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0705.1055.txt |@word childs:1 consider:2 gp:4 magnetic:2 pulsing:2 commute:1 generalize:3 computation:1 edu:1 consists:1 follow:1 primes:2 gj:1 gi:4 compact:1 increase:2 alamos:1 jn:6 white:1 arbitary:1 preserved:1 under:4 include:1 case:7 conjecture:3 kπ:28 frequencies:5 wave:1 entries:2 resonant:4 experimentally:2 matrices:7 condition:1 vibrational:1 level:7 t6:1 proposals:1 large:2 discrete:5 differential:1 annihilates:1 application:1 kz0:1 mn:9 specially:1 deutsch:1 pulse:2 zero:3 dynamics:2 choices:1 odd:1 frunzio:1 ˆp:1 what:1 nonlinear:1 trapping:1 rate:1 section:4 expressed:1 current:2 experiment:2 en:14 issues:1 above:2 shared:1 ner:1 consisting:2 satisfy:2 full:1 simultaneously:1 lei:1 qm2:1 equals:1 here:6 atoms:1 desired:2 plenio:1 groups:2 represented:2 strong:2 z0:2 remark:1 involved:3 allows:1 eberly:2 p2:3 resulting:1 δqr:1 pick:2 resonance:2 proof:13 king:2 via:1 divide:1 app:1 turchette:2 apply:3 unit:1 use:2 prove:4 super:1 girvin:1 next:1 comparing:1 mation:1 m1:1 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0705.1068.txt |@word fredenhagen:4 arrives:2 symmetrybreaking:3 lagrangian:1 eκ:1 results:6 leads:4 pearce:1 generalize:1 comments:1 computation:4 intricate:2 gn:4 schweigert:1 contributions:2 issues:1 consider:2 compact:1 eu:2 terms:4 calculate:1 integral:2 tw:14 solution:1 γp:2 tr:4 simplify:1 charge:3 rg:3 those:11 th:36 under:7 ingredient:1 overlaps:3 p2:1 conjecture:1 lack:1 string:11 preserved:4 orthogonal:2 very:3 kcl:3 choice:3 every:1 decide:2 mrtn:1 gaberdiel:4 matrices:2 deformations:5 strand:1 generalised:1 induced:1 obvious:1 unlike:1 level:16 turns:1 list:1 applicable:1 deals:1 discrete:4 kondo:3 minimal:2 recall:1 indices:1 entropy:1 shows:2 configurations:1 possibility:2 zm:1 zn:1 smaller:2 force:1 ga:1 requirements:1 literature:1 sign:1 generalisations:1 zero:2 displays:1 insertion:1 further:3 cft:3 odd:14 targets:3 linear:4 even:53 what:3 plays:1 appear:1 gk:1 section:14 lawrence:1 agrees:1 current:4 above:5 deal:1 new:6 method:1 contrast:1 satisfy:9 supporting:1 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0705.1073.txt |@word secondly:1 homomorphism:1 similarity:2 four:5 prefix:8 consists:1 relationships:1 whose:5 isometric:1 4ns:1 paris:1 auk:2 swap:1 under:7 cm0:2 summarizes:1 every:6 school:1 solution:3 admissible:2 vector:58 indices:2 consistent:1 estimates:4 direct:1 approximation:2 likely:1 implemented:1 even:6 iterating:1 rationally:1 selected:1 birkhoff:1 above:22 new:4 increasing:3 consisting:2 pioneering:1 kicked:1 never:2 here:9 atoms:1 represented:8 contraction:4 obtained:4 study:1 completely:1 suitable:4 projection:3 explained:2 cylinder:3 highly:1 total:1 rψ:2 unit:12 would:5 kα:1 substitutions:2 discrepancies:3 call:7 m0:11 m3:3 m2:18 type:2 berlin:2 must:11 springer:2 word:7 quartic:3 characterize:3 mn:17 mi:5 mk:2 root:9 example:7 renormalization:2 give:9 preserving:2 indicates:1 times:1 absolute:2 end:1 provide:2 verify:6 feature:1 how:1 significance:1 answer:1 description:1 earlier:1 diagram:4 summarize:2 law:2 meaningful:1 third:1 summing:1 complexity:1 order:8 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0705.1075.txt |@word represent:2 prebiotic:1 caused:2 global:1 dynamic:1 focus:1 existing:2 leads:1 jawaharlal:1 signatures:1 cooperative:1 consists:2 sci:2 causes:3 whose:9 preserves:1 samal:1 graph:10 concerned:2 removal:2 critical:1 those:1 under:6 stochastic:1 nodes:16 include:3 dramatically:1 periphery:9 updated:2 presently:1 virtue:1 organizations:1 very:2 soni:1 results:4 every:3 updates:1 vast:1 montoya:1 obvious:1 level:1 turns:1 fragile:2 companies:1 fewer:1 large:3 systemic:1 catastrophes:1 small:5 biological:1 configurations:2 upper:1 smaller:3 slower:1 consistent:2 fragility:8 literature:1 zero:1 hyde:1 picked:2 sustaining:2 raup:1 dynamics:12 even:3 what:2 nonlinear:1 appear:1 organisms:1 near:1 find:4 reminiscent:1 version:1 above:7 new:7 increasing:5 order:1 preserved:1 contrast:1 coefficient:1 evolving:5 genes:1 here:5 understanding:1 behaviour:4 reported:1 explore:2 path:3 along:3 quite:1 implicit:1 change:3 extreme:1 drops:2 incoming:1 spite:1 institute:2 study:3 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0705.1090.txt |@word represent:1 surrounded:1 sci:1 illustrates:1 scf:1 results:22 illustrated:1 sunk:1 ionize:1 francesco:1 go:1 faster:1 causes:1 whose:2 flannery:1 depend:1 producing:1 technique:1 environment:3 critical:1 marchand:1 3he:1 alberto:1 stable:5 hermann:1 include:1 worth:3 indicating:2 summarizes:1 applied:1 probe:1 departament:1 downstream:1 outside:2 very:7 account:1 stabilized:1 repulsion:1 decide:1 experimentally:5 difference:3 condition:1 preuss:1 squares:1 obvious:1 quantitatively:1 presented:6 large:6 solved:2 detected:2 science:1 small:4 setup:1 programme:1 strongly:1 smaller:3 force:2 findings:2 cederbaum:2 consistent:3 lightest:1 direct:1 past:1 threshold:6 likely:3 noise:1 design:1 profiles:4 further:2 chem:11 scientific:1 even:3 established:2 interatomic:1 appear:2 richer:1 lowest:1 while:3 cell:2 consistently:1 experiment:2 localized:1 above:3 new:3 increasing:1 acknowledgments:1 contrast:1 pioneering:1 supporting:1 hern:1 arb:1 respectively:4 promising:1 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0705.1091.txt |@word neighbors:8 represent:2 code:2 consider:5 remarkable:1 similarity:5 caused:2 global:71 dynamic:1 results:11 existing:2 four:3 eds:1 generalize:1 per:2 perturbations:1 abundant:3 causes:2 whose:3 certainly:1 maximally:2 calculate:3 tv:2 iii:2 illustrates:1 endogenously:2 uniqueness:1 does:3 promoting:4 present:2 th:2 under:8 nodes:1 include:1 endogenous:4 applied:2 belonging:1 very:6 regional:3 induce:4 focus:1 summarized:1 little:2 condition:2 leads:3 indicate:1 induced:2 homogenize:1 presented:1 issue:1 formule:1 large:4 frozen:6 vector:6 small:19 enhance:1 path:1 configurations:6 concluded:1 smaller:3 illustrating:1 findings:1 trend:2 balears:1 prevails:1 second:2 deutscher:1 perspective:1 manner:1 qualitatively:1 dynamics:15 implemented:1 required:2 will:2 appear:2 iterating:1 section:6 resume:2 delicate:1 find:9 attitudes:2 above:5 new:1 increasing:5 public:1 contrast:1 full:3 degree:1 mechanisms:10 realizations:1 component:5 preserves:1 here:6 following:3 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