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0705.1107.txt |@word proposition:6 ritz:1 vorticity:1 consider:13 gp:102 global:2 results:9 leads:6 eds:1 disc:3 computation:3 consists:2 gn:1 primes:2 denotes:1 contributions:2 hole:5 dα:1 soc:1 compact:4 whose:3 simon:1 depend:1 wω:34 integral:4 by7:1 combined:5 disposal:1 concerned:2 technique:1 φgp:7 gρ2:1 preprint:1 finally:1 equate:1 those:3 smallness:2 under:6 tf:162 anharmonic:7 include:1 ingredient:1 ρtf:77 case:33 reality:1 g2:5 straightforward:2 outside:7 far:2 yngvason:9 springer:1 wave:6 corollary:1 riviere:1 putting:1 stays:1 bounding:1 affect:1 exact:3 fakult:1 condition:12 treating:1 ρg:18 hamiltonian:10 positions:1 notes:1 list:1 solution:4 leave:1 discrete:2 convenience:2 vector:6 rj:7 science:1 small:3 hospitality:1 noted:1 degeneracy:1 upper:18 dilute:8 force:3 kavoulakis:1 dealing:1 estimates:9 measurable:1 modified:2 approximation:1 zero:9 value:2 infimum:7 follow:1 rigorous:2 further:4 copenhagen:1 ρn:6 even:1 will:14 what:2 errors:1 const:3 appear:2 giving:1 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0705.1112.txt |@word aa:3 f1:2 a0:1 gs:1 ad:1 ai:3 xλ0:19 aj:4 iu:1 rº:2 dw:1 λk:2 λn:3 x0:18 gi:1 cn:2 pp:1 rw:1 λki:1 log:1 uλ:1 ǫr:1 lim:1 xπ:6 u0:3 rz:1 εr:1 εk:1 sup:8 pj:1 pk:1 rn:11 mξ:28 pn:2 math:1 o0:2 vk:2 g1:1 dz:1 xλ:52 ϕp:3 a1:3 cº:1 a2:1 ϕi:2 uº:1 br:3 a2i:2 nov:1 fk:2 ds:1 dimr:1 ϕn:1 pi:3 r2:2 cycl:48 ǫk:1 ki:2 arxiv:1 mi:1 kn:2 o:1 pº:2 hi:3 ui:1 ox:3 ud:2 mx:7 |
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0705.1115.txt |@word represent:1 code:1 sci:2 consider:17 springer:2 maximum:3 particular:3 dynamic:13 results:5 four:1 sergey:1 commute:1 generalize:1 computation:6 θs:2 go:1 follow:1 gm:1 excluded:1 gj:5 row:8 farhi:2 inverse:1 depend:1 chinese:1 combinatorial:2 graph:73 technique:5 tr:7 acting:1 groundstate:2 languages:1 finally:1 program:4 weyl:1 present:4 th:3 under:8 decomposition:5 td:5 bansal:1 swap:1 norm:1 u2:2 conjecture:1 lack:1 g3:4 worse:1 g1:3 orthogonal:1 very:2 rise:1 ψk:1 wave:2 corollary:2 jacm:1 worst:1 affect:1 kann:1 difference:4 exact:2 høyer:1 condition:4 disconnected:5 leads:2 breadth:1 subsets:2 immediately:1 hamiltonian:38 solution:17 large:4 solved:6 vector:3 barahona:1 recall:2 small:9 eigenvalues:1 barbara:1 ups:1 configurations:1 unsatisfied:4 application:4 smaller:1 force:2 disordered:2 qubit:6 consistent:3 edu:1 direct:1 sign:2 approximation:30 consists:1 imply:3 cost:2 equal:1 rigorous:2 invariant:2 implemented:1 odd:6 belief:5 even:10 index:1 what:1 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0705.1130.txt |@word limited:6 extrapolated:5 exponentiation:3 squared:3 magnetic:23 luminosities:1 dynamic:1 four:66 entropy:288 preface:1 consists:16 localized:4 factorizing:2 whose:50 const:8 patches:3 cobe:2 paris:1 segments:1 extrapolate:1 unanswered:1 patched:2 vcs:2 γn:4 under:90 inwards:2 characterised:3 worth:1 αg1:1 reversibility:1 rise:12 replication:4 stolen:1 every:3 softened:1 summarized:2 experimentally:16 logarithmically:10 postpone:1 encounter:3 subsystems:2 differentiated:3 basics:1 specify:1 p4:1 cause:1 weinberg:2 solution:40 expectation:7 solid:5 convenience:4 vector:11 math:2 enclosing:1 indices:10 ups:2 degeneracy:4 favoured:14 forget:2 resummation:5 force:24 tduality:3 recalculating:4 altering:1 consistent:8 direct:8 approximation:80 surrounding:1 second:68 complicates:1 eiβ:1 dropped:1 rigorous:2 spontaneously:3 eigenspaces:1 hopelessly:1 even:44 established:8 specification:2 selected:11 supplied:1 consequent:3 en:2 above:53 new:28 increasing:20 ever:1 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