text
stringlengths
0
190k
0704.1414.txt |@word 2m2:1 zº:1 s2n:3 θr:1 dsdx:29 y0:1 dbs:9 dbr:9 ys:27 bº:1 cn:2 ztm:3 ytn:2 xs0:2 xtt:29 γs:1 dπn:2 tt:2 vs:6 ds:80 cc:6 lt:28 lu:2 ls:13 ess:2 ksm:4 ztt:3 ksn:5 cm2:1 lim:3 dk:11 2mt:6 dyt:1 dφt:14 dνm:1 dz:2 dx:94 dy:12 dt:41 yr:1 dr:28 yt:21 dp:1 2t:8 πm:6 xst:152 xt0:20 arxiv:1 l2:32 dxdr:4 zrm:2 l1:2 2k:1 vst:7 2k1:1 sep:1 l2n:2 uir:1 yº:1 b1:1 b2:1 d¹:1 zt:5 gm:20 dνn:4 zs:15 rt:7 zrt:7 µy:2 ktm:14 µt:6 ytt:3 µs:1 µr:3 rd:243 c2c:1 ytm:8 gn:13 sup:39 dxdt:1 rm:1 rn:18 eϕ2:1 math:1 dxds:1 bd:1 kst:9 vrt:2 σij:2 bi:2 bt:1 φds:1 bs:1 xº:1 dkt:4 uns:3 dks:10 v1:1 unk:2 lº:3 σt:1 xj:2 hº:9 xi:5 hd:2 a2f:1 h2:3 cb:1 fº:1 ce:19 limn:2 limm:1 xr:3 xs:21 γt:1 φdν:2 xt:8 pr:1 2k12:3 yrn:9 sup0:6 πn:15 kt1:2 u2:17 πt:3 m2:2 dtdx:4 kº:1 yrt:9 udr:1 θn:4 hn:13 drρ:3 c2:4 c1:5 θt:1 zst:31 eγt:2 eγs:15 ysn:27 ysm:21 ktt:2 ut:1 supt:2 us:25 ur:1 um:20 n¹:2 ktn:7 un:84 ui:22 supn:1 zsm:17 zsn:18 yst:38 f0:2 lτ:2 y0m:4 ai:2 lψ:1 cbm:1 dν:33 νm:8 νn:13 φr:4 φs:17 φt:78 dwt:1 uº:5 s2:9 cc1:8 cc2:8 k2:20 k1:7 ck1:2 xrt:22 m¹:1 8m2:2 mº:1 fs:2 ft:7 max:1 cb2:1 cb3:1 a2:5 ξn:2 h2d:5 s2f:1 fm:20 fn:28 zrn:5 dyds:1 u1:16 k22:3 4t:1 min:1 dπ:2 st:4 ks:4 h2n:6 fst:8 exp:2 kt:13 eµt:13 4e:1 eµr:2
0704.1415.txt |@word monte:1 code:1 desirable:1 results:1 leads:2 roy:3 computation:3 go:1 follow:2 row:1 inverse:1 tz:1 re:4 finally:2 under:1 alternating:6 applied:4 g1:1 orthogonal:8 splitting:1 sons:1 exact:6 rα:8 csd:1 large:1 solved:1 2ki:1 math:1 variances:2 indices:3 zn:1 mn:2 direct:1 literature:1 approximation:2 rate:1 zy:1 gn:1 further:5 carlo:1 linear:3 even:3 stands:1 diag:1 section:5 expressed:1 uniform:1 annals:2 above:2 new:4 method:2 coefficient:2 degree:2 trivedi:3 here:1 favourable:2 inversion:3 represented:1 xα:4 equations:3 z1:1 box:2 study:1 ty:1 accomplished:1 resulting:1 fourier:4 york:3 control:1 useful:1 family:1 apr:1 hermite:2 explained:2 hardy:1 feller:2 summation:1 should:1 unit:3 derivatives:1 use:3 asymptotic:3 would:5 prove:1 positive:4 contains:2 negative:1 properties:1 few:1 therefore:1 recommend:1 rearranging:1 type:3 theoretical:1 more:13 inferential:1 skewness:1 comparison:2 becomes:2 company:1 digits:2 appendix:2 virtue:1 particular:8 cases:1 eζ:1 iii:1 hints:1 me:1 ρe:2 r2:5 dxn:1 equation:1 work:1 modified:1 erf:1 values:6 publications:1 following:5 factorials:1 example:1 proof:5 f0:5 f1:1 process:3 cited:1 purposes:1 sample:12 sphere:1 his:1 imϕ:2 dxi:1 arise:1 tan:16 occur:2 absolute:1 needs:1 straightforward:1 defective:1 provide:1 s2:13 s1:4 get:1 parameter:1 sin:3 algebra:1 ζk:1 derived:7 ball:2 applications:1 fh:1 representations:9 evaluations:1 choice:1 engineering:1 johnson:2 computations:1 lines:1 st:1 follwing:1 sj:1 accelerated:1 encyclopedia:1 sn:11 sm:1 correlation:1 representation:9 order:4 fα:18 over:6 paper:2 including:2 statistical:2 mentioned:1 existence:1 its:5 before:1 derive:1 τj:2 thank:1 fit:1 personal:1 coordinates:1 forms:2 mail:1 main:1 decades:1 h0:2 maximal:1 non:4 h1:1 combination:2 yn:1 integral:4 xg:2 identically:1 now:1 wiley:1 2t:1 easily:1 term:3 university:1 traced:1 capability:3 theory:1 wong:2 each:1 found:2 x12:1 2j:1 mean:2 domain:2 square:1 wα:18 series:39 hypergeometric:2 gaussian:1 used:4 ey:1 measure:1 eu:5 laboratory:1 avoided:1 shown:1 matrix:2 kummer:3 furthermore:2 since:5 rx:1 ry:1 attracted:1 contained:2 mα:1 reader:1 formula:4 squares:2 correct:2 independence:1 rk:1 after:4 mπ:7 abramowitz:2 given:13 standard:2 completely:1 base:1 dx1:1 besides:3 bowman:2 arccot:1 american:1 βn:1 first:1 xj:1 xk:3 xi:11 xn:15 probability:8 laguerre:1 nc1:2 variables:5 number:1 ℓj:1 relations:1 directly:3 quality:3 ser:1 cosφ:1 1s:3 1t:1 introduction:3 leading:2 system:1 least:5 their:1 too:1 1k:1 john:1 exponents:1 shifted:1 recursively:1 exactly:1 authors:1 x0:1 x1:12 than:4 coefficients:7 population:1 double:3 approximations:4 depends:1 appealing:1 εi2:1 kth:3 were:2 enables:1 m2:1 craig:4 karamata:1 seem:1 asserted:1 orders:1 wilson:1 angle:7 zero:1 min:1 thoroughly:1 latter:2 note:1 sciences:1 k1:1 εi:3 indexed:1 accuracy:1 formulas:2 continuous:1 gβ:3 gα:35 investigations:2 who:1 beta:1 eight:3 remarks:2 inserted:1 considered:1 ki:3 later:1 statistic:1 kn:1 2nd:1 exp:15 sum:4 incomplete:1 dover:1 cdf:24 random:7 relation:4 solutions:1 decompositions:1 xαj:1 keywords:1 find:2 slow:1 based:3 spite:1 distributed:1 zα:2 lemma:4 only:11 factor:2 integrate:1 integrable:1 stegun:2 nj:3 do:1 mixture:9 legendre:3 means:1 dekker:1 de:1 aα:8 ϕn:6 dz:6 nearly:2 dx:6 dy:2 during:1 dt:2 sinus:2 dr:3 pearson:4 arxiv:1 tauber:1 investigate:1 analytical:1 nα:5 fixed:1 multiplying:1 computed:3 national:1 hα:22 y1:1 see:3 computer:1 result:2 w1:2 sporadic:1 mth:1 subject:1 satisfying:2 uα:2 xi2:2 lukacs:2 written:1 determined:1 various:1 between:4 geometric:1 approach:1 αn:6 available:2 terms:3 jy:1 parent:3 attention:1 however:4 hypothesis:1 wr:2 key:1 jk:3 bivariate:1 cos:20 last:3 cot:5 0t:1 according:1 against:1 ln:3 variance:9 estimation:1 whole:2 cos2:1 cj:1 characterization:3 simple:2 cf:1 sampling:2 1dt:1 mathai:2 bα:4 polynomial:2 constant:2 throughout:1 pr:13 strong:1 transformations:1 distributional:1 due:3 been:1 quickly:1 cauchy:1 interest:2 pk:4 tan2:2 pm:3 obtained:10 kotz:5 samples:2 concerning:2 essentially:2 royen:2 derivative:1 c1:5 convergent:2 former:1 present:1 ϑn:1 case:3 classifications:1 look:1 exponential:3 might:3 provost:2 value:3 laha:3 replaced:1 iy:1 vol:2 thus:2 yk:1 marcel:1 ii:1 characterize:1 ik:2 obstacle:1 im:1 cone:2 vanish:1 technology:1 cumbersome:1 different:3 author:1 journal:3 same:4 any:9 stimulated:1 parts:1 largest:1 several:1 interpolation:1 independent:2 calculation:1 investigated:1 singapore:1 comprehensive:1 numerical:6 functions:12 hand:1 moment:1 student:1 pdf:3 infinite:1 identity:1 suitable:3 acknowledgement:1 depending:1 lim:1 otherwise:1 spherical:2 proposed:2 moments:14 when:1 accurate:2 compound:1 obtain:10 biometrika:4 integer:9 differentiation:1 followed:1 alternative:1 tables:1 rapid:1 multiplication:1 lebesgue:1 density:3 iϕ:2 association:2 easy:1 theorem:23 transformation:4 real:1 tests:1 sums:1 possible:2 early:1 using:2 ams:1 unique:1 apart:1 like:1 follows:11 substitution:1 integrals:3 reduced:1 mathematical:4 because:2 methods:1 sequence:2 absolutely:4 some:6 s1n:1 convex:1 universes:1 proofs:1 provided:1 scale:1 competitor:1 normal:7 integration:6 exposition:1 provides:4 moderate:1 bessel:2 inserting:2 measures:1 eiϕ:2 scientific:1 power:7 bn:7 confluent:2 expansion:6 binomial:3 variation:1 2m:8 cα:8 2n:3 simpler:1 chapter:2 integers:1 pα:2 actual:2 world:1 theorems:1 o:5 germany:1 2k:4 consequently:3 explicit:1 gamma:14 considerations:1 eφ:2 publishing:1 communication:1 into:1 within:7 numerically:2 bound:1 three:1 odd:3 right:1 references:1 determine:1 theoretically:2 often:1 statistics:3 ridge:1 comparing:1 intrinsic:1 truncated:8 u1:3 transform:2 normality:1 quadratic:2 handbook:3 way:2 ed:1 was:3 function:3 differences:3 but:3 volume:2 convergence:3 bounds:1 entails:1 below:2 limit:1 distribution:33 similar:1 laplace:2 taylor:2 ordered:1 defined:1 certain:1 abstract:1 specified:1 general:1 littlewood:1 single:3 reliability:1 exist:1 goodness:1 corresponding:2 distributions:6 inc:2 ni:5 mutual:1 nk:2 nm:2 nn:1 populations:1 oak:1 arctan:3 nx:2 application:1 setting:1 test:2 nr:1 nt:2 nu:2 arithmetic:1 deviation:1 polar:1 denote:2 symbol:1 representable:1 polynomials:9 nonnormal:2 a1:1 reiϕ:1 bounded:2 fisher:1 sides:1 structure:1 implies:1 dω:1 4t:4 required:3 equivalently:1 implied:1 restricted:1 n0:2 n1:1 dϑ:2
0704.1416.txt |@word replacing:1 limited:1 monte:7 measurements:1 evidence:1 consider:2 represent:7 si2:2 global:6 b195:1 results:6 vermaseren:1 four:6 scalar:11 per:1 computation:3 morel:1 follow:2 gm:1 research:1 contributions:2 compact:1 preserves:1 inverse:1 zone:1 collisions:2 sines:1 tr:55 containing:1 violation:1 quasi:1 indicate:1 th:2 under:4 stochastic:1 include:1 tc:2 divergent:3 division:1 1pi:8 g3:83 g2:2 md:40 very:5 choice:1 suggesting:3 ultraviolet:1 figs:1 application:1 ui:2 nieto:1 difference:4 matrices:4 condition:4 dim:2 trm:23 panagopoulos:1 level:5 m2:29 notes:1 list:1 colors:1 integrated:1 large:5 trz:12 hdi:1 affect:2 regularizations:4 xd3:5 div:2 trt:1 farakos:1 zm:1 smaller:5 renormalized:1 mi:3 yaffe:3 sin2:3 peikert:1 sign:1 approximation:2 zero:12 dimensionally:2 arnold:1 zz:1 correlator:2 further:3 dynamics:1 estimated:1 kurkela:2 expressions:1 summation:1 linear:3 even:3 trivially:1 abc:6 g23:3 advantageous:1 cˆi:1 blum:1 trivial:2 section:3 qcd3:1 flops:1 expressed:2 d3:125 b442:1 3i:2 above:1 deal:1 new:4 b448:1 subtracting:1 method:2 3d:2 make:2 full:6 hart:1 chose:1 degree:1 kajantie:5 respectively:5 spacing:6 heller:2 here:4 desired:1 objects:1 separation:1 strategies:1 directions:1 d51:1 along:4 standard:2 vuorinen:2 logarithmic:4 z3:2 box:1 convert:1 property:1 incoming:2 sectors:1 pressure:3 study:5 studied:2 nonabelian:1 denominator:2 p2:24 infrequently:1 simply:1 procedure:2 permutation:2 action:12 flavour:1 dcde:1 fourier:1 cˆ2:7 cˆ3:20 relation:1 cˆ1:13 petersson:1 formulated:1 gluons:4 extrapolations:1 requiring:4 9c:2 prefer:1 integrations:1 marked:1 replace:1 unitary:1 gluon:9 hietanen:1 condensates:19 total:1 linearly:3 b156:1 tricritical:1 derivatives:2 use:4 additive:2 figure:11 would:3 liberation:1 covariant:4 positive:3 negative:2 loops:3 distinct:1 vol:1 live:1 m1:10 therefore:2 m3:10 qcd:23 taken:2 4nc2:1 panel:5 assessment:1 theoretical:2 diagrams:22 more:2 separated:3 permutations:1 logβ:1 4nc:1 hermitean:2 becomes:4 operators:9 shaposhnikov:2 validity:3 instantons:1 s3:2 appendix:3 surface:2 separates:3 g4:2 δcd:2 wetting:1 bialas:1 topic:1 quartic:4 2yi:1 decouples:1 equation:3 work:1 det:1 theories:11 values:12 temperatures:4 ms:47 following:6 making:3 adjusted:1 sci:1 numbers:1 transition:22 renormalization:23 links:1 give:9 calculation:15 expanding:1 eqcd:10 organized:1 m21:1 high:13 minimum:7 protects:1 performed:3 hhh:3 hh:2 x2i:1 yang:3 regularization:12 goal:1 resemble:1 rather:1 breaking:3 csc:1 s4:2 chemical:2 hot:6 numerous:1 adjacent:1 ordinary:2 axis:1 parameter:17 sin:26 b458:1 profile:2 tension:2 tsapalis:1 d74:2 transforming:1 advice:1 after:3 needs:1 wiggly:1 diagram:14 fa:5 modest:2 produce:1 2tr:4 coming:1 lat:15 fi:2 renormalizability:1 wave:2 data:5 constants:5 sz:3 physical:10 effective:17 helsinki:2 light:1 counter:2 sw:3 correspond:1 su:19 svetitsky:2 lengths:1 si:7 extrapolation:3 so:6 specifying:1 fundamental:4 correlation:2 representation:4 d62:1 order:49 restriction:1 coexisting:1 noteworthy:1 overrelaxation:2 over:5 choose:2 symbols:1 thermal:3 paper:4 lattices:2 kinetic:1 still:2 its:3 features:1 regions:2 group:4 probability:4 fit:1 ln:9 exact:5 temporal:1 inclusion:2 weaker:1 d33:1 laermann:1 forms:1 absence:2 parts:1 fig:9 tra2:1 fij:1 renormalizable:2 lz:1 nc2:38 yi:13 ri:1 non:17 yj:5 pure:3 combination:1 trh:4 numerically:1 landau:1 scaling:4 framework:2 ces:1 subtraction:2 they:2 nov:1 bath:2 nucleus:2 matched:3 accommodate:1 term:11 finite:12 2q:2 dabc:2 university:1 2x:2 2y:3 b372:1 grows:1 2f:2 magnitude:1 mode:1 reasonable:1 2c:2 accompanied:3 2n:2 2h:2 2i:3 subset:3 domain:2 schemes:7 ei:2 significantly:1 weight:3 map:1 hadronic:2 energy:5 hard:3 mclerran:2 gaussian:1 related:2 challenges:1 crit:2 obtains:2 measure:1 separating:1 our:3 transitions:3 eq:4 out:5 shown:1 matrix:4 ginsparg:1 space:4 restricted:1 since:7 lagrangian:5 cancels:3 denotes:1 re:3 posteriori:1 vector:1 4pq:2 denoted:1 get:5 squares:1 evaluation:1 correct:2 c33:1 theory:42 symbolic:1 interactions:1 favored:1 adcox:1 discontinuity:8 diagonal:3 free:6 quark:5 ex:2 small:8 approaches:1 formation:1 roweth:1 additional:1 definition:1 interaction:1 language:1 v1:13 finland:3 running:2 a757:2 times:2 δil:1 phenix:2 length:2 plane:3 δii:1 δij:3 ltd:1 corrections:3 neglected:1 diminishes:3 b451:1 eqs:4 b251:1 first:17 origin:1 xk:4 philipsen:2 xi:31 vacua:2 symmetry:21 jhep:4 variables:3 nc3:6 dˆ1:11 number:2 dˆ2:5 restrict:1 fits:2 2p2:2 done:3 relations:3 another:1 carry:1 indices:1 b628:1 2nc:8 size:2 5tc:2 given:2 perturbation:7 tadpoles:4 temperature:16 guaranteeing:1 their:4 introduction:2 leading:2 adjoint:13 histograms:1 system:4 construct:1 needed:9 conservation:1 1e:6 aa0:1 calculations:6 enforce:1 scheme:4 final:1 gives:2 gyulassy:1 collapse:1 mostly:1 3d3:1 academy:1 acquire:1 contribute:4 electroweak:1 part:3 dˆi:1 simulate:1 manipulation:1 x2:24 natural:2 spacings:2 than:6 coefficients:11 potts:1 determines:1 last:3 was:5 require:3 higgs:5 aai:4 second:4 correlators:5 matter:4 states:1 18q:3 contrary:1 were:7 e2:6 perturbative:20 function:11 symmetries:1 generality:1 respecting:2 lines:15 kennedy:3 regime:2 deconfinement:2 7q:2 need:2 seen:5 seem:1 any:7 viewed:1 wilson:9 generic:1 computationally:1 exploratory:1 arkk:1 studying:1 pendleton:3 mills:3 sciences:1 potential:26 ainen:2 build:1 φaa:1 channel:2 accuracy:1 subscripts:1 b3:1 exactly:6 trace:1 collaboration:4 condensate:3 most:1 beta:1 importantly:1 significant:1 definitions:1 phase:44 future:1 measured:2 signalled:1 cc:1 appear:1 appelquist:1 parametrize:1 constructed:1 rajantie:2 calculated:6 justifying:1 stronger:2 dcrit:2 wiese:1 feynman:2 points:5 reflections:1 similarly:2 abi:1 laine:8 effect:5 physics:3 3q:21 sector:2 12a:1 forcrand:1 altes:1 text:1 tkl:1 supported:1 infrared:6 discovered:1 attempts:1 minimizing:1 gauge:21 d2:79 find:1 fifth:1 d1:54 partonic:1 latent:1 parameters:7 written:5 analytic:1 only:14 explicitly:3 generators:3 screening:2 factor:1 b704:1 local:2 hip:1 do:2 handle:1 gev:2 notation:3 di:11 dependent:1 familiar:1 simplest:1 overall:1 expectation:6 simpler:2 cannot:2 brillouin:1 ˆi:1 combinations:1 during:1 rothe:1 d52:1 areas:1 de:1 continuum:17 fields:13 karsch:2 arxiv:1 remove:2 acknowledgments:1 sum:3 plaquette:2 54q:2 4πa:4 activity:1 fixed:2 traceless:5 thanks:2 coefficient:2 set:3 computed:1 imposing:1 undergoes:1 δjk:1 testing:1 notice:1 lett:6 flip:1 relative:1 namely:1 electrostatic:1 result:3 versus:1 progress:1 heavy:1 violates:1 phases:9 interacting:1 b366:1 nature:1 sites:2 symmetric:20 case:2 state:2 determined:4 various:2 between:12 understood:1 invariant:6 subscript:1 d53:1 approach:3 ends:1 4m2d:3 terms:17 extend:1 complementary:1 component:1 yi2:1 weak:3 however:13 duane:1 reproduces:1 δab:4 suppressed:1 valid:2 c22:3 c23:6 cos:1 parentheses:1 acquiring:1 limits:1 iγ3:1 region:5 density:2 equal:3 contract:1 b513:1 ade:1 connection:1 braaten:1 interesting:1 traded:1 zˆ:8 comes:1 36q:1 minima:7 ci:6 relevant:1 formulations:1 renzo:1 point:11 wall:2 cb:1 lagrangians:1 way:1 corresponds:1 cd:1 dimensional:12 carlo:7 ab:3 regulated:2 math:1 cancel:4 table:2 factors:1 expensive:1 ct:1 lect:1 strong:3 transformations:3 persists:1 addition:3 know:1 oder:2 due:4 been:10 tensors:1 defined:5 reduction:3 describes:1 change:2 berg:1 basic:2 expected:1 ph:12 pi:3 formalized:1 define:1 obtained:6 direction:1 describe:1 corresponding:4 both:10 scalars:4 quantities:2 sufficient:1 toussaint:1 search:2 6q:2 confinement:1 lives:1 curves:1 derivative:2 c3:46 c2:14 c1:20 denote:1 irrelevant:1 present:2 c4:9 applied:1 k2:1 couple:1 solid:3 adj:2 expanded:2 value:8 spontaneously:1 while:3 momentum:5 behavior:3 cancelled:1 tunneling:1 fms:8 loop:35 weakens:1 identical:3 aa:6 larger:4 3nc:1 n2c:1 rii3:1 thus:10 yk:4 discrepancy:1 reads:3 vs:1 confining:1 formulae:1 ia:1 comments:1 xj:2 different:5 author:2 perform:5 suggest:1 divergences:9 renormalize:1 amount:1 same:8 σm2:1 read:1 complex:7 contain:1 dimensionless:4 several:1 showing:1 higher:2 independent:3 used:6 peaks:1 see:4 cubic:8 aah:3 i3:1 numerical:4 upon:1 generalizes:2 hysteresis:1 v0:5 aleksi:1 v2:1 potentials:4 infinite:1 analyticity:1 invariance:1 identity:3 recent:1 relies:1 schr:2 center:5 2m3:1 whole:1 vertices:1 well:1 analysis:5 double:1 exceedingly:1 experimental:2 components:1 sets:1 five:2 model:16 plotted:1 arising:1 dimension:2 parametrically:1 left:2 φtr:4 background:4 generalization:1 decreasing:1 being:1 hybrid:2 3p2:1 trigonometric:3 obtain:3 effects:1 cˆ:1 transforms:1 world:1 momenta:2 am2:1 brackets:1 reduced:3 conclusions:1 seems:2 parametrization:1 signals:1 lattice:59 setting:3 rhic:3 versa:1 tija:1 plasma:3 ca:1 iχ:1 adi:2 real:5 sannino:1 around:4 rev:12 represents:1 rules:3 breaks:1 sums:1 possible:1 pos:1 department:1 unification:1 makes:1 appendices:1 vacuum:5 using:13 schroder:1 stephanov:1 color:2 adams:1 semiclassical:2 g33:3 g32:25 appearing:1 g34:33 lost:2 g36:5 systematically:2 follows:3 qualitative:1 performing:1 shrink:1 api:3 yields:1 integrals:5 become:2 soft:6 reduces:3 terminology:1 b478:1 because:1 methods:1 classical:1 pseudocritical:1 discontinuities:1 bde:4 some:1 b4:2 polynomial:2 b2:2 respect:1 b170:1 repeated:4 ourselves:1 improved:1 scale:8 dense:1 dimensions:2 fourth:1 dropping:1 ones:1 quarks:2 extensively:1 2c2:1 critical:22 connecting:1 unit:1 ensemble:1 mesonic:1 refer:1 uµν:1 flavors:1 masses:7 scientific:1 power:1 d73:1 polyakov:1 tree:3 equivalent:1 bi:2 expansion:5 broken:14 b210:1 found:6 imaginary:2 refers:5 super:5 properties:4 stage:1 carried:2 ace:3 commutator:1 dˆ:1 freedom:1 aci:5 dependence:9 o:48 simulation:1 remains:3 range:2 a2:14 neuhaus:1 connected:4 d67:1 d66:1 functions:1 lat2006:1 korthals:1 contractions:1 presence:2 a750:1 into:3 within:1 rotations:1 three:11 down:2 pisarski:3 hermitian:3 right:3 references:1 cent:1 determine:1 gottlieb:1 operator:3 proportional:7 fixing:1 relativistic:1 hep:26 log:18 retr:2 precludes:1 strictly:2 there:17 nucl:17 restricts:1 quadratic:7 low:2 terminates:1 sections:1 lowest:2 commutes:1 form:7 metastable:1 δkl:1 differences:4 but:6 volume:5 heat:3 link:2 hopes:1 implies:1 line:16 longer:2 applying:1 algorithm:3 invaluable:1 vice:1 up:7 quantitatively:1 discretized:1 below:1 limit:10 bce:1 continuously:1 fluctuations:2 matsubara:1 m2d:16 expect:1 strongly:2 required:1 constant:7 debye:1 computing:2 ai:11 pseudo:2 abstract:1 aj:2 am:1 slowing:1 general:1 eu:1 single:3 arises:2 predictions:1 numerators:1 simulations:12 jahn:1 distributions:1 internal:2 defines:1 lim:2 beyond:1 thermodynamical:3 us:1 dotted:2 no:5 amounts:1 dashed:3 nc:57 generally:1 vanishes:4 nf:1 matching:7 field:13 other:2 compares:1 details:4 6i:1 test:1 massless:1 concerning:1 explaining:1 elements:3 star:2 volumes:4 separate:1 models:3 symbol:1 4i:1 b505:1 a1:1 a0:6 a3:1 important:1 bounded:1 a4:3 rummukainen:5 included:1 multicanonical:3 gets:5 structure:3 ig3:3 coupling:9 2d3:1 2d2:3 perturbatively:2 expands:1 d23:11 d22:4 curve:2 d24:1 together:1 write:1 mass:20 4h:1 2m2d:1 4d:1 requires:1 original:2 external:2
0704.1417.txt |@word logarithms:9 consider:13 bellaterra:1 rev:3 equalities:1 focus:1 scalar:1 uncertanties:1 computation:7 parameterization:1 consists:1 expressions:11 contributions:5 forget:1 depend:1 estructura:1 asking:1 aut:1 th:1 stable:2 analogous:1 te:1 worth:1 supported:1 g2:5 very:1 choice:1 implicit:1 affect:1 emphasized:1 difference:1 exact:1 arrange:1 did:1 issue:2 list:2 solution:1 large:25 vector:30 small:7 c02:1 jhep:3 smaller:2 maclaurin:2 consistent:2 estimates:2 prediction:1 literature:1 approximation:1 go:2 zero:1 correlator:4 dynamics:1 theory:7 spectral:1 will:22 what:5 power:5 dept:1 sum:8 current:10 axial:12 experiment:2 above:5 obvious:1 acknowledgments:1 contrast:1 satisfy:1 partonic:1 full:3 caveat:1 respectively:2 doing:1 here:3 following:8 explore:1 mev:2 b2k:2 ansatz:2 alone:1 ratio:1 quite:3 table:4 appears:5 logarithmic:7 q4:2 obtained:9 daughter:2 receive:1 shift:1 study:3 larger:3 allows:2 jvµ:2 rafael:1 stressed:1 usually:3 narrow:3 changes:2 cancellation:1 ma1:1 extra:3 apt:2 expect:1 modulated:2 gluon:2 condensates:3 total:1 plot:3 use:6 λms:3 asymptotic:6 working:2 positive:1 cillero:1 finally:5 next:1 definiteness:1 nucl:4 explicitly:3 come:3 therefore:9 qcd:3 taken:3 means:1 ψf:1 more:6 sort:1 formally:3 duality:1 comparison:2 conclusions:1 under:1 beane:1 validity:1 basically:1 particular:4 hold:3 logarithm:2 states:6 keeping:1 include:2 renormalons:2 equation:2 work:3 believes:1 mv:9 values:12 ms:1 believed:1 example:3 f0:2 f1:2 compare:3 renormalization:2 figure:6 give:7 predict:2 organized:2 pieces:1 high:1 effectively:1 assumptions:1 performed:2 want:4 sense:1 uab:1 breaking:1 quark:1 information:4 discussion:5 acts:1 revisit:1 write:2 those:4 parameter:1 product:3 rept:1 ft:1 description:1 fv:46 singular:1 may:7 after:1 derived:1 demanding:2 constraint:4 fa:10 produce:5 cft:1 aop:1 wave:2 data:3 compulsory:2 constants:29 stress:1 physical:2 counter:1 explicit:2 su:1 think:2 perform:2 so:8 enter:1 representation:1 divergences:2 mrtn:1 holds:1 produces:4 constituents:1 over:2 produced:1 including:1 mentioned:1 existence:4 excitations:2 its:3 group:1 thank:2 fit:3 la:1 energies:1 lo:32 fix:5 xeiqx:1 glozman:3 actually:4 absence:1 strange:1 derivative:1 variables:1 arguments:2 versus:1 non:4 good:1 motivated:1 introduce:2 landau:1 mention:2 effects:3 they:6 flavianet:1 now:3 restrict:2 term:8 finite:1 equality:5 always:2 possibilities:1 disregard:1 found:1 2n:3 out:1 constraints:10 logs:1 hadronic:8 series:2 related:4 sanz:1 decays:4 factorization:1 quantum:4 our:14 approximated:1 beyond:5 eq:8 special:1 mat:1 try:1 mv2:7 network:1 since:12 crucial:1 unknown:1 particles:1 formula:2 ref:7 shows:2 numerical:3 mρ:2 linear:3 cata:1 ecm:1 ısica:1 diagonal:1 standard:1 admits:1 reason:1 formation:1 besides:3 put:1 onoma:1 generate:5 care:1 chiral:3 rule:1 could:7 keep:1 exponentially:1 incorporated:2 vac:10 corrections:25 condensate:3 first:6 andrianov:3 major:1 already:1 symmetry:1 nc2:5 nc3:1 number:5 transform:1 channels:3 ifae:1 directly:1 spanish:1 size:2 given:4 perturbation:7 introduction:3 leading:9 eqs:2 relations:1 their:1 assumption:1 πv:1 listed:1 statement:2 surguladze:1 scheme:1 speaking:1 gives:1 grant:2 favorably:2 continuous:1 somewhat:1 believe:1 than:7 coefficients:2 kind:1 expansions:1 showed:1 double:1 likely:1 correlators:7 regulator:1 matter:1 future:1 were:1 powers:6 perturbative:11 lowest:3 rewrite:1 correction:2 mind:1 spectrum:22 say:1 need:1 seen:2 chetyrkin:1 regulate:1 orders:10 lim:1 latter:1 able:3 note:11 instance:2 emphasis:1 potential:1 take:3 obviously:2 channel:3 accuracy:1 even:2 play:1 resumming:1 though:1 jorge:1 logarithmically:2 simplify:1 bugg:1 multiply:1 analytically:1 why:1 appear:3 observation:1 consequences:1 considered:4 clear:1 sometimes:1 order:30 points:1 principle:3 parenthesis:1 renormalon:1 fact:3 sector:1 saying:1 show:6 random:1 infrared:6 relation:3 d4:1 fine:1 find:3 nlo:7 principal:2 impact:2 q2:51 based:5 knowledge:3 parameters:3 q6:2 state:3 should:11 analytic:1 only:12 going:3 ambiguity:3 indeed:1 ex:1 oct:1 dn:13 do:11 gev:2 notation:1 get:3 de:5 cannot:4 new:1 dt:2 comply:3 dq:1 arxiv:14 fixes:1 yield:2 qf:2 fixed:4 coming:1 fledged:1 coefficient:2 set:5 computed:1 imposing:2 testing:1 respect:2 lnr:1 argued:1 see:6 result:3 enhanced:1 discussions:2 particle:2 αs:57 label:1 αa:3 importance:3 written:3 closed:2 regge:15 simplifying:1 neither:1 available:2 terms:24 ln5:1 ln4:1 however:2 ln3:2 ln2:2 reproduces:1 distinguish:1 article:1 suppressed:4 relying:1 both:2 last:4 peris:4 region:1 decay:33 equal:2 fulfilled:1 ln:55 interesting:1 focused:2 contribution:3 expression:10 masses:11 comes:2 arbitrarily:2 point:5 reasons:1 ca:2 semiclassical:1 pole:1 universitat:1 cancel:1 associated:1 cv:10 ct:1 ensures:1 pt:1 simplification:1 due:4 been:4 strategy:1 int:1 yao:1 much:1 pf:1 change:2 goes:3 expected:1 ph:12 cohen:1 define:2 direction:1 systematic:5 general:3 spain:2 case:8 novel:1 expanded:1 value:2 aim:3 euclidean:9 euler:2 behavior:19 applies:2 cancelled:1 orica:1 2k:6 inspired:2 correspondence:1 sizeable:3 3nc:1 played:1 λqcd:2 refs:1 them:1 ii:16 characterize:1 reads:1 claimed:1 affected:1 mod:1 vanish:1 ie:1 currents:1 stands:2 different:12 etc:1 generic:1 make:1 belong:3 shorten:1 same:6 any:9 another:1 parts:2 split:1 multiplets:1 regime:6 higher:8 independent:3 calculation:2 used:2 assignment:1 trajectories:4 effect:2 hand:5 αs3:2 αs2:8 αs5:2 αs4:2 changing:2 mentioning:2 paredes:1 subleading:6 off:1 catalan:1 nevertheless:5 well:5 roughly:2 analysis:15 antonio:1 without:3 experimental:4 convenient:1 position:1 model:16 parametrically:1 subtraction:1 just:1 being:1 obtain:13 integer:1 yet:5 cut:1 ads:1 infinitely:3 golterman:3 espriu:3 conclude:1 except:1 valid:2 lett:2 consideration:1 match:1 momentum:1 11nc:1 aspects:1 mev2:9 rules:1 phenomenology:1 results:2 possible:9 ope:19 using:5 poses:1 ruled:1 meaning:2 ns:1 appearing:2 like:7 dq2:1 systematically:1 follows:2 performing:2 specific:6 remind:1 imposes:2 either:3 integrals:1 arbitrary:1 become:2 conclusion:1 fv2:9 kiritsis:1 right:1 some:10 back:1 b4:1 understood:2 grup:1 b2:1 moreover:1 matching:7 scales:2 scale:1 tkachov:1 resonances:4 avoid:2 integration:2 considers:1 does:7 eliminate:1 assuming:1 2q2:1 ba:15 q2f:9 equivalent:2 expansion:26 bv:63 although:1 explicitely:1 plots:1 dictated:1 between:4 hadron:1 afonin:4 about:1 would:7 most:1 nnlo:7 dependence:10 o:13 range:1 restoration:1 plus:4 trajectory:2 introduced:3 book:1 electromagnetic:1 cutoff:3 inclusion:3 into:2 within:7 integral:6 bound:3 predictions:3 assess:1 references:1 parton:3 operator:3 uncertainties:2 hep:14 few:1 minkowski:1 assumed:2 strictly:1 there:3 approximate:1 long:1 start:1 low:5 way:9 hooft:4 slopes:1 combined:1 function:9 form:1 enough:2 but:8 catalunya:1 gain:1 adler:8 partially:1 made:2 evident:1 whether:4 type:1 up:7 us:1 below:2 shifman:1 limit:6 dmv:1 problem:6 similar:2 ub:1 aa:4 constant:18 defined:1 abstract:1 denote:2 loops:1 single:1 barcelona:4 av:11 eria:1 again:1 compared:2 nm:1 no:2 whereas:1 nc:35 when:6 vanishes:1 ourselves:1 other:8 role:2 emanated:1 massless:1 unobservable:1 nice:1 generalitat:1 models:3 problems:1 generated:1 important:3 suppression:4 studied:1 included:1 independently:1 practically:1 assume:2 pseudo:2 together:1 casero:1 mass:17 time:2 n2:6 starting:1 having:1 once:1
0704.1418.txt |@word proposition:1 gu:1 sci:1 consider:9 funct:1 global:14 results:3 disc:2 go:1 research:1 contributions:1 compact:7 whose:7 inverse:2 depend:2 γq:9 γp:11 those:1 stable:2 include:1 conjecture:5 abelian:1 very:1 belitsky:1 every:3 lecture:1 condition:10 cobo:1 riemann:2 etudes:1 level:1 notes:1 solution:3 discrete:4 vector:37 small:1 eigenvalues:11 anal:2 attracting:2 neighborhood:7 measurable:2 sign:2 surrounding:1 zero:4 dynamics:1 theory:5 even:1 index:6 nonlinear:1 appear:1 invertible:1 morse:1 section:3 version:3 nez:1 melo:1 above:1 new:4 increasing:1 satisfy:2 respectively:1 palis:1 fernandes:2 component:2 here:1 tangent:1 address:1 strong:1 equations:6 change:2 obtained:2 great:1 study:4 studied:4 sbornik:2 contradiction:1 chicone:1 periodic:1 fourier:1 attractor:6 palais:1 formulated:1 family:1 discontinuous:1 texts:1 univ:1 asymptotic:14 prove:5 positive:7 negative:5 properties:2 therefore:2 associated:2 more:3 sarmiento:1 initial:1 berlin:2 particular:1 goes:1 springer:2 ma:1 equation:1 work:3 det:1 den:1 concepts:1 following:5 conformity:1 example:1 proof:4 dxz:3 give:2 sample:1 sphere:2 yλ:1 degenerate:1 sense:1 spc:10 verlag:3 s2:1 s1:1 holds:1 maps:11 varies:2 pure:1 ordinary:2 parameter:1 map:15 mat:3 singular:3 fx:1 fy:1 after:1 singularities:8 dx2:1 dx1:1 applications:1 plane:8 inst:3 date:1 natural:2 dynamical:2 bing:1 foliations:3 so:4 fundamental:1 definitions:1 order:4 talk:1 restriction:2 dx:5 over:1 satisfied:1 stability:19 paper:5 through:5 existence:6 poincar:1 its:8 llibre:1 tending:1 forms:1 parts:2 systems:2 lp:7 mail:1 main:2 maximal:2 non:3 introduce:1 xg:2 they:4 half:3 singularity:5 now:1 eigenvalue:3 february:1 presented:1 sufficiently:1 each:4 higher:1 subset:3 domain:4 arxiv:1 series:2 idea:1 related:1 extended:2 our:2 orient:1 braz:2 matrix:2 space:1 furthermore:1 since:2 induces:1 denotes:3 may:3 contained:2 max:2 denoted:2 formula:2 rn:3 induced:1 math:13 shows:1 linear:6 state:1 monotone:1 free:4 standard:1 homeomorphism:1 york:2 definition:4 pairs:1 derivation:1 r2:72 r3:1 phrases:1 consequence:1 olech:3 first:1 origin:2 xk:4 already:1 xf:3 primary:1 done:1 precisely:3 open:3 given:6 necessarily:2 introduction:3 system:5 construct:1 their:3 assumption:2 manifolds:3 statement:1 gives:1 ictp:1 sixteenth:1 progr:1 continuous:2 proving:1 foliation:1 qual:2 part:4 authors:7 x2:1 number:1 x1:1 showed:1 sections:1 finiteness:1 determined:1 pairwise:1 boston:1 topics:1 curves:3 affirmative:1 say:4 manner:1 need:1 tells:1 mappings:2 min:1 lin:1 isolated:1 oriented:2 instance:3 without:1 jacobian:3 green:1 circles:2 surfaces:1 trace:6 shall:1 measures:1 birkh:1 eaire:1 connected:1 preliminary:1 phase:2 annulus:1 cima:1 alarc:1 takes:1 dordrecht:1 sometimes:1 coincides:2 xavier:1 fact:1 show:5 solutions:1 basel:1 enough:3 topological:3 kh:1 colloq:1 only:1 geometric:2 integrable:2 circle:3 local:8 hopf:1 do:1 intersect:1 dyz:2 syst:5 de:3 dyp:1 dyq:2 dyn:5 words:1 dy:4 during:1 dt:1 reprint:1 dr:1 ds:5 secondary:1 asterisque:1 transversal:4 fields:19 differential:10 sotomayor:1 discs:1 fixed:1 strengthened:1 takens:1 set:5 exists:1 edition:1 see:6 result:11 portrait:2 dµ:5 contour:1 subject:1 closer:1 fails:1 satisfying:1 subsequent:1 tend:1 written:1 between:1 boundary:2 approach:1 yamabe:3 counterexample:1 notice:2 recently:3 complement:5 however:2 jr:1 jointly:1 key:1 article:2 amer:2 come:1 problem:1 topology:2 both:1 improved:2 kluwer:1 many:1 according:1 connection:3 improves:2 embedding:3 passing:1 whole:3 comes:1 diffeomorphisms:1 point:11 reasons:1 asymptotically:2 parametrization:2 dimensional:1 polynomial:2 moreover:4 throughout:1 second:1 union:1 trajectory:7 been:5 springerverlag:1 interest:1 basic:2 ann:3 empty:1 define:3 determinant:2 moreira:1 birkhuser:1 concerning:1 subspace:1 remark:3 understand:1 generalization:1 bull:2 spirit:1 present:3 bifurcations:3 case:6 exponential:1 value:1 will:9 euclidean:1 suppose:1 behavior:2 applies:1 property:2 leaves:4 planar:10 orientation:1 almost:2 thus:1 yk:3 equal:2 ii:2 ready:1 different:2 author:2 make:1 same:1 any:10 verifies:1 roland:1 proved:3 finite:2 pires:1 difficult:2 used:1 infinity:30 context:2 smale:1 trajectories:4 publ:4 auser:1 cr:3 kept:1 nevertheless:1 markus:3 well:4 thought:1 bifurcation:3 components:1 sets:2 claims:1 usual:1 resp:17 obtain:4 via:1 thanks:1 questions:1 λk:2 multidimensional:1 adv:1 classification:1 lebesgue:2 nilpotent:1 except:1 guti:10 valid:1 easy:1 theorem:16 complements:1 polon:1 real:6 around:2 roussarie:2 inversion:1 know:3 press:1 using:5 unique:1 grenoble:1 necessary:1 like:2 semi:2 qualitative:1 flux:2 either:2 integrals:1 arbitrary:1 works:1 topologically:3 calculus:1 because:1 sequence:4 absolutely:1 some:10 cs:2 contin:3 acad:1 convex:3 bidimensional:1 repelling:2 leaf:3 dimensions:1 normal:1 integration:1 disk:2 providence:2 does:4 linearizations:1 equivalent:2 agreement:1 imaginary:1 injectivity:14 injective:6 proceed:2 about:2 extension:2 introduces:1 repellor:5 addendum:1 pfeffer:2 soc:5 cambridge:2 unbounded:6 image:4 ηt:4 references:1 sard:1 essen:1 van:2 canad:1 strictly:1 there:11 long:1 accordingly:1 appl:2 way:3 austral:1 hartman:2 was:6 function:4 funnel:1 errez:10 jun:1 but:2 reeb:3 properly:1 line:1 true:1 up:1 differentiable:24 below:1 limit:3 autonomous:3 similar:1 called:4 broadened:1 constant:1 defined:8 abstract:1 denote:3 globally:4 exist:4 chau:1 hautes:1 hilbert:1 proceeds:1 us:2 no:2 when:2 field:18 other:2 mathematics:1 problems:1 stay:1 hausdorff:1 important:1 bounded:2 teixeira:1 implies:1 interval:2 curve:1 dσ:22 aranson:1 mass:1 starting:2
0704.1419.txt |@word represent:2 code:4 sci:7 sch:2 chain:10 similarity:2 results:2 four:2 facilities:1 contributions:1 consider:1 layers:14 whose:1 re:1 environment:1 charge:1 investigation:1 those:9 marks:1 td:4 resources:2 applied:2 amplitudes:1 worse:2 sitting:1 very:9 ignatiev:2 grid:1 electron:4 reconstructions:1 fall:2 mixing:1 experimentally:2 difference:5 generalised:1 dim:1 tani:1 vibrational:3 presented:2 tear:2 positions:7 t4:31 large:7 burke:1 science:1 small:2 configurations:1 prevent:2 averaged:3 force:4 disordered:1 periodicity:2 horn:1 approximation:1 second:3 cost:1 design:1 enhancement:1 further:8 odd:1 situated:1 theory:3 even:1 what:1 ccd:1 combined:1 brackets:3 section:1 slight:2 favour:2 consequent:1 cell:15 consistently:2 experiment:19 reconstruction:6 fractional:18 renders:1 contributes:1 lifshits:1 full:2 lee:3 arb:6 exchange:1 perdew:1 respectively:2 spacing:10 grey:1 here:4 atoms:20 behaviour:1 reported:1 operating:1 possibility:1 groups:1 directions:1 along:2 strong:1 table:9 appears:1 change:3 obtained:18 search:4 ref:10 study:15 studied:1 funded:1 ignoring:2 trial:1 rareearth:1 permit:1 real:1 symmetrical:1 fourier:1 studies:1 ignores:2 yo10:1 followed:2 divide:1 clark:1 scales:1 apr:1 vii:1 compare:1 visible:4 total:6 unit:23 readily:1 use:2 cowell:1 wealth:1 would:8 contains:2 quasi:1 next:1 few:2 camera:1 therefore:1 harada:1 until:1 minor:2 more:4 separated:2 flat:1 relax:1 apparent:2 occurred:1 payne:2 surface:26 particular:1 cases:3 iii:1 reconstructed:1 account:1 thanks:1 ml:4 work:7 erwin:3 recon:1 values:5 temperatures:6 ernzerhof:2 example:3 performed:1 dedicated:2 figure:22 calculation:11 attribute:1 allowed:1 sample:4 indicates:9 minimum:5 numbers:1 degenerate:4 uncompensated:1 sharp:3 hydrogen:3 species:1 united:1 end:1 processors:1 optimised:8 provide:1 discussion:2 means:1 positional:1 located:3 hot:1 atomically:1 pure:1 reject:1 ryu:1 edinburgh:1 mat:1 may:2 max:1 spot:9 mapping:1 epsrc:2 wrong:1 produce:2 waves:1 fits:1 andersen:2 horizontal:1 data:4 parallel:2 types:1 curve:1 si2:2 si1:2 attempt:2 coarse:2 effective:1 author:1 lines:1 st:1 annealing:2 daresbury:2 sm:22 correlation:1 fan:2 order:18 worsens:2 typical:1 2sm:1 six:1 office:1 cutoff:4 passivated:1 skews:1 over:10 move:1 vary:3 produced:3 held:1 thermal:1 experiments:5 through:4 same:1 castep:3 still:1 pickard:1 its:1 before:1 regions:2 segall:1 fit:9 how:1 energies:4 lateral:3 facility:1 varies:1 exhibits:1 li:2 better:3 systems:3 persist:1 mail:1 might:6 finer:1 focussed:1 good:5 greater:3 combination:7 investigated:1 number:4 uhv:1 effects:3 they:8 half:12 now:2 structural:6 electrostatic:1 adjacent:1 fully:1 university:2 level:2 zotov:1 did:1 vibrations:12 l2:3 reasonable:3 each:7 found:2 pendry:17 side:2 constraints:1 individually:1 prohibit:1 schemes:1 financial:1 determine:2 interlayer:17 house:1 energy:35 reduce:5 idea:1 carvalho:1 comprises:1 used:18 depositing:2 expect:3 our:9 naming:1 ev:21 out:6 predefined:1 try:1 shown:13 dominates:1 rp:37 space:5 gradient:1 electronic:1 occupied:1 since:4 rev:16 increase:1 hcc:10 acting:1 streaking:2 flattening:1 favours:2 rem:1 suggesting:1 induced:1 cause:2 red:1 shows:7 linear:6 interactions:1 perfectly:1 midpoint:4 given:2 free:2 five:1 base:1 york:3 shi:1 degeneracies:1 interaction:1 koo:1 kubo:1 geometry:6 determining:2 could:3 transition:1 days:1 times:1 silicon:29 length:2 plane:3 place:2 removing:1 retain:1 view:2 onto:2 first:11 degree:1 inspected:1 major:1 initial:2 features:1 symmetry:1 afer:2 primary:2 done:1 long:5 another:1 carry:1 impossible:1 thick:1 open:1 size:3 differ:1 checked:1 temperature:11 service:1 their:4 introduction:1 top:17 system:9 approximately:2 needed:2 confirming:1 1d:1 calculations:13 white:1 variational:1 structures:35 unambiguously:1 gives:5 shifted:1 johnson:1 ix:1 part:1 simulate:1 authors:2 kept:1 spacings:17 than:10 begins:1 plausible:1 scheme:1 kindly:2 optimise:1 stm:7 require:1 see:7 final:4 preparation:1 shin:1 computer:1 intensities:4 were:23 identical:2 monkhorst:2 providing:1 prospect:1 ehret:2 rac:3 alongside:1 curves:37 randomly:1 say:1 hong:1 manner:1 cleaned:1 apparently:1 any:4 min:1 responsible:1 isolate:1 si:18 note:1 high:4 without:3 forces:3 sakurai:1 performance:2 coincide:2 worsening:1 channel:3 honeycomb:21 surf:6 closer:1 multiple:2 allow:2 investigations:1 incidence:1 most:2 ordinates:1 errors:1 significant:2 quantitative:2 phase:2 acknowledgements:1 extremely:1 why:1 appear:2 reduces:1 considered:4 calculated:20 proud:2 metal:10 katayama:1 points:2 hellberg:1 clean:2 typically:2 fact:1 gain:1 drastically:2 particularly:2 somewhat:1 show:10 text:1 random:1 davila:1 evaporation:1 3x2:4 carefully:1 earth:5 scatterer:1 heavens:1 fine:1 indicate:1 jona:2 datasets:1 ratio:5 parameters:2 varied:1 explain:3 produces:1 supercells:3 should:2 being:2 only:4 black:1 deepest:1 factor:22 admixture:1 various:4 anneal:1 columns:1 do:4 dominant:1 above:3 bonds:1 beams:2 de:1 overall:4 beam:3 cannot:3 nearly:1 combinations:1 during:5 increasing:1 substrate:2 course:1 arxiv:1 summary:2 investigate:2 common:3 contain:1 including:1 fixed:2 aem:1 atomic:8 reveals:1 set:3 acquired:1 passivation:2 maximum:3 observed:6 kleine:1 intensity:14 individual:1 result:2 enhanced:5 close:1 optimum:3 outward:1 best:5 techniques:3 surfaces:2 vertical:1 pattern:20 struction:1 samarium:30 sites:4 symmetric:1 enough:2 determined:1 tesselation:1 between:11 takeyama:1 sited:1 tolerance:2 mainly:1 wide:1 available:1 variability:1 creating:1 labelled:2 missing:5 importance:1 comp:1 weak:1 however:2 spectroscopic:1 comm:1 huang:1 configuration:1 mbar:1 improve:1 suggested:5 both:12 improved:1 many:5 region:1 acknowledge:1 against:1 agree:1 sensitive:6 improves:1 hansmann:1 contribution:1 expense:1 regarded:1 experimental:8 con:1 karlsson:1 minima:3 co:2 tong:2 conclude:1 simple:2 adatoms:1 period:1 sampling:2 dimensional:4 visually:2 coordinates:1 quinn:1 ordered:2 throughout:2 epcc:1 justifies:1 finally:1 gierer:2 instrument:1 three:7 been:13 genetic:1 much:5 deposited:1 logarithmic:1 minimise:1 ertl:1 fig:13 concentrated:1 direction:2 contribute:2 corresponding:1 deeper:3 influence:1 thousand:1 formed:2 gap:1 bulk:25 determination:1 representative:1 flashing:1 present:3 case:3 reciprocal:4 pacs:1 solid:1 appearance:1 single:1 value:10 will:2 near:1 programme:1 viii:1 freely:1 investigating:1 procedure:1 pack:2 resolved:1 layer:40 changed:1 find:1 almost:7 vi:1 thus:2 site:12 discrepancy:3 iv:1 ii:4 strain:1 bias:1 cond:2 ium:1 cook:1 zhang:1 sits:2 technology:1 nielsen:1 grown:1 seitsonen:1 different:6 suggests:4 perhaps:1 suggest:3 coexisting:1 cross:2 elevated:1 beside:1 shifts:1 overlayer:1 units:6 several:4 breaks:1 independent:2 literature:2 peaks:1 optimisation:10 upon:5 effect:3 domains:2 kim:3 lower:11 supports:1 so:3 nevertheless:1 changes:1 well:1 analysis:7 patterns:2 calibrated:1 simulated:1 position:4 model:7 sakamoto:1 pseudopotentials:1 less:2 increasingly:1 able:1 accurate:1 fingerprint:2 obtain:1 stored:1 voltage:1 integer:19 scattering:4 reduced:1 desorbs:1 monitored:1 candidate:3 vibration:1 workers:3 point:1 had:1 coplanar:1 improvement:5 source:1 setting:1 location:2 relevance:1 input:1 extensive:1 match:4 gave:1 kingdom:1 insensitive:4 around:3 replicate:1 narrower:1 showing:2 indicative:1 makes:1 background:3 vacuum:2 using:17 apart:1 like:12 alternatively:1 qualitative:2 alkali:5 chamber:1 steps:3 either:1 accuracy:1 disorder:8 signal:1 cooled:1 therein:3 right:2 grids:1 supercell:6 some:9 debye:11 respect:1 images:5 altered:1 little:1 matching:1 provided:4 entropic:1 quenching:1 proceeding:1 lead:1 bottom:5 rotenberg:1 leaving:1 normal:1 recorded:1 per:1 moon:1 does:3 lattice:1 yields:1 moderate:1 refer:1 noise:2 run:1 indicated:2 bc:1 dangling:1 l1:6 agreement:7 expansion:1 infra:1 pressure:1 step:3 ratios:1 offset:1 proceed:1 comparison:5 about:3 rare:2 carried:4 basis:1 introduces:1 dependence:1 o:4 simulation:1 range:10 repulsion:1 discard:1 introduced:1 slightly:5 heater:1 raised:1 computational:3 presence:3 h3:33 into:4 within:5 due:2 5dd:1 mansour:2 sufficiently:1 significantly:4 terminated:1 fill:1 log:1 r30:1 support:1 there:15 spots:59 natural:1 kuzmin:1 low:4 way:2 labelling:1 resulted:2 slowly:1 was:23 etc:2 elsewhere:1 form:2 offer:1 attempted:2 atop:1 differences:1 but:5 repeated:4 magnitude:1 repeatedly:1 atom:39 convergence:4 ex:1 line:1 removed:1 hg:1 made:2 places:1 mtrl:1 cells:7 smooth:1 up:1 quantitatively:3 willis:1 crystal:2 below:4 uk:3 similar:10 clear:1 regimes:2 hashizume:1 ac:1 ab:24 associated:1 ag:2 computing:4 int:3 minutes:2 mirror:3 am:2 metals:5 evidence:4 landscape:3 exist:1 laboratory:2 proceeds:1 defines:1 titterington:1 compared:6 us:2 national:1 no:4 na:1 whereas:2 wavefunction:1 when:2 sampled:1 leed:49 other:4 compares:1 details:1 department:1 coherence:1 poor:2 perpendicular:2 quartz:1 calculating:1 separate:4 initio:24 distance:1 matt:1 variation:7 prepared:1 registry:2 coverage:2 included:3 dense:1 song:1 structure:50 searches:1 jeon:1 independently:2 regime:2 coupling:1 physics:1 factors:15 diffraction:5 together:3 validation:1 lett:6 degrade:1
0704.1420.txt |@word represent:1 rev:2 integration:1 four:2 gf:1 mild:1 grateful:1 go:2 gk:1 3a5:1 gh:1 certainly:1 inverse:1 graph:17 concerned:1 nonlocal:1 specialising:1 finally:1 gu0:1 th:1 under:1 divergent:12 case:1 g2:1 choice:1 wishes:1 figs:1 redefinition:2 logarithmically:1 arrange:1 hamiltonian:13 did:1 hamitonian:1 gui:1 list:1 vector:3 indices:3 tru:1 work:1 sign:2 second:3 bilinear:1 index:2 abc:39 abd:1 stands:1 abi:2 sum:1 find:1 above:1 obvious:1 method:1 edited:1 lee:1 component:1 here:4 directions:1 equations:1 institute:1 involved:1 study:2 p2:3 action:3 hospitality:1 cancellation:1 uniquely:2 formulated:1 4a1:4 extra:1 apr:1 addressed:1 decrease:1 propagators:3 derivatives:3 use:7 asymptotic:1 would:2 contains:3 negative:1 nucl:3 qcd:4 theoretical:1 diagrams:4 formally:2 ip0:1 appendix:2 everywhere:1 known:1 iii:4 must:1 k02:3 f0m:1 science:1 equation:3 mn:1 f0i:10 remain:1 values:1 cam:1 acj:1 following:1 example:3 renormalization:11 figure:32 give:3 permutations:1 organized:1 purposes:1 lorentz:1 allowed:1 unphysical:1 rescaling:1 occur:1 ena:1 regularization:1 feynman:8 δim:1 till:1 sij:2 ordinary:1 frenkel:1 counterterms:1 may:1 containing:1 diagram:1 applications:1 coming:1 lat:1 constants:3 effective:2 light:1 counter:6 lines:14 so:6 δmj:1 order:10 δmn:1 gauges:1 through:1 argued:1 existence:1 still:1 its:3 thank:1 how:1 energies:1 fix:2 degrees:1 fig:2 fij:7 mail:2 hidden:1 might:1 eur:1 eventually:1 non:3 combination:1 zagreb:1 tji:3 cei:2 they:3 yq:2 formulating:1 now:2 christ:1 term:4 2p:2 2q:1 university:1 arrows:2 l0:3 each:3 mean:1 em:5 en:1 ei:21 ej:2 doing:1 energy:9 society:1 combining:2 loops:1 ghosts:4 eq:2 out:4 emerges:1 shown:1 matrix:2 space:1 kummer:1 is1:1 lagrangian:9 trz:1 c37:1 evaluation:3 integrated:2 theory:1 divergence:2 guess:1 free:2 quite:2 difficulty:1 put:1 interaction:1 retained:1 ministry:1 could:1 transition:2 introduction:1 δin:1 δij:7 δik:4 consequence:1 retain:2 throws:1 first:2 features:1 xl:2 number:1 contributions:1 iq0:1 2a5:2 fija:1 another:1 open:1 given:1 antighosts:1 unitarity:1 leading:1 internal:1 approximately:1 aa0:7 john:1 final:1 grant:1 continuous:1 transverse:3 part:6 eliminated:1 representing:1 royal:1 determines:1 require:3 aai:5 zero:3 aaj:1 future:1 counting:1 minus:1 ann:1 vijk:5 conjugate:5 need:1 seem:1 orders:1 symmetrized:1 convenient:1 self:6 mills:1 lij:3 nonstandard:1 note:4 k0:2 take:1 electric:2 opposite:1 involving:2 connected:1 acknowledgements:1 inserted:1 class:7 appear:1 γi:1 kj:4 ki:5 flow:1 vertices:5 graphs:16 proceedings:1 yang:1 physics:1 ambiguities:2 momenta:2 particularly:2 supported:1 gauge:15 solutions:2 keywords:1 d4:4 αk0:2 d3:4 make:1 q0:2 q2:2 spite:1 dp0:2 outside:1 should:1 only:3 explicitly:2 black:1 factor:4 local:1 do:3 dyy:2 notation:2 get:3 gei:1 dr:1 differentiating:1 fields:3 arxiv:1 doubled:1 croatia:2 fixed:2 ik0:4 exists:1 δjk:5 a9:11 eia:1 depends:1 individual:1 result:2 violet:5 brst:3 mentioned:1 tend:1 rudjer:2 closed:1 between:4 invariant:1 irb:1 conditions:2 terms:12 cucchieri:2 however:1 vanishing:1 δab:12 distinguish:1 iki:1 come:1 ikn:2 ikm:2 prescription:1 contract:1 april:1 figures:2 argue:1 comes:1 relevant:1 conclude:1 simple:2 had:1 cg:3 cd:1 dimensional:1 taylor:5 anti:1 cancel:5 respect:1 cqi:1 lattice:1 three:8 been:2 schweda:1 cauchy:1 expected:1 pk:2 pi:1 choose:3 corresponding:1 ordering:1 confinement:1 external:10 last:1 denote:5 present:1 applied:1 p0:5 pacs:1 defining:1 value:4 choices:2 will:4 error:1 cancelled:3 ultra:5 loop:6 real:1 seven:2 unitary:1 πi0:1 vi:7 damtp:2 vn:2 ii:7 auxilliary:1 ic:2 technology:1 ig:1 different:1 etc:1 divergences:10 lett:1 same:2 read:1 parts:3 higher:1 see:2 numerical:2 upon:1 hand:1 πij:2 purpose:1 necessity:1 invariance:1 off:1 colour:3 well:1 without:1 components:1 drawing:1 just:1 being:1 obtain:3 assigned:1 sources:2 questions:1 λk:1 λi:2 point:3 seems:1 source:6 potential:3 attractive:1 iπ:1 π0i:1 momentum:4 resolved:1 rules:6 iη:7 appendices:1 using:2 boˇskovi:1 austria:1 either:1 integrals:4 gluon:10 because:2 some:3 b4:1 examples:1 b2:1 b3:1 ick:2 gvi:2 dimensions:1 πmn:1 πmi:1 comments:1 instantaneous:1 contributing:4 does:4 tmj:1 proc:1 tmn:1 power:1 l1:5 cgf:11 bt:1 refers:1 freedom:2 mohapatra:1 zwanziger:2 πm0:1 renormalizing:1 cambridge:1 into:1 integral:2 suppl:1 lies:1 δuj:1 references:1 operator:1 proportional:1 hep:2 there:10 question:1 u0:9 strict:1 was:2 propagator:3 vienna:1 function:6 πq0:1 complete:2 form:10 hr:1 m2:1 but:5 pj:2 line:2 applying:1 2πi:2 us:1 ui:12 uk:2 problem:1 calculated:1 b1:1 ac:1 ab:9 constant:5 ai:31 abstract:1 aj:6 influence:1 convergent:1 exist:1 formalism:6 identities:3 happen:1 physical:1 dotted:1 no:3 dashed:1 field:20 tin:1 other:4 republic:1 tij:6 spatial:2 department:1 mathematics:1 a11:3 a10:2 vertex:10 a1:8 a0:41 a3:5 a2:7 a5:22 a4:7 a7:13 a6:14 included:1 a8:11 ghost:11 coupling:2 coulomb:22 assume:1 resolution:1 factors:2 4p:1 time:5 4g:1 requires:1 original:3
0704.1421.txt |@word lack:1 invent:1 al10:1 program:1 those:1 th:4 marks:1 vej:1 fynbo:6 very:4 every:1 newar:1 vlt:2 accompanying:1 accidentally:1 small:2 woosley:2 upper:3 progenitors:1 rate:1 copenhagen:2 1998bw:3 what:1 current:1 new:8 ever:1 consisting:1 compact:4 explosion:1 dwarf:1 here:1 hundreds:1 objects:2 l25:1 others:1 directions:1 along:2 strong:2 obtained:1 institute:1 controversy:1 involves:1 via:1 spatially:1 hst:1 classification:5 apr:1 apj:11 extinction:3 plot:1 would:2 remains:1 faint:2 arms:1 few:2 therefore:1 recommend:1 type:7 more:1 populations:1 under:1 emission:4 clue:1 commenced:1 known:1 hole:1 iii:2 none:1 valle:2 reviews:1 levan:2 obvious:1 abandon:1 prompt:2 share:1 high:2 slit:1 archetypal:1 want:1 allowed:1 exclude:1 keep:1 paradigm:1 rays:1 rather:1 discussion:1 zhang:2 gcn:2 delay:1 how:2 hjorth:2 option:1 highz:1 galactic:1 may:1 earlier:1 variant:2 mapping:1 wrong:1 explored:1 ricker:1 data:1 ambiguous:1 short:9 remember:1 belczynski:2 6th:1 spectra:1 cosmology:1 so:1 sn:15 correlation:1 lined:1 9ab:1 balmer:1 paper:1 argued:1 galaxy:8 observational:1 regions:1 le:1 thank:1 located:1 actually:1 detected:4 fig:3 covered:1 might:1 into:1 them:1 band:1 hertfordshire:1 discuss:1 association:2 easily:1 february:1 university:2 bursts:15 arrow:1 luminosity:1 accompanied:1 european:2 acknowledges:1 significantly:1 dichotomy:1 ed:1 energy:1 grbs:8 sne:3 expect:1 category:1 borderline:1 since:1 rz:1 research:1 fellowship:1 cobb:2 suggesting:1 newly:1 issue:1 foreground:2 ofek:2 derived:1 galaxies:3 standard:1 completely:1 formation:5 imaging:1 members:1 lag:1 could:4 times:1 produce:2 massive:6 hence:1 think:2 origin:2 probability:1 synonymous:2 number:1 channels:2 l34:1 another:2 open:1 angular:1 illustrate:1 given:1 necessarily:1 needed:1 introduction:1 revealed:2 top:1 least:1 their:2 observations:3 white:1 scheme:5 too:1 accompany:1 collapse:2 optical:3 authors:1 than:3 observed:2 holland:2 double:1 require:1 submitted:6 were:1 ssfr:2 risky:1 mind:1 spectrum:3 unlikely:2 need:1 seen:2 clearly:1 ray:2 mechanism:1 added:2 relatively:1 centre:3 object:1 falls:1 most:2 eight:1 acknowledgements:1 extremely:1 class:2 macfadyen:2 considered:1 clear:1 atypical:1 looked:1 kr:1 definitely:1 floc:1 lying:1 juliane:1 bright:3 fugazza:2 find:1 o:1 merger:3 delays:1 should:2 only:2 black:1 do:1 king:2 meif:1 words:1 altogether:1 denmark:1 arxiv:1 predicted:2 fainter:3 mergers:1 burst:7 lifetimes:1 detection:1 college:1 luminous:2 review:1 envisage:1 between:2 operationally:1 encounters:1 available:1 uk:1 nature:7 supernova:1 however:4 key:1 suggested:2 both:1 panels:1 last:1 limits:2 region:3 equal:1 against:1 distinction:1 argue:1 nearby:3 among:1 co:1 point:2 simple:1 community:1 ct:1 complication:1 fors2:1 addition:2 due:1 been:6 yam:3 much:1 progenitor:4 expected:1 ph:5 gal:3 present:1 reddening:1 case:4 curie:1 supernovae:1 pacs:1 heger:2 operational:1 aip:1 near:2 superposed:1 della:2 real:1 phenomenological:1 characteristics:1 xiao:2 ii:3 contract:1 conf:1 ic:3 different:1 confirmed:1 suggest:2 make:1 same:1 any:2 several:1 neutron:1 higher:1 jakobsson:3 levels:1 dust:1 tighter:1 recent:1 lower:1 scenario:1 framework:1 vanderspek:1 well:1 roughly:1 bohr:1 without:1 flags:1 components:1 position:1 model:3 johan:1 summer:1 starforming:1 proposed:4 less:3 facts:1 death:1 preprint:1 absorption:1 had:2 realize:1 location:2 momentum:1 resolved:1 l85:1 around:1 possible:1 l89:1 dark:1 using:1 fryer:2 collapsar:3 like:1 niels:1 specific:1 hosts:3 either:2 terminology:1 right:1 people:1 back:1 sight:2 redshifts:2 images:1 lead:1 broad:1 overlap:1 magnitude:1 hatfield:1 moderate:1 proc:1 core:1 schaefer:2 each:1 stellar:2 host:13 bw:1 although:2 found:2 obscured:1 properties:3 panel:1 about:1 rare:1 ob:1 recognized:1 gamma:3 2002ap:1 raised:1 redshift:2 image:1 within:4 down:1 rendering:1 gehrels:2 references:1 donaghy:2 marie:1 herts:1 support:1 spiral:3 long:10 strict:1 low:5 stars:2 astrophysics:1 was:4 forming:3 but:4 astro:5 pj:1 mnras:2 line:3 true:1 made:1 places:1 whether:2 inside:1 uv:2 us:1 maries:1 limit:1 spectroscopy:1 site:2 problem:2 2006aj:1 similar:3 display:1 strongly:2 associated:3 defined:1 abstract:1 myr:1 deep:1 general:1 duration:8 warning:2 distributions:1 intra:1 physical:1 metallicity:2 ni:1 no:5 when:1 field:2 other:1 grb:25 briefly:1 star:9 occurred:1 chance:1 important:2 afterglow:4 astronomy:1 lane:1 values:1 required:1 ratios:1 fact:1 time:3 observables:1 original:1
0704.1423.txt |@word positions:1 sch:1 pointing:1 magnetic:1 results:21 kernphysik:1 leads:1 eds:1 higher:1 lewenstein:1 consists:2 follow:1 remarkably:1 terms:3 calculate:8 concerned:1 groundstate:2 does:3 under:2 td:4 include:1 presentation:1 cm2:3 ta:1 ionizing:2 straightforward:1 very:1 peaks:8 springer:2 choice:5 prog:1 electron:28 orner:2 worst:1 experimentally:1 difference:3 exact:20 treating:1 entire:1 lindner:2 level:1 did:1 issue:2 solution:16 large:4 item:2 vector:6 nogueira:1 small:2 becker:1 mo:1 employing:2 consistent:2 sin2:2 pulse:13 approximation:24 fold:1 second:5 cost:1 haan:1 equal:1 chen:2 qualitatively:1 chem:1 expressions:1 linear:1 even:1 established:1 sum:4 celebrated:1 current:3 sequential:6 lein:2 above:4 obvious:2 increasing:1 method:1 body:3 exchange:13 equals:1 orbitals:9 atoms:1 ionization:48 focused:1 inversion:1 separation:1 strategies:1 alone:4 path:1 along:1 strong:4 equations:3 change:1 obtained:5 items:1 study:4 studied:1 allows:3 eberly:1 preferentially:1 resulting:3 fourier:8 hump:1 via:5 followed:1 scales:1 apr:1 aps:1 explained:4 prefer:1 highly:2 scaled:2 visible:1 addressed:2 pp:7 sgn:2 total:1 wilken:2 planck:1 linearly:2 use:3 takes:1 would:2 probabilities:6 uncritical:1 tdse:16 few:3 depicted:4 therefore:6 vi:1 associated:1 until:1 possible:1 more:7 successful:1 thus:8 ǫee:3 odinger:12 elec:1 insufficiency:2 normalized:1 particular:1 known:4 central:3 cases:1 hold:1 iii:6 easiest:1 high:2 account:2 valued:1 integrating:1 equation:5 work:8 reproduce:2 remain:1 fock:1 values:3 publications:1 about:2 modifies:1 example:1 numbers:3 ions:1 challenging:1 indicated:1 solved:2 process:7 neglected:2 states:3 performed:1 sharp:1 lacks:1 dominant:1 nonvanishing:1 respective:5 strongest:1 goal:1 fortunately:1 discussion:2 holds:2 feature:2 far:1 varies:1 numerous:1 opt:3 instead:3 parameter:1 sin:1 sequentially:1 product:12 de:1 description:3 information:2 transforming:1 max:1 recollision:3 after:7 dx2:8 dx1:7 applications:1 produce:1 koval:1 response:1 becke:1 stress:1 short:2 effective:13 negligibly:1 twoelectron:1 spectra:6 explicit:1 deutsche:1 assign:1 cannot:1 so:3 fundamental:1 tddft:13 representation:1 order:3 typical:4 maquet:1 help:1 noteworthy:1 over:3 move:1 mainly:1 choose:1 entity:1 experiments:2 pulses:15 affect:1 mentioned:1 still:1 its:2 derive:2 rapidly:1 symmetry:3 how:1 chosen:2 rubio:1 exhibits:1 actually:1 better:1 systems:1 densityfunctional:1 derivative:1 hidden:1 schmidt:2 easier:1 associate:1 non:11 good:4 runge:2 universality:1 practice:1 fig:17 introduce:1 bound:5 figueira:1 effects:1 they:6 half:1 jesus:1 restrict:1 february:1 gets:1 equality:1 tonian:1 always:1 reasonably:1 presented:2 leading:1 sufficiently:2 differing:1 reasonable:2 each:1 found:1 2n:1 difficult:1 side:4 reproducing:2 ei:4 significantly:2 engel:1 ee:2 energy:2 challenges:3 investigated:2 measure:1 quantum:1 our:3 ew:1 eq:14 special:1 out:2 leave:3 shown:9 dominates:3 space:15 fu:1 since:6 rev:13 projected:1 cancels:1 particles:4 may:1 ble:1 rm:1 ref:5 correct:2 burke:1 earlier:1 theory:5 interactions:1 favored:1 differ:1 possibility:1 standard:1 assures:1 van:2 inevitable:1 atzel:1 interaction:6 entirely:2 determining:1 times:3 motion:1 turn:2 length:1 period:1 exponentially:1 sandner:2 dft:6 hence:3 neglect:1 first:5 xj:2 major:1 xi:5 features:3 probability:13 number:2 approximate:2 microscopes:1 will:1 multiplying:2 least:2 directly:1 spinsinglet:1 suffices:1 passes:1 given:6 checked:1 exists:1 likely:2 their:3 introduction:2 unknown:2 system:10 construct:4 needed:1 returns:3 assumption:2 calculations:5 scheme:3 structures:1 final:3 gives:5 correlations:3 statement:1 asymmetric:2 acquire:1 serve:1 shortcomings:1 task:1 larger:1 optical:1 favorable:1 manifestation:1 x2:62 x1:59 than:4 polarized:2 accordance:1 double:34 approximations:3 see:10 determined:1 intensities:15 were:2 bauer:4 tion:1 insignificance:1 exhibit:2 lowest:1 addressing:1 comput:1 lines:1 spectrum:1 seen:4 confirms:1 clearly:3 detour:1 zero:7 depending:1 latter:2 responsible:1 mechanism:2 polarization:1 k2:22 k1:22 potential:28 finding:2 new:1 detector:1 canonical:2 accuracy:2 butterfly:2 towards:1 unless:1 shall:1 correlation:25 oneelectron:1 singlet:3 germany:1 significant:1 quantitative:1 phase:13 knee:2 measured:1 calculated:12 partition:1 ks:18 reaction:1 electrons:30 principle:2 exp:1 hamil:1 velocity:1 left:3 physics:1 fact:1 dou:1 precise:2 intensity:10 show:3 timedependent:2 supported:1 dipole:3 purely:3 gauge:1 hohenberg:2 longer:1 trivial:1 find:3 ground:1 tdhf:4 removed:1 knowledge:2 parameters:2 state:4 only:8 explicitly:1 postfach:1 molecules:1 factor:3 local:2 do:1 insight:1 ionizes:1 dk:3 dependent:18 express:1 yielded:1 liu:4 ones:1 dx:4 drawn:1 during:2 dahlen:1 interelectron:1 becomes:1 areas:1 reveal:1 processes:4 densities:13 fields:2 arxiv:1 fixes:1 yield:6 summary:1 ocking:1 investigate:2 paper:1 source:1 through:1 cycles:3 leeuwen:2 set:3 art:1 reference:4 acquired:2 signs:1 relative:3 namely:2 individual:1 sec:17 result:1 b864:1 close:2 uncorrelated:17 contour:4 phases:2 dk2:2 interacting:2 dk1:2 functionals:19 symmetric:1 importance:3 behind:1 projecting:1 envelopes:1 between:3 progress:1 boundary:1 approach:9 recently:1 reproduced:4 parent:1 kohnsham:1 initially:1 weak:2 however:5 vanishing:3 comm:1 distribution:1 both:9 interpretations:1 many:4 taking:2 conclusions:1 reproduces:2 dated:1 faces:2 attributes:1 comes:1 otherwise:2 gxc:15 simple:1 cf:5 dimensional:4 written:1 respect:2 throughout:1 ensures:2 dorn:1 described:5 aˆ:1 addition:1 due:11 been:2 underlying:1 much:1 damping:1 interest:2 reinhard:1 ph:1 universal:1 trons:1 direction:4 enable:1 corresponding:4 observable:7 clarity:1 sufficient:3 photon:1 keeffe:2 forschungsgemeinschaft:1 understand:1 external:2 gross:6 evidence:2 spin:3 present:3 case:7 laser:34 pacs:1 harder:1 value:2 transformation:2 aim:1 while:7 involved:3 exist:1 ization:1 identical:3 vc:9 almost:1 ip:3 refs:1 kohn:7 iv:4 ii:8 reads:1 itself:1 vx:3 helium:12 currents:1 orbital:14 different:15 verified:2 make:1 lett:8 same:9 complex:9 split:1 widely:1 units:1 constructed:2 sham:5 independent:1 calculation:5 used:7 rescattering:4 dreizler:1 faria:1 numerical:2 effect:1 hand:4 driven:1 ion:52 morisson:1 moving:1 potentials:5 frequently:1 hartree:3 normalization:1 recent:1 relies:1 lower:1 suitable:3 schr:13 scenario:3 sanpera:1 no:2 well:5 analysis:1 consistency:1 position:3 model:13 maxima:2 distances:1 just:1 less:1 being:3 generally:1 accurate:2 paragraph:1 obtain:2 rudenko:1 shape:1 formulated:1 atomic:1 suraud:1 using:21 momenta:11 underline:1 previous:1 note:2 density:62 conclude:1 seems:1 discontinuous:1 interested:2 transformed:3 treatment:5 easy:1 theorem:2 input:1 mod:1 heidelberg:3 momentum:91 real:2 bio:1 sities:1 insensitive:2 around:2 depends:1 showing:3 term:2 collisionally:2 increases:1 grid:3 mol:2 integer:2 part:2 accepted:1 apart:1 necessary:1 like:4 particle:1 shaped:1 pohl:1 follows:4 reduces:3 adiabatic:2 serves:2 facing:1 marques:1 yields:9 integrals:3 mentum:1 become:1 valence:1 soft:3 essential:2 depend:1 nsdi:12 velocities:4 methods:1 classical:1 exposed:1 discontinuities:1 successfully:2 understood:1 deduce:2 duration:1 neglecting:1 ourselves:1 pronounced:1 lead:3 frees:1 contributing:1 critical:1 provides:1 nion:5 imply:1 demonstrated:1 freed:14 core:3 rep:1 infinitely:1 equivalent:2 agreement:4 expansion:1 broken:1 step:1 ummel:1 although:2 served:1 plots:4 approximating:7 exciting:1 properties:3 comparison:4 vh:2 actual:1 dependence:1 o:2 practical:1 distinct:3 range:1 a2:1 repulsion:2 introduced:3 exchangecorrelation:3 therein:4 computational:1 into:3 within:3 functional:29 three:2 pair:24 appropriate:1 right:2 references:4 determine:2 formidable:1 operator:1 oter:1 theoretically:1 institut:1 area:3 artifacts:1 assumed:1 there:1 convincing:1 transform:2 long:1 smoothing:4 occupy:1 conservation:3 way:1 was:9 propagator:1 function:19 considerably:1 form:1 differences:1 but:5 construction:2 ullrich:3 ho:1 cycle:9 atom:13 highest:8 he:7 constitute:1 made:2 qualitative:5 he2:14 characteristic:2 maximum:1 us:3 ur:1 frequency:1 minor:1 demonstrate:2 problem:6 define:1 similar:3 display:1 strongly:1 constant:2 devise:1 ki:3 describe:1 general:3 single:5 ensuing:1 encompass:1 hamiltonian:1 distributions:15 approximated:1 regime:3 moshammer:3 again:1 compared:6 nm:12 locality:1 amounts:1 wavefunction:22 when:11 field:3 setting:2 role:1 spatial:5 conclusion:1 poor:1 polar:1 denote:1 calculating:3 separate:1 centered:2 drift:2 stay:1 deficiencies:1 meaning:1 important:2 peak:11 unattractive:1 included:1 structure:8 feasible:1 krausz:2 correlated:21 auxiliary:2 coulomb:3 requires:2 required:2 berlin:2 equivalently:1 time:23 n0:1 observables:7 starting:1 original:1
0704.1425.txt |@word concept:1 partial:1 pointing:1 ali:1 rev:18 magnetic:9 separates:1 blanchard:1 results:12 leads:2 ginzburg:2 extrapolates:1 gang:1 grateful:1 tomioka:1 follow:1 gl:8 contributions:1 hold:1 calculate:1 description:1 mendels:1 quadruple:1 environment:1 finally:1 does:3 those:1 90k:2 cahn:1 tc:64 case:2 belonging:1 amplitudes:1 baggio:1 far:2 conditions:1 powders:2 kwei:1 cooh:1 arb:1 naoto:1 level:4 michael:1 solution:1 occurs:1 large:4 science:2 small:6 provided:1 kishio:2 lines:1 upper:13 disordered:4 concise:1 colossal:1 consistent:1 estimates:1 zero:12 dried:2 chen:1 further:2 ter:1 acid:1 linear:3 what:3 overdoped:9 section:2 selected:1 remain:1 current:1 experiment:1 above:10 flowing:1 new:2 falling:1 method:4 nakamura:1 thin:1 quenched:1 lee:4 degree:2 respectively:1 loose:1 here:2 bi:1 strontium:5 lu:1 explore:1 olica:1 kitazawa:1 groups:1 others:2 along:1 strong:2 superconductor:7 obtained:5 niter:1 instituto:1 tunneling:1 study:1 studied:2 allows:1 reason:2 resulting:1 yield:1 usually:1 resonance:1 composed:1 9k:3 adjustable:1 statt:1 figure:1 mobility:2 nagano:1 merely:1 explained:2 deals:1 highly:1 anomalies:3 total:3 linearly:1 plot:3 conventional:7 takes:3 would:1 distinct:2 positive:2 contains:1 charge:20 next:2 few:1 therefore:1 taken:5 associated:2 type:1 theoretical:1 diagrams:1 more:4 becomes:1 hoffman:2 emission:1 curvature:3 site:3 berlin:2 particular:1 known:3 cases:1 iv:1 iii:2 supercond:1 sample:20 account:4 room:3 cluster:1 ml:1 equation:1 work:1 ρm:23 nanoscale:1 cat:1 reproduce:1 oxide:1 ch3:1 values:16 temperatures:12 starts:1 following:2 numbers:1 ions:1 wang:2 indicated:2 process:1 anomalous:2 proportions:1 acetic:1 states:1 percolated:1 performed:3 sharp:1 counting:1 la1:4 la2:7 yang:1 respective:1 rays:2 andersen:1 goal:1 carriers:2 provide:1 discussion:1 occur:1 regions:13 how:4 pure:2 instead:1 b73:1 mat:2 tonset:6 may:11 after:2 derived:1 billinge:1 cation:1 diagram:2 davis:2 produce:3 tranquada:1 islands:6 data:7 response:2 abe:1 succeeded:1 sr:8 spectra:1 nernst:1 departure:1 melikyan:1 misra:1 vieira:1 perhaps:1 simmonds:1 ones:1 so:1 inhomogeneity:2 order:3 displays:1 reproduced:1 interpretation:2 shield:1 produces:1 indeed:1 over:1 displayed:1 interpreted:3 experiments:7 through:2 still:1 its:4 ono:1 chemical:5 group:1 acknowledge:1 hirschfeld:1 τc:1 li:1 forms:1 detected:3 guillen:1 degrees:3 differently:1 insulator:2 nakayama:1 derivative:4 might:1 non:11 good:2 janeiro:6 evolution:1 landau:2 mention:1 they:5 half:1 own:1 tetragonal:1 nov:1 easily:1 february:1 finite:1 oxygen:1 presented:2 identified:3 mode:2 reasonable:1 each:10 found:1 loram:2 side:1 characterized:4 mean:1 homogeneous:4 weighted:1 financial:2 another:1 formulate:1 series:2 gaussian:6 inhomogeneous:3 ando:2 literature:1 expect:1 substantially:1 our:5 transitions:1 thick:1 fu:1 gonzalez:1 travels:1 shown:4 matrix:1 space:1 rep:1 since:2 induces:1 similarly:1 extrapolate:1 performs:1 pan:1 got:1 correct:1 shows:6 8k:3 dagotto:1 theory:8 ısica:2 possibility:1 quite:1 completely:1 formation:3 alloul:1 estimate:1 muller:4 hc2:39 yazdani:1 brasil:1 widths:1 transition:4 length:1 plane:2 unknown:1 consequence:2 mello:10 think:1 first:4 origin:1 pairing:7 mω:1 features:4 koe:4 number:1 clear:3 done:1 directly:1 array:1 quality:1 specially:1 given:7 temperature:38 hilliard:1 introduction:2 revealed:1 top:1 carbonate:1 system:4 least:1 their:3 underdoped:12 chem:1 calculations:9 importantly:1 1k:4 cooling:2 final:1 liang:1 explanation:1 dissipationless:1 lower:2 diffractometer:1 than:4 liquid:1 showed:2 accordance:1 stm:1 measured:5 depends:1 ranging:1 preparation:1 matter:1 absence:1 amplitude:5 were:20 tion:2 result:2 pre:1 polycrystalline:2 resistivity:6 7b:1 7a:1 cuo4:10 fluctuation:3 pro:1 schneemeyer:1 curves:6 manner:1 qualitatively:1 need:1 seen:3 concentration:1 any:2 ray:1 lascialfari:1 affairs:1 estimated:1 angle:1 depending:3 xrd:1 able:3 ideas:1 metallic:1 onset:4 instance:1 high:2 potential:1 take:1 ghosal:2 towards:1 opposite:1 cnpq:1 centro:1 falls:4 timusk:1 connected:2 but:6 condens:1 phase:12 alez:4 sternlieb:1 intrinsic:3 why:4 appear:2 singer:1 kg:1 considered:1 average:7 sometimes:1 metal:1 physica:4 dissolved:1 near:7 clean:1 axe:1 lsco:4 left:3 sum:2 fact:1 bobroff:1 insulators:1 intensity:1 show:4 random:1 bring:1 theories:1 threshold:2 trivial:1 indicate:1 principal:1 ichikawa:1 based:2 parameters:1 explain:2 written:1 should:1 ξab:2 only:5 threefold:1 adequate:1 local:27 achieve:1 do:6 zhao:1 goes:1 get:2 dependent:1 pontif:1 de:24 stripes:6 hussain:1 yielded:1 made:2 nearly:1 despite:1 during:2 systems:3 exhibit:1 tallon:2 runs:1 resolve:1 densities:3 fields:3 arxiv:1 microscopy:1 dias:2 emu:1 paper:1 london:1 scanning:2 set:1 reference:1 problem:1 mahajan:1 up:1 observed:5 namely:6 powder:1 discussions:1 close:2 points:2 brazil:4 fails:1 detect:1 compounds:11 federal:2 nuclear:1 review:1 nature:3 sites:6 halves:1 state:3 determined:2 various:1 between:1 justified:1 approach:7 takagi:1 notice:2 never:1 responses:1 sections:1 originated:1 however:1 vanishing:3 tamasaku:1 hudson:1 meaningful:1 lopez:2 both:9 essentially:1 panels:2 bogoliubov:2 many:7 region:6 hours:2 equal:1 ısicas:1 called:1 connection:1 faperj:1 dated:1 filho:1 contribution:2 argue:1 expression:1 experimental:8 con:1 mcelroy:2 nqr:1 ch:3 separation:6 cm:1 point:2 color:4 dimensional:1 wider:1 doping:14 uchida:4 considering:1 unusual:2 light:1 described:2 due:4 been:1 much:1 interpret:1 certain:1 collected:1 b69:1 fig:24 generating:1 describe:1 imai:1 formed:1 nunner:2 generalization:2 clusters:2 last:1 present:1 applied:6 kimura:1 josephson:1 pacs:1 dopings:1 orthorhombic:1 tip:1 value:11 will:5 dept:1 while:3 pressed:1 behavior:8 ultra:1 taking:2 procedure:1 larger:6 vi:1 squid:2 thus:7 them:2 surface:1 according:5 ii:4 rio:6 superconducting:22 vs:1 cond:2 against:1 vanish:2 vershinin:1 seem:1 different:10 develop:1 perform:1 make:1 radiation:1 marucco:1 same:1 clearly:2 complex:1 nagaosa:1 mixtures:3 units:1 b67:1 several:4 shimoyama:1 neutron:1 higher:1 magnetometer:1 fairly:1 calculation:2 used:4 peaks:1 see:3 percolation:3 effect:1 mesh:2 hand:1 inhomogeneities:13 domains:1 moment:2 levels:4 stripe:13 changing:1 estado:1 recent:1 htsc:5 framework:1 patchwork:1 whole:1 well:4 analysis:3 0x10:4 patterns:2 materials:1 sets:3 very:5 model:1 silveira:1 usual:2 unified:3 magnetization:3 cuprates:4 just:5 among:1 photo:1 accurate:1 compound:9 superconductors:2 obtain:4 vanishes:3 saturates:1 identify:1 sorted:1 brasileiro:1 previous:1 borges:1 density:11 conclude:1 wen:2 dc:1 evidences:3 source:1 lett:6 samples:19 wet:2 cuo:1 generalized:1 saturation:1 around:5 showing:3 possible:4 upturn:1 possibly:2 increases:5 using:3 orenstein:1 pst:7 mod:2 insert:2 like:5 eisaki:2 patrick:1 qualitative:1 hunt:1 marques:1 pesquisas:1 indication:1 either:2 become:4 disorder:9 signal:1 cooled:1 shed:1 because:3 cabo:2 deal:3 shen:1 some:7 springer:1 calculated:4 nonzero:1 gross:1 stronger:1 measurements:11 when:1 sr0:4 critical:15 percolate:2 prog:1 moderate:1 o3:1 demonstrated:1 limitations:1 bf:1 bdg:2 journal:2 agreement:5 step:3 boebinger:1 although:3 posses:1 freitag:2 behaviors:1 lucia:1 properties:4 panel:4 about:2 bimodal:1 oi:1 oe:1 discussed:3 dependence:1 reduced:2 carrier:2 ong:1 separa:1 germany:1 srx:6 introduced:2 consequently:2 2ρm:2 sintered:2 decreased:1 presence:5 enough:1 into:8 within:1 sol:1 down:1 degennes:2 gomes:1 square:3 determine:1 heated:1 refined:1 additional:1 assumed:2 support:2 there:5 ordered:1 accordingly:1 low:10 way:1 xiao:1 was:7 leading:1 function:5 vicente:1 alloys:2 form:6 cuo2:1 ıcia:1 idea:1 expected:1 berg:2 segregation:1 line:7 highest:2 rietveld:2 applying:1 supr:1 variations:3 maximum:6 us:1 below:2 fermi:1 fluminense:1 planes:1 approaches:2 fluctuations:3 distribution:12 define:1 similar:4 display:5 constant:3 pseudogap:7 tesla:1 curve:4 universal:1 contribute:1 influence:1 ao:1 general:1 right:2 simulations:1 formalism:1 universidade:4 gonz:4 physical:2 beyond:1 no:1 collin:1 percent:1 inset:2 field:14 other:4 damascelli:1 details:1 normal:3 out:2 conclusion:1 picture:1 coherence:1 generates:2 superconductivity:1 yoichi:1 variation:2 prepared:4 develops:1 important:3 structure:5 lang:1 coupling:1 practically:1 diffraction:4 together:1 arpes:1 time:1 pellets:1 original:1 once:1
0704.1426.txt |@word dynamic:1 four:2 entropy:8 quarkonium:1 reissner:1 under:2 conjecture:3 lecture:1 experimentally:1 logarithmically:1 solution:3 correct:1 guiding:1 succession:1 cms:7 degeneracy:2 force:14 second:3 qualitatively:1 implemented:1 even:6 trapping:1 multiperipheral:1 above:8 new:10 net:5 increasing:7 ever:4 coefficient:2 never:2 here:27 asymmetry:1 mev:3 quite:7 logarithmic:1 obtained:7 fireballs:6 study:2 umetsu:1 tuchin:4 mistake:1 gluons:2 visible:1 total:1 schilling:1 unit:3 derivatives:1 would:8 dnb:3 reissnernordstr:1 m1:2 therefore:3 m2:10 type:3 until:3 separated:1 composite:1 brings:1 curvature:1 correspondingly:1 hole:53 must:7 me:2 md:2 mg:4 ma:3 mc:2 mb:6 mm:1 fµν:7 rκ:1 theories:1 mv:1 temperatures:2 concepts:2 example:2 impose:1 renormalization:1 relativistic:1 weinberg:1 involve:2 reviewing:1 want:4 absolute:2 end:1 provide:4 satz:3 feature:4 recovers:1 how:3 description:5 undergoing:4 replacing:1 thermodynamic:3 after:1 minkowski:2 summarize:1 law:4 parallel:1 constants:1 bekenstein:1 effective:16 bootstrap:6 maintain:2 ultimate:1 enter:1 order:4 hadroproduction:1 over:4 expects:1 affect:4 satisfies:1 secondaries:1 before:1 πr2:1 production:29 fig:19 persist:1 hidden:5 overcome:1 eventually:4 them:1 affected:4 break:2 repulsive:2 effects:8 they:3 gev4:3 gev2:3 reasonable:3 each:8 interruption:1 successively:2 evolve:1 shifman:2 combining:1 laboratory:1 rt:5 unbound:1 rs:2 gradient:1 crucial:6 re:1 conjectured:4 c34:1 rk:1 abbott:1 turning:8 linear:3 barrier:3 colorless:1 formation:4 estimate:2 r0:5 r2:11 created:2 cosmic:1 creates:1 disturbed:1 oppose:1 virtuality:1 incorporated:1 onto:1 already:4 features:4 primary:13 another:3 illustrate:2 eqs:2 kt2:4 centripetal:1 needed:2 observations:2 ordered:1 collapse:1 nahm:1 somewhat:1 pagels:1 distance:4 showed:2 evaporates:1 matter:9 perturbative:7 sees:1 spectrum:4 seen:7 seem:1 sikler:1 estimated:1 latter:3 responsible:2 absorbed:1 forces:2 transmit:1 shall:5 counteracts:1 object:4 boltzmann:1 germany:1 phase:2 acknowledgements:1 don:1 observation:3 frautschi:1 partition:9 flow:3 yang:4 principle:3 deceleration:4 random:1 chromodynamic:2 gauge:1 gerlach:1 keywords:1 d4:1 d3:2 finally:2 proposed:2 ellipsoid:1 geodesics:1 g00:2 do:4 dm:2 cheng:1 di:3 de:5 dx:2 dy:6 dt:5 dr:4 ds:2 holland:1 fields:2 4πa:1 observer:6 observes:1 peripheral:2 observed:6 depends:1 electrostatic:2 radius:14 result:9 discussions:2 disturbing:1 best:1 subject:3 exponent:1 away:1 supergravity:1 ered:1 regge:4 conceptual:2 encounters:1 µb:2 terms:7 positron:1 nature:2 restricting:1 however:9 huang:1 essentially:4 uncertainty:2 against:1 exceeds:1 crewther:1 expense:1 presumably:1 appeared:1 2nf:3 concluding:1 asks:1 basis:2 three:5 been:6 much:3 basic:4 expected:2 supersymmetric:1 quantities:1 concerning:1 excite:1 confinement:28 mandelstam:1 spin:8 srivastava:1 excited:3 aim:2 fubini:1 leaves:1 weakens:1 equator:2 need:2 cone:2 wissenschaften:1 containing:1 suggest:1 complex:1 dimensionless:2 several:1 grows:3 independent:4 trajectories:1 hand:3 hydrodynamics:1 potentials:1 vainshtein:1 shortly:3 quantitative:1 just:2 identify:3 thanks:1 scattering:1 yet:1 previous:2 vibration:1 zakharov:1 had:7 bnl:1 breaks:1 possible:9 indicative:1 background:6 unique:1 apart:2 specific:5 steps:1 sezione:1 deconfined:1 born:3 escape:2 rapidity:4 dense:1 quarks:13 microwave:1 linearly:3 elucidate:1 illustration:1 leptons:2 properties:3 collectivity:1 o:2 nonvanishing:1 plus:1 horizon:45 slightly:1 automatically:1 considerations:3 presence:6 puzzle:2 bound:3 down:1 bielefeld:2 raufeisen:1 cascades:1 c57:1 roughening:1 flying:1 conservation:1 way:5 astrophysics:2 was:11 lowest:2 medium:7 form:24 differences:1 denoting:3 true:1 inside:5 maximum:4 fermi:1 emit:1 originating:1 abstract:1 evidence:1 dξ:1 exist:3 dη:1 distributions:1 check:2 dα:1 no:7 nc:1 generally:2 vanishes:2 nf:1 schwinger:2 ny:1 migdal:1 role:4 test:1 nt:1 picture:2 models:1 uniformly:2 consid:1 coulomb:5 assume:1 dτ:2 together:3 time:17 observables:2 nuclei:2 unster:1 chain:1 particular:6 blanchard:1 leads:27 comments:1 grateful:1 remarkably:1 inverse:1 depend:5 shrinkage:1 b264:1 passage:1 charge:11 elliptic:3 analogous:1 abundance:2 string:41 orthogonal:1 springer:1 seemingly:1 bjorken:1 emphasized:1 partitions:2 level:11 turns:1 travels:1 solved:1 der:1 upper:2 work:3 occurrence:1 penetrates:1 prediction:1 sign:1 decelerating:1 adds:1 appear:1 uniform:4 axial:1 hadronizes:1 goes:1 bi:1 cos2:4 address:3 alone:1 along:3 appears:2 change:1 dice:1 studied:2 suggestion:1 resonance:11 conveniently:1 studies:8 useful:2 gluon:6 traversing:1 flavors:1 suppl:1 centrality:4 scenarios:1 pert:4 introducing:1 partons:4 kozlov:1 ruffini:1 cases:2 rotational:7 sphere:1 modified:1 longitude:1 values:1 believed:1 making:1 modifies:1 geometrized:1 parikh:1 figure:13 sps:2 topic:1 allowed:1 occur:1 verlag:1 discussion:2 s5:1 freezes:1 pure:1 repulsion:6 parameter:3 may:3 quantified:1 produce:3 data:1 grow:1 natural:1 dynamical:1 whenever:1 d61:1 cascade:13 accelerated:2 cannot:3 so:17 fireball:4 sg:1 typical:1 acts:1 nucleon:4 constituents:15 mainly:1 years:2 course:1 experiments:3 statistical:9 differs:1 cold:1 still:2 group:1 interesting:6 decreases:1 forms:3 attraction:5 constitutes:1 main:1 correspondence:3 non:19 thereby:1 processes:2 b273:1 now:14 discuss:1 nor:3 term:2 holographic:1 kerr:3 instability:1 atstheorie:1 square:1 eh:1 ee:2 ed:1 amsterdam:1 counteract:1 eq:24 shown:11 beauty:2 space:14 furthermore:2 lagrangian:4 increase:13 collisions:40 contained:1 viable:1 shows:2 earlier:1 theory:16 divergence:3 fisica:1 possibility:4 quark:12 language:1 transition:4 motion:10 turn:5 massive:1 first:9 origin:4 xh:2 initial:11 symmetry:2 striking:1 specifically:1 directly:1 xq:9 open:1 angular:13 size:3 wilczek:3 given:25 antiparticles:1 unruh:22 indicate:3 returns:1 realization:1 white:9 national:1 gives:2 progr:2 schwarzschild:12 braun:1 transverse:12 enigma:1 appearence:1 x0:3 than:4 specify:1 fm3:1 hagedorn:5 were:2 spectra:3 remained:1 argument:1 say:1 recover:1 any:7 c76:1 note:10 ideal:4 potential:6 take:2 deus:1 begin:1 multiple:1 trace:5 opposite:1 beta:1 successive:5 pair:39 forever:2 considered:2 average:4 implications:1 neuberger:1 nuclear:1 quantity:1 slope:2 show:6 threshold:3 slow:1 ratio:4 aτ:3 written:2 only:13 black:65 gev:10 get:6 ionized:1 ωdj:2 boundary:2 intuitive:1 podolsky:2 summary:1 mapped:1 ricci:1 relative:7 cim:4 violates:1 surfaces:1 αs:9 strathdee:2 ways:2 outside:5 between:9 reading:1 2αs:2 comm:1 come:2 concentrated:1 reaction:1 many:4 region:13 according:2 σx:2 present:4 comes:2 azimuthally:1 afterwards:1 color:32 pole:1 anti:1 stretched:1 associated:2 considering:1 locally:1 absence:1 combined:2 formed:1 photon:3 external:1 catania:3 former:2 those:1 case:25 nordstr:1 invoking:1 novello:1 situation:5 tunneling:2 conformal:2 coupled:1 characteristics:1 metric:10 redlich:1 equal:1 d14:1 different:6 develop:1 d18:1 same:12 regime:1 events:1 singapore:1 changing:1 invariance:3 modes:1 c69:1 charges:4 c64:1 deconfinement:1 without:2 solve:1 very:2 model:8 dimension:2 charged:5 when:9 rest:3 unclear:1 aspect:1 touch:1 flavor:1 speed:2 europ:1 upton:1 photons:6 priori:3 treatment:1 versa:2 momentum:36 aspects:1 around:1 thermalized:1 uscher:1 confines:1 early:2 vacuum:27 confined:4 world:5 rε:1 moreover:4 mod:1 collective:6 either:1 fully:1 stationary:4 reduced:2 specifies:2 specified:3 provided:8 ellis:2 dimensions:1 tube:11 stops:1 mesons:1 critical:2 provides:11 propagating:1 scientific:1 power:1 equivalent:1 broken:2 2m:2 refers:1 hadron:31 om:2 central:6 theorems:1 discussed:5 communication:1 rising:1 determine:3 einstein:6 argumentation:1 na49:1 fast:3 hep:4 area:4 assumed:4 there:8 start:1 detectable:1 italia:1 low:3 stars:1 complete:2 enough:2 jun:1 embedded:1 multiplicity:7 obtains:1 strongly:2 diverges:1 certain:2 analoguous:1 general:8 governed:2 again:5 completeness:1 rosen:2 field:20 valid:2 spatial:1 m1k:1 polar:3 ads5:1 separate:3 important:1 nucleus:2 peak:2 included:1 requires:2 mass:34 starting:3 strings:1 abundances:4 consider:13 ceases:1 scalar:2 causes:1 tu:4 tr:2 tp:1 tq:14 program:1 preserved:1 th:9 stochastic:4 b180:1 b185:1 returning:1 far:2 mn2:1 73b:1 condition:3 accompanying:2 troost:1 t0:1 large:10 small:3 zero:2 further:12 primes:1 tev:1 canonical:1 what:5 brackets:1 section:9 thickness:6 version:2 dias:1 contrast:4 2kt:1 full:1 modify:2 nussinov:1 behaviour:4 compressed:1 directions:1 strong:19 equations:1 transformation:1 colored:5 stretching:1 allows:4 prior:1 amount:3 periodic:1 action:3 via:1 family:1 requiring:1 screens:2 rkn:2 proceed:1 thermalisation:1 distinct:1 contains:1 quasi:1 nucl:13 sitter:2 qcd:30 taken:1 gq2:4 more:11 flat:4 emission:3 varying:1 known:6 producing:2 recall:6 equation:2 det:3 remain:2 hosoya:1 ions:3 compare:3 cosmological:2 ds2:7 neglected:1 states:6 collision:13 numbers:1 sense:2 species:2 axis:3 information:10 rather:2 breaking:6 surpassed:1 iso:1 e2h:2 ensemble:1 v02:1 plane:3 coming:1 fm:9 register:1 specifying:2 playing:1 cosh:1 soon:4 thermal:29 paper:1 through:21 existence:1 kinetic:7 suffer:1 excitations:2 its:23 castorina:2 energies:2 actually:1 detected:1 systems:7 return:2 universality:1 framework:1 cosh2:1 inelastic:1 2t:1 easily:1 kharzeev:5 always:1 presented:2 2g:5 found:6 universit:2 2k:3 heavy:16 hadronic:14 energy:55 hard:2 reduce:1 idea:2 expect:1 quantum:22 beyond:3 event:40 really:1 dominates:1 nuovo:4 since:10 denotes:4 dominated:1 denoted:5 pertubative:1 occurs:3 relativit:1 multihadron:4 φdq:2 reason:1 aharanov:1 imagine:1 sbh:4 pairs:4 conformally:2 heinz:1 exponentially:4 alkofer:1 consequence:4 hadrons:19 dipartimento:1 fischer:1 probability:3 relate:2 number:17 antiquark:3 approximately:1 perturbation:1 temperature:64 jet:2 introduction:1 leading:7 assumption:3 dt2:4 scheme:1 too:1 baryon:15 part:1 believe:1 diffusion:1 kind:2 horizons:3 annihilation:14 determined:18 electrodynamics:1 null:1 orders:1 estrada:1 depending:2 self:6 horibe:1 internal:1 generalized:1 electric:6 measures:1 reach:1 coordinate:1 charm:2 colliding:2 measured:4 equatorial:1 clear:3 coincides:1 dissolved:1 reflections:1 exp:7 kt:5 brookhaven:1 physics:11 phenomenon:3 evaporation:1 relation:10 find:3 impact:1 duncan:1 distributed:1 factor:3 abelian:2 dominant:2 dependent:1 beams:1 nonequilibrium:1 rt2:3 combinations:1 fνα:1 arxiv:2 common:3 approaching:1 set:1 achieved:2 throwing:1 see:14 individual:1 descriptions:1 close:2 outward:1 gravitation:6 fang:1 numerous:1 recently:1 initially:2 incident:2 invisible:1 both:6 politzer:1 connection:1 became:1 finds:1 experimental:2 arbitrarily:2 flies:1 separation:8 point:14 corresponds:2 simply:2 pp:2 publishing:1 lattice:4 due:8 reduction:4 azimuthal:1 anisotropic:1 ph:4 empty:1 lett:13 grillo:1 gas:5 dθ2:4 equilibration:2 p2:1 b143:1 exponential:4 pacs:1 solid:1 while:9 replaced:1 behavior:2 loop:1 laflamme:1 binding:2 itself:2 confining:5 vanish:1 nielsen:1 kinetically:1 shorter:1 randomization:1 emphasize:2 grand:1 modification:2 composition:6 neutron:2 higher:3 used:3 rescattering:1 weisz:1 strength:8 uses:1 lower:1 analysis:1 consistency:1 parametric:1 2gm:6 distances:3 rindler:1 glueball:2 using:5 conclusions:1 excites:1 theoret:2 source:1 remaining:1 tunnelling:11 integer:1 bit:1 8πg:1 helpful:1 modifications:6 follows:1 signal:1 holes:21 flux:11 unstable:1 reduces:4 some:6 back:3 examples:1 scale:6 describing:3 resonances:3 though:3 per:5 connecting:2 bm:1 agreement:2 step:8 santa:1 become:3 relating:1 hilbert:2 integers:2 range:4 extensions:1 πm2:1 bardakci:1 into:14 within:1 neutrality:3 parton:8 frames:1 proportional:1 statistics:1 classically:2 extremely:1 question:1 long:1 translate:1 sections:1 arise:2 governs:1 memory:2 line:2 considerable:1 infn:1 2πd:1 consist:1 llanes:1 up:5 us:4 ur:1 retaining:1 zhi:1 fluctuations:4 schechter:1 similar:15 called:1 constant:12 worthwhile:2 defined:1 single:1 formalism:1 defines:3 application:1 points:1 department:2 elements:1 spectators:2 energetic:3 excitation:7 gross:1 expressing:1 θdφ2:3 drag:3 allowing:1 velocity:8 mathematischen:1 structure:7 independently:1 implies:1 vice:2 thermalization:5 required:1 diffraction:1 equivalently:2 weights:2 ags:1 once:2 gt:2 illustrates:1 results:5 illustrated:5 gf:7 gm:23 recami:1 contributions:1 compact:2 indicating:3 probe:1 g2:2 electron:4 lqcd:1 fakult:1 diverging:1 notes:1 colors:1 deals:1 noted:4 solutions:1 concluded:1 rrn:1 smaller:3 compensated:1 sin2:3 joglekar:1 growing:1 dynamics:1 64a:1 plays:1 giving:1 access:1 poles:1 expresses:1 body:3 led:3 lee:2 exchange:1 respectively:3 following:1 explore:1 objects:1 sinh:1 cern:1 involved:1 larger:2 suggests:1 resulting:30 stimulating:1 involves:2 composed:1 formulated:1 addresses:1 becattini:4 win:1 maldacena:1 addressed:1 decrease:7 apply:1 causal:1 use:1 asymptotic:2 usa:1 remains:3 next:4 few:1 totality:1 becomes:16 carrying:1 normalized:1 hints:1 account:5 cleymans:1 tunnel:1 averaged:1 salam:2 crossed:1 universe:1 drops:1 averages:1 process:6 inaccessible:1 high:21 effectively:1 weaken:1 fortunato:1 dilaton:3 instead:2 tension:16 sommerfeld:1 physik:1 physical:10 light:9 lines:2 element:1 allow:3 subsequently:1 gµν:2 produces:4 pajares:1 produced:9 mentioned:3 operative:1 perfect:1 longitudinal:4 decay:6 ln:10 masses:2 relativity:3 li:1 degrees:1 latitude:2 defining:2 13b:1 13a:1 greater:1 newman:1 mention:2 rotation:2 dielectric:1 equlibrium:1 accompanies:1 sufficiently:6 magnitude:1 references:3 related:1 decays:3 static:1 measure:1 separating:3 our:10 out:1 rev:26 m2k:1 m2e:1 m2g:3 cause:1 math:2 interactions:8 completely:1 interaction:16 geometry:1 could:10 m21:1 m22:1 times:3 counterpart:5 length:7 transfer:4 hence:20 reaches:4 reached:4 hyperbolic:3 ordering:1 condensate:2 system:26 relations:1 their:2 final:5 shell:4 constituent:1 45c:1 accelerates:1 qs:2 limiting:9 inversely:1 collins:1 exhibit:1 fluctuation:2 disjoint:1 curved:6 apparently:1 clearly:3 acceleration:21 prohibits:1 angle:1 studying:1 mills:4 gravity:4 mechanism:1 instance:2 schematically:2 who:1 connected:2 intrinsic:1 why:3 tensor:4 consequences:1 stronger:2 veneziano:1 fact:4 emerging:1 text:1 ergosphere:11 supported:1 rotating:12 bring:4 maiani:1 agrees:3 q1:16 q2:15 based:4 baryonic:1 tomboulis:1 should:5 indeed:6 emitting:3 isham:1 achieve:1 equilibrium:11 simplest:2 overall:16 tbh:12 ones:1 words:3 areas:1 qq:2 evolution:6 densities:1 ended:1 approach:2 hydrodynamic:1 gribov:2 qi:3 fixed:1 hadronization:17 view:2 multiplying:1 constructing:1 frame:1 closer:2 interacting:2 pattern:12 diverge:1 state:17 closed:1 invariant:2 neither:2 emitted:15 hypothesis:1 problem:5 observable:1 limits:3 vanishing:3 passing:2 comment:1 aa:3 relevant:2 co:1 conclude:1 leipzig:1 walk:1 m11:2 m12:1 coordinates:3 respect:1 kinematic:1 int:1 treat:1 hawking:38 anomaly:3 arises:1 corresponding:18 sufficient:2 terashima:1 c20:1 deep:1 c0:7 arisen:1 novel:1 unlike:1 value:12 will:24 thus:30 surface:4 vs:2 dual:8 partner:2 ǫvac:12 radiation:58 cross:1 unity:1 pauli:1 largest:1 units:3 finite:1 bali:1 effect:9 v0:7 ion:7 infinite:1 destruction:2 nevertheless:1 well:9 bohm:1 patterns:1 english:1 latest:1 spherical:3 sofia:1 obtain:5 underlying:5 casher:1 predicts:1 momenta:1 adv:1 density:16 consoli:1 thermodynamics:9 combine:1 attractive:1 11nc:4 identical:1 saturation:8 increases:3 press:1 gluodynamics:5 loss:3 necessary:1 like:1 lost:1 accelerating:9 loses:1 gm2:2 soft:2 replacement:1 because:5 qed:3 classical:15 sequence:3 phenomena:3 growth:2 convey:1 proper:2 lead:14 instantaneous:1 does:7 assuming:2 demonstrated:1 stellar:2 pressure:4 inherently:1 although:1 stage:1 about:5 actual:3 extension:4 freedom:3 introduces:1 dependence:9 compatible:1 a2:1 converging:1 outset:2 h2:1 pergamon:1 h1:1 functional:2 barshay:1 additional:2 vac:1 crucially:1 naturally:2 function:6 north:1 but:11 volume:5 neutral:3 hi:1 gain:2 made:1 evident:1 instructive:1 levin:3 gravitational:21 below:1 limit:9 d20:1 distribution:4 piece:1 mechanics:2 chanowitz:1 universal:9 teubner:1 compared:1 variety:1 virtual:2 other:11 theor:2 predominant:1 star:1 radially:1 variation:1 chance:1 coupling:3 factors:1 a661:1 original:6 stachel:1 4f:1 expands:1
0704.1427.txt |@word consider:4 rev:11 results:3 illustrated:1 saminadayar:1 spaced:3 extremities:1 ponomarenko:1 presents:1 charge:6 tk:1 th:1 ev0:1 ev1:2 analogous:1 case:4 kumar:1 frequencies:2 wave:3 electron:5 every:1 experimentally:2 vast:1 leads:2 hamiltonian:3 turns:1 t1:1 deals:1 convenience:1 small:2 grifoni:1 smaller:1 coefficient:1 cosh:1 second:1 displays:1 correlator:1 index:2 appear:1 assisted:13 expressed:1 current:3 fractional:8 satisfy:1 full:1 ibid:8 respectively:1 spacing:3 reads:1 mes:1 laughlin:1 along:3 obtained:4 study:1 larger:1 allows:2 fourier:1 makes:1 via:1 apr:1 total:1 plot:1 ψr:1 only:2 france:1 depicted:1 ψl:2 more:4 fractions:1 becomes:1 mismatch:1 validity:1 tested:1 lesovik:3 particular:2 known:1 fermionic:1 νe:3 eiω0:1 tunnel:5 setup:1 work:2 modified:2 values:2 temperatures:2 following:2 compare:1 figure:2 calculation:2 attribute:1 states:5 sense:1 sharp:1 occur:1 junctions:1 aguado:1 instead:1 parameter:2 sin:1 profile:1 fr:2 mat:2 staircase:4 modulation:2 singularities:4 short:1 physical:1 liquid:4 so:1 ultraviolet:1 order:3 typical:1 help:1 over:1 through:1 affect:1 differs:1 kinetic:1 excitations:2 exhibits:4 complex:1 systems:6 derivative:13 main:1 setting:1 eur:1 non:7 affected:1 safi:1 effects:5 they:1 hall:10 term:2 several:1 characterizes:1 identified:1 filling:5 fσ:2 2a:1 2b:1 each:2 differential:1 ei:1 mesoscopic:1 kane:1 related:3 frequency:3 expect:1 measurement:2 quantum:9 our:1 extract:1 out:2 shown:1 factors:2 kozhevnikov:1 rep:1 since:1 rx:1 diffusive:2 dominate:1 occurs:1 shows:1 interactions:11 qf:1 transfer:1 standard:1 complicated:1 dω0:3 e2:1 interaction:1 chiral:4 could:2 length:3 signature:1 consequence:2 conductors:1 first:1 origin:1 informations:1 picciotto:1 quasiparticle:1 size:2 iω1:1 temperature:2 iω2:1 introduction:1 system:5 intermediate:1 dt1:1 smoothed:2 keldysh:1 uttiker:2 injected:1 than:1 modes:1 distance:1 sectors:1 stm:8 zero:2 determined:1 contrary:1 amplitude:3 schoelkopf:1 dtv:1 perturbative:1 levitov:2 close:2 seen:1 physique:1 metallic:1 majority:1 take:2 cnrs:1 towards:1 multiple:1 normal:1 effective:2 connected:1 but:1 luttinger:3 measured:1 counterpropagating:1 kc:11 kb:5 kf:1 considered:1 tη:1 clear:1 flow:1 ks:2 electrons:7 exp:3 schulz:1 egger:1 sum:1 slope:1 shot:6 show:1 probe:2 superimposed:1 stepwise:1 reminiscent:1 ratio:4 parameters:1 quasiparticles:3 factor:5 constant:1 klein:2 de:3 dc:3 dx:1 dt:2 ds:6 processes:1 bar:1 fields:3 arxiv:1 microscope:1 houten:1 anggi:1 double:1 valid:1 scanning:1 set:1 computed:1 chamon:1 packet:1 plateaus:1 relative:1 depends:1 result:2 collects:1 contour:1 interacting:6 αx:1 between:4 limit:3 luminy:1 comparable:1 terms:1 nature:1 weak:1 jp:4 platero:1 here:1 carbon:5 jetp:1 abruptly:1 both:2 cos:4 region:2 equal:1 hω:6 contribution:1 relevant:1 point:1 poissonian:1 corresponds:2 hvf:1 dimensional:4 respect:1 described:3 due:1 been:2 describes:2 expected:1 fig:4 gas:2 wires:1 spin:2 present:1 applied:2 solid:2 reminiscence:1 value:2 superposed:1 behavior:5 applies:1 tunneling:3 landauer:1 vf:6 iq:1 thus:3 according:1 ik:1 bias:4 cond:2 ib:3 φr:2 divergences:1 lett:8 noninteracting:1 finite:3 φl:1 used:2 effect:3 v0:2 v1:2 edges:1 moving:1 purpose:1 infinite:2 jp2:2 center:1 charges:2 edge:3 position:3 model:1 left:4 maslov:1 less:1 photo:13 obtain:1 shape:1 voltage:10 positions:1 density:2 iϕ:1 except:2 interested:1 location:1 role:1 fendley:1 momentum:2 beenakker:1 possible:1 eorique:1 increases:1 integer:4 height:1 semi:1 velocities:1 specific:1 steps:5 martin:4 right:4 play:1 cr:2 pω:5 transport:3 scale:1 devillard:2 contacts:2 cσ:3 centre:1 when:6 bessel:2 mode:1 noise:30 bc:3 bn:2 agreement:1 expansion:1 step:1 stone:1 extension:1 dependence:1 range:1 important:2 propagate:1 gamma:1 cutoff:2 presence:4 jδ:3 reflexion:1 h0:2 numerically:1 backscattering:3 lies:1 because:1 references:1 operator:1 bosonic:2 theoretically:1 van:1 additional:1 assumed:1 there:1 transform:1 smoothing:1 way:1 analyze:1 naturally:1 function:5 complete:1 ht:2 cedex:1 hn:2 hb:3 line:7 2πa:3 absent:1 made:1 attenuate:1 nanotube:21 ωt:3 fermi:2 ωl:9 fluctuations:1 ωc:1 marseille:1 display:1 ac:4 associated:1 defined:1 metal:1 metals:2 single:1 regime:8 functions:1 dotted:1 no:1 reznikov:1 dashed:4 tip:6 arctan:2 field:1 other:1 electrical:1 branch:1 spatial:2 conclusion:1 picture:1 backscattered:1 gogolin:1 variation:2 a2:5 fisher:1 correlated:1 coulomb:13 dω:2 assume:1 dτ:1 packets:2 time:3 evenly:3
0704.1428.txt |@word katz:6 sci:3 consider:1 chain:8 surrounding:1 caused:1 global:1 results:1 four:5 selection:1 ga:1 types:1 partial:3 contributions:1 row:5 relationships:2 whose:1 clarification:1 ulis:2 show:6 pentagonal:1 tail:9 behave:1 present:3 th:1 stable:2 nodes:4 characterised:4 alternating:3 case:8 isotropically:2 deforming:1 rational:2 orthogonal:7 far:4 dragged:1 geometrical:3 electron:8 orientations:7 experimentally:2 decorating:1 difference:1 newly:1 condition:1 leads:9 tilings:21 called:9 transmission:6 positions:3 large:6 convenience:1 vector:27 small:8 siggia:2 concluded:1 smaller:2 zi:6 periodicity:3 summarizes:1 direct:1 approximation:1 rhomb:4 zero:1 corner:1 2aξ:1 further:1 odd:1 canonical:1 even:3 index:1 appear:3 completely:1 sun:2 section:4 selected:3 expressed:1 cell:5 cyclic:1 run:1 above:4 a233:1 new:8 construction:8 increasing:1 method:18 contrast:1 3d:19 body:1 edited:4 bi:1 full:2 degree:10 respectively:1 modify:1 here:3 atoms:5 favourable:1 les:4 inside:1 relaxation:1 directions:1 consideration:1 along:7 observing:1 z1:3 interpret:1 obtained:3 singapore:1 shift:1 vectors:28 visualised:2 hler:1 periodic:8 resulting:1 permutation:1 climb:3 hexagon:5 makes:2 uniquely:1 golden:1 named:2 via:1 spatially:2 projection:22 elaborated:1 apr:1 explained:3 planar:2 marked:4 distance:1 rosenfeld:2 controls:1 movement:2 e4:1 apply:1 should:1 unit:10 use:2 working:1 positive:2 contains:2 only:16 periodically:1 few:1 therefore:4 taken:2 themselves:1 e2:5 type:11 start:1 more:3 flat:3 becomes:1 inclined:3 marks:1 charming:1 eξ:3 labelled:1 varying:4 known:3 cases:2 aligned:2 iii:1 must:5 locked:1 middle:3 deformed:1 equation:1 mn:11 modified:1 strain:13 examined:1 values:3 thin:10 following:3 meet:2 closing:1 arrive:1 root:1 example:8 fibonacci:9 f1:4 f2:5 f3:1 mackay:2 f5:5 figure:45 give:1 allowed:2 neglected:1 hexagons:12 states:1 bend:1 want:2 sense:1 tions:1 occur:3 axis:3 huge:2 respective:1 vanish:1 end:1 notation:2 eng:2 discussion:1 six:12 feature:2 bendings:1 arrangement:7 regions:2 maps:1 fourth:2 acta:1 ordinary:2 parameter:4 sin:15 isotropic:2 orientational:1 magnitudes:1 description:12 staircase:3 entropically:1 perrin:1 after:2 derived:3 imaginable:1 jump:3 stripes:1 hence:1 plane:31 designed:1 mag:9 choice:1 parallel:6 constants:4 short:1 third:2 physik:2 tsai:2 lines:21 correspond:6 polytechnique:1 micrographs:3 cannot:3 so:10 allow:1 decreasing:1 sides:3 order:2 hennion:1 e3d:2 restriction:3 deform:1 numbers:1 developed:1 over:2 move:5 closeness:1 flips:1 parametrised:1 approximants:19 ffm:1 paper:4 through:3 thesis:1 omitting:2 mentioned:3 concentric:1 excitations:3 its:6 fischer:1 horizontally:2 derive:2 icosahedral:6 termed:2 energies:1 interesting:1 hanke:1 coordinates:1 writing:1 resort:1 parts:1 degrees:18 ls:3 clusters:5 deformation:1 unlocked:2 outside:1 them:4 pure:2 combination:4 entire:1 propose:1 runs:1 very:1 tails:1 they:17 grows:2 rotation:4 now:9 discuss:1 structural:1 defected:1 easily:2 february:1 several:2 indeed:1 name:1 lies:1 always:1 presented:2 arrows:2 microstructures:1 approximant:19 displacements:3 2d:2 theory:3 magnitude:1 follow:1 2a:1 2b:1 each:5 found:2 universit:1 energetically:2 side:10 mean:1 lifted:1 tilted:2 another:2 ej:1 energy:6 positioned:1 displacement:4 related:3 inverted:1 literature:1 1d:1 b3d:11 our:3 operation:1 special:3 out:1 shown:22 matrix:4 space:23 restricted:1 furthermore:3 since:10 rev:4 projected:8 beraha:7 rb:2 rn:2 induced:2 induction:1 mtrl:1 earlier:1 linear:3 free:1 standard:1 pleasant:1 reason:1 threedimensional:1 formation:1 term:2 besides:2 e5:2 institut:2 e6:1 e1:3 accommodation:1 shortest:1 additional:1 rearrangements:1 hiraga:2 created:3 geometry:1 c3d:3 could:2 transition:6 times:2 creates:1 length:13 place:1 due:2 circuit:2 consequence:4 quadratically:2 onto:5 5th:1 frequent:1 first:3 origin:2 staggered:3 features:1 symmetry:4 relate:2 f4:1 number:5 sack:1 theoretische:1 simplified:2 defects:1 directly:1 a3d:3 thick:11 u2:8 given:3 needed:2 introduction:2 leading:5 top:2 achieved:1 system:4 construct:1 plastic:1 excitable:11 their:12 intermediate:1 too:3 banana:1 2fm:1 gives:1 urban:4 l3d:4 relationship:2 explanation:1 exactly:2 accurately:1 larger:1 part:9 simulate:1 review:1 translation:1 than:4 e3:1 wide:1 inserted:3 18a:1 determines:3 penrose:8 jumps:1 sections:1 t3d:3 grey:3 matter:1 determined:3 contrary:2 gigantic:1 function:2 radial:1 turned:1 defect:1 yielding:1 mater:4 width:1 distorted:1 need:1 curved:1 any:2 viewed:3 ray:1 lie:4 proccedings:1 built:3 mapping:1 lim:2 propagation:1 able:1 isolated:1 metallic:2 oriented:1 sound:1 rearranges:1 without:2 forces:1 interior:1 gastaldi:1 relaxed:1 lectures:2 play:1 continuous:5 fundamental:1 centre:3 twodimensional:1 rearrange:1 most:5 courtesy:2 regular:3 germany:1 but:8 steinhardt:2 successive:1 phase:88 rhombic:2 measured:1 class:1 picture:1 cause:1 considered:2 calculated:6 later:1 coincides:1 vertices:1 face:2 points:3 principle:1 left:6 compounds:1 fact:2 quasicrystal:7 slope:7 spherical:1 hyper:1 distances:1 text:3 ending:2 area:3 spaces:5 relation:2 substituting:2 indicate:2 atomistic:1 mengel:1 finally:1 ratio:2 knowledge:1 extending:2 distributed:4 state:3 hyperspace:41 either:2 durand:2 bases:2 candidates:1 quasiperiodic:6 local:8 columns:6 meant:1 do:5 tiles:30 triangle:1 closed:2 klein:22 means:2 dependent:1 vary:1 connections:1 de:8 sixdimensional:1 ones:2 closely:1 consecutive:1 combinations:1 lattices:2 striped:3 superstructures:1 aξ:3 processes:1 spots:1 embedded:2 converge:1 irrational:1 arxiv:1 fixes:2 microscopy:2 3f:3 circuits:1 experiments:2 common:2 contain:2 london:1 vincent:1 fixed:1 cells:11 textures:1 omission:1 phenomenologically:1 accompanied:1 cuts:1 ends:1 operates:1 observed:15 see:9 computer:1 geometrically:2 projections:9 unaltered:2 best:2 surfaces:8 phases:43 motion:2 intersected:1 pattern:1 away:3 inoue:1 sites:1 label:1 boundaries:5 halves:1 engel:1 various:3 multiples:1 correctly:1 between:7 drawn:3 boundary:7 email:1 pictured:1 counterexample:1 comparable:1 creating:1 complementary:1 component:7 complement:3 however:3 inclusions:1 article:1 configuration:4 come:1 concentrated:2 restrictions:1 cos:16 last:3 2n:9 reported:1 region:6 equal:3 flipped:1 fulfilled:2 stuttgart:3 connection:1 und:1 substituted:4 faces:1 uni:1 contribution:3 experimental:1 otherwise:1 generalisation:1 gratias:6 necessary:1 point:3 simple:4 seems:1 dislocations:19 dimensional:58 hyperspaces:4 cancel:1 proved:1 dislocation:36 z6:3 conference:1 described:8 second:1 basis:13 create:1 induces:1 three:29 been:12 much:1 phononic:15 change:1 pd:11 basic:1 choose:1 direction:14 6d:37 6f:1 sufficient:1 subspace:4 argument:1 observe:1 angles:1 covered:1 denote:1 those:6 applied:2 lubensky:2 developing:1 solid:1 orthorhombic:1 originate:1 appearance:1 conserved:1 value:1 rectangular:1 will:9 while:10 ongoing:1 match:1 bartsch:2 involved:2 fm:32 identical:1 layer:1 changed:2 orientation:17 almost:1 thus:3 non:1 surface:4 ii:2 cluster:5 arrangements:1 cond:2 crystals:1 n2:12 henley:2 movements:1 different:17 tiling:37 pentagons:1 strains:1 lengths:2 suggest:3 make:1 same:9 proceeds:1 highlighted:1 complex:2 largest:1 avoids:1 figures:3 physical:5 intermediary:1 neutron:1 higher:1 used:9 trivially:1 cubic:5 published:1 upon:1 require:2 phd:1 v1:1 v2:1 moving:2 stripe:1 energetic:1 centred:3 suitable:1 nevertheless:1 nonetheless:1 well:6 magnified:1 burgers:29 edge:5 comes:1 components:6 dashed:1 coordinate:3 position:1 model:17 usual:2 bending:3 unified:1 just:1 emerge:1 being:3 physique:2 micrograph:3 rotated:2 vanishes:1 seen:1 shape:4 intervals:1 identify:1 atomic:26 aspect:1 world:1 3e3:1 frenkel:1 scattering:1 yet:1 alignment:1 jari:1 adding:1 cut:56 had:1 mathematically:1 lattice:18 add:1 lett:4 5d:22 janot:1 mod:3 5a:1 transformation:2 5c:1 5b:1 angewandte:1 estimating:1 trebin:4 around:3 depends:1 possible:7 spanned:9 dark:1 five:23 selects:1 press:1 using:4 unique:1 grenoble:1 projects:1 apart:1 vertically:1 displaced:1 france:2 imposed:2 like:2 shaped:2 performing:1 coarsened:1 separately:1 roth:1 continue:2 steps:3 schall:2 arbitrary:1 rearrangement:2 simply:2 reduced:1 interpreting:1 making:1 indications:1 because:7 methods:2 namely:1 sequence:1 cores:1 phenomena:1 isotropy:1 understood:1 towards:1 b1:2 b2:4 b3:4 kinds:1 bξ:2 generates:1 scale:1 dimensions:2 lead:2 bottom:1 res:1 normal:3 fivefold:5 overlap:2 get:1 does:1 assuming:1 socolar:2 refer:1 core:9 11a:1 scientific:1 11c:1 11b:1 rhombs:19 equivalent:1 2c:1 perpendicular:6 how:1 step:4 tenfold:1 cξ:10 although:3 substitution:1 approximating:2 properties:3 comparison:2 about:3 would:2 quasicrystals:8 column:5 freedom:27 discussed:2 le:1 done:1 calculating:1 connected:1 comp:2 introduced:3 slightly:1 automatically:1 considerations:1 additionally:1 unfavourable:1 inclusion:1 orders:2 into:4 within:1 elasticity:2 negative:3 contrasts:1 right:3 references:1 determine:2 strip:5 next:1 pentagon:6 lowerdimensional:1 often:1 rows:9 span:5 deal:1 elastic:6 shells:1 normalised:1 assumed:1 there:8 u1:5 phason:47 long:2 why:1 decagonal:2 accordingly:1 low:2 way:5 2m:2 editions:2 was:4 lowest:2 academic:1 alloys:2 form:6 metastable:1 forming:3 adjusting:1 regard:2 overlapping:3 volume:1 pfaffenwaldring:1 atom:1 convergence:1 line:19 true:2 consist:1 whether:1 characteristic:2 mat:1 up:4 ur:1 international:1 placed:1 below:2 projecting:2 limit:1 planes:22 continuously:2 demonstrate:1 similar:2 display:1 darker:1 detailed:1 phil:9 constant:2 defined:1 abstract:1 describe:2 moved:1 general:5 single:1 caudron:1 exist:6 minimise:1 simulations:1 corresponding:1 formalism:8 simplest:1 triangles:1 constructed:5 again:3 marking:1 compared:1 nm:21 national:1 no:2 fixing:2 whereas:1 when:4 detail:1 arctan:1 field:6 other:10 role:1 stabilised:1 papers:1 overcome:1 mathematics:1 bc0:1 yokoyama:1 conclusion:2 deviation:1 explaining:1 star:5 ternary:1 excitation:6 temperatures:1 models:1 reorientation:2 problems:1 4f:1 generated:1 registry:1 ξn:27 realised:1 decorated:1 gap:4 prongs:1 structure:1 building:1 18b:1 coupling:2 partitioned:2 required:2 having:2 mancini:1 phonon:4 neighbouring:3 volumes:10 time:1 n0:3 n1:13 4d:1 requires:1 original:7 classical:2 18c:1
0704.1429.txt |@word abazov:1 monte:1 code:1 smuon:1 consider:3 magnetic:2 global:1 results:3 month:2 leads:1 eds:1 scalar:2 squarks:4 houches:1 particles:4 depend:1 calculate:1 gladyshev:10 finally:1 contours:2 semenov:2 forbidden:3 federation:3 zhang:1 very:8 hagiwara:1 choice:1 figs:2 fall:1 school:3 presented:1 itep:1 haber:2 large:14 small:3 noted:1 favoured:1 jhep:2 smaller:1 lightest:8 sign:2 astrophys:2 carlo:1 tev:1 wmap:2 even:8 neutralino:6 what:1 section:2 while:1 experiment:1 goes:1 values:16 increasing:2 isajet:2 full:1 escaping:1 lee:1 compilation:1 here:2 hundreds:2 lep:15 met:1 explore:2 les:1 melnikov:1 along:4 quark:3 appears:1 change:1 almost:1 noticeable:2 institute:2 shift:2 introductory:1 joliot:1 commonly:1 amount:1 loop:1 narrow:4 golden:1 via:3 projection:1 apr:1 search:1 gluon:1 belanger:3 kobayashi:1 use:1 takes:3 working:3 commun:1 positive:1 martyn:1 negative:5 next:2 scenarios:1 few:2 live:1 m1:16 m0:15 type:1 theoretical:2 minor:1 jungman:1 becomes:5 company:1 getting:1 benchmark:2 aleph:1 giunti:1 particular:2 olive:2 cases:1 hold:1 iii:1 fly:1 states:1 account:1 amaldi:1 mb:2 science:1 package:1 worth:1 mt:6 mw:1 mq:1 hocker:1 9th:1 nearest:1 give:2 anomalous:2 bennett:2 high:2 collision:1 degenerate:1 allowed:7 tan:14 needs:1 winter:1 breaking:5 regions:3 wspc:10 chargino:7 parameter:22 de:7 may:8 weiglein:1 plane:7 coming:1 realized:1 lhc:8 third:2 higgs:16 light:18 grant:2 acknowledged:1 correspond:2 so:3 davier:1 sm:1 ohmann:2 increase:4 order:1 typical:1 help:1 expects:1 produced:1 spergel:1 through:1 lsp:23 mentioned:1 cold:1 still:2 its:2 group:3 fit:1 decay:16 chosen:1 interesting:3 kelley:2 decreases:1 actually:1 absence:1 production:7 fig:12 main:2 might:1 supersymmetry:7 ly:1 motivated:1 band:3 msugra:4 they:2 bogoliubov:1 discuss:1 nos:1 2u:1 february:10 several:2 2q:1 lepsusy:4 possibilities:2 hadronisation:1 inequality:1 mode:4 each:2 european:1 side:1 constraints:4 heavy:2 reactions:1 financial:1 generation:2 energy:3 revised:1 squark:2 decays:2 expect:1 year:2 laboratory:1 operation:1 beyond:2 eq:1 ep:1 out:1 ru:3 shown:4 matrix:1 kazakov:13 space:19 m2t:2 rep:1 since:5 rev:7 projected:1 research:1 looking:1 mediated:1 wide:3 pukhov:3 ref:1 shows:1 mχ:2 polonsky:1 interactions:2 diagonal:1 possibility:4 quite:3 completely:1 formation:1 besides:1 dubna:1 created:1 could:1 place:3 hence:1 hadrons:1 colliders:1 first:3 exotic:1 already:1 symmetry:2 tata:1 another:2 vainshtein:1 xs:1 open:1 given:3 introduction:1 top:3 cheremushkinskaya:1 relations:1 their:2 intermediate:1 baryon:1 moscow:3 electroweak:1 part:1 than:2 yndurain:1 distance:1 1x10:13 kindly:1 instruction:10 see:5 annihilation:3 matter:1 future:1 contrary:1 were:1 allanach:2 minus:1 ehret:1 spectra:1 comput:1 correction:1 modern:1 spectrum:1 curves:2 trilinear:1 seen:1 constrained:1 saw:1 relatively:3 depending:1 latter:2 gravity:1 mechanism:3 phillips:1 fitting:1 take:2 analogy:1 detector:3 switching:1 troconiz:1 lectures:3 towards:1 fundamental:1 though:1 2tl:4 collaboration:4 reach:1 most:1 charm:1 letter:1 2tr:4 pair:3 acknowledgements:1 why:1 branching:1 consequences:2 considered:1 mediation:1 vertices:1 curie:1 proceedings:1 points:1 roeck:1 boson:3 physics:8 signatures:1 show:3 gauge:2 keywords:1 corner:2 fine:2 ratio:1 parameters:2 should:2 only:6 version:1 coannihilation:3 achieve:1 dominant:1 gev:38 get:2 kamionkowski:1 rept:2 stop:36 satisfied:2 joint:2 preparing:1 new:2 report:1 during:1 secondary:1 processes:2 luminosity:1 arxiv:1 summary:1 34th:1 fixed:1 hikasa:1 www:2 requirement:1 exists:2 imposing:1 lifetimes:2 langacker:1 detection:1 depends:1 sec:4 close:4 particle:3 roberts:1 αs:1 nuclear:1 delphi:1 enough:3 various:2 snowmass:1 tens:1 boundary:1 discovery:1 notice:1 terms:2 missing:1 jv:1 weak:1 however:4 boudjema:2 4m2t:1 suppressed:1 lopez:1 received:1 cos:2 cot:3 limits:11 region:20 asymmetry:1 distinguished:1 etc:1 faces:1 contribution:2 disappears:1 finds:1 experimental:3 cmssm:1 ch:3 point:1 corresponds:2 lep2:1 likes:1 moreover:1 highenergy:1 unusual:1 strong:1 mssm:9 publishing:1 nomura:1 radiative:3 due:2 cent:1 quickly:1 pb:4 micromegas:2 combined:2 interest:2 expected:1 ph:11 lived:5 supersymmetric:2 great:1 c1:2 standard:3 case:4 bχ:2 selectron:1 pacs:1 value:1 ministry:1 cern:4 near:2 situation:1 barger:2 eur:2 couplings:1 mpla:10 eidelman:1 larger:2 mz2:2 phenomenological:2 thus:1 iv:1 ii:1 middle:1 triple:2 tχ:2 susy:9 mod:2 ib:1 disappear:1 rfbr:1 different:11 education:1 sensitive:2 border:16 make:2 opal:1 cross:7 html:2 widely:1 phenomenology:1 nanopoulos:2 gets:3 events:1 higher:1 literature:1 http:3 effect:1 moment:3 codes:1 kim:1 changing:1 mentioning:1 tasi:1 off:1 modes:6 scenario:4 nilles:1 whole:1 no:1 well:4 increases:2 severe:1 model:3 left:4 muon:1 emerge:2 being:1 boer:5 scipp:1 web:2 generator:1 density:5 griest:1 day:2 lett:9 nlsp:4 input:1 heavier:1 ross:2 increased:1 easily:1 big:2 breaks:1 possible:1 dark:1 fusion:1 unification:2 background:1 world:2 accepted:1 ruled:1 like:2 excluding:1 4mw:1 follows:1 porod:1 imposes:1 martin:1 popular:1 become:4 soft:2 battaglia:2 right:2 namely:2 phenomena:1 passera:1 suppl:2 diagonalizing:1 happens:2 ellis:4 bottom:4 quarks:1 cχ:3 overlap:2 pape:1 does:1 demonstrated:1 l3:1 scientific:2 huber:2 pp:1 post:1 tuning:2 comparison:2 baer:1 constraint:4 universe:1 months:1 discussed:2 dependence:1 range:2 gianotti:1 berger:2 letters:1 into:2 within:1 bound:1 predictions:1 down:2 neutrality:1 references:1 proportional:1 furstenau:1 per:1 sander:2 hep:13 log:1 area:4 support:1 there:5 nucl:3 long:5 low:5 jinr:3 biggest:1 sections:5 opens:1 function:1 kane:1 relic:5 some:4 but:2 neutral:1 russian:3 line:15 longer:1 staus:1 inside:1 up:2 below:4 limit:6 diagrams:3 benchmarks:1 manuel:1 problem:1 similar:2 called:2 ex:2 later:1 defined:3 universal:1 ez:1 influence:1 covers:1 teubner:1 single:1 exist:2 file:10 our:2 lifetime:3 moves:3 happen:1 fizika:1 again:1 functions:1 compared:1 dotted:2 variety:1 when:8 detail:1 event:1 other:2 theor:3 conclusion:1 picture:1 stau:9 calculating:2 models:2 heinemeyer:1 kraml:3 a0:12 stops:17 searches:1 coupling:2 corresponding:1 required:1 curve:1 mass:26 time:1 international:1 paige:1
0704.1430.txt |@word represent:1 externally:1 code:2 consider:2 heggie:2 capaccioli:1 hint:3 luminosities:3 results:2 four:1 iim:1 supplement:1 smecker:2 per:4 grateful:1 edu:1 follow:2 bvi:1 monelli:4 seemed:1 synthetic:1 whose:5 afonso:1 overlapping:1 calculate:1 re:2 producing:1 young:12 send:1 environment:2 finally:1 indicate:1 those:1 marks:1 include:1 friendly:1 applied:2 updated:1 random:2 deeper:2 very:10 could:1 assuming:1 dell:1 probability:3 shetrone:1 dispersions:1 affect:1 difference:3 encounter:1 entire:1 coeval:1 internally:1 evolved:4 presented:2 deficient:1 turns:1 cmd:4 hawaii:1 fhb:25 large:3 small:1 outer:1 drop:1 origlia:1 noted:1 added:1 recio:3 upper:3 strongly:1 slower:2 occurrence:2 faintest:1 trend:1 consistent:1 among:1 progenitors:1 fold:1 likely:2 asp:3 pasp:1 perspective:2 47tuc:1 further:3 dynamics:2 estimated:7 blue:41 employ:1 what:1 disk:2 hide:2 sub:1 incompatible:1 reaching:1 remain:2 find:3 current:1 reconstruction:1 ursa:20 increasing:1 ever:1 public:1 coefficient:5 rosenberg:1 frinchaboy:1 dwarf:73 degree:1 exchange:1 mem:2 galaxies:74 compilation:4 dorman:1 residual:1 here:1 leo:26 youngest:1 reported:4 explore:1 intercept:1 them:1 separate:1 address:2 l29:1 ratio:6 along:1 standard:4 respect:2 extreme:1 great:1 flames:1 wilkinson:2 institute:1 study:2 larger:2 allows:1 contradiction:1 leaving:2 chemical:1 survey:2 poisson:1 milky:6 usually:1 studies:3 explain:4 genuinely:2 italiana:2 offs:1 via:2 useful:2 although:4 classification:1 apr:1 possessing:2 photometric:6 ωcen:3 highly:1 apj:21 addressed:1 vc:17 wyse:4 evans:2 anomalies:1 counts:6 total:4 establish:1 plot:2 use:3 usa:1 remains:3 positive:1 physics:1 scenarios:1 few:4 fagotto:1 therefore:4 typical:1 survive:1 associated:1 paltrinieri:1 prep:2 diagrams:3 more:11 separated:1 anticorrelation:2 rich:2 populations:5 composite:1 correlate:1 corrected:1 m80:1 tested:1 zoccali:1 guarantees:1 babu:3 normalized:1 fusi:2 excellent:1 known:3 iii:6 sculptor:4 must:2 ii:34 account:4 sarajedini:2 word:1 ser:3 simone:1 recall:2 work:1 rood:3 mateo:5 mu:7 mw:3 mv:27 mnras:1 ms:19 following:2 example:3 history:3 nearest:1 compare:1 conf:3 figure:4 december:1 dolphin:1 table:1 near:2 sample:14 collision:5 performed:1 magnitudes:3 sought:1 exclude:4 robishaw:2 calculated:1 absolute:1 compatible:1 needs:1 strongest:1 rather:6 discussion:2 globular:41 feature:3 regions:2 located:1 need:1 gallart:2 fourth:1 significance:2 answer:1 instead:1 firmly:2 parameter:3 fbss:2 bressan:1 product:1 galactic:14 l51:1 may:7 await:1 derived:7 different:2 shectman:1 diagram:4 catalog:2 produce:1 fe:1 giampaolo:1 ties:1 horizontal:4 data:12 compatibility:1 ambiguous:1 aj:15 gullieuszik:1 attempt:1 dynamical:5 third:1 sets:2 light:5 lines:2 correspond:1 cosmology:1 fraction:1 davies:4 sect:2 allow:1 decreasing:1 taking:1 order:2 willman:6 tolstoy:2 interpretation:1 help:1 elliptical:1 indeed:6 over:2 despite:2 mainly:3 osservatorio:2 interpreted:3 produced:1 held:8 paper:4 through:2 nbss:3 spheroidal:14 argued:1 beccari:1 still:1 its:5 galaxy:18 before:2 observational:3 rizzi:5 mighell:3 derive:3 group:3 exclusion:1 fit:1 majewski:5 chips:1 sollima:1 estimating:2 detected:3 primordial:12 systems:9 inaf:2 mail:3 main:6 defining:1 easier:2 archival:4 emphasize:1 correspondence:2 non:7 incompleteness:2 affected:1 sword:1 bellazzini:2 outlined:1 safe:1 regarding:1 enrico:1 primary:1 resolve:1 subtraction:1 noz:7 half:4 rotation:1 now:2 halo:7 possess:6 represents:1 february:1 acceptably:1 sandage:2 always:2 level:8 castelli:2 realistic:2 good:1 magnitude:3 bono:1 ifa:1 each:1 references:3 difficult:2 ters:1 investigators:1 homogeneous:3 square:1 covered:2 instability:1 nidever:1 hard:3 frequency:49 interplay:1 measure:1 our:8 bluer:2 out:2 shown:1 rr:2 space:1 since:3 rev:1 increase:3 collisions:4 grebel:1 hill:1 reader:1 suggesting:1 squares:1 red:2 shows:9 foreground:3 provide:2 turning:1 linear:3 found:5 southern:1 mechanisms:1 ntt:6 possibility:1 quite:4 necessarily:1 formation:14 imaging:4 put:1 org:1 estimate:9 lmc:3 temperature:2 buonanno:1 reflect:1 r1:2 isochrones:3 carraro:2 recipes:1 so:1 times:2 turn:4 plane:1 place:1 massive:3 transfer:3 clump:4 marigo:1 first:3 origin:2 major:7 already:1 manuscript:1 nhb:3 variables:1 number:11 bertelli:3 production:5 reflects:1 relations:1 another:2 sabbi:1 discriminator:1 open:16 summarize:1 size:2 pryor:2 given:2 ancient:1 discussed:4 similarly:1 introduction:1 tral:1 system:2 least:3 their:16 intermediate:4 observations:1 iau:1 structural:1 hundred:1 final:1 kleyna:3 inner:2 stars:36 mostly:1 alonso:1 blitz:2 relative:2 continuous:2 contribute:1 cmds:3 assumption:1 sextans:11 gyr:7 honolulu:1 manifestation:1 explained:1 branches:1 than:16 coefficients:1 population:32 peaked:1 observed:12 l41:1 observatory:1 unfortunately:2 showed:1 horizons:1 double:1 rate:3 aims:1 normalizing:1 matter:1 absence:3 were:6 toward:1 sills:1 displays:4 pre:1 function:5 accounted:1 preston:6 l53:1 peculiar:2 randomly:1 say:1 tables:2 keller:4 close:5 quency:1 confirms:2 border:1 any:3 relatively:3 l109:1 ıa:1 genuine:6 exceptions:1 latter:1 able:1 aside:2 note:2 vandenberg:1 high:6 edge:1 2006b:1 negligible:1 harbeck:1 channel:1 l111:1 ortolani:2 santiago:1 experienced:2 beyond:1 fundamental:1 opposite:1 track:1 cˆot:1 correlation:26 reach:1 bss:139 most:9 errors:3 importantly:1 but:3 significant:8 successive:1 phase:2 adds:1 acknowledgements:1 precludes:2 lee:5 salasnich:1 episode:3 subtracted:1 considered:2 systematically:1 clear:2 sometimes:1 metal:4 drive:1 face:1 ferraro:10 points:7 velocity:5 differ:1 typically:1 fact:3 quantity:1 slope:1 pecci:2 selection:4 show:2 reductions:1 text:1 detection:5 authors:1 discovered:2 cvn:1 radii:2 threshold:2 consequent:2 availability:1 ground:1 impact:1 m54:1 giant:2 based:5 parameters:1 plume:26 distributed:1 enough:1 should:8 colloq:1 brighter:5 only:4 sneden:4 ambiguity:3 factor:2 various:1 truncation:1 local:2 interested:1 probabilities:1 areal:1 do:2 incorrect:1 dominant:1 sagittarius:18 invoke:2 di:1 displayed:1 de:8 overall:2 da:3 cannot:5 words:1 new:4 respectively:5 delgado:2 collisional:13 having:1 dependencies:1 kindly:2 evolution:10 cordova:1 bar:1 luminosity:19 coalescence:1 arxiv:2 multi:1 yield:1 wfpc2:7 investigate:1 predicted:1 activity:1 fainter:3 including:1 discovery:1 oapd:1 l119:1 bars:1 set:1 statistical:2 exists:1 signs:1 l85:1 epochs:2 ara:2 see:12 radius:5 european:1 discussions:1 catalogs:5 heavy:1 uncorrelated:1 subject:2 detect:1 aforementioned:1 extend:1 measurements:1 favor:5 outside:1 identification:1 envisage:1 between:12 probably:3 moretti:1 encounters:1 wide:1 available:1 gives:1 comparable:1 attention:1 recently:3 statistically:2 vertical:5 nature:1 importance:1 confusion:1 handful:1 however:13 spectroscopic:2 york:1 woodroofe:1 hypothesis:1 key:1 contamination:4 rapidly:1 come:1 stragglers:7 thank:1 suggested:1 observable:2 providing:1 last:1 limits:1 many:2 region:2 density:4 attributed:1 called:1 april:1 families:1 l141:1 context:5 interesting:3 exceeds:1 harbor:1 requests:1 com:1 finds:1 meylan:4 nemec:1 comment:1 aa:1 hatziminaoglou:1 fields:1 point:4 color:1 seems:1 environments:3 anti:13 sequences:2 wider:2 constant:1 throughout:1 second:1 zaggia:4 carina:16 trager:2 would:6 due:7 been:12 mark:1 mart:2 pc:4 much:5 collected:1 ph:2 prototype:1 anomaly:2 correction:1 fig:8 concentrated:1 life:1 myr:3 corresponding:1 unavoidable:1 both:3 ınez:2 quantities:1 gas:1 search:1 observe:1 understand:1 chile:1 clusters:46 general:3 djorgovski:3 present:5 case:10 olszewski:1 exception:1 wfi:1 resulting:1 might:4 marchi:4 value:3 will:2 while:4 pancino:1 shall:1 error:1 properly:1 feigelson:3 lyrae:2 della:1 detailed:1 uncertainty:1 almost:2 secondary:1 thus:8 surprisingly:1 surface:3 iv:3 obeying:1 cluster:17 relying:1 vs:2 globulars:3 datapoints:1 helium:1 regression:1 diagnostic:4 greater:1 binary:5 confirmed:2 momany:19 italy:1 propagation:1 suggest:5 make:2 intrinsic:1 connection:1 same:2 clearly:1 epoch:2 extremes:2 arguments:1 established:1 largest:1 irregulars:1 several:2 pal:1 infer:1 higher:8 improve:1 independent:1 used:3 cacciari:1 comprehensive:1 published:1 upon:2 siegel:4 hane:2 hand:2 feltzing:3 helped:1 delicate:1 koch:2 fornax:2 houdashelt:1 contribution:1 mosaic:1 recent:10 relies:1 costa:3 lower:11 off:3 center:5 scenario:1 older:1 nevertheless:2 makes:1 blanco:3 well:5 enrichment:1 analysis:5 regressions:1 thought:1 peculiarities:1 calibrated:1 experimental:1 components:1 simulated:1 become:1 binaries:14 cepheids:3 left:1 distances:2 less:2 being:1 l65:1 fueling:1 sights:1 sources:1 astronomica:2 distant:1 aspect:1 immediately:1 regardless:1 yet:1 previous:1 sampled:1 cut:1 l125:1 conclusions:4 similarities:1 brightness:3 had:1 woodlawn:1 weiss:1 apjs:1 add:1 internal:1 plumes:1 matched:1 remaining:5 details:2 saturation:1 marco:1 cassisi:4 around:2 lacking:1 easily:1 conclude:2 showing:2 astronomico:1 possible:2 unveil:1 possibly:1 boxes:4 kpc:4 background:2 average:1 using:3 accepted:1 stetson:2 necessary:1 like:8 excluding:4 bulge:2 interestingly:4 performing:1 specific:7 collect:1 either:4 fully:1 decrease:1 reduced:1 therein:2 exceed:2 right:2 old:9 methods:2 aparicio:12 sequence:15 some:1 dwarfs:3 understood:1 trends:2 towards:1 gilmore:4 expected:1 moreover:1 sen:1 multiple:1 uncertainties:3 patterson:1 provided:1 highlighting:2 illustrated:1 remind:1 normal:5 exceeding:1 overlap:2 conservative:1 saviane:8 does:4 periphery:1 provides:1 tends:1 eso:7 core:3 particular:5 obey:1 disentangle:1 problems:1 bo:7 notable:1 agreement:2 stellar:12 how:1 unambiguously:1 indicator:1 hst:12 2m:2 plots:1 post:1 refers:1 properties:3 panel:15 comparison:2 about:1 photometry:3 central:6 bimodal:1 extension:7 mcgraw:1 tracing:1 vicolo:1 dependence:2 l17:1 acs:2 distinct:1 range:1 gallagher:1 mean:3 consequently:1 groenewegen:2 cutoff:3 burning:1 presence:5 orders:1 bevington:2 into:1 within:1 year:2 garc:1 three:1 belokurov:5 lies:1 appropriate:1 because:1 rising:1 strip:1 lastly:3 hesser:1 otes:7 physical:1 often:2 bedin:5 rely:1 span:2 log:6 her:1 area:3 extremely:1 support:1 there:5 specifically:1 plotted:1 dispersion:4 anderson:1 hebb:1 low:9 way:7 l137:1 astrophysics:1 was:4 lowest:5 tight:1 consumption:1 form:4 forming:10 becoming:1 regard:1 extended:6 astro:2 indicators:1 hi:1 corsi:1 hb:17 line:2 highest:2 true:1 considerable:1 societa:2 padova:2 made:8 compute:1 holtzman:2 up:1 us:3 below:1 limit:3 minor:13 highlight:2 distribution:6 panels:2 similar:11 display:1 expect:1 originating:2 hurley:4 hotter:1 worthwhile:1 veiling:1 defined:1 cover:1 abstract:1 received:1 deep:1 evidence:5 single:2 together:1 simulations:2 accounting:2 gradients:1 chiosi:1 draco:10 regime:2 metallicity:1 again:1 compared:3 completeness:1 puzzling:2 no:5 dashed:1 whereas:2 field:11 other:7 carrera:7 branch:3 spatial:2 piotto:18 conclusion:1 poor:4 angeli:3 star:29 girardi:4 models:2 searched:1 asterisk:1 renzini:1 arcmin:1 important:1 allowing:3 coverage:2 studied:1 included:1 astronomy:4 needed:2 structure:1 offprint:1 implies:1 anomalous:3 eff:1 normally:1 age:3 rule:1 spheroidals:4 investigated:1 king:2 mass:8 carlin:1 resembles:1 walker:2 beers:1 once:1 original:1 classical:1 basically:2
0704.1431.txt |@word partial:4 consider:2 similarity:1 commute:1 computation:1 edu:1 homomorphism:2 alt:3 gl:2 row:1 whose:5 preserves:1 15a18:1 combinatorial:1 graph:94 ryser:1 aut:34 th:3 under:1 undirected:1 biggs:1 ihara:2 springer:1 corollary:6 every:4 matrices:6 riemann:1 irreducible:12 t2:3 assignments:1 convenience:1 eigenvalues:4 det:14 zg:6 direct:1 fold:2 displays:1 linear:7 will:1 fℓ:3 appear:1 invertible:2 complexities:1 section:7 expressed:3 networks:1 bass:1 new:2 simultaneously:1 lee:11 degree:15 newyork:1 respectively:8 here:1 groups:1 address:3 calculate:1 obtained:2 bartholdi:14 technical:1 study:1 studied:3 permutation:21 action:7 deg:2 useful:1 projection:2 classification:1 apr:1 diagonalizable:1 replace:1 sgn:2 univ:1 bundles:19 sµ:2 next:2 m1:1 therefore:1 theoretical:1 adjacency:12 kn:24 doob:1 basically:1 particular:4 known:4 projective:1 cardinality:1 cay:12 multilinear:1 ρi:19 recall:1 mi:13 following:7 example:1 proof:2 f1:4 f2:3 νg:14 νf:23 numbers:2 spanning:11 counting:1 verlag:1 provide:1 feature:1 mµ:1 maps:1 adjacent:3 sato:4 map:2 product:7 algebra:2 replacing:1 wiley:1 derived:2 orbits:1 applications:2 adic:1 fg:32 cambridge:2 fi:6 meaningful:1 efficiently:1 entry:4 natural:1 kwak:5 spectra:2 st:1 complexity:5 combin:4 sn:3 definitions:1 order:6 typical:1 over:8 paper:2 london:1 mentioned:1 japan:1 its:6 diagonalized:1 group:19 enseign:1 imi:6 forms:1 html:1 maia:1 derivative:6 serre:1 count:1 tucker:1 abreu:1 they:2 now:9 yu:1 discuss:1 fi2:1 represents:1 fks:1 invariants:1 university:5 oppositely:1 each:9 found:3 ifi:6 mean:1 subset:1 weighted:3 another:1 05c50:1 ed:1 hard:1 idea:1 our:3 shown:2 network:1 discrete:2 furthermore:3 since:7 induces:1 research:2 may:1 mγ:11 comprehensive:1 denoted:2 math:6 fiber:3 theory:9 diagonal:4 standard:1 base:1 york:2 definition:1 cvetkovic:3 phrases:1 ist:1 counterpart:1 δij:2 hence:4 generalizations:1 first:2 initial:1 features:1 variables:2 number:13 degg:2 ℓi:7 degf:1 representations:6 ser:4 given:3 perturbation:1 dedekind:1 introduction:2 construct:1 dfk:1 1h:1 structures:1 gives:1 jurkiewicz:1 outline:1 showed:2 tree:2 classes:1 brualdi:1 generalization:2 say:1 conjugate:2 disjoint:1 citeseer:1 any:14 lie:5 depending:1 internat:1 note:2 gφ:2 k1:14 generalized:29 εg:7 subject:1 lipton:1 kyung:6 most:1 regular:14 connected:15 automorphism:2 formulae:7 pair:2 class:1 cc:2 pathes:1 observation:1 kk:2 kj:2 clear:1 vertices:8 bipartite:1 graphs:13 sohn:1 χn:1 left:1 sum:1 χi:7 kite:1 show:4 supported:1 relation:1 tµ:2 analogue:1 trivial:3 find:11 principal:1 fibre:1 representation:18 topological:1 terminal:1 only:2 generators:1 summarizing:2 abelian:7 dk:4 di:2 df:1 dg:6 de:1 trees:9 words:2 report:1 kyungpook:1 covering:5 fields:1 arxiv:1 multiplicity:5 set:18 computed:2 exists:3 national:1 see:5 cofactor:1 review:2 symmetric:5 various:1 µd:22 schreier:10 notice:6 korea:3 recently:1 complement:1 uj:2 efficiency:1 hypothesis:1 key:1 demonstrate:1 article:1 reverse:1 cayley:3 many:2 taking:1 equal:1 nµ:4 vℓ:2 comes:3 otherwise:2 co:1 simple:2 overview:1 2nd:1 subgraphs:1 grants:1 simply:1 polynomial:29 respect:1 zeta:20 cu:1 bλ:8 considering:1 commutative:1 union:1 mizuno:4 sachs:1 laplacian:3 define:2 determinant:1 corresponding:5 commutes:1 representative:1 mail:3 c0:5 present:1 case:3 reciprocal:3 evaluated:1 aim:1 suppose:1 aij:10 hubs:2 unitary:1 vi:6 vj:3 vk:4 thus:4 ii:1 ij:6 different:1 cartesian:7 fibers:2 terras:1 clearly:1 complex:2 finite:9 european:1 http:1 catholic:1 assignment:15 kij:2 v2:4 edges:4 kim:13 identity:3 subgroups:1 suitable:2 well:2 analysis:1 academic:1 edge:14 coordinate:1 fk1:5 model:2 knu:1 subgroup:9 just:4 obtain:2 voltage:16 immediately:2 facts:1 λi:6 adv:1 oliveira:1 similarities:1 character:1 lattice:1 interested:1 easy:1 theorem:17 iσ:1 identical:1 taegu:2 bij:1 rµ:4 characters:1 decomposed:1 press:3 using:5 korean:1 psu:1 follows:7 automorphisms:1 semifree:1 either:3 terminology:1 because:1 classical:1 some:4 b0:6 examples:1 moreover:2 images:5 star:1 gross:1 connecting:5 problems:1 journal:1 cambrige:1 bundle:14 substitution:2 properties:3 algebraic:2 introduced:2 consequently:2 ida:5 soc:2 computational:6 digraph:6 image:1 isomorphic:2 square:1 references:1 been:2 git:1 weight:1 there:4 u1:5 stark:1 u2:6 call:3 was:3 function:16 complete:3 subgraph:1 δkj:1 but:3 δki:3 construction:1 he:1 directed:4 applying:1 characteristic:48 uv:1 ωi:6 considered:1 v1:5 ui:4 coverings:4 pφ:2 similar:7 called:6 ac:3 associated:5 chae:1 defined:7 selberg:1 abstract:1 general:1 functions:10 nn:1 kr:3 detail:1 field:1 other:3 department:2 mathematics:5 nice:1 denote:8 vertex:10 polynomials:22 generated:3 important:1 variable:1 matrix:37 dω:5 assume:1 together:1 original:1 having:6
0704.1432.txt |@word represent:2 gt:2 consider:4 results:4 gf:3 gc:4 computation:10 edu:1 cameron:1 follow:1 children:1 compact:1 whose:1 careful:1 calculate:1 tr:5 tp:4 tq:5 tn:6 tm:5 indicate:1 tk:1 under:1 ingredient:1 alternating:34 case:18 string:1 r11:1 desired:1 choice:2 corollary:7 every:3 orientations:7 decide:2 entries:2 look:5 problemas:1 t6:1 proc:2 t4:1 t5:1 t2:9 t3:4 t1:3 large:1 convenience:3 vector:3 o1:19 section:10 braid:2 smaller:2 2k1:3 2k2:3 foundation:1 dimensional:1 sign:27 2kj:2 fold:2 second:11 arborescent:3 further:1 odd:34 pmi:3 pmj:1 canonical:10 even:63 trivial:1 3q:1 sakuma:1 en:2 sur:1 above:6 new:5 increasing:1 method:1 nakamura:1 coefficient:7 lee:10 degree:18 mem:1 respectively:4 component:4 here:1 exceptions:1 pub:1 groups:1 address:2 directions:11 path:1 along:3 respect:2 gabai:4 change:6 obtained:10 remark:6 covers:1 root:2 study:1 studied:2 funded:1 resulting:2 pe2:3 pick:2 suitable:1 makes:2 beautiful:1 named:1 useful:1 divide:2 classification:1 extra:1 apr:1 baskets:1 replace:1 apply:1 univ:2 kobayashi:2 recurrence:1 use:10 links:72 would:1 prove:6 remains:1 positive:10 negative:5 next:1 comparing:2 depicted:2 quasipositive:2 call:1 therefore:2 taken:1 means:2 tell:1 more:6 flat:3 kinokuniya:1 comparison:1 composite:2 thus:3 company:1 particular:2 known:3 cases:13 σ1m:1 annuli:5 shinohara:2 none:1 tokyo:2 deformed:2 recall:1 equation:8 work:2 values:1 hope:1 following:14 trans:2 2tq:2 example:1 abbreviate:1 proof:17 f0:6 2li:2 figure:31 expanding:1 minimum:3 murasugi:4 want:1 absolute:2 goal:1 s3:5 s2:1 plumbings:1 holds:2 feature:1 braids:5 write:1 how:3 nontrivial:7 pure:1 ignore:1 classify:1 plans:1 algebra:2 may:5 after:1 singularities:1 diagram:26 applications:3 mac:1 produce:1 representations:1 unlink:2 2l1:9 parallel:1 2l3:1 2l2:10 drop:3 natural:2 outline:1 third:1 os:2 fibers:2 si:1 branched:5 so:7 fundamental:1 lα:1 plumbing:6 definitions:2 discussion:1 helv:1 produces:1 numbers:2 p1i:1 over:2 move:8 mainly:1 paper:1 including:1 enumeration:1 counterclockwise:1 signs:5 existence:2 satisfies:1 still:1 its:5 before:1 horizontally:1 group:2 thank:1 enseign:1 chosen:1 interesting:2 lj:3 li:5 lv:5 choose:6 lp:7 mail:2 weeks:1 might:2 into:3 happened:1 freeman:1 them:1 usa:2 inductively:2 runs:1 number:38 57m27:1 they:2 57m25:1 montesinos:1 yu:1 nor:1 2t:1 represents:1 term:9 equality:2 2s:1 invariants:10 university:2 classified:1 oppositely:1 did:1 inequality:8 l2:11 l1:6 crossing:8 found:6 unknots:1 2k:1 homogeneous:1 weighted:1 ei:1 weight:1 ej:2 osaka:2 idea:1 hara:2 extended:1 expect:1 combining:1 our:1 operation:2 unknotted:2 orient:1 es:2 ftp:2 shown:5 space:2 since:16 research:2 increase:1 combinatorial:2 conjectured:1 denoted:8 formula:2 get:7 induced:1 ri:3 math:22 shows:1 torres:2 theory:5 free:8 standard:2 completely:1 base:1 e1:28 definition:1 chose:1 tangles:1 geometry:1 phrases:1 keep:1 gordon:1 signature:2 consequence:1 promotion:1 crossings:13 first:17 knots:56 already:1 rooted:1 primary:1 linking:1 franks:2 relations:2 kobe:3 tangle:1 constructing:1 given:8 fk:6 fibered:2 hyperbolic:7 introduction:1 leading:6 top:3 twisted:2 least:6 their:4 types:1 structures:2 williams:2 gives:2 grant:1 geneva:1 intell:1 exactly:5 park:1 part:4 norms:1 completes:3 tex:2 showed:3 princeton:1 double:3 to1:1 tree:11 namely:1 bex:1 computer:1 hoste:1 punctured:1 twisting:1 cn:1 san:1 generality:2 mino:1 ann:4 argument:2 knoten:1 say:1 2t3:1 need:3 any:4 constructions:2 rochester:1 zero:4 min:1 menasco:2 rudolph:3 oriented:3 k2:3 k1:3 edge:2 generalized:1 forces:1 neither:1 circles:1 trefoil:1 incompressible:1 unless:3 unknot:5 opposite:14 2tk:1 most:2 connected:3 formulae:4 pair:2 annulus:2 isotopic:1 ki:1 cover:2 vertices:7 kr:2 plumbed:1 parenthesis:1 skein:4 sum:7 fact:3 science:1 show:8 supported:2 notations:2 spaces:2 relation:2 carefully:1 2gc:1 ca:2 pki:1 d2:4 find:24 explain:1 less:3 lickorish:2 than:3 lemma:13 only:15 going:2 notes:1 geometric:4 hopf:1 rectangle:1 do:1 dl:2 seifert:59 handle:3 goes:1 notation:4 exceptional:3 kosef:1 genera:9 stop:1 cannot:1 valuable:1 words:1 compute:4 him:1 alexander:9 prime:9 regarding:1 covering:2 arxiv:2 pretzel:87 acknowledgments:1 bae:1 through:1 fixed:2 set:2 computed:1 exists:4 com2:1 package:1 depends:2 arc:2 geometrically:1 result:4 japan:1 sem:1 subject:1 surfaces:19 instance:1 said:1 potential:2 inequalities:2 representatives:3 macros:1 closed:3 between:3 boundary:3 available:1 korea:4 terms:2 hecke:1 modify:1 complement:1 focus:1 interpolate:1 hypothesis:3 key:2 article:1 amer:4 come:1 topology:9 parentheses:1 last:1 irregular:1 always:1 many:2 taking:1 figures:2 genus:77 comes:1 otherwise:3 comment:1 among:3 ci:3 author:3 conclude:2 recursive:1 ac:2 fibred:4 pon:3 represented:1 non:1 poi:6 polynomial:29 moreover:1 throughout:2 2kn:3 pp:1 described:6 pt:15 equations:1 due:1 been:5 2ki:1 ai:2 z2:1 basic:1 pj:2 pk:1 pi:37 pn:22 pl:4 differently:1 box:14 direction:6 general:4 o2k:14 sufficient:3 po1:3 hayashi:1 fund:1 representative:2 c2:1 c1:1 moehrd:1 fl:6 p2:18 p3:1 multi:1 p1:35 classifications:1 basket:21 postscript:1 lz:2 ǫi:2 ǫn:1 value:4 will:23 contemp:1 suppose:12 applies:1 property:1 vectors:1 orientation:24 almost:17 twists:5 vk:9 vl:2 surprisingly:1 surface:46 iv:1 ii:8 ramifications:4 vanish:1 binary:1 different:2 handled:1 nakagawa:4 generic:1 arguments:2 make:1 government:1 same:17 clearly:1 parts:1 split:3 several:2 satellite:2 used:5 see:17 again:1 effect:1 edges:2 purpose:1 kim:11 expand:1 kauffman:1 macro:1 well:1 without:2 components:8 easily:1 left:4 construct:1 just:1 orientable:1 generally:3 half:1 obtain:2 rest:3 torus:33 integer:2 alternative:1 previous:3 note:1 like:1 preprint:1 infinitely:1 point:1 except:6 book:1 easy:2 theorem:30 complements:1 remaining:1 euler:1 thurston:1 bands:1 showing:1 decomposed:1 possible:7 outmost:1 boxes:11 knot:27 press:1 using:10 ams:3 unique:1 mod:4 loss:2 moriah:2 nakanishi:1 stallings:1 adams:4 follows:7 untangle:1 either:9 arbitrary:4 valence:4 essential:1 right:3 pl2:1 classical:10 sequence:1 sympos:1 some:11 pacific:1 calculated:2 choosing:1 mirror:4 proper:2 nonzero:4 separately:2 pet:2 thistlethwaite:1 ohyama:1 extensively:2 comments:1 pes:3 providence:3 2g:6 pei:9 pej:1 o3:17 o2:29 minimal:27 refer:2 plv:1 plp:1 deleted:1 each:3 expansion:1 bk:8 2l:35 properties:1 von:1 stage:1 integers:6 about:1 oj:3 oi:43 algebraic:4 freedom:2 pe1:1 o:38 2i:2 trefoils:1 eight:1 introduced:1 krf:1 soc:5 computational:1 conway:26 pergamon:1 image:2 2tr:2 integral:1 three:3 because:6 references:1 wada:1 methods:1 van:1 pl1:1 combinatorics:1 das:1 strictly:1 there:18 appl:1 low:1 typesetting:1 was:5 function:1 complete:1 form:2 but:19 volume:1 construction:1 link:61 repeatedly:2 highest:1 true:1 harer:1 count:1 applying:9 stanford:2 characteristic:1 up:1 us:7 until:3 3t2:1 similar:2 called:5 clear:1 uber:1 pij:1 proved:1 defined:3 abstract:2 contribute:1 proven:1 denote:4 images:2 together:1 corresponding:3 moves:14 constructed:2 ni:3 functions:1 morton:1 no:8 when:2 vanishes:1 ny:1 other:3 special:1 becomes:1 department:2 mathematics:3 nice:1 hosokawa:1 francisco:1 vertex:7 polynomials:19 helpful:1 bounded:1 crowell:2 variable:1 intuitively:1 jones:13 algorithm:14 assume:7 rule:1 strings:2 4l:1 weights:1 starting:1 original:1
0704.1433.txt |@word monte:20 descartes:1 evidence:1 consider:10 chain:1 particular:1 brownian:27 results:7 ds:4 existing:1 leads:1 scalar:2 proposition:7 asian:27 computation:13 intricate:1 devoted:1 γz:2 inverse:1 depend:3 γs:1 graph:2 description:1 technique:9 ξt:28 including:1 γt:16 presents:1 uniqueness:9 program:1 tj:1 under:19 lord:2 presentation:1 applied:4 random:25 risk:4 advantage:2 very:5 pages:1 rise:2 springer:2 choice:6 valued:2 additional:2 fall:1 exact:47 condition:5 zti:5 entire:1 num:3 unlike:2 solves:3 presented:6 did:1 bessel:1 t4:1 having:3 t2:24 solution:18 t1:6 large:3 discrete:2 zui:6 team:1 small:2 markov:3 shows:1 round:1 martingale:11 upper:5 work:4 neighborhood:5 nineties:1 dealing:1 measurable:5 demonstrations:1 sign:3 approximation:1 rate:13 perspective:1 pass:1 zt:140 further:1 mj:1 carlo:20 quite:1 canonical:1 even:3 errors:1 developed:1 stands:1 eδt:1 itˆ:7 sum:2 jourdain:2 near:2 uniform:2 en:4 sur:1 above:6 sup:8 new:9 falling:1 increasing:1 method:32 coefficient:12 simultaneously:1 exponentials:2 degree:1 vall:1 respectively:5 doing:1 realizations:1 here:1 desired:1 slow:1 address:3 path:16 strong:5 equations:3 appears:2 change:12 obtained:4 remark:7 xs1:1 suitably:1 shift:2 inspired:2 studied:2 allows:2 reason:2 article:1 σx0:4 suggests:2 resulting:2 martingales:1 poisson:17 situations:1 usually:1 implement:6 suitable:6 studies:1 options:20 conditioning:1 uniquely:1 appropriately:1 via:1 useful:1 ratios:1 figure:2 zǫ:1 manage:1 replace:1 inequality:4 γu:6 apply:10 9s:1 circumvent:1 2t8:1 wang:1 σdwt:5 derivatives:1 use:17 feb:1 takes:4 would:1 lemma:37 remains:1 positive:15 filters:1 uniformly:6 negative:7 eσ:3 whereas:1 calculation:1 going:7 call:6 therefore:6 criteria:2 strike:4 tells:1 associated:2 combines:1 until:3 more:8 introducing:1 lognormal:1 ecole:1 becomes:1 constructs:2 berlin:1 appendix:3 normalized:1 stochastic:17 known:2 cermics:3 cases:4 hold:2 must:1 logarithm:4 involve:1 account:1 endpoint:1 mc:1 permits:2 scholes:4 recall:4 equation:10 des:1 modified:1 radon:6 temam:3 minimum:7 values:4 rectangle:1 lipschitz:1 following:33 making:1 primitive:2 example:7 proof:20 control:4 transition:2 challenging:1 nikodym:6 give:3 process:33 expanding:1 dxt:4 accept:2 respective:1 sample:2 ponts:1 assumptions:6 beskos:16 allowed:1 times:3 jensen:1 absolute:1 dws:1 needs:3 recursive:2 dwt:5 rather:1 verify:1 s0:38 feature:1 write:4 maps:1 methodology:1 eσt:2 gareth:3 reject:2 simplifies:1 instead:7 verlag:2 parameter:12 stock:8 fr:2 fu:2 singular:1 may:3 max:3 after:1 mapping:4 shreve:3 consequence:1 vorst:8 fi:1 law:25 constants:1 efficiently:1 gaussian:6 ingersoll:2 short:2 natural:3 whenever:3 explicit:1 su:7 st:20 hypotheses:1 provide:1 integrability:10 algorithms:1 fundamental:1 suggest:2 obvious:1 representation:1 element:1 integrand:2 order:16 holds:6 schwartz:1 indeed:4 over:2 novikov:2 mainly:1 σwt:7 course:3 pascal:1 paper:7 through:1 statistical:3 y1:9 existence:6 satisfies:1 still:3 its:14 before:1 τn:16 du:22 rapidly:1 champs:1 la:1 chosen:4 interesting:1 fix:2 solving:1 expectations:1 exhibits:1 actually:1 better:1 resort:1 lt:17 2zt:2 choose:5 derivative:6 main:3 fin:1 into:1 split:1 yi:6 eventually:1 non:11 good:2 return:2 finance:11 lambert:2 propose:2 practice:1 regarding:2 introduce:3 bound:11 13s:1 framework:3 they:3 identically:4 singularity:3 now:5 yu:3 yt:20 nor:2 xt2:5 2t:29 represents:1 inversion:2 xt1:5 2s:1 fully:1 university:1 level:1 appropriate:2 2z:4 fearnhead:8 stopped:1 trap:2 each:3 inherent:1 difficult:2 side:1 2j:3 mean:5 homogeneous:1 el:1 differential:11 financial:3 g2:3 weight:6 ee:1 series:5 hare:1 steven:1 ea:18 idea:9 t3:2 inhomogeneous:4 used:2 computable:1 measure:12 our:4 satisfied:3 event:2 out:4 rt:35 shown:1 paristech:1 space:4 mode:2 dst:1 since:23 crucial:1 bad:1 denotes:2 replacing:1 dominated:1 performs:2 issue:2 math:1 weighted:1 benjamin:1 performing:1 theory:1 state:1 little:1 free:3 standard:17 quick:1 approaches:1 surely:6 term:5 ecp:3 e1:13 anal:1 care:1 βt:1 definition:1 unique:3 discretely:1 βs:4 starts:2 impose:1 running:1 feasible:3 motion:21 vji:2 hence:13 probab:3 view:1 first:13 intuition:1 initial:1 probability:21 rydberg:3 variables:26 december:1 modifies:1 number:7 restrict:1 symmetry:1 multiplying:1 simplified:1 least:2 another:2 carry:1 xs:1 xt:23 specially:1 stochastics:3 given:13 management:1 writes:3 needed:1 introduction:1 construct:1 their:2 assumption:14 convention:2 scheme:4 prone:3 option:21 recursively:6 continuous:14 blaise:1 direct:1 part:5 justifies:1 simulate:15 revuz:2 corless:2 x0:15 1t:3 than:2 coefficients:1 diffusion:7 unfortunately:2 yj:2 dès:1 approximations:2 second:4 papaspiliopoulos:3 normalizing:3 project:1 t2t:1 determined:2 assume:5 were:2 gives:7 treated:1 result:3 exhibit:1 gathering:1 comput:2 generality:1 rewrite:5 argument:1 already:1 2t6:1 7s:1 ghz:1 anr:1 2t2:1 need:1 seen:2 confirms:1 saw:1 any:5 paths:3 computationally:2 showed:1 zero:9 depending:1 efficient:5 lim:12 latter:1 able:5 ideas:1 note:6 high:1 generalized:4 so:16 zs:5 calculus:1 formulas:1 exactly:3 allow:1 advances:1 normal:3 price:23 who:1 2tj:1 z2:12 most:1 quantitative:1 decision:1 βs0:25 class:1 appear:2 broadie:2 rogers:5 considered:1 average:11 neutral:3 3s:2 ext:2 points:4 kv:2 exp:37 kt:2 10s:1 δt:4 effect:2 physics:1 section:5 fact:4 currency:1 science:1 optimal:1 show:6 absorbing:1 supported:1 ending:2 levy:2 minimizing:2 solutions:3 popt:3 threshold:3 especially:1 3t:3 find:2 finally:4 based:11 simulating:9 parameters:7 17s:1 explain:1 original:1 distributed:16 behind:1 either:1 terminal:2 analytic:1 only:3 explicitly:1 black:4 factor:2 attained:1 integrable:15 he:1 local:1 pointed:3 hope:2 nj:4 continuity:1 do:8 his:4 handle:1 notation:1 get:13 dyt:3 geman:6 expectation:11 variate:4 cannot:1 dz:4 dx:1 dy:3 compute:5 dt:83 girsanov:5 geometric:5 volatility:2 processes:4 consist:1 consisting:1 twice:1 conditions:1 ezt:20 arxiv:1 expansions:1 glasserman:2 derive:1 investigate:2 qz:25 schemes:4 common:1 though:1 shi:4 fixed:2 reinforced:2 riemannian:1 madan:1 set:11 computed:1 exists:7 generally:1 2c:2 ends:1 maximum:2 observed:3 edition:1 see:20 computer:1 differentiable:4 y0:3 york:1 dµ:1 best:2 techniques:7 sequences:1 roberts:3 satisfying:2 likelihood:1 encounter:1 review:1 exchange:1 functionals:2 yet:2 wtx:15 enough:1 unable:1 trapezoidal:2 karatzas:3 closed:1 between:2 wise:2 neither:2 approach:5 notice:1 never:1 recently:4 lancaster:1 extend:1 importance:3 weak:1 vanishing:1 wt:9 distinguish:2 dividend:2 distribution:19 improve:1 faced:1 both:8 last:5 signed:1 limits:1 discusses:1 money:1 many:1 taking:3 termed:2 equal:14 against:1 called:1 fulfilled:1 april:1 σx:3 context:1 σs:4 variance:14 pde:4 estimation:3 whole:2 comes:2 otherwise:2 seminal:1 reduce:2 affine:2 point:5 simple:4 royal:1 corresponds:3 ce:2 sampling:10 dimensional:5 cz:21 taylor:1 consideration:2 cs:4 respect:13 rep:1 throughout:2 skeletons:1 expensive:1 ct:4 drifted:1 resorting:2 ensures:4 described:1 estimating:1 addition:1 trajectory:1 acceptance:13 due:1 been:1 nb:1 reduction:5 cauchy:1 treat:1 interest:2 applying:1 proposal:1 gonnet:1 domino:1 important:1 define:6 retrospective:2 sufficient:5 else:1 γdt:2 6s:1 prices:1 c2:2 c0:26 present:1 case:10 multi:1 replaces:1 σxt:6 exponential:11 2t4:1 plain:1 reliable:1 ij:6 empirical:1 value:4 heidelberg:1 will:3 while:3 suppose:4 behavior:1 error:1 stopping:2 situation:1 revisited:1 property:4 qopt:2 procedure:2 n2n:1 almost:6 vi:26 vj:4 simulations:3 thus:4 according:18 bias:5 karoui:1 unimodal:1 αst:12 limit:3 eraire:2 floating:2 different:4 prior:1 journal:9 pay:5 make:2 cumulative:1 same:13 clearly:5 rules:1 arguments:1 sdws:2 avoids:1 knuth:1 european:5 independent:17 jeffrey:1 literature:1 bu:1 numerical:10 zvi:6 hand:9 authors:3 αs0:5 infinite:1 robust:1 contribution:2 expand:1 recent:3 relies:1 lower:5 task:1 off:5 banking:1 nevertheless:1 changes:2 mz:19 well:5 analysis:2 obviously:2 without:4 hedge:1 σu:11 simulated:4 coordinate:1 claims:1 model:1 σt:3 dimension:1 researchers:1 usual:4 sdes:1 diffusions:2 proposed:1 decreasing:5 being:2 when:10 accurate:1 wagner:12 obtain:3 competitive:2 underlying:6 thanks:5 immediately:1 paul:2 october:1 xex:1 ys:2 mohamed:1 previous:8 xs2:1 adding:1 accepted:1 monitored:1 density:17 conclude:2 seems:2 5s:1 wu:3 interested:2 extends:1 easy:3 theorem:6 remaining:2 euler:1 real:4 tests:2 evaluation:3 21s:1 easily:4 checking:1 evaluate:2 showing:1 possible:6 period:1 early:1 know:1 êd:1 using:30 postal:1 moreover:1 bernoulli:1 like:2 loss:1 satisfaction:1 necessary:3 intel:1 particle:1 follows:6 reduces:1 tγ:1 specific:2 steps:1 arithmetic:5 integrals:4 always:2 security:1 conclusion:1 essential:1 towards:1 mathematical:1 because:8 arbitrage:1 methods:16 deal:2 sequence:11 absolutely:4 conditional:2 some:2 draw:3 deduce:3 growth:1 equivalent:1 pricing:19 sight:1 table:9 ourselves:1 cp:12 avoid:1 shall:2 integration:1 classical:1 2c3:2 conditionally:8 does:2 decomposition:1 provides:1 tends:2 yields:3 straightforward:3 minimal:1 refer:1 considering:1 biased:1 measures:1 contingent:1 power:2 reaching:1 problems:4 notations:2 arbitrary:2 consuming:2 expansion:4 bt:7 how:1 step:3 wong:2 although:1 bs:2 approximating:2 super:1 properties:1 handled:2 comparison:1 working:1 extension:4 simplify:1 freedom:1 introduces:1 dependence:1 o:18 simulation:31 practical:3 pz:29 estimator:24 ensure:3 dzt:4 mixed:1 introduced:3 consequently:5 other:10 inte:1 discretization:14 computational:6 markovian:1 previously:1 dubois:2 within:1 integral:6 functional:3 three:1 down:3 tackle:1 perturbing:1 square:10 references:1 determine:1 estimators:4 approximately:1 proportional:1 milstein:1 theoretically:1 often:1 processor:1 log:9 examples:1 assumed:1 there:11 transform:2 fast:1 why:2 start:1 appl:4 low:1 way:3 was:2 asset:1 function:33 dξt:4 form:14 attempted:1 relaxed:1 sequel:1 but:4 histogram:1 sde:15 cedex:1 link:1 convergence:1 line:1 true:4 partially:3 made:1 rejection:13 ke:1 intuitive:2 society:1 marne:2 up:3 us:10 unveils:1 international:2 maturity:6 below:4 ui:21 3t1:2 iterated:2 cit:1 continuously:5 problem:8 similar:2 laplace:2 accelerate:1 detailed:1 mails:1 required:1 constant:12 computing:3 defined:8 certain:3 abstract:1 uij:1 influence:2 general:3 unbiased:20 dν:1 right:2 av:1 inf:6 check:7 fill:1 again:1 functions:2 compared:1 weakened:1 no:7 heyde:2 hybrid:7 application:2 setting:4 spatial:5 test:1 mathematics:1 yor:4 enpc:2 nice:1 briefly:1 denote:10 σbt:1 benchmark:1 drift:8 a2:10 bounded:4 allowing:2 variable:17 omega:1 explosions:1 implies:1 longer:4 algorithm:36 adap:1 interval:6 pseudo:4 intentionally:1 weights:1 dyu:1 time:24 far:1 n1:2 starting:1 cpu:2 once:1
0704.1434.txt |@word limited:2 systematic:1 magnetic:2 four:2 consists:2 forget:1 whose:1 aug:1 γn:2 under:2 updated:1 connects:1 every:2 figs:1 solver:2 z12:20 solution:4 z11:11 convenience:2 vector:1 indices:10 degeneracy:1 ωan:5 consistent:2 plaquette:2 direct:4 approximation:6 second:8 qualitatively:2 implemented:1 ecb:1 even:8 selected:2 above:10 new:3 net:1 increasing:8 consisting:4 equals:2 here:10 zz12:2 path:1 interpret:1 obtained:8 study:7 krauth:1 advantages:1 fourier:1 changes:2 appropriately:3 discontinuous:2 raphson:1 highly:1 conditions:1 visible:1 sizeable:1 total:3 unit:2 dmft:14 plot:2 quasi:1 would:5 motivate:1 negative:4 therefore:8 type:1 until:1 coupled:4 successful:1 naive:2 correspondingly:1 unraveled:1 hole:3 hold:1 must:4 rα:7 mm:3 work:16 theories:1 root:3 example:5 superlattice:3 involve:4 trieste:1 caution:1 want:3 times:1 absolute:2 end:3 provide:2 feature:2 how:2 nontrivial:1 significance:1 answer:1 description:8 arcs:1 earlier:2 minimized:1 diagram:1 summarize:1 law:1 ortolani:2 parallel:1 types:1 attempt:1 effective:2 summing:1 green:7 enter:1 order:28 restriction:1 interpretation:3 diagonalizes:2 over:11 vary:1 satisfied:3 pascal:1 thesis:1 satisfies:2 before:1 manageable:1 exhibits:2 writing:2 noninteracting:2 fig:39 eventually:1 them:1 combination:1 doucot:1 hb:1 band:31 effects:2 they:4 eigenvalue:1 reasonably:1 filling:34 intraband:1 each:19 mean:10 lifted:1 schemes:1 successively:1 evolve:1 yvette:1 substantially:1 rr:3 restricted:4 crucial:3 content:2 dsm:1 mα:1 reader:1 ri:1 rj:1 linear:4 associate:2 little:1 free:3 standard:6 bilayer:11 δij:1 onto:1 biroli:3 already:4 features:1 kashima:1 restrict:3 fujimori:1 another:4 electronic:2 illustrate:1 toy:1 service:1 similarly:1 eqs:3 needed:3 too:1 ordered:1 variational:4 tool:2 serve:2 somewhat:3 xj:1 hopping:10 roles:1 approximations:1 iteration:2 matter:2 tion:2 minus:1 modern:1 mind:1 manner:6 seen:8 seem:1 contents:1 convenient:2 latter:9 metallic:3 materials:1 residue:3 shall:7 extending:1 involving:3 germany:1 phase:3 luttinger:2 calculated:5 metal:2 points:2 principle:6 interorbital:5 sum:1 incorporate:1 doped:6 gauge:8 solutions:2 d8:2 d9:1 d6:1 subtle:1 d4:1 d5:1 d2:3 d3:1 d0:2 d1:5 just:4 implementation:3 situations:3 explain:1 completes:1 hamiltonians:2 do:8 dm:1 de:6 dc:5 hussain:1 da:4 runs:4 contributes:1 fields:5 gutzwiller:7 acknowledgments:1 twice:1 nλ:1 analytical:2 nα:18 nβ:2 thanks:1 term1:1 observed:5 depends:1 decided:1 w2:9 w1:10 discussions:2 subject:2 capone:3 tensor:4 away:4 eigenstates:9 symmetric:5 simplest:5 conceptual:1 drawn:1 approach:6 triplet:4 terms:15 nature:5 component:3 restricting:1 inaba:1 however:29 wr:2 wp:4 faced:1 c23:1 cos:24 ile:1 c24:2 periodized:1 cox:1 against:2 distinction:1 contribution:1 adapted:3 unn:5 had:1 basis:54 union:1 three:6 been:6 much:1 interest:1 basic:1 expected:3 flexible:1 deeper:1 quantities:2 concerning:2 coherent:2 worked:1 spin:7 applied:1 exception:1 remaining:1 aim:1 rutgers:1 leaves:1 φbn:1 iv:1 ii:6 ij:2 cond:7 perform:1 make:5 millis:1 complex:1 several:2 grows:1 european:1 independent:6 numerical:7 differing:1 hand:3 insulating:5 kin:1 normalization:3 cycle:2 scenario:2 eorique:2 kawakami:1 contact:4 tokura:1 quantitative:2 elstner:1 left:7 proposed:1 decreasing:1 physique:2 newton:2 bandwidth:16 identify:1 transforms:2 rotates:1 scattering:1 yet:2 previous:13 unique:2 han:1 mix:1 n2σ:2 character:5 transformed:2 easy:3 uαα:1 uαβ:4 zou:1 bands:11 online:15 possible:4 possibly:3 gallais:1 depicts:1 apart:1 εf:1 appearing:1 sissa:1 performing:2 specific:2 remind:1 n1:5 polytechnique:2 arbitrary:10 hund:1 right:7 deal:4 successfully:1 φmn:1 cdmft:10 senechal:1 separately:1 normal:2 t11:2 t12:5 umm:3 unstable:1 minimization:1 derivatives:7 riera:1 fuhrmann:1 normalisation:1 properties:4 o:4 probabilities:1 plus:1 slightly:2 considerations:1 soc:2 presence:6 spht:1 xyz:2 disentangled:1 bound:1 down:1 multiply:1 wα:2 often:1 φcp:1 moeller:1 nodal:5 initial:1 transform:2 gif:1 way:5 was:6 φcm:1 purposely:1 raman:1 singleparticle:1 form:27 differences:6 pilgram:1 cedex:1 true:2 builds:1 maximum:1 crystal:4 b7:1 fermi:7 occupancies:1 b1:1 meanfield:2 ln:1 δbn:1 evidence:1 guessed:1 antinodal:6 dδ:1 dβ:5 check:5 dα:24 nj:1 oversimplification:1 faithful:2 dotted:3 no:17 na:8 whereas:3 nc:4 generally:1 vanishes:2 setting:2 role:1 investigations:1 ns:1 picture:1 intend:1 models:8 densitydensity:2 regime:8 longer:3 assume:1 dσ:1 together:2 observables:1 n2:2 measurements:1 primed:1 leads:4 manages:1 grateful:1 layers:4 parcollet:4 zone:3 technique:6 environment:1 charge:3 monotonically:2 weakening:1 marks:1 analogous:2 rαβ:2 antiferromagnetism:1 frequencies:1 choice:7 tacon:1 nesting:1 entries:1 exact:3 level:6 did:1 turns:5 εkj:4 upper:1 findings:3 trend:1 dealing:1 actinides:2 sign:3 oneto:1 spectral:1 appear:2 t2g:1 uniform:1 current:1 goes:1 filled:11 satisfy:5 monien:2 vanderbilt:1 agreement:1 smearing:1 address:4 xγ:1 along:6 appears:6 change:6 studied:4 fabrizio:3 usually:3 decouple:1 t22:2 studies:3 plotted:1 lowers:1 emerge:2 useful:4 modifying:1 renormalization:3 working:1 prove:2 positive:1 quasiparticles:4 france:3 associated:16 theoretical:2 introducing:2 appendix:11 everywhere:1 cases:5 effort:1 eγ:5 fermionic:5 rotational:1 modified:2 reviews:2 labeled:3 fock:27 values:9 hope:2 growing:4 making:2 nearest:3 degenerate:1 figure:2 sense:1 spm:1 occur:1 normalize:1 redundancy:1 requirements:1 antoine:1 write:2 actual:1 repulsion:1 parameter:2 product:3 mat:7 may:12 needs:2 residues:1 straightforwardly:1 applications:2 produce:2 representations:2 revealed:3 lifting:1 natural:5 dynamical:7 liquid:2 whenever:2 cbn:2 explicit:3 yielding:2 su:7 so:7 sb:18 michel:1 breaking:1 ruckenstein:4 indeed:14 displayed:2 course:9 experiments:1 cuts:1 still:5 tendency:1 derive:3 sγ:1 jij:1 forms:1 main:3 correspondence:2 prime:1 non:20 thereby:1 gray:1 matches:2 introduce:3 interdimer:2 half:25 now:15 discuss:1 nos:1 accommodate:2 term:10 multisite:1 drop:2 arrows:1 establishing:1 realistic:2 x10:2 x11:2 entirely:1 quarter:5 el:1 en:2 significantly:2 eg:1 gaussian:1 cornaglia:2 eq:10 robaszkiewicz:1 shown:7 impurity:5 space:28 furthermore:5 increase:1 formula:4 correct:6 shows:5 after:1 theory:7 olfle:3 twoband:1 possibility:4 quite:2 intraorbital:1 complicated:3 care:1 derivation:1 language:1 transition:26 turn:2 think:1 first:29 zan:1 xk:1 simplifies:1 ono:1 symmetry:15 occupations:1 quasiparticle:11 variables:6 simplified:3 carry:1 impossible:1 size:3 given:16 necessarily:2 checked:4 theoretische:1 response:2 indicate:1 underdoped:2 realization:1 oversimplified:1 structures:1 gives:1 asymmetric:1 continuous:4 proving:2 eliminated:1 representing:1 than:11 coefficients:1 accordance:2 future:1 published:1 addressing:1 anm:5 michele:1 generalization:2 crossover:1 hoppings:2 recover:1 occupied:4 any:9 symmetrized:2 ideas:1 note:19 potential:1 φan:16 take:2 φam:4 objective:2 cnrs:2 norman:2 opposite:1 kyung:1 correlation:2 importantly:1 formulae:1 pair:4 inserted:1 especially:1 considered:6 average:2 later:1 implications:1 drive:1 colson:1 quantity:2 show:4 sites:7 notations:4 spaces:1 d2σ:3 ns2:4 substituting:1 ground:1 ratio:1 state:35 only:20 explicitly:1 normalizations:2 get:3 expectation:1 cannot:5 conjunction:1 closure:1 reveal:2 regarding:1 oudovenko:1 yield:4 requesting:1 rotationally:17 osmt:4 mapped:1 namely:11 inequivalent:2 satisfying:2 compounds:1 review:2 definite:1 representatives:4 label:2 enough:3 between:18 justified:1 deforms:1 vertical:3 comp:1 condensing:1 concentrate:1 kotliar:17 article:7 come:2 jb:1 jc:5 motivations:4 σc:1 many:2 region:3 according:4 contract:1 σd:2 expression:28 comes:1 minima:1 color:16 lagrange:6 moreover:5 considering:2 computing:1 mark:1 combined:2 differently:1 wants:1 direction:5 imada:3 formed:2 observe:1 those:7 case:33 developing:1 promising:1 zerofrequency:1 cluster:29 superconducting:6 d14:1 different:25 d10:1 d11:1 d12:1 etc:3 same:12 dγ:1 arguments:1 unemann:3 reminder:1 constructed:2 lechermann:2 investigated:4 wpq:8 wpr:3 changing:2 invariance:4 nm:18 weakened:1 minimize:1 severe:1 without:3 solve:2 components:12 fixing:1 model:54 laboratories:1 dimension:1 cuprates:2 among:1 being:6 when:29 resp:2 superconductors:2 rest:1 aspect:1 differentiation:4 multiplet:7 underline:1 captured:1 thinking:2 seems:1 except:2 lets:1 treatment:4 δpq:3 eigenstate:2 momentum:18 real:5 psi:1 aspects:1 around:3 2u:5 read:5 multiplets:12 decomposed:1 dark:1 using:12 mod:6 particle:14 superexchange:2 serves:1 either:3 always:1 inter:1 reduced:4 specifies:1 exposed:2 respect:7 nonzero:5 provided:5 dimensions:1 extensively:1 critical:9 decomposition:1 power:1 equivalent:6 anisimov:1 ratios:5 nma:1 refers:2 comparison:6 fillings:5 discussed:2 generated:3 2j:2 neighbor:3 act:2 xnm:3 offdiagonal:1 communication:1 numerically:1 operator:23 theoretically:1 loc:2 dkα:2 assumed:1 strictly:1 there:13 grange:1 start:2 low:11 labelling:1 regard:2 tailored:2 formalisms:2 correlated:5 arranged:1 bandwidths:8 c22:1 quantitatively:1 n1σ:2 eigenvector:1 strongly:4 ab:18 certain:1 describe:5 am:1 general:14 aq:1 formulation:5 potthoff:1 eigensystem:4 again:7 noninteger:2 tight:1 narrowing:1 remarks:1 spatial:2 requested:1 briefly:2 lineshape:1 superconductivity:4 a1:1 a3:1 important:6 a5:1 a4:1 a7:1 serious:1 a9:1 a8:1 gaugeinvariant:1 arpes:3 signalling:1 starting:3 original:3 monte:1 consider:21 splitting:2 generalize:5 c2:1 follow:1 expressions:9 zinn:1 particles:3 tr:1 nonlocal:1 kβ:1 kα:1 c5:3 th:2 nodes:3 tb:2 tc:1 amplitudes:7 song:2 very:7 induce:2 oxides:1 interpreting:2 decide:1 pression:1 difference:2 hamiltonian:25 t2:1 t1:1 large:4 small:8 louie:1 computation:1 antinodes:3 zero:8 displays:2 further:5 bilinear:1 what:2 nonlinear:1 section:16 sur:1 sup:1 learned:1 erieure:1 method:15 contrast:5 edited:1 condensed:2 full:9 modify:1 orbitals:6 selective:1 directions:1 strong:4 equations:9 generalizing:1 medici:1 allows:6 ϕan:7 action:7 specialize:1 uniquely:2 via:4 family:1 establish:1 select:2 distinct:1 contains:1 furukawa:1 finally:7 comparing:1 hirsch:1 taken:2 2kx:2 minor:2 more:19 exˆ:1 operators:15 tested:1 2w2:1 particular:12 keeping:1 recall:1 equation:1 paragraph:1 f1:1 stated:1 neglected:2 states:69 minimum:1 numbers:6 sigrist:3 arise:1 yγ:3 species:1 axis:1 information:2 respective:1 goal:3 rather:8 intradimer:1 acts:2 eigenenergies:1 bit:1 simplicity:4 fr:4 fs:11 derived:2 fd:1 fi:1 fm:1 generalizations:3 spectra:1 fα:61 fβ:48 fγ:2 help:2 developed:1 paper:7 through:2 existence:1 kinetic:8 excitations:1 its:8 energies:1 boson:42 actually:8 absence:1 systems:1 might:1 good:1 cea:2 hettler:2 detour:2 framework:9 bigger:1 2t:15 easily:5 2v:1 fully:5 presented:2 utilized:2 2d:3 fσ:1 found:7 universit:1 characterized:1 permutation:1 iden:1 weight:25 generation:1 energy:43 pablo:1 reduce:1 idea:2 unprimed:1 extended:2 quantum:5 operation:1 beyond:1 nonmonotonic:3 since:10 induces:2 denotes:6 acting:6 denoted:2 issue:9 occurs:1 sbs:12 enforcing:1 fondation:1 guess:1 difficulty:2 beginning:2 bulla:2 onsite:2 pairs:1 retained:1 damascelli:1 irrespectively:1 consequence:2 xij:3 major:2 probability:7 feel:1 number:11 enlarged:10 least:2 solvers:1 differ:1 perturbation:1 temperature:5 introduction:1 leading:3 construct:3 assumption:1 calculations:3 molecular:2 recovered:2 shifted:1 kµ:2 relationship:1 immediate:2 part:8 favorable:1 authors:1 focusing:1 believe:1 albeit:1 scheme:5 hybridizations:1 marianetti:1 determined:6 doubly:3 str:1 elaborate:1 treated:4 motivation:1 derivative:6 outstanding:1 conjugate:1 qps:14 generalizes:1 built:2 depending:1 self:19 onset:1 becca:1 generalized:3 jacobian:1 play:1 singlet:3 most:3 blaise:1 significant:2 probabilistic:2 stands:1 kf:1 kk:1 kj:7 clear:5 sometimes:1 tα:3 traditional:1 kr:1 electrons:5 ky:13 kx:12 physics:12 sector:2 particularly:2 phenomenon:1 session:1 relation:5 find:5 egion:1 parameters:3 subsection:1 factor:2 notation:1 dependent:7 intersite:2 express:1 trees:1 closely:1 combinations:2 lattices:1 him:1 exhibiting:1 arxiv:2 common:1 doublet:1 set:28 achieved:2 unpublished:2 achieves:3 see:26 individual:1 sec:8 bulka:1 close:8 forthcoming:2 momenta:2 lee:1 fang:1 fano:1 smallest:1 various:4 permutes:1 numerous:1 recently:2 creating:1 2m:1 vanishing:1 δab:2 distinguish:2 δan:1 understanding:1 both:13 improved:6 desired:1 tremblay:2 quantization:1 connection:5 context:6 whole:3 arbitrarily:1 intralayer:2 jeff:1 simple:11 wen:2 dimensional:10 simply:1 doping:11 suppressing:1 ferrero:4 pr:2 pq:2 described:3 perspectives:1 lattice:19 px:1 due:3 z1:3 describes:1 ensured:1 ph:1 empty:1 lett:7 generating:1 lived:1 transferring:1 gap:1 lives:1 representative:1 func:1 houches:1 assigning:1 look:1 pacs:1 solid:2 tetrahedron:1 evaluated:2 while:15 replaced:2 c15:1 behavior:3 couplings:2 identical:13 unitary:6 jpn:2 binding:1 pruschke:3 encountered:1 reads:11 itself:1 mott:14 elsevier:1 vanish:1 fermion:1 underlining:1 definitive:1 anymore:2 grant:1 belong:1 reachable:1 emphasize:1 resulting:3 higher:1 development:1 used:11 purpose:1 lowenergy:1 recent:3 eigenvectors:1 normale:1 lower:4 obviously:5 photoemission:1 λr:2 poilblanc:1 atomic:23 multiorbital:2 letting:1 conclusions:1 guaranteed:1 theorem:2 transformation:11 hybridization:7 couple:1 integer:2 emergence:1 georges:4 rotate:2 follows:5 interestingly:1 ignore:1 imposes:1 yields:6 popular:2 essential:4 methods:6 creation:10 some:10 back:4 b4:1 b5:2 b6:1 economic:1 examples:1 b2:1 b3:1 b8:1 ourselves:2 scale:2 describing:3 though:1 integration:1 per:3 piscataway:1 behave:1 connecting:1 run:1 performed:1 bm:3 bn:1 dictates:1 bi:2 stem:1 step:2 fkα:1 relating:1 dictated:1 hilbert:19 bz:2 pα:2 constraint:13 intensively:1 range:4 extensions:7 into:8 within:26 integral:1 nsf:1 appropriate:4 institut:1 question:1 long:4 bosons:24 link:1 ns1:4 line:1 up:3 us:14 ur:1 un:1 continuously:1 fluctuations:3 similar:4 called:1 uc:14 maier:2 constant:3 defined:9 specified:3 influence:5 antibonding:6 single:16 associates:1 formalism:32 amounts:1 dashed:2 multipliers:7 application:3 priori:3 deviate:1 elements:10 generates:1 problems:4 c21:2 bonding:7 formal:2 sides:1 structure:1 feasible:1 independently:3 suffers:2 implies:2 lead:7 holes:1 saclay:1 broyden:2 weights:10 far:1 requires:2 having:5 proximate:2 once:1 partial:1 results:16 gf:2 gd:2 shim:1 broader:1 moreo:1 issues:4 excludes:1 sbmft:9 concerned:1 contours:1 stable:1 harmonics:1 wave:1 electron:18 putting:1 cellular:1 mixing:2 matrices:8 timely:1 incoherent:1 deals:1 manifestly:1 eigenvalues:6 dimer:5 zn:2 smaller:5 metzner:1 zi:1 zc:3 jump:1 earth:1 odd:1 index:4 plays:1 expressed:1 3t:2 access:1 consistently:1 occupation:2 3d:5 body:4 chose:1 degree:2 exchange:2 respectively:5 following:22 les:1 separation:1 implicit:1 z2:4 deduced:1 technical:1 larger:14 c18:2 products:1 olivier:1 gebhard:1 involves:1 composed:1 named:2 formulated:1 scales:1 private:1 scaled:1 decrease:2 summation:1 apply:3 tools:2 use:10 usa:1 remains:1 next:3 themselves:1 zij:2 formally:1 ecole:3 started:1 becomes:7 benchmark:1 attaccalite:1 spinodal:3 normalized:2 central:2 iii:5 justin:1 account:1 rice:2 gabriel:1 challenge:1 obvious:2 dagotto:1 proof:3 rozenberg:2 calculation:4 high:3 ϕkj:1 tab:2 z22:9 holds:2 regions:4 located:1 varies:3 instead:6 obeys:2 physik:1 physical:72 lines:8 correspond:4 element:3 realizes:1 allow:1 subsequently:1 looking:1 move:1 interpreted:3 including:5 mentioned:1 hloc:22 perfect:1 chemical:1 le:1 la:1 chosen:3 zˆ:3 lj:2 li:4 resorting:1 degrees:6 choose:2 insulator:1 clusters:3 defining:2 weber:1 eur:3 material:2 dai:2 landau:1 mention:1 tical:1 rotation:7 transparent:1 university:1 merge:1 magnitude:3 constraints:15 interlayer:6 related:7 inverted:1 frequency:5 static:4 our:18 transitions:1 iασ:1 out:10 respects:1 matrix:51 rev:34 cuprate:2 trickier:1 funcˆ:1 orbitally:1 ref:6 math:1 approached:1 interactions:10 frank:2 diagonal:27 approaches:1 pqn:1 anyhow:3 interaction:9 could:2 keep:2 hence:32 facilitate:1 demonstrating:1 jarrell:3 powerful:1 improvements:1 dobrosavljevi:1 reached:1 precisely:1 publication:1 behaves:1 system:6 relations:1 their:6 fermions:2 final:1 completed:1 exactly:8 serin:1 advocated:1 zα:2 sectors:2 limiting:1 amplitude:7 embody:1 result:3 symmetries:2 unchanged:1 curves:2 dictate:1 need:4 apparently:1 clearly:3 viewed:1 angle:1 able:2 contour:2 polarization:3 instance:5 δnn:3 accuracy:1 unless:1 centre:1 techniques:3 connected:2 representation:7 sophisticated:2 represen:1 ura:1 lowered:1 ueff:2 fied:1 fact:7 emerging:4 supported:2 purely:3 debate:1 based:3 knowledge:1 echal:1 temp:1 should:3 local:31 achieve:2 handle:5 means:5 ones:2 brillouin:3 qp:70 evolution:1 densities:1 paramagnetic:1 transposition:2 contain:4 biermann:1 fixed:4 favoring:1 view:2 intervening:1 enhances:1 requirement:1 computed:2 exists:2 transpositions:1 correlations:3 heilmann:1 usefulness:1 enhanced:1 phases:2 nekrasov:1 interacting:13 dle:1 attempting:3 dmr:1 tend:1 sacuto:1 written:5 difficulties:4 identification:1 correctly:1 nn:11 invariant:23 boundary:4 liebsch:1 reproduced:1 importance:2 implementing:1 job:1 key:4 configuration:2 haule:2 freely:1 equal:15 mβγ:3 hirschfeld:2 figures:1 strengthens:1 otherwise:2 detailed:4 relevant:2 cn:3 cm:8 narrower:2 hprn:1 sequences:1 table:2 cp:4 ct:1 singlets:3 savrasov:2 nb:5 quasihole:2 columnar:1 define:3 field:14 arises:1 corresponding:13 commutes:1 route:1 sufficient:3 coherence:3 subspace:3 c20:1 c9:1 c8:1 imation:1 hamburg:3 c3:1 last:6 c1:1 cbm:10 c7:1 c6:1 present:20 c4:1 multi:8 c25:2 value:9 choices:1 will:20 layer:4 refs:6 thus:15 site:25 surface:4 claimed:1 orbital:40 hubbard:30 generic:1 palaiseau:1 φd:3 φe:4 diagonalize:1 uegg:1 finite:8 φm:2 φn:5 difficult:2 slave:45 cubic:5 upon:2 effect:7 uni:1 infinite:1 identity:5 insure:1 off:10 variety:1 well:11 sets:4 arising:1 usual:2 less:2 increasingly:2 obtain:2 hkin:5 density:32 point:39 drawback:2 reasons:1 c19:1 other:10 c13:1 c12:1 c10:1 c17:1 c16:1 match:1 c14:1 resolved:1 dimers:1 increased:1 know:1 necessary:2 like:3 sizes:1 qualitative:3 become:1 works:3 because:9 shen:1 okamoto:1 nondiagonal:1 proper:5 diagonalizing:1 koga:2 esard:3 rohe:1 broad:1 separate:1 does:9 demonstrated:5 ωbm:2 disentangle:2 expansion:1 although:8 simpler:2 about:1 rare:1 carried:3 extension:3 saddle:34 column:1 freedom:6 introduces:1 dependence:12 carries:1 a2:1 introduced:10 suited:1 a6:1 functional:3 d7:1 included:1 square:7 bosonic:6 vac:21 incipient:1 quadratic:3 civelli:1 function:11 insures:2 eac:1 but:14 repeated:1 construction:1 hn:22 goals:1 convergence:3 ha:1 illustrative:1 auxiliary:2 made:3 compute:1 places:1 whether:2 antiferromagnetic:1 flip:1 below:2 limit:7 problem:7 lvi:1 display:2 plutonium:1 longlived:1 int:1 contribute:1 denote:4 functions:3 compared:3 nonetheless:1 detail:1 singleband:1 details:1 conclusion:2 variation:5 additionally:2 hnc:3 coupling:6 4t:2 4u:1 rule:1 d13:1 understand:3 parola:1
0704.1435.txt |@word acts:1 wigner:7 show:3 supported:1 choose:3 leads:2 x2:1 spaces:2 entropy:6 decompositions:1 edu:1 uller:3 its:1 ground:1 whose:1 x1:1 density:8 energies:1 interesting:2 tr:11 entirety:1 coordinates:1 seiringer:2 γk:2 h2:3 only:2 systems:5 th:1 factor:1 set:2 fermionic:1 remaining:1 non:2 explained:2 relation:1 nat:1 frank:1 between:1 wave:1 stat:1 they:1 approximate:1 bounding:1 now:1 matrices:2 hall:1 subsystems:6 represents:1 like:2 particle:7 fails:3 follows:1 university:1 arxiv:1 concave:1 ρi:5 investigate:1 vector:1 characteristic:3 found:1 fixed:2 reduced:3 mean:1 otherwise:1 square:1 oneparticle:1 national:1 some:4 measurable:1 each:1 imply:2 ball:1 acad:1 result:1 quantum:7 terms:3 after:1 preparation:1 subadditivity:4 tensor:2 factors:1 robert:1 algebra:1 functionals:1 denotes:2 particles:2 fellowship:1 state:2 does:2 decomposition:4 above:1 simplest:1 sloan:1 size:1 proc:1 email:1 math:3 side:2 counterexample:6 foundation:1 wavefunctions:1 recently:2 reproduced:1 location:1 respectively:1 arbitrary:1 commercial:1 however:2 atoms:1 paper:1 although:1 slater:1 shows:1 hilbert:3 wy:8 box:1 hence:4 hansen:3 antisymmetric:1 would:5 leaves:1 similarly:1 equal:2 o:1 nontrivial:1 april:1 kρ1:1 theory:1 act:1 mixed:1 introduced:2 expression:1 exchangecorrelation:1 software:1 lieb:1 apr:1 into:5 h1:9 functional:2 three:1 interest:1 equals:3 inequality:1 simply:2 operator:2 respect:5 precisely:1 open:1 positive:1 siedentop:1 jadwin:1 kγ:2 use:1 takes:1 usa:2 basis:1 canad:1 before:1 adjoint:3 question:2 system:1 construct:1 alfred:1 certain:1 ph:1 ineq:3 was:3 energy:1 more:4 function:3 determinant:1 yanase:7 molecules:1 given:1 operators:3 continuous:2 validity:1 volume:1 failure:1 hi:6 normalized:1 particular:1 known:1 c2:4 hold:4 true:1 than:3 partially:1 case:2 semidefinite:1 coulomb:1 showed:1 princeton:3 whether:2 science:1 ρk:1 work:1 zero:1 will:1 left:1 below:3 computer:1 following:1 aid:1 property:5 root:1 could:1 nature:1 references:1 weaker:1 subadditive:5 ki2:1 abstract:1 functions:1 thus:1 purposes:1 general:6 states:8 say:1 content:1 right:1 disjoint:1 distributions:1 variables:2 constructed:1 information:1 nj:1 grant:1 provide:1 self:3 holds:1 lett:1 same:5 note:1 k2:3 k1:3 concavity:1 take:1 pure:6 department:1 concerning:1 simplicity:1 product:3 used:1 denote:1 shall:2 may:1 symbol:1 pick:1 space:1 shown:2 x3:1 applications:1 phy:1 bounded:1 multiplication:1 sci:1 identity:1 matrix:8 consequences:1 sets:2 assume:1 kj:1 ki:13 author:1 explicit:1 mathematica:1 together:1 correlation:1 chemistry:2 physics:1 quantity:1
0704.1436.txt |@word 2m2:1 footing:1 gr:2 gp:1 skip:1 results:2 existing:1 four:2 gf:2 scalar:15 mp2:1 grateful:2 consists:2 gn:1 remarkably:1 contributions:3 restrictions:1 regularize:1 particles:5 certainly:1 calculate:1 re:1 spin:2 tr:2 finally:3 does:11 tj:1 petersburg:2 th:4 under:3 analogous:1 include:2 divergent:3 interacting:1 departament:1 evolves:1 very:4 conditions:1 geometrical:1 ultraviolet:3 repulsion:1 stays:1 redefinition:1 logarithmically:1 treating:1 entire:1 school:2 obvious:1 level:2 turns:2 having:2 proposals:1 solution:2 replaced:1 occurs:1 try:2 discrete:2 vector:1 math:1 small:9 gauge:9 div:1 application:2 fµν:1 force:1 riess:1 consistent:2 sign:7 approximation:1 fold:1 zero:18 replicated:1 mj:3 bronstein:2 canonical:2 even:6 established:1 what:2 combined:1 invertible:1 giving:1 diag:1 section:2 interactions:1 suspect:1 above:5 8πgn:2 new:2 ground:1 coefficient:1 relationships:1 evolving:3 full:1 lee:2 ibid:2 deduces:1 henry:1 component:1 here:2 elimination:1 grav:1 explore:1 free:1 path:1 quite:4 equations:5 appears:1 logarithmic:1 search:1 ref:1 broken:2 institute:1 shift:1 study:1 larger:1 allows:2 reason:2 dewitt:1 simultaneous:1 breakdown:3 action:7 implement:1 suitable:2 mix:2 cancellation:4 involves:3 genuinely:1 elaborated:1 formulated:2 scales:1 requiring:1 namely:4 ϕ2j:1 unitarity:2 till:1 univ:1 planck:5 select:1 derivatives:2 use:3 quasi:1 feb:1 takes:1 would:10 commun:1 remains:4 positive:2 estructura:1 lagrange:3 next:1 lss:2 m4:4 sitter:1 therefore:6 m2:18 taken:1 conservation:2 means:2 type:1 theoretical:5 zeldovich:2 more:2 separated:1 introducing:3 formally:1 duality:9 anticommuting:1 becomes:1 operators:1 factor:1 validity:1 correspondingly:1 particular:2 known:4 ojima:1 must:4 parameterize:1 keeping:1 valued:1 quartic:4 permits:1 recall:1 equation:4 work:2 det:1 mh:1 theories:1 reproduce:1 fock:1 values:4 mp:3 9th:1 starts:1 following:1 merely:2 spontaneous:12 example:2 control:2 compare:1 transition:1 renormalization:5 cosmological:39 give:7 process:1 discussed:1 choice:2 moffat:1 weinberg:1 transactional:1 had:1 effectively:1 lorentz:6 sense:2 amplitudes:1 evidently:3 absolute:2 huge:5 regularization:10 end:1 invoke:1 turn:2 rather:3 breaking:15 species:1 write:3 how:3 resolution:1 get:2 occur:1 instead:1 looses:1 rfbr:2 astroph:1 rept:2 description:1 algebra:1 replacing:1 φ2j:1 after:7 minimum:1 mapping:4 expectation:2 consequence:1 wrong:1 plane:1 starobinsky:2 cannata:1 cambridge:2 wave:5 constants:2 winter:1 stress:2 natural:1 outline:2 effective:12 higgs:4 light:3 correspond:1 neglect:1 cannot:1 so:14 elze:1 sm:1 observability:1 okun:1 sg:2 order:6 gµν:1 six:1 interpretation:1 dx:2 constituents:1 pointed:1 interpreted:1 stability:1 soldati:1 paper:2 including:1 directs:1 signs:1 existence:3 kinetic:1 still:1 its:12 before:1 perfect:1 style:1 group:2 treat:1 fit:1 la:1 ln:12 exact:3 masses:7 relativity:1 coordinates:3 writing:1 meantime:1 akhmedov:1 absence:1 might:4 puzzle:1 supersymmetry:4 ly:5 eventually:4 them:4 mj2:3 thereby:1 ya:1 propose:2 outlined:1 dao:1 introduce:1 landau:1 framework:6 repulsive:1 subtraction:1 they:3 thanks:1 front:1 now:3 yu:1 discuss:4 easily:1 gev4:2 indeed:4 2s:1 always:1 university:1 hamiltonian:2 normally:1 k42:1 sufficiently:1 l4:2 linde:2 arrow:1 each:2 universit:1 side:3 gev:3 mean:1 heavy:2 prohibit:1 another:1 formulate:2 doing:1 itep:2 energy:46 strip:1 reduce:1 idea:8 related:3 barvinsky:1 m0:1 used:2 remove:1 quantum:10 our:8 ghosts:1 eq:4 flavor:1 out:4 principles:1 large:3 shown:1 jul:1 matrix:1 space:12 types:1 since:4 lagrangian:4 cancels:2 content:1 attracted:1 adjust:1 istituto:1 wick:2 induced:2 evaluation:2 correct:3 mλ:1 shows:1 earlier:1 turning:1 theory:12 circumstance:1 replicas:1 fisica:2 possibility:2 standard:11 bonelli:1 approaches:1 base:3 included:1 term:2 programs:1 put:2 sowjetunion:1 generate:1 care:1 hence:1 interaction:5 rule:1 could:14 omit:1 cosmic:1 keep:1 motion:1 introduction:2 massive:1 leading:3 corrections:1 dressing:1 supplemented:1 onto:1 interact:3 first:8 origin:2 3m4:1 symmetry:33 jhep:1 tachyon:1 variables:3 number:9 iht:4 restrict:1 relations:1 directly:1 mixing:1 compensated:1 open:1 explain:1 necessarily:1 indicate:1 ordering:2 bologna:3 dipartimento:1 behaves:1 neatly:1 their:8 perturbations:1 inversion:3 fermions:4 saint:1 italia:1 postulate:1 scheme:2 really:1 cite:1 gives:1 shifted:2 progr:1 kµ:1 cope:1 academy:1 moscow:4 exactly:2 electroweak:1 part:8 boyarsky:1 than:2 reflection:5 albeit:2 kind:2 unfortunately:1 accordance:1 holds:1 acknowledgement:1 second:3 limiting:1 annihilation:1 matter:11 compensation:3 determined:1 contrary:1 supposed:1 str:1 were:3 bare:2 venturi:2 providing:1 solely:2 distinguished:1 seminal:1 questionable:1 symmetries:2 electrodynamics:1 unchanged:2 generalization:1 summing:1 himself:1 curved:2 seem:1 cosmology:2 apparently:1 clearly:1 relatively:1 acceleration:1 friedmann:1 issue:1 convenient:2 self:2 responsible:3 gravity:15 hgp:2 polarization:1 sciences:1 potential:3 take:2 forces:1 k4:1 davies:1 coincide:1 λcdm:1 tool:1 eff:3 φj:1 spectral:2 sequel:1 fundamental:2 normal:6 ıve:2 measures:1 connected:4 ht:1 significant:1 preliminary:1 phase:4 future:1 why:3 commutation:1 reminds:1 considered:1 clear:1 sometimes:1 perlmutter:1 dimension:1 feynman:3 hints:2 symmetrically:1 reflections:1 exp:5 iaµ:1 aµ:1 kx:1 physics:10 naively:1 fact:2 sector:2 fieldtheoretical:1 think:1 2m4:1 admittedly:3 violation:4 emphasize:2 supported:2 cpt:1 infrared:1 purely:1 relation:6 solutions:2 yµ:2 subtle:1 d4:8 fine:1 find:2 make:2 q2:4 based:2 proposed:1 implementation:1 writes:1 boundary:1 written:1 should:7 analytic:3 only:8 curvature:1 developed:1 adequate:1 partially:1 over:1 pj:8 do:3 his:1 legendre:1 dk:2 notation:1 di:4 dependent:1 de:3 overall:1 fluid:1 kxy:1 ones:3 negative:8 words:2 ϕj:7 nasty:1 ds:2 dp:2 dq:1 evolution:3 resolve:2 embedded:1 course:3 fields:31 arxiv:2 yield:1 influenced:1 qc:2 vacca:1 fruitful:1 34th:1 mapped:1 through:1 4πk:1 valid:1 view:1 set:2 exists:1 ik4:2 acquired:1 frame:1 respect:4 observed:1 see:8 individual:1 sec:4 result:2 sundrum:1 discussions:1 terms:6 reversed:2 ke2:1 concern:1 instance:1 µy:1 tensor:9 ways:2 subsequent:1 review:1 symmetric:3 case:2 state:8 difficulties:1 various:1 closed:1 between:8 invariant:9 justified:1 approach:1 law:1 discovery:1 preserve:1 observational:1 notice:1 attention:1 recently:1 amplitude:1 birrel:1 complementary:1 suppresses:1 however:6 supports:1 vanishing:3 jetp:1 distribution:1 suggested:3 observable:7 outcome:1 prescription:2 powers:1 region:1 equal:5 against:2 russia:4 sov:1 energies:2 connection:2 context:1 casimir:1 inspired:1 contribution:7 expense:1 expression:1 finds:2 comes:1 minima:1 co:1 point:10 simple:1 continuation:5 lagrangians:1 corresponds:1 dimensional:2 superstring:1 exploit:1 grants:1 anti:3 boson:2 universitat:1 moreover:4 trust:1 consider:1 considering:1 forms:1 described:3 tuning:1 help:2 due:4 been:1 int:2 much:2 change:3 hawking:1 fluctuation:1 compensating:1 proposal:5 meeting:1 define:2 generating:2 arises:1 corresponding:2 both:5 sectors:1 concerning:1 wheeler:2 subspace:1 remark:3 understand:1 vµ:2 astron:1 last:1 lgp:2 careful:1 irrelevant:1 spain:1 p2:1 k2:1 p0:2 eiw:1 contexts:1 leave:1 suitably:1 value:9 spontaneously:1 will:2 euclidean:2 while:1 suppose:2 lx:2 shall:3 many:1 situation:1 drives:1 couplings:1 procedure:3 iy:7 real:13 unitary:2 almost:1 averaging:1 metric:8 ir:2 thus:4 according:3 quantize:1 ik:1 tiny:1 yukawa:1 vanish:2 fermion:2 cp:2 different:4 anymore:1 perform:2 suggest:4 divergences:10 belong:1 radiation:2 lett:6 same:9 any:2 complex:6 arguments:2 pauli:1 multiplets:1 dimensionless:1 finite:1 higher:1 status:1 literature:2 again:1 appearances:1 numerical:1 effect:2 hand:5 v0:7 principally:1 levels:2 moving:1 dolgov:1 changing:1 invariance:5 kamenshchik:2 normalization:1 recent:1 prescribed:1 fourier:1 least:2 modes:2 nucleare:1 makes:2 ıvely:1 well:4 deal:1 without:2 solve:1 experimental:1 components:2 fixing:1 coordinate:1 five:1 model:9 arising:1 latter:2 charged:1 interpret:1 just:4 less:1 being:3 generally:1 rµν:2 obtain:3 rest:1 topic:1 via:1 mechanism:3 aspect:2 world:9 facts:1 talk:1 4πp2:1 tsung:1 villars:1 rnp:1 density:17 cl:1 seems:3 attractive:1 realize:1 iψ:1 interested:1 transformed:2 treatment:4 problematic:1 mod:4 reversal:1 transformation:10 momentum:9 resolved:1 cramer:1 aspects:2 analogy:1 ample:1 worlds:1 rules:1 phenomenology:2 breaks:1 kaplan:1 iε:4 possible:7 spanned:1 dark:1 reads:1 know:1 background:4 vacuum:32 press:1 imposed:2 shadow:14 accepted:2 complexification:4 formal:1 loss:1 theor:1 necessary:1 like:5 particle:4 follows:2 strictly:1 resorted:1 loses:1 dµx:1 dµy:1 yields:2 sezione:1 alternatively:1 become:1 works:1 reasonably:1 accessible:1 parity:1 satisfactory:1 right:2 classical:19 lectures:1 creation:1 some:9 back:1 towards:1 suppl:1 choosing:2 mirror:10 extended:8 provided:1 scale:5 dimensions:1 lead:2 fourth:1 erdem:1 opposite:2 integration:2 propagators:1 behave:3 decomposition:1 eliminate:4 provides:2 unavoidably:1 unstable:1 three:1 minimal:3 who:1 reasonable:1 equivalent:2 arbitrary:1 agreement:1 bj:5 pressure:3 shifting:1 although:2 imaginary:3 hilbert:1 transformations:2 sub:1 about:1 universe:4 energymomentum:1 generated:3 o:2 essential:2 compatible:1 covariant:1 extensions:2 reparametrisation:2 introduced:1 automatically:1 functions:2 cutoff:6 mechanics:1 rev:7 statements:1 presence:7 maxwell:1 into:7 within:2 integral:2 functional:7 devoted:1 andrianov:1 pair:4 appropriate:1 because:4 references:2 16πgn:4 einstein:6 operator:3 proportional:1 bosonic:1 notion:2 statistics:2 hep:6 weight:1 conceivably:1 comparing:1 support:1 there:8 question:1 transform:2 mar:1 class:1 accordingly:1 quadratic:3 bosons:3 low:2 way:3 forward:5 hooft:6 was:10 propagator:1 assumes:1 naturally:2 function:6 compensate:1 actually:1 complete:2 form:2 effects:2 differences:1 jun:1 but:10 sophisticated:1 giacconi:1 link:1 russian:1 ikµ:1 removed:1 true:1 ph:2 iϕ:1 vmin:1 minkowski:2 gravitational:2 uv:2 up:4 us:2 tseytlin:1 ckm:1 un:1 those:2 diagrams:1 sum:1 fluctuations:3 problem:10 similar:3 called:3 expect:1 originating:1 µx:1 kh:1 constant:41 uspekhi:1 flat:2 defined:2 certain:2 abstract:1 influence:2 direction:1 general:6 exist:2 barcelona:2 formulation:2 nazionale:1 supersymmetric:1 formalism:2 check:1 physical:1 grassmann:1 materia:1 compared:2 entirely:1 no:7 na:3 whereas:3 when:3 vanishes:2 field:25 other:5 role:1 spatial:1 department:1 massless:1 regularizing:1 operation:1 oneself:1 models:3 problems:2 meaning:2 important:2 log:1 variable:1 structure:1 ghost:8 kugo:1 independently:1 implies:2 coupling:5 4x:1 assume:3 requires:1 together:3 4q:1 mass:7 4k:2 time:32 far:1 backward:4 starting:2 original:2 once:3
0704.1438.txt |@word secondly:2 consider:9 remarkable:1 kℓ2:1 rev:2 magnetic:3 global:7 extensively:1 four:3 scalar:4 lr2:1 edu:1 consists:2 gm:1 contributions:1 whose:3 isometric:8 depend:1 calculate:1 b386:1 tw:6 roo:1 tr:2 ıa:1 quasi:4 compensate:1 manifolds:5 th:31 stable:3 microscopically:3 te:1 worth:1 norm:2 ın:3 p2:1 supported:3 straightforward:2 sitting:1 very:2 rise:2 harmonics:1 induce:3 choice:3 b430:1 fab:2 eφ:1 matrices:2 condition:4 generalised:1 entire:5 partially:2 intersections:1 obvious:1 4n2:1 did:1 irreducible:1 t4:5 having:2 solution:10 large:5 discrete:1 sorokin:1 vector:23 math:1 recall:1 relation:4 smith:1 lines:1 configurations:8 jhep:13 b531:1 zk:1 consistent:1 requirements:1 approximation:1 grant:1 zero:5 basu:1 cyclic:1 berenstein:1 unwrapped:1 further:2 cft:3 analogue:1 addition:4 even:1 what:1 plays:2 appear:1 trivial:2 section:8 dr2:1 supermultiplet:1 find:5 version:6 sigma:3 above:3 new:7 consisting:1 minimisation:1 satisfy:2 supporting:1 full:1 degree:2 respectively:3 wrapping:2 wraps:3 here:1 agreement:1 free:1 address:3 directions:9 along:17 xα:1 equations:2 appears:1 contraction:2 obtained:2 suitably:1 involved:3 study:4 vectors:3 spheres:2 superpotential:2 resulting:2 procedure:1 action:49 suitable:3 spacetime:4 involves:1 quotient:1 via:2 useful:2 extra:1 natural:1 gk:1 coinciding:1 onoma:1 total:1 derivatives:1 use:5 charge:8 reflected:1 takes:2 would:8 covariant:2 positive:1 motivate:1 bundles:1 finally:6 m5:4 m4:13 nucl:6 program:2 therefore:19 taken:5 associated:11 type:17 ciencia:1 more:6 mec:1 introducing:1 duality:13 becomes:2 under:4 problem:1 curvature:5 carrying:1 iia:7 iib:8 known:8 cases:1 must:1 taub:22 bena:1 account:1 ma:3 effectively:4 local:1 work:3 det:3 reads:1 cicyt:1 reproduce:1 del:1 kν:2 den:1 following:4 making:1 arrive:1 example:4 dropped:1 claim:1 give:2 expanding:7 preserving:1 cajal:1 dependence:1 involve:3 sphere:10 minimum:1 calvo:1 numbers:1 sense:1 rodr:6 mcgreevy:1 counterpart:2 ti:1 vanish:2 end:1 compactify:2 ahler:3 provide:3 describes:2 discussion:1 six:4 parametrised:2 makes:1 lozano:8 answer:2 plus:1 those:2 parameter:1 tension:4 product:1 ft:1 description:15 algebra:1 may:1 after:3 macroscopical:1 waves:20 representations:1 wave:2 proeyen:1 types:1 dω22:1 dissolving:1 waldram:1 eµi:1 dynamical:6 effective:4 gimon:1 bianchi:1 chern:3 explicit:4 yielding:1 su:19 b712:1 rather:1 yau:1 fp6:1 spain:4 b97:1 taking:3 representation:2 order:8 gµν:4 hashimoto:1 origin:1 interpretation:3 indeed:2 over:17 move:1 satisfied:3 jevicki:2 interpreted:1 stability:1 gauged:4 paper:2 through:5 existence:2 satisfies:1 still:2 y5:37 its:14 before:2 perfect:2 fis:1 group:9 exclusion:4 chosen:2 interesting:2 organisation:1 lm:1 coordinates:4 actually:3 forms:1 hirano:1 distinguishing:1 degrees:2 choose:2 mail:3 defining:1 supersymmetry:1 correspondence:2 non:10 ramallo:1 martelli:3 gauging:1 preserves:1 ıculas:1 graviton:28 they:2 das:1 now:6 discuss:1 dielectric:5 easily:2 term:4 several:1 dirac:1 spacetimes:3 scft:1 always:1 university:1 hamiltonian:5 backgrounds:1 identified:3 l6:2 sufficiently:1 l4:1 l2:7 mode:2 each:1 found:2 2n:3 difficult:1 side:6 instantonic:1 oviedo:2 mikhailov:2 square:1 just:5 directly:1 simplicity:1 energy:10 reduce:2 related:3 abelian:1 literature:3 expect:4 supersymmetries:2 our:27 operation:1 calling:1 es:2 out:5 try:1 shown:2 matrix:2 rr:2 space:12 restricted:1 furthermore:5 since:7 crucial:2 projected:1 denotes:1 content:4 fellowship:1 contained:4 geom:1 denoted:1 constants:1 induced:1 indicating:1 shows:1 commutation:1 earlier:1 theory:9 state:1 ort:3 ısica:3 diagonal:1 departamento:2 quite:2 base:2 put:2 van:2 dω2:1 dω3:1 cycles:3 ds2m:4 r2:7 geometry:3 could:1 ds2:1 so:4 traceless:1 motion:2 turn:3 lµ:1 symmetrised:2 universidad:3 dωm:1 tafjord:1 degeneracy:1 first:6 xj:1 xk:1 xi:4 features:1 symmetry:10 number:9 rank:1 restrict:1 eleventh:1 done:1 construct:2 quadrupole:2 carry:2 precisely:3 angular:8 size:2 given:16 introduction:1 adjoint:1 behaves:5 system:1 least:2 indicate:1 ekν:1 microscopical:6 kµ:2 wrapped:30 dt2:1 subgroups:1 1l:1 gives:3 shell:1 fraction:1 baryon:2 exactly:2 transverse:5 part:13 x2:1 fuzzy:23 eliminated:2 believe:3 peculiar:1 theor:1 princeton:3 sections:1 require:1 ramgoolam:1 see:11 janssen:6 determined:1 represents:1 were:1 identical:1 powers:2 lowest:1 survives:1 sw:1 ram:1 immirzi:1 correspond:1 winding:2 ans:1 v2:1 seen:1 dynamics:3 sotelo:1 strength:2 built:3 omez:5 self:9 gravity:4 note:4 instance:2 potential:6 take:7 gravitons:7 unconstrained:1 switching:1 play:4 regard:1 multiple:5 submanifold:1 trace:2 centre:4 any:4 object:1 centro:1 most:2 regular:5 importantly:1 letter:1 qµ:1 future:1 why:1 stands:1 remarkably:1 fu:1 surprising:1 considered:5 clear:1 later:1 coincides:1 km:1 dimension:1 traditional:3 dissolved:1 points:1 principle:4 diag:2 left:2 physics:1 fact:12 dijk:2 isometry:6 contracted:1 pope:1 show:2 probe:6 rotating:1 purely:1 spaces:2 gauge:7 solutions:1 va:4 ugr:1 d4:1 d5:3 d2:1 d3:3 substituting:1 fibre:20 giant:32 ıguez:6 sparks:3 enough:2 should:5 only:5 explicitly:2 generators:3 inherited:1 ministerio:1 kaluza:12 interested:2 equilibrium:3 do:3 learnt:1 klein:12 get:1 intersecting:1 de:11 db:2 sixdimensional:1 da:2 cannot:1 probably:1 dt:5 regarding:1 fqm:1 nicely:1 fields:4 arxiv:1 yield:1 summary:1 saturates:2 she:1 contain:1 fixed:1 gell:1 valid:1 doublet:3 view:2 ignored:1 moduli:4 set:2 constructing:1 imposing:1 nut:22 maximum:1 connections:1 depends:3 radius:6 european:1 λj:1 discussions:1 theoretic:1 kinetic:2 ydri:1 situation:1 closer:1 fivedimensional:1 tensor:6 away:1 dualising:1 dipole:2 microscopic:1 symmetric:1 written:3 µn:4 identification:1 between:3 invariant:2 conditions:1 preserve:1 notice:2 terms:8 str:3 nature:1 component:1 attention:1 however:8 killing:13 vanishing:2 dualize:1 configuration:26 cosmos:1 thank:1 both:4 piece:1 b518:1 iℓ:11 mrtn:1 contract:1 agree:1 april:1 connection:2 instanton:1 context:2 casimir:3 contribution:2 adapted:1 mann:1 ansatz:10 generalisation:2 point:4 reasons:1 seems:1 jk:1 corresponds:3 except:1 minimised:3 cs:2 respect:3 cp:13 branes:4 eµν:2 described:5 transformations:3 second:4 quantisation:1 locally:2 he:1 due:7 been:10 ja:2 commission:1 reduction:2 much:1 agrees:1 pl:1 define:1 dots:1 direction:54 relations:1 corresponding:5 scalars:15 lives:1 2if:1 2n2:1 general:5 spirit:1 present:2 c4:1 case:16 k2:1 guarantees:1 kappa:1 look:1 turns:1 leave:1 balachandran:1 value:3 will:24 fubini:1 while:4 leaves:1 eif:2 cancelled:1 orica:1 property:1 conformal:3 couplings:3 cafpe:1 ix:7 vb:1 studied:2 commutative:1 simons:3 ip:1 metric:5 conjugate:1 thus:3 them:1 couples:1 hints:1 ik:7 dual:16 fibration:1 limit:4 sits:2 conserve:1 ikℓ:1 propagation:2 generic:6 b669:1 make:1 andaluc:1 same:6 clearly:3 φa:16 parts:1 finite:1 propagate:1 breaks:2 higher:2 independent:2 used:5 embedding:4 trivially:2 upon:1 effect:3 sym:1 hand:4 grisaru:1 moment:1 moving:1 susskind:1 invariance:1 tonin:1 totally:1 expand:6 minimally:1 myers:3 modes:1 charges:1 whole:1 well:4 b398:1 without:1 avda:1 components:2 coordinate:4 position:5 model:3 latter:1 subgroup:2 spherical:7 manifold:11 itzhaki:1 proposed:2 minima:1 being:1 boer:1 starting:1 rest:1 vanishes:3 infeld:1 identify:1 λk:1 multiplet:5 λi:1 yet:1 previous:4 adv:1 speculate:1 ads:6 candidate:1 conclusions:2 complexification:1 regarded:1 guaranteed:1 pupt:1 source:1 craps:1 internal:2 lett:5 mandal:1 extensive:1 practise:1 momentum:22 real:1 aut:1 around:8 alternatively:1 couple:1 decomposed:1 possible:9 five:8 ciencias:1 background:11 using:4 moreover:4 coincide:1 eyras:2 dimensional:20 b643:1 necessary:1 like:6 particle:6 follows:1 reduces:2 flux:4 bps:2 schalm:1 integrals:1 arbitrary:2 become:1 works:1 topologically:1 therein:1 sketch:1 because:6 namely:1 truncated:1 mathur:1 madrid:1 successfully:1 some:3 sensitive:1 ct:1 born:1 examples:1 specified:1 pψ:3 ijk:3 describing:2 gα:2 lead:1 investigations:1 hodge:2 integration:1 does:6 decomposition:3 propagating:2 minimal:1 refer:3 particular:2 radial:3 bi:1 expansion:1 pasti:1 d71:1 although:3 atze:1 properties:1 simpler:2 constraint:1 freedom:4 meaning:1 compatible:1 remains:1 carries:1 ensure:2 stand:1 act:1 worldvolume:22 constraints:3 d3brane:1 d63:1 contains:6 ordinary:1 bergshoeff:4 presence:2 orders:2 into:13 integral:1 bound:2 three:1 appropriate:2 right:1 references:2 laplacian:1 determine:1 einstein:15 operator:1 proportional:2 bosonic:1 mere:1 physical:1 realisation:1 spinors:1 acknowledgements:1 hep:31 assumed:1 there:5 question:1 dispersion:3 start:2 quadratic:4 naqvi:1 way:4 was:3 function:3 bert:1 gauntlett:1 annals:1 form:21 b410:1 brane:16 jun:1 but:6 volume:2 reeb:4 construction:15 level:1 parametrise:1 ns5:2 truncation:1 pull:1 coset:2 arranged:1 whether:1 wish:1 gravitational:14 up:4 us:4 2πn:1 kk:20 below:3 ωm:4 ug:1 monopole:65 similar:3 called:1 ab:4 constant:2 defined:10 abstract:1 describe:7 determinant:1 denote:1 globally:1 quantum:1 conserved:1 corley:1 formulation:1 supersymmetric:1 adsm:3 identities:1 check:1 sasaki:13 constructed:10 diego:1 nj:1 conifold:2 granada:2 no:3 whereas:2 when:9 backs:1 junta:1 field:29 other:5 role:6 details:3 branch:1 spatial:2 department:1 massless:9 ads7:1 ads4:1 ads5:31 star:1 r8:1 truncate:1 living:1 keep:1 toumbas:1 time:1 vertex:2 bundle:12 generated:1 bounded:1 validity:1 variable:1 patch:2 c2:5 structure:3 implies:1 coupling:11 dψ:2 assume:2 dχ:1 dτ:3 δx:1 together:1 original:3 ki:1 implied:1 educaci:1 stringy:4 4g:2 n2:6 expands:1 strings:1
0704.1439.txt |@word magnetically:1 limited:1 sci:1 consider:1 rev:16 magnetic:3 varying:1 results:4 ginzburg:2 shot:1 zinn:1 dimensionality:2 depend:1 fellowship:1 technique:1 baym:1 tail:1 does:1 under:1 dramatically:1 apparatus:1 applied:1 far:5 frequencies:2 huang:1 wave:4 sons:1 every:1 govern:2 resonant:2 experimentally:1 exact:1 minute:1 diverging:1 cavendish:1 t0:2 large:2 damle:1 possibility:1 dilute:1 disordered:1 ten:1 coefficient:1 direct:3 approximation:2 second:4 arnold:2 errors:1 adds:1 trapping:1 rate:5 giving:1 offsets:1 while:1 expressed:1 access:2 version:2 above:7 method:1 body:1 troyer:1 segmentation:1 ranged:1 here:2 understanding:2 behaviour:1 spaceborne:1 condenses:1 separation:3 strong:1 change:1 obtained:1 institute:1 shift:1 study:1 studied:1 allows:2 approaches:4 leaving:1 amount:1 resulting:1 published:1 resonance:1 changes:1 plotted:1 spatially:1 stray:1 scales:2 apr:1 offset:1 visible:2 addressed:1 analyzing:1 esslinger:3 λdb:11 renormalization:2 plot:1 use:2 takes:2 would:2 predictions:1 optimize:1 therefore:2 theoretical:3 marginally:1 more:2 separated:1 lowering:1 becomes:2 visibility:12 controlling:1 particular:1 known:1 cases:1 justin:1 sample:3 mf:2 onsager:2 mm:1 science:3 work:1 tc:17 glauber:1 ρs:1 values:1 temperatures:1 ms:1 believed:2 making:1 example:2 challenging:1 figure:2 thermally:1 neglected:1 stricker:1 escaped:1 collision:1 slit:1 axis:1 information:1 united:1 varied:1 hasenbusch:1 meanwhile:1 regions:3 very:3 nontrivial:2 criterion:2 pure:1 instead:1 parameter:8 description:1 our:9 wiley:1 reflect:1 waves:1 fits:1 horizontal:1 law:2 data:8 response:1 liquid:4 light:1 parameterized:1 carusotto:1 so:3 fundamental:1 correlation:29 acknowledges:1 order:14 bins:2 sd:2 over:4 expects:1 thomson:1 thermal:8 experiments:1 through:3 statistical:3 differs:1 cold:1 avenue:1 its:4 before:1 group:2 thank:1 fit:5 πr2:1 personal:1 temporal:2 vicinity:2 decreases:1 detected:1 offers:1 fig:5 mail:1 mulders:1 correspondence:1 non:3 good:2 richness:1 universality:4 landau:1 scaling:2 effects:1 they:3 accumulate:1 singularity:1 university:2 classified:1 transmission:1 magnitude:1 trap:6 each:2 higher:1 side:1 characterized:1 mean:8 homogeneous:5 generation:1 energy:1 gaussian:2 related:1 decays:3 entering:1 measure:2 quantum:5 laboratory:1 approximated:2 transitions:6 eq:5 mat:1 magnet:1 shown:1 funding:2 matrix:3 interference:6 denotes:2 collisions:1 rb:1 electronics:1 dominate:1 red:1 shows:3 theory:7 interactions:2 cheneau:1 divergence:4 diagonal:1 free:3 completely:1 pairs:1 interaction:2 elastic:1 geometry:1 determining:1 could:1 transition:22 times:1 creates:1 length:28 instrum:1 place:2 ture:1 neglect:1 first:2 already:1 symmetry:1 reveals:1 omitted:1 number:2 reaches:1 moritz:1 xy:1 gases:1 directly:3 impossible:2 precisely:1 size:3 given:4 1r:1 temperature:33 similarly:3 condensate:3 system:11 approximately:2 indicate:1 calculations:1 campostrini:1 john:1 exponents:4 gives:1 originating:1 trapped:11 ritter:1 relative:1 exactly:2 accurately:1 transverse:1 blatter:1 released:2 wenger:1 weakly:7 tempera:1 finesse:1 than:4 distance:5 showed:1 double:1 typically:1 zero:2 ranging:1 superfluid:4 determined:4 vautherin:1 insightful:1 perturbative:2 hz:1 ev:3 remained:1 locations:2 curves:1 st:1 their:2 strength:1 pelissetto:1 minimally:1 majumdar:1 responsible:1 downwards:1 gravity:1 onset:1 sciences:1 high:1 potential:2 detector:1 stringari:1 hyperfine:1 broglie:6 beyond:3 probed:1 naraschewski:1 impurities:1 most:2 propagate:1 phase:23 marie:1 extremely:1 class:3 interacting:12 doi:1 observation:2 considered:1 calculated:3 later:1 implications:1 heat:3 physica:1 kr:1 optical:1 exp:3 typical:1 physics:6 width:1 fact:2 spaced:2 show:2 detection:1 probe:2 scattering:2 relation:1 svistunov:3 longer:1 find:3 ground:1 parameters:1 window:1 zwerger:1 should:1 dalibard:1 only:6 experiment:3 corresponds:1 local:1 dominant:2 untrapped:1 permission:1 beams:2 de:6 overall:1 meif:1 beam:1 longest:1 despite:1 report:1 during:1 symmetrically:1 averaged:1 gray:1 lalo:1 exhibiting:1 conditions:2 arxiv:1 europhys:1 predicted:2 mapped:1 switzerland:1 pitaevskii:1 inferred:1 rms:1 bars:2 set:3 reference:1 sep:1 acquired:1 kuklov:2 correlations:2 0he:1 transferred:1 observed:2 depends:1 radius:2 result:1 enhanced:1 discussions:1 close:6 senthil:1 nissen:1 techniques:1 fails:2 detect:1 capacity:1 exponent:15 matter:2 pattern:5 µm:7 case:1 state:3 classes:1 between:3 vicari:1 approach:1 arrival:1 terms:1 extend:1 nature:4 initially:1 weak:1 however:3 interfere:2 efficiency:1 jj:1 bose:19 atoms:10 both:2 decay:1 according:3 contract:1 battelier:1 chosen:3 eth:1 experimental:3 among:2 ch:2 blaizot:1 fields:1 cm:1 point:2 simple:1 harmonic:2 expectations:1 dimensional:2 moreover:2 ct:1 hadzibabic:1 described:1 bourdel:1 px:1 py:1 three:2 been:5 ansch:1 whom:1 trigger:1 logarithmic:1 expected:2 sachdev:1 systems:6 controlled:2 confining:1 quantities:1 gas:20 argument:1 observe:3 determination:1 systematic:2 spin:1 sound:1 intriguing:1 curie:1 josephson:2 solid:2 originate:1 value:13 near:3 behavior:5 error:9 situation:1 bin:2 ohl:2 larger:1 coupled:1 thus:1 heating:3 itself:1 cond:1 helium:6 currents:1 increased:1 different:5 author:1 ahlers:1 lett:7 same:4 orders:1 noninteracting:1 uncertainty:1 finite:4 difficult:1 independent:1 investigated:2 see:1 numerical:1 driven:1 compared:1 urich:2 holzmann:1 paredes:1 mech:1 off:1 center:3 scenario:1 well:1 analysis:3 materials:1 sets:1 model:1 redistribution:1 usual:1 magnetization:2 swanson:2 just:3 less:1 being:3 when:4 oxford:1 unclear:1 atomic:5 predicts:1 macroscopic:2 yet:1 brennecke:1 density:9 absorption:1 ideal:1 weiss:1 treatment:1 complements:1 momentum:1 kingdom:1 march:1 definitive:1 criticality:1 measurement:5 period:1 increases:3 background:1 press:1 using:6 unique:1 coincide:1 advanced:1 occurring:1 like:1 particle:1 uger:1 exploiting:1 arrivals:1 harmonically:1 specific:2 alternatively:1 underestimation:1 become:4 reduced:3 cooled:1 lipa:3 oferle:1 right:1 schematics:1 methods:1 classical:2 phenomena:3 algebraically:1 respect:1 images:1 provided:1 scale:9 dimensions:2 lead:1 sufficiently:1 cavity:3 measurements:5 microwave:2 machta:1 critical:46 cloud:5 shlyapnikov:1 mode:1 noise:1 power:2 slight:1 seconds:1 agreement:2 how:2 output:3 properties:2 burovski:1 ferromagnetic:1 algebraic:2 kinoshita:1 introduces:1 dependence:1 o:1 range:8 introduced:1 bloch:1 mechanics:1 cambridge:2 presence:1 into:2 within:2 due:4 because:1 determine:4 einstein:6 proportional:1 bosonic:1 rossi:1 often:1 prepare:1 measured:6 long:6 start:1 accordingly:1 much:1 bosons:2 low:1 fraction:1 was:2 function:17 overlapping:1 repeated:1 condensation:5 ethz:1 atom:5 line:4 prokof:3 posted:1 ωy:1 ωx:1 ωz:1 temp:1 characteristic:1 inside:1 variations:1 flip:1 us:1 placed:1 below:4 frequency:1 limit:1 planes:1 fluctuations:13 average:1 strongly:3 diverges:3 constant:1 moore:1 defined:1 cover:1 universal:1 describe:1 condition:1 proven:1 general:2 eu:1 single:3 wavelength:5 niu:1 corresponding:1 regime:9 vertical:1 extending:1 nk:3 nm:1 calibration:1 extract:1 whereas:1 generally:2 field:8 other:3 giorgini:1 holding:1 spatial:2 stat:1 may:2 evaporatively:1 cb3:1 schori:1 chui:1 correlated:2 coupling:2 requires:1 governed:1 inset:1 dramatic:1 time:8 n1:1 resolution:4
0704.1440.txt |@word katz:3 sci:1 consider:2 chain:1 results:2 partial:2 centers:1 row:3 whose:2 kristallogr:1 tn:6 finally:1 present:1 determinations:1 stable:4 characterised:1 case:2 deforming:1 orthogonal:1 electron:1 approximate:1 experimentally:1 matrices:1 deformations:1 generalised:1 tilings:10 level:1 transmission:1 positions:1 almn:1 t2:2 solution:1 large:4 discrete:1 vector:4 reshuffling:2 noted:1 smaller:1 consistent:1 direct:1 rhomb:1 second:1 further:1 substitute:2 canonical:1 even:1 selected:2 near:1 expressed:1 cell:5 experiment:1 above:1 new:4 continously:1 method:1 3d:2 textures:1 bi:1 full:2 degree:11 respectively:3 component:5 here:3 atoms:1 represented:1 along:1 change:1 extreme:1 cryst:1 vectors:5 suggests:1 periodic:1 resulting:2 climb:4 changes:1 elongated:2 uniquely:1 named:1 via:1 projection:5 apr:1 highly:1 apply:1 unit:5 diagramm:1 would:1 durand:1 examination:1 therefore:2 rearranging:1 type:1 start:1 more:1 fractions:2 introducing:3 cases:2 aligned:1 iii:1 ii:1 strain:1 deformed:1 mn:1 values:2 making:1 could:1 numbers:1 f1:1 f2:1 rosenfeld:2 mackay:1 figure:2 process:1 hexagons:2 high:1 minimum:1 fibonacci:2 gastaldi:1 axis:2 needs:1 s3:1 s2:1 s1:1 six:2 arrangement:1 tile:5 sin:1 substructure:1 hence:2 plane:4 physik:2 data:1 parallel:4 constants:1 author:1 correspond:1 si:1 ones:1 so:2 fundamental:1 discussion:1 hennion:1 s0:2 quasiperiodic:1 move:1 ttt:2 approximants:21 through:2 s4:1 its:2 glide:3 hanke:1 resort:1 degrees:2 fig:5 clusters:7 main:1 shear:3 correspondence:1 them:4 combination:1 material:2 introduce:2 touching:1 they:2 now:1 discuss:2 february:1 finite:1 presented:1 approximant:1 theory:1 each:3 2m:2 universit:1 side:1 subset:1 ei:1 directly:1 ej:1 energy:3 journ:1 displacement:4 related:2 t3:2 b3d:3 our:2 transitions:1 shearing:1 special:1 mat:1 shown:4 space:5 gradient:1 furthermore:1 since:6 rev:4 projected:2 beraha:4 suffices:1 linear:3 complicated:1 besides:2 e1:5 shortest:1 rearrangements:2 created:3 just:1 running:2 motion:8 length:4 assumed:1 consequence:1 moving:1 onto:1 first:1 staggered:1 shears:1 mag:7 symmetry:2 number:3 theoretische:1 defects:1 another:1 given:2 necessarily:2 similarly:1 introduction:2 leading:4 ci:1 system:2 least:1 fm:15 excitable:1 needed:2 observations:4 πt:1 structures:1 2fm:1 urban:2 l3d:1 calculations:1 exactly:1 ubingen:1 authors:1 translation:1 diffusion:1 distance:2 determines:1 penrose:4 t3d:4 zero:1 modelled:2 need:1 any:2 viewed:1 lie:3 built:2 latter:2 hosono:1 note:1 rearranges:1 negligible:1 play:2 continuous:1 hypervolume:2 centres:2 extending:1 germany:1 phase:38 inserted:1 especially:1 neighboring:5 calculated:3 phil:7 face:1 takeuchi:2 dissolved:1 pfaffenwaldring:1 dragged:1 fact:1 quasicrystal:3 show:2 supported:1 ending:1 discovered:1 spaces:1 relation:1 substituting:2 hypercube:1 atomistic:1 mengel:1 knowledge:1 behind:1 hyperspace:9 only:3 factor:1 adequate:1 local:1 columns:3 do:1 tiles:11 triangle:1 reconstruction:1 klein:6 get:1 occuring:1 de:2 sixdimensional:1 cannot:2 during:1 interpreted:1 fields:1 arxiv:1 microscopy:1 consisting:1 movement:1 view:1 observed:4 see:1 projections:1 surfaces:3 phases:10 sites:1 symmetric:1 engel:4 various:1 simplest:2 consecutive:1 justified:1 email:1 multiplied:1 vertical:1 comp:2 complement:1 however:3 both:3 cos:1 according:1 assure:1 und:1 substituted:2 hrtem:3 contribution:2 experimental:1 gratias:3 point:1 simple:2 seems:1 dislocations:11 corresponds:1 environments:1 dimensional:7 respect:1 dislocation:9 boat:1 most:2 described:3 basis:1 locally:2 three:4 been:5 phononic:4 minimise:1 steurer:2 pn:1 direction:5 6d:4 formed:1 coherent:1 c3:1 c2:1 c1:1 c0:2 those:3 c4:1 applied:1 splits:1 solid:1 transformation:1 will:3 while:2 caudron:1 bartsch:1 identical:2 orientation:2 thus:1 non:1 surface:2 decoration:1 cluster:6 arrangements:1 cond:1 situ:2 binary:1 different:3 tiling:9 pentagons:1 stuttgart:3 same:3 arguments:1 units:1 several:1 structurally:1 possible:1 inbetween:3 uses:1 uni:1 frequently:1 recent:1 centred:1 modes:1 no:3 well:3 burgers:7 solids:1 edge:2 components:1 deflated:1 model:5 dimension:1 left:2 proposed:1 obtain:2 rest:1 atomic:11 alternative:1 yet:1 cut:8 had:1 lattice:3 5i:2 lett:4 decagon:2 mandal:1 excited:2 angewandte:1 trebin:4 term:1 possibly:1 five:1 know:1 press:1 using:1 acute:1 like:1 shaped:4 follows:1 interestingly:1 isotropy:1 serves:1 separately:1 yields:1 schall:1 rearrangement:1 right:1 who:1 alternated:4 b1:3 b2:4 mirror:2 images:2 bξ:1 lead:1 centre:2 fivefold:1 per:3 does:1 assuming:1 core:4 ecut:2 minimization:1 deflation:1 rhombs:4 jumps:2 perpendicular:5 bt:4 tenfold:2 although:1 substitution:1 approximating:1 between:3 simpler:1 quasicrystals:1 column:1 freedom:12 introduced:1 ξn:6 accompanied:1 into:4 boundaries:1 elasticity:1 due:2 references:1 often:2 rows:8 institut:1 additional:3 refinements:1 there:7 phason:16 decagonal:3 way:1 suzuki:2 lowest:2 form:1 metastable:1 hs:1 triangular:1 but:2 volume:2 construction:1 newer:2 line:1 arranged:3 mtrl:1 up:1 ur:1 work:1 planes:13 similar:1 called:3 constant:3 defined:1 abstract:1 b3:2 ar:7 exist:2 obtuse:1 formalism:3 constructed:2 again:2 inflated:1 nm:24 variety:1 other:1 role:2 out:1 conclusion:2 star:1 excitation:2 models:3 important:1 flattened:1 additionally:1 decorated:1 structure:1 building:1 correlated:1 coupling:1 assume:1 resolution:1 diffraction:1 together:2 4m:1 affirmed:1 starting:1
0704.1441.txt |@word magnetic:12 desirable:1 ginzburg:4 entropy:3 consists:3 whose:3 calculate:3 aug:1 characterises:1 γj:1 γh:2 under:2 characterised:2 conjecture:1 replaces:1 every:1 figs:4 experimentally:1 aaaaaaaa:373 34a:1 34b:1 suffices:1 solution:8 convenience:1 vector:12 indices:1 pyrochlore:3 excited:3 plaquette:23 direct:1 millet:2 approximation:6 surrounding:1 second:19 q1s:7 qualitatively:3 even:2 established:1 incompatible:1 above:11 new:1 net:5 consisting:4 coefficient:4 27a:2 27b:2 27c:1 simultaneously:1 here:27 fairly:1 q12:18 spinspin:2 nearestneighbour:2 κs:11 obtained:18 substance:1 study:6 changes:1 moessner:2 highly:1 modulated:2 diagonalising:2 total:9 unit:2 plot:1 would:8 hiroi:1 played:1 negative:3 therefore:7 survive:1 type:6 until:4 separated:4 separates:1 aligned:1 must:13 abundance:1 mf:3 join:2 rα:2 quartic:1 work:5 exceptions:1 example:1 imσ:1 wang:2 indicated:1 hexagons:1 aaaa:1006 indicates:1 degenerate:6 looses:1 end:5 provide:2 feature:1 recovers:1 how:1 nontrivial:1 hop:1 answer:1 description:4 thermodynamic:5 after:6 confirmed:1 demanding:1 diagram:11 parallel:2 constants:3 attempt:1 third:3 correlation:6 acknowledges:1 order:72 over:7 vary:1 expects:5 affect:1 senthil:1 lhuillier:4 nets:1 diagonalized:1 fit:2 fix:3 exhibits:1 fig:76 maximal:1 them:3 combination:1 break:1 effects:5 they:8 raghu:1 represents:2 hamiltonian:24 bono:2 each:4 bona:1 ferrimagnetic:19 side:3 mean:20 lifted:2 24a:2 independent:11 magnets:1 rovers:1 corrigendum:1 crucial:1 ra:1 ri:2 rj:4 linear:8 mσ:4 free:3 formation:1 estimate:1 incorporates:1 r1:6 r2:26 ds2:3 ds3:3 iso:1 δij:1 arccos:1 corrections:2 degeneracy:8 already:1 features:2 render:1 restrict:1 illustrate:1 similarly:1 eqs:19 tot:2 needed:3 zeros:1 too:3 ordered:11 variational:2 mambrini:1 zeroth:11 lower:6 task:1 somewhat:1 begins:1 distance:3 roles:1 nbi:4 collinear:3 matter:7 powers:2 spectrum:13 manner:4 seen:4 seek:1 strength:3 convenient:2 latter:2 acquire:1 shall:1 germany:2 phase:97 iterate:1 observation:1 calculated:3 vertices:2 points:2 sum:6 iǫ:2 gauge:1 solutions:3 analogue:3 d2:2 ock:1 summarised:1 layout:1 41a:1 41b:1 rich:2 adequate:1 continuity:2 do:4 dk:4 de:1 dc:30 preferred:1 emf:18 misguich:3 fields:3 shape:2 acknowledgments:1 twice:1 interspersed:1 analytical:7 kagom:32 observed:1 depends:2 result:10 best:1 techniques:1 yamamoto:1 tensor:1 symmetric:11 saddlepoint:1 uemura:1 approach:23 wf:13 accord:1 terms:6 extend:1 nature:2 weak:2 however:10 iδa:1 extent:1 bose:2 adapting:1 ranges:1 cos:16 against:3 distinction:1 contribution:3 presumably:1 elg:18 represented:2 speak:1 basis:3 chirality:14 three:10 been:17 much:2 interest:3 basic:2 expected:4 quantities:4 lift:1 doubts:1 maximally:1 spin:90 applied:1 transformation:1 applies:1 leaves:2 procedure:5 seven:1 n2l:1 iv:5 ii:5 cond:1 ic:35 containing:1 wdc:7 perform:1 suggest:1 complex:1 dimensionless:1 several:4 grows:1 qji:1 i1:19 i3:2 numerical:16 hand:3 kii:3 braunschweig:1 potentials:4 εy:1 weakly:1 kept:2 tains:1 possesses:1 left:6 proposed:2 rotates:1 eigenstates:2 stratonovich:1 previous:2 adding:1 candidate:3 coplanar:1 easy:1 iα:8 breaks:2 possible:8 boxes:2 unique:2 nikolic:1 excitation:7 performing:1 steps:2 arbitrary:2 valence:1 right:6 subsec:1 proceeding:3 takigawa:1 contributing:1 exposition:1 kobayashi:1 gapless:2 yields:6 minimization:1 derivatives:4 hsp:4 properties:10 takes:1 obi:1 o:16 summarise:1 plus:1 eight:1 slightly:1 lieb:4 considerations:2 primitive:2 bound:3 auerbach:1 down:2 remarks:1 approximate:2 s23:1 was:7 gij:3 lowest:4 bert:2 form:10 conclusively:1 true:2 b5:1 inside:16 maximum:3 crystal:1 decorate:1 b1:6 qij:9 model3:1 qic:2 a1e:1 a1d:1 conserved:1 a1f:1 a1a:1 a1c:1 a1b:1 distributions:9 check:2 triangles:21 constructed:2 dotted:1 no:16 b8:4 whereas:2 when:6 vanishes:7 setting:1 role:2 np:1 ns:9 picture:4 models:6 ξq:2 variable:1 regime:2 interval:3 together:2 time:2 chain:12 switched:1 global:2 leads:4 per:2 mila:3 b41:2 remarkably:5 row:14 layers:1 certainly:1 hold:1 depend:2 zone:6 graph:1 technique:2 finally:4 compensate:1 elliptic:2 marks:1 advantage:1 orthogonal:1 frequencies:9 lro:17 choice:3 exact:10 level:1 turns:2 anisotropy:14 magnet:1 solved:1 upper:2 prediction:1 sign:3 appear:1 axes:1 favour:2 uniform:1 current:1 satisfy:7 perpendicular:1 xλ:3 hillier:1 cos2:1 elser:1 alone:1 along:14 appears:4 change:2 magnetisation:8 studied:5 starykh:4 trial:1 decouple:2 studies:3 spatially:5 translational:2 working:1 positive:17 theoretical:4 sharing:4 validity:2 appendix:7 cases:3 eα:2 valued:1 ferri:1 values:27 following:9 arrive:1 caf:5 attain:1 nearest:5 want:1 expanding:3 sense:2 sample:1 performed:1 allowed:3 counting:1 occur:3 s3:5 tilt:1 discussion:3 means:1 write:4 fourth:7 parameter:14 mat:1 may:15 max:3 23a:1 23b:1 expectation:3 applications:1 produce:1 ky2:1 bundesanstalt:1 grow:1 hannover:2 natural:4 liquid:2 sp:32 sw:1 sv:1 su:12 sk:3 sj:13 si:21 so:10 sc:2 sb:1 sa:2 increase:1 michel:1 typical:2 breaking:2 indeed:3 ities:1 brehmer:1 stability:2 lsw:3 experiments:1 differs:2 still:2 derive:1 group:5 thank:1 jij:8 vicinity:1 decreases:3 forms:1 tors:1 main:1 apel:3 non:7 introduce:1 half:2 now:2 discuss:1 nor:1 term:11 corners:1 arrows:1 el:1 square:1 g2:15 ee:1 expansions:1 ea:5 eb:6 owing:1 ey:1 ex:1 happen:1 eq:77 spinon:6 canada:2 emerges:2 shown:6 space:3 furthermore:1 looking:1 attracted:1 shows:3 earlier:3 theory:4 quite:1 ord:1 e1:6 e2:34 derivation:1 transition:18 turn:2 βi:1 first:20 origin:1 symmetry:7 subrahmanyam:1 variables:15 directly:2 xq:3 size:1 given:7 mendels:2 theoretische:1 indicate:2 monotonously:3 hue:1 continuous:3 x2:1 x3:33 eliminated:1 x1:1 than:9 coefficients:10 effective:5 accordance:1 require:1 were:7 correction:1 argument:1 distorted:1 recover:1 occupied:1 any:3 numerics:2 bernu:3 note:3 emphasis:1 potential:1 take:2 online:17 negligible:1 begin:1 opposite:1 enter:2 successive:2 pair:2 analytically:6 xµ:8 considered:2 later:3 implications:1 kallin:1 laws:1 b45:1 b44:3 b47:3 b46:1 q42:5 b40:3 b43:1 b42:3 leibniz:1 unfrustrated:1 b49:1 b48:4 notations:1 corner:5 kx2:1 ground:30 ratio:7 written:1 analytic:2 only:16 explicitly:2 extremum:4 narrows:1 get:1 straightforwardly:2 satisfied:2 cannot:4 bβi:1 neither:1 reveal:1 reading:1 mattis:4 yield:2 summary:1 predicted:2 j1:2 j2:3 j3:1 relative:3 us:6 antiferromagnet:19 uncorrelated:1 surfaces:3 ways:1 subsequent:1 review:2 sites:25 boundaries:8 enough:1 plaquettes:10 between:30 αi:1 justified:1 αj:6 notice:1 vertical:1 takagi:1 jm:1 concentrate:1 jf:6 suppressed:1 parentheses:1 tractable:1 many:1 region:19 according:8 flipped:11 dated:1 expression:8 among:4 color:17 exploit:1 lagrange:6 constant:8 considering:1 configuration:3 refrain:1 sachdev:4 direction:15 6j:1 formed:1 implied:1 observe:1 zeng:2 jǫ:2 former:1 those:4 case:23 chap:1 cast:3 ongoing:1 promising:1 irrespective:1 planar:2 coupled:7 nohara:1 middle:10 different:13 develop:1 etc:3 insofar:1 same:10 arguments:2 physical:5 zhitomirsky:1 investigated:2 singapore:1 trivially:1 drives:1 harris:1 invariance:1 modes:4 without:1 solve:2 coordinate:1 model:58 nb:4 manifold:3 generalisation:7 being:2 bγi:2 captured:1 b17:1 schollw:1 seems:1 except:1 wavevector:3 tio:1 treatment:5 extensive:3 eigenstate:1 aspects:1 around:4 eigenvalue:1 read:3 b53:1 b51:1 b56:1 psg:1 b54:1 b55:1 dark:1 using:2 part:5 aiming:1 mod:1 reduces:1 benefit:1 either:5 integrals:4 downward:16 inter:1 reduced:1 moreover:2 nonzero:3 provided:1 eiδ:1 confirm:2 gapped:1 critical:1 moderate:1 process:1 scientific:1 retains:2 equivalent:2 evolve:1 explicitely:1 2n:6 comparison:2 vishwanath:2 central:1 ferromagnetic:2 discussed:3 sro:9 act:2 bond:8 jδ:18 numerically:3 jβ:5 jγ:1 references:1 determine:14 operator:3 theoretically:1 technically:2 aniso:7 assumed:3 24b:1 dispersion:5 hef:8 low:9 survives:3 complete:1 elimination:1 applying:1 qualitative:4 connect:1 strongly:5 cba:1 af:2 certain:3 describe:2 general:5 ap:1 ensuing:2 corresponding:3 moves:1 intra:1 again:1 completeness:1 stationarity:4 sublattice:1 field:23 valid:2 polar:1 oneself:1 condens:5 symbol:1 remarked:1 deriving:1 a3:2 important:2 bounded:2 peak:1 tackle:1 decorated:1 building:1 condensation:1 perturbatively:3 casts:1 appl:1 starting:2 original:11 represent:1 consider:11 pointing:20 follow:1 expressions:13 research:1 causes:1 tj:2 presentation:1 very:3 translations:1 ln:5 difference:3 condition:6 everts:4 lecheminant:2 collinearly:3 applicable:1 large:35 small:14 abbreviated:1 b29:2 b28:2 b27:1 b26:3 b25:4 b24:1 b23:1 b22:1 b20:3 nbj:1 zero:12 further:9 chair:1 canonical:1 subscripts:1 what:1 diag:1 section:6 brief:1 version:4 intersect:1 method:3 contrast:6 condensed:1 full:4 ranged:1 loose:1 component:2 behaviour:6 mckenzie:1 situation:1 directions:11 strong:7 equations:3 search:1 antisymmetric:1 allows:4 periodic:1 published:1 action:1 uniquely:3 via:1 requiring:1 select:2 proceed:2 contains:1 kmin:70 qcb:1 qca:1 taken:1 iteratively:2 more:2 substances:1 operators:4 site:14 particular:8 known:1 projective:1 pendix:1 equation:5 det:1 jdc:12 remain:5 ions:2 compare:1 suggestions:1 states:49 unbiased:1 model11:1 minimum:8 numbers:3 arise:1 exclude:1 axis:3 information:2 respective:1 rather:3 acts:2 eigenenergies:1 before:1 ensemble:1 singularities:1 reflect:1 state1:1 plane:3 horizontal:6 fm:31 short:3 spectra:1 lhs:1 playing:1 ito:1 help:1 distortion:2 top:1 paper:2 through:3 signs:2 existence:7 kinetic:1 avenue:1 its:10 energies:1 solving:5 boson:2 detected:1 pend:1 systems:1 might:1 deformation:1 good:1 easily:1 2q:1 2s:2 always:3 presented:3 found:10 universit:1 2j:3 heavy:1 weight:2 energy:28 idea:1 expect:3 quantum:33 organised:1 beyond:1 b3a:1 b3b:1 b3c:2 since:16 denotes:2 dominated:1 evaluation:4 occurs:4 b38:3 b39:1 b34:1 b35:3 b36:4 b37:1 b30:1 b31:5 b32:4 b33:4 qualify:1 put:1 generate:1 just:1 persists:3 technische:1 exponentially:4 consequence:3 assign:1 number:21 done:1 differ:3 perturbation:12 temperature:1 introduction:2 leading:1 least:1 assumption:1 expand:3 calculations:8 show:11 recovered:1 larkin:1 immediate:1 optical:2 authors:3 kind:1 determines:4 double:2 annihilation:1 determined:8 contrary:1 str:1 peierls:1 tchernyshyov:1 s22:1 depending:4 lim:2 self:5 k2:2 k0:6 analogy:1 finding:2 unperturbed:1 towards:2 kaf:14 measures:3 singlet:8 mineral:2 cover:1 qba:1 qbc:1 generalising:1 kz:1 kx:2 physics:4 lying:3 find:20 occupation:1 parameters:13 3j:1 subsection:2 factor:2 circle:1 triangle:4 notation:2 luke:1 secular:1 antiferromagnetic:9 closely:1 competing:1 lattices:2 sects:2 arxiv:1 investigate:1 set:12 achieved:3 marston:3 see:44 individual:4 sec:6 sen:1 contour:1 hanawa:1 ferrimagnet:2 smallest:1 various:4 conditions:6 available:1 recently:1 missing:1 initially:1 attention:1 incommensurate:10 ramasesha:1 vanishing:2 distinguish:1 rudra:1 both:6 last:5 ξmin:10 symplectic:1 context:1 whole:1 finds:5 experimental:2 arbitrarily:3 point:19 simple:2 corresponds:2 dimensional:3 bα:4 bβ:1 throughout:2 complication:1 described:2 transformations:1 duc:1 due:1 strategy:2 reduction:4 asymptotics:1 anisotropic:24 empty:1 lett:6 gat:1 gap:1 determination:4 p2:2 p3:2 p1:4 pacs:1 straight:1 while:7 optimization:2 replaced:3 evaluating:1 2q12:1 couplings:16 vectors:6 jpn:1 3g1:1 reads:3 itself:1 vanish:7 lengthy:2 b52:1 qac:1 qab:1 higher:1 development:3 used:2 b57:1 purpose:1 recent:4 gss:15 shaded:1 biσ:1 obviously:6 signalled:1 distances:2 eigenenergy:1 λc:29 λb:3 λa:84 world:1 useful:2 λi:5 conclusions:1 signals:1 location:2 theorem:4 remaining:4 showing:1 appendices:1 helpful:1 pertinent:1 cu2:1 semi:1 follows:6 separately:3 flux:3 imposes:2 unstable:1 disorder:1 essential:1 spins:51 sketch:1 methods:1 creation:4 some:7 pierre:2 b4:2 understood:1 b6:1 b7:1 examples:2 b2:2 mirror:1 balents:2 b9:3 pronounced:1 gradually:3 describing:1 integration:1 parametrisation:2 trimers:1 eliminate:1 gingras:2 minimal:2 inserting:2 varying:1 bi:8 bj:1 restrictive:2 step:1 chiralities:8 bz:6 berlinsky:1 constraint:5 monoclinic:2 range:15 consequently:2 block:13 into:11 within:4 integral:1 appropriate:1 proportional:1 realisation:1 rows:2 institut:1 conceivably:1 twodimensional:1 question:2 long:13 occupy:4 bosons:1 line:6 collapses:1 consist:1 q21:5 up:9 physikalisch:1 ur:1 gratifying:1 paired:1 q23:1 continuously:2 fluctuations:11 similar:1 prevails:1 associated:2 defined:4 likewise:1 influence:1 inferred:1 single:7 numerators:1 formalism:1 prevail:1 defines:1 tentative:1 amounts:1 dashed:2 multipliers:4 b16:1 application:2 b14:2 b15:1 b12:4 b13:1 b10:3 b11:1 department:1 b18:1 elements:6 calculating:1 develops:2 graphically:1 sides:1 structure:8 implies:7 algorithm:1 required:2 neighbouring:2 presenting:1 requires:4 having:1 magnetically:1 gs:24 results:24 illustrated:1 kato:1 contributions:5 stable:2 include:2 presently:1 g1:2 wave:22 decorating:1 matrices:1 entire:1 propagating:2 eigenvalues:3 enforce:1 configurations:6 disordered:3 sin2:9 fold:1 3q:1 expressed:1 cell:4 consistently:4 3n:2 led:2 chose:1 ibid:1 exchange:16 respectively:8 believed:2 excitations:2 extreme:1 vbc:1 remark:2 technical:2 involved:1 larger:1 suggests:2 products:1 implement:1 hexagon:2 decrease:3 summation:1 apply:1 use:2 remains:10 next:8 classically:1 depicted:4 themselves:1 becomes:6 carrying:1 iii:11 integrating:1 closing:1 drops:1 decoupled:13 weaker:1 calculation:2 tan:1 siz:1 siy:1 six:3 arrangement:1 regions:3 located:1 varies:1 numerous:2 instead:3 sin:5 blocks:3 physik:1 tier:1 fukaya:1 purely:1 light:1 λ2a:3 lines:5 element:1 allow:1 s2:5 2si:1 insight:3 symbols:2 including:1 looks:1 mentioned:2 chemical:5 2λa:3 chosen:2 degrees:1 choose:3 clusters:5 eur:2 greater:2 landau:4 mention:1 rotation:1 february:1 university:3 identified:1 sufficiently:8 magnitude:3 mode:9 soc:1 constraints:7 subset:1 disregarding:1 chung:3 doing:1 there:20 related:1 elementary:3 frequency:7 static:2 measure:2 our:14 transitions:2 special:3 out:4 matrix:7 xσi:6 rev:17 postpone:1 ref:19 integrated:1 math:2 approached:1 interactions:3 diagonal:2 tetrahedra:1 approaches:4 amato:1 interaction:1 waterloo:3 geometry:1 3ky:1 keep:1 length:3 explored:1 isotropic:16 hence:11 retain:1 staggered:1 manuscript:1 reached:1 ordering:9 unknown:1 condensate:19 eˆx:1 system:7 relations:3 their:10 intermediate:1 explanation:1 exactly:1 tacitly:1 distinguishes:1 limiting:2 succinctly:1 amplitude:4 distinguished:1 exhibit:2 symmetries:3 fluctuation:1 sondhi:1 need:3 constrained:1 apparently:1 clearly:3 depict:1 angle:4 εx:2 min:2 able:2 mechanism:1 subject:3 persistence:1 εb:3 heisenberg:11 gα:3 centre:1 connected:1 definitions:1 exponent:2 face:1 aaaaaaaaaaaa:78 graphs:2 χj:1 fact:3 selection:1 characterisation:1 text:2 supported:2 bring:1 trivial:1 agrees:1 q1:141 q3:4 q2:80 knowledge:1 should:1 entities:1 ngs:7 attained:1 baines:1 local:1 hope:1 bonds:11 familiar:1 brillouin:6 words:1 densities:3 course:1 qy:3 qx:6 fixes:2 qa:1 europhys:1 contain:2 fixed:4 view:1 knowing:1 requirement:3 exists:1 correlations:3 argued:1 closes:1 phases:5 pattern:2 state:53 invariant:3 boundary:29 frustrated:4 lg:2 importance:3 key:1 ket:1 problem:5 freely:1 equal:2 fulfilled:1 assure:1 figures:1 otherwise:1 detailed:1 relevant:1 conclude:2 cf:20 respect:8 singlets:4 addition:2 int:1 treat:3 define:1 suggested:2 arises:2 controlled:1 sufficient:1 neighbour:5 angles:4 xµ0:3 hmf:6 present:7 novel:1 appearance:1 value:21 will:26 frustrating:1 refs:3 thus:15 surprisingly:2 surface:1 hubbard:1 unity:6 parts:1 pauli:1 units:1 finite:21 fide:1 conflicting:1 infinity:1 effect:2 emphasised:1 identity:1 off:2 well:4 thought:1 patterns:1 position:3 usual:1 less:3 increasingly:1 obtain:10 predicts:3 macroscopic:1 sindzingre:3 density:7 mathematically:1 lattice:41 optimising:1 identical:4 antiferromagnets:4 dimers:3 increased:2 checking:1 siα:1 increases:10 know:2 canted:10 press:1 immediately:3 semiclassical:5 necessary:1 like:4 28a:1 exploiting:1 28c:1 28b:1 become:3 replacement:2 therein:1 because:1 classical:21 smoothly:2 corroborate:2 q22:20 growth:1 γsj:1 neglecting:1 happens:2 lead:4 overlap:1 does:3 chains:15 slight:1 analysed:1 expansion:16 about:2 actual:2 saddle:11 freedom:1 dependence:2 compatible:2 a2:6 a5:2 upward:5 explicit:4 a4:4 baxter:1 previously:3 bosonic:4 additional:1 transfer:1 spiral:3 quadratic:2 frustration:2 diagonalisation:1 mikeska:1 function:19 sequel:3 triangular:24 but:11 volume:1 repeated:1 convergence:1 made:1 temp:1 whether:8 wish:2 cells:11 flip:1 below:6 limit:35 distribution:4 piece:1 display:2 devise:1 contribute:2 denote:15 mtot:1 qα:8 functions:7 qβ:1 nonetheless:1 other:15 details:3 branch:1 conclusion:3 kinds:1 variation:1 astronomy:1 coupling:18 uncoupled:1 rule:4 4n:1 4j:3
0704.1442.txt |@word limited:1 projected:1 eds:1 controversial:1 disk:23 contributions:1 compact:1 summarises:1 ergs:2 those:2 include:1 indicating:1 applied:1 garden:1 none:1 fabbiano:2 vlt:1 roy:6 10myr:1 large:1 supergiant:1 degeneracy:2 upper:1 l97:1 ritter:2 prediction:1 tef:1 astrophys:4 rate:4 timescales:1 further:2 copperwheat:9 spectral:7 lesser:1 sub:1 sun:1 current:1 axial:1 new:1 thin:1 evolving:1 gathered:1 modify:1 here:1 reported:1 tracks:4 objects:1 ratio:1 along:1 strong:1 mex:1 logarithmic:1 obtained:1 larger:1 appropriately:1 secure:1 scales:1 apr:1 hunstead:1 photometric:7 outcomes:1 limb:1 apply:1 opacities:1 select:1 eddington:4 plot:1 confidence:1 takes:1 usa:1 super:1 objectives:1 predictions:3 tightly:1 few:1 m1:5 m2:5 candidates:1 astr:6 type:9 more:4 degeneracies:1 acceptable:3 line:1 emission:6 m81:1 labelled:1 hole:2 evolves:1 ulx:12 ma:1 science:1 originally:1 work:1 modified:1 mv:2 temperatures:1 zams:3 example:5 reasonably:2 figure:7 predict:2 allowed:1 high:2 tidally:1 magnitudes:1 darkening:1 absolute:2 information:1 rays:3 provide:4 dependent:1 hardness:1 symposium:1 parameter:8 isotropic:1 earlier:1 derived:3 modest:1 plane:3 fits:4 data:11 short:2 natural:1 effective:1 st:2 so:1 unirradiated:1 acknowledges:1 typical:2 wavelengths:1 evolutionary:4 constituents:2 astronomical:1 mainly:1 years:1 produced:1 combinations:1 paper:1 through:2 thesis:1 still:1 its:3 observational:1 x000000000000000x:1 fit:1 interesting:1 masses:5 late:3 systems:4 hidden:1 main:1 cospar:1 lx:1 donors:2 wu1:1 band:1 effects:5 o5v:3 university:2 identified:1 capability:1 filling:1 magnitude:2 l1:1 found:3 entirely:1 underconstrained:1 constraints:5 domain:1 significantly:5 kuncic:2 series:1 hard:1 ec:1 stellarmass:1 6nt:1 measure:1 laboratory:1 special:1 matt:1 dominates:1 shadowing:1 space:6 res:1 rev:1 unknown:1 fellowship:1 investigation:1 dominated:1 issue:1 red:1 shows:2 asp:1 linear:1 galaxies:3 little:1 standard:2 reason:1 phd:1 m51:1 incorporates:1 geometry:1 could:1 days:1 times:1 filter:1 place:2 massive:2 transfer:11 hence:2 onto:5 origin:1 symmetry:1 primary:1 size:1 given:2 temperature:1 introduction:1 leading:1 preference:1 lejeune:2 system:5 roche:9 their:2 intermediate:1 rates:2 observations:6 iau:2 way:1 mostly:1 wavelength:3 accurately:1 optical:11 constituent:1 eliminated:1 than:2 x5:1 distance:1 observatory:1 require:1 roberto:1 grey:1 submitted:3 150m:1 future:1 mullard:1 radius:8 rh5:1 bhs:1 constrained:2 20m:1 any:1 ray:7 depending:1 gravity:1 note:1 phillips:2 fitting:3 superior:1 cropper:4 donor:24 channel:1 even:1 altered:1 centre:1 object:1 most:2 holmbury:1 phase:1 acknowledgements:1 measured:1 bicknell:1 doi:1 especially:1 fills:1 inferred:1 dorking:1 proceedings:1 constrain:2 physics:1 fitted:1 surrey:1 particularly:2 show:1 agreed:1 infrared:8 relation:1 inconsistent:1 keywords:1 find:4 µm:1 based:1 parameters:2 ngc:5 admissable:1 colbert:2 soria:6 only:2 black:4 adequate:1 over:1 do:1 king:2 lobe:8 de:1 international:1 holmberg:1 conjunction:1 secondary:1 evolution:6 g0i:2 luminosity:4 arxiv:1 mon:6 discs:1 predicted:2 contain:1 london:2 view:1 irradiation:6 set:1 lifetimes:2 up:2 intensity:2 college:1 result:1 eliminating:1 luminous:3 nuclear:3 irr:4 currently:1 colours:2 determined:3 across:1 available:6 variability:3 recently:1 nature:4 component:1 however:2 efficiency:1 wu:6 harvard:1 extent:1 modeling:1 improve:1 both:1 cos:7 prescription:1 limits:1 outflows:1 taking:1 according:3 colloquium:1 exceeds:1 nearby:1 timescale:2 point:1 overview:1 whatever:1 wider:1 table:1 conference:1 better:1 wickramasinghe:1 union:1 discrimination:1 been:3 mark:1 much:2 expected:1 ph:1 mary:1 wavebands:1 ages:1 astron:2 c1:1 present:1 case:3 curie:1 solid:1 will:3 while:2 ultra:2 orientation:3 almost:1 characteristics:3 ir:2 non:1 surface:1 ii:1 vs:1 solutions:2 diagnostic:1 orbital:1 binary:5 different:5 degenerate:1 make:2 radiation:1 epoch:1 parts:1 units:1 several:1 higher:1 literature:1 comprehensive:1 counterparts:5 companion:2 driven:2 levels:1 1000m:2 lower:1 ellipsoidal:1 older:2 nevertheless:1 contact:2 model:18 binaries:1 left:4 distances:1 accretion:12 quoted:1 less:3 formulation:1 when:2 imbh:1 isolated:1 sources:3 ulxs:8 adv:1 irradiated:8 add:1 lett:1 input:2 resolved:2 bands:2 possible:4 smithsonian:1 mushotzky:2 ulx1:1 using:4 loss:1 disks:2 admitted:1 ignore:1 flux:2 become:2 soft:1 reduced:2 right:4 truncated:1 some:3 duration:1 vol:1 mid:1 measurements:3 l13:1 provides:1 assuming:3 inclination:3 bh:20 infra:1 stellar:7 pressure:1 hst:2 plots:1 bx:2 handled:1 constraint:3 tracing:1 essential:1 addition:1 range:5 karas:1 johnston:1 contours:1 ferrario:1 1myr:2 soc:6 cambridge:1 presence:1 into:2 signature:1 included:1 appropriate:1 because:2 references:1 determine:2 marie:1 additional:3 podsiadlowski:2 assumed:1 support:1 there:1 describes:1 milne:2 stars:13 ed:1 astrophysics:1 function:3 elsewhere:1 phenomena:1 but:1 astro:1 serie:1 related:1 overflow:3 true:1 schaerer:2 variations:1 un:1 astrophysical:1 uk:1 similar:1 regimes:1 detailed:1 m101:1 certain:1 abstract:1 myr:1 general:2 single:3 our:4 compared:4 no:4 generally:3 application:1 details:1 expositions:1 star:33 superposition:1 models:2 shown:3 variation:1 includes:1 msun:3 important:2 coverage:1 chris:1 opened:1 assume:3 typically:1 age:6 required:1 holes:2 mass:46 time:3
0704.1443.txt |@word represent:1 gu:1 consider:3 leads:1 houches:1 go:1 remarkably:1 4e4:1 environment:3 charge:6 th:1 include:2 applied:2 g1:4 iτ0:1 electron:4 surprise:1 experimentally:1 school:1 level:4 transmission:2 irreducible:1 t2:6 solution:1 t1:6 small:1 upper:1 smaller:1 cosh:1 rate:33 summer:1 odd:1 linear:2 established:1 sprinzak:1 trivial:1 dephasing:35 expressed:1 current:13 fractional:6 increasing:1 contrast:1 edited:1 condensed:1 full:2 ibid:1 les:1 buks:2 ansatz:2 mes:1 address:1 ratio:2 along:1 strong:19 superconductor:1 obtained:1 institute:2 allows:1 studies:1 plotted:3 via:1 scales:1 apr:1 bs:22 highly:1 sgn:1 plot:1 use:1 remains:1 continuous:1 weizmann:1 hanoi:1 negative:1 france:1 depicted:1 ψi:1 therefore:1 taken:1 bethe:2 fractions:2 israel:1 diamond:1 duality:1 rehovot:1 operators:1 symptomatic:1 lesovik:1 varying:1 known:1 eα:1 states:1 account:1 eiω0:1 βd2:1 tunnel:2 science:1 setup:1 work:1 temperatures:4 weaker:1 figure:2 chosen:1 νe:1 performed:1 dxf:5 sharp:1 tan:1 located:1 adjacent:1 gate:1 vf2:2 description:1 may:1 φ2i:1 law:1 physical:1 effective:1 correspond:1 si:2 green:1 correlation:1 order:4 eron:1 aleiner:1 over:1 displayed:1 experiments:1 through:2 linewidth:1 excitations:2 its:2 before:1 derive:1 2e2:1 interesting:1 temporal:1 decreases:5 absence:2 fig:6 into:1 weber:1 zerofrequency:1 non:7 influences:1 dao:1 montambaux:1 1b:1 hall:12 bigger:1 several:3 always:1 hamiltonian:5 filling:6 hqd:1 differential:1 energy:1 kane:2 related:3 conductance:1 frequency:1 quantum:16 ev:11 eq:2 mat:1 shown:3 dominates:1 factors:2 rev:15 eτ0:1 increase:3 europhys:1 formula:3 electronics:1 issue:1 reconciled:1 theory:2 quite:1 approaches:1 e4:2 e0:2 e3:1 interaction:4 chiral:2 geometry:2 creates:1 length:3 consequence:1 first:2 quasiparticle:2 dinh:1 xx:2 directly:2 aharonov:1 given:2 perturbation:1 temperature:8 πd:1 introduction:1 top:1 system:1 1a:1 assumption:1 rates:1 dt2:1 dt1:1 gives:1 guyon:1 keldysh:1 x2:1 than:2 coefficients:1 distance:1 liquid:7 second:1 matter:1 amplitude:1 were:2 peierls:1 qpc:12 crossover:3 seen:1 zero:5 latter:1 physique:1 switch:1 contact:5 note:1 high:1 potential:2 destroy:1 techniques:1 cnrs:1 exactly:1 normal:2 probed:1 but:2 phase:1 luttinger:5 kb:1 considered:2 neighboring:1 metal:1 points:1 electrons:1 levinson:3 physics:3 dot:12 show:1 session:1 d2:5 laughlin:3 entities:1 only:2 explicitly:1 screening:13 factor:5 circle:1 local:1 equilibrium:6 invoke:1 de:1 fluid:2 bear:1 dx:4 dt:4 meir:1 fields:1 arxiv:1 gηη:2 saturates:1 qd:2 analytical:1 fixed:1 kernel:3 set:1 computed:1 exists:1 hβ:5 chamon:2 up:1 elsevier:1 depends:3 result:2 close:1 contour:1 acquires:1 closer:1 wire:1 exponent:2 written:1 between:6 luminy:1 schuster:1 multiplied:1 comparable:1 terms:2 tsui:1 nature:3 weak:14 however:1 suggested:1 both:2 marseille:1 hint:1 ln:1 contribution:6 expression:2 comes:1 nearby:1 yacoby:2 sinh:2 point:5 corresponds:1 hvf:1 described:1 create:1 due:1 been:1 describes:3 corresponding:1 coherence:2 former:1 case:14 value:1 while:3 behavior:1 situation:2 capacitively:2 tunneling:9 loop:1 vf:3 coupled:3 vi:1 thus:1 reads:3 bias:9 cond:1 cong:1 ib:2 different:2 things:1 split:1 schematic:1 units:1 φi:2 finite:3 used:1 effect:3 phy:1 edges:2 conductors:1 infinite:1 lower:3 modes:1 bohm:1 edge:7 position:1 left:2 λs:13 gates:2 proximity:1 identify:1 voltage:6 using:3 metallic:1 modulate:1 density:3 wen:2 lett:9 fendley:2 transformation:1 identical:1 fluctuating:4 possible:1 eorique:1 increases:11 integer:2 saleur:1 insert:2 collective:1 wingreen:1 imposes:1 arbitrary:4 multiplicative:1 because:2 neumann:1 bouchiat:1 transport:3 describing:2 demonstrates:1 centre:1 fluids:1 freed:2 inserting:1 noise:7 ba:1 power:1 martin:2 substitution:1 properties:1 developped:1 anomalous:1 dependence:6 range:1 cutoff:3 fqhe:4 presence:2 h2:1 h3:1 h0:1 backscattering:4 h4:3 included:1 right:2 references:1 operator:1 proportional:2 next:2 bosonic:2 assumed:1 there:2 long:1 conservation:1 low:2 function:5 ht:1 cedex:1 lowered:1 line:4 made:1 compute:1 embedded:1 characteristic:1 maximum:1 us:1 theoretical:1 placed:1 limit:1 fluctuations:7 piece:1 strongly:1 describe:3 general:3 single:1 akkermans:1 controlled:1 regime:4 functions:1 beyond:1 no:1 dashed:2 whereas:1 when:12 electrical:1 branch:1 spatial:3 department:1 deviate:1 conclusion:1 star:1 meaning:1 important:1 variable:1 fisher:2 gets:1 faster:1 coulomb:4 vietnam:1 fact:3 n0:2 decoherence:2
0704.1444.txt |@word limited:1 sci:2 lack:1 dynamic:2 results:5 leads:1 certainly:1 tr:1 those:4 stable:2 case:1 kumar:1 very:2 rise:1 choice:2 figs:1 govern:2 continued:1 deformations:1 entire:1 europhys:1 shock:1 holian:1 cma:1 damped:1 large:2 discrete:1 science:1 loads:1 configurations:1 favoured:1 prevent:1 zn:3 smaller:1 force:1 periodicity:3 past:1 imply:1 profiles:1 further:2 dynamics:3 blue:3 trapping:2 deliberate:1 giving:1 axes:1 bergman:1 cell:5 above:1 new:2 method:2 led:1 atoms:19 behaviour:4 reported:1 elser:2 represented:1 path:2 along:3 strong:1 extreme:4 osch:11 study:2 allows:1 amount:1 periodic:3 published:1 symmetrical:1 laves:17 emerge:1 useful:1 scales:1 apr:1 visible:2 total:1 schilling:1 unit:7 use:2 takes:1 would:3 distinct:1 zig:1 therefore:1 lennard:3 type:5 prolate:2 upcoming:1 becomes:2 under:2 rigid:2 cases:3 mag:3 high:2 mg:1 balls:1 middle:7 deformed:1 local:2 remain:1 following:1 trans:1 initial:1 compare:1 figure:4 stacking:1 sample:2 indicates:1 minimum:1 performed:1 sharp:1 axis:3 influenced:1 eng:1 rather:2 discussion:1 feature:1 arrangement:2 how:1 criterion:1 oblate:1 influences:1 elliptical:1 instead:1 mat:2 after:1 different:2 reflect:1 applications:1 plane:7 physik:1 waves:1 response:1 forschungsgemeinschaft:1 effective:2 lines:2 deutsche:1 green:1 fundamental:3 subsequently:1 divided:1 typical:1 insight:1 displayed:3 soc:2 characteristic:1 experiments:1 effect1:1 mentioned:1 brittle:4 its:1 perfect:1 icosahedral:7 located:5 energies:2 interesting:2 vicinity:1 forms:1 parts:1 systems:3 clusters:19 main:1 might:1 deformation:1 material:3 number:1 scaling:1 effects:2 they:3 front:2 now:1 structural:3 term:1 stabilize:1 alternately:1 realistic:1 mode:1 inherent:1 universit:2 side:1 financial:1 energy:7 ercolessi:2 displacement:2 used:4 fewer:2 our:5 special:1 shown:4 res:1 rev:4 conclusions:2 denoted:1 squares:1 red:3 linear:1 barrier:1 interactions:3 perfectly:1 million:2 mechanisms:2 quite:1 complicated:1 generate:1 shortest:1 r0:1 route:1 keep:1 motion:2 ahler:2 length:2 atomically:1 freiburg:1 first:2 already:2 rana:1 features:1 upper:2 zag:1 coding:3 reflected:1 theoretische:1 defects:1 another:1 heights:1 size:1 differ:1 necessarily:1 temperature:6 indicate:2 introduction:2 top:1 system:1 approximately:1 parallel:1 nial:1 their:2 observations:1 molecular:3 structures:4 relationship:1 simulate:2 chisholm:2 than:2 distance:1 kind:2 cracks:4 third:1 penrose:1 sections:2 grey:1 modelled:1 matter:1 determined:2 were:1 geometrically:1 peierls:1 rainer:1 acknowledged:1 mater:1 seed:4 qualitatively:1 seen:1 hsieh:1 unaffected:1 any:2 viewed:3 strength:1 built:1 zero:1 latter:1 responsible:1 downwards:1 metallic:3 potential:3 fracture:32 online:5 so:1 adjusting:1 even:3 play:2 though:1 germany:3 significant:2 pair:1 inserted:1 observation:1 average:1 phil:3 reflections:1 abraham:3 physics:1 quasicrystal:20 show:1 text:1 probe:1 terminate:1 rough:3 symmetric:1 should:2 entities:2 only:5 black:1 thousands:1 do:2 slows:1 mainly:1 overall:3 cannot:1 propagated:3 thomson:2 reveal:2 processes:1 arxiv:1 consisting:1 twice:1 paper:2 predicted:1 contain:1 cleavage:8 inside:1 view:3 reveals:1 set:1 ser:1 schaaf:2 smooth:1 observed:3 see:12 sec:1 result:1 close:1 techniques:1 surfaces:16 phases:1 plasticity:1 compounds:3 away:1 currently:1 consequence:1 propagates:1 materials:1 atomistic:2 halves:1 outside:1 future:1 between:3 tens:1 drawn:1 boundary:1 conditions:1 available:1 comparable:4 recently:1 nature:1 emitted:1 however:3 gratefully:1 concentrate:1 intermetallic:1 probing:1 group:1 both:1 essentially:1 region:1 infinitely:1 according:1 contract:1 henley:2 propagation:5 und:2 load:2 strongly:2 adjusted:2 ch:2 point:3 simple:4 corresponds:1 height:3 dimensional:3 distinguish:1 loaded:1 dislocation:2 second:1 three:3 been:3 basic:3 expected:1 fig:8 direction:6 corresponding:1 sufficient:1 observe:1 present:2 applied:2 reliable:1 value:1 will:3 near:2 diverse:1 planar:2 orientation:1 played:1 von:1 thus:4 surface:4 equal:1 helped:1 cluster:6 decoration:1 arrangements:2 cond:1 ambient:1 aspects:2 binary:2 containing:1 twofold:5 stuttgart:2 perform:2 l59:1 radiation:1 same:2 complex:4 units:6 figures:2 investigated:2 cubic:2 numerical:1 hand:1 potentials:11 hans:1 frequently:1 lower:3 acknowledgement:1 studies:1 colour:4 well:2 obviously:1 without:2 simulated:1 model:26 left:9 proposed:1 diameter:3 being:1 tip:1 obtain:1 assigned:1 atomic:6 griffith:3 enlighten:2 move:1 cut:3 monitored:1 density:1 regarded:1 lattice:3 other:1 combine:1 lett:1 samples:2 crack:26 coded:1 matched:1 c15:12 angewandte:1 trebin:6 increased:1 depends:2 advances:1 possible:2 philos:1 five:2 roughness:5 intersection:1 adams:2 melting:2 like:3 sizes:1 qualitative:2 specific:3 roth:6 become:2 because:1 often:4 sequence:2 creation:2 b2:1 peter:1 scale:4 dimensions:1 lead:2 bottom:1 fivefold:3 does:1 propagating:2 proc:1 strained:1 perpendicular:5 symp:1 although:3 properties:3 about:6 actual:1 simulation:2 propagate:1 slightly:1 outlook:1 overloads:1 into:1 down:1 phase:16 right:8 references:1 determine:3 binding:1 diameters:1 rows:2 institut:3 elastic:1 fluctuate:1 support:1 there:2 lond:1 appl:1 low:6 way:1 resulted:1 was:2 lowest:1 building:5 alloys:3 fraunhofer:1 relaxed:1 but:3 failure:1 pfaffenwaldring:1 atom:1 especially:1 embedded:1 mtrl:1 cells:1 variations:1 up:3 quantitatively:1 ur:3 planes:4 intersects:2 similar:3 expect:1 detailed:1 constant:3 int:1 certain:1 abstract:1 influence:2 brittleness:1 general:1 scanned:1 exist:1 simulations:8 uniaxially:1 tiling:1 physical:4 again:1 compared:1 nm:1 no:4 whereas:4 when:3 field:2 interested:1 role:4 details:2 karlsruhe:2 conclusion:1 picture:1 apparent:1 zhou:1 models:1 setting:1 cleaved:1 a2:1 structure:11 upwards:1 jones:3 together:1 image:1 time:2 requires:1
0704.1445.txt |@word halve:1 consider:4 gq:1 qian:2 caused:3 magnetic:1 dynamic:1 results:17 existing:1 leads:3 consists:1 only:11 eggert:1 localized:2 αk:3 increase:2 depend:1 calculate:1 finally:1 dz2:1 those:2 th:1 stable:2 analogous:1 eβ:2 up1:3 case:10 kπ:1 g3:1 presently:1 far:1 rise:1 springer:1 wave:7 electron:48 ultraviolet:2 figs:2 affect:2 eikf:1 exact:15 excited:1 conserved:1 farrer:1 four:3 retaining:1 hamiltonian:19 turns:1 notes:1 solution:4 integrated:1 vector:1 demonstrated:1 science:4 relation:3 αk2:2 zn:3 unexpected:3 metzner:1 foundation:2 consistent:1 direct:2 cosh:8 crook:1 second:3 surface:5 substituting:1 qualitatively:1 odd:1 substitute:1 theory:12 spectral:1 established:1 ashok:1 stands:2 giving:1 section:5 while:1 expressed:2 attractive:1 above:7 values:2 originate:1 method:3 filled:1 xoi:1 coefficient:1 edited:1 full:2 led:1 ranged:2 respectively:4 component:7 equals:13 b2q:2 agreement:2 following:3 2kf:24 objects:1 sinh:1 situation:1 represented:1 slater:4 sine:1 respect:1 appears:4 change:3 box:3 great:1 manninen:1 ngb:1 institute:1 study:2 studied:1 allows:4 completely:1 commonly:1 starykh:1 fabrizio:1 periodic:4 suggestion:1 1n:2 principally:1 fourier:21 studies:1 bq:11 halperin:3 via:4 vp1:4 extra:1 apr:1 semiconductors:1 explained:1 plenum:1 highly:1 fake:1 total:1 sch:1 denotes:1 predicted:1 conventional:1 charge:5 takes:2 propose:1 commun:1 remains:1 positive:3 h0:3 ψq:8 negative:1 next:1 occupying:1 vol:1 therefore:1 ki2:1 themselves:1 type:2 theoretical:2 reflects:1 more:1 introducing:3 ap2:1 becomes:1 under:1 corrected:3 about:1 appendix:2 everywhere:1 labelled:1 varying:1 known:4 cases:1 hold:1 iii:3 fermionic:1 high:3 account:2 lilly:1 vq:1 deformed:5 recall:1 mn:1 theories:2 ρq:2 obvious:1 thin:1 fln:1 believed:1 ferry:1 modifies:1 arrive:1 compare:2 φαi:1 wang:2 give:2 calculation:4 expanding:1 choice:1 khodas:1 states:14 dxn:2 assumptions:3 performed:2 coincident:1 sense:1 uncompensated:1 attract:1 occur:1 inherent:1 requirements:1 goal:1 provide:2 describes:2 holds:1 feature:1 orthogonality:1 conserve:1 regions:1 very:2 methodology:1 pair:2 picciotto:1 instead:1 parameter:6 sin:7 oscillatory:1 honda:1 mat:2 grioni:1 algebra:1 may:1 ladder:1 singularities:1 dx2:2 dx1:2 consequence:2 deviates:1 waves:1 law:1 response:2 changes:1 short:5 liquid:15 computations:1 attracts:1 departure:1 element:3 brandeis:1 extrapolation:1 so:5 allow:1 correlation:1 representation:3 order:3 se:1 origin:3 wigner:20 words:2 βk2:4 indeed:2 over:7 dy:2 vary:1 choose:1 schneider:1 paper:1 through:2 y1:4 satisfies:2 excitations:2 its:4 diagonalized:2 rapidly:1 decay:1 chosen:1 solving:1 vicinity:1 boson:1 actually:1 destroyed:1 absence:2 microscopic:1 harmonics:7 lq:1 derivative:1 main:2 deformation:6 arguments:1 non:8 h1:3 affected:1 university:1 yn:4 ya:1 integral:2 tarucha:2 fig:19 introduce:3 reflected:1 reno:1 band:1 repulsive:1 effects:3 they:7 half:1 determinants:2 singularity:11 now:3 eigenvalue:1 term:7 finite:8 2q:1 kamenev:1 neutrality:1 fully:1 e2ξ:2 presented:4 orthonormal:1 realistic:1 2f:4 magnitude:3 l2:3 positions:3 2l:9 found:3 referred:1 successful:1 el:1 differential:1 ei:2 weight:1 mesoscopic:2 energy:16 kane:1 displacement:1 related:2 manifests:1 bosonization:16 conductance:2 decays:1 ex:1 combining:1 quantum:12 our:5 beyond:1 eq:16 ep:1 out:2 prance:1 shown:3 matrix:14 rs:1 electronic:1 rep:2 since:8 rev:16 adhere:1 particles:5 eiq:1 rf:1 dxdy:5 formula:1 electronics:1 ausler:1 correct:4 shows:4 commutation:1 meden:1 linear:4 derived:1 contain:1 diagonal:3 free:4 standard:3 reason:2 perturbation:1 formation:2 york:2 nice:1 stone:1 estimate:1 beginning:1 e2:3 interaction:41 pustilnik:1 chiral:1 agree:1 transition:4 ordering:10 length:9 period:1 voit:2 friedel:1 nonuniversality:1 hence:5 retain:2 support:1 first:3 xj:1 xk:4 xi:3 xn:10 features:8 striking:1 number:18 austing:1 approximate:1 fiete:2 smaller:1 2a2:1 impossible:1 ring:2 open:2 size:1 kouwenhoven:1 passes:1 given:2 fk:4 checked:1 district:1 similarly:1 introduction:1 1x:1 eqs:5 iaf:1 system:25 their:1 quadratic:2 brevity:1 1d:24 statement:1 convention:1 πx:3 recent:1 structures:2 exponents:2 2πvf:2 observations:1 shifted:1 numbered:3 calculations:4 πvf:2 academy:2 moscow:1 exactly:1 task:1 assumption:1 part:3 x2:11 eliminated:1 x1:16 sea:2 than:2 coefficients:2 distance:4 level:1 perfectly:1 unfortunately:1 mahan:1 zero:18 modelled:1 smoothed:2 project:1 matter:1 appealing:1 determined:3 contrary:1 str:1 were:2 gives:5 russia:1 lowest:1 enhanced:2 fluctuation:2 spectrum:13 curves:1 compression:1 close:4 seen:3 confirms:1 occupied:2 orders:1 strength:3 built:3 depending:1 convenient:1 latter:2 responsible:1 able:1 isolated:1 rokhinson:1 violates:2 note:1 sciences:2 ideal:2 potential:5 generalized:1 simplified:1 finding:1 green:6 coincide:2 circles:2 even:4 towards:1 unless:1 prescribes:1 trace:1 cutoffs:2 any:1 molecule:1 rpa:1 most:1 mace:1 fαi:2 phase:8 analytically:1 interacting:9 4l2:1 kf:22 considered:3 average:3 stronger:1 km:1 fluctuations:1 electrons:35 exp:4 tp1:1 maxima:1 physics:1 dot:3 laws:1 precise:1 thomas:2 bosonized:2 show:2 violation:6 supported:1 discovered:1 ki:2 2g:1 radio:1 fermions:1 threshold:4 interpretation:1 αk1:3 tend:1 find:5 ground:2 berggren:1 ock:1 based:4 just:2 parameters:3 notice:1 situations:1 explain:1 should:4 ed:1 quasiparticles:1 going:1 positively:1 factor:1 employed:1 local:1 do:4 δxk:1 get:1 dependent:1 familiar:1 express:2 nanostructures:1 remedy:1 dz:1 dx:5 invariant:1 during:1 bird:1 justified:2 dq:2 mattis:1 densities:1 qv:2 nicely:1 conditions:11 arxiv:1 βl:1 ministry:1 acknowledgments:1 investigate:1 common:4 forces:1 analytical:1 including:1 fixed:3 ql:2 ψαj:2 vlj:1 requirement:1 set:1 pfeiffer:4 exists:1 clarified:1 γp1:3 frame:1 correlations:7 comparable:1 around:1 ψαi:5 see:2 ψαk:1 radius:6 result:6 ψαn:2 fail:1 contains:5 limiting:2 kinetic:2 acquires:1 appear:1 fails:2 wire:3 eigenfunctions:1 mentioned:1 distinctive:1 materials:1 boundaries:10 state:17 eur:1 correctly:4 between:2 αi:7 progress:1 boundary:13 αj:5 approach:9 αl:2 αn:10 ends:2 terms:9 amplitude:3 positron:2 missing:2 overestimates:2 attention:1 weak:2 however:4 vanishing:2 ikf:1 demonstrate:2 suppressed:1 distribution:38 both:1 essentially:1 improved:1 eia:1 f2k:4 many:12 taking:2 infinitely:1 according:11 against:2 quantization:1 2e2:1 quite:2 contribution:2 argue:1 expression:4 baltimore:1 otherwise:3 ck:6 among:1 fields:2 point:1 simple:3 effective:1 loan:1 each:1 corresponds:4 ce:1 except:4 dimensional:3 alone:1 confirmed:1 ordered:1 cq:4 lect:1 strong:4 described:1 basis:3 west:4 af:1 due:2 been:1 gnew:1 reduction:1 cosine:2 z2:3 interest:1 basic:1 johannesson:1 anomaly:1 empty:1 systems:12 dots:4 obtained:4 determinant:2 arises:1 corresponding:1 kronig:1 nikov:1 sufficient:2 cos:13 new:4 locations:1 bulk:1 external:1 x2i:1 spin:1 present:1 p2:23 k2:6 eis:1 p1:18 solid:3 expanded:1 engineering:1 value:10 squeezes:1 will:3 near:6 steinberg:2 behavior:4 error:1 squeezed:2 ensuing:1 property:3 region:2 exclude:1 identical:4 vc:3 vd:3 vf:6 almost:1 vi:1 ir:1 thus:5 them:1 discrepancy:1 iv:3 ii:4 characterize:1 schulz:1 itself:1 cond:2 vanish:2 fermion:4 different:2 φp:5 capture:2 containing:1 education:1 research:1 suggest:1 cross:3 clearly:1 unity:1 parts:1 emphasize:1 incorrectly:1 dimensionless:2 several:1 grows:1 schollw:1 independent:1 used:1 infinity:1 numerical:1 effect:1 devoid:1 vαi:2 liquids:1 purpose:1 infinite:4 changing:1 mattsson:1 identity:1 destruction:1 cdw:4 lower:1 narrow:1 off:2 center:4 programs:1 whole:1 well:5 onhammer:1 bohr:1 de:1 without:1 solve:1 components:1 dashed:1 model:19 charged:1 maslov:2 proposed:3 yacoby:2 being:7 superconductors:1 obtain:7 transforms:1 ritchie:2 facts:1 momenta:1 baldwin:3 bogoliubov:1 multiples:3 previous:1 cut:2 density:62 haldane:3 conclude:1 smith:1 k1:7 improvement:1 wavevector:2 belongs:1 transformed:1 location:1 theorem:1 diagonalization:10 iπ:1 guarantees:1 transformation:1 momentum:23 real:2 saturation:1 spinless:1 increased:1 2ml2:1 breaks:1 decomposed:1 possible:1 harmonic:3 increases:1 simmons:2 makes:1 background:4 press:2 using:12 2nd:1 nicholls:1 advanced:1 mod:1 translationally:1 like:8 particle:29 follows:1 reduces:2 lett:5 δq:3 specific:2 steps:1 δp1:1 θpq:2 works:1 qualitative:1 permittivity:1 because:6 methods:1 deal:2 a14:1 some:1 calculated:13 shortcoming:2 scatters:1 moreover:1 oscillations:2 manifest:1 neglecting:1 transport:1 provided:1 scale:2 lead:1 contacts:1 broad:1 condens:1 integration:1 overlap:1 contrast:1 stauber:1 a6:1 does:7 disappears:1 prog:2 three:1 restoring:1 pepper:2 power:2 reaching:1 reach:1 wavefunctions:2 use:1 expansion:3 interval:1 step:6 pq:1 shifting:1 πan:1 2m:1 properties:4 comparison:4 limitation:1 inter:2 carried:1 extension:1 hopkins:1 introduces:1 dependence:1 o:5 dzn:1 ψr:3 range:4 a2:8 obeys:1 act:1 a5:1 mean:2 a4:2 lieb:1 cutoff:3 conserving:1 computational:1 suppression:1 presence:2 johns:1 into:8 within:4 numerically:1 predictions:1 down:2 lies:2 appropriate:1 right:1 fisher:1 operator:29 proportional:1 glazman:2 bosonic:6 luttinger:20 van:1 additional:7 assumed:2 strictly:1 there:5 auslaender:2 transform:12 long:3 dispersion:1 width:1 conservation:10 bosons:4 low:2 way:2 labelling:1 analyze:1 was:5 reimann:1 function:36 medium:1 singleparticle:2 form:16 energies:1 a9:1 but:4 applicable:1 russian:4 line:3 squeeze:1 treats:1 absent:3 made:2 iqx:3 whether:1 characteristic:1 smooth:1 tserkovnyak:3 us:6 gindikin:2 work:1 crystal:12 below:2 fermi:12 spectroscopy:1 2πy:1 2πx:7 problem:7 called:2 eigenvector:1 strongly:5 ab:3 proved:2 pin:1 ln:1 defined:2 universal:3 describe:5 metals:1 ap:2 single:10 proves:2 exist:2 vn:1 relates:1 formalism:1 simplest:1 physical:1 incorrect:3 functions:5 no:2 d2q:1 yasha:1 wavefunction:3 when:3 detail:1 arctan:2 field:4 other:2 role:1 details:1 branch:1 spatial:7 golub:1 conclusion:3 picture:1 elements:7 a11:1 a10:2 a13:1 a12:1 4i:1 problems:2 gogolin:1 includes:1 a1:2 a3:1 important:2 bounded:6 peak:2 a7:1 4g:3 linearization:2 a8:1 gets:3 structure:1 correlated:4 coulomb:1 hp1:1 confirm:1 curve:2 investigated:1 fact:2 time:2 observables:4 n2:1 having:1 once:1
0704.1446.txt |@word consider:1 bull:2 four:1 ge:3 proposition:34 consists:2 synthetic:13 whose:2 inverse:1 mutatis:1 γi:4 present:3 mutandis:1 td:2 alternating:1 very:1 rise:1 corollary:4 lecture:2 emphasized:1 difference:3 exact:1 categories:2 internally:1 level:1 t2:14 t0:1 t1:14 large:1 pbd:1 commute:3 pbo:1 enjoy:1 neighborhood:1 sign:1 second:6 zw:1 yd2:1 canonical:1 what:1 invertible:1 section:1 d3:114 version:1 above:4 new:1 journal:2 respectively:2 following:6 simon:1 tangent:3 groups:2 strong:3 cubical:1 deduced:1 stevin:1 institute:1 involved:1 study:1 studied:1 experience:1 leaving:1 moerdijk:2 permutation:1 usually:1 pxy:5 projection:1 apr:1 merely:1 highly:1 establish:1 use:1 takes:1 distinct:1 bundles:2 depicted:1 call:1 therefore:4 totality:7 helps:1 curvature:7 particular:3 known:1 springer:1 work:1 axiom:1 infinitesimal:3 values:5 concepts:2 canonically:2 making:1 example:2 proof:20 figure:3 stated:1 cube:4 numbers:1 γdi:1 simple:1 firmly:1 rather:2 six:1 write:7 how:1 adjacent:1 familiar:3 reyes:2 verlag:1 algebroids:1 map:1 intended:1 γd2:2 algebra:4 variant:1 mapping:5 applications:1 revealed:1 so:4 fundamental:2 order:1 restriction:1 indeed:1 over:11 paper:6 london:2 same:9 mentioned:1 japan:1 its:7 group:5 coordinates:1 forms:5 bijection:1 pco:1 pcf:1 pce:5 good:3 pure:1 bisections:2 introduce:1 framework:2 now:8 easily:1 february:1 always:1 university:3 presented:1 identified:2 token:4 arrow:1 each:2 traces:1 referred:3 homogeneous:1 differential:20 series:2 society:2 mackenzie:2 ex:1 our:11 operation:1 out:1 shown:1 space:5 rounding:1 furthermore:1 since:2 denotes:3 combinatorial:5 groupoids:12 geom:1 reader:4 denoted:1 got:1 squares:1 suffices:2 correct:1 math:4 theory:2 standard:3 pleasant:1 completely:1 base:1 york:1 e1:3 retrieves:1 e2:5 definition:1 geometry:14 place:1 onto:1 think:1 first:3 pgd:8 pge:1 reveals:1 feel:1 done:1 another:2 given:14 reference:3 similarly:2 introduction:1 top:1 relations:1 their:1 attack:1 manifolds:2 calculations:1 speaking:1 gives:1 commutativity:1 wisdom:1 somewhat:1 off:2 believe:1 than:3 target:1 sections:1 contrary:1 were:3 enables:1 vector:6 generalization:1 seen:3 anx:5 any:42 lie:6 mappings:4 εt:4 degenerates:1 ideas:1 note:6 sciences:1 build:1 play:1 unless:1 shall:3 who:1 most:1 eight:2 preliminary:1 pair:2 dordrecht:1 clear:1 later:1 vertices:3 bracket:1 synthetically:1 dbi:2 show:1 groupoid:3 chapters:1 spaces:2 xd1:1 d2:181 find:1 d1:192 aω:4 should:1 entities:1 only:1 preliminaries:1 dn:20 do:1 his:1 dj:2 notation:1 di:8 dg:2 report:1 fields:1 arxiv:2 lawvere:1 fixed:2 kernel:1 set:3 exists:5 module:2 see:9 projections:1 terms:1 theoretic:1 encouraged:1 satisfying:1 deducing:1 identification:2 permutes:1 hopefully:1 geometric:1 recently:1 tensorial:1 nature:4 confusion:1 however:1 both:1 nishimura:8 last:1 desired:2 freely:1 connection:6 figures:2 context:2 pdg:9 passing:1 pda:9 ibaraki:1 cn:3 point:2 appeared:1 belg:1 cf:6 γ0i:1 respect:3 throughout:2 pob:2 poc:2 poa:12 pp:1 ag:23 union:1 py:3 three:2 idα:3 bianchi:11 pf:1 basic:1 expected:2 morphisms:1 define:11 multiplicatively:1 rgf:3 noncommutative:1 1d1:1 c2:1 general:3 unnecessarily:1 applied:1 γd1:10 will:6 while:2 vectors:2 endowed:2 thus:1 ready:1 id:4 elevated:1 pad:10 pae:4 composition:1 pao:11 kock:10 identity:16 shortly:1 well:1 roughly:1 analysis:1 coboundary:1 without:1 usual:2 pbf:1 being:1 topos:2 rest:2 identify:1 previous:3 kluwer:1 nilpotent:1 exclusively:1 source:1 treatment:2 easy:7 theorem:8 east:1 adi:1 real:1 aspects:1 possible:1 facial:1 press:2 unique:5 dare:1 formal:1 naturally:2 ad1:3 follows:3 arbitrary:1 mathematical:3 because:1 often:1 classical:4 sequence:1 some:1 begin:1 deduce:1 diff:1 td2:3 td1:5 happens:1 provided:6 tsukuba:2 though:3 peg:2 pea:3 pec:4 bd:3 object:1 equivalent:1 additively:1 γad:1 viewpoints:1 properties:2 pw:1 idx:1 cahiers:1 o:47 ido:2 carries:1 morphism:4 soc:2 cambridge:4 sd1:1 inclusion:1 into:1 within:3 references:1 operator:1 deal:3 combinatorics:1 assumed:1 there:6 way:1 austral:1 rcf:3 was:2 happy:1 function:1 form:4 but:2 back:1 injection:1 he:1 smooth:2 up:1 us:6 accustomed:1 grasp:1 problem:1 more:1 similar:1 simplicial:1 γe1:1 infinitesimals:1 defined:3 ah:2 abstract:3 denote:6 dθ:2 ax:2 again:1 no:1 points:2 role:1 mathematics:3 conclusion:1 completes:4 models:1 symbol:1 bundle:6 a1:5 meaning:1 a2:27 γei:4 longer:1 2d2:1 notion:2 rxy:1 lift:1 time:1 far:1 once:2
0704.1447.txt |@word sector:2 partial:3 gr:21 represent:1 lagrangian:3 lack:1 focus:7 bc:4 inherit:1 four:3 scalar:9 generalize:2 controversial:1 edu:1 consists:5 perturbations:2 3a1:1 research:2 hojman:3 consider:14 whose:4 duction:1 acts:1 simplify:1 charge:1 ajk:1 excluded:2 under:36 lore:1 analogous:1 must:6 indicating:1 hill:1 applied:3 string:1 ηm:2 very:4 rise:2 conditions:3 wave:2 bjorken:1 pn:1 additional:3 fall:1 experimentally:1 nieto:1 matrices:1 categories:2 entire:1 pm:2 evaded:1 internally:1 riemann:9 hamiltonian:13 irreducible:2 weinberg:1 ryan:2 hereafter:1 large:3 discrete:1 vector:8 δz:2 gρµ:1 δsg:1 indices:5 gauge:16 drop:1 noted:1 solutions:2 work:1 force:2 version:1 b29:1 10b:2 10c:2 consistent:8 10a:1 coefficient:1 measurable:2 unpolarized:3 d6:1 zero:3 4momentum:1 substituting:3 further:3 2aλ:2 substitute:3 linear:7 even:1 what:1 appear:3 tetrad:20 mψψ:2 diag:1 section:5 worldline:5 geodetic:1 expressed:1 find:11 current:1 axial:6 experiment:3 above:6 kleinert:3 new:7 falling:1 d50:1 inertial:1 gyroscope:6 body:1 aρ:1 full:11 gravitation:1 degree:4 kij:6 equals:9 here:10 bi:1 desired:2 possibility:4 alone:2 along:7 equations:24 appears:1 change:4 obtained:6 convert:1 antisymmetric:22 2aρ:1 study:2 studied:2 gld:1 guide:3 suggests:1 amount:2 resulting:1 usually:1 tλµν:2 suitable:2 spacetime:16 der:2 shepley:1 uniquely:5 examining:1 via:1 useful:2 diffeomorphisms:2 extra:5 namely:1 systems:1 highly:1 brought:1 linearization:1 obukhov:2 frame:3 apply:3 rosenthal:1 during:1 analyses:1 linearly:2 disagreement:1 derivatives:1 conventional:1 d71:1 takes:1 would:10 remains:2 contains:2 6b:4 predictions:6 nonsymmetric:2 next:6 calculation:2 nucl:1 3b:4 therefore:16 relativistic:1 taken:1 conservation:1 type:4 theoretical:1 possible:1 more:3 flat:6 duality:1 clearly:1 organized:1 dxµ:1 equipped:1 constructs:1 curvature:2 knm:1 carroll:1 tegmark:2 primes:1 correspondingly:3 gλν:1 virtue:4 particular:11 known:2 cases:4 aligned:1 iii:3 fermionic:1 couples:3 keeping:1 include:1 integrating:3 aµν:46 equation:11 averaged:1 accumulated:1 theories:42 reviews:2 remain:1 values:3 columns:1 aαβ:1 universe:1 following:4 merely:1 specialized:2 example:5 something:1 ss:3 curves:2 give:1 predict:11 expanding:1 sense:1 table:5 generically:2 pieces:4 involve:2 indicates:1 lorentz:10 tetrads:5 cartan:4 arise:2 analysis:5 keep:1 simple:1 needs:3 requirements:6 rather:2 s2:4 discussion:2 means:14 ǫijk:1 orthogonality:2 regions:1 far:2 andrade:1 pure:2 instead:2 parameter:21 mueller:2 product:1 rept:2 vanzo:1 may:7 suppose:6 earlier:2 derived:1 demanding:1 consequence:1 levi:9 url:1 b6:1 summarize:1 choice:2 data:7 parallel:2 mao:7 times:1 stress:1 short:1 natural:1 dynamical:16 third:2 negligibly:1 grant:1 explicit:1 correspond:3 parameterized:2 neglect:1 interpolates:1 greek:1 2d:1 so:19 a5:2 fundamental:3 verify:1 sc:8 definitions:3 sa:12 d62:1 sg:10 order:9 gµν:11 sd:2 1d:1 integrated:1 least:2 interpretation:2 tµν:3 produces:1 developed:1 over:3 move:2 constrained:1 satisfied:1 interpreted:5 gauged:1 paper:10 including:3 motions:2 hµν:25 mentioned:3 existence:4 kinetic:2 its:8 before:3 nieuwenhuizen:2 recalling:1 derive:4 longitudinal:2 sν:1 how:1 chosen:4 interesting:2 sα:1 relativity:10 coordinates:4 imply:1 forms:3 argued:1 strange:1 degrees:15 condition:3 ηn:1 total:1 derivative:7 freely:1 might:1 setting:2 mn:1 non:9 good:2 affected:1 thereby:4 subsection:1 damour:1 runs:1 introduce:2 functional:1 break:1 framework:4 a0i:1 they:10 identically:3 1b:5 now:25 gλµ:2 unpredictability:2 articles:1 february:1 finite:1 indeed:1 carrying:1 rendering:1 angle:4 university:1 dsµ:1 by2:1 possibilities:1 follow:1 2a:1 reasonable:1 system1:1 instability:1 difficult:1 side:5 characterized:2 prevailing:1 spinor:1 domain:12 differential:3 ei:1 reference:1 energy:4 ea:1 idea:2 related:6 eb:1 elementary:2 used:1 static:1 expect:2 contorsion:2 measure:1 quantum:1 laboratory:1 ghosts:18 avoided:3 eq:25 special:3 out:9 category:1 travels:2 shown:2 reducing:1 matrix:1 space:22 types:1 conjugate:2 ha:7 since:13 squared:1 viability:1 denotes:10 particles:2 re:2 mediated:1 d21:3 rel:6 constants:2 induced:1 ref:2 viable:1 announced:1 shows:2 smatter:6 theory:117 8b:4 8a:4 divergence:5 free:7 standard:13 small:3 completely:3 york:3 eigenvalues:2 ask:1 region:3 remainder:1 generate:4 defining:2 definition:8 unique:1 d18:1 iγ:1 r2:1 r3:1 rule:1 could:6 impose:3 phy:1 linearized:25 motion:15 11a:4 signature:2 hence:3 adjoint:1 first:12 there:22 symmetry:22 shapiro:2 variables:12 geodesic:4 rank:3 spinning:4 temporarily:1 construct:2 another:2 4d2:2 results:3 angular:7 πb:5 given:17 perturbation:3 checked:1 rewritten:1 aρσ:2 πe:4 introduction:4 leading:2 eqs:11 arcos:1 system:1 gpb:18 1a:4 their:2 1c:1 assumption:1 draft:1 fermions:3 kµ:2 convention:2 scheme:1 final:2 gives:9 rest:1 tool:1 observable:1 zeroth:1 part:4 signaling:1 hρ:1 domains:7 than:2 specify:2 cheng:1 18b:4 distance:1 18a:1 sectors:2 showed:1 accordance:1 was:3 require:2 measured:3 eaλ:4 matter:51 determined:8 were:1 sec:10 entries:1 wiley:1 decompose:1 perturbative:1 motivation:1 chern:1 symmetries:22 rewrite:1 electrodynamics:2 pol:1 argument:5 generalization:3 randomly:2 say:1 mcgraw:1 gνµ:1 close:1 seen:4 seem:1 null:2 kerlick:1 any:6 acceleration:1 extremal:11 gρν:4 place:1 newtonian:1 depending:5 self:1 responsible:1 able:1 gravity:19 cognola:1 oriented:2 ideal:1 potential:7 square:1 take:2 forces:1 schematically:1 negligible:8 coincide:4 canonical:1 explanation:1 b3:2 unless:1 allow:4 shall:2 sαβ:2 δeb:1 object:2 reach:1 philosophy:1 subscript:1 algebraic:1 involving:4 sponsored:1 printed:1 significant:1 formulae:2 retaining:1 intrinsic:6 class:7 inconsistency:4 xµ:2 deviations:2 scientific:1 constructed:2 failure:1 considered:3 later:2 mod:4 shirafuji:22 barred:2 points:1 principle:7 similarly:1 subsequent:1 quadratic:4 constrain:5 left:1 normally:6 away:1 fact:4 quantity:4 precise:5 contracted:1 show:15 violation:1 text:1 probe:12 implying:1 relation:4 inconsistent:6 tµ:1 civita:9 earth:5 d4:10 d2:40 d3:37 d0:5 d1:17 q1:2 finally:5 sourced:1 parameters:10 representation:1 nitsch:4 state:1 alternative:2 should:5 only:29 explicitly:2 geodesics:5 hoissen:2 postulated:5 aµλ:8 d69:2 local:9 interested:1 hope:1 do:5 dk:3 18c:1 express:1 mission:1 ebµ:3 feels:2 cannot:5 radiophysics:1 negative:4 words:1 despite:1 drell:1 applying:1 du:2 aν:9 3a:1 gr5:1 evolution:10 precession:8 4i:1 soldati:1 gronwald:1 fields:16 stoeger:3 arxiv:1 yield:1 summary:3 qc:3 experiments:1 predicted:6 neville:1 minkowski:5 qi:5 through:6 fixed:6 discussing:1 2d1:1 transversality:1 hλ:3 requirement:3 set:6 computed:1 exists:2 ricci:5 imposing:2 violated:2 hypersurface:4 d17:1 lett:2 observed:1 collectively:1 see:6 eaν:3 result:3 w1:1 leclerc:4 λbc:1 dµ:6 satisfies:3 λbd:1 acquires:1 uν:2 baµ:4 tensor:53 consistency:2 macroscopic:14 review:2 complementary:1 uα:3 b60:1 uβ:2 symmetric:11 written:5 future:2 various:3 use:7 between:9 understood:1 invariant:28 neither:1 overdot:1 law:1 notice:1 latin:1 terms:22 extend:2 nature:1 initially:1 wm:1 combining:1 however:11 wi:2 wj:1 vanishing:2 δab:1 distinguish:1 tensors:1 recall:2 suggested:5 reaction:9 essentially:2 d38:1 limits:1 many:1 ill:7 conclusions:2 agree:1 gµλ:1 april:1 connection:24 dated:1 distinction:1 argue:3 ensure:1 d34:1 mann:1 otherwise:1 arbitrarily:5 nection:1 d13:1 point:4 reasons:1 corresponds:1 dimensional:7 κt:1 maintained:2 ab:1 simply:1 conjugation:1 lagrange:2 cancel:1 respect:7 throughout:2 ignoring:2 considers:1 torsion:103 specializing:1 described:2 transformations:21 second:5 basis:2 addition:4 trajectory:2 three:6 been:4 alters:1 int:2 meanings:1 quant:3 lr:2 sezgin:2 anomaly:1 stanford:1 choose:1 undetermined:5 determinant:1 enable:1 corresponding:9 indeterminacy:1 both:5 quantities:2 sufficient:5 math:1 cos:8 gen:7 wish:1 hayashi:21 vµ:3 angles:1 cosmology:1 c3:2 c2:2 c1:2 denote:3 spin:23 iσ:1 those:9 case:10 exception:2 underdetermined:3 unlike:1 loophole:2 single:1 value:27 transformation:6 will:11 invoking:2 while:5 intro:1 replaced:1 euler:2 applies:1 situation:1 di:1 property:2 zerbini:1 couplings:3 postulating:1 vectors:2 whenever:2 satisfying:1 spacelike:1 coupled:1 eran:1 allows:1 refs:7 formulation:21 thus:11 dxν:1 surface:2 iv:4 ii:7 expressions:2 ij:2 ellipses:1 dual:3 turns:1 obey:1 rie:1 gyroscopes:8 fermion:1 coefficients:2 acknowledgments:1 binary:1 different:13 dragging:1 combination:1 satisfy:1 generic:4 suggest:1 make:2 grav:9 eigenvalue:2 cross:7 same:6 intersecting:1 4b:1 antisymmetry:1 parts:1 potentially:2 diagonalize:1 modification:1 d19:2 subdomain:7 showing:1 higher:1 status:2 independent:23 satellite:1 literature:3 http:1 hαβ:3 trivially:1 teleparallel:13 trajectories:1 upon:1 effect:1 hand:5 action:94 moment:1 uses:1 purpose:1 4d3:1 robust:1 invariance:4 von:2 identity:5 recent:2 prescribed:1 linearize:2 specialize:1 net:1 center:1 ωµab:13 nevertheless:3 expression:6 no:12 well:13 flanagan:1 observations:1 experimental:2 goals:1 sets:2 coordinate:1 organization:1 model:2 con:1 duµ:1 bodies:19 usual:4 distances:3 neighborhood:1 ρbc:1 d72:1 rosenbaum:2 just:2 being:2 generally:1 accurate:1 obtain:4 actions:3 vanishes:11 sources:1 distant:2 transforms:1 predicts:1 immediately:1 differentiation:1 momenta:2 ithaca:1 functionally:1 worldlines:2 note:3 enters:2 density:6 cornell:1 photons:3 conclude:3 except:1 guth:2 source:5 priori:1 transformed:1 nor:1 constant:4 stable:1 extensive:1 guarantees:3 remaining:5 momentum:8 generalized:3 acta:1 tests:1 evaluation:1 mensional:1 depends:7 demands:1 rules:3 nonphysical:2 couple:4 posed:19 term:27 usefully:3 λac:2 λab:4 hehl:2 know:2 background:6 vacuum:2 using:11 vλ:1 vν:5 ruled:2 nikolic:1 modifications:2 necessary:3 like:1 particle:10 follows:7 signal:13 ηab:5 maluf:1 specific:1 qm:8 yields:5 either:3 arbitrary:4 a16:1 pelster:2 pereira:3 reduces:5 spins:6 d25:1 because:4 often:1 classical:2 ignored:1 some:9 b4:2 b5:2 deduce:1 repeat:1 b1:2 choosing:4 specified:3 proper:1 kinds:1 mccarthy:1 transport:4 nester:3 scales:1 discarded:1 scale:1 primary:1 dimensions:1 kmn:5 extensively:1 pioneer:1 does:12 decomposition:1 unit:1 prog:3 propagating:1 formula:6 minimal:7 refer:1 considering:1 specifically:1 hammond:2 run:3 2b:1 11b:1 sρσ:1 retains:1 writing:1 agreement:1 expansion:1 interval:1 ld:3 found:2 post:1 after:1 gνλ:2 william:1 about:3 working:1 most:4 freedom:19 discussed:15 tµνλ:7 o:2 reduced:8 compatible:4 covariant:4 range:2 extensions:1 lorentzian:1 act:1 shared:1 d67:2 constraints:1 consequently:2 automatically:1 a4:2 dz:1 considerations:1 raised:2 rev:23 mielke:1 previously:3 unbounded:9 into:8 preliminary:1 isomorphic:1 nsf:1 due:1 modifying:1 lies:1 hermitian:1 right:4 sµ:8 determine:1 einstein:11 operator:4 proportional:1 substitutions:1 autoparallel:7 approximately:1 theoretically:1 utility:1 a3:7 rows:1 van:2 ehs:22 deser:1 assumed:3 neeman:1 initial:30 transform:1 long:1 start:2 anderson:1 detectable:5 low:1 way:2 αk:2 conceivable:2 sections:1 complete:14 form:19 b78:1 hr:3 adjusting:1 regard:1 denoting:2 but:15 principles:1 rµνλρ:2 lowered:2 aµ:10 ec:1 solar:1 ebν:3 line:4 removed:2 true:1 de:1 compute:3 4x:1 consist:2 versions:6 whether:1 pulsars:1 gravitational:21 2d2:1 up:1 us:3 discarding:2 below:15 converted:1 limit:5 ruling:1 planes:1 problem:1 piece:8 similar:2 called:6 eigenvector:1 obtains:1 mechanics:1 units:1 associated:3 b2:2 factor:2 6a:1 defined:14 certain:4 universal:1 contribute:1 direction:3 frames:1 general:16 dirac:4 examine:7 arises:1 exist:2 dλ:3 our:4 formalism:2 eaµ:28 metric:31 physical:5 again:1 functions:1 nomura:1 variety:1 uµ:7 fixing:1 heyde:2 when:2 detail:4 kelly:1 field:30 grd:1 other:7 details:1 test:11 theor:2 blagojevic:2 applications:1 constraining:1 conclusion:1 nonzero:3 dependence:2 star:5 generates:4 living:1 models:1 norm:1 problems:2 δuµ:1 transported:2 a1:8 generated:3 a2:9 bounded:2 allowing:1 velocity:1 variable:8 d28:1 correlated:1 implies:8 coupling:26 2d3:2 tested:1 assume:5 physics:1 dτ:14 required:2 curve:2 d24:1 together:8 gαβ:1 portion:4 appendix:9 mass:3 time:7 observables:3 laws:1 requires:2 original:3 4a:1
0704.1449.txt |@word represent:1 partial:11 consider:8 funct:3 induces:3 results:3 proposition:4 entropy:1 computation:1 edu:2 go:1 homomorphism:4 contributions:1 gi:4 soc:4 compact:4 whose:7 choquet:2 lifting:1 depend:1 calculate:1 paris:1 graph:1 stably:2 tr:3 preprint:1 γk:2 uniqueness:12 preserved:1 stable:33 ebres:1 include:1 presentation:3 worth:4 norm:28 applied:1 nonstable:1 advantage:1 very:5 rise:4 choice:6 unitaries:5 corollary:3 subhomogeneous:24 every:1 allowed:1 ui:24 φnm:3 difference:3 exact:7 φni:1 esentations:1 dim:2 beginning:1 level:16 bn:4 irreducible:4 list:1 81e:1 t0:29 large:1 admissible:1 convenience:1 vector:1 gauthier:1 small:10 eigenvalues:3 anal:3 still:5 application:1 abbreviated:3 smaller:6 semicontinuous:13 estimates:1 direct:4 approximation:1 consists:3 zero:25 value:4 follow:1 manner:1 reine:3 linear:6 even:3 what:2 sub:54 section:16 hereditary:40 ˆa:1 gn:4 above:10 sup:8 suppose:3 increasing:3 consisting:4 annalen:1 pˆa:4 full:13 exchange:1 respectively:3 l1:1 modify:1 preserves:1 here:6 diagonal:7 desired:6 les:1 them:1 groups:1 address:2 represented:1 consideration:2 along:1 strong:2 respect:16 change:5 extreme:8 obtained:9 gli:1 remark:13 canadian:2 institute:4 inspired:2 changed:1 allows:2 later:2 p2:2 base:3 pick:2 usually:1 suitable:3 makes:2 cancellation:3 sci:1 composed:1 ψm:1 determined:2 via:1 useful:2 projection:19 classification:25 extra:2 apr:1 explained:1 scaled:1 weaker:1 apply:8 tools:1 enk:2 unit:17 use:7 takes:2 leurs:1 prove:10 positive:16 contains:2 bundles:3 tends:1 ψt:5 next:13 anticommutation:1 call:2 therefore:12 m2:10 taken:2 themselves:1 enl:7 more:7 alg:1 fai:36 clever:1 formally:1 reworking:1 clearly:2 vl:1 operators:3 under:5 corrected:1 jiang:1 berlin:1 department:2 everywhere:3 normalized:3 particular:6 known:1 cases:2 hold:1 circle:1 must:1 brown:3 springer:1 isomorphism:21 defines:1 tokyo:1 indexed:2 recall:4 originally:1 work:4 mi:3 modified:1 mk:19 perturb:2 mt:3 crossed:1 sent:1 choi:1 following:10 proof:27 kirchberg:1 claim:4 compare:2 toms:1 memoirs:1 figure:7 stated:1 preserving:2 share:1 purposes:1 states:2 tensoring:1 assumptions:1 pulling:5 performed:1 want:8 sense:8 exclude:1 mn:2 conversely:1 guarantee:1 normalize:5 information:1 needs:3 rays:4 end:2 g1:1 rather:1 eni:40 aff:20 hom:2 pedersen:6 enlarge:1 enn:15 maps:23 need:3 adjacent:1 ψii:4 absolute:1 classify:1 map:47 product:1 proc:1 blocks:13 description:3 algebra:110 may:3 overall:1 after:3 containing:2 diagram:12 consequence:1 coming:1 date:1 representations:2 summarize:1 data:3 compatibility:1 fn:3 realized:1 short:1 natural:1 whenever:1 spectra:2 lines:3 correspond:3 su:3 element:7 hypotheses:3 cannot:2 so:4 fundamental:1 representation:5 cristian:22 order:4 commu:1 london:1 holds:9 neighbourhoods:2 vmi:1 september:1 indeed:2 over:11 perturbed:1 murray:2 stability:1 mathematicians:1 paper:1 through:1 thesis:3 banach:1 differs:1 existence:26 satisfies:1 loring:6 its:4 depending:1 before:1 τn:3 phillips:1 τl:1 derive:1 group:6 subinterval:2 how:3 chosen:3 interesting:1 fix:2 affine:34 coordinates:2 li:6 continue:1 choose:5 selfadjoint:1 main:4 might:1 image:11 non:35 h1:6 pure:1 largest:1 noticing:2 introduce:1 mention:1 rank:14 they:4 half:1 singularity:6 now:7 elliott:47 eigenvalue:21 several:1 equality:3 homomorphisms:5 verifying:1 always:3 university:4 presented:5 identified:3 establishing:1 simplicity:1 inequality:8 l2:1 φn:8 each:27 morita:1 2n:3 traces:5 side:1 francisco:1 referred:1 homogeneous:1 tensor:1 domain:4 successively:1 classifying:1 reduce:1 idea:1 tracial:2 balanced:5 m0:1 extended:5 ex:1 measure:2 quantum:1 our:11 approximated:1 special:41 out:3 canada:2 stands:1 ultimately:1 monographs:1 matrix:11 space:14 restricted:3 since:12 crucial:3 f1:3 contained:2 bli:1 rational:1 reader:1 formula:1 induced:3 suffices:1 ri:4 math:22 shows:6 fiber:2 theory:3 hull:1 discontinuity:5 differ:1 difficulty:1 necessarily:5 subsequences:3 york:2 subalgebras:2 ash:6 inductive:54 generate:1 definition:7 mr:2 applications:2 phrases:1 similarly:2 φmi:1 keep:1 scand:2 length:1 place:1 hence:16 think:1 first:9 separable:4 xk:2 major:1 already:4 diagrammatically:1 stevens:22 number:5 preservation:1 nested:1 restrict:2 infinite:2 amenable:1 done:3 approximately:32 another:5 fi:4 carry:1 indices:1 pˆ:4 precisely:2 open:11 george:21 size:4 given:43 perturbation:2 kluwer:1 needed:2 introduction:2 relations:3 their:6 assumption:2 identity:3 statement:3 fmi:1 speaking:1 gives:3 fraction:1 tuple:4 completed:1 exactly:5 quadrant:3 required:1 τm:1 part:23 dixmier:1 off:3 x1:2 than:8 finitely:5 kind:1 showed:1 require:1 etc:2 see:14 normalizing:1 lim:23 subsequence:4 classes:1 were:1 projections:6 exhibit:1 complexes:1 false:2 san:1 generality:4 ann:1 pass:1 argument:7 generalization:1 ank:3 say:5 substantial:1 parameterized:1 intertwining:13 seen:2 recover:1 any:19 viewed:1 paths:2 concrete:3 check:1 convenient:2 lin:1 able:4 converges:1 note:3 instance:3 ideal:7 k0:16 take:2 forces:1 subintervals:2 green:1 coincide:1 canonical:1 lectures:1 continuous:80 trace:75 shall:4 sequence:11 systems:1 birkh:1 most:2 an1:2 automorphism:3 νi:6 intrinsic:1 class:12 appear:3 give:2 tλ:1 considered:3 h2t:1 calculated:1 partition:1 stronger:1 countable:2 graphs:2 proceedings:3 points:14 pattern:11 physics:1 sum:2 fact:8 akemann:1 operations:1 show:5 ending:1 spaces:12 relation:2 solutions:1 φm:1 codomain:2 uniform:1 trivial:1 find:3 make:4 q1:4 based:2 kyoto:1 boundary:2 basel:1 unions:1 contraction:1 stud:2 lemma:9 only:8 tolerance:1 generators:1 pairing:2 inherited:1 attained:1 µi:5 constant:4 pointed:2 perturbations:1 continuity:1 abelian:1 ani:8 normalizations:1 subspaces:1 get:12 ϕt:1 db:9 repr:1 da:21 ones:1 words:6 new:8 during:1 rˆi:3 bidual:1 closure:2 m5s:2 introduced:1 conditions:2 irrational:1 arxiv:1 encyclopedia:1 method:1 imposed:1 investigate:1 she:1 ut:5 including:1 homeomorphic:6 fixed:2 approximations:1 wt1:5 set:14 opposed:1 exists:8 mentioned:6 namely:8 intertwine:1 gaps:1 result:10 y0:3 close:6 relabeling:2 subject:1 tative:1 said:2 inequalities:5 uλ:17 nuclear:2 wassermann:1 functionals:2 state:4 smallest:3 identification:1 closed:16 between:10 invariant:56 geometric:1 approach:3 pictured:1 counterexample:4 adv:1 notice:11 terms:3 extend:1 focus:1 equals:1 wt:20 hypothesis:8 answers:1 key:1 distinguish:1 article:1 amer:3 topology:3 both:5 essentially:1 piece:1 lebesgue:1 limits:21 many:3 taking:2 τi:4 relabel:1 equal:19 conference:2 fulfilled:3 vψ:4 present:10 angew:4 eilers:1 passing:2 argue:1 whole:2 coincides:1 otherwise:3 among:2 diffeomorphisms:1 fields:4 conclude:5 simple:65 δt0:2 cf:5 dimensional:3 simply:1 2e4:2 sequences:2 ordered:2 actually:1 cw:1 torsion:1 considering:1 described:4 commutative:4 aˆ:2 union:5 locally:1 due:1 strategy:1 ai:38 much:2 ensured:1 certain:29 ph:3 algebras:150 ak:5 define:3 wants:1 direction:2 arises:2 corresponding:4 restrictions:1 ists:1 composing:2 sufficient:3 subspace:2 andrew:1 toronto:8 spectrum:29 observe:2 representative:2 mail:2 constructing:1 consecutive:1 c0:46 those:1 case:17 p1:4 means:1 ǫn:4 evaluated:2 choices:2 will:19 near:1 replaced:1 international:2 eii:2 situation:2 di:1 property:11 study:1 procedure:2 ein:5 identical:1 unitary:5 almost:1 unction:1 von:2 thus:2 inite:1 ii:3 disjoint:4 89b:1 cone:10 vv:1 supremum:3 φii:2 eigenfunction:3 different:4 φt:3 fibers:1 intended:1 same:13 semiprojective:8 equivalence:1 parts:1 schematic:1 h1t:1 units:3 φi:2 proved:6 finite:30 subalgebra:1 piecewise:1 isometries:5 independent:3 clear:2 used:5 infinity:2 assigns:2 i1:5 i2:1 publ:1 average:1 moment:1 uses:1 auser:1 2mk:5 build:1 hπ:2 normalization:2 mentioning:4 prescribed:1 lower:13 weakly:6 least:3 proceed:1 mapped:1 valued:9 well:2 roughly:2 analysis:1 thought:1 patterns:3 mathematische:1 without:1 components:1 sets:7 coordinate:1 dimension:64 usual:1 isometry:4 gelfand:1 construct:7 just:2 being:3 when:7 obtain:9 λb:1 intervals:6 summed:1 λi:13 rotation:1 previous:2 hah:3 villars:1 eln:3 family:11 integer:3 density:1 informal:1 point:15 zurich:1 except:4 realize:1 operator:7 other:9 theorem:80 projectionless:1 details:1 real:11 aspects:1 around:3 isomorphisms:1 rieffel:1 showing:2 sums:1 possible:10 corresponds:1 possibly:2 sits:2 know:4 press:1 necessary:8 moreover:5 loss:3 appearing:3 follows:8 δt:4 automorphisms:3 communications:3 intertwines:2 steps:2 integrals:1 δi:12 canonically:2 pointwise:3 terminology:1 mathematical:6 because:16 dordrecht:1 neumann:2 polar:1 do:1 some:18 back:6 pacific:2 ideals:2 repeat:1 examples:1 b2:5 convex:3 images:1 proofs:1 provided:1 vol:5 dense:1 icm:1 though:2 prop:1 k1:1 providence:4 does:2 decomposition:10 summand:1 assuming:2 ped:1 umi:2 minimal:3 eigenfunctions:6 bold:1 bm:2 equivalent:6 arbitrary:2 bi:20 step:13 simplex:3 properties:1 stage:8 integers:1 about:1 extension:2 getting:1 condition:4 am:3 theorems:5 generated:15 oa:1 2i:4 compatible:6 addition:3 range:11 a2:20 ensure:2 continous:1 mean:2 slightly:1 block:7 plan:1 vi:1 subset:12 primitive:1 contractions:2 an2:2 inclusion:1 h2:5 unbounded:5 into:8 within:3 splitting:1 isomorphic:8 copies:1 perturbing:2 acad:1 references:1 elementary:1 metrizable:2 springerverlag:1 canad:2 assumed:5 strictly:6 there:24 question:1 approximate:21 long:1 why:1 start:2 inner:3 way:14 was:14 strict:1 naturally:3 function:98 academic:1 arise:1 complete:5 form:3 enough:1 basic:1 but:1 approximates:1 japan:1 construction:1 larger:2 removed:1 true:3 partially:2 pull:1 made:2 applying:4 embedded:1 society:5 multiplicity:1 inside:13 up:2 us:10 wψ:4 um:1 ul:11 below:8 un:7 limit:36 uk:2 problem:2 stages:1 similar:3 called:2 b1:5 strongly:1 gong:3 associated:4 defined:11 ah:2 abstract:1 describe:1 linearity:1 proven:1 general:5 thomsen:5 single:1 exist:2 ingredients:1 commuting:4 proceeds:1 constructed:6 ni:7 functions:15 compared:1 dotted:1 no:5 generally:1 unital:19 multipliers:1 field:1 priori:1 neighbourhood:4 becomes:1 2mk2:1 mathematics:3 shrink:1 conclusion:1 picture:3 elements:12 denote:7 congress:1 ψnm:1 problems:1 shown:16 bundle:1 a1:30 hausdorff:3 a3:6 important:14 bounded:2 gap:7 building:20 independently:1 implies:4 using:9 assume:12 values:2 american:4 interval:30 ottawa:1 having:1 satellite:1 equivalently:3 noncommutative:1 mass:1 time:2 n1:1 n2:1 starting:3 original:2 once:1
0704.1450.txt |@word searle:11 surrounded:1 partial:1 consider:1 remarkable:1 catalogue:1 rev:1 observatorio:2 ours:5 results:5 four:1 comments:2 cooperative:1 bergmann:1 disk:43 contributions:1 schlegel:2 compact:8 arcsec:2 certainly:2 pedro:3 depend:1 32s:9 piatti:1 i2:1 iii:16 concerned:1 young:10 ıa:36 finally:2 monotonically:1 aut:2 under:2 atlas:2 include:1 29s:2 indicating:5 ın:1 case:3 global:2 mpc:3 very:9 k5iii:1 springer:2 ia:2 vera:2 worst:2 should:1 approximate:3 affect:1 type1:2 difference:4 nor:1 palomar:1 interferometry:1 dottori:3 clouds:1 broderick:1 level:2 did:3 turns:1 shock:2 bright:31 standards:2 large:9 asp:1 34s:8 small:5 relation:1 lynds:2 related:1 still:1 aeronautics:1 strongly:1 smaller:2 foreground:3 miller:1 consistent:1 estimates:1 literature:3 empirical:1 located:1 itself:1 airmass:4 profiles:1 perfect:1 dynamics:1 estimated:32 observatories:1 appropiate:2 calibrators:1 blue:6 38s:3 errors:1 schmitt:1 appear:1 support:2 ned:4 selected:1 near:1 filippenko:6 current:1 bipolar:2 mv:2 absolute:2 above:1 new:5 fall:1 staff:1 journal:3 filled:6 coefficient:1 1997b:1 1997a:3 full:2 hern:1 dahn:1 respectively:3 iraf:27 fronts:1 here:2 leo:1 highly:1 reported:13 tracks:2 objects:1 groups:2 along:4 strong:1 equations:2 deduced:1 obtained:4 instituto:2 arc:1 environment:1 institute:1 involved:1 study:7 larger:4 allows:1 reports:3 myrs:2 cetty:5 suggests:2 amount:1 tully:2 correct:1 california:4 adopting:1 hexagon:1 makes:1 involves:1 plotted:1 15s:1 diameter:12 tasks:7 natural:1 although:2 gonz:1 pfenniger:2 apr:9 photometric:5 interarm:2 seven:1 logical:1 histories:1 apj:6 visible:4 apply:1 total:11 univ:1 select:1 sky:8 plot:1 use:6 eye:2 franco:9 would:7 brighter:3 etc:1 arms:4 intense:1 few:1 camera:2 kinematics:2 debiased:1 aperture:36 associated:4 mora:1 type:22 theoretical:3 diagrams:1 more:4 43s:1 flat:2 10h:11 ejected:1 inclined:2 starburst:1 corrected:11 emission:20 33s:11 instrumental:4 visual:2 apjs:6 particular:4 known:4 rubin:2 must:3 abundance:2 evolves:1 account:2 phot:19 mm:1 science:2 der:2 work:3 ıaz:1 mu:1 paturel:1 vs:1 nine:1 den:3 henry:2 huchtmeier:3 caution:1 lockwood:1 southwest:6 example:3 vary:1 history:3 help:1 compare:3 weaker:1 conf:1 figure:7 give:2 predict:1 discussed:1 referee:1 suggestions:1 hexagons:1 topic:1 indicates:1 way:2 geomap:1 performed:1 magnitudes:63 ascension:6 hydrogen:2 axis:5 information:1 needs:2 end:5 provide:2 describes:1 discussion:2 31s:7 regions:16 how:3 rudnick:6 bottinelli:1 elliptical:1 objets:1 hi:3 βu:1 circular:10 bressan:2 mar:1 galactic:16 cosmic:1 may:3 after:4 derived:3 santos:1 collection:1 diagram:6 davis:2 catalog:3 plane:2 distances:3 mag:11 coming:1 fpa:1 data:4 parallel:1 types:4 gaussian:2 fabbiano:2 sy:1 calves:2 dynamical:1 effective:1 m67:5 uncertainities:18 lines:3 liner:1 ghz:1 compressing:1 quadrant:4 spectral:3 ionized:1 used:8 fundamental:2 decreasing:1 ultraviolet:2 increase:2 order:19 triggering:1 typical:2 eron:10 evolutionary:2 closely:1 noteworthy:2 laboratory:1 developed:1 astronomical:1 insight:2 mainly:4 bica:16 produced:1 combinations:1 paper:3 through:2 statistical:1 existence:3 owens:1 fwhm:2 its:15 galaxy:48 before:3 observational:1 chemical:6 delgado:1 group:3 thank:2 fit:1 imf:1 chosen:3 expectations:1 edge:2 late:3 previously:1 detected:3 larsen:2 rosado:5 fig:19 annual:1 clusters:22 37s:10 main:1 might:3 pixel:2 castillo:1 versus:7 ri:3 them:5 good:2 affected:1 dim:2 villarreal:1 22c:1 anchored:1 morphologically:1 k3v:1 band:3 circumnuclear:1 usno:1 they:4 half:2 front:1 rotation:1 realize:1 bernal:1 densities:1 straddling:1 easily:1 indeed:2 alez:1 brightness:15 sandage:2 vsys:4 ector:1 routines:3 greisen:1 events:1 astronom:1 filling:4 kpc:23 each:23 found:1 hubble:2 photometry:20 traces:1 side:4 characterized:1 mean:1 square:2 transforming:1 telescope:2 mexico:1 chose:1 publishers:1 20c:1 1996a:3 1996b:2 extended:2 obtains:1 our:25 bluer:1 ring:4 out:8 shown:6 gon:2 3rd:1 factors:2 since:7 martins:1 projected:4 research:1 content:2 collisions:1 benitez:1 suggesting:3 mihalas:2 newly:1 squares:4 issue:1 integrated:2 shows:11 log:1 foundation:2 arizona:1 linear:3 ast:1 wilkinson:7 galaxies:19 differ:1 free:1 standard:7 39s:6 sbc:1 reason:1 base:1 formation:8 imaging:1 onoma:2 estimate:19 lmc:9 beginning:1 combes:2 grosbøl:2 care:1 millimeter:1 βv:1 unresolved:2 r0:1 r1:1 βr:1 question:1 determining:1 could:2 programming:1 times:1 filter:16 benedict:2 american:1 βb:1 universidad:2 corrections:2 ubvri:3 βi:1 south:21 first:4 knots:1 arp:1 major:6 initial:2 features:1 upper:1 ilovaisky:6 number:9 u0:1 utilized:1 done:1 relations:1 another:2 carry:1 array:1 synchroton:1 open:6 angular:4 size:1 alvensleben:2 given:8 publication:1 jet:1 indicate:6 introduction:1 schild:3 achieved:1 moderately:1 system:2 least:2 sargent:7 their:14 assumption:1 observations:9 iau:2 white:1 molecular:8 structures:72 frame:2 listed:6 excellent:1 wolter:2 lot:2 mostly:1 wavelength:1 continuous:2 17c:1 lists:6 binney:2 part:4 western:6 authors:2 baja:3 interactively:1 july:1 than:12 coefficients:3 distance:6 polarized:1 decided:2 third:1 showed:1 summary:1 iteration:1 zero:1 final:10 determined:1 rim:2 aas:1 were:32 galactocentric:1 tinsley:9 interactive:1 function:5 sb:1 san:4 martos:1 correction:1 ages:29 spectrum:1 correspond:3 say:1 medium:1 headings:1 gaseous:2 concentration:2 gilliland:1 any:3 ray:2 lie:15 angle:3 fritze:2 maloney:2 able:4 isolated:2 taylor:1 astrofis:1 oriented:1 guetter:1 high:7 internal:2 resembling:1 coincide:1 concern:1 chiosi:2 600s:3 circles:3 universities:1 experienced:1 relatively:2 normal:4 object:3 sfr:2 remanent:1 most:7 attempt:1 detect:1 propagate:1 centroids:1 significant:1 ccd:5 possible:1 histogram:4 intrinsic:7 fair:1 exico:11 kb:1 deviations:1 acknowledges:2 subtracted:2 considered:1 into:4 αv:1 stronger:1 km:5 ramirez:1 kr:1 barred:6 optical:16 verlag:2 kv:1 ku:1 flux:3 vaucouleurs:5 section:3 lying:1 slope:2 polygons:2 αb:1 intensity:2 show:6 λef:1 supported:2 furenlid:2 supposition:1 fleming:1 ki:1 colors:44 koda:1 radio:9 suntzeff:1 convolved:2 present:1 buta:1 agrees:1 principal:1 larson:11 northeast:3 based:1 ngc:102 bagnuolo:11 gioia:1 outside:9 peculiar:3 masked:1 only:5 going:1 condon:2 kruit:2 factor:4 thompson:1 various:1 circle:5 carrasco:1 density:2 columns:1 his:1 dominant:1 18c:1 lobe:5 compiled:1 de:10 smc:2 αi:1 watson:1 observatory:1 words:1 report:3 hii:16 years:1 procedures:3 bird:1 areas:1 following:2 ovro:1 bar:19 continuum:6 course:1 luminosity:1 latex:1 arxiv:1 remove:2 method:2 deconvolved:1 bad:1 scientist:1 li:3 common:2 b1950:4 contain:1 iap:1 london:1 mjy:2 valid:1 scoville:1 carrillo:5 filters:12 observer:1 burst:2 hβ:1 problem:1 national:4 hα:5 ends:1 ables:1 grey:1 observed:9 edition:1 see:3 individual:4 radius:19 result:8 ignores:1 operated:3 close:2 arm:8 best:1 subject:1 closer:2 αr:1 αu:1 probable:1 extragalactic:2 crooked:2 propulsion:1 away:1 currently:1 bias:3 below:1 artificial:1 wor:2 macros:1 behind:1 luc:1 identification:1 toledo:1 tens:2 probably:2 geometric:1 available:1 gives:3 notice:4 barreto:32 institution:1 spm:1 component:1 supernova:3 prior:1 weak:5 however:6 acknowledgements:1 southeast:1 york:2 rapid:1 wr:1 extent:1 lb:1 swift:3 pixels:27 improve:1 concentrated:2 both:2 oiii:1 toward:2 brown:1 anders:2 many:7 region:16 uncertainty:1 according:4 contract:1 storchi:1 assure:1 connection:1 27s:5 figures:2 aura:1 beyond:6 estimation:7 whole:3 whitmore:1 nearby:2 millions:1 among:3 relevant:1 co:6 cm:4 point:2 color:25 had:1 21c:1 corresponds:2 except:2 dimensional:2 written:1 respect:2 throughout:22 second:2 better:2 gerin:1 claria:1 transformations:1 kinematic:2 estimating:7 west:22 swb:61 due:2 been:7 sheth:1 pc:9 reduction:3 much:2 complicated:1 combined:1 basic:1 expected:3 conacyt:1 ph:1 meeting:1 location:4 box:1 radii:6 emphasize:1 partly:2 eastern:6 quantities:1 formed:1 gas:12 binning:1 locations:2 corner:1 representative:1 300s:2 astron:2 v5:1 careful:3 those:7 reddening:4 applied:3 maccacaro:2 supernovae:3 bertelli:2 reliable:1 estimations:2 appearance:1 single:1 value:5 will:1 while:5 08h:2 superposed:1 escalante:1 fernandes:2 exist:1 richter:2 taking:2 procedure:1 computed:1 opt:1 detailed:1 studied:3 penprase:1 iva:6 ivb:7 freeman:1 characteristics:1 thus:2 surface:15 nomenclature:2 ii:23 cluster:3 excessively:1 properties:1 against:1 triple:1 allen:2 comparative:1 bow:1 technology:1 id:46 different:57 thronson:1 verified:1 grant:3 perhaps:1 suggest:5 administration:1 cross:1 same:1 parts:1 35s:13 northwest:2 largest:3 units:1 v1:1 several:5 pires:1 composition:2 difficult:4 innermost:1 jeffrey:1 nii:1 closest:1 fielded:2 i0:1 extention:1 companion:1 nightly:1 average:2 ubvi:1 user:1 kim:2 mexicana:1 dust:1 36s:16 ab:1 reference:4 recent:4 morris:2 task:14 off:2 center:9 database:1 calibration:2 well:4 analysis:4 antonio:1 academic:1 without:3 pugh:3 does:1 k3iii:1 oan:1 position:12 14c:1 figs:3 left:1 noao:2 surveys:1 monet:2 just:3 less:3 being:1 proximity:1 obtain:1 yrs:26 astronomia:1 seen:1 sources:4 violent:1 intervals:1 identify:1 atomic:2 positions:6 equal:1 yet:1 previous:1 ective:1 tables:3 postal:1 preprint:1 kluwer:1 conclusions:2 la:1 conclude:1 seems:2 fitting:1 5s:2 nacional:4 source:4 dipper:1 caltech:1 transformed:1 association:2 perot:2 duncan:1 east:7 transformation:2 emphasis:1 associations:25 vii:10 march:1 around:2 bands:3 showing:5 astronomico:1 comparing:1 early:2 g8v:1 five:2 ciencias:1 background:10 press:2 using:26 accepted:1 correcting:1 formal:1 46m:11 phenomena:1 necessary:2 like:3 mhi:1 bulge:2 follows:3 performing:1 translates:2 apertures:7 perley:1 moreno:1 night:2 populations:1 output:1 28s:2 works:1 clar:2 omico:1 because:5 old:2 methods:2 sequence:1 understand:1 30s:9 some:3 somehow:1 jr:3 j2000:27 strongest:1 towards:1 b0:1 b1:1 choosing:1 table:26 images:17 classes:2 uncertainties:1 southern:1 girardi:2 extinction:25 chornock:3 obtaining:4 trimmed:1 broadband:4 broad:1 finkbeiner:1 integration:1 per:2 id1:1 nonthermal:1 bursts:1 trinchieri:2 assuming:1 greyscale:3 speak:1 numbers:1 inclination:2 measuring:1 terms:2 varying:2 artir:3 run:1 indicated:1 charmandaris:1 seconds:1 problems:1 equivalent:15 arbitrary:1 aj:11 agreement:4 stellar:45 step:3 ratios:1 yin:1 prepared:1 between:32 takes:1 comparison:7 about:13 central:8 carried:1 world:1 package:1 column:2 universe:1 levine:1 anomalous:1 15c:1 mamon:1 financial:1 range:1 42s:1 andez:1 slightly:1 contours:5 automatically:1 peak:6 vi:6 seeing:5 cambridge:2 h2:7 image:12 within:12 washington:2 garc:32 nsf:1 three:4 lies:9 right:6 references:2 determine:1 registration:1 frames:3 proportional:1 approximately:2 diameters:3 poss:1 rows:1 van:5 additional:1 her:1 area:4 assumed:1 array1:1 there:11 chevalier:6 spiral:15 canzian:1 dispersion:1 width:6 outflow:2 facultad:1 inner:4 stars:33 ed:3 valley:1 was:23 downes:1 unam:1 synchrotron:4 delineate:1 scale:6 north:8 enough:4 peng:1 forming:1 differences:5 but:8 uncertainity:6 astro:1 taken:11 cloud:2 magnitude:7 v0:1 ho:5 mnras:1 magellanic:3 line:2 removed:1 true:1 utilizing:5 he:1 cotton:1 made:3 embedded:10 cid:2 characteristic:2 attached:1 maximum:2 rc3:5 dordrecht:1 tucson:1 astrophysical:1 limit:1 spectroscopy:1 sum:1 flats:1 distribution:6 similar:11 calculated:1 quadrants:1 aa:1 exposures:1 48m:2 interval:10 constant:1 ai:1 corwin:2 abstract:1 contribute:1 general:2 lobes:4 ar:1 au:1 av:4 corresponding:1 schweizer:1 bergh:3 apartado:1 triangles:4 inc:1 montes:1 compared:4 no:5 amounts:2 na:2 nc:2 when:7 rs:1 field:22 other:10 spatial:8 test:4 dgapa:1 f7v:1 ubv:3 francisco:1 star:62 energetic:1 models:3 asterisk:2 stocke:3 carnegie:1 includes:6 replace:1 metallicity:4 important:5 nucleus:19 fabry:2 additionally:1 velocity:2 included:2 astronomy:3 seiradakis:3 structure:15 exposure:1 semicircle:6 fouque:1 u1:1 assume:1 values:1 age:10 space:1 magri:1 enrichment:2 nasa:2 mass:4 fact:3 time:3 declination:5 resolution:6 having:2 ensenada:1
0704.1451.txt |@word rev:7 forbidden:1 results:1 leads:3 scalar:8 generalize:1 edu:1 follow:1 reasoning:1 vev:9 content:10 concerned:1 tr:1 tn:1 finally:1 th:5 stable:1 tr3:1 family:2 dispense:1 rise:1 focus:1 four:2 integrated:1 leave:1 discrete:5 uem:1 zn:6 lightest:2 rate:2 silverstein:1 cft:5 implemented:1 tev:3 even:1 what:1 suc:9 sub:1 giving:3 sun:1 sum:1 sul:17 supermultiplet:1 sui:4 current:3 sur:8 new:1 acknowledgments:1 contrast:1 satisfy:1 full:1 vanderbilt:2 here:4 desired:1 explore:1 disastrous:2 groups:2 address:2 pati:1 z7:9 z2:6 obtained:3 great:1 antisymmetric:1 colored:7 study:1 studied:1 evading:1 amount:1 products:2 su2:1 su1:1 decouple:1 kachru:1 examining:1 via:4 useful:1 classification:1 extra:2 apr:1 problematic:1 a22:1 anomalies:1 neutrino:1 total:1 charge:3 proceed:1 would:5 remains:1 continuous:2 contains:4 tl:3 eleven:1 nucl:1 therefore:4 criteria:2 type:4 clever:1 operators:2 under:2 carrying:1 particular:1 known:2 iii:1 must:2 mg:1 recall:1 challenge:1 work:2 salam:1 impasse:1 remain:1 nine:1 spontaneous:1 example:1 cartan:1 challenging:1 figure:1 give:2 anomalous:1 generically:1 high:1 numbers:3 arise:5 exclude:1 quark:2 hoc:1 provide:2 discussion:1 breaking:7 feature:1 lepton:3 how:2 nontrivial:2 lh2:1 lh1:1 ubiquitous:1 after:2 produce:3 representations:7 types:1 realized:2 short:1 lhc:2 effective:1 higgs:1 light:1 counter:1 su:23 so:3 fundamental:1 representation:1 increase:1 order:3 typical:2 qh2:1 six:3 gauged:2 through:1 bifundamental:2 left:1 argued:1 existence:1 still:2 avenue:1 its:1 before:2 orbifold:6 group:11 surviving:1 decay:19 chosen:1 masses:6 presence:2 actually:1 fig:1 listing:1 ours:1 supersymmetry:1 correspondence:2 non:8 h1:1 motivated:1 thereby:1 bound:1 break:7 they:3 now:4 accommodate:1 february:1 2q:1 2s:1 james:2 university:1 identified:1 reasonable:1 each:1 found:3 constraints:1 heavy:1 successively:1 doing:1 energy:1 expect:1 quantum:2 our:3 avoided:1 out:2 shown:5 mediates:1 factors:1 since:5 lagrangian:1 particles:4 mβ:1 forth:1 occurs:2 theory:2 assured:1 interactions:3 diagonal:1 standard:3 five:1 completely:1 unwanted:1 put:1 e6:4 generate:1 forbids:1 interaction:4 chiral:2 napoli:1 persists:1 proportionality:1 hence:1 assign:1 first:3 exotic:2 there:5 symmetry:17 number:1 carry:1 electronic:2 given:8 introduction:1 leading:1 adjoint:2 their:3 too:1 calculations:1 tom:1 recent:1 fermions:9 sin2:3 acquire:2 natural:1 believe:1 matter:10 were:1 willenbrock:2 steep:1 minus:1 sees:1 few:1 seen:2 seem:1 any:9 relatively:1 sayre:1 mechanism:2 note:1 potential:1 take:1 baryon:3 begin:2 added:1 sm:3 reach:1 singlet:3 harmful:1 most:1 involving:1 pair:1 class:1 consequences:2 implications:1 dent:2 diag:2 usual:3 physics:2 fact:1 sector:1 thomas:1 3p:1 show:4 supported:1 attempts:1 qh1:1 gauge:7 inconsistent:1 find:2 pause:1 based:3 only:4 candidates:2 bifundamentals:1 achieve:1 abelian:2 gev:2 get:1 dependent:1 de:1 combinations:1 arranged:1 takahashi:2 frampton:9 fields:3 arxiv:15 whether:1 investigate:1 orbifolded:5 dangerous:2 discussing:1 generations:1 set:1 opposed:1 exists:2 phenomenologically:1 see:4 triplet:1 result:4 terms:5 gmail:1 nekrasov:1 αy:1 pattern:1 review:2 label:1 written:1 various:2 simplest:2 progress:1 subscript:2 previous:1 attention:1 recently:1 nashville:1 however:2 realization:1 rapidly:1 suppressed:1 problem:2 originates:1 both:1 generator:1 many:1 equal:1 dated:1 embedding:4 argue:1 com:1 experimental:1 strongly:1 conclude:2 color:1 corresponds:1 proton:20 cancel:1 writing:1 superpartner:1 accomplishing:1 described:1 transformations:1 three:4 been:3 much:1 interest:1 pk:1 ph:11 arises:1 families:1 scalars:18 suppress:1 sufficient:2 spectrum:1 representative:1 θw:3 present:7 case:6 examine:2 choices:2 will:24 while:1 di:1 lawrence:1 conformal:3 couplings:4 seven:1 phenomenological:1 thus:3 iv:1 ii:1 examined:3 lifetime:1 susy:12 aspects:1 fermion:5 pas:2 lcp:5 grant:1 generic:1 same:1 complex:1 grand:1 avoids:1 subalgebra:1 assignment:2 upon:1 hand:2 subgroups:1 charges:4 well:6 analysis:2 severe:1 without:1 trinification:7 model:32 dimension:3 subgroup:1 unified:1 λq:1 just:1 labeled:1 obtain:2 λc:1 underlying:1 immediately:1 paul:1 yet:1 λl:1 adding:1 rapid:4 ads:8 candidate:5 conclusions:1 except:1 lattice:1 lett:8 mod:2 remaining:1 real:1 yukawa:4 lacking:1 multiplets:1 breaks:2 disagreement:1 possible:3 dark:7 increases:1 unification:15 background:1 press:1 integer:1 decomposes:1 occurring:1 desire:1 incredibly:1 imposed:1 particle:8 follows:2 always:2 become:1 therein:1 parity:3 right:1 some:2 ads5:2 kephart:5 examples:1 escape:1 rohm:1 gross:1 scale:20 lead:1 thank:1 does:1 decomposition:1 minimal:3 martin:1 agreement:1 broken:2 refers:2 constrains:1 discussed:1 a3:1 plus:3 assignments:3 h2:1 within:2 hypercharge:1 due:8 down:1 appropriate:1 references:1 determine:2 operator:1 hep:15 additional:2 dimensionful:1 vafa:1 strictly:1 initial:3 generation:1 bosons:1 low:13 was:9 naturally:3 form:2 qcd:1 but:7 astro:1 neutral:2 fg05:1 vevs:2 made:2 uy:6 ux:5 2πi:2 wish:1 bounds:2 us:1 embed:1 similar:2 ub:6 detailed:2 viable:1 constant:1 ad:1 defined:1 aj:3 general:1 single:1 exist:3 supersymmetric:4 doe:1 constructed:1 nj:3 orbifolding:4 no:1 when:5 handed:1 field:1 other:2 department:1 massless:1 acceptable:1 elements:1 provided:1 models:14 nonconserving:1 a1:3 generated:3 a2:1 a4:1 astronomy:1 building:2 assume:1 required:1 write:1 mass:1 n1:2 starting:1 once:2
0704.1452.txt |@word magnetic:27 four:18 entropy:70 nwo:1 factorizing:1 whose:5 reissner:2 under:25 chirally:1 summarizes:1 conjecture:2 rise:2 every:3 encounter:2 solution:5 convenience:1 vector:45 indices:5 hesse:7 degeneracy:8 jhep:12 force:1 consistent:8 direct:1 approximation:11 second:13 maloney:1 even:2 established:3 dr2:2 above:5 frank:1 new:13 consisting:1 simultaneously:1 notions:1 wrapping:10 equals:13 here:25 supermultiplets:15 logarithmic:2 κs:6 obtained:5 suitably:1 study:2 changed:1 completely:1 stressed:2 adopting:1 fourier:1 changes:2 appropriately:2 classification:1 spinoza:1 total:2 unit:1 derivatives:13 negative:1 discrepancies:1 therefore:15 type:3 lightcone:1 hole:44 must:12 kraus:1 fµν:9 theories:7 obstacle:1 example:4 subtleties:1 indicated:2 give:2 d57:1 generically:1 involve:2 indicates:2 cecotti:1 reviewing:1 degenerate:2 verlinde:3 linearized:2 end:1 verify:3 feature:4 recovers:2 how:5 ordinary:1 fourdimensional:1 classifying:1 description:13 transforming:1 proach:1 after:1 demanding:1 microstate:3 law:9 constants:6 ooguri:2 bekenstein:2 b456:1 third:2 chern:4 enter:1 order:11 interpretation:3 osv:1 over:15 vary:1 satisfies:1 before:5 exhibits:1 better:1 fij:3 cft2:1 maximal:1 eventually:2 them:3 affected:1 combination:3 break:1 they:23 singularity:1 represents:1 netherlands:1 d49:1 d48:1 each:3 higher:19 classifies:1 side:9 lifted:1 series:1 magneto:1 principles:1 semiclassical:3 carry:6 literature:4 restricted:3 crucial:3 content:1 re:2 magnetostatic:1 reader:4 nontrivially:1 sympletic:1 linear:7 free:8 standard:4 proportionality:2 corrects:1 degeneracies:6 chiral:13 r2:5 sahoo:1 behrndt:1 ds2:4 viewing:1 incorporated:2 signature:1 corrections:15 already:8 features:2 subtlety:1 thereof:2 restrict:2 adopted:2 another:4 dedekind:3 indicate:1 holten:1 needed:1 zeros:2 variational:5 collapse:1 subleading:9 somewhat:1 covariantly:1 rate:1 matter:4 classes:3 tion:3 powers:3 minus:2 enhancement:1 fashion:1 rewrite:1 dθ2:2 b488:1 seem:3 unaffected:1 strength:4 graviphotons:3 convenient:3 latter:9 responsible:1 absorbed:1 reparametrization:1 shall:3 object:6 involving:1 observation:2 partition:16 inferred:1 yang:1 principle:13 abj:1 selected:1 supermultiplet:14 wµ:4 gauge:42 solutions:22 calculable:1 d9:1 subtle:4 analogue:1 electro:1 proposed:2 spite:1 situations:2 explain:5 topological:11 integrate:1 constant:19 do:7 establishes:1 klein:3 de:30 dc:1 da:2 dx:3 dy:2 unfortunately:1 nicely:2 fields:86 patch:1 twice:2 clarified:1 depends:11 electrostatic:2 radius:4 result:21 dµ:3 clarifies:1 tensor:16 supergravity:31 symmetric:6 saddlepoint:1 c2a:6 discovers:1 conceptual:1 d52:1 d53:2 approach:2 discovery:1 preserve:2 accord:1 terms:52 weak:1 however:21 residual:3 huang:1 topology:3 suggested:1 received:1 against:1 contribution:5 genus:1 confronted:3 very:3 factorize:1 trust:1 basis:6 chirality:2 three:7 been:12 much:3 interest:3 frt:1 expected:4 helicities:2 life:1 supersymmetric:19 quantities:8 rescalings:2 nonholomorphic:5 spin:1 manifolds:1 applied:3 exception:3 originate:3 remaining:3 aim:1 euclidean:1 near:6 suppose:1 intas:1 applies:1 leaves:1 iy:1 seven:1 spacelike:1 played:1 ip:1 iu:1 ij:14 im:5 exterior:1 interacts:1 containing:2 suggest:1 make:4 complex:18 quant:1 bekensteinhawking:1 dimensionless:1 several:2 isometries:2 nij:2 independent:11 hand:10 potentials:4 normalization:1 cycle:12 suitable:1 shortly:2 scenario:2 spacetime:1 b255:1 contact:1 dφi:1 spencer:1 left:9 just:3 attractor:38 newton:2 rotated:1 denef:2 homogeneity:4 assigned:2 identify:1 transforms:11 spherically:4 rotates:1 yet:1 previous:3 instance:8 regarded:5 character:1 proeyen:3 belongs:2 easy:1 apart:1 iυ:1 noether:1 rescaled:1 explained:2 disagreement:1 possible:14 possibly:1 indicative:1 background:8 unique:1 disadvantage:1 strengths:13 appearing:1 unnecessary:1 specific:2 bps:52 arbitrary:5 b478:1 dualities:1 successfully:1 escape:1 translates:1 chaudhuri:1 confusing:1 electromagnetic:1 comments:1 linearly:3 indication:1 dropped:1 compactifications:6 substituted:1 substitution:2 properties:1 peet:1 proceed:1 chapter:1 plus:1 horizon:46 presence:9 maxwell:4 bound:3 down:2 right:12 wrap:1 wν:2 fortsch:1 familiarize:1 vafa:4 transform:13 class:9 way:9 was:26 ωij:1 lowest:3 form:23 overcounting:1 denoting:1 encodes:1 urg:1 encoded:9 absent:1 compactification:2 inside:2 welldefined:1 tseytlin:1 heterotic:13 gaiotto:2 shih:1 moore:4 lowering:1 homogenous:1 evidence:1 conserved:1 exist:5 dθ:2 constructed:1 no:14 whereas:5 generally:3 vanishes:4 handed:1 interested:3 role:5 papers:1 test:3 intend:1 a10:1 models:4 preceding:1 russo:1 longer:5 assume:2 dυ:1 dσ:2 together:3 dρ:1 factorizes:1 χi:7 time:24 laws:2 remarkable:1 roo:1 global:2 integration:10 leads:11 mild:1 dϕ2:2 inverse:7 depend:14 finally:6 analogous:1 circumstances:1 eliminate:2 string:35 geometrical:1 emphasized:1 exact:2 riemann:1 presented:2 did:2 turns:8 discrete:1 εkl:4 work:6 findings:1 dealing:9 sign:1 substitute:1 appear:7 axes:1 uniform:1 b440:1 elucidate:1 satisfy:3 trivedi:1 understanding:1 tangent:1 groups:1 alone:1 along:2 appears:1 change:3 institute:2 studied:1 usually:5 conveniently:1 myers:1 extra:4 ipi:3 prefer:1 planck:3 d72:1 d70:1 prove:1 covariant:8 positive:5 rasing:1 predictions:2 gibbons:2 selfdual:3 coalesce:1 live:1 explicitly:2 black:107 theoretical:1 introducing:2 duality:32 acceptable:2 refrain:2 virtue:1 olive:1 cases:2 insights:2 logarithm:3 rotational:1 dualization:1 yji:1 originally:1 oscillator:1 modified:2 reviews:1 values:14 following:11 cab:1 expanding:3 choice:2 dxj:1 dxi:1 allowed:1 legendre:12 counting:3 requirements:1 discussion:3 write:2 antiholomorphic:2 pure:2 parameter:2 product:7 may:15 applications:1 representations:1 data:1 grow:1 stress:2 natural:2 sectors:1 sp:4 explicit:7 su:6 so:27 representation:7 typical:1 acts:3 subsections:1 indeed:10 mainly:2 course:6 hypermultiplets:2 statistical:2 still:1 derive:1 group:8 thank:1 interesting:1 tori:1 coordinates:4 forms:12 ωkl:1 correspondence:4 non:21 introduce:3 half:2 now:11 discuss:6 term:18 name:1 realistic:1 cusps:1 entirely:1 quarter:2 spinor:4 square:9 ei:11 kang:1 gaussian:1 conventions:1 jena:1 owing:2 eu:1 emerges:1 shown:4 space:39 furthermore:2 lagrangian:21 cancels:2 replacing:1 contained:5 thermodynamic:1 formula:7 correct:1 shows:1 earlier:4 theory:44 quite:2 complicated:1 fixed:11 derivation:4 impose:2 motion:2 turn:2 place:3 massive:3 rewrites:1 b451:1 first:19 origin:1 xi:5 symmetry:15 striking:1 variables:10 moduli:11 directly:4 comprises:1 impossible:1 angular:1 size:2 compensator:2 given:11 necessarily:6 yin:3 yij:1 physically:2 types:2 gives:1 schwarzschild:4 continuous:1 accurately:1 than:12 coefficients:1 effective:20 require:1 cardy:1 future:1 were:1 decompose:2 bilinears:3 generality:1 topics:1 argument:1 winding:3 say:2 any:7 ideas:2 note:19 potential:10 take:7 timelike:2 interior:2 coincide:2 smicro:1 modulus:2 multiple:2 normal:2 projectively:1 formulae:4 reducible:2 shortdistance:1 xµ:2 especially:1 surprising:2 later:4 ferrara:3 quantity:6 show:3 spaces:5 inconsistent:1 homology:4 ratio:1 ensembles:1 daily:1 state:3 analytic:1 only:24 going:1 threefold:2 reducibility:1 normalizations:2 contracts:1 straightforwardly:2 cannot:2 progress:1 bardeen:1 regarding:1 yield:2 naked:1 2πh:1 φdµ:1 discussing:2 ignored:1 ricci:4 imposing:4 namely:6 existence:3 wonder:1 satisfying:1 eigenfunctions:1 harvey:2 review:1 definite:1 label:1 enough:1 between:16 multiplied:1 εik:1 εij:3 killing:3 concentrate:3 lopes:2 suppressed:3 many:4 region:3 according:10 contract:1 called:13 instanton:1 embedding:1 comm:1 expression:17 characterization:1 superfield:10 anti:5 lagrange:1 ately:1 moreover:3 branes:4 considering:7 submanifold:3 west:1 invert:1 locally:2 dyons:2 dtdr:1 enable:1 restrictions:1 fortschr:1 observe:1 spirit:1 those:5 case:25 laplace:5 situation:7 conformal:6 strominger:7 coupled:4 metric:7 ivi:1 discrepancy:1 couples:1 superconformal:9 different:5 formulations:1 same:11 poincar:4 shifts:6 verifies:1 arguments:5 physical:5 extended:6 siegel:1 invariance:10 electromagnetism:1 modes:4 charges:43 kallosh:6 without:5 components:15 coordinate:2 dimension:2 b193:1 manifold:3 when:27 actions:3 aspect:2 multiplet:15 captured:2 generator:3 seems:4 rµνρσ:1 priori:1 treatment:1 extensive:1 momentum:6 real:16 aspects:3 around:3 rules:2 multiplets:15 period:1 early:1 using:2 mod:1 identifying:1 reduces:1 either:5 integrals:1 tower:1 stationary:3 reduced:8 cabc:8 shortcoming:1 suppl:2 cr:1 matching:2 nonzero:2 provided:5 dimensions:13 decomposition:1 majorana:1 power:2 sixth:1 equivalent:4 eiπ:1 fivebrane:2 refers:2 comparison:1 central:6 discussed:14 generated:1 practical:1 yau:5 act:1 mixed:5 discusses:1 sensitively:1 youm:1 recaptured:1 image:1 references:1 inverting:1 determine:3 einstein:7 elementary:1 conceptually:1 spinors:3 weight:1 hep:50 log:6 area:24 assumed:2 there:25 b500:1 start:2 low:2 ortin:1 assumes:1 holomorphically:1 complete:1 aµ:7 applying:1 embedded:2 minkowski:1 ωi:5 dφ:1 ωk:1 submanifolds:2 ωa:5 ωc:1 ωb:1 b437:1 obtains:6 strongly:1 ab:6 certain:5 describe:5 general:15 ap:1 governed:1 formulation:8 again:5 stationarity:1 field:81 valid:1 einsteinhilbert:1 spatial:8 massless:12 deviation:1 briefly:1 ads2:3 ads3:1 deriving:1 important:4 included:1 dϕ:2 mass:13 misnomer:1 original:7 represent:1 consider:10 lack:1 abij:1 scalar:16 d7:1 follow:3 iizuka:1 particles:1 equivalence:1 tr:4 preserved:1 th:50 iui:1 b182:1 belonging:6 amplitudes:1 straightforward:3 b184:1 far:5 conjectured:2 witten:1 ultraviolet:1 fab:5 difference:1 condition:4 hamiltonian:1 evaluation:2 list:1 applicable:1 large:15 small:6 periodicity:6 past:1 zero:4 perspective:1 further:7 canonical:2 what:6 abi:1 section:24 brief:2 version:3 fractional:2 solitonic:1 full:9 component:3 behaviour:2 modular:3 graviphoton:6 strong:3 equations:42 antisymmetric:1 allows:1 wilsonian:2 experience:1 periodic:1 higherderivative:1 action:23 requiring:2 establish:1 readily:1 gravitini:3 conventional:2 takes:12 gravitino:2 contains:6 charge:15 nucl:15 sitter:1 taken:8 more:14 flat:4 instantons:1 particular:9 known:9 keeping:3 quantized:1 recall:1 equation:2 det:2 remain:4 states:28 sphere:3 numbers:11 sense:1 lykken:1 needs:1 rather:7 breaking:1 larsen:1 ensemble:2 simplicity:2 algebra:9 derived:6 reflect:3 fa:1 fe:10 fi:28 derives:1 concentrating:1 interpolations:2 nearhorizon:2 kaluza:3 perhaps:1 specifying:1 hierarchy:1 soon:1 cardoso:10 through:1 y0:3 kinetic:3 suffer:1 excitations:2 its:14 roots:1 nordstrom:2 energies:2 microstates:4 conjugation:2 actually:2 absence:6 microscopic:16 might:1 deformation:1 supersymmetry:25 yi:6 good:1 return:3 framework:1 rank:4 easily:4 φk:4 goldstein:1 fully:4 level:3 fυ:3 found:6 2n:4 2i:2 characterized:4 referred:1 formulate:1 energy:10 idea:1 expect:5 quantum:1 beyond:4 event:3 subdeterminants:1 since:5 induces:1 denotes:9 denoted:5 induced:1 issue:4 occurs:1 reason:4 put:1 beginning:1 generate:1 definition:4 alluded:1 integra:1 integrand:2 relate:1 thereafter:1 number:16 done:1 construct:2 differ:1 temperature:2 introduction:3 leading:8 interact:3 least:3 assumption:2 calculations:1 dt2:2 shifted:1 holomorphic:22 relationship:2 part:8 consult:1 off:7 determines:1 horizons:2 determined:2 saueressig:2 fˆ:5 offshell:1 nonabelian:1 conjugate:5 lie:1 built:1 depending:3 internal:7 generalized:1 ancillary:1 unconstrained:1 lauwers:1 play:4 towards:1 electric:25 most:7 mohaupt:9 nothing:1 measured:1 deviations:2 hypermultiplet:1 clear:9 saturate:2 cover:1 kl:4 exp:13 physics:2 sector:7 thomas:1 phenomenon:3 relation:10 find:2 parameters:1 justice:1 distributed:1 subsection:8 captures:1 circle:2 abelian:7 notation:1 dependent:5 express:1 valuable:1 combinations:2 arxiv:1 factorization:1 collaborations:1 minasian:1 doublet:3 set:1 dilatonic:3 achieved:1 calabi:5 collectively:1 see:6 descriptions:3 sen:6 theoretic:5 contour:3 cutoffs:1 pictures:1 uα:3 various:10 multiples:2 complementary:1 attention:2 analogues:1 vanishing:3 distinguish:1 both:8 last:2 mrtn:2 pioline:2 connection:3 symplectic:1 context:9 perturbative:3 finds:2 reside:1 point:28 simple:1 lagrangians:10 corresponds:2 dimensional:23 mahapatra:2 simply:4 described:11 transformations:7 thermodynamics:4 due:5 pb:5 pc:5 reduction:1 pa:14 pi:23 lett:6 refered:2 partly:1 understand:2 func:1 p2:7 attractors:2 p0:4 p1:3 ǫj:1 reliable:1 expanded:1 evaluated:3 while:4 replaced:3 reliably:1 evaluates:1 couplings:3 unitary:1 encountered:1 reads:2 itself:4 triple:2 vanish:4 b484:1 lengthy:1 righthand:1 grant:1 belong:3 modification:2 resulting:5 interpolation:3 kaluzaklein:1 used:4 comprehensive:1 moment:3 moving:8 purpose:2 recent:3 lower:1 analysis:6 obviously:8 consistency:1 exponentials:1 gaillard:1 comprise:2 λx:1 boer:1 intervals:1 alternative:1 input:1 transformation:7 couple:3 entangled:1 integer:5 modifications:1 imposed:1 follows:11 adiabatic:1 ηab:4 manifest:2 separately:1 imposes:2 yields:6 essential:2 often:6 some:20 understood:2 examples:1 oscillations:2 ourselves:2 scale:9 describing:1 superfields:7 per:3 backward:1 lattice:2 tends:2 proc:2 varying:2 run:1 agreement:2 restrictive:1 ztop:1 hilbert:3 constrains:1 integers:2 constraint:2 completing:1 extensions:1 2iω:1 consequently:3 into:28 within:1 integral:11 eπ:10 appropriate:9 primarily:1 proportional:17 behaving:1 eleven:3 placing:1 question:2 specifically:1 sections:1 elsewhere:1 governs:1 line:5 considerable:1 consist:1 2πi:1 characteristic:2 up:4 us:7 ui:1 sum:8 fluctuations:1 similar:6 torus:3 sometimes:1 associated:23 defined:24 coincides:5 specified:1 single:2 defines:4 grt:1 multipliers:1 rewriting:1 application:3 points:3 dxµ:1 arithmetic:1 draw:1 generates:2 calculating:1 meaning:2 dχi:1 sides:1 structure:1 implies:6 holes:63 calculates:1 implied:1 requires:4 having:1 gs:6 gr:3 jatkar:1 results:12 eds:1 gn:1 contributions:5 compact:1 b383:1 bivector:1 superspace:3 concerned:1 dijkgraaf:2 contours:3 stable:1 include:2 continues:1 valued:4 redefinition:3 infrared:1 notes:2 try:1 interpolating:1 manifestly:5 refer:10 noted:3 configurations:3 smaller:1 carter:1 sin2:2 imply:2 substituting:4 index:2 giving:2 expressed:4 henceforth:1 retains:1 expresses:2 modded:1 funtion:1 led:1 degree:5 leh:1 respectively:8 explore:1 objects:2 δωi:1 making:1 deduced:1 convert:1 larger:2 leaving:1 products:1 makes:3 involves:2 formulated:1 scales:3 apr:1 maldacena:1 manschot:1 wit:26 apply:2 use:10 asymptotic:2 commun:3 remains:5 chl:3 next:1 few:1 ust:1 δgµν:1 themselves:5 formally:2 becomes:1 factor:9 carrying:2 iia:2 account:4 integrating:3 gabriel:2 saddle:10 obvious:1 closing:1 performed:2 calculation:6 high:1 lorentz:5 tab:13 dk:2 rescaling:2 dilaton:11 holds:2 located:1 instead:1 sin:3 multiplication:1 fρσ:1 renormalizability:1 realized:2 purely:2 light:1 correspond:8 element:2 extremal:8 gravitons:1 realizes:1 subsequently:5 gµν:5 six:1 saturated:1 interpreted:1 cambridge:1 including:3 mentioned:3 converting:1 facilitates:2 chosen:1 masses:1 relativity:2 degrees:23 choose:4 derivative:14 dyonic:2 setting:1 fourth:1 material:1 graviton:1 rotation:3 realize:2 betti:2 university:1 identified:1 accompanied:1 homogeneous:2 weyl:19 related:24 constitute:3 static:4 measure:9 supersymmetries:6 our:2 special:3 out:14 matrix:4 aside:1 integrates:1 rev:14 socalled:1 lecture:1 integrated:2 math:5 interactions:14 retrieved:1 approaches:2 interaction:1 geometry:9 could:2 times:3 ahler:1 length:1 hence:9 quadratically:3 cy3:3 manuscript:1 describes:6 elevendimensional:1 rightmoving:1 precisely:8 extremizing:1 revealed:1 system:2 relations:1 their:19 fermions:4 wrapped:8 bergshoeff:2 shell:8 acquire:1 systematize:1 automorphic:1 distinguishes:1 inversely:1 fermionic:2 exhibit:6 symmetries:8 qˆ0:1 need:4 constrained:1 clearly:3 viewed:1 studying:2 mills:1 gravity:10 jacobson:1 decomposing:1 concerns:5 schematically:1 subject:6 calculus:2 lectures:2 definitions:1 why:2 exponent:2 parametrize:3 subtracted:1 consequences:2 fact:19 violation:1 supported:1 rotating:1 bring:1 trivial:5 agrees:1 q1:3 q0:8 q2:1 based:25 should:13 bernard:1 local:10 achieve:1 means:3 likely:1 d50:1 ones:2 determinants:1 d54:1 comprising:1 grav:1 qa:3 qc:3 qb:2 contain:6 qi:30 cycles:6 pertains:1 view:15 2p0:1 requirement:2 modulo:1 constructing:1 exists:6 variations:5 cvetic:2 b567:1 exploited:1 pattern:1 missing:1 tend:1 written:4 identification:2 closed:3 invariant:20 boundary:3 comparable:1 tensorial:1 importance:2 dabholkar:4 2pa:1 configuration:3 tensors:6 observable:1 commenting:1 tsimpis:1 taking:2 equal:12 b245:1 eta:2 otherwise:2 wald:7 detailed:1 relevant:10 cl:3 invariances:1 cohomology:3 harmonic:9 cd:2 cy:1 diverges:2 respect:10 ct:2 εjl:1 addition:4 bianchi:5 hawking:5 compensating:5 partial:4 define:3 determinant:3 arises:2 corresponding:28 commutes:1 scalars:3 subspace:1 present:3 hockney:1 encircles:1 value:7 will:62 thus:12 dxν:1 surface:7 dual:7 compactified:4 fkl:1 generic:5 radiation:1 cross:1 φa:3 unity:2 parts:3 units:5 φi:10 finite:3 difficult:3 zumino:1 infinity:8 upon:1 parametrized:1 v1:10 v2:7 susskind:1 identity:2 supercharges:1 center:2 nevertheless:1 well:14 utrecht:2 sets:1 position:2 arising:1 subgroup:3 spherical:1 less:2 obtain:2 underlying:3 macroscopic:20 adv:1 conjugates:1 density:3 reasons:5 identical:1 extremization:1 five:5 intersection:4 b379:1 loss:1 like:2 δy:3 δv:1 alternatively:2 δs:1 δq:2 δm:2 δj:1 become:6 δe:1 δa:1 because:17 classical:8 growth:1 choosing:1 iyer:1 happens:1 lead:3 avoid:1 does:12 assuming:3 intersections:1 demonstrated:3 2q0:1 expansion:1 interval:3 although:4 imaginary:8 perspectives:1 about:3 carried:1 extension:2 superconformally:2 freedom:24 dependence:2 compatible:1 carries:1 introduced:3 subset:1 previously:1 guica:1 bosonic:4 van:4 additional:6 quadratic:6 fˆi:4 naturally:3 function:64 brane:12 but:30 volume:1 construction:1 coupling:10 count:3 made:4 compute:1 places:1 whether:4 wish:1 gravitational:4 smooth:1 below:1 limit:7 mechanics:1 bearing:2 prepotential:1 universal:1 contribute:2 denote:8 integervalued:1 identities:3 effected:2 functions:8 compared:2 lightlike:1 ingredients:1 detail:3 other:18 details:5 theor:1 expressible:1 ultimately:1 variation:7 cheng:1 auxiliary:5 pointlike:1 strings:4 4m:1
0704.1453.txt |@word neighbors:2 limited:1 katz:1 code:3 consider:1 chain:35 maximum:3 broaden:4 particular:1 dynamic:9 results:9 four:3 ga:4 consists:7 follow:2 remarkably:1 primer:1 contributions:2 compact:1 diffusive:1 depend:1 calculate:1 technique:1 finally:1 does:1 those:3 under:2 anharmonic:6 x00:1 gaussians:3 sound:2 very:5 activated:1 activation:1 learned:1 wave:5 electron:1 every:2 difficult:1 affect:1 difference:1 exact:3 condition:1 emery:1 leads:2 europhys:1 incoherent:17 presented:2 transmission:1 positions:8 michael:1 solution:1 vl:3 enforce:1 large:8 solved:1 observables:1 quasiperiodicity:3 equation:1 correct:1 bessel:1 neighborhood:1 disordered:1 periodicity:3 excited:1 direct:2 suffices:1 cosh:1 approximation:3 go:1 evaluated:1 further:4 dynamics:16 estimated:1 4x2:2 substitute:1 theory:1 even:2 spacetime:1 hide:1 appear:9 brackets:1 sum:8 expressed:1 uniform:1 cell:1 above:2 3b:3 3a:1 increasing:6 method:2 publications:1 edited:1 simultaneously:1 bartsch:1 degree:1 q0:3 respectively:2 j2l:1 modify:1 equals:1 here:6 understanding:1 ranges:1 asymmetry:1 les:1 separation:1 address:1 lorentzians:3 along:2 strong:2 equations:6 logarithmic:2 baron:1 obtained:2 ramaswamy:2 remarks:1 kycia:2 study:7 studied:3 steffen:1 approaches:1 ignoring:1 simultaneous:1 resulting:2 published:1 domains:1 complicated:1 fourier:10 studies:2 numerical:5 quotient:1 golden:1 limx:1 via:2 br:1 apr:1 vii:2 ls:3 marked:2 highly:1 neutrons:2 rosenfeld:1 decrease:1 translational:1 total:4 linearly:1 wang:1 derivatives:1 use:5 done:2 proceed:2 would:2 levine:2 probabilities:1 krisch:1 next:3 few:2 approach:1 therefore:3 vi:2 taken:1 means:2 theoretical:1 more:7 separated:1 introducing:1 started:1 conclusions:2 dos:7 normalized:2 varying:2 known:2 cases:2 iii:2 must:1 md:21 account:1 mag:2 science:1 setup:1 constraint:2 modified:1 remain:1 values:7 temperatures:11 following:5 making:1 averages:1 example:2 stimulating:1 fibonacci:28 nearest:3 compare:2 weaker:1 broadened:2 degenerate:1 figure:3 calculation:2 thermally:1 high:3 axis:1 keller:1 numbers:1 want:1 sharp:2 eigenfrequency:1 times:1 occur:5 absolute:1 respective:1 rays:1 end:2 decaying:1 sit:1 discussion:2 acts:1 feature:1 afc:8 regions:3 located:1 pair:1 frequencies:2 instead:1 hierarchical:1 weaken:2 parameter:2 sin:2 profile:1 de:7 chernikov:1 description:1 may:2 after:3 mapping:1 hence:3 plane:2 deviates:1 physik:1 anharmonicities:1 fits:3 computation:1 fl:7 response:2 types:2 changes:4 introduced:2 branches:14 dynamical:2 ss:1 tsai:2 spectra:1 lines:4 lost:1 si:13 cannot:1 algorithms:2 allow:1 correlation:4 hfc:22 order:8 hennion:5 origin:2 interpretation:1 quasiperiodic:4 over:8 competing:2 mainly:1 flips:30 interpreted:1 symbols:2 course:2 thermal:4 experiments:5 through:2 elevated:1 motions:3 cuts:4 existence:1 still:1 excitations:5 its:6 diagonalized:1 perfect:5 write:2 icosahedral:2 thank:1 la:2 chosen:3 interesting:2 ll:1 hanke:1 thermostat:1 ds:1 forms:2 resort:1 window:1 complex:1 systems:15 main:2 defining:1 into:2 tentatively:1 eventually:1 them:2 good:1 combination:3 numerically:1 ωll:2 finish:1 band:7 effects:1 they:10 acta:1 oxford:2 now:5 discuss:1 articles:1 term:4 several:5 indeed:1 edge:2 calvo:1 level:1 identified:1 vibrations:1 2a:1 2b:1 each:3 acoustic:1 universit:1 energetically:1 side:4 characterized:1 mean:1 lectures:1 square:1 transform:8 ee:1 series:1 energy:6 positioned:5 gaussian:10 related:2 frequency:6 static:12 interplay:1 changed:1 our:4 approximated:1 eq:10 special:3 out:2 shown:14 literature:1 matrix:1 factors:14 partners:1 furthermore:2 since:7 rev:18 ry:1 particles:23 bragg:2 investigation:1 multiply:1 hill:2 denoted:1 formula:3 ref:1 integrated:1 interchanging:1 shows:2 trajectories:5 linear:2 interactions:1 frank:1 radons:1 differ:2 weakly:2 small:10 reason:2 base:1 unwanted:1 averaging:1 put:1 org:1 beginning:1 definition:1 rearrangements:1 interaction:10 language:1 created:1 concerns:1 widths:4 transition:1 round:1 motion:4 length:3 consequence:4 eqs:7 first:3 xj:4 geisel:1 already:1 features:1 xl:8 ignored:1 feel:1 variables:1 waves:1 number:9 theoretische:1 randomized:3 smaller:1 simplified:1 fast:2 another:1 impossible:1 ring:1 clarity:1 electronic:1 summarize:1 occurrence:4 interchange:1 given:2 checked:1 temperature:29 start:3 introduction:3 data:5 interact:3 structured:1 πn:2 system:10 relations:3 heights:2 their:10 σl2:3 calculations:4 molecular:7 ranging:1 dfc:26 gives:1 urban:1 asymmetric:4 recursively:1 plus:1 short:3 x2:4 translation:1 sign:1 than:4 x4:4 center:1 distance:3 kind:1 determines:1 stinchcombe:1 double:8 intensity:3 tsutsui:1 limiting:1 lim:1 states:3 contrary:1 were:2 verlet:2 counting:1 distinguished:1 exhibit:1 motivation:1 vector:2 rainer:1 7a:4 separations:1 unchanged:2 curves:5 discussions:1 levitov:1 initialized:1 seen:4 confirms:1 any:3 ray:2 lie:1 built:2 depending:2 efficient:2 studying:1 latter:1 responsible:2 physique:2 complexity:1 note:4 extracted:2 potential:20 take:1 online:4 indexed:1 so:1 tool:1 accuracy:2 formulas:1 play:1 towards:2 normal:1 goldman:3 sl:2 phases:1 most:1 regular:1 connected:2 but:5 steinhardt:3 phase:2 analytically:1 measured:2 why:2 abe:1 kb:35 especially:1 nonlinearity:2 neighboring:3 average:11 sometimes:1 stronger:1 takeuchi:1 points:8 snapshot:1 reflections:1 exp:7 axe:1 velocity:3 left:6 section:2 findings:1 quasicrystal:1 12a:1 12b:1 show:3 supported:1 purely:1 relation:3 solutions:3 stepping:1 keywords:1 find:4 q1:1 boundaries:3 mengel:1 q2:2 ratio:2 parameters:1 less:1 distributed:1 outside:1 hyperspace:1 should:2 dubois:1 analytic:3 only:18 corresponds:2 convoluted:1 factor:42 integrate:1 equally:1 local:1 equilibrium:9 do:2 intersect:1 notation:3 iωt:9 dependent:1 broader:1 simplest:1 ones:4 dx:1 exchanges:1 during:3 dt:11 x0l:2 boundary:1 becomes:1 runs:3 fields:1 arxiv:1 microscopy:1 consisting:1 qa:3 investigate:1 saturates:1 hydrodynamic:1 wish:1 analytical:7 including:1 fixed:4 inside:2 offset:1 remains:1 available:1 set:4 clearly:1 reference:4 encourages:1 correlations:1 lett:12 flip:13 observed:6 see:4 sec:8 result:7 w0:1 suited:1 2πn:5 analog:1 lee:1 closer:1 ergodicity:1 curvatures:1 interacting:1 ul:3 phonons:5 review:1 exchange:1 artificial:1 symmetric:2 engel:2 various:2 jth:1 between:4 invariant:2 lowered:1 previous:1 conditions:2 choose:1 comparable:1 recently:1 creating:1 relative:1 missing:1 initially:1 weak:2 however:3 p2j:1 jn:1 cut:1 intermetallic:1 recent:1 rapidly:2 atoms:2 suppressed:1 problem:1 inset:1 both:6 cos:1 2n:1 σl:1 many:3 tmax:3 decay:1 according:3 called:2 stuttgart:3 involve:1 und:1 context:1 bumps:2 quite:1 adapted:1 experimental:2 arbitrarily:1 minima:5 gratias:1 sinh:1 point:3 simple:4 connection:2 deviating:1 harmonic:18 height:1 dimensional:11 taylor:1 iterations:1 sequences:1 cs:2 associated:1 broadens:1 7b:3 broadening:8 configuration:2 described:1 publishing:1 basis:1 addition:1 locally:1 due:7 been:11 mark:2 t2:1 much:2 slowly:3 change:9 pj:1 steurer:1 fig:42 interparticle:3 direction:1 adopted:1 controlled:1 deeper:1 linearity:1 concerning:2 kronm:1 precision:3 output:2 coherent:22 understand:1 external:1 general:3 ott:1 present:3 matter:4 case:9 multi:5 lubensky:3 look:2 reciprocal:6 pacs:1 solid:2 originate:1 examine:1 value:5 choices:1 will:4 replaced:1 probability:2 behavior:3 freely:1 investigating:2 region:1 identical:5 larger:5 approximate:1 allows:2 smoothes:1 thus:2 non:3 iv:3 ii:3 bias:1 cond:1 partner:1 vanish:2 situ:1 disappear:1 acknowledgments:1 different:15 etc:2 higherdimensional:1 make:1 progressing:1 cross:2 same:10 orders:1 randomization:2 periodic:12 split:2 discussed:2 finite:3 neutron:5 higher:4 independent:1 used:7 peaks:10 optic:2 collective:1 assist:1 effect:3 ωls:2 iop:1 running:1 edges:7 introduce:1 necessity:1 potentials:12 hans:1 changing:1 invariance:1 totally:1 guyot:1 destruction:1 lower:1 narrow:2 off:1 modes:6 gaps:11 onedimensional:2 well:14 hafner:1 phil:2 patterns:1 solids:3 materials:1 anharmonicity:4 exponentials:1 position:3 model:15 dimension:1 usual:2 distances:16 fourfold:1 able:1 obtain:1 rest:1 detail:1 shape:6 identify:1 atomic:4 aspect:1 using:2 uller:1 scattering:7 bak:1 multiples:2 convolution:2 looks:1 inelastic:2 hills:2 density:10 decayed:1 conclude:1 seems:1 except:3 exclusively:1 lattice:7 ostlund:1 internal:2 treatment:1 versa:1 janot:4 mod:1 5a:1 transformation:1 momentum:2 5b:2 angewandte:1 explained:1 trebin:2 around:2 lacking:1 bands:2 sums:2 possible:8 period:2 test:2 increases:4 makes:1 background:1 integer:3 part:1 color:4 u0:1 displaced:1 janssen:1 like:3 particle:27 alternatively:3 signal:1 velocities:1 howells:1 noted:1 thorpe:1 mirror:1 yields:2 either:3 integrals:1 follows:2 resolved:1 become:1 disorder:1 reduced:1 fulfil:1 indications:1 because:1 methods:1 sequence:5 some:1 sensitive:1 self:2 lipp:1 specified:1 guess:1 lorentzian:9 generates:1 scale:3 dense:3 calculating:2 lead:1 broad:2 avoid:2 though:1 integration:1 per:2 magnitude:1 unit:1 assuming:1 prog:1 compute:1 propagating:1 chains:7 socolar:1 refer:1 measuring:1 process:1 indicated:2 deflation:1 jumps:3 agreement:1 expansion:2 interval:1 cryst:3 step:2 although:4 found:5 similarity:1 drawn:1 properties:1 comparison:4 about:4 central:1 carried:1 quasicrystals:12 anomalous:1 dependence:4 simulation:22 sake:1 range:7 quasielastic:4 greatly:1 neighbor:3 germany:1 2x2:4 peak:12 therein:2 artefact:1 tsim:8 image:1 within:1 integral:2 three:7 lies:2 right:2 references:2 determine:1 elementary:3 proportional:2 quickly:1 often:1 theor:1 statistics:1 institut:1 additional:2 elastic:1 comparing:1 intrinsic:1 there:14 phason:51 long:6 smoothing:1 dispersion:4 width:11 mori:1 low:8 way:4 editions:1 was:3 suzuki:1 cancel:1 combined:1 function:17 considerably:1 medium:1 elsewhere:1 form:5 enough:2 great:1 brand:1 bristol:1 amongst:1 pfaffenwaldring:1 link:1 gain:1 delta:3 line:5 uni:1 barrio:1 made:1 arranged:2 understood:1 characteristic:1 mat:1 vice:1 up:2 us:5 ur:1 work:1 placed:1 below:1 decays:1 limit:3 shibata:1 toner:2 autocorrelation:3 yoshida:1 distribution:1 similar:4 calculated:4 nature:1 strongly:2 required:1 ordered:1 defined:4 curve:3 aj:8 influence:8 denote:3 single:5 propagation:1 exist:2 interchanged:1 simulations:11 crystals:1 floating:1 hamiltonian:1 operation:1 physical:1 again:1 functions:9 compared:2 investigated:1 weakened:1 no:9 dashed:2 whereas:1 when:2 depth:1 dispersionless:2 field:2 other:6 role:1 details:2 branch:8 spatial:1 hpc:25 ns:1 conclusion:3 deviation:1 area:1 superposition:3 excitation:2 condens:4 centered:2 uniformly:1 a0:3 important:1 allowing:1 additionally:1 vectors:2 gap:2 structure:59 ωss:2 correlated:1 regime:1 faster:2 algorithm:3 dω:3 assume:1 resolution:1 space:6 diffraction:3 eigenfrequencies:5 together:1 notion:1 phonon:34 time:19 qualitatively:1 determination:2 validation:1 starting:5 original:1
0704.1455.txt |@word urbana:1 consider:4 illustrates:1 results:3 leads:1 entropy:4 edu:3 poorly:1 depend:1 calculate:1 aaron:1 does:1 γm:4 under:6 analogous:1 string:13 straightforward:2 zhang:1 frequencies:1 rise:1 focus:2 corollary:1 every:3 condition:1 school:1 turns:1 roblem:1 correct:2 large:8 discrete:1 science:1 viswanath:2 says:1 consistent:12 estimates:1 direct:1 approximation:1 rate:1 further:1 egime:1 targets:1 even:1 appear:5 section:6 expressed:1 uniform:1 version:1 3n:1 above:1 sup:1 new:1 obviating:1 equals:1 here:1 γkm:10 address:1 strong:1 equations:1 appears:2 change:1 azuma:1 parameters:1 suitably:1 study:3 studied:1 reason:1 denominator:1 suggests:2 symp:1 resulting:2 santhanam:3 orlitsky:4 classification:2 apr:1 problematic:1 namely:1 vii:2 summation:1 total:4 linearly:3 ziv:2 use:5 asymptotic:1 would:4 prove:2 probabilities:10 positive:1 finally:1 next:5 comparing:1 call:1 therefore:1 type:4 theoretical:1 more:3 formally:1 training:1 cantelli:1 normalized:2 particular:3 known:2 kulkarni:3 cardinality:1 iii:1 must:2 springer:1 ed:1 recall:2 setup:4 work:1 radon:1 following:3 trans:2 example:5 proof:6 challenging:2 nikodym:1 bennett:1 numbers:1 sense:1 occur:1 verlag:1 normalize:1 information:1 goal:3 provide:1 verify:1 discussion:1 holds:1 feature:1 species:1 write:1 answer:1 instead:2 npn:14 turing:19 applications:3 wrong:1 inst:1 law:1 data:3 grow:3 constants:2 natural:7 lemmas:1 element:1 so:2 gutman:2 asserts:1 definitions:1 order:2 restriction:1 words:1 indeed:6 over:2 vary:2 expects:1 uring:2 symbols:11 course:1 paper:1 statistical:1 ntroduction:1 ieee:4 its:2 somewhere:1 actually:1 better:1 estimating:7 derivative:1 might:2 overcome:1 yi:2 eventually:1 them:1 good:20 motivated:1 thereby:1 seeking:1 ya:1 introduce:3 scaling:5 they:1 optimal:3 now:3 discuss:1 structural:1 term:3 several:1 always:1 university:3 loosely:1 labeling:1 grows:1 possibilities:1 inequality:2 each:6 xℓ:1 2n:2 classifier:1 2k:4 ee:1 there:1 idea:2 related:6 literature:3 expect:2 measure:1 our:8 happen:1 event:1 out:1 shown:1 space:1 since:4 denotes:1 contained:1 performs:1 max:4 denoted:2 formula:3 rn:3 ϕk:20 occurs:1 math:1 shows:3 ece:3 theory:2 roofs:1 quite:1 approaches:2 complicated:1 york:1 estimate:7 likelihood:1 universally:3 compression:6 uiuc:1 language:1 could:1 times:10 turn:2 length:4 place:1 sanjeev:1 view:1 assign:1 frequent:1 first:5 xk:12 xi:9 xn:3 probability:51 omitted:1 variables:1 number:7 done:1 impossible:1 size:5 given:7 exists:1 scand:1 unknown:2 approximately:2 assumption:1 observations:1 statement:1 realization:1 scheme:4 final:1 speaking:1 too:2 kλk:1 behind:1 continuous:2 took:1 alphabets:2 july:1 believe:1 population:2 relative:1 showed:1 princeton:2 second:2 limiting:1 determined:2 kth:1 esting:1 gives:1 say:1 need:1 concentration:1 nqn:2 any:7 viewed:3 zero:2 min:1 convenient:2 able:1 converges:8 note:9 instance:1 empirically:2 performance:4 coincide:1 exactly:1 multiple:2 shall:4 measures:6 most:1 involving:1 letter:2 representation:1 cˆk:2 deviations:1 observation:4 average:1 stronger:1 km:4 traditional:2 points:1 exp:14 sum:5 fact:3 quantity:3 klaassen:2 show:7 detection:1 random:1 converge:1 threshold:1 substituting:1 find:2 based:1 dividing:1 negligible:1 should:2 lemma:6 only:7 developed:1 oct:1 triangle:1 notation:1 means:2 champaign:1 foremost:1 unimportant:1 closely:1 invariant:1 dp:16 dq:2 aep:2 regarding:1 arxiv:1 razmadze:1 statist:1 dpn:4 fixed:6 valid:1 qn:20 set:3 computed:1 reference:2 testing:5 observed:17 see:3 individual:1 result:5 close:1 nonstandard:1 techniques:2 fails:1 satisfying:2 exponent:1 consistency:2 away:2 currently:1 tend:1 enough:2 unable:1 various:1 correctly:1 between:1 drawn:8 geometric:3 approach:8 available:1 statistically:1 importance:1 however:6 hypothesis:6 key:2 distribution:21 both:4 last:1 many:3 according:6 improves:1 context:2 estimation:8 ck:1 among:2 relevant:1 simple:1 asymptotically:4 2nd:1 simply:2 sequences:4 cs:1 respect:1 pr:1 pp:8 described:1 addition:1 due:1 been:2 interest:1 basic:1 mean:4 pn:36 abstract:1 arises:1 quantities:2 observe:4 present:1 case:2 novel:2 empirical:2 value:1 will:10 zeitouni:1 suppose:3 error:1 investigating:1 property:1 dembo:1 vol:6 vi:2 thus:4 iv:2 ii:1 different:1 alphabet:7 make:4 yn:3 same:4 largest:2 finite:2 events:9 independent:2 used:2 infinity:4 assigns:4 upon:1 effect:1 hand:4 infinite:1 ormulation:1 recourse:1 nevertheless:1 well:3 analysis:1 obviously:2 patterns:1 without:3 lim:12 model:8 drawing:1 wagner:3 assigned:1 biometrika:1 underlying:9 immediately:1 λk:7 previous:1 heuristic:1 cornell:2 eferences:1 setting:1 theorem:20 dqn:1 remaining:1 tests:1 evaluate:1 showing:1 possible:1 test:1 unseen:1 using:7 appearing:2 sizes:1 follows:5 separately:1 yields:1 either:4 pramod:1 works:1 sketch:2 because:3 classical:4 sequence:29 absolutely:1 some:1 proper:1 altered:1 extended:1 proofs:2 nonzero:1 provided:3 ak:7 equal:1 tends:6 proc:3 limitations:1 conference:1 equipartition:1 power:1 step:1 binomial:1 although:1 permitted:1 handled:1 about:1 rare:12 theorems:1 chance:1 o:1 side:1 distinct:1 estimator:33 introduced:1 slightly:1 equally:1 letters:6 previously:1 into:1 negative:1 right:1 determine:5 statistics:2 log:45 assumed:1 strictly:1 initial:1 mar:3 smoothing:1 overestimate:1 accordingly:1 borel:1 futile:1 series:1 analyze:1 naturally:1 function:3 form:1 but:4 russian:1 true:4 he:2 hoeffding:1 glean:1 us:1 relabeling:1 limit:10 ωn:11 problem:14 similar:3 calculated:2 strongly:1 constant:1 int:1 likewise:1 universal:10 describe:1 denote:3 single:1 inf:3 distributions:5 regime:12 nh:1 again:2 codes:1 no:6 amounts:1 cˇ:19 cˆ:17 illinois:1 application:1 other:6 details:1 department:2 theor:1 arithmetic:3 poor:1 elements:2 truncate:1 symbol:6 problems:5 variation:1 generated:3 important:1 bounded:3 implies:1 assume:3 4n:1 equivalently:1 mass:1 requires:2 strings:3
0704.1456.txt |@word represent:2 katz:1 code:4 rom:1 broaden:1 particular:2 results:3 illustrated:1 c3:12 computation:1 disk:1 synthetic:7 griffin:2 depend:2 istruzione:1 vs:6 young:2 abundance:1 does:1 those:4 determinations:1 blended:3 atlas:1 analogous:1 astrof:1 cgi:2 oss:1 indicating:1 brown:3 provides:2 very:9 dell:1 choice:1 electron:2 crosses:1 worst:1 summarized:1 affect:3 difference:1 cool:3 mathis:2 leads:1 level:1 did:1 standards:2 large:1 indices:3 upper:1 smaller:1 tem:1 consistent:1 guidelines:1 estimates:1 ministero:1 literature:2 aip:1 photospheric:2 pasp:3 profiles:1 estimated:2 quite:1 soubiran:7 spectral:13 index:3 errors:7 appear:2 sun:1 selected:2 near:1 expressed:1 above:1 new:1 increasing:3 amounting:1 contrast:1 coefficient:1 dwarf:4 respectively:9 error:2 residual:3 here:1 analysed:1 ionization:3 following:8 explore:1 intercept:1 groups:1 excess:2 active:2 ratio:10 strong:1 fifteen:1 nachr:5 change:1 deduced:1 obtained:9 asiago:1 arc:1 institute:1 draconis:1 study:2 studied:1 allows:4 completely:2 example:7 significantly:3 simultaneous:1 resulting:2 contr:1 domains:1 adopting:1 suitable:1 studies:2 hydrae:1 via:2 useful:2 ratios:7 classification:1 scales:1 apr:1 photometric:1 apj:4 visible:2 decrease:1 extinction:2 research:2 elodie:17 revision:1 remains:2 positive:1 contains:1 tabulated:1 few:4 m0:1 criteria:1 taken:7 inthe:1 type:3 possible:2 more:2 accuracy:1 neglected:1 apparent:2 corrected:2 uncertain:1 bisector:1 excellent:1 cases:2 iii:2 must:2 logarithm:1 high:11 account:8 rotational:24 points:1 work:9 london:1 labeled:1 mv:1 values:9 temperatures:6 ms:22 zams:2 exceptions:1 lockwood:1 root:1 scatter:2 displayed:4 bureau:1 f5:1 give:1 calculation:1 expanding:1 suggestions:2 sample:14 performed:2 arise:1 mel:1 simple:1 absolute:2 regione:1 provide:2 unige:1 arribas:2 idl:2 chemical:1 before:2 instead:1 verlag:12 parameter:1 sin:24 modulations:1 profile:2 mas:1 express:1 galactic:1 atlas9:1 wiley:11 derived:2 containing:1 diagram:3 consequence:3 catalog:1 plane:3 fe:53 mag:2 coming:1 fits:12 italy:2 law:1 data:7 types:2 italics:1 effective:23 slightly:3 spectra:24 lines:23 element:2 coelho:2 cayrel:1 si:2 negligible:2 fundamental:1 decreasing:1 sc:9 putting:1 subsequently:1 lν:1 order:3 worsens:1 typical:1 displays:1 evolutionary:3 aforementioned:1 indeed:1 haute:1 mainly:1 endez:1 produced:1 paper:2 through:3 thesis:2 mentioned:1 suffer:1 mayor:2 warren:2 rapidly:1 thank:1 fit:7 chosen:4 masses:1 decreases:5 late:1 degrees:3 fig:22 lq:1 inaf:3 mail:1 main:5 setting:1 versus:1 them:1 good:2 affected:1 greater:1 investigated:2 bound:1 couples:1 effects:6 they:4 bressan:1 rotation:10 represents:1 inversion:1 verifying:1 always:2 university:4 identified:1 kpc:2 each:7 found:4 universit:1 calibrations:11 mean:2 domain:1 square:1 primarily:1 ed:5 energy:1 receipt:1 fr:2 related:1 eb:4 society:1 molecular:1 astrophysical:4 measure:3 our:12 ev:2 eq:2 out:5 shown:6 flower:2 matrix:1 3rd:1 rs:1 vch:11 open:1 furthermore:1 since:2 synthesizing:1 increase:3 behaviours:1 investigation:1 parallax:1 performs:1 rc:14 squares:1 evaluation:1 plotting:1 shows:2 model:1 after:1 linear:6 retrieved:1 differ:1 free:1 standard:2 small:6 reason:1 york:1 put:1 org:9 estimate:1 idl2:1 pairs:9 saha:1 language:1 english:1 monograph:1 appearing:1 4th:1 incorporated:1 corrections:2 onto:2 5th:1 first:2 starspot:1 already:5 rms:16 relate:2 powerful:1 number:2 will:1 specifically:1 directly:1 electronic:2 angular:1 given:3 temperature:57 strasbourg:1 their:10 introduction:1 top:1 behaves:1 moderately:1 hoffleit:2 relations:1 redistributing:1 intermediate:1 master:1 listed:7 iau:2 perfectly:1 structures:1 ranging:2 weinheim:11 obswww:1 miur:1 way:2 alonso:6 tool:1 continuous:5 part:1 favorable:1 tempera:1 than:9 coefficients:7 distance:1 starspots:1 observatory:1 rate:2 final:1 matter:1 determined:1 intensities:1 iron:1 were:1 interactive:1 lowest:1 sp:1 acknowledged:1 correction:1 spectrum:3 dash:1 gia:1 tables:1 allen:3 seem:1 any:5 rsi:1 strength:1 depending:3 latter:1 sicilia:1 gravity:15 instance:1 potential:3 saturation:2 take:1 finding:1 htx:1 observatoire:1 circles:1 even:1 opposite:2 russel:1 sets:1 reach:1 systems:1 parallaxes:1 depths:4 most:4 boltzmann:1 bolometric:3 printed:1 pair:4 grateful:1 acknowledgements:1 measured:2 class:1 value:1 doi:2 don:1 observation:1 considered:4 average:4 later:1 behaviour:4 km:23 perinotto:2 accounted:1 diagnostics:2 velocity:12 physics:1 fact:2 slope:3 atmosphere:1 selection:1 intensity:4 show:3 henry:1 biazzo:16 supported:1 tures:1 anyway:2 convolves:1 infrared:1 rotating:4 bright:1 relation:4 cds:1 degraded:1 find:4 fifth:1 giant:25 slow:1 based:3 knowledge:1 parameters:6 situations:1 catalogue:1 should:1 spectrographs:1 only:6 explicitly:1 volts:1 identification:1 padova:1 prugniel:5 columns:2 hertzsprung:1 giants:3 do:2 over:1 means:5 dependent:1 compiled:1 de:6 riv:1 tens:1 nearly:3 words:1 altogether:1 dt:15 dr:13 routine:1 gray:25 fekel:2 continuum:3 luminosity:5 arxiv:1 method:1 rotationally:4 vizier:1 roger:2 frequency:1 fixed:1 characteristics:2 faculae:1 set:3 computed:3 sensitivity:10 relative:1 ara:1 see:1 individual:3 enhanced:1 operated:1 close:2 observed:2 techniques:1 detect:2 please:1 its:3 µm:1 case:2 written:1 smallest:1 hipparcos:2 envelopes:1 between:6 2002a:4 2002b:3 available:3 comparable:2 sampled:1 overestimates:1 weak:4 however:3 jr:1 medeiros:2 gratefully:1 key:1 fgk:1 aim:1 both:4 dates:1 catalano:6 gmbh:11 cox:2 taking:3 uncertainty:4 according:3 against:1 display:4 sensitive:3 baliunas:1 contribution:1 comes:1 nearby:1 relevant:1 co:11 cn:6 color:8 had:1 narrower:1 poly:1 cd:1 directions:1 blending:1 polynomial:7 table:9 bernacca:2 broadening:17 described:1 addition:1 equations:1 acceptance:1 trademark:1 three:5 been:15 appears:1 mart:2 spread:1 slowly:1 expected:2 ph:2 improve:1 empty:2 differently:1 dots:1 atlases:2 referee:1 corresponding:2 ınez:2 quantities:2 exposed:1 precision:1 modelling:1 determination:3 representative:1 systematic:1 astron:6 catania:6 c2:12 c1:16 c0:18 present:4 reddening:2 applied:1 exception:1 atmospheric:2 mbol:1 bertelli:1 reliable:1 empirical:2 evaluated:1 cvn:1 while:5 many:1 situation:1 region:2 coolest:1 mistake:1 a20:1 bin:1 larger:1 almost:1 vi:12 strasbg:2 thus:2 site:1 surface:3 encountered:1 ii:5 examined:2 vt:2 unblended:1 frasca:6 different:13 verified:1 photospheres:1 author:1 perform:1 ohp:1 same:2 mermilliod:4 another:1 bands:1 units:1 several:6 fairly:1 used:5 http:3 kelvin:2 upon:1 effect:15 hand:1 inhomogeneities:1 isochrones:2 internal:1 potentials:1 drc:2 lower:4 least:1 center:2 programs:1 minimize:1 changes:2 no:5 well:4 analysis:4 obviously:1 residuals:2 consistency:2 position:1 moultaka:3 binaries:1 left:2 proposed:1 less:4 accurate:1 sofia:2 ldr:31 ch:1 previous:3 web:1 density:1 absorption:2 seems:1 weiss:1 reasons:1 other:9 easy:1 piskunov:1 momentum:1 real:2 acta:1 tests:1 around:3 evaluate:3 couple:2 ricerca:1 reddened:3 early:1 increases:1 wavelength:2 grid:3 tracks:3 press:2 using:3 prominent:1 atmospheres:2 necessary:2 like:1 microturbulent:1 systematically:1 follows:1 velocities:2 steps:1 fully:2 works:3 italian:2 therein:1 www:9 because:4 often:1 sequence:4 some:9 springer:1 library:1 microturbulence:2 examples:1 choosing:1 neglecting:3 savage:2 scale:4 proceeding:1 lead:1 bottom:2 measurements:2 models:1 magnitude:4 esa:3 assuming:1 simbad:1 proc:2 demonstrated:1 measuring:1 run:1 journal:9 use:5 hottest:1 stellar:15 pressure:2 symp:2 although:1 wehlau:1 kgaa:11 panel:4 comparison:2 about:7 central:1 carried:3 column:1 ranges:1 dependence:12 dependency:1 range:10 evident:3 ti:10 referred:2 consequently:1 automatically:1 cambridge:2 metallicities:1 computes:1 strassmeier:11 into:10 within:4 washington:1 interstellar:1 due:6 down:1 rice:1 appropriate:1 weighted:2 references:2 tiny:1 determine:2 france:1 teff:31 log:7 synthesized:1 cdsweb:1 inserted:1 there:1 ilovaisky:1 spots:1 plotted:2 overestimate:1 rcn:4 cats:2 low:4 stars:58 astrophysics:1 slopes:2 yrs:1 was:4 function:7 form:1 hr:3 poster:2 differences:3 analyse:1 but:2 astro:1 properly:2 athlone:1 solar:9 line:41 considerable:1 hd:2 castelli:2 made:3 kurucz:5 variations:3 up:1 us:4 below:1 converted:1 reflects:1 spectroscopy:1 demonstrate:1 distribution:1 similar:2 calculated:2 originating:1 broadened:4 constant:1 moore:3 computing:1 cover:1 influence:5 right:1 av:3 mrs:1 distributions:1 archive:4 triangles:2 ni:4 radically:1 compared:5 nm:1 dotted:2 calibration:17 dashed:3 detail:1 valid:1 department:1 conclusion:1 opacity:1 star:14 excitation:5 girardi:4 arcturus:1 preceding:1 databases:1 problems:1 variation:6 metallicity:9 important:2 tycho:1 peratures:1 astronomy:1 provence:1 ultraviolet:1 structure:1 national:2 implies:1 practically:1 age:1 required:1 together:4 chiosi:1 depth:13 text:1 resolution:8 having:1 normalized:2
0704.1457.txt |@word essay:1 represent:2 partial:1 gr:2 ceases:1 rev:3 magnetic:2 particular:3 focus:1 plenary:1 scalar:1 consists:1 remarkably:2 gl:2 contributions:1 lptens:1 consider:2 compact:2 inverse:1 depend:2 remarkable:1 superspace:1 mutatis:1 equivalence:5 contained:1 finally:1 monotonically:1 indicate:1 those:2 th:15 under:1 mutandis:1 nodes:1 must:1 eories:1 interacting:2 conjecture:3 string:7 breitenlohner:1 far:1 continues:2 seemingly:1 sasha:1 summarized:1 emphasized:1 matrices:1 condition:1 school:1 induced:1 went:1 hamiltonian:3 eva:1 nucl:2 solution:4 large:1 discrete:2 vector:2 small:2 khalatnikov:5 lapse:4 upper:2 work:1 says:1 periodicity:1 rec:1 equation:2 talks:1 zero:2 silverstein:1 further:1 dynamics:13 canonical:1 even:1 index:1 appear:2 coframe:1 section:3 near:5 version:1 sur:1 above:3 lifshitz:4 new:3 increasing:1 contrast:1 layers:2 outgoing:1 full:2 led:2 respectively:1 modify:1 here:8 understanding:1 behaviour:11 les:1 threads:1 groups:3 represented:1 quite:1 equations:9 appears:1 logarithmic:2 antisymmetric:1 algebra:5 shift:1 study:1 vectors:5 allows:1 suggests:4 suggestion:1 action:4 proof:1 spacetime:5 sticking:1 2wa:3 spatially:2 classification:1 apr:1 2wi:1 klebanov:1 julia:6 young:1 expect:1 addressed:1 apply:1 counts:1 univ:1 planck:1 derivatives:6 quasi:1 feb:1 asymptotic:3 would:6 remains:1 positive:2 coupled:2 negative:1 france:1 toroidally:1 linear:2 examination:1 expanding:1 stage:1 type:8 refs:3 more:5 formally:1 duality:2 becomes:3 naive:1 curvature:2 berlin:1 correspondingly:1 iia:1 normalized:1 iib:1 hold:1 eα:1 hints:1 states:2 quartic:1 challenge:1 des:1 det:2 theories:9 suggestive:1 canonically:2 schladming:3 spontaneous:1 route:1 history:1 ma1:1 quantized:1 cosmological:11 brown:1 recalled:1 discussed:1 preserving:1 organized:1 belonging:1 high:1 lorentz:2 cartan:3 dxi:1 arise:1 huge:2 respective:1 winter:1 dilaton:1 means:2 csa:2 tableau:1 taormina:1 how:1 w23:2 pure:6 exterior:1 instead:1 belongs:2 oscillatory:3 map:2 product:1 de:4 description:2 singular:2 bkl:13 singularities:1 mapping:1 diagram:3 planckian:1 summarize:1 geometrical:1 revealed:1 compatibility:2 lar:1 realized:1 physical:1 dynamical:3 buyl:1 explicit:1 correspond:3 element:4 rather:1 kacmoody:1 so:3 fundamental:3 sl:6 polyakov:1 order:1 talk:1 neglect:1 indeed:3 over:4 mainly:1 expects:1 characteristic:1 paper:1 through:1 motions:1 hypersurface:1 existence:2 kinetic:2 still:1 roots:4 features:1 revived:1 group:15 maps:1 affine:5 vicinity:2 exhibits:1 actually:3 forms:11 absence:1 offers:1 systems:3 hidden:11 might:4 matzner:1 non:4 motivated:1 introduce:1 geodesic:10 walls:14 billiard:11 shchur:1 they:4 singularity:12 now:1 developments:1 θia:5 term:1 holographic:1 dirac:1 spacetimes:1 always:1 level:8 identified:6 hepth:1 applied:1 toroidal:3 found:16 entirely:1 side:2 lorentzian:3 mean:1 subset:1 tensor:1 weyl:6 just:2 directly:1 ek:1 ej:1 series:2 energy:3 sov:1 reduce:1 idea:1 related:5 inhomogeneous:3 toda:1 mar:1 static:1 yvette:1 sketched:1 quantum:6 our:1 operation:1 beyond:1 eq:7 out:1 conjectures:1 emerges:2 shown:1 3rd:1 space:12 gradient:3 erratumibid:1 dewitt:2 crucial:2 chaos:3 denotes:5 may:1 posteriori:1 rel:1 conjectured:2 constants:1 dominate:1 ref:1 foundation:1 i2:5 theory:12 dictionary:2 hull:2 mapped:1 diagonal:3 effect:2 indices:1 e9:1 e8:1 nice:1 stochasticity:1 hep:14 i6:3 hubble:1 sinai:1 could:4 similarly:1 motion:8 cremmer:1 hanany:1 place:1 gordon:1 signature:1 corrections:3 approaching:1 onto:3 exhibited:2 first:5 spaa:1 seeming:1 symmetry:21 jhep:3 grade:1 variables:7 dynkin:3 number:3 rank:1 wab:1 intuitively:1 spinning:1 ddimensional:1 waa:1 another:1 carry:1 precisely:3 horizontal:3 πb:1 given:4 πa:3 hyperbolic:6 introduction:2 leading:3 behaves:1 system:3 least:1 heights:1 their:4 r145:1 borel:1 too:1 linearities:1 ordered:1 structures:1 exponents:1 townsend:2 sugra:1 calculations:1 continuous:2 mentionned:2 demaret:2 part:1 july:1 than:1 coefficients:1 relative:1 kind:4 showed:2 double:1 namely:1 submitted:2 gij:3 matter:3 fermionic:1 were:2 10th:1 decompose:1 grossmann:1 symmetries:3 involution:1 dynamically:2 reduction:4 mind:1 generalization:1 speculative:1 antagonistic:1 say:2 kasner:3 conjugate:5 need:1 seen:1 null:6 linked:1 lie:7 strength:1 reciprocally:1 mappings:1 helfgott:1 convenient:1 latter:1 billiards:1 gravity:24 note:5 instance:1 maison:1 take:1 analogy:1 kac:16 lectures:2 cnrs:1 towards:1 electric:4 though:1 collapsing:1 enter:2 extending:1 germany:1 culminates:1 successive:2 pair:1 measured:1 why:1 sub:6 surprising:1 considered:4 later:1 coincides:1 kn:1 reintroduce:1 proceedings:3 gµν:3 exp:5 velocity:1 subgroup:3 sigma:1 fact:3 reductions:2 timedependent:1 labels:1 discovered:3 purely:1 spaces:1 gauge:3 solutions:8 conclusion:1 dimension:4 x0:13 ae3:5 ha:1 proposed:1 e10:52 explain:1 state:1 should:1 only:5 explicitly:2 summarizing:1 integrable:1 local:1 merged:1 dominant:10 klein:1 exceptional:3 dg:1 belinsky:4 decomposing:1 inclusion:1 cannot:1 words:1 dt:3 du:1 ds:1 continuum:1 fields:3 arxiv:17 grav:3 qc:2 aed:2 compactification:2 including:1 fixed:1 discussing:1 view:1 etudes:1 set:3 modulo:1 exists:2 crunch:1 frame:2 unexpectedly:1 see:7 result:1 chambers:3 11th:1 best:1 curvatures:1 gravitation:2 inequalities:1 pattern:2 review:3 siam:1 supergravity:19 symmetric:1 importance:1 behind:1 various:4 between:17 αi:1 approach:3 checks:1 recently:3 wa:5 nature:2 dxj:1 transpose:1 however:5 wi:5 killing:8 jk:1 configuration:1 endows:1 suggested:2 both:1 essentially:1 toward:1 last:1 kleinschmidt:4 many:3 invited:1 la:1 called:1 connection:1 context:1 contribution:2 perturbative:2 disappears:1 finds:4 30th:1 relativity:2 point:7 simple:5 ca:1 corresponds:7 height:6 dimensional:29 superstring:4 coordinates:1 table:1 considering:1 better:1 jetp:1 described:1 transformations:1 addition:1 igor:1 ai1:4 three:4 been:2 faithfully:1 much:2 basic:1 expected:2 figure:1 bures:1 algebras:6 meeting:1 fig:1 life:2 senses:1 corresponding:5 gen:1 tending:1 lives:1 tric:1 chevalley:1 stems:1 spindel:2 incoming:1 general:6 gab:3 present:5 case:7 intriguing:1 exponential:2 laplace:1 defining:1 appearance:2 wabc:1 while:7 replaced:1 relativistes:1 promoted:1 situation:1 conformal:1 iℓ:1 loop:1 correspondence:7 layer:1 larger:4 spacelike:4 played:1 chaotic:7 metric:8 them:3 marcel:1 ii:3 reads:2 dual:2 curved:4 maximal:4 march:1 cosmology:2 desy:2 compactified:1 cjk:2 different:2 generic:4 any:2 quant:2 scientifiques:1 pai:1 finite:3 subalgebra:2 higher:2 i9:3 independent:2 extended:1 parametrizes:1 i1:3 conceived:1 upon:1 monotonic:1 sym:3 hand:2 parametrized:1 running:1 levels:2 moving:1 infinite:15 totally:1 recent:2 lower:1 weakly:2 off:1 geroch:2 ganor:2 chartres:1 well:2 bang:1 analysis:4 components:8 coordinate:2 model:4 paradigm:1 drawing:1 usual:1 manifold:1 damour:13 object:1 being:2 presented:1 underlying:1 momenta:3 multidimensional:1 adv:1 polarization:1 hamburg:1 gravities:1 preprint:1 coordinatized:1 conclusions:2 zakharov:1 wall:11 add:1 potential:2 lett:9 nicolai:12 prominent:1 remaining:1 momentum:2 generalized:2 identical:1 rescaled:2 aspects:1 around:1 fate:1 henneaux:10 big:2 breaks:1 possible:4 e123:3 ℓmn:1 vacuum:1 using:1 ams:1 poses:1 moreover:1 moody:15 vertically:1 massless:2 appearing:1 like:4 particle:2 follows:1 austria:1 admitted:1 specific:1 chamber:8 continue:1 become:1 tower:1 works:1 reduced:1 beltrami:1 sketch:1 because:3 old:1 often:1 classical:2 sequence:4 some:10 bounce:1 self:1 understood:1 respect:2 proper:2 root:1 supergravities:1 ijk:4 vol:1 scale:3 describing:4 dimensions:7 lead:1 decomposition:1 tially:1 tends:3 rohr:1 terms:6 dimensionally:1 equivalent:2 expansion:5 interval:2 notably:4 imaginary:1 hilbert:1 takes:1 comparison:1 about:1 pα:1 extension:2 constraint:1 universe:1 numerator:1 factors:2 o:2 range:1 connected:1 iwasawa:2 outlook:1 cambridge:1 real:2 presence:5 into:4 down:3 en:2 references:2 einstein:13 operator:1 ei:3 relativistic:2 institut:1 eleven:1 khanin:1 there:6 transform:1 long:1 noticed:1 start:1 aijk:3 low:3 way:1 infinitedimensional:1 was:14 misner:1 function:1 form:18 denoting:1 triangular:2 but:3 w12:2 construction:1 line:2 trying:1 true:1 extend:1 coset:28 thibault:1 wish:1 gravitational:2 up:3 us:2 below:1 limit:8 uk:1 heterotic:2 similar:3 ehlers:4 interplay:1 strongly:4 taylor:1 associated:4 zeno:1 defined:5 certain:2 abstract:2 proven:1 evidence:3 examine:1 research:1 hautes:1 gradients:2 commuting:2 defines:1 no:1 amounts:1 when:3 field:5 other:7 role:2 details:1 spatial:18 mathematics:1 confine:1 eabc:1 node:3 picture:3 stat:1 elements:1 denote:2 conventionally:1 separate:2 models:11 symbol:1 a1:3 class:2 a2:1 a6:2 variable:1 belinskii:1 formal:2 sides:1 structure:9 ago:1 algebraic:2 pr:1 uggla:2 i10:1 together:3 time:9 serious:1 having:1 labelled:1
0704.1458.txt |@word represent:1 referee:1 limited:1 rev:1 lack:2 results:1 leads:1 facilities:1 cooperative:1 edu:3 winds:1 follow:1 disk:1 whose:1 terms:1 ergs:4 subjected:1 indicate:1 contours:3 under:4 supported:1 amplitudes:1 presently:1 g1:57 vla:15 migliari:2 account:2 luminosities:1 anonymous:1 socorro:1 common:1 jablonka:1 level:3 harbor:1 large:3 unrelated:2 aas:1 small:1 relation:7 becker:1 barbara:1 pooley:8 solutions:1 upper:1 strongly:1 heinz:2 insignificant:1 miller:2 consistent:10 mnras:4 direct:1 evla:6 inconsistent:2 rate:3 dordrecht:1 go:2 corner:1 estimated:1 rappaport:8 gaensler:2 spectral:3 will:4 errors:2 appear:3 lowest:1 m33:1 near:1 m31:6 current:3 above:3 3c:2 new:2 relatives:1 full:2 dwarf:6 degree:1 arcsec:2 loose:1 here:2 outlying:1 hours:1 reported:4 objects:2 l25:1 excess:1 active:3 ratio:10 november:3 standard:2 observing:2 appears:1 deduced:1 box:4 search:3 institute:2 larger:1 through:1 bulges:2 milky:1 fourier:1 makes:1 useful:2 although:4 apr:1 sgr:2 mckinnon:1 scaled:1 variety:1 marker:1 total:6 eddington:3 use:3 indicated:1 would:9 prove:1 remains:1 hst:1 contains:1 predictions:2 supermassive:1 few:7 therefore:1 spike:1 type:2 achieving:1 more:3 flat:1 owen:1 populations:1 apparent:2 emission:15 m81:1 tested:1 transient:1 antennas:7 rare:1 hole:2 effort:1 states:1 none:1 rotational:1 cas:1 science:4 equation:1 work:1 values:1 radiate:2 ulvestad:5 making:2 tzioumis:2 compare:1 figure:3 give:1 rodriguez:1 cited:1 suggestions:1 high:7 numbers:1 association:1 occur:1 absolute:1 information:1 respective:1 provide:2 globular:14 s5:1 located:3 heck:1 significance:1 gebhardt:9 priori:1 hundreds:1 filippenko:1 merritt:3 may:4 quantified:1 after:2 derived:1 confirmed:1 plane:3 facility:1 mag:1 summarize:1 law:1 data:15 rutledge:1 short:1 dynamical:3 effective:1 lho:1 loud:2 many:3 correspond:1 ghz:25 st:1 so:1 fundamental:3 correlation:1 taking:1 acknowledges:1 mjy:3 wind:4 sd:1 remnants:2 help:1 over:1 insight:1 kong:4 produced:1 paper:2 including:1 spheroidal:3 existence:1 accrete:1 its:3 galaxy:11 bridges:1 derive:1 group:1 thank:2 sν:1 chosen:1 masses:4 hypothesize:1 expectations:1 coordinates:1 actually:2 late:2 detected:2 lr:2 systems:2 clusters:8 areas:2 might:7 image:6 lx:4 virtually:1 demographics:1 elliptical:2 fig:1 scaling:1 band:1 hamilton:2 subtraction:1 they:2 half:2 lowenthal:1 day:2 nor:1 densities:4 easily:1 james:1 university:1 greisen:2 possibilities:1 magnetar:1 kpc:1 neutron:1 l0:1 each:8 found:8 higher:4 side:1 constraints:1 subset:1 square:1 telescope:1 ed:1 universities:2 related:1 interferometer:1 frequency:3 expect:2 calibrate:2 pulsar:4 our:9 out:4 greene:2 shown:3 neff:2 space:2 since:4 rx:6 research:1 particles:1 uncontaminated:1 contained:1 vlbi:3 baumgardt:2 electronics:1 cause:1 outburst:3 shows:2 foundation:1 ultraluminous:1 portegies:3 galaxies:4 little:1 possibility:3 quite:1 completely:1 formation:1 imaging:3 remainder:1 telescopes:1 log:3 hubble:2 could:5 similarly:1 days:2 times:6 turn:1 length:1 produce:2 massive:6 onto:4 v5:1 origin:3 there:3 probability:2 fading:1 primary:1 approximate:1 channels:1 set:2 adopted:1 another:1 l35:1 impossible:1 array:3 electronic:1 size:4 given:6 necessarily:1 nebulae:2 jet:2 their:4 introduction:1 unknown:1 system:1 approximately:5 sargent:1 needed:1 intermediate:4 rates:1 observations:9 white:1 hundred:2 national:3 inefficient:1 relationship:1 centered:1 relative:2 helfand:1 hut:1 optical:2 ociw:1 than:9 l9:1 distance:3 accretes:1 observatory:2 unfortunately:1 l45:1 princeton:3 matteo:2 transferred:1 mayall:1 ranging:1 ss:1 determined:3 amplitude:1 were:11 toward:1 synchrotron:2 intriguingly:1 galactic:4 spectrum:3 discussions:1 headings:1 cleaned:1 seen:1 bhs:12 aged:1 apparently:1 any:3 ray:35 wilson:2 strength:2 general:1 able:1 note:1 instance:1 empirically:2 frail:4 finding:1 subject:1 modulus:2 explanation:1 accuracy:2 even:1 index:3 object:5 reach:3 arcsecond:2 most:4 connected:1 letter:1 accreting:2 phase:3 measured:1 latex:1 joseph:1 observation:6 discarding:1 flow:3 inferred:2 km:2 order:3 points:2 velocity:1 left:1 sigma:1 gain:1 nebula:2 probe:1 halpern:2 implying:2 radio:51 zwart:3 bartel:2 subtle:1 find:4 staff:1 based:2 markoff:2 dividing:1 ngc:2 much:3 less:4 l13:2 enough:2 should:2 being:1 only:4 kilometer:1 black:4 rich:3 emitting:3 circle:2 local:3 pointed:1 do:1 gains:1 di:2 spurious:1 beams:2 overall:1 l41:1 likely:2 beam:7 negative:1 report:1 synthesized:1 argues:1 bondi:5 target:2 processes:1 continuum:1 covering:1 luminosity:15 arxiv:1 imbhs:5 summary:1 nrao:2 54s:1 predicted:3 contain:2 ording:2 cycles:1 flagged:1 mergers:2 rms:1 erroneous:1 computed:1 ferrarese:3 sensitivity:4 detection:8 intensity:1 individual:3 radius:2 submitted:1 operated:2 close:2 luminous:2 observed:2 contour:1 best:1 techniques:1 closer:1 phases:1 detect:1 extragalactic:2 currently:1 macros:1 outside:1 future:1 various:1 between:4 tens:1 neither:2 wide:1 recently:2 historical:1 nature:4 supernova:2 weak:1 however:5 efficiency:2 clues:1 distinguish:3 kev:4 configuration:3 both:4 providing:1 improved:1 kluwer:1 similar:4 region:1 uncertainty:1 quiet:1 against:1 context:2 contribution:1 comes:1 nearby:1 among:3 baas:1 necessary:1 pox:1 point:3 ca:1 cf:1 vicinity:1 analyzed:1 perley:1 simply:1 luis:1 observatories:1 νlν:1 µjy:12 basis:1 addition:1 radiative:2 three:1 been:1 strategy:1 outflow:1 refurbished:2 interest:1 expected:7 ska:2 ph:2 wait:1 choose:1 obtained:2 relations:1 corresponding:1 quantities:1 sufficient:1 terashima:4 gas:2 maccarone:8 covered:1 fellow:1 djorgovski:1 case:1 multi:1 handling:1 subsets:1 expanded:2 sarajedini:1 empirical:1 value:5 intimately:1 while:2 replaced:1 fiducial:1 error:6 guide:1 unlikely:1 scheduled:1 vol:1 00h:2 thus:10 ii:1 cluster:11 contract:1 ambient:3 binary:2 different:2 confirms:1 inc:2 baseline:1 grant:2 suggest:2 fender:6 radiation:1 cross:1 same:2 orders:1 split:1 relatively:1 jets:1 prerequisite:1 difficult:1 development:1 independent:1 used:4 see:1 published:1 flows:2 hand:2 traditionally:1 gotthelf:1 supposing:1 fellowship:1 rupen:2 lower:4 center:4 scenario:1 no:2 well:4 roughly:1 analysis:1 efficient:1 meylan:4 components:1 consistency:1 very:6 position:10 binaries:4 dimension:1 consisted:2 accretion:16 ratios:1 just:1 heavily:1 hypothesized:2 percent:1 accurate:1 imbh:19 sources:8 bandwidth:1 intervals:1 predicts:1 partridge:1 speed:1 divide:1 preprint:1 cm:1 candidate:1 density:8 alternate:1 character:1 except:1 discuss:1 source:23 pasadena:1 transformed:1 questioned:1 real:2 tests:2 putative:2 represents:1 possible:7 dark:2 department:1 increases:1 dewdney:1 know:1 background:3 press:1 using:5 lch:1 ruled:1 apj:19 strengths:1 imposed:1 bulge:2 signal:2 disks:1 probing:1 remnant:1 discarded:1 flux:11 milliarcseconds:1 either:4 january:2 baars:2 reduced:1 replacement:1 therein:1 dale:1 because:1 old:1 often:1 calibrator:2 creation:1 some:6 library:1 j2000:2 strongest:1 spheroid:1 table:1 images:6 faint:1 pauliny:1 confusing:1 separately:2 gradually:1 scale:1 dense:1 toth:1 integration:4 conservative:1 does:1 provides:2 assuming:1 witzel:1 ledd:1 vistas:1 core:1 biased:1 noise:10 power:4 rescale:1 processing:1 bh:15 agreement:1 stellar:8 bietenholz:2 santa:1 prepared:1 properties:1 proceed:1 about:7 central:8 carried:1 origins:1 months:1 anomalous:1 o:2 range:7 lends:1 valluri:2 gamma:1 astronomical:1 own:1 mbh:3 final:1 presence:3 previously:1 windhorst:2 into:3 within:7 washington:1 steady:1 due:1 assess:1 appropriate:1 references:2 determine:1 statistics:1 additional:2 comparing:1 transfer:1 support:4 mcmillan:3 spiral:2 awarded:1 dispersion:2 detectable:1 low:1 way:3 astrophysics:1 was:12 knowledge:1 hz:3 considerably:2 complete:1 hr:5 but:11 astro:3 repeated:1 magnitude:1 ho:12 pwn:5 line:2 hf:1 falcke:3 genzel:1 campion:2 made:3 whether:1 pulsars:3 maximum:1 us:1 theoretical:1 considered:2 below:3 l29:1 limit:3 radiatively:1 minutes:2 detailed:1 fomalont:1 associated:4 jenny:1 classic:1 stripped:3 abstract:1 aj:2 deep:4 evidence:4 ap:1 enable:1 exist:1 32m:2 physical:1 nj:1 discriminate:1 nm:1 antenna:1 calibration:1 dashed:1 whereas:1 sessions:1 when:1 barth:2 nas:1 other:6 merloni:7 test:3 optically:1 star:1 60s:1 provided:1 models:3 carnegie:1 includes:2 arcmin:1 nucleus:1 astronomy:5 searches:2 correlated:2 implies:1 holes:2 nasa:3 mass:21 time:3 far:1 nuclei:2 quantity:1 having:1
0704.1459.txt |@word consider:3 induces:6 alternatives:1 results:9 existing:1 leads:1 obstruction:1 proposition:29 generalize:1 follow:1 gl:10 compact:3 whose:4 hold:1 analytic:1 paris:2 acting:1 λid:9 uniqueness:2 restriction:2 under:3 details:2 norm:4 p2:1 belonging:1 t12:1 g0:5 construction:1 calkin:1 induce:1 choice:1 projet:1 corollary:5 valued:1 every:14 difference:1 matrices:1 categories:1 dim:2 schwarz:1 valentin:2 t2:2 t1:2 noninvertible:1 supplement:1 indices:1 eigenvalues:2 shows:2 noted:1 smaller:1 neighborhood:2 direct:4 imply:2 enclosed:2 further:1 odd:17 theory:5 even:39 index:24 disk:1 appear:2 invertible:2 giving:2 trivial:1 sum:5 find:2 version:10 en:11 kalton:1 subspaces:6 sup:1 new:2 gl2:4 bn:4 satisfy:2 led:1 respectively:2 never:2 here:2 desired:1 groups:1 indecomposable:2 studia:1 quite:1 deduced:1 obtained:1 instituto:1 generalizing:1 delimited:1 algebra:3 atica:2 tµ:19 contradiction:3 yˆ:1 suggests:1 supplements:1 explicited:2 pick:1 t22:1 quotient:6 identification:1 useful:1 addresses:1 apr:1 vii:4 inverses:1 support:2 total:1 linearly:5 use:5 ˆs:2 would:3 prove:8 sake:1 positive:3 stated:1 visit:1 finally:3 guideline:1 few:2 therefore:43 m2:5 simpler:1 msc:1 decomposable:1 more:10 division:2 operators:29 stable:1 koszmider:3 berlin:1 normalized:1 particular:4 known:4 cases:1 cardinality:1 iii:3 must:3 isomorphism:30 defines:1 idx:4 recall:10 idy:3 ibx:1 paragraph:1 obvious:1 codimension:2 following:7 example:8 unconditional:8 proof:29 f1:5 f2:7 f3:2 f4:2 give:4 share:1 states:2 contradicts:1 numbers:1 hyperplane:4 sense:1 1s:1 conversely:5 axis:2 information:1 respective:1 end:1 provide:2 s2:3 s1:3 holds:2 write:4 maps:1 fourth:1 answer:3 sin:1 map:16 fr:1 isomorphically:1 singular:22 may:15 max:1 inessential:31 mapping:1 br:2 fa:1 multiplication:1 horizontal:2 law:1 lifting:12 natural:4 four:1 whenever:6 sp:16 explicit:2 correspond:1 element:5 so:15 fundamental:2 jussieu:3 putting:1 discussion:1 exclusive:1 s0:2 saturated:6 indeed:4 satisfied:2 produced:2 paper:4 including:3 banach:53 mentioned:2 existence:1 satisfies:7 its:21 before:2 group:7 thank:1 la:1 chosen:1 conjugation:20 actually:9 choose:1 lp:1 mail:2 defining:1 into:16 non:4 good:1 estat:1 cen:1 elementary:1 preservation:1 they:3 st:1 now:8 discuss:1 structural:1 eigenvalue:1 alez:6 always:2 university:1 classified:1 applied:1 iff:1 each:6 found:1 2n:2 2i:3 mean:1 subset:5 el:2 lifted:2 square:18 directly:1 formulate:1 series:1 quaternionic:1 related:1 bijective:2 combining:1 tˆ:2 our:6 special:1 out:3 category:1 matrix:2 space:81 furthermore:5 since:19 crucial:1 denotes:6 boˆıte:1 contained:1 vector:1 correspoding:1 denoted:1 formula:1 induced:9 math:10 rk:5 linear:23 state:1 contain:1 diagonal:1 departamento:1 maurey:4 admits:11 small:4 perturbation:9 complicated:1 york:2 put:1 institut:1 publ:1 aˆq:3 definition:6 brasil:1 applications:1 universidade:1 dunford:1 could:1 place:1 hence:6 tzafriri:1 onto:11 think:1 first:14 separable:3 singleton:1 initial:1 symmetry:2 bijection:6 relate:1 conjugacy:3 number:1 rank:13 linking:1 improvements:1 another:1 precisely:2 open:15 passes:1 given:5 necessarily:7 reference:1 indicate:1 introduction:1 financed:1 fonctionnelle:1 least:1 their:6 assumption:1 πu:12 structures:44 tool:1 exactly:7 ime:2 part:1 authors:2 x0:3 copy:2 than:6 coefficients:2 distance:1 third:1 showed:1 characterizations:2 second:3 ss:1 classes:24 fˆ:1 were:3 f12:1 decompose:1 projections:4 false:1 remained:1 ann:1 spectrum:3 generalization:1 already:1 say:1 conjugate:11 need:2 seen:3 null:1 clearly:3 generalizes:2 built:1 lim:1 hyperplanes:20 isolated:4 converges:2 note:17 ideal:23 lifts:2 take:1 interior:2 reals:2 canonical:4 spectral:11 continuous:1 multiple:1 shall:6 sequence:2 simplify:2 satisfying:2 connected:4 acknowledgements:1 class:6 hereditarily:1 observation:1 kd:2 considered:1 clear:2 sometimes:2 gowers:3 codimensional:4 curie:1 points:5 principle:1 section:4 fact:4 precise:1 saying:1 show:5 spaces:58 relation:7 decompositions:1 keywords:1 uniform:1 d2:4 injection:2 j12:1 enough:5 topological:1 should:3 identifies:3 lemma:19 only:18 candidates:1 µi:1 ematiques:1 hope:1 continuity:3 do:7 his:1 above:7 means:3 embeds:3 de:6 cannot:2 nearly:3 words:1 combinations:1 during:1 routine:1 ferenczi:5 continuum:2 coordinatewise:1 qx:4 arxiv:1 ut:1 correspondance:1 fixed:1 kernel:1 set:25 modulo:3 exists:19 unions:2 national:1 j1:2 j2:3 observed:1 see:10 radius:1 result:6 domain:2 jx:1 forthcoming:1 said:4 containing:4 consequence:1 µs:2 symmetric:4 written:3 various:2 closed:3 between:7 αi:1 neither:5 previous:1 conditions:1 herrera:1 commute:1 terms:4 jy:1 extend:3 complement:1 jp:1 however:3 isol:1 hypothesis:1 article:3 amer:3 ker:1 improve:1 both:7 essentially:27 last:1 universit:1 taking:1 equal:3 admit:11 iv:2 passing:2 whole:3 asked:1 ck:1 point:3 simple:2 continuation:1 cf:2 scientifique:1 dimensional:30 simply:2 polynomial:1 moreover:4 amalgamation:1 kp:1 most:1 incomparable:39 basis:6 union:1 due:4 springerverlag:1 much:1 xam:8 basic:1 applying:1 algebras:1 empty:1 define:4 surjective:1 generating:1 corresponding:6 sˆ:8 concerning:1 iµ:1 recherche:1 2ip:1 matem:2 θx:1 observe:6 yk:7 bull:1 2id:1 general:4 2ic:1 those:1 case:16 exception:1 replaces:1 look:3 value:1 rectangular:2 will:6 while:5 ıstica:1 applies:1 pˆ:7 property:19 iy:2 ix:2 generate:1 studied:1 almost:1 ip:1 ir:1 thus:2 them:1 according:1 ii:8 characterize:1 itself:1 im:1 turns:3 ia:1 ib:4 id:72 different:1 verified:1 author:5 belong:3 same:4 any:20 paulo:3 complex:115 proved:4 finite:13 subalgebra:3 used:5 complemented:8 i1:5 i0:6 hand:3 edges:1 uses:2 infinite:32 totally:16 identity:1 weakly:1 center:1 unconditionally:2 well:6 except:2 obviously:1 without:1 solve:1 lindenstrauss:1 sets:8 dimension:5 just:2 less:1 when:16 resp:2 obtain:7 identify:1 thanks:1 questions:2 using:4 facts:2 λi:4 yet:2 projection:18 contradicting:2 conjugates:1 preprint:1 cl:1 seems:1 supplementing:1 belongs:4 easy:6 theorem:19 heidelberg:1 gave:1 real:57 around:1 easily:6 iα:1 advances:1 showing:2 decomposed:1 sums:1 possible:6 topology:1 know:1 immediately:1 unique:12 complexification:5 follows:10 interestingly:1 specific:1 either:12 contradict:1 jˆ:1 argyros:5 page:1 j22:1 parity:2 because:3 classical:5 formulas:3 spheres:1 some:23 pierre:1 deduce:10 examples:15 respect:5 images:1 unless:1 proofs:2 nonzero:1 centre:1 comments:1 does:8 decomposition:6 unit:3 provides:2 idr2:3 proc:2 refer:1 tµ1:1 equivalent:3 bk:3 restrictive:1 although:3 relating:1 bx:1 properties:6 injective:2 takes:1 about:7 oi:2 extending:1 france:1 aˆ:6 essential:2 mutually:1 fredholm:52 idg:1 other:7 block:4 soc:3 previously:1 image:4 isomorphic:31 copies:2 appropriate:1 xgm:4 references:1 determine:1 operator:60 next:3 existed:1 marie:1 span:1 additional:1 vˆ:1 canad:1 assumed:1 strictly:23 there:37 question:9 gid:2 way:2 cartesian:1 was:6 function:1 form:7 usp:2 analyse:1 but:7 cedex:1 hi:10 repeatedly:1 convergence:1 line:3 true:1 he:1 made:1 compute:1 whether:2 wish:1 up:11 us:4 ranks:1 limit:2 how:1 ccr:1 problem:4 similar:3 bourgain:1 partition:2 associated:16 defined:14 likewise:3 abstract:1 linearity:2 direction:1 ao:3 denote:7 aq:1 proves:1 exist:10 dλ:2 formulation:1 ay:1 ax:2 check:4 gonz:6 constructed:5 vertical:1 countable:3 functions:4 nk:1 completeness:1 no:13 cos:1 generally:1 vanishes:1 sˆq:1 disjoint:2 setting:1 aˆ2:1 conclusion:3 conclude:1 elements:7 subspace:9 sided:1 problems:1 medina:2 hausdorff:2 generated:3 a2:6 bounded:1 included:3 structure:46 implies:5 assume:9 required:1 curve:4 notion:6 equivalently:4 original:3 incomparability:3
0704.1460.txt |@word inverse:1 represent:2 subtract:1 halve:1 gs:67 consider:7 chain:17 lagrangian:55 iib:11 truncated:1 results:7 four:4 defining:3 comments:1 grateful:2 lll:13 consists:2 expressions:1 ptt:1 reasoning:1 issues:2 gh:1 compact:4 whose:2 ansatze:2 integral:4 re:5 bulg:1 tr:19 young:2 tp:1 charge:6 critical:1 weyl:1 th:64 εijk:1 analogous:1 must:2 identity:2 norm:1 ingredient:1 eµa:5 ǫab:2 conjecture:1 global:2 string:40 straightforward:1 g0:4 far:1 dynamic:3 reader:1 translations:1 ηij:2 choice:3 witten:1 entries:2 aµ:2 ui:12 ln:2 matrices:11 condition:3 generalised:2 gg:18 trm:1 impressive:1 immediately:1 hamiltonian:3 irreducible:1 notes:3 solution:3 d2:18 integrated:1 large:14 solved:1 convenience:4 vector:3 δnm:2 generalises:1 small:1 eigenvalues:1 noted:1 programme:1 possibility:1 physically:2 too:1 holography:1 compensated:1 periodicity:1 consistent:13 1n:1 dimensional:4 cosh:3 go:1 second:9 zz:1 further:13 cft:10 salam:1 odd:7 gm:1 linear:1 even:4 established:1 what:3 plefka:4 developed:1 sub:37 diag:3 section:23 signature:1 brief:2 d3:1 current:6 consistently:1 version:2 fpz:1 above:34 lifshitz:19 new:2 completness:1 dχ1:1 consisting:1 satisfy:10 iφ2:3 full:14 led:1 κi:14 matches:2 respectively:3 gκλ:1 like:1 component:4 here:4 understanding:1 modular:1 q2:1 ansatz:4 sinh:2 address:1 path:4 along:2 standard:2 equations:37 appears:1 mod:1 obtained:8 ctp:1 institute:1 slow:1 leaves:1 larger:1 allows:4 leaving:2 ωn2:1 suggests:1 periodic:1 resulting:3 loop:6 pick:2 action:100 suitable:2 apart:1 perelomov:1 gorsky:1 via:1 lkin:3 va:64 apr:1 requiring:2 systems:2 maldacena:3 supercharges:1 expect:4 fake:2 total:3 establish:1 unit:1 virasoro:4 lwz:6 derivatives:2 use:4 takes:2 pere:2 commun:3 covariant:5 iη2:2 nonsupersymmetric:1 contains:2 2a2:1 physics:2 lorenzian:1 dη:1 classically:1 dilaton:1 sitter:1 ψn:7 opposed:1 m3:1 vi:16 taken:1 themselves:1 eiωn:1 type:15 theoretical:2 more:7 flat:2 formally:1 duality:6 ua:64 operators:8 under:7 supergroup:1 curvature:1 eν:2 long:5 appendix:13 labelled:1 studied:1 particular:10 known:2 cases:2 fermionic:45 ρa:1 e2µ:1 springer:1 valued:4 ma:1 quartic:1 integrating:3 henneaux:1 science:1 equation:25 work:4 det:6 subsectors:3 theories:6 mt:1 itself:1 values:3 iψγ:1 following:13 ψa:5 arrive:4 marshakov:1 example:5 stimulating:1 compare:1 conformally:1 want:1 beisert:15 give:1 organised:1 relativistic:4 lψ:1 kruczenski:3 states:6 numbers:2 cubic:1 phrase:1 tions:1 counting:5 presently:1 respective:1 rescaling:3 end:1 polchinski:1 thing:1 rather:2 superconformal:2 discussion:6 acts:12 berlin:1 feature:2 fortunate:1 write:15 how:4 amazing:1 sec2:2 eκ:1 belitsky:2 instead:4 parameter:2 sin:4 belongs:1 map:3 abd:2 ft:2 description:1 algebra:6 our:6 thermodynamic:6 oscillators:1 earlier:3 derived:2 containing:1 epsrc:1 embed:1 hence:1 plane:1 lax:2 coming:2 multiplication:1 representations:1 µab:2 goto:1 nastase:1 hl2:2 mψ:1 natural:6 sectors:17 aψ:1 light:5 klebanov:2 explicit:8 su:99 element:3 diffeomorphism:1 dilatation:6 cannot:5 so:28 da:1 enter:4 representation:7 manashov:1 lκ:1 order:21 restricted:1 typical:1 restriction:3 δηi:6 ηj:2 words:4 gauges:2 indeed:6 over:3 vary:1 interpreted:1 stability:2 course:1 paper:5 london:1 2v:5 mentioned:1 kinetic:2 hofman:1 itr:3 its:6 roots:1 before:2 sec1:1 blocks:2 group:10 strathdee:1 superstrings:2 energies:3 interesting:5 ll:53 gleb:1 varies:1 coordinates:8 writing:2 mcarthur:2 supermatrix:2 parts:2 degrees:28 whole:1 relate:2 derivative:1 hidden:2 main:3 might:2 setting:7 supersymmetry:2 maximal:3 denominators:1 non:16 yj:3 eiθ2:2 propose:1 bein:5 eiθ1:2 landau:18 ǫij:1 mezincescu:1 ηi:28 they:5 half:3 eµ:1 thus:1 sixteen:1 integrability:4 bigger:1 matched:1 prt:2 represents:1 term:8 sakai:3 equality:1 δ2l:1 fully:1 level:5 backgrounds:1 2y:1 quantizing:1 xy:1 2a:4 eigenvalue:1 crossing:2 found:1 2n:1 difficult:1 uninteresting:1 side:8 mean:1 em:1 spinor:4 differential:3 ei:3 curved:3 energy:4 reduce:7 related:2 challenges:1 arrives:2 obtains:1 proportional:1 quantum:7 laboratory:2 4πx:3 ferromagnetic:1 out:12 leave:1 shown:8 nωn:1 matrix:28 kazakov:5 space:10 spectrum:1 aside:1 integrates:1 since:22 crucial:1 research:1 content:2 may:24 acting:3 precision:1 smatrix:2 denoted:2 formula:1 wick:1 xu:3 originally:1 math:5 shows:3 stat:1 after:1 theory:38 hull:1 grangian:2 given:21 hl1:2 quite:4 admits:1 cut:1 completely:1 base:1 remainder:3 publication:1 definition:1 nameki:1 derivation:1 spill:1 eden:1 could:5 impose:1 used:11 times:1 motion:26 turn:5 int:1 v3:5 seperately:1 including:3 δij:2 1x:1 corrections:2 needs:1 onto:1 einbein:4 first:19 u6:1 speeding:1 symmetry:35 jhep:23 u1:4 wave:1 waves:1 number:17 restrict:1 xx:9 2u:2 done:4 u3:7 another:2 diagonal:3 u2:4 enforced:2 constructing:1 differ:1 necessarily:1 sheet:6 discussed:3 m1:1 introduction:1 leading:8 system:4 construct:7 iab:7 their:7 st1:8 st2:5 convention:1 consistency:1 lcls:1 final:3 speaking:1 fermions:34 free:2 2ad:2 shell:14 relationship:1 sl:1 park:1 minahan:4 siegel:1 ix:3 part:4 subsector:5 somewhat:1 grassmann:10 eliminated:2 copy:1 specify:1 wide:1 either:1 aaf:3 last:4 1m:1 structures:1 require:5 nnnn:1 zero:17 correlators:1 project:1 ryzhov:1 protected:1 refrain:1 iua:1 str:10 were:1 2dim:1 similarily:2 gives:7 so6:1 perturbative:1 normal:5 motivation:1 fashion:1 symmetries:4 generality:2 remained:1 ran:2 lines:1 argument:8 interpretation:1 leff:3 pedestrian:1 manner:4 conjugate:4 need:3 seen:1 recover:2 any:10 lie:3 arkady:1 mij:4 tirziu:1 kristjansen:1 q1:1 randjbar:1 latter:3 mills:10 gravity:1 aa:1 k3:2 k2:1 k1:1 contact:1 square:1 take:2 forces:1 schematically:1 green:9 unconstrained:1 canonical:1 mit:1 spacetime:3 formulas:3 eiφ1:6 trace:2 though:2 track:1 derkachov:1 who:1 3y:1 metrics:1 most:5 attempt:1 eight:1 superspaces:1 automorphism:10 doubled:2 pair:3 bda:2 acknowledgements:1 class:3 tensor:1 γi:2 observation:1 conversations:1 considered:2 metsaev:1 clear:3 later:3 shortly:1 gˆµν:1 yang:10 zarembo:8 gµν:18 chris:1 δt:1 typically:4 unimodularity:1 fact:12 torrielli:1 sector:24 qcd:1 aba:3 think:1 index:1 show:7 grav:1 jµ:12 charles:2 supergravity:1 rotating:2 iǫ:1 gauge:51 solutions:7 x3:1 inherit:1 determined:2 trivial:10 find:3 d1:18 quantising:1 dχ2:2 feng:1 finally:6 2bz:1 parameters:3 notice:7 parametrise:2 papadopoulos:1 written:19 should:14 xi:2 only:5 explicitly:7 arutyunov:8 subsection:2 postulated:2 integrate:4 integrable:9 local:16 hopf:1 columns:1 inσ:2 do:5 his:1 keeps:2 notation:3 get:4 familiar:1 dd:2 simplest:1 bena:1 generalise:1 aα:2 enters:1 made:1 rest:1 closely:1 invariant:12 aκ:3 janik:1 nearly:1 target:1 nσ:4 symbols:2 evolution:1 properties:1 continuum:1 fields:10 arxiv:58 applications:2 remove:1 summary:1 derive:1 investigate:1 lsu:5 double:2 qi:1 through:1 fixed:6 explanations:1 traceless:2 view:2 hκ:4 requirement:1 set:15 computed:1 achieved:3 δji:1 2πm:1 unpublished:1 comparable:1 psu:1 argued:2 see:14 college:1 result:10 jµt:1 discussions:3 recently:1 κe:2 dµ:10 theoretic:1 satisfies:2 best:1 techniques:1 surfaces:2 practice:1 satisfying:1 commutation:1 worldsheet:8 nuclear:1 away:2 e1µ:1 consequence:1 symmetric:3 state:9 future:1 identification:1 between:5 αi:1 progress:2 justified:1 conditions:2 multiplied:1 ends:1 terms:25 klose:1 adding:1 restricting:2 focus:1 however:8 jr:3 roiban:2 δad:1 conjugates:2 ws:1 would:3 δac:1 come:3 wz:5 recall:4 suggested:1 both:7 cos:4 iωn:1 prescription:2 limits:3 dualise:1 many:2 taking:2 equal:2 quantization:1 etc:1 connection:4 entertain:1 ωg:1 context:1 staudacher:9 uni:1 contribution:1 ub:6 expression:4 schafer:1 comes:1 grounds:2 generalisation:1 diffeomorphisms:1 relevant:3 very:6 point:5 simple:6 effective:3 lagrangians:6 multiplier:1 corresponds:1 coincidence:1 semiclassical:3 superstring:15 simply:7 bα:1 bβ:2 lagrange:1 yi:9 respect:3 throughout:1 pp:1 described:1 transformations:5 leads:1 basis:1 quantisation:3 daemi:1 three:4 been:6 lopez:3 ai:1 describes:3 singularities:1 combined:1 interest:2 expected:2 combine:1 define:14 hernandez:3 determinant:2 relations:3 corresponding:19 easy:6 truncations:5 quantities:1 bmn:1 jbc:2 zamaklar:3 coherent:9 2im:3 dirac:4 1d1:2 lgs:6 maximally:1 spin:29 former:1 present:13 case:20 multi:1 novel:1 kappa:1 eit:4 winding:1 ǫj:1 ǫi:5 ij:4 nski:3 will:14 while:7 replaced:1 momentum:1 applies:1 gubser:2 conformal:10 inspired:1 sw7:1 ein:1 iy:8 correspondence:8 vb:7 unitary:4 iva:1 coupled:1 almost:1 funded:1 metric:14 2ua:2 iu:7 them:2 iηi:7 iv:9 ii:2 ik:1 obstacle:1 im:1 cone:5 dual:9 turns:1 ia:1 zhang:1 technology:1 fermion:6 currents:2 stands:1 different:2 null:1 degenerate:1 generic:1 make:1 admit:3 same:8 checking:1 complex:9 quant:1 split:1 largest:2 gνλ:1 physical:4 higher:2 conserved:1 independent:1 literature:1 imply:3 trivially:7 absorb:1 upon:5 functions:4 sym:9 hand:4 doublets:1 v1:2 v2:3 nk:1 v4:4 kin:1 v6:2 v7:3 v8:2 commutators:3 invariance:11 anticipated:1 eiǫ:1 cµ:3 recent:1 relies:1 argue:1 off:4 center:1 vα:1 charges:5 falsification:1 well:5 roughly:1 analysis:1 thought:3 mcloughlin:1 de:1 without:3 solve:1 log:3 components:9 sets:1 coordinate:1 comparisons:1 model:49 magnon:1 usual:5 moving:2 manifold:3 background:1 just:6 being:1 able:2 paragraph:2 rotated:1 obtain:5 actions:33 reviewed:1 identify:7 thanks:1 using:13 facts:1 eiφ3:4 scattering:1 previous:4 adv:2 note:9 aβ:1 now:11 ads:26 providing:1 korchemsky:2 russo:3 alternate:1 had:3 except:1 discuss:1 iψ:4 lets:1 interested:2 adb:2 lett:7 cosets:11 iρ:2 extensive:1 possess:1 remaining:5 match:7 iφ:2 real:18 embedding:1 absense:1 landaulifshitz:3 around:1 rev:7 easily:5 iα:5 iγ:1 decomposed:2 possible:3 iη:5 warm:1 finding:1 vβ:2 reads:1 appendices:1 vacuum:2 world:6 lcl:22 vλ:1 rescaled:1 formal:1 loss:1 ad2:1 particle:3 semi:3 identifying:3 follows:7 reduces:4 performing:1 ηab:1 manifest:1 automorphisms:1 collect:1 bpr:2 indication:2 schwarz:9 δh:1 arbitrary:2 anti:5 mode:1 reduced:3 icµ:4 because:8 stringing:1 spinning:2 classical:16 sequence:2 zz4:10 some:9 zz2:1 mech:1 understood:1 elements:1 gilmore:1 examples:5 ordering:3 δba:1 gˆ:2 δbc:1 guess:1 matching:12 eiα:1 formulation:1 proceeding:1 dimensions:5 einσ:4 bdd:3 ones:1 footing:1 parametrisation:2 2xx:1 does:6 exposition:1 eliminate:5 provides:1 δj:1 chains:3 refer:2 inserting:2 presented:4 run:1 ba:10 strongly:1 polyakov:5 equivalent:6 each:6 conventional:2 expansion:2 step:1 mikhailov:1 eiφ:1 super:26 hilbert:1 invariances:1 constrains:1 comparison:1 usa:1 extension:2 valid:1 extremal:1 freedom:28 nambugoto:2 anomalous:4 dependence:1 o:12 2i:5 compatible:2 ǫc:2 range:2 a2:4 nothing:1 spins:1 germany:1 constraints:7 gamma:2 ξm:1 dorey:1 jν:4 equally:1 cambridge:1 christoffel:1 presence:1 previously:1 into:4 rotations:1 jα:5 jβ:6 due:2 down:8 phase:3 right:6 references:1 operator:8 factor:2 factorized:1 bosonic:24 vj:1 constraint:2 fast:1 hep:64 u8:2 comparing:1 θn:1 u4:3 u7:1 there:6 question:1 nucl:15 specifically:2 imperial:2 ordered:2 start:3 restricts:1 quadratic:4 bosons:7 low:1 way:9 hooft:1 was:15 dippel:1 naturally:1 function:2 complete:5 form:17 enough:1 berenstein:1 ea:2 m2:4 but:6 alday:1 construction:5 skip:1 hm:1 ebν:1 true:1 divergent:1 truncation:6 count:1 again:1 ji:1 coset:25 compute:2 minkowski:1 variations:1 up:6 us:15 bethe:7 tseytlin:16 below:4 convince:1 limit:18 spectroscopy:1 ωn:18 jτ:7 ansaetze:1 problem:1 piece:1 similar:3 dτ:2 blackett:1 jσ:9 detailed:3 ab:3 constant:8 ad:1 adsp:1 computing:1 defined:9 certain:2 abstract:1 contribute:1 am:2 direction:1 general:15 loops:2 single:1 au:2 decoupled:1 numerators:1 relates:1 supersymmetric:3 ing:1 eaµ:2 check:7 constructed:4 ni:3 nj:1 compared:1 nn:1 no:4 fixing:2 when:8 vanishes:1 planar:2 δbd:1 jcd:1 field:4 definitions:2 other:16 compares:1 details:2 investigations:1 becomes:1 test:1 theor:3 eiφ2:3 frolov:12 nice:1 conclude:2 briefly:2 ads5:21 rescale:1 cab:1 models:22 why:1 stringy:1 variation:5 much:1 replace:1 commutator:1 a3:1 important:1 massachusetts:1 ξn:7 vectors:3 included:2 generalized:3 unnatural:1 omega:1 sides:2 structure:1 algebraic:4 implies:3 coupling:1 nambu:1 sigma:44 v5:1 zwei:5 curve:3 dσ:20 together:5 strings:9 bb:2 principle:1 mass:2 χi:1 time:3 n2:3 starting:3 having:3 once:2
0704.1461.txt |@word limited:1 partial:7 consider:4 results:23 although:3 ge:1 go:1 follow:1 expressions:1 gl:2 gi:1 particles:8 i2:2 technique:2 presents:1 monotonically:1 th:1 te:1 applied:3 jensen:2 very:3 springer:1 wave:15 resonant:3 experimentally:2 continued:1 condition:1 caesium:2 riemann:4 presented:5 turns:4 mehen:1 solution:3 large:3 convenience:1 small:2 3b:1 subindex:1 noted:1 dimer:4 configurations:1 smaller:2 occurrence:1 findings:1 renormalized:3 consistent:4 prediction:1 second:12 further:3 wilson:2 residue:1 developed:1 sub:1 rate:2 giving:1 deeply:1 section:8 brief:1 experiment:1 poles:3 κ2b:1 goes:3 new:3 increasing:8 method:3 κ2i:1 body:58 condensed:1 full:2 evaluating:1 respectively:5 promising:1 atoms:2 mev:2 separation:1 situation:1 represented:1 equations:9 change:2 obtained:7 instituto:1 incoming:1 study:5 studied:1 approaches:3 prior:2 cta:1 resonance:6 studies:1 sci:1 projection:1 scales:1 explained:1 while:2 neutrons:1 weaker:1 condensates:1 total:1 breakup:3 give:3 predictions:1 next:3 few:2 nucl:6 torre:1 type:3 theoretical:1 εnn:3 more:1 introducing:1 remark:2 aware:1 berlin:1 varying:4 known:2 cases:5 producing:2 high:1 keeping:1 crosses:1 thanks:1 science:1 equation:9 mn:6 centrifugal:2 reproduce:1 remain:2 values:2 following:7 gℓ2:1 renormalization:2 figure:3 chosen:1 calculation:1 suggestions:1 ann:2 desenvolvimento:1 states:30 indicates:1 performed:1 unphysical:7 occur:1 axis:1 huge:1 regularization:1 enc:8 discussion:1 ultracold:5 enn:2 foreseen:1 how:2 varies:2 instead:1 absolute:5 dominance:2 description:1 information:1 after:1 derived:1 confirmed:1 plane:13 amparo:1 waves:3 e20:1 threebody:1 effective:2 recombination:2 sp:1 lines:1 correspond:1 perform:2 so:2 decreasing:2 kolck:1 definitions:1 looking:1 order:5 restriction:1 reproduced:1 correlation:3 indeed:2 pointed:1 ita:1 stability:3 experiments:2 through:4 same:2 existence:1 kinetic:2 still:1 derive:1 group:1 thank:1 energies:18 interesting:2 masses:4 solving:1 actually:3 better:2 lt:1 systems:15 decreased:1 main:1 defining:1 deformation:1 versus:1 non:2 good:1 kraemer:1 introduce:1 scaling:1 subtraction:3 they:3 nov:1 halo:6 ift:1 easily:1 february:1 verifying:1 identified:1 possibilities:2 amorim:1 2a:3 arrow:1 each:1 crossing:1 found:5 2n:1 difficult:1 side:4 constraints:1 subsystem:8 ei:28 arora:1 noble:1 energy:54 τnn:5 used:3 inhomogeneous:1 molecular:1 investigated:2 measure:1 quantum:1 our:6 happen:1 eq:8 out:2 shown:7 perry:1 unbound:4 matrix:14 rep:1 since:1 rev:24 trimer:2 increase:1 re:1 investigation:2 dominated:4 ref:5 ockle:2 shows:2 numerical:3 theory:1 barrier:2 interactions:1 ısica:2 departamento:1 quite:1 clarify:1 completely:2 put:1 sheet:16 e0:1 definition:1 pairs:1 interaction:5 barns:1 kivshar:1 counterpart:1 length:5 explored:1 hussein:2 exhibited:1 first:11 exotic:1 respond:1 already:3 number:3 walter:1 alternatively:1 approximately:2 directly:1 reached:2 open:1 given:13 checked:2 temperature:1 unitarity:3 leading:1 eqs:5 system:12 least:1 their:3 ostrovskaya:1 zeros:1 cycle:2 final:3 shell:2 collapse:2 trapped:1 sizable:1 larger:2 part:1 authors:1 natural:1 riisager:1 than:3 clarifying:1 18c:1 analyze:1 sections:4 require:1 zero:9 submitted:2 determined:1 amplitude:4 were:1 garrido:1 lowest:1 fonseca:1 needs:1 samba:2 rau:1 bedaque:1 need:1 elsevier:1 clearly:2 subsystems:6 convenient:2 verlag:1 note:1 k2:7 potential:1 solve:1 barn:2 channel:4 accuracy:2 towards:1 investigations:1 probed:1 rhs:4 paulista:1 molecule:1 phases:2 most:2 letter:1 possible:4 analytically:2 extremely:2 pages:1 appear:2 furnstahl:1 unequal:1 kf:2 consequences:1 frederico:10 ki:41 later:1 points:1 χc:1 pattern:1 dos:1 physics:4 came:1 thomas:1 particularly:2 show:5 delta:1 tecnol:1 dissociate:1 implying:1 iǫ:6 solutions:2 threshold:14 zerorange:1 find:1 ground:5 e19:4 ratio:1 knowledge:2 situations:1 written:2 should:5 analytic:7 only:7 going:1 candidates:1 factor:1 over:1 hope:1 pℓ:1 above:5 de:5 expectation:1 negative:3 words:1 dy:1 years:1 dr:1 twobody:2 dq:1 determinants:1 arxiv:1 redefined:1 tomio:13 mapped:1 analytical:1 fixed:6 doublet:1 view:4 deuteron:1 kernel:2 frame:2 correlations:1 lett:10 relative:4 depends:1 tunable:1 close:6 observed:1 contour:2 techniques:1 brazil:3 fails:1 extend:1 consistency:1 nuclear:2 procedures:1 favor:1 state:56 future:1 kusunoki:1 between:3 boundary:1 approach:8 email:1 yamashita:8 jos:1 recently:1 jy:1 do:2 nature:1 importance:2 alexander:1 focus:1 however:2 cut:13 key:1 analyzed:1 kev:20 iki:1 braaten:3 both:3 last:1 ıfico:1 region:5 conclusions:1 equal:6 sensitive:2 context:3 passing:1 experimental:1 nearby:1 comment:1 relevant:2 cm:3 conclude:1 simple:1 continuation:3 corresponds:1 pole:11 wapstra:1 moreover:1 considering:5 trajectory:7 due:7 been:3 defined:2 cient:1 much:3 interest:4 basic:1 expected:2 abstract:1 dk:5 fig:8 peaking:1 relations:1 corresponding:14 fedorov:2 gas:1 search:1 relevance:1 observe:3 evidence:1 present:14 case:15 look:1 pacs:1 solid:3 appearance:1 value:5 remaining:3 will:8 cast:1 near:7 behavior:6 error:1 orica:1 mechanical:1 procedure:3 generate:1 changed:1 coupled:5 ki2:11 refs:3 binding:11 them:1 im:1 seen:1 mod:2 disappear:1 audi:1 different:6 moves:1 verified:3 lengths:4 suggest:1 make:1 renormalize:1 cross:12 borromean:3 any:1 paulo:2 complex:16 units:1 condensate:2 finite:1 neutron:10 higher:2 independent:3 extended:3 infinity:2 see:8 estadual:1 trajectories:1 effect:2 hand:3 never:1 potentials:1 changing:1 estado:1 contribution:1 recent:1 relies:1 weakly:1 kept:1 center:1 makes:2 well:6 analysis:7 feshbach:1 spectator:5 studying:1 position:1 model:4 laboratories:1 parametric:1 left:2 glazek:1 unesp:2 adhikari:7 being:3 proximity:3 obtain:5 effects:1 atomic:3 ogico:1 scattering:42 previous:3 renewed:1 preprint:1 phillips:2 point:2 character:1 nacional:1 valid:4 treatment:2 easy:1 evidenced:1 formal:1 warrant:1 excited:11 momentum:7 divided:1 real:3 increased:4 disappearance:1 innsbruck:2 term:2 increases:1 campos:1 using:8 occurring:1 necessary:2 like:2 particle:6 follows:1 efimov:32 specific:1 hammer:4 integrals:3 δi:1 become:2 therein:1 delfino:2 right:1 mohr:1 phenomena:1 respect:3 indirect:1 scale:1 lippmann:1 resonances:3 integration:1 contrast:1 does:2 prof:1 conselho:1 refer:1 core:7 faddeev:1 denominator:1 arbitrary:2 agreement:1 expansion:1 br:1 imaginary:1 exciting:2 properties:8 comparison:1 about:1 amado:4 extension:1 extending:1 discussed:1 triatomic:1 range:4 positive:4 introduced:1 triton:1 homogeneous:1 sheets:1 presence:1 h2:1 into:4 integral:4 bound:56 three:39 pair:2 references:1 bulgac:1 van:1 elastic:19 comparing:1 removing:1 support:1 long:1 low:6 way:1 resolvent:1 was:6 function:6 form:1 some:2 becoming:1 kronecker:1 but:1 hn:3 related:1 atom:6 line:6 funda:1 raising:1 coupling:1 absent:1 made:1 thibault:1 smooth:1 us:1 considered:3 below:1 limit:3 problem:1 define:1 similar:3 strongly:1 dots:1 associated:2 ai:2 certain:1 universal:1 ao:5 general:1 single:2 exist:1 formalism:2 universidade:1 physical:1 functions:3 dotted:1 no:1 dashed:3 nc:5 when:17 detail:1 virtual:47 schwinger:1 other:6 branch:1 mazumdar:2 conclusion:3 pesquisa:1 helpful:1 peak:3 χn:3 variable:1 refering:1 structure:5 ago:1 auxiliary:3 dω:1 interval:1 dσ:1 together:1 inset:3 dramatic:1 mass:9 e3b:25 far:2 observables:3 nuclei:6 starting:3 original:1 e3i:9 4a:1
0704.1462.txt |@word magnetically:1 abundances:1 excellent:1 edn:1 results:2 garching:1 whose:1 depend:1 technique:2 present:3 th:1 spec:4 brown:1 belonging:4 very:6 unchen:1 electron:1 atmospheric:1 difference:4 vlt:1 mathis:1 large:2 small:1 estimates:1 pasp:1 spectrograph:1 notwithstanding:1 estimated:1 index:1 selected:2 meibom:1 method:6 respectively:1 agreement:4 ionization:1 excess:6 active:1 ratio:2 strong:1 obtained:6 great:1 spite:1 institute:1 study:2 studied:1 amount:1 usually:1 suitable:3 studies:2 plotted:1 apr:1 photometric:2 apj:4 apply:1 pulsational:1 use:1 telescopes:1 few:2 type:1 populations:2 om:1 zoccali:1 impulse:1 particular:1 cases:2 abundance:2 high:4 account:1 rotational:1 rio:1 kovtyukh:1 worth:1 values:1 temperatures:11 evolved:6 henry:1 example:2 valls:1 compare:1 sample:3 titanium:1 performed:1 allowed:1 needs:1 andersen:1 rather:1 di:2 uves:4 chemical:5 galactic:3 modulation:1 max:1 derived:2 diagram:2 improving:1 data:3 eggen:1 effective:8 vanadium:1 spectra:5 lines:8 element:2 fundamental:1 six:1 indeed:1 osservatorio:2 years:2 paper:2 its:1 galaxy:1 derive:2 la:1 masses:1 better:1 degrees:1 fig:2 inaf:3 covered:1 main:1 them:1 good:4 greater:1 evaluate:2 janeiro:1 evolution:1 lesser:1 effects:1 university:1 magnitude:1 each:1 2m:1 spectroscopically:1 calibrations:4 homogeneous:1 telescope:2 series:1 silva:2 measure:1 our:4 randich:1 adequately:1 3rd:1 asp:1 southern:1 reason:2 formation:1 estimate:1 seventy:1 pairs:1 determining:1 could:1 consequence:1 first:1 already:4 cepheid:1 powerful:1 another:1 arribas:2 open:8 ser:1 given:1 temperature:16 introduction:1 their:2 intermediate:4 alonso:3 tool:2 optical:1 favorable:1 representing:1 than:2 population:1 distance:3 observatory:1 silla:1 submitted:1 preparation:1 determined:2 iron:3 were:3 enables:1 san:1 observat:1 spectrum:2 curves:3 strength:1 depending:1 efficient:1 astronomie:1 potential:1 take:1 towards:1 depths:3 most:1 germany:3 preliminary:1 acquired:3 intrinsic:2 especially:1 neighborhoods:1 feros:4 average:2 metal:1 constrain:1 typically:2 fact:2 precise:1 biazzo:8 radii:1 find:4 giant:6 based:4 knowledge:2 parameters:4 gorlova:1 spectrographs:2 only:1 giants:3 means:3 de:1 da:3 methods:1 ones:1 nearly:1 during:1 gray:5 processes:1 arxiv:1 highresolution:1 summary:1 investigate:1 roger:2 contain:1 excesses:1 computed:1 landessternwarte:1 imposing:1 sensitivity:3 sec:1 bei:1 brazil:1 phases:1 exploited:1 favor:1 hipparcos:1 between:7 pasquini:4 importance:1 weak:1 however:1 spectroscopic:6 clayton:1 extent:1 chavez:1 paranal:1 both:2 last:2 catalano:4 many:1 context:1 uringer:1 nearby:1 among:1 conclude:1 color:9 corresponds:1 orio:1 moreover:1 throughout:1 described:1 addition:2 due:3 been:3 mart:2 pc:2 applying:1 ph:1 choose:1 cardelli:1 received:1 ınez:2 argument:1 latitude:2 determination:7 chile:2 clusters:5 catania:2 mct:1 those:3 reddening:6 exception:1 uncertain:1 nordstr:1 aim:1 while:1 investigating:1 thus:1 couples:1 cluster:10 conf:1 ic:14 frasca:5 different:3 italy:2 photospheres:1 make:2 same:1 widely:1 largest:2 several:2 composition:4 european:1 independent:1 used:1 kelvin:1 noticing:1 potentials:1 robust:1 francisco:1 lower:1 well:1 analysis:4 sets:1 position:1 left:1 distances:1 being:1 accurate:2 obtain:1 ldr:9 thanks:1 previous:1 absorption:1 nacional:1 5m:1 spread:1 samples:4 heidelberg:1 resolved:1 explained:1 big:1 astronomico:1 disagreement:1 press:3 systematically:1 signal:1 right:1 teff:9 classical:1 growth:3 ourselves:1 girardi:3 measurements:2 planck:1 does:1 eso:3 cerro:1 demonstrated:1 noise:1 analysed:2 stellar:8 pressure:1 biases:1 ratios:4 found:1 analyses:1 properties:1 comparison:2 about:1 o:1 range:3 insufficient:1 observation:1 cambridge:1 into:1 references:1 inverting:1 determine:1 often:1 uncertainties:1 72e:1 there:2 low:4 stars:21 ed:1 was:3 function:1 hr:1 but:1 astro:1 kueyen:1 properly:1 solar:1 line:6 padova:2 made:2 compute:2 subgiant:1 variations:1 us:3 ur:1 similar:1 detailed:2 wavelength:1 distributions:1 physical:2 calibration:2 amounts:1 field:10 other:1 conclusion:1 elements:1 star:8 excitation:3 astrofisico:1 deriving:1 metallicity:3 suited:1 suffers:1 age:8 curve:1 together:1 depth:2 mass:3 resolution:3 having:2
0704.1463.txt |@word logarithms:1 consider:5 similarity:1 bull:1 results:4 roy:3 scalar:8 proposition:9 computation:3 consists:1 shot:2 denotes:4 centers:4 reynaud:2 devoted:1 excludes:2 careful:1 tz:1 paris:1 daley:12 finally:3 tm:1 tj:29 tk:6 th:2 under:11 stochastic:6 include:1 norm:1 applied:2 conjecture:1 random:18 presently:1 straightforward:1 very:1 void:4 istituto:1 translations:1 corollary:5 vere:12 formula:3 1971a:2 difference:1 rn:17 condition:13 subsets:1 immediately:1 level:2 diverging:3 proc:1 solution:4 t0:1 t1:3 large:40 solved:3 spaces:1 independence:2 small:2 provided:1 epidemiological:1 upper:4 zk:1 estimates:1 measurable:1 rate:26 dynamics:1 linear:3 even:2 nonlinear:1 appear:1 ridolfi:3 section:12 uniform:12 above:15 sup:15 values:2 increasing:2 massouli:7 raton:1 compact:1 whose:3 respectively:6 residual:1 here:10 kerstan:2 boca:1 refinement:4 objects:1 path:13 respect:7 earthquake:4 contraction:1 obtained:2 remark:2 delle:1 rigorously:1 dembo:9 larger:1 contradiction:1 poisson:59 usually:1 studies:1 limx:3 inference:1 family:3 νt:4 apr:1 marked:7 highly:1 specified:1 kamil:1 apply:2 total:2 establish:1 tn:17 use:1 dna:1 asymptotic:6 would:2 prove:20 recalling:2 positive:3 stated:1 negative:3 france:1 comparing:1 eds:1 therefore:27 third:1 spike:1 associated:1 theoretical:2 more:3 comparison:1 artner:13 giovanni:1 ti:3 νx:2 iid:7 domination:1 eθ:9 particular:3 known:3 ozaki:2 cases:2 hold:3 logarithm:2 sample:13 springer:3 valued:2 mc:2 recall:5 equation:2 adv:2 del:2 ulm:1 following:16 necessarily:1 proof:49 seismological:1 continuity:1 weaker:4 give:5 process:71 cited:1 organized:1 purposes:1 sake:1 νe:13 numbers:6 hyperplane:3 offspring:8 ratio:1 information:2 end:1 mutually:2 provide:4 discussion:1 means:1 ens:2 criterion:1 observe:1 answer:1 ancestor:1 stoch:1 fr:1 may:1 max:6 wiley:1 derived:1 mapping:1 ball:1 applications:11 abuse:5 distances:1 applicazioni:1 law:9 data:1 realized:1 short:3 natural:1 johnson:1 computations:2 light:2 spectra:3 explicit:1 electron:1 cosmology:2 hypotheses:1 mark:1 so:2 sn:15 decreasing:1 every:2 order:2 se:2 galton:1 holds:17 correlation:3 indeed:5 over:1 insight:1 stability:2 paper:9 scott:2 statistical:7 existence:1 satisfies:22 still:1 its:2 before:5 perfect:1 ld:4 derive:1 thank:1 decay:1 progeny:1 temporal:1 estimating:1 systems:1 discharges:1 clusters:11 main:2 setting:1 finer:1 non:12 good:13 finance:2 noticing:6 inria:1 bound:7 tails:1 they:2 identically:1 oxford:1 now:21 hall:1 bigger:1 suppose:2 easily:7 equality:2 always:1 queues:1 occurrences:3 unpredictable:3 iff:1 inequality:6 luca:1 each:21 found:3 side:1 mean:4 homogeneous:3 domain:1 neil:2 detect:1 generation:6 series:1 principles:5 related:1 used:6 ex:1 our:3 avoided:1 insurance:1 special:1 out:1 shown:2 space:9 furthermore:2 since:28 ry:1 epartment:1 rd:18 method:1 investigation:1 dominated:4 motifs:1 reader:4 denoted:1 rm:1 get:10 suffices:2 math:4 limθ:1 theory:4 favored:1 monotone:3 given:10 standard:1 ellis:10 surely:2 york:3 biological:1 intermediate:1 beginning:1 additional:3 definition:16 fixed:3 exposing:3 nonnegative:1 place:2 exponentially:6 tempting:1 assumed:2 consequence:9 inst:2 probab:2 qn:7 first:9 origin:2 xk:62 xi:78 xn:13 probability:10 nc0:26 omitted:1 variables:5 number:14 bartlett:2 iac:2 xr:1 open:8 xt:9 ser:1 little:5 derives:1 checked:1 interesting:1 likely:1 similarly:2 introduction:2 structured:1 rasmussen:3 needed:1 assumption:21 draft:1 kµ:3 mα:11 john:1 gives:6 statement:4 centered:4 continuous:6 proving:7 immediate:1 direct:1 nci:35 part:9 authors:1 x0:2 x1:4 than:2 xj:2 ogata:6 distance:1 effective:1 immigrants:11 second:2 submitted:1 claim:15 whenever:1 appealing:2 classes:1 doubly:1 letters:1 treated:1 paths:1 vector:1 generality:1 lines:2 ann:3 sk:10 argument:1 oakes:3 chapman:1 already:1 say:3 need:4 any:14 extremal:1 zero:2 general:5 lim:49 self:5 note:16 instance:7 concerns:1 take:2 interior:2 new:3 coincide:1 realizes:1 exactly:2 shall:3 arguing:1 zeroth:1 measures:1 most:4 satisfying:1 assoc:1 bouret:2 definitions:1 pair:3 acknowledgements:1 class:4 probable:1 branching:5 deviations:25 neighborhoods:2 kk:2 clear:3 coincides:2 dimension:1 points:21 principle:7 exp:58 left:1 notion:3 precise:3 particularly:1 show:18 charles:2 demoulin:2 relation:3 keywords:1 trivial:2 based:3 dividing:1 representation:3 distributed:3 topological:1 lemma:21 only:4 equipped:9 attained:1 preliminaries:2 equilibrium:2 informatique:1 do:2 intractable:1 legendre:1 goes:4 notation:5 bordenave:2 there:13 de:2 expectation:4 marks:2 joint:1 watson:1 dz:3 dx:14 dy:1 applying:3 dt:4 ds:35 differentiating:1 closure:1 processes:69 approach:3 arxiv:1 stirling:1 ac0:2 yield:3 summary:1 mistakes:1 statist:6 activity:1 london:1 fertility:5 nδ:1 valid:1 generations:4 view:1 set:11 computed:1 exists:10 prague:1 j1:1 statistic:1 immigrant:16 edition:2 intensity:15 individual:1 radius:2 result:5 w1:2 terms:1 techniques:1 said:5 inequalities:2 fatou:2 away:2 subsequence:3 tend:3 closed:4 between:1 µe:2 invariant:1 boundary:1 reading:1 conditions:2 hence:7 αt:8 notice:5 recently:1 right:1 wn:3 queueing:1 however:3 wi:1 jn:1 le:2 jj:5 modeling:2 amer:1 topology:19 both:2 essentially:7 consiglio:1 cox:1 taking:3 jt1:2 according:1 ωd:26 chernoff:4 concentrates:2 passing:2 argue:1 expression:1 otherwise:1 arbitrarily:2 ci:22 fields:1 conclude:1 simple:1 belg:1 corresponds:1 2nd:2 dimensional:4 moreover:9 throughout:2 ct:7 pr:1 ensures:1 described:3 restriction:1 union:3 three:1 been:1 implicit:1 belongs:2 ensured:1 interest:1 basic:1 extends:1 pn:4 ak:1 empty:9 define:6 ergodic:9 relations:3 θn:20 quantities:1 formed:2 exposed:1 spectrum:2 θx:21 θy:8 understand:1 generalization:1 mail:2 θs:3 nck:40 c0:10 case:16 davison:2 guarantees:1 exponential:2 laplace:1 value:3 will:2 euclidean:1 while:1 replaced:1 roma:1 behavior:5 irrespective:1 property:1 λt1:5 identical:1 studied:1 αt1:1 almost:2 vi:7 neuron:1 thus:9 yk:5 vn:3 equal:4 cluster:57 claimed:1 supremum:1 dawson:3 containing:1 verified:3 stevin:1 same:7 clearly:3 arguments:1 widely:3 proved:7 finite:13 independent:15 literature:1 infinity:4 see:19 ni:7 reporting:1 hand:2 v1:3 viewing:2 uses:1 αtn:1 completeness:1 αtj:19 αti:39 emaud:8 lower:7 estimation:1 spatio:1 well:2 analysis:1 without:1 sets:9 quantitative:1 model:3 latter:2 usual:5 ck:8 just:1 evy:1 compound:1 obtain:5 rest:1 biometrika:1 ldp:38 integer:3 speed:13 previous:1 letting:7 density:1 point:39 seems:1 limr:1 book:3 combine:1 location:1 easy:1 theorem:75 adl:1 apart:2 remaining:1 real:2 aspects:1 showing:3 papers:1 vα:2 increases:1 press:1 using:13 unique:6 formal:1 loss:1 tail:1 semi:3 calcolo:1 follows:36 ganesh:5 yields:2 arbitrary:1 popular:1 stationary:7 university:1 therein:2 sketch:2 ecology:1 deal:2 sequence:8 absolutely:1 some:10 examples:1 cxi:5 hjort:1 matching:1 superposition:1 specific:2 cnr:2 decision:1 transactions:1 per:5 does:1 assuming:3 steps:3 waagepetersen:4 prob:6 refer:3 conference:1 noise:2 power:1 equivalent:7 rue:1 epidemiology:1 br:8 putting:1 viale:1 exciting:6 super:2 integers:1 o:2 simulation:2 remains:4 a2:2 extensions:1 tailed:2 mixed:1 introduced:1 soc:4 computational:1 statements:1 into:1 functional:3 due:2 because:1 references:2 successively:1 next:2 macci:5 risk:1 statistics:2 log:64 removing:1 strictly:1 ricerche:1 question:1 transform:1 noticed:1 start:5 borel:7 italia:1 zeitouni:9 xµ:2 sections:1 neyman:2 treat:1 function:47 form:2 differences:1 jagers:3 extended:2 idea:1 volume:1 cedex:1 construction:1 convergence:26 line:1 versatile:1 directed:1 supy:1 wise:7 consequences:1 whether:1 2πk:1 smooth:7 bounds:3 us:1 different:1 nearest:1 considered:2 below:3 limit:12 sum:4 fluctuations:2 distribution:6 similar:6 called:5 µx:2 constant:3 ag:1 defined:10 abstract:1 convex:1 picone:1 denote:15 dξ:3 single:1 θi:66 exist:2 borovkov:2 walks:1 nazionale:1 corresponding:1 inf:16 distributions:2 check:6 mauro:1 again:5 functions:5 akaike:2 differentiable:1 no:2 when:1 green:1 nx:33 ny:4 other:3 spatial:17 eθx:3 conclusion:6 deviation:8 briefly:1 chavez:2 simon:1 generates:6 separate:1 models:8 symbol:2 problems:3 acosta:2 a1:5 generated:6 important:2 bounded:2 richardson:1 variable:1 neuroscience:2 møller:11 hawkes:44 structure:5 jones:12 nxt:7 independently:5 implies:2 assume:17 interval:2 interacting:2 together:1 equivalently:1 lift:1 eθ0:2 time:1 appl:8 classical:2
0704.1464.txt |@word limited:1 consider:3 represent:2 results:4 illustrated:1 selection:2 per:2 computation:4 consists:2 follow:1 remarkably:1 faster:1 contributions:2 causes:2 gr:1 simon:1 depend:1 calculate:4 graph:15 arbitary:1 finally:2 present:3 under:1 analogous:2 include:2 resources:2 unnormalized:1 applied:1 performs:2 evolves:1 very:2 focus:1 maximum:1 every:1 affect:1 concatenating:1 bringing:1 splitter:1 presented:1 bn:7 proposals:4 fewer:3 large:3 commute:2 minimal:1 small:1 shows:4 humps:1 equation:2 dis:1 upper:1 zj:1 among:1 za:2 sign:1 fold:1 rate:6 cost:1 ρa1:1 zz:1 rigorous:1 further:1 ρn:6 odd:1 port:3 even:2 aim:1 errors:14 combined:1 iterating:1 giving:1 favour:1 above:2 new:2 increasing:3 journal:1 contrast:1 halts:1 degree:1 respectively:2 never:4 here:1 atoms:1 behaviour:1 tracks:2 selective:4 address:1 active:2 path:7 along:1 ii:2 extreme:1 obtained:1 convert:2 involved:1 larger:4 article:1 round:5 prior:1 accomplished:1 resulting:2 harrington:1 implement:1 suitable:2 makes:1 involves:1 f0:13 useful:2 secure:1 family:1 extra:1 requiring:2 explained:1 logical:19 outcomes:2 put:1 decrease:1 apply:1 resets:1 total:2 research:1 unit:1 plot:5 use:5 feb:1 asymptotic:1 would:1 probabilities:3 negative:1 next:1 scenarios:1 noting:1 overhead:1 therefore:1 taken:3 heralded:1 selects:1 until:2 more:4 separated:1 diamond:1 successful:4 initial:1 marks:1 pairs:11 hein:2 characterize:1 appendix:2 virtue:1 known:2 given:4 producing:2 must:4 states:19 effectively:1 postselection:1 originally:1 mn:1 nullified:1 values:2 stabilizer:4 growing:1 akin:1 example:8 numbers:2 control:7 ions:1 figure:4 give:1 calculation:1 bennett:2 distillation:20 high:3 weighting:1 performed:5 arise:1 handle:1 distinguishable:1 occur:3 ratio:1 information:4 needs:1 recursive:2 provide:2 conversely:1 multiplexer:1 returning:1 feature:2 browne:3 how:4 varies:1 opposite:1 gate:9 those:1 faulty:1 simplicity:1 product:2 ft:3 intended:1 may:7 ancilla:22 after:10 derived:1 mapping:1 modest:1 produce:1 date:1 choice:1 nps:10 diagonal:2 jiang:1 outline:1 purify:1 lines:2 summing:1 ghz:2 purification:6 rather:2 complexity:1 so:1 allow:1 decreasing:1 subsequently:1 operate:1 order:6 operations:11 poor:1 produces:3 attain:1 indeed:1 thresholds:3 damage:1 produced:1 course:1 paper:2 through:2 differs:2 converting:1 fidelity:24 still:1 its:3 before:1 perfect:1 superior:1 difference:1 rapidly:3 chosen:1 interesting:1 temporal:1 imperfection:1 fig:11 orange:1 quant:3 freely:1 lx:2 versus:1 eventually:2 them:2 good:2 affected:1 stabilizers:1 combination:1 propose:1 dan:1 safe:1 number:9 band:1 simply:1 rank:1 they:3 optimal:1 oxford:2 rotation:1 possess:1 easily:1 term:1 kink:1 always:1 university:1 level:6 gaebel:1 2e:1 2f:1 magnitude:3 l2:3 each:16 2n:1 schemes:1 directly:3 series:2 reduce:2 inverted:1 operator:2 frequency:1 mccauley:1 measurement:11 quantum:9 our:14 operation:10 transitions:1 out:1 shown:2 matrix:1 space:3 furthermore:2 since:6 rev:15 denotes:1 increase:1 acting:1 dominated:2 emerged:1 occurs:5 red:1 architecture:1 benjamin:3 pieter:1 mapped:1 pumping:5 possibility:4 cabrillo:1 ask:1 generate:1 fidelities:1 definition:1 depolarizing:6 benefits:1 optics:1 route:1 success:5 times:2 transfer:1 hence:6 onto:1 suffice:1 first:8 origin:1 nxy:3 simplifies:1 probability:15 primary:2 reaches:2 relations:2 another:3 carry:1 reached:1 electronic:1 size:1 differ:1 bears:1 system:2 least:1 1a:1 their:2 1b:1 too:1 structures:3 final:1 imperfect:3 trapped:1 devitt:1 murao:1 assumption:1 optical:4 representing:1 than:9 coefficients:2 za1:1 begins:1 nanostructures:1 2f0:3 target:9 showed:1 require:2 measured:4 likely:1 distill:1 strategies:1 matter:2 embody:1 stricter:1 outcome:5 result:4 fashion:1 generality:1 epr:2 correction:2 measure:2 locations:1 curves:2 raw:2 say:1 need:3 regards:1 any:4 paths:3 implemented:1 jour:1 zero:1 raussendorf:4 lim:1 rudolph:1 aside:1 mechanism:1 targets:1 polarization:1 edge:4 take:3 ancillary:1 performance:1 detector:1 many:2 channel:9 blue:2 multiple:1 shall:2 reach:1 fitzsimons:1 most:1 eisert:1 propagate:1 significant:3 pair:4 probabilistic:2 class:2 goyal:2 clear:1 later:1 cover:1 face:1 part:3 sources:2 typically:1 away:1 walking:3 signatures:1 show:4 text:1 random:5 halting:3 bring:1 zp:2 stepping:1 pump:1 threshold:1 scarce:1 aggressive:1 find:1 indicator:1 based:8 za2:1 entangling:10 distributed:5 state:35 controls:1 considering:1 only:7 factor:1 local:16 oct:1 achieve:2 dn:7 do:1 over:2 dominant:3 subspaces:1 notation:1 get:2 dependent:1 overall:1 expectation:1 beam:2 unimportant:1 outperforms:1 bilateral:2 earl:2 evolution:3 resource:2 whilst:1 approach:1 arxiv:1 yield:4 qc:3 common:1 liable:1 set:1 exists:1 notice:1 flip:3 detection:1 ancillas:16 see:3 computer:1 projections:2 discussions:1 kok:2 lost:1 frugal:1 ways:1 subsequent:1 review:6 sites:2 label:1 enough:2 αd:2 between:12 invariant:1 irc:1 tolerance:4 available:2 comparable:1 spectroscopy:1 extend:1 nature:2 qubits:30 however:8 implementing:1 derive:1 key:1 bose:1 configuration:1 remaining:3 barrett:1 both:7 protect:1 fault:3 density:1 equal:3 against:4 emit:1 marked:1 dated:1 qubit:9 experimental:1 otherwise:3 splitters:1 anti:1 relevant:2 cn:10 bell:20 simple:1 asymptotically:1 corresponds:1 walk:6 represented:1 exploit:1 werner:10 non:3 blending:1 wider:1 erased:1 ps:12 pp:1 described:2 cavities:1 capable:1 addition:1 create:1 copies:2 been:1 strategy:2 logarithmic:1 pd:4 expected:3 transformed:1 ph:3 systems:1 direction:1 observable:2 sufficient:2 remark:1 wish:1 bulk:1 repetition:1 protocols:18 case:2 main:1 pacs:1 kimble:1 value:3 act:1 will:8 cast:1 dephasing:3 xl1:1 error:30 aid:1 procedure:5 changed:1 thus:1 site:2 couples:1 cluster:1 expressions:1 bias:1 duan:2 accounting:1 pronounced:1 orthogonal:4 alone:1 halt:1 different:8 author:1 make:1 cross:1 same:3 qip:1 potentially:1 emphasize:1 pauli:5 distilled:7 physical:6 higher:4 independent:1 used:3 disadvantages:1 numerical:1 upon:4 effect:1 levels:1 uses:3 entanglement:25 contribution:1 normalization:3 recent:1 lower:1 traps:1 changes:1 well:3 roughly:1 analysis:3 without:1 severe:1 materials:2 comes:1 centres:1 position:1 model:5 paradigm:1 gates:2 protocol:25 proposed:1 less:1 being:3 obtain:1 ideas:1 proposes:1 select:1 thanks:1 integer:1 campbell:2 purified:1 previous:3 note:3 kilin:1 change:1 similarities:1 photons:2 point:3 seems:1 source:2 zl1:1 lett:7 easy:1 zl2:1 input:2 consideration:1 occurring:1 excited:2 build:1 identical:1 nielsen:1 represents:1 possible:2 increases:3 five:3 entangled:3 distillable:1 using:5 bit:3 highly:2 correcting:1 essential:1 loss:1 necessary:1 like:1 excluding:1 reduces:1 performing:3 continue:1 steps:4 either:5 output:1 works:1 reduced:3 parity:8 because:2 sequence:1 conditional:1 some:7 back:3 calculated:1 erase:1 examples:1 a11:1 rapidity:1 a10:1 provided:4 projection:2 tracked:1 cavity:1 measurements:4 l1:6 eliminate:2 superiority:1 kwek:1 three:1 demonstrated:1 refer:2 measuring:2 core:1 biased:3 noise:29 obey:1 reaching:1 selecting:3 equivalent:2 processing:1 constructive:1 step:3 although:1 hadamard:1 plots:1 post:11 noisy:10 gained:1 comparison:2 about:1 neighbours:1 distilling:1 oi:1 basis:5 discussed:1 chance:2 constituting:1 briegel:6 range:1 a2:10 beige:1 ox:1 mixed:4 graphically:1 letters:2 a7:1 communication:1 into:7 within:5 rotations:5 bound:1 due:1 down:4 phase:15 ηt:1 a8:1 elementary:1 accumulated:2 fixing:1 rounds:11 significantly:1 a3:1 infidelity:2 hollenberg:1 additional:6 assumed:1 housing:1 there:2 approximate:1 long:1 width:1 restricts:1 joseph:1 way:3 was:2 naturally:1 function:1 form:4 regard:1 but:3 idealized:1 failure:1 repeated:3 repeatedly:1 attainable:2 line:3 proposal:3 coupling:1 reset:1 restarted:1 type:1 robustness:1 up:1 ur:4 below:1 growth:1 limit:3 uk:2 pumped:1 a4:1 called:1 ac:1 computing:3 defined:1 certain:1 describe:2 general:1 single:7 a12:1 ax:1 dawson:1 check:1 regime:1 dotted:1 no:1 dashed:1 whereas:1 when:13 nz:2 other:4 brings:1 department:1 nv:1 conclusion:1 optically:3 repeat:1 denote:1 generates:3 separate:1 models:1 time:4 wrachtrup:1 prepared:1 a1:10 generated:2 important:2 a5:1 allowing:1 suited:1 a6:1 a9:1 depolarized:1 dephased:5 structure:3 building:2 suffers:1 longer:1 physics:2 required:2 curve:1 inset:1 already:1 4f:1 once:2 requires:1 labelled:1
0704.1465.txt |@word limited:1 extrapolated:3 luminosities:1 edu:1 dish:1 follow:2 alt:1 contributions:1 cases:2 compact:7 whose:2 program:5 those:2 division:1 updated:1 very:2 every:1 outer:1 vast:1 level:1 did:1 positions:1 list:1 sliding:1 large:4 indices:1 postdoctoral:1 threshold:1 rate:1 multiwavelength:2 spectral:9 index:1 errors:1 sub:1 selected:6 cell:1 above:3 3c:3 new:4 method:2 full:1 arcsec:4 gathered:1 unobserved:3 component:1 here:2 met:1 objects:8 operating:1 excess:2 active:2 november:1 observing:1 obtained:1 search:2 parameters:1 leaves:1 prior:1 preferentially:1 survey:6 cta:1 changes:1 via:1 apr:1 requiring:1 fuhrmann:1 apj:2 counts:2 confidence:1 usa:1 nine:1 contains:1 properties:1 few:2 therefore:1 criteria:1 prep:2 blazars:12 more:2 flat:1 started:2 glast:5 particular:1 known:1 hole:1 md:1 science:3 averaged:1 erg:8 values:2 growing:1 compare:1 relativistic:3 sample:13 performed:2 counting:1 information:2 monitoring:3 provide:2 travel:1 far:1 criterion:1 low:1 significance:1 flares:1 parameter:1 circular:1 galactic:2 description:1 superluminal:1 may:1 demonstrates:1 lab:1 lac:1 kalberla:1 produce:1 law:2 data:11 spectra:3 so:2 allow:1 correlation:1 order:1 operations:1 wavelengths:2 xselect:1 over:1 mainly:1 mission:2 years:1 including:1 statistical:1 still:1 its:3 before:1 rapidly:1 monitor:1 fit:1 acknowledge:1 energies:1 temporal:1 l77:1 writing:1 detected:4 systems:1 archival:2 universität:1 band:2 now:1 structural:1 name:1 purdue:1 gal:1 applied:1 mode:1 each:1 found:6 sato:1 telescope:1 energy:1 hard:5 related:1 connect:1 wavelength:1 approximated:1 teams:1 extract:1 event:1 out:2 space:1 since:1 research:1 dominated:1 vlbi:4 vlba:1 associate:1 galaxies:4 standard:1 base:2 formation:2 brightest:4 asi:1 alert:1 beginning:3 telescopes:1 advance:1 times:1 conducted:2 4th:1 loud:1 assign:1 speeds:1 first:7 blind:1 powerful:1 number:2 rank:8 surveys:1 lister:2 jet:4 5th:1 burst:1 least:1 intermediate:1 observations:12 phd:1 iau:1 exposures:1 completed:2 uvot:2 lists:1 part:1 frascati:1 authors:1 than:1 observed:4 project:3 sed:4 were:3 mojave:22 interferometry:1 exhibit:1 correction:1 spectrum:2 cleaned:1 quasars:1 ray:25 able:1 majority:1 fitting:1 absorbed:2 xrt:6 markwardt:2 relatively:1 trace:1 swiftly:1 react:1 germany:1 plan:1 significant:3 future:1 intrinsic:1 class:1 annulus:1 calculated:1 gather:1 dof:1 proceedings:2 optical:2 typically:3 fact:1 pks:11 selection:1 show:1 absorbing:2 bright:5 radio:21 keywords:1 find:1 based:1 just:1 northern:4 peculiar:1 black:1 regularly:2 ranking:1 da:1 report:4 homan:1 bat:10 densities:2 arxiv:1 yield:2 acknowledgments:1 nrao:4 processed:1 16th:1 available:3 set:1 thesis:1 observes:1 acquired:1 sensitivity:1 detection:3 see:2 individual:2 radius:4 close:1 goddard:1 detect:1 extragalactic:3 currently:2 xray:1 determined:1 arrival:1 variability:3 never:1 statistically:4 complementary:1 complement:1 spectroscopic:1 concentrate:1 key:1 jets:6 kev:6 swift:11 comparably:2 improve:1 both:1 10th:1 many:1 region:2 according:1 connection:1 ranked:4 kellermann:1 exceeds:1 whole:1 cm:15 simple:1 table:3 pw:1 instrument:3 addition:2 been:7 pc:1 interest:1 basic:1 expected:1 ph:1 website:1 aj:1 flight:1 deeper:1 quantities:1 photon:4 χred:1 observe:1 sambruna:1 present:1 case:1 multi:1 publicly:1 pacs:1 value:2 will:4 while:1 ongoing:1 behavior:1 characteristics:2 italy:1 suggests:1 fill:1 events:1 status:1 used:1 http:1 hand:1 average:1 tueller:3 robust:1 center:3 blazar:1 well:1 analysis:1 picks:1 coordinate:1 position:2 model:1 quoted:1 being:3 sources:15 aspect:1 coordination:1 monitored:2 density:1 absorption:2 sky:6 capabilities:1 signals:1 source:12 pile:1 board:1 relevance:1 plasma:1 unprecedented:1 march:2 increased:1 bands:1 breaks:1 milliarcsecond:1 five:3 mushotzky:1 background:2 using:1 aiming:1 like:1 excluding:1 signal:1 flux:6 detections:1 seyfert:1 either:1 www:1 because:1 old:1 some:2 play:1 imaged:1 hartmann:1 ejections:1 broadband:3 broad:1 bonn:1 core:1 power:2 bl:1 barthelmy:1 bh:1 greenbelt:1 analyses:1 supermassive:1 about:1 central:1 column:2 months:2 2cm:1 range:1 ox:1 efforts:1 gamma:4 skinner:1 faint:1 previously:2 instruments:1 down:1 gehrels:2 references:1 burton:1 statistics:1 additional:1 area:1 measured:1 inner:1 astrophysics:1 kadler:2 was:2 ksec:3 naturally:1 lowest:1 complete:5 registered:1 but:2 astro:2 sdc:1 line:1 highest:1 count:1 wish:1 uv:3 up:5 us:1 below:1 continuously:2 distribution:1 stages:1 similar:1 called:1 expect:1 detailed:1 later:1 giommi:1 abstract:1 arnal:1 single:1 our:6 morras:1 distributions:1 bajaja:1 regime:1 nh:2 compared:1 ideally:1 tentative:1 when:1 other:4 role:1 nv:1 deviation:1 important:4 suited:1 variable:1 exposure:1 agn:7 longer:1 calls:1 physics:1 4c:5 nasa:2 time:6 cores:3 nuclei:1 resolution:1 having:1
0704.1466.txt |@word monte:14 concept:1 allowed:1 consider:11 remarkable:1 believed:1 desirable:1 results:26 leads:4 eds:1 code:2 fortiori:1 comments:1 computation:1 partial:1 conservative:1 decisions:1 reasoning:1 poorly:3 certainly:2 depend:2 ron:1 shrinkage:5 mutatis:1 april:1 finally:1 foster:2 matlab:1 th:4 under:10 mutandis:1 analogous:1 enjoying:1 presentation:2 worth:1 case:22 risk:25 orthogonal:1 far:4 alternatives:1 sprott:1 rise:1 emphasizes:1 hodges:11 choice:5 suggesting:1 fan:33 decide:1 summarized:3 frailty:1 difference:1 newly:1 condition:8 entire:1 pre:2 obvious:1 immediately:1 presented:1 diverging:1 knight:4 solution:1 occurs:3 large:7 tools:1 vector:5 yale:1 small:1 eroding:1 inspection:4 noted:3 enjoy:1 smaller:2 says:1 grateful:1 findings:2 bock:2 construed:1 consistent:8 estimates:11 direct:1 sign:1 zero:24 design:2 further:6 implemented:1 carlo:14 linear:13 even:8 index:1 what:3 errors:6 richard:1 witnessed:1 section:8 brief:1 uniform:2 reminiscent:2 version:3 3n:1 above:4 sup:19 suppose:1 construction:1 increasing:5 method:1 contrast:1 satisfy:7 multivariate:3 led:1 ibid:1 respectively:3 ǫt:5 component:7 equals:1 here:6 reported:1 them:1 others:1 directions:1 consideration:1 november:1 quite:6 appears:1 every:2 remark:1 suitably:2 institute:1 study:9 vectors:1 hosoya:3 extremes:1 resulting:7 aic:2 portions:1 suitable:1 makes:1 fitting:1 readability:1 diameter:1 via:2 regardless:1 projection:1 bounds:2 apr:1 highly:2 scaled:9 texts:1 penalized:8 issue:1 apply:3 establish:1 use:1 asymptotic:12 would:1 prove:1 remains:3 positive:2 continuous:1 contains:1 nonconcave:2 next:1 therefore:1 criteria:1 taken:4 themselves:1 nonstochastic:2 type:9 entails:1 minor:1 more:19 benedikt:1 winston:1 hannes:1 holt:1 scad:27 appendix:2 observations:2 particular:10 known:4 foundations:2 hold:5 iii:5 had:1 scandinavian:1 topic:1 springer:2 balls:3 indicates:1 recall:1 setup:37 ρn:2 cai:2 bias:2 values:10 nonlinear:1 description:1 following:3 akin:1 example:4 proof:15 wang:4 figure:24 give:3 cited:1 thresholding:3 confused:1 sample:32 unbiased:1 assumptions:1 something:1 sense:4 association:3 forms:1 guarantee:3 fpe:1 information:3 regularization:4 end:1 rather:2 verify:1 discussion:7 holds:3 statisticians:1 feature:2 regions:3 very:2 misleading:3 criterion:1 instead:1 ordinary:2 absolute:4 parameter:39 belongs:1 simplicity:1 fu:4 may:4 adaptive:1 earlier:3 derived:1 23a:1 hazard:1 hence:6 wrong:1 designed:1 summarize:1 rinehart:1 concentrating:1 response:1 types:1 moments:1 whenever:2 slightly:2 author:1 lines:1 correspond:1 st:1 perhaps:3 si:2 so:5 correlation:1 worst:11 nonsensical:1 se:2 rounded:1 dx:3 pointed:1 satisfied:3 years:2 course:3 paper:6 including:2 statistical:10 mentioned:2 satisfies:5 still:2 its:9 before:2 superior:1 longitudinal:1 fit:1 chosen:8 expectations:1 coordinates:2 li:32 peng:2 ls:1 derivative:1 variables:1 happens:1 maximal:15 ri:3 non:3 good:3 return:2 yn:2 press:1 nickl:1 number:2 scaling:2 framework:6 equidistant:3 rank:1 they:2 identically:1 now:12 yt:2 nor:1 easily:2 deteriorates:2 1986a:2 always:1 university:3 applied:1 inequality:2 editor:1 truth:1 each:5 likelihoods:1 higher:1 rk:14 mean:22 en:9 series:4 contiguous:1 hard:2 idea:1 related:5 joined:1 society:1 used:4 measure:1 unboundedness:1 beyond:2 special:3 out:5 gallant:1 shown:7 matrix:2 space:6 furthermore:4 since:4 squared:18 denotes:4 re:4 adapt:1 performs:3 denoted:1 surprise:1 get:3 squares:16 suffices:1 correct:3 math:1 shows:14 after:1 theory:9 frank:2 confidence:1 standard:4 pitfalls:2 york:2 members:2 likelihood:9 finite:16 ontario:1 additional:1 waterloo:1 created:1 dubbed:1 phrases:1 tibshirani:2 nonnegative:4 turn:1 conducted:1 undesirable:2 leading:2 consequence:2 view:3 subvector:1 first:6 origin:3 features:1 probability:5 hazards:1 possessing:4 supplement:1 primary:1 thereof:1 normality:2 another:3 neighborhood:3 precisely:2 open:3 george:2 xt:13 size:18 given:12 necessarily:2 unfavorable:2 similarly:1 introduction:1 unknown:1 amsterdam:2 least:22 fiction:1 their:4 rates:1 too:1 justified:1 brevity:1 enforce:1 perfectly:1 final:1 gives:6 centered:3 favorably:1 reversed:1 exactly:2 circulated:1 immediate:1 overview:1 part:1 parsimonious:1 purposes:1 than:13 royal:1 toronto:1 holland:2 imply:1 limiting:1 nevertheless:1 symposium:1 yang:3 surprisingly:1 covariate:2 exhibit:2 bridge:5 enforced:1 generality:1 footnote:1 correction:1 curves:3 latter:1 randomly:1 sometimes:1 substantial:1 qualitatively:2 seen:1 element:1 apparently:1 any:9 complete:1 generalizes:1 estimated:2 lim:10 eter:1 converges:4 note:11 instance:1 belief:1 wishart:1 zou:2 objective:1 performance:30 coincide:1 concern:1 hajek:5 gains:1 play:1 towards:1 multiple:1 trace:4 though:1 price:2 knew:1 sequence:4 paid:1 most:1 said:1 connected:1 contrasts:2 acknowledgements:1 measured:1 class:5 especially:3 surprising:1 considered:7 later:1 stronger:1 brought:1 dimension:1 traditional:5 replications:2 proceedings:1 points:2 verlag:1 left:1 normally:2 notion:1 fact:4 favorable:2 impression:1 selection:31 phenomenon:5 show:4 random:1 minimizing:1 relation:2 threshold:1 data:2 find:2 impact:1 based:9 parameters:4 distributed:4 should:3 penalty:2 lemma:4 only:11 annals:6 factor:4 attained:1 identification:1 local:7 over:9 inferior:1 do:6 goes:3 means:1 df:2 lehmann:2 between:8 overall:3 expectation:1 cannot:1 words:2 new:5 combinations:2 compute:1 parlance:1 interpreted:1 procedures:4 neither:1 secondary:1 prime:1 gray:1 exhibiting:2 conditions:6 transposition:1 arxiv:1 median:11 tuned:5 bad:6 nλ:9 spiked:1 through:3 fixed:2 econometric:5 approaching:2 coefficient:1 set:7 bunea:4 ser:1 testing:1 freeze:1 relative:28 y1:2 see:12 radius:2 result:8 close:4 forthcoming:1 subject:1 surfaces:1 practice:1 satisfying:4 consistency:1 subsequent:2 diverge:1 symmetric:1 various:2 simplest:2 enjoys:1 misguided:1 knowing:1 terms:1 statistically:1 extend:2 importance:1 however:6 chemometrics:1 prediction:1 extent:2 modeling:1 problem:3 restrictions:3 essentially:1 improved:3 limits:2 many:1 equal:5 commensurable:1 ln:11 semiparametric:5 iv:7 context:3 exceeds:1 variance:6 estimation:7 whole:1 finds:1 experimental:1 otherwise:2 among:1 uniformity:1 key:1 point:7 simple:2 guaranteed:2 asymptotically:3 cf:4 whatever:1 dimensional:2 simply:1 right:2 wider:1 associated:1 throughout:1 along:1 considering:1 better:1 strong:1 described:4 tuning:8 second:1 basis:1 locally:2 markedly:1 been:3 legend:1 much:3 axis:1 asymptotics:2 interest:2 judging:1 expected:1 pn:11 realize:1 define:2 obtained:3 direction:1 θi:3 corresponding:4 clipped:2 both:4 exempt:1 covariance:1 observe:1 graphics:1 denote:3 censored:1 those:6 paying:1 classifications:1 stochastic:1 frozen:1 beats:1 value:4 choices:2 will:2 while:3 warning:1 replaced:3 behavior:9 error:31 report:1 situation:2 property:40 procedure:7 studied:1 vi:4 von:2 simulations:6 thus:3 contiguity:3 according:1 ii:9 regularity:1 itself:2 supremum:8 regression:15 around:2 different:4 present:1 etc:1 perform:8 suggest:2 ishwaran:1 cross:5 same:8 clearly:3 unity:1 parts:1 largest:1 achieving:1 figures:1 several:1 infeasible:1 grows:1 conflict:1 difficult:1 independent:3 detrimental:2 literature:2 infinity:10 numerical:1 upon:1 effect:2 uses:3 frequently:1 recent:2 lower:4 scenario:2 possibly:1 charges:1 possessed:1 variety:1 well:14 analysis:3 obviously:2 academic:1 without:4 does:3 components:15 relied:1 coordinate:3 model:54 parametric:2 possesses:3 usual:1 criticism:1 proposed:1 less:8 being:2 when:8 1986b:2 effects:1 biometrika:2 underlying:2 identify:1 predicts:1 advertised:3 facts:1 inference:6 paul:1 λn:2 lasso:5 guise:1 deceiving:2 density:1 ease:1 slices:1 seems:2 except:2 discuss:1 reasons:2 nonegative:1 setting:1 extends:3 location:1 samples:6 theorem:18 compares:1 tell:1 guarantees:2 generalized:6 identical:2 tests:2 march:2 increased:2 stein:2 represents:1 showing:1 implications:1 bic:3 corresponds:1 department:2 increases:4 inflation:1 judge:2 using:2 ams:1 technometrics:1 helpful:1 loss:16 casella:2 boundedness:1 imposed:1 like:2 semi:1 sizes:6 follows:3 comparability:1 δn:1 sparsity:31 continue:4 either:1 sparse:17 arbitrary:6 componentwise:1 pointwise:7 mathematical:1 poor:1 beneficial:1 because:5 often:4 namely:3 smoothly:2 absolutely:1 flatter:1 easy:1 some:15 understood:1 examples:1 sight:1 escape:1 econometrics:1 nonzero:1 provided:3 scale:1 proceeding:1 dimensions:1 demonstrates:1 minimax:2 normal:6 per:2 otscher:16 critical:2 friedman:2 slower:1 measures:4 run:2 journal:7 virtues:1 setups:12 although:2 post:10 properties:8 panel:2 comparison:3 about:3 actual:2 bimodal:2 pλ:3 discussed:4 o:1 simulation:4 recalling:1 range:13 estimator:78 regressors:8 shared:1 introduced:3 consequently:2 gamma:10 op:5 converging:1 considerations:1 distributional:1 previously:1 unbounded:3 bound:2 due:1 assess:1 cox:1 appropriate:4 weighted:1 references:1 koul:4 estimators:37 operator:1 proportional:1 approximately:2 methods:1 statistics:10 log:7 sup0:2 assumed:2 support:1 there:4 available:1 long:5 anderson:1 quadratic:6 appeal:1 ed:1 replicate:2 was:2 referees:1 vienna:1 function:19 north:2 elsewhere:1 form:5 denoting:1 strengths:1 but:20 volume:1 failure:1 magnitude:1 gain:1 larger:5 line:2 inverted:1 true:24 considerable:1 partially:1 applying:1 whether:2 variations:1 maximum:7 us:1 theoretical:1 below:10 limit:3 today:2 supn:2 demonstrate:2 distribution:10 panels:2 similar:7 called:1 sort:1 diverges:6 constant:1 choosing:3 defined:4 certain:1 abstract:1 general:4 single:1 referee:1 ensuing:1 our:7 request:1 θn:20 inf:5 moves:1 worse:6 effected:1 again:7 compared:2 no:2 whereas:1 generally:5 detail:2 other:9 leeb:12 details:3 papers:1 test:2 mathematics:1 really:1 arithmetic:1 conclusion:1 deviation:2 picture:1 briefly:1 repeat:1 zhou:2 pronounced:5 models:10 variation:3 includes:1 generated:1 important:1 bounded:2 peak:3 additionally:1 shibata:4 variable:4 needed:1 misleadingly:1 independently:1 partitioned:1 assume:1 typically:3 american:3 rule:1 original:1 rosen:2 time:6 oracle:28 n1:15 validation:5 having:1 once:1
0704.1467.txt |@word hº:1 xi:2 xn:1 lσ:1 apr:1 dy:12 ηi:1 cond:1 φid:4 ηc:1 αk1:5 dµ:4 dγ:2 q1:7 ps:1 ρx:1 q2:7 uβ:1 ln:4 1x:2 uα:1 σy:1 dγα:1 k2:7 k1:2 c7:1 αk:1 c10:1 c17:1 sin:1 c15:1 αn:1 stat:1 γci:1 mat:1 dh:2 c23:1 n1x:1 2πk1:1 xº:1 ρy:1 c9:1 uº:1 dx:13 xν:7 x0:1 aº:1 dr:3 vν:3 ρa:10 kb:1 cos:5 mech:1 c24:1 c25:1 c6:1 arxiv:1 c16:1 1y:2 βf:1 n0:1 nα:3 n2:2 os:1 qn:8
0704.1469.txt |@word represent:1 monte:15 scalapino:1 customary:1 consider:13 chain:1 maximum:1 scratch:1 magnetic:1 dynamic:1 results:8 illustrated:5 entropy:1 per:3 during:1 stochastically:3 go:1 follow:1 compact:1 calculate:4 graph:2 technique:1 groundstate:1 finally:1 1930s:1 those:1 under:1 stochastic:4 analogous:1 include:1 overlaps:3 case:9 updated:2 supported:1 amplitudes:10 string:5 advantage:4 orthogonal:2 very:8 account:2 wave:4 suggesting:1 updates:6 upstream:2 experimentally:1 difference:1 exact:10 leads:1 moderate:1 hamiltonian:5 evertz:3 turns:3 list:2 solution:1 large:7 adjust:2 math:2 destroying:1 small:3 noted:1 dimer:7 configurations:8 lou:1 employing:1 zh:2 monotonous:1 core:1 consistent:1 mila:1 plaquette:1 inconsequential:1 sign:5 approximation:1 zero:6 cost:1 evaluated:5 nbm:1 further:3 qmc:7 estimated:2 carlo:15 spectral:1 index:1 optimize:1 errors:3 appear:1 rate:8 giving:1 sum:3 tupitsyn:1 access:2 optimization:3 dimerized:1 above:1 overcomplete:1 new:3 asen:1 increasing:4 connected:4 method:7 filled:1 counters:1 evolving:1 full:2 simultaneously:1 lee:1 fiz:2 respectively:4 trivedi:1 error:5 here:11 agreement:1 them:3 groups:2 path:3 importantly:2 appears:1 change:5 obtained:5 parameters:1 involved:1 study:1 changed:5 completely:1 trial:29 amount:1 periodic:2 resulting:1 procedure:1 pick:1 complicated:1 studies:4 pairings:1 formulated:1 useful:4 projection:25 figure:1 scales:1 apr:2 substitution:2 marked:1 replace:1 propagations:2 recalculate:1 decrease:1 translational:1 apply:1 total:2 guidoni:1 use:9 projector:13 usa:1 commun:1 probabilities:3 positive:2 tasaki:1 physics:1 next:3 affleck:1 almost:1 sample:1 explicitly:1 ψn:3 therefore:1 hirsch:1 survive:1 until:2 reflects:1 more:9 introducing:1 optimizing:1 multiplying:1 started:1 thus:8 operators:11 factor:1 distribution:6 carrying:2 normalized:2 particular:2 known:2 cases:4 hold:1 must:2 md:3 keeping:3 works:2 sutherland:2 grant:1 mag:1 science:2 mo:3 work:4 worm:1 theories:1 labeled:1 values:1 temperatures:1 following:1 example:1 mz:1 nearest:3 challenging:1 indicated:1 calculation:5 delivers:2 accept:2 states:22 want:1 end:1 downstream:1 rather:2 siz:6 divided:1 bonds:20 whence:1 en:1 write:1 how:4 occasionally:1 reject:2 nachtergaele:1 constraints:1 beach:10 reconfigured:2 fp:3 product:8 mat:6 may:3 after:3 minimized:2 reflect:1 consequence:1 wrong:1 negele:1 deviates:1 physik:1 cancellations:1 improving:1 fi:1 summarize:1 fk:8 parallel:1 sushkov:1 realized:1 short:4 natural:1 imply:1 direct:1 sq:4 odd:1 lines:3 correspond:1 redundant:1 element:5 sk:1 sj:7 si:7 algorithms:3 correlation:3 representation:2 subsequently:1 order:4 prefactor:1 operations:5 acts:4 kuroda:1 laflorencie:1 developed:3 pointed:1 altogether:1 flips:2 characteristic:1 symbols:1 course:5 cambridge:1 same:11 statistical:5 signs:1 diagonally:1 still:1 excitations:3 its:4 before:1 superior:1 accepted:3 x1k:2 surviving:2 general:2 energies:1 blankenbecler:1 decreases:3 better:4 window:1 offers:1 systems:12 defining:1 versus:3 eventually:1 non:5 good:8 evaluate:3 condensed:1 practice:3 doucot:2 marcu:1 reflected:1 monotonic:1 they:1 hundred:1 now:5 discuss:8 developments:1 eigenvalue:1 term:2 several:1 prokof:1 alet:1 fully:2 university:1 drop:1 labeling:1 2d:4 sufficiently:3 magnitude:2 each:11 advantageous:1 universit:1 higher:1 bond:32 el:1 schemes:1 another:3 weight:15 series:3 energy:21 hard:1 related:5 pauling:1 expect:2 measure:1 quantum:13 our:5 happen:1 transitions:1 eq:4 spinon:2 es:1 out:20 shown:4 dominates:1 weihong:1 matrix:7 space:2 tosatti:1 restricted:2 furthermore:1 since:2 rev:25 projected:17 denotes:1 increase:3 eiq:1 acting:4 vector:1 dominated:1 adapt:1 precision:1 rl:5 current:1 illustrate:1 ref:3 correct:3 rj:1 shows:4 foundation:1 turning:1 approached:2 interactions:1 maintains:1 diagonal:11 standard:2 approaches:1 necessarily:1 advantages:1 eks:2 estimate:2 e1:1 e0:6 shortest:1 rewritten:1 sweeps:3 definition:2 pairs:4 fixed:1 sugar:1 created:1 could:4 triplon:1 iterative:1 so:7 triplets:3 creates:1 length:9 cullen:1 due:1 hence:3 teor:2 onto:1 first:8 dmr:1 already:3 features:2 probability:9 number:22 theoretische:1 smaller:2 done:3 fast:1 directly:1 changing:1 carry:1 open:1 horizontal:2 size:4 given:4 law:1 temperature:3 needed:1 introduction:1 system:9 construct:1 their:5 added:1 chem:1 majumdar:1 calculations:6 convention:1 consistency:2 variational:19 final:3 presented:1 gives:8 exploring:2 way:5 relationship:1 mambrini:2 tool:1 exactly:1 lists:1 measurable:1 x2:1 healed:1 pisma:1 than:4 updating:2 distance:3 scheme:7 reason:1 showed:1 double:10 enabled:1 second:1 matter:1 kth:1 str:1 were:5 bare:1 beard:1 solely:1 minus:1 projections:1 function:9 motivation:1 fashion:1 ev:1 picked:3 close:4 rewrite:1 ran:2 boston:2 unchanged:1 locations:1 lin:1 randomly:4 buried:1 qualitatively:1 need:2 seen:2 cumbersome:1 clearly:3 contents:1 paths:3 traditionally:1 built:1 min:3 efficient:2 convenient:3 self:18 able:1 mechanism:1 note:3 square:1 take:1 converged:2 green:1 copied:1 circles:1 even:8 continuous:1 beyond:2 sl:1 reach:1 arvi:1 singlet:29 most:1 optimized:15 involving:1 germany:1 but:12 comparing:1 shastry:2 phase:1 sylju:1 extremely:1 manifested:1 exponent:1 y1k:2 considered:3 magnon:2 average:2 later:3 physica:2 bipartite:1 wiese:1 construction:1 tech:1 principle:6 mechanical:1 velocity:1 normally:5 incomplete:1 quantity:1 sector:1 iterations:2 show:6 random:7 converge:1 hb:6 attempts:1 relation:1 svistunov:1 tentatively:2 trivial:2 find:2 ground:20 q1:7 henceforth:1 ratio:4 knowledge:1 spite:1 implementation:2 written:3 should:6 recomputed:1 only:20 bases:1 formulation:1 coefficients:1 indeed:1 local:1 over:1 achieve:1 dn:1 do:4 notation:1 santoro:3 dependent:2 expectation:7 joannopoulos:1 ones:1 nearly:1 closely:1 despite:1 sse:3 lattices:5 hij:7 runs:3 die:1 frustrated:2 translating:1 arxiv:1 acknowledgments:1 twice:1 kohmoto:1 stored:2 mapped:1 albeit:1 counted:1 bars:1 set:2 constructing:2 achieved:2 iteration:4 national:1 correlations:5 j1:3 j2:2 flip:2 relative:2 collectively:1 see:1 individual:1 sec:1 result:3 discussions:1 terms:7 ark:1 optimum:3 momenta:1 prototypical:1 reproduced:1 phases:3 exploited:1 interacting:2 discretized:1 ways:1 pattern:1 away:1 currently:2 sites:17 yet:2 initially:3 state:116 un:1 various:1 between:4 propagated:9 boundary:1 approach:2 tried:1 multiplied:1 triplet:34 recently:4 amplitude:10 nature:1 importance:3 wl:3 wk:1 however:8 jn:3 survivors:1 wr:9 fluctuations:1 configuration:2 holds:1 regular:1 improve:1 both:3 essentially:1 improved:1 2n:1 x2k:2 taking:3 according:5 flipped:1 enabling:1 chosen:5 became:1 operating:1 mean:1 expression:2 considering:1 among:1 aizenman:1 cn:1 point:1 simple:4 deviating:1 asymptotically:1 sweep:2 sampling:6 dimensional:1 pm:9 simply:4 bα:2 maximize:1 table:1 points:1 kp:1 pr:20 forms:1 consuming:2 singlets:4 basis:40 addition:1 create:1 acceptance:10 three:3 been:8 nachr:1 underlying:1 defined:1 much:4 jb:1 anisotropic:1 sachdev:1 utilizing:1 columnar:5 ottingen:1 pl:5 fig:20 sjz:5 enable:1 corresponding:5 quantities:5 formed:2 requires:1 gap:3 ensuring:1 astron:1 c1:1 c0:3 spin:27 former:2 present:1 spinons:1 applied:1 p0:9 p1:1 exponential:2 tang:1 straight:1 expanded:2 value:8 will:12 while:3 p2:1 replaced:2 behavior:1 promising:1 property:2 loop:10 identical:3 vb:30 would:6 played:1 best:6 vi:2 vj:1 vk:17 vl:5 site:5 vn:1 equal:3 vp:9 cluster:1 vr:2 itself:2 cond:5 ddimensional:1 caspers:1 ib:1 acquires:1 different:11 propagation:10 lengths:1 things:2 make:1 belong:3 lett:9 elevated:1 any:9 largest:2 products:1 finite:4 ghosh:1 neutron:1 difficult:2 auchli:1 independent:3 used:4 closest:1 cubic:2 i1:3 appreciably:1 i2:2 effect:1 v1:2 v2:2 sandvik:17 liquids:2 unpublished:1 entanglement:1 frequently:1 invariance:1 landau:1 recent:1 weakly:1 off:6 makes:1 substantially:1 depending:1 well:4 deconfinement:1 without:5 dashed:1 model:5 excitation:2 arising:1 whereas:5 left:5 26a:1 poilblanc:1 just:4 being:2 nd:2 obtain:3 actions:1 difficulties:1 diagrammatic:1 jetp:2 anders:1 alternative:3 scattering:1 eigenstates:5 based:2 adv:1 sampled:2 rapid:1 unspecified:1 had:1 except:1 lattice:9 valid:1 combine:1 projects:1 easy:2 diagonalization:2 save:1 solvable:1 eigenstate:1 momentum:9 finitetemperature:1 aspects:1 depends:3 easily:1 devised:1 possible:8 corresponds:1 early:1 fys:1 increases:1 philos:2 destroy:1 reconfiguration:1 using:15 unique:4 massively:1 mod:1 fradkin:1 modifications:1 like:2 excluding:1 kennedy:1 follows:1 eel:2 steps:1 either:1 arbitrary:7 anti:1 valence:10 reduced:1 spins:11 replacement:1 accessible:1 heisenberg:8 because:5 old:2 methods:8 classical:1 successfully:1 some:15 calculated:2 repeat:1 b2:1 respect:1 sorella:2 provided:1 describing:1 dimensions:4 lead:2 measurements:1 thank:1 overlap:14 does:6 assuming:1 prog:2 propagating:1 proc:1 refer:1 measuring:1 destroys:2 metropolis:2 run:1 power:2 ceperley:1 bm:1 equivalent:1 dictates:1 bi:1 expansion:7 wesley:1 step:2 although:2 positions:1 imaginary:1 properties:6 panel:3 about:1 pα:1 carried:4 world:2 constraint:2 discussed:2 hulth:1 o:2 simulation:5 remains:1 range:2 estimator:4 neighbor:3 act:1 moff:4 propagate:1 introduced:5 projectors:4 peak:1 lieb:1 soc:1 computational:1 offdiagonal:1 unnoticed:1 prohibit:1 previously:2 into:7 within:5 integral:1 bound:1 latter:1 down:2 hermitian:1 right:7 references:1 operator:17 often:4 additional:1 few:1 assumed:2 there:9 nucl:1 long:5 dispersion:2 start:1 anderson:5 low:1 liang:9 y2k:2 forward:1 overhead:1 delocalized:1 was:7 suzuki:3 miyashita:1 naturally:1 lowest:3 considerably:1 elsewhere:1 form:5 enough:2 attempted:1 differences:2 kotov:1 oitmaa:1 overlapping:1 pj:4 repeated:1 hi:2 larger:3 convergence:7 implies:1 line:3 considerable:1 made:2 compute:5 lana:1 arrays:1 antiferromagnetic:2 smooth:1 up:6 us:2 antiferromagnet:1 paired:1 below:1 projecting:3 limit:3 capriotti:1 highlight:1 problem:1 define:3 similar:2 clear:1 obtains:1 originating:1 rvb:1 changes:1 partition:1 constant:2 choosing:1 ln:2 devise:1 abstract:1 contribute:2 denote:1 loops:3 single:10 sublattices:5 numerators:1 simulations:14 orders:1 formally:1 moves:1 distributions:1 operation:6 constructed:2 resonating:1 again:2 functions:1 compared:1 ideally:1 no:8 hpr:3 nb:7 when:4 inset:1 sublattice:6 field:2 other:11 role:1 department:1 compete:1 theor:2 nt:2 manhattan:1 expected:3 sqz:7 elements:2 calculating:3 models:2 dies:1 barma:1 describe:1 update:11 selfconsistency:1 generated:7 important:1 massachusetts:1 studied:1 structure:5 independently:1 urzburg:2 faster:2 algorithm:2 typically:8 factors:2 curve:1 rule:1 original:1 capponi:1 overcompleteness:1 weights:1 fact:2 xbk:3 time:6 far:3 parola:1 starting:2 strings:6 once:2