text
stringlengths 0
190k
|
|---|
0705.2490.txt |@word essay:1 represent:1 concept:1 partial:1 remarkable:4 rev:7 magnetic:1 desirable:1 four:8 scalar:11 latter:2 go:2 gn:1 b268:1 inverse:1 young:1 gab:5 charge:6 weyl:1 reissner:2 th:2 under:1 include:1 ingredient:1 string:6 very:1 rise:1 electron:1 witten:1 hµν:2 leads:1 school:1 riemann:2 bring:1 did:1 turns:2 solution:12 solved:1 torii:1 round:1 upper:1 facilitating:2 boulware:1 ten:1 direct:2 sign:2 second:6 value:1 further:3 cft:3 linear:3 even:2 aim:1 what:3 trapping:1 implosion:1 diag:1 establishes:1 8πgn:1 international:1 acknowledgments:1 deser:1 κn:1 full:1 christian:1 respectively:1 component:1 here:5 understanding:1 address:2 strong:1 obtained:1 waseda:2 parameters:5 institute:1 involved:1 experience:1 leaving:1 stelle:1 action:6 hospitality:1 makes:2 uniquely:2 formulated:1 bertolami:1 extra:9 maldacena:1 areal:1 establish:1 unit:1 quasi:1 asymptotic:5 would:2 d75:1 remains:3 positive:3 contains:1 forcefully:1 sports:1 classically:1 nucl:3 sitter:2 therefore:2 reciprocity:5 iteratively:1 flat:6 nkd:1 duality:1 brings:1 om:2 curvature:25 everywhere:1 known:2 hole:15 keeping:1 tokyo:3 science:2 equation:16 created:3 lukas:2 mj:1 cai:2 ishihara:1 following:3 making:1 example:5 nearest:1 cosmological:2 give:2 process:1 relativistic:1 india:1 b169:1 agent:1 states:1 lorentz:1 numbers:1 tab:1 allowed:1 miyamoto:1 information:1 vanish:1 polchinski:1 papadopoulos:1 six:2 feature:3 reside:1 write:1 how:3 pure:7 parameter:1 tension:1 product:1 rαν:1 description:2 may:4 earlier:2 derived:1 different:1 diagram:1 produce:1 cambridge:4 constants:1 stress:2 natural:1 third:1 resemble:1 so:5 order:6 gµν:3 acts:1 produces:3 indeed:4 over:1 facilitated:1 already:1 experimentally:1 argued:2 japan:4 still:1 its:8 thank:1 ıficos:1 interesting:3 relativity:1 estudios:1 gen:1 absence:2 offers:1 gtt:2 fig:2 derivative:2 main:1 correspondence:3 them:1 greater:1 propose:1 framework:2 they:1 singularity:3 now:1 realize:1 chromodynamics:1 accommodate:2 february:1 profound:1 fully:1 university:6 identified:1 l2:1 l0:1 l1:1 entirely:4 characterized:2 prohibit:1 differential:3 england:2 iucaa:1 approximates:1 joined:1 static:4 quantum:1 our:5 happen:2 beyond:1 event:1 out:6 shown:1 space:8 restricted:1 rep:1 since:1 lagrangian:2 publish:1 research:1 playground:1 sloan:1 rn:2 math:2 smatter:2 theory:8 free:4 quite:1 admits:1 completely:2 formation:2 r4:1 pune:1 interaction:4 r0:1 r2:2 r3:1 geometry:2 could:7 noted:2 motion:1 rrµν:1 hence:1 waldram:2 suffice:1 first:10 origin:5 initial:1 radical:1 linking:1 bonnet:15 dadhich:5 electronic:2 given:3 similarly:2 introduction:2 rong:1 construct:1 their:1 too:1 kanti:1 realization:1 gives:1 collapse:1 schwarzschild:2 distribution:1 albert:1 authors:2 branches:2 representing:1 than:2 require:3 iteration:4 zero:1 matter:31 determined:1 interactive:1 rezania:1 correction:1 need:1 curved:1 null:6 demonstration:1 dynamics:2 self:5 able:1 gravity:27 mechanism:2 note:3 take:2 scientists:1 creatures:1 infalling:1 trace:4 though:3 any:6 centro:1 regular:1 gauss:14 pair:1 why:2 clear:1 curvatures:2 principle:3 usual:3 physics:2 fact:1 ovrut:2 supported:1 golm:1 discovered:1 purely:2 wiltshire:1 gauge:1 solutions:3 diverge:1 impact:1 spite:1 should:6 only:5 black:15 integrate:1 kaluza:9 pointed:1 dn:1 do:2 klein:9 means:4 familiar:1 de:3 stop:1 fluid:1 prohibition:1 truly:1 cannot:2 new:3 penetrate:1 maartens:1 ds:2 evolution:1 arxiv:1 bag:1 shi:1 homeomorphic:1 set:1 lovelock:4 exists:1 ricci:1 physically:1 gµ:1 observed:1 culture:1 depends:1 result:2 existence:1 recently:2 theoretic:2 wonder:1 schwarzshild:2 gravitation:1 tensor:3 b368:1 distinctive:1 definite:1 rikkyo:1 symmetric:2 enough:2 won:1 between:4 invariant:1 boundary:2 terms:4 creating:1 positron:1 jp:1 however:9 vanishing:1 key:1 come:1 heterotic:1 jb:1 motivations:1 both:2 prescription:4 resides:2 always:1 rµανβ:1 admit:1 dated:1 embedding:1 contribution:4 expression:1 experimental:1 arbitrarily:1 point:1 asymptotically:3 hideki:3 dimensional:20 superstring:3 anti:2 coordinates:1 iterations:1 polynomial:3 masato:1 considering:1 described:2 source:6 create:1 locally:1 been:1 cient:1 basic:1 undetermined:1 tµν:2 embeddable:1 lgb:6 quantities:1 formed:2 bulk:1 fund:1 whatever:1 lives:1 chile:1 demand:2 c2:5 c1:5 former:1 present:1 case:7 novel:1 pacs:1 nordstr:1 empirical:1 evaluated:1 ministry:1 will:5 while:4 shall:2 aid:1 conformal:1 vf:2 endowed:1 metric:8 thus:12 non:1 itself:2 confining:1 dual:1 b487:1 ernet:1 technology:1 gaussbonnet:3 containing:1 education:1 grant:1 perhaps:1 make:1 radiation:2 clearly:2 split:3 schematic:1 mitaka:1 gets:1 higher:8 maeda:4 comprehensive:1 upon:1 hand:1 vaidya:4 arose:1 osawa:1 dust:6 b291:1 weakly:1 spacetime:39 well:4 without:5 consistency:1 indicative:1 dimension:11 charged:5 mtheory:1 r02:3 4rµν:1 being:2 rµν:1 press:2 spherically:2 adv:1 ads:17 seems:1 except:1 rµνρσ:2 other:5 lett:4 theorem:1 flowing:1 momentum:1 generalized:1 nozawa:1 represents:1 big:2 decomposed:2 term:6 admitting:1 five:2 harbour:1 inflowing:1 vacuum:5 confined:1 world:1 advanced:1 like:7 success:1 envisioned:2 follows:1 specific:1 b475:1 arbitrary:3 simply:1 inter:1 because:1 classical:4 creation:7 born:1 wesson:1 provided:1 dimensions:6 bento:1 centre:1 isometrically:1 integration:2 comments:1 does:1 decomposition:2 transmitted:1 refer:1 manifesting:2 scientific:1 γab:1 equivalent:1 bw:1 prohibited:1 casilla:1 post:1 hilbert:2 hoˇrava:1 cecs:1 anything:1 constraint:6 universe:2 o:1 ensure:1 horizon:2 introduced:1 valdivia:1 equally:1 contractions:1 presence:2 h2:2 maxwell:9 into:2 negative:4 down:3 square:2 einstein:14 αh:1 bosonic:1 hep:2 m4:6 support:1 there:10 question:4 quadratic:6 low:1 way:2 astrophysics:1 exceptional:1 was:4 energy:2 m0:2 function:1 brane:1 but:3 volume:1 construction:1 hm:1 highest:1 true:1 gravitational:12 up:3 limit:6 demonstrate:2 problem:1 ac:1 constant:11 defined:1 abstract:1 general:5 engineering:1 exist:1 formulation:2 work:1 physical:2 emanates:1 functions:1 grr:1 weakened:1 no:9 vanishes:1 graduate:1 field:14 valid:1 overduin:1 department:2 κ2n:1 theor:1 wheeler:1 gross:1 time:1 radially:3 variation:1 develops:1 important:2 spivak:1 included:3 astronomy:1 implies:1 coupling:2 using:1 together:1 original:1 perish:1 mass:3 resembles:1 requires:2 having:1
|
0705.2491.txt |@word consider:5 chain:4 caused:2 mns:1 results:10 neurosci:2 overlap:11 consists:1 follow:1 devoted:1 whose:4 calculate:5 shrinkage:1 tl:1 okada:5 th:1 stable:2 stochastic:1 overlaps:7 belonging:6 synchronized:1 activation:11 springer:1 focus:4 figs:1 difference:9 condition:3 school:1 aronov:2 t0:9 vector:5 science:3 shows:6 20th:2 smaller:3 consistent:3 pulse:7 throughly:2 astrophys:1 rate:37 value:11 dynamics:5 even:2 index:3 what:1 appear:1 sum:3 bergman:2 current:7 excitatory:7 method:16 satisfy:1 layers:4 presynaptic:1 respectively:8 equals:1 here:15 reported:5 groups:2 address:3 change:5 obtained:5 kistler:1 institute:1 study:1 studied:9 suggests:2 chang:1 studies:2 regardless:2 divide:2 seven:3 vil:2 decrease:1 apply:1 total:7 planck:19 use:3 takes:6 intensively:2 remains:2 positive:1 negative:1 generate:3 call:2 therefore:5 memory:52 timing:19 leaky:2 until:1 more:5 tices:1 becomes:3 under:6 known:1 iil:11 aligned:1 iii:1 account:1 join:1 tokyo:2 ml:11 equation:4 work:1 mv:2 values:3 ms:19 following:3 challenging:1 figure:9 indicates:1 numbers:1 made:1 absolute:2 information:1 discussion:2 mehring:1 enlarge:1 how:3 answer:1 reyes:1 axis:5 explains:2 stock:1 inputs:3 description:1 may:1 max:1 after:2 derived:1 confirmed:2 diagram:2 fi:1 horizontal:3 response:1 imply:4 light:2 lines:9 element:2 so:1 amit:2 order:2 ith:5 cybern:2 over:1 mainly:1 stability:1 brain:2 paper:6 signs:1 mentioned:1 japan:2 satisfies:1 activating:1 its:2 before:1 group:1 vth:6 temporal:1 decreases:1 attraction:5 fig:23 them:1 widely:1 matches:1 introduce:2 vitro:2 ξil:17 half:2 discuss:1 synaptic:9 represents:1 february:1 2p:3 parameter:2 university:1 2f:9 firings:5 each:15 associative:14 mean:3 homogeneous:2 differential:1 fired:1 there:2 idea:1 inhomogeneous:2 fires:3 our:4 eq:11 shown:3 network:43 frontier:1 since:1 rev:2 research:2 increase:2 size:2 cause:3 kazuya:2 earlier:1 standard:4 beginning:1 synfire:11 rewritten:4 ministry:1 times:2 promotion:1 resetting:1 top:1 first:16 feed:1 already:1 enlarges:2 probability:4 encoding:1 number:19 reaches:1 restrict:1 biol:2 electronic:1 researched:2 ξjl:1 given:1 silent:1 indicate:2 introduction:1 eqs:9 priority:1 their:3 rates:15 white:3 park:1 horn:2 than:7 observed:1 petrosian:1 namely:1 tref:5 future:1 contrary:4 amplitude:1 m2:10 shrinks:1 say:1 need:1 seem:1 lif:12 strength:10 min:1 pa:2 able:1 sciences:1 potential:10 margalit:1 transmit:1 coincide:1 regard:2 multiple:2 consistency:1 convoluting:1 connected:15 why:1 inhibitory:5 deviations:1 flow:3 exp:14 combinations:1 effect:2 section:5 show:5 supported:1 synchronous:25 oja:1 threshold:2 networks:14 fifth:2 ratio:1 parameters:1 liberman:1 written:1 elucidated:2 should:2 only:6 black:2 integrate:2 local:1 do:1 means:12 between:8 ones:6 report:1 during:1 dt:4 meir:1 subscript:1 areas:1 gray:4 spikes:16 approach:1 arxiv:1 summary:2 spiked:1 activity:16 analytical:1 gutfreund:1 fixed:1 gerstner:1 set:8 burst:1 packet:4 maximum:5 connections:12 culture:1 depends:2 sompolinsky:1 result:5 existence:3 sparsely:11 satisfying:1 capacity:7 αt:1 pattern:67 propagates:3 enough:1 various:1 jth:1 membrane:11 propagated:6 boundary:1 conditions:1 across:1 speed:1 suppresses:2 yuste:2 ability:3 vertical:5 nature:3 comp:5 attention:1 jp:1 however:2 implementing:1 densely:8 analyzed:1 modeling:1 suppressed:1 distribution:4 both:3 many:1 region:4 according:4 propagation:7 connection:7 layered:10 dated:1 embedding:1 tli:2 whole:2 experimental:1 among:1 simple:1 diesmann:2 homogeneously:1 simply:1 learning:1 associated:2 throughout:3 masato:1 described:6 second:4 been:7 abeles:6 much:1 pf:1 expected:1 basin:4 define:7 resting:1 fire:7 suppress:3 1ms:1 excite:1 observe:2 external:1 fokker:19 those:4 aid:1 case:11 inhibit:2 aaron:1 splits:2 pacs:2 solid:6 nd:1 profiles:1 promotes:2 will:1 receive:1 error:1 promoted:2 sublattices:30 taking:1 synchronously:2 layer:36 larger:4 jpn:1 neuron:13 thus:1 iv:20 ii:1 neurons:29 technology:1 currents:3 binary:2 different:13 grant:1 pay:1 recurrent:2 same:9 sparseness:5 split:1 schematic:2 several:1 evolve:1 investigated:1 see:1 i0:13 conversion:1 hand:1 hopfield:1 potentials:1 normalization:1 neural:10 well:3 analysis:2 patterns:20 dashed:6 model:2 they:1 less:1 when:27 hands:1 shape:2 virtual:4 aihara:3 summed:1 macroscopic:1 previous:1 feedforward:4 seems:5 add:1 belongs:1 input:32 bio:1 iξ:1 situation:2 neurophysiol:1 dark:2 increases:2 inhibition:1 amari:2 clustered:1 using:6 riken:1 iξl:6 vertically:2 like:2 rossum:1 follows:6 temporally:1 cooper:2 superiority:1 either:1 sparse:4 always:2 become:1 stationary:1 because:3 meunier:1 interact:1 some:1 understood:1 hebbian:2 dense:2 denseness:1 pnas:1 bottom:1 affects:1 µth:2 per:7 ishibashi:2 does:2 propagating:1 chains:8 prob:1 noise:2 scientific:2 elucidate:1 processing:1 conventional:2 sports:1 although:1 nips:1 trials:1 noisy:1 bars:1 coexist:1 firing:41 pξ:1 o:3 simulation:5 mutually:2 equalize:1 calculating:1 propagate:8 yanai:1 other:6 soc:1 cambridge:2 previously:4 into:4 numerically:1 functional:1 suppl:1 activate:1 balanced:1 proportional:2 next:2 theoretically:1 initial:1 question:2 specifically:1 fully:2 accordingly:1 describes:1 way:2 forward:1 m1:13 analyze:2 was:1 m0:5 function:4 hamaguchi:5 spike:2 but:10 gaussian:2 volume:5 promote:3 partially:1 reset:2 iteratively:1 embedded:3 whether:3 transmits:1 up:4 vivo:1 limit:1 dv:1 embed:3 similar:3 called:3 averaged:1 hz:11 ac:1 constant:2 defined:1 certain:1 abstract:1 describe:4 denote:1 single:4 exist:1 simulations:1 education:1 distributions:2 constructed:4 discriminate:1 no:6 spiking:6 nc:1 storage:6 cˆ:1 sublattice:18 graduate:1 acknowledgments:1 valid:1 role:2 details:1 shrink:1 deviation:2 elements:2 excitation:1 preceding:1 enlargement:1 important:1 peak:3 suppression:1 neuroscience:1 risken:1 independently:1 domany:1 netw:2 dτ:1 packets:4 rule:1 inhibited:1 nelson:1 volumes:1 time:11 once:1
|
0705.2492.txt |@word concept:1 partial:1 consider:5 chinese:2 induces:1 erations:1 thomas:1 leads:1 ebene:1 commute:1 ga:4 homomorphism:1 primes:1 gr:10 utrecht:1 ihes:2 depend:1 tx:2 paris:1 stably:1 icy:1 uniqueness:1 icx:4 those:2 alg:1 worth:1 p2:2 conjecture:2 comm:1 g2:6 straightforward:2 shpilrain:2 far:1 rise:1 springer:1 corollary:2 decide:2 condition:7 immediately:1 irreducible:30 notes:1 list:3 application:1 computation:9 dealing:1 direct:2 zero:6 zx:1 reine:2 theory:2 even:1 aim:1 stands:1 section:10 near:1 version:1 sur:1 degs:4 method:1 groupe:1 multivariate:3 nullstellensatz:1 led:1 respectively:1 residual:4 here:2 reported:1 groups:2 transformationen:1 lex:8 along:1 z1:2 deduced:1 box:2 remark:1 division:1 involved:2 study:1 allows:1 commonly:1 action:2 deg:3 makes:1 cancellation:1 sci:1 uniquely:1 classification:1 slices:2 vii:1 unit:13 derivatives:1 additive:1 working:1 prove:5 remains:1 positive:2 marrakech:2 contains:10 france:1 comparing:3 trivializing:1 tm:1 call:1 therefore:5 criteria:2 means:3 more:3 israel:1 semlalia:2 triangulable:24 particular:4 known:1 cases:2 hold:6 iii:3 must:1 account:1 ma:2 recall:1 der:2 work:1 mi:2 theories:1 obvious:2 den:4 mr:4 following:20 trans:2 root:2 example:4 proof:14 f1:9 f2:8 give:4 expanding:2 parametrizing:1 states:1 contradicts:4 o:2 νi:3 verlag:1 information:2 needs:1 gcd:8 afk:2 s2:2 s1:6 s0:15 centralizers:1 write:36 how:4 nontrivial:1 criterion:3 pure:4 hi:7 parameter:1 lam:1 fr:4 algebra:17 may:23 different:1 plane:2 kaliman:3 faculty:2 multiplication:1 arch:1 constants:3 proceeds:1 natural:2 imply:1 explicit:1 element:5 si:6 cannot:1 so:26 hassan:1 order:9 separable:1 holds:2 xlim:1 produces:5 indeed:3 over:12 furnishes:1 paper:7 y1:4 existence:1 satisfies:5 avenue:1 its:6 sciences:3 du:1 group:5 jung:1 affine:7 exhibits:2 actually:2 forms:3 absence:1 degrees:2 choose:4 mail:3 main:3 h0:1 maximal:1 closure:1 non:3 greater:1 material:1 autk:8 functional:5 yx:1 yz:1 they:2 now:10 yu:2 discuss:1 mystery:1 easily:1 2v:1 equality:2 2s:1 always:1 corank:2 applied:1 xy:5 qx:1 found:3 universit:1 subset:2 el:21 domain:3 square:1 doing:1 reduce:1 product:2 used:2 variety:1 our:8 triangulating:1 special:1 out:1 essen:4 space:2 since:20 crucial:2 mate:1 denoted:4 lecture:1 induced:1 induction:3 math:10 shows:10 bass:3 associate:1 divergence:1 free:3 release:1 subalgebras:1 remainder:1 definition:1 derivation:61 phrases:1 could:2 nonnegative:1 length:3 derivations:32 consequence:6 first:2 degp:1 xi:6 xn:14 degu:2 u1:8 variables:11 symbolic:3 number:1 rank:38 xz:2 intuitively:1 ℓi:6 4g1:1 relations:1 another:2 cadi:2 ring:16 noticed:1 maple:1 subring:2 given:16 checked:2 their:2 introduction:1 top:1 structured:1 system:37 least:1 needed:2 assumption:4 encyclopaedia:1 fn:8 zxy:3 gives:6 ganze:1 exactly:2 serve:1 required:1 x2:7 x3:2 x1:23 than:1 coefficients:2 finitely:1 namely:3 submitted:1 claim:1 matter:2 determined:1 pairwise:3 dutta:2 distinguished:1 comput:1 generality:6 curves:1 say:3 angew:2 additif:1 need:4 clearly:4 viewed:3 shestakov:1 computationally:1 built:1 depending:1 efficient:1 complexity:1 note:1 extracted:1 ideal:23 concerns:1 generalized:1 jacobian:3 finding:1 algorithms:2 techniques:1 memory:1 cnrs:1 towards:1 multiple:2 established:1 albert:1 systems:1 birkh:1 algebraic:9 plan:1 automorphism:3 bh1:2 appear:1 considered:2 clear:4 proceedings:1 kp:2 exp:2 gathen:1 wiskunde:1 umirbaev:1 fact:20 uottawa:1 show:3 reductions:2 relation:3 substituting:1 µg1:1 trivial:2 find:3 principal:5 q1:17 q0:1 q2:2 based:1 implementation:1 miyanishi:2 basel:1 state:2 topological:2 should:1 lemma:22 only:13 bases:1 factor:5 local:34 jac:9 do:1 notation:1 get:15 de:1 obner:10 rest:1 words:1 progress:1 applying:1 written:1 dr:1 prime:5 fields:3 arxiv:1 qa:1 investigate:1 qd:3 contain:1 qi:7 qh:1 fixed:3 bak:3 view:4 kernel:3 set:1 modulo:4 computed:2 exists:19 see:14 computer:1 result:13 w1:5 terms:1 subject:1 surfaces:1 amalgamated:1 satisfying:1 µx:2 µu:1 rings:5 enough:1 zx2:2 µi:5 closed:3 invariant:3 conditions:1 µc:1 available:2 notice:6 wd:4 recently:1 nature:2 importance:1 points:2 however:2 le:1 hypothesis:1 key:1 amer:3 both:2 dates:1 last:1 many:4 taking:1 according:12 σx:2 uni:2 ck:1 ci:22 co:1 cn:4 characterization:4 ca:1 address:3 abhyankar:2 scientifique:1 cy:1 cx:1 coordinates:10 polynomial:42 moreover:9 throughout:1 algorithmically:1 pr:3 pp:2 commutative:5 basis:8 locally:69 three:17 defined:4 reduction:1 much:1 basic:2 pi:3 abstract:1 pm:1 generating:1 corresponding:1 sufficient:2 essentially:2 understand:1 nonconstant:3 c2:1 c1:62 denote:1 present:1 case:28 p1:7 invariants:2 will:8 euclidean:1 while:1 limanov:1 wild:3 situation:1 property:1 daigle:3 almost:1 von:1 thus:6 them:1 surface:1 ii:22 flatness:1 contradiction:1 rid:1 noetherian:1 containing:4 develop:1 fibers:1 make:2 belong:1 same:3 any:31 units:1 proved:3 finite:1 subalgebra:3 independent:1 extended:3 http:2 issac:1 laboratoire:1 hand:5 v1:6 purpose:2 php:1 mentioning:1 suffices:2 off:1 nevertheless:1 no:13 well:4 obviously:2 without:6 solve:1 english:1 coordinate:77 g1:7 dimension:20 subgroup:5 just:1 obtain:1 actions:5 integer:3 facts:2 univariate:5 intersection:1 preprint:3 family:1 generator:11 infinitely:1 nilpotent:69 auser:1 point:2 recognizing:2 wright:1 easy:1 theorem:31 transformation:1 big:1 possible:1 cn1:5 moh:2 know:1 press:1 using:5 unique:6 mod:11 loss:6 necessary:2 rossum:1 university:2 follows:2 reduces:2 popov:2 ayyad:2 automorphisms:7 yields:1 arbitrary:2 essential:1 factorially:3 mathematical:1 www:1 performing:1 classical:1 some:2 back:1 pacific:1 ideals:2 understood:2 deduce:4 examples:3 b2:4 respect:18 images:1 nonzero:5 vol:2 slice:39 cnr:3 umr:1 normal:2 ac1:1 does:2 decomposition:10 linearly:1 expressing:1 16s:2 minimal:23 cni:4 illustrate:1 algorithmic:4 bc:1 equivalent:5 each:2 ufd:8 nowhere:1 hilbert:1 zur:1 about:1 central:1 would:1 most:2 a3:1 acm:1 reduced:4 distinct:3 nieuw:1 op:1 soc:3 computational:2 makar:1 into:2 h1:12 integral:2 isomorphic:3 acad:1 references:1 embeddings:1 reducing:2 van:6 deal:3 walcher:1 assumed:2 there:25 question:1 tame:6 ixx:1 appl:3 way:4 was:3 naturally:1 form:24 converse:1 triangular:15 but:6 cedex:1 construction:1 line:2 hd:7 algebras:1 compute:3 iqx:2 whether:7 characteristic:4 miyata:1 up:2 us:16 dℓ:1 morocco:2 ui:3 problem:2 called:17 b1:1 uber:1 ac:3 taylor:1 constant:7 computing:5 ai:2 recognize:1 ak:2 am:2 kinokuniya:1 proven:1 general:4 proves:9 exist:5 ax:18 commuting:1 check:4 µpm:2 faithful:1 ingredients:1 when:3 illinois:1 field:4 other:7 details:1 department:2 mathematics:4 er:1 elements:1 generates:1 completes:1 polynomials:13 a0:4 generated:5 important:1 sides:2 structure:1 implies:7 algorithm:8 monic:4 assume:16 factors:1 berlin:1 4p:1 original:1 starting:1 having:3
|
0705.2493.txt |@word represent:1 consider:4 magnetic:1 results:10 gf:2 scalar:5 research:2 contributions:6 producing:1 nonlocal:13 finally:1 tk:2 4nc:2 text:1 kπ:4 amplitudes:1 very:3 connects:1 wave:2 electron:1 vaccuum:1 breit:1 experimentally:1 matrices:1 turns:4 developing:1 gatto:5 large:4 convenience:1 vector:7 science:1 small:1 apostolakis:1 smaller:3 semileptonic:17 kim2:1 consistent:1 zero:1 castro:1 qualitatively:2 linear:7 will:4 nonlinear:1 plays:1 stands:1 expressed:2 ecker:2 current:4 experiment:1 increasing:1 satisfy:2 fe0:7 respectively:5 virtues:1 address:2 deduced:1 obtained:2 buck:1 great:1 roos:1 leutwyler:4 cabbibo:1 institute:3 larger:1 funded:1 ignoring:1 amount:1 musakhanov:4 adjustable:3 projection:2 decrease:1 condensates:1 meson:5 m2π:8 linearly:1 use:1 would:1 fl0:5 phenomenological:1 depicted:1 qcd:3 taken:4 ψf:3 theoretical:4 more:1 successful:1 under:1 validity:2 tested:1 virtue:1 known:5 ward:1 iii:1 mg:1 mf:6 ml:2 equation:1 work:9 modified:1 reproduce:3 mq:13 ms:11 following:2 arrive:1 example:1 f0:2 figure:3 calculation:2 share:1 diakonov:1 involve:1 lorentz:1 numbers:1 νl:4 rather:1 s2:2 breaking:9 lepton:2 how:1 those:1 parameter:4 sin:1 upto:1 may:1 derived:5 treiman:10 corrections:2 fe:21 fits:2 fk:15 fl:18 fm:5 constants:3 dynamical:1 effective:3 facilitate:1 grant:2 appreciate:1 su:9 element:3 negligible:2 afanasev:1 verify:1 order:4 holds:1 over:1 becirevic:1 mainly:1 satisfied:1 interpreted:1 gauged:2 experiments:2 busan:1 mentioned:1 japan:2 satisfies:2 lg:1 derive:2 group:1 thank:1 fit:4 decay:23 fiz:1 8nc:2 boson:1 fruitful:1 mπ:1 fig:2 khlopov:3 good:2 combination:2 cplear:3 gasser:4 framework:6 effects:3 half:1 now:2 yu:1 discuss:1 fµ:6 yitp:1 dirac:1 university:4 fπ:15 l5:4 found:2 reproducing:1 goldstone:3 lat2005:1 krf:1 hyun:1 energy:10 related:4 decays:2 isospin:3 combining:1 our:4 eq:21 out:5 shown:4 matrix:4 factors:11 since:5 rev:13 shuryak:1 denotes:3 m2l:2 investigation:2 m2k:6 formula:1 ref:1 foundation:1 bijnens:1 theory:2 free:1 quark:12 perturbation:1 estimate:1 ntg:1 interaction:1 chiral:8 ministry:1 determining:1 hence:1 hadrons:2 first:1 initial:1 symmetry:8 channels:1 kaµ:1 precisely:1 electronic:2 size:2 given:3 dated:1 rewritten:1 similarly:1 introduction:1 leading:3 eqs:1 priority:1 quadratic:5 calculations:4 final:1 jlqcd:1 kµ:2 ch:6 inter:1 pnu:2 part:1 authors:1 than:3 pagels:1 distance:2 showed:1 fm2:1 tsutsui:1 collaboration:2 project:1 matter:1 determined:1 amplitude:1 were:3 symmetries:1 fluctuation:1 dynamically:1 argument:1 ka2:3 further:1 need:1 any:2 angle:1 lim:6 self:1 note:2 internal:2 take:1 so:2 trγ:1 completed:1 channel:1 begin:1 trace:1 bk21:1 neutrinos:1 maris:1 petrov:1 significant:1 analytically:1 kc:18 kb:22 ka:25 ckm:1 average:3 partition:6 kr:2 exp:1 physics:6 width:2 fact:1 slope:3 2pµ:1 show:3 jµ:1 supported:2 kwon:1 gauge:1 keywords:1 d4:9 data:6 find:1 q2:3 ratio:9 seung:1 parameters:3 should:2 only:5 explicitly:2 factor:15 local:1 dm:1 gev:1 get:1 dependent:2 account:6 progress:1 during:1 takahashi:1 colangelo:1 runs:1 brain:1 arxiv:5 summary:1 investigate:3 gell:1 set:1 computed:2 physically:1 national:3 langacker:1 comparable:2 culture:1 depends:1 radius:4 result:3 close:1 ke3:5 momenta:3 lee:1 roberts:1 nuclear:2 written:2 various:2 between:1 invariant:1 transfered:1 χqm:6 korea:4 terms:4 reproduced:1 importance:1 weak:3 jp:1 however:2 ji:3 jetp:1 distribution:1 gershtein:1 taking:2 imf:1 etc:1 vus:2 pdg:3 contribution:2 expression:2 mann:1 relevant:4 point:2 pos:1 decreases:1 moreover:2 moehrd:1 ct:4 considering:1 basis:1 been:2 lopez:1 yao:1 pk:16 ph:5 correction:4 pl:5 define:1 corresponding:1 kaon:22 θc:2 chul:1 observe:1 understand:1 external:1 general:1 spin:1 former:1 present:15 case:2 pacs:1 solid:3 expanded:1 empirical:1 value:5 employ:2 while:2 behavior:1 mitchell:1 loop:4 almost:4 refs:3 thus:2 instantons:1 iv:1 ii:1 il:1 pusan:5 technology:3 currents:2 different:1 verified:1 sensitive:1 government:1 radiation:2 same:2 unity:2 strange:1 emphasize:1 zeff:1 several:1 instanton:10 i8:1 investigated:1 numerical:4 i5:2 effect:2 kim:6 invariance:1 identity:1 center:1 pµ:3 no:3 well:7 without:1 experimental:4 model:13 researchers:1 left:3 muon:1 being:3 obtain:4 via:1 λe:2 flavor:10 λl:2 seems:1 isgur:1 other:5 extends:1 lett:12 theorem:11 republic:1 momentum:4 yukawa:2 around:1 easily:3 evaluate:2 breaks:2 february:1 smallness:1 background:1 vacuum:7 judge:1 using:9 korean:1 necessary:1 like:1 particle:1 alternatively:1 susceptibilities:1 ignore:1 either:1 follows:8 callan:10 soft:4 essential:2 accessible:1 right:2 deal:1 some:1 play:1 calculated:1 pπ:23 respect:1 χpt:3 describing:1 quarks:2 comments:1 provides:1 prog:1 buballa:1 cabibbo:1 refer:1 inserting:1 hosaka:1 scientific:1 kyoto:3 werth:1 agreement:2 expansion:1 leptons:1 2m:1 properties:2 panel:5 works:2 carried:1 constraint:1 choi:2 discussed:1 meaning:1 o:2 pν:5 compatible:1 stand:1 l9:4 slightly:2 kaons:1 presence:2 previously:1 into:7 within:7 proportional:1 acknowledgements:1 hep:5 area:1 transfer:1 there:4 nucl:6 noticed:1 doing:1 conservation:1 bosons:2 low:10 hadronic:3 was:2 function:6 underestimated:1 form:25 kl3:13 formalisms:1 yad:1 partially:1 quantitatively:1 ψg:1 considered:1 calderon:1 limit:8 demonstrate:1 problem:2 oertel:1 called:1 ac:3 constant:7 ag:1 defined:4 certain:1 abstract:1 kalinovsky:1 proven:1 denote:1 examine:1 reliability:1 dψdψ:1 education:1 physical:1 functions:1 compared:1 dotted:3 ademollo:5 dashed:3 whereas:2 nc:6 when:1 nam:4 field:3 interested:1 role:2 details:1 department:2 leptonic:1 conclusion:1 draw:2 models:1 gev2:2 generated:1 important:2 fermi:1 pion:5 space:1 pseudo:2 mass:5 observables:1 nuclei:1
|
0705.2494.txt |@word limited:1 dewitt:3 sci:1 consider:8 chain:2 saying:1 rev:6 results:1 leads:3 eds:1 scalar:1 muller:1 entropy:12 grateful:1 shimony:1 consists:1 remarkably:1 moon:2 devoted:1 whose:2 certainly:1 inverse:2 depend:1 patches:1 reformulate:1 combined:1 revisited:1 deterministic:1 opportunities:2 passage:1 intensive:1 insects:1 dov:1 those:1 weakening:1 under:3 tegmark:1 mwi:20 division:1 supported:2 amplitudes:1 string:4 orthogonal:3 very:7 rise:1 springer:1 wave:16 grandeur:1 ultraviolet:1 formula:1 experimentally:1 difference:1 matrices:4 vast:1 arrange:1 treating:1 believed:1 quantitatively:1 solves:2 level:1 nucl:2 applicable:1 t0:2 ri:1 deals:2 coincidences:6 phase:1 small:10 biological:7 markov:1 hospitality:1 solutions:1 como:1 smaller:1 compensated:2 occurrence:1 foundation:1 books:1 dealing:2 consistent:1 direct:1 sign:1 past:2 second:3 invention:1 insertion:1 anomalous:1 further:2 copenhagen:3 acid:1 odd:3 linear:1 even:3 reconciliation:1 what:3 appear:3 richard:1 euclidean:1 giving:1 multiverse:3 section:6 brief:1 expressed:2 cell:2 extraterrestrial:1 experiment:1 mutations:1 currently:1 dieks:1 new:5 increasing:1 boost:1 consisting:1 arguments:2 coefficient:1 simultaneously:1 degree:2 deduces:1 respectively:1 never:1 here:4 growing:3 explore:2 objects:3 separation:1 address:1 represented:2 consideration:3 november:1 strong:2 equations:5 appears:1 change:1 extreme:1 penguin:1 parameters:3 institute:2 study:1 vectors:1 allows:3 reason:1 suggests:1 amount:2 suggestion:2 action:2 advantages:1 suitable:2 spacetime:1 options:2 foundations:1 mutual:1 criticism:1 via:2 followed:1 family:1 scales:1 requiring:2 namely:3 explained:2 africa:1 outcomes:4 order:2 improbable:7 aimed:1 darwinian:7 stern:1 neutrino:1 propagators:1 landscape:6 clifford:1 environment:3 use:3 earliest:1 would:5 intensively:1 remains:2 contains:2 predictions:2 cornerstone:1 few:1 live:1 approach:3 call:2 therefore:6 criteria:2 schrdinger:1 scope:1 type:4 theoretical:2 today:1 more:6 sort:2 introducing:1 ambiguity:1 becomes:2 company:1 stable:1 odinger:3 berlin:1 reversible:1 normalized:1 particular:3 known:1 rare:2 cases:3 producing:2 analogous:1 zaslavsky:1 resemblance:1 involve:2 account:1 permits:1 science:1 equation:4 work:1 eclipse:1 london:1 sudden:1 values:7 following:1 meet:1 spontaneous:1 example:7 references:1 cosmological:7 scan:1 process:16 introduces:1 distributions:1 organized:1 weinberg:1 states:6 his:2 numbers:1 sense:1 rescaling:1 occur:1 ratio:2 huge:3 rather:4 discussion:2 means:2 feature:2 orthogonality:1 species:2 regions:2 how:1 hot:1 numerous:1 thermodynamics:1 fourth:1 answer:1 instead:1 happens:1 parameter:3 map:2 product:2 stasis:1 description:2 mukhanov:1 sir:2 inflationary:3 after:5 space:5 containing:1 hazard:1 walk:2 applications:2 produce:2 choice:4 garriga:2 parallel:9 constants:11 realized:6 rubakov:1 natural:6 dynamical:1 third:1 conscious:2 sr:1 correspond:1 corona:1 cosmology:10 provide:1 si:4 cannot:2 so:9 fundamental:18 reduced:1 granted:1 talk:1 typical:1 breaking:1 interpretation:25 schwartz:1 produces:3 chur:1 essence:2 zeh:1 soon:3 produced:1 course:2 paper:2 including:6 looks:1 statistical:2 existence:6 its:11 horizontally:1 derive:1 probability:13 wallace:1 ln:2 masses:1 khalili:1 forms:2 usp:2 production:1 microscopic:1 systems:6 main:1 into:4 overcome:1 happened:1 them:6 motivated:1 pure:2 matches:1 impossible:1 evolution:20 landau:1 framework:5 try:1 effects:6 they:2 oxford:4 now:6 yu:5 discuss:4 nor:1 fields:2 worlds:35 term:4 equality:1 always:1 university:7 presented:1 privileged:3 applied:1 bursts:1 prerequisite:1 arrow:7 each:3 inherent:1 soc:2 difficult:1 side:1 scattering:1 constraints:3 square:2 hadronic:1 mesoscopic:13 energy:3 idea:2 related:4 solution:1 constitute:1 elementary:3 used:3 expect:1 undertake:1 measurement:14 quantum:61 our:6 happen:1 eq:1 event:2 special:3 standard:2 gonzalez:1 large:5 ultimately:1 matrix:2 factors:1 underlying:1 tried:1 since:1 crucial:2 chaos:1 research:1 increase:7 may:14 conclusions:1 asymmetries:1 emerged:2 suggesting:1 got:1 adaptive:2 ref:1 correct:1 shows:1 occurs:2 inhabitants:1 theory:26 barrier:1 interactions:3 galaxies:2 fisica:1 possibility:4 quite:3 pleasant:1 switzerland:1 completely:2 complicated:1 york:2 besides:1 eigenvalues:2 estimate:1 dubna:1 inevitable:1 additional:1 revolutionary:1 definition:1 enormous:1 interaction:2 created:1 cape:1 determining:1 could:1 transition:3 cosmic:1 success:2 punctuated:1 turn:3 explored:2 leading:5 hence:2 onto:1 justifying:1 first:5 origin:2 there:7 symmetry:1 scanning:1 number:14 will:1 done:1 relations:2 another:6 climbing:1 says:2 angular:2 specially:1 differ:2 law:1 checked:1 reference:1 likely:1 become:1 introduction:1 bologna:1 dipartimento:1 deutsch:1 system:12 least:1 their:3 intermediate:1 master:1 observations:1 statement:1 planck:2 postulate:2 especially:1 structures:4 final:1 speaking:1 gives:1 holden:1 kolmogorov:1 stars:2 academy:1 explanation:4 exactly:1 immediate:2 measurable:1 mcfadden:5 part:1 manifestation:1 branches:5 july:1 believe:2 than:5 plausible:1 kind:1 polarized:2 determines:1 effective:2 dawkins:1 accordance:1 was:16 measured:1 depends:1 ranging:1 future:1 contrary:3 str:1 were:4 outcome:4 russia:2 perturbative:1 motivation:1 obstacles:1 sees:2 san:1 ann:1 modern:3 mind:2 argument:1 chapman:1 already:1 say:3 acknowledgment:1 manner:1 vilenkin:3 qualitatively:1 seen:1 seem:3 apparently:2 any:4 seminar:1 relatively:2 subsystems:12 th:2 realm:2 zero:3 latter:3 responsible:2 kamenshchik:4 ideas:1 mechanism:1 efremov:1 note:3 sciences:2 high:2 take:1 objective:1 green:1 coincide:1 plato:1 moscow:4 differences:2 multiple:1 allow:2 neo:1 logarithmic:1 object:5 most:5 connected:4 amongst:1 position:1 device:4 sun:3 wisdom:1 extremely:4 class:1 mach:1 branching:15 give:1 observation:3 consequences:2 considered:3 calculated:1 drive:1 dimension:3 feynman:1 proceedings:1 reaction:1 formation:1 principle:24 mechanical:2 χn:3 physics:12 positivity:1 fact:2 laws:4 planetary:9 emerging:3 selection:13 phenomenon:1 xxxiii:1 mechanisms:1 violation:1 random:5 recipe:1 favour:1 implying:1 iǫ:1 spaces:1 relation:3 gerlach:1 earth:2 fine:9 find:2 fifth:1 make:1 postulates:1 partially:1 based:1 just:4 spite:1 series:1 explain:7 original:1 should:9 moments:1 only:10 version:1 anthropic:28 molecules:1 indeed:4 identification:1 constant:5 darwin:2 equilibrium:1 do:4 mixture:2 stay:1 di:1 simplest:1 lucky:1 preferred:8 joint:1 unimportant:1 ones:3 words:1 progress:1 richards:1 during:3 he:4 tp:2 neither:1 cosmol:1 disentangling:2 processes:4 brain:2 nullification:1 arxiv:3 grav:2 tuned:2 imposed:1 redefined:1 cf:1 common:2 proponents:1 through:2 perlov:1 fixed:2 lss:1 satisfy:1 questions:1 observer:5 achieved:2 intelligence:1 correlations:2 humans:2 albeit:1 packet:4 relative:6 see:6 actively:1 result:3 eliminating:1 discussions:1 recently:3 limiting:1 alternative:1 best:1 subject:1 phases:1 nuclear:1 review:1 complementary:1 definite:1 soffer:1 artificial:1 eigenstates:1 opened:1 state:14 various:5 correctly:1 between:12 invariant:1 boundary:5 conditions:5 house:1 terms:4 august:1 extend:1 opening:2 importance:1 however:9 carter:1 day:1 hypothesis:4 key:1 article:1 summing:1 come:1 cosmos:1 irnerio:1 suggested:5 restrictions:2 interpretations:1 toward:1 last:3 tipler:1 many:20 taking:1 density:6 equal:2 participating:1 etc:1 manifestations:1 purely:1 entropies:2 trivial:2 department:1 whole:1 experimental:2 mutating:1 among:1 ci:5 relevant:1 extent:1 point:1 simple:3 seems:1 coexistence:1 coincidence:4 dimensional:2 superstring:1 grants:1 applicability:3 moreover:2 cp:1 considers:1 amino:1 considering:1 light:1 described:2 tuning:6 basis:16 ben:1 due:6 completed:1 evolutionary:3 int:1 reduction:4 describes:1 manners:1 treat:1 hawking:1 basic:5 living:1 ph:3 hardly:1 universal:1 choose:2 field:4 life:19 arises:2 corresponding:6 both:2 quantities:2 sufficient:3 formed:2 essentially:2 intelligent:1 understand:1 external:1 prescription:1 spin:3 present:3 case:8 multi:1 schmidt:1 exponential:1 mount:1 appearance:9 value:3 easier:1 aim:1 complexity:6 while:7 investigating:1 eclipses:4 characterizing:1 unlikely:2 detailed:1 unitary:1 played:2 chaotic:3 characteristics:2 overlooked:1 formulation:1 thus:5 non:3 dirac:2 eve:1 itself:2 centennial:1 rii:1 ready:2 rid:1 harwood:1 elements:1 rfbr:1 different:14 italy:1 author:1 generic:1 suggest:8 realizing:1 norton:1 radiation:2 lett:3 same:13 clearly:1 princeton:5 stimulated:1 complex:8 quant:1 emphasize:1 modification:1 barvinsky:4 events:6 φn:3 simulation:1 development:1 fairly:1 literature:1 context:2 everett:9 numerical:1 effect:4 hand:1 usually:2 moment:6 necessity:2 opinion:2 entanglement:3 robust:1 uˆ:3 opportunity:8 tune:1 eigenvectors:2 schr:3 reflection:2 scenario:1 mention:1 studies:1 substantially:1 no:8 well:1 analysis:1 without:1 lenses:4 mod:1 easily:1 quantitative:1 model:2 otherwise:1 arising:2 self:3 usual:1 next:1 mesons:1 assembling:1 proposed:1 being:5 insubria:1 resolution:1 gravity:2 press:4 formulated:1 distant:2 human:2 world:5 facts:2 symmetries:1 λi:2 macroscopic:2 yet:1 alignment:1 previous:1 jcap:3 candidate:1 decomposing:1 extra:1 character:3 dicke:1 transparent:1 mathematically:1 source:3 preferable:1 spread:1 combine:1 treatment:1 pointing:1 barrow:1 scientific:1 divided:1 tests:1 increased:1 represents:1 decomposed:1 possible:9 corresponds:5 dark:1 smallness:2 inflation:3 vector:1 vacuum:2 average:1 immediately:1 emergence:10 unique:3 riken:1 apart:1 desire:1 vertically:1 theor:1 necessary:4 like:12 particle:3 sizes:2 contradict:2 reduces:1 identifying:1 linde:2 imposes:1 steps:1 either:1 fully:1 popular:3 expresses:1 essential:2 crudest:1 mathematical:3 right:1 neumann:2 classical:5 picture:2 absolutely:1 creation:3 some:18 back:1 understood:2 growth:2 acad:1 choosing:1 respect:3 universes:5 indirect:1 establishing:1 ourselves:1 reasons:2 nonzero:1 provided:4 scale:3 describing:1 lead:4 measurements:2 causal:1 classicalization:1 does:9 decomposition:5 mutation:2 provides:3 evidences:1 particles:2 proc:2 minimal:1 measuring:5 conference:1 who:1 reasonable:1 sixth:1 equivalent:1 bi:3 expansion:2 trials:1 shklovsky:2 although:1 found:4 pogosian:1 imaginary:1 exciting:1 hilbert:5 von:2 stage:2 about:4 actual:1 ρˆi:2 extension:1 getting:1 universe:12 discussed:2 o:11 constituting:1 probabilities:2 range:2 nothing:2 nj:2 act:1 philos:1 mean:1 consequently:1 primitive:1 cambridge:1 eternal:1 publishing:2 presence:5 puzzle:1 within:1 washington:1 colour:1 pedagogical:1 accommodate:1 multiply:1 beings:1 because:4 mitochondrial:1 female:1 sov:2 operator:2 albrecht:1 fixing:1 λn:3 artru:1 leningrad:1 hep:3 devices:1 assumed:1 support:5 initial:9 question:1 explains:2 long:2 generation:1 rept:2 low:6 way:5 crucially:1 astrophysics:1 subsequent:1 sections:1 opens:1 naturally:4 function:11 irreversibility:8 photochemical:1 teleological:1 phenomena:2 smolin:1 qcd:3 but:9 sagan:1 astro:1 winitzki:1 construction:1 solar:6 atom:1 russian:1 implies:3 line:1 irreversible:1 dull:1 treats:1 infn:1 originals:1 versions:2 proceeds:1 multiplicity:3 variations:2 up:2 us:4 planet:1 astrophysical:2 limit:1 selects:1 gould:1 sum:1 problem:12 stages:1 similar:3 called:4 nature:3 mechanics:14 separated:2 changes:2 associated:1 zeno:2 computing:1 defined:7 certain:1 abstract:1 contribute:1 direction:1 general:3 ap:6 single:2 exist:2 periods:1 planets:1 laboratory:1 dynamics:1 formalism:3 graham:1 dawn:1 fractional:1 physical:9 functions:4 susskind:1 variety:2 extract:1 when:9 reality:2 application:1 other:6 role:5 transport:1 branch:4 spatial:1 formalize:1 mathematics:1 francisco:1 out:2 explaining:1 briefly:1 operation:1 replicator:2 superposition:7 separate:2 models:1 stringy:1 variation:1 arginine:1 deriving:1 generated:1 important:6 dense:1 structure:3 shadowing:1 ago:1 excellence:1 independently:1 subdivision:1 factorized:2 practically:1 assume:3 organism:1 age:1 required:5 kinetics:1 notion:1 teryaev:5 ratcliffe:1 ramification:1 biosystems:1 time:20 international:2 decoherence:2 quantity:1 starting:1 having:1 once:1
|
0705.2495.txt |@word sci:3 consider:3 remarkable:1 global:2 commun:1 results:1 four:2 obstruction:7 ge:1 proposition:7 grateful:1 consists:4 disk:4 gk:9 toric:4 compact:18 whose:6 maximally:3 depend:4 iii:1 concerned:1 acting:1 tl:2 according:1 manifolds:20 th:6 stable:2 rham:10 exposition:1 analogous:1 eβ:3 norm:2 case:5 bialgebroids:1 consequently:1 orthogonal:2 rise:8 springer:3 induce:1 choice:1 mν:1 wishes:1 every:6 dolbeault:2 li:2 exact:6 deformations:51 encounter:1 dim:3 school:1 turns:5 notes:1 t2:4 solution:11 try:1 deformed:1 vector:13 universal:1 recall:1 small:16 der:2 eρ:1 zi:2 zk:5 lvi:6 estimates:1 direct:9 jump:1 integrability:3 further:5 dφα:1 odd:1 eigenspaces:1 canonical:12 bilinear:4 brackets:1 sum:9 version:1 en:2 unobstructed:4 subspaces:1 international:1 order:9 consisting:4 ek1:4 satisfy:3 devoted:2 full:3 degree:9 respectively:3 hitchin:6 tangent:3 hausdorff:4 represented:2 algebroid:3 equations:5 z1:4 change:2 contraction:1 obtained:1 tian:2 weinstein:1 kontsevich:1 simultaneous:2 poisson:21 action:28 filtration:4 suitable:1 ˇi:1 quotient:2 lφ:13 petersson:1 projection:1 family:39 first:9 apply:4 establish:1 research:1 linearly:1 use:6 lecture:2 eψ:2 would:1 prove:4 de0:1 positive:3 h0:1 eφ:2 bundles:3 finally:1 ψt:17 e0:4 linear:2 call:2 vi:7 type:12 sincere:1 more:3 elliptic:9 formality:1 definition:2 becomes:1 operators:3 under:8 berlin:1 appendix:3 particular:3 known:1 projective:1 hold:1 eα:9 must:2 ρa:1 dez:6 valued:3 apostolov:1 frobenius:1 mm:2 science:2 equation:14 grundlehren:2 mk:11 del:2 following:7 dea:2 oberwolfach:1 proof:23 define:21 f1:5 dual:1 figure:1 give:3 dβ:11 arise:1 suggestions:1 lψ:4 ob:1 identified:1 cartan:4 degenerate:18 sense:1 2cs:5 conversely:2 g2:2 lemma:34 s2:6 s1:6 acts:7 ping:1 write:4 nontrivial:5 pure:42 fix:1 ordinary:1 verlag:3 parameter:3 algebroids:1 map:6 product:5 ft:6 description:2 algebra:11 replacing:1 max:1 after:1 derived:6 cubic:1 applications:2 qqq:8 fg:1 fj:3 meaningful:1 fm:5 constants:2 natural:1 imply:2 ss:5 lemmas:1 grant:1 explicit:2 element:9 interpolates:1 lε:3 so:9 sn:11 fundamental:1 representation:2 discussion:1 typical:1 fα:2 subsections:1 developed:2 over:2 p1k:2 stability:16 db1:3 paper:5 london:1 da1:7 thesis:2 japan:3 its:4 before:1 suffices:3 sciences:1 mod2:1 group:22 thank:2 z2α:1 clk:2 interesting:1 lj:27 coordinates:1 ker1:9 forms:15 definition:3 condition:2 derivative:10 2mm:1 deformation:5 correspondence:1 symmetrization:1 non:32 greater:3 combination:1 introduce:2 dak:3 serre:1 nov:1 discuss:1 eigenvalue:1 term:6 several:1 equality:1 university:2 polyvector:1 theory:5 inequality:6 component:1 each:10 found:1 2n:4 calibrations:1 cl0:3 cl1:15 cl2:18 cl3:6 homogeneous:1 spinor:38 holonomy:1 ei:10 ek:7 ej:2 series:24 osaka:3 ruled:1 ea:49 idea:1 related:2 eb:16 society:1 ez:19 our:13 eq:6 special:3 out:5 shown:2 space:16 deα:1 rep:1 since:39 induces:20 denotes:10 obstructions:4 contained:1 geom:2 denoted:1 formula:5 induced:7 induction:8 math:26 limλ:1 maurer:4 goto:5 diagonal:1 standard:1 admits:3 york:2 usual:4 put:2 e4:5 estimate:6 e1:23 generate:1 e3:5 e2:21 v0:2 geometry:5 phrases:1 fujiki:1 βx:2 ahler:106 isotropic:4 hence:28 promotion:1 torelli:1 first:1 origin:7 already:3 subcomplex:2 blown:1 calif:1 primary:1 rank:4 another:1 message:2 precisely:1 open:11 xu:1 given:39 similarly:2 introduction:2 fixed:1 adjoint:8 construct:7 1c:1 assumption:6 1e:2 statement:1 πu:7 structures:122 gives:15 holomorphic:24 diffeomorphisms:2 kosmann:1 part:7 than:3 toyonaka:1 kind:1 showed:1 was:1 zero:9 dtd:1 ek2:2 determined:3 decompose:1 bihermitian:5 symmetries:1 saitama:1 gauduchon:1 argument:2 generalization:3 conjugate:3 take:12 any:4 contents:1 lie:20 depending:1 lim:2 lin:2 internat:2 converges:2 note:7 instance:2 k1:30 εi:3 generalized:152 εk:1 εj:1 interior:2 green:5 coincide:1 even:1 gδ:4 macr:1 finish:1 shall:3 metrics:1 algebraic:1 preliminary:1 pair:9 sufficient:1 analytically:2 class:9 classification:2 tν:1 observation:1 hk:5 kk:7 kj:61 professor:5 phil:1 cover:1 spencer:6 bracket:19 subgroup:1 section:43 fact:3 precise:1 dbk:3 show:15 supported:1 spaces:1 relation:1 solutions:2 infinitesimal:5 substituting:3 trivial:5 injection:1 deform:1 based:2 eigenspace:9 explain:1 kj0:10 topological:1 analytic:18 only:6 explicitly:1 subsection:2 integrable:14 constant:6 posted:1 local:1 schauder:3 do:2 dl:12 his:2 notation:3 df:15 dg:9 de:11 da:1 fibre:6 ones:1 words:1 new:3 combinations:1 dt:1 secondary:1 qq:4 liu:1 covering:2 arxiv:2 method:4 involutive:2 grassmannians:1 contain:1 view:3 riemannian:1 moduli:1 set:14 ser:2 exists:18 hα:9 j0:24 j1:8 module:2 calabi:6 see:12 result:5 discussions:2 barannikov:1 subject:1 surfaces:13 satisfying:2 inequalities:6 uα:15 fano:6 symmetric:4 written:14 closed:5 between:2 invariant:2 submanifolds:1 available:1 find:3 terms:14 jt:21 fields:8 complement:1 zbl:20 jp:1 however:3 p2k:4 tolman:1 vanishing:5 comm:2 ji:1 key:1 jφ:5 cli:8 suggested:1 both:3 many:5 c5:3 equal:3 symplectic:3 ck:9 ci:1 co:3 groups:2 triples:1 point:4 cohomology:21 cf:6 16c:1 dimensional:7 anti:5 cs:9 respect:15 cp:10 ct:1 eβt:2 lv:4 pp:4 bartocci:1 described:3 commutative:3 second:1 basis:1 yau:6 skew:2 locally:4 due:1 been:1 ker:12 reduction:3 workshop:1 z2:1 kodaira:9 pk:1 indefinite:1 algebras:2 sufficiently:9 ls:2 arises:1 partly:1 received:1 cotangent:2 differentiating:1 subspace:7 t3:3 pezzo:2 systematic:1 c3:3 c2:10 c1:8 general:3 spin:5 present:1 c4:3 applied:3 intriguing:1 hdr:9 exponential:4 clifford:16 corrigendum:1 will:15 contemp:1 viii:2 bogomolov:1 aid:1 conformal:1 hyperk:2 schouten:3 yi:1 almost:17 vanishes:6 metric:7 thus:26 instantons:1 surface:2 iv:1 ii:1 vt:1 exterior:10 ann:2 id:2 eε:12 wissenschaften:2 containing:7 develop:1 ample:1 author:1 identities:4 make:1 same:5 φa:4 complex:135 dα:1 composition:2 higher:5 extended:1 columbia:1 singapore:1 again:1 hand:1 parametrized:13 purpose:1 53c25:1 older:1 refined:1 todorov:1 solve:3 components:3 san:1 dimension:3 left:5 manifold:25 graded:3 satisfies:12 obtain:21 valuable:2 detail:1 identify:1 five:1 integer:1 campbell:1 λi:2 definite:2 λl:3 adv:2 k3:1 classification:1 k2:27 cl:24 adz:1 cavalcanti:2 smoothness:1 lett:1 ag:2 theorem:41 adl:1 mod:8 bursztyn:1 gave:1 real:13 aspects:2 depends:3 decomposed:5 harmonic:2 gualtieri:5 isbn:2 press:1 using:5 unique:4 string:2 formal:9 infinitely:2 necessary:1 like:1 follows:61 grantcharov:1 vα:3 sakai:1 reduced:3 mathematical:2 because:2 self:1 examples:5 b2:1 b3:1 nonzero:1 dimensions:3 filtrations:1 hodge:4 ak:11 ddj:1 does:2 decomposition:18 provides:1 ddc:1 schwarzbach:1 minimal:2 ob1:2 chevalley:1 scientific:1 power:19 equivalent:3 bi:2 bk:11 weil:1 nowhere:2 injective:6 field:4 diego:1 about:1 trivialization:3 actual:1 obk:26 world:1 ξi:1 theorems:3 a3:1 o:2 side:1 act:1 ti:1 introduced:1 mmm:4 em:1 soc:2 convergent:5 publishing:1 subbundle:4 jε:13 into:12 isomorphic:1 jβ:8 univ:1 coefficients:1 ppp:5 references:1 laplacian:1 determine:1 operator:19 successively:2 next:1 vj:3 spinors:5 there:38 long:1 ed:1 notices:1 m1:7 sections:15 naturally:1 function:5 pro:1 form:25 hp:2 identification:1 but:2 principles:1 collected:1 construction:6 grassmannian:1 convergence:2 line:15 he:4 count:2 namikawa:1 applying:5 embedded:1 inhomogeneous:1 manin:1 smooth:2 up:1 dφ:14 3mm:1 jψ:9 jω:1 uj:4 ωa:2 problem:1 similar:2 called:2 b1:23 nnn:12 ac:1 pik:1 associated:1 ad:1 pin:1 ai:5 coincides:1 abstract:1 denote:19 dirac:1 exist:1 corresponding:4 dδ:2 z1α:1 commuting:5 constructed:4 ni:3 courant:5 nn:4 no:12 image:3 when:1 defined:12 graduate:1 coefficient:1 points:2 mathematics:3 defines:4 differential:24 star:1 symbol:1 june:1 bundle:45 includes:1 a1:16 commutator:2 generated:4 a2:2 mathematischen:2 structure:54 mology:1 huybrechts:1 implies:10 dψ:1 assume:12 orbit:4 together:1 notion:3 res:1 representative:2
|
0705.2496.txt |@word dynamic:1 four:3 consists:1 localized:1 const:1 γu:1 tween:1 under:3 worth:1 casadio:2 rise:1 solution:9 vector:3 math:1 relics:1 jhep:2 consistent:1 direct:5 approximation:2 second:7 tangential:38 chen:4 estimated:1 salucci:2 even:5 above:3 new:3 increasing:2 coefficient:3 agreement:1 uncompactified:1 szydlowski:1 possibility:6 jcap:1 obtained:15 property:1 study:10 completely:2 adopting:1 spacetime:8 projection:2 explained:4 total:7 linearly:4 plot:2 would:3 negative:6 call:1 therefore:16 type:1 uaµ:1 curvature:3 berlin:1 warm:1 hole:2 aligned:1 must:3 springer:1 mb:7 rν:5 work:2 verbin:1 theories:5 mu:9 mv:4 gladders:2 root:1 example:1 give:7 relativistic:7 organized:1 isothermal:1 end:1 provide:6 papadopoulos:1 astronomers:1 far:1 hot:1 ordinary:1 fourdimensional:2 lam:1 description:1 hong:4 law:3 constants:5 bekenstein:1 effective:9 summing:1 correlation:1 order:10 interpretation:2 satisfied:1 satisfies:2 before:1 δiµ:1 better:1 stojkovic:2 fig:3 hidden:1 them:2 affected:1 band:1 effects:15 they:4 singularity:2 rµ:3 several:2 each:1 side:2 mean:1 used:5 ru:6 particles:33 rc:1 rn:1 mielke:1 rh:1 foundation:1 turning:1 linear:16 little:1 free:2 standard:17 estimate:3 r0:1 r1:2 r2:14 ds2:2 onto:1 restrict:1 another:3 electronic:2 rewritten:2 eqs:6 needed:2 perturbations:1 observations:8 john:1 collapse:1 binney:1 distance:6 princeton:2 matter:66 classes:1 sees:1 rewrite:1 modern:1 dθ2:1 b487:1 ray:2 fabbri:1 exactly:3 germani:1 shall:3 metrics:2 simplify:1 phase:3 constancy:4 observation:1 detectors:1 definitely:1 principle:1 notion:1 dot:2 signatures:2 distances:7 probe:2 krawiec:1 implying:3 radii:1 gauge:1 solutions:3 substituting:1 d4:1 d5:1 tremaine:1 explain:3 geodesics:1 constant:39 do:4 cheng:1 klein:2 de:5 da:1 report:1 reconstruct:1 dt:1 du:1 dr:6 dp:4 dq:6 fields:9 acknowledgments:1 nθ:1 analytical:1 observer:2 testing:5 detection:2 radius:10 result:1 discussions:1 dµ:7 best:4 tensor:19 away:1 symmetric:9 approach:4 terms:18 positron:1 weak:4 however:6 extent:2 improve:1 suggested:1 contribution:4 lenses:1 shiromizu:2 testable:2 dobado:2 mizuno:1 three:3 been:17 much:6 interest:1 basic:3 expected:3 stresses:2 quantities:9 coherent:1 spin:2 rµµ:1 exception:1 transformation:1 near:3 balance:1 iv:2 ii:2 ij:1 exterior:1 λgµν:2 containing:2 complex:2 quant:1 mukherjee:1 avoids:1 electro:1 showing:1 independent:3 rezania:1 numerical:3 hand:6 dadhich:2 mentioning:1 weakly:2 scenario:4 left:2 proposed:4 able:1 newton:1 yee:2 farther:1 gumrukcuoglu:2 spherically:7 yet:1 candidate:1 evidences:1 transformed:1 easy:1 5d:8 breaks:1 possible:7 possibly:1 background:1 rµν:2 unique:1 performing:1 specific:2 arbitrary:7 right:3 deflection:6 nucamendi:1 separately:2 dabrowski:1 electromagnetic:1 comments:1 unit:3 yields:2 pose:1 super:2 properties:7 intergalactic:1 d69:2 d68:2 horizon:1 d65:1 d64:4 d67:1 d66:1 d63:2 d62:5 presence:5 obtaining:1 bound:1 down:2 remarks:1 acad:3 nunez:2 transform:1 conservation:2 ratra:1 fraction:1 astrophysics:1 was:9 gij:8 medium:1 form:24 differences:1 pµν:5 magnitude:2 solar:1 inside:3 maximum:1 whisker:1 nµ:1 b64:1 abstract:1 guzman:3 evidence:4 dξ:2 conserved:3 dν:6 exist:1 dθ:20 ru3:1 distributions:1 check:1 physical:13 ni:4 nj:2 discriminate:1 no:4 na:1 nb:1 when:1 vanishes:1 role:3 tij:4 test:31 node:4 picture:1 peebles:1 gergely:1 models:24 a18:1 longer:1 dω:1 assume:5 dχ:1 together:2 time:2 observables:2 quantity:1 fursaev:1 bharadwaj:1 leads:1 roy:1 depend:2 vef:2 finally:2 circumstances:1 orthogonal:2 geometrical:3 anonymous:1 exact:3 clouds:5 level:4 sundrum:3 anisotropy:2 travels:1 solved:4 milgrom:1 irreducibly:1 upper:1 braneworld:1 measurable:2 boyce:1 port:1 appear:1 contracted:1 annals:1 lifshitz:1 satisfy:1 cgb:1 megaparsecs:2 understanding:1 address:2 xγ:12 teacher:1 institute:1 commonly:1 usually:4 extra:14 langlois:1 planck:1 d72:1 d73:1 d70:5 d71:4 d74:2 intensively:1 covariant:1 positive:3 predictions:4 sµ:1 scenarios:2 alcaniz:1 eµµ:1 theoretical:5 introducing:1 eν:11 rigid:1 virtue:1 eλ:3 cases:4 rotational:8 local:5 inertial:1 constraint:4 hαµ:1 reviews:1 values:10 following:10 figure:2 predict:2 moffat:1 performed:2 dxi:2 allowed:1 hydrogen:2 occur:1 pure:1 parameter:7 may:12 applications:1 mak:10 data:3 stress:1 natural:1 dynamical:4 explicit:3 cosmology:2 ωdm:1 so:2 halos:3 typical:2 mainly:1 kong:3 motions:1 cold:2 still:2 observational:13 derive:2 thank:1 vtg:76 interesting:2 decreases:1 eµν:10 attraction:1 main:1 non:17 scaling:1 identically:1 eµ:2 now:2 discuss:1 bernal:1 possess:1 term:12 name:1 spacetimes:1 hαβ:1 possibilities:3 domain:1 square:3 significantly:3 collisionless:1 astrophysical:4 eq:20 living:1 shown:3 space:9 furthermore:1 lagrangian:4 increase:1 attracted:1 contained:1 dominate:1 correct:1 shows:3 theory:10 codazzi:1 albuquerque:1 governing:1 advantages:1 sbrane:2 motion:13 turn:1 massive:7 first:4 origin:1 symmetry:3 variables:4 directly:2 nester:2 open:1 angular:4 given:22 physically:3 gives:10 deg2:1 schwarzschild:5 x0:9 than:7 coefficients:1 require:1 hypersurfaces:2 future:1 hoekstra:2 were:2 decompose:1 portsmouth:2 correction:2 argument:1 say:2 sar:1 recover:1 any:6 potential:6 take:3 observationally:3 coincide:1 trace:4 normal:6 algebraic:1 satisfying:1 pair:1 xµ:1 considered:8 average:1 implications:1 sussman:1 laws:1 show:3 german:1 frolov:2 fifth:1 ground:1 eαβ:2 written:6 analytic:2 only:8 explicitly:2 black:7 gev:2 get:1 cannot:6 nearly:1 zhu:1 aν:1 gen:3 aξ:1 yield:1 predicted:7 lbrane:3 ricci:1 imposing:1 namely:2 eliminating:2 points:5 αp:2 detect:1 αu:3 ways:1 review:3 definite:1 outside:3 ρeff:2 between:7 geometric:1 2αp:1 virial:2 lopez:1 jb:1 mond:1 many:1 region:16 21cm:1 according:1 dated:1 embedding:2 expression:6 comes:1 affine:1 maintained:1 anti:2 pok:1 moreover:5 branes:3 considering:2 unusual:1 photon:1 po1:1 6p:2 observe:1 external:1 baudis:1 those:2 case:14 profiles:1 boehmer:1 situation:1 eij:2 coupled:1 characteristics:1 metric:27 discrepancy:2 cluster:2 d14:1 different:7 etc:2 same:3 shifts:1 pal:2 investigated:1 maeda:3 largely:1 roughly:1 without:7 components:3 coordinate:4 model:23 dimension:1 being:2 generally:6 valuable:1 relevant:4 differentiation:1 speed:1 photons:1 seems:2 priori:1 lett:13 300km:2 wiseman:1 momentum:6 real:3 aspects:1 around:9 represents:3 early:1 campos:2 vacuum:24 confined:3 world:31 mod:4 particle:14 reduces:1 velocities:7 serves:1 either:4 tower:1 reduced:9 supplementary:3 images:1 provided:1 dimensions:3 extensively:1 critical:13 provides:1 propagating:1 measuring:1 equivalent:1 radial:7 hadron:1 comparison:1 obeys:2 act:1 road:1 mannheim:1 youm:1 determine:2 einstein:5 elementary:1 log:1 assumed:1 there:4 ponce:2 start:1 low:1 stars:1 newtonian:5 enough:1 jun:1 aµ:3 proposal:1 extend:3 embedded:2 ωm:2 strongly:2 ac:1 taylor:1 describe:1 general:23 postulating:2 again:2 field:34 valid:2 overduin:1 briefly:1 contradicted:1 important:7 curve:1 mass:35 gαβ:3 sci:3 consider:4 caused:1 month:3 scalar:9 follow:1 denotes:2 content:1 k52:5 th:1 dominated:3 mpc:2 very:6 induce:1 sons:1 difference:1 condition:3 large:11 small:3 zero:4 further:1 tev:2 diag:1 section:6 method:3 contrast:1 full:2 christian:1 component:2 zong:1 strong:2 equations:47 tµ:2 allows:7 amount:2 action:1 uniquely:1 via:1 analyzing:1 takes:3 contains:2 nucl:1 sitter:3 more:3 flat:9 emission:1 wijewardhana:1 particular:2 known:2 b532:1 equation:34 centrifugal:1 remain:2 compare:2 cosmological:10 functions:5 suggestions:1 numbers:1 arise:1 rather:1 galactic:43 fu:1 wiley:1 derived:1 orbits:11 tries:1 plane:1 coming:1 d13:1 negligible:2 fundamental:2 2u:3 playing:1 developed:1 thermal:1 paper:4 through:2 existence:6 kinetic:2 its:5 roots:2 shankaranarayanan:1 energies:1 solving:2 detected:3 systems:4 might:2 good:3 universality:1 number:3 framework:2 oxford:1 easily:2 2p:12 2q:1 presented:1 k42:3 eigenvalue:1 found:3 heavy:2 energy:14 idea:2 expect:2 measurement:1 quantum:2 beyond:1 event:1 dominates:2 cembranos:2 since:17 projected:3 research:2 flattening:1 tαβ:1 denoted:3 induced:3 urena:1 localization:1 imaging:1 members:1 randall:4 generate:1 pairs:1 feel:1 geodesic:3 introduction:1 interact:1 construct:1 assumption:2 dt2:1 dfg:1 optical:1 authors:1 determines:1 fuchs:1 annihilation:2 determined:6 toward:1 treated:1 maroto:3 derivative:2 b523:1 lie:1 giannios:1 depending:2 self:3 generalized:3 k5:1 k4:2 eff:4 play:1 kao:2 most:4 significant:3 measured:1 deviations:1 unequal:1 km:2 exp:7 velocity:46 physics:7 spherical:2 relation:4 astrophys:5 find:4 parameters:4 distributed:1 his:1 express:1 closely:1 maartens:6 arxiv:1 investigate:3 set:1 see:6 individual:1 accelerators:1 close:3 uν:5 branons:5 gravitation:1 uβ:1 various:1 conditions:2 knowing:1 recently:1 vanishing:1 invisible:1 both:7 sopuerta:2 connection:1 context:2 experimental:1 point:31 simple:8 asymptotically:7 corresponds:8 leon:2 dimensional:7 described:3 transformations:1 due:6 azimuthal:1 anisotropic:1 attractive:1 sanders:1 generating:1 gas:2 determination:1 gab:1 intriguing:1 pacs:1 indefinitely:1 ρcrit:1 while:4 replaced:1 match:1 behavior:18 couplings:1 radio:1 reads:2 seen:1 vanish:1 grant:2 emphasize:1 pressureless:1 modification:1 survey:1 relatively:1 higher:3 literature:1 moving:2 purpose:1 necessity:1 eigenvectors:1 dark:114 majumdar:1 analysis:9 consistency:1 2gm:10 λr:6 λb:8 using:11 alternative:7 siddhartha:1 source:2 rgc:1 theorem:1 ruled:1 heidelberg:1 couple:1 tνα:1 8πg:2 projects:1 follows:5 signal:5 shapes:1 continue:1 unstable:2 popular:1 methods:3 some:10 back:1 universes:1 wesson:1 scale:11 describing:4 measurements:1 integration:7 behave:1 tends:2 b609:1 minimal:1 bo:1 use:5 stel:1 step:1 become:3 relating:1 repts:1 constrains:1 kar:1 range:3 extensions:1 consequently:2 gamma:1 cutoff:1 computational:1 into:7 within:2 appropriate:3 lensing:19 proportional:3 extremely:1 long:3 analyze:7 sections:2 considerably:1 fitzpatrick:1 gauss:1 delta:1 considerable:1 alcubierre:1 gravitating:4 consist:1 characteristic:1 up:3 us:8 uk:2 fluctuations:3 autonomous:1 similar:3 called:4 associated:5 defined:2 single:1 sasaki:2 uµ:7 rewriting:1 application:1 yang:1 department:1 explaining:1 problems:2 θdφ2:1 generated:1 linearization:1 sides:1 structure:10 implies:2 harko:13 holes:5 orbit:7 equivalently:2 depth:1 retardation:1 requires:1 once:1 gr:2 aliev:2 results:8 torii:1 gm:4 issues:1 compact:1 excluded:3 stable:22 presently:1 electron:1 hµν:5 notes:1 eigenvalues:8 smaller:1 sin2:1 modified:3 imply:2 traveling:1 dynamics:11 ohmer:1 giving:3 3r:4 expressed:5 3t:1 henceforth:1 referees:1 collins:1 body:2 justification:1 led:1 chose:1 respectively:11 hku:1 l21:1 objects:2 z2:1 extreme:1 great:1 larger:3 8πg5:1 resulting:5 composed:2 matos:3 scales:1 integrations:1 improbable:1 tools:1 standing:1 confidence:1 remains:1 few:2 becomes:3 normalized:1 iii:4 high:1 account:4 challenge:1 reproduce:1 unknowns:1 freedom:1 closing:1 dxj:1 thermally:1 sokolov:1 reconstructed:1 effectively:1 assumptions:1 decaying:1 regions:2 located:2 circular:17 profile:6 tension:2 seahra:1 wiltshire:1 λ2b:1 light:9 gravitons:3 gµν:5 astronomical:1 move:2 interpreted:1 produced:2 including:3 hypersurface:2 mentioned:1 galaxy:24 outer:1 ln:1 masses:2 relativity:5 estimating:1 clusters:8 greater:1 landau:1 rotation:19 day:1 february:1 b378:1 extr:1 university:3 identified:1 kpc:1 transmitted:1 persic:1 uninteresting:1 2eg:1 weyl:11 related:5 sudarsky:1 frequency:1 static:9 our:15 special:1 out:2 matrix:4 rev:40 rel:3 lecture:1 supports:1 integrated:2 red:1 interactions:1 galaxies:25 approaches:1 dω2:2 hubble:1 interaction:2 mukohyama:1 geometry:4 could:6 linearized:3 isotropic:1 hence:8 manuscript:1 sbulk:2 hyperbolic:2 unknown:1 extrinsic:1 system:23 their:4 b627:1 be2:1 perfectly:1 final:1 visser:1 acquire:1 manifestation:1 constituent:1 observed:7 discriminating:1 roberts:1 projections:4 curves:19 need:1 clearly:1 acceleration:2 angle:7 mills:1 gravity:17 instance:1 accuracy:1 propagate:1 class:3 neutral:2 face:1 fact:2 supported:2 trivial:1 q0:3 based:3 knowledge:2 baryonic:12 should:2 candidates:3 kaluza:2 means:3 ones:1 densities:2 differential:5 grav:6 qc:2 contain:1 fixed:3 view:4 requirement:1 farthest:1 hν:1 frame:1 luminous:4 qµ:2 interacting:3 tend:2 state:23 closed:1 invariant:1 boundary:2 reproduced:1 emitted:1 hypothesis:2 problem:5 observable:4 interpretations:1 freely:1 taking:1 equal:1 attributed:1 chosen:1 estimation:2 lm:5 cm:1 conclude:1 wall:1 ce:1 distinguish:1 coordinates:3 respect:2 cv:1 salgado:1 bianchi:1 sµν:4 define:2 hernandez:1 corresponding:3 tµν:5 bulk:34 astron:2 c2:4 c1:3 c0:2 present:8 multi:1 value:9 will:2 almost:1 vi:2 thus:2 helped:1 generic:1 radiation:34 cross:1 16πg:3 member:1 parts:1 gets:1 pires:1 difficult:1 ball:1 effect:9 infinite:1 expand:1 center:12 well:2 firstly:1 position:1 usual:3 bending:6 less:3 obtain:14 momenta:1 density:13 gmb:1 mathematically:1 halo:2 wimps:1 barrow:1 gmu:9 government:1 spatial:2 increases:1 five:1 press:2 immediately:5 improper:4 necessary:2 like:11 lost:1 qualitative:9 δg:1 accessible:1 classical:1 sequence:1 phenomena:1 proper:1 does:2 assuming:8 l2:4 expansion:1 pressure:34 although:1 about:4 saddle:2 universe:8 energymomentum:1 dependence:1 h2:1 pergamon:1 h0:1 functional:3 additional:3 spiral:5 wimp:1 quadratic:2 naturally:2 function:13 brane:104 but:5 hk:1 repeated:1 compute:1 gravitational:32 limit:6 dmu:1 distribution:4 int:2 denote:1 identities:1 qγ:1 compared:3 virtual:1 other:9 conclusion:1 variation:2 coupling:1 lives:1 4d:13
|
0705.2497.txt |@word neighbors:8 represent:1 outlining:1 consider:3 results:1 existing:2 four:4 eds:1 consists:1 preferable:1 gh:1 synthetic:1 21st:1 opportunities:1 program:4 promoting:1 nodes:39 include:2 fax:1 advantage:1 regional:4 summarized:2 affect:1 exact:2 entire:3 school:1 presented:1 supports:1 wards:1 large:3 excellence:1 small:1 rk:5 accumulation:2 smaller:1 tel:1 ten:1 japanese:4 likely:2 traveling:1 picked:1 dynamics:3 even:1 what:1 plays:1 power:2 section:6 contributed:1 access:1 capital:1 new:5 firms:36 public:2 contrast:1 coefficient:15 focuses:1 transportation:2 behavior:1 degree:40 respectively:1 component:4 here:3 modular:1 focused:1 free:3 groups:1 address:1 directions:1 based:5 publishes:1 institute:1 study:2 studied:3 vespignani:1 social:1 changes:1 patents:8 via:2 useful:2 addresses:4 highly:2 apply:1 hierarchically:1 takes:4 negative:4 transactions:1 few:2 therefore:4 centre:1 until:1 more:5 adjacency:1 watts:1 train:1 tokyo:1 science:3 reviews:1 already:2 example:1 nearest:1 figure:11 give:1 december:1 organized:4 belonging:1 states:1 indicates:7 minimum:1 occur:1 axis:10 united:1 provide:1 travel:5 regions:2 how:3 globalization:1 explains:1 may:5 after:1 derived:1 applications:7 fb:1 horizontal:5 law:2 revealed:1 short:1 natural:1 prefers:1 explicit:1 summing:1 redundant:1 lengths:1 correlation:7 geographic:1 began:1 office:1 over:1 trade:1 paper:7 japan:8 its:2 nontrivial:1 fig:7 clusters:11 them:4 good:1 affected:1 combination:1 press:1 geodesic:2 they:7 front:1 now:2 discuss:9 competitiveness:1 represents:4 february:1 name:1 january:1 university:4 2ei:1 each:6 bridging:3 ei:1 weight:1 osaka:1 reduce:1 frequency:3 measurement:3 laboratory:1 special:1 out:1 network:43 since:2 rev:1 research:1 issue:4 shows:7 interactions:2 possibility:3 difficulty:1 reason:1 asi:1 barab:1 log:2 definition:2 pairs:1 created:1 latitudes:1 times:1 length:9 atr:1 hence:3 facilitate:3 first:1 industrial:18 probability:3 reveals:3 number:8 intuitively:1 done:1 least:1 directly:1 facilitation:1 given:4 their:1 introduction:1 data:5 approximately:1 indicate:1 assumption:1 discussion:1 hyogo:1 hub:1 direct:1 part:4 focusing:2 than:3 positively:1 distance:8 submitted:1 project:2 matter:1 were:1 treated:1 boston:1 longitudes:1 emphasizing:1 need:2 elsevier:1 null:2 any:2 paths:2 studying:1 latter:3 extracted:1 internal:1 take:2 objective:1 trace:1 though:1 reach:2 chart:1 most:3 connected:16 plan:1 pages:1 cause:1 especially:2 considered:1 average:22 cover:1 km:4 inoue:2 enterprise:1 physics:1 particularly:1 supported:1 ravasz:1 relation:1 next:1 networks:12 make:2 nearer:1 promote:1 ratio:6 should:5 only:3 local:1 do:4 dk:1 means:11 quantified:1 joint:13 cannot:4 longest:2 words:1 areas:2 countries:2 arxiv:1 adhere:1 common:1 sustainable:2 discussing:1 view:1 ignored:1 traverse:2 exists:1 correlations:3 observed:1 see:2 result:2 sparsely:1 closer:1 tend:1 various:1 between:14 numerous:2 email:1 europe:1 infrastructure:2 creating:6 vertical:6 nature:2 importance:2 attention:1 jp:1 however:8 harvard:1 key:4 cities:6 distribution:7 linkage:1 topology:1 many:4 region:2 april:1 coe:1 context:1 among:6 ci:1 conclude:1 seems:2 innovations:1 represented:1 maintained:1 path:7 moreover:1 pp:1 publishing:1 create:1 due:1 been:9 pc:5 basic:1 ph:1 define:1 firm:3 obtained:1 enable:2 corresponding:1 sufficient:1 those:2 applied:1 look:1 pacs:1 will:7 policies:4 country:1 hubs:4 situation:1 larger:1 categorized:1 century:1 characteristics:7 thus:1 cluster:7 examined:1 seen:1 alliances:1 technology:1 different:5 develop:1 specialization:1 author:1 patent:26 pay:1 preparatory:1 cumulative:1 shorten:2 same:5 complex:1 largest:6 several:2 powell:1 difficult:1 independent:1 investigated:1 peaks:4 comprehensive:1 published:3 effect:1 recent:2 knn:3 transaction:1 database:1 studies:4 well:1 without:3 solve:1 left:1 distances:1 being:1 competitive:2 oxford:3 rest:1 yet:1 task:1 preprint:1 point:1 had:3 shortcut:1 technological:2 extensive:1 applicants:6 city:4 march:1 around:2 satorras:1 possible:1 scientometrics:1 clustered:2 using:1 souma:2 follows:6 specific:3 individuals:2 steps:2 sparse:1 popular:1 output:1 indications:2 because:5 oltvai:1 creation:2 competition:1 calculated:2 examples:1 strogatz:1 denies:1 scale:3 primary:1 calculating:1 lead:1 measurements:2 extensively:2 linkages:1 connecting:3 innovation:13 porter:1 digitized:1 gakuin:1 business:2 kyoto:3 broken:2 plots:2 analyses:2 properties:1 comparison:1 theirs:1 discussed:3 dependence:1 discusses:1 consequently:2 soc:1 presence:2 previously:1 communication:1 within:1 obtaining:1 nagoya:1 appropriate:1 right:1 references:1 valuable:1 reducing:3 clustering:15 innate:1 area:1 distinctions:1 there:13 long:1 why:1 handbook:1 inner:1 lot:2 was:1 conditional:2 form:1 regard:1 pastor:1 but:5 hierarchical:6 link:10 line:3 removed:1 whether:1 up:1 us:2 cis:1 converted:1 problem:1 similar:1 called:2 links:33 rather:1 abstract:1 contribute:1 physica:1 accounting:1 triangles:1 tends:1 compared:1 no:1 generally:1 nict:1 application:8 other:10 role:1 details:1 spatial:5 thousand:2 node:13 collaborative:5 problems:1 includes:1 generated:1 important:7 peak:1 included:1 genetics:1 structure:8 bullet:1 modules:4 accumulations:1 together:1 original:1 nelson:1 time:4 having:1
|
0705.2499.txt |@word gw:1 dist:3 magnetic:1 results:1 illustrated:1 computation:2 edu:1 partial:2 centers:1 localized:3 whose:3 paris:2 finally:1 elliptic:1 under:6 applied:1 g4:1 jensen:1 far:1 assuming:1 atoms:4 wave:5 rotational:6 every:3 difference:1 condition:2 louis:1 solution:3 ri:3 large:20 bxj:1 science:2 small:15 equation:6 configurations:1 grateful:1 periodicity:1 estimates:1 approximation:2 fold:1 second:3 infimum:1 estimated:1 aim:2 nonlinear:1 appear:1 sum:1 cell:4 experiment:2 above:2 shared:1 3a:1 increasing:1 acknowledgments:1 3d:1 body:3 bi:8 justification:1 here:1 understanding:1 behaviour:2 packing:8 cylindrical:1 free:3 groups:1 address:3 ratio:3 sine:1 equations:1 identifiable:1 study:2 larger:1 allows:2 trial:1 amount:1 periodic:6 hexagon:1 namely:1 gilbarg:1 private:1 replace:1 scaled:2 νv:1 analyzing:1 unit:2 use:3 asymptotic:1 eiωs:1 prove:5 positive:1 france:1 vol:1 explicitly:2 call:1 compactly:1 type:1 ψg:20 possible:4 more:2 separated:2 comparison:1 becomes:1 odinger:1 appendix:2 normalized:1 known:1 cases:1 states:1 springer:2 valued:1 ρg:26 indicates:1 recall:1 challenge:1 erd:1 values:2 example:1 proof:4 grained:1 ma2:1 figure:3 expanding:1 allowed:2 organized:1 sample:3 sphere:7 balibar:2 minimum:1 numbers:1 sense:1 rescaling:1 axis:2 provide:2 holds:1 chemical:1 very:6 criterion:1 optimal:2 verlag:1 sin:2 profile:2 fr:2 packings:1 mat:2 may:2 max:5 derived:2 ball:5 consequence:1 minimizes:3 choice:2 2l2:2 stress:1 introduced:2 effective:1 computations:3 their:1 si:4 so:6 jussieu:2 order:12 typical:1 restriction:1 cd2:1 indeed:3 over:1 insight:1 mainly:1 expects:1 interpreted:1 paper:5 through:1 looks:1 existence:1 kinetic:2 still:1 excitations:1 its:4 derive:4 thank:1 located:2 supersolid:4 masses:1 conway:1 2lπ:1 2e4:1 fruitful:1 better:1 microscopic:1 choose:1 byi:1 lz:2 yi:3 them:1 good:2 numerically:1 fig:2 repulsive:1 rotation:8 bigger:1 easily:1 term:3 gets:3 equality:4 always:1 university:1 2d:2 realistic:1 inequality:3 l2:1 l3:1 each:10 2l:2 2m:1 universit:1 characterized:1 referred:1 homogeneous:1 differential:1 directly:1 hales:1 josserand:6 ed:1 energy:14 hard:1 related:2 literature:1 measure:3 quantum:6 our:1 ev:2 supersolids:1 out:1 canada:1 bxi:3 matrix:1 robert:1 since:8 rev:4 denotes:1 particles:2 behaviours:1 laboratoire:1 formula:1 size:4 induction:1 occurs:1 math:3 common:1 chevaleret:1 mechanisms:1 diagonal:1 possibility:1 bumps:2 york:1 estimate:11 odlro:2 e0:2 definition:3 interaction:7 r2:3 could:2 times:1 introduction:1 exponentially:3 hence:8 calc:1 first:4 xj:2 xi:16 xn:2 relate:1 ez:7 number:7 approximate:1 done:1 another:2 array:1 electronic:3 blanc:2 given:3 checked:1 iω2:1 bears:1 test:1 interact:1 equ:1 system:6 least:4 indicate:1 intermediate:1 1d:3 leggett:7 too:1 lot:1 centered:3 exactly:1 optical:1 authors:1 off:1 translation:1 believe:2 than:4 toronto:3 distance:7 thermodynamic:1 depends:4 limiting:2 superfluid:2 determined:1 pairwise:1 providing:3 comput:1 ann:1 harnack:1 disjoint:2 seen:1 hexagonal:3 occupied:1 any:3 viewed:1 zero:4 depending:1 self:3 note:3 instance:2 potential:7 take:2 jastrow:1 modulus:1 roton:1 cnrs:1 added:2 maris:1 coordinate:1 connected:1 jul:1 phase:9 marie:1 class:2 annulus:1 considered:1 average:2 differ:1 face:1 curie:1 points:6 exp:1 mechanical:1 xavier:1 away:1 fact:5 supersolidity:4 superfluidity:1 rayleigh:1 supported:2 minimizing:3 relation:2 solutions:1 find:4 dilation:1 ground:24 x1:2 based:3 knowledge:1 parameters:1 explain:1 outside:1 should:2 only:4 going:1 local:3 rica:7 do:2 dominant:1 get:3 satisfied:1 cannot:1 aδ:1 aforementioned:1 new:1 lattices:1 du:1 dr:10 gl2:2 heaviside:1 m5s:1 conditions:1 arxiv:1 aftalion:2 experiments:2 predicted:1 london:1 fixed:2 pitaevskii:1 satisfy:2 set:4 computed:2 reference:1 achieved:1 eulerlagrange:1 see:8 full:1 radius:1 result:1 w0:1 discussions:1 close:7 satisfies:1 jerrard:1 closer:1 review:1 state:22 various:1 between:7 boundary:7 approach:1 multiplied:1 terms:3 creating:1 nature:1 however:3 key:1 configuration:2 inertia:12 suggested:1 last:2 region:2 equal:4 sensitive:1 dated:1 argue:2 expression:3 experimental:2 otherwise:2 among:3 extent:1 point:4 corresponds:1 cd:3 dimensional:2 non:6 decreases:2 lagrange:2 moreover:7 described:1 basis:2 union:1 due:1 been:1 ai:53 reduction:1 coarse:1 interest:2 expected:2 pn:1 define:3 wants:1 aj:13 determination:1 c3:1 c2:1 c1:1 present:1 case:4 ishiguro:1 pacs:1 solid:11 expanded:1 value:5 will:2 while:1 proves:1 aii:2 euler:2 property:4 layer:5 almost:3 ir:1 thus:10 site:1 vn:1 according:1 need:1 itself:1 cond:2 exterior:1 helium:5 different:2 journal:1 make:1 lett:3 complex:1 largest:1 proved:1 several:1 infer:1 independent:2 used:2 peaks:1 cubic:2 i0:6 hand:2 moment:5 kim:3 infinite:3 normalization:1 recent:1 relies:2 lower:4 schr:1 center:1 minimize:3 possessed:1 min:2 well:1 analysis:1 solids:4 trudinger:1 sets:12 landmark:2 tails:1 model:14 dimension:5 distances:1 proposed:5 less:1 obtain:1 vanishes:2 shape:4 intervals:1 λg:2 using:2 initial:1 europ:1 density:12 except:2 lattice:4 setting:1 location:1 theorem:2 complements:1 momentum:2 real:1 rescaled:1 around:3 february:1 period:1 smallness:1 integer:4 part:1 2nd:1 like:3 follows:1 2gt:2 specific:2 yields:5 ncri:5 sloane:1 2dd:1 coordinates:1 classical:9 some:5 pierre:1 born:1 deduce:1 respect:4 matching:1 nonzero:1 gross:1 dense:1 umr:1 per:2 does:2 provides:8 tends:4 imply:1 minimal:1 inserting:1 core:1 minimization:2 rescale:1 equivalent:1 agreement:1 expansion:1 rue:1 step:3 found:1 bx:3 properties:2 a1:1 about:2 ol:2 constraint:2 numerator:1 range:2 mean:1 os:1 jacques:1 raised:1 letters:1 presence:2 communication:1 into:2 within:1 integral:1 bound:1 contrasts:1 appropriate:1 tiny:1 elementary:1 proportional:1 refined:1 mere:1 legget:1 ontario:1 support:1 there:4 u0:2 long:1 dispersion:2 bump:1 appl:1 lions:1 fraction:3 var:1 was:3 eg:12 function:12 isoperimetric:1 complete:1 form:1 but:6 volume:4 atom:1 line:2 true:1 prokof:2 he:1 made:2 compute:2 supp:1 wish:1 vacancies:1 variations:1 us:4 theoretical:4 crystal:13 below:1 limit:9 problem:9 similar:1 ωd:2 strongly:2 constant:4 defined:8 ak:1 describe:2 chan:3 denote:1 dirac:1 cx3:1 exist:2 inf:12 check:2 sasaki:1 physical:1 functions:4 nk:1 nl:1 no:5 dashed:1 when:12 ne:1 field:3 other:4 remarks:1 department:1 mathematics:1 conclusion:1 models:1 nonclassical:2 variation:1 deriving:1 a0:4 important:1 peak:1 4g:1 included:1 needed:1 implies:10 assume:3 pomeau:8 interval:1 4n:2 mass:4 understand:1 n2:1 having:1 once:1
|
0705.2500.txt |@word represent:1 monte:2 sci:3 consider:1 similarity:1 caused:1 dynamic:1 results:2 existing:1 leads:2 stochastically:1 gm:6 denotes:1 contributions:2 sung:1 causes:3 rigidity:17 particles:2 πgm:1 subjected:1 charge:8 those:1 under:3 stochastic:5 sepangi:2 include:1 worth:1 applied:4 g1:2 implicitly:1 rise:1 conditions:1 induce:3 angstroms:1 embark:1 affect:1 emphasized:1 deformations:1 treating:1 hamiltonian:15 cause:1 solution:3 large:2 vector:1 small:1 accumulation:1 configurations:1 osmotic:1 smaller:3 tel:1 direct:1 nanometers:3 surrounding:2 second:1 ǫm:4 further:1 dynamics:3 estimated:1 carlo:2 linear:2 blue:2 will:1 what:2 appear:2 nano:2 section:3 near:2 expressed:1 thickness:6 current:2 above:7 net:4 poorly:3 method:1 satisfy:1 κm:1 iran:3 respectively:3 µm:2 component:1 here:5 objects:1 governing:1 excess:2 κt:9 along:1 strong:1 equations:2 appears:2 change:1 deduced:1 box:1 undulation:1 dividing:1 institute:1 study:6 studied:5 experience:1 herrmann:1 resulting:4 constitutive:1 poisson:1 opinion:1 fourier:2 changes:3 ponomarenko:1 via:2 useful:2 extra:2 explained:1 katsnelson:1 ipm:2 flexibility:1 decrease:4 total:3 derivatives:1 use:1 proceed:1 would:4 positive:1 negative:6 roughening:6 few:3 therefore:3 m2:1 taken:2 black:2 theoretical:1 possible:1 more:2 flat:9 becomes:1 rigid:1 particular:2 cases:1 shahid:2 logarithm:1 valued:1 room:1 science:1 equation:8 work:2 modified:2 values:19 following:4 making:1 root:3 example:1 ions:2 weaker:2 figure:10 give:1 process:1 expanding:1 organized:1 monge:1 impermeable:1 novoselov:1 salts:1 influenced:1 goal:1 discussion:1 σel:8 roughness:30 write:5 currents:1 mj2:11 parameter:1 simplicity:1 mat:2 afm:1 may:13 earlier:1 variant:1 applications:1 plane:4 coster:1 yielded:1 parallel:1 stress:2 jiang:1 dynamical:3 effective:4 schneider:1 correspond:4 introducing:1 so:3 expression:3 fundamental:1 correlation:7 representation:2 looking:1 order:6 typical:5 holds:1 move:1 satisfied:1 stability:1 thermal:2 paper:3 statistical:1 mentioned:3 kinetic:1 its:3 outer:1 treat:1 ln:2 interesting:1 lateral:2 solving:1 decreases:4 systems:1 main:1 versus:3 non:1 affected:1 integral:1 fig:4 introduce:1 mention:1 effects:8 they:2 schedin:1 accumulate:2 now:1 structural:1 represents:2 february:1 electro:1 always:1 university:2 presented:4 2d:1 micro:1 magnitude:1 instabilities:1 instability:1 residing:1 processes:1 referred:1 square:2 weight:1 tension:27 series:1 energy:3 displacement:1 static:1 our:3 extract:1 out:1 shown:4 rr:1 factors:1 vj2:1 since:4 squared:1 research:1 increase:6 induced:2 ref:1 red:2 shows:2 solvent:1 theory:4 fluctuates:1 interactions:1 discontinuity:1 mechanisms:1 free:4 lesser:1 estimate:1 bilayer:1 interaction:3 created:1 keep:1 motion:2 length:5 ionic:1 integrand:1 upper:1 clear:1 employing:1 done:1 biol:1 another:1 electronic:2 size:2 given:2 sheet:2 temperature:3 indicate:1 introduction:1 leading:3 top:3 behaves:1 system:1 their:1 assumption:2 chem:3 too:1 limited:1 molecular:5 violated:1 observations:2 floppy:1 κel:7 morozov:1 part:3 x2:2 x1:2 representing:1 than:2 diffusion:1 relative:2 hundred:1 depends:2 bilayers:1 were:1 solely:1 damping:2 w2:2 membranes:22 fluctuation:1 spectrum:1 curves:3 chapman:1 manner:1 conjugate:1 curved:1 concentration:1 slab:1 clearly:1 strength:5 convenient:1 note:4 extracted:1 potential:1 field:53 encyclopedia:1 conductivity:3 differences:1 electric:53 normal:1 amal:1 rhs:1 viscosity:1 boltzmann:3 significant:1 fluctuate:1 kb:6 advantageous:1 consequences:1 considered:2 medical:2 kh:1 stronger:2 inferred:1 physica:1 reflecting:1 exp:1 mechanical:1 undulations:6 charged:8 physics:3 sum:2 fact:1 quantity:1 particularly:1 phenomenon:1 show:3 withstand:1 random:2 tehran:3 relation:4 keywords:1 substituting:1 d2:6 find:1 beheshti:2 boundaries:1 giant:1 based:2 q4:1 parameters:8 conduction:1 written:4 should:2 only:1 micron:1 screening:1 molecules:1 factor:3 employed:1 constant:1 local:2 do:1 seifert:1 goes:1 dg:1 lehmann:1 membrane:81 fluid:3 preferred:1 facilitated:1 nearly:6 canham:5 ged:1 dq:1 evolution:1 increasing:2 electroanal:1 fields:6 arxiv:1 wiener:2 patch:1 sens:1 investigate:3 europhys:1 langmuir:1 hydrodynamic:1 fixed:1 communicated:1 view:1 enhances:2 computed:2 reference:2 variations:2 frame:1 gouy:1 hoek:1 observed:1 namely:1 electrostatic:2 result:3 enhanced:1 discussions:1 unaltered:1 bhattacharjee:1 subject:1 surfaces:1 said:1 tensor:1 below:1 energetics:2 symmetric:1 behind:1 various:1 closed:1 between:3 conductive:2 drawn:1 boundary:1 approach:1 across:3 kel:2 terms:5 vertical:1 weak:2 arakelyan:1 ofequilibrium:1 however:1 js:1 vanishing:1 inclusions:3 no:1 demonstrate:1 interface:3 rapidly:1 vesicles:3 both:3 last:1 freely:2 density:4 attributed:1 cylindrical:1 figures:1 contribution:4 estimation:2 safely:1 σt:11 relevant:1 2nm:2 point:1 simple:2 height:13 ggm:1 respect:4 geim:1 described:1 addition:1 due:4 been:5 describes:1 helfrich:6 flexible:2 ph:1 define:2 obtained:1 direction:1 enable:1 corresponding:2 suppress:1 300k:2 dramatic:2 tense:1 external:15 rupture:1 present:4 case:3 klaus:1 look:1 pacs:1 lipowsky:2 engineering:1 value:2 employ:1 while:3 suppose:1 behavior:5 colloid:1 situation:2 larger:2 cell:1 almost:3 averaging:1 graphene:1 ir:1 thus:1 surface:39 middle:3 tissue:1 cond:1 against:1 seen:3 cytoskeleton:2 examine:1 dietz:1 different:5 make:1 transmembrane:1 same:1 complex:1 several:2 grows:1 higher:3 used:9 see:3 trajectories:1 evin:2 hand:2 ion:2 arrived:1 kim:1 infinite:3 mentioning:1 lower:1 off:3 center:1 scenario:1 charges:8 studies:1 modeled:1 well:1 roughly:1 analysis:1 materials:1 position:1 model:1 dimension:1 usual:1 bending:16 quoted:1 being:3 obtain:2 reviewed:1 sources:1 shape:1 yet:1 previous:1 adv:1 cut:3 conclusions:2 regarded:1 character:1 tabar:2 lett:5 versa:1 electrical:1 40µm:1 transformation:1 nanoscale:1 real:2 bio:1 fluctuating:3 around:4 showing:2 term:3 increases:3 wavelength:3 using:7 nanotechnology:1 highly:1 apart:1 like:1 sizes:1 follows:4 28c:1 sized:2 either:1 arbitrary:1 become:1 works:1 soft:1 reduced:1 permittivity:1 therein:1 αe:1 often:1 exposed:1 rms:3 calculated:2 table:3 peter:1 nanometer:2 needham:1 ignore:1 entropic:1 describing:1 lead:4 bottom:3 bowen:1 affects:1 langevin:1 contributing:1 tends:1 counterions:3 biology:1 lipid:27 each:3 stem:1 bt:1 pressure:1 relating:2 refers:1 properties:2 panel:7 extension:1 dependence:5 o:2 range:3 repulsion:1 comp:1 mean:4 rev:4 presence:10 previously:1 maxwell:1 into:2 within:1 obtaining:1 three:5 biophys:3 references:2 accumulated:2 additional:1 elastic:4 assumed:1 there:2 transform:1 long:3 aggregated:1 low:1 way:3 hel:1 was:4 assumes:1 combined:1 function:9 medium:1 form:4 regard:2 farago:1 oded:1 especially:1 made:1 characteristic:3 inside:1 attached:1 bounds:1 us:3 solvents:1 limit:5 fluctuations:8 problem:2 panels:2 similar:3 called:2 detailed:1 ac:1 associated:2 computing:1 defined:1 certain:1 abstract:1 contribute:1 influence:8 general:1 single:1 simulations:2 floating:1 500nm:1 nm:4 variety:1 whereas:1 when:10 application:5 other:9 role:1 quantities:1 department:2 mathematics:1 theor:1 kinds:1 calculating:1 variation:6 deriving:1 generated:2 important:3 conductivities:1 variable:1 gets:1 coulomb:1 vice:1 assume:3 salt:2 space:2 time:2 biotechnology:1 starting:1 5kb:1 richard:1
|
0705.2501.txt |@word precise:3 gaussianities:13 diagrammatic:1 gr:1 limited:1 induces:2 green:1 global:4 results:5 leads:10 scalar:5 per:1 expressions:2 contributions:6 weakly:2 vev:4 particles:1 depend:2 re:2 tanaka:1 disposal:1 simplify:1 ıa:1 charge:2 critical:1 kη:1 present:3 th:6 under:1 stochastic:2 presentation:1 applied:1 supported:1 g2:4 advantage:1 far:1 mpl:9 keeping:1 induce:5 geometrical:1 falk:1 pn:1 wishes:1 suggests:1 fall:1 mixing:11 sc4:3 difference:3 matrices:1 sc2:2 tri:12 four:7 dominate:1 level:3 νi2:1 cmb:5 occurs:1 large:15 solved:1 detected:1 form:5 progress:2 small:14 hospitality:1 noted:2 programme:1 upper:2 smaller:6 2k1:1 sin3:1 sin4:1 sin2:3 discover:1 literature:1 approximation:2 byrnes:1 zero:4 lines:7 silverstein:2 further:2 dynamics:1 canonical:1 even:1 established:1 what:6 nonlinear:9 sub:1 fine:2 section:4 rocher:1 contributed:1 expressed:1 debate:1 current:5 3h:12 sur:1 above:1 new:5 acknowledgments:1 coefficient:2 philippe:1 justification:1 degree:3 whose:1 respectively:2 component:4 q3:7 here:11 dore:1 met:2 explore:5 focused:1 possibility:5 eikx:1 directions:2 path:1 along:2 strong:1 respect:1 appears:6 logarithmic:2 q4:8 obtained:5 almost:2 zones:1 rigorously:1 institute:1 involved:1 study:1 larger:3 θs2:3 example:1 sakellariadou:1 prior:1 amount:5 superpotential:4 products:2 explicited:1 stressed:1 e60:1 complicated:1 g2m:1 ne2:1 involves:2 9h:1 prints:1 useful:1 convolution:1 family:3 extra:2 inducing:1 pp:1 maldacena:1 gk:2 visible:2 modulated:2 dvali:2 summation:1 δn:10 circumvent:2 planck:13 unit:2 matarrese:4 use:6 quasi:1 takes:2 would:14 remains:3 positive:2 contains:1 negative:1 jarosik:1 next:2 scenarios:4 few:2 live:1 approach:5 therefore:5 taken:2 means:1 panel:8 type:6 theoretical:6 diagrams:5 more:15 flat:3 liddle:2 bennett:1 conclusions:1 stable:2 corrected:1 curvature:2 triangle:1 stick:1 particular:8 cases:3 iv:1 iii:1 largescale:1 account:4 tachyonic:4 quartic:5 permits:1 recall:1 equation:8 work:3 modified:1 edex:1 instantaneously:1 remain:2 marginalized:1 values:13 thin:2 freedom:4 following:8 excursion:2 riotto:5 asymptotic:4 compare:1 impose:1 cosmological:2 give:2 calculation:3 relativistic:1 preserving:1 neglected:1 define:4 generically:2 dependence:1 high:12 effectively:1 minimum:2 numbers:1 want:1 sense:1 exclude:1 tan:1 k43:1 νi:5 occur:1 string:1 end:11 provide:5 s2:20 s1:11 breaking:4 formations:1 very:9 nontrivial:1 opposite:1 simplifies:1 coleman:2 axis:1 parameter:19 priori:2 astroph:3 description:5 may:1 after:2 derived:5 2k3:1 consequence:2 fb:2 plane:1 cambridge:2 fk:5 associ:1 types:2 efficiently:2 included:1 short:3 natural:2 lyth:4 third:1 sets:2 recombination:1 spectra:3 explicit:3 departure:1 cosmology:5 si:4 cannot:1 so:4 expression:14 allow:3 correlation:5 sc:13 representation:1 subsequently:2 stewart:1 order:29 nearly:1 integrated:1 help:1 enter:1 indeed:6 over:4 soon:1 zel:2 years:1 produced:3 course:1 paper:3 through:2 2v:1 statistical:3 affect:3 existence:1 kinetic:2 still:4 its:18 exchange:2 before:3 observational:3 derive:1 group:1 probability:1 kofman:3 decay:2 interesting:3 masses:2 encapsulated:1 exhibits:2 actually:6 late:2 h2:2 window:1 primordial:12 degrees:1 fig:12 h3:1 main:1 might:2 overcome:1 eventually:2 non:31 good:1 motivated:1 cea:2 gray:3 propose:2 practice:1 evolution:20 introduce:2 cosmologie:1 2p:2 tails:2 effects:7 they:13 producing:1 now:2 realize:1 easily:4 term:29 dirac:1 fully:3 university:1 presented:3 srednicki:1 identified:1 hepth:1 sin:4 wands:2 2g:1 mode:3 each:3 crossing:8 instability:4 entirely:2 difficult:2 characterized:1 constraints:13 domain:6 schemes:1 directly:1 superhorizon:1 needless:1 ee:1 τnl:2 energy:12 reduce:1 gaussian:6 solution:1 weinberg:3 yvette:1 measurement:1 quantum:4 our:5 approximated:1 avoided:1 event:2 es:1 out:3 greene:1 shown:11 won:1 space:8 restricted:1 rep:2 since:3 lagrangian:5 denote:1 denotes:1 content:4 inflationary:33 dsm:1 formula:2 induced:7 issue:1 viable:2 shows:3 uzan:7 k13:4 earlier:1 theory:14 normalized:1 written:1 favored:1 mechanisms:1 differ:1 free:7 standard:4 difficulty:1 approaches:2 necessarily:1 formation:1 nongaussianities:1 generate:1 definition:1 hubble:17 interaction:2 bellido:1 language:1 constraining:2 could:4 area:1 cosmic:4 irrespectively:1 david:1 ahler:1 place:3 massive:3 tempting:1 corrections:5 first:7 origin:2 initial:6 isbn:1 symmetry:3 2p0:1 jeannerot:1 variables:2 number:9 reaches:1 exact:1 trispectrum:9 dominating:1 long:7 another:3 changing:1 carry:1 thick:2 precisely:6 between:3 given:17 perturbation:3 temperature:2 service:1 width:1 introduction:3 leading:3 crossings:1 behaves:2 construct:1 their:5 intermediate:1 too:2 calculations:4 realization:2 observations:4 interests:1 terminates:2 relative:4 observable:2 transverse:2 part:10 somewhat:1 authors:1 classically:1 advocated:1 than:7 coefficients:1 detection:1 kind:1 sectors:1 resembles:1 favors:1 require:1 tree:8 see:10 peculiar:3 succinctly:1 determined:3 validity:2 supposed:1 amplitude:12 were:1 distinguished:1 perturbative:9 questionable:1 curvaton:7 generality:1 fluctuation:4 correction:3 spectrum:21 regime:9 correspond:6 direct:1 say:2 unlikely:1 experimental:1 close:2 seen:1 constrained:3 correlators:3 clearly:2 dη2:2 constructions:1 tristan:1 built:1 able:1 depending:1 efficient:4 essentially:2 latter:2 responsible:1 physique:1 gravity:1 mechanism:6 polarization:1 instance:7 k1:50 potential:25 square:1 take:5 k4:15 spergel:1 negligible:1 subject:1 modulus:1 linde:5 adopted:2 play:3 added:1 multiple:7 fundamental:1 trace:1 index:6 object:1 most:3 involving:1 connected:4 plan:1 significant:13 formulae:1 phase:8 analytically:2 intrinsic:2 class:1 appear:2 astro:18 χs:2 observation:1 consequences:6 considered:2 clear:1 later:1 kn:2 playing:1 feynman:1 nolta:1 principle:1 exp:2 kt:5 thank:1 shafi:1 effect:3 charged:1 physics:19 away:1 fact:2 quantity:1 sector:6 particularly:1 show:5 text:1 random:3 anyway:1 purely:2 relation:2 solutions:1 participate:1 astrophys:1 trivial:1 d3:3 ground:1 done:3 slow:3 based:5 knowledge:1 parameters:6 much:6 will:19 original:1 distributed:2 enough:5 start:1 should:3 only:14 explicitly:3 ambiguity:1 essence:1 local:4 interested:3 altough:1 rangarajan:1 do:2 dominant:1 get:3 de:8 expectation:3 mission:2 joint:3 bean:1 ones:3 legitimate:1 competing:1 during:16 dt:3 areas:2 prime:1 imprint:1 regarding:6 fields:25 arxiv:3 suggested:2 tuned:1 negligeable:1 qc:1 dovich:2 though:4 alishahiha:1 fixed:2 pdfs:1 generations:1 view:2 predictive:1 requirement:1 set:3 mess:1 computed:6 exists:2 achieved:1 sitter:5 national:1 correlations:1 hη:1 transferred:3 observed:6 depends:4 full:2 result:3 discussions:1 recently:2 forthcoming:1 expects:1 acquires:1 exploited:1 wmap:3 seery:2 subsequent:3 review:5 leg:1 supergravity:2 state:1 difficulties:1 various:2 correctly:1 simplest:1 αi:2 according:3 justified:1 conditions:4 discovery:1 multiplied:3 ends:1 ikx:1 terms:19 extend:1 complementary:1 importance:4 sole:1 however:12 efficiency:1 vanishing:5 french:1 florence:1 distinguish:1 rapidly:1 precious:2 configuration:8 suppressed:1 exclusion:2 motivations:1 both:4 recherche:1 θs1:3 last:3 limits:3 efolds:5 region:1 density:2 equal:6 against:2 tkachev:1 april:1 komatsu:3 mildly:1 context:9 hinshaw:1 exceeds:2 pdf:3 contribution:10 expense:1 whole:2 finds:1 comes:2 otherwise:1 arbitrarily:1 strongly:1 murdin:1 relevant:1 tong:2 point:15 simple:1 effective:5 period:5 represented:1 simply:1 framework:1 dependance:1 cancel:1 constant:10 cq:1 throughout:1 considering:1 finally:3 light:2 described:4 tuning:1 second:6 trajectory:1 radiative:5 due:13 been:12 offers:1 galilei:1 interest:4 expected:14 equivalently:1 ph:22 δs2:3 unchanged:2 pl:3 δs1:2 wants:3 gaussianity:2 direction:9 relations:1 supersymmetric:5 equilateral:1 received:1 6h:2 6i:2 precision:1 locations:1 shapes:1 ensuring:1 demand:1 k3:25 fokker:1 former:1 those:14 matter:1 case:16 k2:41 p0:4 pacs:1 solid:6 crossed:1 straight:1 appearance:1 value:11 aim:2 frameworks:1 while:3 supersymmetry:5 behavior:6 shift:1 situation:2 2k:1 conformal:1 couplings:2 loop:6 bin:1 detailed:1 vd:2 vf:2 coupled:1 phenomenological:7 metric:22 thus:1 them:1 encountered:2 ii:1 ih:2 ik:1 im:1 dη:2 susy:1 affected:1 vanish:2 galileo:1 ric:1 mpc:1 comments:1 different:6 bernardeau:7 develop:7 combination:2 approximatively:1 generic:5 suggest:1 cross:2 same:7 any:7 unity:7 complex:6 potentially:3 units:2 resulting:7 finite:2 infer:1 higher:2 independent:2 satellite:1 extended:4 cubic:4 drives:2 sym:11 hand:1 driven:3 v1:4 dη1:2 potentials:5 angle:9 protected:1 felder:2 hamiltonien:1 recent:1 safe:1 fourier:2 modes:10 scenario:3 largely:1 k22:1 confronted:2 tentative:2 well:3 roughly:1 analysis:1 obviously:7 s22:1 patterns:1 without:1 gnl:3 inflations:1 model:8 soviet:1 self:5 left:9 stringent:1 proposed:2 moments:2 hybrid:9 actions:1 vanishes:1 infeld:1 shape:6 inflaton:10 identify:1 thanks:2 harrison:2 k23:4 ng:8 previous:5 note:6 enters:1 hint:1 etruy:1 scales:4 had:1 exceed:1 parts:2 valid:6 transformed:1 location:5 euler:1 build:2 real:4 aspects:1 rev:15 represents:1 read:4 phenomenology:2 breaks:1 advocate:1 absence:1 possible:11 phenomenologically:1 corresponds:6 early:2 eorique:1 inflation:40 reads:2 makes:1 background:5 vacuum:3 press:1 using:2 bit:2 8πg:1 domains:1 formal:4 loss:1 necessary:2 like:2 particle:5 shaped:1 confront:1 adiabatic:3 addressed:1 specific:4 similarly:1 encyclopedia:1 either:1 arbitrary:1 setups:1 canonically:1 soft:1 reduced:3 jean:1 indications:1 because:6 garc:1 namely:1 underwent:1 some:7 cnrs:1 born:1 towards:2 nonetheless:2 moreover:1 star:2 predicts:1 traj:2 ourselves:1 superposition:2 anisotropies:3 provided:5 scale:17 represent:1 lead:8 bottom:1 affects:2 avoid:2 measurements:1 extensively:1 microwave:1 conservative:1 contributing:2 does:3 landscape:1 assuming:2 bessel:1 demonstrated:1 schaefer:1 power:9 journal:7 l1:1 bi:5 expansion:4 how:1 evolve:1 although:2 found:1 plots:1 imaginary:3 francis:1 super:18 properties:8 stage:1 rare:2 geometries:1 extension:5 constraint:9 coexist:1 universe:5 discussed:1 develops:1 o:1 page:1 cancelation:1 extensions:2 lidsey:2 horizon:17 introduced:1 consequently:1 other:4 automatically:1 own:1 letters:6 letter:1 previously:1 spht:1 into:5 within:1 predictions:1 bound:4 three:7 nothing:1 right:4 fruitful:1 physical:4 significantly:2 a3:1 k12:1 rely:1 weight:2 hep:14 log:10 m4:1 transfer:1 suffice:1 there:10 transform:6 specifically:1 genuine:1 gif:1 quadratic:2 low:6 way:4 astrophysics:2 was:6 opens:3 naturally:4 function:21 triggered:1 signs:1 attempted:1 hw:1 but:13 volume:2 construction:2 observes:2 encoded:1 line:19 squeeze:1 vevs:5 partially:1 made:1 compute:4 slope:1 whether:2 prevents:1 gravitational:2 uv:1 interacting:1 up:3 us:6 tan2:1 gk1:3 below:1 decays:1 limit:2 uk:1 grasp:1 fluctuations:33 distribution:7 stages:1 similar:4 gk3:3 regimes:1 originating:1 dots:1 gk2:3 associated:1 corrective:2 defined:7 ah:1 ak:1 contribute:3 postma:1 vertices:1 dashed:10 single:3 au:1 fnl:7 formulation:1 corresponding:3 formalism:2 distributions:1 sasaki:3 constructed:1 functions:4 compared:4 dotted:2 variety:1 amounts:1 cos:4 whereas:2 when:17 ne:17 lately:1 field:68 setting:2 role:3 details:4 papers:2 test:2 bispectrum:12 roll:4 reconsider:1 energetic:1 models:35 peiris:1 isocurvature:5 ξs:1 vertex:1 variation:1 andrew:1 generated:4 important:2 cos2:2 k33:1 variable:1 astronomy:1 structure:3 bartolo:4 implies:4 coupling:15 assume:4 typically:3 dynamically:1 required:1 saclay:1 together:1 having:1 reproduce:1 implied:1 mass:7 χi:6 time:13 n1:1 n2:1 mean:1 application:2 strings:4 classical:6 once:2
|
0705.2502.txt |@word ibid:1 monte:1 measurements:1 consider:1 induces:1 green:1 lack:1 desirable:1 results:4 existing:1 leads:1 olive:2 scalar:10 squarks:1 remarkably:1 contributions:3 localized:1 content:1 maximally:1 depend:2 paris:2 tait:1 technique:1 a19:1 chances:1 finally:1 program:1 aut:1 excluded:1 stable:2 te:2 lkp:11 ionizing:1 supported:3 amplitudes:2 presently:2 advantage:1 very:5 bergstrom:2 rise:1 cerde:3 lrt:1 ilias:1 difference:1 vast:1 entire:1 gov:1 presented:3 erratum:1 tion:1 correct:1 large:8 discrete:1 race:1 science:1 small:2 enhance:1 noted:1 gb:2 jhep:3 cierva:1 ued:3 consistent:1 lightest:3 direct:8 aip:1 likely:2 cost:1 enhancement:2 carlo:1 targets:9 tev:1 even:1 neutralino:11 rate:6 chicago:1 sun:2 section:7 current:3 axial:7 experiment:3 ko:1 new:3 contributes:1 tchannel:1 filled:1 supporting:1 simultaneously:1 behavior:1 degree:1 exchange:5 respectively:2 component:1 residual:2 here:2 water:1 explore:2 2kg:1 operating:2 possibility:2 situation:1 represented:2 quite:2 cf3:10 extreme:1 obtained:3 search:1 institute:3 study:3 larger:3 allows:3 astrophysique:1 simultaneous:3 resulting:2 usually:1 makes:3 composed:1 via:3 extra:2 forbid:1 annihilations:1 neutrons:1 apply:1 neutrino:2 use:1 quasi:1 russell:1 would:3 predictions:3 france:1 scenarios:5 few:1 depicted:1 m1:3 therefore:1 m2:1 taken:1 exhaustive:1 panel:2 theoretical:4 diagrams:1 more:5 jungman:1 upcoming:1 successful:2 under:2 award:1 tested:1 normalized:1 excellent:2 known:2 arago:1 cases:1 must:2 involve:1 ma:1 room:2 mb:5 tunnel:1 sensitivities:1 challenge:2 work:2 modified:1 higgsino:1 theories:2 reviews:1 mq:2 emitters:1 those:1 compare:1 iodine:5 cosmological:3 scan:3 f8:2 agent:1 high:2 effectively:2 minimum:1 performed:2 degenerate:2 allowed:6 tan:2 occur:2 magenta:1 roszkowski:1 information:1 goal:1 provide:3 discussion:3 means:1 feature:1 workshop:1 regions:2 far:1 kamionkowski:1 optimal:2 profiting:1 parameter:6 astropart:1 simplicity:1 rept:3 plans:1 higgsinos:1 different:4 plane:1 data:2 response:2 types:1 bino:1 short:1 liquid:2 higgs:5 light:1 lines:2 rather:1 si:3 spain:1 wino:1 sm:4 region:1 increase:1 order:5 complementary:1 interpretation:1 aforementioned:1 noteworthy:1 pointed:1 mainly:1 kong:1 produced:1 experiments:7 through:5 lsp:2 hooper:4 kinetic:1 its:2 lepton:1 jic:1 decay:1 interesting:2 masses:4 expectations:1 boson:4 actually:1 destroyed:1 mu:3 absence:1 distinguishing:2 fig:10 constitutes:1 orange:1 might:3 supersymmetry:1 versus:2 violating:1 good:1 motivated:3 thereby:1 was:2 universality:1 practice:1 matchev:3 enrico:1 superheated:2 effects:1 noz:3 accumulate:1 1b:1 day:4 association:1 easily:1 term:2 servant:2 university:1 level:6 backgrounds:2 composition:1 mode:1 2b:1 electrically:1 found:2 universit:1 sato:1 referred:1 heavy:1 significantly:3 inputs:1 energy:1 reduce:3 squark:2 challenges:1 astrophysical:1 measurement:5 substantially:2 our:1 operation:1 event:4 special:1 out:1 leave:1 shown:4 them:1 rq:2 space:6 furthermore:1 since:1 crucial:1 m2q:1 research:1 particles:9 attracted:1 dominated:1 theoretically:1 neutralinos:1 squares:1 ref:1 viable:2 red:1 b481:1 linear:1 interactions:6 ısica:2 departamento:1 standard:2 cut:1 approaches:1 bolte:1 included:1 onoma:1 detecting:2 kakizaki:2 scopel:1 juan:1 kribs:2 degeneracies:1 pairs:1 interaction:6 ministry:1 cdms:1 could:1 inexpensive:2 cosmic:1 phy:1 silicon:1 place:2 massive:2 universidad:1 liquids:1 first:8 xi:1 symmetry:1 succeeds:1 number:3 will:3 klapdor:1 directly:2 spanish:1 precisely:1 dobrescu:1 given:2 boulevard:1 temperature:2 introduction:1 leading:3 interact:2 adopted:1 1a:2 assumption:1 ton:3 observations:1 rates:1 national:1 low:2 exploring:1 fraction:1 baryon:1 took:1 electroweak:3 extended:1 crosssection:1 than:3 modes:2 observed:2 observatory:3 target:11 sections:2 require:1 kishimoto:1 second:6 project:2 matter:8 fermionic:1 determined:1 burnell:1 contribution:1 f10:4 scans:2 exhibit:1 schmaltz:1 measure:1 spectrum:1 need:2 relic:2 any:1 ray:1 bednyakov:1 uncertainty:1 essentially:1 latter:1 inspired:2 note:1 instance:1 griest:1 potential:2 take:1 so:3 detector:8 strengths:1 channel:2 circles:2 spectral:1 cnrs:1 multiple:1 optimizes:1 populate:1 established:1 collaboration:1 centres:1 neutrinos:1 most:6 propagate:1 but:2 letter:1 98bis:1 alpha:4 marie:1 extremely:1 class:1 volume:1 appelquist:1 kg:7 reduces:1 considered:2 clear:1 detectors:4 coannihilations:1 curie:1 proceedings:1 part:3 subsequent:1 constrain:1 left:2 physics:5 fact:1 precise:1 show:3 bertone:3 random:2 tenet:1 gauge:2 earth:1 principal:1 partners:1 feng:1 based:2 parameters:6 less:2 only:4 candidates:5 employed:1 kaluza:2 achieve:1 predict:1 dm:28 dominant:1 gev:4 klein:2 di:1 dependent:12 vary:1 de:6 overall:1 fluid:1 cannot:1 closely:1 combinations:1 during:1 silk:1 areas:1 gray:1 processes:1 σpsi:6 fields:1 arxiv:29 network:1 zaharijas:1 contrast:2 implication:1 view:1 set:1 constructing:2 achieved:2 sensitivity:7 operates:1 detection:24 see:6 chambers:3 forthcoming:1 best:1 concern:1 preparation:1 exploited:1 interacting:1 nuclear:1 currently:2 supergravity:2 tend:1 xvi:1 donato:1 identification:2 between:6 exploration:1 approach:2 discovery:3 sole:1 terms:3 ability:3 nature:9 initially:1 attention:1 combining:1 however:4 concentrate:1 contamination:1 distinguish:1 emitter:2 both:8 prospects:1 installation:1 bottino:1 career:1 many:3 taking:1 density:2 aqua:1 sensitive:4 flores:1 planned:2 context:1 focused:1 passing:1 argue:1 whole:1 experimental:2 otherwise:1 strongly:1 effective:3 gogoladze:1 community:1 prone:1 upgrades:1 liberal:1 projected:1 points:1 ct:1 conference:1 mssm:1 gondolo:1 discrimination:3 due:4 been:4 strategy:1 int:1 reduction:1 much:1 combined:1 interest:3 certain:1 expected:2 ph:28 universal:3 empty:1 dots:3 loosely:1 arises:1 supersymmetric:2 fire:1 quantities:1 cheng:3 instituto:1 bulk:1 coherent:1 sigl:1 determination:2 systematic:1 c3:2 general:2 spin:20 poised:1 present:1 c4:4 case:9 kleingrothaus:1 solid:1 budget:1 aim:1 while:1 evaluating:1 promising:1 orica:2 couplings:11 studied:2 phenomenological:3 characteristics:1 refs:1 rii3:1 thus:2 non:2 expressions:1 gaugino:1 il:1 susy:10 technology:1 containing:1 italy:1 combination:3 grant:1 suggest:1 make:1 cross:9 same:2 another:1 arguments:1 grand:1 underground:5 several:1 events:1 neutron:3 independent:10 calculation:1 used:2 http:1 receives:1 ferstl:2 blue:1 upon:2 hand:1 running:1 uses:1 macesanu:1 kim:1 supposing:1 collar:1 recent:1 relies:1 lower:1 weakly:3 off:4 center:1 scenario:3 acknowledge:1 no:3 well:5 various:1 austri:1 comes:1 matsumoto:3 dashed:2 model:2 fermilab:1 usual:1 recoils:1 exploits:1 cantoblanco:1 senami:3 germanium:2 identify:1 alternative:1 scattering:5 yet:1 unique:1 candidate:3 conclusions:2 la:1 instr:1 help:1 exclusively:1 topical:1 lett:5 wimps:3 input:1 extensive:1 mod:1 remaining:1 generalized:1 psi:1 march:1 around:1 behnke:1 possible:2 psd:1 dark:7 possibly:1 unification:1 proton:3 background:3 press:1 using:3 poses:1 occurring:1 imposed:1 marzolo:1 particle:9 follows:1 signal:3 specific:1 chamber:4 either:1 sezione:1 fnal:1 nucleons:2 soft:2 reduced:1 fulfil:1 parity:1 www:1 because:2 old:1 often:1 techniques:3 madrid:2 some:3 pierre:1 meters:1 respect:1 indirect:2 matching:2 scale:4 recently:1 dimensions:2 lead:1 umr:1 quarks:3 fluids:3 per:3 does:3 detec:1 hep:26 prog:1 demonstrated:1 run:2 reach:2 equivalent:1 bo:1 illustration:1 how:1 odom:1 although:1 described:1 properties:3 stage:1 comparison:2 usa:1 extension:1 universe:1 kamland:1 range:10 extensions:2 concentrations:1 efforts:1 constraints:2 fornengo:1 rev:13 significant:1 presence:2 trotta:1 within:1 hypercharge:1 nsf:2 rendering:1 appropriate:1 right:2 determine:3 counts:3 reducing:1 fluorine:5 methods:1 uncertainties:1 acknowledgements:1 institut:1 undiscovered:1 support:1 initial:1 question:1 nucl:2 long:1 wimp:7 describes:2 bosons:2 physicists:1 way:1 bubble:3 radiopurity:1 naturally:2 lowest:1 sdp:3 baek:1 brane:1 jul:1 astro:2 neutral:3 construction:1 recoil:1 goals:1 sdn:2 coupp:20 padova:2 count:1 infn:1 made:1 rejection:1 whether:1 multiplicity:1 inside:1 devices:1 kk:6 below:1 fermi:1 demonstrate:1 dgc:2 similar:3 called:2 detailed:1 associated:1 defined:1 implications:1 totaling:1 year:1 deep:2 evidence:1 quantification:1 single:1 simulations:1 education:1 meth:1 compared:1 ideally:1 kavli:2 variety:3 allow:1 generally:3 mimic:2 field:1 other:4 detected:1 details:1 picture:1 may:1 superposition:1 excitation:1 models:8 convincing:1 precision:1 important:1 nucleus:2 suited:1 tackle:1 ellis:3 pinpoint:1 searches:4 independently:1 radioactivity:2 coupling:9 modules:1 together:2 crease:1 reproduce:1 depth:2 mass:9 dot:1 searched:1 nuclei:6
|
0705.2503.txt |@word moret:1 represent:1 partial:4 results:3 leads:1 approximable:1 edu:2 consists:1 technique:6 young:2 program:1 include:1 string:2 corollary:1 worst:1 differentiated:8 t2:6 solution:3 fewer:1 t1:14 item:11 differentiates:2 small:5 upper:2 abbreviated:1 approximation:25 cost:1 picked:1 7th:1 implemented:1 approximability:5 appear:1 section:2 selected:2 while:1 networks:1 designing:1 new:2 increasing:1 method:4 focuses:1 china:2 relaxation:1 based:1 standard:1 obtained:1 renmin:1 items:2 commonly:1 accomplished:1 survey:1 gene:1 addresses:1 family:1 highly:1 decrease:1 sga:16 apply:2 select:1 use:2 prove:3 negative:1 next:1 call:2 therefore:2 type:2 until:1 more:4 formally:1 appending:1 ruc:1 aware:1 known:1 cardinality:1 springer:1 word:1 science:1 following:2 proof:6 beijing:1 give:1 pushed:1 minimum:2 acm:1 arise:1 feasible:1 returned:3 information:3 needs:1 redundancy:15 end:1 goal:1 machine:1 criterion:2 optimal:4 max:1 after:2 collection:1 scalable:1 applications:4 designed:2 bioinformatics:6 fits:1 derives:3 types:1 short:4 natural:3 microbial:1 redundant:1 accelerated:1 algorithms:15 decreasing:1 shvartsman:1 approx:1 least:1 inapproximability:1 paper:4 statistical:1 its:2 ln:47 interesting:1 solving:1 peng:1 them:1 disparate:1 matches:1 practice:2 framework:1 they:1 symposium:2 communities:1 easily:1 term:1 2r:5 university:1 iff:1 each:4 2n:2 subset:1 another:3 hard:1 related:1 meta:4 measure:5 our:3 special:1 out:1 lenstra:1 discrete:1 rounding:3 since:1 lagrangian:1 research:2 content:1 combinatorial:1 performs:2 maximized:1 rn:1 log2:2 linear:1 greedy:11 quite:1 vazirani:2 beginning:1 definition:5 pairs:6 programming:1 times:3 hence:1 hazan:1 chrobak:1 probability:2 number:5 randomized:3 approximately:1 directly:3 size:4 given:2 practitioners:1 observes:1 system:1 construct:1 indicate:1 siam:3 s39:1 relationship:1 asymmetric:1 tool:1 exactly:2 differentiate:1 authors:5 jiang:1 than:10 showed:1 princeton:1 iteration:1 argument:1 say:1 constrained:1 any:3 viewed:1 arora:3 min:5 note:1 instance:3 potential:9 generalized:1 online:1 objective:1 begin:1 unless:1 kao:1 most:2 phase:1 probabilistic:1 especially:2 performances:1 average:1 cover:9 drive:2 fact:1 precise:1 selection:1 phenomenon:2 ravi:1 show:2 probe:2 minimizing:2 find:1 ratio:20 lemma:6 only:2 subsection:1 preliminaries:1 do:1 get:1 de:1 expectation:1 international:3 dt:1 ds:1 runs:1 covering:1 arxiv:1 experiments:1 fixed:1 requirement:3 set:70 sep:1 facts:2 see:1 computer:2 result:7 discussions:2 rajagopalan:1 satisfying:1 pattern:1 currently:1 between:1 recently:1 analyzes:1 problem:3 improved:4 reverse:1 many:1 pdf:1 experimental:1 cn:1 simple:2 sixth:1 simply:1 learning:1 cs:2 oblivious:1 considers:1 better:5 described:1 been:1 instantiations:1 reduction:2 workshop:1 basic:1 define:1 repetition:2 present:1 case:3 multi:1 subsets:1 plain:3 sontag:1 near:1 optimization:1 suppose:1 situation:1 balance:1 almost:1 im:1 dual:1 protein:1 different:2 author:2 suggest:1 problems:7 same:2 clearly:2 virtually:1 used:2 http:1 dasgupta:3 pubs:1 investigates:1 robust:1 tighter:1 recent:1 lower:1 center:1 programs:1 minimize:2 well:1 analysis:4 picks:1 without:2 nlog:1 drawing:1 kale:1 captures:1 obtain:2 unifies:1 immediately:1 differentiation:7 heuristic:1 integer:1 sciences:1 regarded:1 seems:1 theorem:1 input:3 cui:2 tests:12 rnc:1 rnd:3 test:50 selects:1 using:3 variants:1 unique:1 sparse:1 multiplicative:4 output:1 reduced:1 mathematical:1 undifferentiated:1 www:1 some:1 alive:6 escape:1 matching:1 recognition:1 ich:2 proceeding:1 stops:2 tends:1 minimal:1 scientific:1 selecting:2 journal:4 step:2 extension:2 o:7 primal:1 within:1 bound:5 suppl:1 down:1 pair:5 references:1 raises:1 log:2 combinatorics:1 halld:2 there:2 way:2 analyze:1 function:11 orsson:2 but:1 hn:1 methodologies:1 he:2 applying:1 characteristic:1 distinguishability:1 quantitatively:1 theoretical:1 distribution:3 called:2 proved:2 computing:2 defined:2 abstract:1 denote:2 engineering:1 proves:2 nm:2 no:3 when:7 tight:1 branch:1 np:1 draw:1 elements:1 uniformly:1 wirth:1 coverage:1 implies:1 algorithm:23 uncovered:1 weights:4 berman:2 once:1
|
0705.2504.txt |@word neighbors:1 leslie:1 sci:7 systematic:1 chain:13 caused:2 global:1 dynamic:1 focus:1 gy:1 existing:1 eds:1 gc:1 ga:1 tionary:1 consists:1 follow:1 remarkably:2 hooke:1 relationships:2 λij:1 biol:5 depend:1 catalytic:1 re:2 graph:1 technique:1 passage:1 finally:2 rei:1 present:3 stable:4 stochastic:2 slowest:8 include:1 sc:1 suita:1 indicating:1 overlaps:1 case:1 labels:6 string:3 orthogonal:2 far:2 frequencies:1 activation:1 mg:1 induce:1 results:1 figs:4 ending:1 nor:1 deformations:11 condition:1 school:1 fhi:1 vibrational:4 stiff:1 positions:4 dif:1 haber:1 prototypes:1 large:12 discrete:1 insights:1 red:2 ml:2 small:8 biological:4 noted:1 configurations:1 upper:2 smaller:4 slower:1 findings:1 direct:1 approximation:1 rate:4 design:4 displays:1 liao:1 qualitatively:2 dynamics:16 functioning:1 lmin:5 esaki:1 machines:8 approached:1 even:2 what:2 nonlinear:15 sum:2 interactions:2 near:4 supplied:2 networks:50 cell:2 ǫl:2 3n:3 above:1 new:4 net:1 trentham:1 consisting:1 contrast:1 raton:1 coefficient:1 supporting:1 agreement:2 full:1 onuchic:1 malized:1 respectively:2 here:5 understanding:2 selective:1 focused:1 compressed:1 relaxation:56 represented:1 path:7 along:8 xα:3 equations:4 change:4 wait:1 obtained:7 doniach:1 potential:1 colored:2 study:5 yuichi:1 allows:1 adopt:1 amount:1 chemical:2 stiffness:2 usually:1 placing:1 studies:1 involves:1 examining:2 followed:1 macromolecule:1 figure:2 scales:1 analyzing:1 aimed:1 motor:12 stern:1 apply:1 total:2 bovine:1 planck:1 unit:1 ulicher:1 biophysical:1 proceed:3 would:4 distinct:1 ca2:1 splendid:1 kα:1 next:3 few:3 actomyosin:1 therefore:6 taken:2 means:1 iteratively:1 type:1 theoretical:2 more:2 separated:5 mm:1 conformational:21 relax:2 started:1 motors:8 adjacency:1 pairs:1 site:2 berlin:3 rigid:1 normalized:3 particular:1 rare:1 cases:1 producing:1 nodes:25 must:1 logarithm:1 high:2 springer:1 rotational:1 ma:1 deformed:1 science:3 der:2 when:6 modified:2 h17:1 labeled:3 values:2 kendrick:1 following:1 mackinnon:1 example:5 control:2 f1:10 links:13 mpg:1 process:6 joints:1 hydrodynamic:1 states:9 sphere:1 dm:2 performed:2 reed:1 tions:1 rescaling:1 occur:1 native:1 transduction:1 information:1 respective:3 monitoring:1 decaying:1 eng:1 verify:1 discussion:1 holds:2 machine:17 how:2 opposite:1 atpase:11 instead:1 movements:1 parameter:3 displacements:1 fs:4 blocks:1 description:2 influenced:1 may:4 max:1 after:8 variant:1 different:13 biophysics:1 applications:1 plane:8 designed:11 fi:7 fj:1 law:1 data:4 crystallisation:1 constants:1 gaussian:1 short:4 natural:3 dynamical:5 effective:2 enzymes:3 bind:1 shen:1 spectra:2 lines:1 yielding:1 synthase:1 lengths:1 so:3 tilt:1 challenge:1 subsequently:1 order:1 typical:3 evolutionary:8 developed:3 over:1 spectral:7 displayed:4 soon:2 course:1 thermal:2 experiments:1 through:5 looks:1 motions:20 japan:3 satisfies:1 excitations:1 its:13 before:1 lg:1 difference:1 rapidly:3 ligand:28 chandrasekhar:1 la:2 chosen:8 temporal:1 accompanying:1 coordinates:4 li:1 better:1 attraction:1 absence:1 parts:1 systems:5 tors:1 orange:1 clusters:2 main:1 deformation:2 maximal:2 them:9 usa:7 return:1 numerically:1 material:1 ye:1 processes:2 introduce:1 vitro:1 walls:1 detachment:2 effects:3 they:5 1b:1 rotation:1 ther:1 bank:2 structural:8 biomolecular:2 eigenvalue:3 overdamped:1 always:2 university:1 presented:1 proteins:22 perturbing:1 2d:1 sufficiently:1 theory:1 magnitude:2 mode:17 l0:6 each:12 found:2 characterized:2 bond:1 heavy:2 mikhailov:4 domain:3 ei:4 significantly:1 ej:1 generation:1 series:1 energy:5 aida:1 programmed:1 principles:3 snapshots:3 group:3 society:1 meta:3 static:7 expect:1 configuration:2 changed:1 our:4 operation:7 transitions:2 eq:2 special:9 out:2 maximizes:1 living:1 shown:15 matrix:3 space:2 gerstein:1 rev:6 monitor:1 brownian:1 research:1 particles:12 fellowship:1 acting:3 investigation:1 dominated:2 ra:1 performs:2 s180:1 get:1 induced:2 evaluation:1 ri:25 rj:15 shows:6 numerical:2 linear:6 barrier:1 state:20 cholesterol:1 mechanisms:1 given:1 physikalische:1 weakly:1 eigenvalues:7 opin:2 van:1 beginning:1 generate:2 unique:1 fixed:1 retained:2 prepare:1 starts:5 could:3 transition:1 iterative:1 moment:2 linearized:1 motion:10 length:2 place:3 exponentially:1 atp:5 u23:2 hence:1 promotion:1 facilitate:1 crystallographic:1 major:1 there:3 features:1 probability:4 possessing:1 number:4 reaches:1 linking:1 channels:2 construct:2 another:3 changing:1 reached:5 thick:2 electronic:2 differ:1 temperature:2 decrease:1 indicate:3 introduction:1 leading:4 system:1 approximately:1 nanodevices:1 their:13 perturbations:3 rates:2 calculations:1 ordered:2 molecular:15 structures:1 final:1 occupancy:1 free:3 febs:1 elasticity:1 mostly:1 ratio:1 took:1 boca:1 part:1 inhibitor:1 representing:2 than:8 intrinsically:1 center:2 begins:1 relative:7 third:1 cyclic:3 log10:1 require:1 iteration:1 zero:4 binds:1 lmax:4 individual:1 amplitude:1 were:18 video:3 rigor:1 steep:1 usefulness:1 frontier:1 function:3 fig:31 modeled:1 acknowledged:1 cohen:1 faradayweg:1 spectrum:2 correspond:2 randomly:3 substantial:1 further:2 seen:3 nucleotide:2 clearly:1 viewed:4 relatively:2 lie:3 abroad:1 chem:2 allison:1 efficient:1 ation:1 biochem:1 able:1 mechanism:1 emerged:1 fundamentals:1 internal:7 forces:11 green:2 channel:1 machinery:1 blue:6 added:1 though:1 track:1 goldman:1 complexes:1 lactate:1 molecule:3 most:1 regular:1 connected:8 visualizations:1 device:1 rearrangements:1 extremely:1 assemblies:2 tikhonov:1 deviations:5 muscle:2 considered:5 p13:1 calculated:1 sometimes:1 steady:1 counted:1 nanoclusters:1 karplus:1 yang:2 snapshot:2 artificially:1 exp:3 mechanical:4 velocity:1 turnover:1 typically:2 dot:3 directed:1 condi:1 selection:3 intensity:1 show:3 text:1 random:17 friction:2 converge:3 pump:1 find:1 decade:1 principal:1 des:1 slow:8 based:3 ensembles:1 maintaining:1 folded:4 written:1 contraction:2 should:3 failed:1 only:15 going:1 cassette:1 coefficients:1 molecules:2 factor:2 employed:2 curr:2 local:1 proximity:1 equilibrium:31 dn:1 biophys:2 move:1 distance:9 dependent:1 landscapes:1 de:2 wolynes:1 τs:4 cannot:1 nonequilibrium:1 dy:1 during:1 dr:1 requirement:1 alexander:1 evolution:9 conditions:6 arxiv:1 remove:1 method:1 ajdari:1 crc:1 cf:1 architecture:2 activity:1 including:2 cortes:1 cycles:2 favoring:1 lysozyme:2 approaching:1 respond:1 reveals:1 rader:1 set:8 statistical:1 med:1 supramolecular:1 respect:1 evolving:1 light:2 operates:1 connections:3 see:16 computer:1 radius:1 descriptions:1 mj:1 close:5 analog:2 creating:1 phases:1 jet:1 placed:1 subsequent:3 artificial:7 label:1 enough:4 determined:3 various:2 between:14 affecting:1 approach:3 chemie:1 preserve:1 terms:1 reproduced:1 nature:3 initially:2 attention:1 jp:1 however:4 gratefully:1 jn:1 ws:1 magn:1 distinguish:1 article:1 myosin:11 come:1 ja:1 improve:1 reaction:1 essentially:1 toward:1 last:1 reverse:4 many:2 taking:1 according:2 against:3 operating:1 com:1 pdb:2 experimental:1 otherwise:2 erman:2 point:1 color:1 lj:1 address:3 corresponds:2 dimensional:6 directions:4 stretched:3 carbon:1 moreover:3 consider:1 ps:1 strong:3 described:6 second:1 powered:4 stretch:1 trajectory:11 intracellular:1 three:11 been:7 kinetics:1 much:5 slowly:1 pg:1 pd:1 ah:1 applying:4 u13:8 u12:8 define:2 dots:3 generating:1 aj:1 corresponding:5 both:4 residue:1 intelligent:1 gap:16 fritz:1 understand:1 external:3 angles:1 folding:2 ligands:1 those:4 nitude:1 applied:6 levitt:1 macromolecules:2 engineering:1 choices:1 calcium:2 while:3 optimization:13 harmonic:1 cui:2 behavior:5 aij:4 eij:2 limitations:1 region:2 procedure:2 real:2 larger:3 kitamura:1 prost:1 thus:7 non:1 encountered:2 ii:1 characterize:1 scarborough:1 comparative:1 protein:16 ie:1 id:4 around:3 nat:1 confirmed:1 satisfy:1 perform:2 began:1 cross:1 same:7 shorter:2 complex:7 orgyi:1 subunit:3 solution:1 events:1 ac:2 independent:1 used:4 paths:1 trajectories:21 effect:1 ferguson:1 hand:1 ion:2 running:4 moving:1 architectures:3 robust:6 cycle:8 eigenvectors:1 prescribed:1 lower:5 tracking:1 least:1 modes:21 los:1 changes:7 ua:1 nonetheless:1 well:5 p12:1 analysis:7 tama:1 patterns:8 without:2 biosciences:1 boyer:1 mod:1 position:4 model:3 laboratories:1 arising:1 possesses:1 left:3 distances:13 positioned:1 manifold:3 less:2 moments:1 percent:1 observed:2 piazza:1 obtain:1 rest:3 underlying:1 valleys:1 atomic:3 hess:1 lerch:2 previous:1 visualization:1 accepted:3 struct:1 vibration:1 conclude:1 had:2 hall:1 simple:1 spread:1 attractive:7 natl:6 5d:1 possess:4 5a:1 5c:2 identical:4 bio:1 aspects:1 increased:2 easily:1 big:1 measurement:1 possible:1 mutations:5 lett:4 mol:1 using:7 returned:1 adams:1 like:6 particle:3 collective:1 performing:1 specific:4 either:1 arbitrary:3 amos:1 become:1 works:1 soft:12 essential:2 replacement:1 brooks:1 dale:1 because:1 old:1 methods:13 classical:2 sequence:1 narrow:1 loosely:1 phenomena:2 back:2 supplementary:8 zheng:1 acad:7 examples:2 specified:1 transport:1 nonzero:3 provided:1 dense:1 broad:2 annu:1 normal:16 recorded:3 integration:1 per:1 evolu:1 equal:3 chapman:1 mutation:7 provides:1 pattern:5 proc:7 demonstrated:2 bahar:5 bd:1 metropolis:1 noise:3 obey:1 indicated:2 location:1 bm:1 conformation:12 pressure:1 step:1 abteilung:1 although:1 accompanied:1 tokunaga:1 proceeded:1 properties:10 panel:8 gained:1 about:1 neighbours:1 actual:2 nomura:1 hopkins:1 stationary:3 discussed:1 dependence:1 o:1 reduced:3 hinge:6 financial:1 range:1 concentrations:1 germany:1 introduced:1 conformations:3 block:1 cutoff:3 david:1 presence:2 previously:1 into:2 within:9 rotations:2 functional:4 predictions:1 pair:4 appropriate:1 right:2 mitochondrial:1 selected:2 determine:1 proportional:1 binding:17 often:1 sander:1 fast:1 institut:1 additional:5 elastic:55 comparing:1 assumed:1 support:1 initial:24 approximate:1 long:4 noticed:1 dispersion:1 does:1 pared:1 blumenfeld:1 low:2 way:3 forward:1 viscous:1 was:22 osaka:3 miyashita:1 rossmann:1 lowest:1 form:1 metastable:1 some:1 but:3 ford:1 repeated:2 link:1 related:1 atom:1 removed:2 basin:1 coupling:1 dissociation:1 prototype:2 portions:1 uncoupled:1 consist:2 characteristic:6 inside:2 attached:4 until:2 work:2 record:1 below:1 gaps:7 limit:1 fluctuations:2 panels:1 similar:4 agree:1 connect:1 mechanics:1 gesellschaft:1 pij:5 interval:2 constant:2 gating:1 ag:1 rios:1 defined:6 certain:2 decreases:1 uij:22 am:1 general:1 twist:1 single:11 ar:1 nnz:1 simulations:2 yanagida:1 modeling:2 ing:1 distributions:1 constructed:11 again:2 functions:2 compared:1 no:2 biochemistry:1 trials:2 generally:1 graduate:1 application:1 mechanochemical:1 other:7 role:1 details:1 branch:1 becomes:1 ferent:1 conclusion:1 node:8 internally:1 elements:3 energetic:3 models:5 preceding:1 backbone:2 bundle:1 prepared:1 walker:1 chance:1 important:1 pumps:2 allowing:2 additionally:1 linearization:1 namics:1 je:1 enzyme:1 structure:9 network:64 jones:1 regime:1 longer:1 algorithm:3 assume:1 required:1 curve:1 strings:3 mass:2 lying:2 time:11 agw:1 heide:1 starting:7 original:4
|
0705.2505.txt |@word migrated:1 abundances:2 code:6 represent:1 particular:3 results:3 leads:1 signatures:1 go:1 follow:1 nega:1 transits:1 devoted:1 whose:2 zone:2 graph:4 send:1 those:6 excluded:1 under:1 spec:1 socalled:1 sound:5 luminosities:1 very:9 frequencies:18 induce:1 choice:1 simbad:3 fall:1 mixing:4 difference:1 exact:2 metals:1 presented:5 did:2 radii:1 large:18 solid:2 phase:2 small:22 programme:2 upper:12 strongly:1 smaller:3 specially:3 oscillation:4 consistent:3 pulse:2 sign:5 second:2 tarbes:1 profiles:1 further:1 targets:2 zs:1 even:1 established:1 richard:1 sun:4 section:1 selected:4 http:2 near:2 thicker:1 consistently:1 above:1 fractional:2 crossed:1 era:1 satisfy:2 layers:1 led:1 degree:1 respectively:1 error:9 here:1 understanding:1 behaviour:7 ulb:1 tracks:18 groups:5 november:1 observing:3 change:2 obtained:5 search:1 division:1 involved:1 study:5 studied:1 reason:1 contradiction:1 astrophysique:1 udry:1 published:1 studies:4 plotted:2 ratios:1 buser:1 extra:1 namely:1 integrations:1 apj:7 visible:2 logically:1 opacities:1 research:1 cloud:1 iglesias:2 use:1 asymptotic:2 working:1 remains:2 positive:1 negative:9 pasj:1 france:1 butler:3 black:1 consecutive:1 type:6 diagrams:9 more:12 fractions:1 son:1 determinations:1 relax:1 clearly:1 becomes:2 acceptable:1 pelletier:1 about:1 tested:1 visual:1 labelled:3 excellent:1 known:2 cases:4 iii:1 potential:1 must:1 dex:1 account:6 crosses:2 tokyo:1 ed:2 equation:2 values:12 temperatures:2 henry:1 following:1 ta:1 figure:7 give:2 process:2 cited:1 vauclair:18 high:1 assumptions:3 performed:3 νl:6 sharp:4 νn:10 hydrogen:2 absolute:1 lamb:1 end:5 provide:1 µhz:6 discussion:4 meanwhile:2 regions:1 how:3 varies:1 hor:3 instead:2 parameter:1 brassard:4 massive:1 fr:2 may:12 reaction:1 derived:8 orbits:1 diagram:4 wrong:1 plane:2 fe:15 waves:9 spectrometer:1 horizontal:1 law:1 data:1 types:1 times:1 abscissae:1 changes:3 drop:1 effective:8 computations:3 separations:29 correspond:7 extrapolation:1 so:3 sect:10 allow:2 enters:1 dz:1 order:8 travel:1 evolutionary:19 help:2 developed:1 astronomical:2 displayed:2 mission:2 course:1 paper:4 preliminary:1 y0:1 still:1 its:5 features:2 observational:6 chemical:1 derive:1 outer:3 fit:1 chosen:2 interesting:6 masses:3 hot:1 edge:3 catalog:2 detected:3 primordial:1 microscopic:1 systems:2 convective:15 main:15 correspondence:1 them:3 yc:1 material:1 runs:2 number:2 framework:2 penetration:1 effects:1 they:11 front:1 ys:1 gravities:2 discuss:4 nor:1 structural:1 represents:2 february:1 always:1 cuisinier:1 classified:1 identified:1 composition:1 realistic:2 magnitude:2 mode:3 radial:2 crossing:2 acoustic:2 universit:1 sato:1 constraints:8 osaki:1 due:4 series:2 mas:1 related:6 frequency:10 expect:2 entering:1 our:3 approximated:1 programmes:2 thick:2 special:5 out:1 gonzalez:6 shown:3 sabatier:1 asteroseismic:4 space:2 gradient:1 since:1 rev:1 arnould:1 parallax:4 emerged:1 rl:2 rec:1 issue:1 shows:5 turning:9 theory:3 ast:1 rayet:1 quite:3 completely:1 base:1 formation:5 term:1 besides:1 bazot:11 beginning:10 log:17 determining:3 could:4 days:4 keep:2 turn:1 length:2 thuan:2 sadakane:1 signature:1 consequence:1 onto:2 new:1 first:5 origin:2 already:1 toulouse:4 fischer:6 manuscript:1 mistakenly:1 overshoot:1 powerful:1 primary:1 reaches:3 done:1 long:3 nayfonov:2 angular:1 size:1 given:22 temperature:6 introduction:1 lejeune:2 system:2 adopted:1 their:11 accretion:16 rates:1 observations:7 white:1 ranging:1 gives:2 gillon:4 fraction:3 bouchy:3 vandenberg:1 tool:1 assumption:2 gyr:1 apjs:5 authors:2 tive:1 than:9 diffusion:1 quantitative:2 target:2 showed:2 database:1 see:4 aims:1 18m:1 matter:2 determined:2 were:4 baglin:3 result:2 lines:11 correction:1 mind:1 seen:1 any:1 lie:2 geneva:1 zero:2 wesemael:1 studying:1 gravity:5 note:4 internal:10 take:1 fridlund:1 interior:1 mip:1 bolometric:2 echelle:9 cnrs:1 towards:2 2ta:1 centre:3 track:1 collaboration:1 reach:2 most:2 ordinates:1 connected:1 roxburgh:2 soriano:11 measured:1 why:1 rogers:4 considered:3 average:2 metal:3 reintroduce:1 graphs:1 points:2 nuclear:2 velocity:4 usual:2 physics:2 lying:1 laws:1 precise:5 planetary:6 drastically:1 phenomenon:1 show:3 text:1 discovered:1 bright:3 misclassified:1 find:1 giant:2 ratio:1 parameters:14 much:1 enough:2 should:6 only:2 enriched:1 rich:8 hipparcos:3 sylvie:1 equilibrium:1 do:3 valenti:5 fontaine:2 means:2 vary:2 de:1 dc:5 abundance:1 ones:2 michaud:3 words:1 dy:1 during:6 dr:9 boundary:4 evolution:4 israelian:3 luminosity:4 arxiv:1 summary:2 angulo:2 hydrodynamic:1 characteristic:4 g0v:1 mayor:4 interiors:1 view:1 modulo:1 computed:22 reference:1 publications:1 tyagi:1 richer:1 observed:12 depends:1 radius:7 migration:2 close:4 forthcoming:2 best:1 subject:2 phases:3 probable:1 ways:1 subsequent:1 review:1 santos:9 conroy:1 state:1 vorontsov:2 various:5 between:11 orbiting:2 probably:1 neither:1 discovery:1 choose:2 ohkubo:1 importance:1 however:3 spectroscopic:5 paquette:3 rapid:2 hypothesis:2 key:2 group:1 come:1 received:1 prescription:1 harps:2 taking:2 uncertainty:3 according:2 minus:2 sensitive:1 figures:2 technics:1 context:1 belin:1 requests:1 whole:1 among:3 adjusted:1 relevant:1 separation:3 cm:1 point:8 way:2 period:2 written:3 table:8 along:2 tassoul:7 described:2 deep:1 z0:1 radiative:2 three:2 been:6 offers:1 interest:1 basic:1 expected:1 degrees:1 ph:1 fig:20 box:5 corresponding:4 both:7 rebolo:1 mcc:1 precision:2 modelling:12 observers:5 asteroseismological:1 observe:1 determination:2 external:6 c2:1 reclassified:1 present:16 case:10 atmospheric:3 look:1 mbol:1 value:4 will:9 while:9 htm:1 promising:1 situation:1 opal:1 versus:1 layer:1 larger:3 reddy:1 characteristics:2 strasbg:1 equations:1 surface:5 iv:1 middle:4 convection:3 shift:1 helium:21 vogt:1 different:18 develop:2 propagation:1 pepe:1 cross:9 same:14 orders:1 emphasize:1 several:1 propagate:1 infer:1 satellite:5 used:2 edged:1 putation:1 laboratoire:1 publ:1 uni:1 changing:1 opportunity:1 recent:1 scenarii:1 lower:12 least:1 modes:7 scenario:1 largely:1 expression:3 well:4 analysis:8 kambe:1 without:5 sets:2 position:1 model:24 magnetohydrodynamic:1 possesses:1 left:7 velocities:1 proposed:1 when:2 obtain:1 reviewed:1 product:1 underlying:1 fact:4 paul:1 speed:1 yet:1 previous:1 tables:2 accepted:1 nacre:4 seems:1 except:1 evidences:1 asteroseismology:5 treatment:1 extensive:2 possess:1 exoplanet:6 gave:1 tests:6 advances:1 showing:1 possible:5 corresponds:3 early:3 boxes:8 five:6 marcy:1 press:1 using:8 unique:1 corot:11 rear:1 mod:1 quencies:1 like:2 sizes:1 qualitative:1 adiabatic:1 extremely:1 specific:2 mhz:4 either:2 integrals:1 become:7 because:1 methods:1 grids:1 sequence:11 understand:1 some:2 back:3 understood:1 deduce:1 jupiter:2 choosing:2 oscillations:1 kinds:1 neglecting:1 happens:1 lead:5 umr:1 classical:1 instantaneous:2 esa:2 eso:1 closely:1 core:22 run:1 scientific:2 bc:1 problems:1 each:6 analysed:1 disappeared:3 stellar:8 host:7 unambiguously:1 although:2 drawn:2 analyses:1 asterisks:2 properties:1 panel:2 om:16 central:5 fre:1 constraint:1 column:1 months:2 discussed:5 o:2 range:3 important:3 eight:4 mean:1 obs:1 takeda:7 metallicities:6 into:4 within:1 integral:6 interstellar:1 predictions:1 down:2 included:1 right:6 references:2 castro:1 determine:1 teff:1 ehs:5 assumed:1 initial:1 question:2 approximate:1 specifically:1 gough:2 detectable:2 stars:20 triplets:1 astrophysics:1 was:13 rcc:1 function:2 charpinet:1 hr:2 differences:14 younger:1 but:4 astro:1 taken:1 link:1 solar:8 magain:4 mnras:1 line:5 hd:28 approxi:1 evident:1 subgiant:9 inside:4 variations:2 up:1 us:1 planet:6 below:3 limit:1 spectroscopy:2 continuously:1 panels:13 called:1 detailed:2 ac:8 sight:1 computing:1 defined:1 abstract:1 naef:2 general:2 au:2 planets:6 av:1 check:1 triangles:3 compared:3 dotted:3 no:5 dashed:5 25m:1 generally:1 detail:2 other:1 details:1 branch:7 papers:2 conclusion:1 poor:2 rt:12 star:28 models:78 june:1 variation:1 metallicity:16 flower:3 seismology:2 variable:1 seismic:19 astronomy:1 diamonds:2 structure:7 offprint:1 independently:1 exoplanets:2 typically:1 age:4 columns:1 cally:1 4l:1 mass:10 fitted:1 time:1 cores:10 resolution:1 having:1
|
0705.2506.txt |@word concept:3 miyake:1 consider:3 remarkable:4 gupta:1 induces:2 magnetic:1 results:3 leads:1 facilities:1 higher:1 computation:1 sci:1 remarkably:1 research:2 hole:1 sch:1 rd:3 depend:1 calculate:7 attracted:1 finally:2 monotonically:2 tanaka:17 c5:2 th:1 andreev:7 crest:1 tc:1 kashiwaya:15 case:39 supported:2 amplitudes:35 presently:1 straightforward:1 very:5 ihara:1 supercomputer:1 graser:1 wave:203 electron:1 figs:8 resonant:5 experimentally:1 matrices:1 condition:3 four:1 presented:2 transmission:1 positions:6 proposals:1 t0:3 occurs:3 large:8 convenience:1 τˆj:1 small:2 ueda:2 minigap:2 work:3 sign:10 jump:7 zero:12 enhancement:2 rowell:5 qualitatively:1 odd:197 even:105 established:1 arvi:2 sub:1 section:3 while:11 expressed:2 thickness:2 consistently:2 above:10 basic:1 expresses:1 contrast:4 dagotto:1 coefficient:3 edited:2 midgap:4 exchange:1 mirkin:1 respectively:15 component:87 here:10 understanding:1 cos2:1 same:5 re:2 strong:1 equations:2 appears:4 interpret:2 extreme:1 institute:2 shift:3 study:6 studied:3 ubiquitously:1 resulting:14 resonance:2 makes:1 plotted:3 halperin:1 useful:1 scales:1 ivf:1 decrease:1 anomalies:1 translational:4 unit:1 plot:2 conventional:5 remains:1 nagoya:2 next:2 shelankov:1 covington:1 explicitly:2 therefore:3 means:2 more:6 becomes:3 yokoyama:2 tanuma:1 normalized:8 particular:1 known:4 rare:1 cases:16 iii:1 cotan:1 schrieffer:1 tokyo:1 science:4 equation:2 spinsinglet:2 values:2 thin:1 transparency:5 following:5 making:1 trans:1 example:1 f1:42 f2:37 weaker:1 wang:1 dxy:41 chosen:2 calculation:2 discussed:1 magnitudes:3 klapwijk:1 states:9 indicates:1 his:1 allowed:1 tan:2 tions:1 junctions:38 huge:1 rather:1 s2:3 s1:3 holds:1 kohno:1 s5:2 write:1 located:1 coleman:2 parameter:1 sin:5 oscillatory:1 simplicity:1 de:1 ubiquitous:1 mat:2 may:2 yamazaki:1 after:3 dx2:7 faculty:1 society:1 fj:4 constants:1 sz:1 quasiclassical:6 effective:1 supercond:1 correspond:5 parameterized:1 s3:2 green:7 sm:2 sc:6 representation:5 order:9 typical:1 breaking:1 dx:1 over:3 insight:3 vary:2 satisfied:1 matsumoto:1 mixing:1 zep:11 paper:3 including:2 s2l:4 ttc:1 japan:6 y2:4 its:12 before:1 chemical:1 aid:1 how:2 energies:14 interesting:4 fix:1 decreases:3 edge:21 better:3 previously:2 absence:8 systems:3 goennenwein:1 non:5 within:1 junction:7 sauls:3 fig:53 introduce:1 reflected:1 penetration:2 effects:2 mao:1 now:3 yu:4 realize:1 2t:1 easily:1 february:1 netherlands:1 dirac:1 fully:7 university:4 level:1 bergeret:3 asano:3 sufficiently:3 magnitude:16 l0:27 each:2 2l:8 found:2 soc:3 eilenberger:2 2h:1 side:28 characterized:1 shiba:1 significantly:3 generation:2 energy:22 related:2 manifests:1 inhomogeneous:1 frequency:185 combining:1 quantum:1 laboratory:1 keizer:1 eq:9 unconventional:1 shown:31 dominates:7 impurity:2 furthermore:1 since:7 interference:2 denotes:1 diffusive:5 gˆ:5 petrashov:1 denoted:3 induced:13 ref:3 mθ:2 wendin:1 theory:1 barrier:2 discontinuity:1 ntt:1 quite:4 clarify:2 dependencies:1 formation:2 finite:6 endres:1 interaction:3 ministry:1 geometry:1 dip:2 transition:1 introduction:1 length:8 isotropic:1 removing:1 promotion:1 first:2 origin:1 mcmillan:5 dahm:1 symmetry:6 quasiparticle:4 relate:1 potentials:6 number:5 channels:1 walter:1 alff:1 done:1 svidzinsky:1 robust:1 angular:7 xu:1 given:6 temperature:3 ordering:2 eqs:1 πn:1 system:6 2ωn:4 kinder:1 intermediate:1 ballistic:6 twente:1 calculations:3 realization:2 structures:1 lot:1 πvf:2 tool:1 part:19 authors:3 believe:1 schon:1 than:2 center:1 accordance:1 bruder:1 depends:1 project:1 matter:1 determined:3 amplitude:134 iωn:1 decompose:1 lowest:3 symmetries:1 rainer:6 iguchi:1 takashima:1 seen:3 ldos:57 any:1 strength:1 angle:1 studying:1 self:2 mid:2 note:6 liu:1 potential:56 online:10 vojta:1 coincide:1 kirkpatrick:2 spectral:6 serene:1 towards:2 multiple:2 schopohl:2 normal:26 satisfy:4 singlet:13 jst:1 most:1 significant:5 pair:207 measured:4 aprili:1 especially:1 considered:3 clear:1 metal:18 barash:3 regards:3 electrons:1 ku:1 velocity:2 physics:6 fact:1 quantity:5 superfluidity:1 drastically:1 show:8 manifestation:1 kupriyanov:1 goll:1 purely:3 relation:5 solutions:1 uniform:5 fine:1 line:17 εn:4 ratio:11 maeno:1 behind:2 should:2 only:21 going:2 pairing:32 factor:1 admixture:1 local:2 discuss:2 do:2 quasiparticles:2 get:3 between:5 belitz:2 tcs:1 superconductor:38 cannot:3 reversal:1 penetrate:5 subscript:2 volkov:4 temp:3 tsvelik:2 terada:1 arxiv:1 shape:3 summary:1 greene:1 europhys:1 predicted:4 analytical:1 through:1 berezinskii:2 pitaevskii:1 enhances:1 set:1 exists:5 clarified:2 undergoes:1 unpublished:2 correlations:1 hδ:1 up:1 observed:1 culture:1 see:11 result:4 enhanced:22 existence:4 discussions:1 terms:3 acquires:3 away:4 subgap:4 state:37 various:2 cooperation:1 simplest:1 limit:4 boundary:13 conditions:2 c2l:4 triplet:14 recently:3 fˆ:3 spintriplet:1 weak:1 focus:11 however:3 concentrate:6 interface:89 ferromagnet:2 suppressed:5 both:7 cos:7 scalapino:1 always:9 reinterpreted:3 many:1 region:70 conclusions:2 according:3 against:1 paring:2 manifestations:1 dated:1 retarded:1 exceeds:5 expression:1 con:1 comment:1 relevant:2 cm:2 conclude:2 simple:3 continuation:1 diverges:1 exhibits:1 moreover:3 rep:2 gratitude:1 jonson:1 jetp:2 px:57 py:11 due:20 been:2 reduction:2 much:6 change:9 interest:1 mars:19 anisotropic:2 shumeiko:1 choose:6 corresponding:23 gap:3 bulk:10 coherent:1 dramatic:1 understand:6 c3:2 c2:2 c1:6 c0:6 spin:28 former:2 present:8 c4:2 applied:1 multi:1 look:1 solid:7 appearance:1 value:8 will:1 near:14 behavior:1 situation:5 property:6 abrikosov:1 layer:1 larger:2 vf:17 jpn:3 almost:7 thus:5 xiao:1 surface:1 iv:1 ii:4 characterize:1 superconducting:8 itself:1 cond:3 elsevier:1 mod:1 technology:3 conserve:1 summarize:2 different:4 education:1 maki:1 grant:2 perform:1 georges:1 lett:23 ωn2:1 clearly:1 selfconsistent:1 fˆ1:3 unity:2 parts:3 pauli:1 largest:1 units:1 helium:1 several:2 nazarov:3 efetov:3 breakdown:4 independent:4 used:2 peaks:8 numerical:3 upon:1 effect:13 hand:9 insulating:1 t20:3 infinite:4 changing:3 invariance:6 normalization:1 palumbo:1 reflection:3 changes:1 modeled:1 well:5 without:6 materials:1 components:24 coordinate:1 organization:1 model:3 latter:4 left:2 yeh:1 magnetization:1 proposed:1 being:1 generally:4 proximity:14 golubov:7 superconductors:4 obtain:3 detail:2 manipulation:2 underlying:2 integer:2 spatially:1 momenta:1 scattering:2 yet:1 heterostructures:1 eschrig:3 kanagawa:2 density:2 wei:1 point:2 parametrization:1 transparent:9 color:10 internal:1 extends:3 attractive:2 easy:1 prominent:1 momentum:5 real:21 burkhardt:3 around:12 preexisting:1 fominov:1 possible:1 cho:1 using:4 paraoanu:1 formal:1 necessary:1 like:3 semi:2 shaped:2 follows:9 qualitative:1 performing:1 specific:2 vortex:1 arbitrary:1 analyzing:1 works:1 reduced:5 parity:41 exceed:2 right:2 methods:1 classical:2 zachar:1 phenomena:3 miao:1 strongest:3 nagai:6 respect:1 oscillations:2 nonzero:8 shapes:1 lead:1 resonances:1 though:1 assmann:1 does:6 prog:2 refer:1 scientific:1 location:1 huber:1 aoyama:1 bt:4 ofwander:2 although:1 become:1 plots:1 imaginary:19 impurities:1 properties:5 om:1 actual:3 anomalous:1 dependence:21 o:1 essential:1 compatible:1 buchholtz:2 outlook:1 rev:51 presence:7 h2:7 into:13 h1:7 bound:3 three:2 miranda:1 phase:4 because:2 amsterdam:1 sports:1 theoretically:1 ricatti:2 statistics:1 fogelstr:1 log:1 jin:1 assumed:2 indispensable:2 there:7 question:1 width:2 jsps:1 describes:2 low:8 way:1 was:10 hara:3 naturally:2 function:21 survives:1 form:2 some:3 differences:1 but:7 hu:1 expected:1 balatsky:2 delta:2 r53:1 injection:1 abrahams:2 longer:1 absent:7 zhu:1 evident:2 instructive:1 supr:1 attached:2 maximum:1 us:2 below:1 zwicknagl:1 fermi:5 2πt:1 ωn:40 demonstrate:1 matsubara:9 similar:12 nature:1 strongly:6 penetrating:1 ab:6 constant:6 2πtc:4 defined:2 abstract:1 general:1 exist:1 yokohama:1 formulation:1 higashitani:1 formalism:3 regime:1 cuevas:2 functions:9 compared:3 dotted:7 no:5 shekhter:1 when:9 vanishes:5 application:1 other:11 details:1 spatial:17 department:1 theor:1 exp:2 superconductivity:1 felt:1 variation:4 generated:5 important:1 technol:1 peak:16 dos:2 kivelson:1 structure:6 matrix:1 lichtenberg:1 coupling:1 standard:1 assume:1 holes:1 emery:1 nelson:1 time:1 far:4 cores:1 requires:1 having:1
|
0705.2507.txt |@word consider:2 chinese:1 caused:1 magnetic:18 results:4 leads:1 eds:1 hanging:1 remarkably:1 localized:1 row:6 polarity:23 arcsec:2 depend:2 patches:4 involve:1 young:13 presents:1 finally:2 program:1 those:2 wiehr:2 marks:1 periphery:2 esa:1 zhang:22 wave:1 figs:2 summarized:1 affect:1 difference:10 minute:3 hagenaar:2 level:4 cause:1 large:4 cas:1 team:1 small:3 dip:1 upper:1 smaller:1 force:1 trend:1 consistent:1 coefficient:2 surrounding:3 photospheric:2 asp:1 displays:2 outwards:1 further:7 rectangular:1 quite:1 linear:1 even:1 aim:1 what:2 plays:1 appear:4 sun:1 selected:2 near:6 bipolar:2 causes:1 new:1 increasing:1 contrast:1 satisfy:1 compact:1 hasn:1 lee:2 respectively:3 sunspot:43 jointly:1 agreement:1 hours:10 reported:3 magnetism:1 china:2 sink:1 separation:1 active:25 aerodynamic:1 november:1 strong:2 scherrer:2 change:2 deduced:2 box:2 northern:2 shift:12 study:3 studied:5 suggests:1 usually:2 changes:2 plotted:1 apj:6 visible:1 decrease:3 1st:2 planck:1 granular:1 figure:4 would:1 physics:2 positive:17 negative:21 nachr:1 therefore:2 panel:3 type:5 more:8 successful:1 becomes:1 inclined:1 stable:3 about:5 mathew:2 basically:1 particular:1 provide:1 foundations:1 cases:1 iii:1 must:2 high:1 orner:2 hour:6 cluster:1 deformed:1 science:1 averaged:1 longitude:1 reproduce:1 values:3 thin:2 following:1 making:1 detached:2 scatter:2 deformation:1 zirin:1 nearest:1 del:3 wang:4 serpent:2 sample:1 slows:1 bend:1 absolute:1 decaying:7 rather:2 feature:1 regions:15 located:6 rubio:2 parameter:1 cadence:2 exemplify:1 may:8 max:1 earlier:1 spot:1 confirmed:1 produce:1 horizontal:15 vrabec:2 data:1 referring:1 types:1 supersonic:1 short:1 natural:2 outline:1 lines:5 element:12 blueshift:1 ones:1 so:4 correlation:4 looking:1 order:1 orientations:1 magnetogram:1 help:2 over:1 move:6 mainly:2 confirm:1 produced:1 course:1 paper:2 upflows:3 argued:1 brickhouse:2 before:4 solitary:1 position:2 longitudinal:5 submitted:1 interesting:1 toro:3 decreases:2 borrero:2 production:1 fig:26 main:4 pixel:4 versus:2 eventually:1 them:1 propose:1 outlined:1 material:1 they:5 nov:2 bush:1 yw:1 accommodate:1 gets:1 classified:1 arrows:2 identified:5 sufficiently:1 magnitude:1 mode:1 radial:4 found:4 entirely:1 difficult:1 constraints:1 development:1 mdi:17 significantly:3 series:1 related:1 society:1 member:2 disappearing:1 expect:6 measure:1 loops:4 our:3 out:3 hirzberger:2 shown:1 missed:1 furthermore:2 since:3 rev:1 research:1 increase:1 conclusions:1 izv:1 cobo:1 supports:1 shows:9 doppler:19 theory:1 evershed:10 mechanisms:1 possibility:1 standard:7 formation:1 besides:2 asi:1 mmf:72 muller:4 pairs:39 created:1 motion:3 livingston:2 place:4 massive:1 exhibited:1 speeds:4 first:14 indebted:1 already:1 features:1 reflected:1 reaches:1 ars:9 least:3 ballegooijen:1 thick:1 michelson:1 size:1 given:2 checked:1 introduction:1 leading:3 top:4 approximately:1 their:10 observations:7 sainz:3 white:2 moat:10 structures:1 national:2 low:3 shifted:1 vigorous:1 relationship:2 evolutional:1 pore:1 relative:5 iau:1 part:6 western:2 somewhat:1 authors:1 tritschler:2 than:6 distance:21 l41:1 observatory:2 downflow:11 propagating:1 zero:3 modelled:1 project:1 determined:3 density:1 were:6 gives:1 beck:1 curves:2 randomly:2 polarities:1 need:1 seen:5 confirms:1 border:2 clearly:2 relatively:2 lie:1 wilson:3 partly:2 latter:1 able:1 isolated:2 mechanism:1 predominantly:2 oriented:2 majority:2 analogy:1 academy:1 encyclopedia:1 closer:3 towards:3 advances:2 opposite:7 extending:1 regular:2 significant:5 successive:2 pair:11 acknowledgements:1 why:1 sunspots:15 observation:2 considered:1 average:6 later:1 flow:13 drive:1 km:19 soho:4 velocity:30 tubes:2 review:1 lying:1 deceleration:1 emerging:2 selection:1 particularly:1 phenomenon:1 show:5 detection:1 supported:3 favour:1 mnras:1 astrophys:1 spruit:2 find:3 sinks:1 slow:1 proposed:3 parameters:2 title:4 explain:2 less:1 only:3 black:2 employed:2 mena:2 ruiz:1 do:3 his:1 penumbra:10 cooperation:2 means:2 rutten:1 starspots:1 bear:1 mission:1 cannot:3 sheeley:3 nearly:1 shared:1 during:4 prime:1 supergranular:1 evolution:7 continuum:4 fields:2 arxiv:1 t04:1 view:1 scanning:1 set:2 ser:1 supporting:1 lifetimes:3 frame:1 hα:1 packet:1 observed:2 see:8 individual:3 result:1 sea:2 discussions:1 close:2 outward:5 best:1 august:2 kneer:4 still:1 extend:1 harvey:6 away:2 tend:1 outside:5 euroconference:1 closed:1 between:15 boundary:6 solanki:10 across:2 sciences:1 schmieder:1 recently:1 reproduced:1 parent:5 initially:3 however:2 jr:2 rapidly:1 collados:1 concentrate:1 hypothesis:1 here:3 extent:1 analyzed:2 outer:2 suggested:1 ranges:5 providing:1 last:1 outflows:1 many:2 region:14 uncertainty:2 quiet:1 against:1 april:1 connection:2 heliospheric:1 canopy:8 disappears:1 otherwise:1 l27:1 point:2 continuation:1 cf:2 height:1 anti:1 deflected:1 upflow:1 magnetograms:10 along:2 second:2 howard:1 addition:1 three:13 been:5 appears:1 mart:3 outflow:1 certain:1 expected:1 nato:1 ph:1 downflows:3 life:2 corresponding:10 both:1 ınez:3 formed:3 gas:3 schrijver:1 determination:1 slowing:1 astron:1 evidence:2 present:1 case:2 schmidt:2 developing:1 solid:1 originate:1 appearance:8 aip:1 value:1 meridian:1 will:1 while:2 error:4 property:1 taking:2 loop:4 larger:2 orientation:1 vol:2 twists:1 thus:1 surface:7 ii:1 middle:4 bias:1 conf:1 ambient:1 regression:1 increased:1 jz:1 different:3 grant:1 suggest:1 travelled:1 kjcx2:1 same:5 any:1 shorter:3 shifts:3 parts:1 rejoin:1 several:1 higher:3 yurchyshyn:4 visually:1 extended:1 ni:1 blue:1 driver:1 flows:3 brummell:1 moving:4 tighter:1 early:1 lower:2 tracking:1 center:1 older:2 makes:1 well:4 roughly:2 analysis:1 thought:1 edge:3 ccd:1 model:11 vazquez:1 left:7 bellot:2 just:3 heavily:1 when:1 kinks:3 noaa:9 filament:1 schlichenmaier:6 alternative:1 speed:6 bit:1 note:2 death:1 kluwer:2 instance:1 weiss:3 outlines:1 source:1 setting:1 combine:1 location:3 easy:1 plasma:2 momentum:1 around:9 represents:2 big:1 showing:4 corresponds:1 dark:1 increases:2 five:1 birth:5 using:1 emergence:1 alternatively:1 signal:2 velocities:3 temporally:1 separately:1 flux:11 either:1 sakai:1 downward:3 reidel:1 right:7 old:1 some:4 under:1 examples:2 sight:2 oscillations:1 imager:1 pronounced:1 dense:2 lead:1 bottom:3 poorly:1 tube:6 l17:1 recorded:1 per:1 does:2 eliminate:1 provides:1 intersections:2 proc:2 measuring:1 indicated:1 disentangle:1 each:5 analysed:1 symp:1 although:4 instability:1 properties:6 analysing:2 shine:5 thomas:4 central:1 carried:2 column:3 plaza:3 introduces:1 o:2 dopplergrams:9 goode:1 concentrations:1 mean:6 obs:1 mmfs:47 letters:1 redshift:3 strassmeier:1 into:3 within:4 sol:10 due:2 down:6 references:1 frames:1 woch:1 van:1 additional:2 area:1 support:1 there:1 specifically:1 inner:1 way:2 ed:4 lagg:2 was:8 function:3 north:2 form:1 drains:1 signs:1 poster:1 dips:1 basic:1 analyse:1 but:4 histogram:5 astro:1 neutral:1 solar:8 pillet:3 remote:1 line:7 removed:2 faster:1 consist:1 whether:1 ut:10 inside:5 systematics:1 us:1 dordrecht:3 below:5 mature:7 distribution:5 stages:6 similar:5 clear:1 strongly:1 penumbral:10 interval:4 associated:2 penumbrae:4 minutes:1 footpoint:2 direction:2 metals:1 general:2 twist:2 images:5 single:2 ar:36 iniesta:3 bogart:1 simulations:1 lifetime:10 moves:3 physical:1 vertical:1 again:2 compared:3 dotted:3 azimuths:1 generally:1 field:8 other:5 role:1 potsdam:1 test:2 correlates:1 deviation:7 picture:2 cabrera:2 elements:28 denote:1 models:2 solana:2 radially:2 bipoles:2 drag:1 important:1 peak:4 structure:5 younger:2 implies:3 longer:2 typically:1 required:1 rule:1 dragged:1 depth:1 nasa:1 mass:2 time:10 international:1 resolution:1 having:1 once:1
|
0705.2508.txt |@word ψ1x:2 magnetic:1 kassel:1 const:7 dazu:32 auf:294 γs:25 spin:18 γp:40 parit:68 aus:291 fischer:1 γn:10 γm:1 γl:1 divergent:1 neue:7 gerade:22 verschiedenen:17 letzten:23 metrologia:1 called:1 solution:1 haben:131 vector:1 blick:5 hesse:1 10b:5 enth:12 10a:3 direct:1 10d:3 10e:4 approximation:6 chem:1 interactions:2 sung:4 ˆb:21 ˆc:1 nev:1 new:8 annehmen:7 neu:10 ˆn:2 dort:20 aten:1 atoms:47 drei:12 asymmetry:1 nicht:114 ater:8 atome:53 gln:8 study:1 kβα:1 dri:15 paris:1 drj:9 mentor:1 fourier:15 changes:1 instr:1 9a:5 9c:6 9b:7 9e:3 9d:3 2δk:1 stern:3 beschr:13 γt:8 bra:2 plot:4 keith:1 tl:1 e0:1 m4:1 anwendungen:28 m0:8 vom:44 differentielle:1 odinger:99 aufbau:5 endliche:1 me:6 springer:4 erw:10 ma:1 rβ:9 erzeugt:2 mn:1 mk:7 mt:21 erf:29 mv:5 erb:13 weiteren:14 erl:8 erm:4 ern:1 erh:41 example:2 give:1 gegen:14 geben:13 degenerate:1 absolute:1 eng:1 satz:2 hot:1 instrum:1 ent:1 strom:4 ψii:2 anderen:12 description:2 verallgemeinerten:7 beispielsweise:1 diagram:1 gs2:1 resultate:7 imγ:2 green:4 aherung:48 diplomarbeit:5 order:2 interpretation:3 eigen:1 breit:24 zen:3 zel:2 spontaneous:1 37a:1 37c:1 37b:1 37d:1 pritchard:2 origen:9 schmidt:2 gezeigt:21 maximal:2 diskret:2 verteilung:5 wenn:25 represents:1 meas:1 worden:1 each:1 damit:41 invariante:1 series:3 principles:1 used:1 ru:2 unger:1 diesem:90 diesen:20 gleichung:133 re:6 dieser:97 verallgemeinerung:2 rb:7 at1:1 rn:5 ri:10 rj:3 39c:1 mτ:1 frei:3 funktionen:24 linear:2 1s:2 physikalische:6 standard:2 schen:2 weniger:1 ange:25 r1:1 r2:2 r3:4 geraden:2 ist:438 angt:17 unabh:9 gasenzer:4 rand:1 andig:5 einer:132 eines:101 reihe:4 bucksbaum:1 anwendung:54 nonperturbative:1 preis:2 geist:1 einen:130 atmosph:1 einem:120 illustrate:1 endlich:2 punkten:3 engagement:1 master:2 10c:5 john:1 ganze:2 a34:1 tool:1 17d:1 zeroth:1 17b:1 aquivalent:4 zusammenh:2 mathematisch:1 beiden:34 nahe:5 σg2:8 erickson:1 vielen:2 gabor:31 iteration:1 edmonds:2 aether:2 tion:1 ev:11 boston:1 kurven:1 vgl:2 sensitivit:1 zerf:3 deren:11 urs:1 broglie:5 abb:80 birkh:1 cronin:1 phase:70 typ:6 observation:1 kleine:16 ullt:25 yang:2 hellwig:1 globales:1 gerlach:1 visualisation:1 civita:1 earth:2 d2:9 d3:9 priv:3 dessen:7 implementation:10 daher:18 sehen:15 sur:1 dn:1 einzelnen:36 dm:8 dj:13 dk:16 klein:8 di:19 df:11 dd:1 de:15 db:7 nonconservation:2 da:75 bismuth:1 dz:164 dx:6 dw:6 dt:19 du:6 dr:12 54b:1 54a:1 emc:2 fields:1 rung:1 magneton:5 tilde:2 zahlen:1 nun:154 w3:10 w2:9 w1:7 schreiben:31 iδ2:7 best:5 iδ1:17 µt:1 sorte:2 bekannt:5 µi:6 erhalten:95 symmetrie:2 µj:7 µb:27 gauß:8 terms:1 maximums:2 diese:93 wo:22 wn:8 enthalten:14 weak:3 wi:21 terme:9 erweiterung:2 cos:6 uns:67 unz:1 orts:10 und:976 ung:1 frage:4 directions:1 φpr:2 wider:1 alles:3 san:1 µev:5 basis:21 radiative:1 ansch:1 fru:1 19b:3 beitr:55 aufgabe:1 ϑw:3 untersuchung:21 vollst:16 fest:8 baus:1 erst:19 kleingrothaus:1 5a:8 heidelberg:8 viii:1 herr:2 ir:4 iv:5 ii:27 ik:16 im:500 ie:3 ig:10 numerische:19 wissenschaften:1 large:1 vieweg:1 freie:15 stelle:29 qji:1 orderung:1 i3:19 i2:1 jetzt:5 auser:1 braunschweig:1 potentials:15 hans:1 positives:2 felder:31 zweiter:11 academic:2 mathews:1 programm:1 ihrer:6 zweiten:44 andere:7 ucken:4 wahl:17 denen:13 terminologie:1 newton:1 2ˆb:1 zusammenhang:34 anders:4 scattering:2 eigenstates:3 53c:1 53b:1 53a:1 iϕ:1 leibnitz:1 5i:3 weise:21 5g:1 hat:50 wissen:2 unter:57 iα:14 voraussetzung:7 reelle:4 ope:1 9g:1 advanced:1 wobei:65 specific:1 informative:1 el3:2 sebastian:1 surf:1 old:1 technischen:1 bedingung:4 tutorial:1 iφ1:1 ich:23 quarks:4 scholz:1 uher:1 totale:1 arbeiten:19 transformationen:1 leptons:1 substitution:7 bahn:1 zur:202 zus:21 oren:3 dˆ:2 wavelets:6 o:62 spins:1 maximale:2 zuk:5 zun:50 zum:54 soc:1 dilemma:1 sog:2 ahe:2 wineland:1 22f:3 22e:3 22d:3 22c:3 22b:3 22a:1 negative:2 ahr:2 j1x:2 sov:1 sinne:9 transform:2 klapdor:1 conservation:1 way:1 lage:28 was:39 war:15 form:55 m2:4 zeigt:22 rauch:1 fort:2 muss:52 flavour:1 positiv:2 maximum:5 crystal:1 fermi:2 pχ:1 froese:1 qij:4 tesla:1 dζ:16 dη:4 ni:1 nl:4 nm:2 polarisation:8 wesentlich:7 whereas:1 test:3 nr:9 hoffman:1 ψiii:1 superposition:29 besteht:5 dies:71 geometrische:69 15a:1 15b:1 variable:5 feld:60 beschrieben:7 6ev:1 scharf:1 coulomb:1 dτ:7 interval:1 packets:1 berlin:5 gk:14 time:2 n0:1 timo:1 schritt:8 grobe:1 siehe:86 ost:11 sollte:17 dbj:4 selbst:15 bergmann:3 herzlich:2 inverse:6 ver:13 ves:1 technique:1 εijk:4 orthogonal:1 weiter:28 prof:5 streng:1 υn:5 υi:9 limes:2 die:2019 nucl:1 ollig:5 gut:17 diu:1 equation:1 dir:2 klassischen:8 deutschen:1 protons:1 bestimmung:2 oglich:15 2pj:4 verhalten:12 current:1 erg:1 international:1 ausdruck:21 bernreuther:2 dem:183 annalen:1 den:517 lange:4 wechselwirkung:11 52d:1 52e:1 buch:3 52a:1 52b:1 52c:1 institute:1 dζ1:30 lokal:1 bleibt:15 bestimmt:6 plots:3 diagramm:24 einfachen:17 prove:1 ande:230 positive:7 regel:3 theoretical:1 eigenschaft:3 stokes:1 eiφ1:2 eiφ2:2 eiφ3:3 1s1:37 unsere:4 eκ:1 eα:114 folgen:10 eγ:18 eβ:58 valued:1 maarten:2 fock:2 groß:9 schließlich:33 trans:2 ihre:6 2lj:5 noch:79 spr:1 sph:1 14b:2 14c:2 14a:3 gew:27 hydrogen:2 rays:1 bezeichnet:15 s3:14 s0:1 zugeh:11 optimal:1 parameter:17 bezeichnen:17 product:1 quantenmechanik:13 may:1 23a:1 23b:1 23c:1 levi:1 mag:2 mai:1 data:1 mal:4 man:337 scheffler:1 sp:25 st:32 sk:7 si:1 so:140 antiparallel:2 sg:2 nearly:1 nucleon:1 immer:16 experiments:22 aber:74 ieee:1 derive:1 dargestellt:37 sα:3 82a:2 82b:1 forms:1 angigkeit:43 τs:3 τp:1 impulses:1 eigenwerte:22 processes:1 komponenten:22 hamilton:3 symposium:2 term:8 93b:1 93a:1 orthonormal:1 stockholm:1 kann:175 spinor:12 en:8 ei:9 ej:4 besch:3 communication:1 interferometer:6 beliebige:4 wegen:11 ep:1 es:153 er:18 jackson:1 factors:1 collisions:1 investigation:1 internet:1 formula:1 theory:5 punkt:5 ort:77 auch:155 e1:10 vier:5 e3:15 e2:7 liefert:21 motion:2 flanders:2 verwendung:56 2p1:155 ff:3 symmetry:1 punkte:4 zweier:8 variablen:1 parame:1 eγ0:4 1x:9 theoretische:8 1a:5 1b:5 setzen:17 1i:1 nehmen:11 courier:1 grund:5 alan:1 j1:4 hut:1 x2:1 x0:48 gleichungen:8 unsch:4 wert:26 geht:9 ane:2 angen:18 aller:13 ann:2 dass:216 anh:1 argument:10 faktor:14 20a:1 20c:1 20b:1 20d:1 ans:2 allen:15 ideas:1 masse:6 potential:94 hyperfine:1 theoretischen:16 multipli:1 zˆα:9 wird:128 falls:3 bestimmen:2 falle:9 diagonale:2 angst:1 solche:4 licht:2 2m2:2 delta:1 bereits:82 nlj:22 weitere:22 fifth:1 betrachten:81 weisskopf:15 zahl:3 92a:1 92b:1 matrizen:18 betrachtet:20 svartholm:1 ges:7 2mv:55 gev:2 windowed:1 oˆ:1 repr:12 aα:10 aβ:12 gef:6 2me:1 2mi:7 gen:8 gem:26 gel:11 prinzip:6 freien:19 j2:2 j3:44 relative:9 ur:564 konstanten:7 geometric:4 x20:1 αn:1 εii:3 εij:12 tun:5 je:10 jetp:1 ja:15 σk:1 summe:9 σn:1 darin:6 σg:7 laplace:2 propagation:3 berry:27 schnell:5 somit:59 daten:1 pol:1 lagrange:2 considering:1 arts:1 ket:3 howard:1 oder:25 aufgrund:29 viele:15 6a:6 6b:6 formel:11 6g:2 6j:3 photon:3 achst:51 bewegung:18 eβ0:12 engineering:1 situation:10 eik:1 ein:214 residuum:2 iva:3 helium:1 different:1 etc:1 poincar:2 shifts:1 wilhelm:1 arguments:2 otto:2 besitzt:2 pal:1 greiner:1 23d:1 singapore:3 dabei:54 δf3:8 zerlegung:2 model:3 darstellung:34 dimension:3 effects:3 muon:1 rest:1 dispersi:1 eorie:1 starke:4 inelastic:2 hint:4 photons:1 dicke:1 lett:8 eigenstate:1 real:3 neuen:23 walker:1 21f:3 21d:8 21e:3 21b:5 21c:4 21a:4 using:1 heu:1 mod:1 integrale:2 particle:1 behrend:1 integrals:2 verschiedene:6 quantal:1 bouchiat:7 besser:5 kaiser:1 84b:1 84a:1 ddf:1 scientific:3 definieren:13 sprung:4 eiπ:1 eiφ:13 raum:36 habe:2 2n:1 hadron:1 wurden:22 ob:5 fein:1 tˆ0:2 stand:4 mannheim:1 jκ:2 reflexion:3 jα:6 operator:29 argumentation:3 welcher:2 hep:3 her:5 aren:11 lon:1 stark:7 dispersion:25 ares:1 aß:26 gibt:25 mich:15 rji:1 ωt:1 asst:11 ebenen:12 age:59 ac:4 taylor:1 interesse:1 uii:62 ohe:2 am:83 deep:2 rapide:1 ar:1 13a:1 geringer:1 reflexions:1 eα0:25 field:2 mathematics:1 verf:1 leicht:22 separate:1 symbol:3 etwas:3 a1:10 dunkel:1 a3:4 a2:4 a5:1 eαn:1 recherches:1 cpv:3 sci:4 sch:3 gupta:1 elektron:12 bemerkung:3 begriff:2 rahmen:9 alt:52 als:189 subjected:1 tr:2 kβ:31 kα:27 dieses:44 th:1 te:8 norm:6 mγ:8 sons:1 kϕ:7 fall:84 verh:6 elena:2 verl:6 induced:1 morley:3 hamiltonian:1 louis:1 t4:1 t2:15 t3:1 t0:76 t1:13 zentrum:1 ten:10 39b:1 39a:1 δeα:1 ter:2 uhrung:15 heißt:1 dissertation:6 ohne:23 ucher:1 abe:2 abh:52 diag:1 abk:13 version:3 gi:1 abw:1 abbildungen:1 jede:8 ordnung:149 gruppen:1 tage:1 simon:1 ansatz:17 grundlagen:56 19e:3 2km:1 methoden:10 19f:3 19a:1 19c:3 2kk:41 stellt:14 ruprecht:4 conti:1 durch:193 published:1 aufl:7 vii:5 aufe:1 dieter:1 linearen:3 darstellungen:1 ψj:10 ψk:10 folgende:8 ψi:4 ψn:4 qcd:1 ψc:6 ψa:1 sondern:7 ψe:10 operators:15 emission:1 zust:218 science:2 der:2179 des:575 det:1 oller:1 dei:6 dej:4 85a:2 85b:1 abbildung:35 tabelle:65 dζ2:19 ions:1 f3:149 wieder:41 jeweils:23 mehr:28 information:2 impulse:1 thallium:2 beweis:2 zweite:16 fr:13 fu:6 fx:2 ζi:9 schro:3 wiley:1 ζn:1 ζu:1 bkr:1 fi:2 fl:11 short:1 kein:6 ferner:4 komplexe:4 berechnen:55 ahlt:25 existence:1 almquist:1 partielle:2 berechnet:23 alle:46 systeme:1 accompanying:1 systems:3 freund:1 yl:3 ya:1 uhl:2 beschreiben:9 hunter:1 49a:1 49b:1 49c:1 welche:6 2p:11 2q:1 2r:2 2s:11 puzzle:1 drake:1 2d:5 transmission:2 2f:4 2g:7 2a:1 2c:3 2l:5 2m:99 universit:4 2i:87 2j:2 2k:85 4πr3:1 energy:4 measurement:3 quantum:3 beyond:1 deα:2 bedeutet:5 bereich:34 benjamin:1 analogon:2 hermes:1 definition:26 σmin:4 beim:20 sogar:4 technische:1 fallen:1 integrand:5 2kα:2 2kβ:1 nach:164 dinger:3 koh:1 osung:203 station:6 rates:1 molecular:2 tats:11 schema:1 option:1 optical:1 translation:1 operatoren:15 schon:8 iliopoulos:1 18b:4 18c:4 kind:2 18a:2 18f:3 18d:4 18e:3 sto:1 dann:145 beziehung:5 motivation:7 7c:3 7b:4 7a:6 electrodynamics:2 ebenfalls:9 agen:7 oßen:8 2t0:1 44b:2 null:28 k2:3 unge:1 electric:1 17c:1 kap:20 17a:1 gilt:78 bzw:42 kb:1 exponentielles:1 sehr:99 kk:2 kj:1 maier:1 tβ:8 kn:1 km:1 tα:15 kr:2 exp:110 hierbei:9 kz:2 physics:7 thomas:2 unserer:3 juliane:1 stft:1 relation:4 ugt:5 parameters:1 einige:19 poles:2 notation:18 mein:1 dependent:1 uglich:3 polarized:2 ϕj:13 ϕa:1 impuls:5 hin:2 komplexer:12 arxiv:1 kβ2:5 dovich:2 komplexen:10 ses:1 kurve:12 angig:14 vint:3 analog:21 fang:1 uα:16 uβ:18 iγn:3 soll:21 jeden:4 jedem:6 budker:1 ikz:6 ikx:4 identit:1 jedes:9 jeder:18 2σg:1 59a:1 algebraische:1 ramsey:1 context:1 dadurch:2 messiah:1 kirsch:1 interessante:6 nonrelativistic:1 proton:3 a392:1 dimensional:1 geh:10 diagramme:13 bα:7 bβ:6 zusammen:11 pr:11 pp:2 pv:84 publishing:1 duc:1 weder:2 due:1 pc:30 arbeit:54 pd:4 abschnitt:128 karls:4 gestalt:8 ph:8 po:1 pl:1 maser:1 studien:1 precision:1 2im:5 determination:1 2ik:10 gab:2 p2:2 bild:7 ussen:44 shift:5 guide:1 engineers:1 turchette:1 engl:1 wollen:135 von:506 lokalen:36 enge:2 rij:4 vor:24 cycon:1 jpr:2 currents:2 gs1:1 recht:4 james:2 ergibt:24 glashow:1 paschen:5 achen:3 neutron:1 higher:1 weinberg:3 zwar:12 unendlich:2 dgl:3 moment:7 levels:1 ab:31 recent:1 normale:1 kapitel:155 stellen:14 87b:1 87a:1 struktur:1 intervall:4 atomic:23 world:3 alternative:1 λn:2 λm:51 3i2:3 finden:6 signals:9 theorem:1 findet:14 transformation:65 bin:1 folgenden:46 wii:40 lassen:8 δz:35 bis:45 formal:7 thews:1 exakt:6 erste:23 signal:10 adiabatic:2 teil:13 flux:1 folglich:1 mathematical:1 methods:1 back:5 hinter:4 methode:41 b1:5 b3:9 hochenergiephysik:1 integration:15 singularit:2 beispiele:5 energie:24 prog:1 mhz:9 proc:1 bd:10 cgk:2 bc:3 bl:25 δi:1 bh:1 bi:1 konstante:5 wein:1 weil:2 negatives:1 ekstrom:1 ache:6 uft:3 pβ:13 pγ:3 pα:50 kinoshita:2 range:1 allerdings:21 daraus:6 conserving:2 rolle:2 integral:27 proportional:11 verfahren:10 liege:1 institut:1 question:1 lond:1 fast:4 u2:1 liegt:16 silvestri:1 hext:1 urlich:14 kc:2 atom:31 ergebnis:21 kf:2 sowohl:7 2πi:6 iγα:1 blockdiagonal:1 physikalisch:7 ansatzes:6 um:117 reellen:8 un:6 ui:64 horner:1 calculated:1 uber:11 verwenden:28 uhren:33 single:1 diverse:1 commins:1 verwendet:31 beide:23 application:1 electrical:1 nat:16 zimmer:1 polarisations:4 kt:1 problems:9 mathematischen:4 structure:2 ge:1 land:3 reiner:3 produkt:16 diffraction:1 sˆ0:15 berman:1 ziel:2 agt:3 nachtmann:10 gu:1 gs:5 gr:46 ganz:4 results:2 gg:2 φ1x:3 aumen:1 gang:1 ga:4 gl:156 contributions:1 bemerkungen:1 einfache:12 friendly:1 g6:3 g3:5 g2:9 g0:8 2rb:5 wave:3 electron:4 mixing:1 zeit:63 quadratischen:2 eigenvalues:1 optics:1 configurations:1 lˆ:9 zn:3 zk:2 zd:58 natur:2 sin2:3 za:5 zb:4 karshenboim:1 44c:2 zu:366 44a:2 konstant:6 victor:1 index:24 11c:1 entwicklung:107 3i:9 experiment:22 indem:7 3b:3 3a:2 d1:10 3g:2 seine:11 lee:2 sinn:3 59c:1 59b:1 eikz:1 eikx:5 sind:162 z0:200 z1:196 z2:153 cern:1 ersten:56 vergleich:26 ment:1 erster:31 existenz:7 wie:143 dysprosium:3 apv:5 private:6 wir:798 andreas:1 nobel:1 usw:2 chu:1 bethe:2 6c:3 verschiebung:6 ebene:19 iii:12 high:3 salam:1 lokale:15 infinitesimal:1 wedge:1 links:8 sokolov:1 pieces:1 linke:4 tag:1 zwischen:47 tab:6 behauptung:2 lamb:6 bedeutung:4 inaugural:1 lepton:1 langen:1 sie:23 94b:1 sim:1 94a:1 ableitung:30 behandlung:7 physik:4 forschungsgemeinschaft:1 element:1 marton:3 z2m:2 wigner:15 symbole:2 großen:9 looks:1 p1x:10 menge:4 hoch:1 lf:2 gµb:12 unendliche:1 longitudinal:5 lc:1 la:1 ln:12 lo:3 zˆ:2 2e1:1 lj:11 beschreibung:91 massen:1 rabi:19 dimensionalen:3 13c:3 13b:3 violating:7 spektrum:1 13e:3 13d:3 wolfgang:1 dar:23 das:319 rotation:2 2s1:164 zustand:68 dirac:2 begr:2 l2:6 l3:25 l1:1 berechnung:87 gegeben:21 ie2:1 winkel:3 ergebnisse:16 elementary:1 static:1 measure:1 our:1 liegen:11 matrix:86 technology:1 res:2 rep:1 rev:12 teilchen:32 barkov:1 werden:225 uhrt:44 ref:1 8k:1 unde:2 spinors:4 8b:6 8c:3 8a:7 diagonal:4 york:5 bilden:4 dx0:5 ahlen:33 ahler:2 große:8 7ev:1 deshalb:5 praxis:7 ihr:5 echo:10 ihn:2 ihm:4 homogene:4 art:11 erkl:7 michelson:4 allgemeinen:24 system:3 eighth:1 folgt:64 floquet:2 final:1 nur:133 quadratische:4 spiegel:1 theorie:31 zα:7 zβ:14 bei:221 ben:27 gelten:10 wirkung:6 clebsch:2 bez:2 matrixelement:6 amplitude:20 ber:121 radius:2 cohen:1 linker:1 absch:6 p0α:33 demonstration:2 iφi:2 seiner:5 einfach:19 polarization:1 εi:4 sei:34 kurz:6 mir:9 mit:537 gβ:2 iφ3:1 hydrogenlike:1 gegebenen:1 ahrend:21 zusammenfassung:16 preliminary:1 fach:2 32g:2 definiert:22 deuterium:100 urt:2 proceedings:2 denn:13 mechanical:1 gest:8 entspricht:39 manteuffel:1 χj:6 dbi:2 12a:4 12b:6 12c:4 12d:3 12e:3 violation:8 text:2 maiani:1 thorsten:1 lemma:2 local:1 anhang:50 atzung:5 µk:1 onen:1 vektoren:22 beam:10 etwa:17 zeigen:14 lalo:1 viel:9 densities:1 qw:6 strahlen:2 differential:3 dpg:1 contain:1 rein:10 discovery:1 grad:1 stets:42 2p3:282 seite:33 packet:1 hilfe:16 eigenschaften:13 phases:4 statt:2 motivations:1 hrad:7 written:1 wavelet:3 gedanken:1 invariant:9 funktion:62 ende:20 magn:4 probing:1 lb:7 configuration:1 tensors:1 insbesondere:13 salpeter:2 decay:1 δj3:6 zeeman:4 april:1 hψ:2 ck:1 relevant:4 cn:5 cm:13 wall:2 cg:4 elektronen:3 keine:21 stabile:2 τa:1 uck:6 klare:1 addition:1 certain:1 define:1 corresponding:1 wurde:49 informatik:1 poten:1 lgs:1 selten:1 present:2 theoretisch:9 will:3 eur:3 ucke:6 va:8 ekin:2 vi:8 wkb:169 daf:7 surface:1 amer:2 φii:2 sowie:22 35b:1 35a:1 φc:4 vext:6 φi:2 φk:1 phd:6 v2:1 ankt:2 ij2:1 schr:112 untersuchen:16 hafner:1 mathematische:4 oft:7 mathematik:2 position:6 ullen:2 moments:27 formen:5 detail:3 allgemeine:10 weg:15 wel:2 gleich:19 resultat:3 isk:1 ashman:2 ζii:4 variante:1 inversion:1 gruyter:2 vα:53 vβ:17 press:2 abst:2 osungen:20 δn:3 δl:3 δm:3 δj:6 δk:4 jedoch:22 δf:3 aher:1 onnen:122 parity:20 classical:1 beitrag:28 phenomena:1 kern:1 zwei:46 kleinen:15 kleiner:6 summand:1 anzahl:2 seien:7 11a:4 werte:13 11b:5 αem:2 journal:2 11i:3 expansion:2 oben:10 freitag:1 cα:12 cδ:1 experimentelle:6 langer:2 ander:1 hier:147 em:1 eins:14 h0:3 bruss:2 atzungen:1 lung:2 eine:317 einf:18 56a:2 56b:1 56c:2 wach:1 gruppe:1 tannoudji:1 describes:1 quanta:1 vektor:4 interferometry:1 function:3 yakovlev:1 neutral:3 kmax:2 muons:1 hb:2 he:3 physikalischen:8 lineare:3 beispiel:37 limit:1 problem:12 sein:53 ex:1 mechanics:1 atten:6 ins:3 anderlichen:2 erie:1 inc:2 diego:1 functions:1 gordan:2 hpv:25 koeffizienten:16 sich:223 relativ:11 genau:10 klar:6 variation:3 unser:1 analogie:3 amlich:24 19d:3 außerdem:9 4k:14 4i:4 4g:2 4b:3 4c:2 simpson:1 4a:5
|
0705.2509.txt |@word remarkable:1 rev:9 brownian:3 resistance:2 cooperative:1 consists:1 semiconductor:1 deterministic:3 stable:1 stochastic:1 eichhorn:1 alternating:1 case:1 supported:1 amplitudes:1 far:1 frequencies:6 stays:1 experimentally:1 difference:1 turns:2 occurs:2 noiseless:2 detected:1 small:1 gossard:2 grifoni:1 smaller:1 force:3 zeuner:1 sign:3 scrutinize:1 further:1 dynamics:7 linear:1 even:1 superlattices:1 brackets:1 expressed:1 thickness:1 current:24 experiment:1 above:1 increasing:2 acknowledgments:1 contrast:1 coefficient:1 simultaneously:1 ibid:1 respectively:2 realizations:1 here:1 2kb:1 luczka:6 change:1 search:1 institute:2 study:1 studied:1 periodic:6 resulting:1 usually:2 changes:2 spatially:2 mobility:2 scaled:1 unit:2 positive:6 negative:10 next:1 few:1 therefore:1 associated:1 more:1 becomes:3 known:1 effort:1 silesia:1 kautz:1 valued:1 equation:2 work:1 values:2 den:3 following:2 f0:8 figure:2 bena:1 unbiased:1 occur:2 junctions:3 absolute:5 holds:1 regions:1 very:2 opposite:1 optimal:1 parameter:1 charging:1 mat:1 modulation:1 fy:1 orbits:1 response:5 occurence:1 johnson:1 so:2 correlation:1 first:1 order:1 over:3 displayed:1 thermal:6 paper:1 through:1 signs:1 mentioned:1 still:1 its:2 interesting:2 exhibits:1 absence:1 systems:3 resistively:2 versus:2 them:1 junction:8 auto:1 they:1 shah:1 name:1 university:2 desirable:1 sin:2 2e:10 accompanied:1 characterized:2 referred:1 nava:1 differential:1 ej:2 broeck:3 energy:2 displacement:1 ec:2 conductance:7 frequency:10 quantum:1 happen:1 eq:1 out:2 large:1 shown:1 driving:2 rep:1 induces:1 denotes:3 increase:1 re:1 europhys:3 rc:1 denoted:1 induced:1 cause:1 resistor:1 shows:2 theory:1 kostur:5 possibility:1 quite:1 e2:1 shunted:2 feasible:1 massive:1 circuit:1 diminishes:1 stewart:2 there:2 symmetry:2 reaches:1 angular:3 checked:1 temperature:2 introduction:1 system:9 white:2 structures:2 gives:1 augsburg:2 stylized:1 part:1 than:3 ottaviani:1 require:1 thermodynamic:1 zero:7 matter:1 determined:1 amplitude:1 were:1 stimuli:1 exhibit:1 anc:15 anm:2 ann:1 allen:1 relatively:1 instance:1 potential:1 destroy:1 coincide:1 diffusive:1 multiple:2 though:2 most:1 boltzmann:1 involving:2 germany:1 phase:1 stands:1 kb:2 windows:3 average:3 sometimes:1 physica:1 physics:2 dot:2 phenomenon:3 mechanisms:1 doped:1 friction:1 discovered:1 keywords:1 talkner:5 find:1 d0:3 based:1 parameters:7 situations:1 wolff:1 rich:1 equilibrium:6 do:1 means:1 dependent:1 cannon:1 lehmann:1 dc:9 report:2 ohmic:2 twice:1 experiments:1 predicted:1 view:1 canali:1 set:3 exists:1 maximum:1 campbell:1 intensity:2 recently:1 marchesoni:2 symmetric:2 maranowski:1 state:2 between:1 conditions:1 across:2 never:1 terms:1 however:2 jr:1 fluctuations:4 distinguish:1 sols:1 topology:1 both:1 cos:3 against:1 manifestations:1 experimental:1 con:1 load:1 among:1 point:1 simple:1 leipzig:1 period:1 dimensional:1 respect:2 cp:1 consuming:1 described:1 three:2 responds:1 arxiv:1 direction:1 katowice:1 external:4 present:1 applied:4 attractors:1 multi:1 josephson:11 pacs:1 appearance:1 value:2 ratchet:1 behavior:2 situation:2 capacitively:2 real:2 chaotic:1 motors:1 non:1 reads:3 bias:1 cond:1 ia:3 id:3 currents:2 different:1 grant:1 coexisting:1 same:3 complex:1 dimensionless:3 events:1 higher:1 literature:1 see:2 i0:7 numerical:1 effect:5 driven:5 moving:2 robust:2 cycle:1 bhattacharya:1 reflection:1 scenario:1 poland:1 modeled:1 well:2 sets:1 model:3 kawai:1 less:1 voltage:15 differentiation:2 adding:1 reimann:3 confirmed:1 lett:10 extensive:1 plasma:1 remaining:1 supercurrent:1 rescaled:5 around:1 possible:2 tunnelling:1 possibly:1 increases:1 bartussek:1 counterintuitive:1 like:2 particle:2 follows:2 signal:1 performing:1 continue:1 unstable:1 become:1 mccumber:2 petrov:1 often:2 classical:1 some:2 hartmann:1 examples:1 escape:1 transport:4 pronounced:1 broad:1 normal:2 critical:1 prog:1 noise:8 slight:1 pp:14 broken:1 although:1 properties:1 rare:1 carried:1 origins:1 stationary:1 anomalous:4 dependence:2 range:3 mean:2 within:1 numerically:1 references:1 kusmartsev:1 theoretically:1 van:2 initial:1 capacitance:1 describes:1 way:1 was:2 function:1 form:1 adjusting:1 but:2 gaussian:2 repeated:1 line:1 absent:1 intuitive:1 supr:1 up:3 reiter:1 demonstrate:1 called:1 regimes:5 mechanics:1 ac:11 later:1 constant:3 abstract:1 denote:1 single:1 simulations:2 physical:1 again:1 zapata:1 variety:1 when:1 other:3 details:1 conclusion:1 may:4 condens:1 models:1 variation:1 much:1 structure:1 alekseev:1 correlated:1 coupling:1 interval:1 governed:2 goychuk:1 inset:1 fact:1 time:7 starting:1 original:1
|
0705.2510.txt |@word gt:1 consider:3 chain:3 bellaterra:1 rev:21 particular:3 results:2 four:4 hyper:1 generalize:1 computation:1 consists:1 expressions:3 contributions:13 gj:2 gi:2 compact:3 content:2 dimensionality:1 violate:1 tait:1 technique:4 tr:24 shall:1 tl:22 asking:1 obviously:1 aut:1 th:9 analogous:7 must:2 necessary:1 case:13 g5:8 unrenormalized:5 amplitudes:5 g2:2 broadly:1 parameterize:1 far:1 b457:1 b153:1 rise:1 sufficient:1 keeping:1 polarization:2 choice:3 grojean:5 every:1 lep:3 c34:1 redefinition:1 zµ:6 matrices:1 gopalakrishna:2 condition:4 identity:2 leads:2 solves:1 level:6 turns:3 t2:1 solution:4 viable:1 large:3 vector:2 interpolating:8 small:1 study:4 noted:1 bessel:2 uem:1 jhep:8 ifae:3 zi:1 concise:1 lightest:1 direct:13 zero:6 value:2 zz:6 lillie:2 replicated:3 dynamics:2 zw:5 antoniadis:1 tev:1 linear:5 bilinear:3 aim:1 what:2 developed:1 t2l:9 opaque:1 giving:1 trivial:1 section:9 localization:1 3w:1 expressed:5 ptr:1 current:11 axial:1 version:5 burdman:1 above:1 deal:1 new:6 t2r:4 method:1 satisfy:4 full:2 kl1:2 lef:3 exchange:1 respectively:5 component:2 residual:2 here:2 bi:2 l21:12 l20:10 maldacena:1 possibility:2 groups:1 along:9 alµ:2 equations:40 appears:3 change:1 deduced:1 obtained:15 ψl:14 caravaglios:2 δql:1 involved:2 inspired:1 studied:2 allows:1 pl1:8 g52:21 extremes:2 resulting:1 δqr:1 action:24 hospitality:1 postponed:1 higgsless:23 pathological:1 relation:6 named:1 via:2 useful:5 lkin:1 extra:25 requiring:2 maksymyk:1 dedicated:1 d72:2 b129:1 weaker:1 b562:1 randall:1 condensates:1 total:1 florence:1 b348:1 csaki:6 wang:2 flavors:1 µa:2 use:2 charge:1 would:2 prove:1 sake:2 positive:1 contains:2 negative:2 next:1 comparing:2 live:1 sitter:1 kl0:2 therefore:6 f03:2 qcd:2 taken:2 means:1 godfrey:1 type:1 theoretical:1 more:3 flat:14 becomes:1 operators:2 d70:4 randallsundrum:1 warp:2 fµν:1 dirichlet:2 normalized:1 varying:1 known:1 tanabashi:3 fermionic:10 extrapolated:1 high:3 account:5 mf:2 ma:2 lefthanded:1 integrating:4 local:7 equation:2 work:2 london:1 theories:13 reproduce:4 mw:1 values:11 b703:1 following:17 erm:15 spontaneous:2 example:3 decoupled:4 f0:2 compare:1 impose:2 renormalization:1 links:1 give:3 process:1 expanding:1 share:1 states:2 indicates:1 lorentz:1 performed:1 allowed:5 unphysical:1 rius:1 occur:1 quark:1 charged:3 b405:1 recursive:1 provide:2 s2:2 breaking:16 feature:1 delay:1 how:3 cancellation:6 plus:1 those:1 parameter:24 sin:12 profile:5 simplicity:2 fr:14 custodial:4 description:4 singular:1 may:2 sesto:1 after:6 derived:2 dx2:1 consequence:2 pqr:1 tbw:1 dominici:5 coming:7 fi:3 fj:3 wave:3 fl:18 fm:2 constants:1 geometric:1 sy:1 lhc:1 dynamical:2 effective:24 higgs:9 light:1 explicit:4 trilinear:3 su:11 neglect:1 generic:6 cannot:1 so:8 allow:1 deconstruction:8 sb:1 integrand:2 imply:1 order:31 superscript:1 ttz:1 holds:2 words:1 indeed:4 oblique:16 πzz:2 satisfied:1 ita:1 top:2 course:2 paper:2 through:8 motions:3 y1:11 existence:1 kinetic:11 still:2 excitations:2 its:2 discretizing:1 lf:1 write:2 style:1 derive:3 group:3 thank:1 decay:1 energies:1 exact:3 fix:3 solving:5 boson:7 writing:1 hz:2 atµ:2 degrees:2 mail:2 main:1 defining:2 cacciapaglia:2 supersymmetry:1 ly:3 correspondence:4 non:11 altarelli:2 curtis:5 yl:3 delocalization:18 integral:7 introduce:1 break:1 effects:1 they:4 acta:1 rotation:1 now:8 ordinary:1 pz:4 easily:1 term:11 holographic:39 dirac:13 absent:1 always:1 university:1 backgrounds:2 hailu:1 applied:1 d49:1 warped:19 l2:1 mode:1 l0:29 each:4 found:2 higher:3 d46:1 constraints:6 heavy:6 spinor:2 lectures:1 differential:9 financial:1 strumia:1 generation:1 there:1 energy:13 related:5 t3:1 equivalence:1 extended:1 terning:4 lep1:1 contino:1 separating:1 eq:35 es:1 out:9 shown:5 dicus:2 space:10 furthermore:3 since:14 lagrangian:16 investigate:1 cancels:1 particles:1 acting:1 hill:2 rattazzi:3 induced:1 issue:1 correct:1 math:2 shows:1 orbifolds:1 tildes:1 theory:22 interactions:7 pql:1 free:4 standard:17 reason:2 besides:1 b126:1 ask:1 onoma:1 generate:2 shadmi:1 e2:2 definition:2 extend:1 interaction:14 hamed:2 derivation:1 r2:3 could:4 omit:1 c4θ:1 used:8 keep:1 motion:30 introduction:1 length:1 b591:1 b506:1 corrections:18 neglected:2 assign:1 first:6 already:3 kurachi:3 symmetry:28 third:1 variables:2 powerful:1 number:2 georgi:4 holography:3 πw:11 directly:1 carry:2 stated:1 curing:1 constructing:1 given:30 checked:1 needed:1 unitarity:8 leading:6 eqs:20 phenomenologically:1 system:2 πr:109 their:3 assumption:2 inversion:1 fermions:27 calculations:1 wulzer:1 eqa:1 sanz:3 πy:3 murayama:1 recovered:2 gives:2 burgess:1 exactly:1 unaffected:1 alam:1 electroweak:40 barbieri:4 part:4 because:3 eliminated:3 than:1 coefficients:4 zγ:5 l41:2 variational:2 foadi:3 last:2 aam:1 rizzo:2 require:2 tree:2 second:4 project:1 express:1 unbroken:1 f13:2 playing:1 perturbative:3 lowest:2 pointed:1 symmetries:5 reproduces:1 cohen:2 nonabelian:1 spectrum:1 correspond:2 b525:1 hy:22 chivukula:5 bess:1 need:5 recover:2 strength:1 built:1 serone:1 studying:2 latter:1 responsible:1 mills:7 mechanism:4 deconstructed:7 note:5 mix:1 ideal:11 internal:2 take:1 analogy:4 yµ:1 fj2:2 canonical:1 calculus:1 even:1 added:1 sm:9 a3µ:11 though:3 track:1 fondazione:1 reach:1 plugging:1 hirn:4 metrics:1 extending:1 involving:1 nonstandard:1 transverse:6 segment:3 class:1 eigenfunctions:1 ptl:2 slc:1 kk:8 implications:2 inferred:1 porrati:1 typeset:1 takeuchi:1 yang:7 exp:1 link:3 technicolor:3 physics:7 sum:1 fact:7 hubisz:1 sector:17 casalbuoni:6 weiner:1 show:1 violation:1 anyway:1 evaluating:1 supergravity:1 hb:2 wµ:6 gauge:67 solutions:19 delphi:1 substituting:2 d4:12 longer:1 fine:2 find:6 fifth:6 based:5 dp2:6 parameters:25 negligible:1 should:1 only:10 generators:1 factor:6 he:5 kaluza:2 over:3 achieve:1 abelian:2 cheng:1 klein:2 get:24 de:8 sf:1 firenze:1 δψr:1 famous:1 ones:1 dz:5 iǫabc:1 lighter:1 dy:15 combinations:1 applying:1 d52:3 dp:2 stability:1 processes:1 qr:32 qu:1 continuum:8 approach:9 arxiv:2 iγµ:2 collaborations:1 bad:1 contain:1 hewett:2 including:2 fixed:4 discussing:1 ql:34 signatures:1 knowing:1 multiplying:2 computed:1 aleph:1 achieved:1 imposing:8 hγ:3 2c:2 j1:11 davoudiasl:2 up:1 see:5 computer:1 result:6 vertices:1 recently:1 dµ:6 flavor:1 considered:2 instance:1 said:1 aforementioned:1 interacting:2 ways:1 pattern:1 review:4 sites:2 tend:1 boundaries:1 favor:1 written:5 between:9 invariant:1 boundary:44 conditions:26 d57:1 preserve:1 notice:5 terms:46 reproduced:1 do:1 spacing:2 however:7 vanishing:5 sθ:12 δab:1 longitudinal:3 suppressed:2 suggested:2 both:7 cos:6 prescription:4 chiral:5 taking:4 density:3 according:1 b513:1 sγ:1 context:1 casimir:1 behaviour:1 contribution:9 estimation:3 whole:1 masses:5 experimental:1 witten:1 comment:1 aa:1 panico:1 relevant:1 fields:36 point:9 lagrangians:1 zzγ:5 corresponds:2 whatever:1 b246:1 dimensional:25 tgc:2 simply:1 universitat:1 respect:4 carena:1 delocalisation:2 d73:2 considers:1 branes:16 considering:4 strong:3 described:7 tuning:2 nomura:2 source:1 addition:1 come:2 py:1 chirality:1 mγ2:1 been:4 implicit:1 int:1 reduction:2 much:4 scherk:2 weakly:1 ph:39 universal:1 hernandez:1 curvature:1 unitarized:1 corresponding:4 quantities:2 concerning:1 photon:1 precision:8 agashe:1 locations:2 bulk:87 offers:1 coherent:1 observe:1 determination:2 external:1 derivative:2 c2:3 c1:3 extract:2 spain:1 p2:55 multi:1 schmidt:3 szalapski:1 perturbativity:1 evaluated:2 will:13 while:2 suppose:1 pilo:2 behavior:2 fun:1 investigating:1 ds2:1 eur:1 couplings:15 procedure:11 della:1 yi:6 unitary:2 satisfying:1 coupled:4 phenomenological:3 metric:12 ir:1 thus:3 site:1 sekhar:2 equal:2 ij:1 properties:1 argue:1 peskin:1 mod:1 superconformal:1 fermion:15 currents:3 compactified:1 different:7 null:2 italy:1 2g5:12 grant:1 perform:2 same:13 data:3 parts:2 arguments:1 pauli:1 grows:1 difficult:1 independent:1 moose:12 investigated:1 fna:1 luty:1 numerical:1 effect:1 usually:1 dgp:1 eidelman:1 uses:1 d69:2 forth:1 invariance:1 yuan:1 normalization:5 tasi:1 suitable:5 modes:6 scenario:8 pµ:2 nevertheless:1 expression:5 locality:1 well:4 analysis:16 finds:1 thought:1 without:5 solve:4 log:5 components:12 deserve:1 coordinate:1 model:29 l40:2 dimension:18 left:16 cleo:1 proposed:2 less:1 being:1 able:1 larios:1 nandi:1 wagner:1 obtain:4 bµ:1 formulated:1 thanks:1 tilde:1 alternative:3 spurions:1 scattering:2 eigenstates:2 previous:1 adv:2 adding:2 preprint:1 ads:3 conclusions:2 similarities:1 had:1 lattice:3 add:3 concerns:2 lett:15 easy:2 5d:16 guarantees:1 remaining:1 momentum:4 polon:1 tests:3 evaluation:1 d71:3 evaluate:6 iγ:2 possible:6 cf:2 simmons:3 five:7 makes:2 background:1 vacuum:4 using:15 lep2:1 b33:1 latticized:1 theor:2 imposed:1 like:2 identifying:2 reece:1 follows:1 performing:4 pokorski:2 yields:1 schwarz:2 integrals:1 region:1 anti:1 tower:2 right:12 methods:1 namely:2 lmass:1 stern:1 some:2 global:5 towards:1 reexamined:1 konig:1 moreover:3 neglecting:5 matching:1 electric:1 canonically:1 scale:3 dimensions:6 lead:1 realistic:1 normal:1 meade:1 when:1 b606:1 2g:1 eliminate:1 provides:1 assuming:2 straightforward:1 minimal:3 refer:1 angelo:1 derivatives:3 bl:16 vertex:1 equivalent:2 l1:30 agreement:4 expansion:3 broken:2 cθ:9 br:11 2cθ:1 s2θ:8 plug:2 working:2 extension:1 constraint:2 nda:1 freedom:2 basis:1 o:4 covariant:3 hosotani:2 extensions:1 d64:2 introduced:3 automatically:1 hence:3 em:2 fl2:2 presence:4 previously:1 into:9 within:1 obtaining:1 hypercharge:2 due:3 down:1 appropriate:1 square:2 references:1 determine:2 proportional:1 pomarol:3 πl0:1 neumann:3 descriptions:1 spinors:2 acknowledgements:1 hep:47 additional:5 elastic:1 few:1 assumed:1 support:1 pl0:8 nucl:3 long:1 noticed:1 start:2 quadratic:3 bosons:4 low:11 way:7 delocalized:3 ψr:11 function:5 aaµ:8 complete:2 form:8 simplifications:1 brane:28 hw:28 but:3 neutral:5 aµ:11 elimination:3 encoded:1 lepewwg:1 auxiliary:1 ωy:3 infn:4 compute:3 gi2:3 evident:1 versions:1 whether:1 characteristic:1 c2θ:6 b82:1 variations:1 bounds:3 us:12 discretized:2 limit:18 problem:1 similar:1 called:1 strongly:2 analogue:1 ac:1 interval:1 constant:4 worthwhile:1 defined:3 request:1 abstract:1 contribute:1 am:5 general:4 loops:1 arises:1 aw:1 formulation:11 perez:1 dawson:1 identities:1 simplest:2 physical:2 again:2 functions:25 ideally:1 coefficient:1 no:1 fixing:1 whereas:3 generally:1 vanishes:1 handed:15 diagonalizing:1 aµ1:1 field:31 other:2 role:1 suppress:1 department:1 massless:1 papucci:1 quadrilinear:3 conclusion:1 microscopical:1 a13:1 models:19 felt:1 describe:1 variation:3 expressing:1 a1:1 restoration:1 a5:2 allowing:3 suppression:1 kz:21 variable:1 structure:1 sinh:2 arkani:2 independently:2 implies:1 coupling:10 assume:1 rs:4 pseudo:2 barcelona:2 appendix:1 mass:22 lying:1 time:1 observables:2 4d:6 starting:2 original:2 once:1
|
0705.2511.txt |@word represent:1 monte:2 concept:1 sci:2 gupta:2 particular:1 results:7 gg:1 roy:1 quadrature:3 gc:5 overlap:2 during:1 maxima:1 σinel:2 contributions:1 reˇ:1 particles:11 prindle:1 system:2 jaipur:1 description:1 shanghai:2 former:1 supported:1 charge:1 efficiencies:1 present:1 resources:1 case:2 lack:1 string:3 zhang:5 far:1 hughes:1 geometrical:2 grid:1 print:1 axes:1 peripheral:8 stays:1 affect:1 ga:1 moura:1 presented:1 vasconcelos:1 d2:4 laue:1 large:2 solid:2 yale:1 small:2 lisa:1 shows:11 originally:1 heinz:1 kowalik:1 core:6 trend:1 miller:1 consistent:1 ritter:1 morozov:1 pawlak:1 tokarev:1 rate:1 enhancement:9 may:1 chen:3 qualitatively:2 carlo:2 haag:1 canonical:4 even:4 errors:4 chicago:2 suppressions:1 sun:2 section:1 interactions:3 sakuma:1 zhao:1 expressed:1 consistently:1 indian:1 cheng:1 new:5 net:3 method:2 contrast:1 leeuwen:1 lee:1 degree:1 respectively:1 underwood:1 here:1 lednicky:1 wuhan:1 reported:3 simon:1 china:7 lindenbaum:1 berkeley:3 mahapatra:1 mated:1 strong:1 respect:1 bhubaneswar:1 obtained:1 unidentified:1 daughter:1 institute:10 studied:2 allows:1 coffin:1 suggests:1 cervantes:1 extremes:1 formation:1 studies:1 via:8 love:1 projection:1 panjab:1 ions:1 explained:1 sample:1 private:1 subatech:1 scaled:4 gluon:1 protvino:1 total:3 planck:1 linearly:3 predicted:4 would:4 levine:1 predictions:3 france:3 comparing:2 nucl:5 going:1 hirsch:1 indiana:4 panel:2 theoretical:3 more:3 hoffmann:1 mellon:1 partons:1 clearly:1 valparaiso:2 hoffman:1 corrected:4 ackermann:1 connecticut:1 subba:1 redlich:4 vasiliev:1 qgp:5 hjort:1 must:2 kumar:2 account:1 recombination:1 ma:4 left:1 bouchet:1 science:3 der:1 sahoo:1 protons:4 judd:1 pruneau:1 cai:1 nebraska:1 values:3 henry:1 already:2 oeschler:1 timoshenko:1 taa:2 beijing:1 wang:9 give:1 process:2 relativistic:2 sps:8 india:7 smirnov:1 c24:1 high:14 collision:10 minimum:2 numbers:1 nnsfc:1 mohanty:1 hadronic:1 tions:1 species:2 mcshane:1 charged:2 information:1 argonne:2 andersen:1 invoke:1 eng:1 describes:1 clarke:1 means:1 feature:1 hofman:1 regions:2 how:2 hot:2 pair:1 junctions:1 kolkata:1 lbnl:1 ensemble:4 stock:1 profile:1 magnitudes:2 fu:1 binary:10 snn:1 max:1 ladder:1 after:2 epsrc:1 corrections:1 united:2 humanic:1 value:4 physik:1 fits:1 grows:1 data:22 dynamical:1 antinori:2 tsai:1 spectra:3 blyth:1 like:1 extrapolation:1 balewski:1 sn:6 b97:1 representation:1 increase:3 adams:9 order:2 sd:1 operations:1 houston:1 reproduced:1 baier:1 help:1 office:1 nucleon:2 hierarchy:1 over:4 insight:1 interpreted:1 hallman:1 thermal:1 caines:1 statistical:6 cuts:1 mentioned:1 existence:1 cole:1 before:1 chemical:3 jacobs:2 eun:1 longitudinal:1 thank:1 voloshin:1 la:1 jin:1 interesting:1 christie:1 filip:1 production:29 degrees:1 systems:1 sig:1 secondary:1 occur:1 texas:5 eur:1 dae:1 non:4 greater:1 than:2 zagreb:2 surrounds:1 nsd:1 krueger:1 baumgart:1 scaling:10 band:4 tsinghua:1 they:3 das:1 souza:1 inelastic:1 yu:2 above:3 bhardwaj:1 netherlands:2 purdue:1 tram:1 university:32 arrows:3 identified:1 detroit:1 events:8 hollis:1 theory:1 magnitude:2 2a:4 reasonable:2 each:3 quenching:1 found:2 beneath:1 coalescence:1 betts:1 heavy:4 reactions:3 emn:1 bonner:1 chung:1 ee:1 kang:1 energy:12 between:1 reduce:1 burton:1 decays:2 ex:2 proportional:2 laboratory:5 approximated:1 event:1 really:1 gale:1 pbe:2 ultimately:1 dominates:2 space:4 dst:1 since:5 rev:25 research:2 content:3 collisions:25 participants:2 dominated:2 ra:1 kent:2 suggesting:1 illustrate:1 integrated:1 red:1 nayak:1 foundation:1 earlier:1 linear:2 lawrence:1 wheaton:1 several:1 mechanisms:2 quark:4 tian:1 approaches:1 calder:1 california:9 york:4 ohio:3 van:3 manninen:1 dubna:2 interaction:1 hamed:1 jet:1 language:1 anchez:1 recast:1 widths:1 similarly:1 produce:1 gordon:1 projectile:1 davis:1 yue:1 danos:1 feed:2 initial:2 features:1 striking:1 gazdzicki:1 number:5 perkins:1 channels:1 pop:3 dominating:2 dong:1 bland:1 reached:2 open:3 kisiel:1 xu:3 city:2 temperature:3 strasbourg:1 indicate:3 phenix:2 top:1 behaves:1 anderson:1 approximately:4 glauber:2 station:1 rates:1 observations:1 calculations:3 time:2 recent:1 prague:1 dutta:1 gyulassy:3 draper:1 pittsburgh:1 baryon:20 moscow:2 park:1 lamont:1 pb:2 part:3 signaling:1 hep:2 authors:1 haven:1 relative:4 showed:1 sections:1 in2p3:1 surrow:1 likely:1 aims:1 roberts:1 matter:4 light:1 bellwied:1 college:2 gives:1 russia:4 function:7 counter:1 sao:3 prc:1 raa:21 correction:2 modern:1 esti:1 curves:2 dash:1 fail:1 pierog:1 corona:4 further:3 seen:2 any:1 ray:1 zero:2 gagliardi:1 landgraf:1 lin:2 responsible:1 npart:25 mid:4 mechanism:1 predominantly:2 note:1 liu:5 potential:1 take:1 kaplan:1 phobos:1 detector:3 explanation:1 closer:1 cnrs:1 added:3 dunlop:1 symbols:2 centre:1 collaboration:2 reach:1 braun:1 most:4 seyboth:1 germany:3 mass:1 significant:4 cronin:4 phase:5 baryons:8 colliding:1 measured:12 diffractive:1 omaha:1 surprising:1 calculated:3 detectors:1 doe:1 graphs:1 points:2 tech:1 subsequent:1 brookhaven:1 consisted:1 physics:11 sum:2 fact:2 thomas:1 selected:1 lebedev:1 show:2 text:1 random:1 russian:1 indicates:1 gorbunov:1 especially:3 fine:1 line:2 ground:1 feng:1 provided:1 ratio:2 mumbai:1 much:1 committee:1 lansing:1 freedoms:1 only:5 wayne:1 black:1 factor:1 rice:1 hope:1 equilibrium:1 predict:2 rpl:1 gev:17 klein:1 jammu:2 there:4 michigan:3 de:7 beam:1 parton:3 cannot:1 invariant:2 report:1 dw:1 du:1 salur:1 takahashi:1 produced:5 evolution:1 dpt:4 densities:1 luminosity:1 suarez:1 arxiv:1 lexington:1 yield:3 summary:1 garcia:1 paper:1 croatia:1 longacre:1 multiplicity:1 shi:1 subatomiques:1 hadronization:4 bai:1 traverse:1 set:1 signify:1 their:1 reference:1 achieved:1 cleymans:2 national:4 freeze:2 observed:8 see:1 csir:1 margetis:1 result:1 enhanced:4 uller:1 cyclotron:1 close:2 techniques:1 brazil:3 instance:1 ibid:1 attempting:1 irp:1 nuclear:3 letessier:2 below:6 didenko:1 state:9 identification:1 toledo:1 limit:1 approach:1 µb:1 available:1 korea:2 responses:1 parent:1 epos:4 online:4 lange:1 were:9 however:5 jr:1 efficiency:2 wu:2 hypothesis:1 hefei:1 huang:1 group:1 estienne:1 suppressed:1 suggested:1 both:3 σn:1 odyniec:1 triggers:2 many:1 ganti:1 density:3 nikhef:1 attributed:1 na57:2 participating:1 sensitive:3 mev:5 vander:1 multi:4 bf:1 aa:4 color:6 proton:3 expectations:2 represented:1 werner:3 anti:10 cr:1 ogawa:1 li:3 along:1 munzinger:1 pp:2 described:5 hadrons:4 pt:28 buren:1 west:1 create:1 acceptance:1 romero:1 due:8 been:1 mark:1 varma:1 difference:2 lu:1 combined:1 olson:1 expected:8 extends:1 ph:1 crawford:1 fig:20 lanzhou:1 chandigarh:1 describe:1 tounsi:1 sorensen:1 formed:2 gas:1 requires:1 potekhin:1 bulk:2 suhonen:1 observe:2 understand:2 systematic:7 decreased:1 despite:1 equilibration:1 those:13 barrette:1 applied:1 extracted:1 srivastava:1 guimaraes:1 exponential:1 pacs:1 tang:2 snellings:1 brahms:1 kentucky:2 ministry:2 while:5 fall:1 behavior:1 error:2 rafelski:4 mitchell:1 region:4 solis:1 uncertainty:7 vol:1 thus:4 saturation:1 chattopadhyay:1 equal:1 bias:2 decay:2 westfall:1 seattle:1 technology:5 disappear:1 around:3 ccnu:1 different:4 education:1 participant:1 b243:1 primary:2 suggest:1 make:1 wa97:2 cross:2 same:7 varies:4 paulo:3 poskanzer:1 strange:25 split:1 grand:2 modification:1 warsaw:2 pal:1 shao:1 higher:1 development:1 calculation:1 used:6 swiss:1 estadual:1 collective:1 lapointe:1 upon:1 effect:4 campinas:1 inhomogeneities:1 ion:3 harris:1 kajimoto:1 hijing:3 normalization:1 nantes:1 distribu:1 lower:1 center:1 pennsylvania:3 fom:1 poland:1 modeled:1 boxes:1 analysis:1 directly:1 utrecht:1 does:1 studying:1 very:3 comparisons:1 model:7 c73:2 effects:6 lauret:1 agency:1 reconstruction:2 proposed:1 less:1 generally:1 rajasthan:1 obtain:1 consortium:1 shape:2 birmingham:2 botje:1 actually:1 polish:1 momenta:1 illinois:3 previous:1 conjugates:1 gluons:1 upton:1 rose:1 scales:2 fatemi:1 hyperons:2 simple:1 ruan:1 priori:1 pile:1 lett:20 bnl:1 plumer:1 east:1 plasma:2 intermediate:13 scientific:1 varying:2 kingdom:2 cramer:1 increased:2 government:1 thermalized:1 bands:3 mazumdar:1 nersc:1 tribble:1 munich:1 early:1 possibly:3 increases:4 poljak:1 gaillard:1 environments:1 background:1 nandi:1 average:1 using:5 imposed:1 rhic:9 occurring:1 loss:3 midrapidity:1 whitten:1 schmitz:1 particle:13 should:3 efimov:1 vernet:1 specific:1 collect:1 yields:18 decrease:1 nucleons:2 soft:1 qualitative:1 creighton:1 webb:1 weight:1 exceed:1 right:1 lectures:1 czech:2 pettini:1 successfully:1 some:1 back:1 cosentino:1 proper:1 multiple:1 kolk:1 rapidity:5 absent:1 shapes:3 scale:7 sharma:1 calculating:2 stringfellow:1 sufficiently:2 markert:1 quarks:3 recorded:1 fapesp:1 markers:1 chaloupka:1 okada:1 periphery:1 yepes:1 offices:1 systematical:4 columbus:1 2b:2 reveal:1 radial:1 experiment:1 unity:9 np:1 becattini:2 properties:1 hadron:1 enhancements:9 comparison:2 simplest:1 central:11 b465:1 bars:1 extending:1 choi:1 bmbf:1 dependence:1 o:5 simulation:1 angeles:1 fell:1 plus:5 stachel:1 constraints:1 c75:1 peak:2 therein:3 aggarwal:1 cambridge:1 strangeness:11 measurements:5 communication:1 into:3 within:3 washington:2 shed:1 nsf:2 markedly:1 down:3 included:2 appropriate:1 references:3 cent:2 determine:1 cormier:1 amsterdam:1 centrality:6 wada:1 significantly:2 uncertainties:1 statistics:1 institut:2 additional:1 barca:1 combinatorics:1 assumed:2 support:1 szanto:1 rcp:12 approximate:1 los:1 kravtsov:2 trigger:3 low:2 jinr:2 bloomington:1 rcf:1 was:6 witt:1 medium:3 interest:1 energies:3 hr:1 differences:3 jun:1 but:4 volume:6 eppley:1 ullrich:1 gain:1 auau:2 dy:4 removed:2 adler:2 hyperon:2 he:1 lynn:1 fragmentation:1 austin:1 whether:1 wieman:1 up:1 quantitatively:1 ur:1 work:1 trainor:1 pusan:2 kuhn:1 turnover:1 horner:1 similar:6 called:1 mioduszewski:1 mechanics:1 constant:3 inclusive:10 flow:3 measurement:2 abelev:3 singly:1 meanwhile:1 dashed:4 engineering:1 au:54 subtraction:1 our:1 nbin:7 formalism:1 distributions:5 universidade:2 regime:3 yoo:1 again:2 compared:6 nn:4 no:2 zhong:1 edwards:1 when:9 detail:1 ng:1 field:1 pasadena:1 republic:3 details:5 finch:1 igo:1 nq:1 out:4 deviation:1 star:15 zhou:1 chamber:1 models:1 centered:1 zhan:1 shown:4 carnegie:1 important:1 nucleus:2 massachusetts:1 suppression:10 variable:1 dense:2 slovak:1 jones:1 rykov:1 assume:1 ghosh:1 bottom:1 curve:1 calculates:1 portion:1 lafayette:1 nelson:1 volumes:1 phatak:1 recherches:1 observables:1 nuclei:3 keane:1 frankfurt:2 strings:2
|
0705.2512.txt |@word induites:1 partial:1 consider:10 results:7 invent:1 leads:1 proposition:4 gn:17 devoted:1 whose:3 preserves:1 simon:1 quasi:1 th:5 under:1 include:1 applied:1 2rk:1 very:3 continues:1 corollary:2 every:13 summarized:1 scoppola:1 matrices:1 condition:10 induced:6 positions:1 discrete:2 vector:4 small:1 eigenvalues:7 anal:1 upper:1 zero:6 zz:5 further:1 dynamics:2 linear:2 spectral:3 plays:1 specification:1 localization:1 guaranties:1 version:1 above:3 sup:1 new:2 increasing:2 acknowledgments:1 satisfy:1 full:3 exchange:13 respectively:1 component:1 here:1 address:3 along:8 damanik:2 eik:1 obtained:2 remark:2 ahead:1 shift:5 periodic:6 permutation:11 usually:1 suitable:1 involves:1 uniquely:3 followed:1 br:3 classification:1 modulated:1 masur:2 total:2 univ:1 use:1 prove:4 remains:1 positive:5 contains:2 next:3 ψj:3 vol:1 therefore:5 usp:3 until:1 more:1 fractions:1 operators:14 odinger:14 berlin:1 everywhere:2 normalized:4 eλ:17 particular:3 known:4 cases:2 hold:1 springer:1 word:5 mc:1 recall:5 work:2 mk:6 following:7 sturmian:2 proof:7 dn:1 renormalization:4 give:1 process:3 permutations:3 minimum:1 fibonacci:1 exclude:1 counting:1 verlag:1 rather:1 divided:1 holds:1 maps:2 criterion:1 pure:3 acta:1 displacements:1 map:16 product:3 description:1 singular:6 may:2 max:2 orbits:1 consequence:2 abuse:1 summarize:1 natural:8 dynamical:2 onto:5 sp:2 foliations:1 parameterized:1 element:1 hypotheses:2 veech:4 definitions:1 sa:2 order:1 ith:1 duke:2 numbers:4 quasiperiodic:2 over:3 entries:1 mainly:1 symbols:2 vito:1 mentioned:1 satisfies:7 still:1 its:2 dynam:2 subinterval:1 interesting:2 fix:4 lk:8 absence:4 systems:2 mail:3 main:1 return:4 greater:3 symbolic:2 katok:1 introduce:1 half:1 now:1 association:2 easily:1 several:1 2r:2 always:1 l2:2 irreducible:7 found:1 carlos:2 subset:2 en:2 ei:19 ej:10 ee:1 idea:1 related:4 investigated:1 measure:27 our:2 es:1 ejm:2 rauzy:15 space:3 denotes:1 contained:1 gutierrez:7 reader:1 denoted:1 rm:3 rn:9 cobo:6 induction:3 math:14 rk:18 theory:2 written:1 hull:1 discontinuity:2 little:1 departamento:3 standard:2 clarify:1 homeomorphism:1 york:1 ask:1 definition:1 r1:1 language:1 times:2 length:14 gordon:2 hence:1 generalizations:1 support:1 first:3 suffix:1 probability:4 encoding:1 ufes:2 coding:1 number:6 nested:2 done:1 another:1 open:4 given:16 necessarily:1 minimality:3 introduction:2 system:1 seminaire:1 returns:1 assumption:1 statement:2 bijections:1 arith:1 mostly:1 tool:1 continuous:10 than:4 18e:1 was:8 imply:1 normalizing:1 classes:2 ann:3 modern:1 argument:2 exchanging:1 any:4 angle:1 min:1 lim:1 isolated:1 note:1 oliveira:8 potential:5 take:2 interior:1 so:8 queff:1 exactly:1 unless:1 analyse:1 measures:2 position:2 pair:4 measured:1 class:1 constancy:1 ki:4 later:1 points:11 ferrari:1 left:3 section:4 fact:1 show:3 supported:2 notations:1 spaces:1 relation:2 iochum:1 uniform:2 d1:1 iet:19 lemma:4 only:3 aperiodic:1 circle:1 local:1 continuity:8 dm:1 means:2 de:10 words:3 exchanges:2 du:1 closure:1 regarding:1 arxiv:1 nauk:1 hasselblatt:1 fixed:3 iets:13 cǫ:3 set:26 exists:5 j1:1 j2:1 lnm:1 see:2 result:7 close:5 subject:1 brazil:4 ergodicity:4 eigenfunctions:1 state:1 smallest:2 closed:1 between:2 consecutive:1 jm:4 key:2 last:1 σn:6 according:1 hω:8 une:1 embedding:2 whole:1 matema:3 comment:1 cn:3 cm:3 characterization:1 cg:1 corresponds:1 dimensional:8 invariant:2 sequences:1 respect:4 pp:1 ei2:1 transformations:8 union:3 due:1 shortening:1 belongs:1 basic:1 ph:1 pn:3 ak:2 empty:1 ergodic:9 corresponding:4 spectrum:20 observe:2 eveloppement:1 2ǫm:1 assigning:1 those:1 case:3 subsets:1 will:9 suppose:2 itinerary:9 applies:1 di:1 property:2 boshernitzan:8 vb:3 intervalles:1 almost:17 metric:2 thus:1 ii:5 disjoint:1 ik:23 ready:1 ria:1 different:2 grant:3 lengths:2 alphabet:3 belong:1 same:3 poincar:1 proved:7 finite:3 literature:1 pisot:1 i1:2 i2:2 flows:2 sys:2 potentials:5 totally:1 identity:3 elec:1 schr:14 tica:3 well:5 analysis:1 sets:2 cce:1 entry:1 usual:1 cxp:1 just:1 obtain:2 intervals:10 identify:2 thanks:1 integer:4 λi:1 ergod:2 λn:9 unique:4 family:1 lebesgue:23 point:13 cantor:9 theorem:22 iπ:1 transformation:5 real:1 bellissard:1 rnm:1 showing:1 repetitions:1 period:1 subintervals:1 press:1 delyon:2 intersection:3 necessary:2 semi:2 follows:1 δm:3 steps:1 arbitrary:3 translated:1 reduced:2 therein:1 right:2 sequence:10 absolutely:4 some:8 growth:1 examples:1 b2:1 proper:1 provided:1 dense:5 nonempty:1 candidate:10 fapesp:1 comments:1 minimal:13 refer:1 disjoints:1 each:13 bk:2 multiplicative:1 step:1 simplex:1 although:1 substitution:2 properties:2 injective:2 central:1 quasicrystals:2 commun:4 a3:1 o:3 subshifts:1 a2:3 introduced:1 other:1 block:1 em:2 cambridge:1 presence:1 previously:1 into:2 rotations:1 bound:1 appropriate:1 references:2 operator:9 shrinking:1 schrodinger:4 additional:1 transfer:1 strictly:1 there:19 question:1 sends:1 appl:1 way:5 sections:1 form:5 enough:1 icmc:2 hv:4 gauss:1 hm:3 convergence:1 cnpq:2 partially:2 iterates:2 made:1 cylinders:1 ut:1 ωr:5 us:8 ωi:1 ωk:3 ωj:8 ωe:1 called:7 b1:1 partition:1 associated:9 defined:9 abstract:1 combining:1 denote:7 poitou:1 av:1 crystals:1 again:1 nk:2 nm:1 subshift:6 no:6 whereas:1 when:2 interested:1 role:1 mathematics:1 conclude:1 elements:1 models:1 shown:2 propositon:1 a1:6 generated:1 important:3 lenz:2 implies:3 using:1 assume:1 interval:40 orbit:11 time:3 n1:3 keane:2
|
0705.2513.txt |@word limited:1 concept:1 consider:1 remarkable:1 switched:1 caused:1 resist:1 focus:1 tested:1 esz:1 leads:2 eds:1 perturbations:8 centers:1 localized:4 particles:7 depend:1 calculate:1 aug:1 subjected:2 technique:2 granular:5 finally:2 does:1 excluded:1 applied:1 statics:1 probe:1 far:2 rise:1 account:1 induce:1 resistance:1 orientations:1 affect:1 deformations:4 condition:1 four:1 squares:2 level:1 transmission:1 brendel:1 nagel:1 solution:2 large:7 admissible:3 vector:1 small:9 configurations:1 prevent:1 smaller:1 force:50 disordered:1 penetrates:1 prediction:1 second:3 tangential:1 further:6 dynamics:4 chem:1 maloney:1 quite:1 vided:1 index:1 what:5 plays:1 appear:1 incompatible:1 selected:1 find:5 cell:3 above:1 new:2 increasing:1 method:5 coefficient:6 full:3 iran:1 gener:1 prescribe:2 equals:1 here:7 understanding:1 ranges:1 reported:2 packing:22 separation:2 address:1 directions:1 strong:3 change:4 deduced:1 obtained:5 institute:1 study:5 studied:1 approaches:1 herrmann:1 suggests:1 periodic:1 geng:1 changes:1 plotted:2 uniquely:2 f0:2 scales:1 merely:1 convexity:1 longhi:1 decrease:1 frame:2 apply:3 total:2 univ:2 unit:1 handled:2 would:1 goldhirsch:1 next:1 process:3 opposed:1 distortions:1 scope:1 goldenberg:2 theoretical:1 more:4 initiated:1 becomes:1 econ:2 initiates:1 reversible:1 rigid:5 known:1 cases:1 must:1 mg:1 plateaus:1 perturba:1 originally:1 work:1 itself:1 values:5 three:1 fulfill:1 example:1 performed:1 control:1 impose:1 figure:1 scan:1 predict:1 allowed:1 high:3 indicates:1 numbers:1 sense:1 sharp:3 occur:1 looses:1 andersen:1 goal:1 turn:2 provide:2 feature:1 how:6 nontrivial:2 low:2 instead:3 widespread:1 axis:1 explains:1 ensemble:8 circular:1 packings:12 description:1 may:3 after:1 applications:1 modest:1 fg:1 horizontal:1 law:4 data:3 response:12 fo:2 stress:1 frictions:2 lines:1 yielding:2 element:1 maintain:1 allow:1 correlation:2 order:5 help:2 saarloos:1 indeed:1 over:3 move:1 years:1 stability:4 sperl:1 experiments:2 experimentally:1 argued:2 its:2 vlugt:2 before:1 group:1 exclusion:1 decay:7 chosen:1 interesting:1 vicinity:1 decreases:1 clement:1 better:1 microscopic:1 systems:5 main:1 deformation:4 shear:1 them:3 motivated:1 delocalization:1 fig:14 disregarded:1 break:2 mention:1 walls:2 penetration:3 effects:1 they:4 discuss:1 structural:2 february:1 carrying:1 always:1 kert:2 traced:1 normally:1 displacements:5 2d:1 did:1 magnitude:2 each:8 found:4 out:4 side:2 characterized:1 homogeneous:1 square:2 directly:1 independent:2 doing:1 list:1 displacement:13 related:4 challenges:1 investigated:1 static:5 measure:1 our:4 transitions:1 rheology:1 nonmonotonic:7 shown:4 network:4 discrete:1 vch:1 open:5 rev:10 research:2 increase:4 contained:2 newly:1 induced:2 sliding:1 shows:4 wiley:1 enforcing:1 differ:1 possibility:1 monotonic:1 clarify:1 completely:1 intruder:1 generate:2 rearrangements:7 unresolved:1 geometry:1 starts:1 transition:3 motion:2 initiate:1 length:4 place:3 consequence:2 parallel:1 ated:1 first:4 origin:2 features:1 perturb:1 number:6 another:1 reached:2 message:1 unger:3 size:5 given:1 perturbation:19 checked:1 reference:1 their:2 system:9 least:1 plastic:3 zanjan:1 needed:2 intermediate:1 perfectly:1 structures:1 final:1 weinheim:1 gives:1 fraction:1 mostly:1 relative:1 exactly:2 direct:1 larger:1 part:2 favorable:1 than:1 coefficients:1 distance:3 zero:3 project:1 computer:1 were:3 tion:1 exhibit:3 comput:1 shrinks:1 pistons:1 pro:1 curves:1 correspond:2 randomly:1 seen:1 constrained:1 any:1 strength:1 angle:1 roux:2 depending:1 studying:2 latter:1 able:1 gravity:1 onset:3 sciences:1 ideal:1 contact:39 frictionless:3 forces:17 quadrupolar:2 circles:4 urge:1 incompressible:1 pext:3 normal:7 most:1 letter:2 pair:2 lemaitre:1 measured:1 why:1 stands:1 calculated:1 flow:1 mechanical:9 left:1 typically:2 quantity:1 show:6 random:4 friction:26 bring:1 radii:1 solutions:1 keywords:1 hungary:1 continually:1 networks:6 reminiscent:1 based:4 distributed:2 enough:1 interpenetration:1 only:6 snoeijer:2 factor:1 engrg:1 circle:1 local:10 combe:1 merged:1 equilibrium:5 meant:1 do:1 goes:1 means:1 fluid:1 ones:1 closely:1 competing:1 penetrate:1 averaged:2 procedures:2 reveal:1 budapest:3 resolve:1 explore:1 fields:1 arxiv:1 yield:3 crc:1 investigate:2 common:1 fixed:1 inside:1 view:1 satisfy:1 set:6 questions:1 exists:1 achieved:1 exerted:1 up:3 observed:2 mentioned:1 depends:1 individual:1 radius:2 best:1 surfaces:2 exponent:8 opening:2 convex:1 materials:1 state:3 determined:1 various:1 between:11 exploration:2 boundary:2 conditions:4 terms:1 hecke:2 nature:2 importance:1 component:2 weak:3 however:1 inagaki:1 key:1 configuration:3 both:5 many:2 region:2 acknowledge:1 space:1 against:3 anos:1 rojo:1 connection:3 grain:3 dated:1 efficiently:1 disappears:1 load:4 detailed:1 extent:1 point:7 cc:1 corresponds:1 walk:2 dimensional:3 strengthening:1 jammed:2 moreover:1 forms:1 consuming:1 tuning:1 due:4 been:4 describes:1 basic:1 expected:1 compatibility:1 choose:2 dots:1 interparticle:1 direction:1 corresponding:1 indeterminacy:12 quantities:2 thousand:1 gas:1 coincides:1 gap:6 external:4 systematic:1 presented:1 present:2 case:4 intriguing:1 grains:10 pacs:1 solid:3 examine:2 value:4 will:2 rattlers:1 behavior:10 procedure:1 changed:2 averaging:2 thus:2 examined:1 cond:1 cone:1 sits:1 movements:1 different:9 grant:1 perform:1 media:3 cross:1 same:8 parts:1 largest:1 units:1 several:1 events:1 luding:1 evolve:1 used:1 numerical:5 effect:4 hand:2 compared:1 moving:1 changing:1 recent:2 prescribed:1 mech:2 off:1 presses:1 studies:2 nonetheless:1 well:1 analysis:1 without:3 very:3 position:2 jean:1 frictional:1 dimension:1 maxima:1 fcont:11 softening:1 sizes:2 shape:2 intervals:3 tools:1 immediately:1 macroscopic:1 note:1 interestingly:1 liu:1 mcnamara:1 interested:1 transformed:1 lett:6 sheared:1 take:1 resolved:1 increased:2 breaks:1 results:1 possible:3 test:1 compaction:5 using:2 advanced:1 apart:1 like:1 particle:5 shaped:1 collective:1 disks:6 howell:1 rearrangement:1 become:3 soft:2 essential:1 beneficial:1 because:4 methods:1 deal:1 creation:1 some:1 kolb:2 respect:1 happens:1 scale:2 dense:1 lead:1 contacts:13 stronger:1 establish:1 avoid:1 measurements:2 recorded:1 extensively:1 critical:17 provides:1 refer:1 assembly:1 power:4 problems:1 fcrit:11 reza:1 pp:1 deformable:2 pressure:5 step:1 accompanied:1 exciting:1 properties:7 takes:1 comparison:1 constraint:3 freedom:1 dependence:4 simulation:1 range:2 wolf:2 consequently:1 block:1 perturbed:7 previously:1 into:4 within:1 bath:1 perturbing:1 right:1 determine:4 frames:1 proportional:1 anderson:1 significantly:1 van:3 compression:2 elastic:2 support:1 there:5 question:1 start:1 accordingly:1 appl:1 inner:3 way:1 slopes:1 was:12 therefore:3 function:1 arise:1 form:2 but:2 idea:2 volume:2 collected:1 behringer:2 injection:1 constitute:1 consist:1 mat:1 smooth:2 maximum:4 limit:2 problem:1 similar:5 average:12 strongly:2 interval:1 constant:2 pin:1 defined:1 certain:1 describe:1 influence:2 general:1 single:4 simulations:2 check:1 constructed:2 again:1 functions:2 avoided:1 otka:1 no:3 dashed:1 when:4 vanishes:2 field:11 other:2 role:2 department:1 techn:2 jamming:2 contacting:2 tam:1 picture:2 stat:1 apparent:1 getting:1 uniformly:1 attributed:1 variation:1 generated:5 important:2 peak:1 suited:1 vectors:1 structure:3 building:1 coupling:1 coulomb:2 garcia:1 physics:3 required:1 curve:1 together:1 unjamming:2 inset:2 panja:1 time:2 starting:3 original:7
|
0705.2514.txt |@word irradiance:1 limited:2 code:10 sci:1 caused:1 lightcurves:3 edn:1 results:3 illustrated:1 eds:1 muller:1 entropy:1 claret:2 cooperative:1 consists:2 remarkably:1 hauschildt:6 causes:1 millisecond:8 zuckerman:1 terms:1 baron:3 aug:1 graph:1 show:1 tn:1 lower:1 program:1 those:1 under:3 analogous:1 2mass:2 brown:2 colours:2 garden:1 advantage:1 very:1 trauger:1 springer:1 should:2 gyuk:1 cool:6 mathis:1 callanan:10 evolved:1 level:3 did:1 tex:1 shock:3 j1808:2 solution:1 leave:1 fruchter:14 small:2 manchester:2 becker:1 cox:3 noted:1 foley:1 work:1 tenuous:1 garnavich:1 insignificant:1 consistent:1 estimates:5 heiles:1 aip:1 past:1 le1:1 second:1 street:1 pasp:2 further:1 ter:1 situated:1 canonical:1 universities:1 aim:2 what:1 errors:1 sub:1 rate:1 cocchi:1 contributed:1 while:1 debate:1 current:4 consistently:1 version:1 jerome:1 above:5 new:5 technology:1 consisting:1 contrast:3 totalling:1 simultaneously:1 ms:1 degree:1 murphy:1 respectively:3 gathered:1 iraf:4 vanderbilt:1 here:2 hours:2 possibility:1 separation:1 situation:1 based:1 along:2 observing:1 appears:3 box:1 search:1 pressure:1 institute:2 study:1 larger:1 allows:3 reason:1 leaving:1 stella:1 simultaneous:2 resulting:1 california:1 spin:4 symmetrical:1 livingreviews:1 blackbody:2 lorimer:2 useful:2 although:3 ephemerides:1 pulsar:40 compare:1 highly:2 apj:22 tidal:2 total:1 interest:1 use:4 usa:3 tightly:2 msp:2 scenarios:1 comparing:1 sample:1 camera:2 m4:1 centre:1 taken:3 micron:1 associated:1 type:5 until:1 diagrams:1 more:1 05m:2 israel:1 higher:1 conclusions:1 acceptable:1 corrected:1 emission:5 validity:1 hydrostatic:2 hynes:1 cm:1 warm:1 located:1 surface:7 bogdanov:2 excellent:2 known:1 kulkarni:7 md:1 account:1 ma:1 mm:1 science:4 equation:1 mn:1 eclipse:4 modified:1 reviews:1 remain:2 erg:1 values:3 temperatures:1 den:3 following:2 about:2 radius:3 f3:1 modulation:1 degenerate:2 figure:8 process:2 stetson:2 allowed:2 naturally:1 natalucci:1 high:1 indicates:1 minimum:8 7rh:1 illuminated:6 magnitudes:5 darkening:1 reynolds:5 occur:2 verlag:1 information:6 end:1 varied:2 provide:2 hydrogen:2 discussion:1 globular:1 chabrier:2 hampered:1 dependent:1 stinebring:2 mapt:1 rolfe:1 white:4 panic:1 undertook:1 filippenko:1 mat:1 may:2 thermodynamic:1 derived:1 produce:2 heuvel:2 mag:2 date:1 worthey:1 data:24 types:1 las:2 stress:1 atnf:1 dynamical:1 johnson:1 b1937:1 negligibly:1 light:19 ablation:2 sp:1 yielding:1 encompassing:1 extrapolation:1 davies:3 allow:1 taking:1 subsequently:1 wind:1 wavelengths:1 30µm:1 produces:1 september:1 leggett:1 over:1 spectral:3 vary:1 perturbed:1 meter:1 distortion:1 course:1 thermal:2 paper:4 through:1 filters:1 argued:1 still:1 its:14 envisage:1 before:1 thomas:2 style:1 thank:1 fit:13 la:1 masses:5 perturb:1 daophot:1 ruderman:3 detected:2 hester:1 systems:9 convective:2 clusters:1 main:2 f675w:2 tentatively:1 non:3 affected:1 greater:1 combination:2 material:5 pjc:1 primary:1 band:23 asymmetrical:1 they:1 half:3 association:1 radiatively:1 easily:2 february:2 itself:1 campanas:2 parameter:2 university:4 routines:1 filling:14 magnitude:8 arrow:1 each:1 found:9 photometry:6 side:9 kippenhahn:2 constraints:1 schenker:1 england:1 telescope:5 undetectable:1 series:1 energy:6 abnormal:1 stappers:7 favour:1 extended:1 gates:2 expect:3 combining:1 our:25 beyond:1 out:3 large:6 shown:1 space:3 gradient:10 furthermore:2 research:5 increase:1 re:3 nominal:1 dominated:1 flowed:1 wide:1 max:1 suggesting:1 surprise:1 induced:1 occurs:1 foundation:3 turning:1 state:4 rieke:1 romani:1 confidence:1 mechanisms:1 little:1 backer:3 standard:2 completely:1 formation:1 york:1 members:1 f814w:2 estimate:3 telescopes:1 log:1 teoh:1 incorporates:1 pairs:1 unresolved:1 could:5 cosmic:1 counterpart:4 turn:1 plane:1 place:1 hence:4 exhibited:1 first:3 major:1 there:2 striking:1 number:7 bazzano:1 clear:3 utilized:1 least:2 directly:3 impossible:1 arzoumanian:4 clarity:1 size:2 min:1 given:6 checked:1 temperature:33 strasbourg:1 introduction:1 unknown:1 achieved:1 system:33 approximately:5 roche:18 their:5 cooling:1 accretion:1 advection:1 observations:10 percentage:2 recent:1 ranging:1 too:2 spindown:1 fraction:2 relative:1 accurately:1 persson:2 optical:15 apjs:2 july:2 avanzo:1 than:6 king:4 observatory:2 l47:1 effective:4 require:1 shaham:3 likely:3 modelled:2 final:1 project:1 matter:2 decided:2 circulation:5 were:13 w3:1 10th:1 lewin:1 exhibit:1 function:1 san:2 harris:1 radial:1 curves:3 bessell:2 sax:2 astrophysical:1 manner:3 becklin:1 allen:1 constrained:3 albedo:6 ray:4 wilson:2 nights:2 phinney:2 uncertainty:1 der:1 once:2 efficient:1 hubble:2 isolated:2 thorough:1 gaensler:1 note:1 fitting:2 potential:1 typeset:1 negligible:1 unconstrained:1 pumped:1 klis:1 accuracy:1 even:3 added:1 though:1 any:1 object:2 phases:3 evaporate:1 wht:4 most:3 redistributed:1 bolometric:4 printed:1 significant:1 psrcat:1 phase:4 acquired:1 measured:4 class:2 latex:2 deviations:1 charbonneau:2 mass1:1 subtracted:2 dwarf:5 considered:2 calculated:2 flow:1 drive:1 face:1 ks:11 points:8 funded:1 pattern:2 levinson:3 quiescent:1 constrain:6 typically:2 lying:1 planetary:1 atmosphere:1 leicester:2 converse:1 supported:1 infrared:3 discovered:1 iband:1 attempts:4 evolutionary:1 radio:6 inconsistent:1 cds:1 campana:2 determined:3 find:8 decade:1 xmm:1 indicator:1 bildsten:3 ratio:3 parameters:5 implementation:1 explain:1 casertano:1 distributed:1 catalogue:1 hrs:2 short:1 quiescence:1 only:10 unable:2 black:1 rengelink:2 factor:4 employed:1 oct:2 equilibrium:2 distribute:1 means:1 lobe:18 displayed:4 impinging:1 overall:1 processing:1 joint:1 watson:1 words:1 during:6 baraffe:1 interpreted:1 routine:1 secondary:49 portion:1 evolution:1 resolve:1 600s:1 covering:2 luminosity:5 arxiv:1 motion:1 across:5 hemispheres:1 b1957:29 investigate:1 predicted:1 sustainable:3 bloated:2 widow:1 irradiation:3 set:3 ser:1 sep:1 physically:3 national:3 up:3 observed:15 ara:2 see:7 individual:2 college:1 result:2 operated:2 close:5 luminous:1 best:8 subject:1 herschel:1 expert:1 subsequent:1 away:1 currently:2 secondaries:1 orosz:3 initially:2 behind:1 converted:1 phased:2 radiated:1 between:7 orbiting:1 grindlay:1 author:1 bailyn:1 conditions:1 email:1 discovery:2 variability:1 campaign:1 emitted:1 recently:1 j0024:1 berg:1 missing:1 baade:1 alexander:1 nashville:1 reradiated:1 however:7 tavani:4 poorer:1 incident:2 harvard:1 hypothesis:1 would:8 key:1 tuc:2 distribution:1 allard:4 suggested:1 both:4 hits:1 eichler:4 prescription:1 corroborated:1 similar:6 region:4 bvri:2 according:2 attributed:1 irradiated:5 contribution:2 baltimore:1 huang:2 timescale:1 point:3 sky:1 period:5 dimensional:1 eales:3 ucc:1 table:6 throughout:1 chakrabarty:3 late:3 proceeded:1 ubertini:1 basis:2 addition:1 equations:1 radiative:2 due:4 been:7 inertia:1 beer:5 hobbs:2 complicated:1 combined:5 ireland:2 expected:2 ph:2 fig:1 obtained:9 faintness:1 myr:1 corresponding:2 quantities:1 modelling:8 observe:2 determination:1 chile:1 astron:1 evidence:4 djorgovski:2 present:3 reddening:1 case:8 survey:1 reliable:1 eclipsed:1 value:8 will:2 precursor:1 near:2 error:2 exist:5 eclipses:1 tmax:1 procedure:1 unsatisfactory:1 studied:1 nextgen:3 mtr:1 ir:5 casares:1 discrepancy:1 heating:7 cluster:1 vs:2 claimed:1 ephemeris:1 ie:1 orbital:13 binary:7 grant:1 charles:2 suggest:2 radiation:4 cross:1 same:2 intra:1 member:1 html:1 largest:1 products:1 constructed:1 neutron:3 residing:1 status:1 independent:2 used:7 http:2 exponents:1 fielded:1 effect:4 ferguson:1 companion:18 kaspi:1 v2:1 levels:1 uses:1 mcomp:1 cycle:1 bhattacharya:2 task:2 center:1 scenario:2 database:1 acknowledge:1 colour:8 polytropic:1 well:3 full:1 analysis:4 calibrated:1 residuals:1 incapable:1 simulated:1 position:1 model:22 binaries:2 effects:2 goss:3 mclean:1 proposed:1 less:3 being:3 able:2 proximity:1 newton:1 obtain:3 4th:1 gravity:1 via:1 mechanism:2 part:1 followed:1 previous:7 tables:1 accreting:1 1989a:2 1989b:2 field:6 elc:12 bell:1 had:3 density:3 5m:1 source:1 combine:2 input:1 extensive:1 east:1 resolved:2 sonic:1 increased:2 articles:1 providing:1 smithsonian:1 dark:1 test:2 mon:1 background:1 psr:34 using:12 accurate:1 ruled:1 atmospheres:2 loss:2 like:2 cooler:1 obvious:1 flux:2 starting:1 martin:1 reduced:1 csiro:1 therein:1 www:2 because:1 old:1 sequence:1 χ2min:1 kerkwijk:2 dwarfs:3 francisco:1 sight:3 observatories:1 images:7 savage:2 extinction:2 roth:1 ryba:2 measurements:1 paradijs:3 critical:1 simbad:1 demonstrated:1 inclination:15 measuring:1 nag5:1 run:1 bold:1 rep:1 night:1 aj:3 agreement:7 cork:1 stellar:3 how:1 cordes:1 hst:4 described:1 prepared:1 subtract:1 drives:1 comparison:2 limitation:1 carried:1 column:1 powered:1 o:2 range:6 msps:3 ensure:1 bookbinder:1 reproducing:1 consequently:1 seeing:2 soc:1 cambridge:1 suited:1 burning:1 presence:1 previously:1 image:2 within:3 ltsa:1 down:4 references:2 heated:7 ultracool:1 financial:1 france:1 1999a:1 1999b:1 van:9 additional:1 podsiadlowski:2 few:1 assumed:1 support:1 initial:1 question:1 m7:1 why:1 aldcroft:2 applegate:3 low:7 stars:3 ed:1 astrophysics:2 was:43 covino:1 ensured:1 questionable:1 considerably:1 north:1 complete:1 form:1 hr:1 attempted:1 irradiating:2 agrees:2 lane:1 but:5 astro:1 heat:1 heise:1 link:1 solar:1 mnras:5 line:3 made:1 consist:1 whether:1 pulsars:5 burrows:1 maximum:9 us:4 prep:1 below:1 un:5 limit:1 spectroscopy:1 lmxbs:1 problem:1 hydro:1 minutes:1 display:2 nature:6 interplay:1 taylor:5 constant:1 flat:1 defined:1 steady:1 abstract:1 contribute:1 direction:3 holtzman:2 au:1 file:2 magellan:2 check:2 inc:1 nh:1 again:2 ideally:1 no:6 zand:2 whereas:1 when:1 detail:1 reality:1 tight:1 other:4 compares:1 details:1 department:3 kindly:1 poor:1 explaining:1 repeat:1 star:25 models:7 org:1 krzeminski:1 includes:1 william:1 important:1 palma:1 massachusetts:1 coverage:1 velocity:1 variable:1 marconi:1 astronomy:4 sides:1 exposure:3 l67:1 longer:1 algorithm:1 physics:3 required:5 curve:16 orbit:2 rule:1 j2051:3 inset:1 nasa:3 mass:32 fact:1 time:7 accreted:1 requires:2 original:2 eclipsing:5
|
0705.2518.txt |@word katz:1 rev:13 magnetic:2 varying:1 results:10 four:1 supplement:1 generalize:1 consists:1 gn:2 amplified:2 whose:1 gases:1 depend:1 calculate:1 collisions:2 rayleigh:3 finally:1 include:2 cm2:1 indicating:2 amplitudes:1 zhang:1 very:1 frequencies:10 resonant:6 experimentally:3 difference:21 modulator:1 presented:3 bonifacio:2 large:3 indices:1 torii:3 exhibits:1 dip:1 equation:2 smaller:2 nikolopoulos:1 oscillation:2 pulse:13 approximation:1 zero:1 further:1 dynamics:15 kempen:1 theory:2 spectral:2 nonlinear:2 trapping:2 rate:3 dephasing:1 axial:1 experiment:5 consisting:2 coefficient:3 agreement:3 respectively:2 component:1 atoms:13 desired:1 excess:1 along:3 strong:16 equations:4 appears:1 obtained:2 noticeable:1 institute:1 shift:4 study:5 studied:2 allows:3 resulting:2 resonance:10 fourier:1 der:2 elongated:3 king:2 composed:2 diameter:1 technique:1 followed:2 explained:1 replace:1 scaled:1 visible:2 modulated:1 buildup:5 total:1 readily:1 plot:2 use:1 distinct:1 weizmann:1 next:1 few:1 ψn:8 therefore:4 taken:2 black:2 selects:1 theoretical:4 separated:1 flat:1 israel:1 populations:6 rehovot:1 inguscio:1 emission:10 controlling:1 normalized:7 particular:2 account:5 mf:3 effectively:1 mm:1 science:3 setup:2 averaged:10 glauber:2 labeled:1 values:1 ms:2 following:3 im:1 pritchard:3 spontaneous:2 performed:1 figure:2 acousto:1 process:13 trap:3 sample:1 indicates:2 numbers:2 allowed:1 exclude:1 axis:5 rather:5 verify:1 ultracold:2 chemical:1 far:1 pure:1 yoshikawa:2 mat:1 modulation:1 after:4 explored:1 waves:1 data:3 response:12 kurn:1 short:2 dynamical:1 effective:1 light:5 spectra:1 correspond:1 chikkatur:1 green:1 pulled:1 order:3 typical:1 over:3 raised:1 feature:1 stamper:1 thermal:3 experiments:4 through:3 thesis:1 affect:1 mentioned:1 existence:1 still:1 excitations:1 its:2 cola:1 controllable:1 lc:1 fit:2 chosen:3 pulses:1 better:1 according:1 fig:14 main:1 image:1 non:1 straten:1 prevented:1 evolution:1 introduce:2 framework:1 effects:2 they:1 front:1 πd2:1 february:1 finite:1 grows:1 possibilities:1 magnitude:1 mode:28 radial:3 found:2 spectroscopically:1 side:1 referred:1 ei:4 quadrupole:1 energy:7 reduce:1 related:3 frequency:52 measure:3 quantum:4 our:12 eq:1 out:3 ketterle:3 shown:3 dominates:1 driving:1 space:1 since:4 interference:1 content:2 re:1 rb:1 induced:2 occurs:1 red:3 shows:4 foundation:1 lugiato:1 earlier:1 turning:1 linear:1 pumping:1 standard:1 small:3 imaging:3 pairs:1 created:6 geometry:1 could:2 transition:1 times:3 creates:3 length:1 hence:1 undergo:1 eqs:1 first:5 fx:1 features:1 number:4 intuitively:1 deplete:1 fast:1 directly:1 open:1 size:1 given:3 rempe:1 indicate:1 together:1 condensate:3 smoother:1 2ωr:3 system:1 approximately:1 their:3 1d:1 passed:1 realization:1 scheme:1 recovered:1 calculations:5 trapped:1 centered:4 acquire:1 accurately:1 optical:1 sugiura:1 schr:2 fallani:1 than:3 population:13 peaked:2 observed:2 bec:16 intensity:2 collinear:1 matter:1 amplitude:2 were:4 exhibit:1 hz:3 modulating:1 msec:3 spectrum:16 randomly:2 seed:10 seen:3 clearly:3 cataliotti:1 strength:1 partly:1 studying:1 polarization:1 k2:1 potential:1 take:1 rowen:1 haake:2 davidson:2 gill:1 blue:1 differences:1 signifying:1 experiences:1 jul:1 letter:1 phase:30 measured:10 pages:1 manifested:1 observation:1 nonlinearity:1 kk:1 ckl:3 calculated:8 broadened:2 kl:2 part:1 width:1 show:4 random:1 scattered:1 syassen:1 superradiant:32 trivial:1 find:3 ground:1 completion:1 based:2 knowledge:1 parameters:4 pump:40 should:1 generators:1 factor:2 oscillate:1 hopf:1 conserving:1 do:1 notation:1 wide:1 dependent:3 beams:2 quantified:1 4ωr:10 beam:16 eitan:1 cannot:1 nearly:2 despite:1 during:2 2ml:1 processes:3 resolve:1 bar:1 arxiv:1 twice:1 paper:1 including:1 fixed:16 revealing:1 bars:1 set:1 exists:1 oscillations:7 relative:2 collectively:1 see:3 result:7 enhanced:1 close:1 phases:3 pattern:1 µw:1 µs:1 label:1 state:1 between:19 experi:1 recently:1 creating:1 vertical:2 nature:3 weak:9 however:4 interfere:1 spectroscopic:8 twophoton:1 bose:3 come:1 ozeri:1 suggested:1 both:11 taking:2 nomenclature:1 attributed:1 display:1 etc:1 figures:1 dated:1 context:1 70µm:1 mean:1 schroedinger:1 experimental:10 inouye:1 relevant:1 addressing:1 simply:1 coordinates:1 seeding:1 considering:1 broadening:1 described:1 pu:1 addition:2 create:2 oder:2 due:6 detuning:1 describes:1 slowly:1 interest:1 basic:1 expected:4 ph:1 direction:1 controlled:2 coherence:3 excite:1 coherent:7 observe:1 understand:1 angles:1 present:1 case:3 multi:1 novel:1 laser:4 exponential:4 pacs:1 solid:2 stenger:1 while:2 error:2 squeezed:1 i2πf:2 coupled:3 phenomenological:1 funded:1 thus:4 them:2 discrepancy:1 equal:1 itself:1 cond:1 avg:2 7µm:1 different:1 sensitive:1 perform:2 radiation:3 cross:1 same:1 orders:1 stimulated:2 gibbs:1 largest:1 dimensionless:2 several:4 events:1 calculation:6 used:6 peaks:9 optic:1 absorb:1 effect:5 haus:2 driven:1 average:1 nir:2 mentally:1 lower:3 narrow:2 off:4 modes:59 well:2 components:7 position:1 model:8 mismatched:1 µsec:7 less:2 rest:1 intervals:1 atomic:21 campbell:1 spatially:1 scattering:7 captured:1 note:3 renewed:1 density:1 absorption:7 photons:2 dicke:2 friedrich:1 other:1 lett:5 excited:5 momentum:3 minerva:1 around:3 bands:1 spatial:1 measurement:3 term:2 schematically:1 ψnm:4 using:7 depicts:1 semi:5 qualitative:3 continue:1 mhz:2 either:1 downward:2 works:1 signal:1 sharp:1 classical:5 fresnel:1 condensates:1 growth:3 kuga:2 images:2 scale:4 broad:2 measurements:6 per:1 does:2 provides:1 yields:2 volz:1 refer:1 noise:1 detuned:2 each:3 perpendicular:1 properties:2 comparison:1 carried:2 dependence:6 o:1 carrier:2 introduced:1 considerations:1 equally:2 significant:1 maxwell:2 into:5 steinhauer:1 pair:1 einstein:3 proportional:1 reducing:1 theoretically:4 schrodinger:1 van:3 additional:1 featureless:1 area:1 initial:5 long:7 spread:3 conservation:1 fraction:2 forward:22 was:6 kokkelmans:1 function:8 boyd:2 enough:2 superradiance:22 but:3 repeated:1 recoil:5 gain:6 atom:7 ioffe:1 fort:1 builds:1 evident:3 ωr:3 smooth:1 up:2 us:1 work:2 below:2 limit:2 emissions:1 spectroscopy:1 pumped:1 fluctuations:4 distribution:1 similar:1 emit:1 strongly:1 khz:18 constant:1 defined:1 sectional:1 dξ:2 duration:5 single:5 rule:1 flight:4 formalism:2 durr:1 regime:10 compared:6 dotted:2 no:1 dashed:3 preventing:1 setting:1 compares:1 papers:1 unobservable:1 conclusion:1 poor:1 may:1 excitation:7 photon:5 includes:2 a1:3 generated:1 a2:3 peak:4 included:1 stam:1 structure:5 correlated:1 coupling:22 corresponding:1 verhaar:1 required:1 governed:2 time:24 meystre:1 backward:38 requires:1 original:2
|
0705.2519.txt |@word four:3 consists:3 localized:2 sch:1 whose:3 const:1 divergent:1 updated:1 diener:4 rise:1 affect:1 suffices:1 solution:1 force:4 zerilli:15 consistent:1 direct:1 approximation:16 second:3 chen:2 qualitatively:1 implemented:1 blue:2 established:1 dr2:1 farese:2 above:17 new:7 net:1 increasing:1 coefficient:3 residual:1 here:20 reported:1 e2ik:1 obtained:12 property:2 study:4 leaver:1 pullin:1 fourier:1 changes:1 mutual:1 explained:4 replace:3 total:1 rω:9 unit:1 plot:4 would:4 negative:8 m1:12 therefore:4 m2:12 zlochower:4 type:18 until:4 curvature:1 correspondingly:2 excellent:5 hole:20 mg:1 work:11 cancellations:1 theories:2 example:4 indicated:2 give:1 imω:1 relativistic:7 organized:1 implementations:4 involve:1 indicates:7 imϕ:1 degenerate:1 1pn:1 absolute:2 end:5 feature:5 very:13 methodology:4 answer:1 fudge:1 description:9 replacing:2 after:11 inessential:1 law:5 types:4 effective:15 think:3 green:1 keeps:1 operate:1 order:11 triggering:1 over:5 vary:3 expects:2 london:2 resummed:8 before:6 fit:3 fix:1 exhibits:2 better:6 fig:32 hidden:1 versus:6 them:4 combination:5 superposed:1 amenable:1 effects:14 they:13 represents:4 reasonable:1 each:10 went:1 mean:1 financial:1 series:1 ligo:3 yvette:1 combining:2 laboratory:1 t1:2 sℓm:2 network:1 driving:1 restricted:4 crucial:2 mα:1 seidel:2 numerical:40 linear:5 mω:13 little:1 free:1 standard:3 tial:1 estimate:6 wanted:1 r4:7 r2:4 r3:6 starts:2 ds2:1 multiparameter:1 att:1 corrections:19 uses:1 already:4 features:1 spinning:6 quadrupole:12 illustrate:2 toy:1 iω0:2 similarly:2 top:2 approximately:1 needed:2 perturbations:1 compromise:1 too:6 centered:2 zeroth:1 somewhat:1 distance:1 showed:2 reisswig:1 preparation:2 matter:1 iωn:1 powers:2 minus:1 perturbative:2 sathyaprakash:1 rad:10 sees:1 mind:1 spectrum:1 pedagogically:1 manner:1 seen:1 relatively:2 strength:1 convenient:2 thorough:2 fitting:1 even:12 though:4 object:2 vallisneri:1 phase:19 detectors:3 points:2 principle:1 sum:1 dot:1 padé:2 labels:1 waveforms:46 gauge:2 subtle:1 d2:1 availability:1 proposed:3 implementation:10 explain:1 summarizing:1 integrate:1 continuity:1 do:4 dj:6 di:3 de:4 db:1 preferred:2 dt:15 dr:5 heaviside:1 covering:2 acknowledgments:1 twice:2 bad:1 analytical:33 blanchet:4 etudes:1 fair:1 sensitivity:2 detection:2 depends:2 radius:5 result:8 discussions:1 marronetti:1 best:10 consistency:2 µm:1 hopefully:1 approach:13 terms:15 extend:2 weak:1 however:8 news:2 packages:1 improve:5 essentially:7 uncertainty:1 contribution:2 argue:1 schafer:1 decoupling:1 basis:1 radiative:1 three:2 been:11 much:8 interest:3 basic:4 expected:4 dots:1 quantities:1 excite:3 spin:2 resummation:4 excited:4 aim:8 near:12 abrupt:3 balance:1 procedure:2 remembering:1 iv:4 ii:11 comparative:1 ib:2 make:2 linked:1 complex:11 quant:3 dimensionless:4 several:3 showing:1 templates:6 independent:1 trajectories:1 differing:2 hand:6 cycle:6 mentioning:1 spacetime:1 quantitative:2 left:3 3pn:9 just:3 thanks:1 yet:1 previous:4 adding:1 enters:1 mix:1 had:1 campanelli:6 easy:1 requiring:2 coalescing:6 iφ:1 possible:7 possibly:3 background:2 unique:1 appearing:1 specific:2 steps:1 overtone:1 right:6 proportionally:2 tartaglia:2 bottom:3 normal:4 derivatives:3 oscillating:1 illustration:1 post:3 properties:1 kinematical:1 o:19 plunging:2 ensure:1 terminology:2 horizon:1 slightly:2 obs:1 soc:2 presence:3 down:19 lies:1 refined:2 rely:1 support:2 initial:7 approximate:3 class:3 stuck:1 way:6 call:1 pragmatically:1 was:15 lowest:1 form:4 simplifications:2 differences:2 denoting:1 encodes:1 solar:1 true:2 versions:2 maximum:21 complications:1 computing:4 conserved:1 simulations:6 check:2 physical:7 faithful:8 dotted:4 no:4 when:14 vanishes:1 nx:1 test:2 nr:1 superposition:3 truncate:1 diagnostics:1 uniformly:2 interferometric:1 factorized:2 coulomb:1 assume:1 interval:13 together:2 resonances:1 dϕ:1 slope:1 logarithms:1 remarkable:2 varying:3 focus:1 leads:3 computation:5 remarkably:1 dimensionality:1 depend:1 zone:1 technique:5 finally:4 ringdown:5 advantage:1 frequencies:8 phasing:7 hannam:1 choice:3 stays:2 cook:1 emphasized:1 exact:58 partitions:1 impressive:1 presented:3 did:3 turns:1 leave:2 upper:2 oscillation:4 htm:1 maximization:1 prediction:1 sign:4 initialized:1 postnewtonian:1 appear:2 assistance:1 current:5 template:5 satisfy:1 malized:1 multipole:2 understanding:7 groups:1 address:2 along:2 change:2 studied:2 trial:1 resonance:3 conveniently:1 studies:1 useful:6 extra:1 flexibility:1 prove:1 positive:14 france:1 theoretical:3 diagrams:1 introducing:1 gopakumar:1 ruffini:2 validity:3 visual:1 cases:1 effort:1 originally:1 modified:1 values:14 hope:1 9th:1 growing:1 making:1 want:1 figure:2 sample:1 evidently:1 requirements:1 s2:1 s1:1 pure:1 plus:5 parameter:8 product:1 information:5 explored:2 deviates:1 improving:2 representations:1 data:1 grow:1 dynamical:8 maybe:1 explicit:4 thorne:1 so:14 representation:1 increase:3 superscript:2 schwartz:1 lso:7 pointed:3 displayed:1 counterclockwise:1 argued:1 still:4 derive:1 thank:1 chandrasekhar:1 how:5 interesting:2 vicinity:1 coordinates:1 forms:1 constitutes:1 main:2 non:34 thereby:2 matches:1 introduce:1 lesser:1 hamilton:1 now:6 discuss:3 halo:3 matched:11 term:2 kerr:2 square:3 significantly:7 entering:2 eq:10 gonzalez:1 ultimately:1 space:3 looking:1 contained:2 investigation:1 formula:7 correct:2 shows:8 theory:3 divergence:1 fisica:1 quite:7 complicated:2 degli:1 rlr:2 cycles:1 derivation:1 transition:5 motion:9 turn:1 ture:1 neglect:1 first:23 origin:1 afer:1 variables:4 coming:1 transform:1 simplified:1 fast:3 impossible:1 ring:41 angular:17 computed:9 given:5 checked:2 indicate:1 constants:1 convention:1 speaking:1 gives:8 fraction:1 schwarzschild:6 accurately:4 x3:1 than:20 specify:2 computes:1 future:3 were:3 outcome:1 grossmann:1 correction:7 argument:4 dash:1 say:6 distorted:2 any:9 note:12 potential:3 take:1 coincide:2 modulus:19 ajith:1 opposite:1 price:2 pair:1 analytically:4 democratic:1 especially:1 considered:2 later:2 quantity:4 precise:2 spaced:1 show:2 ground:2 slow:2 ratio:13 robs:2 written:1 analytic:13 only:19 explicitly:1 black:39 sensitivities:1 get:2 nearly:4 distinctly:1 geo:2 adiabatically:5 giuria:1 yield:3 mapped:1 imposing:2 ends:1 relative:13 namely:3 concern:1 ways:2 label:1 behind:5 between:23 overdot:1 αn:2 notice:1 vertical:2 densely:2 virial:1 comb:4 reaction:28 σn:3 many:1 region:1 job:1 dated:1 multipoles:3 expression:17 comes:1 σt:1 among:1 continuation:1 deviating:2 period:1 considering:6 mark:1 damping:2 bures:1 photon:1 efficients:1 those:3 case:13 developing:1 promising:1 metric:2 marcel:2 binary:10 different:9 same:3 shifts:1 pad:4 arguments:2 regime:4 pan:1 extended:1 driven:1 anticipated:1 modes:16 minimize:2 motions:1 roughly:2 without:5 solve:2 coordinate:3 model:1 tional:1 bodies:1 brugmann:1 tobs:1 being:2 physically:3 renewed:1 seems:1 improvement:2 treatment:3 momentum:20 real:11 around:10 2u:1 reac:10 early:2 using:14 correcting:2 mod:1 vertically:1 sperhake:1 particle:6 either:2 stationary:1 reduced:1 specified:1 matching:30 nonzero:1 provided:1 conservative:2 critical:1 decomposition:1 expressing:1 refer:2 scientific:1 power:1 convincing:1 equivalent:2 notably:2 biases:2 ratios:1 found:4 qnm:12 refers:2 comparison:6 choi:1 discussed:3 generated:1 practical:2 inclusion:4 numerically:4 references:1 determine:1 log:4 assumed:3 strictly:1 there:4 start:5 labelling:1 complete:7 newtonian:5 jul:1 corso:1 convolving:1 applying:1 ωr:1 ωn:1 koppitz:2 agree:2 connect:1 detailed:3 taylor:3 af:1 certain:2 describe:3 general:13 formulation:1 ax:2 resonating:1 again:2 rezzolla:5 hybrid:2 field:6 valid:1 polar:1 separate:7 time:29 includes:6 deriving:1 important:3 building:2 rr:1 perturbatively:1 mass:32 firstorder:1 starting:4 represent:3 consider:8 lack:1 expressions:7 reasoning:2 asada:1 ihes:1 number:9 tn:2 tail:4 tm:19 amplitudes:2 straightforward:1 far:1 difference:10 condition:1 hamiltonian:6 t2:2 t0:1 damped:1 large:6 small:17 grateful:1 zero:3 displays:1 further:6 canonical:2 what:3 section:1 brief:1 version:1 sur:1 method:4 contrast:5 full:7 operating:1 directions:1 strong:3 equations:9 tortoise:2 losses:7 allows:4 amount:1 via:2 followed:1 marginal:1 detecting:1 eye:2 takes:3 contains:1 quasi:21 comparing:6 ψn:1 taken:2 achieving:1 minor:1 more:10 flat:1 kˆ:1 corrected:2 emission:2 keplerian:1 particular:6 known:4 keeping:1 berti:1 erratum:3 recall:5 equation:7 des:1 compare:5 minimum:1 numbers:2 sense:5 axis:3 huge:1 needs:2 goal:1 rather:12 simplicity:1 intended:1 fx:1 derived:3 orbits:4 sophistication:1 plane:3 waves:2 short:2 negligibly:1 quoted:1 exhibited:1 negligible:1 specifying:1 fundamental:8 banks:1 circularity:1 developed:2 soon:1 paper:6 through:1 excitations:1 its:13 roots:1 discretizing:1 solving:1 coarser:3 scribed:1 actually:3 late:2 absence:2 systems:3 might:3 good:11 propose:2 geodesic:3 framework:2 motivates:1 inception:1 easily:3 gets:2 fϕ:1 always:2 level:5 2a:2 radial:11 2m:26 neglects:2 energy:5 expect:3 measurement:1 quantum:1 http:1 beyond:2 event:1 really:1 since:3 denotes:2 urgent:2 issue:2 put:1 rises:1 generate:1 buonanno:8 definition:1 exponentially:3 dipartimento:1 integrand:1 grossman:1 reflected:1 done:5 least:2 fluxes:5 perturbation:1 introduction:2 leading:1 construct:3 assumption:1 dt2:2 smoothed:1 shifted:3 joguet:1 immediate:1 larly:1 part:10 authors:1 kind:1 determined:2 doubly:1 conjugate:1 confirms:1 orders:1 lie:1 tiomno:1 depending:1 self:1 extracted:3 internal:1 generalized:1 finding:1 added:1 resumming:1 quote:1 reach:1 most:13 significant:2 colliding:1 stands:1 equatorial:1 understands:1 binaries:3 sometimes:1 cover:1 traditional:1 clean:1 velocity:4 physics:10 phenomenon:1 minimizing:2 impressively:1 find:3 parameters:13 merger:10 moncrief:5 factor:19 circle:4 his:1 goes:1 notation:2 iωt:1 dependent:3 during:38 pretorius:4 arxiv:7 factorization:1 investigate:1 arr:5 set:1 art:1 achieved:1 sez:1 see:14 sec:4 close:6 11th:1 tative:1 gravitation:1 ibid:3 currently:3 f22:14 various:7 available:3 recently:3 missing:2 poorer:1 distinguish:1 observer:2 both:14 improved:17 barely:1 retarded:5 whole:6 experimental:3 point:7 simple:3 corresponds:5 coincidence:1 dimensional:1 simply:3 pr:17 pp:1 described:1 pt:1 due:7 strategy:1 describes:1 azimuthal:2 pn:29 lett:9 abruzzi:1 wheeler:10 dθ2:1 understand:2 2ik:1 developments:1 p2:2 replaces:1 conception:1 look:2 pacs:1 solid:4 reliable:2 expanded:4 while:10 replaced:1 behavior:7 error:1 evaluates:1 reads:3 itself:1 quency:1 italy:2 scientifiques:1 higher:2 development:2 used:7 kokkotas:1 moment:5 moving:4 hospitality:1 robust:1 recent:4 lower:1 analysis:3 obviously:1 multipolar:2 kelly:1 world:1 alternative:1 jaranowski:2 cut:1 conclusions:2 excites:2 signals:7 source:18 input:1 remaining:2 euler:1 couple:1 vϕ2:1 systematically:1 follows:1 signal:10 adiabatic:9 separately:1 flux:11 yields:3 essential:1 spins:1 methods:6 pϕ:6 absolutely:1 some:12 understood:1 towards:4 b2:1 mirror:1 oscillations:1 describing:2 affects:1 minimax:5 shall:12 integration:4 per:1 waveform:68 behave:1 tends:3 prog:1 proc:2 contrasting:2 jumps:1 agreement:6 step:2 br:1 pietri:1 constraint:4 entailed:1 completing:1 2iϕ:2 range:3 therein:1 into:8 within:5 integral:1 primarily:2 proportional:5 institut:1 long:1 opens:1 plunge:55 politecnico:1 delta:1 groundbased:1 line:19 info:1 infn:1 consist:1 thibault:1 up:7 us:11 multipolarity:1 qnms:12 similar:3 constant:3 defined:4 single:2 husa:1 sasaki:1 dashed:5 nice:1 elements:2 exp:2 excitation:7 problems:1 chirp:1 meaning:1 structure:1 ago:1 correlated:1 implies:1 holes:7 orbit:2 depth:1 having:3 once:1 gw:14 partial:1 gr:7 illustrates:1 results:17 contributions:2 issues:1 stable:1 include:2 ingredient:1 overlaps:4 presently:1 01m:1 wave:10 wishes:1 putting:1 ilias:1 continued:1 try:1 seminumerical:1 inspection:1 noted:1 smaller:4 sin2:1 concludes:1 dynamics:28 odd:2 giving:1 expressed:2 henceforth:1 body:9 focuses:1 led:2 degree:1 respectively:1 commercial:1 following:9 separation:1 implicit:1 involved:1 larger:11 herrmann:1 preferentially:1 resulting:3 makes:2 pollney:4 scaled:1 decrease:1 clockwise:1 tools:2 duca:1 use:14 exciting:4 asymptotic:1 remains:2 next:2 few:5 simpler:1 sort:1 lousto:5 ugmann:1 becomes:3 labelled:1 sharply:2 eccentricity:2 iii:9 account:4 integrating:1 reproduce:1 unknowns:1 crossed:6 decoupled:1 tap:1 process:4 high:4 torino:4 occur:1 located:2 varies:2 instead:6 circular:16 blocks:1 philosophy:4 factored:1 ψℓm:5 realized:1 θdϕ2:1 computations:1 light:25 lines:8 correspond:1 element:6 schnetter:3 inspiral:29 discussion:4 havior:1 move:1 meter:2 saturates:1 including:6 mentioned:2 la:3 chosen:1 masses:5 relativity:9 lr:1 derivative:1 practice:1 mention:1 optimal:2 february:1 mcwilliams:1 sufficiently:3 mode:10 crossing:11 reproducing:1 related:2 frequency:53 static:1 doubled:2 our:34 special:1 out:5 rev:27 time1:1 maximized:1 postpone:1 ref:16 red:8 achievements:1 limν:2 approaches:5 initialize:1 godfrey:2 geometry:1 determining:1 could:5 keep:3 length:2 davis:2 succeeds:1 reaches:5 intuitively:1 improvements:5 reached:2 precisely:3 quality:1 braces:3 thornburg:3 publication:3 ordering:4 system:12 ripples:1 their:8 attack:1 final:3 constituent:1 limiting:1 appealing:1 amplitude:10 distinguished:1 exhibit:3 esposito:2 nqc:28 kepler:9 need:1 clearly:1 studying:1 able:1 polarization:1 instance:2 gravita:1 meeting:2 accuracy:5 preliminary:1 why:3 parametrize:1 laurent:1 proceedings:2 mechanical:2 constrain:1 oscillates:2 fact:2 text:2 purely:2 trivial:1 subtracting:1 5pn:1 symmetric:1 based:15 knowledge:7 should:10 virgo:2 indeed:6 he:1 local:4 adiabaticity:2 means:11 mainly:1 regge:10 ones:6 futamase:1 words:2 compute:5 takahashi:5 evolution:5 stitching:1 dpr:1 coalescence:3 differential:1 grav:3 influenced:1 qc:14 aei:1 fixed:6 view:4 moduli:1 modulo:1 constructing:1 particu:1 acquired:3 variations:1 frame:1 differs:1 alessandro:1 overtones:1 phases:4 complementary:1 tend:1 state:1 invariant:1 comparable:9 reproduced:1 importance:1 emitted:2 reproduces:1 p2r:2 comparably:2 taking:3 equal:1 etc:2 vℓ:4 schroedinger:1 comment:1 strongly:1 relevant:2 co:1 cn:6 conclude:1 packaging:1 diverges:1 decreases:2 respect:2 addition:2 trajectory:1 define:2 corresponding:6 route:1 poten:1 last:3 present:6 multi:2 novel:3 value:11 choices:2 will:14 dephasing:5 ultra:1 ringing:2 refs:2 centrella:2 thus:3 vr:1 dual:1 sits:1 orbital:11 inspiralling:4 radiation:30 indistinguishable:1 unity:1 parts:1 units:1 finite:4 tapped:1 infinity:6 tagoshi:1 upon:1 effect:2 parametrized:2 v2:1 infinite:2 isco:1 expand:1 off:2 center:4 chartres:1 well:11 s25:1 comparisons:2 usual:8 damour:15 less:6 moments:1 accurate:18 obtain:1 sources:1 underlying:2 paul:1 vω:2 reasons:2 extends:1 vϕ:2 match:2 saturation:1 increased:2 know:4 nor:1 press:1 loss:5 necessary:1 like:3 become:4 accessible:1 parity:3 because:7 smoothly:2 imaginary:3 nagar:5 choosing:3 proper:1 home:1 neglecting:1 iyer:4 lead:3 breakthroughs:1 overlap:1 instantaneous:13 does:4 assuming:3 noise:1 expansion:2 offset:1 approximating:1 panel:13 about:5 actual:2 carried:1 extension:1 getting:1 introduces:2 introduced:4 software:1 equally:1 backscattering:1 tiny:2 van:2 additional:1 quasicircular:1 noticed:1 overestimate:2 crucially:2 notices:1 quanti:1 function:6 but:8 repeated:1 construction:5 convergence:2 highest:1 partially:1 made:5 coefficients:6 whether:2 wish:5 gravitational:12 smooth:1 p2ϕ:1 below:7 limit:12 computable:1 problem:7 slowing:1 detweiler:1 hautes:1 ing:2 functions:8 percent:1 detail:3 other:13 compares:1 details:4 theor:1 repeat:1 shown:9 stay:1 eob:53 baker:5 factors:1 inset:4 4m:1 circularized:1
|
0705.2520.txt |@word gr:1 kastor:1 global:1 rod:6 2c1:1 four:9 emparan:3 types:1 consider:6 compact:2 whose:1 inverse:5 depend:2 tt:1 technique:3 young:1 charge:6 chamblin:1 those:1 th:5 under:3 applied:2 g3:8 string:7 sitting:1 dsi:2 elvang:10 witten:2 hµν:2 bubbles:5 exact:3 condition:3 preuss:1 illustrated:1 school:1 solution:63 large:2 vector:2 small:1 noted:5 jhep:1 force:1 periodicity:2 sin2:2 direct:1 zero:6 theory:12 index:1 gibbons:1 plays:1 diag:3 takashi:1 near:1 annals:1 scientists:1 new:7 solitonic:12 boost:7 method:6 tomizawa:5 coefficient:1 sugimoto:1 ibid:1 respectively:4 component:6 here:7 its:1 aid:1 directions:1 along:1 equations:3 z2:1 obtained:8 azuma:1 property:1 shift:1 study:1 studied:1 spacetime:10 extra:2 explained:1 total:1 unit:1 d73:1 asymptotic:8 negative:1 next:4 linear:10 call:2 therefore:3 m3:2 type:3 flat:2 becomes:3 berlin:1 appendix:3 basically:1 particular:1 known:1 hole:13 iii:4 matsuno:2 rη:1 erratum:1 science:3 equation:1 work:1 det:2 theories:1 reproduce:1 ishihara:2 following:8 example:1 dxj:1 challenging:1 gtφ:13 give:4 hideo:1 sitzungsber:1 organized:1 gzz:4 numbers:1 dxi:1 rods:3 rescaling:1 axis:1 e2t:2 e2u:33 end:2 conical:2 discussion:2 six:1 write:2 superstrings:1 instead:1 parameter:1 sin:2 fourdimensional:1 product:2 may:2 derived:2 confirmed:1 choice:1 constants:3 physical:4 effective:4 yσ:5 correspond:1 parameterized:1 greek:1 order:6 gµν:1 cvetic:1 developed:2 over:2 years:1 paper:1 mentioned:1 japan:2 satisfies:3 hij:1 derive:1 thank:1 decay:1 ln:7 solving:1 coordinates:1 forms:1 gtt:13 fig:2 non:1 belinskii:2 combination:1 rλσ:13 ya:3 yc:2 acklund:3 introduce:3 they:1 singularity:3 nozawa:1 2u:3 february:1 finite:4 spacetimes:1 e2γ:3 always:1 university:3 2z:1 inequality:1 each:1 found:5 england:1 ed:1 osaka:2 sov:2 extended:1 static:15 grav:2 encouragement:1 eu:1 laboratory:1 eq:1 event:4 es:4 shown:2 matrix:1 space:1 obers:1 furthermore:1 since:5 rev:16 denotes:1 rd:8 attracted:1 investigation:1 ra:3 rel:1 rc:2 induced:4 ref:2 math:1 sumiyoshi:1 singularities:1 contain:1 diagonal:1 orbits:1 reason:1 generate:5 definition:1 ministry:1 geometry:2 ds2:7 phy:1 keep:1 length:1 ism:1 signature:1 hence:1 first:3 origin:1 mishima:6 another:3 neighborhood:1 angular:4 size:1 squashed:1 city:1 given:12 cartesian:1 introduction:1 leading:1 behaves:1 αg2:1 construct:2 too:1 verdaguer:1 dt2:2 structures:2 kov:1 schwarzschild:1 γcd:1 exactly:1 japanese:1 x2:1 wiltshire:1 translation:1 than:1 distance:1 horizons:6 bubble:29 richer:1 limiting:1 future:1 were:1 college:1 rewrite:1 iguchi:6 dθ2:1 curves:2 seed:11 sen:1 flatness:1 any:1 solitons:1 ray:1 reall:2 lim:1 gravity:2 chiba:1 potential:2 horowitz:8 take:1 timelike:5 coincide:1 canonical:1 circles:6 formulas:1 begin:1 continuous:1 electric:6 though:1 metrics:1 significant:1 pair:2 g22:3 why:2 gρρ:2 herlt:1 kk:14 later:1 coincides:4 velocity:4 physics:2 section:3 particularly:1 show:1 supported:1 rotating:1 relation:2 solutions:8 b195:1 q4:2 parameters:7 state:1 topological:1 should:8 only:3 black:46 subsection:3 stephani:1 circle:3 kaluza:19 kramer:1 achieve:1 equilibrium:1 klein:19 means:1 familiar:1 rept:1 strut:1 cannot:2 dz:6 maccallum:1 dt:4 belinski:2 dr:1 gen:1 runs:1 indeces:1 arxiv:5 remove:1 summary:2 investigate:3 morisawa:1 minkowski:3 satisfy:1 set:1 computed:2 exists:1 achieved:1 pomeransky:2 harmark:3 culture:1 see:2 decided:1 sec:3 existence:2 2g2:1 techniques:3 satisfying:1 axially:1 gφφ:12 supergravity:1 label:1 symmetric:1 written:5 closed:3 between:4 invariant:1 overduin:1 hjj:1 conditions:1 ken:1 latin:1 recently:1 attention:1 killing:3 manko:1 analyzed:2 2σe:1 jetp:2 topology:3 concentrated:1 both:1 cos:2 limits:2 region:1 equal:1 chosen:1 admit:2 dated:1 context:1 ernst:2 expression:1 con:1 fields:1 simple:2 asymptotically:3 corresponds:3 2nd:1 dimensional:25 maintained:1 simply:1 sequences:1 constant:2 addition:1 three:3 been:2 much:2 dρ2:6 define:2 direction:9 ωg2:1 quantities:1 sufficient:1 shinya:1 locations:1 observe:1 c2:6 c1:7 general:1 gab:2 present:1 case:6 kimura:1 pacs:1 akad:1 will:3 while:1 replaced:1 nakao:1 situation:1 balance:2 conformal:1 taking:1 neugebauer:1 cylinder:1 vectors:1 spacelike:4 vanishes:2 metric:29 surface:1 iv:2 ii:3 examined:1 vanish:1 technology:1 compactified:3 different:1 grant:1 perform:1 determinant:1 cross:2 same:4 dition:1 quant:1 several:1 higher:1 kaluzaklein:2 used:1 infinity:4 boosted:18 hoenselaers:1 hand:1 v1:1 v2:1 infinite:1 g2:17 studies:1 well:1 without:2 components:5 coordinate:7 dimension:1 charged:1 enormously:1 harrison:1 obtain:4 dφ2:3 unifies:1 g0:2 scattering:5 rotation:1 previous:2 note:2 field:2 zakharov:3 axisymmetric:1 seems:1 ocu:1 maison:1 transformed:2 attractive:1 c12:1 adm:12 transformation:13 momentum:19 aspects:1 around:2 easily:1 term:1 period:1 five:13 vacuum:6 press:2 using:7 defied:1 traschen:1 semi:1 follows:3 velocities:2 detg:2 arbitrary:2 become:2 stationary:4 topologically:4 a15:1 because:2 methods:5 sequence:2 supplementary:3 proper:1 wesson:1 slice:1 dimensions:1 electromagnetic:1 avoid:3 integration:1 per:1 nihon:1 does:2 prog:3 funabashi:1 radial:2 sports:1 bw:1 ratios:1 article:6 exciting:1 properties:5 takes:3 a1:2 extension:2 discussed:1 a3:3 o:1 horizon:4 yasui:1 youm:1 cambridge:3 maxwell:1 integral:1 einstein:4 proportional:3 θdψ:1 hep:5 area:2 topologies:1 there:3 nucl:1 class:2 start:1 describes:5 was:4 gij:6 m0:2 function:6 form:9 construction:2 m02:28 m01:25 partially:1 ωy:1 compute:2 ichi:1 compactification:1 gravitational:1 madm:3 us:6 assume:1 wiss:1 limit:5 ud:3 called:1 ωg:1 ab:5 associated:1 introducing:1 defined:4 abstract:1 describe:1 generating:6 denote:2 ap:1 single:7 exist:1 our:1 education:1 commuting:1 constructed:1 functions:7 thermodynamical:1 no:1 when:1 detail:1 graduate:1 acknowledgments:1 other:4 role:1 holding:1 spatial:4 department:1 mathematics:1 theor:3 gψψ:6 shrink:6 figueras:1 deviation:1 a14:1 briefly:2 a16:1 a11:1 a10:1 a13:1 a12:1 resembles:1 bundle:1 includes:1 lens:1 generated:9 a2:6 a5:2 a4:1 a7:1 a6:1 a9:1 a8:1 structure:11 l19:1 auxiliary:1 dψ:5 dφ:3 rs:1 holes:25 investigated:1 mass:12 time:2 lett:3
|
0705.2521.txt |@word partial:3 consider:1 rev:18 leads:1 entropy:2 lewenstein:2 research:1 issues:1 virmani:1 increase:1 certainly:1 equivalence:1 tr:3 rg:8 spain:3 under:1 include:2 worth:2 norm:1 ın:1 advantage:1 ρta:2 very:2 2re:3 geometrical:3 putting:1 experimentally:1 exact:1 fan:1 condition:2 school:1 large:3 solved:1 generalize:1 c02:1 upper:6 mn:1 quantifiers:12 dealing:1 mediterranean:2 measurable:1 approximation:2 acin:1 imply:1 noise:1 perspective:1 further:1 estimated:1 even:2 witnessed:7 section:1 expressed:1 witnesses:4 steiner:1 suppose:1 led:1 here:2 plenio:1 leeds:3 address:3 strong:1 involved:2 study:3 allows:1 stressed:1 usually:1 hospitality:2 composed:1 useful:1 family:5 spanish:1 establish:1 use:3 superpositions:5 working:1 prove:2 distinct:1 positive:3 negative:2 scope:1 theoretical:1 more:1 linden:2 becomes:1 operators:2 known:1 iv:1 iii:1 negativity:3 must:2 entangle:1 gerais:1 mg:1 markham:1 work:6 mi:1 following:2 challenging:1 bennett:1 states:17 indicates:1 numbers:1 horizonte:1 information:2 goal:2 verified:1 write:1 how:3 nontrivial:1 criterion:1 pure:3 answer:1 optimal:7 goldbart:1 mat:1 includes:1 singular:1 may:1 max:12 derived:1 hong:1 applications:1 representations:1 choice:4 natural:1 caixa:1 ghz:1 so:3 definitions:2 acknowledges:1 order:1 operations:2 saturated:3 constituents:1 concurrence:1 produced:1 instituci:1 saturates:1 through:1 thesis:1 satisfies:2 still:1 its:2 derive:1 thank:1 ufmg:2 chosen:2 interesting:2 writing:1 choose:1 main:4 overcome:1 maximal:1 non:1 good:1 audenaert:2 ls2:1 instead:1 now:4 yu:1 harrow:1 represents:1 term:2 several:1 university:3 payed:1 inequality:11 each:2 found:1 mean:2 directly:2 needless:1 hard:1 related:2 extended:2 measure:1 quantum:4 relates:1 ew:20 eq:3 witness:13 out:1 shown:2 funding:1 space:1 quantify:2 since:2 interference:2 denotes:3 particles:1 re:1 daniel:1 millennium:1 ref:1 barrier:1 monotone:1 departamento:1 admits:1 atica:1 completely:1 besides:1 eigenvalues:1 put:1 definition:3 pairs:1 could:1 turn:1 terhal:1 hence:2 monotones:1 xiang:1 onto:1 first:1 separable:6 features:1 manuscript:1 number:6 simplified:1 another:1 robust:1 precisely:1 electronic:3 given:5 their:1 introduction:1 unknown:1 eu:1 system:1 needed:1 assumption:1 wootters:1 gives:3 park:2 murao:1 part:1 authors:2 than:1 coefficients:4 remember:1 kind:3 richer:1 kraus:1 project:2 future:1 treated:1 exhibit:1 matem:1 say:1 apparently:1 linked:1 multipartite:12 constructions:1 genuine:1 depending:1 ideas:1 note:2 instance:1 take:1 coincide:1 brand:4 measures:2 most:1 eisert:3 detect:1 analytically:1 class:4 icfo:5 constructed:2 considered:2 clear:1 bipartite:2 physics:1 notion:1 fact:4 quantity:1 particularly:1 show:3 supported:1 relation:1 find:4 based:1 ment:1 state:20 operational:4 avan:1 only:3 rich:1 bernstein:1 local:2 do:1 get:1 de:6 ones:2 new:1 quantifier:6 transposition:3 arxiv:6 remove:1 castelldefels:2 view:1 requirement:1 set:10 correlations:1 ghzn:15 namely:1 result:1 best:2 brazil:1 neuman:1 satisfying:4 inequalities:2 federal:1 pattern:1 functionals:1 qubits:1 written:3 simplest:1 available:1 terms:3 extend:1 originated:1 attention:1 however:2 faced:1 both:5 regardless:1 taking:1 catalana:1 according:1 against:1 present:1 context:1 potsdam:1 qubit:4 expression:2 experimental:1 kets:1 among:1 belo:1 characterization:1 simple:1 werner:1 respect:1 bertlmann:1 basis:1 copies:1 been:1 much:1 9jt:1 cunha:3 expected:1 ph:6 systems:1 icrea:1 restrictions:1 quantities:3 concerning:1 subspace:1 hayashi:1 ao:4 xiong:1 those:1 case:6 narnhofer:1 pacs:1 value:8 will:2 while:1 superposed:4 yi:1 von:1 equal:1 ii:1 contract:1 technology:2 different:4 develop:1 qap:1 open:1 estudis:1 make:1 belong:1 clearly:2 quant:5 finite:1 used:4 see:3 ni:1 schumacher:1 ness:1 hand:1 average:1 entanglement:59 changing:1 normalization:1 recent:1 lower:4 scenario:5 nevertheless:1 restricted:2 min:4 antonio:1 wopt:17 dimension:1 usual:1 popescu:3 being:1 obtain:1 thanks:1 questions:1 facts:1 tightness:2 previous:1 sπ:1 density:1 wei:1 point:3 cavalcanti:5 setting:1 lett:10 easy:1 generalized:4 opt:1 aspects:1 nielsen:1 depends:1 possibly:1 vidal:3 entangled:2 sanpera:1 using:2 postal:1 projects:1 mod:1 consolider:1 appearing:1 like:1 specific:2 communications:1 schwarz:1 arbitrary:5 reduced:1 because:1 often:1 classical:2 some:2 catalunya:1 understood:1 examples:4 moreover:2 comments:1 asking:1 knew:1 meanings:1 minimization:3 br:1 eiφ:2 relating:3 refers:1 lluis:1 projector:1 conclusions:1 would:1 getting:1 dependence:1 o:4 done:1 mixed:1 ou:1 2k:1 raised:2 presence:1 communication:1 bound:10 chooses:1 hermitian:2 operator:4 acknowledgements:1 institut:2 question:2 cats:1 physicists:1 way:2 brazilian:1 was:8 naturally:1 ciencies:2 form:3 smolin:2 tarrach:1 but:1 construction:1 cnpq:1 made:1 compute:2 horodecki:8 recerca:1 inside:1 robustness:5 bounds:2 us:4 uk:1 problem:3 called:3 bell:1 ac:1 cirac:1 certain:1 proven:4 general:2 peres:2 minas:1 together:1 our:4 inf:1 universidade:1 defines:1 again:1 fapemig:1 extract:1 when:1 tight:2 other:5 es:2 conclude:2 generalitat:1 kinds:3 superposition:7 calculating:1 thirring:1 terra:3 meaning:2 important:2 song:1 astronomy:1 tailored:1 implies:1 cauchy:1 barcelona:3 resembles:1 appl:1
|
0705.2522.txt |@word proposition:8 concept:3 homomorphism:2 consider:3 chain:1 pairing:2 results:6 four:2 eds:1 scalar:4 commute:1 mp0:1 r1a:3 bergmann:7 sci:1 whose:1 c0:1 auf:1 tn:1 school:1 tm:3 tj:2 elliptic:1 under:8 ebres:1 td:9 include:1 nonassociative:18 spec:44 norm:44 adapt:1 applied:2 conjecture:1 g2:3 straightforward:1 orthogonal:4 3ac:2 2rd:1 springer:3 corollary:3 every:9 condition:2 annihilated:2 implying:2 adjoints:2 notes:1 t2:7 t3:2 t0:3 t1:8 large:1 involution:2 vector:1 linearizing:1 proj:1 lˇ:6 des:1 neighborhood:1 direct:31 krull:1 zero:47 zx:1 susanne:1 reine:3 specr:1 canonical:4 bilinear:8 what:1 lemmas:1 invertible:2 section:12 analogously:2 nondegeneracy:2 sur:1 above:4 sup:3 replaced:1 3a:2 sl1:2 racine:1 publications:1 satisfy:4 full:8 notions:2 degree:56 respectively:3 even:4 here:1 ranges:1 groups:1 situation:1 slater:2 equations:1 change:5 remark:9 trans:1 picx:2 division:5 study:2 studied:4 picr:1 p2:3 lokal:1 permit:5 hospitality:1 ˇl:1 brauer:1 uniquely:10 petersson:5 via:2 useful:1 classification:2 vii:5 highly:2 texts:1 summation:1 unit:6 would:1 sake:1 positive:3 contains:4 next:2 yx2:1 m1:20 therefore:7 m3:3 m2:19 doubling:4 type:1 decomposable:4 more:8 alg:3 th:1 ecole:1 becomes:1 ap0:2 ti:5 berlin:3 carrying:2 particular:10 known:1 projective:16 cases:5 hold:2 iii:11 analogous:2 must:17 cay:9 isomorphism:5 ma:1 quartic:22 permits:11 equation:2 work:1 mi:10 remain:1 mp:4 concepts:1 following:9 ta:1 example:9 address:1 proof:23 antwerpen:1 stated:3 process:3 permutations:1 fundamenta:1 degenerate:7 sense:2 verlag:3 united:1 end:1 g1:3 s3:16 s2:3 s1:5 hom:2 carries:2 s4:2 write:1 how:1 instead:3 fp:3 map:8 product:1 proc:1 algebra:180 may:1 max:1 after:1 derived:1 mapping:1 deviates:1 multiplication:3 summarize:1 rmodule:1 forschungsgemeinschaft:1 varieties:2 third:2 generalizations:1 yσ:2 deutsche:1 element:10 their:3 cannot:4 so:12 sm:5 sl:5 omes:1 sb:9 sa:6 morphism:1 satz:4 sd:3 restriction:3 holds:5 baumgartner:4 developed:2 over:208 paper:1 thesis:1 y1:2 satisfies:6 its:18 before:1 knus:2 thank:1 forme:1 acknowledge:1 sheaf:3 affine:1 forms:58 pac:1 radical:11 ours:2 schmidt:1 might:1 arguments:1 maximal:4 non:34 greater:6 yd:2 investigated:1 yx:6 xd:30 dickson:3 half:4 now:9 nor:1 easily:1 term:3 indeed:3 always:2 university:4 classified:4 possibilities:1 theory:2 x21:1 2b:1 each:14 found:1 higher:20 side:1 associative:48 subset:9 domain:9 square:2 quaternionic:1 eb:2 oystaeyen:1 comprises:1 extended:1 our:4 happen:1 pu1:2 pu2:2 shown:2 matrix:1 unital:18 restricted:1 since:21 nonrational:2 contradiction:1 ra:2 rational:5 reader:1 denoted:4 lecture:1 get:3 induced:3 induction:1 math:12 shows:2 linear:30 associate:2 free:12 standard:1 admits:4 completely:1 base:12 york:5 put:2 azumaya:20 subalgebras:1 phd:1 e0:4 definition:2 mat2:3 geometry:3 phrases:1 modules:11 times:2 turn:1 hence:15 onto:2 first:10 separable:29 degr:1 xi:4 symmetry:1 omitted:2 variables:1 primary:1 rank:87 xz:1 xx:2 xy:13 least:3 another:1 carry:2 ring:26 precisely:1 open:10 moduln:1 given:6 1t:3 multiplicativity:1 introduction:2 adjoint:2 xil:2 construct:2 1a:10 needed:3 1c:1 assumption:2 listed:2 convention:1 scheme:5 exactly:1 albert:4 part:1 jordan:4 x2:64 x3:33 x1:84 than:11 x4:7 finitely:17 kind:4 determines:2 was:9 require:2 second:1 xi1:2 determined:11 stalk:1 were:6 ber:2 powers:1 decompose:1 rad:21 anc:1 hagen:1 ann:2 argument:5 generalization:1 say:1 need:1 any:7 legrand:6 ringed:8 ax2:1 lie:1 ax1:1 kunze:1 verbatim:2 odd:2 latter:1 able:1 note:2 instance:4 ideal:11 generalized:7 new:5 coincide:2 residue:8 θx1:4 pnr:1 unless:5 trace:12 munies:1 park:1 algebraic:6 said:1 pair:1 acknowledgements:1 class:8 exponent:2 laurent:2 observation:1 considered:2 clear:1 later:2 stronger:1 order:5 proceedings:1 µt:10 usual:1 notion:2 fact:2 dover:1 saying:1 nottingham:3 show:1 purely:1 spaces:11 trivial:1 d0:2 d1:2 anneau:1 roby:2 commutators:1 assertion:4 lemma:23 only:7 explicitly:2 factor:1 local:1 preliminaries:1 ser:1 notation:1 di:2 charakteristik:1 dd:1 de:1 hartshorne:2 ones:5 words:1 ged:1 during:1 symmetrically:1 dr:2 him:1 secondary:1 fields:6 lois:2 arxiv:1 remove:1 investigate:4 ng7:1 3e:1 contain:1 grad:1 view:1 set:3 modulo:1 octonion:19 exists:23 module:31 see:10 w3:1 result:4 nuc:2 subject:1 satisfying:3 give:1 nondegenerate:63 nuclear:1 rings:15 symmetric:13 written:11 classes:3 closed:1 between:2 invariant:6 neither:1 kn2:2 conditions:1 x22:2 counterexample:1 wa:2 endx:5 however:2 comm:2 key:1 distinguish:3 amer:2 ker:2 formelles:1 both:11 cayley:3 admit:2 semiprime:3 context:2 department:1 genus:8 schafer:9 otherwise:3 among:1 point:3 simple:11 overview:1 others:1 cf:3 dimensional:7 polynomial:2 constant:22 cp:1 torsion:1 pr:3 corollaire:1 described:2 commutative:34 locally:17 copies:2 sl2:3 ai:10 faithfully:1 basic:1 algebras:39 define:8 surjective:2 formen:1 θi:6 corresponding:4 restrictions:1 curves:5 mail:1 denote:2 those:3 case:10 p0:32 p1:2 look:1 means:2 nski:1 will:1 suppose:30 viii:1 indecomposable:55 kingdom:1 larger:1 vd:5 aw:2 vol:1 vi:3 thus:21 them:1 iv:6 ii:25 itself:1 il:2 dual:2 ia:1 id:1 polynˆ:1 different:3 inc:2 contents:1 author:1 generic:1 same:14 angew:3 parts:1 split:13 proved:4 finite:11 subalgebra:4 composition:146 kn1:7 independent:7 used:4 imply:1 nil:1 cubic:63 i1:2 hand:1 v1:5 infinite:4 artinian:1 equipped:2 suitable:2 center:7 idempotent:3 well:2 obviously:1 norms:2 academic:1 without:6 dimension:4 left:3 they:1 just:1 being:4 nd:4 resp:7 obtain:5 rest:3 underlying:1 immediately:2 facts:1 alternative:21 graduate:1 eorie:1 previous:1 adv:1 preprint:1 field:34 nilpotent:1 algebren:1 xr:4 bp0:2 homogenous:1 setting:5 versa:1 theorem:20 heidelberg:3 identical:1 depends:2 involutions:1 showing:1 possible:1 admitting:1 corresponds:1 cp0:2 descending:1 know:3 press:1 integer:5 unique:4 decomposes:1 wˇ:6 like:1 follows:12 separately:1 yields:2 either:12 arbitrary:11 multiplicative:6 reduced:4 terminology:1 right:6 homx:1 often:1 classical:3 formulas:1 absolutely:47 some:28 homr:4 ideals:25 permitting:81 examples:7 moreover:2 proofs:2 nonzero:1 grading:1 does:3 decomposition:2 linearly:7 summand:1 assuming:1 three:6 closely:1 minimal:4 vom:1 conference:1 power:1 equivalent:4 quaternion:15 bundle:1 refers:3 properties:1 injective:3 x32:1 integers:1 une:1 central:9 extension:23 most:1 ach:8 a3:9 trento:2 range:1 ox:105 ou:1 introduced:1 other:1 automatically:1 op:5 aumen:1 soc:2 statements:1 into:2 integral:2 isomorphic:18 due:1 accommodate:1 hermitian:1 en:1 references:1 unambiguous:1 van:1 her:1 vˇ:4 support:9 there:29 u1:4 socle:1 u3:2 u2:4 quadratic:43 call:2 sections:9 xy1:1 associators:1 form:118 relaxed:1 but:4 repeated:1 construction:7 etale:22 pacific:1 line:1 true:2 divisors:6 he:1 again:6 supp:2 characteristic:14 uv:1 up:2 us:1 assume:5 un:3 uk:1 sum:32 ud:4 similar:1 called:25 multiplications:3 mechanics:1 ac:1 associated:9 ad:2 defined:41 certain:2 abstract:1 pic:2 general:4 globally:3 ap:3 ar:5 exist:3 dθ:2 ax:2 identities:1 constructed:1 ni:14 nj:4 nl:14 faithful:7 no:2 na:6 nc:17 cˇ:2 ng:13 application:1 book:1 tits:7 np:3 mathematics:5 nr:2 n0:19 briefly:1 elements:10 expressible:2 sided:2 polynomials:3 stay:3 a1:25 a0:6 generated:16 a2:29 nucleus:1 additionally:1 structure:4 implies:6 using:2 vice:1 ranks:2 rankr:4 space:11 curve:5 together:8 reprinted:1 homox:1 n1:21 n2:22 n3:8 starting:6 having:1 initiating:1
|
0705.2524.txt |@word extrapolated:1 consider:1 similarity:1 magnetic:2 results:2 kernphysik:1 four:4 gc:2 winds:1 follow:4 l13:1 revealed:5 optical:1 compact:1 particles:5 inverse:3 zone:4 interactions:3 presents:1 finally:1 contours:6 indications:1 include:2 spec:1 mpg:1 g0:3 very:4 keeping:1 mpi:1 electron:4 yellow:1 logarithmically:1 leads:1 clouds:2 presented:1 proc:2 shock:6 large:3 insights:1 form:2 small:1 overlaid:3 round:1 favoured:1 upper:2 ten:1 29th:1 vela:5 sign:1 microquasar:2 j1614:2 rate:2 j1616:2 corner:2 qualitatively:1 tev:17 spectral:11 index:12 errors:1 appear:1 selected:1 uniform:1 experiment:2 above:4 new:3 ever:1 consisting:1 shocks:2 full:2 led:2 error:2 6in:13 residual:1 here:5 delivering:1 hours:8 reported:1 objects:3 l25:1 separation:1 excess:11 active:1 along:2 strong:1 j1804:2 box:1 search:3 photomultiplier:1 study:2 dominantly:1 allows:1 suggests:2 survey:14 published:2 proof:1 makes:1 plotted:2 diameter:2 via:2 spatially:3 campaign:1 scales:1 marginal:1 readout:1 explained:2 marked:2 scaled:1 visible:1 remnant:3 morphology:1 counts:4 total:3 planck:1 unit:1 sky:1 stereoscopic:2 facets:1 remains:1 predictions:1 almost:1 live:2 camera:1 kinematics:1 crab:2 m2:1 taken:1 black:8 hinton:1 e2:2 type:3 possible:2 more:6 conclusions:1 apparent:1 corrected:1 emission:22 3eg:7 commenced:1 everywhere:1 labelled:1 known:1 hole:2 presumed:1 bremsstrahlung:1 account:1 rotational:1 science:2 protons:1 longitude:5 reproduce:1 erg:2 values:1 publications:2 resembles:1 dec:5 example:1 deg:11 compare:1 challenging:1 figure:13 scan:1 december:1 sense:1 high:3 pushed:1 performed:1 coincident:2 allowed:1 dominant:1 axis:1 egret:8 rays:27 rather:1 steepening:1 positional:1 far:2 varies:1 sr:1 pure:3 significance:5 answer:1 modulations:1 profile:2 map:3 galactic:25 may:1 max:1 after:3 confirmed:1 crashed:1 plane:4 snr:11 fits:1 law:13 data:31 response:1 types:1 b0833:2 whenever:1 light:2 spectra:5 lines:3 yielding:1 accelerated:2 so:2 allow:1 correlation:3 g16:1 cherenkov:5 bins:2 typical:1 remnants:2 words:1 noteworthy:1 indeed:2 pointed:2 despite:1 soon:2 years:3 produced:3 thermal:1 experiments:1 including:2 j1834:2 j1837:2 existence:1 its:3 galaxy:4 regions:1 fit:7 decay:3 energies:5 solving:1 aschenbach:2 vicinity:1 actually:1 better:1 detected:2 fig:16 latitude:3 covered:1 might:1 into:3 correspondence:1 eventually:1 them:2 good:4 gray:3 primary:3 band:2 subtraction:1 they:2 hands:1 now:3 discuss:2 association:2 february:13 puzzle:1 level:3 identified:1 l7:2 namibia:1 mode:3 each:4 cocoon:2 difficult:1 traces:1 side:4 mean:1 differential:1 significantly:1 accelerator:1 hadronic:2 energy:27 hard:2 gaussian:2 breakthrough:1 society:2 used:1 astroparticle:2 year:1 wavelength:1 operation:3 ev:3 event:1 neighbourhood:1 out:1 try:1 shown:25 cameras:1 rx:15 pwne:2 re:2 nominal:1 ra:4 superimposed:1 suggesting:2 electronics:1 issue:1 integrated:3 red:3 shows:6 achievements:1 theory:1 found:3 given:1 standard:1 campaigns:1 reason:1 formation:1 imaging:1 estimate:1 companion:1 telescopes:4 publication:2 pune:1 determining:1 could:2 shells:1 cosmic:11 length:1 produce:1 onto:1 south:3 first:9 origin:4 major:2 features:1 striking:1 wave:2 number:2 reaches:2 lat:1 long:2 another:3 pulsar:8 thick:1 open:1 angular:3 size:15 surveys:2 nebulae:2 introduction:1 unknown:5 system:6 least:1 indicate:1 cangaroo:4 observations:14 white:3 molecular:5 smoothed:5 exposures:1 shell:5 mostly:1 asymmetric:2 plausibly:1 astrophysics:7 part:2 asca:5 than:4 population:2 steel:1 wide:2 target:3 surrounding:2 enabled:2 likely:1 shower:1 matter:2 classes:2 were:3 gives:1 result:2 synchrotron:4 l43:1 mind:1 spectrum:13 interpretation:1 correspond:1 say:1 showers:2 seen:5 regards:1 clearly:1 ray:54 acceleration:5 nights:1 angle:1 built:1 uncorrelated:1 responsible:1 mechanism:1 contour:1 note:4 absorbed:1 j1745:7 resembling:1 annihilations:1 diffusive:1 blue:2 towards:1 beyond:4 trace:1 centre:9 any:1 collaboration:17 object:5 most:3 germany:1 significant:3 j1640:2 measured:9 deviations:1 observation:3 koyama:1 average:1 sometimes:1 coincides:1 proceedings:13 points:4 electrons:3 wind:2 azimuth:1 velocity:1 charged:1 physics:3 notion:1 fact:1 fukui:1 atmosphere:1 nebula:2 show:2 discovered:2 pfeffermann:1 bright:1 radio:2 impressively:1 threshold:1 earth:1 aharonian:12 subtracting:1 xmm:1 northern:2 brighter:1 only:5 candidates:4 factor:1 b1822:1 local:2 astronomical:3 rectangle:1 dn:7 diffusion:1 over:1 triangle:2 gev:4 means:2 de:7 yielded:1 orbiting:1 j1826:8 j1824:1 j1825:6 pipeline:1 during:1 secondary:1 prime:1 reveal:1 processes:3 continuum:1 indicated:2 fields:1 arxiv:1 comprising:1 summary:1 twice:1 through:2 vincent:1 view:5 reveals:1 bars:2 set:3 statistical:1 achieved:2 sensitivity:4 respect:1 grey:1 detection:4 see:1 individual:1 dissipate:1 japan:2 operated:1 close:3 institutes:1 j1747:2 j1746:1 best:5 j1744:2 preparation:2 fails:1 review:2 currently:1 determined:3 identification:2 between:4 tens:1 probably:2 µg:2 approach:1 cosmicray:2 variability:1 ability:1 nature:7 initially:1 component:1 supernova:3 emitted:1 concentrate:1 key:1 kev:2 remaining:1 behaviour:1 hits:1 cor:1 reverse:2 outflows:2 many:2 taking:2 compton:3 called:2 propagation:1 highland:1 whole:6 albeit:1 among:2 presumably:1 cm:7 point:10 overview:1 proton:2 coincidence:1 j1632:2 simply:1 framework:1 cs:7 moonless:1 panel:4 second:1 described:5 deep:1 acceptance:1 three:3 been:4 much:1 combined:1 expected:3 ph:1 ls:7 obtained:3 direction:4 corresponding:1 both:1 photon:9 unidentified:2 confinement:1 understand:1 curves:3 diffuse:3 funk:1 case:1 multi:2 traced:1 atmospheric:1 look:2 exponential:2 solid:1 decades:1 mount:1 harder:1 air:3 will:6 while:1 promising:1 region:26 j0852:3 versus:3 detailed:5 zenith:1 j1708:2 analyses:2 non:1 surface:1 encountered:1 ii:3 itself:2 ambient:2 ic:2 around:2 sequentially:1 binary:1 different:3 l57:1 perform:1 make:1 radiation:4 same:2 orbital:1 complex:1 northwest:1 largest:1 resulting:2 several:1 events:2 european:1 clear:3 extended:8 hand:3 focal:1 dark:1 lower:2 ellipsoidal:1 off:1 scenario:3 largely:1 colour:2 well:10 roughly:3 analysis:2 without:1 simulated:1 position:4 model:9 binaries:3 dimension:1 1cm:1 left:11 less:1 being:1 proximity:1 expanding:1 obtain:1 effects:1 sources:19 shape:4 hess:45 blow:1 density:4 measure:1 had:1 except:1 source:20 spread:1 extends:3 east:1 heidelberg:1 match:1 resolved:3 sgr:4 increased:2 depends:1 showing:1 psf:3 term:1 unequivocally:1 boxes:2 five:1 atca:1 psr:7 using:3 moreover:3 prominent:1 like:4 particle:3 exploiting:1 signal:6 shapes:1 flux:10 night:1 summarise:1 function:1 exceed:2 right:11 old:1 truncated:1 some:1 imaged:1 understood:1 deduce:1 examples:1 28th:1 mirror:1 images:1 j1813:2 pronounced:1 scale:1 tsukuba:1 tracked:1 lead:2 bottom:2 broadband:2 demonstrates:2 measurements:3 recorded:2 per:3 moon:1 enomoto:1 behave:1 provides:1 assuming:2 chandra:1 closely:1 demonstrated:1 vistas:1 run:1 power:13 icrc:2 rosat:4 agreement:2 step:2 great:1 although:1 offset:2 drawn:1 post:1 exciting:3 subtract:1 supermassive:1 proceed:1 about:1 central:1 extension:1 extending:1 universe:1 discussed:4 dependence:1 o:1 range:1 underway:1 gamma:54 cutoff:2 letters:1 suppression:1 follows:2 previously:2 image:11 within:1 integral:1 interstellar:1 accumulates:1 due:3 down:2 nucleonic:1 references:1 unprecedented:1 relativistic:2 statistics:1 institut:1 area:1 assumed:1 altitude:2 there:2 question:1 snrs:5 fast:1 inner:2 forward:1 was:6 hz:2 medium:2 north:1 complete:1 triggered:1 gammaray:2 independently:1 but:1 astro:1 trum:1 solar:2 hm:1 pwn:5 l61:1 line:10 highest:1 junior:1 hd:1 subtracted:1 count:1 made:2 arranged:1 whether:1 pulsars:1 up:7 us:2 ur:1 below:1 astrophysical:2 vhe:13 distribution:6 similar:1 emit:1 trim:13 tessellated:1 associated:4 cover:1 measurement:10 asymmetrically:1 covers:1 denote:1 dashed:2 single:1 proves:1 exist:1 our:2 journal:2 distributions:1 physical:1 again:1 compared:2 ideally:1 dotted:2 no:2 trials:1 when:1 field:8 shaded:1 other:2 coded:1 details:1 normal:1 spatial:1 really:1 picture:1 star:1 energetic:1 gas:3 sided:1 j1713:14 variation:2 precision:2 meaning:1 slice:3 peak:1 suited:2 astronomy:11 slane:1 structure:4 exposure:1 berge:15 correlated:1 implies:1 9in:13 curve:1 together:4 gal:2 mass:2 time:4 international:1 nuclei:1 resolution:5 once:1
|
0705.2525.txt |@word dewitt:2 partial:1 consider:8 magnetic:9 eternally:7 splitting:1 existing:1 scalar:5 edu:1 go:1 contributions:2 hole:1 causes:1 gr:1 increase:1 depend:1 charge:2 contours:1 th:1 under:5 activities:1 federation:1 very:1 continues:1 dokl:2 choice:1 electron:6 experimentally:5 difference:3 exact:1 satz:1 exponential:6 level:2 positions:1 itep:2 t1:1 large:2 discrete:1 vector:1 small:3 relation:1 originally:4 upper:1 force:2 sin2:1 morozov:1 sign:2 jump:1 zero:3 enclosed:1 further:1 spontaneously:1 click:3 linear:16 even:6 what:2 appear:2 giving:1 uniform:3 poles:12 above:2 new:1 increasing:1 ever:1 lifshits:1 condensed:2 intas:1 eksp:2 never:2 here:1 sinh:1 address:1 directions:1 along:6 strong:1 appears:4 change:2 box:1 study:1 allows:1 completely:2 resulting:2 usually:1 fourier:2 via:3 achievable:1 clockwise:1 linearly:2 derivatives:2 quasi:1 would:6 covariant:1 positive:1 negative:1 classically:1 nucl:2 sitter:1 therefore:1 m2:2 taken:1 e2:2 planckian:3 overlooked:1 more:2 zh:2 gyromagnetic:1 initial:1 emission:1 everywhere:1 particular:2 known:3 cases:5 detects:1 potential:1 account:1 science:1 inertial:8 work:1 following:4 making:2 spontaneous:2 example:1 f1:1 f2:3 cosmological:1 process:2 relativistic:2 sokolov:13 states:1 assumptions:1 want:1 past:1 unphysical:1 specific:1 narozhny:1 generally:1 turn:1 rather:1 discussion:1 nontrivial:1 csu:2 instead:1 sin:2 circular:20 simplicity:1 abstraction:1 undergoing:1 may:1 informs:1 plane:6 accelerates:2 light:2 approximation:1 accelerated:2 lhs:1 correlation:5 order:1 baier:1 fresno:3 over:1 move:2 flips:3 course:1 thermal:2 counterclockwise:1 mentioned:1 existence:4 excitations:1 its:11 derive:1 thank:2 fiz:2 relativity:1 vicinity:1 decreases:1 detected:3 main:2 eup:1 versus:1 eventually:4 non:19 good:1 ya:1 mironov:1 landau:1 sssr:1 effects:5 they:4 half:2 now:5 gets:3 name:2 always:1 university:1 hamiltonian:1 realistic:1 magnitude:2 arrow:1 each:1 found:1 homogeneous:11 differential:2 financial:1 directly:1 t2:1 energy:13 idea:1 related:3 investigated:1 combining:1 quantum:3 our:6 happen:2 eq:23 event:1 really:1 ru:1 shown:1 jackson:1 acknowledgment:1 space:6 since:5 rev:3 semi:2 douglas:1 particles:12 acting:1 denoted:2 correct:1 math:1 shows:2 sinh2:1 theory:2 causally:1 written:1 eternal:5 free:2 standard:3 difficulty:1 reason:8 complicated:1 e1:1 universally:1 temperature:2 definition:2 interaction:4 derivation:1 r2:2 r3:2 transition:3 times:2 motion:24 thing:1 danilov:1 relativistically:1 ltd:1 hence:2 moving:14 teor:2 neglect:1 first:4 origin:1 intuition:2 already:1 features:3 probability:10 number:2 done:1 another:2 type:3 radiate:4 angular:1 given:3 perturbation:1 exists:1 leading:1 interact:1 cheremushkinskaya:1 system:1 approximately:1 unruh:22 their:6 rates:5 too:2 calculations:2 final:1 gives:1 schwarzschild:1 moscow:1 exactly:3 part:1 authors:1 x0:1 cosh:1 than:1 distance:1 rate:3 matter:2 future:1 toward:1 powers:1 russia:1 synchrotron:2 sees:3 turned:1 spectrum:4 discussions:1 say:1 elsevier:1 seen:2 any:3 acceleration:19 latter:3 storage:1 note:7 internal:3 take:3 forces:1 so:1 detector:50 sriramkumar:2 akad:1 electric:3 investigations:1 measures:1 reach:1 katkov:1 boltzmann:1 connected:1 significant:1 nothing:1 why:2 interacting:3 considered:1 clear:2 coincides:1 points:4 electrons:8 velocity:8 physics:2 notion:1 fact:2 drastically:1 show:8 supported:1 appearing:1 russian:1 spaces:1 polarize:1 trivial:10 find:3 ground:3 based:1 behind:1 should:5 analytic:1 only:5 going:3 black:2 factor:3 circle:2 oct:1 equilibrium:1 do:7 closed:2 get:4 de:1 beam:1 valuable:1 closely:1 despite:1 during:3 dt:1 ds:1 processes:4 aet:2 conditions:2 arxiv:2 wightman:12 grav:3 qc:1 nauk:1 minkowski:3 fixed:1 gravitational:1 reference:6 physically:3 undergoes:1 frame:9 correlations:2 flip:5 observed:3 see:6 radius:1 result:3 y0:1 cyclotron:1 close:1 contour:5 definitely:1 detect:5 exponent:3 away:1 rings:1 state:6 depolarization:1 various:2 radiated:2 between:8 orbiting:6 invariant:1 approach:1 birrel:1 nature:1 initially:1 attention:1 however:6 louko:1 comm:1 jetp:2 come:2 observer:4 both:7 cos:2 qft:6 taking:2 ωs:3 against:1 quantization:1 connection:2 iv:1 mane:3 contribution:6 argue:2 expression:1 experimental:1 mechanics:1 co:8 fields:4 point:6 simple:1 ca:1 corresponds:3 coincidence:1 pole:2 homogeneously:2 simply:1 respect:2 testable:1 considers:1 considering:1 second:1 trajectory:9 radiative:1 due:11 been:7 int:4 much:1 hawking:4 ph:1 abstract:1 empty:1 obtained:1 direction:2 reaction:4 photon:2 understand:3 external:3 catch:3 general:1 spin:11 former:1 present:5 case:14 explicitly:1 unlike:2 harder:1 alter:1 will:10 while:2 replaced:1 encircled:1 stopping:4 ultra:1 metric:2 thus:5 surface:2 equal:1 ii:2 characterize:1 curved:1 mod:3 different:4 verified:3 grant:2 circularly:2 radiation:14 same:12 complex:6 quant:3 arguments:1 finite:7 higher:1 calculation:3 used:1 posed:1 trajectories:4 effect:29 levels:4 uses:2 infinite:2 lower:3 off:1 well:4 davis:1 analysis:1 comes:4 coordinate:1 position:1 bending:1 agency:1 just:1 decreasing:1 rindler:2 obtain:2 rest:2 atomic:1 integer:1 alternative:1 speed:1 previous:1 polarization:2 leinaas:3 zakharov:1 bell:3 seems:2 source:1 interested:3 suppressed:1 lett:1 easy:1 apart:2 interprets:2 excited:8 momentum:1 real:3 desy:1 depends:1 results:1 period:1 increases:1 know:2 background:7 vacuum:3 press:1 using:2 accepted:1 occurring:1 insert:1 necessary:1 like:3 particle:5 follows:1 interestingly:1 performing:4 accelerating:6 ternov:13 steps:2 either:1 arbitrary:1 become:1 accelerations:3 stationary:2 reduced:1 spins:2 mathematical:1 hallmark:1 because:4 often:1 classical:1 back:1 moreover:3 images:2 happens:1 discarded:1 lead:1 integration:1 per:1 does:5 unit:1 assuming:1 yields:1 inserting:1 meanings:1 padmanabhan:3 imaginary:1 shaken:1 comparison:1 about:1 instantaneously:1 discussed:1 a2:1 horizon:5 bath:1 considerations:2 cambridge:1 letter:2 previously:1 into:3 integral:6 polikarpov:1 three:1 phase:1 references:2 sov:3 operator:2 hep:2 support:2 there:4 question:3 long:2 class:3 rept:1 describes:1 quanta:1 way:1 was:1 function:15 complete:1 form:3 barber:2 but:7 volume:1 heat:1 hb:2 relaxes:1 made:1 emil:1 whether:4 characteristic:2 inside:1 up:3 us:3 below:4 frequency:1 those:1 akhmedov:2 fluctuations:2 distribution:4 similar:1 calculated:1 strongly:3 constant:17 homogenous:1 detectors:9 universal:4 escape:1 evidence:1 proper:3 examine:2 exist:1 periods:1 laboratory:3 moves:4 simplest:1 physical:12 functions:2 equation:1 no:2 whereas:1 when:4 plugged:1 field:15 other:4 spatial:1 department:1 massless:3 clicks:1 picture:1 repeat:1 kinds:1 a1:2 meaning:4 important:1 singleton:1 implies:1 dτ:2 holes:1 time:22 international:1 starting:4 once:1
|
0705.2526.txt |@word concept:2 partial:2 consider:7 chain:1 illustrates:1 eaires:1 erations:1 results:10 gy:7 gx:33 indicates:1 obstruction:2 mild:3 proposition:3 generalize:1 gb:3 during:2 c2:1 consists:1 gn:7 gl:4 ateaux:2 gj:2 compact:1 isometric:20 c0:11 sℓ1:11 unanswered:1 tn:66 finally:4 tm:25 tj:8 aut:2 weakening:2 under:7 analogous:2 norm:16 ta:2 applied:10 conjecture:1 supported:1 straightforward:1 orthogonal:3 very:3 tends:1 springer:2 focus:1 corollary:1 valued:3 every:2 condition:6 dim:5 subsets:1 did:1 turns:5 notes:2 tema:1 deals:1 convenience:2 vector:2 klm:14 c00:10 fortiori:1 upper:1 zn:38 des:1 zk:13 exposed:7 estimates:1 suffices:4 approximation:2 second:1 fmk:5 further:4 substitute:1 canonical:2 even:1 aim:1 what:2 appear:3 gk:3 section:6 brief:1 uniform:3 access:1 sequential:1 en:5 kalton:3 above:16 sup:7 new:2 bn:5 viii:1 body:1 supporting:1 κn:1 simultaneously:4 respectively:4 certainly:1 here:10 atoms:12 desired:1 identifications:1 guerrero:3 cultural:1 address:1 xβ:1 xγ:4 xα:3 respect:6 appears:1 obtained:8 quart:2 remark:3 technical:2 involved:1 vectors:4 allows:1 finnish:1 contradiction:2 sx:74 prior:1 resulting:1 pick:3 xmk:5 suitable:12 makes:2 involves:2 formulated:3 projection:21 classification:1 wkh:1 vik:10 vii:1 limt:3 limk:3 limi:1 limn:6 liml:2 apply:11 unit:5 use:2 cluster:1 proceed:3 would:1 prove:1 remains:1 positive:4 contains:2 negative:1 induction:1 properties:6 vol:4 call:1 associated:1 nonatomic:1 type:2 more:4 hahn:1 duality:2 vl:4 operators:8 qbm:2 wi:1 berlin:2 particular:4 known:2 cases:1 cardinality:1 iii:4 eγ:3 must:1 states:1 account:1 isomorphism:1 contradicts:4 recall:18 equation:2 work:3 mk:9 slices:1 concepts:2 following:29 strategies:1 ingredient:1 example:7 proof:22 control:4 claim:9 give:2 rodriguez:3 choice:1 preserving:4 organized:1 topic:1 sphere:1 assumptions:6 something:1 reconstruct:1 sense:5 yα:8 yβ:2 guarantee:2 normalize:1 respective:1 recursive:1 mutually:1 rather:2 verify:1 holds:21 feature:1 orthogonality:1 write:7 maps:1 cardinal:4 becerra:3 answer:2 instead:2 verlag:2 belongs:1 map:6 product:1 may:17 max:10 after:1 orbits:1 fa:1 independent:2 coming:1 date:1 fi:2 fk:17 fm:4 fn:24 rotund:2 sy:34 short:3 natural:2 helsinki:3 whenever:4 element:13 roundish:1 si:7 sh:4 so:11 sm:2 decreasing:3 definitions:2 subsequently:1 transitivity:9 sf:3 se:3 typical:2 acts:2 neighbourhoods:3 indeed:13 pointed:1 mainly:1 soc:3 lindenstrauss:2 paper:4 london:1 thesis:1 banach:50 mentioned:1 existence:5 satisfies:9 y2:21 its:2 recalling:1 group:3 termed:1 fix:13 lm:28 lk:3 actually:4 choose:1 lp:3 mail:1 main:11 wellknown:1 no:2 yi:5 non:6 yj:4 motivated:1 yl:3 combination:1 yn:6 numerically:1 introduce:2 mention:1 oxford:1 rotation:8 now:3 smoothness:4 february:1 2p:2 characterizes:1 university:2 orthonormal:1 2f:1 inequality:2 sk:39 2b:1 each:79 found:1 side:1 subset:7 sb0:3 sb1:1 ek:14 ej:2 ed:1 reduce:2 related:5 ball:2 interplay:3 measure:1 our:3 operation:2 event:3 neighbourhood:10 out:7 large:1 zizler:1 space:51 continuity:2 since:55 research:2 mazur:15 gˆ:2 contained:1 smk:5 denoted:4 lecture:2 get:19 completeness:1 forth:2 math:9 shows:1 exactly:1 reformulation:1 linear:13 acknowledgements:1 given:15 mapping:4 admits:4 indices:1 completely:1 statistics:1 york:2 members:1 put:17 sbm:1 definition:6 pairs:10 bam:1 exposing:4 applications:3 geometry:11 could:4 finland:2 ask:2 used:3 length:2 universidad:1 hence:19 βm:8 tzafriri:2 onto:5 first:5 separable:19 xk:4 already:2 xn:62 xm:14 ℓp:2 powerful:1 primary:1 rank:2 comprised:1 intuitively:1 philosophical:1 construct:2 another:1 gy0:8 interlude:1 open:13 surveys:1 necessarily:2 similarly:9 introduction:3 least:1 parallel:1 sℓ:1 assumption:16 too:1 uki:4 convention:1 pairwise:1 1l:4 speaking:3 gives:6 obtains:1 relationship:1 academy:1 tool:3 continuous:5 proving:1 part:3 completes:4 coefficients:2 zγ:1 wide:2 kind:3 characterizations:14 was:8 require:2 likely:1 dispensed:1 preparation:1 subsequence:3 contrary:2 were:3 projections:8 sak:1 motivation:1 sam:4 randrianantoanina:8 cabello:3 py2:11 argument:5 generalization:2 affirmative:1 say:4 close:1 disjoint:7 seen:2 clearly:8 warsaw:1 sa:12 generalizes:1 jour:1 depending:1 lim:18 latter:1 note:23 extracted:1 z1:1 gkj:5 take:2 gkn:2 techniques:2 hajek:1 recursively:2 begin:1 gδ:1 multiple:1 allow:1 established:1 sl:14 satisfy:3 phases:1 most:1 courtesy:1 dist:16 gustaf:1 automorphism:1 pair:16 sa2:1 sa1:4 sa0:1 class:2 cc:1 dens:8 kj:2 adopt:1 countably:1 kn:5 order:5 countable:3 points:17 reflections:3 exp:6 wot:3 amir:1 physics:1 attacking:1 fact:24 selection:7 show:6 hm:8 anyway:1 functionals:3 notations:2 purely:2 attempts:1 spaces:43 decompositions:2 find:4 witnesses:1 ha:1 based:1 ba1:1 topological:3 should:1 examples:1 lemma:24 only:4 wood:1 inherited:1 local:1 preliminaries:1 dn:4 triangle:1 goes:1 means:7 connections:1 de:2 words:1 invariant:2 combinations:4 lattices:3 conjunction:1 amer:1 secondary:1 regarding:2 qr:10 approach:3 arxiv:1 sum:1 investigate:1 common:2 contain:2 fixed:4 bak:1 strengthened:1 requirement:1 set:32 constructing:1 exists:20 imposing:1 bounds:1 relative:12 y1:21 see:22 result:11 recently:1 theoretic:1 subject:1 instance:2 lur:20 said:3 draws:1 subsequent:1 consequence:2 arbitrary:10 vkj:1 various:1 closed:8 between:3 pǫ:8 geometric:4 hold:8 conditions:15 glasgow:1 preserve:1 wl:3 terms:2 interchangeably:1 extend:1 nature:1 alaoglu:1 wk:6 complement:1 notion:1 weak:16 however:1 observed:1 inclusions:1 hypothesis:1 answers:2 extent:1 article:2 contractive:1 ker:3 n1l:1 topology:12 both:2 cor:1 last:1 many:1 taking:1 according:5 fkj:2 admit:1 embedding:1 argue:1 otherwise:1 cj:27 relevant:1 cn:40 cm:9 characterization:7 simple:1 character:6 asymptotically:1 dimensional:16 disjointness:4 sequences:1 moreover:5 strong:10 bbj:1 basis:5 addition:2 px:8 locally:2 three:1 been:3 strategy:1 ai:3 reduction:1 pa:4 combined:1 basic:1 pk:20 ph:1 pn:3 ak:4 pl:2 define:2 surjective:2 box:1 corresponding:5 finishes:1 sufficient:1 subspace:22 observe:10 bull:1 c3:1 gˆateaux:1 c1:6 denote:8 those:1 case:10 novel:1 approximated:2 might:1 straight:1 extremadura:1 will:13 while:1 suppose:6 compactness:2 applies:1 property:3 characterizing:1 weakens:1 iy:5 ix:8 studied:1 engl:1 conv:70 almost:9 vi:1 metric:1 vk:21 thus:23 yk:4 iv:1 ii:10 characterize:1 ik:20 dual:2 claimed:1 zhang:2 fki:3 containing:4 φt:7 fkm:1 author:1 recursion:2 make:1 connection:1 same:1 any:15 parts:1 advances:1 modification:1 finite:9 composition:1 isometries:4 ordinal:2 meets:1 extended:2 infinity:1 key:1 closest:7 complemented:3 ju:1 hand:9 intersects:1 nk:2 characters:1 infinite:4 frequently:2 identity:2 subspaces:6 lower:1 weakly:12 reflection:11 band:3 min:5 well:3 roughly:2 analysis:1 thought:1 academic:1 thm:4 without:2 machinery:1 components:1 sets:3 claims:1 qǫ:6 lin:1 subgroup:5 isometry:4 mkj:1 when:1 proximity:1 obtain:33 atomic:2 using:8 facts:6 g0:21 glue:1 eorie:1 previous:3 doctoral:1 palacios:3 family:7 density:8 regarded:1 point:49 seems:1 lattice:4 other:9 easy:2 theorem:36 extensive:1 guarantees:1 real:4 around:1 big:24 posed:1 term:1 admitting:2 increases:1 press:1 equality:1 unique:4 apart:1 loss:2 tl:5 like:2 semi:1 follows:13 reduces:1 wkj:5 bℓ1:1 separately:1 yields:9 either:1 alternatively:1 rearrangement:1 become:1 essential:2 terminology:1 reidel:1 because:2 often:2 classical:6 sequence:36 3bx:1 some:19 back:2 exposes:1 linearly:2 b0:4 b1:4 convex:59 conveys:1 proofs:3 provided:2 slice:1 dense:16 tα:34 though:1 isometrically:15 prop:1 does:2 decomposition:1 select:5 provides:2 assuming:2 tmk:2 proc:2 demonstrated:1 refer:1 substitutes:1 ba:1 bm:3 equivalent:1 l1:1 bi:14 bj:4 restrictive:1 putting:1 approximating:1 th:1 bx:28 hilbert:31 stage:2 about:6 central:1 extension:1 theorems:3 discussed:1 a3:1 o:1 convenient:1 supervised:1 theory:2 l1k:1 ti:11 transitive:53 consequently:6 book:1 op:1 sb2:1 raised:1 cambridge:1 convergent:1 into:1 rotations:12 functional:8 due:2 tackle:1 right:1 references:1 sot:5 operator:5 next:5 mere:1 1dimensional:1 metrizable:1 span:20 additional:2 assumed:2 support:6 there:58 question:8 approximate:1 inner:1 forward:1 m1:2 sections:2 zaidenberg:1 function:2 complete:3 form:3 ea:1 relaxed:1 but:4 hk:1 neutral:1 construction:9 hn:8 atom:12 convergence:1 removed:1 sobre:1 xγ2:1 again:2 supz:2 xγ1:2 applying:11 versions:1 whether:1 smooth:17 up:2 us:8 dordrecht:1 below:3 un:6 ui:1 supm:3 how:1 uj:5 highlight:1 problem:7 pm:1 similar:1 called:7 distance:1 mechanics:1 phil:1 proved:1 defined:3 certain:1 abstract:1 aj:6 am:20 general:4 exist:3 ay:4 families:2 inf:14 kl:13 check:2 defines:1 codimensional:2 compared:2 nl:1 variety:1 fixing:1 generally:1 detail:1 application:2 setting:8 department:1 mathematics:5 concerning:1 conclude:4 elements:9 star:1 preceding:2 uniformly:1 variation:1 a1:8 a0:5 generated:1 a2:2 additionally:2 included:2 foundation:1 implies:1 assume:13 generality:2 required:1 sbj:3 orbit:2 together:4 original:1 py1:13 weights:4 far:1 n1:3 n2:2 n3:1 requires:2 having:1
|
0705.2527.txt |@word sci:1 consider:1 priori:2 alg:2 blanchard:1 results:6 invent:1 existing:1 scalar:1 proposition:38 computation:1 edu:2 consists:1 follow:1 reasoning:2 compact:10 isometric:1 depend:4 analytic:5 paris:1 graph:2 equivalence:13 contained:2 v12:1 quasi:10 preserved:1 under:1 ebres:2 analogous:2 norm:5 ingredient:1 very:3 pages:1 rise:25 differently:1 choice:8 corollary:7 every:2 lecture:1 emphasized:1 difference:1 condition:2 presented:1 notes:1 july:1 vector:2 rev:3 nos:1 smaller:2 haar:5 direct:10 zero:2 huα:7 linear:3 bilinear:1 will:24 what:6 plays:2 invertible:1 giving:18 section:14 analogously:1 expressed:1 pontryagin:2 version:1 above:4 sup:4 new:2 appeal:1 consisting:2 contrast:1 pioneering:1 devoted:1 justification:1 notions:3 respectively:8 here:1 modular:28 objects:4 groups:34 address:2 represented:2 affiliated:2 interpret:1 morphisms:2 obtained:1 remark:17 institute:1 involved:2 study:3 studied:1 homeomorphism:4 vaes:3 products:6 masuda:1 action:2 uniquely:5 remembering:1 formulated:2 projection:1 family:5 extra:1 explained:2 unitarity:1 iz:3 lima:1 linearly:2 use:14 prove:3 covariant:2 positive:5 contains:5 finally:1 next:3 therefore:13 taken:1 means:2 until:1 more:2 preserving:1 duality:2 coassociative:2 becomes:1 operators:15 toolkit:1 surjection:1 particular:6 known:1 degenerately:2 must:2 worst:1 account:1 isomorphism:16 middle:1 recall:4 equation:4 work:1 pour:1 reproduce:1 remain:1 following:5 arrive:1 example:2 proof:28 point:1 tuset:1 give:6 ultraweak:14 ann:2 states:1 degenerate:8 sense:2 spb:1 conversely:1 firmly:1 information:1 end:1 provide:1 acts:1 dualit:1 write:2 unitaries:19 w24:1 ent:1 kustermans:4 fourth:1 answer:1 guarantee:1 parameter:6 stanislaw:11 map:10 product:8 algebra:29 may:3 contragradient:7 after:1 france:1 plane:1 coming:2 ζx:2 representations:40 data:1 natural:1 third:1 lines:1 su:1 element:15 rather:2 so:9 fundamental:1 definitions:3 op:1 order:1 ec:2 operations:1 restriction:1 hom:23 interpretation:1 produces:1 developed:3 over:1 satisfied:1 years:1 course:3 paper:8 through:1 banach:2 existence:4 satisfies:5 still:2 its:4 before:2 manageable:8 group:63 τi:1 chosen:1 interesting:1 fix:1 forms:1 baaj:3 pac:1 choose:2 unbounded:2 mail:2 τt:23 main:6 might:1 into:3 w23:17 maximal:6 them:1 pure:1 confuse:1 number:3 ultraweakly:3 mention:1 leuven:1 they:4 now:15 realize:2 association:1 establishes:1 easily:1 term:2 finite:1 indeed:5 name:2 university:2 sufficiently:1 l1:1 comultiplication:6 repeating:1 side:4 associative:1 referred:1 subset:4 domain:4 prompted:1 weight:3 chose:1 w14:1 w13:22 w12:6 related:1 bijective:1 literature:1 entering:1 measure:3 quantum:80 our:7 operation:5 es:1 category:5 ru:66 shown:6 matrix:3 space:37 restricted:1 furthermore:1 since:5 crucial:2 research:1 acting:6 reader:1 denoted:4 formula:11 get:3 suffices:1 math:18 shows:1 reformulation:1 theory:6 possibility:1 standard:1 reason:1 bwc:2 put:1 van:1 subalgebras:1 beginning:1 definition:29 pairs:2 monoidal:1 language:1 applications:1 could:2 omit:3 modularity:3 times:1 thing:1 maximality:1 topologies:4 consequence:3 onto:3 first:7 separable:7 already:3 features:1 faculty:2 ihv:2 primary:1 iht:1 restrict:2 xy:1 24th:1 another:3 xq:1 given:14 similarly:3 introduction:1 twenty:1 adjoint:2 twisted:1 construct:1 iab:1 their:2 assumption:1 statement:9 realization:1 scheme:1 structures:1 gives:4 holomorphic:1 way:4 prescribed:1 tool:2 continuous:26 za:1 πu:6 part:6 because:3 dixmier:1 tive:1 than:4 nakagami:1 determines:1 holland:1 showed:1 namely:1 roberts:1 determined:4 were:4 similar:1 solely:1 symmetries:1 remained:1 unchanged:1 argument:1 say:5 conjugate:2 intertwining:5 seen:1 st:1 any:56 contents:1 warsaw:2 constructions:1 latter:2 thorough:1 converges:1 note:9 take:9 canonical:1 zakrzewski:1 even:1 begin:1 shall:16 object:3 most:3 regular:3 but:4 automorphism:5 representation:59 pair:7 class:5 classification:1 observation:2 consequences:1 dom:8 considered:3 clear:3 later:3 coincides:1 tα:1 countable:1 proceedings:2 points:1 physics:8 notion:4 fitted:1 precise:2 show:4 absorbing:15 v13:2 supported:1 crois:1 spaces:5 relation:2 kbn:1 trivial:3 find:3 based:2 just:2 lemma:6 only:11 generators:1 subsection:3 rich:1 inherited:5 hopf:1 characterization:1 do:2 correctly:1 meanwhile:1 de:3 famous:1 words:2 international:2 soltan:13 secondary:1 closure:6 qu:1 transposition:2 arxiv:1 fixes:1 twice:2 involutive:2 contain:1 fixed:1 krein:1 view:1 kernel:1 set:6 exists:29 hα:2 closures:1 up:3 see:9 intertwine:1 result:4 close:1 analog:2 subject:1 satisfying:3 tensor:12 skandalis:3 uα:9 functionals:4 state:2 closed:5 between:3 invariant:2 conditions:2 notice:5 terms:2 importance:1 transpose:1 attention:2 weak:1 however:1 comm:1 multiplier:1 come:1 holds:2 endows:1 topology:14 σk:2 both:5 last:2 tannaka:1 many:2 taking:4 density:1 equal:1 conference:2 etc:1 les:1 colloquium:1 embedding:3 mean:2 σw:1 comes:2 detailed:1 amenability:2 necessary:1 conclude:1 simple:2 continuation:1 cf:16 grants:1 anti:10 κu:16 moreover:18 throughout:2 speak:1 selfadjoint:1 kernels:1 pp:3 described:6 commutative:2 second:3 addition:1 locally:7 been:3 int:5 faithfully:2 belongs:4 basic:1 u13:12 algebras:19 abstract:1 pl:2 define:7 v23:1 generating:1 families:2 eformations:1 commutes:1 2it:3 subspace:1 maps:3 bull:1 denote:2 present:1 case:2 fuw:2 subsets:2 developing:1 contexts:1 defining:2 appearance:1 aim:2 while:2 freely:1 situation:1 adjointable:1 property:9 leaves:1 inherits:1 correspondence:2 unitary:74 vol:1 endowed:1 von:1 thus:2 non:14 ii:10 ih:8 regularity:2 itself:2 properties:5 coassociativity:2 dual:16 ia:12 limit:1 supremum:1 id:253 piotr:11 different:2 az:3 φu:14 belong:1 same:4 clearly:7 complex:3 viewed:1 resulting:1 proved:2 several:1 subalgebra:3 composition:3 difficult:1 development:1 independent:10 used:5 imply:1 hand:4 infinite:1 2i:9 identity:3 recent:1 scaling:8 symp:1 framework:1 nevertheless:1 well:2 concrete:1 without:2 monograph:1 sets:3 position:3 arising:2 dimension:1 wc:3 left:5 isometry:1 world:2 proposed:1 being:1 obtain:7 via:1 identify:1 pseudogroups:3 immediately:3 facts:3 co:1 preprint:1 generator:1 infinitely:1 ghez:1 slices:2 character:1 exclusively:1 handy:1 appeared:1 setting:4 lett:1 easy:2 theorem:31 guarantees:1 gave:2 aspects:1 depends:1 isomorphisms:1 mor:34 spatial:1 sums:4 possible:1 u23:8 increases:1 step:2 using:7 ams:1 unique:25 appearing:2 semi:2 identifying:1 follows:23 automorphisms:7 intertwines:3 arbitrary:1 multiplicative:60 simply:1 page:5 unexplored:1 ωn:13 satisfactory:1 right:17 functional:1 neumann:1 classical:1 sequence:1 tells:1 some:8 self:2 understood:1 examples:1 proofs:2 uniqueness:4 dense:8 separate:1 providence:1 does:3 decomposition:4 unit:1 provides:1 assuming:1 compute:3 proc:1 refer:1 core:7 retains:1 equivalent:14 each:4 bu:34 bv:11 bw:5 become:1 hilbert:36 about:3 extension:1 algebraic:2 theorems:1 discussed:1 oa:2 reduced:18 compatible:1 range:1 extensions:1 woronowicz:25 introduced:2 consequently:1 morphism:21 mathematical:4 soc:1 cambridge:1 statements:2 letter:1 inclusion:1 slice:1 image:3 isomorphic:5 remarks:1 bicharacter:13 references:1 operator:18 reducing:4 physical:1 methods:3 fill:1 additional:2 assumed:1 strictly:1 there:41 question:2 noticed:1 strict:1 lot:2 series:2 analyze:1 was:3 naturally:2 north:1 form:3 hv:18 hw:7 jul:1 hu:48 repeated:2 construction:2 functor:1 injection:1 true:1 partially:1 commun:2 u12:7 applying:2 subrepresentations:1 fulfilling:1 uv:1 flip:6 us:14 theoretical:1 below:1 un:5 ui:4 w34:1 sum:4 subrepresentation:5 called:11 strongly:18 ab:2 associated:1 ad:11 defined:19 certain:1 universal:26 describe:2 general:4 aq:2 eu:19 proves:3 exist:3 formulation:1 ax:1 erie:1 daele:1 constructed:1 again:2 lausanne:1 no:13 when:1 defined:2 multipliers:3 application:2 disjoint:3 other:4 role:2 papers:1 department:2 mathematics:2 superfluous:1 conclusion:1 lance:1 polar:4 briefly:1 elements:13 expressible:1 symbol:1 categories:2 variation:1 generated:9 important:3 bounded:2 au:83 sides:3 structure:9 building:1 implies:1 assume:3 established:3 pusz:1 modules:2 together:1 equivalently:1 scientific:2 weights:1 fact:9 time:2 far:1 rep:22 once:4
|
0705.2528.txt |@word limited:9 katz:2 measurements:5 evidence:1 consider:2 represent:1 luminosities:2 results:6 although:6 nottingham:2 2000b:2 garching:1 morphology:1 disk:1 assembled:1 bershady:8 request:1 maller:3 certainly:1 simon:1 depend:1 calculate:4 re:1 disturbances:1 vs:1 including:1 supported:1 tail:1 millennium:4 highquality:1 those:4 under:1 asymmetries:26 include:1 muchachos:1 case:2 comparatively:1 mpc:5 very:9 construction:1 2rd:1 straße:1 springer:1 induce:1 subunits:1 sloan:1 schade:4 additional:1 difference:4 logarithmically:2 categories:1 generalised:1 four:1 school:2 level:1 did:1 unusual:1 attempts:1 large:9 debris:1 progress:1 yale:1 indices:7 inspection:1 noted:2 programme:1 still:1 upper:2 too:1 smaller:1 carter:3 findings:2 consistent:6 prediction:1 approximation:1 consists:3 rate:24 uk:1 equal:3 trent:1 dynamics:4 estimated:1 mason:1 universities:1 index:9 what:2 ccd:2 identifies:2 appear:2 toledo:5 section:5 selected:7 near:2 arnouts:2 below:2 version:3 above:13 ultraluminous:1 deal:1 obvious:2 falling:1 l1:1 method:8 contrast:3 body:3 cjc:1 segmentation:9 full:1 construct:1 hern:5 degree:3 arcsec:2 ısica:1 examining:1 here:1 agreement:2 ranges:1 asymmetry:58 objects:31 andrews:2 separation:35 address:1 galileo:1 ratio:4 appears:3 change:1 box:1 canarias:1 instituto:1 parameters:3 canadian:1 drp:1 study:3 larger:7 reason:1 commonly:1 example:1 host:1 suggests:1 preferentially:1 survey:9 usually:1 formation:2 studies:1 observatorio:1 plotted:2 vic:1 being:3 via:6 hst:3 2000a:7 exhibit:1 magnitude:6 highly:10 spanish:1 coinciding:1 remnant:4 apply:1 should:3 research:3 select:4 horizontal:4 plot:2 undergone:1 eye:1 superpositions:2 distinct:1 positive:1 contains:1 predictions:2 discrepancies:1 few:2 doubt:1 examination:1 therefore:10 criteria:3 9ss:1 doubling:1 stage:1 type:4 theoretical:4 marginally:2 more:21 fractions:6 flat:3 populations:1 successful:1 correlate:1 starburst:1 corrected:2 pairs:71 surprisingly:1 primarily:1 phleps:1 arms:1 particular:2 cases:1 hold:1 iii:1 must:7 subjective:1 sample:44 account:2 lilly:1 defines:1 mb:6 cas:32 equation:2 constraint:1 makino:2 remain:1 examined:1 values:6 thin:1 caveat:1 tracing:2 following:5 gravitationally:1 history:1 compare:6 corrupted:2 figure:13 give:2 process:4 choice:1 grant:1 purposes:2 weinberg:2 cnoc2:4 indicates:1 way:2 council:3 unphysical:3 exclude:1 keep:1 distributions:2 absolute:3 information:1 united:2 requirements:1 borch:1 colless:2 provide:2 imminent:8 discussion:1 holds:1 patton:19 feature:1 jochen:1 regions:1 how:3 methodology:1 numerous:2 criterion:2 wolf:1 hi:1 axis:2 classify:1 map:1 morphological:3 undergoing:2 may:12 demonstrates:1 after:5 derived:7 orbits:1 collection:1 klypin:2 explored:1 mag:12 end:1 bertin:2 unchen:1 data:8 parallel:1 types:2 decontaminated:1 blanton:2 aj:7 short:1 attempt:1 dynamical:3 imply:1 object:1 light:3 zentner:1 separations:8 yielding:2 st:2 accounted:1 rather:1 cannot:2 so:3 progressively:2 decreasing:3 definitions:1 acknowledges:1 guenther:1 order:8 bins:4 typical:2 tagged:1 passages:1 remnants:18 considerations:1 developed:1 over:5 murali:2 interpreted:1 produced:2 course:1 paper:5 through:3 cuts:1 cold:1 suffer:1 tololo:1 galaxy:33 contaminated:6 observational:3 sciences:1 style:1 derive:9 remainder:1 la:2 chosen:1 del:1 masses:1 presence:2 vicinity:1 decreases:2 edge:3 better:1 systems:13 bin:1 cross:3 main:2 into:3 versus:1 eventually:1 them:2 hawthorn:1 affected:1 greater:1 gunn:1 regarding:2 masjedi:2 lesser:1 dav:2 tails:1 they:5 half:2 now:3 meisenheimer:1 bank:1 structural:1 represents:1 february:2 products:1 brightness:3 always:1 university:8 classified:2 barton:1 identified:5 merge:11 le:1 kpc:41 volumelimited:3 radial:2 found:6 went:1 difficult:3 referred:1 homogeneous:2 differential:2 significantly:1 guhathakurta:1 ed:2 contiguous:1 revised:2 snapshots:1 frequency:1 measure:6 our:24 inspections:1 extract:1 event:1 out:7 canada:2 emerges:1 shown:5 rp:13 network:1 space:1 miss:1 furthermore:3 since:2 induces:1 projected:21 denote:1 falsely:1 increase:1 replacing:1 unrelated:1 dominated:1 ra:25 wide:2 suggesting:3 induced:2 issue:1 correct:2 red:1 shows:5 foreground:1 frei:3 interactions:4 southern:2 contain:1 galaxies:153 given:1 free:1 quite:1 small:8 approaches:2 swinburne:1 imaging:8 members:2 org:1 estimate:4 companion:9 likelihood:1 care:2 hubble:3 interaction:7 created:1 could:3 similarly:1 count:1 used:6 david:1 motion:1 turn:1 american:1 disturbed:2 massive:6 unknown:1 hence:11 view:2 support:1 first:3 blind:3 major:8 initial:1 features:1 symmetry:1 enhances:1 powerful:1 number:5 least:7 directly:2 blank:1 carry:1 impossible:1 thick:2 precisely:1 quality:1 angular:1 ordinate:2 surveys:4 unfeasible:1 likely:18 indicate:2 introduction:2 leading:1 system:4 ripples:1 their:12 kravtsov:2 draft:2 observations:1 calculations:1 importantly:1 rates:3 majority:2 sextractor:3 structures:2 speaking:1 witnessing:1 stars:5 asymmetric:45 reversed:1 shallow:1 park:1 stresses:1 immediate:3 hut:2 part:1 gyr:12 somewhat:5 l139:1 natural:1 peculiar:1 intrinsically:1 distance:1 observatory:3 hyperbolic:1 unfortunately:1 gottl:2 isolation:2 require:2 roberto:1 second:1 matter:1 incompleteness:5 future:7 pairwise:1 were:8 papovich:2 enables:1 minor:3 tinsley:1 pre:9 bridge:2 pointed:1 false:2 sam:1 considerably:1 ran:1 lines:2 dynamically:9 modern:1 mind:1 interpretation:1 anu:1 supercomputing:1 headings:1 need:2 relic:1 concentration:1 cosmology:2 clearly:3 karl:1 relatively:4 lie:3 smallest:1 depending:1 hammer:1 latter:2 isolate:1 isolated:25 anglo:1 couch:1 telescope:5 schwarzschild:1 high:18 internal:1 take:1 observationally:2 finding:1 techniques:1 fevre:1 praxis:1 even:1 experienced:1 multiple:2 serena:1 centre:1 measures:1 overlap:1 most:7 germany:1 significant:9 ky16:1 phase:8 hernquist:1 acknowledgements:1 extremely:1 why:1 fair:1 latex:1 deviations:1 takes:1 considered:1 calculated:4 later:1 implications:2 drive:1 km:6 typeset:1 cameron:1 points:1 principle:1 clean:2 velocity:10 constrain:1 physics:6 incomplete:4 clumpiness:2 selection:6 particularly:1 show:13 cdm:2 probe:3 friction:3 infrared:1 implying:1 bright:5 relation:1 carefully:1 fife:1 determined:1 find:15 larson:1 indicator:1 specifically:2 based:4 blackburne:1 northern:1 merger:87 written:1 than:23 conselice:38 brighter:1 only:10 going:2 ambiguity:1 factor:2 parabolic:1 employed:1 haugh:1 local:4 thresholds:1 mgc:21 do:1 predict:1 correspondence:1 3m:1 means:1 de:15 dry:1 preferred:1 da:1 define:1 ones:2 christopher:1 nearly:3 words:1 new:3 during:1 distortion:1 haven:1 assigned:1 evolution:7 bar:1 consist:2 twice:1 luminosity:6 arxiv:1 median:1 assuming:3 remove:2 summary:1 against:1 bad:3 ng7:1 ascertain:1 release:1 distant:1 fixed:1 mergers:34 locating:2 arp:2 ignored:1 set:1 constructing:1 reference:1 physically:3 spheroidal:1 deemed:1 maximum:1 relative:1 roque:1 see:11 individual:1 result:3 operated:1 close:47 postmerger:1 drawing:1 observed:2 subject:1 closer:4 phases:2 satisfying:1 implied:2 interacting:5 position:2 nature:2 simard:3 its:4 catalogue:5 classes:2 various:1 jangren:4 between:12 notice:1 drawn:2 neither:1 before:3 approach:1 corruption:1 µb:1 available:2 perfect:1 comparable:1 secondly:1 spectroscopy:1 vertical:1 complementary:1 initially:2 wechsler:1 attention:2 deliver:1 however:12 spectroscopic:3 gratefully:1 cut:2 extent:1 contamination:11 distinguish:1 group:1 come:1 problem:2 postage:2 both:14 essentially:2 last:5 limits:5 many:2 region:1 acknowledge:1 according:2 abazajian:2 sensitive:3 connection:2 figures:2 bristol:1 puerari:1 lemon:1 los:1 nearby:11 among:5 presumably:1 necessary:1 timescale:2 bell:2 reasons:2 smith:2 excess:4 period:1 bullock:1 grants:2 simply:1 scottish:1 wider:3 fainter:1 actually:3 avila:1 total:4 code:2 late:4 hawkins:2 capable:1 addition:2 deep2:1 create:1 due:4 been:9 underlying:1 extraction:1 much:3 progenitor:3 indicators:1 ph:3 correction:4 fig:9 led:1 obtained:2 myr:1 liske:6 formed:2 collaborators:1 maps:8 understand:1 chile:1 careful:1 present:1 astrof:1 applied:2 uncertain:2 look:1 unlike:1 reliable:2 appearance:1 engineering:1 value:5 unusually:1 will:9 while:8 reliably:2 situation:1 advisable:1 procedure:1 unlikely:2 resolved:1 pellegrini:1 almost:1 thus:1 non:1 surface:2 iv:1 ii:2 comparing:4 good:2 nbody:1 allen:4 limit:5 spd:1 technology:2 seem:1 different:7 ing:1 erroneously:1 etc:1 perhaps:1 suggest:3 cumulative:6 merging:7 same:9 any:4 member:1 epoch:1 arguments:1 established:1 evaluate:1 irregulars:1 keres:1 several:4 events:1 european:1 status:1 visually:2 emphasise:1 extended:3 http:1 peaks:2 closest:3 island:1 driver:6 hand:2 driven:1 purpose:1 robust:2 tyson:1 recent:4 costa:1 lower:5 task:1 whose:3 well:5 masking:1 analysis:2 without:4 reese:1 components:1 quantitative:1 model:1 parametric:1 lin:5 distances:1 stringent:1 carlberg:5 ratios:4 less:14 increasingly:1 generally:3 proximity:1 newton:2 obtain:1 rest:1 seen:1 sources:2 pritchet:4 identify:7 questions:1 paul:1 somerville:1 previous:3 note:2 disturbance:2 preprint:1 classification:1 conclusions:3 regarded:4 scales:3 sky:6 except:1 exclusively:1 apjs:4 source:1 unambiguously:1 spirals:3 samples:7 extensive:1 prominent:1 remaining:1 pparc:1 kingdom:2 australia:1 putative:1 multiplets:1 showing:1 papers:1 measurement:2 possible:6 regard:1 cf:1 dark:2 increases:3 five:3 background:2 press:1 using:12 21l:1 replace:1 correcting:1 vetting:2 occurring:1 apj:20 propris:12 particle:1 identifying:1 follows:1 disks:2 tend:1 luminous:1 yields:1 either:2 arbitrary:1 become:1 inter:1 reasonably:1 mathematical:1 barnes:2 www:1 because:7 methods:15 classical:1 picture:1 marzke:1 some:6 searching:1 deduce:1 towards:2 expected:2 redshifts:5 images:4 faint:1 category:2 gradually:1 scale:10 projection:1 calibrated:4 confirm:1 broad:1 avoid:2 companions:1 paying:1 per:2 2dfgrs:1 does:2 eliminate:1 tends:2 eso:2 cerro:1 sdss:1 2df:2 measuring:6 noise:1 indicated:1 reaching:2 isaac:2 selecting:1 equivalent:1 each:5 jl:1 use:7 ober:2 update:1 stellar:1 ple:1 biases:1 casilla:1 similarity:1 tidal:2 post:3 emulateapj:1 properties:1 panel:3 comparison:6 about:5 works:1 carried:3 face:3 universe:2 dependence:1 o:2 stamp:2 range:6 haloes:1 obeys:1 west:1 gallagher:2 andez:5 slightly:1 therein:1 australian:2 alliance:1 positives:1 coverage:2 redshift:19 enough:1 h3:4 h0:1 within:8 bound:6 dataset:2 pair:39 right:1 references:2 determine:3 strip:2 physical:6 often:1 statistics:2 span:1 log:3 shells:1 normalised:2 measured:2 strictly:1 there:13 spiral:3 long:2 smoothing:1 dispersion:2 width:1 accordingly:1 camera:1 low:9 fraction:44 astrophysics:2 dickinson:1 was:6 lowest:1 fragmented:1 crampton:1 runs:1 north:2 complete:4 form:2 equatorial:1 forming:1 becoming:1 differences:1 but:15 astro:3 taken:3 hierarchical:1 automated:1 mnras:5 line:7 highest:1 true:1 relaxes:1 telescopio:1 volume:8 tresse:1 compute:2 farrah:2 whether:1 up:5 infante:2 until:1 work:2 paired:2 malin:3 books:1 ωm:1 toomre:6 benchmarks:1 heterogeneous:1 supa:1 distribution:16 stages:3 similar:7 average:3 regimes:1 separated:1 adopt:3 computing:1 int:1 stronger:1 abstract:1 specified:2 condition:1 deep:1 general:2 examine:2 gemini:1 simulations:7 nazionale:1 lifetime:1 formalism:1 graham:2 regime:1 compared:3 completeness:2 us:1 no:4 dashed:6 whereas:1 when:5 treatment:1 field:5 other:7 compares:2 details:1 normal:2 digital:1 department:1 lonsdale:2 borne:1 artificially:1 rt:24 draw:1 apparent:1 star:4 wrongly:1 l9:1 models:2 shredded:1 remains:1 bottom:1 includes:2 chance:1 important:2 palma:1 suited:1 included:3 astronomy:4 structure:1 missed:2 calculation:1 implies:1 longer:2 algorithm:1 assume:3 requires:2 interval:1 holes:1 visual:4 having:1 reports:1 neighbouring:2 mass:4 dot:1 image:1 time:18 baugh:2 berrier:3 resolution:3 original:2 once:2
|
0705.2530.txt |@word limited:9 gp:7 matz:1 magnetic:33 global:1 results:1 four:2 ginzburg:2 doted:1 petrova:3 ward:1 magnetospheres:1 millisecond:1 increase:1 aug:1 producing:1 γp:2 young:1 charge:5 foster:1 those:4 γb:5 kostyuk:1 orthogonal:2 very:7 frequencies:27 rc:2 account:1 induce:1 wave:12 electron:2 dispersions:2 refractive:2 resonant:12 difference:1 exact:1 condition:7 northwestern:1 2ωb:1 turns:2 laying:1 applicable:2 tubes:1 damped:1 leave:2 vector:4 phase:3 science:3 small:6 relation:4 separations:1 upper:3 too:2 smaller:9 force:1 occurrence:1 findings:2 consistent:2 sin2:6 prediction:1 goldreich:9 sign:1 rate:2 alfv:17 profiles:1 problem:1 equal:2 further:1 langmuir:1 gaensler:1 quite:1 komissarov:2 spectral:1 established:3 what:1 nonlinear:1 sub:1 giving:1 drifting:1 brief:1 supplied:1 current:1 erg:1 poles:1 goes:1 new:2 consisting:1 contrast:1 vanishes:1 escaping:2 placing:1 doing:1 spacing:6 equals:1 here:4 rlc:3 separation:3 arons:2 along:7 strong:5 appears:1 knowledge:1 mikhail:1 search:1 stark:1 inspired:1 vectors:2 completely:1 istomin:5 simultaneous:3 resulting:1 resonance:32 narrow:5 studies:1 involves:1 golden:1 prints:2 via:1 scales:1 marginal:1 explained:1 while:4 highly:1 apj:9 total:4 vital:1 kanbach:1 challenging:1 use:3 quasi:1 νs:4 would:5 continuous:1 physics:3 properties:7 stored:1 few:2 approach:1 call:1 crab:26 taken:1 reconnection:14 burst:1 unequally:2 separated:1 attractive:1 press:1 solitons:1 mismatch:1 emission:49 curvature:6 appendix:2 far:1 glast:2 particular:4 rare:2 cases:2 aligned:1 iii:2 keeping:2 rotational:1 mc:1 thousands:1 work:4 eclipse:1 reproduce:3 labeled:1 minimum:4 values:1 following:2 making:1 cone:3 ubiquitous:1 interstellar:1 νp:1 figure:5 give:1 process:3 discussed:2 sense:1 neglected:1 high:19 indicates:1 lorentz:12 taking:1 allowed:1 species:1 calculated:1 gev:5 normalize:1 rays:1 verified:1 off:3 occur:3 delay:1 located:1 interpulse:8 strom:1 symposium:1 ordinary:1 parameter:3 sin:2 isotropic:1 galactic:1 superluminal:1 may:15 oscillators:1 after:1 long:1 stripes:1 produce:4 coming:1 outbursts:1 drastic:1 law:1 data:1 parallel:3 efficiently:1 stress:1 short:3 branches:1 third:1 b1937:1 light:16 spectra:4 lines:36 correspond:1 ghz:10 lundgren:2 accelerated:1 so:10 correlation:3 cherenkov:4 solidly:1 order:6 wind:2 typical:1 barnard:2 produces:1 indeed:1 over:5 satisfied:2 outer:3 produced:2 overdensity:2 thermal:1 paper:2 pulses:16 argued:1 satisfies:1 still:3 avenue:1 its:4 before:2 observational:2 derive:1 longitudinal:2 thank:1 fit:9 reflection:1 interesting:1 striking:1 decreases:2 actually:1 ruderman:2 estimating:1 according:1 degrees:1 fig:8 pergamon:1 latitude:1 main:4 lies:1 ideal:1 non:2 smirnova:1 matches:2 propose:1 impossible:1 landau:1 band:8 effects:2 they:3 oxford:1 krolik:2 speculate:1 subluminal:3 discuss:4 association:2 above:2 accommodate:1 february:1 finite:1 purdue:1 always:2 university:1 drop:1 identified:1 kern:1 realistic:1 fringes:1 mode:36 reasonable:2 luminosity:1 found:2 mean:1 en:17 detect:1 populated:1 generation:7 ed:1 energy:9 gaussian:1 stappers:4 eb:1 frequency:49 ex:1 ez:1 our:9 transitions:1 eq:2 event:2 special:1 out:5 large:5 shown:3 factors:1 res:3 since:6 interference:1 detailed:1 research:1 particles:13 re:1 alison:1 reader:1 rn:1 induced:2 occurs:3 shows:1 doppler:2 passes:1 million:1 mechanisms:2 possibility:5 standard:1 divergency:1 approaches:1 complicated:1 york:1 4πn:1 estimate:6 companion:1 j0737:7 e2:1 interaction:1 created:1 locations:1 just:1 moment:2 times:4 motion:4 relativistically:2 derivations:1 assumed:1 hence:2 neglect:1 first:6 already:1 features:2 reconnected:1 waves:18 number:4 clear:6 2ωp:14 directly:1 type:3 pulsar:27 fluxes:2 open:6 george:1 ωp2:7 given:3 melikidze:1 exists:1 needed:1 introduction:1 leading:2 achieved:1 system:1 least:4 their:3 rates:3 observations:9 undergoes:1 iau:1 white:1 cycle:1 structures:1 store:1 gps:29 free:1 fraction:1 trapped:2 bouncing:1 relative:1 γmax:1 plane:5 transverse:7 technique:1 optical:2 pulse:5 somewhat:2 natural:2 translation:1 operates:1 than:15 population:1 detection:1 polarized:4 effective:1 showed:1 double:5 require:2 intensity:1 levels:2 appealing:1 contrary:2 aap:1 were:3 sec:3 inflow:1 enhancement:1 function:3 resistivity:1 kres:2 julian:10 mind:1 spectrum:2 auroral:1 discussions:1 simultaneously:1 qualitatively:2 need:2 seen:6 seem:3 null:1 ulmer:1 clearly:1 relatively:2 acceleration:1 lie:1 strength:1 angle:7 zero:1 depending:1 efficient:1 scott:1 isolated:2 mechanism:3 polarization:3 fitting:3 potential:3 absorbed:1 build:1 lyutikov:13 coincide:1 even:2 exactly:1 multiple:1 electric:5 populate:1 though:6 rhs:1 who:1 reach:1 cordes:1 falls:1 most:2 regular:3 propagate:1 connor:1 nothing:1 cap:1 why:4 appear:1 kc:8 astro:1 picture:2 operate:1 observation:1 windows:2 soviet:2 average:3 sometimes:2 steady:1 inferred:2 drifts:1 part:1 principle:1 pattern:1 velocity:2 typically:4 fitted:2 selection:1 spaced:4 phenomenon:3 show:5 brightness:1 supported:1 discovered:1 implying:1 radio:14 inconsistent:1 earth:2 rough:1 fine:2 find:5 priv:2 giant:13 slow:1 quoted:1 parameters:13 explain:2 specified:1 ngj:3 should:5 only:5 usov:2 onishchenko:1 pretty:1 factor:16 thompson:7 emitting:2 cosθ:1 local:10 oblique:1 do:1 dominant:1 cheng:2 klein:1 beams:1 hiss:1 overall:2 lucky:1 mission:1 beam:8 cannot:4 nearly:20 words:1 distinctly:1 during:8 secondary:1 well:4 processes:1 resolve:1 lat:2 densities:2 fields:2 arxiv:3 intervals:1 multitude:1 ωp:25 through:3 luo:1 requirement:2 set:2 alfven:1 observer:2 microseconds:1 hγ:1 sensitivity:1 maximum:5 observed:11 see:10 individual:1 radius:2 result:1 cyclotron:34 close:14 forthcoming:1 expects:1 kinetic:1 best:5 subject:1 surfaces:2 satisfying:1 vertical:1 ways:1 speed:4 review:1 nature:1 propagates:1 outside:1 rads:2 closed:30 between:8 tens:1 complications:2 problems:1 conditions:1 across:1 discovery:1 available:1 multiplied:1 terms:2 statistically:1 rotating:2 missing:1 importance:1 component:1 emitted:4 cut:3 comm:2 key:2 jets:2 modeling:3 come:3 inertia:1 both:7 cos:7 last:5 cot:2 many:2 region:10 decay:1 escape:1 space:3 propagation:4 receiver:1 exceeds:1 labelle:2 magnetosphere:8 cos2:2 duty:1 dipolar:1 presumably:2 cm:1 point:12 simple:1 overview:1 blandford:1 period:1 environments:1 except:2 active:1 pole:1 weatherall:3 associated:5 simpler:1 application:1 ryan:1 finally:1 tuning:1 second:1 addition:8 west:1 create:3 radiative:3 due:3 been:2 magnetized:1 much:10 damping:1 interest:1 basic:2 compensating:1 ph:1 estimated:1 lett:1 direction:1 describe:1 corresponding:4 treumann:2 longitudinally:1 photon:1 ray:1 gap:2 bulk:2 coherent:1 observe:1 angles:3 plasmas:1 general:1 spirit:1 present:6 case:12 intriguing:1 unlike:1 solid:1 might:1 value:9 will:6 reviews:1 near:10 harmonic:1 fiducial:2 applies:1 rotator:1 eclipses:1 property:2 guide:2 identical:1 cylinder:14 larger:5 orientation:1 equator:7 vi:2 thus:7 surprisingly:2 surface:1 iv:2 ii:4 experience:1 invalidates:1 ic:1 lesch:1 ransom:2 binary:1 different:8 develop:1 rotators:1 sensitive:1 perhaps:3 distributions:1 radiation:10 same:3 orders:2 shorter:1 unity:1 eilek:10 bands:29 rigidly:1 several:2 events:2 neutron:4 higher:7 development:1 fairly:4 closest:1 hand:5 viewing:2 edges:1 moving:1 nir:1 normalization:1 recent:2 lower:6 argue:4 integral:1 modes:14 charges:1 changes:1 igp:1 banded:6 more:2 components:3 dashed:1 quantitative:2 model:19 redistribution:1 arising:1 weakest:1 distances:2 responsible:1 proposed:5 being:2 resistive:1 nanoseconds:1 hybrid:1 detail:1 sources:1 bandwidth:1 spitkovsky:3 questions:1 integer:1 facts:1 momenta:1 scattering:2 note:6 now:1 density:37 absorption:3 photons:5 3039a:1 seems:1 parametrization:2 instrument:1 location:4 plasma:42 excited:2 real:1 saturation:2 around:2 depends:2 demands:1 shearer:2 papers:1 possible:1 corresponds:2 np:1 increases:2 makes:1 background:1 psr:7 turbulence:1 unique:1 occurring:1 loss:4 necessary:1 like:8 particle:7 follows:1 signal:1 popov:6 accelerating:1 specific:2 flux:4 mhz:2 either:1 gaps:1 inter:4 reasonably:1 jean:1 exceed:3 velocities:2 envision:1 luminal:2 resonances:5 contemporaneous:2 some:4 maxim:1 radians:1 streaming:1 growth:5 accelerate:1 sight:5 respect:4 duration:1 curious:1 possibilities:1 vol:1 dense:4 instability:2 broadband:1 electromagnetic:2 normal:4 exceeding:1 overlap:1 does:2 provides:1 assuming:3 propagating:3 gives:2 minimal:1 destroys:1 camilo:1 gruzinov:3 power:3 slight:1 radially:1 bn:1 each:1 continuing:1 perpendicular:1 how:4 redfern:1 intense:1 unconfirmed:1 about:1 actual:1 moffett:2 anomalous:17 chance:1 o:32 range:6 carrier:2 places:1 concentrations:1 importantly:1 l51:1 slightly:1 timothy:1 sensitively:2 equally:1 letters:3 presence:1 previously:1 poloidal:1 into:5 predictions:1 bound:2 three:5 down:2 pair:4 references:1 kondrat:1 proportional:2 theoretically:1 rad:2 shifted:1 uncertainties:1 additional:2 area:1 transfer:1 there:7 fast:7 dispersion:8 start:2 kuzmin:2 low:4 stars:2 jessner:2 astrophysics:4 was:4 naturally:2 hz:2 convert:1 form:2 differences:1 but:9 volume:3 expected:5 magnitude:4 related:3 mnras:4 line:10 trying:1 production:1 pull:1 consist:1 pulsars:12 inside:3 ωr:1 ωu:1 up:4 us:3 considered:1 below:6 converted:2 limit:2 fluctuations:1 distribution:5 ωb:46 similar:7 emit:2 expect:6 strongly:1 diverges:2 constant:1 implications:3 abstract:1 contribute:1 evidence:2 exist:1 periods:1 explains:3 trailing:1 physical:1 ev:1 beaming:1 no:4 index:2 percent:1 factorizes:1 occasional:2 field:62 narrowband:4 other:8 details:1 branch:1 becomes:3 department:1 orthogonally:1 thousand:1 machabeli:5 conclude:1 polar:2 star:2 energetic:1 excitation:6 models:2 durations:1 hankins:15 drift:5 variation:1 generated:12 important:3 peak:3 advances:2 astronomy:4 structure:10 implies:1 geometrical:1 using:1 assume:2 requires:5 required:6 together:1 uncovered:1 reports:2 mimic:1 lafayette:1 fact:8 time:2 reached:1 n2:2 backward:2 resolution:1
|
0705.2531.txt |@word neighbors:4 represent:4 concept:1 partial:1 consider:9 gq:4 limited:1 rev:2 graham:1 lack:1 unique:1 results:4 colbourn:1 illustrated:1 eds:2 woods:1 edu:3 consists:3 follow:1 gi:31 seemed:1 devoted:1 increase:1 certainly:1 severini:1 gla:1 advantage:2 graph:68 deterministic:2 presents:1 finally:3 critical:2 those:3 nodes:64 undirected:5 applied:4 amplitudes:22 g2:3 straightforward:1 g0:5 far:1 memories:1 rise:1 alter:1 splitting:1 electron:1 manipulated:1 every:2 mixing:1 li:1 uwa:2 difference:1 exact:1 partitions:1 entire:2 school:1 unlike:3 level:2 altering:1 positions:7 developing:1 solution:2 selections:1 large:5 discrete:2 vector:1 min:1 small:3 concluded:1 upper:6 employing:4 miller:1 ambainis:1 direct:6 surrounding:1 likely:3 oning:1 progress:1 growing:1 further:6 implemented:7 quite:3 even:1 established:1 what:1 stoc:1 sub:12 boca:1 giving:2 trivial:1 section:5 selected:1 http:3 remain:1 availability:1 current:1 consistently:1 causes:1 above:16 new:3 increasing:1 method:11 implementable:3 raton:1 outgoing:3 wavefunctions:1 simultaneously:2 notions:1 degree:1 respectively:2 presence:1 error:1 component:1 here:3 understanding:1 behaviour:1 desired:2 groups:15 address:1 represented:3 path:1 along:18 strong:1 table:10 implicit:1 change:2 knowledge:3 obtained:6 technical:1 recursive:1 inspired:1 larger:1 allows:2 commonly:1 suggests:1 twamley:1 simultaneous:2 resulting:15 published:1 action:6 implement:4 changes:2 involves:2 york:1 composed:1 diameter:2 via:6 useful:3 scales:6 requiring:3 namely:2 fig:6 sgi:1 visible:1 gordon:2 decrease:1 support:1 total:6 establish:2 bound:5 standing:1 derivatives:2 use:3 would:11 prove:5 distinct:4 examined:1 only:20 comparing:8 sample:1 noting:1 memory:9 taken:2 stage:1 type:2 theoretical:1 minor:1 more:11 duals:1 beyond:1 comparison:16 started:1 vl:2 operators:1 apparent:2 tested:9 vi0:1 reversible:1 particular:7 known:4 projective:3 cases:4 effort:1 circle:1 must:10 worst:1 high:2 account:1 isomorphism:15 ma:1 work:7 novel:1 labeled:1 grover:1 values:2 three:3 evolved:3 following:2 original:1 example:6 proof:3 control:1 compare:1 randomizing:1 mackay:3 wang:1 figure:10 give:1 process:4 permutations:1 purposes:8 implementations:3 involve:2 unbiased:4 numbers:1 allowed:2 counting:2 unordered:1 absolute:1 information:3 respective:1 six:1 requirements:2 g1:5 turn:1 provide:6 discussion:2 acts:3 occur:2 write:1 very:3 vital:2 r34:1 adjacent:6 compiled:1 significant:1 instead:3 constraints:1 undesirable:1 booth:1 mar:1 blocks:2 may:7 turing:1 after:12 containing:3 constraint:1 applications:2 produce:2 designed:1 ff:1 multiplication:2 end:2 data:3 repeat:2 efficiently:9 introduced:3 attempt:1 effective:4 spectra:1 yielding:1 rather:4 complexity:9 algorithms:13 decreasing:1 definitions:1 arrived:1 order:13 operations:2 restriction:1 breaking:1 spence:1 indeed:5 over:3 flips:1 produced:2 course:1 paper:2 including:4 differs:1 still:2 its:13 kempe:2 group:12 symmetry:3 termed:2 chosen:8 matrices:4 fix:1 solving:3 complex:2 fruitful:3 forms:2 distinguishing:2 systems:2 annual:1 potentially:1 luks:2 might:1 spreading:2 wavepacket:1 versus:1 non:19 usa:3 motivated:1 combination:1 matches:7 propose:1 gadget:1 practice:2 evolution:6 introduce:1 number:22 scaling:6 supercomputer:1 effects:1 they:15 symposium:1 producing:2 now:3 discuss:1 hopcroft:1 swapping:1 anu:1 represents:6 term:1 several:3 name:1 lies:1 quadrangle:1 always:1 university:1 labeling:11 establishing:1 2e:3 fields:1 nonetheless:1 found:2 repeating:1 polynomially:3 characterized:1 2k:12 individually:1 successively:1 significantly:2 gaussian:1 used:4 expect:1 entering:1 measure:3 quantum:75 our:2 operation:3 transitions:1 es:1 out:1 shown:6 matrix:10 space:16 electronic:1 since:10 interference:2 douglas:1 looking:1 combinatorial:1 acting:1 nominal:1 sch:1 supports:1 occurs:1 math:1 working:1 theory:3 interactions:3 easily:1 asz:1 birkhauser:1 diagonal:2 possibility:2 mapping:6 difficulty:1 reason:1 execute:1 initialize:1 remainder:1 milburn:1 additional:4 definition:4 pairs:18 interaction:1 connectivity:6 determining:1 could:4 similarly:2 maths:1 running:1 times:1 unitarity:1 length:3 v3:1 exponentially:2 leading:3 hence:14 uses:2 think:1 first:4 origin:1 major:1 isbn:4 probability:44 relate:1 flipping:1 rank:3 restrict:1 intuitively:1 utilized:1 choose:2 specifically:6 directly:7 enumerate:1 open:3 size:9 given:19 necessarily:6 checked:1 reference:23 needed:1 introduction:1 unknown:1 interact:2 system:11 least:3 eulerian:1 their:13 observations:2 handbook:2 siam:1 scheme:10 structures:3 final:1 listed:1 shifted:1 originating:2 preserved:1 grant:1 relationship:3 tool:1 exactly:5 serve:1 measurable:1 part:1 hope:1 western:1 simulate:1 congressus:1 disadvantages:1 believe:1 representing:3 than:8 distance:5 parts:2 third:3 showed:2 elegant:1 encompassing:1 split:1 require:1 tree:1 imply:1 ranging:1 recording:1 matter:1 states:6 classes:9 pairwise:7 amplitude:24 were:15 accessed:1 separate:1 outcome:3 solely:1 distinguished:11 extracting:1 exhibit:1 motivation:1 comput:5 tregenna:1 discussions:2 manner:1 unaltered:1 iii:2 seen:1 regards:1 constrained:1 any:14 viewed:1 paths:11 wilson:1 traditionally:1 zero:7 depending:2 efficient:7 self:2 note:6 instance:5 emphasis:1 edge:15 take:2 simplified:1 finding:3 so:6 subject:1 recursively:1 accuracy:2 towards:1 altered:1 though:1 simulated:1 correct:1 phases:1 algebraic:1 optimized:1 regular:17 connected:7 amongst:1 automorphism:4 representation:2 pair:13 adjacency:2 coin:27 measured:2 class:1 manifested:2 appear:1 cause:1 constructed:1 considered:3 clear:1 differ:2 vertices:10 graphs:106 proceedings:1 points:5 verlag:1 uniqueness:1 databases:3 physics:3 fact:3 walking:2 particularly:4 show:2 converse:1 random:13 contemporary:1 purely:1 attempts:1 attainable:1 scarce:1 analogue:2 d2:1 find:3 computability:1 based:8 proposed:5 parameters:11 implementation:13 nonisomorphic:1 distributed:1 behind:1 topological:1 theme:1 explicitly:1 candidates:1 developed:3 employed:1 constant:4 achieve:1 do:3 succinct:1 means:5 occuring:1 familiar:1 between:33 overall:1 trees:1 obtain:3 aim:2 cannot:5 words:4 propagated:2 combinations:2 becomes:1 areas:2 acm:2 regarding:1 consist:2 basel:1 brendan:3 arxiv:1 expansions:1 yield:1 consisting:1 twice:1 investigate:1 alterations:1 common:4 contain:1 switzerland:1 through:6 fixed:7 view:1 www:1 preserve:1 requirement:2 set:13 constructing:3 exists:1 achieved:2 physically:1 sensitivity:1 testing:6 evolving:3 integer:2 bounds:1 relative:6 depends:1 computer:8 result:3 fail:1 recently:1 best:1 situation:1 babai:1 fails:3 satisfying:1 ways:1 explored:1 currently:3 definite:2 consequence:1 tend:1 symmetric:1 qubits:2 state:11 future:1 various:3 closed:2 simplest:3 consecutive:1 geometric:2 approach:3 wide:1 available:2 kendon:1 terms:4 uk:1 extend:1 tables:11 initially:1 focus:1 however:19 rapid:1 fifteenth:1 key:2 fluctuations:2 distinguish:11 problem:13 thank:3 concentrated:1 both:11 essentially:1 providing:1 2n:1 many:4 taking:4 srg:7 equal:5 against:4 deeper:1 propagation:5 became:1 interesting:1 mean:1 whole:1 otherwise:5 arbitrarily:1 detailed:2 ci:2 alternate:2 point:3 simple:9 had:1 aspect:2 numerantium:1 walk:52 dimensional:1 simply:3 adding:2 consideration:1 polynomial:10 moreover:1 throughout:2 simpler:2 considering:1 pp:1 described:7 second:1 addition:7 arbitrary:2 due:2 been:8 appears:1 int:1 much:4 interest:5 certain:6 expected:1 ph:1 differently:1 direction:4 enable:1 corresponding:9 samples:2 sufficient:3 precision:1 cambridge:1 gadgets:1 gross:1 fl:1 present:3 aid:1 case:6 divisions:2 exception:1 p1:1 processes:1 subsets:2 pacs:1 solid:3 harder:1 royle:2 choices:1 will:20 sci:4 while:1 eib:2 promising:2 au:3 di:5 property:2 study:2 loop:1 girth:1 identical:7 planar:2 unitary:6 vol:1 characteristics:1 vj:14 vk:5 thus:1 them:8 iv:2 ii:5 need:3 regularity:1 itself:5 dual:1 sequentially:1 different:9 develop:1 baseline:1 evenly:1 acknowledgments:1 same:13 orders:1 another:1 periodic:1 quant:3 arguments:1 utilizing:2 grows:1 cs:1 difficult:3 status:1 calculation:1 extended:2 temporary:1 see:1 cubic:1 permutation:7 effect:4 inhomogeneities:2 v1:4 v2:3 edges:17 moving:1 circumvented:1 identity:2 cycle:2 break:1 lower:1 crc:1 possessed:1 no:9 flanagan:1 thought:2 patterns:1 without:4 solve:5 sets:16 firstly:2 position:6 arising:1 left:3 tarjan:1 nc:3 just:1 less:2 being:6 starting:2 valuable:1 identify:3 questions:2 summed:1 yet:1 previous:4 sampled:1 comparisons:6 candidate:1 ny:1 extra:2 seems:2 source:1 add:1 valid:1 perth:1 praeger:1 easy:1 extensive:1 structural:1 match:3 generalized:2 real:1 australia:2 around:1 isomorphisms:1 showing:1 possible:20 spanned:1 test:2 combin:1 press:3 using:6 sampling:4 gr:1 formal:2 modifications:1 necessary:2 like:1 particle:1 identifying:1 follows:1 valency:1 html:3 mit:1 specific:3 benefit:1 steps:18 either:4 δi:1 valence:1 stationary:1 hancock:1 mathematical:1 beneficial:2 right:1 methods:4 classical:30 people:1 veracity:1 successfully:1 some:18 back:1 fixing:2 added:8 examples:1 respect:10 multiple:1 superposition:2 separately:4 scale:5 affects:1 opposite:1 recorded:3 computing:1 totals:1 otschel:1 does:5 connecting:11 unit:1 provides:1 assuming:4 yields:1 propagating:1 biased:3 noise:1 performed:2 vertex:11 equivalent:12 each:50 continuing:1 illustration:1 notably:1 how:2 step:16 shifting:15 although:3 eiφ:1 cycling:1 properties:8 rearranging:1 integers:2 about:3 actual:1 certificate:5 most:5 column:1 freedom:3 n5:1 discussed:2 o:19 costs:2 practical:3 remains:1 range:1 involving:5 ensure:1 greatly:1 cycles:2 ox:1 own:2 propagate:1 addendum:2 transitive:4 block:4 vi:22 subset:1 computational:7 markovian:1 accompanied:1 measurements:4 into:8 within:7 obtaining:1 isomorphic:19 markedly:2 down:2 phase:32 appropriate:1 because:1 operator:17 factor:1 additions:11 coppersmith:1 approximately:1 often:4 whaley:2 log:6 conceivably:1 classically:2 combinatorics:1 assumed:1 strictly:1 there:13 question:3 approximate:1 long:1 why:1 describes:1 lov:1 quadrangles:1 way:1 was:3 cancel:1 nauty:1 complete:3 form:6 attempted:1 relaxed:2 differences:15 removes:2 but:3 repeated:6 construction:2 encoded:1 line:7 altix:1 true:1 considerable:3 longer:6 directed:5 partitioning:1 made:10 applying:1 evident:1 whether:4 variations:1 flip:2 until:1 record:1 growth:1 limit:1 syst:3 planes:3 disturbances:1 demonstrate:1 distribution:11 bdm:1 similar:7 average:4 strongly:12 ac:1 associated:15 joynt:1 up:2 defined:7 recognize:1 abstract:1 measurement:12 proven:1 general:10 loops:1 single:6 exist:3 walks:66 accounting:1 inf:2 distributions:19 proceeds:1 physical:1 again:4 compared:15 completeness:1 variety:8 dashed:2 whereas:2 wavefunction:1 when:2 detail:1 application:2 other:22 papers:1 np:4 mathematics:1 naive:1 conclusion:1 node:35 elements:4 generates:1 provided:1 time:16 problems:7 polynomials:1 expressing:1 important:6 bounded:1 allowing:1 shenvi:1 structure:1 building:1 independently:3 individual:1 faster:1 algorithm:50 assume:1 n4:9 required:12 em:2 together:3 indirectly:1 equivalently:2 ascertained:1 vi1:1 compete:1 incomplete:2 restricted:2 walker:1 n2:7 n3:1 requires:4 having:4 n6:3 n7:3
|
0705.2533.txt |@word similarity:1 l167:1 madsen:1 progressively:1 dynamic:4 plenary:1 four:2 entropy:15 forget:2 gamut:1 sahni:1 paris:1 djorgovski:1 seriously:2 under:12 hebecker:2 alternating:4 void:1 connects:1 every:3 prize:1 cause:1 solution:7 viable:4 vector:17 math:2 indices:4 enjoy:1 jhep:2 force:1 pragmatic:1 consistent:5 direct:4 approximation:2 second:17 rigorous:1 akbar:3 implemented:1 even:16 established:1 cosmologists:1 contributed:1 near:1 reheating:1 above:16 mintz:1 new:11 contributes:3 coefficient:3 evolving:1 simultaneously:1 never:2 here:7 atoms:5 governing:2 jcap:3 active:1 path:2 interpret:1 contraction:1 obtained:11 suitably:1 rests:1 study:5 approaches:7 ignoring:3 procedure:2 stressed:2 suitable:6 spacetime:38 appropriately:1 explained:1 plenum:1 objectively:1 hindsight:1 counts:1 total:3 unit:4 derivatives:6 would:4 negative:10 noting:1 call:1 therefore:4 survive:1 type:1 until:1 successful:3 curvature:4 hole:1 hold:3 qabcd:8 blocking:1 must:8 mm:1 work:7 rasanen:1 theories:3 mq:1 astrophys:14 my:1 example:19 impose:2 renormalization:3 indicated:2 give:4 relativistic:6 bennett:1 india:2 involve:1 degenerate:1 keep:1 end:2 hoc:3 provide:5 feature:6 far:7 nontrivial:3 significance:1 answer:2 ordinary:1 description:20 thermodynamic:11 earlier:5 lab:1 ostriker:1 wrong:1 summarize:1 law:2 constants:7 elusive:1 effective:14 yarom:1 snls:2 maintain:1 green:1 ρnr:2 enter:4 order:23 backdrop:1 interpretation:3 zee:1 over:5 vary:8 spergel:2 bounding:3 satisfies:5 before:2 surviving:2 personal:1 fix:1 writing:3 fig:2 hidden:1 generalised:1 them:9 affected:1 combination:5 repulsive:2 effects:3 they:5 mimicking:1 represents:1 aguirregabiria:1 shao:1 reasonable:4 each:5 went:3 side:1 lasting:1 schemes:1 fairly:3 series:2 displacement:4 cmb:1 used:6 extract:1 driving:2 restricted:1 dewitt:3 crucial:6 mason:1 particles:2 re:10 millennium:1 γabc:1 engineer:2 abbott:1 linear:6 associate:1 free:3 standard:10 necessarily:1 formation:2 movahed:1 detecting:1 incorporates:1 enormous:1 nesseris:1 starts:1 cosmic:4 quintessence:7 corrections:7 already:1 features:4 rank:1 restrict:3 adopted:1 another:6 electronic:1 illustrate:1 longwavelength:1 likely:4 similarly:1 rong:1 approximately:2 perturbations:5 too:3 variational:3 ashtekar:2 collapse:2 extremising:2 zeroth:1 2ah:1 somewhat:3 peculiar:4 distance:1 showed:1 approximations:1 zero:10 matter:47 classes:1 silly:1 tonry:1 δda:2 powers:1 perturbative:3 rab:1 mind:1 spectrum:1 manner:11 seen:2 seem:1 tells:2 contents:1 ray:1 forced:1 polarski:1 latter:2 rath:1 visser:1 blue:1 though:3 hui:2 boltzmann:1 sethi:1 ra3:3 steinhardt:3 ra1:2 phase:19 acknowledgements:2 observation:1 calculated:2 points:2 principle:17 sum:2 came:1 dover:1 incorporate:1 random:1 infrared:2 attempts:6 gauge:3 solutions:3 calculable:1 d9:1 civita:1 subtle:1 analogue:1 july:2 spite:1 explain:2 41p:1 geodesics:1 rich:1 integrate:1 meng:1 do:10 dm:1 establishes:1 dh:5 df:3 dd:17 de:5 fluid:2 da:2 dv:2 ds:2 unfortunately:2 pearson:1 covering:1 fields:13 4πg:1 bag:1 carneiro:1 explanations:2 zalaletdinov:1 reference:1 phenomenologically:2 generally:1 emergent:5 observed:14 depends:7 radius:16 result:12 sundrum:1 best:2 tensor:34 away:5 fulling:1 symmetric:3 simplest:4 conceptual:6 approach:27 terms:25 extend:2 nature:16 herrera:1 weak:1 however:6 science:1 wu:2 rijkl:2 wq:1 modeling:1 suggested:1 received:1 essentially:4 demanded:2 casimir:1 contribution:2 argue:2 disappears:1 brustein:2 polynomial:1 oblivious:1 conference:4 decoupling:2 basis:1 three:5 been:9 much:1 frw:1 expected:2 topics:2 derives:1 life:5 deeper:1 quantities:2 spin:1 rigorously:1 aip:3 remaining:1 symbolically:1 suppose:3 leaves:1 characterizing:1 a21:2 seven:1 played:1 phenomenological:2 ir:1 iv:2 ii:3 ganeshkhind:1 conf:1 garay:1 confirmed:2 suggest:3 make:8 linked:2 complex:1 quant:4 dimensionless:2 several:8 grows:2 independent:2 numerical:1 hand:3 antoniadis:1 dolgov:2 unimodular:6 potentials:2 a2m:9 weakly:1 kept:1 scenario:1 settled:1 kazanas:1 claims:1 paradigm:10 just:13 shapiro:4 alimi:1 identify:6 spherically:2 yet:1 previous:1 adding:5 enters:1 candidate:3 had:1 easy:2 polon:1 breaks:3 kaplan:1 possible:17 possibly:2 vibrations:1 background:5 clustered:1 unique:3 singh:7 advanced:1 specific:2 b475:1 follows:3 right:2 people:2 stot:3 advertise:1 neutrino:1 proceeding:1 electromagnetic:1 myung:2 comments:2 contributing:3 asking:1 linearly:2 bagla:6 arbitrary:10 translated:1 shifting:1 corr:3 post:1 notation:1 properties:1 peet:1 coral:1 o:4 essential:1 plus:1 horizon:14 d65:1 considerations:5 soc:4 presence:1 obtaining:3 bound:3 andrianov:1 down:1 acad:1 raises:1 sov:1 cones:1 unambiguous:1 existed:2 initial:1 knowing:1 approximate:2 class:21 editor:1 way:6 astrophysics:1 was:7 gij:5 lowest:7 form:12 seshadri:2 attempted:1 becoming:1 denoting:1 ford:1 feinstein:1 heat:1 true:2 wρ:1 supp:1 prevents:1 inside:3 gurbatov:1 examples:1 phil:1 ln:2 evidence:7 reenter:2 simulations:2 exist:5 regime:1 ni:15 no:13 na:59 nb:16 nc:1 when:18 vanishes:1 reality:1 role:5 papers:4 test:2 picture:2 a17:1 peebles:1 connect:1 models:20 a18:1 variable:5 3h02:1 lm:9 faster:1 assume:8 governed:1 capozziello:1 time:21 push:1 serious:3 restored:1 concept:2 gables:1 varying:6 l11:1 leads:7 roy:7 computation:3 battle:1 remarkably:3 primer:2 tenable:2 depend:5 summarises:1 summarised:1 monotonically:1 analogous:5 sorkin:1 rabcd:7 string:1 broadly:1 zhang:3 could:5 gravitate:1 none:1 dokl:1 choice:3 bjorken:1 normalise:1 exact:3 cool:1 jha:1 riemann:5 solves:1 level:6 did:1 irreducible:1 guo:1 dia:1 leave:1 discrete:1 settle:1 excellence:1 gut:1 frolov:1 der:1 upper:1 occurrence:1 sign:2 appear:2 nsur:5 favour:1 current:9 annals:2 suspect:1 international:2 understanding:3 shafieloo:1 address:7 alone:1 appears:2 change:2 institute:1 shift:12 vectors:6 suggestion:1 usually:3 decouple:1 weird:1 useful:2 extra:2 δdb:1 merely:2 marked:4 planck:8 wang:4 d72:2 nuffield:1 d70:1 hierarchically:1 d74:1 d75:2 covariant:4 positive:2 suppl:1 gibbons:5 alcaniz:5 going:1 lmatter:1 criteria:1 overviews:1 theoretical:7 today:2 introducing:1 liddle:1 sharing:1 duality:1 apparent:1 clue:2 appendix:4 abramo:1 cases:4 volovik:4 reviews:2 cai:3 values:1 achieve:1 believed:1 making:2 trans:1 grained:2 want:4 figure:8 predict:1 arise:4 sample:7 buchert:2 allowed:2 occur:1 requirements:1 discussion:5 write:3 immune:1 criterion:2 fourth:3 d69:2 puri:1 parameter:2 displacements:2 designer:1 substructure:3 may:2 λgab:5 applications:1 levi:1 explored:1 data:14 stress:10 natural:17 dynamical:14 sectors:1 explicit:6 cosmology:9 accelerated:3 ωdm:7 so:20 sn:7 halos:1 talk:1 typical:1 wavelengths:1 breaking:1 indeed:3 perlmutter:2 years:1 course:7 statistical:4 b301:1 still:7 tendency:1 observational:7 derive:1 group:3 thank:1 how:9 interesting:3 coordinates:1 forms:5 window:1 defintion:1 maia:2 constitutes:1 decades:1 non:16 thereby:3 processes:2 sooner:1 scaling:8 hamilton:1 half:2 now:16 discuss:6 halo:1 gbc:1 term:38 holographic:5 equality:1 drop:1 possibilities:3 instability:1 el:1 en:1 ed:2 ef:3 gaussian:1 inhomogeneous:2 astrophysical:2 wavelength:10 ev:1 eq:31 ep:1 gonzalez:2 emerges:1 shown:9 accomplish:1 space:4 lagrangian:23 looking:1 cobe:1 contained:2 suggesting:1 correct:9 shows:11 after:5 theory:60 derived:1 contain:1 divergence:1 possibility:4 quite:2 qi:1 complicated:1 demanding:1 care:2 pune:1 language:1 transition:1 motion:12 turn:1 hanany:1 massive:1 routes:1 first:28 origin:1 xi:1 symmetry:5 hλ:4 variables:7 xa:2 xf:1 simplified:1 directly:2 impossible:3 open:1 size:4 wilczek:1 interchange:1 given:28 l4p:5 silent:1 unruh:4 indicate:1 mukhopadhyay:1 draft:1 white:1 structures:1 gives:3 schwarzschild:1 eliminates:1 transverse:3 quan:11 deceleration:1 x2:3 eliminated:1 x1:3 representing:1 than:15 coefficients:2 wide:3 third:3 require:7 legacy:1 were:3 bauer:2 rubakov:1 addressing:1 xin:2 lazkoz:3 correction:3 argument:1 generalization:1 say:11 any:25 allemandi:1 nityananda:1 upgrading:1 ideas:5 note:1 ideal:1 potential:7 take:17 timelike:3 objective:1 sriramkumar:2 switching:2 l110:1 grande:1 trace:6 normal:6 probed:2 friedman:2 algebraic:2 satisfying:1 importantly:1 successive:1 baryons:3 probes:1 forever:2 especially:2 considered:3 average:3 later:1 steady:2 drive:1 ohta:1 readjust:1 quantity:3 precise:1 drastically:1 show:5 balbi:1 aend:1 feng:1 ratio:1 written:1 analytic:1 only:18 explicitly:4 black:1 developed:1 extremum:1 gev:1 get:11 inconclusive:1 rept:5 cannot:16 invariant:11 aλ:4 ωde:2 bardeen:1 gen:10 prime:1 regarding:5 summary:2 mapped:1 choudhury:5 ignored:3 physically:2 relative:1 wonder:1 surfaces:10 fails:1 invoked:1 review:6 label:1 enough:4 between:19 geometric:3 killing:1 concentrate:1 multiplier:2 analyzed:2 jetp:1 σl:1 many:2 region:16 2pb:2 dated:1 expression:6 among:2 stretches:1 insist:1 stretched:2 lagrange:2 cancel:2 associated:9 erdem:1 branes:1 considering:1 unusual:3 tuning:3 capable:1 locally:2 detected:1 workshop:1 tsamis:1 observable:1 6h:1 photon:1 andrew:1 observers:2 coherently:3 careful:1 irrelevant:4 spirit:2 those:9 case:23 invoking:1 pcd:1 situation:1 conformal:1 coupled:1 metric:35 discrepancy:1 couples:2 canceled:1 bias:1 ernet:1 helium:4 zhuo:1 d14:2 d15:2 par:1 l53:1 develop:1 l57:1 same:13 shifts:3 epoch:6 arguments:2 physical:3 status:2 extended:1 stefancic:3 singapore:1 constraining:2 running:1 arose:1 entanglement:1 invariance:4 totally:3 modes:1 macro:2 without:7 solve:6 components:3 zhong:1 coordinate:1 model:14 dimension:3 l107:2 wald:4 generalisation:1 being:6 captures:1 valuable:1 unclear:2 gdd:2 aspect:2 differentiation:1 captured:2 photons:1 seems:5 nojiri:2 lett:38 jassal:2 extensive:1 eigenstate:1 momentum:13 real:2 gd4:1 around:2 early:5 inflation:13 ce:3 vacuum:25 using:13 moreover:1 ruled:1 particle:3 identifying:1 desitter:13 reduces:3 facing:2 unclustered:2 integrals:2 always:1 stationary:1 satisfactory:1 lbulk:2 kolb:1 specified:2 duration:4 root:1 nanometer:1 reasons:4 a10:1 provided:3 ellis:2 accidental:1 bento:1 putter:1 qiang:1 extensively:1 conservative:3 critical:3 exit:2 provides:6 barris:1 process:2 arrow:1 power:3 equivalent:4 ltot:1 calmet:1 broken:1 padmanabhan:54 found:4 raul:1 lyth:1 chitre:1 discussed:3 generated:2 act:1 ot:1 cambridge:4 redshift:3 λtot:3 references:3 microstructure:3 determine:7 einstein:31 operator:2 conceptually:2 technically:1 aref:1 schrodinger:1 hep:45 log:2 area:18 normalised:8 assumed:1 there:25 dimopoulos:1 dispersion:1 extremizing:1 low:8 brazilian:1 bubble:1 iucaa:2 survives:2 relic:6 complete:1 newtonian:3 amongst:1 principles:2 mnras:13 amplify:1 ωr:2 ωi:1 taught:2 operationally:1 ωb:2 regimes:1 strongly:4 ab:15 ad:4 af:4 ai:5 ah:3 ak:1 describe:2 deep:2 general:30 aq:3 loops:1 together:1 av:1 spends:1 sarkar:3 again:6 field:46 wetterich:1 valid:1 parameterizations:1 massless:2 immunity:1 briefly:2 separate:1 a1:5 a0:2 a3:4 a2:8 bounded:1 a4:3 observables:1 tackle:1 schunck:1 mimic:1 mass:5 resolution:1 strings:1 consider:9 scalar:16 c2:2 follow:1 expressions:1 albrecht:1 th:47 norm:6 worse:1 very:11 percival:1 etal:1 frederic:1 l5:1 ultraviolet:2 decide:3 ius:1 difference:2 condition:8 treating:3 mielke:1 hamiltonian:4 t0:2 large:10 adjust:1 small:8 pramana:2 20th:1 past:2 rate:3 perspective:5 further:12 imposing:1 wmap:5 what:14 nonlinear:3 sub:1 sun:1 section:5 brief:1 diaz:2 fractional:1 edited:2 full:5 component:4 behaviour:1 b2m:11 ansatz:1 directions:1 strong:2 equations:39 antisymmetric:2 allows:5 prior:1 amount:4 action:46 skepticism:1 via:3 cardone:1 family:1 smat:2 viz:2 establish:1 conventional:11 proceed:4 distinct:2 perivolaropoulos:2 finally:2 comparing:1 nucl:2 taken:2 more:27 flat:1 israel:1 particular:1 known:8 objections:1 linder:1 keeping:5 tachyonic:4 recall:1 equation:16 det:3 remain:5 learn:1 abandon:1 scherrer:2 dec:1 history:1 transcend:1 compare:1 rosenfeld:1 cosmological:112 ann:2 states:2 sphere:2 numbers:3 sense:7 concordant:1 species:1 axis:1 copeland:1 information:5 needs:6 rather:9 acts:2 srinivasan:2 acta:1 explains:1 mould:1 tried:1 inflationary:12 singularities:1 different:22 plane:1 mahajan:1 verified:1 horizontal:1 geometrical:4 shortcomings:1 dragon:1 pabcd:2 negligible:1 specifying:1 fundamental:6 help:1 hierarchy:1 essence:1 gauged:2 thermal:7 paper:1 through:11 signs:1 existence:5 suffer:1 its:16 gannouji:1 rapidly:1 energies:2 d34:1 solving:1 pab:10 starobinsky:3 actually:3 late:4 absence:3 paranjape:4 microscopic:16 systems:1 radical:1 might:1 supersymmetry:2 yi:1 cst:1 somebody:1 ya:2 noticing:1 geodesic:2 oxford:1 easily:2 2v:2 fully:2 presented:2 micro:3 radial:1 dominating:2 characterized:5 2k:2 needless:1 generation:1 energy:114 reduce:1 idea:4 obtains:2 quantum:27 beyond:3 event:7 really:1 hartle:1 since:25 denotes:2 dominated:7 denoted:1 issue:11 occurs:2 reason:3 imagine:2 ask:2 generate:1 definition:1 bring:1 exponentially:1 undergo:1 integrand:1 major:1 relate:2 number:4 done:4 construct:7 unexplained:1 perturbation:8 temperature:7 srednicki:1 introduction:1 leading:2 least:4 assumption:1 expand:1 calculations:1 scheme:1 observations:20 relationship:2 part:7 authors:1 translation:2 believe:1 kind:1 determines:4 hirata:1 horizons:15 determined:5 yoneya:1 treated:1 motivation:3 ρde:5 contest:1 null:6 orders:1 reiss:2 jour:6 depending:1 pa:2 self:1 cropped:1 preuss:1 liu:1 useless:1 analogy:3 kim:2 play:3 alleviate:1 esoteric:1 measures:1 most:21 significant:1 nothing:1 bernardis:1 measured:1 stands:1 rapetti:1 ka:2 constructed:1 kd:1 clear:5 popularity:1 focussing:1 physica:1 electrons:2 exp:3 velocity:1 physics:6 sector:6 particularly:1 phenomenon:9 gold:2 smoot:1 relation:4 carefully:1 fine:5 find:5 depended:1 parameters:2 buchmuller:1 pretty:1 factor:8 dominant:2 invoke:2 dependent:6 fabris:1 actions:2 closely:1 combinations:1 during:5 freedman:1 continuum:3 arxiv:7 set:1 achieved:2 undergoes:1 plausible:2 see:33 individual:1 close:2 theoretic:1 fang:1 currently:3 won:1 probably:3 available:5 recently:1 2m:8 attention:2 sola:5 vanishing:1 distinguish:2 observer:1 both:11 a104:1 paradigms:1 last:12 annual:1 connection:3 became:1 context:5 mean:5 arbitrarily:3 munshi:1 point:13 simple:7 lagrangians:6 asymptotically:1 corresponds:2 community:1 coincidence:2 dimensional:6 alabidi:1 simply:1 neupane:1 ensures:1 pq:1 described:9 perspectives:1 thermodynamics:5 acceptance:1 due:5 pb:3 pc:2 describes:3 coarse:3 anisotropic:1 ph:76 pi:1 important:5 generating:1 gas:1 covariance:5 else:1 gao:1 understand:6 demand:2 gac:1 gab:29 intriguing:1 look:3 exponential:1 solid:11 finelli:1 while:20 replaced:1 reliably:1 chimento:2 computed:3 studied:1 century:1 averaging:3 xian:1 apjs:1 itself:3 confining:1 ρuv:8 aspects:5 vanish:1 virtually:1 qab:2 rda:1 composition:3 higher:6 literature:8 bonus:2 comprehensive:1 levels:2 uses:2 ωtot:2 yuan:1 recent:12 dark:36 ratra:1 kanekar:1 analysis:3 obviously:2 axenides:1 solids:6 machinery:1 normals:3 mon:3 guang:1 lde:4 rindler:2 λg:2 atomic:2 questions:1 world:1 alternative:3 λm:7 cut:3 conclusions:2 source:11 cue:1 theorem:1 relevance:2 mod:20 transformation:2 generalized:1 bij:1 defies:1 big:1 couple:7 8πt:2 quest:1 logical:1 bit:2 8πg:4 helpful:1 apj:1 imposed:3 sakharov:1 admittedly:1 manifest:1 ignore:2 popular:3 summarise:1 mathematical:2 often:1 some:28 back:1 b4:5 understood:5 accelerate:1 b2:7 b3:5 δba:4 ijk:6 narasimha:1 hannestad:1 scale:23 describing:3 l16:1 shall:5 integration:8 per:5 ishibashi:1 eliminate:3 prog:2 proc:1 either:1 rui:1 ba:4 bb:1 δb1:3 confidence:4 infra:1 dictated:1 hilbert:1 anything:1 constraint:1 range:6 hatched:2 consequently:1 block:1 cutoff:4 calcagni:1 into:3 within:3 elasticity:5 appropriate:2 proportional:2 godlowski:1 ρvac:4 statistics:1 span:1 brainerd:1 question:6 lond:1 long:12 sections:1 considerably:1 gauss:2 flawed:1 properly:4 link:2 atom:3 line:3 gurzadyan:1 considerable:2 raising:1 gravitating:1 characteristic:1 uv:3 up:6 us:17 uk:1 fluctuations:38 similar:12 called:4 constant:128 defined:7 chao:1 single:2 ingredients:7 woodard:1 formalism:1 friedmann:1 tentative:1 priors:1 coded:1 wasserman:1 seljak:1 explaining:2 excitation:1 problems:6 meaning:1 lenz:2 sides:1 structure:22 dimensions:3 implies:3 required:2 graining:1 broad:1 requires:5 having:3 once:6 essay:2 gt:1 partial:1 gr:56 illustrates:1 results:9 fluids:1 ge:1 broader:1 go:3 gl:1 contributions:1 issues:3 compact:1 δcb:2 excluded:1 dramatically:1 indicating:1 probe:4 johri:1 implicitly:1 account:1 wave:2 manipulated:1 telling:2 eva:1 try:1 interpolating:2 smaller:6 foliating:1 l2p:3 narlikar:2 d7:1 incidentally:1 manipulating:1 dynamics:8 acid:1 d4:3 scientific:1 index:1 letts:9 giving:3 3p:7 expressed:5 cell:2 3h:4 cao:1 cmbr:8 justification:2 led:1 degree:4 leh:1 respectively:2 spacing:1 odintsov:3 following:10 explore:1 others:1 l29:1 hkd:1 extreme:2 settling:1 involved:3 larger:2 leaving:1 suggests:1 resulting:5 rdb:1 makes:5 showing:1 bertolami:1 scales:28 manage:1 expect:5 lanczos:23 summation:1 lima:3 use:10 remains:4 pedagogical:2 next:6 few:2 conley:1 themselves:1 formally:3 started:2 becomes:5 normalized:2 iii:2 δca:1 topic:1 ρc:2 ρi:1 decouples:3 challenge:4 averaged:1 reproduce:3 lorentz:1 obvious:8 universe:58 drops:2 proof:1 abcd:9 corpuscular:2 calculation:3 high:5 assumptions:1 something:3 tab:40 gǫ:1 zeldovich:1 varied:7 siz:1 holds:2 regions:1 located:2 varies:1 instead:1 bonet:1 stock:1 tension:1 blocks:1 realized:1 discusses:1 light:1 lines:1 gravitons:2 lλ:28 produces:1 astronomical:1 insight:2 interpreted:3 mentioned:3 galaxy:1 perfect:1 cremades:1 le:1 efstathiou:2 decay:1 chosen:2 2λm:3 relativity:10 underdense:1 li:4 b1:4 degrees:35 choose:3 lp:36 derivative:5 defining:1 greater:1 anchored:1 gauging:1 das:2 emphasises:1 b574:1 coleman:1 february:1 lgrav:4 university:3 identified:1 sufficiently:1 magnitude:3 l2:1 l3:3 l1:4 constraints:3 homogeneous:2 doing:2 related:14 subdominant:2 measure:4 our:17 transitions:1 nonlinearities:1 special:7 out:10 astier:1 rev:62 ren:1 mottola:2 rel:9 lecture:2 ref:9 integrated:1 red:2 maintains:1 galaxies:1 ρir:8 completely:7 ρin:1 york:4 hubble:16 interaction:4 shiu:1 geometry:2 determining:4 route:1 times:5 length:14 produce:1 hence:6 finest:1 bonnet:2 barr:1 precisely:3 myths:1 fair:1 unknown:5 extrinsic:1 relations:1 their:2 b624:1 schwarschild:1 final:2 shell:10 explanation:7 regards:1 l2λ:5 outline:1 quantitative:1 succeeded:2 limiting:1 claim:1 amplitude:2 providing:2 steer:1 exhibit:2 symmetries:6 fluctuation:3 unlikely:3 sen:3 need:16 curved:1 constrained:1 clearly:5 viewed:2 acceleration:6 gravity:82 mechanism:1 jacobson:1 polarization:1 δna:2 δnb:5 detector:4 linde:1 accuracy:1 sequel:1 unless:3 bombelli:1 intrinsic:2 why:8 astro:71 proceedings:3 mechanical:1 normally:3 underdensity:1 fact:12 affair:1 emerging:2 albert:1 rotating:1 purely:4 noyes:1 unconnected:2 longer:1 decade:1 based:17 baryonic:1 should:20 he:1 local:5 hope:3 move:1 familiar:2 flattens:1 d50:1 words:2 tba:9 wise:1 doubtful:2 evolution:3 densities:3 lsw:1 grav:24 tuned:2 qa:5 qc:52 aef:3 hλ2:4 shi:1 fixed:4 gravitational:29 view:2 predictive:1 lovelock:23 exists:1 variations:2 frame:1 operates:1 computer:1 ǫc1:2 violet:1 acquires:1 phases:9 interacting:1 tend:1 state:8 difficulties:3 correctly:1 progress:2 boundary:5 comparable:1 ability:1 supernova:3 reproduces:1 2λg:1 key:8 tensors:5 undetermined:5 restrictions:1 interpretations:1 limits:2 qft:1 taking:6 jia:1 equal:3 attributed:1 etc:9 otherwise:1 comment:1 detailed:1 relevant:14 huang:2 cm:10 poissonian:1 quadrilateral:1 cd:22 gong:3 respect:7 bbn:1 addition:1 ghodsi:1 responds:2 bianchi:1 treat:4 hawking:7 certain:5 define:2 faced:1 determinant:3 arises:13 corresponding:6 sufficient:3 bulk:29 astron:8 c3:2 prescription:2 c1:7 present:4 survey:1 unlike:2 ap:10 contexts:1 nd:1 value:29 will:76 ultra:1 rba:1 layer:3 gorini:1 formulation:1 thus:4 centenary:1 surface:26 helped:1 against:1 dual:1 capture:1 denial:2 generic:1 radiation:8 cross:1 16πg:3 unity:1 parts:1 units:2 finite:7 outlined:2 difficult:6 guises:2 absorb:2 upon:1 effect:8 phy:1 introduce:2 infinite:3 identity:2 concordance:2 off:3 nevertheless:1 sheykhi:1 modeled:1 well:14 redshifted:2 sets:3 position:1 arising:5 usual:9 sourced:2 less:1 obtain:12 tcd:1 antisymmetry:1 macroscopic:4 rapid:1 density:38 wei:1 guts:1 guth:2 lattice:4 add:1 attractive:3 barrow:1 identical:1 definitive:1 spatial:3 increases:2 know:3 press:3 semiclassical:5 necessary:2 like:11 δs:2 accelerating:2 loses:1 works:1 accessible:1 indications:1 because:13 qed:1 classical:7 sequence:2 phenomena:2 algebraically:1 therein:1 growth:1 proper:3 supportive:1 iyer:1 happens:2 subramanian:1 lead:23 demonstrates:1 avoid:1 does:11 economical:1 assuming:2 demonstrated:1 noise:4 journal:1 pp:2 expansion:21 pressure:6 host:3 variation:5 stage:2 about:9 carried:1 extension:1 commutator:1 freedom:39 introduces:3 dependence:1 recognized:1 carries:1 seeds:1 introduced:5 equally:1 own:2 letters:1 h0:1 functional:10 getting:1 included:1 square:2 promise:1 tiny:1 mere:1 van:1 additional:1 elastic:3 snyder:1 quadratic:2 crucially:1 rcd:1 hooft:1 naturally:3 function:15 eab:7 but:29 hu:2 volume:7 hk:1 construction:1 gain:2 highest:1 partially:1 made:6 compute:1 whether:5 cells:5 smooth:2 sami:3 below:3 exerts:1 limit:14 problem:21 mechanics:4 int:13 ki:3 contribute:1 meaningless:1 eric:1 scis:1 compared:4 variety:2 detail:1 virtual:3 other:14 details:1 baum:1 theor:2 zhou:2 inherently:1 astronomy:1 droplet:1 coupling:12 bcd:1 starting:1 original:1 ρq:1 portion:1 elizalde:2 renormalisable:1 rep:1 simpson:1
|
0705.2534.txt |@word represent:2 consider:1 rev:11 results:1 integration:2 leads:2 whose:1 depend:1 fellowship:1 graph:1 program:1 th:2 alternating:1 4ek:5 amplitudes:1 very:1 bjorken:1 entire:1 level:2 t2:9 occurs:1 large:3 vector:1 gauge:1 application:3 work:1 ten:1 approximation:1 zero:21 naik:1 linear:1 even:1 index:1 b685:1 brief:1 new:1 method:4 satisfy:1 full:3 ibid:5 here:6 path:2 drell:1 obtained:4 instituto:1 antisymmetric:1 institute:1 study:2 studied:1 allows:1 action:2 fourier:3 makes:1 involves:1 explained:1 integrations:1 tools:1 propagators:1 d72:1 d73:2 use:5 d71:1 takes:2 usa:1 d75:1 distinct:1 next:1 nucl:2 therefore:3 m2:5 diagrams:1 more:1 bidhannagar:1 becomes:1 labelled:1 known:2 equation:1 fµν:2 cancellations:1 theories:1 values:3 temperatures:1 example:4 fapesp:1 figure:1 do:2 process:1 relativistic:1 india:1 purposes:2 high:1 numbers:1 arise:2 end:1 acts:1 chemical:20 how:5 nontrivial:1 frenkel:9 simplicity:3 d74:2 description:2 nishijima:1 may:1 earlier:1 unsubtracted:1 plane:1 fg:1 meaningful:1 response:1 changes:1 mψψ:1 sp:1 d60:1 writ:1 representation:8 first:1 over:2 course:1 thermal:25 paper:1 through:6 benjamin:1 its:3 before:2 write:1 derive:1 symmetry:2 imf:1 chosen:1 complex:1 forms:1 absence:1 distinguishing:1 fig:2 derivative:1 them:1 combination:1 cutting:1 subtraction:1 they:1 half:1 now:5 ther:1 represents:3 b374:1 university:3 identified:1 2ek:4 simplified:1 d45:1 ei:1 directly:4 ek:101 series:1 energy:30 hard:4 combining:1 quantum:2 relates:2 t1:9 eq:1 ep:13 out:3 shown:1 matrix:1 space:5 furthermore:3 since:2 lagrangian:1 denotes:2 re:2 hill:1 pendent:1 cause:1 integrated:2 shows:1 bellac:1 foundation:1 theory:10 maintains:1 ısica:1 standard:2 van:1 saha:1 espinosa:4 thing:2 ish:1 assign:1 integrand:4 origin:2 simplifies:1 features:1 probability:1 upper:1 variables:1 powerful:1 number:1 restrict:1 done:2 another:1 given:1 temperature:49 πe:1 relations:9 mal:1 πr:19 acknowledgment:1 fermions:2 shell:1 observable:1 part:19 b334:1 b337:1 b339:1 believe:1 determines:1 unfortunately:1 amplitude:4 tion:1 rewrite:1 generalization:1 manner:1 bedaque:1 seen:2 null:1 any:3 generalizes:1 strength:1 rochester:2 self:28 polarization:1 decomposing:1 potential:19 uν:12 simplify:1 involving:1 phase:1 acknowledges:1 subtracted:1 clear:1 doe:1 graphs:1 normally:1 fact:3 show:2 supported:1 iǫ:11 relation:13 ashok:1 knowledge:3 iep:3 should:1 analytic:2 only:10 pointed:1 dn:1 abelian:1 dominant:1 notation:3 dependent:6 de:4 da:1 ones:1 report:1 aν:4 fields:1 arxiv:1 binosi:1 yield:1 fixed:2 redefine:1 set:1 observed:1 see:3 result:7 dµ:1 πe2:1 clarifies:2 brazil:2 tensor:2 nuclear:1 fulbright:1 justifies:1 d59:1 various:2 closed:2 between:1 approach:1 terms:1 nature:2 confusion:1 however:3 le:1 comm:1 braaten:1 tensors:1 wx:1 both:3 limits:1 many:1 decay:1 retarded:27 contribution:1 point:2 simple:1 effective:3 corresponds:1 dimensional:2 anti:2 cancel:1 suppressing:1 described:1 would:1 been:2 much:1 combined:3 interest:2 field:6 generating:1 arises:1 corresponding:3 reaction:2 suppress:2 photon:12 external:3 present:2 case:3 p1:12 pacs:1 appearance:1 value:2 will:8 while:1 loop:8 vectors:1 non:2 jaxodraw:1 im:13 fermion:3 different:1 grant:1 divergences:1 paulo:2 rules:1 parts:2 arguments:4 finite:22 used:3 singapore:1 effect:1 internal:4 potentials:1 recent:1 reflection:2 ne2:2 well:6 inherit:1 components:1 calcutta:1 model:2 effects:1 das:10 obtain:3 actions:2 bµ:1 identify:1 questions:1 world:1 momenta:2 scattering:4 yet:1 note:7 density:1 setting:1 transformed:2 lett:1 channels:3 profitably:1 transformation:1 momentum:5 real:4 easily:3 relating:1 absorptive:8 helicity:1 background:1 press:2 using:2 mod:1 follows:2 reduces:1 manifest:2 miraculous:1 arbitrary:1 become:1 works:1 2ep:4 because:3 qed:7 some:1 understood:2 proper:1 ourselves:1 nonzero:5 dimensions:4 lead:2 demonstrates:1 extensively:1 contributing:1 does:1 scientific:1 silva:1 step:1 although:1 mcgraw:1 imaginary:7 properties:1 carried:1 tracing:1 dependence:1 o:8 covariant:1 mixed:3 comp:1 consequently:1 other:1 cambridge:4 into:1 integral:1 pisarski:1 appropriate:1 determine:2 operator:22 england:2 unambiguous:1 hep:2 additional:2 kapusta:1 suffice:1 specifically:1 dispersion:15 conservation:1 forward:2 was:1 propagator:2 function:4 complete:5 form:4 simplifications:1 qcd:1 denoting:1 but:1 aµ:5 delta:2 cnpq:1 applying:3 2πi:1 us:5 demonstrate:1 distribution:1 calculated:1 taylor:1 ad:1 af:1 defined:2 ao:2 single:1 perez:4 formalism:3 commuting:1 universidade:1 physical:1 functions:1 feynman:1 uµ:14 when:3 vanishes:4 nf:16 schwinger:5 ny:1 interested:1 papers:1 department:1 massless:3 conventionally:2 calculating:1 a12:1 meaning:1 important:2 variable:2 astronomy:1 structure:1 brandt:6 dω:6 physics:2 time:6 starting:1
|
0705.2536.txt |@word consider:1 rev:10 magnetic:5 results:1 abramo:2 ferreira:1 comments:1 row:3 th:1 extractions:5 tegmark:1 norm:1 random:1 mpc:1 burigana:3 very:1 mixing:1 affect:1 condition:1 roy:3 anisotropy:1 erratum:1 cmb:8 large:1 small:2 dis:1 l95:1 smaller:2 sin2:1 sign:1 second:2 finelli:3 λcdm:6 what:1 section:4 current:2 version:1 new:1 increasing:7 public:1 aℓm:1 sodre:1 full:3 lee:2 ibid:1 respectively:1 behaviour:2 reported:1 fluke:1 jcap:2 address:1 change:1 obtained:1 technical:1 larger:3 allows:1 published:1 via:2 useful:1 scales:1 aps:1 δc2:7 private:1 anomalies:1 counts:2 ymin:1 analyses:1 plot:1 sake:1 positive:3 negative:1 next:1 therefore:1 contaldi:1 theoretical:2 more:2 tsujikawa:1 mather:1 eccentricity:9 cases:1 iii:2 easiest:1 account:1 gruppuso:4 permits:1 equation:1 edec:17 values:5 following:4 modifies:1 example:2 numbers:1 give:6 zaldarriaga:1 organized:1 minimum:2 performed:3 xmin:2 axis:7 end:1 means:1 huterer:3 maps:1 parameter:1 divides:1 moroi:1 ft:1 may:1 horizontal:1 data:1 branches:1 third:1 green:2 decreasing:9 order:6 over:1 produced:1 paper:6 through:1 statistical:5 still:1 before:1 perfect:1 efstathiou:1 thank:2 kofman:1 directional:1 interesting:2 harmonics:2 inaf:2 decreased:1 weeks:1 correspondence:1 cea:4 framework:1 hamilton:1 represents:4 term:2 fully:1 sin:5 possibilities:1 2f:2 magnitude:1 each:3 found:1 upward:1 energy:1 gaussian:2 related:1 solution:1 investigated:1 iasf:1 year:1 our:3 eq:10 es:1 shown:1 aobs:2 space:5 electronic:1 since:3 induces:1 attracted:1 istituto:2 issue:1 red:1 shows:3 foreground:1 associate:1 fisica:1 possibility:1 standard:4 estimate:1 likelihood:5 rewritten:1 hubble:1 ft2:1 could:1 cosmic:2 times:1 turn:1 gordon:1 first:3 probability:9 number:2 done:2 quadrupole:25 reached:1 tributed:1 xv:1 angular:3 given:4 checked:1 temperature:3 introduction:1 bologna:5 eqs:1 µk2:4 approximately:1 obtainable:1 brevity:1 observations:1 draft:1 wilkinson:1 gives:2 shifted:1 explanation:2 copi:3 part:1 authors:1 x2:1 believe:1 than:7 coefficients:3 writable:1 zero:1 matter:1 contrary:1 amplitude:7 extracting:1 ran:1 spectrum:2 unlikely:2 close:1 seen:1 confirms:1 clearly:1 depending:1 responsible:1 note:2 oliveira:1 take:1 wmap:4 linde:1 added:2 collaboration:1 who:1 most:1 intrinsic:7 dom:1 considered:7 clear:1 implications:1 km:1 physics:1 sum:1 show:2 text:1 labels:1 analisys:1 astrophys:1 find:1 feng:1 ae2:2 parameters:4 sphericity:1 enough:1 should:1 only:4 black:1 subsection:1 parabolic:2 di:4 de:1 expectation:1 cannot:1 report:1 maartens:1 takahashi:2 arxiv:23 acknowledgments:1 release:1 fixed:3 set:1 computed:3 starkman:3 observed:11 see:5 bernui:1 recently:2 best:1 written:2 µk:2 c2e:7 terms:3 statistically:1 wu:1 analyzed:1 irnerio:1 faced:1 both:1 cos:4 many:3 region:1 dated:1 hinshaw:1 contribution:2 whole:1 among:1 bell:1 pos:1 simply:1 maximize:1 respect:1 considering:1 decoupling:4 informed:1 due:1 been:6 taste:1 much:1 interest:1 expected:2 ph:22 anomaly:6 fig:8 direction:3 describe:1 sufficient:1 astron:3 c2:14 present:5 case:7 novel:1 pacs:1 expanded:1 value:8 aim:1 replaced:1 piao:2 a20:1 a21:2 a22:2 vc:1 metric:2 iv:2 ii:2 middle:1 luminet:1 zhang:1 different:1 italy:2 perform:3 lett:5 same:5 tells:1 concavity:1 modification:1 dimensionless:1 independent:1 literature:2 riazuelo:1 effect:3 possible:2 constraining:1 implicitely:1 purpose:1 a2m:6 costa:1 lower:1 ellipsoidal:11 analysis:7 without:1 solve:1 model:15 left:1 spherical:2 background:3 proposed:4 being:2 obtain:3 shape:3 underline:1 conclusions:2 photons:1 point:1 iϕ:1 campanelli:2 treatment:4 input:2 real:1 easily:1 prefer:1 showing:1 february:1 five:1 mon:3 tcmb:5 unique:1 brandenberger:1 follows:2 performing:1 schwarz:2 sezione:1 always:3 kawasaki:1 reduced:1 satisfactory:1 right:2 some:1 briefly:1 towards:1 b0:3 moreover:1 anisotropies:5 lead:1 microwave:2 models:1 does:1 provides:2 power:2 tedesco:2 step:1 2m:2 imaginary:1 refers:3 about:1 column:4 universe:12 2iϕ:1 stand:1 mean:1 obs:2 soc:3 presence:2 communication:1 into:1 three:1 down:1 hep:2 measured:2 spaziale:1 low:3 way:1 was:1 function:3 complete:3 but:1 hu:1 astro:21 cosmica:1 line:1 removed:1 infn:1 compute:1 wish:1 systematics:1 up:1 us:1 discretized:1 fluctuations:1 distribution:2 panels:4 shafer:1 constant:1 reconcile:2 defined:2 measure:1 lehoucq:1 general:1 predictions:1 simulations:1 nazionale:1 fixsen:1 no:2 whereas:3 wuensche:1 ng:1 field:5 other:4 details:1 branch:3 papers:1 deviation:2 draw:1 kinds:1 favourite:1 astrofisica:2 vertex:1 bounded:1 peloso:1 abscissa:1 interval:1 time:5 gobetti:1 once:2
|
0705.2537.txt |@word partial:13 consider:37 results:12 lns:1 ext1λ:5 proposition:23 generalize:3 computation:2 φk1:1 francesca:2 denotes:1 φk2:1 restrictions:2 devoted:1 whose:1 producing:1 equivalence:2 send:1 quasi:20 alberto:2 under:9 analogous:1 tb:3 ta:3 homλ:40 comm:2 g2:6 g1:6 g0:1 rise:2 springer:4 induce:3 focus:1 corollary:12 every:5 lecture:3 little:1 exact:30 condition:9 dim:14 immediately:1 evaluation:1 notes:4 murcia:1 large:1 commute:1 independence:1 qiso:3 serially:1 upper:11 too:2 submodules:3 φri:3 edu:1 direct:3 second:10 follow:1 further:1 cfr:2 canonical:1 spectral:14 will:9 what:1 plays:1 iterating:2 deeply:1 section:10 celebrated:2 analogously:2 find:1 ˆa:2 version:2 gn:2 above:1 sup:2 stabilizes:5 equivalences:2 bn:2 edited:1 notions:3 degree:3 respectively:5 loose:1 bi:2 φr1:2 objects:57 possibility:2 indecomposable:6 directions:3 along:1 interpret:1 bimodules:4 obtained:6 remark:4 generalizing:3 forum:1 technical:2 shift:1 study:4 studied:1 allows:2 φr:1 suggests:1 products:1 procedure:2 studi:2 suitable:4 pathologies:1 quotient:3 φki:13 φkj:1 via:1 useful:3 subcategory:8 φkn:2 f1:1 inducing:2 dedicated:3 ugel:1 texts:2 cohx:12 hhp:2 apply:2 resolutions:4 total:4 rψ:1 bra:1 use:2 ψy:3 additive:1 eψ:2 working:2 prove:18 covariant:3 positive:2 ψq:3 finally:2 reflexivity:24 next:1 chp:5 vol:1 ψh:6 call:2 therefore:16 spaltenstein:1 memory:1 butler:3 survive:1 associated:14 stage:7 diagrams:1 more:2 eφi:2 duality:10 initial:3 stable:1 berlin:3 particular:17 known:1 projective:26 cases:1 hold:1 iii:2 γa:12 1th:1 account:2 isomorphism:7 ma:3 recovering:1 permits:3 recall:4 mn:1 mi:5 γr1:1 obvious:1 three:1 following:24 applies:1 example:13 address:2 proof:19 cokernels:2 compare:5 subcategories:6 quiver:10 give:6 arise:1 suggestions:1 assumptions:7 ψri:12 want:1 sense:5 extis:1 triangle:18 hhh:1 conversely:6 occur:1 guarantee:2 end:3 straightforward:1 pure:1 verify:5 hom:28 extλ:1 maps:11 pura:1 cardinal:2 fourth:4 instead:1 verlag:3 e2i:1 map:11 fr:1 algebra:18 may:3 tilting:8 cohomologies:28 derived:46 ψr0:10 residues:1 ψr2:6 diagram:12 hence:6 fb:3 adjunctions:3 fi:2 fn:3 cokernel:2 short:11 natural:13 e21:1 third:3 hypotheses:2 filtrations:1 so:16 sect:1 jussieu:1 definitions:1 morphism:3 order:2 restriction:1 holds:4 ith:1 produces:1 indeed:5 over:1 satisfied:7 paper:3 london:2 thesis:1 existence:3 satisfies:6 still:1 its:17 hazewinkel:1 le:1 thank:1 ext1:3 trieste:1 summands:1 interesting:2 sheaf:16 naturality:1 forms:1 complex:56 degrees:4 categories:55 cline:1 main:2 sheaves:8 setting:6 colleague:1 them:1 lipman:2 greater:4 framework:1 effects:1 they:4 now:15 hvp:3 rj:3 easily:2 term:5 finite:28 exts:1 homomorphisms:2 purdue:1 modx:4 always:3 university:2 universita:2 l0:15 l1:1 repeating:1 side:2 associative:2 mean:1 en:2 tilted:1 ed:1 hard:1 related:2 ext1s:2 coelho:1 extended:2 yield:1 happel:1 our:9 ring:4 out:41 category:11 hhhh:2 rq:1 rs:8 ponomarev:1 since:48 research:1 rb:21 denoted:3 formula:1 rn:5 induced:5 induction:1 ri:38 math:12 shows:1 theory:7 associate:1 ψr1:25 given:17 free:9 standard:2 admits:3 nth:1 completely:1 york:6 grazie:1 degli:2 e2:5 definition:7 pairs:8 limiting:1 r0:24 r1:63 r2:8 fa:3 geometry:1 dip:1 φmi:3 used:1 length:1 consequence:1 generalizations:1 top:1 first:11 xi:1 xn:9 reflexive:163 rank:6 u0:1 restrict:1 morita:5 thick:4 unexplained:1 1r:2 fuller:8 bbb:1 similarly:3 introduction:2 adjoint:45 relations:12 πr:16 their:6 ule:1 1d:1 1h:2 colpi:3 scheme:3 friend:1 gives:1 relationship:1 tool:1 exactly:1 proving:1 assumption:3 part:2 because:3 favorable:2 authors:1 e20:1 x0:16 x1:7 than:4 finitely:13 wide:1 holland:1 was:1 zero:11 contravariant:17 classes:13 stalk:13 assumes:1 monomorphism:1 bicomplex:3 projections:1 m2:5 rad:1 complexes:24 false:1 argument:2 generalization:1 endomorphism:2 say:3 keller:2 seen:2 acyclicity:1 recover:3 clearly:3 functors:47 quadrant:1 ηk2:1 homological:2 latter:3 note:5 instance:2 k1:1 f2:1 generalized:2 finding:1 formulas:2 sequel:3 index:1 object:36 φh:13 extending:2 regular:3 representation:1 pair:37 filtration:6 acknowledgements:1 class:10 maria:1 kb:1 considered:3 kj:1 clear:2 coincides:3 kn:3 traditional:2 ext:5 kt:1 usual:2 notion:2 fact:1 minimal:1 precise:1 show:5 supported:1 converge:1 notations:1 ki:9 relation:2 hypercohomology:1 indicate:1 fifth:4 q0:2 partially:1 nice:1 endλ:3 lemma:15 only:20 colby:8 consent:1 truncation:1 preliminaries:2 columns:1 abelian:30 his:1 cotilting:38 get:33 dekker:3 db:29 sss:1 da:15 hartshorne:2 ones:1 new:6 closure:2 reveal:1 regarding:2 dpq:1 settings:1 approach:3 arxiv:1 θr1:3 investigate:2 scott:1 kernel:1 computed:2 exists:14 achieved:1 φl0:2 differentials:1 module:31 observed:1 see:17 result:7 ηk1:1 forthcoming:1 pacific:1 parshall:1 rings:5 enough:23 future:1 closed:4 between:20 reading:1 conditions:9 available:1 notice:1 ηkj:2 terms:18 uuu:3 attention:1 succeed:1 hypothesis:3 key:3 distinguish:2 ker:22 concentrated:1 both:18 cor:1 improved:1 taking:2 infinitely:1 equal:2 called:2 connection:1 ws:1 passing:1 whole:1 0o:5 extir:5 among:1 ch:5 co:1 conclude:13 simple:5 cb:4 dipartimento:1 cohomology:14 dimensional:6 tracts:1 simply:2 sequences:8 hvq:1 moreover:11 cp:3 coker:1 considering:6 kernels:2 pp:2 pq:11 commutative:7 silvia:1 locally:13 copies:2 ai:8 faithfully:1 morphisms:1 ψq2:2 define:7 surjective:1 arises:1 corresponding:3 adjunction:17 truncations:1 θb:3 sufficient:1 propositions:2 coherent:11 observe:8 mail:2 denote:17 those:2 case:19 p0:6 p1:4 solid:1 evaluated:1 aim:2 while:1 suppose:5 behavior:1 involved:1 situation:1 di:3 bb1:2 remembering:1 unitary:1 epimorphism:2 ˆl0:2 thus:13 non:4 ii:33 characterize:2 itself:1 im:3 ready:2 aspects:1 orthogonal:2 noetherian:6 quasiisomorphism:1 φp:1 cohomological:33 different:1 verified:1 grant:1 φx:10 suggest:1 belong:1 admit:1 same:4 any:50 φa:116 unity:2 φc:1 arguments:1 largest:2 units:4 proved:2 several:3 φl:6 composition:7 independent:1 literature:1 http:2 imply:1 trivially:2 ψrn:3 hand:2 interested:2 identity:3 weibel:1 lower:10 reflection:1 nevertheless:2 studies:1 well:1 analysis:4 edge:2 resuming:1 fail:1 dimension:70 left:33 gelfand:1 brenner:3 being:2 resp:17 obtain:5 detail:1 underlying:1 using:7 previous:6 k3:1 family:1 k2:1 thinking:1 point:2 belongs:6 easy:8 theorem:46 hap:3 har:13 heidelberg:2 ψrj:12 isomorphisms:8 read:1 possible:3 know:2 press:2 integer:2 vλ:1 advanced:1 mod:23 necessary:1 follows:13 italy:2 continue:1 either:2 arbitrary:6 works:1 page:1 terminology:1 www:2 dualities:6 methods:1 deal:1 sequence:28 sends:1 some:1 homr:14 homs:37 deduce:3 b0:1 examples:8 choosing:1 respect:5 describing:1 dimensions:5 univ:1 verona:2 subclass:2 prop:2 does:1 summand:1 assuming:2 unipd:1 proc:1 strada:1 cogenerator:2 refer:1 e2pq:12 projectives:6 ba:1 bb:13 equivalent:3 each:41 continuing:1 ψx:2 triangulated:3 th:3 properties:5 injective:18 artin:2 extension:1 most:7 theorems:3 idr:1 o:24 essential:1 ψr:6 exti:1 ox:26 augmentation:1 idd:2 acyclic:62 automatically:1 bimodule:15 soc:3 cambridge:5 publishing:1 ηa:28 unbounded:3 image:4 isomorphic:22 negative:1 lies:1 right:39 references:1 determine:1 ηp:5 balanced:1 amsterdam:1 ηx:1 rows:2 e2p:1 classical:1 her:1 assumed:2 there:19 u1:1 socle:1 long:1 start:1 anderson:1 appl:1 handbook:2 way:44 m1:5 sections:2 miyashita:4 function:1 north:1 form:4 converse:4 denoting:1 uuuu:1 ψb:5 hh:2 functor:27 matematica:1 algebraically:1 true:2 collapses:1 padova:3 applicata:1 algebras:1 applying:17 uu:12 wish:1 inside:1 us:38 below:1 un:1 ui:1 grothendieck:1 sum:1 subclasses:2 homotopy:1 strongly:1 ac:2 cbf:3 af:2 defined:2 ψq1:2 abstract:1 describe:5 compositio:1 general:7 bernstein:1 referee:1 exist:4 together:1 families:1 inf:2 check:1 triangles:8 defines:1 no:1 commutes:1 when:4 vanishes:1 graduate:2 field:1 other:4 role:3 details:1 mathematics:5 conclusion:1 0th:1 ξr:1 ηˆa:3 vertex:1 rickard:1 a1:3 a0:5 generated:14 cb1:3 bounded:8 rp:3 ξb:2 gets:2 structure:2 algebraic:1 implies:1 informatica:1 assume:24 resolution:8 factors:2 modules:26 cpf:3 equivalently:1 a8:1 already:2 cps:3 starting:3 having:1
|
0705.2538.txt |@word represent:2 concept:2 rev:1 spie:1 results:1 four:6 gf:1 intricate:1 gl:1 row:1 whose:3 terms:1 graph:25 equivalence:1 finally:2 those:1 under:1 discovering:1 worth:2 started:1 case:14 conjecture:1 straightforward:3 returning:1 quadruples:1 intriguing:1 geometrical:3 every:1 entries:3 little:1 matrices:3 encounter:1 entire:1 magic:1 p4:3 level:2 joined:1 admissible:2 observables:2 small:1 pentagram:1 configurations:1 employing:3 ten:2 consists:1 zero:4 designs:2 perspective:1 go:1 pass:2 specker:1 established:2 what:1 sub:2 invertible:1 clock:1 abh:1 trivial:1 section:1 optoelectronics:1 brief:1 subspaces:1 3b:1 3a:1 exercise:1 full:2 degree:2 component:1 here:4 understanding:2 guise:1 iσx:1 z8:3 address:2 represented:2 z5:1 z6:5 z7:4 observing:1 z1:3 z2:12 z3:8 obtained:1 great:1 trans:1 institute:1 shift:1 qudits:1 products:1 characterizing:2 conveniently:1 fourier:1 studies:1 quotient:1 composed:1 boykin:1 via:1 followed:1 classification:1 namely:1 p3:4 analyzing:1 univ:1 unit:3 readily:2 figure:6 distinct:7 nine:1 contains:1 next:2 m4:4 depicted:1 going:1 m1:6 m3:5 m2:8 taken:2 more:7 introducing:1 sharing:3 duality:3 composite:2 solitons:2 operators:28 adjacency:2 payne:1 flag:2 appendix:2 labelled:2 particular:1 known:1 projective:21 cases:1 cardinality:2 iii:2 hints:1 isomorphism:1 join:1 divisors:2 science:1 work:1 mi:6 axiom:1 vega:1 obvious:1 www:1 mr:1 following:3 arrive:1 example:2 brescia:2 proof:2 references:1 unveiled:1 indicated:2 give:1 grassl:2 unbiased:9 numbers:1 hyperplane:3 arise:1 information:1 z22:1 mutually:16 rather:1 verify:1 s1:2 six:1 feature:1 revisit:1 located:1 adjacent:4 product:2 after:1 derived:1 fd:1 multiplication:2 representations:2 parallel:2 whenever:1 light:1 sit:1 lines:31 correspond:2 st:2 sk:2 encompassing:1 si:4 so:2 allow:1 representation:2 bipartite:2 michel:2 holds:1 indeed:3 astronomical:1 move:1 y8:1 paper:3 through:1 y1:3 existence:2 y3:3 still:2 avenue:1 its:11 y7:1 y6:2 perfect:1 derive:2 group:1 del:1 bandyopadhyay:1 exhibits:1 li:6 systems:4 hidden:1 image:1 them:5 schematic:1 finitedimensional:1 femto:2 they:1 cage:1 above:1 term:1 gets:1 quadrangle:5 fully:3 university:1 identified:1 orthonormal:2 l4:4 l2:6 l3:6 each:7 found:5 2n:1 associative:1 subset:3 square:4 weight:2 fr:1 related:2 obtains:1 quantum:11 our:4 beyond:1 out:6 shown:6 matrix:3 space:6 crucial:2 chaos:2 contained:1 qutrits:2 newly:1 eline:1 math:3 shows:1 linear:1 eco:1 given:4 standard:1 members:3 gl2:2 definition:1 pairs:3 derivation:1 geometry:26 optics:1 sextic:1 counterpart:3 hence:2 exhibited:1 first:4 sanchez:1 symmetry:1 laguerre:2 variables:1 number:3 rank:1 xz:3 will:2 least:1 comprises:1 ring:15 properties:2 symptom:1 reference:1 similarly:1 introduction:1 system:8 relations:3 their:1 realization:1 ordered:1 john:1 structures:1 uka:1 gives:1 thas:2 grant:1 academy:1 bit:1 x8:2 part:1 x2:1 x3:3 x1:3 representing:1 than:4 coefficients:1 x5:1 edition:1 divisible:1 was:1 mubs:1 second:1 collinear:1 classes:3 pairwise:3 enables:1 distinguished:1 klimov:1 addressing:1 fashion:1 objects:1 boston:1 topics:1 modern:1 turned:3 spectrum:4 disjoint:4 seen:2 cumbersome:1 element:2 saw:1 any:5 viewed:1 lie:1 mermin:4 check:1 convenient:1 latter:2 agency:2 hyperplanes:3 sciences:1 generalized:15 quadric:1 finding:1 new:1 w8:2 observatoire:1 cnrs:2 multiple:1 shall:2 incidence:3 most:2 regular:3 eight:3 pair:3 veldkamp:1 acknowledgements:1 quadrangles:2 tensor:1 inferred:1 order:8 graphs:4 proceedings:1 points:20 se:1 exp:2 pictures:1 left:1 sigma:2 assistance:1 lying:1 joining:2 show:1 supported:1 spaces:9 keywords:1 analogue:2 d2:1 find:4 implementation:1 x6:1 peculiar:1 only:3 bases:8 x4:1 parabolic:1 over:16 intersect:3 notation:1 means:2 batten:1 dd:1 de:4 shared:1 dr:1 net:1 prime:4 portion:1 regarding:1 exhibiting:1 settings:1 geometrie:1 arxiv:1 comprising:1 havlicek:4 appear:2 common:5 london:1 kochen:1 kibler:2 characteristics:1 set:14 exists:2 national:1 w6:8 see:4 result:1 triples:1 sem:1 theoretic:1 violates:1 w9:8 subject:1 project:2 y2:3 surmised:1 commutation:2 y5:1 rings:3 y4:4 importance:1 behind:2 smallest:2 between:2 progress:1 geometric:3 approach:1 discovery:1 available:3 recently:2 complementary:1 qubits:12 however:1 extent:1 ja:1 σk:1 σj:4 σi:4 saniga:10 taking:1 contract:1 σz:5 σy:4 σx:4 symplectic:2 pdf:3 qubit:11 whole:1 finds:2 con:1 strongly:1 point:8 corresponds:2 2nd:1 dimensional:5 z4:1 twin:1 anti:3 respect:1 fruitful:1 considering:1 geometries:10 quaderni:1 addition:2 vatan:1 three:10 been:3 strategy:1 treat:1 basic:1 expected:1 ph:5 pi:2 pn:1 po:1 fig:9 corresponding:7 deeper:1 both:2 formed:1 epartement:1 rosu:1 general:1 present:1 p2:3 explicitly:1 multi:14 p1:2 p6:5 look:1 subsets:6 pacs:1 p8:3 p9:6 intimately:1 di:1 property:2 procedure:1 algorithmica:1 seven:2 planat:12 endowed:2 thus:2 non:3 ii:3 tuwien:1 dual:9 technology:1 disappear:1 different:2 etc:1 generic:1 qutrit:9 fractals:2 connection:2 same:2 sav:1 unity:1 quant:5 pauli:26 units:2 survey:1 finite:25 higher:5 http:2 i3:2 i2:22 edges:3 entanglement:3 ira:1 aka:1 mentioning:1 task:1 well:3 edge:3 flags:1 sets:10 entry:1 otherwise:1 dimension:5 justify:1 being:2 nd:1 underlying:2 distant:2 thanks:1 eigenstates:1 adv:1 hamburg:1 preprint:6 regarded:4 bell:1 seems:1 except:1 belongs:1 versa:1 theorem:1 relevance:1 role:1 pitman:1 identical:2 x7:1 grid:8 press:1 pertinent:1 emergence:1 accepted:2 projects:1 loss:1 necessary:1 like:2 lost:1 follows:4 specific:1 either:3 arbitrary:1 twelve:2 sketch:1 right:4 classical:2 easy:1 some:1 back:1 self:2 triple:2 understood:1 elements:1 table:2 home:1 recognition:1 dimensions:4 illustrated:4 soto:1 measurements:1 anne:1 seminario:1 object:1 power:2 l1:10 broken:1 departures:1 although:2 hilbert:6 comparison:1 about:3 central:1 carried:1 algebraic:1 column:1 theorems:1 discussed:1 melbourne:1 recalling:1 carries:1 neighbor:4 ox:1 2iπ:2 cambridge:2 besan:1 into:2 within:1 isomorphic:5 copies:1 lies:1 slovak:3 operator:1 france:3 institut:1 roychowdhury:1 combinatorics:1 ugent:1 there:4 question:2 transform:1 perp:3 slovakia:1 way:1 labelling:1 sections:1 complete:5 form:5 jun:1 but:3 astro:1 properly:1 matematico:1 hc:1 line:43 true:1 considerable:1 partially:2 fdc:1 made:1 wise:1 embedded:2 ωp:1 inside:1 ωpn:1 maximum:10 ovoid:3 demonstrate:1 intersects:1 define:1 similar:1 called:2 expect:1 detailed:1 ac:1 ab:1 associated:8 defined:5 abstract:1 vertices:10 single:1 exist:1 partly:1 commuting:11 simplest:2 surmise:3 ni:6 whereas:3 when:4 detail:2 grouped:1 other:2 republic:2 details:1 theor:3 conclusion:1 polar:4 briefly:2 ll:1 kinds:2 preceding:1 concurrent:3 serious:1 structure:6 implies:1 partitioned:1 vice:1 together:3 depth:1 weights:1 fact:1 resembles:1 n1:6 n2:5 n3:6 n4:6 having:1
|
0705.2539.txt |@word precise:2 monte:2 quarks:1 consider:9 φn1:3 caused:2 lack:1 focus:1 leads:3 scalar:2 proposition:1 per:1 iζ2:1 c2:1 follow:1 expressions:1 zinn:1 contributions:2 factorizing:1 compact:1 inverse:4 const:7 equivalence:1 tr:8 posteriori:2 tn:10 finally:2 does:2 those:2 th:1 under:1 details:2 suffered:1 chirally:7 p2:19 amplitudes:12 notations:1 p3:2 very:2 implicitly:1 rise:2 sufficient:1 results:13 putting:1 scholarship:1 ln:4 difference:4 exact:5 condition:1 four:13 obvious:1 level:3 did:2 turns:2 erratum:1 michael:1 large:39 convenience:2 vector:2 announced:1 small:21 eigenvalues:11 alternatively:1 configurations:1 concluded:1 prevent:2 smaller:1 fix:1 grateful:1 mi:7 consistent:1 complement:1 approximation:2 second:6 evaluated:2 insertion:1 zu:1 dynamics:1 accompanying:1 carlo:3 rough:1 quite:1 linear:4 even:3 established:4 newtonstr:1 sub:7 invertible:1 brackets:1 deeply:1 section:10 selected:8 analogously:1 expressed:1 lengthy:1 access:2 version:1 sigma:15 goes:2 selecting:1 subdiagonal:2 new:3 increasing:1 connected:1 equivalent:1 contrast:5 supporting:1 κn:20 full:4 simultaneously:1 evaluating:2 ibid:1 respectively:10 hasenfratz:3 henrik:1 component:6 here:35 understanding:1 desired:3 asymmetry:4 them:1 ansatz:5 address:1 represented:1 consideration:3 strong:9 equations:8 appears:1 obtained:14 sending:1 search:2 oxford:1 involved:4 study:3 studied:2 allows:2 poppitz:2 commonly:1 prior:2 resulting:6 stressed:1 action:40 complicated:1 fourier:1 studies:2 involves:1 quotient:1 emerge:1 bare:1 via:2 useful:1 fµ:6 ipi:1 integrations:2 private:1 analogous:1 summation:1 total:2 establish:2 b219:1 unit:2 use:3 tn1:1 projector:1 would:12 tn2:1 positive:5 ψp:4 comments:1 negative:2 substitutions:1 scenarios:2 m4:1 nucl:8 derivation:1 m1:4 m0:1 ψm:2 taken:2 compactly:2 theoretical:1 diagrams:11 more:9 separated:1 introducing:2 ir:4 excluded:2 upcoming:1 iir:1 becomes:14 operators:4 validity:2 berlin:2 appendix:6 basically:1 particular:4 known:4 cases:3 encountered:2 iii:7 adequate:2 fermionic:4 couples:2 account:8 ma:1 quartic:22 indicates:1 equation:4 work:2 det:37 modified:2 theories:6 infinitesimal:1 values:44 publications:1 following:11 making:1 arrive:1 tni:1 numbers:2 nearest:2 compare:1 stiftung:1 give:2 process:1 r8:9 choice:1 sense:1 share:1 effectively:3 minimum:1 performed:11 want:2 allowed:3 unphysical:1 every:1 rescaling:1 6m2:1 occur:1 quark:2 absolute:4 afm:11 regularization:1 counting:1 end:2 b185:1 decaying:1 provide:1 s2:12 discussion:2 get:1 restart:1 recovers:3 write:1 proceeded:1 pure:4 justin:1 b5:1 plus:1 guarantee:2 parameter:9 sin:2 product:2 de:1 blocks:2 information:1 may:1 earlier:2 different:3 φ2m:8 diagram:8 consequence:1 ζr:4 plane:3 physik:1 waves:1 lat:2 fi:7 wave:2 revealed:1 fm:9 constants:11 fixing:1 sy:4 short:2 physical:3 outline:1 effective:32 higgs:57 light:1 explicit:2 correspond:2 neglect:2 si:7 cannot:1 so:2 block:4 allow:3 decreasing:1 definitions:2 lambda:1 order:24 operations:1 restriction:7 least:4 interpretation:1 indeed:1 over:18 φni:3 choose:1 during:1 paper:7 including:2 left:3 σni:1 existence:5 kinetic:3 s4:1 its:4 blocked:1 derive:5 τj:1 thank:1 acknowledge:1 chosen:2 matrices:9 2λn:1 solving:1 boson:1 actually:2 better:1 b394:1 absence:2 degrees:1 differently:1 relate:1 main:1 easier:1 overcome:1 eventually:5 non:14 good:1 motivated:1 yn:31 fixation:2 numerically:1 deutsche:1 sϕ:1 scaling:3 cutting:3 effects:8 they:2 half:1 front:1 now:16 sφ:15 articles:1 uscher:4 several:6 dirac:4 2r:2 fully:1 university:2 presented:11 b3:1 identified:1 establishing:1 orthonormal:1 sufficiently:8 l4:28 mode:10 reasonable:4 each:3 found:2 universit:1 ferrimagnetic:5 referred:1 subset:3 spinor:4 domain:2 square:1 bends:2 generation:1 series:6 quaternionic:2 idea:1 related:2 elementary:1 used:7 disappears:1 obtains:5 remove:1 quantum:2 our:9 transitions:10 eq:60 ep:1 special:2 out:11 shown:4 monographs:1 matrix:22 ginsparg:2 space:22 furthermore:5 since:14 crucial:1 iλn:1 denotes:10 acting:1 investigation:4 sustain:1 reader:6 denoted:2 postpone:1 ref:1 integrated:2 interchanging:1 after:4 theory:5 normalized:1 interactions:2 diagonal:8 possibility:1 standard:4 indices:3 completely:1 unwanted:1 besides:1 hep:2 estimate:1 hand:2 beginning:1 additional:5 definition:2 ninomiya:2 interaction:3 chiral:20 created:1 could:5 transition:7 m20:2 times:1 exponentially:1 cos:8 hence:5 arrived:1 neglected:2 abbreviations:1 support:2 first:17 staggered:16 xn:1 humboldt:1 symmetry:10 upper:1 σki:4 omitted:1 variables:2 assumptions:1 number:7 restrict:2 multiplying:1 done:4 nonperturbative:1 directly:7 σk2:2 impossible:1 open:1 size:4 given:27 perturbation:1 rewritten:1 start:1 introduction:2 leading:6 top:4 approximately:1 shigemitsu:1 their:3 assumption:1 ulich:1 fermions:7 kµ:10 dfg:2 inserting:1 final:2 permutation:2 shifted:1 κef:20 statement:1 doublers:2 centered:2 tool:1 exactly:2 serve:2 yield:1 electroweak:3 part:1 somewhat:1 manipulation:1 petcher:1 off:3 x1:1 than:1 dynamical:1 third:1 showed:2 edition:2 double:1 tree:2 zero:3 project:1 determined:8 montvay:1 assume:1 amplitude:6 were:12 accessed:1 outcome:1 powers:1 perturbative:1 questionable:1 addressing:1 fashion:1 symmetries:1 rewrite:3 reproduces:1 lines:4 heaviest:2 argument:1 curves:1 yielding:5 already:3 manner:3 further:5 need:1 seen:2 sees:1 unaffected:1 any:4 option:1 before:1 wilson:4 strength:1 mostly:1 depending:2 studying:1 latter:17 downwards:1 mechanism:1 converges:1 k2:21 emphasis:1 potential:5 generalized:1 simplified:1 finding:1 degenerated:2 explanation:2 begin:1 towards:4 unless:1 components:6 trace:7 investigations:5 denoting:8 relation:9 consistency:5 neutrinos:1 algebraic:1 nonlinear:1 eight:1 gauss:7 representation:1 phase:88 analytically:5 inserted:1 stands:1 cause:1 especially:1 considered:4 calculated:1 partition:1 differ:1 possesses:1 2nd:1 kr:5 principle:2 exp:5 χm:1 usual:3 germany:2 sum:4 fact:4 applied:1 sector:2 eichten:1 show:2 text:4 justifies:1 discovered:1 purely:3 iǫ:2 minimizing:1 gauge:9 inconsistent:2 keywords:1 φm:2 d4:1 longer:1 find:2 ni:12 indicator:1 based:3 proposed:1 parameters:5 should:4 only:26 explicitly:8 black:7 rich:2 factor:2 integrate:2 originally:1 circle:1 local:5 interested:2 merged:2 dn:1 do:3 dominant:1 notation:10 means:1 dependent:3 particularity:1 overall:1 expectation:11 expects:1 ϕn:5 closely:1 despite:1 lattices:10 justified:4 differentiating:2 gray:4 determinants:5 continuum:5 consisting:1 settings:1 fields:11 arxiv:2 factorization:1 summary:2 investigate:2 common:1 platanenallee:1 analytical:5 through:1 previous:1 fixed:2 discussing:1 doublet:7 jers:1 set:5 modulo:1 computed:1 exists:3 achieved:2 physically:1 around:2 up:4 observed:3 sef:15 see:3 eip1:1 radius:1 result:7 y0:1 discussions:1 forthcoming:1 flavor:1 subject:1 preparation:1 phases:8 evaluation:8 ways:1 review:1 uζ:1 sites:1 λn:14 symmetric:24 written:7 proof:1 gian:1 correctly:1 between:2 invariant:10 boundary:1 reading:1 approach:3 neglection:1 locality:1 restricting:1 terms:16 rivas:1 extend:2 complementary:1 spacing:2 wm:2 attention:1 weak:1 however:18 eipr:1 vanishing:7 ws:4 distinguish:1 suppressed:2 remaining:4 gerhold:2 σk:5 both:6 hits:1 providing:1 last:3 σn:8 many:1 taking:6 ir4:1 according:25 homotopy:1 propagation:1 connection:3 dated:1 beyond:1 contribution:4 expression:11 finds:5 come:1 minima:5 point:2 wall:1 guaranteed:1 corresponds:4 except:2 dimensional:8 pm:4 ab:14 anti:14 coordinates:1 lagrange:1 moreover:3 throughout:1 suppressing:1 pr:7 ps:5 unusual:1 described:2 argued:1 aˆ:4 addition:1 simplification:2 due:9 been:6 implicit:1 b428:1 careful:1 montecarlo:1 much:1 flyvbjerg:1 interest:2 expected:2 ph:1 pi:19 pn:1 fig:14 hernandez:1 direction:1 relations:1 corresponding:15 ϕˆn:4 observable:2 scalars:1 quantities:4 concerning:2 remark:2 gap:4 neighbour:2 confronted:1 determination:4 unster:1 obscuring:2 denote:5 present:8 c4:1 case:9 eip:3 p0:2 p1:18 critical:1 pacs:1 ǫk:1 ǫi:1 expanded:1 appearance:1 ǫn:1 value:8 transformation:4 will:19 ǫr:3 while:5 leaves:1 situation:1 couplings:5 kuti:1 identical:1 vectors:6 orientation:3 vol:2 refs:2 drawbacks:1 thus:6 site:2 discrepancy:1 iv:4 ii:6 ik:1 itself:3 im:1 σn2:2 vanish:1 φin:1 fermion:18 disappear:2 nielsen:2 compactified:1 containing:1 perform:1 pay:1 make:2 σn1:2 eigenvalue:1 merging:1 same:3 clearly:4 shifts:1 unity:1 complex:1 pauli:2 units:1 pˆµ:1 dimensionless:1 finite:15 propagate:1 showing:1 φn:17 independent:2 calculation:2 φ0n:4 infinity:2 grassmann:1 numerical:5 upon:1 effect:1 sym:8 possible:4 doublets:8 b552:1 compared:1 power:7 purpose:2 infinite:4 invariance:1 identity:2 recent:1 eigenvectors:5 lower:2 kept:1 modes:31 hopping:4 pµ:3 nevertheless:2 whole:3 nonetheless:1 well:10 deal:1 preussker:1 without:1 solve:1 zeuthen:1 convenient:2 firstly:1 position:4 model:62 arising:1 dimension:2 shadowed:1 magnetization:4 drawn:1 b195:1 just:1 being:5 chose:1 vanishes:2 abbreviation:2 bµ:3 underlying:1 properties:1 handed:1 uller:1 momenta:4 yet:1 projection:1 vπ:7 rewriting:1 like:1 preprint:1 conclusions:1 golterman:2 scenario:2 character:1 k1:13 lattice:37 add:1 doubler:1 treatment:1 theorem:1 guarantees:1 hinder:1 iτ:2 momentum:8 iφ:17 real:4 yukawa:62 desy:2 easily:8 φ0m:7 evaluate:3 couple:1 decomposed:1 sums:1 term:11 spanned:1 2wm:1 early:1 possibly:1 increases:2 lett:3 consisted:1 press:2 using:5 searched:1 nr:6 occurring:4 factorize:3 appearing:4 helpful:2 follows:1 interestingly:1 performing:3 unnecessary:1 δm:2 steps:1 either:3 arbitrary:6 region:2 simply:2 works:1 reduced:4 preskill:1 mathematical:1 because:3 namely:1 shen:2 creation:1 some:13 back:1 self:8 b4:1 regularized:1 pπ:33 giedt:2 b1:1 choosing:1 respect:9 proper:1 extended:1 neglecting:3 uncertainties:1 scale:2 describing:1 dimensions:1 bottom:2 shall:1 integration:8 overlap:3 continue:2 2πn:1 summand:2 proc:4 refer:4 bd:1 considering:2 obey:3 minimization:1 bm:2 bn:2 expansion:2 b427:1 step:4 reduces:2 become:2 plots:3 imaginary:1 refers:1 readability:1 quotients:1 about:3 actual:2 ferromagnetic:22 extension:1 package:1 freedom:1 b6:1 basis:4 discussed:2 dependence:1 o:5 problems:1 range:2 misleading:1 extensions:1 obeys:1 span:2 ov:49 introduced:7 slightly:1 projectors:1 gamma:1 considerations:1 outlook:1 cambridge:2 inserts:1 previously:1 communication:1 into:10 within:5 integral:2 bound:1 three:2 down:1 remarks:3 hermitian:2 right:2 references:1 determine:3 δk1:8 operator:15 proportional:4 factorized:2 rossi:1 unambiguous:1 spinors:1 institut:1 log:17 assumed:2 indispensable:1 there:1 question:2 transform:1 smit:1 doing:2 rept:1 way:1 forward:2 translate:1 was:13 therefore:8 function:2 successfully:1 fourcomponent:1 form:3 quantity:1 phenomena:1 m2:10 jun:1 but:3 hu:1 volume:17 encode:1 construction:1 hlrz:2 line:3 proposal:1 condensate:1 coupling:72 made:1 applying:2 places:1 instructive:1 whether:1 antiferromagnetic:1 inside:1 bounds:4 us:1 ur:1 discretized:1 projecting:1 limit:24 verification:1 observation:1 problem:3 define:1 similar:1 nµ:2 eigenvector:1 expect:3 instead:1 changes:1 later:2 constant:57 b2:1 computing:1 defined:11 certain:1 ak:1 describe:1 influence:1 determinant:14 general:2 examine:1 exist:1 predictions:1 simulations:5 φ2n:2 φn2:7 check:1 regime:11 physics:1 again:8 extending:1 ½n:3 eventual:1 no:2 index:2 acknowledgments:1 when:3 cˆ:7 nf:53 multipliers:1 preventing:1 field:36 other:5 neighbourhood:1 most:1 massless:1 solely:1 naive:1 briefly:1 suppl:4 neuberger:6 calculating:1 models:7 setting:2 june:1 a1:1 qπ:5 ξk:3 allowing:2 jansen:6 included:2 formal:1 structure:21 began:1 b365:1 implies:1 auxiliary:5 dψ:4 dφ:2 dχ:4 fulfill:1 required:1 curve:8 detail:1 bb:1 correspondingly:1 mass:8 time:5 qualitatively:1 n1:22 n2:17 backward:1 starting:1 having:3 once:2
|
0705.2540.txt |@word dist:8 consider:1 chain:1 gp:1 induces:1 global:3 desirable:1 results:7 gx:2 leads:1 scalar:2 proposition:10 computation:1 go:17 disk:4 contributions:1 compact:3 isometric:1 inverse:1 const:1 analytic:1 tx:8 ty:5 tv:4 tr:1 tp:14 uniqueness:3 tm:1 present:8 elliptic:3 under:2 exposition:1 analogous:1 include:1 norm:6 applied:3 supported:1 unsatisfying:1 risk:30 straightforward:4 orthogonal:7 implicitly:1 bilinear:1 conditions:1 choice:2 corollary:6 balls:1 summarized:2 unlike:1 difference:1 lefthand:1 special:2 wa:2 dim:12 school:1 ro:4 beginning:1 subsets:1 presented:1 did:1 notes:1 permits:1 solution:1 t0:1 occurs:1 queen:1 vector:24 subriemannian:4 clearly:1 subscript:1 small:2 eigenvalues:2 inspection:2 noted:2 concise:1 maclaurin:12 estimates:3 measurable:1 sign:3 fold:1 second:28 value:3 remainder:2 rigorous:2 further:1 odd:2 linear:7 even:3 will:5 what:1 sub:22 brackets:1 expγ:6 section:26 selected:1 foregoing:1 uniform:1 henceforth:1 paragraph:1 above:2 sup:4 vǫ:2 values:7 augmented:4 crouch:1 respectively:1 presence:1 equals:23 answers:1 leo:1 behaviour:2 favourable:1 tangent:7 situation:2 directions:1 consideration:1 along:7 equations:5 expφ:1 change:3 extreme:1 obtained:1 remark:4 vectors:2 allows:3 reason:5 excursion:1 prior:27 edinburgh:2 proof:23 makes:1 involves:1 york:1 composed:1 via:2 useful:5 projection:6 classification:1 bro:3 viz:1 canada:1 tools:1 txr:5 unit:2 standing:1 derivatives:2 use:3 subsumes:1 lecture:1 takes:2 would:1 prove:2 covariant:1 lemaire:2 give:1 bundles:2 finally:3 hilbert:1 dη:1 call:2 therefore:8 those:1 criteria:2 butler:12 twists:1 more:4 flat:8 knows:1 immersion:11 boundaryless:1 operators:2 factor:1 odinger:1 curvature:10 berlin:1 department:1 normalized:2 proceed:1 particular:4 known:3 cases:5 must:2 ii:2 springer:2 isomorphism:2 characterize:1 recall:5 equation:27 work:3 as4:1 modified:1 rλ:1 mv:2 obvious:1 publications:1 determining:1 following:10 example:1 address:1 history:1 control:3 claim:1 exterior:1 stated:1 calculation:4 arise:2 dxs:1 lω:2 dxn:1 dxm:1 minimum:1 dropped:1 dxi:4 sense:2 mail:1 gǫ:38 g2:17 information:4 needs:1 advantage:1 rather:3 discussion:4 hom:19 differences:1 length:1 krishnaprasad:1 write:1 maps:23 imbedded:1 fourth:1 answer:1 optimal:14 ordinary:1 verlag:2 parameter:1 map:42 product:11 mar:1 utilise:1 singular:6 may:14 rm:1 after:1 derived:1 minimized:4 dx1:3 diagram:1 applications:3 tries:1 date:1 fi:3 minimizes:4 geometrical:1 data:1 ǫz:9 transposed:1 stress:1 natural:5 remember:1 imply:3 computations:2 lemmas:2 explicit:1 st:1 mislead:1 sj:1 so:13 ultimate:2 fundamental:2 american:1 integrand:1 order:19 travel:1 interpretation:1 dx:16 developed:4 over:5 move:2 vary:1 murray:1 produced:2 paper:7 through:1 statistical:3 existence:3 satisfies:4 its:5 continuity:1 derive:1 paradoxically:1 how:1 interesting:5 affine:1 sη:1 horizontal:1 coordinates:6 forms:2 nonholonomic:1 choose:1 jacobi:1 derivative:3 schmidt:1 defining:1 image:2 symmetrization:1 non:3 combination:1 views:1 innermost:1 introduce:3 primary:1 framework:1 yz:1 identically:1 documented:1 now:1 riemann:1 eigenvalue:12 term:14 equality:2 explains:1 university:2 2x:4 2y:3 orthonormal:11 transmission:2 iff:5 2ei:3 l2:1 each:5 found:1 side:5 characterized:2 mean:4 domain:1 arxiv:1 ei:45 tension:4 series:20 energy:5 reduce:1 gaussian:4 related:1 negate:1 ball:4 obtains:2 measure:3 substantially:1 relates:1 event:1 es:1 out:2 maximizes:2 shown:3 monographs:1 rq:1 space:16 gradient:2 xv:1 since:33 rx:2 concentrated:1 obstructions:1 ij:1 rei:1 reader:2 denoted:6 formula:12 rn:5 induced:8 suffices:3 correct:3 math:1 shows:11 earlier:1 reformulation:1 theory:5 written:4 clarifies:1 differ:2 quite:1 admits:1 difficulty:1 completely:1 base:1 bayes:14 conflicts:1 equipped:3 estimate:1 likelihood:1 generate:1 dso:1 r4:1 definition:3 derivation:2 r2:1 4a:1 geometry:16 phrases:1 omit:1 hypoelliptic:2 levi:3 times:1 turn:1 inputs:1 unknown:1 probab:2 onto:3 think:1 first:8 xj:2 simplifies:1 daunting:1 utilizes:1 ri:1 variables:1 thesis:1 number:2 multiplication:2 done:1 construct:2 open:3 summarize:1 idea:1 given:4 perturbation:1 geodesic:4 introduction:2 leading:1 adjoint:5 ricci:6 system:3 least:2 their:4 assumption:1 identity:7 calculations:5 convention:2 white:1 submersion:7 structures:2 unpublished:1 speaking:1 rǫ:27 tool:1 proving:1 accords:1 part:9 too:1 somewhat:1 x2:1 schr:1 requisite:1 completes:1 positively:1 population:1 distance:5 expy:12 expx:10 sections:5 require:1 expp:1 depends:3 final:1 determined:3 were:2 expa:1 gives:2 expg:3 minus:1 deciding:1 fashion:1 sees:5 topics:1 modern:1 argument:1 manner:1 conjugate:1 need:2 curved:1 any:2 viewed:4 relatively:1 forced:2 constructions:2 zero:1 lim:2 latter:3 r3:1 amari:1 montgomery:2 note:2 potential:1 take:2 simplified:2 finding:2 new:1 unconstrained:1 subject:2 formulas:6 added:1 multiple:1 appl:2 trace:6 normal:7 ıve:1 collaboration:1 object:3 systems:1 metrics:2 extending:1 ker:3 connected:3 amongst:1 remarks:3 nuisance:1 intrinsic:1 why:3 subtracted:1 tθ:4 considered:1 clear:6 sometimes:1 curvatures:1 landsman:1 points:1 exp:7 typically:1 notion:1 fact:4 precise:1 show:7 random:3 converge:1 k7l:1 spaces:5 solutions:1 masks:1 civita:3 especially:1 trivial:3 d0:1 fibre:2 investigate:1 based:2 parameters:2 state:4 should:3 lemma:31 only:3 ricm:4 habilitation:1 coefficients:1 indeed:1 integrable:1 rice:1 local:4 hope:1 boris:1 do:4 his:2 dominant:1 notation:3 means:1 dg:2 connections:1 fractional:1 dc:1 foremost:1 cannot:1 dz:1 roundabout:1 words:3 negated:1 dv:2 compute:3 dt:1 du:3 boundary:3 dp:6 secondary:1 geometries:1 initial:1 fields:2 differential:10 yield:2 nθ:2 twice:1 hypo:1 fixed:3 view:1 riemannian:59 set:2 modulo:1 computed:2 exists:2 observes:2 frame:7 maximum:1 observed:1 edition:1 computes:4 radius:8 result:2 bei:1 kinetic:1 lb:1 techniques:2 3jz:1 tensor:11 subsequent:2 wikipedia:1 symmetric:3 behind:1 quickest:1 closed:2 between:10 invariant:1 geometric:6 approach:6 clerk:1 terms:4 uk:2 tensorial:2 nature:1 complement:1 uj:4 however:6 κa:2 regional:1 hypothesis:4 here:3 key:2 article:1 problem:10 minimizing:1 both:3 essentially:2 last:1 many:1 density:1 connection:8 context:1 collection:1 contribution:3 estimation:16 whole:1 finds:1 monograph:1 comment:1 point:3 simple:2 ca:1 asymptotically:5 harmonic:7 2nd:1 dimensional:1 na:2 simply:1 sequences:1 associated:3 throughout:1 fj:1 described:2 commutative:1 idθ:6 basis:2 addition:1 skew:1 due:1 laplacian:10 implicit:1 ai:1 much:1 interest:1 basic:1 expected:3 ak:3 important:1 define:11 field:9 direction:2 arises:1 eθ:1 am:2 propositions:1 wǫ:3 covariance:5 observe:1 optimality:1 proven:1 angles:1 jǫ:1 bayesian:61 denote:1 geodesics:1 manifolds:6 case:11 hodge:1 exponential:3 ǫd:1 might:1 expanded:2 ǫo:2 evaluated:1 sublaplacian:1 aim:1 euclidean:9 while:10 proves:3 suppose:1 compactness:3 error:2 aid:1 possess:1 property:3 conformal:1 unsatisfactory:1 almost:1 metric:13 thus:5 minimizers:2 dg2:12 tφ:2 itself:2 im:1 dual:1 ambient:1 vanish:1 ric:1 marsden:1 righthand:1 interdisciplinary:1 james:1 powers:1 make:3 tour:1 same:3 proceeds:1 parts:9 adjointness:1 hessian:2 largest:8 proved:1 several:3 composition:1 difficult:1 independent:4 used:7 see:4 lie:3 declaring:1 effect:1 hand:6 3n6:1 uses:1 eells:2 frequently:1 totally:2 passing:1 expand:2 recent:1 centred:3 expense:1 off:3 maximizing:1 largely:2 minimize:1 expression:2 ıvely:1 well:5 analysis:1 without:3 comes:1 easily:1 coordinate:1 self:5 left:2 isometry:2 surveys:1 λp:2 manifold:8 invariantly:1 less:1 being:1 generally:1 resp:20 obtain:2 seen:1 underlying:2 facts:1 elect:1 speed:1 previous:4 oriented:1 cut:1 infinitely:1 jost:1 other:5 easy:1 theorem:18 input:1 extensive:1 formal:1 real:5 march:1 eigenfunction:4 secondorder:1 couple:1 possible:1 early:3 possibly:2 ej:19 queensu:1 using:3 ams:1 unique:3 coincide:1 occurring:1 geometers:1 loss:1 like:2 particle:1 follows:8 reduces:2 yields:7 characterizes:1 anti:2 immersions:2 aη:1 essential:1 depend:2 mathematical:2 sketch:1 because:2 methods:1 understand:1 conditional:1 some:7 identified:1 exposes:1 understood:1 examples:1 choosing:1 respect:1 curious:1 proofs:1 neglecting:1 projecting:1 2ej:9 leaf:3 αa2:1 demonstrates:1 minimax:15 opposite:1 isometrically:2 integration:6 planck:1 providence:1 does:3 decomposition:3 masked:1 provides:1 conference:1 noise:1 scientific:1 power:3 bl:1 equivalent:1 l1:1 bi:2 expansion:7 hǫ:16 step:1 polynomials:1 recalls:1 bx:2 properties:3 injective:1 asymptotic:3 shortest:1 about:3 carried:3 extension:1 simplify:1 theorems:1 o:52 compatible:1 remains:1 range:1 estimator:34 plus:2 diffeomorphism:3 positive:2 orthogonally:1 discusses:1 consequently:4 bloch:1 mast:1 considerations:1 inclusion:13 maxwell:1 into:8 within:1 functional:12 µij:1 locus:1 lies:3 weighted:2 references:1 determine:3 estimators:9 operator:14 next:2 shrinking:1 inspects:1 statistics:5 log:25 springerverlag:1 assumed:5 strictly:1 there:12 3the:1 long:1 class:1 quadratic:1 inner:9 way:4 ed:1 resulted:1 was:4 naturally:4 function:16 hy:1 form:15 regard:2 kingston:1 but:7 sophisticated:1 volume:8 taken:1 repeated:1 construction:4 convergence:1 line:2 observation:1 xi:1 applying:1 embedded:2 society:1 la:5 smooth:29 up:6 us:7 eh9:1 dφ:95 below:1 levit:17 ui:7 dmv:2 sum:1 incomparable:1 distribution:8 similar:1 average:2 mechanics:1 ac:1 taylor:7 constant:8 defined:21 abstract:1 describe:1 linearity:1 accessibility:1 ormander:1 general:6 globally:3 ap:8 single:1 dν:29 right:1 dπ:28 dθ:39 dι:14 innerproduct:1 inf:6 formalism:3 identities:1 dγ:67 constructed:1 functions:5 differentiable:1 drafts:1 no:3 priors:7 submersions:1 when:12 vanishes:11 application:5 interested:2 compares:1 neighbourhood:3 np:6 mathematics:4 theor:2 nice:2 poor:1 explaining:1 apparent:1 star:1 preceding:1 setting:1 problems:8 bundle:12 includes:2 a1:4 a0:5 develops:2 a2:7 a4:8 variable:3 structure:10 building:1 implies:15 assume:6 expands:3 curve:2 dσ:3 rule:2 equivalently:2 implied:1 mass:1 time:1 recalled:1 dϕ:10 requires:3 semilinear:1
|
0705.2541.txt |@word code:1 consider:2 illustrates:1 caused:3 particular:1 bandgap:10 results:4 four:1 lindbladian:2 scalar:1 computation:2 edu:1 consists:1 follow:1 displaying:1 whose:1 calculate:1 notomi:1 waks:1 environment:2 finally:2 tm:2 γo:1 under:2 drazin:1 sent:3 applied:3 supported:1 zhang:1 far:2 frequencies:10 rise:3 wave:3 sons:1 refractive:1 mixing:2 difference:1 vast:1 norwood:1 entire:1 lalo:1 solves:1 level:9 notes:1 t2:23 t1:17 large:9 small:3 enhance:2 optics:3 caltech:1 upper:1 strongly:2 unexpected:1 nikolopoulos:1 weidner:1 miller:1 prediction:1 modified:3 jump:1 surrounding:1 rate:10 enhancement:22 dynamics:2 estimated:1 driel:1 theory:1 even:4 index:1 what:1 nonlinear:12 plays:1 unavailable:1 nano:1 giving:1 sum:1 transforms:1 remain:2 current:1 experiment:1 above:2 σij:1 new:1 increasing:1 contrast:2 coefficient:3 ρaa:3 measurements:1 degree:1 ρab:2 respectively:1 modify:1 here:1 atoms:2 focused:1 σab:2 σaa:1 strong:2 equations:2 change:1 almost:1 incoming:1 parameters:2 institute:2 studied:1 allows:1 amount:1 resulting:1 correct:1 resonance:4 t22:3 makes:2 relation:1 plotted:2 via:3 projection:1 semiconductors:4 explained:1 rudner:1 highly:2 bandgaps:1 hindsight:1 apply:4 total:1 unit:1 gaas:2 plot:2 takes:1 usa:1 army:1 remains:1 positive:1 negative:1 next:1 rodriguez:2 noting:1 memory:1 theoretical:1 more:5 treated:1 clearly:1 solitons:2 operators:1 emission:18 validity:1 normalized:1 varying:1 known:3 cases:1 iii:1 cdse:1 fermionic:2 involve:2 ma:2 room:4 equation:5 work:4 lodahl:1 ρl:2 labeled:1 values:3 temperatures:1 mr:1 following:5 spontaneous:14 example:4 weaker:1 modulation:1 figure:1 predict:2 vos:1 near:1 states:6 effectively:1 numbers:1 allowed:2 simulation:1 occur:1 information:2 hom:1 how:3 significant:1 ordinary:1 ryu:1 parameter:1 oscillatory:1 insb:2 mat:2 may:4 wiley:1 long:1 collection:3 applications:2 plane:1 designed:1 geometrical:1 types:1 natural:1 dynamical:1 effective:4 light:4 approximation:6 grant:1 lines:1 element:1 zns:1 so:1 fundamental:1 operate:1 order:2 displays:3 wigner:1 office:1 displayed:2 aggarwal:1 resonant:2 experiments:1 through:3 still:1 its:4 rapidly:1 thank:1 decay:9 energies:2 interesting:3 vicinity:1 decreases:2 actually:1 absence:2 noninteracting:1 degrees:1 systems:10 rabi:1 decades:1 h0:2 non:4 material:4 haase:1 processes:3 scaling:1 band:1 detunings:5 effects:7 they:3 arakawa:1 now:2 discuss:1 dielectric:5 susceptibility:8 february:1 finite:2 nakaoka:1 university:2 hamiltonian:1 kerr:13 2d:2 realistic:3 magnitude:5 l2:1 reasonable:1 l1:1 2i:1 homogeneous:2 domain:3 en:1 england:2 significantly:1 kleppner:2 fairly:2 generation:2 ed:1 energy:4 ef:1 vuletic:1 used:3 manifests:1 alejandro:1 frequency:5 obtains:4 ez:1 substantially:3 our:1 differ:1 nonlinearities:15 ep:1 out:1 shown:4 dominates:1 matrix:2 furthermore:3 since:6 squared:1 research:1 increase:2 re:7 daniel:1 reinecke:1 lecture:1 dominate:2 ref:5 occurs:1 red:1 fattal:1 fiber:1 linear:1 cheong:1 diagonal:1 possibility:1 quite:1 bayer:1 york:1 diu:1 lambropoulos:1 likelihood:1 definition:1 interaction:2 derivation:1 could:4 transition:1 lµ:3 place:1 vac:2 hence:1 top:1 first:3 γrad:10 manuscript:2 number:1 intuitively:1 smaller:1 relations:1 joannopoulos:4 electronic:4 several:1 given:3 necessarily:2 temperature:7 tannoudji:1 introduction:1 eqs:2 system:12 approximately:1 their:1 master:1 susceptibilities:2 john:4 low:1 shifted:2 shell:1 enhancing:2 wavelength:1 relative:1 exactly:2 immediate:1 direct:2 environmental:1 optical:14 superoperator:1 authors:2 than:3 population:2 wide:2 scheme:2 johnson:3 approximations:1 grey:1 solomon:1 future:1 contrary:1 amplitude:3 were:1 powers:1 perturbative:1 eggleton:1 san:2 electrodynamics:1 cohen:1 modern:1 substantial:4 need:1 orders:5 lie:1 eq:5 presents:1 studying:1 self:1 predominantly:1 polarization:7 majority:1 high:1 materials:5 take:1 sakurai:1 negligible:1 strengths:2 switching:1 blue:1 play:1 electric:2 established:1 wells:1 marin:1 most:4 letter:1 phase:8 daad:1 measured:1 acknowledges:1 nonlinearity:8 considered:1 calculated:3 steady:2 roundy:1 χe:1 part:3 principle:3 conservatively:1 physics:1 incomplete:1 phenomenon:1 show:6 past:1 probe:3 taflove:1 merit:1 rotating:1 fink:1 γnr:11 fine:1 principal:1 impact:1 based:2 knowledge:1 weisskopf:1 conduction:1 outside:1 should:4 only:4 factor:8 mechanics:2 local:3 2mr:1 slows:1 means:1 de:1 overall:1 tailor:2 rest:1 competing:1 dt:2 conjunction:1 qs:1 reading:1 erich:1 photonics:1 course:1 numerous:1 arxiv:1 yield:3 bay:1 investigate:2 paper:1 predicted:5 ωph:1 view:1 purcell:19 achieved:2 lifetimes:1 lett:10 maximum:4 observed:5 intensity:1 discussions:1 close:6 contour:1 best:1 weller:1 placed:3 phonons:1 fascinated:1 dipole:4 state:4 previous:2 approach:2 terms:3 nature:2 component:1 however:5 comm:1 no:3 suppressed:2 both:1 limits:1 many:2 region:1 according:1 contract:1 dated:1 contribution:1 expression:2 experimental:2 grounds:1 cj:1 ci:1 exemplary:2 timescale:2 point:1 simple:2 ca:1 harmonic:1 environments:1 2nd:1 consideration:1 cancel:1 moreover:3 suppressing:1 along:1 ct:1 considering:2 unusual:1 described:4 katsufuji:1 second:1 lattice:2 come:1 radiative:9 due:1 been:5 quickly:1 detuning:2 detrimental:1 damping:7 interest:1 expected:2 ph:1 fig:11 dots:1 lane:1 direction:1 enable:1 corresponding:2 observable:1 suppress:2 photon:1 bulk:1 agrawal:1 observe:2 c1:1 general:6 case:4 intriguing:1 look:1 exponential:1 pacs:1 might:1 reliable:1 expanded:1 value:2 air:2 will:14 forchel:1 while:7 behavior:1 applies:3 addisonwesley:1 opt:6 losses:2 coupled:1 phenomenological:1 moti:1 thus:7 middle:2 itself:2 im:1 crystals:2 technology:1 disappear:1 different:1 fibers:1 generic:1 make:1 cross:1 same:2 any:2 complex:1 quant:1 modification:2 regime:7 higher:1 independent:1 literature:2 leads:1 see:1 diego:2 effect:16 hand:1 average:2 moment:1 levels:1 nanocrystals:2 changing:1 recent:1 weakly:1 off:1 modes:1 nevertheless:1 hwang:1 modeled:3 well:7 roughly:1 englund:1 academic:2 edge:1 solve:1 very:1 model:4 otherwise:1 ρba:3 ρbb:3 less:1 vuckovic:1 generally:3 obtain:3 photonic:16 atomic:5 yamamoto:1 scattering:1 divide:1 note:5 density:5 mcdonald:1 smith:1 exclusively:1 iω:1 source:1 valid:1 treatment:1 samples:1 input:1 polarized:1 chuang:1 real:2 nielsen:2 rev:8 easily:1 bands:1 term:1 cf:1 increases:1 vacuum:5 press:4 using:5 dahan:1 color:3 apart:1 loss:6 modifications:1 like:1 lost:1 systematically:1 follows:2 signal:2 performing:1 serves:1 manifest:1 coolen:1 either:1 become:1 valence:1 essential:2 preskill:2 therein:1 www:1 because:3 people:1 revert:1 some:4 understood:1 little:1 peter:1 scale:2 describing:1 nikolaev:1 illustrated:1 sufficiently:1 cavity:2 resonances:3 opposite:1 per:1 considers:1 supercontinuum:1 does:2 prog:1 demonstrated:1 core:1 detuned:2 rep:1 ωba:4 processing:2 soljaˇci:1 agreement:1 illustration:1 soljacic:1 although:2 burr:1 zimmermann:1 analyses:1 properties:3 twolevel:1 about:2 would:3 extending:1 freedom:1 discussed:2 reduced:2 cavities:1 artech:1 peak:1 considerations:2 discretization:1 cambridge:5 markovian:1 presence:4 maxwell:1 into:1 numerically:2 implications:1 bath:1 down:1 appropriate:1 references:1 primarily:1 steven:1 operator:1 proportional:1 valuable:1 mark:1 theoretically:2 marie:1 van:1 elastic:1 segev:1 assumed:1 support:1 there:4 specifically:2 dispersion:3 start:1 physicists:1 way:2 house:1 analyze:1 was:1 opens:1 function:2 medium:3 ωg:2 boyd:2 investigations:1 phenomena:2 jun:1 triangular:2 but:1 volume:1 atom:1 nanotechnologies:1 fg02:1 true:2 fects:1 embedded:1 inside:3 up:4 lessened:1 crystal:8 below:1 decays:2 limit:1 ωa:2 demonstrate:2 ωb:2 similar:2 display:2 strengthens:1 expect:4 originating:1 constant:3 defined:6 certain:3 influence:3 generating:1 resultant:2 quantum:12 single:4 periods:1 simulations:1 lifetime:1 formalism:1 computational:1 physical:6 again:1 nm:1 variety:4 exciton:1 tailoring:1 when:3 slusher:1 virtual:1 field:6 other:2 role:2 normal:1 department:2 conclusion:1 elements:1 quang:2 center:1 important:2 massachusetts:2 suppression:5 lenz:1 structure:4 σbb:2 algaas:2 tailored:1 σba:1 implies:1 controlled:1 larionov:1 holes:2 phonon:1 mass:1 dot:1 time:4 http:1 robert:1
|
0705.2542.txt |@word limited:3 ciao:3 magnetic:1 luminosities:1 four:7 consists:1 assembled:1 looking:1 calculate:3 aug:1 ergs:4 under:2 risk:1 fabbiano:1 tantalizing:2 figs:1 summarized:1 affect:2 heasarc:2 systemic:5 indices:1 reliable:1 force:1 miller:2 consistent:5 estimates:1 direct:1 second:1 estimated:2 even:3 established:5 errors:8 ned:6 selected:1 above:5 new:6 increasing:1 coefficient:1 meg:16 here:7 atoms:1 ionization:36 rafanelli:1 active:2 diagnostic:1 obtained:10 study:23 ignoring:1 akn:7 changes:1 blackbody:2 overabundance:1 9n:1 highly:1 counts:7 total:11 plot:3 would:3 negative:2 temperatures:1 therefore:12 type:31 separated:1 naive:1 warm:92 serlemitsos:1 hole:9 must:4 md:3 mg:3 work:2 theories:1 erg:6 mp:1 mr:1 example:8 give:2 indicates:1 caution:2 absolute:2 end:2 provide:3 feature:3 far:5 methodology:3 significance:6 answer:2 description:1 seds:4 after:1 confirmed:1 caldb:1 lay:1 spectrometer:2 law:17 attempt:1 third:3 recombination:1 complexity:4 contributes:1 decreasing:1 ultraviolet:1 acknowledges:1 order:9 wind:6 decl:1 interpretation:1 over:5 vary:5 satisfied:1 matsumoto:2 before:1 fit:25 expectations:1 exhibits:2 better:3 fig:5 versus:2 break:1 band:14 effects:2 they:5 oxygen:2 reasonably:2 classified:1 filling:11 each:12 side:2 mean:12 telescope:1 mchardy:2 carry:3 strips:1 navy:1 laboratory:2 cosmologically:1 driving:1 gradient:1 rx:2 forty:1 mason:2 re:1 ra:3 gov:1 yaqoob:30 associate:1 given:10 free:1 subtended:1 estimate:3 telescopes:1 r2:1 days:4 signature:1 onto:6 already:1 features:14 primary:1 another:2 clarity:2 hoof:1 illustrate:1 xii:1 approximately:3 intermediate:1 rates:5 listed:7 xiv:2 binned:3 distance:10 showed:4 likely:4 normalizing:1 matter:1 iron:1 mind:1 spectrum:20 seen:3 seem:1 branduardi:3 relatively:3 absorber:86 strength:1 latter:2 responsible:2 predominantly:1 fitting:17 absorbed:9 shall:1 nem:1 retaining:1 observation:7 calculated:2 flow:1 inferred:1 accounted:2 principle:2 fitted:4 signatures:12 halpern:2 infrared:1 radii:1 gauge:1 hetgs:17 spite:2 explain:1 adequate:1 hrc:2 do:6 de:2 degradation:4 altogether:1 report:1 runs:1 pearson:1 covering:5 method:6 reference:2 brinkman:2 detection:1 depends:2 result:2 discussions:1 best:21 techniques:1 propulsion:1 away:2 mul:1 approach:1 preserve:1 triplet:2 terms:1 extend:2 nature:2 weak:9 however:21 cut:3 contamination:3 modeling:2 improve:1 received:1 uncertainty:1 heating:1 mildly:1 exceeds:1 contribution:1 argue:1 2nh:2 blending:1 highenergy:1 broadens:1 radiative:1 three:19 been:13 much:3 interest:1 expected:4 deeper:1 mcg:13 concerning:1 uncommon:1 spie:1 publicly:1 originate:2 aim:2 dept:1 viii:12 balance:2 leaves:1 procedure:2 tim:1 ix:5 seven:3 ir:2 l83:1 ic:7 id:1 bepposax:1 containing:2 perform:1 make:1 complex:7 potentially:1 several:9 independent:1 pick:1 hand:5 chelouche:1 n21:1 liedahl:1 paradigm:1 unified:2 proposed:1 newton:12 proposer:1 proposes:2 thanks:4 yet:4 previous:2 had:2 board:3 plasma:1 arav:2 breaks:1 possible:9 collisionally:2 upturn:1 possibly:1 whichever:1 indicative:1 mushotzky:4 background:9 performing:1 interestingly:1 altough:1 deal:1 j2000:2 escape:2 ignore:1 comments:1 umd:1 gsfc:2 core:6 minimization:1 rosat:1 greenbelt:1 filaments:1 permitted:3 o:33 plus:3 eight:1 efforts:1 otani:1 soc:1 mbh:1 presence:1 marshall:2 down:2 lies:3 right:1 surround:1 intrinsic:14 support:2 initial:1 approximate:1 width:1 fraction:4 astrophysics:2 was:37 lowest:3 medium:3 form:4 attempted:1 differences:1 solar:3 removed:2 true:2 arrays:4 maximum:2 kaspi:1 emis:1 panels:1 blueshifted:4 abstract:1 statistic:4 evidence:6 xiii:1 distributions:1 check:1 constructed:2 nh:12 discriminate:1 no:12 na:1 when:10 ne:26 ny:2 test:2 optically:1 picture:2 intend:1 models:18 15e:1 variable:1 regime:1 assume:1 time:5 nuclei:2 logarithms:1 global:1 0kev:1 collinge:3 garching:1 displaying:1 ward:3 depend:1 graph:1 answered:1 finally:2 vem:1 kaastra:7 choice:1 anonymous:1 exact:1 level:5 did:3 discrete:1 jhu:2 signficant:1 overlaid:1 der:1 upper:4 mn:1 spectral:36 appear:1 favour:1 uniform:18 current:1 emitters:1 satisfy:1 understanding:1 groups:1 appears:4 thirty:1 dusty:4 studied:4 behar:11 fabrizio:1 historical:1 poisson:1 studies:4 mimicked:1 absorbers:21 extra:1 mcguirk:1 sako:14 positive:1 predictions:1 properties:6 opposed:1 criteria:4 scope:2 associated:4 marginally:5 apparent:3 distribution:2 emitting:9 cases:7 behalf:1 originally:1 modified:1 zhao:2 values:6 cal:4 following:2 making:1 claim:1 figure:15 december:1 confused:1 sample:46 performed:1 allowed:1 spanning:4 j1655:1 rays:2 discussion:2 criterion:2 pure:1 parameter:14 product:2 mar:1 may:26 use:4 produce:2 data:45 natural:1 correlate:3 su:1 si:4 ionized:13 so:17 outflowing:6 wavelengths:3 indeed:1 displayed:1 years:1 course:4 statistical:6 ogle:3 peterson:2 still:2 derive:2 group:1 acknowledge:1 vicinity:1 attraction:1 constitutes:1 ours:2 non:2 within:4 recipes:1 warranted:2 nov:1 now:1 n03:1 kerr:1 fabian:4 ledd:1 x10:4 weighted:7 significantly:1 eg:1 gaussian:1 snapshots:2 eb:2 gaps:2 rydbergs:1 galactic:5 ew:8 ev:1 shown:2 ferland:2 space:2 furthermore:3 increase:1 investigation:2 suggesting:1 dominate:1 shows:14 romano:1 quite:5 complicated:2 care:1 derivation:2 widths:4 transition:4 iterative:1 turn:1 aboard:1 2005a:1 2005b:2 first:15 origin:6 xi:1 omitted:1 xe:4 xy:2 specifically:1 directly:4 xr:5 array:1 rxte:1 george:11 city:1 little:1 necessarily:1 indicate:1 cooling:1 brevity:1 speaking:1 gives:1 mostly:3 continuous:1 centroids:2 representing:1 than:31 population:1 wide:2 analyze:2 effective:6 l44:1 require:3 modelled:1 future:2 photoionized:16 were:28 sao:1 correction:2 argument:1 turner:11 any:3 note:19 destroy:1 strengths:1 begin:1 multiple:8 correlation:7 falls:1 ordinates:1 intergalactic:1 printed:1 latex:2 especially:1 average:1 typeset:1 10x10:1 typically:5 operations:1 spaced:1 show:5 merit:3 xmm:12 ratio:2 only:24 black:9 get:1 simplistic:1 cannot:5 perola:1 blends:1 secondary:1 reveal:2 krolik:4 yield:2 summary:1 discussing:1 lbol:3 reveals:2 arfs:1 relative:5 namely:1 college:2 ignores:1 detect:2 extragalactic:1 subsequent:1 energetics:1 enough:1 morales:3 between:18 justified:1 kool:1 gratefully:1 analyzed:1 come:3 originates:2 dates:1 outflows:14 many:7 region:2 21cm:3 according:2 contract:2 xspec:2 nearby:1 reprocessed:1 ptak:3 overview:1 period:5 pog:1 kinkhabwala:2 absence:1 workshop:1 combined:3 engine:3 elvis:10 photon:5 observers:1 obscuring:2 photoexcitation:1 those:10 case:10 cash:2 investigating:1 ization:1 korista:1 bian:2 cluster:1 bias:1 motivated:1 edelson:1 binary:1 different:12 etc:1 scientifically:1 same:10 archive:2 shifts:2 html:6 cen:2 physical:3 status:1 investigated:2 closest:1 driven:2 edges:4 nicastro:1 roughly:2 peculiarities:3 without:1 components:36 model:49 being:4 generally:4 rest:2 imprint:1 ch:9 summed:5 speed:1 hint:1 photons:1 conclude:3 seems:2 except:2 instrument:10 grating:10 prominently:1 around:6 early:2 grid:1 mon:1 using:12 accepted:3 moreover:1 vertically:2 pounds:8 velocities:14 serves:1 either:4 fully:2 output:1 reduced:1 specified:2 conservative:4 critical:1 power:17 equivalent:1 mckernan:20 broken:6 padmanabhan:7 comparison:5 central:11 hopkins:1 discussed:2 bottorff:1 iwasawa:1 inclusion:1 communication:2 references:5 log:14 area:5 removing:1 there:15 start:1 heg:3 low:25 illuminated:1 jun:2 amongst:1 sophisticated:1 mnras:8 default:2 systematics:1 2003b:3 2003a:6 nandra:5 agree:3 strongly:1 certain:1 describe:1 general:6 planetarium:1 ar:1 file:2 fill:1 again:1 acknowledgments:1 caltech:2 poor:2 separate:1 includes:4 important:7 included:3 brandt:1 curve:2 mass:22 resolution:17 original:1 abundances:2 consider:1 forbidden:4 astron:1 lacs:1 sambruna:1 disk:7 careful:1 ty:1 kα:11 mpe:1 worse:1 very:11 ostriker:2 worst:1 interpreting:1 joined:1 large:2 small:8 abbreviated:1 ten:16 fuerst:1 tex:1 rate:17 pass:1 further:2 gunn:1 thickness:1 version:2 public:3 fekα:2 compilation:1 component:15 ranges:2 threads:1 excess:7 strong:5 observing:1 published:1 collated:1 narrow:10 via:2 followed:1 vii:20 analyzing:1 establish:2 eddington:1 distinct:1 comparing:2 taken:3 blazars:1 more:19 knows:1 corrected:3 emission:47 instrumental:1 tested:3 particular:5 known:2 middle:1 science:1 equation:1 remain:1 vs:2 nine:6 caveat:1 dec:3 history:1 compare:1 prompt:1 stated:3 f9:8 states:8 minimum:4 numbers:1 10kev:1 information:5 respective:2 rather:6 ryd:1 goad:1 fhwm:1 blustin:18 weaknesses:1 derived:3 plane:1 fe:36 response:4 spectra:53 parameterized:1 assign:1 blueshift:1 fundamental:2 mission:2 held:1 thermal:1 paper:3 through:2 kinetic:1 its:3 style:1 rapidly:1 termed:1 energies:5 actually:3 detected:8 might:3 alter:1 good:3 return:1 propose:1 encouraging:1 yr:4 pak:1 2p:1 hereafter:1 always:1 assemblies:1 chandra:39 radial:2 found:14 referred:1 generation:2 energy:16 hard:3 used:22 extended:1 expect:2 quantum:1 beyond:5 dominates:1 missed:1 since:18 hayden:2 plotting:1 lawrence:1 asc:1 brightest:1 members:3 sbh:3 rises:1 generate:5 definition:2 unresolved:6 4329a:6 american:1 relativistically:2 6xy:1 exhibited:6 number:3 done:2 fluxes:4 miss:2 equi:1 temperature:3 jet:1 introduction:1 moderately:3 least:1 assumption:1 calculations:1 compromise:1 molecular:3 observations:23 relationship:2 park:1 optical:3 believe:3 asca:1 reflection:1 king:1 scheme:1 critically:1 underpinning:1 determined:2 treated:1 outstanding:1 paerels:2 quasars:1 orders:7 lie:2 zero:3 depending:3 severe:1 ancillary:1 unconstrained:1 2001a:1 towards:2 quote:1 most:12 significant:7 services:1 measured:1 clear:3 sometimes:1 cover:1 km:24 ks:1 part:2 electrons:1 kt:1 velocity:43 physics:1 lying:1 particularly:1 phenomenon:1 v11:1 evaporation:1 find:3 parameters:13 less:15 factor:12 ncg:1 columns:1 his:1 dominant:1 lyα:18 spurious:2 observatory:1 fastest:1 during:1 fairall:1 exhibiting:5 continuum:28 arxiv:1 common:2 set:2 sep:1 unpublished:1 see:21 sed:9 close:3 currently:2 smallest:1 various:1 probably:1 numerous:1 rosa:1 available:3 recently:1 statistically:5 missing:1 spectroscopic:1 distinguish:1 both:6 folding:1 sensitive:4 became:1 baltimore:1 point:3 simple:15 corresponds:2 proton:1 coincidence:1 simply:1 contemporaneous:1 observatories:1 complication:1 described:7 due:16 pc:1 laor:1 ph:2 kriss:4 pn:3 walter:1 photoionization:14 referee:1 flight:1 nrl:1 gas:16 modelling:7 else:1 systematic:2 crenshaw:5 solid:3 straight:1 empirical:1 reliably:2 apjs:2 itself:2 grant:2 shorten:1 shorter:1 netzer:13 ews:3 products:1 ray:59 kn3:2 higher:5 literature:8 levels:1 purpose:1 robust:1 focal:1 recent:1 lower:10 database:7 analysis:23 picks:1 edge:1 know:2 distances:1 wilkes:1 shape:1 intervals:2 atomic:1 questions:5 useful:5 tables:3 rgs:5 conclusions:4 source:36 location:2 input:1 remaining:3 bin:2 finding:2 shaped:1 signal:2 disks:2 separately:1 flux:10 yields:1 continua:4 pertaining:1 often:4 some:20 letgs:10 added:1 sight:1 scale:1 affects:1 measurements:7 integration:1 per:3 l13:1 centroid:2 epic:3 proc:1 inclination:1 bl:1 bm:1 bh:1 agreement:1 step:2 plots:3 bx:2 anything:1 gratings:3 range:21 raassen:2 into:2 johns:1 nsf:1 appropriate:2 reabsorbed:1 uncertainties:1 span:1 mkn:27 twodimensional:1 gases:1 canizares:2 translate:1 files:2 considerably:1 murphy:3 link:1 atom:1 line:39 considerable:2 uta:7 consist:1 characteristic:2 uv:5 up:4 us:3 spectroscopy:2 heterogeneous:1 similar:4 torus:7 broadened:2 constant:1 dof:1 redshifts:1 single:7 puzzling:1 nas8:1 preventing:1 points:2 department:3 gro:1 manhattan:1 lend:1 problems:1 prepared:1 structure:1 agn:150 suffers:1 methodologies:1 algorithm:1 required:1 nasa:7 markert:2 ashton:1 having:3 code:2 issued:1 results:20 existing:1 torii:1 edu:9 winds:2 contributions:1 issues:1 cda:1 excludes:2 outwards:1 maryland:1 include:4 indicating:3 ionizing:6 electron:6 lockman:2 trough:2 telling:1 transmission:2 radio:2 noted:1 smaller:1 acis:6 index:1 3c:7 3d:1 led:1 lee:5 respectively:4 believed:2 mewe:1 separation:1 fifteen:9 deduced:1 great:2 larger:2 leaving:1 suggests:1 resulting:4 makes:1 reprocessing:1 apr:2 private:2 apj:29 confidence:10 feb:2 next:1 few:2 camera:1 themselves:1 becomes:1 hints:2 account:5 chianti:2 reproduce:1 anywhere:1 thin:2 fe0:3 fulfill:1 meer:1 bent:1 process:2 high:19 assumptions:3 bend:1 reynolds:17 hydrogen:4 six:1 regions:3 varies:1 steenbrugge:9 detectors:1 gabel:2 fits:8 yielded:2 xstar:24 lines:31 correspond:2 allow:2 bins:3 interpreted:1 produced:2 whilst:2 kallman:4 including:2 fwhm:4 galaxy:1 superior:1 masses:1 redshift:4 instruments:3 kraemer:7 greater:2 docs:1 material:16 circumnuclear:1 mitigated:1 subtraction:1 february:1 university:3 sufficiently:1 magnitude:7 constraints:2 bump:2 inverted:1 thirteen:1 sion:1 jagged:1 our:65 transitions:5 out:7 matt:2 ηc2:1 rep:1 cause:1 galaxies:6 completely:1 york:3 interaction:1 geometry:3 could:10 times:1 assumed:1 ionic:1 nedwww:1 l31:1 reached:1 biasing:1 adopted:1 their:7 accretion:14 final:1 shell:5 lists:2 too:3 constituent:1 july:2 observed:34 ipac:2 lion:12 limiting:1 individual:13 exhibit:10 subtract:2 unlikely:2 need:1 constrained:2 apparently:1 clearly:2 angle:2 mil:1 studying:1 incorporating:1 detector:1 accuracy:4 unless:4 bolometric:2 jul:1 instrinsic:1 class:2 astro:3 snapshot:1 schulz:1 constrain:5 fact:1 bestfit:1 selection:6 absorbing:12 text:2 supported:1 nowak:2 superimposed:1 thicker:2 based:7 ngc:109 should:3 candidates:1 employed:1 partially:2 local:2 equilibrium:1 means:1 hetg:2 overall:3 bear:1 ones:1 words:1 collisional:1 processes:1 densities:9 luminosity:8 willner:1 teams:1 contain:1 requirement:1 computed:2 frame:4 turbulent:1 intensity:2 operated:2 ar4:1 cold:4 goddard:1 phases:2 attempting:1 tend:3 xray:1 state:14 tens:1 kinematically:1 variability:2 comparable:6 porquet:2 efficiency:2 key:3 kev:29 emitter:3 observable:1 limits:5 equal:2 april:2 harvard:5 figures:2 behaviour:1 otherwise:4 detailed:11 relevant:1 co:2 author:1 cm:31 cl:5 poissonian:1 ca:1 narrower:1 cf:2 cz:3 cxc:3 table:30 ct:2 kinematic:2 powered:1 wills:1 kahn:5 outflow:36 utilizing:1 aj:1 corresponding:5 sufficient:1 binning:1 bulk:1 mail:1 last:1 reeves:3 present:15 multi:1 value:9 will:4 carleton:1 almost:1 uttley:1 thus:2 helped:1 examined:1 perhaps:1 radiation:11 indistinguishable:1 unity:4 parts:6 largest:4 units:1 infer:1 practice:1 http:10 pha:2 effect:2 ion:2 v2:1 raymont:4 dust:1 off:4 center:2 nevertheless:2 well:12 patterns:1 residuals:1 redshifted:3 position:1 drawing:1 heavily:8 accurate:1 obtain:1 sources:8 predicts:1 density:30 absorption:63 reasons:1 warrant:1 unprecedented:1 putative:2 increases:1 five:8 community:1 utas:9 turbulence:1 prominent:9 loss:2 like:4 excluding:1 alternatively:1 accelerating:2 seyfert:5 martin:1 become:1 soft:34 page:5 dubau:1 therein:3 because:3 grids:11 sequence:1 growth:1 lead:1 broad:5 does:10 assuming:1 limitations:3 noise:2 stellar:1 pressure:3 although:4 offset:14 fluorescent:1 analyses:2 supermassive:4 panel:4 about:8 carried:5 column:36 hot:4 carries:1 insufficient:2 software:2 a9:1 gehrels:2 astronomy:2 van:2 additional:7 museum:1 inner:5 dewey:1 naturally:1 funnel:3 agrees:1 but:13 volume:4 neutral:5 highest:3 he:5 count:3 made:7 places:1 whether:2 variations:1 below:5 limit:3 problem:1 bandpass:8 wavelength:3 compared:6 calibration:2 v500:4 detail:2 other:10 compares:1 details:1 stat:1 inherently:1 gap:7 exposure:1 factors:4
|
0705.2543.txt |@word limited:3 partial:1 chinese:2 luminosities:2 results:23 mild:2 edu:4 lacy:1 research:1 calculate:1 γu:4 excluded:1 under:2 case:3 lack:1 mpc:1 evolves:1 very:3 focus:1 anonymous:1 condition:1 presented:3 list:1 confirmed:1 large:5 discrete:1 adjust:1 small:1 relation:1 upper:1 smaller:1 slower:1 zi:1 consistent:6 approximation:1 likely:4 pasp:1 further:3 estimated:8 substitute:1 spectral:1 index:5 errors:1 power:11 section:1 current:2 version:1 above:1 referees:1 method:8 simultaneously:5 respectively:12 component:1 here:8 understanding:1 objects:4 china:4 groups:9 others:1 active:2 strong:2 equations:2 change:1 obtained:8 dividing:1 institute:1 study:3 larger:2 allows:1 prior:1 survey:7 studies:5 appropriately:1 useful:1 divide:2 first:2 addressed:2 estimate:4 unit:1 predicted:1 use:1 cosmological:1 usa:1 prove:2 remains:1 contains:3 predictions:1 few:1 therefore:15 scope:1 type:3 blazars:1 more:5 sharing:1 populations:3 apparent:34 emission:1 validity:2 appendix:4 normalized:1 excellent:1 rare:1 cases:2 aligned:1 high:19 indicates:2 science:1 equation:4 work:2 affected:1 lorentz:21 values:10 thin:2 example:4 lφ:1 beijing:2 compare:3 figure:13 give:1 calculation:2 relativistic:16 suggestions:1 sample:31 uah:1 identified:1 assumptions:1 performed:2 axis:1 end:1 divided:1 utilize:1 regions:5 fit:5 pure:2 fix:1 parameter:4 sin:3 fr:12 galactic:1 superluminal:1 may:6 max:3 after:1 lac:3 summarize:1 law:11 data:18 types:4 flux:5 natural:1 resemble:1 lines:11 ghz:1 differ:1 lδ:2 fundamental:1 correlation:1 acknowledges:1 order:1 bins:2 fastest:1 pointed:1 mainly:1 kjcx2:1 paper:4 including:1 statistical:1 mentioned:1 still:2 snz:1 its:1 find:6 group:7 thank:2 directional:1 ln:1 lo:36 actually:3 better:1 fig:7 lq:1 main:2 into:3 good:1 investigated:3 significant:1 tsinghua:3 they:3 speculate:1 bank:1 successor:1 purdue:1 fully:1 university:2 level:1 l2:7 reasonable:1 each:11 kellermann:4 different:13 another:1 evolve:1 density:4 energy:1 related:1 frequency:1 our:9 beyond:1 special:3 out:2 shown:15 jackson:2 space:3 since:3 denotes:1 safety:1 vlba:3 shows:2 foundation:1 doppler:4 uncertainties:1 galaxies:14 free:1 quite:2 indices:1 approaches:1 complicated:1 besides:1 boosting:2 dθ:3 detecting:1 likelihood:7 wall:2 βu:1 hubble:1 ministry:1 determining:1 could:14 motion:1 caption:1 loud:8 smin:3 probability:3 number:1 utilized:1 multiplying:1 directly:1 thick:2 clarity:1 quality:1 angular:1 size:3 given:3 lister:11 jet:4 indicate:1 introduction:1 fixed:2 adopted:4 their:4 assumption:4 difference:3 scheme:7 structures:1 discussion:2 relationship:1 academy:2 γmax:13 somewhat:2 authors:2 than:3 population:8 distance:2 urry:15 double:1 acknowledgement:1 depends:1 project:3 lmax:2 determined:4 supposed:1 aas:1 were:2 mojave:5 hz:5 cohen:7 spectrum:1 headings:1 quasars:9 any:1 relatively:2 liu1:1 angle:4 min:4 responsible:1 note:1 sciences:2 willott:2 concern:1 accuracy:1 even:2 continuous:1 though:1 who:1 most:2 but:2 frii:1 formulae:1 sufficient:1 intrinsic:35 alabama:1 appear:1 latex:1 observation:1 adopt:6 inferred:2 km:1 kl:3 ks:1 exp:1 velocity:34 constrain:1 physics:4 dot:3 significantly:4 selection:1 random:1 radio:19 inconsistent:1 threshold:1 parameters:15 enough:1 should:5 only:10 factor:25 employed:1 he:1 local:1 do:1 dl:3 notation:1 differs:1 da:2 agns:22 ones:1 dz:1 nearly:1 mention:1 dt:1 du:1 dp:1 typos:1 liu:1 evolution:9 densities:2 indicated:3 luminosity:84 arxiv:1 investigate:2 t03:1 common:1 γl:4 implication:2 ql:1 set:2 national:1 observed:35 see:4 result:21 effectively:1 discussions:2 luminous:3 best:9 subject:1 effects:3 dlo:4 macros:1 written:1 between:9 limit:6 boundary:1 approach:3 available:2 effect:5 reproduced:1 parent:5 importance:1 figure:2 weak:1 however:10 key:2 jets:13 suggested:1 both:2 cos:14 improved:1 limits:1 region:5 conclusions:2 equal:1 context:1 pdf:5 passing:1 whole:7 comes:1 strongly:1 adjusted:1 unclear:1 cn:2 cm:3 simple:4 βmax:1 fixing:3 constant:1 throughout:1 considering:1 due:14 been:2 much:4 combined:2 ph:1 riley:2 engine:1 lgi:3 corresponding:5 θl:4 huntsville:2 lgd:2 bulk:1 angles:1 θp:1 denote:1 present:1 θu:3 applied:1 look:1 mle:1 solid:9 reliable:1 value:9 will:3 zhang1:1 while:1 error:1 bin:5 jy:4 barely:1 orientation:2 characteristics:1 thus:2 vm:1 according:2 ii:12 apjl:1 dual:1 claimed:1 containing:1 shuang:1 make:2 cumulative:1 submission:1 same:6 dγ:9 complex:1 largest:1 limitation:1 several:3 higher:4 independent:2 used:6 http:1 arshakian:2 βapp:33 padovani:12 hand:1 viewing:2 funding:1 v5:1 completeness:2 yuan:2 expand:1 lower:2 center:1 scenario:1 band:1 well:1 roughly:1 analysis:4 obviously:1 patterns:1 without:1 consistency:3 model:9 flat:1 less:1 when:4 accurate:1 obtain:3 valuable:1 reviewed:1 sources:11 shape:5 previous:13 preprint:1 majority:2 δmax:6 jodrell:1 source:4 caltech:1 combine:1 yw:1 match:1 real:1 unification:4 test:6 unification:1 know:1 using:2 unified:2 accepted:1 ruled:1 apj:10 particle:1 fsrq:4 velocities:3 extremely:1 separately:1 arbitrary:1 become:1 www:1 because:2 methods:2 deal:1 some:4 back:1 b1:1 sight:2 proper:3 scale:2 comments:1 provides:1 particular:2 vermeulen:5 slight:2 bl:3 journal:1 l1:12 although:1 found:5 cγ:2 comparison:2 about:5 central:1 constraint:1 discussed:1 o:3 simulation:2 probabilities:4 estimator:2 blundell:1 redshift:40 h0:1 within:4 three:2 references:1 determine:4 difficult:1 marscher:6 performing:1 statistics:1 log:6 assumed:5 support:1 there:6 low:23 astrophysics:2 was:5 a2:3 function:42 complete:3 form:9 extended:1 astro:2 mnras:2 line:9 especially:1 whether:1 maximum:10 us:2 below:1 ωm:1 marginally:2 demonstrate:1 distribution:35 similar:4 examples:1 detailed:2 mails:1 proved:1 b2:1 kinetics:1 abstract:1 describe:3 unreasonable:1 dashed:7 single:6 referee:1 goodness:2 laboratory:1 rawlings:1 dδ:3 education:1 distributions:1 check:1 steeper:2 again:1 compared:1 beaming:2 no:3 na:1 whereas:1 nan:1 website:1 other:5 details:1 papers:1 department:2 nq:11 poor:1 kinds:1 energetic:1 models:1 problems:1 prepared:1 a1:2 a3:3 important:1 included:1 reanalyzed:1 assume:10 required:1 beamed:2 inset:2 confidence:11 time:2 nuclei:1 simplified:1
|
0705.2544.txt |@word represent:1 concept:1 remarkable:2 illustrates:1 varying:3 focus:2 leads:3 during:2 foundations:1 expressions:2 research:1 cases:5 compact:1 depend:2 catastrophe:4 zone:1 simplify:1 passage:3 finally:3 does:1 those:2 th:1 under:2 characterised:3 meanfield:1 global:22 very:7 rise:3 choice:2 vibrator:2 figs:1 mixing:44 difference:1 exact:18 condition:6 entire:1 vibrational:1 hamiltonian:16 turns:1 solution:12 large:2 solved:4 dieperink:2 small:8 eigenvalues:4 nos:1 referred:1 vargas:1 configurations:6 locus:6 upper:4 work:2 occurrence:1 consistent:1 sign:6 approximation:2 fold:3 second:15 displays:2 pass:2 further:1 situated:1 linear:1 even:2 aim:1 section:1 ryckebusch:1 remain:2 expressed:1 64n:2 current:1 consistently:1 version:2 intersect:2 scientists:1 leviatan:1 nine:1 increasing:1 method:4 coefficient:2 full:12 respectively:6 never:1 zamfir:1 equals:1 here:2 behaviour:17 growing:1 mev:4 focused:1 expansion:4 address:1 path:9 along:2 extrema:11 calculate:1 obtained:11 great:1 fwo:1 spite:1 cern:1 gent:1 studied:5 allows:2 simultaneous:1 resulting:3 t20:3 narrow:1 changes:12 summarising:2 york:1 followed:6 projection:1 family:3 discontinuous:2 requiring:1 apply:2 pˆn:6 derivatives:1 use:1 takes:2 sake:1 positive:9 negative:3 france:1 coalesce:1 nucl:5 therefore:2 taken:2 stage:1 type:1 until:3 diagrams:11 more:2 introducing:1 separates:1 formally:1 relevant:1 becomes:6 operators:2 cific:1 corrected:1 validity:1 final:1 appendix:3 particular:2 known:3 projective:2 hole:3 must:6 high:3 keeping:1 include:1 ibm:24 deformed:23 equation:3 saddle:2 det:3 unknowns:1 macroscopically:1 values:13 thin:2 starts:1 following:6 meet:2 control:29 ions:1 omit:1 indicated:7 calculation:2 expanding:3 near:1 states:2 indicates:2 minimum:41 performed:1 degenerate:14 past:1 occur:5 calculated:1 absolute:1 information:1 needs:1 varied:3 discontinuity:4 rather:2 describes:1 breaking:1 regions:7 varies:1 criterion:1 oblate:3 ensure:1 warner:1 parameter:20 sin:1 simplicity:1 narducci:1 algebra:1 may:2 thermodynamic:2 after:1 derived:2 ζn:1 diagram:11 plane:1 studies:1 fh:1 rameters:1 law:9 physical:3 dynamical:2 four:1 ss:1 slightly:1 lines:9 correspond:3 su:14 βi:3 their:2 sect:4 jolie:1 order:42 typical:1 holds:1 interpretation:2 casten:1 nucleon:1 a02:2 a03:2 a00:3 move:1 expects:1 years:1 stability:4 paper:3 through:9 statistical:1 iachello:5 differs:1 excitations:5 its:12 roots:1 before:1 derive:4 group:3 thank:1 energies:11 interesting:1 solving:2 vicinity:1 boson:10 b1:15 microscopic:1 fig:22 derivative:16 main:1 deformation:14 split:1 isacker:3 non:1 good:1 university:2 cea:1 universality:1 largest:1 landau:1 scaling:4 framework:2 effects:1 they:7 identically:1 thus:3 now:1 discuss:1 structural:1 easily:2 february:1 finite:1 2p:3 always:3 reasonably:1 merge:3 in2p3:1 each:4 crossing:4 found:4 2n:4 european:1 2h:3 side:1 mean:1 el:1 square:2 financial:2 another:3 evolve:1 there:3 energy:89 24n:1 reduce:1 conventions:3 extended:4 expect:1 quantum:9 our:1 transitions:20 eq:16 neighbourhood:11 out:4 shown:21 superscripts:1 matrix:7 driving:2 space:7 gradient:1 restricted:1 furthermore:1 fw:1 rev:11 projected:2 cancels:1 denotes:2 particles:1 similarly:2 dsm:1 erateur:1 ζi:3 size:1 occurs:4 math:1 shows:4 asymptote:2 wiley:1 8n:5 theory:5 associate:2 frank:3 t00:2 drives:1 switzerland:1 reason:1 intruder:8 rewritten:2 incorporates:1 pairs:1 interaction:3 language:1 created:1 determining:2 transition:31 due:1 incorporated:1 hence:13 degeneracy:2 onto:3 support:2 first:23 origin:4 major:1 already:1 symmetry:4 plischke:1 opez:1 variables:3 t40:3 symbolic:1 number:5 tricritical:1 intuitively:1 2a2:1 quadrupole:4 2a1:5 carry:1 reached:1 thick:3 angular:2 illustrate:2 given:5 necessarily:1 temperature:1 indicate:4 introduction:2 leading:1 interact:1 duval:2 system:4 needed:1 ordered:1 variational:1 t32:3 exponents:6 t30:3 gives:5 shell:5 geneva:1 4b1:1 continuous:1 zeroth:1 required:1 part:5 authors:1 than:3 coefficients:1 jump:2 unfortunately:1 jumps:2 sections:1 crosses:2 zero:3 submitted:1 ehrenfest:1 underpinning:1 determined:1 a40:3 treated:3 result:1 exhibit:1 lowest:4 symmetries:1 generality:1 acknowledged:1 unchanged:4 close:1 need:1 elsevier:1 linked:2 possible:3 rotor:4 jour:1 depending:1 essentially:1 latter:3 ideas:1 converges:1 note:6 extracted:1 potential:5 take:1 analogy:1 cnrs:1 towards:2 scripta:1 index:1 reach:1 chart:1 most:2 regular:3 experiences:1 phase:59 grateful:1 analytically:4 inserted:1 exponent:4 reduces:3 consequences:1 considered:5 clear:6 repeated:1 points:42 organise:3 principle:1 physics:4 fact:4 quantity:1 slope:3 incorporate:1 phenomenon:1 show:4 nπ:16 spaces:1 relation:4 solutions:3 substituting:1 find:6 ground:11 feng:3 just:2 parameters:24 merges:1 state:22 should:1 discontinuously:2 only:12 generators:1 factor:4 scholten:2 passing:6 hamiltonians:1 local:3 extremum:5 impose:1 equilibrium:2 do:2 a01:3 dominant:1 goes:2 notation:1 means:2 dependent:1 de:1 overall:1 expectation:3 cannot:3 words:1 new:1 ωc2:2 systems:2 disordered:1 reveal:1 evolution:8 approach:1 arxiv:1 2b2:1 2b1:3 email:1 predicted:1 mapped:1 analytical:18 fixed:1 view:1 disappearance:1 set:4 above:2 subatomic:1 undergoes:6 national:1 ωt:7 zones:2 see:10 w2:4 w0:4 discussions:1 recently:1 forthcoming:1 subject:1 surfaces:3 phases:2 interacting:6 nuclear:3 definite:1 written:2 difficulties:1 cambridge:1 closed:1 simplest:1 geometric:1 conditions:9 across:2 terms:8 vertical:3 importance:1 attention:1 however:6 vanishing:2 concentrate:1 jh:1 key:1 ginocchio:1 rapidly:1 configuration:18 topology:4 both:2 0p:3 panels:14 limits:4 tractable:1 many:1 region:20 equal:1 contract:1 display:1 fulfilled:1 chosen:3 figures:2 0h:3 disappears:3 experimental:1 minima:4 fullfilled:1 ch:1 cm:10 point:49 asymptotically:1 coexistence:16 proton:1 exhibits:14 ghent:1 cancel:1 constant:3 union:1 invert:1 cqf:8 been:8 mark:1 recognised:1 interest:1 figure:1 barrett:2 choose:2 dots:3 determinant:2 corresponding:3 observable:1 t50:3 quantities:3 sufficient:1 excite:1 cos:7 gap:2 coherent:10 former:1 present:3 case:31 pacs:1 frozen:1 crossed:2 value:9 choices:2 will:5 while:3 property:1 study:9 engineers:1 a21:2 detailed:1 changed:1 eventually:1 prolate:3 binding:8 surface:52 according:1 respected:1 middle:10 itself:1 properties:3 triple:20 seen:2 vanish:1 disappear:2 different:11 moves:1 since:4 generic:2 suggest:1 coexisting:1 radiation:1 lett:6 same:9 any:3 shifts:1 descend:1 grand:1 several:7 breaks:1 neutron:1 higher:8 independent:5 used:2 infinity:2 singapore:1 lie:1 numerical:11 upon:1 effect:1 hand:2 driven:1 compared:3 purpose:1 symmetrical:1 changing:1 totally:1 caen:1 lower:3 undefined:1 nevertheless:2 expression:9 well:3 analysis:1 bohr:1 directly:1 without:2 involves:1 sets:1 quantitative:3 model:15 arising:1 whereas:5 left:16 spherical:19 proposed:1 captures:1 fingerprint:1 obtain:3 isolated:11 press:1 shape:30 underlying:1 identify:1 atomic:2 immediately:1 macroscopic:2 4a1:1 preprint:1 classification:2 similarities:2 regarded:1 conclude:1 character:1 valid:1 treatment:2 versa:1 possess:1 solvable:2 momentum:2 real:1 around:7 criticality:9 eigenvalue:1 characterise:1 results:2 term:8 corresponds:5 increases:2 know:1 belgium:1 integer:1 occurring:1 loss:1 particle:3 follows:5 collective:3 zoom:1 serves:1 specific:5 moreno:1 either:2 arbitrary:3 become:1 valence:2 essential:2 likes:1 indications:1 because:4 often:1 namely:1 βi2:5 understood:3 added:1 gilmore:7 examples:1 choosing:1 respect:6 total:1 describing:1 excitation:5 illustrated:1 realistic:2 demonstrates:1 vlaanderen:1 extensively:2 parametrisation:1 critical:65 provides:1 assuming:1 generally:1 restoring:1 inserting:2 scientific:1 power:10 equivalent:1 illustration:1 disappeared:1 powerlaw:1 although:5 plots:1 between:11 isolde:2 panel:23 acc:1 comparison:6 world:1 algebraic:2 coexist:1 discussed:5 dependence:2 o:31 nontrivial:1 remains:4 range:1 a2:18 plus:1 mixed:5 introduced:2 consequently:2 automatically:2 computational:1 recognise:1 presence:1 maxwell:18 into:2 within:3 numerically:3 three:3 down:1 appropriate:2 right:7 references:1 determine:3 operator:3 sufficiently:1 rely:1 acknowledgements:1 van:3 switches:2 normalised:1 ugent:1 pairing:1 long:2 quadratic:2 bosons:11 low:4 diagonalisation:1 was:7 function:19 hospitality:1 form:3 differences:1 arima:2 but:4 cedex:1 line:35 observation:1 made:1 qualitative:7 emin:3 maximum:5 theoretical:2 projecting:1 limit:10 benchmarks:1 demonstrate:1 ωc:9 monopole:1 similar:6 called:5 regimes:2 strongly:2 ac:2 taylor:4 associated:9 b2:23 defined:1 certain:3 abstract:1 received:1 influence:1 t60:1 proven:1 general:8 separating:2 single:4 formalism:4 constructed:3 again:3 functions:1 ev:1 dotted:8 no:1 dashed:11 heyde:2 when:12 vanishes:4 field:1 other:9 mottelson:1 department:1 conclusion:3 smoothed:1 calculating:2 benchmark:1 a1:6 important:2 nucleus:2 allowing:1 additionally:1 nuclei:1 structure:2 realising:2 independently:1 implies:2 vice:1 interval:1 curve:4 4p:1 4n:28 inset:4 cejnar:1 dot:3 4h:1 broad:1 n0:2 n2:1 casta:1 n4:1
|
0705.2545.txt |@word code:1 sci:2 illustrates:1 lack:2 results:11 existing:1 roy:2 computation:2 spaced:2 c0:3 depend:1 calculate:1 tt:3 technique:1 tween:1 those:1 under:2 include:1 conjecture:1 far:1 frequencies:3 splitting:2 difference:2 exact:2 pbs:7 hamiltonian:2 did:1 large:1 louvain:5 smaller:2 direct:1 approximation:2 qualitatively:1 implemented:2 blue:2 koenig:1 thermophysical:1 assistance:1 while:1 cell:3 above:3 new:1 increasing:2 consisting:1 filled:1 bi:7 full:1 lee:1 compilation:1 here:1 atoms:5 possibility:1 others:1 luis:2 19a:1 obtained:7 involved:2 elaborate:1 larger:2 published:1 usually:1 makes:1 york:1 cardona:6 useful:1 figure:1 semiconductors:3 plenum:1 support:2 establish:1 planck:1 unit:2 takes:1 would:2 commun:2 gonze:4 discrepancies:5 few:1 therefore:1 taken:1 3ev:1 inclined:1 correspondingly:1 excellent:1 account:1 gironcoli:1 ibm:1 des:2 oscillator:1 mj:8 archer:1 values:6 temperatures:2 making:1 performed:7 indicated:1 calculation:3 high:1 purity:2 simple:2 giannozzi:1 eng:1 rather:2 discussion:3 pure:1 surpasses:1 parameter:7 kremer:6 mat:4 may:2 thermodynamic:4 earlier:1 derived:1 different:2 jollet:1 data:11 verstraete:1 festk:1 element:1 pickett:1 green:1 decreasing:1 sb:1 subsequently:1 acknowledges:1 order:5 displayed:1 soc:1 murray:1 years:2 experiments:1 including:1 avenue:1 its:2 warren:1 thank:2 fit:4 la:2 masses:2 decreases:1 fig:8 corso:1 them:1 good:1 fourth:1 dal:1 investigated:2 band:4 effects:1 they:1 own:1 inelastic:1 discuss:2 february:1 magnitude:2 found:8 universit:3 cliffs:1 characterized:1 2k:2 heavy:4 quadrupole:1 energy:2 principles:1 related:2 frequency:2 our:7 ev:1 eq:3 out:2 shown:2 rev:9 research:1 semiconductor:1 acting:1 conjectured:1 ref:13 red:1 common:1 8k:1 theory:1 divergence:1 given:2 free:1 minimized:1 term:2 serrano:4 org:1 compositions:1 interaction:9 times:1 length:1 place:2 7ev:1 incorporated:1 hence:1 ionic:2 neglect:1 first:2 there:3 number:1 hitherto:1 another:1 electronic:7 differ:1 perturbation:1 temperature:8 introduction:1 relations:3 indicate:1 calculations:13 1k:1 structures:2 speaking:1 relationship:1 optical:1 corning:1 authors:3 than:9 past:1 bismuth:9 fuchs:1 project:2 matter:1 determined:2 were:9 providing:1 torrent:1 bet:1 peierls:1 exhibit:1 polycrystalline:4 comput:1 elongation:1 mater:1 substantial:1 confirms:1 apparently:1 clearly:1 chem:3 angle:1 pursued:1 latter:1 physique:2 orperforschung:1 note:1 phillips:1 k4:3 so:1 circles:1 ghosez:1 investigations:1 centro:1 most:1 involving:2 germany:1 but:3 letter:1 measured:9 herman:1 chalcogenides:2 isotopic:3 url:1 average:1 repeated:1 points:1 electrons:2 principle:1 mechanical:1 fact:1 quantity:2 insulators:2 gusev:1 text:3 12k:1 pbse:3 bergman:1 availability:1 based:2 knowledge:1 parameters:6 explain:1 should:2 only:4 quer:4 black:2 factor:3 local:2 hall:1 cube:1 compiled:1 de:11 ones:1 closely:1 probably:1 distortion:2 reis:1 arxiv:1 acknowledgments:1 contrast:1 ascertain:1 london:1 view:1 reveals:1 computed:1 unpublished:2 pohl:1 up:1 see:5 computer:1 result:1 close:1 closer:1 antimony:1 capacity:4 compounds:1 phonons:1 nuclear:1 importance:1 state:2 difficulties:1 various:1 between:7 progress:1 prentice:1 before:1 available:3 multiplied:1 notice:1 extend:1 cinvestav:2 however:1 eriaux:2 both:1 fitted:2 region:1 acknowledge:2 according:1 stuttgart:1 dated:1 neuve:2 expression:2 finds:1 experimental:11 ci:1 point:1 color:2 corresponds:1 rignanese:1 consideration:1 cp:3 proceeded:1 addition:1 romero:5 due:2 been:5 much:3 interest:1 collected:1 abinit:7 systems:1 5k:1 received:1 baroni:1 anthony:1 fritz:1 c2:3 careful:1 spin:15 present:2 c4:3 exception:1 50k:2 solid:4 harder:1 value:4 near:1 error:1 tmax:3 ceolin:1 mexico:4 refs:5 thus:1 non:1 discrepancy:1 equal:1 ii:1 vs:3 cond:2 busch:1 shift:1 binary:2 containing:2 education:1 grant:2 suggest:1 divergences:3 same:2 shifts:1 skillman:1 widely:1 several:1 neutron:1 higher:3 development:1 fairly:1 literature:3 http:1 cubic:1 effect:5 allocation:1 arose:1 contribution:1 recent:3 lower:5 off:1 physico:2 framework:1 well:1 solids:1 without:10 binaries:1 maxima:1 lda:1 less:1 germanium:1 press:1 atomic:3 spinorbit:1 scattering:1 yet:2 now:1 density:4 character:1 except:1 improvement:1 lattice:5 conacyt:1 samples:4 real:2 rhombohedral:5 read:1 bands:1 capacities:1 online:2 possible:1 mol:3 belgium:2 using:2 mod:1 englewood:1 like:3 reduces:2 performing:2 specific:6 gaspard:1 yields:1 nacional:1 valence:2 reduced:1 semimetal:3 therein:1 www:1 because:1 some:1 ferroelectric:1 crystalline:2 lead:4 measurements:6 per:3 steps:1 three:2 proc:1 measuring:1 varying:1 minimization:1 krusius:1 converts:1 agreement:5 cryst:1 described:2 properties:7 about:2 works:1 carried:2 gallium:1 dependence:4 o:26 bond:1 software:1 accessible:1 primitive:3 computational:1 inclusion:2 into:2 within:1 functional:1 markedly:1 lies:3 references:1 mikami:1 einstein:1 existed:1 institut:1 strictly:1 initial:1 dispersion:3 quadratic:1 low:3 was:2 nitride:1 considerably:2 complete:1 phenomena:1 extended:1 allan:1 volume:1 expected:1 heat:9 ıaz:2 atom:1 line:5 trying:1 considerable:1 applying:1 whether:1 mtrl:1 maximum:8 us:1 ur:1 crystal:3 below:3 demonstrate:1 similar:4 calculated:13 strongly:2 ab:9 swenson:1 metals:2 ins:1 single:4 molk:3 sublattices:1 crystals:6 work:3 simplest:1 physical:1 nj:1 compared:1 thermodynamical:1 caracas:1 no:3 dashed:4 whereas:4 when:3 inset:1 elemental:2 naturforsch:1 other:2 conclusion:1 prendergast:1 initio:9 a0:10 a2:1 a4:1 included:1 wirtz:1 structure:9 max:1 catholique:3 coupling:26 orbit:15 together:1 phonon:7 chimie:2 heats:2 lying:1 time:2 starting:2
|
0705.2546.txt |@word gw:1 gu:8 gt:2 gs:3 gr:5 equalities:2 roe:2 proposition:11 gc:10 gb:1 computation:1 edu:1 consists:1 partial:1 residually:1 gi:1 skeleton:4 compact:1 whose:2 isometric:2 dimensionality:1 depend:1 graph:8 equivalence:2 γw:2 tn:2 quasi:2 squeezing:1 manifolds:2 under:2 γc:3 presentation:9 ingredient:1 alternating:2 case:6 conjecture:5 labels:1 very:1 rise:1 parable:1 choice:5 corollary:6 every:33 entries:2 little:1 exact:1 dim:17 presented:2 turns:1 joined:5 t1:2 large:1 discrete:1 petersburg:1 sapir:2 neighborhood:2 ga:3 zk:8 lecture:1 suffices:2 tex:1 zero:1 further:1 odd:1 linear:1 even:4 diam:3 giving:1 3r:2 dr2:2 bdk:2 uniform:7 bass:3 goes:1 sup:1 new:1 journal:1 equals:2 here:3 diagonal:2 groups:39 address:1 represented:1 path:9 along:2 xα:11 z1:6 z2:2 obtained:2 remark:1 endpoints:1 bd1:4 bd3:3 bd2:8 action:2 quotient:1 uniquely:1 diameter:1 technique:1 projection:5 classification:1 bru:3 apply:4 ord:8 bra:2 γk:2 use:4 asymptotic:40 would:1 prove:6 sake:1 contains:1 uniformly:10 call:2 therefore:1 hirsch:1 taken:5 type:1 more:1 schroeder:1 becomes:1 separates:7 mg:5 word:3 fundamenta:1 ρi:3 recall:3 labeled:1 lipschitz:8 following:7 ferry:1 dec:1 my:1 example:1 proof:15 f0:1 f1:4 theorems:1 give:1 pieces:4 pushed:1 sense:3 needs:1 acts:4 feature:1 write:1 possibly:1 optimal:1 map:18 product:6 may:2 max:6 ost:2 mapping:4 algebr:1 hence:7 fi:5 fk:3 fl:1 fm:1 types:1 acyclic:1 natural:3 whenever:3 element:3 their:1 sh:3 so:4 fundamental:1 sb:5 sa:5 βk:7 order:5 restriction:3 holds:2 dx:2 topol:1 developed:1 over:2 dy:1 paper:5 through:2 same:2 differs:1 satisfies:2 its:3 tending:1 group:24 fix:3 coxeter:28 lk:3 ds:2 better:1 parts:1 januszkiewicz:3 mail:1 main:2 image:3 maximal:1 them:2 amenable:1 number:7 they:1 uα0:1 yr:7 yu:3 hall:1 represents:2 equality:3 2r:2 invariants:1 university:3 level:1 bestvina:2 orthonormal:1 inequality:17 2b:1 each:2 found:1 higher:2 subset:4 series:1 buildings:1 related:1 ball:3 ganea:1 out:2 conjectures:2 vcd:2 matrix:4 space:18 yu1:1 restricted:1 since:19 projected:1 denotes:2 mess:1 acting:1 dsm:5 geom:2 playground:1 conjectured:1 formula:5 ro:3 induction:7 dsc:2 math:12 gromov:3 eilenberg:1 theory:6 monotone:1 sparked:1 given:8 free:3 quite:1 admits:3 base:2 estimate:4 inductive:1 shortest:1 cαk:1 definition:3 applications:1 geometry:3 phrases:1 just:1 florida:1 caprice:1 length:4 signature:1 davis:6 βi:1 first:4 appeals:1 xb:2 xc:3 xa:2 primary:1 rank:1 done:1 open:4 zi:8 πb:1 passes:1 guess:1 πa:1 checked:1 shalom:1 hyperbolic:5 introduction:1 dfw:2 system:1 construct:1 geodesic:6 assumption:4 statement:1 realization:1 recent:1 gives:2 centered:2 completed:1 exactly:1 gluing:1 x1:2 finitely:7 distance:2 sections:2 tree:8 namely:2 ss:2 classes:1 negatively:1 treated:1 result:1 generality:1 ann:1 argument:1 already:1 say:3 disjoint:4 curved:1 st:3 any:5 self:1 note:9 gsb:1 take:3 gπ:2 xi:8 canonical:3 lectures:1 cosets:3 barycentric:1 metrics:3 most:2 pair:1 contain:1 segment:1 kb:8 ka:14 considered:2 later:1 cover:15 vertices:18 typeset:1 countable:5 dr1:2 points:1 etale:1 subgroup:3 notion:1 fact:2 joining:1 show:9 supported:1 γni:1 notations:2 bring:1 spaces:8 relation:1 find:1 boundaries:1 knowledge:1 assertion:5 lemma:11 only:7 parabolic:1 dj:2 notation:1 means:1 mgi:3 carlsson:1 trees:3 dz:2 words:1 invariant:6 dr:22 boundary:5 covering:2 approach:2 arxiv:2 nλ:3 common:5 mapped:1 nondecreasing:1 fixed:1 view:7 set:12 exists:1 box:1 see:4 projections:1 chambers:1 schick:2 theoretic:2 best:1 subject:1 amalgamated:9 satisfying:1 capacity:1 vru:7 representatives:3 label:2 symmetric:2 trans:2 identification:1 closed:2 between:5 αi:3 progress:1 geometric:4 conditions:1 counterexample:1 ends:1 wb:4 extend:2 wj:1 wi:13 vσ:3 key:1 amer:1 topology:4 hits:3 lebesgue:2 cayley:4 many:2 f2i:2 gainesville:1 simplicially:1 equal:2 presentations:2 present:1 embedding:7 comes:1 ck:5 among:2 ci:6 ch:3 bell:4 appeared:1 smith:1 asymptotically:1 cg:2 harmonic:1 dimensional:2 grants:1 spans:1 proved:1 consider:7 skeletons:1 mpi:1 considering:1 pv:3 pu:2 union:9 locally:1 due:1 been:1 int:3 coarse:5 interest:1 inventiones:1 universal:1 define:5 angled:15 generating:5 families:2 embeddable:1 nra:3 propositions:1 subspace:1 gap:1 fund:1 observe:1 proven:5 c2:2 c1:2 general:1 those:2 applied:1 subsets:6 will:2 suppose:3 dedicata:1 property:4 inherits:1 serre:3 cylinder:3 vol:1 vi:5 metric:27 thus:10 non:2 need:1 vr:3 im:2 cone:1 dual:2 supremum:1 cohomological:2 different:3 φu:2 author:1 perhaps:1 problems:1 coarsely:6 clearly:4 complex:12 virtually:1 products:8 finite:23 isometries:1 difficult:2 γn2:1 meets:1 extended:1 infinity:2 triangulation:1 edges:5 infinite:3 chromatic:1 ab:7 subgroups:1 task:1 uαn:1 nevertheless:1 analysis:1 gsc:3 edge:8 sets:3 dimension:44 left:4 isometry:1 gdr:4 graded:3 proposed:1 generally:1 obtain:6 identify:1 bartels:1 asdim:73 γn1:1 unique:1 preprint:7 family:4 candidate:1 seems:1 valid:1 extends:1 contractible:1 theorem:17 acta:1 cohomology:1 polycyclic:2 spanned:1 interior:1 press:1 simplices:2 ams:4 intersection:3 loss:1 follows:4 chamber:2 either:1 nerves:4 works:1 exceed:1 right:15 often:1 mathematicae:1 some:4 barycenter:1 respect:1 proper:2 nonzero:1 2d:4 scale:1 dimensions:1 nonempty:2 normal:7 isometrically:1 does:3 proc:1 minimal:1 refer:1 ufl:1 ba:2 bl:2 bm:2 equivalent:7 bu:1 simplex:4 br:10 bs:2 concreteness:1 hilbert:1 usa:1 complexes:1 novikov:4 basis:1 o:1 gka:1 plus:1 introduced:1 slightly:1 nerve:6 soc:1 cambridge:1 h2:2 mss:7 into:4 h1:2 integral:1 bound:1 nsf:1 lies:1 references:1 cones:1 existed:1 additional:1 there:24 u1:1 long:1 noticed:1 strict:1 appl:1 low:1 way:1 αk:6 was:7 function:2 form:2 dranishnikov:18 but:1 volume:1 properly:1 link:1 subdivision:1 true:1 partially:1 supx:1 coset:3 partitioned:2 supu:1 ur:1 dms:1 ui:8 uk:1 goldfarb:1 problem:1 similar:2 called:9 simplicial:12 partition:7 constant:1 defined:7 coincides:2 abstract:1 direction:2 covers:3 denote:14 cbr:1 exist:3 formulation:1 corresponding:5 inf:2 internal:1 defines:3 functions:1 no:10 mathematik:1 when:4 virtual:1 other:2 weinberger:1 department:1 mathematics:2 nr:15 elements:5 star:3 provided:1 cobounded:7 vertex:16 generated:7 bounded:4 hurewicz:1 building:1 algebraic:1 implies:2 using:1 gr1:1 assume:7 4r:1 orbit:1 n1:1 n2:1 original:1
|
0705.2547.txt |@word nψ:4 partial:2 consider:2 equalities:2 global:2 results:2 invent:1 polterovich:2 proposition:13 gc:4 gb:1 computation:1 c2:7 consists:1 perturbations:2 row:1 compact:13 whose:2 preserves:1 hold:1 calculate:1 aug:1 re:8 electricity:1 tu:1 λn2:1 contained:2 λn1:5 tn:3 finally:1 does:4 tk:3 under:3 ta:4 conjecture:5 straightforward:2 orthogonal:4 transitively:4 could:1 void:1 choice:1 corollary:11 every:2 entries:3 snk:3 condition:1 identity:1 dim:8 num:1 riemann:2 irreducible:2 solution:1 t1:1 large:2 λnm:2 cooke:1 λnk:2 small:5 anal:2 shows:2 upper:13 bessel:1 says:1 ga:1 codim:4 estimates:4 α2n:4 sign:4 zero:16 arnold:2 equal:8 further:3 odd:3 canonical:1 bilinear:2 index:2 what:1 appear:1 t2n:1 section:4 sln:1 3t:1 sheeted:2 version:3 poles:1 subspaces:2 cording:1 replaced:1 2r0:1 method:3 publications:1 coefficient:2 degree:14 landis:1 respectively:3 jakobson:2 component:6 here:1 asymmetry:1 tangent:2 groups:1 directions:2 consideration:1 methoden:1 equations:2 z1:1 change:4 z3:1 obtained:3 remark:7 property:3 divisor:4 algebra:1 magnetism:1 akr:1 leaves:1 vectors:2 h0:1 spheres:5 products:1 lifted:1 bezout:7 domains:7 suitable:2 makes:2 cξ:1 uniquely:1 diameter:1 useful:1 projection:4 family:1 russia:1 bs:12 jas:1 equivariant:4 perhaps:1 apply:1 total:3 linearly:3 additive:2 takes:1 would:1 lemma:15 remains:2 positive:3 ca1:2 contains:9 theme:1 properties:1 distinct:8 few:1 therefore:7 fixed:1 meyer:1 type:3 von:1 more:5 zeroes:22 flat:1 transcendental:1 ecole:1 immersion:2 company:1 stable:2 curvature:2 berlin:1 appendix:1 eλ:2 particular:5 known:3 iv:1 iii:1 must:3 me:1 springer:3 valued:4 berard:2 mc:1 integrating:2 julius:1 recall:1 der:1 work:1 det:5 polytechnique:1 acts:3 cak:1 geometry:1 values:2 codimension:1 lipschitz:1 following:8 meet:1 example:9 history:1 hyperplane:1 give:2 calculation:6 pieces:1 states:1 sphere:9 minimum:1 refine:1 degenerate:2 sense:1 sharp:8 counting:1 evidently:2 ratio:1 information:1 zonal:3 rather:1 s2:48 s1:9 holds:8 orthogonality:1 gcn:1 maps:1 nontrivial:6 rudnick:2 reducible:1 opposite:1 verlag:1 sin:6 gs1:2 product:3 mat:1 singular:1 may:16 snj:1 mapping:5 consequence:3 plane:1 studies:1 physik:1 bks:1 multiplication:2 representations:2 summarize:1 parallel:2 times:1 realized:6 natural:10 imply:1 dσd:3 sp:1 lines:11 su:2 element:1 sk:1 generic:9 so:11 realizes:1 sm:28 keeps:1 sb:1 divide:1 order:2 sd:5 restriction:4 unsolved:1 s0:18 dx:1 lewy:1 indeed:2 over:7 choose:1 course:1 experiments:2 london:1 thesis:1 mentioned:1 its:13 pj2:2 τn:1 group:4 τk:1 la:1 fix:2 sδ:6 forms:2 rectifiable:6 degrees:2 harmonics:22 derivative:1 main:1 pn3:3 maximal:1 non:3 jη:3 greater:4 bound:18 scaling:1 they:3 false:1 federer:1 rj:1 eigenvalue:9 bony:1 several:3 equality:6 always:2 university:1 identified:1 βs:1 orthonormal:1 sufficiently:4 theory:2 inequality:2 l2:4 each:9 found:3 identifies:2 interpolation:3 traces:1 side:6 reproducing:2 homogeneous:15 domain:3 differential:3 directly:1 ιn:10 idea:2 used:1 pevtsova:1 extended:2 measure:16 happen:1 graw:1 neighbourhood:3 out:1 favard:1 ru:2 rp:1 matrix:5 factors:1 restricted:1 furthermore:1 since:34 induces:2 denotes:1 replacing:3 acting:2 investigation:1 geom:2 hill:1 conjectured:3 denoted:3 rm:10 rn:4 induced:1 evaluation:2 math:10 gram:1 linear:7 standard:2 admits:3 nth:2 base:7 york:2 put:1 estimate:4 publ:1 card:11 definition:1 pairs:2 dirichlet:3 r0:3 r2:7 r3:8 homothety:2 sylvester:2 omit:2 nonnegative:2 length:9 arccos:1 hence:18 onto:2 first:5 origin:1 xn:1 mag:1 xm:1 question:1 variables:5 pn2:1 hilbert:1 number:21 phil:1 construct:1 another:2 h1:6 stated:1 precisely:2 open:1 perturbation:1 asymptotic:2 introduction:2 behaves:1 vandermonde:2 least:6 their:7 assumption:2 observations:2 xiv:2 realization:1 fonctions:1 πx:1 submersion:2 final:1 gives:1 holomorphic:5 way:2 explanation:1 continuous:3 immediate:1 mn:8 jordan:3 differentiate:1 x2:14 x3:3 x1:19 than:5 cheng:1 distance:1 uning:2 omsk:2 dtn:1 princeton:2 see:6 normalizing:1 project:1 5t3:1 arc:1 were:2 treated:1 distinguished:1 nuk:4 vector:2 cn:4 ann:2 ant:1 knoten:1 say:4 ras:1 intertwining:1 confirms:1 any:22 seminar:1 lie:3 smallest:1 sj:2 latter:4 εv:1 isolated:1 note:9 φak:15 emphasis:1 φan:5 finding:1 green:2 coincide:1 sn:11 circles:3 even:3 normal:1 decreasing:1 t2k:1 kalashnikov:1 most:1 regular:6 connected:6 representation:5 pair:1 grateful:1 acknowledgements:1 segment:1 observation:1 torus:2 φa1:3 coincides:2 counted:2 countable:1 points:20 pnm:2 subgroup:2 physics:1 sum:2 fact:2 dover:1 precise:3 filippov:1 jζ:1 show:1 supported:1 nφ:4 3x1:2 radii:2 spaces:3 trivial:1 find:3 laplacebeltrami:1 µm:1 based:1 ensembles:1 eigenspace:2 starlike:3 written:1 topological:1 fefferman:4 analytic:5 only:8 explicitly:2 rich:1 factor:2 attained:3 circle:7 eremenko:1 des:3 columns:1 dn:1 do:1 his:1 legendre:2 above:4 notation:2 get:20 dependent:2 sup:1 kind:1 da:3 cannot:5 words:1 invariant:18 du:1 ds:2 treatise:1 crs:3 covering:2 fields:2 transposition:1 arxiv:5 consisting:1 book:1 paper:3 common:21 contain:4 qj:1 ql:7 wrote:1 qn:1 riemannian:8 kernel:2 2p3:1 set:53 modulo:1 exists:5 higher:1 j0:11 bounds:8 nun:4 depends:1 computer:2 radius:11 result:1 p22:1 close:3 contour:5 best:1 subject:2 surfaces:2 fails:1 αr:1 eigenfunctions:8 kl:1 subsequent:1 ωk:2 symmetric:5 outside:2 proof:19 closed:5 between:1 probably:1 αk:1 conditions:1 x23:1 x22:1 adding:1 p2n:3 however:2 nu1:5 comm:2 institute:1 article:3 configuration:2 distribution:1 jb:1 both:3 cos:2 shubin:1 last:1 reverse:1 according:9 laplace:6 fulfilled:1 etc:1 admit:1 colloquium:1 embedding:1 pde:1 estimation:1 otherwise:2 ch:2 abbreviate:1 cm:4 point:4 simple:1 ca:2 asymptotically:1 harmonic:16 eminaire:1 parametrization:1 dimensional:9 grants:1 simply:1 polynomial:7 moreover:7 cp:1 cu:3 amer:1 second:1 yau:3 locally:2 due:8 laplacian:2 rr2:1 z2:1 submanifolds:1 pj:1 pk:7 ph:2 pn:11 abstract:1 pm:1 θk:1 determinant:6 corresponding:6 arcsin:2 quantities:1 sufficient:1 subspace:5 new:2 sobolev:1 c3:13 2n2:4 general:3 manifolds:2 case:12 skn:2 subsets:1 value:7 will:1 euclidean:4 near:1 ar:12 suppose:3 behavior:1 2k:2 procedure:1 correspondence:1 ξk2:1 donnelly:3 geometric:2 almost:2 averaging:1 metric:10 thus:13 them:2 surface:4 wigman:2 ii:4 characterize:1 im:2 cone:4 exterior:1 vw:1 vanish:3 rfbr:1 different:2 null:2 φx:7 φy:1 realizing:1 s2n:1 same:4 clearly:9 φa:31 φb:4 complex:6 action:1 proved:5 finite:17 isometries:2 difficult:1 disc:3 independent:15 investigated:1 αtr:1 nj:1 hand:8 average:1 intersects:3 moving:1 infinite:2 a2n:6 courant:2 multiplicities:4 prescribed:2 lower:16 fourier:1 changes:1 well:3 analysis:1 obviously:2 helv:1 without:1 greatest:3 components:3 sets:19 gsk:1 erd:1 left:4 spherical:20 manifold:5 less:2 formula:2 actions:1 homogeneity:1 λf:1 immediately:1 facts:1 λn:7 previous:1 oriented:1 rs:4 intersection:3 preprint:2 expos:1 conclude:1 seems:2 except:1 weiss:1 laplacien:1 belongs:1 extends:2 easy:2 theorem:25 contradictory:1 rk:1 operators:1 transformation:2 gs:1 real:29 eigenfunction:2 stein:1 easily:1 read:1 big:3 possible:4 corresponds:2 know:1 mathematics:1 press:1 using:3 bit:2 unique:6 complexification:1 nadirashvili:1 dµm:2 ilyashenko:1 like:1 arcs:1 follows:14 holomorphically:1 dµd:2 isotropy:1 translates:1 intertwines:1 either:3 arbitrary:1 translated:1 limn:1 reduced:1 beltrami:6 mathematical:1 sketch:1 because:2 methods:1 classical:1 lectures:1 some:18 khk:2 calculated:1 examples:1 uspekhi:1 respect:2 proper:1 nonzero:5 oleinik:1 vol:2 dense:3 shall:1 integration:1 comments:1 critical:14 decomposition:1 unit:5 tends:1 intersections:1 x3n:3 x3m:1 power:1 equivalent:1 local:1 bi:1 nauk:1 step:1 nowhere:3 br:3 2m:2 cη:1 2n:25 jα1:3 integers:1 extension:3 hopkins:1 ack:1 prove:2 srn:4 assertion:3 o:22 essential:1 union:9 extensions:2 mean:16 slightly:1 elyi:1 subset:8 soc:1 inclusion:2 johns:1 maxwell:2 into:5 rhn:1 functional:2 three:2 remarks:3 ηu:1 right:4 references:2 operator:6 proportional:2 fixing:1 rows:1 span:2 area:4 θn:8 nodal:40 support:1 there:18 u1:3 long:1 mathematischen:1 quadratic:1 inner:12 exceed:1 was:6 function:13 annals:1 form:9 szeg:1 hr:8 converse:1 but:6 volume:2 hk:1 construction:4 hn:37 repeatedly:1 hl:3 hm:8 russian:1 ns1:1 line:2 true:7 partially:1 count:1 applying:3 annihilate:1 evident:3 multiplicity:3 ωr:7 smooth:3 up:5 us:2 2πn:3 um:1 below:2 ωm:8 ωl:1 uk:3 ix2:7 ix3:1 problem:3 define:1 similar:2 called:5 uber:1 propres:1 ab:1 constant:9 defined:5 stronger:1 ak:19 orbit:2 am:1 inr:6 denote:4 cbs:1 proves:4 exist:2 families:2 inf:1 dε:2 ostrand:1 check:2 fill:1 functions:13 nk:6 nm:2 no:7 na:3 image:1 nc:1 generally:1 vanishes:1 nx:1 field:1 disjoint:1 other:3 vishik:1 branch:1 papers:1 cp1:2 cp2:2 nu:58 nv:18 expositions:1 setting:1 problems:1 ξu:2 polynomials:11 includes:2 a1:25 hausdorff:9 ξk:5 bounded:3 ξm:4 included:1 ξa:1 ξd:2 sides:2 ginvariant:1 implies:7 assume:5 space:13 hnm:16 dσ:5 bateman:1 4n:1 hnr:3 mass:3 n1:8 n2:3
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.