 places:1 instructive:1 whether:17 smooth:8 below:9 limit:28 demonstrate:3 problem:8 piece:1 int:1 universal:6 twist:1 periods:2 dawson:1 compared:10 brandenburg:11 detail:1 illinois:1 other:7 details:1 overwhelms:1 conclusion:3 stat:1 star:1 astronomy:1 spence:4 upwards:1 persistent:1 8th:4 |
0704.2003.txt |@word gv:1 lognormal:2 partial:1 consider:10 results:3 stops:1 go:1 follow:2 gabriella:1 decisions:1 causes:1 diffusive:1 simon:1 patches:32 comunidad:1 paris:1 effort:1 segments:2 lillo:5 finally:2 present:4 stable:1 quarterly:1 stochastic:1 heterogeneity:10 worth:2 indicating:2 ingredient:1 g3:6 risk:3 g1:5 without:1 very:5 continues:1 differently:2 fat:1 chooses:1 under:2 affect:1 skew:1 vast:1 level:2 integrated:1 large:19 evy:1 adjust:1 small:4 economie:1 smaller:3 throught:1 consistent:2 miur:1 maximization:1 direct:1 tef:4 sign:1 likely:2 cost:1 hyde:1 subtle:1 incrementally:1 dynamics:4 estimated:5 investment:6 blue:1 what:1 errors:1 hide:1 preferences:2 nei:1 section:1 selected:2 shares:2 business:1 consistently:1 nonstationarity:1 above:1 new:6 net:1 method:1 revealing:2 simultaneously:1 degree:1 exchange:3 respectively:1 human:2 component:1 here:2 behaviour:2 reported:2 free:1 meet:1 active:2 along:1 strong:1 obtained:5 scienze:1 institute:1 involved:1 study:6 larger:7 allows:1 scatter:2 credit:1 fabrizio:1 calder:1 probit:1 procedure:2 gabaix:5 usually:1 history:1 makes:1 composed:1 scales:3 apr:1 sistemas:1 highly:1 decrease:1 socioeconomic:1 total:6 estimate:2 market:13 plot:1 confidence:3 bouchaud:2 wealth:1 usa:1 physics:2 tail:1 noting:2 call:1 moro:1 themselves:1 analysing:1 markets:2 mec:1 factor:1 refrain:1 particular:1 cases:2 detects:1 iii:1 must:2 account:2 include:1 ma:1 effectively:1 science:1 clients:2 strategically:1 values:5 strategies:2 specialized:1 example:3 performed:2 control:1 heart:1 challenging:2 figure:4 process:3 december:1 cajal:1 agent:3 indicates:5 numbers:2 purchased:2 exclude:1 magenta:1 times:1 species:1 gopikrishnan:3 g2:6 information:5 cours:1 end:2 varied:1 rather:2 divided:1 acts:1 mike:1 how:1 criterion:1 reject:4 answer:1 explains:1 stock:14 profile:1 description:2 huge:1 tailed:1 derived:1 reflect:1 ζt:4 fe:2 sistema:1 ζx:2 italy:2 law:12 data:4 response:2 executions:1 changes:2 third:1 bootstrap:1 lines:5 st:1 perform:1 cannot:3 so:3 wyart:1 correlation:1 banks:1 acknowledges:1 order:6 least:7 feedback:1 institutional:3 indeed:1 over:1 mainly:1 trade:8 report:2 paper:4 through:1 statistical:3 pointer:3 its:2 before:1 accepted:1 la:1 lo:1 coordinates:2 detected:3 systems:3 farmer:2 euros:1 hidden:1 pca:5 fin:4 split:2 maximal:1 them:2 finance:3 impacts:2 material:1 investigated:2 scaling:7 tails:1 they:3 now:2 investor:1 bank:1 vm1:2 easily:1 execute:1 parameter:1 university:1 identified:3 coagulation:1 each:13 universit:1 carlos:1 mean:4 subset:2 domain:1 onico:1 financial:9 significantly:5 series:6 onica:5 related:1 decays:1 trading:9 year:2 eu:1 our:11 approximated:1 summary:2 eq:3 es:1 really:1 shown:2 dominates:1 literature:1 quantify:1 since:3 rev:2 research:1 content:1 participants:1 investigation:1 dominated:1 hill:1 squares:1 ref:4 sliding:1 red:3 shows:5 theory:6 contain:1 fisica:1 departamento:1 quite:1 reason:1 statistics:2 york:2 members:1 detecting:1 hand:2 likelihood:1 created:1 could:1 days:1 used:1 bilbao:2 length:2 place:1 universidad:2 consequence:1 kahneman:1 support:3 frequent:1 first:9 origin:1 organize:1 mercati:1 probability:4 variables:12 number:11 strategic:2 relations:9 spanish:1 electronic:1 size:16 given:3 asymptotic:1 needed:1 leading:1 dipartimento:1 system:6 approximately:2 indicate:1 master:1 too:2 percentage:1 exponents:12 rosario:1 fraction:1 recursively:1 park:1 stylized:1 reflecting:1 authors:1 than:9 hispano:2 detection:1 holland:1 eisler:1 complejos:1 rate:2 aims:1 project:2 determined:2 contrary:1 were:1 providing:1 prospect:1 san:4 investors:9 fluctuation:1 ram:1 matem:1 randomly:1 dufour:1 sen:1 exchanging:1 seen:1 sells:1 their:14 sell:7 self:1 atil:1 majority:1 ideal:1 materials:2 plerou:3 performance:1 circles:1 capitalization:1 transactions:5 any:1 quote:2 price:6 who:1 insets:2 most:3 verified:1 eight:1 politique:1 significant:1 quantitative:2 measured:1 exponent:3 marchesi:1 placement:1 takes:1 considered:3 clear:1 adopt:1 inferred:1 physica:1 lux:1 points:3 principle:1 parenthesis:4 typically:1 institutions:2 fact:4 laws:3 show:2 random:2 relation:5 threshold:3 portfolio:1 aggressive:1 biometrics:1 find:1 gefen:1 principal:1 impact:5 distributed:4 should:1 entities:1 only:4 black:2 developed:2 acknowledge:2 patchiness:1 interested:1 exchanged:3 do:2 di:3 ivanov:1 de:7 overall:1 tversky:1 ones:4 words:1 consecutive:1 buyer:1 compute:2 firms:25 volatility:2 evolution:1 course:1 arxiv:1 multi:2 patch:15 investigate:4 predicted:1 activity:5 mergers:1 set:5 predicts:4 espa:1 relative:1 checks:1 depends:1 individual:4 result:3 stanley:4 contour:2 best:2 detect:1 interacting:1 ways:1 directional:8 participant:1 cambridge:1 use:1 between:15 probably:2 boundary:2 reading:1 approach:2 across:1 available:3 recently:1 statistically:3 vertical:2 nature:6 sold:1 however:2 characteristic:1 cut:5 hypothesis:5 key:1 packages:14 bivariate:5 distribution:13 suggested:2 both:1 essentially:1 last:1 signed:1 many:4 taking:1 trades:10 according:2 contract:1 heterogeneously:1 etc:2 harvard:1 dated:1 variance:1 estimation:2 traded:11 finds:1 nearby:1 among:2 fi:1 ch:1 cm:1 supply:1 kertesz:1 aticas:1 period:3 dimensional:1 grants:2 agents:13 associated:2 panel:1 considering:1 sensible:1 viale:1 second:2 addition:1 interdisciplinar:1 distributional:1 due:4 been:1 strategy:1 much:1 contained:1 fig:4 firm:18 addison:1 direction:3 corresponding:1 bme:4 quantities:1 engle:1 modelling:1 neighbor:2 gisc:1 observe:2 brokers:1 demand:2 prices:3 careful:1 fl:1 spain:3 case:2 exception:1 pacs:1 might:1 empirical:1 value:22 will:1 while:1 optimization:1 behavior:6 delle:1 trader:2 characterizing:9 computed:2 vb:7 economics:2 characteristics:2 vm:15 need:2 vs:7 different:14 moves:1 develop:1 criticality:1 open:1 perhaps:1 make:1 belong:1 amount:1 same:2 orders:5 complex:3 action:1 inventory:4 buys:1 several:1 entitled:1 independent:1 extended:1 santander:3 see:7 comprehensive:2 nest:1 effect:3 possible:2 average:3 aggregate:1 invariance:1 transaction:3 database:3 minimize:1 adapted:1 stationarity:1 well:2 roughly:1 analysis:6 non:1 client:1 position:3 model:3 dimension:1 left:4 construct:1 manifold:1 being:1 observed:1 obtain:1 rest:1 shape:1 questions:1 world:1 tick:1 preprint:2 timescale:1 density:2 ordered:1 conclude:2 empirically:1 signals:1 concerns:1 lett:1 easy:1 eur:1 around:2 rnm:1 eigenvalue:3 big:1 showing:1 aggregation:2 preference:2 press:1 using:1 emergence:3 poses:2 palermo:2 sizes:3 follows:1 signal:2 performing:1 sized:1 either:3 diffusing:1 works:1 essential:1 making:1 ecology:1 methods:3 sequence:2 madrid:2 some:3 back:1 econometrica:1 examples:1 table:5 scale:3 describing:3 borland:1 broad:1 decision:3 legan:1 per:1 seller:1 does:2 provides:1 measuring:1 hausman:1 scientific:2 power:11 seconds:1 drift:1 journal:2 fitness:1 zipf:3 wesley:1 biases:1 santa:2 plots:3 refers:1 properties:4 hiding:1 about:1 central:2 package:6 dependence:1 compatible:1 estimator:2 horizon:3 act:1 gallagher:1 introduced:1 slightly:2 explicit:1 road:1 functions:1 em:1 own:1 pareto:1 tecnologie:1 computes:3 presence:5 into:2 within:1 obtaining:1 three:7 assess:1 lies:1 because:2 proportional:1 utility:1 aref:1 rows:4 log:6 segment:2 allometric:9 there:3 question:3 specifically:2 dispersion:1 intention:1 low:1 way:1 was:3 asset:1 function:4 buy:9 north:1 complete:1 funds:1 registered:1 electr:1 but:4 volume:4 bera:1 amaral:1 australian:1 made:1 applying:1 algorithm:6 wish:1 mantegna:2 characterization:1 maximum:1 us:1 limit:3 aversion:2 heterogeneous:2 fluctuations:4 problem:3 similar:1 called:2 lognormally:1 constant:1 significance:3 defined:5 chan:1 life:1 evidence:1 right:4 daily:1 accounting:1 esteban:1 distributions:6 mutual:1 assessing:1 lausanne:1 nm:18 want:1 variety:1 whereas:1 when:3 acknowledgments:1 other:4 role:5 test:4 mathematics:1 forcing:1 conclusion:2 models:1 symbol:1 behavioral:1 problems:1 grupo:1 stocks:5 pool:3 jarque:1 implies:1 partitioned:1 assume:1 quantifying:1 potters:1 interval:3 curve:1 coherent:1 together:2 time:13 uc3m:1 avoid:1 |
0704.2004.txt |@word concept:1 gs:17 consider:3 ron:1 duplicates:1 alg:1 both:3 desirable:1 focus:1 leads:3 entropy:3 edw:6 ga:4 consists:3 partial:1 denotes:2 sch:1 gesellschaft:1 inverse:1 depend:1 referring:1 aug:1 combinatorial:1 graph:18 segments:13 tr:3 young:6 intensive:1 finally:4 tm:2 present:2 under:1 stochastic:1 nodes:1 undirected:4 indicating:1 sound:1 random:3 presently:1 advantage:2 nearestneighbor:1 far:2 account:1 results:20 every:3 orientations:1 nieto:1 difference:2 fractal:18 four:1 europhys:1 exponential:1 hamiltonian:2 turns:1 large:10 small:4 shows:3 round:1 degeneracy:4 concluded:1 upper:5 strongly:2 averaged:3 recipes:1 carter:2 ten:1 consistent:3 estimates:1 direct:2 sign:1 past:1 zero:12 cost:1 further:8 estimated:2 odd:1 unger:1 linear:1 even:2 established:1 errors:2 xσ:1 section:4 slight:1 networks:1 current:1 above:6 vetterling:1 new:1 increasing:1 connected:5 method:4 quenched:2 full:2 ranged:1 respectively:2 aten:1 realizations:1 here:7 reported:1 explore:1 flannery:1 situation:1 represented:2 path:20 along:2 strong:1 respect:1 appears:4 interpret:2 calculate:1 obtained:14 hertz:1 provably:1 ahuja:1 institute:1 study:9 larger:8 allows:9 binder:1 ferromagnetic:1 prior:2 amount:2 periodic:7 resulting:4 loop:1 stiffness:3 studies:4 fitting:1 via:9 predicted:2 scales:3 discontinuous:1 contrarily:1 planar:1 santen:1 expect:3 ask:1 decrease:1 apply:2 total:1 orientation:1 plot:1 use:3 would:6 distinct:3 positive:2 contains:1 subpath:2 negative:9 next:1 duplicate:4 approach:8 therefore:3 type:3 until:1 more:7 becomes:1 glass:4 everywhere:1 varying:1 known:2 cases:4 iv:3 iii:11 potential:1 must:2 sample:3 mg:1 crosses:1 pivoting:1 cluster:5 setup:1 work:3 column:2 remain:1 values:6 temperatures:1 following:3 example:1 proof:1 tab:10 calculation:4 cited:1 organized:1 states:3 unbiased:1 minimum:24 numbers:1 degenerate:3 sense:1 tal:1 exclude:1 spanning:1 rescaling:1 occur:1 simple:2 ratio:1 dws:8 ones:2 surrounded:1 tained:1 provide:1 verify:1 divided:1 bonds:7 feature:1 roughness:12 regions:1 very:10 adjacent:1 instead:1 absolute:1 preferable:1 priori:1 exponentially:1 map:2 frac:1 mat:7 flip:2 may:1 max:9 mehlhorn:2 after:1 different:14 hence:15 physik:2 houdayer:1 fits:5 horizontal:1 law:2 data:11 types:2 workstation:1 introduced:2 attempt:1 outline:1 third:1 resemble:1 light:1 sq:5 lines:5 yielding:1 extremal:1 perform:1 frustrated:3 so:4 allow:6 diehl:1 representation:1 order:3 lθ:1 typical:3 holds:1 feedback:2 indeed:1 over:3 competing:1 satisfied:1 doussal:1 paper:3 through:2 same:14 statistical:1 lattices:3 mentioned:1 still:3 excitations:5 its:7 perfect:2 le:1 thank:1 fit:8 located:1 energies:5 exact:4 ll:2 presence:1 jij:3 lk:1 exhibits:1 actually:1 better:1 platform:1 stanley:3 systems:8 clusters:3 main:3 decades:1 eur:2 maximal:3 non:1 good:1 affected:1 universality:1 processes:1 investigated:3 flipping:2 scaling:36 framework:1 walls:12 effects:2 they:1 optimal:1 now:4 realize:1 wiley:1 fields:2 represents:3 february:1 finite:5 university:2 leading:1 2d:3 applied:1 filling:1 middleton:3 reasonable:1 each:8 weigel:2 universit:3 european:1 out:3 characterized:1 glasses:10 subset:1 el:1 domain:24 square:6 financial:2 directly:1 weight:29 short:1 ed:2 energy:23 hard:1 rieger:5 gaussian:21 related:3 inverted:1 constitute:1 carry:3 literature:1 connect:1 measure:1 separating:1 our:7 beyond:1 eq:3 description:2 shown:5 matrix:1 space:1 vch:1 restricted:3 furthermore:5 since:3 squared:1 research:1 include:1 contained:1 investigation:1 geom:1 maximized:1 denoted:2 get:1 ref:5 correct:1 math:2 weighted:3 earlier:1 theory:4 interactions:4 differ:1 free:4 standard:5 difficulty:1 approaches:1 put:1 estimate:10 shortest:10 log:3 pairs:3 interaction:1 regarding:4 applications:1 geometry:1 could:4 transition:3 times:1 turn:2 length:26 loops:5 assumed:2 corrections:2 configurations:5 onto:1 support:2 first:3 uncontrolled:1 already:1 isbn:2 fischer:1 probability:5 afer:1 relate:1 variables:1 number:10 system:28 done:1 construct:3 another:4 ℓl:2 comprises:1 jagged:1 clarity:1 open:1 several:2 size:13 given:9 long:3 temperature:1 quality:1 their:3 introduction:1 unknown:2 top:3 theoretische:1 adopted:1 indicate:1 returns:1 master:1 listed:2 calculations:4 realization:2 exponents:10 weinheim:1 gives:1 exploring:2 elaboration:1 collapse:1 reversed:1 exactly:4 lower:7 opez:1 part:4 rightmost:1 believe:1 representing:2 than:8 preferential:1 peaked:1 wide:1 rugged:1 depends:1 preparation:1 classes:1 pairwise:1 were:3 providing:2 treated:1 loewner:1 w2:4 exhibit:1 lowest:1 w1:4 explicit:1 defect:1 manuscript:1 close:2 seen:1 hexagonal:1 border:1 any:1 paths:9 computationally:2 laws:1 min:14 latter:2 responsible:1 able:3 note:11 high:4 without:1 take:1 satisfactory:1 online:5 finding:5 algorithms:5 strengths:1 maintain:1 eff:1 accuracy:2 circles:1 investigations:2 reach:1 pastor:1 most:1 germany:4 significant:1 successive:1 phase:4 min2:6 class:1 parisi:1 especially:1 considered:4 neighboring:1 clear:2 later:2 coincides:1 vertices:21 physica:1 dimension:13 graphs:2 points:2 exp:1 hastings:1 typically:1 sum:2 findings:1 joining:1 selection:1 show:3 text:1 supported:1 anyway:1 pagnani:1 attempts:1 relation:8 keywords:1 find:7 ground:5 impact:1 based:3 quoted:1 enough:1 should:3 bernard:2 only:9 black:2 geometric:1 subpaths:2 local:3 pointed:1 equilibrium:1 do:3 wissenschaftliche:1 plaquettes:4 means:7 df:43 landscapes:1 correlated:1 cannot:2 longest:2 aforementioned:1 despite:1 dw:6 crossed:1 ds:2 gray:1 evolution:1 contributes:1 ldr:2 numerous:1 arxiv:2 yield:7 summary:4 investigate:3 saturates:1 common:2 fitted:1 emy:1 approaching:1 bars:5 condmat:1 human:1 reference:3 acknowledged:1 signs:1 maximum:1 relative:1 see:12 w4:4 w3:4 result:11 enhanced:3 discussions:1 terms:3 forthcoming:1 springer:1 prototypical:1 techniques:1 oldenburg:2 exponent:12 subsequent:1 landry:1 currently:1 sites:2 state:2 determined:1 cambridge:4 correctly:2 between:2 drawn:2 boundary:6 reading:1 conditions:4 available:1 comparable:1 recently:2 nature:1 importance:1 weak:1 overestimates:1 subject:1 however:1 len:2 analyzed:2 configuration:6 meaningful:1 distribution:17 improve:1 suggested:2 σj:2 σi:3 σn:1 desired:1 many:5 bray:4 decay:2 according:3 contract:1 flipped:1 fulfilled:1 ln:1 dated:1 context:2 interesting:1 variance:2 contribution:1 mean:8 finds:1 teukolsky:1 albeit:1 originating:1 afterwards:1 conclude:1 wall:12 corresponds:2 community:1 sampling:5 dimensional:4 alone:1 maintained:1 hprn:1 coordinates:1 table:3 expensive:2 ct:1 considering:2 pp:1 described:3 illustrated:1 basis:2 addition:1 prentice:1 dis:1 due:5 shortening:2 much:3 treat:1 interest:1 basic:1 expected:1 pn:1 pl:10 fig:18 direction:7 describe:2 ottingen:3 antiperiodic:3 quantities:1 concerning:1 precision:3 gen:2 buldyrev:3 lift:1 determination:1 representative:1 systematic:2 c2:7 c1:10 general:1 spin:34 those:4 case:11 novel:1 look:2 external:1 pacs:1 solid:1 might:4 straight:2 appearance:1 engineering:1 value:13 remaining:2 will:8 while:3 optimization:3 replaced:1 bounds:1 behavior:24 error:6 sle:4 property:2 conformal:1 elaborate:1 procedure:4 havlin:3 program:2 detailed:1 studied:5 kawashima:3 vogel:1 almost:1 barahona:1 refs:1 thus:3 them:1 surface:1 equal:3 ii:6 middle:1 cond:7 dual:14 seem:1 disappear:2 capture:1 confirmed:1 monofractal:1 lengths:4 acknowledgments:1 lett:7 enumeration:1 clearly:2 shorter:1 matthew:1 unity:3 drawback:1 widely:1 largest:1 modification:3 gets:1 higher:1 used:1 singapore:2 percolation:2 comprehensive:1 numerical:4 effect:2 flows:1 hand:1 average:6 running:1 edges:14 purpose:2 recent:5 gss:10 theoretical:1 nevertheless:1 well:8 physics:2 obtaining:1 severe:1 edge:14 roma:1 firstly:1 position:1 model:21 arising:3 palassini:2 comprise:1 left:6 world:2 ldf:6 proposed:3 among:5 being:3 mcmillan:1 obtain:8 valuable:1 assigned:1 quotes:1 shape:1 underlying:1 identify:1 aspect:1 merge:1 alternative:1 previous:4 cut:2 extra:6 seems:2 except:2 hall:1 lattice:18 interested:2 treatment:1 samples:5 bond:5 apart:1 transformation:3 around:1 rev:18 easily:1 showing:1 decomposed:1 possible:8 increases:1 highprecision:1 reliable:3 press:3 using:5 bit:1 accepted:1 color:5 mod:2 like:6 sizes:14 follows:1 reduces:2 steps:2 either:1 janke:1 martin:1 aher:1 works:2 disorder:25 qualitative:1 spins:11 replacement:3 function:4 shed:1 because:5 some:2 somehow:1 library:1 rammal:1 understood:1 growth:2 moreover:1 matching:7 exists:1 nonzero:1 leda:2 scale:5 dimensions:3 lead:3 bottom:2 stronger:1 avoid:1 normal:3 conservative:1 does:2 connecting:4 yields:4 leftmost:1 virasoro:1 minimal:9 inserting:1 particular:2 run:1 scientific:2 power:3 bc:3 performed:3 vertex:1 equivalent:2 agreement:2 step:8 powerlaw:1 found:6 properties:5 comparison:1 bimodal:8 extension:2 obf:1 dependence:2 o:3 compatible:4 range:1 nothing:1 johnston:2 referred:3 slightly:1 height:1 own:1 inclusion:2 previously:1 into:3 within:6 integral:1 bound:9 three:1 down:1 pair:2 right:5 references:1 inverting:1 determine:4 ezard:1 coppersmith:1 technically:1 institut:2 additional:4 transfer:1 unmodified:2 there:5 hex:2 depicted:2 fast:1 width:5 describes:1 way:1 suit:1 resulted:1 slopes:3 analyze:1 was:10 aoki:2 runs:1 form:3 triangular:1 but:5 idea:1 change:4 repeated:1 construction:2 overhangs:1 marinari:1 line:3 true:9 illustrative:1 orlin:1 hartmann:8 whether:1 systematics:1 up:5 us:1 ur:3 below:2 critical:2 problem:9 similar:6 display:2 distance:1 mechanics:1 bearing:1 maynard:1 ordered:1 moore:9 computing:3 defined:1 certain:5 universal:1 contribute:4 influence:1 mike:2 denote:1 ap:4 examine:1 arises:1 exist:2 together:1 simulations:1 grateful:1 controlled:1 ramirez:1 distributions:10 worse:1 physical:1 again:5 functions:1 compared:6 nn:1 no:4 dashed:5 when:4 barth:1 huse:2 field:2 other:7 compares:3 details:3 branch:1 np:1 mass:1 nr:1 really:1 observable:1 deviation:7 picture:2 stat:1 kinds:1 excitation:2 separate:1 models:1 backbone:1 problems:1 fisch:3 includes:1 ising:6 observables:1 fisher:2 needed:1 structure:1 network:1 droplet:3 isotropically:1 auxiliary:3 algorithm:15 corresponding:6 starting:1 interval:2 curve:1 governed:1 original:1 dr:6 inset:2 observe:3 weights:10 fact:1 time:3 serious:1 once:1 requires:1 having:2 bcs:10 |
0704.2005.txt |@word precise:4 homomorphism:4 consider:8 illustrates:1 rx:7 equalities:1 global:1 results:18 four:2 proposition:10 computation:2 sci:1 primes:1 devoted:1 whose:1 inverse:3 calculate:2 radical:2 finie:1 avramov:1 factoring:1 quasi:1 tj:2 tk:1 th:10 ti:1 hermann:1 γb:1 analogous:1 include:1 spec:7 norm:1 ta:5 pˆ:1 applied:1 lack:1 expressing:1 advantage:1 springer:2 choice:2 corollary:21 cofinite:1 every:1 exact:68 condition:7 dim:101 school:1 intersections:1 suffices:2 notes:3 vasconcelos:1 nostrand:1 t0:1 ri:5 large:1 vector:1 esults:1 avoiding:1 schenzel:15 upper:1 work:1 submodules:2 ψi:3 variables:2 estimates:2 direct:6 second:6 infimum:1 pass:1 further:4 copenhagen:1 canonical:8 residue:5 will:14 filtration:6 section:19 cohomologie:1 version:3 above:14 sup:11 obvious:1 bn:14 satisfy:1 homology:4 degree:2 containment:1 here:12 desired:1 simon:1 indecomposable:13 consideration:1 along:1 invented:2 change:2 remark:5 hbi:2 divisor:1 atica:1 technical:3 study:2 studied:3 contradiction:2 sharpening:1 products:1 correct:1 quotient:1 aufl:1 family:4 apr:1 herzog:1 apply:4 indecomposability:1 total:1 univ:1 bound:2 use:6 asymptotic:1 prove:14 sake:1 positive:1 h0:1 contains:1 bundles:1 finally:3 next:10 almost:1 suppr:7 call:1 therefore:27 taken:1 artin:3 type:2 more:8 flat:11 compositio:1 duality:11 composite:1 equipped:1 stone:1 validity:1 normalized:4 particular:8 known:5 projective:22 hold:1 iii:5 γa:4 account:1 isomorphism:13 ma:1 characterize:1 mm:1 recall:3 der:1 mn:13 deficiencies:2 faltings:2 mp:11 cal:1 following:35 loi:1 trans:1 example:13 proof:69 claim:12 hyperplane:1 sense:1 scand:1 huneke:1 tensoring:1 minimum:2 want:6 irreducible:1 extir:1 occur:1 information:1 vanish:2 end:21 goal:1 provide:1 s2:5 s1:2 hom:38 length:3 dualit:1 maps:1 criterion:1 pure:3 ordinary:1 parameter:3 map:1 de:4 description:2 algebra:15 may:20 max:2 derived:4 residues:1 applications:2 adic:16 inst:1 multiplication:1 summarize:2 data:3 rmodule:2 short:33 natural:10 remember:15 whenever:2 lemmas:1 explicit:1 redundant:1 element:12 sk:1 si:6 so:19 ultimate:1 fundamental:1 decreasing:2 definitions:4 order:13 ec:1 harp:1 holds:2 words:1 noteworthy:1 over:4 uther:1 paper:4 nstitut:1 ity:1 mentioned:2 existence:4 satisfies:5 its:6 alle:2 derive:3 la:1 summands:1 sheaf:3 tori:4 li:6 forms:1 opez:1 choose:4 torr:6 mail:1 main:3 might:4 into:6 arguments:3 maximal:2 non:15 ym:1 yn:2 introduce:1 isomorphic:4 break:2 they:1 now:27 nor:1 easily:6 equality:7 homomorphisms:2 always:2 university:1 theory:1 inequality:3 l0:1 turns:5 universit:1 side:2 exti:5 subset:1 domain:3 schemes:1 completions:1 simplicity:2 series:2 related:4 deficiency:2 expect:1 fist:1 measure:1 our:3 t1:1 marley:1 numeration:1 er:6 category:2 shown:6 rp:4 furthermore:4 since:10 induces:12 denotes:15 contained:1 investigation:2 induction:8 occurs:1 math:14 shows:3 ass:40 bass:1 hull:4 free:1 plex:1 admits:3 difficulty:2 york:1 habilitationsschrift:1 put:12 matem:1 estimate:2 publ:1 inductive:5 definition:19 pairs:1 geometry:1 ask:1 quotients:1 introduction:1 bstract:1 abuse:1 place:1 assumed:1 consequence:10 first:25 mittag:4 simplifies:1 ntroduction:1 xm:7 grade:21 relate:2 possessing:3 primary:9 rank:1 phil:1 done:2 another:11 xr:37 ring:51 appl:3 given:2 necessarily:1 peskine:3 intention:1 tor:1 system:18 relations:1 their:5 assumption:6 statement:8 ordered:2 shifted:1 halle:1 tool:2 part:9 authors:1 x2:4 x3:4 x1:9 completes:5 x4:4 varieties:1 finitely:66 kind:1 holland:1 recerca:1 split:2 zero:5 preparation:2 computations:2 determined:1 contrary:1 supposed:1 fˆ:1 punctured:1 rad:25 generality:7 cohen:4 argument:1 generalization:3 say:2 need:2 seen:7 macaulay:3 demonstration:1 any:8 functors:3 homological:3 lim:158 gruson:1 able:1 note:20 instance:1 ideal:52 concerns:1 take:3 paris:1 coincide:1 mayer:9 elias:1 lectures:1 converse:1 investigations:2 object:1 systems:2 birkh:1 complexes:20 hautes:1 regular:4 connected:7 preparations:2 xn:5 preliminary:3 remarks:1 plays:1 intrinsic:2 class:1 observation:1 considered:1 clear:4 algebraization:1 coincides:1 dimension:22 notion:3 fact:5 dualizing:24 show:5 relation:6 subtle:1 trivial:1 completion:16 fibre:1 bourbaki:1 situations:1 representation:1 homomorphic:1 lemma:21 only:7 habilitation:1 subsection:7 factor:2 constant:1 local:79 preliminaries:1 dn:1 do:3 his:1 birational:2 notation:14 means:1 express:1 manuscripta:1 hartshorne:3 aim:1 dx:2 new:3 applying:1 du:1 dr:50 neither:1 prime:17 arxiv:1 summary:2 whether:1 investigate:1 view:3 arp:2 set:4 computed:1 exists:7 locale:1 unpublished:1 module:109 bounds:1 see:4 alg:1 result:27 theoretic:1 ebre:1 subject:1 adically:3 satisfying:1 komplexe:1 inequalities:1 subsequent:2 rings:3 rˆole:1 enough:8 various:2 progress:1 boundary:1 avoidance:1 notice:5 terms:6 extend:1 azar:1 vanishing:25 hypothesis:4 algebraic:1 extent:1 amer:2 tud:1 ker:3 topology:5 both:3 cor:2 last:1 reverse:1 limits:1 many:1 taking:2 equal:1 vietoris:9 und:1 uni:1 passing:11 com:1 among:1 ci:2 ch:5 cn:7 cm:1 characterization:1 ca:2 address:1 cohomology:95 cf:116 height:4 dimensional:3 cx:3 simply:1 sequences:15 moreover:21 coker:1 speak:1 considering:1 ps:6 pp:1 commutative:8 pt:7 aˆ:1 addition:1 copies:1 been:4 much:2 basic:7 pj:8 extends:2 pi:18 ann:6 empty:1 define:10 surjective:3 direction:1 families:3 finishes:7 commutes:3 concerning:1 nakayama:1 spectrum:1 coherent:1 observe:8 understand:1 systematic:2 denote:81 extensive:1 present:1 roig:1 case:22 p1:9 disconnected:2 subsets:2 trick:1 contemp:1 while:5 proves:7 suppose:11 viii:1 behavior:8 applies:2 koszul:2 aid:2 property:2 geometric:1 epimorphism:4 lokalen:1 thus:3 them:1 iv:1 ii:1 flatness:1 im:1 phenomenons:1 dual:2 claimed:2 regensburg:1 supremum:1 noetherian:4 generic:1 belong:1 clearly:2 hxr:2 complex:47 connectedness:21 ermany:1 φi:1 proved:1 finite:3 φn:2 difficult:2 independent:1 finish:2 trivially:1 matlis:6 hand:4 dimr:6 auser:1 artinian:7 uˆ:3 six:1 lower:1 supports:1 expression:2 min:9 well:3 obviously:1 plete:1 without:8 components:1 mathematik:1 corner:1 possesses:5 left:2 summer:1 being:1 resp:11 obtain:1 detail:1 λa:8 underlying:1 transforms:1 integer:15 facts:1 alternative:1 previous:16 hai:28 haj:2 submodule:2 field:7 conclude:2 seems:1 eferences:1 improvement:1 other:3 transformed:1 easy:2 theorem:37 har:2 remaining:1 generalized:1 around:1 isomorphisms:23 breaks:1 sums:1 descending:1 press:1 using:1 sume:1 cd:61 formal:75 loss:7 mir:1 osungen:1 niversit:1 follows:36 continue:4 yields:4 either:1 arbitrary:4 ha0:1 mr:1 works:1 kawasaki:1 reduced:2 delfino:1 because:20 sequence:68 some:4 homr:20 homs:1 ideals:18 functorial:2 szpiro:3 respect:18 peter:1 resolutions:1 rodmann:1 nonzero:1 provided:3 vol:2 dimensions:3 centre:1 annr:21 prop:3 does:4 decomposition:5 provides:21 compute:1 torsion:2 proc:2 minimal:15 refer:3 pr:2 power:2 bm:2 equivalent:8 constructive:1 step:2 shifting:1 leffler:4 br:1 putting:2 relating:1 properties:6 injective:13 proceed:4 chapter:3 integers:3 about:17 extension:2 depthr:2 cohomological:18 o:4 essential:1 distinct:3 whence:10 hochster:1 cech:8 ou:1 introduced:5 morphism:1 considerations:4 soc:3 cambridge:1 statements:1 unbounded:2 image:1 h1:1 rγa:1 pair:2 right:1 determine:2 amsterdam:1 van:1 few:3 topologies:1 there:76 transform:1 long:15 start:3 lect:2 doubt:1 ed:1 analyze:1 was:4 rees:2 north:1 complete:14 form:1 sequel:1 but:9 construction:1 functor:2 hm:160 injection:1 ha:6 true:8 wise:2 catenary:1 supp:28 up:3 us:4 ur:1 um:17 variant:1 limit:15 grothendieck:1 problem:2 similar:1 called:9 assr:18 cambr:1 ac:1 ab:2 associated:8 defined:4 certain:10 am:20 generating:1 auslander:1 general:3 single:2 ar:15 exist:1 together:2 relates:1 ay:1 corresponding:6 inf:8 defines:1 again:1 proofs:1 completeness:1 no:1 hpr:1 when:3 vanishes:2 application:4 interested:1 details:5 hpa:1 out:6 arithmetic:1 conclusion:1 deviation:1 conjectures:1 elements:10 categories:1 generated:67 important:3 bounded:7 structure:8 scient:1 implies:11 amp:1 lichtenbaum:1 assume:19 required:5 modules:55 finished:1 gorenstein:4 depth:6 n0:2 n1:3 n2:3 4e:1 resolution:4 virtue:4 |
0704.2006.txt |@word secondly:1 consider:4 dynamic:1 results:3 leads:6 eds:1 comments:1 go:1 gl:1 localized:1 inverse:1 calculate:4 γr:3 charge:6 th:2 under:1 td:1 case:1 supported:1 very:3 wave:10 φne:1 experimentally:2 matrices:9 condition:1 illustrated:1 presented:1 transmission:7 positions:2 permits:1 guo:1 eve:2 t0:2 large:1 vector:2 annihilates:1 ml:1 consistent:2 direct:1 sign:3 second:8 me3:1 me2:5 jacquod:1 even:1 sll:5 ˆr:1 sub:1 sprinzak:1 sun:1 sum:1 dephasing:1 expressed:7 nll:1 current:1 experiment:8 gi:7 above:1 ˆi:2 appeal:1 journal:1 contrast:1 outgoing:6 αii:3 here:8 bi:2 behaviour:1 tnm:1 asymmetry:1 mes:1 along:1 strong:1 equations:1 appears:1 change:1 samuelsson:1 incoming:4 leaves:1 larger:1 completely:2 leaving:1 sjl:1 permit:1 resonance:1 involves:2 ne1:1 via:3 useful:1 mortensen:1 highly:1 api:1 total:1 linearly:1 derivatives:1 use:2 proceed:1 working:1 probabilities:1 de1:1 de2:1 contains:3 iq:1 gabelli:1 therefore:3 type:1 more:1 conductor:7 operators:6 ti:1 particular:1 known:1 roulleau:1 blocking:1 states:22 account:1 effectively:1 recall:1 equation:6 work:6 modified:1 infinitesimal:1 values:1 growing:1 deb:1 spontaneous:1 example:2 wang:1 figure:1 process:2 neglected:1 dependence:1 involve:1 collision:3 spl:2 numbers:1 occur:1 carriers:6 means:1 pedersen:1 length:1 δk:5 delay:2 how:1 langen:1 sik:1 sij:1 simplicity:1 product:3 description:1 our:7 snm:3 timed:1 plane:1 waves:1 multiplication:1 fi:5 fl:1 response:1 diagonal:5 electron:1 fundamentals:1 so:2 correlation:6 uncoupled:2 order:2 superscript:1 wigner:2 help:1 developed:3 over:2 choose:1 nii:3 symbols:1 experiments:1 through:4 signs:1 y0:5 satisfies:1 still:1 its:2 before:1 write:2 ld:1 derive:2 thank:1 interesting:1 ll:2 coordinates:1 edge:2 srl:3 absence:1 systems:5 derivative:1 non:4 good:1 elementary:1 effects:1 they:1 twoparticle:4 now:3 dede:1 hall:1 brouwer:1 term:1 several:1 equality:1 x0:5 hamiltonian:2 flensberg:1 each:1 found:1 universit:1 2ef:1 anchez:1 ei:4 mesoscopic:5 energy:18 ef:5 gaussian:1 related:1 solution:1 interferometer:1 conductance:2 frequency:1 hli:3 measurement:1 quantum:17 relates:2 beyond:1 eq:12 mat:1 rt:2 shown:2 δrm:1 matrix:30 space:2 furthermore:2 since:2 rev:18 particles:5 collisions:2 ref:4 shows:1 gate:1 wiley:1 theory:4 interactions:2 pumping:1 approaches:2 york:1 e4:8 e1:22 e3:10 e2:23 pairs:1 interaction:15 derivation:1 created:2 widths:1 transition:2 times:1 creates:1 turn:1 δin:1 consequence:2 interact:1 first:14 initial:1 probability:9 number:3 channels:1 another:2 aharonov:1 illustrate:2 given:1 introduction:1 eqs:4 system:7 their:1 assumption:1 master:1 dwell:1 gives:2 lippmannschwinger:1 continuous:1 immediate:1 uttiker:6 part:4 tive:1 than:1 specify:1 wide:1 transferred:1 tunable:1 rewrite:2 qpc:3 mind:1 spectrum:1 generalization:1 any:1 self:2 physique:1 sela:1 instance:1 subjects:1 combining:2 forces:2 δnm:1 detector:1 channel:2 kulik:1 reach:2 pekola:1 boltzmann:1 connected:1 marie:1 measured:2 class:1 mach:1 kf:2 breitwigner:1 dordrecht:1 calculated:1 later:2 kl:3 curie:1 electrons:2 exp:1 levinson:1 velocity:1 physics:2 dot:30 science:2 nlr:2 shot:3 show:1 tkm:1 relation:2 scatterer:2 trivial:1 find:7 based:1 outside:2 only:5 going:1 factor:1 hamiltonians:2 oct:2 exchanged:1 do:1 dl:1 dj:1 di:5 de:5 expectation:1 famous:1 cannot:1 new:2 timing:1 quantifies:1 gen:2 tems:1 processes:4 arxiv:2 paper:1 predicted:1 switzerland:1 γl:1 view:1 unpublished:1 correlations:5 packet:3 depends:6 δjr:1 result:1 sea:1 recently:2 ke2:1 interacting:12 yet:1 symmetric:1 state:5 between:8 αi:5 fermi:6 boundary:1 hackenbroich:1 approach:5 2πiλ:1 terms:6 extend:1 nature:3 weak:1 jl:1 incident:4 ji:1 key:1 highlight:1 distribution:1 both:5 last:1 region:3 equal:1 rtn:1 dated:1 distinction:1 contribution:2 disappears:1 τd:3 ci:1 ch:1 point:4 ingoing:1 dimensional:1 taylor:1 simply:1 applicability:1 ct:1 considering:1 kernels:1 described:2 create:1 sukhorukov:2 three:1 been:7 defined:2 marquardt:1 much:1 treat:4 interest:1 rates:1 expected:1 ph:1 pl:2 fig:4 dots:13 describe:4 controlled:1 nrl:2 quantities:1 argument:1 coherent:1 epartement:1 nrr:1 general:2 present:1 applied:1 intriguing:1 pacs:1 ǫi:2 expanded:1 slr:6 will:10 while:2 suppose:1 capacitively:2 tunneling:1 hdi:6 nonrelativistic:1 real:1 vectors:1 vf:3 coupled:8 chaotic:1 vi:1 ir:3 thus:3 them:1 ii:58 cond:1 il:2 different:5 cross:4 same:2 noninteracting:1 pauli:1 physical:1 independent:1 used:3 see:1 zehnder:1 effect:3 sys:1 conductors:6 nir:4 recent:1 linearize:1 weakly:2 off:2 reflection:2 charges:1 well:2 without:1 bohm:1 academic:1 contact:6 iλ:1 swiss:1 left:8 λq:2 obtain:1 valuable:1 relevant:1 voltage:2 regardless:1 λi:2 yamamoto:1 scattering:32 eigenstates:2 kluwer:1 density:9 cl:2 smith:3 valid:1 treatment:1 hekking:1 input:1 eigenstate:3 momentum:1 take:1 resolved:2 beenakker:1 tests:1 neder:3 around:1 read:1 evaluate:1 iη:3 eorique:1 using:5 jauho:1 mod:1 factorize:1 necessary:2 like:2 particle:27 interestingly:1 velocities:1 δs:2 either:1 arbitrary:1 output:1 δe:3 disorder:1 reduces:1 scatterers:4 right:6 often:1 phenomena:1 transport:1 vol:1 proceeding:1 lead:14 contacts:1 overlap:2 gurvitz:1 everything:1 assuming:1 refer:2 noise:5 obey:1 indicated:1 rep:1 equivalent:1 martin:1 11i:2 agreement:1 bj:1 bk:1 br:2 relating:1 properties:3 noisy:1 about:1 discussed:3 drag:1 o:2 srr:1 piled:1 range:4 carrier:1 other:1 nanoelectronics:1 presence:1 into:2 integral:2 nsf:1 due:1 because:3 determine:2 operator:5 proportional:1 theoretically:1 statistics:1 van:1 devices:1 assumed:1 there:2 long:3 width:1 delocalized:1 was:3 function:1 form:3 vanishing:1 δkm:1 but:4 reminds:1 mcclure:1 hl:1 hc:7 hd:1 annihilate:1 2πi:5 up:3 us:4 2πiw:1 exerts:1 limit:7 fluctuations:3 problem:1 define:1 similar:4 fulfills:1 partition:1 associated:1 ai:1 ak:2 aj:1 influence:1 denote:2 eu:1 single:8 formulation:1 corresponding:1 defines:1 functions:1 proaches:1 vanishes:1 schwinger:4 application:1 interested:5 suppress:1 nr:1 out:1 conclude:1 elements:6 calculating:1 separate:1 problems:1 shepelyansky:1 generated:2 important:1 coupling:4 coulomb:6 assume:4 lippmann:4 packets:4 barriers:1 investigated:1 mass:1 time:5 requires:1 lett:9 |
0704.2007.txt |@word gt:1 homomorphism:36 consider:5 equalities:1 results:11 invent:3 four:4 eds:1 proposition:11 ga:3 follow:1 primes:3 research:1 gk:1 gi:2 gr:7 whose:3 inverse:12 depend:2 matsumura:1 graph:3 technique:1 quasi:6 adically:2 th:2 ti:3 undirected:1 conjecture:5 matem:1 summand:1 g1:1 zhang:4 suggesting:1 corollary:8 every:1 exact:17 condition:1 dim:55 school:1 turns:3 notes:3 t2:1 joined:1 correct:1 vector:1 schenzel:12 smaller:1 grateful:1 direct:6 krull:2 zero:23 further:1 canonical:11 spectral:4 abe:1 section:15 bc:1 version:2 above:9 coefficient:1 degree:1 respectively:1 applies:1 here:11 understanding:2 them:1 aid:1 directions:1 along:1 invented:1 cofiniteness:1 remark:14 technical:1 study:1 studied:2 contradiction:1 ext1r:4 sharpening:1 su2:1 tu:1 family:2 va:2 replace:1 ask:1 apply:3 univ:2 unit:6 use:4 asymptotic:1 would:2 prove:2 distinct:1 positive:1 γi:11 next:1 few:3 suppr:1 therefore:23 centre:1 type:1 preserved:1 flat:1 formally:1 duality:10 under:1 virtue:7 particular:8 known:3 cases:1 iii:2 me:1 springer:2 isomorphism:13 mb:1 recall:11 originally:1 mi:9 ij:10 codimension:11 following:32 trans:1 singularities:1 example:13 proof:29 claim:6 conf:1 give:2 huneke:8 δj:1 numbers:11 want:1 sense:2 sharp:3 reynolds:1 information:1 end:12 s2:4 discussion:1 means:5 feature:1 pure:1 answer:1 e2n:1 map:5 proc:1 description:1 algebra:12 may:3 uli:2 derived:7 residues:1 diagram:6 adic:2 e2p:1 summarize:1 aα:8 realized:1 short:11 natural:23 varieties:2 third:1 whenever:2 fu:1 element:8 so:17 order:4 hom:23 interpretation:1 rγm:4 over:4 paper:4 satisfies:1 its:2 elias:1 before:2 interesting:1 fix:2 affine:1 forms:1 choose:1 mail:1 main:1 might:1 maximal:6 non:13 operator:1 number:11 heinzer:1 they:5 singularity:1 now:10 yu:1 discuss:2 easily:5 term:1 several:1 equality:1 extr:3 homomorphisms:8 invariants:5 theory:1 extc:3 each:1 hochster:6 domain:1 fication:3 completions:1 series:4 stronger:1 functor:6 deficiency:2 our:7 out:4 category:4 shown:10 rp:9 matrix:1 space:1 furthermore:2 since:6 induces:7 denotes:8 contained:1 mα:6 rational:1 conjectured:2 rl:2 formula:1 induced:1 induction:1 occurs:1 math:13 shows:3 ass:1 bass:5 localization:1 hull:2 mir:1 free:2 admits:5 atica:1 put:3 estimate:1 definition:15 pairs:1 geometry:1 phrases:1 consequence:12 first:5 separable:1 halle:3 subcomplex:1 finiteness:1 relate:2 variables:4 primary:4 rank:2 xz:1 universita:1 xy:2 u3:1 another:4 carry:1 ring:101 xv:1 given:2 needed:2 introduction:2 system:7 their:2 assumption:5 too:1 statement:5 final:2 way:1 cokernel:2 immediate:1 ix:4 x2:2 x3:1 x1:2 x6:2 x4:1 x5:1 finitely:15 recerca:1 sections:1 second:4 stu:1 contrary:1 were:1 w2:1 pointed:1 cohen:5 mind:1 argument:1 endomorphism:10 prp:2 need:3 seen:5 macaulay:5 any:2 constructions:3 homological:2 lim:27 able:1 isolated:2 note:3 instance:2 ideal:40 coincide:1 techniques:1 computation:2 residue:3 towards:1 trace:1 investigations:2 lyubeznik:26 birkh:1 complexes:5 regular:19 connected:18 nothing:3 whence:2 sally:1 class:1 constructed:1 observation:2 considered:2 clear:2 coincides:1 vertices:4 drawing:1 graphs:1 ext:1 hi:3 notion:2 fact:4 dualizing:1 cde:1 hi2:12 hi3:4 show:6 contemporary:1 relation:1 hypercohomology:1 d2:1 ground:1 completion:6 finally:2 topological:1 lemma:19 only:8 factor:1 he:1 local:78 preliminaries:2 do:1 hir:3 his:2 birational:1 notation:8 get:2 de:2 rad:1 hartshorne:13 hia:3 hic:84 words:2 progress:1 hii:22 hij:2 γm:6 hin:4 secondary:1 prime:9 endomorphisms:1 arxiv:1 summary:1 supp:7 investigate:1 multiplicity:1 nα:9 implication:1 view:4 kernel:2 set:1 computed:1 exists:3 module:36 see:6 result:9 subject:2 error:1 irp:6 irs:1 rings:14 cd:1 enough:1 various:1 closed:1 invariant:1 conditions:4 notice:2 terms:2 vertical:5 attention:1 vanishing:11 key:1 amer:1 ker:3 wy:1 topology:1 concentrated:1 0s:2 informatik:2 last:1 roig:1 limits:3 ua:2 equal:3 vietoris:2 fulfilled:1 connection:1 0d:4 ext2r:3 passing:3 extir:2 address:1 cohomology:27 cf:51 height:19 dimensional:12 represented:1 bα:18 sequences:1 respect:6 better:1 pp:1 commutative:27 aˆ:1 union:1 copies:1 wz:1 defined:3 ade:1 interest:3 basic:2 improve:1 ann:1 define:2 cohomologically:2 suggested:1 direction:2 corresponding:1 adjunction:1 commutes:2 sufficient:1 luther:1 else:3 observe:3 deep:1 chevalley:1 c3:1 denote:52 present:1 case:14 value:1 will:6 while:4 suppose:8 behavior:1 blickle:4 indecomposable:2 property:1 inspired:1 walther:3 serre:1 iz:4 epimorphism:1 ir:1 thus:1 surprisingly:1 ii:29 middle:1 itself:1 dual:3 noetherian:11 id:7 containing:14 author:4 make:1 hj2:2 clearly:7 complex:9 connectedness:3 units:1 φi:9 finite:7 composition:1 investigated:1 embedding:2 again:1 dimk:16 upon:2 hand:2 dimr:2 auser:1 uni:1 artinian:2 cr:6 six:2 identity:2 recent:1 weibel:1 acknowledgement:1 well:4 analysis:1 edge:2 components:9 five:1 dimension:5 left:1 summer:1 degenerates:1 resp:3 via:1 transforms:1 previous:10 intersection:7 classification:1 field:26 parametrization:2 improvement:1 add:1 interested:2 easy:2 theorem:49 stable:1 isomorphisms:9 situation:2 matlis:6 corresponds:1 descending:1 know:4 press:2 integer:4 unique:1 formal:5 mayer:2 necessary:1 semi:2 follows:28 yields:4 always:2 essential:1 because:20 namely:1 sequence:23 bde:1 some:10 homr:47 algebraically:1 ideals:5 elements:2 examples:2 b2:1 moreover:16 peter:2 provided:4 vol:1 confirm:1 shall:4 annr:3 ac2:1 does:2 provides:10 assuming:1 compute:1 intersections:2 homs:1 minimal:7 refer:4 algorithmic:1 power:4 slight:2 equivalent:4 martin:1 bi:39 bj:13 bt:1 step:2 br:2 bs:1 imaginary:1 properties:7 injective:10 proceed:1 about:7 extension:5 algebraic:2 cohomological:2 discussed:1 o:1 addition:2 carries:1 a2:2 germany:1 introduced:3 consequently:1 considerations:1 soc:1 cambridge:2 statements:3 inclusion:1 into:1 isomorphic:4 compos:1 right:1 references:1 elementary:1 rows:1 institut:1 additional:2 support:2 there:47 question:3 socle:1 long:2 strict:3 lect:2 appl:1 lot:1 ed:1 was:5 minors:1 wittenberg:1 complete:21 hiq:3 sequel:1 but:9 construction:5 related:3 hm:58 lectures:1 injection:3 highest:3 true:6 truncation:4 applying:3 contracting:1 whether:5 characteristic:11 us:2 limit:7 grothendieck:1 sum:1 problem:2 similar:1 called:2 b1:1 ac:1 proved:2 ad:1 ai:13 certain:6 abstract:1 describe:4 am:1 textbook:1 general:6 henselization:3 proves:2 check:1 defines:1 ni:8 nj:1 variety:1 when:3 application:6 other:4 details:2 mathematics:1 er:4 concerning:1 functorial:1 problems:1 generated:16 important:1 variable:1 structure:8 auxiliary:4 lichtenbaum:4 assume:6 required:2 modules:21 gorenstein:14 resolution:4 |
0704.2009.txt |@word represent:2 katz:1 evidence:5 consider:6 induces:2 preliminaries:1 abramovich:2 integration:1 proposition:1 grateful:1 c2:3 getzler:3 follow:1 toric:2 row:4 compact:3 repetition:1 tx:12 gerbes:1 tq:1 eorb:2 γj:10 finally:1 tm:12 promoting:1 tk:11 th:8 under:4 ev1:2 γg:4 kσ:9 qaµ:6 conjecture:27 rαβ:2 string:6 straightforward:2 zhang:3 very:4 mn2:1 results:1 denoted:1 corollary:1 witten:43 every:1 invent:1 summarized:1 vdim:2 li:10 condition:3 evi:1 evj:1 dubrovin:3 horb:2 quantized:1 evn:2 hamiltonian:3 suffices:1 solution:3 t0:1 t1:1 pullback:2 involution:2 differential:2 relation:2 rk:5 homomorphism:1 zn:13 work:1 neighborhood:1 computation:2 hori:4 zg:12 direct:3 zero:38 insertion:4 chen:6 ctop:9 linear:6 index:5 what:3 kimura:2 diag:1 section:14 brief:2 infinitesimal:1 issues:1 above:4 method:1 obvious:1 gh:1 acknowledgments:1 satisfy:4 devoted:1 eω2:1 lee:1 degree:28 αij:2 respectively:3 component:7 here:3 understanding:1 modular:1 inverse:1 groups:3 address:3 represented:1 along:1 equations:3 mod:1 z3:2 obtained:4 remark:4 divisor:2 institute:1 shift:3 study:1 completely:1 bryan:2 action:3 λr1:17 uniquely:1 via:1 projection:2 explained:2 marked:5 vir:3 addressed:1 equivariant:2 tp:1 apply:1 total:2 aganagic:1 linearly:1 virasoro:50 use:5 additive:2 takes:1 mσi:1 formulated:2 positive:2 contains:1 bundles:1 uniqueness:1 selecta:1 next:2 ψj:1 χorb:1 wood:2 tα0:2 therefore:2 m3:1 infinitesimally:1 means:1 type:4 more:1 batyrev:3 iip:2 composite:1 initial:2 operators:11 stable:11 corrected:1 iix:9 refrain:1 flag:2 appendix:3 threefolds:1 particular:2 known:3 projective:13 cases:1 hold:1 must:2 mg:6 valued:2 defines:1 frobenius:5 mb:13 tαm:2 equation:12 mn:12 mi:28 tαk:4 fock:7 values:4 ms:6 following:18 nonsingular:3 example:4 proof:13 claim:1 triple:1 give:2 calculation:2 lωn:3 organized:1 lω:6 numbers:4 4j:1 tseng:16 respective:1 motivic:1 darboux:4 verify:1 discussion:1 holds:2 write:7 maps:7 classifying:1 vancouver:3 get:2 ωpx:1 ψik:1 map:8 product:3 algebra:2 may:5 cohomologies:1 derived:1 dx0:7 diagram:1 applications:2 plane:1 date:1 representations:1 data:2 compatibility:1 constants:2 sp:1 diagonal:2 natural:3 r0:2 chern:3 lines:2 element:1 sk:9 dilaton:7 si:3 so:9 fundamental:3 recursion:5 representation:1 words:1 acts:2 help:1 duke:1 indeed:2 pointed:1 entries:1 vary:2 soon:1 interpreted:3 paper:5 through:3 y0:3 satisfies:1 okounkov:1 its:2 orbifold:66 τl:2 τm:4 group:5 τk:17 τi:7 ln:9 interesting:1 lm:10 lj:6 lk:7 coordinates:7 τa:2 forms:2 complex:1 version:1 mail:2 main:3 semisimple:1 serre:1 ri:4 them:1 return:1 combination:2 descendants:1 material:1 introduce:4 primary:2 they:1 cst:5 canada:3 now:11 discuss:5 autx:1 riemann:3 articles:1 february:1 finite:2 equality:1 pνb:4 2s:5 invariants:16 university:4 presented:1 l2:1 π1orb:3 l0:2 each:4 identifies:1 side:7 2j:1 constraints:38 hsian:11 weighted:13 formulate:1 simplicity:1 series:4 related:2 breakthrough:1 finish:1 combining:3 quantum:11 our:3 special:1 out:1 hcr:13 qa:2 6a:1 eguchi:3 matrix:9 space:11 ciocan:1 since:3 lagrangian:1 research:2 fellowship:3 vector:4 geom:1 rational:1 suggesting:1 rm:6 rn:4 evaluation:1 occurs:1 math:29 shows:3 orbifolds:12 gromov:43 theory:36 ast:4 singularities:1 descendents:1 gromovwitten:2 free:1 admits:1 reason:1 complicated:1 put:5 hep:1 orb:10 definition:3 asymptotical:1 r1:7 r2:1 agree:1 geometry:2 crepant:2 british:3 times:1 ahler:10 int:1 lµ:5 consequence:1 qn:4 crossings:1 first:6 mittag:1 there:13 cj:6 number:3 rank:4 twisted:8 bonnet:1 multiplication:2 multiplying:2 done:2 relations:3 another:4 ring:1 open:1 lefschetz:3 coprime:1 given:11 exists:1 introduction:1 xii:4 top:1 1z:3 system:4 xin:1 needed:1 types:1 convention:1 scheme:3 structures:2 jarvis:2 1n:4 interests:1 e36:1 hua:11 klemm:1 exactly:2 part:1 because:2 deligne:4 jiang:12 coefficients:2 finitely:1 determines:1 target:1 cyclic:2 divisible:1 sections:4 second:3 preparation:1 xi1:1 sweden:1 classes:3 str:9 were:1 tβ0:2 gives:3 threefold:1 bouchard:1 conjectural:3 rewrite:1 explicit:1 argument:2 curves:4 wiesbaden:1 need:1 seen:1 st:1 any:1 viewed:1 warsaw:1 lie:1 bz3:2 depending:1 conjecturally:1 asserts:1 latter:1 polarization:2 sciences:1 k1:26 potential:9 take:1 forces:1 predicted:1 xi:17 coincide:4 tbm:2 formulas:1 sm:6 trace:1 normal:1 sl:1 χtop:6 extending:1 birational:1 plan:1 significant:1 pair:2 future:1 class:11 exponent:1 mumford:4 surprising:1 kj:26 clear:4 µz:1 cover:3 fx0:4 kns:2 giving:1 bracket:1 bzb:4 exp:6 bzn:14 kx:2 physics:4 madison:3 tb1:2 supported:2 notations:1 ki:3 postdoctoral:1 decompositions:1 find:4 eigen:2 q1:1 q0:1 q2:1 based:2 knowledge:1 aψ:1 explain:1 topological:4 should:2 lemma:4 only:4 explicitly:3 generators:2 factor:1 constant:2 hamiltonians:1 local:2 axiom:1 do:2 over:6 his:2 subspaces:1 notation:2 exceptional:1 dg:1 2a:1 ones:1 dz:2 symplectomorphisms:1 dx:11 new:2 compute:1 admissible:6 αk:3 prime:1 contributes:1 αm:2 arxiv:2 summary:2 qµqν:1 bertram:1 qb:4 qd:2 contain:1 qk:1 fixed:1 view:1 moduli:6 set:1 computed:2 reference:1 pµa:5 calabi:1 see:9 result:5 discussions:2 best:1 points:7 surfaces:1 tl1:3 satisfying:1 commutation:3 visiting:1 nuclear:1 review:1 case:8 written:6 determined:2 closed:1 invariant:1 geometric:4 approach:4 terms:5 wi:3 vanishing:5 comm:1 no:8 δab:1 amer:4 come:1 inertia:6 both:5 σi:40 kr:10 last:1 many:2 taking:1 infinitely:1 quantization:6 participating:1 symplectic:5 genus:21 adapted:1 tln:3 comes:1 joe:1 among:1 presumably:1 relevant:1 co:1 cn:1 cm:2 point:10 wall:1 ca:2 cohomology:14 z4:1 taylor:1 simply:1 adaptation:1 polynomial:2 respect:2 throughout:2 diff:1 considering:1 described:2 pt:1 basis:6 yau:1 observing:1 strings:1 kσi:14 due:1 been:5 pb:2 yasuda:2 pa:3 coarse:4 basic:1 pk:1 iritani:3 define:10 field:2 generating:2 aj:2 general:4 cotangent:1 concerning:1 coincides:1 convergence:1 adn:1 observe:2 covers:4 c3:1 2n2:1 c1:11 convergent:1 xiong:3 manifolds:10 applied:3 k2:3 p0:1 p1:5 evaluated:1 fontanine:1 will:5 forgetting:1 near:1 suppose:3 monodromy:1 evaluating:1 libgober:2 loop:1 ix:24 almost:1 ip:2 1z2:2 thus:2 non:3 surface:1 ii:1 cocycle:1 dual:3 c0:1 vanish:1 k0:24 containing:1 verified:1 things:1 vistoli:2 eigenvalue:1 lett:1 same:6 poincar:3 parts:1 advances:1 hierarchies:1 several:1 kn2:2 kn1:2 used:1 columbia:3 solved:1 again:3 i1:3 hand:6 purpose:1 kim:2 potentials:1 dimx:10 milanov:1 cr:2 stack:8 recent:1 kni:2 teleman:1 well:3 analysis:1 without:2 materials:2 solve:1 components:2 consistency:1 coordinate:3 arising:1 dimension:6 left:1 resz:1 λr:1 manifold:3 proposed:1 τk1:28 formula:7 v6t:2 removed:1 obtain:5 rest:1 reviewed:1 recollection:1 integer:4 summaries:1 reduced:3 note:4 generous:1 preprint:1 generator:1 cup:1 regarded:1 conclude:1 evidences:1 ruan:6 imposes:1 developments:1 easy:4 theorem:13 τb1:2 descendant:1 transformation:1 euler:3 aspects:1 around:1 represents:3 cg:4 term:3 τl1:18 mathematics:7 using:2 unique:4 τkj:2 formal:5 corti:3 necessary:1 follows:14 translates:1 δm:2 either:1 integrals:14 always:2 essential:1 mathematical:1 pαa:1 right:9 sends:1 some:7 pacific:1 b1:1 specified:2 proper:2 proofs:1 ourselves:1 provided:1 cω:1 est:4 hirzebruch:2 mosc:2 lead:1 res:1 hodge:14 2c1:2 computing:1 providence:3 does:1 decomposition:3 roch:4 forgets:1 refer:1 grassmanians:1 bg:5 2b:2 power:2 bc:2 mirrors:1 bm:2 equivalent:3 l1:7 bj:3 coates:3 shifting:1 leffler:1 hst:1 eω:3 descendent:12 monomials:4 integers:3 central:1 anything:1 constraint:1 column:4 novikov:1 discussed:2 o:1 2i:11 act:2 ti:2 pandharipande:3 road:2 morphism:1 homogeneous:3 soc:4 own:1 letters:1 h2:1 into:3 isomorphic:2 down:3 multiply:1 square:2 references:1 δk1:1 operator:7 actually:1 institut:1 homotopy:1 vafa:1 assumed:1 pairing:2 nucl:1 quadratic:7 m1:1 was:1 function:1 supercommutator:1 elsewhere:1 form:4 hp:1 forgetful:1 gauss:1 construction:4 hb:3 laurent:1 line:6 ha:3 hg:5 applying:3 evident:1 characteristic:2 insertions:1 substack:1 ωi:1 ωn:5 problem:1 similar:1 called:6 examples:1 later:1 associated:5 ag:13 af:2 defined:12 certain:4 abstract:2 describe:3 6b:1 proven:5 denote:3 xk0:3 proves:2 exist:1 corresponding:2 formalism:2 check:5 constructed:2 ni:108 functions:3 nn:6 ingredients:4 na:3 when:4 detail:1 virtual:4 graduate:1 hurwitz:10 other:3 department:2 ramification:3 ns:3 sufficient:1 vieweg:1 conjectures:1 givental:7 parametrizing:3 symbol:1 stringy:4 bundle:8 a1:2 ξj:5 ubc:2 variable:1 double:1 sides:5 structure:2 algebraic:2 implies:2 assume:1 graber:3 age:14 factors:1 curve:5 gorenstein:1 having:1 weights:3 stacky:13 n0:2 n1:11 n2:7 resolution:1 stacks:4 |
0704.2010.txt |@word hmms:5 code:3 partial:1 sch:2 chain:1 similarity:9 directions:1 roc:7 results:21 four:1 rapid:1 mnl:1 overlap:3 computation:1 helices:1 follow:1 mining:1 consider:1 relationships:4 whose:1 auc:1 overlapping:2 remarkable:1 zone:3 murzin:1 segments:1 qian:3 containing:1 finally:3 program:3 tj:1 preserved:2 alberto:1 under:2 discovering:1 include:3 divergent:1 brown:4 belonging:1 advantage:1 zhang:2 very:6 mn1:2 none:1 every:1 repulsion:1 entries:1 affect:2 blast:2 matrices:7 bryant:1 dij:3 level:3 did:3 proc:1 unusual:1 proposals:1 joined:1 hsu:1 sliding:1 large:2 vector:2 minimal:3 biological:1 markov:13 challenge:1 grateful:1 miller:2 finn:1 estimates:1 za:1 dimensional:4 approximation:1 fold:1 second:3 perspective:1 go:1 further:2 implemented:3 machines:1 residue:19 index:1 what:1 giving:1 section:2 find:2 current:2 experiment:2 indel:1 above:1 new:3 increasing:1 method:19 contrast:2 3d:1 outperforming:3 full:1 lee:3 degree:2 ranged:1 instituto:1 gathers:1 component:2 khanna:1 atoms:4 water:1 believed:1 packing:13 modelling:1 groups:1 others:1 represented:4 quite:2 equations:1 mult:4 olkopf:2 obtained:6 search:5 study:8 matsuo:3 attributions:1 prior:2 preferentially:1 w1l:2 loop:2 usually:3 opinion:2 myers:1 studies:2 hydrophobic:4 appropriately:1 tasks:1 useful:2 br:1 family:10 sistemas:1 wik:1 wij:3 highly:1 addressed:1 trained:4 apply:7 counts:4 privalov:2 tools:2 estimate:2 tertiary:6 conventional:1 cluster:1 indicated:1 probabilities:2 positive:4 mizuguchi:3 perl:1 comparing:3 compensate:1 estimated:1 opposed:1 themselves:1 assessment:1 more:19 introducing:2 th:1 outputs:2 propellers:1 constructs:1 aligner:8 tested:1 train:6 basically:2 varying:1 known:7 cases:2 aligned:12 oliva:1 insights:1 states:10 keeping:1 join:1 evolution:1 characterize:1 estimation:1 recall:9 equation:7 work:6 haussler:3 lipman:2 ij:3 obvious:1 ms:15 westbrook:1 following:2 dea:1 dec:1 example:1 numbers:3 alphabet:1 compare:6 figure:11 give:3 inaccessible:3 accept:1 sample:3 weighting:12 performed:3 14a:2 times:2 hydrogen:2 hits:1 relied:2 information:19 goal:4 rather:1 describes:1 divided:1 globular:1 utilize:2 regions:11 located:3 methodology:4 hou:3 significance:4 sik:1 sij:2 parameter:2 sil:1 profile:14 structure:32 fed:1 different:14 residues:13 applications:2 tries:1 value:1 bioinformatics:8 improving:2 data:5 annotation:2 types:1 short:3 effective:1 amount:1 correspond:1 element:3 generic:1 chief:1 so:3 allow:1 discussion:1 representation:2 sa:1 eisenberg:1 order:5 se:4 evolutionary:4 interpretation:1 produces:2 hierarchy:1 indeed:1 over:6 closeness:1 karchin:1 stability:2 engenharia:1 experiments:6 through:15 statistical:1 mentioned:1 still:1 before:2 scoring:4 machine:2 difference:2 how:3 interesting:4 coordinates:8 actually:1 better:6 attraction:1 systems:2 scop:11 hidden:13 main:3 refinements:1 correspondence:1 eventually:1 non:1 good:6 motivated:1 combination:2 janeiro:2 ya:1 propose:4 material:1 fig:7 int:1 number:12 effects:1 they:7 instead:1 oxford:1 now:1 twilight:3 bigger:1 structural:77 porto:1 name:2 usage:1 always:1 university:1 presented:1 proteins:37 applied:2 each:26 found:5 classifies:1 side:2 mean:1 subset:2 domain:2 weighted:3 financial:1 significantly:3 weight:17 ej:1 hard:1 w11:2 bradley:1 frequency:4 static:1 hydrophobicity:1 combining:2 loops:2 our:31 mapping:1 transitions:5 extract:2 special:1 out:2 leave:2 shown:10 flower:1 matrix:16 space:1 gerstein:5 since:2 research:7 increase:1 may:4 favours:1 motifs:3 newly:1 johnson:1 evaluation:1 occurs:1 shows:7 classification:4 provide:3 solvent:4 interactions:4 mmt:1 contain:1 little:1 standard:1 attributed:2 approaches:4 threedimensional:2 members:1 org:1 detecting:2 generate:1 shortest:1 improved:1 pfam:1 incorporates:1 training:9 dirichlet:2 created:1 transition:3 membership:1 bernardes:4 length:1 levels:1 assumed:1 hence:2 repeats:1 first:10 origin:1 major:2 there:2 features:2 probability:6 kernel:1 xb:1 third:1 xa:1 powerful:1 primary:4 madden:1 bhat:1 utilized:2 improvements:1 least:4 another:1 carry:1 precisely:2 quality:2 between:12 given:1 sheet:1 correlation:2 indicate:2 introduction:2 unknown:4 system:1 construct:2 remotely:1 their:7 eddy:5 intermediate:1 listed:1 multiples:1 white:1 molecular:11 structures:7 unpublished:1 gives:4 exploring:1 excellent:1 inferring:1 relationship:1 academy:2 tool:11 park:2 prediction:1 part:2 zb:1 helen:2 alphabets:1 goldstein:1 believe:5 representing:1 than:13 observed:4 altman:1 unfortunately:2 showed:3 marshall:1 database:8 measured:4 packed:2 future:1 pairwise:1 str:1 were:12 garland:1 toward:1 displays:1 files:1 motivation:2 false:5 sam:5 measure:8 locations:2 curves:13 already:3 say:1 mcgraw:2 buried:1 need:2 seen:1 null:2 any:2 mik:2 acid:10 computationally:1 built:8 efficient:1 essentially:1 latter:2 responsible:1 note:1 sciences:2 high:3 without:1 build:18 finding:1 performance:25 concern:1 mit:1 accuracy:2 even:1 added:1 multiple:8 fundamental:1 advances:1 though:1 measures:2 molecule:1 extending:1 beta:1 involving:1 wnl:3 significant:7 scripts:2 multiply:1 assessed:1 nonpolar:1 extremely:1 pages:1 probable:1 deane:5 sali:1 coppe:1 observation:1 jones:1 considered:2 ckl:8 calculated:3 stronger:1 inferred:1 traditional:1 dissolved:1 points:1 voting:2 bateman:2 fact:4 precise:1 incorporate:1 particularly:1 show:4 tkl:1 degrades:1 discovered:1 attempts:1 relation:2 haft:2 availability:1 homology:10 feng:1 based:19 knowledge:3 parameters:1 title:5 explain:1 brenner:1 inserted:1 outside:1 should:3 only:6 version:1 helix:1 developed:1 integrate:1 local:3 achieve:3 do:3 mixture:1 αkl:3 frequencies:1 de:4 trees:1 words:1 richards:1 during:1 respectively:1 becomes:1 secondary:18 superfamily:1 pearson:2 outperform:1 arxiv:1 suggested:1 patch:1 whether:1 mclachlan:1 common:2 mapped:1 identify:1 wiki:1 available:3 set:13 art:1 achieved:3 sensitivity:5 correlations:1 respect:1 distantly:1 detection:9 reinforce:1 individual:2 radius:2 result:3 close:2 best:3 chose:2 brazil:1 detect:2 ufrj:2 down:1 arguably:1 away:1 damaged:1 sites:2 tend:7 state:9 score:1 identification:1 functionally:1 use:5 simplest:1 crude:1 invariant:1 approach:4 across:1 discovery:1 preserve:1 variability:1 notice:1 recently:1 statistically:1 relative:4 web:1 joy:7 however:5 hill:2 densely:1 dmin:2 key:1 gilliland:1 analyzed:2 article:2 packages:2 problem:2 improve:5 σk:2 both:11 cos:1 last:2 reverse:1 reported:1 many:1 region:1 deletions:1 according:8 against:5 emit:1 marti:1 sensitive:2 figures:2 receives:1 attributes:1 contribution:2 argue:1 pdb:4 experimental:1 otherwise:1 among:8 relevant:1 characterization:1 corresponds:1 chakrabarti:4 m11:2 active:1 learning:3 sequences:27 cs:1 table:6 throughout:1 considers:1 expensive:1 amino:26 krogh:4 described:1 publishing:1 stretch:1 three:8 been:7 whom:1 much:3 combined:4 basic:2 utilizing:1 barrett:1 pn:1 totaling:1 define:1 davila:1 contribute:1 families:15 searches:1 precision:8 intelligent:1 hmm:5 psi:1 observe:2 stems:2 folding:1 spirit:1 present:7 case:3 explicitly:1 novel:3 nishikawa:3 outperforms:1 align:2 single:3 profiles:1 will:10 while:1 suppose:1 aviles:1 aid:2 property:8 mitchell:4 procedure:2 maximal:1 portugal:1 vol:1 thus:6 site:1 surface:2 quiet:1 rio:2 ik:1 bias:1 il:1 conf:1 protein:52 santos:1 hubbard:2 fkl:2 suggests:1 perform:3 suggest:3 cross:3 same:8 parts:1 widely:3 mixtures:1 events:1 higher:2 used:50 http:1 context:1 assignment:1 structurally:5 hand:3 average:2 mij:3 uses:2 characters:2 durbin:1 positives:5 php:1 identity:4 mil:2 relies:2 costa:1 lower:1 task:1 programs:1 changes:2 well:5 increases:1 analysis:4 obviously:1 patterns:1 observations:1 contact:1 biosciences:1 does:1 m1l:2 sets:4 position:4 model:36 researchers:2 mian:2 impression:1 proposed:3 cj:5 accurate:1 obtain:1 valuable:1 sources:1 distant:2 atomic:1 alignment:29 previous:4 adding:1 aiming:1 struct:19 density:5 similarities:1 point:1 character:1 empirically:1 improvement:2 source:1 add:1 combine:2 maintaining:1 relevance:1 remaining:3 match:4 genome:1 bank:1 explained:2 aspects:1 represents:11 evaluate:3 psa:2 comparisons:2 possible:2 cruz:1 five:3 makes:1 press:2 using:18 modifying:1 domains:2 insert:2 yb:1 helpful:1 identifying:1 follows:1 combines:1 specifics:1 altschul:3 disallows:1 specific:4 collect:1 detections:1 bourne:1 either:2 sparse:1 calibrating:1 popular:2 become:1 works:1 alignments:2 essential:1 accessible:1 scored:1 satisfactory:1 because:4 often:6 alexandrov:5 sequence:37 yeats:1 library:7 nucleic:6 avila:1 moreover:2 consensus:1 scale:1 represent:13 euclidian:1 per:3 burges:1 equal:1 inaccessibility:6 chains:1 demonstrated:2 core:13 biology:14 algorithmic:1 deleted:1 reach:1 journal:12 radial:1 dcc:1 step:5 negatives:2 although:3 output:3 dna:1 super:9 properties:25 after:1 stage:3 chapter:1 limitation:1 griffiths:1 schaffer:1 package:10 column:2 od:1 ids:1 o:1 union:1 plus:3 extension:1 neighbor:1 tailed:7 own:1 introduced:1 confidence:1 clamp:1 computational:2 sheets:2 blundell:1 into:4 within:1 functional:2 dataset:2 assess:3 phase:1 wn1:2 references:1 determine:2 derive:1 karplus:4 next:3 nowadays:1 methods:15 rely:1 coin:1 computer:1 area:1 probabilistic:1 support:3 exposed:1 approximate:1 specifically:1 gough:3 conservation:1 low:2 way:6 smola:1 was:13 therefore:8 function:8 tight:1 bond:2 form:5 forming:1 acknowledgement:1 differences:1 but:4 volume:1 construction:3 related:4 atom:1 insertions:1 cnpq:1 trying:1 true:4 builds:2 default:6 inside:1 uv:1 paired:8 below:2 those:3 critical:1 iterated:1 neighboring:1 febs:1 distribution:1 similar:4 called:6 delete:2 required:1 bmc:3 ai:1 curve:2 abstract:1 phylogenetic:2 accessibility:7 ao:1 general:1 conserved:12 initial:1 modeling:1 distributions:1 universidade:1 constructed:1 again:1 functions:1 compared:4 national:2 no:1 biochemistry:1 priors:1 when:13 application:3 other:14 functionality:1 details:1 spatial:4 test:15 most:2 arithmetic:1 conclusion:1 node:1 elements:9 generates:1 calculating:1 hcs:3 models:44 ooi:9 class:1 distance:8 ultimately:1 variation:1 emission:4 important:4 graphically:2 homolog:5 vein:1 network:1 building:8 remote:12 algorithm:8 assume:2 values:2 baker:1 acids:22 pseudo:2 together:6 having:1 itself:1 weights:11 outperformed:1 time:1 validation:3 original:2 normalized:2 |
0704.2011.txt |@word precise:1 partial:7 represent:1 lagrangian:5 results:10 illustrated:2 milc:7 follow:1 expressions:1 contributions:3 poorly:1 depend:2 πσc:1 tr:13 undetermined:1 environment:1 critical:1 those:4 th:1 analogous:1 presentation:1 ingredient:1 applied:1 confirmation:1 amplitudes:5 far:4 rise:1 seemingly:1 wave:5 print:1 ultraviolet:1 experimentally:2 emphasized:1 leads:3 mξ:2 did:1 turns:1 applicable:1 large:6 tsushima:1 unrelated:1 manifestly:1 recio:1 enjoy:1 dilute:1 consistent:12 prediction:2 approximation:2 second:3 subtle:1 further:2 dynamics:6 estimated:1 quite:5 theory:2 spectral:15 established:3 dial:1 richard:1 expressed:1 steiner:2 annals:1 contributes:1 contrast:2 3d:1 body:4 antikaons:1 exchange:4 respectively:1 unobserved:3 spacing:1 residual:2 here:1 understanding:1 mev:34 ansatz:3 address:1 ver:1 strong:1 equations:2 appears:1 obtained:6 lipkin:2 lemmer:1 shift:3 study:3 dominantly:2 typically:2 ramos:1 resulting:1 procedure:3 resonance:11 implement:1 narrow:2 studies:2 extrapolations:1 discontinuous:3 manohar:2 sextet:1 9f:1 summation:7 apply:1 meson:13 m2π:2 propagators:1 linearly:1 use:5 would:3 covariant:1 played:1 optimize:1 process:1 nucl:9 decuplet:11 qcd:5 mysterious:3 type:1 theoretical:2 more:1 separated:1 flat:1 clearly:1 binding:2 naive:1 apparent:1 nieves:1 hofmann:1 particular:4 hole:5 sibirtsev:1 blocking:1 must:1 topic:1 account:1 challenge:1 work:1 mk:1 reproduce:4 values:11 arrive:2 example:2 numbers:1 dedicated:1 renormalization:4 indicated:1 predict:3 states:8 pushed:2 performed:1 tab:2 counting:1 absolute:1 influenced:1 needs:1 rather:1 carries:1 recovers:2 very:1 acta:1 guarantee:1 parameter:5 exemplify:1 description:2 may:9 after:1 derived:2 regularization:1 reflect:1 d64:1 hayashigaki:1 representations:1 choice:2 revealed:1 fm:7 constants:3 natural:2 dynamical:1 effective:1 computations:3 light:2 counter:7 explicit:1 su:6 lengths:1 extrapolation:4 so:5 increasing:1 representation:2 okun:1 order:5 gµν:2 helv:1 interpretation:1 feedback:1 nucleon:10 indeed:1 pointed:3 move:1 distortion:1 affect:1 existence:3 cold:4 suffer:2 its:1 derive:1 how:1 energies:5 masses:36 decreases:1 better:1 attraction:1 microscopic:1 fig:7 mail:1 main:3 cls:1 mn:1 non:5 good:1 squares:1 exhibiting:1 repulsive:1 effects:1 they:2 now:1 discuss:4 nor:1 densities:1 term:3 profound:1 fully:1 university:1 2d:1 realistic:1 2f:4 wong:1 mode:6 reasonable:2 found:1 characterized:2 mean:2 rajasekaran:1 darmstadt:1 schemes:1 significantly:2 density:8 energy:6 related:1 solution:3 isospin:4 expect:1 amsterdam:1 quantum:1 our:2 out:4 shown:6 dominates:1 space:3 jump:1 since:5 crucial:5 content:1 similarly:1 vector:2 dominated:1 amplitude:3 performs:1 m2d:1 induced:2 evaluation:2 mλ:1 numerical:1 mπ:3 mσ:2 interactions:1 mω:1 differ:1 possibility:1 quark:7 small:3 dependencies:1 complicated:1 besides:1 put:1 estimate:2 c52:1 interaction:2 chiral:22 persists:1 turn:4 length:1 unknown:1 consequence:9 first:7 exotic:7 staggered:2 symmetry:1 striking:4 powerful:1 number:1 thereof:1 channels:5 will:3 smaller:1 c59:1 schaffner:1 open:4 size:3 given:7 perturbation:1 their:4 introduction:1 leading:2 system:2 least:2 needed:1 intermediate:1 biased:1 scheme:1 eur:1 recovered:1 gives:1 free:3 pecs:2 baryon:36 tool:1 continuous:1 took:1 immediate:1 direct:1 silvestre:2 part:2 mizutani:1 than:1 tex:1 holland:1 zero:2 modelled:1 matter:13 determined:2 str:1 linear:2 lines:2 dynamically:2 spectrum:2 manner:3 mishra:1 distorted:1 b487:1 seem:1 demonstration:1 orders:1 c70:1 self:31 c74:1 high:1 concerns:1 absorbed:1 take:1 forces:1 neither:1 reactions:1 channel:10 even:1 play:1 differences:1 altered:1 collaboration:6 molecule:1 most:3 involving:1 charm:7 but:2 significant:1 baryons:3 probes:1 treats:1 clear:1 later:1 vertices:2 typeset:1 points:2 talk:4 physics:8 fitted:2 quantity:1 sector:1 thomas:1 swave:1 show:2 infrared:9 notations:2 attempts:1 solutions:1 hungary:1 analogue:1 trivial:1 d0:5 ground:2 q3:1 q2:5 based:6 q4:2 parameters:8 merges:1 explain:1 should:3 aubin:1 bernard:1 only:5 ambiguity:1 factor:1 unravel:1 b278:1 dn:3 do:1 dominant:1 gev:25 wide:1 dd:3 de:1 cannot:1 during:1 interpreted:2 ds:17 processes:1 establish:1 continuum:2 fields:1 linearity:1 arxiv:1 twice:1 predicted:7 reveals:1 requirement:1 set:3 fair:2 observed:1 see:2 in20:1 bare:1 result:3 close:3 bielich:1 momenta:2 incorporating:1 awaits:1 b368:1 µu:1 nuclear:17 review:1 malfliet:1 state:6 various:1 d51:1 justified:1 d53:1 approach:10 speed:1 available:3 gegelia:1 terms:10 reproduced:1 relative:1 importance:2 component:1 overestimates:1 were:3 weak:1 however:3 extent:3 suppressed:1 improve:1 suggested:2 both:1 improved:1 σc:3 many:5 taking:2 uncertainty:1 brac:2 propagation:1 subthreshold:1 argue:1 kaplan:1 experimental:2 detailed:3 adjusted:1 relevant:2 key:1 point:2 amazingly:1 dimensional:1 pole:1 confirmed:2 table:1 considering:1 broadening:1 asks:1 lattice:7 due:2 b585:1 workshop:1 b582:1 expected:2 topics:2 b426:1 lett:10 σk:2 decomposed:1 arises:1 retrospect:1 observable:2 quantities:1 concerning:1 krause:1 bulk:1 weise:2 observe:1 present:3 case:2 novel:1 solid:1 straight:1 value:2 employ:1 behavior:4 error:1 balance:1 leaves:1 loop:10 studied:1 coupled:7 thus:2 couples:4 im:1 different:1 perform:1 suggest:2 any:1 shifts:3 pauli:1 finite:1 higher:1 development:1 independent:2 used:8 lutz:17 effect:2 hand:2 dashen:1 infinite:1 recent:4 weakly:1 modes:1 b259:1 minimize:1 b175:1 well:5 analysis:2 c61:1 consistency:13 gsi:2 programm:1 latter:11 b193:1 b195:1 less:2 moments:2 obtain:1 reviewed:1 λc:5 plagued:1 predicts:1 flavor:2 scattering:10 yet:1 previous:1 unique:1 field:3 scales:2 except:1 day:1 apr:1 other:1 m2ρ:1 attractive:1 theorem:1 relevance:1 role:2 momentum:1 identical:3 saturation:6 aspects:1 manybody:1 spectacular:1 rules:1 evaluate:1 couple:2 advocate:1 possible:1 using:1 poses:1 prominent:1 g31:1 imposed:4 tolos:1 systematically:1 performing:1 collect:1 become:1 kolomeitsev:3 smoothly:1 resonances:11 some:1 b0:5 examples:1 conclusions:1 uncertainties:3 provided:1 scale:12 ellis:1 broad:3 quarks:4 octet:12 mesons:15 does:1 decomposition:1 b633:1 economical:1 bd:3 bf:3 σπn:2 jumps:1 d70:1 expansion:5 leptons:1 imaginary:1 properties:14 hadron:7 about:4 kinematical:1 exotics:1 algebraic:1 discussed:5 dependence:16 simulation:4 range:1 µir:6 dalitz:1 germany:1 sensitively:1 kaons:1 converging:1 rev:11 strangeness:1 presence:4 into:5 within:3 three:3 appropriate:1 references:1 scherer:1 determine:2 operator:1 gignoux:2 theoretically:1 existed:1 additional:1 assumed:2 justifying:1 there:5 long:2 strict:3 much:1 low:3 way:1 discontinuities:1 forward:1 was:7 assumes:1 function:6 medium:2 north:1 complete:1 adjusting:1 distortions:1 schwerionenforschung:1 collected:1 delta:1 convergence:4 antikaon:2 hyperon:1 truncation:1 charmed:1 arranged:1 up:4 ur:1 limit:4 distribution:5 strongly:4 gesellschaft:1 ad:2 wyld:1 influence:1 exist:1 dλ:1 simulations:3 formalism:1 distributions:6 physical:8 functions:4 compared:3 dotted:1 no:2 amounts:1 nc:2 detail:1 application:1 valid:1 planck:1 coupledchannel:2 department:1 jenkins:4 offered:1 poor:1 picture:1 briefly:1 in9:2 excitation:2 in4:1 time:1 generated:2 important:5 suited:1 a6:1 reservation:1 structure:5 correlated:1 coupling:4 pion:16 garcia:1 sigma:3 required:1 dσ:1 together:2 implied:5 mass:25 nelson:1 resembles:1 dover:1 requires:1 once:2 |
0704.2013.txt |@word gr:2 remarkable:1 four:3 sergey:1 scalar:4 follow:2 expressions:2 issues:1 consider:1 calculate:4 bx2:4 reissner:1 th:3 string:1 straightforward:1 zhang:1 very:4 rise:1 choice:3 solution:3 inspection:1 periodicity:2 direct:2 cosh:2 second:2 substitute:1 giving:2 section:2 agrees:1 version:3 farese:1 above:1 new:2 method:9 divergence:2 here:1 odintsov:1 objects:1 sinh:2 others:1 equations:2 extreme:1 obtained:1 instituto:1 studied:3 resulting:2 makes:2 jackiw:2 useful:1 br:1 apr:1 wit:2 txy:4 txx:5 apply:2 circumvent:1 use:5 qed2:1 intensively:1 remains:1 few:1 therefore:2 m2:3 sort:1 flat:2 neglected:1 apparent:2 curvature:3 hilger:2 particular:1 known:2 hole:7 must:1 work:1 theories:2 salas:1 zhao:1 example:1 ma1:1 cosmological:1 give:1 calculation:1 relativistic:2 organized:1 csm:2 information:1 regularization:2 write:3 how:2 parameter:2 description:4 singular:1 after:1 dx2:6 plane:2 lat:3 txµ:1 geometrical:2 fursaev:1 constants:1 stress:1 caixa:1 explicit:1 so:2 fundamental:1 amit:1 order:1 symbols:1 course:1 y2:1 its:3 lf:1 regions:1 nordstrom:1 ln:1 interesting:1 coordinates:13 meantime:1 choose:1 main:1 non:4 good:1 motivated:1 janeiro:2 framework:1 effects:2 singularity:17 now:2 easily:1 backgrounds:1 2d:1 2m:17 carlos:1 eh:2 ed:2 energy:5 related:3 combining:1 quantum:9 our:1 approximated:1 avoided:1 eq:1 shown:1 since:5 wick:1 math:1 shows:1 christensen:1 theory:3 ısica:1 possibility:1 besides:2 hand:1 temperature:7 r3:1 geometry:2 starts:1 ds2:11 ds2f:3 motion:1 consequence:1 first:1 informations:1 already:1 features:1 variables:3 defects:1 angular:3 given:1 rewritten:1 introduction:1 system:1 dt2:2 collapse:1 schwarzschild:6 exactly:1 solodukhin:1 part:2 authors:1 x2:14 than:1 approximations:2 zero:1 motivation:1 correction:1 curved:1 complete:1 gravity:5 fabbri:1 note:4 modulus:1 trace:1 regular:5 ufrj:2 calculated:2 adopt:1 implications:1 quantity:2 2m2:1 show:4 supported:1 purely:1 solutions:2 find:1 only:1 going:2 black:7 rich:1 factor:3 interested:1 do:1 de:3 dy:6 dt:3 dr:5 ds:1 fields:1 arxiv:1 navarro:1 emt:9 qc:2 mapped:1 inside:1 redefine:1 see:3 result:4 terms:3 brazil:1 gravitation:2 tensor:6 federal:1 review:1 written:1 conditions:1 αt:3 2αr:1 article:1 suppressed:1 both:2 region:1 faperj:1 bristol:2 filho:1 expression:8 otherwise:1 wald:2 relevant:2 simple:4 ca:1 kretschmann:1 semiclassical:3 described:2 three:1 been:2 int:1 dρ2:5 basic:1 expected:3 define:1 direction:1 tµν:1 quantities:3 understand:2 c3:1 c2:1 c1:1 c5:1 c4:1 case:1 look:1 pacs:1 value:6 will:5 near:10 behavior:1 tunneling:1 conformal:4 taking:1 metric:18 ii:1 rio:2 itself:1 teitelboim:1 conical:12 make:3 radiation:1 same:3 schwarzchild:3 parts:1 avoids:1 dimensionless:1 finite:1 difficult:1 used:2 numerical:1 effect:1 tµµ:1 spacetime:4 well:2 without:2 solve:1 components:6 coordinate:3 model:2 dimension:1 comment:1 8πm:1 just:2 less:1 being:1 obtain:5 rotation:1 16m2:4 conclusions:1 nojiri:1 valid:2 lett:1 easy:1 transformation:1 momentum:5 bidimensional:1 real:1 aspects:1 possible:2 background:1 using:4 postal:1 mod:1 dimensional:5 particle:1 follows:1 balbinot:1 become:1 works:1 reduced:1 methods:1 classical:1 some:2 back:2 understood:2 recently:1 dimensions:4 avoid:1 does:1 provides:3 kruskal:9 although:1 found:1 commun:1 dependence:2 o:1 covariant:1 horizon:17 presence:1 within:1 obtaining:1 references:2 proportional:2 dimitri:1 hep:3 there:4 approximate:3 long:1 start:1 conservation:1 way:4 was:1 hawking:5 form:3 funda:1 2πb:1 compute:2 regularized:1 minkowski:1 gravitational:1 2πm:1 us:7 below:1 limit:4 problem:1 associated:4 defined:1 abstract:1 describe:1 ar:2 universidade:1 physical:4 again:1 no:4 when:3 field:4 other:2 becomes:1 massless:3 conclusion:1 polar:1 zheng:1 calculating:1 models:4 meaning:1 important:1 structure:1 implies:1 ghosh:1 dτ:5 eαr:2 holes:1 4m:2 time:3 starting:2 original:1 |
0704.2014.txt |@word neighbors:2 represent:3 gt:1 semantic:1 consider:28 limited:1 lack:22 ours:4 results:4 illustrated:1 bayesian:4 prefix:30 concept:2 generalize:1 gb:1 ga:1 edu:1 consists:9 partial:1 gm:9 worked:1 epistemic:1 payoff:9 nested:1 whose:2 certainly:3 depend:4 system:1 γs:2 c7:4 tt:1 deterministic:1 containing:1 prefixes:3 finally:2 program:1 c5:4 γm:39 under:7 discovering:1 γb:13 nodes:3 include:5 necessary:1 summarizes:1 straightforward:2 very:1 desirable:1 implicitly:4 tecnol:1 corollary:5 every:32 rationality:1 decide:2 conception:1 difference:2 semantically:1 condition:9 treating:1 four:1 school:3 presented:1 did:6 issue:4 conceive:1 companies:1 solution:5 replaced:2 deals:1 vector:2 recall:15 down:2 piccione:1 enforce:1 unaware:20 context:2 strongly:1 sion:1 says:5 dealing:3 direct:1 literature:2 strategically:1 past:1 second:5 profiles:3 further:2 investment:2 canonical:2 even:24 what:44 plays:6 appear:1 consumers:1 incompatible:1 giving:1 section:14 remain:1 expressed:1 networks:1 cell:4 allowing:4 version:5 suspect:3 issues:3 above:1 new:2 construction:1 advance:2 ever:1 consisting:6 contrast:1 satisfy:2 ozbay:4 full:2 notions:2 concepts:3 modify:2 interested:2 here:11 understanding:4 highly:1 contemplate:1 explore:2 focused:2 strategies:40 represented:1 along:1 quite:4 implicit:1 interpret:2 depended:1 remark:3 generalizing:1 weinstein:3 technical:3 involved:1 studied:1 allows:3 completely:4 contradiction:2 prior:4 amount:1 resulting:1 stanford:2 ctc:1 action:4 subsequences:1 bob:2 proof:3 changes:5 payoffs:12 uniquely:2 appropriately:2 via:1 useful:1 br:1 extra:1 apr:1 problematic:1 applying:1 replace:5 order:5 flexibility:1 analogous:1 analyzing:1 rσ:1 apply:3 seventeenth:1 environment:1 use:8 subsumes:1 proceed:1 would:16 prove:2 probabilities:3 positive:3 continuous:2 etc:1 chooses:1 induction:2 next:2 ufpe:1 m4:1 explicitly:6 call:3 therefore:6 m3:6 m2:2 associated:1 markets:1 tell:1 diagrams:2 more:27 extent:1 introducing:1 formally:7 knows:12 iis:1 relax:2 becomes:7 gi:10 aware:93 particular:3 known:2 foundations:1 cases:7 hold:5 iii:1 γa:11 capturing:1 must:20 states:3 account:2 isomorphism:1 science:2 work:13 mh:36 measures:2 believes:26 labeled:8 paragraph:1 syntactically:3 learn:2 following:12 making:5 example:25 history:67 subtleties:3 compare:1 impose:1 figure:16 stated:1 distributions:1 arise:5 tax:1 purposes:1 agent:21 involve:2 pages:2 assumptions:2 reviewing:1 want:6 sense:9 intuitions:4 lacks:1 conversely:1 occur:1 weaken:3 information:84 end:2 goal:1 syntactic:1 provide:6 discussion:1 holds:3 differences:2 american:1 delay:1 how:11 pure:4 symposium:1 inappropriate:1 profile:7 map:1 product:2 informa:1 description:5 transforming:1 after:16 variant:1 mapping:4 collection:4 objectively:1 consequence:1 osborne:4 bear:1 cambridge:1 requirements:4 revealed:2 response:8 included:1 drop:5 gluing:1 remember:2 grant:1 explicit:2 correspond:4 element:2 rather:4 fagin:3 so:25 realizes:1 allow:14 decreasing:1 representation:21 increase:1 playing:17 superscript:1 restriction:2 interpretation:4 coordinated:2 hierarchy:1 indeed:3 over:7 move:46 satisfied:1 interpreted:1 course:6 paper:9 through:4 japan:1 satisfies:3 still:6 itr:1 its:3 before:7 perfect:12 eui:4 probability:22 maps:2 multiagent:4 interesting:2 multidisciplinary:1 actually:8 late:1 h2:15 html:1 systems:3 koller:1 mail:3 might:7 easier:1 correspondence:2 lipman:1 them:2 ahi:3 greater:1 views:1 similar:4 practice:1 impossible:1 runs:16 uhi:1 framework:8 they:17 now:10 discuss:3 nor:1 represents:2 gets:2 randomized:1 falsely:3 always:2 university:4 level:23 identified:1 sufficiently:1 iff:13 differing:1 reasonable:5 each:37 found:1 organized:1 side:1 characterized:3 constraints:2 subset:4 domain:4 financial:2 directly:1 initiative:1 subgame:2 doing:1 list:4 hard:2 feinberg:16 idea:4 related:2 applicable:1 equivalence:5 extended:3 perspective:1 refinements:2 measure:2 our:36 happen:6 tenth:1 special:6 intended:1 try:3 shown:5 network:1 3rd:1 space:5 herself:1 restricted:1 since:22 research:1 content:1 may:54 encourage:1 rational:1 reader:1 wilson:1 induced:2 evaluation:1 she:15 c11:2 theory:9 state:5 easily:1 little:2 possibility:9 standard:31 approaches:1 formalize:1 complicated:1 conditioning:1 besides:1 org:1 remainder:1 nonterminal:3 care:1 definition:21 pairs:5 prepare:1 language:2 combining:1 could:5 similarly:4 turn:2 length:2 fc:14 ambiguities:1 exponentially:1 incorporated:1 removing:1 hence:1 retain:1 generalizations:2 think:4 first:9 geographically:1 intuition:12 already:2 features:1 simply:1 edges:2 clause:1 number:7 explored:1 strategic:4 restrict:2 intuitively:21 multiplying:1 done:2 defects:1 another:4 fi:1 onr:2 reached:3 electronic:1 several:1 manuscript:10 given:9 necessarily:5 hedging:1 likely:1 needed:5 introduction:3 leading:1 interact:1 πi:1 equilibria:9 least:6 their:9 attack:2 assumption:11 too:2 passed:1 restrictions:1 perfectly:1 structures:3 speaking:2 gives:4 imperfect:3 preclude:1 relationship:3 tuple:3 yildiz:3 numbers:1 exactly:2 immediate:1 technique:1 part:13 somewhat:2 natural:1 believe:8 representing:4 than:6 semantics:1 fch:4 finitely:2 determines:1 reason:1 showed:4 gotten:1 require:13 tree:8 depends:5 matter:2 subsequence:2 determined:3 kth:1 were:7 tion:1 interactive:3 false:8 behavior:6 investors:1 unchanged:1 generalization:4 say:3 need:14 seem:5 any:4 viewed:6 relatively:1 generalizes:1 smallest:1 depending:2 efficient:2 convenient:1 latter:1 able:5 ideas:1 note:8 high:1 chess:7 objective:1 techniques:5 mit:1 belief:3 play:12 regard:1 unless:2 normal:8 knew:2 reach:1 leave:1 most:5 learns:1 encodes:2 significant:3 preliminary:4 pair:4 future:3 probabilistic:2 why:5 understands:6 cause:1 give:2 especially:1 consequences:1 dom:5 considered:3 clear:4 partition:4 implications:1 unreasonable:2 dod:1 stating:1 countable:4 ways:2 σb:8 principle:1 omit:1 dispersed:1 left:1 prisoners:1 notion:11 fact:8 choose:1 precise:1 γh:69 dynamic:1 particularly:1 show:8 supported:2 halpern:15 large:4 relation:2 solutions:1 keywords:1 leandro:2 trivial:2 find:4 deci:1 impact:3 current:1 based:14 knowledge:45 series:2 situations:5 explain:1 hope:1 distributed:2 histories:61 should:11 terminal:3 only:26 going:5 lodge:1 moses:2 local:18 pointed:1 awareness:109 equilibrium:64 do:25 his:15 handle:6 closed:1 notation:2 get:2 dependent:1 de:2 trees:3 joint:1 cannot:14 actions:5 mention:1 despite:2 report:2 during:1 him:2 enemy:4 regarding:15 initial:3 settings:2 conditions:15 arxiv:2 remove:1 twice:1 optimally:2 common:41 contain:3 distant:1 previous:1 anticipate:1 view:25 requirement:10 set:101 modulo:1 exists:16 hν:1 intelligence:2 unpublished:10 uses:2 proc:3 augments:1 see:10 computer:2 result:2 existence:1 forthcoming:1 theoretic:1 alternative:1 best:8 n00014:3 brazil:1 said:1 consistency:4 federal:1 arguably:1 review:1 currently:1 artificial:2 coordination:1 enough:5 unable:1 correctly:1 between:6 si:3 neither:1 avoidance:1 approach:10 across:2 available:20 never:1 recently:1 extend:5 nature:27 initially:1 analogues:2 attention:1 focus:4 however:13 add:6 key:2 distinguish:1 modeling:8 come:1 problem:1 improve:1 suggested:1 both:16 essentially:5 folding:1 limits:1 ıfico:1 taking:5 uncertainty:12 according:1 contract:1 called:5 cornell:3 games:100 receives:4 logic:3 argue:1 whole:2 nearby:1 among:4 relevant:2 author:2 point:12 simple:1 guaranteed:1 others:1 presumed:2 cf:1 alone:1 grants:2 agents:25 applicability:2 sequences:2 cs:3 moreover:16 li:4 considers:27 appeared:1 considering:6 better:1 described:8 generality:2 leads:1 agree:4 union:2 three:1 been:6 strategy:35 ai:13 cient:1 describes:7 change:9 interest:3 omniscient:2 expected:1 flexible:4 topology:1 universal:1 important:2 differently:1 graphical:1 corresponding:3 easy:6 received:4 formed:1 σi:28 c13:1 c9:4 c8:5 understand:12 stems:1 c3:4 c2:20 c1:9 rubinstein:7 assigning:1 c6:7 those:3 c4:3 case:14 multi:1 guarantees:2 uncertain:2 processes:1 unlike:1 defining:1 contingencies:4 strict:2 value:1 alter:1 will:20 while:11 proves:1 suppose:8 shall:1 applies:1 stopping:1 situation:8 revisited:1 property:1 σa:8 identical:4 played:11 almost:2 endowed:1 metric:2 ir:3 thus:25 concatenation:1 ii:12 player:139 good:1 turns:1 ia:1 ib:1 technology:2 capture:13 different:22 ing:1 players:65 perhaps:1 suggest:1 make:19 maid:1 indistinguishable:2 same:59 clearly:2 member:2 compact:5 parts:2 figures:2 finite:14 higher:3 restricting:1 independent:2 used:6 http:1 assigns:2 i1:5 i2:6 upon:2 effect:4 nid:5 hand:3 domains:1 levels:8 moving:9 infinite:1 suffix:3 totally:1 single:3 ijcai:1 weakening:1 suffices:2 programs:1 nevertheless:2 makes:10 modeled:1 well:8 roughly:2 analysis:1 non:2 thought:3 without:7 does:19 components:3 sets:25 position:1 model:22 modeler:32 scholarship:1 construct:1 just:15 less:1 being:10 captures:6 accurate:1 rest:1 proposes:1 underlying:41 identify:1 behind:2 ogico:1 pruned:1 graduate:2 typical:1 yet:1 captured:1 projection:1 adding:1 dropped:2 infinitely:1 thinking:1 ease:2 characterization:1 seems:5 except:6 nacional:1 signals:10 suddenly:1 analogue:6 other:25 board:2 versa:1 theorem:5 relevance:1 c12:2 extensive:26 c10:5 reinstate:1 hav:1 take:4 real:3 defection:1 aspects:5 sequential:6 government:1 conclude:1 evaluate:1 showing:1 possible:35 corresponds:1 possibly:5 game:297 know:5 ultimately:1 press:1 using:9 variants:4 searched:1 formal:1 loss:1 modifications:2 mhm:3 imposed:2 like:4 mhh:10 follows:11 qualitative:1 alice:3 continue:5 steps:1 either:9 fully:2 become:4 essential:1 muri:1 because:5 theorists:1 deal:13 sequence:4 confused:1 some:31 back:1 econometrica:2 understood:1 economic:7 examples:1 respect:1 a11:4 indirect:1 proofs:2 thinks:9 happens:3 provided:1 describing:4 realistic:1 dropping:1 decision:4 though:2 meier:4 active:1 when:12 critical:1 exposition:2 provides:1 assuming:1 pernambuco:1 many:7 analyzed:1 conselho:1 refer:2 conference:3 who:18 run:5 business:2 performed:2 aws:1 journal:2 arbitrary:1 continuing:1 step:3 although:17 contracts:1 major:1 includes:1 properties:3 earlier:3 simpler:1 about:35 actual:13 diagram:1 extension:1 constraint:1 theorems:1 discussed:3 desenvolvimento:1 acm:2 compatible:3 distinct:1 involving:1 greatly:1 modal:1 mixed:5 shared:1 observation:1 slightly:1 pfeffer:4 block:1 plan:2 considerations:1 computational:3 dilemma:1 presence:2 ahj:2 into:4 h1:26 refines:1 nsf:1 accommodate:1 complaints:1 appropriate:7 references:1 determine:3 a8:12 operator:1 refined:1 modica:2 forget:1 utility:3 m5:1 statistics:1 additional:3 her:7 assumed:12 suffice:1 there:54 long:3 fcm:2 start:2 solving:1 joseph:1 way:3 brazilian:1 m1:5 analyze:3 was:13 war:2 assumes:6 function:9 γi:1 himself:4 complete:4 form:17 insurer:1 something:1 great:1 becoming:1 converse:2 but:18 principles:1 subjective:14 repeated:1 hi:7 encoded:2 cnpq:1 role:1 true:20 he:62 directed:1 made:11 compute:2 surprising:1 consist:1 versions:1 whether:6 type:3 up:2 us:6 theoretical:1 international:1 ui:10 iterated:3 utu:1 distribution:4 define:11 ua:2 beliefs:21 ub:2 detailed:1 abusing:1 later:1 replacing:2 computing:4 defined:4 certain:3 abstract:1 describe:11 influence:3 general:5 engineering:1 associates:1 associating:1 rule:1 exist:3 moves:118 identities:1 check:2 defines:3 incorrect:1 again:4 functions:1 lo:1 weakened:3 no:22 administered:1 individual:1 peace:1 generally:1 virtual:26 reality:1 default:6 definitions:1 setting:8 electrical:1 details:4 dekel:1 papers:1 department:2 announcements:1 out:4 realize:3 conclusion:1 node:16 briefly:1 elements:2 denote:4 a10:8 a12:10 models:5 chaves:1 behavioral:2 problems:2 utilities:2 much:5 a1:4 class:4 a3:5 a2:2 a5:9 a4:11 a7:5 a6:3 a9:3 generalized:42 kreps:1 structure:4 implies:5 longer:4 calls:1 vice:1 assume:14 typically:1 required:1 reasoning:4 together:3 indirectly:1 equivalently:1 gal:4 mass:1 incomplete:5 time:2 incorporating:1 management:1 nash:62 once:2 requires:4 having:3 augmented:47 |
0704.2015.txt |@word represent:2 abundances:2 sharply:1 limited:1 depends:1 crucial:1 magnetic:4 separates:1 results:3 month:2 leads:1 contributions:5 whose:2 bremsstrahlung:4 depend:1 ergs:1 young:2 tp:1 luminosity:1 broaden:1 indicating:1 lack:2 very:2 hughes:2 wave:3 electron:3 interpreting:1 blast:3 exact:1 illustrated:1 induced:3 clouds:1 positions:1 shock:26 large:9 small:1 g347:5 smaller:1 ten:1 consistent:2 estimates:1 direct:6 pasj:1 progenitors:1 past:1 surrounding:2 dynamics:1 estimated:1 gaensler:1 tev:9 spectral:5 will:8 nonlinear:1 appear:1 near:1 uniform:1 aharonian:2 goes:1 new:1 increasing:1 boost:1 acknowledgments:1 shocks:4 explosion:3 component:7 here:3 understanding:3 identifications:1 objects:1 separation:3 others:1 alone:1 along:6 strong:4 unidentified:1 receive:1 larger:2 example:2 amount:1 resulting:2 studies:1 diameter:1 apr:1 highly:2 apj:9 remnant:6 plot:1 indicated:3 would:4 remains:3 contains:1 dkpc:2 snrs:31 expanding:1 black:1 themselves:1 type:2 theoretical:1 more:4 clearly:1 becomes:3 disconcerting:1 emission:47 proton:1 glast:15 particular:4 known:2 cases:4 hold:1 account:1 phot:1 cas:1 equation:1 work:1 protons:3 modified:1 mastichiadis:1 reproduce:1 labeled:1 rim:3 values:3 thin:3 growing:1 making:1 scatter:1 mz:1 ions:9 references:1 figure:14 process:3 relativistic:3 high:15 collision:1 o:1 unveiled:1 sense:1 lazendic:2 reynolds:1 csm:2 rays:6 steve:1 provide:6 discussion:2 holds:1 steepening:1 positional:1 located:1 hot:1 low:1 egret:12 fs:4 galactic:4 description:1 may:2 after:1 derived:1 different:4 catalog:2 plane:3 snr:23 waves:1 lat:1 summarize:1 law:1 revealed:2 preshock:1 short:1 natural:1 dynamical:3 spectra:8 lines:1 accelerated:2 sn:1 increase:3 typical:2 remnants:12 produces:1 indeed:1 over:3 patnaude:1 ejecta:10 produced:1 thermal:6 through:3 galaxy:2 warren:1 observational:1 regions:6 outer:1 decay:9 energies:7 decreases:1 circumstellar:1 forms:1 detected:2 production:9 image:3 tentatively:1 good:1 dan:1 material:9 collide:1 band:3 effects:2 sweeping:1 yr:1 discuss:2 above:5 represents:1 several:5 reasonably:1 identified:1 l7:1 filling:1 kpc:1 chandra:2 mode:1 reasonable:2 radial:1 crossing:1 accompanied:4 difficult:2 characterized:1 mean:1 weight:1 energy:17 hard:2 prognosis:1 investigated:1 expect:2 year:5 separating:2 our:4 adequately:1 out:1 shown:4 dominates:1 rs:2 since:2 rx:2 angular:2 particles:12 nominal:1 dominated:5 dominate:3 shows:2 torres:2 discontinuity:3 mechanisms:6 quite:1 completely:1 formation:1 reacceleration:1 created:1 area:2 cosmic:11 times:1 produce:3 massive:1 ism:4 signature:1 view:1 first:1 major:1 probability:2 upper:1 powerful:1 number:4 approximately:1 directly:1 fluxes:2 horizontal:2 size:1 given:3 temperature:7 indicate:1 introduction:1 data:2 pspc:1 least:2 their:7 1e:1 observations:12 molecular:2 e51:2 exposures:1 shell:5 way:1 relative:1 exactly:1 accurately:1 forward:8 differentiate:3 somewhat:1 operates:1 asca:1 than:4 population:5 jump:1 target:2 discriminated:1 collaborations:1 grey:1 classes:1 100mev:1 toward:1 distinguished:1 collecting:1 synchrotron:5 addressing:1 false:1 spectrum:15 curves:1 say:1 kepler:1 unlikely:1 seen:1 seem:1 apparently:1 any:2 relatively:2 acceleration:23 strength:1 efficient:5 able:1 shocked:2 ideal:1 edge:1 forming:1 diffusive:2 becoming:1 circles:2 unless:2 index:1 most:1 connected:1 significant:7 knee:1 colliding:1 measured:1 class:1 fair:1 don:1 especially:1 koyama:2 clear:2 electrons:13 principle:1 velocity:2 constrain:1 space:1 particularly:2 show:3 text:2 detection:2 probe:2 bring:1 radii:1 radio:3 keywords:1 debate:1 decade:1 impact:1 slow:1 based:2 parameters:1 should:3 brighter:1 only:1 candidates:1 factor:4 dominant:1 gev:1 wide:2 overall:2 pions:1 closely:1 despite:1 reveal:1 evolution:1 densities:4 conditions:4 arxiv:1 yield:4 summary:1 predicted:3 including:1 approaching:1 l39:1 reveals:1 swept:4 drury:1 sensitivity:11 turbulent:1 ends:1 maximum:1 plausible:2 see:4 radius:1 result:2 enhanced:1 best:1 subject:1 detect:1 subsequent:3 away:1 nature:2 propagates:1 xray:1 behind:1 between:6 numerous:1 speed:1 discovery:1 postshock:2 comparable:1 recently:1 rims:1 importance:2 supernova:6 however:4 efficiency:2 harvard:1 extent:1 distribution:6 originates:1 suggested:1 observable:1 providing:2 reverse:4 limits:1 many:1 region:5 compton:2 heating:1 contribution:2 hwang:1 jack:1 nearby:1 strongly:1 unclear:1 fields:1 cm:4 point:4 cc:1 excess:1 corresponds:2 environments:2 cd:2 moreover:1 described:4 pw:1 capable:1 addition:2 radiative:1 been:5 confident:1 much:1 expected:9 ph:2 corresponding:1 both:2 wavebands:1 sufficient:1 gas:7 requires:1 tycho:5 understand:1 general:1 those:1 case:1 multi:3 uncertain:1 pacs:1 solid:2 intimately:1 while:5 error:1 overpredicts:1 discoveries:1 rakowski:1 losses:1 linked:1 thus:2 ellison:2 vs:1 ambient:9 ic:9 confirmed:2 make:2 radiation:2 same:1 wherein:1 potentially:3 units:1 survey:4 ray:38 higher:3 extended:2 upon:1 hand:1 ion:1 gotthelf:1 phr:1 normalization:1 recent:3 lower:1 off:3 center:1 acknowledge:1 well:6 without:2 contact:3 components:5 position:3 model:1 left:7 less:1 being:1 observed:2 sources:11 identify:1 hess:1 scattering:4 yet:1 cut:1 candidate:1 density:10 photons:2 sky:2 emphasis:1 source:7 potential:1 extends:1 associations:5 increased:2 ample:2 bryan:1 bands:4 showing:1 smithsonian:1 early:1 possibly:1 increases:1 know:1 immediately:1 accepted:1 ruled:1 like:1 particle:12 sizes:2 patrick:1 adiabatic:1 accelerating:1 flux:4 detections:2 either:1 arbitrary:1 become:1 reduced:1 right:6 ignored:1 some:6 back:2 streaming:1 b0:1 accelerate:1 escape:1 provided:3 dense:5 lead:3 broadband:3 broad:2 measurements:2 overlap:2 conservative:1 nonthermal:13 provides:2 assuming:1 moderate:1 power:1 rosat:1 expansion:3 although:3 found:1 plots:1 refers:1 properties:1 comparison:2 decelerates:1 discussed:1 chance:1 surround:1 distinct:1 range:5 act:1 hatched:1 constraints:1 gamma:3 allowing:1 cutoff:1 equally:1 faint:1 presence:5 into:8 within:1 interstellar:1 because:1 promise:2 determine:1 heated:3 speculated:1 unambiguous:1 uncertainties:3 additional:1 featureless:2 shells:2 assumed:3 there:5 long:2 detectable:3 inner:3 fraction:3 astrophysics:1 function:4 considerably:3 medium:1 form:1 compressible:1 gammaray:1 collapsed:1 but:4 astro:2 neutral:1 link:1 solar:1 line:3 considerable:3 inverse:2 builds:1 evident:1 whether:1 pulsars:1 up:7 us:1 below:4 limit:1 problem:1 similar:1 distance:1 detailed:1 gone:1 associated:4 reconcile:1 abstract:1 describe:2 evidence:14 exist:1 decourchelle:1 dotted:1 no:2 amounts:1 dashed:2 field:3 other:6 test:1 picture:1 star:2 energetic:8 emitters:1 models:4 j1713:2 enjoyed:1 variation:1 helping:1 arcmin:1 important:1 peak:1 slane:3 structure:1 l61:1 pion:13 resolution:3 age:6 required:1 curve:2 mass:2 n0:6 bamba:1 expands:1 |
0704.2016.txt |@word ibid:1 exclusive:1 reproduced:1 phenomenon:1 just:1 less:1 indeed:1 over:1 obtain:1 four:3 underlying:1 gauge:1 inconsistent:1 during:1 replies:1 mentioned:1 momenta:1 divide:1 certainly:1 group:1 treat:1 zone:1 upton:1 golterman:2 exact:2 topological:1 should:2 bernard:4 must:2 complex:1 theorem:1 main:1 might:1 identical:2 do:2 non:4 correctly:1 eigenvalue:1 universality:1 modes:1 misunderstanding:1 break:1 creutz:2 community:1 effects:2 they:1 immediately:1 symmetrically:1 matrices:1 nearly:1 represents:1 february:1 continuum:4 did:1 shamir:2 eigenmodes:1 arxiv:4 michael:1 acknowledgments:1 item:1 paper:1 common:2 corners:2 calls:1 quarter:1 processes:2 suddenly:1 respond:1 because:2 says:1 plane:1 national:1 signs:1 reduce:1 follana:1 zero:3 expect:1 loops:1 laboratory:1 transitions:1 flavor:2 wilson:1 even:1 index:1 shown:1 appear:1 erratum:1 dropping:1 quarks:1 rev:2 overlap:2 mason:1 numerous:1 does:3 various:2 above:1 between:1 before:1 issue:3 correct:1 forbid:1 mode:1 process:1 ac02:1 theory:11 power:1 publish:1 vertex:2 equivalent:1 differ:1 free:1 however:1 vanishing:1 complicated:1 multiplies:1 address:1 quite:1 appears:1 comparison:1 unrooted:2 ref:1 retained:1 reverse:1 license:1 contribution:1 root:1 taking:1 retains:1 contract:1 published:1 suggests:1 misleading:1 eigenvalues:2 passing:1 perturbative:1 studies:1 gamma:1 comment:2 major:1 staggered:8 rooted:5 symmetry:8 point:1 apr:1 chirality:3 into:2 others:1 numerically:1 number:1 rank:1 down:1 lies:1 rising:1 nonperturbative:1 anomalies:2 hpqcd:1 operator:1 respect:1 unit:1 flavors:1 manuscript:1 use:1 perturbation:1 hep:4 usa:1 lattice:2 question:1 been:1 their:5 accordingly:1 much:2 fermions:5 taken:1 hooft:3 doubling:1 98ch10886:1 energy:2 important:1 too:1 considerably:1 determinant:2 arises:1 form:2 sectors:1 fermionic:1 under:1 accurately:1 but:3 construction:1 converted:1 true:1 than:2 chiral:5 kind:1 multilinear:1 target:2 winding:2 whether:2 equation:1 work:1 appearance:1 tastes:3 theories:2 will:1 below:1 paragraph:1 limit:3 authored:1 evolved:1 many:1 following:1 field:1 problem:1 more:1 my:3 procedure:1 result:1 strongly:1 references:1 symmetries:1 taste:3 abstract:1 describe:1 purposes:1 generically:1 couples:1 effectively:1 say:1 quartets:1 seen:1 collaboration:1 fermion:4 disappear:1 physical:2 forced:1 different:1 any:1 author:1 hart:1 discussion:1 government:2 when:3 davies:1 same:1 matching:1 ny:1 concerns:1 role:1 low:1 fourth:2 sharpe:2 department:2 algorithm:2 higher:1 bilinear:1 play:1 de:1 structure:1 preceding:1 numerical:1 averages:1 differing:1 singlet:1 chiralities:1 restoration:2 amongst:1 letter:3 lat:4 account:1 class:1 single:2 especially:1 uncoupled:1 whenever:1 clear:1 rooting:4 simple:1 correspond:1 reproduce:1 properly:1 so:1 allow:1 brookhaven:1 physics:1 restored:1 brillouin:1 |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.