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0705.2216.txt |@word 3ri:1 sci:3 consider:14 funct:2 carolinae:1 global:12 results:7 existing:1 advices:1 proposition:21 overlap:7 grateful:1 mp1:1 consists:1 gn:6 gj:8 compact:20 whose:2 c0:6 depend:2 essentials:1 paris:3 technique:1 tr:1 noncompact:1 ws1:3 finally:4 present:2 elliptic:1 under:6 tf:2 analogous:1 kθ:1 norm:12 ın:1 p2:14 r12:1 jensen:1 straightforward:1 r11:1 minimal:1 implicitly:1 corollary:8 mf:7 every:26 associated:3 exact:2 condition:5 beginning:1 presented:1 did:1 notes:1 nagel:1 q1:6 item:5 vector:9 rj:1 small:2 anal:3 still:4 upper:14 des:1 says:1 haar:1 estimates:2 measurable:6 riesz:2 approximation:2 second:5 harnack:2 nonhomogeneous:1 equal:2 linear:7 even:1 aim:2 diam:1 expo:1 appear:1 euclidean:5 deeply:1 section:20 associate:1 analogously:2 wheeden:1 version:3 sur:3 above:6 sup:12 method:9 satisfy:5 devoted:1 notions:1 mem:1 l1:13 here:7 boll:1 ranges:1 desired:2 les:2 tangent:1 zygmund:13 groups:3 address:2 path:2 studia:1 strong:1 respect:2 implicit:1 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0705.2217.txt |@word secondly:1 now:4 partial:1 consider:4 chain:3 incorporate:1 bockrath:1 magnetic:2 dvsd:6 results:11 leads:9 gf:10 scalar:2 generalize:2 contains:1 grateful:1 follow:3 expressions:6 yaish:2 negf:2 hjort:1 localized:3 sch:1 pˆa:5 depend:3 re:1 assigning:1 description:1 switched:1 vs:6 removal:1 γk:23 γj:1 quasi:1 program:3 those:1 dressing:3 lin:3 include:1 tc:22 indicating:1 ın:1 kσ:15 case:17 g4:4 g3:4 g2:14 g1:6 without:2 very:1 inset:4 account:7 choice:1 blockade:20 electron:30 crosses:1 ultraviolet:1 figs:2 sidebands:5 resonant:6 experimentally:2 emphasized:1 difference:3 exact:3 wick:2 condition:1 sethna:2 treating:1 northwestern:1 school:1 vibrational:17 level:20 ref:17 michael:1 solution:2 evg:1 large:1 solved:1 kondo:30 kiselev:1 affect:1 edas:1 small:2 3b:2 langreth:4 optics:1 noted:2 degeneracy:1 smaller:2 tel:2 ten:1 renormalized:1 dealing:2 consistent:4 approximation:9 second:9 datta:2 enhancement:1 concludes:1 natelson:3 qualitatively:2 dynamics:1 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0705.2218.txt |@word secondly:1 crumpled:23 represent:1 magnetic:1 results:5 tenuous:2 milk:15 layers:16 increase:1 depend:1 technique:2 tr:1 young:1 presents:1 quasi:1 does:1 those:1 under:8 te:2 cm2:5 case:6 fax:1 supported:1 consequently:1 orthogonal:5 very:1 crumpling:11 rise:1 fat:3 resistance:1 sons:1 experimentally:1 moura:1 fractal:20 condition:1 entire:1 t2:3 t1:2 magnet:1 math:1 avoiding:1 small:1 biological:1 der:1 upper:1 grateful:1 findings:1 folds:1 direct:2 pulse:2 approximation:1 fold:1 exchangeable:1 dynamics:2 air:2 semicircular:1 section:3 selected:1 thickness:7 above:1 international:1 acknowledgments:1 compact:1 full:1 exchange:1 respectively:2 loose:1 here:8 hundreds:1 hours:1 reported:3 packing:8 protection:1 free:6 excess:1 along:4 change:1 extreme:1 obtained:7 instituto:1 exemplified:1 noticeable:1 technical:1 involved:1 study:3 studied:6 allows:1 spheres:1 action:4 resonance:1 pixel:1 york:2 diameter:12 although:1 scales:1 layer:30 highly:2 visible:1 kantor:1 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0705.2219.txt |@word migrated:1 managed:1 chile:1 represent:1 results:2 existing:1 leads:1 eccentricity:2 disc:3 ice:16 cameron:2 follow:2 transits:13 gj:21 eger:2 devoted:1 transiting:7 illustrates:1 send:1 protostars:2 presents:1 german:1 program:1 th:1 under:1 inwards:1 include:1 indicating:2 activities:1 confirmation:1 far:3 erale:1 seager:1 maness:3 24th:1 exact:1 condition:1 cool:1 four:1 school:1 presented:4 harbor:1 turns:1 list:1 eve:2 cloudy:1 large:1 participation:1 small:7 revaz:1 20th:1 claret:2 concluded:1 application:1 smaller:2 tel:2 ten:1 foundation:1 trend:1 bakos:2 htm:1 estimates:1 direct:2 located:2 likely:1 noise:2 timescales:1 profiles:1 further:3 even:3 errors:1 constitution:1 invoking:1 near:3 ammonia:2 current:2 above:4 new:1 revealing:1 layers:1 simultaneously:1 dwarf:2 meynet:1 extrasolar:1 gathered:1 iraf:1 inspiring:1 here:1 understanding:1 water:11 reported:1 objects:2 others:1 ratio:4 strong:1 equations:1 study:1 larger:4 reports:1 rocky:1 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0705.2225.txt |@word represent:1 surrounded:2 consider:4 f160:1 luminosities:17 results:9 four:11 selection:1 controversial:1 coaddition:1 winds:2 lacy:2 pids:1 disk:2 serendipitously:1 giving:1 al10:1 afonso:1 baron:1 young:4 removal:1 finally:3 smail:1 outwards:1 priddey:2 under:2 must:2 starbursts:6 conjecture:1 mpc:1 broadly:1 far:1 ja:1 fan:1 orientations:1 affect:2 voit:3 clouds:1 1000µm:3 july:1 obscuration:1 large:3 aas:1 science:3 small:2 becker:7 lynds:2 upper:4 ionize:1 l93:1 haas:2 consistent:6 detection:5 direct:1 likely:4 further:2 ivison:1 targets:1 canalizo:2 spectral:2 errors:2 sub:2 wide:1 cycle:1 ned:1 selected:2 while:3 debate:1 rieke:2 method:1 supporting:1 full:1 simultaneously:1 measurements:1 respectively:3 iraf:1 here:2 ionization:3 objects:26 focused:1 free:1 active:1 along:3 strong:2 observing:1 institute:3 involved:1 ast:1 prior:1 preferentially:1 survey:2 california:3 narrow:1 pixel:1 reichard:2 via:3 spatially:1 stockton:2 merely:1 cte:1 apj:21 aimed:1 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0705.2226.txt |@word peacock:1 l17:1 consider:1 issued:1 luminosities:1 results:5 hyper:1 higher:4 go:1 remarkably:1 voids:1 cases:1 relationships:1 adelberger:2 afonso:1 lucchin:2 vs:1 editors:1 program:1 indicate:1 those:2 stable:5 include:1 starbursts:1 amplitudes:4 mpc:5 dey:1 very:1 choice:1 lockman:1 fall:1 qsos:2 presented:1 did:1 large:6 sand:1 equation:1 georgakakis:2 upper:2 consistent:3 elegant:1 photospheric:1 timescales:1 croom:3 even:1 what:2 appear:1 selected:3 current:1 coles:2 l127:1 increasing:2 acknowledgments:1 evolving:1 full:1 erb:1 irac:1 b2s:5 richest:1 here:4 ranges:1 explore:1 objects:1 strong:1 benson:1 convert:1 thirty:1 institute:1 study:2 baryonic:1 through:1 aω:5 survey:1 gear:1 published:1 usually:1 california:2 adopting:1 shaded:1 followed:1 2000b:1 family:2 photometric:1 specified:1 names:1 stern:1 buildup:3 counts:1 total:3 franx:1 select:2 reddy:1 plot:1 use:3 flaws:1 figure:3 usa:3 remains:1 predictions:2 intense:2 few:1 therefore:4 luminosity:1 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0705.2227.txt |@word limited:2 secondly:1 interference:2 global:3 results:10 leads:4 consists:1 follow:6 expressions:1 denotes:1 localized:10 caveats:1 wavepacket:1 deterministic:2 environment:14 lower:2 must:4 manifolds:1 under:14 stochastic:3 include:1 case:5 lack:1 very:5 induce:1 focus:1 lyapunov:5 putting:1 interpreting:1 govern:2 difference:2 exact:1 condition:26 dominate:2 hamiltonian:5 turns:1 solution:1 large:12 dealt:1 small:10 referred:4 prevent:1 employing:1 force:3 deutsch:3 foliating:1 consistent:1 eλt:1 strunz:2 approximation:2 second:9 further:1 dynamics:21 accompanying:1 quite:2 even:2 established:1 what:5 nonlinear:2 appear:1 rate:4 d2:1 section:11 8m:1 brief:1 uniform:1 cell:1 absolute:1 above:10 new:3 ever:1 method:3 contrast:1 satisfy:5 edited:1 8f:4 realizations:2 khanna:1 here:6 understanding:1 reported:1 explore:2 focused:1 address:1 alone:1 along:1 strong:62 observing:2 obtained:1 averages:1 study:1 larger:4 allows:1 experience:1 prior:1 resulting:1 alamos:1 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0705.2229.txt |@word monterey:1 concept:1 partial:7 consider:6 similarity:1 γn:2 results:7 four:1 proposition:9 generalize:1 consists:4 follow:1 research:3 worked:1 soc:1 whose:37 preserves:1 depend:1 unanimity:3 graph:8 equivalence:2 send:1 languages:30 finally:4 av:2 those:4 th:1 under:10 γc:1 γa:11 include:1 presentation:1 case:17 conjecture:10 attribution:1 expressing:1 straightforward:1 calif:1 very:2 pages:6 rise:3 p0:4 focus:1 corollary:13 every:10 govern:1 induction:7 manageable:1 condition:4 entire:3 basics:1 turns:1 notes:1 commons:3 fewer:1 large:2 vector:2 rj:15 recall:3 small:2 noted:3 homomorphism:3 programme:1 upper:1 concise:1 dealing:2 abbott:1 breaks:1 sign:1 fold:1 second:5 licenses:1 further:1 odd:1 scientific:1 even:1 employ:2 developed:4 appear:2 section:7 celebrated:1 near:3 expressed:2 hereditary:1 witnesses:1 birkhoff:1 19th:1 version:1 establishes:8 relational:29 congruences:4 method:1 satisfy:5 full:1 notions:2 respectively:4 csps:3 here:1 behaviour:2 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0705.2230.txt |@word ibid:3 partial:9 gr:2 pointing:1 gp:2 caused:5 magnetic:1 splitting:15 leads:5 gf:8 mnm:1 ga:1 kato:1 go:2 gn:3 expressions:2 mason:1 contributions:4 localized:14 consider:7 replacements:1 depend:1 ıt:1 re:1 alamos:4 description:2 technique:2 tr:1 removal:3 environment:4 finally:3 foster:1 those:5 marks:1 asymmetries:2 include:3 worth:1 kσ:1 division:1 γnm:1 ured:1 orthogonal:1 very:4 rise:6 wave:3 electron:59 novel:1 resonant:5 experimentally:1 matrices:9 condition:2 four:3 persson:3 level:19 transmission:20 ref:4 louie:1 list:1 t0:2 large:3 solved:1 kondo:2 vector:1 fourier:1 indices:1 shows:3 equation:2 configurations:7 upper:1 bl:1 work:1 ten:1 consistent:1 measurable:1 approximation:2 surrounding:5 second:5 doe:2 untiedt:2 realistic:1 chen:1 further:5 chem:1 galperin:1 davis:1 renormalizes:1 even:1 nonlinear:1 sub:11 nano:1 30a:1 section:1 analogously:2 uniform:2 current:7 consistently:1 experiment:1 poles:18 goes:1 spintronics:1 new:2 occupation:1 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0705.2233.txt |@word essay:4 partial:5 gr:7 remarkable:1 similarity:1 rev:12 global:1 four:3 scalar:3 entropy:2 edu:1 hole:9 consider:2 calculate:2 acting:1 supported:2 charge:2 does:1 alvarez:1 elias:1 th:26 under:1 alberta:1 include:1 ingredient:1 applied:3 labels:1 kχ:1 zhang:1 continues:1 translations:1 govindarajan:1 wave:4 witten:1 difference:1 condition:2 kui:1 entire:1 level:3 diverging:1 erratum:1 disth:1 leave:1 solved:1 small:1 trr:1 trt:1 jhep:4 boulware:2 direct:1 setare:1 zero:2 chen:2 further:2 dynamics:1 implemented:1 even:1 what:1 essence:1 brackets:1 section:2 while:1 current:1 experiment:2 above:5 expresses:1 net:1 method:16 outgoing:4 full:2 simultaneously:1 ibid:1 respectively:1 here:1 lack:1 explore:1 objects:2 possibility:1 address:3 path:1 obtained:1 institute:2 study:2 studied:1 umetsu:6 action:2 myers:2 spacetime:11 blackbody:1 formulated:1 padmanabhan:2 explained:1 remnant:1 anomalies:2 total:1 unit:1 derivatives:1 use:1 takes:1 would:2 commun:1 covariant:1 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0705.2238.txt |@word limited:3 l165:1 luminosities:3 entropy:18 parameterization:2 assembled:1 relationships:6 looking:3 ergs:1 extrapolate:1 kawata:2 perature:1 conjecture:3 isotropically:1 rise:3 every:2 softened:1 summarized:2 affect:4 bringing:1 vast:1 look:2 believed:1 school:1 solution:1 bˆırzan:3 indices:1 ueda:2 unsharp:1 pooley:1 heckman:4 consistent:12 estimates:4 sanderson:5 surrounding:9 second:5 street:1 evaluated:1 qualitatively:2 estimated:4 even:9 established:2 unpopulated:1 selected:4 astrophysik:1 above:7 zoomed:1 new:7 net:1 increasing:15 ever:1 consisting:1 shocks:3 simultaneously:1 residual:5 here:15 richstone:3 fairly:1 active:4 path:1 obtained:4 uplifting:2 study:14 procedure:3 permit:1 suitable:1 changes:4 prints:6 explained:3 highly:3 visible:4 total:19 kobayashi:2 narayan:3 plot:9 would:7 definiteness:2 noting:1 call:1 therefore:7 robertson:8 type:2 until:3 mckinney:2 separated:2 populations:2 successful:2 brings:2 glass:1 hole:21 ma:1 setup:1 mn:1 erg:3 mp:2 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0705.2240.txt |@word saturating:1 magnetic:22 dynamic:1 monte:1 four:3 francesco:1 poorly:1 whose:1 flannery:1 calculate:12 paris:1 charles:1 under:3 inwards:1 cm2:4 tafalla:2 every:1 figs:1 affect:1 solution:2 globule:16 3c48:1 vector:5 aeronautics:2 consistent:8 estimates:9 surrounding:5 likely:13 correlator:1 estimated:4 blue:1 errors:11 incompatible:1 selected:2 contributed:1 astrophysik:1 above:4 new:2 increasing:1 agreement:10 simultaneously:1 here:6 atoms:1 asymmetry:1 obtained:4 study:2 changes:1 diameter:1 prints:1 9m:1 highly:1 counts:2 total:10 plot:2 would:10 leaks:1 noting:1 therefore:10 type:1 separated:1 brings:1 berlin:1 ward:2 blocking:1 must:2 abundance:1 md:2 springer:1 mm:3 work:7 mh:4 mk:3 mt:1 temperatures:12 henry:2 example:2 indicated:7 generically:1 indicates:5 magnitudes:9 isothermal:4 provide:2 enl:1 feature:1 very:8 klapp:2 adjacent:2 elizabeth:1 seds:3 reconciled:1 after:4 lab:1 millimeter:2 modest:1 spectrometer:2 summarize:2 law:5 shaw:1 effective:4 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0705.2241.txt |@word secondly:2 evidence:2 consider:7 maximum:1 squared:1 global:14 results:16 leads:4 anchored:1 scalar:2 parker:1 parametrisation:3 go:2 follow:1 expressions:1 issues:2 row:2 bars:1 increase:4 dermisek:2 depend:4 concerned:1 undetermined:1 factoring:1 reverting:1 finally:2 those:5 excluded:1 stable:3 characterised:1 dramatically:3 λqcd:1 case:5 conjecture:1 random:4 g3:3 g2:1 yao:1 very:11 implicitly:1 terao:1 keeping:1 seemingly:1 choice:6 grid:6 every:4 additional:2 casas:7 fall:1 overcomes:1 experimentally:1 difference:1 matrices:1 four:5 moderate:3 obvious:1 preserving:1 level:3 issue:1 nucl:6 t2:8 solution:2 d2:3 conforms:1 large:23 iterative:1 o1:2 bxo:1 gut:5 small:19 gauge:2 shows:4 equation:1 programme:1 upper:2 smaller:5 findings:1 trend:1 miller:1 sin4:1 lightest:3 direct:2 cancellations:3 approximation:1 imply:2 evaluated:1 further:4 distinctly:1 tev:1 linear:3 bilinear:2 will:14 3y:1 errors:7 developed:1 appear:4 cover:1 giving:4 trivial:2 section:9 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0705.2244.txt |@word sunyaev:5 limited:2 code:2 evidence:3 consider:15 modifications:1 similarity:1 squared:1 magnetic:7 global:1 results:24 valid:2 existing:1 four:5 eds:2 brenneman:2 entropy:2 overlap:2 during:1 kato:7 types:5 follow:2 gm:12 disk:136 cases:3 issues:1 gr:1 whose:1 c0:2 terms:1 calculate:4 technique:1 young:3 presents:1 behave:2 those:7 determinations:1 stable:5 differing:1 include:2 dramatically:1 indicating:1 overlaps:1 sound:4 luminosities:5 g3:1 garden:1 zhang:3 2rg:2 continues:1 percival:2 poutanen:1 focus:1 worst:1 figs:2 summarized:1 affect:2 difference:5 condition:5 paradijs:1 entire:1 zdziarski:2 implying:1 cause:1 steeply:3 solution:6 integrated:6 large:6 insights:1 subscript:2 small:5 eigenvalues:2 shows:27 alternatively:1 still:2 hardening:2 10m:3 heuvel:1 estimates:4 pasj:2 rbr:2 blue:3 likely:5 street:2 profiles:9 equal:1 chen:6 qualitatively:1 estimated:4 substitute:1 spectral:9 index:2 what:3 errors:4 sub:1 rate:6 fact:1 section:2 while:3 expressed:1 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0705.2249.txt |@word consider:1 remarkable:1 rev:3 magnetic:12 desirable:1 focus:1 integration:1 leads:1 commute:8 lll:9 consists:1 follow:1 expressions:2 compact:2 inverse:1 superspace:4 tr:3 charge:1 unpleasant:1 present:1 th:13 under:7 norm:10 degeneration:1 straightforward:1 orthogonal:1 rise:1 translations:3 account:3 seemingly:1 geometrical:1 witten:1 every:1 summarized:1 redefinition:1 difference:2 condition:3 annihilated:2 evaded:1 2κc:3 riemann:1 2κa:4 hamiltonian:7 irreducible:1 prototypes:1 large:1 manifestly:2 provided:1 noted:1 degeneracy:5 jhep:2 zd:1 consistent:3 fold:4 second:7 further:1 odd:2 hopefully:1 canonical:1 what:3 nonlinear:1 appear:2 d2:1 section:2 worldline:19 supermultiplet:1 expressed:3 uniform:5 version:5 goes:1 fractional:1 supertranslations:3 new:12 consisting:1 coefficient:1 condensed:1 full:3 simultaneously:1 biorthogonal:1 respectively:1 l1:3 component:5 here:6 growing:1 objects:1 κz:5 address:1 represented:2 supersphere:3 along:1 enveloping:1 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0705.2250.txt |@word saturating:1 localizes:5 magnetic:1 four:2 obstruction:3 entropy:4 consists:2 localized:6 whose:6 δhi:1 under:7 z1d:1 z1a:1 conjecture:2 rise:2 bφ:1 replaces:1 affect:1 bringing:1 school:1 solution:3 solid:1 vector:10 indices:1 glued:1 ups:3 jhep:8 consistent:4 direct:1 approximation:3 likely:1 j23:1 j21:9 implemented:2 even:10 ǫq:1 above:4 new:15 contributes:1 consisting:1 agreement:1 simultaneously:1 wrapping:3 residual:6 here:8 refinement:1 δzi:5 path:5 obtained:14 study:3 ignoring:1 akj:2 aki:2 changes:5 cancellation:1 attractor:19 explained:3 visible:1 total:4 rω:3 linearly:1 plot:1 would:23 bundles:2 negative:4 definiteness:1 call:1 therefore:20 survive:1 type:1 separated:6 motl:1 naive:2 adjacency:1 unraveled:1 hole:5 hold:1 must:13 morally:1 ma:3 room:1 mb:2 setup:1 work:6 theories:10 example:13 quiver:73 give:11 relativistic:1 preserving:1 generically:2 impair:1 trieste:1 want:4 verlinde:1 provide:1 feature:2 very:7 nontrivial:11 answer:5 ordinary:2 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0705.2258.txt |@word footing:1 consider:4 riotto:1 crucial:1 particular:1 msoft:7 splitting:10 yellow:1 leads:3 gabrielli:1 proposition:1 entropy:1 squarks:6 consists:2 contributions:3 localized:4 content:1 number:4 referring:1 seng:1 accounting:1 finally:5 program:3 contours:4 excluded:8 stable:4 semenov:1 λir:10 maryland:2 include:1 division:1 far:5 listed:1 later:1 intriguing:2 induce:1 results:1 me:3 electron:1 fall:1 mixing:6 difference:2 grant:1 condition:1 severely:2 obvious:1 solves:1 presented:2 sundrum:3 solution:1 correct:1 large:10 solved:1 gut:3 small:9 relation:2 equation:1 degeneracy:4 upper:2 smaller:5 illustrating:1 findings:2 consistent:12 lightest:8 direct:5 elegant:1 likely:1 value:5 go:2 further:6 estimated:1 requiring:1 columns:2 tev:30 wmap:5 even:4 neutralino:50 what:6 errors:2 stands:1 taus:2 section:7 near:4 mg:3 current:2 version:2 suspect:3 above:6 new:4 increasing:1 ever:2 consisting:1 contrast:2 mp:1 satisfy:2 simultaneously:1 respectively:6 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0705.2259.txt |@word represent:1 since:1 gs:7 consider:6 springer:3 ajt:2 merced:1 results:7 laura:4 scalar:1 sra:1 go:1 follow:1 δji:2 localized:2 gr:2 devoted:1 whose:4 inverse:2 depend:2 fellowship:1 equivalence:9 tr:21 nakajima:2 trivial:1 ıa:7 finally:7 deriglazov:1 preserved:1 th:12 alg:1 phil:1 iij:3 magnetic:1 ın:1 case:15 supported:2 deforming:1 string:10 straightforward:4 gadella:2 very:1 modes:2 keeping:1 zachos:4 geometrical:5 print:1 maskawa:2 witten:2 every:2 trough:1 manifolds:1 entries:1 nieto:1 deformations:1 condition:7 leads:2 school:1 ρs0:3 obvious:2 solves:1 hamiltonian:21 positions:1 notes:2 ωs:7 proposals:1 solution:7 damped:2 solved:1 vector:2 science:1 rev:6 relation:1 teaching:1 challenge:1 possibility:1 application:1 fµν:1 b27:1 det:27 consistent:1 faddeev:2 literature:1 second:27 perspective:1 rigorous:1 further:4 dynamics:10 zp:21 expressions:1 zr:4 linear:1 even:3 reviews:1 what:5 stands:1 brackets:9 diag:1 section:18 batalin:1 brief:2 expressed:1 d3:18 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0705.2263.txt |@word sci:1 gy:1 gx:7 gc:2 whose:1 denham:3 tn:1 finally:1 include:2 ingredient:1 straightforward:1 springer:1 choice:1 corollary:2 uwo:1 invent:1 partitions:1 presented:1 turns:1 deleting:1 der:1 unexpected:1 natur:1 claudio:1 elegant:1 zero:1 linear:1 sub:1 section:1 subspaces:2 coefficient:1 unsurprisingly:1 degree:2 mem:1 equals:6 here:1 groups:6 re:1 appears:1 obtained:1 remark:1 vectors:3 contradiction:1 action:2 makes:1 via:1 classification:1 vii:1 marked:1 unit:1 prove:1 positive:5 humphreys:1 therefore:1 exhaustive:1 type:3 diagrams:1 more:1 formally:1 alcove:2 becomes:1 apparent:1 appendix:1 labelled:2 particular:1 hold:1 none:1 recall:5 equation:1 grundlehren:1 arrangements:5 codimension:1 mr:3 following:2 root:16 example:1 proof:11 figure:3 give:1 sense:1 procesi:7 hyperplane:7 irreducible:4 verlag:1 end:1 holds:1 arrangement:5 hαi:2 obius:1 product:1 mat:2 may:2 ball:1 diagram:3 parallel:1 types:1 short:1 lemmas:1 so:3 fundamental:3 acts:1 interpretation:1 over:1 held:1 through:3 still:1 its:1 roots:4 fis:1 derive:1 group:2 fix:1 affine:4 degrees:3 systems:3 main:1 might:1 count:1 non:1 combination:1 primary:1 now:1 james:1 university:2 each:8 accompanied:1 side:1 subset:3 another:2 extended:1 our:1 out:1 rt:1 shown:1 space:1 since:7 combinatorial:2 contained:1 rational:1 formula:6 rn:18 induced:1 issue:1 math:4 shows:2 theory:2 stembridge:2 free:2 base:6 collection:2 definition:1 lincei:2 phrases:1 crystallographic:5 origin:3 dynkin:2 number:10 rank:6 concini:7 directly:1 open:3 given:1 necessarily:1 introduction:1 system:11 least:1 their:5 zaslavsky:2 john:1 recovered:1 gives:2 centered:1 exactly:1 reflecting:4 western:1 retraction:1 solomon:1 accad:1 rend:1 generality:2 argument:2 say:2 seen:1 any:13 ray:1 latter:1 hyperplanes:9 note:6 gσ:5 cl:1 formulas:1 5b7:1 multiple:1 opposite:1 url:1 partition:2 vertices:1 face:2 points:2 reflections:1 sum:1 thomas:1 supported:1 substituting:1 tempted:1 d2:2 d1:3 title:1 than:1 lemma:4 only:2 bases:1 black:1 partially:1 dn:5 do:1 dj:4 notation:1 di:11 de:7 words:1 secondary:1 arxiv:1 contain:2 london:1 fixed:1 set:2 hα:1 see:1 result:3 chambers:11 btn:1 subject:1 fails:1 αi:4 geometric:1 extend:1 2m:1 complement:2 however:2 ranked:1 key:2 amer:1 both:2 polytope:1 equal:1 nserc:1 passing:1 expression:1 otherwise:1 coxeter:3 point:3 simple:3 ca:1 cohomology:1 simply:1 polynomial:2 respect:1 union:1 expected:1 define:1 corresponding:1 search:1 denote:8 those:1 case:2 choices:1 while:1 suppose:2 ǫx:2 unitary:1 vol:2 vi:2 clearly:1 itself:1 cone:14 wissenschaften:1 containing:1 grant:1 perhaps:1 same:1 poincar:1 φi:3 finite:6 isometries:1 independent:1 used:1 http:1 i2:1 hand:1 usually:1 terao:2 purpose:1 louis:1 identity:10 reflection:5 well:1 without:1 position:4 left:1 spherical:1 just:3 less:1 obtain:1 yet:1 adding:1 unique:1 regarded:1 alternate:1 character:1 lattice:2 book:1 extends:1 theorem:12 real:4 around:1 spanned:3 department:1 background:1 press:1 using:2 intersection:2 loss:1 follows:2 jiˇr:1 chamber:10 2007e:1 essential:2 terminology:1 www:1 cones:2 classical:1 subdiagrams:1 some:5 n6a:1 proper:2 curious:4 peter:1 nonzero:2 facing:1 dense:2 nonempty:1 normal:8 does:1 refer:1 simplex:2 although:1 found:2 cα:2 bx:5 patera:2 central:2 extension:1 quasicrystals:1 transitive:1 slightly:1 soc:1 cambridge:2 h3:2 h0:6 h4:2 lies:2 references:1 ontario:1 span:3 mathematischen:1 appl:1 inner:1 way:1 function:1 hx:18 form:1 offer:1 volume:11 ah0:5 construction:1 truncation:1 orlik:3 compute:1 consist:1 up:2 below:1 2003b:1 called:1 atti:1 simplicial:1 associated:1 defined:1 abstract:1 corrado:1 general:4 formulation:1 graham:1 ni:1 no:6 other:1 naz:1 mathematics:2 nice:1 canada:1 vertex:3 deriving:1 a0:3 a2:2 bounded:12 sides:1 longer:1 orbit:3 together:1 equivalently:1 volumes:1
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0705.2264.txt |@word partial:11 consider:8 similarity:1 results:1 tripartite:9 ρt2:2 lewenstein:1 research:1 whose:1 simon:1 bx2:1 tn:3 finally:1 program:1 those:2 th:2 indicating:1 p2:2 advantage:1 very:1 connects:1 zhejiang:2 merit:1 condition:3 preuss:1 school:2 presented:1 irreducible:1 t2:1 t3:8 large:1 discrete:2 variances:1 optics:1 work:2 hillery:2 second:2 l2y:2 l2x:2 obey:1 even:1 index:1 abc:4 plays:1 sun:1 sum:1 selected:1 above:7 new:1 method:6 satisfy:3 respectively:4 2kz:1 understanding:1 guise:2 china:4 2ka:6 2kb:6 2kc:4 represented:2 strong:2 obtained:5 institute:2 specialized:1 study:2 studied:1 studies:1 via:3 useful:2 family:1 apt:7 apply:2 use:3 shumovsky:1 sake:1 positive:1 brandes:1 hy2:2 next:1 comparing:1 partite:1 noting:1 therefore:1 criteria:8 robertson:3 more:2 composite:1 conclusions:1 operators:25 odinger:3 berlin:1 known:1 hold:1 iii:1 must:1 kraus:1 ma:12 mc:9 mb:12 science:3 equation:2 mn:1 ibz:1 values:1 hope:1 following:4 root:2 wang:2 give:1 expanding:2 states:7 numbers:1 conversely:1 information:1 straightforward:1 provide:2 bargmann:1 means:1 write:1 importance:1 product:3 giovannetti:2 algebra:7 replacing:1 after:3 dx2:1 changchun:4 applications:1 transposed:1 realized:1 third:3 su:34 fundamental:2 representation:3 order:1 typical:1 nsfc:1 separable:6 holds:2 srfdp:1 developed:1 course:1 paper:1 including:1 still:2 its:3 derive:3 conjugation:3 actually:1 lt:1 systems:29 defining:1 easier:1 lx:22 ly:22 violating:1 introduce:2 they:3 now:2 yu:2 discuss:1 developments:1 nos:1 february:1 finite:1 university:4 by2:1 labeling:1 orthonormal:1 inequality:16 mode:10 2i:8 2j:6 2k:8 square:2 another:4 reduce:1 applicable:1 used:2 connect:1 measurement:1 quantum:3 our:3 eq:9 special:1 out:1 tombesi:1 rev:24 denotes:2 re:2 acting:2 eprint:1 ref:1 math:1 theory:1 approaches:1 advantages:1 approach:3 detecting:2 stimulate:1 first:2 ihz:2 cy2:1 xi:1 nha:4 number:2 multiplying:1 dong:1 xt:1 given:10 shchukin:1 introduction:1 eqs:1 system:6 relations:13 their:1 iaz:1 gives:2 2ab:1 giedke:2 continuous:3 hur:4 x2:1 x1:1 than:5 see:4 annihilation:3 modern:1 generalization:3 chen:1 raymer:1 further:1 need:3 seen:1 any:7 multipartite:4 lie:2 subsystems:1 efficient:1 convenient:1 able:1 note:2 instance:1 k1:1 effectiveness:1 heisenberg:5 begin:1 akad:1 neatly:1 detect:4 importantly:1 definitions:3 class:1 commutation:3 kc:17 kb:16 ka:16 considered:1 stronger:4 highlight:1 takeuchi:1 holstein:3 kz:6 usual:2 physics:3 section:1 fact:2 violation:1 supported:1 dy2:1 relation:5 find:2 based:8 written:6 separability:4 only:3 generators:1 employed:1 achieve:1 do:1 get:2 de:2 expectation:1 2jz:1 dz:5 valuable:1 dx:3 dy:3 dv:1 liu:2 fields:1 transposition:11 arxiv:1 summary:1 hangzhou:1 thanks:1 set:5 exists:1 j1:1 j2:1 j3:1 detection:2 namely:1 usefulness:1 discussions:5 terms:3 satisfying:6 inequalities:9 funk:1 wiss:1 case:7 state:8 between:5 conditions:6 recently:1 jz:5 biswas:1 qubits:1 realization:1 wu:1 here:5 ud:1 cirac:2 ja:16 jb:16 jc:17 observable:1 cov:12 many:1 uncertainty:6 dated:1 casimir:1 variance:1 ilz:2 finds:3 miranowicz:1 aa:2 relevant:1 na:27 cy:6 cx:6 respect:4 li:1 considering:1 described:2 pt:15 basis:1 emary:1 three:6 been:1 reduction:3 ph:2 algebras:3 define:6 lanzhou:2 sanders:2 cx2:1 corresponding:2 indeterminacy:9 both:1 sufficient:2 covariance:1 fund:1 c2:2 spin:5 present:2 applied:1 k2:1 noncommuting:1 p1:2 pacs:1 lz:5 value:1 will:2 procedure:1 vogel:1 eral:1 thus:3 iv:1 ii:1 duan:4 technology:2 agarwal:1 different:2 education:1 grant:3 quant:2 several:2 higher:1 literature:2 a2x:1 a2y:1 kim:2 entanglement:29 recent:1 schr:3 modes:3 primakoff:3 hx2:2 sets:2 position:1 know:1 just:1 obtain:11 rest:3 2jc:4 2jb:6 2ja:6 letting:2 k3:1 doctoral:1 zoller:1 density:2 zubairy:2 lett:11 easy:2 transformation:1 momentum:1 real:1 2j3:1 2j2:1 2j1:1 entangled:1 using:8 necessary:1 cz:4 follows:1 reduces:3 arbitrary:1 methods:2 some:3 b2:2 extended:1 neglecting:2 hofmann:2 icz:1 ba:2 sheng:1 vitali:1 illustration:1 bx:3 properties:1 bz:6 deriving:3 idz:1 discussed:1 o:4 important:1 obeys:1 wang1:1 connected:1 own:1 previously:2 bound:1 appropriate:1 weyl:2 operator:10 fei:1 bosonic:7 often:1 uncertainties:3 there:1 bosons:1 rowe:1 way:1 var:1 was:1 hz:8 hx:8 hy:8 complete:1 form:5 but:3 klyachko:1 partially:1 pi:1 evident:1 horodecki:3 ρpt:12 below:1 limit:5 demonstrate:1 problem:2 similar:1 display:1 expect:1 mechanics:2 oth:1 ab:7 general:3 peres:1 relates:1 ay:8 ax:8 az:4 check:1 physical:1 ni:14 nn:2 no:2 zhong:1 nb:28 nc:17 hybrid:1 acknowledgments:1 other:4 role:1 holding:1 department:1 uhne:2 may:2 zhou:1 a12:1 problems:2 a1:6 a2:14 bounded:1 variable:4 covariances:1 together:1 mancini:1 observables:1 having:1
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0705.2265.txt |@word represent:1 code:1 partial:1 u0:1 snyder:1 results:5 existing:1 scalar:1 ga:1 consists:1 remarkably:1 disk:3 6z:1 poorly:1 whose:1 dimensionality:1 technique:6 tp:6 γj:1 finally:1 edward:1 tj:6 under:2 maryland:1 tc:3 updated:4 supported:1 evolves:1 far:1 regional:2 indication:1 every:2 updates:1 sensitivity:1 overcomes:1 difference:1 matrices:1 enard:8 condition:2 entire:1 school:1 upj:1 solves:2 presented:2 michael:1 solution:1 fewer:1 t1:1 large:10 vector:3 inversions:1 optics:2 upper:1 smaller:1 grateful:1 prandtl:1 estimates:5 prediction:3 approximation:1 zero:1 evaluated:1 insertion:1 dynamics:3 theory:1 even:2 index:1 what:1 nonlinear:4 advantageous:1 giving:1 while:1 thickness:1 cell:1 experiment:6 above:1 new:2 net:1 method:9 contrast:1 coefficient:1 evolving:4 full:2 evaluating:1 unobserved:2 here:9 cylindrical:1 focused:1 nent:1 equations:6 z1:1 simulating:1 incoming:1 naval:1 difficulty:2 institute:1 inspired:1 studied:1 commonly:1 leaving:1 poisson:2 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0705.2266.txt |@word neighbors:2 limited:5 monte:6 companions:2 represent:3 green:1 luminosities:3 results:12 four:1 known:1 woods:3 comments:1 cooperative:1 edu:1 morphology:5 follow:1 disk:2 voids:1 bershady:1 compact:1 depend:2 calculate:1 environment:1 quasi:1 program:2 present:1 excluded:2 under:2 alternatively:1 presumed:1 presentation:1 masked:1 me:1 confirmation:1 provides:5 advantage:1 nearestneighbor:2 very:12 kewley:1 suggests:1 continues:1 deeper:1 induce:1 focus:2 crosses:1 distribution:15 sensitivity:2 entries:1 vastly:1 difference:4 vast:1 entire:5 school:2 squares:2 level:2 turns:1 presumably:1 steeply:1 hawaii:5 fewer:1 correct:3 large:22 coincidences:1 stddev:1 avoiding:1 small:12 relation:1 straight:3 upper:1 smaller:6 ten:1 consistent:1 estimates:2 za:2 zb:1 empirical:1 past:1 likely:10 fiber:1 timescales:1 perspective:1 picked:2 lavery:7 further:2 estimated:1 carlo:6 universities:1 compile:1 what:1 errors:2 hernquist:2 appear:2 representative:1 contributions:1 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