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0705.0275.txt |@word 2c7:2 partial:3 consider:16 chain:1 results:4 gy:1 gx:1 leads:3 gt:3 mℓ:5 follow:3 gk:4 causes:1 row:5 compact:22 certainly:1 hold:7 const:3 calculate:8 albrecht:2 γs:1 tr:3 finally:6 tm:7 those:1 th:4 under:4 norm:7 applied:6 ty:2 summand:3 g0:1 very:1 frequencies:1 hirsch:1 tends:2 conditions:1 choice:1 corollary:4 every:8 entries:1 overcomes:1 matrices:7 differentiated:1 obvious:1 vladimir:1 solves:5 hamiltonian:19 induction:1 notes:1 having:1 solution:27 t0:21 herbert:1 try:3 solved:5 vector:4 small:7 hyy:2 shows:10 gruyter:1 ver:1 upper:1 zn:10 smaller:1 says:5 zi:2 periodicity:1 zk:27 sℓ:9 lecture:1 estimates:23 literature:2 zero:4 evaluated:1 zt:1 further:4 dynamics:3 canonical:29 even:1 aim:1 appear:1 invertible:2 giving:1 3r:34 sum:8 mathematical:2 rm:5 uniform:2 henceforth:1 version:1 3n:4 above:3 sup:2 new:12 increasing:1 method:3 satisfy:2 chaotic:2 degree:3 respectively:3 4s:1 component:1 here:5 desired:2 inverse:1 xξ:15 ansatz:2 others:1 represented:1 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0705.0276.txt |@word homomorphism:1 consider:6 alg:1 bull:1 results:2 leads:3 proposition:13 generalize:1 consists:1 follow:1 gl:1 naukova:1 equivalences:1 compact:3 equivalence:3 noncompact:3 tl:5 excluded:1 under:7 must:3 belonging:2 deforming:1 orthogonal:8 very:1 pages:1 springer:1 dokl:2 entries:4 associated:1 gavrilik:2 deformations:1 presented:1 irreducible:75 81r50:1 involution:2 vector:4 interchanging:1 reyman:1 says:1 direct:12 integrability:1 irreducibility:5 odd:16 linear:3 even:15 appear:2 sum:12 above:5 suppose:3 satisfy:1 respectively:5 here:4 diagonal:1 groups:4 directions:1 consideration:1 equations:1 appears:2 change:2 obtained:2 remark:1 items:1 study:3 studied:2 allows:2 sbornik:1 products:3 su1:1 published:1 action:1 proof:1 changes:1 quotient:6 useful:2 classification:1 bullock:1 coinciding:1 unit:1 use:2 would:1 prove:1 double:1 positive:3 contains:3 properties:1 betweenness:1 call:1 therefore:5 m3:1 m2:5 tsetlin:5 type:5 more:1 separated:2 introducing:1 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0705.0277.txt |@word 2m2:1 consider:5 magnetic:5 lack:1 results:3 scalar:5 grateful:1 kato:1 gkσ:1 research:1 contributions:6 whose:1 inverse:13 calculate:1 technique:1 tr:5 charge:18 does:3 include:1 kν:1 case:9 supported:1 ckσ:1 zhang:3 very:1 rise:1 induce:1 wave:1 ichiro:1 wavy:1 mixing:1 experimentally:3 al2:1 treating:1 evm:1 hamiltonian:2 turns:2 anisotropy:1 solution:1 vector:1 indices:1 accumulation:1 smaller:1 force:1 disordered:4 oscillation:1 consistent:1 10a:1 direct:1 cosh:1 approximation:1 second:9 dynamics:5 estimated:2 zs:1 even:1 aim:1 ohno:1 gk:8 tohoku:2 thickness:1 current:67 version:1 poles:1 above:2 spintronics:1 net:1 contributes:1 contrast:3 simultaneously:1 exchange:14 respectively:3 2degs:5 here:2 perpendicular:3 xλ:1 magnetism:1 minor:1 inversion:1 mes:1 relaxation:2 represented:3 path:2 along:1 strong:1 appears:2 obtained:3 convert:1 institute:1 study:1 studied:3 himp:2 resulting:1 fourier:1 studies:2 via:5 spatially:2 semiconductors:2 sample:1 hankiewicz:2 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0705.0292.txt |@word concept:1 partial:1 consider:5 chain:2 illustrates:1 results:7 approximable:5 entropy:33 garching:1 localized:1 row:1 looking:2 maximally:2 const:2 effort:1 white:1 tr:14 finally:2 monotonically:1 hardness:2 th:3 under:3 tr1:2 norm:2 ingredient:1 applied:1 translations:2 springer:1 focus:1 every:3 mps:50 summarized:2 bounding:2 matrices:1 fakult:1 tagging:1 trk:1 hamiltonian:6 michael:1 large:1 vector:1 pbc:2 eigenvalues:1 renner:1 mn:1 compensated:1 dealing:1 approximation:2 imply:2 rigorous:1 invariant:11 ter:1 approached:1 even:4 established:1 what:1 approximability:19 appear:1 uniform:2 version:2 new:1 factorizing:1 method:1 body:1 aik:2 tags:1 respectively:1 condmat:1 realizations:1 here:1 understanding:1 behaviour:1 following:3 explore:1 ansatz:2 represented:1 consideration:1 logarithmic:3 knowledge:1 obtained:3 rigorously:1 involved:1 vectors:2 conti:1 completely:1 periodic:2 resulting:2 implement:1 schur:1 fix:1 family:5 bounds:1 replace:1 austria:1 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0705.0293.txt |@word proposition:6 moret:1 homomorphism:1 consider:1 springer:5 alg:2 results:6 four:1 commute:2 getzler:3 sci:2 gi:3 row:1 compact:1 whose:1 weierstrass:1 depend:2 calculate:8 paris:2 acting:1 presents:1 eliennes:1 finally:2 program:1 γn:1 elliptic:2 under:3 γc:2 γb:2 γa:2 spec:3 subtleties:1 applied:3 conjecture:1 g4:1 g3:1 g2:2 abelian:6 g0:2 very:1 bergstrom:8 differently:1 g9:1 choice:1 corollary:1 valued:1 putting:1 ramified:1 instituut:1 dim:8 induced:3 etudes:1 presented:1 did:1 irreducible:8 notes:4 t2:5 t3:7 involution:1 vector:2 math:14 small:1 eigenvalues:7 ddd:1 rhoms:2 smaller:1 uva:1 2k2:1 jacobians:1 σhi:2 rhomx:2 direct:5 go:1 second:1 korteweg:1 further:1 implemented:1 odd:6 substitute:1 canonical:2 spectral:1 will:6 what:1 vermeulen:1 invertible:4 giving:1 diag:11 section:10 ast:1 cohomologie:2 enjoyed:1 sur:2 above:2 new:3 consisting:1 satisfy:1 degree:6 sga4:1 pushing:1 component:2 here:2 understanding:1 modular:1 les:1 jonas:8 groups:9 address:2 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0705.0294.txt |@word sci:1 consider:8 rev:8 although:2 known:1 scalar:4 abundant:1 contributions:3 localized:1 increase:1 depend:1 tr:3 charge:10 alvarez:1 those:1 excluded:2 under:13 include:1 tb:1 ta:2 string:12 zhang:2 very:4 worst:1 rattazzi:1 affect:4 buchm:4 severely:1 orste:1 hadronize:1 evaluation:1 nucl:15 large:1 discrete:1 vector:13 gut:9 dαi:1 smaller:1 α2i:1 consistent:2 sin2:3 prediction:2 surrounding:1 likely:2 salam:1 even:5 neutralino:1 sub:1 section:1 senjanovic:1 henceforth:1 gi:2 above:1 fractional:4 new:2 modded:1 nasri:1 ratz:1 lee:3 here:4 bi:4 lep:2 explore:1 free:1 pati:1 drell:2 tevatron:3 z2:2 z3:2 obtained:1 search:2 larger:1 resulting:1 montreal:1 via:6 leptons:1 gluons:2 extra:1 messengers:1 condensates:3 apply:2 landscape:1 blumenhagen:1 use:1 usa:1 finally:4 perl:2 few:1 circumstances:2 therefore:3 qcd:3 generators:1 more:3 qdd:1 wingerter:2 th:3 stable:5 particular:2 calorimeter:1 cases:2 fermionic:2 abundance:1 states:33 mg:2 rajendran:1 evolution:1 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0705.0302.txt |@word gd:3 consider:8 nonrational:1 results:1 invent:2 proposition:14 follow:1 gl:4 compact:2 analytic:1 γt:33 finally:1 preserved:3 elliptic:5 under:1 ven:1 degeneration:1 p2:5 conjecture:9 johnsen:1 very:1 rem:1 induce:1 every:1 exact:1 deformations:1 condition:5 dim:31 riemann:10 irreducible:4 notes:2 tre:1 vector:2 math:13 largo:1 leonardo:1 programme:1 2k0:2 brill:1 second:2 reine:1 theory:1 aim:1 what:1 appear:1 nef:8 section:5 4r:1 wd1:2 secant:1 above:7 new:1 contributes:3 satisfy:5 degree:9 respectively:2 lange:5 here:1 desired:3 along:1 remark:3 divisor:6 technical:1 contradiction:10 ampleness:1 pick:3 deg:3 useful:1 projection:2 classification:1 tensored:1 order:1 denotes:1 linearly:2 clifford:23 use:4 andreas:7 sharper:1 prove:13 distinct:1 positive:1 lying:1 contains:1 bundles:5 next:2 therefore:17 pencil:5 berlin:3 iw:6 particular:6 known:4 projective:4 cases:2 hold:4 iii:2 must:11 springer:3 isomorphism:2 ma:2 mb:1 recall:4 work:1 kn1:2 mt:21 codimension:2 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