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0705.0051.txt |@word secondly:1 lagrangian:2 desirable:1 four:7 parameterization:1 localized:4 whose:2 const:2 calculate:2 presents:1 aut:2 under:9 hebecker:1 γa:1 worth:3 divergent:1 risk:2 every:1 affect:3 basics:1 solution:7 indices:2 jhep:1 force:3 consistent:2 guidelines:1 approximation:2 second:6 even:5 above:15 new:5 coefficient:1 bi:15 residual:1 here:9 mew:2 possibility:4 jcap:1 represented:1 elaborate:2 unwanted:2 changes:1 neutrino:1 total:1 linearly:2 plot:1 would:28 motivate:1 negative:11 therefore:8 m2:2 type:1 von:1 separated:1 vacuums:1 successful:3 curvature:1 berlin:1 warm:1 must:2 springer:1 lorenzana:7 word:1 room:1 mb:5 work:8 mp:26 mx:3 riotto:1 indicated:4 organized:1 stressing:1 involve:1 indicates:2 uam:1 reviewing:1 want:1 absolute:1 end:5 provide:15 feature:4 very:4 symposium:1 modulation:5 after:1 lay:1 law:3 constants:26 effective:29 maintain:1 keeps:2 b650:1 order:7 over:1 observational:1 japan:1 before:7 fis:1 acciarri:1 manageable:1 fit:1 fix:1 fig:5 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0705.0071.txt |@word spherical:3 restriction:1 since:1 consider:4 laplacian:5 solutions:5 satisfies:1 its:2 gh:1 inverse:2 ln:1 parametrization:1 coordinates:3 only:2 potential:2 factor:1 integrable:2 kθ:3 real:2 iθ:1 kπ:2 df:1 possible:4 geometrical:1 every:2 they:1 half:1 dv:1 now:4 dr:1 normalizable:1 february:1 imposed:1 riemann:2 arxiv:1 solution:3 factorization:1 composition:1 proposition:6 radial:2 2n:1 inspection:1 straight:1 2k:1 square:2 deduce:1 obtains:1 moreover:1 our:1 gmail:1 shown:1 algebra:1 studying:1 acting:1 daniel:1 2kπ:1 math:1 satisfy:1 associate:2 standard:1 equations:1 obtained:1 integers:1 about:1 cot:1 r2:1 holomorph:10 impose:1 allows:2 side:1 consequence:1 argue:1 com:1 first:3 origin:1 family:7 point:1 simple:1 harmonic:1 factorize:2 multiplying:1 least:2 operator:4 proved:1 angular:18 unit:2 illustrate:1 prove:2 removing:1 system:1 construct:2 defined:3 cauchy:2 call:1 way:1 forward:1 ph:1 type:2 independant:1 define:1 function:11 holomorphic:4 form:1 uv:1 odinger:3 immediate:1 part:4 because:1 written:1 distance:1 applying:1 exponential:1 uu:1 equation:4 r3:5 us:1 while:1 suppose:1 following:2 example:2 proof:2 motivation:1 associated:1 dθ:1 almost:3 wherever:1 abstract:1 vk:1 iv:7 sphere:4 say:1 manner:1 vv:1 tan:6 functions:7 depending:3 cos:3 same:1 note:1 application:1 complex:6 nr:2 sin:19 independent:2 product:1 elements:1 singular:1 may:1 algebraic:2 plane:1 fg:1 pair:1 schr:3 dφ:2 observe:4 so:1 time:3 n2:1 n3:1 fact:1 |
0705.0072.txt |@word monte:1 partial:1 magnetic:1 results:2 four:1 scalar:27 grateful:1 21st:1 ver:1 b387:1 paris:1 intensive:1 charge:1 critical:3 th:1 include:4 tc:1 conjecture:1 b185:1 far:1 multi:1 summarized:2 emphasized:1 level:1 notes:1 large:3 small:1 noted:1 smaller:3 force:1 plaquette:1 tex:1 second:1 schaefer:1 enhancement:3 dynamics:6 oller:1 carlo:1 linear:1 even:1 reviews:1 section:1 brief:1 b592:1 experiment:1 morozumi:1 above:1 new:2 method:2 contrast:2 quenched:3 condensed:1 full:3 jido:2 understanding:2 explore:2 mev:5 address:1 concluding:1 along:1 z2:1 deduced:1 obtained:3 kek:1 institute:1 study:1 larger:2 controversy:1 suggests:2 survey:1 b633:1 suggestion:1 action:1 resonance:5 studies:2 composed:1 ipn:1 gluon:2 1st:1 meson:17 propagators:1 d70:1 would:3 negative:1 france:1 calculation:6 nucl:4 therefore:1 qcd:15 taken:2 black:1 theoretical:2 diagrams:4 more:1 quigg:1 lowering:1 initiated:1 becomes:2 naive:3 known:1 iii:1 md:2 account:4 ρb:1 setup:1 work:1 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0705.0073.txt |@word vorticity:1 consider:7 similarity:1 lagrangian:2 cial:1 reversibility:1 results:2 leads:1 scalar:1 entropy:4 grateful:1 follow:2 certainly:1 inverse:3 ott:1 equivalence:1 must:1 infinitesimally:1 present:2 th:1 under:9 stochastic:1 enjoying:1 bonetto:1 very:5 brownian:1 activation:1 eckmann:1 lyapunov:37 probability:2 every:2 application:1 exact:1 condition:3 arrange:1 randomness:1 clouds:2 hamiltonian:4 incompressible:1 t2:8 solution:1 t1:9 large:35 wst:3 balkovsky:2 small:9 eigenvalues:6 inertial:10 upper:1 smaller:2 insignificant:1 approximation:3 zero:5 value:1 pass:3 qualitatively:1 dynamics:8 theory:2 even:2 stands:1 ˆw:1 itˆ:1 sum:5 localization:1 near:1 version:1 above:13 new:3 coefficient:1 full:1 evaluating:1 realizations:1 here:9 explore:1 separation:1 relaxation:4 strong:3 respect:1 change:1 contraction:1 obtained:2 remark:1 trans:1 nonuniform:1 institute:2 involved:1 study:6 larger:3 allows:3 resulting:1 action:1 hospitality:1 studies:2 york:1 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