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0705.1807.txt |@word concept:1 results:7 kc2:1 faster:2 71a:1 depend:3 paris:1 shrinkage:2 presents:1 those:2 x03:1 x02:1 x01:2 very:1 figs:6 govern:1 difference:2 condition:3 xt3:1 xt2:2 xt1:3 presented:1 wooden:1 turns:1 notes:1 solution:4 large:2 discrete:2 ossler:8 small:1 configurations:2 smaller:1 zi:2 renormalized:1 zero:9 dynamics:1 odd:1 even:4 will:9 nonlinear:1 section:2 networks:1 above:4 international:1 method:1 contrast:1 full:1 respectively:3 here:5 understanding:1 reported:5 cos2:1 separation:5 directions:1 const:1 along:1 equations:4 z1:2 change:1 obtained:1 shift:3 study:6 studied:9 step:2 chemical:1 shaded:6 studies:5 helps:2 via:5 compare:2 market:1 use:1 swings:1 ayi:1 links:1 would:3 sake:4 give:2 negative:8 next:2 almost:1 call:1 therefore:3 doubling:1 type:2 minor:1 more:5 separated:1 introducing:1 knows:1 started:1 carroll:1 yahoo:1 berlin:1 transient:2 basically:2 particular:1 cases:4 given:11 logarithm:1 evolves:1 springer:2 onig:2 rio:1 science:1 equation:1 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0705.1808.txt |@word gt:2 customary:1 consider:14 lack:1 results:2 eds:1 gd:1 computation:1 edu:2 consists:1 gs:1 gm:1 research:1 gi:2 whose:2 matsumura:1 avramov:1 send:4 uniqueness:1 tm:2 under:2 applied:1 conjecture:11 global:1 choice:2 corollary:1 every:12 decide:1 entries:2 condition:5 dim:11 intersections:1 evaluation:1 notes:1 fewer:1 proposition:3 rj:10 challenge:1 homomorphism:1 locus:1 mi:10 consistent:2 athematics:1 past:1 krull:1 zero:2 further:2 residue:20 what:2 invertible:1 section:5 above:5 new:1 acknowledgments:1 degree:1 respectively:2 even:1 residual:1 understanding:1 behaviour:1 address:2 z5:3 trung:2 epartment:1 z2:7 z3:1 obtained:1 remark:4 technical:1 shift:1 study:3 allows:1 contradiction:1 professor:3 suitable:1 makes:1 guidance:1 projection:1 νt:9 skoda:2 ls:2 herzog:2 addressed:1 apply:1 unit:1 use:4 lecture:1 proceed:1 would:2 prove:4 remains:2 positive:16 bundles:2 finally:3 next:2 program:2 m1:1 therefore:9 more:4 becomes:1 validity:1 mλ0:4 particular:1 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0705.1809.txt |@word magnetic:6 saves:1 four:6 rˆ:2 mℓ:2 parameterization:2 consists:3 whose:1 quarkonium:1 matlab:3 under:5 divergent:1 digit:1 suffices:1 papinutto:2 solution:1 correct:1 vector:3 m2b:6 indices:1 jhep:10 sturm:1 consistent:1 estimates:4 approximation:9 α2s:1 estimated:3 even:3 established:1 errors:5 above:6 roundoff:1 ˆi:1 coefficient:6 reliably:1 here:8 reported:2 mev:3 represented:2 path:3 quark:50 logarithmic:2 obtained:7 fritzsch:1 study:1 changed:1 fourier:3 changes:3 gluons:4 explained:1 total:1 univ:1 propagators:2 unit:1 λms:13 motivate:1 negative:2 noting:1 m1:3 m0:3 m2:16 type:1 until:1 hoffmann:1 successful:1 brings:2 odinger:8 interaction:1 ward:1 hold:1 garron:1 ma:1 mc:6 mb:39 fµν:3 3l3:1 mq:2 ms:22 example:4 renormalization:54 indicated:3 give:3 programming:1 cited:1 indicates:1 want:2 χms:4 end:3 far:1 128b:1 badly:1 replacing:1 earlier:2 lat:54 parallel:1 effective:16 deutsche:1 parisi:1 algorithms:1 correlation:4 order:30 over:3 before:4 fit:2 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0705.1813.txt |@word represent:3 consider:1 results:3 entropy:28 computation:1 expressions:5 calculate:1 send:1 environment:14 preserved:1 include:1 kraus:1 very:2 every:1 shaji:1 hamiltonian:1 transmission:1 cause:1 trc:4 trb:2 tre:2 eigenvalues:2 trr:1 upper:2 mn:1 consistent:1 sin2:6 zero:5 iσ3:5 spectral:1 aim:1 giving:1 brief:1 above:3 new:2 acknowledgments:1 evolving:1 mef:4 degree:3 ρab:12 respectively:1 never:2 equals:4 here:1 china:3 cos2:10 address:1 represented:2 sina:1 obtained:3 vectors:1 amount:1 schumacher:4 usually:1 bob:2 involves:1 via:3 useful:1 extra:1 wij:1 nanjing:2 decrease:1 establish:1 use:1 positive:3 negative:4 comparing:1 depicted:2 noting:1 von:3 reflects:1 more:4 bennett:1 becomes:1 cases:1 must:2 ρa:6 sample:1 ρc:1 ρe:3 science:1 work:2 modified:2 ρq:16 values:1 example:8 control:2 give:1 process:4 preserving:1 states:3 sphere:1 numbers:1 yang:2 information:21 goal:1 interacts:1 discussion:2 get:1 feature:1 pure:7 sin:8 simplicity:2 product:3 barnum:1 may:5 max:2 after:3 mapping:1 fe:8 fi:1 natural:1 dynamical:2 moments:1 correspond:2 so:7 decreasing:2 order:2 se:18 interpretation:1 ith:1 correlation:5 indeed:1 concurrence:23 paper:2 satisfies:1 still:1 jie:2 exhibits:5 systems:5 schmidt:2 might:1 maximal:1 them:7 good:1 processes:1 introduce:1 now:3 discuss:3 represents:3 february:1 profound:1 always:2 university:1 microstructures:1 orthonormal:2 inequality:2 transmitted:1 each:1 found:1 side:1 subsystem:1 directly:1 map:2 related:1 σ2b:2 σ2a:1 measure:8 quantum:28 laboratory:1 operation:4 eq:10 out:1 shown:2 concur:1 matrix:6 space:2 quantify:1 since:1 rev:7 research:1 acting:1 investigation:1 print:2 ref:2 ejq:6 math:2 shows:1 benjamin:4 foundation:2 log2:1 linear:1 interactions:1 possibility:1 monotonic:1 base:1 complicated:1 imagine:1 1c:2 interaction:8 retained:2 just:1 omit:1 used:1 xiang:2 separable:1 initial:15 features:1 striking:1 number:1 preservation:1 another:1 electronic:1 illustrate:1 given:3 1r:4 eqs:1 system:26 relations:3 their:3 returns:1 1b:4 too:1 wootters:2 final:7 gives:2 exactly:1 jordan:4 representing:1 than:1 determines:1 depends:1 descriptions:1 generality:1 dynamically:1 seen:3 complete:1 subsystems:1 strength:1 angle:3 depending:1 εq:9 isolated:1 internal:1 absorbed:1 take:2 transmit:1 εa:2 channel:5 begin:1 trace:1 opposite:3 measures:2 most:1 intrinsic:3 calculated:1 adopt:1 bipartite:1 points:1 physics:1 fact:1 quantity:1 thomas:1 show:2 supported:1 implying:1 substituting:1 rough:1 d2:1 find:7 popescu:2 λt:32 state:39 should:2 analytic:4 only:5 factor:1 bernstein:1 exchanged:2 quantph:1 means:3 express:1 joint:12 words:1 during:2 evolution:15 resource:1 arxiv:3 summary:1 investigate:1 analytical:1 shi:2 set:1 reference:2 undergoes:1 national:2 correlations:2 see:1 result:2 fidelity:2 capacity:1 exchange:24 definite:1 fano:2 qubits:6 written:1 between:25 drawn:1 subscript:1 initially:2 derive:2 key:1 modeling:1 rohrlich:1 both:1 cos:12 according:1 σz:1 connection:2 dated:1 qubit:12 com:1 simple:3 cd:4 grants:1 conjugation:1 throughout:1 described:3 basis:1 addition:1 three:1 been:1 eβa:1 azimuthal:1 basic:1 ph:2 pi:3 ann:2 fig:4 arises:1 quantities:2 coherent:14 graphics:1 general:3 xiong:2 those:1 case:3 pacs:1 solid:3 value:1 will:1 while:2 suppose:3 behavior:6 property:1 unitary:5 refs:1 thus:3 anil:1 sity:1 ie:18 grant:1 suggest:1 poincar:1 complex:2 quant:2 dimensionless:1 investigated:2 published:1 sudarshan:1 effect:3 hand:1 uses:1 entanglement:24 changing:2 programs:1 expression:1 without:1 components:1 model:2 left:1 proposed:2 less:1 being:3 able:1 obtain:5 purified:1 eigenstates:2 density:7 regarded:1 iϕ:2 lett:1 theorem:1 transformation:2 nielsen:2 easily:1 decomposed:1 possibly:1 entangled:4 using:4 lost:1 alice:1 wooters:1 either:1 evolutions:5 output:1 reduced:1 spins:1 mathematical:1 neumann:3 classical:1 some:3 extended:1 describing:1 dimensions:1 decomposition:1 proc:1 eiϕ:1 processing:1 conveyed:1 although:1 losing:1 includes:1 hilbert:2 noisy:3 about:1 howard:1 discussed:2 range:1 mixed:3 introduced:1 specifies:1 soc:1 into:1 bound:2 parties:1 operator:5 log:7 assumed:1 there:5 was:1 function:1 interest:1 regard:1 jun:1 but:4 pp1:1 line:4 he:1 uq:1 achieving:1 owing:1 ud:1 similar:5 mechanics:1 ab:4 defined:4 am:1 denote:1 single:2 no:7 dashed:2 whereas:1 when:1 stinespring:1 nal:1 other:4 department:1 conclusion:1 prepared:1 deriving:1 meaning:1 important:1 rq:5 implies:1 assume:1 changed:1 time:3 eαa:1 having:1 |
0705.1814.txt |@word gu:1 consider:8 chinese:1 global:10 results:4 generalize:1 l12:8 lewenstein:1 edu:2 uabc:6 compact:3 preserves:1 pb1:2 indices:3 pb2:2 paris:1 concerned:2 tr:6 nonlocal:5 environment:2 finally:1 program:2 indicate:1 present:2 under:7 swap:3 resources:2 ın:1 p2:2 zhang:1 very:3 p0:1 focus:2 ρb:3 affect:2 difference:1 matrices:1 level:3 irreducible:1 guo:1 occurs:1 qudit:5 math:1 small:1 eigenvalues:4 setup:2 employing:1 computation:1 deutsch:1 direct:2 past:1 discriminated:9 zero:2 chen:1 implemented:6 canonical:1 spectral:1 will:1 what:2 plays:3 bb:11 diag:5 sum:2 selected:10 expressed:4 version:1 above:8 obvious:1 l1:2 method:2 raton:1 edited:1 ρaa:4 σn1:1 respectively:2 never:1 equals:1 here:3 desired:3 china:3 address:2 consideration:2 equations:1 obtained:3 bremner:1 remarks:1 study:1 studied:1 funded:1 reason:1 products:2 permutation:4 usually:5 bob:2 suitable:8 changes:1 formulated:1 followed:2 private:1 bullock:1 brought:1 hardy:1 cane:1 total:2 research:1 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0705.1815.txt |@word origin:4 particularly:1 show:1 ya:1 caused:1 magnetic:1 similarly:1 resistance:4 interpreted:1 saturates:1 geller:2 through:2 voltage:1 counterclockwise:4 interconnected:1 manner:1 contributions:1 its:1 diffusive:4 certainly:1 ratio:1 system:1 density:2 2e2:1 spin:13 reflection:1 state:1 unfounded:1 source:1 quasi:1 going:1 petersburg:3 samples:2 factor:1 via:1 over:2 depend:1 makes:1 interference:6 crucial:1 amplitudes:2 consequently:1 depends:1 absent:1 df:1 overall:1 processes:2 wave:1 contacts:2 electron:2 effects:2 reversal:2 gate:2 unlikely:1 rev:3 nanotechnology:1 hall:1 leads:2 february:1 imry:1 qt:1 purdue:1 transmission:1 university:2 arxiv:1 identified:1 2e:7 unrelated:1 fourier:1 2l:1 disorder:1 signal:4 mean:2 because:1 disordered:1 ej:1 persist:1 energy:2 plausible:1 azbel:1 conductance:5 oscillations:20 shelykh:2 beyond:1 observed:1 arm:4 brazil:1 setting:2 missed:1 matter:1 scattering:1 pev:1 rings:6 yet:1 semiconductor:1 re:1 enough:1 magnitude:2 connecting:1 eliminate:1 between:1 international:1 conditions:1 twice:2 shows:1 condensed:1 amplitude:4 interactions:1 importance:1 eikf:1 whose:1 µm:2 free:2 understanding:1 disregard:1 reason:1 mev:1 cos2:1 mes:1 relaxation:1 path:3 strong:2 solid:1 circumference:1 interaction:1 buttiker:1 institute:1 involved:1 studied:1 dependence:3 feasible:1 propagation:2 length:2 carrier:1 dated:1 leading:1 passing:1 mistake:1 changes:2 neglect:1 polytechnical:1 αml:1 comment:2 does:1 relevant:1 key:1 mobility:1 semiconductors:1 fig:3 harmonic:2 altshuler:1 included:1 right:2 simply:1 another:2 ring:5 clockwise:3 mass:1 aharonov:2 second:3 charge:1 described:1 usa:1 few:1 west:1 incorrect:1 due:3 calculation:1 harmonics:2 ballistic:3 therefore:1 ls:4 survives:1 originating:1 only:2 clearly:1 conclusions:1 reversed:3 coherence:1 requires:2 spivak:1 observe:1 authors:1 ioffe:1 despite:1 evidence:1 iii:2 present:3 must:1 again:1 account:1 critical:1 pacs:1 arrays:1 brasilia:1 equation:1 flip:1 technical:1 while:1 absence:1 fermi:2 three:1 aas:4 misses:1 observation:1 kf:2 russia:2 numbers:1 lφ:8 ac:5 vector:1 constant:2 vg:6 defined:3 averaging:2 thus:2 non:2 curves:1 flips:1 ii:2 dashed:1 single:3 cond:1 ras:1 seen:1 demonstration:1 occur:1 four:2 regime:6 dominant:1 paths:4 any:1 no:2 rather:1 cos:1 breaking:1 when:3 lett:2 casher:2 event:1 note:3 field:1 varies:1 aronov:2 role:1 incorrectly:1 department:1 destroy:1 ns:7 parameter:1 higher:1 oscillatory:4 independent:1 mat:1 closest:1 lyanda:2 may:1 trajectories:1 omission:1 effect:9 variation:1 tekhn:1 connected:1 but:2 letter:1 phase:1 summarize:1 segment:1 contribution:1 recent:1 physico:1 oscillates:1 fiz:1 center:2 effective:1 coupling:1 whole:1 clock:1 curve:2 orbit:3 governed:1 st:3 their:1 4l:1 lafayette:1 experimental:1 exp:2 time:5 4e:2 physics:2 order:1 left:2 |
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0705.1818.txt |@word magnetic:18 ginzburg:34 travaux:1 localized:1 whose:3 const:19 paris:1 superficially:1 γn:1 under:13 hermann:1 worth:4 alternating:1 conjecture:15 rise:9 every:20 lehman:1 convexity:1 cause:1 solution:1 vector:10 enclosing:1 indices:1 fhw:3 fhs:5 cmp:4 sturm:19 codim:15 bubbling:6 estimates:2 direct:1 approximation:1 second:4 even:7 established:10 filtration:2 contemp:1 birkhoff:1 above:18 new:3 increasing:5 simultaneously:1 never:1 here:17 met:3 represented:1 path:12 obtained:10 suitably:2 study:1 approaches:2 kρ2:1 suitable:2 projection:4 classification:1 replace:1 total:5 univ:1 unit:4 tn:2 would:4 cohomological:2 bundles:4 negative:7 therefore:2 type:9 until:1 tk:1 abusing:2 aware:1 berlin:1 hold:3 must:2 springer:3 ma:4 henri:1 mo:4 work:4 struwe:2 example:13 defer:1 indicated:2 give:3 preserving:2 organized:1 degenerate:29 times:1 guarantee:1 end:10 hoc:1 provide:1 how:2 ordinary:2 cz2:3 cz1:2 memorial:1 parallel:10 constants:18 third:1 chern:3 hypotheses:5 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0705.1819.txt |@word secondly:1 gs:4 consider:2 rev:10 magnetic:19 comparatively:1 results:4 existing:1 leads:1 ginzburg:1 expressions:1 looking:1 hold:1 depend:1 calculate:1 auf:1 contained:1 presents:1 quasi:1 stable:1 andreev:21 tc:2 applied:2 straightforward:1 g0:2 very:2 graser:1 wave:13 orientations:1 condition:1 positions:1 scalar:1 integrated:1 vector:8 subscript:2 small:6 equation:6 attracting:1 force:5 2k1:1 renormalized:1 hindered:1 approximation:1 zero:3 compensates:1 deutscher:1 value:5 further:1 dynamics:1 implemented:1 situated:2 even:4 appear:2 ˆv:1 cˆf:8 current:8 above:5 unpinned:1 new:1 net:1 increasing:1 dahm:2 ranged:1 respectively:1 here:6 explore:1 cylindrical:1 xξ:1 antivortex:2 represented:1 path:2 along:7 strong:1 equations:4 superconductor:12 obtained:1 inhomogenous:1 institute:2 shift:1 study:2 larger:2 allows:2 completely:1 example:1 pinning:6 resulting:3 changes:1 uniquely:1 via:2 spatially:1 translational:1 superclean:1 total:2 unit:1 use:3 additive:1 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0705.1822.txt |@word gt:12 gs:14 consider:13 zˆs:9 brownian:2 results:1 quenez:6 known:3 proposition:4 edu:1 sci:2 gj:2 compact:1 whose:2 xtu:3 c0:8 depend:1 paris:1 deterministic:1 bsde:30 uniqueness:6 program:2 those:1 under:5 stochastic:25 presentation:1 norm:6 ın:1 σtt:1 case:4 supported:1 street:1 risk:2 g1:3 g0:7 very:2 springer:2 corollary:1 wishes:1 rm:51 condition:3 school:2 notes:2 solution:28 t0:7 yˆs:10 enhance:1 rk:4 der:1 l2f:33 lecture:1 consistent:1 estimates:1 measurable:4 second:2 cost:1 pardoux:1 zt:71 further:1 zr:45 zs:83 readability:1 nonlinear:4 filtration:1 section:11 brief:1 expressed:1 annals:2 above:6 sup:16 3c:5 new:5 increasing:6 method:1 satisfy:11 respectively:6 china:4 address:1 8e:1 equations:11 change:1 contraction:3 obtained:1 remark:1 institute:2 allows:1 yˆ:2 published:1 cathy:1 hospitality:1 punishment:1 control:14 family:1 2wt:2 σst:3 univ:1 use:7 prove:4 positive:3 contains:3 uniformly:4 processus:1 properties:1 linear:3 call:2 therefore:6 twt:2 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0705.1823.txt |@word limited:1 partial:2 consider:4 particular:1 results:1 leads:5 edu:1 consists:1 causes:1 calculate:2 b42:1 γt:3 tn:4 does:1 ıe:1 tk:2 th:1 case:4 orthogonal:1 very:2 choice:1 breit:2 bounding:1 exact:13 four:2 hamiltonian:2 t6:3 t4:6 t2:13 solution:4 solved:1 eigenvalues:1 upper:20 slower:1 b22:1 zero:2 approached:1 even:9 established:3 t2n:1 section:3 selected:2 expressed:3 δfunction:1 new:1 method:3 coefficient:2 degree:1 realizations:1 equals:1 here:3 andrews:2 address:1 alone:1 appears:1 change:3 obtained:2 shift:1 changed:1 allows:2 products:1 useful:3 suddenly:1 apply:2 unit:4 use:1 prove:1 positive:6 continuous:2 negative:3 next:2 fonda:1 taken:1 australian:1 until:1 more:2 introducing:1 becomes:1 operators:1 envelope:17 appendix:3 labelled:1 varying:1 known:2 cases:1 iii:3 must:6 none:1 quartic:5 science:1 equation:5 work:1 labeled:3 values:3 following:1 my:1 example:6 give:7 expanding:2 states:1 numbers:6 unphysical:2 provide:3 discussion:2 returning:1 ghirardi:1 2cn:1 bn:4 write:1 how:3 varies:2 sin:6 may:6 after:1 faculty:1 spectra:1 summing:1 so:7 allow:1 wigner:2 over:1 through:2 still:1 τn:6 regions:1 rapidly:1 decay:1 energies:3 solving:1 decreases:1 d31:1 absence:1 fig:19 non:1 good:3 greater:1 introduce:1 cutting:1 bhattacharyya:1 now:4 hall:1 nor:1 represents:1 february:1 university:1 alternately:2 quintic:1 magnitude:5 each:7 found:3 side:1 2ee:1 en:9 2a0:2 independent:2 series:7 energy:42 gaussian:1 τnk:1 t3:1 quantum:3 eq:23 shown:4 3rd:1 discrete:2 furthermore:1 since:2 rev:2 replacing:1 shows:8 wiley:1 linear:1 possibility:1 effect:1 approaches:1 e4:1 e0:4 e2:4 determining:1 could:1 times:2 exponentially:1 onto:1 first:3 probability:9 variables:1 reaches:1 done:1 directly:1 electronic:1 illustrate:1 given:8 introduction:1 leading:1 eqs:12 system:8 needed:1 john:1 gives:8 free:1 option:1 4b2:1 part:2 x2:1 than:5 coefficients:1 amplitude:7 enables:2 powers:1 rimini:1 spectrum:1 curves:13 anu:1 say:1 need:1 seen:1 any:2 h21:2 note:4 k0:1 sure:1 sequence:2 falls:1 most:1 successive:1 eı:1 why:1 considered:1 clear:1 exp:4 physics:2 sum:1 fact:1 show:5 converge:1 d2:3 d3:2 d1:3 knowledge:1 outside:1 should:1 only:9 explicitly:1 specify:1 factor:1 do:7 notation:1 de:18 stop:1 du:2 evolution:4 arxiv:1 2b2:1 2b1:1 common:1 including:1 set:3 exists:1 national:1 best:3 cutoffs:1 y2:2 inequalities:2 αa:1 state:8 envelopes:6 simplest:1 probably:1 neither:1 never:1 terms:10 initially:1 come:1 improve:1 cos:13 last:2 σn:2 many:3 uncertainty:1 4h3:2 equal:1 dated:1 cos2:2 relevant:1 cn:1 reasons:1 others:1 corresponds:1 exhibits:1 polynomial:1 illustrated:1 due:1 been:5 mark:2 cosine:1 slowly:2 ph:1 pn:6 define:1 corresponding:1 subspace:1 improved:1 mandelstam:1 present:1 applied:2 exponential:2 pacs:1 solid:7 ǫn:2 value:1 will:7 ǫt:1 au:1 unitary:1 vi:1 thus:2 them:1 iv:2 ii:1 claimed:1 same:2 parts:1 quant:1 φe:9 largest:4 units:2 dimensionless:1 finite:2 higher:3 evolve:1 used:14 dǫ:6 cubic:2 numerical:2 monotonic:1 possible:2 moment:5 levels:1 expand:1 lower:17 off:16 well:2 without:4 parametrically:1 just:1 moments:15 generally:2 thanks:1 eigenstates:1 cut:14 improvement:2 simple:3 other:4 lett:1 mod:1 match:1 real:3 australia:1 σn2:1 survival:18 sums:2 term:3 period:2 increases:1 know:1 appendices:1 using:5 apart:1 necessary:1 follows:2 ussr:1 yields:1 schwarz:2 because:6 methods:1 truncated:2 some:2 b4:6 examples:2 b2:7 b3:5 root:1 merzbacher:1 provided:3 lead:1 integration:1 comments:1 inequality:2 prog:1 either:2 inserting:1 3b1:1 power:3 pfeifer:2 equivalent:1 2c:2 expansion:1 bk:5 2m:1 imaginary:3 between:1 uffink:2 actual:1 introduces:1 practical:2 range:4 important:1 act:1 h2:6 into:1 h1:4 bound:27 h4:3 square:1 tamm:1 assumed:1 there:3 question:1 quadratic:5 ed:1 function:4 complete:1 form:5 but:10 hk:4 hn:5 line:1 considerable:2 applying:3 bounds:52 below:1 projecting:1 limit:2 autocorrelation:4 distribution:15 agree:1 b1:6 mechanics:1 taylor:1 constant:1 zeno:1 ak:1 am:2 proven:1 general:3 peres:1 dκ:4 exist:12 moves:1 commuting:1 again:1 functions:1 dotted:5 no:5 dashed:6 whereas:1 wavefunction:1 when:4 valid:4 b12:1 details:1 department:1 poor:2 smoothly:1 a1:7 a0:6 a2:5 included:2 faster:1 d23:1 space:1 curve:10 together:1 4c:2 time:13 observables:1 rep:1 normalized:1 |
0705.1824.txt |@word since:11 homomorphism:1 consider:5 chain:6 gp:9 dθα:2 founded:3 gn:1 research:1 compact:19 whose:6 inverse:1 segments:2 tp:15 kβ:9 finally:11 th:1 under:1 kθ:10 kξ:1 applied:1 g0:1 cofinality:1 corollary:2 every:36 wich:1 ma:1 compacta:1 condition:5 turns:1 list:1 large:1 announced:1 shows:9 accumulation:3 neighborhood:12 equation:1 zero:1 further:7 section:4 lexicographic:1 bαβ:3 above:7 sup:7 increasing:2 consisting:1 contrast:1 devoted:1 full:1 notions:1 respectively:4 equals:3 answers:1 desired:1 xθ:6 indecomposable:8 xβ:3 xα:16 obtained:2 remark:1 trans:1 institute:2 study:1 homeomorphism:10 contradiction:1 drk:1 products:1 narrow:1 makes:1 gpα:11 uniquely:1 fix:22 followed:1 family:11 extra:1 rkx:2 private:1 1y:3 boolean:26 apply:1 orderings:3 linearly:5 rkk:3 use:2 proceed:1 prove:4 remains:4 contains:12 quasi:2 next:2 vol:1 noting:1 call:5 therefore:6 endowed:1 stage:2 type:16 more:5 duality:1 kδ:3 surjection:1 particular:8 cases:2 cardinality:7 join:2 rα:9 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0705.1827.txt |@word proposition:2 consider:3 pointing:2 illustrates:1 rx:2 mns:2 desirable:1 splitting:3 gy:1 gx:1 gg:4 scalar:1 commute:1 gc:13 computation:2 parameterization:1 gn:4 gl:1 disintegration:2 causes:1 gh:25 compact:11 whose:1 isometric:3 simon:1 depend:1 tx:3 equivalence:3 tr:1 finally:2 th:4 stable:6 atlas:1 exposition:1 norm:1 mpg:1 orthogonal:2 very:2 results:2 isomorphism:3 every:1 invent:2 anonymous:1 stays:1 matrices:1 dim:5 obvious:1 riemann:1 mpim:1 irreducible:3 t4:3 t2:2 large:4 involution:3 horosphere:2 iba:1 small:3 anal:1 yt:1 upper:2 employing:2 zh:2 ξw:1 zk:1 haar:3 zg:4 estimates:1 measurable:2 second:1 zx:4 zt:3 further:3 linear:1 even:2 ˆq:1 what:2 stands:1 brackets:1 3s:1 section:5 bergman:1 henceforth:1 kun:2 version:1 bernhard:11 above:6 sup:7 mq:39 etriques:1 satisfy:1 devoted:1 submitted:1 respectively:1 henrik:1 component:1 here:2 canonically:1 inverse:2 tangent:1 inversion:1 groups:6 concluding:1 strong:1 change:1 extreme:1 obtained:1 remark:13 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0705.1828.txt |@word partial:1 consider:1 ceases:1 maximum:2 eaires:1 global:11 datum:2 results:3 cφ:11 leads:1 proposition:16 edu:2 sci:2 issues:1 devoted:1 depend:1 tw:5 concerned:1 similarity:1 young:4 tn:2 finally:2 ws2:45 under:3 giga:9 γf:1 norm:1 case:5 comm:3 jensen:4 advantage:1 translations:1 every:1 fac:1 difference:2 condition:4 entire:1 solves:1 level:6 turns:2 tokyo:1 list:1 solution:21 large:6 convenience:1 small:8 anal:1 upper:16 specially:1 2k2:5 estimates:33 direct:1 sign:1 rate:28 eλk:3 ode:1 linear:2 trick:3 diam:1 plays:1 section:5 while:1 uniform:1 nondegeneracy:1 3n:2 cheng:1 sup:4 suppose:4 increasing:2 method:4 satisfy:1 compact:1 hypothesis:3 modify:1 b2r:1 here:5 understanding:1 wuhan:1 refinement:1 focused:1 ignore:1 equations:15 change:1 obtained:11 quart:1 convert:1 technical:1 involved:1 matsui:4 contradiction:1 eberly:1 suitable:1 involves:1 fujita:1 boundedness:1 via:1 projection:1 extra:1 apply:1 establish:4 readily:1 levine:1 use:3 quasi:2 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0705.1830.txt |@word represent:2 consider:1 qian:6 caused:4 global:3 results:4 garching:1 go:1 expressions:1 denotes:1 causes:2 semikoz:1 tr:1 environment:2 dramatically:1 luminosities:1 outside:1 very:4 frequencies:3 induce:1 unchen:1 electron:1 every:1 mpp:1 stays:1 mixing:4 ilias:1 difference:2 condition:3 entire:1 solves:1 hamiltonian:1 ref:1 developing:1 solution:7 fewer:1 large:7 solved:1 vector:3 excellence:1 small:7 round:1 occurrence:1 oscillation:2 sigl:4 sign:1 elegant:1 imply:1 realistic:2 further:1 dynamics:1 remarkably:1 spectral:13 will:2 nonlinear:2 appear:1 agrees:1 henceforth:1 wiggles:1 above:4 retains:1 international:1 net:1 increasing:2 acknowledgments:1 full:2 simultaneously:1 averaging:1 lisi:1 component:4 here:4 understanding:1 explore:1 excess:2 alone:2 strong:1 equations:5 obtained:1 institute:1 shift:1 vectors:4 formalism:1 marrone:1 experience:1 simultaneous:2 action:1 resonance:4 changes:3 vii:1 antineutrino:2 modifying:2 visible:1 decrease:2 perhaps:1 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0705.1834.txt |@word monte:8 remarkable:1 results:10 contributions:1 increase:2 hold:1 depend:1 calculate:1 former:2 program:1 those:2 stabilizing:1 indicating:2 interacting:1 r12:1 performs:2 very:2 amorphous:2 wishes:1 grigera:1 figs:1 cyan:1 difference:3 exact:3 presented:2 did:1 positions:2 ri:4 large:2 frozen:1 small:2 eigenvalues:1 prevent:1 employing:1 force:1 kowalik:1 findings:1 demonstrations:1 approximation:1 zero:8 value:9 further:2 dynamics:10 chem:5 carlo:8 canonical:1 even:2 will:3 what:1 nonlinear:1 fluctuates:3 advantageous:1 giving:1 cell:1 3n:1 above:1 lifshitz:1 new:1 method:10 ρt:2 predicting:1 chose:2 respectively:1 component:2 here:6 understanding:1 ǫxx:2 ǫxy:4 explore:1 objects:1 relaxation:3 σab:2 σaa:1 standard:2 equations:2 appears:1 change:1 obtained:5 pressure:1 institute:1 study:1 studied:1 interconnected:1 simultaneous:1 gear:1 opinion:1 therein:2 narrow:2 changes:1 diameter:3 via:3 followed:1 resurrected:1 explained:1 decrease:1 aimed:1 unit:2 plot:1 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