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0705.3086.txt |@word precise:1 monte:1 measurements:1 sci:1 consider:5 gq:1 rev:7 splitting:3 four:7 mild:1 squarks:5 contributions:1 semiconductor:1 depend:2 calculate:2 tt:3 tu:1 tr:1 answered:3 finally:2 tracker:1 present:2 excluded:1 discovering:1 applied:6 confirmation:1 g3:1 g2:2 g1:1 very:8 mg:13 choice:1 endpoint:4 figs:1 mixing:2 experimentally:2 difference:6 exact:1 tagging:1 dominate:1 solves:1 level:8 sundrum:1 tokyo:2 scalar:4 correct:2 large:10 small:2 gauge:4 mangano:1 trt:1 added:1 upper:4 smaller:7 consistent:5 lightest:5 prediction:4 peccei:1 approximation:1 mll:1 invariant:12 estimated:2 carlo:1 tev:17 linear:1 even:5 neutralino:1 what:1 errors:1 g22:2 trivial:1 section:12 selected:3 tohoku:1 current:2 reheating:1 above:2 order:10 satisfy:2 ibid:1 respectively:7 here:2 lep:1 tracks:4 mev:1 smearing:1 groups:2 excess:1 based:1 drell:1 quark:2 change:1 obtained:4 search:2 cern:2 shift:1 study:5 studied:4 resulting:1 procedure:3 chain:2 shaded:1 makes:1 γq:1 via:2 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0705.3087.txt |@word sci:1 consider:4 remarkable:1 similarity:4 results:3 nottingham:3 scalar:6 proposition:6 generalize:2 primes:1 gl:26 gk:10 2r0:2 whose:3 providence:1 γk:3 γj:1 tj:1 th:2 under:4 exposition:1 analogous:3 multilinear:1 nonassociative:1 norm:20 division:3 belonging:1 straightforward:2 orthogonal:2 far:2 could:1 2rd:1 cay:4 choice:1 corollary:2 every:23 condition:1 dim:7 school:1 lam:1 obvious:1 trl:4 implying:2 irreducible:6 notes:1 involution:5 vector:14 drop:1 sp2:1 round:3 zl:3 zn:10 mn:3 zi:3 q1m:1 direct:4 fold:4 zero:4 remainder:1 further:1 reine:2 uhrung:1 odd:8 canonical:2 bilinear:6 index:1 what:1 plays:3 appear:1 invertible:5 sum:5 analogously:1 d0:5 above:7 sup:1 3c:1 new:5 susanne:1 contrast:1 satisfy:2 notions:3 degree:96 respectively:17 mr:2 here:3 behaviour:1 situation:2 represented:2 respect:1 z1:14 change:2 obtained:3 remark:14 generalizing:1 study:3 united:1 contradiction:1 suggests:1 products:1 permit:3 hospitality:1 suitable:8 makes:2 uniquely:2 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0705.3088.txt |@word coo2:7 miyazaki:1 sci:1 consider:1 magnetic:1 focus:1 facilities:1 consists:1 contributions:2 localized:2 whose:3 hump:3 charge:1 okada:1 wako:1 under:2 case:5 sitting:2 far:3 continues:1 seemingly:1 results:6 oxides:1 denoted:1 electron:4 figs:1 hirosawa:1 experimentally:3 24th:1 common:1 level:3 suffices:1 t2:22 t3:23 t1:23 large:37 solid:5 vector:2 phase:1 guiding:3 small:8 degeneracy:3 upper:1 smaller:2 findings:1 cosh:1 past:1 fold:1 second:1 design:1 enhancement:3 go:1 500k:1 qualitatively:2 chem:1 blue:1 cobaltites:1 plays:1 while:5 t2g:3 motohashi:1 experiment:2 above:4 designing:2 new:2 increasing:2 filled:1 3d:3 condensed:1 lee:2 ibid:2 respectively:1 orbitals:3 magnetism:4 mev:1 focused:1 2kb:2 alone:2 consideration:1 along:1 strong:4 knowledge:1 obtained:2 cobaltate:1 study:7 larger:6 trial:2 resulting:1 studies:3 cancellation:1 plotted:3 followed:1 highly:1 brought:1 addressed:1 decrease:1 summation:1 apply:1 should:2 plot:4 conventional:1 takes:1 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0705.3089.txt |@word yamaguchi:1 now:2 consider:4 onde:1 show:1 λz:1 over:2 authors:1 obtain:3 product:2 known:1 computation:1 hypersurface:1 keywords:1 satisfies:2 iu2:1 progress:1 its:1 compact:3 jose:1 finally:1 ime:1 re:1 interesting:1 kon:1 2e1:3 archiv:1 new:4 forms:2 lemma:1 only:3 complex:2 formative:1 inner:1 stability:1 theorem:10 derivative:1 dover:1 main:1 local:1 hopf:1 eigenvalue:1 je2:1 non:3 dimensions:1 cheng:1 straightforward:1 legendrian:2 conclude:1 dg:1 de:4 results:1 elementary:1 da:1 mention:1 know:1 formula:1 press:1 using:5 miyahara:1 postal:1 implies:1 differentiating:2 areas:1 discovered:1 δz:1 y1:3 follows:7 w2:2 differential:4 annals:1 berlin:2 y12:1 orthonormal:2 lawson:2 vector:7 minimal:19 always:1 soc:3 equation:8 us:2 riemannian:2 arxiv:1 neil:1 formulas:1 lecture:1 frame:2 some:2 gaussian:6 jr:1 iu1:1 second:5 computer:1 w3:2 result:2 w1:1 further:1 alternative:1 subject:1 brazil:2 basic:1 y2:1 appear:1 coframe:3 space:3 federal:1 section:3 codazzi:3 ıba:1 estat:1 proof:5 various:1 above:2 between:5 invariant:3 geometric:1 x21:1 math:5 x22:1 choose:1 basis:2 give:3 dθ1:1 complementary:2 equivalent:1 each:1 use:2 departamento:2 atica:3 york:4 jo:1 tangent:4 here:1 br:4 tz:1 amer:2 equations:6 properties:1 z2:4 e2:17 definition:1 instituto:1 last:1 2n:1 dθ12:2 geometry:6 study:3 theorems:1 discussed:1 o:2 spheres:1 connection:1 objects:1 sympletic:1 arccos:1 hence:2 introduced:1 scope:1 first:3 orientable:2 reduce:1 via:1 real:1 besides:1 classification:2 characterization:5 notes:1 into:1 unitary:1 geodesic:1 dimensional:1 hermitian:1 f3:11 references:1 laplacian:5 determine:2 frames:1 moreover:1 precisely:1 positive:1 unit:3 clifford:13 notion:1 identically:1 given:8 minimality:1 fields:2 prove:3 introduction:1 e1:17 there:1 u1:5 three:2 been:1 z1:2 vol:7 sin2:3 pub:1 der:1 therefore:7 reader:1 ufpb:1 pessoa:1 associated:2 was:1 tan2:1 today:1 more:2 function:2 case:1 complete:1 para:1 iei:2 immersion:3 dθ3:2 arc:1 usp:1 cos:18 but:1 w12:2 reeb:1 surface:15 graphics:1 x2:7 c2:3 bennequin:1 x1:3 ishikawa:1 manifolds:2 must:1 e3:6 condition:2 springer:1 je1:1 characterizations:1 characteristic:2 mat:1 df1:1 see:2 df3:1 df2:1 will:2 note:2 ıstica:1 suppose:1 sec2:1 following:14 distribution:4 gives:2 example:1 examples:5 f1:5 f2:6 iz:5 constant:10 w21:7 played:1 defined:1 abstract:1 congruence:1 thus:3 matem:3 ao:3 general:1 sphere:4 diverse:1 exist:1 heidelberg:1 rodrigo:1 tan:9 null:1 dβ:9 universidade:2 proc:3 montes:2 vlachos:1 angle:26 form:3 define:1 provide:1 ie:1 u2:5 orthogonal:1 when:1 american:1 paulo:2 field:5 pura:1 verifies:1 role:1 details:1 papers:1 mathematics:5 proved:2 sin:9 classify:1 higher:1 development:1 surfaces:14 guises:1 used:1 centuries:1 normal:1 may:1 dθ2:1 immersed:7 blair:2 applications:2 moving:1 curvature:6 verified:1 totally:2 pages:1 structure:3 remark:1 gauss:3 caixa:1 de3:1 fied:1 torus:13 springerverlag:1 coeficients:1 academic:1 contact:28 fundamental:3 mathematik:1 chemistry:1 physics:1 order:1 fact:1 covariant:1
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0705.3090.txt |@word limited:3 consider:1 maximum:1 separates:1 activated:4 resistance:11 gy:1 four:1 follow:1 localized:2 certainly:1 eu:2 depend:3 concerned:1 technique:1 finally:1 does:1 indicate:1 under:1 nodes:3 must:1 case:7 random:3 very:11 activation:3 amorphous:1 results:8 blockade:2 electron:2 putting:1 eq:2 experimentally:2 difference:6 common:1 leads:1 exponential:1 level:1 positions:3 nattermann:4 shklovskii:3 large:5 discrete:1 convenience:1 small:4 prevent:1 smaller:3 slower:1 disordered:1 miller:2 past:1 likely:3 eπ:1 zu:1 theory:1 even:1 arvi:1 errors:1 sum:2 uniform:3 sequential:1 goes:4 new:6 occupation:1 acknowledgments:1 thin:1 outgoing:1 full:3 christophe:1 ibid:1 fiz:2 eksp:2 spacing:3 here:2 understanding:1 behaviour:1 inverse:1 others:1 path:8 along:4 strong:12 equations:3 change:1 balance:2 incoming:1 study:4 studied:2 allows:1 hops:11 resulting:1 poisson:1 narrow:1 changes:2 pathological:1 equivalence:1 see:4 semiconductors:6 prefer:1 replace:2 visible:1 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0705.3091.txt |@word limited:2 code:1 partial:1 consider:5 gp:7 crucial:1 global:1 results:6 integration:1 leads:1 vmax:1 scalar:2 entropy:1 overlap:1 grateful:1 go:1 perturbations:2 gm:6 involved:1 contributions:1 cases:2 localized:9 devoted:1 whose:1 ver:1 γv:1 ρgr:3 environment:2 finally:5 tm:2 c5:1 th:1 stable:4 include:1 cm3:6 tc:3 γe:4 p2:3 supported:2 jensen:1 far:4 mpl:7 wave:19 putting:3 summarized:2 affect:2 difference:1 appropriately:1 condition:9 four:2 basics:1 ochanomizu:1 immediately:1 did:1 turns:8 shock:3 t2:1 solution:5 t0:8 try:1 solved:1 small:7 originally:1 prevent:2 smaller:6 force:6 occurrence:1 periodicity:6 inevitably:3 trend:1 consistent:1 direct:1 demonstrations:1 empirical:1 tex:1 surrounding:1 rate:14 resultant:1 tb0:3 insertion:1 further:11 dynamics:3 estimated:5 wmap:1 even:6 intimately:2 plays:2 eng:1 diag:1 section:14 probably:2 brief:1 expressed:2 uniform:6 consistently:1 version:1 above:18 lifshitz:1 3c:1 new:2 ever:1 method:1 contrast:1 coefficient:1 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0705.3092.txt |@word consider:5 aliev:1 interference:1 magnetic:6 results:3 existing:1 leads:2 scalar:2 signatures:2 osm:3 liao:1 remarkably:1 vev:1 wc:1 calculate:2 ac02:1 b196:1 tr:5 finally:1 contours:1 th:3 under:1 division:1 supported:2 far:1 electron:3 ultraviolet:1 mixing:1 exact:1 cheung:1 large:4 vector:4 minimal:1 small:1 dis:1 still:1 jhep:1 unexpected:1 wmag:1 consistent:2 measurable:2 rate:2 unparticle:64 correlator:1 chen:1 further:1 cft:6 odd:1 even:1 what:1 appear:1 section:1 interactions:1 version:1 poles:1 above:2 new:5 increasing:1 contrast:1 simultaneously:1 respectively:3 realizations:1 berkeley:2 standard:4 change:1 study:2 allows:1 suggests:1 superpotential:2 usually:1 hospitality:1 changes:1 scales:4 forbid:1 modifying:1 visible:1 ipx:1 meson:2 propagators:1 csaki:1 use:1 takes:1 would:7 remains:1 contains:1 predictions:2 next:1 scenarios:1 nucl:3 m6:1 call:1 therefore:3 qcd:5 type:2 theoretical:1 more:2 separated:1 duality:2 composite:1 becomes:4 operators:12 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0705.3093.txt |@word magnetic:2 desirable:1 four:1 localized:1 calculate:1 theorique:1 γt:3 presents:1 γj:1 γi:5 matlab:1 under:2 downstream:1 dynamic:1 rise:1 jack:1 experimentally:2 school:1 solution:18 frozen:1 vector:1 red:3 concise:1 consistent:3 direct:2 approximation:5 likely:1 qualitatively:1 estimated:1 shining:1 even:1 trapping:2 iterating:1 ˆb:13 pgpe:2 new:5 increasing:5 evolving:1 becs:5 here:6 atoms:5 logarithmic:1 study:3 aki:1 procedure:1 appropriately:2 constrictions:1 achievable:1 total:3 unit:1 plot:7 waveguides:2 negative:12 m1:1 therefore:5 type:3 until:1 separated:1 populations:5 berlin:2 hole:14 must:4 springer:2 dodd:1 mm:2 ml:1 setup:1 work:4 mj:3 mv:2 burnett:4 cond:1 example:1 leonhardt:4 give:2 nozzle:16 indicates:4 degenerate:2 times:3 absolute:1 provide:1 verify:1 ultracold:1 far:1 nontrivial:1 fudge:1 description:4 oscillators:1 containing:2 diagram:4 modest:2 summarize:1 law:1 excited:1 effective:3 maintain:1 davies:1 decreasing:2 order:24 figs:1 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0705.3094.txt |@word secondly:4 magnetic:72 comparatively:3 four:1 entropy:46 consists:1 demagnetization:1 whose:1 const:2 calculate:4 aug:1 under:7 conjecture:1 rise:2 every:1 experimentally:4 special:4 selfconsistently:2 solution:3 ǫk:1 convenience:1 vector:8 degeneracy:3 monotonous:1 excited:1 consistent:1 direct:2 millet:3 approximation:20 second:4 j22:1 qualitatively:4 even:3 sj2:3 selected:1 while:11 localized:2 above:36 ˆh:1 new:2 increasing:7 coefficient:4 philippe:1 bi:1 simultaneously:1 behavior:20 here:14 diagonal:4 diagnostic:1 logarithmic:3 obtained:16 study:7 suitable:2 changes:6 der:1 explained:3 highly:1 visible:2 counts:1 total:7 plot:14 would:5 negative:9 discrepancies:1 therefore:14 spike:4 type:3 until:2 separates:1 aligned:1 must:5 mf:1 word:1 mc:5 work:4 temperatures:21 root:2 example:6 indicated:3 give:10 cited:2 discovery:1 caution:2 degenerate:2 goff:1 absolute:6 provide:2 feature:4 very:5 nematic:5 description:4 thermodynamic:17 oscillators:1 after:1 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0705.3095.txt |@word gt:1 results:2 plenary:1 leads:2 scalar:26 gc:6 talks:1 devoted:1 inverse:10 calculate:1 tt:1 tail:14 reissner:1 th:2 under:3 burko:3 string:1 very:3 wave:1 cardoso:1 condition:1 presented:1 turns:1 nucl:1 t2:1 solution:4 damped:1 solved:1 vector:1 small:1 gauge:2 mκ:2 fµν:2 slower:2 oscillation:2 prediction:1 rate:6 qualitatively:1 odd:1 situated:2 even:1 established:1 what:2 plays:2 dr2:2 contributed:1 3n:1 above:5 international:1 method:2 body:2 edited:1 outgoing:1 multipole:3 component:1 khanna:1 behaviour:30 reported:1 relaxation:1 consideration:3 along:4 equations:1 change:1 extreme:1 tortoise:1 institute:1 studied:7 resulting:1 action:2 resonance:1 pullin:1 fourier:3 spacetime:14 concerned:1 regardless:1 elaborated:2 eiφ:3 brought:1 unit:1 eddington:1 eiωt:1 use:2 charge:2 proceed:2 positive:1 whittaker:1 contains:1 quasi:1 ψt:1 next:1 moderski:3 comparing:1 depicted:1 ψi:3 m2:5 refs:1 flat:1 falloff:1 curvature:5 virtue:1 hole:28 iii:2 obeying:1 account:2 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0705.3107.txt |@word four:2 assembled:1 skeleton:2 whose:2 paris:2 under:5 worth:1 alternating:2 rise:2 misunderstanding:2 every:90 vector:1 yuzvinsky:2 second:3 even:1 established:1 incompatible:1 specification:2 above:16 new:2 increasing:2 never:2 equals:5 here:7 met:1 path:1 contraction:2 obtained:13 suitably:1 study:9 explained:1 glance:1 total:17 unit:1 would:7 inductive:2 negative:1 noting:1 call:3 therefore:11 type:38 until:1 separated:1 berlin:2 separates:1 hole:1 hold:6 must:2 springer:1 orner:7 ma:8 work:9 matroid:40 mp:4 concepts:2 mx:2 pontecorvo:1 indicated:2 give:12 preserving:4 organized:1 generically:1 scand:1 want:4 end:1 renumbering:1 verify:1 how:1 answer:3 polytopes:2 description:3 after:3 diagram:3 brylawski:1 summarize:1 las:1 attempt:3 green:1 enter:2 order:52 restriction:1 interpretation:1 over:1 satisfied:1 thesis:1 satisfies:20 before:3 fix:5 writing:1 better:1 maximal:28 them:1 combination:1 they:5 represents:1 grammar:1 each:2 side:3 meets:1 principles:1 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0705.3108.txt |@word mπ20:2 monte:1 caused:1 lack:1 results:1 fapesp:1 illustrated:2 consists:1 contributions:2 causes:1 increase:1 bremsstrahlung:3 mπ2:3 mπ0:1 finally:1 program:3 those:1 include:3 p2:1 amplitudes:6 jensen:1 downstream:3 electron:9 entries:4 difference:2 tagging:1 four:4 internally:1 level:1 trd:5 magnet:2 small:2 5mev:4 semileptonic:2 fearing:1 bock:1 consistent:2 requirements:3 estimates:1 prediction:4 fold:2 second:2 dynamics:1 estimated:3 carlo:1 mπ:1 errors:1 chicago:2 sum:1 find:2 current:4 experiment:2 reconstruction:3 counters:1 full:2 escaping:1 ibid:1 exchange:1 respectively:3 unobserved:1 understanding:1 tracks:5 mev:3 separation:1 address:1 slater:1 tevatron:1 search:1 institute:2 studied:1 ignoring:1 cesium:1 studies:1 via:1 followed:1 ratios:2 barker:1 neutrino:3 total:5 select:1 corrupted:1 use:1 figure:3 commun:1 de0:1 positive:1 only:1 next:2 calculation:4 sample:2 call:1 therefore:2 qcd:2 themselves:1 selects:1 theoretical:3 diagrams:1 more:2 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0705.3109.txt |@word weisberg:3 bc:3 four:4 consists:6 sch:10 whose:2 u3:4 const:3 patches:1 physiological:1 bimetric:1 γi:6 under:5 γe:11 parallax:2 sathyaprakash:1 updated:2 replaces:1 summarized:3 p4:1 lorentzinvariant:1 spacecraft:2 xa0:1 vector:3 chen:1 α2a:1 α2b:1 sion:1 force:2 zerilli:2 concise:1 estimates:3 direct:13 pulse:8 approximation:10 second:18 rigorous:3 implemented:1 even:16 faye:4 dr2:1 above:31 new:20 contributes:1 consisting:1 coefficient:10 evolving:1 behavior:1 here:29 refinement:1 pati:3 auxiliary:1 logarithmic:5 schiff:1 obtained:14 balance:1 suitably:1 rests:1 study:3 controversy:1 paris:2 complicated:5 suitable:4 spacetime:6 kates:1 attractor:2 wyss:1 explained:2 replace:1 brought:1 visible:1 cassini:10 total:5 linearly:1 derivatives:1 charge:2 would:14 motivate:1 negative:5 possibles:1 m1:10 therefore:15 m2:10 zlochower:3 type:16 tell:1 hoffmann:1 successful:1 naive:1 curvature:2 correspondingly:1 excellent:1 hole:23 must:18 ma:93 mc:1 mb:60 work:9 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0705.3112.txt |@word sector:1 katz:1 gs:2 consider:8 chain:11 gv:1 alg:1 lack:1 splitting:3 unchanged:1 four:7 scalar:1 comments:2 computation:10 c2:2 consists:1 expressions:4 denotes:4 2n1:7 vev:1 γz:4 preserves:1 depend:1 re:2 concerned:1 technique:4 including:3 γk:6 list:1 finally:2 critical:1 alvarez:1 those:9 th:24 under:11 analogous:3 γe:1 summarizes:1 case:15 belonging:1 amplitudes:12 string:19 g1:2 orthogonal:7 very:4 connects:1 results:9 suggesting:1 l5:2 invent:1 fall:1 hatted:1 span:1 difference:1 exact:6 4n4:1 rewriting:1 specify:1 riemann:2 z18:1 level:2 turns:1 t4:2 t5:1 t2:11 applicable:2 t1:3 solved:1 vector:19 phase:1 min:1 small:4 relation:2 degeneracy:1 jhep:1 zn:15 gs2g:1 lefschetz:1 ten:1 b28:4 b27:3 b26:3 sin4:1 b24:2 b23:2 b22:3 b21:8 second:18 compensates:1 insertion:4 rigorous:1 further:2 cft:5 theories:1 odd:2 zq:1 linear:1 even:9 index:3 what:1 superalgebra:1 developed:2 appear:1 iterating:1 cast:1 giving:2 trivial:1 section:18 transforms:1 analogously:3 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0705.3113.txt |@word limited:2 represent:2 magnetic:2 yellow:1 four:3 heliocentric:1 poorly:1 whose:1 ergs:1 paris:1 segments:3 quadruple:1 under:6 worth:1 neuh:2 kokubo:4 figs:1 overcomes:2 affect:3 encounter:33 believed:2 hubickyj:1 bodenheimer:3 enhance:1 venus:2 force:4 10m:1 consistent:1 estimates:1 direct:5 goldreich:2 approximation:3 surrounding:1 likely:4 tangential:2 chen:2 estimated:3 even:9 established:1 revised:2 while:6 consequent:1 above:7 new:5 net:2 increasing:3 shocks:1 coefficient:1 philippe:1 albanova:1 here:4 podolak:1 reported:1 fukagawa:1 represented:1 obtained:1 study:5 adopting:1 changes:1 numerical:13 diameter:1 total:1 univ:2 plot:1 would:10 discrepancies:1 therefore:1 e2:1 type:23 until:1 separated:3 populations:3 disruption:1 trojans:1 ward:2 aligned:2 must:4 mb:14 work:1 mj:1 henry:1 example:2 indicated:3 times:5 end:1 feature:1 how:10 imbedded:1 strom:2 shortens:1 after:4 55m:1 law:1 types:1 effective:3 38th:1 nakagawa:1 encompassing:1 green:3 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0705.3114.txt |@word secondly:1 gt:4 homomorphism:2 consider:17 breadth:1 pairing:1 magnetic:1 varying:1 results:4 gy:1 leads:1 obstruction:1 proposition:28 travaux:1 consists:1 gn:32 gm:2 gi:12 gh:4 compact:3 whose:9 inverse:2 tz:12 tx:10 paris:1 tt:1 equivalence:1 tr:1 contained:1 containing:2 finally:1 γn:38 γm:2 under:5 eprint:1 td:3 te:1 tb:1 honor:1 applied:3 nouvelle:1 supported:1 g2:4 g1:11 orthogonal:1 transitively:7 rise:3 translations:2 compacts:1 choice:6 corollary:7 valued:30 every:5 commute:1 ui:1 difference:1 exact:1 condition:1 school:1 dynamiques:1 hamiltonian:79 descend:1 notes:2 pullback:1 discrete:4 vector:8 red:1 anal:1 gruyter:1 9pl:1 still:3 upper:1 zn:2 des:2 zd:5 peixoto:1 second:4 concludes:1 further:1 dynamics:1 implemented:1 fibres:7 canonical:4 even:3 index:2 what:1 sud:1 developed:1 invertible:2 giving:2 sum:1 shares:1 symmetric:2 above:11 replaced:2 consisting:2 gγn:3 satisfy:1 full:1 chose:1 dunod:1 respectively:2 fernandes:2 component:1 here:4 guise:1 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0705.3117.txt |@word sci:1 consider:1 caused:1 magnetic:29 particular:2 results:15 leads:3 ge:1 alx:1 expressions:1 contributions:7 hole:16 whose:1 depend:2 calculate:1 supported:1 finally:2 critical:1 under:2 analogous:1 cm2:1 case:5 random:2 straightforward:1 g0:42 very:5 splitting:7 electron:7 figs:2 summarized:1 experimentally:5 difference:6 condition:1 presented:7 t0:2 large:7 solid:5 differential:2 interpolating:1 small:9 khalatnikov:1 noted:1 dis:1 dilute:2 zh:2 disordered:4 dealing:1 sign:5 second:6 castro:4 qualitatively:1 quite:1 shashkin:2 even:1 what:1 brackets:1 interactions:1 bergman:1 experiment:2 above:2 new:1 net:2 contributes:1 method:3 stern:1 edited:3 reliably:1 ibid:1 exchange:1 respectively:4 here:2 agreement:1 ranges:1 δσxx:15 possibility:1 relaxation:2 directions:1 path:1 along:1 strong:4 equations:3 change:6 finkel:2 obtained:8 institute:3 leaves:1 studied:8 allows:1 reports:1 guide:1 loop:2 wl:3 knyazev:1 suitable:1 studies:2 plotted:2 lowers:1 f0:3 followed:1 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0705.3119.txt |@word disp:1 represent:1 now:1 pointing:2 bellaterra:3 results:4 existing:1 four:1 spiridonov:1 dish:1 denotes:2 ose:1 optical:3 bremsstrahlung:1 chain:1 aug:1 description:2 technique:2 black:4 environment:5 tail:1 contours:12 excluded:1 indicating:1 2mass:1 mpg:3 supported:1 very:3 jolla:1 none:1 readout:1 indication:1 jacon:1 cyan:2 emphasized:1 difference:1 excited:2 wind:1 magic:52 presented:2 positions:1 shock:4 large:3 small:1 noted:1 upper:1 ifae:1 hore:1 bock:2 bution:1 consistent:3 bastieri:1 za:2 ogler:1 bartko:4 second:2 noise:1 multiwavelength:1 further:1 implemented:2 gaensler:2 tev:5 spectral:7 index:2 errors:6 fact:1 l205:1 orres:1 ecker:1 19th:1 version:2 above:6 new:3 order:1 method:2 canarias:1 full:1 led:1 elect:2 respectively:1 here:6 baring:2 hours:2 reported:4 mev:1 separation:1 excess:16 directions:2 strong:1 muchachos:1 whipple:1 unidentified:1 osch:1 institute:1 larger:2 step:1 knapp:1 trial:1 amount:1 resulting:2 changes:1 involves:1 diameter:1 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0705.3120.txt |@word code:3 consider:2 unshocked:1 magnetic:3 lack:1 results:4 month:1 switches:1 expressions:1 inverse:1 depend:1 paris:1 γp:1 2004b:5 finally:7 does:9 contours:2 under:1 lra:1 case:1 worse:1 straightforward:1 very:8 implicitly:1 keeping:1 wave:1 affect:1 blast:1 exact:5 condition:3 level:2 did:1 shock:56 t2:2 solution:19 t0:16 occurs:1 large:5 solid:7 small:2 enforce:1 upper:2 des:2 boca:1 jump:2 astrophys:2 rate:1 value:2 dynamics:13 ode:5 linear:2 even:4 index:1 what:1 errors:1 hide:1 appear:1 section:21 selected:1 lhomond:1 reminiscent:1 odes:1 above:2 flowing:1 new:2 net:1 method:8 contrast:2 shocks:44 respectively:1 never:1 spacing:1 here:3 hundreds:1 behaviour:2 objects:1 illustration:1 relaxation:3 based:1 along:2 strong:5 equations:7 implicit:4 box:1 study:1 studied:1 allows:2 suggests:1 resulting:2 makes:1 helps:1 departures:1 composed:2 cabrit:2 scales:4 decrease:2 apply:2 total:1 plot:2 use:9 quasi:37 takes:1 would:1 analytic:10 positive:1 uniformly:1 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0705.3121.txt |@word secondly:1 limited:1 dynamic:1 powders:1 entropy:6 consists:1 const:1 calculate:1 γj:2 under:4 conjecture:2 reversibility:1 rise:2 every:1 experimentally:2 exponential:6 solution:1 humidity:1 vector:1 force:15 coordinate:2 concise:1 consistent:1 direct:3 approximation:3 second:3 rigorous:1 estimated:1 even:3 established:3 dufty:1 above:2 new:2 increasing:2 consisting:1 pioneering:1 simultaneously:1 never:1 equals:7 here:5 path:6 logarithmic:3 dry:13 rests:1 elaborate:1 changed:1 approaches:2 ignoring:1 fourier:1 changes:1 diameter:2 visible:1 fournier:1 total:3 unit:1 plot:2 would:1 abbreviations:1 negative:4 therefore:6 type:2 until:5 successful:1 hold:2 work:6 mi:7 mt:1 temperatures:1 concepts:1 root:3 indicated:2 give:2 organized:1 indicates:3 want:1 times:4 yang:1 end:4 eng:1 provide:1 verify:1 how:3 widespread:1 description:3 after:7 law:6 types:1 plies:1 third:8 think:1 nascent:1 decreasing:2 herminghaus:7 acknowledges:1 order:13 origin:2 over:8 affect:2 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0705.3122.txt |@word represent:1 externally:1 saturating:1 consider:3 limited:3 crucial:1 particular:3 dynamic:1 results:9 existing:1 leads:6 roy:1 avalanche:33 comments:1 grateful:1 conservative:1 centers:1 localized:2 devoted:1 whose:3 certainly:2 depend:3 zone:27 wittmer:2 paris:2 iii:3 γp:1 rf:2 presents:2 quasi:5 investigation:1 indicate:3 those:2 under:2 analogous:1 eliminate:1 conservation:1 ǫc:39 updated:1 global:1 broadly:4 acoustic:3 very:3 rise:2 amorphous:6 falk:1 probability:1 orientations:1 summarized:1 affect:2 associated:6 deformations:1 condition:4 illustrated:1 π2n:1 washing:1 δt:2 level:1 turns:2 anisotropy:1 list:1 solution:1 correct:1 large:4 solid:2 adjust:1 scalings:2 small:4 unstrained:1 ups:1 dis:1 abbreviated:1 smaller:1 force:3 disordered:2 consistent:4 estimates:1 prediction:2 suffices:1 sign:1 past:2 surrounding:1 zero:7 ǫm:2 chen:2 further:3 dynamics:5 implemented:1 maloney:5 even:4 established:1 rate:7 section:3 localization:1 near:5 uniform:1 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0705.3123.txt |@word logarithm:1 limited:2 partial:1 consider:6 pointing:1 represent:1 depends:2 excellent:1 alternatives:1 results:13 fluids:1 leads:4 comments:1 grateful:1 kato:1 iu1:1 follow:1 expressions:3 dimentional:1 relationships:1 certainly:1 inverse:2 depend:1 rameter:1 subjected:1 list:2 quasi:1 behave:2 indicate:1 those:1 elliptic:32 stable:19 analogous:2 include:2 applied:3 amplitudes:8 jensen:3 very:10 end:3 differently:1 dokl:1 geometrical:2 lyapunov:2 prog:1 putting:1 figs:1 messy:1 ohkitani:2 exact:20 condition:5 common:1 four:2 hamiltonian:4 yamada:3 cosine:3 who:1 t2:6 solution:27 large:5 solved:3 differential:1 destroying:1 small:10 noted:1 intermittency:2 upper:1 force:8 procaccia:1 truncated:1 consistent:3 sin2:1 direct:4 sign:2 approximation:1 go:1 zero:4 dissipation:2 insertion:1 gn:1 further:9 copenhagen:1 situated:1 substitute:1 theory:4 even:5 index:1 appear:4 giving:1 exactly:4 expressed:2 version:3 3n:6 above:3 values:19 enstrophy:5 acknowledgments:1 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0705.3124.txt |@word represent:1 caused:1 results:2 leads:2 edu:1 consists:1 perturbations:1 relationships:1 paris:1 finally:2 stable:1 tc:7 norm:1 dokl:1 lyapunov:3 perihelion:1 every:1 encounter:1 hamiltonian:2 turns:1 solution:1 t1:3 large:2 vector:1 tangential:1 sun:3 axes:1 sui:1 method:2 body:6 full:2 respectively:4 les:1 china:2 separation:10 along:1 strong:3 equations:2 great:1 study:3 vectors:1 suggests:1 action:1 resonance:1 nanjing:2 scaled:3 unit:1 plot:1 remains:1 chaotic:17 call:1 gauthier:1 more:1 becomes:1 inertial:1 work:3 mi:1 longitude:1 oligarchic:2 indicating:1 protoplanetary:1 indicated:1 give:1 calculation:1 high:1 indicates:1 minimum:1 occur:2 regions:3 how:1 criterion:2 circular:2 plant:1 de:1 may:3 after:5 derived:1 orbits:14 value:1 lines:1 correspond:1 correlation:1 typical:1 nsfc:1 integrated:1 unsolved:1 astronomical:1 years:1 stability:2 paper:7 through:1 motions:8 existence:2 poincar:2 before:1 la:1 chosen:1 interesting:1 masses:4 degrees:1 systems:20 yi:1 ri:2 them:1 eccentricities:1 innermost:1 scaling:1 sssr:1 they:1 yr:15 1au:1 ethodes:1 hereafter:1 university:1 magnitude:2 2a:1 2b:1 each:1 crossing:6 instability:1 referred:1 energy:2 our:1 eq:2 shown:1 borderline:2 space:8 restricted:1 since:1 chaos:1 hill:1 denoted:1 formula:1 adaptive:1 rh:4 occurs:3 rj:1 interactions:1 quite:1 put:1 transition:7 motion:1 diffuses:2 hence:2 undergo:1 nouvelles:1 first:1 origin:1 major:2 there:5 variables:1 given:1 indicate:1 introduction:1 unknown:1 system:12 1a:1 their:2 1b:1 variational:1 exponents:3 gives:1 interests:1 relationship:1 akad:1 wisdom:4 believe:1 than:2 diffusion:4 distance:2 gladman:3 aas:1 curves:1 randomly:1 headings:1 border:2 linked:1 lin:3 coplanar:1 k0:23 circles:1 towards:1 reach:1 most:1 regular:10 significant:1 phase:4 acknowledgements:1 kc:3 latex:1 average:1 coincides:1 velocity:8 planetary:12 phenomenon:3 supported:1 radii:1 earth:1 find:2 slow:2 state:1 integrable:2 do:1 get:1 between:10 ones:2 during:3 evolution:4 transitional:2 arxiv:2 consisting:1 nauk:1 predicted:1 ems:11 fixed:1 enhances:1 exists:1 relative:4 result:1 discussions:1 close:1 subject:1 away:1 boundaries:1 macros:1 outside:1 µi:1 µj:1 boundary:5 nature:1 initially:2 weak:2 p2i:1 however:2 ji:1 region:3 according:1 gµi:1 sequenced:1 cn:1 period:3 spans:1 moreover:1 due:3 defined:1 slowly:1 ph:2 pi:1 anomaly:1 fig:6 corresponding:1 quantities:1 sufficient:2 diffuse:1 case:1 solid:1 empirical:1 arnold:2 will:2 near:1 error:2 procedure:1 eventually:1 almost:1 characteristics:1 equal:5 ij:1 rij:2 orbital:10 different:3 orders:2 runge:1 grows:1 conflict:2 kutta:1 investigated:1 infinity:1 numerical:1 mutual:1 domains:1 moving:1 v5:1 robust:2 normalization:1 laskar:1 center:1 ncet:1 roughly:3 solve:1 simulated:1 coordinate:1 position:2 model:3 paradigm:1 bodies:2 less:1 thanks:1 questions:1 previous:1 villars:1 preprint:1 ideal:1 location:1 momentum:1 identical:1 around:1 accepted:1 apj:1 helpful:1 semi:1 sizes:1 specific:1 unstable:1 either:1 become:2 icarus:1 topologically:1 classical:1 some:1 growth:5 nju:1 duration:1 gradually:1 scale:1 resonances:1 avoid:1 integration:1 overlap:2 pioneer:1 does:5 tends:1 prof:1 demonstrated:1 2µi:1 notable:1 step:1 found:3 plots:1 post:2 stage:1 eleste:1 embryos:1 freedom:1 mean:1 ecanique:1 three:2 references:1 accumulated:2 log:16 initial:7 long:8 dispersion:7 inner:1 stars:2 yrs:2 was:2 medium:2 astro:2 overflow:1 whether:2 gravitational:1 variations:4 up:1 planet:8 limit:3 problem:1 define:1 similar:1 clear:2 interval:1 constant:1 ai:6 abstract:1 aj:2 general:1 exist:3 planets:11 simulations:1 triangles:1 functions:1 dotted:1 no:2 whereas:1 when:3 department:1 conclusion:1 star:4 zhou:2 problems:2 prepared:1 a1:1 astronomy:1 assume:1 required:1 orbit:2 mass:5 time:18
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0705.3125.txt |@word represent:1 since:3 partial:6 show:3 lipkin:1 significant:1 results:9 abar:2 indicates:1 relation:1 statistical:1 taiwan:2 suffer:1 aλ:3 chua:1 reparameterized:1 now:1 ratio:1 fit:3 decay:8 charmless:1 αeff:1 li:1 better:1 finally:1 investigation:1 candidates:1 helps:1 identification:1 various:1 nucl:2 into:1 eur:1 kπ:7 amplitudes:4 gev:9 sensitivity:1 means:1 similar:1 modes:4 fig:2 wave:2 framework:1 mohanta:1 effects:1 background:2 entries:2 report:3 measured:2 bit:1 mbc:4 neubert:1 following:1 several:1 b675:1 continuum:1 chang:2 upper:1 university:1 arxiv:1 scalar:1 throughout:1 summary:2 large:3 magnitude:1 yields:1 either:1 each:1 small:1 found:2 london:1 fixed:1 signal:2 towards:1 still:1 tensor:1 requirement:1 right:3 aubert:9 sanda:1 hadronic:4 national:1 some:2 direct:1 related:2 sign:1 observed:2 rate:6 decays:9 isospin:2 ex:7 erard:1 measurement:3 chen:2 20mev:1 out:1 projections:1 index:1 shown:6 meson:4 lef:1 sum:1 measurements:1 rev:14 dss:1 helicity:2 denotes:1 current:2 tend:1 state:3 penguins:1 dominated:1 subtracted:1 rc:3 new:1 rn:2 babar:31 apply:1 mode:2 energy:1 comparable:1 focuses:1 recently:3 bb:5 nature:2 respectively:1 component:1 here:1 quite:1 efficiency:1 asymmetry:8 mev:2 although:1 nsignal:2 longitudinal:2 exciting:1 suppressed:1 recksiegel:1 obtained:1 0s:2 search:1 central:1 limits:1 consistent:2 many:1 could:1 tranverse:1 approaches:1 through:1 reduced:1 rosner:1 acp:10 published:2 0k:2 contribution:1 giri:1 finds:1 taipei:1 histograms:1 ratios:3 cl:1 puzzle:2 within:2 hou:1 negative:1 channels:2 set:1 references:1 determine:1 cancel:1 table:7 cp:2 angular:1 pseudoscalar:1 defined:1 uncertainties:4 hep:7 agree:1 introduction:1 positive:1 there:2 predictions:5 suprun:1 comparing:1 difference:1 assumption:1 observations:1 fraction:9 expected:3 theoretical:5 define:1 fractions:9 quark:2 obtains:1 both:1 reduce:1 naive:1 corrected:1 about:1 prediction:1 neutral:1 understand:1 curves:1 known:1 c2:4 φk2:5 evidence:1 fl:3 penguin:3 extend:1 states:1 full:1 18o:1 solid:2 tree:1 zero:1 value:3 final:2 will:3 considered:1 while:1 limit:1 three:3 amplitude:4 bf:2 distribution:1 my:1 called:1 loop:1 result:1 separated:1 vector:3 induced:1 figure:2 process:2 keum:1 moved:1 2mev:1 general:1 sample:1 dashed:3 conjugate:1 triangle:1 distributions:1 their:1 looser:1 yang:1 dominant:1 information:1 different:1 dotted:1 no:1 provide:1 suggest:1 lin:3 holds:1 radiation:1 lett:12 same:1 beneke:2 polarization:6 extracted:1 high:1 other:1 20o:1 pure:2 significance:2 department:1 mis:1 φk:6 events:4 product:1 used:1 spectator:1 components:2 separate:2 may:1 collaboration:12 measures:1 effect:1 expectation:1 gronau:2 a0:23 fleischer:2 errors:1 letter:1 preliminary:2 fits:2 transverse:1 data:2 hatched:1 appear:1 cheng:1 branching:15 observation:4 four:1 provides:2 kk:1 well:2 hh:1 analysis:5 asymmetries:1 experimental:1 sm:2 belle:16 chiang:1 claims:1 departure:1 left:2 physics:1 away:1 dot:1 charged:1
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0705.3126.txt |@word forum:1 set:2 consider:2 λt:2 mild:1 resp:6 find:1 economics:1 seen:1 scalar:1 paper:1 identify:1 thanks:1 computation:1 banach:2 follow:1 satisfies:1 still:1 its:9 fε:19 q1:1 unique:3 preprint:1 analytic:2 generator:4 trieste:1 iii:2 technique:1 basel:2 topological:1 lemma:5 finally:3 interested:1 theorem:14 mail:1 semigroup:13 main:1 norm:3 continuity:4 consequently:2 di:2 df:18 zabczyk:1 possible:2 introduce:1 da:2 xds:1 markov:1 words:1 dy:5 press:1 dw:1 dt:8 now:5 moreover:4 ds:12 advanced:1 closure:7 well:1 february:1 indeed:2 qt:3 always:1 university:1 arxiv:1 wiener:1 courses:1 theory:1 proposition:4 yields:1 turns:1 small:1 references:1 universit:1 nε:18 martingale:1 mean:2 dx:1 collects:1 differential:7 eωt:1 exists:2 kolmogorov:2 some:1 fr:3 ornstein:5 solution:5 approximation:1 see:9 us:3 measure:1 develope:1 out:1 rt:7 instance:3 vol:2 nonlinear:1 filtration:1 dimensions:2 probab:1 space:7 stoch:1 since:8 existence:1 nϕ:2 dtλ:3 dense:1 proof:6 cambridge:2 semigroups:2 esa:1 sup:3 formula:1 hold:1 unipd:1 conditions:1 equivalent:1 math:3 applications:1 manca:3 notice:1 measures:1 kek:1 linear:3 problems:1 prato:2 dissipativity:1 adjoint:1 however:2 standard:1 terme:1 cylindrical:1 hypothesis:2 eks:1 key:1 eεk:12 approach:2 approximating:1 birkh:2 equations:4 hilbert:2 semilinear:1 contraction:3 obtained:1 0s:1 extension:2 transition:1 taking:1 basis:1 allows:1 drt:1 yosida:1 range:1 eta:11 luigi:1 hence:4 0k:2 ou:5 introduced:1 adapted:1 lumer:3 separable:2 recall:1 via:1 useful:1 fields:1 follows:9 cb:35 into:2 assumptions:1 claim:1 ek:2 closed:1 square:1 done:1 pp:1 operator:18 proved:2 θdψ:2 studia:1 ηx:12 idea:1 given:1 perturbation:2 additional:1 pt:5 prove:7 introduction:1 positive:1 dipartimento:1 there:2 θdϕ:4 been:2 properties:2 encyclopedia:1 process:2 echet:3 perturbations:3 therefore:3 way:1 taken:1 ph:4 resolvent:1 msc:1 cite:8 ekt:6 define:5 progr:1 gronwall:1 form:1 estimates:1 operators:4 continuous:16 covariance:1 but:1 gaussian:1 maps:2 related:1 matematica:1 stochastic:6 known:2 priola:1 c1:7 iv:1 dissipative:14 padova:2 diffusion:1 account:1 0t:2 type:2 equation:5 show:1 differentiable:4 will:1 infinitesimal:4 lipschitz:1 following:8 problem:3 called:1 result:1 strongly:3 fulfills:1 weaker:1 associated:1 defined:5 endowed:3 abstract:2 crm:1 argument:1 denote:4 ii:1 ap:1 lϕ:7 multivalued:1 dual:1 sense:1 ax:1 supremum:1 dε:1 zambotti:1 any:15 verlag:1 spaces:1 functions:3 maybe:1 italy:1 no:4 lim:7 self:1 holds:4 able:1 same:1 phillips:3 setting:3 pdes:2 papers:1 mathematics:2 several:1 modulus:4 sufficient:1 product:1 ft:2 jerzy:1 trace:1 shall:1 may:1 object:1 uniformly:8 includes:1 uhlenbeck:5 cb1:35 bounded:8 auser:2 infinite:2 frequently:1 class:3 hille:1 weakly:2 implies:3 tλ:13 dψ:16 assume:2 cauchy:1 anal:1 coincides:3 barcelona:1 dr:4 so:7 uniqueness:1 easily:2 n0:30 appl:2 dϕ:11 order:3 usual:1
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