text
stringlengths 0
190k
|
|---|
0704.2452.txt |@word represent:1 code:42 allowed:1 consider:2 llr:39 results:15 existing:6 globecom:1 rˆ:28 generalize:1 computation:1 contributions:1 whose:2 careful:1 depend:1 calculate:1 technique:1 under:24 alberta:2 updated:1 kschischang:1 straightforward:1 very:6 2re:1 choice:10 putting:1 fall:1 exact:2 condition:3 transmission:8 solution:4 solved:1 adjust:1 quick:1 averaged:1 consistent:6 estimates:1 literature:1 past:1 carefully:2 rate:30 cost:1 design:16 concludes:1 growing:1 ode:2 approached:2 even:1 dissertation:1 what:1 sub:1 onclusion:1 section:4 near:1 availability:1 above:3 values:4 ˆl:15 method:6 ˆn:10 coefficient:1 degree:4 respectively:1 here:1 pioneered:1 tracks:1 selective:1 mer:2 standard:2 table:3 appears:2 obtained:2 search:2 rigorously:1 study:2 studied:2 allows:1 reason:1 anastasopoulos:1 suggests:1 throughput:1 usually:1 studies:2 plotted:2 via:2 regardless:1 ˆn2:3 extra:3 apr:1 αopt:14 achievable:13 linearly:1 use:11 additive:6 takes:1 would:2 prove:1 remains:1 give:1 chooses:1 calculation:17 depicted:1 overhead:2 therefore:6 σopt:1 themselves:1 theoretical:1 minor:1 more:2 convolutional:1 turbo:4 optimizing:1 knows:1 definition:1 becomes:1 normalized:8 known:23 cases:4 iii:2 must:3 worst:1 high:1 springer:1 ma:1 setup:1 work:10 reviews:1 obvious:1 following:6 trans:4 example:5 unconditional:1 proof:1 claim:1 compare:1 figure:1 chosen:1 process:1 messages:1 decoders:2 organized:1 pieces:1 states:1 indicates:1 minimum:2 sense:4 verlag:1 information:4 verify:1 length:2 write:1 hou:1 optimal:2 ensemble:2 product:2 fu:1 may:4 max:1 minimized:1 applications:2 designed:6 meaningful:1 efficiently:3 parameterized:1 inform:4 complexity:2 algorithms:1 representation:1 order:2 indeed:1 over:7 expects:1 paper:5 through:4 thesis:1 mentioned:3 existence:1 still:1 ieee:7 its:5 before:1 perfect:4 ln:1 better:1 absence:4 according:2 fig:10 good:3 affected:1 propose:2 practice:1 processes:1 they:1 nov:1 hall:1 nor:1 represents:6 term:1 always:2 university:2 concave:2 theory:4 transmitted:1 each:6 done:3 higher:2 side:2 mean:4 el:1 square:2 significantly:1 chung:1 zurich:1 hard:1 gaussian:5 eb:3 extended:3 ey:3 expect:1 measure:2 our:14 approximated:1 eq:1 shannon:3 canada:1 shown:2 space:1 since:6 increase:1 maximized:4 denoted:1 rec:1 cause:1 shows:5 ece:1 log2:6 linear:32 overheads:1 quite:1 small:1 approaches:3 complicated:4 estimate:3 likelihood:2 yazdani:2 r2:3 omit:1 iterative:7 so:1 conducted:1 erfc:3 hence:3 first:2 ntroduction:1 probability:2 coding:1 number:4 transform:1 channels:18 simplified:1 another:2 message:4 2σn2:5 given:12 asymptotic:1 needed:2 unknown:14 extrinsic:1 burst:1 system:3 their:2 assumption:1 master:1 too:4 show:4 white:1 perfectly:2 bits:5 gives:2 geneva:1 maximization:1 accurately:1 x8:1 somewhat:1 x2:4 x5:4 approximation:13 target:2 showed:1 was:1 require:1 iteration:1 zero:3 were:1 ber:9 powers:1 raman:1 generality:1 viterbi:1 curves:2 seen:1 fading:40 seminar:1 uncorrelated:5 lin:1 able:2 si:29 converges:1 instance:1 ideal:3 objective:1 performance:26 subject:1 channel:65 rician:3 shokrollahi:2 though:1 measures:2 simplify:1 optimized:2 regular:1 significant:4 codeword:1 extremely:3 especially:1 considered:1 performances:1 calculated:3 later:2 graphs:1 exp:4 sum:2 fact:1 quantity:1 rayleigh:17 relation:1 solutions:1 threshold:8 decoding:19 d2:2 find:10 decade:1 ualberta:1 based:7 knowledge:4 parameters:2 should:3 only:3 factor:1 preliminaries:1 achieve:1 do:2 dl:1 handle:1 get:2 db:16 famous:1 nearly:2 closely:1 new:1 dv:2 justified:1 areas:1 evolution:3 outperform:1 arxiv:1 switzerland:1 including:1 fixed:7 approximations:2 approaching:1 set:1 computed:4 exists:3 achieved:1 depends:4 computer:1 result:3 arg:1 close:7 optimum:15 techniques:4 capacity:22 αy:1 review:1 symmetric:2 state:1 various:1 closed:1 between:4 neither:1 approach:7 email:1 available:7 notice:2 terms:1 complementary:1 initially:1 attention:1 focus:1 however:4 2σn:1 eˆl:2 problem:3 improve:1 received:2 improved:3 σn:76 irregular:6 reported:2 many:4 region:1 equal:1 sensitive:3 improves:3 receiver:24 pdf:22 passing:3 estimation:4 expression:1 simulations:1 arbitrarily:1 among:1 relevant:1 exemplary:1 afterwards:1 point:2 simple:1 seems:1 ca:1 iterations:5 cs:1 respect:1 pp:9 pt:4 due:2 been:4 imperfections:2 much:2 interest:2 basic:1 expected:8 ph:1 define:1 graphical:1 corresponding:4 gap:3 observe:4 optimality:1 denote:1 case:10 limits:1 tolerate:1 value:7 will:4 while:3 optimization:3 error:8 procedure:2 almost:6 ˆl2:2 thus:12 iv:2 ii:2 frey:1 conf:1 motivated:1 binary:3 different:13 verified:1 same:1 any:3 complex:3 arguments:1 largest:3 proved:1 gets:1 difficult:1 used:9 see:2 numerical:2 siegel:1 virginia:1 compared:4 uses:2 variance:3 robust:1 gallager:1 task:1 maximizing:10 changes:3 modeled:1 well:1 analysis:7 severe:1 without:3 simulated:1 model:5 justify:1 proposed:5 edmonton:1 obtain:1 identify:1 predicts:1 alternative:1 yet:1 previous:2 interestingly:2 widest:6 density:11 guaranteed:1 eferences:1 improvement:6 masoud:1 wu:1 interested:1 extends:1 lett:1 theorem:4 input:2 guarantees:1 transformation:2 details:1 identical:3 σn2:6 advances:1 possible:1 finding:7 increases:3 ldpc:25 press:2 using:7 bit:5 unique:5 correcting:1 loss:3 follows:2 signal:1 communications:1 arbitrary:1 output:7 soft:2 reduces:1 deviation:2 maximize:1 because:3 often:1 conditional:2 some:7 examples:1 choosing:1 moreover:2 provided:1 vol:9 confirm:1 icc:1 loeliger:1 does:2 select:1 provides:7 noise:15 power:9 forney:1 ratios:2 become:1 feb:4 raptor:1 stage:1 comparison:4 about:2 most:2 dˆ:2 llrs:15 commun:2 reliminaries:1 o:2 simulation:3 recalling:1 range:7 ensure:1 referred:1 other:1 block:2 cambridge:1 parity:4 into:1 within:1 bound:1 negative:2 appropriate:1 2v4:1 milstein:1 memoryless:2 log:5 assumed:1 support:2 there:3 question:2 approximate:2 accordingly:1 low:7 way:1 resulted:1 call:1 oise:1 assumes:2 function:12 form:1 but:5 idea:1 wireless:2 gain:12 decoder:7 convergence:9 highest:3 true:9 considerable:2 observation:1 made:2 compute:1 whether:3 inside:1 maximum:18 limit:3 distribution:8 milcom:1 called:1 detailed:1 thresholds:1 associated:3 computing:2 defined:2 abstract:1 convex:1 meaningless:1 general:3 engineering:1 exist:1 formulation:1 education:1 distributions:5 check:6 defines:1 again:1 functions:3 codes:33 no:18 when:19 cˆ:22 application:2 valid:2 electrical:1 es:1 digital:1 department:1 node:2 maximizes:3 calculating:2 models:2 includes:1 allowing:1 paritycheck:2 urbanke:3 variable:3 t6g:1 independently:1 suffers:1 longer:1 algorithm:2 assume:7 required:3 curve:1 time:1 n0:4 richardson:3 requires:1 |
0704.2454.txt |@word represent:3 monte:2 measurements:2 sci:1 consider:7 priori:1 laci:3 conditional:1 global:1 dynamic:4 results:24 disc:1 chromatin:18 constants:1 adjustment:1 revealed:1 nstep:22 rd:1 biol:10 calculate:1 aug:1 everywhere:1 technique:2 environment:1 mediated:2 av:1 present:2 th:1 tf:12 stochastic:3 division:1 supported:1 statically:1 straightforward:2 yeast:1 very:9 choice:2 sons:1 jack:3 cellular:2 application:2 experimentally:1 difference:2 encounter:1 common:1 tri:1 level:4 did:2 remodeling:1 t4:3 michael:1 solution:16 occurs:2 juxtaposition:1 affect:1 ml:1 small:1 enhance:1 speculation:3 xand:1 concluded:3 upper:2 smaller:5 force:1 d3:1 fusion:1 approximation:1 surrounding:1 likely:1 further:1 dynamics:4 tweezers:1 carlo:2 targets:3 theory:3 even:4 will:9 kinetic:3 developed:1 rate:8 sun:1 diffusing:6 interactions:4 while:6 shares:1 agrees:4 cell:6 above:9 leib:1 new:7 increasing:2 jumps:3 contrast:7 3d:22 2kt:1 iran:1 degree:2 exchange:2 respectively:3 genes:3 spacing:2 here:9 water:1 them:1 others:1 represented:2 ratio:3 along:28 observing:1 change:1 suggest:3 obtained:5 buck:2 search:11 institute:2 study:5 studied:6 completely:1 leaving:5 suggests:1 amount:3 chemical:1 resulting:1 chemistry:1 symmetrical:1 gene:6 studies:5 involves:1 plotted:2 via:3 cohn:1 pla:2 mobility:1 suddenly:1 distributed:7 explained:2 compare:1 scaled:1 flexibility:1 feller:1 movement:1 ringrose:1 involvement:1 total:6 unit:2 inc:1 plot:1 dna:82 takes:1 would:7 physics:1 probabilities:1 destination:2 examined:1 only:4 comparing:2 noting:2 estimated:2 therefore:3 assistance:1 associated:1 type:3 until:1 marginally:1 more:28 diamond:5 populations:2 successful:1 localization:1 site:70 alberta:1 appendix:6 transiently:1 adult:2 particular:4 known:3 central:1 cases:3 effort:1 must:4 md:3 none:1 ma:1 mc:1 destabilization:1 h10:1 science:1 dimeric:1 rb:1 remain:1 itself:2 values:2 ms:2 lever:1 strategies:3 specifies:1 root:1 example:1 control:1 stranded:2 figure:30 chosen:6 calculation:1 sokolov:2 now:2 high:6 indicates:1 his:1 pulling:1 performed:3 blue:5 triangle:3 information:1 end:2 varied:1 locates:1 rather:1 travel:1 get:1 csa:1 aℓ:1 strikingly:1 located:2 criterion:1 animal:2 significance:1 pathway:11 translocation:2 circular:2 simplicity:1 staying:1 may:7 after:35 space:2 santos:1 jump:12 lac:4 consequence:1 jumping:18 designed:1 processivity:7 monitoring:1 data:2 types:1 recovery:2 gaussian:1 short:4 attempt:1 third:2 enzymes:2 bind:3 schneider:1 acknowledged:1 interrupted:1 nsim:3 perform:1 so:5 fundamental:3 enter:2 representation:1 subsequently:1 order:8 se:3 typical:1 restriction:6 oncology:1 eigen:1 pant:5 kampen:1 indeed:2 over:2 move:9 diminishing:1 facilitated:4 years:1 course:2 paper:3 through:8 coli:1 argued:1 fidelity:1 still:3 avenue:1 its:12 before:2 phair:4 rapidly:1 probability:44 la:16 energies:1 trying:1 decreases:4 motifs:1 better:1 vast:2 inspecting:1 mail:1 instantly:1 non:12 good:6 pure:3 combination:1 fragment:1 innermost:1 runs:2 vitro:4 equidistant:1 reaches:1 they:18 oxford:2 traveled:1 association:6 heaviside:1 represents:8 gets:1 hop:1 organ:1 designation:1 adjacent:1 university:2 proteins:25 ensemble:1 2d:7 realistic:3 magnitude:1 wenz:1 mode:1 reasonable:1 each:13 found:10 vahid:1 referred:2 reactions:1 domain:1 square:4 primarily:1 series:1 eg:1 displacement:1 related:1 used:1 expect:1 entering:2 combining:1 loops:1 our:9 happen:2 dissociating:1 event:1 special:1 out:2 canada:1 living:4 shown:9 rebinding:1 factors:6 furthermore:2 crucial:1 research:1 increase:1 re:11 investigation:1 presents:1 performs:1 reader:1 romain:1 formula:1 newly:1 supports:1 sliding:8 red:5 shows:4 foundation:1 perception:1 linear:7 associate:5 favored:1 mechanisms:2 given:6 free:6 quite:1 jph:1 nth:3 reason:1 complicated:1 york:1 biological:2 regulatory:2 intermediate:1 acb:1 venus:1 shortest:1 xie:1 enormous:1 interaction:5 geometry:1 starts:1 times:8 motion:7 path:1 length:4 edges:3 assumed:2 hence:1 uses:1 slutsky:1 aδ:4 frequent:1 stewart:1 major:1 there:3 xn:8 surviving:1 rms:1 number:14 walkers:29 comprised:1 arrhenius:1 done:1 fast:5 another:7 h1:4 xs:1 size:2 little:1 long:3 temperature:1 similarly:2 introduction:2 unknown:1 sf:1 amsterdam:1 system:4 approximately:4 realistically:1 zanjan:1 their:17 regulation:4 assumption:4 rates:5 1d:28 percentage:1 scheme:1 final:15 recovered:1 too:1 fraction:1 relationship:2 trapped:3 highest:2 immediate:2 required:2 slides:1 marko:1 optical:1 favorable:1 x2:12 copy:1 representing:5 than:19 tfs:10 modes:2 diffusion:28 distance:4 john:1 target:36 showed:4 bannister:1 travels:1 require:1 namely:1 ranging:2 binds:2 determined:1 williams:3 were:1 sec:4 gives:1 distinguished:1 behaviors:1 fashion:1 locations:2 generalization:2 randomly:10 say:2 ℓn:3 manner:2 close:2 seen:5 concentration:4 any:2 photobleaching:1 nucleosome:2 strength:1 octamer:1 zero:5 min:1 efficient:2 transcription:34 latter:1 able:1 mechanism:15 note:3 majority:1 potential:8 k4:1 finding:2 green:3 subject:1 formulas:1 shallow:1 unless:1 investigations:4 who:3 molecule:25 systems:1 wells:2 depths:5 most:1 boltzmann:1 eight:1 amongst:1 sfi:1 contrasts:1 measured:5 escherichia:1 moreau:1 approximates:1 doi:1 wiley:1 considered:7 clear:6 later:3 berg:3 dimension:1 exp:1 kt:2 left:3 organism:1 specification:3 fact:2 precise:1 walking:12 drastically:1 show:4 chances:2 agreed:1 random:32 hopper:13 dissociate:3 winter:1 relation:2 keywords:1 uniform:3 salt:1 find:15 d1:1 ualberta:1 µm:1 slow:2 based:1 proposed:1 hops:1 folded:1 state:3 should:2 being:1 enzyme:3 black:3 helix:1 molecules:39 factor:30 employed:1 circle:9 population:3 interested:1 achieve:1 equilibrium:16 do:2 mixture:4 dominant:2 goes:1 stay:2 histone:6 dependent:1 simplest:1 overall:1 expectation:3 preferred:1 simplistic:1 cannot:1 longest:1 dx:10 combinations:1 during:4 dt:1 written:3 holland:1 processes:3 substrate:1 metabolism:1 consisting:1 looping:2 approach:1 arxiv:1 method:2 schematically:1 filled:1 double:1 fixed:2 qm:1 locating:1 scanning:4 achieved:3 spheroidal:1 observed:4 mentioned:2 depends:3 individual:2 radius:3 result:15 mj:2 terms:1 limiting:1 optimum:3 bacteriophage:1 responses:1 closer:2 vologodskii:1 probable:1 hippel:3 matter:3 diffusional:1 review:2 currently:1 sites:91 coordination:1 symmetric:2 enough:2 eur:1 between:10 exploration:1 encounters:1 rosa:1 wide:1 available:3 ends:1 recently:1 ability:1 gfp:1 nature:4 genet:1 xvi:1 however:13 continuously:1 woodroofe:1 consists:1 distinguish:1 group:2 jf:1 problem:3 topology:1 suggested:2 both:6 toward:1 folding:1 brown:1 gratefully:1 freely:4 taking:2 equal:8 nserc:1 etc:1 berry:1 expression:4 finds:1 experimental:13 otherwise:3 among:3 relevant:2 co:1 cancer:1 point:1 simple:2 effective:2 ca:1 address:1 corresponds:2 walk:15 dimensional:5 directions:2 grants:1 coordinates:2 modeling:23 transcriptional:1 li:1 considering:4 pw:4 second:2 addition:1 due:2 been:8 strategy:1 much:1 far:1 basic:1 expected:10 ph:4 hock:1 po:1 fig:16 annu:1 direction:11 aj:1 corresponding:3 deeper:1 reaction:2 releasing:1 bulk:2 understand:1 curves:1 former:1 those:7 case:21 p0:9 macromolecules:2 leave:5 chap:1 value:3 specifically:2 aim:1 near:2 diverse:1 viii:1 behavior:2 residence:8 property:1 richter:1 leaves:1 procedure:2 polymer:1 vol:1 1z2:1 simulations:6 binding:64 surprisingly:1 ii:1 middle:8 tissue:4 im:1 protein:35 interacts:1 affinities:1 greater:3 different:26 verified:1 fibers:1 lengths:1 large:1 make:1 cross:1 same:6 orders:1 shorter:7 observations:2 mixtures:2 catalysis:2 several:14 events:5 higher:2 development:4 fairly:1 outside:1 extended:1 see:9 pha:2 numerical:3 upon:2 riggs:1 driven:1 moment:3 levels:1 moving:2 deff:1 potentials:1 von:3 recent:3 relies:3 natl:1 tracking:1 whereby:2 hopping:11 minimize:1 well:3 spent:1 analysis:1 obviously:1 directly:1 without:5 repressor:5 coordinate:1 quantitative:1 model:5 paradigm:1 essential:1 spend:5 figs:8 consisted:1 distances:1 diffusions:2 voituriez:1 just:2 less:9 moments:1 generally:1 edmonton:1 labeled:1 reviewed:1 macromolecular:1 distant:2 human:1 immediately:1 alternative:1 yet:1 tables:1 rapid:5 monitored:1 dissociation:3 sciences:1 scenario:1 characterization:1 elf:7 except:3 lattice:24 bℓn:1 diffusivity:1 affinity:19 attractive:1 theorem:2 reach:8 extensive:1 match:2 associations:1 bio:1 around:1 embo:3 measurement:1 contacts:1 period:1 early:1 possibly:1 increases:2 preference:3 background:1 mol:5 clustered:14 using:10 bit:1 membrane:1 advanced:1 apart:1 desire:1 bδ:4 necessary:1 shaped:1 interestingly:10 stahl:1 probing:1 specific:14 een:1 steps:42 either:1 arbitrary:1 inter:2 discussion:1 accessible:1 copies:1 because:1 sequence:6 sequences:6 some:4 searching:2 experiments:2 calculated:3 acad:1 statistic:1 bigger:1 recognition:2 happens:1 dissociated:4 scale:1 ess:1 µm2:5 purple:1 demonstrates:3 avoid:1 though:4 thank:1 active:1 does:2 dissociates:4 assuming:1 moderate:1 proc:1 acids:1 demonstrated:1 freed:1 locate:9 process:2 run:3 elucidate:1 equivalent:2 agreement:3 bj:2 how:3 step:12 bp:6 although:1 losing:1 fluorescent:1 refers:5 earlier:3 analysing:1 comparison:3 about:7 actual:1 carried:1 og:3 location:10 o:1 simulation:8 range:5 neighbor:2 mixed:11 mean:4 lieb:1 mathematical:1 equally:1 rev:1 publishing:1 press:1 h3:1 within:3 bound:6 three:7 biophys:6 appropriate:1 right:3 references:2 determine:2 strip:12 operator:2 proportional:2 theoretically:1 clustering:1 rely:1 van:3 legends:1 few:1 transfer:2 support:1 initial:10 question:2 amidst:2 low:8 way:2 forward:1 analyze:1 was:4 energy:4 function:8 networks:1 medium:1 north:1 form:2 differences:1 jun:1 but:2 back:1 hj:1 pj:4 repeated:1 delta:1 convergence:2 line:9 ha:38 pwj:4 longer:1 unsuccessful:1 nucleic:1 made:2 stanford:2 whether:6 cells:4 up:1 vivo:6 theoretical:6 placed:3 limit:3 spectroscopy:2 approaches:2 demonstrate:1 distribution:71 stages:1 similar:5 called:2 aa:1 metzler:1 ab:1 constant:6 ad:1 af:1 minutes:1 abstract:1 escape:1 accessibility:1 deep:1 general:4 dirac:1 single:18 associates:5 together:1 walks:3 controlled:6 moves:3 distributions:3 spends:2 physical:1 again:1 functions:1 compared:3 no:5 biochemistry:2 edwards:1 when:10 ng:2 acknowledgments:1 other:3 role:1 genome:4 nat:1 np:1 scan:1 jd:1 star:2 nonspecific:1 calculating:1 separate:3 models:1 mechanical:1 asterisk:5 chem:7 cleaved:1 chance:4 bounded:1 pathways:4 terry:3 t6g:1 pool:6 implies:1 faster:5 assume:8 starting:1 interval:4 kinetics:3 xbp:1 rule:1 equivalently:1 depth:2 transient:1 time:39 walker:25 n1:1 n2:1 backward:1 requires:2 having:1 normalized:2 |
0704.2455.txt |@word limited:1 monte:2 code:1 jason:1 overplotted:1 refereed:1 represent:4 graham:3 lack:6 edn:1 abundances:1 four:4 eccentricity:2 quadrature:4 debris:2 parent:1 teukolsky:1 edu:1 wei:1 subgiants:24 disk:3 3m:2 relationships:1 rd:1 flannery:1 calculate:2 albrecht:1 technique:1 young:3 tp:1 containing:1 intensive:1 program:1 fischer:16 those:3 excluded:1 stable:5 must:1 keane:1 parallax:4 brown:3 keck:13 luminosities:4 neuh:2 esa:3 evolves:1 very:1 kokubo:1 fap:4 penny:1 none:3 g9:1 g8:3 crosses:1 under:2 fall:1 korzennik:2 difference:1 continued:1 enard:1 securely:1 cool:1 kea:1 leads:2 spie:1 induced:1 scholar:1 presented:2 golimowski:1 list:6 solution:18 fewer:1 large:6 spaced:1 coude:1 phase:1 interpolating:2 small:7 possibilities:1 shows:13 inspection:1 der:2 inconsistent:1 smaller:2 slower:1 occurrence:4 periodicity:1 thin:1 trend:5 consistent:6 periastron:1 estimates:4 direct:2 tef:1 empirical:1 charbonnel:1 rate:2 cost:1 timescales:1 scarcity:1 follow:1 further:3 estimated:4 carlo:2 targets:3 bootstrap:1 spectral:13 what:2 errors:2 l153:1 sun:1 sum:1 axes:3 near:7 cell:2 mv:9 murata:1 above:4 fractional:1 vetterling:1 new:3 commensurate:1 method:7 contrast:1 mp:4 nisenson:1 synthetic:4 full:5 measurements:12 extrasolar:2 obviating:1 respectively:2 henry:3 jointly:1 diagonal:1 highly:2 desired:1 magnetism:1 test:6 focused:1 free:4 separation:3 excess:3 ads:1 a8v:1 along:6 strong:3 respect:1 appears:1 obtained:9 search:4 frink:2 institute:1 shift:1 study:2 larger:3 host:16 ast:1 guide:2 vogt:10 preferentially:2 base:2 survey:2 masuda:2 karin:1 mcarthur:1 domains:1 formation:6 narrow:2 ikoma:1 plotted:1 prints:1 flash:2 retired:3 scales:2 apr:1 lending:1 photometric:1 tinker:1 groenewegen:1 julia:1 vrot:5 apj:19 visible:2 gillett:1 guests:1 chunks:1 bertelli:1 terrile:2 hines:1 linearly:2 clampin:3 use:4 eye:3 takes:1 would:7 remains:2 until:1 f7:1 examined:1 france:1 comparing:1 sample:4 eds:1 instrumentation:1 therefore:6 criteria:1 butler:15 type:25 theoretical:7 more:1 entrance:1 sharing:1 initiated:1 ollinger:3 apparent:4 emission:1 keplerian:12 conspire:1 instrumental:1 tested:1 visual:2 apjs:3 esposito:1 known:4 ward:1 iii:4 adequate:1 had:1 dex:2 md:1 dwarf:4 rotational:5 lifetime:1 dedication:1 indicates:1 science:2 originally:1 averaged:1 cat:4 reproduce:1 vega:1 values:2 temperatures:1 evolved:14 a5v:1 following:3 making:1 scatter:6 deg:1 hip:3 compare:1 iodine:4 figure:16 silverstone:1 process:1 expanding:5 inaccessible:1 updated:1 high:6 collision:1 slit:1 minimum:5 magnitudes:5 exclude:2 spanning:1 robishaw:1 robinson:1 cites:1 axis:10 terrestrial:1 information:1 monitoring:2 rather:4 verify:1 discussion:1 idl:1 far:1 hot:6 sacred:1 l157:1 instead:2 absolute:11 parameter:5 sin:9 cottrell:1 sato:5 sabine:1 ssv:1 may:5 perrin:3 earlier:1 derived:6 orbits:5 diagram:5 catalog:10 produce:1 fe:12 mag:3 spectrometer:5 summarize:1 revealed:1 response:1 types:3 efficiently:1 paulson:2 nobs:1 short:6 wada:1 udry:4 johnson:9 interpolated:3 light:1 schneider:2 spectra:1 lines:5 marigo:1 provide:3 so:1 decreasing:1 subsequently:1 ida:3 guenther:3 order:4 typical:1 quirrenbach:3 evolutionary:1 subsections:1 corporation:1 cutoff:1 latex:1 indeed:2 over:3 summarized:1 vary:2 facilitated:1 years:1 produced:2 held:1 vizier:1 including:1 wolf:1 destruction:1 still:1 krist:1 its:18 burleigh:1 before:4 david:1 outer:1 probability:7 fit:24 how:1 tracks:2 highlights:1 masses:11 presence:1 circumstellar:1 destroyed:4 detected:3 according:1 lewis:1 dwarfs:8 mail:1 main:19 easier:1 stability:1 non:2 within:5 greater:2 dosanjh:1 obtaining:1 material:1 fig:9 investigated:2 primary:3 tucker:1 hamilton:1 effects:3 they:4 bressan:1 committees:1 rotation:1 now:3 day:9 represents:1 netherlands:1 university:9 routines:1 asher:1 uhe:2 magnitude:9 arrow:1 radial:16 found:3 spectroscopically:1 interpolation:10 mean:5 heavy:1 bright:1 weighted:1 significantly:2 independent:1 series:9 silva:2 deficiency:2 molecular:1 astrophysical:1 yoshida:2 expect:1 ancestry:1 measurement:11 our:27 approximated:1 beyond:3 shannon:1 out:2 stover:1 shown:3 funding:1 watanabe:1 quality:2 since:4 interference:1 projected:2 research:3 galland:4 modulation:1 maxted:2 ra:1 assignment:1 sme:1 squares:2 plotting:1 red:6 levenberg:1 torres:3 illustrating:1 doppler:25 linear:4 state:1 mechanisms:1 given:8 possibility:3 standard:3 paucity:1 engulfment:6 dependencies:1 california:6 imaging:3 ramos:1 smirnov:1 org:1 estimate:7 hekker:3 telescopes:1 l131:1 log:4 reflect:1 extend:2 shk:1 marshall:1 determining:1 could:2 nascimento:2 published:1 days:1 times:4 l57:1 explored:1 simulations:1 massive:3 lte:3 assumed:1 consequence:1 napiwotzki:1 facilitate:1 exhibited:1 caii:2 first:6 feed:1 placing:1 features:2 zah:1 pyrex:1 omitted:1 number:7 aas:1 grady:1 adopted:1 l31:1 neighborhood:3 thick:2 open:1 horizontal:1 illustrate:1 little:1 perturbation:1 temperature:3 strasbourg:1 their:32 introduction:1 data:3 top:1 system:1 least:2 sargent:1 indicate:2 intermediate:17 observations:17 white:2 john:1 ranging:5 williams:2 listed:10 discovered:1 season:1 explanation:3 imprinted:1 lists:3 semiamplitude:3 astrophysics:1 assumption:3 because:2 gyr:7 somewhat:1 authors:1 off:1 progenitors:1 institution:1 modes:1 begins:2 observed:7 noguchi:1 observatory:13 hatzes:10 showed:2 require:1 database:2 likely:4 probe:1 determined:1 yang:2 amplitude:1 were:7 setiawan:5 pasp:4 interacts:1 schuler:2 pulsation:3 sills:1 result:3 pre:1 normal:1 lick:13 false:6 san:2 separations:1 ages:5 spectrum:8 discussions:1 headings:1 bigelow:1 seen:2 null:1 apparently:1 any:1 relatively:2 lie:1 traditionally:1 realm:1 zero:2 studying:1 separate:1 responsible:1 able:1 gravity:1 telescope:3 majority:1 k1:4 internal:12 2006a:3 ebre:1 2006b:3 finding:1 techniques:1 laverny:1 residuals:3 circles:1 even:2 play:1 added:5 hires:2 horn:1 though:1 track:1 who:1 peek:1 removing:1 prohibitive:1 falls:1 most:3 rhk:4 germany:1 artifact:1 preliminary:1 identical:1 seasons:1 hashed:1 histogram:1 intrinsic:1 class:5 conspicuous:1 redder:1 volume:1 deviations:1 acknowledges:1 valenti:8 observation:5 wish:1 average:1 broadened:1 metal:3 inferred:2 km:5 traditional:2 chromospherically:3 scrambled:7 substellar:3 presense:1 velocity:20 physics:1 came:1 precise:1 planetary:7 atmosphere:3 selection:2 deviation:2 survived:1 show:6 laughlin:2 blueward:1 random:3 scattered:1 osborne:1 infrared:1 rotating:2 radii:9 noyes:1 solutions:2 cds:1 king:1 earth:1 epps:1 find:12 decade:1 make:1 f5v:2 yanagisawa:1 giant:11 based:11 parameters:10 macros:1 window:1 dynamical:1 histories:1 than:14 analytic:1 only:7 candidates:2 surveyed:1 rich:1 factor:1 herein:1 employed:1 constant:3 padova:1 recipes:1 achieve:1 hertzsprung:3 giants:15 do:3 fomalhaut:1 his:1 ardila:1 template:10 wide:1 diamonds:2 dc:2 da:2 allen:1 abundance:1 cannot:1 residing:1 aumann:2 report:1 during:5 nearly:1 target:3 gray:4 evolution:5 vertical:1 luminosity:3 g8v:1 arxiv:2 median:1 yield:2 summary:1 rotationally:1 investigate:1 inactive:2 filled:1 allocations:1 activity:1 analytical:1 cycles:1 explanations:1 staff:1 reveals:3 bars:4 set:6 art:1 landessternwarte:1 supporting:1 okada:2 detectability:1 kolmogorov:1 detection:5 sandstrom:1 see:3 individual:2 radius:13 migration:3 patel:1 operated:3 close:9 expertise:1 best:17 subject:1 augereau:1 project:1 phases:6 detect:1 onto:7 record:1 ostensibly:1 away:1 currently:1 equal:1 extra:1 mayor:3 favor:1 outside:3 future:1 hipparcos:4 phased:2 between:6 orbiting:14 pasquini:2 passage:1 discovery:3 variability:3 various:1 august:1 relative:2 nature:2 initially:1 medeiros:2 however:4 interpolate:1 spectroscopic:4 jovian:3 york:1 hypothesis:2 here:2 key:3 limitation:1 analyzed:2 portion:1 come:1 endl:3 thank:1 observable:1 dates:1 beuzit:2 prescription:1 generator:1 gratefully:1 gwm:1 many:3 region:2 uncertainty:6 quiet:1 against:1 display:1 tau:2 sensitive:2 l147:1 generous:2 fukagawa:1 periodogram:4 temporal:1 baltimore:1 nearby:1 reside:1 unclear:1 jitter:19 conclude:3 color:9 effective:2 ca:3 berkeley:2 period:10 environments:1 sampling:1 dimensional:1 jd:6 ii:1 simply:3 burkert:2 lagrange:2 uco:1 table:24 improvement:1 consider:1 gratitude:1 broadening:2 described:5 howard:1 observing:6 rasio:1 three:14 been:11 herv:1 geoffrey:1 marquardt:1 much:3 complicated:1 pd:1 dobbie:1 kalas:5 ph:2 outliers:1 crawford:2 po:1 systems:2 box:1 colors:4 myr:1 corresponding:3 itoh:1 2nd:1 coherence:1 precision:7 mugrauer:1 gap:6 observers:1 observe:1 lovis:2 mauna:1 astron:1 v5:1 surveys:6 former:3 present:4 carter:2 k2:1 schmidt:1 uncertain:2 maehara:1 l23:1 variances:1 fitzgerald:2 gem:1 single:1 value:5 will:2 while:3 viii:1 error:4 fainter:1 property:1 mitchell:6 discoveries:1 procedure:2 unlikely:1 real:1 studied:1 g5:2 coupled:1 characteristics:1 von:2 chromospheric:1 thus:2 daf:1 surface:5 iv:7 helped:1 bias:2 noao:1 accounting:3 illustrates:1 pronounced:1 technology:1 k0:2 increased:3 orbital:30 koerner:1 different:7 constrained:1 pollux:1 grant:3 perform:3 solely:1 began:2 pepe:2 cross:1 same:4 shorter:1 shifts:2 periodic:2 widely:1 tinney:2 resulting:4 helium:2 several:2 privileged:1 ascend:2 higher:4 status:2 evolve:1 used:4 http:2 a2v:2 cubic:2 eccentric:1 numerical:1 assessment:1 effect:1 counterparts:1 companion:5 driven:1 craine:2 levels:2 uses:1 architectures:1 kim:1 hospitality:1 dust:1 robust:1 pinte:1 expand:1 recent:2 lower:15 suitable:1 scargle:1 reflection:2 older:1 acknowledge:1 well:4 increases:2 analysis:9 kambe:2 de:4 without:5 comes:1 trials:8 indicative:1 model:12 otherwise:1 depict:1 left:2 distances:2 jupiters:3 bottom:1 excessive:1 less:1 semimajor:13 when:1 accurate:1 cep:1 keeping:1 isaacson:2 sources:2 shape:1 intervals:2 thanks:2 campbell:1 pols:2 paul:1 yet:2 salasnich:1 begin:1 adding:1 mjup:6 gravities:1 preprint:2 clump:6 candidate:1 sciences:1 absorption:1 auser:2 measure:1 smith:2 ideal:1 weiss:1 discuss:1 wright:16 rgb:2 other:3 transformed:1 location:1 jong:1 appreciate:1 heidelberg:1 primarily:1 tests:1 livio:2 around:39 depends:1 easily:1 advances:1 showing:1 online:1 possible:5 yoichi:1 cf:1 early:5 interior:5 cruz:2 grid:3 marcy:14 unseen:1 press:3 using:18 unique:1 formal:1 atmospheres:2 rotate:1 pfister:1 like:1 mountain:1 cooler:1 alternatively:1 signal:8 velocities:16 extremely:1 temporally:1 michael:1 detections:3 yields:7 sparse:1 become:2 conrad:1 reduced:3 therein:1 poor:2 disks:5 methods:3 grids:7 sequence:19 rms:10 toyota:1 herbig:1 some:1 searching:1 nagar:2 jr:1 hartmann:1 couture:1 elements:1 jupiter:3 observatories:3 images:1 peter:2 duchˆene:1 mccarthy:4 exists:1 happens:1 provided:1 scale:1 dense:1 l19:1 illustrated:1 confirm:1 function:2 broad:1 avoid:1 companions:6 saar:4 debra:1 useful:1 depletion:1 cne:5 connecting:1 provides:2 assuming:2 simbad:1 proc:1 measuring:1 core:1 noise:3 scientific:1 minimization:1 slight:1 whose:1 each:19 aj:1 ando:2 expansion:1 stellar:52 cochran:3 onigstuhl:1 neugebauer:1 santa:2 offset:1 post:2 prepared:1 subtract:1 properties:17 after:2 panel:1 hr:1 comparison:1 about:4 rare:1 schrijver:2 hopkins:1 poorly:1 discussed:1 dependence:1 o:3 range:2 plus:1 efforts:1 slightly:1 peak:3 queloz:2 subset:2 takeda:5 cambridge:2 metallicities:2 delaney:1 formerly:1 inclusion:2 previously:1 into:3 johns:1 washington:2 nsf:1 due:10 down:1 rendering:2 right:1 references:4 paper:1 determine:1 steven:1 engulf:1 spline:2 teff:1 uncertainties:16 proxies:1 span:1 additional:3 pc:5 measured:11 support:1 there:2 apps:1 approximate:2 long:3 does:2 restricts:1 detectable:3 henning:1 low:4 stars:92 ed:1 resulted:2 slowly:2 analyze:1 was:4 synthesis:2 lowest:1 jones:2 izumiura:2 gaseous:1 hawaiian:1 enough:2 shane:3 leiden:3 becoming:1 differences:2 but:6 back:2 astro:3 aperture:1 repeated:1 doi:1 rodmann:2 solar:5 mnras:1 line:8 true:2 hd:50 auxiliary:1 attribute:1 made:3 places:2 whether:2 subgiant:8 ford:2 variations:4 up:1 ccps:1 planet:33 placed:1 below:2 limit:2 uk:1 houck:1 distribution:14 panels:2 similar:2 alarm:5 distance:8 adopt:2 ae:1 computing:1 defined:2 inadequate:1 abstract:1 pic:1 influence:1 6b:1 naef:1 evidence:2 examine:1 au:23 periods:2 planets:53 wavelength:1 journal:1 controlled:1 plan:1 work:2 distributions:3 eric:1 metallicity:9 compared:8 no:4 dashed:6 tip:1 detail:1 tim:1 points:3 role:1 special:2 branch:9 department:4 shimizu:1 nw:1 optically:2 francisco:3 star:34 girardi:11 models:8 sided:1 wesselius:1 rv:5 carnegie:1 chelli:1 generated:2 important:2 validity:2 reffert:3 included:2 reanalyzed:1 beichman:1 astronomy:3 structure:1 exposure:1 searches:3 correlated:3 exoplanets:4 algorithm:1 assume:1 typically:3 age:7 wahhaj:2 pseudo:1 orbit:8 chiosi:1 siess:2 nasa:4 mass:58 dot:1 time:16 walker:3 buoy:1 resolution:4 original:6 augmented:1 |
0704.2457.txt |@word consider:5 interference:22 eichten:2 results:1 illustrated:1 grateful:1 edu:1 issues:1 whose:1 depend:2 calculate:1 graph:1 b196:1 supported:1 under:1 dramatically:1 case:1 lack:1 amplitudes:4 very:5 rise:2 focus:2 telling:1 emphasized:1 cheung:1 large:4 vector:6 dealt:1 small:7 lisa:1 dip:1 smaller:2 force:1 sin2:2 zero:10 unparticle:30 qualitatively:1 theories:1 odd:2 goes:1 even:3 what:4 section:11 near:1 axial:1 above:2 fractional:6 new:2 acknowledgments:1 notions:1 exchange:8 here:1 lep:1 explore:1 cos2:1 along:2 quark:1 change:10 dominantly:1 allows:1 couplings:6 suggests:1 chang:1 changes:1 emerge:1 scales:1 total:11 propagators:1 use:1 working:2 positive:2 contains:1 negative:2 few:2 nucl:1 noting:1 call:1 therefore:2 m2:1 more:3 operators:3 particular:2 me:1 ma:1 decouples:1 work:2 cau:20 worth:1 mu:3 values:5 following:2 example:4 mz:1 figure:14 give:1 process:2 high:2 dxj:1 sense:1 end:1 rather:1 write:1 how:2 nontrivial:4 place:1 sin:9 product:1 substructure:1 singular:2 may:2 produce:3 destructive:2 stress:1 remember:1 effective:3 grant:1 explicit:1 element:2 so:3 fundamental:1 banks:3 looking:1 make:2 schwartz:1 over:1 paper:3 through:1 looks:2 cuts:1 argued:1 still:1 before:1 lepton:3 decay:5 interesting:4 masses:1 production:3 renormalizable:2 imz:3 might:2 versus:8 non:12 good:1 peskin:2 scaling:2 warranted:1 effects:6 front:5 now:3 term:5 university:1 entirely:1 2i:1 reproducing:1 square:2 ei:1 energy:7 expect:4 multiparticle:1 laboratory:1 really:1 shown:3 superscripts:1 matrix:2 crucial:1 research:1 particles:2 re:4 reader:1 issue:2 plotting:1 shows:1 foundation:1 theory:5 interactions:6 discontinuity:2 little:2 standard:9 reason:1 complicated:2 randall:1 spencer:1 interaction:1 hamed:1 keep:1 thing:2 length:8 prejudice:1 onto:2 first:2 blind:1 simplifies:1 peculiar:3 striking:1 georgi:3 xy:1 another:1 illustrate:2 given:2 publication:1 introduction:1 leading:3 interact:1 assumption:1 fermions:1 ordered:1 structures:1 gives:2 transverse:2 part:6 tacitly:1 believe:1 convinced:1 than:3 coefficients:3 distance:1 kind:1 was:1 see:1 future:1 amplitude:9 powers:1 addressing:1 dash:8 seen:1 angle:1 convenient:1 speculative:1 interferes:1 note:6 jefferson:1 finding:1 begin:1 though:1 track:1 denominator:2 involving:1 propagate:1 phase:3 considered:1 order:5 graphs:1 physics:4 laws:1 sector:1 particularly:1 show:1 probe:1 purely:1 iǫ:4 gauge:1 d4:1 trivial:2 find:3 q2:2 just:1 should:1 only:2 going:1 hope:2 do:1 dm:1 dominant:1 gev:8 notation:1 du:55 ds:1 processes:2 fields:10 arxiv:2 fixed:1 set:1 our:2 national:1 depends:1 result:4 discussions:1 close:2 phases:4 tensor:1 pattern:1 away:2 nature:1 boundaries:1 written:1 various:1 between:7 invariant:4 across:2 muk:4 terms:2 vertical:1 missing:1 interfere:1 cut:4 key:1 suppressed:1 concentrated:1 both:3 cos:3 accident:1 σb:2 taking:1 asymmetry:5 sensitive:1 connection:1 harvard:2 figures:2 nima:1 contribution:1 argue:1 detailed:2 point:1 dimensional:2 pole:12 simply:1 cs:1 table:1 cv:16 considering:1 unusual:2 reexamine:1 howard:1 expected:1 ph:3 define:1 direction:1 contribute:3 quantities:1 leptonic:1 photon:2 arkani:1 understand:2 p2:4 eip:1 novel:1 look:2 value:2 will:6 while:1 match:2 reliably:1 many:1 situation:2 region:3 studied:1 mz1:2 mz2:3 ir:1 thus:1 them:1 σf:2 itself:1 return:2 ignoring:1 different:5 april:1 things:1 γz:3 cross:12 same:3 matthew:1 parts:2 arguments:1 dimensionless:1 nonrenormalizable:2 independent:1 used:2 peaks:1 effect:6 invariance:1 yuan:1 off:1 center:3 analysis:2 patterns:2 without:1 sets:1 model:9 dimension:1 usual:1 λu:3 being:1 vanishes:1 questions:1 λk:4 flavor:1 previous:1 adu:7 thinking:2 decayed:1 signals:1 lett:1 versa:1 momentum:1 real:5 tests:1 rev:1 couple:1 increases:8 integer:3 unique:1 necessary:1 like:7 particle:1 continue:1 because:9 some:5 play:1 confusing:2 scale:10 comments:1 does:3 masked:1 assuming:1 propagating:1 transmutation:1 power:1 rescale:1 agreement:1 constructive:3 imaginary:5 properties:2 bz:3 science:1 comparison:1 about:4 zaks:3 o:1 misleading:1 sensitively:1 cambridge:1 presence:1 predictions:1 down:2 hermitian:1 references:1 operator:1 proportional:2 hep:3 assumed:1 there:3 long:1 width:1 detectable:1 low:2 way:3 sections:1 propagator:10 lowest:2 form:1 simplifications:1 keung:1 but:3 back:5 larger:1 trying:1 coupling:3 compute:1 intuitive:1 instructive:1 us:5 below:8 similar:1 aa:4 associated:3 ad:1 abstract:1 describe:2 am:1 general:1 single:2 arises:1 av:4 distributions:1 check:1 physical:4 2du:2 compared:2 detail:1 virtual:3 field:2 role:1 mathematics:1 massless:1 picture:1 important:2 included:1 structure:2 ago:1 lane:2 unparticles:10 vice:1 assume:2 mass:4 time:4 far:1 having:2 |
0704.2458.txt |@word kinderlehrer:2 nualart:1 extends:4 ginzburg:1 entropy:23 consists:1 whose:9 paris:2 γo:6 γn:52 under:18 xtn:3 xtm:12 compacts:3 every:7 convexity:15 xt2:7 xt1:7 induction:2 solution:17 vector:1 markov:20 martingale:1 estimates:11 direct:4 approximation:16 second:10 tangential:1 estimated:3 even:3 nel:1 ˆt:2 above:10 new:3 increasing:3 limsup:1 notions:1 prato:2 here:9 represented:1 path:2 κp:1 interpret:1 contraction:2 obtained:7 forum:1 study:2 suitable:6 projection:5 classification:1 replace:1 total:4 univ:1 linearly:1 derivatives:5 would:2 negative:1 giacomin:1 therefore:24 type:3 tk:4 hahn:1 relat:2 curvature:1 berlin:1 reversible:4 hold:3 must:3 rε:1 springer:5 ma:1 theories:1 mt:1 concepts:1 endow:1 example:1 indicated:1 give:3 want:3 keep:1 absolute:1 end:1 provide:2 feature:1 how:1 w22:75 enx:3 eny:3 ordinary:1 description:1 replacing:3 davis:1 minimizes:1 law:11 arch:1 constants:4 third:2 appreciate:1 decreasing:1 order:16 restriction:1 interpretation:2 satisfied:1 london:1 thesis:1 xn:17 satisfies:5 before:2 monotonicity:3 fix:7 expectations:2 writing:2 better:1 scuola:1 eventually:1 them:1 they:2 multidimensional:1 structural:1 each:1 side:7 mean:1 displacement:7 contracting:2 literature:2 combining:1 extract:2 gradient:46 crucial:5 adapt:2 rm:1 ro:2 rk:165 mτ:1 linear:9 brε:4 surveys:1 free:1 standard:8 admits:1 subsequences:2 estimate:13 r0:3 r1:2 r2:4 starts:2 maximality:1 probab:5 generalizations:2 separable:5 already:2 restrict:1 ℓi:2 ℓh:2 another:1 illustrate:2 dipartimento:1 needed:1 linearities:1 variational:9 tool:1 bogachev:1 distance:15 approximations:2 classes:3 extracting:3 seminal:1 seen:4 60k35:1 relatively:1 strength:1 realm:1 2n:2 shall:19 birkh:1 simplify:1 involving:1 retaining:1 filtration:1 max1:1 flow:19 points:4 principle:3 left:2 section:22 heuristics:1 probl:1 semicontinuity:16 random:5 solutions:12 keywords:1 analogue:2 d1:3 situations:3 høegh:1 integrate:3 constant:8 continuity:23 do:1 sense:15 dh:1 di:2 de:6 da:2 dx:8 dy:8 dw:4 dt:40 ds:2 eme:1 fields:6 µ2t:3 analytical:1 nε:4 reference:2 kolmogorov:1 projections:5 dµ:12 techniques:2 said:1 capacity:1 µt:54 subsequence:7 symmetric:7 µn:51 µk:7 approach:8 letting:6 terms:6 extend:2 nature:1 wn:20 weak:21 however:6 wt:2 topology:5 essentially:3 appeared:1 villani:2 basis:1 been:6 cesaro:1 basic:3 topics:1 applied:4 aim:2 fubini:1 suppose:3 property:29 leaves:1 played:1 iv:4 ii:13 disjoint:3 cone:1 containing:1 descent:2 make:2 linked:1 concavity:3 several:1 grows:1 independent:1 skorohod:2 hand:12 auser:1 potentials:1 normalization:2 weakly:37 giorgi:1 epa:1 diffusions:1 just:5 thanks:6 previous:7 adding:3 martingales:1 belongs:3 easy:2 dµ0:10 iτ:2 possible:2 possibly:8 background:1 unique:23 dµn:12 arbitrary:4 dµt:7 acad:1 dense:7 unipv:1 unit:2 minimization:2 properties:19 chapter:1 quasilinear:1 o:4 wγ1:6 ψr:5 ensure:3 mccann:3 book:1 statements:1 bound:8 right:5 balanced:1 amsterdam:1 kusuoka:1 methods:1 support:10 initial:8 approximate:3 why:1 accordingly:1 way:3 form:21 ψm:9 denoting:2 true:1 supp:3 bounds:6 supk:4 supn:6 proved:9 abstract:1 mollification:1 proven:3 dν:1 exist:7 distributions:10 check:10 olla:2 physical:1 nk:1 no:15 when:27 vanishes:2 setting:10 role:5 test:1 nt:2 models:5 uniformly:11 variable:1 fusco:1 assume:21 dσ:21 together:1 time:10 push:1 concept:4 remarkable:1 equalities:1 brownian:5 integration:9 leads:3 computation:1 devoted:2 depend:2 technique:1 finally:9 analogous:4 advantage:1 orthogonal:3 choice:2 solves:3 presented:1 turns:1 discrete:9 gruyter:1 upper:2 measurable:2 cost:1 rλ:9 stands:1 ere:1 pallara:1 uniform:15 annals:3 closability:5 satisfy:2 transportation:2 lipschitz:22 based:12 along:3 appears:1 xε:5 sobolev:1 studied:1 krohn:1 studies:1 useful:4 convolution:1 modifying:1 coinciding:1 planck:13 prove:33 positive:1 eπ:3 compactly:2 saks:1 duality:11 pγ:2 validity:1 appendix:5 dissipative:1 pettis:1 cases:4 eγ:80 valued:4 values:2 probabilit:1 following:24 making:1 hiroshima:1 claim:1 degenerate:4 dxt:3 monge:2 allowed:1 rescaling:1 conversely:1 verlag:4 oslo:1 write:3 criterion:1 optimal:20 map:12 product:8 max:1 applications:2 4th:1 sns:1 data:2 natural:6 whenever:5 sr:1 explicit:2 so:30 definitions:2 typical:1 ulam:1 schwartz:1 indeed:18 stability:17 coercivity:1 motions:1 still:6 interesting:5 forms:9 main:7 non:11 regularities:1 processes:14 introduce:3 identically:1 now:32 discuss:1 nor:1 sτ:25 term:5 equality:3 orthonormal:2 domain:1 en:2 ei:10 ek:1 ed:3 gaussian:11 ey:3 ex:7 approximated:2 ev:1 es:4 er:1 shown:2 space:23 furthermore:3 increase:1 contained:4 rational:1 formula:13 shows:11 theory:16 sheffield:1 quite:1 superiore:1 e1:3 transition:6 motion:6 monotones:1 neglect:1 first:30 xj:2 xk:8 xi:8 lyons:1 transform:1 directly:2 xs:2 open:6 xt:45 given:20 minimizer:8 yin:3 1a:2 hilliard:1 white:1 gives:26 pnx:5 continuous:39 proving:4 revuz:1 x0:6 x1:1 than:2 relative:24 generality:7 ann:1 argument:16 say:6 any:32 ideas:2 converges:14 ideal:1 potential:3 take:2 interior:7 coincide:2 ρmax:2 formulas:1 sure:2 multiple:1 trace:1 normal:1 formulae:1 adopt:1 typically:2 laws:5 show:27 discovered:1 spaces:8 injection:1 state:2 only:25 going:5 lorenzo:1 parabolic:3 xxxiii:1 viewpoint:1 get:20 expectation:1 enjoys:1 closure:2 nondecreasing:2 maximum:2 connections:2 namely:5 us:20 y0:2 surfaces:1 satisfying:9 inequalities:9 functionals:6 enough:8 between:14 affecting:1 justified:2 notice:27 jm:12 comm:1 concentrated:1 σh:5 σn:28 many:4 region:1 according:1 expression:2 σu:6 among:1 affine:2 characterization:1 overview:1 hungar:1 period:1 cancel:1 moreover:14 semigroups:3 motivations:1 optimality:1 universitext:1 former:1 case:40 proves:11 characteristics:1 metric:2 regularity:3 supremum:2 2τn:2 different:3 media:1 granted:1 cc1:1 same:10 dγ:36 arguments:3 otto:3 extended:1 trivially:2 noticing:1 driven:1 hilbertian:2 changing:1 totally:1 eth:1 relies:1 supports:2 ccr:1 without:4 solve:4 coordinate:1 model:8 tional:1 dimension:6 being:7 resp:9 polish:1 multiples:2 heuristic:1 generator:1 debussche:1 seems:2 wall:2 interested:2 real:3 around:1 read:2 using:18 ams:2 either:2 giuseppe:2 stationary:4 deduce:1 gateaux:1 provided:6 dimensions:1 conservative:1 decomposition:2 provides:9 bessel:2 refer:2 equivalent:6 injectivity:1 theorems:1 µt2:2 whence:1 µt1:2 2j:1 luigi:1 xni:3 op:1 takeda:1 cambridge:3 inclusion:1 references:2 operator:1 ambrosio:6 log:39 area:3 strictly:2 there:26 start:2 resolvent:4 tight:9 complete:3 pdes:1 liminf:2 applying:7 ωt:1 strongly:7 ak:3 general:29 formulation:4 gradients:1 again:8 completeness:1 stationarity:1 graduate:1 field:2 valid:1 spatial:1 mathematics:3 yor:1 drift:4 representable:2 includes:1 a1:3 important:4 bounded:47 included:1 curve:6 mass:1 starting:9 ptn:4 sci:1 consider:27 splitting:1 scalar:10 commute:1 generalize:1 follow:3 referring:2 equivalence:3 tr:2 tn:3 preserved:1 th:14 tf:2 stochastic:21 sτn:4 tc:1 norm:10 jensen:3 kτ:4 very:2 translations:1 corollary:2 difference:3 condition:6 subsets:2 hamiltonian:1 t2:5 t0:8 t1:6 large:4 small:1 anal:2 integrability:1 pardoux:1 pass:6 further:1 canonical:4 bilinear:4 nonlinear:1 sum:1 varadhan:1 version:4 sup:23 method:1 gγn:1 cylindrical:7 directions:1 strong:4 equations:21 allows:3 espace:1 permutation:1 action:1 uniquely:4 tightness:17 family:11 establish:3 probabilities:5 contains:1 quasi:1 endowed:5 more:13 2w2:2 particular:9 known:5 recall:10 equation:26 det:1 canonically:2 νt:19 compare:1 νs:2 stated:2 minimum:3 arise:1 νn:33 νi:2 νk:16 information:3 needs:1 recursive:1 rather:2 acts:2 maps:6 fp:9 simplicity:1 fr:2 algebra:4 derived:1 fk:3 fm:8 fn:18 dσn:14 short:1 dσk:1 dσh:3 yσ:1 negligible:3 dσt:3 fε:6 fλ:21 wiener:2 paper:11 through:1 signs:1 y1:1 existence:29 cc2:2 its:14 picard:1 solving:1 actually:1 systems:3 pavia:1 yi:4 motivated:1 yn:2 finitedimensional:1 oxford:1 smoothness:1 2t:4 easily:8 wloc:2 asterisque:1 always:1 level:1 2f:4 inequality:35 radial:1 2m:5 universit:2 2h:2 characterized:1 energy:3 reduce:1 idea:1 obtains:4 2hn:7 quantum:2 w2:60 itˆo:3 since:32 denotes:1 dominated:6 denoted:5 induced:13 issue:2 monotone:6 definition:10 pairs:1 nonnegative:5 exponentially:1 consequence:15 probability:40 done:1 least:6 equi:8 minimality:1 introduction:4 construct:1 echet:1 assumption:13 statement:8 wasserstein:28 scheme:6 saint:1 recursively:3 immediate:2 part:4 jordan:2 norms:4 diffusion:1 kind:1 john:1 determines:2 dans:1 dtd:1 determined:2 null:4 tπ:1 paths:1 built:1 depending:1 lim:64 lip:18 build:5 play:3 measures:54 most:2 plan:2 significant:1 closable:5 probabilistic:2 appear:2 clear:2 tε:7 countably:1 kn:16 countable:3 exp:41 velocity:2 physics:1 converge:22 minimizing:2 relation:1 find:12 dividing:1 boundary:4 subsection:1 factor:1 integrable:2 triangle:1 notation:10 dependent:1 ϕt:13 ϕn:11 combinations:3 arxiv:1 investigate:1 carrillo:1 set:33 achieved:6 see:38 theoretic:1 analog:1 ergodicity:1 pisa:1 smallest:3 consecutive:1 conditions:2 burkholder:1 interfaces:4 interface:7 both:5 last:4 lebesgue:4 connection:3 oshima:1 pde:2 whole:5 point:14 simple:5 corresponds:4 coincidence:2 dimensional:28 simply:2 throughout:2 pr:1 ensures:2 described:2 pt:37 px:26 due:2 strategy:2 pf:1 ensured:4 marginals:3 pn:13 walter:1 tνµ:1 albeverio:1 fokker:13 p2:108 while:6 replaced:3 couplings:8 vectors:2 because:5 belong:1 emphasize:1 widely:1 resulting:1 used:9 flows:23 normale:1 lower:26 older:1 obviously:9 exponentials:1 stating:1 distances:2 λv:4 λt:8 amp:1 λk:5 contradicting:1 guaranteed:1 theorem:63 guarantees:1 euler:4 integer:7 formal:2 modifications:1 follows:23 yields:6 limn:2 pointwise:7 terminology:2 mathematical:2 grouped:1 sketch:2 lipb:25 often:2 absolutely:4 some:18 back:1 understood:1 b0:1 examples:1 σst:1 ourselves:1 spdes:5 describing:1 interaction:1 σk:3 tends:1 proc:1 prob:2 minimal:1 bg:2 bk:3 bt:5 step:8 br:4 bs:9 hilbert:7 integers:2 extending:1 remains:3 regular:3 repulsion:1 savar:4 into:12 integral:3 wn2:4 wn1:1 statistics:1 span:1 alexandrov:1 u0:1 gases:1 u2:21 borel:11 handbook:1 forward:1 sections:2 wnk:1 sde:8 link:3 line:1 uy:6 ut:3 up:2 differentiable:1 um:2 un:17 continuously:1 fluctuations:5 similar:4 laplace:1 associated:26 defined:11 coincides:3 chap:1 application:1 priori:2 nice:1 elements:1 generates:1 problems:5 generated:2 sides:2 structure:1 implies:16 thermalization:1 notion:1 equivalently:1 having:3 funaki:3 once:1 partial:4 saying:2 results:16 proposition:35 go:1 gn:1 gm:3 gk:1 gi:1 compact:6 granular:1 uniqueness:12 stable:3 cahn:1 include:2 bounding:1 notes:2 interpolating:4 zn:7 semicontinuous:7 imply:3 concludes:1 dynamics:2 plays:1 analogously:1 exercise:1 respectively:7 objects:1 implicit:3 remark:3 technical:2 larger:1 erateurs:1 contradiction:2 products:2 makes:2 zabczyk:1 boundedness:2 apr:1 limk:5 weaker:4 feller:2 apl:5 apply:4 use:20 recalling:1 next:4 few:1 ecole:1 iii:12 account:10 fulfils:1 ρn:8 infinitesimal:1 obvious:2 ρt:29 proof:49 borrowed:1 logconcave:3 process:19 purposes:1 assumptions:2 2eγ:1 differentiability:2 σei:1 regions:1 instead:2 stoch:1 ρmin:4 singular:1 abuse:1 contractivity:2 rλn:18 chapman:1 element:1 diffeomorphism:1 realizes:1 gundy:1 jussieu:1 looking:1 holds:15 interpreted:1 including:1 banach:3 mentioned:1 bridges:1 ln:10 masses:1 lj:1 lect:1 choose:4 derivative:4 defining:2 flour:1 functional:13 realize:2 dirac:1 university:2 concave:32 identified:2 sufficiently:1 l2:27 l1:5 homogeneous:2 related:6 society:1 measure:44 our:14 nonlinearities:1 special:1 out:3 matrix:3 rel:2 lecture:1 suffices:9 math:8 discontinuity:1 diagonal:2 clarify:1 surely:5 york:1 monographs:1 dirichlet:20 geometry:2 dunford:1 could:1 times:4 counterpart:2 length:1 hence:5 precisely:3 νtn:6 πk:1 adjoint:1 πn:37 system:2 πl:3 their:2 appl:2 stroock:1 siam:1 perfectly:1 reversed:1 reflecting:1 zε:6 completes:1 cyl:5 holland:2 appealing:1 result:25 curves:3 correspond:1 need:8 clearly:1 min:11 able:1 εs:1 instance:8 subject:2 calculus:4 lectures:2 gγ:1 preliminary:1 tanaka:1 class:13 consequences:2 stronger:1 hi:1 fact:19 matematica:1 supported:5 evolutionary:1 trivial:1 subtracting:1 µnt:6 knowledge:1 much:7 basel:1 should:2 lemma:37 ambiguity:1 attained:1 local:2 achieve:1 equilibrium:3 δxn:2 means:6 maximaux:1 joint:1 egrales:1 µn0:1 evolution:8 densities:3 differential:12 hydrodynamic:1 contain:2 dpn:2 fixed:4 view:3 multiplying:1 dνt:1 statistical:1 exists:20 notational:1 variations:3 spohn:3 finiteness:1 dνn:2 interacting:1 nondegenerate:1 tend:1 written:2 closed:6 dlt:1 crude:1 invariant:12 neither:1 key:2 distribution:2 limits:1 freely:1 taking:17 equal:4 dγn:15 admit:1 passing:6 otherwise:1 detailed:2 co:1 conclude:2 cc:10 cb:25 cx:3 sequences:3 fukushima:1 respect:33 cp:3 selfadjoint:1 addition:3 distributional:2 cauchy:5 ezis:1 define:12 arises:1 zambotti:7 subspace:5 ensuring:1 survey:1 unlike:1 value:1 will:20 vf:3 almost:8 vi:1 vk:5 thus:1 vn:28 minimizers:3 vt:1 sequentially:1 parts:8 gibbs:4 finite:36 infer:1 difficult:3 ball:2 infinity:7 phn:4 effect:2 v1:4 urich:1 infinite:12 landau:1 identity:10 mech:1 reflection:6 well:8 sets:16 arising:1 usual:1 less:4 moments:12 half:1 obtain:51 macroscopic:1 adv:1 density:17 lattice:3 add:1 gigli:2 combine:1 propositions:1 semigroup:23 increases:1 know:6 press:3 immediately:2 loss:7 like:2 δx:8 page:1 therein:1 representation:9 classical:5 sequence:22 growth:7 choosing:4 convex:39 proper:2 proofs:3 neglecting:2 transport:7 nonempty:3 cτ:1 does:1 assuming:2 intersections:1 noise:1 journal:1 pp:1 although:2 approximating:1 quotients:1 cb2:3 extension:7 getting:1 cb1:24 introduced:2 converging:14 subset:3 discretization:1 h0:5 h1:1 attains:1 weighted:1 smoothing:1 quadratic:2 inner:1 naturally:1 function:18 north:2 borell:1 sequel:3 hw:3 but:4 hk:2 construction:1 hn:84 hl:2 hm:1 convergence:61 truncation:3 made:2 smooth:10 signed:5 below:9 limit:22 steepest:2 problem:3 int:1 linearity:1 denote:31 inf:39 identities:1 functions:24 other:6 details:1 regularizing:5 stat:1 zheng:1 variation:6 hausdorff:1 coupling:7 |
0704.2459.txt |@word crampton:1 schlegel:2 arcminutes:1 luminosities:4 four:2 woods:1 entropy:1 heliocentric:1 nmem:1 poorly:1 whose:1 calculate:1 ergs:1 under:4 worth:3 summarizes:2 mccammon:2 comparatively:1 cavaliere:2 every:1 summarized:1 vast:1 cmo:1 cmd:2 solution:2 xmmnewton:1 degeneracy:1 aeronautics:1 consistent:7 estimates:5 second:5 tangential:1 multiwavelength:1 estimated:7 blue:5 established:3 errors:7 ned:1 selected:6 reconstruction:5 new:1 net:4 simultaneously:1 ichikawa:1 galaxies:125 residual:2 here:2 richstone:2 reported:1 departamento:2 active:3 obtained:20 cidade:1 umetsu:1 adopting:1 liedahl:2 diameter:2 classification:2 visible:1 counts:9 total:15 univ:1 unit:2 plot:5 would:6 campusano:2 noting:1 therefore:6 distortions:2 type:7 until:1 separated:1 owen:2 populations:3 composite:3 excellent:1 hold:1 abundance:3 mf:1 mm:1 work:3 spec:1 erg:4 transparency:2 mr:2 example:2 wang:1 give:2 broadhurst:2 indicates:4 caution:1 magnitudes:13 isothermal:4 keep:1 provide:3 verify:2 feature:2 how:3 significance:2 after:3 diagram:5 summarize:2 types:2 guainazzi:1 substructures:4 effective:2 schneider:3 summing:1 complexity:1 davies:2 caii:1 correlation:11 acknowledges:2 order:8 operations:1 wc1e:1 over:8 ramella:1 london:2 gilbank:2 before:1 fit:14 better:1 fig:33 schmidt:2 shear:8 eventually:3 them:4 affected:2 combination:1 pacaud:1 band:10 effects:3 they:9 structural:1 oemler:5 represents:1 brightness:8 classified:2 each:9 higher:3 mean:9 vilspa:1 telescope:1 fairly:1 laboratory:1 rv:4 rs:5 restricted:2 cameras:1 rx:5 rvir:1 mason:2 content:4 re:1 ra:3 rc:6 hogan:2 foundation:2 linear:3 little:2 standard:3 formation:10 estimate:4 incorporates:1 sodr:4 r2:1 created:2 starts:1 cosmic:1 filter:1 xue:3 falco:1 mellier:1 features:6 hook:2 landolt:2 another:7 thick:1 electronic:2 rejects:1 top:5 listed:3 fabricant:1 exposures:5 17m:1 centered:4 tool:1 albert:1 binned:3 somewhat:1 vhel:1 bardeau:1 cheng:1 distance:6 showed:2 rate:1 normalizing:1 project:2 matter:5 tonry:3 minus:1 bridge:1 spectrum:9 seen:6 seem:2 contents:2 ray:82 latter:1 fitting:2 calibrated:1 circles:2 even:4 though:1 object:6 overdensities:5 regular:2 doi:1 observation:5 neighborhoods:1 calculated:1 metal:3 inferred:7 points:5 sum:3 fitted:8 dickey:2 probe:2 colors:12 radio:14 tremaine:1 hobson:2 northeast:1 rich:8 adequate:1 rectangle:1 do:5 above:8 de:11 degradation:1 allington:1 photoelectric:1 dv:1 dahlem:1 ds:1 unfortunately:2 covering:1 public:1 twice:1 bad:1 explanations:1 mergers:1 reference:1 furthemore:1 zamorani:1 detection:2 depends:4 decided:1 radius:12 result:1 best:10 subject:1 brazil:2 propulsion:1 approach:1 nature:5 component:4 weak:38 however:16 wu:3 ellipticity:3 contamination:1 fukugita:4 received:2 irregular:3 conclusions:1 merging:2 l143:1 contribution:2 blaizot:2 height:1 represented:1 polynomial:2 broadening:1 three:8 been:8 extraction:1 much:5 expected:3 correction:1 cardelli:2 eastern:1 quantities:1 chile:3 reddening:1 applied:3 microns:1 willis:2 near:3 study:7 procedure:6 seven:1 n2e:1 ii:1 player:1 voges:1 id:2 containing:2 suggest:4 make:1 linked:1 complex:6 contaminate:1 several:6 templates:1 independent:2 peaks:3 i0:1 numerical:3 hand:1 dark:5 bggs:2 normalization:1 sextractor:2 mentioning:2 maximizing:1 scenario:2 pinkney:1 evrard:3 left:11 carlberg:4 just:2 newton:5 yee:2 identify:3 yet:2 previous:2 poses:1 evidences:3 passive:2 spread:1 5h:1 east:4 plasma:3 declination:1 opt:2 rosati:2 bands:3 disagreement:1 possible:3 background:24 silverman:2 burns:4 steps:2 night:2 right:13 old:1 j2000:1 paragraphs:2 icm:2 bottom:5 soto:2 fapesp:1 comments:1 linearly:1 yields:1 whitaker:1 core:34 rosat:2 arbitrary:1 rhombi:1 lamps:1 properties:5 o:6 plus:4 slightly:2 contours:7 emissivity:1 poggianti:1 faint:5 presence:5 marshall:2 obtaining:2 bound:3 fern:2 down:1 lies:1 often:1 rely:1 support:3 approximate:1 inspected:1 width:3 way:1 ettori:1 was:22 lowest:1 medium:2 form:4 lowdensity:1 forming:6 differences:1 pierre:1 aperture:3 solar:1 cnpq:3 removed:4 true:4 absent:1 inside:7 mgal:3 maximum:4 mgas:3 hotter:1 abstract:1 statistic:2 evidence:6 gemini:8 exist:1 simulations:4 distributions:1 triangles:1 regime:2 nh:3 stellarity:2 discriminate:1 dotted:2 no:5 whereas:1 when:4 ne:18 heisler:2 test:5 jenkins:3 picture:1 peebles:2 models:8 fusco:2 conicyt:1 longer:1 assume:2 typically:1 interval:5 gorenstein:2 time:5 n0:4 fassnacht:1 peacock:1 blanchard:1 leads:1 couchman:1 morphology:6 arcsec:2 uneven:1 depend:1 technique:1 environment:1 finally:2 behave:2 kaastra:2 departament:1 advantage:1 choice:1 anonymous:1 zucca:1 impressive:1 presented:13 did:1 yale:1 overlaid:1 upper:1 trend:1 dls:1 sign:1 spectrograph:1 ftools:1 targets:1 spectral:9 template:1 sauvageot:1 filled:1 erc:2 agreement:10 downloaded:1 groups:13 address:1 along:5 appears:1 instituto:2 thirty:1 institute:1 studied:5 funded:1 hydrostatic:3 suggestion:1 usually:2 hospitality:1 studies:3 plotted:2 tasks:1 useful:1 saunders:1 unabsorbed:1 illumination:1 emissionline:2 hierarchically:1 surroundings:1 suppl:1 criteria:2 australian:1 kelson:1 apparent:2 visual:1 beers:3 observations:20 cases:3 clumps:2 lowercase:1 reviews:1 values:9 following:2 making:1 equilibrium:6 gravitationally:3 claim:1 figure:15 december:1 sample:12 performed:5 council:3 hydrogen:1 rays:9 s3:15 s2:25 s1:32 exceptional:1 optimal:1 parameter:6 map:21 mat:1 may:12 use:5 southern:1 4th:1 mag:25 date:1 data:28 mal:1 dynamical:12 sv:1 ghz:2 cosmology:2 omez:1 so:2 halos:2 castander:1 typical:1 cutoff:1 indeed:6 pointed:1 mainly:2 ities:1 kong:1 statistical:3 differs:1 still:3 observational:1 group:10 thank:1 acknowledge:1 interesting:1 coordinates:1 main:11 fxcor:2 non:3 introduce:1 scaling:1 half:5 now:1 discuss:1 nor:1 matched:1 fabian:2 entirely:2 photometry:2 square:1 ei:1 significantly:7 valtchanov:1 gaussian:7 astrophysical:2 entering:1 wavelength:5 es:1 canada:1 shown:12 space:4 increase:1 gaussians:1 suggesting:3 formula:1 squares:4 shows:18 carrasco:8 possibility:3 quite:1 california:1 besides:1 seventy:1 lanzetta:1 iterative:1 motion:2 turn:2 massive:5 first:7 henry:1 rms:1 stsci:1 array:1 open:1 dokkum:2 size:3 given:23 sheet:1 caught:1 indicate:2 handbook:1 white:7 structures:35 national:4 holden:2 fraction:13 mostly:2 dolag:1 representing:1 than:23 intrinsically:2 population:11 wide:2 third:3 xrays:1 future:1 loiseau:1 were:37 college:1 documentation:1 dynamically:2 sas:2 allen:2 turner:1 any:8 note:3 take:1 converged:1 l115:1 channel:1 balucinska:2 multiple:1 norman:1 normal:1 falls:1 pair:1 mdyn:1 jørgensen:1 probes:1 latex:1 average:15 adopt:1 typeset:1 ferrari:2 abraham:1 sigma:1 pvalue:1 quantity:1 slope:1 neto:3 spaced:1 show:2 discovered:1 zepf:2 bright:4 threshold:1 xmm:12 ratio:5 gull:2 outside:1 only:20 going:1 centrally:1 arcmin2:2 morphological:7 cannot:1 nearly:2 illingworth:1 reveal:3 median:10 overscan:1 summary:2 fainter:10 lbol:1 reveals:1 analy:1 physically:1 deconvolution:1 rmf:3 detect:4 extragalactic:2 yahil:1 behind:2 between:21 lowluminosity:1 mekal:3 across:1 notice:1 uk:1 dome:1 jr:7 clayton:1 virial:6 come:1 pixels:6 concentrated:4 many:1 region:17 contract:1 xspec:2 aura:1 fahlman:1 σv:1 comes:1 nearby:8 color:18 associated:17 considering:2 west:3 workshop:1 combined:2 direction:5 relations:3 formed:4 qso:1 external:1 bayesian:1 those:10 case:9 profiles:5 ongoing:1 shall:1 situation:1 ehle:3 discrepancy:2 cluster:142 bias:5 uhb:1 technology:1 different:8 virialized:1 same:16 shifts:1 html:1 status:1 investigated:1 assigns:1 closest:1 barger:1 boehringer:1 roughly:2 without:2 components:5 fixing:1 model:21 laboratories:1 noao:1 rest:5 hint:1 photons:2 seems:3 except:1 instrument:1 grating:1 kingdom:1 atmosf:2 around:1 mos:7 psf:4 early:4 using:41 accepted:2 particle:2 velocities:10 either:4 reduced:3 imaged:1 table:15 images:18 provided:1 kaiser:1 ellis:2 confirm:1 kmm:2 finkbeiner:1 critical:2 provides:1 moderate:2 refer:1 measuring:1 biased:1 assembly:4 scientific:1 seconds:4 emulateapj:1 comparison:3 calibrations:1 central:6 bimodal:2 package:4 discussed:2 estimator:1 perturbed:1 cambridge:1 redshift:34 instruments:1 image:26 rising:1 determine:1 gomez:2 maurogordato:1 spline:1 hew:1 sparser:1 area:6 removing:1 there:12 dispersion:9 detectable:1 low:6 stars:5 brazilian:1 assumes:1 lubin:2 enough:4 mnras:11 applying:2 stanford:1 ωm:1 flats:3 2003a:1 agree:1 strongly:1 metzler:3 ag:1 certain:1 cbi:2 ao:4 general:1 examine:1 reliability:1 together:3 file:2 intra:3 bluer:5 completeness:1 ideally:1 field:15 caltech:1 spatial:2 slezak:1 presenting:1 poor:11 perpendicular:1 separate:2 includes:1 arcmin:2 important:2 peak:11 coverage:2 included:1 encias:1 curve:1 mass:75 nelson:1 cores:1 resolution:4 arcsec2:2 represent:6 consider:1 pointing:1 lack:1 cooperative:2 follow:2 zabludoff:2 arnouts:2 causes:1 tx:5 removal:3 tail:2 program:5 th:1 belonging:1 mpc:12 very:6 discrepant:2 dispersions:4 fall:1 large:5 small:8 employing:1 neighborhood:1 ten:1 fringing:1 schartel:1 zero:2 pasp:1 further:1 gunn:1 what:1 sub:8 pritchet:1 section:14 ast:1 version:1 verdugo:1 method:2 contrast:1 revealing:1 full:2 loose:1 iraf:5 hours:1 excess:5 strong:5 observing:1 search:2 antisymmetric:1 losses:1 allows:1 prior:1 brightest:6 analyzing:1 extinction:2 establish:1 select:3 takes:1 contains:6 charge:1 squires:1 archives:1 taken:4 astr:1 more:10 flat:2 corrected:6 emission:47 instrumental:1 basically:1 particular:1 known:1 r0:2 producing:1 evolves:1 middle:2 science:6 equation:1 evolved:2 dec:3 compare:1 challenging:1 cosmological:1 rodriguez:1 suggestions:1 ann:1 states:2 sphere:1 axis:2 information:7 patton:1 maps:9 centimeters:1 gebhardt:1 galactic:5 tried:2 mendes:1 derived:14 sarazin:2 catalog:6 response:2 short:1 spectra:15 sect:5 fundamental:1 mission:1 thermal:2 paper:3 through:10 filters:4 existence:1 concentric:1 its:11 paulo:3 style:1 l73:1 actually:1 late:3 detected:12 systems:8 relate:1 argentina:1 might:1 mathis:1 gmos:9 good:8 motivated:1 mullis:1 speculate:1 association:2 bryan:1 moscardini:1 hereafter:4 goldstein:1 fully:1 level:4 fgas:4 chandra:3 radial:11 found:7 universit:1 week:1 weight:1 energy:9 hard:1 extended:2 expect:2 measurement:1 beyond:1 event:1 since:11 projected:16 research:5 dominated:2 sloan:1 induced:1 issue:2 plotting:1 ciˆencias:1 foreground:10 offsets:4 dressler:5 base:1 imaging:4 members:5 eisenhardt:1 sbi:2 unresolved:1 veloc:1 universidad:1 mazzotta:1 probability:2 isocontours:2 number:9 efstathiou:1 done:4 takada:1 differ:1 temperature:12 jet:1 introduction:1 twenty:1 5th:1 pspc:1 least:11 assumption:2 smoothed:3 recovered:1 witnessing:9 pipelines:1 baryon:2 part:3 bower:3 king:2 observatory:2 grey:1 determined:5 supposed:1 treated:1 mos1:10 headings:1 cleaned:1 concentration:4 null:2 lie:2 depending:2 self:1 astronomia:3 couch:2 flares:1 analogy:1 ancillary:1 towards:4 serena:3 reach:1 most:7 assoc:1 significant:3 accreting:2 bahcall:3 measured:11 clear:2 coincides:1 km:21 ks:2 optical:17 electrons:1 exp:1 kt:5 velocity:39 physics:2 joining:1 chebyshev:1 thomas:1 particularly:3 converge:1 relation:9 find:12 parameters:9 distributed:2 factor:5 circle:1 loeb:1 columns:4 redsequence:1 express:1 valuable:1 during:2 continuum:1 arxiv:1 iraf1:1 investigate:2 common:2 activity:4 murowinski:1 bars:2 set:1 see:18 arc:1 sec:5 arf:3 conicet:1 close:2 soucail:2 contour:1 rejecting:1 cappi:2 probably:5 conditions:2 available:1 lasenby:1 recently:2 statistically:1 attention:2 spectroscopic:8 both:11 prescription:1 bohringer:1 mewe:2 context:1 point:7 simple:2 smith:1 corresponds:6 dimensional:1 simply:2 church:2 throughout:1 adaptively:1 described:6 rasia:2 due:5 garmire:1 pc:1 reduction:2 describes:1 collected:1 ph:1 pn:10 empty:1 referee:1 gas:14 covariance:1 gap:2 σcl:1 fritz:1 gal:2 understand:1 representative:1 systematic:1 extracted:5 classifications:1 look:1 solid:3 reliable:2 while:4 behavior:1 error:3 lineof:2 real:1 mos2:2 itself:2 jeltema:4 santos:1 butcher:3 vikhlinin:3 virtually:1 widely:2 resulting:4 relatively:3 interpolation:1 used:20 ciˆ:1 levels:3 moving:1 user:1 robust:1 recent:2 rmfgen:1 lower:2 task:2 database:2 schindler:2 analysis:20 edge:1 redistribution:2 parametric:1 lin:1 distances:2 shape:4 intervals:1 world:1 cut:2 majority:1 source:8 location:4 input:1 bin:1 tomas:1 australia:1 march:1 format:1 showing:1 ciencias:1 wings:1 imposed:1 lost:1 tangentially:1 follows:1 signal:4 eev:1 shapes:2 flux:7 indication:3 clipping:2 methods:1 some:2 back:1 sight:9 anisotropies:1 scale:9 diaferio:1 measurements:4 l11:1 per:1 pell:1 smail:4 connecting:1 epic:2 rua:1 aj:7 bi:1 tidal:1 constrains:1 bgg:1 range:6 latetype:1 modal:1 bridle:5 consequently:3 seeing:5 into:4 within:5 integral:1 nsf:1 riestra:1 appropriate:1 lensing:45 ellipse:1 uncertainties:1 sawicki:1 long:1 balogh:4 facultad:1 analyze:2 sections:1 files:4 registered:1 segregation:4 line:29 gravitating:1 consist:1 characteristic:2 up:2 us:1 verification:1 spectroscopy:5 similar:4 called:1 constant:4 defined:2 detectors:1 redshifts:13 single:6 unsaturated:1 steeper:1 dashed:6 6bt:1 department:1 hydrodynamical:1 users:1 calculating:1 vettolani:1 lucia:2 william:1 meaning:1 allowing:1 fisher:1 structure:61 agn:4 correlated:1 implies:2 algorithm:3 stsdas:1 nasa:3 dot:1 having:2 code:1 gs:1 results:16 existing:1 pearce:2 edu:2 serendipitously:1 aria:1 arfgen:1 behalf:1 dickinson:1 gravel:1 dramatically:1 vla:1 ρc:2 lockman:2 tri:1 entire:1 inspection:1 concluded:1 smaller:3 odf:1 universities:2 index:3 giving:1 capital:1 bird:2 3d:1 chose:1 degree:2 respectively:21 identifications:1 objects:18 focused:1 others:1 extreme:1 great:1 involved:1 larger:1 leaving:1 suggests:5 survey:2 shaded:7 composed:1 named:1 casilla:1 apr:1 photometric:4 apj:34 lenticular:1 roettiger:3 apply:1 lima:4 confidence:5 usa:1 fek:1 next:2 few:3 sharples:2 hints:1 high:11 account:3 integrating:1 obvious:1 thin:2 meet:1 scatter:1 control:1 shepherd:1 process:5 reconstructed:3 slit:2 tab:1 ascension:1 sis:16 united:2 varied:1 cuar:1 regions:5 located:15 lamp:1 numerous:2 elliptical:5 filament:1 circular:3 profile:21 singular:1 masks:2 kneib:3 fits:2 bertin:2 yielded:1 light:1 lines:11 correspond:4 allow:1 discussion:1 nonequilibrium:1 evolutionary:1 vmf:36 astronomical:1 interpreted:1 produced:2 overdensity:5 ellipticities:4 including:2 proust:1 mentioned:1 fwhm:6 galaxy:63 le:1 outer:1 la:3 chosen:1 rizza:1 masses:3 osterheld:1 degrees:1 clusters:42 defining:1 pixel:8 lx:6 greater:1 auto:1 cover:1 university:1 tran:1 identified:3 nfw:15 trimmed:2 morris:3 magnitude:19 mode:1 references:1 related:3 constitute:3 deficiency:1 variety:1 measure:2 obsid:4 our:11 witness:1 substructure:5 matrix:1 rev:1 bolom:1 adaptive:2 red:10 geof:2 angular:1 interactions:1 ısica:3 borgne:1 completely:1 franx:1 likelihood:1 hubble:1 obs:1 could:7 shells:1 frenk:4 times:5 length:1 assumed:2 davis:4 south:5 nedwww:1 powerful:1 ziegler:2 l37:1 wilman:2 mvir:1 quality:1 histograms:1 system:4 adopted:7 their:10 intermediate:19 final:6 too:3 tonoise:1 observed:11 ipac:3 limiting:1 individual:1 amplitude:1 partnership:1 curves:1 unlikely:2 need:1 constrained:1 border:4 clearly:3 angle:3 studying:2 able:2 chiba:1 instance:2 detector:6 borgani:1 accuracy:2 bolometric:2 intrinsic:2 class:1 r200:6 subtracted:4 shimasaku:1 looked:1 artificially:1 fact:1 selection:1 text:1 superimposed:2 ccds:3 agrees:2 subtracting:1 based:16 baryonic:2 controls:1 should:4 brighter:5 ellingson:1 arcseconds:1 emitting:1 local:9 colberg:3 means:1 lsj:1 overall:1 flattens:1 futamase:1 arranged:1 procedures:1 symbols:3 evolution:1 densities:1 luminosity:13 navarro:4 processed:3 fixed:4 view:5 intervening:2 shapiro:1 computed:6 acquired:1 variations:1 frame:7 argued:1 intensity:4 stirpe:1 σcrit:1 operated:3 luminous:2 closer:1 interacting:1 southward:1 tend:2 xray:2 state:1 difficulties:1 closed:1 routine:1 tens:1 comparable:1 ericas:2 importance:1 agencies:1 duane:1 hypothesis:2 kev:20 problem:1 limits:1 taking:1 ln:1 figures:1 estimation:4 relevant:1 cm:6 conclude:3 environments:2 cz:2 maximize:1 respect:3 kinematic:1 addition:3 describe:1 corresponding:9 binning:1 bulk:1 deep:2 covered:1 c3:1 present:14 multi:1 value:19 will:2 ar:1 uncertainty:1 kernel:2 thus:1 surface:10 vs:3 administration:1 cross:2 universidade:2 member:6 mulchaey:7 largest:1 units:5 homoscedastic:1 http:3 cubic:1 fielded:1 effect:1 v1:1 v6:1 femiano:2 off:1 center:20 nevertheless:1 modeled:1 well:13 thought:1 residuals:3 position:6 spherical:1 starforming:1 less:2 accurate:1 obtain:6 sources:5 distant:1 preprint:1 density:30 absorption:4 sky:8 hall:1 valid:1 spirals:1 ashman:2 putative:1 five:1 press:1 immediately:1 prominent:1 necessary:3 like:6 success:1 δv:1 pg1115:1 become:1 works:1 δc:2 deviation:2 because:6 sequence:5 growth:1 arimoto:1 metcalfe:1 intermediatemass:1 merge:1 avoid:2 capelato:1 overlap:1 kpc:7 masked:1 esa:3 assuming:3 sdss:1 noise:6 benoist:1 journal:2 11h:1 stellar:2 although:3 offset:4 spectroscopically:1 h70:3 panel:14 about:6 column:3 universe:2 carries:1 andez:2 own:1 previously:1 cypriano:5 h0:2 weighted:2 estimators:1 unbinned:1 van:2 additional:4 transfer:1 smoothing:1 inner:2 flynn:1 function:5 north:3 but:10 histogram:9 astro:1 repeated:1 hierarchical:2 highest:1 partially:1 count:1 made:2 compute:2 whether:1 gravitational:6 smooth:1 below:6 gaps:2 limit:2 ruling:1 demonstrate:1 distribution:30 minutes:1 rixos:6 tormen:1 ing:1 proceeds:1 inc:2 redder:4 functions:1 compared:7 calibration:2 percent:1 other:12 details:2 out:4 conclusion:2 gonzalez:3 star:4 june:2 variation:1 precision:1 metallicity:4 balkowski:1 astronomy:6 exposure:6 auxiliary:1 came:1 determination:6 loken:3 |
0704.2460.txt |@word code:4 considerations:1 shadmehri:2 insight:1 results:2 rotating:1 radii:1 ray:2 computation:1 cold:1 disk:17 thicker:1 impact:1 but:1 knowledge:1 parameters:2 title:1 show:1 sky:1 editors:1 forms:1 kα:2 comparison:2 black:2 ϑo:2 easy:1 zhou:2 emitting:1 include:1 axis:1 motivated:1 around:1 showing:1 material:1 innermost:1 geometrical:1 units:1 embark:1 unsmoothed:1 effects:1 using:2 rotation:1 produced:1 several:2 encodes:1 riffert:1 presented:2 fully:1 gui:1 disks:1 flux:1 fabian:2 integrals:1 radial:2 become:2 university:1 spins:1 names:1 profile:2 arxiv:1 observer:1 simplicity:1 series:1 idea:1 observed:1 located:1 see:1 full:1 geometrically:2 examples:1 year:1 images:1 our:5 dynamics:1 elliptic:1 satisfies:1 techniques:1 index:2 sub:4 space:1 speith:3 thickness:4 re:2 rg:1 above:1 between:1 µe:1 new:2 increasing:2 approach:1 inclination:1 asp:1 sheng:1 nature:1 respectively:1 arbitrary:1 flow:1 hefei:1 wu:2 china:2 here:2 references:1 active:1 fluorescent:1 improve:1 obtained:1 verify:1 extend:1 20rg:1 zone:1 geometry:3 tracing:1 region:1 approaches:1 reduced:1 ruszkowski:2 plane:2 comm:1 comp:1 introduced:1 emissivity:2 first:1 cunningham:2 laor:2 rms:1 apr:1 into:2 number:1 apj:3 ruder:1 beckwith:2 right:2 done:2 aimed:1 thick:4 angular:3 conference:1 given:1 astronomy:1 described:2 publication:1 introduction:1 transfer:1 top:2 system:1 been:3 ting:1 their:1 accretion:9 rates:2 calculations:1 basic:1 astrophysics:1 ph:1 fig:1 function:3 direction:1 illuminated:1 equatorial:1 line:14 emission:2 keplerian:6 astro:1 taken:1 ϑe:3 authors:1 mnras:3 hole:2 spin:1 present:1 must:2 volume:1 kind:1 inclinations:1 science:1 gravitational:1 profiles:10 ωk:3 thin:3 iron:3 following:1 radius:1 example:1 wang:4 figure:1 vol:1 relativistic:6 abstract:1 thus:1 surface:2 rin:1 assumptions:1 performed:1 technology:1 relatively:1 orbital:1 different:3 angle:3 conical:1 miao:1 when:1 same:1 cadeˇ:2 parts:1 modification:1 performance:1 finite:2 gaining:1 map:1 galactic:1 calculating:1 calvani:1 bottom:2 generated:2 produce:1 fe:1 suited:1 law:1 cases:2 model:6 structure:1 agn:1 center:1 fluorescence:1 restricted:1 adopt:3 well:2 thought:1 declination:1 time:1 firstly:1 velocity:5 nuclei:1 rout:2 left:2 |
0704.2461.txt |@word represent:1 now:2 code:2 arrives:1 unshocked:1 particular:1 results:3 fluids:1 leads:1 kuleuven:1 computation:2 winds:3 follow:1 expressions:1 nwo:1 mp:4 depend:1 zone:9 ergs:1 rayleigh:1 send:1 passage:1 tail:4 investigation:1 present:1 resources:1 sound:2 far:1 1pc:1 continues:3 multi:1 terlevich:1 mixing:1 li:1 bubbles:1 blast:2 encounter:6 balance:1 internally:1 level:2 turns:1 t4:1 shock:66 t2:1 t3:1 travels:1 trentham:2 fruchter:1 drop:1 woosley:2 natarajan:1 approximately:1 miller:1 consistent:1 estimates:4 progenitors:2 jump:2 surrounding:5 rate:3 further:3 dynamics:8 rrs:2 situated:1 casse:1 even:1 index:1 stands:1 3s:1 stars:6 brief:1 uniform:4 3m:1 new:8 increasing:1 shocks:4 evolving:1 meynet:2 galaxies:2 mccray:2 here:5 hours:3 refinement:1 explore:1 compressed:5 alone:3 strong:2 change:2 deduced:1 box:1 panaitescu:3 ahead:3 institute:2 larger:2 allows:1 prior:1 changes:2 langer:1 composed:2 fourfold:1 followed:2 ratios:1 apr:1 apj:5 wis:1 1e2:1 granot:2 total:2 blastwave:6 plot:1 use:4 cluster:1 franco:2 would:2 analytic:1 remains:3 term:2 finally:1 scenarios:2 few:1 therefore:1 relativistic:13 taken:1 doubling:1 type:1 until:4 more:6 separated:2 vic:1 initial:11 needed:1 normalized:1 separates:1 known:1 r0:1 producing:1 logarithm:2 kumar:3 springer:1 crosses:5 characterize:1 originally:1 work:3 levan:1 itself:1 values:4 thin:2 believed:1 arrive:1 stated:1 expanding:5 neglected:1 high:4 lorentz:30 sense:1 supernova:2 feasible:1 occur:1 mowlavi:1 verlag:1 rays:1 travel:1 get:1 regions:6 very:3 hot:6 hjorth:1 contrasts:1 tenorio:1 fourth:1 massive:10 profile:7 may:1 quantified:1 after:7 lab:2 explored:1 waves:1 tacc:1 bloom:3 supersonic:2 realized:1 short:2 dynamical:1 third:1 computations:1 light:3 grant:2 accelerated:1 sh:5 so:1 allow:1 media:2 fireball:12 sg:1 order:2 wind:91 typical:2 help:1 produces:2 astronomical:1 find:2 soon:1 ejecta:2 produced:2 thermal:9 paper:1 through:15 kinetic:5 still:5 its:15 before:4 delay:1 accepted:1 how:1 energies:1 relativity:1 decreases:3 actually:2 forms:1 condition:1 mail:1 dyson:1 maximal:3 eventually:1 good:1 entire:1 meliani:5 frontal:1 material:1 innermost:1 introduce:1 effects:1 they:1 front:2 yr:2 association:2 represents:1 february:1 netherlands:2 2s:1 university:1 presented:1 realistic:1 faraway:1 bursts:2 instabilities:1 characterized:1 reproducing:1 msh:1 domain:2 financial:1 significantly:1 energy:19 related:1 solution:3 grbs:5 extended:1 static:2 separating:1 our:9 beyond:3 eq:4 er:4 shown:3 factors:1 restricted:1 furthermore:2 since:3 lagrangian:1 1200s:1 increase:1 re:1 exploding:1 dominated:5 adaptive:5 linear:1 interactions:1 achterberg:1 discontinuity:11 mechanisms:1 rayet:2 free:14 release:1 base:1 proxy:1 e3:1 e2:1 pairs:1 interaction:5 marle:2 r1:3 r2:1 created:1 starts:5 could:1 transition:2 days:2 times:4 mesh:2 isotropic:1 ism:9 transfer:1 hence:1 speeds:1 first:5 already:3 manuscript:1 blown:1 blain:1 number:3 reaches:3 smaller:1 done:1 fast:3 directly:1 reached:5 given:4 temperature:2 similarly:1 top:1 structured:3 least:1 realistically:1 their:2 cooling:1 intermediate:1 advection:1 observations:1 passed:1 rates:1 john:1 l13:1 too:1 shell:54 collapse:1 mostly:1 γmax:2 took:1 forward:18 assumption:1 optical:1 deceleration:6 simulate:1 representing:1 peculiar:1 ncf:1 accelerates:1 distance:6 supposes:1 effective:1 roles:1 accordance:2 second:2 aims:2 matter:16 future:2 supposed:1 evaporated:1 motivation:1 modeled:1 ram:1 curves:1 need:1 seen:4 20m:2 orders:1 ray:3 acceleration:9 castor:4 form:1 self:4 davies:1 shocked:33 mckee:10 internal:3 era:1 tagle:1 spectral:2 differences:2 relatively:3 centre:1 bagla:1 outcome:1 reach:2 falls:1 most:1 macc:1 significant:3 position:1 phase:22 falle:1 acknowledgements:1 extremely:1 mach:1 thermally:1 volume:1 vwind:4 consequences:1 calculated:1 flow:1 km:1 ramirez:1 part:5 velocity:1 physics:2 fact:1 keppens:4 slope:4 goedbloed:1 particularly:1 show:5 supported:1 purely:2 radio:1 thickness:1 undisturbed:1 ratio:1 explain:1 than:7 terminal:11 surroundings:1 only:3 factor:30 over:1 ruiz:1 larsson:2 dominant:1 above:2 means:1 vary:1 overall:1 words:1 drawn:2 during:3 rfs:1 following:1 evolution:9 resolve:1 showed:1 arxiv:1 highresolution:1 garcia:1 investigate:5 hydrodynamic:1 analytical:5 including:1 weaver:5 gendre:3 shapiro:1 requirement:1 set:4 circumburst:6 computed:1 swept:16 burst:2 acquired:1 undergoes:1 frame:3 identify:1 maximum:16 zones:2 ara:2 namely:1 radius:4 result:1 close:3 cold:3 phases:1 interacting:1 wijers:8 propagates:2 enough:1 between:9 progress:1 conditions:1 across:1 stratified:1 arrival:2 recently:1 creating:1 nature:1 initially:3 comp:1 complement:1 weak:1 however:2 wr:8 key:1 jets:1 modeling:4 concentrated:1 received:1 stages:2 last:2 reverse:23 outflows:1 region:23 conclusions:2 propagation:5 mildly:1 context:1 requests:1 blandford:10 comment:1 cm:13 corresponds:1 proton:1 dimensional:1 active:1 constant:11 throughout:2 considering:1 due:3 been:2 quickly:1 reduction:1 much:2 slowly:1 progenitor:2 expected:3 ph:6 traversing:1 galama:2 fig:21 oth:1 obtained:2 relations:1 frontera:1 both:1 transferring:1 gas:1 decreased:1 brightening:1 c2:5 evidence:2 diffuse:1 those:2 case:4 hypersonic:1 nakar:2 value:2 enthalpy:1 will:8 invoking:1 while:5 abrupt:1 investigating:1 ultra:6 played:1 almost:2 thus:1 jpg:1 encountered:1 comoving:2 middle:1 sudden:3 converts:1 ambient:2 interacts:3 increased:1 different:1 develop:1 cools:2 suggest:1 make:1 cross:1 clearly:1 shorter:1 complex:2 tgrb:1 several:1 bring:1 higher:4 used:2 eds:2 numerical:6 effect:2 ρism:4 driven:2 v2:1 levels:1 3n2:1 hydrodynamics:1 pittard:1 giannios:1 recent:1 costa:1 lower:3 center:1 scenario:2 acknowledge:1 polytropic:1 well:1 contact:12 utrecht:1 does:1 simulated:1 termination:13 model:8 latter:2 l107:1 left:1 spherical:1 less:1 generally:1 resolution:1 leftward:1 intervals:1 distant:1 thanks:1 transferred:3 speed:6 yet:2 note:3 rapid:5 density:26 except:1 extends:2 location:1 plasma:2 segura:1 resolved:1 psh:1 around:2 possible:1 increases:3 grid:7 belgium:1 using:2 amr:1 prominent:1 fransson:1 loss:5 shaped:3 exploiting:2 adiabatic:1 specific:1 arthur:3 translated:1 decrease:3 leuven:2 old:3 methods:2 smoothly:1 discontinuities:1 some:5 back:2 rebrightenings:1 deduce:2 respect:2 duration:2 multiple:2 little:1 pronounced:1 scale:1 dense:2 lead:2 peq:2 instantaneous:2 magnitude:1 eso:1 fom:1 propagating:2 esh:3 terms:1 seconds:1 each:1 agreement:1 expansion:3 stellar:10 pressure:13 lasts:1 11r:1 about:2 decelerates:4 extending:1 commun:1 discussed:4 dependence:1 o:1 simulation:7 distinct:1 wolf:2 mixed:2 propagate:5 efforts:1 introduced:1 gamma:4 nsh:2 computational:1 into:3 within:2 numerically:1 interstellar:2 three:3 down:1 pair:1 appropriate:1 right:1 references:1 heated:1 frames:1 twr:1 van:2 compression:2 assumed:1 support:1 there:6 chevalier:2 long:5 low:1 fraction:2 astrophysics:2 bubble:4 consists:1 function:2 head:1 medium:14 complete:1 newtonian:2 forming:2 pe:4 delayed:1 but:1 astro:6 mnras:3 highest:1 true:1 versatile:1 longer:1 made:1 up:23 us:1 below:1 hydro:1 similar:4 agree:1 regimes:1 strongly:2 isobaric:2 taylor:1 associated:2 moore:1 computing:1 coincides:3 abstract:1 influence:4 cbm:10 simulations:2 lifetime:2 physical:1 again:1 marking:1 compared:1 nl:1 no:2 when:8 detail:1 points:1 grb:13 out:1 draw:3 star:10 models:2 time:17 variation:9 important:1 afterglow:4 log:1 astronomy:1 gets:1 structure:12 offprint:1 n3:1 maeder:3 requires:1 curve:2 chiosi:2 investigated:1 mass:14 quantify:2 n1:1 n2:3 accreted:3 expands:1 original:5 once:1 |
0704.2462.txt |@word limited:1 consider:1 caused:3 magnetic:25 brownian:2 results:1 four:1 grateful:1 finesse:1 stronger:2 denotes:1 chiorescu:1 optical:6 whose:1 terms:4 description:1 tr:1 braginsky:1 environment:8 finally:1 does:1 device:1 helps:1 under:5 nori:2 worth:1 necessary:2 applied:1 supported:1 zhang:2 very:2 frequencies:1 tends:1 conditions:1 ugarte:1 gz:1 resonant:4 experimentally:1 difference:1 wipf:1 cool:3 leads:6 level:5 turns:1 proposals:1 solution:5 t0:6 damped:1 karrai:2 δz:1 destroying:1 small:6 enhance:1 ueda:1 setup:4 degeneracy:11 heidmann:2 upper:1 employing:2 force:37 oscillation:10 dealing:1 consistent:1 sin2:1 sign:2 approximation:1 rate:14 equipartition:1 design:1 naik:1 chen:2 further:2 dynamics:9 estimated:1 frunzio:1 theory:2 even:3 established:2 nonlinear:1 plays:1 detuned:1 nano:2 aspelmeyer:2 sun:2 assisted:2 bc:2 near:5 expressed:2 current:16 experiment:3 above:7 new:4 lowry:1 ground:2 contrast:1 coefficient:1 supporting:1 vitali:1 girvin:2 photothermal:1 respectively:1 clerk:3 bifurcation:1 component:2 here:2 understanding:1 ranges:1 iσz:1 operating:5 cos2:10 mes:1 relaxation:11 active:2 ratio:3 milli:3 strong:7 equations:1 change:8 obtained:1 balance:1 zwickl:1 spontaneous:4 study:4 studied:2 whitcomb:1 resulting:1 characterizing:1 pinard:2 kemp:1 action:25 implement:1 suitable:3 studies:1 concerned:1 control:1 via:1 clark:1 scales:4 explained:1 private:1 highly:2 scaled:2 modulated:1 iz:1 decrease:1 frame:7 blaser:1 vahala:1 clockwise:2 detecting:1 linearly:1 readily:1 presents:1 use:5 charge:1 feb:1 superpositions:1 improves:1 distinct:1 positive:5 vg:1 negative:1 next:1 process:1 sample:1 monotonically:1 therefore:4 ip:10 associated:1 resonator:19 today:1 preserved:1 separated:1 optimizing:1 bennett:1 chiaverini:1 diagonalize:1 composite:3 neglected:1 operators:3 stable:3 emission:4 berlin:1 appendix:4 controlling:3 foundations:1 iii:2 high:5 account:1 crosses:1 room:1 quantized:2 effectively:2 ρi:1 science:5 equation:16 work:3 oscillator:3 modified:1 mk:13 ρq:2 mt:2 itself:2 temperatures:1 mr:58 following:2 making:2 modifies:1 lighter:2 example:2 f0:3 wang:5 indicated:4 lρ:2 calculation:3 discussed:1 chip:5 mohanty:1 organized:1 thorwart:1 saito:2 states:6 indicates:1 successively:1 lorentz:29 numbers:1 degenerate:1 gigahertz:1 tanaka:1 junctions:3 verlag:1 transduction:1 silicon:1 provide:1 discussion:3 acts:2 feature:3 arrangement:1 delay:3 how:1 deppe:1 kakenhi:1 instead:1 sin:11 fp:2 circuit:4 algebra:1 may:2 after:3 derived:1 lengthy:1 expectation:1 diagram:2 applications:1 plane:4 gradiometer:1 improving:1 readout:1 fl:7 response:19 realized:1 physical:5 third:1 tsai:1 jayich:1 sensitive:1 explicit:3 ghz:5 their:1 rather:2 si:1 so:1 fundamental:2 order:10 typical:1 feedback:2 produces:1 developed:1 over:1 trade:1 thermal:12 paper:4 through:3 differs:1 japan:1 kinetic:2 yamaguchi:2 its:8 schoen:1 before:2 meno:1 jacobs:1 derive:2 thank:1 interesting:1 solving:1 decreases:1 li:3 forms:2 estimating:1 according:1 lr:1 fig:11 total:2 main:1 defining:1 easier:1 pierre:1 them:1 crucial:1 junction:6 pauli:3 thereby:2 matches:1 integral:1 dan:1 material:2 dephasing:1 disregarded:1 band:1 couples:1 ferguson:1 optimal:3 epstein:1 now:1 yu:1 discuss:1 represents:1 february:1 several:6 characterizes:2 hamiltonian:6 desirable:1 establishing:1 micro:5 magnitude:5 mode:13 l0:13 each:2 ρr:9 found:2 t1:6 side:1 mean:3 development:1 square:1 as7:1 rugar:1 density:2 energy:14 valenzuela:1 displacement:13 related:4 constitute:1 degen:1 frequency:17 gigan:2 measurement:3 quantum:9 our:9 approximated:1 2b0:4 eq:12 mat:2 shown:7 accomplish:1 tombesi:1 matrix:2 rep:1 since:10 induces:1 research:1 increase:2 re:1 acting:1 mγ:1 comprehensive:1 denoted:1 fth:4 induced:3 sensor:1 red:5 shows:2 takayanagi:2 linear:4 barrier:1 mavalvala:1 φz0:6 lahaye:2 ntt:2 free:3 tian:3 advantages:2 term:8 poggio:1 optomechanical:11 estimate:3 muller:1 definition:1 interaction:2 derivation:1 created:1 could:4 feasible:3 motion:21 xue:3 length:1 harris:1 due:1 incorporated:2 hence:4 vijay:1 neglect:2 first:4 major:3 initial:4 yong:1 omitted:1 powerful:1 number:1 reaches:3 schliesser:1 smaller:3 another:2 carry:1 reached:1 ring:1 ying:1 quality:5 dispersive:1 given:5 perturbation:2 bracket:1 temperature:17 indicate:1 introduction:1 revealed:1 eqs:2 franco:1 system:18 relations:3 dfl:1 cooling:85 mazo:1 master:7 too:2 realization:1 dt2:1 scheme:2 final:1 gives:1 relationship:1 behind:1 environmental:4 part:2 favorable:1 hur:1 authors:1 off:2 than:12 thz:1 hundred:1 determines:2 effective:18 bruder:1 acknowledgement:1 enabled:1 zero:2 tunable:3 nakano:3 iωd:1 determined:2 doubly:3 amplitude:7 enables:1 treated:2 buu:2 rae:2 refrigerators:1 fluctuation:17 reduction:1 spectrum:5 randomly:1 already:1 su:1 levitov:3 need:1 seen:3 orders:1 wilson:3 strength:3 der:2 depending:2 efficient:3 studying:1 self:5 oliver:1 able:2 mechanism:4 metallic:1 note:1 hr:3 contact:1 take:2 forces:1 online:2 xi:1 γt0:1 switching:2 shnirman:3 heisenberg:1 towards:1 opposite:1 any:1 atsugi:1 reach:1 cleland:1 most:1 microsecond:1 bolometric:1 significant:1 pair:1 britton:1 sophisticated:1 inserted:1 refrigerator:1 sub:1 kb:2 nonlinearity:1 considered:1 σi:1 average:1 later:1 steady:5 drive:25 kl:35 regards:4 principle:3 exp:5 mechanical:12 kz:1 prefactor:1 normally:1 section:3 fact:1 quantity:1 precise:1 location:1 show:2 random:1 rotating:4 lloyd:2 carefully:1 d2:1 eigen:1 berggren:1 based:7 parameters:8 conduction:1 brenner:1 written:1 should:2 only:5 explicitly:2 corresponds:1 factor:6 thompson:1 armour:2 achieve:3 equilibrium:1 do:1 dominant:1 means:6 dc:2 workshop:1 beam:9 liu:2 cannot:1 dz:1 words:1 measured:1 dt:8 represented:2 dq:1 gray:3 regarding:1 increasing:3 aluminum:2 keff:1 arxiv:3 oppenheimer:1 whether:1 experiments:2 nakamura:2 siddiqi:1 shi:1 qm:4 valid:1 set:3 computed:1 exists:1 achieved:4 physically:2 exerted:2 liouvillian:1 detection:1 habib:1 depends:8 sec:8 result:1 discussions:2 close:5 ur:4 contour:1 analog:1 points:1 practice:1 away:2 circulating:1 artificial:1 eigenstates:2 µm:1 state:21 between:11 understood:1 limit:1 diagonalized:1 approach:1 preserve:1 realizations:1 recently:2 nature:7 spacing:5 suppresses:1 however:11 efficiency:36 kanagawa:1 no:2 jj:2 article:1 configuration:1 niskanen:1 both:4 cos:27 last:1 yoshihara:1 brown:1 similar:3 region:1 hint:2 heating:4 σz:20 concentrate:1 dated:1 qubit:72 estimation:4 expression:2 experimental:8 2kb:1 point:18 color:5 marquardt:3 unitary:2 harmonic:2 directions:1 anti:1 genes:1 carbon:1 moreover:3 throughout:1 suppressing:1 along:2 considering:1 mcclelland:1 described:1 transformations:1 second:4 addition:1 hertzberg:1 three:5 been:4 strategy:1 attaching:1 detuning:6 much:7 damping:6 interest:2 basic:2 deliberately:1 proposal:3 systems:2 dots:3 box:1 direction:12 controlled:6 fedorov:1 flatter:1 quantities:1 concerning:1 formed:2 subspace:2 requires:2 2ip:2 zeilinger:1 rabi:1 coherent:2 observe:2 external:2 inductance:2 roukes:2 present:4 case:5 laser:3 josephson:8 pacs:1 solid:5 might:2 expanded:2 value:8 transformation:3 will:2 information:1 while:4 suppose:1 promising:2 tunneling:1 loop:19 london:6 real:3 devoret:2 larger:4 coupled:1 tens:1 vi:2 squid:2 thus:2 surface:1 iv:2 ii:2 canceled:1 superconducting:16 bias:11 cond:2 il:1 baths:1 affected:1 shift:1 technology:1 situ:2 currents:1 greater:1 containing:1 recorded:2 cools:1 radiation:3 lett:20 same:4 clearly:1 stimulated:1 σx:10 potentially:1 schematic:2 largest:5 units:2 finite:2 ichev:1 higher:5 vibrates:1 independent:1 used:6 see:2 singapore:1 kelvin:3 effect:6 hand:1 driven:6 levels:1 robust:1 fabrication:1 mentioning:1 lower:2 kept:1 proceed:1 largely:2 makes:2 obstacles:1 well:5 analysis:1 bohm:1 more:6 without:3 solve:1 mizel:1 na:1 position:1 laboratories:1 latter:1 cryogenic:1 buks:2 protocol:11 proposed:1 less:1 being:1 nanoseconds:1 obtain:11 detail:1 teff:4 lossy:1 voltage:1 aspect:1 world:1 alternative:1 vyatchanin:1 clamped:3 previous:1 schwab:6 rapid:2 monitored:1 zoller:2 vibration:3 golden:1 hutter:1 corbitt:1 hall:1 passive:8 setting:2 transformed:1 treatment:3 versa:3 theorem:2 consideration:1 excited:1 match:3 supercurrent:5 around:3 mow:1 possible:3 spanned:1 period:3 harmans:1 increases:5 using:7 heer:1 displaced:2 imposed:1 helpful:1 semi:2 follows:1 performing:1 orlando:3 flexibility:1 mamin:1 flux:38 mirror:2 imposes:1 mhz:9 blencowe:5 always:2 become:2 dilution:1 reduced:2 cooled:3 mathematical:1 because:4 qed:2 classical:9 spring:6 successfully:1 back:26 okamoto:1 born:1 b0:14 briant:1 choosing:1 respect:4 proper:2 ωb2:2 imamoglu:1 neglecting:1 metcalfe:1 scale:3 proceeding:1 zhou:1 realistic:2 cavity:8 broad:1 mγδ:1 langevin:3 integration:1 microwave:15 boltzman:1 efficiencies:1 paternostro:1 provides:1 assuming:2 unstable:1 closely:1 demonstrated:2 cohadon:2 inserting:1 destroys:1 biased:4 noise:4 coated:1 scientific:1 power:9 plot:1 equivalent:1 δi:1 oscillating:3 conventional:1 pressure:3 zwerger:1 shifting:1 rigetti:1 ratios:2 inherent:1 optimize:1 handled:1 about:6 carried:2 introduces:1 dependence:4 o:5 langer:1 practical:1 range:1 involving:1 greatly:3 larmor:2 backaction:1 suggestions:1 slightly:1 micromechanical:1 rev:26 wineland:1 communication:1 into:4 obtaining:1 bath:4 down:6 phase:1 appropriate:2 right:1 tiny:2 heated:1 operator:1 proportional:5 fei:1 bosonic:1 theoretically:1 semba:5 wal:2 van:2 additional:3 metzger:1 extremely:1 springer:1 there:3 question:1 transform:1 fast:2 noticed:2 start:2 jsps:1 fˆl:2 low:1 way:5 ωeff:2 actuator:1 analyze:1 was:1 andresen:1 iˆ:2 function:2 form:2 metastable:5 hq:4 delayed:6 but:4 idea:1 arcizet:1 heat:1 atom:1 impedance:1 line:5 dissipative:7 partially:1 made:1 applying:2 wilhelm:1 intuitive:3 φext:2 rigidity:1 type:1 vice:3 maximum:1 us:1 different:6 placed:1 exerts:1 those:4 critical:2 demonstrate:1 problem:2 ωb:16 damps:3 ωd:9 regimes:1 detailed:3 irish:1 constant:8 computing:1 defined:2 certain:2 describe:2 influence:1 generating:1 general:1 single:1 γeff:1 governed:1 nanomechanics:1 formalism:1 regime:7 physics:1 bouwmeester:1 owing:3 corporation:1 fruitful:1 when:7 ne:1 field:15 mooij:4 other:8 role:1 you:1 out:5 poor:1 picture:4 generates:2 excitation:1 superconductivity:2 variation:1 generated:1 a2:2 peak:1 suppression:1 dissipation:3 cooper:1 needed:3 matrixes:1 implies:3 coupling:15 calls:1 dω:1 typically:1 martin:1 changed:1 persistent:8 together:2 having:1 leibfried:1 mass:2 kippenberg:2 time:25 far:1 decoherence:1 application:1 original:1 sigg:1 fermi:1 |
0704.2463.txt |@word partial:1 consider:4 caused:1 zmin:5 edu:1 contributions:6 poorly:1 inverse:1 semikoz:3 paris:2 tu:1 those:2 overproduce:1 include:1 magnetic:4 starbursts:2 division:1 miele:1 mpc:2 evolves:1 very:1 elsaesser:1 l5:1 figs:1 difference:3 induced:2 level:4 anisotropy:2 cmb:2 duquet:1 large:6 discrete:1 waxman:3 small:4 dip:6 degeneracy:1 upper:1 smaller:3 zh:1 estimates:1 discover:1 second:2 estimated:1 tev:16 blue:5 established:1 hernquist:1 anniversary:1 experiment:2 above:5 fractional:1 method:1 contrast:1 shocks:2 evolving:1 fiz:1 respectively:2 loose:2 here:1 ranges:1 objects:1 strong:2 appears:2 deduced:1 remark:1 study:2 losses:3 suggests:2 amount:1 cta:1 shaded:2 via:1 scales:1 apr:1 annihilations:1 marked:1 highly:1 neutrons:2 apc:2 neutrino:1 total:1 confidence:1 would:3 commun:1 visit:1 suppl:2 france:1 scenarios:6 few:2 nucl:2 therefore:1 type:1 blazars:1 more:6 becomes:1 pisma:1 hubble:1 glast:5 particular:1 known:1 cases:1 positrons:4 account:2 crosses:1 work:1 protons:18 dashdotted:1 oleg:1 values:4 dmitry:1 springel:1 scatter:3 compare:1 gzk:6 cosmological:1 give:1 process:2 neglected:1 high:6 performed:1 magenta:4 egret:19 pinj:3 rays:7 goal:1 influences:1 parizot:1 parameter:2 astropart:2 fr:1 express:1 galactic:3 information:2 may:4 produce:2 summarize:1 law:5 data:1 fo:1 imply:1 sr:3 spectra:2 lines:4 correspond:1 cascade:14 accelerated:1 green:3 decreasing:1 parameterizes:1 acknowledges:1 order:1 bins:1 serpico:2 zmax:6 olinto:1 mannheim:1 over:2 spectral:1 produced:1 paper:1 hooper:1 existence:1 still:3 thank:1 fit:5 decay:1 ln:1 scully:1 production:16 choose:2 main:1 maximal:2 good:1 affected:1 evolution:10 reflected:1 band:6 effects:1 they:2 now:1 discuss:1 backgrounds:5 kalashev:2 greisen:1 events:1 realistic:1 bursts:2 fields:5 found:1 characterized:1 em:9 reactions:1 arxiv:22 financial:1 significantly:1 energy:31 hard:1 astrophysical:7 gelmini:1 ev:14 out:1 cosmologically:1 shown:6 space:1 furthermore:2 since:1 rev:5 abbasi:1 conclusions:1 dominated:6 dominate:3 ref:3 red:7 shows:3 theory:1 interactions:8 galaxies:2 in2p3:2 formation:3 hep:2 uhecr:35 e2:1 pairs:3 unresolved:1 could:2 transition:1 cosmic:11 times:1 length:2 isotropic:1 teor:1 undergo:1 neglect:1 origin:2 cludes:1 rachen:1 primary:4 grigorieva:1 directly:3 fluxes:9 size:1 given:4 likely:1 introduction:1 unknown:2 interact:2 structured:1 least:1 their:1 ankle:5 moscow:1 sreekumar:1 sigl:3 optical:2 pavlidou:1 rst:1 than:4 berezinsky:1 stanev:1 double:1 require:1 transferred:1 matter:1 future:2 contrary:2 light:1 quataert:1 providing:1 russia:1 sophia:1 exhibit:1 function:3 comput:1 7a:1 spectrum:16 dash:2 ras:2 seen:1 any:2 relatively:2 zatsepin:1 efficient:1 60th:1 note:2 fitting:2 take:1 even:2 cnrs:1 hires:11 index:8 collaboration:3 correlation:1 most:3 significant:2 pair:9 bahcall:1 measured:2 parametrize:1 especially:1 stronger:1 electrons:4 artificially:1 fitted:1 show:6 infrared:2 relation:1 astrophys:7 injection:7 ground:1 o:4 based:1 parameters:3 engel:1 should:3 only:3 factor:1 thompson:1 dn:1 gev:17 eksp:1 eonie:1 de:1 agns:2 combinations:1 during:1 secondary:12 armengaud:2 processes:2 luminosity:4 differential:1 acknowledgments:1 experiments:1 predicted:1 miniati:3 fixed:1 reimer:1 emax:4 comparable:1 maximum:2 observed:6 see:5 individual:1 radius:1 result:1 enhanced:1 rmi:1 extragalactic:11 subsequent:1 currently:1 enough:1 between:12 dermer:2 ends:1 triplet:1 recently:1 were:1 however:1 modeling:1 jetp:1 allard:1 both:4 limits:1 taking:1 uncertainty:2 propagation:2 mev:1 contribution:8 comes:2 nearby:1 among:1 isotropization:1 cm:3 point:1 kachelriess:1 proton:10 dimensional:1 ensslin:1 pr:1 described:1 instrument:1 addition:1 due:7 much:2 deposited:2 ph:26 empty:1 fig:23 enable:1 corresponding:4 photon:5 gazizov:1 diffuse:14 present:1 case:6 domon:1 solid:6 straight:1 value:2 will:4 while:2 ultra:3 region:1 gala:1 larger:2 ir:3 thus:2 comoving:1 cluster:1 mod:1 confirmed:1 lacking:1 sensitive:4 cross:1 same:2 compton:1 ray:23 cuoco:1 composition:1 higher:1 development:1 independent:2 satellite:3 used:1 http:2 closest:1 numerical:1 codes:2 purpose:1 lowenergy:1 keshet:1 recent:2 lower:4 scenario:12 well:2 without:1 components:2 model:3 latest:1 starforming:2 less:2 percent:1 loeb:1 sources:14 shape:1 distant:2 hess:1 scattering:1 tables:1 generator:1 density:3 absorption:1 photons:11 transparent:1 source:6 lett:5 rectilinear:1 resolved:1 around:6 depends:2 unter:1 showing:1 possible:5 dark:2 increases:2 background:8 ruled:1 lost:3 qualitative:1 eev:8 alice:1 flux:50 continue:1 www:1 because:3 some:1 deflection:1 redshifts:1 anisotropies:2 pronounced:1 scale:6 lead:3 electromagnetic:2 avoid:1 measurements:1 microwave:2 conservative:2 magnitude:1 proc:2 minimal:4 power:5 disentangle:1 use:2 rue:1 although:1 salamon:1 rare:1 carried:1 universe:1 dependence:3 stecker:3 range:8 mixed:1 gamma:1 cutoff:5 suited:1 redshift:3 instruments:1 into:3 within:1 integral:1 down:7 cascades:7 statistics:1 computer:1 additional:1 support:1 there:1 detectable:1 kuzmin:2 low:4 fraction:2 was:1 synchrotron:2 energies:13 but:3 astro:24 line:12 highest:3 considerable:1 october:1 versions:1 up:6 us:1 moskalenko:1 below:3 decays:1 malkan:1 distribution:1 similar:2 emit:1 strongly:1 defined:1 contribute:4 influence:1 inr:2 general:1 single:1 stanford:1 simulations:1 distributions:1 steeper:1 compared:4 dotted:6 no:3 amounts:1 dashed:4 whereas:1 when:1 ng:1 other:4 grb:1 star:1 hannestad:1 models:2 chance:1 important:2 suppression:1 studied:1 variable:1 structure:3 agn:4 implies:1 pion:8 practically:3 assume:1 protheroe:1 together:1 demonstrates:1 n0:1 |
0704.2464.txt |@word homomorphism:2 consider:13 funct:1 results:3 dynasty:1 leads:3 scalar:1 proposition:9 generalize:1 computation:1 expressions:3 const:2 tt:2 equivalence:1 m2n:2 nonlocal:5 tn:3 charge:4 tj:1 th:15 ti:5 ridout:1 degeneration:1 overlaps:1 case:9 belonging:1 orthogonal:1 very:1 corollary:7 valued:2 lecture:1 difference:1 exact:1 deformations:1 condition:3 partitions:1 induced:4 level:2 irreducible:26 trx:2 vector:15 differentiates:1 small:1 eigenvalues:1 rk:3 degq:3 zl:1 upper:1 smaller:2 sℓ:31 mi:5 coefficient:1 direct:5 zero:1 further:1 cft:1 odd:1 linear:4 even:2 what:1 filtration:8 appear:1 trivial:2 sum:5 3p:18 expressed:1 current:5 nondegeneracy:1 version:2 en:1 above:6 new:4 kausch:5 acknowledgments:1 filled:2 satisfy:4 lee:1 degree:17 respectively:2 equals:2 modular:1 andrews:1 groups:1 address:3 directions:1 depend:1 baxter:1 logarithmic:16 obtained:8 remark:1 division:2 institute:3 eim:1 study:2 vectors:12 allows:1 stoyanovsky:1 bol:2 action:9 fourier:2 quotient:3 formulated:1 useful:1 divide:1 replace:1 vir:1 texts:1 apply:1 establish:1 bound:1 virasoro:13 use:6 chc:2 would:1 prove:7 positive:1 pluses:1 contains:1 only:2 next:1 comparing:1 nucl:6 iαn:1 m1:9 therefore:9 chv:2 m2:6 chx:8 type:4 theoretical:1 subsection:1 loktev:3 becomes:1 operators:7 voas:1 surjection:4 flag:1 fixed:1 pasquier:1 particular:2 known:1 um1:1 hold:1 fermionic:19 b538:1 isomorphism:2 feigin:25 recall:10 equation:5 mn:1 iα1:1 theories:4 bernard:1 labeled:2 fock:2 obvious:1 mr:4 following:10 example:3 proof:22 compare:1 figure:1 give:5 pieces:1 numbers:1 want:1 mail:3 verlinde:1 x1n1:3 kedem:2 needs:1 goal:2 s2:4 holds:1 afa:1 nontrivial:1 rsos:2 instead:1 gaberdiel:2 spinon:1 map:2 product:3 blocks:1 description:4 singular:3 after:2 mapping:1 lab:9 applications:2 ff:6 representations:21 constants:1 short:1 natural:4 sectors:1 whenever:1 lemmas:1 lines:2 correspond:2 su:1 element:1 extremal:1 filtrations:3 witten:1 so:2 correlation:1 representation:21 order:1 superscript:2 restriction:1 acts:1 kostka:1 produces:1 fθ:2 over:3 satisfied:2 wα1:1 ttt:1 paper:9 lss:1 differs:1 satisfies:1 vari:1 its:3 γvn:2 semikhatov:4 derive:1 group:6 chosen:1 fix:3 li:1 lv:1 com:3 degrees:1 fig:2 derivative:1 main:1 defining:8 image:1 ideal:1 correspondence:1 combination:2 introduce:4 primary:5 they:1 half:1 now:12 yu:3 bigger:1 2p:16 2s:15 invariants:2 university:3 arrows:1 applied:1 mode:9 l0:2 each:14 x11:3 2n:23 side:8 em:1 h0:1 arxiv:3 ei:4 weight:15 independent:4 series:4 energy:4 ef:3 related:1 operator:19 used:3 const1:1 eu:4 our:8 ring:1 category:3 xαi:8 shown:2 rp:1 matrix:6 factors:3 algebra:47 semi:1 particles:4 welsh:2 acting:4 m2i:2 rational:1 formula:15 π2n:2 induction:2 math:7 shows:1 foundation:1 theory:10 free:1 standard:5 york:1 put:1 span:7 subalgebras:1 beginning:1 generate:1 definition:4 interaction:1 koehn:1 chiral:2 βs:5 geometry:1 tamm:2 times:1 counterpart:1 introduction:1 int:1 gordon:6 xα1:1 adjoint:9 first:12 xj:11 opes:1 xi:11 xn:6 degu:1 symmetry:1 quasiparticle:1 variables:7 number:4 construct:1 xs:23 xp:4 open:1 appl:1 xt:4 given:12 e1:8 forrester:1 bears:2 top:1 πn:3 quasi:1 relations:12 πr:6 their:2 c2n:2 fermions:5 statement:2 realization:6 normalization:1 bits:1 gives:11 isomorphic:2 moscow:6 exactly:2 γv:6 assumption:1 part:8 ables:1 b338:1 x1:13 than:2 coefficients:3 2min:3 third:1 cyclic:3 fuchs:1 double:1 second:4 deg:4 xi4:1 were:2 toward:1 powers:1 russia:5 decompose:1 kazhdan:1 function:3 close:1 rewrite:2 generalization:2 say:1 7p:2 need:3 any:6 lie:1 min:14 lim:1 note:14 emphasis:1 take:1 duke:1 encyclopedia:1 coincide:3 heisenberg:1 formulas:21 senechal:1 normal:1 vnl:2 αs:4 gθ:1 most:1 wess:1 class:1 beginners:1 laurent:2 especially:1 considered:2 ki:1 coincides:2 vertices:1 kr:7 hi:1 physics:4 section:1 dot:1 lebedev:2 show:9 supported:5 contemporary:1 notations:1 miwa:3 spaces:4 relation:6 solutions:2 decompositions:1 corner:1 d2:5 d1:3 q2:9 parameters:1 mathieu:2 enough:3 should:1 lemma:20 quasiparticles:1 bases:2 generators:6 screening:1 factor:1 local:2 oct:1 columns:2 abelian:1 notation:5 means:4 dp:2 schoutens:1 serban:1 fields:16 transposition:1 differential:3 qa:3 nα:11 nβ:2 describes:1 doublet:2 qn:2 kernel:3 redefine:1 set:13 tation:1 exists:5 uq:11 j0:1 j1:6 module:12 namely:3 sec:2 result:1 terms:15 nonlocality:1 gmail:3 c2p:6 satisfying:4 tensor:5 nondegenerate:1 rims:1 symmetric:3 written:2 between:1 αi:2 takeyama:1 approach:3 commute:2 n1p:5 triplet:7 recently:1 iδi:1 schubert:1 p2n:4 however:1 jl:3 jn:2 comm:1 p2p:2 bracket:1 both:2 σi:2 x2n:6 last:2 spinons:1 many:1 equal:10 ln:2 admit:2 symplectic:5 embedding:1 expression:2 comes:3 otherwise:1 ck:1 ch:2 cn:1 conclude:1 bouwknegt:1 corresponds:1 dimensional:10 minuses:1 path:1 polynomial:12 moreover:1 throughout:1 aαk:1 ei1:1 finally:1 described:5 commutative:2 basis:3 addition:4 three:1 bba:1 strategy:1 attaching:1 defined:4 dropping:1 b583:2 change:1 algebras:10 pn:1 define:1 dots:1 addison:1 direction:1 aα1:1 finishes:1 commutes:1 subspace:3 6p:1 1d1:1 general:5 spin:2 p2:2 multi:1 xβj:2 contemp:1 suppose:2 monodromy:1 indecomposable:1 di:1 conformal:17 b633:1 studied:1 voa:1 cartan:1 vi:3 vj:1 thus:3 vn:8 vp:1 coinvariants:6 vr:1 vs:9 im:1 dual:8 currents:3 rfbr:4 different:3 gainutdinov:2 specialization:1 grant:3 connection:1 same:4 parts:1 proved:4 finite:1 subalgebra:3 lusztig:1 exhaust:1 zumino:1 investigated:1 see:8 percolation:1 i1:5 nj:11 hand:8 v0:1 v1:5 v2:1 v3:1 v4:1 characters:15 infinite:1 landau:1 identity:1 recent:1 multiplicities:1 modes:10 matters:1 hwang:1 well:1 springerverlag:1 obviously:1 thm:1 contact:1 components:1 model:2 dimension:5 left:2 manifold:1 graded:12 monomial:2 obtain:15 rest:2 vanishes:1 via:1 transforms:1 integer:3 facts:1 multiplet:1 previous:2 submodule:2 generator:2 character:15 5p:2 lattice:6 belongs:1 transformed:1 lett:3 theorem:6 iπ:1 momentum:4 iα:3 big:1 iβ:1 combinatorics:2 spanned:3 ope:7 fusion:1 chernogolovka:1 know:2 vacuum:4 immediately:1 decomposes:2 mod:1 like:2 particle:2 follows:11 reduces:1 grants:3 arbitrary:6 popular:1 permuting:1 kac:1 because:9 sequence:1 some:11 2ns:1 deduce:1 respect:5 images:2 extended:2 nonzero:3 proceeding:1 grading:1 investigations:2 per:2 decomposition:11 linearly:1 ludwig:1 foda:2 minimal:6 pr:2 bf:2 power:1 annal:1 equivalent:1 pp:4 a18:1 wesley:1 step:1 binomial:1 refers:1 properties:1 transformations:1 xnp:2 about:2 central:4 yangian:1 extension:2 a0:1 commun:1 flohr:2 o:2 acp:3 extensions:5 act:1 introduced:1 slightly:1 considerations:1 into:3 obtaining:1 functional:2 jβ:3 right:6 references:1 sl2:1 tipunin:14 proportional:2 bosonic:1 realisation:1 rows:2 hep:12 log:1 xai:1 aren:1 transfer:1 there:6 u1:7 transform:1 u2:7 start:1 quadratic:6 mukhin:2 way:1 xk:3 was:5 lowest:3 m3:1 form:10 hv:1 but:4 hu:2 volume:1 construction:3 hl:3 χs:5 line:8 highest:17 true:2 applying:1 embedded:1 versions:1 2πi:2 multiplicity:1 cells:1 verma:5 us:1 um:1 below:1 un:3 more:1 similar:1 called:2 surjective:1 ab:8 ordered:1 ai:2 certain:1 abstract:1 describe:1 generating:1 doesn:1 denote:13 quantum:3 proves:1 exist:1 ini:5 corresponding:1 work:4 commuting:1 constructed:2 ni:28 functions:4 nk:2 no:2 na:4 nb:1 rs:2 ep:11 rewriting:1 field:21 other:4 np:15 mathematics:1 ns:1 nu:1 nv:2 conclusion:1 briefly:2 ru:2 models:19 symbol:1 vertex:22 xαj:4 polynomials:8 treatable:1 generated:20 variable:1 jimbo:2 sides:1 structure:1 using:4 values:3 space:25 modules:13 4p:4 bb:7 equivalently:2 xbi:1 fact:2 xbj:1 n1:20 n2:16 resolution:1 |
0704.2465.txt |@word consider:1 rev:8 global:1 existing:1 four:3 scalar:4 edu:1 consists:2 dϕ2:1 hole:2 issues:1 gr:1 vev:5 preserves:4 concerned:1 finally:2 preserved:2 th:9 umich:1 must:3 worth:1 subtleties:1 mpg:1 string:1 straightforward:1 very:1 rise:1 spacetimes:2 choice:1 witten:2 exact:2 condition:3 zanelli:2 level:1 turns:1 solution:11 try:1 solved:1 convenience:1 vector:3 pakis:1 eigenvalues:2 jhep:1 work:3 periodicity:1 mi:1 direct:1 sign:1 matrices:1 zero:8 evaluated:1 theories:2 linear:1 index:1 appear:1 supermultiplet:1 find:3 contributes:1 method:1 3d:3 satisfy:2 full:1 gutowski:1 here:2 explore:1 olica:1 tangent:1 free:1 graviphoton:1 strong:1 equations:5 extreme:1 obtained:2 institute:1 study:1 vectors:1 experience:1 periodic:2 action:12 hospitality:1 spacetime:3 quotient:1 via:3 followed:2 total:1 planck:2 derivatives:2 use:1 usa:1 prove:1 covariant:1 positive:2 eφ:1 negative:2 next:2 m4:1 nucl:2 sitter:3 m3:6 type:2 more:3 flat:2 israel:1 coupled:5 under:2 banados:3 particular:2 known:3 cases:1 fermionic:2 mb:2 equation:3 fµν:5 iα1:3 cat:1 following:2 meet:1 cosmological:4 give:1 calculation:1 purposes:1 high:1 indicates:1 minimum:1 sense:1 keep:1 arbor:1 breitenlohner:1 conical:1 discussion:2 holds:1 how:1 nontrivial:1 answer:1 parameter:2 ibµ:1 product:1 express:1 singular:1 may:1 max:2 signature:1 singularities:1 produce:2 law:1 2l0:1 times:1 natural:1 effective:1 gimon:1 chern:6 yielding:1 diffeomorphism:1 ones:1 allow:1 order:2 gµν:4 hashimoto:1 indeed:1 pointed:1 stability:3 course:2 paper:2 including:1 same:1 mentioned:1 kinetic:1 agrees:1 its:5 fis:1 thank:1 interesting:2 masses:1 relativity:1 actually:1 verifies:1 unbounded:1 derivative:2 might:2 supersymmetry:9 non:4 motivated:1 combination:1 effects:1 half:3 now:3 nor:1 represents:1 term:3 dirac:3 2r:5 university:1 backgrounds:5 2g:1 l2:22 l0:12 l1:2 found:2 2i:1 spinor:4 energy:2 ef:1 conventions:1 extended:2 supersymmetries:4 our:2 eq:2 out:2 leave:1 shown:1 gomberoff:1 matrix:1 space:2 since:2 lagrangian:4 particles:2 suffices:1 takayanagi:1 theory:11 hull:1 ısica:1 departamento:1 puc:1 ask:2 hep:9 care:1 definition:1 geometry:1 could:2 linearized:2 motion:2 universidad:1 hence:1 think:1 first:2 origin:2 already:1 symmetry:1 done:1 another:1 precisely:1 angular:1 given:3 fondecyt:1 reference:1 needed:1 eqs:3 system:3 their:1 fermions:5 townsend:1 gives:1 shifted:1 shell:1 exactly:1 albert:1 immediate:1 part:2 third:1 require:1 second:1 matter:1 future:1 rarita:3 ann:1 mind:1 generalization:1 recover:1 tells:1 tiomno:1 strength:1 reall:1 studying:1 gravity:6 note:2 potential:4 take:1 santiago:1 though:1 algebraic:2 regular:1 germany:1 but:2 class:2 considered:1 principle:1 physics:1 fact:2 sector:5 δaµ:1 supported:1 barnich:2 golm:1 discovered:1 purely:1 gauge:4 solutions:3 subtle:1 trivial:1 d3:1 aρ:2 gravitationsphysik:1 ratio:1 parameters:4 fνρ:2 only:3 explicitly:1 black:9 factor:4 partially:1 local:1 abelian:1 means:1 michigan:1 de:5 expectation:1 cannot:1 words:1 dt:1 dr:1 ds:1 freedman:1 gauged:1 fields:6 arxiv:10 grav:1 acknowledgments:1 qc:1 aei:1 compere:2 riemannian:1 set:2 exists:2 harmark:1 see:3 radius:2 recently:1 dµ:5 eigenspinors:1 supergravity:12 between:1 invariant:2 neither:1 approach:1 discovery:1 terms:2 do:1 theisen:2 were:1 however:5 killing:4 analyzed:1 both:1 coussaert:1 identifications:3 connection:1 present:1 0e:1 potsdam:1 comment:1 cl:1 period:1 dimensional:13 grants:1 anti:1 unusual:1 extrema:1 described:1 transformations:3 addition:1 three:14 been:4 odel:11 asymptotics:1 arises:1 supersymmetric:11 antiperiodic:1 sectors:1 scrutiny:1 observe:1 chile:3 spin:3 former:1 standard:1 case:1 bρ:1 value:3 will:4 while:1 achucarro:1 evaluating:1 promising:1 procedure:1 real:5 studied:2 simons:6 metric:5 thus:7 chernsimons:1 teitelboim:2 ie:2 fermion:2 currents:1 containing:1 develop:1 eigenvalue:1 16πg:1 henneaux:3 complex:3 quant:1 φl:1 higher:2 independent:1 supercharge:1 used:1 trivially:1 hand:1 koehler:1 supercharges:1 ωµab:1 charges:1 nonetheless:1 well:1 analysis:1 solve:1 maxima:1 manifold:1 obtain:1 homogeneity:1 bµ:5 faraggi:2 multiplet:4 enters:1 soluble:1 ads:1 mansouri:1 similarities:1 point:1 thermodynamics:1 setting:2 goedel:1 lett:7 easy:1 ada:1 5d:1 nicolai:1 transformation:4 momentum:2 build:1 noether:3 iκ:1 easily:2 rules:2 multiplets:1 δbµ:1 five:2 background:12 vacuum:2 using:1 mod:1 like:3 should:2 reduces:1 arbitrary:2 therein:1 because:1 pontificia:1 gauntlett:1 some:4 specified:1 proper:1 antide:1 provided:2 dimensions:4 superfields:1 comments:1 does:1 nados:1 assuming:1 minimal:1 majorana:2 ba:1 γab:1 ensures:1 step:1 casilla:1 super:1 properties:5 would:3 extension:2 most:3 discussed:1 o:1 contains:3 maxwell:3 due:1 right:1 references:2 einstein:1 bosonic:5 spinors:1 institut:2 there:3 question:4 vaz:1 start:1 quadratic:1 bosons:1 analyze:2 was:3 form:1 jun:1 encodes:1 construction:1 aµ:7 coupling:2 whether:3 compactification:1 gravitational:1 variations:1 up:1 us:2 ur:1 assume:1 below:2 godel:1 reboucas:1 issue:1 eigenvector:1 detailed:2 constant:3 defined:3 abstract:1 general:1 globally:1 dν:1 corresponding:2 formalism:1 check:1 constructed:3 tedious:1 again:1 functions:1 no:3 schwinger:3 field:13 other:4 details:1 department:1 conclude:2 problems:1 variation:1 deriving:1 commutator:1 structure:2 implies:2 auxiliary:1 ieα:2 holes:7 dϕ:1 requires:1 original:2 |
0704.2466.txt |@word limited:3 concept:4 semantic:1 consider:2 represent:1 hint:2 lack:10 focus:5 invent:1 leads:4 skin:3 talks:1 mill:1 research:2 decisions:1 issues:4 seemed:1 depend:1 college:5 vacuous:1 description:3 rewarding:1 expelling:1 environment:1 answered:1 finally:1 certain:1 those:1 pless:2 under:5 must:11 likely:1 hill:1 case:10 woman:4 advantage:2 very:10 rise:2 choice:2 submitted:1 medicine:1 every:2 interpreting:1 decide:3 vastly:1 difference:2 categories:3 treating:1 four:2 indicate:1 progression:1 called:1 skills:1 companies:1 solution:1 fewer:1 try:3 small:1 speculation:1 shows:1 says:2 construed:3 consistent:1 fairness:3 direct:1 recruitment:1 second:1 evaluated:2 chen:1 patient:1 griggs:1 even:3 established:1 what:30 plays:1 invoking:1 section:3 current:2 experiment:1 causes:2 establishes:1 reply:1 contributes:2 ever:1 method:2 contrast:2 body:1 behavior:1 degree:2 men:1 here:3 understanding:1 met:1 groups:3 others:1 represented:3 ignore:1 quite:2 implicit:1 interpret:3 tilman:1 great:3 biodiversity:2 institute:1 employees:1 engineers:3 commonly:1 simply:5 social:3 action:9 opinion:8 history:1 makes:4 genuinely:2 love:1 family:1 apr:1 marginal:1 merely:3 outcomes:4 moral:2 logically:2 actions:1 total:2 establish:1 opponents:1 everybody:2 use:3 voices:1 russell:1 would:17 prove:6 sake:4 positive:3 nobel:1 few:1 doubt:1 therefore:1 scope:3 themselves:2 tell:1 marginally:1 more:18 introducing:1 knows:2 company:3 pipeline:1 validity:1 instrumental:12 particular:1 known:1 cases:2 hold:1 iii:4 potential:2 women:13 none:1 morally:2 word:2 concretely:3 science:10 believes:1 values:1 concepts:1 making:4 male:1 spontaneous:1 example:4 address:1 proof:5 claim:2 compare:1 wang:1 give:5 process:1 purposes:1 states:1 konrad:1 caused:1 something:12 want:1 justifications:1 conversely:1 species:1 absolute:1 compatible:1 needs:1 united:1 end:2 broadly:1 democracy:1 imre:1 rather:10 technological:1 six:1 write:1 till:1 reject:1 ordinary:1 begs:1 economy:2 product:1 minority:2 may:24 stop:1 waters:1 earlier:1 objectively:2 consequence:2 wrong:2 designed:1 countering:1 court:1 ethics:6 law:2 data:1 man:4 ambiguous:1 natural:1 light:1 goal:1 perform:1 ones:1 negligible:1 ultimate:1 things:1 representation:3 democratic:1 sg:1 talk:4 judgments:2 exclusive:1 numbers:1 indeed:4 pointed:4 wishing:1 soon:2 years:1 course:2 cambridge:3 through:1 innovative:1 argued:1 ieee:1 its:10 before:1 group:3 symmetry:8 how:3 personal:1 solving:1 expectations:1 actually:3 forms:1 complex:1 choose:1 undergraduate:1 fie:1 policy:11 decreased:1 factual:2 them:4 good:110 somebody:1 greater:4 was:1 amenable:1 introduce:1 nation:1 effects:1 they:20 realize:2 nor:2 name:1 cognition:1 university:3 identified:3 events:1 academic:2 reasonable:1 specific:4 found:2 difficult:1 friendship:1 side:8 mean:2 subset:1 female:12 weight:1 challenged:1 idea:6 related:3 challenges:1 society:5 literature:2 expect:1 reached:1 our:2 happen:1 beyond:2 sexual:6 tried:1 category:1 shown:1 clarity:1 actively:1 psychology:1 views:1 since:8 wholly:1 increase:10 imperative:1 papers:2 print:1 lecture:1 issue:1 she:2 intended:1 belief:1 given:1 workforce:4 reason:5 california:1 york:1 org:2 definition:1 enormous:1 benefits:2 could:8 descriptive:7 thing:1 american:1 hence:1 global:1 think:1 first:4 major:1 already:2 demonstrating:1 plainly:1 purport:1 bargaining:1 confuse:1 number:3 clear:2 done:1 another:2 impossible:2 ring:1 precisely:2 electronic:1 differ:1 necessarily:4 practitioners:1 attach:1 introduction:1 mcgraw:1 interact:1 recruiting:3 least:1 their:4 intermediate:1 compromise:1 too:1 statement:1 white:1 utmost:1 really:3 gives:1 lot:1 exactly:2 studies:1 discover:1 part:1 authors:3 norms:1 believe:1 representing:1 than:11 symptom:20 population:7 wide:1 kind:9 showed:2 princeton:2 isolation:1 summary:1 measured:1 depends:1 aims:1 matter:2 determined:2 supposed:6 historical:1 were:2 rationalization:1 treated:1 pre:1 deciding:1 cohen:2 mind:1 argument:14 affirmative:6 talking:2 say:7 unlikely:1 need:2 seen:2 seem:1 saw:2 any:13 concrete:1 latter:3 able:1 note:1 majority:2 empirically:4 materials:1 neither:3 objective:3 so:15 conducive:4 majors:1 sure:2 altered:1 though:1 arguing:2 who:8 most:7 said:2 but:25 significant:1 retaining:2 intrinsic:16 why:4 observation:1 consequences:3 considered:1 performances:1 medical:3 sometimes:1 disease:1 valuing:1 proceedings:1 artificially:1 mechanical:1 justify:5 physics:4 bulletin:1 fact:10 laws:1 precise:3 saying:1 show:4 random:1 sage:1 merit:1 justifies:1 purely:1 relation:1 inconsistent:1 participate:1 keywords:1 find:2 impact:1 access:2 based:9 knowledge:1 spite:1 title:1 explain:1 proportion:1 outside:1 supported:1 should:17 only:13 explicitly:2 believing:1 intrinsically:22 employee:1 over:1 achieve:1 meant:2 do:4 founding:1 invoke:2 means:9 dependent:1 overall:4 foremost:1 unimportant:1 cannot:21 competitive:2 altogether:1 bridge:3 disadvantage:1 him:2 campus:1 processes:1 increasing:6 girl:1 hiring:1 fields:1 seldom:3 arxiv:2 diversities:2 teams:4 twice:1 bad:9 common:2 proponents:1 london:1 finishing:1 favoring:1 valid:2 view:2 ethical:10 questions:2 intelligence:1 notice:3 sex:1 retention:1 culture:1 see:3 decided:1 sec:4 result:3 enhanced:1 yes:10 best:1 wonder:1 practice:1 invoked:1 capacity:1 ways:1 review:1 laureate:1 representatives:1 rejecting:1 favor:3 state:3 difficulties:1 various:2 between:4 drawn:1 justified:2 available:2 ends:1 never:1 terms:3 nature:5 importance:3 attention:1 weak:1 however:3 concentrate:1 distinguish:1 mcdowell:1 relying:1 paraphrasing:1 both:5 essentially:3 many:4 barely:1 according:2 agree:4 brac:1 etc:1 admit:1 harvard:1 workplace:2 context:3 pdf:2 argue:2 safely:1 comes:2 otherwise:1 arbitrarily:1 among:1 relevant:1 programmes:1 conclude:2 reasons:2 had:1 each:1 coexistence:1 anti:1 learning:2 underrepresented:1 moreover:4 prasad:1 basing:1 speak:2 considering:1 symptoms:2 mathieu:1 publishing:1 basis:1 bertrand:1 discrimination:3 inclusive:1 political:2 due:3 been:2 lopez:1 much:3 change:1 wulf:2 likewise:4 expected:3 ph:1 wants:1 faced:1 life:2 diversity:183 frontiers:1 indirect:2 reaction:1 baum:2 sufficient:3 dismiss:1 new:4 else:1 pringle:1 inconsistencies:1 understand:1 external:1 receive:1 careful:1 former:1 present:2 applied:1 conception:2 look:2 unlike:2 enrollment:9 value:3 choices:1 will:7 healthy:1 while:2 diverse:7 careers:1 policies:7 error:1 expertise:1 study:1 mistake:1 principia:1 annual:1 vi:1 thus:2 designs:2 iv:2 ii:5 itself:14 experience:1 claimed:1 motivated:1 rid:2 absurd:1 technology:1 increased:2 different:14 anymore:1 perhaps:1 pay:1 make:8 seeking:1 same:11 clearly:6 drawback:1 arguments:3 widely:2 grand:1 avoids:1 pai:1 several:1 composition:1 evidence:1 higher:3 independent:1 used:2 http:3 singapore:1 upon:3 effect:7 hand:3 average:1 student:2 mentions:1 consensus:2 judgment:3 identity:1 recent:1 narrow:1 matters:1 nevertheless:2 whole:2 variety:2 well:2 anybody:2 obviously:2 thought:1 person:1 directly:2 without:7 greatest:1 breaker:1 usual:2 stringent:1 facto:1 crosby:1 just:7 less:2 being:2 money:2 mistaken:5 unclear:1 rooms:1 human:2 summed:1 facts:2 alternative:1 yet:6 happiness:1 previous:1 instance:7 thinking:2 seems:5 regents:1 improvement:3 source:2 other:9 board:1 easy:1 prison:1 role:1 apart:2 smart:2 around:2 situation:1 online:2 results:1 possible:2 finding:1 cultural:2 five:1 know:6 performance:1 press:2 world:2 accepted:1 vague:1 color:2 prominent:1 necessary:3 like:4 systematically:1 seek:2 extremely:1 admitted:1 facing:1 communications:1 benefit:3 steps:1 either:1 arbitrary:3 edu:2 become:3 essential:1 www:1 because:7 often:4 people:10 absolutely:1 some:5 hair:3 table:2 racial:4 inapplicable:1 iyer:1 provided:2 lead:5 broad:1 philosopher:1 creative:2 everything:2 leap:1 does:8 assuming:1 refer:1 core:2 hammond:1 meanings:1 scientific:1 business:3 corn:2 lose:1 agreement:3 graduates:1 step:3 viewpoints:1 biases:2 irrational:1 inherent:1 properties:3 faith:1 about:6 actual:2 anything:3 getting:1 discussed:1 practical:1 mutually:1 magazine:1 misleading:2 act:4 mixed:2 insufficient:1 introduced:1 consequently:2 soc:1 own:3 into:1 bound:1 three:1 right:1 determine:2 mere:3 existed:1 rely:1 her:1 assumed:1 support:5 there:11 question:4 anderson:2 clinical:1 handbook:1 low:1 way:4 notices:1 decisive:2 equated:1 assumes:1 naturally:1 conference:2 form:4 amongst:1 principles:2 failure:1 neutral:4 promote:2 true:1 bradley:1 hire:1 made:1 applying:1 whether:7 wish:2 up:5 us:2 until:1 below:1 reflects:1 heterogeneous:2 problem:6 similar:2 beliefs:1 supreme:2 popularity:1 moore:1 computing:1 defined:2 stripped:2 universal:3 contribute:6 general:2 engineering:27 bakke:1 exist:3 goodness:2 journal:3 education:8 viewpoint:1 denying:2 nj:1 proofs:1 puzzling:1 no:19 agreeing:1 index:1 whereas:1 when:7 detail:1 invalid:1 conceptions:3 unambiguously:1 compares:1 better:2 tie:1 you:2 out:6 illusion:1 conclusion:3 star:1 separate:3 students:8 meaning:2 important:11 allowing:1 utterly:1 equitable:2 revolve:1 gap:1 presidential:1 needed:1 building:1 lane:2 correlated:1 assume:2 age:2 original:1 pitt:1 correlates:2 international:1 indirectly:5 |
0704.2467.txt |@word tsuda:1 s0:15 japan:2 words:1 sakai:1 show:8 hierarchy:3 tri:1 using:1 y2:4 four:3 representaion:1 paper:3 relation:6 s5:11 x3:4 d6:10 y0:7 y3:4 d5:17 d2:1 find:1 noumi:4 q1:4 whose:5 q3:4 q2:4 group:23 family:8 parameters:15 ty:1 notice:3 tw:6 affine:17 tr:1 tp:7 tq:10 2zw:4 h2:7 d4:1 explicitly:8 generators:5 systems:22 theorem:15 tr1:3 holomorphy:2 tr3:1 hamiltonians:2 transformation:6 yi:1 case:1 them:3 dynkin:4 groups:2 viewpoint:2 qp:17 propose:4 acklund:11 sixdimensional:1 introduce:2 cf:4 p1:4 five:1 dx:5 dy:7 2a5:1 dw:5 dt:34 dp:7 dq:7 yusuke:7 symbols:1 school:1 2w:2 2p:2 2q:6 y1:4 presented:1 follows:7 university:1 hamiltonian:39 2x:2 2y:3 2z:6 discrete:1 proposition:3 2xz:2 each:13 qi:1 drinfeld:2 rims:2 mathematical:1 weyl:17 zi:1 secondary:1 graduate:1 tokyo:3 ekvac:1 some:2 direct:3 dimensional:3 okamoto:1 b4:1 b5:14 painleve:7 w4:13 w3:4 w2:4 w1:4 respect:4 our:1 zw:4 theoretic:1 zq:6 special:1 will:3 satisfying:4 funkcial:1 w5:4 y5:4 section:6 since:1 2qp:2 its:6 2xy:6 written:4 proof:3 various:1 subjet:1 between:3 new:8 takano:2 d7:1 ri:5 math:4 discovery:1 satisfy:2 classification:1 submitted:2 q0:7 respectively:8 equivalent:6 jp:1 however:1 here:4 admits:5 sasano:13 formation:3 wi:1 key:1 wp:2 similarity:1 z5:4 q5:4 z0:7 z1:4 z2:4 q4:9 r4:4 diagram:4 remark:1 r0:4 r1:4 r2:5 r3:5 phrases:1 study:1 theorems:4 addition:3 a2:12 symplectic:9 comm:1 2x2:4 y4:7 first:4 origin:1 soc:1 yamada:5 wq:2 symmetry:18 apr:1 h3:7 variables:15 h1:14 integral:3 primary:1 h4:7 xz:2 z4:7 cy:1 xy:19 2a2:2 2a3:2 2a0:1 2a1:1 polynomial:14 moreover:1 consider:4 given:15 pq:7 checked:3 transformations:18 second:1 introduction:1 unknown:4 preprint:1 system:81 relations:1 reduction:1 arxiv:1 scription:1 change:7 vi:1 figure:5 pi:1 type:29 universal:3 choose:3 relationship:1 r5:4 organized:1 kokyuroku:2 2a4:1 assumption:3 hi:1 equations:4 mail:1 x2:6 yw:6 x0:13 x1:4 iii:16 present:2 x5:4 p2:13 p3:4 p0:7 tr2:2 folding:1 p4:7 p5:4 painlev:19 us:4 suzuki:1 aim:1 assume:4 manifolds:1 ms:1 following:2 trans:3 root:2 address:1 deg:4 references:1 symmetries:2 b2:1 ag:1 coupled:18 calculation:3 coincides:8 abstract:1 w0:9 sokolov:2 dl:1 ann:1 denote:5 characterize:1 ay:1 tends:4 lie:1 different:1 notation:1 no:1 s3:10 s2:10 s1:14 six:6 si:6 th1:1 s4:10 member:2 sciences:1 complex:8 make:4 becomes:7 xi:1 mathematics:1 parameter:7 ac:1 higher:1 extended:10 kinds:1 description:1 see:5 again:7 a1:22 a0:17 a3:8 birational:7 a5:17 a4:6 b6:1 komaba:1 qp2:2 types:10 x4:7 dynamical:1 third:1 considered:1 dτ:3 explicit:2 z3:4 order:1 de:1 yz:4 reflections:3 ku:1 coordinate:10 dz:5 dimension:5 |
0704.2468.txt |@word replacing:1 gr:31 results:14 hubeny:1 four:7 roy:1 scalar:9 computation:8 2n2:16 follow:1 expressions:4 denotes:1 2n1:2 whose:3 depend:2 calculate:8 charge:1 present:3 th:24 under:1 divergent:4 p2:1 supported:1 string:2 straightforward:2 frequencies:80 wave:8 cardoso:3 exact:12 condition:12 leads:4 dimen:1 zanelli:1 presented:2 did:1 tanh:2 solution:6 solved:1 vector:4 relation:2 commented:1 zl:2 jhep:2 employing:2 coordinate:4 findings:1 sukhatme:1 literature:1 cosh:3 approximation:1 zero:1 gn:3 invariant:1 cft:4 odd:12 theory:3 even:15 appear:1 brackets:1 dr1:2 section:5 brief:2 higuchi:1 agrees:1 3i:2 diaz:1 del:1 method:8 3d:4 satisfy:10 rarita:1 outgoing:6 respectively:1 here:5 reported:1 explore:2 ansatz:3 separation:1 address:1 equations:32 naylor:1 z2:5 obtained:3 search:1 increments:1 tortoise:1 study:11 studied:3 expression:10 mx:1 yoshida:2 superpotential:2 poisson:1 published:1 usually:1 khare:1 spacetime:47 york:1 oschl:3 useful:3 f1:19 apr:1 vii:1 ipn:1 while:3 wii:1 analyzing:1 ostapchuk:1 lima:1 tools:2 ishibashi:3 unit:1 use:8 takes:2 would:1 prove:3 distinct:1 handbook:1 negative:1 gibbons:3 sitter:80 call:1 therefore:9 type:11 refs:22 more:9 iis:1 becomes:2 nollert:1 corrected:1 odinger:5 curvature:2 appendix:7 known:6 cases:3 must:11 account:2 berti:1 ml:2 equation:17 work:1 mw:2 values:11 shankaranarayanan:1 already:14 fulfill:3 ness:1 example:3 mz:3 claim:1 f2:4 wang:1 cosmological:9 process:1 table:7 topic:1 sphere:1 numbers:2 partner:1 g1n:4 hod:1 end:1 notation:1 provide:1 discussion:2 holds:2 write:5 instead:1 ordinary:5 gordon:5 simplicity:1 may:1 signature:1 quasinormal:6 sni:1 xc2:1 wrong:1 produce:1 fn:3 changes:1 brady:1 effective:9 whenever:1 consequently:1 lines:2 su:1 so:1 sect:12 allow:1 lκ:1 order:2 restriction:1 produces:1 mainly:1 satisfied:1 stability:1 simplifies:2 dw:1 existence:2 satisfies:5 its:6 fis:1 rˆ:1 thank:1 curly:1 chosen:2 interesting:3 relativity:2 coordinates:4 gen:7 detected:1 stojkovic:2 systems:3 covered:1 main:2 defining:2 troncoso:1 ly:6 them:6 motivated:3 proca:1 investigated:1 2p:1 they:6 half:3 oxford:2 now:1 bernal:1 represents:4 february:1 finite:1 dirac:59 spacetimes:11 university:1 backgrounds:5 2z:2 realistic:1 filling:1 l2:6 mode:1 form5:1 radial:27 fω:14 2n:2 2i:2 em:3 differential:21 hypergeometric:11 reduce:5 related:4 konoplya:4 owing:1 static:4 expect:4 quantum:1 our:6 dωp:1 out:1 living:1 shown:1 furthermore:8 since:2 rev:27 research:3 attracted:1 morisawa:2 rel:8 rl:3 formula:14 ref:47 correct:1 math:2 shows:2 sinh2:3 linear:1 abramowitz:1 chandrasekhar:1 ısica:1 departamento:1 standard:1 kodama:3 complicated:2 term:3 spradlin:1 divergence:1 definition:1 r1:30 r2:16 impose:3 ds2:3 noted:5 motion:6 int:2 xc1:1 massive:23 universidad:1 hence:8 diminishes:1 first:12 origin:1 organize:1 features:2 manuscript:2 stevens:2 opez:6 variables:2 powerful:1 number:3 proofreading:1 ddimensional:4 another:2 motl:1 electronic:1 angular:3 given:10 cartesian:2 exists:1 introduction:1 eqs:13 behaves:1 system:15 their:1 2ωl:1 perturbations:11 constants:1 kanti:3 dt2:3 fˆi:3 exactly:5 park:1 assumption:1 part:2 believe:1 than:5 iωt:3 showed:5 to3:1 second:7 future:1 amplitude:1 were:4 3b:2 result:3 ang:1 contradict:1 spectrum:3 curved:1 any:2 zhidenko:2 depending:2 convenient:4 latter:1 note:7 potential:1 horowitz:1 take:4 objective:1 new:3 coincide:1 formulas:3 play:1 shall:1 consistency:1 compare:1 simplify:3 regular:6 propagate:2 pair:1 analytically:1 class:6 exico:4 calculated:10 sometimes:1 graphs:1 volovich:1 affirmed:1 quantity:9 show:5 grav:13 probe:1 purely:6 gauge:2 solutions:19 keywords:1 substituting:1 d2:6 find:23 partners:1 sional:1 knowledge:1 parameters:2 explain:1 should:1 only:6 explicitly:1 black:6 summarizing:1 constant:3 do:3 his:1 klein:5 get:9 de:83 cannot:4 dz:15 dx:7 dy:5 dv:2 applying:2 du:2 dr:4 ds:2 coth:1 following:6 sects:3 fields:24 arxiv:56 2b2:1 2b1:1 summary:1 qc:31 paper:5 fixed:1 choudhury:1 wrote:1 qn:75 set:7 computed:6 reference:6 publications:1 spherically:5 btz:1 observed:1 see:21 w2:2 bagnulo:1 chambers:1 hole:2 aros:1 tensor:2 fn1:3 erez:1 review:1 missing:1 santos:1 symmetric:6 written:2 disprove:1 between:2 limit:2 boundary:7 conditions:10 notice:9 recently:1 extend:1 sections:1 cinvestav:2 attention:1 however:2 lopez:1 last:1 cot:1 limits:1 many:1 taking:6 equal:16 isotropic:4 called:1 propagation:2 apdo:1 comment:1 ci:7 csch:3 sinh:5 point:1 simple:1 asymptotically:1 dutt:1 ingoing:2 dimensional:39 anti:1 polynomial:1 observatories:1 vasudevan:3 uchida:1 described:1 mathur:2 simplification:1 three:2 been:6 ai:8 reduction:1 much:1 change:1 interest:1 expected:1 schiappa:2 ph:1 choose:1 corresponding:1 quantities:9 scrutiny:1 assert:1 observe:2 c2:18 c1:59 spin:7 former:1 those:7 case:14 schmidt:1 pacs:1 near:7 conacyt:1 behavior:2 property:2 procedure:4 identical:1 leaver:2 strominger:1 coupled:2 vi:2 metric:8 thus:11 non:1 ii:14 characterize:1 im:15 susy:1 vy:2 different:23 arguments:1 make:5 lett:8 same:4 fˆ1:3 complex:4 quant:5 castillo:1 crispino:1 φi:1 several:5 infer:1 higher:1 independent:1 used:3 numerical:1 kokkotas:1 moving:12 kim:4 potentials:16 expand:1 recent:2 schr:5 modes:11 scenario:1 nevertheless:4 studies:1 seto:1 well:13 analysis:3 without:1 solve:2 sets:1 alfredo:1 dimension:3 usual:1 spherical:1 cosh2:5 being:1 generally:1 stegun:1 das:5 obtain:4 shape:1 birmingham:2 transforms:1 correspondences:2 world:1 facts:2 alternative:2 arctan:1 previous:15 adv:2 ads:2 conclusions:1 cornell:1 had:1 except:2 thermodynamics:2 transformed:1 teller:3 kubiznak:2 solvable:1 momentum:2 real:1 possible:1 steif:1 ciencias:1 background:12 press:1 integer:19 postal:1 moreover:1 mod:4 theor:4 imposed:1 helpful:1 follows:1 reduces:2 fernando:1 separately:1 flux:1 abdalla:2 exploiting:2 essential:1 making:2 therein:1 parity:1 because:5 methods:3 classical:7 some:8 oh:1 deduce:1 molina:1 examples:2 b2:16 asserted:3 happens:1 dimensions:15 lead:1 form2:1 electromagnetic:6 myung:3 2c1:2 2c2:1 does:1 linearly:1 prog:2 propagating:8 proc:1 branco:1 2b:1 kleingordon:1 each:1 bi:9 padmanabhan:1 found:6 imaginary:3 colima:3 properties:5 affirmation:1 simpler:1 integers:2 extending:1 dˆ:1 o:1 page:3 a2:5 horizon:8 slightly:3 gamma:1 ida:2 mathematical:5 soc:1 previously:3 into:5 due:1 martinez:1 appropriate:1 references:5 morse:4 cho:1 spinors:1 acknowledgements:1 hep:25 additional:1 there:3 question:1 lond:1 rosen:2 u2:1 facultad:1 saavedra:2 way:2 analyze:5 was:3 kunstatter:2 function:26 form:11 brane:1 but:4 neitzke:1 castello:1 true:1 xi:1 compute:3 whether:1 ωp:7 gravitational:12 fˆ2:3 us:1 below:1 frequency:1 simplifying:1 ωl:2 qnms:9 ωb:2 similar:7 agree:1 b1:61 fulfills:1 adopt:1 proved:1 ln:2 defined:12 abstract:1 describe:1 am:1 general:2 consulted:1 exist:2 supersymmetric:2 physical:4 functions:18 nk:1 eq:4 when:11 detail:4 schwinger:1 field:77 other:8 role:1 details:5 test:2 lemos:3 massless:48 frolov:3 briefly:1 siopsis:1 a1:48 important:1 additionally:1 variable:3 gap:1 n2:17 lm:1 coupling:2 using:14 holes:4 matsas:1 ortega:7 mass:5 fact:2 time:1 n1:19 4d:8 dover:1 ghosh:1 |
0704.2469.txt |@word represent:1 measurements:1 results:3 existing:1 edu:2 go:1 follow:1 oldest:1 hauschildt:6 synthetic:1 arcsec:2 inverse:1 basri:2 young:7 send:1 environment:1 must:1 lori:1 present:1 under:1 te:6 2mass:1 brown:13 keck:2 very:22 espacial:1 aware:1 difficult:2 cool:1 clouds:2 did:1 jhk:1 fragmentations:1 unrelated:1 announced:1 caltech:2 ejection:1 consistent:1 estimates:1 past:1 surrounding:1 likely:1 spectrograph:1 estimated:1 targets:1 universities:1 what:1 errors:1 appear:2 near:5 above:1 bonnell:1 full:1 dwarf:6 mec:2 whose:3 irac:6 even:2 iraf:1 reported:3 objects:14 separation:7 berkeley:2 ratio:1 november:3 strong:1 alto:2 bouvier:2 dusty:4 nextgen:1 suggests:2 published:1 formation:2 useful:1 secure:1 classification:1 apr:1 photometric:2 apj:14 total:3 select:1 use:1 takes:1 would:10 prove:2 forveille:2 faint:7 scenarios:2 few:3 camera:2 therefore:2 taken:3 survive:2 unexplored:1 stage:1 m9:1 theoretical:5 diagrams:1 caha:1 separated:1 comparison:2 binding:1 zinnecker:2 laeff:2 biller:1 cooperate:1 visual:14 particular:1 chauvin:2 kraus:5 include:3 science:2 challenge:1 values:2 cam:1 making:1 ın:2 stated:1 process:3 december:1 magnitudes:4 sample:1 indicates:1 minimum:1 caution:1 allowed:1 omega2000:1 counting:1 motion:1 clarke:2 chabrier:4 located:2 instead:1 mas:1 galactic:1 tried:2 spitzer:6 seds:1 may:1 derived:2 diagram:2 catalog:1 produce:1 mag:2 data:13 types:1 physical:2 effective:1 lines:1 correspond:1 spain:1 fundamental:1 caballero:6 lambda:4 order:2 micron:1 evolutionary:1 september:1 indeed:1 soon:1 years:1 paper:1 filters:1 existence:1 its:3 before:1 perfect:1 orionis:4 derive:3 group:1 probability:4 masses:4 late:1 fig:7 bouy:3 mail:3 alexander:1 might:5 them:1 usa:3 primary:2 band:1 they:6 optimal:1 mimicking:1 association:4 february:4 occasions:1 university:1 identified:1 l6:1 magnitude:3 l2:1 each:2 found:2 photometry:7 constraints:1 domain:2 telescope:3 energy:3 reduce:1 used:2 fraction:1 our:4 ring:1 es:19 out:2 borderline:1 quality:1 robert:1 since:4 projected:4 research:2 re:1 posteriori:1 supports:1 ri:1 red:3 common:1 foundation:1 interactions:1 fisica:1 standard:1 campaigns:1 completely:1 calder:5 california:1 imaging:1 members:5 estimate:2 hand:1 telescopes:1 could:1 membership:3 times:2 filter:1 place:1 massive:1 bromm:1 first:1 embryo:1 calar:2 initial:1 manuscript:1 martin:2 number:1 elamo:4 spanish:1 thick:1 open:4 angular:1 surveys:1 temperature:3 their:1 introduction:1 system:3 least:1 indicate:3 listed:1 luhman:3 white:2 molecular:1 delfosse:2 observations:1 dolan:4 collapse:2 turbulent:1 albert:1 optical:7 too:1 authors:1 on1:1 than:7 population:2 ivanov:3 observatory:1 unfortunately:1 ipac:2 favors:1 pc:1 aims:1 sed:2 letters:6 were:5 disprove:1 collecting:1 function:1 doyon:1 separations:3 spectrum:2 unlikely:1 dobbie:1 clearly:1 relatively:1 instrumentation:1 able:2 mid:1 mechanism:1 fitting:1 build:1 finding:3 so:1 accuracy:1 circles:2 spectral:7 multiple:2 arguing:1 goldman:1 object:11 systems:4 falls:1 wht:6 most:2 position:1 pair:4 alpha:1 acknowledgements:1 extremely:2 especially:1 nirspec:1 considered:1 later:1 deuterium:1 ks:3 substellar:3 fitted:1 padoan:2 planetary:9 particularly:1 12k:1 infrared:4 discovered:3 colors:2 find:1 believe:1 based:2 proposed:1 explain:2 distributed:1 brighter:1 only:5 black:1 circle:1 do:2 goes:1 wide:9 de:1 cannot:1 words:1 despite:1 report:1 during:2 baraffe:4 nordlund:2 secondary:1 luminosity:1 arxiv:1 iraf1:1 bad:1 predicted:3 artigau:2 cfht:4 view:3 barrado:20 motions:1 achieved:1 physically:1 national:2 astrometry:1 maximum:2 observed:1 see:5 individual:1 successive:1 operated:1 close:8 eres:3 lyon:1 probable:1 subsequent:1 complementary:1 enough:1 morales:5 tens:1 probably:2 discovery:1 available:1 recently:1 nature:2 however:1 marchal:1 hypothesis:2 key:1 contamination:1 analyzed:1 reipurth:2 come:1 pixels:1 allard:8 whitworth:2 both:7 widest:2 hillenbrand:4 equal:1 contract:1 requests:1 pre:1 color:4 had:1 nadeau:1 grants:1 simply:1 table:3 mathieu:4 three:4 been:5 mart:2 isochrone:5 much:3 combined:2 dangers:1 ph:5 dwarfs:7 faintness:1 aj:3 corresponding:3 formed:2 argument:1 tentative:1 clusters:1 those:1 case:1 multi:1 atmospheric:1 look:2 solid:2 bill:3 value:1 will:3 stauffer:4 real:2 schweitzer:1 almost:1 funded:1 ir:4 thus:1 helped:1 cluster:14 itself:1 ic:3 confident:1 lowresolution:1 binary:16 confirmed:1 l55:1 proto:1 belong:1 same:1 any:2 member:4 emphasize:1 several:2 higher:2 templates:1 calculation:1 literature:2 photoevaporation:1 jayawardhana:3 companion:6 isochrones:3 moving:1 lower:3 older:1 no:1 well:2 analysis:2 thought:1 lafreni:1 comparisons:1 binaries:9 bodies:1 latest:1 distances:1 just:2 less:2 being:2 half:1 obtain:1 previous:1 candidate:3 conclusions:2 oph:1 seems:2 laboratorio:1 5m:1 instrument:1 other:6 brandner:1 associations:3 tests:1 around:3 big:1 couple:1 possible:1 disrupted:1 press:5 using:5 moreover:1 statistical:1 ruled:1 consolider:1 navascu:19 signal:1 disks:1 cooler:1 imposes:1 either:3 fully:1 reasonably:1 therein:2 because:3 old:2 methods:1 sequence:1 madrid:1 plausible:1 observatories:1 images:2 vol:1 scale:1 confirm:1 companions:2 conservative:1 disk:1 tamanai:1 eso:1 freed:1 noise:1 equivalent:2 ingrid:4 agreement:1 arcsecond:1 stellar:3 host:1 although:2 noisy:1 collinder:6 about:7 actual:1 carried:1 es1:1 months:1 range:8 plus:1 slightly:1 seeing:1 bate:2 inta:2 burning:1 presence:1 previously:1 image:1 within:2 bound:1 due:2 appropriate:1 weather:1 references:3 uncertainties:2 additional:1 area:1 probabilistic:1 there:1 long:1 low:23 stars:8 astrophysics:1 was:3 lowest:1 mohanty:1 elsewhere:1 form:4 but:3 hu:5 astro:6 aperture:2 jup:10 hierarchical:1 delta:1 mnras:1 line:1 assl:1 fragmentation:3 october:4 applying:1 type:5 gravitational:1 up:1 us:2 below:4 limit:2 spectroscopy:1 distribution:1 beuzit:1 similar:1 agree:1 associated:1 abstract:1 myr:10 generating:1 deep:3 proper:2 au:9 periods:1 wavelength:1 distributions:1 triangles:1 inc:1 high:1 completeness:1 dotted:1 calibration:1 way:1 field:9 pasadena:1 onboard:1 department:1 revision:1 models:6 astrofisica:1 siegler:1 deriving:1 chance:1 important:3 included:1 astronomy:4 omega:1 offprint:1 l62:1 age:3 esp:1 mass:40 time:1 far:1 cores:1 resolution:1 |
0704.2470.txt |@word diss:1 consider:3 similarity:1 results:2 scalar:6 proposition:30 computation:2 edu:1 polydisc:4 disk:2 preserves:1 λin:6 equivalence:2 tr:14 young:4 containing:2 tn:2 program:1 preserved:1 th:1 ti:11 kgn:3 tb:1 norm:1 ta:2 conjecture:6 g2:4 kω:1 corollary:1 decide:2 entries:1 matrices:9 condition:1 dim:4 level:1 turns:1 solution:2 vector:3 eigenvalues:11 anal:1 gruyter:2 upper:3 work:1 semicontinuous:5 estimates:1 horn:2 second:3 gn:11 initialized:1 theory:2 even:2 stands:1 invertible:1 sum:1 version:2 above:6 new:4 exercise:1 satisfy:1 degree:2 κd:1 respectively:2 equals:2 desired:1 expansion:1 making:1 studia:1 equations:1 change:1 obtained:1 remark:3 commutant:2 institute:1 study:4 studied:3 contradiction:1 pick:14 domains:2 named:1 classification:1 apr:1 fejer:1 first:1 analyzing:1 pacific:1 unit:2 use:2 prove:8 remains:5 positive:2 contains:1 fej:1 france:1 few:1 therefore:4 m2:1 taken:2 more:3 bulgarian:1 submatrix:1 bercovici:1 eodory:4 berlin:1 appendix:1 particular:2 iii:12 must:2 ma:1 recall:5 equation:1 mn:26 det:5 infinitesimal:4 obvious:1 taut:3 following:11 wlodzimierz:8 trans:2 proof:21 stated:1 lωn:18 permutations:1 organized:1 minimum:1 numbers:1 conversely:2 respective:1 describes:1 s1:5 get:5 parameter:1 circular:1 map:4 product:2 blocks:1 algebra:1 replacing:1 max:8 after:1 mapping:12 minkowski:2 hence:5 fb:2 lω2:3 data:2 lifting:2 natural:2 third:1 sp:28 explicit:1 correspond:1 huang:1 extremal:1 cannot:1 so:11 definitions:1 order:3 holds:2 kbn:1 over:1 move:1 stability:1 royden:5 pascal:7 paper:2 london:2 existence:2 satisfies:2 its:8 find:1 ld:1 complicate:1 thank:1 chosen:1 picard:1 actually:1 squaring:1 verifies:1 choose:4 matematyki:1 mail:3 narbonne:1 maximal:2 non:5 maxλ:1 integral:2 bjj:2 they:2 identically:1 now:4 eigenvalue:1 equality:11 2s:2 always:3 university:3 possibilities:1 inequality:4 each:3 found:2 2n:2 uniwersytet:1 subset:4 domain:8 krak:1 fr:1 universit:1 operator:2 our:1 out:2 sabatier:1 matrix:22 space:1 restricted:1 since:12 research:1 rd:3 may:14 ajj:2 ajk:3 geom:1 kωn:4 reader:2 formula:1 blaschke:2 math:15 shows:3 linear:4 aˆj:2 associate:1 hull:1 discontinuity:7 standard:2 complicated:2 york:4 put:1 hand:5 e1:8 generate:1 emile:1 definition:4 geometry:2 phrases:1 route:1 hyperbolic:1 agler:3 turn:1 maximality:1 consequence:3 onto:1 strictly:2 first:11 toulouse:1 primary:1 rank:9 d22:1 1e1:1 done:1 directly:1 tannenbaum:1 open:1 given:9 similarly:1 introduction:1 arch:1 least:2 1a:1 their:1 quadratic:1 observations:1 holomorphic:1 academy:1 continuous:13 immediate:1 part:1 jordan:2 authors:2 completes:1 coefficients:2 distance:5 johnson:2 cyclic:2 see:10 pairwise:1 nikolai:7 spectra:1 footnote:1 well:1 ann:1 pass:1 spectrum:1 summing:1 say:3 need:2 any:13 symmetrized:7 zero:1 min:3 studying:1 note:9 sciences:1 k1:1 εn:5 take:1 εk:1 εj:7 coincide:2 spectral:27 cnrs:1 exactly:1 normal:1 metrics:2 most:2 involving:1 automorphism:1 appear:1 kg:1 kj:1 coincides:1 points:2 exp:1 section:4 fact:3 precise:1 thomas:8 phenomenon:2 show:4 supported:2 trivial:3 find:2 principal:1 ae1:1 based:1 spite:1 eigenspace:1 basel:1 enough:1 lemma:5 only:7 geodesics:1 columns:1 do:1 triangle:1 means:2 de:3 ones:1 words:1 ϕjk:2 during:1 aλ:4 secondary:1 determinants:1 bas:1 approach:1 arxiv:3 discs:1 wish:1 pang:1 implication:3 bulgaria:1 set:12 exists:1 modifications:1 topics:1 namely:1 radius:1 subject:1 inequalities:1 positivity:1 state:1 µn:1 closed:1 between:1 invariant:2 boundary:1 αj:2 conditions:3 counterexample:1 uj:1 however:1 job:2 key:1 amer:3 ker:3 c22:1 both:3 c21:1 last:1 σn:4 many:1 taking:1 equal:6 pl:1 expression:1 otherwise:1 comment:1 cn:23 cm:3 point:13 simple:1 address:3 cf:7 lg2:2 moreover:2 cv:3 considering:1 pp:1 basis:5 lempert:13 been:3 defined:3 reduction:1 much:1 ak:4 biholomorphic:1 corresponding:1 σj:3 propositions:2 analytic:1 observe:4 bull:1 those:2 case:5 tanh:2 ski:1 value:1 will:1 near:1 suppose:3 behavior:2 revisited:1 property:4 metric:3 thus:6 ii:9 im:1 ready:1 reymonta:1 different:3 d11:1 d12:1 grant:1 generic:1 things:1 make:1 belong:1 same:1 φa:5 complex:5 arguments:1 widely:1 largest:1 proved:1 higher:1 nik:1 ball:10 imply:2 laboratoire:1 functions:1 companion:7 identity:1 lower:2 poland:1 replace:1 analysis:4 obviously:1 academic:1 components:1 lim:2 coordinate:2 dimension:3 left:1 distances:2 αjj:1 λy:1 sofia:1 rest:3 λb:4 identify:1 transforms:1 λk:2 λj:4 paul:1 λn:9 nevanlinna:14 unique:1 preprint:1 density:1 conclude:2 tuples:1 extends:1 easy:3 theorem:10 complements:1 c12:1 c11:1 solvable:2 polon:1 zwonek:11 possible:1 press:3 immediately:1 nikolov:9 phenomena:1 semi:1 follows:9 reduces:2 serves:1 either:1 arbitrary:2 works:1 reduced:1 because:1 deal:1 some:4 polynomial:5 convex:2 proper:1 proofs:2 dense:3 dimensions:1 umr:1 eiθ:1 shall:8 does:5 kobayashi:10 assuming:2 proc:1 minimal:1 refer:2 bg:1 equivalent:8 bj:6 carath:5 informatics:1 properties:7 about:2 algebraic:1 column:2 discussed:1 o:23 page:1 melbourne:2 distinct:1 ow:1 considerations:1 soc:5 cambridge:4 statements:1 garnet:1 into:1 h1:1 bjk:2 lifted:1 hyperbolicity:1 acad:1 references:4 balanced:2 monomials:1 support:1 there:12 pa:2 author:1 way:2 was:3 function:25 eaj:1 complete:2 form:5 jagiellonian:1 bidisc:2 converse:3 but:1 failure:1 cedex:1 hi:3 hn:2 ha:1 true:1 iterates:2 october:1 whether:2 characteristic:3 us:1 d21:1 empty:1 ωn:39 problem:20 similar:3 called:3 taylor:1 associated:3 exhausted:1 ah:1 abstract:1 aj:30 am:1 denote:4 ap:4 exist:1 ay:1 lgn:17 inf:2 nj:1 no:1 when:3 other:6 becomes:1 mathematics:2 er:2 problems:2 polynomials:2 stay:1 a1:6 a0:8 generated:1 a2:1 bounded:3 lent:1 sides:1 foia:1 implies:6 assume:7 ranks:1 required:1 institutions:1 pseudometric:5 n2:2 |
0704.2471.txt |@word soliton:6 consider:2 induces:2 global:1 results:1 gx:6 leads:9 eds:1 proposition:9 computation:2 consists:1 expressions:1 compact:3 whose:2 preserves:2 inverse:7 referring:1 graph:5 technique:1 young:1 send:1 finally:2 rg:8 those:1 th:3 under:6 γc:56 crest:1 tc:35 norm:1 p2:9 conjecture:9 preserved:1 keeping:1 geometrical:3 balls:4 every:1 cellular:8 wjt:1 difference:5 condition:5 dim:1 school:1 riemann:1 level:1 sklyanin:1 solution:2 discrete:17 vector:1 section:1 quick:1 biological:1 zi:2 periodicity:1 jacobians:1 zg:5 speyer:1 zero:2 alent:1 further:1 dynamics:1 odd:2 theory:1 spectral:8 established:1 what:1 3x:2 trivial:1 assistance:1 y1a:6 y1b:4 polygonal:2 version:4 goes:1 fractional:2 new:1 christiansen:1 method:5 satisfy:2 outgoing:1 simultaneously:1 degree:1 λij:2 respectively:5 even:2 here:2 l21:2 l22:2 tangent:2 ansatz:2 separation:2 address:2 directions:1 path:3 along:2 equations:8 appears:1 interpret:1 calculate:2 box:9 remark:3 divisor:7 technical:1 shift:3 study:5 vectors:1 contradiction:3 ignoring:1 periodic:18 γr:4 principally:1 picg:3 quotient:1 composed:2 via:3 claim:2 plenum:1 wit:7 linearization:1 vit:10 apply:1 tomoyuki:1 use:2 feb:1 sj:2 prove:1 positive:1 contains:1 γi:3 next:2 automata:6 tc1:1 2y2:1 bethe:2 more:2 iit:11 logε:6 atg:2 becomes:3 operators:2 particular:5 known:2 cases:1 hold:4 iii:8 mg:1 isomorphism:4 tokyo:5 science:3 equation:4 det:13 nagai:1 infinitesimal:1 obvious:2 starts:1 following:15 primitive:2 example:4 proof:8 f1:2 f2:3 f3:2 f4:1 figure:7 mumford:1 states:1 indicates:2 ati:1 end:4 provide:2 s2:7 discussion:1 gathmann:1 write:5 how:1 acta:1 parameter:2 simplicity:3 elementarily:1 algebra:2 may:1 algebro:3 after:2 mapping:1 diagram:3 plane:3 lax:9 fg:4 fi:2 summarize:2 data:1 2cg:1 physical:1 dynamical:1 effective:1 lines:3 bunkyo:1 s3:6 complexity:1 so:2 fundamental:2 decreasing:1 representation:1 sg:1 s1:6 typical:1 help:1 over:1 move:3 satisfied:6 course:1 paper:3 through:1 y1:33 japan:6 satisfies:6 y2:31 its:6 exchange:1 equiv:1 lg:7 maps:2 fix:9 affine:2 gen:1 forms:1 lt:19 complex:1 systems:5 jacobi:6 clusters:1 kuniba:3 might:1 variables:1 correspondence:2 non:4 propose:3 fig:7 introduce:5 number:4 locus:1 smoothness:2 parallelograms:1 kirillov:2 university:3 hamiltonian:1 b3:14 2y:10 possibilities:1 properness:1 2g:1 l2:3 each:8 soc:2 subset:2 domain:2 ek:1 map:30 related:3 society:1 toda:14 ball:8 obtains:1 our:3 operation:1 conjectures:3 shown:2 matrix:8 solved:1 since:5 parallelogram:1 denotes:2 content:1 rei:1 at2:1 rational:1 at1:1 induced:2 math:9 shows:1 zharkov:1 i2:2 log2:1 linear:1 limε:2 clarify:2 reason:1 york:1 besides:1 put:1 e1:1 e3:1 e2:1 definition:6 pairs:1 r2:9 r3:3 geometry:7 phrases:1 omit:1 linearized:4 δij:1 promotion:1 first:4 there:1 bijection:6 relate:1 thereafter:1 faculty:1 xg:5 transform:1 2u2:1 spinning:1 xy:1 choose:5 another:3 array:3 bijectivity:1 fj:1 illustrate:1 given:15 marine:2 attach:1 introduction:1 system:12 construct:5 their:2 assumption:3 xit:4 scheme:1 hyperelliptic:9 speaking:1 gives:1 completed:1 continuous:3 part:5 parametrized:1 authors:1 x2:41 x3:8 translation:1 x1:48 varieties:1 polarized:1 submitted:1 limiting:2 inversely:2 elementary:1 determined:1 yi1:1 yi3:1 yi2:3 mink:1 sees:2 saitama:1 generality:4 i2t:1 spectrum:1 curves:6 tsujimoto:2 dash:1 say:1 need:1 rim:1 occupied:1 any:2 paths:2 min:39 check:2 studying:1 self:1 si:4 lij:1 converges:1 oriented:1 without:4 take:2 tokihiro:5 xi:20 clarifies:1 appreciates:1 kawaguchi:1 bilinear:1 molecule:1 z2:4 algebraic:3 nonlinear:2 entry:1 phase:4 future:1 class:8 kc:2 kb:3 ka:3 bt1:1 torus:4 coincides:1 z3:4 inoue:1 dodecahedron:1 points:5 refining:1 physics:1 notion:3 fact:1 quantity:2 show:6 vkt:1 supported:1 kerber:1 relation:1 solutions:3 d2:3 d3:3 parmentier:1 q1:45 q3:46 q2:52 q4:16 state:1 adler:1 lemma:12 only:3 explicitly:1 black:1 subsection:1 equipped:1 integrable:7 nucl:1 jac:3 means:1 dg:7 scientists:1 v1t:1 words:1 consecutive:5 reconstruct:1 boundary:1 takahashi:3 evolution:6 qt:5 conditions:2 arxiv:1 sturmfels:1 she:1 qg:15 characteristic:1 qi:17 tcj:1 qj:1 2p1:3 moduli:1 set:38 exists:1 2c:1 see:11 w4:1 w3:21 w2:46 w1:73 equip:1 recently:1 bti:1 αij:2 qti:9 nondegenerate:1 review:2 intending:1 definite:1 symmetric:2 written:1 difficulties:1 αg:2 between:4 αi:8 invariant:1 justified:1 αj:3 approach:1 αl:1 takagi:1 wg:24 mikhalkin:2 terms:1 jz:6 bt2:1 were:1 jp:2 however:2 wi:17 wj:6 key:2 recall:1 both:3 essentially:1 many:1 taking:1 etc:1 amoeba:1 iv:2 uc:5 genus:4 expression:1 combinatoric:1 otherwise:3 arbitrarily:1 among:1 ci:11 solving:2 co:1 point:3 overview:1 cg:41 cf:1 dimensional:2 simply:1 polynomial:2 most:2 commutative:1 piecewise:1 moerbeke:2 due:2 been:2 z1:3 tropical:42 pg:7 basic:1 ph:1 pi:7 bbs:3 ak:1 empty:2 define:19 corresponding:2 quantities:6 face:5 theorem:3 subspace:1 representative:1 ultradiscrete:3 mail:2 c2:11 c1:15 c0:31 spin:1 present:3 case:17 p3:2 p0:4 p1:25 tem:1 expanded:2 value:7 will:1 suppose:2 aij:1 aid:1 ultra:12 procedure:4 maximal:1 vg:1 vi:11 metric:7 vk:1 thus:7 them:2 semifield:2 ii:39 cluster:1 ik:1 ij:2 vt:2 dual:1 theta:1 technology:2 id:1 ig:2 grant:1 generic:9 corresponds:2 isomorphisms:1 same:3 intersecting:1 parts:1 finite:1 composition:1 clear:1 literature:1 yi:14 i1:6 blue:1 tops:1 hand:1 sys:1 kij:1 v2:2 edges:5 tc0:13 infinite:1 2u1:1 automaton:3 acknowledgement:1 onedimensional:1 no:2 well:1 roughly:1 obviously:1 concrete:2 edge:1 solve:3 sets:1 claims:1 audin:1 ikt:1 left:6 eilbeck:1 uniquely:2 being:1 resp:3 obtain:7 rest:1 λg:13 thanks:2 tci:7 hongo:1 λj:2 λi:6 scattering:1 note:4 overlapped:2 now:1 preprint:1 readers:1 pbbs:9 discuss:1 lattice:19 operator:3 setting:1 lett:3 easy:3 propositions:1 transformation:3 real:6 2c1:2 2p2:1 rev:1 loss:4 advances:1 jacobian:11 spanned:1 unveil:1 boxes:2 background:1 press:3 using:3 mod:1 reshetikhin:2 valent:2 follows:6 reduces:1 continue:1 steps:1 contradict:1 become:2 downward:1 nice:1 reduced:2 therein:1 right:3 2x:2 some:4 draw:1 b4:1 examples:2 b2:24 convex:2 small:1 2xi:2 scale:3 confirm:1 2c0:1 l11:2 l12:2 prop:1 roch:1 leftmost:2 2q2:1 bl:13 problems:1 equivalent:2 l1:3 bi:1 step:2 shifting:1 properties:1 jst:1 concretely:1 extending:1 y2a:4 y2b:4 basis:1 kerov:2 meaning:3 o:6 a2:42 plus:3 2ci:1 2x1:5 introduced:6 discretization:2 cambridge:1 image:7 h1:3 isomorphic:6 three:3 included:2 appropriate:1 references:2 enumerative:1 bijective:3 abel:2 vj:7 a3:25 van:2 log:3 initial:9 u1:4 depicted:1 u2:4 way:3 αk:1 slopes:2 translate:1 was:2 form:3 latex:1 attempted:1 weight:3 back:1 construction:2 injection:3 true:2 divisors:1 ultradiscretization:1 applying:2 ut:4 smooth:3 us:1 until:1 v1:2 limit:20 sum:1 ud:27 problem:7 2y1:1 called:3 eigenvector:13 b1:23 ac:2 ab:1 proved:2 ag:3 defined:5 flow:1 abstract:1 aj:1 moved:1 general:3 conserved:8 imai:1 moves:2 ιs:2 defines:2 satsuma:3 functions:2 polygon:1 variety:3 when:14 graduate:1 application:1 other:2 department:1 mathematics:1 conclusion:1 rt:7 briefly:1 denote:1 ku:2 hirota:2 vertex:2 bilinearly:1 a1:46 ξj:1 ξk:3 variable:1 ξe:2 structure:2 max:2 assume:8 space:8 curve:24 oa2:2 oa1:2 time:8 original:1 once:1 |
0704.2472.txt |@word req:1 sci:2 consider:1 remarkable:2 lagrangian:1 forbidden:1 global:2 desirable:1 results:8 four:1 eds:2 scalar:3 contains:2 computation:5 consists:2 gl:14 contributions:2 yankielowicz:1 gh:2 devoted:1 dimensionality:1 depend:6 dα1:3 dα2:1 obstructions:1 disposal:1 tr:5 contained:1 dxµ1:2 answered:1 uniqueness:1 those:1 th:23 under:6 fermionic:1 tyutin:2 kν:5 kσ:2 case:4 conjecture:1 rαβ:3 tαβ:2 very:3 rise:4 none:1 gover:1 mν:2 witten:2 every:1 summarized:1 exact:1 condition:18 riemann:3 presented:1 suffices:1 notes:1 henri:1 list:1 solution:11 dxµp:1 µp:1 van:1 progress:1 gρµ:2 indices:5 relation:5 semidirect:1 noted:3 gerlach:1 dαk:4 enjoy:1 correct:2 mn:1 houches:1 concise:1 ρm:1 consistent:1 q1n:2 rouet:2 combination:1 fradkin:1 becchi:2 plenum:2 mitter:1 incidentally:1 writing:2 cft:3 ρn:1 odd:1 reina:1 linear:5 even:4 will:3 what:2 zinn:1 plays:2 appear:2 invertible:2 brackets:1 giving:1 sum:3 contracted:2 transforms:1 expressed:1 find:1 annals:3 poles:1 above:3 alexakis:1 new:4 subtracting:3 method:2 themselves:1 bastianelli:1 body:1 deser:4 gµ:1 full:1 degree:32 respectively:2 component:5 here:3 understanding:2 b2n:3 inverse:1 tangent:1 groups:1 others:1 path:1 along:3 equations:11 appears:1 change:1 fkln:3 obtained:12 admits:1 antisymmetric:1 noticeable:1 c2n:1 study:1 studied:1 leaving:2 dewitt:1 products:3 tseytlin:1 suggestion:1 action:10 spacetime:8 lowers:1 appropriately:4 via:2 useful:3 cν:1 diffeomorphisms:6 bonora:2 apr:1 maldacena:1 replace:1 dxν:3 topological:1 anomalies:41 counts:1 total:26 tools:1 apg:1 linearly:1 renormalization:2 derivatives:6 use:2 lecture:1 proceed:2 would:6 cohomological:10 covariant:12 determining:2 pedagogical:1 next:1 classically:2 nucl:7 therefore:3 h1n:1 taken:2 generators:5 exhaustive:1 type:15 theoretical:2 more:3 flat:4 bqp:3 initiated:1 brings:2 dxµ:8 factor:3 curvature:5 berlin:1 en1:2 rigid:1 far:1 particular:3 known:5 hold:1 iii:1 must:13 account:2 valued:1 coefficient:2 integrating:1 unessential:1 recall:1 equation:6 work:4 det:1 theories:9 values:2 cal:2 following:6 example:1 proof:4 annalen:1 duff:3 gµρ:2 transition:1 νp:8 do:3 process:2 expanding:1 allowed:1 ηn:2 belonging:1 dependence:3 involve:1 numbers:1 arise:1 νm:1 counting:1 νi:2 regularization:4 provide:2 means:2 necessary:1 pure:3 maximal:1 ensure:1 parameter:1 priori:2 oz:1 product:1 rept:3 doable:1 algebra:21 may:2 suppose:1 after:2 derived:1 φr:7 applications:1 levi:4 justin:1 inst:1 cambridge:3 representations:1 summarize:1 derives:1 constants:1 ooguri:1 aα:3 realized:2 short:1 dα:1 effective:2 higgs:1 chern:2 lines:2 correspond:1 introducing:1 cosmology:1 diffeomorphism:7 greek:1 cannot:1 so:15 sl:1 subsequently:1 order:8 gµν:30 sd:8 petkou:1 restriction:1 helv:1 played:1 words:2 enter:1 indeed:5 over:2 rˆoles:1 displayed:1 raised:1 years:1 symbols:2 course:2 paper:2 through:1 statistical:2 dw:1 satisfies:2 still:2 avenue:1 its:4 before:2 nieuwenhuizen:1 τm:1 group:1 christoffel:1 la:4 ln:2 lo:1 solving:1 encapsulated:1 actually:1 forms:20 resort:1 absence:1 degrees:3 lp:1 listing:1 derivative:4 hidden:1 dxσ:4 setting:3 dxρ:7 τq:1 correspondence:2 symmetrization:1 non:17 usa:2 cocycles:1 seeking:1 gets:1 dxβ:2 dxα:2 2p:2 subtraction:1 they:3 acta:1 oxford:1 now:3 developments:1 continuum:1 rµ:2 term:15 holographic:1 cotton:3 2k:1 always:2 university:1 classified:1 φm:6 possibilities:1 gµ1:4 fields:12 found:8 universit:1 side:1 raises:1 lie:18 lectures:3 differential:16 weight:2 cα:3 ed:1 reduce:1 related:1 used:2 interplay:1 amsterdam:1 quantum:9 our:2 ghosts:6 out:2 shown:2 superscripts:1 αr:1 space:18 restricted:1 furthermore:3 since:8 relate:1 denotes:1 reformulate:1 acting:1 emerged:1 denoted:3 formula:2 mielke:1 issue:1 integrated:1 independence:1 shows:3 tracelessness:1 classification:1 theory:11 kµα:3 µνi:6 free:1 ex:9 νr:1 completely:2 complicated:2 york:2 dx:45 birrell:1 ask:1 similitudes:1 asi:1 monographs:2 carg:2 shortest:2 definition:4 enormous:1 chiral:8 geometry:2 hainaut:1 could:3 conformally:4 times:2 turn:1 iff:1 hence:4 βm:3 linearized:1 eqs:1 first:4 origin:1 already:1 features:1 jhep:3 pn0:4 powerful:1 number:12 transform:2 done:1 relations:1 another:2 schwimmer:4 precisely:1 commun:2 given:13 neeman:1 f1n:1 similarly:1 introduction:2 top:5 henningson:1 system:2 unspecified:1 henneaux:4 their:6 attack:1 assumption:2 manifolds:1 expand:1 kµ:5 ramusino:1 stora:7 scheme:2 gives:7 dρ:3 recursively:1 rejected:1 direct:2 part:12 because:15 too:1 somewhat:1 authors:2 translation:1 specify:1 connections:6 kind:1 unsch:2 holland:1 showed:2 erdmenger:2 imply:2 project:1 matter:4 boulanger:4 determined:3 contrary:1 sole:1 were:2 providing:1 powers:1 decompose:3 ra1:1 generality:2 survives:2 sw:28 ann:1 ram:1 argument:1 capper:1 curved:4 element:2 apparently:1 any:5 reintroduce:1 symmetrized:4 decomposing:2 gρν:1 strength:2 built:1 zero:5 depending:1 latter:4 mills:7 gravity:1 note:1 instance:1 potential:1 square:1 generalized:6 analogy:1 davies:1 uniting:1 kibble:1 subscripts:1 trace:3 price:1 object:1 most:5 satisfying:2 an1:21 preliminary:1 nothing:1 inserted:1 class:7 charg:1 commutation:1 give:3 discarding:1 international:1 later:2 spend:1 imbimbo:1 yang:6 physics:7 away:2 fact:3 precise:1 thomas:2 lebedev:1 grav:4 µq:2 supported:1 barnich:4 functionals:2 discovered:1 purely:8 λp:2 gauge:15 solutions:8 civita:4 twoform:2 trivial:23 indicate:1 help:2 completion:1 ni:1 finally:1 extending:1 series:2 explain:1 αc:2 start:1 should:1 only:12 explicitly:4 candidates:1 summarizing:1 rich:1 postulated:1 µi:2 constant:5 isham:1 local:26 pointed:1 dn:6 abelian:7 scientifique:1 fnrs:1 notation:2 di:1 dg:2 lehmann:1 de:5 θk:1 ones:2 ϕi:7 champ:1 despite:1 boils:1 compute:2 du:2 bardeen:1 typos:1 kα:1 densities:2 approach:2 reductive:2 arxiv:26 remove:2 acknowledgments:1 book:1 qc:1 redefined:1 µ2p:6 contain:1 ph:2 inside:2 thanks:2 riemannian:1 satisfy:2 set:3 modulo:1 computed:3 exists:1 ricci:1 differentials:2 thereby:1 observed:1 depends:1 result:1 dragon:1 discussions:2 terms:15 dµ:3 springer:1 brst:6 subject:2 αp:1 fails:1 gravitation:1 tensor:19 coboundaries:1 pattern:1 review:2 theisen:2 definite:1 supergravity:1 µm:1 written:3 µn:4 various:1 closed:1 between:4 invariant:22 αk:3 conditions:8 αn:6 adv:2 reiterate:1 latin:1 recently:2 august:1 anti:1 nature:1 spindel:1 bµ1:1 however:7 killing:1 vanishing:2 hypothesis:2 highlight:1 wz:11 thank:2 suggested:2 received:1 essentially:1 osborn:4 last:1 2n:1 σm:2 many:4 taking:7 conclusions:1 according:2 constructed:1 quantization:1 mathematical:1 connection:2 les:1 mons:2 context:2 casimir:1 contribution:4 gr:1 expression:4 finds:1 otherwise:5 comment:1 among:1 relevant:1 cappelli:1 conclude:2 appeared:2 cohomology:15 corresponds:1 poly:1 gµn:4 dimensional:6 cochains:1 math:9 clash:1 respect:4 throughout:1 bertlmann:1 descents:2 torsion:1 considering:1 pp:2 transformations:5 second:3 basis:1 addition:1 reducing:1 locally:2 thanked:1 three:2 wess:6 tensors:15 exhausted:1 much:1 evenness:1 mars:1 expected:1 featuring:1 algebras:1 anomaly:26 questioned:1 nuovo:1 ϑp:1 rather:1 corresponding:7 cotta:1 commutes:1 baum:1 concerning:2 natl:2 subspace:2 hits:2 manvelyan:3 gap:1 lift:1 determination:2 external:1 systematic:2 denote:3 irrelevant:1 present:6 applied:2 look:3 invariants:2 defining:1 appearance:1 trick:1 while:4 proves:1 replaced:2 ally:1 shift:1 wesszumino:1 exist:3 gubser:1 property:1 conformal:13 shortened:1 redefinitions:1 changed:1 simons:2 metric:10 thus:5 them:3 iv:1 ii:8 reads:3 cocycle:2 nomial:1 exterior:5 ready:1 mod:1 fonds:1 different:3 formalism:1 descent:26 perform:1 graham:1 belong:2 lett:7 same:2 clearly:1 φa:3 unity:3 parts:4 schematic:1 proved:3 finite:2 composition:1 consequence:1 higher:2 independent:5 zumino:10 literature:1 see:8 trivially:2 sums:1 upon:2 generalizes:1 gα:3 hand:2 gβµ:1 purpose:1 potentials:1 invariance:4 passing:1 identity:3 recent:1 renormalisation:1 off:1 coste:1 pµ:6 well:3 analysis:1 coboundary:1 without:3 solve:4 consistency:15 coordinate:1 position:1 model:1 dimension:6 comprise:1 usual:2 returns:1 wω:2 manifold:2 evy:1 being:3 mensions:1 reviewed:1 press:3 mρσ:1 uct:1 correspondance:1 antifields:1 world:1 followed:1 yet:2 nicolas:1 adding:1 ads:3 candidate:8 density:5 mµν:5 similarities:1 had:1 except:3 bp1:2 rµνρσ:1 rˆole:3 nato:1 treatment:1 easy:1 theorem:6 formal:1 remaining:1 euler:3 take:2 constructions:1 gαβ:3 loss:2 read:2 couple:1 decomposed:1 posed:1 possible:3 topology:1 cf:2 hehl:1 know:3 rµν:1 belgium:3 using:8 sume:1 unique:3 decomposes:4 apart:1 counterterm:1 appearing:1 like:2 particle:1 systematically:1 follows:2 interestingly:1 translates:1 0s:1 imposes:1 yields:2 integrals:2 arbitrary:6 dµp:1 simply:2 works:5 soft:3 reduces:1 therein:2 undifferentiated:4 acad:3 methods:1 classical:1 people:1 attacking:1 pioneering:1 back:1 polynomial:1 deduce:1 b1:3 table:4 small:1 proofs:1 separately:1 combinaison:1 dimensions:7 lead:1 confirm:2 univ:1 cρ:3 σk:1 comments:1 ese:2 does:4 decomposition:7 unit:2 provides:3 σq:2 prod:1 proc:2 gν:1 minimal:1 refer:1 inserting:2 pr:1 run:1 obey:2 power:1 bm:3 each:1 continuing:1 bi:1 expansion:2 kreuzer:1 pasti:1 clarendon:1 step:2 display:1 bp:13 bq:13 br:1 2m:2 losing:1 relating:1 possesses:4 super:1 entirely:2 takes:2 about:1 pα:1 central:2 carried:1 rederived:1 completing:1 triviality:1 meaning:1 o:1 pν:2 compatible:1 recalling:1 plus:2 obeys:1 act:1 efforts:1 introduced:1 slightly:2 explicit:1 considerations:2 primitive:2 contractions:3 letters:2 ecanique:1 computes:1 presence:1 previously:1 informed:1 into:12 within:1 integral:2 isomorphic:3 εa1:1 down:1 bruxelles:1 appropriate:1 weyl:50 references:5 been:4 determine:3 ηp:3 operator:5 proportional:1 imposed:1 gσν:1 kαβ:1 rely:1 hep:22 monomials:1 aharony:1 recherche:1 strictly:1 loi:1 question:3 antifield:1 occupy:1 accordingly:2 encouragements:1 way:1 crucially:1 analyze:1 was:13 assumes:1 lowest:2 ghost:21 head:1 north:1 complete:1 form:42 some:6 differences:1 independently:1 but:4 contract:1 construction:1 russian:1 line:1 ρj:1 considerable:1 again:1 made:2 applying:1 whether:4 gravitational:3 emie:1 up:6 us:5 tell:1 ωi:1 αm:9 limit:2 uk:3 demonstrate:1 problem:5 piece:4 similar:2 called:8 ωf:2 mechanics:1 skenderis:1 associated:4 computing:2 defined:1 am:1 general:20 single:1 dν:3 right:1 formulation:2 partly:1 explains:1 dβ:2 poincar:1 fill:1 grassmann:1 functions:2 compared:2 cim:1 nn:8 no:6 whereas:2 nc:3 when:5 vanishes:1 field:9 other:9 mathematics:1 theor:1 operators:1 nw:3 elements:2 kinds:1 symbol:5 become:2 polynomials:1 mccrea:1 generated:5 important:5 moreover:1 needed:1 structure:12 brandt:5 ago:1 relativity:1 algebraic:9 implies:1 algorithm:2 assume:2 starting:2 bottom:5 dσ:1 together:3 having:3 eor:1 time:1 recherches:1 n1:5 n2:1 requires:2 strings:1 representative:1 |
0704.2473.txt |@word secondly:1 concept:2 partial:1 consider:2 caused:1 results:3 existing:9 leads:5 discreteness:1 scalar:1 entropy:4 petrova:2 ptr:1 causes:1 row:2 whose:3 fronts:1 depend:3 paris:1 acting:1 charge:1 indicate:1 manifolds:2 under:5 analogous:1 include:1 eikonal:1 deforming:4 rise:1 geometrical:4 electron:4 noninvariant:1 emphasized:2 exact:19 condition:4 accompanying:4 turns:5 discrete:1 vector:1 indices:1 gauge:7 noted:1 solutions:2 force:5 oscillation:1 measurable:1 second:11 masson:1 dynamics:1 expressions:3 substitute:1 theory:20 established:1 what:6 appear:2 apparatus:1 section:2 urss:1 near:1 availability:2 sequential:4 inertial:3 contrast:1 degree:40 respectively:2 here:6 atoms:1 ranges:1 desired:2 objects:4 others:4 xβ:1 along:3 xα:2 equations:45 appears:6 obtained:31 property:1 clarendon:1 involved:1 vectors:1 action:6 changes:2 involves:2 named:2 transformations:23 classification:2 apr:1 neutrons:1 names:3 translational:1 summation:1 neutrino:2 total:3 establish:1 bra:1 derivatives:5 proceed:1 would:3 covariant:3 msu:1 next:1 approach:1 therefore:1 taken:2 type:4 reflects:2 more:2 duality:5 initial:1 operators:2 odinger:1 curvature:1 appendix:2 particular:1 known:2 foundations:2 conditioned:5 producing:1 must:4 nondifferentiable:2 account:5 rotational:1 defines:3 integrating:4 equation:19 fµν:2 protons:1 theories:37 fock:1 values:3 following:5 example:6 control:1 exterior:66 process:12 table:5 numbers:1 degenerate:14 sought:1 unmeasurable:2 rather:2 get:3 formations:3 how:1 varies:1 answer:1 explains:1 oscillatory:1 de:1 description:1 may:2 thermodynamic:1 after:1 derived:2 containing:1 reflect:1 waves:1 verified:1 wave:5 types:2 realized:13 nonidentity:3 dynamical:1 third:3 noncommutativity:5 correspond:17 su:1 cosmology:1 ones:9 so:5 allow:2 evolutionary:76 over:1 satisfied:1 paper:3 london:1 mentioned:1 existence:2 its:2 discloses:1 group:1 la:2 relativity:1 coordinates:2 forms:75 degrees:10 systems:34 mail:1 deformation:1 correspondence:2 them:1 combination:1 origination:1 material:74 dxβ:1 introduce:3 graviton:1 hamilton:2 they:8 oxford:1 rotation:2 now:1 possess:4 term:8 dirac:1 twofold:1 parameter:3 university:1 presented:5 advent:1 accompanied:1 side:6 spinor:1 domain:1 differential:60 generation:9 energy:14 principles:6 related:2 manifests:1 constitute:2 frames:1 obtains:1 quantum:4 relates:3 transitions:1 out:5 shown:17 unclosed:5 space:5 integrates:1 since:12 particles:13 laid:1 formula:1 integrated:1 math:1 shows:1 disclose:2 linear:7 interactions:8 given:3 governing:1 reason:1 generate:1 temperature:2 interaction:10 derivation:1 created:3 geometry:1 transition:5 cosmic:2 turn:1 place:1 hence:6 onto:1 interact:1 first:13 origin:1 already:1 features:2 symmetry:1 relate:2 conjugacy:1 number:4 peculiarity:3 gases:1 another:3 precisely:1 angular:3 cannot:6 law:10 exists:2 similarly:1 introduction:1 bologna:1 eqs:1 system:38 relations:8 their:7 conservation:79 realization:2 structures:22 gives:2 moscow:3 continuous:7 serve:1 inexact:14 manifestation:1 translation:1 theorie:1 specify:2 pulsations:1 namely:12 interrelated:1 were:2 wheeler:1 enables:4 russia:1 result:1 symmetries:21 dθ2:1 manner:2 any:2 lie:3 strength:1 built:1 zero:10 latter:1 mechanism:2 lit:1 ideal:1 internal:5 take:5 forming:1 schematically:1 heisenberg:1 added:1 shall:1 object:7 firstly:1 connected:23 why:1 interacting:3 constructed:1 clear:1 dimension:6 points:12 electrons:1 velocity:2 charged:1 physics:3 fact:11 quantity:9 show:2 nonidentical:23 connect:1 spaces:1 relation:81 inconsistent:2 analogue:1 find:2 postulates:1 aσ:2 based:8 knowledge:1 parameters:2 commutators:1 state:27 should:3 only:8 going:1 convoluted:1 local:1 equilibrium:5 meant:1 do:1 means:11 express:1 stop:1 fluid:1 aα:5 aβ:6 nonequilibrium:8 words:1 during:2 dt:5 aν:2 ds:3 differentiating:3 closure:9 processes:11 resolve:1 fields:56 arxiv:1 coord:3 deuteron:1 reveals:1 set:1 reference:5 frame:4 differentials:2 turbulent:1 observed:1 mutator:1 depends:3 differentiable:2 analog:2 surfaces:1 gravitation:3 tensor:5 nondegenerate:6 distinctive:2 functionals:2 symmetric:21 written:8 closed:71 between:13 invariant:6 conditions:18 terms:2 nature:1 importance:1 weak:2 however:4 tolman:1 vanishing:2 answers:1 holds:2 observable:1 last:2 many:1 taking:1 equal:5 connection:12 manifestations:1 passing:1 argue:1 expression:6 relevant:2 had:4 corresponds:7 proton:3 lagrange:1 wider:1 respect:3 torsion:2 light:2 described:5 commutative:1 basis:9 addition:1 trajectory:3 skew:20 locally:5 due:3 been:9 much:1 basic:1 pj:1 ph:1 define:4 θk:9 generating:2 enable:1 corresponding:12 quantities:10 formed:4 gas:2 covariance:1 noncommutative:2 understand:1 external:6 derivative:3 former:1 present:3 case:8 conception:2 unlike:1 spontaneously:1 will:9 while:1 formatting:1 replaced:1 dqj:1 behavior:1 skewsymmetric:1 balance:36 identical:15 les:1 characteristics:7 metric:8 thus:7 dxν:1 according:1 itself:3 converts:2 dual:24 conserve:1 different:4 develop:1 author:1 media:16 same:1 connectedness:1 gets:1 neutron:2 used:3 see:6 trajectories:3 mutual:1 hand:9 usually:1 dxα:2 invariance:1 contribution:1 schr:1 charges:1 com:1 no:1 well:6 analysis:1 concrete:1 peculiarities:3 without:1 components:5 coordinate:1 possesses:2 left:4 unified:2 manifold:13 just:4 being:4 obtain:2 actions:4 assigned:1 sources:1 questions:2 yet:1 enters:2 clark:1 density:2 regarded:2 character:1 exclusively:1 thermodynamics:1 valid:1 conjugated:1 structural:1 transformation:7 momentum:11 real:3 quarks:1 read:1 possible:4 interior:5 press:1 using:1 emergence:5 unique:1 meaning:1 pseudostructure:17 theor:1 necessary:1 like:6 particle:3 follows:2 specific:2 either:2 become:1 nucleons:1 reduced:2 mathematical:4 right:4 methods:1 vortices:1 some:5 cs:1 examples:4 specified:1 nonzero:6 describing:4 dimensions:3 lead:4 bottom:1 electromagnetic:3 normal:1 integration:1 conservative:10 everything:1 does:2 demonstrated:3 pressure:2 properties:20 takes:2 deriving:1 about:1 actual:2 freedom:4 dependence:1 nonvanishing:1 remains:1 obeys:2 dθk:1 consequently:1 mast:1 specifies:4 conserving:1 maxwell:1 into:14 integral:1 functional:8 recognize:1 appropriate:1 because:3 references:1 determine:2 einstein:3 elementary:2 kαβ:4 there:7 specifically:1 accordingly:1 describes:6 quanta:1 strong:2 analyze:1 was:5 function:8 underlines:1 form:133 phenomena:1 but:5 repeated:1 aµ:5 justify:1 russian:2 entered:1 made:6 coefficients:5 evident:5 gravitational:2 up:7 us:3 placed:1 below:5 those:4 uk:1 fluctuations:1 similar:2 called:2 poincare:1 mechanics:5 defined:9 certain:1 abstract:1 describe:14 direction:3 general:6 dξ:5 conserved:1 proves:6 exist:1 governed:2 formalism:1 physical:78 functions:6 compared:1 variety:1 when:2 vanishes:3 field:52 other:5 role:3 papers:1 tech:1 massless:2 dxµ:1 conclusion:1 elements:8 energetic:2 photon:2 problems:1 variation:7 includes:7 a1:4 commutator:19 generated:2 sides:1 structure:8 building:1 dψ:8 dω:3 dπ:11 implied:1 mass:4 time:10 recalled:1 laws:70 original:1 |
0704.2476.txt |@word consider:5 similarity:4 y2:5 four:7 proposition:6 whose:6 tz:4 tx:1 ty:2 tw:1 tp:1 tq:1 manifolds:2 degeneration:2 hamiltonian:37 t4:2 t2:2 t3:2 t1:2 discrete:1 ekvac:2 direct:4 painleve:7 zw:9 aim:1 appear:2 section:6 tohoku:1 above:2 new:10 journal:2 satisfy:2 respectively:7 here:6 groups:2 z4:5 equations:4 z1:9 z2:5 z3:5 obtained:1 remark:3 study:1 studied:1 masuda:1 deg:4 tsuda:1 yamada:6 useful:1 family:10 univ:1 would:1 contains:1 nagoya:2 calculation:4 type:39 sokolov:6 operators:2 normalized:1 iii:22 tx2:2 recall:1 work:1 2yz:3 following:4 trans:4 root:3 proof:3 figure:5 give:1 process:2 organized:1 notation:5 painlev:21 s3:15 s2:18 s1:17 s0:16 formations:1 s4:16 how:1 parameter:10 description:3 may:1 after:1 diagram:4 types:8 dynamical:1 succeeded:1 explicit:7 cascade:1 si:7 so:1 representation:1 order:1 dx:6 hierarchy:7 soon:1 symbols:1 course:1 paper:4 thesis:1 y1:13 japan:1 y3:5 still:1 its:10 group:28 thank:1 affine:19 translation:2 2zw:8 systems:29 defining:1 them:2 propose:2 acklund:16 introduce:4 yx:5 they:1 yusuke:7 2w:2 tonian:1 presented:2 2x:2 2y:2 2z:6 each:10 weyl:19 our:4 tried:1 space:1 since:1 denotes:1 formula:1 ri:6 math:5 admits:6 formation:3 r4:5 r0:5 r1:7 r2:7 r3:5 phrases:1 first:4 origin:1 symmetry:19 variables:17 dynkin:4 xz:6 2a4:1 xy:8 2a2:2 2a3:1 2a0:1 2a1:1 kobe:1 open:2 given:17 checked:4 introduction:1 unknown:4 system:86 assumption:3 master:1 scription:1 relationship:1 proving:1 x2:7 x3:5 x0:5 x1:7 x4:5 second:2 submitted:2 were:1 symmetries:2 ann:1 w0:9 seek:1 lie:1 εt:5 converges:1 note:1 rossman:1 coincide:2 chart:1 confluence:2 algebraic:1 birational:8 phase:1 class:1 funkcial:2 considered:1 coincides:9 reflections:3 hamil:1 noumi:5 show:3 representaion:1 relation:7 solutions:2 d6:1 d7:1 d4:26 d5:17 find:4 parameters:19 explicitly:6 generators:5 holomorphy:1 hamiltonians:1 do:1 his:1 dh:1 de:1 dz:6 words:1 dy:6 dw:6 dt:26 dp:2 dq:2 qp:2 processes:1 coalescence:1 arxiv:1 w5:5 w4:7 w3:10 w2:7 w1:11 y0:5 discussions:1 theoretic:1 satisfying:5 y4:5 written:5 various:2 between:2 αi:1 takano:4 conditions:1 discovery:2 meromorphic:1 notice:3 wd:2 however:3 wi:1 comm:1 key:1 wz:5 folding:1 symplectic:10 cf:5 dimensional:2 sakai:1 polynomial:16 moreover:4 described:2 transformations:20 addition:2 z0:5 three:2 been:1 reduction:4 change:8 abstract:1 choose:4 determinant:1 present:2 will:1 coupled:21 vi:2 different:2 author:1 make:5 member:2 complex:9 extended:6 see:8 acknowledgement:1 coordinate:10 dimension:4 subgroup:1 obtain:1 drinfeld:6 classification:1 had:1 easy:1 theorem:15 transformation:10 fuji:4 using:1 like:1 follows:7 integrals:1 works:1 some:1 okamoto:1 b4:26 b6:1 respect:5 2xy:8 2xz:2 subjet:1 tends:5 2xw:1 equivalent:3 sasano:9 theorems:5 act:1 2x2:6 soc:1 integral:1 references:1 there:1 question:2 suzuki:1 hv:4 hb:4 hd:18 he:1 whether:2 us:6 define:2 ag:1 defined:1 universal:4 denote:4 viewpoint:2 again:7 no:1 becomes:7 mathematics:1 kinds:3 symbol:1 a1:21 a0:17 a3:9 a2:11 a4:17 vein:1 independently:1 hiii:6 assume:5 |
0704.2477.txt |@word aoki:1 limited:3 monte:2 partial:2 consider:10 φn1:1 similarity:7 rev:30 magnetic:1 hiyama:1 results:20 wiringa:1 hamaguchi:1 leads:1 rapid:1 quadrature:1 computation:3 ǫm:2 types:1 perturbations:1 research:1 issues:1 φn2:1 whose:5 dimensionality:1 depend:1 calculate:1 winther:1 graph:1 technique:4 corrections:1 environment:1 according:1 confinement:1 matlab:1 excluded:6 under:3 stochastic:1 analogous:1 circumstances:1 osnes:1 resources:2 ingredient:2 case:16 wished:1 jensen:3 advantage:1 orthogonal:5 far:2 rise:1 martinez:1 wave:14 prog:5 electron:2 replaces:1 worst:1 ln:2 exact:24 conserved:1 treating:1 entire:1 differentiated:1 hamiltonian:68 ausler:2 nucl:1 applicable:3 cma:1 large:11 tang:1 insights:1 offering:1 math:5 brevity:1 small:11 eigenvalues:21 shows:2 utsuno:1 straight:1 degeneracy:2 application:3 smaller:1 force:1 exposed:1 consistent:1 coefficient:3 direct:5 literature:1 approximation:7 rate:7 evaluated:1 incidentally:1 further:7 estimated:1 carlo:2 linear:3 spectral:7 index:1 xψ:1 curse:1 ˆt:2 eigenproblem:2 giving:2 section:3 selected:2 near:2 kuo:1 en:4 above:6 destroyed:1 new:10 increasing:3 method:45 manybody:1 body:29 full:4 kamada:1 stance:2 exchange:1 respectively:5 never:1 spacing:2 lem:1 here:14 diagonal:1 behaviour:4 desired:1 decay:30 separation:1 address:2 alone:2 consideration:1 strong:1 equations:2 change:6 obtained:2 great:2 antisymmetric:5 weinstein:1 dickhoff:1 splitting:1 study:4 larger:3 allows:1 completely:2 significantly:1 p2:1 amount:1 base:1 products:2 situations:1 usually:2 complicated:2 fourier:1 studies:6 plotted:1 composed:1 via:2 useful:1 projection:1 danger:2 apr:1 hermite:20 merely:1 explained:2 magnitude:3 replace:4 limn:2 sgn:1 viz:10 apply:5 rarely:1 circumvent:1 manninen:1 select:1 derivatives:1 use:6 takes:1 would:4 prove:1 distinct:1 positive:1 contains:4 nonnegligible:1 properties:13 few:1 depicted:1 disregarding:1 ψn:4 therefore:5 criteria:1 taken:2 nonpotential:1 themselves:1 panel:1 achieving:1 diagrams:1 more:9 separated:1 successful:1 neglected:3 operators:2 benchmark:1 nmax:33 long:1 everywhere:4 normalized:3 koonin:1 particular:2 known:4 actual:1 cases:1 iii:6 dot:9 must:3 obeying:1 springer:2 include:2 word:1 recall:2 points:2 work:2 oscillator:17 peeters:2 theories:3 reproduce:1 obvious:1 lindgren:1 following:4 hansen:1 example:6 performed:2 beautiful:1 nearest:1 compare:2 weaker:1 renormalization:1 give:2 calculation:3 desktop:1 permutations:2 organized:1 webb:1 imamura:1 states:8 indicates:2 caution:1 numbers:6 want:2 sense:6 jauregui:1 spanning:1 distinguishable:1 presently:1 hawrylak:2 practical:3 needs:1 feynman:1 end:1 decaying:3 provide:2 oslo:4 discussion:1 means:2 berlin:2 feature:1 write:2 very:10 hjorth:3 behave:1 instead:1 white:1 axis:3 parameter:4 priori:1 pieper:1 r2n:1 product:2 blocks:1 mat:2 includes:1 singular:1 may:6 max:1 ladder:1 philosophy:1 derived:1 different:6 mota:1 applications:3 modest:2 produce:2 improving:1 choice:4 concentrating:1 constants:1 stress:1 short:3 natural:1 laux:1 effective:42 light:1 spectra:1 yielding:2 think:1 their:1 perhaps:1 complexity:3 extrapolation:1 green:2 fundamental:1 morten:1 increase:1 order:5 restricted:1 typical:3 xj:1 least:1 aforementioned:1 produces:1 excludes:1 indeed:11 pointed:1 altogether:1 displayed:3 discretization:1 interpreted:1 symbols:1 course:2 experiments:11 through:3 gould:1 left:7 mentioned:2 still:3 its:8 diagonalized:1 machine:1 kramer:2 rapidly:3 la:1 chosen:4 φnk:1 dubois:1 striking:1 complex:2 coordinates:10 actually:1 late:1 estimating:3 absence:1 offers:1 degrees:2 choose:6 total:2 derivative:5 main:1 norway:2 setting:1 overcome:1 outside:1 versus:1 symmetrization:3 non:15 good:1 pauli:2 combination:2 severely:1 hψ:1 jørgensen:1 largest:1 operator:6 reflected:1 mention:2 effects:1 they:6 twoparticle:1 trade:1 multidimensional:1 now:5 kumar:1 discuss:3 wiley:1 jump:2 february:1 several:1 name:1 by9:1 quicker:1 university:2 2x:7 identified:1 φm:2 orthonormal:3 realistic:2 2f:1 x21:1 l2:4 trap:12 reasonable:1 each:5 disregard:2 accounts:1 2n:8 difficult:1 2j:2 mean:1 el:1 domain:2 differential:2 successively:2 another:2 derivation:1 simplicity:3 series:4 energy:24 reduce:1 gaussian:2 deficiency:1 ormand:1 decays:5 expect:4 measure:1 quantum:33 our:11 approximated:4 pinedo:1 eq:8 council:1 out:1 divincenzo:1 shown:3 dominates:1 matrix:16 space:41 quality:1 furthermore:1 since:5 crucial:2 projected:1 denotes:1 particles:12 acting:2 dominated:1 performs:1 formula:1 illustrate:1 ref:3 rj:7 rk:4 unambiguous:1 after:3 theory:10 interactions:17 piecuch:1 discontinuity:2 differ:2 gesztesy:1 quite:1 bednarek:1 manifestly:1 approaches:1 necessarily:1 advantages:2 term:2 qh:1 van:2 estimate:3 generate:2 xie:1 pairs:1 interaction:60 r1:6 r2:8 created:2 geometry:1 could:3 omit:2 success:1 times:4 motion:1 turn:4 plane:1 place:1 exponentially:2 refinements:1 hence:9 generalizations:3 top:1 first:6 separable:10 xk:2 journal:2 smoother:1 xn:1 simply:4 xm:1 cavazzoni:1 variables:2 number:10 contour:1 intuitively:6 employing:1 simplified:1 relations:1 directly:2 calculational:1 xp:3 electronic:4 papenbrock:1 size:1 interchange:1 given:19 perturbation:13 sadly:1 exists:1 similarly:3 introduction:7 leading:1 eqs:1 unduly:1 system:6 construct:1 indicate:3 assumption:2 rates:1 fermions:1 calculations:14 superscript:1 show:1 restrictions:1 siam:1 scheme:3 challenge:1 gives:5 holomorphic:2 e0:3 shell:1 statement:1 asymmetric:4 estimates:1 exactly:4 nonsmooth:1 employ:1 sx:3 needed:1 too:1 somewhat:2 authors:1 x2:34 x1:16 than:6 coefficients:23 neck:1 wide:1 variational:2 reason:3 reuse:1 double:6 require:1 zero:2 determination:1 systematical:1 germany:2 str:1 were:3 bare:3 tion:1 thereby:2 treated:1 result:1 function:22 addressing:1 sp:3 symmetries:5 bad:1 strengthen:1 ann:1 alongside:1 mind:1 argument:2 randomly:1 ψeff:1 emphasizing:1 conjugate:1 need:2 seen:5 seem:1 ledoux:2 any:9 viewed:1 symmetrized:1 strength:1 boyd:2 depending:1 studying:1 self:1 atil:5 converges:1 note:4 instance:3 potential:25 square:4 build:1 duke:1 finding:1 so:10 outlook:2 strengths:1 mit:1 eff:20 tensor:1 creffield:1 even:13 continuous:1 allow:1 centre:9 bruce:2 twodimensional:1 systems:6 wells:1 firstly:1 errors:1 ibid:1 ht:2 significant:3 successive:1 information:2 analytically:1 extremely:2 class:1 eigenfunctions:26 nieminen:2 consequences:1 considered:2 clear:6 numerically:1 dimension:3 graphs:1 properly:2 electrons:2 principle:4 exp:9 parenthesis:1 χn:5 χm:3 usual:2 physics:11 sum:4 fact:7 dover:1 slope:2 incorporate:1 rayleigh:4 supported:1 converge:5 notations:1 implying:2 spaces:3 relation:1 otsuka:1 superimposed:2 subtle:1 mapping:1 trivial:1 find:2 ground:31 caurier:1 slow:2 based:3 just:2 parameters:1 much:3 poves:1 distributed:1 enough:1 should:3 analytic:2 only:14 explicitly:1 implemented:1 screening:1 integrable:4 equally:1 hamiltonians:3 pudliner:1 over:2 hope:2 dn:3 do:6 insight:1 legendre:1 get:1 vary:2 bear:1 gour:1 next:1 pandharipande:1 cannot:2 nearly:1 dx:4 invariant:2 combinations:1 hermitian:1 sions:1 commence:1 becomes:1 areas:2 acm:1 conclusion:1 settings:2 fields:2 arxiv:1 expansions:2 yield:4 coincidence:1 garcia:1 investigate:1 europhys:1 common:4 ωp:2 unfeasible:1 nα:3 fixed:1 approximations:1 view:1 kernel:1 set:3 computed:3 reference:3 achieved:1 mori:1 correlations:2 respect:4 lett:5 relative:7 argued:1 see:7 computer:1 sec:11 changes:2 york:2 forthcoming:1 acts:1 techniques:1 embodying:2 ritz:4 nuclear:7 consequence:2 yet:1 symmetric:9 steffens:1 state:29 various:3 between:6 conceptual:1 complications:1 justified:1 before:2 approach:12 x22:1 available:2 stern:1 notice:1 viviani:1 terms:7 creating:1 unperturbed:2 nature:5 importance:3 confusion:2 bartlett:1 focus:1 however:13 willing:1 reproduces:1 concentrate:1 comm:1 key:1 analyzed:1 article:6 configuration:13 valid:1 improve:3 σk:2 both:5 collaborators:1 repeating:1 resides:1 tractable:1 many:24 taking:1 infinitely:2 vanishing:1 comment:1 kievsky:1 energies:5 connection:1 dated:1 interesting:3 distinction:1 contribution:1 argue:1 jersey:1 otherwise:2 arbitrarily:1 among:1 ci:27 perturbative:1 blaizot:1 cn:26 ossler:1 conclude:1 simple:7 reconstructs:1 harmonic:17 expectations:1 dimensional:31 distinguish:1 pole:1 anti:2 moreover:6 rep:2 ae:1 speak:1 considering:1 better:1 second:2 basis:24 addition:1 create:1 due:14 been:2 screened:1 int:2 reduction:1 hille:2 slowly:3 treat:4 equation:3 basic:2 expected:1 transformed:3 barrett:3 fig:17 dots:14 digits:2 enable:1 controlled:2 commutes:2 concerning:1 coherence:1 subspace:1 remark:2 modelling:1 ordering:1 eigenpairs:1 understand:2 uio:1 systematic:2 essentially:1 kicks:1 c2:1 spin:2 former:2 those:1 applied:2 multi:1 p1:3 look:1 pacs:1 solid:1 reliable:2 resummation:2 ǫn:5 value:3 easier:1 will:17 euclidean:1 while:14 separability:1 behavior:1 error:41 situation:1 property:1 leaves:1 procedure:2 graphed:1 eimθ:1 unitary:2 harju:3 coupled:3 almost:7 molecular:1 refs:1 simulations:3 thus:9 szafran:1 iv:3 ii:3 cluster:3 reads:2 cond:1 zuker:1 nogga:1 comparative:1 vital:1 vanish:1 around:4 capture:1 containing:1 decoupling:2 because:1 projector:1 perform:2 make:1 eigenvalue:4 accomplished:1 same:6 clearly:9 carlson:1 parts:2 changed:1 daele:2 widely:3 propose:1 modification:3 algorithm:1 finite:4 grows:3 φn:29 higher:2 development:1 odd:1 used:13 numerical:17 hand:3 norwegian:1 compared:1 potentials:5 infinite:2 expand:1 built:1 numbered:1 weakly:1 gauss:1 scenario:1 makes:2 no:5 well:23 analysis:3 peculiarities:1 without:3 solve:3 eigenvectors:11 components:3 easily:1 coordinate:13 iafrate:1 model:38 chemistry:1 arising:1 latter:1 charged:1 gates:1 routinely:2 proposed:1 less:2 being:3 nd:3 accurate:6 identically:1 obtain:11 valuable:1 atomic:1 integer:1 facts:1 regardless:1 hess:1 scattering:1 eigenstates:1 jefferson:1 adding:1 cut:4 secondly:1 lebesgue:1 field:1 koskinen:1 ease:1 point:4 character:3 reimann:1 density:2 improvement:3 mathematically:1 lets:1 unambiguously:1 extends:1 treatment:2 easy:2 diagonalization:14 extensive:1 mod:3 solvable:2 transformation:8 real:3 rosati:1 aspects:1 eigenfunction:1 represents:1 showing:1 ceperley:1 possible:4 spanned:1 cf:1 converged:1 know:4 fits:1 destroy:1 press:1 using:18 part:6 poses:1 motivating:1 apart:2 loss:1 nucleons:1 like:4 particle:23 sizes:1 systematically:1 follows:1 reduces:3 performing:1 langanke:1 δn:1 communications:1 yields:5 arbitrary:2 popular:1 become:2 accuracy:3 essential:3 smoothness:3 mathematical:1 ripka:1 exceed:1 right:6 dean:2 often:1 deal:1 truncated:1 successfully:1 some:6 okamoto:4 alternatively:1 onto:3 examples:1 choosing:1 specified:1 proper:2 vanden:2 extended:1 neglecting:1 diagonalizing:1 nonzero:1 provided:1 scale:8 dimensions:6 2e:1 poorly:1 armed:1 though:3 integration:1 per:1 aronszajn:1 models:2 maksym:4 does:1 doublewell:1 provides:2 assuming:1 stressed:1 moderate:5 demonstrated:1 refer:1 regain:1 destroys:1 claimed:1 radial:2 scientific:2 power:2 plot:2 uniformly:1 equivalent:2 wavefunctions:1 expansion:4 restrictive:1 olsen:1 although:2 explicitely:1 plots:1 approximating:1 refers:1 hilbert:10 eψ:1 gained:1 comparison:2 about:6 pointwise:4 central:1 hampers:2 world:1 most:3 row:1 freedom:2 mizusaki:1 discussed:2 assertion:1 o:56 simulation:3 αx2:2 range:5 helgaker:1 rontani:1 bounded:2 comp:2 introduced:2 slightly:1 block:2 software:1 considerations:1 perturbed:4 cambridge:1 inclusion:1 orders:1 into:4 within:1 integral:1 bound:1 usa:4 three:6 modifying:1 perturbing:1 schemes:1 ˆi:3 strip:1 approximately:1 proportional:1 quickly:2 methods:17 behaving:1 gen:3 span:1 additional:1 vˆ:3 shells:2 assumed:3 there:4 question:1 approximate:1 specifically:1 why:1 width:2 restricts:1 conservation:1 low:3 way:4 artanh:1 pf:1 granados:1 was:5 suzuki:10 morrison:1 lowest:2 considerably:1 complete:3 form:3 believe:1 ψm:3 denoting:1 but:7 idea:1 construction:1 hn:4 gain:4 estimation:1 convergence:27 line:1 algebraically:1 true:1 considerable:2 he:2 extend:1 made:1 compute:3 qualitative:1 goldoni:1 ωq:2 wish:6 smooth:20 up:2 us:6 theoretical:1 below:1 navr:5 limit:4 korkusinski:2 demonstrate:3 problem:16 define:2 similar:2 called:7 kamimura:1 distance:1 what:1 ab:1 associated:1 spectrally:2 computing:6 defined:11 curve:1 abstract:1 ez:2 condition:2 analoguous:1 general:7 tˆ:7 single:9 physica:2 formulation:1 understanding:1 corresponding:5 kurasov:1 happen:1 sarkar:1 again:1 functions:37 nk:3 differentiable:4 varga:2 ingredients:2 amounts:3 nowacki:1 when:9 detail:2 tight:1 badly:2 other:10 quick:1 spatial:7 department:1 mathematics:1 ωφn:2 theor:4 shimizu:1 sufficient:4 weak:3 observable:1 gaining:1 polar:2 elements:4 kowalski:1 condens:1 initio:1 mechanical:1 problems:7 chem:2 polynomials:2 precision:4 deriving:1 meaning:1 important:8 nucleus:1 allowing:1 suited:2 vectors:2 qω:1 wealth:1 n2:2 structure:9 constant:2 algebraic:3 implies:1 faster:4 coulomb:10 assume:4 values:3 rather:2 interacting:1 having:1 investigated:1 observe:7 mass:8 lying:1 time:4 n1:2 nuclei:1 starting:2 original:6 |
0704.2478.txt |@word partial:1 consider:13 similarity:2 results:3 four:16 proposition:11 3a2:1 3a1:1 gi:2 whose:8 soci:1 tz:5 tx:7 ty:9 paris:2 tw:8 ede:1 tq:4 finally:1 under:9 include:1 norm:1 degeneration:1 p2:6 g4:2 g3:2 g2:2 g1:2 erale:6 deformations:1 condition:2 notations:1 z18:1 hamiltonian:56 t6:2 z17:1 t4:2 t5:2 t2:3 solution:4 z10:1 t1:5 vector:4 phase:2 rj:4 small:2 rk:1 ups:1 still:1 force:1 zi:7 zj:4 zk:3 ekvac:3 direct:7 painleve:17 zw:39 odd:1 analogue:1 canonical:11 even:1 established:1 nonlinear:4 funkcial:3 giving:1 annali:1 section:14 brief:1 expressed:1 version:3 en:6 sur:8 above:4 sup:4 new:18 method:1 satisfy:10 degree:5 respectively:8 erieur:3 here:19 les:6 z8:1 z9:1 groups:5 others:2 z4:28 z5:16 z6:3 z7:2 z0:9 z1:20 z2:8 z3:26 obtained:2 remark:9 trans:3 divisor:5 algebra:1 technical:1 study:3 garnier:3 binomial:1 y19:1 y18:1 poisson:2 y15:13 y14:1 y17:1 proof:8 y11:1 y10:1 y13:1 y12:1 via:1 family:11 aimed:1 should:1 figure:14 prove:2 contains:4 next:2 calculation:7 tα2:2 type:68 diagrams:3 loci:4 ecole:1 sokolov:2 operators:2 kokyuroku:2 appendix:1 particular:2 known:4 cases:1 effort:1 must:1 recall:2 equation:9 des:4 tohoku:1 bureau:1 2yz:3 codimension:3 following:22 dec:1 root:4 example:4 deg:8 f0:1 f1:1 f2:1 f3:1 f4:1 f5:1 f6:1 give:5 process:8 preserving:1 organized:1 assumptions:2 z24:1 z23:1 notation:9 painlev:54 z20:1 s3:25 s2:21 s1:32 acts:1 s6:20 s5:19 s4:28 how:2 w24:1 w22:1 w23:1 fourth:5 w21:1 answer:1 acta:3 ordinary:6 parameter:16 product:1 tried:1 singular:13 after:1 singularities:2 diagram:14 fi:11 summarize:3 types:14 z22:1 natural:1 z21:1 nouvelles:1 classe:1 explicit:5 correspond:1 rather:1 si:8 so:5 verify:1 representation:5 order:26 xj:4 s0:24 dx:10 hierarchy:4 kyoto:1 ordre:7 soon:1 y9:1 course:1 paper:4 y1:24 existence:1 satisfies:2 y2:10 y5:21 its:11 roots:1 y6:3 x21:1 group:45 emoire:1 affine:35 coordinates:1 2zw:7 systems:68 covered:2 main:2 yi:10 them:5 yj:4 motivated:1 w20:1 w5:17 entire:1 integral:2 acklund:22 iii:1 yz:12 they:1 singularity:7 now:7 yw:3 yusuke:17 2a6:1 2w:1 x0:4 presented:1 2x:4 2y:1 2z:6 x18:1 z16:1 2a5:2 each:23 x10:1 found:1 x12:1 x13:1 x14:1 z14:1 x16:1 x17:1 differential:12 w18:1 w17:1 series:4 w15:15 w14:1 w13:1 w12:1 w11:1 t3:3 our:4 z11:1 w10:1 es:1 description:3 space:5 since:2 lagrangian:1 essentielle:1 denotes:8 rational:7 ri:4 math:9 shows:1 linear:2 possibility:1 admits:11 formation:3 x24:1 beginning:1 r4:10 r5:7 r6:6 r0:11 r1:8 r2:8 r3:13 phrases:1 introduction:1 hence:1 generalizations:1 βj:1 first:8 origin:2 xk:3 degr:1 xi:10 dont:8 symmetry:31 question:1 variables:22 dynkin:17 number:1 u0:6 xz:8 2a4:3 xy:41 2a2:3 2a3:4 2a0:1 2a1:2 open:1 xw:3 given:32 πj:2 unknown:8 system:141 relations:7 their:1 assumption:2 final:1 mobiles:1 gives:1 holomorphic:1 centered:1 completed:1 proving:1 x8:1 part:1 favorable:1 x2:22 x3:25 translation:2 x1:30 x6:3 than:2 x4:22 x5:16 piii:1 second:13 2b6:2 were:1 z15:18 treated:1 descriptions:1 collecting:1 motivation:2 symmetries:2 ann:1 w0:9 generalization:3 uniforme:4 need:4 recover:2 seek:1 orders:1 lie:3 εt:3 converges:1 note:4 sciences:2 take:7 w8:1 confluence:8 algebraic:2 satisfying:6 significant:1 successive:1 qp2:2 represen:1 class:1 considered:3 coincides:7 physica:1 bracket:2 reflections:4 came:1 applied:2 drastically:1 noumi:1 show:3 z12:1 discovered:1 spaces:2 relation:13 solutions:5 d6:31 d7:10 d4:7 d5:1 find:13 fifth:2 parameters:25 explain:2 state:1 divisors:2 lemma:4 only:1 explicitly:19 generators:9 coefficients:1 holomorphy:5 circle:2 do:5 dl:5 viewpoint:5 di:2 de:3 dz:9 words:1 dy:10 combinations:1 dw:9 dt:38 du:5 procedures:1 takano:1 eme:2 qp:1 resolve:6 y8:1 conditions:6 arxiv:1 fixes:3 investigate:2 common:2 compactification:1 meromorphic:6 requirement:1 ses:2 exists:1 smooth:1 w7:2 w6:8 see:20 w4:35 w3:28 w2:10 w1:22 y0:4 theoretic:2 y3:22 w9:1 points:6 birational:6 pictures:1 review:2 y4:22 symmetric:1 written:9 difficulties:1 various:1 y7:2 αi:5 invariant:5 boundary:6 approach:6 x20:1 x23:1 x22:1 choose:5 notice:5 wd:2 shabat:1 extend:1 rims:2 wk:3 analogues:1 however:8 wi:9 wj:4 key:1 problem:10 regular:1 undetermined:2 both:1 taking:3 symplectic:11 embedding:1 point:9 simple:1 cf:2 dimensional:3 polynomial:31 respect:12 x9:1 diff:7 along:17 considering:1 described:3 transformations:33 basis:1 addition:3 equations:32 copies:2 been:3 reduction:2 much:1 change:9 cosgrove:2 pi:1 define:2 premier:1 propositions:1 search:1 subvarieties:3 bull:1 c2:1 present:4 c4:5 case:5 p1:4 p4:9 p5:5 remaining:2 will:8 monodromy:1 procedure:1 theo:1 studied:3 coupled:31 vi:33 thus:7 yk:3 surface:15 iv:2 ii:1 different:1 author:2 chazy:3 suggest:1 make:7 same:3 member:2 complex:14 tqp:1 higher:15 extended:5 hand:1 sys:1 six:1 y16:1 studies:2 well:2 analysis:1 gambier:1 coordinate:39 dimension:13 subgroup:4 construct:1 resp:6 obtain:9 yamada:1 drinfeld:2 yes:1 yet:2 blow:20 adding:1 preprint:2 classification:2 hint:1 egrale:8 galina:1 add:1 interested:1 easy:9 theorem:31 transformation:12 gave:2 resolved:5 comptes:2 x7:2 easily:1 read:1 papers:2 five:2 using:5 unique:1 moreover:2 follows:17 steps:3 integrals:1 works:2 reduced:1 accessible:19 because:1 deal:1 εa1:1 some:2 searching:2 b4:7 b5:6 b6:17 b7:6 acad:2 examples:3 b2:3 b3:3 b8:2 b9:7 est:5 erentielles:7 x19:1 integration:1 2xy:5 singularit:1 2xz:1 subjet:1 tends:5 y20:1 y21:1 y22:1 y23:1 y24:1 critiques:3 blowing:3 coupure:1 bl:1 sixth:2 equivalent:7 s15:3 step:17 sasano:24 x11:1 pv:12 properties:4 clarkson:1 stage:1 une:2 theorems:5 x15:12 a2:46 extensions:1 act:2 2x2:1 soc:1 admet:1 xyz:2 rendus:2 obtaining:2 isomorphic:1 three:2 down:2 pair:1 weyl:35 references:1 france:1 poss:1 classical:2 u5:3 u4:2 there:5 u1:8 brute:1 u3:2 u2:5 way:3 w16:1 sections:1 suzuki:1 complete:2 regard:2 hv:14 japan:1 matematica:1 ha:9 adler:3 made:1 tems:1 versions:3 whether:1 wish:1 mension:1 up:20 us:17 mobile:1 below:2 ui:3 uj:1 autonomous:3 deadlock:1 similar:1 called:1 b1:5 pii:1 associated:3 choosing:3 ag:1 int:8 abstract:1 troisi:1 proven:1 denote:9 chains:2 proves:1 initial:5 check:1 piv:6 constructed:1 again:6 functions:2 ematique:1 variety:1 fixing:1 when:4 field:4 other:4 special:1 becomes:6 mathematics:3 picture:1 elements:3 kinds:1 u6:5 symbol:7 sci:1 polynomials:4 z13:1 a1:50 a0:35 a3:30 important:3 a5:51 a4:37 additionally:1 a6:18 hiv:6 coupling:4 assume:6 emie:2 equivalently:1 original:1 |
0704.2479.txt |@word secondly:1 measurements:2 consider:2 squared:1 madsen:4 comparatively:1 dynamic:1 results:13 leads:2 quadrature:1 generalize:1 per:2 broader:2 follow:1 denotes:3 contributions:7 causes:1 poorly:1 calculate:1 respectively:1 subjected:1 canonical:1 γv:1 including:3 passage:1 environment:1 charge:1 keldysh:1 indicate:1 under:2 include:1 presentation:1 cm2:12 p2:1 probe:3 very:7 modes:1 relatively:2 wave:11 electron:13 orientations:1 resonant:2 matrices:1 condition:1 four:1 school:1 incoherent:1 vibrational:28 presented:3 cause:1 fewer:1 large:3 solid:1 vector:3 louvain:1 science:1 small:2 shows:5 optics:2 noted:1 reduces:1 smaller:2 coordinate:5 consistent:1 isolate:1 lack:2 pulse:17 approximation:10 rate:18 timescales:1 enhancement:1 qualitatively:1 dynamics:2 calvert:1 linear:1 even:2 reproduce:1 nonlinear:1 plays:1 clock:1 giving:1 sum:3 interactions:1 while:5 expressed:1 d3:2 current:1 axial:2 version:1 above:2 values:1 increasing:2 acknowledgments:1 movement:1 body:2 outgoing:2 proliferation:1 explosion:8 satchler:1 midpoint:1 component:3 discrete:1 here:8 understanding:1 ionization:41 reported:1 explore:1 slow:1 separation:7 relaxation:2 directions:1 resemblance:1 november:1 strong:6 table:1 appears:1 κr:2 extreme:1 obtained:3 great:1 tunneling:17 institute:1 involved:2 study:4 studied:2 allows:1 completely:1 commonly:1 prior:3 amount:1 products:2 aνn:5 resonance:3 conveniently:1 fourier:2 changes:1 vib:3 f0:4 via:2 followed:1 ions:5 apr:1 aps:6 namely:1 explained:2 esry:4 decrease:3 counts:3 total:4 planck:1 unit:2 readily:1 franck:10 use:3 quasi:3 reflected:3 asymptotic:3 would:2 remains:1 predictions:6 predict:2 wood:1 ip:1 taken:2 panel:8 ψf:2 theoretical:4 more:2 ejected:3 clearly:2 ti:1 envelope:1 emission:2 validity:1 tested:1 normalized:1 particular:3 known:4 iii:1 potential:1 must:1 me:1 high:11 account:1 rotational:2 integrating:5 recall:1 equation:2 work:3 protons:13 reads:1 london:1 reviews:1 zhao:1 del:6 mp:1 den:8 following:2 example:1 decoupled:1 performed:2 control:1 f1:2 compare:2 wang:3 indicated:2 give:1 process:8 functions:2 neglected:3 purposes:1 states:27 weighting:1 contributes:1 minimum:1 numbers:1 pν:6 conversely:1 occur:1 axis:5 comes:1 enf:1 hydrogen:1 discussion:1 species:1 delay:1 how:1 instead:1 parameter:2 ensemble:2 profile:4 product:1 fs:20 villeneuve:1 7x10:3 may:2 max:1 rescattering:1 wiley:1 produce:2 designed:1 exper:1 arhus:1 data:1 response:3 engineering:1 short:5 remember:1 consequently:2 spectra:6 separations:3 correspond:3 kulander:1 element:4 perhaps:2 negligible:2 progressively:1 fundamental:1 order:3 se:1 figs:3 wavelengths:1 wigner:2 produces:1 indeed:1 over:16 move:1 produced:2 4ev:1 experiments:7 pulses:18 motions:1 dw:4 kinetic:3 still:2 fwhm:3 its:1 tendency:1 before:1 perfect:1 sciences:1 derive:1 πkf:1 symmetry:1 decay:1 energies:17 interesting:1 temporal:1 coordinates:2 better:3 com:1 degrees:2 systems:2 might:2 good:4 affected:1 oppenheimer:1 thereby:1 fragment:1 numerically:1 largest:1 fig:16 primary:2 differential:3 records:1 effects:2 they:1 half:1 oxford:1 rotation:4 now:3 densities:1 eigenvalue:2 gets:1 moshammer:1 university:4 hamiltonian:2 2z:2 academic:1 reasonable:2 each:3 crossing:2 found:6 european:1 cl0:4 characterized:2 bond:8 heavy:1 en:14 ei:1 significantly:1 populated:1 generation:1 series:2 energy:46 ef:1 gaussian:2 related:1 society:1 owing:1 static:3 ex:1 exceeded:1 quantum:6 our:4 1nn:1 ev:12 eq:3 out:1 rv:1 saenz:1 matrix:5 driving:1 factors:4 restricted:1 furthermore:1 since:8 rev:7 research:3 increase:1 replacing:1 investigation:1 dominated:1 reflection:1 denoted:1 rm:1 dominate:1 ref:6 occurs:1 red:1 predicted:4 foundation:1 turning:2 theory:8 written:2 favored:1 several:1 mechanisms:1 ertel:1 free:1 diagnostic:1 coriolis:1 reason:3 formation:2 york:1 org:14 iop:6 definition:1 interaction:1 r0:15 r2:2 could:2 transition:11 motion:6 length:7 plane:1 exponentially:1 assumed:1 dnν:1 ionic:1 support:1 first:1 origin:1 initial:19 probability:6 variables:2 thesis:1 number:5 stapelfeldt:1 channels:2 philosophical:1 multiplying:1 simplified:2 fast:3 another:1 apparent:1 electronic:18 angular:4 xia:2 given:11 their:3 introduction:1 eqs:1 system:3 parallel:1 needed:1 assumption:2 rates:7 observations:2 calculations:7 convention:1 1e:5 molecular:31 final:11 speaking:1 gives:2 danish:1 grant:1 polyatomic:1 wavelength:2 tool:1 exactly:1 larger:5 optical:12 somewhat:1 consult:1 than:9 intrinsically:1 population:4 relative:1 floquet:1 ben:4 target:1 showed:1 isolation:1 approximations:2 depends:1 tunable:1 determined:2 intensities:10 williams:2 amplitude:5 light:2 kf:8 treated:1 giusti:1 function:10 modulating:1 gribakin:1 pra:2 san:1 faster:2 rewrite:1 prl:4 radial:1 spectrum:25 attenuation:2 summing:2 hansch:1 further:1 seen:1 orders:2 accounted:1 cm:7 strength:1 angle:1 γk:4 lin:1 agency:1 able:1 mechanism:2 predominantly:1 polarization:3 centered:1 fitting:1 internal:1 εi:3 take:1 so:5 strengths:1 channel:3 continuous:1 multiple:2 allow:2 centre:1 english:1 reach:2 evaluation:1 most:2 importantly:1 gauss:1 significant:4 gradshteyn:1 pair:1 1x10:2 intrinsic:1 pages:6 sfa:2 doi:2 observation:1 considered:1 average:1 sf:5 χf:4 reflecting:2 principle:2 exp:8 mechanical:3 link:6 typical:1 physics:19 section:1 wavenumber:1 nω:2 thomas:1 rˆ0:3 particularly:1 show:5 queen:1 infrared:2 dissociate:1 gauge:5 solutions:1 incoherently:1 pump:1 threshold:1 sciencedirect:1 especially:1 d2:1 find:1 completion:1 indicator:1 finally:4 based:2 3f0:2 explain:1 state:25 supported:1 should:1 analytic:1 only:6 experiment:3 condon:10 molecules:2 factor:5 integrate:1 employed:1 equilibrium:1 do:1 mixture:1 dominant:2 notation:1 ivanov:1 de:1 overall:4 beam:1 fastest:1 dx:2 new:1 during:2 dt:8 dr:4 mies:2 itzhak:4 processes:1 volkov:3 continuum:5 denmark:1 arxiv:1 modern:1 yield:2 tuned:1 nν:4 characteristic:1 release:1 through:1 fixed:5 favoring:2 thirdly:1 thanks:1 monochromatic:1 ignored:1 set:2 predicts:1 reference:2 frame:6 bt7:1 aarhus:1 ωt:1 observed:3 intensity:14 full:1 result:4 enhanced:4 corkum:1 discussions:2 terms:1 techniques:1 invoked:1 resonantly:1 nuclear:14 review:6 currently:1 materials:1 enough:3 closed:1 between:3 progress:2 boundary:1 conditions:1 comparable:1 recently:1 uk:1 nature:1 importance:1 suppresses:1 subject:1 however:5 jl:1 ikf:1 recent:4 limitation:1 article:1 atoms:1 come:1 ker:6 thank:1 both:1 cos:1 kr:1 instant:1 zare:1 density:3 σg:1 according:1 attributed:1 dated:1 context:1 exceeds:1 contribution:3 darker:1 expression:2 zˆ:1 experimental:7 otherwise:1 relevant:1 key:1 timescale:1 point:1 simple:6 smith:3 narrower:1 period:2 ultrashort:1 represented:1 simply:1 moreover:1 throughout:1 along:4 points:1 peng:2 described:4 kinematic:1 addition:2 due:5 been:4 much:4 deposited:1 combined:1 interest:1 collected:1 ph:2 pi:1 harmonics:1 peaking:1 photoionization:1 direction:3 contribute:1 partly:1 moved:2 photon:2 2ip:1 bulk:1 coherent:1 observe:1 external:1 angles:1 denote:2 present:5 case:4 multi:2 laser:11 resulting:3 exponential:1 pacs:1 frozen:1 ǫi:2 ejection:3 examine:1 value:2 excited:8 will:4 near:6 suppose:1 pressed:1 transactions:1 shift:5 au:5 ultra:1 procedure:2 a20:1 stretching:1 orientation:2 almost:1 averaging:2 refs:2 formulation:1 thus:2 iv:1 ii:1 ik:1 itself:1 reports:1 diabatic:2 kuchiev:1 2up:1 increased:2 different:13 combination:1 multiphoton:4 suggests:1 lengths:4 make:2 linked:1 shorter:6 φf:5 uncertainty:1 units:1 φi:6 defines:1 higher:8 independent:2 calculation:3 used:4 http:15 peaks:3 see:3 diego:1 numerical:1 upon:1 effect:5 hand:1 ion:5 8ev:1 levels:1 kim:1 hospitality:1 neuve:1 normalization:1 cycle:2 lower:10 schr:1 center:1 minimize:1 onedimensional:1 random:1 nonetheless:1 well:4 roughly:1 analysis:1 schafer:1 amounts:1 without:1 vibrationally:2 consistency:1 firstly:1 position:1 model:19 usual:2 spherical:1 bandrauk:2 less:2 being:2 when:8 accurate:1 obtain:4 rudenko:1 shape:4 underlying:1 atomic:10 aspect:1 shading:1 useful:2 scattering:1 eigenstates:1 eigenfunction:2 rapid:1 belfast:2 dissociation:7 vibration:3 absorption:1 photons:4 royal:1 internuclear:9 source:1 valid:4 extends:1 lett:2 absorbed:2 extensive:1 plasma:1 transformation:2 momentum:5 dundas:1 iν:4 around:1 represents:2 showing:2 possible:1 brink:1 were:1 proton:29 press:3 using:12 part:6 highly:4 occurring:1 εf:1 follows:1 qualitative:2 adiabatic:3 specific:1 yields:1 dissociative:6 integrals:1 translated:2 qd2:1 essential:1 mathematical:1 www:1 methods:1 classical:2 exposed:1 some:2 understood:1 towards:4 respect:2 duration:8 unless:1 mckenna:1 electric:3 pronounced:1 describing:1 resonances:2 though:1 eiν:7 integration:1 overlap:3 depletion:1 critical:1 dimauro:1 provides:1 assuming:2 indication:1 fragments:2 varying:1 plot:2 molecule:2 equivalent:1 confluent:1 agreement:8 expansion:3 2l:1 step:1 inherently:1 although:1 casagrande:1 intense:7 simpler:1 comparison:3 about:1 carried:1 instantaneously:1 freedom:2 discussed:2 dependence:1 o:1 reduced:1 probabilities:1 range:5 repulsion:3 mccann:3 mixed:1 ylm:2 slightly:5 zuo:1 electromagnetic:1 raised:3 letters:4 h2:3 instruments:1 into:4 within:3 integral:1 bound:1 kjeldsen:3 three:3 multiply:2 appropriate:1 weighted:1 determine:2 oter:1 computer:1 additional:1 comparing:2 transfer:1 strictly:1 there:3 transform:1 long:2 dm0:4 width:1 conservation:1 low:11 way:3 resulted:1 slowly:1 was:8 far:1 hz:1 considerably:1 hypergeometric:2 complete:2 form:4 murphy:1 denoting:1 ryzhik:1 but:7 change:1 expected:1 neutral:1 recoil:2 yang:1 atom:1 ullrich:1 level:1 longer:1 bryan:1 absent:1 fragmentation:1 made:2 coefficients:1 builds:1 born:1 whether:1 prevents:1 ponderomotive:2 maximum:3 us:1 url:15 frequency:2 limit:2 sapphire:1 distribution:8 panels:3 similar:1 clear:1 regimes:1 detailed:1 taylor:1 associated:1 photoelectron:2 up:2 defined:6 abstract:6 describe:3 influence:2 antibonding:1 evidence:1 single:2 associating:1 laboratory:5 journal:7 corresponding:3 distributions:1 lundbeck:1 physical:9 effected:1 again:2 mutual:1 compared:7 nm:4 no:2 ends:1 dressed:1 populations:1 generally:1 field:24 other:1 role:1 department:1 mathematics:1 conclusion:1 elements:1 la:1 excitation:1 models:2 fabre:1 durations:2 drift:1 shown:4 variation:2 a0:7 important:3 peak:9 xavier:1 included:1 astronomy:1 structure:8 tong:1 regime:1 coupling:3 coulomb:14 assume:1 requires:1 space:1 curve:1 governed:1 stacks:6 mass:1 χi:2 time:6 n0:4 nuclei:1 expands:1 indirectly:1 |
0704.2481.txt |@word gr:2 ganz:1 ost:1 gx:1 2n3:1 r1n:1 alt:1 als:13 siehe:4 inverse:1 dazu:4 auf:8 irrelevant:1 11x2:1 aus:7 division:1 gerade:3 letzten:2 fall:1 die:107 quadratischen:2 ollig:1 haben:2 gut:1 indices:1 sogar:1 zj:1 bestimmung:1 cosh:5 10x:2 oglich:3 zu:23 verhalten:4 uhrung:1 4x3:1 4x2:2 heißt:2 linear:1 ohne:1 3x:1 ucher:1 giving:1 entwicklung:1 binet:1 3b:2 neu:2 jede:5 3d:2 ordnung:7 ggt:2 aten:5 drei:3 nicht:4 ansatz:6 sind:9 standard:1 z1:21 z2:18 z3:18 buch:1 erh:1 ersten:3 durch:17 wie:7 apr:1 bleibt:2 wir:35 linearen:9 einfachen:1 positive:1 linearer:2 definition:5 operators:4 betrachtet:1 unsere:1 muss:1 4an:1 folgen:7 erzeugt:7 der:95 des:14 mj:2 dem:5 den:23 tabelle:1 fibonacci:2 ihre:3 f1:4 f2:4 noch:3 jeweils:1 zwischen:2 mehr:1 bezeichnet:2 beweis:2 sie:9 plus:1 anderen:1 r2n:1 behandlung:3 algebra:2 perrin:4 tries:1 fn:8 man:4 einfache:2 short:1 kein:1 st:1 so:4 aherung:1 bestimmen:1 zum:1 5x5:1 berechnen:1 22n:1 großen:1 immer:1 einer:14 menge:1 berechnet:1 alle:5 unendliche:1 korollar:2 ihr:1 daf:1 halt:1 dar:1 das:23 wenn:5 zweier:1 term:1 2x:6 4e:1 berechnung:6 2n:5 2i:1 kann:2 bx:1 homogene:4 ex:3 ez:1 liegen:1 es:13 beispielsweise:1 diesem:6 gleichung:9 werden:16 dieser:4 dieses:1 uhrt:4 rational:1 bedeutet:1 math:1 6x2:2 theory:1 auch:15 ore:1 zjn:1 liefert:3 r1:5 r2:5 ist:40 andig:1 xn:17 reihe:3 nach:2 xd:7 xz:1 anwendung:4 einen:1 einem:2 endlich:1 folge:12 allgemeinen:1 introduction:1 osung:6 system:1 folgt:6 stephan:2 nennen:2 1e:3 nehmen:1 ganze:3 2an:4 zahlen:4 beiden:2 quadratische:1 recurrences:1 manipulation:2 x2:47 x3:23 theorie:2 x4:9 gleichungen:1 bei:8 ben:1 wert:2 gelten:2 dann:4 geht:1 bew:1 rad:1 aller:1 dass:15 faktor:2 4x6:1 null:3 demonstration:1 deren:2 mit:33 theoretischen:1 zusammenfassung:1 rationale:2 komplexe:1 gilt:4 bzw:1 definiert:1 abh:1 hierbei:1 entspricht:3 unserer:1 wikipedia:1 3x2:4 3x3:3 16x2:1 weitere:1 ugt:1 betrachten:3 dessen:3 zahl:2 daher:9 sehen:4 3n:1 8x3:1 8x2:1 atzung:3 da:3 dx:2 gen:2 angigkeit:1 gel:1 prinzip:1 arxiv:1 vier:1 grad:1 art:2 setzen:2 nur:6 nun:1 computer:1 eigenschaften:1 leicht:1 einfach:1 sei:4 wird:8 weiter:1 konstanten:4 wo:1 erhalten:11 aßt:6 jedem:1 diese:9 funktion:21 finden:6 ber:7 terme:4 summe:5 uns:4 insbesondere:1 many:1 minus:1 etc:1 welche:1 asymptotische:6 ck:4 cj:2 ci:1 cn:3 cx:7 zusammen:1 methoden:4 knuth:1 basis:2 addition:1 oder:3 pc:1 damit:5 abschnitt:1 beispiel:6 viele:1 6a:1 formel:6 gar:1 gap:1 achst:4 weise:1 außerdem:1 c3:1 c2:1 c0:1 erst:1 c4:1 wilf:2 ucke:3 ein:12 wollen:5 von:35 im:4 vor:2 quadrat:1 ie:2 beweisen:1 sowie:1 ergibt:4 besitzt:3 und:56 literature:1 funktionen:8 dabei:1 keine:1 kapitel:5 concrete:1 ihrer:4 andere:1 ucken:3 ullen:1 differentiation:1 allgemeine:1 identit:5 weg:2 5x:1 konvergenz:1 frage:1 gleich:6 resultat:1 theorem:2 usage:1 extensive:1 wobei:3 hat:5 egal:1 folgenden:2 lassen:3 bis:3 formal:2 osungen:1 erste:2 teil:4 absch:3 jedoch:4 onnen:9 methode:2 examples:1 polynom:1 ich:2 zwei:3 f3n:15 n3:1 beispiele:5 ralf:1 seien:1 11e:2 werte:1 seine:1 weil:1 br:2 atze:1 zur:6 zus:1 oren:1 hier:2 daraus:3 2x2:6 zun:4 2x4:1 software:3 gegeben:1 eins:1 aber:5 rolle:1 eine:31 einf:1 was:3 form:22 zeigt:1 ho:1 mich:1 lineare:10 ur:17 um:6 ix2:2 problem:3 sein:3 uber:3 ab:1 ak:2 uhren:1 am:1 ins:1 graham:1 operation:1 fill:1 nk:1 nm:2 nan:1 nx:1 koeffizienten:7 sich:20 nat:1 mathematics:1 besteht:5 dies:4 geometrische:1 denen:1 etwas:1 a1:21 a0:21 a3:12 a2:14 a5:2 a4:6 amlich:1 solche:3 beschrieben:1 ungerade:4 4x:12 ziel:1 n2:4 nxn:1 n4:3 4a:2 |
0704.2482.txt |@word gs:29 consider:5 pairing:2 iib:6 results:8 integration:2 four:1 ahn:2 scalar:2 computation:9 c2:1 expressions:2 gk:1 yankielowicz:1 issues:2 iitb:2 whose:3 certainly:1 calculate:3 segments:4 technique:1 young:1 dijkgraaf:16 th:33 under:2 g6:3 conjecture:8 g4:6 string:8 straightforward:1 far:2 wtree:12 witten:11 every:1 exact:8 argurio:2 leads:2 level:21 evaluation:1 solution:2 orientifolded:1 large:7 solved:1 vector:1 math:2 enclosing:1 eigenvalues:6 heise:1 equation:14 upper:1 gs2g:2 orientifold:3 folds:1 consistent:1 reino:1 second:3 value:3 zanon:1 further:3 dynamics:1 substitute:1 even:5 g24:2 g25:1 g22:2 g23:1 giving:1 contributions:3 section:12 expressed:3 version:1 above:21 scientists:1 obvious:1 method:2 edelstein:1 compact:1 gµ:1 led:2 evaluating:1 degree:3 wrapping:1 here:3 bi:4 reported:1 governing:1 groups:5 address:1 alone:1 consideration:1 halmagyi:1 strong:2 respect:7 appears:1 z2:1 obtained:16 generalizing:1 cachazo:3 g2p:24 institute:1 involved:1 vectors:1 approaches:2 ignoring:1 superpotential:70 resulting:2 loop:4 lazaroiu:3 g2n:8 g2k:2 relation:5 equivalence:1 elaborated:1 apr:1 replace:1 rφ:1 unitary:1 anomalies:2 apply:1 total:2 flavors:10 use:3 takes:1 would:1 contains:3 negative:1 next:3 nucl:9 explicitly:4 pert:3 type:2 diagrams:2 more:1 gopakumar:1 duality:8 becomes:1 ashok:1 derivation:2 particular:3 known:2 iii:1 must:1 kraus:1 monopoles:1 ma:4 quartic:5 integrating:1 deformed:6 recall:1 setup:1 cap:1 mi:37 theories:22 values:2 following:13 modifies:1 root:1 example:2 proof:1 compare:5 f4:4 give:5 calculation:2 expanding:2 india:1 bena:1 sphere:1 lavor:4 mcgreevy:1 g2:18 recursive:1 s3:4 s2:4 discussion:2 breaking:2 s4:3 write:4 how:1 lam:1 pure:6 instead:1 upto:1 simplicity:1 description:1 singular:2 transforming:1 after:1 derived:2 different:1 diagram:3 plane:4 fd:1 fg:5 representations:2 lav:1 fl:1 fn:2 si3:3 λ2k:1 realized:1 dynamical:1 effective:54 computations:1 sp:12 explicit:2 su:5 sk:8 sj:19 si:22 so:47 fundamental:23 sl:1 representation:6 λ2p:2 sf:11 janik:1 s0:2 subsections:1 leigh:1 rφ2:1 developed:2 over:7 spectral:1 ita:1 paper:3 satisfies:1 still:2 8g2:1 its:2 roots:1 suffix:1 perfect:1 mµ:1 derive:1 group:24 affleck:2 superstrings:1 energies:3 interesting:3 fix:1 absence:1 mail:1 supersymmetry:1 correspondence:1 non:4 motivated:1 combination:1 matches:2 slog:5 calabiyau:1 introduce:1 intriligator:3 framework:2 half:1 now:5 discuss:2 easily:1 term:4 finite:1 2p:8 2s:2 presented:1 appropriate:1 hepth:4 gµ2:2 2g:1 fχ:63 2m:3 2n:4 side:1 conifolds:1 2k:8 ei:14 ej:8 energy:15 ef:1 related:4 recapitulate:2 sinha:2 extended:1 loops:3 our:3 extract:1 special:2 out:3 ejl:1 shown:3 rw:10 rp:2 matrix:41 rr:2 space:2 obers:1 rev:3 confine:1 douglas:1 denotes:4 contained:1 u2p:4 m2i:6 conjectured:1 ref:2 ri:34 rj:10 shows:1 theory:56 free:15 quark:4 completely:1 e0:1 rlog:1 verify:1 perform:1 chiral:7 b698:1 geometry:14 could:1 transition:4 running:1 used:1 landsteiner:3 iλ0:1 period:3 massive:1 δij:1 hence:2 quadratically:1 first:3 cy3:4 2p1:1 dine:2 placing:2 vacua:5 symmetry:1 xm:3 variables:1 coming:3 number:3 rank:4 tatar:5 restrict:1 clear:2 done:3 fluxes:4 several:1 equating:1 given:23 iai:4 rewritten:1 requirement:1 introduction:1 leading:1 adjoint:16 πi:3 schnitzer:2 their:1 g42:2 quadratic:4 seiberg:12 eqn:31 zeros:3 postulate:1 scheme:1 unbroken:10 gives:7 holomorphic:1 si2:3 centered:1 exactly:1 part:4 differentiate:2 x2:5 than:1 coefficients:2 connections:1 determines:1 campos:1 require:2 ramadevi:1 tree:22 zero:3 matter:31 future:2 serc:1 were:1 identical:1 tion:1 ia1:1 perturbative:12 chern:3 locations:3 curves:4 sometimes:1 conjugate:1 need:4 seen:2 any:2 elsewhere:1 place:1 mills:2 note:1 potential:18 absorbed:1 generalized:2 lhs:1 strengths:1 g26:1 sure:1 though:4 track:1 most:3 involving:4 thank:1 organization:1 phase:1 segment:1 class:1 i3:1 romelsberger:1 considered:6 calculated:2 partition:2 km:2 order:14 sj2:2 points:3 ferrari:1 principle:1 exp:2 veneziano:4 fact:3 precise:1 incorporate:1 bj:3 show:2 supported:1 kennaway:1 gauge:67 substituting:6 d5:3 agrees:7 feng:1 fibrations:2 mumbai:1 window:1 topological:7 should:1 indian:1 subsection:4 factor:2 integrate:1 constant:3 hope:3 dominant:1 ωdx:2 get:12 dependent:2 superpotentials:15 expectation:5 dz:1 dx:6 dy:1 report:3 geometric:17 differentiating:1 qq:2 fields:3 arxiv:1 factorization:7 summary:2 qi:1 cycles:6 4g2:1 moduli:6 set:2 computed:5 achieved:1 calabi:5 see:1 4mi:4 geometrically:1 result:12 w0:1 discussions:1 close:1 contour:2 techniques:1 c2p:7 satisfying:1 tensor:3 watabiki:1 pattern:1 rings:1 symmetric:4 written:2 various:2 closed:3 between:5 d50:1 c2k:2 boundary:2 approach:6 email:1 2pq:1 csir:1 terms:12 however:1 roiban:2 wv:4 concentrate:1 answers:2 2pl:1 topology:4 concentrated:1 both:3 powers:6 taking:3 according:2 called:1 chosen:1 symplectic:2 context:3 contribution:17 genus:2 expression:7 masses:1 comes:1 superfields:1 relevant:2 naculich:2 point:10 2nc:1 corresponds:5 dimensional:1 superstring:3 ab:1 anti:1 polynomial:10 associated:2 branes:5 pr:1 pq:2 described:2 geometries:3 basis:1 yau:5 equations:4 prepotential:2 three:9 been:12 pb:1 defined:1 frp:3 anomaly:2 pl:2 direction:1 rp2:1 supersymmetric:24 6g:2 quantities:1 determination:1 derivative:2 antisymmetric:5 denote:2 case:5 p1:9 look:3 evaluated:1 will:10 invoking:1 neat:1 shall:2 eii:7 eik:6 property:1 couplings:1 procedure:1 real:1 planar:8 studied:6 simons:3 ip:3 refs:2 f2n:8 ii:1 confining:3 dual:4 fibration:2 ia:4 vanish:2 technology:2 compactified:1 2g2:2 cji:1 grant:2 generic:3 acknowledgments:1 make:1 cross:1 arguments:2 evaluate:2 ri3:2 gets:3 higher:1 independent:1 qcd:1 investigated:1 shigemori:2 embedding:1 ri4:1 i2:1 ri2:4 interconnections:1 sym:1 wdx:1 phy:2 potentials:3 a2i:1 eij:19 cycle:3 off:1 ryzhov:1 well:3 without:1 position:1 model:25 lagrangian:1 proposed:1 glueball:8 obtain:8 detail:1 via:5 differentiation:1 flavor:8 previous:2 adv:1 adding:1 cut:2 wef:32 conclude:1 realize:1 interested:3 lett:6 mod:1 elaborately:1 take:6 resolved:3 aspects:1 around:1 multiplets:2 breaks:1 superfield:7 fuji:2 2w:2 vacuum:4 confined:1 using:12 intersection:1 formal:3 ns:2 appearing:1 like:2 follows:3 addressed:1 specific:2 flux:1 alongwith:1 either:1 integrals:1 arbitrary:5 become:1 works:1 replacement:1 indications:1 dualities:5 methods:1 classical:6 grisaru:1 some:2 ookouchi:5 b0:1 choosing:1 mirror:1 orientifolds:2 diagonalizing:1 ignore:1 scale:3 dimensions:1 obtaining:1 quarks:2 1g2:1 comments:1 critical:6 provides:1 assuming:1 mesonic:1 inserting:1 power:2 sixth:7 agreement:2 expansion:2 broken:9 substitution:4 relating:3 science:1 comparison:3 extension:1 oh:1 eqns:1 discussed:1 2i:2 addition:1 oz:1 meson:1 ferretti:1 other:2 considerations:3 rj3:1 rj2:2 inclusion:2 h3:1 into:1 within:6 integral:5 hermitian:1 references:1 proportional:1 gomez:1 bombay:1 hep:33 log:23 walcher:1 vafa:22 there:2 fast:1 fd2:2 low:4 way:1 resolvent:2 was:6 suzuki:1 function:4 complexified:1 complete:1 form:13 unoriented:1 hr:2 usp:1 alday:1 construction:1 hn:2 line:4 vevs:2 compute:8 2πi:7 wish:1 us:2 discarding:1 limit:13 agree:1 regimes:1 ac:2 later:1 proved:1 parvizi:1 computing:1 ai:9 certain:1 abstract:1 aj:1 corrado:1 general:4 quantum:1 engineering:5 periods:5 formulation:1 corresponding:5 work:4 constructed:1 ni:6 functions:6 compared:2 conifold:1 nc:57 when:3 2dx:1 nf:41 rewriting:1 field:10 fs2:4 yang:2 branch:1 department:2 massless:2 briefly:2 models:13 jhep:16 polynomials:3 a0:2 important:2 g43:2 sides:1 implies:2 coupling:5 dφ:1 physics:2 ejk:4 curve:5 theor:1 having:2 factorizes:2 mass:2 already:1 n0:4 n1:1 konishi:3 wyllard:2 strings:5 once:2 |
0704.2483.txt |@word consiste:2 veut:2 fortiori:1 canoniques:1 γy:1 paris:3 swan:2 hermann:1 aux:7 spec:6 voie:1 compacte:2 tandis:1 voit:7 voir:18 four:1 associe:5 vector:1 indices:1 exponentielle:1 directement:2 mail:1 direct:3 second:2 degr:6 notera:1 inversibles:16 familles:1 propri:19 new:6 surjectif:3 coefficient:1 notions:1 sugg:1 localisation:2 met:1 ements:53 facilement:1 naturel:1 diagrammes:1 suitable:1 ecrite:1 nulle:10 reste:5 tu:1 projection:5 classification:1 noyau:2 univ:1 unit:5 tels:16 exacte:11 bundles:1 m1:1 centr:1 assez:2 type:12 fractions:13 duale:1 springer:4 commutatifs:2 ml:3 mi:1 mu:5 mt:1 apparaˆıt:1 ms:4 mx:1 give:1 ib:11 ene:2 hom:7 nombre:5 particulier:14 zahlentheorie:1 utilise:7 constante:2 after:2 laquelle:4 ezout:1 order:1 satisfaisant:1 quadratique:10 over:2 eralise:1 esultat:14 peut:37 pourra:1 erifie:9 famille:10 fix:2 imm:6 fid:9 erences:1 mettre:2 maximal:5 them:3 effectu:1 they:2 plutˆ:3 aucun:6 localis:4 choix:4 invariante:1 schemes:1 aide:1 autre:6 4yz:2 etement:1 injectifs:1 effectivement:1 aurait:4 rv:1 diviseur:3 faisceau:2 rd:1 contenu:9 daniel:3 erateur:6 induite:1 normes:2 r0:3 r2:11 atm:3 signature:3 rang:35 already:1 rank:1 rempla:1 construire:4 twisted:1 master:1 autrement:8 begins:1 vertu:1 composante:1 glueing:1 longs:1 ram:1 seen:1 efinissent:3 eels:4 alors:63 obtenue:1 eristique:1 object:1 doit:5 complexes:2 bsn:2 affirmation:1 erant:1 exercises:1 obtenus:1 somme:5 don:1 points:5 notion:12 probl:1 engendr:20 analogue:4 identifiant:1 bourbaki:3 cependant:1 rectangle:2 de:538 db:3 da:1 plats:1 du:56 egre:16 eme:21 bas:6 textbooks:1 identify:1 gendre:1 fait:17 δjk:1 zahlen:1 nul:17 projections:1 ecrivant:1 ebre:17 erer:2 eres:2 tensor:1 erez:1 irr:9 µv:4 sorte:12 satisfaites:1 bien:14 simplest:1 encounters:1 wc:2 wb:4 wa:2 however:1 terme:1 topology:1 restreint:1 erale:1 ils:2 receives:1 con:6 identique:1 diff:2 commutative:4 triviality:1 hypoth:13 puissance:2 basic:1 flexible:1 penser:2 suivre:1 θi:1 θd:1 ediatement:5 libres:2 ait:7 employ:2 suppose:4 tant:1 iy:16 a21:1 cylinder:1 cons:5 iq:1 ip:1 iv:3 ii:2 cant:1 ij:2 im:18 il:136 ethode:1 id:67 descent:1 traiter:1 livre:1 a2x:1 tensoriel:7 elle:13 isomorphisme:53 thm:2 transforme:1 correspondance:2 respectivement:1 ele:5 enfin:3 egal:10 disons:1 possible:1 iη:2 unique:3 advanced:1 bande:7 fournit:1 explique:1 complexe:3 steps:1 utilisera:5 obtenu:1 paragraphe:16 connexe:1 emontr:3 paragraphs:1 bord:4 zariski:3 ici:14 donne:8 reprenons:2 eduite:2 pose:9 pla:1 fermat:1 poss:7 primitif:1 dˆ:1 o:34 plus:30 maintenant:3 soc:2 imaginaire:1 ferm:1 son:12 essentiellement:2 langage:1 avait:1 erisation:1 way:3 was:1 etermin:2 form:6 ligne:1 cedex:1 fort:1 epart:1 ementaire:3 cocycle:13 liens:1 eterminant:8 duals:1 esent:1 abstract:2 eses:4 constructed:2 no:1 galois:4 when:1 ne:19 nullit:1 ny:1 construits:1 etablir:1 intend:1 equivalentes:2 ξi:3 consid:22 variable:1 ξa:1 forment:4 pseudo:1 concept:1 corps:22 dessus:9 particular:1 signifie:4 inverse:2 efinit:11 donner:1 ecessaires:1 passage:3 quasi:1 discovering:1 remarquons:2 evidemment:2 level:2 die:1 ecrit:14 involution:3 dit:15 der:2 injectif:9 dealing:2 parall:3 quelques:5 ere:14 xσ:6 seuls:1 groupe:35 donnons:3 serait:6 xθ:5 xξ:1 along:1 ferrand:4 rings:1 expliqu:1 choisissons:1 cette:29 eduction:1 lecteur:2 entier:6 parmi:1 notons:16 inverses:1 horizontale:1 rendre:1 additive:1 suivantes:5 suppl:1 france:2 msi:1 etude:1 vous:2 binaires:2 surjection:1 annule:1 finie:11 donnent:2 cas:15 car:4 sous:37 trans:1 abord:11 figure:1 construit:2 pourrait:1 posons:13 clair:12 muni:4 parce:3 revˆetement:3 s1:2 s0:2 obius:19 traduit:4 may:2 applications:16 sinon:3 gros:1 posant:5 permet:5 polynˆomes:9 sp:2 explicit:1 avant:4 sk:1 sj:2 si:67 sn:14 sc:1 nous:3 sa:7 se:21 primitive:2 lsi:1 group:3 forme:28 interesting:1 forms:1 ωkj:1 correspondence:1 equence:2 non:30 lien:1 introduce:1 hamilton:5 kkk:2 half:1 qu:51 devient:2 telles:5 interpr:2 erifiant:3 el:122 en:155 ei:2 ej:4 ee:49 ed:1 ef:2 ec:8 laisse:3 edente:2 eu:1 ep:1 es:56 er:2 montrons:12 renvoie:1 kummer:4 petite:2 eja:2 valeur:2 esentation:1 theory:4 carr:14 cart:1 quite:1 erales:1 e1:6 ecrire:8 card:1 e2:8 enoncer:1 language:1 petits:1 βx:5 place:2 quadratiques:2 think:1 semblable:1 first:2 xj:9 simplifier:2 xi:31 xn:7 u1:17 variables:1 xa:1 xg:1 xy:6 simplified:1 directly:1 crit:1 impossible:6 ring:1 introduite:2 ont:4 droite:11 little:2 cyclique:2 eduire:3 montrent:3 short:2 x2:8 specialists:1 x1:6 than:1 coefficients:12 lnm:1 unfortunately:1 sera:4 exactes:1 eciproque:2 ann:3 premier:21 pri:2 provient:2 ans:1 eductible:6 any:1 erification:2 appendice:1 note:5 ideal:1 deux:28 galoisien:13 multiple:3 trace:3 algebraic:5 pr1:6 pr2:1 cycliques:1 binaire:8 doivent:1 annul:1 verlag:3 axe:2 axi:1 premi:8 drastically:1 notations:4 paragraphes:2 trop:1 fibre:3 aσ:1 ensembles:1 chaque:11 divise:2 nouvelle:1 prenant:3 get:1 repr:1 monde:1 cannot:1 lui:5 erent:2 nouveau:2 exactitude:2 epend:2 leur:2 relative:1 surfaces:2 ways:1 review:1 αz:2 infinie:1 annonc:1 between:2 ui:7 geometric:1 facteur:10 garde:1 coverings:1 je:5 vrai:1 remarques:1 vue:4 implique:9 tour:1 tous:6 tout:47 vus:2 expression:1 devrait:5 certaines:2 pos:1 lagrange:1 seulement:5 intervalle:1 topologique:1 lorsque:3 locally:1 attaching:2 quitte:1 unitaire:3 identifie:1 quatri:1 remarquer:2 formes:9 those:1 esultats:2 case:1 explication:1 situation:3 divisant:5 eral:8 ecessairement:2 couples:2 soit:85 binary:1 par:134 pas:44 entraˆıne:6 granted:1 arguments:1 aura:1 erence:1 particuliers:1 commode:2 eelle:1 lequel:4 cet:16 esigne:6 dimension:10 resp:7 indice:2 clos:4 plongement:1 eorie:6 cherche:1 identit:1 param:5 rennes1:1 aspects:2 caract:4 ependant:1 matrice:18 librement:1 ecessaire:1 quelconque:2 certains:1 mod:2 automorphisme:9 soient:8 possibles:1 invariants:5 multiplicative:1 topologie:8 detr:1 homoth:3 irmar:1 constitue:1 rappeler:1 elements:1 images:2 dimensions:1 2xy:1 intervenir:1 ωik:1 ωij:2 erifier:14 isomorphe:18 eiπ:1 seconde:1 une:119 ace:1 esormais:1 ecrivons:1 origine:1 acy:1 ot:7 op:2 inclusion:4 image:15 cercle:6 copies:1 enonc:2 strip:2 bijective:1 celui:5 versal:1 surjectivit:3 plusieurs:1 mars:1 grothendieck:1 ebriquement:3 aa:10 ac:4 ab:15 egalit:16 ai:6 modules:37 troisi:1 ar:2 pourquoi:3 av:2 ax:12 clairement:1 az:2 knus:5 deserve:1 students:2 a1:5 important:1 remplace:1 composant:2 waterhouse:5 galoisiennes:3 eralit:1 prolonge:1 alg:49 montr:4 toute:4 tz:3 forte:1 quatre:1 equivalence:2 tr:20 tp:2 tm:5 th:22 ta:2 very:2 projet:1 sont:42 ramen:3 condition:6 sans:3 foncteur:1 tel:26 auquel:1 conjugu:1 naturelle:1 masson:2 nulles:1 section:14 version:1 sur:60 peuvent:2 edant:3 erieure:1 racine:6 condenser:1 edent:5 espace:18 verra:2 amount:1 permutation:2 action:4 quotient:12 texte:5 appelle:1 taken:1 more:2 contrairement:2 projectif:10 lesquels:1 ebres:9 suite:33 known:2 projective:2 none:1 gauche:1 renvoyons:1 equation:2 des:87 det:9 vraie:1 paragraph:4 ecurrence:3 deg:1 f0:1 f1:3 efini:10 dual:4 eductibles:2 yθ:2 minimum:1 νa:3 numbers:1 sense:1 yα:1 νl:7 suivant:18 eliminaires:2 cours:1 court:1 rapport:2 ensemble:11 fr:2 algebra:1 recollement:2 fa:6 coming:1 eterminer:2 associ:15 grands:3 trois:2 obtient:8 prerequisites:1 etiques:1 twisting:1 grande:1 ega:1 paper:2 y1:1 existence:1 y2:1 ement:67 surtout:1 glide:1 picard:1 affine:1 changement:1 termes:4 yi:17 ecomposition:6 yn:1 ya:5 yb:1 appliqu:2 yf:1 yx:1 yz:10 ces:21 yq:8 faire:8 mathematician:1 porte:2 donc:83 homomorphisme:3 2f:1 2b:2 universit:1 associer:3 2i:3 nombres:4 remercie:1 really:1 engendre:4 valeurs:4 etal:1 asp:1 ast:11 pub:1 dira:1 base:25 dire:16 azumaya:1 asi:8 asn:1 pur:1 contient:11 propriet:1 dedekind:3 esignons:4 egale:4 dont:13 number:2 vectoriels:5 donn:10 passer:2 jeu:1 introduction:3 avec:23 contre:1 conduit:4 ainsi:15 envoie:2 norme:8 part:2 prend:2 translation:2 esign:1 produit:17 supposer:2 dans:115 aims:1 ramener:2 remarque:5 passant:4 nuls:1 aussi:21 indique:2 eaux:10 constructions:4 lin:32 suivants:1 faisant:3 joue:1 suivante:11 mˆeme:20 dernier:1 purement:1 plat:9 compr:1 eaire:23 plan:2 logique:1 ebrique:10 ext:3 deuxi:1 fini:25 relation:21 isomorphismes:5 assertion:3 abelian:1 commutatif:11 notation:3 famous:1 remedy:1 montre:22 conclure:5 arxiv:1 canonique:7 erente:1 endomorphisme:14 ses:1 emontre:2 egales:2 puisque:28 classes:9 conditions:6 hecke:2 effet:13 eomorphisme:3 exercice:2 rudiments:2 efinitions:1 classique:6 point:4 simple:3 grˆ:1 diagramme:6 pr:24 moins:4 discriminant:1 due:1 pa:14 suffisante:1 pn:7 pl:9 pm:1 surjective:5 telle:7 gal:1 eration:1 ǫn:1 erieurs:1 ǫy:1 verticale:1 vol:1 etation:1 facteurs:3 mots:1 ebriques:7 principaux:3 eciproquement:5 grand:1 composition:2 dimk:2 sym:5 etriquement:2 uˇ:2 mot:2 kkkk:2 entre:15 permettent:2 dessous:1 concrete:1 gelfand:1 λz:2 eductibilit:1 contiennent:1 λh:1 ecise:1 algebraischen:1 retrouver:1 rˆole:1 aξi:2 efinition:15 couple:4 demande:1 uniquement:1 compte:3 exactement:3 follows:1 signal:1 ees:10 eel:1 imposer:2 continue:6 stillwell:2 autres:3 suivent:1 some:2 understood:1 b2:2 ouvert:2 efinie:10 rien:1 etablit:4 esulte:1 peu:3 depuis:1 canoniquement:3 pell:1 efinir:4 proc:1 minimal:1 etant:4 localement:6 ba:6 bc:2 bi:3 bj:1 neutre:1 bv:3 diviseurs:1 savoir:1 exemple:11 article:1 bx:3 hilbert:1 bz:1 integers:1 most:1 idu:2 deserves:1 idl:5 idi:2 ceci:5 absurde:2 idb:2 isomorphie:1 isomorphic:1 polynˆ:9 bailly:1 fibr:1 chacune:1 question:3 u0:12 long:1 u2:8 suit:4 sections:1 gauss:4 ailleurs:8 complexifier:1 erons:11 injection:3 raising:1 travailler:1 uz:1 uv:4 eelles:2 munit:1 un:344 munir:1 munis:1 uf:1 chelsea:1 constant:2 defined:1 utilis:4 etails:1 groupes:3 elles:1 ruban:17 application:86 recouvrement:1 fixons:1 introduit:4 problems:1 generated:1 admet:3 polynomiale:5 au:47 esien:1 structure:2 relativement:2 required:1 utiliser:2 moret:1 rencontre:1 ede:5 eaires:9 enseignement:1 results:1 evidente:1 gg:4 proposition:15 gb:2 etait:6 gh:1 compact:2 pouvoir:3 sens:6 objet:4 etermine:1 g1:3 g0:5 continues:1 matrices:2 eve:3 usuelle:1 lˇ:8 zn:1 zi:4 coordonn:5 zz:1 fonction:1 index:1 invertible:9 cela:29 etriques:2 chose:3 morphisme:42 erieur:1 explore:1 les:112 introduites:1 apparaˆıtre:1 papier:1 z1:1 z2:1 beaucoup:3 contradiction:2 products:1 efinies:2 apr:22 manage:1 use:2 elien:7 commun:3 emontrer:4 next:1 injective:6 contienne:1 droites:3 revˆetements:2 equivaut:6 iii:1 ρb:3 entiers:6 ρk:1 pour:114 simplicit:1 proof:1 ach:3 appliquant:1 polynˆome:6 ementaires:2 specialisation:1 titre:3 factorise:2 souvent:3 vient:2 multiplication:2 esentations:1 ou:9 constate:5 classe:5 element:10 lε:2 induit:6 lθ:18 introduisons:4 directe:4 puisqu:3 symbole:3 ordre:8 comme:78 directs:1 le:226 la:232 dispose:1 li:1 lt:3 lu:1 ls:4 morphismes:7 lx:2 revenons:3 factorial:1 trouve:10 landau:3 l1:3 rennes:2 identifier:6 elementary:2 eisenstein:1 cause:2 math:4 longueur:1 que:269 york:4 qui:60 tenant:1 geometry:4 counterpart:1 qualification:1 eciser:1 conjugaison:3 bijection:2 suffit:15 distincts:1 πk:1 πi:1 relations:8 fonctions:3 plupart:1 theorie:1 derniers:1 ber:1 encore:5 induisant:1 faut:17 commutativit:4 angle:1 choisir:1 εv:2 choisit:1 vectoriel:11 seront:2 divers:1 lectures:2 but:3 segment:1 bref:4 bres:1 fact:1 evelopp:1 membres:3 text:3 emonstration:11 passe:1 trivial:1 principal:26 anneau:80 q2:2 based:1 tire:2 varie:1 equences:1 2br:1 equivalente:2 prolong:1 bases:1 suppos:7 lemme:23 libre:37 isomorphes:7 syst:1 montrer:23 etrique:7 trouver:2 outils:1 partie:5 transposition:1 fixes:1 partir:8 rappel:2 qk:3 automorphismes:2 ouverts:1 modulo:4 beaulieu:1 module:126 existe:28 cocyle:2 utilisant:6 ome:9 chemin:1 invariant:1 galoisienne:2 tenu:3 topologiques:1 ends:1 attention:1 utilisons:1 traduction:4 amer:1 ker:5 etr:3 mais:28 cayley:5 ete:3 comment:6 ci:9 ch:3 cn:1 cl:2 ca:3 descente:9 cf:6 ce:51 correspondant:1 cy:5 commen:1 cr:2 undergraduate:1 lorsqu:1 corollaire:3 revient:1 compos:9 explicitement:1 applique:1 choses:1 am:2 bull:1 c2:1 c1:1 multi:1 godbillon:2 provenant:1 indiqu:1 ependants:1 contexte:3 va:10 surface:3 demi:1 contrainte:1 partout:2 lignes:3 vu:10 raison:1 ˆetre:21 perhaps:1 endomorphismes:2 erifi:4 difficult:1 cocycles:2 ecis:4 v1:11 v2:8 supposant:2 premiers:4 correspondent:1 reflection:1 idempotent:5 supposons:5 eralement:1 inversible:84 simultan:1 nov:1 etre:3 usage:1 ebut:5 haut:5 ensuite:3 proprement:1 xe1:1 ayant:2 intersection:2 anneaux:11 δj:2 become:1 ecriture:1 homr:3 espaces:5 ideals:1 scalaires:1 homa:14 homc:2 est:477 avoid:1 ese:9 avoir:3 simples:1 quotients:2 edig:1 extension:5 pu:1 compatible:1 pgcd:9 a2:23 comp:1 introduced:1 pourtant:1 promise:1 mere:1 rappelons:4 van:1 vˇ:2 toutes:1 quadratic:1 arithm:1 essentiel:1 simplement:1 eal:48 eduit:8 construction:7 hg:2 etrie:6 ediate:1 entendu:1 celle:10 int:20 pic:1 eris:1 ins:1 calculer:1 ind:2 education:1 campus:1 ematique:2 seul:1 cˆ:4 comparer:1 agit:8 conclusion:1 fois:2 variation:1 membre:1 analogie:1 eom:11 4n:1 eor:15 |
0704.2484.txt |@word vorticity:2 consider:2 caused:1 magnetic:8 global:3 results:2 leads:4 gd:1 rigidity:2 depend:2 emig:2 ρsa:3 critical:1 squeezing:5 3he:1 marks:2 ρsi:1 ρsh:1 tc:1 case:2 fax:1 string:2 very:1 balls:1 orientations:2 experimentally:2 difference:1 deformations:4 europhys:1 issue:1 anisotropy:21 nattermann:3 applicable:1 large:13 vector:21 small:5 dis:1 application:1 smaller:4 tel:1 disordered:9 consistent:1 sin2:1 pulse:2 zero:4 bose:1 estimated:1 odd:1 theory:2 even:2 what:3 appear:1 bogner:1 shares:2 uniform:15 current:1 experiment:2 above:1 stabilizes:1 increasing:2 ˆl:61 publications:1 body:2 quenched:1 full:1 simultaneously:1 component:1 here:6 agreement:1 cylindrical:3 represented:1 ratio:1 along:10 strong:2 taylor:1 uhnel:1 box:5 almost:2 thirty:1 institute:1 shift:23 study:2 vectors:2 allows:3 completely:3 pinning:5 suggests:4 stiffness:1 published:1 action:2 triad:2 deg:2 makes:2 diameter:1 via:1 scales:6 prefer:1 topological:1 uzz:2 translational:1 condensates:1 unit:2 use:1 would:2 remains:1 positive:2 contains:1 negative:7 giamarchi:2 comparing:1 compensate:1 opposed:1 type:1 theoretical:3 more:4 becomes:4 under:1 correspondingly:1 rigid:2 normalized:1 particular:2 known:1 volovik:9 producing:1 must:1 abundance:2 states:6 account:1 stabilized:1 ma:12 deformed:1 modified:1 london:1 reviews:1 ρs:11 vs:16 values:1 thin:1 ull:1 following:2 example:4 initial:2 transition:6 stated:1 hydrodynamic:2 conjecture:1 sample:9 numbers:1 occur:2 axis:9 rather:3 precessing:1 discussion:1 feature:1 regions:2 how:2 influences:1 optimal:1 bunkov:5 parameter:6 sato:1 nematic:2 fs:1 mat:6 singular:1 may:12 locked:1 immersed:1 after:2 vollhardt:1 diagram:1 plane:4 phenomenological:1 demonstrating:1 fi:1 law:2 data:1 fo:1 short:5 liquid:2 helsinki:1 maybe:1 lines:6 so:5 allow:1 media:1 order:18 interpretation:2 produces:4 itakura:1 over:1 lz2:2 years:1 produced:3 doussal:1 experiments:9 including:1 parpia:1 existence:1 still:2 its:7 le:1 longitudinal:1 manuscript:1 decay:1 energies:1 interesting:3 sα:1 vicinity:1 li:1 destroyed:6 absence:1 microscopic:3 fig:17 mail:1 main:1 fin:1 deformation:10 non:2 pure:1 similar:1 landau:1 effects:3 half:2 dmitriev:3 now:1 yu:5 discuss:3 bigger:1 susceptibility:1 term:2 fully:4 university:1 sufficiently:5 magnitude:5 l2:2 l3:1 reasonable:1 each:1 2m:1 identifies:1 energetically:1 characterized:4 mean:1 orientational:10 domain:1 ei:3 energy:15 hard:1 ea:8 idea:1 related:4 bradley:1 inhomogeneous:1 frequency:25 interplay:2 reached:1 quantum:4 laboratory:1 eq:13 description:1 network:1 space:3 gradient:4 since:4 induces:1 research:1 acting:1 investigation:2 dsk:1 denoted:1 ref:8 occurs:1 shows:1 foundation:1 zˆ:4 linear:1 found:2 olfle:1 differ:1 reason:1 necessarily:1 estimate:1 hysteresis:1 pairs:1 interaction:2 chiral:5 geometry:1 could:2 finland:2 imry:11 times:1 counterpart:1 tor:1 length:10 place:2 isotropic:1 δik:1 first:3 pairing:1 symmetry:2 number:2 clear:1 glassy:1 defects:2 another:3 compensated:1 thick:1 open:3 angular:1 size:4 unexplained:1 salient:1 temperature:4 indicate:1 introduction:1 leading:1 system:6 relations:1 pinned:3 their:1 cooling:1 observations:1 realization:1 perfectly:1 low:4 kf3:1 academy:1 moscow:1 continuous:4 transverse:9 hut:2 part:1 favorable:1 somewhat:1 than:5 distance:3 bec:3 depends:1 correlators:1 superfluid:32 determined:3 doubly:3 larkin:13 tipping:5 russia:1 pre:1 rainer:2 vicente:1 correction:1 spectrum:5 randomly:8 relatively:1 chem:1 angle:6 mermin:2 depending:1 lim:34 latter:1 responsible:2 oriented:9 take:3 terentjev:1 destroy:3 aoyama:2 mˆ:2 fundamental:1 qlro:3 shall:1 jsi:1 impurities:1 most:3 regular:7 connected:1 phase:15 acknowledgements:1 inserted:1 trapping:1 salomaa:1 deviations:1 kf:1 neighboring:1 average:1 coincides:1 fluctuations:1 principle:2 subsequent:1 velocity:6 physics:2 gain:1 superfluidity:3 random:11 wehr:1 rotating:1 relation:2 expressed:1 keywords:1 subtle:2 magnons:1 find:1 based:1 parameters:3 distributed:3 outside:1 texture:8 should:3 micron:1 rich:1 adequate:1 local:1 oct:1 equilibrium:1 abelian:2 get:1 dependent:1 uniaxial:2 preferred:1 cannot:2 probably:1 dr:1 precession:2 bar:2 temp:1 arxiv:7 paper:1 predicted:2 though:2 through:1 berezinskii:2 fomin:3 hβ:1 correlations:1 observed:9 see:5 individual:1 sec:4 result:5 enhanced:1 discussions:1 recently:1 phases:1 macroscopic:1 dipole:1 favor:1 state:42 ereg:1 closed:1 between:13 limit:4 boundary:1 conditions:1 lun:1 gives:2 terms:5 ability:1 nature:1 suppresses:1 weak:5 however:4 ascribed:1 concentrate:1 jk:2 group:1 ferromagnet:2 problem:2 thank:1 cos:5 last:1 many:4 region:3 according:8 objects:2 variance:2 estimation:1 finds:1 con:1 strongly:1 relevant:1 simple:1 corresponds:2 nˆ:5 homogeneously:1 stretched:2 path:1 unusual:1 jetp:8 described:1 feldman:1 persists:1 due:6 tiny:1 much:2 ωmax:2 anisotropic:6 inˆ:1 anomalously:2 uik:3 systems:1 life:1 corresponding:2 easy:8 suppress:2 coherence:1 subspace:1 bulk:3 coherent:2 external:2 spin:13 applied:6 novel:1 pacs:1 estimations:1 value:2 mulders:1 will:5 while:8 behavior:4 applies:1 squeezed:2 abrikosov:1 characterizing:1 cylinder:2 stretching:4 orientation:8 eran:2 refs:2 thus:2 surface:2 ii:3 middle:1 ij:1 cond:6 technology:1 orbital:7 different:8 grant:1 suggest:1 same:1 fedorenko:1 helium:1 finite:1 efetov:2 independent:2 used:1 numerical:1 effect:17 hand:4 moment:1 infinite:1 robust:1 recent:3 kept:1 well:1 solids:1 components:1 easily:1 model:3 magnon:2 left:5 restore:1 magnetization:1 proposed:1 golubov:1 superconductors:2 questions:1 llim:23 tcb:1 tca:4 density:12 boojum:1 killed:1 lattice:2 valid:1 transformed:1 lett:14 samples:1 consideration:1 mod:1 plasma:1 momentum:2 represents:3 tc2:1 possible:4 boxes:1 background:1 confined:4 integer:1 occurring:2 like:4 lost:1 follows:1 collective:7 porous:1 alice:1 ignore:2 vortex:5 history:1 superflow:4 either:1 become:1 conclusion:1 disorder:9 reduced:2 because:4 old:1 vortices:7 lˆi:1 phenomena:1 competition:1 understood:1 extended:1 nonzero:2 pronounced:1 scale:4 cooper:1 lead:1 unlocked:2 demonstrates:1 measurements:1 does:2 demonstrated:1 destroys:2 nmr:23 minimization:1 journal:1 conventional:1 reduces:1 eiφ:1 francis:1 dictated:1 properties:8 about:3 dˆ:10 surprizing:1 discussed:4 dependence:5 o:1 range:12 restoration:1 skyrmions:9 contours:1 rev:15 presence:2 into:1 within:1 integral:1 tanaka:2 right:4 references:1 been:4 einstein:1 proportional:2 ea2:1 statistics:2 compression:1 elastic:1 intrinsic:1 support:2 there:3 long:6 describes:1 editor:1 way:1 was:4 hz:3 survives:1 kosterlitzthouless:1 enough:1 metastable:1 superfluids:2 but:6 pelcovits:1 illuminating:1 aµ:1 ho:3 larger:1 russian:1 line:12 removed:1 he:36 absent:1 made:1 cylinders:6 circulation:4 characteristic:1 maximum:1 us:5 historically:1 below:3 fermi:1 demonstrate:3 ωc:1 strands:6 called:2 expect:1 detailed:1 instead:1 khz:1 required:1 ordered:1 pin:1 defined:1 flow:1 abstract:1 influence:1 direction:4 general:1 single:2 ikeda:2 simulations:1 aerogel:51 kl:1 compared:5 petridis:1 nm:4 nn:1 no:1 when:12 power:2 field:12 tin:1 other:4 role:1 normal:1 nr:1 hpd:2 polar:1 perpendicular:1 pisma:1 generates:1 problems:2 generated:2 important:2 ξa:10 ξd:9 structure:1 zhetf:1 condensation:1 coupling:3 factors:1 orbit:5 fso:2 4m:1 mass:1 resembles:1 cores:4 khasanov:1 strings:8 |
0704.2485.txt |@word mnx:1 sci:3 remarkable:1 illustrates:1 particular:3 bandgap:1 results:4 illustrated:1 ga:5 saturating:1 remarkably:1 adjustment:1 contributions:1 cases:1 layers:8 certainly:1 fzu:1 description:3 rayleigh:1 ergy:1 finally:1 behave:1 th:6 under:1 ık:1 tb:6 cm2:1 maximum:1 applied:1 supported:1 kolesnik:1 straightforward:2 desirable:1 activation:1 rise:1 springer:1 electron:3 expectable:1 difference:6 orifice:1 leads:4 level:2 transmission:7 turns:1 small:4 thermocouple:3 pbn:1 prevent:1 smaller:1 disordered:1 filled:1 rate:3 enclosed:1 further:4 port:1 even:2 transfer:1 r123:1 opaque:1 ohno:1 while:1 supplied:1 thickness:1 cell:2 experiment:1 above:4 new:3 net:1 increasing:4 acknowledgments:1 contrast:2 body:7 chose:1 exchange:7 respectively:3 emissive:1 atoms:1 ionization:1 reported:1 mev:1 brooks:1 midinfrared:1 relaxation:1 alone:1 based:1 strong:3 appears:2 change:13 acceptor:1 obtained:1 incoming:1 spite:1 institute:1 involved:3 larger:1 allows:1 reason:1 later:1 narrow:2 changes:6 options:1 plotted:1 composed:1 diameter:1 via:2 mobility:1 apr:1 app:1 explained:1 h3:1 plenum:1 ts:13 vac:2 visible:1 decrease:1 vit:1 1st:1 total:1 planck:3 σss:2 readily:1 gaas:13 takes:3 would:5 remains:1 uncritical:1 disregarding:1 black:1 until:1 reflects:1 more:3 separated:1 clearly:1 initial:2 ti:1 emission:3 validity:1 berlin:1 virtue:1 varying:2 hole:1 mounted:8 iii:4 must:1 high:4 account:1 locked:1 room:3 integrating:1 mm:1 science:1 equation:2 mn:21 tc:5 ashcroft:1 zhao:1 assumptions:1 stabilizes:1 temperatures:7 growing:2 making:1 closing:4 example:2 stimulating:1 numbers:1 control:3 f1:2 radiance:3 5c3:1 wang:1 figure:1 attribute:1 preserving:1 neglected:3 sample:5 minimum:1 performed:1 mermin:1 quasistationary:3 keep:1 occur:3 bonded:4 verlag:1 respective:1 end:1 varied:1 s2:2 discussion:1 holds:1 arrangement:1 delay:1 hot:1 influences:1 simplifies:1 place:1 parameter:2 filament:1 exponentially:1 simplicity:1 sandwich:1 mat:1 may:1 after:8 davis:1 spectrometer:1 law:5 data:1 response:1 constants:3 goal:1 short:2 effective:4 ss:2 light:1 spectra:6 lines:5 correspond:2 maintain:1 so:1 fundamental:2 order:5 wavelengths:7 olejn:1 interpretation:1 feedback:1 indeed:1 over:1 mainly:2 stability:1 thermal:8 experiments:2 including:1 affect:1 oswald:1 still:1 its:11 before:3 perfect:1 regions:1 thence:1 interesting:1 temporal:3 solving:1 li:1 degrees:3 fig:14 unbounded:1 main:4 possessing:1 overcome:1 them:1 usa:1 gray:1 propose:1 material:1 band:12 identically:1 nov:1 yu:1 transparent:1 nor:1 represents:1 february:1 always:1 presented:1 2d:2 realistic:1 vibrations:1 reasonable:1 each:3 ts4:3 sato:1 bak:1 prevailing:2 heavy:1 domain:5 en:1 ed:2 growths:3 ea:1 approximates:1 related:1 mackenzie:1 measurement:1 our:1 approximated:2 transitions:1 eq:3 special:1 out:3 shown:6 impurity:1 electronic:2 since:1 increase:13 investigation:1 induced:2 ref:3 correct:1 chemically:1 inevitably:1 linear:4 mechanisms:1 given:1 free:18 completely:2 besides:1 estimate:2 r1:1 r2:1 determining:2 could:3 emittance:4 times:1 turn:1 flanders:1 diffuser:1 massive:3 tempting:1 assumed:2 consequence:1 eqs:2 substrates:4 first:3 already:3 features:2 sawicki:1 meet:1 number:1 channels:1 done:1 spots:1 another:1 impossible:1 thick:5 fluxes:1 quality:1 differ:2 necessarily:1 temperature:62 introduction:1 leading:2 top:3 system:4 their:8 regulation:1 appl:3 too:1 cooling:2 structures:2 final:1 inefficient:1 johnson:2 explanation:1 serve:1 sublayer:1 ascr:1 interband:1 part:5 somewhat:1 absorbs:1 holder:6 than:5 distance:1 perfectly:1 determines:1 unfortunately:1 showed:1 accordance:1 intensity:1 edmonds:1 str:1 were:4 bes:6 kf:3 solely:1 sees:1 explicit:1 half:1 spectrum:4 curves:5 yielding:1 novak:1 substantial:1 unlikely:1 seen:1 constrained:1 occupied:1 linked:1 contents:1 complete:2 sandwiched:1 angle:2 zero:1 latter:1 responsible:1 cardona:1 mid:1 mechanism:3 k3:2 edge:7 absorbed:3 take:1 neither:1 negligible:4 relaxed:1 channel:1 accuracy:1 recurs:1 spectral:4 towards:2 unless:1 normal:1 buffer:1 reach:2 simplify:1 boltzmann:1 connected:2 significant:4 pair:3 capacity:1 measured:6 kb:1 observation:1 radiating:3 considered:1 calculated:1 adopt:1 steady:5 repeated:1 electrons:1 principle:1 exp:2 incorporation:1 consisted:1 physics:3 lying:1 parker:1 show:2 absorbing:4 doped:7 infrared:5 rotating:1 solutions:5 rough:1 longer:2 find:1 xmn:2 slow:1 ratio:3 parameters:7 conduction:1 representing:1 less:5 state:6 only:3 ksa:1 factor:5 thompson:1 equilibrium:3 plate:2 his:1 means:1 dependent:1 αf:9 beam:1 cannot:1 eras:1 tungsten:1 during:8 dt:1 gen:1 following:3 evolution:4 substrate:58 densities:1 molybdenum:1 indicated:1 arxiv:1 summary:1 λp1:3 λp2:3 common:1 characteristic:1 through:1 fixed:1 cells:7 view:3 monochromatic:1 reveals:1 set:1 physically:1 generally:1 transferred:1 observed:4 depends:1 quantitatively:1 enhanced:1 discussions:1 close:1 optimum:1 lee:1 surfaces:1 radiates:1 αs:4 cole:1 mechanically:1 phonons:1 missing:1 µm:7 behind:2 various:2 epitaxial:1 between:10 geometric:1 numerous:1 wide:2 comparable:1 terms:9 reproduced:1 vertical:1 opening:8 weak:2 however:6 equals:1 efficiency:3 configuration:1 distribution:1 both:3 waterman:1 region:3 uncertainty:1 heating:6 attributed:1 bandit:1 etc:1 connection:1 figures:1 dated:1 iv:2 irradiated:1 holders:1 safely:1 arbitrarily:1 relevant:6 cm:1 simple:1 sheds:1 address:1 jeans:1 corresponds:1 ga1:1 anticipatory:1 grants:1 simply:1 program:1 moreover:2 ct:1 considering:1 pp:3 described:1 tuning:1 second:1 lattice:1 radiative:2 due:6 been:2 damping:1 inadequate:1 expected:2 hardly:1 systems:3 arises:1 corresponding:4 sufficient:1 gap:6 places:1 dramatic:3 textbook:1 angles:1 diffuse:2 those:1 emittances:1 case:3 pacs:1 solid:4 value:2 heidelberg:1 technical:1 near:4 behavior:2 shift:5 balance:2 taking:2 buried:4 reflectance:1 layer:14 almost:2 characteristics:2 ir:5 thus:3 surface:2 according:4 ii:6 vs:1 cond:1 against:1 technology:1 increased:1 grown:3 different:3 prevail:1 make:1 th4:3 radiation:4 lett:1 same:8 any:3 shorter:3 parts:1 nonphysical:1 inch:1 dimensionless:2 several:2 capacities:2 difficult:1 used:5 absorb:1 effect:4 hand:2 insulating:1 levels:2 cr:1 contribution:2 identity:1 dopant:1 weakly:3 reflection:1 scenario:1 framework:1 acknowledge:1 ingredients:1 well:2 undoped:7 without:1 solve:1 does:1 simulated:1 om:1 model:13 bodies:5 usual:1 bottom:1 proposed:1 heavily:2 being:1 lavoie:1 ambition:1 wagner:1 obtain:1 sources:10 shape:1 predicts:1 sufficiently:1 alternative:1 yet:2 note:1 density:2 absorption:27 had:1 source:9 unambiguously:1 bigger:1 samples:3 input:1 semiconductors:1 identical:1 around:2 big:1 tc4:2 b11:1 term:2 foxon:1 early:1 increases:3 background:3 gamnas:13 press:2 using:3 highly:1 precipitation:2 moe:1 like:1 cz:1 follows:1 holes:2 specific:1 flux:4 yields:3 fully:2 evolutions:4 valence:2 stationary:2 reduced:2 mathematical:1 effusion:2 exposed:1 czech:1 plausible:2 some:1 back:1 ah:5 growth:25 doping:9 proper:1 little:1 pronounced:1 zhou:1 lead:2 chamber:3 broad:1 stages:1 integration:1 esf:1 critical:1 eliminate:1 conclusions:1 fon:1 biased:1 power:7 journal:1 stefan:1 agreement:2 shifting:1 inherently:1 about:1 central:1 ferromagnetic:1 most:1 piecewise:1 discussed:1 bonding:1 essential:3 range:9 carrier:5 obeys:1 transients:1 gallagher:1 emissivity:1 heater:11 cambridge:1 letters:1 2ts:1 presence:2 mbe:5 into:1 getting:1 lies:1 schemes:1 500µm:1 determine:1 proportional:4 additional:3 area:2 extremely:1 there:3 question:2 long:3 absolutely:1 accordingly:1 detectable:1 low:5 molecular:1 decisive:1 was:8 assumes:1 function:1 elsewhere:1 form:1 enough:1 fundamentals:1 simplifications:1 becoming:1 but:2 failure:1 heat:21 magnitude:1 contradictory:1 scope:1 hc:1 line:1 trying:1 considerable:1 shutters:1 especially:3 campion:2 absent:1 applying:1 consist:1 epitaxy:1 mtrl:1 inside:1 variations:1 absorptance:9 us:1 work:2 crystal:2 spectroscopy:3 problem:1 piece:1 similar:1 strongly:5 ac:17 ab:4 constant:7 links:1 up:1 ai:1 certain:1 ak:1 describe:2 covers:1 general:1 single:1 praha:1 dλ:2 wavelength:7 floating:2 explains:1 distributions:1 physical:3 compared:1 paradox:1 nm:8 no:5 dashed:3 whereas:1 when:5 application:1 other:5 republic:1 becomes:2 deviation:1 explaining:1 excitation:1 problems:1 kirchhoff:2 variation:1 meaning:1 important:2 technol:2 disclosed:1 hemisphere:2 structure:3 opened:5 independently:1 condensation:1 sadowski:1 coupling:1 gacr:1 values:2 interval:2 curve:5 persistent:1 governed:1 phonon:10 fact:1 time:10 starting:2 |
0704.2486.txt |@word limited:2 rol:5 consider:3 remarkable:1 switched:1 hint:1 luminosities:2 l163:1 results:20 integration:1 four:2 spacecraft:1 stops:1 covered:2 remarkably:1 l13:1 contributions:1 ryde:1 salmonson:2 whose:8 challis:1 technique:2 vs:10 mahabal:1 finally:4 ny:1 th:3 under:2 tf:7 stochastic:1 characterised:2 dramatically:1 cenko:7 case:12 updated:1 confirmation:1 mpc:1 broadly:2 zhang:5 very:7 frequencies:1 implicitly:1 istituto:1 none:2 ugarte:1 choice:5 every:1 additional:3 anonymous:1 telling:1 vlp:21 kann:1 difference:1 rn:12 common:1 severely:1 pre:1 propagating:1 tanvir:4 level:6 did:2 turns:2 who:1 fewer:1 selections:1 large:1 fugazza:6 team:3 small:4 becker:2 falco:1 concluded:1 upper:5 work:4 trend:1 consistent:8 progenitors:1 approximation:1 photospheric:1 schaefer:1 value:8 equal:1 chen:5 further:2 estimated:3 mason:1 circulars:1 index:3 what:1 errors:1 appear:1 norris:6 section:1 selected:2 supplied:1 uniform:1 consistently:1 experiment:1 above:8 fiore:1 new:4 increasing:3 method:4 nakamura:2 coefficient:2 bonnell:3 processing:1 hypothesis:3 chose:3 valle:1 respectively:6 presence:6 l1:1 here:1 analysed:1 behaviour:2 reported:8 focused:1 others:1 represented:2 ratio:2 november:2 strong:3 table:11 appears:2 galilei:1 obtained:19 scienze:1 numerator:1 precursor:1 larger:1 allows:1 reason:1 denominator:1 ignoring:1 stella:1 survey:4 poisson:2 published:1 correct:2 prochaska:6 studi:1 suitable:2 studies:1 missing:1 fitting:5 via:3 useful:1 ours:2 extra:4 apr:1 requiring:1 explained:2 z1:1 private:1 replace:1 reichart:9 visible:1 050416a:8 aimed:1 counts:12 total:14 establish:1 estimate:1 kobayashi:2 remaining:5 standing:1 ftool:2 use:3 guidorzi:17 would:1 probabilities:1 summarised:1 tightly:1 next:2 discrepancies:1 vol:1 therefore:9 criteria:1 4πdl:1 unexplored:1 pipeline:1 selects:3 until:1 more:8 excluded:3 becomes:3 acceptable:2 ascribe:1 emission:6 space:1 batse:2 tested:8 appendix:3 yonetoku:3 basically:1 particular:9 known:7 kulkarni:3 cases:8 hold:1 must:1 sample:54 account:5 ghirlanda:7 hoeflich:1 steidel:1 ed:1 science:2 originally:3 mn:1 modified:1 magee:1 ronning:4 levan:3 erg:11 values:15 thin:1 ms:5 backgroundsubtracted:1 following:5 making:1 scatter:10 vary:1 performed:1 spearman:4 prompt:6 figure:8 give:1 calculation:1 expanding:1 referee:1 high:14 weighting:1 lorentz:1 calibration:1 sharp:1 spanning:1 times:3 breaking:1 jensen:4 axis:1 lamb:1 information:1 rays:1 end:1 compatibly:1 noises:1 rather:2 s2:6 discussion:1 six:5 gcn:43 delay:1 how:1 hjorth:4 cline:1 instead:4 ignore:1 parameter:1 priori:1 conceived:1 profile:6 map:2 2006e:2 description:4 corroborates:1 lag:2 derived:7 different:21 disable:1 firmani:4 requirements:2 law:17 data:19 response:2 2006d:4 collecting:1 correlate:3 light:35 correspond:1 cosmology:1 encompassing:2 secs:1 maintain:1 so:4 allow:1 correlation:63 definitions:3 fireball:1 passband:1 order:5 bins:6 fregate:1 wavelengths:1 tagged:6 holds:2 interpretation:1 elia:2 berger:18 eiso:8 essence:1 pointed:1 eqs:2 mainly:3 mission:1 osservatorio:1 produced:1 paper:3 through:8 statistical:9 cuts:1 differs:2 existence:2 fynbo:14 still:6 vari:1 its:9 galaxy:2 before:2 regions:5 style:1 derive:1 lc:1 fit:6 la:1 energies:1 interesting:1 temporal:5 fenimore:5 l76:1 coordinates:1 li:9 better:3 detected:8 fig:8 garg:1 inaf:3 mail:1 main:2 might:1 setting:1 tentatively:1 them:3 usa:1 affected:3 squares:3 combination:2 entire:2 impulses:1 docs:2 negueruela:1 runs:1 investigated:1 break:2 band:20 example:1 they:9 tagliaferri:1 change:1 transparent:1 channels:1 february:1 hereafter:12 2s:1 fully:3 university:1 merge:1 bursts:17 mode:8 barthelmy:5 found:17 universit:1 higher:7 processes:1 side:2 mean:1 homogeneous:12 weighted:1 telescope:1 weight:1 subset:1 energy:34 grbm:2 gaussian:2 celebrating:1 grbs:87 extended:1 calibrate:1 measurement:1 gorosabel:3 our:20 differ:2 eq:4 event:6 out:14 ultimately:1 fluxes:1 missed:1 rs:2 furthermore:1 since:3 crucial:1 unknown:2 research:1 mnras:9 studying:1 nominal:1 dominated:1 hill:3 reader:2 denoted:3 formula:2 51s:1 gov:2 supports:1 ri:9 rj:4 shows:7 realisation:3 after:2 linear:1 marani:1 retrieved:1 confidence:6 mechanisms:1 fisica:1 free:1 standard:5 completely:2 amati:17 term:2 elsewhere:1 asi:2 led:1 beginning:1 e0:3 shortest:1 software:1 definition:17 cgro:1 regarding:1 launch:2 determining:1 could:2 v2:1 keep:1 filter:6 turn:1 4th:1 isotropic:4 assumed:6 corrections:2 2005a:6 2005b:6 first:8 origin:1 ability:1 already:6 probability:5 merate:1 gladders:2 assumptions:1 number:14 malfa:1 clear:1 smaller:1 specifically:1 another:1 spaziale:1 quality:1 ser:1 given:9 checked:1 discussed:1 jet:2 introduction:1 bloom:8 extrinsic:3 adopted:3 their:13 confirming:2 rates:8 too:5 slewing:1 white:1 perfectly:1 frame:12 2005c:4 holden:1 correlations:5 way:1 tool:4 uvot:2 took:1 lowest:1 released:2 binned:1 lazzati:1 frascati:1 somewhat:1 review:1 scargle:1 imposing:2 than:11 coefficients:4 center:1 distance:1 kind:2 celotti:1 threads:1 effective:2 l45:1 dupree:2 sections:1 measured:4 rate:6 modelled:1 l25:1 telting:1 matter:1 determined:2 observer:2 supposed:2 hurley:2 were:4 sec:4 anomalous:1 counting:2 underluminous:2 exhibit:2 function:2 starling:1 turned:6 spectrum:10 curves:18 chapman:1 raw:5 shell:1 variable:4 compression:1 ledoux:2 close:1 seen:1 null:3 apparently:1 any:6 ray:8 lie:2 angle:3 built:1 zero:3 depending:1 golay:2 sakamoto:5 apj:14 onset:1 instance:2 find:6 2006a:10 2006c:2 2006b:10 finding:1 xrt:1 detector:5 channel:3 reese:1 circles:6 klose:1 sure:1 relatively:3 normal:3 boxcar:1 price:3 roma:1 sequence:1 most:4 connected:3 printed:1 significant:14 formulae:1 acquired:2 σri:9 intrinsic:8 inconsistency:1 latex:1 empirical:1 observation:1 surprising:1 considered:6 average:1 adopt:1 implications:1 inferred:1 km:1 ramirez:8 050820a:1 kaufer:1 aip:1 cucchiara:4 constrain:3 typical:1 sigma:3 sum:1 fact:11 laws:1 slope:6 selection:3 particularly:2 show:9 text:1 lay:1 supported:1 bin:3 discovered:2 purely:1 bicocca:1 relation:3 lloyd:4 threshold:2 ftools:1 especially:1 consequent:1 debate:1 ground:1 removed:2 based:1 savitzky:1 variables:1 should:3 window:1 distributed:1 negligible:1 peculiar:1 only:10 factor:1 acknowledge:1 g05:4 pegged:1 over:2 ruiz:8 thompson:1 do:2 dl:1 dominant:1 invoke:1 di:4 hete:2 restframe:1 de:2 overall:1 brera:2 agostini:5 lowluminosity:4 watson:1 october:1 words:1 probably:1 report:2 during:6 t90:10 routine:3 comply:1 areas:4 disabled:1 bat:57 pearson:3 morgan:1 050525a:6 luminosity:49 arxiv:1 public:1 whether:4 processed:1 fitted:4 pulses:1 illingworth:1 l47:1 ignored:1 requirement:1 set:6 computed:2 reference:3 burst:14 bias:1 systematics:1 sensitivity:2 testing:1 xrfs:1 observed:7 mentioned:1 see:12 radius:1 result:5 ignores:2 checks:1 terms:4 best:6 statistically:1 outlier:1 aros:2 a3:1 away:1 opening:1 definite:1 enough:1 various:2 covino:2 between:15 affecting:2 drawn:1 boundary:1 contaminated:1 lum:1 available:4 variability:40 comparable:2 cristiano:1 recently:4 reproduced:1 nature:4 importance:1 weak:1 focus:1 ascribed:1 however:3 spectroscopic:2 gratefully:1 york:1 comm:1 key:1 clues:1 kev:28 swift:27 problem:1 vrm:1 thank:1 suggested:1 both:9 interpretations:1 σlog:5 last:1 resides:1 fnp:8 treated:1 region:4 uncertainty:5 according:9 against:1 called:1 fulfilled:1 propagation:1 merging:2 xspec:1 l73:1 prin:1 variance:14 contribution:3 kouveliotou:1 adapted:1 nearby:1 cj:4 unclear:1 cm:1 conclude:3 simple:2 poissonian:6 inc:1 corresponds:1 except:2 chincarini:1 perley:2 anti:2 yi:3 respect:4 avila:1 ioka:2 described:1 second:1 source:3 addition:4 nysewander:4 due:10 been:16 expressed:3 yam:1 extraction:2 bianchi:1 combined:1 likewise:1 collected:1 ph:4 outliers:7 galama:2 empty:3 firm:5 describe:1 flight:1 frontera:2 jelinek:1 concerning:5 jaunsen:1 photon:5 binning:7 flatfield:1 gal:1 determination:4 astron:1 despite:2 evidence:4 djorgovski:1 former:2 those:12 applied:5 schmidt:1 limits:4 unlike:3 romano:2 solid:1 variances:1 reliable:1 ij:4 nski:8 evaluated:1 choices:2 aim:2 while:9 rau:1 realisations:1 aij:1 delle:1 taking:1 procedure:2 unsatisfactory:1 detailed:1 studied:2 reddy:1 almost:2 piranomonte:2 thus:2 duplicating:1 apjs:1 fitexy:2 fox:7 vr:43 itself:3 reports:1 conf:1 bepposax:2 comments:1 l50:17 vreeswijk:5 confirmed:3 confirms:2 italy:5 postigo:2 grant:1 perform:1 acknowledgments:1 make:2 cumulative:1 radiation:1 roman:1 same:12 clearly:3 unity:1 parts:1 big:1 resulting:4 several:1 events:1 difficult:1 independent:2 satellite:1 used:14 http:2 closest:1 jakobsson:15 numerical:1 alert:1 constraining:1 viewing:1 investigates:1 v6:1 interested:2 adopting:1 tighter:1 lower:6 shaded:3 off:1 piazza:1 nevertheless:1 whole:1 random:5 tentative:1 well:10 analysis:7 non:4 thought:1 patterns:1 without:1 mcgowan:2 residuals:1 sets:6 l101:1 model:1 plotted:1 parametric:3 comprise:1 know:1 r01:25 distances:2 xrf:2 proposed:1 less:1 being:1 generally:1 accurate:1 obtain:2 rest:14 inadequate:1 sources:1 identify:1 thanks:1 ωm:1 alternative:1 ministry:1 previous:7 letting:1 note:6 extracted:3 photons:2 point:1 seems:1 mask:11 density:2 improvement:1 reasons:3 belongs:1 montanari:2 instrument:1 samples:4 usage:2 coded:3 rmax:2 unprecedented:3 match:1 real:2 tests:2 bij:1 around:7 putative:1 represents:1 bands:3 showing:1 astronomico:1 disagreement:1 possible:7 moller:1 nemiroff:1 shallower:1 mon:1 background:11 using:8 moreover:1 apart:2 palermo:2 060607a:1 zu:1 systematically:3 contradict:1 signal:1 kennedy:1 νf:1 latters:1 flux:1 benefit:1 either:4 sezione:1 arbitrary:1 become:2 works:1 interestingly:2 replacement:2 therein:1 tirado:2 because:6 methods:2 deal:1 truncated:1 some:5 fixing:1 scatters:1 b2:1 redshifts:1 duration:2 little:1 matching:1 exists:1 provided:8 scale:3 confirm:2 avoid:1 measurements:1 recorded:1 esz:2 per:3 papoulis:2 circ:42 does:4 masked:2 conclusions:1 assuming:3 compute:1 gsfc:2 yielded:1 highfrequency:1 refer:2 foley:6 lags:1 paczy:8 noise:9 workshop:1 paciesas:3 power:18 plot:1 equivalent:3 each:13 agreement:4 bj:1 host:2 percentile:2 although:5 offset:1 post:1 normalisation:1 properties:3 earlier:1 noisy:1 comparison:2 about:1 amado:1 mcgraw:1 universe:1 dozens:1 year:2 dependence:2 greater:1 quimby:2 compatible:1 fishman:1 important:1 ensure:1 ghisellini:3 pillai:2 shared:1 apjl:3 introduced:1 slightly:3 kendall:4 gamma:3 cummings:2 cutoff:2 soc:1 atteia:2 redshift:17 precisely:1 instruments:3 into:3 within:5 obtaining:1 gomboc:2 down:1 lies:2 gehrels:3 references:3 castro:3 estimators:1 smette:1 refined:2 rossi:2 significantly:1 descriptions:1 uncertainties:6 detectors:3 statistics:2 degli:1 log:1 shells:1 fluctuate:2 construct:1 there:3 long:8 smoothing:6 dispersion:1 meegan:1 accordingly:1 trigger:3 low:25 liang:2 starr:1 resulted:6 slopes:1 was:19 contiguous:1 assumes:1 coarse:1 files:1 underestimated:1 rees:1 illuminated:1 gammaray:1 differences:2 but:6 astro:3 taken:2 properly:2 reed:1 gain:1 mundell:2 cosmica:1 line:1 highest:1 true:3 considerable:1 subtracted:7 count:4 submitted:2 made:5 rejection:1 hartmann:1 default:1 shrunk:1 variations:1 us:1 dof:6 follows:1 frequency:3 limit:5 fluctuations:4 distribution:10 piece:1 similar:2 calculated:5 strongly:1 fluence:2 required:1 proved:1 malesani:1 defined:2 milano:2 abstract:1 measure:5 proven:2 general:2 single:8 enable:1 file:5 simulations:1 accounting:1 bestfitting:1 archive:2 defines:1 macfadyen:1 functions:1 compared:3 entirely:2 no:15 extract:1 whereas:1 when:8 ep:26 members:1 grouped:2 narrowing:1 other:5 grb:53 details:3 ofek:1 papers:1 test:6 soderberg:2 shin:2 kelson:2 page:2 conclusion:1 optically:1 consis:1 wheeler:1 astrofisica:1 expected:3 searched:1 shown:6 includes:1 a1:3 generated:1 a2:2 afterglow:1 peak:45 accounts:1 included:2 astronomy:1 fraction:2 matrix:1 instrumental:2 longer:1 corresponding:3 physics:1 odds:1 interval:10 curve:18 pseudo:3 rule:1 portion:1 nasa:2 correlates:5 incomplete:1 time:27 far:1 starting:1 original:7 normalized:2 |
0704.2487.txt |@word gs:1 consider:2 gp:11 results:1 leads:1 eε:1 higher:1 ga:4 follow:1 4e2:1 nwo:1 takesue:1 semiconductor:1 calculate:3 khveshchenko:1 tr:1 tn:8 th:1 andreev:7 case:2 random:3 g0:14 hartog:1 wave:4 electron:10 figs:1 fal:3 morpurgo:1 difference:1 matrices:5 incoherent:3 level:3 transmission:1 solution:1 vector:3 conductances:1 small:1 eigenvalues:1 disordered:2 hori:1 prediction:1 konstanz:2 value:5 gn:2 further:1 ues:1 linear:2 what:1 stands:1 stoof:1 sum:1 analogously:1 thickness:1 current:3 experiment:1 goes:1 method:1 cheianov:2 high:1 degree:2 respectively:2 clerk:1 spacing:1 here:4 mes:1 represented:1 path:1 superconductor:7 box:1 samuelsson:1 ducting:1 study:2 larger:1 resulting:1 via:1 apr:1 integrations:1 katsnelson:1 highly:1 decrease:2 total:1 use:4 takes:2 would:1 tn2:1 probabilities:1 type:2 theoretical:1 more:1 lowering:3 conductor:1 becomes:3 artemenko:1 normalized:1 thouless:2 known:2 hole:7 analogous:1 pseudospin:2 sample:1 tunnel:6 science:3 equation:1 values:2 temperatures:2 den:1 im:4 drops:1 example:1 control:1 escapes:1 process:2 dependence:1 topic:1 lorentz:1 numbers:1 novoselov:1 sense:1 tan:1 occur:1 end:1 carriers:1 provide:1 orthogonal:2 regions:5 τdwell:3 gate:5 toyoda:1 ensemble:3 profile:2 simplicity:1 explores:1 mat:2 replacing:1 titov:1 law:1 parallel:1 quasiclassical:4 su:2 kapteyn:1 so:4 definitions:1 chien:1 order:4 reservoir:1 pointed:1 vary:1 silvestrov:2 thermal:2 paper:1 through:4 still:2 excitations:1 its:1 refs:1 before:1 chandrasekhar:1 directional:1 chosen:1 zaitsev:1 decreases:1 forms:1 lw:1 fig:7 lq:1 covered:1 main:1 eur:1 maximal:1 junction:12 adjacent:1 band:4 effects:1 they:2 instead:1 now:3 yu:4 hall:1 2t:1 brouwer:2 netherlands:1 dirac:3 university:1 hamiltonian:1 sin:7 sugiyama:1 2e:1 magnitude:1 transmitted:1 mode:2 each:1 found:3 efetov:2 mean:2 preceded:1 differential:2 series:8 energy:5 ef:2 related:1 conductance:26 literature:1 interplay:2 measure:1 quantum:9 ev:6 eq:6 out:3 shown:1 neff:4 matrix:5 space:6 rev:16 research:1 increase:2 may:5 acting:1 ra:1 dutch:1 formula:2 instituut:1 induced:1 ref:3 occurs:1 math:1 shows:1 foundation:2 aˆn:1 theory:4 mechanisms:1 voltages:1 free:1 aˆs:1 pairs:6 pannetier:2 length:3 klapwijk:1 circuit:2 unknown:1 consequence:1 eqs:2 first:1 benefited:1 number:3 reaches:1 channels:2 randomized:1 open:2 size:1 given:2 herrero:1 temperature:7 needed:1 leading:2 top:4 system:1 approximately:2 response:2 their:2 ballistic:2 fermions:2 dwell:1 dfg:1 keldysh:4 transverse:1 interband:3 than:4 reflection:1 diffusion:1 determines:1 require:1 ambegaokar:1 zero:1 nakano:1 determined:1 fˆ:3 function:5 suzuura:1 crossover:1 recover:1 demonstration:1 relatively:1 conversion:2 belzig:2 min:1 latter:1 find:1 potential:3 take:3 online:1 green:5 diffusive:4 kulik:1 normal:10 incidence:2 connected:1 kanda:1 phase:3 sfb:1 class:1 superlattices:1 unequal:2 kf:7 dordrecht:1 average:2 ko:3 mailly:2 universiteit:1 electrons:1 exp:1 kt:6 velocity:1 reentrance:8 physics:1 dot:5 slope:1 contacted:1 show:4 german:1 text:1 vandersypen:1 doped:11 spaces:1 line:4 decade:1 ratio:2 parameters:1 conduction:2 should:1 only:3 over:3 equilibrium:1 klein:4 di:1 dependent:2 satisfied:1 dv:1 during:1 dt:1 coth:1 dq:1 volkov:2 oostinga:1 arxiv:2 predicted:1 qn:1 electrodes:2 edited:1 nambu:3 maximum:3 observed:1 see:3 electrostatic:3 result:2 enhanced:1 discussions:1 close:2 electrode:8 detect:1 review:1 currently:1 label:1 state:3 between:5 limit:4 approach:2 across:1 available:1 comparable:1 terms:1 statistically:1 nature:2 initially:1 component:3 interfaces:2 comm:1 interface:12 carbon:1 reappears:1 jetp:1 both:1 σi:1 limits:1 region:11 τi:1 equal:1 called:1 sov:1 april:1 symplectic:1 retarded:1 exceeds:2 akazaki:1 adjusted:1 point:2 corresponds:1 hvf:1 dimensional:2 exhibits:1 applicability:1 wider:1 doping:1 geim:1 houzet:1 basis:1 addition:1 three:1 been:2 much:3 combined:1 ph:1 pn:1 dots:3 direction:1 controlled:1 observable:1 persist:1 gas:2 cos:7 gap:1 coherent:6 observe:1 presented:1 spin:1 applied:2 pacs:1 solid:3 multiwall:1 will:2 near:4 replaced:1 behavior:2 evaluates:2 tunneling:8 landauer:1 layer:1 coupled:2 ando:1 graphene:11 thus:2 superconducting:9 cond:2 takayanagi:2 rammer:1 pistolesi:1 2g0:2 heersche:1 supported:1 same:3 while:3 pauli:2 modification:1 several:1 dated:1 used:1 closest:2 upon:3 effect:8 conductors:3 wees:1 recent:1 weakly:2 modes:4 depending:1 contact:2 position:1 left:1 routinely:1 just:1 less:2 proximity:1 obtain:1 voltage:2 λi:1 scattering:4 kluwer:1 density:1 smith:1 nato:1 lett:8 extensive:1 momentum:3 real:1 beenakker:4 nazarov:4 sums:1 confines:1 increases:3 altshuler:1 mod:1 ignore:1 microstruct:1 valence:2 reduced:1 right:1 smoothly:1 phenomena:1 back:2 escape:1 courtois:2 tutorial:1 scale:1 lead:3 bottom:4 opposite:1 integration:1 per:2 does:2 connecting:1 provides:1 assuming:1 fom:1 propagating:1 refer:1 2tn:1 gmax:2 equivalent:1 conventional:4 panel:2 central:1 freedom:2 aˆ:2 factors:1 o:2 carrier:2 mccann:1 act:2 germany:1 slightly:1 takeda:1 into:1 lies:2 appropriate:1 determine:2 strip:1 van:1 additional:1 area:1 assumed:1 initial:1 jarillo:1 width:1 conservation:1 low:2 way:1 mesoscopic:2 slopes:1 valley:3 was:1 lowest:1 borghs:1 form:1 leiden:2 hv:2 but:2 properly:1 nanotubes:1 akhmerov:2 vl:1 temp:1 smooth:2 up:1 devices:1 normalstate:2 below:1 fermi:6 similar:1 calculated:1 expect:1 constant:1 defined:1 metal:5 combining:1 general:2 weff:3 lifetime:2 dε:3 constriction:3 again:4 functions:5 tic:1 dotted:1 no:1 dashed:1 when:5 nx:1 ny:1 other:3 electrical:1 department:1 coherence:5 nonmonotonic:1 conclusion:1 formed:1 excitation:1 commutator:1 sides:1 structure:1 ago:1 anticommutator:1 assume:3 4t:1 contacts:4 microelectronics:1 time:6 |
0704.2488.txt |@word gu:1 partial:2 consider:9 ceases:3 eaires:1 global:7 results:8 ds:3 eε:9 proposition:22 consists:6 follow:3 expressions:1 2r2:2 regularize:1 grenier:5 certainly:2 c0:3 depend:1 remarkable:1 ginibre:1 tv:2 iii:1 concerned:1 good:1 tn:1 quasi:9 does:11 indicate:1 l4:1 under:2 aux:2 multilinear:1 presentation:1 tc:1 norm:4 ingredient:1 applied:2 lack:2 g3:1 g2:1 straightforward:1 zhang:4 very:2 springer:2 wave:7 brenier:3 corollary:8 every:1 sud:1 remarks:3 word:1 difference:1 matrices:4 postpone:1 convexity:1 obvious:1 solves:16 presented:2 issue:2 notes:1 t2:3 solution:21 t0:6 ri:1 large:5 admissible:1 differential:6 2l2:5 small:7 div:56 optics:20 velo:1 application:1 des:3 neighborhood:1 lecture:2 thomann:1 estimates:18 modified:1 approximation:1 go:1 zero:3 subtle:1 further:2 langmuir:1 odd:1 rough:1 theory:1 even:5 index:2 what:1 nonlinear:37 plays:1 sub:3 rate:1 unknowns:1 giving:2 deeply:1 section:2 ast:1 transforms:1 uniform:8 current:5 version:3 sur:4 goes:4 sup:22 new:10 construction:1 r2ℓ:1 method:1 contrast:1 satisfy:2 compact:3 justification:2 nonlinearly:1 convergences:1 whose:2 respectively:1 eaux:1 here:5 desired:6 les:3 arch:4 address:2 along:3 auxiliary:1 equations:48 revisited:1 change:11 deduced:1 obtained:2 remark:11 sobolev:17 deriving:1 weinstein:2 rigorously:1 technical:2 study:4 allows:3 step:1 commonly:2 suggests:1 poisson:2 efaut:1 usually:1 fourier:3 makes:5 cancellation:1 sci:2 egularit:1 boundedness:1 via:1 followed:1 mail:2 montpellier:2 extra:5 apr:1 ecole:2 explained:1 fσ:8 modulated:6 linearization:1 remi:1 apply:2 total:1 establish:1 linearly:1 derivatives:3 use:6 asymptotic:3 would:2 lemma:36 recalling:2 finally:4 next:4 vol:5 therefore:17 taken:1 compactly:3 type:2 fr:2 subcritical:1 more:7 zeroes:2 introducing:5 ir:2 formally:5 duality:1 integers:1 eiφ0:4 tzvetkov:1 stable:1 odinger:27 appendix:3 particular:8 known:1 courant:2 cases:3 hold:1 finie:1 must:5 account:1 valued:8 coefficient:3 integrating:2 pursue:1 recall:11 equation:43 work:4 oscillator:1 reads:2 pour:3 ematiques:2 makino:2 paragraph:3 values:2 eikonal:1 ρv:6 following:14 clarendon:1 vlasov:1 example:2 proof:36 control:1 claim:3 ration:3 theorems:2 lσ:3 give:1 expanding:1 naturally:1 involve:1 claimed:1 assumptions:1 caution:1 refine:1 want:2 allowed:1 r12:1 tao:2 r22:3 verlag:2 ones:1 requirements:1 goal:1 divided:1 holds:5 feature:2 concentration:1 write:2 how:1 pair:2 possibly:2 instead:2 those:1 parameter:2 priori:3 oscillatory:1 etivier:2 product:3 description:1 algebra:2 may:3 navier:5 hence:12 sulem:2 inst:2 waves:1 choice:1 data:15 strichartz:1 induction:2 imply:4 whenever:1 lemmas:2 ordinary:1 counter:1 acknowledged:1 hokkaido:1 exhibited:1 cascade:1 complexity:1 cannot:2 so:15 allow:1 decreasing:1 representation:1 order:18 bull:2 wigner:3 developed:1 over:2 satisfied:8 stability:1 jetp:1 paper:5 interpolation:1 left:1 mentioned:3 equip:1 satisfies:10 poincar:1 its:7 roots:1 before:2 sciences:2 derive:2 rapidly:1 la:1 chosen:2 interesting:1 fix:1 solving:1 exhibits:1 writing:3 h2:4 absence:1 cazenave:2 systems:4 lp:2 derivative:1 main:8 might:1 overcome:2 split:1 serre:2 symmetrization:2 non:7 yj:1 pure:2 thereby:1 seeking:1 yvan:1 propose:1 introduce:11 bound:9 scaling:1 framework:3 totale:1 oxford:2 rotation:1 now:7 smoothness:2 establishes:1 easily:3 term:16 finite:6 desjardins:1 2q:3 occasions:1 delicate:1 b3:1 composition:2 l6:1 sufficiently:1 quintic:2 inequality:1 l2:29 glassey:3 l1:6 2m:7 2n:3 difficult:1 2h:2 side:3 referred:1 homogeneous:12 domain:1 arxiv:1 retrieve:1 another:1 dichotomy:2 series:1 energy:19 journ:1 idea:5 ec:1 elementary:1 used:7 obtains:1 measure:3 quantum:1 our:7 approximated:1 beyond:1 nonlinearities:2 ees:3 es:1 out:3 2m0:5 rp:13 lifespan:1 space:4 furthermore:1 since:31 crucial:1 denotes:2 rd:1 re:17 vector:1 dominated:1 adapt:1 rational:1 denoted:1 formula:1 rn:111 xu:1 suffices:5 occurs:1 math:26 shows:9 after:1 linear:23 eca:1 resume:3 routine:1 l2σ:3 standard:7 difficulty:1 applications:1 supercritical:2 included:1 york:5 stems:1 estimate:33 anal:8 definition:8 r1:35 r2:33 combining:1 reinforces:1 eom:1 could:1 similarly:2 iεt:1 filter:1 turn:3 keel:2 place:1 hopeless:1 leading:2 consequence:3 haraux:1 suffice:1 first:22 origin:7 informations:1 ℓy:16 initial:17 computations:3 symmetry:1 upper:4 variables:2 number:2 xe:1 set:7 xin:3 directly:6 impossible:1 precisely:3 open:1 ℓf:1 stage:1 size:1 dispersive:1 given:18 necessarily:2 hyperbolic:15 introduction:4 unknown:16 system:32 construct:1 their:3 assumption:27 listed:1 statement:2 siam:1 scheme:1 inner:1 collapse:2 taiwanese:1 incompressible:3 serve:1 part:5 authors:1 focusing:5 diminish:1 translation:1 completes:5 coefficients:3 distance:1 require:3 second:14 limiting:2 project:1 matter:2 homogenization:1 amplitude:4 identical:1 toward:1 treated:2 colliander:2 bridge:1 motivation:1 fashion:2 false:1 rewrite:2 lines:2 ann:4 argument:8 already:3 sharp:1 anr:1 close:1 need:4 seen:1 seem:1 recover:2 seek:2 any:5 viewed:4 decomposing:1 nls:16 εx:1 depending:3 εu:1 studying:1 lin:7 propagation:1 r3:1 converges:1 note:18 instance:3 potential:8 gσ:12 take:7 symmetrizer:2 paris:2 interior:1 coincide:1 εa:4 gε:36 towards:2 unless:3 appl:4 shall:3 viscosity:1 phases:1 birkh:1 most:2 involving:1 preliminary:1 phase:6 why:1 mach:2 cause:1 nonlinearity:15 considered:1 torus:1 sometimes:1 flow:1 cedex:2 possesses:1 regards:1 principle:1 exp:6 quadratic:3 justify:1 typically:1 globales:1 fact:4 laws:8 precise:3 thomas:2 phenomenon:1 show:3 nσ:3 carles:19 2r22:2 converge:2 notations:2 universit:2 spaces:11 solutions:8 polytech:1 fδ:4 careful:2 trivial:2 find:4 subtracting:1 cnrs:4 rev:1 aσ:5 q2:1 based:4 explain:3 should:1 examples:1 analytic:4 only:16 explicitly:1 indeed:15 chemin:1 constant:6 local:3 preliminaries:1 continuity:4 do:2 his:1 handle:1 above:12 notation:5 get:3 dependent:1 syst:1 de:7 soon:1 etrique:1 aσ0:1 aε:186 negative:1 dx:22 despite:1 boils:1 wise:1 dt:19 justified:1 differentiating:3 produced:1 evolution:9 densities:5 defocusing:9 emi:1 yield:2 cf:4 nakamura:1 qi:1 nondecreasing:1 fixed:2 valid:2 view:6 pioneering:2 multiplying:2 exists:17 physically:1 turbulent:1 bounds:1 y1:2 see:35 full:2 result:19 existence:3 embeddings:1 y3:1 seems:1 appear:4 fails:3 satisfying:2 inequalities:1 uε:78 uδ:12 review:1 y4:1 symmetric:13 enough:3 features:1 between:2 invariant:1 geometric:21 approach:14 checks:1 law:4 choose:3 contradicting:1 check:6 terms:8 extend:3 weak:2 however:4 2σr:1 erard:3 vanishing:3 enters:2 comm:6 french:1 key:5 multiplier:2 bose:3 amer:3 2σa:1 motivations:1 both:1 essentially:1 last:4 classique:1 emes:1 friedrichs:1 many:2 ill:2 density:2 pitaevskii:2 sov:1 0c:1 context:2 hσ:1 passing:2 perturbative:1 adapted:2 eug:1 comes:1 arbitrarily:3 aa:9 relevant:1 necessary:1 point:7 cc:1 cb:1 ca:1 inc:1 corresponds:1 eminaire:2 cd:2 dimensional:3 simply:3 sε:2 mesures:2 moreover:5 throughout:1 considers:1 ct:1 considering:3 sensible:1 pp:3 xα:1 described:2 addition:2 skew:5 locally:1 due:5 been:2 strategy:4 eriv:2 belongs:2 symmetrizing:1 treat:1 iy2:1 expected:5 define:8 life:1 aj:25 mollifiers:1 gaz:1 explosion:1 quantities:1 sufficient:1 remarques:1 observe:1 recalled:1 external:4 demand:1 worked:1 general:9 spirit:1 present:3 case:37 limits:2 bσ:14 stark:1 examine:1 will:8 institute:1 near:3 suppose:3 momentum:2 behavior:3 error:1 pressure:2 property:1 conformal:2 taking:3 maximal:3 detailed:1 kawashima:2 iq:4 wkb:4 thus:6 symmetrize:2 regularity:5 itself:1 im:28 exterior:1 turns:1 ia:3 bataillon:1 id:1 disappear:1 eigenfunction:1 different:1 verified:1 etc:2 supported:2 granted:2 belong:1 same:8 clearly:2 checking:1 palaiseau:1 complex:2 arguments:6 established:2 gasser:1 classiques:2 proved:3 several:2 infer:3 higher:1 independent:6 extended:2 embedding:3 cubic:10 posed:3 markowich:2 straley:1 upon:2 flows:2 hand:9 v1:20 liquids:1 hydrodynamics:1 takaoka:2 4cf:3 parfait:1 pde:1 identity:2 nantes:2 relies:1 newman:1 suitable:2 schr:27 mention:1 disappears:1 min:4 well:7 posedness:3 analysis:20 obviously:2 without:1 solve:5 lim:3 position:5 model:1 g1:1 dimension:2 usual:8 λs:5 proposed:1 λy:1 partielles:2 obtain:10 rest:1 homogeneity:1 thanks:4 dynamique:1 useful:1 scattering:1 yet:3 λm:2 previous:7 blow:4 adding:1 eaire:2 rapid:1 preprint:2 ma:1 εl:5 zakharov:3 auser:1 alternate:2 had:2 self:1 boston:2 source:4 analogue:2 other:6 erisque:1 lett:1 easy:1 theorem:31 cρσ:1 perte:1 ampli:1 transformation:1 euler:10 iφ:6 real:11 bourbaki:1 εt:1 mensional:1 depends:1 demands:1 read:1 replaced:1 showing:1 iε:4 possible:5 harmonic:2 matters:2 vβ:1 know:2 background:1 vacuum:5 press:2 using:4 unique:9 loss:4 ljk:2 appearing:1 like:1 semi:16 follows:16 blowup:3 serves:1 yields:19 arbitrary:4 degree:9 become:1 continuation:1 university:2 mathematical:3 parity:1 sketch:2 because:5 classical:14 smoothly:1 εa1:2 some:12 back:1 mech:4 understood:1 deduce:1 acad:1 b1:1 b2:1 respect:1 oscillations:4 provided:1 uniqueness:2 dimensions:1 instability:3 cσ:2 univ:1 though:1 cφ:2 aε0:17 critical:8 provides:2 steps:2 fluide:1 proc:1 symbol:1 convenient:2 refer:3 mimicking:1 blowing:1 ba:1 equivalent:1 instabilities:1 archived:1 expansion:3 evolutions:1 meets:1 burq:2 although:2 eiφ:4 hadamard:2 super:5 properties:2 proceed:2 stokes:5 about:3 working:1 impose:1 france:4 prove:16 discussed:1 dependence:1 o:21 ondes:1 remains:5 regular:1 plus:3 introduced:2 consequently:3 soc:4 masse:1 statements:2 presence:4 jδ:6 jε:2 into:3 formulae:1 obtaining:1 functional:2 three:4 down:1 lies:1 hermitian:2 right:2 references:2 determine:2 einstein:2 operator:4 reducing:1 orsay:1 span:1 deal:1 mauser:1 assumed:1 support:8 there:24 question:2 transform:2 long:1 noticed:4 conservation:9 remained:1 low:3 way:1 was:6 m0:2 function:19 martel:1 revised:1 gronwall:5 complete:3 form:15 compressible:7 hs:9 analyse:1 but:9 ene:1 japan:1 staffilani:2 hm:14 convergence:4 clarify:2 trying:1 true:2 providence:1 coupling:1 compute:8 consequences:1 pσ:4 smooth:22 up:6 us:5 critiques:1 below:2 un:1 limit:23 problem:16 similar:5 clear:1 expect:3 strongly:2 sort:1 taylor:2 associated:3 defined:5 stronger:1 abstract:1 describe:3 condition:1 proven:1 denote:3 dξ:1 ap:3 conserved:1 xiii:1 exist:3 rule:1 relates:1 corresponding:2 curl:1 identities:1 ukai:2 physical:1 again:3 functions:8 qε:4 fℓ:16 nn:1 no:26 amounts:1 relax:1 when:11 vanishes:1 semiclassical:4 rewriting:1 successful:1 setting:2 role:1 details:1 mathematics:2 conclusion:1 conclude:8 tame:1 briefly:1 gross:2 translated:1 lebeau:2 uniformly:3 kolomeisky:1 includes:1 a1:30 a0:33 qσ:19 important:2 bounded:8 quasilinear:2 variable:1 generalized:2 alinhac:1 structure:1 condensation:2 implies:9 longer:1 assume:10 cauchy:14 dτ:2 interval:3 pseudo:2 contemp:1 together:3 tude:1 mimic:1 mass:4 time:18 observables:2 semilinear:2 requires:2 original:1 once:2 |
0704.2489.txt |@word limited:2 lasted:1 concept:1 consider:1 remarkable:1 impression:1 magnetic:3 global:3 dynamic:1 splitting:1 extensively:1 leads:4 eccentricity:3 ice:27 ionize:1 disk:4 saved:2 seemed:1 increase:3 certainly:1 depend:2 kinetic:2 re:1 segments:1 arid:2 passage:5 colliding:1 does:4 indicate:2 present:14 excluded:1 under:5 dominated:1 suffered:2 case:4 yr:3 hemi:1 shielding:7 outside:1 very:5 scattered:1 continues:2 induce:3 results:2 rotational:1 reconstructions:1 promise:1 twice:2 specific:1 difference:1 continued:1 deformations:2 encounter:10 circulation:1 drag:4 ionic:1 basics:1 clouds:1 grains:5 did:1 positions:2 shock:1 prolonged:1 large:9 deformed:2 vector:1 verdict:1 small:11 midplane:1 asian:1 upper:2 zn:4 smaller:2 force:7 ten:1 insignificant:1 estimates:4 prediction:2 past:2 rate:2 cost:1 settled:1 pass:1 further:3 dynamics:3 estimated:1 situated:1 shining:1 even:3 tually:1 what:6 adds:1 appear:1 incompatible:1 sun:20 axes:1 crust:1 near:9 asia:1 rome:1 current:1 consistently:1 19th:2 version:1 poles:10 fossil:1 scientists:1 new:13 increasing:1 ever:1 journal:1 multitude:1 movement:1 revealing:2 condensed:2 full:3 led:1 dwarf:2 nearer:1 ısica:3 loose:1 spacing:1 dissipates:1 here:1 atoms:2 behaviour:2 favourable:1 velocity:7 isotope:1 relaxation:4 path:1 strong:1 equations:1 appears:2 change:3 depended:1 obtained:1 great:1 ref:4 parameters:2 pressure:2 institute:1 shift:37 study:3 stretching:6 alaska:1 hydrostatic:2 metry:1 suggests:2 amount:3 periodic:1 resulting:6 stressed:1 resonance:1 narrow:8 changes:6 explain:1 involves:4 dating:1 composed:1 via:1 followed:2 although:1 ions:7 apr:1 ages:1 extinctions:1 private:1 highly:2 brought:1 improbable:1 shifting:1 clock:1 org:3 buildup:1 surmount:1 total:2 establish:3 cloud:45 evidently:1 environment:1 use:1 takes:2 would:12 prove:1 remains:4 e1:3 contains:1 few:7 culprit:1 therefore:8 taken:1 robertson:5 meyer:1 type:1 theoretical:1 lutz:1 more:16 fractions:3 almost:3 elliptic:1 relax:1 clearly:2 sigaud:1 stable:2 occurred:3 validity:1 aware:1 long:3 warm:4 studied:1 couplings:1 known:4 central:1 cases:3 aligned:1 producing:1 effective:1 must:10 states:1 flora:1 animals:2 characterize:1 shielded:2 science:5 inertial:3 work:1 centrifugal:2 longitude:1 acts:1 reviews:1 remain:1 sudden:1 values:2 era:4 following:2 root:1 latitudes:2 history:2 grained:2 references:1 weaker:1 give:1 calculation:1 table:1 pieces:3 high:4 sphere:2 way:1 something:1 kyr:4 yet:1 occur:8 axis:15 terrestrial:1 creates:1 end:9 varied:1 provide:1 describes:2 discussion:1 holds:1 formations:1 species:1 regions:5 far:1 hot:6 extinguished:1 answer:1 siberian:1 ordinary:1 sizeably:1 explains:1 circular:2 information:1 may:12 after:4 different:4 wrong:1 produce:5 deviates:1 structure:1 islands:2 core:8 data:3 grow:1 types:2 tams:1 short:4 attempt:1 collision:4 liquid:3 coupling:1 light:7 nance:1 lost:2 think:1 like:2 rather:4 perihelion:8 so:10 frequent:3 allow:1 decreasing:1 clusters:2 ultraviolet:1 subsequently:1 geographic:12 order:4 wind:3 travel:1 feed:2 unsolved:1 passages:2 deform:1 enter:1 numbers:1 indeed:1 over:6 move:3 vary:1 years:14 produced:5 ended:1 thermal:2 paper:3 through:7 precessional:1 motions:3 argued:1 existence:3 cold:14 still:1 its:21 before:7 rapidly:1 dur:1 sharply:1 πr2:1 geo:1 masses:1 torn:3 decreases:1 actually:1 late:3 attraction:4 parts:4 degrees:3 minute:1 communication:1 latitude:13 covered:2 main:4 might:9 deformation:14 happened:4 versus:1 non:1 float:1 ically:1 thereby:1 janeiro:1 fragment:1 material:9 innermost:1 cover:1 introduce:1 records:3 precess:1 example:2 effects:1 they:9 half:2 tance:1 suffice:1 rotation:13 now:1 fields:2 growing:1 term:1 gets:1 oxygen:2 always:1 delicate:1 normally:1 shield:1 sufficiently:2 magnitude:2 stopped:1 reasonable:1 turns:2 found:1 difficult:1 traces:1 side:1 scattering:3 lasting:1 established:1 square:2 tilted:1 primarily:2 geophysical:1 independent:1 colder:1 globe:9 reduce:1 idea:3 related:1 joined:1 climatic:1 favour:1 investigated:1 expect:2 year:4 our:2 happen:1 beyond:2 eq:1 event:3 special:1 out:5 accomplish:1 opened:1 space:4 restricted:2 furthermore:3 since:18 rev:1 research:4 mains:1 collisions:7 conclusions:1 sustain:1 dependencies:1 got:1 transfer:1 dominate:1 cause:3 occurs:1 densities:1 numerical:2 theory:3 diameters:1 million:6 interplanetary:1 given:3 possibility:2 orbits:6 ecliptic:1 reason:3 cartesian:1 york:1 members:4 indicates:1 estimate:2 beginning:1 muller:3 enormous:1 fixed:2 mainland:1 regarding:1 created:3 could:18 hyperbolic:1 diminished:1 days:6 used:1 times:7 motion:8 turn:2 length:1 plane:7 place:1 massive:8 cycles:2 hence:1 diminishes:1 comparing:1 strictly:1 south:3 first:3 origin:4 major:2 already:2 features:3 probability:2 perturb:2 discharges:1 number:1 ranges:1 dilute:1 inhibits:1 least:4 another:2 impossible:2 antarctic:1 angular:6 size:6 earths:2 unexplained:1 necessarily:2 sheet:1 temperature:6 likely:4 similarly:1 mam:1 provenance:1 grip:1 system:7 approximately:2 plastic:2 their:9 assumption:2 too:2 passed:4 cles:2 crossed:1 free:1 postulate:1 hundred:1 congress:1 final:1 summit:1 shifted:3 collapse:4 mostly:2 cope:1 centered:2 explanation:2 took:1 resulted:1 sher:1 quan:1 herds:1 diminish:1 occurring:1 minutes:1 than:21 peaked:1 distance:15 kind:1 molecular:2 third:1 showed:1 cyclic:1 crosses:2 evaporates:1 see:4 limiting:1 project:4 matter:4 future:1 magnesium:1 amplitude:2 were:10 tion:2 evaporated:8 treated:1 pre:1 pointed:1 backflow:1 remained:2 predicts:2 enormously:1 turned:3 correspond:1 antarctica:9 variable:1 unlikely:1 seen:1 obviously:1 any:4 continents:1 nents:1 angle:2 mil:4 mio:1 efficient:1 aside:1 mechanism:1 note:1 sound:1 materials:1 steppe:3 forces:3 interior:1 perturbation:1 persistence:1 bilinear:1 play:1 towards:1 affected:1 electric:3 investigations:1 whole:1 object:19 molecule:4 centro:1 evaporate:2 most:7 boltzmann:4 connected:3 significant:1 preliminary:1 tilt:1 plays:1 ensuing:1 extremely:4 why:1 probable:2 equatorial:3 correlation:1 isotopic:1 consequences:3 considered:2 international:2 prevails:1 intrinsic:2 coincides:1 hemisphere:2 km:9 counted:1 astro:1 reaction:1 principle:1 exp:1 xavier:1 coincided:1 physics:7 review:1 fact:2 laws:1 precise:2 planetary:7 atmosphere:4 selected:1 gold:1 show:2 timedependent:1 supported:1 synchronous:1 friction:1 evaporation:11 visualized:1 readjustment:1 seems:2 tentatively:1 earth:67 rough:1 fine:5 find:1 ground:1 henceforth:1 slow:1 ratio:2 proposed:1 northern:6 extraterrestrial:1 series:2 representing:1 pleistocene:27 produces:1 storms:1 enough:3 should:2 only:13 abs:4 screening:3 molecules:3 factor:2 emitting:1 circle:3 darwin:1 oblique:2 b29:1 equilibrium:5 do:3 appreciably:1 dominant:2 means:1 dependent:9 de:5 enhanced:1 coast:1 amazon:1 cannot:4 nearly:1 lighter:1 probably:3 timing:1 during:23 thomson:1 dr:1 postulated:1 becomes:6 areas:1 prime:2 reveal:1 processes:3 precession:6 initial:2 course:2 conditions:3 arxiv:4 imposed:1 quaternary:4 switzerland:1 river:1 viet:1 inside:1 liberate:1 view:1 surpass:1 exists:2 modifications:1 physically:1 catastrophic:1 plausibly:1 transition:1 maximum:2 relative:8 cbpf:4 depends:5 individual:2 radius:5 result:4 sea:3 close:11 satisfies:1 best:1 subject:1 brazil:1 zodiacal:1 tensor:3 possi:1 nuclear:2 away:2 definite:1 continent:2 µm:2 initially:3 written:2 determined:4 various:1 correctly:1 between:13 tens:1 invariant:3 problems:2 approach:4 wide:1 europe:1 variability:1 tization:1 nature:7 importance:1 modify:1 screen:1 emitted:1 however:9 dome:1 reproduces:1 inclusions:6 extent:1 outer:1 understanding:1 come:1 problem:4 activate:1 isotopes:2 received:1 essentially:1 last:7 particular:1 reported:1 many:2 region:5 barely:1 equal:1 ısicas:1 april:1 asym:1 grain:2 receives:1 contribution:1 expression:1 comes:2 yearly:4 presumably:1 ch:3 afterwards:2 point:1 simple:2 continuation:1 each:5 vast:1 period:12 community:2 deposits:1 14c:1 pole:16 sequences:1 respect:1 factors:1 nicole:1 shrinks:1 differs:1 basis:3 west:1 create:3 vertebrate:1 due:5 been:9 quickly:1 tropical:2 much:5 deposited:1 basic:1 expected:3 ph:2 extreme:1 chandler:1 fig:2 field:3 direction:7 lived:1 general:1 unavoidable:2 duces:1 influence:3 sufficient:1 xxx:1 gas:3 climate:11 dramatic:3 occurrences:1 mail:2 careful:1 spin:1 those:4 plants:4 atmospheric:2 reciprocal:1 solid:2 solvable:1 reliable:1 bill:1 empirical:1 value:3 expelled:1 will:8 geophys:3 while:6 lead:1 suppose:2 bounds:1 shall:1 involved:1 promoted:1 situation:4 steffensen:2 elaborate:3 release:1 identical:1 larger:7 century:5 equator:3 thus:7 surprisingly:1 surface:5 rio:1 itself:5 attributed:1 return:1 vanish:1 disappear:3 increased:2 orbital:10 confirmed:1 ing:2 radiation:13 connection:1 same:1 orders:1 shorter:2 impurity:1 complex:5 geographical:1 habitats:1 distillation:1 several:6 events:7 higher:2 fairly:1 literature:1 http:4 peaks:2 eccentric:5 arctic:17 conceived:1 implications:1 effect:2 hand:1 effectively:1 average:1 extensional:1 appreciable:2 urich:1 dust:6 jour:2 cycle:1 onggerberg:1 lower:7 center:2 scenario:6 nevertheless:2 studies:5 well:2 analysis:1 ocean:3 herv:1 without:5 aphelion:1 influx:2 components:1 trials:1 coordinate:1 position:2 model:9 tional:1 photoemission:1 left:1 distances:4 construct:1 absolute:1 just:3 less:2 exotic:1 observed:3 sizes:1 rotated:1 resolution:1 valuable:1 notas:3 shape:4 unclear:1 books:1 atomic:1 aspect:1 world:1 facts:3 rotates:1 speed:4 brasileiro:1 collide:1 previous:1 rapid:3 density:4 trigger:1 photons:1 conclude:1 had:10 except:1 macdonald:3 appeared:1 add:2 valid:3 extends:1 location:1 extensive:1 east:12 plasma:2 earthquakes:2 momentum:4 details:1 real:2 northeast:1 inelastic:4 australia:1 march:1 around:8 disappearance:1 advances:1 breaks:1 spatial:1 unlimited:1 possible:5 drilling:1 corresponds:2 possibly:1 increases:4 pared:1 makes:1 denser:1 using:3 part:1 unique:1 apart:1 loss:2 displaced:2 forcing:1 necessary:4 semi:1 particle:13 shaped:2 bulge:3 contradict:1 reduces:1 velocities:2 cy:1 vernet:1 sized:2 flux:2 millions:1 pesquisas:1 unstable:1 either:3 martin:1 mentum:1 served:1 reduced:2 repulsive:1 holocene:12 greenland:12 old:1 often:1 existing:1 plausible:1 some:6 chronology:1 influenced:1 growth:2 jupiter:6 paragraphs:1 duration:1 bore:2 closer:2 reasons:1 happens:1 provided:1 gradually:2 scale:2 dense:2 both:1 collapses:1 res:3 centre:1 recorded:2 integration:1 per:7 moon:11 flow:1 imposes:1 prof:1 glacial:8 particles:17 o2:3 demonstrated:1 inclination:6 measuring:1 evaporating:2 process:2 power:1 dropped:1 reach:3 equivalent:1 rua:1 perpendicular:1 disappeared:1 lasts:2 how:3 bp:2 br:1 become:4 assemble:1 tidal:8 post:1 transported:1 impor:1 properties:3 stage:1 berman:1 about:14 rare:3 instability:2 island:1 discussed:1 dependence:4 o:4 elephants:1 compatible:3 probabilities:1 range:3 stand:1 together:2 concentrations:1 insufficient:3 slightly:1 block:1 considerations:2 astronomical:1 cambridge:1 statements:1 decreased:1 unnoticed:1 inclusion:1 breakup:2 maxwell:2 into:11 within:9 bound:3 three:3 lies:2 sor:1 movements:1 determine:2 heated:1 proportional:1 binding:1 ellipse:1 insolation:7 methods:1 existed:1 additional:3 elastic:1 area:1 assumed:2 indispensable:2 there:7 question:3 spiral:3 sunlight:2 spread:1 conservation:1 inner:1 stars:1 ed:1 forward:1 slowly:1 decisive:1 was:33 energy:13 modest:1 naturally:1 en:2 hy:1 north:7 complete:1 form:2 kb:3 relaxed:2 mars:4 but:10 displacement:4 volume:2 gov:1 doi:1 atlantic:3 ethz:2 solar:14 atom:5 elimination:1 relaxes:3 heinrich:3 partially:3 condition:4 gustafson:1 made:1 builds:1 places:1 whether:2 characteristic:1 gravitational:5 variations:3 up:2 us:4 until:2 planet:4 record:2 decays:1 limit:1 distinctly:1 planes:1 site:1 fluctuations:1 distribution:6 similar:3 called:1 say:2 detailed:4 lanl:1 constant:1 abrupt:1 certain:4 escape:4 moved:7 life:1 covers:1 evidence:4 single:2 exist:7 periods:17 planets:3 lifetime:5 modeling:1 moves:1 distributions:1 fractional:1 again:4 extending:1 ev:5 no:1 deserve:1 when:3 nf:2 blown:1 geographically:3 other:5 role:2 transport:1 brings:1 extinction:1 eight:1 proposal:1 conclusion:1 polar:23 lena:1 poynting:5 excitation:1 time:26 drift:1 includes:1 eminent:1 chance:1 important:3 nucleus:2 napier:1 occasion:1 included:1 desert:1 fraction:3 stops:1 jørgen:1 younger:1 suffers:1 longer:2 practically:1 assume:4 typically:1 age:4 required:9 orbit:19 governed:1 ments:1 appendix:1 mass:15 resembles:1 cores:4 n2:1 backward:1 requires:1 lett:1 once:2 |
0704.2490.txt |@word katz:2 partial:1 consider:3 similarity:1 rev:7 integration:4 four:3 scalar:1 contributions:2 localized:1 whose:1 depend:1 calculate:2 mφ1:16 equivalence:1 finally:1 program:1 th:21 analogous:1 include:2 worth:2 division:1 zhang:1 2rf:1 rise:1 chaichian:1 mixing:5 condition:10 leads:1 presented:2 sundrum:6 solution:12 large:5 solved:6 laux:4 wulzer:1 dependently:1 jhep:8 consistent:1 zero:7 odd:2 even:5 abe:2 nobuhiro:2 section:4 3w:24 supermultiplet:3 3t:1 above:3 acknowledgments:1 3e:1 satisfy:1 simultaneously:1 exchange:1 respectively:1 here:2 supermultiplets:16 equations:15 z2:3 box:1 institute:1 study:3 studied:3 superpotential:8 resulting:1 examining:2 formulated:1 stabilization:5 extra:5 2φc:1 rσ:62 summation:1 redi:2 planck:1 derivatives:1 unfixed:2 gravitino:1 remains:1 positive:1 negative:5 next:1 m5:1 nucl:7 sitter:1 m2:3 taken:4 metric:1 more:2 flat:8 becomes:3 dxµ:1 curvature:1 known:1 must:2 account:3 stabilized:6 integrating:1 science:1 equation:12 work:3 nemeschansky:2 itself:1 values:2 following:3 dec:1 spontaneous:1 decoupled:4 riotto:1 soft:1 cosmological:3 give:3 calculation:1 high:1 performed:1 allowed:1 compactify:1 rather:1 breaking:13 nontrivial:3 pure:1 answer:1 ordinary:1 parameter:5 simplicity:1 de:1 ft:12 singular:1 may:3 derived:1 different:2 okui:1 fc:1 fi:6 constants:3 stress:1 sectors:5 helsinki:4 allow:1 shirman:2 order:4 closely:1 developed:1 over:3 move:1 satisfied:1 interpreted:1 feruglio:3 japan:1 radion:7 orbifold:1 thank:1 interesting:1 complex:2 degrees:1 systems:2 van:1 mail:1 schmidt:1 fin:1 supersymmetry:19 dxν:1 break:2 effects:2 they:2 now:2 hall:1 term:2 fϕ:10 stabilize:2 university:1 2x:2 magnitude:1 each:1 found:4 2n:1 lifted:1 significantly:1 energy:1 reduce:1 related:1 society:1 obtains:1 our:1 extract:1 out:1 respects:1 shown:5 space:13 since:1 lagrangian:13 attracted:1 rkπ:29 denoted:7 ref:1 viable:1 mφ:2 possibility:1 clarify:1 θd2:2 randall:6 generate:1 shadmi:2 randallsundrum:1 chiral:19 r2:1 finland:2 ds2:1 motion:19 promotion:1 first:2 variables:1 warped:7 compensator:8 given:11 similarly:1 introduction:1 eqs:6 system:1 least:1 normalization:1 statement:1 2m5:2 unambiguously:2 gives:6 academy:1 part:3 representing:1 than:1 coefficients:2 wide:1 tavartkiladze:1 require:1 second:1 bergshoeff:1 determined:3 contrary:1 enables:1 perturbative:1 spectrum:2 need:2 seen:4 angle:1 efficient:1 latter:1 gravity:1 mechanism:5 sciences:1 potential:21 take:2 modulus:6 begin:1 fundamental:1 breakings:1 letter:1 kc:1 hypermultiplet:19 considered:1 2rσ:16 points:2 χc:13 exp:1 physics:2 fact:1 sector:2 12c:4 particularly:1 lalak:1 show:1 supported:1 discovered:1 relation:1 solutions:6 substituting:1 d2:4 find:4 parameters:4 should:2 only:5 hip:1 do:1 viewpoint:1 means:1 superpotentials:14 overall:1 cannot:1 words:2 dy:5 fields:7 arxiv:24 fixed:3 moduli:8 exists:1 phenomenologically:1 4c2:4 radius:9 result:3 w0:22 discussions:1 terms:7 subject:2 still:2 correia:1 ways:1 supergravity:1 written:1 various:1 between:4 boundary:29 conditions:9 across:1 notice:1 wc:17 useful:1 wi:27 w02:1 invisible:1 originates:1 undetermined:1 both:2 last:1 region:1 parts:1 marti:1 contribution:1 ck:1 relevant:1 point:2 simple:1 nˆ:1 dimensional:4 anti:1 belyaev:1 cancel:1 respect:1 oliver:1 nomura:1 scherk:9 due:1 been:7 pomarol:3 maru:3 interest:1 ph:3 define:1 obtained:2 direction:3 supersymmetric:2 zwirner:3 6m:1 bulk:7 derivative:1 c2:13 c1:10 former:1 case:13 unlike:1 might:1 single:2 value:2 situation:2 identical:1 changed:1 coupled:5 twists:1 thus:3 hypermultiplets:1 examined:1 containing:1 generic:2 sakamura:2 same:6 φc:56 φi:32 dimensionless:3 finite:1 independent:5 used:2 dǫ:1 hand:2 infinite:3 identity:1 mentioning:1 modes:1 well:1 kallosh:1 analysis:1 obviously:1 patterns:1 without:4 raifeartaigh:10 components:1 firstly:1 model:23 dimension:1 obtain:1 assigned:1 sources:3 multiplet:4 previous:4 scales:1 seems:1 proeyen:1 source:1 valid:1 lett:5 remaining:1 gave:1 real:2 disappearance:1 possible:2 possibly:1 five:3 background:10 vacuum:1 confined:1 using:3 like:1 reduces:1 performing:1 pokorski:1 schwarz:9 sakai:3 stationary:4 parity:2 because:1 classical:1 discontinuities:1 regularized:1 proper:1 nonzero:7 dimensions:4 lead:2 superfields:1 2c2:1 provides:1 inserting:1 equivalent:1 2c:77 use:1 broken:1 would:5 concretely:1 constraint:1 freedom:1 discussed:1 dependence:2 o:18 nonvanishing:1 mixed:1 presence:1 into:5 obtaining:1 three:4 references:1 determine:1 proportional:2 lastly:1 scenarios:1 hep:23 additional:6 gherghetta:3 there:5 question:1 low:1 function:2 form:1 brane:2 properly:1 bagger:6 line:1 bilateral:1 absent:2 wπ:17 whether:1 up:6 biggio:1 limit:3 similar:1 falkowski:1 constant:23 defined:3 abstract:1 evidence:1 twist:1 examine:1 exist:3 simplest:1 physical:1 no:3 eq:15 whereas:1 when:5 ne:12 field:3 other:8 papers:1 department:1 conclusion:1 ads4:1 ads5:1 models:2 includes:2 important:2 variable:2 auxiliary:2 assume:2 required:2 dσ:1 together:2 mass:9 n2:17 |
0704.2491.txt |@word secondly:1 sci:1 consider:10 chain:1 global:1 results:2 scalar:2 proposition:29 entropy:2 computation:1 go:1 follow:1 rectangles:1 devoted:1 preserves:1 terms:2 tv:4 finally:5 those:1 th:10 analogous:3 presentation:1 norm:7 belonging:1 advantage:1 implicitly:1 recursively:2 wave:18 lyapunov:1 suggesting:1 corollary:4 every:3 anonymous:1 lecture:1 resonant:1 ma:1 difference:1 rα:16 riemann:4 presented:2 shock:3 solution:2 large:8 item:1 vector:1 math:9 small:9 eigenvalues:1 anal:8 dip:1 upper:1 compensated:1 semicontinuous:8 hindered:1 estimates:8 jump:5 second:4 value:3 pass:1 further:2 estimated:1 theory:3 what:2 nonlinear:9 appear:5 section:2 analogously:2 uniform:1 polygonal:1 version:2 above:12 sup:6 international:1 increasing:4 jumps:8 shocks:1 satisfy:6 ration:3 mem:1 respectively:16 component:1 here:5 depend:1 along:5 xα:110 equations:8 xε:6 obtained:4 remark:9 oxford:3 allows:2 bv:3 exiting:1 nodea:1 studi:1 suitable:1 makes:1 genuinely:5 via:2 classification:1 decrease:3 apply:4 total:8 linearly:4 use:5 prove:13 distinct:1 positive:8 give:2 negative:1 next:3 ψj:1 ψn:1 therefore:16 more:5 sort:1 introducing:1 formally:3 correspondingly:1 everywhere:1 normalized:2 particular:3 cases:2 hold:1 iii:3 crosses:1 defines:1 r2:2 recall:5 equation:1 modified:1 values:7 lipschitz:8 following:12 dec:1 example:2 brescia:2 proof:39 compare:1 want:1 figure:5 stated:1 cited:1 neglected:1 near:1 ann:1 states:3 pages:1 numbers:3 degenerate:4 yα:29 triangle:1 νi:1 needs:1 straightforward:1 s1:1 means:4 write:4 maps:6 get:1 bressan:6 parameter:1 map:8 product:1 intended:1 singular:1 may:8 containing:4 consequence:1 lax:1 waves:12 applicazioni:1 choice:4 data:8 constants:2 stress:2 gluing:1 third:3 computations:2 lemmas:1 explicit:4 yielding:1 st:10 sj:3 fictitious:1 so:16 sn:1 fundamental:1 definitions:3 integrand:4 counted:1 operations:1 holds:2 dx:11 essence:1 move:1 stability:14 paper:2 through:1 omitting:1 existence:1 satisfies:2 still:1 its:3 thank:1 decay:1 ln:1 fined:1 fix:11 rarefaction:2 li:23 resorting:1 hugoniot:1 absence:1 systems:13 derivative:1 main:3 defining:1 setting:1 formulæ:1 non:13 pure:3 yn:1 integral:3 introduce:9 functional:28 differential:5 they:1 front:7 now:14 february:1 several:2 always:1 university:1 sufficiently:10 inequality:6 l1:79 universit:2 side:2 preceded:1 weighted:1 ei:17 directly:1 arbitrariness:3 ej:6 series:1 approximates:1 related:6 yield:1 measure:10 our:1 approximated:1 differ:1 partial:1 special:1 acknowledgment:1 electronic:3 furthermore:1 since:11 denotes:1 increase:1 dominated:2 denoted:1 formula:10 rn:3 evaluation:1 rj:9 shows:1 linear:2 limν:6 µνi:8 diagonal:1 standard:3 reason:1 subsequences:2 estimate:5 generate:1 rewritten:1 definition:15 pairs:1 interaction:6 recovering:1 applications:3 phrases:1 similarly:1 times:1 length:2 assumed:1 hence:7 approaching:1 first:7 major:1 initial:4 xn:12 number:3 eleventh:1 another:1 open:2 size:1 given:5 law:3 exists:10 hyperbolic:13 introduction:2 arch:3 dipartimento:1 notational:1 system:3 their:2 borel:1 ordered:4 scheme:2 progr:1 cope:1 tool:1 continuous:9 proving:1 immediate:1 part:2 x2:2 x0:2 x1:10 than:1 finitely:1 distance:3 kind:1 pisa:1 require:1 namely:2 limiting:2 preparation:1 subsequence:3 contrary:1 nonresonant:1 boston:2 unchanged:2 concludes:2 piccoli:1 curves:1 say:2 need:1 any:14 numerics:1 strength:1 zero:3 min:1 lim:38 latter:1 converges:7 note:4 instance:1 k1:1 potential:3 take:2 indexed:1 coincide:6 strengths:1 completed:3 towards:1 unless:1 allow:1 measures:8 birkh:1 simplify:2 diam:5 preliminary:1 nothing:1 why:1 bound:1 xε1:1 considered:3 kj:3 later:1 coincides:4 kn:1 proceedings:1 points:14 left:2 sum:3 laws:21 show:5 semicontinuity:11 chapters:1 functionals:9 notations:2 bicocca:2 colombo:7 solutions:14 find:1 q1:4 based:2 scuola:1 enough:1 completes:1 lemma:29 only:12 indeed:6 attained:7 µi:47 local:3 continuity:1 rankine:1 dominant:1 notation:1 di:4 df:2 µj:5 ones:1 words:2 new:1 applying:4 closure:1 converge:3 µa:2 arxiv:1 preliminarily:1 comprising:1 remove:1 rinaldo:2 qi:29 fixed:5 approximations:3 qn:4 strengthened:1 set:11 unimib:1 ser:1 reference:4 achieved:1 guerra:8 selecting:1 2c:4 see:17 arc:1 result:6 y0:1 fail:1 close:1 theoretic:1 subject:1 uν:45 satisfying:1 inequalities:2 ways:1 siam:3 uα:31 representatives:1 state:2 µn:1 various:1 between:2 enjoys:2 approach:1 µc:2 recently:1 extend:3 flow:1 wi:21 however:1 comm:3 key:1 separately:1 amer:1 valid:1 topology:1 both:11 essentially:1 cortona:1 last:1 σn:3 limits:1 many:2 taking:2 summands:1 σy:1 σx:6 passing:11 otherwise:2 cl:2 dimensional:1 exploit:2 bη:17 sequences:5 dependent:1 respect:6 throughout:1 conference:1 ensures:1 strong:2 piecewise:23 union:1 distributional:1 atomic:1 due:3 been:3 nonconservative:1 ai:38 much:1 basic:2 topics:1 empty:1 choose:10 referee:1 families:1 concerning:3 countably:1 optics:1 observe:5 representative:1 c0:5 former:2 present:3 c4:1 case:10 appearance:1 evaluated:2 easier:1 will:1 while:5 suppose:1 viii:1 applies:2 situation:1 balance:5 procedure:3 identical:2 played:1 almost:1 thus:5 them:1 ii:4 disjoint:1 ready:1 inf:30 different:4 italy:2 problems:2 cross:1 same:3 shorter:1 parts:1 split:1 widely:1 proved:3 finite:6 independent:2 used:3 imply:2 trajectories:2 hand:2 constructions:1 moving:2 auser:1 necessity:1 potentials:1 changing:2 uˇ:1 lower:20 tracking:7 nevertheless:1 changes:1 simplicity:1 well:6 posedness:5 obviously:4 without:3 machinery:2 sets:1 position:1 usual:2 being:4 qν:1 obtain:7 dethe:1 sources:2 intervals:3 thanks:1 λj:4 λn:1 previous:1 letting:1 aiming:1 family:2 lebesgue:2 liu:4 point:4 except:1 source:5 other:5 theorem:14 semigroup:3 real:7 depends:2 exploiting:1 showing:2 decomposed:1 term:3 possibly:4 vε:17 vη:12 press:1 using:6 unique:1 vν:57 appearing:1 follows:6 dµc:5 specific:1 δo:3 steps:2 either:3 arbitrary:1 pointwise:2 right:8 methods:2 classical:1 sequence:16 some:1 mech:3 certain:1 deduce:1 moreover:8 proofs:1 provided:1 uniqueness:2 lead:1 communications:1 does:1 select:2 summand:3 refer:1 nε:13 glimm:9 equivalent:4 each:3 step:2 substituted:1 shifting:1 approximating:1 properties:4 cε:9 simpler:2 chapter:6 integers:1 extension:2 most:1 completing:4 dependence:6 srs:3 ensure:1 introduced:2 slightly:2 converging:6 soc:1 contains:1 into:1 obtaining:1 domain:1 three:1 dissipation:1 references:1 wα:22 elementary:1 lewicka:3 graziano:2 degli:2 vˇ:6 removing:2 strictly:2 there:14 u1:4 approximate:8 u2:1 conservation:19 way:1 call:2 was:2 function:7 complete:2 sequel:2 but:5 volume:2 underlined:1 construction:4 matematica:2 convergence:8 ha:2 dissipative:1 made:2 compute:3 characteristic:3 smooth:1 up:1 below:5 un:4 limit:6 continuously:2 problem:5 define:20 similar:3 eigenvector:2 obtains:1 dafermos:1 constant:26 defined:24 milano:2 abstract:1 general:3 ap:1 single:2 proves:1 exist:3 formulation:3 corresponding:2 dδ:64 path:1 physical:6 again:4 functions:21 no:1 whereas:1 when:4 vanishes:1 field:6 yang:5 role:1 papers:1 mathematics:2 conclude:1 repeat:2 denote:4 generates:1 uniformly:5 variation:8 stay:1 bounded:9 allowing:1 qχ:2 tackle:1 structure:1 implies:5 geometrical:1 algorithm:2 assume:10 cauchy:2 interval:3 curve:3 together:3 original:1 weights:6 time:1 appl:6 quantity:1 having:2 |
0704.2492.txt |@word gs:14 consider:13 depends:3 equalities:1 global:2 brownian:1 results:19 gy:1 existing:1 leads:7 eds:1 mild:3 proposition:5 entropy:2 consists:2 follow:1 eη:13 gi:3 devoted:1 dimensionality:10 depend:10 exploited:1 ts:1 tn:1 finally:6 program:1 tj:6 tk:2 under:7 stochastic:5 td:3 kθ:74 worth:2 norm:25 inform:1 case:18 random:5 risk:22 takes:2 returning:1 very:5 springer:4 choice:13 p1:1 every:1 lrt:1 lecture:1 sssr:1 exact:2 vast:1 partitions:1 squares:1 cmi:1 level:3 did:1 notes:2 t2:1 applicable:1 t1:5 large:2 discrete:1 vector:4 min:2 said:1 fourier:1 small:3 rk:1 equation:1 related:5 upper:5 smaller:4 stagewise:1 measurable:2 sign:1 matrices:1 fold:1 rate:20 design:1 chen:3 further:1 estimated:1 columns:1 machines:1 theory:11 even:3 index:28 what:3 curse:2 appear:2 cover:1 fubini:1 juditsky:2 specification:1 selected:2 expressed:1 gj:2 current:1 version:1 above:2 sup:64 replaced:1 method:1 lifshits:6 3d:1 coefficient:1 multivariate:8 simultaneously:5 respectively:4 component:2 here:7 pioneered:1 inverse:1 poverty:1 pursuit:6 mes:3 represented:1 devroye:2 along:1 κp:34 deduced:1 obtained:7 remark:17 sobolev:1 restrictive:1 technical:1 involved:1 study:5 joliot:1 allows:7 suggests:2 saint:1 postponed:1 sci:1 york:3 boundedness:2 formulated:2 spatially:1 projection:6 classification:1 extra:1 apr:1 bs:15 flexibility:2 penalized:1 apply:4 establish:7 select:3 derivatives:2 use:9 additive:15 asymptotic:2 would:2 prove:1 remains:2 beginning:1 stated:2 cauchy:1 france:1 sample:5 noting:1 call:2 ibragimov:4 typical:1 taken:2 associated:4 ρz:9 type:4 possible:3 more:1 israel:1 standardized:1 composite:1 becomes:1 operators:1 ti:1 about:1 berlin:3 appendix:3 nussbaum:2 particular:10 known:6 cases:2 hold:6 iii:8 iain:1 62g20:1 account:3 balls:3 unbiased:1 recall:3 setup:1 work:1 det:5 oleg:1 εe:4 values:1 kν:31 probabilit:1 mammen:2 following:18 ρx:3 arrive:2 example:8 proof:16 control:2 f1:2 f2:2 give:1 process:8 cited:1 organized:1 high:4 effectively:2 assumptions:20 o:8 want:1 sense:1 sharp:1 absolute:11 information:1 end:3 goal:5 rather:7 verify:3 discussion:2 orthogonal:5 id:2 lepski:15 far:1 supv:1 criterion:2 fourth:1 optimal:8 hi:2 guarantee:3 parameter:10 isotropic:7 fr:1 express:1 description:1 algebra:1 tk11:3 after:3 derived:1 collection:30 straightforwardly:1 abuse:1 fi:48 bertin:3 data:1 nonlinear:1 types:2 realized:1 short:1 convolution:1 effective:2 akad:1 hmin:11 lemmas:1 correspond:2 parameterized:1 st:1 fortunately:1 lε:1 so:5 allow:4 seems:1 worst:1 order:13 sd:3 goldenshluger:3 holds:5 establishes:2 dx:7 summands:1 fθ:2 indeed:7 over:5 choose:3 nonparametric:16 trade:1 russian:2 wiener:1 paper:9 through:1 statistical:4 mentioned:1 existence:1 satisfies:3 still:1 its:4 write:6 tending:1 derive:3 remainder:5 ext2:1 how:3 ln:17 picard:6 fix:4 kluwer:1 lh:1 li:5 better:3 estimating:1 hm:3 lr:4 condition:10 lp:25 main:4 parametric:1 overcome:1 ideal:4 maximal:3 non:3 h1:15 return:1 barron:3 propose:6 practice:1 processes:10 introduce:1 bound:12 mention:2 effects:1 they:4 instead:1 own:1 multidimensional:1 now:9 hall:3 nor:2 structural:18 2001b:2 represents:1 february:1 finite:3 equality:1 characterizes:1 university:1 events:1 2d:1 transmission:1 good:1 inequality:41 l2:6 each:3 found:2 universit:1 side:4 mean:1 em:4 domain:1 ei:3 fairly:2 ed:9 ef:15 reduce:1 gaussian:10 used:11 inhomogeneous:1 literature:3 blockwise:1 measure:2 our:21 happen:1 balance:1 event:1 es:1 shown:2 rp:15 matrix:7 space:4 quality:3 furthermore:2 since:5 crucial:1 denotes:4 rd:15 combinatorial:1 contained:1 izv:1 max:6 rm:5 adaptive:26 kfi:1 suffices:2 math:6 shows:3 wiley:1 linear:10 problems:2 associate:1 hull:1 guess:1 free:2 standard:6 difficulty:1 approaches:1 complicated:1 term:8 put:3 estimate:2 e1:13 e2:1 definition:13 r1:2 via:4 could:2 impose:3 keep:2 turn:4 place:1 massive:1 consequence:2 probab:6 βi:10 ρ2x:1 first:14 xj:8 xk:1 xi:2 probability:9 omitted:1 powerful:1 number:4 restrict:2 obeying:1 least:2 directly:2 xs:1 precisely:1 open:1 appl:3 xt:3 illustrate:1 manuscript:1 given:20 sheet:1 similarly:5 introduction:1 unknown:27 smoother:5 construct:3 their:3 assumption:30 rates:5 too:1 statement:1 intelligence:1 brevity:1 white:1 structures:1 warmuth:1 m0:10 centered:1 tool:1 helpful:1 stress:1 immediate:1 direct:1 zν:10 part:1 zθ:18 adjusts:2 natural:1 x0:4 than:6 approximation:5 showed:1 require:1 second:4 penalization:1 minimize:1 states:1 classes:6 risks:1 fˆ:21 were:3 providing:1 treated:1 doc:1 johnstone:2 motivation:1 comput:1 quence:1 generality:5 ann:13 modern:1 argument:1 generalization:1 summing:2 sometimes:1 say:3 pay:1 delta:1 selectors:1 seek:1 clearly:4 viewed:2 kohler:1 paths:5 constructions:1 smallest:1 zero:3 depending:4 lim:3 εw:1 ideas:1 note:21 instance:1 k1:10 k0:9 measurability:1 indexed:1 performance:1 zs:5 εa:10 tekhn:1 accuracy:8 2001a:2 cnrs:1 continuous:3 unless:1 though:1 khasminskii:2 quote:2 price:1 who:2 systems:1 metrics:1 most:2 et1:2 2tp:1 kau:1 nuisance:1 measured:1 class:10 stands:1 hj:15 haifa:3 observation:7 hmax:12 kd:2 considered:2 σi:1 clear:2 later:2 coincides:1 mrs:1 spokoiny:8 unreasonably:1 proceedings:1 construction:9 principle:4 exp:5 left:2 typically:2 section:14 fact:7 repeatedly:1 probl:1 selection:19 show:5 mains:1 tkk:1 appearing:1 ki:2 spaces:4 tks:2 keywords:1 next:6 find:2 d0:25 d1:1 slow:1 based:8 knowledge:3 parameters:3 title:1 controls:1 should:6 lemma:16 only:9 explicitly:1 rotation:1 developed:2 local:1 preliminaries:1 discuss:6 meant:1 do:2 triangle:2 therefore:10 notation:5 di:2 de:2 expectation:3 variate:2 aim:1 cannot:5 words:1 dy:5 compute:1 dt:45 du:1 procedures:3 neither:2 alexander:1 crp:1 adapts:2 flour:1 covering:2 conditions:12 arxiv:1 mathematicians:1 yield:1 optimally:6 nauk:1 birg:1 verification:1 mathematically:1 rfi:1 fixed:8 view:12 www:1 kernel:20 set:16 exists:7 achieved:1 imposing:1 supt:1 kolmogorov:1 j1:3 j2:3 maximum:2 achieves:1 edition:1 see:14 radius:2 result:7 deduce:1 arg:4 close:1 forthcoming:1 kf:1 best:4 subject:2 satisfying:7 likelihood:2 inequalities:13 nemirovski:6 ways:1 talagrand:2 functionals:1 artificial:1 partition:6 state:5 determined:3 envelopes:1 between:2 boundary:1 approach:9 email:2 supposed:2 available:2 publishers:1 terms:5 ks:2 2πiω:1 complement:1 cavalier:2 combining:6 however:3 birge:2 hypothesis:2 no:6 key:7 modeling:4 problem:19 improve:1 minimizing:1 restrictions:1 fˆν:11 last:6 sacrificing:1 always:2 taking:2 density:2 equal:1 σe:2 fulfilled:5 chosen:2 connection:2 sudakov:1 context:6 interesting:2 variance:4 contribution:1 estimation:51 expression:1 etm:2 ck:2 fields:2 point:1 simple:2 continuation:2 asymptotically:3 βmax:7 cf:2 walk:1 dimensional:9 adaptation:12 framework:2 polynomial:1 respect:12 cp:1 bθ:53 technicalities:1 kernels:17 ensures:2 described:5 basis:2 union:1 maxi:1 three:1 strategy:2 reduction:5 much:1 pf:1 asymptotics:4 basic:5 anisotropic:2 huge:1 orfi:1 universal:1 partial:2 define:10 direction:10 arises:1 corresponding:6 both:2 quantities:1 sufficient:3 subspace:1 covariance:3 new:3 observe:3 understand:1 c3:2 c2:9 c1:15 denote:7 c7:1 c6:1 present:4 c4:2 applied:1 k2:13 multi:14 novel:2 eit:2 exponential:2 ez:1 means:2 appearance:1 empirical:1 value:3 will:17 euclidean:4 while:2 suppose:11 error:3 situation:3 property:3 procedure:12 exponent:1 losses:4 attains:2 orientation:1 2βi:4 compact:1 vol:2 metric:5 thus:7 iv:6 ii:43 need:4 regularity:3 bias:5 il:1 ready:1 supremum:1 bν:7 regression:14 dkf:1 different:1 develop:1 combination:1 prior:1 suggest:1 make:1 belong:7 intrinsic:5 same:7 any:25 emphasize:4 φf:1 bernoulli:1 proved:2 several:1 grows:2 independent:8 ball:8 infinity:1 imply:1 trivially:2 i1:10 laboratoire:1 i2:4 effect:1 hand:10 massart:3 traditionally:1 delicate:2 aggregate:1 identity:2 mentioning:2 lower:6 suitable:1 off:1 proceed:1 older:13 nevertheless:3 variety:1 well:7 topics:1 analysis:2 obviously:1 academic:1 without:6 c5:1 components:3 sets:1 model:41 soviet:1 dimension:1 usual:1 learning:1 s2:1 proposed:2 heavily:2 being:3 identically:1 obtain:13 rest:1 golubev:6 bandwidth:9 underlying:6 tools:2 integer:1 g0:4 univariate:5 bit:2 previous:1 heuristic:3 rs:1 vσ:1 preprint:1 family:6 candidate:1 majority:1 cl:3 kerkyacharian:5 except:1 smoothness:20 reasons:2 belongs:6 theorem:27 wias:2 guarantees:1 transformation:2 real:4 around:1 stein:1 fulfillment:1 aggregation:4 corresponds:2 objective:1 know:1 immediately:3 ams:1 moreover:5 formal:1 meaning:1 loss:5 necessary:2 like:2 semi:5 follows:18 specific:2 informative:1 eζ:1 yields:2 either:2 arbitrary:4 setups:2 topologie:1 pointwise:5 reduced:2 terminology:1 therein:2 deviation:5 exceed:3 because:5 methods:6 lectures:2 absolutely:2 some:11 briefly:1 understood:1 linearly:1 examples:4 choosing:1 convex:2 kdt:1 proofs:2 ourselves:1 provided:1 scale:4 congress:1 lead:3 umr:1 univ:1 minimax:26 get:2 does:9 unit:1 tends:2 remind:1 moderate:1 straightforward:1 tsybakov:4 minimal:3 schwarz:1 claimed:1 noise:8 slight:1 huber:2 l1:1 bi:2 expansion:1 rue:1 lugosi:2 although:2 2m:24 denoising:1 dictated:1 properties:7 stage:1 chapter:1 a1:3 stone:6 works:1 sharper:1 column:1 theorems:1 discussed:2 dependence:3 folland:3 cl1:1 ds:1 probabilities:1 range:1 estimator:39 ensure:2 positive:5 other:11 automatically:2 differentiable:1 subset:1 contains:1 previously:1 into:3 within:2 integral:2 functional:13 verified:1 variable:1 appropriate:2 right:3 references:4 estimators:32 computational:1 62g05:1 often:1 statistics:4 span:1 additional:5 assumed:1 support:1 there:16 transform:1 why:1 restricts:2 describes:1 way:3 var:1 fˆe:1 statist:14 was:4 a2:3 pg:2 function:29 constants:2 complete:2 form:5 hs:1 sequel:2 analyse:1 but:2 idea:4 idealized:1 properly:1 gain:1 larger:2 convergence:13 attainable:2 true:1 hd:18 auxiliary:3 supx:6 applying:1 surprising:1 evident:2 minkowski:1 gyo:1 smooth:4 bounds:9 us:7 international:1 below:4 levit:3 empty:1 sum:2 continuously:1 demonstrate:1 distribution:2 marseille:1 similar:1 called:2 ac:7 taylor:1 constant:18 up:1 defined:7 inadequate:1 abstract:2 statistic:1 general:14 transm:1 single:8 exist:4 together:3 formulation:1 orders:1 6d:1 inf:28 explains:1 constructed:1 h2m:3 functions:20 entirely:1 curie:1 when:5 detail:1 application:1 interested:2 special:1 spatial:1 department:1 realize:1 poor:1 numbers:1 stat:1 truncate:1 models:13 translated:1 kh2:1 uniformly:3 2n:1 includes:3 deriving:4 generated:1 important:5 bounded:3 additionally:1 vectors:8 throughout:2 provence:1 needed:2 structure:13 implies:4 faster:2 using:6 assume:15 established:1 interval:1 rule:11 kh:2 c8:1 attaining:1 oracle:42 optimality:2 requires:3 avoid:2 |
0704.2493.txt |@word limited:1 korner:1 consider:1 chinese:1 maximum:1 induces:1 results:13 melosh:1 extensively:1 four:5 gf:3 2n2:2 consists:1 2pµ:1 expressions:2 polluted:1 contributions:7 whose:2 maximally:1 lcsr:2 calculate:5 b605:1 ali:1 tr:3 containing:2 charge:1 those:3 th:1 text:1 dramatically:1 applied:1 amplitudes:3 straightforward:2 very:2 ψk:4 induce:2 wave:11 difference:3 condition:1 leads:2 hamiltonian:3 applicable:1 large:9 vector:9 kiselev:4 indices:1 enhance:1 mishima:1 smaller:2 trails:1 consistent:4 estimates:1 prediction:1 literature:2 scet:4 zero:4 castro:1 chen:3 ter:1 4x1:1 dian:1 established:1 errors:2 abazov:1 abe:1 suppressions:1 trivial:1 section:3 expressed:4 g28:1 current:3 axial:4 experiment:3 poles:1 above:7 values:2 method:2 movement:1 coefficient:4 outgoing:4 hern:1 fiz:1 respectively:4 component:2 here:4 understanding:1 feldmann:1 fleming:1 mev:2 china:2 others:1 based:1 strong:2 equations:1 violate:1 obtained:1 incoming:5 institute:1 study:7 larger:2 mx:9 amount:1 b612:1 pick:1 resonance:1 chang:2 suitable:1 makes:1 via:1 followed:1 br:18 gluons:4 apr:1 prefer:1 ebert:1 m2bc:2 gluon:1 meson:30 m2ρ:1 unit:1 v0p:3 coester:1 d73:1 use:11 d71:2 d74:1 commun:1 covariant:11 d68:1 ψp:1 predictions:1 next:1 few:1 depicted:1 m1:17 m0:18 qcd:2 mysterious:1 godfrey:1 type:4 theoretical:1 diagrams:2 more:2 ap2:3 becomes:2 operators:4 ap1:2 lightcone:1 odinger:1 known:1 cases:1 encountered:1 iii:2 must:1 states:3 account:1 orner:1 extension:1 mc:2 mb:4 science:1 equation:3 work:6 mi:1 dx2:6 mj:10 mu:1 cai:1 mq:2 transparency:1 choi:2 following:5 under:1 example:1 proof:2 beijing:1 wang:3 give:1 calculation:6 relativistic:2 organized:1 santorelli:2 sanda:1 chiu:1 ratios:9 indicates:1 lorentz:1 m22:4 arise:1 munoz:1 standard:1 counting:3 simple:1 gev:11 zuo:1 diehl:1 provide:3 discussion:1 acts:1 dependent:1 answer:1 d69:2 parameter:1 2mx:3 oz:1 fp:1 simplicity:1 product:2 de:1 description:4 fv:1 singular:1 may:2 after:2 singularities:1 confirmed:1 diagram:2 twqcd:1 fj:3 fk:3 data:6 constants:4 short:3 convolution:3 effective:5 light:29 explicit:2 element:2 fortunately:1 so:2 d63:2 fundamental:1 barnes:1 subsequently:1 integrand:1 order:9 exclusive:7 brodsky:1 interpretation:1 numbers:3 pointed:1 insight:1 vary:1 interpreted:1 course:1 paper:2 including:2 pinsky:1 suffer:1 its:3 group:2 thank:1 decay:31 chosen:1 masses:2 solving:2 li:4 forms:1 production:4 degrees:2 fig:2 ours:1 non:9 motivated:1 ihv:2 polarizations:2 practice:1 framework:5 polosa:1 b578:1 b579:1 front:19 rotation:1 now:2 discuss:1 easily:4 2p:3 fully:1 level:1 2x:1 factorizable:1 fρ:1 d49:1 magnitude:5 mode:4 radial:2 found:2 2h:2 characterized:1 d44:1 individually:1 el:1 ei:2 aubert:1 chung:1 inputs:1 hadronic:3 energy:3 gaussian:3 used:4 solution:1 decays:16 connect:2 changed:1 quantum:4 our:7 ukai:1 transitions:3 extract:1 special:1 out:1 vcb:4 dominates:1 matrix:7 factors:24 electronic:1 furthermore:2 since:3 rx:1 qc:1 denotes:2 fx:1 extrapolate:1 ra:1 denoted:1 induced:1 ref:3 charmonia:2 rj:3 foundation:1 theory:4 interactions:1 quark:23 difficulty:1 8p:1 e2:2 enormous:1 fixed:1 language:1 recast:1 rule:6 could:5 transition:7 βx:1 diquark:1 corrections:2 yue:1 neglect:2 βj:1 first:6 xi:1 features:1 variables:2 powerful:1 number:1 channels:1 antiquark:5 simplified:1 fast:1 directly:3 ℓa:1 miss:1 1p:1 given:7 perturbation:1 sates:1 obtainable:1 introduction:1 leading:1 eqs:2 system:2 adopted:1 fazio:1 their:1 rates:3 listed:1 calculations:2 convention:1 b622:1 molecular:1 kulikov:1 final:5 recovered:1 shell:1 academy:1 pirjol:2 buchalla:1 employ:1 x2:19 natural:1 eliminated:2 x1:11 than:4 coefficients:2 cheng:5 distance:3 elegant:1 collaborations:1 acknowledgement:1 see:3 suzuki:1 collinear:5 determined:3 yang:2 amplitude:6 were:1 bauer:3 minus:1 perturbative:4 lowest:1 seth:1 emission:1 close:2 need:3 hsieh:1 sap:1 clearly:1 viewed:1 wilson:5 wirbel:1 partly:1 latter:2 polarization:3 sciences:1 high:1 internal:3 timelike:2 2gµν:1 electric:1 shall:1 collaboration:7 most:1 involving:2 charm:1 formulae:2 phase:2 abd:1 analytically:1 measured:3 sa:2 branching:14 don:1 ckm:3 clear:1 vertices:3 feynman:3 points:2 exp:1 verde:1 physics:1 xπ:1 lying:1 2m2:4 cdf:2 2m1:1 particularly:1 violation:1 definite:1 supported:1 longitudinal:1 iǫ:2 maiani:1 nonfactorizable:1 constituent:2 d4:3 d2:6 d0:2 ground:1 q2:7 ratio:4 just:1 parameters:4 likhoded:2 should:4 analytic:1 only:6 explicitly:1 onishchenko:1 specify:1 buras:1 factor:11 local:1 over:1 do:2 3m:2 notation:1 get:1 spurious:3 v1p:3 rept:1 2mj:3 during:1 dp:3 colangelo:1 processes:5 arxiv:7 factorization:9 investigate:1 recoiling:2 release:1 through:1 obscure:1 x22:1 explanations:1 exists:1 frame:2 arrives:1 flip:1 observed:1 depends:1 descriptions:1 enhanced:1 p22:1 discussions:1 recently:1 contour:1 page:1 pakvasa:1 annihilation:2 αs:1 qµ:4 review:1 uα:1 uβ:1 state:22 difficulties:2 various:1 between:3 invariant:2 subscript:1 babar:2 approach:7 d55:1 discovery:1 hwang:3 terms:7 riquer:1 wa:8 nature:1 wm:3 emitted:3 however:3 wv:11 ji:1 huang:1 kev:1 beneke:1 distribution:3 improve:1 received:1 vud:6 polyzou:1 tractable:1 many:3 taking:2 uncertainty:1 according:1 sensitive:1 vus:3 receives:1 quite:1 contribution:6 coloumb:1 saleev:1 experimental:4 among:1 v2p:3 b585:1 cc:3 ca:1 cg:1 cd:1 lhcb:3 simply:1 bα:1 bβ:1 cs:1 proved:3 rep:1 cp:1 pseudoscalar:1 considering:1 described:3 hadrons:1 kinematic:1 pz:2 discrimination:1 three:3 tiny:1 lopez:1 yao:1 pa:2 interest:1 expected:1 yad:1 ph:7 andez:1 define:1 schr:1 corresponding:6 chua:3 quantities:2 leptonic:2 interpretations:1 gap:1 χc1:2 vµ:2 input:3 c2:2 c1:2 presented:1 spin:1 present:4 p2:12 p1:3 chapovsky:1 value:1 will:5 while:8 replaced:4 situation:1 region:2 loop:2 galkin:1 studied:3 orientation:1 spacelike:2 phenomenological:3 λqcd:3 refs:3 thus:6 them:3 iv:2 ii:4 cluster:1 cone:3 piccinini:1 currents:1 different:8 moves:1 atom:1 cheung:1 grant:1 perform:2 belle:2 make:3 accomplished:1 same:1 orders:4 pauli:1 utilizing:1 naive:1 higher:1 development:1 independent:2 extended:1 velasco:1 slightly:1 assignment:1 i3:1 numerical:4 v0:1 v1:1 v2:1 qβ:2 manifestly:2 ab:1 task:1 off:1 modes:1 pµ:4 nevertheless:1 studies:4 consistence:1 well:3 without:1 solve:1 spectator:1 model:12 left:2 swanson:2 proposed:3 being:1 qν:3 glueball:1 obtain:6 rest:1 jaus:3 relevant:1 thanks:1 useful:2 momenta:2 previous:3 faustov:1 extracted:1 wei:2 seems:1 except:2 vij:1 potential:1 treatment:2 iπ:1 heavier:1 excited:2 momentum:10 b504:1 2qµ:2 rules:3 iγ:4 decomposed:1 d65:2 know:1 similarly:1 using:10 unique:2 color:2 mod:1 fbc:1 g33:1 theor:1 imposed:1 lost:1 particle:3 identifying:2 systematically:1 follows:1 τbc:1 performing:2 qm:2 integrals:1 helicity:1 soft:4 reduced:1 2m0:3 replacement:3 because:2 deal:1 shen:1 successfully:1 some:4 calculated:3 productions:1 table:5 proper:1 small:2 fπ:3 keum:2 scale:5 describing:1 zong:1 phenomenal:1 quarks:6 integration:6 mesons:5 when:1 decomposition:2 b601:1 provides:1 assuming:4 o6:1 o2:3 o1:3 q2c:1 d61:1 power:4 bc:75 each:3 lu:1 conventional:2 expansion:1 acosta:1 bu:2 anisimov:1 although:1 2m:1 pv:5 cα:2 properties:1 hadron:4 comparison:2 about:2 cautious:1 deserved:1 freedom:2 dependence:2 o:3 pν:4 range:1 plus:1 greatly:1 2x1:3 2x2:2 consequently:1 d60:1 ivanov:2 d62:1 heavy:6 rev:28 lautenbacher:1 into:2 bound:2 martirosian:1 mbc:18 been:3 national:1 operator:2 proportional:3 uncertainties:7 rely:1 hep:8 additional:1 comparing:2 transfer:2 support:1 there:9 nucl:4 long:1 width:8 hef:2 describes:1 low:1 way:2 kagan:1 was:1 propagator:1 cancel:2 therefore:2 function:6 4παem:1 form:34 hp:3 m2:22 hv:2 but:9 properly:1 aµ:2 related:3 hm:2 ha:3 sµν:2 penguin:1 inside:1 up:1 limit:1 3mj:1 spectroscopy:1 sum:4 problem:3 b588:1 similar:1 called:1 ex:1 strongly:2 ac:1 taylor:1 constant:10 charmonium:14 defined:3 abstract:1 describe:3 denote:2 ap:5 together:1 lifetime:2 formalism:1 physical:4 qα:1 functions:5 compared:1 lightlike:1 no:4 amounts:1 eq:5 nc:7 hybrid:1 handed:1 field:1 ornqvist:1 other:8 ap3:5 test:3 b643:1 ap0:4 conclusion:2 elements:5 kinds:1 excitation:1 pseudoscalars:1 nieves:1 b569:1 vertex:4 shown:4 covariance:2 a1:9 a0:1 γee:2 a2:2 included:2 ξc:1 structure:2 stech:1 suffers:2 coupling:2 required:2 kisslinger:1 4p:2 mass:8 fact:2 n1:17 n2:6 lett:13 svp:3 stewart:2 |
0704.2494.txt |@word represent:1 now:1 code:2 consider:2 chain:1 heggie:2 astron:1 results:10 four:3 eds:2 invariably:1 winds:1 follow:1 expressions:1 oldest:2 prolongs:1 retention:6 relationships:2 arcsec:1 grape:3 calculate:1 fellowship:1 show:2 young:5 quasi:1 program:2 those:7 stable:3 3hj:1 include:3 dramatically:2 indicating:1 sinking:4 commission:1 supported:2 easier:1 orthogonal:1 very:6 aarseth:4 none:2 induce:1 difficult:1 fall:3 difference:1 logarithmically:1 encounter:2 illustrated:1 clouds:5 retaining:3 evaluation:1 beauchamp:1 prolonged:2 variations:3 large:4 excellence:1 small:1 lewin:3 torques:1 favoured:1 upper:5 strongly:1 work:1 force:1 trend:10 consistent:8 estimates:1 direct:2 pasj:1 tex:1 le1:1 second:1 timescales:1 profiles:2 further:6 dynamics:2 implemented:1 extremities:1 dupuy:1 hernquist:2 rate:4 assistance:1 contributed:1 near:1 m31:1 henceforth:1 above:2 selecting:1 falling:1 increasing:3 method:1 contrast:3 shocks:1 body:14 bonnell:2 evolving:1 full:5 escaping:1 sinks:1 degree:4 bergeron:2 respectively:4 component:3 proc:2 here:3 understanding:2 behaviour:1 objects:10 l25:1 groups:1 relaxation:5 alone:1 depend:1 along:1 strong:5 equations:2 logarithmic:1 contraction:2 box:1 convert:1 kurucz:2 institute:2 until:5 larger:5 later:1 significantly:1 suggests:2 amount:1 resulting:3 wallenberg:1 action:1 adopting:1 makes:1 der:3 plotted:1 via:5 although:3 scales:1 apr:1 madingley:1 explained:1 highly:1 brought:1 aimed:1 total:3 cloud:8 dne:1 use:3 reflected:4 takes:1 would:2 faint:2 finally:1 next:1 few:2 therefore:8 luminosity:1 themselves:1 piatek:1 prep:4 marginally:1 more:13 fractions:1 fellow:1 upcoming:1 populations:4 becomes:1 factor:1 envelope:4 casares:2 disruption:1 terminates:1 apjs:1 varying:2 kulkarni:2 annuli:1 must:3 states:1 mg:1 expan:1 decouples:1 setup:1 mn:1 modified:1 makino:2 remain:1 assumptions:1 wesemael:1 evolved:2 following:1 under:1 metal:3 centrally:3 example:1 control:1 nearest:1 references:2 triple:1 figure:2 predict:1 attribute:1 chip:1 magnitudes:1 miw:1 sample:2 collision:1 minimum:3 numbers:1 allowed:1 spanning:2 occur:1 swedish:1 regularization:1 end:1 rather:1 discussion:1 zhang:2 globular:12 barbuy:1 located:1 vital:1 contrasts:1 low:1 fourth:1 significance:1 parameter:2 isotropic:1 profile:3 edinburgh:2 continues:3 merritt:3 spitzer:2 may:10 after:5 derived:1 orbits:1 hence:9 plane:2 designed:1 society:1 law:1 data:1 parallel:1 efficiently:1 aj:1 short:1 dynamical:7 effective:2 elmegreen:1 author:1 summing:1 cosmology:1 fraction:3 switch:1 cannot:1 used:5 fundamental:1 decreasing:2 sb:4 subsequently:2 operate:1 order:4 se:1 typical:2 evolutionary:1 remnants:2 closely:2 developed:1 over:2 move:1 vary:1 bate:2 paper:3 through:3 still:1 its:10 galaxy:2 observational:1 style:1 derive:1 rapidly:2 thank:1 fit:1 imf:3 susceptible:1 masses:9 l69:1 decreases:3 late:1 mbd:1 primordial:10 degrees:1 systems:5 constitutes:1 clusters:51 main:1 might:1 image:1 correspondence:1 freeman:4 them:1 greater:1 combination:1 trh:4 matches:1 stratification:1 blackford:1 hunter:2 processes:9 introduce:1 controls:1 scaling:1 effects:4 they:5 half:1 thus:1 yr:3 maxwellian:1 halo:3 structural:6 easily:1 february:1 several:1 hereafter:1 brightness:2 elson:4 fully:1 university:8 routines:1 loosely:1 possibilities:1 realistic:2 magnitude:3 lauer:2 radial:3 fbh:10 found:2 circular:2 traces:1 mean:2 subsystem:9 bright:2 differential:1 telescope:1 scheme:1 energy:4 hard:1 reduce:1 snapshots:1 constitute:2 contracting:1 astrophysical:1 expect:4 sion:1 our:22 eq:1 special:2 space:5 furthermore:1 since:6 projected:2 research:3 particles:1 collisions:1 hill:1 rc:25 newly:1 induced:2 smc:6 viable:1 predicted:1 foundation:1 earlier:1 theory:1 marel:2 interactions:4 portegies:1 galaxies:4 possibility:1 standard:1 formation:6 imaging:1 members:1 intermediate:1 lmc:13 remainder:1 generate:4 log:11 incorporates:1 hubble:1 retained:2 segregated:1 determining:1 could:1 impose:1 so:6 times:6 motion:1 length:4 produce:1 massive:15 incorporated:1 kroupa:2 retain:2 undergo:1 onto:1 frequent:1 first:6 origin:5 there:7 striking:1 possessing:2 powerful:1 number:4 production:2 hardening:2 construct:1 directly:1 reached:1 size:3 primordially:4 given:3 ancient:1 smaller:1 temperature:1 likely:1 similarly:2 introduction:1 leading:2 interact:1 behaves:2 system:1 adopted:1 survivability:1 their:11 perturbations:1 rates:2 observations:7 lifetimes:1 iau:2 hundred:2 wilkinson:5 ranging:1 bridgeland:1 listed:1 collapse:5 relationship:2 academy:1 tool:1 exactly:3 accurately:1 hut:2 released:1 part:3 gyr:13 simulate:2 authors:1 accumulation:1 than:13 population:7 begins:6 wide:1 mclaughlin:2 observatory:2 johnson:1 showed:1 princeton:2 too:2 see:4 submitted:1 mortonson:1 sweden:1 were:1 mackey:21 pasp:1 galactocentric:1 treated:1 projections:1 exhibit:1 accounted:1 fashion:1 derivative:1 klis:1 dynamically:2 ages:2 randomly:1 already:2 seed:1 manner:1 stalls:1 seen:3 bhs:38 constrained:1 clearly:2 ray:3 lie:3 reticulum:1 issue:1 zero:1 studying:1 self:1 responsible:1 mechanism:1 majority:1 empirically:1 internal:5 take:1 observationally:1 algorithms:1 explanation:1 eff:3 play:2 towards:2 trace:1 centre:3 discerning:1 who:1 reach:1 most:8 printed:1 letter:1 preliminary:1 pair:2 marie:1 interacting:1 latex:2 ejected:4 acknowledges:1 especially:1 eject:1 verbunt:2 calculated:2 hurley:5 implications:2 km:3 typeset:1 odds:1 natal:5 points:2 fukushige:1 velocity:9 physics:2 naively:1 incomplete:1 selection:1 particularly:1 apj:6 leicester:2 detection:2 random:1 scattered:2 friction:1 unsurprising:1 discovered:1 radii:3 relation:1 zwart:1 corner:1 find:2 dτ:1 o:2 slow:1 ratio:1 implementation:1 escaped:1 distributed:2 negligible:1 elucidated:1 should:2 only:6 black:9 rich:1 indeed:2 integrate:1 interested:1 equilibrium:1 do:2 his:2 sagittarius:1 means:1 contracts:1 de:2 account:1 imparted:1 soon:1 define:1 hampers:1 gravothermal:1 words:1 report:1 during:5 procedures:1 shaping:1 fe:3 reveal:1 evolution:38 technical:1 densities:2 willems:2 threebody:1 curie:1 fields:2 arxiv:1 median:1 european:1 wfpc2:3 vkick:3 investigate:1 renzini:1 common:1 eventually:1 including:1 cycles:1 explanations:1 view:1 respond:1 2007a:3 requirement:1 exists:1 undergoes:1 0ha:1 respect:1 observed:19 namely:1 computer:1 radius:22 result:5 close:5 luminous:1 forthcoming:1 best:1 subject:1 pete:1 phases:1 potential:3 runs:13 subsequent:2 continually:1 initially:5 outside:2 between:9 tens:1 drawn:1 neither:2 encounters:2 comparable:3 recently:1 reproduced:1 nature:2 importance:2 supernova:5 attention:1 weak:2 however:9 key:2 unusually:1 group:1 improve:1 concentrated:3 received:1 prescription:1 limits:3 solely:2 heating:6 contract:2 april:2 tout:3 contribution:1 meylan:2 otherwise:1 pre:3 presumably:1 relevant:1 pols:2 extent:1 timescale:1 point:3 simple:1 had:1 address:1 jeans:1 binarity:1 sampling:2 simply:1 dependent:1 table:2 throughout:1 runaway:1 ct:1 described:2 leads:3 simplification:1 dsph:1 due:19 been:4 pc:10 reduction:1 much:5 slowly:3 change:1 interest:1 progenitor:2 expected:3 ph:3 fig:3 woosley:1 obtained:1 life:2 describe:1 controlled:1 both:8 sufficient:1 formed:7 gas:1 requires:1 modelling:4 observe:3 lives:1 external:4 decreased:1 kicks:8 general:1 present:3 case:1 adm:1 heger:1 defining:1 ejection:4 harder:1 mtot:12 value:1 galactic:6 will:4 receive:2 while:4 ar:1 investigating:1 study:1 identical:6 planar:1 compact:3 binding:1 non:6 surface:2 equal:1 cluster:62 unit:1 bias:1 vesc:2 globulars:3 limit:1 concentration:1 binary:13 different:1 thereby:2 grant:2 acknowledgments:1 indistinguishable:2 same:2 any:3 units:2 physical:3 infer:1 higher:1 development:3 evolve:1 investigated:1 peaks:1 numerical:1 driver:1 effect:2 possible:3 driven:2 v2:1 levels:1 uses:1 purpose:1 fornax:1 cusped:2 expand:2 weakly:1 off:2 older:1 studies:2 colour:1 no:8 well:5 roughly:4 analysis:1 evolves:3 severe:2 without:1 greatest:1 sets:2 termination:1 model:12 binaries:8 l105:1 just:1 less:6 being:2 mcmillan:2 expanding:1 obtain:2 valuable:1 assigned:1 sources:1 tms:3 positions:3 scattering:3 yet:2 rapid:1 kluwer:1 density:10 royal:3 except:2 exclusively:1 ofview:1 spread:2 nor:1 hermite:1 extensive:1 possess:3 remaining:3 resolved:1 atmospheres:1 saturation:1 march:1 appreciated:1 term:1 spanned:1 early:12 possibly:1 increases:1 kpc:2 mon:1 denser:1 press:4 using:2 accepted:1 name:1 r136:2 loss:14 necessary:1 like:1 lost:1 velocities:2 alice:1 noted:1 2007b:1 either:1 lose:2 rarely:1 become:1 terminology:1 therein:1 because:6 old:4 methods:1 classical:1 sequence:1 creation:1 some:1 back:1 understood:1 offer:1 ejections:2 gilmore:12 choosing:1 escape:6 duration:1 extended:4 loses:1 matching:1 provided:2 gradually:3 scale:6 dense:2 lead:1 sufficiently:1 poorly:1 measurements:3 per:1 depletion:1 does:4 select:1 provides:1 assuming:1 escapers:2 unstable:1 τmax:10 imply:2 core:35 noise:2 run:29 power:1 retains:2 each:10 bh:45 expansion:22 stellar:33 symp:2 hst:3 tidal:7 properties:5 about:3 simplest:1 central:13 carried:1 high:1 universe:1 grijs:2 dependence:2 7rh:1 simulation:2 acs:3 convenient:1 range:6 a2:1 ioa:1 entered:1 other:3 road:2 soc:1 cambridge:6 mbh:3 significant:9 previously:2 into:3 within:3 integral:1 bound:2 three:2 phase:8 appropriate:2 right:1 accounts:1 tiny:1 determine:1 lund:2 proportional:2 massloss:1 often:1 van:3 additional:2 real:1 confident:1 assumed:2 support:3 initial:9 long:2 dispersion:3 width:1 structure:1 stars:24 crucially:1 deposited:1 consists:1 function:4 complete:4 form:3 annulus:1 forming:1 collapsed:1 regard:1 but:5 astro:3 heat:3 recoil:1 segregation:4 mnras:9 magellanic:12 considerable:1 maximised:1 rotation:1 places:1 versions:1 gravitational:1 attached:1 maximum:2 eh9:1 dordrecht:1 below:1 simplifying:1 uk:3 2003b:1 demonstrate:2 distribution:6 2003a:6 similar:4 average:1 detailed:1 adopt:1 defined:2 cover:2 abstract:1 myr:19 heated:1 evidence:1 single:5 arises:1 file:2 simulations:6 knut:1 lifetime:1 reflecting:2 moves:1 distributions:2 proceeds:3 fill:1 again:1 variety:2 relax:1 when:1 depth:1 field:3 conditions:2 role:2 details:3 department:1 poor:2 briefly:1 transferring:1 star:11 models:16 durations:1 resembles:1 uniformly:1 koga:1 variation:1 prepared:1 cb3:1 metallicity:4 important:5 included:1 transfers:1 astronomy:3 explosions:5 exposure:1 sigurdsson:2 implies:1 longer:2 assume:1 typically:2 age:18 holes:9 together:1 mimic:1 dramatic:3 mass:42 fact:2 time:11 n0:2 cores:2 once:2 starting:1 original:1 evenly:2 |
0704.2495.txt |@word limited:1 sci:1 consider:2 remarkable:3 similarity:1 caused:2 magnetic:1 berry:1 dynamic:1 results:32 elisabeth:1 existing:1 illustrated:2 eds:1 gang:1 computation:1 edu:1 consists:1 mugnier:3 contributions:10 hole:3 causes:1 whose:3 requested:1 inverse:3 calculate:1 zone:1 segall:2 tw:1 subjected:1 quadruple:2 tween:1 charge:2 okada:1 those:4 excluded:1 ohtsubo:1 analogous:3 include:3 fukuda:2 madsen:1 divergent:1 applied:4 comparatively:1 mainstream:1 advantage:1 vln:1 very:9 frequencies:10 inset:1 wave:3 oxides:1 electron:8 fan:1 cellular:1 refractive:1 resonant:4 emphasized:2 difference:2 nor:1 cmn:1 34a:1 level:4 transmission:1 positions:2 rosenzweig:1 michael:1 solution:1 correct:1 labels:4 solved:1 bonner:1 red:4 science:2 small:1 biological:1 optics:1 lines:3 louie:1 benjamin:1 mn:4 sergey:1 consistent:1 kato:1 defect:3 claudio:1 sign:1 approximation:2 prevails:1 second:8 monkhorst:2 enhancement:1 further:3 ter:5 chem:3 carlo:1 linear:3 even:2 index:1 nonlinear:5 plays:1 sheng:1 nano:1 sum:2 selected:1 bergman:1 current:3 infinitesimal:7 absolute:1 abu:1 above:3 flm:2 rd:1 waveguide:1 consisting:3 filled:1 raton:1 coefficient:3 edited:2 full:11 exchange:1 perdew:2 divergence:2 component:13 vanderbilt:1 here:2 atoms:6 lack:1 reported:2 asymmetry:1 compose:1 gga:1 address:1 represented:1 dederichs:1 along:1 strong:1 table:14 appears:1 change:2 simulating:2 obtained:4 solid:2 spite:2 uitert:1 institute:1 study:9 studied:1 matsui:1 extreme:1 ignoring:1 significantly:2 spheres:1 periodic:2 resulting:17 masuda:1 published:4 usually:2 portions:1 implement:1 changes:2 inspires:1 taipei:1 york:2 composed:1 via:9 useful:2 addresses:1 extra:1 apr:1 aps:1 semiconductors:5 fig:11 resta:1 highly:1 flexibility:1 anions:1 inorganic:1 total:2 nml:1 unit:14 gaas:6 aldo:1 projector:1 levine:5 double:1 positive:2 negative:4 next:1 comparing:1 depicted:4 doubt:1 regel:1 therefore:1 m2:1 doubling:3 proportions:1 possible:1 more:1 3ev:1 advance:1 conclusions:2 factor:1 corrected:1 validity:1 herein:1 tested:1 visual:7 known:2 foundations:1 cases:1 iii:7 ernzerhof:1 capturing:1 insights:2 states:9 springer:1 left:1 mb:1 ml:1 equation:7 work:6 insists:1 modified:2 tsev:1 occupation:1 values:5 fln:1 following:1 duan:1 modifies:1 lars:1 performed:2 wedge:1 dedicated:1 wang:2 indicated:1 give:3 calculation:13 cited:2 therin:1 high:8 sphere:1 purple:1 minimum:1 metamorphosis:1 numbers:1 degenerate:1 unphysical:1 species:1 presently:2 information:1 needs:2 netherlands:1 rather:1 ryd:1 zhang:1 feature:6 georg:1 chemical:1 far:1 rubio:1 criterion:1 influences:1 opt:3 optimal:7 axis:1 parameter:2 mau:2 modulation:2 after:1 lab:2 differing:1 applications:1 wrong:1 plane:2 lax:1 date:1 andersen:1 data:12 fm:1 fn:2 luisa:1 physical:2 effective:2 quoted:1 spectra:1 relation:1 parameterized:1 element:4 provide:1 olejnik:1 so:4 correlation:1 subsequently:1 order:9 brillouin:1 vml:1 pulsed:1 aforementioned:3 xuan:1 developed:1 mainly:1 soc:1 damage:1 symbols:1 helena:1 experiments:10 lasers:1 signs:1 mentioned:2 joubert:1 still:5 ieee:3 its:4 before:1 onsson:1 constituted:1 revived:1 mod3:1 muffin:2 evans:1 ln:1 highlights:1 zachary:2 d33:8 exhibits:1 d31:11 better:1 previously:4 systems:3 nakayama:1 derivative:1 corso:1 easier:1 weber:1 maximal:1 non:6 rectification:2 motivated:1 ωln:6 material:1 yd:1 band:47 pearson:1 effects:1 they:1 bandstructures:3 dielectric:1 structural:21 susceptibility:38 february:1 finite:12 2p:1 2s:3 always:1 alford:1 b3:1 tera:1 tra:5 aversa:1 magnitude:5 intraband:1 arrow:1 each:3 entirely:1 energetically:6 ie3:1 bond:1 weimer:1 tot:8 another:1 generation:5 series:1 energy:1 reduce:1 principles:3 manifests:3 line:1 frequency:17 static:14 remove:1 sketched:3 quantum:7 wavelength:2 operation:3 transitions:5 eq:1 special:1 standard:1 shown:2 dominates:1 matrix:6 factors:3 gradient:3 electronic:2 furthermore:1 since:5 crucial:1 douglas:1 research:2 semiconductor:1 bruno:1 investigation:4 dominated:2 performs:2 formula:2 takeda:1 dominate:3 issue:1 occurs:1 burke:1 rlm:2 rln:4 theory:3 interactions:1 porto:1 spectrum:1 mechanisms:5 differ:1 liu:1 contrast:3 completely:1 christiansen:1 imaging:1 besides:1 nie:2 compositions:1 e3:3 definition:1 unique:1 interaction:2 organic:2 nankang:1 sinica:2 followings:1 transition:25 david:1 motion:4 length:2 relativistically:2 incorporated:2 dft:6 hence:2 isa:1 ionic:1 yue:1 exhibited:4 first:4 ding:1 major:1 note:1 stefania:1 symmetry:4 sipe:8 researches:1 number:1 gpa:2 channels:1 walter:1 utilized:1 xy:1 dominating:2 hertz:1 directly:1 scissors:1 open:1 causing:1 xu:1 given:4 perturbation:3 bracket:1 temperature:2 introduction:1 revealed:2 system:8 adopted:5 mal:1 fmn:1 their:1 fml:1 constants:1 calculations:13 typing:1 be2:1 ordered:1 scheme:6 structures:14 unpublished:1 iδ:1 implements:1 relationship:2 completed:1 karlheinz:1 boca:1 optical:6 pnm:1 ochl:3 simulate:2 manipulation:3 attempt:1 than:2 character:1 wide:2 rml:4 molecular:1 47a:1 nath:1 specimens:1 summary:1 zero:1 submitted:1 project:1 determined:7 modulators:1 emphasis:1 were:2 aspnes:1 merits:1 distinguished:1 hz:1 addressing:1 comput:1 gubler:1 anm:3 cohen:1 argument:2 renn:1 kresse:3 mater:1 nash:1 manipulating:2 elsevier:1 turner:1 occupied:1 any:1 viewed:3 indeed:1 melvin:1 boyd:1 hisashi:1 ωnm:1 efficient:1 studying:1 latter:3 able:1 mechanism:5 polarization:5 extracted:1 fitting:1 academia:2 take:1 forces:2 online:4 performance:1 singh:2 switching:1 accuracy:2 kleinman:4 ray:1 electric:2 established:1 vnn:2 simulated:7 satisfy:1 naturforsch:1 most:1 abc:6 printed:1 significant:2 formulism:1 phase:4 alpha:1 lithium:1 measured:3 why:1 inconsistency:6 cause:1 radioactive:1 especially:7 considered:1 neighboring:1 calculated:7 later:1 curvatures:1 feynman:2 part:5 principle:1 exp:22 velocity:1 abraham:1 physics:4 fact:5 quantity:1 incorporate:2 insulators:1 supported:1 radii:1 vmm:1 gauge:1 jepsen:1 threshold:1 subtle:1 fine:1 networks:1 curled:1 cell:3 based:1 knowledge:1 parameters:4 conduction:1 petrilli:1 explain:1 teyssier:2 elucidated:1 should:2 vasp:1 analytic:1 only:5 explicitly:1 black:3 screening:1 postulated:1 elucidates:1 adequate:1 local:8 clinically:1 achieve:1 equilibrium:3 his:1 legendre:1 dk:5 means:1 dependent:2 grey:1 between:2 kind:1 yielded:1 famous:1 remedy:1 ones:1 wannier:1 nearly:1 radiations:1 import:1 compute:1 distortion:2 dr:1 well:2 resolve:1 boost:1 seldom:1 arxiv:1 yield:2 method:9 crc:1 investigate:1 predicted:2 though:1 shg:38 fixed:1 inside:1 thanks:1 green:3 reveals:2 set:3 erroneous:1 reference:3 achieved:1 national:1 topics:1 maximum:1 relative:1 intensity:1 individual:2 sec:3 result:14 im:5 operated:3 recently:4 rmn:18 best:1 barn:2 roberts:1 ωlm:1 tensor:12 ways:2 nuclear:3 dipole:1 label:1 state:4 routing:1 closed:2 respectively:13 conceptual:1 fermi:2 neither:1 conditions:1 borsa:1 rupp:1 comparable:2 terms:3 nature:4 importance:3 weak:1 however:9 council:1 le:2 efg:4 fick:1 article:3 packages:1 valid:3 byer:2 topology:7 suggested:1 both:7 repeating:1 σl:1 fault:1 distinctively:2 density:3 according:12 attributed:1 agree:3 etc:2 figures:1 dated:1 similarities:1 designations:1 contribution:5 fnl:2 whole:2 experimental:22 load:1 among:2 author:1 characterization:1 color:4 seems:1 relaxation:2 harmonic:4 5p:1 pole:1 distorted:2 coordinates:1 respect:5 li:9 basing:4 telecommunications:1 smith:1 electrostatics:1 pp:1 pv:1 raise:2 addition:2 equations:1 due:6 been:2 hellmann:2 much:2 agreements:1 fluctuation:1 collected:2 furthmuller:1 yag:1 improve:2 anomaly:1 po:1 empty:1 harmonics:1 crystallogr:1 generating:1 onset:1 corresponding:1 kronig:1 bandstructure:19 chun:1 am:1 fl:1 bmn:1 new:2 gap:5 tential:1 external:6 spie:1 suspected:1 io3:2 general:2 spin:2 former:4 present:22 associated:12 hughes:2 laser:3 pacs:1 tang:1 estimations:1 experiment:4 value:6 reified:1 near:4 nakamura:1 error:1 property:2 pack:2 polymer:1 generate:1 annual:1 robert:3 almost:1 vi:2 fnm:6 conjugate:1 thus:14 them:1 iv:4 ii:5 good:1 meshes:1 mauri:1 vanish:1 technology:1 disappear:1 d14:3 d15:3 different:9 valence:3 fibers:1 rosso:1 acknowledgments:1 radiation:2 lett:12 same:9 stimulated:1 parts:1 widely:2 modification:7 paw:2 electro:4 yung:3 status:2 independent:5 used:3 optic:6 blue:3 effect:32 mesh:1 hand:4 action:1 moment:3 edges:1 conductors:1 appreciable:1 student:1 resonance:1 yuan:1 χabc:9 tune:1 simulates:2 breakdowns:1 framework:1 com:1 lambrecht:2 itself:2 nordstrom:1 analysis:7 cancellation:1 ωnl:1 scissor:1 solids:1 materials:7 components:17 consistency:4 position:1 model:2 redistribution:1 sensing:1 dimension:1 ferguson:1 spherical:1 lda:4 proposed:3 less:1 being:2 percent:2 accurate:1 hese:1 reflects:2 depict:2 financially:1 referring:1 atomic:5 ωm:2 taiwan:1 σnm:1 macroscopic:3 guides:1 alignment:1 previous:5 heuristic:1 loading:1 tin:2 field:3 absorption:2 point:4 had:1 except:1 5s:1 nojiri:1 signals:1 lattice:1 potential:2 treatment:1 theorem:1 dover:1 excited:1 momentum:3 generalized:2 real:2 acta:1 vii:2 romano:1 rnm:14 rnl:6 bands:2 svensson:1 disagreement:2 term:3 wilkins:1 judgement:1 deteriorates:1 makes:2 resolves:1 press:1 using:1 sampling:1 mod:6 necessary:1 semi:3 particle:1 follows:2 addressed:1 flapw:6 wien2k:1 yariv:1 schwarz:5 james:2 inter:28 reduced:1 suddenly:2 therein:3 pertaining:2 because:2 qed:1 deal:1 truncated:1 ignored:2 phenomena:4 deduced:2 trends:2 economic:1 moreover:2 little:1 peter:2 dispersions:3 matching:1 exists:1 nonzero:3 provided:1 vol:2 marques:1 broadband:1 cw:1 measurements:5 integration:2 samplings:1 vzz:7 efficiencies:1 dipoles:3 expressing:1 innovation:1 prof:1 proc:1 participation:1 refer:2 core:2 process:3 assembly:1 ba:1 power:1 bl:3 equivalent:1 agreement:2 expansion:4 cryst:1 pressure:10 voelk:1 polynomials:1 although:1 worthy:2 described:1 imaginary:5 2n:1 von:1 panel:1 comparison:3 about:5 works:3 commun:1 anomalous:3 dependence:1 o:17 simulation:3 ideology:1 range:1 choy:1 bloch:2 credible:1 cutoff:1 equally:1 rev:32 el:1 h2:1 within:4 functional:4 three:1 linearization:1 right:1 references:5 determine:1 sov:2 operator:1 tabulated:7 shrinking:1 methods:1 analytically:2 van:1 fields:1 refinements:6 question:1 long:2 dispersion:1 appl:9 handbook:2 low:3 way:1 ed:1 analyze:1 was:9 eg:7 function:3 form:2 energies:2 happen:1 differences:1 but:3 allan:2 anisotropic:2 illuminates:2 campillo:1 incorporation:1 atom:13 convergence:2 implies:1 technologies:3 abrahams:1 considerable:3 herzig:1 applying:1 baranov:1 consist:1 fulfilling:1 cells:1 anion:1 up:3 crystal:27 owing:1 limit:13 ωl:1 ωn:2 highlight:1 problem:3 pm:10 similar:1 average:1 strongly:1 eckardt:1 constant:1 computing:1 defined:8 diffraction:1 abstract:1 specified:1 influence:4 ωmn:14 twist:1 engineering:2 simulations:2 some:1 crystals:3 reflecting:1 formalism:5 intra:21 defines:1 ward:1 ulation:1 functions:2 ev:11 nm:6 no:1 when:2 detail:1 application:3 ghahramani:2 other:9 role:1 properties:2 normal:1 becomes:2 test:1 conclusion:1 polar:2 elements:1 hyperfine:2 regardless:1 gross:1 esu:3 variation:3 william:1 important:3 ground:1 curvature:1 suited:1 included:2 nuclei:2 structure:30 nikov:1 kramers:1 regime:4 starting:2 space:1 blaha:4 orbit:1 rule:2 equivalently:1 portion:6 weights:1 lying:1 time:2 4d:2 augmented:2 resolution:2 original:3 once:1 |
0704.2496.txt |@word monte:1 consider:3 ceases:1 magnetic:27 thouless:1 leads:1 tuba:1 lewenstein:1 edu:1 go:1 increase:4 tr:1 presents:1 finally:2 monotonically:1 present:1 under:6 far:1 wave:2 ankara:1 wishes:1 tridiagonal:1 difference:2 exact:1 condition:1 treating:1 hamiltonian:9 large:1 demonstrated:1 small:3 eigenvalues:3 dip:1 der:1 smaller:1 versatility:1 plaquette:3 direct:1 sign:1 second:2 enhancement:1 bilkent:2 qualitatively:1 carlo:1 linear:1 even:1 appear:1 stoof:1 2cos:2 selected:1 near:5 expressed:2 experiment:1 above:4 fractional:2 new:3 increasing:2 acknowledgments:1 condensed:1 full:1 monien:1 degree:1 exchange:1 trivedi:1 never:1 spacing:1 here:2 atoms:1 them:1 ansatz:3 mes:1 address:1 along:1 strong:2 change:2 deduced:1 obtained:5 study:3 studied:1 periodic:1 shaded:1 plotted:2 composed:1 useful:1 extra:3 apr:1 marked:1 replace:1 scaled:1 translational:4 total:4 derivatives:1 use:2 reflected:1 would:8 prove:1 fen:1 positive:3 definiteness:1 disregarding:1 call:1 mandel:1 survive:1 compactly:1 type:1 more:2 becomes:1 excellent:1 known:2 hold:1 states:11 keeping:1 ma:1 equation:4 work:3 mi:19 london:1 values:2 following:2 mott:16 root:1 nearest:2 figure:1 calculation:1 neglected:1 high:2 minimum:2 numbers:1 allowed:1 simple:1 provide:1 ultracold:2 chemical:4 how:1 ordinary:1 preferable:1 mueller:1 product:1 description:2 may:1 after:1 santos:1 diagram:2 explored:1 outline:1 effective:9 cornell:1 lines:1 so:2 order:7 hofstadter:6 expects:1 experiments:5 including:2 experimentally:1 argued:1 cold:1 avenue:1 before:1 perfect:2 regions:1 thank:1 chosen:1 lm:1 vicinity:1 boson:1 forms:1 parts:4 systems:2 insulator:10 symmetrization:1 non:1 affected:1 greater:2 greiner:1 fqh:7 introduce:1 landau:1 band:2 rotation:1 now:1 hall:3 2t:2 eigenvalue:4 february:1 bhat:1 always:2 university:1 sufficiently:1 each:1 2l:3 found:3 energetically:1 out:1 mean:8 square:1 krauth:1 energy:15 expect:2 quantum:5 our:3 eq:2 special:1 mat:1 shown:1 opened:1 shallow:1 since:2 rev:14 particles:13 rational:2 formula:1 schweikhard:1 supports:1 correct:2 excess:6 theory:4 interactions:1 carr:1 possibility:1 monotonic:2 nth:2 complicated:2 term:3 put:3 demler:1 pairs:1 interaction:5 created:1 transition:13 turn:1 plane:2 corrections:1 think:2 first:6 simplifies:1 features:1 symmetry:2 number:9 wash:1 done:1 another:1 electronic:1 given:3 periodicity:2 similarly:1 system:13 needed:1 nit:2 calculations:1 realization:1 variational:10 ohberg:1 gives:2 trapped:1 continuous:1 zeroth:1 part:2 favorable:3 authors:1 lobe:4 translation:2 than:2 coefficients:1 holland:1 accordance:1 favors:1 zero:1 annihilation:1 matter:1 determined:1 were:1 palmer:1 spectrum:4 demonstration:1 any:1 relatively:1 strength:6 harper:1 self:2 contact:1 potential:4 take:1 online:2 accuracy:1 butterfly:4 exactly:1 opposite:1 arguing:1 reach:1 letter:2 pair:2 extremely:1 consequences:1 calculated:2 drive:1 sf:3 optical:7 exp:1 parenthesis:1 ky:7 kx:6 physics:1 quantity:1 signatures:1 particularly:1 show:1 supported:2 rotating:4 gauge:2 baig:1 fine:1 find:3 laughlin:3 just:1 parameters:4 state:33 supercells:1 should:6 only:4 local:1 dominant:1 goes:1 means:1 dependent:3 overall:2 expectation:1 juzeliunas:1 lattices:1 prime:1 thus:3 commensurate:1 densities:3 fields:5 arxiv:1 gutzwiller:3 investigate:4 europhys:1 analytical:3 through:2 valid:1 set:1 unpublished:1 correlations:2 up:3 namely:1 individual:1 result:4 discussions:1 close:3 satisfies:1 phases:3 interacting:3 superfluid:3 review:1 definite:1 sites:3 boundaries:2 written:4 esslinger:1 between:6 invariant:1 boundary:20 approach:2 ruseckas:1 terms:8 creating:3 nature:1 ikx:2 analogues:1 however:6 incommensurate:1 reproduces:1 kotliar:1 bose:3 both:2 cos:3 last:1 many:2 region:2 density:7 equal:2 energies:1 dated:1 ramakrishnan:1 osterloh:1 argue:4 expression:3 rokhsar:1 experimental:1 otherwise:1 comment:1 detailed:1 uct:1 cm:7 point:2 color:2 character:1 eikx:1 dimensional:2 respect:1 turkey:1 destroyed:1 create:1 due:5 been:4 ansch:1 symmetrizing:1 expected:3 flexible:1 fig:9 direction:6 describe:1 general:1 sufficient:1 formed:1 argument:1 external:1 demand:1 2n0:3 those:1 case:2 pacs:1 solid:1 lobes:2 value:7 will:5 while:2 behavior:3 aij:1 taking:2 iq:3 binding:1 site:10 surface:1 itself:1 cond:1 straten:1 vanish:1 increased:1 different:1 hubbard:3 grant:2 coexisting:1 same:3 complex:3 schematic:1 avoids:1 dimensionless:2 higher:3 pandit:1 investigated:1 see:1 numerical:1 effect:1 insulating:2 edges:1 moving:1 invariance:3 tung:1 identity:1 recent:3 eigenvectors:1 sørensen:1 hopping:7 nevertheless:1 safely:1 disregards:1 well:1 without:1 greatest:1 coordinate:1 qi:1 model:4 λu:3 less:2 being:1 accurate:2 integer:1 zoller:2 field:27 thinking:1 tubitak:2 guaranteed:1 lattice:12 setting:2 lett:8 remaining:1 gave:1 real:2 around:2 possible:4 tunnelling:1 increases:3 supercell:3 using:2 advanced:1 rotate:1 appearing:1 particle:14 follows:1 freericks:1 flux:4 yields:1 become:1 decimal:1 creation:1 some:1 bν:1 affects:1 per:6 critical:4 steps:2 niemeyer:2 considering:1 ceperley:1 equivalent:1 wavefunctions:1 agreement:1 expansion:2 broken:1 although:1 oosten:1 properties:4 integers:1 about:2 central:1 traces:1 discussed:3 dependence:1 o:9 distinct:1 important:1 neighbor:2 introduced:2 bloch:2 block:1 previously:1 into:5 within:4 numerically:1 three:2 down:1 phase:8 promise:1 determine:2 operator:2 conceptually:1 bosonic:7 van:2 assumed:2 there:2 specifically:1 bosons:2 low:1 way:2 was:4 function:3 considerably:1 hx:1 elsewhere:1 form:3 enough:1 forming:1 regard:1 but:4 hh:1 atom:2 hc:2 partially:1 instructive:1 lukin:1 characteristic:1 variations:1 maximum:7 differentiable:1 below:1 limit:3 organize:1 fluctuations:3 problem:2 define:1 similar:3 display:1 strongly:2 constant:2 ai:2 certain:1 aj:2 denote:1 aq:12 separating:1 single:4 exist:2 reflecting:1 jaksch:2 regime:1 ni:2 tanatar:2 us:2 dotted:1 no:1 wavefunction:9 when:5 tight:1 other:2 papers:1 department:1 ns:3 conclusion:1 zhou:1 models:1 a2:1 allowing:1 structure:5 matrix:7 correlated:6 coupling:1 assume:1 required:2 holes:3 depth:1 write:1 krishnamurthy:1 gapped:2 n0:40 restored:1 |
0704.2497.txt |@word limited:1 consider:2 switched:1 magnetic:16 global:1 results:2 leads:17 overlap:1 edu:1 consists:2 research:1 whose:1 presents:1 finally:3 th:4 under:2 td:5 tb:1 henderson:1 supported:1 activation:1 wave:1 electron:3 experimentally:1 difference:1 matrices:1 hamiltonian:3 anisotropy:4 gimzewski:1 magnet:2 mm:1 vector:1 small:1 configurations:5 upper:1 sin4:4 sin2:4 direct:1 second:3 pozna:2 chem:1 blue:1 index:1 stands:1 nano:1 expressed:1 current:26 above:2 flowing:8 increasing:1 full:1 exchange:8 component:5 here:1 perpendicular:1 following:2 cos4:4 cos2:2 mes:1 address:1 represented:1 consideration:2 equations:1 change:2 obtained:1 great:1 institute:1 amount:1 symmetrical:1 plotted:1 golden:3 via:2 appelbaum:2 volt:1 support:1 total:2 linearly:1 conventional:1 charge:3 takes:4 probabilities:2 positive:4 kα:6 next:1 therefore:1 memory:1 theoretical:1 γm:4 becomes:2 iii:1 blocking:1 majority:2 tunnel:1 science:2 equation:2 work:2 modified:1 mv:2 values:2 temperatures:1 growing:1 fe8:1 performed:1 control:1 figure:3 process:4 states:5 indicates:1 anihilation:1 numbers:1 allowed:1 axis:11 needs:1 antiparallel:4 s1:1 η2m:4 how:2 parameter:3 sin:1 simplicity:2 description:3 may:2 applications:1 plane:1 parallel:6 constants:1 sz:6 effective:1 correspond:1 so:1 acknowledges:1 order:1 dσq:1 saturated:1 aη:1 vary:1 years:1 sz2:2 paper:1 through:13 solving:1 forms:1 absence:2 fig:6 decreased:1 main:2 non:1 junction:1 schematic:1 material:1 band:1 half:1 now:1 day:1 represents:1 february:1 fully:1 university:1 level:1 arrows:2 2b:2 found:1 characterized:2 ed:1 energy:4 operator:3 magnets:1 ev:7 eq:5 minority:2 large:2 shown:2 network:1 furthermore:3 since:1 rev:6 denotes:3 smm:25 formula:1 electronics:1 induced:3 ref:1 occurs:1 red:1 shows:1 barrier:5 free:1 approaches:2 term:6 e2:1 interaction:4 ministry:1 barnas:1 transition:1 place:3 barna:2 consequence:2 neglect:1 first:3 note:1 probability:1 number:2 xz:1 xx:1 wernsdorfer:1 mickiewicz:1 electronic:1 angular:1 given:2 perturbation:1 temperature:2 introduction:1 leading:1 interact:1 system:13 their:1 intermediate:1 master:1 calculations:1 rates:4 molecular:3 consistent:1 discussion:2 academy:1 reversed:2 sessoli:2 polarized:1 depends:1 collinear:6 determined:1 m2:1 unchanged:1 curves:1 electrochemical:1 seen:1 heersche:1 angew:1 relatively:1 angle:9 latter:2 metallic:2 polarization:4 sciences:1 potential:1 online:3 objective:2 switching:10 electric:1 normal:1 molecule:19 simplify:1 significant:1 acknowledgements:1 probable:1 kb:1 considered:1 average:4 electrons:9 kv:1 exp:1 dos:3 physics:2 fact:2 phenomenon:1 show:1 akα:4 ground:1 cell:1 parameters:3 only:3 candidates:1 factor:1 do:1 dominant:1 notation:1 tilting:3 uniaxial:1 ones:1 reversal:4 dv:2 dp:1 qq:1 processes:1 arxiv:1 maciej:1 investigate:3 dpm:1 fixed:1 remains:1 set:1 electrodes:5 undergoes:1 flip:2 relative:1 see:2 joachim:1 result:1 electrode:6 techniques:1 project:1 interacting:1 µr:1 µl:1 state:8 future:1 between:3 consecutive:1 hence:1 terms:2 nature:1 importance:1 attention:1 however:3 jr:2 jq:2 jl:2 jo:1 jk:1 configuration:3 both:3 last:1 equal:1 quantization:1 sensitive:1 mev:1 dated:1 exceeds:1 contribution:1 disappears:1 experimental:1 relevant:3 color:3 ǫkα:1 corresponds:2 respect:1 ferromagnet:1 described:1 due:3 been:5 int:1 describes:2 hardly:1 pl:1 pm:4 corresponding:2 external:1 spin:35 present:1 case:3 pacs:1 value:3 situation:3 tunneling:8 orientation:7 them:1 iv:1 ii:1 reads:1 bias:1 cond:4 increased:2 different:1 same:1 pauli:1 several:1 grows:1 higher:1 independent:2 used:2 numerical:2 flows:1 kim:2 potentials:1 lower:1 weakly:1 poland:2 well:4 model:2 left:3 moments:10 rotated:1 voltage:8 polish:1 speed:1 oriented:1 smms:2 density:1 had:1 except:1 hall:1 reasons:1 add:1 combine:1 lett:3 easy:7 momentum:1 resolved:1 around:1 possible:1 tunnelling:1 finding:1 know:1 using:1 amu:1 apart:1 arbitrary:3 become:1 spins:1 right:2 creation:1 some:1 transport:2 gradually:1 affects:2 per:2 does:1 use:1 gatteschi:1 2m:7 subtract:1 ferromagnetic:2 dependence:1 sake:1 range:1 introduced:1 consequently:1 equally:1 numerically:1 determine:1 elementary:2 theoretically:2 assumed:5 strictly:1 initial:2 dispersion:1 low:1 was:2 function:4 form:3 hr:1 funds:1 hq:1 denoting:2 ht:2 hl:1 longer:2 made:1 compute:1 mat:4 embedded:2 cells:1 up:1 devices:1 kk:2 below:1 fermi:4 aviram:1 calculated:5 strongly:1 dsz2:1 constant:2 defined:2 ak:5 describe:1 influence:5 denote:1 aq:4 ap:1 single:4 education:1 transitions:1 us:1 no:1 whereas:2 when:4 field:2 department:1 nq:3 conclusion:2 picture:1 draw:1 included:1 coupling:2 assume:3 rule:2 adam:1 time:2 nonmagnetic:3 timm:4 |
0704.2498.txt |@word represent:1 externally:1 homomorphism:6 consider:3 remarkable:1 secondly:1 crucial:2 bull:1 desirable:1 results:11 invent:1 eds:3 edp:1 proposition:12 computation:1 cowley:1 go:1 gn:2 denotes:4 reasoning:2 issues:1 compact:61 particles:1 certainly:2 inverse:3 depend:1 pointing:1 attracted:2 paris:1 concerned:2 equivalence:7 topologie:1 bragg:1 containing:3 simplify:1 finally:1 tm:7 γn:1 γm:21 under:2 tf:1 stochastic:1 analogous:1 include:1 norm:2 placed:1 case:6 belonging:1 random:1 straightforward:1 orthogonal:1 very:4 rise:1 springer:7 subject:1 denoted:9 corollary:6 balls:2 every:38 additional:1 anonymous:1 lecture:2 experimentally:1 difference:1 fakult:1 condition:6 tilings:2 obvious:2 subsets:4 immediately:1 presented:1 bn:129 suffices:6 notes:2 erratum:1 michael:1 nostrand:1 deals:4 discrete:7 vector:1 phase:1 small:1 eigenvalues:5 anal:1 shows:10 dν:1 equation:2 dis:3 zn:5 averaged:1 force:1 semicontinuous:1 periodicity:9 haar:1 dealing:4 mail:2 measurable:34 sign:2 sigmund:1 zero:3 dordrecht:1 remainder:1 rigorous:1 further:7 reine:1 linear:3 spectral:14 will:20 what:1 primer:1 sub:1 richard:1 incompatible:1 giving:1 section:19 uniform:3 birkhoff:7 aperiodic:12 axel:1 establishes:1 sup:7 new:7 increasing:2 method:2 exercise:1 satisfy:4 full:6 simultaneously:2 lee:3 respectively:2 component:2 equals:1 here:11 understanding:1 highly:1 desired:6 objects:1 groups:11 situation:2 directions:1 consideration:1 along:10 strong:4 annales:1 obtained:1 solid:5 remark:6 substance:1 incoming:1 crystal:1 po:1 technical:1 study:6 studied:1 allows:3 commonly:2 recently:1 periodic:5 products:6 poisson:1 pick:1 action:7 hospitality:1 suitable:3 makes:1 sci:1 uniquely:2 boundedness:1 baptiste:1 via:1 useful:2 projection:2 family:1 claim:2 substitution:2 f2:7 replace:1 følner:14 equivariant:2 summation:1 apply:2 total:4 univ:1 asi:1 unit:3 memoirs:1 tn:4 use:3 would:3 commun:1 remains:5 positive:7 contains:3 visit:1 countability:2 eσ:1 properties:3 ψj:1 process:1 therefore:3 taken:2 type:6 theoretical:1 today:1 more:13 introducing:1 th:4 substances:3 becomes:1 operators:2 simion:1 odinger:1 validity:1 elec:1 wonder:1 berlin:6 appendix:5 normalized:1 particular:16 known:3 multiset:1 iii:6 adequate:1 must:1 tnt:2 mg:2 valued:4 ρg:3 ρf:19 deformed:1 recall:1 setup:1 work:6 mi:2 χk:4 anywhere:1 values:1 mp:1 following:14 about:2 example:1 stimulating:1 proof:40 control:1 f1:7 compare:1 owes:1 give:1 calculation:3 introduces:1 referee:1 organized:1 pieces:1 states:1 assumptions:1 numbers:1 sense:1 standard:3 conversely:1 simple:1 hof:3 dh:4 provide:2 describes:1 holds:20 pedersen:1 feature:1 csc:1 write:1 maps:3 pure:38 beams:1 orientational:1 map:21 product:5 express:1 fu:1 algebra:18 may:6 max:3 earlier:2 treatments:1 amorphous:1 consequence:3 compacts:1 cambridge:2 ties:1 suck:1 compatibility:1 amenable:2 short:2 natural:6 dynamical:60 imply:1 whenever:4 lemmas:1 spectra:4 acknowledged:1 element:3 rather:3 complexity:2 delone:2 so:19 allow:2 enter:2 representation:23 integrand:1 order:20 restriction:4 baake:10 indeed:1 over:1 fλ:4 choose:4 years:3 stability:6 course:3 wiener:1 paper:2 banach:1 mentioned:1 equip:1 satisfies:2 poincar:1 its:8 dynam:4 before:2 sciences:1 group:23 manuscript:2 how:1 interesting:1 fix:2 conjugation:1 actually:2 better:1 degrees:1 systems:46 inconsistencies:1 tu:6 main:7 might:1 deformation:1 overcome:1 outside:1 non:4 material:1 introduce:1 framework:7 they:5 identically:1 oxford:2 now:14 discuss:6 bigger:1 above:3 easily:6 dirac:1 fϕ:57 university:3 lagarias:2 infer:7 realistic:1 universita:1 l2:33 fφ:9 each:15 fψ:14 address:2 2n:1 characterized:1 mean:1 subset:13 lifted:3 square:20 financial:2 formulate:1 series:4 revised:1 µb:1 used:1 challenges:1 ball:1 measure:97 denker:1 our:17 dawn:1 satisfied:1 es:1 er:5 category:6 large:3 shown:7 schlottmann:2 driving:1 space:20 restricted:3 furthermore:1 since:8 induces:4 research:1 rd:1 combinatorial:2 contained:5 daniel:13 weighted:1 hill:1 reader:1 gou:5 formula:3 get:1 induced:3 issue:1 ri:3 math:18 unifying:1 wiley:1 theory:32 associate:1 gazeau:1 hull:2 1s:1 possibility:1 quite:3 admits:2 homeomorphism:1 surely:3 york:3 besides:1 ask:1 span:1 estimate:3 monographs:3 v8w:1 care:1 definition:15 chose:1 geometry:3 nonnegative:7 turn:1 hence:15 crm:1 support:9 first:3 origin:1 intuition:3 already:2 probability:26 striking:1 relate:1 meet:1 number:2 approximate:1 restrict:1 instances:1 symmetry:1 done:3 another:1 representations:1 neighborhood:1 precisely:6 open:4 appl:1 occurrence:1 given:21 perturbation:6 embeddings:1 introduction:4 twenty:1 system:11 characterize:1 their:6 perturbations:5 statement:9 1k:3 recent:3 structures:2 gives:14 schemes:1 relationship:4 distribution:2 queff:1 continuous:54 proving:1 immediate:3 direct:5 putting:1 assumption:7 part:3 authors:3 focusing:1 schr:1 translation:5 than:4 wide:1 holland:2 showed:1 dγm:2 stn:1 finiteness:2 aims:1 dtd:1 project:2 matter:1 subsequence:8 pairwise:1 were:2 bauer:1 projections:1 exhibit:1 motivation:2 symmetries:1 generality:2 spectrum:32 generalization:2 say:2 angew:1 disjoint:1 seen:3 romania:1 obviously:1 border:1 any:16 relatively:2 affairs:1 generalizes:2 form:11 lim:18 latter:1 converges:3 note:8 instance:1 k1:2 lifts:1 generalized:1 interior:1 canonical:2 modulus:1 even:2 exactly:1 multiple:1 fundamental:1 axiomatic:1 measures:19 victoria:2 most:2 said:4 thank:3 formulae:1 interference:1 grateful:1 intrinsic:1 model:5 αt:32 consequences:1 considered:4 kj:9 clear:2 later:1 cover:1 ckj:1 countable:11 points:4 aussler:1 subgroup:6 salt:1 sum:2 fact:4 precise:2 furstenberg:1 intensity:1 show:17 supported:26 scattered:1 chapters:1 converge:1 discovered:1 spaces:3 careful:1 find:4 based:3 situations:2 combs:1 written:1 topological:10 should:4 lemma:36 only:6 going:1 pairing:1 equipped:5 integrable:19 circle:1 local:3 continuity:7 abelian:8 shechtman:1 his:1 dj:3 ρcf:3 notation:2 means:1 ϕt:1 simplest:1 overall:2 convolution:1 beam:1 remedy:1 ϕn:1 altogether:1 dv:9 carries:2 dt:28 reprint:1 ds:4 closure:5 processes:3 exhibiting:1 bar:1 settings:1 fields:2 arxiv:1 yield:1 consisting:2 supp:13 discr:1 experiments:1 cr:1 krengel:1 implication:4 fixed:6 view:3 cahn:1 rudin:2 set:43 schreiber:1 exists:28 unions:1 problem:1 argued:1 see:16 arc:1 radius:1 result:23 existence:1 discussions:1 close:2 dµ:4 composed:1 nissen:1 notions:1 ergodicity:2 satisfying:4 potential:1 eigenfunctions:3 visiting:1 ways:1 distinctive:1 definite:5 functionals:2 materials:1 symmetric:1 state:2 various:7 closed:6 between:8 conceptual:2 invariant:25 boundary:3 reading:1 approach:5 discovery:2 restricting:1 terms:3 extend:1 nature:2 attention:3 weak:2 however:4 gratefully:1 vanishing:1 comm:1 institute:2 key:2 analyzed:1 article:3 atoms:1 come:3 relying:1 topology:20 both:2 informatik:1 last:2 σm:1 etu:3 subrepresentation:1 taking:2 density:1 according:1 nserc:1 connection:1 manifestations:1 und:1 context:4 uni:1 argue:1 comes:2 otherwise:1 ck:7 cj:4 dm:15 relevant:2 co:1 cn:12 point:60 cc:72 character:1 ca:1 inc:1 cg:2 harmonic:3 2nd:1 assertions:3 aperiodicity:1 governed:1 moreover:8 crystalline:1 ct:2 unusual:1 described:2 second:6 basis:4 union:2 locally:12 three:1 been:6 belongs:14 combined:2 interest:5 basic:2 ph:3 suggestions:1 ak:3 mcgraw:1 define:9 box:1 ergodic:23 aj:2 corresponding:6 finishes:1 commutes:1 concerning:1 propositions:1 subspace:7 ray:1 argument:2 diagonalization:1 finished:1 observe:1 solomyak:5 improved:1 weierstrass:2 spirit:1 present:2 applied:2 grains:1 developing:1 contexts:1 leave:2 aim:2 euclidean:3 while:4 dense:12 ongoing:1 evaluating:1 many:1 irrespective:1 guide:1 procedure:2 inherits:1 unitary:21 les:1 robert:1 almost:21 averaging:3 metric:3 thus:18 iv:3 ii:13 need:5 regularity:1 dual:4 weakest:1 supremum:1 vanish:2 around:1 loomis:1 different:3 develop:2 anymore:1 acknowledgments:1 belong:3 lett:2 same:2 proceeds:2 princeton:3 shifts:1 ulis:1 complex:4 emphasize:2 fakulta:1 survey:2 φj:6 finite:8 composition:1 independent:1 extended:2 peaks:1 schiller:1 ni:1 nj:1 hand:2 usually:1 uses:1 invariance:1 von:2 identity:1 built:2 fourier:13 shortly:3 recurrence:1 edition:1 studies:2 gratias:1 modeled:4 well:26 analysis:10 bohr:1 patterns:1 de:5 without:1 monograph:1 lindenstrauss:2 sets:20 jean:1 chemistry:1 arising:1 self:1 usual:3 unified:1 just:1 being:1 3p4:1 obtain:8 rest:1 press:3 underlying:1 positions:1 facts:1 comput:2 metallic:1 ergod:4 yet:2 previous:6 cut:2 kluwer:1 field:1 characterization:2 seems:2 reasons:1 lets:1 other:5 nato:1 treatment:2 nicolae:13 theorem:27 constant:2 bnb:1 janot:1 moody:11 walter:1 real:1 eigenfunction:1 rev:2 eigenvalue:1 showing:1 possible:3 gruyter:3 cf:4 five:1 lca:2 average:1 using:2 ams:4 unique:1 vague:5 prominent:1 loss:1 necessary:1 like:3 δx:2 follows:21 δt:2 canad:1 δn:5 yields:2 either:2 arbitrary:10 limn:4 works:1 disorder:4 arbitrarily:1 acad:1 mathematical:12 sketch:1 because:1 methods:1 namely:3 sequence:29 do:1 sequences:2 some:15 stat:2 geom:2 tempered:5 understood:1 palm:2 choosing:1 respect:3 chemnitz:1 senechal:1 provided:3 vol:5 proceeding:1 denseness:1 lead:2 size:1 integration:2 overlap:1 prop:1 providence:3 does:4 steps:1 viz:1 freed:1 slight:1 equivalent:8 l1:7 pp:8 bk:7 cλ:3 uvic:1 step:10 convex:3 bs:1 hilbert:5 injective:1 meyer:3 chapter:3 patera:1 stone:3 pointwise:2 actual:1 quasicrystals:11 freedom:1 theorems:2 discussed:10 generated:8 o:6 range:9 regular:1 reads:1 germany:1 illuminating:1 introduced:3 bulletin:1 book:2 converging:1 considerations:6 own:1 into:3 integral:1 functional:1 negative:3 accommodate:1 remarks:1 appropriate:1 right:3 references:1 jena:3 amsterdam:2 next:7 neumann:1 dfg:1 statistics:1 van:8 deal:1 inductive:1 combinatorics:1 assumed:2 strictly:1 there:36 question:5 transform:10 long:4 ordered:1 start:3 borel:8 inner:2 way:4 ed:4 gil:1 was:4 opens:1 naturally:1 function:12 north:2 triggered:1 enough:1 differences:2 jun:1 but:1 volume:1 berg:1 construction:1 link:1 larger:1 implies:2 line:2 true:1 made:1 whether:2 characteristic:2 smooth:1 up:5 us:7 ur:1 international:1 b1n:1 below:1 ωj:4 limit:6 syst:4 ωn:4 autocorrelation:13 ρm:4 ug:3 uf:3 similar:2 called:14 regimes:1 strongly:16 associated:9 defined:9 certain:3 abstract:9 describe:1 doesn:1 general:5 diverse:1 exist:3 ingredients:1 formulation:1 dynamics:1 kl:14 approximated:1 physical:2 again:5 functions:26 completeness:1 integrability:1 no:3 amounts:1 mathematik:2 hpp:23 when:4 invoking:1 application:3 setting:10 details:4 hove:5 mathematics:9 bucharest:1 out:2 1bn:4 canada:1 briefly:1 elements:4 denote:6 completes:2 separate:1 models:3 preceding:3 printing:1 uniformly:8 variation:1 much:1 n0:4 meaning:3 bounded:13 variable:2 lenz:20 ago:1 algebraic:1 tchebycheff:1 3rd:1 stoilow:1 dω:5 assume:3 physics:3 diffraction:46 together:1 notion:1 4m:2 volumes:1 institut:1 far:1 n1:6 starting:1 original:1 once:3 |
0704.2499.txt |@word ybco:2 gr:6 ginzburg:3 concept:1 liao:1 consider:2 paris:1 c7:4 tp:11 te:4 tc:15 conjecture:1 confirmation:1 attribution:1 very:1 account:4 putting:2 experimentally:1 condition:1 presented:1 small:2 unexpected:1 direct:1 noise:1 further:1 estimated:2 canonical:1 spectral:1 established:1 what:1 appear:4 expressed:2 current:1 above:4 new:3 temperatures:2 condensed:4 christian:1 neves:1 beck:13 mev:1 excess:5 active:2 equations:3 appears:2 superconductor:9 remark:1 allows:1 through:4 amount:1 stressed:1 domains:1 astrophy:1 matos:11 useful:1 scales:4 planck:13 readily:1 conventional:1 takes:1 would:1 suppl:1 france:1 comparing:1 sitter:1 call:1 m3:1 m2:1 taken:1 type:3 theoretical:3 conclusions:1 mashhoon:1 effort:1 must:1 me:2 mg:1 rotational:1 ρe:2 mm:1 decouples:1 inertial:1 work:2 worth:1 niobium:4 ρp:4 remain:1 values:2 thin:1 concepts:1 following:2 arxive:2 spontaneous:2 gravitationally:3 dedicated:1 indicated:2 relativistic:1 table:3 high:4 νc:7 arise:1 junctions:1 respective:1 end:1 turn:1 clarke:1 breaking:2 length:2 fourth:1 instead:1 ordinary:1 mat:1 undergoing:1 corrections:1 deviates:1 coming:1 constants:4 attempt:2 effective:1 λ2g:1 sn:1 fundamental:4 01t:2 order:3 typical:2 unsolved:1 holds:1 interpretation:1 interpreted:1 experiments:1 london:9 innovative:1 austrian:1 its:4 before:1 le:2 thank:1 ln:2 interesting:1 masses:1 solving:1 resistively:1 mail:1 defining:2 versus:2 non:4 affected:1 material:2 proca:1 landau:3 framework:1 graviton:5 effects:1 they:5 now:1 mystery:2 february:1 found:1 side:1 mean:1 domain:2 square:1 significantly:1 formulate:1 ee:2 energy:42 journ:1 mm3:1 frequency:8 measurement:3 quantum:5 wavelength:1 ev:1 ep:6 supersolids:2 shown:1 space:1 since:1 rev:3 investigate:1 research:1 increase:1 contained:2 investigation:1 conjectured:4 shows:1 theory:1 mp:4 contain:1 coriolis:1 3kt:1 pairs:7 interaction:1 derivation:1 recovering:1 could:2 transition:2 shunted:1 motion:1 tate:5 conducted:1 place:1 massive:3 measurability:1 consequence:2 exhibited:1 first:1 origin:1 spergel:1 pgc:1 number:1 done:1 directly:1 ring:2 open:1 angular:3 given:3 temperature:11 introduction:1 πh:1 equ:16 anderson:2 their:1 intermediate:1 speaking:1 exactly:2 accurately:1 measurable:1 assumption:1 natural:3 detection:1 ktp:1 matter:4 mackey:9 anomalous:3 ktc:1 hz:2 rad:1 measure:1 correspond:2 acceleration:1 agency:1 gravity:3 note:2 k1:2 forces:1 equaling:1 subject:1 hgc:3 formulas:1 condensate:1 mario:1 involving:4 preliminary:1 pair:3 acknowledgements:1 measured:2 class:2 kg:4 considered:1 clear:1 adopt:1 physica:3 principle:2 kt:1 velocity:3 physics:8 laws:3 text:1 probe:1 ending:1 rotating:7 relation:2 substituting:2 find:3 based:2 just:1 explain:2 state:1 should:2 only:2 explicitly:1 local:1 oct:1 inferior:1 do:2 get:1 dependent:1 de:12 c2h:2 densities:1 fields:3 arxiv:1 grav:2 qc:6 underlying:1 activity:1 release:1 including:1 inside:1 view:1 set:1 ser:1 hν:5 unexpectedly:1 arc:1 close:1 cabrera:5 phases:2 gravitation:3 gravitomagnetic:12 currently:1 rings:1 written:1 between:6 geometric:1 approach:1 available:1 terms:1 creating:1 nature:1 ln4:2 however:1 bscco:1 vanishing:1 hypothesis:2 inertia:3 both:2 reported:2 compton:1 equal:2 constructed:1 quantization:1 l73:1 contribution:1 experimental:7 relevant:3 afterwards:1 point:2 cc:4 others:1 cg:1 corresponds:3 concluding:1 constant:2 ucl:1 cavities:4 been:1 pb:1 defined:2 interest:1 ph:3 anomaly:1 define:1 25k:1 describe:1 lp:6 cosmological:9 received:1 quantities:1 covariance:2 understand:2 c3:2 c2:2 evidence:1 spin:1 present:3 c4:2 josephson:1 developing:1 value:3 will:4 novello:3 characterizing:2 correspondence:1 aluminium:1 thus:2 couples:1 superconducting:4 cond:1 contradiction:1 conf:1 different:11 author:3 same:1 another:1 quant:1 arguments:1 finite:1 european:1 numerical:1 moment:9 moving:1 koch:1 well:1 materials:8 solve:1 centres:1 model:8 usual:1 proposed:4 being:2 superconductors:24 obtain:1 rest:1 reviewed:1 inactive:1 λg:2 transforms:1 questions:1 density:18 photons:5 seems:1 recommended:1 simple:1 millenium:1 lett:5 theorem:2 mod:4 momentum:1 around:1 showing:1 possible:2 dark:26 five:1 background:1 vacuum:10 using:2 8πg:2 formal:1 like:2 particle:1 harlingen:1 steps:1 because:1 often:1 classical:8 phenomena:2 intern:1 convey:1 respect:1 scale:12 cooper:10 lead:1 electromagnetic:8 measurements:1 critical:8 esa:2 assuming:2 prof:2 propagating:1 refer:1 bg:5 power:1 equivalent:1 rue:1 paper:2 host:3 padmanabhan:1 properties:2 rearranging:1 constraint:1 universe:1 discussed:1 nonvanishing:1 deserves:1 larmor:2 cutoff:7 cambridge:1 h2:1 maxwell:1 into:6 bath:1 phase:2 references:1 determine:1 einstein:12 proportional:1 ρvac:3 van:1 additional:1 extremely:1 strictly:1 initial:3 start:1 accordingly:1 noting:1 low:3 way:1 notices:1 was:1 function:1 complete:1 form:1 some:1 hq:1 but:1 astro:3 link:2 related:1 he4:1 characteristic:1 gravitational:3 us:1 limit:1 fluctuations:2 problem:4 called:1 mechanics:1 associated:1 int:3 abstract:1 contribute:2 deep:1 general:2 examine:1 exist:1 our:2 regime:6 nb:1 virtual:3 field:3 other:2 test:1 deviate:1 conclusion:1 briefly:1 models:1 important:1 superconductive:12 l67:1 bco:2 coupling:6 assume:1 together:1 mass:12 time:2 starting:1 bcs:1 |
0704.2500.txt |@word sci:1 consider:6 remarkable:1 aggregating:4 global:4 results:18 abramovich:2 leads:3 mild:1 edu:1 n31:1 donoho:1 row:5 compact:1 whose:2 hold:3 depend:6 combinatorial:1 deterministic:1 properly:1 topic:1 present:2 under:4 stochastic:2 td:1 presentation:1 worth:1 norm:11 inform:1 applied:3 probe:20 risk:32 orthogonal:1 account:1 focus:2 replication:1 corollary:10 minλ:1 worst:2 anonymous:1 mixing:2 difference:1 exact:3 rn:9 vast:1 subsets:1 bernoulli:1 level:6 transmission:1 turns:1 notes:3 list:1 t1:1 large:7 vector:18 min:21 small:3 il:1 upper:1 averaged:3 estimates:7 measurable:2 sign:4 approximation:2 second:10 displays:2 7th:1 further:4 estimated:3 machines:1 linear:11 even:1 established:1 errors:1 plays:1 sub:2 advantageous:3 complexities:1 juditsky:6 section:18 selected:6 current:1 annals:2 above:3 sup:4 new:2 net:3 method:3 birg:2 respectively:1 error:2 component:1 q3:7 here:12 inverse:1 mes:2 same:5 devroye:13 november:1 quite:3 table:5 logarithmic:1 knowledge:5 obtained:1 remark:6 wegkamp:9 institute:2 maximum:1 study:3 vectors:12 allows:4 reports:1 suggests:1 saint:2 resulting:2 published:1 specialize:1 makes:1 bayes:1 formulated:3 useful:1 projection:8 classification:2 straw:1 ψgt:1 penalized:1 apply:4 62g20:1 establish:2 ord:3 select:4 presents:1 use:5 µn:1 would:1 prove:1 distinct:1 likelihood:1 contains:3 finally:1 62g05:1 scenarios:3 almost:2 noting:1 therefore:4 associated:6 stage:2 selects:8 ψg:15 possible:7 more:3 israel:1 ecole:1 suggestions:1 acceptable:1 factor:5 corrected:1 berlin:2 controlling:1 particular:5 known:4 cases:5 cardinality:2 iii:1 potential:1 me:1 sample:4 pagination:1 setup:7 work:1 mi:1 modified:6 rε:4 remain:1 values:3 publications:1 ms:5 following:14 strategies:1 specialized:2 example:8 proof:26 control:1 f1:1 indicated:1 stated:1 process:3 thresholding:8 organized:1 purposes:2 involve:1 indicates:1 assumptions:1 fulfillment:1 want:2 sense:9 yε:13 absolute:4 patterns:1 goal:2 rather:3 νi:7 discussion:2 holds:7 feature:1 recovers:1 lepski:5 how:2 opposite:2 significance:1 optimal:5 ψij:18 guarantee:2 parameter:4 ψin:55 product:1 mar:1 kneip:2 may:1 max:70 derived:3 collection:10 straightforwardly:1 hence:4 inst:2 fi:102 fj:17 choice:3 types:1 efficiently:2 natural:1 imply:1 whenever:2 lines:2 correspond:1 parameterized:2 st:1 provide:2 si:3 cannot:2 so:3 correlation:1 every:3 increase:1 order:9 typical:2 goldenshluger:17 words:1 fθ:26 developed:1 over:7 fλ:13 fν:5 nonparametric:9 course:1 wiener:1 paper:7 through:1 elevated:1 statistical:1 differs:1 satisfies:1 y2:3 its:5 before:3 write:5 derive:2 thank:1 located:2 chosen:6 picard:1 better:3 estimating:6 fig:2 lp:16 annual:2 benjamini:1 mail:1 alexander:1 fin:11 variables:1 outperform:1 them:2 good:34 greater:2 than:7 propose:3 outlined:3 introduce:1 functional:7 framework:2 motivates:1 oracles:1 they:2 eµ:4 now:4 discuss:3 structural:1 easily:6 term:9 finite:5 2p:5 2q:1 always:2 university:2 leading:1 inequality:22 l2:16 reasonable:2 l1:5 found:2 2h:9 side:5 mean:9 subset:1 square:1 significantly:3 series:1 revised:1 reduce:1 gaussian:8 related:4 used:4 measure:4 our:20 approximated:1 event:2 special:1 out:5 rp:10 matrix:4 decision:1 restricted:1 since:3 crucial:1 denotes:2 rd:3 attracted:2 nauk:1 izv:1 lecture:3 adaptive:5 induced:4 issue:1 math:3 shows:6 theory:5 divergence:2 hl2:2 standard:5 completely:1 rows:2 york:1 members:1 estimate:6 hand:11 remainder:15 universally:1 card:3 definition:13 perform:3 r2:1 selections:2 via:4 phrases:1 could:1 similarly:4 times:1 turn:1 specification:1 consequence:2 probab:3 view:1 isf:1 first:15 losses:1 equivalently:1 probability:4 succeeds:1 omitted:2 possessing:1 primary:1 ℓu:1 16th:1 ℓi:2 smaller:2 least:1 sssr:1 impossible:1 smoothing:2 electronic:1 ℓf:5 illustrate:2 given:20 necessarily:1 their:2 introduction:1 unknown:6 n15:1 construct:1 indicate:4 assumption:1 rates:3 observations:1 statement:1 white:8 scheme:8 exponents:1 too:1 way:1 ratio:1 relative:1 akad:1 immediate:1 part:5 extensions:1 norms:3 number:9 classifiers:1 coefficients:5 wide:2 sections:1 require:3 measured:1 zero:3 classes:2 pairwise:2 risks:7 fˆ:24 were:4 rate:1 aκ:18 johnstone:5 mini:6 false:1 boston:1 unchanged:1 locations:1 summing:1 randomly:3 say:7 conjugate:1 need:2 seen:2 any:11 viewed:1 paths:1 built:1 εz:6 efficient:1 εw:2 ideas:1 note:21 instance:2 gτ:2 take:2 objective:4 performance:8 coincide:2 tekhn:1 accuracy:4 lectures:1 begin:3 differences:4 normal:15 measures:5 gλ:6 systems:1 gθ:15 mimics:1 most:1 regular:1 assoc:1 but:1 significant:1 remarks:1 bsf:1 intrinsic:1 class:1 stands:2 workshop:1 doi:1 haifa:4 observation:7 considered:3 parametric:1 average:9 coincides:1 spokoiny:2 replications:10 proceedings:1 yang:5 ckp:1 exp:1 pattern:1 maxima:1 typically:1 notion:1 fact:3 precise:1 smoothers:1 selection:19 particularly:1 show:7 supported:1 2q3:1 artificial:1 threshold:1 determined:1 d0:11 q1:8 catoni:2 q2:2 based:5 q4:6 implementation:1 specified:1 should:3 lemma:5 only:5 experiment:1 indeed:2 local:1 colt:1 inferior:1 insight:1 triangle:1 establishes:3 notation:1 means:7 µj:8 expectation:2 2q1:1 cavalier:2 nearly:1 closely:4 ˆi:21 dt:27 reprint:2 procedures:4 vation:1 rademacher:1 secondary:1 adapts:1 flour:2 conditions:7 arxiv:1 acknowledgments:1 investigate:1 experiments:2 common:1 though:1 controlled:1 fixed:7 ψji:1 nε:2 nη:3 kernel:6 requirement:2 set:34 bunea:3 exists:5 achieved:1 intelligence:1 testing:1 topics:1 ψµi:2 achieves:2 y1:5 see:12 result:4 arg:13 discussions:1 close:6 observed:1 alternative:1 best:17 subject:2 appear:1 satisfying:2 inequalities:16 nemirovski:8 distinctive:1 functionals:5 fano:1 enough:1 smallest:1 µi:18 between:4 progress:1 approach:3 discovery:1 available:2 terms:9 majority:1 attention:2 combining:2 however:6 rigollet:2 equals:2 ranked:1 representer:3 key:2 article:1 amer:1 come:1 improve:2 suggested:1 received:1 essentially:1 cubes:1 improved:3 lebesgue:1 many:3 pertain:1 conclusions:1 equal:3 display:1 fulfilled:2 etc:1 connection:1 figures:6 poincar:2 context:4 ete:1 variance:1 needles:1 estimation:14 adapted:1 presumably:1 premise:1 simple:2 corresponds:2 dimensional:1 adaptation:2 learning:4 consideration:1 polynomial:1 respect:17 throughout:1 along:2 kp:4 conference:1 basis:3 maxi:3 three:1 been:1 much:3 pf:2 treat:1 goes:2 basic:1 pj:3 figure:4 ph:1 prototype:1 ann:16 define:16 adapting:1 referee:1 families:5 both:3 quantities:1 sufficient:1 6l:1 covariance:1 representative:1 last:4 denote:4 spirit:2 those:2 statist:18 case:9 explicitly:1 main:6 classifications:1 reciprocal:1 comput:1 empirical:7 value:4 will:5 subsample:1 while:3 optimization:1 suppose:3 behavior:4 applies:2 situation:3 cq1:1 property:1 margin:1 taking:1 procedure:39 versus:4 seven:1 studied:1 played:1 vol:2 averaging:1 thus:4 non:1 discrepancy:1 according:3 ii:17 middle:5 ij:1 experience:2 fn:1 regression:10 different:8 verified:1 grant:2 generic:1 suggest:2 granted:1 belong:1 leibler:2 who:1 clearly:1 simultaneous:1 universality:1 modification:2 several:1 difficult:2 independent:2 literature:6 http:1 closest:1 trivially:1 sequel:1 numerical:8 typographic:1 uses:1 auser:1 aggregate:1 frequently:2 nonasymptotic:1 identity:2 recent:1 prescribed:1 lower:6 suffices:1 scenario:8 mention:1 random:6 no:2 well:7 concrete:1 de:2 without:1 components:3 sets:10 position:1 model:18 soviet:1 latter:1 left:5 reconstruction:1 koltchinskii:2 proposed:5 less:1 being:1 resp:1 obtain:3 rest:1 golubev:3 shape:1 underlying:1 immediately:1 λi:12 semimetric:1 family:20 candidate:2 density:7 guaranteed:1 except:1 possibly:1 belongs:1 collections:2 samples:2 theorem:38 heidelberg:1 identical:3 replaced:2 showing:1 aggregation:82 cf:2 competing:1 indexed:2 know:1 silverman:2 using:5 ams:1 moreover:3 generated:1 loss:2 imposed:1 like:1 follows:17 reduces:1 audibert:2 specific:4 sparsity:4 mirror:1 yields:1 either:1 sparse:5 arbitrary:11 setups:2 pointwise:1 prior:3 obser:1 mathematical:2 www:1 because:9 methods:2 kth:1 sequence:1 sequences:1 some:7 springer:4 complexity:3 examples:2 choosing:1 convex:8 proofs:4 nonzero:7 shapes:1 recently:2 lead:1 demonstrates:2 minimax:4 unavoidable:1 comments:1 contrast:2 does:9 provides:2 fτ:4 tsybakov:12 minimal:3 refer:2 rank:2 noise:17 2q2:1 integrals:1 minimization:1 slight:1 uniformly:1 each:3 bi:3 lugosi:11 step:2 simplex:1 although:2 2m:2 drawn:1 birkh:1 properties:2 panel:5 gained:1 comparison:4 carried:1 column:13 discussed:3 dependence:2 o:4 simulation:2 practical:2 probabilities:1 estimator:45 ensure:1 ti:1 introduced:1 therein:1 equally:1 into:2 within:3 splitting:1 bound:11 pair:1 appropriate:2 right:12 references:4 estimators:82 next:5 prompted:1 statistics:7 additional:1 fields:1 canad:1 assumed:2 there:11 question:1 specifically:3 sides:1 ordered:1 start:1 accordingly:1 ψi:36 inner:1 fˆi:7 gin:4 was:2 function:8 ef:4 complete:3 form:2 regard:2 extended:1 idea:3 illuminates:1 construction:9 detect:1 russian:1 subtracted:1 usefulness:1 october:1 applying:1 stanford:1 whether:1 smooth:1 up:1 ranks:1 below:3 ui:3 diagrams:3 demonstrate:3 problem:13 similar:3 agree:1 distance:3 detailed:1 ac:1 constant:5 ln:23 defined:18 certain:3 universal:5 uij:3 condition:1 general:9 single:2 exist:1 corresponding:8 inf:2 explains:1 constructed:2 functions:22 compared:2 nn:1 variety:2 index:5 whereas:2 when:8 detail:2 disjoint:2 other:11 role:2 details:1 papers:1 department:1 pi:8 kullback:2 ordi:1 stat:2 completes:1 models:7 translated:1 preceding:2 problems:4 miscellaneous:1 includes:1 meaning:1 important:3 variable:2 aggregated:8 implies:2 calls:1 assume:9 factors:1 rule:15 n5:1 n9:1 time:1 oracle:31 n1:4 n2:4 n3:2 requires:3 original:4 n7:1 |
0704.2501.txt |@word magnetic:9 four:8 entropy:1 consists:2 localized:11 presents:1 nominal:1 under:2 summarizes:1 connects:1 every:1 summarized:1 experimentally:4 solver:7 cause:1 fazekas:5 vector:2 announced:1 indices:2 shows:2 degeneracy:3 force:1 direct:3 approximation:2 likely:4 chem:3 even:5 interatomic:3 comparision:1 above:9 new:4 increasing:2 interchain:3 equals:1 here:8 atoms:1 reported:1 mev:4 interpret:1 contraction:1 obtained:3 apical:3 study:8 changed:1 approaches:1 hundley:1 projection:1 classification:1 slices:2 katsnelson:2 modulated:1 total:5 unit:2 dmft:22 would:4 negative:1 giamarchi:1 occupying:1 asser:1 therefore:1 whangbo:2 separated:2 brings:1 hold:1 equilateral:1 room:3 mb:1 mm:2 work:2 koda:1 temperatures:5 cond:4 renormalization:2 indicated:1 crystallizes:1 indicates:1 degenerate:1 end:1 provide:1 how:3 description:5 after:2 mesh:1 meaningful:2 types:2 effective:7 complexity:2 green:3 decreasing:2 order:9 operations:1 inami:1 over:1 expects:3 exhibits:2 complex:3 fig:29 overcome:2 versus:1 them:1 combination:1 band:26 effects:10 they:3 structural:5 reasonably:1 filling:11 reasonable:3 alek:1 side:1 mean:2 lifted:1 financial:1 substantially:1 rt:3 rw:2 network:1 driving:2 restricted:1 crucial:1 re:4 turning:1 linear:3 mσ:4 little:1 free:2 standard:1 formation:1 days:1 onto:1 biroli:1 already:4 features:1 render:1 coding:2 fujimori:1 electronic:20 cartesian:1 top:3 approximately:1 needed:1 compromise:1 too:1 centered:1 serve:1 somewhat:1 distance:7 hopping:7 second:1 matter:3 classes:1 tion:1 iωn:7 solely:1 displays:4 mind:1 manner:2 seen:9 relatively:1 strength:1 latter:9 responsible:2 isolated:2 metallic:17 dispersionless:1 forces:1 completed:1 blue:3 shall:2 extending:2 involving:1 germany:1 phase:24 observation:3 calculated:1 metal:6 dos:14 sum:1 participate:1 subtle:2 figueroa:1 finally:1 just:3 spite:1 itinerant:4 explain:1 folded:2 do:4 dc:1 pocket:1 despite:1 dt:1 acknowledgments:1 bariˇsi:1 twice:1 bad:2 reference:3 observes:1 σv1:1 zones:1 result:5 discussions:1 best:1 away:3 propagates:1 approach:10 wf:4 terms:4 nature:4 weak:1 however:18 residual:1 extent:2 essentially:2 yoshihara:1 stuttgart:1 distinction:1 adapted:1 highenergy:1 decoupling:1 basis:18 union:1 three:6 been:3 belongs:1 interest:1 basic:2 expected:6 deeper:1 quantities:1 concerning:4 stoichiometric:1 worked:1 maximally:2 spin:12 applied:1 orthorhombic:19 transformation:2 wfs:5 pouget:4 balance:2 iv:3 ii:3 im:15 ahnle:1 perform:1 make:1 drawback:1 split:1 several:2 european:1 peaks:1 hand:1 insulating:18 kept:1 whereby:1 scenario:1 changes:6 materials:2 quantitative:1 mlwfs:1 left:4 proposed:2 bandwidth:1 transforms:2 scattering:1 yet:4 electronically:1 adding:1 poses:2 elaborated:1 character:9 fortran:1 spread:5 ikeda:1 els:1 5c:1 bands:13 breaks:1 possible:2 unique:1 specific:3 polytechnique:2 valence:1 interestingly:1 right:4 somehow:2 cdmft:8 bottom:2 gapless:1 yields:1 shifting:1 lobanov:2 meyer:1 limitation:1 dˆ:1 anomalous:1 o:12 korotin:1 slightly:2 functions:8 soc:4 statements:1 presence:1 down:1 rendering:1 balanced:1 orsay:1 wan:1 support:1 way:3 was:30 lowest:2 therefrom:1 form:8 forming:4 differences:1 mandrus:1 failure:2 cedex:1 forr:5 true:4 maximum:1 crystal:17 fermi:11 originating:1 computing:1 proven:2 a1g:72 constructed:1 marking:1 weakened:1 no:9 whereas:6 wavefunction:1 when:8 vanishes:1 role:3 picture:4 noda:1 models:1 variable:1 transfers:1 coulomb:4 pseudo:1 together:2 dρ:1 time:2 precise:2 chain:6 leads:7 inverse:2 essentials:1 zone:3 environment:2 quasi:4 marzari:2 nearestneighbor:1 frequencies:1 choice:1 nesting:4 cyan:1 presented:3 anisotropy:1 upper:1 cost:2 spectral:8 appear:2 contracted:1 t2g:24 reminiscent:1 filled:2 drechsler:1 vanderbilt:2 understanding:3 condmat:1 along:14 appears:7 change:8 shift:2 dominantly:1 spheres:2 studies:5 plotted:2 useful:1 extra:2 translational:3 planck:1 france:1 going:2 bz:4 associated:5 theoretical:5 marginally:1 sharing:1 apparent:2 nguyen:1 sulfur:4 nishiyama:1 effort:1 insights:1 reviews:1 renders:2 cal:1 growing:1 making:1 mlwf:1 nearest:6 figure:5 sense:2 performed:4 spanning:1 s3:1 s2:5 s1:6 antoine:1 pure:1 parameter:1 dominance:1 mat:3 may:17 max:1 deviates:1 revealed:7 dynamical:3 sectors:1 vanadium:4 explicit:1 so:3 representation:1 inplane:2 indeed:4 pointed:1 mainly:4 primitive:7 course:2 cuts:1 argued:1 still:15 tendency:4 supplemented:1 group:4 interesting:2 coordinates:1 forms:1 decreased:1 main:1 yamauchi:1 non:1 thereby:3 gray:2 evolution:1 half:1 now:14 lichtenstein:5 hall:1 nor:1 susceptibility:3 term:2 drop:1 arrows:1 realistic:4 instabilities:1 instability:4 entirely:1 quarter:1 last:1 el:1 significantly:2 arbitrariness:1 eg:30 ef:3 ex:1 ev:25 giri:2 shown:9 impurity:6 space:2 furthermore:1 avignon:1 increase:2 investigation:4 formula:5 shiga:5 theory:5 mechanisms:1 quite:3 ohtani:1 besides:1 textbook:1 transition:11 place:5 first:4 origin:1 symmetry:16 occupations:1 quasiparticle:1 carry:1 impossible:1 open:3 singling:1 given:1 sheet:6 theoretische:1 indicate:1 cooling:3 1d:4 realization:1 white:1 structures:6 speaking:1 gives:1 continuous:1 accurately:1 than:3 wide:3 favors:1 were:4 resistivity:1 argument:1 distorted:1 hoppings:1 natoli:1 occupied:2 efficient:1 note:12 sciences:1 ideal:1 potential:3 take:1 online:14 coincide:1 channel:1 closer:1 cnrs:1 correlation:8 zigzag:2 sheets:6 remarks:1 especially:7 surprising:1 average:4 slope:1 show:4 flach:1 joly:1 conduction:1 only:20 explicitly:3 lorenzo:1 thompson:2 nearly:4 symmetrically:2 conjunction:1 neither:1 reveal:1 summary:1 though:1 reveals:1 namely:1 mitrovi:1 inequivalent:6 compounds:1 radn:1 definite:1 sites:5 boundaries:1 behind:1 between:22 sekiyama:1 rupp:1 originated:1 ascribed:1 kotliar:5 originates:1 σc:1 many:3 σa:1 according:1 contract:2 σv:4 among:1 color:16 moreover:3 mark:1 crystallogr:1 direction:1 formed:1 coherently:1 former:5 those:6 case:6 kimura:1 cast:1 investigating:1 margin:1 coupled:1 characteristics:3 cluster:12 ambient:1 mercier:1 different:14 same:2 shifts:5 regime:23 extended:1 closest:1 structurally:1 driven:1 inbetween:2 delicate:1 entanglement:1 invariance:2 cr:1 roughly:1 solve:1 components:1 model:4 manifold:4 being:1 generally:3 ch:1 aspect:1 multiplet:2 hint:2 seems:2 parametrization:1 lett:10 psi:2 around:2 read:1 dark:2 using:1 mod:1 particle:1 identifying:1 either:1 integrals:2 inter:1 reduced:5 twelve:1 competition:1 table:8 matching:1 provided:1 critical:1 ranninger:1 equivalent:4 each:4 broken:1 anisimov:1 found:1 2n:1 comparison:7 fillings:4 discussed:3 greatly:1 wold:1 mixed:4 bond:1 exchangecorrelation:1 berger:6 inclusion:2 numerically:1 successively:1 wada:2 there:9 dispersion:2 low:16 reduce:1 sophisticated:1 ωn:4 strongly:13 diverges:1 describe:4 again:3 completeness:1 field:12 gaining:1 includes:1 rv2:2 rv1:4 important:8 flattened:2 peak:2 included:1 decorated:1 tendencies:1 tricky:1 calls:1 starting:1 represent:1 monte:1 pointing:1 splitting:2 aly:5 follow:1 mattheiss:1 tx:3 ts:6 program:1 meanfield:1 straightforward:1 very:9 hybridize:1 dispersions:1 fall:1 nonfermi:1 difference:3 hamiltonian:11 silke:1 large:11 small:1 ga:2 periodicity:1 renormalized:2 supression:1 zero:6 perspective:1 further:4 qmc:10 what:2 section:1 boundary:1 method:3 quenched:1 condensed:1 full:2 loose:1 orbitals:12 2kf:1 selective:1 excess:1 directions:2 strong:14 parcollet:1 narrow:3 via:4 family:1 marginal:1 vii:2 takes:3 distinct:1 charge:13 hirsch:1 minor:4 more:18 metoki:1 varying:1 known:1 none:1 recall:1 marezio:1 ions:42 stated:1 neglected:1 states:24 minimum:2 numbers:6 model14:1 sharp:1 axis:7 information:3 respective:3 lowdimensional:1 rather:9 eg2:22 eg1:51 breaking:3 acta:1 fr:1 fs:12 tried:1 derived:15 plane:3 fd:1 waves:1 preferential:1 negligible:1 playing:1 help:1 distortion:2 through:1 existence:1 kinetic:3 excitations:2 its:3 rapidly:1 energies:5 penc:3 systems:3 might:3 deformation:1 good:3 hettler:1 framework:4 always:2 level:5 2c:1 dominating:1 universit:1 2j:1 weight:11 energy:36 positioned:1 investigated:3 expect:1 quantum:2 operation:1 since:15 dominated:3 aligned:1 induced:1 issue:1 occurs:1 lawrence:2 reason:1 put:1 mmc:16 onsite:6 definition:1 pairs:1 ion:8 inspection:1 expecting:1 leading:5 indebted:1 major:3 relate:1 number:1 intrachain:6 utilized:1 done:1 differ:1 temperature:17 koo:2 introduction:1 dft:2 pinned:1 assumption:1 calculations:7 scheme:1 shifted:3 3d1:1 pockets:1 part:4 favorable:1 believe:1 albeit:3 polarized:3 determines:1 determined:1 contrary:3 str:1 treated:2 peierls:1 substantial:8 wannier:21 qps:1 hexagonal:20 option:1 depending:1 partly:1 self:14 onset:2 equaled:1 finding:1 towards:5 singlet:1 most:1 significant:3 undertaken:1 measured:1 clear:1 maier:1 electrons:5 exp:1 physics:7 sector:2 cdw:16 relation:1 find:5 occupation:14 access:1 parameters:2 dominant:13 notation:1 dependent:2 intersite:9 famous:1 closely:1 competing:2 exhibiting:1 arxiv:1 doubled:1 nakamura:6 approaching:1 bars:1 set:2 achieved:1 unpublished:1 see:8 individual:2 cpht:1 close:8 pictures:1 smallest:1 various:2 numerous:1 recently:2 missing:2 vanishing:1 pruschke:1 both:10 folding:1 sensitive:1 context:2 finds:1 experimental:6 point:3 simple:2 corresponds:4 dimensional:2 throughout:1 expensive:1 described:2 perspectives:1 due:19 reduction:1 treatment:2 imai:3 gap:3 intriguing:1 replaces:1 pacs:1 solid:5 while:13 behavior:10 error:1 identical:2 studied:1 costly:1 jpn:4 twofold:1 pseudopotential:2 lengths:2 elevated:1 widely:1 ray:1 higher:5 used:10 moment:2 uses:1 lowenergy:2 recent:2 early:2 lower:5 underlies:1 obviously:1 solids:1 distances:2 lda:58 atomic:4 questions:2 multiorbital:3 conclusions:1 exclusively:1 relevance:1 remaining:2 hybridization:11 bit:1 like:7 follows:1 pillar:1 manifest:1 indication:1 essential:2 spins:6 susceptibilities:1 some:14 strongest:1 scale:2 describing:1 matsuhara:1 measurements:1 per:3 connecting:1 anne:2 minimal:4 ba:4 bc:1 jumps:1 agreement:1 stem:1 yamasaki:4 greenblatt:2 tracing:1 monoclinic:14 range:4 repulsion:1 computational:1 incoherence:1 into:4 within:20 statistics:1 institut:2 placing:1 question:1 long:1 occupy:1 underlines:1 line:1 directed:1 hybridized:1 characteristic:1 up:1 ur:2 hybridizes:2 matsubara:1 similar:2 called:1 ordered:1 defined:1 influence:2 single:4 formalism:4 puzzling:1 disproportionation:1 amounts:1 energetic:3 problems:4 structure:52 correlated:10 lead:2 required:1 orbit:1 far:1 dvv:1 once:1 magnetically:1 results:3 existing:1 proposition:1 broader:3 go:2 incommensurable:1 centers:2 issues:1 longstanding:1 excluded:1 stable:1 include:2 dramatically:1 indicating:1 ingredient:1 wave:1 electron:3 cellular:3 positions:5 optics:1 noted:3 dimer:5 smaller:4 sulfide:3 carlo:1 index:1 perimental:1 giving:1 3p:9 expressed:1 cell:8 3j:1 experiment:1 values:7 3a:1 3d:2 body:2 led:1 chose:1 degree:1 exchange:3 respectively:4 delivering:1 following:3 others:1 involved:1 larger:3 leaving:1 resulting:3 makes:1 stabilization:1 apr:1 addressed:1 anomalies:1 apply:1 tools:1 commun:1 remains:1 few:2 ecole:2 becomes:1 insufficiency:1 iii:3 account:1 averaged:1 obvious:4 drops:1 calculation:2 high:4 effectively:3 tab:6 triangle:3 andersen:2 six:1 arrangement:1 regions:1 located:2 varies:1 pair:6 instead:1 canfield:1 neighbor:6 singular:1 gardner:1 physik:1 intercluster:1 computations:2 lines:2 correspond:2 insight:1 interpreted:1 including:1 lo:1 degrees:3 insulator:4 derivative:1 imbalance:1 murakami:1 outlined:1 dai:2 souza:1 2s2:1 identified:2 accompanied:1 subset:1 related:2 frequency:3 static:1 interplay:1 our:5 transitions:2 special:1 out:7 matrix:4 rev:25 mωcm:1 orbitally:2 ref:8 integrated:1 red:4 common:1 interactions:3 8b:1 frank:1 cheong:1 diagonal:1 completely:1 surely:1 nishi:1 interaction:2 keep:1 isotropic:1 hence:12 jarrell:1 powerful:1 reaches:1 salient:1 ordering:2 data:4 system:14 their:4 intermediate:1 final:3 booth:1 shell:1 explanation:1 remember:2 observed:4 liquid:1 characterizations:1 compensation:1 amplitude:1 fluctuation:1 unchanged:1 fail:1 need:1 namatame:1 apparently:1 clearly:3 mih:5 mechanism:1 instance:1 εf:2 mit:9 accuracy:1 but:6 tanaka:1 cases:1 class:2 neighboring:4 face:1 fact:4 emerging:1 text:1 supported:1 nier:1 debate:1 nominally:1 based:2 knowledge:1 winner:1 should:4 candidates:1 employed:3 local:16 means:2 overall:4 ones:4 brillouin:2 qp:6 processes:1 densities:1 paramagnetic:8 expansions:1 qc:1 biermann:5 graf:1 view:1 computed:2 correlations:11 freeze:1 differs:1 enhanced:2 octahedra:1 phases:16 interacting:3 pattern:1 straightly:1 tend:2 state:20 invariant:1 takano:1 opening:1 importance:3 neglection:1 deliver:2 comparably:1 restrictions:1 taking:2 dmrg:1 lechermann:4 detailed:1 relevant:3 conclude:1 narrower:1 ab:1 hprn:2 respect:2 ct:2 addition:1 cent:1 isolating:1 corresponding:6 sufficient:1 coherence:2 subspace:1 poteryaev:5 hamburg:2 c2:1 present:3 homes:1 value:3 bavs3:45 vi:2 thus:8 site:11 surface:7 vs:1 orbital:29 hubbard:1 perhaps:1 palaiseau:1 parts:2 largest:2 units:4 castellani:1 finite:1 difficult:2 upon:1 effect:1 v1:32 v2:30 v3:25 v4:30 idris:1 scarcely:1 off:1 well:7 position:1 restore:1 pseudopotentials:1 less:2 moments:1 underlying:1 density:8 lattice:5 resolved:5 dimers:2 fye:1 increases:1 prominent:1 georges:4 qualitative:4 popov:2 become:1 deviation:2 because:6 proper:1 diagonalizing:1 esard:1 leak:1 overlap:1 does:6 chains:4 vs3:1 jeckelmann:1 slight:1 journal:1 pressure:2 although:5 about:8 column:2 freedom:4 introduced:1 functional:2 additional:1 transfer:6 overestimate:1 much:2 naturally:1 function:4 kojima:1 overlapping:1 volume:1 construction:1 gain:1 highest:1 partially:1 made:1 evident:2 instructive:1 antiferromagnetic:1 below:14 problem:3 display:1 int:1 inadequate:1 denote:3 lobes:1 crystals:1 mutual:3 compared:5 nonetheless:2 other:6 details:3 stay:1 metallicity:1 additionally:1 watanabe:1 coupling:5 rule:2 4b:1 4a:2 |
0704.2503.txt |@word induces:7 lack:1 y2:7 sergey:2 proposition:28 gb:2 grateful:2 consists:1 follow:2 gj:8 gi:4 equivalences:16 whose:5 preserves:13 c0:1 sga1:2 calculate:2 equivalence:38 λn0:12 finally:4 pseudofunctor:1 th:1 under:1 connecting:1 localizations:1 di0:1 degeneration:1 applied:2 preserved:1 k01:4 very:2 rise:2 choice:6 corollary:4 isomorphism:5 lecture:1 deformations:2 categories:45 look:1 squares:1 presented:6 meant:1 turns:1 notes:1 list:1 nostrand:1 d2:1 correct:6 leave:1 discrete:3 convenience:3 disc:2 math:7 λni:8 small:1 smaller:1 ga:1 dealing:3 direct:1 horn:4 second:2 preimages:1 substitute:1 canonical:4 even:4 established:1 what:3 unavailable:1 invertible:1 giving:1 deeply:1 section:11 assembled:1 version:5 holim:8 above:8 boundary:7 new:5 order:1 consisting:1 satisfy:2 full:2 simultaneously:1 notions:3 degree:1 deduces:1 here:7 fiberwise:2 believed:1 objects:26 free:6 address:1 represented:4 path:2 along:1 strong:12 equations:1 appears:1 deduced:1 obtained:6 remark:1 over:14 algebra:3 technical:1 studied:1 allows:2 diff:1 u01:13 vogt:1 simultaneous:1 studies:1 quotient:2 uniquely:5 formulated:2 useful:2 homotopic:1 f1:4 inducing:1 prefer:1 marked:1 highly:1 expect:1 hindsight:1 apply:1 use:7 takes:1 would:1 prove:5 sake:1 contains:1 readable:1 eσ:1 compositions:1 few:2 f01:1 non2:1 f02:1 generators:2 means:3 diagrams:3 more:13 flat:1 israel:1 formally:1 integers:1 initial:1 ematiques:1 appendix:1 particular:2 known:3 4an:1 hold:1 eα:2 circle:1 op:43 helped:1 valued:1 left:5 vladimir:12 recall:7 equation:1 f0n:3 cat:9 πnx:2 obvious:3 following:22 making:1 example:5 def:10 proof:14 claim:10 f2:2 do:2 calculation:2 reedy:1 algebras:4 sphere:3 cube:2 numbers:1 want:1 sense:3 times:1 v0i:1 scat:49 cocartesian:2 sset:18 respective:1 fn:5 fortunately:2 s1:4 hom:61 write:2 maps:12 nontrivial:3 quillen:1 opposite:1 instead:3 map:65 product:1 mar:1 v01:15 v02:3 may:3 earlier:1 collection:9 diagram:11 consequence:1 wrong:5 fi:10 fj:4 data:1 compatibility:1 lifting:2 natural:10 third:1 idb:1 fibers:2 element:2 their:6 provide:2 si:2 so:7 decreasing:1 definitions:4 morphism:7 playing:2 typical:1 erasing:2 restriction:3 help:1 pointed:3 top:1 satisfied:1 course:5 paper:1 london:1 horns:2 mentioned:2 y0:10 satisfies:4 still:1 hirschhorn:3 its:11 equiv:1 uop:1 monotonicity:1 how:1 chosen:2 fix:1 lh:3 bijection:4 choose:3 fij:1 mail:1 main:1 defining:1 deformation:13 yi:1 non:6 someone:1 pure:1 yn:8 mention:1 bergner:3 now:10 easily:4 finite:1 simplices:16 name:1 cases:1 always:1 university:1 arrows:17 iff:4 inequality:1 arrow:20 each:11 found:2 identifies:1 cahiers:1 side:4 characterized:1 subset:1 inserts:1 lifted:2 square:3 completions:1 simplicity:1 series:1 functor:61 eb:3 connect:1 pr2:2 1n:2 our:3 special:2 out:2 category:74 hemispheres:1 topos:1 space:2 furthermore:1 since:24 crucial:1 denotes:3 fx:7 groupoids:22 mα:2 denoted:4 formula:8 get:2 induced:5 tautologically:1 announced:2 shows:2 8h:1 fiber:1 pseudofunctors:3 theory:7 reformulated:1 localization:6 monotone:2 correspondingly:1 diagonal:1 possibility:1 standard:35 assures:1 reason:2 cartesian:9 put:1 monographs:1 rlp:1 cofibrantly:1 definition:15 language:1 applications:2 could:1 similarly:4 fb:1 nonnegative:1 thing:1 place:3 corrections:2 assign:1 first:8 already:1 xn:18 feel:1 relations:2 number:1 preservation:5 clear:1 set:19 construct:1 another:8 carry:2 ring:1 precisely:1 ont:1 given:17 necessarily:3 f1n:1 hinich:16 1w:2 cofibration:13 introduction:1 adjoint:4 πi:1 πn:12 least:1 indicate:2 too:1 statement:1 inconvenient:1 structures:5 posets:2 gives:7 mostly:1 cope:1 completed:2 zeroth:1 immediate:1 simplical:2 part:1 x2:5 x0:17 x1:12 completes:1 specify:1 toronto:1 u0i:1 princeton:1 sections:3 zero:1 preparation:1 lim:9 determined:1 f12:1 providing:1 decompose:1 projections:1 generalization:1 say:2 joyal:4 need:2 apparently:1 any:11 functors:16 generalizes:1 constructions:1 convenient:4 latter:3 able:1 note:9 instance:1 k1:1 edge:1 k4:2 xi:1 coincide:4 formulas:3 though:1 who:1 kan:14 obsolete:1 most:1 connected:3 plan:1 preliminary:1 remarks:1 fibrant:47 segment:2 d1n:1 appear:1 forever:1 give:1 considered:5 calculated:2 face:4 nondegenerate:1 points:2 exp:1 camb:1 usual:2 notion:15 fact:6 cosimplicial:10 precise:2 show:3 v12:12 text:1 groupoid:17 notations:1 fa:1 dimension:1 trivial:3 find:1 d0:2 d1:5 completion:2 fibrations:23 based:2 downstairs:1 explain:1 should:6 terminal:1 lemma:5 only:6 explicitly:2 enriched:4 subsection:2 constant:3 local:1 1we:1 sur:1 dn:1 abelian:1 hir:4 his:1 triangle:1 notation:4 di:1 dg:1 capital:1 lucky:1 cannot:1 framing:11 u12:4 colimits:1 him:1 becomes:1 smash:1 conditions:1 arxiv:3 l01:2 qa:1 common:1 qf:3 cleavage:2 fixed:1 groupe:1 erroneous:1 modulo:2 fibered:8 notational:2 xxiii:1 j1:2 j2:4 y1:7 see:17 result:5 pi:1 satisfying:2 probable:1 ways:1 case:7 written:1 classes:1 between:3 probably:1 enjoys:1 approach:1 preserve:2 wf:5 notice:1 terms:1 missing:1 weak:47 however:3 w02:2 untouched:1 comm:1 subgroup:1 group:3 bisimplicial:1 improve:1 suggested:1 both:7 cubes:2 last:1 2n:7 limits:8 freely:4 la:1 simplicially:3 according:2 constructed:1 called:10 fulfilled:1 eta:1 context:3 faces:1 cofibrations:15 disappears:1 among:2 cn:2 point:2 simple:1 overview:1 corresponds:1 dimensional:2 simply:3 cs:2 respect:3 throughout:1 factors:1 ct:1 ensures:1 described:3 commutative:9 agree:1 union:3 due:1 been:1 extends:3 morphisms:11 empty:1 define:19 surjective:1 generating:1 referee:1 corresponding:3 commutes:2 requires:1 gap:1 composable:1 coherent:19 lift:1 general:3 spirit:1 present:11 operad:1 dwyer:4 compatible:1 replaces:3 splits:1 contexts:1 sheaves:2 mount:1 value:1 choices:1 will:14 replaced:4 error:2 indecomposable:4 property:9 characterizing:1 quasiisomorphisms:1 vol:1 endowed:2 thus:21 them:2 vn:2 ii:2 ik:3 vs:1 il:1 counterexamples:3 fibration:17 claimed:1 id:2 disappear:1 different:1 descent:5 author:5 make:2 same:9 clearly:1 liftings:2 avoids:1 gets:1 composition:19 higher:1 alence:1 used:9 assigns:1 cubic:1 i1:2 smf:1 i3:3 i2:4 i4:2 hand:5 documents:1 artinian:1 etales:1 weakly:3 acknowledgement:1 0n:1 well:7 know:1 obviously:1 de:1 without:2 sets:18 claims:6 model:19 whereas:1 justify:1 composed:1 surveys:1 they:3 just:3 less:1 being:5 claiming:2 resp:1 fondamental:1 identify:1 projection:1 adv:1 k3:2 unique:5 preprint:2 k2:3 had:1 thickening:1 reasons:1 belongs:8 collections:2 contractible:2 theorem:4 relevance:1 coalgebras:1 remaining:1 details:1 identical:3 embedding:2 inconvenience:1 checking:2 mor:2 showing:1 decomposed:1 results:2 possible:3 topology:1 framings:3 department:1 abound:1 mathematics:2 immediately:2 ams:1 replace:5 formal:2 meaning:1 necessary:1 follows:8 reduces:1 unnecessary:1 steps:2 either:2 become:1 canonically:1 works:1 replacement:1 mathematical:2 copies:1 right:6 theorists:1 deal:2 sends:2 monoid:6 some:10 presentation:1 deduce:2 examples:2 moreover:1 images:2 proofs:1 matching:1 exists:12 endomorphisms:3 cp:3 describing:5 cordier:4 does:5 exposition:1 provides:1 yields:2 proc:1 porter:1 avatar:1 object:12 power:1 equivalent:4 uij:1 step:9 simplex:17 nerves:6 properties:14 injective:2 chapter:1 comparison:3 about:1 central:1 idx:1 extending:1 ob:7 o:2 errata:4 practical:1 remains:3 carries:7 a2:2 idj:1 pr1:2 acyclic:19 slightly:1 other:3 automatically:2 ida:1 vi:1 nerve:52 soc:1 diagramme:1 h2:13 h3:19 into:2 h1:26 isomorphic:1 three:7 pair:4 because:2 references:1 bijective:3 homx:1 lifts:2 a3:4 van:1 classical:3 comparing:1 there:20 3the:1 hypercovering:3 start:2 appl:1 inner:1 way:2 call:1 was:3 strict:3 lurie:3 therefore:3 function:1 complete:1 form:2 forming:1 sequel:1 forgetful:1 but:1 construction:1 ec:1 haifa:3 brant:1 true:4 inverse:3 made:3 versions:4 wish:3 up:3 us:9 below:9 condition:2 limit:2 problem:1 u02:7 homotopy:47 simplicial:123 strongly:2 ac:1 ordered:2 worthwhile:1 defined:24 abstract:1 describe:3 moved:1 proven:1 denote:7 proves:2 eom:1 formulation:1 ind:3 revˆetements:1 check:5 defines:3 functions:2 nn:45 no:7 amounts:2 dashed:2 image:17 nc:1 when:2 detail:1 quasicategories:1 application:2 old:2 book:1 role:2 homb:2 papers:3 formalize:2 mozgovoy:2 homotopically:2 nw:6 draw:1 functorial:2 gf:1 vertex:1 variation:1 a1:5 cofibrant:4 generated:12 important:4 a5:3 a4:2 structure:20 algebraic:1 indn:1 implies:4 hammock:3 assume:4 values:7 required:3 together:3 stacks:1 equivalently:1 carrying:1 reprinted:1 resolution:1 having:3 once:5 |
0704.2505.txt |@word code:4 consider:4 four:4 antennas:3 concept:1 cooperative:3 research:3 contributions:1 row:11 γk:7 γj:6 γi:1 program:1 γn:1 th:3 under:3 division:1 expressing:1 orthogonal:3 alamouti:3 entries:2 matrices:37 condition:1 leads:1 embeddable:1 presented:3 turns:1 list:1 applicable:1 iit:1 large:2 vector:15 olav:1 science:2 illustrating:1 zi:3 zk:2 b24:1 past:2 second:1 design:21 further:2 zr:1 theory:2 lesser:4 what:2 appear:2 section:10 expressed:2 uniform:2 3k:2 indian:2 above:2 designing:2 new:3 bn:6 filled:2 satisfy:4 full:3 respectively:3 component:1 here:1 reported:2 objects:2 z8:26 groups:4 address:1 represented:1 based:3 z6:26 z7:26 table:3 z1:36 z2:38 2kk:1 obtained:9 tirkkonen:1 institute:2 leaves:1 resulting:3 spacetime:2 appropriately:1 apr:1 scaled:1 a23:1 bangalore:2 clifford:18 use:2 sanjay:1 would:3 γk2:1 destination:5 next:1 few:2 explicitly:1 call:2 themselves:2 more:1 introducing:1 relay:12 india:3 z1i:4 industrial:1 virtue:2 particular:1 known:4 iii:2 high:1 ml:24 work:1 following:8 dec:1 γki:1 example:4 f3:7 council:1 december:1 organized:1 tabular:1 performed:2 want:2 ari:1 guarantee:1 information:3 seattle:1 requirements:4 get:6 feature:1 δk:6 hassibi:3 maps:1 methodology:1 sundar:5 map:3 product:1 algebra:30 after:2 containing:1 multiplication:8 representations:5 minimizes:1 fn:4 natural:10 z2q:4 resemble:1 δi:3 element:9 sk:3 complexity:12 so:2 representation:27 order:1 z2i:4 ith:1 feb:1 indeed:1 over:10 satisfied:3 kong:1 symbols:8 paper:3 including:2 looks:2 itw:1 satisfies:1 ieee:6 its:3 before:1 write:1 group:13 how:1 interesting:1 lk:1 conjugation:1 squaring:1 attraction:1 broadcasts:1 parts:2 interleaved:1 lp:1 lq:1 main:1 defining:3 image:3 lx:9 freeman:1 designs:6 introduce:3 framework:4 stbcs:4 wcnc:1 they:3 symposium:1 nov:1 now:2 bigger:1 easily:3 several:1 fully:1 hamiltonian:1 advent:1 xy:1 transmitted:2 2a:1 each:3 found:1 2n:2 associative:4 constraints:1 individually:1 square:5 weight:12 there:2 extended:10 our:3 operation:1 ring:2 special:1 out:1 shown:8 network:1 space:19 furthermore:2 since:4 denotes:3 denoted:3 squares:2 2k:6 ece:4 linear:14 karmakar:1 rely:1 completely:1 california:1 york:1 likelihood:2 finite:2 definition:3 iterative:2 hong:1 times:3 quaternions:1 turn:1 hence:6 relays:13 first:26 size:1 xk:3 simplifies:1 ntroduction:1 kanpur:1 variables:11 coding:2 number:15 restrict:1 clear:2 multiplying:1 relations:5 another:1 array:1 computed:1 equating:1 given:5 salient:1 introduction:1 leading:4 top:1 jafarkhani:1 construct:2 their:4 structures:1 gives:1 a32:1 lot:1 explanation:2 part:1 authors:2 x2:2 july:1 x1:2 than:3 was:4 rate:1 classes:4 a42:1 were:4 san:1 generality:1 generalization:1 clif:12 say:2 acknowledgment:1 conjugate:3 need:5 seen:3 any:8 viewed:2 constructions:6 partly:2 able:2 jacobson:1 note:4 intends:1 take:5 forces:1 finding:1 channel:1 begin:1 shall:2 precoded:1 tandon:1 anticommute:2 algebraic:19 regular:16 significant:1 phase:4 δki:3 class:1 sub:1 prove:1 especially:1 average:2 partition:3 z3:32 hamid:1 proceedings:5 fact:2 precise:1 supported:1 ki:8 minimizing:1 analogue:1 decoding:14 networks:3 ncc:1 ratio:2 knowledge:1 distributed:7 should:10 jan:1 only:2 anticommutes:2 generators:5 oct:1 columns:1 do:1 dm:1 handle:2 gains:1 notation:1 means:1 between:1 words:1 ˆi:1 wise:2 conjunction:1 dstc:5 approach:1 arxiv:4 fabricate:1 emr:1 through:1 drawback:1 view:2 available:3 requirement:1 set:6 constructing:3 national:1 respect:1 up:5 observed:2 see:1 result:2 kiran:1 recently:4 constellation:1 techniques:1 babak:1 satisfying:5 ways:1 written:1 simplest:1 conditions:11 across:1 commute:5 notice:1 csir:1 terms:2 importance:1 however:5 endc:2 endf:1 distribution:2 recall:2 received:4 essentially:1 x2k:2 met:1 taking:6 equal:1 embedding:1 china:1 decodable:13 ck:3 cj:1 ci:5 co:1 stbc:1 eferences:1 dimensional:1 z4:32 grants:1 anti:2 z5:26 cs:4 cr:2 slots:1 conference:1 pp:4 targeting:1 source:3 addition:2 create:1 odes:2 been:6 strategy:1 defined:2 basic:1 algebras:12 meeting:2 define:1 diversity:5 both:4 moved:1 sufficient:7 covariance:1 constellations:1 systematic:3 c2:1 c1:3 general:9 those:2 case:2 13th:1 multi:1 look:1 will:3 while:2 ar:1 suppose:3 property:4 procedure:4 resolved:1 a22:4 unitary:11 vol:2 vi:3 metric:1 thus:13 them:1 iv:2 ii:7 ernet:2 different:4 verified:1 grant:1 perform:2 make:1 belong:1 same:1 clearly:1 complex:14 fill:3 subalgebra:2 used:3 upon:1 driven:1 moving:1 identity:3 well:4 non:2 without:1 solve:1 dimension:5 left:17 protocol:4 proposed:5 among:4 being:2 generally:1 rotated:1 obtain:12 rest:1 positions:1 alternative:1 yet:1 previous:3 conjugates:1 signal:1 candidate:1 readers:1 thinking:4 except:2 lattice:7 setting:1 easy:1 bnl:3 remaining:1 real:14 march:1 possible:1 transmit:3 know:1 using:11 2nd:1 advanced:1 loss:1 like:3 follows:5 interestingly:1 specific:2 communications:2 δj:2 either:2 arbitrary:1 popular:1 simply:1 works:2 reduced:2 mathematical:1 because:3 some:2 francisco:1 b1:1 b2:1 moreover:4 intact:1 ourselves:1 nonzero:1 provided:3 proceeding:1 transactions:2 provides:2 yields:1 refer:1 noise:1 scientific:1 power:7 equivalent:1 processing:3 communicate:1 bi:4 negatives:1 br:1 described:1 imaginary:1 properties:4 simplify:1 column:15 basis:13 discussed:4 a3:8 recollect:1 page:1 compatible:1 important:1 nothing:2 introduced:3 slightly:1 other:3 block:2 a4:6 contains:3 chengdu:1 communication:1 into:4 obtaining:1 down:2 pair:1 appropriate:4 jing:4 additional:3 pairing:1 ordinate:1 appears:1 low:10 way:5 ed:1 forward:1 papr:2 sections:1 naturally:4 form:5 but:3 rajan:9 wireless:4 construction:10 decoder:4 amplify:1 partitioning:1 xi:3 applying:3 partitioned:1 iisc:3 transmits:1 cih:1 maximum:2 us:5 below:2 problem:7 similar:2 called:2 detailed:1 proved:1 choosing:1 af:2 ai:6 abstract:1 linearity:2 resultant:1 aq:1 engineering:1 diverse:1 corresponding:4 commuting:1 check:1 constructed:6 codes:24 no:2 globecom:1 commutes:2 when:1 detail:1 field:2 interested:2 department:2 nt:3 briefly:2 elements:9 a12:1 symbol:4 a1:7 generated:3 a2:11 a5:3 peak:2 a7:3 a6:3 variable:2 a8:3 matrix:34 algorithm:3 required:6 together:1 cjh:1 tradeoff:1 time:13 international:1 once:3 |
0704.2506.txt |@word partial:2 gr:6 remarkable:1 magnetic:3 diagonalisable:1 results:5 ds:5 leads:2 eds:1 scalar:2 grateful:1 2n2:2 covered:1 follow:3 n32:2 polytropic:1 consider:2 compact:1 particles:7 inverse:2 calculate:3 re:1 concerned:2 technique:1 canonical:1 finally:2 weyl:6 preserved:1 under:3 iij:3 applied:1 global:1 worse:3 straightforward:1 orthogonal:2 very:1 assuming:1 spacetimes:1 kck:1 splitting:1 corollary:3 putting:4 fall:1 bounding:1 rtj:1 condition:4 hamiltonian:6 bn:9 henri:1 υa:2 solution:10 υc:1 try:1 solved:3 vector:1 interchanging:3 dealt:1 indices:1 eigenvalues:2 finiteness:1 work:3 lecture:1 vacuously:2 sign:2 past:1 zero:11 evaluated:1 7th:1 air:2 odd:2 theory:1 even:6 3z:1 what:1 abc:1 sub:1 rate:1 giving:1 3r:1 section:9 3w:2 while:8 d3:21 henceforth:2 consistently:1 cyclic:2 umbilic:5 goes:3 nm:4 new:5 ever:2 method:2 satisfy:3 justification:1 lee:6 relates:1 respectively:1 never:1 component:1 here:10 specialise:1 desired:1 tangent:1 possibility:1 sinh:1 along:3 equations:35 implicit:1 change:4 drops:1 changes:1 institute:3 study:1 allows:1 reason:1 ab0:1 accomplished:1 resulting:1 λr2:4 hospitality:1 conveniently:1 spacetime:2 appropriately:1 via:1 spatially:11 classification:1 extra:3 apr:1 s02:1 replace:1 analogously:1 brm:1 τf:14 summation:1 relating:1 linearly:1 use:8 asymptotic:7 would:3 prove:6 covariant:2 positive:32 kin:1 negative:5 eσ:2 next:2 comparing:1 call:1 therefore:7 typo:1 m2:9 taken:3 robertson:1 compactly:1 type:14 until:2 minor:2 geodesics:3 flat:2 furthermore:1 becomes:7 apparent:1 corrected:1 nkm:1 curvature:4 particular:4 known:1 cases:5 hold:2 iii:6 must:1 evolves:1 yα:1 κmn:4 extension:1 indicates:1 recall:3 equation:45 mn:4 mi:2 mj:2 ρr:1 values:2 three:2 following:8 making:1 vlasov:38 example:1 proof:12 f1:1 omit:1 want:1 cosmological:28 give:3 calculation:5 expanding:4 choice:1 permutations:3 annals:3 states:1 effectively:1 assumptions:1 o:1 tab:7 sense:1 unphysical:3 rescaling:7 recollapse:4 dxb:3 dxa:5 dk:2 e2u:4 end:1 turn:3 provide:2 s2:1 discussion:1 differentiability:2 carries:1 evidently:2 write:11 how:2 fourth:2 simplifies:1 instead:1 ordinary:2 parameter:2 sin:1 isotropic:22 singular:1 may:9 after:5 singularities:7 collection:1 bkt:2 s0:2 plane:1 unsurprising:1 fk:2 data:22 grow:1 types:6 6h:3 stress:1 introduced:1 natural:1 dynamical:1 third:1 mjm:1 sp:1 explicit:3 correspond:1 st:2 s3:4 so:32 fundamental:1 2u:2 first:17 order:12 superscript:1 holds:2 over:4 move:1 satisfied:5 parametrised:1 course:1 paper:1 through:13 hypersurface:2 argued:1 existence:23 satisfies:5 still:1 its:4 before:3 perfect:8 lg:6 group:3 located:1 ln:1 coordinates:3 writing:1 forms:5 absence:2 lu:1 choose:3 lp:1 persist:1 isaac:1 mail:1 schmidt:1 bjm:3 outside:1 non:5 bjl:1 return:1 yn:9 conversations:1 inductively:3 introduce:8 disrupted:1 bang:22 kkn:1 they:5 sij:4 oxford:2 singularity:26 now:7 discuss:1 sτ:4 represents:1 february:1 finite:13 e2α:3 e2β:3 2s:1 golm:1 dσ2:1 university:1 wherever:2 b3:2 dσ3:1 possibilities:1 2f:1 2c:1 simplified:2 soc:1 dσ1:1 κij:8 side:7 lorentzian:1 constraints:6 homogeneous:13 differential:4 transforming:2 suspended:1 collisionless:2 series:7 energy:3 reduce:3 2ht:4 related:2 conventions:2 inhomogeneous:1 static:1 expect:3 measure:1 eu:2 our:7 ev:1 a0ij:5 out:2 stands:1 shown:1 matrix:3 rr:1 space:17 ajr:1 since:7 investigate:1 content:2 collisions:1 bln:1 geom:1 ajm:1 blj:3 wainwright:1 formula:2 arrive:1 evaluation:1 mλ:1 shows:1 earlier:2 linear:2 problems:1 divergence:2 diagonal:1 free:10 effect:1 admits:1 manifestly:1 completely:1 term:3 put:3 estimate:1 wanted:1 beginning:2 log:2 r4:3 definition:1 r6:1 r2:12 geometry:2 could:3 conformally:5 cosmic:1 times:2 δim:2 δin:1 place:2 isn:1 retain:1 support:5 heuristically:1 origin:4 initial:27 symmetry:8 striking:1 xb:1 xc:1 variables:3 xa:2 geodesic:4 restrict:2 done:3 least:3 directly:1 carry:2 blows:1 precisely:1 given:15 necessarily:3 checked:1 reference:1 hyperbolic:1 introduction:2 ricci:3 system:19 construct:1 γjk:1 assumption:2 inversion:1 constants:2 statement:2 convention:4 dt2:4 john:1 whose:2 tod:5 gives:3 shell:1 explanation:1 exactly:3 proving:1 accurately:2 alan:1 short:1 differentiate:2 than:8 coefficients:1 kind:2 determines:2 penrose:5 iteration:2 namely:2 hypersurfaces:1 matter:8 classes:1 speaking:1 were:2 amount:1 powers:1 distinguished:1 decompose:1 perspective:1 collecting:1 motivation:1 specifiable:1 generality:1 anm:1 unchanged:1 argument:3 curves:2 ank:1 already:1 say:6 inequivalent:1 need:4 seen:3 seem:1 cosmology:1 apparently:1 clearly:1 elsewhere:1 lie:1 rearranged:1 mr4:2 convenient:2 lij:3 note:5 k2:1 take:1 forces:1 negligible:1 techniques:1 begin:3 towards:2 allow:1 trace:6 though:1 albert:1 friedman:4 object:1 systems:1 metrics:6 most:1 regular:2 eight:1 plan:1 significant:1 phase:1 future:11 class:7 bsc:1 forever:6 don:3 observation:1 considered:3 clear:1 later:2 cki:1 qr2:2 ks:4 kr:1 part:6 friedrich:1 uniqueness:1 left:5 fact:5 quantity:1 2m2:1 saying:1 momenta:1 show:8 supported:2 rti:1 dipole:1 solutions:22 imagined:1 find:14 ni:2 based:1 parameters:1 much:1 written:6 should:1 moments:1 only:6 explicitly:1 subsection:9 factor:7 integrate:1 local:5 do:3 dl:1 above:3 notation:1 get:1 df:1 fluid:10 aim:1 unimportant:1 cannot:3 dz:2 closely:1 dy:1 tbc:2 du:1 dr:1 subscript:1 dp:1 prime:1 2rij:1 evolution:3 conditions:5 arxiv:1 grav:3 geodesically:1 qc:6 including:1 fixed:1 dpi:3 view:2 n12:1 2p0:1 requirement:1 set:6 3c2:1 exists:4 notational:1 imposing:1 frame:1 e2σ:2 respect:2 up:2 depends:1 college:1 result:8 im:1 terms:5 kinetic:1 concern:1 surfaces:3 satisfying:2 tensor:11 subsequent:1 away:4 interpreted:1 cosmologies:7 symmetric:1 state:8 determined:3 between:1 invariant:6 boundary:3 approach:1 ends:1 recently:1 initially:6 confusion:1 subject:2 however:4 vanishing:3 hypothesis:1 censorship:1 jk:2 distinguish:1 article:2 diverges:5 problem:5 discontinuous:1 suggested:1 both:9 essentially:2 last:2 limits:2 freely:1 taking:1 fuchsian:5 kjn:3 spray:1 constructed:1 chosen:4 admit:1 rendall:6 behaviour:6 argue:1 expression:1 ci:4 point:3 simple:5 continuation:1 asymptotically:1 corresponds:2 dimensional:4 pm:17 pole:6 massive:8 simply:2 decreases:1 constant:25 diagonalised:1 math:1 pr:3 late:1 pq:1 described:1 submanifold:2 second:3 basis:6 ishes:1 sachs:5 been:1 pb:10 pc:1 pa:16 frw:6 combined:1 interest:1 likewise:1 pj:16 pk:10 pi:40 pn:5 ann:2 pl:7 define:4 determinant:1 grqc:1 corresponding:3 6f:1 σj:1 cotangent:2 lq:1 gas:1 σi:3 bmp:1 observe:1 anj:1 derivative:5 2n3:1 c2:1 2n1:1 denote:2 gab:13 present:1 case:9 p0:24 look:1 pacs:1 appearance:2 examine:1 value:7 choices:2 will:11 near:2 suppose:6 aij:18 aid:3 property:2 conformal:36 aib:1 ix:9 seven:1 dθ:2 coupled:3 differentiating:1 characteristics:1 metric:49 thus:11 them:1 surface:3 according:2 ij:28 rij:5 against:1 fn:8 vanish:2 different:2 conservation:3 perhaps:1 seek:3 radiation:8 connection:1 same:6 poincar:1 read:1 another:2 complex:1 quant:3 several:1 grows:1 fairly:1 extended:2 infinity:5 see:10 kqr:1 appearances:1 trajectories:1 ness:1 hand:7 kij:22 moment:2 purpose:2 kim:2 n22:2 extendible:3 spreads:1 expand:11 recent:1 knm:1 knj:1 reflection:1 kni:1 makes:1 no:4 well:7 posedness:2 phil:1 thought:1 without:5 solve:4 components:1 easily:1 coordinate:1 model:4 knr:1 bodies:1 usual:1 isometry:2 a0:4 manifold:1 just:11 being:2 when:4 newton:1 obtain:15 homogeneity:5 dφ2:2 spherically:1 differentiation:2 useful:1 paul:2 rotation:1 november:1 previous:5 blow:1 rs:3 family:1 density:1 bnr:2 seems:3 except:2 smoothness:1 source:4 add:3 setting:3 extends:2 theorem:12 transformation:4 momentum:8 real:3 rescaled:12 bim:3 bij:9 kpq:3 ζij:6 big:1 posed:5 possible:1 possibly:2 2w:4 similarly:1 vacuum:1 press:1 using:3 unique:3 8πg:2 loss:1 modifications:1 like:5 particle:2 systematically:1 follows:7 reduces:1 e2γ:3 steps:1 either:3 integrals:2 arbitrary:1 become:2 mathematical:1 right:5 deal:1 smoothly:1 njk:1 revert:1 some:8 back:1 njm:1 calculated:1 b0:9 examples:6 b2:3 normalisation:2 proper:9 happens:1 scale:5 ellis:1 lead:2 kr2:1 kmn:8 avoid:1 shall:12 integration:2 parametrisation:2 whole:1 flow:1 does:3 t0:2 provides:1 tends:2 2kij:3 proc:1 claimed:2 power:5 σij:3 equivalent:3 expansion:2 found:4 kτ:1 properties:3 about:6 carried:1 increasingly:1 constraint:11 aci:1 introduces:1 acm:1 remains:1 range:1 krn:1 transitive:1 raised:1 cambridge:3 presence:1 jn:1 bjn:3 into:7 johns:1 integral:1 due:1 down:1 device:1 appropriate:1 because:2 references:1 einstein:43 elementary:1 proportional:2 eht:1 acknowledgements:1 van:1 formulate:1 rct:1 assumed:1 strictly:3 there:22 u0:1 long:10 ijmn:2 start:1 bianchi:17 mks:1 way:2 obliged:1 scri:45 was:9 asymptotics:1 function:19 0ij:1 gronwall:1 complete:3 form:15 enough:1 but:28 volume:2 repeated:1 lowered:1 cycle:1 convergence:1 laurent:1 removed:1 true:1 directed:1 iterates:2 consist:1 zij:11 smooth:16 bounds:1 differentiable:1 mtj:1 below:3 limit:2 uk:1 distribution:11 more:5 similar:2 called:1 b1:2 interchanges:2 ac:2 ab:11 proved:3 introducing:3 defined:1 cover:2 abstract:1 congruence:2 am:1 doesn:1 dσ:4 modify:1 single:2 exist:7 dλ:4 interchanged:2 formulation:1 formalism:1 check:1 physical:5 again:8 nj:1 completeness:1 us:1 variety:1 generally:1 vanishes:5 field:3 other:9 dt:7 neighbourhood:2 normal:1 spatial:6 nr:1 massless:19 briefly:1 conventionally:1 integrates:1 models:9 bmn:16 uniformly:1 bundle:1 includes:1 bct:1 important:1 bounded:9 structure:2 implies:2 assume:4 cauchy:1 dτ:14 interval:1 necessitates:1 together:5 4c:2 mimic:1 mass:7 dot:1 time:55 walker:1 n1:7 n2:6 n3:7 starting:1 having:3 kantowski:5 once:2 |
0704.2507.txt |@word proposition:1 represent:1 concept:4 homomorphism:2 consider:4 similarity:1 pairing:1 focus:1 leads:1 known:2 commute:3 cooperative:2 c2:15 gl:4 contributions:1 reasoning:1 issues:1 row:7 inverse:3 tx:1 technique:1 γk:4 γj:4 quasi:3 program:1 γn:3 th:2 under:1 dramatically:1 indoor:1 g2:5 g1:5 orthogonal:6 choice:2 suggesting:1 every:2 entries:4 matrices:24 interleaved:1 entire:1 irreducible:18 roblem:1 list:1 solution:3 large:1 vector:3 olav:2 science:2 small:1 restated:1 direct:5 rate:20 design:11 further:3 linear:21 established:1 what:4 sub:2 invertible:1 giving:1 sum:2 expressed:2 decoding:9 indian:2 gi:1 above:2 new:2 bn:5 filled:1 satisfy:6 gµ:14 full:2 simultaneously:1 chose:1 degree:5 sanjay:3 respectively:1 jointly:3 reported:1 objects:1 china:1 groups:11 alone:1 xα:4 appears:1 obtained:17 institute:2 study:1 studied:1 products:1 suitable:1 spacetime:2 uniquely:1 named:1 family:1 elaborated:1 apr:1 explained:1 diagonalizable:1 replace:2 addressed:2 tools:6 bangalore:2 unit:1 clifford:21 use:5 feb:1 proceed:1 would:2 contains:1 γi:4 france:2 few:2 themselves:1 achieving:2 more:1 iit:1 formally:1 relay:1 r5:1 anticommuting:1 becomes:1 industrial:1 berlin:1 antennas:4 iii:3 exposing:1 md:1 ρi:1 ml:29 originally:2 work:2 radon:1 values:3 concepts:1 following:9 trans:4 γki:3 example:3 x4i:2 proof:4 colocated:1 council:1 stated:2 organized:1 high:1 minimum:4 performed:1 degenerate:5 allowed:1 yα:1 information:1 seattle:1 requirements:2 notation:1 s2:5 s1:5 maps:1 reducible:4 fourth:2 sundar:7 map:5 product:12 blocks:1 algebra:33 replacing:1 earlier:1 rmax:3 consequence:1 tjeng:1 multiplication:6 representations:29 fn:12 natural:4 third:2 author:1 explicit:1 element:6 inform:5 complexity:4 so:2 x2q:2 definitions:1 order:1 operations:2 eigen:1 developed:1 over:21 find:5 satisfied:4 interpreted:1 symbols:7 paper:10 through:2 differs:1 itw:1 still:1 ieee:8 its:2 before:1 solitary:1 group:40 thank:1 chosen:2 actually:2 squaring:3 complex:14 x1q:2 main:1 defining:1 lx:8 arguments:1 maximal:11 freeman:1 non:9 good:1 thereby:1 introduce:2 framework:6 stbcs:14 they:4 symposium:1 now:6 easily:5 term:1 name:1 courses:1 xy:1 2a:9 each:5 found:2 difficult:1 associative:2 differential:1 weight:11 doing:1 ed:1 eg:1 designs:5 literature:2 our:2 operation:1 ring:6 special:4 out:1 shown:4 matrix:25 space:12 furthermore:2 since:6 denotes:5 may:1 investigation:1 denoted:6 illustrate:1 issue:1 ece:4 nonorthogonality:1 theory:10 karmakar:5 emr:1 diagonal:4 standard:1 reason:1 base:1 york:1 put:2 likelihood:2 jafarkhani:2 mimo:2 r4:1 definition:7 r1:1 r2:1 r3:1 times:2 a4n:1 int:2 adrian:1 hence:4 first:24 ding:1 xk:1 xi:2 ntroduction:1 kanpur:1 simply:5 guan:1 variables:15 coding:2 number:6 tirkkonen:5 set:13 simplified:1 relations:5 directly:1 array:2 precisely:2 size:1 ordinate:1 given:16 necessarily:1 checked:1 reference:1 similarly:4 introduction:2 construct:4 their:2 rates:1 listed:1 statement:2 low:2 explanation:9 because:3 authors:3 x2:3 x3:2 july:1 x1:4 representing:1 than:1 coefficients:1 finitely:1 cyclic:1 double:1 zero:1 were:6 india:3 treated:1 generality:1 spectrum:1 constellations:1 clif:10 fail:1 ari:2 need:3 seek:1 any:4 viewed:2 constructions:6 computationally:1 depending:1 partly:2 jacobson:1 note:4 take:3 transmit:4 channel:7 gδ:16 multiple:2 though:2 gλ:3 prohibitive:1 algebraic:18 said:1 germany:1 but:4 representation:48 pair:3 δki:5 measured:1 class:3 appear:2 constructed:2 especially:1 mobile:1 clear:1 partition:2 patil:1 2nd:1 ways:1 proceedings:6 yong:1 tech:1 principle:1 section:17 fact:1 supported:1 tarokh:1 ki:10 spaces:1 radio:1 trivial:2 networks:2 ncc:1 based:13 knowledge:2 distributed:4 state:1 should:9 jan:2 lemma:2 only:5 explicitly:3 generators:1 x4:3 equipped:2 a2n:2 abelian:3 subspaces:1 abba:9 get:2 vary:1 october:1 words:3 ali:1 applying:1 aλ:9 represented:1 him:1 approach:2 arxiv:2 suggested:1 source:1 mapped:1 multiplying:1 constructing:1 exists:1 national:1 module:8 up:1 observed:1 see:1 result:2 discussions:1 recently:4 constellation:1 permuted:2 satisfying:5 tensor:9 monoid:1 currently:1 rings:5 written:3 smallest:2 invariant:1 conditions:12 available:7 csir:1 terms:5 do:1 x1i:3 restricting:1 however:5 endb:1 here:1 distinguish:1 recall:2 minimizing:1 essentially:1 x2i:2 many:1 taking:2 equal:1 personal:1 zafar:1 decodable:24 jersey:1 otherwise:1 among:1 ci:4 co:2 cl:1 stbc:3 ca:2 eferences:1 dimensional:2 xβ:1 exploit:1 grants:1 anti:1 cs:2 moreover:2 2nt:1 code:16 pp:8 described:3 transformations:1 second:2 basis:3 addition:2 springerverlag:1 been:8 quickly:1 defined:1 spread:1 basic:2 noncoherent:1 algebras:10 abstract:1 field:3 diversity:3 pimrc:1 embeddable:1 hurwitz:1 sufficient:8 bnl:1 subspace:1 observe:1 c3:13 decodability:3 c1:14 denote:1 c4:13 case:6 13th:1 multi:3 placing:1 engineering:1 value:3 will:8 serre:1 unitary:10 vol:5 vi:2 metric:1 thus:11 them:1 iv:3 ii:3 itself:2 im:2 turns:1 ernet:2 binary:2 grant:1 generic:1 belong:1 same:2 wherein:1 parts:2 split:1 finite:15 higher:1 independent:1 used:3 v1:3 v2:3 identity:3 subgroups:1 expression:1 well:2 obviously:1 without:2 solve:1 i2m:1 sets:4 jean:1 dimension:6 comprise:1 left:1 calderbank:1 proposed:10 a2λ:1 obtain:6 rest:1 previous:4 cuw:24 interestingly:1 readers:2 alternate:1 had:1 except:2 reasons:1 interested:5 easy:2 theorem:7 input:1 apart:1 generalized:1 real:25 possible:2 atmost:2 finding:1 know:1 background:1 using:10 unique:1 advanced:1 formal:1 loss:1 necessary:3 like:2 follows:10 signal:6 performing:1 specific:1 communications:3 δj:2 δk:8 δi:4 multiplicative:1 output:1 reduced:1 δa:2 mathematical:3 right:7 classical:1 some:3 pierre:1 respect:2 provided:8 cnt:1 dimensions:1 illustrated:1 nonempty:2 shall:1 per:3 manipulations:1 does:1 prof:1 x3i:3 proc:1 minimal:1 refer:2 conference:1 scientific:1 june:2 equivalent:5 arbitrary:1 symp:2 yuen:1 khan:1 imaginary:1 isit:2 commutative:6 tatement:1 anything:1 column:7 discussed:2 restate:1 introduced:3 sept:2 block:8 chengdu:1 previously:1 into:9 down:1 nothing:2 appropriate:2 square:4 formulate:1 area:1 there:6 question:2 transform:1 decode:1 start:1 workshop:1 maximumlikelihood:1 liang:1 was:5 function:1 form:5 extended:10 rajan:11 wireless:2 repeated:1 construction:24 repeatedly:1 partitioning:1 made:1 wise:1 iisc:3 maximum:10 us:4 below:1 problem:9 similar:3 called:9 detailed:1 later:1 ai:4 certain:2 ak:1 am:2 general:5 aq:1 single:7 research:3 chau:1 corresponding:2 commuting:1 check:1 physical:1 codes:33 antenna:2 no:8 whereas:2 when:3 application:1 other:9 spatial:1 department:2 nt:7 applications:1 nice:2 briefly:2 elements:7 symbol:17 problems:1 a1:4 generated:3 a2:1 variable:1 structure:1 acknowledgment:1 independently:2 partitioned:1 assume:1 required:6 notion:1 time:10 once:1 |
0704.2508.txt |@word partial:1 gr:2 chain:1 switched:2 closedness:1 magnetic:2 scalar:1 grateful:1 follow:4 primes:1 consider:1 preserves:1 calculate:1 technique:2 elliptic:8 under:3 atlas:2 worth:1 applied:4 straightforward:3 very:1 staticity:3 choice:2 fab:8 exact:1 condition:1 wa:8 turns:1 solution:5 solved:1 vector:10 iba:1 small:1 commented:1 programme:1 zm:2 force:1 zi:3 zj:1 ψi:2 direct:1 sign:3 second:11 substitute:1 linear:1 even:1 aba:1 sub:3 section:12 contracted:2 favour:2 expressed:2 goes:1 new:1 method:1 satisfy:1 einsteinmaxwell:2 respectively:1 residual:2 here:2 herlt:1 quite:1 equations:49 change:4 differential:1 obtained:2 thirty:1 difficulty:1 institute:1 allows:1 published:1 suitable:5 via:1 useful:1 projection:1 classification:1 extra:3 apr:1 polonica:1 apply:6 derivatives:2 use:2 takes:1 would:2 positive:1 next:3 ψj:5 ψk:4 wj:7 explicitly:1 call:1 therefore:4 possible:1 more:1 duality:1 becomes:1 inherited:1 known:1 hole:2 must:4 account:1 recall:3 equation:18 mn:4 det:2 mj:1 following:7 example:5 proof:1 dxi:3 calculation:1 purposes:1 pieces:1 dxj:2 tab:10 uab:1 dk:8 e2u:11 chru:2 rescaling:2 inheritance:1 discussion:1 holds:3 feature:1 write:3 how:1 instead:1 sin:1 isn:2 ζa:7 nonconstant:1 may:6 ζi:6 ζj:2 ζk:6 levi:1 stress:2 bianchi:3 st:2 so:17 definitions:1 order:24 six:1 satisfied:1 years:1 paper:1 including:3 differs:1 satisfies:3 still:3 its:2 before:4 fit:1 relativity:1 lj:3 lk:11 coordinates:16 li:9 complex:1 systems:1 mail:1 split:1 non:20 return:1 conversations:1 material:2 introduce:9 pjb:3 they:1 acta:1 oxford:2 rotation:1 now:10 nor:1 2u:39 february:1 inheriting:19 spacetimes:1 2e:13 2a:3 found:2 soc:2 2h:3 side:2 domain:1 square:1 energy:2 ea:15 eb:2 static:27 expect:1 eu:2 our:3 out:1 shown:1 accomplish:1 space:3 since:6 math:1 shows:2 theory:2 b36:1 divergence:4 standard:3 indices:4 proportionality:1 put:2 definition:7 recovering:2 impose:2 counterpart:1 derivations:1 retain:1 first:17 xk:2 already:2 symmetry:8 variables:3 xa:5 carry:1 given:6 necessarily:1 checked:1 reference:1 introduction:1 unknown:1 iaf:1 system:23 least:1 their:2 assumption:4 too:1 dt2:1 john:1 tod:3 gives:1 gia:1 part:5 authors:1 eliminated:1 than:1 showed:2 horizons:4 require:1 aai:1 zero:6 sciel:2 iωi:2 decompose:3 generality:2 hagen:6 argument:1 lba:2 say:3 need:1 seem:3 recover:5 seek:1 any:6 convenient:1 latter:1 able:1 aside:1 note:5 potential:1 timelike:1 xi:2 begin:1 electric:2 though:3 metrics:1 simplify:2 fcd:1 plan:1 awi:1 awc:1 why:1 kb:5 ka:2 don:1 considered:1 phil:2 physica:1 poynting:1 camb:2 left:1 χk:1 review:3 fact:4 show:2 obtains:1 gauge:3 solutions:22 civita:1 find:6 highest:1 should:2 analytic:20 only:5 going:1 black:3 ambiguity:2 factor:1 stephani:1 dn:1 dl:1 dm:6 dj:19 above:1 notation:1 di:19 familiar:3 maccallum:1 dv:1 hij:17 du:4 fields:2 arxiv:1 consisting:2 aea:1 qc:2 contain:2 through:4 set:5 exists:1 ricci:4 imposing:1 edition:1 see:4 college:1 result:2 λi:2 subject:1 surfaces:1 satisfying:1 tensor:8 pattern:1 away:1 ωk:8 written:3 closed:8 noting:1 neither:1 conditions:1 across:2 available:1 terms:8 wb:3 extend:1 wk:4 however:1 wi:16 killing:10 jl:1 jm:1 jk:13 distinguish:1 article:4 amer:1 restrictions:1 cos:1 region:1 cup:1 contract:1 argue:1 solving:1 co:3 conclude:3 cb:1 harmonic:13 insist:1 cd:2 dimensional:1 simply:1 ae:3 complication:1 raise:4 e4u:1 qij:2 three:2 laplacian:2 pb:1 ai:6 dropping:2 basic:1 ak:4 define:1 generating:1 corresponding:4 both:5 sufficient:1 folklore:1 derivative:2 careful:1 gab:12 present:1 case:17 ǫi:5 will:2 cast:1 while:2 applies:1 aid:2 property:1 taking:1 inherits:3 seven:1 2ui:1 metric:7 thus:3 comoving:2 ik:1 ij:24 rij:12 against:1 vanish:1 piotr:1 different:2 null:1 degenerate:3 same:1 φa:3 parts:2 arguments:2 fairly:2 used:1 slightly:2 hoenselaers:1 assist:1 hand:2 potentials:1 invariance:2 identity:5 acknowledgement:1 inherit:1 without:4 sets:2 coordinate:3 drawing:1 usual:1 permissible:1 just:5 being:2 kramer:1 obtain:6 rest:2 sources:1 transforms:1 using:2 λk:2 uller:6 paul:2 previous:1 enters:1 field:12 seems:1 source:1 extends:1 easy:1 theorem:19 remaining:1 momentum:2 real:5 rescaled:6 secondorder:1 term:1 af:2 know:1 vacuum:12 immediately:1 loss:2 necessary:1 like:2 follows:2 either:2 become:5 stationary:23 reduced:1 mathematical:1 right:5 deal:1 some:4 examples:1 rkm:1 proofs:1 morrey:3 nonzero:1 electromagnetic:1 shall:8 kmi:1 does:8 eliminate:1 proc:2 ba:12 power:1 rescale:1 imaginary:1 carried:1 freedom:1 theorems:1 horizon:1 connected:2 introduced:1 consequently:1 zum:6 raised:3 cambridge:1 maxwell:37 into:9 johns:1 ηk:1 ηj:2 ηi:2 references:1 been:3 einstein:35 proportional:2 prepare:1 assumed:2 strictly:17 there:10 specifically:1 strict:1 pa:4 way:3 was:1 function:2 form:9 reduce:1 but:12 lowered:2 conventions:2 true:3 raising:1 he:2 whether:2 up:1 ωi:17 below:1 ωj:9 ui:2 uk:1 uj:2 problem:1 ua:1 ub:4 aa:1 ac:1 ab:2 constant:9 classic:1 defined:1 pia:5 abstract:1 aj:4 am:1 doesn:2 general:2 dζ:1 curl:3 identities:1 check:2 2du:1 analyticity:6 stationarity:1 when:3 vanishes:1 application:1 dt:1 details:1 spatial:1 nonexistence:1 kinds:1 symbol:1 ξi:2 ξj:3 a2:4 uba:1 ξa:1 ago:1 implies:3 assume:3 4u:5 holes:1 together:3 χj:7 χi:7 time:6 firstorder:1 4e:2 |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.