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0705.1953.txt |@word ibid:1 secondly:2 opal:2 consider:21 maximum:2 squared:2 results:9 existing:1 four:9 facilities:1 scalar:4 signatures:1 mnn:1 hanging:1 expressions:11 2xy:6 contributions:51 ward:3 causes:1 particles:14 certainly:1 inverse:3 depend:3 calculate:9 quiros:1 simplify:3 tr:14 relating:1 former:1 kγ:1 kβ:6 charge:4 okada:1 present:2 th:2 kδ:1 kλ:9 analogous:1 fermionic:2 giga:1 kν:67 divergent:5 applied:1 kρ:10 aleph:2 amplitudes:18 straightforward:7 outside:1 very:4 mn2:39 assuming:3 mn4:6 barbiellini:1 choice:1 jets:1 wavy:1 summarized:1 mixing:8 zµ:17 matrices:3 m2f:29 condition:2 leads:1 rewriting:3 num:2 level:15 sundrum:2 erratum:1 gravitons:1 fewer:2 integrated:3 large:17 convenience:1 vector:2 science:1 small:4 relation:1 equation:45 schroeder:1 upper:1 abbreviated:2 mn:15 euler:1 renormalized:2 parameterization:4 sin2:5 prediction:1 literature:1 approximation:18 civita:12 likely:2 perspective:1 pass:1 further:2 significant:2 odd:3 4x2:2 tev:2 linear:1 even:2 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0705.1954.txt |@word logarithms:1 gt:5 homomorphism:4 consider:8 depends:1 alg:1 particular:2 results:16 invent:3 four:1 proposition:20 generalize:1 kulkarni:1 gn:21 gm:5 denotes:1 gk:10 rigidity:1 devoted:1 whose:4 γx:4 depend:3 tr:1 finally:2 γh:2 yˆ0:7 depending:1 th:4 under:12 alberta:1 exposition:1 analogous:2 include:1 ingredient:1 applied:2 conjecture:31 global:7 g2:2 g1:11 zhang:5 far:2 pages:3 rise:1 conditions:2 corollary:5 every:19 associated:1 difference:2 obvious:1 riemann:1 turns:1 michael:12 solution:1 large:9 section:18 small:1 inspection:1 noted:2 application:1 des:2 says:1 coordinate:1 submodules:1 edu:2 second:2 follow:1 reine:1 further:3 dynamics:5 quite:2 canonical:6 even:1 nonlinear:1 appear:1 sum:1 abo:1 ˆb:9 version:6 poles:1 sur:2 above:7 fractional:2 new:4 falling:1 satisfy:14 degree:21 respectively:2 applies:1 mordell:14 equals:3 here:2 desired:5 les:1 groups:1 situation:2 directions:1 gαk:4 along:1 strong:1 equations:7 logarithmic:2 deduced:1 remark:6 ǫx:7 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0705.1961.txt |@word alm:3 χm:9 alk:6 ali:4 ét:50 ala:2 λc:1 λb:4 λa:4 λe:1 lll:3 λk:1 am0:1 λi:3 lm:1 λn:4 gh:5 sér:1 x1:4 lb:4 la:5 aui:1 tt:27 xm:7 tr:373 ts:101 ψj:7 tn:20 cc:39 lt:3 aut:1 ti:5 tg:2 γg:4 ppi:2 lx:1 t②:5 yk:4 xa:1 bij:1 αg:49 g1:9 dim:2 ama:1 z1:1 sup:13 dc:25 yg:3 yf:1 ϕm:31 yx:2 yz:3 ϕi:90 ϕh:14 ϕk:42 ϕj:2 gx:1 ϕa:18 yw:2 ϕb:17 qq:1 σm:2 qx:1 arxiv:1 t2:9 t1:9 δn:11 uu:2 ρp:2 xy:21 l2:30 ejr:2 l1:34 qi:65 qk:1 qj:18 zl:1 zn:1 en:1 ei:18 zj:1 ej:6 mi:3 zf:1 j0:6 mχ:7 λei:4 b1:24 b2:18 zr:1 rt:124 αs:2 αr:2 rq:54 rr:35 rs:238 gk:4 qqqq:2 rx:1 ry:1 may:1 r②:13 rb:4 i0:12 dλ:10 rn:3 o2:1 math:1 µb:1 pr:84 bf:3 ba:2 bb:5 χi0:5 bl:10 bm:40 δi:6 bi:51 bj:14 bk:6 uz:1 jr:6 τj:1 js:2 e1:1 ker:40 oo:2 σi:2 ok:1 r1:4 r2:5 σa:1 τi:6 oc:1 oa:1 τf:3 βg:22 βm:13 bijk:3 ida:2 xj:26 xk:18 xi:48 co:4 été:14 h2:15 cb:24 xyz:2 h1:15 lk:10 xz:1 2nz:3 bm0:1 f3:3 cr:6 li:18 πb:25 πc:7 pp:3 πa:25 πj:2 πk:1 πh:1 πi:35 ai0:5 πm:9 πr:6 ψk:2 ψh:4 ψi:27 m0:3 ψl:6 ψm:7 pj:3 pk:10 ph:18 pi:28 ψf:5 pm:4 ir:16 ea:1 ooo:6 bmm:2 ra:1 hi:10 ①t:13 xxj:1 c1:10 c0:69 iii:10 rsq:3 c2:10 ρa:9 ρe:2 βr:1 ρf:5 ρi:26 t③:1 ρj:2 ρm:1 us:3 kk:21 yj:38 ui:5 fm:4 str:119 aij:1 ug:5 aijk:3 ia1:3 pa:2 hk:12 ia2:3 aa:8 f1:7 f2:2 ab:9 ae:2 af:59 ai:272 ah:9 ak:37 aj:95 am:58 iv:4 ii:11 ap:1 ②s:15 ar:1 o:10 ϕr:3 ax:2 inf:5 id:11 g2:8 φp:2 ni:1 nk:4 min:76 lim:7 k2:3 k1:6 k0:3 φf:7 φh:1 sij:12 fq:2 mt:3 χj:3 i1:7 max:54 i2:5 αn:11 2n:7 a1:82 a2:79 qqq:3 xn:4 fi:10 fj:3 fk:9 fl:7 s②:4 fn:1 ψi0:4 s②st:4 χl:2 pg:1 χq:1 très:4 ss:131 sr:1 sq:69 kh:9 st:807 si:5 ρm0:1 n2:3 χh:2 sf:1 χi:17 ul:1
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0705.1962.txt |@word sci:1 caused:2 magnetic:2 focus:1 leads:1 tensile:1 tomioka:1 nwo:1 issues:1 simon:1 etching:7 subjected:2 technique:1 removal:1 environment:1 program:1 onderzoek:2 those:1 ti:1 sputter:1 applied:1 probe:2 straightforward:1 zhang:7 very:3 kω:2 amorphous:1 results:2 oxides:1 lcmo:7 four:2 presented:1 did:1 large:7 small:3 der:1 concluded:1 smaller:2 colossal:2 rate:1 design:1 further:2 leakage:1 even:4 nonlinear:2 sun:3 section:1 brief:2 thickness:1 current:21 causes:1 above:1 flowing:1 increasing:1 moge:1 thin:3 full:1 degree:1 here:1 reported:3 srtio3:3 separation:3 relaxation:4 directions:1 strong:1 appears:1 change:1 sputtered:1 box:1 balance:1 study:1 larger:2 allows:1 commonly:1 amount:1 sawa:1 unwanted:1 makes:1 wetenschappelijk:1 useful:1 scales:3 suddenly:1 while:1 visible:1 venkatesan:1 joule:3 plot:3 use:1 would:1 positive:1 ca0:9 negative:1 discrepancies:1 calculation:1 therefore:2 m2:3 films:11 more:2 pads:2 under:2 ascribe:1 about:1 particular:2 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0705.1963.txt |@word replacing:1 l17:1 partial:3 consider:3 remarkable:1 haensel:5 pulsars:1 interference:1 qvf:3 hot:1 results:24 dynasty:1 four:2 edp:1 selection:1 york:3 grateful:1 jaikumar:2 follow:1 primes:1 abundant:1 contributions:3 compact:1 whose:1 bremsstrahlung:1 depend:2 calculate:2 producing:1 technique:2 plasmons:38 horn:1 accordingly:1 charge:2 does:1 petersburg:1 excluded:1 under:3 nonsuperconducting:22 tg:1 microscopically:1 include:4 magnetic:5 norm:7 p2:10 yr:1 supported:1 straightforward:2 schrieffer:1 very:4 frequencies:15 assuming:1 conditions:2 focus:2 electron:34 putting:1 orientations:1 remarks:1 ui:4 compression:2 difference:3 exact:10 expectations:1 condition:3 trigger:1 believed:1 tokyo:1 riemann:1 immediately:1 presented:6 lombardo:2 turns:1 tanh:4 solution:7 large:2 solved:1 science:2 small:10 provided:3 degeneracy:2 serious:1 smaller:6 vitally:1 mi:5 semianalytical:1 eas:1 prediction:1 literature:1 sign:11 approximation:19 surrounding:1 second:5 larmor:1 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0705.1965.txt |@word represent:2 concept:1 squared:1 results:1 four:2 commute:1 computation:6 consists:2 factorizing:1 devoted:1 λij:11 maximally:1 calculate:5 drij:1 γs:4 γr:7 tr:1 byrd:5 γk:4 γi:6 jafarizadeh:1 γm:1 under:5 worth:1 ingredient:1 orthogonal:5 very:1 geometrical:2 every:1 entries:1 matrices:43 condition:1 presented:1 knight:1 leave:1 discrete:1 vector:1 dit:3 eigenvalues:13 optics:1 noted:1 degeneracy:4 concluded:1 work:3 lewenstein:1 haar:2 sin2:9 zero:1 gθ1:1 further:2 canonical:4 putting:1 aim:2 what:2 sud:1 invoking:2 diag:3 section:5 brief:1 semidefinite:1 above:1 method:4 compact:1 iran:1 degree:2 respectively:2 component:4 understanding:1 plenio:2 cos2:1 groups:2 slater:9 equations:3 obtained:2 great:1 ekl:2 classified:1 study:5 allows:1 products:1 ˇa:1 permutation:2 action:6 quotient:5 useful:1 divide:1 homomorphic:1 wik:2 first:3 total:1 rki:1 rkj:1 use:3 takes:1 remains:1 positive:3 contains:1 finally:1 process:1 noting:1 m1:3 therefore:13 m2:3 bures:46 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0705.1966.txt |@word partial:1 consider:1 iib:2 results:5 leads:2 scalar:3 consists:4 gs:1 contributions:1 reasoning:1 kowalski:3 λii:1 superspace:1 tr:1 program:1 aut:1 th:15 under:2 γa:8 te:1 ın:7 sound:1 supported:1 string:2 straightforward:2 far:1 translations:2 2γa:1 formula:1 fab:1 exact:2 vast:1 riemann:1 solves:1 solution:3 solved:1 vector:7 evades:1 pakis:1 indices:1 majorana:2 ohashi:1 programme:2 jhep:2 abbreviated:1 work:1 says:1 concise:1 dealing:1 consistent:3 matrices:1 b134:1 castro:2 follow:2 further:1 davis:2 canonical:2 eia:2 gibbons:1 abc:1 invertible:1 section:2 brief:1 current:1 consistently:1 above:6 hull:2 fixings:4 pelavas:1 3f:2 meessen:2 satisfy:1 gutowski:1 alishahiha:1 graviphoton:1 equations:15 appears:1 change:1 obtained:1 instituto:1 cern:1 involved:1 inspired:1 vectors:2 ignoring:1 resulting:2 social:1 action:10 suitable:1 makes:1 hyperscalars:1 attractor:1 multiplets:5 highly:1 fbc:1 wit:1 apply:2 select:1 derivatives:1 use:6 gravitino:5 fondo:1 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0705.1967.txt |@word neighbors:3 represent:2 partial:3 consider:4 chain:5 varying:2 results:24 four:2 scalar:1 p00:1 ρstat:1 go:1 follow:1 poorly:1 λij:3 certainly:1 voter:1 depend:1 calculate:2 dickman:5 cjn:1 environment:1 answered:1 critical:154 those:3 under:1 stochastic:2 nodes:8 heterogeneity:2 worth:1 carried:1 applied:7 conjecture:1 probe:1 jensen:4 straightforward:1 very:12 indication:1 multi:1 choice:3 denoted:1 ical:1 figs:7 suggests:1 fall:1 affect:1 difference:3 exact:8 condition:3 presented:5 transmission:3 ref:2 t2:20 solution:4 fewer:1 t1:19 large:4 convenience:1 vector:1 small:6 equation:3 configurations:5 locate:1 employing:3 disordered:26 destroys:1 dealing:1 consistent:3 estimates:7 prediction:2 sign:1 approximation:4 fold:1 second:5 cost:1 displays:1 further:9 choices:1 odd:1 substitute:1 linear:5 even:4 aim:1 what:2 errors:1 appear:1 cover:1 giving:1 sum:5 selected:1 dropping:1 cell:1 below:4 annals:1 poles:3 above:9 scientists:1 new:2 increasing:5 ever:1 method:8 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0705.1968.txt |@word magnetically:1 represent:1 now:1 partial:1 consider:3 remarkable:1 caused:5 magnetic:16 excellent:1 dynamic:1 results:10 four:2 eds:6 heliocentric:1 expressions:1 abundant:1 contributions:3 whose:2 ionized:1 calculate:2 simplify:1 finally:2 those:8 ti:28 circumstances:2 applied:2 belonging:4 amplitudes:16 takes:1 very:3 eαl:1 springer:1 induce:6 focus:1 electron:1 p1:1 figs:1 emphasized:1 level:43 turns:2 anisotropy:3 solution:1 solved:2 vector:2 small:5 il:1 upper:35 smaller:1 insignificant:1 haar:2 unpolarized:6 aip:1 approximation:1 second:2 asp:7 tangential:1 further:1 ter:2 odd:1 linear:18 spectral:21 mu:1 what:4 avrett:2 appear:1 rate:5 sun:3 section:3 d3:4 paragraph:1 above:7 chromosphere:4 obvious:2 contrast:1 3d:2 canarias:1 full:6 degree:2 respectively:1 error:2 modify:2 here:7 atoms:12 behaviour:1 believed:1 magnetism:2 selective:7 situation:1 concluding:1 consideration:11 along:4 strong:1 equations:9 change:2 obtained:7 instituto:1 noticeable:2 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0705.1969.txt |@word concept:2 consider:3 equalities:1 splitting:1 existing:1 four:2 eds:1 entropy:1 computation:1 follow:1 research:1 sachdev:1 particles:1 dimensionality:1 pironio:1 leung:1 eligible:1 eigenbasis:1 tr:4 finally:1 spain:1 th:1 under:6 kurtsiefer:1 analogous:1 indicating:1 ingredient:1 string:1 straightforward:1 orthogonal:1 far:2 choice:1 multiparticle:1 experimentally:3 matrices:1 leads:1 kaszlikowski:4 presented:2 issue:1 try:1 convenience:1 vector:2 small:3 lewenstein:1 mediterranean:1 direct:1 zero:2 correlator:1 chen:1 further:1 odd:5 canonical:1 even:9 established:2 what:1 favour:1 expressed:2 find:1 current:1 experiment:1 above:5 shared:1 apply:1 method:3 paradoxical:1 body:5 supporting:1 condensed:2 full:1 notions:2 mec:1 ρab:1 respectively:3 here:4 encies:1 desired:1 plenio:1 leeds:2 ramon:1 groups:1 address:1 consideration:1 along:1 change:1 cerf:2 remark:1 involved:2 study:1 vectors:5 contradiction:2 recently:2 products:1 permutation:2 hospitality:1 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0705.1970.txt |@word christos:1 lognormal:1 concept:2 semantic:3 consider:10 chain:2 issued:2 stems:2 vldb:1 results:27 existing:4 leads:4 computation:4 edu:2 go:4 query:3 expressions:2 minuscule:4 issues:2 whose:2 aug:1 fellowship:2 graph:6 spain:1 th:2 under:58 include:8 pei:1 overlaps:2 division:2 random:2 returned:2 advantage:2 zhang:1 very:18 bm:2 rise:4 focus:2 handling:2 lru:47 knapsack:2 word:2 difference:4 exact:8 adaptive:1 motwani:1 presented:4 evaluation:5 michael:2 solution:11 skewed:15 large:16 discrete:3 vector:6 demonstrated:2 section:10 small:10 markov:6 commented:2 smaller:2 illustrating:2 cooperative:2 incremented:2 approximation:17 rate:8 street:2 design:3 value:8 follow:2 chen:1 further:4 cao:1 theory:1 even:8 towsley:3 appear:2 complexities:2 sum:6 selected:1 brief:1 expressed:2 uniform:2 access:2 version:2 causes:1 above:10 designing:3 international:4 3a:6 increasing:2 method:38 body:2 slot:2 outgoing:2 christian:1 morgan:1 here:2 agreement:2 lack:4 radicals:2 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0705.1977.txt |@word yellow:1 leads:1 follow:1 calculate:1 charge:1 present:2 th:1 four:1 squares:4 presented:1 t3:1 large:1 small:2 kolhinen:1 upper:2 b531:1 zd:10 direct:3 rate:1 further:1 tev:2 appear:1 section:2 selected:1 reminiscent:1 new:1 acknowledgments:1 coefficient:1 med:3 wiedemann:2 modify:1 here:3 z4:4 strong:1 observing:1 z3:6 cern:1 dokshitzer:2 study:3 larger:4 changes:1 via:1 useful:1 convolution:1 gluons:4 scales:1 quarkgluon:1 gluon:3 pdfs:2 quenching:1 use:3 predictions:1 comparing:1 nucl:2 therefore:2 qcd:1 reflects:1 more:4 partons:1 normalized:3 particular:1 mf:9 work:1 modified:7 labeled:2 learn:1 following:2 my:1 example:1 ions:1 arleo:4 figure:7 process:1 high:2 tag:1 information:1 provide:1 feature:1 hot:1 map:1 may:1 fa:3 fb:1 produce:1 ff:1 lhc:7 quantify:1 spectra:2 so:3 allow:1 correlation:4 sa:2 order:1 tagged:1 baier:2 help:1 nucleon:1 indeed:1 over:1 ffs:2 produced:4 cuts:5 before:1 thank:1 decay:1 lo:3 production:4 fig:4 covered:1 eur:2 maximal:1 affected:1 effects:15 they:1 yu:2 2f:2 l2:1 universit:1 characterized:1 heavy:7 mueller:2 energy:17 hard:3 measure:1 our:1 eq:3 tabulate:1 out:1 dominates:1 shadowing:1 space:2 restricted:2 since:1 rev:2 particles:2 collisions:8 induced:2 c30:1 mπ:2 possibility:1 approaches:2 formation:1 created:1 eskola:2 could:1 impose:1 length:1 jhep:1 done:1 directly:2 open:5 jet:6 introduction:1 leading:1 top:1 construct:2 their:2 1f:2 final:2 gives:1 2ab:1 way:1 asymmetric:1 tool:1 transverse:4 x2:2 x1:2 than:1 see:1 matter:1 determined:1 ktd:4 treated:1 b484:1 clearly:1 aurenche:2 physique:1 mechanism:1 note:1 channel:1 collaboration:2 who:1 antishadowing:1 involving:3 significant:1 pair:2 ptγ:2 probes:2 z34:8 radiating:1 calculated:1 m234:1 principle:1 kt:16 constrain:1 physics:1 assistance:1 drastically:1 show:1 dy4:1 probe:1 dy3:1 principal:1 access:1 believe:1 ratio:12 state:4 should:1 black:2 do:1 his:2 gev:59 di:1 dd:6 de:2 dc:1 pions:1 dz:3 closely:1 report:1 processes:1 dpt:5 qt:5 arxiv:1 recoiling:4 set:1 correlations:7 relative:1 namely:1 result:1 close:1 detect:1 nuclear:1 written:1 various:4 invariant:1 available:1 ωc:22 both:4 peign:1 many:1 density:1 color:1 cg:1 proton:2 cd:2 cq:1 pp:5 salgado:2 pt:31 transparencies:1 due:1 been:2 pb:35 much:1 basic:1 expected:3 ph:6 define:1 dots:3 algeria:1 observable:1 photon:13 offers:1 c9:1 observe:3 those:1 case:4 aim:1 balance:1 thus:2 vanish:1 wa98:1 guillet:3 cross:2 same:8 complex:1 modification:1 gets:2 events:1 used:2 dǫ:1 laboratoire:1 effect:1 ion:6 lower:1 c69:1 roughly:1 thought:1 model:2 left:6 ultrarelativistic:1 underlying:1 scattering:3 dqt:2 cut:2 bdmps:3 conclusions:1 photons:4 parametrization:1 improvement:1 lett:2 input:1 plasma:1 momentum:6 around:1 phenomenology:2 eorique:1 vacuum:1 rhic:1 loss:8 imposed:1 particle:5 separately:1 lose:2 become:1 reduced:1 right:4 transport:1 pronounced:2 scale:2 lead:2 bottom:3 affects:1 quarks:3 dz3:1 dz4:1 assuming:1 fragments:1 pbpb:1 qˆ:2 properties:2 panel:1 about:1 kinematical:1 kinematic:1 most:2 discussed:1 aggarwal:1 into:1 phase:2 because:1 references:1 parton:6 theoretically:1 hep:3 initial:2 long:1 encouragements:1 fraction:1 function:4 medium:17 but:2 neutral:1 hopes:1 fragmentation:12 made:1 up:1 below:1 limit:1 distribution:3 called:2 ab:1 relates:1 distributions:7 dγ:3 regime:1 functions:7 variety:1 detail:1 valid:1 picture:1 urs:1 nucleus:1 suppression:2 schiff:2 structure:1 pion:4 dω:1 dσ:11 chiappetta:1 mass:1 electromagnetic:1 observables:4
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0705.1978.txt |@word limited:1 finkbeiner:2 partial:1 schlegel:2 switched:1 ciao:2 magnetic:2 luminosities:1 results:2 existing:1 four:3 antennas:1 higher:3 cooperative:1 edu:1 consists:1 disk:2 mercer:1 hole:5 issues:1 compact:7 content:5 magnitudes:3 paris:1 finally:1 those:3 under:1 kλ:9 narrabri:1 indicating:1 2mass:2 case:1 lack:1 mpc:2 mixte:1 vla:53 frequencies:5 rise:1 geometrical:1 fabbiano:2 electron:2 01s:2 affect:1 matrices:1 look:1 scholar:1 beam:10 presented:3 did:3 turns:1 michael:1 occurs:1 large:2 adjust:1 lewin:1 though:1 configurations:2 upper:4 smaller:1 trend:1 miller:2 consistent:5 acis:2 surrounding:7 likely:6 cost:1 pasp:1 go:1 cornelia:2 spectral:11 index:9 what:1 errors:2 sub:2 sum:1 near:3 uniform:4 mv:1 suspect:1 sur:1 above:3 new:7 contributes:2 consisting:1 filled:2 corbel:2 dwarf:2 arcsec:1 even:3 iraf:1 here:2 hours:2 reported:1 objects:1 astron:1 others:1 l29:1 ratio:1 along:1 strong:1 observing:1 appears:1 calculate:1 obtained:5 search:1 weisskopf:2 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0705.1979.txt |@word sci:1 consider:3 vattay:1 results:4 leads:1 eds:1 houches:1 intricate:1 denotes:1 feeding:2 calculate:2 paris:2 deterministic:5 finally:1 protocols:3 stable:7 stochastic:1 include:1 case:7 orthogonal:1 far:1 decreases:1 focus:1 lyapunov:3 every:1 lecture:1 affect:1 difference:1 condition:1 four:2 riemann:1 presented:1 discrete:1 small:2 optics:1 upper:2 smaller:1 occurrence:1 deutsch:1 dealing:1 second:3 rigorous:1 qualitatively:1 dynamics:22 carlo:1 even:2 index:1 nonlinear:5 xor:3 section:1 values:3 increasing:1 consisting:2 slotine:1 full:1 degree:1 respectively:2 here:6 behaviour:1 explore:1 selective:1 represented:1 strong:1 z0:2 z2:1 box:1 institute:2 leaves:1 larger:2 suggests:1 periodic:2 resulting:1 usually:1 history:2 via:1 followed:1 divide:1 julia:9 highly:1 giannoni:1 rρ:1 org:1 apply:3 select:1 fed:2 superpositions:1 would:1 emiai:1 positive:3 daad:1 next:1 classically:1 opposed:1 gauthier:1 more:1 started:1 conclusions:1 odinger:1 aware:1 transient:1 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0705.1980.txt |@word ck:2 tm:2 ci:1 p¹:1 xn:44 gr:1 ϕi:1 xm:3 gx0:4 fº:1 h1:8 inf:1 gx:13 øx:3 xi:2 limn:8 rº:4 y0:7 y1:4 gn:24 gm:2 ρn:4 fine:18 dγ:2 gi:7 ni:2 c0:1 sγ:2 lim:7 h0:12 s0:2 xξ1:30 h2:1 un:1 γn:21 sup:1 nr:3 kξ:15 math:1 gγn:9 yi:3 rn:3 gc:5 g1:5 yn:16 may:1 gξ:13 bn:5 ti:8 isom:27 gº:15 nε:3 xº:5 ξi:18 ξj:1 ξk:12 xξ:33 γx:2 ϕj:1 ξn:20 tº:1 c1:5 comb:2 ker:9 xj:3 dim:1 ϕn:2 r0:1 bξ:6 cº:1 ρi:10 arxiv:1 x0:17 t0:3 cat:24 proj:1 nº:13 hi:1 gk:4 hn:3 lº:3 x1:8 b0:2
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0705.1981.txt |@word edm:6 leads:1 commute:1 edu:1 expressions:1 contributions:3 calculate:2 alamos:2 charge:1 th:3 under:2 division:1 wave:3 electron:15 affect:1 difference:2 matrices:1 chapel:1 evaded:1 level:3 dieperink:1 small:1 enhance:1 configurations:1 smaller:1 ze:3 direct:1 approximation:2 second:3 even:5 what:1 stands:1 sum:2 current:1 above:1 acknowledgments:1 contrast:2 eext:6 full:1 multipole:3 atoms:1 ramsey:1 address:2 schiff:5 shift:1 larger:1 allows:2 completely:2 products:1 involves:2 fujita:1 divide:1 screens:1 use:1 usa:2 positive:1 contains:1 negative:1 nucl:2 noting:1 taken:1 survive:1 theoretical:1 freeelectron:1 operators:2 known:1 me:1 involve:1 account:1 shielded:2 work:1 relativistic:13 pieces:2 states:3 unscreened:1 divided:1 write:1 located:1 may:2 consequence:1 so:7 allow:2 discussion:1 ith:2 nucleon:11 pointed:1 conserving:1 years:1 produced:1 experiments:1 mentioned:1 kinetic:1 still:1 excitations:1 its:1 la:1 relativity:3 writing:2 destroyed:1 h0:6 djn:12 violating:1 good:2 effects:3 they:2 dmitriev:1 now:3 discuss:1 polarizable:1 dirac:2 fully:1 university:1 hamiltonian:5 evade:2 magnitude:2 each:1 heavy:1 en:1 energy:4 static:1 lowestorder:1 measurement:1 quantum:1 laboratory:1 happen:1 beyond:1 eq:9 out:1 matrix:2 factors:1 gradient:1 rev:4 denotes:1 hill:1 gov:1 ref:4 ri:4 rk:2 theory:1 interactions:1 diagonal:1 reason:1 e2:1 interaction:4 created:1 motion:1 corrections:5 neglect:1 first:3 origin:3 symmetry:1 thereafter:1 restrict:1 electronic:3 size:4 little:1 leading:5 system:1 their:2 intermediate:1 tighter:1 denominators:1 exactly:1 part:5 cpl:1 authors:1 shortly:1 than:2 showed:1 ac52:1 γj0:12 kov:1 function:1 any:2 polarization:5 liu:2 potential:1 unperturbed:2 electric:8 shall:1 pair:1 why:1 sub:1 order:8 edms:6 electrons:10 usual:1 physics:2 fact:1 show:2 supported:1 purely:1 ground:3 engel:1 should:1 only:7 screening:5 he:6 local:1 over:1 carolina:1 dn:3 do:4 dominant:1 contracts:1 de:2 expectation:2 nearly:1 reversal:2 closure:1 densities:2 arxiv:2 summary:1 06na25396:1 national:1 see:6 justification:1 result:3 sen:1 nuc:10 best:1 wonder:1 nuclear:13 dipole:8 label:1 symmetric:1 state:5 between:1 comparable:1 terms:2 attention:1 however:1 vanishing:1 je:1 σj:14 monopole:3 unc:1 oshima:1 multipoles:1 argue:1 cm:3 nonrelativistic:2 reasons:1 cancel:1 addition:1 screened:4 much:2 corresponding:2 both:1 confinement:1 external:1 c2:1 spin:1 value:3 timmermans:1 will:2 would:1 induced:1 refs:1 thus:1 vanish:1 different:1 perform:1 make:1 same:2 split:1 resulting:1 finite:4 neutron:1 higher:1 counterparts:1 moment:1 uses:1 contribution:3 expand:1 off:1 reflection:1 well:1 kept:1 coordinate:1 claims:1 left:1 just:2 moments:8 when:1 atomic:6 facts:1 point:3 add:1 internal:2 lett:2 excited:2 evaluate:1 confined:1 accepted:1 musolf:1 like:2 particle:1 systematically:1 follows:1 yields:1 nucleons:5 parity:6 because:5 often:2 some:2 does:1 eliminate:1 expansion:3 refers:1 about:1 carried:1 a0:5 discussed:1 o:1 act:1 perturbed:1 sandars:3 into:4 nothing:2 operator:7 assumed:1 there:1 los:2 low:1 was:1 eg:1 lowest:1 north:1 form:1 but:3 volume:1 atom:1 encoded:1 fg02:1 hg:1 truncation:1 lynn:1 wise:1 whether:1 us:3 ur:1 below:2 limit:5 piece:2 called:1 int:7 abstract:1 contribute:3 doesn:2 haxton:1 functions:2 nm:1 no:1 nc:1 generally:1 vanishes:2 field:3 other:1 details:1 department:2 elements:1 commutator:2 generated:1 nucleus:13 included:1 astronomy:1 ago:1 implies:1 coupling:1 pointlike:1 baker:1 lanl:1 portion:1 time:2
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0705.1982.txt |@word partial:1 gr:9 subindices:1 caused:1 global:2 desirable:2 results:3 gx:1 four:1 roy:1 scalar:17 kastor:1 constants:3 3a2:1 remarkably:1 adjustment:1 consider:13 particles:2 preserves:2 inverse:4 depend:5 tx:3 albrecht:1 paris:6 γr:1 equivalence:1 tr:1 former:1 qc:3 finally:4 investigation:2 restriction:2 spain:2 th:22 under:17 tf:1 tg:3 analogous:3 include:2 kν:1 summarizes:1 interacting:1 adiabatic:4 departament:1 straightforward:1 outside:1 very:5 creminelli:1 rise:1 conditions:3 choice:3 wishes:1 fpu:1 leave:2 redefinition:1 hµν:14 associated:2 difference:4 exact:14 condition:8 2κf:4 basics:1 regarding:1 unlike:1 immediately:2 level:5 turns:1 nucl:5 proposals:2 solution:14 duquet:1 large:10 contexts:2 convenience:1 vector:15 wavelengths:1 progress:1 decouples:1 indices:5 eigenvalues:6 c02:1 hospitality:1 noted:2 inconsistent:1 still:2 upper:2 mn:4 boulware:2 bigravity:17 f0i:1 consistent:1 sin2:4 2µh:1 dimensional:1 sign:1 approximation:2 likely:1 enhancement:1 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0705.1983.txt |@word gs:1 gr:2 remarkable:1 rev:1 results:7 superfields:2 four:36 grateful:1 parameterization:1 consists:1 gn:1 gm:1 research:2 contributions:4 gi:6 consider:3 c0:10 referring:1 superspace:1 zd4:2 noncompact:1 recurrence:1 charge:5 program:2 alvarez:1 belavin:6 th:8 under:5 anharmonic:1 must:2 reg:1 worth:1 norm:1 subtleties:1 case:10 digit:1 g3:14 string:1 g1:12 g0:17 recursively:1 differently:1 choice:5 rη:1 formula:1 affect:1 converge:1 condition:1 identity:1 leads:5 school:1 immediately:1 level:6 turns:2 itep:1 solution:5 υb:5 discrete:1 vector:12 math:3 3b:1 caq:2 υr:5 work:2 zi:1 consistent:1 miur:1 mussardo:2 sign:1 fold:1 second:5 follow:1 further:1 cft:3 odd:17 expressions:8 linear:2 even:15 established:1 3x:5 plays:1 power:2 iterating:1 gk:2 section:3 supermultiplet:8 expressed:3 annals:1 poles:5 above:1 boundary:1 3c:3 new:2 t2:4 acknowledgments:1 contrast:1 compactness:1 coefficient:1 give:1 evaluating:2 degree:1 multipoint:1 respectively:1 component:4 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0705.1984.txt |@word secondly:1 partial:7 consider:3 limited:1 γn:10 results:1 leads:3 quadrature:14 proposition:9 edu:1 types:1 expressions:1 disk:2 gk:17 gj:3 row:2 compact:8 whose:2 preserves:1 inverse:3 γk:6 topic:1 restriction:1 tk:3 th:1 stable:1 analogous:1 kθ:1 worth:1 ckλ:3 ingredient:1 applied:4 worse:1 straightforward:1 orthogonal:45 very:1 implicitly:1 stroud:1 choice:2 corollary:2 difference:1 exact:5 condition:1 dim:15 did:1 turns:1 permits:1 t2:23 discrete:3 differential:1 anal:4 noted:1 upper:1 smaller:1 coordinate:1 folds:1 sin2:1 sign:1 approximation:11 second:3 further:2 estimated:1 odd:3 analogue:1 linear:1 even:4 t2j:2 plays:1 pkn:5 sum:6 expressed:1 uniform:4 reconstruction:19 sup:1 new:6 3d:1 satisfy:1 med:1 unbaum:1 submitted:1 degree:20 respectively:3 here:2 cylindrical:1 others:1 directions:1 studia:1 quite:1 equations:3 change:1 knowledge:1 obtained:2 involved:2 study:2 studied:4 allows:5 usually:1 formation:1 fourier:2 hn2:1 york:2 uniquely:1 projection:6 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0705.1985.txt |@word concept:1 consider:9 interference:4 ψ1r:4 varying:4 eckert:1 results:8 r45:1 leads:4 ψ1i:5 childs:1 generalize:1 broader:1 consists:2 expressions:2 compares:1 localized:1 rom:1 increase:1 inverse:1 depend:1 subjected:1 finally:2 kendon:2 arisen:1 elliptic:7 under:1 analogous:2 include:1 norm:1 p2:3 amplitudes:7 md:11 very:1 wave:5 print:1 anywhere:2 ga:1 difference:13 exact:2 condition:2 four:1 randomness:3 xt2:4 level:2 positions:4 proposals:2 solution:1 ryan:1 t1:1 large:4 discrete:3 vector:1 rj:1 rev:13 ψ1l:4 shows:6 optics:2 uncovers:1 smaller:2 slower:3 nineties:1 hillery:1 sign:2 approximation:6 go:1 second:13 evaluated:1 equal:1 further:3 dynamics:6 estimated:2 odd:3 ψdr:2 even:1 aim:1 nonlinear:1 adds:1 stands:1 rate:1 giving:1 section:3 interactions:1 brief:1 expressed:2 networks:1 richmond:2 experiment:1 goes:4 new:3 cassi:1 contrast:2 movement:1 oscillating:1 never:3 component:1 equals:1 mψ:6 them:1 expansion:1 ψ2r:4 equations:1 change:1 obtained:2 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0705.1986.txt |@word monte:1 consider:4 similarity:1 particular:1 desirable:1 splitting:30 four:4 eds:2 computation:2 edu:1 go:4 expressions:1 research:1 reasoning:2 equivalences:2 outperforming:1 cardinality:1 clarification:1 combinatorial:1 deterministic:4 aun:2 languages:24 present:1 th:2 worth:1 case:30 conjecture:3 worse:4 continues:1 springer:3 results:3 worst:17 condition:1 paz:1 splitter:3 upm:1 level:13 issue:1 quintuple:1 list:14 fewer:1 minimization:11 splitted:5 shows:1 smaller:9 elegant:1 second:4 pass:1 further:1 implemented:1 machines:2 theory:2 even:2 what:1 adds:1 appear:5 giving:1 section:7 brief:1 s111:2 current:8 version:2 new:3 s11:5 s10:4 chose:2 degree:1 l1:6 reported:6 sink:2 address:1 re:1 appears:1 box:1 larger:2 queue:16 resulting:2 usually:1 mentions:1 automaton:24 makes:3 useful:2 wia:1 extra:1 s00:6 s01:4 replace:2 visible:1 total:3 environment:1 use:1 asymptotic:4 working:1 prove:1 distinct:2 contains:2 next:1 comparing:1 automata:25 theoretical:3 more:4 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0705.1987.txt |@word neighbors:1 gu:2 code:6 partial:1 systematic:5 pointing:1 rev:11 dynamic:1 results:4 four:6 contributions:1 cases:2 sch:3 increase:1 feeding:4 ac02:1 iii:4 technique:2 finally:1 tm:38 alvarez:1 those:7 under:4 atlas:1 tg:1 te:3 cm2:3 mehta:1 ta:2 letokhov:1 division:1 already:2 very:4 discrepancy:3 none:1 splitting:2 hecht:1 amro:6 every:1 khoo:1 summarized:1 experimentally:2 difference:3 exact:1 deformations:3 condition:1 illustrated:2 level:6 did:1 issue:1 solution:1 fewer:1 large:6 vector:3 min:1 science:2 small:3 zhu:2 inspection:2 noted:1 configurations:3 concluded:1 clark:3 smaller:7 force:1 macleod:1 ten:1 miller:1 direct:1 literature:2 sign:1 fold:5 second:1 bracco:2 further:7 carlo:3 linear:3 blue:4 established:1 what:1 errors:3 adds:1 accumulating:1 cone:1 section:1 axes:4 supplied:1 thickness:2 axial:1 experiment:6 curien:2 above:9 new:3 increasing:1 method:9 hamamoto:4 full:6 lee:4 degree:1 respectively:2 here:3 atoms:2 ionization:2 reported:3 mev:3 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0705.1988.txt |@word limited:1 homomorphism:3 desirable:2 four:1 consists:1 forget:1 whose:2 const:1 γv:13 γt:3 neighbours:2 aut:13 under:7 ously:1 compacts:9 every:3 summarized:1 semibounded:1 basics:1 pinch:1 solution:1 vector:12 degeneracy:1 direct:8 second:7 implemented:2 resol:1 even:3 established:4 specification:1 above:32 new:13 net:5 consisting:1 e2it:1 abstractly:5 here:14 atoms:1 represented:5 affiliated:17 obtained:8 rigorously:1 study:8 approaches:2 pinning:3 suitable:2 settled:1 cancellation:1 schur:1 projection:8 explained:1 replace:2 circumvent:1 unit:2 y2:6 would:3 e1:1 negative:1 noting:1 m1:1 therefore:5 survive:1 preview:1 until:1 γn:18 hahn:3 robbins:1 odinger:10 kλ:3 berlin:2 hold:2 origin:1 must:9 abundance:2 springer:5 ih:2 work:2 theories:1 mt:1 containment:9 example:5 renormalization:1 give:2 indicates:3 want:10 end:3 provide:1 verify:2 pedersen:1 feature:4 how:1 nontrivial:2 answer:1 symposium:1 thermodynamic:1 after:2 modest:1 summarize:1 heidelberg:1 third:1 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0705.1993.txt |@word represent:6 illustrates:1 results:2 existing:1 illustrated:1 edu:1 intricate:1 follow:1 localized:4 calculate:1 graph:4 segments:1 technique:4 presents:1 does:2 those:5 croquette:1 tc:3 indicating:1 very:1 ibrahim:1 refractive:1 experimentally:1 difference:4 enard:4 common:1 tri:1 annihilated:2 presented:2 pinch:1 large:2 discrete:2 detected:1 small:1 eroding:2 neighborhood:1 occurrence:1 hori:1 subpixel:1 fold:2 timescales:1 rigorous:1 further:3 dynamics:7 canonical:1 index:1 nonlinear:4 thickness:1 cell:8 above:5 new:1 increasing:1 method:1 publications:1 coefficient:1 lee:1 respectively:3 component:1 here:2 understanding:2 desired:1 packing:1 sink:1 ratio:2 along:5 change:2 contraction:2 obtained:5 involved:1 study:7 studied:3 allows:1 scatter:2 suggests:1 amount:1 resulting:3 loop:1 formation:8 fourier:1 makes:1 diameter:4 tu:1 spatially:3 projection:1 aps:1 marked:2 scaled:3 rarely:1 plot:3 use:3 indicated:3 would:3 found:1 transactions:1 chaotic:7 camera:1 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