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0705.0928.txt |@word aoki:1 secondly:1 gu:1 partial:1 magnetic:3 results:2 tayama:1 entropy:12 remarkably:1 contributions:1 rigidity:1 particles:1 referring:1 tx:1 passage:1 charge:8 monotonically:1 tc:24 case:2 broadly:1 very:7 continues:1 wave:3 electron:4 balancing:2 figs:1 fall:3 moderate:1 level:2 steeply:1 large:17 noted:1 upper:2 smaller:1 trend:1 consistent:3 sign:8 jump:1 fold:1 zero:13 displays:3 further:1 quite:1 subscripts:1 appear:3 displaying:1 sum:3 axes:1 dephasing:1 shares:2 current:20 above:12 expresses:1 3a:1 contrast:2 magnetometry:1 full:1 respectively:2 equals:1 here:1 behnia:1 reported:5 separation:1 directions:1 path:1 along:1 strong:2 pagliuso:2 appears:3 superconductor:3 clarification:1 ac02:1 precursor:8 involved:1 settles:1 completely:1 suggests:2 changes:2 involves:1 plotted:1 via:2 scales:2 merely:1 explained:1 highly:1 affected:1 decrease:6 anomalies:3 viz:2 pulls:2 total:3 unit:1 readily:2 use:1 quasi:1 sharper:1 intensively:1 positive:10 negative:10 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0705.0929.txt |@word ibid:2 sch:4 lls:7 magnetic:1 varying:1 truncated:1 results:9 leads:10 eds:1 gk:1 row:1 aug:1 γr:1 tr:3 charge:8 tk:2 th:1 γl:1 γg:1 case:4 supported:1 amplitudes:1 very:1 focus:2 electron:2 experimentally:3 exact:2 level:6 transmission:1 irreducible:1 large:4 solved:1 kondo:4 small:15 dip:1 equation:1 degeneracy:1 concluded:1 upper:2 smaller:2 metzner:2 renormalized:1 consistent:3 direct:1 sign:1 jump:3 second:5 further:1 quite:1 linear:11 even:6 established:1 t2l:4 fact:1 sum:1 expressed:3 current:1 above:3 nonuniversal:1 new:1 t2r:5 method:3 contrast:2 full:1 simultaneously:1 degree:1 spacing:1 here:4 atoms:1 onhammer:4 strong:6 equations:1 logarithmic:1 obtained:3 study:2 studied:2 allows:2 completely:1 resulting:1 resonance:7 changes:5 via:1 scales:2 discontinuous:1 replace:1 unitary:1 glance:1 degiorgi:1 linearly:1 predicted:1 plot:1 use:1 takes:1 would:2 γre:1 remains:1 vg:79 quasi:1 hilbert:1 occupying:1 few:2 type:1 theoretical:2 more:2 conductor:1 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0705.0930.txt |@word partial:1 chain:4 global:1 proposition:1 edu:2 consists:1 research:1 gi:1 equivalences:7 whose:10 inverse:1 equivalence:24 finally:1 tk:4 under:3 g2:1 g1:2 far:1 rise:1 induce:1 isomorphism:4 every:1 exact:4 condition:3 level:2 turns:1 cfd:22 fold:1 second:1 odd:1 linear:1 what:1 liberty:1 cell:7 bass:1 version:2 establishes:1 new:1 satisfy:3 full:7 barratt:1 vanderbilt:1 here:1 understanding:1 objects:10 groups:2 address:2 change:1 morphisms:3 obtained:2 remark:2 algebra:2 products:1 action:4 suitable:1 quotient:2 via:1 subcategory:8 private:1 equivariant:8 viz:1 total:1 suspensions:1 positive:2 negative:1 therefore:2 taken:1 compactly:2 type:2 diagrams:1 pfd:25 composite:5 becomes:1 projective:3 iii:5 mf:2 recall:4 mi:1 theories:1 coequalizer:5 proof:6 f0:2 f1:2 f2:2 subcategories:1 give:1 sense:3 information:1 thing:1 afd:19 acts:1 quasiisomorphism:1 maps:6 quillen:1 pure:2 map:38 description:1 singular:3 may:2 notre:2 after:2 mapping:3 diagram:5 consequence:1 fd:6 date:1 fi:2 third:1 so:3 specifying:2 fundamental:8 definitions:1 operations:1 restriction:1 cobase:1 over:1 grunewald:1 paper:5 through:2 grayson:1 its:6 revived:1 group:3 thank:1 degrees:2 choose:1 suspension:2 main:3 non:3 material:1 yf:14 they:2 half:1 now:2 february:1 installment:1 university:4 identified:1 detroit:1 pinch:1 side:1 ktheory:1 attachments:3 classifying:1 series:1 functor:8 conventions:2 our:1 operation:1 out:1 category:9 shown:3 accomplish:1 space:7 since:5 induces:8 publish:1 denotes:6 daniel:1 dominated:7 socalled:1 reader:1 denoted:2 get:1 induced:13 induction:1 math:3 shows:2 benjamin:1 fiber:15 theory:15 free:3 admits:2 york:1 org:1 definition:1 pairs:1 equivariantly:3 categorical:1 nonnegative:1 introduction:1 hence:2 think:1 first:1 number:2 another:2 given:12 πf:2 similarly:3 ordering:1 draft:1 realization:5 dfd:10 john:6 williams:9 gives:1 shifted:1 circulated:1 authors:1 translation:1 copy:1 completes:1 finitely:8 kind:1 determines:1 sections:1 submitted:1 providing:1 endomorphism:2 say:1 disjoint:1 null:8 any:1 functors:2 jour:1 built:3 self:3 mid:1 concerns:1 gkm:2 take:1 bruce:6 object:20 colimit:2 kan:1 complexes:1 connected:1 preliminary:1 pair:3 acknowledgements:1 sfb:1 pushout:1 especially:1 considered:4 cofibration:8 proceedings:1 kt:1 notion:1 atmosphere:1 spaces:18 expressed:1 trivial:3 homology:1 based:11 topological:2 lemma:4 only:3 wayne:2 equipped:3 preliminaries:1 above:4 klein:10 means:2 df:6 familiar:1 geometric:4 prime:1 arxiv:2 wish:1 exists:3 module:3 lnm:2 see:3 result:4 waldhausen:7 theoretic:2 said:2 inappropriate:1 monoid:3 away:1 connective:1 state:2 identification:1 boundary:1 terms:4 nashville:1 weak:22 holds:1 topology:4 many:1 σa:3 σg:1 homotopy:51 enabling:1 σz:1 pdf:1 cofibrations:5 point:3 cf:1 cy:3 tennessee:1 moreover:2 pp:2 commutative:1 union:1 been:1 attaching:2 workshop:1 interest:1 abstract:1 define:7 direction:1 commutes:1 sufficient:1 mail:2 those:1 look:1 will:4 rutgers:1 replaced:1 property:1 taking:3 loop:3 rename:1 thus:1 ii:2 cone:1 triple:1 fibration:2 id:2 verified:1 april:1 complex:3 finite:7 composition:2 higher:1 used:1 http:1 nil:16 hand:2 identity:3 reflection:1 well:1 axiom:1 dimension:3 left:2 assembling:1 nd:1 obtain:1 underlying:5 identify:2 homotopic:10 letting:1 generator:2 infinitely:1 nilpotent:5 conclude:1 theorem:12 remaining:1 term:2 early:1 five:1 integer:2 identifying:1 follows:7 either:1 σg0:1 reduced:4 right:2 sequence:16 phenomena:2 respect:2 decomposition:1 chains:1 bg:1 bm:1 equivalent:3 plugging:1 integers:2 algebraic:10 factors:2 mutually:1 act:1 acyclic:3 consequently:4 morphism:16 farrell:1 inclusion:1 communication:1 into:1 bielefeld:1 references:1 1990s:1 telescope:3 there:11 restricts:1 appl:2 was:5 cofiber:2 complete:1 hs:27 forgetful:2 construction:1 hn:12 line:3 true:1 delooping:1 evident:2 characteristic:3 cells:4 attached:1 up:11 us:3 ωn:3 dame:2 called:1 simplicial:3 defined:10 certain:1 universal:1 specified:1 denote:16 some:1 check:1 puppe:1 when:5 application:1 other:3 papers:1 retract:3 homotopically:6 functorial:1 cofibrant:1 generated:3 augmentation:1 structure:4 implies:5 auxiliary:1 assume:2 required:2 modules:1 orbit:1 4p:1 basepoint:2 |
0705.0931.txt |@word consider:3 chain:1 results:2 leads:1 mild:1 generalize:1 comments:1 grateful:1 expressions:2 inverse:2 depend:6 calculate:1 tv:16 concerned:1 tr:16 answered:1 quasi:9 under:2 ta:1 very:4 putting:2 entries:6 matrices:3 condition:14 υl:8 school:1 swapping:1 υk:26 υj:4 notes:1 t2:3 solution:6 try:1 discrete:1 vector:2 small:1 eigenvalues:1 equation:3 upper:8 ρj:2 computation:1 second:2 further:3 canonical:8 spectral:2 sum:1 expressed:2 above:1 new:1 method:1 contrast:1 fujiwara:4 satisfy:4 notions:1 respectively:1 component:1 answers:1 objects:1 andrews:1 represented:4 along:1 equations:2 logarithmic:2 every:1 sending:1 great:1 larger:2 amount:1 action:1 suitable:2 settled:1 involves:2 uniquely:1 useful:1 family:4 outcomes:2 achievable:8 summation:1 use:7 prove:4 probabilities:2 positive:3 negative:2 optimize:1 linear:1 9ss:1 cram:4 more:3 vl:1 operators:14 berlin:1 appendix:7 particular:3 known:2 cases:1 hold:1 must:2 kraus:19 springer:1 valued:2 mm:17 originally:1 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0705.0935.txt |@word bvs:3 ptm:1 companions:2 partial:1 catalogue:3 ptg:1 caused:2 lack:1 results:3 existing:1 illustrated:1 known:1 mild:1 supplement:2 higher:1 cooperative:1 gn:1 constraints:1 disk:2 gk:3 centers:1 issues:1 copernicus:2 certainly:1 anticipation:1 tx:1 technique:2 young:1 protostars:2 supported:2 finally:2 program:2 fischer:2 determinations:1 under:2 stochastic:1 pickering:2 confirmation:1 far:3 account:1 distant:1 trigonometric:1 rotational:3 shetrone:2 summarized:1 cool:1 spie:2 induced:2 moderate:1 eliminates:1 level:5 list:2 joined:1 t0:1 large:2 hubickyj:1 unmodeled:1 detected:2 quinn:1 pollack:2 inspection:1 accumulation:1 related:6 upper:2 calibrations:1 periodicity:2 core:2 consistent:4 estimates:3 direct:2 tef:2 progenitors:2 blue:1 krull:1 second:1 fiber:1 pasp:5 profiles:1 spectrograph:3 further:2 dynamics:1 estimated:6 carlo:1 targets:1 yang:1 spectral:7 established:2 what:1 errors:1 sub:2 sun:1 section:4 selected:2 current:2 consistently:1 experiment:1 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0705.0936.txt |@word proposition:2 represent:3 gt:1 customary:1 consider:5 global:1 results:18 leads:1 code:4 markers:4 cooperative:1 edu:1 go:1 partial:1 expressions:2 research:2 payoff:1 polarity:3 depend:1 tx:1 equivalence:2 environment:3 ny:1 th:3 under:4 tf:3 include:1 presentation:1 tc:7 veh:1 division:2 supported:2 provides:2 straightforward:1 very:3 dell:1 resistance:2 every:1 uwb:29 difference:2 matrices:1 presented:1 transmission:2 positions:2 solution:2 large:12 convenience:2 vector:2 excellence:1 small:3 shows:3 dip:1 noted:2 smaller:2 force:1 erformance:1 maximization:1 direct:2 pulse:5 approximation:4 rate:3 street:1 design:2 further:1 implemented:2 even:1 index:2 appear:1 diag:1 section:1 fingers:2 access:19 above:2 shared:1 increasing:5 seeks:1 3d:1 respectively:10 realizations:1 sinr:4 here:1 hundreds:1 hkj:4 reported:2 selective:6 operating:1 represented:2 based:3 19a:3 19c:1 19b:1 obtained:1 dec:1 shift:1 study:1 larger:1 completely:1 amount:1 throughput:2 studies:1 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0705.0939.txt |@word neighbors:4 represent:1 since:3 partial:1 consider:1 caused:1 magnetic:10 results:13 dynasty:1 four:1 commute:1 consists:1 mason:1 ural:2 localized:1 layers:1 looking:1 depend:1 calculate:5 zone:1 technique:2 young:3 tq:1 charge:2 does:2 tk:3 th:2 tf:7 tb:1 tc:4 mpg:1 supported:2 federation:1 g0:1 far:1 implicitly:2 mg:1 splitting:1 penev:1 electron:51 dispersions:1 difference:2 exact:2 treating:1 leads:2 hamiltonian:15 positions:6 p5:1 large:3 k6:2 vector:1 math:1 small:11 referred:1 prevent:1 zh:4 l93:1 renormalized:2 consistent:1 jepsen:6 approximation:12 go:2 zero:3 xf0:1 merge:1 accompanying:1 situated:2 quite:2 even:1 will:6 interatomic:1 appear:1 shaked:1 section:3 paulus:1 brief:1 uniform:1 cell:11 version:1 above:3 lifshitz:2 international:1 connected:1 method:20 reviving:1 3d:1 body:37 full:2 simultaneously:1 intas:1 exchange:2 respectively:3 tλλ:3 orbitals:15 atoms:1 directions:1 consideration:1 along:1 strong:11 equations:1 appears:2 superconductor:1 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0705.0944.txt |@word magnetically:1 monte:2 consider:1 gq:2 gupta:1 pairing:6 varying:1 results:21 ladders:15 per:3 edu:2 contributions:2 hemmer:1 supposedly:1 inverse:7 depend:1 calculate:1 those:2 th:5 regal:2 kwong:2 include:2 fukuda:1 divergent:1 brown:1 advantage:1 zhang:1 very:3 wave:1 affect:1 zwierlein:1 difference:2 exact:1 condition:1 believed:1 implying:1 ref:8 applicable:2 large:13 discrete:1 reliable:2 dilute:2 findings:1 consistent:3 estimates:2 sign:1 approximation:17 zero:7 complicates:1 evaluated:1 chen:2 further:1 qmc:1 estimated:1 carlo:2 quite:2 spectral:3 phaseshift:1 giving:3 section:5 near:1 expressed:1 agrees:1 3i:1 above:6 bryce:1 obvious:1 increasing:3 method:7 body:12 lee:2 degree:1 component:2 khaykovich:1 here:9 8g:1 desired:1 explore:1 groups:1 ydy:1 represented:1 slater:1 along:1 strong:1 equations:4 appears:3 change:1 obtained:8 shift:7 allows:1 experience:1 trial:2 periodic:1 resulting:4 conveniently:1 suitable:2 makes:1 involves:1 via:2 addresses:1 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0705.0947.txt |@word quarks:28 consider:5 garvey:1 comparatively:3 results:10 existing:4 leads:4 gb:3 grateful:1 consists:4 gm:1 contributions:14 weakly:1 lhc:1 roesler:1 content:2 qgsm:38 calculate:1 graph:1 γp:1 tr:1 gatchina:1 charge:11 pnpi:2 fischer:1 petersburg:3 th:2 string:25 zhang:1 very:8 rise:1 wave:4 every:2 figs:9 experimentally:3 difference:12 rapidities:1 condition:3 common:1 four:1 school:1 prod:2 impressive:1 presented:11 sorge:1 large:6 solved:1 small:13 pst:1 noted:1 configurations:3 smaller:2 compensated:1 29th:1 sukhatme:1 prediction:2 sign:1 second:5 link:1 qualitatively:2 dynamics:1 estimated:2 targets:11 scientific:1 even:2 what:1 errors:1 ranft:1 appear:2 giving:1 3q:1 above:2 3b:1 net:4 consisting:2 coefficient:1 exchange:5 respectively:6 hera:5 error:1 here:9 ozi:1 behaviour:2 asymmetry:16 objects:1 path:1 quite:2 table:3 appears:1 obtained:15 lipkin:1 multiquark:2 institute:1 larger:4 allows:3 contradiction:1 published:1 resonance:1 changes:2 φkk:1 useful:1 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0705.0948.txt |@word emile:1 sci:3 alg:1 global:3 reversibility:2 results:4 themes:1 proposition:18 generalize:1 transversally:2 consists:1 gm:7 reasoning:2 compact:4 whose:1 depend:3 ario:1 paris:2 graph:1 equivalence:5 tr:19 containing:9 γi:3 does:2 those:1 elliptic:4 under:5 analogous:1 norm:1 billard:1 2γi:1 very:3 translation:1 geometrical:1 every:7 entries:1 bounding:1 multiple:1 condition:1 entire:1 dynamiques:1 t0:2 t1:1 discrete:1 vector:1 inscribed:1 des:3 specially:1 instabilit:1 enclosed:1 universit:1 dynamics:5 canonical:1 even:1 index:3 what:2 tipo:1 shares:1 polygonal:2 birkhoff:8 sur:1 above:7 boundary:9 new:5 dtα:5 dias:3 chaotic:1 focuses:3 degree:1 respectively:2 aubry:1 component:3 reported:1 explore:1 tangent:7 departamento:1 homoclinic:7 meet:1 concluding:1 table:1 change:2 obtained:1 remark:6 divisor:6 atica:1 study:1 meiss:2 step:1 contradiction:1 suggests:1 periodic:64 homeomorphism:2 hospitality:1 deg:2 sup:1 plotted:1 hetero:4 useful:1 projection:3 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0705.0950.txt |@word partial:1 consider:20 results:5 ds:2 known:1 proposition:13 edu:1 follow:2 reasoning:1 compact:3 tx:2 γr:20 m2n:2 tq:1 finally:4 elliptic:40 under:4 kλ:3 norm:11 p2:1 belonging:5 straightforward:1 orthogonal:6 very:1 2re:1 conditions:1 induce:1 every:6 condition:4 subsets:1 level:1 did:1 complexvalued:3 t0:8 deals:1 vector:18 eigenvalues:7 anal:1 trend:1 estimates:4 direct:6 zero:14 zu:7 zq:5 canonical:1 even:2 index:7 sub:8 brackets:3 rnξ:9 sum:5 above:3 sup:3 new:5 σf2:2 method:1 σf1:1 degree:2 respectively:5 ranges:1 berkeley:3 xα:5 z0:2 z1:15 change:1 contraction:18 remark:4 study:5 studied:2 allows:2 contradiction:1 poisson:4 permit:1 sλ1:1 suitable:1 dre:1 composed:5 projection:1 classification:2 belongs:2 iz:1 evans:1 apply:1 establish:1 planck:1 derivatives:1 use:2 would:6 prove:12 recalling:1 positive:23 ej:1 negative:4 sµ:3 hilbert:2 taken:1 type:2 more:1 formally:2 operators:28 stable:12 ip2:1 particular:3 iim:7 cases:1 iv:1 iii:1 potential:1 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0705.0953.txt |@word quarks:16 gq:1 results:16 four:1 contributions:1 rd:2 charge:36 those:1 th:2 tf:3 indicating:2 zhang:1 very:1 splitting:3 bjorken:1 every:1 peripheral:3 experimentally:2 difference:13 leads:1 presented:3 c43:1 large:6 sensitivity:1 small:1 chemically:1 likely:1 α2s:1 dynamics:2 estimated:1 linear:1 will:7 appear:1 advantageous:1 favour:1 current:1 experiment:2 above:1 fractional:2 net:1 increasing:1 consisting:1 contrast:2 led:1 respectively:1 component:1 understanding:1 lep:2 berkeley:2 represented:1 path:2 along:1 strong:2 observing:3 nmf:5 search:1 shift:2 study:1 dominantly:6 akk:5 heavyion:1 glv:1 gluons:13 scaled:1 color:52 gluon:39 total:1 k0s:1 would:3 a757:1 peri:2 give:1 predictions:1 next:1 predict:1 handles:1 approach:2 kinematics:1 therefore:3 qcd:12 taken:1 theoretical:3 more:6 separated:1 partons:6 operators:1 glass:1 aleph:2 varying:1 abundance:1 collision:2 protons:6 mh:1 mt:6 vs:4 values:6 levai:1 believed:1 example:2 wang:4 figure:9 do:4 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0705.0954.txt |@word represent:2 outlining:1 cπ:7 partial:3 springer:1 illustrates:1 unflavored:1 caused:1 magnetic:1 global:1 results:14 kernphysik:1 kµ2:1 four:2 eds:1 scalar:2 expressions:1 research:1 contributions:11 3m:3 compact:1 whose:2 eu:1 depend:1 ves:3 graph:1 simple:1 tr:1 tp:2 charge:1 investigation:3 obviously:1 those:1 th:2 under:6 ekµ:6 include:1 violates:1 ingredient:1 p2:27 4m2µ:1 supported:1 6p2:1 very:8 construction:2 m2k:12 multi:1 wave:7 electron:2 witten:3 figs:4 traced:1 mixing:1 experimentally:2 exact:4 condition:1 cmm:5 cmk:1 p4:10 immediately:1 presented:3 turns:3 nucl:6 list:2 solution:1 integrated:1 large:1 vector:7 indices:1 relation:1 lines:2 prevent:1 m2η:8 fearing:2 findings:3 renormalized:3 consistent:4 coefficient:1 prediction:1 approximation:1 threshold:1 second:2 kaiser:1 ambrosino:1 further:7 dynamics:1 zw:1 odd:1 cosy:3 mπ:2 even:1 employ:2 errors:1 sub:1 rate:1 diag:2 section:4 virtualities:1 3w:7 analogously:1 uniform:1 current:1 public:1 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0705.0968.txt |@word enzo:1 magnetization:2 reservoir:1 show:1 being:1 indeed:1 over:1 displayed:1 results:3 criticism:1 vanishes:1 thermal:2 xi:8 relation:1 showed:1 statistical:3 foundations:1 momenta:1 still:1 line:3 appropriately:1 before:1 excludes:1 inverse:1 based:2 proposed:1 borges:1 conclusions:2 ln:4 description:1 dynamical:3 estimation:1 nontrivial:1 decreases:1 evidences:1 quasi:1 going:1 compelling:1 lett:4 under:1 contrary:1 pointing:1 must:1 momentum:1 equilibrium:6 do:2 them:1 contrarily:1 kb:1 di:2 propose:2 implicitly:1 reader:1 fig:3 increases:1 ones:1 nonequilibrium:1 they:2 new:1 during:3 bath:1 discuss:1 formal:1 verify:1 pertinent:1 marzolo:1 particle:2 hamiltonian:3 does:2 issue:1 arxiv:3 microcanonical:4 violent:2 summary:1 theory:1 either:1 sezione:1 entropy:1 universit:1 higher:1 stationary:1 setup:1 unaware:1 inconsistent:1 mathematical:1 body:1 fanelli:1 force:1 weight:1 relaxation:2 energy:6 correlations:2 fitting:2 direct:1 observed:1 zero:1 decided:1 proportional:1 our:8 orlandini:4 linking:1 canonical:6 even:1 what:1 total:1 submanifold:1 interacting:3 space:2 since:1 rev:5 alternative:1 consequent:1 particles:2 explain:1 extrapolate:1 version:1 use:1 between:1 reply:2 ref:1 independence:1 available:1 chavanis:1 full:4 thermodynamic:1 behavior:1 ruffo:1 state:1 initially:1 journal:1 realizations:1 fisica:1 here:2 however:1 gaussianity:1 fulvio:1 dover:1 york:1 fluctuations:2 approach:1 hand:1 valid:1 ii:1 temperature:2 motivations:1 definition:1 about:1 central:2 derivation:1 calculation:1 starts:1 density:2 wrong:2 simulation:1 april:1 range:3 cθ:2 dated:1 published:1 hence:1 pdf:3 introduced:1 expression:1 other:1 first:1 comment:5 among:1 raised:1 via:1 statements:1 cl:1 question:1 tsallis:3 system:4 pluchino:1 appropriate:1 cx:3 done:1 logically:1 applicability:1 elementary:1 false:1 cq:1 li:3 electronic:1 angular:2 considering:1 plot:1 given:1 statistics:1 publication:1 introduction:1 data:1 dipartimento:1 initial:1 informed:1 three:1 long:3 rapisarda:1 their:4 perturbations:1 statement:1 survive:1 consistent:1 recovered:1 systems:3 function:1 interparticle:1 θi:3 pd:2 relaxing:1 both:2 remark:1 explanation:1 theorem:2 proving:1 baldovin:4 validity:1 qss:13 offers:1 assumption:1 determination:1 angles:1 authors:3 x2i:4 cases:1 than:2 present:1 padova:2 case:1 infn:3 rejection:1 publicly:1 pacs:1 whether:1 fundamental:1 originally:1 work:1 see:1 us:1 final:1 limit:2 assumes:1 editorial:1 shift:2 exist:1 distribution:1 vlasov:1 dauxois:1 agree:1 address:1 mechanics:3 claim:1 constant:2 ad:1 give:1 defined:2 averaging:1 thus:1 non:1 evidence:1 states:2 barr:1 cond:3 numbers:1 point:2 simulations:3 claimed:1 lifetime:1 times:1 clearly:1 different:4 strength:1 italy:1 form:2 justification:1 βe:2 provide:2 dashed:3 make:1 when:1 isolated:1 same:1 apply:1 application:1 add:1 conditions:1 take:1 gibbs:1 answer:1 negligible:1 coincide:2 out:2 exponential:2 stat:1 extended:1 mat:3 trivially:1 may:1 appreciably:1 after:2 uniformly:1 shown:1 prepared:1 microstate:1 boltzmann:2 important:1 phase:1 changing:1 opportunity:1 hoc:1 distributed:1 mech:1 coupling:2 imply:1 nonexponential:2 calculated:1 no:1 lines:1 without:2 points:1 responsibility:1 presenting:1 components:1 correlation:2 representation:1 usual:1 order:2 incomplete:2 once:1 |
0705.0970.txt |@word results:3 gf:4 proposition:8 edu:1 consists:5 gl:1 compact:13 certainly:1 young:1 tl:3 tm:21 tj:4 aut:1 under:1 tf:50 tg:9 norm:2 g2:2 g1:3 orthogonal:1 every:1 suffices:1 t1:5 small:2 zl:1 zm:21 zn:3 zk:1 zero:3 odd:1 linear:1 appear:1 sua:1 section:6 bergman:7 above:1 new:2 increasing:1 method:1 contrast:1 full:2 lee:1 respectively:1 here:1 address:1 strong:8 z1:4 kzm:4 remark:2 algebra:9 spheres:1 action:1 ϕz:6 projection:1 classification:1 replace:1 hardy:1 univ:1 unit:10 usa:1 lemma:10 positive:3 contains:1 indiana:1 associated:1 type:1 tk:3 operators:9 everywhere:6 normalized:2 particular:1 known:2 cases:2 hold:1 iii:1 springer:1 equation:1 work:2 following:3 example:1 proof:10 f1:11 f2:8 give:1 sphere:2 tam:2 verlag:1 provide:1 s2:1 holds:1 write:3 map:1 product:2 singular:1 may:3 max:1 ζm:7 consequence:1 fm:1 lemmas:1 su:3 element:1 extremal:2 so:34 sn:18 sf:3 help:1 symbols:3 paper:4 its:1 clm:1 le:7 group:1 chosen:1 fix:2 choose:1 mail:1 main:5 non:6 now:5 2r:6 always:1 university:1 inequality:2 l2:7 each:7 reproducing:2 subset:13 qz:2 measure:1 our:2 wsn:1 special:1 rez:1 space:7 since:20 daniel:2 formula:1 induction:1 math:3 shows:3 theory:3 gf2:5 gf1:6 york:2 besides:1 ask:1 r1:8 r2:13 fa:1 phrases:1 followings:1 nonnegative:1 hence:6 onto:1 first:3 l2a:29 rudin:1 primary:1 walter:1 weak:2 open:2 given:1 cartesian:1 hyperbolic:1 introduction:1 construct:1 needed:1 gives:1 continuous:5 showed:2 was:1 mobius:1 coburn:2 any:31 depending:1 lim:2 able:1 converges:1 note:1 k1:3 take:3 begin:1 automorphism:1 class:3 tζ:2 tη:10 clear:2 later:1 coincides:1 kw:4 kz:11 usual:1 fact:2 show:5 lewis:2 supported:3 spaces:2 trivial:2 d1:1 commutators:1 analytic:1 only:1 preliminaries:2 dk:1 get:3 tbm:2 words:1 despite:2 secondary:1 closure:1 arxiv:1 suz:5 contain:3 fixed:1 kernel:1 set:3 exists:1 mutator:1 see:5 result:5 w1:1 subject:1 please:2 state:1 closed:12 invariant:2 wm:2 wf:7 recently:1 wn:1 complement:1 wl:1 wk:1 key:1 distinguish:1 topology:10 taking:1 dkm:1 com:1 ci:18 cn:7 cl:15 corresponds:1 dimensional:1 respect:2 tgl:10 kernels:1 copies:1 been:1 basic:2 wf2:1 joo:1 empty:1 define:3 tg1:10 subspace:2 bull:1 c1:1 case:4 subsets:6 will:5 euclidean:4 suppose:6 property:2 unitary:1 almost:6 metric:6 thus:2 vm:4 ii:1 ready:1 vanish:2 author:1 identities:1 pluriharmonic:1 same:1 proved:3 subalgebra:1 ball:8 v1:6 v2:9 v3:4 purpose:1 well:1 d1m:1 possesses:1 gsn:3 obtain:1 rest:1 integer:1 facts:1 lebesgue:1 point:1 ideal:8 belongs:1 theorem:6 generalized:1 using:1 c1m:1 follows:4 automorphisms:1 δm:2 sequence:7 some:5 ideals:7 choosing:1 δn:2 dense:3 does:4 bm:1 bn:76 nowhere:1 properties:2 consequently:1 inclusion:1 integral:2 weighted:1 references:1 operator:23 span:1 canad:1 there:10 question:1 inner:1 arez:3 toeplitz:14 function:5 form:3 construction:1 true:1 wf1:2 applying:1 uz:8 us:1 more:1 similar:1 called:1 interchanges:1 constant:3 defined:1 certain:2 abstract:1 combining:1 am:1 denote:12 dν:7 au:1 commuting:1 defines:1 functions:6 when:1 vanishes:7 ny:1 other:2 details:1 department:1 mathematics:2 conclusion:3 conclude:2 sided:3 commutator:2 generated:4 bounded:3 implies:5 pseudo:1 buffalo:3 |
0705.0971.txt |@word externally:1 remarkable:1 dynamic:1 results:1 yellow:3 four:2 gc:2 ionize:1 morphology:1 compact:2 presenta:1 young:3 presents:1 contours:1 very:1 frequencies:1 exception:1 algunos:1 cool:2 din:1 presented:1 shock:1 large:1 red:3 indices:1 consistent:2 rate:3 pasp:1 estimated:2 spectral:3 index:2 appear:1 temperatures:1 supporting:1 degree:1 even:1 component:2 richest:2 objects:4 l25:1 excess:4 along:1 strong:2 appears:2 extreme:1 alto:1 institute:1 study:1 allows:1 resulting:1 goss:1 clark:12 photometric:1 highly:2 apj:4 total:4 estelar:1 rodriguez:1 pollock:1 todas:1 yusef:2 type:1 today:1 more:4 flat:2 populations:1 composite:1 envelope:1 emission:10 observations:6 known:5 aligned:1 dougherty:7 must:1 account:1 car:4 supergiant:2 erg:2 thin:2 keynes:1 making:1 emisi:2 rayos:1 process:1 moffat:2 high:3 minimum:1 numbers:1 council:1 arise:1 six:1 w26:2 far:1 hot:1 cual:1 crowther:4 algo:1 galactic:5 may:2 after:1 derived:1 mag:1 sistema:1 las:2 revmexaa:1 johnson:1 ablation:1 chapman:1 ghz:4 dentro:1 fundamental:1 sc:1 mjy:1 wind:6 evolutionary:1 koribalski:1 indeed:1 interpreted:2 thermal:5 including:3 hacia:1 galaxy:3 la:4 stevens:2 circumstellar:1 detected:3 production:1 fig:2 clusters:4 main:1 into:2 lx:1 non:1 material:2 anticipated:1 band:1 now:1 hall:1 importante:1 university:1 identified:2 morris:2 kpc:2 chandra:1 each:3 l8:1 mean:1 el:2 en:5 telescope:2 kothes:2 rojas:1 astrophysical:1 expect:1 our:1 es:1 canada:1 shown:1 surrounded:1 research:1 outburst:1 interactions:1 galaxies:1 possibility:1 que:3 brightest:2 members:2 companion:1 interaction:1 resumen:1 massive:11 leitherer:2 striking:1 cada:1 another:1 array:1 open:1 rayet:1 introduction:1 their:1 listed:1 williams:2 too:1 fraction:1 para:1 rsg:2 optical:3 somewhat:1 zadeh:2 blondin:1 than:1 milton:1 l43:1 distance:2 observatory:1 dyson:2 likely:4 submitted:2 estrellas:2 were:3 lbv:3 ram:1 spectrum:2 cometary:1 any:4 ray:2 rsgs:3 circles:1 blue:1 centre:1 eruption:1 most:2 cnrc:1 significant:1 colliding:2 objetos:1 binaries:1 observation:1 flow:1 se:1 kt:1 physics:1 nebula:1 show:1 discovered:1 mnras:4 bright:1 radio:25 giant:1 parameters:1 ngc:1 should:1 only:1 emitting:3 population:4 rica:1 observaciones:1 de:12 estrella:1 ionized:2 amico:1 words:1 supergiants:3 during:1 ssc:3 evolution:1 resolve:1 continuum:1 arxiv:1 vacca:1 shocks:1 national:1 clumping:1 detection:1 individual:2 sean:1 luminous:2 w9:9 detect:2 irs:1 muy:1 identification:1 envelopes:1 between:1 discovery:1 comparable:3 wd:12 wc:1 spectroscopic:1 hypothesis:1 wr:9 como:1 kev:1 emitter:1 many:1 region:1 una:2 con:3 among:2 key:1 point:1 ca:1 ucl:1 tiene:1 unusual:1 carina:2 source:2 addition:1 due:2 been:2 basic:1 expected:2 ph:1 systems:1 obtained:2 corresponding:1 nrc:1 westerlund:8 gal:1 representative:2 former:1 intriguing:1 ejection:1 casi:1 will:1 taking:1 almost:1 characteristics:1 ir:2 cluster:10 binary:2 different:1 perhaps:1 suggest:1 rband:1 radiation:1 potentially:1 negueruela:4 survey:1 several:1 difficult:1 extended:4 goodwin:1 counterparts:1 possible:1 dust:2 opportunity:1 coincident:1 nearby:1 arising:1 being:1 observed:1 sources:2 underlying:2 distant:1 previous:1 yr:4 corroborated:1 similarities:1 discuss:1 hay:1 unprecedented:1 resolved:1 australia:1 around:1 putative:1 reddened:1 unique:2 loss:3 like:1 cooler:1 interestingly:1 flux:1 hypergiants:3 often:1 sequence:1 some:3 examples:1 images:1 overlay:1 jsc:1 greyscale:1 stellar:7 pressure:1 post:2 super:2 properties:2 ob:1 range:1 wolf:1 dominion:1 rango:1 own:2 previously:1 image:2 within:1 references:1 raises:1 determine:1 hartquist:1 there:1 hadfield:1 los:2 stars:18 astrophysics:1 but:2 astro:1 fors:1 un:2 uk:2 stages:2 similar:3 ac:1 associated:1 abstract:1 aj:1 evidence:2 av:1 field:1 other:2 optically:2 herzberg:1 star:9 walton:1 peak:1 astronomy:1 structure:1 lang:2 happening:1 masa:1 typically:3 together:1 ensuring:1 mass:6 having:2 |
0705.0972.txt |@word monte:1 gs:8 consider:1 illustrates:1 magnetic:3 results:4 softer:1 edw:1 lewenstein:3 research:2 increase:1 calculate:1 aug:1 nonlocal:2 stable:12 spec:1 func2:1 very:1 dell:2 gind:17 wave:17 nesting:1 summarized:1 blume:1 difference:1 vibrational:1 hamiltonian:1 did:1 integrating:1 bohn:2 large:1 vector:1 damle:2 small:3 possibility:1 demille:1 murthy:1 blatter:1 approximation:1 second:2 displays:1 further:2 carlo:1 linear:2 even:2 3y:1 trapping:1 rd3:1 sum:1 expressed:2 d3:8 values:4 increasing:7 contrast:1 3d:7 troyer:1 condensed:1 respectively:1 component:5 here:3 atoms:5 2kf:7 cylindrical:1 ansatz:1 pancake:2 excess:2 alone:1 along:8 strong:1 z2:2 obtained:1 stark:1 weinstein:1 study:1 studied:1 suggests:1 periodic:2 resulting:1 interac:1 resonance:1 fourier:1 numerical:1 via:3 stabilization:1 scaled:2 modulated:4 translational:1 condensates:3 total:1 shlyapnikov:2 conventional:1 proceed:2 usa:1 army:1 positive:1 contains:2 negative:1 therefore:1 taken:1 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0705.0973.txt |@word secondly:2 todays:1 schlegel:1 four:1 prefix:1 whose:1 calculate:4 subcomponents:1 under:4 worth:2 rise:1 balcells:3 figs:1 affect:1 aeronautics:2 miller:1 direct:1 likely:17 blue:41 established:4 ned:2 selected:1 dr4:2 above:5 new:4 increasing:1 harbors:1 evolving:1 here:1 adelman:3 represented:1 interpret:1 obtained:1 study:3 prints:2 divide:4 classification:5 wyse:1 total:24 plot:7 would:3 noting:1 kinematics:1 therefore:16 distortions:1 type:52 separated:1 populations:6 composite:1 berlin:1 separates:7 hole:2 must:2 springer:1 mo:1 work:3 mr:6 root:1 example:7 give:2 relativistic:1 organized:1 magnitudes:9 david:1 absolute:1 how:2 hot:4 significance:1 answer:1 symposium:1 classify:4 earlier:3 kennicutt:8 diagram:1 summarize:1 law:1 types:28 third:2 maintain:1 decreasing:2 operate:1 order:3 feedback:5 office:1 over:5 japan:1 fit:11 destroyed:1 compelling:2 fig:12 easier:1 versus:3 them:7 affected:2 combination:2 pseudobulges:65 break:1 band:2 effects:3 they:14 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