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0705.1018.txt |@word limited:1 sci:1 rev:18 desirable:2 fabricated:1 integration:1 mile:1 ward:2 kowalski:1 cohadon:2 simon:1 kawazoe:1 technique:4 waveplate:1 braginsky:2 environment:5 γi:2 tm:6 present:4 γm:5 under:1 analogous:1 include:1 ringdown:1 applied:2 presently:1 advantage:2 far:1 frequencies:2 rise:1 r19:1 drever:3 resonant:10 experimentally:1 wipf:2 pbs:2 damped:1 large:1 pelc:1 hough:2 equation:1 heidmann:3 upper:1 dilute:1 force:16 sigg:2 estimates:2 zero:1 gigan:1 equal:1 chen:4 further:3 correspond:1 even:1 material:1 errors:1 detuned:2 lowest:1 supplied:1 experiment:8 above:1 flowing:1 new:1 increasing:4 satisfy:2 girvin:1 arb:1 clerk:2 never:1 here:3 vitali:3 objects:4 operating:1 active:3 lorentzians:1 vorontsov:1 change:1 box:1 incoming:2 weinstein:1 institute:2 losses:4 allows:1 commonly:1 example:1 amount:2 stiffness:2 correct:1 resonance:6 shaded:1 changes:2 diameter:1 showing:1 via:2 stabilization:1 addresses:1 fejer:1 visible:1 inequality:1 decrease:1 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0705.1019.txt |@word bvp:1 sci:2 consider:2 chinese:1 rev:2 dynamic:1 results:2 gy:1 neurosci:4 generalize:2 edu:1 3a2:1 contributions:1 depend:1 bx2:1 monotonically:1 under:5 curr:1 indicating:2 xth:3 activities:6 zhang:1 far:1 frequencies:9 fhn:1 presented:2 stimulus:7 ref:1 damped:1 large:1 small:3 biological:1 equation:1 hindmarsh:3 lefschetz:1 oscillation:15 consistent:1 prediction:2 approximation:1 zero:1 further:3 dynamics:5 estimated:1 zs:3 even:2 what:1 nonlinear:29 appear:1 expressed:2 cell:1 version:1 above:1 cao:1 3a:3 method:7 respectively:1 wuhan:2 china:1 sawada:1 active:1 consideration:1 equations:10 obtained:4 great:1 study:5 behav:1 gene:1 ori:1 highly:1 angelo:1 would:2 prove:1 remains:1 negative:4 predict:2 call:1 therefore:1 spike:1 type:1 theoretical:14 nagumo:1 stable:3 xns:3 aware:1 berlin:1 known:1 ward:1 huxley:1 must:2 states:3 science:3 der:1 london:1 remain:1 values:2 following:6 divergent:1 root:2 example:5 f1:3 wang:1 figure:3 give:1 process:2 involve:1 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0705.1022.txt |@word slope:2 measurements:1 schlegel:3 g018:3 similarity:1 koter:1 g014:5 luminosities:1 results:3 g011:2 four:1 mild:1 per:3 edu:3 covered:1 disk:4 compact:2 excludes:1 glimpse:25 re:4 tylenda:3 show:2 vs:1 young:6 preprint:1 2004c:2 2004b:2 2004a:2 oudmaijer:1 indicate:2 present:6 accuracies:1 alberta:2 details:1 te:4 giga:1 indicating:2 2mass:13 applied:1 outside:2 very:12 could:3 longmore:1 worst:1 difficult:1 anonymous:1 summarized:1 clemens:1 continued:1 hemt:2 mathis:2 entire:1 summary:1 clouds:10 stiening:1 air:1 accompanying:2 positions:7 irsa:1 12µm:1 list:1 colors:10 terminating:1 integrated:2 large:15 detected:11 bally:2 indices:5 relation:1 noted:4 tenths:1 kemper:6 upper:1 strongly:2 work:2 force:1 findings:1 f21:1 trend:2 consistent:1 h40:3 pasj:12 blue:2 surrounding:4 photospheric:1 value:1 further:1 estimated:4 ita:1 spectral:3 index:1 hide:1 appear:2 rate:7 t2n:2 giving:1 sun:1 section:3 selected:7 examined:1 suh:5 experiment:2 above:4 weather:1 new:4 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0705.1026.txt |@word sci:1 consider:29 brownian:3 results:21 quenez:3 eds:3 proposition:3 follow:1 payoff:1 whose:3 c0:2 depend:1 γs:1 tt:2 shanghai:1 bsde:8 finally:4 helps:1 th:1 under:14 stochastic:16 norm:1 ın:1 applied:2 verw:1 erale:1 lepeltier:9 corollary:5 got:1 difference:1 condition:15 school:1 sans:1 solves:2 notes:3 solution:43 recall:1 upper:4 work:1 specially:1 lecture:1 eλt:11 eλs:4 measurable:6 l2n:1 approximation:7 integrability:2 value:4 zt:10 dbs:40 substitute:1 zs:27 established:1 bdg:4 nonlinear:2 filtration:1 section:2 uniform:1 en:2 sur:1 above:4 sup:79 replaced:2 increasing:21 method:6 coefficient:11 respectively:11 here:2 china:1 groups:2 strong:1 equations:12 contraction:1 obtained:1 remark:1 ysp:14 study:1 studied:3 action:3 departement:1 control:4 via:1 extra:1 compare:1 penalized:2 stern:1 hamad:2 apply:5 use:3 matoussi:3 would:1 prove:19 remains:1 positive:2 contains:1 negative:2 usi:1 france:1 comparing:1 gebiete:1 more:1 relax:1 berlin:1 appendix:2 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0705.1027.txt |@word minors:1 consider:6 gp:4 results:3 four:1 proposition:10 computation:2 c2:3 consists:2 follow:1 denotes:2 finish:1 hole:7 gi:2 scr:72 whose:17 glimpse:1 integral:11 re:1 graph:31 segments:1 equivalence:1 must:7 program:2 restriction:2 tk:3 th:7 stable:25 analogous:1 undirected:1 norm:2 applied:2 queen:1 g2:1 g1:1 very:2 construction:2 continues:1 normaliz:3 keeping:1 seemingly:1 sasha:1 corollary:17 every:21 entries:6 affect:1 difference:2 matrices:11 induct:1 wa:1 orthant:1 school:1 induced:3 augment:1 immediately:1 bn:6 induction:4 t2:1 solution:1 d2:5 t1:2 large:6 solved:1 2ki:1 vector:25 rj:4 small:22 shows:4 round:3 configurations:2 upper:9 zn:15 smaller:1 says:1 edu:1 b22:2 b21:2 approximation:1 zero:23 infinity:1 further:2 4x5:1 odd:44 linear:9 even:7 index:1 appear:12 comparable:1 fine:1 section:11 brief:1 uniform:3 version:1 toric:1 above:13 fractional:5 new:6 net:4 increasing:1 consisting:2 contrast:2 revealing:1 supporting:1 focuses:1 degree:1 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0705.1028.txt |@word concept:1 consider:3 φn0:1 hulet:1 repeatedly:1 casana:2 scalar:2 p00:4 entropy:1 computation:1 go:1 expressions:2 poorly:1 whose:1 certainly:1 inverse:1 depend:1 description:2 tr:10 γt:1 environment:1 program:1 those:1 th:3 stable:1 tr0:10 include:1 conjecture:1 advantage:1 thermalize:1 far:1 frequencies:4 account:3 wave:1 experimentally:1 exact:1 paz:1 trk:6 jhe:1 hamiltonian:17 evaluation:1 iǫ:29 fµk:1 pˆ2:1 math:1 small:1 a121:1 2gi:1 mahler:1 fµν:7 e50:1 renormalized:5 measurable:2 second:3 evaluated:2 dynamics:3 estimated:1 linear:1 bilinear:1 aim:2 what:5 nonlinear:1 appear:1 section:2 associate:1 suggestive:1 current:2 poles:1 above:12 ground:13 trµ:14 method:1 condensed:1 aˆk:4 ibid:2 κk:1 respectively:3 understanding:1 flores:9 gemmer:1 sinh:1 active:1 path:2 along:3 strong:1 equations:5 obtained:4 instituto:1 ultra:1 antisymmetric:1 technical:1 involved:1 study:10 studied:1 approaches:2 experience:1 spheres:1 resulting:1 resonance:1 studies:3 composed:1 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0705.1032.txt |@word snia:4 consider:8 pointing:1 represent:1 squared:1 results:5 2c1:1 leads:4 αr1:4 scalar:32 leith:1 amendola:14 mℓ:2 trodden:4 farese:2 gr:4 whose:2 sahni:3 linder:4 hindmarsh:1 acting:1 tp:1 tn:1 those:4 th:1 under:7 tegmark:3 geom:1 cahn:1 include:1 gb:5 applied:2 string:2 broadly:1 g0:4 very:8 rise:2 garousi:1 l5:1 jakov:1 li:2 difference:1 condition:7 severely:1 exponential:3 roy:3 notes:1 p5:2 t2:4 cmb:3 t0:1 integrated:1 large:7 indices:2 gauge:2 luca:1 degeneracy:3 jhep:1 smaller:4 grateful:1 2k2:1 10m:1 braneworld:1 direct:1 approximation:9 second:3 evaluated:1 further:1 dynamics:1 davis:2 λcdm:5 even:3 index:2 what:5 plays:1 sub:7 rate:1 erickcek:2 giving:1 3r:2 section:4 xφ:1 expressed:2 agrees:5 current:3 3h:14 3ωm:1 precisions:1 above:4 3b:1 3f:6 nakamura:1 satisfy:5 4f:5 tret:1 ωbd:8 iess:1 here:3 provides:1 odintsov:5 growing:3 ingrosso:1 jcap:10 others:1 along:1 strong:1 equations:5 appears:1 change:3 obtained:5 property:2 wde:8 8πg0:1 study:4 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0705.1040.txt |@word concept:3 dist:11 consider:14 chain:2 gp:2 results:2 invent:1 leads:1 eds:1 proposition:20 entropy:4 grateful:1 follow:1 denotes:3 gk:7 gi:12 compact:2 depend:1 contained:6 vey:1 tn:17 finally:3 manifolds:1 excluded:1 stable:1 analogous:4 include:2 tc:5 mpg:2 family:2 2rk:5 g1:2 reader:3 choice:1 lyapunov:6 corollary:11 sons:1 every:39 stays:1 ma:1 fractal:1 condition:2 irreducible:2 applicable:1 t0:25 large:5 admissible:10 small:3 markov:24 rk:40 equation:2 attracting:1 upper:1 smaller:4 neighborhood:1 direct:1 zero:12 preimages:2 further:1 dynamics:6 generator:1 even:1 what:1 diam:18 sub:4 chicago:2 section:13 bendixson:1 analogously:2 tohoku:1 version:1 schauder:1 intersect:1 sup:13 new:2 3a:1 increasing:1 satisfy:1 leb:5 full:1 respectively:1 equals:1 here:5 atoms:1 packing:5 objects:1 groups:1 address:2 consideration:1 standard:2 appears:1 change:1 obtained:1 michal:12 endpoints:4 institute:2 study:3 studied:3 reason:1 contradiction:4 ourself:2 periodic:24 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0705.1041.txt |@word monte:4 concept:1 consider:2 similarity:1 magnetic:1 results:1 four:1 eccentricity:8 per:1 edu:1 go:3 mna:8 layers:1 certainly:1 menzel:1 switched:1 matrix:3 quasi:2 program:5 device:1 aut:2 under:1 cm2:1 case:4 methyl:1 r12:6 distorting:1 r11:4 very:8 connects:1 wave:5 e2e:1 electron:64 sons:4 every:9 lynch:1 refractive:7 hµν:3 difference:2 condition:1 drag:1 annihilated:3 jensen:3 modulator:1 presented:1 transmission:1 chains:1 large:4 solved:1 vector:8 min:1 indices:1 optics:3 methane:1 concluded:1 upper:1 smaller:2 arctan:1 haas:1 za:2 pulse:1 modified:1 approximation:7 located:1 second:7 design:3 dynamics:1 estimated:1 carlo:4 port:1 linear:14 sug:1 index:6 nonlinear:13 sub:2 sum:2 near:4 expressed:1 thickness:1 cell:1 consistently:1 cores:1 goes:1 new:1 net:1 waveguide:4 method:7 coefficient:3 justification:1 iran:3 lee:5 degree:1 relates:1 respectively:4 gathered:1 component:1 orbitals:3 atoms:3 packing:2 groups:2 along:2 strong:1 equations:2 change:8 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0705.1042.txt |@word sci:1 consider:7 remarkable:1 gp:3 nauchn:1 results:1 four:6 proposition:8 computation:1 consists:1 reasoning:1 rigidity:1 compact:3 isometric:6 γx:8 depend:2 xxii:1 segments:6 nonpositive:1 finally:3 petersburg:1 stable:3 norm:3 case:2 conjecture:1 far:2 quadruples:2 springer:2 geometrical:1 falk:1 unizh:1 corollary:5 replaces:2 every:16 condition:6 p4:1 die:2 t2:9 joined:1 t1:9 vector:9 recall:4 der:3 neighborhood:1 direct:1 second:1 zy:1 pass:2 further:2 zw:2 odd:1 even:2 dissertation:1 section:9 find:1 version:1 above:10 ultrafilters:1 bn:7 contrast:1 paragraph:1 satisfy:5 synthetic:1 notions:2 here:1 desired:1 address:1 consideration:1 respect:1 appears:1 z2:7 obtained:1 remark:5 endpoints:1 involved:1 studied:1 contradiction:2 bridson:1 buckley:1 suitable:1 uniquely:8 via:2 classification:1 heart:1 f2:3 replace:2 scaled:2 apply:1 linearly:5 use:2 prove:11 recalling:1 positive:13 contains:2 next:1 distinct:1 few:1 m1:8 therefore:2 midpoints:3 m2:7 associated:7 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