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0705.2165.txt |@word consider:7 chain:5 equalities:1 global:1 results:5 gottschalk:2 proposition:21 generalize:1 consists:1 follow:3 contributions:1 devoted:1 whose:5 preserves:2 inverse:5 re:1 paris:2 graph:1 γq:1 tr:6 finally:2 γn:4 th:3 stable:3 td:63 kθ:8 u2:17 conjecture:1 jensen:1 straightforward:1 very:3 pages:1 compacts:1 trigonometric:3 corollary:1 every:22 stays:1 ui:11 associated:3 linearizability:1 condition:6 exemples:1 conjugating:2 fhd:23 notes:1 t2:1 solution:5 t1:23 large:10 vector:7 small:3 accumulation:1 attracting:1 upper:1 zn:4 des:5 neighborhood:31 zi:2 zd:2 differentials:1 direct:2 past:2 second:1 yoccoz:2 arnold:1 concludes:1 further:1 dynamics:15 situated:1 theory:1 even:1 established:1 tells:1 sud:2 ucher:1 sub:3 invertible:1 sun:6 section:9 uniform:6 birkhoff:4 version:3 gn:7 sur:2 above:2 sup:1 new:1 d1:1 ˆl:2 method:2 filled:1 satisfy:2 compact:45 ergod:1 full:7 simultaneously:1 notions:1 degree:9 respectively:1 gθn:4 component:4 equals:1 desired:1 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0705.2173.txt |@word consider:1 rev:1 results:1 leads:1 proposition:4 entropy:6 row:1 inverse:4 depend:1 γk:4 finally:1 tk:2 th:1 analogous:3 norm:1 brown:1 choice:3 practicality:1 associated:1 condition:2 hamiltonian:1 notes:1 large:1 discrete:3 vector:1 independence:1 approximation:1 zero:1 further:1 substitute:1 canonical:3 even:1 established:2 what:1 nonlinear:2 rate:1 foregoing:1 expressed:5 above:4 ney:1 coefficient:1 here:3 behaviour:1 desired:1 represented:1 equations:1 logarithmic:1 institute:1 study:1 vectors:1 usually:1 uniquely:1 appropriately:1 via:1 inference:1 family:11 hermite:1 merely:1 apply:1 establish:4 linearly:2 derivatives:3 use:1 proceed:2 γk2:1 probabilities:3 positive:3 next:1 linear:3 therefore:3 totality:2 exhaustive:1 type:1 everywhere:2 particular:2 must:2 logarithm:1 none:1 equation:2 work:1 values:1 following:1 nonsingular:1 example:2 proof:3 process:1 states:1 numbers:2 sense:1 information:3 end:1 provide:1 s2:1 write:1 optimal:1 simplicity:1 mat:1 our:3 wiley:1 derived:1 applications:1 representations:1 law:3 dynamical:5 generic:1 sons:1 so:1 representation:9 βk:19 order:1 dx:9 schwartz:4 indeed:1 over:1 course:1 wiener:1 paper:2 london:1 statistical:4 existence:1 jaynes:1 derive:1 decay:1 ln:19 interesting:2 solving:2 forms:1 systems:2 schmidt:1 might:1 correspondence:1 motivated:1 thereby:1 introduce:1 identically:1 finite:5 always:1 brody:2 concave:1 orthonormal:1 l2:3 each:1 side:1 mean:1 ei:1 independent:4 series:2 energy:1 gaussian:9 related:1 inverted:1 society:2 decays:2 measure:6 quantum:4 organised:1 shannon:1 shown:1 matrix:5 solved:1 restricted:1 since:9 squared:1 may:2 posteriori:1 lecture:1 rn:1 math:2 theory:3 admits:2 california:1 york:1 derivation:1 could:2 nonnegative:1 american:1 βl:1 quadratically:6 first:4 xk:4 probability:12 variables:8 hook:1 given:3 necessarily:2 similarly:1 unitarity:1 πi:14 system:7 construct:1 needed:1 assumption:2 statement:1 john:1 continuous:2 x2:1 than:4 coefficients:4 roles:1 require:1 second:1 submitted:2 determined:1 powers:4 manner:1 conjugate:3 need:2 any:7 constructions:1 converges:2 note:6 heisenberg:1 begin:1 altered:1 involving:1 analytically:2 class:3 acknowledges:1 observation:1 surprising:2 average:1 steady:1 points:1 principle:2 exp:7 fact:2 thomas:1 show:3 random:5 relation:2 solutions:1 substituting:2 based:1 2bz:1 parameters:1 only:1 integrable:6 equilibrium:8 legendre:1 goes:1 means:1 express:4 words:1 combinations:1 gen:2 densities:2 arxiv:1 thermal:1 gram:1 including:1 view:1 set:4 exists:1 depends:2 college:1 result:12 ergodicity:1 state:4 µk:12 µj:1 terms:3 extend:1 however:3 vanishing:1 jk:2 prescription:1 space:1 admit:1 expression:1 monograph:1 relevant:1 point:1 dimensional:2 wider:1 respect:6 ei1:1 ei0:1 ei2:1 basis:1 been:1 much:1 ph:1 choose:1 arises:1 families:7 sufficient:1 observe:1 hughston:1 weierstrass:1 present:1 case:5 main:1 exponential:22 contexts:1 defining:1 expanded:1 value:1 applies:2 eik:8 eil:1 sw7:1 ein:1 almost:2 thus:7 equal:1 itself:1 cond:1 cone:1 perhaps:1 belong:1 quant:1 grand:3 physical:2 fairly:1 emphasise:1 upon:3 purpose:1 infinite:3 expand:1 recent:1 mech:1 immaterial:1 nevertheless:1 analysis:1 obviously:1 stating:1 just:2 less:1 moments:10 obtain:2 properties:1 preprint:1 lebesgue:1 density:13 conclude:1 royal:1 thermodynamics:1 other:1 theorem:2 real:1 rules:1 possible:1 moreover:1 appearing:1 follows:4 specific:1 arbitrary:5 mathematical:2 right:1 classical:1 some:2 play:1 polynomial:4 deduce:2 convex:1 provided:1 perverse:1 decision:1 integration:1 providence:1 does:1 assuming:1 demonstrated:1 power:3 dcb:1 expansion:1 approximating:1 normalisation:2 hilbert:1 simpler:1 central:1 freedom:1 distinct:2 introduced:2 consequently:1 into:1 because:1 elementary:1 statistics:4 assumed:1 support:1 there:3 question:1 transform:3 imperial:1 cauchy:1 assumes:1 function:15 form:16 fundamentals:1 but:1 idea:1 hk:4 construction:2 convergence:2 line:1 whether:1 cij:2 smooth:5 liouville:1 uk:1 distribution:8 define:3 called:1 mechanics:2 constant:1 defined:4 cover:1 abstract:1 general:4 exist:1 formulation:1 distributions:15 defines:1 functions:10 nk:2 completeness:1 ingredients:2 whereas:1 generally:1 valid:2 department:1 mathematics:1 concerning:1 hayward:1 stat:1 elements:1 expressible:3 preceding:1 representable:1 polynomials:3 includes:2 variable:1 dense:1 implies:4 faster:3 interval:1 time:1
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0705.2174.txt |@word secondly:1 consider:8 remarkable:1 caused:1 magnetic:13 loff:4 resistance:5 leads:1 ginsburg:1 controversial:1 consists:1 gn:3 denotes:2 layers:12 gˇ:14 calculate:1 description:1 tr:2 tm:1 arisen:1 under:6 tc:14 ingredient:1 fax:1 amplitudes:2 very:3 tends:1 2rb:1 cos2:1 wave:1 orientations:3 dispersions:1 moncton:1 affect:1 difference:3 matrices:4 condition:6 common:1 entire:1 presented:2 transmission:2 turns:3 evc:6 solution:4 large:3 solved:1 vector:2 τˆi:1 small:12 eigenvalues:4 path:1 noted:1 concluded:1 averaged:1 tel:1 specially:1 findings:1 penetrates:5 sin2:1 direct:1 sign:1 second:4 nonhomogeneous:3 bulaevskii:4 odd:6 even:4 established:2 what:1 ˆs:1 appear:1 usadel:4 section:2 while:3 thickness:4 current:26 experiment:3 bernhard:1 above:3 new:2 increasing:9 connected:1 critical:24 contrast:1 temperatures:4 coefficient:4 full:2 κi:3 ibid:3 exchange:20 respectively:3 component:32 equals:1 here:14 them:2 ansatz:1 sinh:4 directions:1 based:1 along:2 strong:4 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0705.2175.txt |@word represent:1 katz:3 consider:1 magnetic:3 results:2 scalar:1 milc:1 liao:1 heller:3 inverse:1 calculate:2 quarkonium:1 tr:1 th:1 under:1 tr0:1 tc:18 string:8 very:12 mps:1 issue:1 t4:1 nσ3:2 t2:2 large:7 solved:1 small:3 equation:5 trw:1 jhep:3 smaller:1 sturm:1 strickland:1 renormalized:3 consistent:1 mh:1 past:1 zero:3 arnold:1 further:2 dynamics:4 mπ:3 even:4 what:1 errors:1 plays:1 christ:1 brackets:1 3p:2 expressed:1 agrees:1 above:5 new:2 3g:2 consisting:1 temperatures:6 quenched:3 full:1 led:1 ibid:1 kajantie:1 respectively:1 spacing:5 here:2 bi:1 mev:10 ansatz:2 separation:2 patk:2 change:3 obtained:2 pressure:3 conformal:1 study:5 studied:1 commonly:1 resulting:2 usually:1 makes:1 lren:2 petersson:1 gluons:2 extrapolations:1 gluon:8 1st:5 szabo:2 meson:2 establish:2 linearly:2 flavors:1 use:2 takes:2 would:2 remains:1 give:1 suppl:3 nucl:9 therefore:1 qcd:23 more:5 started:1 conclusions:1 shaposhnikov:1 validity:1 tested:1 normalized:2 cases:1 easiest:1 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0705.2176.txt |@word represent:1 abundances:2 consider:2 remarkable:1 particular:2 results:3 four:2 scalar:1 mp2:1 comments:1 depend:1 equivalence:1 tr:2 tq:1 environment:1 quasi:2 okada:1 th:2 stable:7 very:6 choice:1 every:1 affect:1 little:4 switches:1 t2:1 vector:1 small:1 entropy:3 upper:3 smaller:2 braneworld:13 lightest:1 approximation:1 carefully:1 rate:5 further:2 sterile:3 tev:3 even:4 established:1 what:1 reheating:2 acknowledgments:1 mamaev:3 led:1 respectively:1 here:3 asymmetry:1 mev:2 jcap:2 strong:1 obtained:3 noticeable:2 larger:1 allows:1 hbc:1 mx:12 products:2 ellwanger:1 usually:2 studi:1 spacetime:1 exited:1 useful:1 extra:6 namely:1 langlois:1 total:1 circumvent:1 planck:2 freese:1 would:13 sake:1 predictions:1 nucl:1 m3:4 expanding:3 taken:4 robertson:1 theoretical:1 today:6 more:6 flat:1 liddle:1 started:1 becomes:1 under:1 observations:1 varying:2 known:2 hold:1 must:2 abundance:3 account:3 equation:4 work:1 modified:1 theories:1 values:1 mp:3 universe:22 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0705.2178.txt |@word gw:3 partial:2 consider:12 induces:3 global:3 results:1 ry:1 gg:14 roy:4 ge:4 proposition:14 restated:1 edu:4 go:1 sci:3 expressions:4 research:1 imbedding:1 gi:1 gr:6 devoted:2 whose:9 inverse:1 wc:2 integral:5 similar:2 graph:6 tt:3 tr:1 tq:8 ıa:4 finally:9 tj:4 spain:3 under:2 analogous:2 include:1 aut:1 ın:6 case:7 kπ:1 g3:1 straightforward:1 very:1 springer:1 geometrical:9 every:9 condition:15 look:2 leads:1 hamiltonian:25 presumably:1 t2:1 upc:6 pullback:2 discrete:1 vector:19 d3:2 uller:1 indices:1 der:1 lˆ:2 fff:2 det:3 nonautonomous:1 direct:1 integrators:1 second:8 cost:3 perspective:1 zz:3 incidentally:1 dynamics:14 zw:7 fibres:1 rrr:2 dψ1:1 canonical:13 nonlinear:1 appear:4 invertible:1 giving:4 ortega:1 section:28 mathematical:1 pontryagin:14 consistently:1 version:4 above:3 new:9 method:6 satisfy:2 palmer:1 simultaneously:1 respectively:9 concepts:1 component:1 unther:1 bi:1 ggg:4 tangent:7 pub:1 address:1 directions:1 consideration:1 along:2 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0705.2179.txt |@word scm:1 represent:1 homomorphism:8 consider:7 edi:1 results:3 proposition:11 ajk:1 ga:1 consists:1 sci:1 gm:7 gi:5 whose:1 depend:6 graph:8 tt:8 equivalence:5 acting:3 removal:10 tn:2 quasi:2 tm:1 tj:1 tk:5 under:6 tb:3 tc:2 nullset:2 ta:2 case:3 g3:4 g2:9 g1:10 very:1 conditions:2 choice:3 corollary:1 isomorphism:6 every:34 rn:1 condition:1 partitions:5 38th:1 t2:1 nostrand:1 t1:2 large:2 independence:1 small:2 maharam:2 smaller:1 10n:1 measurable:49 zc:2 approximation:5 measurably:1 second:2 odl:4 pass:1 ya2:1 zs:1 even:1 nonprincipal:1 sub:8 trivial:1 section:7 celebrated:1 uniform:34 cell:4 version:4 χak:1 above:3 new:3 bn:2 satisfy:1 required:1 degree:3 equals:1 here:1 atoms:1 objects:1 represented:3 box:5 schacht:2 convert:1 property:9 institute:1 study:1 studied:1 contradiction:3 later:1 resulting:2 akn:2 graphons:1 permutation:7 action:10 projection:5 classification:1 limj:1 boolean:7 liml:2 org:1 orderings:1 total:2 subalgebras:3 use:4 additive:2 takes:5 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0705.2181.txt |@word sci:2 lack:1 desirable:2 fabricated:1 existing:1 leads:1 eds:3 ga:13 partial:2 abundant:1 particles:6 hayden:1 iii:1 compensate:4 those:1 under:3 cm2:1 sent:1 downstream:1 song:2 very:1 amorphous:1 powders:4 electron:3 fan:1 upstream:1 vls:1 condition:2 cool:2 severely:1 level:2 transmission:1 guo:1 large:4 small:1 cap:1 tem:7 monodisperse:1 past:1 likely:1 compensates:1 further:3 chem:1 targets:1 smet:1 nano:3 oxide:3 uniform:10 volatile:1 above:1 new:1 temperatures:2 simultaneously:1 lee:3 respectively:1 spacing:3 atoms:4 deposition:4 cylindrical:1 focused:1 separation:1 alone:1 along:1 change:1 obtained:3 studied:2 reports:1 leaving:1 resulting:3 smoke:2 chang:1 suitable:1 makes:1 magnifications:1 diameter:12 via:2 semiconductors:1 highly:1 visible:1 wang:3 gaas:79 use:1 takes:1 remains:1 lemberger:1 combes:1 few:3 magnification:1 approach:1 attribute:1 films:1 more:1 lowering:1 glas:1 emission:1 controlling:1 investigation:1 varying:1 known:2 producing:1 hour:1 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0705.2182.txt |@word represent:1 sci:1 consider:3 caused:1 results:10 przytycki:1 rˆ:5 commute:6 edu:1 analiz:1 inverse:1 tn:1 finally:1 tm:1 analogous:2 presentation:1 γf:13 norm:1 p2:2 translations:2 conditions:1 corollary:3 every:3 entries:2 school:1 riemann:1 did:1 die:1 michael:5 solution:1 solved:2 scalings:1 quick:1 noted:1 des:1 natur:1 dynamics:1 theory:2 putting:1 eremenko:2 colonel:1 section:8 abo:1 version:2 sur:2 above:4 sup:1 new:1 method:3 satisfy:1 degree:12 prescribe:1 equals:2 here:4 γx:2 address:2 equations:2 remark:1 studied:1 prior:1 resulting:1 masuda:5 pick:1 bob:1 deg:30 involves:1 uniquely:4 formulated:1 useful:1 mail:2 classification:1 julia:12 apply:1 use:1 additive:2 proceed:1 would:1 prove:3 distinct:1 positive:1 stated:1 next:3 few:1 more:2 fractions:1 permutations:1 ecole:1 composite:1 becomes:1 corrected:1 particular:5 cases:2 must:1 rotational:2 equation:6 work:1 remain:1 values:1 following:4 trans:3 root:1 proof:10 f0:7 f1:23 f2:22 give:1 beals:2 sitzungsber:1 sphere:1 zwischen:1 arise:1 phrase:1 conversely:2 occur:2 rather:1 fpj:2 write:2 how:1 nontrivial:1 acta:1 fp:2 fq:12 algebra:1 may:1 mapping:1 fe:1 coming:2 date:1 fi:9 fj:2 types:1 element:1 sj:3 so:14 asserts:1 coprime:2 order:2 over:8 soc:7 years:1 equality:2 paper:1 satisfies:11 bunn:1 its:1 thank:1 maps:1 interesting:1 fix:1 writing:3 degrees:2 ours:1 main:1 might:2 correspondence:1 combination:1 they:3 now:5 term:1 several:2 alex:1 profound:1 always:1 university:1 possibilities:3 each:1 found:2 ifi:1 successively:1 directly:1 map:1 list:2 reduce:1 related:1 challenges:1 impossible:1 our:5 special:2 out:1 canada:1 shown:1 xq:1 analytique:1 restricted:2 since:7 crucial:1 research:1 equate:1 ra:1 rational:18 induced:1 induction:2 math:14 shows:1 mullen:8 linear:9 possibility:1 quite:1 complicated:1 put:5 inductive:1 derivation:1 phrases:1 βx:1 length:1 1x:1 hence:3 first:3 xk:2 already:1 xn:1 features:1 symmetry:2 xm:1 conjugacy:1 number:2 xe:9 relations:4 another:1 xs:12 xp:15 precisely:4 summarize:1 equating:2 introduction:1 leading:5 least:1 their:1 appl:1 fn:3 calculations:2 gives:1 commutativity:1 relationship:1 einem:1 akad:1 park:7 alan:1 somewhat:1 authors:2 than:2 coefficients:17 showed:2 princeton:1 divisible:1 require:2 iteration:4 see:3 determined:3 contrary:1 fˆ:3 were:3 denominators:2 ann:2 modern:1 manner:1 need:1 any:9 lie:1 generalizes:2 mappings:2 ideas:1 note:3 instance:2 finding:1 korean:1 mit:1 5b6:1 though:1 denominator:1 wells:9 most:2 involving:2 connected:1 automorphism:1 iterate:2 pages:1 observation:2 consequences:1 considered:3 clear:1 later:1 drive:2 kl:1 rationnelles:1 points:1 αx:35 ηf2:2 fact:2 nonuniqueness:1 solutions:4 decompositions:1 substituting:1 analogue:1 find:2 explain:1 fenn:1 emoire:1 lemma:6 only:14 various:1 do:1 his:2 means:1 express:1 yielded:1 congruent:1 words:2 indecomposables:1 prime:2 fields:6 arxiv:1 fixes:1 common:3 levin:1 fixed:5 wrote:2 coefficient:1 set:7 modulo:1 sth:1 namely:2 result:10 subject:1 αs:5 satisfying:1 commutation:1 αv:2 fatou:3 subsequent:1 ritt:8 αe:6 closed:2 αf:2 αi:2 αm:1 αn:3 terms:10 hypothesis:3 key:2 amer:6 both:2 enables:1 la:1 equal:1 f2p:1 und:1 expression:1 otherwise:2 comment:1 point:3 ca:1 cf:1 pole:1 xi:3 polynomial:4 moreover:3 considering:1 pp:1 computing:1 much:1 plainly:2 pi:1 direction:1 zieve:7 nonconstant:1 bull:1 those:3 case:10 chebychev:2 will:2 rutgers:1 suppose:6 carleton:2 les:1 thus:6 encountered:1 ii:1 different:3 same:8 unity:1 complex:1 finite:8 composition:1 used:2 trivially:1 funktionen:1 nj:1 hand:1 identity:3 pures:1 center:1 uαn:1 thm:1 solve:5 sets:1 tional:1 comprise:2 subgroup:1 less:1 composing:1 via:1 questions:1 multiples:1 previous:2 preprint:1 seems:1 except:1 combine:1 theorem:13 identical:2 around:1 subfield:1 february:1 γf0:1 know:1 using:4 unique:2 mod:3 desire:1 like:1 δx:2 patrick:1 communications:1 yields:1 either:3 arbitrary:6 multiplicative:1 become:1 therein:1 satisfactory:1 acad:3 methods:2 some:8 algebraically:2 deduce:1 examples:1 polynom:1 nonzero:2 permutable:1 investigations:1 comments:1 when:5 decomposition:1 proc:3 refer:1 power:1 linearen:2 translated:1 binomial:1 simpler:1 integers:1 om:3 extension:2 numerator:1 whence:1 primitive:1 follows:12 into:2 functional:5 lies:1 references:2 determine:3 substitutions:1 leningrad:1 statistics:1 there:8 long:1 quadratic:1 sections:1 simplifications:1 but:7 true:2 he:3 k1s:1 made:1 applying:1 characteristic:6 beardon:1 up:1 wiss:1 complications:1 problem:5 similar:1 linears:1 uber:3 proved:5 af:3 ai:1 likewise:1 abstract:1 general:1 char:4 single:1 relates:1 commuting:6 ni:1 functions:20 no:3 galois:1 generally:1 ng:1 field:8 other:4 papers:2 mathematics:2 er:2 nt:1 elements:7 polynomials:25 includes:1 polynome:2 implies:2 assume:3 baker:1 ottawa:1 equivalently:2 once:1
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0705.2183.txt |@word fredenhagen:1 abundances:3 partial:2 consider:1 rev:8 varying:1 γn:2 results:12 leads:3 mild:3 entropy:2 cooperative:1 edu:1 consists:2 sci:1 primes:1 denotes:1 contributions:5 inverse:4 depend:1 i2:1 corrections:3 properly:1 quasi:6 those:2 th:1 under:1 mα:2 include:1 ingredient:1 applied:1 straightforward:2 very:1 creminelli:1 implicitly:1 raffelt:1 every:1 figs:1 resonant:17 affect:1 difference:3 tsukuba:1 induced:1 losada:2 rh:38 erratum:1 list:1 eve:2 viable:1 large:2 manifestly:1 weiler:1 shindou:2 washout:1 degeneracy:2 upper:2 employing:1 oscillation:2 zk:2 consistent:1 trodden:1 estimates:1 cancellations:1 approximation:10 go:1 rate:3 value:12 further:1 dynamics:4 implemented:1 takanishi:1 tev:3 wmap:1 even:2 what:6 representative:1 section:3 senjanovic:1 reheating:4 annals:3 morozumi:1 goes:1 values:1 learned:1 method:1 nasri:1 full:1 ibid:1 respectively:2 underwood:2 here:2 8g:2 asymmetry:105 jcap:8 relaxation:3 path:1 along:1 strong:5 equations:17 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0705.2184.txt |@word homomorphism:9 four:2 fortiori:1 transversally:2 consists:3 sch:2 whose:7 calculate:1 under:9 spec:1 alternating:1 conjecture:2 every:5 vastly:1 solution:1 vector:106 degeneracy:3 direct:22 second:18 even:20 kum:1 above:39 basset:1 new:3 increasing:1 consisting:3 takemoto:2 aten:1 never:2 equals:5 here:6 quite:3 contraction:10 obtained:23 study:9 ueber:1 suitable:4 schur:16 projection:8 classification:2 explained:2 replace:1 brought:1 sloane:1 total:5 univ:3 9t:1 kobayashi:1 would:3 bundles:83 negative:2 call:5 therefore:13 type:11 clearly:2 berlin:1 loss:3 must:1 springer:3 quartic:1 geometry:12 ms:5 exceptions:1 example:2 il:2 indicated:1 give:5 preserving:1 friedr:1 want:9 end:3 verify:1 travel:1 hom:28 feature:1 how:7 nontrivial:1 answer:1 nombre:1 replacing:1 after:5 cubic:45 types:1 third:5 schneider:1 chern:17 order:6 over:3 vary:1 satisfied:3 london:1 japan:2 satisfies:3 before:2 noordhoff:1 sheaf:28 1dimensional:1 easier:1 maximal:5 them:7 they:2 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0705.2185.txt |@word consider:4 washed:2 results:2 leads:1 gf:2 scalar:33 entropy:4 comments:1 follow:1 amplified:2 successfull:2 amplification:3 depend:1 albrecht:1 quasi:1 kη:1 present:7 γf:3 applied:1 g2:7 very:2 implicitly:1 affect:1 bassett:2 presented:1 corasaniti:1 nucl:1 solution:2 large:17 solid:6 convenience:1 governing:1 unexpected:1 prediction:1 approximation:2 second:4 value:2 dynamics:1 linear:3 blue:1 what:1 rate:4 vφφ:3 section:7 xφ:2 uniform:1 henceforth:1 reheating:7 3h:19 above:3 contrast:1 coefficient:1 lee:1 whose:1 respectively:3 component:1 here:6 behaviour:1 explore:1 free:1 address:3 based:1 along:1 equations:11 appears:1 change:8 obtained:1 wesley:1 study:3 larger:2 fabrizio:1 products:2 studi:1 suitable:1 changes:2 via:6 useful:3 scales:2 explained:1 rφ:1 sizeable:1 total:3 univ:1 wise:1 derivatives:1 use:2 covariant:1 super:1 negative:1 mollerach:1 noting:1 therefore:1 m2:3 taken:1 robertson:1 khlebnikov:1 panel:7 ψf:7 until:1 flat:1 liddle:2 formally:1 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0705.2186.txt |@word concept:1 homomorphism:3 consider:3 proposition:13 follow:2 whose:1 ty:2 under:2 presentation:1 very:1 corollary:18 every:4 exact:3 condition:22 dim:1 did:1 involution:7 vector:1 nagata:1 upper:1 says:1 zero:1 further:4 canonical:8 residue:1 what:1 plays:1 invertible:9 giving:1 section:5 above:8 respectively:1 equations:1 obtained:1 remark:17 technical:2 study:2 studies:1 via:2 useful:1 projection:2 put:1 apply:1 unit:2 use:3 would:4 prove:11 positive:1 contains:1 next:3 comparing:1 m1:1 therefore:5 m2:4 more:2 duality:2 suggestions:1 particular:2 known:1 huneke:12 isomorphism:9 recall:1 setup:8 mn:1 mi:2 mt:11 ms:1 following:19 my:1 example:2 proof:18 claim:2 recover:1 states:1 yip:2 want:1 arise:1 awkward:1 holds:2 write:5 how:5 answer:5 fp:1 map:21 algebra:6 may:1 mapping:7 consequence:3 multiplication:4 summarize:1 sx:2 natural:7 st:2 so:2 order:4 operations:1 hom:16 developed:1 over:3 vary:1 satisfied:1 mathematicians:1 paper:7 through:1 satisfies:10 its:1 before:1 thank:1 maps:5 interesting:1 fix:1 choose:1 main:4 maximal:1 introduce:1 number:2 they:1 now:6 2t:1 xz:1 gets:1 equality:2 verifying:1 always:1 university:1 identified:1 each:2 associative:1 mean:3 adjointness:1 ei:2 ej:1 series:2 eg:1 related:2 combining:1 our:2 ring:54 special:1 really:1 space:1 restricted:1 furthermore:1 since:33 induces:2 denotes:2 rf:3 denoted:1 induced:4 math:3 shows:1 hull:1 standard:1 advisor:1 ask:2 definition:8 length:1 hence:11 onto:10 first:1 xj:1 xi:18 xn:3 primary:3 xd:3 juncture:1 xy:2 xp:1 subring:1 given:3 introduction:1 system:5 construct:2 their:3 assumption:2 observations:1 statement:1 gives:11 commutativity:3 isomorphic:1 proving:4 iyengar:1 short:3 x1:8 completes:1 intrinsically:1 finitely:1 require:1 generality:1 craig:1 cohen:4 say:3 need:3 seen:3 element:2 tells:1 minimally:1 min:9 self:18 note:4 ideal:26 idealization:1 forces:3 finding:2 most:3 regular:6 remarks:1 2ty:1 clear:1 stronger:1 part:2 principle:1 notion:2 fact:2 precise:2 show:4 ki:1 keywords:1 find:1 parameters:5 aω:3 guidance:1 lemma:14 only:9 going:2 factor:1 local:34 oct:1 do:1 his:2 notation:15 get:7 da:6 closely:2 regarding:1 arxiv:1 investigate:1 finishing:1 set:2 modulo:2 constructing:1 exists:2 module:13 see:16 discussions:1 close:3 satisfying:4 bruns:1 rings:9 enough:4 conditions:1 extend:1 however:1 hypothesis:6 key:1 ker:63 σj:6 σi:7 last:2 σn:5 many:1 σa:1 conclusions:1 embedding:1 unj:2 σt:1 characterization:1 dimensional:2 simply:1 sequences:1 respect:4 throughout:1 ad:2 described:1 commutative:3 basis:1 addition:1 shortening:1 attaching:1 ai:5 reduction:1 interest:1 define:8 surjective:7 referee:1 quantities:1 colength:13 observe:1 case:7 u1j:2 value:1 suppose:2 σxi:1 taking:2 yi:12 played:1 almost:1 vj:7 thus:22 encouragement:1 ii:12 characterize:1 ij:2 dual:18 claimed:1 rid:2 noetherian:2 teter:21 macaulay:3 lengths:1 make:2 same:5 any:6 srikanth:1 φf:3 finite:2 status:1 numerical:1 infinite:1 artinian:23 lower:2 acknowledgement:1 acknowledge:1 well:1 without:2 machinery:1 dimension:2 just:1 resp:2 valuable:1 questions:1 using:3 letting:1 field:1 improvement:1 interested:1 versa:1 theorem:46 adj:5 isomorphisms:2 showing:1 possible:1 press:1 immediately:1 advanced:1 loss:1 like:4 identifying:1 follows:14 yields:2 either:4 multiplicative:1 sequence:5 some:7 homr:8 homs:1 ideals:6 choosing:1 moreover:7 proofs:1 happens:1 lead:1 does:4 minimal:1 refer:1 equivalent:6 bi:2 componentwise:1 approximating:1 properties:1 injective:3 artin:14 ui1:1 extension:1 a3:2 important:1 restrict:1 soc:12 cambridge:2 inclusion:5 image:2 bound:2 references:1 lastly:1 additional:1 support:1 there:15 question:9 socle:2 specifically:1 restricts:1 call:1 form:1 but:4 pacific:1 true:1 october:1 compute:1 whether:1 multiplicity:1 ωr:1 bounds:1 us:4 record:1 problem:1 ua:1 called:1 ac:1 ab:12 proved:1 b2:3 defined:8 abstract:1 uij:5 uim:1 denote:2 proves:1 au:1 ni:2 faithful:3 nn:1 no:1 when:5 application:1 other:1 role:2 tij:2 retract:4 mathematics:1 conclusion:1 elements:4 herzog:1 a1:2 generated:8 a2:12 structure:4 implies:5 vice:1 assume:7 factors:1 modules:2 gorenstein:42 equivalently:2 n1:1
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0705.2187.txt |@word limited:1 consider:2 crucial:1 magnetic:16 bonderson:2 results:1 existing:1 leads:1 francesco:1 spaced:1 localized:2 whose:1 simon:2 depend:4 calculate:1 rek:1 charge:8 those:2 th:1 under:1 include:1 norm:2 alternating:1 very:1 rise:1 blockade:10 electron:9 jacob:1 experimentally:1 condition:2 groups:8 level:4 large:1 discrete:1 science:2 indices:1 eigenvalues:1 degeneracy:1 periodicity:3 zk:4 repetitive:1 zero:4 cost:2 cft:4 odd:4 even:5 index:1 adds:1 appear:2 sum:3 uniform:1 current:4 experiment:1 above:1 fractional:1 new:1 contributes:1 filled:6 satisfy:1 condensed:1 spacing:15 here:2 identifications:1 operating:1 free:3 mes:1 along:4 strong:2 observing:1 change:5 obtained:3 property:1 institute:1 study:2 changed:1 periodic:1 products:1 action:1 changes:1 halperin:1 via:1 stern:6 total:4 virasoro:1 use:1 takes:1 would:1 remains:1 positive:2 weizmann:1 quasiparticles:21 hilbert:1 few:1 nucl:5 therefore:8 ψl:1 m2:3 themselves:1 theoretical:1 reflects:1 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0705.2190.txt |@word abazov:2 magnetic:5 four:4 poorly:1 inclusively:3 whose:3 violate:3 γi:2 under:7 iτ2:1 affect:3 reiterating:1 convenience:1 vector:1 jhep:2 10m:3 consistent:6 estimates:1 direct:4 approximation:4 second:7 sterile:5 neutralino:6 konoplich:1 interactions:3 above:21 new:26 net:1 contributes:3 coefficient:4 simultaneously:3 here:27 deposition:1 active:23 quite:5 interpret:1 obtained:15 study:2 ignoring:1 stressed:1 changes:2 highly:6 visible:3 neutrino:168 total:11 would:9 negative:1 noting:1 call:1 therefore:12 type:2 fractions:15 hahn:1 composite:1 γl:2 γ2w:1 aligned:2 must:12 me:3 md:32 mm:3 ml:3 fµν:4 mi:38 mh:21 mj:2 mw:9 mr:23 my:2 example:4 mz:2 wang:1 give:1 relativistic:8 discovery:1 weinberg:1 involve:2 caution:1 reviewing:1 degenerate:3 absolute:1 end:2 provide:1 feature:3 how:3 chargino:2 actuality:1 replacing:1 after:7 meaningful:1 parallel:1 types:1 third:2 summing:4 amit:1 order:17 interpreting:1 over:32 vary:1 experimentally:1 diagonalized:1 fiz:2 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0705.2191.txt |@word δaµ:3 roj:1 4ab:1 abρ:6 mnp:1 ηab:7 gf:1 iǫ:1 2g:5 gc:1 ga:2 d4:2 d5:1 d2:8 d3:2 bº:1 d1:3 lf:4 fβγ:1 q3:1 q2:2 q4:1 aρ:14 tr:6 iψ:3 add:7 µn:3 c5:2 th:4 h3:3 δχk:1 γa:5 aµν:12 iθ:2 kφ:2 iθσ:2 dd:2 iε:2 da:4 aα:1 vα:4 aβ:1 dt:1 aν:34 spre:1 bρ:3 qs:6 δx:3 δv:1 aνµ:3 arxiv:1 δr:12 δs:5 δp:2 δl:15 δm:3 2a:2 δf:1 δd:5 δb:3 δc:8 δa:4 ηac:1 ef:15 ea:1 eb:2 dº:1 γa1:4 dµ:13 pµs:4 xψ:2 abc:12 lef:3 q¹:4 ha:3 qº:2 2f:4 symmetric:1 δaaµ:4 εq1:4 γabc:8 αk:1 3g:1 abµ:3 mnk:2 q1:21 q2b:1 µνa:2 ba:1 bb:1 bc:13 γab:1 8a:1 gº:1 bv:19 δab:1 cγ:1 cβ:2 cα:2 cη:1 z2:26 antisymmetric:1 cº:1 qm:4 δqn:1 a3:1 2i:7 und:4 a5:6 2iσ:1 a4:2 iλσ:2 pre:2 v1:4 ηc:1 ηb:1 cl:22 cc:5 cb:1 ca:6 ac:2 xx:2 ab:7 ps:1 hep:1 pb:1 pa:3 bcd:1 ccc:2 ψg:1 acν:4 2iε:2 θa:1 2ǫf:1 aµ:95 qsu:2 c3:2 c1:2 aº:2 δcb:1 vγn:1 qb:16 dρa:1 fµν:11 φq1:1 ǫm:1 pº:3 ǫq:2 dν:3 fαβ:3 aa:5 f1:1 f2:2 f3:1 f4:1 f5:1 slin:2 iº:1 susy:6 δgauge:1 dk:5 qα:9 φq:1 qγ:1 qβ:3 γµn:1 εq:6 aaµ:14 φf:2 εd:1 εg:2 pqc:1 sadd:2 may:1 db:3 a1:6 vαk:2 fb:4 a2:7 vαn:3 θθf:2 γbcd:1 qω:1 xµ:4 sy:9 ss:11 abcde:1 su:7 dρ:1 so:5 sn:2 iaµ:1 χn:3 ib:5 4a:2
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0705.2192.txt |@word limited:2 companions:2 consider:2 remarkable:2 illustrates:1 young:3 czerny:1 magnetic:2 luminosities:4 results:18 produce:1 illustrated:1 selection:2 controversial:1 talks:3 disk:13 contributions:2 hole:7 issues:1 compact:1 referring:1 seyferts:5 producing:1 bulge:1 acting:1 opportunities:1 environment:1 tail:1 does:1 indicate:6 present:2 under:1 discovering:1 include:3 ingredient:2 pay:1 yr:1 lack:4 relation:2 mpc:1 hblrs:2 far:7 rise:1 multi:3 iii:2 geometrical:2 puzzles:1 electron:1 ultraviolet:1 interpreting:1 decide:1 summarized:3 locked:1 emphasized:1 1s:1 categories:1 cool:1 entire:2 school:1 moderate:2 clouds:1 presented:24 turns:1 having:2 list:2 obscuration:2 occurs:1 large:16 detected:3 demonstrated:1 small:10 study:6 referred:1 humps:1 noted:6 xafs:3 smaller:3 tel:2 findings:1 thin:2 consistent:6 estimates:5 3c:1 literature:1 jump:1 go:1 rate:5 constantin:1 timescales:1 displays:1 changed:1 notwithstanding:1 estimated:1 observatories:1 mason:1 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0705.2193.txt |@word convolute:2 logarithms:1 illustrates:1 zmin:2 global:1 focus:1 four:1 rapid:1 generalize:1 grateful:1 parameterization:1 consists:1 expressions:3 golec:5 dα:2 poorly:1 kowalski:1 certainly:1 ac02:1 quasi:3 program:2 those:1 th:1 include:3 amplitudes:2 presently:1 very:6 results:8 bjorken:3 summarized:1 difference:2 exact:2 condition:1 disconnected:1 perceived:1 level:1 solution:5 large:5 solved:1 small:16 dis:1 measuring:1 smaller:3 eλy:2 zk:1 approximation:13 go:1 imply:4 perspective:1 zt:8 estimated:1 substitute:1 even:3 will:2 nonlinear:1 appear:1 lublinsky:2 section:10 analogously:2 expressed:1 above:2 new:1 contributes:1 acknowledgments:1 satisfy:1 completion:1 wiedemann:2 respectively:1 here:3 understanding:1 q2:5 separation:1 directions:1 ratio:1 along:1 quite:1 equations:1 change:1 goncalves:1 great:2 incoming:1 numerator:1 transition:1 vectors:1 approaches:1 suggests:1 amount:5 tuchin:7 products:2 postponed:1 involves:2 plotted:1 enberg:1 useful:1 jager:1 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0705.2200.txt |@word ambiguities:1 ijklmn:2 partial:2 consider:5 springer:3 similarity:1 global:6 focus:2 four:7 scalar:1 commute:2 computation:3 remarkably:1 gl:5 contributions:1 cases:1 issues:2 forget:1 λij:2 inverse:1 aug:1 nacional:1 equivalence:1 tr:12 finally:7 program:2 those:7 th:4 under:5 include:1 worth:1 ingredient:2 applied:2 provides:4 straightforward:1 orthogonal:1 very:2 differently:1 geometrical:5 wishes:2 redefinition:1 associated:5 difference:2 matrices:4 condition:7 notations:1 nonrenormalizable:1 riemann:5 cmi:1 level:7 turns:3 notes:1 solution:9 sef:2 integrated:3 travels:1 vector:2 indices:23 relation:3 configurations:1 zl:1 strongly:1 zj:1 dealing:5 consistent:11 estimates:1 direct:2 zb:1 zc:1 approximation:1 second:2 displays:1 notwithstanding:1 further:7 dynamics:2 linear:11 even:1 established:3 what:3 abc:4 plays:3 appear:1 invertible:4 renormalization:16 section:9 associate:1 current:1 consistently:1 annals:1 above:4 basic:1 new:3 method:4 contrast:1 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0705.2201.txt |@word magnetically:2 represent:2 monte:1 extrapolated:14 gs:12 consider:2 rev:24 magnetic:6 desirable:1 results:30 four:1 ginzburg:5 mila:1 displaying:1 localized:1 row:4 particles:1 certainly:2 terms:3 calculate:1 description:1 syntheses:1 interactions:1 containing:1 finally:1 program:1 indicate:1 those:5 under:3 stabilizing:1 differing:1 include:1 indicating:1 case:2 unfrustrated:1 preserved:1 returning:1 very:11 springer:3 lro:4 wave:2 orientations:1 lecture:3 experimentally:1 difference:1 exact:3 leads:1 school:2 internally:1 hamiltonian:2 turns:1 notes:3 papinutto:1 applicable:1 fewer:1 large:1 discrete:1 small:5 gauge:1 9pl:1 configurations:3 favoured:1 application:1 smaller:1 disordered:3 haas:1 consistent:4 prediction:1 sign:1 approximation:1 second:16 street:1 further:7 qmc:4 carlo:1 situated:1 scientific:1 even:1 index:2 what:3 adds:2 sj2:1 axes:1 while:3 expressed:1 current:1 version:2 ihle:1 above:8 fractional:1 deal:1 new:4 method:8 contrast:3 3d:1 body:2 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0705.2203.txt |@word concept:2 homomorphism:2 gr:4 pointing:2 skip:1 desirable:1 results:3 four:8 eds:1 scalar:8 proposition:1 go:1 follow:1 expressions:2 prop:1 cases:1 consider:4 compact:1 whose:2 preserves:1 measurable:2 tx:1 re:1 δcb:1 z1t:2 equivalence:4 contained:2 quadruple:1 finally:5 asking:1 device:1 manifolds:3 under:11 γb:1 analogous:1 must:2 worth:1 norm:3 case:1 updated:1 already:1 straightforward:1 orthogonal:1 institute:1 desired:1 account:1 splitting:3 corollary:3 isomorphism:1 every:3 nesting:1 microlocal:7 affect:1 difference:6 matrices:5 encounter:1 school:1 presented:2 issue:1 solution:3 convenience:3 vector:7 epstein:1 supersymmetrically:1 indices:3 referred:2 twodimensional:1 proof:6 ps:2 concluded:1 application:1 work:3 findings:1 concise:1 estimates:2 direct:3 sign:1 second:6 evaluated:1 remainder:2 rigorous:3 recursions:1 theories:1 canonical:2 even:1 index:3 what:5 nonlinear:1 essence:1 appear:1 tetrad:1 section:15 worldline:9 brief:2 expressed:2 version:3 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0705.2204.txt |@word snia:1 monte:1 concept:1 gs:3 consider:7 chain:1 limited:1 global:3 results:1 leads:2 roy:2 scalar:25 edu:1 constants:1 follow:1 contributions:5 causes:1 optical:1 inverse:5 calculate:2 tw:1 tu:1 finally:1 critical:1 those:1 lewis:2 tegmark:1 ionizing:1 updated:1 roc:1 mpc:3 zhang:3 mpl:1 ostriker:3 geometrical:2 every:1 figs:2 nelson:2 condition:3 b302:1 level:1 goobar:1 guo:1 cmb:12 t0:2 large:8 frozen:1 small:4 gauge:1 markov:1 challenge:1 degeneracy:1 upper:1 quicker:1 force:2 specially:1 chep:1 riess:1 trodden:1 peccei:1 winds:1 zero:2 dynamics:9 carlo:1 wmap:4 blue:1 index:1 what:1 croft:1 fact:2 sum:3 3p:1 expressed:1 find:1 current:3 zre:1 3h:1 ˆi:2 ˆj:2 acknowledgments:1 ˆn:1 respectively:2 even:2 component:2 here:5 bi:1 ranges:1 explore:1 slow:1 illustration:1 jcap:3 challinor:1 strong:2 equations:3 obtained:1 receive:1 larger:10 reason:1 graph:2 fourier:1 studies:1 taipei:1 useful:2 extra:1 explained:1 barlow:1 replace:1 apj:1 apply:1 neutrino:21 total:5 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0705.2205.txt |@word aided:1 represent:5 partial:2 consider:10 pointing:2 maximum:1 secondorder:1 child:3 dynamic:5 results:6 four:1 mnk:3 computation:3 fairness:1 consists:1 follow:1 oldest:2 gk:4 reasoning:10 gi:3 3m:1 compact:9 whose:9 21st:2 chain:1 aug:1 paris:1 segments:2 deterministic:44 contained:2 send:1 created:3 languages:9 finally:3 those:2 th:1 under:3 siblings:12 nodes:57 necessary:1 alternating:10 applied:15 kiel:1 attribution:1 g1:4 very:1 rem:4 connects:1 ullman:1 sons:21 every:101 formula:2 application:1 winning:1 associated:2 condition:54 cnet:1 entire:2 17th:1 exponential:7 solves:1 made:1 licenses:1 12th:1 notes:9 july:4 solution:4 fewer:3 occurs:2 large:1 discrete:2 avoiding:2 small:2 refer:2 alfaro:1 20th:1 upper:10 smaller:14 29th:2 appearance:2 streett:68 horn:1 translating:1 elegant:1 second:6 design:1 7th:1 further:1 emptiness:5 odd:1 multiplier:3 linear:1 even:8 index:25 what:1 stands:3 section:4 emerson:1 children:8 current:4 waiting:1 version:3 3n:2 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0705.2206.txt |@word replacing:1 nψ:3 concept:2 consider:27 chain:1 secondly:3 squared:2 equalities:1 commun:1 results:2 pasting:1 existing:1 four:10 petrovi:1 proposition:1 l12:2 computation:3 hyperboloid:10 follow:3 zeitlin:1 hψ:1 hv2:4 compact:6 whose:6 certainly:9 hold:14 number:3 patches:1 integral:7 gˆ:3 graph:2 γq:4 technique:1 tr:1 byrd:1 tp:4 tq:15 ıa:3 γj:3 finally:10 program:2 tj:1 those:26 elliptic:12 under:22 pay:1 analogous:5 include:1 necessary:5 applied:4 belonging:2 string:4 advantage:1 orthogonal:10 rise:1 none:1 atoms:1 geometrical:3 valued:4 every:4 summarized:3 ma:1 simplify:2 appropriately:2 condition:9 eit:1 illustrated:1 presented:1 did:1 turns:5 t2:4 solution:23 t1:1 leave:3 admissible:1 vector:31 limτ:2 rev:2 relation:1 glued:4 straight:2 proof:28 magdalena:1 still:1 jhep:2 neighborhood:15 specially:1 definitions:1 direct:2 cosh:7 past:5 consists:11 second:5 laughlin:1 davis:2 subtle:2 further:1 dynamics:2 substitute:1 goes:2 even:6 will:40 what:2 nonlinear:37 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0705.2211.txt |@word represent:1 gu:1 concept:1 gs:7 consider:5 chain:4 particular:1 dynamic:1 results:6 eds:1 ginzburg:1 code:1 falci:1 remarkably:1 displaying:1 devoted:1 depend:1 remarkable:1 iii:2 demonstrate:2 intensive:1 quasi:4 does:3 infinitesimally:1 present:1 kε:1 under:1 ionicioiu:1 sitting:1 far:2 rise:2 geometrical:4 wishes:1 putting:1 mixing:1 difference:2 exact:2 condition:3 common:1 dim:1 hamiltonian:5 diverging:1 cosine:2 anisotropy:1 admissible:1 differential:2 small:1 lidar:1 unexpected:1 villa:1 ten:1 renormalized:1 consistent:1 prediction:1 zero:5 perspective:3 chen:1 further:4 dψ0:2 even:8 sub:1 rate:1 brackets:1 giving:1 latorre:1 section:1 expressed:1 vidal:1 above:2 new:4 appeal:1 acknowledgments:1 completion:1 notions:1 degree:1 qµν:26 here:3 behaviour:1 iωτ:1 objects:2 tangent:1 ansatz:2 ratio:1 along:1 sine:2 equations:1 change:1 obtained:4 algebra:1 institute:2 study:2 studied:1 allows:3 orthogonalization:2 sx:1 suggests:2 amount:1 periodic:1 graph:1 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0705.2212.txt |@word ito:2 λp:1 κa2:1 δxy:10 cosh:3 p2µ:2 y1:2 y2:2 d2:15 bº:1 q1:14 meff:6 q2:5 ln:7 λq1:1 iπ:6 iϕ2:2 iξ2:1 g4:1 ϕy:1 kφ:2 mxy:6 iγ:2 iε:5 kxy:5 mf:3 dx:1 eµ:4 dw:1 amr:1 ϕa:4 δz:1 δx:11 arxiv:1 2x:1 δs:1 pˆ2:4 2a:2 1e:6 2l:2 2n:1 qj:3 qn:7 ei:3 arctan:2 sep:1 sbos:14 yº:1 zw:1 arm:2 s1d:19 qµ:13 dk1:1 q¹:1 3r:1 rx:16 µp:4 per:1 mφ2:3 δm:2 bz:10 quenched:1 mφ:4 jx:3 jy:1 mϕ2:1 nº:1 κa:1 sinh:2 e1:2 e0:3 wy:2 wx:24 r2:5 mphys:3 o:19 nµ:1 σx:9 pˆµ:1 px:1 ci:3 ca:1 strat:1 ferm:2 anµ:1 xx:2 xy:47 aπ0:1 ψx:17 ψy:13 hep:1 log:3 ca2:3 aº:2 ψw:1 m1:1 1d:1 kµ:24 m2:33 eβm:1 πx:2 m0:10 ψx2:2 θx:2 θy:2 kº:1 x2:2 x1:3 dynamical:1 p2:10 p1:2 ux:3 rβ:1 mb:3 2πi:4 det:16 mt:2 mw:2 ix2:1 iar:4 mx:3 loop:1 vx2:2 dxy:3 ip:1 ssusy:9 am:7 susy:3 ar:15 aw:3 πx2:1 vx:9 vy:3 pν:1 slac:12 ϕx:1 dk2:3 nx2:2 φx:75 φy:10 qλ:1 wxy:22 4πm2:1 nx:1 k2:8 k1:3 scont:3 sfree:10 φk:1 nt:4 sin:3 mº:5 ξx:12 ξy:1 apµ:2 a0:4 a2:30 a4:3 sb:1 lat:1 ξa:1 g2:1 kbos:2 wx2:1 pµ:13 dφ:2 gφ3:3 dτ:4 ψx1:2 na:1 n1:3 n2:3 kx:2 φz:2
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