text
stringlengths
0
190k
0704.2614.txt |@word transitions:1 consider:1 results:6 ismail:2 edu:1 follow:1 expressions:1 causes:1 poorly:1 relationships:2 fronts:1 zone:1 swan:9 environment:12 finally:1 critical:1 subband:1 those:2 under:2 include:1 breathing:1 song:1 kcm:2 frequencies:1 activation:1 wave:2 electron:8 strano:3 resonant:7 experimentally:3 difference:1 exact:1 condition:1 entire:1 accompanying:1 issue:1 solution:1 humidity:4 large:3 solved:1 reich:1 demonstrated:1 small:8 louie:5 heinz:2 force:1 smalley:4 perebeinos:2 literature:1 surrounding:1 imply:1 street:1 enclosed:1 further:3 chem:3 rrs:2 scientific:1 blue:4 index:1 sub:2 nano:2 rbm:10 axial:1 experiment:4 collins:1 3a:1 increasing:5 mele:2 outgoing:8 lee:1 respectively:6 even:1 here:2 hundreds:2 water:13 reported:1 mev:24 separation:2 address:2 active:1 based:1 strong:1 z0:8 appears:1 change:10 dry:13 incoming:4 discount:1 shift:13 larger:5 resulting:1 franklin:1 published:4 resonance:8 chang:1 changes:7 plotted:1 diameter:1 followed:1 family:2 scales:3 apr:1 highly:1 visible:1 decrease:2 linearly:1 wang:3 plot:2 use:4 usc:1 bundles:1 charge:4 tabulated:2 few:1 depicted:2 going:1 therefore:1 taken:6 type:1 theoretical:1 diagrams:1 more:1 separated:1 immersion:1 binding:24 emission:1 jorio:2 virtue:2 particular:1 known:2 hole:2 iii:1 circle:1 must:2 high:6 ma:1 room:2 science:4 work:3 modified:1 values:9 control:1 compare:1 renormalization:2 figure:3 choice:1 bennett:1 saito:2 sample:1 indicates:1 walsh:5 numbers:1 galbraith:1 species:2 absolute:1 rather:2 pedersen:2 bgr:10 write:1 how:1 influences:1 parameter:3 charging:1 profile:1 mat:1 may:2 immersed:2 after:2 southern:1 confirmed:1 combescot:1 fits:1 photoluminescence:1 law:1 data:10 jiang:1 correlate:1 quoted:1 spectra:2 avouris:1 maintain:1 green:2 expression:1 vapor:1 order:1 typical:2 integrated:1 ith:1 cutoff:1 indeed:1 over:3 fraser:1 expects:1 kong:1 stability:1 experiments:2 including:1 nitrogen:1 still:1 avenue:1 its:1 mod3:1 fit:6 energies:26 highlights:1 lateral:1 encapsulated:2 peng:1 inal:1 fig:4 stephen:1 mail:1 eǫ2:2 eur:1 non:1 greater:3 dai:2 primary:1 scaling:9 band:5 they:2 half:1 souza:1 singularity:1 now:1 hall:1 dielectric:25 february:1 explains:1 university:4 presented:1 sufficiently:1 mode:18 andrew:1 each:7 found:1 2n:1 higher:1 lorentzian:2 bond:1 commonwealth:1 taft:1 significantly:3 fairly:1 energy:46 kane:3 used:4 bradley:1 resolvable:1 wires:2 measure:2 quantum:4 our:10 approximated:1 ev:11 extract:2 shown:14 precisely:1 quantify:2 rep:9 since:4 rev:22 research:1 looking:1 mediated:1 ecs:1 squares:1 rh:6 occurs:1 red:11 shows:3 disputed:1 theory:1 interactions:2 derived:2 monotonic:1 tial:1 necessarily:1 california:1 definition:1 interaction:13 r0:2 chiral:1 r2:1 determining:1 transition:17 positioning:1 so:2 unscreened:7 isotropic:1 hence:1 first:1 origin:1 excitonic:2 fischer:2 rydberg:3 number:2 long:1 suspended:6 clarity:1 electronic:9 given:4 perturbation:1 temperature:2 similarly:1 benedict:1 leading:2 top:1 yin:5 approximately:1 1a:1 their:3 1c:1 1b:1 capaz:4 1d:1 saint:1 final:1 observations:1 grant:3 relationship:2 serve:1 environmental:1 interband:1 optical:12 believe:1 representing:1 than:11 peaked:1 relative:1 determines:1 third:1 haug:1 accordance:1 double:1 arb:7 tunable:1 exponents:1 determined:2 intensities:1 were:3 powers:1 acquisition:1 displays:1 tangential:3 raman:17 ozel:1 boston:4 cohen:3 spectrum:1 goldberg:8 qualitatively:1 need:1 seek:1 clearly:2 eopt:5 angle:1 zero:1 depending:1 able:2 h20:2 mechanism:1 note:2 fitting:2 potential:4 schematically:2 negligible:2 spectral:1 though:1 sets:1 kam:1 falls:1 most:1 cronin:6 measured:13 interacting:1 ure:1 treats:1 considered:1 average:1 mechanical:2 physics:2 fact:1 quantity:1 show:3 reductions:1 text:1 probe:1 scattered:1 ebind:15 relation:1 find:3 specifically:3 ratio:1 proposed:1 parameters:1 e11:2 explain:1 maultzsch:1 supported:1 should:5 only:2 explicitly:1 screening:13 hauge:2 constant:2 do:1 dependent:1 liquid:1 reps:4 uniaxial:1 despite:3 report:1 during:1 v1d:1 continuum:2 arxiv:1 gaur:1 yield:2 summary:1 investigate:1 predicted:2 set:2 noisier:1 variations:2 observed:5 intensity:12 computer:2 radius:2 result:3 close:3 sem:1 sel:1 contour:2 wire:1 exponent:2 ieee:1 outside:1 figure1:1 between:6 tens:1 across:4 terms:2 vertical:1 nature:4 micelle:3 interfaces:1 ascribed:1 however:2 derive:3 carbon:4 both:5 ell:1 freely:1 heating:1 against:1 called:1 sensitive:1 cylindrical:1 figures:3 dated:1 filho:1 unl:1 experimental:1 cm:13 point:1 reasons:1 effective:5 ca:1 presumed:1 environments:4 dimensional:1 simply:1 cancel:1 table:5 ogawa:2 broadening:1 described:1 addition:1 due:2 been:5 screened:5 zettl:1 much:1 complicated:2 combined:1 interest:1 rao:1 expected:2 mary:1 pl:2 box:1 direction:1 corresponding:1 brar:1 photon:1 precision:1 gap:3 dramatic:1 external:10 encapsulation:1 evidence:1 present:1 applied:1 laser:3 ǫf:1 thomsen:1 solid:2 single:10 value:6 air:2 will:2 near:3 mono:1 eii:8 cvd:1 thess:2 opt:1 concurrently:1 vectors:1 jpn:1 thus:7 surprisingly:1 ii:3 strain:3 itself:1 cond:1 grown:1 different:6 develop:1 author:1 lengths:1 guillet:1 molinari:1 same:10 any:2 shifts:13 units:7 several:1 powell:1 difficult:2 independent:1 investigated:1 peaks:1 tinkham:4 upon:1 effect:9 phe:1 eklund:2 levels:2 kim:1 changing:3 recent:1 lower:1 supports:1 kept:1 modes:5 largely:2 studies:1 well:1 analysis:1 directly:3 materials:1 consistency:2 very:3 model:8 just:2 less:1 percent:1 assigned:1 lefebvre:4 shape:1 underlying:5 predicts:3 immediately:1 useful:1 scattering:2 yet:1 adding:1 preprint:1 coverslip:1 density:1 photons:2 spataru:4 simple:4 belongs:1 lett:11 wet:2 chapline:1 input:1 gs:2 identical:1 insensitive:1 counteracting:1 bands:1 showing:2 spatial:1 possible:1 increases:1 cnts:9 rahman:1 using:2 office:1 tonic:1 appearing:1 particle:15 signal:1 agreement:1 chamber:1 yields:2 works:1 accessible:1 muri:1 indications:1 homma:2 e22:16 evaluated:1 moreover:1 cnt:15 scale:4 dimensions:1 lead:3 esp:3 resonances:2 avoid:1 measurements:3 conservative:1 does:1 tersoff:1 anna:1 2a:1 limitations:1 run:5 2b:1 power:2 ishigami:1 radial:2 ando:2 bu:3 shifting:2 although:1 offset:1 plots:1 stokes:1 about:1 introduces:1 dependence:1 angeles:1 excitons:2 range:4 chou:1 beigi:2 slightly:1 individually:1 soc:3 presence:2 previously:1 within:3 numerically:1 sol:1 nsf:1 bath:1 determine:2 cho:1 zhou:1 takagahara:2 shells:1 transfer:3 stolyarov:2 initial:1 brus:2 trenches:2 los:1 yan:2 low:4 spring:1 was:3 function:10 ef:1 elsewhere:1 differences:1 removes:1 but:3 dresselhaus:6 repeated:1 nanotubes:9 line:4 level:3 nanotube:8 up:1 below:1 graphite:1 spectroscopy:2 heterogeneous:3 demonstrate:1 problem:1 similar:2 calculated:1 associated:3 moore:1 shim:3 defined:2 abstract:1 combining:1 am:3 assumption:1 singly:1 general:1 dashed:1 engineering:5 sfeir:1 hamiltonian:1 again:2 compared:1 nm:2 no:5 exciton:27 whereas:1 when:2 inset:1 other:4 electrical:4 details:1 branch:1 papers:1 department:6 picture:2 stat:1 denote:1 excitation:13 separate:1 models:2 variation:2 spectrally:1 peak:5 structure:2 philipp:1 individual:3 coulomb:3 assume:1 starting:1 together:1 phonon:15 observe:2 mass:1 time:1 appl:1 n2:23 25nm:1 having:2 normalized:4
0704.2615.txt |@word limited:1 homomorphism:4 plenary:1 four:2 obstruction:5 localized:2 factorizing:1 whose:11 aut:43 under:16 γa:2 conjecture:2 cofinality:1 every:38 cmi:2 supports:2 admissible:22 vector:35 limτ:1 direct:8 approximation:8 elegant:2 second:24 eigenspaces:1 even:5 euclidean:5 ˆa:1 above:17 new:15 consisting:6 κe:4 here:5 refinement:6 represented:8 contraction:16 obtained:14 study:2 advantages:3 suitable:2 projection:16 arbitary:1 explained:5 plenum:1 replace:2 total:3 univ:2 unit:2 derivatives:5 would:3 e1:76 bundles:42 negative:1 call:3 therefore:41 m2:1 type:2 zeroes:2 curvature:1 hold:1 must:1 rε:2 springer:2 ih:11 ndimensional:1 work:3 mi:1 rκ:1 theories:1 geometry:1 pontrjagin:1 mr:1 endow:2 example:5 give:4 preserving:3 want:1 describes:1 satz:1 hom:1 how:1 nontrivial:1 classify:1 classifying:1 description:5 replacing:1 after:2 diagram:3 dτa:1 mpi:1 constants:14 gluing:1 third:5 chern:1 descends:7 acknowledges:1 order:6 operations:1 restriction:21 interpretation:2 deform:1 over:111 vary:2 satisfied:2 thesis:1 satisfies:34 before:1 fix:16 easier:1 combination:1 often:1 they:6 represents:4 postnikov:2 invariants:66 retractions:2 properness:4 bonn:2 each:1 side:1 hypersphere:2 used:11 substantially:1 rt:6 rr:4 crucial:1 mazur:5 re:2 ra:2 rb:1 rl:3 rm:23 rn:3 rk:18 mτ:1 gromov:2 linear:28 associate:3 plication:1 free:10 standard:11 admits:5 r0:3 r1:4 r2:1 iso:1 fu3:3 onto:5 already:1 primary:2 rank:11 another:5 sutherland:1 similarly:2 twisted:1 perturbations:4 zeros:1 tom:2 somewhat:1 surjectively:2 target:2 showed:1 princeton:1 approximations:14 project:1 classes:22 mind:1 spectrum:3 seen:1 contents:1 relatively:2 homological:4 convenient:1 latter:3 oriented:20 object:11 metrics:1 bso:1 curie:1 yang:2 sum:10 reductions:1 gauge:13 solutions:3 analogue:4 x1:4 situations:1 explain:3 topological:7 completes:1 constant:16 oct:1 do:3 dk:3 dg:2 de:5 dc:84 da:1 congruent:1 dx:4 dy:6 du:2 dr:67 dp:8 covering:1 cohomotopy:88 twice:1 bad:2 implication:2 riemannian:3 depends:5 projections:5 w1:13 w0:32 discussions:2 dµ:2 techniques:1 µy:1 rings:1 µr:25 µi:8 µc:26 terms:3 extend:1 restricting:1 weak:1 however:3 wi:8 wv:6 wu:7 topology:3 0s:1 essentially:2 0v:1 0y:4 0b:11 0f:1 0e:22 uni:1 adapted:1 α0s:1 conference:2 commutative:2 basis:10 union:7 three:3 been:5 much:2 interest:1 basic:1 expected:5 formalized:1 families:2 θe:4 coherent:1 lift:1 gx0:19 worked:1 spin:1 manifolds:13 applied:4 4we:1 equivariance:1 near:1 suppose:36 applies:9 property:25 leaves:4 cylinder:19 joliot:1 ii:2 characterize:1 cocycle:2 im:3 cone:1 exterior:1 ia:1 ie:5 id:3 memorial:2 make:5 complex:37 descend:2 avoids:1 several:1 isometries:2 independent:10 dǫ:1 i0:1 numerical:1 hand:21 characters:1 subspaces:1 weakly:6 possesses:1 left:9 graded:18 just:8 mills:2 identify:7 family:17 regarded:15 royal:1 qx0:1 belongs:12 easy:8 save:3 possible:1 unique:3 specific:1 intertwines:1 steps:1 arbitrary:3 fibrewise:2 www:2 right:16 sends:1 linearly:1 core:3 linearizations:1 compactifications:1 properties:50 o:155 topologically:4 orthogonally:1 automatically:1 bimodule:3 soc:2 statements:1 presence:3 rotations:2 pair:34 hermitian:13 bielefeld:2 refined:4 wθ:1 segment:1 why:2 accordingly:1 way:29 m1:2 was:3 m0:1 cofiber:7 form:16 denoting:1 cedex:1 wτ:3 compactification:1 welldefined:1 preimage:2 proved:2 abstract:2 proven:1 proves:2 exist:9 dε:13 check:2 constructed:7 no:5 whereas:3 when:26 vanishes:5 role:4 sponding:1 nr:2 functorial:20 models:4 uniformly:1 ξb:25 assume:3 dτ:4 modules:1 factorizes:1 moreover:6 n2:2 concept:1 invent:2 leads:2 computation:3 depend:4 eˆ:2 answered:1 finally:1 elliptic:1 rham:1 stabilizing:4 orthogonal:13 choice:8 orientations:1 exact:10 dim:9 solves:1 presented:1 sǫ:17 gruyter:1 functoriality:1 spectral:4 stands:6 uniform:1 dieck:2 satisfy:5 groups:24 change:1 sobolev:4 vectors:1 usually:1 f0:15 useful:4 diffeomorphisms:5 prove:15 covariant:1 positive:5 νr:3 theoretical:4 dτ0:1 duality:2 okonek:31 wvu:5 appendix:2 cases:3 verified:1 valued:1 sphere:18 cap:1 values:3 following:34 claim:14 degenerate:1 allowed:1 conversely:1 verlag:2 s3:3 s2:1 s1:28 s0:1 write:5 fourth:1 furuta:24 parameter:4 map:199 product:20 may:3 max:2 needs:1 applications:1 representations:1 data:1 compatibility:5 natural:17 sr:11 explicit:4 so:42 sc:6 representation:1 se:3 indeed:12 pointed:23 still:7 group:58 thank:1 summands:5 interesting:6 sζ:1 coordinates:1 τa:2 forms:1 mail:3 main:7 non:24 cocycles:3 introduce:8 now:24 nor:2 term:4 equality:6 stabilize:1 james:1 enlargements:2 spinor:2 en:3 ei:5 fr:1 eb:28 ey:11 es:7 shown:1 space:65 contained:5 formula:41 shows:9 theory:24 mapping:1 homeomorphism:3 complicated:2 inductive:39 axioms:1 e2:59 collapsing:1 first:25 xi:3 subcomplex:6 ono:1 omitted:1 directly:3 ring:11 open:9 given:25 fibered:1 1c:1 seiberg:47 structures:6 gives:5 continuous:10 proving:1 push:13 x2:4 x0:2 copy:1 representing:3 than:7 intrinsically:6 connections:3 unfortunately:2 require:1 bauer:14 ia1:3 ia0:2 ia3:1 ia2:6 spectra:1 ann:1 argument:2 say:4 any:45 functors:4 ideas:3 converges:1 note:31 ideal:3 take:2 interior:2 coincide:10 begin:1 multiple:1 normal:1 satisfying:19 automorphism:26 formulae:8 remarks:1 operate:1 considered:2 later:1 mrs:1 ohta:1 precise:1 show:4 notations:10 spaces:30 decompositions:4 torsor:2 ground:2 homology:2 fibre:1 analytic:2 only:14 explicitly:1 get:20 cannot:6 aθ:1 aν:1 boundary:2 6the:1 yield:2 summary:2 mapped:3 kernel:2 surjectivity:1 up:2 relative:7 namely:1 us:3 points:3 surfaces:1 αp:1 detect:1 ways:1 representatives:6 outside:3 αb:78 between:33 geometric:5 checks:1 αn:2 multiplies:1 article:8 come:2 according:3 called:13 embedding:5 comes:3 filtering:26 bader:2 je:10 ordered:3 considers:1 submanifold:1 informed:1 attaching:2 combined:1 wants:1 direction:1 formed:1 composable:1 andrei:29 those:1 case:32 admissibility:5 situation:4 orientation:12 endowed:3 metric:4 hϕ:4 different:6 develop:2 author:3 same:25 poincar:4 arguments:3 extended:1 assigns:2 trivially:2 delicate:1 invariance:4 markus:1 components:2 model:1 dimension:13 isometry:8 manifold:14 rest:1 segal:7 generator:2 lett:2 contractible:4 complements:4 real:18 sums:2 2w:1 using:46 decomposes:1 identifying:1 automorphisms:11 either:1 multiplicative:1 cr:2 images:2 slice:2 dimensions:1 coker:3 2g:2 decomposition:6 provides:1 o1:1 o0:6 equivalent:5 trivialize:2 injectivity:1 artin:5 oo:2 comparison:1 trivialization:2 origins:1 discussed:1 ob:38 oa:3 practical:2 oy:1 act:4 ot:4 op:5 jκ:1 inclusion:1 image:25 references:2 ηr:6 operator:9 assumed:1 there:41 complete:1 regard:3 pull:8 applying:5 ωp:2 monopole:2 agree:2 detailed:2 ab:20 certain:7 am:8 general:17 ax:3 again:6 completeness:1 mathematik:2 field:2 polar:1 finite:52 symbol:2 a0:33 important:11 bounded:1 studied:1 provence:1 ments:1 starting:1 original:3 consider:23 pointing:1 fa0:1 splitting:3 disc:1 generalize:1 disk:5 αk:6 ty:1 equivalence:15 tr:8 tp:1 tq:1 ti:1 tf:6 td:1 te:1 presentation:8 norm:3 ta:1 mpg:1 belonging:5 kφ:2 very:4 translations:1 induce:1 gz:1 unizh:1 corollary:23 witten:50 difference:10 deformations:1 condition:10 hamiltonian:1 large:8 small:25 assignement:1 neighborhood:4 grateful:1 zero:11 canonical:15 bilinear:1 what:2 section:102 version:6 intersect:2 sup:1 method:5 full:10 christian:29 component:3 equations:3 fu2:6 tµ:1 action:16 quotient:21 via:16 homotopic:7 rkr:1 vir:3 equivariant:43 clifford:3 donaldson:1 takes:3 contains:6 comparing:2 taken:2 more:4 flat:1 operators:15 particular:8 known:2 recall:8 equation:3 det:7 canonically:2 specialized:1 ρe1:1 f1:31 f2:19 ρe2:1 stated:3 projectivization:3 states:1 contradicts:2 numbers:1 sense:10 mapb:1 information:3 respective:1 goal:4 acts:10 maps:76 simplicity:5 ζb:8 fy:6 orbits:1 fa:2 fb:55 fi:4 fo:19 short:1 twisting:1 parameterized:1 fundamental:14 fε:2 developed:1 soon:8 paper:1 existence:5 its:9 picard:1 affine:8 conjugation:2 actually:1 systems:1 might:1 deformation:2 finer:3 propose:1 framework:3 2t:4 easily:3 gets:8 always:5 level:1 2z:1 2e:5 2f:15 inequality:2 2c:5 found:5 universit:2 2i:2 ktheory:1 reduce:2 functor:38 obtains:10 http:2 operation:1 orient:1 leave:1 since:29 induces:13 denotes:4 denoted:5 induced:20 fiber:8 difficulty:1 reason:1 base:14 put:21 beginning:3 definition:20 pairs:19 consequence:4 indebted:1 perturb:1 construct:10 passes:1 differ:1 perturbation:9 introduction:3 least:1 assumption:4 statement:8 bijections:1 part:4 authors:1 norms:2 translation:2 believe:2 knapp:2 determined:1 fˆ:1 motivation:3 teleman:31 tτ:5 tπ:1 lie:1 depending:1 lim:47 self:1 internat:2 τx0:1 liu:1 k0:5 play:2 most:1 tξ:2 tκ:4 ke:1 tζ:5 clear:7 coincides:12 usual:2 relation:9 find:6 parameters:2 assertion:2 factor:5 abelian:2 his:2 notation:3 express:1 actions:4 αb1:2 bˆ:6 transversal:5 e1p:1 arxiv:1 remove:2 set:34 ser:1 see:51 individual:2 descriptions:2 close:8 theoretic:2 preparation:1 smallest:1 probably:1 subscript:1 conditions:4 commute:1 complement:17 vanishing:30 distinguish:1 differentiability:1 endows:1 both:12 thom:14 connection:2 symplectic:1 context:1 whole:1 orientable:1 point:41 simple:3 dimensional:43 ps:1 pv:2 pw:1 fu1:3 pb:1 pa:1 pf:16 pg:6 pe:9 mikio:1 ph:2 empty:2 surjective:3 understand:4 representative:10 p2:39 p3:13 p0:18 p1:31 p4:4 replaced:1 compactness:2 behavior:1 unitary:4 itself:2 vanish:1 result:15 fibers:4 belong:5 products:1 composition:15 development:1 literature:2 assignment:9 dimr:2 domains:1 uses:5 purpose:1 obviously:5 concrete:2 questions:3 λn:1 homeomorphisms:2 kluwer:1 guaranteed:2 theorem:8 transformation:3 euler:8 isomorphisms:12 integer:5 formal:5 follows:17 spinc:25 separately:2 yields:11 essential:1 terminology:4 107a:1 methods:4 some:1 back:9 b0:2 b1:21 b2:12 b3:2 connecting:6 proc:2 bf:23 bb:1 rue:1 step:7 nowhere:9 br:6 bs:1 hilbert:21 idx:4 completing:1 ids:2 idm:1 fredholm:11 idf:3 ide:28 idb:3 into:3 isomorphic:3 locus:12 perturbing:1 institut:1 question:1 long:6 epimorphisms:1 forward:13 sections:12 steenrod:1 line:4 kahler:1 excision:2 uw:1 uq:4 2πih:2 differentiable:3 ur:1 marseille:1 similar:10 torus:4 ub:20 associated:71 defined:72 globally:2 single:2 associates:1 formalism:10 defines:44 composing:6 priori:1 explaining:1 elements:8 problems:2 generated:5 linearization:4 hurewicz:18 structure:17 independently:1 implies:4 required:1 equivalently:4 having:2 gt:1 gr:8 results:9 gx:1 proposition:49 go:4 equivalences:2 compact:44 compose:1 stable:25 include:1 implicitly:2 stabilized:2 putting:5 cellular:6 matrices:2 categories:7 notes:2 pullback:1 configurations:1 smaller:1 l2k:3 jump:12 homuq:1 zw:1 odd:1 index:13 plays:1 cell:3 schauder:1 stabilizer:2 degree:2 respectively:2 fiberwise:25 identifications:2 objects:7 morphisms:47 remark:23 technical:1 involved:1 larger:4 resulting:1 makes:2 composed:3 stabilization:3 apply:9 use:18 remains:2 next:4 injective:7 quotients:1 becomes:3 ρa:1 ρc:11 isomorphism:42 ρe:1 axiom:7 obvious:25 ρt:3 perturbs:1 proof:49 control:3 cokernels:1 chosen:1 process:1 loci:3 assumptions:3 holds:19 varies:1 reducible:1 αkb:12 instead:5 sin:2 multiplication:5 realized:1 introduced:8 element:40 allow:2 morphism:101 lθ:6 casson:1 including:3 banach:1 lb:1 ln:2 4manifold:1 zˆ:1 2e1:3 tsa:4 hauschild:2 choose:9 defining:3 ly:3 monomorphisms:1 αb2:1 dirac:10 university:1 identified:26 sufficiently:16 l2:3 l1:2 crossing:6 identifies:2 subset:1 completions:2 edinburgh:2 leray:3 related:3 our:34 special:1 out:3 category:50 acknowledgment:1 res:2 lecture:1 suffices:14 math:13 completely:1 york:2 re2:2 hence:11 bijection:5 proposing:1 precisely:2 πi:1 system:27 their:3 πp:2 appl:1 ih2:8 ih1:2 foliation:2 retraction:6 subsequence:1 distinguished:3 w2:8 mpim:1 need:7 clearly:2 min:5 able:1 instance:1 concerns:2 gθ:3 connected:5 but:14 definitions:2 intrinsic:2 class:96 stronger:1 fx0:2 construction:38 talk:2 hn:5 fact:10 isomor:1 trivial:22 q0:16 based:1 should:3 lemma:26 ambiguity:1 hopf:2 means:1 words:6 smash:2 differential:5 crabb:5 contain:1 da0:3 fixed:27 view:3 end0:2 moduli:12 modulo:1 computed:3 exists:39 differentials:1 module:1 operates:1 cocyle:1 closer:1 written:1 identification:11 closed:6 invariant:81 neither:2 comparable:1 wk:3 ker:4 restrictions:1 limits:4 freely:1 taking:9 presentations:5 homotopy:47 assure:1 ll:2 ck:5 cj:7 ch:8 co:1 cn:91 cm:1 wall:6 cb:16 cohomology:6 harmonic:2 ce:2 sε:15 sequences:1 cs:1 respect:28 cq:5 li:3 cw:15 cu:2 associativity:1 treat:3 1the:1 define:26 determinant:2 corresponding:11 commutes:1 coherence:2 subspace:12 cos:2 c2:7 c1:7 c4:1 splits:2 choices:2 will:44 monodromy:1 vi:6 vn:4 vu:4 dual:3 generic:1 φa:3 parts:1 units:1 φi:2 φk:2 difficult:1 infinity:10 seibergwitten:4 u1:4 faces:1 effect:1 phd:1 v1:18 v2:17 urich:3 infinite:4 identity:9 modeled:2 well:16 sets:10 position:2 preprints:1 subgroup:3 spherical:1 transitively:1 obtain:27 preprint:2 reasons:1 extends:2 propositions:1 checking:1 know:4 press:1 immediately:1 intersection:2 like:1 δy:6 alternatively:1 diffeomorphic:1 δi:1 become:3 because:12 classical:15 sequence:22 phenomena:2 ideals:2 homm:1 choosing:3 convex:1 leaf:3 avoid:1 does:12 summand:10 intersections:1 cκ:3 winterthurerstrasse:1 cξ:3 cβ:1 tautological:3 cε:7 simpler:1 about:1 extension:1 compatible:10 carries:1 codegree:1 transitive:1 cofinal:18 contractions:1 subbundle:6 h2:4 h0:4 h1:4 h4:2 quadratic:1 rck:1 naturally:1 hx:6 hw:6 ht:10 hk:4 hi:7 etale:1 hm:1 hb:1 hf:3 hd:1 compute:2 whether:1 cells:1 smooth:14 below:3 limit:46 problem:7 int:1 universal:32 pic:6 denote:21 ind:17 inf:2 ing:1 compared:1 virtual:10 disjoint:4 other:20 details:1 branch:2 phism:1 homotopically:3 conclusion:1 june:1 bundle:113 augmentation:1 matrix:1 described:3 ranks:3 factors:2 4c:4
0704.2616.txt |@word lack:1 results:2 plenary:1 leads:1 grateful:1 consists:2 revealed:2 whose:1 inverse:1 depend:2 calculate:2 tx:1 ts:12 shall:2 supported:1 charge:1 those:6 th:4 under:3 include:1 p2:3 conjecture:1 confirmation:1 very:1 rise:1 figs:3 difference:2 exact:2 condition:2 hadronize:2 did:1 turns:1 solution:3 t0:35 large:1 detected:2 imperceptible:1 small:1 c02:4 noted:1 smaller:1 cooperative:1 oscillation:2 trend:1 dealing:1 consistent:1 direct:1 zero:1 further:3 theory:1 even:5 aim:2 what:3 errors:1 ct0:2 appear:1 section:2 near:2 uniform:1 above:10 new:1 learned:1 increasing:1 contrast:1 respectively:2 component:2 here:1 agreement:1 ranges:1 asymmetry:1 mev:1 focused:1 based:1 equations:1 appears:1 obtained:3 unidentified:5 parameters:2 institute:1 study:2 leaving:1 resulting:1 usually:3 formation:2 involves:2 apr:1 integrations:2 color:2 gluon:2 aimed:1 total:1 establish:1 interest:1 conventional:3 proceed:1 usa:2 contains:1 predictions:1 centrality:2 process:2 nucl:9 therefore:1 dnr:1 taken:2 scope:1 theoretical:1 partons:23 elliptic:1 initiated:1 becomes:2 oregon:1 rare:1 cases:1 must:2 states:1 recombination:15 integrating:1 science:1 work:3 reproduce:2 values:4 following:1 figure:2 give:3 calculation:5 relativistic:1 arise:1 grant:1 chiu:1 high:5 collision:1 magnitudes:1 tan:1 distinguishable:1 occur:1 provide:1 hampered:1 how:3 dotted:1 instead:1 ordinary:2 parameter:1 description:4 may:6 use:1 different:2 produce:2 law:1 meaningful:1 parallel:1 short:1 natural:2 dynamical:2 effective:1 hadrons:4 spectra:1 elongation:2 so:8 correlation:1 integrand:1 order:3 talk:3 blind:1 help:1 constituents:1 over:8 find:1 produced:7 course:1 thermal:28 paper:2 through:1 existence:1 still:2 its:4 before:1 write:1 supplemented:1 longitudinal:2 thank:1 fit:3 interesting:1 vicinity:1 exhibits:2 qgp:2 window:2 production:8 fig:1 coordinated:1 main:1 h0:12 texas:1 eugene:1 non:5 good:1 p10:2 framework:2 subtraction:1 they:4 ys:4 now:3 possess:1 2t:1 term:3 stated:1 university:2 presented:1 2x:1 2z:1 factorizable:1 betty:1 reasonable:1 each:2 accompanied:3 side:4 characterized:1 referred:2 heavy:2 determine:1 energy:6 hard:8 related:1 expect:1 our:12 beyond:1 eq:15 out:4 shown:4 dominates:1 acknowledgment:1 factors:1 since:15 rev:7 denote:1 denotes:1 particles:37 collisions:4 denoted:1 ref:1 red:1 shows:2 after:1 linear:1 mω:2 quark:5 x0s:2 reason:2 surely:1 ask:1 generate:1 created:1 motion:1 turn:1 qualification:1 unknown:2 consequence:1 austin:2 first:4 origin:1 xi:1 features:2 number:1 done:4 approximately:1 carry:1 xs:4 given:11 checked:1 discussed:1 jet:18 introduction:1 data:24 behaves:1 system:1 adopted:1 heights:1 their:4 intermediate:4 too:2 jana:1 scheme:1 gives:3 fraction:1 explanation:2 exactly:1 accurately:1 transverse:1 part:2 x2:3 x3:2 x1:2 than:4 accordance:1 was:4 anticipate:1 namely:1 discriminating:1 shower:9 matter:2 determined:3 validity:1 light:3 providing:1 result:3 exhibit:3 φh:2 lines:1 spectrum:3 need:2 seen:5 any:4 indeed:1 forced:1 dη1:4 form:4 latter:2 rudolph:1 able:1 mechanism:1 note:1 without:7 take:1 online:2 interior:1 adjusting:1 blue:1 play:1 sure:1 though:1 collaboration:6 denominator:3 most:1 assoc:2 ht:1 significant:1 measured:1 why:2 probes:1 observation:1 consequences:1 considered:2 clear:1 adopt:1 flow:1 inferred:1 playing:1 yang:3 exp:1 kt:1 usual:1 physics:3 notion:1 fitted:1 gain:1 slope:1 phenomenon:1 show:4 charles:1 scattered:1 calculable:1 participate:1 threshold:2 agrees:2 partonic:1 partners:1 finally:2 ratio:8 dp2:11 dp1:11 explain:2 assertion:1 should:7 only:7 t0s:6 factor:3 identification:1 dn:22 do:1 predict:2 dominant:1 gev:27 get:1 mainly:1 de:1 pions:4 cannot:3 nearly:1 dx:2 ˆi:1 dp:1 dq:2 symbols:3 processes:1 traverses:1 arxiv:1 yield:8 qe:1 predicted:2 implication:1 fixed:1 hadronization:4 enhances:1 set:1 reference:1 accord:1 observed:6 depends:5 nearside:1 p21:1 quantitatively:1 enhanced:7 subject:1 closer:1 µs:2 enough:2 interrelated:1 various:1 between:2 invariant:1 conditions:2 checks:1 discovery:1 available:2 comparable:1 terms:3 reproduced:4 nature:1 attention:1 points:2 however:3 prediction:1 key:1 contamination:1 distinguish:1 suppressed:3 suggested:1 both:11 essentially:2 last:2 limits:1 triggers:5 region:2 according:1 connection:1 figures:1 contribution:1 perturbative:1 experimental:2 presumably:2 point:2 reasons:1 removal:1 whatever:1 height:9 jets:6 cancel:1 cp:1 collider:1 pt:18 basis:2 trajectory:1 three:3 been:12 pc:10 increase:1 trigger:23 deposited:1 pd:10 pe:1 pi:1 lett:2 direction:2 contribute:1 corresponding:3 observable:1 formed:7 cos:1 bulk:2 observe:1 c0:8 former:1 present:2 case:3 p1:35 exponential:7 solid:2 originate:1 value:9 will:9 while:3 behavior:2 error:1 cancelled:1 au:7 margin:1 procedure:3 supply:3 phenomenological:2 characteristics:1 thus:7 them:1 surface:1 dual:2 aspects:1 vanish:1 confirmed:2 passoc:9 perhaps:1 pit:1 make:1 same:7 strange:6 units:1 products:1 ptrig:16 events:9 higher:1 independent:2 used:4 peaks:3 hwa:6 trivially:1 numerical:1 upon:2 effect:1 hand:4 ion:2 v2:3 uses:1 nir:2 normalization:3 recent:2 lower:6 center:1 scenario:1 immaterial:1 well:4 roughly:2 analysis:2 edge:1 quantitative:4 model:2 charged:9 just:2 less:4 being:8 obtain:4 valuable:1 sources:1 underlying:2 alternative:1 scattering:4 yet:1 previous:1 cut:1 hint:1 conclude:1 except:2 source:6 ruan:1 valid:1 location:1 contrary:1 plasma:1 momentum:7 resolved:1 insensitive:1 around:1 ample:1 thermalized:1 showing:1 finding:1 proton:1 background:21 using:2 nr:1 rhic:1 adams:3 loss:1 necessary:2 like:2 particle:10 envisioned:1 follows:2 signal:2 loses:1 specific:1 yields:1 either:2 works:1 reasonably:1 terminology:1 because:4 sequence:1 successfully:2 phenomena:1 approximations:1 understood:2 growth:1 specified:1 cω:1 dense:2 quarks:11 integration:7 per:1 does:3 provides:2 assuming:2 imply:1 minimal:1 bg:19 power:1 confidence:1 expansion:1 although:2 found:2 described:4 analyses:1 p31:1 properties:4 hadron:1 simpler:1 about:1 central:4 would:4 numerator:2 dependence:4 o:1 ts3:1 range:6 slightly:1 sensitively:2 ηd:5 strangeness:1 previously:1 communication:1 puzzle:10 within:1 integral:1 due:6 right:2 references:1 parton:3 next:1 statistics:2 ridge:38 her:1 there:11 width:4 accordingly:1 pa:8 low:5 way:3 crucially:1 sections:1 function:2 medium:8 azimuthal:1 triggered:10 becoming:1 basic:1 but:7 satisfactorily:1 line:3 highest:1 true:1 hyperon:1 especially:1 absent:1 compute:1 whether:1 characteristic:1 up:3 us:2 below:2 converted:1 distribution:31 similar:3 calculated:5 ex:5 originating:1 associated:34 abstract:1 describe:2 abelev:2 evidence:3 single:3 exist:2 pedestal:2 formalism:3 distributions:5 phantom:8 compared:1 know:1 no:9 dashed:3 fg02:1 when:6 other:8 role:2 department:3 cp2:1 conclusion:1 deviation:1 star:8 calculating:1 preceding:1 astounding:1 variation:2 includes:1 important:1 peak:8 ridges:2 variable:2 mω2:1 structure:2 assert:1 implies:1 pion:1 interval:1 together:1 having:1 implied:1 mass:1 fact:2 time:1 observables:1 nuclei:1 resolution:2 indirectly:1 initiating:1
0704.2617.txt |@word neighbors:5 consider:4 results:6 leads:2 eds:1 comments:1 consists:1 expressions:2 disk:1 whose:2 depend:4 referring:1 graph:20 subjected:1 presents:1 γj:7 finally:4 monotonically:1 tk:1 th:4 under:2 tg:24 presentation:1 activities:9 supported:1 subtrees:4 straightforward:1 keeping:1 corollary:3 worst:1 reordering:1 scoppola:2 exact:1 condition:11 formalization:1 immediately:1 t2:2 t1:6 large:2 ρi:1 upper:3 smaller:2 neighborhood:1 γi0:4 zg:26 estimates:2 direct:2 zero:5 interval:2 rouen:3 rigorous:3 further:1 canonical:1 even:2 trick:1 appear:2 assisted:1 version:1 above:5 sup:20 new:5 increasing:1 satisfy:2 notions:1 degree:15 here:1 reported:1 directions:1 consideration:1 equations:1 clarification:1 obtained:7 study:1 larger:1 ignoring:1 p2:1 amount:1 hospitality:1 involves:1 followed:1 family:7 apr:1 ask:1 univ:2 inc:1 tn:11 use:2 prove:3 recalling:1 eτ:3 γi:28 france:1 therefore:2 criteria:2 themselves:2 until:1 diagrams:2 more:2 zeroes:1 multiplying:1 started:1 labelled:4 osterwalder:1 known:3 foundations:1 cardinality:6 eγ:2 must:1 logarithm:1 helped:1 mg:28 endpoint:1 dep:1 recall:2 originally:1 work:3 theories:1 labeled:1 mv:2 values:1 temperatures:1 following:9 root:8 example:1 proof:7 dn:5 weaker:2 links:1 calculation:2 αdi:3 states:1 numbers:4 horizonte:1 spanning:4 conversely:1 absolute:2 information:1 soc:1 recursive:1 s1:5 di:18 regions:1 ufmg:2 adjacent:1 those:1 csq:5 map:1 fr:1 mat:1 replacing:2 max:1 different:4 dobrushin:1 consequence:1 produce:2 αd1:3 short:1 lemmas:4 yielding:1 si:6 so:6 fundamental:1 representation:1 sg:7 restriction:1 produces:1 laboratory:1 developed:1 over:4 satisfied:3 produced:1 course:1 paper:2 through:1 statistical:2 during:1 existence:2 avenue:1 its:12 before:1 write:2 thank:1 decay:1 ln:6 decreases:1 better:1 resort:1 absence:2 systems:5 etienne:1 maximal:7 non:1 ıvel:1 descendants:13 uv0:3 grand:1 introduce:2 chromatic:11 they:3 now:2 discuss:1 easily:1 term:1 equality:1 fully:1 university:1 identified:2 inequality:4 each:9 universit:1 side:4 constraints:1 subset:2 ruelle:1 square:1 successively:1 weight:1 generation:11 series:9 eg:13 hard:4 ea:9 idea:1 related:2 obtains:1 combining:1 our:4 inflated:1 borgs:4 factors:2 restricted:1 furthermore:3 since:3 crucial:2 particles:1 contained:3 reader:1 formula:1 induction:1 math:8 shows:1 benjamin:2 exactly:1 turning:1 theory:1 interactions:1 iteration:1 free:13 atica:1 approaches:1 york:1 maths:1 estimate:1 inductive:2 log:1 definition:3 interaction:1 derivation:1 applications:1 kunz:1 times:1 fugacity:1 invitation:1 hence:2 probab:1 first:2 initial:1 xn:4 rooted:2 probability:1 bijection:1 number:21 linking:1 ℓi:17 improvements:2 simplified:1 another:1 says:1 precisely:1 given:4 bracket:1 temperature:1 introduction:1 relations:1 needed:1 intermediate:1 zeros:11 predecessors:1 saint:1 realization:1 zγn:2 potts:2 gives:1 correlations:1 labelling:1 immediate:1 part:1 consult:1 than:2 zγ:8 distance:1 zγ1:2 showed:1 penrose:12 double:1 tree:13 second:1 project:1 were:1 embody:1 1n:1 decompose:1 comput:1 strengthen:1 topics:1 preiss:2 matem:1 generalization:1 summing:1 say:2 disjoint:1 elsevier:1 any:9 form:1 min:12 lim:2 self:1 able:1 ideas:1 converges:5 note:2 instance:1 edge:5 combin:1 mayer:1 cnrs:1 regard:1 gγ:6 shall:2 object:1 αs:1 satisfying:1 connected:7 alan:1 definitions:2 min1:1 acknowledgements:1 model:5 involving:1 clear:1 partition:7 coincides:1 vertices:20 graphs:11 points:2 exp:2 physics:1 sum:8 fact:4 visitor:1 labels:1 gerasimov:1 visualized:1 colors:2 gauge:1 d2:1 d1:19 capes:1 criterium:1 dividing:1 topological:1 aldo:2 lemma:11 only:8 summarizing:1 factor:3 γn:16 predecessor:4 triangle:7 intersect:2 notation:2 get:1 de:6 trees:14 words:1 compute:1 du:1 approach:2 arxiv:2 expansions:5 common:2 contain:1 including:1 fixed:5 ργn:3 generations:2 body:1 set:17 exists:1 roberto:2 tilde:1 maximum:8 see:5 computer:1 brazil:1 γi1:2 exploited:1 inequalities:1 ways:1 case:2 identification:1 between:5 consecutive:1 conditions:2 email:1 αn:2 available:2 terms:1 superior:1 restricting:1 kotecky:1 bak:1 comm:3 jk:1 preprint:2 amer:1 improve:4 both:2 improved:1 2n:3 cayley:1 region:2 σg:2 equal:2 chosen:1 improves:1 γik:4 γij:1 estimation:2 expression:3 otherwise:2 belo:1 point:3 simple:3 koteck:1 cg:7 corresponds:4 subgraphs:2 exploit:1 simply:2 pessoal:1 polynomial:9 table:3 cp:1 rougher:1 considering:1 described:2 lattice:4 addition:1 computing:1 due:3 strategy:1 trigger:1 stora:1 pg:16 basic:1 ph:2 colorings:2 define:2 families:1 γir:20 formed:2 gas:6 argument:4 last:3 careful:1 spin:1 present:2 statist:1 applied:1 p1:1 subsets:4 estimations:1 value:1 will:1 while:1 associates:1 theoretical:1 applies:1 leaves:2 fernandez:2 polymer:7 attains:1 vg:10 endowed:1 ir:17 thus:8 them:1 according:1 ii:2 cluster:12 ik:4 argue:1 technology:1 containing:2 φt:3 grant:1 perform:1 make:1 same:9 gruber:1 complex:3 largest:1 proved:1 finite:9 independent:1 used:2 i1:3 i0:5 numerical:1 differing:1 hand:7 v0:21 edges:3 infinite:5 completeness:1 identity:9 lower:1 weakly:2 shortly:1 scenario:1 random:1 well:3 without:1 sets:1 entry:1 ae:3 latter:1 left:1 just:2 less:1 being:1 obtain:6 identify:1 thanks:1 integer:1 alternative:1 coordination:3 previous:1 adding:1 unique:2 vτ:3 conclude:1 except:2 improvement:2 source:1 combine:2 theorem:4 descendant:1 identical:1 depends:1 sokal:9 sums:1 possible:2 increases:2 using:2 intersection:1 formal:5 excluding:1 follows:4 benefit:1 yields:4 δk:3 always:1 anti:1 therein:1 right:4 old:1 methods:1 namely:1 absolutely:1 some:6 somehow:1 deduce:1 examples:1 respect:1 proper:1 proofs:2 provided:1 cnq:7 per:1 critical:1 connecting:1 ed:1 either:1 core:4 incidence:1 run:1 obey:1 power:2 bn:7 arbitrary:1 ψx:2 expansion:8 stem:1 likewise:1 step:1 bp:1 br:1 relating:1 properties:2 simpler:1 comparison:1 ferromagnetic:1 constraint:1 commun:2 discussed:1 o:1 range:1 regular:3 neighbor:2 positive:2 introduced:1 functions:1 equally:1 presence:1 previously:1 unbounded:1 bound:20 three:1 because:2 references:2 coordena:1 statistics:1 additional:1 combinatorics:1 there:3 u0:7 u2:1 ordered:1 start:1 brasil:1 low:1 way:2 crucially:1 was:1 combined:1 function:11 complete:2 subgraph:1 ean:2 phenomena:1 sequel:3 denoting:1 but:5 monomers:3 convergence:4 implies:3 he:3 applying:2 bounds:8 us:9 relabeling:1 below:3 limit:2 jτ:1 called:4 b1:1 mechanics:2 strengthening:2 constant:2 up:1 defined:5 certain:1 abstract:4 ao:1 general:4 transl:1 ap:1 salem:2 relates:1 corresponding:1 inf:4 check:1 regime:1 inductively:1 analyticity:2 nn:2 no:7 when:1 detail:1 other:3 mathematics:1 dv0:3 conclusion:1 denote:7 models:2 preceding:1 vertex:29 polynomials:3 bounded:2 ising:1 structure:3 ξg:6 cpl:3 dτ:10 umr:1 having:1 raphael:2 brydges:1 requires:2 original:1 classical:1 once:1
0704.2618.txt |@word sector:1 measurements:20 angles:1 magnetic:3 global:7 results:8 existing:1 four:1 gf:1 extrapolated:2 llc:1 expressions:1 denotes:1 contributions:2 increase:1 characterises:1 young:2 charge:10 under:3 dominated:1 indicating:1 supported:1 g2:1 g0:4 maas:2 electron:4 summarized:1 mixing:1 experimentally:2 difference:1 severely:2 presented:1 integrating:1 large:2 vector:3 small:2 outer:1 dis:1 force:3 carter:1 findings:1 consistent:2 erler:2 estimates:3 prediction:2 past:1 second:1 displays:3 further:6 targets:4 tev:8 linear:1 aim:1 what:1 alr:1 sum:1 expressed:1 current:8 axial:1 experiment:3 goes:1 new:36 filled:2 revealing:2 gµ:1 full:3 ibid:2 exchange:1 respectively:1 applies:1 here:3 agreement:5 leq:2 asymmetry:2 intercept:1 alone:1 ratio:2 quark:9 q4:1 obtained:3 search:2 dashed:2 rigorously:1 cern:1 shift:1 study:2 allows:1 resulting:3 published:1 cesium:2 shaded:1 makes:2 cancellation:1 involves:2 explained:1 apv:2 outcomes:1 neutrino:1 meson:1 confidence:1 indicated:1 usa:3 predictions:3 next:1 scenarios:1 few:1 nucl:10 qcd:1 taken:1 theoretical:3 more:1 separated:1 flaw:1 successful:1 aleph:1 particular:1 known:1 high:4 permits:1 mm:1 science:1 work:3 cancellations:1 values:5 era:1 strategies:1 performed:2 figure:1 bennett:1 purposes:1 sample:4 indicates:1 numbers:3 allowed:7 hydrogen:2 lifts:1 gzp:1 mainz:2 erratum:2 orthogonal:1 williamsburg:1 lepton:3 significance:1 sin:1 express:1 description:1 after:1 confirmed:1 lab:5 coming:1 date:1 summarize:1 data:27 constants:3 short:1 lhc:3 dynamical:1 effective:8 su:1 generic:1 pves:15 extrapolation:4 negligible:2 fundamental:2 correlation:2 sa:1 discover:1 order:1 ito:1 nucleon:4 over:3 displayed:3 years:1 combinations:1 experiments:1 through:3 before:1 supplemented:1 derive:1 group:2 manuscript:1 fit:6 energies:2 boson:1 forms:1 offers:1 degrees:2 fig:13 main:1 decades:1 focussed:1 violating:7 combination:2 entire:1 wieman:1 band:1 they:1 now:3 chromodynamics:1 february:1 gev2:4 aniol:2 always:1 university:2 level:1 hqv:1 dominance:1 possibilities:1 newport:1 l3:1 each:1 found:1 constraints:2 heavy:1 square:3 hadronic:3 energy:10 happex:6 related:2 isospin:1 ex:14 measurement:4 quantum:1 our:16 beyond:10 extract:3 event:1 special:1 out:4 shown:5 factors:9 since:1 rev:17 research:1 content:1 asymmetries:3 shows:3 earlier:4 theory:3 interactions:3 possibility:2 standard:27 flambaum:1 term:2 estimate:1 incorporates:1 interaction:5 bates:2 chiral:1 determining:2 could:1 impose:1 success:1 place:1 incorporated:1 carlini:1 hence:1 onto:1 colliders:1 first:2 origin:1 symmetry:1 powerful:1 fits:4 nonperturbative:1 directly:2 size:2 kurylov:1 given:1 perturbation:1 leading:2 indicate:1 assumption:2 1d:1 calculations:1 signature:1 final:2 excellent:3 correlations:1 electroweak:6 huv:1 part:2 operates:1 than:5 target:4 collaborations:2 see:2 matter:3 determined:4 were:1 radius:3 powers:1 correction:1 curves:1 ginges:1 direct:1 manner:1 seen:1 constrained:3 any:3 relatively:2 strength:1 angle:4 zero:1 depending:1 essentially:1 highprecision:1 contact:2 note:4 extracted:1 fitting:1 potential:4 build:1 parameterisations:1 mit:1 accuracy:2 play:2 allow:1 centre:1 collaboration:12 measures:1 reach:1 most:3 significant:2 phase:1 measured:2 class:1 probes:1 arising:3 deuterium:2 points:2 nutev:1 constrain:3 physics:25 precise:3 thomas:1 signatures:1 particularly:1 show:3 violation:5 text:1 probe:2 subtle:1 principal:1 impact:3 q2:10 based:3 knowledge:6 parameters:4 produces:1 written:2 should:1 being:1 only:2 black:1 factor:6 marciano:1 do:1 dominant:2 dependent:1 de:1 overall:1 nevertheless:1 cannot:2 report:1 zhu:1 reveal:1 evolution:2 bar:1 evident:1 course:1 arxiv:22 yield:1 ascertain:1 ohio:2 coefficient:1 set:2 art:1 achieved:1 subatomic:1 testing:2 bounds:1 observed:2 namely:1 college:1 result:7 terms:3 contour:6 incorporating:1 c2q:3 c2u:1 nuclear:4 delphi:1 complementary:2 state:1 future:3 various:2 between:4 progress:1 approach:1 discovery:4 recently:2 nature:2 weak:22 enters:1 extent:1 news:1 configuration:1 both:3 cos:1 improved:1 limits:5 reported:4 region:3 uncertainty:6 contract:1 henley:1 sensitive:2 improves:1 dated:1 pdg:2 finds:1 experimental:12 leinweber:2 relevant:11 key:1 point:2 proton:11 pole:1 leads:1 normalisation:1 considering:1 collider:1 raise:1 kinematic:1 radiative:1 three:1 been:6 extraction:1 reduction:2 much:2 combined:3 interest:2 expected:1 ph:5 mary:1 θh:4 contribute:1 corresponding:1 sufficient:1 excite:1 precision:10 wish:1 anthony:1 remarks:1 dramatic:3 determination:4 systematic:2 c1:4 hdv:1 pacs:1 solid:7 might:1 reliable:1 will:3 while:2 error:1 sld:1 couplings:4 versus:1 phenomenological:1 characteristics:1 discrepancy:2 ave:1 helium:3 currents:1 different:2 perform:1 opal:1 slac:2 k2k:1 strange:3 physical:1 neutron:1 planned:1 independent:1 imply:1 anapole:6 upon:2 effect:1 virginia:2 driven:1 constraining:1 moment:3 lowenergy:2 lat:2 recent:3 relies:1 lower:6 thy:1 charges:5 changes:1 parameterised:1 roughly:1 analysis:14 without:1 gse:3 greatest:1 sets:1 zeller:1 model:24 gsm:3 fermilab:1 latest:5 enormously:1 proposed:1 less:5 increasingly:1 accurate:1 rotated:1 necessitate:1 atomic:5 using:2 flavor:1 scattering:4 yet:1 previous:5 summarised:1 renewed:1 adp:1 cl:5 improvement:5 source:3 jefferson:7 combine:1 lett:16 input:1 extensive:1 momentum:2 tests:2 australia:1 conclude:1 possible:4 np:1 whatever:1 world:3 projects:1 ruled:3 tl:1 musolf:5 helpful:1 particle:3 identifying:1 signal:1 extremely:1 c1d:13 e158:1 indication:1 c1q:2 reduced:2 c1u:15 parity:12 because:2 ramsey:3 phenomena:1 b4:2 cs:1 oscillations:1 indirect:1 translates:1 electric:2 provided:1 scale:9 isoscalar:2 quarks:3 best:2 provides:1 assuming:1 prog:1 yields:5 moderate:1 gratitude:1 predicting:1 use:1 expansion:2 notably:1 although:2 acha:1 hadron:1 constrains:3 would:2 constraint:11 freedom:1 discussed:1 dependence:3 range:6 mean:3 consequently:1 strangeness:4 into:2 within:4 ahn:1 bound:6 athens:1 down:2 lies:2 primarily:2 ellipse:5 unambiguous:1 uncertainties:3 hep:12 elastic:1 area:1 normalised:2 transfer:2 support:1 there:1 yao:1 long:1 rept:3 low:7 way:1 forward:3 was:1 naturally:1 form:13 jun:1 triangular:1 but:1 neutral:5 sirlin:1 flavour:1 places:2 characteristic:1 up:2 us:2 below:6 limit:6 demonstrate:2 piece:1 similar:1 display:1 armstrong:1 defined:2 combining:4 haxton:1 intimately:1 associates:1 doe:1 adelaide:2 compared:2 dotted:6 eq:2 whereas:1 nc:1 virtual:1 tight:2 supplementing:1 other:2 role:2 department:1 deviation:6 briefly:1 star:2 energetic:1 william:1 a0:3 a4:2 structure:5 searches:1 jlab:1 coupling:5 space:1 curve:9 together:1 mass:5
0704.2619.txt |@word neighbors:3 limited:4 monte:1 consider:3 chain:3 ida:1 forbidden:1 dynamic:3 results:16 obstruction:1 edu:2 expressions:1 compact:1 particles:22 gases:1 depend:1 calculate:1 aug:1 quasi:11 critical:1 those:1 excluded:1 under:8 mehta:1 alternating:1 statics:1 supported:1 string:1 orthogonal:19 very:6 could:1 wave:1 every:1 difference:2 matrices:22 condition:3 presented:3 die:1 tanh:1 solution:5 large:2 solved:1 recall:2 small:4 eigenvalues:15 noted:1 application:1 zn:9 smaller:6 force:2 monotonous:1 oscillation:4 excited:1 direct:1 approximation:21 fold:1 second:3 traveling:1 colciencias:1 invariant:3 dynamics:9 spontaneously:1 carlo:1 4x2:1 linear:1 even:1 plays:1 rate:1 clock:1 section:4 remain:1 expressed:1 derrida:3 above:7 acknowledgments:1 filled:3 full:1 exchange:2 respectively:3 realizations:2 spacing:37 doering:1 here:5 growing:2 explore:3 inverse:3 them:4 possibility:1 separation:1 europhysics:1 directions:4 luis:1 along:1 equations:1 change:3 obtained:5 chaotic:2 study:7 settles:1 allows:1 approaches:1 experience:1 trial:1 periodic:5 domains:49 complicated:1 implement:1 regardless:1 convolution:1 nearest:33 merely:1 explained:2 ls:1 scaled:1 unitary:3 total:2 unit:3 charge:2 additive:1 asymptotic:1 would:1 entities:1 remains:2 positive:1 contains:1 negative:1 coalesce:1 therefore:1 criteria:1 taken:2 type:1 historically:1 more:10 separated:1 zia:2 th:1 share:1 nord:1 everywhere:2 ecos:1 particular:3 known:2 cases:1 potential:8 carried:1 evolves:3 account:1 language:1 gabriel:1 equation:7 work:5 oscillator:1 dx2:1 reproduce:6 labeled:1 values:9 following:8 meet:2 example:1 performed:7 grained:5 compare:6 figure:11 give:2 process:2 lock:1 neglected:2 purposes:1 high:3 dxn:2 assumptions:1 numbers:2 r28:1 r25:1 species:6 axis:4 counterpart:1 end:2 rather:1 verify:1 discussion:1 s0:3 how:1 nontrivial:1 parameter:1 ensemble:18 circular:15 oscillatory:1 map:1 staying:1 description:5 information:2 may:1 after:1 vicious:3 dx1:1 fb:1 abuse:1 summarize:1 data:2 grow:3 types:1 bogot:1 dynamical:5 effective:1 ss:1 sp:2 sw:1 correspond:1 height:1 so:1 fundamental:1 correlation:34 taking:1 increase:1 order:6 se:1 wigner:17 reversal:1 avraham:3 hierarchy:1 over:3 move:6 choose:1 interpreted:1 eiθj:2 eiθk:4 thermal:1 paper:2 including:1 statistical:21 mentioned:1 existence:1 satisfies:2 still:2 its:10 yekutieli:1 derive:2 thank:1 fit:1 located:3 chosen:2 exact:4 ll:3 solving:1 ds:2 better:5 attraction:1 coarsening:3 lr:2 systems:56 clusters:2 main:2 finer:1 non:8 good:2 motivated:1 numerically:2 processes:2 introduce:2 scaling:30 walls:2 they:12 half:2 now:2 nor:1 2t:1 eigenvalue:2 execute:1 2p:2 alez:1 fully:1 kinetics:1 events:1 2e:1 l2:3 each:10 2l:1 found:9 side:1 2ed:1 homogeneous:2 domain:38 differential:1 another:3 independent:15 doing:1 energy:6 reduce:1 gaussian:7 frequency:1 quantum:3 our:4 beyond:1 eq:9 array:2 out:12 shown:3 matrix:7 driving:2 goe:4 restricted:1 furthermore:2 since:6 rev:9 content:1 contained:2 ref:27 occurs:3 math:3 shows:5 theory:5 interactions:3 contain:1 ısica:1 little:1 departamento:1 drives:3 completely:1 formation:4 convolutions:1 monotonic:1 definition:1 interaction:5 r2:1 just:1 transition:2 times:9 motion:2 ordering:2 length:14 levels:4 erfc:7 universidad:1 consequence:2 βn:1 onto:2 assign:2 first:7 xk:1 initial:3 xn:11 eche:1 probability:16 number:4 walkers:10 xe:1 clear:1 set:1 done:1 least:1 colombia:1 traveler:1 ring:1 angular:1 size:19 given:9 temperature:3 width:1 introduction:3 eqs:3 histograms:2 system:72 construct:1 πr:3 their:5 intermediate:3 rates:1 observations:1 master:2 potts:1 redner:1 gives:1 similitude:2 continuous:1 interesting:1 accurately:1 glauber:1 authors:7 x2:5 probably:1 spacings:1 x1:10 representing:1 than:16 diffusion:8 distance:6 kind:3 molecular:1 ben:5 naim:2 favors:1 zero:3 annihilation:2 contrary:2 were:5 exhibit:3 motivation:1 considerably:1 unchanged:1 randomly:1 already:1 brunet:1 seem:2 occupied:1 any:5 contents:1 sire:2 chem:1 majumdar:2 convenient:1 self:1 note:2 edge:3 build:2 simplified:1 objective:1 coincide:1 many:1 persistence:2 opposite:4 decreasing:1 reach:1 falls:1 most:2 boltzmann:3 comparing:1 pair:5 inserted:1 exponent:6 considered:5 neighboring:1 average:7 later:2 steady:2 near:3 analogy:1 effect:1 maxima:6 physics:1 sum:2 fact:6 show:10 absorbing:1 random:39 particlehole:1 attempts:1 relation:1 keywords:1 trivial:2 find:5 occupation:1 based:1 ensembles:2 parameters:1 explain:1 written:1 start:1 should:1 analytic:1 only:12 subsection:1 factor:3 circle:4 local:1 accurate:1 equilibrium:19 exchanged:2 do:6 dl:1 goes:1 means:1 de:2 fluid:1 preferred:1 joint:1 ones:7 nonequilibrium:4 closely:2 exchanges:1 dt:2 dr:3 justified:1 dp:2 qs:4 qr:2 crw:42 πs2:5 approach:1 coalescence:1 arxiv:1 erf:2 mapped:2 analytical:1 through:3 ql:2 erroneous:1 computed:4 exists:1 correlations:4 flip:1 relative:2 differs:1 see:11 computer:1 result:2 fail:2 bray:3 best:1 subject:2 interacting:9 nuclear:1 review:1 complementary:1 sites:14 wijland:1 symmetric:1 state:3 µn:1 correctly:4 between:27 consecutive:3 boundary:5 conditions:4 tried:1 knowing:1 notice:3 terms:2 statistically:3 sections:2 initially:1 lel:4 however:5 schmittmann:2 reproduces:3 french:1 article:1 configuration:2 problem:2 both:12 residence:3 region:1 equal:7 laplace:9 ln:2 connection:4 coe:39 context:1 subsections:1 expression:3 otherwise:2 diffusive:2 relevant:1 co:2 point:1 simple:6 seems:2 corresponds:1 walk:9 dimensional:19 hakim:1 differ:3 associated:1 theoretical:1 described:10 transformations:1 universality:1 simplification:1 due:3 been:3 much:6 coarse:5 microscopic:2 borders:4 pn:4 empty:3 define:1 interparticle:1 direction:1 θn:4 reaction:3 droplets:1 formed:1 gas:55 coincides:1 gen:3 bulk:2 external:6 general:1 spin:47 former:1 present:2 case:2 pacs:1 conserved:1 value:1 rectangular:2 will:3 while:4 momentum:1 behavior:16 error:2 took:1 remembering:1 studied:4 almost:2 refs:2 walks:3 thus:5 site:2 vn:3 according:2 cluster:1 cond:1 turns:4 disappear:1 iia:5 confirmed:1 lengths:2 suggest:4 same:8 unity:2 complex:1 propose:1 several:3 grows:2 higher:4 evolve:1 calculation:1 used:3 zwanzig:1 numerical:6 ness:1 hand:1 driven:4 action:3 edges:8 moving:4 potentials:1 infinite:1 changing:2 invariance:1 normalization:2 mech:1 oerding:1 nevertheless:2 onedimensional:3 well:8 fusion:1 academic:1 without:1 solve:1 studying:1 quantitative:2 model:14 tional:1 dimension:1 propor:1 left:8 distances:1 proposed:4 less:1 godr:1 generally:1 observed:1 obtain:1 valuable:1 product:2 intervals:2 disperse:2 positions:1 facts:1 useful:2 macroscopic:3 previous:2 candidate:1 density:10 cornell:3 conclude:3 had:1 lattice:18 other:16 lett:5 easy:1 zeros:1 remaining:1 coalescing:7 take:1 identical:2 rescaled:8 around:3 disappearance:1 rules:1 rejoin:1 survival:1 possible:9 harmonic:1 early:2 finding:1 suffering:1 know:2 press:1 using:3 coincidence:2 melting:1 imposed:2 particle:5 sizes:2 follows:3 qualitative:4 transform:9 steps:1 simply:1 inter:1 stationary:1 spins:17 cooperation:1 parity:1 right:8 classical:1 sequence:1 interact:2 some:6 stat:4 growth:4 proper:1 scale:3 describing:2 lead:1 confirm:1 leak:1 avoid:1 though:1 comments:1 krapivsky:3 forrester:3 does:2 provides:2 indication:2 biased:1 rescale:2 equivalent:6 georgiev:1 step:1 although:3 properties:6 comparison:3 about:4 ferromagnetic:1 constraint:1 column:1 anomalous:1 dependence:1 simulation:8 wetting:1 andes:1 neighbor:36 nonmarkovian:1 introduced:4 functions:15 own:1 markovian:1 into:3 integral:1 functional:1 three:3 down:11 phase:1 appropriate:2 because:2 references:1 approximately:1 proportional:1 statistics:15 van:1 log:6 few:3 assumed:1 there:8 approximate:5 long:4 los:1 describes:1 low:2 way:4 was:10 function:43 survives:1 form:6 enough:2 differences:3 but:10 somehow:2 volume:1 properly:6 link:1 larger:2 implies:1 line:2 removed:1 true:1 partially:1 xi:12 coulomb:1 wish:1 mat:1 up:14 us:2 different:8 limit:2 distribution:54 similar:9 nµ:1 regimes:1 strongly:1 partition:5 constant:6 θk:1 defined:5 stronger:1 abstract:1 describe:7 influence:1 alemany:1 evidence:1 oscillations:1 single:1 predictions:2 simulations:11 corresponding:2 distributions:27 gonz:1 surmise:16 diego:1 mutual:1 compared:3 no:3 fixing:1 when:7 field:4 fairly:1 interested:2 role:1 details:3 percents:2 really:1 conclusion:2 deviation:1 briefly:2 repeat:1 models:11 persistent:1 problems:1 update:1 kirkwood:1 important:3 ising:4 additionally:1 variable:1 fisher:1 lane:1 correlated:1 regime:14 coupling:1 algorithm:1 interval:8 holes:1 4s:1 4j:2 fitted:4 time:14 walker:3 sin:1 original:2 once:1
0704.2620.txt |@word code:1 systematic:1 pointing:1 switched:1 depends:2 magnetic:2 luminosities:2 results:5 four:3 eds:1 supplement:1 edu:1 follow:1 amplified:4 disk:11 centimeter:1 consider:2 compact:8 particles:1 preserves:1 amplification:19 depend:1 superpositions:1 tx:6 subjected:1 technique:3 interactions:1 passage:1 must:2 those:2 under:3 td:3 te:1 tb:1 indicating:2 ingredient:1 pathlength:1 string:2 advantage:1 thermalize:1 far:1 frequencies:3 plausibility:1 amplifies:1 indication:1 electron:1 every:5 parra:2 little:1 exact:4 entire:2 stanimirovic:1 clouds:1 provide:1 level:4 positions:2 embarked:1 solution:7 large:8 solved:2 systemic:1 asp:1 team:1 small:2 relation:1 noted:1 upper:2 smaller:2 consistent:3 l151:1 among:1 direct:2 pulse:1 past:1 threshold:1 second:3 noise:3 displays:2 further:1 pmn:2 straddle:1 expressions:1 jessica:1 even:5 established:1 what:1 errors:1 essence:1 appear:1 rate:2 norris:2 favor:1 sum:3 selected:2 negates:1 uniform:2 current:2 consistently:1 bipolar:4 experiment:1 fractional:1 international:1 increasing:4 method:5 contrast:2 temperatures:6 body:5 agreement:2 full:1 led:1 nsf:1 mechanisms:1 never:2 component:3 here:1 atoms:1 mnras:3 desired:1 asymmetry:1 clumpiness:1 excess:4 based:2 along:2 strong:4 equations:8 change:2 deduced:1 settling:1 great:2 zones:3 zone:1 rigorously:1 items:2 study:2 changed:1 ast:1 significantly:1 suggests:1 amount:3 evidently:1 resulting:3 suggestion:2 proportionality:1 uncontrolled:1 suitable:1 makes:2 involves:1 plotted:1 goss:1 examining:1 churchill:1 ratios:5 scales:1 apr:1 understanding:1 explained:3 apj:10 decrease:1 issue:1 opacities:1 planck:2 cloud:9 orientation:1 calculation:1 confidence:1 figure:20 would:1 analytic:1 distinct:1 negative:2 intense:1 comparing:2 linear:3 therefore:3 luminosity:5 pestalozzi:8 doubling:1 selects:1 start:1 diagrams:2 more:7 flat:1 migenes:2 stokes:4 becomes:2 naive:1 emission:30 keplerian:2 visual:1 correspondingly:1 clumpy:2 varying:1 known:1 central:1 cases:3 aligned:1 producing:3 clumps:2 circumstances:1 me:2 involve:2 account:1 include:1 augment:1 collision:1 avoiding:1 equation:2 getting:1 theories:1 unknowns:1 remain:1 values:2 mp:2 evolved:3 widths:2 following:1 about:2 arrive:1 spontaneous:2 proof:1 beautiful:1 weaker:2 cosmological:1 process:4 climax:1 νb:4 grant:1 sample:1 νd:5 minimum:6 performed:1 employs:1 arise:1 tan:2 mixes:1 bypass:1 species:5 calculated:1 axis:7 information:3 erratum:1 end:3 deserves:1 rather:1 ascii:1 discussion:1 holds:1 feature:3 unpolarized:1 occur:2 regions:4 how:2 varies:1 bottinelli:1 opposite:2 answer:1 instead:2 ordinary:1 explains:2 sin:1 greatly:1 profile:2 simplicity:2 product:1 galactic:4 incorporated:1 may:7 earlier:1 variant:1 confirmed:1 diagram:13 modest:1 produce:10 pattern:1 waves:2 wave:1 data:6 constants:5 efficiently:1 short:1 physical:2 preferential:1 light:1 parameter:2 spectra:4 lines:19 chapman:1 ghz:1 cosmology:1 fraction:1 complexity:2 maintain:1 so:2 fundamental:7 correlation:2 subsequently:1 divided:1 talk:1 saturated:1 produces:2 indeed:1 astronomical:4 vary:1 fν:1 years:2 produced:4 thermal:2 own:1 through:7 statistical:1 existence:1 still:3 excitations:2 its:10 fir:7 x000000000000000x:1 difference:1 rapidly:2 directional:2 conway:4 methanol:4 needed:4 actually:1 detected:2 production:2 differently:2 baan:11 τv:2 covered:1 main:7 might:1 minier:2 versus:5 them:1 good:1 greater:3 combination:1 polatidis:1 polarizations:3 material:1 molecule:2 processes:1 introduce:1 complete:1 effects:4 they:7 symposium:3 front:3 formulating:1 rotation:7 yr:1 developments:2 instructions:1 inversion:11 brightness:2 always:4 university:1 traced:1 identified:1 sufficiently:1 magnitude:1 reasonable:2 each:7 found:3 constraints:1 meudon:1 differential:1 telescope:1 independent:1 density:1 energy:1 positioned:1 displacement:1 inverted:2 astrophysical:1 approximation:3 reached:1 laboratory:1 operation:1 transitions:4 eq:1 out:2 shown:6 factors:3 furthermore:1 since:3 johansson:1 tolerated:1 research:1 increase:4 vector:1 vlbi:1 rel:1 conjectured:1 ble:1 surprise:1 darling:5 hcn:3 occurs:3 red:1 shows:4 after:1 turning:1 theory:7 offsets:1 derived:2 million:1 galaxies:2 pumping:12 free:1 standard:7 flambaum:1 approaches:1 ramos:2 formation:1 troland:1 conflicts:2 intermediate:2 l173:1 generate:1 e2:1 reflect:1 pairs:2 employing:1 jet:1 greatest:1 geometry:3 determining:1 transition:4 cosmic:4 times:2 motion:2 turn:1 length:1 plane:2 place:1 isotropic:1 pure:1 leading:1 loh:4 first:7 origin:2 carilli:1 major:2 already:1 features:4 probability:9 xb:3 powerful:1 number:3 reflects:1 relations:4 another:1 pulsar:5 fluxes:1 open:2 angular:3 cones:1 passes:1 given:1 temperature:19 uky:1 similarly:2 revealed:1 behaves:1 system:1 approximately:3 their:7 accretion:1 rates:3 observations:6 calculations:5 realization:1 iau:3 giovanelli:3 molecular:6 structures:3 1n:2 shifted:1 way:2 centered:3 estimates:1 relative:2 exactly:1 obtained:1 measurable:1 assumption:1 optical:10 goldreich:2 authors:1 than:11 coefficients:1 population:5 begins:1 observed:6 polarized:1 isolation:1 require:2 database:2 intensity:1 accesses:1 kraus:2 preparation:2 states:3 classes:1 intensities:2 were:1 toward:6 solely:1 distinguished:1 usefulness:1 files:3 pointed:1 san:1 remained:1 well:3 topics:1 turned:1 locations:3 interpretation:1 environments:3 substantial:2 conjugate:2 seen:5 unaffected:1 any:7 relatively:3 wilson:2 strength:3 angle:2 smallest:1 depending:2 describe:1 translate:1 self:2 responsible:1 maximum:2 polarization:8 high:2 edge:6 lir:7 attempted:1 declines:1 new:3 tool:4 hyperfine:4 spectral:2 differences:1 multiple:1 electric:5 though:1 barycentric:1 reach:1 most:5 propagate:1 pair:1 transverse:1 measured:1 why:1 blobs:2 peaked:4 doi:1 observation:1 surprising:1 considered:1 outflow:13 removed:1 later:2 stronger:3 km:6 proceedings:1 positional:1 error:1 subsequent:2 velocity:16 ky:1 physics:1 away:1 came:1 multilevel:1 science:1 signatures:1 phenomenon:1 show:5 text:1 retains:1 supported:1 infrared:1 discovered:1 purely:1 bright:1 radio:7 keywords:1 earth:1 determined:2 fine:1 find:1 ground:3 impact:2 wolfe:1 slow:1 ratio:8 parameters:8 title:1 implementation:1 simulation:1 explain:3 koribalski:1 proportion:1 pump:5 should:2 protostellar:1 only:16 tolerance:1 black:5 my:1 factor:2 employed:1 local:6 amplifying:2 hope:1 centrally:4 meant:1 do:4 over:3 handle:1 distance:2 lobe:1 de:4 overall:2 truly:1 methods:1 tens:1 cannot:3 altogether:1 combinations:2 hii:1 symmetrically:3 differentiating:1 evolution:2 precession:1 continuum:5 founded:1 numerous:1 diamond:2 arxiv:1 lexington:1 yield:3 reid:2 twice:1 common:1 doppler:1 ωp:2 release:1 implication:1 doublet:2 atomic:6 intervening:1 requirement:1 set:3 exists:1 achieved:1 generally:1 respect:1 bounds:1 detection:1 become:2 see:2 computer:1 radius:3 result:5 eliminating:1 dzuba:1 recently:1 luminous:3 preformed:1 techniques:1 phases:1 linewidth:3 lockett:6 extragalactic:2 nuclear:1 review:3 irs:2 solomon:2 yet:1 µm:2 halves:2 state:3 difficulties:1 various:1 between:11 affecting:1 problems:1 approach:5 email:1 available:1 variability:1 terms:2 creating:1 rotating:2 missing:1 screen:1 weak:4 however:5 implementing:1 creates:1 key:1 distinguish:1 modeling:2 megamaser:1 come:1 distribution:1 suggested:3 both:7 cos:1 kluwer:1 outflows:3 many:2 region:4 uncertainty:2 escape:10 according:2 against:1 etc:1 exceeds:1 passing:1 expression:1 ease:1 nearby:2 momjian:2 detailed:2 relevant:1 fields:3 point:2 simple:3 sky:2 format:1 proton:1 booth:2 publishers:1 simply:1 decreases:2 iras:1 intersects:1 considering:1 described:2 geometries:2 union:1 enable:1 outstanding:1 radiative:6 curve:1 been:5 pa:1 likewise:1 indicators:1 ph:1 meeting:3 systems:1 elitzur:22 faced:1 tangents:2 arises:1 corresponding:2 maser:46 romney:1 qso:1 spectrum:4 gao:2 maps:1 whatever:1 representative:1 weisberg:2 lepine:1 cep:6 general:1 diffuse:4 present:1 case:6 multi:1 cause:2 publicly:1 solid:3 haschick:2 reliable:2 originate:1 kentucky:1 will:7 dept:1 while:2 behavior:1 shift:1 fun:2 situation:1 taking:1 launched:1 maximal:1 larger:3 henkel:4 coupled:4 almost:1 ir:6 thus:3 surprisingly:1 ii:1 properties:2 zeeman:3 johnston:1 turns:1 comparative:1 bν:1 increased:2 different:23 kwan:2 disparate:1 proto:3 author:1 deepens:1 belong:1 radiation:17 same:14 member:1 shifts:1 epoch:1 complex:1 arguments:1 modification:1 resembling:1 finite:1 showing:1 difficult:1 development:2 fairly:1 satellite:9 used:1 peaks:1 comprehensive:1 blue:1 outperformed:1 effect:2 counterparts:1 obeys:4 levels:1 purpose:1 prochaska:1 dust:27 recent:2 lower:2 narrow:1 off:6 modes:2 fully:2 nevertheless:1 studies:3 modeled:1 kanekar:4 analysis:2 evolves:1 patterns:1 without:3 elongated:1 components:2 very:3 position:9 model:8 arising:1 left:6 velocities:4 proposed:1 less:1 percent:1 half:2 rotated:1 barrow:1 sources:7 shape:1 thanks:1 part:1 variants:1 alignment:1 previous:2 web:1 now:1 numerical:1 field:4 absorption:7 longitudinal:1 conclude:1 seems:1 signals:4 source:11 disparity:1 internal:1 advantages:1 questioned:1 easy:1 input:2 apart:1 plasma:1 excited:1 keeley:2 casting:1 around:2 spectacular:1 demands:1 couple:1 term:1 early:1 possibly:2 increases:3 interacting:1 know:1 background:9 performance:1 shadow:1 unique:1 color:2 occurring:1 generated:1 displaced:3 rotate:1 necessary:2 decays:2 lost:1 follows:1 signal:1 disks:4 extremely:1 l113:1 specific:2 flux:6 mhz:17 either:3 martin:2 populations:2 ngc:4 accuracy:1 stationary:4 spins:1 stretched:1 webb:1 exceed:1 because:14 seeks:1 who:2 explaining:1 flatter:1 successfully:1 some:1 certain:1 understood:2 strongest:2 growth:5 shortcoming:1 sight:4 mirror:2 proper:1 extended:1 users:1 dense:2 calculating:1 lead:1 bottom:1 avoid:1 measurements:7 overlap:4 does:4 linearly:2 provides:2 assuming:1 rieu:3 propagating:1 demonstrated:1 inclination:1 measuring:1 package:2 object:1 obey:1 seconds:1 selecting:1 equivalent:1 radial:1 aj:2 bi:2 linewidths:2 guibert:1 although:2 inherent:1 similarity:1 plots:1 interferometric:1 emits:1 panel:10 comparison:3 om:2 actual:1 usa:1 oh:19 column:1 universe:1 dependence:6 inner:2 addition:2 range:4 asensio:2 evident:1 insufficient:1 introduced:1 slightly:1 contours:7 peak:1 considerations:1 computational:1 letters:2 redshift:2 into:5 within:2 splitting:1 interstellar:1 observatory:1 three:2 mas:1 phase:5 appropriate:2 right:7 references:1 raises:1 einstein:1 proportional:4 tabulated:1 often:2 unambiguous:1 uncertainties:2 acknowledgements:1 additional:3 possible:1 few:1 transfer:6 support:1 there:6 question:1 long:1 class:1 los:1 quadratic:2 low:6 stars:6 ehm:1 was:9 function:2 academic:1 medium:2 buizer:4 offer:1 forming:2 murphy:2 but:13 principles:1 astro:1 repeated:1 properly:1 quiescent:1 gain:7 atom:2 elimination:1 line:33 stand:1 proposal:1 raising:1 auxiliary:1 fragmentation:1 consist:1 whether:1 pulsars:1 gravitational:1 smooth:1 up:2 below:2 frequency:6 limit:4 embedded:1 problem:6 similar:7 display:4 nature:1 willem:1 ohm:12 constant:2 classic:1 steady:1 abstract:1 exceeded:1 arbitrary:1 direction:1 covers:1 evidence:1 single:2 propagation:1 exist:2 winnberg:1 simulations:1 controlled:1 reflecting:1 formalism:1 unsaturated:3 steeper:1 again:2 codes:3 no:1 amounts:1 user:1 megamasers:4 when:10 detail:2 tight:4 other:3 masers:16 spatial:1 overpopulation:1 lonsdale:4 photon:1 opacity:7 picture:1 perpendicular:1 francisco:1 star:3 generates:1 excitation:6 separate:1 models:3 gas:2 remains:3 center:7 peaking:1 miscellaneous:1 variation:5 occurred:1 lens:1 chance:1 important:4 pihlstr:2 vectors:1 included:1 formal:1 astronomy:1 developed:2 constrain:1 structure:9 delineate:1 algebraic:2 suffers:1 implies:4 coupling:2 margins:1 assume:1 typically:1 age:1 required:2 holes:3 coherent:1 together:1 depth:10 implied:1 mass:1 fact:2 time:4 controlling:2 moshe:7 requires:3
0704.2622.txt |@word ybco:1 consider:1 remarkable:1 sce:1 caused:2 broaden:1 dynamic:3 results:2 follow:3 nwo:1 revealed:1 causes:1 khaliullin:3 dimensionality:1 calculate:1 zone:2 subjected:1 charge:8 does:2 those:1 th:2 under:1 tc:3 egami:1 case:3 breathing:2 straightforward:1 zhang:1 oganesyan:1 wave:6 electron:16 fan:1 dispersions:1 govern:1 experimentally:2 difference:1 reichardt:1 hamiltonian:2 horbach:1 turns:1 anisotropy:1 damped:1 solved:1 vector:4 unproblematic:1 red:1 small:2 provided:1 dip:3 locus:3 10k:2 hardening:2 force:1 renormalized:2 dealing:3 consistent:1 estimates:1 filled:1 likely:1 further:3 dynamics:2 investment:1 spectral:9 will:2 what:2 current:1 experiment:2 above:1 international:1 learned:1 increasing:4 exercise:1 meandering:1 even:1 spacing:1 here:3 agreement:1 2kf:9 mev:1 free:1 address:1 based:1 along:5 strong:2 respect:1 appears:1 superconductor:1 deduced:1 obtained:2 ref:1 incoming:1 horovitz:1 institute:2 shift:1 vectors:2 approaches:1 reports:1 ignoring:1 accomplished:1 periodic:1 resonance:1 narrow:1 fujita:1 emerge:1 yamada:4 imπ:4 suddenly:1 merely:1 explained:2 outcomes:1 decrease:2 anomalies:1 reπ:2 total:1 unit:3 plot:4 conventional:2 quasi:5 hartreefock:1 would:1 finally:1 vol:1 live:1 mysterious:1 theoretical:2 more:2 flat:1 effect:3 keyhole:1 particular:1 known:3 hole:4 fermionic:1 compressional:1 high:6 account:1 endoh:1 abbamonte:1 oles:1 pushed:1 fock:1 obvious:1 temperatures:2 believed:1 nario:1 arrive:1 root:1 ions:1 give:3 predict:2 discussed:1 organized:1 states:1 indicates:1 assumptions:1 numbers:1 sense:1 standard:2 occur:1 la2:1 axis:3 information:1 rather:1 g0:2 feature:1 answer:1 instead:2 displacements:1 ubiquitous:1 mat:2 use:2 plane:6 physik:1 coming:1 data:1 parallel:5 organization:2 attempt:1 dynamical:1 liquid:5 rationalize:1 spectra:1 lines:4 correspond:1 fundamental:1 suggest:1 acknowledges:1 interpretation:2 softened:1 saarloos:2 developed:1 over:1 stays:1 raised:3 paper:1 london:1 stretching:1 still:2 excitations:8 its:2 imd:4 decay:1 ln:1 lo:3 dogan:1 expectations:1 decreases:2 actually:3 fig:26 main:1 might:2 ly:1 non:3 than:1 universality:1 polarizations:1 dai:1 landau:1 framework:1 effects:5 they:2 half:3 now:3 susceptibility:1 february:1 netherlands:1 2p:1 localizes:1 fully:1 university:3 level:1 2ev:1 sin:2 2d:4 im2:1 mode:11 positions:1 crossing:4 2m:1 difficult:1 side:1 characterized:1 bond:1 el:1 square:1 financial:1 weight:1 weger:1 short:1 energy:8 hard:1 gaussian:1 society:1 frequency:13 static:1 25ev:1 measure:1 our:3 avoided:2 eq:5 out:3 ru:1 shown:4 matrix:3 space:4 since:5 rev:14 cuprate:2 research:2 rational:1 dutch:1 suggesting:1 supports:1 occurs:4 substructure:1 foundation:1 theory:1 interactions:1 story:1 possibility:1 quite:2 enumerate:1 completely:1 van:2 interaction:2 diminished:1 edges:2 counterintuitively:1 due:1 moving:1 ionic:1 support:3 first:2 already:2 features:2 xc:2 number:1 reaches:1 intuitively:1 simplified:1 directly:1 umklapp:1 array:3 electronic:7 given:3 temperature:11 ordering:3 concentrating:1 system:2 their:1 assumption:1 1d:18 calculations:1 too:1 shifted:1 kf2:1 grant:1 ratio:1 centered:3 moscow:2 conspicuously:1 transverse:1 optical:3 somewhat:1 1ev:2 representing:1 peculiar:1 center:1 steel:1 relative:1 kind:1 effective:1 showed:1 double:1 measured:2 intensity:1 pintschovius:3 matter:1 determined:3 contrary:1 str:1 mcqueeney:1 russia:1 result:1 counter:1 false:1 fermiology:2 ann:1 spectrum:2 substantial:4 analysis:1 wannier:1 hoppings:1 seen:1 demonstration:1 gunnarsson:1 smectic:2 angle:1 depending:1 self:5 responsible:1 able:1 metallic:9 polarization:3 instance:2 internal:2 take:2 online:1 correlating:1 blue:2 added:1 arguing:1 horsch:3 most:1 petrov:1 importantly:1 significant:1 quantitative:1 phase:2 luttinger:6 intrinsic:1 eskes:1 kb:1 kf:2 neighboring:1 calculated:2 physica:2 part:6 electrons:4 principle:2 velocity:1 ky:2 kx:2 physics:7 ury:1 particularly:2 text:1 dependences:3 purely:1 solutions:1 reznik:2 trivial:1 find:2 ground:1 cell:2 ichioka:1 implying:1 softening:1 parameters:3 ba1:1 explain:1 distributed:1 should:12 jan:1 only:1 black:2 essence:1 constant:3 rice:1 g02:1 polarizability:3 narrows:1 distance:1 contracts:1 quantified:1 stripes:19 famous:2 brillouin:1 striped:1 nk:2 reveal:2 regarding:1 resolve:1 transversal:14 continuum:5 qy:17 qx:19 communicates:1 arxiv:1 summary:1 qa:3 predicted:2 gutfreund:1 fixed:2 inside:2 acquired:1 accord:1 up:3 observed:4 see:3 bare:3 us:1 enhanced:2 localize:1 close:2 acquires:1 linewidth:1 interacting:5 phonons:3 sites:1 state:1 between:5 ui:1 notice:1 terms:2 ωqx:1 nature:5 initially:1 component:2 however:2 uum:1 vanishing:1 fluctuations:6 analyzed:1 embed:1 incommensurate:1 interpretations:1 freely:1 region:3 density:4 according:1 against:1 pdp:1 propagation:1 dated:1 embedding:1 interesting:1 expression:1 experimental:1 relevant:1 color:1 royal:1 period:1 fradkin:5 spans:1 doping:8 cu:5 considering:1 wavevector:1 singlets:1 kinematic:1 lattice:3 addition:1 markedly:1 describes:1 damping:3 expected:2 ph:1 anomaly:32 systems:1 dots:1 box:1 direction:6 quantities:1 gas:3 300k:1 lorentz:1 representative:2 wavevectors:2 spin:1 present:1 p2:1 ǫf:3 unlike:1 frozen:1 dopings:3 value:1 employ:1 invoking:2 while:7 sawatzky:1 behavior:4 eik:1 tunneling:1 taking:1 vc:2 orientation:1 vf:1 iq:1 binding:1 site:1 ii:1 flatness:1 superconducting:1 vs:1 cond:2 fermion:2 different:6 sensitive:2 selfenergy:1 make:1 same:3 complex:1 coworkers:1 units:1 dimensionless:3 finite:1 showing:1 neutron:1 higher:7 independent:2 numerical:1 functions:2 hand:1 insulating:1 compared:2 liquids:2 stripe:31 workings:1 hartree:1 15mev:1 recent:1 lower:1 modes:11 scenario:1 band:1 acknowledge:1 well:6 undoped:2 position:2 model:2 left:1 lda:1 cuprates:5 just:2 less:1 being:1 downwards:1 superconductors:2 ch:1 λe:1 immediately:1 zaanen:6 momenta:3 scattering:1 alignment:1 halfway:1 enters:1 vibration:1 seems:1 iω:2 apr:1 spread:1 pile:1 lett:3 diagonalization:1 momentum:16 real:4 b59:1 around:1 osman:1 big:2 couple:1 corresponds:1 matters:1 background:1 confined:2 using:2 moreover:1 mod:1 bindloss:1 counterintuitive:1 like:5 success:1 follows:5 collective:2 hunt:1 yields:1 either:1 inter:3 untwinned:1 right:3 some:2 2qx:1 contin:1 cr:2 pronounced:1 dimensions:1 arrigoni:1 mook:1 measurements:3 overlap:1 shirane:1 critical:1 assuming:1 fom:1 propagating:5 minimal:1 2a:1 run:1 scientific:1 falter:1 bn:2 perpendicular:4 step:1 anisimov:1 although:2 accompanied:1 imaginary:3 about:1 universe:1 anomalous:2 dependence:7 o:6 reduced:1 wolf:1 lorentzian:1 introduced:2 bloch:1 machida:5 presence:1 into:2 sol:1 predictions:1 down:1 because:2 proportional:1 span:1 yethiraj:1 transfer:1 strictly:1 there:1 barci:1 noticed:1 dispersion:4 width:7 much:3 mukhin:2 low:3 commensuration:1 was:1 propagator:7 naturally:2 function:12 cuo4:1 alloys:1 form:7 energies:1 leiden:1 dips:3 regard:1 but:2 idea:1 change:1 construction:1 oxygens:1 line:6 he:1 compute:1 characteristic:3 cells:1 maximum:1 quantitatively:1 ur:3 crystal:2 below:1 simplifying:1 uk:2 planes:1 demonstrate:1 problem:2 matsubara:1 strongly:3 ab:1 associated:4 b65:1 computing:1 b69:1 general:1 loughborough:2 intra:1 constructed:1 radically:1 oversimplification:1 nl:1 no:2 objection:1 credibility:1 when:6 phonon:55 tight:1 narrowing:3 other:1 details:1 department:2 stat:1 gross:3 visits:1 bounded:2 peak:1 fermi:3 kivelson:6 λiα:1 structure:2 ago:1 coupling:6 assume:2 factors:3 emery:1 governed:1 inset:8 mass:1 time:1 qualitatively:1 serious:1 resolution:3
0704.2624.txt |@word neighbors:1 gs:6 consider:5 chain:7 switched:2 melts:3 rev:8 lack:3 brownian:2 focus:1 sonderforschungsbereich:1 leads:3 disc:1 entropy:1 overlap:7 maxima:2 consists:1 vorticity:1 faster:1 rheological:2 row:1 layers:16 whose:2 γy:6 γx:30 monomer:4 re:6 subjected:1 equivalence:1 smoothly:1 presents:3 finally:2 program:2 those:2 excluded:3 under:18 perature:1 stochastic:4 alternatively:2 third:1 tethered:1 case:35 fax:1 random:8 g2:4 advantage:2 very:9 rise:4 none:1 joachim:1 results:6 figs:1 langmuir:2 2γt:1 polymeric:20 condition:2 europhys:4 polson:2 presented:5 positions:1 dif:1 macdowell:5 solution:4 sliding:3 large:6 vector:5 cnea:1 small:11 shows:17 challenge:1 configurations:1 dissipated:1 bd:1 dilute:5 force:13 monotonous:1 oscillation:1 const:6 ρm:4 consistent:1 subtracting:1 rrc:1 direct:3 literature:1 past:1 located:1 rate:6 dissipation:1 profiles:10 gyration:1 checked:1 qualitatively:1 dynamics:12 correspond:1 quite:2 even:9 reproduce:2 optimize:1 plays:1 giving:3 section:9 unweg:3 melt:13 version:1 ˆrij:1 above:2 flowing:1 ρu:5 increasing:2 method:3 contrast:1 satisfy:1 condensed:1 systematic:3 degree:1 ranged:1 respectively:5 error:1 component:2 equals:1 here:3 understanding:1 desired:7 fairly:2 test:1 free:3 separation:1 address:2 directions:11 consideration:1 along:2 strong:9 equations:3 implicit:3 change:1 obtained:3 great:5 property:1 extraordinary:1 pict:1 endto:1 study:9 larger:6 allows:1 step:8 commonly:1 troian:2 amount:3 periodic:2 resulting:2 usually:1 barsky:1 fourier:1 studies:1 segments:2 sci:3 frictional:4 mimicked:1 bare:1 via:4 useful:1 investigate:1 vij:1 σsd:3 explained:2 sample:1 brought:1 decrease:4 org:1 total:2 unit:4 use:4 indicated:3 would:1 sake:1 h0:1 negative:1 france:1 few:1 depicted:2 therefore:4 lennard:3 taken:1 meyer:1 ree:1 reflects:1 more:9 chem:10 flat:1 stresses:1 rich:2 started:2 becomes:1 couette:8 envelope:1 tested:3 transient:8 tildesley:1 excellent:1 known:4 further:1 cases:14 iv:2 iii:7 σs0:2 must:5 md:7 keeping:1 ρb:3 θkl:1 ρg:26 integrating:2 recall:1 originally:3 work:6 mi:2 ρl:5 reviews:1 ulj:4 ij:2 values:13 following:6 confining:1 clarendon:1 drops:1 root:1 example:5 deg:1 grained:8 compare:2 figure:23 give:3 attribute:1 allowed:1 table:6 implementations:3 high:2 copolymer:1 minimum:1 performed:4 sense:1 unphysical:3 grest:2 times:1 looses:1 δil:1 respective:1 end:10 decaying:2 rather:2 discussion:2 means:2 recovers:1 regions:1 integrators:1 pair:7 buenos:1 ensure:1 absolute:1 frenkel:2 ensemble:1 kremer:3 undesirable:2 profile:9 fr:3 mat:1 waals:1 easily:1 thermodynamic:1 after:1 constraint:1 applications:1 paper:1 explored:1 meso:1 physik:2 matt:1 fi:9 horizontal:1 choice:10 data:1 response:5 types:2 efficiently:1 stress:18 short:2 natural:1 dynamical:2 liquid:13 coupling:3 quantify:2 lines:2 yielding:1 switch:1 maintain:6 so:2 allow:2 correlation:4 taking:2 pleasure:1 vapor:2 order:6 typical:11 integrated:3 holds:1 subsections:1 produces:1 laboratory:2 developed:1 over:4 insight:1 mainly:1 soon:1 symbols:1 course:1 mu:1 experiments:1 through:2 stretching:2 mentioned:2 steric:1 its:3 warren:2 difference:6 thank:1 γvi:1 ln:4 interesting:2 lateral:1 lj:7 vicinity:1 exhibits:3 actually:2 forms:2 attraction:3 systems:19 fij:2 covered:1 argentina:1 freely:2 defining:1 alter:1 shear:36 maximal:1 ri:1 non:16 good:24 fourth:1 combination:1 press:2 integral:5 practice:1 evolution:1 break:1 framework:1 walls:3 repulsive:3 effects:5 permissible:1 oxford:1 now:2 heaviside:1 represents:1 finite:2 indeed:2 fails:3 always:1 θij:3 hamiltonian:1 arrows:1 possibilities:1 sufficiently:1 magnitude:2 reasonable:1 each:10 ual:1 found:10 universit:1 decreasing:1 characterized:1 glasses:1 established:1 oscillatory:1 schemes:1 4πr2:1 significantly:3 weight:54 independent:2 energy:4 hard:3 product:2 used:14 extended:1 pme:1 combining:1 our:6 avoided:2 eq:15 out:13 shown:17 driving:2 plan:1 gradient:1 open:2 furthermore:1 crucial:2 semi:1 denotes:2 particles:4 attracted:2 acting:4 rg:2 rc:26 denoted:1 rn:2 lai:3 issue:2 correct:1 rj:1 common:3 intended:2 inevitably:1 condens:1 weaknesses:1 solvent:42 linear:5 interactions:8 ntp:10 maintains:2 ısica:1 differ:1 departamento:1 standard:28 versus:1 indices:1 completely:1 advantages:1 put:1 indicates:1 beginning:1 wall:13 care:2 groot:1 interaction:8 r0:4 strasbourg:1 r2:1 fiµ:1 starts:1 could:1 keep:2 motion:4 turn:1 length:3 plane:1 poiseuille:9 δij:2 consequence:1 fd:2 discussions:1 onto:1 support:2 first:4 already:4 fx:10 perturb:1 attractions:2 viscosity:6 number:7 theoretische:1 utilized:3 smaller:6 done:1 directly:1 clarity:2 quality:1 between:24 biasing:1 tem:1 given:9 cartesian:2 heads:1 temperature:46 workaround:3 indicate:1 introduction:1 meaningful:2 behaves:1 system:26 approximately:2 priority:1 their:2 intermediate:1 rates:2 constants:3 monotonously:1 hendrik:1 ulich:1 dfg:1 scheme:2 frame:2 gives:1 shifted:2 brushes:14 took:1 artifact:1 assumption:1 part:1 injected:1 kept:2 than:5 begins:1 relative:6 level:1 molecular:3 critically:1 reason:2 edition:1 zero:5 referred:1 matter:5 states:2 future:1 were:10 identical:2 radius:7 providing:2 damping:3 result:3 exhibit:1 lowest:1 modeled:2 better:1 hagen:1 fluctuation:1 metzger:1 curves:3 crossover:2 randomly:1 fail:2 variable:1 delineated:1 close:2 need:2 allen:1 seem:1 vw:18 orders:2 damps:1 strength:4 angle:4 laden:1 efficient:2 thoroughly:2 latter:6 able:4 note:2 instance:2 contact:1 take:1 forces:29 online:12 negligible:1 strengths:2 switching:4 channel:2 unperturbed:1 circles:1 added:2 elastically:1 polym:2 shall:1 any:1 simulated:1 sequence:1 centro:1 insets:2 most:3 boltzmann:1 germany:3 jul:1 significant:2 position:5 remarks:1 radii:1 measured:2 subsection:1 kb:7 considered:15 neighboring:2 calculated:2 flow:14 drive:1 regards:1 exp:1 velocity:21 sd:1 typically:3 sum:1 fact:1 quantity:2 mainz:1 drastically:2 particularly:1 show:5 violation:2 text:3 charles:1 friction:22 connectivity:1 mahalu:1 purely:1 verlet:1 relation:4 solutions:2 trivial:1 agrees:2 make:3 fene:1 grafted:8 ratio:2 ensembles:1 parameters:4 implementation:1 situations:5 2h0:1 state:11 should:2 rij:4 only:10 explicitly:2 screening:2 molecules:2 inherited:2 thompson:1 employed:3 adequate:1 local:5 γn:1 achieve:3 equilibrium:35 keeps:1 klein:3 wide:2 de:2 tilting:4 account:1 obtain:1 cannot:3 dz:1 nonequilibrium:3 bead:9 wise:1 dt:2 conjunction:3 dr:1 platz:1 produced:2 beads:11 substrate:4 densities:10 progressive:2 upper:8 conditions:38 arxiv:1 interdigitated:1 twice:1 bad:1 dpd:102 gral:1 hydrodynamic:5 prevents:1 fixed:1 grad:1 reinforced:1 coefficient:2 compressed:1 set:4 res:1 computed:1 reference:2 achieved:1 physically:2 espa:2 δjk:1 testing:1 brinkman:2 δjl:1 blend:1 maximum:2 observed:9 differs:2 see:12 computer:2 intramolecular:1 changes:1 enhanced:1 conicet:1 terms:2 τc:7 prototypical:1 reproduced:2 surfaces:1 phases:2 interacting:1 inappropriate:1 arguably:1 bias:1 label:1 enough:2 smallest:3 various:3 chosen:2 correctly:1 wetting:2 boundary:3 approach:4 across:7 choose:1 ends:1 nol:2 recently:1 ability:3 nature:3 importance:1 interfaces:4 attention:1 weak:1 however:8 efficiency:9 reproduces:1 faraday:1 analyzed:4 article:1 suppressed:1 improve:2 faced:1 both:11 essentially:1 last:1 σn:7 gratefully:2 many:1 region:3 conclusions:1 kroeger:1 according:1 fulfilled:1 etc:1 involve:1 improves:2 und:1 vander:1 σs:5 variance:1 regimes:2 expression:1 anpcyt:1 galilean:5 among:3 stretches:1 2kb:1 point:1 simple:2 effective:6 mer:1 cf:1 poly:1 laminar:1 interface:5 exploit:1 written:1 stretched:1 exerted:2 associated:1 rep:1 throughout:1 considers:1 ps:6 described:3 second:5 varnik:1 addition:1 due:8 been:4 screened:1 johannes:1 defined:2 faithfully:2 much:5 coarse:8 interest:4 deformable:1 mean:17 utilizing:1 pi:1 fig:25 concentrated:1 direction:21 aj:1 ottingen:1 mushroom:2 observable:1 quantities:1 sufficient:1 wet:1 coincides:1 uncommon:1 gap:3 bulk:4 observe:1 understand:1 external:7 func:1 evidence:1 former:2 present:5 applied:10 macromolecules:1 unlike:1 solid:3 might:1 blends:1 single:8 value:19 choices:2 will:7 while:7 overcome:1 behavior:26 aij:1 situation:4 revisited:1 balance:1 spacial:1 characterizing:1 polymer:28 layer:7 studied:9 concomitant:1 almost:1 vi:1 av:1 tions:1 surprisingly:1 surface:2 encountered:1 ii:3 characterize:1 itself:1 cond:2 increase:2 2τc:1 accounting:1 vx:3 computationally:2 interacts:1 conserve:9 idealized:1 different:33 lengths:1 acknowledgments:1 paz:1 quadratic:1 lett:5 same:8 clearly:2 another:1 thinning:1 emphasize:2 widely:3 largest:2 units:2 regime:9 higher:5 con1:1 investigated:3 nic:1 upon:1 effect:3 flows:8 hand:1 driven:3 action:2 moment:1 liquids:2 user:2 potentials:10 frequently:1 invariance:5 concluding:1 normalization:1 lower:8 argue:1 off:16 fully:1 evaluated:1 whole:2 monomers:5 variety:1 well:2 roughly:1 analysis:2 thermostated:2 academic:1 without:1 extensible:1 components:2 studying:1 quantitative:1 model:7 otherwise:1 arising:1 self:1 usual:3 distances:1 moving:2 velocities:2 they:3 just:1 minima:2 being:3 when:9 starting:2 rest:4 detail:1 confined:2 secyt:1 underlying:1 thanks:1 comprehensively:1 uller:8 alternative:1 previous:8 adv:2 cut:10 monitored:1 density:21 regarded:1 conclude:1 except:1 improvement:1 friedrich:1 potential:7 wittmer:2 attractive:1 theorem:2 bond:1 warrant:1 remaining:1 momentum:6 divided:1 real:1 daad:1 counterpart:1 dissipative:10 big:2 measurement:1 possible:2 corresponds:4 possibly:1 increases:4 macromolecular:1 using:15 height:1 moreover:2 color:12 karttunen:1 imposed:2 like:1 particle:8 systematically:1 polymers:2 reduces:1 performing:2 microcanonical:1 noted:1 steps:1 either:3 arbitrary:2 pagonabarraga:1 accelerations:2 hund:1 soft:10 depend:1 omico:1 because:9 often:1 truncated:1 spring:4 successfully:1 phenomena:3 understood:2 thermostats:32 choosing:1 fluctuationdissipation:1 oscillations:5 unless:1 pronounced:1 scale:2 lead:3 micro:1 stronger:1 broad:1 ones:1 normal:16 langevin:64 per:5 conservative:10 middle:1 esf:1 does:4 provides:1 yields:2 chains:10 active:1 grafting:16 inclination:3 limitations:2 varying:2 noise:2 coated:2 obey:2 slight:2 problems:1 equivalent:3 oscillating:2 perpendicular:6 rue:1 overall:2 pressure:4 binder:9 biases:2 although:1 properties:7 panel:8 gained:1 comparison:9 works:3 actual:1 impenetrable:1 standalone:1 instantaneously:1 freedom:1 based:1 discussed:2 dependence:1 o:2 simulation:10 remains:2 range:6 r1:2 repulsion:2 coexists:1 introduced:1 slightly:3 explicit:1 aires:1 enhancement:1 conserving:2 average:1 thermostat:88 follows:2 into:3 within:4 obtaining:1 three:7 assess:2 phase:1 square:3 brush:55 financial:2 guideline:1 equal:1 methods:2 a3:1 microfluidic:1 institut:3 elastic:1 area:3 artifacts:2 acknowledged:2 there:6 column:4 fast:2 smit:1 conservation:7 low:1 way:5 analyze:2 was:12 extract:1 function:16 medium:1 form:4 some:1 differences:4 denoting:2 but:9 idea:1 volume:4 expected:2 heat:4 properly:2 related:2 line:9 removed:2 true:1 partially:1 inverse:1 applying:2 evident:1 versions:1 characteristic:5 ωr:9 smooth:1 up:2 quantitatively:3 ur:2 below:2 frequency:4 how:1 suitable:2 baschnagel:3 distribution:2 define:3 similar:13 called:3 examples:3 strongly:2 bearing:1 quantified:2 constant:37 conserves:2 computing:1 ai:1 steady:11 decreases:1 describe:1 general:4 conserved:7 simulations:27 corresponding:6 gradients:1 film:2 physical:8 again:3 functions:56 compared:5 us:1 outof:1 no:1 dashed:8 whereas:2 generally:1 inset:5 plugged:1 field:1 other:7 role:3 details:2 spatial:6 ferent:1 weights:3 instantaneous:1 concerning:1 particular:2 poor:15 formed:1 kinds:1 provided:2 models:6 robbins:2 vega:1 distance:5 rex:2 a1:1 a0:2 gutenberg:1 important:8 peak:1 additionally:2 vectors:1 included:1 60o:1 sider:1 needed:1 structure:2 illustrates:1 jones:3 droplet:2 implies:3 longer:1 transports:1 fulfill:3 interval:2 curve:2 together:1 dragged:1 mimic:1 opposing:11 mass:2 time:19 appl:1 requires:1 original:3 others:1
0704.2625.txt |@word proposition:20 gu:9 gt:5 homomorphism:1 consider:20 ruberman:1 global:3 commun:1 results:20 invent:1 four:4 obstruction:1 ge:16 concept:1 generalize:1 ajk:1 computation:3 transversally:1 consists:1 follow:1 2δl:2 differentiably:1 gi:1 gh:3 compact:16 whose:12 epimorphism:9 inverse:2 tx:3 re:1 combined:1 tu:1 canonical:2 smoothly:4 including:1 finally:2 does:4 aut:4 elliptic:15 under:6 rham:3 connecting:1 semicontinuity:1 norm:3 ta:5 applied:1 summand:1 g1:5 orthogonal:14 very:12 rise:1 springer:1 induce:2 splitting:7 corollary:21 witten:9 every:21 decide:1 rm:1 join:2 difference:2 exact:9 deformations:1 condition:12 hdr:4 dim:3 subsets:1 solves:1 eds:1 irreducible:12 list:1 solution:12 deals:2 admissible:14 minimizing:5 red:2 small:7 relation:4 rk:1 gruyter:1 configurations:2 upper:2 smaller:1 neighborhood:42 l2k:2 sin2:2 direct:5 sign:4 second:14 characteristics:3 obstructions:1 defining:2 choices:1 odd:2 linear:6 even:2 index:10 plays:2 appear:3 invertible:1 equivariance:1 cycle:1 trivial:16 section:82 2b2:1 version:1 above:7 sup:9 new:11 subtracting:1 method:6 codimension:5 satisfy:1 completion:1 laplace:1 simultaneously:2 aik:1 degree:4 respectively:5 aij:3 component:7 2b1:2 here:5 canonically:2 3manifold:1 objects:2 tangent:14 groups:3 cab:4 represented:3 path:11 along:3 strong:3 equations:7 appears:1 z2:8 deduced:1 obtained:8 remark:18 sobolev:13 assures:1 technical:1 my:1 study:5 vectors:1 allows:1 reason:2 leaving:1 spheres:2 products:2 compactifications:1 action:4 complicated:1 te1:1 suitable:5 vw:3 approximate:1 quotient:13 uniquely:1 formulated:1 projection:11 family:5 claim:5 apr:1 inducing:1 cobordism:5 fσ:22 f2:7 gk:1 brought:1 mension:1 equivariant:6 rρ:7 trivialize:3 apply:1 total:1 univ:2 imaginary:2 unit:1 memoirs:1 donaldson:26 use:12 triples:1 takes:3 would:6 prove:18 met:4 positive:10 h0:9 give:2 bundles:16 negative:11 next:2 selfdual:9 vol:3 tm:13 call:2 therefore:36 vi:2 taken:1 zorn:1 bu:6 compactly:1 type:40 theoretical:4 more:8 unions:1 flat:2 ir:3 coupled:1 duality:1 okonek:2 becomes:4 operators:3 stable:1 constructs:1 distribution:6 curvature:2 surprisingly:1 wonder:1 integrate:1 berlin:1 appendix:11 everywhere:2 particular:16 known:4 projective:6 cases:2 eγ:2 must:10 parameterize:3 account:6 valued:16 ma:11 ih:2 recall:1 equation:17 work:1 det:9 london:1 hopf:1 remain:1 infinitesimal:3 obvious:11 stabilizer:3 exhaustive:1 lipschitz:1 following:18 making:2 endow:2 example:6 proof:39 f1:7 dedicated:1 weaker:1 interestingly:1 stated:2 projectivization:1 loci:20 purposes:5 ann:1 larger:1 contradicts:1 sphere:14 minimum:2 numbers:1 monomial:1 sense:2 signatures:1 νi:3 occur:1 fibres:2 absolute:2 information:2 sr:3 soc:1 goal:3 s1:1 holds:8 kronheimer:1 unordered:3 write:3 ϕu:1 varies:2 holonomy:1 fourth:1 extensions:1 those:1 furuta:1 sin:3 map:40 product:6 isomorphically:3 description:7 algebra:5 replacing:3 db:1 immersed:1 after:6 orbits:1 came:1 diagram:1 hence:8 fb:5 plane:1 perturbations:1 ej:2 fits:3 fi:5 horizontal:1 choice:1 data:2 parallel:26 constants:1 2l2:2 realized:1 ide:2 natural:30 third:4 λ2m:2 pullback:2 schneider:1 chern:17 explicit:4 descends:3 su:75 element:9 diffeomorphism:2 baire:1 derivating:1 so:89 allow:2 sl:3 intersect:1 putting:2 discriminant:1 transitivity:1 order:9 sd:1 restriction:19 unsolved:1 casson:6 interpretation:3 eigen:4 indeed:9 over:27 despite:1 vary:1 soon:4 presence:1 course:2 paper:1 da0:54 banach:8 existence:9 satisfies:3 still:2 agrees:1 its:18 loses:1 lg:14 group:16 lc:1 singular:1 maps:6 chosen:4 interesting:2 fix:9 affine:7 lk:3 coordinates:2 li:6 forms:12 estimating:1 absence:1 lu:18 choose:3 tors:13 factorizes:1 derivative:6 main:10 might:2 into:8 arguments:4 correspondence:2 non:19 good:5 punctured:1 was:1 homeomorphisms:3 impossible:1 cover:4 introduce:5 bound:2 fr:1 framework:4 they:3 oxford:1 now:11 ordinary:3 easily:13 february:1 finite:6 2p:1 betti:1 homomorphisms:1 ag:1 author:1 invariants:33 hermitian:26 e2i:2 orthonormal:6 sufficiently:13 inequality:7 l2:32 each:1 crossing:2 found:1 entirely:1 2h:7 hu1:3 subset:10 tensor:1 hausdorff:11 arxiv:2 ei:12 g2:1 completions:5 simplicity:2 short:1 michael:1 energy:11 ea:6 idea:5 conventions:1 equivalence:2 kobayashi:2 ball:2 obtains:5 combining:1 our:45 happen:1 ev:1 tubular:1 partial:3 special:3 fu:7 w2:5 large:3 rv:5 space:147 gradient:1 since:24 induces:8 denotes:2 may:1 acting:1 vector:15 rational:3 denoted:1 formula:2 rn:1 induced:5 suffices:8 math:8 shows:9 representations:1 mρ:54 theory:12 associate:2 mapped:5 strata:1 free:3 standard:3 admits:5 difficulty:3 applications:7 base:4 sλ1:2 term:4 dx:1 asd:19 put:23 estimate:2 e1:14 e2:13 r4:1 definition:4 pairs:4 cycles:2 regarding:1 category:1 fa:5 geometry:9 omit:3 ahler:1 maximality:1 signature:1 consequence:2 lt2:1 onto:7 adjoint:1 first:27 origin:1 xk:1 rang:3 xi:1 peternell:1 blown:1 bijection:1 variables:1 dσ:29 assumptions:4 number:2 rank:19 system:11 multiplication:1 alternatively:1 hu0:3 least:4 directly:3 changing:1 indices:2 precisely:3 open:26 computed:1 given:13 necessarily:2 similarly:1 introduction:2 unknown:1 c0:8 πi:6 twisted:38 construct:2 their:2 assumption:6 seiberg:9 types:3 statement:10 pairwise:2 ordered:1 submersion:6 really:1 easier:1 gives:8 holomorphic:1 isomorphic:10 reversed:1 continuous:7 proving:3 hui:2 foliation:1 lgt:4 dωh:1 part:3 ahlerian:2 authors:1 norms:1 gluing:1 x0:34 representing:3 than:2 xj:1 interpretations:1 finitely:1 relative:3 determines:1 unfortunately:1 divisible:5 double:3 aλa:34 homotopies:2 imply:2 preparation:1 classes:20 yang:2 subgroups:4 dσg:1 providing:1 treated:1 minus:1 descriptions:1 paths:5 involution:4 lines:1 gauduchon:1 br:2 argument:3 curves:1 endomorphism:3 parameterized:3 close:5 need:3 seen:2 any:44 contents:1 prz:2 lie:4 zero:17 min:1 convenient:4 self:2 mills:2 isolated:1 indexes:1 note:22 instance:2 generalized:1 ex0:1 coincide:4 mayer:3 circles:7 memory:1 begin:1 parameterizes:1 unless:1 fundamental:3 trace:2 normal:38 hv:4 projectively:1 sets:5 systems:2 gι:8 metrics:41 complexes:2 regular:15 connected:25 comparing:1 formulae:3 pair:9 intrinsic:4 class:43 split:1 stands:4 constructed:2 observation:1 consequences:1 h2u:2 expects:1 clear:2 stronger:1 mrs:1 countable:1 ways:1 script:2 points:6 lpk:3 exp:2 overdetermined:1 left:5 h2a:1 sum:10 fact:8 joining:1 precise:2 hi1:3 pd:1 phenomenon:1 show:4 reductions:48 isomorphisms:2 supported:3 nodal:1 notations:7 purely:2 spaces:29 gauge:48 solutions:11 decompositions:1 joliot:1 carefully:2 fine:1 find:2 d0:1 principal:5 homology:8 fibre:14 q3:1 q2:2 based:1 just:5 extending:1 representation:5 boundary:1 written:6 topological:17 should:6 examples:1 analytic:3 only:12 explicitly:1 generators:2 subsection:2 factor:1 parabolic:1 circle:3 local:7 q4:2 achieve:1 continuity:1 abelian:18 triangle:1 dk:14 dh:2 get:18 dependent:2 dg:2 de:5 associates:1 da:55 inclusion:2 cannot:10 mred:12 words:9 lui:1 aι:8 db0:1 du:4 αh:1 subscript:1 ux:3 evolution:1 transversal:4 initial:2 multiple:1 introduced:2 curie:1 endomorphisms:4 differential:6 λa:1 yield:2 consisting:9 uu:3 bad:2 hitchin:2 publications:1 contain:4 through:3 extended:1 fixed:9 require:1 transversality:5 riemannian:11 kernel:3 moduli:84 set:41 modulo:4 λe:5 exists:17 surjectivity:1 dα:2 smooth:15 frame:1 hypersurface:1 nonconnected:1 2πih:2 connections:37 see:35 geometrically:1 result:15 chambers:1 meet:1 pe:4 acts:5 concern:1 surfaces:6 fails:1 satisfying:9 extend:1 intersecting:1 purpose:2 away:1 definite:11 representatives:3 symmetric:8 behind:1 identification:2 york:3 closed:10 between:5 si:2 invariant:31 geometric:7 conditions:3 checks:1 oversized:1 supposed:1 contradicting:2 notice:5 restricting:1 terms:7 vertical:2 nature:2 refine:1 injectively:1 complement:15 attention:1 weak:2 however:6 vanishing:26 concentrate:1 py:2 algebraic:2 eb2:2 article:2 configuration:3 vanish:3 ker:33 topology:9 both:4 essentially:2 c21:1 last:1 universit:1 irregular:1 always:6 freely:2 taking:7 density:2 ωh:3 agree:3 summands:1 connection:34 subbundles:12 present:1 instanton:22 embedding:5 4manifold:1 hypothesis:2 ia2:1 whole:4 cmi:2 comes:3 orientable:1 ch:3 fields:1 point:22 simple:10 cb:17 address:1 cohomology:17 harmonic:37 fibred:2 ga0:1 dimensional:19 alone:1 simply:10 conjugation:1 lagrange:1 moreover:4 ot2:2 writing:3 effective:1 te2:1 separable:1 torsion:1 kernels:1 te3:3 described:2 submanifold:23 adg:2 equivalent:9 locally:10 three:1 been:2 reduction:33 much:8 treat:1 interest:1 certain:3 expected:4 applying:2 abstract:2 empty:7 define:13 surjective:7 direction:1 certainly:1 corresponding:18 combing:1 restrictions:1 concerning:3 formed:1 subspace:22 coincides:6 andrei:2 gx0:1 representative:8 mail:1 c2:25 c1:39 denote:32 manifolds:20 case:20 p0:4 p1:4 splits:6 exponential:1 structures:3 ina:1 leave:1 admissibility:1 saveliev:1 prasad:1 value:3 deformation:4 will:48 euclidean:9 while:1 dν:1 suppose:26 compactness:2 evaluating:1 applies:7 exist:1 di:2 property:17 conformal:1 contained:3 maximal:2 unitary:1 orientation:2 stiefel:4 simons:1 almost:1 endowed:5 metric:37 conjugate:1 4c2:5 instantons:17 surface:5 4c1:1 characterize:1 regularity:15 im:7 cone:4 triple:1 fibration:2 claimed:1 rid:1 vietoris:2 id:19 proc:1 cohomological:1 different:3 lemma:17 vx0:13 suggests:1 generic:10 distributions:1 began:1 belong:4 admit:6 same:16 poincar:1 complex:25 connectedness:1 v1:8 proved:1 gets:13 composition:3 difficult:2 independent:1 used:7 solved:1 smale:4 assignment:6 numerical:1 functions:2 sym:8 hand:16 v0:8 usually:1 intersects:2 journal:1 uses:3 delicate:1 supposing:1 infinite:5 ira:1 identity:4 subspaces:4 task:1 center:1 subtorus:2 teleman:9 well:9 analysis:1 obviously:3 wedge:1 concrete:1 solve:1 components:3 fixing:1 position:1 dimension:18 subgroup:2 rus:2 manifold:40 proposed:1 being:1 generally:1 obtain:18 actions:1 vanishes:4 torus:3 transitively:2 via:8 identify:2 questions:1 immediately:1 4manifolds:3 g0:37 schreyer:1 hom:4 previous:3 letting:1 oriented:10 unique:12 preprint:1 classification:1 generator:4 application:1 regarded:8 conclude:2 seems:1 parametrization:2 wall:2 priori:5 extends:4 inner:2 easy:3 theorem:23 complements:1 situation:2 save:2 solvable:1 transformation:1 euler:2 take:1 real:18 vii:4 around:18 depends:1 eigenvalue:2 read:1 boundaries:1 possible:2 bijective:2 formalize:1 five:1 usual:3 background:1 mathematics:1 press:1 using:33 ams:2 intersection:9 decomposes:1 domains:1 mod:2 necessary:2 δv:4 follows:11 reduces:2 isomorphism:29 δs:1 nu:16 automorphisms:1 homotopical:1 δl:4 continue:1 yields:5 either:4 arbitrary:3 anti:6 pointwise:1 topologically:1 because:11 old:1 methods:3 classical:9 sequence:9 do:2 belonged:1 sequences:1 phenomena:1 back:6 homr:3 identified:15 sym0:3 b0:2 b1:28 b2:22 respect:22 proper:7 gγ:4 ru0:6 proofs:3 zariski:2 lg0:1 happens:1 possibilities:1 slice:3 dense:22 communications:1 cσ:2 lgh:2 2c1:6 2c2:2 representability:2 critical:3 decomposition:17 lattice:1 provides:1 steps:1 many:1 intersections:1 fake:2 minimal:2 freed:3 illustrate:2 meanings:1 ba:64 derivatives:1 problems:2 jumps:1 stratum:1 welldefined:1 rue:1 2l:11 step:1 nowhere:3 although:2 become:1 pv:1 tautological:5 th:1 ot1:2 properties:11 injective:3 quotients:1 sub:1 about:3 central:1 extension:3 most:5 theorems:3 latp:1 o:3 nontrivial:2 compatible:1 union:1 range:9 a2:21 ak:2 fredholm:8 act:1 uhlenbeck:10 pr1:3 transitive:1 ghx:3 automatically:2 morphism:8 metr:40 perturbed:1 contains:4 statements:1 automorphism:3 subbundle:6 h2:2 h3:2 image:7 h1:13 integral:3 functional:7 h4:1 locus:18 reducible:35 perturbing:2 right:4 references:1 sard:4 operator:4 ea0:9 france:1 diffeomorphically:4 yeung:1 ek:1 homotopy:14 assumed:2 strictly:4 there:25 question:1 u0:53 long:1 why:1 restricts:1 noting:1 low:3 way:15 institute:1 polystable:1 δli:2 sections:29 knowledge:1 naturally:3 function:5 hx:2 complete:6 form:27 regard:4 denoting:2 but:13 hu:7 volume:1 cedex:1 construction:6 mλa:14 basis:8 convergence:1 line:42 highest:1 true:2 hg:3 excision:1 pull:6 δl1:2 δl0:2 compute:6 neighborhoods:9 embedded:8 whether:3 compactification:8 submersive:3 variations:8 up:5 us:2 international:1 considered:4 below:2 ui:1 uk:1 planes:1 ue:3 problem:29 marseille:1 similar:12 called:8 ex:1 aa:30 ab:8 associated:21 choosing:3 dual:2 defined:30 flow:1 universal:12 congruence:1 determinant:1 general:12 globally:3 dirac:5 single:3 ar:3 distinguished:2 dθ:4 ind:3 means:2 formalism:1 openness:3 check:2 defines:13 again:3 vλ:2 priory:1 differentiable:4 no:14 ends:1 na:7 whereas:6 when:15 detail:4 virtual:2 nx:2 field:2 disjoint:1 other:19 role:2 test:2 ohta:1 out:1 superfluous:1 sufficient:2 polar:2 elements:11 indc:2 completes:1 ru:1 homologically:1 symbol:3 vertex:2 bundle:99 nonregular:1 a1:52 a0:122 generated:6 important:12 studied:2 describing:2 hat:1 provence:1 structure:7 surjection:2 independently:2 implies:15 coulomb:2 dω:2 assume:4 values:8 factors:2 pseudo:1 orbit:4 4p:1 them:1 equivalently:1 na0:4 lift:5 satisfied:1 time:1 appl:1 starting:1 having:3 whitney:4
0704.2626.txt |@word sci:1 remarkable:1 magnetic:11 global:1 resistance:34 leads:2 edu:1 4e2:3 whose:1 inverse:1 depend:1 zone:1 fellowship:4 demonstrate:1 finally:2 program:1 those:1 ti:2 indicating:1 case:2 tworzydlo:1 zhang:1 far:1 rise:1 results:6 electron:3 under:1 fal:3 difference:1 four:2 level:2 transmission:3 phase:1 small:1 mo:1 configurations:1 strongly:4 smaller:2 sin2:1 morozov:1 sign:5 approximation:2 zero:8 design:1 enhancement:1 further:1 implemented:1 odd:9 leakage:2 blue:1 what:1 plays:1 appear:1 nano:1 section:5 selected:1 while:1 thickness:1 bipolar:2 vb0:2 1t:1 above:2 new:1 3a:1 increasing:1 cheianov:4 agreement:1 full:3 hart:1 degree:1 component:3 here:2 understanding:1 puddles:1 condmat:1 explore:1 test:1 mes:1 represented:1 path:5 along:2 strong:1 appears:2 change:1 antisymmetric:1 colored:1 study:1 studied:1 chemical:1 published:1 ecs:1 noticeably:1 narrow:1 changes:1 plotted:2 composed:1 via:1 semiconductors:1 layer:8 katsnelson:1 altshuler:1 visible:1 modulated:1 apply:1 total:1 linearly:1 plot:5 conventional:2 charge:1 would:1 determined:1 predictions:2 intense:1 few:1 therefore:2 prefactor:2 taken:2 black:1 associated:3 type:2 theoretical:1 swap:1 flat:1 furthermore:1 marks:2 everywhere:1 sharply:1 particular:1 effort:1 document:1 must:1 pseudospin:1 high:2 account:1 crosses:1 room:1 quantized:1 integrating:1 science:4 setup:1 geim:3 peeters:1 reproduce:2 oxide:2 obvious:1 thin:2 following:1 cond:1 modifies:1 my:2 compare:1 semicond:1 give:1 predict:1 relativistic:1 chip:3 rodd:5 saito:1 sample:4 indicates:3 lϕ:2 performed:3 novoselov:4 sharp:5 junctions:6 absolute:1 afm:1 carriers:6 breaking:1 carries:1 regions:9 how:1 gate:31 isotropic:1 npn:5 mat:2 information:1 less:1 after:1 exfoliation:2 hence:3 produce:1 horizontal:1 data:2 types:2 diagonal:1 eµn:1 physical:1 liquid:1 author:1 lines:5 si:2 maintain:1 so:1 increase:7 order:5 brillouin:1 barnard:1 office:1 volts:1 over:3 vary:1 soon:1 produced:1 thermal:1 paper:1 through:5 cuts:3 its:1 perfect:1 adhesive:1 le:6 probability:1 2e2:1 solving:1 li:2 better:1 html:1 fig:27 covered:1 might:1 into:2 underestimate:1 good:1 junction:2 widely:1 than:10 entire:1 similar:1 outlined:1 material:3 yacoby:2 underneath:2 effects:1 they:2 das:1 sweeping:1 rotation:1 hall:2 acetone:1 2t:1 gets:2 always:1 university:1 identified:1 2d:1 sufficiently:1 2eh:1 magnitude:2 transmitted:1 2a:2 2b:2 each:8 crossing:1 entirely:1 interpolation:1 traces:1 typical:1 mean:5 series:2 4b:1 adam:1 conductance:2 magnetoresistance:2 todd:1 quantum:1 our:3 lithography:2 differ:1 extract:2 rt:1 living:1 shown:3 rw:1 jump:1 since:1 rev:7 microscope:1 research:2 diffusive:9 re:1 contained:1 rb:1 denoted:1 electronics:2 induced:2 occurs:1 shows:3 foundation:3 linear:2 barrier:27 localization:1 voltages:3 free:5 standard:2 applications:1 california:1 org:1 estimate:2 rises:2 e2:1 σmin:2 created:2 transition:1 times:1 length:5 plane:1 gordon:2 barriers:1 epaps:3 degeneracy:1 onto:3 already:1 symmetry:2 facility:1 simplified:1 hertz:1 thick:2 aip:1 passes:1 given:3 necessarily:1 sheet:18 temperature:1 width:3 top:19 πn:1 unexposed:1 heights:1 1a:1 their:1 1c:2 1b:2 ballistic:12 too:1 antisymmetrized:1 white:5 perfectly:2 gives:1 shifted:2 asymmetric:1 pnp:4 explanation:1 qual:1 optical:2 because:1 values:10 focusing:1 natural:2 peculiar:1 coefficients:1 center:1 wide:1 molecular:1 effective:1 require:1 transferred:1 tunable:6 future:1 amplitude:1 were:4 evaporated:1 function:12 resistivity:2 curves:4 electrochemical:1 seen:1 linked:3 estimated:2 angle:3 triggered:1 brongersma:1 note:1 potential:21 analogy:1 interior:1 gω:2 guichard:1 raman:2 even:2 beyond:1 opposite:4 incidence:3 successive:1 device:7 measured:3 why:1 πmin:1 deviations:1 kf:2 considered:2 clear:2 ko:3 inferred:2 yang:1 electrons:7 reflections:1 mechanical:1 ky:1 left:1 normally:1 sum:1 fact:2 slope:1 incorporate:1 particularly:1 show:1 text:2 supported:5 relation:1 uniform:2 symmetric:2 based:1 capacitive:1 explain:2 pmma:8 should:2 terminal:2 only:6 experiment:2 tape:1 screening:1 factor:1 local:4 spun:1 do:1 lockin:1 klein:1 distance:1 dependent:1 impinging:1 overall:2 beam:2 nearly:1 3b:3 report:2 areas:3 substrate:2 densities:6 arxiv:2 investigate:1 experiments:1 predicted:3 tunes:2 including:1 fixed:1 graf:1 view:1 set:2 swept:1 rycerz:1 national:2 notice:1 lett:6 relative:2 depends:6 electrostatic:2 enhanced:2 discussions:1 close:5 sem:1 conductivity:3 enlightening:1 away:1 complementary:1 label:1 µm:10 enough:1 unable:3 between:11 reproducible:1 fermi:4 boundary:1 across:13 µc:1 discovery:1 comparable:1 nature:1 interfaces:5 weak:1 however:2 incident:2 highlight:1 interface:2 carbon:1 ando:1 thank:1 both:6 spectrometry:1 limits:1 many:3 region:14 barely:1 2kf:1 laplace:1 sensitive:1 hwang:1 experimental:2 con:1 among:1 presumably:1 relevant:1 cm:19 point:4 color:3 cb:2 cg:1 cf:1 height:3 dimensional:2 strikingly:1 kev:1 doping:1 throughout:2 rpm:1 ct:5 unusual:3 described:3 addition:1 create:1 sara:1 due:1 been:2 bility:1 much:2 deposited:2 supplying:1 equation:1 expected:1 pn:3 define:2 controlled:1 coherence:1 else:1 bulk:4 external:1 present:1 naval:1 applied:5 unlike:1 crossed:1 voltage:15 examine:1 value:6 near:1 substantial:1 behavior:3 applies:1 exist:1 landauer:1 kimball:1 vb:8 jpn:1 almost:2 characteristics:1 graphene:40 continues:1 vt:17 limit:1 helium:1 currents:1 greater:1 arovas:1 different:2 nanofabrication:1 grant:1 realizing:1 cross:4 same:8 any:1 shorter:1 simultaneous:1 emphasize:1 schematic:1 several:6 higher:3 independent:2 calculation:1 used:2 http:1 see:3 upon:1 sarma:1 steps:1 kim:2 recent:1 reflection:1 charges:1 no:1 well:1 flakes:2 dashed:2 position:1 model:16 arising:1 dimension:1 maxima:1 gates:5 understood:1 proposed:2 huard:1 adjusted:1 modes:1 dose:1 underlying:1 atomic:2 predicts:1 part:10 rn1:4 scattering:4 yet:1 mmax:3 integer:1 density:23 smoothness:1 wavevector:3 simple:1 valid:1 dielectric:2 relevance:1 role:1 ferrari:1 momentum:1 beenakker:1 marco:1 aspects:1 nat:2 possible:2 possibly:1 increases:4 similarly:1 using:12 shadow:1 accepted:1 nakanishi:1 follows:1 qualitative:1 yields:1 either:1 fully:3 δg:1 inter:1 essential:2 www:1 right:1 picture:1 some:1 back:11 calculated:2 respect:3 transport:12 scale:2 lead:1 vt0:4 measurements:10 per:1 does:4 provides:1 assuming:2 greyscale:2 l2:5 mode:1 slight:1 equivalent:1 fabricated:2 use:1 step:2 corp:1 although:1 exciting:2 properties:3 about:1 pereira:1 usa:1 constraint:1 dependence:1 flake:1 range:3 carrier:6 mccann:1 technol:1 peak:1 berger:1 soc:1 presence:3 image:1 within:3 backscattering:2 uncontrolled:1 neutrality:2 ppp:1 strip:3 proportional:1 resistors:1 elastic:2 area:1 transfer:1 specifically:1 pages:2 dispersion:1 capacitance:1 low:1 way:1 valley:1 was:12 hz:1 form:3 jun:1 3t:1 but:5 construction:1 link:1 related:1 line:4 removed:1 stanford:5 whether:2 characteristic:1 smooth:1 maximum:2 us:1 below:1 graphite:3 spectroscopy:1 fluctuations:4 more:2 minutes:2 average:3 regimes:1 mechanics:1 nnn:2 diverges:1 constant:1 defined:1 holes:2 universal:1 measurement:1 metals:1 single:4 sublattices:2 crystals:1 work:2 approximated:1 interferences:1 goldhaber:2 compared:1 paradox:1 nm:10 ingredients:1 na:1 whereas:1 when:1 resistances:1 nf:2 graduate:3 field:12 other:1 electrical:1 details:1 normal:1 spatial:1 department:1 additional:1 conclusion:1 poor:1 explaining:1 perpendicular:4 separate:1 chem:1 william:1 individual:1 allowing:1 suppression:1 au:2 sides:1 structure:1 exposure:1 independently:1 regime:4 coupling:2 corresponding:1 physics:3 4t:1 curve:2 together:1 vasilopoulos:1 mass:1 lying:1 n1:42 n2:46 baked:1 having:1 4a:1
0704.2627.txt |@word limited:3 func:1 desirable:3 fortiori:1 consists:1 increase:4 violate:4 paris:1 under:3 cm2:1 4nk:1 conjecture:1 rise:1 trigonometric:3 every:1 figs:1 summarized:1 experimentally:2 4n3:1 ref:1 solution:21 convenience:1 vector:2 indices:2 force:2 miller:2 estimates:1 direct:2 pulse:26 approximation:8 second:23 estimated:1 even:16 errors:1 nez:1 above:8 new:5 increasing:1 consisting:1 coefficient:2 simultaneously:2 becs:3 here:7 atoms:26 reported:3 calculate:10 obtained:18 suitably:1 study:3 ignoring:1 complicated:1 suitable:4 changes:6 cancellation:2 appropriately:2 explained:1 replace:1 brought:1 stern:1 total:4 derivatives:1 would:8 noting:1 therefore:5 m2:2 until:1 populations:1 odinger:10 berlin:2 excellent:1 bernet:1 hold:1 must:5 springer:2 mf:4 erp:24 work:9 mw:4 ms:1 henry:1 root:3 example:22 sinusoidal:2 wang:1 give:9 cited:1 vos:1 organized:3 updated:1 titanium:1 caution:1 want:4 keep:1 absolute:4 end:2 ultracold:1 how:1 oscillatory:1 description:1 replacing:1 after:5 types:1 undesired:3 third:7 grant:1 aoms:1 summing:2 chikkatur:1 green:1 2ikz:2 order:89 office:1 over:6 vary:1 satisfied:3 london:1 affect:1 linewidth:3 before:2 somewhere:1 pritchard:6 better:1 fig:25 versus:13 them:3 combination:4 band:3 effects:8 they:15 kozuma:3 electro:1 routines:1 kurtsiefer:1 fringes:3 each:6 acoustic:2 interfering:1 side:2 mean:10 successively:1 series:14 magneto:2 substantially:5 laboratory:1 gradient:1 restricted:3 clade:1 re:3 at2:2 at0:1 reader:2 xu:1 forth:1 hogan:1 bouyer:1 foundation:1 linear:5 abramowitz:2 little:1 free:1 standard:5 sensors:1 tino:1 starts:1 signature:1 corrections:15 purpose:1 already:4 koolen:2 restrict:4 2a2:2 another:2 electronic:1 rempe:5 eqs:6 approximately:3 listed:2 inconvenient:1 tool:2 ωac:5 somewhat:1 iωr:1 approximations:1 preparation:1 matter:8 modulators:2 tion:1 minus:2 rad:2 seen:4 seem:1 unaffected:1 relatively:4 strength:4 convenient:1 latter:2 predominantly:1 broglie:1 scripta:1 shall:4 simulated:1 simplify:1 optimized:1 germany:2 cronin:1 phase:48 calculated:7 principle:3 bouchoule:1 sum:1 dot:1 dover:1 rayleigh:1 nπ:1 probe:2 radio:1 solutions:4 substituting:2 d2:1 situations:4 coefficients:13 integrate:1 constant:23 dn:1 do:4 dm:1 dg:1 de:2 dv:1 dt:19 dp:1 unfortunately:4 fields:1 acknowledgments:1 twice:1 julien:1 reference:1 sensitivity:1 testing:2 observed:2 depends:2 result:13 w0:1 discussions:1 best:1 techniques:1 exponent:1 inappropriate:1 µs:3 approach:8 terms:15 extend:1 nature:1 confusion:1 weak:1 however:21 wu:2 wr:12 butions:1 bose:8 coq:1 cos:21 cot:3 chirped:1 uncertainty:2 against:3 planned:1 exceeds:1 contribution:1 adapted:2 con:1 iϕ:3 addressing:1 lutwak:1 initiative:1 constructively:1 san:1 mathieu:25 fre:1 basis:1 observing:1 three:2 been:16 quickly:1 ansch:1 t2:11 much:7 interest:1 basic:5 expected:3 ann:1 retrospect:1 ani:3 coherent:5 applied:1 inhomogenous:2 stenger:2 aim:1 near:2 suppose:4 procedure:1 iv:3 ii:8 ih:1 voges:1 ie:1 ig:23 confirmed:2 descent:1 things:1 make:3 dition:1 complex:4 several:2 hermiticity:1 a2r:2 peaks:1 numerical:10 hand:7 potentials:1 interferometers:10 specialize:2 kept:2 academic:1 gnf:2 left:3 just:3 newton:1 photonic:2 thanks:1 scattering:38 previous:7 enters:2 agile:1 had:1 iω:1 bni:3 spread:3 unwanted:2 fattori:1 opt:4 breaks:1 possible:3 background:1 appearing:2 unnecessary:1 νa2:2 arbitrary:7 frantz:1 scatterers:1 right:2 truncated:3 selectivity:1 kuga:1 bord:4 separately:1 πt0:2 reflection:2 oscillating:3 shifting:1 properties:2 chapter:3 o:2 plus:2 slightly:2 considerations:1 soc:1 gradshteyn:1 obtaining:6 advantages:1 down:2 pair:1 acad:1 reducing:2 methods:1 rely:1 support:1 adiabaticity:8 approximate:2 width:1 conservation:1 fraction:3 was:3 purposely:1 lowest:1 form:11 distortions:1 removed:3 true:1 maximum:11 simplifying:1 sapphire:1 stuhler:1 proved:1 computing:1 textbook:1 exist:1 regime:39 ni:10 nk:3 nm:1 nn:2 no:11 whereas:1 nc:2 when:7 vanishes:2 nf:3 reality:1 interested:5 nt:2 optically:1 picture:3 truncate:1 variable:1 faster:1 12n2:1 assume:6 dπ:4 time:33 n1:4 n2:34 n4:1 neighbors:1 measurements:3 switched:2 particular:5 focus:1 leads:2 computation:4 primes:1 layers:1 certainly:1 inverse:5 depend:2 graph:6 editors:1 passage:1 quasi:14 analogous:1 trippenbach:1 orthogonal:1 frequencies:7 choice:3 anonymous:1 tridiagonal:1 exact:12 level:7 did:1 turns:1 solved:5 fourier:6 upper:7 oscillation:2 insignificant:1 prediction:1 sign:3 driel:1 substitute:1 adds:3 dek:1 satisfy:1 cos2:2 groups:1 address:1 along:1 prentiss:1 appears:1 change:1 noticeable:1 shift:10 studied:2 usually:2 resonance:1 conveniently:1 g2m:2 plotted:17 adjustable:1 useful:4 ekstrom:2 extra:1 mcguirk:1 softens:1 biraben:1 stated:2 theoretical:8 oberthaler:3 outputs:1 apparent:1 envelope:18 validity:3 appendix:7 diffracted:1 cases:1 rion:1 ibn:1 inertial:1 values:8 hope:1 cam:1 following:7 making:3 ibt:3 nearest:1 predict:1 sample:1 chin:1 performed:1 allowed:2 requirements:1 s1:1 write:4 unrealistically:1 criterion:3 pure:3 parameter:2 may:11 applications:8 produce:2 data:2 eighth:2 kurn:1 natural:1 outline:1 explicit:2 ghz:1 so:8 sm:1 representation:1 se:2 superscript:1 leanhardt:1 indeed:2 pointed:1 mainly:3 stability:1 course:1 experiments:8 still:12 derive:1 thank:1 interesting:2 decreases:3 forms:1 offers:1 ours:1 main:1 kasevich:2 non:3 processes:1 scaling:1 half:1 now:11 term:5 drop:1 proteins:1 possibilities:2 realistic:1 entirely:1 em:1 square:19 ei:1 ed:1 ef:1 gaussian:24 interferometer:13 year:1 wavelength:1 approximated:1 eq:48 shown:5 3rd:1 space:5 furthermore:1 interference:3 looking:2 modulation:1 bragg:81 gaussians:1 squares:1 correct:1 shows:3 theory:13 mechanisms:1 quite:1 california:1 remainder:2 care:1 derivation:1 language:1 transition:7 iterative:3 motion:2 turn:6 undesirable:1 βn:14 neglect:4 first:17 exotic:1 initial:26 symmetry:1 omitted:1 variables:1 transform:1 simplified:5 long:15 impossible:1 size:2 iam:1 given:21 necessarily:2 checked:2 crossings:1 2ωr:1 returns:1 realization:1 national:2 gives:5 way:7 continuous:1 transverse:1 quan:1 attempt:1 representing:1 than:18 specify:1 population:31 effective:23 require:1 transferred:2 were:3 pre:1 raman:16 anf:1 rend:1 correction:2 argument:4 generalization:1 20i:1 recover:1 saw:1 any:5 kunze:1 efficient:5 note:4 phillips:1 potential:8 take:9 coincide:1 hyperfine:1 differences:1 multiple:5 paid:1 dieckmann:1 remarks:1 analytically:1 inserted:2 especially:2 considered:6 later:5 sigma:1 slope:1 show:3 contemporary:1 ωd1:1 fifth:2 ground:3 slow:2 ratio:1 pump:3 analytic:7 only:14 explicitly:1 black:1 polarizability:2 cannot:5 rasel:2 prime:1 adiabatically:6 parasitic:3 yield:3 summary:2 predicted:4 salomon:1 ignored:1 filters:1 violated:1 ends:1 relative:6 eliminating:1 satisfying:1 eigenfunctions:1 subsequent:4 review:1 diode:1 justifies:1 outside:1 between:8 justified:1 αn:10 vertical:1 comp:1 jr:1 jm:2 many:7 region:12 nomenclature:1 personal:1 dated:1 expression:4 overview:1 period:3 dahan:1 maintained:1 cancel:1 moreover:8 considering:2 cosine:1 e4i:11 wants:1 direction:1 chan:1 photon:15 observe:1 coherently:1 those:4 case:16 shaeer:1 coupled:2 discrepancy:1 according:1 couples:1 technology:1 different:6 develop:1 same:9 shifts:20 verifies:2 arguments:2 zehnder:4 driven:2 takahiro:1 minimize:1 roughly:1 without:1 solve:1 polynomial:2 being:2 generally:1 stegun:2 ch:1 aspect:1 sugiura:1 photons:3 seems:1 treatment:4 grating:3 momentum:22 real:5 around:2 eigenvalue:1 read:1 using:17 mod:1 adams:1 particle:1 reduces:3 either:1 integrals:6 output:6 reduced:3 table:1 duration:3 nanometer:1 matching:1 reasons:1 nonzero:3 provided:2 calculating:9 confirm:1 cavity:1 provides:2 propagating:1 bessel:1 refer:1 specializing:1 eiϕ:1 scientific:1 power:11 seconds:1 sixth:1 2m:11 refers:1 comparison:5 discussed:2 practical:4 neighbor:4 act:1 helmerson:1 sensitively:1 outlook:1 inclusion:2 diffractions:3 numerically:3 determine:6 einstein:8 theoretically:2 assumed:2 there:4 dimopoulos:1 start:3 low:24 lot:1 assumes:1 complete:1 newtonian:1 vanishing:3 formalisms:2 recoil:8 elimination:6 rolston:1 longer:6 applying:2 stanford:3 ωr:71 ωt:6 kapitza:1 ωn:2 semiclass:2 ωe:1 ωd:2 ωg:6 regimes:3 strongly:3 taylor:2 certain:3 ak:2 describe:4 am:2 general:7 ar:1 governed:1 tedious:1 again:2 igt:1 field:1 valid:6 ign:1 separate:1 durations:1 yoichi:1 a1:1 a3:3 important:3 peak:8 prudent:1 building:1 bulk:1 buchner:2 mass:1 starting:2 represent:1 sci:1 consider:13 gupta:3 forbidden:1 splitting:3 follow:1 expressions:13 research:2 equivalence:1 program:1 c5:1 th:3 te:1 amplitudes:6 straightforward:2 returning:1 very:18 worst:1 fall:1 difference:5 condition:13 splitter:8 hamiltonian:2 list:2 t3:11 t0:35 t1:2 large:13 small:3 appearance:1 zero:6 further:3 richard:1 section:11 brief:1 abo:1 issues:1 method:31 contrast:4 leeuwen:1 condensed:2 full:1 component:2 b2r:2 selective:2 operating:2 ansatz:2 berkeley:3 directions:1 strong:5 equations:11 nonn:1 losses:68 allows:7 periodic:4 published:1 narrow:1 via:2 requiring:1 readily:3 conventional:2 eye:1 proceed:2 contains:1 taken:3 more:11 emission:1 diot:1 tested:1 basically:1 varying:9 known:8 vladimir:1 science:1 equation:32 paragraph:1 strategies:1 dec:1 spontaneous:1 toshiaki:1 compare:1 acousto:2 neglected:4 states:37 minimum:7 numbers:1 arise:1 sharp:1 schmiedmayer:5 huge:1 recursive:1 rather:2 influences:1 ensemble:1 wiley:1 derived:6 pfau:1 waves:13 verified:1 short:7 chiefly:1 negligible:12 developed:2 distortion:1 thermal:2 paper:5 through:1 lasers:2 kinetic:3 its:3 rapidly:2 sodium:2 solving:2 actually:2 systems:1 might:1 good:5 cem:2 yu:1 2t:5 channels:1 2v:1 finite:3 2p:1 2q:4 2r:3 always:2 presented:3 2f:1 2a:1 found:6 2n:11 2j:6 2k:5 ammerzahl:3 generation:1 energy:11 hard:4 reduce:4 idea:1 expect:1 measurement:5 quantum:2 operation:4 beyond:1 ketterle:2 since:18 denotes:1 dominated:1 denoted:4 induced:1 evaluation:1 fiber:1 lawrence:1 guess:1 mathe:1 peik:1 difficulty:1 6n2:1 beginning:1 hammond:2 consequence:1 jex:2 integrand:2 probability:2 number:1 explored:1 instances:1 done:1 differ:1 termined:1 temperature:1 introduction:2 leading:4 interact:1 osung:2 assumption:3 calculations:1 dt3:2 dt2:2 dt1:2 dt0:4 shifted:3 optical:7 contri:1 schr:10 translation:1 oscillate:1 peaked:1 determines:1 dte:6 determined:2 treated:3 motivation:1 orders:17 built:2 lin:1 interferes:1 k2:2 k1:1 generalized:2 analogy:6 finding:4 eff:2 towards:1 electric:2 mlynek:1 reach:2 most:7 significant:1 alpha:1 measured:1 mach:4 ki:2 focussing:1 physica:1 part:5 exp:9 velocity:9 physics:8 wavenumber:1 particularly:1 phenomenon:1 scattered:3 relation:2 scatterer:2 fine:4 find:9 parameters:3 distributed:1 iet:1 cot2:1 factor:10 columns:1 notation:1 dependent:2 beams:2 express:2 4ωr:1 julienne:1 lattices:1 alexander:1 arxiv:2 investigate:1 common:1 set:3 achieved:4 mcgowan:2 see:13 sec:12 close:4 sem:2 paul:1 hagley:2 raithel:1 various:3 envelopes:4 kth:2 conditions:5 available:3 initially:3 attention:6 incident:2 remaining:2 both:6 last:3 reverse:1 relabel:1 context:1 experimental:3 inouye:1 point:7 simple:5 corresponds:2 dimensional:4 throughout:2 lithium:1 hadzibabic:1 ensures:1 described:3 acceptance:2 due:12 reduction:4 dropping:1 ph:1 lett:15 referee:1 transferring:1 precision:4 gap:1 determination:2 systematic:3 demand:1 p2:3 p3:1 look:2 exponential:3 pacs:1 evaluated:2 while:11 replaced:5 behavior:1 error:10 couplings:3 resolved:1 von:1 encountered:1 reads:2 itself:1 quency:1 ready:1 vanish:1 lengthy:1 fibers:1 stimulated:1 virtually:1 products:1 higher:18 calculation:9 used:9 optic:2 levels:2 uses:1 appreciable:1 t20:4 lower:10 kellogg:1 analysis:1 obviously:1 self:2 shape:3 atomic:13 spatially:1 tables:1 workers:1 theorem:1 relevance:1 excited:4 loss:7 couple:1 philos:1 integer:1 modifications:1 follows:5 signal:2 adiabatic:29 translates:2 shapes:2 yields:5 collective:1 mathematical:1 often:1 some:3 pierre:1 understood:1 examples:1 b3:3 oscillations:7 scale:4 describing:2 though:2 integration:2 waveform:1 eliminate:2 gradiometer:1 proc:1 inserting:8 denominator:4 run:1 sheng:2 bm:2 bn:9 agreement:3 br:1 subtract:1 works:1 gratings:3 simulation:3 range:3 bloch:6 into:33 within:3 integral:16 appropriate:2 steven:2 proportional:1 rows:1 extremely:3 sequence:1 fast:2 handbook:1 sections:4 serie:1 properly:1 atom:45 line:2 themselves:1 characteristic:2 up:13 us:7 spectroscopy:3 similar:6 willem:1 associated:2 defined:2 specified:1 influence:2 single:6 numerators:2 formalism:5 graham:1 air:1 application:2 department:2 cated:1 elements:1 excitation:3 polynomials:2 chirp:1 kz:6 reflectors:1 structure:6 independently:1 practically:1 required:2 diffraction:52 depth:2 incomplete:1 berman:5 far:2 jansen:1 meystre:2 requires:7 having:7 once:2 gt:2 bandgap:1 results:13 existing:2 torii:2 edu:1 gn:57 gm:14 contributions:1 ballagh:2 gases:1 concerned:2 factoring:1 anglin:1 helps:1 include:4 g5:3 g3:2 g0:1 wave:18 resonant:1 2rv:1 eigenvalues:10 optics:2 gerlach:1 smaller:2 enclosed:1 insertion:3 dynamics:1 odd:4 index:1 3v:2 expressed:3 64n:1 wiggles:3 experiment:1 lee:2 respectively:2 desired:5 explore:1 ramsey:2 uchner:2 separation:2 others:1 sine:2 holger:2 technical:3 larger:8 maleki:1 suggests:1 resulting:2 cesium:4 makes:1 frictional:1 wicht:1 castin:1 integrations:1 addressed:1 decrease:1 condensates:6 apply:3 cloud:2 standing:12 use:13 asymptotic:1 remains:2 next:5 few:2 chu:5 exhaustive:1 becomes:4 channelling:3 isat:2 iii:3 account:8 averaged:1 drops:1 averages:1 scatter:2 proof:1 control:2 process:5 boseeinstein:3 purposes:2 high:15 assumptions:2 tan:2 hensley:1 holds:2 sin:21 petermann:1 easily:5 locked:1 efficiently:1 light:15 chapman:2 road:1 allow:3 subsequently:1 discussion:1 horne:2 produces:1 produced:2 stamper:1 including:5 mentioned:1 lg:1 le:1 outer:1 rizzo:1 chosen:3 relativity:1 hobbs:1 choose:2 rabi:35 derivative:3 eur:1 factorial:1 ωr2:9 material:2 impaired:1 february:1 dirac:1 university:2 radians:1 sufficiently:4 magnitude:5 subset:1 morsch:1 chung:1 related:2 frequency:37 thirteen:1 measure:1 our:9 transitions:6 special:1 out:10 matrix:5 rev:31 ωe1:1 performs:1 cause:1 integrated:1 burke:1 marek:1 8i:1 interactions:3 approaches:2 york:2 interaction:24 geometry:3 times:13 ω2k:1 hence:1 christoph:1 powerful:2 reaches:1 reached:1 wavefront:1 unknown:1 condensate:3 system:5 relations:1 their:4 intermediate:3 πt:2 final:26 denominators:1 exactly:2 manipulation:1 waist:1 ben:1 bec:1 amplitude:7 steep:3 exhibit:2 hz:1 developement:1 keller:2 need:1 clearly:2 acceleration:2 angle:4 studying:1 gravity:3 ωeff:51 accuracy:5 unless:2 who:3 plugging:1 but:8 preliminary:1 class:1 neighboring:3 urr:5 oscillates:1 deng:2 fact:3 supported:1 chapters:1 rotating:1 bring:1 bian:2 dbr:1 agrees:1 subtracting:1 highest:1 based:12 knowledge:1 should:3 local:1 achieve:2 equilibrium:1 means:6 familiar:1 overall:2 beam:16 ones:1 brillouin:1 timing:2 lossless:1 evolution:1 differential:3 contain:1 pulses:40 view:1 computed:4 smooth:6 frame:1 intensity:1 computer:1 truncating:1 cyclotron:1 phases:2 pattern:2 superradiant:1 tend:1 favor:1 state:39 closed:6 invariant:1 boundary:1 comparable:1 p2m:2 interfere:1 efficiency:8 probing:1 configuration:1 distribution:1 freely:1 taking:1 equal:6 fulfilled:1 ln:3 refraction:1 otherwise:4 splitters:6 relevant:2 cm:3 ca:2 narrower:1 ce:2 cs:2 respect:1 cp:1 geometries:2 addition:1 lu:1 slowly:4 treat:3 define:3 arises:1 sufficient:5 essentially:3 zeilinger:5 c9:1 c8:1 angles:1 c3:1 c2:1 c1:1 c7:1 c6:2 present:7 c4:1 laser:5 unlike:1 harder:1 value:10 rectangular:1 will:48 vi:1 thus:38 surface:1 vo:1 radiation:1 unity:1 units:6 gets:2 difficult:3 retter:1 practice:6 http:1 upon:1 effect:5 infinite:4 expand:4 off:3 center:1 well:8 arising:2 usual:3 less:2 accurate:4 obtain:24 predicts:2 uller:3 momenta:1 rapid:1 density:1 wen:1 lattice:4 nath:15 mikio:1 c13:1 c12:2 c11:1 c10:2 c14:1 identical:1 tests:1 famously:1 increases:2 mathematics:1 press:1 insert:5 necessary:1 like:7 lost:5 alternatively:1 mhz:1 martin:1 setups:1 become:6 δe:1 replacement:1 because:13 vortices:2 wider:1 scatters:1 choosing:1 neglecting:2 happens:4 lead:7 csc2:3 broad:1 cπ:4 14th:1 does:3 assuming:1 demonstrated:1 noise:1 slight:1 expansion:14 although:4 offset:1 imaginary:2 simpler:1 about:11 actual:1 carried:1 extension:1 saddle:5 dependence:2 compatible:2 a2:4 introduced:5 previously:1 functional:2 eini:1 van:2 additional:2 transfer:6 yoshio:1 detuning:2 peters:1 appl:5 suzuki:1 interferometry:12 function:24 fountains:1 vuletic:1 hk:1 hn:2 ear:1 hg:1 truncation:7 made:3 compute:1 gravitational:4 variations:1 below:9 limit:8 iterated:3 steepest:1 problem:2 minutes:1 interchanges:1 contribute:3 crystals:3 inf:2 diego:1 functions:40 compared:5 other:19 conspires:1 variation:1 steck:2 coupling:1 factors:4 4n:4 4k:2 4i:7
0704.2628.txt |@word limited:1 concept:1 consider:3 baruch:1 rev:23 desirable:1 focus:1 code:1 parameterization:2 contributions:1 issues:1 b268:1 schiff:1 γs:2 shrinkage:1 concerned:1 quasi:1 helps:1 th:3 very:8 b188:1 results:3 telling:1 experimentally:2 rapidities:3 incoherent:1 presented:1 did:1 erratum:1 applicable:1 large:3 small:1 application:1 dilute:3 specially:1 imply:1 value:1 uncomfortable:1 further:4 dynamics:3 implemented:1 targets:1 tev:2 goes:4 even:1 plays:1 pts:1 section:7 current:1 mueller:2 above:1 judicious:1 new:1 increasing:4 method:1 wiedemann:1 measurements:1 ibid:1 here:3 understanding:1 objects:1 address:1 ratio:1 quark:5 equations:2 change:2 obtained:1 incoming:4 involved:2 study:1 tuchin:1 rda:1 fourier:1 changes:1 useful:2 gluons:2 apr:1 explained:1 highly:2 weigert:5 decrease:8 use:5 would:4 predictions:4 centrality:3 few:1 nucl:23 kinematics:2 therefore:2 qcd:4 until:1 more:4 introducing:1 partons:2 duality:1 becomes:1 glass:3 varying:1 known:4 cases:1 carried:1 topic:1 pushed:1 work:3 minimum:1 values:1 kovner:6 determining:1 example:1 figure:6 give:2 choice:1 dxp:1 high:6 collision:1 assumptions:1 xmin:1 rescaling:1 absolute:2 needs:1 hoc:1 dglap:4 rather:2 feature:1 regions:7 far:1 varies:1 iancu:4 parameter:1 profile:1 fq:2 description:1 ayala:1 may:5 freezing:3 signature:1 stasto:1 mapping:1 collection:1 applications:1 fg:2 hayashigaki:1 summarize:1 da:2 data:1 natural:1 dynamical:1 nuclth:1 balitsky:1 provide:1 so:2 fundamental:2 decreasing:1 order:7 talk:1 kumano:1 baier:1 brahms:1 albacete:1 developed:2 over:1 rt2:3 utilize:1 produced:24 experiments:1 looks:1 mentioned:1 satisfies:1 its:1 thank:1 ln:2 lo:1 expectations:2 decreases:3 better:1 production:16 fig:1 overcome:1 eur:1 yh:6 non:2 propose:1 qs:1 scaling:1 framework:3 effects:2 adcox:1 discuss:1 jalilian:13 kharzeev:4 nara:1 magnitude:6 heavy:1 domain:1 differential:1 evolve:1 energy:9 hard:1 mclerran:7 idea:2 related:1 extended:1 expect:1 our:2 eq:1 out:1 rt:3 leave:1 shown:3 shadowing:1 factors:1 furthermore:3 since:10 crucial:1 armesto:1 increase:2 collisions:17 dominated:1 reader:1 denoted:1 after:1 hirai:1 mechanisms:1 free:2 diagnostic:1 difficulty:1 formation:1 york:1 definition:2 ion:1 starts:1 could:1 turn:1 projectile:2 hadrons:9 adjoint:2 colliders:1 first:1 phobos:1 probability:2 xf:8 xg:4 phenix:1 multiplying:1 fast:2 another:2 xp:9 size:1 given:4 necessarily:1 checked:1 needed:3 introduction:1 leading:3 condensate:3 their:2 assumption:1 gyulassy:1 fraction:1 asymmetric:1 explanation:1 transverse:38 part:2 somewhat:1 lhc:10 than:1 hepph:5 determines:1 target:6 was:4 nevertheless:1 future:2 contrary:1 were:2 enables:2 treated:1 perturbative:3 troublesome:1 rab:1 smaller:1 need:2 seen:4 seem:1 any:2 min:10 responsible:1 able:1 mid:3 sciences:1 accuracy:1 milhano:2 trace:1 collaboration:4 object:1 phase:3 measured:2 calculated:2 feynman:1 principle:2 exp:1 physics:9 away:1 fact:1 phenomenon:1 gold:3 show:6 probe:2 multiplicities:5 d2:6 nlo:1 q0:2 q2:2 based:1 just:1 tranverse:1 should:1 only:3 going:3 factor:2 do:1 his:1 gev:24 dh:3 dependent:1 overall:5 truly:1 pions:15 beam:1 dyh:3 despite:1 evolution:4 dumitru:3 arxiv:21 factorization:4 acknowledgments:1 investigate:1 predicted:3 gribov:1 hadronization:3 deuteron:4 predictive:1 set:1 computed:1 observed:3 see:6 college:1 result:1 discussions:1 close:1 alternative:1 cutoffs:4 αs:1 matter:1 nuclear:2 review:1 currently:1 bias:5 dipole:5 gluon:2 enough:2 approach:9 d55:1 available:1 venugopalan:8 nature:2 however:1 extent:1 modeling:1 observable:3 toward:1 limits:1 successes:1 region:2 uncertainty:5 according:1 against:1 sensitive:1 kovchegov:4 expression:1 experimental:1 among:1 blaizot:1 mehtar:1 color:3 corresponds:1 proton:11 anti:1 applicability:1 pqcd:1 pp:1 salgado:1 kinematic:9 due:2 been:3 pmin:2 describes:1 slowly:2 treat:1 expected:3 ph:13 define:1 contribute:1 coherence:1 photon:1 case:2 ryskin:1 reliable:1 profiles:1 will:2 while:3 behavior:1 applies:1 investigating:1 inspired:1 equal:1 itself:1 claimed:1 insensitive:3 different:15 dhj:2 make:5 cross:11 modification:1 higher:3 independent:1 used:1 effect:2 average:27 appreciable:1 robust:3 lower:9 minimize:1 studies:1 well:1 edge:2 quantitative:3 model:1 dimension:1 justify:2 proposed:1 less:1 judiciously:1 momenta:4 nardi:3 scattering:3 density:1 setting:1 lett:8 plasma:1 momentum:41 identical:1 saturation:14 aspects:1 possible:1 increases:2 using:4 rhic:15 adams:1 modifications:1 semi:2 particle:6 contradict:1 tani:1 ignore:1 become:1 soft:1 essential:3 successfully:1 some:1 back:1 growth:1 nagai:1 choosing:2 star:1 rapidity:21 happens:1 provided:1 scale:9 dense:3 lead:3 quarks:1 integration:1 jimwlk:1 does:2 eliminate:1 prog:2 leonidov:3 minimal:1 refer:1 gelis:7 power:2 cgc:9 obscures:1 bt:3 q2s:3 biases:1 hadron:19 comparison:1 about:11 central:1 pt:29 anomalous:1 dependence:8 map:1 slightly:1 cutoff:13 into:1 three:2 appropriate:1 references:1 parton:5 shrinking:1 theoretically:1 uncertainties:1 hep:14 log:3 there:1 transform:1 long:1 pa:1 low:2 way:2 forward:8 examination:1 sections:4 function:3 becoming:1 but:4 neutral:5 satisfactorily:1 faster:3 fragmentation:8 intuitive:1 whether:1 levin:3 quantitatively:1 below:1 limit:2 distribution:2 similar:1 called:1 ex:3 nuclex:1 constant:1 ad:1 inclusive:1 defined:1 abstract:1 describe:3 single:1 formulation:1 qiu:1 formalism:6 arsene:1 again:1 functions:6 compared:1 no:1 na:3 wavefunction:1 hybrid:1 marian:13 nf:3 ny:1 valid:2 role:1 details:1 department:1 alleviates:1 ferreiro:1 important:1 nucleus:2 suppression:1 pisarski:1 coupling:1 pion:3 tested:1 space:3 dσ:3 observables:2 nuclei:1 integrates:1
0704.2629.txt |@word grenoble:1 represent:1 gs:3 sch:4 chain:1 induces:3 global:5 unique:5 results:16 invent:1 four:1 proposition:29 mukai:1 follow:2 disk:2 dht:1 consider:9 compact:50 whose:3 depend:1 analytic:22 tx:1 ty:2 tt:2 equivalence:3 tr:6 nakajima:2 tq:1 quasi:1 program:3 fischer:1 aut:2 th:2 stable:45 rham:1 geom:1 norm:2 donn:1 conjecture:10 preserved:1 orthogonal:1 very:8 minimal:5 springer:1 induce:1 corollary:14 valued:3 every:25 dolbeault:1 exact:3 condition:6 look:1 dim:1 riemann:1 cmi:4 level:1 irreducible:3 who:1 list:2 solution:2 t0:7 try:2 assignments:1 vector:10 announced:1 2l2:1 fourier:3 small:4 relation:1 special:2 shows:12 round:1 gang:1 canonical:1 smaller:1 neighborhood:1 lecture:2 mail:1 direct:1 literature:1 brill:3 second:10 normed:1 plenum:1 mk:3 further:2 estimated:1 odd:3 exterior:1 linear:1 even:11 aim:1 what:2 gl:6 plays:2 stands:1 invertible:3 demailly:9 section:10 celebrated:1 pic0:4 current:29 version:6 above:10 sup:3 new:6 nicholas:2 method:4 satisfy:2 edited:1 smoothing:1 degree:5 exchange:1 respectively:3 hitchin:6 residual:1 answers:1 fiberwise:9 d2:1 fix:1 analytiques:1 les:1 tangent:4 pub:1 address:1 narasimhan:1 te1:7 te2:3 te3:6 z0:1 implicit:1 morphisms:2 obtained:11 tian:4 remark:24 generalizing:1 divisor:3 algebra:1 suitably:1 technical:1 my:1 study:2 studied:1 completely:1 douady:5 ignoring:1 schumacher:1 deg:14 sci:1 quotient:6 kindly:1 boundedness:2 petersson:20 via:2 useful:3 projection:6 classification:1 wedge:5 hermite:9 vii:13 dedicated:1 limt:1 ts:1 put:9 annihilator:1 apply:4 should:2 tools:2 kobayashi:6 memoirs:1 donaldson:15 use:8 ht:18 handled:1 would:3 prove:17 remains:1 positive:40 h0:10 mst:24 bundles:70 negative:4 sµ:2 injectivity:3 few:1 approach:3 call:2 therefore:25 associated:20 quotients:3 type:6 theoretical:1 more:1 flat:4 formally:1 operators:2 under:1 curvature:4 pierced:2 tested:1 appendix:4 everywhere:1 uniformly:2 particular:5 known:13 projective:19 cases:1 de1:4 tx1:1 must:11 account:4 isomorphism:6 subject:1 recall:4 equation:9 work:3 det:9 measures:1 ε2k:3 desingularization:1 ere:1 sous:1 vs:2 obvious:5 codimension:2 www:3 following:13 endow:1 pl:1 proof:29 f0:7 claim:2 compare:2 weaker:1 hhe:11 give:2 referee:1 endowing:2 suggestions:1 generically:15 monge:1 sphere:1 assumptions:1 numbers:6 degenerate:5 arise:1 de3:1 tao:2 lelong:6 occur:1 r20:6 normalize:1 ti:2 νn:1 end:2 goal:2 siu:2 quot:4 conversely:1 purpose:1 holds:9 kronheimer:1 write:2 maps:1 varies:1 reducible:1 sst:10 answer:2 instead:4 fah:1 subsheaves:2 parameter:8 classify:1 belongs:1 map:24 product:7 proc:1 tien:3 singular:4 may:3 fy:3 singularities:5 filtrable:4 diagram:2 hence:5 tries:1 fc:1 inst:1 compacts:1 date:1 fi:2 horizontal:2 da:4 concerns:1 consisting:5 compactify:2 convolution:1 short:3 natural:12 effective:3 projections:3 chern:8 correspond:2 parameterized:15 st:63 switch:1 filtr:2 so:26 fundamental:3 sl:2 order:2 typical:1 operations:1 restriction:1 hom:6 interpretation:1 ϕk:10 developed:1 over:42 vary:1 satisfied:2 stability:13 benefited:1 through:1 aut0:2 left:3 existence:6 satisfies:4 still:1 itr:3 its:17 before:1 le:1 group:2 latp:2 ext1:1 interesting:5 sheaf:16 solving:6 nontrivial:1 uniformization:1 li:6 forms:8 annales:1 lu:2 ls:1 verbitsky:1 lx:1 criterion:1 secondary:2 sheaves:9 deformation:3 overcome:1 split:3 correspondence:6 non:61 good:1 ya:1 ηk:5 dan:4 dah:29 evolution:2 introduce:2 isomorphic:8 fr:4 mention:1 xd:2 they:2 oxford:1 singularity:1 locus:5 fields:2 easily:6 february:1 finite:9 equality:3 smoothly:1 always:2 identified:2 sibony:1 properness:2 2f:1 inequality:14 l2:8 2a:1 l0:21 each:1 found:1 identifies:1 higher:5 side:1 mean:2 subset:13 el:3 square:4 directly:3 analytique:1 classifying:2 scheme:1 hard:1 idea:3 functor:2 or1:1 espace:1 used:1 ey:5 expect:2 measure:1 our:22 mapping:1 2rc2:1 es:7 ιv:4 category:1 large:1 lt1:6 space:61 since:8 crucial:1 denotes:4 contained:6 exhaustion:1 complexes:1 bott:2 max:7 denoted:1 formula:10 induced:10 suffices:6 occurs:1 math:17 rk:2 exactly:1 fiber:3 theory:15 reformulated:1 ωyn:13 seventh:1 differ:1 free:8 standard:3 admits:5 volg:7 reason:1 base:4 term:3 dx:7 a121:2 ask:2 pullbacks:1 phd:1 homeomorphic:1 dual:1 definition:5 pairs:3 θac:2 definitely:1 fa:3 geometry:8 starts:1 could:1 modules:1 universal:1 hler:1 ahler:36 consequence:2 fatou:1 onto:2 first:15 indebted:2 initial:1 reflexive:3 adjunction:1 bijection:1 third:2 thesis:1 xf:6 number:2 rank:29 dinh:5 fh:46 xx:2 xy:2 another:3 degg:38 degh:2 stated:4 precisely:1 open:48 illustrate:1 given:9 fk:4 similarly:4 introduction:5 obtains:6 ci:1 system:2 relations:1 their:2 ηh:6 constants:1 statement:10 articles:1 dt2:1 variational:2 structures:8 compactes:1 gives:3 holomorphic:55 disks:3 polarization:1 way:10 discussion:1 cˆ:1 continuous:11 proving:3 measurable:1 part:5 too:2 x0:4 believe:3 representing:1 than:1 coefficients:1 finitely:3 relative:6 cϕ:1 unfortunately:1 roles:1 eor:1 jumps:2 see:29 lim:11 lmax:2 classes:4 supposed:1 monomorphism:3 were:1 surprisingly:1 naturally:2 distinguished:1 decompose:1 cuong:3 teleman:22 false:1 matei:3 ann:4 argument:2 generalization:1 endomorphism:1 say:1 tac:21 need:2 element:2 any:15 contents:1 relatively:2 functors:2 lie:1 documents:1 destabilizing:2 convenient:1 self:8 answering:1 mills:6 si:2 converges:6 note:15 instance:10 ideal:3 potential:8 generalized:5 εk:5 do2:1 instanton:1 do1:6 documenta:1 2εk:3 play:2 gauduchon:15 allow:1 trace:2 index:1 projectively:5 decreasing:2 cf:3 metrics:10 algebraic:32 regular:3 connected:7 preparations:1 sfh:1 formulae:1 remarks:3 acknowledgements:1 why:1 sub:1 removal:1 bound:1 ka:2 constructed:1 takes:2 consequences:1 considered:1 into:4 later:1 coincides:2 cours:1 mrs:2 countable:2 uε:11 yang:6 verlag:1 principle:2 subharmonic:1 kx:4 sum:1 fact:1 dou:14 λs:1 probl:1 ones:1 show:2 semicontinuity:1 obel:1 pisa:1 notations:1 spaces:18 gauge:4 solutions:1 functoriality:1 joliot:1 trivial:8 july:1 d0:12 principal:2 pe:4 des:2 finally:1 based:1 knowledge:1 explain:2 topological:6 hg:4 lemma:10 only:16 notes:2 transcendental:1 indeed:5 integrable:1 ex:26 local:12 1we:1 hope:1 continuity:1 do:4 subspaces:4 notation:1 get:15 dependent:1 dg:1 dd:1 de:7 compute:1 manuscripta:1 soon:1 inclusion:2 cannot:9 words:1 dy:4 applying:1 dt:6 ahlerian:21 ds:3 od:1 eme:2 furnishes:1 qs:4 increasing:1 determinants:1 showed:1 curie:1 encounters:1 arxiv:1 2b:1 yield:1 summary:2 underlying:1 qe:2 characteristic:2 london:1 implication:1 fixed:11 wrote:1 kernel:6 moduli:35 set:38 representative:1 computed:1 exists:6 generally:1 frame:1 around:1 up:1 monomorphisms:3 namely:1 result:23 codimensional:1 japan:1 discussions:1 york:1 points:4 surfaces:25 hilbert:1 satisfying:3 learnt:1 vertical:4 hartogs:1 ways:1 vari:1 positivity:1 convex:2 subsequence:1 tend:1 symmetric:1 written:2 difficulties:5 closed:44 example:2 incompatibility:2 invariant:6 geometric:10 conditions:7 meromorphic:2 blow:1 notice:1 terms:7 extend:1 ωgn:2 component:4 complement:8 restricting:3 weak:4 however:2 subbundle:3 vanishing:4 bnx:26 hypothesis:3 here:2 multiplier:1 izvestiya:1 article:4 kes:1 ups:1 topology:9 suggested:5 both:6 essentially:2 marseille:1 universit:1 many:10 taking:6 according:1 called:6 connection:11 inclusions:1 symplectic:2 embedding:8 picard:1 pdf:2 passing:1 ωf:2 whole:1 toro:2 comes:2 kets:2 pluriharmonic:3 cn:2 session:1 point:5 simple:4 seems:2 cohomology:5 harmonic:2 positifs:1 factorize:1 represented:1 anti:1 master:1 boucksom:8 cs:13 openness:7 torsion:2 2ht:1 kernels:2 strong:1 transformations:1 triviality:2 yau:1 come:1 px:17 locally:21 due:2 been:7 strategy:2 int:1 reduction:3 much:1 treat:1 interest:1 nadel:2 cetraro:1 empty:13 choose:6 concentrated:1 determinant:4 describe:2 families:31 tors:1 restrictions:1 sufficient:2 subspace:8 connections:2 coherent:2 andrei:15 curves:7 univ:4 derivative:2 constructing:1 c2:3 c1:3 denote:13 manifolds:5 case:31 guarantees:1 splits:2 subsets:4 invariants:2 might:6 harder:1 value:3 will:26 fubini:1 near:2 ar:1 suppose:18 compactness:4 applies:2 au:1 properly:1 property:11 conformal:2 inspired:1 inherits:1 noether:3 iz:3 k3:1 played:1 almost:13 endowed:4 metric:51 grauert:2 instantons:3 surface:19 flatness:4 itself:1 im:3 cone:4 counterexamples:1 fibration:2 maximal:1 limit:1 vanish:2 currents:10 comments:1 compactified:1 gieseker:5 different:2 italy:1 author:4 generic:1 suggest:1 make:3 same:6 filtrations:1 ancona:1 complex:53 arguments:2 contain:1 modification:1 proved:4 several:3 evidence:2 difficult:4 independent:2 extended:2 http:3 assigns:3 jussieu:2 bu:2 conceived:1 hand:7 subvariety:1 v1:2 intersects:2 uses:3 maruyama:1 dk:2 potentials:4 infinite:2 identity:2 recent:3 weakly:3 simpson:1 proceed:1 framework:8 adapted:1 variety:2 well:8 analysis:1 obviously:5 calibrated:1 solve:1 components:7 sets:3 addition:1 ujf:1 picc:2 dimension:4 usual:1 spherical:1 world:1 mapped:1 manifold:44 just:5 able:1 λy:8 λx:2 obtain:5 valuable:1 misha:1 volf:1 identify:3 questions:3 amp:1 yes:1 applications:2 ucker:1 letting:2 adding:1 now:16 preprint:2 family:35 lebesgue:1 infinitely:2 decomposes:3 regarded:1 had:1 except:1 add:2 valid:1 extends:12 easy:3 theorem:49 save:1 take:1 real:2 subsheaf:5 fibers:5 depends:2 isomorphisms:3 morphic:1 showing:1 possible:1 admitting:1 volh:2 pluripolar:1 possibly:3 know:2 background:3 insert:1 press:2 using:24 ams:2 intersection:12 moreover:6 coincide:1 dimensional:12 necessary:8 semi:2 limk:3 follows:12 reduces:1 holomorphically:2 html:2 yields:1 either:4 arbitrary:9 multiplicative:2 become:1 pointwise:2 reduced:4 towards:1 reaches:1 because:13 methods:3 classical:7 sequence:6 absolutely:2 begin:1 pacific:1 espaces:1 ah:23 polynomial:2 cdim:1 equivalent:8 b1:5 b2:14 respect:14 proper:5 qex:2 proofs:1 zariski:20 dessus:1 happens:2 vol:5 total:2 dense:2 dimensions:2 operation:1 sufficiently:3 nonempty:1 eiθ:2 avoid:2 hodge:2 id0:2 prop:1 does:5 decomposition:3 provides:1 tends:1 ddc:24 tor1:1 imply:1 tk:27 qx:5 differential:1 object:1 ebastien:3 plurisubharmonic:9 compactifications:1 bn:21 l1:4 bh:4 silva:1 rue:1 cλ:1 restrictive:1 step:5 weil:20 although:1 cime:1 tautological:3 properties:11 injective:1 pw:9 monomials:1 scuola:1 about:3 extension:9 most:2 theorems:7 ids:1 o:6 union:2 ev:1 extensions:3 oz:7 oy:1 ox:2 uhlenbeck:9 toma:5 os:4 de2:8 automatically:2 morphism:11 duke:1 soc:3 contains:3 statements:1 variations:1 pw0:10 presence:1 image:7 boundaries:1 integral:3 functional:8 latter:1 pair:6 hermitian:34 right:1 references:2 raises:1 yx:3 einstein:22 elementary:1 proportional:2 france:1 theoretically:1 institut:2 deal:1 infinitesimal:3 buchdahl:3 assumed:1 strictly:3 there:12 question:1 class:23 strict:2 bianchi:1 neighborhoods:1 epimorphisms:1 series:1 polystable:5 was:5 popovici:4 regularization:3 m0:3 function:19 hx:4 2the:1 complete:1 form:30 regard:1 jun:3 but:17 back:2 volume:4 cedex:1 construction:1 grassmannian:3 ec:4 relate:1 line:21 approximation:1 true:2 divisors:2 pull:1 uy:2 surprising:1 embedded:2 whether:3 compactification:20 smooth:11 maximum:4 us:1 pour:1 below:3 un:1 represents:2 submanifolds:1 suitable:2 ussr:1 b0:1 problem:7 define:5 similar:2 agree:1 ωg:5 examples:1 mails:1 ac:7 constant:18 ad:6 factor:1 θk:9 defined:26 certain:4 abstract:1 pic:30 am:1 direction:2 general:20 dirac:1 proves:3 exist:4 dθ:2 journal:1 corresponding:10 inf:3 check:1 defines:6 again:2 functions:3 compared:1 completeness:1 differentiable:3 no:13 na:2 whereas:3 when:29 vanishes:5 virtual:2 ny:2 disjoint:1 other:6 role:5 details:2 mathematics:1 concerning:5 conclusion:1 conjectures:2 completes:2 lt2:2 homologically:1 problems:9 bundle:65 a1:1 a0:2 important:9 bounded:8 variable:1 provence:1 gets:3 structure:13 implies:7 longer:1 values:2 semistability:3 curve:3 pseudo:1 original:1 lp2:1 semistable:12 ψt:4 mass:2 µg:2 serious:1 remarkable:1 tyurin:3 requires:3 having:2 extensibility:5 covariant:1
0704.2630.txt |@word limited:1 positions:1 andre:1 consider:3 global:2 alternatives:1 results:2 existing:2 illustrated:2 disfavor:2 entropy:1 computation:2 edu:2 follow:1 reasoning:6 issues:1 gr:3 compact:2 copernicus:1 certainly:1 depend:1 calculate:3 irrelevant:5 concerned:1 tn:1 finally:1 ucsb:2 present:1 th:11 ti:25 include:6 presentation:1 division:2 lack:1 presently:1 very:3 give:1 helpful:1 choice:8 puzzles:1 every:8 summarized:1 affect:1 bubbles:1 manageable:1 exact:2 debates:1 timely:1 leads:2 immediately:2 level:1 did:2 cause:1 cmb:4 t1:1 hartle:4 discrete:2 hague:1 math:1 small:5 biological:1 nucleated:2 shows:2 barbara:2 enforce:1 dis:1 jhep:1 says:1 disordered:1 foundation:1 prediction:1 ph:3 aip:2 elegant:1 second:1 proposal:1 concludes:1 further:4 dynamics:3 goes:2 blue:10 what:17 rate:1 cycle:17 sun:2 section:1 selected:7 paradox:1 expressed:1 consequent:1 current:1 extraterrestrial:2 experiment:5 above:5 boundary:1 new:4 ever:1 acknowledgments:1 contrast:1 supporting:2 hsi:4 sinks:1 eternal:1 never:1 here:3 understanding:1 water:2 objects:3 decay:1 address:2 observing:16 extreme:3 obtained:4 suitably:1 freivogel:1 larger:2 reason:1 contradiction:1 later:1 prior:6 uu:1 resulting:1 definitively:1 opinion:1 implement:2 suitable:2 spacetime:4 bayes:3 criticism:2 appropriately:1 via:1 useful:4 although:1 family:1 extrapolations:1 merely:2 vii:1 private:1 highly:1 improbable:1 resolutions:1 total:1 landscape:1 tween:1 use:2 would:14 probabilities:20 contains:1 predictions:5 process:10 live:1 examination:1 therefore:4 taken:3 themselves:1 type:4 theoretical:3 reflects:1 more:11 introducing:1 substances:1 relevant:3 share:2 operators:1 under:2 leonard:1 tested:3 particular:5 known:5 cases:3 iv:1 iii:1 must:10 high:3 account:2 defines:1 anything:1 science:2 challenge:1 work:1 theories:46 reviews:1 worlds:1 anywhere:1 values:2 evolved:1 following:1 making:2 trans:1 example:12 history:2 beautiful:1 want:1 cosmological:4 stated:1 predict:8 neglected:2 pieces:1 involve:1 assumptions:8 something:1 typicality:25 arise:2 sought:1 dress:1 species:1 absolute:1 information:7 occurs:1 end:1 varied:1 decaying:1 eng:1 rather:2 conversely:1 discussion:3 enlarge:1 occur:1 how:5 surely:1 reject:2 instead:2 ordinary:1 intelligent:6 inputs:1 fr:5 express:1 description:6 beauty:1 bousso:1 inflationary:7 earlier:2 different:9 wrong:1 produce:2 invasion:1 data:58 types:1 man:1 criticize:1 natural:1 third:1 conscious:1 whenever:1 sr:10 explicit:2 summing:2 cosmology:14 hypotheses:3 inhabitants:3 ones:1 so:9 fundamental:4 banks:2 years:1 order:1 typical:17 exclusive:1 serving:1 numbers:2 indeed:2 over:5 competing:2 vary:1 argues:1 course:2 thermal:2 paper:5 through:4 experimentally:1 argued:1 existence:2 jaynes:1 its:5 before:2 observational:2 difference:2 negation:1 located:2 chosen:2 actually:1 better:1 absence:2 complex:1 choose:2 ours:4 main:1 might:11 dyson:1 emphasize:1 them:6 return:2 greater:1 questions:2 practice:4 noticing:1 prejudices:2 framework:3 unsupported:1 they:7 thus:3 now:2 discuss:1 represents:1 alex:1 james:1 university:1 didn:1 beings:5 infer:1 possibilities:1 sufficiently:1 nl:1 each:8 inherent:1 likelihoods:12 out:1 mean:1 constructing:2 status:1 domain:3 another:3 simplicity:4 doing:2 energy:1 hard:1 idea:1 related:2 fraction:2 expect:1 measure:5 quantum:13 our:39 happen:1 beyond:3 eq:1 presupposes:1 brans:1 really:1 conjectures:1 large:6 ultimately:2 matrix:4 space:3 furthermore:1 since:5 rev:4 chaos:1 may:10 fountain:1 formula:1 issue:1 correct:7 red:26 predicted:2 inevitably:1 after:2 theory:49 interactions:1 favored:1 commits:1 galaxies:2 given:5 standard:3 fluctuated:4 approaches:2 california:1 proxy:1 members:1 estimate:1 likelihood:10 definition:2 cycles:14 bellido:1 language:2 argument:2 starts:1 could:13 similarly:1 cosmic:1 round:1 thing:1 prejudice:2 tempting:1 hence:1 neglect:1 first:2 intuition:1 there:35 probability:31 variables:1 number:26 fancy:1 enlarged:1 plants:1 directly:2 carry:2 reached:1 precisely:1 electronic:2 illustrate:2 timothy:1 guess:1 necessarily:3 checked:3 temperature:4 likely:3 srednicki:3 introduction:2 unknown:2 system:18 least:8 indicate:1 assumption:13 too:2 calculations:3 tom:1 white:1 perfectly:2 final:1 observations:4 assign:1 hypothetical:1 mostly:1 brains:7 continuous:1 immediate:1 forward:1 binned:1 part:2 gyr:1 authors:1 representing:1 than:7 updating:1 begins:1 relative:1 kind:4 liquid:1 sections:1 imply:2 discriminating:1 matter:3 classes:1 contrary:1 risks:1 were:6 posit:1 susskind:3 solely:1 minus:1 enforced:1 mind:1 locations:1 randomly:6 already:2 say:1 unlikely:2 vilenkin:3 disturbing:1 need:3 allen:1 seem:1 st:2 seek:2 their:11 elsewhere:2 lie:1 zero:1 unifying:1 transcription:1 agency:2 able:2 ideas:1 note:1 instance:2 supply:1 neither:1 equaling:1 linde:4 even:6 exactly:3 unless:2 allow:1 though:4 measures:4 systems:5 most:3 boltzmann:3 involving:1 importantly:1 nothing:3 baryons:1 grateful:1 america:1 class:7 idealized:2 kg:2 especially:2 surprising:1 considered:2 calculated:3 atypical:1 implications:3 heat:1 possesses:1 astro:1 economical:1 ridiculous:1 principle:7 tributions:1 usual:1 physics:5 specification:2 fact:1 atmosphere:1 selection:11 pope:1 random:3 contemporary:2 discovered:1 calculable:2 carefully:1 earth:8 d5:1 multiverse:5 find:1 pe:11 based:2 knowledge:1 parameters:3 situations:3 outside:2 supported:1 should:17 being:4 only:6 bases:1 candidates:1 anthropic:3 ambiguity:1 factor:4 constant:2 he:3 huygens:4 astronomical:2 equilibrium:5 meant:2 do:7 his:1 establishes:1 distance:1 familiar:1 rock:1 colleagues:1 pocket:2 unimportant:1 cannot:2 despite:1 compute:3 conjunction:1 him:1 areas:2 evolution:1 approach:1 arxiv:20 experience:1 qc:3 common:1 favors:1 london:1 fixed:2 favoring:3 view:2 available:1 set:9 predicts:7 exists:4 edited:2 national:1 testing:3 humans:15 lett:1 plausible:2 mentioned:2 see:8 justification:1 result:4 discussions:5 close:1 limiting:1 paul:1 guided:1 probable:1 currently:1 nucleation:1 favor:10 enough:2 various:1 correctly:1 between:11 drawn:1 justified:1 enlighten:1 conditions:2 quantities:1 europe:1 notice:1 latin:1 terms:2 nature:2 confusion:1 notion:5 carr:1 ignorance:2 however:14 jovian:4 answers:1 key:2 distinguish:1 come:2 both:11 perceptions:1 improved:1 legitimately:1 implementing:1 many:10 region:1 density:4 equal:6 demanded:1 called:1 deduction:2 personal:3 objective:1 dated:1 context:1 logic:2 arbitrarily:4 among:1 noninformative:2 headed:1 simple:6 had:4 ca:1 others:3 gathering:2 whatever:2 analyzed:1 grants:1 simply:3 freak:2 quan:1 conference:1 sensible:1 described:2 basis:3 addition:1 west:1 copies:1 been:10 mark:2 int:1 much:3 coarse:1 interest:1 dangers:1 expected:1 untypical:1 define:3 predicting:2 life:2 hawking:1 received:1 am:1 concerning:1 else:1 observers:22 optics:1 remarks:1 observe:8 bayesian:18 acquiring:1 assigning:3 those:2 case:11 myself:2 talking:1 defining:1 neal:1 empirical:1 value:5 choices:4 will:11 voluminous:1 suppose:2 garcia:1 situation:1 properly:1 property:2 procedure:1 posited:1 computed:2 resolved:1 full:1 chaotic:1 vi:1 engaged:1 non:1 clearly:1 ii:1 conditioning:1 itself:1 cond:2 against:2 absurd:3 containing:3 etc:4 perhaps:1 powers:1 make:7 indistinguishable:2 same:5 any:14 epoch:1 parts:2 quant:2 arguments:1 nanopoulos:1 finite:1 events:1 development:1 independent:4 calculation:2 used:6 infinity:1 somewhere:1 comprehensive:1 upon:1 hand:1 moment:2 necessity:2 infinite:2 frequently:1 expand:1 recent:2 fully:1 nevertheless:1 try:2 possessed:1 no:18 well:4 analysis:9 obviously:2 thought:1 oft:2 priors:21 model:8 chemistry:1 phy05:1 drawing:1 know:8 ny:1 world:1 abilities:1 proposed:1 less:4 increasingly:1 observed:4 obtain:1 rest:3 isolated:1 assigned:3 shape:1 mistakes:1 distant:2 human:18 summed:2 facts:2 alternative:2 yet:1 previous:2 candidate:1 conclusions:13 similarities:1 point:6 seems:2 dicke:1 knew:1 mathematically:1 priori:2 location:3 theorem:3 input:1 mod:1 momentum:1 divided:1 identical:4 insensitive:2 easily:1 evaluate:1 unlimited:1 possible:7 early:1 test:1 preference:4 background:1 vacuum:3 using:7 accurate:2 unique:3 furniture:1 like:6 identifying:1 desitter:1 alternatively:1 performing:1 specific:1 communications:1 yields:3 either:2 follows:3 output:1 page:9 terminology:1 accessible:1 www:1 because:9 classical:1 distinguished:1 foreseeable:1 physicists:1 some:18 draw:1 alive:1 certain:2 repeat:1 jupiter:3 examples:2 choosing:3 springs:1 multiple:1 neglecting:1 separately:1 leaf:1 lead:4 avoid:2 separate:1 microwave:1 kleban:1 does:6 provides:2 assuming:2 demonstrated:2 measuring:1 biology:1 object:1 scientific:5 power:2 performed:2 equivalent:2 system1:1 notably:1 santa:2 appleby:1 refers:1 properties:4 about:7 actual:2 collectivity:2 origins:1 simplify:1 universe:24 certainty:1 discussed:4 mutually:1 melville:1 insufficient:1 fallacy:5 subsystem:1 mechanics:3 cambridge:2 into:2 within:2 three:1 multiply:2 appropriate:2 ecology:1 determine:1 elementary:1 proportional:2 exchanges:1 mere:1 theoretically:1 utility:1 hep:11 additional:2 assumed:5 initial:4 question:1 specifically:1 low:1 way:2 notices:1 call:1 conceivable:1 analyze:1 was:5 assumes:1 naturally:2 complete:7 form:3 smolin:1 basic:1 but:12 somehow:1 subjective:3 posterior:6 state:3 explanatory:1 solar:4 don:1 true:1 utilizing:1 observation:3 count:1 made:9 applying:1 mat:2 places:1 whether:1 wish:2 gravitational:1 up:2 us:10 planet:1 record:1 below:1 productions:1 limit:1 today:4 spectroscopy:1 confusingly:1 fluctuations:2 distribution:3 piece:1 similar:1 clear:1 strongly:2 sometimes:2 guesses:1 relevent:1 defined:1 recognize:1 influence:2 accessibility:1 evidence:5 single:3 ar:7 exist:6 planets:5 physical:11 incorrect:3 hart:1 discriminate:9 entirely:1 scrutinized:1 trials:1 nb:11 entity:1 when:8 proceedings:1 invalid:1 tis:1 successful:2 other:14 role:2 details:1 becomes:5 department:1 nr:18 nay:1 sufficient:1 conclusion:3 conclude:1 briefly:1 elements:1 kinds:1 calculating:1 living:1 models:6 astounding:1 shown:2 includes:4 deriving:1 meaning:2 important:9 included:2 clarifying:1 celestial:1 convenient:1 billion:1 happening:1 practically:1 assume:5 thermalization:1 factors:1 together:1 graining:1 logical:2 implied:1 mass:1 time:5 far:2 observables:1 requires:1 having:1
0704.2631.txt |@word concept:1 homomorphism:52 consider:3 springer:2 incorporate:1 alg:8 both:1 desirable:1 results:2 reformulating:1 ease:1 mild:3 proposition:31 grateful:1 transversally:1 go:2 follow:1 disintegration:6 restrictions:2 compact:25 γz:2 isometric:5 compose:1 analytic:1 tx:5 paris:4 show:31 acting:2 company:2 quasi:3 those:1 th:6 under:9 γc:3 decomposition:1 analogous:1 circumstances:1 norm:9 p2:2 conjecture:7 supported:1 abelian:1 g0:5 very:12 blanchard:2 rc:28 misunderstanding:1 induce:2 choice:2 unitaries:1 corollary:7 every:16 invent:2 lecture:3 exact:13 condition:15 arrange:1 subsets:3 level:3 evaluation:1 notes:4 scalar:1 t0:5 leave:1 involution:4 convenience:1 commute:3 annihilates:1 said:1 anal:4 dν:3 zm:2 abbreviated:1 smaller:1 neighborhood:8 semicontinuous:6 periodicity:3 haar:2 mail:1 direct:2 consists:2 second:4 normed:1 value:1 further:10 canonical:19 even:1 index:4 what:5 plays:1 appear:2 equivariance:1 giving:4 section:14 brief:1 uniform:2 version:6 sur:1 establishes:3 sup:1 crossed:5 net:1 gh:3 espaces:1 method:3 satisfy:2 simultaneously:1 whose:2 mem:2 respectively:2 groupo:5 modify:1 equals:1 here:3 murphy:1 inverse:3 groups:9 others:1 along:3 enveloping:1 z0:6 implicit:1 morphisms:11 sending:1 great:1 disintegrates:1 technical:3 involved:1 popescu:4 homeomorphism:6 example:7 ab0:1 suggests:1 sfb:1 survey:1 guentner:3 rf:12 action:59 makes:2 sci:3 quotient:1 uniquely:1 formulated:1 useful:2 projection:2 classification:1 f1:33 apr:1 requiring:1 vii:1 diagonalizable:1 modifying:1 equivariant:19 pulls:1 des:1 univ:1 unit:4 readily:1 use:9 asymptotic:13 working:2 prove:6 covariant:13 ψs:1 stated:1 bundles:7 uniqueness:11 next:20 vol:6 going:1 call:1 paterson:13 taken:2 indiana:1 gauthier:1 decomposable:4 more:2 abusing:1 equivalence:2 preserving:2 kˆ:7 raeburn:1 hoffman:2 equipped:1 constructs:1 yahoo:1 tf:6 everywhere:2 particular:8 known:1 cases:3 iii:1 must:2 account:1 isomorphism:23 defines:3 recall:7 der:2 work:4 pour:2 ibx:1 ρs:3 ρr:2 obvious:7 publications:1 ms:1 mr:1 following:9 ρx:1 modifies:1 mx:2 address:1 proof:24 f0:1 meant:2 f2:29 weaker:1 want:1 give:7 calculation:1 sense:5 recover:1 purposes:1 produits:1 involve:1 effectively:3 oa:1 degenerate:5 arise:6 exclude:1 conversely:2 verlag:2 information:1 respective:1 ib:13 end:2 conull:1 rather:5 discussion:2 holds:4 american:2 write:4 maps:8 fourth:1 es:1 place:6 ordinary:6 memoir:1 map:53 product:15 fs:18 description:2 fv:11 algebra:101 fx:8 max:14 earlier:3 derived:1 φr:5 diagram:1 applications:2 cbms:1 dokl:1 ff:1 fg:1 date:1 representations:7 derives:1 setting:2 parallel:1 fn:3 short:6 natural:22 dynamical:1 third:3 whenever:5 onto:18 lines:1 descends:2 element:3 so:73 specifying:1 fundamental:1 decreasing:1 definitions:1 op:1 sw:2 talk:1 restriction:4 bull:1 fγ:2 developed:4 over:6 mx2:1 satisfied:4 mx1:1 course:6 paper:2 through:1 thesis:1 banach:4 existence:3 satisfies:1 still:1 its:3 before:1 le:4 group:24 probability:1 how:4 chosen:1 interesting:1 fix:1 coordinates:1 writing:1 forms:1 connes:7 choose:3 morphismes:1 main:2 defining:2 image:2 maximal:2 closure:1 non:10 usa:1 practice:4 operator:13 primary:1 fr:1 mention:1 they:3 instead:3 oxford:1 kkg:1 now:34 discuss:3 yw:1 easily:4 inversion:1 equality:4 homomorphisms:9 profound:1 characterizes:1 university:2 identified:2 sin:5 inequality:3 l2:7 reasonable:2 each:35 morita:1 identifies:1 freeness:1 side:2 mean:2 subset:9 en:8 formulate:1 series:1 reduce:1 idea:1 functor:31 elementary:1 literature:2 gfn:6 ex:1 measure:2 funct:4 our:5 tu:4 πs:2 special:2 after:2 category:7 try:1 rv:2 rw:30 rr:14 space:20 restricted:2 integrates:1 since:34 rx:53 ry:5 research:1 replacing:1 contained:1 groupoids:33 com:1 reader:4 denoted:6 formula:1 get:12 induced:2 issue:1 integrated:4 math:10 shows:7 exactly:1 fiber:3 theory:33 disintegrated:1 associate:1 inessential:1 gf1:1 diagonal:1 quite:1 difficulty:3 completely:3 base:4 york:6 disintegrating:1 put:1 subalgebras:1 monographs:1 e0:3 definition:10 unique:2 r0:2 geometry:2 phrases:1 could:1 similarly:1 turn:1 int:1 iso:7 signature:1 associates:1 support:7 dλx:1 first:12 separable:1 inductively:1 xn:3 symmetry:1 upper:9 bijection:1 number:3 geometrische:1 approximate:5 restrict:1 multiplication:6 multiplying:2 s0:3 least:3 another:3 fi:5 precisely:2 open:19 xw:2 xt:1 given:32 necessarily:1 checked:4 msri:1 needed:2 introduction:1 system:3 inv:3 πr:5 their:3 assumption:1 too:1 πu:5 πx:13 john:1 williams:3 gives:10 continuous:58 park:1 alan:11 measurable:1 part:5 dixmier:2 x2:1 translation:1 x1:1 than:5 specify:1 wide:3 esentation:1 determines:7 unfortunately:2 showed:1 accordance:1 sections:4 require:3 dans:1 zero:3 claim:1 w2n:4 determined:7 αgh:1 mackey:1 wiley:1 treated:1 w2:17 motivation:2 vector:1 contradict:1 explicit:1 argument:3 clif:1 say:9 close:1 need:7 seem:1 null:1 any:4 viewed:1 relatively:2 functors:1 lie:4 ax0:2 constructions:2 describe:1 lim:8 latter:4 able:1 ideas:1 note:12 phillips:4 ideal:4 take:12 strukturen:1 finding:1 new:6 lγ:14 converse:3 advances:2 established:3 who:1 chart:5 birkh:1 most:4 involving:2 representation:28 pair:9 measured:2 class:5 cc:46 kg:2 neighborhoods:1 kk:3 later:4 cover:2 drive:1 countable:1 regards:1 harlan:1 deuxi:1 left:6 er:2 specification:1 fact:4 unster:1 precise:1 saying:2 gf:4 dupr:3 semicontinuity:3 groupoid:31 topologies:1 zδ:8 spaces:2 relation:1 trivial:3 find:5 nonequivariant:1 situations:1 writes:1 topological:4 should:2 lemma:4 only:8 unable:1 lemme:1 inherited:1 adequate:1 regional:1 local:15 hopf:1 continuity:18 do:5 above:13 notation:3 means:7 dependent:1 de:9 repr:1 trees:1 cannot:1 rest:1 words:1 invariant:6 holland:2 eme:2 regarding:1 transversal:1 covering:15 conditions:2 arxiv:1 sum:1 rw1:5 contain:1 homeomorphic:1 fixed:4 discussing:1 aen:1 elliptic:1 dν0:2 set:11 exists:19 supt:2 respect:1 module:1 maximum:1 relative:4 edition:2 see:11 result:7 w1:14 terms:5 dµ:4 theoretic:15 subject:1 hilbert:5 αr:1 westf:1 tensor:8 nondegenerate:1 αx:1 review:1 transversals:1 eorie:6 outside:1 classes:1 cambridge:2 closed:7 between:1 αh:1 approach:2 checks:1 available:5 adv:1 jx:1 extend:1 importance:1 were:1 weak:1 however:10 jr:2 js:1 vanishing:1 villars:1 hilbertien:1 key:1 multiplier:1 jg:1 come:1 ker:2 topology:11 adapting:1 limits:1 last:11 reverse:1 renault:10 always:3 many:3 0x:1 la:3 homotopy:1 april:1 admit:1 les:3 context:2 expression:1 bott:3 comes:1 otherwise:4 ch:1 abbreviate:1 point:1 simple:11 cb:106 inc:3 cf:6 insist:1 2nd:1 dimensional:3 ab:16 cs:1 proved:5 actually:2 blackadar:1 society:2 conference:1 pp:4 strong:4 commutative:1 gillette:3 aˆ:3 addition:1 associativity:1 locally:18 induces:1 due:1 been:1 whom:1 much:1 goes:1 boston:1 algebras:58 exactness:5 define:13 surjective:3 direction:2 arises:2 corresponding:7 eformations:2 commutes:5 baum:4 covariance:1 ebres:2 neumann:1 noncommutative:2 fy:2 c0:215 present:3 case:31 replaces:1 twisted:1 unlike:1 contexts:1 discrete:5 remaining:1 will:17 euclidean:2 while:2 ar:2 suppose:24 sw1:1 situation:5 properly:1 property:4 feuilletages:2 taking:1 iy:2 ix:15 cont:4 almost:2 von:1 erateurs:1 ii:3 gall:4 vr:1 amer:2 varela:1 supremum:1 vanish:3 inf:3 containing:4 φs:2 develop:1 descent:33 fibers:1 φx:2 identities:1 make:3 same:6 unity:2 equivariante:4 largest:1 modification:1 products:3 finite:2 subalgebra:16 composition:1 higher:1 independent:2 used:4 infinity:3 trivially:4 αg:4 i0:5 hand:3 usually:2 uses:3 auser:1 infinite:5 invariance:1 identity:10 recent:1 surveys:1 supports:1 center:1 studies:2 well:3 roughly:2 inherit:1 obviously:1 norms:2 academic:2 sets:19 coordinate:1 ccg:13 soviet:1 usual:5 isometry:2 λr:1 gelfand:2 just:12 being:2 composing:1 λx:1 obtain:14 actions:13 intervals:1 identify:8 virtual:1 progress:1 yet:1 convolution:1 homeomorphisms:1 rs:23 submodule:1 preprint:1 family:5 instance:1 regarded:3 erie:1 sometimes:1 source:2 belongs:8 extends:2 easy:4 theorem:39 reason:1 semigroup:1 pitman:2 transformation:2 gave:1 definitive:1 depends:1 isomorphisms:8 rules:1 big:2 regard:1 gfm:3 admitting:1 usefully:1 five:1 know:2 press:3 using:28 replace:4 like:1 modifications:2 imposed:1 helpful:2 semi:1 follows:22 bijections:1 units:1 automorphisms:1 true:1 doctoral:1 alternatively:3 pointwise:1 reduced:1 terminology:1 mathematical:3 sketch:1 because:1 often:1 classical:1 sequence:9 some:14 back:1 kasparov:9 elements:5 acad:3 b1:7 b2:8 cr:5 proper:2 nilsen:3 provided:2 dense:5 trace:1 avoid:1 isometrically:1 comments:1 providence:2 does:7 exposition:1 trout:8 semigroups:1 knew:1 assembly:2 equivalent:5 arbitrary:1 bi:4 interval:5 bt:10 bu:1 br:3 bs:7 coset:1 bx:42 properties:1 injective:5 takes:1 chapter:1 would:2 extension:1 algebraic:8 novikov:3 triviality:1 develops:1 higson:9 recalling:1 range:4 regular:1 ensure:1 dλr:1 act:2 slightly:1 other:1 morphism:8 converging:1 soc:3 contains:2 publishing:3 subbundle:2 into:18 integral:1 isomorphic:1 down:1 appropriate:1 right:2 references:1 ηr:4 balanced:3 amsterdam:1 france:1 closing:1 ηy:2 ηx:5 mississippi:1 deal:1 removing:1 suffice:1 there:41 question:1 transform:1 start:1 restricts:4 borel:4 way:15 w1n:4 was:4 indeed:7 ψr:2 function:8 hx:6 hy:7 north:2 complete:2 form:11 hs:4 differences:1 triangular:1 but:9 evt:7 construction:1 related:2 convergence:2 don:1 algebraically:1 hf:12 he:1 supx:1 made:1 uy:1 versions:1 supp:35 wish:2 inside:1 smooth:1 up:2 iβi:1 below:4 limit:2 echterhoff:1 contraction:1 problem:1 stages:1 similar:3 called:3 muhly:2 obtains:1 detailed:1 ac:1 partition:2 associated:3 cbg:1 af:4 defined:8 abstract:1 sketched:1 am:1 general:7 aq:4 single:1 proves:2 exist:3 ax:29 cbx:5 ing:1 commuting:2 check:4 constructed:1 functions:6 proofs:1 completeness:1 no:5 fell:1 mathematik:1 when:11 vanishes:1 ıdes:5 multipliers:2 nx:5 book:1 role:1 details:2 papers:1 mathematics:8 theor:1 operators:2 nice:1 briefly:1 functorial:5 denote:1 hyperboliques:1 preceding:1 ξs:1 uniformly:4 representable:1 bundle:23 leaving:1 hausdorff:5 generated:1 important:2 bounded:7 massachusetts:1 au:2 intuitively:1 mathematischen:1 structure:1 ramsay:4 kx:1 asymptotiques:1 assume:1 required:3 modules:1 egration:1 together:1 notion:1 look:4 requires:3 original:1
0704.2632.txt |@word neighbors:16 caused:1 dynamic:5 four:5 sergey:1 entropy:1 depend:1 truskett:1 schwegler:1 environment:1 finally:1 tmd:2 cm3:5 indicating:2 kumar:1 very:1 difference:2 leads:1 t2:11 t3:7 t1:10 large:3 small:3 configurations:1 findings:2 direct:1 second:38 street:1 displays:1 berendsen:2 dynamics:2 chem:7 tip5p:13 new:2 increasing:3 contrast:1 simultaneously:1 respectively:1 modify:1 water:41 address:1 strong:1 change:6 box:2 dividing:1 shift:4 study:4 larger:1 allows:1 periodic:1 usually:2 studies:3 via:1 useful:2 apr:1 highly:1 scaled:1 decrease:12 anomalies:9 translational:13 total:1 angell:2 usa:3 prove:1 remains:1 next:6 therefore:1 lowering:1 becomes:2 apparent:1 normalized:1 particular:1 known:1 iii:3 must:1 states:1 rotational:1 ma:1 integrating:1 sastry:1 work:1 obvious:1 temperatures:1 example:1 control:1 nearest:11 yeshiva:1 figure:5 loci:2 qmax:2 high:5 minimum:1 performed:1 isothermal:1 spc:2 distinguishable:1 occur:3 hydrogen:3 s1:3 six:1 arrangement:1 regions:8 how:2 errington:1 parameter:6 orientational:20 map:7 mat:1 may:2 thermodynamic:6 diagram:2 hence:1 produce:1 law:1 ambiguous:1 preferential:1 liquid:3 s2:3 light:1 separations:1 correspond:2 so:3 correlation:2 sc:3 representation:1 order:41 gradual:1 over:4 move:1 mainly:3 experiments:1 motions:1 its:9 tendency:1 perfect:1 chemical:1 jagla:1 located:1 vicinity:1 decreases:2 forms:1 offers:1 choose:1 main:3 pcf:6 eugene:1 they:2 half:1 locus:1 structural:12 february:1 oxygen:2 characterizes:2 university:3 arrows:1 240k:3 filling:1 each:6 found:1 characterized:1 bond:5 bifurcation:2 significantly:2 energy:2 hard:2 idea:1 related:5 saitta:1 our:4 beyond:1 shown:5 network:2 space:1 quantify:2 since:1 rev:15 increase:5 suggesting:1 ref:3 occurs:4 shows:10 interactions:2 structurally:1 base:1 york:1 definition:4 pairs:1 interaction:1 r1:11 r2:16 transferable:1 collapsing:2 silicon:2 turn:1 plane:3 signature:1 barriers:2 onto:3 torquato:1 first:41 histograms:1 number:7 relations:1 ℓm:2 pablo:1 intermolecular:1 size:1 given:2 temperature:3 indicate:1 behaves:1 system:4 approximately:2 their:2 cooling:1 molecular:3 structures:2 shell:61 collapse:1 relationship:1 than:1 diffusion:3 distance:5 princeton:2 double:1 see:8 individual:1 toward:2 decompose:1 enclosed:2 exhibit:2 boston:2 dynamically:1 defect:2 curves:1 20g:4 hexagonal:1 border:1 orders:4 paths:1 angle:1 depending:1 note:1 oliveira:1 ideal:1 potential:2 online:2 towards:2 normal:1 measures:2 molecule:15 systems:1 most:3 fcc:3 steinhardt:1 phase:4 average:5 adopt:3 points:2 physics:2 slope:2 spherical:1 show:7 relation:1 find:2 fifth:6 based:3 parameters:8 q6:11 enough:1 thermodynamically:1 only:6 molecules:11 local:6 dm:2 bonds:2 dependent:2 de:1 quantified:2 soper:1 isotherms:2 closely:2 portions:1 quantifies:5 dr:1 ds:1 covering:2 arxiv:1 qi:8 4πn:1 fixed:4 us:1 reveals:1 ricci:1 observed:1 depends:2 computer:1 result:1 close:1 uncorrelated:2 concern:1 interacting:2 symmetric:1 state:2 between:10 boundary:1 conditions:1 across:1 nature:3 weak:1 reproduces:1 extent:2 carbon:2 both:10 cos:1 region:8 barely:2 according:1 phosphorous:2 dated:1 contribution:2 disappears:1 jersey:1 minima:5 unclear:1 cm:15 simple:2 corresponds:1 moreover:1 considering:1 addition:1 west:1 due:7 been:1 much:2 logarithmic:1 azimuthal:1 anomaly:13 fig:24 obtained:1 direction:1 corresponding:4 formed:1 gas:1 maps:2 angles:1 case:2 value:3 will:1 while:2 behavior:4 investigating:1 tmax:2 polymer:1 detailed:1 orientation:1 almost:1 refs:1 thus:3 site:1 heating:1 ii:2 cond:1 increased:1 different:9 perform:2 shifts:1 largest:1 dimensionless:1 several:1 evolve:1 used:2 jorgensen:1 cubic:1 upon:15 effect:2 liquids:4 purpose:1 potentials:1 recent:1 center:2 changes:13 well:1 roughly:2 obviously:1 materials:1 quantitative:2 model:5 maxima:4 bending:1 distances:1 less:2 questions:1 spherically:1 rn1:1 nicolas:1 interstitial:3 density:24 lattice:1 diffusivity:2 extends:1 lett:8 accomodate:1 nvt:1 around:3 showing:1 harmonic:1 increases:4 five:2 makes:2 using:6 color:2 necessary:1 like:1 qualitative:1 always:1 become:1 soft:1 twelve:5 because:4 nm3:1 scale:1 confirm:1 broad:2 fluids:1 ice:2 connecting:1 minimal:1 core:2 tmin:2 bold:1 power:1 radial:1 pressure:7 although:1 sciortino:1 properties:2 panel:1 oo:1 comparison:1 central:10 impenetrable:2 anomalous:13 dependence:2 o:8 simulation:4 range:2 neighbor:8 mahoney:1 mean:1 thermostat:1 into:2 within:2 three:8 pair:1 heated:1 tetrahedral:7 often:1 compression:14 featureless:1 shells:9 there:2 yan:1 low:4 way:1 slopes:1 function:3 botti:1 denoting:1 but:4 volume:1 line:3 pradeep:1 compute:5 characteristic:1 inside:3 maximum:2 quantitatively:2 crystal:2 distribution:2 define:4 similar:4 called:1 regimes:2 strongly:1 debenedetti:1 constant:2 defined:12 abstract:1 contribute:1 engineering:1 simulations:2 crystals:1 regime:1 compared:1 nm:15 no:1 when:1 ny:1 other:3 department:3 polar:1 hcp:3 bonding:1 important:1 peak:5 variable:1 structure:2 correlated:4 implies:1 practically:1 curve:1 bcc:3 equivalently:1 resembles:1 n1:2 silica:3 having:1
0704.2633.txt |@word represent:1 sci:1 consider:9 chain:2 similarity:1 rev:3 keep:1 results:4 adjective:1 known:3 computation:2 consists:1 sch:10 whose:2 hold:3 remarkable:1 everything:1 soshnikov:1 finally:2 critical:1 contours:13 ti:3 stochastic:2 analogous:4 zeilberger:3 case:7 conjecture:1 supported:1 straightforward:1 very:4 account:1 wave:1 dξm:2 corollary:1 putting:1 entries:5 difference:1 matrices:2 condition:11 exponential:5 immediately:2 hamiltonian:2 positions:4 applicable:1 integrated:3 large:22 convenience:2 interchanging:2 science:1 small:16 markov:2 rk:1 lines:1 still:2 zn:12 smaller:1 zi:7 zk:2 consistent:1 sign:1 second:14 pass:1 dynamics:1 linear:1 residue:10 established:4 what:7 appear:6 giving:1 section:8 interactions:1 current:2 andr:1 version:1 poles:21 sur:1 above:8 droz:1 new:6 contributes:1 equivalent:2 that2:1 coefficient:6 full:1 led:1 degree:4 even:1 modify:1 equals:32 here:5 understanding:1 desired:2 replacements:1 ansatz:9 others:2 path:1 along:1 xα:3 appears:9 change:4 referring:1 obtained:3 remark:4 antisymmetric:2 allows:2 akos:4 leaving:1 periodic:1 resulting:6 szeg:1 permutation:5 complicated:1 specialize:1 changes:2 der:1 involves:2 schur:1 chains:1 useful:1 divide:1 efinies:1 heart:1 apr:2 vii:1 rkx:2 diagonalizable:1 replace:6 vir:1 put:1 iz:2 feller:1 sgn:17 summation:1 apply:9 ahofer:1 should:1 establish:1 unit:2 voter:1 use:13 feb:1 usa:2 prove:4 remains:2 positive:2 stated:3 chooses:1 substitutions:4 ψj:2 definiteness:1 ψn:2 therefore:9 assistance:1 taken:8 simpler:1 type:2 bethe:10 more:4 multiplying:1 duality:1 started:1 becomes:13 apparent:1 vm:8 berlin:3 survives:1 particular:2 eε:15 cases:2 cardinality:4 iii:2 must:5 none:1 integrating:1 recall:7 equation:10 work:2 det:2 ηk:2 values:1 ξkn:1 under:3 proof:31 beautiful:1 nearest:1 compare:1 give:5 process:16 introduces:1 permutations:16 produits:1 involve:1 indicates:1 assumptions:2 numbers:1 want:6 allowed:1 yα:7 integrands:1 yγ:2 ati:4 occur:4 absolute:2 yβ:5 end:2 lemma:29 rather:2 divided:1 holds:10 feature:1 write:10 how:1 adjacent:2 liniger:1 instead:1 verlag:2 parameter:3 ensemble:2 map:1 product:26 de:1 ubiquitous:1 spitzer:1 algebra:1 may:14 earlier:1 derived:2 containing:2 residues:2 hence:5 unspecified:1 coming:5 law:1 constants:1 diffusion:1 natural:1 dynamical:2 third:1 lemmas:2 yσ:8 author:2 explicit:1 summing:2 ϕn:4 so:66 sn:8 recursion:1 representation:3 subsequently:1 integrand:34 order:6 longest:1 words:1 summands:1 indeed:2 over:63 move:9 encounter:4 satisfied:4 years:2 russian:1 course:1 paper:5 including:2 spohn:5 y1:19 satisfies:10 y2:6 its:6 roots:1 before:9 derive:2 group:1 exclusion:9 maps:2 chosen:1 exact:3 fix:1 laguerre:2 systems:6 main:4 defining:1 yi:18 eventually:2 them:2 yj:4 combination:1 yn:14 obtaining:2 evolution:1 introduce:8 scaling:2 pavel:1 ξin:1 they:4 sσ:2 ys:11 now:21 yt:2 developments:1 2t:8 eigenvalue:1 inversion:7 alex:1 2r:1 always:1 university:2 yau:1 2z:1 sufficiently:1 inequality:1 reasonable:1 each:12 found:1 side:28 2k:3 subset:1 qz:1 series:5 reduce:1 idea:1 related:1 solution:4 breakthrough:1 used:1 expect:1 combining:1 quantum:4 our:7 beyond:2 special:4 out:10 shown:3 matrix:4 factors:14 since:26 crucial:1 forty:1 denotes:1 particles:9 contained:1 adv:1 formula:6 foundation:1 ro:2 induction:12 occurs:4 math:6 shows:3 rewrote:1 harold:1 after:12 theory:2 written:7 easily:2 differ:3 free:1 inversions:2 reason:3 california:2 term:4 ask:1 pairs:3 interaction:1 derivation:2 authors:1 argument:1 times:15 turn:1 length:1 exponentially:5 incorporated:1 gunter:1 davis:1 moving:2 think:1 first:26 major:1 initial:20 xn:17 probability:21 xm:11 reprint:1 variables:8 number:8 temporarily:1 simplified:1 relations:3 another:4 indices:10 sutherland:1 interchange:3 given:17 similarly:1 introduction:2 vandermonde:4 system:12 least:5 their:3 assumption:3 master:7 expand:3 statement:2 realization:1 fonctions:1 rates:1 bijections:1 exponents:3 gives:10 rsk:1 asymmetric:9 addition:1 continuous:1 immediate:1 part:7 because:10 somewhat:1 upshot:1 x2:5 ference:1 x1:35 egrales:1 than:7 coefficients:5 begins:1 showed:2 divisible:1 double:1 ensembles:1 depends:2 claim:1 matter:1 subsequence:1 individual:1 yang:2 represents:1 were:1 toeplitz:1 powers:8 minus:3 springer:2 vacant:2 rewrite:4 craig:1 unchanged:2 gently:1 say:1 need:3 seen:2 rittenberg:1 occupied:2 any:11 lie:10 zero:21 depending:1 lim:4 latter:3 tuple:1 able:1 ideas:2 converges:2 note:2 centered:2 potential:1 ainen:1 take:17 objective:1 asymptotics:2 pmk:1 alcaraz:1 formulas:11 begin:3 exactly:1 shall:5 sαγ:3 sαβ:11 denominator:4 extending:1 involving:9 entry:1 pair:5 tracy:1 why:1 interacting:3 clear:1 later:2 physica:1 reaction:1 mechanical:1 bordeaux:1 physics:3 sum:58 fact:12 incorporate:2 thomas:2 show:13 random:8 discovered:1 bring:1 relation:2 solutions:1 substituting:2 analogue:4 baik:2 find:4 ground:2 slot:3 aσ:18 removed:1 just:2 dividing:1 became:1 specified:1 state:4 considerable:1 analytic:7 only:16 explicitly:2 factor:44 integrate:4 integrable:1 circle:8 dξj:2 des:2 columns:1 equilibrium:2 dn:7 do:5 establishes:1 notation:10 get:7 express:1 antisymmetrization:2 quickly:1 ones:2 nearly:1 reversal:1 consecutive:2 dt:1 interpreted:1 following:1 runs:9 increasing:1 widom:1 fields:1 arxiv:1 invaluable:1 remove:2 acknowledgments:1 2πi:1 reif:1 fixed:8 satisfy:2 requirement:1 set:18 dξα:1 notational:1 transpositions:1 national:1 differentials:1 see:16 computer:1 radius:3 result:14 infinitely:2 contour:18 techniques:1 satisfying:5 exponent:5 subsequent:1 review:1 below:1 eigenstates:1 symmetric:3 outside:9 various:1 between:1 progress:2 boundary:8 conditions:8 across:1 αn:1 multiplied:2 notice:3 terms:9 2pt:1 initially:2 processes:5 complement:3 analogues:1 however:1 gratefully:1 hypothesis:13 extent:1 jk:2 bose:1 configuration:19 problem:2 thank:2 suggested:2 both:5 krishnapur:1 gwa:3 reversing:1 many:2 taking:2 density:1 equal:8 deduction:1 april:2 sβα:2 present:1 une:1 iv:2 contribution:5 expression:3 ll:1 comes:1 arbitrarily:3 olya:1 cn:14 cm:2 simple:10 ca:2 asymptotically:1 evaluate:5 dimensional:9 pole:28 grants:1 simply:1 away:4 cs:6 cr:93 noisy:1 pr:2 pq:8 union:1 py:9 three:1 been:1 z1:11 int:1 z2:2 miraculously:1 expected:1 pn:17 ann:2 empty:1 define:9 determinant:5 general:9 restrictions:1 xxz:2 gas:1 else:1 shapes:1 observe:5 external:2 last:8 determinantal:4 spin:3 former:1 those:8 independence:1 applied:2 peres:1 johansson:6 replaces:1 look:1 subsets:15 might:1 value:4 remaining:2 will:10 while:7 suppose:7 cancelled:1 property:1 passes:1 procedure:1 unitary:1 henkel:1 les:1 almost:1 vi:4 thus:9 yk:8 tasep:15 according:1 ii:1 disjoint:2 ij:1 exterior:1 dη:1 claimed:2 id:4 ig:5 bleher:1 different:4 sβγ:1 things:1 make:9 same:11 clearly:5 parts:1 largest:2 modification:1 und:1 proved:1 finite:8 independent:1 extended:1 infinity:6 imply:1 i0:1 effect:1 v1:6 moment:1 uses:1 infinite:8 totally:3 identity:20 recent:1 hopping:1 preceeding:1 no:11 springerverlag:1 analysis:2 obviously:1 crystals:1 burgers:1 contact:1 solve:1 sets:5 position:4 model:2 polynomial:5 left:28 interpret:1 surveys:2 proposed:1 less:2 being:2 obtain:17 aside:2 proposes:1 shape:1 using:2 hough:1 alternative:1 yet:1 letting:1 generator:1 grouped:1 extra:1 had:2 except:1 manybody:1 lattice:2 add:2 setting:1 combine:5 easy:1 theorem:22 solvable:1 transformation:1 deift:2 rules:1 replaced:16 sums:1 possible:1 cruz:1 private:3 integer:2 unique:1 helpful:1 particle:22 δy:1 follows:9 translates:1 separately:1 doron:2 steps:1 either:1 integrals:15 gamburd:1 become:2 pointwise:1 kpz:1 replacement:1 right:23 methods:2 tells:2 some:8 back:1 cancel:1 deduce:1 growth:1 respect:6 little:1 proofs:3 transport:1 nonnegative:2 provided:1 describing:1 communications:1 nonempty:3 schilling:3 though:1 integration:3 comments:1 track:1 does:6 decomposition:1 summand:7 tends:5 anne:2 antisymmetrize:1 bessel:1 run:4 scientific:1 power:14 uniformly:3 jumps:2 continuing:1 expansion:1 step:2 binomial:1 nowhere:1 santa:1 substitution:6 relating:1 refers:1 atze:1 liggett:5 integers:1 about:1 would:1 world:1 most:18 commun:1 numerator:3 o:28 probabilities:6 range:2 neighbor:1 sepp:1 introduced:1 lieb:1 em:1 soc:2 dξ1:11 communication:3 into:2 preliminary:3 integral:27 ηj:2 ηi:3 due:1 multiply:5 ηt:3 references:1 determine:1 bijective:2 next:1 log:1 waits:1 assumed:1 acknowledged:1 there:16 specifically:1 ordered:2 start:1 quadratic:1 way:6 call:3 was:10 combined:4 function:6 ago:1 complete:1 form:11 enough:2 signs:3 phenomena:1 basic:1 independently:1 but:20 anisotropic:1 qr2:1 convergence:1 timo:1 dξn:10 true:1 collapses:1 dξk:1 he:3 fragmentation:1 xi:27 compute:6 pσ:5 default:1 la:1 inside:9 up:1 us:9 tell:1 mth:2 dms:2 limit:11 utz:10 fluctuations:2 distribution:3 pm:5 similar:4 nonintersecting:1 constant:8 ag:1 computing:2 defined:3 certain:3 abstract:1 contribute:1 am:1 convergent:1 dξ:5 single:1 proves:1 interchanged:6 corresponding:9 moves:2 identities:3 check:2 again:5 functions:1 qη:6 ingredients:1 index:1 whereas:1 when:56 vanishes:1 application:2 other:16 department:2 mathematics:2 conclusion:1 explaining:1 stat:2 elements:4 denote:8 completes:4 expressible:2 models:2 asep:11 problems:2 ξi:193 ξj:107 ξk:76 bounded:14 ξm:1 ξn:92 variable:6 sides:1 structure:1 building:1 algebraic:1 aus:1 implies:1 longer:2 assume:9 required:4 together:3 having:1 portion:2 time:16 far:2 requires:2 original:3 once:3
0704.2634.txt |@word four:6 consists:3 whose:10 aut:4 under:21 conjecture:7 stud:1 every:37 formula:11 compacte:1 cmi:2 calif:1 solution:3 vector:10 ups:4 direct:3 brill:2 second:28 even:4 established:1 tohoku:3 ˆb:1 above:12 new:7 ˆl:1 consisting:3 never:1 residual:1 here:9 represented:10 dred:1 obtained:27 suitably:1 leaves:4 suitable:11 projection:7 classification:13 explained:12 2δi:1 total:2 univ:4 kobayashi:8 would:26 cohomological:1 bundles:103 negative:3 noting:2 m1:5 therefore:49 m2:3 type:34 duals:1 kinokuniya:1 naive:1 curvature:2 holo:1 regrouping:1 nft:1 hold:4 must:4 me:4 md:5 mg:1 ma:25 mc:16 mb:1 work:2 mi:23 mk:1 mj:1 2c22:1 ms:11 ta:44 endow:1 example:1 give:8 cited:1 table:1 generically:5 yang:3 end:2 hom:3 kronheimer:2 far:1 nontrivial:7 answer:2 symposium:1 ordinary:1 classifying:1 description:4 replacing:2 earlier:1 diagram:7 parallel:9 types:5 gluing:1 third:6 projections:1 chern:31 descends:2 ical:1 order:10 restriction:13 2νi:2 over:37 expects:1 benefited:1 london:1 japan:2 satisfies:4 vari:1 fit:2 sheaf:8 writing:6 overcome:1 descend:3 maximal:3 them:1 they:8 brouwer:1 invariants:3 classified:1 each:6 side:1 mean:1 used:8 combining:1 rt:6 crucial:1 rd:14 rc:9 c31:2 ri:1 rk:2 mρ:1 linear:2 strata:2 free:15 standard:17 admits:8 assures:1 cording:1 r0:1 r1:2 hopeless:1 δij:2 signature:1 onto:7 already:5 primary:4 rank:34 another:5 similarly:4 needed:1 too:1 submersion:2 tool:1 took:1 finitely:1 surjectively:1 showed:1 msri:1 divisible:2 tree:6 classes:37 minus:1 ty1:1 contents:1 convenient:4 latter:3 isolated:1 oriented:13 nonalgebraic:1 do2:3 do1:2 circles:12 object:1 metrics:5 complexes:4 regular:11 ra0:1 acknowledgements:1 neighborhoods:10 partition:1 inoue:3 curie:1 points:39 principle:4 sum:5 dot:3 reductions:19 semicontinuity:3 attempts:1 gauge:17 solutions:3 d2:2 d3:2 d0:9 d1:3 explain:9 topological:17 continuity:4 do:8 1in:1 dk:13 di:5 dg:1 dd:3 de:4 db:17 dc:20 du:1 dr:3 ds:1 unfortunately:1 ever:2 riemannian:2 radius:1 result:24 discussions:2 subject:1 said:1 tensor:2 artificial:1 symmetric:2 µa:2 triples:2 extend:6 nature:2 hitchin:8 restricting:1 however:5 topology:10 c22:1 essentially:5 c21:3 une:3 0i:1 disappears:1 con:1 tong:1 character:3 factorize:2 te1:2 mc2:1 mc1:1 te3:7 commutative:2 puts:1 basis:7 union:16 simplification:1 vii0:2 three:2 been:9 interest:1 kodaira:1 algebras:1 families:6 ωg2:1 concerning:6 vollst:1 coherent:1 lift:9 gx0:1 worked:1 manifolds:15 applied:1 guarantees:2 endomorphism:2 euclidean:2 suppose:38 applies:6 property:6 procedure:2 a20:1 cylinder:1 played:1 epimorphism:2 ir:1 tions:1 ii:2 need:8 im:12 cone:9 id:11 containing:4 make:2 complex:62 split:26 several:4 independent:1 i0:17 hand:10 action:3 kim:1 opportunity:1 cycle:33 prescribed:1 fourier:1 claims:1 quotient:10 possesses:3 left:5 just:5 subsheaf:3 identify:2 facts:1 yet:1 previous:3 adding:1 bnx:9 infinitely:1 regarded:5 had:6 belongs:7 corollaries:1 easy:13 formal:2 bidimensional:2 noether:2 ops:1 possible:3 possibly:4 n0:1 unique:10 contradict:1 specific:1 steps:2 arbitrary:7 right:2 old:1 stiefel:1 zariski:7 hirzebruch:1 hodge:1 comments:2 unit:2 stefan:1 ol1:2 ol2:1 properties:20 proceed:1 holomorph:1 o:50 distinct:1 slightly:2 automatically:2 soc:1 statements:1 publishing:2 puzzle:4 successive:1 ut:2 lies:1 hermitian:19 bielefeld:1 amsterdam:1 existed:1 why:2 way:21 was:7 m0:20 form:34 denoting:1 cedex:1 removed:1 ementaire:1 compactification:5 maximum:1 complications:2 proved:9 up:17 abstract:1 covers:2 dirac:2 proves:15 exist:13 check:1 ni:9 nj:1 no:25 whereas:13 nc:3 when:64 vanishes:9 interested:1 role:5 node:1 picture:2 models:1 anticanonical:1 lemmata:1 dψ:2 assume:4 dτ:2 pseudo:2 together:4 factorizes:5 time:2 push:2 slope:2 remarkable:2 global:13 focus:1 invent:2 leads:3 computation:1 certainly:1 inverse:1 father:1 riemannroch:1 finally:4 elliptic:17 rham:1 supported:1 string:1 orthogonal:3 springer:2 choice:1 orientations:4 moishezon:1 exact:19 riemann:16 solves:1 level:1 did:2 irreducible:24 solved:2 peters:1 mn:1 lefschetz:1 sign:2 stands:2 bo1:2 bo2:2 current:2 international:1 nakamura:10 satisfy:2 understanding:2 tangent:1 groups:1 address:2 along:1 sobolev:5 my:5 studied:2 usually:2 petersson:1 useful:2 f2:5 prove:22 positive:7 mst:47 france:1 memory:1 msd:2 theoretical:6 duality:3 surjection:1 cases:6 valued:2 c41:1 contradicts:5 ms0:3 values:2 following:32 making:2 claim:17 dedicated:3 sense:3 counting:1 conversely:1 verlag:1 normalize:1 s2:1 s1:1 means:1 write:6 criterion:4 fourth:1 hermitienne:1 parameter:3 map:36 product:5 isomorphically:1 may:1 applications:1 produce:2 date:1 natural:17 outline:1 lemmas:1 su:7 st:28 si:1 so:89 sl:4 sb:7 a02:5 indeed:17 pointed:2 a01:4 stability:5 still:5 group:18 thank:1 forme:1 how:4 interesting:1 coordinates:2 forms:2 tors:44 mail:1 main:6 decades:1 correspondence:10 non:68 stabilizers:2 introduce:3 now:22 discuss:1 term:7 equality:2 orthonormal:2 ussr:2 roch:14 el:1 domain:1 square:6 ei:46 ek:4 ej:5 continu:1 eb:3 ey:22 happen:1 shown:1 space:115 contained:15 rational:16 dolbeault:2 shows:15 after:3 theory:10 variant:1 mapping:1 homeomorphism:8 complicated:3 e1:45 e2:26 collapsing:8 place:1 u21:1 first:25 simplifies:3 question:2 simplified:1 directly:6 degg:61 impossible:2 open:45 given:15 necessarily:1 checked:2 crossings:1 1a:2 1b:2 seiberg:2 structures:10 gives:10 continuous:2 proving:3 x0:7 copy:1 representing:2 than:1 coefficients:2 effective:14 d01:2 d00:4 future:2 bauer:1 ia1:2 ia2:1 san:1 generality:3 considerably:2 matei:1 ann:6 argument:8 generalization:1 say:3 any:61 ideas:3 note:30 ideal:1 take:2 coincide:8 multiple:2 normal:2 removes:1 projectively:9 incidence:1 algebraic:4 automorphism:3 formulae:5 pair:10 especially:1 surprising:2 considered:3 mrs:1 professional:1 precise:1 show:11 contemporary:1 notations:3 spaces:29 decompositions:1 fifth:1 fibre:2 written:14 analytic:11 only:25 explicitly:3 parabolic:1 holomorphy:1 get:26 cannot:26 progress:3 closure:6 yield:1 mapped:1 homeomorphic:3 kernel:6 surjectivity:4 j0:1 j1:2 j2:3 reductio:1 connections:15 namely:6 college:1 differentiable:1 y0:13 surgery:1 3c1:1 wonder:1 surfaces:78 satisfying:2 ways:1 definite:4 representatives:1 boundaries:7 behind:1 between:8 simplifying:1 geometric:11 across:6 vertical:2 planes:1 inclusions:1 comm:1 ji:5 article:9 come:1 ja:2 universit:1 many:5 according:2 called:5 instanton:6 embedding:25 fix:3 comes:5 nearby:1 pluriharmonic:1 nection:1 destabilized:3 afterwards:1 anti:5 constant:11 considers:1 submanifold:1 locally:13 ih:1 springerverlag:1 combined:1 u11:2 u12:2 direction:1 enable:1 formed:1 andrei:26 careful:2 those:2 case:64 sheaves:5 le:1 bogomolov:3 orientation:8 coupled:2 characteristics:1 metric:18 grauert:3 middle:2 regularity:6 fibration:1 supremum:1 different:11 develop:1 author:1 same:18 poincar:2 arguments:8 extended:3 trivially:5 sreg:2 delicate:1 changing:1 invariance:1 pa0:3 without:4 solve:3 components:12 model:2 dimension:7 manifold:34 actions:3 blow:4 generator:7 except:8 gss:13 setting:1 lett:1 extensive:1 real:9 aspects:1 around:31 psl:3 rules:1 biholomorphism:1 admitting:1 using:46 decomposes:1 pst:13 ruled:6 identifying:2 reduces:4 enriques:1 either:13 multiplicative:1 reduced:1 moreover:5 root:5 extensively:2 decomposition:4 ddc:6 o1:3 freed:1 scientific:2 power:1 kyoto:2 equivalent:8 injectivity:6 comparison:1 ol:3 central:8 od:14 discussed:1 generated:1 ox:7 uhlenbeck:5 morphism:36 inclusion:2 image:8 numerically:3 references:2 inverting:2 determine:1 einstein:5 operator:6 loc:1 shells:3 removing:1 strictly:4 there:43 strict:1 lot:2 complete:2 trying:1 divisors:2 pull:6 applying:3 embedded:1 grothendieck:9 ωg:2 obtains:5 aa:9 ab:15 ad:3 modules:4 describe:5 am:2 ao:1 general:22 ar:22 fill:1 again:5 completeness:4 semistable:2 valid:1 remarks:1 mathematics:1 polar:2 briefly:4 symbol:1 includes:1 a1:23 a0:19 a2:6 bounded:1 provence:1 curve:27 represent:1 consider:22 caused:1 fa0:1 lack:2 splitting:3 scalar:2 generalize:1 talks:1 follow:2 disk:6 ty:1 tr:1 program:1 preserved:1 th:1 td:7 degeneration:2 belonging:1 projec:1 very:13 translations:1 induce:4 corollary:33 witten:2 decide:2 difference:2 condition:15 list:1 t0:2 large:3 aumen:1 small:17 neighborhood:16 zero:3 pass:1 further:1 ter:1 canonical:16 subscripts:1 richard:1 section:47 pic0:4 version:3 sur:1 intersect:3 sup:1 method:6 full:2 component:49 oeljeklaus:6 answers:1 directions:1 σab:5 te2:31 strong:1 equations:1 te5:13 divisor:25 pict:11 inspired:1 joliot:1 allows:1 sba:1 pick:3 picd:14 picc:9 via:14 family:30 vii:75 hreg:6 equivariant:1 donaldson:24 takes:3 eyi:6 contains:33 comparing:2 endowed:8 h1b:5 more:12 flat:6 4c2:4 operators:4 ven:1 te4:8 particular:9 known:16 projective:10 none:2 recall:9 equation:3 des:2 det:34 ey1:2 ey2:2 canonically:1 deg:5 f0:14 f1:6 compare:5 stated:6 projectivization:1 states:5 sphere:9 arise:1 singletons:1 νi:3 information:4 goal:4 acts:8 maps:16 csu:2 e2i:1 simplicity:3 fr:1 fs:4 ft:1 fu:2 algebra:1 fy:5 singularities:2 orbits:1 fa:5 fb:5 plane:1 fi:9 horizontal:1 short:5 3we:1 parameterized:4 perhaps:1 sect:1 fundamental:11 september:1 developed:1 fft:1 soon:3 through:3 ity:1 existence:12 its:25 roots:1 latp:1 picard:1 solving:9 tˆa:4 actually:1 might:4 deformation:14 ya:3 framework:5 oxford:1 easily:17 finite:15 always:7 inequality:6 2b:4 2n:2 2h:3 iden:1 idea:8 functor:3 expect:1 todd:1 involution:20 since:40 induces:5 denotes:5 acting:1 izv:2 denoted:2 induced:28 occurs:1 fiber:15 analytische:1 difficulty:3 reason:1 base:4 asd:32 put:16 beginning:1 definition:8 pairs:5 consequence:2 assign:1 indebted:1 major:1 fischer:1 forwards:1 number:4 construct:2 passes:1 differ:1 introduction:10 kod:1 least:2 assumption:15 statement:19 bijections:1 store:1 holomorphic:78 part:10 believe:1 enoki:17 kindly:1 double:7 determined:1 monomorphism:3 treated:3 pluri:1 obstacles:1 ka3:2 ka2:2 ka1:3 substantial:2 conjugate:2 tτ:1 karl:1 generalizes:1 destabilizing:4 self:5 k3:5 analogy:1 play:1 towards:2 chart:1 most:3 rd1:1 subspaces:7 kd:2 clear:6 cover:6 km:2 ku:1 kt:1 ky:1 usual:2 lying:3 thomas:1 relation:3 find:2 completion:1 parameters:1 destabilize:2 generators:1 factor:3 integrable:2 circle:14 abelian:3 his:2 notation:2 ϕk:10 ϕd:1 ahlerian:21 homeomorphically:4 roles:1 arxiv:1 annalen:1 set:23 ser:1 sep:1 see:78 close:1 learnt:1 positivity:2 unions:2 toledo:1 conditions:6 knowing:1 missing:3 complement:7 attention:1 vanishing:12 both:14 last:2 connection:13 pde:1 whole:3 bott:1 point:34 simple:19 corresponds:6 dimensional:10 throughout:1 kernels:2 pp:2 described:4 pw:1 px:5 py:17 due:5 strategy:4 reduction:26 describes:2 pd:2 deduced:1 pn:2 empty:14 surjective:4 propositions:2 homologically:2 gap:1 2im:1 understand:3 representative:2 p0:8 p1:30 look:1 nakai:1 compactness:8 behavior:1 δst:1 unitary:1 vol:6 reads:2 itself:3 triple:1 vanish:4 filtrable:35 fibers:10 belong:12 emphasize:1 modification:5 products:1 composition:6 higher:1 literature:1 assignment:2 domains:1 purpose:5 recent:3 lower:3 task:1 analysis:1 obviously:8 mreg:1 mred:7 shape:1 λg:7 questions:2 world:2 homeomorphisms:1 rgt:2 conclusions:1 theorem:50 mod:5 euler:1 stein:1 isomorphisms:8 game:2 complexification:1 georges:1 follows:36 holomorphically:2 spinc:2 communications:1 yields:2 topologically:2 mathematical:1 methods:8 discrete:2 absolutely:2 some:5 back:7 understood:3 b0:4 b1:27 b2:74 tends:1 proc:2 minimal:30 ba:6 bc:4 δb0:4 jumps:1 hulek:1 rue:1 restrictive:3 step:3 weil:1 bs:3 hilbert:1 idx:1 extending:3 extensions:28 ide:2 into:13 mills:3 integral:2 isomorphic:18 locus:24 perturbing:1 next:4 buchdahl:8 sequence:16 u1:5 long:1 u2:6 forward:1 polystable:34 sections:6 complexified:1 collapsed:3 gauduchon:24 line:73 kahler:1 characteristic:3 2πih:1 us:4 ul:2 ui:3 cit:1 continuously:1 ud:4 marseille:1 similar:4 torus:16 ub:2 associated:26 defined:25 coincides:2 lyz:1 single:4 formalism:1 defines:11 disks:6 absurdum:1 composing:1 priori:2 arithmetic:1 elements:5 exp:1 meaning:1 structure:46 kx:2 implies:12 unneth:1 orbit:3 na2:3 na3:2 na1:7 came:2 requires:2 having:2 gt:17 gr:2 results:21 p02:1 proposition:70 ga:2 kato:9 gl:12 compact:47 simon:1 stable:41 atlas:2 include:1 g0:4 result1:1 putting:1 entire:1 tokyo:1 assignments:1 mrowka:1 l2k:2 imply:5 odd:5 index:4 plays:3 invertible:1 giving:1 nicholas:5 codimension:3 chose:1 degree:7 respectively:20 prescribe:1 identifications:1 objects:1 z0:4 z2:8 morphisms:5 remark:8 technical:2 larger:1 contradiction:6 resulting:4 makes:2 rdj:1 volg:1 ii0:5 cobordism:1 addressed:2 apply:7 use:15 remains:1 germ:1 few:1 examination:1 torsor:1 formally:2 becomes:4 trivialization:2 ρa:1 account:6 isomorphism:36 ch0:3 ch1:4 ch2:4 obvious:21 stabilizer:2 meet:1 ρz:1 proof:52 control:1 lρ:4 oc:3 loci:12 purposes:3 pieces:5 publications:1 assumptions:7 siu:1 holds:12 brian:1 reducible:5 mj2:3 instead:1 afs:1 ta0:2 singular:1 inst:1 fits:1 cokernel:1 chasing:1 computations:2 lines:6 correspond:4 element:6 allow:2 unsolved:1 p1c:1 interpreted:1 symbols:1 mathematicians:2 including:1 looks:1 banach:2 mentioned:2 complicate:1 ext1:1 la:3 ln:1 li:11 h2:12 choose:8 lp:2 covered:1 defining:2 ly:3 serre:2 h1:24 inductively:1 4c21:1 tensoring:1 betti:1 university:1 identified:31 sufficiently:15 2ei:1 l2:5 l0:6 l1:4 identifies:5 subset:9 completions:3 related:1 elementary:1 our:45 special:2 out:5 category:4 lt1:5 matrix:1 res:1 posteriori:2 geom:1 performs:1 suffices:14 reg:1 math:21 completely:2 geometry:15 could:3 ahler:6 assumed:2 hence:17 blown:8 bijection:2 precisely:7 πc:5 adjoint:2 system:8 relations:2 their:8 appl:1 final:1 shell:9 foliation:1 holland:1 punctured:7 ber:1 w2:1 curves:53 fail:1 disjoint:7 studying:2 able:1 instance:5 concerns:1 techniques:2 εb:1 who:3 connected:23 representation:2 class:124 annulus:1 consequences:1 proceedings:1 construction:6 mi2:14 fact:11 tified:1 trivial:39 principal:2 based:4 should:3 lemma:56 princeton:1 inherited:2 attained:1 local:9 hopf:7 exceptional:5 words:4 mgt:2 db1:1 db2:5 determinants:1 qx:2 differential:2 contain:12 fixed:21 transversality:1 intervening:1 end0:29 moduli:96 multiplying:1 modulo:6 computed:2 exists:29 smooth:32 hypersurface:1 module:3 operates:1 geometrically:2 terms:5 affine:4 tend:1 state:1 difficulties:1 identification:6 pures:1 closed:19 invariant:12 boundary:22 kuranishi:2 ends:2 injectively:1 subbundles:1 hypothesis:6 configuration:2 ker:16 freely:3 taking:7 τi:3 etc:1 otherwise:1 ci:3 ch:36 co:1 cn:4 conclude:2 cc:3 cb:5 cohomology:12 harmonic:3 sequences:1 cs:2 respect:13 cq:1 torsion:12 yau:2 copies:3 certain:4 equivalently:4 define:6 determinant:6 corresponding:22 adjunction:1 sufficient:2 subspace:20 c2:40 c1:73 c0:6 ott:2 splits:3 subsets:5 appearance:2 value:2 will:73 noticed:1 vb:3 vl:2 instantons:29 surface:97 dual:2 claimed:4 generic:2 parts:1 gets:10 difficult:9 ball:1 seibergwitten:1 infinite:1 frequently:1 identity:4 genus:3 center:3 bootstrapping:1 nevertheless:1 com:1 teleman:34 well:13 sets:5 position:2 subgroup:1 spherical:12 obtain:13 underlying:1 glue:2 adv:1 wee:1 book:1 extends:8 stratum:1 morphic:1 know:9 press:2 immediately:3 intersection:9 loss:1 necessary:3 like:1 δu:1 diffeomorphic:1 martin:1 works:1 δb:2 acad:1 parity:2 because:34 classical:3 smoothly:1 belonged:2 choosing:3 proper:2 proofs:2 dc0:23 dc1:9 possibilities:3 nonempty:1 avoid:1 2c1:1 2c2:1 does:16 summand:1 assuming:3 blowing:6 journal:1 dcb:3 although:1 tautological:2 injective:11 quotients:1 about:13 extension:53 column:1 triviality:1 compatible:1 carries:1 important:22 toma:6 introduced:3 subbundle:7 bu2:2 h0:40 bu1:3 van:1 sugaku:1 imperial:1 pa:15 encouragements:1 naturally:1 function:1 north:1 but:30 volume:4 expected:2 hi:2 goals:1 hl:37 he:1 made:1 compute:2 whether:3 variations:2 bijectively:1 below:4 projecting:1 biholomorphic:3 iterated:2 problem:16 piece:1 4u:2 intersects:2 int:1 universal:14 pic:24 denote:29 identities:2 diego:1 detail:2 barth:1 other:15 details:2 bc1:1 bc2:1 expositions:1 zheng:1 bundle:131 hausdorff:3 singleton:2 bci:3 factors:1 4s:2 rule:2 paracompact:1 northholland:1 4c:3 whitney:1
0704.2635.txt |@word monte:2 concept:1 evidence:1 consider:2 remarkable:1 squared:3 excellent:1 results:6 niedermayer:3 gc:1 overlap:3 consists:1 expressions:1 contributions:6 certainly:1 const:1 calculate:2 concerned:1 involve:1 tr:34 removal:1 finally:1 does:4 indicate:2 under:1 divergent:2 overlaps:1 belonging:1 string:5 very:3 rise:2 choice:7 logarithmically:1 exact:1 school:1 moderate:1 staples:1 level:8 turns:4 proposals:1 solution:1 large:11 settle:1 small:7 relation:3 lines:1 configurations:7 fµν:4 oscillation:1 excited:1 σa2:30 plaquette:5 maintain:1 approximation:5 second:1 evaluated:1 equal:1 further:5 rectangular:2 carlo:2 hamper:1 quite:1 linear:5 subscripts:1 established:1 errors:3 appear:1 fine:1 sum:2 consistently:2 version:1 above:3 new:19 contributes:1 method:1 contrast:3 edited:1 agreement:3 led:2 chose:1 ibid:1 respectively:2 hasenfratz:6 spacing:20 here:9 understanding:1 ranges:1 desired:1 explore:1 mev:1 smearing:4 groups:1 address:1 directions:2 depend:1 along:3 quark:13 equations:7 appears:3 change:1 violate:1 obtained:7 convert:1 langfeld:4 nth:1 study:9 larger:1 commonly:1 amount:5 procedure:6 action:83 forcrand:1 implement:1 kaneko:1 cancellation:4 involves:1 invalidate:1 followed:1 figure:11 extrapolations:1 ground:1 problematic:1 quarks:2 wii:5 highly:1 8c1:1 rg:4 total:1 schilling:1 anyhow:1 linearly:1 use:6 asymptotic:24 thermalisation:5 chooses:1 next:2 process:2 nucl:13 explicitly:1 call:2 therefore:6 renormalisation:2 m2:3 taken:2 type:3 until:1 minor:1 more:5 smeared:2 flat:1 definition:4 clearly:2 initial:2 naive:5 generically:1 particular:1 known:4 actual:3 cases:2 iii:2 must:7 states:1 account:2 rotational:14 room:1 erratum:1 setup:1 work:5 sweeps:9 theories:6 reproduce:1 values:18 following:1 arrive:1 root:2 history:1 claim:1 compare:1 onset:1 links:5 give:3 calculation:4 expanding:1 arise:1 table:10 confused:1 implementations:1 δv2:1 high:4 necco:4 numbers:1 sense:1 tions:1 simple:2 axis:7 monitoring:1 hoc:1 rather:3 breaking:12 s6:2 s4:1 hampered:1 located:1 methodology:1 criterion:1 thermodynamics:1 fourth:1 answer:2 instead:1 absolute:2 parameter:6 1loop:1 belongs:1 badly:1 concerning:1 de:1 description:1 replacing:2 after:1 long:2 sophistication:1 hence:1 iwasaki:7 produce:2 lepage:1 lat:8 findings:1 data:32 compatibility:1 types:1 efficiently:1 realized:1 natural:1 dynamical:1 imply:1 goal:1 eliminated:1 correspond:1 su:47 perform:2 complexity:1 extrapolation:2 so:4 fundamental:1 reduced:2 taking:1 definitions:1 kurt:2 crystallographic:1 order:18 exotic:1 interpretation:2 help:1 september:1 indeed:1 pointed:1 soon:1 unjustified:1 thermal:1 paper:6 through:1 statistical:4 during:1 satisfies:1 still:4 its:3 before:1 perfect:1 superior:2 group:3 monitor:1 fit:9 ln:11 matrices:1 coarser:1 expectations:1 better:8 absence:1 offers:1 degrees:1 choose:3 w22:25 main:2 might:5 luscher:1 non:3 good:2 adjacent:1 combination:1 universality:1 outlined:3 practice:3 investigated:4 anticipated:1 scaling:51 effects:7 they:1 accumulate:1 now:3 bigger:1 possess:1 easily:1 term:3 several:2 fully:1 university:2 identified:1 sufficiently:2 2a:4 reasonable:2 each:4 found:1 side:2 mean:3 schemes:1 significantly:1 tension:5 energy:5 revised:1 positioned:2 idea:1 w11:30 used:11 static:10 remove:3 measure:2 quantum:1 our:10 out:12 emerges:1 shown:9 bali:1 space:1 quantify:2 symanzik:3 since:2 crucial:2 cancels:1 denotes:2 re:34 investigation:4 reader:1 formula:3 get:1 issue:1 correct:1 shows:3 theory:15 enforcing:1 differ:1 standard:24 manifestly:1 completely:1 advantages:1 enhance:1 van:2 estimate:3 rises:1 beginning:2 generate:2 incorporates:1 dremin:1 employing:3 derivation:1 could:3 iterative:1 furthermore:1 turn:1 length:3 explored:1 unknown:1 corrections:5 first:2 origin:1 already:3 features:1 symmetry:15 enhances:1 nc2:1 nc4:1 number:10 reaches:1 transform:1 clear:1 improvements:4 done:1 nonperturbative:1 another:2 drastic:1 electronic:1 size:5 given:6 perturbation:4 checked:2 temperature:1 quality:2 needed:2 introduction:1 leading:4 top:1 achieved:3 least:1 fm:2 priority:1 their:6 cooling:2 too:3 calculations:1 dealing:1 scheme:15 final:1 gives:2 greensite:1 statement:1 estimates:2 explanation:1 continuous:1 eliminates:3 spacings:5 than:3 coefficients:3 outline:1 distance:1 was:3 approximations:3 iteration:6 see:7 determined:2 were:3 λuv:1 contrasted:1 powers:1 perturbative:8 motivation:2 symmetries:1 fluctuation:1 wµν:31 tom:1 manuscript:1 smaller:2 qualitatively:1 need:3 seen:1 seem:1 unaffected:1 any:5 wilson:32 smallest:1 regime:2 thoroughly:1 latter:4 mills:6 thorough:1 converges:1 note:8 emphasis:1 potential:13 converged:1 veal:1 subject:1 even:3 play:1 exactly:1 multiple:1 degrand:2 investigations:3 collaboration:2 leave:1 most:1 significant:1 preliminary:1 pair:1 acknowledgements:1 measured:3 signalled:1 dummy:2 deviations:3 especially:1 considered:6 calculated:9 partition:2 cover:1 regularisations:1 duµ:7 2nd:1 proceedings:1 points:3 principle:2 exp:7 aµ:2 left:3 physics:1 section:3 fact:1 show:3 supported:1 converge:1 convergence:4 gauge:25 solutions:2 hypercube:1 find:2 make:2 impact:1 summarised:4 ratio:5 knowledge:1 parameters:8 should:4 only:11 going:1 subsection:4 factor:1 attained:1 over:1 hope:1 do:4 cube:1 invoke:3 means:4 familiar:1 express:1 expectation:13 cannot:1 nconf:9 international:1 report:1 lattices:3 reveal:2 continuum:15 karsch:1 arxiv:8 yield:5 garcia:1 investigate:1 common:1 gribov:1 fixed:1 valid:1 approaching:1 reveals:1 set:5 questions:1 reference:1 sep:1 tree:4 unpublished:1 correlations:1 observed:4 depends:4 computer:2 bare:3 result:2 dµ:1 techniques:3 ergodicity:1 fails:2 visiting:1 below:5 diverge:1 state:1 future:2 invokes:1 between:5 invariant:2 justified:2 approach:9 reinhardt:1 available:2 terms:18 statistically:2 right:2 semikhatov:1 suppresses:1 focus:1 however:12 tlow:3 vanishing:1 spoil:2 rapidly:1 configuration:4 suppressed:1 relying:1 improve:1 both:9 improved:27 many:1 invited:1 conclusions:1 according:3 chosen:2 asym:3 improves:1 dated:1 context:1 exceeds:1 σr:1 contribution:2 argue:1 otherwise:1 a2µ:1 cm:1 point:4 2nc:2 sweep:1 wohlert:1 dimensional:2 taylor:1 anti:3 iterations:2 cancel:2 respect:5 kanaya:1 considers:1 considering:1 resorting:1 ensures:1 tuning:1 basis:1 would:1 been:12 olejnik:1 reduction:1 much:3 coarse:3 basic:1 expected:1 baal:2 fig:5 direction:3 adopted:1 corresponding:1 observable:1 sufficient:3 precision:2 observe:3 systematic:1 prescription:1 c1:4 c0:2 irrelevant:11 present:18 case:8 replaces:1 pacs:1 defining:2 straight:1 cabbibo:1 value:17 choices:1 will:12 invoking:1 while:2 replaced:1 match:1 reliably:1 error:3 property:1 hampering:1 σa:6 loop:34 planar:3 studied:1 orientation:1 almost:1 vi:1 von:2 formulation:1 thus:1 site:1 iv:3 ii:1 rid:1 comments:1 dbw2:5 different:3 develop:1 anymore:1 generic:2 suggest:2 divergences:1 lett:1 same:3 orders:1 selfconsistent:1 unity:1 potentially:1 widely:3 auto:1 units:7 dimensionless:1 finite:7 bring:1 higher:4 development:1 independent:8 literature:2 singapore:1 cubic:1 weisz:3 numerical:11 v0:2 lavelle:1 moment:1 purpose:4 potentials:1 invariance:2 landau:3 focal:2 built:1 relies:2 break:1 task:2 off:6 modes:2 largely:2 nevertheless:1 substantially:1 well:13 obviously:1 without:5 solve:2 sets:1 quantitative:1 model:1 arising:1 self:2 justify:2 distances:1 r02:2 proposed:6 obtain:3 actions:20 underlying:1 kill:1 predicts:1 integer:1 speed:1 yet:2 previous:2 heuristic:4 density:1 tok:1 seems:3 improvement:29 lattice:66 add:2 other:3 extends:1 treatment:1 easy:1 relevance:1 remaining:1 momentum:1 increased:1 rev:4 represents:1 thermalized:2 possible:1 finding:1 uthep:1 burden:1 using:15 accepted:1 moreover:1 helpful:1 necessary:2 like:1 sizes:2 δv:15 follows:1 reduces:1 sakharov:1 serves:1 sized:2 u40:2 yields:1 either:1 integrals:3 arbitrary:1 popular:2 become:2 introduce:1 reasonably:2 cooled:1 specifies:1 satisfactory:1 pl4:1 methods:1 laermann:1 staff:1 some:1 certain:1 understood:1 choosing:2 specified:1 proper:3 extended:1 sommer:2 matching:1 provided:3 scale:9 tsukuba:1 lead:1 bottom:1 cσ:3 highest:1 measurements:1 thank:2 stops:1 tadpole:46 critical:1 eliminate:2 provides:1 assuming:1 o6:10 o4:6 proc:2 minimal:3 measuring:1 conference:1 scientific:1 sensible:1 performed:4 σii:2 reflection:1 consuming:1 expansion:15 update:1 pressure:1 r0:4 although:3 normalisation:1 properties:6 stage:2 comparison:3 central:1 carried:3 world:1 freedom:1 discussed:1 dependence:3 o:6 simulation:7 trustworthy:1 addition:1 range:3 important:5 introduced:1 enhancement:1 cutoff:6 equally:1 own:1 facility:1 previously:1 into:2 within:1 numerically:1 functional:3 suppl:2 phase:1 because:7 determine:1 estimators:2 operator:3 proportional:1 nowadays:3 yoshie:1 statistics:1 hep:8 additional:2 normalised:3 support:2 there:5 question:5 u0:3 fast:1 class:1 start:2 quadratic:2 low:1 sections:1 assumes:1 function:25 complete:3 becoming:1 qcd:3 denoting:1 but:7 construction:2 link:5 drops:1 elimination:1 marinari:1 line:3 ha:1 absent:1 made:5 whether:3 wish:1 uv:1 up:2 us:3 plymouth:4 un:1 limit:6 uk:2 heinzl:1 fluctuations:1 problem:2 similar:1 called:5 detailed:2 sort:1 ac:2 ab:2 associated:1 ad:1 coincides:1 universal:1 approximate:1 meaningless:1 denote:2 loops:9 dν:1 exist:2 regularisation:3 aw:1 simulations:10 perez:1 physical:3 functions:3 compared:3 taro:2 no:1 uµ:6 fixing:1 whereas:1 nc:15 when:2 pp:1 field:6 yang:6 role:1 details:1 spatial:3 hpc:1 mathematics:1 solely:1 operators:2 reflections:1 deviation:3 briefly:1 calculating:1 initio:2 dof:3 generated:2 a2:15 a4:1 a6:1 included:2 suffers:1 implies:2 coupling:3 algorithm:2 assume:2 martin:1 rule:1 mass:1 fitted:1 time:5 far:1 observables:2 once:1 starting:1 having:1 8th:1
0704.2636.txt |@word gv:1 extrapolated:14 consider:3 edd:1 fleury:1 magnetic:49 gillessen:1 desirable:1 results:1 eds:2 variability:1 winds:1 gm:2 disk:22 cases:1 issues:1 optical:1 compact:1 rd:1 inverse:9 summarises:1 zone:3 ergs:1 technique:1 those:2 under:1 hermann:1 γa:3 include:2 rob:1 brown:1 very:2 could:1 massweighted:1 konopelko:1 rayner:1 school:1 costamante:1 solution:1 4πgm:1 small:2 guy:1 der:1 originate:2 carter:1 miller:1 consistent:3 estimates:9 direct:1 approximation:1 imply:2 evaluated:1 rowell:1 further:3 dynamics:1 estimated:7 incompatible:1 tev:3 theory:2 even:2 will:1 developed:1 sub:1 gaidos:1 brackets:1 giving:2 section:1 kus:3 eic:2 ρr:2 above:2 obvious:1 shocks:1 full:1 γjet:1 fields:7 equals:1 here:1 agreement:2 explore:1 objects:2 illustration:1 groups:1 active:1 ratio:7 along:3 equations:3 stresses:2 great:2 bext:3 parameters:1 suitably:1 magnetism:1 larger:2 era:1 example:2 simultaneous:1 usually:1 buckley:1 useful:1 although:1 apr:1 gallou:1 first:1 rφ:2 viz:1 pacific:1 rω:1 unit:1 eddington:1 conventional:2 bolz:1 asymptotic:5 would:2 remains:1 approach:2 therefore:2 australian:1 m8:2 blazars:10 more:3 initial:1 pelletier:1 emission:17 keplerian:2 benbow:1 payne:3 hofmann:1 glast:1 particular:2 known:1 hole:8 krennrich:1 ρa:9 rin:7 springer:1 characterised:1 integrating:1 science:1 equation:11 centrifugally:1 γr2:1 groves:2 assumptions:2 values:5 mp:1 following:4 averages:1 scatter:1 define:1 compare:2 stream:2 relativistic:7 cited:1 hauser:1 high:9 indicates:1 identified:1 lorentz:4 gordo:1 reynolds:1 verlag:1 needs:1 rays:1 xxxx:1 fontaine:1 provide:1 discussion:1 acts:2 utilize:1 regions:2 varies:1 pian:1 low:1 pure:2 symposium:1 field:43 parameter:1 ensemble:1 fare:1 fr:1 galactic:1 may:5 use:1 derived:1 different:1 consequence:1 plane:1 whilst:1 fe:4 constants:1 sz:2 stress:6 dynamical:2 leroy:1 lines:2 corona:1 rather:1 extrapolation:1 so:3 grandi:1 raue:1 increase:1 order:6 wind:3 rjet:4 cσt:1 over:5 mainly:1 facilitated:1 produced:1 cotter:1 paper:2 horns:1 existence:3 kinetic:1 its:2 envisage:1 effect:1 le:1 outer:1 acknowledge:1 coordinates:1 li:2 better:1 estimating:2 systems:1 marshall:1 them:1 adjacent:1 integral:1 oxford:1 hall:1 represents:1 term:1 several:1 2πr2:1 fully:1 university:1 henri:1 2g:1 latham:1 toroidal:1 luminosity:1 mean:3 different:4 weighted:2 4πr2:1 kuncic:4 series:2 energy:20 reduce:1 principles:1 related:2 flow:5 society:1 literature:1 connect:1 entering:1 sectional:1 assumption:2 out:2 gallant:1 ρr2:4 dominates:2 space:1 coincidentally:1 furthermore:1 since:3 research:1 particles:1 alfven:5 rg:14 dominated:7 ra:11 denoted:2 dominate:1 earlier:1 linear:1 galaxies:1 weekes:1 raubenheimer:1 base:9 streamline:7 estimate:13 monographs:1 r0:11 r2:3 flare:1 route:1 turn:1 osborne:1 incorporated:2 mkn:9 hence:5 onto:1 think:1 integrand:1 already:1 lemoine:1 relate:1 variables:1 number:1 carry:1 reached:1 synchroton:1 angular:6 given:4 jet:34 introduction:1 redondo:1 system:1 approximately:2 their:1 accretion:24 observations:2 2fe:2 celotti:1 frame:2 gives:2 feinstein:1 difference:1 relationship:3 visser:1 flux:27 lohse:1 part:1 believe:1 than:2 population:1 urry:1 hillas:1 showed:1 collaborations:1 require:1 rate:8 marcowith:1 aas:1 function:2 effectively:1 kazanas:2 say:1 substantial:3 panter:1 qualitatively:1 need:1 tells:1 ray:4 strength:2 form:1 mestel:2 lic:8 moriarty:1 rout:7 mid:1 extrapolating:1 strengths:2 accuracy:2 surfaces:1 decelerating:2 trφ:4 most:1 nolan:1 model:7 volume:2 doi:1 especially:1 ρvz:1 calculated:1 adopt:1 flow:1 inferred:1 points:1 electrons:5 ρvi:1 poynting:10 mrk:1 velocity:7 physics:1 notion:1 precise:1 pks:4 chadwick:1 lewis:1 radii:4 stringent:1 radio:2 inconsistent:1 keywords:1 aharonian:3 make:2 sj:1 x1:2 based:5 dividing:2 should:1 only:1 black:12 factor:5 integrate:1 local:1 astronomical:1 first:1 continuity:1 do:2 dm:2 dominant:1 invoke:1 means:2 vary:1 de:2 unimportant:1 dz:2 international:2 conjunction:1 dr:6 ssc:5 takahashi:1 prime:1 evolution:1 bar:1 densities:2 indicated:2 fields:1 arxiv:1 yield:1 vincent:1 view:1 reimer:2 our:1 physically:1 national:1 pohl:1 turbulent:2 depends:2 radius:8 result:1 eliminating:1 close:2 closer:1 scattering:2 energetics:1 macros:1 outside:1 between:9 subscript:1 conditions:1 across:1 schuster:1 observational:1 comparable:1 terms:2 vertical:4 nature:1 initially:1 component:2 however:6 punch:1 jets:3 linkage:3 both:1 last:2 region:13 compton:11 heating:1 propagation:1 cylindrical:2 utilising:1 lessard:1 pita:1 distinction:1 expression:1 σt:1 confined:1 cm:2 continuation:1 height:1 walt:1 distinguish:1 ii:1 quinn:1 respect:1 samuelson:1 aller:1 conference:1 locally:1 poloidal:9 three:4 geoffrey:2 magnetized:1 much:1 deposited:1 combined:1 azimuthal:5 ph:1 riley:1 treatment:1 obtained:3 drury:1 xxx:1 photon:1 determination:1 magnetised:1 c2:2 chiappetti:1 c5:1 c4:1 associated:1 bφ:15 rdr:1 appearance:1 examine:2 value:5 aim:2 near:3 suppose:1 fegan:2 error:1 irrespective:1 procedure:1 va:9 ve:1 vol:2 averaging:1 vj:1 vk:5 thus:2 non:1 surface:9 cawley:1 vp:4 apjl:1 vr:1 unification:1 vz:12 binary:1 containing:1 mccomb:1 φz:1 cross:2 same:2 any:1 sahakian:1 funk:1 units:1 tagliaferri:1 shakura:2 regime:2 development:1 independent:3 used:4 see:3 numerical:1 upon:2 flows:1 hand:3 driven:2 v5:1 sunyaev:2 single:1 prescribed:1 weakly:1 blazar:18 well:5 components:3 comparisons:2 bicknell:9 blandford:3 self:2 catanese:1 r02:3 proposed:1 less:1 being:2 wagner:4 obtain:1 rest:3 axisymmetric:2 lacertae:2 tilde:1 speed:1 rapid:1 preprint:1 density:10 rose:1 photons:7 akhperjanian:1 source:4 other:5 blob:1 overview:1 plasma:1 momentum:3 australia:1 around:1 evaluate:1 schlickeiser:1 bic:4 possibly:1 know:1 press:1 using:7 apj:2 like:1 particle:2 follows:1 mhd:2 disks:5 djannati:1 either:1 invaluable:1 georganopoulos:2 soft:8 reasonably:1 markarian:1 entrained:1 webb:1 because:1 deal:1 some:2 jager:1 beilicke:1 maraschi:2 examples:1 table:5 siewert:1 transport:2 provided:2 tube:1 per:1 specific:1 does:1 conclusions:1 assuming:3 reasonable:1 power:3 bl:2 stefan:1 raux:1 perpendicular:1 expansion:1 stellar:1 clarendon:1 step:1 bp:4 br:1 boisson:1 rbφ:8 refers:1 bz:13 comparison:6 channelling:1 naurois:1 column:3 dependence:1 o:4 compatible:1 aye:1 important:4 ghisellini:1 act:1 consequently:1 gamma:3 tavecchio:1 into:3 within:1 numerically:1 sol:4 en:1 references:2 multifrequency:1 determine:3 giebels:1 van:1 additional:1 rolland:1 area:2 assumed:1 there:1 workshop:1 inner:1 way:1 treves:1 astrophysics:2 was:1 treat:1 synchrotron:2 newtonian:1 latex:1 relaxed:1 denoting:1 berge:1 astro:1 mnras:1 line:2 removed:1 hinton:1 made:1 surprising:2 embedded:1 gravitational:4 us:2 simplifying:3 entrainment:1 problem:1 similar:1 agree:3 detailed:1 constant:4 rvk:1 abstract:1 general:1 weston:1 conserved:1 exist:1 laboratory:1 physical:2 compared:2 whereas:1 when:1 valid:1 details:1 spatial:1 test:1 finley:1 principle:2 polar:1 rivoal:1 models:22 gas:1 welcome:1 schlenker:1 jung:1 prepared:1 generated:1 coronal:1 included:1 astronomy:2 independently:2 coupling:1 assume:5 resolution:1 required:1 holes:4 fossati:1 equivalently:1 mass:13 outflow:3 time:1 nuclei:1 requires:1 original:1
0704.2637.txt |@word limited:2 abundances:9 code:3 sci:1 consider:1 washed:1 bull:1 results:7 existing:5 four:1 olive:2 per:1 edu:2 morphology:6 follow:4 expressions:1 conservative:1 disintegration:1 hauschildt:2 3m:1 synthetic:1 increase:1 ree:2 compose:1 depend:1 calculate:4 zone:1 birthline:1 iii:7 flash:3 vs:3 young:1 including:1 created:5 environment:5 tail:13 present:5 excluded:1 under:1 demarque:6 suffered:2 include:3 overlaps:1 dex:1 yr:2 cacciari:1 minimum:1 parameterize:1 very:10 mv:2 account:1 izotov:2 updates:1 anonymous:1 mixing:2 affect:2 difference:14 exact:1 vlt:1 grevesse:2 states:1 noels:3 entire:2 coeval:1 galaxies:1 evolved:3 immediately:1 presented:3 did:2 residing:1 minniti:1 cmd:19 list:2 colors:3 large:13 discrete:1 interpolating:1 asp:1 yale:6 small:3 shows:3 origlia:6 noted:8 added:1 recio:2 concluded:3 upper:2 employing:1 neighborhood:1 miller:4 consistent:7 estimates:3 prediction:1 literature:2 empirical:4 past:4 winds:3 imply:3 basu:1 timescales:1 populating:2 download:1 further:1 implemented:1 incompatible:1 quite:1 canonical:1 even:8 employ:1 what:2 villanova:5 appear:11 rate:5 norris:20 giving:1 sun:3 section:1 saumon:2 while:3 questioned:1 current:5 version:2 run:1 polluting:2 above:5 fractional:3 new:4 commensurate:1 method:1 filled:6 thin:1 revealing:1 compact:1 lee:11 meynet:2 ranged:1 respectively:4 doing:2 component:1 labeled:1 here:2 mnras:5 tracks:3 l25:1 groups:1 excess:1 alone:3 accretion:15 along:3 strong:1 table:25 appears:1 change:1 extreme:3 obtained:3 solid:1 great:2 increments:2 montalban:1 noticeable:1 shift:4 losses:18 90m:1 example:2 significantly:1 prior:1 amount:14 survey:1 cassisi:4 merges:1 usually:1 formation:3 noticeably:1 studies:2 plotted:1 kindly:1 showing:1 via:2 followed:1 although:3 scales:3 apr:1 requiring:3 groenewegen:2 private:2 functions:1 order:6 ascend:1 addressed:1 analyzing:1 anomalies:1 composes:1 implausible:1 apply:1 neutrino:1 total:17 differ:1 iglesias:3 undergone:1 takes:3 would:37 brighter:5 distinct:1 l43:1 faint:1 predictions:3 properties:2 scenarios:6 comparing:1 approach:2 call:1 opposed:1 taken:3 themselves:2 thru:1 theoretical:8 today:1 more:23 separated:2 flat:1 turnoff:2 bellini:1 furnishing:1 populations:23 composite:5 vangioni:1 factor:1 envelope:5 occurred:1 tested:1 zoccali:1 controlling:1 45m:1 fusi:2 varying:1 known:5 cases:4 galleti:1 producing:2 helmholtz:1 must:1 abundance:12 sample:1 none:1 rotational:1 left:1 reducing:1 science:1 equation:5 work:4 rood:2 jehin:1 reproduce:1 gibson:1 per1:1 erg:1 obvious:1 temperatures:4 ms:6 zams:5 following:4 arrive:1 itoh:2 history:3 compare:1 suda:1 figure:16 process:1 choice:4 allowed:2 suggestions:1 now:2 high:22 way:4 numbers:6 magnitudes:17 rescaling:2 conversely:1 occur:1 simple:2 axis:1 counting:1 end:4 provide:1 hydrogen:5 llnl:1 globular:10 thoul:7 chabrier:1 regions:1 far:7 hot:5 observe:2 cannon:2 bressan:1 allowable:3 carraro:1 parameter:4 undertook:1 gordon:1 product:4 sne:4 tried:1 undergoing:1 may:3 bekki:4 derived:2 confirmed:3 constraint:1 diagram:2 primordial:2 goriely:1 produce:5 fe:10 mag:1 date:1 horizontal:12 law:1 data:11 response:1 paulson:1 contrived:1 changes:1 short:1 branches:3 preferential:1 effective:1 computations:1 clump:16 spectra:2 lines:2 lost:4 parameterized:1 element:2 hypotheses:1 perhaps:2 extrapolation:1 green:2 allow:2 discussion:1 operate:1 guenther:2 began:1 wind:1 typical:2 displays:1 evolutionary:10 help:1 furnished:1 gratton:2 developed:3 over:5 despite:1 mainly:1 ejecta:11 years:2 produced:10 whilst:2 paper:3 through:1 nitrogen:1 jimenez:2 employed:1 still:2 its:2 galaxy:1 observational:5 delay:1 mighell:1 position:1 outer:2 thank:2 fit:2 imf:15 chosen:1 progeny:1 masses:16 l71:1 hoek:2 varies:1 bondi:3 production:2 fig:11 convective:2 cass:1 clusters:6 main:38 decades:1 into:1 yi:6 freeman:3 them:4 good:1 motivated:1 greater:10 combination:2 descendants:2 bellazzini:5 material:24 slight:1 often:2 tails:1 effects:4 they:22 yp:2 rotation:1 pancino:5 ordinary:3 structural:1 represents:1 indeed:1 hereafter:1 oxygen:1 l37:1 calibrating:1 university:1 level:4 jorissen:1 merge:6 magnitude:6 bono:4 conflict:1 reasonable:1 each:1 found:12 entirely:1 photometry:4 side:4 metalrich:1 referred:1 successful:1 another:3 chung:1 populated:5 bump:1 ed:2 revised:2 idea:1 fractions:1 straniero:4 used:5 remove:3 discriminator:1 our:27 approximated:1 bluer:3 description:1 principles:1 yonsei:1 shown:13 rey:7 matrix:1 rr:11 display:1 gradient:1 furthermore:1 since:5 operates:1 den:2 research:1 content:21 28m:1 investigation:3 theoretically:1 appreciably:3 formula:1 gov:1 forth:1 occurs:2 red:10 centauri:51 creating:2 after:2 theory:4 million:1 mechanisms:1 given:3 possibility:1 standard:3 overluminous:1 approaches:1 base:1 deepening:1 york:1 put:2 originally:1 estimate:1 generate:2 thuan:2 buonanno:1 chose:1 26k:1 isochrones:17 locations:1 determining:1 could:4 times:2 motion:1 turn:5 length:1 plane:3 place:4 massive:8 incorporated:1 kroupa:10 onto:4 first:4 origin:1 major:1 there:5 vittorio:1 reveals:1 feel:1 variables:7 stathakis:1 causing:1 number:9 space:1 will:6 smaller:1 least:3 directly:3 reached:2 open:5 summarize:1 ser:1 little:3 ancient:1 checked:1 temperature:4 likely:4 similarly:1 introduction:1 revealed:1 top:1 system:1 approximately:6 their:15 intermediate:12 rates:5 too:5 calculations:10 iau:1 molecular:2 final:1 observations:6 shifted:1 fraction:11 relationship:1 vandenberg:4 explanation:1 helpful:1 accurately:1 immediate:1 assumption:2 part:3 gyr:37 somewhat:1 authors:1 suntzeff:2 progenitors:2 undoubtedly:1 than:37 merged:1 population:75 diffusion:3 wide:2 scheme:1 gradual:1 episodic:1 showed:4 surrounding:1 double:9 require:6 zero:3 modelled:2 ranging:1 appealing:1 determined:7 contrary:1 flynn:1 aas:1 were:20 toward:1 minus:1 sills:4 enhancement:7 exhibit:2 lowest:2 astrophys:1 look:1 generation:1 modern:1 turned:1 spectrum:1 curves:1 tsujimoto:3 already:1 environments:1 substantial:3 headings:1 increment:1 need:2 seen:10 seem:3 confirms:1 20m:1 clearly:4 relatively:1 acceleration:3 lie:3 attributable:1 depending:2 latter:2 responsible:1 lattanzio:1 gravity:4 mechanism:3 note:8 majority:14 fitting:2 without:1 take:1 interior:2 so:9 many:2 differently:1 surf:1 blue:16 pagel:2 towards:2 multiple:1 horn:1 populate:4 normal:4 who:2 reach:2 took:3 caputo:1 most:5 regular:1 bolometric:1 amongst:1 accordance:1 formulae:2 pair:1 alpha:1 homogeneous:14 rhb:4 extremely:3 enrichments:2 flam:1 latex:1 deviations:1 subtracted:1 consequences:3 balbi:1 considered:2 average:5 later:4 metal:17 inferred:7 deuterium:1 ferraro:9 points:1 sohn:2 gyrs:3 caloi:2 velocity:1 effect:4 justify:1 fact:2 applied:3 subpopulations:1 atmosphere:1 24m:2 solar:7 show:10 blueward:1 prantzos:1 fenner:1 rotating:1 implying:3 attempts:1 inconsistent:2 king:3 opal:3 especially:2 find:13 blanco:2 ground:1 rev:1 giant:8 removed:1 ratio:3 parameters:8 ngc:1 merger:1 zahb:29 explain:4 original:4 proportion:1 enough:1 start:2 should:7 being:9 only:19 comparison:3 corresponds:3 rich:30 wooley:2 bergbusch:2 adequate:2 castelli:1 local:1 achieve:1 radically:1 giants:1 do:14 predict:5 mixture:2 therefore:3 accreting:1 vary:1 de:2 expectation:1 da:2 ones:1 containing:1 listed:2 aforementioned:1 distinctly:2 combinations:3 during:1 boundary:1 alexander:3 evolution:8 breach:1 ascending:1 seemed:1 luminosity:11 arxiv:1 comprising:1 yield:3 summary:2 cool:3 investigate:1 pasquini:1 common:1 though:6 contain:2 fainter:5 ohio:3 counted:1 discussing:1 approximations:1 rms:124 herwig:2 set:1 computed:2 physically:2 lifetimes:2 maximum:2 observed:22 see:12 individual:1 radius:2 result:7 enhanced:4 clem:2 close:5 luminous:6 disconnected:2 best:3 subject:1 potential:1 parent:2 nuclear:1 diluted:1 ventura:3 symmetric:1 macros:1 state:8 various:7 use:6 between:11 drawn:1 neither:1 conditions:1 discovery:1 gives:1 salaris:1 triplet:1 recently:1 reproduced:2 relative:3 nature:2 weinberg:1 limongi:1 however:4 yoon:1 rapidly:1 spectroscopic:2 rapid:1 hypothesis:2 carbon:1 fukugita:2 tuc:1 come:1 distribution:9 allard:2 topology:1 concentrated:1 both:18 contrasted:3 last:2 kluwer:1 σm:5 cox:2 region:8 helioseismology:1 explore:1 against:4 called:1 stauffer:2 sensitive:1 merging:6 tout:5 interesting:1 beyond:1 mean:12 rodgers:2 nearby:1 reside:1 pre:1 cm:1 conclude:1 color:8 seems:1 ca:7 period:1 whatever:1 represented:1 maintained:1 homogeneously:1 simply:1 weiss:4 spans:1 sequences:12 wider:1 associated:1 throughout:1 000k:1 macdonald:1 unusual:2 light:1 described:3 transformations:1 second:2 basis:1 addition:1 create:4 due:6 been:14 l83:1 isochrone:11 much:5 combined:2 progenitor:2 expected:9 ph:4 joo:2 hardly:1 estimated:1 exhaustion:1 define:2 settling:1 bhb:2 corresponding:7 deeper:1 reaction:1 ages:2 formed:5 6m:1 argument:1 hayashi:1 bms:138 cent:1 lives:1 external:1 univ:2 ours:2 prescription:3 evidence:2 terndrup:5 those:4 case:27 intriguing:1 antona:6 resides:1 nishikawa:1 pollute:2 mbol:7 yrec:3 value:10 choices:2 lesser:1 near:5 croke:1 replaced:1 bounds:1 behavior:1 error:2 situation:1 taking:2 procedure:2 manner:2 versus:1 larger:4 comments:1 almost:2 characteristics:1 thus:7 surface:5 ii:8 cluster:10 itself:3 attributed:1 conf:1 insensitive:2 convection:1 helium:120 concentration:1 diagnostic:1 failed:1 l125:1 different:11 momany:4 develop:1 l81:1 l57:1 perform:2 pecci:2 make:3 coexisting:1 admit:2 same:6 any:3 shorter:2 sollima:13 skillman:2 dickens:2 largest:1 resulting:1 several:5 composition:3 neutron:1 higher:4 evolve:2 calculation:3 investigated:2 http:1 peaks:3 kelvin:1 upon:7 differing:1 ferguson:3 devoid:1 levels:4 v5:1 kim:3 adopting:1 recent:3 costa:3 lower:6 off:5 whose:1 scenario:18 fully:1 makes:1 variety:1 well:4 remain:1 analysis:2 peculiarities:1 edge:1 representing:2 sets:1 quantitative:1 model:16 arising:1 possesses:1 ortolani:1 latest:5 zinn:1 enormously:1 proposed:11 less:6 hypothesized:3 when:7 loeb:3 numbering:1 sources:1 identify:1 predicts:1 spherically:1 campbell:1 alternative:2 yet:1 smith:1 based:6 web:1 dropped:1 preprint:4 timescale:2 han:1 conclusions:2 point:9 had:1 exclusively:1 discuss:1 apjs:6 source:1 rgb:13 spread:1 treatment:1 location:4 extensive:1 ruled:1 plasma:1 remaining:1 generalized:1 identical:1 photo:1 increased:2 lacking:1 regard:1 thicker:1 possible:7 cf:1 possibly:2 cruz:2 five:1 know:1 press:1 using:29 advanced:2 prominent:1 generated:1 loss:62 necessary:3 like:4 excluding:1 identifying:1 cooler:1 alternatively:2 qualitative:1 yields:5 either:2 always:1 kawasaki:2 reduced:1 therein:1 circles:5 www:1 routines:1 old:1 teff:4 classical:1 sequence:29 shigeyama:1 some:18 catelan:5 delahaye:1 certain:3 calculated:18 erase:1 gilmore:5 mixed:1 differentiate:1 statistic:10 unless:4 opacities:4 bell:1 provided:1 scale:2 maeder:2 bottom:3 scalo:8 highest:1 shall:4 extensively:1 overlap:2 polluted:33 contrast:2 does:5 assuming:4 refer:1 core:14 columbus:1 gruzinov:2 indicated:1 plot:5 performed:1 neutrinos:1 equivalent:5 l1:1 aj:4 bi:1 pinsonneault:8 stellar:35 how:1 host:1 symp:1 hst:6 instability:7 stay:1 spectroscopically:2 earlier:4 hiding:1 trgb:26 about:11 angeli:1 oh:1 choi:3 discussed:5 dependence:3 o:7 compatible:1 range:12 plus:3 greatly:1 reimers:2 discusses:1 slightly:2 obs:2 pollution:23 credible:1 heavy:4 cambridge:2 metallicities:3 burning:1 presence:4 previously:1 communication:2 zones:2 within:5 stratification:1 three:2 down:1 royal:1 appropriate:3 because:1 references:2 lyrae:11 primarily:2 strip:7 improved:1 vitense:3 hesser:1 bahcall:7 75m:1 methods:1 bedin:6 statistics:1 van:3 log:4 few:4 assumed:4 initial:6 question:1 long:4 dispersion:5 width:1 anderson:2 ehb:3 low:4 stars:213 irrespective:1 2m:4 l139:1 was:16 assumes:2 karakas:3 function:6 considerably:1 medium:1 serenelli:2 elsewhere:1 form:3 forming:3 differences:9 removes:1 but:14 gaussian:2 astro:4 repeated:1 construction:1 ended:1 survived:1 magain:1 hb:52 salpeter:5 line:3 kraft:2 hottest:1 he:1 count:1 absent:2 made:1 compute:2 rogers:4 apj:36 born:2 whether:2 gravitational:4 portinari:2 variations:2 up:7 us:4 until:3 dordrecht:1 below:4 limit:2 observation:2 unusually:1 problem:3 similar:13 odds:2 expect:1 detailed:1 ohm:3 hotter:1 computing:1 defined:2 steady:1 abstract:1 contribute:1 deep:2 general:1 single:5 referee:1 lifetime:2 modeling:1 chiosi:1 distributions:1 triangles:4 physical:1 redder:4 again:1 extending:2 compared:9 no:8 amounts:5 dashed:1 whereas:2 ejected:1 tip:5 detail:1 field:2 other:2 details:1 branch:13 department:1 out:5 swenson:1 piotto:11 conclusion:3 poor:11 elements:2 star:22 separate:1 models:56 drag:1 includes:1 renzini:2 metallicity:20 important:1 nucleus:1 peak:1 studied:1 included:2 hanson:2 marconi:1 astronomy:3 structure:2 prepared:1 constant:1 younger:7 implies:4 haven:1 algorithm:1 assume:2 values:6 age:35 required:11 accretes:1 agb:13 together:1 having:1 implied:3 mass:129 chieffi:1 back:1 time:8 push:1 serious:1 accreted:14 starting:4 enrichment:6
0704.2638.txt |@word gt:2 consider:11 pointing:1 maximum:2 induces:4 fa0:1 global:6 results:3 invent:1 illustrated:1 obstruction:3 p01:2 proposition:25 computation:2 transversally:1 consists:2 follow:2 disk:11 centers:3 compact:19 whose:6 inverse:1 tx:1 tv:3 description:1 equivalence:1 2fb:3 containing:1 excepting:1 uniqueness:1 indicate:1 aut:1 elliptic:5 stable:22 rham:1 presentation:1 forbidden:1 pontrjagin:1 ta:2 case:32 conjecture:1 provides:1 abelian:1 orthogonal:1 very:7 bilinear:1 ηij:2 induce:5 splitting:7 barlet:4 corollary:15 valued:3 every:15 moishezon:1 formula:2 compacte:1 ui:5 exact:9 condition:5 treating:1 leads:1 rea:1 riemann:4 cmi:2 p02:2 irreducible:8 notes:1 list:1 solution:1 t0:2 leave:1 l2:2 vector:7 min:2 2l2:1 plain:1 small:6 shows:10 peters:1 smaller:2 neighborhood:6 grateful:2 lecture:1 fibres:3 direct:1 second:11 fiber:2 zx:1 pass:1 reine:1 odd:3 canonical:8 even:2 index:1 errors:1 plays:2 stands:2 bo1:2 bo2:2 pic0:5 tohoku:1 pui:1 version:1 en:1 sur:3 above:5 referees:4 values:3 nicholas:1 method:3 etriques:1 stabilizer:1 completion:2 full:1 degree:9 fibre:2 respectively:10 applies:2 hitchin:12 oeljeklaus:3 here:5 canonically:1 identifications:1 les:1 tangent:4 groups:1 address:1 represented:1 te1:3 te2:2 z0:3 z2:17 deduced:1 obtained:11 remark:8 sobolev:2 divisor:4 algebra:1 pict:44 my:1 study:1 joliot:1 homeomorphism:3 contradiction:2 φr:5 ampleness:1 adv:1 usually:2 finer:1 deg:1 quotient:4 via:5 useful:2 ii0:6 family:13 apr:1 inducing:2 namely:1 iz:2 equivariant:1 composes:1 des:2 tools:1 research:2 kobayashi:13 donaldson:8 use:4 would:11 prove:8 remains:2 positive:6 mst:30 bundles:62 negative:2 germ:2 error:1 almost:1 linear:2 noting:2 examination:1 therefore:31 means:1 simpler:1 type:3 theoretical:1 more:5 flat:6 grauert:1 formally:2 th:1 okonek:1 immersion:1 becomes:3 operators:2 under:7 curvature:2 author:1 surjection:2 fibr:1 semicontinuity:2 far:1 particular:8 known:5 projective:2 hold:1 must:7 me:2 account:4 isomorphism:21 ma:1 mc:2 ih:2 recall:1 equation:2 work:1 det:19 reproduce:1 isomorphy:1 obvious:3 codimension:1 ms:19 following:13 dea:1 root:2 institute:1 proof:37 claim:4 compare:2 memoirs:1 lρ:18 loci:1 suggestions:1 respective:1 publications:1 assumptions:1 caused:1 hyperplane:1 picd:4 yang:2 information:1 needs:1 compactify:2 rather:1 verify:1 acts:1 kronheimer:1 meromorphic:2 write:2 maps:3 nontrivial:7 criterion:2 pure:1 es:1 hermitienne:1 parameter:1 priori:1 map:29 fr:1 neighbor:1 singular:3 may:1 max:1 indicating:1 singularities:2 different:1 diagram:6 fa:6 fb:1 inst:1 cech:1 fits:1 fi:2 horizontal:5 parallel:4 hoc:1 short:2 natural:9 effective:3 sets:1 chern:11 lines:1 descends:1 su:10 element:5 their:4 generic:2 so:18 fundamental:2 sl:5 putting:2 order:2 restriction:4 commutator:1 hom:3 a02:1 indeed:9 over:8 a01:2 di:4 satisfied:1 interpreted:1 stability:3 course:1 paper:2 through:3 preliminary:1 signs:1 mentioned:1 existence:5 satisfies:2 still:1 vari:1 its:8 roots:5 le:1 group:13 thank:2 ext1:1 how:1 chosen:2 picard:3 fix:3 affine:5 translation:1 varies:1 li:2 bu2:2 choose:6 tors:9 derivative:4 τt:3 main:7 defining:2 h0:4 ly:4 correspondence:14 homeomorphically:1 non:48 h1:2 material:2 cover:4 elementary:1 framework:3 xd:1 they:3 oxford:1 singularity:1 now:7 discuss:1 biholomorphically:1 ba2:2 easily:7 term:3 gets:5 stated:2 x0:1 invariants:1 splittings:1 classified:2 identified:5 sufficiently:6 filling:1 inequality:1 component:7 l0:3 each:3 crossing:3 references:1 universit:1 difficult:4 2h:5 side:1 last:1 subset:2 el:44 lifted:1 arxiv:1 ei:10 classifying:5 t2:1 ea:4 idea:5 ec:5 bijective:1 literature:1 ey:12 obtains:4 fine:2 our:15 differ:1 special:1 er:42 lt2:4 lt1:15 dominates:2 space:63 since:17 crucial:2 blp:2 denotes:2 perturbing:1 contained:4 rational:5 eor:1 denoted:1 dolbeault:8 induced:9 suffices:8 correct:1 math:15 rk:3 triviality:1 provide:1 theory:8 misprints:1 qf:3 strata:1 free:9 standard:3 admits:2 assures:1 completely:2 base:1 complicated:1 preparation:1 ven:1 asd:7 put:6 publ:1 e1:1 compositions:1 e2:1 definition:2 pairs:2 geometry:6 could:2 algebraicity:1 ahler:1 int:1 target:1 hence:11 mills:2 first:15 origin:1 indebted:1 equivalently:1 symmetry:1 end0:24 nc1:2 variables:1 number:1 rank:12 system:5 vectoriels:1 simplified:2 directly:1 degg:36 carry:1 impossible:1 precisely:5 open:22 several:2 hood:1 given:6 minimality:1 similarly:1 introduction:3 adjoint:1 cˇ:1 tata:2 kod:2 needed:1 assumption:3 noticed:1 statement:4 submersion:1 structures:5 easier:1 gives:7 holomorphic:56 shell:4 m0:11 py:1 continuous:1 proving:1 part:9 gluing:1 eliminated:1 than:4 coefficients:2 cochain:1 third:1 msri:1 holds:3 split:5 depends:2 project:1 zx0:4 classes:4 eriques:1 ia1:1 minus:1 bination:1 projections:3 pointed:4 san:1 generality:1 involution:2 matei:1 ann:4 concludes:1 argument:3 curves:21 correspond:3 endomorphism:1 angew:1 parameterized:5 conjugate:1 need:1 st:1 any:19 contents:1 lie:2 zero:3 depending:1 destabilizing:2 lim:4 self:2 fourier:1 note:10 instance:2 generalized:1 new:1 coincide:2 subject:2 circles:3 closer:1 begin:1 multiple:1 trace:3 opposite:1 projectively:4 object:1 metrics:2 most:2 tl0:1 connected:7 meromorphically:1 automorphism:1 parameterizes:3 reducible:11 filtration:1 segment:2 class:51 check:1 sub:2 volume:1 fji:3 calif:1 give:2 neighborhoods:1 torus:2 sometimes:1 coincides:2 inoue:1 curie:1 points:11 principle:2 kx:13 h2a:1 section:12 dot:2 miyajima:1 precise:1 phenomenon:1 show:6 reductions:2 isomorphisms:5 notations:6 purely:1 spaces:10 gauge:8 solutions:6 campana:1 skoda:1 dimension:12 trivial:18 find:3 d0:3 principal:1 aρ:2 symmetric:1 finally:1 based:3 ba1:2 izv:2 situations:1 explain:2 boundary:1 topological:6 should:2 analytic:2 only:21 princeton:1 factor:1 parabolic:1 integrable:6 circle:6 kahler:1 local:5 hopf:1 hope:1 pj:4 do:4 his:1 dk:3 get:13 df:2 dg:2 de:4 ηji:1 cannot:12 mred:8 words:1 invariant:2 du:2 ahlerian:8 αk:1 differentiating:2 kindly:1 closure:2 regarding:1 transversal:2 reis:1 endomorphisms:2 differential:3 yield:2 acknowledgments:1 nakamura:1 contain:2 london:1 fixed:9 riemannian:1 kernel:3 moduli:47 set:16 modulo:4 ser:1 exists:10 surjectivity:1 frame:1 banach:1 module:1 2πih:1 connections:20 majoration:1 see:25 alg:1 result:7 ignores:1 discussions:1 techniques:2 surfaces:27 appear:1 satisfying:3 pictures:1 irr:2 definite:1 boundaries:2 identification:2 ular:1 closed:19 between:4 probably:1 geometric:5 conditions:3 kuranishi:2 available:1 sections:2 notice:1 restricting:1 vertical:6 missing:3 injectively:2 complement:1 uj:3 however:3 fki:1 vanishing:5 inclusions:1 hypothesis:4 2kz:1 subgroup:3 article:2 ker:5 topology:1 suggested:1 both:9 essentially:2 improved:1 forme:1 limits:1 σl:2 many:2 taking:5 la:1 fkj:1 summands:1 connection:15 dl0:3 instanton:1 embedding:2 lo:2 comm:1 fixing:1 com:1 sheaf:3 comes:2 otherwise:2 ci:6 ch:1 co:1 cn:1 torsor:1 point:23 simple:18 cohomology:12 harmonic:2 eminaire:1 dimensional:1 variety:2 simply:2 adding:5 right:1 table:1 cq:14 throughout:1 coker:1 separable:1 torsion:8 kernels:1 described:1 publishing:2 basis:1 union:9 px:3 locally:4 vii0:1 copies:1 been:4 strategy:2 ting:1 ai:1 much:3 pf:4 treat:1 interest:1 kodaira:1 morphisms:3 pn:1 universal:3 empty:6 define:6 cohomologically:1 determinant:5 families:4 concerning:2 stratum:2 subspace:10 gap:1 0c:4 coherent:1 andrei:2 understand:1 representative:2 mail:1 c2:12 c1:30 careful:2 formes:1 spirit:1 manifolds:4 applied:1 compatible:1 p1:2 unlike:1 1dimensional:1 value:1 deformation:4 will:18 nakai:1 near:2 suppose:5 compactness:4 none:1 bogomolov:5 revisited:2 property:1 a20:8 maximal:2 unitary:5 played:1 epimorphism:1 endowed:2 metric:12 ir:1 4c2:1 instantons:5 surface:34 ii:23 disjoint:6 cocycle:3 im:3 dual:2 ebriques:1 aspects:1 vanish:7 id:8 sheaves:1 compactified:2 gieseker:1 filtrable:36 lemma:10 fibers:1 pushforward:1 belong:2 admit:3 same:5 intersecting:1 complex:37 arguments:1 proved:1 finite:3 composition:3 higher:1 independent:2 used:2 infinity:1 imply:1 grassmann:1 numerical:1 hand:4 action:7 uses:2 purpose:1 supposing:1 cr:10 collar:2 identity:5 subspaces:2 multiplicities:1 lower:1 suitable:3 center:6 mention:1 versal:1 teleman:7 well:3 analysis:1 obviously:7 components:3 studying:1 model:2 picc:21 possesses:1 left:3 spherical:4 world:2 mapped:2 manifold:11 just:9 evy:1 being:1 subsheaf:4 obtain:1 rest:1 ne:1 underlying:2 λg:3 thanks:1 immediately:2 alternative:1 glue:1 yet:1 previous:2 contradicting:2 oriented:3 unique:11 classification:6 generator:3 regarded:3 had:1 except:1 injective:2 appeared:1 belongs:4 extends:2 holomorphes:1 easy:2 theorem:23 constant:7 scientific:2 take:1 real:5 evaluation:1 around:5 represents:2 delhi:1 possible:2 corresponds:1 possibly:3 ej:3 background:2 press:2 using:7 ams:1 intersection:3 moreover:3 string:1 injectivity:3 necessary:1 follows:20 reduces:3 disks:4 enriques:1 representation:2 automorphisms:1 δl:11 continue:1 yields:2 either:6 always:7 multiplicative:1 anti:2 works:1 introduce:1 δt:9 because:23 eme:1 methods:3 classical:1 sequence:8 pierre:1 choosing:1 potier:1 understood:2 zheng:1 b1:6 b2:23 respect:5 qϕ:4 extended:1 proofs:3 zariski:4 happens:1 vol:2 dense:1 striction:1 univ:4 normal:3 hodge:1 2c1:5 comments:1 ume:1 does:5 decomposition:3 summand:3 roch:2 intersections:2 proc:1 minimal:6 measures:1 ba:4 bl:2 kyoto:1 equivalent:3 arbitrary:2 hulek:1 rue:1 step:1 ducible:1 chow:2 tautological:1 properties:5 after:2 quotients:1 diego:1 passing:2 une:1 central:2 extension:11 algebraic:11 france:1 theorems:3 idr:1 latp:1 o:24 fibrewise:1 practical:1 yau:2 a2:2 extensions:4 oy:3 ox:1 uhlenbeck:2 toma:3 transitive:1 slightly:1 morphism:29 soc:1 contains:7 statements:1 presence:1 h2:1 into:6 bu1:4 numerically:11 isomorphic:11 usual:1 locus:6 pair:1 hermitian:26 square:7 bicanonical:4 einstein:9 operator:4 valuable:1 next:2 explaining:1 existed:1 newstead:1 van:1 buchdahl:4 springer:1 there:15 long:4 why:1 quadratic:1 encouragements:1 institue:1 way:7 forward:1 polystable:7 was:7 naturally:3 holomorphically:2 complete:5 form:15 gauduchon:12 analyse:1 but:8 σt:1 change:1 expected:1 cedex:1 construction:3 cycle:1 line:42 divisors:2 partially:1 ji:2 δl0:1 ux:1 embedded:2 whether:1 compactification:4 smooth:17 up:6 differentiable:4 bijectively:3 below:1 limit:1 sum:1 ussr:2 signes:1 problem:2 marseille:1 called:3 ωg:4 aa:8 kh:2 associated:12 ad:1 computing:1 defined:15 certain:2 abstract:1 pic:44 am:3 direction:1 lyz:3 general:11 pix:2 substantially:1 single:2 ar:35 exist:7 eom:1 corresponding:10 mrs:1 dβ:1 proceeds:1 four:1 defines:11 again:3 pω:3 integrability:1 no:19 na:2 whereas:4 nc:5 when:24 vanishes:9 barth:1 other:4 role:3 details:1 branch:3 mathematics:1 vanished:1 out:1 picture:2 briefly:1 ll:1 denote:10 a10:1 anticanonical:2 problems:1 bundle:62 a1:3 a0:15 important:7 bounded:2 linearization:1 provence:1 structure:16 ago:1 implies:4 assume:1 physics:1 factors:1 curve:19 orbit:2 together:2 semistable:4 factorizes:6 fact:7 image:2 time:1 push:1 requires:1 having:1
0704.2640.txt |@word represent:2 managed:1 consider:3 global:1 results:2 four:2 antennas:2 edu:1 morphology:2 follow:1 disk:1 compact:8 arcsec:4 afonso:2 accounting:1 program:1 contours:4 under:1 atlas:5 include:1 narrabri:3 indicating:1 starbursts:1 applied:2 amplitudes:3 mpc:1 straightforward:1 very:4 kewley:3 tends:1 every:1 difficult:1 fall:1 minute:1 presented:1 correct:2 large:3 team:2 small:3 aeronautics:1 unexpected:2 consistent:2 consists:1 rate:3 pasp:1 further:1 20cm:1 spectral:3 index:2 imported:1 norris:10 giving:1 ned:3 current:1 experiment:4 above:1 tingay:1 international:1 ever:1 acknowledgments:1 edited:1 full:1 whose:1 placing:1 spacing:1 here:3 understanding:1 hours:1 reported:1 objects:4 groups:1 active:7 ratio:1 strong:6 observing:1 appears:2 difmap:4 box:2 convert:1 ultra:1 institute:2 larger:1 funded:1 host:5 through:1 significantly:2 suggests:2 resulting:4 published:1 california:3 elongated:1 prints:2 spatially:1 classification:1 scales:1 apr:1 marginal:1 merely:1 photometric:1 apj:2 names:1 frame:1 extinction:2 philip:1 readily:1 conventional:1 cosmological:1 would:5 distinct:1 h0:1 faint:6 call:1 therefore:5 vi:1 taken:1 scope:2 australian:1 type:1 marginally:1 more:1 extent:2 ejected:1 conclusions:1 starburst:3 emission:11 visibility:3 confused:1 unobscured:1 short:2 particular:1 known:3 central:1 cases:1 producing:1 sample:1 hour:1 shielded:1 science:2 mn:1 reproduce:1 values:2 evolved:1 making:3 example:1 history:2 control:1 compare:1 figures:1 figure:10 scan:7 stacking:1 attribute:1 suggestions:1 epping:1 high:10 performed:1 magnitudes:1 blvd:1 reynolds:1 information:1 end:1 varied:2 s1:2 regions:2 far:1 hot:1 unquestionably:1 consist:2 significant:1 place:2 priori:1 circular:1 galactic:3 spitzer:8 seds:1 may:3 tool:1 catalog:1 produce:6 data:21 pc:1 lumsden:1 atnf:3 effective:1 beam:8 ghz:2 cosmology:2 accelerated:1 so:4 discussion:1 mjy:24 typical:3 wavelengths:5 evolutionary:1 elais:1 countless:1 over:4 undetected:2 years:1 produced:1 combinations:1 paper:1 including:5 ifrs:15 its:7 galaxy:11 fir:1 style:1 derive:1 rapidly:1 thank:2 acknowledge:1 interesting:1 facility:3 detected:11 degrees:2 fig:1 might:1 image:15 overcome:1 tentatively:1 them:1 hawthorn:1 they:7 half:2 n06:11 densities:4 represents:1 february:2 hereafter:1 brightness:3 always:1 university:4 classified:1 identified:3 sufficiently:2 fringes:3 chandra:1 each:6 frii:2 found:4 entirely:1 higher:1 erratic:1 heavy:1 square:1 telescope:8 undetectable:1 series:1 energy:1 abnormal:1 used:2 catching:1 expect:1 calibrate:1 our:9 operation:1 beyond:2 out:3 shown:10 papers:1 space:2 surrounded:1 forty:1 research:2 increase:1 dominated:3 vlbi:28 suggesting:1 integrated:2 shows:2 clustering:2 asp:1 linear:2 confidence:1 galaxies:23 given:1 possibility:3 quite:1 abnormally:2 swinburne:3 detecting:2 telescopes:1 atd:1 unresolved:3 jet:1 determining:1 could:4 transition:2 cosmic:1 confident:1 keep:1 conducted:1 iso:1 wright:2 unknown:1 corrections:3 loud:6 south:1 exotic:1 initial:1 highluminosity:1 powerful:1 array:4 koekemoer:1 sutherland:1 angular:2 size:4 surveys:1 necessarily:1 temperature:2 likely:1 introduction:1 twenty:1 system:1 least:1 their:3 station:1 observations:9 national:4 too:3 excellent:1 relationship:1 postgraduate:1 completed:1 took:1 lists:1 optical:2 than:5 wide:1 urry:1 target:3 showed:1 ipac:1 sections:1 mbps:1 resemble:1 imply:1 submitted:1 ranging:1 classes:2 amplitude:1 were:16 gives:1 steep:1 swire:8 spectrum:1 deller:2 lba:1 buried:1 quasars:2 unaffected:1 clearly:3 ray:1 angle:1 self:2 able:1 complexity:1 note:1 fitting:1 pivotal:1 attempted:1 switching:1 highredshift:1 even:3 normal:5 collaboration:1 object:4 victoria:1 most:3 involving:1 printed:1 sfh:1 phase:2 future:1 measured:12 class:5 latex:1 especially:1 surprising:1 km:1 sf:1 electrons:1 principle:1 left:4 parkes:2 particularly:1 show:1 text:1 supported:1 infrared:13 implying:4 bright:2 agn1:2 radio:42 superimposed:1 corner:1 mopra:1 help:1 based:2 quoted:1 parameters:1 explain:1 less:5 should:1 failed:2 only:7 relator:1 local:2 astronomical:1 boyle:1 shepherd:2 mobasher:1 distance:1 abnormality:1 agns:3 cannot:2 longest:2 words:1 new:2 report:1 during:1 interpreted:1 unfortunately:1 evolution:4 continuum:1 transitional:1 luminosity:11 arxiv:5 remove:1 dopita:1 experiments:1 activity:4 uncover:1 rms:2 ser:1 reference:1 imposing:1 sensitivity:7 detection:10 differs:1 sed:2 result:1 operated:1 close:1 techniques:2 detect:2 extragalactic:2 propulsion:1 middelberg:3 µm:1 enough:1 unable:1 identification:1 phased:2 between:4 ωm:1 across:2 discovery:1 available:3 basis:2 comparable:1 ability:1 do:2 nature:2 weak:2 however:5 valuable:1 key:4 fluctuations:1 distinguish:2 configuration:1 aim:1 both:2 cor:1 last:1 limits:1 many:1 region:1 6µm:3 contract:1 enabling:2 sensitive:2 0f:1 variance:1 otherwise:1 among:1 separation:1 cm:1 conclude:2 ca:1 period:1 community:1 hobart:2 simply:3 configured:1 table:6 lies:2 unusual:1 µjy:2 discriminant:2 west:1 fri:1 three:3 been:4 extraction:1 reduction:2 much:1 expected:1 ph:3 po:2 systems:1 obtained:2 corresponding:1 qso:1 else:1 understand:1 angles:1 astron:1 standard:1 3c273:6 case:3 classifications:2 supernovae:3 reliable:1 single:1 remaining:1 will:2 dusty:1 near:4 error:1 balance:1 unlikely:1 uncertainty:1 characteristics:2 calculator:1 ir:1 explanation:1 non:3 conf:1 seen:1 technology:3 different:1 baseline:4 perform:1 suggest:2 make:1 administration:1 same:1 any:5 html:1 chancellor:1 survey:9 several:1 jets:2 european:1 extended:7 http:1 effect:1 counterparts:1 hand:1 driven:1 v2:1 moving:1 scale:1 dust:4 changing:1 cycle:1 dark:1 lower:5 task:1 center:1 database:1 no:3 well:2 analysis:3 calibrated:1 consistency:2 position:2 latter:1 consisted:1 just:1 heavily:1 being:1 quasar:4 observed:6 rest:1 mid:1 sources:26 intervals:1 identify:1 regardless:1 yet:1 sampled:1 now:1 widest:1 density:24 had:2 bailes:1 source:31 pasadena:1 cdfs:1 extensive:1 baselines:13 resolved:4 australia:9 march:1 masquerade:1 bands:1 showing:1 observationally:1 absence:1 possible:4 early:2 kpc:2 five:1 mon:1 atca:8 using:8 bit:1 name:2 scarpa:1 like:4 alternatively:2 flux:34 mhz:1 either:5 cygnus:4 output:1 reduced:1 csiro:3 twelve:1 www:1 because:5 often:1 classical:1 calibrator:7 tells:1 some:4 imaged:1 strongest:1 redshifts:3 images:2 happens:1 total:9 measurements:1 recorded:1 per:1 does:1 assuming:2 greyscale:1 visibilities:1 closely:1 restoring:1 measuring:1 core:10 who:1 scientific:1 power:2 slight:1 equivalent:1 continuing:1 use:3 step:1 although:1 plots:1 obscured:4 properties:1 stage:1 about:7 rare:2 usa:1 extending:1 universe:4 fringe:2 discussed:1 o:2 range:1 tailed:1 insufficient:1 efforts:1 slightly:2 software:2 commonwealth:1 soc:1 contains:1 final:1 redshift:14 into:1 within:2 ucla:1 included:3 right:3 references:1 determine:1 steven:1 dowd:2 reducing:1 ellipse:1 nsw:1 unambiguous:1 span:1 area:4 there:2 question:1 transform:1 long:4 detectable:5 low:5 way:3 astrophysics:2 was:8 formation:6 interferometry:2 function:2 relic:1 forming:4 but:10 astro:4 goals:2 cram:1 tasmania:1 removed:1 partially:1 made:2 scholarship:2 places:1 whether:2 characteristic:2 uv:1 up:1 us:4 placed:1 below:3 frequency:1 limit:2 spectroscopy:2 unusually:1 distribution:2 stages:1 minutes:2 hz:4 abstract:1 aj:3 moved:1 deep:2 lobes:5 file:1 laboratory:1 lifetime:1 distributions:1 regime:1 antenna:7 calibration:6 whereas:1 field:2 other:5 heisler:1 spatial:1 lonsdale:2 aips:3 conclusion:1 draw:1 star:9 separate:1 models:2 includes:1 generated:3 important:2 nucleus:2 peak:9 chris:1 polarisation:1 structure:5 agn:23 correlated:7 factors:1 rule:2 nasa:1 adam:1 cores:2 nuclei:2 resolution:1 ωvac:1
0704.2641.txt |@word pointing:1 lack:1 existing:1 four:2 dish:1 asiaa:1 causes:1 compact:1 young:6 under:1 asteroids:1 advantage:1 very:2 frequencies:2 worst:1 figs:1 fall:1 minute:2 entire:1 level:1 12th:1 hawaii:1 cma:1 large:3 vector:1 red:1 team:1 small:2 venus:2 20th:2 holography:1 zero:1 noise:1 pasp:1 tangential:1 correlator:2 further:1 calibrators:2 even:2 papa:1 current:2 experiment:1 above:2 international:1 sixfold:1 residual:2 water:3 beacon:3 operating:1 galilean:1 directions:1 iras:1 along:1 strong:7 obtained:3 institute:2 larger:1 marrone:2 published:1 usually:1 fourier:1 plotted:1 composed:1 prints:2 apr:1 integrations:2 marked:1 highly:1 apj:2 moran:2 counts:1 plot:3 use:1 usb:1 working:1 taken:1 theoretical:1 flat:1 diurnal:1 successful:1 emission:1 visibility:1 commissioned:1 antennas:4 central:1 must:1 stabilized:1 work:1 itself:1 evolved:4 averages:2 cryostat:1 reflector:1 figure:1 december:3 menten:3 saito:3 high:4 orion:3 numbers:1 sis:1 rather:1 american:1 regions:2 located:1 hot:1 christensen:3 instead:1 galactic:1 description:1 may:1 after:3 derived:1 millimeter:2 spectrometer:1 data:4 response:1 jcmt:1 short:2 beam:1 backup:1 spectra:1 sw:1 yielding:1 ghz:22 green:1 subsequently:1 vapor:1 order:1 g10:1 wavelengths:1 produces:1 september:3 astronomical:3 meter:1 installed:1 stability:1 thermal:1 including:1 yamaguchi:1 fit:1 submillimeter:3 lo:1 late:3 detected:6 systems:1 image:5 eventually:1 good:1 hya:1 hunter:5 band:9 milestone:1 now:1 easily:1 presented:1 capability:1 fringes:4 each:1 2m:2 inserts:1 telescope:1 doing:1 interferometer:2 frequency:6 year:1 substantially:1 our:1 shown:5 oteborg:1 space:2 since:2 re:1 sma:7 shows:1 fiber:1 precipitable:1 formation:2 imaging:1 ori:1 unresolved:1 derivation:1 sinica:2 transition:1 days:1 length:1 place:1 first:11 there:2 primary:1 aas:1 channels:1 array:5 temperature:2 introduction:1 system:3 approximately:1 priority:1 observations:5 too:2 serve:1 took:1 astrophysics:5 part:1 july:3 than:1 observatory:2 sections:1 second:1 sweden:1 future:3 amplitude:2 were:11 toward:1 sao:1 rao:2 correction:1 spectrum:2 raw:1 seen:1 saw:1 any:2 wilson:1 self:1 able:1 extracted:1 calibrated:2 so:1 spectral:1 towards:2 arcsecond:1 eight:2 overlapping:1 phase:16 measured:1 8mm:1 observation:1 later:2 cover:1 kl:2 proceedings:1 points:1 sunset:1 radford:1 bulletin:1 fitted:1 planetary:1 atmosphere:1 particularly:1 intensity:1 show:2 colors:1 uranus:3 ground:2 based:1 polarimetry:1 only:3 scans:1 joint:1 made:3 nearly:1 passband:1 during:3 saturn:3 closure:12 continuum:4 aluminum:1 arxiv:5 tuned:2 interspersed:1 predicted:1 16th:1 rms:2 achieved:2 acquired:1 up:2 pads:1 individual:1 result:3 close:1 jy:1 detect:1 pattern:1 currently:1 rings:1 artificial:1 macros:1 moons:2 irc:4 conditions:1 15th:1 available:1 venture:1 receivers:1 initially:2 weak:1 kea:4 harvard:1 carbon:1 configuration:1 barrett:1 both:1 last:1 april:1 receiver:1 nearby:1 adjusted:1 co:5 cm:1 point:1 callisto:5 spans:1 cs:5 table:1 three:5 been:6 mars:1 expected:2 ph:3 fig:20 dots:2 enable:1 maser:2 mauna:4 spie:5 present:1 applied:1 value:1 baselines:5 will:4 while:2 error:2 sandell:2 zenith:2 usable:1 surface:1 evening:1 exterior:1 quasars:1 vy:1 technology:1 l51:1 different:2 baseline:8 lengths:1 make:1 complex:4 several:1 higher:1 status:1 fairly:1 used:3 slightly:1 see:3 kubo:2 v5:1 dust:1 frequently:1 interferometers:1 shortly:1 center:1 well:2 without:1 academia:2 vibrationally:2 position:1 model:1 summer:1 heavily:1 proximity:1 obtain:1 sources:5 bandwidth:1 patel:3 preprint:1 density:3 had:2 source:1 haystack:1 accomodate:1 excited:2 resolved:3 tests:1 elevation:2 increased:1 smithsonian:2 early:2 historic:1 using:7 g34:1 signal:2 flux:2 detections:3 mhz:1 night:2 cooled:1 accessible:1 poor:1 calibrator:2 successfully:1 some:1 jupiter:2 images:1 scale:1 measurements:1 critical:1 provides:1 proc:6 demonstrated:1 core:1 airmass:2 performed:1 convincing:2 bn:2 terahertz:2 symp:1 although:1 found:1 approximating:1 prepared:1 noisy:1 actual:1 getting:1 dependence:1 o:1 range:1 afternoon:1 sept:2 blundell:3 h2:1 into:1 due:1 down:1 subaru:1 weather:2 references:1 1990s:1 removing:1 initial:1 transform:1 stars:3 biggest:1 was:21 function:3 latex:1 poster:1 but:2 astro:3 repeated:1 construction:1 gain:5 mnras:1 line:14 removed:1 partially:1 october:1 arranged:1 society:1 maximum:1 astrophysical:1 sridharan:2 panels:1 bandpass:2 strongly:1 celestial:1 constant:1 int:1 abstract:1 single:4 planets:2 triangles:1 antenna:1 calibration:6 ne:1 other:2 test:1 tech:1 opacity:5 symposium:1 star:4 problems:1 variation:1 interferometric:2 peak:1 averaged:1 astronomy:2 structure:1 l67:1 4m:1 time:2 far:1 having:1 8th:1
0704.2642.txt |@word abundances:4 code:2 consider:8 illustrates:2 young:2 caused:1 forbidden:9 varying:2 focus:1 produce:2 existing:1 leads:1 quadrature:1 collinge:2 ionize:2 edu:1 go:1 follow:2 expressions:1 abundant:1 gj:1 neglible:1 overplotted:1 certainly:1 menzel:3 depend:3 calculate:9 integral:1 seyferts:1 involve:1 aul:3 charge:9 does:3 those:5 panels:2 te:2 kaastra:3 magnetic:2 qtot:3 detect:2 ionizing:14 g2:2 g1:2 g0:1 very:6 safronova:2 results:17 electron:11 untenable:1 balancing:2 jack:1 mixing:2 affect:3 1s:82 grevesse:2 entire:1 speed:1 induced:1 clouds:1 level:16 who:1 cloudy:3 large:14 demonstrated:1 chianti:2 small:11 λi2:1 equation:17 upper:8 zn:1 smaller:2 trend:2 oscillator:1 consistent:1 estimates:1 direct:3 α2p:6 surrounding:1 second:5 α2s:5 pasp:2 value:9 further:2 storey:1 dere:3 substitute:1 canonical:2 even:1 lesser:1 rate:6 3s:57 section:5 3p:11 near:2 agrees:3 current:2 consistently:2 version:2 dominates:5 above:8 basic:1 masers:1 net:2 increasing:11 apply:2 method:7 exercise:1 temperatures:2 coefficient:3 edited:2 statistically:1 exchange:3 respectively:4 modify:1 here:14 diagonal:1 ionization:30 reported:2 flannery:2 asplund:2 separation:1 others:1 active:2 along:1 strong:1 equations:3 implicit:1 change:5 extreme:1 sausalito:1 zanna:1 involved:1 studied:2 reason:1 commonly:1 suggests:3 chemical:1 consists:1 usually:2 resonance:16 changes:3 plotted:4 blackbody:7 via:6 absorbers:1 although:2 ii2:6 apr:1 requiring:1 vii:7 private:3 highly:2 apj:21 decrease:3 dumont:2 energies:8 support:2 opacities:2 total:2 unit:1 plot:8 use:12 except:2 indicated:1 would:4 may:11 probabilities:22 positive:1 stated:1 predictions:1 next:3 arav:1 predict:1 linear:1 noting:1 andy:1 therefore:1 taken:5 scope:1 panel:11 theoretical:4 more:5 fractions:2 introducing:1 ii1:6 populations:9 clearly:1 becomes:5 delahaye:2 robbins:2 emission:22 warn:1 appendix:5 particular:4 known:2 given:10 must:3 me:2 high:11 mg:2 include:3 ace:1 indicates:1 gabriel:4 originally:1 work:6 flu:3 modified:2 measures:1 dramatically:3 slab:1 πe:1 allende:3 values:15 thin:4 following:3 ness:1 example:3 initial:2 ions:24 compare:2 figure:29 chosen:1 process:1 numerator:3 neglected:5 states:1 collision:4 minimum:1 caution:2 allowed:2 ergs:2 isothermal:1 hydrogen:19 species:2 detectable:2 axis:1 rays:1 strongest:2 varied:1 provide:2 discussion:4 holds:1 length:2 occur:1 regions:3 how:3 varies:2 pure:1 parameter:9 profile:1 seaton:5 galactic:3 steenbrugge:3 wiley:1 derived:4 3rd:1 diagram:3 plane:1 gabel:1 fe:1 b6:1 fits:8 spectrometer:1 intercombination:41 data:4 parallel:2 curve:1 effective:7 interpolated:1 recombination:19 approximation:3 spectra:4 lines:38 st:1 cascade:1 si:2 cannot:1 so:9 contributes:1 allow:1 order:3 nearly:5 wavelengths:4 produces:1 developed:2 over:5 mainly:1 soc:1 thermal:3 kallman:7 including:5 statistical:1 vastly:1 mentioned:2 kinetic:4 still:1 excitations:1 its:3 before:3 observational:1 porquet:7 derive:2 thank:2 fit:1 decay:10 susceptible:1 del:1 baas:1 unexplained:2 exhibits:1 actually:1 detected:4 according:1 ls:1 main:1 might:1 good:3 affected:9 netzer:4 lambert:2 uv1:6 outlined:2 practice:1 fig:7 introduce:1 blumenthal:2 physrefdata:1 effects:10 they:3 half:1 decade:2 now:2 discuss:4 aipc:2 densities:15 represents:1 term:5 shai:1 2p:37 oxygen:24 2s:38 always:1 university:2 presented:3 drake:6 sufficiently:1 magnitude:8 mode:3 each:5 found:3 entirely:2 difficult:1 defects:1 heavy:2 weighted:1 significantly:1 populated:2 series:1 eg:1 ef:11 reduce:1 f1s:1 osterbrock:2 νd:6 a2s:9 increases:8 connect:1 measure:2 quantum:4 blustin:2 transitions:24 tenth:1 out:2 shown:7 ferland:11 jackson:2 badnell:2 fabian:1 space:3 electronic:2 since:3 rev:4 cancels:1 mason:2 increase:4 collisions:10 scaling:1 formula:1 dominate:1 plotting:1 i2:2 theory:1 ast:1 neglecting:2 galaxies:1 pumping:17 asd:1 standard:3 switzerland:1 completely:2 york:1 enhance:1 likelihood:2 log:4 definition:1 worth:1 could:4 transition:32 kriss:1 times:4 turn:1 baldwin:2 dielectronic:4 simulations:1 nist:2 incorporated:1 assumed:2 onto:3 neglect:1 first:6 xi:1 features:1 probability:13 striking:2 omitted:1 number:5 reaches:1 restrict:1 ranges:1 simplified:1 least:2 directly:2 carry:1 reached:1 thick:10 fluxes:2 xv:1 george:2 illustrate:2 1p:19 differ:1 rightmost:2 temperature:17 uky:1 indicate:1 introduction:1 approximately:6 their:4 intermediate:1 rates:6 observations:5 calculations:9 milne:1 recent:1 1l:4 too:2 shifted:1 shell:2 way:2 enhancing:1 pump:1 wavelength:5 johnson:12 explanation:1 l137:1 part:1 jordan:4 authors:2 costantini:2 than:26 coefficients:6 population:4 begins:2 relative:8 beamed:1 ochsenbein:1 unfortunately:1 showed:1 sections:2 database:1 landi:3 see:20 submitted:1 final:1 inversely:2 determined:2 photoionized:7 magnesium:1 iron:14 were:4 toward:1 treated:4 mnras:3 hz:3 wavy:1 ev:3 aller:1 explicit:1 spectrum:2 already:1 say:1 medium:1 astrophysical:2 headings:1 close:1 need:3 seen:3 turner:2 constrained:2 demonstration:1 any:4 ray:21 lie:1 strength:5 apparent:1 pa:1 self:2 able:1 note:8 extrapolation:2 take:1 finding:1 negligible:2 strengths:1 landini:1 begin:1 differences:3 electric:3 trace:1 established:1 track:1 logarithmic:1 denominator:5 systems:1 singlet:4 depths:2 most:1 involving:1 λr:2 significant:6 pradhan:6 measured:1 why:1 volume:5 nebulae:1 reduces:2 considered:4 calculated:8 intrinsic:1 steady:1 km:2 fossi:1 optical:32 electrons:2 soho:1 exp:1 mrk:1 velocity:1 ky:1 typical:2 physics:5 notion:1 fact:3 science:2 nls:1 selection:1 intensity:2 show:5 absorbing:3 text:3 causes:2 derevianko:2 relation:1 solutions:1 goes:1 gov:1 corner:4 especially:1 thickness:1 find:8 zeippen:1 ground:14 impact:6 indicator:6 finally:3 ratio:59 parameters:1 ngc:7 enough:3 should:3 being:3 only:10 candidates:1 factor:8 emitting:1 constant:6 partially:1 ǫi1:12 meant:1 do:4 dl:2 dominant:4 lyα:1 wide:1 dependent:4 vary:2 de:1 designated:1 likely:3 allen:2 abundance:1 ionized:4 fastest:1 l5:1 probably:1 table:3 collisional:13 routine:1 portion:1 processes:4 resolve:1 continuum:37 latex:1 arxiv:1 lexington:1 yield:1 summary:1 sum:1 shull:2 predicted:1 doppler:1 analytical:13 through:3 3d:1 doublet:11 view:1 insightful:1 principal:1 generally:4 turbulent:1 emergent:1 observed:4 differs:1 depends:3 individual:10 result:3 enhanced:1 discussions:1 terms:3 contour:4 best:1 subject:1 closer:1 said:1 nuclear:6 review:2 nebula:1 dipole:5 label:1 macros:1 state:14 future:3 various:1 between:4 intensities:6 conditions:7 law:1 doubly:1 available:2 wimmer:1 comparable:2 triplet:4 recently:1 aas:1 parent:1 defect:2 component:3 pumped:3 hummer:1 however:7 jr:3 incident:4 twophoton:1 hydrogenic:6 distinguish:1 carbon:4 jf:4 come:2 improve:1 both:8 radiatively:3 last:1 many:2 region:5 conclusions:1 equal:3 agree:2 sensitive:2 connection:1 figures:1 planned:1 expression:2 photons:3 nearby:1 detailed:2 presumably:1 relevant:1 cm:24 conclude:1 simple:5 ca:2 corresponds:2 environments:5 2nd:1 na:1 simply:1 decreases:3 cancel:2 observatories:1 considering:5 broadening:2 complication:1 light:2 described:2 perspectives:1 addition:1 radiative:4 due:6 been:9 screened:1 much:8 combined:1 interest:1 stripped:1 indicators:1 bauman:7 deduced:1 define:2 elitzur:2 photoionization:4 referee:1 controlled:1 monsignori:1 quantities:1 thousand:1 formed:1 gas:5 new:1 else:1 observe:2 cm3:12 representative:1 plasmas:5 photoexcitation:1 spin:1 present:8 case:18 sampson:5 solid:1 appearance:1 aip:1 kentucky:1 will:16 dept:1 while:10 ar:1 behavior:1 fernley:2 balance:1 london:1 identical:1 larger:4 almost:5 molecular:1 korista:5 ir:8 thus:2 iλ:1 apjs:4 iv:1 ii:12 ij:2 reports:1 kinkhabwala:3 n2s:7 kraemer:4 zhang:5 n2p:13 helium:29 diagnostic:2 greater:3 different:6 blaha:2 woodbury:1 perform:1 media:2 make:3 radiation:2 cross:2 same:9 orders:9 unity:2 html:1 arguments:1 schematic:1 units:1 dimensionless:2 several:8 composition:2 higher:3 a2p:30 independent:2 satellite:3 used:8 http:1 peaks:2 i1:6 numerical:8 upon:7 effect:6 ferguson:1 effectively:2 ion:11 levels:25 moving:1 appreciable:1 potentials:2 changing:2 destruction:1 tucker:2 lower:3 emissivities:2 center:2 largely:1 holweger:2 cm2:2 well:9 roughly:7 analysis:2 approached:1 solve:1 components:11 collin:2 model:12 otherwise:1 lin:5 left:6 coup:2 topbase:3 less:12 3p0:5 3p1:22 3p2:13 labeled:1 obtain:3 rest:1 ne:21 isoelectronic:1 sources:5 shape:1 books:1 atomic:4 surpass:1 turbulence:2 bautista:10 λi:5 scattering:1 previous:3 letting:2 adding:1 preprint:1 kluwer:1 density:75 absorption:13 workers:2 λf:3 prieto:3 source:2 add:3 valid:1 treatment:1 heavier:3 plasma:18 excited:2 v5:1 divided:1 resolved:4 tests:1 kingdon:1 emitters:1 drawn:1 possible:2 collisionally:1 np:2 3pj:15 grid:2 proton:4 background:2 mol:1 specific:2 using:6 accurate:1 unique:1 helpful:1 counterintuitive:1 necessary:4 like:30 semi:14 verner:3 follows:6 signal:1 tend:2 noted:1 separately:1 flux:28 indication:1 either:2 sparse:1 multiplicative:2 become:4 revisiting:1 soft:3 page:1 dubau:5 because:17 bern:1 methods:5 classical:3 sequence:6 affects:1 some:11 athlone:1 b4:1 b5:2 deduce:1 added:1 b1:2 b2:1 escape:12 intend:1 sufficient:1 reasons:2 detection:2 happens:1 ignore:1 vol:1 scale:3 bottom:2 demonstrates:2 measurements:1 per:1 electrodynamics:1 everything:1 critical:3 assuming:1 o7:4 o6:6 subtracted:1 proc:1 porter:8 refer:1 reflect:1 noise:1 workshop:1 bold:1 power:1 prepared:1 agreement:2 paper:1 recombinations:1 q2s:3 ratios:21 handbook:1 plots:3 analyses:1 falls:1 stage:3 comparison:1 about:8 central:1 increasingly:2 column:50 mendoza:1 discussed:13 dependence:7 o:10 simulation:2 dalgarno:2 range:5 coronal:1 greatly:1 mixed:1 introduced:1 slightly:1 contours:2 emissivity:1 astronomical:1 real:1 followed:1 jλ:2 previously:3 communication:3 into:6 obtaining:1 nsf:1 three:2 down:1 lies:1 appropriate:1 right:9 references:1 proportional:3 often:1 span:2 additional:2 remain:1 artifacts:1 transfer:4 strictly:1 there:2 approximate:1 stark:1 width:1 accordingly:2 bianchi:2 quanta:2 low:13 fraction:6 ed:3 astrophysics:1 was:5 energy:9 damping:1 function:13 hard:1 gaseous:1 complete:2 form:1 offer:1 metastable:1 forming:2 collapsed:2 regard:2 triangular:1 but:13 astro:1 neutral:1 related:1 solar:4 atom:3 forbidding:1 hc:2 line:72 highest:1 ph:1 he:7 godet:5 ji:5 joint:1 uv:7 up:2 dordrecht:1 below:5 frequency:1 limit:16 kaspi:2 manuel:1 demonstrate:2 distribution:1 stages:3 similar:3 sauval:2 strongly:8 taylor:1 hotter:1 defined:2 stronger:1 abstract:1 b3:2 influence:1 singly:1 general:1 xiii:1 exist:1 our:11 corresponding:4 formalism:2 physical:2 nh:11 again:5 functions:2 beyond:1 nl:6 probabilites:1 amounts:1 index:1 when:6 detail:2 virtual:2 field:2 nz:15 other:6 details:3 holding:1 program:1 test:1 mass:1 nu:3 optically:14 elements:3 reconsider:1 excitation:4 separate:3 models:4 photon:5 symbol:1 diagnostics:5 matt:2 includes:2 deriving:1 important:10 peak:2 included:6 astronomy:1 needed:2 structure:2 nasa:1 agn:7 calculation:1 faster:6 l63:1 assume:2 typically:1 baker:4 factors:1 resolving:3 4s:1 rule:2 original:2 depth:27 warm:1 weights:1 time:1 understand:1 nuclei:2 resolution:2 having:2 provided:1
0704.2643.txt |@word limited:1 dewitt:4 edd:5 represent:2 magnetic:1 luminosities:2 results:2 existing:1 indicates:2 disc:40 teukolsky:2 grateful:1 kato:2 disk:2 contributions:1 centers:1 causes:3 compact:4 depend:5 calculate:19 zone:2 tt:1 charge:1 those:1 stable:6 dominated:1 include:3 cm2:1 penetrating:2 zhang:2 far:3 implicitly:2 rise:1 ohsuga:1 dependences:1 electron:1 sons:1 actually:1 summarized:1 difference:4 school:1 ghavamian:1 cunningham:5 positions:3 tex:1 integrating:3 large:3 gabriel:2 small:6 relation:1 yaqoob:2 straight:1 mcclintock:1 upper:6 zamo:1 l69:1 10m:3 miller:2 liang:1 sin2:1 direct:5 pasj:5 past:2 located:3 rate:12 timescales:2 value:4 7th:1 targets:1 spectral:1 established:1 avrett:1 spain:1 section:10 m33:6 near:4 thickness:1 instabilities:1 issues:3 above:7 chromosphere:1 new:3 method:9 contrast:1 temperatures:1 body:3 evolving:1 evaluating:1 degree:2 respectively:6 deluca:1 even:10 component:1 here:11 understanding:1 asymmetry:2 smearing:1 aid:1 concluding:2 ratio:6 along:8 strong:9 change:7 obtained:6 institute:1 basko:1 study:16 larger:21 commonly:1 later:1 70o:3 usually:1 studies:3 plotted:2 via:1 apr:1 sgr:1 integrations:1 apj:14 egress:17 decrease:5 glance:1 total:2 unit:1 eddington:2 plot:6 use:4 gtφ:1 remains:2 positive:2 contains:1 tail:2 next:2 therefore:3 december:2 taken:1 candidates:1 type:5 cretion:1 marginally:4 more:9 smeared:7 flat:1 skewness:19 biretta:2 m87:1 yokoyama:2 apparent:3 emission:12 absorptions:2 normalized:57 heii:6 known:1 cases:40 sekiguchi:1 kurtosis:19 high:4 account:4 tokyo:3 deformed:2 science:5 equation:1 mn:1 eclipse:12 london:1 zhao:1 erg:8 values:5 thin:5 transparency:2 tracing:1 trans:1 example:1 compare:1 figure:61 give:8 calculation:8 relativistic:12 neglected:1 sample:2 effectively:1 assumptions:1 tetrads:2 performed:4 kw:1 sharp:1 hydrogen:1 occur:1 axis:11 normalize:1 information:23 rays:2 provide:2 technology:2 discussion:3 european:1 feature:4 plucinsky:1 regions:8 very:5 low:2 answer:1 absolute:3 parameter:3 circular:4 profile:3 simplicity:1 de:2 galactic:1 plans:1 spitzer:2 may:7 max:1 after:6 minimum:1 mapping:3 reflect:1 plane:4 lumi:1 fi:4 horizontal:1 data:14 obscuring:1 supersonic:1 stress:1 short:5 dynamical:1 effective:7 light:142 lindquist:1 grant:1 lines:29 correspond:1 thorne:4 fraction:3 so:6 fundamental:1 abscissas:1 lν:14 order:8 wind:1 nearly:1 ingress:18 dx:6 gradual:1 astronomical:1 casted:1 unsolved:2 fontenla:5 through:1 stelzer:2 statistical:4 penetrate:3 japan:2 still:2 its:5 galaxy:1 before:3 observational:11 style:1 rapidly:5 how:1 energies:2 occulted:5 vicinity:8 decreases:2 65o:2 detected:3 carve:1 mail:1 main:1 into:4 non:4 good:2 propose:1 largest:1 colomer:1 cover:1 introduce:1 number:15 band:1 daw:3 effects:112 closer:1 clouds:1 rotation:17 orosz:1 developments:1 shadows:18 february:1 bachiller:1 den:1 brightness:9 university:3 kerr:1 realistic:2 lensing:1 chandra:3 ledd:2 radial:1 crossing:8 found:1 higher:4 side:1 heavy:2 int:1 weighted:1 significantly:2 map:1 density:10 osaka:2 idea:1 related:1 inverted:2 challenges:1 interferometer:1 used:4 expect:3 proportional:2 our:13 paolis:1 extract:2 event:2 special:2 standard:7 vsop:1 shown:7 network:1 loeser:1 since:12 research:1 increase:8 investigation:1 asymmetries:2 vlbi:3 denoted:4 gov:2 cause:1 originally:1 shows:10 xeus:2 doppler:2 galaxies:2 little:1 possibility:1 quite:1 eriguchi:1 completely:5 supercritical:1 imaging:2 boosting:2 estimate:1 hand:7 shortest:2 log:2 ministry:1 transition:2 times:1 fobs:2 length:4 mesh:1 massive:2 transfer:1 davis:2 promotion:1 neglect:3 first:4 origin:1 features:3 nhi:8 primary:1 clear:2 xx:2 multiplying:1 done:7 directly:1 spectrometer:1 impossible:1 thick:2 precisely:1 angular:5 size:15 given:8 smaller:5 temperature:13 their:3 introduction:1 top:19 system:2 adopted:5 indicate:2 cooling:1 accretion:79 rates:2 observations:4 calculations:14 σhi:2 normalization:4 john:1 1m:3 too:1 shifted:3 way:2 schwarzschild:3 universe:1 assumption:1 part:3 blondin:2 than:21 peaked:1 distance:7 observatory:1 sections:6 measured:2 intensity:2 suzuki:1 future:6 str:1 were:1 wiley:1 function:4 motivation:1 modeled:2 basically:2 quantitative:1 topics:2 measure:2 spectrum:3 curves:112 chen:1 say:1 corona:5 tφ:1 seen:9 seem:2 clearly:9 ray:45 paths:1 absorber:1 angle:15 hamaguchi:1 zero:5 constellation:2 self:2 gravity:9 telescope:1 junor:2 fitting:1 edge:2 absorbed:2 take:2 photosphere:5 negligible:4 scatterings:1 blue:2 continuous:1 relatively:1 normal:3 arcsecond:1 asymmetric:8 most:14 bolometric:23 printed:1 significant:1 accreting:1 remarks:2 extremely:4 latex:2 constructed:1 especially:1 hmax:4 breach:2 calculated:26 sometimes:1 flow:6 haberl:1 km:6 typeset:1 elucidating:1 optical:12 electrons:2 principle:3 velocity:4 typical:1 physics:2 ho:1 precise:4 atmosphere:52 drastically:4 deviation:2 show:12 supported:1 feasibility:1 fukue:15 rotating:27 radii:2 radio:2 νrest:2 earth:1 determined:1 d2:4 xray:3 indicator:4 based:5 just:2 parameters:8 occultation:3 ℓmax:2 outside:2 should:1 only:8 going:1 black:156 νobs:7 emitting:4 constant:1 local:4 pointed:2 mgc:1 do:9 his:1 dominant:1 displayed:1 express:1 cannot:1 photoelectric:1 longest:2 words:3 dy:6 combinations:2 during:1 bardeen:9 takahashi:19 homan:2 processes:2 densities:3 luminosity:31 arxiv:1 acknowledgments:1 whether:3 investigate:9 discs:16 contain:9 including:1 weaver:2 lbol:29 rms:3 set:3 observer:11 achieved:2 frame:10 observed:67 culture:1 see:14 radius:6 result:1 existence:1 recently:3 luminous:19 hole:130 points:1 surfaces:1 phases:1 gφφ:1 symmetric:1 enough:1 smallest:1 between:15 boundary:2 bailyn:1 pannuti:1 deforms:1 comparable:3 terms:4 august:1 vertical:1 nature:5 originated:1 emitted:1 jp:1 however:8 jr:1 york:2 60m:9 key:4 probing:1 kev:98 gierlinski:5 suggested:1 received:1 radiatively:1 last:2 reverse:1 many:1 taking:1 compton:3 according:3 isotropic:2 figures:2 planned:2 lo:1 comes:2 cm:7 point:2 simple:1 inc:1 corresponds:2 proton:1 height:4 distinguish:2 wider:1 respect:7 ae:1 watarai:13 arts:1 three:1 described:2 addition:7 radiative:1 due:11 been:3 pc:1 much:4 basic:2 indicators:1 ph:2 pi:6 dℓ:2 define:5 photoionization:10 direction:4 corresponding:2 both:9 quantities:6 photon:25 6m:1 blackhole:1 hirabayashi:2 external:1 angles:16 astron:2 penetrates:1 c2:1 denote:1 spin:47 present:13 case:28 exception:1 atmospheric:69 exponential:1 solid:11 reliable:5 eclipsed:2 profiles:4 alter:1 will:6 while:10 cui:1 nosity:1 promising:1 σabs:2 gould:1 region:21 wijnands:1 changed:2 century:1 almost:1 metric:1 thus:3 surface:11 heating:4 middle:2 pronounced:1 vanish:2 helium:1 fellows:1 orbital:2 binary:6 different:3 education:1 80o:10 author:3 suggest:1 radiation:2 cross:8 same:16 any:2 shorter:4 parts:19 schematic:4 evaluate:1 units:2 several:3 events:1 neutron:6 difficult:4 nucita:1 investigated:1 http:3 absorb:1 appearances:1 numerical:2 effect:4 flows:13 companion:62 driven:1 v2:1 edges:5 sunyaev:1 l155:1 nabs:2 recent:1 interferometers:2 lower:11 center:10 largely:2 changes:8 no:17 kashiwara:1 roughly:3 analysis:12 phil:1 micela:1 patterns:1 without:10 solve:1 greatest:1 position:11 model:22 binaries:10 left:12 gaetz:1 proposed:2 when:30 sako:1 obtain:3 rest:4 shape:1 distant:1 thanks:1 questions:1 scattering:12 previous:2 web:1 timescale:12 sciences:1 zakharov:2 absorption:39 photons:7 insufficient:1 seems:1 suddenly:1 transformation:1 momentum:2 real:1 livio:2 around:26 depends:3 advances:1 showing:2 spatial:3 xs:2 possible:5 possibly:2 increases:2 mon:1 press:3 using:9 shadow:9 accepted:1 moreover:3 phenomena:1 peaky:2 signal:1 schmitt:1 gordon:2 shapes:5 flux:8 seyfert:2 become:15 works:2 soft:5 page:3 spins:11 opacity:1 www:1 because:13 methods:1 shen:2 herbig:1 some:10 maxim:3 examples:1 sight:4 table:4 images:12 intend:1 indirect:1 resolutions:1 exists:1 specific:2 gradually:3 micro:1 opposite:1 comments:1 boyer:1 does:1 esa:2 assuming:2 gsfc:2 proc:1 blaes:1 inclination:31 noise:1 energy:23 kyoto:1 each:10 analysed:1 ingrosso:1 stellar:19 symp:1 although:6 2m:3 relating:1 prepared:1 supermassive:2 panel:35 chapter:1 depths:2 about:7 novikov:2 discussed:1 dependence:10 o:15 range:4 a2:3 horizon:2 ti:6 obs:1 soc:2 decreased:1 redshift:1 image:6 within:5 rotations:1 interstellar:1 negative:2 phase:6 right:12 references:1 paper:2 determine:1 heated:2 factor:5 valuable:1 sports:1 75o:2 teff:1 van:1 additional:1 assumed:6 there:3 question:1 transform:1 long:6 ordinate:1 width:2 jsps:1 encouragements:1 inner:5 stars:9 ed:3 astrophysics:1 l139:1 analyze:1 was:2 hei:6 assumes:1 hz:4 vicente:1 medium:2 complete:2 form:1 equatorial:1 nheii:2 differences:2 but:8 gaussian:1 astro:2 expected:1 berg:1 hi:13 goals:1 solar:11 mnras:3 magellanic:1 line:17 true:1 partially:1 count:3 portions:1 qualitative:1 society:1 mineshige:3 gravitational:3 abscissa:4 maximum:4 quantitatively:1 frequency:10 diagrams:4 spectroscopy:1 distribution:12 panels:32 similar:1 average:1 ac:2 required:1 intersects:2 defined:4 curve:19 abstract:1 contribute:2 deep:1 general:3 duration:1 examine:1 ar:1 exist:5 liedahl:1 file:2 wavelength:1 dragging:4 distributions:1 sasaki:1 physical:10 hachisu:1 nac:1 functions:1 compared:1 beaming:1 unocculted:2 dotted:6 pietsch:3 dashed:13 generally:5 ne:2 graduate:1 field:3 other:10 becomes:10 department:1 eight:1 200x:4 out:10 magnetorotational:1 optically:3 rt:3 elements:4 star:64 topic:1 separate:1 models:1 gas:1 variation:2 includes:1 important:1 shibata:1 included:2 transfers:1 60o:11 astronomy:1 provence:1 structure:5 observers:2 regime:2 longer:3 practically:1 assume:10 bottom:19 holes:24 orbit:6 having:1 depth:10 nasa:3 mass:25 remillard:1 diagnosis:1 time:35 resolution:1 original:1 eclipsing:66
0704.2644.txt |@word code:24 consider:3 chain:2 results:4 gy:1 existing:1 prefix:1 entropy:1 edu:1 consists:2 follow:1 vapnik:8 compact:1 whose:2 fellowship:1 linder:1 technique:1 unboundedness:1 tn:9 finally:2 elias:2 under:7 stochastic:1 norm:1 supported:1 string:4 straightforward:2 zhang:1 far:1 frequencies:1 assuming:1 choice:3 corollary:1 every:11 additional:3 entries:1 mixing:12 rn:7 condition:27 entire:1 subsets:2 induction:1 large:6 discrete:3 vector:6 small:1 markov:10 shows:2 ryd:1 application:3 zn:4 work:1 zj:2 det:2 estimates:2 measurable:6 empirical:3 past:1 rate:18 forensics:1 design:1 infimum:2 nδn:8 rigorous:1 further:1 estimated:2 universal2:1 section:4 expressed:1 uniform:2 current:2 waiting:2 en:1 above:1 sup:4 new:4 learned:1 increasing:1 coefficient:3 full:1 notions:1 degree:3 excludes:1 respectively:2 realizations:3 here:1 met:3 active:6 devroye:2 8e:1 implicit:1 z2:1 convert:1 suitably:2 institute:1 larger:1 allows:1 ple:1 suggests:1 theoretic:1 symp:1 as0:1 suitable:1 uniquely:1 offs:1 via:4 useful:2 divide:1 family:1 bounds:1 apr:1 marginal:5 achievable:1 operational:1 asi:1 unit:3 z1n:1 use:7 asymptotic:5 working:1 prove:2 probabilities:8 positive:4 continuous:5 next:1 almost:6 gray:1 therefore:2 memory:10 encode:1 associated:1 tell:1 more:2 abusing:1 formally:1 relax:1 tions:1 mismatch:1 flag:1 everywhere:1 normalized:4 known:3 iii:2 blocking:3 insights:1 md:1 springer:2 quantized:1 sphere:1 ndimensional:1 mn:28 rθ:1 ρn:3 quantizer:3 minimum:1 values:1 learn:1 following:3 nonsingular:1 trans:6 proof:2 control:1 nearest:1 transition:3 figure:1 give:1 process:12 sense:1 ann:2 sample:2 effectively:1 2nd:1 assumptions:4 allowed:1 worse:1 information:7 respective:1 redundancy:3 invoke:1 minimax:1 s2:3 discussion:1 holds:6 feature:1 regions:2 how:1 get:3 optimal:4 verlag:2 parameter:19 map:1 product:3 blocks:5 description:7 algebra:1 may:2 max:1 wiley:1 mapping:1 collection:7 plane:1 designed:1 rissanen:5 data:4 fn:2 gaussian:3 short:1 third:1 ss:1 explicit:2 yielding:1 st:2 inform:6 si:5 so:6 sn:1 verify:1 representation:1 operate:1 order:2 lθ:9 least:1 establishes:1 produces:1 fθ:5 indeed:1 over:2 satisfied:2 nonparametric:1 distortion:12 symbols:1 bounding:1 paper:1 through:1 aθ:4 y1:2 xn:31 fidelity:2 y2:1 ieee:7 its:4 roots:1 write:1 thank:1 x1n:15 maps:1 ln:15 fix:1 expectations:3 estimating:1 according:1 fig:1 hidden:5 main:2 s1:1 yi:1 eventually:3 good:2 vidyasagar:1 barron:1 richness:2 universality:2 introduce:1 now:4 yu:1 smoothness:1 matched:1 term:2 finite:8 2p:1 always:1 university:1 grows:1 sufficiently:7 inequality:3 each:16 dominating:1 2n:2 side:1 constraints:1 subset:1 int:1 schemes:6 ed:3 hard:2 idea:1 used:2 mde:3 ball:4 measure:10 our:11 happen:1 event:1 shannon:1 principles:1 noiseless:1 shown:4 followed:1 rp:1 matrix:5 3rd:1 space:8 quality:1 furthermore:1 urbana:1 lagrangian:13 denotes:1 rd:5 combinatorial:2 acting:1 performs:2 rm:1 adaptive:1 induced:2 suffices:1 independence:1 rk:3 theory:8 associate:1 divergence:1 standard:1 admits:1 nth:2 surely:3 york:3 approach:1 estimate:4 likelihood:2 generate:1 cθn:4 log:36 definition:2 uiuc:1 autoregressive:3 r2:1 impose:1 learnability:2 turn:1 length:17 exponentially:3 probab:1 qn:6 first:11 xj:1 xk:2 intuition:2 xi:14 ntroduction:1 probability:5 encoding:3 variables:2 coding:17 comprised:1 done:2 ℓn:4 another:1 representations:1 comprises:1 open:2 appl:2 given:7 πs:1 families:1 construct:1 πm:1 their:2 assumption:2 rates:1 convention:1 scheme:7 bits:2 exactly:1 prediction:1 part:1 douc:1 alphabets:1 x0:1 x1:3 than:1 finitely:3 distance:3 variational:5 determines:1 eqe:2 require:1 richer:1 ioannis:1 states:1 classes:2 kth:1 reproduction:1 treated:1 deciding:1 gathering:1 behavior:1 generality:1 summable:1 bs1:2 generalization:1 lin:1 say:2 manner:2 close:2 need:2 events:1 minr:1 clearly:1 lie:1 zero:6 regime:1 check:3 convenient:1 latter:1 ideas:2 converges:3 note:6 instance:1 generalized:1 indexed:1 performance:15 reals:2 ρmax:1 channel:3 acquire:1 components:1 shall:3 price:1 measures:2 most:1 optimized:1 learns:1 letter:2 codeword:1 pair:3 measured:1 class:20 uθ:3 deviations:1 constructed:1 mean:2 adopt:1 countably:2 countable:1 points:1 quadratic:2 technical:2 fact:5 selection:1 12e:1 show:9 random:3 converge:2 spaces:2 merhav:1 determined:2 july:3 d1:1 access:1 based:2 knowledge:1 parameters:6 outside:1 controls:1 should:1 lemma:4 only:4 judged:1 equipped:1 circle:1 dn:25 do:1 triangle:2 goes:1 notation:3 means:1 since:1 quantified:1 expectation:3 joint:9 reconstruct:1 trade:2 klein:1 geometric:1 lossless:2 aξ:2 produced:1 processes:7 densities:6 settings:1 upper:1 fields:1 heorem:1 arxiv:1 whether:2 optimally:1 underlying:3 statist:1 london:1 fixed:4 view:1 set:4 exists:10 acquired:1 smooth:1 achieves:1 operates:2 relative:3 see:8 radius:4 result:2 discussions:1 terms:2 optimum:2 satisfies:2 best:2 techniques:1 sequences:1 billingsley:1 satisfying:11 inequalities:4 state:4 µn:1 identification:9 xamples:1 between:3 drawn:1 justified:1 conditions:9 email:1 recently:2 august:1 extend:1 lθ0:7 importance:1 however:1 realization:1 quantizers:4 would:1 key:2 multiplier:1 modeling:3 problem:1 regular:1 improve:1 both:5 improved:1 cantelli:2 beckman:2 equal:3 quantization:3 present:1 context:1 variance:2 estimation:7 otherwise:1 relevant:1 lagrangians:1 asymptotically:3 eferences:1 dimensional:4 effros:1 learning:3 lagrange:1 cs:1 moreover:4 throughout:2 ensures:4 cqn:1 second:7 pz:2 px:3 due:2 been:1 z1:6 ai:2 much:1 interest:1 basic:1 expected:6 marginals:2 pi:1 orfi:1 universal:19 empty:2 define:3 ergodic:4 corresponding:3 0s:1 andrew:1 argument:2 optimality:1 bayesian:1 c2:1 those:1 novel:1 unlike:1 harder:1 codebooks:2 choices:1 will:4 euclidean:1 while:2 ar:2 suppose:5 reliably:2 aij:6 property:2 remains:1 vc:10 memoryless:5 metric:3 vk:2 thus:14 concatenation:1 vn:16 iv:1 ii:3 regularity:4 ij:2 il:1 ave:1 supremum:1 seattle:1 binary:6 handled:1 author:1 lengths:2 alphabet:8 make:1 yn:3 same:1 any:8 member:1 complex:1 largest:1 several:1 composition:3 independent:3 extended:1 infinity:2 receives:1 trivially:1 bonus:1 absorb:1 functions:1 hand:1 parametrized:3 codes:9 infinite:3 lower:1 weakly:1 off:1 proceed:1 database:4 well:3 moulines:1 without:1 mathews:1 sets:8 model:8 parametric:2 dimension:5 usual:1 λr:1 being:1 observed:1 interleaved:1 obtain:1 sources:17 lossy:14 identify:3 integer:1 facts:1 polish:1 captured:1 nǫ:1 lebesgue:1 density:4 extra:1 parametrization:1 source:31 other:2 theorem:5 input:1 guarantees:1 real:2 march:1 around:3 depends:2 showing:1 admitting:1 interior:1 increases:1 grid:1 immediately:2 bit:1 unique:2 pinsker:1 apart:1 loss:1 2dn:1 like:1 dµn:1 identifying:1 follows:4 fubini:1 δn:13 benefit:1 yields:3 arbitrary:1 output:2 stationary:9 therein:3 copies:1 because:6 methods:2 namely:1 sequence:15 absolutely:1 pθ0:12 some:9 maxim:2 algebraically:1 polynomial:4 examples:2 choosing:1 respect:1 proper:1 nonzero:1 vol:9 nonempty:1 affects:1 decision:2 normal:1 per:1 instantaneous:1 does:1 tends:2 proc:1 kontoyiannis:2 refer:1 pp:10 overall:1 lugosi:2 step:8 cθ:5 pθn:7 although:1 2m:1 properties:2 stage:15 integers:2 limitation:1 central:1 usa:1 pθ:22 reliminaries:1 o:32 recalling:1 estimator:7 ensure:1 chou:1 neighbor:1 xnk:3 reproducing:1 slightly:1 block:23 homogeneous:1 computes:1 communication:1 into:6 within:1 bound:5 three:2 assess:1 appropriate:1 right:1 references:3 impractically:1 refined:1 rely:1 compression:5 springerverlag:1 assumed:1 strictly:1 there:10 approximate:2 long:1 borel:3 was:2 naturally:1 function:2 form:5 denoting:2 but:2 encoder:15 volume:2 construction:2 decoder:14 convergence:2 encoded:1 true:1 he:2 submitted:1 made:1 consist:1 default:1 wish:2 probabilistic:2 maximum:2 us:3 achieving:1 below:1 owing:1 ui:3 autocorrelation:1 supa:2 distribution:6 arma:2 similar:1 called:3 later:1 constant:3 up:2 defined:6 certain:5 abstract:1 specified:2 denote:7 ap:3 single:2 dν:1 exist:2 4p:1 dθ:4 θn:3 inf:7 distributions:2 approximated:1 defines:1 coder:1 nk:1 no:8 when:2 illinois:1 field:1 shaded:1 setting:1 digital:1 chervonenkis:8 regardless:1 models:2 preceding:2 june:1 a1:3 a0:3 generated:1 bounded:8 allowing:2 vectors:1 variable:10 fisher:4 encoders:1 structure:1 acknowledgment:1 independently:1 implies:4 using:7 practically:1 assume:6 together:1 4m:1 compete:2 eθ0:15 time:5 n1:5 n2:1 n3:1 strings:2 eθ:2
0704.2645.txt |@word concept:2 consider:1 caused:1 results:1 emeritus:1 scalar:4 consists:1 remarkably:1 devoted:1 whose:2 certainly:1 ver:1 calculate:1 aug:1 technique:2 program:1 present:6 th:1 under:1 dislike:1 ℜm:1 indicating:1 divergent:1 p2:3 very:2 mixing:2 experimentally:1 trouble:1 gaugefixing:1 condition:2 level:1 solution:2 large:2 vector:1 manifestly:3 eigenvalues:1 noted:1 upper:1 y0:3 nbr:1 consistent:3 sign:1 tex:1 likely:2 rigorous:1 further:3 air:1 expressions:1 linear:3 nonlinear:1 appear:1 chicago:2 section:2 interactions:1 near:1 version:2 poles:2 above:6 new:4 satisfy:2 lee:3 component:1 here:2 them:1 free:2 standard:10 equations:1 change:1 extreme:1 property:2 clarify:1 involved:1 larger:1 usually:1 decouple:1 uniquely:1 appropriately:1 formulated:2 although:1 merely:1 brs:1 integrations:1 modifying:1 contradictions:1 total:1 propagators:2 use:6 covariant:6 positive:8 gregor:1 negative:2 cho:1 nucl:1 kinematics:1 therefore:2 m2:1 taken:3 theoretical:1 more:3 introducing:2 successful:1 becomes:9 postulated:1 carrying:2 employed:1 known:4 hold:1 must:8 high:4 account:1 valued:1 work:1 modified:3 theories:2 lorentz:15 values:3 norm:5 following:4 spontaneous:2 example:3 dedicated:1 give:2 calculation:1 relativistic:1 organized:1 ojima:1 states:2 minimum:1 employs:1 unphysical:3 axis:3 requirements:1 discussion:3 located:4 nontrivial:1 instead:2 ordinary:2 parameter:2 sato:1 may:7 kawabe:1 after:1 diagram:1 consequence:1 plane:2 renormalizability:2 law:1 realized:2 natural:1 imply:1 higgs:31 explicit:2 su:6 dilatation:3 so:2 fundamental:5 realizing:2 restriction:1 muta:1 gleeson:1 hierarchy:2 indeed:3 pointed:1 noboru:1 course:4 paper:4 including:2 mentioned:1 japan:1 still:1 its:5 symmetry:6 energies:2 masses:3 solving:1 troubles:1 boson:17 actually:1 absence:2 production:1 renormalizable:1 main:2 dyson:2 cls:1 violating:4 greater:1 propose:4 introduce:5 framework:2 they:5 half:1 now:1 day:1 chromodynamics:1 easily:1 term:4 finite:1 hereafter:1 university:1 hamiltonian:1 appropriate:1 greisen:1 by10:1 sufficiently:1 inequality:1 mean:1 goldstone:1 reactions:1 domain:1 weyl:6 transforming:1 formulate:1 energy:13 reduce:2 idea:1 used:1 applicable:1 elementary:2 owing:3 measure:1 quantum:15 our:6 ghosts:4 ev:1 special:1 out:3 shown:1 matrix:13 space:1 restricted:1 furthermore:2 since:1 lagrangian:9 denotes:3 particles:3 collisions:1 contained:2 investigation:1 m2j:1 denoted:1 newly:1 correct:1 inevitably:1 believes:1 theory:39 written:1 divergence:1 possibility:1 quite:7 small:1 regulators:1 perturbation:2 inevitable:1 forbids:1 pairs:1 interaction:3 could:1 cosmic:3 m21:2 m22:2 unitarity:7 massive:2 hence:2 quadratically:1 kuz:1 probability:1 tachyon:2 variables:1 clear:1 utilized:1 array:1 precisely:1 given:4 necessarily:1 introduction:1 relations:1 their:2 intermediate:2 quanta:1 essays:1 final:2 holomorphic:1 exactly:1 electroweak:2 hioki:1 part:3 lhc:1 x0:3 unrealistic:1 than:2 target:1 showed:1 require:1 zero:2 shower:1 determined:1 supposed:1 were:1 troublesome:1 generality:1 unlikely:1 conjugate:2 seen:1 any:1 contents:1 ray:2 zatsepin:1 min:1 self:2 gravity:2 mechanism:2 note:1 k0:7 absorbed:1 take:1 beyond:1 axiomatic:1 though:1 reach:1 singlet:1 most:3 involving:4 importantly:1 pair:7 colliding:1 extremely:1 inequalities:1 unequal:2 observation:2 considered:1 professor:1 typeset:1 feynman:9 wick:2 principle:2 χa:1 quadratic:3 usual:1 physics:3 naively:1 fact:4 sector:4 phenomenon:1 show:1 violation:7 discovered:1 gauge:16 earth:1 longer:1 find:2 q0:1 giant:1 q2:1 parameters:2 dp0:1 superparticles:1 state:3 should:4 analytic:2 only:6 experiment:1 factor:1 suspect:1 constant:3 local:4 over:2 goes:2 means:4 expectation:2 soon:1 beam:1 cannot:1 closely:1 dp:1 dq:1 runs:2 resolve:1 fields:21 arxiv:1 wightman:1 yield:1 whether:1 experiments:1 mathematically:1 fixed:1 doublet:2 set:3 exists:1 violated:5 observed:5 differentiation:1 see:3 result:3 existence:4 contour:4 concern:1 regulator:1 satisfying:1 commutation:1 dk0:2 review:4 enough:1 future:1 chosen:1 between:1 invariant:2 boundary:1 conditions:1 cosmicray:1 nambu:1 triplet:1 terms:4 extend:1 nature:1 weak:1 attention:1 jp:1 however:3 vanishing:1 concentrate:1 jk:2 jetp:1 observable:2 σi:1 realizable:1 prescription:1 0x:1 equal:2 against:1 sensitive:1 context:2 passing:1 expression:2 photons:1 experimental:2 invariances:2 seems:2 dimensional:1 pole:2 simply:1 respect:1 indefinite:11 akeno:1 collider:1 transformations:1 second:1 addition:1 radiative:1 been:4 strategy:1 cauchy:2 basic:1 agasa:1 direction:1 supersymmetric:1 both:1 neutrinos:1 covariance:2 mail:1 denote:1 those:1 case:4 p0:4 abandoned:1 appearance:2 value:4 spontaneously:2 will:1 while:2 ultra:1 constructive:1 manner:1 real:6 metric:12 thus:3 non:6 according:1 examined:1 susy:2 vanish:1 confirmed:3 author:1 make:2 radiation:1 same:2 complex:34 pauli:1 modification:5 φj:6 φk:3 events:1 difficult:2 decomposed:1 sudarshan:1 functions:1 iδ:1 v2:2 purpose:2 invariance:14 lower:1 kept:1 well:1 analysis:1 without:6 solve:1 model:3 axiom:1 latter:1 left:1 λv:3 proposed:1 obtain:3 inadequate:1 world:1 facts:1 yet:2 cut:1 density:8 regarded:1 had:1 except:3 realize:1 simple:1 potential:1 lett:2 continuation:1 guarantees:1 solvable:1 transformation:1 resolved:2 yukawa:1 around:1 rules:1 iβ:3 iε:1 possible:4 wentzel:1 background:2 vacuum:2 using:2 loss:2 nakanishi:12 dq0:1 like:5 particle:4 bethesalpeter:1 follows:2 reduces:1 adiabatic:1 unnecessary:1 manifest:2 yields:1 integrals:2 arbitrary:1 spinor:1 become:3 essential:2 therein:2 exceed:1 right:2 old:1 people:1 successfully:1 phenomena:1 examples:1 proper:1 diagonalizing:1 nonzero:1 provided:2 positivity:3 quarks:1 integration:1 everything:1 does:1 prog:6 scientific:1 slight:4 kyoto:1 conventional:1 anticlockwise:1 broken:2 leptons:1 properties:2 hadron:1 lhiggs:2 about:1 kinematical:1 extension:1 extending:1 assertion:1 δc:2 nonvanishing:2 remains:1 plus:1 introduced:2 slightly:3 cutoff:1 rev:5 presence:1 into:3 integral:1 bound:3 predictions:2 hermitian:6 because:3 references:3 strip:1 operator:3 φj2:1 bosonic:1 hep:1 assumed:2 strictly:2 there:5 transform:1 conservation:1 bosons:1 way:5 m1:1 analyze:1 was:2 function:15 form:2 some:5 but:7 gaussian:1 expected:1 magnitude:1 subsidiary:1 removed:1 true:2 coupling:3 explaining:1 made:2 2πi:1 below:2 limit:2 problem:5 called:1 trio:1 proved:1 moore:1 defined:5 likewise:2 general:5 single:1 exist:1 fashioned:1 corresponding:1 formalism:4 ℑm:2 physical:11 unwelcome:1 avoided:1 no:10 nak:1 handed:1 ng:7 field:32 valid:1 role:1 test:1 really:1 unobservable:7 picture:1 suppl:3 superposition:1 models:1 welcome:1 ξv:6 important:1 variable:1 ghost:16 auxiliary:1 assume:2 theor:6 together:3 mass:7 time:2
0704.2646.txt |@word partial:1 consider:6 funct:2 results:3 obstruction:2 scalar:2 proposition:3 generalize:1 gang:2 computation:4 consists:1 follow:1 osc:4 toric:1 compact:7 whose:4 depend:1 tx:1 uniqueness:3 manifolds:9 under:3 exposition:1 include:1 applied:1 conjecture:2 song:2 choice:6 ωsn:8 trouble:1 condition:3 ωtn:5 hamiltonian:1 cause:1 solution:2 t0:5 convenience:1 vector:18 anal:2 upper:1 sturm:2 ga:5 estimates:1 direct:1 second:1 bilinear:1 established:1 invertible:1 gβα:1 giving:1 section:8 tohoku:2 uniform:1 sur:1 establishes:1 sup:5 new:3 increasing:1 consisting:1 notions:3 component:2 here:7 desired:2 les:1 path:6 along:7 implicit:2 φui:1 admits:1 remark:4 sobolev:2 study:1 eduction:1 action:2 weinkove:2 family:2 apr:1 limi:2 apply:1 establish:1 readily:1 donaldson:2 use:11 would:1 prove:12 positive:6 contains:1 negative:1 next:3 m1:2 taken:1 associated:5 type:9 vj:1 more:1 symposia:1 solitons:4 curvature:4 phong:3 normalized:1 particular:1 known:1 cases:1 must:3 valued:9 cas:1 recall:1 equation:19 kli:2 ere:5 cao:2 following:16 proof:8 f0:1 f1:1 monge:5 toshiki:6 assumptions:1 ωem:31 want:1 e2s:2 verify:1 holds:1 feature:1 write:1 nontrivial:2 hou:1 pure:3 instead:2 parameter:2 simplicity:1 fs:8 ft:9 algebra:2 may:2 max:2 advice:1 consequence:1 fi:4 data:1 fm:1 constants:3 natural:1 varieties:1 whenever:2 lemmas:1 chern:2 extremal:1 sendai:1 so:13 helv:1 matsushima:1 deform:1 1we:1 closeness:1 stability:3 xi:2 aut0:2 left:1 existence:4 satisfies:1 still:2 vari:1 before:1 derive:6 group:2 thank:1 la:1 fix:2 lk:10 li:6 forms:3 complex:10 convexity:1 ωke:1 derivative:7 lx:2 maximal:1 greater:1 introduce:3 bound:6 acta:1 now:3 easily:1 term:6 finite:3 2s:12 university:1 hermitian:8 properness:5 2f:3 inequality:8 l0:3 l1:2 fω:4 2n:3 side:2 mean:2 differential:1 reference:1 osaka:1 related:3 η1n:11 extended:1 our:2 special:1 matrix:1 space:4 since:9 denotes:1 fx:1 geom:1 ra:2 stud:1 formula:1 suffices:1 math:13 shows:2 8n:1 theory:1 associate:1 differ:1 standard:2 tian:7 york:1 advisor:1 estimate:6 beginning:1 log:14 definition:7 kij:4 geometry:3 ahler:37 hence:8 generalizations:2 support:1 first:9 initial:2 xe:1 relations:1 another:1 xr:5 precisely:1 open:2 xt:7 xu:1 given:3 1t:2 similarly:2 introduction:1 1x:3 construct:1 indicate:1 assumption:1 1g:2 variational:1 structures:3 gives:3 holomorphic:18 isomorphic:1 tool:1 proving:1 part:2 norms:1 than:2 holland:1 require:2 depends:2 dtd:1 classes:1 result:1 minm:1 generality:1 rewrite:1 ann:1 argument:4 generalization:3 say:1 need:8 seen:3 clearly:1 viewed:2 lie:3 depending:6 lim:2 note:7 potential:3 generalized:4 maxm:1 green:1 shall:2 metrics:12 most:1 said:2 connected:1 position:1 pair:1 grateful:1 analytically:1 class:4 es:4 inequalities:3 soliton:3 don:1 considered:1 flow:12 kl:5 points:1 principle:2 exp:1 kx:8 review:2 fact:9 show:1 emonstration:1 relation:3 solutions:1 centralizer:3 substituting:1 analogue:1 find:2 help:1 homomorphic:2 should:1 aubin:1 lemma:9 only:9 moser:2 continuity:1 his:2 handle:1 above:9 get:7 dg:2 de:2 ones:1 dz:1 closely:3 applying:1 dt:3 du:1 ds:12 differentiating:2 fields:6 arxiv:2 method:3 qi:1 fixed:2 kernel:1 set:8 modulo:2 computed:1 exists:8 ricci:12 compactes:1 maximum:2 calabi:1 see:1 cocyle:1 discussions:1 terms:3 satisfying:1 exponent:1 mabuchi:30 functionals:5 closed:2 between:1 αi:1 invariant:22 geometric:1 conditions:1 notice:3 recently:1 uj:1 uω:29 ji:4 key:1 multiplier:8 ikl:2 both:1 last:3 0t:2 according:1 hω:10 poincar:2 comm:1 comment:1 ci:1 point:1 appeared:1 thierry:1 corresponds:3 ahlereinstein:1 cs:2 respect:6 cp:1 ct:1 basis:1 yau:3 concavity:1 been:2 trudinger:2 pc:2 basic:2 inventiones:1 eriennes:1 define:3 field:10 corresponding:1 combing:2 subspace:1 c2:1 c1:12 c0:8 those:1 case:7 p1:1 value:1 will:5 rbi:4 ve:4 vi:1 metric:25 thus:3 vm:1 tφ:4 ij:23 ax:1 ric:7 φs:3 φt:69 author:1 formulations:1 same:4 any:5 parts:1 φe:7 φi:7 proved:10 gets:2 une:1 independent:3 used:4 columbia:1 lxr:1 flows:1 hand:2 v1:4 v2:1 1σg:11 identity:2 σx:1 min:2 well:3 without:2 solve:2 organization:1 dimension:1 subgroup:4 manifold:6 less:1 actions:1 using:6 previous:2 adv:1 readers:1 character:1 iω:3 easy:2 theorem:21 real:9 φt0:1 2v:1 21e:1 bando:1 amp:5 unique:1 helpful:1 loss:1 like:1 futaki:8 follows:4 automorphisms:1 arbitrary:1 right:1 classical:4 sequence:2 some:6 convex:1 proper:4 2e:1 integration:2 critical:1 connecting:2 compute:3 proc:1 refer:1 problems:1 equivalent:4 each:3 perpendicular:1 bj:8 references:1 imaginary:1 properties:7 simplify:1 theorems:1 nonvanishing:2 involving:1 introduced:4 consequently:1 h0:13 h1:3 functional:22 ahl:1 nagoya:1 appropriate:1 2v0:1 ηs:2 einstein:28 operator:3 amsterdam:1 acknowledgements:1 additional:3 strictly:1 there:10 u1:15 u0:14 long:2 u2:1 appl:1 was:1 function:12 hx:8 north:1 form:7 hs:21 but:1 volume:4 heat:4 hi:2 line:1 he:2 zhu:4 versions:1 ωs:5 smooth:4 ωt:1 us:20 um:1 supi:2 below:1 ui:1 jω:5 ωn:2 positif:1 similar:7 called:1 smoothing:2 constant:13 ad:1 egalit:1 defined:7 coincides:1 aj:1 denote:4 proves:1 tosc:1 inf:2 defines:1 functions:5 no:8 when:2 vanishes:1 ny:1 interested:1 details:2 becomes:1 department:1 mathematics:1 ωφn:4 ωφi:2 uniformly:4 important:1 bounded:4 linearization:1 sides:1 structure:3 algebraic:1 implies:7 assume:7 interval:1 together:1 notion:3 4n:1 time:2 once:1
0704.2647.txt |@word ibid:1 represent:1 gt:7 partial:1 gr:1 pointing:1 similarity:1 global:1 rod:1 results:7 sketching:1 four:1 roy:1 scalar:4 edu:1 gj:5 issues:3 consider:4 devoted:2 increase:2 const:2 ceases:1 re:2 punjab:1 quadruple:1 finally:1 program:1 indicate:1 γb:5 letelier:2 applied:1 very:4 rise:1 2γb:2 choice:1 anonymous:1 2rr:4 condition:1 preuss:1 magic:2 riemann:1 presented:1 turns:2 solution:4 large:9 vector:6 islamabad:1 small:2 eigenvalues:2 segre:1 work:4 force:1 approximation:17 zero:3 further:1 theory:2 even:2 stands:2 chicago:1 section:7 dr2:1 near:1 version:6 above:2 referees:1 values:5 falling:1 acknowledgments:1 nakamura:2 simultaneously:1 degree:1 respectively:4 component:5 here:9 agreement:1 behaviour:1 grav:7 explore:2 cylindrical:12 represented:1 strong:4 equations:6 interpret:1 ue2:1 obtained:3 great:1 study:2 vectors:3 suggests:3 amount:6 shaded:1 spacetime:13 uniquely:3 named:1 useful:2 although:2 family:1 extra:1 apr:1 cylinder:3 visible:1 addressed:1 unit:1 eddington:1 use:6 d71:1 takes:1 would:2 sake:1 positive:10 contains:2 riv:1 unction:1 taken:2 simpler:1 type:1 historically:1 more:2 flat:1 initial:2 yahoo:1 particular:2 known:2 δd2:6 cases:4 hold:5 eγ:4 rδ:2 keeping:2 integrating:2 reγ:4 equation:7 ρj:3 remain:2 obvious:2 morgan:2 following:7 specialized:1 f2:1 wang:2 figure:3 give:1 ds2:1 high:31 indicates:2 zahid:2 tab:5 arise:1 axis:4 requirements:1 energymomentum:1 conversation:1 discussion:1 means:1 far:1 significance:1 instead:1 parameter:2 gordon:1 simplicity:1 continues:1 singular:2 may:1 after:2 singularities:3 diagram:1 studies:1 waves:2 law:1 data:2 parallel:1 constants:4 short:1 light:2 appreciate:1 thorne:3 element:1 so:2 expression:1 order:5 radiations:1 move:1 satisfied:1 tba:1 paper:5 through:3 mentioned:4 satisfies:1 e2ψ:1 its:4 perfect:27 lb:2 la:4 ln:5 interesting:5 relativity:3 gen:2 forms:9 systems:2 derivative:1 freely:1 freeman:1 non:12 combination:5 outlined:1 indigenous:1 break:4 effects:6 oxford:1 singularity:32 now:3 discuss:3 represents:3 2v:3 2r:2 always:1 university:3 2e:1 d49:1 inequality:1 each:1 found:3 soc:3 d47:2 side:1 financial:1 generation:2 ed:1 energy:25 reduce:2 used:4 investigated:3 yield:1 quantum:5 our:4 approximated:1 eq:11 neighbourhood:2 out:5 rt:4 shown:7 rp:1 rq:12 rr:5 restricted:1 nuovo:1 since:3 rev:14 qc:1 particles:1 attracted:1 investigation:1 rel:1 conjectured:1 echeverria:1 occurs:2 math:1 shows:6 linear:7 dusts:2 formation:4 aziz:1 intermediate:2 phd:1 generate:1 e3:2 e2:5 r2:1 collapsing:7 cosmic:2 sheikh:1 turn:2 int:1 archibald:1 massive:1 speeds:2 first:6 harada:3 already:1 symmetry:5 striking:1 variables:4 infinite:1 spinning:1 alternatively:1 done:1 impossible:2 thick:1 miss:1 interchange:1 given:9 perturbation:15 asymptotic:4 similarly:1 introduction:1 meaningful:1 eqs:14 system:10 their:4 perturbations:4 expand:1 dt2:1 scheme:16 gives:1 shell:1 collapse:24 akad:1 deceleration:1 authors:1 than:2 john:1 determines:2 penrose:4 cimento:1 second:2 rgab:1 future:1 wheeler:1 behaviors:1 motivation:1 rab:2 san:1 case:18 b251:1 seen:3 null:9 any:2 self:1 gravity:1 chiba:1 take:13 forces:1 d46:1 inequalities:1 shall:1 most:1 nolan:3 eight:1 significant:1 cylindrically:4 measured:1 class:5 interacting:1 kb:2 ka:4 consequences:1 considered:3 clear:1 flow:3 velocity:4 physics:1 dot:1 laws:1 show:1 joshi:1 solutions:1 schmidt:1 keywords:1 determined:3 d2:23 agrees:1 d1:23 less:2 distributed:1 written:6 only:4 do:2 dominant:2 klein:1 get:2 db:14 fluid:19 dz:1 dx:10 new:1 combinations:1 du:6 ds:57 becomes:2 prime:1 evolution:2 densities:6 approach:1 arxiv:1 ahmad:1 summary:1 naked:14 investigate:4 morisawa:6 dγb:4 london:3 2p1:3 2p2:3 observer:3 ricci:3 klauder:1 see:1 result:2 iguchi:3 gravitation:1 tensor:11 away:1 wiss:1 diverge:1 symmetric:5 pressures:11 state:5 ua:8 subscript:1 conditions:3 d57:1 available:2 recently:1 emitted:2 weak:3 however:1 vanishing:11 hypothesis:2 piran:2 censorship:2 invisible:1 δd1:6 suggested:1 a102:1 limits:4 many:2 region:8 acknowledge:1 equal:2 emit:2 enabling:1 objects:1 retarded:1 whole:3 wald:1 generalisation:1 simple:1 kretschmann:1 corresponds:2 ingoing:1 cs:56 symmetries:1 considering:3 kinematic:1 pu:1 umber:1 due:3 been:6 commission:1 cauchy:1 hawking:2 basic:1 pj:3 pk:1 define:2 determinant:1 corresponding:4 quantities:2 formed:6 coincides:1 cosmology:1 gab:3 p2:40 p1:40 batch:1 will:4 while:2 behavior:3 nakao:10 property:1 taking:2 va:2 vb:1 larger:6 almost:1 characteristics:1 metric:1 thus:4 according:2 ii:1 vt:1 vw:1 claimed:2 vanish:6 conical:1 different:5 verified:1 perform:1 make:2 radiation:17 same:4 orders:1 unity:1 quant:1 finite:5 higher:1 literature:2 infinity:2 numerical:2 hand:1 purpose:1 dust:6 fellowship:1 normalization:1 2ds:2 com:1 well:3 analysis:6 without:1 components:4 researchers:1 spherical:1 composed:1 pakistan:2 obtain:3 rest:1 dφ2:1 spherically:1 differentiation:1 speed:31 previous:1 adding:1 density:3 seems:2 hall:2 source:2 valid:1 lett:3 remaining:1 momentum:7 asymptotically:1 aspects:1 2u:3 breaks:4 term:2 test:1 background:11 vacuum:3 press:2 using:10 advanced:3 theor:6 like:3 follows:10 velocities:13 δr:3 flux:7 yields:1 either:2 arbitrary:5 become:6 works:1 mathematical:1 because:1 people:3 some:10 bounce:1 francisco:1 provided:2 ellis:1 investigations:1 fluids:24 comments:1 does:4 provides:1 lahore:1 prog:5 ddb:1 proc:3 efes:1 pressure:5 ratios:1 tidal:2 properties:2 stage:1 about:1 pereira:1 central:1 carried:1 universe:2 discussed:1 o:4 2cs:2 remains:1 horizon:1 relativ:1 d65:1 consequently:6 d63:1 d62:1 outlook:1 unbounded:3 within:1 down:7 thankful:2 right:1 references:1 einstein:4 proportional:1 assumed:4 support:1 there:6 question:1 conservation:1 was:1 function:3 complete:1 form:8 phenomena:2 but:1 uncertainity:2 failure:2 repeated:1 line:4 versions:1 whether:1 ut:4 gravitational:35 up:4 us:1 until:1 below:6 limit:2 dv:7 problem:5 similar:1 called:3 ub:1 diverges:1 constant:8 defined:5 curvatures:1 abstract:1 describe:1 general:3 globally:2 exist:1 education:1 physical:5 functions:2 dotted:1 dashed:2 when:10 vanishes:2 sharif:2 field:5 other:2 role:1 2db:4 department:1 mathematics:1 massless:1 hayward:1 deviation:2 elements:1 generates:1 separate:1 felt:1 polynomials:1 includes:1 helping:1 important:2 bounded:11 shibata:1 structure:2 suffers:1 implies:2 assume:2 d22:1 time:11
0704.2648.txt |@word secondly:1 rom:1 magnetic:8 both:3 focus:1 illustrated:1 microwave:20 lewenstein:2 consists:1 calculate:1 collisions:1 finally:1 flopping:1 regal:1 cm2:4 advantage:1 far:1 induce:1 wave:1 figs:2 affect:1 bottleneck:1 bringing:1 markers:1 leads:1 vibrational:26 level:19 proposals:1 large:3 yale:1 small:4 prevent:1 demille:4 force:1 consistent:1 prediction:1 rate:1 chem:3 even:1 interatomic:2 trapping:5 deeply:2 experiment:2 above:1 new:2 d1:3 method:7 coefficient:2 respectively:5 inouye:1 atoms:14 explore:1 free:1 separation:3 strecker:1 strong:1 obtained:1 great:1 ultra:1 root:1 study:1 allows:3 example:1 published:1 proportionality:1 winkler:1 via:1 spatially:2 rkr:1 jin:2 apr:1 highly:1 apply:2 total:1 unit:1 use:5 usa:1 army:1 contains:2 tightly:1 calculation:3 approach:1 therefore:1 candidates:1 theoretical:1 more:5 babb:1 successful:1 thus:1 emission:1 cases:2 must:1 high:1 rotational:2 science:2 equation:1 averaged:8 oscillator:2 modified:1 temperatures:1 burnett:1 tiesinga:5 making:2 modifies:1 spontaneous:4 roomtemperature:1 wang:1 figure:1 process:6 relativistic:1 neglected:1 purposes:1 states:14 association:11 species:3 absolute:2 information:1 rather:1 dalgarno:1 ultracold:2 optimal:1 axis:3 preferable:1 pathway:2 simplicity:1 product:1 explores:1 allouche:2 after:1 santos:2 applications:1 produce:3 date:1 horizontal:2 data:1 natural:1 effective:2 spectra:1 lines:1 correspond:2 element:1 so:2 allow:1 acknowledges:1 order:4 typical:1 wigner:1 office:1 over:2 interpreted:1 produced:5 experiments:3 lattices:2 mentioned:1 existence:3 cold:8 linewidth:1 heteronuclear:1 its:1 before:1 perfect:1 controllable:1 group:1 fit:1 decay:4 energies:5 decreases:1 production:6 systems:2 insulator:1 rabi:3 might:3 eur:3 them:1 kotochigova:5 gasses:1 propose:4 functional:1 often:3 band:1 they:3 half:1 accumulate:1 developments:1 easily:1 always:1 university:2 successfully:1 2e:2 magnitude:2 trap:17 each:1 references:1 entirely:1 mean:1 square:1 aubert:1 energy:7 frequency:9 static:1 combining:1 quantum:2 our:9 transitions:10 shown:5 kerman:1 matrix:2 factors:1 restricted:1 furthermore:1 rev:20 research:1 increase:5 attracted:1 rb:1 ro:2 ref:1 occurs:2 shows:6 associate:1 possibility:1 advantages:1 intermediate:5 estimate:1 interaction:1 svetlana:1 created:3 determining:1 could:1 transition:31 motion:1 due:3 assumed:1 hence:1 first:7 there:1 number:4 smaller:1 done:1 least:1 damski:1 electronic:6 angular:3 given:1 grimm:1 temperature:1 needed:2 interact:1 system:1 approximately:1 their:2 perturbations:1 1e:2 rates:2 molecular:9 final:4 williams:1 gives:1 amiot:1 sengstock:1 option:1 trapped:2 floppy:1 exactly:1 homonuclear:1 optical:16 permanent:5 favorable:1 focusing:1 constituent:2 sublevels:1 believe:1 than:5 coefficients:1 population:1 observed:1 scheme:4 require:1 depends:2 inversely:1 determined:3 intensities:1 were:2 venturi:1 anderlini:1 raman:7 curves:1 any:2 relatively:1 strength:1 latter:2 downwards:1 isolated:1 mechanism:4 polarization:1 majority:1 potential:26 schematically:2 hyperfine:2 added:1 electric:7 molecule:9 most:1 letter:4 pair:3 denschlag:1 later:1 humbert:1 kw:1 principle:1 latest:1 physics:1 fact:1 show:4 mott:1 sage:2 dipole:37 coldest:1 threshold:1 d2:3 find:1 schmid:1 ground:13 x1:14 only:4 black:1 molecules:53 exceptional:1 dependent:2 words:1 probably:1 julienne:6 during:1 dr:1 fields:4 arxiv:1 motional:1 thalhammer:1 resonance:1 body:2 set:1 achieved:2 arimondo:1 relative:2 intensity:1 result:1 best:1 suffer:1 sites:2 symmetric:1 state:27 µk:1 between:5 drawn:1 conditions:1 available:2 recently:1 vertical:1 nature:4 qubits:1 attention:1 however:4 ospelkaus:2 configuration:1 observable:1 prospects:1 last:4 many:4 equal:1 chosen:1 figures:3 experimental:1 strongly:1 relevant:1 cm:13 simple:1 harmonic:9 non:1 moreover:1 bongs:1 described:1 second:3 addition:2 create:3 rb2:1 been:6 detuning:1 pa:2 slowly:1 donley:1 expected:1 hecker:1 ph:1 fig:11 life:2 radiofrequency:1 quantities:2 sufficient:2 formed:4 photon:5 convert:2 confinement:2 external:2 goral:1 p1:1 solid:3 routes:1 value:2 will:9 while:1 behavior:2 property:1 binding:11 site:3 good:1 confining:2 different:3 φv:2 author:1 lengths:1 make:1 lett:14 same:4 quant:1 schematic:1 largest:1 units:2 dimensionless:2 iγ:1 higher:1 used:3 numerical:1 effect:1 hand:1 driven:1 moment:18 levels:28 deff:1 ferlaino:1 potentials:10 changing:2 bergeman:2 tighter:1 weakly:2 traps:2 well:4 bohn:3 feshbach:7 vibrationally:17 components:1 drawing:1 researchers:1 posses:1 distances:1 proposed:3 less:1 moments:8 accurate:1 shape:1 atomic:4 spherically:1 followed:1 scattering:1 electronically:2 dissociation:1 zoller:2 lattice:9 combine:1 bigger:1 excited:14 momentum:2 rbcs:13 results:2 corresponds:3 confined:3 using:4 unique:2 mod:1 loss:2 alternatively:1 benefit:1 mhz:8 either:4 downward:1 function:6 methods:1 creation:2 verges:1 nonzero:2 dense:1 resonances:4 measurements:1 per:1 does:4 porsev:1 cloud:1 dissociates:1 three:1 temple:1 demonstrated:1 converts:1 conventional:1 step:2 olsen:1 although:1 rovibrational:2 properties:2 panel:8 comparison:2 about:2 dependence:1 simulation:1 range:2 plus:2 krb:14 insufficient:1 upward:1 slightly:1 processor:1 own:1 significant:2 into:9 within:1 splitting:1 bound:12 uncontrolled:1 phase:1 promise:1 determine:1 proportional:2 envision:1 uncertainties:1 rely:2 additional:1 transfer:1 support:1 initial:1 philadelphia:1 long:2 dispersion:1 stwalley:2 photoassociation:8 was:3 formation:2 uncontrollable:1 opposed:1 lowest:6 lang:1 herbig:1 form:1 forming:1 volume:1 atom:1 derevianko:2 hc:4 line:4 proposal:2 made:2 applying:2 baranov:1 maximum:2 us:1 below:2 converted:1 limit:3 verification:1 detailed:1 khz:5 cirac:1 associated:1 single:4 lifetime:2 jaksch:1 compared:1 no:1 dashed:2 wavefunction:2 when:1 field:12 other:7 department:1 optically:1 polar:15 elements:1 searched:1 update:1 prepared:1 a3:16 ticknor:1 structure:2 upwards:1 jones:1 assume:3 rotationless:1 tiemann:1 together:1 time:3 starting:1 once:1
0704.2649.txt |@word represent:1 consider:2 establishes:1 illustrates:1 focus:1 existing:2 eds:2 entropy:1 go:2 follow:1 denotes:1 relationships:1 simon:2 terms:1 calculate:1 graph:1 technique:1 baillie:1 originality:2 present:1 under:7 quarterly:1 stochastic:1 nodes:1 include:1 worth:1 case:3 fax:1 supported:1 risk:10 advantage:1 very:5 connects:2 results:3 every:1 difference:1 condition:3 severely:1 presented:1 evaluation:1 list:1 fewer:2 large:2 independence:2 scores:3 indices:3 biological:2 referred:2 deleting:1 ten:1 measurable:1 consists:1 likely:4 substituting:1 further:1 implemented:1 haake:9 index:28 what:1 clock:1 section:2 while:1 shares:2 current:1 annals:1 above:2 designing:1 international:1 tips:2 contributes:1 method:1 chose:1 respectively:1 here:3 red:1 protection:1 groups:1 others:3 represented:1 path:4 equations:1 change:1 extreme:1 biodiversity:5 institute:2 study:2 larger:1 leaving:1 suggests:1 aki:1 resulting:1 christchurch:1 usually:1 myers:2 makes:1 uniquely:1 via:2 followed:2 divide:1 scales:1 apr:1 marginal:2 extinctions:3 highly:2 flexibility:1 decrease:1 summation:2 apply:1 orderings:1 extinction:19 unit:1 readily:1 use:3 figure:4 would:1 probabilities:5 positive:3 contains:1 predictions:1 next:5 scenarios:3 depicted:1 ψi:30 call:2 therefore:1 criteria:1 ψb:1 survive:4 ψa:3 assessment:1 theoretical:1 today:1 more:10 formally:1 successful:1 becomes:1 wildlife:1 dissimilarities:2 phone:1 berlin:2 appendix:4 particular:1 known:1 cases:1 hold:2 iii:2 potential:1 none:2 animals:1 recall:1 equation:1 axiom:1 besides:1 vs:2 values:8 ms:1 concepts:1 following:4 making:1 root:8 example:6 unconditional:1 proof:6 compare:2 indicated:1 do:1 process:1 high:4 heard:2 want:1 species:76 influenced:1 recovery:1 rather:2 describes:1 discussion:1 holds:3 mike:1 feature:1 write:2 how:7 adjacent:1 exponentially:1 incorporated:1 information:1 may:7 aom:2 derived:1 expectation:3 explored:1 studies:1 cambridge:2 klaas:1 efficiently:1 short:2 branches:3 counter:1 sv:3 su:1 2005a:1 provide:1 si:45 sh:6 so:8 correlation:1 definitions:1 order:2 evolutionary:6 interpretation:1 indeed:1 pointed:1 fraser:2 vary:1 choose:1 years:4 course:1 surviving:1 paper:3 london:1 thesis:1 satisfies:1 its:11 operative:2 rooted:12 quantifies:1 group:3 lc:15 directional:1 chosen:1 rankings:2 expectations:1 parts:2 fig:4 imw:1 persist:1 isaac:4 might:3 pruned:1 lipman:2 affected:1 greater:1 reveal:1 dam:1 units:2 february:1 they:7 oxford:1 now:7 possess:1 easily:2 term:2 lies:1 always:1 university:5 level:1 identified:1 grows:1 phylogenies:1 each:8 mean:1 subset:6 en:9 ei:1 directly:3 ek:2 fairly:1 ed:1 idea:1 related:3 society:1 currencies:2 increases:1 obtains:1 begun:1 measure:6 our:4 pareto:1 event:4 special:2 out:3 canada:4 shown:1 factors:1 quantify:2 clade:1 since:5 induces:1 viability:1 research:2 increase:4 weighted:1 kent:1 maximized:1 denoted:1 formula:2 cause:1 occurs:1 math:1 shows:1 theory:2 threatened:2 differ:1 brooks:1 quite:2 five:3 small:1 approaches:1 pendant:4 members:1 org:1 likelihood:1 e2:2 definition:2 unrooted:13 selections:1 inspection:1 could:2 similarly:1 priorities:2 times:1 length:7 canterbury:2 threat:4 assign:2 2005b:1 first:6 major:1 already:1 features:4 probability:8 number:2 rank:1 nested:1 least:2 another:1 twelfth:1 precisely:4 manuscript:1 given:10 e1:3 hedging:1 biomathematics:1 attach:1 introduction:1 twenty:1 top:1 approximately:1 their:8 returns:1 assumption:3 listed:2 convention:1 perfectly:1 grant:1 big:1 part:2 because:4 somewhat:1 than:3 population:2 steel:5 distance:3 colleagues:2 molecular:1 critically:2 tree:22 rarity:1 reconstructing:1 appealing:1 future:11 pairwise:1 aas:1 were:2 visited:1 inferring:2 pre:1 lowest:1 motivation:1 plos:1 respecting:1 rao:1 fonseca:1 say:2 dufour:1 disjoint:1 seen:1 element:1 saw:1 any:2 vulnerable:2 relatively:1 strength:1 academic:1 latter:1 isolated:2 note:2 instance:3 relatives:6 concerns:1 take:1 interior:1 bets:1 added:1 centre:1 measures:7 metrics:3 most:6 germany:1 amongst:2 contrasts:1 measured:2 pages:2 destiny:1 zealand:2 latex:1 give:1 especially:1 considered:1 average:1 adopt:1 valuing:1 ext:16 quadratic:1 typically:1 sum:6 fact:1 quantity:1 show:2 chances:1 random:8 cheap:1 discovered:1 keywords:1 taxonomic:1 indicator:2 highest:1 based:6 title:1 cousins:2 heavily:1 should:2 terminal:1 being:1 only:6 taxonomy:1 marsden:1 over:5 ranking:3 goes:1 simplest:1 account:1 trees:10 da:1 rest:1 words:2 new:9 applying:1 hedge:6 primates:3 areas:1 emd:1 evolution:2 increasing:1 arxiv:2 acknowledgments:1 dpf:1 qe:1 common:1 contain:1 qm:1 hotspots:1 set:9 computed:2 generally:3 unpublished:1 correlations:1 notice:2 distantly:1 see:8 individual:2 result:1 close:5 forthcoming:1 incorporating:2 concern:1 pedigree:1 review:1 tend:1 macros:1 behind:1 score:6 enumerated:1 between:2 neither:1 before:1 approach:4 available:1 comparable:1 recently:1 uk:1 extend:2 nature:3 distinct:1 complement:1 aesthetic:1 combining:1 however:5 jl:1 efficiency:1 incident:3 ranked:4 accessed:1 bivariate:1 problem:1 thank:1 divergence:2 both:4 waterman:1 many:1 taking:1 equal:3 nserc:1 april:1 games:1 dated:1 context:1 designations:1 contribution:8 genus:1 expression:1 asked:1 aye:4 ci:9 relevant:2 co:2 simple:2 ca:1 address:1 allocates:1 community:1 sampling:1 initiative:2 consideration:1 polynomial:2 moreover:1 extinct:6 considers:1 described:2 sara:2 three:2 been:3 quickly:3 genetic:1 much:3 pd:2 pe:2 expected:15 deduced:1 empty:1 define:1 direction:1 contribute:4 diversity:12 received:2 theorem:16 policy:1 dave:1 observe:1 extant:2 assigning:1 spirit:1 those:3 applied:1 ǫb:2 subsets:4 ǫj:11 ǫi:4 bill:1 value:26 choices:1 will:11 receive:1 near:2 suppose:1 evaluating:2 wild:1 situation:1 property:1 leaves:1 real:1 almost:1 metric:1 ir:9 thus:5 them:3 according:1 ii:3 good:1 vu:11 vos:4 claimed:1 ie:5 different:6 author:1 lengths:12 government:1 same:2 highlighted:1 verifies:1 split:1 largest:1 modification:1 descended:1 events:1 status:1 independent:2 extended:1 http:1 assigns:1 assignment:1 effect:1 phd:1 edges:9 portal:1 v5:1 interested:1 cr:5 focal:7 recent:1 suitable:1 changes:1 well:1 subtree:5 person:1 edge:18 sets:4 position:1 model:1 otherwise:1 comprise:1 reconstruction:1 just:3 less:1 taxa:5 tip:1 obtain:1 valuable:3 assigned:1 shape:2 yet:1 previous:2 accepted:1 kluwer:1 endangered:6 guaranteed:1 add:1 other:7 problematic:1 complements:1 save:1 surprised:1 gave:1 identical:1 bio:2 increased:1 represents:1 advances:1 survival:1 measurement:1 possible:4 test:2 game:2 phylogeny:9 press:3 using:5 unique:4 advanced:2 heightened:4 loss:1 showing:1 like:1 success:1 alternatively:2 interestingly:1 burnaby:1 altschul:1 specific:1 supertree:1 either:3 follows:3 simply:1 mathematical:2 www:2 shapley:13 affects:1 conditional:1 some:8 hartmann:3 trends:1 prioritization:1 choosing:1 specified:1 proofs:1 total:1 leaf:6 lead:1 broad:1 conservative:1 does:2 connecting:3 minimal:2 measuring:1 biology:3 sfu:1 bold:1 sixth:1 arbitrary:1 phylogenetic:21 likewise:1 although:3 analyses:1 prepared:1 properties:2 takes:5 faith:2 sister:1 working:1 theorems:1 taxon:3 o:5 costs:1 ǫc:1 range:1 important:1 act:1 acyclic:1 consequently:1 predictor:1 own:2 letters:1 into:4 within:1 variable:3 appropriate:1 ecology:4 references:1 actions:2 primarily:1 balanced:1 distinctiveness:4 additional:1 combinatorics:1 support:1 there:3 question:1 long:1 hed:24 conservation:16 low:2 way:1 andy:1 was:2 assumes:1 function:2 survives:2 mammals:1 but:8 ψc:1 evolutionarily:1 trying:1 partially:1 made:1 compute:3 intuitive:1 up:1 dordrecht:1 below:1 converted:1 ψd:1 arne:1 imbalanced:1 distribution:2 ψe:1 similar:2 calculated:1 ac:1 associated:4 computing:7 defined:3 certain:3 abstract:1 describe:4 linearity:2 life:3 denote:9 globally:3 single:1 right:1 ottawa:1 corresponding:1 computational:1 compared:2 no:2 dashed:1 whereas:2 when:3 detail:1 application:1 nz:1 setting:2 details:1 branch:5 formalize:1 er:11 nt:19 nu:1 poor:1 category:1 elements:2 star:1 categories:3 includes:3 ecological:1 scale:2 birds:1 included:2 depicting:1 building:1 algorithm:3 fund:1 required:1 together:2 weights:3 time:7 far:1 distributional:1 requires:1 original:2 once:1
0704.2650.txt |@word neighbors:3 urbana:2 partial:2 consider:4 gp:15 forbidden:1 results:1 illustrated:1 edu:2 consists:1 gi:4 analiz:1 compact:1 whose:9 graph:35 technique:2 tj:2 those:3 under:10 x01:1 alternating:2 applied:1 conjecture:2 g3:1 g2:4 g1:5 far:1 choice:1 wishes:1 every:13 decide:2 condition:14 x0k:1 four:1 school:1 beginning:1 solution:1 fewer:1 t1:2 leave:1 discrete:1 form:2 deleting:2 enforce:1 prevent:1 smaller:1 neighborhood:2 zi:1 zk:1 dealing:1 boca:2 zero:2 odd:2 even:6 index:2 t2k:1 appear:2 section:2 selected:1 henceforth:1 waiting:1 above:1 new:1 method:1 raton:2 satisfy:3 full:12 degree:20 exchange:1 respectively:1 component:17 here:4 desired:1 directions:1 path:46 along:6 teacher:1 obtained:2 property:1 incoming:1 colored:5 receive:4 larger:1 allows:1 colourings:1 odense:2 yˆ:7 resulting:3 yi1:7 y11:2 y13:1 y12:1 via:3 family:3 apr:1 planar:1 outerplanar:1 flexibility:1 armen:1 apply:1 bound:1 use:3 takes:1 prove:1 distinct:1 positive:2 contains:1 next:7 partite:2 call:2 therefore:1 care:1 type:4 achieving:1 more:2 introducing:1 y2i:4 adjacency:1 pairs:1 award:1 particular:1 hold:1 must:5 endpoint:7 zi1:1 work:1 labeled:1 containment:1 hansen:3 example:9 proof:7 f1:7 f2:7 weaker:1 conf:2 figure:4 give:1 arise:1 minimum:1 cubic:1 allowed:2 scheduling:2 exclude:1 spanning:8 npcomplete:1 ti:9 end:10 gcd:3 provide:2 holds:1 occur:2 write:1 necessary:1 nontrivial:1 colorability:2 adjacent:5 instead:1 oping:4 simplicity:1 replacing:2 earlier:1 containing:1 inst:1 zij:1 mai:1 fi:3 fl:2 yielding:1 element:3 switch:3 maintain:1 so:7 putting:1 bipartite:21 se:2 operations:1 receives:4 six:1 ith:1 indeed:1 alternation:2 paper:1 through:2 thesis:3 y1:12 existence:6 y3:5 y2:5 its:4 perfect:2 x1i:2 chosen:1 fix:1 bipartition:2 offers:1 degrees:1 choose:1 intl:2 covered:1 yi:5 kostochka:2 yj:4 motivated:1 later:1 diskret:1 indexing:2 detour:1 isomorphic:3 yx:1 they:4 half:1 h98230:1 now:3 nor:1 name:3 university:6 each:40 found:3 2k:2 subset:1 ei:3 matchings:1 hard:1 related:1 gaps:1 combining:1 loops:1 our:7 z11:1 large:1 shown:3 factors:12 furthermore:3 since:17 douglas:1 denotes:1 may:6 investigation:1 denoted:1 suffices:1 math:7 shows:1 after:1 theory:4 associate:1 carl:2 put:1 e1:2 generate:2 e2:2 definition:4 uiuc:2 determining:1 used:2 creates:1 length:13 circuit:1 hence:7 assign:1 first:3 xj:5 xi:5 manuscript:1 number:3 congr:2 ars:2 construct:6 another:2 clarity:1 ser:1 given:3 cartesian:1 needed:1 introduction:1 unknown:2 system:2 least:2 yij:2 their:1 master:2 convention:1 final:1 gives:1 danish:1 exactly:5 part:4 x2:2 x3:2 x0:8 x1:3 than:2 specify:3 distance:2 showed:3 matter:1 sweden:3 classes:2 pairwise:1 doubly:1 yi3:3 yi2:3 say:1 need:3 seek:1 any:9 paths:19 constructions:1 smallest:2 complexity:1 mechanism:1 k3:1 liu:1 recognizing:1 internal:6 k6:4 finding:1 combin:6 begin:1 multiple:13 x0i:4 english:1 what:1 most:7 regular:24 eight:2 pair:1 kb:1 neighborhoods:4 neighboring:1 adopt:1 cover:4 vertices:34 graphs:19 construction:3 z2i:2 notion:1 fact:1 joining:1 particularly:1 show:1 meetings:1 supported:1 ending:3 colors:22 keywords:1 find:1 3k:2 coloring:35 based:2 should:1 lemma:8 only:7 explicitly:1 factor:31 do:1 triangle:1 dh:1 get:1 trees:1 cannot:2 altogether:1 colorable:1 dp:1 dq:3 transversal:32 covering:3 denmark:1 arxiv:1 discr:1 common:2 cycles:11 remains:1 set:6 constructing:1 exists:2 unpublished:1 depends:1 result:2 satisfies:2 fails:1 parent:1 metody:1 partition:1 difficulties:1 various:2 consecutive:6 neither:3 conditions:4 available:1 ends:1 triples:7 extend:2 numer:2 however:1 incident:9 cut:1 suggested:1 both:4 x2i:8 x2j:4 many:3 taking:1 incomplete:1 april:1 bigraph:31 context:1 southeastern:2 arbitrarily:2 among:1 co:1 conclude:1 simple:11 corresponds:1 subgraphs:4 polynomial:1 intersects:1 slots:2 considering:1 restriction:1 union:2 west:2 three:4 appears:2 spread:10 combined:1 pk:1 colorings:16 define:3 direction:1 corresponding:1 sufficient:5 formed:1 observe:1 bull:1 general:3 present:3 divisor:1 case:8 p3:5 multi:1 p1:1 p7:14 p5:2 p9:1 will:4 while:1 suppose:1 teachers:1 applies:1 endpoints:11 precede:1 notation:1 orientation:1 conferences:2 thus:10 them:1 systems:2 middle:3 il:2 triple:8 return:1 disappear:1 different:1 lengths:6 belong:1 same:1 largest:1 products:1 gets:2 difficult:1 independent:11 extended:1 assigns:1 closest:2 lie:3 absorb:1 hand:2 edges:38 uses:3 colouring:1 robust:1 eulerian:2 cycle:12 lower:1 scenario:1 nevertheless:1 xji:2 analysis:1 without:3 person:1 edge:33 greatest:1 components:7 sets:4 model:1 johan:2 obtain:3 k2:5 ng:1 letting:1 adding:4 doctoral:1 note:4 infinitely:3 alternate:2 seems:1 k1:8 color:16 interested:1 extends:1 easy:2 theorem:7 guarantees:2 sim2:1 z1:1 possible:2 five:2 press:1 using:9 decomposes:2 valent:1 bigraphs:10 like:1 vandenbussche:1 yields:3 arbitrary:1 claw:1 because:1 33rd:1 grids:1 people:1 some:7 back:1 jennifer:1 examples:4 28th:1 convex:1 proper:35 matching:1 umu:1 separately:1 avoid:1 ume:2 does:7 x3i:2 proc:2 tk:1 destroys:1 bold:1 schedule:1 deleted:1 bi:2 ple:1 although:1 biregular:44 stage:1 integers:2 central:2 extending:1 o:2 yk2:1 yk1:2 extensions:1 neighbor:4 mixed:7 connected:8 introduced:1 nsa:1 into:5 toft:2 copies:3 lies:2 references:1 novosibirsk:1 additional:1 3k2:2 there:6 u1:2 start:1 restricts:2 appl:2 way:1 forward:1 was:3 complete:5 subgraph:25 forming:1 but:10 repeated:2 properly:1 link:4 russian:1 auxiliary:1 pi:3 consist:2 whether:6 multiplicity:1 maximum:1 below:2 uk:2 problem:1 delete:1 interval:39 proved:5 computing:2 defined:4 abstract:1 describe:1 covers:3 denote:2 single:1 exist:1 periods:1 families:1 check:2 triangles:2 constructed:1 again:2 no:17 when:6 illinois:2 disjoint:10 other:11 np:1 elements:2 vertex:39 hanson:4 independently:1 implies:1 longer:2 expands:1 required:1 together:1 original:2 4k:2 time:3 starting:5 having:12 once:1
0704.2651.txt |@word limited:1 consider:4 equalizer:1 gupta:1 madsen:1 results:4 hannel:1 cooperative:2 edu:3 consists:2 expressions:3 whose:1 aug:1 finally:11 depending:1 th:1 under:3 nodes:3 ptimal:1 random:1 orthogonal:17 every:3 figs:1 entries:2 convexity:1 wa:1 presented:1 sensor:2 solution:11 vector:4 hanly:1 subscript:2 uture:1 polymatroid:1 employing:2 zd:4 rate:45 uk:1 further:1 zr:2 sum:29 analogously:1 henceforth:1 rutgers:4 3c:30 3b:29 3a:35 satisfy:14 full:1 evaluating:1 respectively:5 realizations:1 here:1 bi:2 water:9 obtained:7 remark:6 wijngaarden:1 receive:3 involved:1 study:2 studied:4 suggests:1 rdf:8 resulting:9 involves:1 mutual:1 term:3 apr:1 clara:1 scaled:5 pp:4 achievable:1 apply:1 total:1 unit:1 readily:2 instantiation:1 proceed:1 commun:1 destination:16 brunswick:2 until:1 more:1 relay:47 share:2 cooperate:1 appendix:1 known:5 cases:19 hold:1 iii:2 logarithm:1 quantized:1 cluster:4 science:1 challenge:1 straddle:1 following:3 strategies:3 trans:5 root:1 example:2 proof:1 control:1 transition:3 links:1 νr:1 process:2 expanding:1 organized:1 states:4 νk:4 information:3 hoc:1 s2:1 six:3 regions:2 optimal:28 fr:1 replacing:1 max:32 plane:1 cambridge:2 fj:2 fk:14 parallel:1 38th:1 june:3 inform:6 interpretation:2 developed:4 over:11 symbols:1 paper:1 through:1 argued:1 ntroduction:1 satisfies:3 ieee:8 its:3 before:2 write:8 computers:1 duplex:7 interesting:1 solving:1 concavity:2 fig:12 policy:19 setting:3 them:2 press:1 kkt:11 yd:5 tucker:1 effects:1 they:5 half:6 nov:2 yr:3 transmitter:3 vandenberghe:1 equality:4 always:1 university:4 level:1 concave:1 filling:9 inequality:5 transmitted:1 each:18 el:1 weighted:1 successively:1 formulate:1 gaussian:5 combining:1 our:2 b3a:3 b3b:2 b3c:2 maximizes:4 shown:8 network:7 rr:4 rs:3 since:4 research:1 rd:4 maximized:4 gamal:1 suffices:1 occurs:4 rk:25 foundation:1 ece:2 theory:6 incentives:1 admits:1 base:1 conditioning:1 log:2 pairs:2 ate:1 r1:27 r2:27 geometry:6 could:1 omit:1 messages:1 multiaccess:8 first:8 xk:1 simplifies:10 transmitters:1 encoding:1 omitted:1 variables:1 coding:1 channels:3 simplified:1 another:3 xr:3 forwarding:1 open:4 summarize:1 illustrate:1 given:13 necessarily:1 similarly:1 their:2 assumption:1 brevity:1 observations:1 realization:1 second:2 white:1 bits:1 gives:1 fraction:6 exactly:1 part:2 authors:1 x2:2 x1:3 than:3 maximizing:6 princeton:3 require:1 zero:1 submitted:1 determined:3 decoded:1 ani:1 generalization:2 say:1 need:1 constrained:1 fading:23 boyd:1 min:19 sankar:1 narayan:2 take:1 transmit:5 channel:33 continuous:1 multiple:1 systems:1 extending:1 pair:5 considered:1 average:2 cover:1 section:3 fact:2 show:6 supported:1 solutions:2 threshold:3 corner:1 networks:4 access:1 based:2 outside:1 terminal:1 sankaranarayanan:2 oct:1 achieve:1 do:5 gains:5 notation:2 means:1 df:11 expectation:1 joint:2 geometric:2 reveal:3 resource:8 arxiv:1 allocations:2 vincent:1 fixed:5 requirement:1 set:17 computed:1 exists:1 achieved:11 physically:1 national:1 testing:1 maximum:5 achieves:3 see:8 result:4 opportunistically:3 subject:3 closer:1 satisfying:5 capacity:5 inequalities:2 symmetric:1 state:3 cooperation:1 between:3 simplifying:1 boundary:22 conditions:17 olicy:1 terms:1 parallels:1 extend:2 receivers:2 however:3 hypothesis:1 jointly:1 multiplier:3 problem:6 topology:1 both:3 tangible:1 throughput:1 region:10 annual:1 according:2 ln:4 veeravalli:1 receives:1 receiver:8 passing:1 expression:1 tse:1 conclude:1 ca:2 cf:2 eferences:1 grants:1 maximize:3 lagrange:5 cs:1 allocated:3 decouples:1 pr:12 ensures:1 geometries:3 marc:19 union:2 computing:1 three:3 strategy:3 int:1 odel:1 pj:6 pk:25 pl:3 define:2 ergodic:7 diversity:4 θc:6 asilomar:1 observe:5 optimality:2 last:1 general:1 present:2 case:78 multi:1 variances:1 engineering:1 choices:1 will:1 dept:3 while:6 optimization:13 replaced:2 policies:6 larger:2 cell:1 vol:4 averaging:1 thus:4 non:3 iv:2 ii:2 quantize:1 conf:2 ower:1 zhang:1 seattle:1 capture:1 different:1 italy:1 circularly:1 same:6 any:3 complex:1 arguments:1 ummary:1 several:1 independent:2 used:2 knopp:1 functions:1 hand:2 allocation:8 uses:1 user:17 numbered:1 scaling:1 modes:1 modeled:1 well:1 analysis:1 ccr:1 sets:3 model:5 gastpar:1 exploits:3 theorems:3 captures:2 kramer:4 obtain:2 sources:11 bandwidth:1 proximal:1 note:5 now:4 ease:1 point:3 except:1 capabilities:1 signals:1 source:12 belongs:1 theorem:6 remaining:7 generalized:1 karush:1 capacities:1 possible:1 corresponds:1 five:2 know:1 clustered:6 using:3 intersection:2 marcs:1 follows:3 signal:2 serves:1 communications:3 either:3 exploiting:1 output:1 stationary:2 reduces:2 poor:2 classified:1 often:2 some:3 pacific:1 multiuser:6 waterfilling:3 b1:18 b2:8 convex:4 provided:1 proceeding:1 cns:1 collect:1 broad:1 minimax:1 overlap:1 instantaneous:2 allocate:1 intersections:1 proc:4 conference:1 noise:2 power:15 schedule:2 bl:2 bm:1 processing:1 communicate:2 use:5 host:1 symp:1 santa:1 offset:1 constraint:2 pu:3 reliminaries:1 dependence:1 o:3 range:1 ensure:1 sept:2 other:5 contains:2 presence:2 intl:1 into:2 within:1 functional:1 lies:3 accounts:1 determine:5 statistics:2 van:1 additional:1 assumed:1 there:3 specifically:1 decode:1 strict:1 liang:2 forward:3 transitioning:1 was:1 function:5 considerably:1 north:2 form:5 hr:16 sequel:1 but:3 wireless:2 hk:1 ork:1 hierarchical:1 decodes:1 hm:15 hd:15 applying:1 transmits:6 bounds:3 us:1 um:1 grove:1 below:1 those:2 kuhn:1 planes:1 highlight:1 distribution:1 similar:1 called:2 ad:1 classic:3 defined:4 abstract:1 b3:8 condition:8 opportunistic:8 denote:8 single:3 corresponding:1 nj:3 xki:1 no:7 when:12 detail:1 multipliers:2 disjoint:2 priori:2 electrical:1 np:1 node:4 category:4 draw:1 users:8 models:1 symbol:1 categories:1 includes:2 structure:1 implies:1 longer:1 assume:1 starting:1 changed:1 rule:1 time:3 mandayam:3 requires:1
0704.2652.txt |@word limited:1 monte:1 majumder:1 cincinnati:2 chinese:1 fedotov:1 magnetic:2 results:5 calorimeter:1 quadrature:1 latter:1 brodzicka:1 contributions:2 natkaniec:2 pointing:1 albrecht:1 show:2 including:1 nippon:1 efficiencies:3 tanaka:1 excluded:1 under:1 must:1 golob:1 summarizes:1 applied:2 zhang:1 soni:2 choice:2 ishikawa:1 sidebands:2 polytechnic:1 experimentally:1 difference:2 unno:1 states:1 drutskoy:1 mb:2 hawaii:2 large:3 vector:2 somov:1 klm:1 small:2 overlaid:1 configurations:1 favoured:1 bondar:1 villa:1 protons:7 requirements:3 past:1 go:1 second:3 equal:1 chen:2 further:1 dynamics:1 carlo:1 abe:4 selected:1 while:1 tohoku:2 kuo:1 tail:3 above:2 abashian:1 new:5 order:1 method:1 contrast:1 counters:3 body:4 million:2 tikhomirov:1 lee:3 respectively:6 nakao:1 here:3 understanding:1 adachi:1 sevior:1 mev:15 china:2 mes:1 represented:1 ratio:3 taylor:1 implicit:1 obtained:2 tsai:2 arc:1 structures:1 institute:12 study:1 larger:1 simultaneous:2 products:1 fernandez:1 resonance:5 chang:2 studies:3 taipei:2 mizuk:1 via:3 projection:1 panjab:1 instr:3 stariˇc:1 protvino:1 frame:2 beampipe:2 apply:1 meson:5 select:2 plot:1 use:6 khan:1 usa:1 charge:2 aubert:2 few:1 nucl:4 mori:1 kl0:1 hanyang:1 taken:1 theoretical:2 more:2 fractions:5 ohshima:1 conclusions:1 apparent:1 normalized:4 excellent:1 known:1 ozaki:1 women:1 kumar:1 account:2 mc:5 tokyo:8 cas:1 science:1 selections:1 blacksburg:1 seidl:1 could:2 three:5 gershon:1 gabyshev:4 ulf:1 hiroshima:2 beijing:2 wang:6 eg:1 process:2 sokolov:1 chung:1 significances:1 sample:4 numbers:1 arise:1 browder:1 occur:1 axis:2 information:1 united:1 csi:1 verify:1 means:1 feature:1 arrangement:1 located:2 hou:5 significance:6 shibuya:1 nara:2 wolfram:4 seoul:5 may:1 rescattering:2 after:1 confirmed:1 fb:2 plane:1 demonstrating:1 date:1 spectrometer:1 okuno:1 data:9 response:1 third:3 entem:1 krf:1 schneider:1 ueno:1 correspond:1 parameterized:1 hypotheses:1 sendai:1 sect:2 fundamental:1 correlation:1 species:1 cherenkov:1 scintillation:1 counted:1 operations:1 kbn:1 inami:1 undetected:1 nii:1 years:1 matsumoto:1 paper:1 through:2 statistical:8 japan:2 cole:1 avenue:1 its:1 sλ:1 revived:1 lb:1 jersey:1 fit:9 decay:18 tracks:1 masses:1 coordinates:1 li:2 better:1 window:1 meissner:1 fig:9 total:1 liventsev:1 yamauchi:1 versus:1 qq:1 nsc:1 return:1 greater:1 processes:1 primary:2 instrumented:1 they:1 copious:1 mbc:21 niewodniczanski:1 continuum:2 university:39 sideband:4 identified:2 2d:1 peking:1 mode:2 l0:2 each:1 found:2 likelihoods:1 soft:1 determine:1 accelerator:2 ee:1 kang:1 energy:10 gaussian:1 eb:2 decays:7 ex:2 measure:1 into:2 operation:1 summary:2 agriculture:1 fu:1 yonsei:1 tagajo:1 watanabe:1 open:1 dst:1 urbana:2 rev:20 research:3 hoshi:1 nominal:4 gaussians:2 superimposed:1 conjectured:1 mandl:1 ref:1 integrated:1 sumiyoshi:1 uncertainties:1 ecl:1 tian:1 switzerland:1 included:1 york:1 likelihood:4 braˇcko:1 pairs:4 interaction:1 r2:2 sahoo:1 widths:1 itoh:1 takasaki:1 silicon:3 rosner:1 danilov:1 medvedeva:1 barberio:1 gorica:2 first:7 major:1 probability:1 requirement:4 comprised:1 channels:1 fits:1 computing:1 array:1 varner:1 angular:1 city:1 xie:1 geant:2 leder:1 histograms:2 tata:1 system:3 approximately:1 parallel:1 their:3 jen:1 final:5 gives:1 fraction:4 asymmetric:2 baryon:3 moscow:1 park:3 binned:1 honolulu:1 than:6 center:2 distance:1 miyazaki:1 princeton:2 tof:2 require:8 zero:1 hazumi:1 future:2 iron:1 were:3 india:1 kerbikov:1 cheon:1 russia:1 nagasaka:1 spectrum:1 curves:2 dash:1 conjugate:2 miyake:1 constrained:2 any:1 catholic:1 hayashii:1 efficient:1 lin:1 chiba:2 sciences:1 high:4 take:1 academy:1 finding:1 detector:9 inverted:5 investigations:1 track:1 zeroth:1 collaboration:18 victoria:1 detect:1 charm:1 position:2 nothing:1 coil:2 intrinsic:1 branching:7 observation:4 windows:1 average:1 hayasaka:1 piilonen:1 pλ:2 physics:9 fitted:1 nsfc:1 selection:1 cdc:2 text:2 kwon:1 senyo:1 threshold:5 find:1 d0:2 cell:1 finally:1 based:1 baryonic:4 outside:1 usov:1 candidates:8 misidentified:1 dn:2 do:2 gev:20 get:1 champaign:1 dd:1 de:1 pions:3 beam:4 cannot:1 dz:4 valuable:1 dx:1 drawn:1 report:3 reconstruct:2 dr:3 ds:50 kyungpook:1 produced:1 garmash:1 ks0:8 sources:2 luminosity:1 arxiv:2 yield:1 bay:1 common:1 contain:1 release:1 ohio:1 fixed:2 satisfy:5 bars:1 res:2 sep:1 national:5 correlations:1 observed:1 checks:1 see:3 lausanne:2 radius:2 cleo:3 uncorrelated:1 yamaguchi:1 computer:1 federal:1 nuclear:2 opening:1 lmax:2 state:6 won:1 identification:4 between:4 invariant:8 babar:2 solenoid:2 yamashita:1 hayama:1 korea:2 kek:3 budker:1 however:1 hefei:1 efficiency:5 jn:1 consists:1 group:5 suppressed:1 thank:1 cos:5 bozek:1 tsukamoto:1 uncertainty:3 asymmetry:2 ln:1 contribution:1 estimation:1 experimental:2 uno:1 cm:6 point:1 proton:1 dimensional:1 ucd:1 sakai:1 polynomial:1 respect:1 ogawa:1 cp:2 signals:3 pp:1 collider:2 kinematic:1 inclusive:2 due:4 yao:1 cosine:1 combined:2 interest:1 collected:1 muons:1 pi:2 lett:12 peaking:5 chandigarh:1 direction:1 arises:1 corresponding:4 kaon:1 θb:1 suppress:1 systematic:5 c2:28 present:1 case:2 extracted:1 multi:3 uehara:1 pacs:1 solid:1 value:2 cern:1 near:1 miyata:1 behavior:3 error:9 moe:1 region:10 procedure:1 eidelman:1 layer:3 metropolitan:1 ip:2 argus:2 superconducting:1 australia:1 maribor:2 technology:5 around:1 different:1 since:2 belle:19 cross:3 reconstructed:4 imoto:1 widely:1 resulting:1 events:13 used:6 peaks:3 kip:1 possible:1 slovenia:1 moment:3 kim:1 sibirtsev:1 angle:4 cryogenics:1 tracking:1 off:1 modes:7 acknowledge:1 poland:1 well:2 analysis:3 crystals:1 comes:1 swiss:1 organization:1 model:1 miao:1 niigata:3 charged:4 kawai:1 λp:17 reconstruction:1 teramoto:1 less:3 rest:1 seen:1 onuki:1 underlying:1 identify:1 aihara:1 world:1 taiwan:2 illinois:2 yet:1 kanagawa:1 preprint:1 candidate:3 upton:1 seems:1 fitting:2 hyperons:1 cud:1 extends:1 riken:1 sydney:2 bnl:1 ljubljana:3 excited:1 momentum:3 real:1 taegu:1 nitoh:1 dest:1 virginia:2 toho:1 helicity:2 background:1 using:5 singh:1 advanced:1 shinshu:1 tl:1 excluding:1 particle:5 iijima:1 signal:12 pakhlov:1 chamber:2 kekb:3 either:1 kawasaki:1 mext:1 krokovny:1 because:1 methods:2 sungkyunkwan:1 backgrounds:1 creation:2 some:2 pπ:2 suppl:1 table:3 uglov:1 ebeam:3 bakich:1 separately:1 throughout:1 tsukuba:1 flux:1 electromagnetic:1 avoid:1 measurements:2 fox:4 per:1 mesons:3 chistov:1 provides:1 kikutani:1 nishida:1 proc:1 cabibbo:2 funabashi:1 core:2 gakuin:1 bb:1 drift:2 dental:1 stefan:1 aushev:1 combines:1 epfl:1 analyses:1 super:1 haba:1 acc:2 about:2 central:2 meth:1 constraint:1 choi:2 o:2 simulation:1 melbourne:1 range:1 dalitz:1 hatched:3 moloney:1 kaons:4 inclusion:1 previously:1 heffernan:1 within:4 nagoya:2 pair:3 novosibirsk:1 baryons:1 accumulated:1 anderson:1 bombay:1 nsw:1 tamai:1 statistics:2 hep:2 schietinger:1 dytman:1 support:2 there:1 nova:2 brun:1 jsps:1 inner:2 way:1 kurokawa:1 analyze:1 was:2 osaka:4 vienna:1 function:1 elsewhere:1 offer:1 pakhlova:1 hw:1 histogram:2 volume:1 neutral:2 repeatedly:1 ha:1 hyperon:1 snsf:1 urquijo:1 applying:2 evident:1 inside:1 smooth:1 maximum:1 distribution:6 similar:1 agree:1 firm:1 krakow:1 θk:1 defined:4 describe:1 chao:1 moehrd:1 examine:1 haidenbauer:1 yokohama:1 flight:1 aerogel:1 doe:1 distributions:9 check:2 triangles:1 no:4 zang:1 chua:2 detail:1 graduate:1 field:1 other:2 arrs:1 details:2 papers:1 department:3 suwon:1 vertex:8 shown:2 peak:2 variable:1 structure:1 network:1 pion:1 described:3 assume:1 values:1 svd:1 required:5 nagano:1 4s:3 iwasaki:2 mass:22 kosef:1 time:1
0704.2653.txt |@word represent:1 partial:2 consider:9 limited:1 squared:3 comparatively:1 results:6 existing:2 four:1 parameterization:1 3a2:1 alt:3 contributions:1 heller:1 depend:1 tt:1 behaviours:1 tn:10 charge:8 kharkov:1 th:2 under:3 nodes:1 indicating:1 case:1 amplitudes:4 g0:8 very:7 harmonics:1 wave:15 a133:1 graphic:2 4ep:2 difference:4 matrices:1 condition:1 presented:5 t2:4 t3:6 t0:3 t1:5 discrete:1 vector:1 small:6 study:1 noted:1 upper:1 work:1 force:1 jacobians:1 edu:1 direct:1 sign:1 approximation:1 fold:1 zero:7 further:1 expressions:1 cosy:2 αi2:3 what:1 appear:1 iterating:1 disintegration:1 section:19 expressed:1 henceforth:1 experiment:2 new:1 increasing:3 method:3 body:7 outgoing:5 full:1 exchange:8 respectively:2 component:2 here:7 lednicky:1 behaviour:1 mev:8 free:7 others:2 ratio:17 equations:2 change:1 obtained:8 institute:1 shift:2 leaves:1 studied:3 allows:1 permutation:1 t20:1 t23:5 changes:2 via:1 useful:2 projection:1 apr:1 summations:1 neutrons:4 glagolev:1 analyzing:1 apply:1 total:1 unit:1 use:3 breakup:3 ψp:1 contains:2 predictions:1 few:6 nucl:6 kinematics:4 therefore:1 m3:8 m2:11 taken:2 theoretical:3 more:1 started:1 sandhas:3 operators:2 jmj:2 1s0:1 impulse:1 known:1 md:2 account:5 nauk:1 indicates:1 mm:7 ml:1 equation:2 mn:9 mj:1 mt:4 values:1 ms:2 following:2 example:1 numbers:2 figure:5 give:1 process:4 relativistic:1 permutations:1 organized:1 define:1 states:1 collision:1 performed:4 sharp:1 mel:2 information:2 δm2:2 goal:1 accordance:1 s0:3 how:1 varies:1 dwf:1 resolution:1 dotted:1 description:4 earlier:1 corrections:1 plane:1 waves:1 spectrometer:1 choice:1 data:3 δms:2 beam:6 linear:1 lines:1 correspond:3 st:1 gwdac:1 allow:1 representation:3 integrand:1 order:4 integrated:11 wigner:2 nucleon:12 laboratory:1 over:4 experiments:3 captions:1 kinetic:8 some:4 la:1 interesting:1 decreases:4 actually:1 offers:2 grassberger:3 rint:2 mail:1 tst:1 eur:1 maximal:1 them:2 yl:1 lehar:1 fig:9 introduce:1 break:1 framework:1 effects:1 oxford:1 rotation:2 yu:4 represents:1 inversion:2 fully:2 2ep:2 factorizable:1 applied:2 magnitude:1 jmax:2 2b:2 radial:1 subsystem:1 differential:12 significantly:2 nik:2 series:1 energy:25 idea:1 solution:1 elementary:6 used:2 isospin:1 quantum:3 our:7 approximated:1 extract:6 ep:9 special:4 out:1 ru:1 shown:5 jackson:1 matrix:13 driving:1 space:1 since:6 sms:11 research:2 m2n:1 investigation:2 denoted:1 formula:1 get:4 ref:1 correct:1 foundation:1 after:1 theory:4 1s:1 possibility:1 standard:2 indices:1 lml:4 besides:1 dubna:2 e1:12 e3:5 e2:2 definition:2 interaction:9 geometry:1 brown:1 transition:4 times:1 motion:1 gordon:1 projectile:2 consequence:1 neglected:1 neglect:2 first:3 already:1 relate:2 variables:1 approximate:1 simplified:1 angular:1 given:2 introduction:1 eqs:2 system:6 approximately:1 needed:1 assumption:2 normalization:1 calculations:3 sharov:2 1m:1 final:14 gives:1 shell:7 grant:1 part:13 pnn:14 coefficients:2 kind:1 cyclic:1 double:1 anticipate:1 second:2 collinear:1 determined:3 amplitude:16 russia:1 result:6 qpj:2 rewrite:1 curves:2 dash:1 manner:1 need:1 element:3 any:3 symmetrized:1 mim:1 mechanism:1 note:1 high:3 potential:1 take:1 schematically:1 play:1 multiple:2 investigations:1 algebraic:1 connected:1 significant:1 phase:2 g23:4 dummy:1 considered:3 later:1 graphs:1 points:1 tsym:3 mechanical:1 velocity:1 sigma:2 fact:2 precise:1 supported:1 dependences:1 participate:1 schmid:1 q0:4 slow:7 based:2 dp2:1 dp1:5 dp0:2 state:13 should:1 only:4 explicitly:1 factor:1 employed:1 do:2 legendre:1 gev:13 di:1 dependent:14 syst:3 straightforwardly:1 joint:1 words:1 2mn:1 drs:1 dp:2 qp:1 garcilazo:1 conditions:4 arxiv:1 factorization:3 investigate:1 paper:6 view:1 deuteron:20 coefficient:1 set:3 reference:2 frame:5 j1:1 maximum:1 relative:2 depends:2 projections:1 discussions:1 close:8 satisfies:1 subject:1 closes:1 tensor:1 ways:1 nuclear:1 away:1 tabakin:2 written:1 correctly:1 between:5 αi:1 approach:1 multiplied:1 terms:4 sections:1 emitted:1 however:4 p2j:3 configuration:1 suppressed:1 suggested:2 reaction:17 limits:1 region:5 equal:7 distinguished:1 gwu:1 etc:1 und:4 contribution:7 expression:8 experimental:1 ci:2 cm:1 point:1 corresponds:4 proton:11 pole:1 consideration:1 respect:2 fruitful:1 factors:2 pp:2 described:2 transformations:1 kinematic:1 addition:1 due:4 been:9 int:1 much:1 complicated:1 basic:1 pj:6 proposal:1 pn:12 ls:1 v23:3 direction:3 contribute:1 corresponding:1 both:4 1ms:8 ψp0:2 observe:1 determination:1 spin:18 present:3 p2:9 p3:6 p0:53 p1:21 pacs:1 solid:2 value:5 will:1 pwia:15 while:3 tlab:1 situation:2 taking:3 procedure:1 a22:1 lacombe:1 thus:1 vs:2 different:1 author:1 cross:17 same:3 unity:2 parts:2 arguments:1 electro:1 neutron:14 independent:3 calculation:2 investigated:1 http:1 anke:1 see:2 i0:3 effect:1 sym:2 possible:2 angle:1 2u0:1 clebsh:1 opportunity:3 identity:1 recent:1 off:2 center:2 well:1 spokespersons:1 analysis:3 obviously:1 without:1 pomeranchuk:2 dashed:2 model:3 dimension:1 spherical:1 being:1 when:8 obtain:1 rest:2 tcm:1 momenta:1 scattering:11 polarization:1 preprint:2 conclusions:1 lett:1 momentum:23 psa:2 term:5 increases:2 grid:1 press:1 using:3 knock:1 particle:2 follows:2 ignore:1 setups:1 nucleons:7 4mn:1 dok:1 truncated:1 czech:1 βi2:1 moreover:2 lippmann:2 integration:2 per:1 does:4 t12:3 participation:2 inserting:1 power:1 equivalent:1 each:1 expansion:1 although:1 about:5 kinematical:6 simplify:1 dependence:6 o:2 carries:1 2ci:2 introduced:1 ylml:6 rev:2 pergamon:1 into:5 three:7 thankful:1 acad:1 references:1 cent:1 operator:10 θlab:3 additional:1 transfer:11 initial:5 question:2 u0:10 fast:6 u2:1 way:1 jinr:3 m1:10 was:5 propagator:2 function:12 form:1 offer:1 forming:1 but:2 gaussian:1 recoil:1 delta:2 russian:1 line:3 considerable:1 practically:2 up:4 us:5 b86:1 ul:5 limit:1 ussr:1 problem:2 pm:1 u01:4 associated:1 defined:4 describe:1 influence:4 general:2 conserved:1 pˆ:2 formulation:1 formalism:4 functions:4 nn:8 eq:6 whereas:1 kuo:1 nd:22 schwinger:2 other:6 role:2 details:1 np:24 vanished:1 conclusion:1 vertex:1 polynomials:1 important:5 peak:3 variable:1 structure:2 prevalent:1 dω:6 fsi:19 interval:1 curve:1 dσ:4 implied:1 mass:3 observables:1 ags:2
0704.2654.txt |@word secondly:1 magnetic:2 four:5 ginzburg:3 sch:7 whose:1 const:2 calculate:1 matsuura:2 baym:4 under:25 γc:4 ren:2 conjecture:1 summarized:2 encounter:1 pacs:1 solution:1 vector:1 guiding:1 indices:3 ueda:1 ǫi:4 consistent:5 giannakis:2 japanese:1 approximation:1 second:18 qualitatively:1 2aλ:2 even:1 above:2 new:9 increasing:1 coefficient:10 simultaneously:1 behavior:1 never:1 here:12 met:1 mev:2 kitazawa:2 aid:1 represented:1 contraction:1 obtained:9 leutwyler:1 study:9 changed:1 rischke:1 stressed:1 changes:9 a20:5 gluons:3 discontinuous:2 9b:4 highly:1 rχ:10 univ:2 derivatives:2 quasi:1 would:4 negative:11 phenomenological:2 therefore:5 λqcd:1 survive:1 separated:2 naive:1 correspondingly:2 must:3 locked:1 mc:1 mb:1 mh:1 mk:2 theories:2 mu:1 mq:26 temperatures:1 ms:3 root:5 fη2:7 give:3 preserving:1 organized:1 degenerate:4 magnitudes:1 end:6 how:4 hou:1 ordinary:1 classify:2 gordon:1 classifying:1 after:2 hong:1 diagram:13 αd2:1 summarize:1 law:1 excited:6 constants:2 effective:20 green:1 decreasing:1 order:71 over:1 satisfied:1 japan:2 satisfies:1 diagonalized:1 symmetry:25 fix:1 exhibits:1 fig:31 eventually:1 affected:5 break:2 repulsive:2 effects:4 reasonable:1 each:1 higher:2 side:3 lifted:1 24f:1 series:1 principles:2 shifman:1 zahed:1 iλj:2 urbana:1 crucial:2 particles:2 mη:4 ra:2 rb:1 rc:4 washes:1 gor:5 turning:1 linear:2 free:40 standard:4 proportionality:2 b129:1 r4:1 chiral:57 r2:2 r3:1 εabc:2 speeds:1 features:2 restrict:1 2a0:1 toy:4 rewritten:1 similarly:2 top:1 observations:1 wirzba:1 a33:1 a32:1 a31:1 a30:1 a37:1 a36:1 a35:2 a34:1 a39:1 a38:1 direct:1 showed:1 tree:1 matter:4 minus:1 bedaque:3 seen:2 regulate:1 latter:2 metallic:1 acquire:2 involving:2 phase:126 competing:2 calculated:1 points:8 principle:2 incorporate:1 saga:2 random:3 infrared:1 implying:1 colors:1 iida:3 gauge:1 solutions:1 d8:1 d6:1 d4:3 d5:1 d2:60 d3:5 d1:3 topological:4 screening:1 rich:1 kunihiro:2 constant:6 oct:1 continuity:10 dl:43 de:1 fulde:1 altogether:2 dr:35 dp:4 fields:26 twice:1 thanks:1 result:6 λj:2 discussions:2 incorporating:1 tensor:2 away:2 symmetric:4 simplest:1 drawn:1 approach:4 nambu:4 terms:32 weak:3 however:4 suggested:2 cos:5 against:1 coe:60 contribution:4 disappears:3 16f:6 2nf:1 polynomial:1 basis:3 three:35 been:1 much:4 interest:1 velkovsky:2 expected:3 locations:1 confinement:1 maximally:1 applied:1 tanh:10 originate:3 aip:1 transformation:4 near:3 φbj:2 property:1 procedure:2 3nf:2 a21:2 a22:2 a23:1 a24:1 a25:1 a26:1 a27:1 a28:2 a29:1 iv:7 ii:11 ij:1 conf:1 ia:1 confirmed:1 make:2 complex:2 split:1 several:2 grows:2 independent:8 numerical:2 hand:8 scenario:1 leff:6 left:8 transforms:1 yamamoto:2 eigenstates:2 enters:2 iϕ:2 belongs:1 ikeda:1 easy:1 5f:2 plasma:2 bnf:2 koide:1 iγ:1 possible:9 replace:2 stephanov:2 b473:1 deconfined:1 right:14 pettini:1 naoki:1 separately:1 dense:7 opposite:1 comments:2 yields:1 vπ2:4 chaikin:1 super:1 properties:3 proceed:2 o:11 ensure:1 presence:6 rotations:2 son:1 down:11 reducing:1 support:1 transform:6 anderson:1 way:1 φck:1 was:3 lowest:2 medium:5 form:10 differences:1 tachibana:3 b5:2 maximum:1 fermi:4 originating:1 b62:1 ferrell:1 exist:2 simulations:3 constructed:1 radically:1 no:4 when:6 vanishes:2 handed:1 ng:42 jona:2 interested:1 role:6 a15:1 a14:1 a17:1 a16:2 a11:1 a10:1 a13:1 a12:1 models:4 center:1 a19:1 a18:1 pisarski:1 regime:1 pion:11 assume:6 interval:1 pseudo:1 together:3 slope:1 quarks:10 global:3 focus:4 leads:9 devoted:1 inverse:1 mπ2:1 mπ1:1 charge:2 εijk:2 2γc:1 quartic:1 level:1 turns:4 gatto:2 discrete:1 upper:1 sign:17 appear:4 melt:1 axial:26 annals:1 satisfy:2 asakawa:2 groups:1 address:1 alone:1 appears:7 superconductor:1 fariborz:1 jora:1 studied:1 simultaneous:2 hospitality:1 lowers:1 spatially:1 gluon:5 flavors:22 positive:25 sports:1 explicitly:5 scope:1 diagrams:2 introducing:1 neglected:4 appendix:18 cases:2 tokyo:2 originally:4 modified:1 values:5 following:9 making:1 arrive:2 figure:3 expanding:1 chin:1 allowed:2 counting:1 s2:2 discussion:1 write:3 fourth:4 parameter:2 γd2:5 may:2 iwasaki:1 produce:1 mai:2 ω2f:7 outline:4 liquid:1 higgs:1 sr:1 explicit:3 su:34 st:1 quadrant:1 cannot:1 so:5 sc:2 weakcoupling:1 typical:1 acts:5 indeed:4 pointed:1 stability:1 differs:2 cold:1 still:1 derive:5 group:2 thank:1 interesting:3 buballa:1 ours:1 non:9 introduce:3 identically:1 now:4 sχ:2 discuss:6 nor:18 term:46 stabilize:2 arrows:1 realistic:4 goldstone:2 ee:2 ed:1 eg:4 ef:2 inhomogeneous:1 owing:1 ǫijk:6 eq:62 emerges:2 shown:23 jackson:3 space:1 furthermore:3 lagrangian:18 collisions:2 formula:2 shows:7 earlier:2 theory:1 possibility:1 quark:66 complicated:2 tetracritical:3 derivation:4 ministry:1 transition:16 diquark:45 3r2:1 turn:4 place:2 massive:3 βc:1 neglect:1 first:41 origin:1 surviving:1 afer:7 variables:2 tricritical:5 tetsuo:1 open:1 wilczek:5 given:11 checked:3 accordingly:2 fierz:2 realization:1 bosons:7 structures:2 gives:2 continuous:1 x2:5 x3:5 x1:5 than:5 coefficients:4 favors:1 future:4 were:1 ann:1 argument:2 crossover:6 any:1 general:12 note:7 potential:10 take:2 begin:1 normal:8 baryons:1 analytically:1 considered:3 later:3 drive:2 precise:2 show:11 ground:3 boundaries:21 aσ:1 aχ:1 written:1 only:17 going:2 gev:1 rept:3 expectation:1 aβ:2 nearly:1 boundary:14 summary:2 predicted:1 physically:1 violated:1 relative:1 namely:1 actively:1 eliminating:1 antiferromagnet:1 3c0:1 satisfying:1 label:1 αa:1 enough:1 between:28 x21:4 across:5 vertical:3 suppresses:1 suppressed:2 originates:6 σi:1 many:2 region:23 instanton:5 expression:1 mann:7 among:1 color:13 grants:1 anti:6 conjugation:1 ordered:1 pseudoscalar:9 mark:1 combined:1 b422:1 direction:2 enable:1 6f:3 external:4 former:1 those:1 case:19 situation:3 metric:2 superconducting:2 technology:1 different:2 author:1 insofar:1 same:8 physical:1 investigated:1 singapore:1 driven:4 changing:1 invariance:1 modes:7 without:6 components:1 model:19 dimension:2 minima:6 being:1 ch:1 nf:3 flavor:33 speed:3 except:3 invariances:3 setting:1 lett:15 heavier:4 momentum:3 real:2 2t:17 aspects:1 coexistence:7 vacuum:1 using:8 mod:1 deti:1 despite:1 x4:3 collective:5 velocities:1 serves:1 either:3 integrals:1 always:9 reduced:4 picture:1 competition:2 moreover:1 matching:1 fπ:26 dimensions:1 mesons:6 critical:37 moderate:1 3b2:3 scientific:1 power:2 pionic:1 sixth:2 equivalent:6 notably:1 broken:2 hadron:6 comparison:2 discussed:6 mixes:2 obeys:1 mixed:1 qra:4 qrc:2 determine:3 ovchinnikov:1 hep:3 area:2 assumed:4 there:6 start:1 low:21 stars:2 interiors:1 quantitatively:2 ωn:1 manuel:1 ωc:2 ωd:3 strongly:1 ab:5 ai:3 certain:1 describe:1 resultant:1 examine:1 stationarity:3 field:14 valid:1 spatial:2 massless:29 superconductivity:4 deriving:2 commutator:1 a3:2 a2:4 a5:2 ising:3 a7:1 a6:1 a9:2 a8:1 d29:1 d28:1 condensation:3 mass:56 original:2 sci:1 consider:6 ceases:1 caused:1 scalar:3 expressions:1 denotes:1 causes:2 preserves:1 tr:33 present:3 td:3 tc:1 sound:1 ultraviolet:1 condition:11 large:9 small:11 zero:8 mπ:2 nonlinear:1 diag:8 section:4 acknowledgments:1 contrast:1 condensed:2 full:1 bailin:1 ansatz:2 irrespective:1 directions:1 b2f:3 equations:1 colored:1 experience:1 quotient:1 uniquely:1 via:2 takes:3 contains:1 finally:4 comparing:4 nucl:7 qcd:33 taken:1 more:4 lowering:1 vl:12 nemoto:1 λd2:4 surface:2 particular:4 science:1 equation:1 det:14 nine:2 f2:6 f6:1 share:1 states:13 minimum:4 numbers:3 sigrist:1 arise:1 axis:5 needs:1 rather:1 breaking:9 csc:31 e2i:1 simplicity:1 mapping:1 plane:3 ff:2 fh:8 horizontal:2 lhc:1 spectra:16 negligible:1 fundamental:1 fη:14 thermal:1 paper:5 through:5 signs:1 kinetic:4 excitations:4 its:3 energies:11 matrices:3 solving:1 boson:14 absence:6 microscopic:3 systems:2 curtis:1 entire:1 anticipated:1 chromodynamics:1 easily:1 finite:11 2s:1 fully:1 alford:4 2d:3 2e:1 2f:2 2b:1 2c:2 found:8 2i:3 characterized:8 heavy:7 energy:33 reduce:1 quantum:1 beyond:2 perry:1 since:16 research:1 denoted:2 induced:8 evaluation:2 favored:1 definition:1 pairs:3 consequence:2 eqs:7 number:3 temperature:9 introduction:2 leading:7 construct:6 bα2:4 calculations:3 too:1 3d2:1 baryon:3 part:8 qlb:4 qlc:2 qla:5 kind:2 determines:1 double:5 a46:1 a47:1 a44:1 determined:9 a42:1 a43:1 a40:1 a41:1 larkin:1 oakes:6 speculative:2 barducci:1 build:2 eff:3 towards:1 reach:1 singlet:3 most:8 eaten:1 measured:3 kk:1 exp:4 subgroup:1 physics:5 lying:4 sector:1 casalbuoni:2 minimizing:1 relation:9 find:8 parameters:7 subsection:1 hatta:1 pions:18 collins:1 combinations:1 arxiv:1 crc:1 investigate:1 redefined:1 gell:8 culture:1 see:10 individual:1 bare:1 a45:2 27b2:1 conditions:4 creating:1 attention:1 vanishing:4 interface:1 ferromagnet:3 both:19 last:1 connection:1 finds:1 experimental:1 point:57 simple:1 lagrangians:1 asymptotically:6 corresponds:6 bα:2 bβ:5 bλ:2 dul:1 transformations:1 due:5 describes:1 change:4 anisotropic:1 ph:3 gap:5 c13:3 1gev:1 plasmas:1 p2:3 lubensky:1 bσ:3 straight:1 evaluated:1 while:12 evaluating:2 couplings:1 reads:3 itself:1 triple:7 vanish:1 fermion:3 twofold:1 grant:1 modification:1 neutron:1 qaj:1 lower:1 task:1 analysis:2 obviously:1 2gd:6 gsi:1 parametrically:1 reviewed:4 questions:1 world:2 love:1 location:3 remaining:3 generalized:10 showing:1 appendices:1 bicritical:3 rhic:1 like:5 modifications:1 follows:3 ignore:1 unstable:1 essential:3 parametrizations:1 2iθ:1 some:1 b4:3 understood:1 b6:1 b7:1 b0:2 b1:3 b2:11 b3:6 ourselves:1 savage:1 gradually:1 describing:1 integration:1 connecting:1 eliminate:2 tends:1 prog:1 proc:1 minimal:1 bd:1 eating:1 bb:6 bc:4 jumps:1 bs:1 beane:1 cutoff:2 rho:1 into:8 within:2 integral:4 nsf:1 neutrality:1 appropriate:1 primarily:2 proportional:1 span:1 extremely:1 question:2 specifically:1 handbook:1 φjj:1 line:33 fades:1 characteristic:2 up:11 us:2 ur:1 ul:4 exploration:2 fluctuations:5 schechter:1 similar:5 associated:6 yagi:1 defined:6 decreases:2 influence:1 single:3 bracket:1 department:3 draw:2 excitation:4 generated:1 suppression:1 structure:29 implies:3 fπ2:8 equivalently:4 requires:1 having:2 labelled:1 magnetically:1 cdd:1 partial:1 results:6 gd:8 gb:1 gl:27 gh:2 microscopically:2 include:2 indicating:1 implicitly:1 octets:1 mixing:23 continued:1 severely:1 shuryak:3 noted:1 configurations:1 cfl:6 smaller:3 lmix:5 lightest:1 jump:1 plays:4 giving:1 3c:2 3b:9 3g:1 gµ:1 lee:1 ibid:3 respectively:9 focused:1 involved:1 larger:1 products:2 bd2:1 makes:1 lkin:4 scales:2 condensates:15 meson:5 m2π:2 use:6 asymptotic:4 remains:5 next:2 depicted:1 iαa:1 becomes:14 normalized:1 iii:9 discontinuously:2 account:3 m2η:7 splittings:1 meet:1 lχ:1 rapp:2 purposes:1 high:21 lorentz:2 tan:2 weaken:1 six:2 located:3 sin:4 nonet:1 realized:6 light:9 λ2f:1 correspond:1 move:1 vη2:3 2sc:1 cambridge:4 including:2 mentioned:2 chemical:4 decay:3 chosen:3 masses:27 6c0:1 defining:1 gasser:1 outlined:1 yazaki:2 landau:3 mention:1 rotation:3 fflo:1 university:4 identified:1 merge:1 magnitude:6 mode:3 renner:7 homogeneous:1 related:4 constitute:1 interplay:3 separating:1 relates:1 transitions:5 out:5 matrix:12 rev:19 m2q:2 vct:2 ref:4 interactions:2 8b:1 diagonal:2 approaches:3 8t:1 interaction:8 determining:1 times:2 hitherto:1 precisely:1 strict:1 ordering:2 condensate:22 system:12 relations:1 their:7 intermediate:18 inserting:1 final:1 exactly:4 rajagopal:4 dynamical:3 sec:10 distinguished:1 shrinks:1 lines:7 need:1 constrained:1 angle:6 min:1 mechanism:1 gχ:7 mix:1 gπ:2 gη:1 lmass:8 useful:2 eight:4 representation:1 parametrize:1 reduces:5 χd:1 violation:1 text:1 supported:1 terminate:1 trivial:2 subtracting:1 should:4 local:3 equilibrium:1 overall:5 qq:6 qr:4 densities:4 ql:6 exists:2 phases:22 pattern:3 diverge:1 state:8 invariant:10 neither:2 key:3 tensors:1 equal:2 fulfilled:1 ln:10 safely:2 otherwise:1 ck:1 detailed:3 relevant:2 cc:7 cb:1 cf:1 cd:13 coordinates:4 fukushima:1 respect:5 ǫabc:2 singlets:1 addition:9 treat:2 anomaly:29 define:1 corresponding:3 sufficient:1 c9:1 c8:1 angles:1 c3:1 c2:9 c1:4 c0:18 c7:2 c6:2 c5:1 c4:2 splits:1 unlike:5 value:1 will:5 vc:2 vh:3 refs:1 thus:20 4c0:1 vr:10 φij:2 φii:1 strange:9 schematic:2 φk:2 cubic:2 effect:8 parametrized:1 ion:2 infinite:1 expand:1 off:1 reflection:1 nevertheless:1 well:3 sets:3 firstly:1 tytgat:1 arising:2 coeficients:1 usual:2 less:1 ultrarelativistic:1 obtain:6 vπ:1 density:38 lattice:2 attractive:1 diagonalization:1 c12:1 c11:2 c10:1 c14:2 increases:7 vη:1 press:2 intersection:1 necessary:1 helpful:1 qualitative:3 become:2 works:1 parity:1 because:7 phenomena:2 njl:11 16t:1 diagonalizing:1 sufficiently:5 cσ:2 avoid:1 octet:5 2c2:4 2c3:1 does:10 locate:1 expansion:5 cλ:2 crossing:1 described:2 cα:3 panel:11 a1:5 about:1 carried:2 a0:10 freedom:1 b350:1 dependence:1 compatible:1 carries:1 important:2 bounded:2 introduced:3 a4:2 own:1 previously:2 ωmin:9 additional:2 pairing:6 terminates:2 function:2 basic:3 spurion:1 but:11 dur:1 made:1 compute:1 whether:2 rc3:1 below:8 limit:11 problem:1 hatsuda:6 lasinio:2 denote:2 our:6 education:1 mutual:1 nonetheless:1 detail:1 illinois:2 other:11 details:1 theor:1 contacting:1 conclusion:2 breaks:4 coupling:31 4t:1 4f:8 4d:1 4b:2 4c:1
0704.2655.txt |@word limited:1 endres:1 rev:1 results:2 gx:1 four:2 eds:1 edu:2 stallard:1 compact:3 increase:1 aug:1 technique:2 matsuura:1 young:3 under:1 analogous:1 pickett:1 lunar:1 alcolea:4 amplitudes:2 garden:1 very:2 frequencies:1 schilke:2 summarized:1 hya:7 yakov:1 alma:9 vibrational:4 level:2 positions:1 list:1 miras:1 cma:10 large:2 vector:1 red:1 small:2 upper:1 expanded:1 l91:1 drifts:1 cfa:1 across:1 likely:2 booth:1 correlator:2 chen:5 further:2 calibrators:1 spectral:4 sub:3 giesen:1 brief:1 current:1 pulsating:3 international:2 amounting:1 cam:3 iram:2 spacing:2 leo:6 water:19 beck:1 tracks:1 objects:10 l27:1 path:1 along:1 strong:2 observing:1 appears:1 change:1 obtained:4 stellar:1 search:1 tx:3 institute:1 scatter:2 prior:1 simultaneous:4 survey:3 boo:2 action:1 myers:2 changes:1 milliken:1 diameter:1 prints:5 spatially:1 pla:1 scales:1 apr:2 sgr:3 while:2 vir:2 chunks:1 brogan:1 total:1 nml:4 plot:3 use:1 feb:3 usb:3 usa:3 remains:1 humphreys:2 negative:1 1990b:1 tabulated:1 m5:1 hydra:1 m7:1 m3:1 taken:1 25th:1 type:1 theoretical:1 more:1 bennett:2 molecules:1 src:1 successful:1 hypergiant:2 emission:14 instrumental:2 warm:1 antennas:2 cases:2 potential:1 rotational:2 ma:1 cas:5 science:2 supergiant:1 lada:2 evolved:3 widths:1 dec:2 example:2 numbers:1 tau:2 challenging:1 figure:6 menten:18 high:1 orion:1 performed:2 ultracompact:1 species:2 ratio:1 sis:1 cso:5 provide:2 six:2 regions:1 submillimeter:7 dotted:2 symposium:2 sio:10 aboard:1 schultz:1 astroph:1 description:1 may:2 waters:1 after:1 diagram:1 date:1 data:3 drop:1 spectra:5 lines:6 chapman:1 ghz:61 st:1 perform:1 ortho:7 so:1 vapor:1 order:2 wavelengths:1 lsb:3 passband:1 reid:4 astronomical:3 ejecta:1 interpreted:1 thermal:2 paper:1 including:2 hii:1 yamaguchi:1 its:1 x000000000000000x:1 blake:1 fit:1 located:2 apex:2 temporal:1 conway:1 unity:1 late:1 beacons:2 detected:10 degrees:1 fig:6 charlottesville:1 listing:1 cospar:1 maillard:1 yi:1 non:2 wiesemeyer:1 hunter:11 band:9 resolve:1 they:2 name:1 janskys:1 january:2 presented:1 sideband:3 capability:1 fwzi:3 mode:2 found:2 bright:2 telescope:2 energy:2 frequency:7 hawaii:1 challenges:1 interferometer:2 astrophysical:4 calibrate:4 zobov:1 quantum:1 beyond:1 ring:1 fu:1 rt:2 crb:2 shown:7 ukita:1 rs:1 gradient:2 rx:2 rd:1 investigation:1 vlbi:1 hilo:1 suggesting:1 l39:1 dsb:2 sma:20 shows:1 christensen:1 free:1 quite:1 drouin:1 york:1 ori:2 beginning:1 muller:2 log:2 millimeter:5 unresolved:4 launch:1 sinica:1 could:2 transition:2 american:1 place:1 due:1 first:2 origin:1 features:1 variables:4 number:2 dinh:1 l37:1 array:6 angular:1 size:4 given:2 exists:1 become:1 introduction:1 top:2 least:1 their:2 assumption:1 observations:17 miller:1 iau:1 molecular:4 ranging:1 para:2 polyatomic:1 asymmetric:1 memo:2 accurately:1 cyg:2 authors:1 benford:1 than:1 center:1 distance:5 l41:2 observatory:2 target:2 double:1 project:1 feuchtgruber:1 future:1 amplitude:4 were:4 tret:1 exhibit:1 debugging:1 spectrum:2 curves:1 jacobs:1 commissioning:3 seen:3 element:1 connelley:1 complete:1 bujarrabal:2 built:1 lim:1 mid:1 phillips:4 academia:1 lis:1 photosphere:1 performance:1 effectiveness:1 channel:2 raman:1 boboltz:1 begin:1 object:2 molecule:1 herschel:1 nostrand:1 most:1 regular:4 eight:2 plan:1 significant:1 phase:17 wootten:2 measured:4 class:1 known:1 doi:1 average:1 hinkle:2 km:5 kl:1 proceedings:3 velocity:4 typically:2 bulletin:1 slope:2 planetary:1 particularly:1 show:2 kwok:1 wittkowski:2 12m:2 herbst:1 infrared:4 discovered:1 attempts:1 radio:1 solutions:2 find:1 ground:3 impact:1 giant:1 based:1 heavily:1 jan:4 only:2 micron:1 rich:1 emitting:1 thousands:1 over:1 above:1 tielens:1 calibration:3 de:2 beam:3 hifi:1 nearly:1 determine:1 new:5 during:3 baselines:2 pearson:4 continuum:7 crt:2 conditions:1 arxiv:12 tuned:4 nrao:2 garcia:1 investigate:1 common:1 beamsize:1 fixed:1 16th:1 reference:1 lnp:1 observed:1 see:1 betelgeuse:1 operated:1 close:1 luminous:1 best:1 techniques:1 phases:1 away:1 currently:2 sweden:1 µm:1 state:5 heterodyne:1 john:1 between:3 irc:2 numerous:1 email:1 15th:1 discovery:1 jy:1 receivers:4 however:2 kea:1 aspin:1 harvard:2 analyzed:1 reipurth:2 configuration:1 barrett:2 both:2 prospects:1 discernible:1 successes:1 many:1 region:3 annual:1 hours:1 sensitive:1 receiver:3 comet:1 comes:1 poglitsch:2 point:1 herpin:1 oxygen:1 environments:2 callisto:1 table:7 conference:1 trung:1 tuning:1 deuterated:1 union:1 jura:1 three:5 been:7 putz:1 pc:1 backends:1 melnick:7 mars:1 expected:3 ph:6 dots:1 arises:1 imai:1 maser:31 gas:1 weigelt:1 observe:1 mauna:1 spie:1 reinhold:1 present:2 applied:1 exception:1 atmospheric:5 unlike:1 solid:1 originate:1 remaining:1 will:4 near:4 temperature:1 va:1 zenith:1 vol:2 ir:1 thus:1 apjs:2 middle:1 thum:2 vs:4 quasars:1 vx:3 vy:10 technology:2 containing:1 baseline:1 april:1 lengths:1 barnes:2 same:2 orionis:1 justtanont:2 astrochemistry:1 potentially:1 resulting:1 several:2 atacama:1 higher:1 satellite:1 used:8 http:1 baudry:1 colomer:2 upon:1 kubo:2 v2:3 levels:1 barber:2 kemball:2 dust:1 opportunity:1 recent:1 lower:2 modes:1 no:2 ohoku:1 calibrated:4 mixers:1 vibrationally:6 components:1 relied:1 position:2 model:3 l107:1 left:1 bending:1 37th:1 proposed:1 less:1 being:1 thz:1 sources:5 uller:1 taiwan:1 compared:1 50th:1 density:1 absorption:1 except:1 source:7 caltech:1 instrument:1 usage:1 excited:6 l87:1 75th:1 march:1 around:1 bands:4 possible:1 smithsonian:2 period:1 early:1 cho:1 five:1 mon:1 using:2 atmospheres:1 apj:16 helpful:2 semi:4 signal:1 velocities:1 tennyson:1 ozone:1 flux:1 detections:7 mhz:4 either:1 output:1 cernicharo:2 hypergiants:2 function:1 because:4 calibrator:3 shen:1 herbig:1 some:3 j2000:2 meters:1 30m:2 respect:1 neufeld:1 proceeding:1 bottom:1 l15:1 measurements:1 langevin:1 morris:1 does:1 cnc:1 simbad:1 proc:1 temple:1 noise:1 assembly:1 scientific:1 jumps:1 aj:1 likewise:1 symp:1 br:3 served:1 icrs:1 post:1 lucia:1 terahertz:1 panel:2 srb:3 comparison:2 sra:1 ader:1 package:1 capable:1 o:8 langer:1 range:2 plus:1 efforts:1 considerations:1 cambridge:1 blundell:2 presence:1 h2:7 1990a:1 obtaining:1 astronomically:1 dataset:2 assess:1 lies:1 right:1 references:1 primarily:1 gomez:1 theoretically:1 van:1 additional:2 her:3 synthesized:1 transfer:4 there:1 width:1 anderson:1 stars:8 astrophysics:7 was:11 lowest:1 north:1 elsewhere:1 36th:1 forming:1 histogram:1 astro:6 butler:2 hi:1 laing:2 aql:4 line:31 highest:2 count:1 made:1 society:1 uv:6 up:1 m8:1 belov:2 usten:1 verification:1 spectroscopy:1 similar:3 celestial:1 associated:1 int:1 minutes:1 abstract:1 describe:1 am:3 deep:1 evidence:3 diamond:4 periods:1 journal:1 edgemont:1 physical:2 transitions:3 antenna:2 variety:1 dashed:1 kaifu:1 other:4 jong:1 masers:12 test:2 conclusion:1 gonzalez:1 herzberg:2 star:6 mustard:1 collaborative:1 ile:3 problems:1 mira:5 generated:1 important:2 hirano:1 variable:1 astronomy:1 polehampton:1 structure:1 oteborg:1 searches:1 hein:1 l67:1 philipp:1 physics:1 space:2 curve:3 4m:1 time:3 far:1 resolution:1 original:1
0704.2656.txt |@word replacing:1 consider:3 skip:1 lack:1 results:4 reformulating:1 katanaev:1 four:5 eds:1 scalar:10 computation:1 constants:12 research:1 contributions:1 gh:4 whose:3 inverse:2 depend:2 finally:2 program:1 those:1 th:2 under:10 decomposition:1 must:5 case:8 string:1 emphasizes:2 isomorphism:1 manifolds:1 fab:9 fac:2 difference:1 exact:1 deformations:3 fae:1 wa:1 entire:2 ro:3 accompanying:3 ǫd:2 solution:18 vector:1 annihilates:1 indices:5 relation:1 freidel:1 jhep:5 consistent:11 direct:1 intricate:1 second:9 substituting:1 further:3 volovich:2 canonical:1 bilinear:1 eia:1 abc:2 appear:1 brackets:1 sum:1 transforms:1 expressed:6 consistently:1 cyclic:1 above:6 capital:1 aaν:5 new:2 contributes:1 method:1 contrast:2 satisfy:3 full:2 aaρ:3 notions:1 degree:1 respectively:7 never:1 component:1 richest:1 here:1 reported:1 objects:1 b32:1 address:3 consideration:1 along:1 equations:12 appears:1 interpret:1 obtained:5 remark:4 antisymmetric:10 osch:3 mations:1 study:5 larger:1 resulting:3 poisson:14 romanian:1 action:10 changes:1 jackiw:1 uniquely:1 named:2 formulated:2 useful:1 extra:1 apr:1 namely:2 explained:1 vb:1 replace:1 conditions:1 fbb:1 addressed:2 fbe:1 establish:1 derivatives:3 fed:1 feb:1 fec:1 cohomological:6 covariant:4 contains:2 next:2 eleven:1 nucl:1 approach:1 therefore:1 taken:2 scope:1 type:4 theoretical:1 preserved:1 mec:2 kˆ:5 outputs:1 equipped:1 a21:1 everywhere:2 particular:4 known:3 cases:2 hold:1 qabcd:18 behalf:1 fermionic:2 me:1 parameterize:1 account:1 valued:1 c41:1 deformed:17 equation:20 theories:6 remain:1 minimum:1 cab:6 modifies:2 abcd:3 give:4 organized:1 generically:1 pieces:3 topic:1 lorentz:3 degenerate:4 undifferentiated:7 occur:2 simple:2 information:3 s3:2 s2:4 divided:1 acts:1 compostela:1 s4:1 resolution:1 pure:5 instead:1 fourdimensional:1 map:1 de:1 algebra:12 may:3 orbits:1 collection:9 consequence:2 fb:1 mab:12 fe:2 faculty:1 µab:2 types:4 d11:1 ϕm:3 third:2 read:1 d61:1 spectra:1 correspond:1 parameterized:3 hypotheses:3 generic:1 cannot:1 so:2 allow:1 fabcd:13 sg:1 order:20 mrtn:1 s0:2 fλa:5 constituents:1 schaller:2 symbols:1 paper:4 through:1 thesis:1 dw:1 mentioned:1 ηc:2 satisfies:1 its:5 ffa:1 level:1 santiago:1 supplemented:2 faa:2 lc:1 paa:10 aν:1 relativity:1 pab:19 coordinates:1 forms:12 absence:2 degrees:1 jacobi:6 mail:3 argentina:1 main:1 might:1 deformation:15 s1:10 non:10 teitelboim:1 than:1 investigated:1 mention:1 pgh:10 identically:2 mde:1 now:2 yu:1 possess:2 term:3 several:1 trary:1 even:1 always:1 university:1 hamiltonian:1 annals:2 cuza:1 2f:1 2b:2 each:5 found:1 european:1 constraints:1 lie:4 mbc:5 arxiv:1 ei:1 ek:1 ej:1 energy:5 ef:1 related:2 conventions:2 used:4 grav:4 2ha:1 our:3 ghosts:10 extract:1 shown:4 ezawa:1 matrix:1 space:5 kummer:1 since:1 lagrangian:5 denotes:1 obstructions:1 adv:1 denoted:3 formula:1 induced:3 issue:1 math:4 abµ:2 apλ:2 particularize:1 reformulation:2 theory:21 interactions:14 free:15 standard:4 aachen:1 completely:5 york:1 b126:1 put:2 blau:1 beginning:1 generate:1 interaction:1 ministry:1 rule:2 mac:1 introduction:1 int:4 produce:1 βb:1 hence:1 eters:1 first:11 abρ:3 romania:1 initial:2 symmetry:3 coming:1 powerful:1 number:18 preservation:2 wab:19 restrict:1 falomir:1 least:1 another:2 comprises:1 laa:1 precisely:1 open:2 given:4 necessarily:1 bracket:2 similarly:1 tate:1 cµν:3 system:1 relations:8 henneaux:1 their:5 master:14 expand:1 structures:1 listed:1 ashtekar:1 shell:6 discussion:3 accurately:1 solodukhin:1 authors:1 completes:1 coefficients:1 aae:1 kind:1 determines:1 target:1 aab:16 zero:3 matter:3 classes:3 str:1 abλ:4 abν:10 exhibit:1 symmetries:1 hµa:11 krasnov:1 spectrum:4 b252:1 manner:3 take:1 null:2 orders:2 elsewhere:1 gives:1 sk:1 strength:3 grumiller:1 pabcd:7 ρc:2 self:3 gravity:5 aaµ:21 high:5 fp6:1 generalized:1 finding:1 subject:3 εa:2 smolin:2 kab:7 play:1 added:2 led:1 opposite:1 most:2 involving:2 reducible:4 model:8 interacting:8 considered:1 clear:1 vertices:5 kl:4 ϕn:2 proceedings:2 lowered:1 physics:2 fact:4 sector:8 show:1 batalin:1 supported:1 barnich:1 notations:3 ling:1 gauge:51 solutions:16 εbc:2 privileged:1 d4:7 trivial:3 find:1 aρ:3 symmetric:1 based:3 parameters:6 commutators:1 topological:5 should:1 only:9 going:1 generators:3 reducibility:5 rich:1 indeed:1 thompson:1 various:4 employed:1 partially:1 local:5 abelian:7 plata:2 notation:1 means:4 dd:1 rept:2 stop:1 yielded:1 aα:1 ones:1 b175:1 pretending:1 ϕe:10 ϕd:1 aλ:3 ϕf:1 ϕa:29 d52:1 ϕc:5 ϕb:6 λb:1 fields:34 differential:8 comprising:1 yield:1 consisting:1 investigate:2 bab:11 contain:2 pertains:1 view:3 requirement:2 set:9 constructing:3 exists:1 smooth:3 izawa:3 cattaneo:2 see:3 result:3 existence:2 close:2 dµ:5 antighost:7 brst:19 techniques:2 closes:1 satisfying:1 aeµ:2 tensor:6 rwth:1 review:1 supergravity:4 boundaries:1 written:2 gamboa:1 identification:1 αd:3 between:12 d50:1 invariant:7 αk:1 previous:2 µa:5 preserve:1 wf:1 notice:1 latin:1 terms:12 do:1 web:2 eab:1 3ca:1 however:1 killing:1 δae:1 vanishing:2 hypothesis:1 stants:1 δab:1 both:3 last:4 brown:1 qft:1 la:3 according:3 contract:1 fulfilled:1 etc:2 interesting:2 requests:1 expression:2 among:5 co:2 point:2 cc:1 cb:3 ca:7 others:1 cohomology:1 cd:4 dimensional:5 superstring:1 simply:1 moreover:3 accordingly:1 withdrawn:1 ct:1 conference:1 meantime:1 transformations:17 pt:2 triviality:1 addition:2 locally:1 due:6 been:4 commission:1 describes:2 basic:2 acλ:3 conjugated:1 meeting:1 empty:1 ikeda:8 cohomologically:1 generating:1 describe:1 corresponding:7 easy:1 restrictions:2 labastida:1 quantities:1 concerning:1 bmn:2 requires:1 observe:2 derivative:1 hµ:1 present:2 ae:4 ǫb:6 ǫa:8 schmidt:1 splits:1 pacs:1 originate:1 aip:2 remaining:4 will:10 cern:1 while:2 replaced:1 koszul:1 situation:4 eur:1 couplings:10 procedure:3 rakowski:1 va:6 aa:7 vectors:2 independent:1 coupled:2 vol:1 metric:2 thus:1 them:2 surface:2 reads:3 ij:2 exterior:1 polon:1 vanish:5 bν:3 habilitation:1 education:1 dab:1 april:1 perform:1 acknowledgments:1 make:1 antigh:3 cross:6 same:2 poincar:2 φa:3 antisymmetry:1 complex:1 qaa:19 arguments:2 qab:12 physical:1 infer:1 higher:3 exhaust:1 literature:2 singapore:1 trivially:1 hand:2 kij:2 uˆ:2 felder:2 identity:6 cycle:1 lower:2 off:1 nevertheless:1 depending:3 well:5 adλ:6 obviously:1 without:2 components:3 sets:1 coordinate:1 meanwhile:1 strobl:7 possesses:1 usual:1 manifold:5 just:3 ucv:3 craiova:2 obtain:4 bµ:1 λa:4 via:2 birmingham:1 antifields:4 world:1 enlighten:1 wec:2 wca:1 wea:1 generator:1 density:1 conclude:2 leibnitz:2 other:8 transformed:1 lett:6 acµ:1 bµνρ:1 cex:1 transformation:1 wcd:1 acta:1 aspects:2 rules:1 couple:1 possible:2 know:1 using:1 decomposes:1 mod:7 wˆ:2 strengths:1 appearing:1 like:8 semi:2 araru:4 fba:2 specific:2 imposes:1 wbc:4 arbitrary:12 anti:1 stationary:2 cµνρ:4 parity:1 because:1 classical:2 formulas:3 cabc:1 some:15 back:1 understood:1 trends:1 a16:1 respect:4 δba:3 discarded:1 describing:2 dimensions:3 grading:1 cρ:2 λs1:1 prog:3 bf:28 ba:7 bb:2 bc:4 losano:1 bm:2 bn:2 substituted:1 although:1 central:3 pλ:3 commun:1 o:5 bνρ:5 ensure:3 εijk:2 illuminating:1 introduced:1 denote:1 d63:1 a17:1 considerations:1 raised:1 rev:4 letters:1 ηb:1 ηa:6 presence:4 previously:1 into:7 within:1 functional:1 parameterizing:1 three:29 references:1 determine:1 proportional:7 bosonic:3 wam:2 hep:2 vassilevich:1 there:5 antifield:3 signifies:1 antibracket:2 restricts:1 function:2 complete:1 form:25 bµν:11 fcm:1 sequel:2 alekseev:1 but:3 construction:1 aµ:2 hb:2 lectures:1 ha:5 longer:2 absent:2 versions:2 variations:1 up:1 us:3 limit:1 acν:2 problem:4 piece:3 similar:1 detailed:1 ab:23 associated:4 ad:2 defined:3 certain:3 abstract:1 contribute:1 acρ:8 general:6 quantum:4 scientific:1 exist:1 dλ:1 vilkovisky:1 formalism:2 identities:1 constructed:2 grassmann:1 functions:15 no:6 qλ:5 vanishes:1 field:14 setting:2 role:1 details:1 theor:4 conclusion:2 a15:1 schaposnik:1 briefly:1 elements:3 kinds:2 provided:1 models:13 symbol:1 a19:1 a18:1 includes:1 class:9 generated:1 important:4 studied:1 a9:1 structure:12 b311:1 ghost:9 independently:2 correlated:1 implies:2 coupling:2 agh:8 sigma:1 together:3 dρ:1 time:2 firstorder:2 observables:1 starting:3 original:3
0704.2657.txt |@word represent:1 externally:11 code:4 consider:2 limited:1 helical:1 magnetic:80 comparatively:1 focus:2 extensively:1 leads:3 eds:1 expressions:1 disk:2 plasmas:2 sch:1 layers:12 whose:1 inverse:1 depend:3 universe:1 globales:1 technique:1 laid:1 nonlocal:1 tn:5 finally:2 nore:2 under:3 slowest:1 worth:1 hollerbach:1 applied:14 fax:1 kendrick:2 amplitudes:1 wjk:6 advantage:1 propeller:3 conditions:8 results:15 dummy:1 figs:2 difference:4 matrices:3 esm:16 condition:3 illustrated:1 europhys:1 presented:3 impellers:1 proc:1 jumps:1 t2:11 solution:3 t1:10 large:7 solved:4 vector:7 interpolating:1 team:1 small:2 anal:1 shows:5 configurations:2 concluded:1 unexpected:1 tel:1 zj:1 consistent:1 direct:1 sign:2 elegant:1 second:4 dcm:6 design:1 displays:1 further:3 implemented:2 mπ:2 even:2 established:1 what:1 nonlinear:1 appear:1 rate:12 section:2 near:1 expressed:1 thickness:6 henceforth:2 axial:6 experiment:38 new:2 reversals:2 increasing:1 method:9 filled:2 aρ:10 agreement:5 degree:1 respectively:5 galerkin:1 realizations:1 modify:1 here:2 perpendicular:1 behaviour:1 cylindrical:13 china:1 address:2 concluding:1 ratio:7 strong:1 equations:4 nachr:1 box:2 glm:2 geophys:4 shift:1 losses:1 thicknesses:1 significantly:1 resulting:3 domains:5 implement:1 studies:1 scales:1 apr:1 maximizing:2 layer:19 replace:1 dynamos:17 summation:1 nonl:1 circumvent:3 unit:1 plot:2 conventional:1 towards:3 figure:3 working:1 remains:1 abbreviations:1 bourgoin:1 display:1 negative:1 few:1 depicted:2 call:1 taken:4 inner:1 theoretical:1 more:2 sort:1 introducing:1 comparison:3 becomes:4 propellers:2 marks:1 about:1 keplerian:1 tested:1 basically:2 particular:2 known:1 cases:5 effort:1 must:2 account:3 integrating:1 ρi:1 science:1 equation:47 work:3 modified:2 assumptions:1 values:3 carefully:1 widths:1 following:10 dea:7 root:2 example:3 decoupled:3 compare:1 weaker:1 wang:2 indicated:1 process:1 purposes:1 high:1 sphere:2 way:2 imϕ:1 numbers:1 14a:1 analyzed:1 reynolds:9 occur:1 axis:1 end:1 decaying:2 s3:2 s2:7 s1:7 very:1 pair:2 forest:2 siam:1 optimal:1 explains:1 sin:6 oscillatory:2 fs:1 galactic:2 tried:1 gailitis:7 our:6 stefani:10 after:3 variant:1 φr:4 applications:1 dobler:1 plane:3 water:1 law:2 data:1 ambivalent:1 dynamical:1 third:3 computations:1 onto:1 parameter:2 interpolations:1 lines:3 correspond:1 element:4 rather:1 switch:1 so:2 sm:1 barnes:2 operate:1 δml:1 order:4 typical:2 spence:2 indeed:1 over:2 mhd:1 mainly:1 course:1 thermal:1 experiments:4 including:3 thesis:1 elis:1 mentioned:1 existence:4 integro:1 still:2 excitations:1 its:13 tendency:1 gerbeth:8 outer:1 sodium:10 jin:1 inward:1 solving:3 laminar:1 actually:3 production:1 degrees:3 harmonics:1 communication:1 fik:2 might:2 shear:1 eur:2 correspondence:1 13b:1 non:9 good:4 combination:1 ya:2 integral:23 material:1 fig:24 framework:1 walls:1 equidistant:2 effects:7 they:3 rotation:7 matched:1 comptes:1 eigenvalue:7 february:1 gets:1 fully:2 university:1 solver:3 forschungszentrum:1 identified:2 realistic:2 magnitude:1 toroidal:6 electrically:5 found:2 2h:6 characterized:2 mean:3 homogeneous:1 profile:1 domain:4 differential:7 prompted:1 generation:1 energy:3 mdx:1 investigated:2 static:5 measure:1 laboratory:2 eq:5 es:2 out:4 try:1 ultimately:1 matrix:5 space:1 vch:1 restricted:1 since:3 rev:9 vessels:1 denotes:1 increase:1 re:2 acting:1 dsm:6 smk:4 stud:1 denoted:1 rm:18 transfer:1 induced:19 induction:15 geod:1 predicted:1 qil:5 wiley:1 theory:3 ecm:19 galaxies:1 sheer:1 free:5 quite:5 mϕ:6 reason:1 µrel:1 indicates:2 e1:1 definition:1 βv:1 derivation:1 r2:1 geometry:11 starts:2 could:1 cosmic:1 motion:2 turn:1 length:3 produce:2 δik:2 hence:1 moving:2 vϕ:3 first:5 uler:1 already:4 laguerre:1 moler:1 variables:1 number:9 reaches:1 restrict:1 φs1:2 utilized:2 simplified:1 approximately:1 directly:1 art:1 angular:2 xu:4 city:1 given:4 rewritten:1 likely:1 introduction:1 unknown:1 eqs:6 riga:18 system:9 least:1 their:1 rates:6 too:1 convention:1 φs2:2 scheme:4 structures:2 weinheim:1 gives:1 stars:2 discussion:1 polarity:1 turbulent:6 realization:1 transverse:1 part:5 simulate:5 authors:1 than:3 specify:1 modes:2 steel:1 kind:1 liquid:3 surrounding:1 fuchs:1 iteration:1 zero:2 submitted:1 project:1 matter:1 were:4 dynamo:64 etr:1 treated:2 pre:1 astrophys:3 gml:3 radial:1 turned:1 curves:2 need:2 elsevier:1 occupied:2 lid:12 genuine:1 min:2 self:5 responsible:1 axisymmetric:3 outward:2 onset:2 phillips:1 potential:9 generalized:5 finding:1 negligible:1 savart:2 accuracy:1 province:1 spectral:2 added:11 electric:5 impeller:1 price:1 measures:1 most:1 optimized:2 connected:1 but:2 significant:2 remarks:1 rheinhardt:2 measured:11 class:3 magnetohydrodynamics:6 astro:1 advantageous:1 surprising:1 considered:10 steady:7 points:3 exp:2 velocity:20 left:2 typically:1 notion:1 fact:1 quantity:1 impression:1 madison:1 equatorial:3 show:3 nπ:1 timedependent:2 topologies:1 rotating:7 eorat:6 solutions:1 threshold:2 substituting:1 impact:3 based:5 nevertheless:1 implementation:1 explain:1 less:1 outside:1 contour:1 only:8 version:3 aϕ:8 subsection:2 factor:2 iea:7 employed:3 local:4 notation:1 means:1 de:2 udiger:1 fluid:7 dyn:2 ones:4 dz:24 words:1 dv:5 cylinders:1 nordlund:1 ds:3 processes:1 qr:1 turbulence:2 fields:14 arxiv:1 enveloppe:1 investigate:3 paper:4 e1m:25 common:1 analytical:1 shi:1 fixed:1 geometries:1 set:1 res:1 achieved:1 declines:1 resm:1 j0:1 j1:3 detection:1 see:4 radius:5 result:3 eliminating:1 close:1 arm:8 best:1 conductivity:5 closer:1 said:1 ways:1 vks:14 symmetric:1 numer:1 behind:2 un:1 various:2 isosurface:3 use:5 between:3 boundary:16 approach:26 email:1 multiplied:1 dormy:2 vertical:1 uϕ:13 component:3 weak:1 supplemented:1 however:4 implementing:1 vanishing:1 magn:1 key:1 interface:2 uρ:9 succesful:1 topology:1 marty:1 both:3 cos:15 limits:1 freely:1 region:6 decay:5 according:2 attributed:1 called:3 fulfilled:1 personal:1 figures:2 0h:2 expression:1 mari:1 experimental:12 pariev:1 relevant:1 eigenmode:3 rossendorf:1 simple:1 jinan:1 corresponds:1 height:4 dimensional:2 distinguish:1 simply:1 applicability:2 respect:3 speak:1 ps:1 pp:1 described:2 kinematic:21 tremendous:1 b0k:9 poloidal:6 three:5 been:8 reduction:1 lu:1 detrimental:1 treat:1 azimuthal:11 certain:2 ph:3 b0z:13 systems:1 obtained:8 direction:5 corresponding:2 normand:1 am:3 gap:1 relevance:1 observe:1 external:8 astron:1 c2:3 c1:4 denote:2 present:3 bifurcations:1 case:11 handling:1 bρ:19 plasma:1 reliable:1 expanded:1 value:5 will:11 bϕ:19 while:1 optimization:3 eik:1 property:1 margin:1 discretize:1 cylinder:12 would:1 von:8 simulations:1 them:2 surface:6 equal:3 characterize:1 vr:1 examined:1 rij:2 exterior:3 seen:1 vz:1 acquires:1 increased:2 different:8 az:9 cea:1 author:1 pay:1 make:1 lett:8 same:3 shifts:1 another:2 parts:1 virtually:1 modification:1 finite:18 φl:4 φm:3 higher:2 mecanique:1 calculation:1 used:11 numerical:14 effect:4 flows:20 possible:1 action:7 insulating:1 conductors:1 necessity:1 potentials:1 infinite:1 robust:1 linearised:1 recent:2 relies:1 prescribed:1 lower:2 mech:2 off:1 center:1 intermittent:1 performance:1 well:1 analysis:1 without:2 solve:1 comes:1 components:1 simulated:2 coordinate:1 d1m:1 model:1 usual:1 spherical:6 λr:1 brandenburg:1 proposed:1 λt:2 percent:2 proximity:1 obtain:4 actions:2 abbreviation:1 sources:2 shape:1 intervals:1 λf:1 spherically:1 alternative:1 jacobson:2 yet:1 note:3 enters:1 preprint:1 interestingly:1 kluwer:1 application:3 point:2 had:1 source:1 transformed:1 treatment:2 iρ:2 possess:1 solvable:1 excited:1 real:1 rescaled:1 saturation:4 around:3 stein:1 easily:1 read:1 dans:1 inversion:1 harmonic:1 torkelsson:1 deteriorates:1 grid:5 helicity:2 background:1 vacuum:2 confined:2 using:4 variants:1 usually:1 mod:1 necessary:1 like:5 shaped:1 follows:4 reduces:2 14b:1 specific:2 integrals:3 always:1 notorious:1 reduced:1 beltrami:7 qz:1 mathematical:1 satisfactory:1 right:2 methods:4 deal:1 vortices:3 daviaud:3 some:4 growth:13 b0:9 ourselves:1 scale:2 electromagnetic:2 measurements:1 fluids:6 per:2 critical:11 decomposition:1 assuming:1 uml:1 tmj:3 bessel:1 dimensionally:1 dresden:2 reasonable:1 bm:3 equivalent:1 each:2 annular:2 bi:3 illustration:1 bk:11 step:1 uz:15 although:4 become:1 imaginary:2 bz:15 panel:1 gained:1 sub:1 conducting:7 actual:2 carried:2 algebraic:3 freedom:3 dependence:5 o:5 simulation:5 practical:1 addition:1 together:1 germany:1 comp:2 slightly:1 invert:1 road:1 therein:4 discretization:3 computational:1 facility:2 maxwell:2 into:7 within:2 numerically:2 due:1 variable:1 hermitian:1 references:1 cent:2 einstein:1 often:1 grids:2 assumed:4 there:3 approximate:2 long:2 why:1 ordinate:1 start:2 accordingly:1 much:1 low:1 biot:2 slopes:1 was:20 magneto:1 function:1 medium:1 interest:2 form:3 governs:1 phenomena:1 extended:2 volume:3 larger:2 adler:4 observation:1 directed:2 made:1 compute:1 embedded:1 instructive:1 ωs:2 variations:1 maximum:3 dordrecht:1 below:1 frequency:5 represents:1 problem:10 similar:2 laplace:1 ohm:1 shandong:2 pik:4 constant:5 flow:33 abstract:1 aj:5 influence:7 alemany:1 general:3 single:1 13a:1 predictions:1 planets:2 formulation:2 controlled:1 permeability:4 combining:1 simplest:2 regime:3 again:1 compared:3 ideally:1 no:4 guermond:3 when:7 field:83 other:3 electrical:3 details:2 dipolar:1 karlsruhe:2 elements:1 kinds:1 excitation:5 models:1 thibault:1 problems:8 shown:4 deriving:1 important:1 bounded:1 hydromagnetic:2 rendus:1 dissipation:1 stainless:1 structure:11 trapezoidal:1 delineate:1 lm:1 im:1 algorithm:3 assume:1 saclay:1 rule:1 dρ:27 eddies:1 dramatic:1 time:5 dϕ:6 resolution:1 original:4 others:1 stewart:1
0704.2658.txt |@word replacing:5 consider:2 remarkable:2 rev:6 global:1 splitting:1 reformulating:1 inherit:1 four:3 scalar:1 latter:2 computation:6 research:2 contributions:3 issues:1 gh:8 whose:1 c0:3 depend:4 γr:1 white:1 γw:7 nonlocal:1 kγ:1 kβ:2 finally:1 program:1 present:2 th:15 under:8 γc:1 must:5 tyutin:5 interacting:5 deforming:1 federation:1 quantization:1 conditions:2 results:6 mν:6 isomorphism:2 putting:1 hµα:1 hµβ:1 formula:1 hµν:10 difference:1 matrices:5 deformations:5 condition:6 look:1 leads:2 c36:1 riemann:3 irreducible:1 notes:1 troost:1 weinberg:2 solution:29 vector:2 math:7 indices:3 relation:4 enforce:1 jhep:1 2k1:1 lecture:1 consistent:12 rouet:3 direct:2 becchi:3 perspective:1 pass:1 further:4 cft:1 canonical:1 even:1 will:4 what:2 nonlinear:1 stands:1 brackets:1 sum:2 batalin:3 brief:1 expressed:3 consistently:1 above:5 scientists:1 values:2 preserved:1 contrast:1 satisfy:1 full:1 simultaneously:1 degree:2 respectively:10 component:4 here:4 bi:3 following:3 objects:10 possibility:2 groups:1 address:4 represented:4 along:1 quite:1 equations:23 appears:1 obtained:2 antisymmetric:3 study:3 vectors:3 allows:1 ferrara:2 mec:1 accomplished:1 resulting:2 stelle:1 action:9 spacetime:8 f0:3 named:2 useful:1 apr:1 s02:1 b469:1 cγ:6 addressed:2 esole:1 b116:1 anomalies:2 counts:1 univ:1 derivatives:31 takes:1 gravitino:1 prove:1 positive:3 contains:6 kα:3 sµ:1 next:3 γrs:7 nucl:5 doubt:1 therefore:1 lindstr:1 taken:4 conservation:1 type:7 nµ:4 more:1 lungu:2 flat:1 relax:1 clearly:1 becomes:2 yahoo:1 nontriviality:1 berlin:1 s0l:3 known:3 behalf:3 fermionic:7 account:3 valued:1 rβ:2 deformed:2 recall:2 equation:39 work:1 insists:1 theories:2 assumptions:2 obvious:1 gualtieri:1 already:1 fulfill:2 merely:2 arrive:3 example:1 proof:3 control:1 dedicated:1 renormalization:3 do:5 ak:5 organized:1 generically:2 pieces:4 rµναβ:4 effectively:2 lorentz:5 numbers:5 council:1 allowed:2 every:1 verlag:1 information:1 end:4 invoke:1 thing:1 s3:2 s2:3 s1:8 meanwhile:1 mµ:2 nontrivial:17 pure:12 aµνρ:6 instead:1 ordinary:1 parameter:2 map:1 proc:1 algebra:1 may:2 cohomologies:1 after:2 orbits:1 applications:1 faculty:1 requirements:1 divergences:1 constants:2 b501:1 natural:1 effective:3 gimon:1 sq:1 spectra:1 explicit:1 introducing:1 element:1 hypotheses:1 fortunately:1 hβ:4 cannot:2 so:13 allow:2 representation:1 sa:1 order:42 operations:1 restriction:2 acts:1 help:3 produces:2 developed:1 closeness:1 satisfied:2 paper:6 including:1 existence:5 satisfies:1 its:11 vilkovisky:3 nieuwenhuizen:1 longitudinal:2 verifies:1 exact:6 solving:2 conjugation:1 meantime:1 h2:2 absence:1 complex:5 degrees:2 choose:1 mail:4 main:2 might:2 deformation:23 arguments:2 correspondence:1 them:1 motivated:1 greater:2 material:3 finitedimensional:1 introduce:1 graviton:12 preservation:5 they:7 now:3 smoothness:3 2s2:1 represents:4 february:1 finite:3 equality:1 always:1 university:2 cuza:1 reasonable:1 each:10 found:2 european:1 traces:2 side:3 homogeneous:1 spinor:14 differential:12 successively:1 invoked:2 ef:1 related:2 investigated:1 grav:1 combining:1 quantum:2 our:5 ghosts:11 out:1 shown:2 brandt:3 factors:2 restricted:1 since:10 lagrangian:9 qc:1 denotes:5 obstructions:4 investigation:1 mα:3 emerged:1 mβ:1 denoted:3 nontrivially:1 get:3 ro:3 note:2 shows:2 triviality:1 provide:1 reformulation:4 theory:22 mσ:1 interactions:17 contain:1 divergence:1 free:17 standard:4 admits:1 completely:3 term:1 ask:1 van:4 e0:1 interaction:1 derivation:1 ministry:1 linearized:9 motion:1 introduction:1 int:57 b597:1 signature:1 hence:1 proeyen:3 18a:1 βj:1 first:23 romania:1 initial:1 symmetry:8 possessing:1 powerful:1 number:51 pgh:9 done:2 relations:2 precisely:2 δa1:4 given:6 necessarily:1 needed:1 tate:5 2l1:1 accordingly:1 construct:2 henneaux:11 their:11 assumption:2 master:13 types:2 statement:1 stora:3 final:1 gives:1 hα:6 calculations:1 mostly:1 part:1 authors:2 eliminated:1 than:2 wfs:1 kind:1 8k1:1 sectors:1 princeton:2 double:1 zero:16 matter:2 boulanger:4 individual:1 str:1 rarita:23 ber:1 hνα:1 hνβ:1 perturbative:1 symmetries:3 generality:1 spectrum:3 lλ1:2 teitelboim:1 4k2:1 manner:2 4k1:4 need:1 seen:2 any:3 nλ1:3 depending:1 self:8 responsible:1 gravity:7 k3:7 instance:4 k1:3 fp6:1 take:3 k5:6 k4:10 finding:1 subject:3 araru:1 formulas:2 begin:1 added:3 trace:1 opposite:1 object:1 reach:1 algebraic:2 involving:1 ensure:1 comparing:4 sb:2 kay:1 class:1 appear:2 ka:1 observation:1 considered:1 clear:1 cover:1 vertices:1 b333:1 physics:2 section:2 fact:8 laws:1 sector:3 lebedev:1 show:1 supported:2 barnich:7 appearing:1 notations:3 purely:3 gauge:19 solutions:19 decompositions:1 tµ:1 substituting:3 d4:4 trivial:8 find:9 deser:2 o:3 based:6 parameters:2 romanian:2 state:2 controls:1 should:1 only:18 generators:3 gomis:1 factor:1 employed:1 constant:9 local:17 interested:1 abelian:1 notation:5 means:9 mainly:1 dd:2 rept:2 overall:2 nilpotency:3 ones:1 words:1 densities:1 fields:18 transposition:1 arxiv:1 yield:1 acknowledgments:1 investigate:1 prevents:1 pertains:2 view:1 annalen:1 requirement:2 set:2 modulo:1 constructing:2 δa2:2 hν:7 imposing:2 national:1 differentials:1 maximum:2 depends:2 num:1 result:3 waldron:1 δλk:1 howe:1 antighost:26 brst:22 techniques:2 fied:1 nonderivative:1 tensor:10 review:2 supergravity:3 symmetric:3 written:7 various:3 µk:4 between:16 αi:5 invariant:15 neither:1 αj:5 approach:2 discovery:1 preserve:1 multiplied:1 terms:9 right:3 sole:3 however:3 interfere:1 vanishing:2 hypothesis:7 key:1 δai:2 both:6 parentheses:1 last:7 rµανβ:1 many:2 taking:2 mrtn:1 according:7 previously:1 minus:1 fulfilled:1 etc:3 connection:1 hαλ:1 decompose:2 context:2 expand:1 com:1 otherwise:1 among:2 cm:4 point:4 simple:2 others:2 cohomology:15 corresponds:1 insist:1 b246:1 fradkin:1 simply:1 coordinates:1 kλ:1 polynomial:3 respect:7 throughout:1 ct:1 kµν:4 described:4 transformations:2 second:3 basis:3 addition:1 γe0:1 three:3 been:3 tensors:5 ai:13 describes:2 interest:1 basic:1 inv:1 systems:1 generating:1 γb1:1 supersymmetric:1 b102:1 quantities:2 concerning:1 covariance:1 observe:4 representative:1 derivative:10 general:9 spin:1 those:1 case:7 k2:6 splits:2 pacs:1 appearance:1 value:1 aim:2 while:6 replaced:1 behavior:1 koszul:5 investigating:1 property:1 conformal:3 couplings:9 procedure:4 redefinitions:1 studied:2 vol:1 metric:1 thus:4 rahmfeld:1 equal:5 ii:1 reads:2 voronov:2 exterior:4 turns:1 partner:1 vanish:6 j0µ:2 currents:1 gs1:1 d16:1 education:1 develop:1 mµ0:2 grant:1 perform:1 minic:1 make:2 cross:12 same:5 poincar:4 rules:1 antisymmetry:1 γµt:1 split:1 proved:3 physical:1 infer:3 consequence:2 higher:1 development:1 independent:4 literature:2 hαβ:15 see:4 cubic:1 numerical:2 hand:11 γαi:1 unpublished:1 sorella:1 invariance:7 normalization:1 cycle:1 relies:3 least:2 pµ:1 expression:1 locality:4 well:3 commission:1 analysis:2 obviously:1 academic:1 without:7 solve:2 components:5 consistency:1 model:5 possesses:1 left:2 satis:1 graded:1 damour:1 ucv:3 craiova:2 obtain:6 actions:1 vanishes:1 grades:1 antifields:8 world:1 λk:4 λi:1 reality:1 previous:1 adding:1 rs:3 renewed:1 preprint:1 ads:1 generator:1 density:5 mµν:3 conclude:3 δαi:1 reasons:1 belongs:2 conjugated:1 lett:8 easy:2 theorem:1 eur:1 remaining:2 euler:3 real:7 read:2 couple:1 possible:2 spanned:1 possibly:1 were:2 background:4 rµν:3 press:2 using:7 unique:3 gr:1 mod:1 loss:2 theor:2 necessary:1 like:15 follows:6 reduces:4 δu:2 nu:2 specific:1 yields:2 δh:1 arbitrary:5 translated:1 tower:1 δc:1 undifferentiated:4 because:1 methods:1 classical:1 lagrange:3 some:17 springer:1 deduce:5 δbj:1 b0:1 b1:1 moreover:3 γa2:1 γa1:1 γa0:4 happens:1 discarded:1 γbi:2 describing:1 dimensions:1 lead:1 nonempty:1 broad:1 stops:2 does:3 decomposition:4 eliminate:1 imply:1 majorana:2 inserting:4 core:1 γai:4 scientific:1 equivalent:4 lu:1 agreement:1 expansion:1 bk:1 b212:1 step:1 standpoint:1 imaginary:3 properties:3 stage:1 om:1 cncsis:1 central:3 working:1 most:5 2h:3 cohomological:8 discussed:1 dependence:1 j1µ:2 mixes:1 nonvanishing:1 a2:4 plus:1 d67:1 introduced:4 consequently:2 d60:1 d63:1 cambridge:2 parity:1 orders:1 into:13 h1:2 functional:1 due:5 a9:1 weyl:28 references:1 kµα:1 determine:1 proportional:1 bosonic:5 statistics:1 hep:15 anticommutation:1 removing:1 strictly:6 there:11 antifield:7 signifies:5 antibracket:4 start:1 restricts:1 cauchy:2 namely:1 infinitedimensional:1 analyze:3 was:5 function:1 form:8 sequel:1 but:4 cremmer:2 hj:4 construction:2 trum:1 highest:2 partially:1 commun:4 made:7 compute:1 whether:1 characteristic:1 girardello:2 smooth:1 up:7 us:1 tseytlin:1 b419:1 below:1 projecting:1 limit:3 problem:5 similar:2 called:2 ac:1 required:2 associated:4 computing:1 defined:2 abstract:1 describe:6 γb0:1 denote:3 piguet:1 exist:1 bekaert:1 formulation:1 corresponding:5 formalism:3 identities:1 constructed:2 grassmann:1 functions:2 no:13 detail:1 schwinger:23 field:32 definitions:5 other:5 massless:14 balasubramanian:1 sufficient:1 conclusion:6 briefly:1 elements:2 suppl:1 models:1 symbol:1 vertex:1 polynomials:9 includes:1 a1:10 a0:19 generated:1 important:3 bounded:1 tackle:1 ξc:1 structure:2 b311:1 ghost:19 d28:1 implies:3 coupling:5 agh:14 assume:2 requires:3 space:5 together:3 4n:1 impossibility:1 4m:5 time:2 firstorder:1 observables:1 starting:1 original:5 once:1
0704.2659.txt |@word limited:5 code:2 consider:9 maximum:1 interference:1 zamir:2 cdf:1 illustrated:1 edu:3 instantaneous:3 layers:39 replacements:1 aug:1 γp:10 send:2 γt:2 presents:2 γj:2 quasi:3 tm:3 tj:2 γm:3 under:9 awgn:1 γf:1 ptimal:1 case:5 random:2 last:2 stipulate:1 wishes:2 verd:1 polytechnic:1 laneman:1 condition:5 leads:1 transmission:11 t2:1 solution:5 large:5 discrete:3 small:2 shows:2 upper:2 lagrangian:2 zero:5 design:1 further:2 wornell:1 substitute:1 theory:16 index:1 minimization:1 rate:7 onclusion:1 section:8 decoding:3 steiner:2 caire:2 reconstruction:3 increasing:4 method:2 contrast:1 spacing:1 equals:1 shamai:4 refinement:8 slow:1 condenses:1 separation:1 active:3 equations:4 wileyinterscience:1 obtained:1 asilomar:1 receive:1 studied:2 allows:1 binomial:1 products:1 contr:1 plotted:2 followed:1 br:2 extra:2 apr:1 γu:3 achievable:3 apply:1 total:1 unit:3 γk:1 usa:2 army:1 remains:4 γi:8 next:3 shitz:4 depicted:1 therefore:1 averaging:1 taken:2 γo:23 theoretical:1 more:3 knows:1 becomes:6 ti:10 award:2 iid:5 degrade:1 particular:1 antennas:3 cases:2 iii:2 reconstructed:3 evolution:1 sity:1 equation:3 work:3 vetterli:1 trans:11 initial:2 computers:1 process:3 organized:1 states:2 minimum:9 gains:1 information:6 csi:9 recursive:1 rather:1 verify:1 spreads:1 delay:6 adjacent:2 optimal:27 goldsmith:2 inputs:1 mar:2 blocks:4 description:3 may:4 derived:7 scalable:1 snr:15 designed:1 end:3 minimizes:8 minimizer:1 fl:1 parallel:1 realized:8 short:1 sk:1 inform:15 broadcasting:2 negligible:1 lγ:1 s2:1 order:9 over:20 distortion:51 symbols:2 paper:1 xn:1 satisfies:1 eb:1 its:5 before:1 perfect:1 regions:1 derive:3 decay:1 absence:1 ls:1 derivative:1 erlang:1 maximal:1 13b:3 non:4 within:1 than:1 yn:1 kkt:1 fig:12 bound:2 tucker:1 framework:1 identically:1 own:1 nov:2 represents:3 transmitter:18 equality:2 university:2 each:12 characterized:1 mean:3 differential:5 successively:3 eh:14 weight:1 gaussian:12 related:1 wsl:1 used:1 static:3 combining:1 relates:1 honig:1 special:1 intended:2 maximizes:4 apostolopoulos:1 shown:6 space:1 gradient:1 furthermore:1 squared:2 cancels:1 denoted:1 rm:1 ri:2 rk:2 linear:3 normalized:1 written:2 tian:1 approaches:2 estimate:1 remainder:1 jafarkhani:1 mimo:2 erkip:3 r1:3 r2:1 similarly:1 so:1 int:3 isotropic:1 hence:5 first:6 miso:2 simplifies:1 ntroduction:1 probability:5 xm:2 variables:3 mittal:1 coding:19 number:3 channels:12 aggregate:1 smaller:1 onr:1 ystem:1 given:7 necessarily:1 become:1 unknown:1 system:4 relations:1 rates:2 realization:8 show:1 scheme:4 continuous:2 17c:3 17b:2 17a:2 broadcast:16 x2:1 july:1 x1:2 sˆ:4 achieves:1 beh:1 target:2 favors:1 namely:1 submitted:2 limiting:2 idle:1 treated:1 lowest:2 comput:1 rewrite:1 unchanged:3 rimoldi:2 dictate:1 need:1 constrained:1 fading:40 paths:2 min:4 uncoded:1 internat:1 converges:3 onset:1 high:5 build:1 transmit:8 performance:3 unconstrained:2 channel:52 unperturbed:1 calculus:2 towards:2 multiple:2 systems:1 brooklyn:1 codeword:1 measured:1 appear:1 workshop:1 especially:3 considered:1 average:1 cover:3 gracefully:1 refining:1 sum:2 fact:1 12a:4 12b:3 spaced:1 rayleigh:7 supported:3 cdi:1 minimizing:5 solutions:2 superimposed:2 data:1 find:1 d1:1 finally:1 ratio:10 distributed:1 enough:2 should:1 jan:2 only:2 summarizing:1 factor:1 oct:4 achieve:2 do:1 erasure:1 dm:1 above:6 di:4 db:2 expectation:3 joint:4 ones:1 reconstruct:1 interpreted:2 ds:4 runs:1 continuum:1 progressive:2 conditions:1 arxiv:1 across:2 optimally:1 approaching:1 set:4 computed:1 undergoes:2 bounds:2 observed:1 depends:2 computer:1 arg:1 diver:1 analog:3 n00014:1 capacity:10 exponent:6 ieee:17 quasistatic:1 symmetric:1 state:4 between:3 boundary:3 approach:2 email:1 available:2 terms:4 csit:7 receivers:3 darpa:1 jr:1 concentrate:1 analyzed:1 electrical:2 problem:1 improve:1 concentrated:1 received:1 essentially:1 improved:2 region:7 conclusions:1 equal:2 connection:1 layered:12 und:2 receiver:14 exceeds:3 variance:3 decodable:1 among:2 cn:3 characterization:1 reconstructs:2 ca:1 corresponds:2 poly:2 spans:1 cs:1 moreover:1 allocated:7 considers:3 pp:13 described:6 three:1 been:1 strategy:3 exhausted:1 odel:1 describes:2 slowly:4 expected:38 pi:7 define:2 ergodic:3 diversity:15 relaxing:1 else:2 systematic:1 acquiring:2 andrea:2 concentrates:1 p2:3 p1:3 exponential:1 oding:1 single:4 value:1 middle:1 dept:2 while:5 optimization:2 suppose:4 hda:1 error:2 evaluates:1 revisited:1 versus:2 layer:24 larger:2 vol:11 vi:2 thus:2 concatenation:1 iv:3 ii:2 characterize:1 examined:1 conf:4 ower:1 different:2 grant:3 circularly:1 cumulative:13 orders:1 complex:2 finite:4 higher:6 independent:5 investigated:1 numerical:1 upon:1 effect:1 hand:2 allocation:20 uses:4 user:1 pdf:2 infinite:2 robust:1 prescribed:1 lower:13 maximizing:4 recurrence:5 expression:1 modeled:1 without:3 solve:2 lim:4 model:2 conservative:1 gastpar:1 proposed:2 being:1 when:17 obtain:2 assigned:1 sources:1 bandwidth:13 lossy:3 integer:1 simo:2 previous:2 note:3 density:2 nats:1 eferences:1 signals:1 source:39 other:4 extends:2 input:2 remaining:2 take:1 karush:1 around:1 term:3 indexed:1 increases:4 using:3 intel:1 follows:3 signal:3 communications:1 benefit:3 output:3 allerton:1 preclude:1 muri:1 sequence:2 sends:1 duration:2 feder:1 per:3 deniz:1 does:1 tends:2 proc:6 refer:1 limitations:1 noise:3 power:75 equivalent:2 expansion:3 step:2 uz:2 reduces:1 ratios:1 substitution:1 comparison:2 thomas:1 constraint:3 codewords:3 o:1 range:2 estimator:1 constraints:1 sept:2 block:7 referenced:1 communication:1 into:2 successive:10 numerically:1 refines:2 nsf:1 negative:1 down:1 schemes:2 span:1 log:3 diggavi:1 there:4 approximate:1 specifically:2 decode:2 spread:1 accordingly:1 fidelity:1 symp:3 was:1 assumes:1 function:3 hx:1 form:2 forming:1 but:5 wireless:2 pj:3 repeated:1 gain:9 decodes:4 highest:1 commun:2 stanford:3 variations:2 up:3 us:1 below:2 limit:4 kuhn:1 distribution:39 pm:4 globecom:1 constant:2 defined:2 abstract:1 describe:1 denote:2 engineering:2 13a:3 corresponding:3 allocating:1 distributions:2 dγ:1 regime:2 again:1 codes:6 antenna:2 no:14 whereas:1 hybrid:4 vanishes:1 virtual:6 ng:2 ny:1 interested:2 coded:1 sˆk:1 digital:2 deviate:1 elements:1 superposition:1 symbol:4 june:2 chris:1 narayanan:1 independently:1 assume:6 having:2 time:1 original:2 evenly:1
0704.2660.txt |@word monte:3 prot:1 consider:4 remarkable:2 rev:12 magnetic:5 lack:1 results:1 grateful:1 cases:2 whose:1 hetero:1 γj:1 charge:2 th:1 stable:8 fermionic:4 alternating:1 nσ:1 amplitudes:1 ckσ:1 very:3 frequencies:1 induce:3 wave:6 crosses:1 nesting:1 affect:1 difference:2 matrices:1 condition:1 balance:1 level:1 did:2 turns:1 anisotropy:1 solution:12 large:6 solved:1 minimizing:1 small:4 eigenvalues:2 optics:1 noted:1 sapienza:1 miur:1 prediction:1 zc:7 approximation:4 zero:1 evaluated:1 qualitatively:2 dynamics:1 carlo:3 even:2 index:1 diag:3 analogously:1 uniform:6 above:4 new:4 commensurate:2 nant:1 contrast:1 condensed:1 full:1 exchange:1 respectively:1 component:2 here:5 atoms:6 2kf:1 focused:1 separation:10 strong:7 equations:2 obtained:4 trans:2 involved:1 study:5 larger:3 allows:1 leaving:1 chemical:8 resulting:1 domains:2 decouple:2 fourier:1 changes:1 falicov:1 via:1 useful:2 apr:1 namely:2 compare:2 private:1 zwerger:1 modulated:1 orderings:1 total:1 establish:1 estimate:1 dmft:16 use:1 takes:5 would:1 distinct:1 continuous:1 finally:3 giamarchi:1 france:1 ψk:2 ψi:1 moro:1 more:4 separated:3 introducing:1 ecole:2 becomes:2 under:5 validity:2 everywhere:1 normalized:1 varying:1 known:1 hole:4 given:2 iii:2 must:3 md:1 account:1 stabilized:3 mc:3 equation:1 work:4 theories:2 reviews:1 dei:1 crossed:1 following:3 duan:1 bipartite:1 example:1 performed:3 kσ:1 f2:1 indicated:1 calculation:1 neglected:1 states:4 numbers:1 degenerate:1 sharp:1 spanning:1 uibk:1 species:4 varied:1 siz:2 jζ:1 means:1 ultracold:1 antoine:1 regions:5 maps:1 varies:1 pure:6 parameter:6 sin:1 circular:2 profile:2 simplicity:5 mat:2 may:4 mapping:3 diagram:10 isc:1 plane:1 fd:1 µd:1 types:1 diagonal:1 dynamical:2 effective:4 light:1 lines:1 yielding:1 carusotto:1 sj:1 si:1 cannot:1 green:3 allow:1 sb:1 sa:2 order:12 holds:1 help:1 indeed:3 over:4 displayed:3 stability:2 mobilities:1 paper:1 through:1 experimentally:1 cold:2 arrangement:1 its:2 controllable:1 outer:2 how:1 energies:2 interesting:1 masses:3 lm:1 vicinity:1 boson:1 li:3 resort:1 fig:13 communication:1 imbalance:15 defining:1 h0:10 dao:1 introduce:1 framework:1 repulsive:2 effects:1 half:9 bogoliubov:1 now:1 discuss:1 2t:1 easily:1 february:1 several:1 always:2 hamiltonian:2 arrows:2 2z:1 filling:5 xy:3 trap:14 reasonable:1 each:7 found:2 universit:1 interpenetrating:1 characterized:1 mean:11 homogeneous:7 spinor:1 square:1 ek:3 lam:1 energy:5 related:1 group:1 inhomogeneous:1 frequency:1 static:1 entering:1 tˆ:3 our:3 beyond:1 eq:1 out:3 hbcs:1 shown:1 impurity:2 integrates:1 induces:1 particles:1 investigation:1 gˆa:2 smc:1 occurs:1 shows:1 theory:1 interactions:4 discontinuity:1 fisica:1 formation:2 term:1 approach:1 anyhow:1 e0:2 pairs:1 interaction:4 r0:3 r1:4 r2:5 connectivity:1 geometry:1 positiondependent:1 chevy:1 turn:1 place:3 hence:4 onto:2 top:1 first:4 relate:1 variables:2 number:2 channels:1 smaller:4 gases:1 mobile:1 reached:1 ring:3 profiles:2 chargedensity:1 piazzale:1 temperature:1 indicate:1 ordering:9 dipartimento:1 system:12 their:1 intermediate:1 fermions:2 calculations:3 recovered:1 1d:2 centered:1 exactly:1 ekσ:3 optical:5 g2σ:1 than:6 center:1 jump:2 favors:2 anticipate:1 see:5 tunable:2 limiting:2 superfluid:10 future:1 amplitude:1 were:1 tion:1 toward:1 result:1 questionable:2 explicit:1 ann:1 generalization:1 anr:1 keller:1 seen:1 tτ:1 confirms:1 tσ:1 strength:3 convenient:2 self:2 physique:1 note:3 potential:14 generalized:1 εk:2 so:4 techniques:1 switching:1 channel:1 cnrs:2 towards:2 centre:1 kyung:1 roma:3 reach:1 capone:1 phase:39 analytically:1 εkσ:3 pages:1 cazalilla:1 exact:1 considered:3 average:1 later:1 toschi:1 sf:40 part:1 left:1 physics:2 quantity:1 show:2 text:3 doped:1 cdw:43 solutions:3 find:6 ground:9 parameters:3 written:1 aldo:1 only:2 explicitly:1 corresponds:2 circle:3 local:7 resp:2 mixture:2 establishes:1 di:5 dependent:2 de:1 truly:1 pocket:1 ones:1 competing:2 lattices:3 justified:1 densities:1 fields:1 arxiv:1 cf:1 filled:4 analytical:3 fixed:3 inside:4 salomon:1 exists:2 undergoes:1 opposite:2 depends:2 radius:3 quantitatively:1 discussions:1 close:1 uncorrelated:1 kinetic:1 subject:1 phases:7 interacting:1 matter:1 pattern:1 away:1 currently:1 boundaries:2 state:13 simplest:1 drawn:1 boundary:4 reading:1 conditions:3 µc:2 domi:1 nambu:2 recently:1 nature:1 weak:8 r02:2 nd:4 key:1 article:1 understanding:1 assess:1 both:6 cos:1 last:1 candidate:1 many:1 region:4 equal:3 contract:1 supersolid:2 describing:1 dated:1 iv:3 exceeds:1 whole:1 finds:2 con:1 ck:2 detailed:1 ci:4 relevant:1 simple:1 cb:2 ca:3 harmonic:3 dimensional:2 exploit:1 werner:1 simply:1 doping:10 considering:1 ps:3 described:2 decoupling:1 locally:1 three:3 been:3 treat:1 pj:1 lett:6 sjz:1 corresponding:4 observable:1 θb:1 xxz:1 formed:1 selfconsistency:1 gap:1 magnetization:4 observe:1 curves:2 angles:1 worked:1 spin:7 present:1 case:7 handling:1 rbz:3 pacs:1 contexts:1 might:1 accommodating:1 value:4 while:2 applies:1 exist:1 ultra:1 couplings:2 kimball:1 studied:1 orientation:1 refs:1 thus:1 site:5 according:2 ii:4 middle:1 reads:3 vs:4 cond:2 ψkσ:3 fermion:1 definitive:1 different:12 hubbard:2 italy:2 perform:2 make:1 same:1 orders:1 palaiseau:1 emphasize:1 established:1 mixtures:4 finite:1 higher:1 independent:1 used:2 http:1 cubic:1 numerical:3 effect:4 v0:3 levels:2 delicate:1 changing:1 tung:1 six:1 modes:1 hopping:4 minimize:1 expression:1 zoller:1 well:2 eps:1 analysis:2 feshbach:1 consistency:2 model:16 otherwise:1 lin:1 usual:1 lda:5 nc:5 cjσ:1 accurate:1 adjusted:1 rest:1 bandwidth:1 mft:2 atomic:2 predicts:1 spatially:2 rapid:2 strongcoupling:1 density:19 except:1 weiss:1 iω:13 lattice:7 transformed:1 attractive:5 diagonalization:1 iσ:1 transformation:2 noting:1 increased:1 advances:1 innsbruck:1 possible:2 coexistence:1 eorique:1 birth:1 using:4 mod:2 georges:3 semi:1 freericks:1 eel:1 unstable:4 polytechnique:2 arbitrary:1 spins:1 www:1 right:1 classical:3 smoothly:1 tells:1 some:1 scalettar:1 competition:3 table:4 provided:1 cnr:2 dimensions:1 lead:1 bottom:1 rohe:1 resonances:2 normal:2 per:2 critical:2 yields:5 readily:1 agreement:1 unity:1 2m:1 imaginary:1 refers:1 between:11 panel:3 comparison:3 working:1 discussed:4 simulation:1 range:3 extensions:1 massimo:1 bloch:1 artefact:1 presence:5 maxwell:1 into:6 within:2 numerically:1 bath:2 down:1 determine:1 spinors:1 additional:1 assumed:1 support:1 there:2 transform:1 long:1 start:1 quadratic:1 fraction:2 analyze:1 was:3 eg:2 assumes:1 function:3 sdw:1 form:1 enough:2 agrees:1 but:5 cedex:1 construction:1 segregation:2 atom:1 hc:19 line:3 sdi:1 hd:1 coupling:17 again:2 infm:1 made:1 cornaglia:1 characteristic:1 supr:1 variations:2 particle:4 us:2 hybridizes:1 below:2 limit:3 imbalanced:1 fluctuations:1 intersects:1 panels:2 issue:1 regimes:2 meanfield:3 ac:1 associated:2 defined:1 curve:1 describe:1 quantum:5 single:1 reliability:1 sublattices:3 formalism:1 dβ:1 check:1 jaksch:1 physical:1 ni:4 functions:1 dotted:2 no:2 amounts:1 na:1 nb:1 populations:1 when:6 sublattice:3 field:19 spatial:5 test:2 prin:1 er:3 conclusion:4 θa:3 energetic:1 separate:1 variation:1 qσ:2 ξk:9 stan:1 cooper:1 schreck:1 implies:2 longer:2 values:7 4t:1 pseudo:1 together:1 depth:1 mass:12 resolution:1 original:2 bcs:6
0704.2664.txt |@word dist:3 consider:2 global:1 results:1 invent:1 consists:1 follow:1 rectangles:1 deterministic:1 tr:4 include:1 multielectron:2 ıo:1 applied:1 mν:1 veselic:1 application:1 hamiltonian:6 wegner:21 irreducible:1 ri:1 large:2 vector:1 eigenvalues:2 upper:1 zn:6 disordered:1 zd:14 estimates:7 direct:1 likely:1 value:3 spectral:1 sum:1 version:1 above:1 sup:2 bochum:4 increasing:1 method:4 body:1 edited:1 full:3 component:1 equals:1 here:1 localisation:1 refinement:1 address:1 strong:2 box:1 antisymmetric:1 domains:1 changes:1 rafael:1 uniquely:1 stollmann:2 apr:1 use:2 would:1 prove:6 positive:1 disregarding:1 ψn:7 type:2 more:2 binding:2 operators:4 odinger:3 site:3 normalized:2 particular:1 known:1 cases:2 hold:1 fermionic:1 work:3 suhov:2 del:1 following:3 proof:8 states:7 assumptions:1 counting:1 distinguishable:2 klein:1 rather:2 kenig:2 write:2 optimal:2 simplicity:1 product:1 fu:1 singular:1 may:1 max:4 arch:1 sept:1 so:1 sn:1 fundamental:1 decreasing:2 alloy:1 lν:1 order:1 ith:2 developed:1 over:1 paper:8 including:1 kinetic:1 its:7 probability:4 coordinates:2 absence:1 systems:2 mail:1 main:1 into:1 maximal:2 them:1 bernoulli:2 inductively:1 fr:1 they:1 identically:1 yu:1 transparent:1 eigenvalue:3 term:1 presented:1 universita:1 universite:1 each:2 universit:1 subset:2 domain:4 en:19 energy:3 idea:1 society:1 measure:2 multiparticle:2 our:1 avoided:1 matrix:3 space:5 restricted:2 since:3 denotes:2 particles:4 acting:2 denoted:2 suffices:1 integrated:7 math:7 theory:1 localization:9 estimate:14 e1:1 combes:1 e2:1 interaction:3 times:2 american:1 hence:2 first:1 xj:1 xi:8 xn:6 symmetry:2 variables:2 number:1 rank:1 precisely:1 given:4 perturbation:1 introduction:1 πi:1 system:2 assumption:2 fermions:1 scheme:1 speaking:1 gives:1 continuous:3 schr:3 x1:6 diffusion:1 need:1 tells:1 min:5 note:6 potential:7 calculus:1 play:1 allow:1 most:2 regular:3 germany:1 pair:1 homogeneous:1 sfb:1 class:1 interacting:4 spencer:1 feynman:1 random:11 spaces:1 distributed:1 lemma:5 only:3 explicitly:1 factor:1 hamiltonians:3 rectangle:1 continuity:1 do:2 subspaces:2 notation:2 get:2 de:2 expectation:3 famous:1 words:1 new:1 dv:5 dt:7 continuum:2 arxiv:1 through:1 set:4 chulaevsky:2 physically:1 see:3 result:5 close:2 forthcoming:1 subject:2 satisfying:1 exponent:1 subsequent:2 review:1 klopp:2 symmetric:1 conditions:1 recently:1 however:3 key:1 motivations:1 according:1 hω:6 uni:1 otherwise:1 among:1 kirsch:6 simple:1 werner:5 sequences:1 respect:3 throughout:1 ph:1 define:1 corresponding:1 sufficient:1 denote:6 present:2 case:3 multi:7 originate:1 evaluated:1 rectangular:3 will:10 contemp:1 suppose:2 hislop:1 mexico:1 von:1 thus:2 non:2 regularity:2 itself:1 develop:1 things:1 same:1 any:3 split:1 proved:3 finite:2 higher:1 independent:2 purpose:1 potentials:1 changing:1 totally:2 recent:1 off:2 ohlich:1 well:1 analysis:4 without:2 model:8 dimension:1 resp:2 obtain:1 underlying:1 λk:1 λj:2 λi:5 λn:2 preprint:4 density:13 vω:5 lattice:6 priori:1 theorem:5 eigenfunction:1 read:2 immediately:1 ams:1 necessary:1 δx:1 particle:17 δy:1 either:1 disorder:1 mathematical:1 deal:4 some:1 elements:4 provided:1 avoid:1 integration:1 providence:1 minimal:2 reims:1 bn:3 hilbert:5 commun:2 ruhr:3 consequently:2 em:3 tight:2 h0:2 within:1 bound:2 references:1 operator:7 bosonic:1 institut:2 there:2 anderson:15 bosons:1 low:1 call:2 was:5 function:5 multiscale:6 form:3 hv:9 but:1 volume:1 supp:4 multiplicity:1 bounds:1 us:3 ur:1 distribution:2 detailed:1 bourgain:2 hellman:1 defined:2 certain:1 abstract:1 combining:1 proven:1 general:1 quantum:1 single:1 inf:2 distributions:1 analyticity:1 no:2 mathematik:2 δz:1 other:3 role:1 repeat:1 models:4 bounded:7 implies:2 assume:3 requires:1 original:2
0704.2666.txt |@word fredenhagen:1 ambiguities:1 katz:3 cπ:1 partial:1 consider:14 chain:2 switched:1 lagrangian:1 green:1 separates:1 results:3 four:2 obstruction:1 ginzburg:18 disc:6 entropy:1 computation:1 consists:1 follow:1 expressions:2 research:1 contributions:3 ward:4 issues:1 soc:1 compact:2 whose:2 depend:1 calculate:10 obstructions:1 bx3:3 technique:1 charge:22 investigation:1 dijkgraaf:1 manifolds:8 th:46 under:8 must:5 identity:3 indicating:1 started:1 applied:1 conjecture:2 supported:2 string:26 straightforward:2 very:4 desired:1 rise:1 dell:2 induce:2 geometrical:2 x34:2 witten:2 every:3 clemens:1 exact:15 deformations:11 condition:11 generalised:1 switches:1 squares:2 specify:1 riemann:7 solves:1 aw2:1 positions:3 mirror:13 solution:2 integrated:5 discrete:5 adjust:1 science:1 rev:3 configurations:1 zl:4 jhep:20 force:1 curved:1 hori:2 matrices:1 talks:1 integrability:4 value:1 insertion:9 correlator:6 further:3 carlo:1 linear:8 residue:1 trick:1 what:3 abc:1 appear:4 giving:2 trivial:5 section:12 lead:1 circle:2 expressed:4 agrees:1 reminiscent:1 ˆb:14 version:2 poles:1 toric:1 above:18 compactifications:1 new:1 sarkar:1 order:12 method:2 coefficient:3 florea:1 agreement:3 full:10 simultaneously:1 degree:11 respectively:2 nameki:1 wrapping:5 here:4 understanding:1 behaviour:2 met:2 near:2 ansatz:4 address:1 path:2 along:6 equations:13 appears:2 interpret:1 differential:4 obtained:4 ψl:8 technical:1 involved:1 study:4 studied:8 allows:3 reason:1 marie:1 kontsevich:1 spheres:1 ossa:1 superpotential:45 resulting:6 jockers:4 pick:1 action:4 cˆ4:2 suitable:1 spacetime:2 involves:2 plotted:1 uniquely:1 equivalence:3 useful:1 br:1 family:13 elaborated:1 marginal:14 explained:2 julia:1 replace:1 ask:1 addressed:1 sachs:2 controls:1 e4:7 apply:1 total:4 aganagic:2 unit:1 clifford:2 aspinwall:2 use:10 x44:1 x43:3 indicated:1 would:7 prove:1 remains:1 e1:4 contains:6 bundles:1 finally:2 properties:2 ψj:1 few:1 live:1 approach:4 call:2 therefore:15 renormalisation:4 ψm:7 taken:3 survive:1 themselves:1 ψa:8 type:8 more:10 flat:1 coupled:1 elliptic:1 r5:1 successful:1 becomes:4 operators:7 localization:1 corrected:1 disk:1 award:1 4c3:1 ashok:2 long:2 ip1:8 everywhere:2 threefolds:1 ip4:4 particular:15 known:4 projective:2 cases:2 hold:2 potential:8 fermionic:9 states:1 account:1 tachyonic:1 defines:3 left:2 viewed:1 integrating:3 deformed:1 recall:1 equation:16 work:4 show:2 theories:1 reproduce:1 remain:4 infinitesimal:1 values:3 hope:1 following:13 making:1 arrive:1 root:3 example:10 something:1 f1:12 references:1 renormalization:1 figure:1 give:7 calculation:2 expanding:2 sense:1 purposes:1 generically:1 involve:3 effectively:1 keller:2 performed:2 want:4 allowed:1 verlinde:2 counting:4 mcgreevy:2 axis:1 crucial:1 information:1 rescaling:2 end:2 p4:4 rather:2 ideas:2 discussion:2 get:2 parametrised:1 write:1 how:4 compactified:1 holonomy:1 opposite:1 b5:8 instead:2 parametrises:1 warner:3 gaberdiel:6 obius:2 answer:1 map:3 product:1 mar:1 description:14 algebra:3 may:7 dπ:1 earlier:1 derived:1 confirmed:1 φi1:3 reflect:1 consequence:1 plane:4 physik:1 fi:1 generalise:2 kapustin:6 constants:3 natural:2 effective:24 whenever:1 πi:1 chern:6 explicit:9 correspond:3 su:1 provide:1 switch:2 so:5 expression:2 allow:3 correlation:3 obvious:1 representation:5 integrand:1 imply:1 counted:1 turns:1 holds:2 interpretation:9 help:1 indeed:5 over:3 move:3 mainly:2 perturbed:1 interpreted:2 stability:1 paper:6 hypersurface:2 argued:1 existence:1 satisfies:3 still:1 its:5 itp:3 before:3 lg:8 style:1 τm:18 group:6 xl:1 maps:2 chosen:1 picard:5 matthias:1 expectations:2 coordinates:3 actually:3 forms:1 λq1:1 verifies:1 copies:2 tachyon:2 jacobi:4 mail:1 drops:1 sheaves:2 deformation:11 supersymmetry:2 correspondence:3 non:5 good:1 return:1 combination:2 wolfgang:1 outlined:1 introduce:1 landau:18 eˆ:1 they:4 half:3 ˆbr:4 now:6 pointing:1 bigger:1 2a2:2 easily:3 term:13 finite:4 2p:1 duality:2 parameter:2 backgrounds:3 identified:2 possibilities:3 nicely:2 quintic:22 beem:1 each:6 found:4 2n:1 higher:2 traces:1 side:15 mean:1 homogeneous:1 square:1 ei:4 directly:1 weight:3 independent:8 series:1 hypergeometric:5 operator:13 abelian:1 literature:2 obtains:1 combining:5 into:2 our:13 patch:4 special:7 out:4 living:1 shown:5 them:2 matrix:35 rr:1 space:42 gradient:12 res:1 furthermore:6 since:17 induces:3 douglas:2 denotes:1 gˆ:1 rg:22 orbifold:4 rational:5 formula:8 current:1 induced:3 issue:1 correct:1 math:10 shows:2 foundation:1 after:1 turning:1 theory:42 dictionary:1 lawrence:3 b3:3 singularities:1 m4:4 governing:2 standard:4 recalling:1 completely:2 e5:7 hep:45 remainder:1 temperature:1 definition:1 fixed:4 derivation:1 geometry:6 could:4 walcher:4 infinity:1 ordering:1 produce:2 symmetrised:2 δij:1 hence:9 discussions:2 onto:1 strictly:1 first:12 xj:1 xk:1 friedan:1 simplifies:1 impossibly:1 symmetry:10 perturb:2 diaconescu:2 third:2 variables:1 number:7 system:1 done:1 least:2 another:2 ties:2 ring:1 precisely:13 open:20 govindarajan:5 given:11 perturbation:15 checked:5 reference:3 requirement:1 similarly:3 introduction:3 leading:2 5th:2 behaves:1 theoretische:1 relations:4 their:5 assumption:1 fermions:22 calculations:3 realization:1 wrapped:1 hπ:1 scheme:1 national:1 permutation:6 too:1 holomorphic:20 grant:1 asymmetric:1 cˆ:19 4b3:1 exactly:16 lower:2 part:9 somewhat:1 x2:6 x3:21 x1:13 than:1 coefficients:3 x5:13 finitely:4 x55:3 kind:1 x51:3 x52:3 x53:3 fuchs:5 depends:1 correlators:8 claim:1 express:1 determined:4 andreas:1 speaking:1 str:1 were:5 edition:1 treated:1 f17:1 perspective:1 springer:1 ψaj:1 vector:2 symmetries:1 generality:1 rewrite:2 lines:3 unchanged:1 mind:1 spectrum:8 curves:10 roggenkamp:1 already:3 say:2 factorizations:1 sheet:3 disjoint:1 seen:3 orders:4 contents:1 typo:1 ax4:2 characterised:1 able:2 isolated:1 contour:2 note:4 formulation:1 internal:2 take:3 forces:1 klemm:1 xi:1 solve:2 subject:2 modulus:4 elias:1 schomerus:2 unperturbed:1 mckay:1 begin:2 continuous:1 unless:2 fundamental:1 shall:15 sewing:1 satisfy:1 chart:3 mixed:1 most:2 involving:1 thank:2 gauss:1 sheets:2 formulae:1 pair:2 iterate:1 future:1 lerche:8 class:6 tensor:1 observation:1 orlov:1 considered:2 calculated:9 later:2 flow:32 drive:1 typeset:1 curie:1 points:16 recknagel:4 gepner:15 orbifolds:3 usual:3 sigma:2 away:4 fact:20 sector:5 parkes:1 hyper:1 particularly:1 cyclically:1 stefan:1 ej:1 labels:1 herbst:7 ending:1 soluble:1 spaces:4 gauge:1 solutions:7 obstructed:3 keywords:1 analogue:1 d5:1 d2:15 find:12 fifth:2 q1:5 q0:6 partially:1 q2:20 based:1 proposed:1 parameters:17 extending:1 situations:1 explain:2 topological:17 should:8 xm:1 bernard:1 only:22 explicitly:13 threefold:2 x4:11 factor:1 integrate:3 identification:1 constant:4 dˆb:2 local:1 perturbations:3 strings:4 do:3 ωrs:4 dj:1 intersect:1 means:3 intersecting:1 familiar:1 superpotentials:11 db:8 truly:1 joint:1 christopher:1 x24:3 x45:1 systems:1 τl:15 boundary:61 closure:3 constituents:1 roles:1 horizontally:1 fields:9 arxiv:1 zs:4 factorization:2 consisting:1 greene:1 discs:2 common:2 contain:3 switzerland:1 identify:1 cycles:4 view:11 guessing:1 moduli:40 set:5 constructing:1 exists:1 j4:8 j5:10 unpublished:1 differentials:14 j1:9 j3:1 calabi:10 mentioned:1 see:24 uncompactified:1 geometrically:2 result:5 w0:10 separately:1 terms:19 shatashvili:1 theoretic:1 brst:6 techniques:9 surfaces:1 phases:1 vertical:1 factorisation:19 review:2 theisen:1 label:3 symmetric:2 web:1 written:2 classes:2 various:4 roots:1 closed:20 µj:2 x25:3 invariant:1 geometric:7 opening:1 conditions:6 x23:4 virasoro:1 tomasiello:1 recently:3 fˆ:4 extend:2 complementary:1 however:9 acknowledgements:1 bilal:1 ˆb0:1 ji:3 jj:1 τj:1 configuration:1 τk:2 suggested:1 both:5 essentially:2 always:4 chiral:1 many:7 taking:1 mrtn:1 equal:2 against:1 agree:1 etc:2 connection:1 instanton:2 context:3 interesting:2 eth:2 genus:1 adapted:1 finds:1 grounds:1 minima:2 ch:4 necessary:1 point:40 cc:1 landauginzburg:1 cohomology:19 corresponds:2 monodromies:1 2nd:1 dimensional:10 ii:2 simply:4 boson:2 z5:2 polynomial:8 respect:6 li:6 cv:2 branes:63 amer:1 described:16 commutative:1 second:5 basis:1 yau:10 schafer:1 locally:1 charts:3 been:17 z1:4 momentarily:1 describes:4 change:1 interest:4 likewise:1 expected:1 pi:1 define:3 via:2 generating:4 cx3:3 supersymmetric:2 versa:1 going:1 sufficient:2 requires:1 argument:3 bulk:53 zero:6 understand:3 representative:2 derivative:2 c3:2 c2:2 general:6 irrelevant:1 present:1 c4:6 case:15 main:1 bπ:1 look:1 discretely:1 p5:3 contexts:1 appearance:1 evaluated:4 choices:1 will:16 deferred:1 while:8 suppose:1 evaluating:1 applies:2 situation:1 drives:2 conformal:21 couplings:2 procedure:1 φis:3 stabilising:1 changed:1 k3:1 orientation:2 simons:6 candelas:1 vanishes:2 av:2 thus:19 instantons:5 surface:6 x35:2 couples:1 need:5 itself:1 il:1 parametrising:2 vanish:1 superconformal:4 fermion:10 φil:1 ab3:1 capture:1 different:14 suggests:2 generic:7 powers:1 make:3 belong:1 lett:2 same:6 any:7 cˆs:5 complex:16 arguments:4 albano:1 φi:6 constructed:4 infer:1 triangulated:1 difficult:3 fairly:2 used:5 leads:1 embedding:1 cubic:1 bezout:2 effect:1 flows:2 hand:16 usually:2 intersects:1 moving:1 urich:3 potentials:1 hans:1 totally:1 contribution:5 expand:1 recent:1 multiplicities:2 obstructs:1 charges:4 restricted:1 jayaraman:3 well:9 analysis:10 obviously:3 thought:1 de:2 without:1 c5:9 does:6 consistency:3 swiss:1 position:2 model:8 otherwise:1 dimension:1 realised:1 kachru:2 konechny:1 manifold:1 appendices:1 just:4 being:2 captures:1 observed:1 mayr:3 obtain:6 tft:1 backs:1 torus:1 relevant:7 cease:1 using:17 facts:1 adv:4 ˆb2:1 conjugates:1 preprint:1 integer:1 conclusions:3 la:1 except:2 5s:9 5r:7 appeared:2 omelsberger:1 other:13 developments:1 easy:2 theorem:3 manfred:1 consideration:2 solvable:1 transformation:3 generalized:1 real:3 rescaled:1 marco:1 aspects:1 around:4 m5:4 represents:1 read:1 evaluate:2 regard:1 absence:1 possible:2 ope:2 five:4 know:1 background:5 brunner:8 world:4 intersection:1 moreover:2 projects:1 helpful:1 vertically:1 theor:4 imposed:1 like:1 follows:11 twisted:2 specific:4 yields:1 either:1 integrals:10 arbitrary:10 reduced:2 mathematical:1 right:7 methods:9 namely:4 some:5 play:1 driving:1 b4:6 factorisations:21 b0:3 examples:1 b2:2 specified:1 happens:1 provided:2 describing:1 dimensions:3 ηx2:3 footing:1 hodge:2 integration:1 ac3:1 everything:2 critical:2 linearly:3 provides:1 prog:1 ct:1 chains:1 minimal:5 refer:1 who:1 wdvv:1 obey:1 bc:2 rescale:1 damps:1 equivalent:2 euryi:1 analysed:1 expansion:3 dropped:1 bv:2 bw:1 ˆr:2 although:1 lazaroiu:4 concreteness:1 fermat:8 imaginary:2 possesses:1 normalisation:1 between:1 analysing:1 monomials:1 x33:6 about:4 x31:4 central:1 working:1 concretely:1 constraint:1 dˆ:2 universe:1 commun:1 discussed:2 dependence:1 o:1 topologically:2 compatible:1 addition:2 carries:1 a2:3 observe:1 positive:2 adel:1 angelantonj:1 constraints:1 kiritsis:1 equally:1 aquila:2 presence:1 image:1 boundaries:2 integral:7 bound:1 three:9 ηu:1 qrs:2 accounts:1 determine:12 ψa1:3 wrap:1 proportional:3 abel:4 bosonic:1 a3:4 surround:1 page:1 statistics:2 institut:1 additional:3 comparing:2 vafa:3 suffice:1 there:22 question:1 nucl:10 specifically:3 why:1 start:1 decay:1 bosons:2 low:2 way:4 labelling:1 perform:1 was:12 function:19 speculate:1 complete:3 form:20 signs:1 brane:30 analyse:2 but:3 hj:5 ψb:6 construction:2 ethz:3 ψc:4 insertions:6 line:3 parametrise:2 doubling:1 he:1 pull:1 ˆbˆ:1 arranged:1 understood:1 whether:1 represent:1 ωr:1 variations:1 up:2 us:8 ur:1 perturbatively:2 below:1 those:3 problem:6 similar:7 clear:3 expect:2 associated:6 ag:2 defined:11 certain:12 abstract:2 describe:5 direction:3 proven:1 denote:6 globally:3 quantum:2 single:1 proves:2 exist:1 periods:1 interchanged:1 organised:1 dζ:2 corresponding:14 identities:4 simplest:1 fractional:2 physical:2 again:4 functions:8 families:6 no:2 whereas:1 detail:3 field:39 naturforsch:1 interested:4 role:1 details:4 branch:2 cp2:1 trans:1 upper:2 nice:1 picture:1 briefly:1 elements:1 kinds:1 calculating:2 separate:1 models:14 runkel:1 categories:1 polynomials:5 a1:1 generated:2 important:3 a5:8 a4:2 structure:11 network:1 lang:1 x54:3 algebraic:2 condensation:2 implies:11 coupling:6 nullstellensatz:1 vice:1 assume:1 physics:1 curve:11 together:4 original:2 appendix:8 time:8 starting:4 having:1 once:2
0704.2667.txt |@word limited:1 concept:1 gr:6 maximum:1 rev:6 green:5 excellent:1 commun:1 focus:1 leads:2 sergey:1 scalar:3 entropy:4 computation:1 maxima:1 go:2 expressions:2 primer:1 cases:2 localized:2 consider:14 compact:2 astrophysicists:1 isometric:1 ihes:2 depend:5 violate:1 aug:1 hump:7 bimetric:2 factoring:1 recurrence:1 quasi:9 according:1 those:1 elliptic:1 stable:2 visualizing:1 birkh:1 dramatically:1 sent:1 divergent:1 conjecture:1 confirmation:1 presently:1 very:10 frequencies:1 connects:1 distort:1 wave:2 decide:1 fall:2 logarithmically:1 difference:5 exact:1 condition:3 rightmost:3 gravastars:1 school:1 propagating:2 exits:2 gf:1 eigenmodes:1 solution:7 ryan:1 4πgm:1 discrete:4 vector:1 progress:1 recall:2 small:13 frolov:1 satisfying:1 humps:3 lines:1 des:1 force:1 grateful:1 zerilli:1 consistent:1 sin2:2 aip:1 past:2 consists:3 second:5 timescales:1 tangential:1 picked:1 sustaining:1 qualitatively:2 dynamics:4 estimated:1 gm:5 quite:4 even:9 what:8 appear:1 nlm:1 lowest:1 near:9 reasoning:1 current:6 evoked:1 poles:3 sur:1 establishes:1 bdr:1 international:1 falling:6 acknowledgments:1 contrast:1 satisfy:2 edited:2 outgoing:3 full:3 gravitation:1 ibid:1 27g:1 deduces:1 certainly:1 here:10 ranges:1 believed:1 explore:1 objects:3 decay:2 possibility:6 sinh:1 address:1 active:1 consideration:1 strong:1 observing:2 appears:1 z2:11 obtained:3 sending:1 remark:1 tortoise:2 institute:1 study:5 changed:1 allows:1 hughes:1 commonly:1 scatter:1 suggests:2 amount:1 hep:4 milky:1 usually:3 complicated:1 adopting:1 suitable:1 spacetime:12 mimicked:2 topography:1 useful:2 convolution:1 scales:1 apr:1 namely:1 prefer:2 9g:1 unitarity:1 gordon:1 logically:1 apply:1 establish:1 causal:1 unit:1 narayan:4 summer:1 use:1 charge:4 takes:5 would:11 prove:1 distinct:1 positive:14 continuous:1 predictions:1 france:1 33rd:1 therefore:4 taken:6 candidates:1 type:5 theoretical:3 today:1 more:13 separated:2 flat:1 grossmann:1 th:3 relax:1 started:2 detail:1 naive:1 constructs:1 conducting:1 curvature:1 surprisingly:2 realized:1 berlin:1 everywhere:2 marcel:1 separates:1 known:2 hole:73 must:7 states:5 account:1 join:1 broderick:2 erratum:1 science:1 equation:12 work:3 regularity:1 straddle:1 reproduce:2 simplify:1 suggestive:1 mon:1 foils:3 thin:1 astrophys:1 learn:1 following:4 making:1 example:4 proof:1 compare:1 months:1 cosmological:1 give:1 calculation:1 relativistic:3 sitzungsber:1 neglected:1 purposes:1 generically:1 high:1 effectively:1 jul:1 minimum:3 allowed:2 orbits:2 keep:1 verlag:1 information:3 needs:1 regge:1 end:1 dalibard:1 decaying:1 deserves:1 rather:4 verify:1 discussion:1 holds:1 feature:1 regions:1 located:8 need:3 extractions:1 low:2 opposite:2 instead:2 ordinary:1 parameter:6 priori:1 circular:4 oscillatory:1 tension:2 staying:1 galactic:3 tempting:1 structure:4 max:1 after:1 derived:1 quasinormal:1 corrections:2 stars:1 coming:2 kokkotas:1 choice:2 data:2 grow:1 types:1 bekenstein:1 diffusion:2 stress:2 attempt:1 dynamical:3 effective:12 ss:2 light:3 approximation:1 explicit:1 thorne:1 predicted:1 provide:3 so:3 realizes:1 inspiral:1 ssi:1 looking:2 order:11 joins:1 finalized:1 indeed:13 astronomical:3 dy:3 mainly:1 soon:1 years:3 thermal:2 paper:2 through:10 looks:3 znajek:1 signs:1 argued:2 existence:8 y2:1 excitations:1 its:4 galaxy:1 before:2 observational:8 position:1 probability:1 how:3 chosen:1 microstates:3 masses:1 affine:1 translation:1 varies:3 coordinates:1 actually:4 absence:2 distinguishing:1 systems:1 continued:1 derivative:4 schmidt:1 defining:2 versus:1 eventually:1 them:3 8gm:2 ym:4 tthr:1 conversations:1 gauging:1 innermost:1 discriminating:1 geodesic:8 scaling:1 mention:1 emf:1 leftwards:1 they:5 half:2 accumulate:1 mimicking:1 discuss:4 monopolar:1 worlds:1 term:1 finite:7 name:1 spacetimes:1 university:1 level:1 kerr:1 sin:2 sufficiently:1 l2:1 mode:7 reasonable:2 each:1 2l:1 found:3 2i:2 lorentzian:2 domain:3 differential:1 detect:1 simplicity:4 energy:11 ligo:2 reduce:1 idea:1 related:2 astrophysical:6 static:5 yvette:1 entering:1 accumulated:1 quantum:13 our:8 beyond:1 satisfied:1 event:17 special:1 out:6 leave:1 ultimately:1 ψzz:1 network:1 tensions:1 surrounded:1 crucial:3 denotes:1 particles:3 re:1 dominated:1 rel:2 denoted:1 got:1 newly:2 issue:1 ri:1 math:2 shows:4 sinh2:1 earlier:1 turning:5 theory:5 state:2 argument:2 mechanisms:2 given:5 free:2 standard:2 admits:1 difficulty:1 completely:1 formation:3 span:1 generate:2 e2:1 definition:4 interaction:1 r2:4 geometry:4 menlo:1 could:6 impose:1 ds2:3 irrespectively:1 times:1 creates:1 woodbury:1 place:2 exponentially:4 qualification:1 signature:1 consequence:2 moving:4 trickle:1 onto:3 think:3 south:3 first:6 already:4 features:8 symmetry:2 striking:1 waves:1 reciprocally:1 reaches:2 smaller:3 done:1 fast:1 comprises:1 impossible:1 precisely:4 angular:4 take:2 passes:1 little:1 1r:1 exists:2 needed:1 introduction:1 leading:4 top:1 amsterdam:1 their:7 eddy:1 accretion:4 california:1 too:3 passed:1 dt2:3 may:1 final:1 observations:9 shell:1 him:1 collapse:5 trapped:3 schwarzschild:14 visser:1 exactly:2 proving:1 took:1 solodukhin:2 part:7 astrophysically:1 recurrences:1 authors:1 number:4 imposing:1 btz:1 than:6 specify:1 modes:24 clarifying:1 distance:1 kind:1 critically:1 wormhole:74 horizons:2 double:1 anticipate:1 depends:1 humped:4 matter:15 future:1 supposed:1 represents:1 were:5 identical:1 geometrically:1 russia:1 decompose:1 iωt:1 exhibit:1 bridge:1 resistivity:4 sees:1 san:1 membranes:1 bounces:4 pass:1 mind:4 dθ2:2 say:6 width:2 manner:1 inequivalent:1 throat:32 seen:3 seem:2 recover:1 apparently:3 linked:2 karl:1 ray:1 wilson:1 strength:1 zero:1 min:1 latter:2 responsible:1 able:2 gravity:4 mechanism:1 jacobson:1 note:7 instance:9 find:1 concerns:1 square:1 substitute:1 timelike:3 observationally:5 negligible:1 analogs:1 infalling:1 play:2 towards:4 electric:12 shall:8 probed:1 park:1 object:3 viscosity:1 wells:2 falls:3 mimics:1 most:2 regular:4 germany:1 immediate:1 significant:1 preliminary:1 retaining:1 contain:2 extremely:1 class:1 equatorial:1 observation:3 consequences:1 considered:6 clear:6 detectors:1 inferred:1 face:1 proceedings:2 points:1 principle:3 exp:1 left:4 physics:4 away:3 fact:5 saying:1 somewhat:1 show:1 absorbing:1 sceptical:1 probe:1 anyway:1 evaporation:2 rotating:2 purely:3 large:5 spaces:3 relation:1 solutions:3 carefully:1 longer:1 trivial:1 injection:1 make:1 gen:1 slow:1 based:1 just:1 spite:1 paralleling:1 dissipative:5 basel:1 outside:3 should:3 virgo:2 moments:1 only:18 explicitly:1 black:97 geodesics:10 exiting:1 factor:1 ruffini:3 adequate:1 he:2 over:5 equilibrium:1 do:5 his:1 legendre:1 above:10 klein:1 get:4 grey:1 de:1 stop:1 da:3 famous:1 somehow:2 dz:1 nearly:3 closely:1 new:2 during:5 dt:1 written:1 dr:9 subscript:1 becomes:1 unpractical:1 processes:2 resolve:1 overdot:1 stoeger:1 arxiv:10 grav:2 roy:1 qc:4 she:2 though:6 wormholes:14 including:2 extended:1 fixed:1 discussing:2 inside:3 view:1 4g2:2 body:2 etudes:1 set:1 modulo:1 computed:1 observer:5 physically:3 thereby:1 up:2 detection:1 differs:2 see:9 radius:3 result:2 terms:5 forthcoming:1 analog:2 said:1 tensor:3 mentioned:2 ohms:6 ways:3 8g2:2 review:2 wiss:1 tend:2 symmetric:13 multipole:2 enough:4 radiated:1 between:11 orbiting:1 simplifying:1 boundary:3 conditions:3 checks:1 law:1 preuss:1 comparable:1 recently:1 nature:2 emitted:5 weak:1 however:13 killing:1 vanishing:1 extent:4 distinguish:6 come:2 problem:1 4gm:2 suggested:3 both:6 collaborators:1 last:2 limits:1 many:7 taking:2 conclusions:2 equal:5 rzz:2 auser:1 etc:1 became:1 interesting:5 exceeds:1 distinction:2 extracting:1 schroedinger:1 blandford:1 unitarily:1 comparative:1 relevant:2 fields:2 point:14 simple:3 asymptotically:1 period:1 community:1 pole:3 massive:2 non:2 polynomial:1 respect:1 trust:1 considers:1 considering:3 finally:3 described:3 geometries:1 basis:1 addition:1 equations:4 l21:1 three:1 been:2 strategy:2 geo:2 much:6 slowly:1 combined:1 hawking:12 basic:2 expected:1 living:1 bures:1 meeting:1 pl:2 define:2 generating:2 lived:1 corresponding:4 observable:4 route:1 formed:2 resistance:1 essentially:5 modelling:1 spectrum:10 sort:1 observe:3 understand:2 external:3 astron:1 evidence:2 former:2 present:2 case:36 compatible:1 multi:1 look:2 unlike:1 frozen:3 might:7 akad:1 appearance:1 engineering:1 value:11 coarsely:1 will:30 while:5 cosmos:1 replaced:1 situation:3 property:3 conformal:1 region:3 due:1 studied:1 ringing:7 spacelike:1 played:1 phenomenological:1 endowed:2 metric:20 wkb:1 thus:4 toolkit:1 surface:8 clearly:2 characterize:1 vr:1 good:1 claimed:1 vanish:1 currents:1 orbital:1 binary:1 different:10 null:4 verified:1 combination:1 anymore:1 saw:1 granted:1 radiation:9 indistinguishable:3 same:5 poincar:3 complex:1 quant:1 arguments:1 scientifiques:1 modification:1 dimensionless:1 several:7 start:1 higher:1 used:2 infinity:5 slac:1 retarded:5 upon:1 effect:3 hand:1 parametrized:1 levels:2 3gm:3 delicate:1 resonance:1 isco:2 anticipated:1 recent:1 relies:1 lower:1 fourier:1 off:1 center:4 charges:4 makes:1 chartres:1 well:12 analysis:1 thought:2 without:1 solve:1 temperature:1 oscillate:1 english:1 coordinate:9 accreting:5 model:4 2gm:33 parametrically:1 usual:12 restore:1 damour:4 being:4 when:13 observed:1 starting:1 effects:4 vanishes:3 shape:1 distant:1 spherically:3 facts:1 gravastar:1 now:5 interestingly:2 candidate:2 density:2 thinking:1 absorption:1 rivasseau:1 remember:1 guaranteed:1 magnetohydrodynamical:1 counted:1 signals:1 reasons:1 potential:30 treatment:1 relevance:1 plasma:1 excited:1 momentum:4 characteristically:1 real:7 aspects:2 around:6 lacking:1 easily:3 phenomenology:2 couple:1 results:1 possible:3 dark:1 possibly:1 ingoing:1 background:7 destroy:1 using:3 bit:1 unique:4 prominent:1 generated:2 erases:1 like:11 lost:2 qualitative:1 disks:1 specific:2 flux:2 true:2 unstable:1 either:3 integrals:2 arbitrary:2 stationary:4 signal:7 function:5 because:6 old:1 often:2 classical:5 foreseeable:1 creation:1 some:13 back:5 bounce:5 hair:8 francisco:1 examples:3 escape:1 proper:2 home:1 indirect:1 neglecting:1 ourselves:1 happens:3 solving:1 scale:10 dimensions:1 lead:1 bottom:1 resonances:3 normal:5 thank:1 duplantier:1 does:9 connecting:1 tends:1 leftmost:1 content:1 restoring:1 inserting:1 axisymmetric:2 any:5 location:1 radial:21 oscillating:1 pp:3 notably:3 accompanied:1 qnm:15 imaginary:1 includes:1 properties:15 gret:2 about:3 actual:3 carried:1 world:4 extending:1 universe:2 theorems:1 discussed:2 dependence:2 practical:2 remains:1 range:1 involving:1 plus:1 horizon:26 mouth:1 ylm:1 denote:1 emissivity:1 electromagnetic:2 soc:1 magnetic:5 formerly:1 presence:10 previously:1 maxwell:4 into:10 within:7 bound:6 usa:1 negative:2 down:4 nothing:1 right:2 references:1 einstein:4 proportional:2 conceptually:1 methods:2 torn:1 institut:1 assumed:1 there:19 long:4 spread:1 window:1 physicists:2 way:8 crucially:3 astrophysics:1 closed:1 was:8 misner:1 naturally:1 irreversibly:1 ago:2 hospitality:1 lowe:1 north:3 complete:2 form:6 phenomena:3 brane:5 conclusively:1 but:16 sophisticated:1 astro:1 mysterious:1 construction:1 link:2 hopes:1 line:4 irreversible:3 ph:2 especially:2 absent:1 made:3 compute:1 thibault:1 whether:2 characteristic:3 gravitational:10 particle:7 us:11 until:1 below:5 frequency:4 limit:4 ωn:1 continuously:1 computable:1 distribution:2 stages:1 similar:4 motion:2 expect:2 detailed:1 storing:2 penetrating:1 ab:1 ln:6 defined:4 certain:2 abstract:1 deep:1 general:5 globally:6 examine:1 exist:2 together:1 dθ:2 hautes:1 lifetime:1 simplest:1 physical:4 again:2 compared:1 seminar:1 no:14 cos:2 rosen:2 bremen:2 field:21 other:7 role:3 brings:1 test:4 really:3 conclusion:4 conclude:1 wheeler:2 star:3 generates:1 separate:5 models:1 centered:1 uniformly:1 shown:1 precision:1 θdφ2:2 n0:3 foil:3 important:4 blackhole:1 variable:2 sides:1 vein:1 source:8 billion:1 relativity:1 correlated:1 implies:1 happening:1 practically:1 assume:1 values:6 proposed:1 holes:31 orbit:3 rule:1 original:1 mimic:9 summit:1 mass:5 northholland:1 time:31 far:4 nuclei:2 accreted:3 requires:1 having:3
0704.2668.txt |@word limited:1 code:1 mit:1 consider:1 maximum:2 global:1 focus:2 existing:1 illustrated:1 derm:1 entropy:1 hepatitis:1 computation:2 edu:4 go:1 alt:1 research:2 subjects:3 issues:1 sch:6 compact:1 whose:1 hold:1 svms:2 tw:1 concerned:1 illustrates:1 tr:13 supported:1 neighbours:1 program:4 preserved:1 th:1 under:2 include:3 norm:3 eliminate:1 mpg:2 belonging:1 random:9 performs:1 broadly:1 song:1 very:4 frequencies:2 quadruples:1 choice:4 updates:1 entries:2 difference:1 matrices:1 four:2 baking:1 immediately:1 level:1 did:2 isabelle:1 list:1 applicable:3 fewer:1 reg:3 leave:1 discrete:2 convenience:3 vector:3 red:2 uller:2 recall:1 indices:3 biological:2 cmu:1 proof:2 upper:3 employing:1 illustrating:1 concise:1 coefficient:1 prediction:1 lsu:1 fold:3 second:5 cost:2 picked:1 usps:1 incrementally:1 further:3 gretton:11 machines:1 blue:1 aim:1 nonlinear:11 xor:2 power:3 rate:2 section:1 selected:7 expressed:1 uniform:1 current:1 consistently:1 version:2 absolute:1 above:1 international:1 vapnik:2 method:12 contrast:1 satisfy:2 freely:1 statistically:1 full:3 kl1:1 responsiveness:2 respectively:3 here:5 diagonal:1 desired:1 explore:1 dimensionality:1 splice:1 others:1 mul:3 strong:2 table:8 varying:2 obtained:2 arc:1 parameters:2 institute:1 involved:1 leaves:1 larger:2 allows:1 commonly:1 significantly:1 prior:2 accomplished:1 resulting:1 usually:2 fourier:2 mix:1 tasks:2 useful:2 classification:17 nearest:1 apr:1 problematic:1 explained:2 replace:1 percentage:2 weaker:1 motor:3 mmd:11 welch:1 apply:2 detecting:2 linearly:1 readily:2 plot:1 use:12 subsumes:1 additive:1 asymptotic:2 would:2 prove:2 formulated:3 positive:2 filters:2 contains:1 negative:2 properties:3 stored:1 few:1 borgwardt:4 m1:1 therefore:3 m3:3 criteria:2 eyy:1 corvallis:1 care:1 selects:3 theoretical:2 reflects:1 more:11 introducing:1 optimizing:2 formally:1 rhythm:5 relevant:5 becomes:1 operators:1 maximise:2 berlin:1 appendix:3 everywhere:1 virtue:1 particular:4 known:1 cases:4 cardinality:1 iii:3 sample:12 account:1 valued:2 ma:1 permits:1 decouples:1 rkhs:2 work:1 mi:4 fast:1 validation:2 orr:1 bias:6 9th:1 interaction:1 following:2 strategies:2 trans:2 averages:1 example:1 decoupled:1 performed:1 heart:1 compare:3 lemm:2 employs:1 figure:6 nemenman:2 predict:1 unchen:1 trial:2 share:1 implementations:1 high:3 unbiased:4 assumptions:1 numbers:2 want:2 sense:2 triangle:3 magenta:1 ist:1 guarantee:2 normalize:1 information:10 respective:1 end:3 advantage:1 eng:2 provide:5 purpose:1 differences:1 feature:54 machine:9 maps:1 criterion:9 fourth:1 significance:1 answer:1 optimal:1 axis:1 parameter:5 csp:5 classify:1 map:1 product:2 blocks:1 capture:1 may:4 max:1 after:1 derived:2 mapping:1 collection:1 specialised:2 crashed:1 tries:2 explored:1 bioinformatics:1 improving:2 horizontal:1 mpi:1 data:37 types:2 recursive:1 runtime:1 imply:1 whenever:1 goal:1 spectra:1 explicit:1 correspond:3 bs:1 element:1 initiative:1 generic:2 spectral:1 algorithms:3 expression:1 allow:1 correlation:9 region:1 cristianini:2 order:2 wine:1 xj:8 approx:2 interpretation:3 words:2 canberra:3 produces:1 over:9 summarized:1 produced:2 brain:3 lst:1 experiments:7 including:1 lqr:1 statistical:4 during:1 y1:1 satisfies:1 still:2 ieee:3 its:3 before:1 lg:1 le:1 group:1 forwards:1 la:1 exact:1 temporal:2 presence:1 encapsulated:1 coordinates:1 better:5 detected:2 html:1 choose:4 omitted:2 policy:1 decreased:1 schmidt:4 might:1 setting:1 versus:1 vehicle:1 non:3 good:10 ym:1 than:7 spatio:2 mukherjee:1 introduce:1 functional:3 yy:2 framework:3 biomed:2 they:3 bialek:1 now:5 discuss:1 wiley:1 represents:1 term:3 alex:2 always:2 university:1 classified:1 accommodates:1 2d:1 instantiate:2 l0:3 each:17 done:1 entirely:1 ifi:1 reproducing:2 subset:5 square:2 normalisations:1 another:1 formulate:1 experiment:3 2hs:1 hard:1 reduce:1 idea:2 related:4 balanced:1 e57:1 frequency:8 ey:7 ex:9 measure:4 ionosphere:1 our:16 principled:1 differ:1 rep:1 special:1 out:1 large:4 shown:2 matrix:2 space:2 furthermore:4 since:9 interference:1 denotes:5 increase:1 combinatorial:1 conclusions:1 adapt:1 xaxis:1 penalizing:1 denoted:1 illustrate:1 occurs:2 independence:4 shows:2 counterpart:1 exactly:1 performing:2 linear:12 variant:1 ntu:1 lmu:2 greedy:2 difficulty:1 approaches:3 dependencies:1 york:1 members:2 boosting:1 poggio:1 org:1 estimate:4 log:1 training:1 backwards:1 r2:1 kij:4 via:10 could:3 similarly:1 nonnegative:1 filter:3 length:1 produce:1 place:1 due:2 δij:2 hence:3 conducted:1 housing:1 speeds:1 first:10 separable:1 xi:5 features:44 probability:3 xm:1 axes:2 koller:2 variables:8 ez:9 number:7 rank:3 channels:2 instances:1 xy:8 cybernetics:1 least:3 directly:3 owner:1 healthy:1 quality:2 size:11 given:6 necessarily:1 smaller:1 sampled:1 needed:2 introduction:3 meaningful:2 top:3 structured:1 wrapper:1 their:3 compromise:1 observations:2 statement:1 convention:1 rates:1 ordered:2 1m:3 presented:1 too:1 shawe:1 inefficient:1 jmlr:3 recursively:1 continuous:2 part:3 jordan:1 ubingen:1 norms:1 eliminated:1 x1:2 versatility:1 updating:1 population:1 distance:7 target:2 bel:1 accordance:1 require:2 iteration:3 zero:4 aims:1 collinear:1 individual:2 risks:1 were:4 identical:1 outcome:2 tipping:1 kta:6 result:5 collecting:1 hz:4 corre:1 generality:1 correction:1 arg:2 cleveland:1 spectrum:3 needs:1 outperforms:1 need:4 abalone:1 selectors:4 seek:1 clearly:2 computationally:2 lib:1 depending:1 efficient:2 latter:2 able:1 lii:1 lij:2 converges:1 note:6 instance:3 maxi:1 take:3 band:2 finding:3 so:2 subject:4 rkhss:1 competence:1 channel:1 even:1 begin:1 towards:1 inference:1 normal:2 measures:2 correct:2 libsvm:1 most:2 errors:1 germany:2 consistency:1 significant:1 pair:1 assessed:2 sophisticated:1 measured:2 class:10 tensor:1 deviations:1 takes:1 nonlinearity:1 clear:1 adopt:1 statistic:2 kl:1 graphs:2 proceedings:1 points:3 tech:1 principle:1 exp:2 distinctive:1 combinations:1 curio:3 typically:2 sum:1 exx:3 quantity:1 incorporate:1 selection:50 eeg:4 index:2 show:9 german:1 labels:18 funded:1 speedup:2 bin:3 converge:1 obtains:1 elimination:11 indicates:1 spaces:1 solutions:1 dbs:1 find:1 subtracting:1 kst:3 specifically:1 based:2 knowledge:2 copyright:1 implementation:1 situations:1 heavily:1 behind:1 should:4 only:14 explicitly:1 black:1 coefficients:1 factor:1 employed:1 circle:1 local:1 achieve:2 pontil:1 ranking:1 fft:1 handle:1 means:2 de:4 quantified:1 expectation:4 joint:1 ones:1 listed:1 closely:2 new:2 report:2 compute:1 toolbox:1 averaged:2 him:1 symbols:1 runs:1 pearson:7 cardinalities:1 x21:1 arxiv:1 median:4 pascal:1 remove:1 summary:1 paper:2 rfe:2 sonar:1 through:3 fixed:3 automatic:1 kernel:40 requirement:1 set:12 art:1 computed:6 exists:1 exy:6 catastrophic:1 achieves:1 comparable:1 bounds:2 connections:2 responsive:3 computes:1 justification:1 usefulness:1 eliminating:1 usyd:1 fail:1 close:1 optimum:2 facilitates:1 best:6 gmail:1 detect:1 µy:1 µx:1 luv:1 approach:1 subsequent:2 segment:1 artificial:7 label:1 colours:1 rendell:2 state:1 classes:3 various:4 correctly:2 between:16 drawn:7 subscript:1 developer:1 conditions:4 across:1 law:1 x22:1 available:2 basis:1 check:1 terms:5 ability:2 vertical:1 nature:1 visualise:1 restricting:1 combining:1 however:2 scalability:1 derive:1 csie:1 jointly:1 key:1 interface:3 liq:1 distribution:2 originates:1 concentrated:3 both:7 subfigure:1 last:1 reported:1 many:4 taking:3 density:3 according:1 laplace:1 chapelle:1 connection:2 objective:1 figures:1 context:4 variance:4 estimation:13 com:3 experimental:2 generalisation:1 filtering:4 cancer:2 simple:2 invasive:1 1m2:2 corresponds:1 expectations:4 dimensional:1 competent:1 homogeneously:1 simply:2 confirmed:1 learning:17 gene:1 cs:1 respect:3 nicta:5 uci:2 rbf:3 conference:1 kernels:13 described:1 decoupling:1 capable:2 create:2 three:6 been:2 strategy:2 pc:2 reduction:1 much:2 combined:1 likewise:2 expected:1 olkopf:6 universal:3 fukumizu:2 define:3 website:1 adapting:1 describe:2 corresponding:2 samples:5 government:1 m1m:1 covariance:3 cambridge:1 neumann:2 finished:1 observe:2 optimality:1 representative:1 constructing:1 competitive:2 denote:2 irrelevant:2 former:1 present:1 case:3 multimodal:1 multi:2 practise:2 classifications:1 publicly:1 anu:1 e49:1 empirical:5 value:2 choices:1 will:7 cast:1 while:6 suppose:1 error:4 steinwart:2 revisited:1 property:4 spider:3 procedure:1 yi:2 vectors:1 aw:3 almost:3 characteristics:1 ir:1 thus:1 them:4 discrepancy:2 encountered:1 ii:6 unit:1 yj:1 im:7 american:1 uai:1 regression:14 binary:13 different:9 baseline:1 author:1 perform:2 recursion:1 unnormalised:1 cross:5 same:12 any:5 highlighted:1 parts:1 deletion:1 bands:3 proved:2 higher:3 week:1 independent:9 used:13 http:6 see:3 assessment:1 effect:1 hand:3 domains:3 kii:1 journal:1 uses:1 karsten:1 vowel:1 bousquet:1 robust:1 lower:2 task:4 possibly:1 whole:1 colour:1 well:5 davis:1 obviously:1 patterns:1 without:4 relief:6 components:2 sets:3 schn:1 comparisons:1 model:1 dimension:3 left:3 unified:2 protocol:1 just:1 less:1 lowest:1 obtain:3 rest:2 proposes:1 underlying:2 relate:1 predicts:1 world:5 equal:1 alternative:1 speed:1 bit:1 alignment:3 previous:1 adding:1 claim:1 unable:1 guyon:5 improvement:1 signals:2 tuples:2 optimising:1 sydney:1 theorem:8 relevance:2 input:1 guarantees:2 transformation:1 hsic:61 real:7 australia:4 aspects:1 alternatively:1 evaluate:1 showing:1 results:5 possible:4 regard:1 department:2 increases:2 five:1 makes:1 performance:11 press:1 using:22 variants:4 decomposes:1 projects:1 formal:1 serfling:2 loss:1 appearing:1 like:2 sizes:2 reconstruct:1 exploiting:1 conducts:1 manual:1 adult:1 separately:1 informative:1 arthur:2 yields:3 either:2 follows:1 output:2 downward:1 works:2 lation:1 replacement:3 mathematical:2 www:3 because:2 kriegel:1 methods:18 namely:3 people:1 combination:1 stat:1 bach:1 repeat:1 examples:2 choosing:2 convex:1 small:2 process:1 precomputed:1 vol:3 represent:1 dimensions:8 hilbertschmidt:1 bottom:2 demonstrates:1 avoid:1 transactions:1 recorded:2 per:1 does:5 exposition:1 select:6 provides:4 ics:1 steps:1 proc:1 refer:2 measuring:2 pr:6 biased:4 noise:2 bold:1 repository:2 slight:1 selecting:3 equivalent:1 l1:2 confidence:1 rasch:1 how:1 step:3 np:1 although:5 found:1 informatics:1 proceeded:1 nips:4 normalisation:1 hilbert:6 discriminative:1 comparison:1 about:1 collinearity:1 actual:1 justin:1 extension:1 package:1 column:3 theorems:2 dependence:27 o:7 classifier:2 practical:1 range:2 estimator:5 supervised:15 act:3 mean:4 slightly:1 block:1 cutoff:1 computational:2 inclusion:1 h2:1 intl:1 into:4 within:2 predictions:1 bound:2 dataset:4 variable:2 right:2 references:1 estimators:2 operator:3 quickly:1 often:3 k11:2 statistics:5 computer:3 additional:1 comparing:1 removing:1 support:2 there:4 transform:1 normality:2 width:1 pochhammer:2 workshop:1 paradigms:1 inner:1 way:1 irrespective:1 forward:8 smola:7 was:6 regularization:1 third:1 function:4 toward:1 form:1 icml:1 hs:1 m2:3 but:3 gaussian:10 taken:2 repeatedly:1 solved:1 convergence:4 encoded:2 approximation:1 australian:2 partially:1 datasets:26 applying:1 absence:2 embedded:2 society:1 whether:2 type:2 up:3 us:5 until:1 steidl:1 below:2 those:3 maximises:2 integrating:1 demonstrate:1 problem:6 optimisation:2 called:1 uc:1 penalize:1 aa:3 his:1 taylor:1 associated:1 computing:1 defined:3 certain:2 abstract:1 sidestep:1 influence:1 general:6 weston:8 imagination:3 single:3 proves:1 au:2 regularisation:1 goodness:1 av:3 ay:3 exist:1 distributions:3 approximated:1 worse:1 constructed:1 effected:1 mutual:10 compared:2 expect:1 no:2 tuebingen:2 trials:1 when:6 green:1 multiclass:9 acknowledgments:1 hutter:2 other:15 test:5 kira:2 appends:1 conclusion:1 area:1 draw:2 elements:3 models:1 sided:1 become:1 problems:9 meaning:1 important:2 bounded:4 peak:2 scores:1 tackle:1 network:1 building:1 constant:1 independently:3 svm:7 implies:1 bci:5 algorithm:13 assume:2 shafee:1 baker:2 required:1 extraction:1 having:1 passed:1 weights:1 fact:3 time:1 failures:1 backward:12 requires:2 strings:2 once:4
0704.2669.txt |@word limited:1 gu:1 sci:1 switched:1 caused:1 global:1 gg:1 cooperative:1 research:2 contributions:2 rigidity:1 synthetic:1 semiconductor:1 paris:4 subjected:3 tu:1 charge:1 halogen:1 wako:1 under:3 analogous:1 cm2:3 indicating:2 applied:5 frequencies:3 continues:1 exception:1 electron:2 hewlett:1 hirosawa:1 experimentally:1 bubbles:4 continued:1 deformations:1 drag:1 leads:1 vibrational:2 did:1 enom:1 humidity:1 small:1 biological:1 upr:1 noted:1 concluded:1 smaller:1 force:2 findings:1 savoie:1 among:1 unpolarized:1 sign:2 traveling:1 further:1 acid:1 lipid:15 even:2 sud:1 wavenumbers:1 apparatus:1 disruptions:1 section:2 3v:3 thickness:1 current:11 sur:1 above:6 basic:1 new:2 increasing:1 method:1 movement:4 body:2 polarity:1 arb:1 respectively:1 here:1 analysed:1 reported:2 focused:2 separation:1 address:1 active:1 along:2 strong:1 appears:1 change:5 box:1 institute:2 shift:4 studied:1 physiological:3 indentation:1 admixture:1 shifting:1 studies:1 diameter:1 via:1 inference:1 apr:1 inducing:1 lending:1 while:3 addressed:2 marker:2 illumination:3 total:1 tsukagoshi:1 standing:2 biophysical:1 dna:53 indicated:3 would:1 intense:1 positive:1 contains:1 negative:1 france:4 distinct:1 process:2 magnification:1 therefore:3 luminosity:1 films:8 associated:1 type:2 theoretical:2 more:4 attenuates:1 holt:1 glass:1 reversible:3 normalized:1 vdovin:1 known:4 fiks:1 aligned:1 iii:2 must:2 high:7 ma:3 room:7 tokyo:1 science:2 equation:1 des:1 ashcroft:1 mw:2 values:1 temperatures:8 example:2 purity:1 relative:2 figure:5 stacking:3 chip:2 winston:1 premelting:9 sample:3 numbers:1 confocal:1 hydrogen:6 axis:1 influenced:1 ene:1 discussion:1 breaking:2 american:1 formations:1 chemical:2 located:2 lamp:1 fr:1 description:1 may:1 overall:1 after:3 lab:1 applications:1 fb:2 spectrometer:1 rinehart:1 associ:1 parallel:2 polarities:1 natural:3 effective:2 consequently:1 spectra:3 correspond:1 annealing:1 encyclopedia:1 sb:3 order:4 wind:1 typical:1 eron:1 help:1 indeed:1 indistinguishable:1 stability:1 thermal:1 through:7 same:1 stretching:5 japan:2 its:2 thank:1 termed:1 chosen:1 vicinity:1 decreases:4 destroyed:1 systems:1 nakayama:1 mail:1 correspondence:1 bˆ:1 effects:7 oxford:1 now:1 yu:4 structural:6 biomolecular:1 stabilize:1 arrows:3 quantiques:1 vibrations:4 psud:1 2a:1 2b:2 each:1 instability:2 universit:2 side:1 bond:1 interruption:1 financial:1 density:5 sov:2 4b:2 related:1 solution:2 frequency:4 yvette:1 measurement:4 our:5 thick:1 mat:2 etat:1 shown:2 literature:1 matrix:1 furthermore:1 rev:1 atiment:1 increase:2 re:1 investigation:1 intensity:7 suggesting:1 electronics:1 induced:4 cause:1 occurs:1 foundation:1 wiley:1 barrier:2 associate:1 contain:1 reason:1 base:4 formation:1 york:2 estimate:2 inevitable:1 longrange:1 advance:1 interaction:1 sugar:1 created:1 geometry:1 could:1 times:1 silicon:2 conducted:2 friedel:1 signature:1 hence:1 undergo:1 first:1 simply:1 number:3 reaches:1 defects:5 ring:5 electronic:1 electromigration:2 given:1 temperature:29 service:1 start:1 introduction:1 leading:1 top:2 returns:1 annotation:1 their:3 cooling:3 perturbations:2 storm:1 molecular:4 biopolymers:1 williams:1 dnas:2 mostly:1 academy:1 moscow:1 vauquelin:1 injected:1 diminish:1 than:6 observed:11 kindly:1 showed:1 taken:3 bubble:11 kasumov:4 thin:1 states:1 broad:1 were:7 tion:1 toward:2 russia:1 electrically:1 enhancement:1 pre:5 saitama:1 defect:3 attenuation:1 substantial:1 ras:1 anr:1 exhibit:1 clearly:2 irreversibility:1 mermin:1 self:2 physique:3 onset:2 decomposing:1 without:3 objective:1 performance:1 coincide:1 spectral:1 cnrs:2 electric:1 opposite:1 track:1 molecule:6 insets:4 most:3 experiences:1 letter:1 position:1 phase:1 measured:3 why:1 kg:1 average:1 stranded:2 metal:7 kr:1 proceedings:1 electrons:3 ku:1 velocity:1 normally:1 wavenumber:1 emerging:1 insulators:1 gold:1 show:5 scattered:1 russian:1 lense:1 indicate:1 decade:1 deform:1 symmetric:1 conduction:2 explain:2 state:2 should:4 only:2 bases:1 micron:1 molecules:14 acknowledge:1 local:10 plate:1 distance:2 dependent:6 dg:1 de:5 stop:1 dc:1 da:1 beam:1 cannot:2 nearly:1 tungsten:5 during:3 dt:5 du:1 peyrard:1 evolution:4 progressive:1 numerous:1 arxiv:1 denaturation:4 summary:1 bad:1 double:2 cycles:1 view:2 ignored:1 set:1 electrodes:2 edited:1 physically:1 supramolecular:1 national:1 around:2 up:3 resist:1 see:7 individual:1 existence:1 discussions:1 close:2 sem:1 conductivity:25 mechanically:1 probable:1 subsequent:1 review:1 materials:1 boundaries:1 enough:1 between:8 probably:2 µa:1 comparable:1 anti:2 nature:1 importance:1 however:2 jm:1 eriaux:1 configuration:1 endo:2 originates:1 both:3 last:1 minutes:1 region:1 readers:1 heating:6 attributed:1 sensitive:3 grain:1 stackings:1 disappears:1 asked:1 detailed:2 cm:26 conclude:1 carbonyl:1 ca:1 dislocations:2 maintained:1 denis:1 stretched:1 nat:1 moreover:1 dislocation:6 broadens:1 torsion:1 deng:1 fib:1 light:1 described:4 due:7 been:4 whom:1 reduction:4 deposited:1 combined:1 tomlinson:1 certain:2 anisotropic:1 ph:1 pn:1 po:1 fig:14 direction:2 corresponding:2 samples:1 observable:1 moved:1 spectrum:1 observe:1 understand:1 imax:5 c3:2 c2:2 present:3 case:1 microns:1 laser:1 pacs:1 solid:7 reliable:1 batch:1 will:1 cast:3 near:6 pressed:1 behavior:1 irrespective:1 di:2 taking:1 loop:1 maximal:1 larger:1 vf:3 coupled:1 characteristics:5 surface:3 according:2 ii:2 bias:2 cond:1 triple:1 technology:2 movements:2 confirmed:1 verified:1 compromised:1 prior:1 radiation:1 cross:1 elevated:1 shifts:4 complex:7 triangles:1 largest:1 units:1 several:1 higher:3 used:2 peaks:8 optic:1 laboratoire:3 blue:1 upon:1 effect:7 ion:1 insulating:1 moving:1 symmetrical:2 changing:1 contribution:1 destruction:1 lower:5 luminescence:1 solide:1 modes:2 changes:4 well:5 increases:1 physics:5 contact:2 components:1 jetp:1 quantitative:1 chemistry:1 cytosine:1 bodies:1 left:1 just:1 less:3 photo:1 voltage:3 iqbal:1 useful:1 scattering:1 previous:1 monitored:1 vibration:2 had:2 source:1 potential:1 lett:3 cations:1 grating:1 transformation:1 scientific:1 aspects:1 unfiltered:1 disappearance:1 bands:8 dark:2 solides:1 chernogolovka:1 makes:1 background:2 press:1 using:2 nanotechnology:1 unique:1 riken:1 melting:5 modifications:1 imposed:1 like:1 lost:1 diderot:1 nanoscience:1 consensus:1 communications:1 become:2 inter:1 kawasaki:1 reduced:1 cooled:1 therein:1 right:1 schematics:1 creation:2 back:2 bouchiat:1 nucleic:1 images:1 extended:1 provided:1 exploitable:1 tracked:1 umr:1 leak:2 measurements:11 probed:1 semiconductors:1 moderate:1 proc:1 refer:1 investigations:1 tdn:2 power:1 performed:1 journal:4 2c:2 notable:1 conformation:4 rue:1 pressure:1 bp:3 cycling:1 hwa:1 entirely:1 about:5 strick:1 usa:1 soft:2 discussed:1 dependence:2 o:11 dependency:1 range:5 carrier:1 importantly:1 slightly:1 conformations:2 op:1 espci:1 letters:2 presence:1 previously:1 pergamon:1 into:3 within:1 three:2 down:5 pair:1 acad:1 references:1 heated:1 orsay:1 purine:1 teflon:1 assumed:1 support:2 pairing:1 long:3 gif:1 appl:4 low:1 was:13 separate:1 raman:19 considerably:1 thymine:1 elsewhere:1 form:1 differences:2 but:1 displacement:3 expected:2 properly:1 grigoriev:1 elimination:1 line:3 highest:1 irreversible:2 themselves:1 packard:1 inside:1 maximum:1 until:2 placed:1 below:4 those:1 spectroscopy:5 demonstrate:1 distribution:1 panels:1 similar:2 strongly:2 required:1 ordered:1 migrate:1 lps:1 measure:1 influence:1 mode:2 ventra:2 engineering:1 ar:1 au:1 yokohama:1 film:17 physical:2 intercalation:1 again:1 compared:1 nm:4 dotted:1 no:1 biochemistry:1 na:2 whereas:1 when:3 electrical:8 branch:2 department:1 out:1 rt:1 excitation:1 condens:1 models:1 remains:2 backbone:4 prepared:2 bonding:5 peak:8 fermi:1 structure:4 reduc:1 longer:1 resolution:1 contacts:4 curve:1 microelectronics:2 original:1 inset:2 opposing:1 mass:1 remarked:1 4d:1 4a:1 starting:4 4c:1 once:3
0704.2670.txt |@word limited:5 unknotted:1 similarity:118 lagrangian:17 magnetic:14 dynamic:3 extends:2 four:98 entropy:12 parameterization:1 consists:2 kassel:1 payoff:1 whose:21 const:22 violate:3 ergs:4 electricity:3 γq:2 lickorish:1 created:7 presents:1 list:2 γi:1 encyclopaedia:1 γm:11 under:16 hermann:1 aux:2 cm2:4 void:1 rise:4 gχχ:1 every:27 summarized:2 experimentally:3 fractal:2 gaugefixing:1 coxeter:1 differentiated:3 specify:1 tanh:16 solution:32 piling:1 trivalent:7 frozen:9 convenience:1 vector:29 red:13 combine:1 glued:1 heading:2 consistent:7 α2k:2 bialgebra:2 direct:3 millet:1 approximation:8 surrounding:2 second:54 summer:5 3a:1 rigorous:3 even:22 established:2 boc:2 contemp:1 dr2:10 sln:2 liberty:1 xvii:3 above:88 zoomed:1 new:33 net:1 increasing:5 consisting:3 coefficient:8 crunch:26 evolving:19 simultaneously:4 evaluating:1 divergence:1 never:2 equals:2 here:64 atoms:12 ionization:2 governing:1 represented:19 path:8 baxter:5 quite:1 interpret:3 patches:1 obtained:46 property:3 covers:2 study:29 culminate:1 ignoring:1 safarov:2 permit:3 suitable:1 spacetime:271 segments:1 numerical:3 9h:7 baptiste:1 projection:26 gluons:8 pdm:1 explained:6 treatment:2 highly:3 neutrons:2 visible:11 remnant:1 unitary:6 neutrino:44 total:15 univ:3 linearly:1 derivatives:16 metrized:2 ht:3 vogel:3 would:17 bundles:2 negative:21 substitutions:1 γrr:1 kinematics:18 therefore:9 ρrad:1 m2:4 robertson:8 care:1 type:21 until:18 desingularize:1 separated:3 holy:1 relax:1 clearly:4 brings:2 ti:1 curvature:76 t3:5 berlin:3 reversible:1 eternally:1 hole:110 must:74 me:1 obeying:3 springer:5 word:1 rα:3 mc:1 henri:1 ml:8 mo:1 work:13 theories:10 mu:1 mt:1 modify:3 era:7 lipschitz:1 exceptions:1 my:3 example:51 cone:9 transition:1 renormalization:2 give:22 relativistic:3 preserving:3 india:1 generically:2 tekin:1 indicates:1 reviewing:1 want:11 david:1 unordered:1 kφ:9 end:4 thing:1 particularize:1 verify:4 returning:1 how:22 nontrivial:1 disappear:2 adjacent:1 significance:4 answer:3 ordinary:2 classify:7 massive:1 fourdimensional:2 classifying:1 description:18 replacing:4 thermodynamic:3 after:55 minimized:3 demanding:1 diagram:38 summarize:3 law:8 parallel:3 types:1 bekenstein:2 amin:1 gluing:1 third:40 recombination:1 chern:16 hypotheses:2 complexity:1 sons:1 green:4 polytech:2 enter:6 βk:1 order:31 g11:6 operations:1 desingularization:1 interpretation:14 conway:12 over:32 satisfied:24 zem:3 satisfies:16 vaintrob:2 before:69 f41:2 f43:2 f42:2 fittings:2 f44:8 fit:2 somewhere:4 manin:1 interaction:135 exhibits:1 writing:2 better:11 production:9 fig:60 rint:10 hidden:14 easier:2 split:12 maximal:7 them:26 isotopies:2 combination:7 proca:5 school:5 elementary:4 often:3 band:1 bang:47 effects:67 they:39 singularity:26 kirillov:1 represents:4 netherlands:1 pgw:1 invariants:75 aob:1 classified:1 alternately:1 hepth:1 filling:3 arrow:2 each:69 simplified:2 went:1 decreasing:2 side:5 s1:1 mean:38 schemes:4 evolve:8 series:4 braiding:1 journ:2 principles:1 january:1 applicable:1 antiparticle:35 weinberg:1 precedes:1 ghosts:1 t1:8 extract:1 sounds:2 rq:6 rr:2 rs:24 gradient:6 xv:5 c2m:4 excepting:13 rz:2 particles:91 re:3 rg:1 multiply:1 conjectured:2 mν:1 got:1 rn:5 ro:5 ri:4 interchanging:3 sinh2:16 gromov:2 perception:21 turning:1 linear:5 assured:2 associate:31 herman:1 given:67 free:7 standard:8 nth:2 formation:22 violation:6 checked:3 r4:19 r5:2 r0:15 r1:1 r2:126 r3:27 starts:1 ds2:19 viewing:1 creates:10 resonable:1 signature:4 uses:1 generalizations:5 size:3 already:8 necessity:1 ferrando:1 reciprocally:1 peculiarity:1 spinning:1 warped:2 disappearing:2 another:29 indices:1 clarity:4 gθθ:1 a3n:23 illustrate:1 likely:1 indicate:2 xii:10 top:9 twisted:1 tot:1 needed:1 perturbations:16 zeros:1 too:8 xiv:6 xix:2 ordered:1 john:2 unbroken:1 ashtekar:2 collapse:124 centered:1 b23:1 realization:1 took:5 α1k:10 b338:1 vhel:1 p50:1 begins:4 distance:27 roles:3 msri:1 divisible:1 tsi:4 evaporates:2 rate:3 bi:1 matter:140 classes:12 evaporated:39 saleur:1 minus:4 perturbative:13 bridge:13 fashion:1 sees:31 rewrite:2 modern:2 mind:2 dθ2:7 manner:5 conventionally:1 seen:105 seem:3 ergoregion:1 contents:3 ray:3 gyroid:1 convenient:2 latter:1 coresponding:1 isolated:2 indexes:2 oriented:44 fitting:1 ribbon:1 neither:2 indexed:1 giommi:1 explanation:1 circles:4 blue:17 culminated:1 though:2 object:338 catastrophe:1 metrics:7 extending:1 regular:1 letter:1 phase:4 acknowledgements:2 inconsistency:1 gβγ:1 singer:4 observation:11 tridimensional:1 calculated:1 brackets:1 curvatures:5 vertices:15 yang:11 principle:5 detriment:1 vries:2 sum:19 came:1 dover:1 pks:1 pope:1 departing:5 random:1 colors:2 gauge:35 solutions:29 absorbs:2 d4:5 d2:12 d3:5 departed:1 touches:1 copy:1 resemblance:1 popescu:381 situations:14 explain:4 topological:48 coefficients:5 rich:2 stephani:5 g00:9 continuity:2 do:24 dm:7 klein:1 di:1 df:1 dg:1 dd:1 de:21 db:3 perceive:8 da:3 dz:1 dx:4 dy:2 report:3 reconstruct:1 dt:33 dφ2:7 dr:24 ds:10 holland:1 runs:1 contributes:2 f52:7 covering:2 textbooks:1 fields:112 translating:2 penrose:1 dipping:1 patch:5 greene:2 microscope:1 analytical:1 drinfeld:1 farther:1 riemannian:15 res:1 helicoid:405 observer:257 nut:1 observed:42 depends:4 radius:22 result:42 w1:1 discussions:1 stringlike:1 dµ:126 wadati:2 best:3 subject:3 said:11 fivedimensional:3 tensor:79 somerville:1 away:6 rings:2 supergravity:2 propagates:1 eigenstates:3 xvi:4 pressures:3 unable:1 µi:10 simplest:5 seven:1 drawn:2 approach:6 discovery:2 preserve:1 terms:20 amplitude:6 positron:8 nature:9 component:31 wl:7 weak:25 however:13 ltd:1 vassiliev:13 unfold:1 news:1 topology:23 suggested:2 c23:5 cos:287 providing:2 c24:1 compton:2 colloquium:1 cod:1 subsections:1 uni:6 contribution:5 f15:6 disappears:2 active:1 exclusively:2 polynomial:69 diff:5 speak:1 conference:1 m223:18 basis:18 union:7 observing:4 infinit:1 chirality:1 three:126 been:13 much:5 frw:330 interest:1 basic:4 expected:2 algebras:4 ann:1 ts1:2 dots:2 ranicki:1 graphical:7 θi:7 supersymmetric:6 deeper:3 relaxing:1 quantities:6 argument:2 coherent:1 spin:7 θw:38 manifolds:111 applied:8 exception:1 reciprocal:3 fractality:1 originate:1 remaining:4 euclidean:2 near:12 suppose:5 viii:12 applies:2 stopping:1 gave:8 procedure:1 a20:2 ix:12 cylinder:59 spacelike:43 submatrix:1 iv:40 ii:99 need:10 ik:1 ij:1 anticipating:1 exterior:4 comparative:3 endpoints:1 ie:2 ig:1 wissenschaften:1 containing:21 specialization:3 things:1 make:9 atiyah:8 expect:5 gφt:1 intersecting:1 gφk:1 comastri:1 complex:11 quant:1 connectedness:1 plates:2 several:1 showing:2 uncharged:1 a2p:3 independent:11 peaks:2 welsh:1 i2:1 hang:1 counterparts:4 hand:21 tβα:6 beeing:1 jki:2 potentials:1 dadhich:1 a2n:1 cycle:16 weakly:9 kept:2 changes:6 boxes:3 academic:4 contact:9 jean:2 left:10 unified:16 background:18 just:21 diameter:1 able:33 rotated:9 homogeneity:1 assigned:2 identify:7 transforms:9 rotates:4 gφφ:2 yet:4 previous:26 adding:2 enters:7 classification:17 decomposing:1 similarities:2 regarded:6 had:14 ideal:4 iω:1 belongs:3 transformed:3 5h:2 easy:8 apart:3 expelled:2 iφ:1 noether:1 iθ:3 relating:2 advances:1 possible:89 natan:4 whichever:2 unification:5 dφk:16 unique:12 occurring:6 atmospheres:1 anticipation:1 g33:8 appearing:1 obvious:1 performing:1 unnecessary:1 deus:751 specific:18 bps:1 2007e:12 2007b:16 schwarz:6 arbitrary:8 aoc:1 www:4 right:17 deal:1 understand:5 successfully:1 begin:2 born:1 meters:1 indirect:1 manifest:1 bottom:4 electromagnetic:77 quarks:78 antimatter:55 comments:2 contributing:2 everything:2 strangeness:1 asking:1 unit:2 korteweg:2 discerning:1 2007c:15 core:7 meanings:1 minimization:1 annal:1 dropped:1 elucidate:1 stefan:4 oscillating:1 turaev:4 unfrozen:3 leptons:34 substitution:7 super:2 properties:18 proceed:1 chapter:1 counterclockwise:2 o:4 ψr:15 plus:4 continous:2 horizon:35 calculating:1 propagate:3 ic1:1 slightly:2 obs:1 considerations:4 soc:10 publishing:1 presence:3 maxwell:7 obtaining:1 bound:2 ψw:22 down:15 lies:1 hermitian:1 ussr:1 inclusive:1 refined:1 reducing:2 cones:1 fortsch:1 choosen:1 fabric:1 vafa:1 initial:29 transform:4 class:7 width:3 conservation:11 physicists:3 way:70 resulted:7 call:6 gim:2 gil:1 was:41 gii:2 m0:19 form:54 unoriented:2 forming:4 becoming:16 differences:4 h02:29 placing:2 heat:2 understandable:1 solar:1 cαβ:1 laurent:1 removed:1 true:3 vevs:1 integrality:1 wρ:1 compactification:1 inside:24 atop:1 maraschi:1 tell:1 considered:31 masbaum:3 gawedzki:1 sides:1 cosmos:1 arccosh:1 emit:1 b1:10 originating:4 phil:1 proved:9 a1p:1 classic:4 abstract:19 b3:22 proven:3 evidence:1 dξ:1 conserved:4 xiii:7 exist:20 dθ:2 dζ:4 commuting:1 check:5 triangles:1 constructed:14 nh:1 dotted:3 no:63 na:2 whereas:1 nc:1 generally:5 perceiving:1 nf:1 reality:3 schroeder:1 interested:3 role:8 papers:6 nr:3 nt:1 operators:3 a14:1 intend:4 a10:1 initio:1 surprise:1 felt:1 ccat:4 transported:1 substract:3 protons:2 variable:5 transfers:1 ξc:2 gets:2 jones:34 lm:4 happening:4 pion:1 dω:5 dφ:13 dχ:2 proposed:1 modules:1 dσ:5 together:20 time:172 n0:1 observables:6 nuclei:8 ecat:2 precedent:2 neighbors:2 xviii:2 concept:1 chain:2 untwist:1 equalities:1 global:195 focus:2 invent:1 leads:3 roy:1 computation:8 remarkably:1 rot:2 row:14 inverse:7 depend:4 graph:22 simplify:1 editors:3 12h:1 charge:28 compensate:2 ilmanen:1 analogous:6 circumstances:1 t11:5 taub:1 string:46 advantage:2 orthogonal:2 hirsch:1 b426:1 lrm:3 choice:17 bjorken:1 cutting:1 maskawa:6 ocneanu:1 orientations:5 entries:2 3ap:1 exact:3 discovered:4 perceived:15 riemann:15 solves:1 level:222 tear:1 turns:7 anisotropy:5 mb:1 travels:2 discrete:6 perceives:6 div:3 m212:17 der:2 upper:5 revolution:1 says:4 villa:5 trend:2 dealing:3 prediction:1 cosh:261 poenaru:1 rλ:3 rough:1 substitute:11 spectral:2 g22:6 appear:8 g21:2 a3p:27 axes:1 rm:1 dχ2:7 goes:9 international:2 falling:5 filled:1 satisfy:17 αii:54 mr:7 understanding:2 struwe:2 cos5:2 cos4:6 tangent:3 cos2:34 groups:37 xν:2 galileo:2 along:3 xα:2 taylor:1 appears:5 change:14 box:5 arc:1 yetter:1 institute:21 studied:14 exiting:2 simultaneous:3 suggestion:1 usually:4 resonance:3 t22:5 studies:3 useful:6 selfsimilarity:3 2φt:2 compare:1 logical:1 bullock:1 columns:2 dxν:1 quotiented:1 fake:2 2φk:7 planck:5 flavors:7 additive:3 sharper:1 intensively:1 covariant:14 positive:20 stated:1 intense:2 live:6 going:5 opposed:2 https:1 films:1 qs:2 associated:31 theoretical:3 diagrams:18 introducing:3 pavlov:1 duality:9 coassociative:1 share:1 dxµ:1 apparent:3 envelope:1 validity:4 fµν:8 absorptions:1 appel:2 rigid:6 far:3 eλ:8 cases:21 eζ:1 substraction:2 νe:1 valued:5 piles:1 collision:1 deformed:6 decay:5 inertial:14 modified:5 hopf:3 labeled:1 values:29 hope:1 pλ:7 following:45 making:14 modifies:1 trans:4 geometrized:4 dedicated:2 degenerate:5 figure:67 predict:3 νb:4 monge:1 topic:2 stecker:1 νl:7 handle:1 spanning:17 counting:2 r22:2 r20:1 pink:4 validated:1 requirements:1 antibaryons:1 fortunately:1 tilt:1 divided:1 xˆ:35 range:5 freezes:2 strikingly:1 nyi:1 criterion:6 fourth:34 familiar:1 heritage:1 coleman:1 absolute:8 parameter:16 ψtr:3 map:20 product:19 y123:3 y124:1 ghisellini:1 huge:1 may:30 max:1 dx2:1 4tu:5 dx0:1 applications:6 produce:1 representations:20 data:8 eighth:1 compactify:1 stress:9 hannover:1 natural:12 dynamical:1 liquid:1 higgs:1 whenever:3 lemmas:1 sp:1 explicit:4 su:138 cosmology:19 quadrant:9 provide:2 switch:2 aβ:2 so:76 block:20 sm:1 sl:23 representation:98 increase:7 talk:3 typical:1 breaking:2 joins:1 nucleon:3 indeed:2 mainly:1 flips:1 years:2 stability:16 course:1 surviving:1 experiments:5 statistical:1 still:24 tendency:1 observational:2 s2:1 emits:3 derive:8 group:40 chandrasekhar:1 summands:1 interesting:9 jim:1 adimensional:1 jik:2 coordinates:91 gen:1 forms:18 continue:1 gtt:5 main:9 happened:2 correspondence:9 non:91 thereby:1 rotations:1 dxβ:1 introduce:6 scaling:5 hamilton:8 half:13 arriving:1 now:43 nor:1 term:15 freyd:1 equality:13 name:5 spacetimes:8 james:2 hαβ:10 didn:1 kerr:1 establishing:1 orthonormal:5 bursts:2 luminosity:4 aap:3 eighties:1 quarter:4 scattering:5 em:15 spinor:1 domain:2 holonomy:1 ei:9 bursting:2 ed:1 eg:10 ef:2 gaussian:4 conventions:2 involve:2 entering:3 colorings:1 happen:5 avoided:1 eq:2 helicoids:31 er:7 living:5 shown:11 accomplish:1 space:131 furthermore:3 squared:2 looking:8 transforming:2 contained:47 suggesting:1 formula:20 correct:18 shows:6 mνi:2 theory:77 state:57 singularities:18 seventh:1 possibility:9 quark:83 homeomorphism:1 complicated:7 karcher:4 org:1 e1:9 e0:25 e3:30 e2:15 advance:1 cβα:1 language:2 question:6 flare:1 collapsing:37 impose:6 combinatorics:1 motion:16 turn:3 place:22 gordon:1 mkn:1 rewrites:2 think:4 first:74 romania:2 xi:17 xn:1 symmetry:68 bion:2 variables:4 coming:25 u0:14 xx:1 computing:1 specifically:2 directly:9 b448:1 impossible:15 ring:3 open:6 angular:8 constructing:4 interchange:2 little:2 derives:1 sheet:3 2007d:13 unitarity:2 mcgraw:1 crossings:12 structured:1 yii:1 inv:1 unruh:2 1a:2 ebl:4 seiberg:11 constants:5 convention:1 t33:4 speaking:3 gives:31 schwarzschild:7 continuous:5 proving:1 accurately:1 j1:5 released:21 tqft:6 x2:66 x3:68 x0:7 x1:58 representing:10 than:23 x4:78 x5:88 relative:11 unfortunately:2 co:7 require:3 hypersurfaces:6 future:7 were:17 pulsation:5 decompose:1 pre:57 ang:2 ana:1 remained:1 correction:1 turned:1 matem:1 generalization:1 say:18 seifert:5 distorted:10 exchanging:1 20h:2 saw:41 any:33 kevin:1 conversion:1 answering:1 aside:1 converges:2 note:6 emphasis:2 potential:34 take:21 timelike:60 interior:5 registered:19 formulas:3 santiago:2 multiple:6 trace:5 opposite:2 friedman:1 correlation:5 neutrinos:47 evaporate:2 an4:1 algebraic:5 pair:12 baryons:16 analytically:1 involving:2 xµ:8 forever:1 dordrecht:1 average:1 later:12 implications:22 g12:2 ways:4 pattern:1 isotopy:17 sigma:4 quantity:5 walking:1 show:11 leibniz:2 jµ:5 atom:20 b48:1 dy2:1 notations:3 spaces:6 frolov:1 sketchy:1 isomeric:1 counit:1 multiverse:3 fifth:14 homology:11 slow:1 ratio:3 romanian:21 outside:3 texture:1 homfly:11 analytic:1 only:142 explicitly:3 black:159 equipped:6 tba:1 gev:16 get:46 αf:1 freezing:1 truly:3 aα:2 affecting:1 cannot:11 tk2:177 nearly:2 subgroups:2 invariant:63 boudary:2 geo:1 αk:103 prime:3 regarding:1 utd:1 seemed:1 govindarajan:1 naked:1 2πi:1 predicted:1 characteristic:4 homeomorphic:2 ricci:28 j4:5 violated:1 comparable:7 j2:5 j3:87 connections:9 namely:3 differentiable:1 surgery:1 uncorrelated:3 gtm:1 surfaces:151 satisfying:5 commutation:1 extragalactic:4 ud:2 definite:3 label:1 concretely:1 behind:5 jth:1 between:205 αi:1 geometric:16 across:8 multiplied:2 notice:3 visualized:1 ju:4 killing:3 jl:1 concentrate:5 comm:6 jk:22 analyzed:8 comb:1 come:7 reaction:1 remarques:1 resides:1 tractable:1 many:20 region:11 according:1 laplace:7 mathematical:17 fiz:1 σy:1 σx:1 purely:1 instanton:25 embedding:8 concentrates:1 expression:11 fix:2 comes:9 nearby:2 among:3 affine:1 characterization:1 color:5 period:4 insist:2 skein:11 jets:4 pole:1 anti:144 conjugation:1 lagrange:1 cancel:3 moreover:5 considers:1 branes:5 considering:27 unusual:1 amer:3 submanifold:2 capable:2 suppressed:1 skew:4 locally:7 mari:2 tensors:6 workshop:2 combined:1 likewise:1 acν:1 direction:7 6h:4 formed:6 photon:2 σi:2 movies:2 observers:4 observe:29 external:318 careful:1 those:3 case:224 processes:4 le:2 intimately:1 proves:9 helicoidal:108 situation:53 tunneling:1 conformal:40 σa:1 ive:1 planar:6 orientation:12 coupled:1 endowed:1 metric:57 engaged:2 couples:1 cluster:1 someone:1 ambient:2 peskin:1 d15:1 different:52 formalism:4 verified:2 σz:1 pay:1 granted:1 coexisting:2 θext:9 same:163 poincar:3 epoch:2 arguments:2 catenoids:23 events:3 status:1 wires:1 assigns:1 singapore:1 cmb:1 doublets:1 edges:18 intended:1 changing:6 invariance:4 totally:1 unlike:1 charges:3 decimals:1 roughly:2 morphisms:6 without:36 solve:1 components:69 coordinate:48 model:34 dimension:48 charged:4 r00:3 remember:2 unsolvable:1 manifold:76 φtt:1 minima:13 being:76 φtx:1 leyva:5 resolution:2 rest:6 vanishes:2 infeld:1 torus:6 ch:60 handed:5 correspondences:1 multiplet:1 flavor:10 speed:1 multiples:1 swapping:1 death:2 thinking:2 photons:5 relevant:3 seems:3 parametrization:2 mirrored:1 cc:1 unambiguously:1 pile:1 lett:8 versa:1 heavier:2 momentum:1 seams:2 aspects:2 around:4 fabc:4 rules:7 eaµ:1 decomposed:2 dark:52 inflation:1 vacuum:22 world:28 ams:4 21h:1 mod:3 particle:144 identifying:2 desitter:1 khovanov:3 reduces:3 velocities:6 exploit:1 agreement:2 ucd:1 either:28 integrals:2 multiplicative:2 nice:1 2xµ:1 reduced:22 beltrami:7 ucb:1 specifies:1 picture:4 isoenergetic:2 pacific:2 supplementary:7 ante:1 deduce:2 erase:1 respect:4 gkl:1 birth:1 energetic:2 provided:2 slice:2 dimensions:21 eiθ:3 tube:6 mesons:7 models:4 partials:1 critical:2 exit:4 provides:1 propagating:1 refer:1 desingularized:1 vg:2 scientific:1 power:7 sixth:1 equivalent:34 broken:1 meets:1 symp:1 jager:1 explicitely:2 specializations:1 francis:1 shortest:1 comparison:1 vh:4 central:11 huisken:1 instantaneously:1 classifies:1 theorems:1 discussed:2 meaning:42 greater:2 greatly:1 neighbor:2 chow:2 mixed:2 gregory:1 2k:2 dimensionality:1 perturbed:3 cambridge:1 redshift:1 image:16 copies:1 sharp:1 references:19 determine:16 einstein:11 operator:15 mark:1 nowadays:2 faµν:2 theoretically:1 hep:4 log:2 area:2 h03:2 ortiz:1 unmodified:2 there:65 disposed:1 hurewicz:1 start:1 ohtsuki:1 threemanifolds:1 low:1 gravit:1 corichi:1 bubble:72 osaka:1 ligo:1 emergence:1 complete:23 shapere:1 regard:1 delayed:1 displacement:1 correlated:4 aµ:40 functor:1 trying:1 irreversible:3 faster:1 extend:3 ωx:12 applying:10 annihilate:3 embedded:81 uster:1 minkowski:94 3t4:1 assume:3 submanifolds:2 3t2:1 b431:1 monopole:3 homotopy:4 obtains:2 aa:4 ab:2 certain:3 ak:2 describe:28 moved:1 ao:1 general:32 ap:106 au:12 dπ:4 formulation:7 lifetime:8 moves:9 orientability:1 film:1 again:29 e32:1 topologists:2 rosen:1 pfaffian:4 graduate:1 acknowledgments:19 valid:14 remarks:1 majorana:6 iga:2 spatial:31 mathematics:6 you:5 massless:2 deviation:1 polar:7 briefly:1 symbol:1 vertex:7 kirchhoff:1 a1:86 a0:11 a3:341 a2:236 60a:1 a4:53 included:1 arcsin:3 assets:1 curve:2 impossibility:3 passed:1 mass:74 boone:2 resembles:1 starting:5 original:3 cobordisms:9 represent:2 sci:1 consider:46 pth:2 alg:1 pte:1 lack:5 splitting:3 perelman:1 scalar:37 generalize:3 follow:4 expressions:6 disk:2 reasoning:2 content:5 preserves:1 weierstrass:1 remarkable:3 combinatorial:3 tv:1 tt:1 equivalence:12 tr:7 acting:1 tn:1 kα:2 tk:470 th:4 skip:1 tg:167 amplitudes:1 mpc:2 laws:1 very:12 removing:4 induce:2 results:102 witten:26 worst:1 interpreting:1 fall:4 bubbles:23 difference:23 newly:1 condition:11 disconnected:2 6x6:2 subsets:1 hamiltonian:1 t4:1 t2:191 joined:2 t0:1 md:13 large:9 abµ:1 small:10 lisa:1 physically:1 gc:5 llm:3 periodicity:1 arccos:1 past:2 zero:57 normed:1 perspective:11 further:8 reine:2 situated:22 tev:4 canonical:4 bilinear:5 trick:1 what:30 nonlinear:5 sub:40 gβα:22 abh:1 section:25 resume:2 brief:1 version:5 sur:8 intersect:1 aaν:1 solitonic:1 method:8 contrast:3 movement:19 full:1 escaping:1 iσa:1 hitchin:2 modular:1 cylindrical:13 ansatz:44 excess:8 directions:2 strong:17 equations:75 antisymmetric:4 colored:5 losses:1 allows:3 experience:3 amount:3 periodic:9 action:27 narrow:1 quotient:5 uniquely:11 via:4 followed:5 homotopic:1 family:25 requiring:2 vii:13 analyzing:2 b227:1 establish:3 donaldson:22 conventional:1 takes:12 levine:3 distinct:6 contains:13 finally:6 comparing:3 nucl:10 ψi:49 ψl:13 qcd:2 taken:3 ψc:5 ψf:12 blazars:3 more:33 flat:35 diamond:1 ejected:1 immersion:4 readers:1 company:2 corrected:1 emission:40 surprisingly:1 basically:1 particular:19 known:12 projective:1 vel:1 chiral:1 nutku:3 evolves:29 keeping:6 monopoles:4 2yk:1 middle:1 recall:4 equation:55 grundlehren:1 det:12 viro:1 remain:5 dem:1 evolved:14 learn:1 history:4 f0:6 ions:1 f2:7 f3:1 vv:1 cosmological:40 νr:6 cosmic:1 neglected:2 states:24 νd:7 minimum:8 νa:2 numbers:31 νc:11 sense:11 exclude:2 magenta:2 axis:16 information:7 b402:1 goal:1 rather:4 acts:2 maps:4 explains:3 ensemble:1 kosinski:1 simplicity:6 fr:1 tried:1 algebra:19 φ2k:175 fy:1 wiley:1 derived:13 reflect:1 catalog:1 plane:30 spectacularly:1 ff:2 φ2t:3 fi:2 horizontal:1 φ2x:3 concentrating:1 fn:2 short:4 spectra:15 egw:3 departure:2 generic:2 fundamental:14 replied:1 fβ:3 help:10 ith:1 hierarchy:8 developed:1 ejecta:1 distortion:7 thermal:7 paper:79 through:45 signs:10 existence:17 kinetic:8 its:141 features:2 rapidly:2 przytycki:1 energies:13 2rs:3 border:2 solving:11 antisymmetry:1 boson:10 actually:10 absence:3 strange:3 systems:4 disagrees:1 might:7 deformation:5 supersymmetry:1 yi:10 good:3 return:1 gibbs:3 dim:2 ye:2 annihilated:2 number:60 cosh4:8 framework:7 γkij:1 cosh2:20 cosh3:2 oxford:2 yu:3 yt:2 bigger:15 yv:1 2t:1 restrict:1 φk:369 2p:1 2r:7 always:2 presented:1 statement:9 philosophical:1 labeling:1 intermediary:4 2d:1 2f:2 2a:2 radial:10 comultiplication:1 found:21 2n:4 2h:178 2i:36 characterized:10 referred:1 heavy:5 w3:2 generation:7 house:1 energy:217 smoothings:4 reduce:3 idea:5 used:25 extended:2 connect:1 fist:1 kobe:2 quantum:46 infinity:8 operation:2 beyond:3 hartley:3 event:22 really:5 w2:2 try:3 electroweak:11 tangle:3 solved:5 nuovo:1 since:12 induces:2 denotes:3 si:2 handles:1 dominated:7 hill:1 izv:1 denoted:1 ftk:1 induced:4 occurs:10 annihilates:5 wisconsin:1 reformulated:1 circumstance:1 2h0:5 1920s:1 story:3 overcrossing:1 enveloping:1 difficulty:1 reason:7 imagine:1 ask:1 beginning:4 generate:5 definition:11 pairs:9 trr:2 symbolized:4 conformally:1 m213:18 a4n:19 american:3 enough:9 consequence:26 assign:2 integrand:1 knots:47 coloring:4 major:1 probability:3 perturb:3 relate:1 reflected:1 linking:11 unexpected:1 done:14 least:13 illustrating:1 subring:1 passes:3 differ:3 perturbation:18 temperature:4 jet:2 introduction:19 interact:7 construct:22 characterize:1 assumption:2 kµ:1 justified:1 dt2:6 celotti:1 quadratic:4 observations:8 holomorphic:2 saint:1 trapped:5 baryon:22 recursively:2 park:2 part:47 favorable:2 authors:2 sign:28 unrealistic:1 ψaµ:3 center:7 dtk:22 kind:6 scheme:3 determines:3 cyclic:4 horizons:2 double:19 typically:1 plateaus:1 annihilation:11 minimize:2 determined:33 supposed:4 str:2 interacts:1 toward:22 treated:1 bνµ:2 remarque:4 lewandowski:1 electrodynamics:2 canceling:1 download:1 conjugate:59 tφ:7 quasars:2 ρdm:2 orders:1 lie:16 generalizes:1 constructions:1 jour:6 depending:2 self:254 k3:20 k2:14 k1:13 internal:62 generalized:13 antiquarks:1 finding:5 absorbtion:2 play:3 towards:6 electric:18 populate:1 infinitely:1 measures:1 reach:6 chart:18 2tk:7 leave:1 most:13 charm:2 plan:1 nothing:3 ψa1:1 ψa2:1 extremely:4 amax:2 tangles:3 stands:3 equatorial:1 lorenzian:1 soviet:1 clear:4 morse:5 km:7 kl:1 ext:6 electrons:2 exp:69 kt:9 velocity:35 ky:3 justify:1 physics:12 differentiate:2 sector:3 bending:1 hyper:352 phenomenon:9 muon:1 evaporation:18 relation:32 3u:4 duhem:3 fine:1 find:11 priori:1 completion:1 current:11 causality:4 parameters:15 writes:3 distributed:2 ball:9 monomial:2 experiment:1 iem:4 subsection:1 factor:28 circle:5 bernstein:1 huygens:2 proximity:1 ruiz:1 abelian:7 his:16 triangle:8 gains:1 notation:6 dependent:1 express:8 assumed:4 trees:14 grew:1 valuable:6 combinations:5 during:1 bludman:2 him:1 freedman:5 alexander:7 spikes:2 showed:2 iδ:5 millenium:1 remove:2 investigate:1 common:3 wrote:1 ik3:1 ik2:1 ik1:1 set:51 achieved:5 tree:12 unpublished:2 iωx:3 calabi:1 see:118 individual:2 sea:1 antiparticles:17 close:1 curvilinear:3 analog:1 project:1 gravitation:6 dn:1 pictures:2 positivity:1 f23:10 f22:9 f21:11 won:3 various:1 f25:8 f24:2 incompatibility:1 consecutive:3 conditions:14 pictured:1 siebert:2 knowing:9 recently:2 missing:4 initially:3 c34:1 complement:4 attention:5 uus:1 vanishing:4 conjugates:5 invisible:3 uud:2 uub:1 both:28 last:12 reverse:3 iγ0:1 magnetism:2 bispinor:1 sensitive:1 connection:18 lusztig:1 context:1 forgotten:1 cos3:2 whole:1 experimental:1 twentieth:1 orientable:3 separation:1 point:69 simple:8 lagrangians:1 others:2 corresponds:6 proton:11 except:6 dimensional:209 xβ:2 unfolded:2 simply:18 selfsimilar:5 faraday:3 throughout:1 algorithmically:1 ps:1 ensures:1 pq:4 described:33 transformations:7 thermodynamics:1 scherk:4 accentuate:1 create:2 acceptance:1 due:7 implicit:1 whom:1 describes:10 pf:3 pg:1 muons:1 ph:3 z3:26 empty:27 pm:10 tg2:33 addison:2 generating:3 partly:4 labastida:5 wheeler:1 gas:3 precision:3 spectrum:29 determination:4 demand:1 surveys:1 gab:2 p3:1 unify:1 look:7 pacs:17 indefinitely:1 xa1:1 straight:2 xa3:1 rope:1 while:82 replaced:5 compactness:1 behavior:17 du2:1 couplings:3 loop:7 real:89 vectors:3 century:1 vol:3 triply:2 binding:7 reads:1 itself:9 triple:6 vanish:4 alone:1 fermion:9 currents:2 increased:1 meridians:1 anymore:3 lengths:2 shorter:1 fβα:43 γµt:1 modification:2 survey:1 relatively:1 composition:2 neutron:12 higher:27 development:6 sophisticated:1 literature:2 pictorial:1 comprehensive:1 wilson:4 flows:6 triangulation:2 steps:2 moment:23 levels:32 moving:9 purpose:1 ωtot:15 indefinite:1 predecessors:1 recent:1 early:1 lower:27 kauffman:15 b393:1 bod:2 underlies:1 analysis:8 picks:1 edge:14 blanchet:1 normals:1 san:1 2gm:1 weakest:2 shape:2 questions:1 using:51 λi:134 contradicting:1 aaµ:2 cut:2 kluwer:1 conclusions:19 extra:2 thang:1 throats:1 source:5 k0:2 location:1 theorem:26 relevance:1 guarantees:1 solvable:2 transformation:28 euler:6 big:74 couple:3 marked:4 integer:9 bit:2 modifying:1 8πg:10 rg0:1 8c2:2 modifications:2 rotate:3 imposed:2 christine:1 semi:2 shaped:5 follows:18 disks:2 ees:4 translates:9 separately:2 flux:4 imposes:1 unstable:4 translated:2 contradictions:1 variant:1 topologically:2 permittivity:1 bucharest:2 traczyk:1 methods:14 christian:1 creation:10 some:39 back:2 understood:3 strongest:2 added:1 examples:1 b2:13 mirror:13 universes:4 permissive:1 infall:8 ourselves:6 scale:59 describing:12 euclidian:13 resonances:1 analize:1 integration:2 providence:3 behave:2 eliminate:5 prog:2 proc:3 cabibbo:33 minimal:69 inserting:1 evaporating:13 varying:5 bb:5 bc:3 s13:5 s12:5 bn:1 bo:5 continuing:3 perpendicular:4 akutsu:2 cochran:1 step:12 bp:3 nowhere:1 helvetici:1 cgs:1 gibbons:8 asymptotic:3 integers:1 works:3 working:4 gνν:3 constraint:7 idv:17 novikov:1 prove:6 simulation:4 f31:7 f32:9 f33:12 f34:1 f35:7 gamma:2 ida:2 seeing:5 computational:1 christoffel:5 munkres:1 into:136 within:3 integral:9 isomorphic:1 sphere:14 appropriate:5 antileptons:1 behaving:1 detectors:1 rows:3 u4:2 2007a:16 u1:29 lond:1 long:2 u2:21 aν:12 bosons:4 righthanded:1 analyze:7 sections:10 opens:1 himself:3 totality:3 soliton:1 great:1 collapsed:53 anywhere:1 gauss:4 eϕ:1 link:62 doubly:1 line:5 collapses:13 raising:1 utb:1 intuitive:4 uu:1 ut:2 up:31 us:26 um:2 uts:1 differentiably:1 un:1 today:1 approaches:3 fluctuations:1 ug:1 similar:148 called:26 uc:1 sometimes:3 constant:37 worthwhile:1 defined:56 flow:53 influence:3 doesn:3 globally:2 quantification:1 single:6 associates:1 dragging:3 defines:5 friedmann:20 grr:18 fixing:1 composing:26 xb3:1 xb2:1 application:12 points:28 electrical:1 interpretable:1 dv2:1 elements:29 generates:11 excitation:2 multiplicity:3 problems:2 polynomials:9 replace:2 generated:11 allowing:2 depicting:1 mathematischen:1 structure:33 eiδ:2 endomorphism:3 bases:1 independently:6 suffers:1 implies:9 anything:1 algorithm:2 vice:1 age:6 required:2 holes:43 fossati:1 notion:1 overline:1 equivalently:18 delta:1 implied:1 weights:1 walker:14 everywhere:1 nash:1 joining:1 requires:2 having:80 once:2 gw:8 gt:4 partial:7 gr:4 extremes:1 aliev:2 knotted:1 gz:6 existing:6 illustrated:2 eds:1 proposition:10 torii:2 sαn:1 go:1 gl:1 contributions:7 gi:23 equivalences:1 compact:20 b380:1 iii:35 aνµ:2 precollapse:2 dz2:1 weyl:1 excluded:2 stable:4 decomposition:2 include:1 saying:2 g2:2 2ri:1 g0:13 onemli:1 continues:1 account:16 sabin:2 wave:58 electron:10 rotational:1 putting:1 trough:1 antipode:2 mixing:2 matrices:16 categories:3 entire:4 exits:3 notes:1 tokyo:1 bxi:2 rθθ:1 dealt:1 eigenvalues:5 catenoid:284 dν:3 infinities:1 configurations:2 concluded:1 strongly:1 smaller:6 zi:1 ze:3 sin2:94 sin3:11 narlikar:1 zy:2 incidentally:1 dynamics:19 odd:1 rrr:6 index:5 transverse:7 plays:3 invertible:2 chicago:2 giving:10 3p:1 3w:2 analogously:1 expressed:7 networks:2 access:1 3h:18 drags:1 continously:2 d1:1 chose:1 degree:6 respectively:17 friedmannrobertson:6 pushing:1 eλ0:15 objects:181 sinh:265 meet:1 consideration:1 drell:1 z1:60 z2:61 extreme:2 stellar:1 remark:3 trefoil:24 pressure:3 involved:1 larger:1 contradiction:2 leaving:3 suggests:1 ctg:1 resulting:30 g55:7 existent:1 proof:6 makes:22 involves:1 composed:9 named:3 formulated:1 colorable:1 scales:3 sgp:1 cobordism:8 scaled:2 addressed:1 decrease:6 apply:1 ninth:1 meson:5 use:26 haken:3 gtφ:2 commun:3 remains:9 eiωx:2 next:4 few:5 depicted:1 reciprocity:1 generators:30 themselves:2 burst:2 historically:1 separates:1 aod:1 ecole:2 becomes:32 gluon:2 arranging:1 saito:1 osserman:1 1980s:4 ρc:2 crosses:6 ace:8 electrodynamic:2 challenge:1 when:170 infinitesimal:14 crossed:3 publications:1 fulfill:2 closing:1 coproduct:1 conformity:6 plug:1 fulfillment:1 wedge:1 weaker:1 links:59 chosen:3 process:23 allowed:5 pieces:1 high:1 lorentz:17 something:3 tab:4 irreducible:1 feynman:2 varied:1 six:1 guthrie:1 compostela:2 occur:3 regions:4 brian:1 varies:6 reducible:4 instead:18 verlag:6 sin:323 profile:1 p5:4 blocks:3 singular:27 immersed:32 act:1 hight:1 collection:2 fluid:15 xc2:1 permanent:1 xc1:1 xνi:1 b6:1 disproved:1 society:1 realized:1 eight:1 physical:30 computations:3 light:12 lines:27 correspond:9 element:23 diffeomorphism:6 allow:6 jussieu:1 photoelectric:1 discussion:3 gµν:9 unsolved:1 determinantal:1 reversal:2 produces:1 astronomical:21 move:3 meter:2 interpreted:3 symbols:5 dv:3 mathematicians:2 theo:1 including:2 looks:3 finitely:8 hypersurface:25 mentioned:2 accrete:1 galaxy:2 lf:17 bridges:4 ld:5 du:5 outer:3 exclusion:4 la:22 ln:10 temporal:25 relativity:3 dispose:1 previously:12 lt:4 primordial:3 choose:4 derivative:16 defining:2 ly:3 freeman:1 orfler:2 junction:1 pure:80 parabola:2 bernoulli:3 material:1 indexing:2 mention:2 graviton:1 rext:15 bar:4 rotation:18 continuum:2 worlds:1 dirac:14 betti:1 smoothly:2 verifying:1 begr:1 university:1 traced:1 identified:2 cauchyriemann:1 sufficiently:1 magnitude:1 l2:5 trap:1 truth:1 electrically:1 crossing:19 monomials:1 ts2:5 ts3:1 lorentzian:1 constraints:6 homogeneous:3 exemplify:1 arxiv:5 unical:1 doing:3 related:20 inverted:2 constitute:1 catenary:4 kobayashi:6 frequency:5 static:1 measure:1 separating:1 our:107 indicatrix:1 tenth:1 special:3 out:15 category:15 matrix:69 periodicities:1 xσk:1 reidemeister:10 develop:2 rev:6 bad:1 similarly:3 posteriori:1 mediated:5 geom:10 m2i:8 lecture:1 adaptive:2 induction:1 math:36 rewrote:1 approached:1 interactions:68 galaxies:2 diagonal:1 release:9 completely:5 threedimensional:1 york:7 disintegrating:2 kaul:1 monographs:1 particularized:1 hubble:24 dirichlet:2 monoidal:1 xc3:1 geometry:62 could:5 shells:1 m20:2 times:6 ahler:2 length:7 gµµ:2 adrian:2 hence:4 teor:1 repeats:7 strictly:2 isbn:5 manuscript:19 martin:1 barotropic:2 powerful:1 reaches:8 t44:4 bonnet:1 intuitively:3 reached:2 precisely:4 bracket:7 reference:14 hyperbolic:3 ordering:1 unknown:2 adjoint:2 behaves:4 system:34 relations:23 their:85 intermediate:1 g44:2 fermions:14 lescop:1 final:22 shell:1 branch:4 academy:21 reversed:11 writhe:3 zθ:1 simulate:1 branches:2 domains:1 neck:10 treatise:1 65a:1 cimento:1 deformations:1 limiting:4 appealing:2 sed:8 reproduction:1 f12:11 f13:9 f11:10 f14:2 projections:6 hz:4 symmetries:9 fcat:2 unchanged:4 curves:3 fcab:1 fail:3 thorne:1 sen:1 throat:1 curved:3 constrained:3 apparently:1 linked:4 viewed:4 iφk:1 acceleration:2 robertsonwalker:1 6t2:1 angle:40 studying:3 mills:6 gravity:10 mechanism:1 gχ:1 instance:2 techniques:2 soap:3 sn:1 calculus:1 lectures:3 unless:2 ts:2 who:2 gθ:1 visualize:1 connected:44 overlapping:1 definitions:1 formalisms:2 intrinsic:1 why:5 volume:153 isotopic:5 consequences:7 ckm:19 neighboring:1 hh:2 counted:3 graphs:10 proceedings:1 hi:1 snapshot:1 ampere:1 penning:1 fact:19 comtet:1 text:2 ergosphere:84 anyway:1 rotating:9 ki:3 xd3:1 xd2:1 xd1:1 hierarchic:1 longer:2 trivial:29 milnor:5 q1:88 symmetric:13 q2:105 based:4 knowledge:1 baryonic:8 fans:1 jap:2 should:18 lemma:4 princeton:1 candidates:1 ambiguity:1 equivalents:1 emitting:4 local:79 preliminaries:1 achieve:2 equilibrium:10 keeps:2 means:28 convert:1 hopefully:1 quantified:1 bear:1 ramallo:1 ones:23 words:7 timing:1 procedures:1 gray:2 evolution:33 densities:5 encounters:1 differential:22 coll:1 grav:1 calling:1 qa:16 qc:15 qb:12 xµj:1 contain:10 pulses:2 wesley:2 fixed:7 generations:10 view:23 moduli:26 multiplying:2 modulo:4 computed:11 exists:9 hν:1 hβ:1 smooth:7 frame:44 correlations:7 module:6 freeze:2 intensity:8 computer:3 operated:1 embeddings:5 luminous:1 expects:1 quantizing:1 closer:4 ωi:4 interacting:17 placed:3 nuclear:1 complementary:1 tend:1 written:25 identification:2 fifties:1 closed:4 membrane:3 progress:3 boundary:31 yamabe:46 emissions:9 perfect:13 ends:5 fgw:2 reproduced:1 superior:9 importance:2 supernova:1 emitted:26 complicate:1 hypothesis:4 key:2 subgroup:2 probing:1 lb:23 configuration:1 problem:13 lc:7 observable:21 interpretations:2 limits:1 qft:1 freely:2 taking:22 xb1:1 equal:27 comment:1 fulfilled:3 etc:25 admit:1 manifestations:1 figures:9 grail:1 θint:2 passing:4 masses:8 otherwise:5 wald:1 detailed:1 ci:110 gtk:3 ucs:1 cn:2 cm:7 conclude:6 wall:1 tori:1 cohomology:9 harmonic:3 cd:6 distinguish:4 m12:3 decreases:9 sequences:1 cs:1 table:23 cp:6 cv:3 cu:3 torsion:2 strand:3 singlets:1 kinematic:1 yau:3 charts:4 abc:1 eriv:2 h33:1 cauchy:13 slowly:2 hawking:8 minimise:1 universal:2 define:19 field:114 determinant:3 aj:1 corresponding:31 finishes:1 hildebrandt:4 am:1 sufficient:2 releasing:1 c8:1 angles:16 bull:2 c3:18 c2:64 c1:25 resultant:2 present:23 c4:1 carter:1 multi:1 splits:1 singly:1 primack:1 value:37 choices:5 will:375 fbca:1 simons:10 almost:7 vi:19 wkb:1 thus:7 instantons:47 surface:313 dc:5 vr:5 vs:2 vt:4 dual:14 umax:4 partner:1 banded:21 qd:12 φt:8 perhaps:1 identities:3 hβα:57 radiation:56 cross:22 palaiseau:2 parts:8 pauli:6 units:19 finite:24 residing:3 practice:1 http:2 absorb:1 logic:1 effect:67 v0:16 v1:25 v2:33 birkhauser:1 pdf:1 infinite:19 identity:9 keep:3 numbered:1 reflection:1 nevertheless:3 restricted:1 well:17 thought:1 s23:5 undercrossing:1 redshifted:1 sets:3 position:3 paradox:1 g1:1 drawing:3 lepton:18 usual:2 spherical:9 chooses:1 excise:1 ketov:1 less:2 moments:2 storage:3 accurate:1 partielles:2 obtain:63 sources:1 stored:6 surpass:1 floer:2 paul:1 glue:2 norbury:1 hamburg:1 rapid:1 preprint:3 density:20 absorption:2 arctg:322 mathematically:1 reasons:3 add:4 book:1 conjugated:1 propositions:2 c13:5 c12:6 adl:1 unprecedented:1 match:1 identical:8 desy:1 overimposed:1 disappearance:5 checking:4 inversion:1 gruyter:2 increases:10 historic:1 five:139 know:17 knot:59 press:7 intersection:13 cp2:4 prominent:1 hoste:4 undung:1 necessary:6 like:65 lost:2 diffeomorphic:4 δs:3 noted:1 δn:1 lose:1 become:9 nucleons:8 isomorphism:2 framed:17 parity:1 indications:1 because:132 qed:3 classical:26 sequence:2 nucleus:4 compactifying:1 phenomena:2 algebraically:10 hair:3 growth:2 choosing:3 proper:10 kinds:2 kdv:2 2qh:1 happens:11 cψ:1 zhou:5 lead:2 breakthroughs:2 does:21 transmitted:1 locate:1 gratitude:3 l0:10 reaching:2 journal:4 l1:13 11h:2 expansion:2 overall:2 clarendon:1 f1:3 bundle:18 although:2 imaginary:23 supermassive:1 stage:1 gained:1 about:13 actual:1 extension:1 getting:1 column:20 universe:233 dependence:5 compatible:2 dependency:1 carries:1 important:21 materializes:1 bounded:10 introduced:3 loops:4 peak:3 subset:5 own:3 dξ3:1 dξ2:4 h2:128 h3:14 h0:105 h1:27 functional:5 h4:1 square:3 sl2:1 xa2:1 additional:2 elastic:1 dm0:1 hyun:1 inasmuch:1 appl:3 quanta:2 inner:20 bd:3 misner:1 naturally:5 function:67 building:2 north:1 brane:2 hv:2 but:115 hu:1 astro:6 neutral:6 construction:10 m02:2 m01:1 convergence:1 a5:3 he:9 count:4 made:13 compute:16 evident:1 daµ:2 whether:5 wish:2 gravitational:51 variations:1 flip:2 record:19 below:2 converted:2 limit:11 annihilating:2 fαν:1 distribution:10 walter:1 display:1 mechanics:1 int:7 recognize:2 geometrical:3 contribute:1 denote:12 twist:5 mtot:1 periods:1 relates:1 families:3 permeability:1 gξξ:1 ew:65 inc:3 diego:1 functions:14 compared:2 variety:2 detail:1 virtual:40 disjoint:8 other:89 details:1 normal:4 relativ:1 theor:2 expel:1 conclusion:18 star:6 waves:24 radially:2 semin:1 variation:4 chance:2 augmentation:1 else:1 hosokawa:2 coupling:4 pointlike:2 bcd:1 cpt:1 catenoidal:218 factors:3 4r:1 rule:2 strings:4 write:20 4h:15 4i:2 lives:5 rep:5