text
stringlengths 0
190k
|
|---|
0704.0273.txt |@word represent:1 partial:1 skeleton:1 remarkable:1 scratch:1 equalities:1 permanents:1 results:8 leads:7 scalar:3 disc:2 generalize:2 grateful:1 transversally:1 consists:1 homomorphism:11 denotes:9 row:1 compact:4 whose:1 c0:4 depend:5 chain:4 reformulate:3 graph:82 equivalence:16 zd0:2 finally:10 alvarez:1 under:4 γc:25 connecting:1 γe:15 straightforward:1 without:1 induce:1 choice:10 corollary:3 isomorphism:9 every:1 orientations:25 cellular:7 surprise:1 difference:2 matrices:6 condition:32 illustrated:3 tilings:1 obvious:3 riemann:2 turns:1 glues:2 moore:1 large:1 discrete:10 proposition:15 phase:1 recall:12 small:2 massachusetts:1 glued:1 noted:1 dimer:83 configurations:17 neighborhood:1 computation:2 zd:7 edu:2 sign:3 imply:1 preimages:1 traveling:1 further:1 odd:1 canonical:3 even:5 index:2 appear:2 iterating:1 giving:2 section:19 expressed:3 cell:1 version:3 goes:1 new:2 order:1 consisting:3 coefficient:2 devoted:1 component:11 here:5 understanding:2 refinement:1 groups:1 address:3 path:1 along:16 equations:2 change:2 differential:1 obtained:26 remark:2 study:2 allows:4 products:1 permutation:3 action:7 hospitality:1 proof:18 makes:3 sci:3 uniquely:3 coordinate:1 via:8 cohn:1 family:9 apr:1 inducing:2 qd0:1 apply:1 clockwise:3 use:4 takes:2 usa:1 distinct:2 positive:3 give:5 γi:11 next:1 linear:5 ψi:1 m1:22 therefore:12 m2:21 taken:5 theoretical:2 ψd:7 more:1 abusing:1 adjacency:1 pairs:1 appendix:1 normalized:2 particular:2 known:3 cases:2 hold:1 iii:2 kenyon:3 fermionic:1 valued:1 electron:2 indexed:2 science:1 equation:2 work:3 theories:2 cocycle:2 values:2 lipschitz:2 following:26 endow:1 example:1 history:1 f0:62 f1:9 f2:9 vv:4 figure:6 stated:2 preserving:2 sphere:1 numbers:1 degenerate:1 sense:3 times:1 conversely:3 dk:1 normalize:2 needs:1 andersen:1 acts:2 write:1 how:7 adjacent:13 white:3 parameter:5 map:11 product:5 loebl:1 description:2 teichner:1 algebra:8 may:3 βc:1 singularities:2 collection:1 diagram:2 pasting:1 inst:2 coming:2 date:1 horizontal:1 geometrical:1 data:1 cokernel:1 realized:2 short:2 gluing:30 johnson:4 computations:1 counter:3 sw:4 summing:1 element:5 so:6 jℓ:2 allow:1 putting:1 words:2 bipartite:33 operations:4 restriction:6 holds:12 kϕ:10 ith:2 indeed:6 over:14 choose:1 outer:1 paper:6 through:1 statistical:1 mentioned:1 satisfies:5 poincar:1 okounkov:2 its:8 before:1 perfect:3 group:9 evans:1 acknowledge:1 exact:2 fix:17 affine:7 forms:3 h2:4 permanent:1 systems:5 mail:2 secondary:1 defining:2 into:11 correspondence:2 count:1 non:10 combination:3 b2:1 primary:1 cutting:22 pfaffians:7 they:4 half:1 now:16 realize:2 nor:2 matched:17 easily:10 february:1 several:1 equality:9 always:1 university:2 traced:1 orthonormal:1 2g:8 each:14 crossing:1 2n:6 higher:1 side:1 subset:1 en:1 matchings:2 weight:25 series:1 gaussian:1 used:2 bosonization:1 abelian:1 extended:1 2b1:3 measure:20 quantum:20 our:1 operation:3 transitions:1 orient:2 special:1 out:3 matrix:8 space:10 electronic:2 furthermore:14 since:9 induces:21 gaum:1 research:3 combinatorial:2 contained:2 vector:11 rel:4 reader:1 denoted:2 formula:11 postpone:1 induced:13 math:11 shows:1 foundation:2 classification:1 reformulation:1 theory:26 exterior:3 sheffield:1 qf:19 free:4 admits:1 indices:1 homeomorphism:5 term:1 might:1 publ:2 e1:1 axioms:1 definition:3 unique:5 fixed:5 language:1 geometry:1 david:12 vafa:1 assumed:2 hence:6 onto:5 assign:7 first:16 size:1 reversing:5 pairing:4 humboldt:1 probability:6 kernel:1 bijection:17 variables:1 number:19 done:1 another:2 enumerate:1 precisely:1 open:3 ℓd:5 given:56 necessarily:5 publication:1 introduction:2 unknown:1 top:2 system:19 relations:1 their:2 quadratic:6 fermions:3 realization:1 ordered:9 variational:1 structures:29 final:1 speaking:1 gives:4 completed:1 exactly:7 formulate:2 part:5 x2:16 natural:1 x1:9 representing:3 zα:4 coefficients:6 distance:1 cochain:2 determines:2 showed:1 was:5 require:4 second:5 independant:2 whenever:2 classes:13 d0i:7 tion:1 orienting:1 kuperberg:2 result:2 gathering:1 zb1:1 explicit:1 ann:1 curves:7 correspond:1 already:1 say:4 harnack:1 disjoint:11 cumbersome:1 obviously:4 occupied:1 any:30 contents:1 φi:12 generalizes:1 form:5 zero:1 depending:2 latter:1 εv:6 note:22 concerns:1 εk:12 neither:2 interior:4 combin:3 unless:5 opposite:3 grassman:10 measures:2 algebraic:1 involving:1 connected:17 pair:4 spin:33 acknowledgements:2 class:8 kasteleyn:57 kc:11 observation:1 lines:1 notations:2 later:2 vertices:39 face:11 graphs:52 points:1 principle:1 exp:7 subgroup:2 physics:2 sum:12 fact:3 eiℓ:1 show:3 supported:2 discovered:1 spaces:1 relation:4 agrees:3 d0:159 d1:18 homology:4 inspiring:1 parameters:10 explain:1 topological:2 should:2 monomial:1 only:16 black:3 zβ:6 propp:1 constant:1 axiom:7 do:2 intersect:1 notation:2 di:2 de:3 dc:8 satisfied:1 aγ:1 ones:1 listed:1 joins:1 αh:2 boils:1 boundary:116 aξ:2 formulated:1 runs:1 arxiv:1 remove:1 method:1 qc:1 discs:2 qd:12 contain:1 qi:8 london:2 homeomorphic:1 cycles:8 inside:2 satisfy:3 etudes:1 set:44 above:10 ser:2 exists:9 pick:2 hγ:2 national:1 j1:3 aarhus:1 relative:1 see:4 signed:1 arf:15 discussions:1 close:1 observed:1 best:1 subject:2 surfaces:11 said:3 bosonfermion:1 below:1 symmetric:4 written:3 determined:3 identification:2 closed:22 between:14 invariant:7 geometric:2 conditions:9 checks:5 pictured:1 αn:1 commute:1 sλ:3 terms:2 extend:1 adding:1 bost:1 complement:1 however:4 jn:1 harvard:1 comm:2 como:1 jk:2 article:1 configuration:27 come:1 suggested:1 both:3 last:1 reformulations:1 σc:28 freely:1 iℓ:2 equal:8 nµ:4 etc:1 iv:2 interesting:1 cµ:1 genus:6 adapted:1 crdf:1 comes:1 otherwise:5 arbitrarily:3 orientable:3 ci:9 cm:1 conclude:1 appeared:1 ca:1 berkeley:4 corresponds:1 height:22 dimensional:3 taylor:1 simply:3 proved:2 throughout:1 consider:4 ad:1 ei1:2 pp:3 amer:1 described:1 hd1:2 basis:11 union:1 skew:3 ai1:1 three:2 domino:1 ai:2 much:1 pf:7 z2:39 nato:1 ph:1 algebras:1 ak:17 empty:2 define:7 surjective:1 direction:3 corresponding:6 restrictions:1 wet:6 maps:4 understand:1 representative:1 c2:6 c1:8 general:10 assigning:1 spirit:3 present:4 ndimensional:1 case:19 main:1 disconnected:3 subsets:6 solid:1 crossed:3 aiv:1 value:2 will:3 bϕ:6 near:3 proves:1 aik:1 aij:3 eik:2 property:2 conformal:1 procedure:1 inherits:1 planar:8 orientation:56 endowed:3 formulation:3 thus:1 them:1 surface:79 according:2 ii:15 need:1 ik:1 ij:6 dual:7 aspects:1 σd:11 id:4 different:1 formalism:1 grant:3 belong:3 atiyah:2 cross:1 same:7 clearly:2 complex:3 gibbs:9 resulting:1 φj:8 finite:4 composition:9 φn:3 four:1 investigated:1 i1:2 assignment:5 faces:10 effect:1 hand:3 akc:1 intersects:1 edges:39 collar:3 identity:5 cycle:7 well:10 mccoy:1 bohr:1 academic:1 edge:24 components:6 sets:3 swiss:1 position:4 model:24 dimension:3 wc:7 left:3 just:1 cj:1 being:6 resp:2 numbering:3 obtain:8 underlying:1 identify:1 glue:1 uration:1 previous:1 adv:1 oriented:30 cut:3 thankfully:1 kluwer:1 regarded:4 point:4 segal:2 hall:1 simple:10 add:2 setting:4 extends:6 treatment:1 theorem:20 nicolai:12 real:2 dimers:31 depends:4 sums:1 possible:6 possibly:11 increases:2 dφi:3 know:1 press:2 using:8 intersection:2 mod:7 reshetikhin:13 valent:2 wu:1 identifying:2 follows:16 niels:1 translates:3 either:2 integrals:1 alternatively:1 translated:1 essential:4 acad:1 mathematical:1 right:5 dordrecht:1 methods:2 sequence:2 sends:1 some:11 back:2 understood:3 elements:3 b0:4 b1:13 choosing:1 respect:11 soc:2 matching:3 lead:1 affects:1 shall:9 get:1 does:7 decomposition:6 prob:3 minimal:2 refer:1 power:2 equivalent:12 bi:1 expansion:1 although:1 explicitely:1 relating:1 paste:1 properties:3 injective:5 proceed:1 about:1 actual:1 extension:1 most:1 column:1 hd0:13 amoebae:1 compatible:14 remains:1 nothing:2 act:3 generalization:2 transitive:1 morphism:1 duke:1 mechanics:1 cambridge:1 inclusion:3 22g:3 image:2 h1:35 integral:3 nsf:1 signature:1 down:1 lies:2 weighted:1 references:2 wβ:18 bosonic:1 statistics:1 additional:1 combinatorics:1 removing:5 strictly:1 there:27 long:1 restricts:1 describes:1 ξf:1 way:4 call:1 formed:1 translate:2 sections:1 function:28 verbatim:2 but:8 volume:3 construction:1 true:1 hd:39 partially:1 excision:1 partitioning:1 embedded:8 whether:1 cells:2 up:3 us:25 dφ:4 wϕ:6 dms:1 exploration:1 acting:1 continuously:1 embed:1 called:14 uc:1 detailed:1 partition:24 associated:6 sticks:1 computing:1 defined:13 certain:1 abstract:1 determinant:1 denote:26 single:2 phism:1 exist:4 relates:1 hautes:1 moves:1 check:1 defines:7 ni:4 functions:14 nk:12 nm:3 no:3 amounts:1 when:3 pfaffian:10 field:23 other:6 department:2 mathematics:3 nelson:1 functorial:2 star:1 separate:1 models:5 vertex:13 a1:1 a0:1 generated:5 ising:1 n1:4 structure:10 implies:1 assume:5 factors:1 curve:10 orbit:1 together:3 equivalently:1 weights:5 eℓ:1 vershik:1 dϕ:10 requires:1 once:2 |
0704.0274.txt |@word hippel:5 operations:2 code:2 being:1 caused:1 including:1 differentiation:5 yes:1 its:2 previous:4 announcement:2 preprint:1 classification:1 title:2 masses:1 contained:2 conjugation:1 better:1 fortran:10 program:2 ca:2 real:1 tanh:1 crash:1 greater:1 provisions:1 di:1 very:1 saskatchewan:1 elementary:1 made:1 words:1 formula:1 using:1 compiler:2 cancellation:1 loss:1 february:1 particle:1 excluding:1 university:1 arxiv:1 fixes:1 solution:1 summary:2 each:1 become:1 identifier:2 automatic:5 constraints:1 methods:1 reference:2 achieved:1 expansions:1 some:3 module:1 cosh:1 keywords:1 depends:1 computer:2 corrupt:2 operation:1 reasons:1 revisions:1 canada:1 regina:2 user:1 method:1 catalogue:2 version:11 features:2 bruno:1 correctly:1 new:7 issue:1 email:1 compilers:6 theory:1 nature:1 comp:1 journal:2 arbitrary:4 diagonal:3 expansion:2 notably:1 objects:1 operating:1 preprocessor:1 key:1 address:1 imaginary:2 additional:1 restrictions:1 cos:1 language:1 package:3 could:2 programming:1 parts:2 through:1 compatible:1 range:2 products:1 act:1 mixed:2 jh:2 changes:1 other:1 automatically:1 first:1 aa:1 sinh:1 manuscript:1 apr:1 variables:6 number:3 due:1 restrict:1 multiplication:1 references:1 licensing:1 type:1 wider:1 respect:3 along:1 linearly:1 utility:1 derivatives:11 0a2:1 log:1 commun:2 system:2 been:2 few:1 linear:2 quadratic:1 memory:1 ph:1 msc:1 abstract:1 diagrams:1 define:1 function:3 enable:1 corresponding:1 accuracy:1 composite:1 operators:1 corrected:1 but:1 overloading:1 related:2 leibniz:1 authors:1 bug:3 present:1 none:1 valued:2 compute:1 exponential:3 pacs:2 science:1 require:1 overloaded:1 up:1 submitted:1 mv:2 values:1 assumes:1 problem:1 perturbative:1 computed:2 taylor:3 comput:2 defined:2 certain:1 von:5 unusual:1 dependence:1 high:2 quantum:1 elsevier:1 tan:1 any:2 functions:4 nag:2 compiling:1 author:1 when:2 orders:2 conforming:2 field:1 varies:1 complex:3 potentially:3 compiled:1 department:1 several:1 sin:1 arithmetic:1 higher:3 independent:2 http:1 users:1 may:3 symbol:1 numerical:3 problems:1 v1:1 running:2 encodes:1 variable:1 compatibility:1 supersede:1 calls:1 url:1 no:1 well:1 rule:1 cpu:1 feynman:1 fujitsu:2 does:1 exp:1 time:3 serious:2 physics:2 order:7 |
0704.0275.txt |@word homomorphism:1 similarity:1 four:3 fortiori:1 hanging:1 consists:1 skeleton:15 whose:13 isometric:5 γx:6 calculate:2 paris:1 segments:2 under:24 conjecture:1 every:45 updates:1 bringing:1 nonexpanding:1 cause:1 solution:2 herbert:1 unrelated:1 force:1 deutsch:1 horn:1 elegant:1 second:10 even:2 supplied:1 above:39 new:6 net:1 increasing:1 consisting:2 coefficient:21 behavior:2 γy:4 here:11 interno:1 kugel:2 path:10 obtained:5 translator:1 study:2 economics:2 changes:1 cancellation:1 appropriately:1 divide:1 replace:3 achievable:1 actions:1 total:5 unit:19 experimentation:1 would:18 negative:21 call:5 midpoints:5 until:1 curvatura:1 holt:1 curvature:6 reversible:2 separates:1 hold:6 must:20 me:2 equilateral:4 work:2 ere:1 concepts:1 root:1 example:13 loosen:1 indicated:2 give:7 cited:2 cartan:1 want:2 rayon:1 times:1 looser:1 absolute:1 end:7 hoc:1 verify:5 satz:3 feature:1 how:6 nontrivial:2 adjacent:1 answer:2 polytopes:2 description:7 arcs:2 replacing:1 after:5 minimizes:3 parallel:5 constants:1 third:1 chern:1 acknowledged:1 summing:5 operations:2 xj:2 over:22 satisfies:10 before:13 fit:1 personal:2 fix:1 writing:2 better:1 distinguishing:1 differently:1 overcome:2 them:3 combination:11 they:12 each:38 side:23 mean:4 meets:10 used:11 combining:2 xp:10 restricted:2 re:1 vector:66 rb:3 reader:1 rn:20 normed:51 turning:1 linear:26 midpoint:4 given:26 free:1 standard:1 admits:1 r4:1 r2:15 r3:6 generalizations:1 polyhedron:1 primary:1 thereof:1 restrict:1 methuen:1 another:6 similarly:7 top:2 needed:1 observations:6 xiv:1 cycle:10 collapse:1 centered:12 serve:1 took:1 somewhat:3 finitely:3 distance:27 last:12 showed:3 tree:3 likely:2 normalizing:1 xi0:2 matter:1 classes:2 rad:115 sees:1 boston:1 seen:6 tells:2 forced:1 genuine:1 convenient:2 latter:6 wetzel:2 oriented:1 fitting:1 circles:12 though:5 object:1 metrics:2 extending:1 regular:16 acknowledgements:1 don:3 observation:2 consumed:1 vertices:20 points:65 principle:2 section:4 reprinted:1 saying:2 converse:1 attempts:1 keywords:1 d2:2 d3:27 mengen:1 occurring:3 ellipsoid:5 paralleling:1 sentence:8 folded:1 topological:4 completes:1 summarizing:1 constant:5 continuity:2 do:5 dm:7 establishes:1 coefficients:19 stop:1 despite:1 runs:2 contributes:3 νp2:1 νp1:1 nicely:2 arclength:1 twice:1 traversed:1 pushed:1 radius:73 result:19 fail:2 dµ:7 best:5 subject:2 said:2 µy:8 µx:24 µz:5 away:1 lott:1 symmetric:9 µj:2 drawn:1 approach:5 preserve:2 contradicting:2 terms:25 restricting:1 however:10 equals:4 topology:3 suggested:1 essentially:1 una:2 und:2 une:2 faces:2 argue:1 concluding:1 wider:1 speak:1 basis:1 union:5 three:21 been:3 spread:1 interest:3 expected:1 algebras:1 correction:1 families:1 turned:2 locations:1 worked:1 applied:1 rectifiable:1 say:13 euclidean:19 near:1 suppose:18 property:24 leaves:3 picturing:2 cylinder:2 µx2:4 conv:16 µx1:3 equator:2 iv:2 ii:23 characterize:1 cone:3 pathology:2 wissenschaften:1 containing:27 suggest:2 make:6 intersecting:5 complex:5 several:1 showing:7 isometries:5 independent:1 fenchel:5 permutation:1 differing:1 hand:25 µxn:1 µxi:4 kept:1 left:6 just:6 diameter:6 ideas:1 identify:3 transporting:3 facts:1 previous:1 adding:1 regarded:3 had:7 haefliger:1 belongs:2 easy:4 formal:3 gave:1 possible:1 spanned:1 possibly:6 boxes:2 altitude:2 unique:11 apart:5 verein:1 dµx:1 steps:2 arbitrary:8 right:14 deal:2 sends:1 crown:1 paragraphs:1 multiple:1 dense:3 bottom:1 jahresber:1 totale:1 boll:1 shifting:1 hadamard:1 properties:6 chapter:1 planarity:1 months:1 surjections:1 slightly:1 considerations:2 primitive:1 statements:2 publishing:2 presence:1 rotations:1 bound:15 down:2 lies:14 acad:1 intrinsic:1 suffice:2 initial:2 why:1 way:6 editions:1 was:8 form:10 differences:1 failure:1 hemisphere:7 removed:1 true:9 supx:14 supy:5 coset:3 skeleta:2 attached:4 bounds:6 supn:1 supa:11 supb:2 supf:2 b1:1 tonne:1 guesses:1 abstract:3 covers:1 proves:2 exist:3 commuting:1 check:2 triangles:7 nj:1 weakened:1 no:14 generally:7 interested:1 papers:3 picture:1 models:1 preceding:7 longer:2 assume:8 interval:8 together:4 time:2 serious:1 hope:1 logarithms:1 concept:3 equalities:1 global:1 leads:2 computation:1 nonexpansive:18 inverse:1 depend:1 graph:12 technique:1 finally:6 mutandis:1 analogous:2 string:3 advantage:1 mg:1 choice:6 orientations:1 entries:1 exact:1 discovered:1 bring:2 did:1 turns:1 leave:1 discrete:1 upper:4 says:5 46b20:1 sign:4 cost:3 appear:1 economist:1 uniform:1 falling:1 satisfy:4 unbaum:2 transportation:2 nearer:1 lipschitz:2 perpendicular:3 tangent:5 alone:1 along:3 appears:2 change:6 box:2 my:5 vectors:2 bv:5 bridson:1 usually:1 studies:2 nitsche:1 illumination:1 hadwiger:1 working:1 prove:8 positive:34 memory:1 andr:1 νy:2 appendix:5 everywhere:3 cases:8 cardinality:2 valued:8 sheds:1 sphere:10 values:16 sl1:6 following:5 making:3 claim:3 dedicated:1 degenerate:1 figure:1 permutations:1 sample:2 dropped:1 allowed:1 occur:4 rays:2 s2:12 s1:9 s0:11 write:3 immune:1 pure:1 optimal:1 map:156 product:1 mar:1 mat:1 may:17 max:1 applications:1 nik:2 mag:1 natural:4 danzer:1 whenever:3 lemmas:2 explicit:4 yielding:1 quadrant:2 so:77 sn:1 definitions:1 hugo:1 indeed:12 pointed:1 soc:3 course:3 still:10 group:12 interesting:2 coxeter:1 coordinates:3 forms:2 decreased:1 main:2 happened:1 non:6 chelsea:1 half:9 now:26 nor:4 term:12 equality:9 james:1 establishing:1 em:3 en:23 ee:1 gaussian:2 happen:4 shown:5 space:114 looking:4 constante:1 contained:24 rational:1 formula:2 shows:10 uber:3 earlier:4 theory:2 hull:8 california:1 e1:10 e0:1 e3:3 e2:9 fixed:11 language:2 question:23 programming:1 place:1 support:49 first:20 origin:2 intuition:1 xi:32 xn:6 symmetry:19 xm:2 omitted:1 ring:1 open:9 george:2 little:1 necessarily:4 brevity:1 structures:1 gives:14 continuous:5 proving:3 alan:1 x2:26 x3:37 x0:19 x1:31 than:24 specify:1 x5:1 were:7 pre:1 generality:3 ann:1 measure:13 argument:10 quadrants:1 saw:5 any:80 aside:1 note:31 emphasis:1 take:12 interior:3 coincide:2 sure:2 straightening:1 opposite:6 falls:4 successive:1 pair:14 considered:2 later:1 implications:2 quantity:1 precise:2 spaced:2 show:16 notations:1 bright:2 spaces:40 decompositions:1 ratio:1 state:1 analytic:3 only:12 centrally:9 get:23 nell:1 cannot:10 geometric:3 secondary:1 closure:2 regarding:1 yield:1 summary:1 mapped:3 maximum:7 namely:5 existence:2 apologies:1 surfaces:1 fails:1 satisfying:6 radc:12 inequalities:3 ways:3 subsequent:2 justifies:1 radu:2 jth:2 between:18 justified:1 2002b:1 2002d:1 jr:1 inclusions:1 come:1 concentrated:1 circumference:10 x2n:4 many:10 region:4 called:3 embedding:6 expression:12 comes:3 among:9 werner:1 stretched:3 cancel:2 moreover:6 considers:1 considering:2 stretch:1 locally:1 attaching:1 likewise:5 covering:2 direction:10 observe:3 former:2 those:16 case:40 invoking:1 dν:5 situation:9 planar:2 metric:82 sleeping:1 canceled:1 yj:5 ambient:2 motivated:2 supremum:13 different:7 branko:2 same:26 wilhelm:1 ludwig:1 edged:1 trivially:2 octahedron:6 edges:24 eells:7 relies:1 supports:11 minimize:2 without:5 components:1 coordinate:3 dimension:3 justify:1 isometry:5 being:3 when:20 ci:20 rest:1 seems:1 except:3 smoothness:1 versa:1 pitman:1 real:25 around:2 decomposed:1 department:1 2w:1 using:8 x4:34 reduces:2 either:8 sympos:1 pacific:1 supplementary:1 deduce:2 specified:2 images:10 nonzero:17 2d:3 scientific:1 equivalent:5 found:2 central:1 meaning:1 whence:4 luck:1 morphism:1 inclusion:2 communication:2 image:21 skilled:1 references:3 determine:1 theoretically:1 area:1 assumed:1 strictly:2 there:31 mathematischen:1 start:2 assumes:2 complete:3 enough:1 regard:3 pull:1 applying:4 embedded:2 submanifolds:1 embed:1 detailed:1 helly:3 ad:1 ai:12 certain:1 describe:2 am:2 general:12 ap:1 examine:2 senses:1 associating:1 formulation:1 again:12 field:1 mathematics:2 symbol:1 vertex:12 includes:1 a0:7 important:1 bounded:17 calls:1 curve:14 passed:1 strings:1 since:35 sci:1 consider:13 pointing:2 scalar:1 disc:3 restated:1 follow:1 expressions:1 disk:1 preserves:1 combinatorial:1 mutatis:1 equivalence:2 linusson:1 preserved:1 norm:30 belonging:1 straightforward:2 returning:3 very:2 translations:1 induce:1 corollary:19 fall:3 difference:5 condition:7 blaschke:7 list:2 joined:2 large:3 small:4 segre:1 neighborhood:1 grateful:1 courbe:1 translating:2 zero:3 infimum:25 pass:1 further:3 reine:1 choices:4 subscripts:2 what:13 diam:23 richard:1 sum:14 sui:1 version:4 sur:1 intersect:1 sup:6 learned:1 method:2 contrast:3 full:1 klee:2 loose:1 component:1 ranges:3 berkeley:3 directions:3 superficie:1 search:1 generalizing:1 difficulty:1 allows:2 arens:7 pick:1 parenthetical:1 uniquely:2 family:8 vii:2 2000k:1 put:2 hans:1 conventional:1 takes:1 distinct:10 contains:12 comparing:1 taken:4 markets:1 more:17 flat:1 israel:1 infima:2 company:1 ital:1 surface:3 particular:12 known:1 none:1 undirected:1 recall:4 der:1 grundlehren:1 remain:1 paragraph:9 taut:4 excursion:1 def:1 compare:1 νq:5 νp:7 stated:2 suggestions:1 νx:12 contradicts:1 minimum:9 numbers:17 hyperplane:6 sense:1 information:3 rather:5 breaking:1 maps:8 occasionally:2 acta:1 simplicity:2 angew:1 mapping:33 plane:8 rinehart:1 hille:1 short:2 onto:3 help:1 developed:2 through:9 signs:4 y1:15 y0:22 y3:1 y2:16 its:32 roots:1 affine:11 actually:2 might:5 yi:15 good:2 ym:2 yn:5 universality:3 geodesic:4 yp:5 octahedral:3 easily:2 2v:1 finite:28 always:3 2z:3 oppositely:1 2f:7 inequality:14 die:2 2m:2 2n:1 errata:1 referred:2 weight:2 hard:6 reduce:3 idea:2 expect:1 loops:5 unnatural:1 surrounded:1 induces:1 misses:1 hill:1 denoted:5 induced:5 evaluation:1 occurs:2 polyhedra:2 reformulates:1 reason:1 members:2 ask:7 beginning:1 winston:1 contient:1 definition:11 pairs:6 persons:1 nonnegative:12 consequence:1 punkten:1 indebted:1 singleton:3 mr:24 dont:1 probability:12 number:10 instances:1 done:1 construct:2 differ:2 minimality:2 leading:3 least:10 obtainable:1 assumption:8 calculations:1 86b:1 too:2 statement:11 park:1 immediate:1 part:5 authors:1 norms:4 translation:1 believe:1 center:21 peaked:1 john:2 determines:2 cyclic:1 gotten:2 determined:2 pairwise:1 motivation:1 comput:1 gale:4 cumbersome:1 lie:10 depending:2 self:4 hyperplanes:1 extracted:1 square:1 generalized:1 analogy:1 finding:2 analogs:1 quote:1 measures:7 most:8 assoc:1 significant:1 nothing:1 measured:2 unequal:1 astad:1 clear:7 antipodal:12 cover:2 kr:1 lying:2 joining:1 phenomenon:1 multiplicities:1 relation:1 find:6 boundary:7 assertion:9 failed:2 circle:15 his:2 triangle:16 notation:4 express:2 listed:1 combinations:14 imitating:1 him:1 arxiv:1 remove:1 investigate:1 common:8 double:1 doubles:1 weaver:11 river:1 set:45 achieved:4 achieves:5 see:23 arc:20 close:7 theoretic:1 outward:1 analog:3 preparation:1 smallest:6 various:1 contrary:2 conditions:14 pictured:1 complement:2 both:22 folding:1 reverse:3 connection:1 context:3 whole:2 arbitrarily:5 point:47 simple:3 corresponds:2 dimensional:7 simply:5 asserted:4 throughout:2 pp:5 described:4 transformations:1 monthly:2 z1:1 reduction:1 describes:1 pj:12 pk:1 extreme:1 meeting:2 empty:1 surjective:4 inradius:1 remark:1 determination:2 p2:9 p0:5 p1:7 classifications:1 look:6 solid:1 straight:1 tetrahedron:6 evaluated:1 while:12 replaced:3 compactness:4 evaluating:3 di:1 loop:3 vol:1 averaging:2 itself:2 lengths:2 belong:1 proved:1 development:2 literature:2 robust:2 lower:2 analysis:2 edge:12 distances:10 boundedness:1 questions:4 world:1 letting:6 source:1 ellipsoids:1 location:2 theorem:26 remaining:4 putnam:1 march:1 evaluate:2 couple:1 cardinalities:1 integer:4 bit:2 νx2:11 νx1:11 rotate:1 follows:9 translates:1 yields:4 translated:2 mcgraw:1 terminology:1 mathematical:3 sketch:2 methods:1 some:20 back:2 economic:1 examples:5 curious:2 scale:1 ferm:1 shall:5 isometrically:2 integration:1 providence:1 behave:5 connecting:2 proc:2 minimal:1 run:2 samelson:1 bn:1 bi:3 bj:2 step:5 bw:3 dilating:1 hilbert:1 integers:2 goods:3 entailed:1 range:1 involving:1 into:27 within:9 integral:8 isomorphic:2 appropriate:2 span:2 springer:1 u1:4 u0:22 long:1 busemann:2 translate:7 sections:1 arise:3 line:12 heinrich:1 directed:7 intuitive:1 up:6 us:40 poonen:1 un:1 verification:4 planes:7 nonconvex:1 similar:4 calculated:1 kahan:1 ordered:1 defined:6 coincides:2 doesn:1 obtuse:1 formalism:1 polygon:1 retract:2 realizability:1 elements:23 generated:2 sides:5 structure:3 implies:1 algorithm:1 vice:1 required:2 orbit:2 equivalently:1 basepoint:3 far:3 requires:1 having:16 once:1 gv:3 partial:2 gr:2 enseignement:1 results:8 ge:1 proposition:13 edu:2 go:5 adjustment:1 contributions:1 compact:29 send:1 excluded:1 include:3 sent:1 ginn:1 outside:1 stiff:1 notes:2 radii:22 try:1 minimizing:5 noted:8 configurations:1 concluded:1 smaller:8 zi:8 zj:3 imply:1 enclosed:5 incidentally:1 odd:1 victor:2 invertible:1 chicago:1 giving:9 thirds:1 bergman:2 poles:2 expresses:1 3f:2 exercise:2 led:1 chose:1 respectively:7 desired:6 objects:1 sink:1 others:1 z0:6 implicit:1 z2:1 morphisms:1 great:6 weinstein:3 technical:2 larger:6 contradiction:3 suggests:1 resulting:1 hexagon:7 makes:1 involves:1 examining:1 nearest:1 scaled:1 wit:1 names:1 apply:2 clockwise:1 tools:1 use:12 che:1 usa:1 remains:1 next:12 few:2 jonathan:1 sort:3 circumcircle:1 started:1 becomes:2 baby:1 iii:10 sph:1 balls:6 obvious:3 codimension:1 meet:2 proof:40 calculation:4 lock:1 pieces:1 weaken:1 holds:9 regions:1 instead:1 circular:1 realized:11 introduced:2 computations:1 light:1 element:20 realizes:2 allow:2 subsequently:1 discussion:1 linea:1 houston:1 six:1 move:1 produced:1 looks:1 banach:1 mentioned:3 complicate:1 la:1 chosen:3 euc:9 estimating:1 choose:8 defining:7 eur:1 constructible:1 greater:6 material:1 snake:1 rotation:1 university:2 traced:1 identified:2 sufficiently:2 metr:28 tuples:1 doing:3 related:3 deficiency:1 exceeded:1 our:47 special:2 out:10 category:3 bag:1 wholly:2 geom:1 suffices:4 math:20 york:2 philip:1 afterward:1 geometry:3 determining:1 could:8 david:4 length:48 hence:52 south:1 isbn:1 bijection:2 bjorn:1 precisely:2 publication:1 strict:5 behaves:1 system:1 their:7 final:10 tuple:2 completed:1 exactly:6 lists:1 tacitly:1 retraction:2 curves:8 thereto:2 need:2 constrained:1 clearly:12 illuminated:2 mappings:1 min:3 instance:8 relatives:1 concerns:1 mit:1 calculus:1 unless:2 who:1 connected:5 overlapping:1 segment:9 class:7 consequences:1 face:1 graphs:3 fact:11 purely:1 rough:1 trivial:1 subtracting:2 q1:5 q0:5 q2:8 based:1 should:2 terminal:1 lemma:43 inherited:1 attained:6 achieve:2 cube:8 means:1 familiar:1 ones:1 words:2 probably:1 kreis:1 fixes:1 calling:1 contain:3 cycles:5 view:1 modulo:1 computed:1 exists:10 geometrically:1 closer:3 wire:5 written:4 closed:58 invariant:3 neither:4 zbl:1 le:1 hypothesis:1 amer:5 antipodes:1 restrictions:1 taking:10 equal:17 etc:1 admit:1 passing:2 otherwise:2 comment:1 adjusted:2 relevant:1 co:4 cn:5 conclude:3 ca:1 leipzig:1 cf:8 decreases:2 maximize:2 sequences:1 respect:4 cv:4 piecewise:1 addition:1 define:7 arises:2 corresponding:8 subspace:14 assert:1 angles:1 c2:1 c1:6 present:2 subsets:15 contexts:1 value:23 rectangular:1 will:65 almost:2 vi:6 thus:16 vn:1 examined:1 dual:2 claimed:4 cross:1 member:3 orper:1 unity:1 units:1 gets:2 ball:27 http:1 effect:3 v0:2 v1:1 infinite:5 frequently:1 identity:1 off:2 reflection:2 well:6 thought:1 sets:11 excessive:1 less:6 obtain:3 sources:1 reasons:1 extends:1 increased:2 semicircles:1 checking:1 five:1 know:6 presume:1 press:1 immediately:1 intersection:9 loss:2 like:5 lost:1 circumradius:1 martin:1 become:4 works:2 because:7 classical:1 sequence:5 belonged:1 choosing:1 convex:69 proper:1 proofs:1 happens:1 leaf:5 lead:5 nonempty:22 does:25 assuming:5 intersections:1 simplex:2 simpler:3 gained:1 about:28 extension:1 getting:1 freedom:1 transitive:2 revise:1 subset:54 equally:2 own:1 previously:2 functional:1 ai0:1 weighted:2 eine:1 additional:2 pairing:1 much:1 terminates:1 function:20 north:1 triangular:1 but:37 construction:11 highest:1 he:3 made:9 compute:1 whether:6 wish:2 smooth:4 below:6 limit:1 problem:7 display:1 strengthens:1 suprema:2 universal:19 contribute:2 denote:9 inf:14 functions:11 nonetheless:1 ummung:1 disjoint:1 other:32 details:1 quantities:1 nonincreasing:1 conclusion:4 radially:2 jung:3 understand:2 |
0704.0276.txt |@word sco:4 gs:2 angles:3 pointing:2 caused:3 magnetic:13 results:1 gc:1 comments:1 winds:3 inflating:1 reheated:1 revealed:2 centers:2 searched:1 whose:2 depend:1 calculate:1 ız:3 microwave:1 uniqueness:1 helps:1 th:4 alberta:2 indicating:1 mpg:1 very:2 frequencies:1 rise:6 bφ:2 wave:1 fan:3 orientations:1 summarized:1 bubbles:1 encounter:1 believed:1 supernovae:2 presented:2 positions:1 shock:3 joined:1 correct:2 large:9 ρi:3 unrelated:1 reich:9 science:1 small:3 div:1 concluded:1 upper:2 neighborhood:1 pasj:2 approximation:2 surrounding:2 imply:2 asp:1 displays:1 arms:1 remarkably:3 unlikely:1 wmap:12 spectral:4 index:4 what:1 giving:4 sun:11 sum:1 debate:1 current:1 ˆb:5 poles:10 above:2 sideways:1 new:14 centaurus:2 consisting:3 filled:1 thin:2 crifo:1 bi:7 full:2 complex:5 respectively:4 mccray:1 component:3 here:6 agreement:1 ranges:1 downloaded:1 compressed:1 excess:2 path:2 along:5 strong:3 table:1 tomisaka:2 box:1 wolleben:7 parameters:6 canadian:3 institute:1 study:2 vectors:3 bb2:1 suggests:3 survey:11 published:1 complicated:1 deg:4 makes:2 explain:2 elongated:1 heiles:7 diameter:2 prints:1 projection:2 apr:1 merely:1 explained:1 scaled:2 visible:1 remnant:1 counts:1 total:4 unit:4 wielebinski:3 use:2 eye:1 figure:1 would:3 distinct:1 faint:1 finally:1 vol:1 therefore:2 taken:5 scope:1 associated:1 theoretical:2 today:1 more:2 snowden:2 comparison:1 started:2 initial:1 expose:1 emission:35 clue:1 appendix:1 observations:1 known:1 adequate:2 must:3 ii:2 account:4 ma:3 indicates:3 deformed:1 avoiding:1 past:1 cap:2 modified:1 mk:8 reproduce:1 minimum:2 values:3 temperatures:1 evolved:1 following:1 making:1 root:1 latitudes:8 history:1 tab:1 indicated:2 give:1 predict:1 expanding:5 india:1 high:5 pushed:1 salter:4 performed:1 council:3 sharp:1 bl2:1 occur:1 motion:1 scorpius:1 rather:2 s2:15 s1:21 means:2 xˆ:4 feature:2 overlayed:1 regions:6 maps:6 low:6 place:1 explains:1 sin:1 filament:4 circular:1 map:3 galactic:32 description:1 may:4 earlier:2 southern:8 catalog:1 reflect:1 wrong:1 produce:1 snr:5 data:26 parallel:2 nps:20 short:1 attempt:1 third:2 resemble:1 ss:1 dot:1 lines:5 ghz:17 element:3 quadrant:4 complexity:1 cannot:1 so:3 subsequently:1 lambda:2 order:2 wind:1 egger:2 integrated:2 evolutionary:1 remnants:1 help:1 office:1 produces:2 developed:1 over:5 toward:1 years:2 produced:4 paper:8 through:8 motions:1 cuts:2 mentioned:1 its:15 galaxy:3 observational:1 positional:1 outer:4 thank:1 fit:10 located:2 chosen:1 vicinity:1 coordinates:2 better:1 detected:3 vexp:4 compelling:1 fig:21 latitude:2 image:1 maximal:1 good:3 thereby:2 gray:1 cen:4 outlined:1 scaling:2 band:6 aniz:3 effects:2 instead:1 front:1 rotation:7 association:4 several:1 hereafter:2 brightness:1 university:1 drop:1 leading:1 magnitude:2 bonn:1 each:6 found:4 difficult:1 characterized:1 berkhuijsen:3 differential:2 simplicity:1 ed:1 energy:2 strip:1 kothes:1 group:1 society:1 astrophysical:2 begun:1 reached:2 loops:2 beyond:3 out:3 canada:4 emerges:1 shown:2 closest:2 factors:1 tried:1 projected:1 research:3 looking:3 vector:4 reader:1 suggesting:1 newly:1 squares:1 cause:1 occurs:1 note:1 shows:5 after:1 circumstance:1 derived:2 confidence:1 given:1 standard:1 geus:2 formation:3 brightest:2 intensely:1 intermediate:2 estimate:1 superimpose:1 beginning:1 implication:1 interaction:2 geometry:2 could:3 area:1 mac:1 supershell:1 counterpart:1 length:3 plane:8 tangled:1 ism:4 assumed:2 hence:2 onto:2 interact:2 first:5 origin:2 already:1 features:3 manuscript:1 thesis:1 number:1 done:2 inspected:1 impossible:1 ring:1 clarity:1 passes:1 surveys:3 strasbourg:1 introduction:3 unknown:2 top:13 system:1 least:1 indicate:2 assumption:1 too:1 passed:1 iau:2 white:1 perfectly:1 structures:6 sensitivity:2 gives:4 uyaniker:1 shell:26 stars:1 discussion:1 centered:2 lupus:1 optical:2 western:3 apjs:1 authors:1 natural:1 percentage:1 relative:1 observatory:2 superbubble:1 bubble:9 second:3 modelled:4 smoothed:1 project:1 depolarization:12 intensities:3 aas:1 were:6 providing:1 solely:1 spurs:1 projections:2 longitudes:1 randomly:1 medium:4 headings:1 supershells:1 seen:8 any:1 viewed:1 relatively:1 lie:1 wilson:1 strength:3 angle:8 zero:2 rout:5 contour:1 polarization:31 sciences:1 fitting:2 without:1 take:2 online:1 destroy:1 coincide:1 circles:1 towards:11 stockert:1 who:1 most:3 cnrc:1 regular:1 tkin:1 circled:1 phase:1 segment:1 why:1 latex:1 calculated:1 cover:1 neutral:1 km:5 dissolved:1 part:3 velocity:2 left:2 physics:1 bulletin:1 fact:1 location:2 show:6 supported:1 rotating:1 radii:3 radio:13 drawings:1 cds:1 superimposed:1 thickness:1 find:1 partners:1 q2:1 based:6 just:4 northern:10 bochkarev:3 enough:1 should:1 colloq:1 surroundings:1 only:4 black:2 emitting:5 circle:3 local:12 accurate:1 hit:1 tracers:1 distance:1 explosions:1 de:4 preferred:2 likely:4 polarized:31 longest:2 subgroups:2 international:1 portions:1 spur:3 reveal:1 evolution:2 continuum:1 spoelstra:2 fields:4 arxiv:3 vizier:1 predicted:2 activity:2 qi:2 weaver:7 shapiro:1 ser:1 achieved:1 national:3 turbulent:1 lnp:1 observed:8 intensity:15 computer:2 radius:2 result:3 enhanced:1 operated:1 close:1 arm:2 best:5 subject:1 vertical:1 zweibel:1 pattern:4 away:1 currently:1 boundaries:2 macros:1 outside:2 correctly:4 between:3 probably:3 neither:1 across:1 available:1 apell:3 recently:5 reproduced:3 right:2 confusion:1 supernova:5 weak:3 however:7 reproduces:3 consists:1 invisible:1 kev:2 come:1 suggested:3 observable:3 cos:1 outcome:1 last:1 resides:1 many:1 region:20 acknowledge:1 heating:1 attributed:2 agree:1 negative:1 figures:2 sketch:1 depict:1 argue:1 whole:1 nearby:1 presumably:1 extent:2 point:2 wall:1 seems:1 ca:2 cf:3 coincidence:1 dimensional:1 na:1 pole:5 anti:1 exhibits:1 cancel:1 faraday:7 ucl:2 bθ:2 described:6 kinematic:1 radiative:1 due:3 been:6 mark:1 pc:5 magnetized:1 expected:1 ph:3 pi:1 differently:1 direction:4 myr:9 eastern:2 nrc:2 ages:1 gas:3 great:1 vaudrevange:1 systematic:1 those:1 case:2 intriguing:1 irregular:1 publicly:1 solid:3 crossed:1 expanded:2 appearance:1 evaluated:1 rectangular:1 while:2 abrupt:1 property:1 taking:3 loop:23 lineof:2 real:1 orientation:2 fujimoto:1 almost:3 characteristics:1 thus:1 surprisingly:1 surface:2 according:1 rin:5 nserc:1 conf:1 ambient:3 different:5 author:1 lengths:1 suggest:2 began:1 radiation:1 same:1 archive:1 member:1 parts:1 units:2 ray:10 events:1 higher:1 visually:1 used:4 http:2 see:7 paths:1 welsh:1 comprehensive:1 permit:1 counterparts:1 hand:1 levels:1 uses:1 v5:1 dust:1 castor:1 ferriere:2 recent:3 energized:1 vantage:1 lower:1 center:8 scenario:3 nevertheless:1 studies:1 inflate:1 well:8 roughly:1 analysis:2 obviously:2 edge:1 components:2 sets:1 coordinate:1 position:1 model:31 drawing:1 subgroup:3 spherical:3 landecker:3 proposed:6 less:3 being:1 edmonton:1 shape:4 predicts:2 arctan:3 scattering:1 previous:3 oriented:1 preprint:1 candidate:1 conclusions:1 similarities:1 sky:9 simple:2 lallement:1 halo:2 easy:1 relevance:1 divided:1 associations:1 l83:1 around:8 depends:1 evaluate:1 absence:1 possible:1 caps:4 crux:1 possibly:1 lcc:8 background:3 denser:1 confined:1 using:2 unique:1 prominent:2 apj:6 like:2 follows:1 stoffel:1 velocities:4 v2a:1 mhz:4 become:1 page:2 therein:1 www:2 because:7 old:4 polar:4 some:3 sight:14 moreover:1 extended:2 repeated:1 delivered:1 scale:6 describing:1 bottom:10 demonstrates:1 haslam:3 overlap:3 contrast:1 does:2 masked:3 assuming:1 steps:1 sofue:3 run:1 bb:3 bc:1 bl:3 burn:2 aj:1 perpendicular:4 expansion:4 stellar:5 symp:1 although:2 inherent:1 filaments:1 zeeuw:1 prepared:1 panel:3 stokes:4 about:6 tracing:1 ob:2 o:1 reduced:1 intergalactic:1 dominion:2 mixed:1 referred:1 slightly:1 contours:2 astronomical:1 facility:1 previously:2 into:7 within:11 interstellar:2 three:2 down:1 square:1 references:2 determine:1 2v4:1 refined:1 t6g:1 uncertainties:1 legacy:1 than:2 shells:27 intrinsic:2 support:1 there:2 spiral:2 long:1 start:1 accordingly:2 detectable:1 inner:5 way:1 astrophysics:2 was:11 synchrotron:12 filamentary:1 north:4 differences:1 agrees:1 but:4 astro:2 hemisphere:8 solar:2 mnras:1 line:17 applying:1 evident:1 inside:5 up:1 us:6 until:1 mpifr:1 below:2 ui:2 distribution:2 similar:1 called:3 detailed:2 taylor:2 constant:1 moore:1 abstract:1 describe:1 lub:1 ap:1 engineering:3 sfeir:2 accounting:1 simplest:1 triangles:1 ni:3 compared:1 want:1 no:4 dashed:5 reality:1 members:1 field:25 other:3 electrical:1 department:1 picture:4 herzberg:1 superposition:1 provided:1 models:4 resembles:1 includes:1 a1:1 a3:1 a2:1 a4:1 drao:12 structure:3 ago:7 younger:1 correlated:1 implies:1 algorithm:2 age:5 space:4 nasa:1 fitted:6 time:3 resolution:2 |
0704.0277.txt |@word secondly:1 gr:3 chain:1 wi0:1 results:1 roy:1 proposition:7 alt:13 gi:4 consider:3 compact:3 whose:3 graph:1 ingredient:1 alternating:1 g1:2 rise:1 rl:6 corollary:1 orner:1 lecture:1 simplicies:1 convexity:1 dim:2 level:1 wegner:1 proc:2 discrete:3 vector:1 rj:1 yale:1 noted:1 boca:1 sign:2 imply:1 dxj:1 gm:2 spectral:7 filtration:1 section:4 version:1 suppose:3 journal:1 raton:1 unbaum:2 understanding:1 simplices:3 groups:1 others:1 eckhoff:1 remark:2 institute:1 study:1 akk:1 akj:1 action:3 suitable:1 carath:1 via:1 projection:6 classification:1 apr:1 wij:1 vip:1 wip:1 resolutions:1 univ:1 prove:1 positive:1 contains:1 therefore:1 vi:7 type:5 israel:3 zivaljevi:1 eodory:1 vi0:1 particular:1 known:1 cardinality:1 isomorphism:3 join:1 science:2 regularity:2 mk:8 radon:1 mp:6 following:5 discriminants:1 example:1 proof:9 dxk:3 numbers:2 arise:1 singletons:1 provide:1 write:2 significance:1 map:1 algebra:1 may:2 max:2 earlier:1 singularities:1 dx2:3 consequence:1 cambridge:2 arch:1 realized:1 short:1 natural:1 sp:20 sk:5 complexity:1 asserts:1 definitions:1 order:3 sd:4 houston:1 indeed:3 over:1 paper:1 london:2 mentioned:1 satisfies:3 its:1 group:1 interesting:1 lk:7 fij:5 mail:2 main:4 into:2 non:2 good:4 motivated:1 singularity:1 now:1 february:1 fi1:1 equality:1 university:2 iff:3 subset:2 leray:9 measure:1 our:2 meshulam:3 ep:10 shown:2 space:2 since:4 induces:2 research:2 rd:7 combinatorial:2 geom:1 rational:5 conjectured:1 denoted:1 formula:1 induced:4 suffices:1 ri:3 math:9 rk:1 foundation:1 fiber:1 theory:2 motzkin:2 asz:1 clique:1 pairs:1 reisner:1 geometry:4 phrases:1 collapsing:1 impose:1 nonnegative:1 chordal:1 hence:6 onto:1 isf:1 first:3 xj:14 xk:30 xi:5 subcomplex:2 xm:1 idempotence:1 number:7 xr:1 ring:1 fiji:2 ser:2 given:6 introduction:2 their:1 assumption:1 realization:1 lov:1 gives:1 x2:3 x1:36 coefficients:1 holland:1 see:10 projections:1 motivation:1 comput:1 generality:1 argument:1 generalization:2 already:1 say:1 disjoint:4 any:6 mappings:2 note:5 goodman:1 k0:1 generalized:1 hp:4 multiple:5 complexes:4 bsf:1 technion:2 considered:1 kj:2 ki:3 later:1 cover:4 kn:2 kp:5 hi1:4 show:2 supported:2 keywords:1 find:2 homology:9 aσ:11 based:1 basel:1 topological:14 lemma:1 attained:1 his:2 dk:3 goryunov:6 subcomplexes:4 hij:1 geometric:1 closure:1 arxiv:1 crc:1 cells:3 requirement:1 set:13 computed:1 exists:3 depends:1 computer:1 result:7 stanley:1 ark:1 subject:1 partition:2 symmetric:1 behind:1 boundary:1 numerous:1 terms:2 importance:1 confusion:1 vanishing:3 ji:2 amer:1 recall:1 σk:10 σj:8 mond:5 equal:1 σw:1 otherwise:2 co:1 point:5 simple:1 cohomology:1 dimensional:3 grants:1 proved:2 cq:2 combines:1 kalai:3 commutative:1 union:4 wills:1 due:2 interest:1 abstract:1 empty:4 define:1 liverpool:1 families:2 easy:1 σi:2 understand:1 present:1 case:1 bσ:7 replaced:1 ip:1 vj:1 thus:2 vm:9 ik:7 ij:2 cone:1 hebrew:1 il:2 same:1 complex:10 finite:5 used:1 eds:3 i1:8 i0:1 hand:1 v1:9 vertices:1 well:1 without:1 components:1 sets:14 coordinate:1 monomial:1 obtain:1 underlying:1 identify:2 intersection:4 family:13 regarded:1 vij:2 contractible:3 theorem:28 press:2 integer:1 subfamily:1 loss:1 semi:1 follows:7 either:3 nerves:1 topologically:1 haifa:1 right:1 often:1 classical:1 sequence:7 some:3 ideals:1 deduce:1 convex:5 images:1 dimensions:1 otschel:1 assuming:1 intersections:2 chains:1 minimal:5 equivalent:1 bj:1 simplex:8 central:1 extension:2 most:3 theorems:3 o:1 reduced:1 extensions:2 converging:3 nerve:5 soc:3 computational:2 inclusion:2 image:3 isomorphic:3 nsf:1 references:1 amsterdam:2 jerusalem:1 methods:3 additional:1 combinatorics:2 there:5 handbook:3 gil:1 was:2 himself:1 north:1 huji:1 hq:6 hi:3 link:1 hm:1 subdivision:1 considerable:1 excision:1 applying:1 borsuk:1 unneth:1 below:3 similar:1 homotopy:1 simplicial:9 ac:2 interval:2 ordered:1 computing:3 ak:5 describe:1 compositio:1 denote:9 rourke:1 together:1 formulation:1 graham:1 gruber:1 a1k:1 deeper:1 again:1 no:1 when:1 application:2 other:1 role:1 department:1 mathematics:3 you:1 vertex:8 implies:5 assume:2 helly:14 departments:1 northholland:1 original:1 |
0704.0278.txt |@word neighbors:1 represent:4 monte:4 dist:4 gr:13 maximum:4 alg:1 results:6 existing:2 four:3 rapid:1 computation:1 consists:1 follow:1 remarkably:1 denotes:4 contributions:2 rou:27 consider:5 regularize:1 whose:7 preserves:2 hold:2 depend:2 lkk:4 integral:5 advantage:1 graph:10 concerned:1 equivalence:1 canonical:1 equilibration:1 presents:1 finally:2 daniel:1 those:3 th:2 under:8 analogous:3 include:1 resources:1 divergent:5 summarizes:2 case:13 supported:1 amplitudes:15 straightforward:1 very:4 listed:1 continues:1 strong:2 helpful:1 wave:1 rotational:1 uwo:2 summarized:3 affect:1 bubbles:4 variance:2 matrices:2 deformations:2 preserve:1 illustrated:7 basics:1 obvious:1 provide:1 presented:1 did:2 irreducible:7 notes:1 list:1 solution:1 fewer:1 t1:1 large:13 discrete:3 convenience:1 subscript:1 small:6 relation:3 dip:1 originally:1 freidel:3 configurations:3 10j:14 averaged:1 slower:1 broader:1 ten:2 ponzano:4 dealing:2 consistent:4 estimates:2 direct:1 sign:4 fold:2 zero:12 christensen:14 mk:2 picked:1 iσ2:1 ter:1 implemented:1 tet:4 expressions:1 ribbon:3 goes:1 even:5 aim:1 what:2 appear:1 kauffman:4 sum:9 selected:1 brief:2 find:2 polygonal:1 version:7 ito:1 suq:24 shared:1 avenues:1 contributes:1 journal:9 satisfy:1 compact:1 condensed:1 discontinuity:3 simultaneously:1 evaluating:4 degree:6 respectively:3 never:1 williams:1 here:6 hundreds:1 behaviour:1 following:3 explore:1 groups:1 situation:1 represented:1 path:2 along:1 standard:4 equations:1 implicit:1 interpret:2 knowledge:1 obtained:9 great:1 incoming:1 splitting:4 technical:1 involved:2 study:4 studied:1 allows:2 approaches:1 through:7 guide:1 suggests:1 products:1 negative:9 action:1 slope:1 sphere:3 changes:3 involves:1 grqc:5 useful:1 projection:1 family:3 extra:4 discontinuous:3 tr:1 explained:1 majid:1 expect:2 ninety:1 decrease:1 peaks:2 summation:4 apply:1 counts:1 total:6 unit:1 contractions:1 plot:1 use:4 eye:3 takes:1 would:4 distinct:3 positive:15 contains:1 determined:2 predictions:1 plebanski:2 next:2 few:5 linear:5 bases:1 m4:1 m0:1 m3:1 m2:5 taken:6 theoretical:2 diagrams:1 more:7 separated:1 sharing:1 formally:2 effectively:1 apparent:1 odinger:1 curvature:1 tested:1 bold:1 appendix:9 labelled:7 known:4 foundations:1 cases:3 cardinality:1 preserving:1 must:5 high:1 account:3 isomorphism:2 defines:3 reisenberger:1 integrating:1 deformed:16 science:1 equation:16 work:5 mi:9 modified:1 jdc:1 theories:1 reviews:1 itself:4 values:25 exceptions:1 factorials:3 root:6 example:2 numbers:2 subtleties:1 practical:2 cosmological:11 give:1 introduces:1 distributions:5 permutations:1 grant:1 purposes:1 dependence:1 states:1 turaev:3 reviewing:1 exclude:1 triangle:4 constituting:1 occur:1 simple:1 absolute:1 information:1 regularization:2 redundancy:1 goal:2 turn:1 fortunately:2 discussion:1 feature:1 chemical:1 maps:1 varies:1 relative:1 adapted:1 holland:1 instead:5 binder:1 constraints:4 parameter:15 dominance:1 proof:1 greatly:2 map:1 product:4 express:1 description:1 algebra:12 replacing:4 max:5 ladder:1 after:1 derived:2 needs:1 fluid:1 tetrahedra:5 applications:4 explored:1 distances:2 deviates:1 fits:1 representations:18 horizontal:1 choice:5 data:5 parallel:1 addition:1 geometric:1 maxk:2 short:2 physical:7 dynamical:1 effective:1 computations:2 chern:1 summing:1 su:23 lengths:1 cannot:2 so:10 fundamental:3 correlation:16 representation:6 order:2 prefactor:2 operations:1 restriction:1 interpretation:3 deform:1 attain:1 developed:1 over:14 insight:1 primitive:1 interpreted:1 symbols:3 evaluated:1 paper:8 london:2 statistical:3 lattices:1 argued:1 japan:1 satisfies:1 still:8 skeleton:4 its:24 roots:1 before:4 supplemented:1 group:5 probability:4 fit:1 how:4 treat:1 fix:1 relativity:3 nontrivial:1 exhibits:1 writing:1 better:1 degrees:2 choose:1 metropolis:8 mail:1 main:3 might:1 deformation:22 maximal:1 them:4 motivated:2 greater:1 2lk:1 numerically:4 impossible:1 investigated:1 landau:1 yields:2 sections:1 effects:1 they:11 half:12 inception:1 rotation:1 framed:1 discuss:1 teller:2 down:1 february:1 finite:4 simplices:4 temperley:1 2s:1 always:3 university:6 classified:1 arrows:1 identified:2 hepth:2 sin:2 possibilities:2 2e:3 2f:1 inequality:2 diagram:4 2a:3 2b:3 each:12 crossing:5 found:3 raised:1 traces:2 side:1 associative:2 referred:2 square:3 directly:1 weight:1 t2:1 braiding:3 approximates:2 used:3 conventions:4 balanced:4 literature:2 computable:1 yield:2 begun:1 positivity:3 quantum:38 our:6 extract:1 influenced:1 out:5 canada:2 juxtaposition:2 shown:5 network:19 steps:2 space:11 restricted:3 triangulations:14 since:9 squared:1 projected:1 research:1 may:7 extrapolate:1 investigation:3 dominated:1 rational:1 denoted:2 formula:1 dominate:2 evaluation:8 occurs:2 math:1 shows:1 crossings:2 numerical:12 theory:13 b3:1 walk:2 divergence:1 attempt:1 possibility:3 enveloping:1 manifestly:1 homeomorphism:1 carried:1 term:1 besides:1 indicates:4 compositions:1 a4:1 definition:6 pairs:1 perform:1 derivation:4 r3:2 geometry:2 alder:1 transition:1 times:1 counterpart:1 thing:1 length:1 produce:2 exponentially:1 signature:1 consequence:1 advance:1 view:1 onto:1 think:1 first:4 there:8 features:1 symmetry:1 striking:1 variables:1 symbolic:1 number:9 linking:1 restrict:1 obey:1 smaller:1 relations:3 another:2 force:2 precisely:1 open:1 angular:1 size:2 given:18 kodama:3 checked:1 publication:1 similarly:2 introduction:1 leading:1 extrinsic:1 structured:1 amsterdam:1 accordingly:1 least:3 grow:2 roche:2 their:13 manifolds:1 identity:3 calculations:1 limited:1 molecular:1 exponents:1 noui:2 gives:2 correlations:1 lot:1 rest:1 using:3 lk:14 postgraduate:1 tool:1 continuous:1 interesting:1 plane:1 luckily:1 part:2 western:2 somewhat:1 authors:2 natural:2 foams:12 than:5 coefficients:2 begins:1 distance:13 kind:1 legs:1 unfortunately:3 princeton:4 bubble:17 depends:2 limiting:1 regulator:2 future:3 validity:1 speaking:1 amplitude:14 were:8 providing:1 solely:1 decompose:1 bimodal:1 exhibit:1 mink:2 rewrite:1 ran:1 turned:1 argument:2 generalization:1 correspond:4 randomly:2 already:1 conjugate:1 need:3 seen:3 constrained:2 any:16 lie:7 generalizes:2 constructions:1 computationally:1 rotations:1 min:5 carlo:4 latter:1 depicted:1 able:3 gravity:19 note:7 formulation:2 erator:1 generalized:2 analogy:1 schematically:1 2d:1 subject:4 analogs:1 adopted:1 calculus:1 formulas:2 begin:1 exactly:1 trace:8 shall:1 singles:1 sequence:1 pachner:2 most:7 regular:1 intertwiners:5 rejected:1 significant:1 reducible:2 histogram:1 class:1 tangles:2 tensor:2 scientific:1 especially:3 surprising:2 considered:2 international:1 average:12 partition:11 vertices:9 face:19 2nd:1 graphs:6 assignments:1 bracket:3 exp:7 thank:1 left:1 physics:13 section:28 dot:1 joining:1 2m2:1 2m1:1 subtly:1 show:5 nπ:1 labels:18 attempts:1 gauge:1 curves:2 range:2 uniform:1 trivial:1 networks:14 evaluations:2 boundaries:2 slow:1 based:3 proposed:1 every:2 rovelli:10 transformation:4 written:2 topological:2 should:4 examples:1 ed:3 only:13 explicitly:1 generators:1 specify:2 factor:10 density:2 combinatorial:2 do:6 move:2 handle:2 above:12 notation:6 admissible:9 dependent:2 dd:2 regge:4 overall:2 expectation:21 satisfied:3 ones:1 nearly:1 aforementioned:1 theta:1 report:1 during:1 hypothesis:2 tsang:1 falling:1 areas:1 runs:3 saito:1 virtue:1 arxiv:21 invariants:2 diverge:1 remove:1 rotationally:1 twice:1 qc:10 racah:1 including:2 homeomorphic:1 fixed:5 discussing:1 qn:1 riemannian:6 ignored:1 requirement:1 set:5 computed:1 reference:2 notational:1 j4:6 variations:2 brute:2 j1:28 j2:38 j3:6 connections:1 see:6 individual:2 result:5 discussions:1 close:6 analog:2 techniques:3 closer:1 instance:6 commutation:1 ways:1 nuclear:2 review:3 fqrnt:1 rejecting:1 label:1 symmetric:2 state:6 smallest:1 cambridge:4 closed:3 between:10 halfinteger:1 invariant:6 boundary:4 conditions:5 quantities:2 available:1 multiplied:1 notice:1 terms:6 ability:1 extend:1 nature:3 attention:1 points:4 however:8 acknowledgements:1 carter:1 spectroscopic:1 efficiency:1 incident:3 concentrate:3 ub3:2 ji:3 key:2 jk:6 distinguish:1 problem:3 barrett:25 both:9 σi:1 limits:3 freely:1 ill:1 decay:1 b1:1 hence:2 nserc:2 quantization:1 connection:1 embedding:1 faces:22 distinction:2 mean:2 expression:6 jersey:2 otherwise:4 wade:1 labellings:1 anti:1 jj:2 point:3 reasons:1 qa:1 ca:2 cf:4 cd:8 semiclassical:3 directions:1 simply:5 constant:13 throughout:1 society:1 considering:1 ceperley:1 pp:3 boil:1 described:6 transformations:1 second:3 basis:2 union:1 depending:1 igor:1 due:3 been:3 quickly:1 ai:4 much:5 change:3 interest:1 basic:1 collected:1 figure:15 improve:1 abstract:5 define:5 graphical:2 describe:1 corresponding:7 observable:9 mind:1 6j:3 formed:1 precision:2 new:2 proportional:2 understand:1 representative:1 superdimension:1 evidence:1 spin:153 former:1 present:3 applied:2 extracted:1 exception:2 pacs:1 tensors:1 admissibility:3 tetrahedron:3 nski:1 value:22 choices:2 will:10 while:12 replaced:2 bounds:1 behavior:12 error:2 sharcnet:1 evaluates:5 property:2 homology:1 leaves:1 loop:4 real:1 planar:1 larger:12 cell:1 simons:1 best:1 inequalities:6 twists:1 av:3 thus:6 non:13 surface:1 according:1 disjoint:1 viro:3 examined:2 dual:23 turns:2 ready:1 pronounced:2 c0:1 floating:2 lecture:1 around:2 different:9 recover:1 severity:1 author:2 generic:2 commuting:1 rosenbluth:2 same:17 unity:4 complex:6 pleba:1 pauli:1 largest:2 resulting:1 proved:1 several:5 composition:1 difficult:2 development:2 independent:4 extended:2 assigns:2 singapore:1 assignment:1 foam:38 counterparts:1 hand:5 triangulation:32 usually:3 edges:11 yetter:11 invariance:2 spend:1 normalization:5 impact:1 implements:1 categorical:1 narrow:1 schr:1 immaterial:1 spacetime:2 no:3 well:6 pietri:2 without:2 thought:3 de:3 edge:9 easily:2 affected:1 model:49 recoupling:4 dimension:4 contingent:1 usual:1 inversely:1 world:1 manifold:7 fast:2 ae:5 less:1 being:1 nd:5 observed:2 knot:2 obtain:2 physically:1 isolated:5 assigned:5 thanks:1 questions:2 summed:2 facts:1 alternative:1 previous:4 heuristic:1 now:1 preprint:20 sometimes:1 conclusions:1 except:2 peak:3 realize:1 apr:1 iπ:7 extensive:1 mod:4 remaining:1 momentum:1 take:1 identical:1 egan:4 aspects:1 k5:2 loss:1 rules:1 breaks:1 sums:4 possible:5 topology:2 corresponds:7 finding:1 increases:1 five:4 makes:3 background:1 vacuum:1 press:5 integer:13 imposed:1 unique:3 moreover:1 essential:1 dimensional:7 valent:4 necessary:5 like:2 semi:1 follows:4 facets:1 tend:3 discarded:1 intertwiner:4 transform:1 δj:6 either:4 arbitrary:3 translated:1 become:3 reduces:3 spins:14 mathematical:5 parity:7 because:1 methods:4 classical:13 krasnov:2 ergodicity:1 some:13 library:1 artificial:1 triple:1 regularized:2 linearly:2 growth:1 slice:3 b2:1 specified:3 oscillations:1 lorentzian:3 separately:1 scale:3 accepted:1 dimensions:2 avoid:2 investigations:1 3manifolds:1 benefit:1 per:4 whole:1 deserve:1 clebschgordan:1 does:2 archer:1 lattice:1 summand:3 tends:1 unstable:2 many:2 minimal:12 refer:1 pr:2 bf:3 ba:1 ramifications:2 slight:1 performed:1 uniformly:1 equivalent:1 2c:3 aj:2 ensures:1 bj:4 multiplicative:1 step:2 ztot:5 simplex:7 although:2 substitution:1 similarity:1 triangulated:1 properties:2 simpler:1 chapter:1 integers:16 about:1 inadmissible:1 bars:1 constraint:1 freedom:2 triviality:1 discussed:3 generated:3 o:7 simulation:11 compatible:1 remains:1 constraining:1 a2:1 ensure:1 2j:13 act:2 ti:1 introduced:3 slightly:3 bloch:1 software:1 lieb:1 cutoff:1 discretization:3 computational:1 letters:2 presence:1 previously:1 extreme:1 into:9 obtaining:1 three:5 undeformed:16 lies:1 right:2 references:1 baez:13 einstein:1 elementary:10 actually:1 refined:1 tetrahedral:3 approximately:1 theoretically:1 significantly:2 a3:1 ontario:4 hep:2 additional:1 area:5 suffice:1 placing:1 approximate:1 specifically:1 fully:1 kikuchi:1 restricts:1 way:3 labelling:2 m1:5 conceivable:1 was:11 naturally:1 function:21 project:2 north:1 complete:1 form:6 vanishing:1 smolin:4 criteria:1 lins:1 fj:2 but:6 hoped:1 expected:2 construction:2 link:2 convergence:1 bch:2 crane:31 truncation:1 made:2 applying:1 embedded:1 versions:1 whether:1 cells:3 uq:1 up:7 us:3 nearest:1 below:4 limit:13 continuously:1 distribution:10 similar:6 called:11 connect:1 strongly:4 ab:1 associated:4 af:5 defined:12 universal:1 contribute:2 symbolically:1 general:6 twist:6 single:23 arises:1 associating:1 scholarships:1 simulations:8 perez:9 curl:1 moves:17 identities:6 constructed:3 vertical:1 again:2 functions:7 compared:1 ingredients:1 index:1 estimated:2 when:14 detail:3 scaled:1 field:4 other:13 details:2 branch:1 spatial:2 department:2 mathematics:2 conclusion:1 deviation:4 picture:1 briefly:2 elements:1 denote:1 refining:1 trivalent:1 semiclassically:1 models:21 symbol:9 vertex:21 variation:1 occurred:1 a1:1 qσ:2 important:7 bounded:1 graphically:1 15j:2 needed:1 structure:8 matrix:1 correlated:2 implies:1 longer:1 algorithm:15 practically:2 established:1 odds:1 together:2 notion:3 reproduce:1 approached:1 fact:2 apart:2 time:9 qualitatively:3 observables:26 4d:1 once:1 starting:1 original:2 provided:1 normalized:3 |
0704.0279.txt |@word breadth:1 sci:2 consider:1 illustrates:1 caused:1 magnetic:1 global:3 results:4 leads:1 known:1 sellwood:7 higher:1 broader:1 edu:5 winds:1 follow:1 disk:30 assembled:1 increase:2 pogge:1 dickey:4 canonical:1 young:5 presents:4 those:8 determinations:2 stable:1 include:1 evenly:1 gaussians:4 case:2 lack:2 mpc:2 straightforward:1 very:3 ostriker:4 crosses:1 lockman:5 dispersions:19 fall:2 socorro:1 affect:1 difference:4 nor:1 entire:3 stanimirovic:1 unlike:2 presented:4 large:5 3c48:1 differential:1 small:6 relation:1 referred:1 noted:1 configurations:3 upper:8 smaller:6 slower:1 cooperative:1 trend:1 hindered:1 oort:2 direct:1 filled:1 dish:4 zero:1 value:1 corner:1 qualitatively:1 dynamics:2 implemented:2 calibrators:1 even:2 will:5 what:3 errors:1 appear:1 rate:1 section:1 agrees:1 experiment:1 above:2 designing:1 new:2 falling:1 rd:4 order:1 method:4 contrast:1 supporting:1 full:1 led:1 degree:2 respectively:3 component:4 residual:3 here:3 agreement:1 hours:3 smearing:10 others:1 represented:1 based:8 november:1 strong:1 respect:1 change:2 box:1 easier:1 drops:1 increments:1 dividing:1 pressure:1 study:4 larger:1 allows:1 example:1 memorandum:2 suggests:5 jose:1 resulting:3 milky:6 existent:1 proportionality:1 narrow:10 studies:8 explain:2 plotted:1 heiles:2 diameter:2 offs:1 azimuthal:1 followed:1 scales:2 apr:1 requiring:1 explained:3 interarm:2 private:1 replace:1 scaled:1 decrease:1 cold:4 total:7 memos:2 unit:1 plot:1 use:3 refers:2 reflected:1 franco:1 usa:2 etc:1 arms:8 next:1 few:6 kinematics:1 therefore:5 characteristics:2 taken:3 type:1 until:1 more:8 mhi:1 alberto:1 under:1 corrected:2 emission:15 warp:2 warm:2 everywhere:1 normalized:11 excellent:3 antennas:1 kulkarni:6 cases:1 aligned:3 must:2 sample:4 account:2 rotational:2 wyse:5 middle:1 science:1 der:10 work:1 refered:1 labeled:4 obvious:2 determining:1 dec:4 averages:1 scatter:2 numbers:1 control:1 compare:1 conf:1 figure:35 jacqueline:1 predict:1 discussed:2 suggestions:1 high:14 imaging:1 minimum:1 performed:3 allowed:2 ascension:1 r25:1 hydrogen:1 occur:1 simple:1 axis:24 huge:1 rays:1 recovery:1 falls:1 rather:2 helou:2 feature:2 regions:22 vla:8 quillen:1 significance:1 instead:2 verlag:1 sin:2 km2:2 profile:29 map:8 product:2 sne:3 galactic:12 description:4 piontek:1 after:2 derived:9 orbits:1 mac:5 plane:5 inst:1 date:1 data:34 response:1 starlight:1 supersonic:1 aj:2 short:2 attempt:1 dynamical:1 correlate:1 light:3 spectra:1 lines:3 element:1 algorithms:3 allow:1 correlation:6 halos:1 every:2 frogel:1 cs1:1 discussion:1 bins:1 bull:1 help:1 zee:1 indeed:1 over:5 vary:1 trade:1 produced:1 cook:1 thermal:2 paper:1 through:2 motions:14 during:2 kinetic:12 fwhm:12 its:4 galaxy:18 observational:1 derive:1 lb:1 thank:2 fit:15 located:2 exact:1 klessen:4 facility:1 kellermann:1 decreases:1 li:2 better:1 detected:1 degrees:2 systems:2 bin:6 image:4 round:1 them:1 good:3 mechanisms:2 greater:2 combination:1 universality:2 aoc:2 primary:1 scaling:1 units:8 motivates:1 subtraction:1 they:3 2σv:1 sorted:1 rotation:2 yr:1 maintaining:1 impressive:2 represents:10 term:2 document:1 hereafter:2 brightness:1 january:1 university:2 level:2 sufficiently:1 kpc:16 visibilities:1 mode:1 radial:6 break:1 found:9 entirely:1 circular:1 tracer:1 mean:3 haro:1 weighted:3 significantly:4 fairly:1 bump:2 series:1 energy:29 universities:1 gaussian:31 related:1 group:1 hanning:1 used:12 measure:4 our:14 approximated:4 beyond:1 adequately:1 out:1 deconvolved:2 shown:10 exponential:1 driving:1 space:1 gradient:2 quantify:1 since:1 rev:2 donovan:1 eskridge:2 asymmetries:1 ra:3 kelvin:1 suggesting:2 surprise:2 squares:8 ref:1 integrated:1 red:8 shows:10 foundation:1 asp:1 linear:2 tully:1 injecting:1 southern:2 galaxies:5 given:5 free:1 standard:1 fractal:1 please:1 formation:14 york:2 put:4 span:1 estimate:1 remainder:1 refer:1 driven:1 obs:1 benefits:1 widths:6 could:1 cosmic:1 magenta:4 times:2 produce:1 due:1 ism:10 assumed:1 hence:3 onto:1 south:2 first:2 knots:1 major:1 note:3 striking:1 confuse:1 number:7 approximate:1 channels:8 fits:6 warped:1 done:7 long:1 directly:2 array:3 fluxes:5 quality:1 size:2 ordinate:1 little:1 temperature:3 indicate:1 introduction:1 leading:2 top:3 d25:2 least:6 gallager:2 their:9 cooling:1 intermediate:1 brevity:1 observations:12 perfectly:1 sensitivity:6 gives:6 disks:2 way:7 rest:1 asymmetric:1 relative:1 contribute:1 accurately:1 artifact:1 assumption:2 optical:4 differentiate:1 somewhat:1 authors:2 spacings:1 than:17 peaked:1 distance:2 observatory:2 determines:1 sc:1 showed:1 ipac:1 was:30 require:3 measured:2 see:2 resampled:1 final:1 regulator:1 matter:1 determined:1 aas:1 were:21 identical:4 merits:1 providing:1 minus:1 20s:1 modeled:1 ran:1 locations:1 roughly:2 dash:2 discussions:1 headings:1 further:1 need:1 allen:3 seem:3 any:2 relatively:4 traditionally:1 angle:2 responsible:1 isolated:2 mechanism:2 mckee:2 extracted:1 ideal:1 potential:3 forces:1 online:2 finding:2 so:2 operated:1 strengths:1 text:3 explanation:5 channel:6 infalling:3 circles:2 spectral:3 multiple:2 trace:1 normal:3 track:2 cornwell:1 sfr:2 braun:6 most:8 connected:2 gauss:1 significant:4 micro:1 phase:2 faint:1 wnm:1 intrinsic:2 elstner:2 stands:1 constancy:1 constructed:1 observation:1 ke:4 clear:5 behaviour:4 km:45 face:4 proceedings:1 part:2 magnetorotational:1 clean:4 mechanical:1 north:5 velocity:59 constrain:1 left:8 gorkom:1 fact:2 selection:1 show:4 reductions:1 lewis:8 random:1 fich:4 discovered:1 radii:3 radio:6 astrophys:2 convolved:2 uniform:1 find:8 liese:1 impact:1 editing:1 ratio:3 parameters:1 ngc:52 front:1 varied:1 shostak:13 less:1 distributed:1 start:1 either:2 only:7 black:5 arcseconds:1 kruit:10 employed:2 local:1 centrally:1 ser:1 do:2 cube:17 tracers:2 means:2 explosions:1 grey:1 routine:4 broadest:2 beam:26 cannot:3 photoelectric:1 nearly:1 despite:2 holmberg:1 malhotra:4 procedures:1 areas:6 reveal:2 processes:3 resolve:1 continuum:3 staveley:1 fields:1 arxiv:1 median:15 mebold:3 remove:1 summary:2 nrao:4 investigate:1 rudiger:2 predicted:1 b1950:3 double:6 occurance:1 mjy:9 green:5 rms:4 stacking:1 set:8 ned:1 thesis:2 observer:1 edited:1 problem:1 national:3 hα:6 deconvolution:2 up:3 observed:11 intensity:17 individual:1 radius:10 result:1 corrupt:1 explosive:1 kf:2 arm:4 best:3 subject:1 probable:2 extragalactic:2 movie:1 rings:2 sites:1 superb:1 symmetric:2 macros:1 outside:4 various:3 inset:1 correctly:1 between:26 across:6 wide:1 available:3 terms:2 vertical:3 missing:1 supernova:1 points:3 however:7 dissipates:1 percent:1 modeling:2 configuration:9 pixels:2 suggested:2 both:7 cos:3 cubes:1 observing:1 limits:1 vsys:1 tapered:1 conclusions:2 equal:2 against:1 sensitive:1 became:1 figures:1 context:1 lo:5 σv:17 azimuthally:1 presumably:1 uniformity:1 cm:4 point:2 appeared:3 seems:1 each:13 pannel:4 height:1 dimensional:1 active:1 pole:4 fashion:1 simply:1 coordinates:5 cs:5 constant:3 throughout:15 smith:1 conference:1 decline:3 described:2 addition:1 west:3 three:3 been:2 attaching:1 pc:1 morphological:1 much:2 pg:1 interest:1 collected:1 ph:2 hardly:1 universal:4 empty:1 fig:16 dots:1 obtained:5 direction:1 describe:2 corresponding:7 gas:19 cambridge:1 spectrum:1 bulk:7 maps:2 understand:4 external:1 astron:3 evidence:1 present:2 applied:2 intriguing:2 traced:1 mhd:1 grains:1 solid:3 reliable:1 profiles:48 pixel:10 intimately:1 while:9 suppose:1 behavior:1 error:5 balance:1 region:13 unlikely:1 shortened:3 21cm:2 played:1 almost:2 averaging:1 non:5 surface:2 heating:2 ii:3 characterize:2 dual:1 vz:5 different:5 inc:1 baseline:3 approximatively:1 perhaps:1 suggest:3 make:1 bowl:1 same:11 member:1 another:1 html:1 cyan:4 none:1 several:3 events:1 difficult:2 independent:1 extended:4 columbia:2 peaks:3 olling:4 hunter:1 numerical:1 upon:1 effect:5 phd:2 v0:2 running:1 levels:1 moving:1 cleaning:1 spurious:1 dust:1 dissimilarity:1 tradition:1 vred:2 rupen:12 lower:7 task:1 off:3 center:6 database:1 makes:1 calibration:3 well:10 except:3 analysis:4 thought:1 patterns:1 edge:1 residuals:5 components:3 sets:2 position:1 model:9 verschuur:1 ferguson:8 distances:1 sec:34 just:2 among:1 being:2 sound:2 accurate:1 effects:1 sources:2 shape:9 turbulence:2 regardless:1 alternative:1 speed:2 previous:4 letting:1 polarization:1 polar:1 preprint:1 density:11 carilli:1 sky:1 fitting:6 apjs:1 source:4 spread:1 extends:1 location:2 samples:1 briggs:1 role:1 east:1 luminosity:1 divided:4 resolved:2 tests:3 around:2 easily:1 papers:1 dark:1 test:3 netherlands:1 grid:3 know:1 press:1 using:5 2nd:1 wings:2 mod:1 apj:13 falloff:1 necessary:2 like:2 shaped:1 signal:5 velocities:6 10km:1 shapes:13 flux:22 perley:1 steps:2 petric:1 arbitrary:1 invaluable:1 inter:4 qualitative:4 warping:1 www:3 because:4 functional:1 methods:1 explaining:1 shen:3 predominance:1 some:4 springer:1 jennifer:1 calculated:1 trends:2 suppl:1 sight:1 table:2 images:2 guillermo:1 process:1 infall:1 specific:1 concentric:1 scale:6 represent:3 l19:1 lead:1 overlay:1 broad:8 annu:1 measurements:6 per:3 probed:1 does:7 decomposition:1 assuming:1 greyscale:1 pattern:2 cnm:2 inclination:4 measuring:2 particular:1 noise:7 run:1 scientific:2 minimization:1 broadening:1 infinitely:2 equivalent:1 instabilities:1 notable:1 perpendicular:5 stellar:3 how:5 instability:1 plots:1 exciting:1 properties:2 chapter:1 comparison:3 about:4 central:10 would:9 bars:5 stations:1 column:7 freedom:1 http:3 arcmin:1 o:3 side:2 range:8 stand:1 aligning:1 gallagher:3 efforts:1 discusses:1 contours:12 seeing:1 contains:1 presence:1 previously:1 communication:1 into:6 within:5 interstellar:4 negative:1 down:1 square:5 references:1 determine:4 fisher:1 frames:2 proportional:1 imagr:2 physical:2 often:1 existed:1 van:12 l29:1 artifacts:1 extremely:1 there:5 spiral:9 edges:1 smoothing:2 dispersion:27 width:9 low:11 stars:7 ed:2 examination:1 analyze:2 sections:1 synthesis:1 function:8 tight:1 medium:4 gaseous:1 complete:1 form:1 latex:1 forming:1 atop:7 differences:2 but:7 sophisticated:1 astro:3 neutral:3 convolving:1 mnras:2 line:23 highest:7 true:2 subtracted:1 made:1 input:1 evident:2 whether:2 characteristic:1 gravitational:1 uv:2 variations:2 maximum:8 us:4 theoretical:1 below:1 limit:2 iterated:1 sum:1 distribution:15 balbus:3 similar:4 called:1 bandpass:1 detailed:4 ranges:6 taylor:1 associated:11 reconcile:1 certain:7 abstract:1 combining:1 vcirc:3 deep:1 general:5 single:18 right:8 gradients:1 moves:1 distributions:1 four:3 steeper:1 compared:3 nm:1 dotted:2 no:6 dashed:1 estimated:1 when:1 detail:1 ny:1 other:6 compares:1 holding:1 spatial:4 department:1 aips:6 poor:1 picture:2 star:19 exp:2 models:1 centered:1 june:1 bottom:2 variation:1 includes:1 deriving:1 generated:1 important:2 peak:15 coverage:1 hanson:2 astronomy:5 sides:1 structure:6 prepared:1 observers:1 stirred:1 correlated:3 implies:1 outskirts:2 algorithm:3 assume:2 values:1 v5:1 factors:1 curve:2 together:2 merrifield:1 nasa:1 mass:3 time:3 far:1 declination:1 cookbook:2 resolution:16 representative:1 |
0704.0280.txt |@word limited:1 magnetic:1 entropy:5 parameterization:1 calculate:1 presents:3 mwd:2 rise:2 reconstructions:1 figs:2 summarized:1 vastly:1 bringing:1 solution:2 shafter:1 bodenheimer:2 degeneracy:1 refsdal:2 estimates:3 pulse:6 empirical:1 approximation:3 bannister:1 second:13 qualitatively:1 estimated:1 even:6 established:2 selected:1 bipolar:1 above:13 new:2 net:2 consisting:1 pioneering:1 deemed:1 simultaneously:1 sinks:1 fernandes:1 equals:1 here:6 atoms:1 ionization:9 represented:1 contraction:1 leaves:1 procedure:1 suitable:1 discontinuous:1 highly:1 patience:1 remnant:20 opacities:1 total:18 unit:3 eorb:10 would:10 negative:4 m1:26 therefore:6 m3:1 m2:20 survive:1 type:3 brings:1 excellent:1 must:16 me:6 mc:2 work:3 eclipse:2 mk:1 theories:1 erg:1 temperatures:1 henry:1 my:1 example:5 triple:1 indicated:5 relativistic:2 indicates:1 degenerate:9 end:1 recovery:2 provide:1 feature:1 revisit:1 very:11 hot:2 significance:2 undesirable:1 undergoing:2 reconciled:1 after:2 demanding:1 stefano:1 diagram:9 modest:2 effective:1 recombination:14 green:1 enter:1 order:7 wind:12 over:3 truran:2 secondaries:6 burleigh:1 before:2 somewhere:1 fix:1 writing:1 production:1 compelling:1 fig:27 weeks:1 versus:1 donors:1 them:3 combination:1 penetration:1 effects:1 they:20 smoking:1 represents:2 den:1 oxygen:6 lucy:1 filling:2 reasonable:1 each:3 mean:1 independent:1 combining:1 substantially:1 driving:1 rs:5 gradient:1 urbana:2 content:4 re:2 rc:2 rl:3 ri:1 outburst:1 foundation:1 barrier:1 written:1 standard:1 formation:3 estimate:3 r1:8 days:2 incorporated:1 signature:1 daunting:1 features:1 primary:6 thick:1 similarly:1 heights:1 needed:1 intermediate:7 compromise:1 too:10 consistent:4 2af:1 urban:1 tool:1 2ai:1 weakly:1 somewhat:1 requisite:2 dredge:1 photospheric:1 reconstructing:1 unbinding:1 manner:1 final:4 relatively:4 convenient:1 latter:1 responsible:1 isolated:1 fitting:3 forces:1 blue:1 shall:1 replenished:1 involving:1 phase:37 episode:2 consumed:1 flow:1 principle:1 shadowed:1 notion:2 came:1 decidedly:1 planetary:9 attempts:2 solutions:5 latent:1 proposed:2 rich:2 adequate:1 do:1 dm:1 di:1 champaign:1 de:1 da:2 reversal:1 altogether:1 dv:1 reconstruct:1 hjellming:2 fields:1 release:1 presuming:1 reference:1 generally:2 observed:7 radius:17 result:1 subject:1 draws:1 rings:1 approach:1 discovery:1 accord:1 wd:2 terms:11 nature:1 confusion:1 weak:1 metal:1 extent:1 modeling:1 suggested:1 essentially:1 inspiraling:1 cup:1 presumably:3 excess:1 engulfs:1 height:1 wider:1 grazing:1 mathieu:1 proceeded:1 radiative:2 three:4 been:11 trigger:1 progenitor:4 expected:2 applied:1 affirm:1 nski:2 near:3 whelan:1 property:1 study:2 characterizing:1 concomitant:1 ii:1 il:1 conf:2 grown:2 containing:2 suggest:1 make:1 recurrent:5 intersecting:1 split:1 dimensionless:2 fairly:1 numerical:1 hand:2 cycle:1 ellipsoidal:1 contact:2 quantitative:1 anupama:1 left:6 just:1 identify:1 thanks:1 yet:1 succeeding:1 han:4 regarded:1 weiss:3 gave:1 survival:3 posed:3 possible:16 spanned:2 unique:1 oph:5 appearing:2 cooler:1 right:5 truncated:1 successfully:1 dense:3 companions:4 core:28 bold:3 pose:2 yorke:1 post:11 super:1 properties:4 o:4 plus:5 efforts:1 considerations:1 dilemma:2 bound:4 accommodate:1 lies:1 reducing:1 podsiadlowski:2 initial:44 nova:2 conservation:5 fraction:7 was:5 synthesis:1 form:3 soker:2 berg:1 solar:6 encoded:1 true:1 absent:1 maximum:1 mto:2 stages:1 adopt:1 hotter:1 proven:2 evidence:1 exist:1 accounting:1 distributions:2 constructed:1 marking:2 dotted:2 no:4 tip:1 nz:1 test:1 picture:2 models:9 preceding:2 dissipation:1 hyades:5 longer:1 coulomb:1 assume:1 interval:2 time:15 nuclei:2 ron:1 global:1 leads:1 grateful:1 morphology:1 certainly:1 zone:1 giuricin:1 environment:1 quasi:6 marks:2 circumstances:1 division:1 broadly:1 cataclysmic:2 cool:1 presented:1 gun:1 leave:1 upper:10 slower:1 porb:4 inconsequential:1 straddle:1 rappaport:3 appear:1 axes:2 remain:1 current:2 amounting:1 paradoxical:1 χeff:3 predicting:1 dwarf:32 groups:2 dissipated:2 appears:6 shift:3 v471:10 commonly:1 eri:1 λr1:2 studies:4 plotted:3 useful:2 problematic:3 merely:1 weigert:2 positive:3 tightly:3 theoretical:1 acceptable:1 apparent:1 envelope:137 virtue:1 cases:2 degenerately:1 rotational:2 labeled:8 values:10 following:5 making:2 detached:2 figure:2 significance:1 arise:1 confused:1 sample:2 allowed:2 unphysical:1 hydrogen:5 evidently:3 requirements:1 discussion:2 write:2 pure:2 parameter:5 product:2 may:6 produce:1 uint:11 data:2 grow:1 dynamical:5 st:1 rarified:1 typical:2 indeed:8 years:1 course:6 episodes:2 statistical:1 still:2 observational:2 derive:1 group:1 chandrasekhar:1 dwarfs:27 decreased:1 main:4 decades:1 non:6 processes:1 hamilton:1 half:2 gravities:1 nor:1 term:8 equality:1 microstructures:1 spectroscopically:1 ei:3 significantly:3 ee:5 ed:5 ef:2 approximated:1 ev:1 shown:6 factors:3 furthermore:4 increase:1 nominal:1 suggesting:1 shows:4 inevitably:1 earlier:4 reformulation:1 theory:1 portegies:2 possibility:4 treatments:1 remainder:1 e2:1 transition:1 initiate:2 place:2 massive:15 neglect:1 first:18 omitted:1 variables:2 simplified:1 specifically:1 directly:1 impossible:1 open:2 angular:26 size:1 little:3 necessarily:1 cooling:3 realization:1 iau:1 white:57 structures:1 speaking:1 schwarzschild:1 proga:1 released:3 than:16 population:2 magnesium:1 outcome:3 pre:2 eggleton:7 san:2 dynamically:1 dash:1 say:1 buried:1 recover:1 any:11 mapping:1 efficient:3 downwards:2 note:1 ideal:1 potential:4 take:2 interior:3 primaries:3 multiple:1 falls:1 cassatella:1 especially:1 surprising:1 fills:1 dordrecht:1 gk0:2 average:1 later:1 drive:2 typically:9 show:1 zwart:2 threshold:2 slow:4 ratio:11 histories:1 only:12 explicitly:2 get:1 straggler:1 soon:1 cannot:3 nearly:4 neither:1 secondary:2 median:2 yield:2 summary:1 mapped:2 physically:3 relative:2 ignores:1 invoked:1 dk2:1 ways:1 review:1 definite:1 energetics:8 enough:2 between:12 across:1 kool:1 jr:3 continuously:1 ji:3 jets:1 virial:5 jf:3 many:1 region:2 called:1 tout:9 expression:1 sweigart:1 comes:2 among:10 pols:2 reprocessed:1 jeans:1 period:23 buoyancy:1 capable:3 deposited:1 combined:1 stripped:1 anomalously:1 exhaustion:2 differently:1 formed:4 photon:1 6q:1 diffuse:1 those:12 case:2 ignition:4 discrepancy:1 middle:1 helium:31 binary:43 different:1 develop:1 author:1 formulations:1 same:2 arguments:6 physical:3 status:1 extended:2 assist:1 drives:2 companion:11 driven:1 changing:1 validate:1 roughly:1 severe:1 without:2 components:9 termination:1 model:4 binaries:31 semimajor:4 when:5 neon:1 yungelson:2 widest:1 treatment:2 engulfed:1 momentum:23 real:1 amd:1 using:4 amu:1 vertically:1 particle:4 reduces:1 facing:6 either:2 downward:1 reidel:1 orio:1 kolb:2 duration:1 ascent:1 provided:2 paczynski:3 symbiotic:1 conservative:13 critical:2 exit:1 provides:1 moderate:1 refer:3 paczy:1 evolve:2 ratios:3 accommodated:1 comparison:1 aca:1 central:1 origins:1 discussed:1 bond:3 cambridge:1 burning:11 inclusion:3 communication:1 variable:1 references:2 heated:1 speculated:1 wade:1 log:4 assumed:6 strictly:1 there:4 strict:1 detectable:2 low:14 stars:30 complete:2 osterbrock:1 survived:1 mnras:8 dissipative:1 faster:1 applying:1 embedded:1 wholesale:1 ωe:6 strongly:4 af:7 conundrum:1 aj:4 am:1 deep:1 willson:2 ay:1 fill:1 again:1 hybrid:1 terminating:1 spatial:1 contemporaries:1 gaining:1 polar:1 separate:1 important:1 nucleus:1 peak:1 included:2 unbind:1 curve:3 mass:144 nelson:3 renzini:1 cores:5 redux:13 resolution:1 original:2 represent:1 consider:1 systemic:7 invariably:1 follow:1 research:1 filled:2 far:1 iue:1 ostriker:1 difference:2 treating:1 large:8 small:7 ritter:1 go:1 rate:1 pasp:2 further:1 subscripts:1 tcool:1 brien:3 brackets:1 contrast:3 condensed:1 component:12 hours:1 relaxation:1 strong:2 equations:1 losses:10 exceptionally:2 experience:1 prior:11 followed:2 family:1 first:3 analyzing:1 smak:1 recurrence:1 conventional:1 comparing:1 entails:1 minor:1 more:17 emission:1 initiates:3 surface:3 known:7 kenyon:2 presumed:2 cluster:4 science:1 equation:1 debated:1 evolved:4 spontaneous:1 history:2 neglected:3 vauclair:2 states:4 sense:1 axis:2 huge:1 rather:1 e2f:1 e2i:1 simplicity:1 derived:2 orbits:1 sophistication:1 fe:1 short:11 m67:1 spectra:1 negligible:2 remnants:17 reservoir:2 reversing:1 ejecta:1 mixing:3 thermal:19 paper:1 through:12 existence:7 kinetic:5 its:31 dobrzycka:1 energies:7 inward:1 late:4 resort:1 absence:1 systems:17 convective:2 might:5 good:1 number:2 cet:1 yr:1 49q:1 easily:1 loosely:1 2a:1 αce:24 found:4 energetically:4 heavy:1 reactions:1 formulate:1 energy:85 mm3:1 expect:1 beyond:4 event:2 dominates:1 since:4 adhere:1 dominated:1 induced:1 issue:1 occurs:5 wellstudied:1 asp:2 inert:1 ast:1 favored:1 reason:1 base:2 imagine:1 politano:1 consequence:3 undergo:2 major:1 rooted:1 reflected:3 preservation:1 utilized:1 done:1 neglects:1 temperature:2 introduction:1 leading:3 lejeune:1 least:2 assumption:1 calculations:2 observations:1 trapped:1 immediate:2 optical:1 favorable:1 accretors:2 tutukov:1 double:19 determined:2 algol:6 toward:2 interactive:1 binarity:1 selvelli:1 novae:3 iben:2 lie:2 zero:1 onset:10 majority:1 internal:5 build:1 analogy:1 finding:1 donor:20 play:1 added:2 busby:1 depths:1 most:13 significant:3 nothing:1 extremely:2 equatorial:1 loopholes:1 clear:2 part:1 phenomenon:1 converge:1 relation:1 find:3 completion:1 giant:18 parameters:1 colloq:1 failed:1 factor:1 merged:1 giants:4 dominant:1 gains:1 dependent:2 niarchos:1 famous:1 longest:1 closely:1 during:11 fekel:2 willems:1 arxiv:1 remove:1 crb:6 garcia:1 difficulties:1 common:108 obscure:1 subdwarfs:1 set:2 ser:2 seq:2 lifetimes:1 plausible:5 ara:2 see:9 individual:1 descriptions:1 close:21 arm:1 various:1 envelopes:15 probably:1 conditions:1 available:7 recently:4 statistically:1 missing:3 spectroscopic:4 vanishing:1 rapid:4 interface:2 both:9 prescription:1 reverse:1 influential:1 sensitive:1 context:2 arbitrarily:1 point:4 simple:5 dimensional:1 simply:1 along:3 pr:3 pp:5 described:2 rasio:1 whom:1 pg:3 ph:1 deduced:4 firm:1 sanders:1 gas:6 else:2 circularized:1 demand:3 solid:2 budget:6 while:4 error:1 vol:2 binding:2 apjs:2 itself:3 owes:1 carbon:5 hydrostatic:1 seem:2 grant:1 shorter:2 stimulated:1 virtually:1 ray:1 composition:4 higher:2 used:1 unlabeled:1 recent:2 lower:10 analysis:1 consistency:3 parametric:1 parametrically:1 λp:5 resolves:1 alternative:1 dissociation:2 conclusions:2 source:4 location:1 theorem:2 input:4 showing:1 follows:1 adiabatic:1 consensus:1 unstable:1 howell:1 hallmark:1 creation:1 some:6 understood:1 trends:1 infall:1 scale:18 exceeding:1 per:4 efficiencies:2 inclination:1 bd:1 intial:1 interpretative:1 tidal:4 constrains:1 page:6 mikolajewska:2 range:4 therein:1 differences:1 into:7 within:6 integral:1 locus:1 appropriate:2 clustering:1 uncertainties:1 statistics:1 span:1 gases:1 conceivable:1 opens:1 fragmented:2 repeatedly:1 sdb:3 aql:1 line:5 subgiant:1 up:1 us:2 ur:8 ue:2 ug:7 similar:2 calculated:1 constant:5 defined:1 likewise:1 single:6 formalism:1 paradox:3 amounts:1 dashed:2 application:1 department:1 revision:1 elements:1 energetic:3 excitation:2 allowing:1 structure:4 implies:4 age:5 required:3 orbit:6 fresh:1 requires:4 having:2 code:2 illustrates:1 illustrated:4 pulsing:3 broader:1 winds:1 gm:3 webbink:19 contributions:3 compact:4 simon:2 leung:1 stable:1 breach:1 include:1 g5:1 g4:1 implicitly:1 electron:1 implausible:1 radii:10 maxted:2 noted:2 sandquist:2 smaller:4 zi:1 progenitors:5 notwithstanding:3 consistently:1 abell:1 justification:1 led:2 degree:1 exchange:1 respectively:2 youngest:1 desired:1 objects:1 separation:6 extreme:5 great:1 larger:3 leaving:1 products:4 principally:1 gene:1 formulated:1 scales:3 apr:1 photometric:1 private:1 outcomes:4 apj:26 gordon:1 decrease:1 confidence:1 asymptotic:8 usa:1 remains:1 next:1 calculation:1 examination:2 turnoff:2 formally:1 becomes:4 eccentricity:1 iii:3 burkert:1 high:4 account:4 integrating:1 challenge:2 tau:10 tap:4 process:6 thermally:4 loci:1 escaped:3 effectively:1 occur:1 regions:4 located:1 instead:2 circular:2 ronald:13 demonstrating:1 efficiently:1 realized:1 introduced:1 light:1 lines:10 correspond:3 inspiral:4 lined:1 nelemans:11 ignite:1 evolutionary:11 produces:1 doubtful:1 produced:3 including:1 effect:1 ln:1 temporal:1 flawed:1 primordial:1 marsh:1 choose:1 junction:1 outlined:6 material:3 asymmetrical:1 profound:1 university:2 lowmass:1 morris:2 magnitude:3 mode:1 rising:1 upward:1 doing:1 verbunt:3 sion:1 our:1 morton:1 fundamentally:2 suffices:1 red:3 york:1 shortest:1 interaction:2 determining:1 could:2 m22:1 times:2 explored:2 retain:1 unphysically:1 primordially:1 long:7 nebulae:5 start:1 system:7 roche:18 their:29 accretion:3 final:18 shell:7 liller:1 limiting:1 providing:1 superwind:3 separations:7 kastner:1 need:2 constrained:2 clearly:2 able:2 gravity:1 mechanism:1 photosphere:1 so:8 accuracy:1 allow:1 who:1 connected:1 eject:1 face:1 belczy:1 snapshot:1 fact:6 atmosphere:1 selection:1 absorbing:1 supported:1 debate:1 should:2 terminal:5 molecules:1 inhabit:1 equilibrium:3 means:2 lobe:18 familiar:2 interpreted:1 evolution:69 densities:2 luminosity:2 fixes:3 contain:2 fixed:2 gibson:1 gravitational:7 view:1 computed:3 exists:1 national:1 enhanced:1 closer:1 phases:4 interacting:4 nondegenerate:3 nuclear:13 nebula:4 state:5 difficulties:2 boundary:3 outbursting:1 comparable:2 ability:1 importance:1 however:10 efficiency:5 hypothesis:2 distribution:4 observable:1 mardirossian:1 limits:3 taking:1 equal:2 fulfilled:1 etc:1 figures:1 masses:22 detailed:3 cf:1 sequences:1 cv:1 powered:2 addition:2 ai:9 outflow:1 treat:1 define:2 m1c:18 arises:1 corresponding:6 overwhelmingly:1 bulk:2 last:1 general:3 present:6 ejection:15 cvs:6 value:2 will:3 vc:1 almost:3 thus:5 encouragement:1 conserve:1 orbital:60 perhaps:1 began:2 radiation:5 member:2 unity:1 parts:1 difficult:1 lebreton:1 conceived:1 upon:2 effect:2 αth:1 center:3 acknowledgement:1 nevertheless:2 well:9 accreting:1 usual:2 mitton:1 less:5 obtain:2 sources:5 momenta:2 now:8 density:6 taam:9 unprecedented:1 tests:1 livio:4 increased:1 putative:3 milone:1 gilmozzi:1 denser:1 immediately:2 loss:17 like:1 lost:8 roth:2 lose:2 become:2 gm1:4 soft:1 preclude:1 accessible:1 exceed:4 because:3 classical:2 sequence:6 growth:2 finite:2 fill:1 sufficiently:1 broad:1 avoid:2 overlap:1 does:2 assuming:4 polytropes:1 limitations:1 expansion:7 stellar:14 pressure:4 inherently:1 although:1 entirely:1 stage:1 sister:1 hurley:4 constraints:3 µmh:1 previously:1 parameterizing:1 demonstrably:1 van:1 greggio:1 pc:3 transfer:49 spiral:1 much:13 inner:1 function:5 but:22 astro:1 gain:2 kraft:3 hd:2 he:4 evident:3 whether:2 cells:1 below:3 limit:10 problem:3 inadequate:1 myr:1 balmer:1 lobes:1 periods:3 compared:4 detail:1 illinois:2 other:4 details:1 branch:15 conclusion:1 francisco:2 star:28 inescapable:1 variation:1 metallicity:5 astronomy:1 ejecting:2 persistent:1 eclipsing:6 |
0704.0282.txt |@word code:20 consider:4 global:1 results:3 four:1 known:1 generalize:2 computation:7 consists:2 devoted:1 whose:2 departing:1 ts:1 quasi:4 include:1 sent:1 activities:1 belonging:2 confirmation:1 worse:1 very:2 choice:2 every:1 sensitivity:1 affect:1 matrices:11 entire:1 presented:1 transmission:2 issue:3 solution:1 large:2 vector:1 excellence:1 div:5 shows:2 deleting:1 commented:1 pragmatic:12 mceliece:1 approximation:3 rate:29 design:2 value:9 further:1 even:3 employ:1 spacetime:1 stands:1 section:1 decoding:10 ˆb:2 fifth:1 designing:1 leib:1 new:1 increasing:2 method:1 coefficient:1 supporting:1 full:1 simultaneously:1 behavior:1 degree:6 component:3 here:1 behaviour:1 address:2 path:7 november:2 δωa:1 change:2 obtained:10 search:3 generalizing:1 increments:9 survivor:7 suitably:1 larger:2 conti:3 approaches:1 implement:2 changes:1 composed:1 named:1 via:1 family:2 apr:1 explained:1 outcomes:1 addressed:3 achievable:1 use:12 would:2 prove:1 contains:1 next:2 comparing:1 call:1 therefore:3 vi:1 type:11 more:9 convolutional:14 becomes:1 envelope:1 carrying:3 labelled:1 varying:1 antennas:15 iii:1 must:4 high:3 keeping:1 join:1 ml:4 work:2 labeled:2 values:2 columns:3 following:4 trans:1 example:7 sligthly:2 give:3 allowed:2 conjecture:1 chung:1 states:1 want:1 arise:1 onclusions:1 information:11 instant:1 get:1 how:2 criterion:1 fourth:1 instead:2 parameter:5 blocks:3 modulation:6 after:1 diagram:6 applications:1 snr:1 coming:1 minimizes:1 data:1 parallel:2 constants:1 short:1 third:6 st:1 generic:3 complexity:2 negligible:1 fundamental:1 decreasing:2 trellis:19 putting:1 bpsk:5 operations:2 words:1 over:6 satisfied:1 symbols:14 held:1 paper:4 still:3 ieee:8 its:1 before:3 derive:1 rapidly:1 thumb:1 acknowledge:1 ln:1 actually:1 better:2 according:1 fig:13 mail:1 good:8 propose:2 effects:1 now:2 easily:5 transmitter:1 name:2 always:1 university:1 jeong:1 transmitted:3 luca:1 reasonable:1 each:15 found:1 2n:2 higher:2 side:1 mean:1 significantly:1 weight:2 there:1 related:1 used:8 static:4 remove:1 our:6 approximated:14 transitions:14 eq:1 es:11 out:1 try:1 shown:5 matrix:9 space:11 since:7 interference:2 research:1 may:2 hwang:1 performs:1 adaptive:1 receiving:4 evaluation:1 processed:1 theory:4 reason:1 put:1 org:1 estimate:1 wanted:1 likelihood:1 mimo:1 interaction:1 determining:1 could:2 transition:21 saragat:1 length:1 levels:1 ecoding:1 exponentially:1 first:6 singleton:1 already:3 ntroduction:1 probability:1 coding:4 number:14 channels:1 simplified:2 approximately:1 another:2 carry:1 given:2 introduction:1 unknown:2 system:1 adopted:2 compatibility:1 indicate:1 zeros:9 types:1 rates:2 scheme:4 bits:24 final:1 recovered:1 too:1 relationship:4 part:1 authors:2 umerical:1 than:6 coefficients:1 distance:1 stc:21 sections:1 require:1 second:11 punctured:8 function:2 well:1 unchanged:1 generalization:3 increment:7 fading:11 paths:2 zero:2 min:5 general:1 latter:2 able:2 note:1 build:2 finding:1 performance:17 channel:12 spectral:1 multiple:1 allow:3 though:1 any:1 endif:1 reach:1 metrics:15 optimized:1 codeword:3 seshadri:1 mitigate:1 especially:1 considered:1 performances:1 adopt:1 proceedings:1 chiani:3 subsequent:1 ferrara:2 sum:1 erasing:1 show:4 indoor:1 degrades:1 tarokh:1 radio:1 find:2 decade:1 bfc:4 seung:1 parameters:4 written:1 should:3 jan:1 being:1 only:10 generators:1 pointed:1 achieve:6 do:3 his:1 means:1 overall:1 cannot:3 aforementioned:1 international:1 conjunction:1 runs:1 arxiv:1 2b2:8 2b1:8 acknowledgments:1 investigate:1 common:1 fixed:1 satisfy:1 computed:6 achieved:3 frame:1 up:2 see:2 result:1 arg:1 discussions:1 optimum:4 best:6 gmail:1 exploited:3 puncturing:8 pattern:7 label:2 case:16 state:6 between:8 αi:4 approach:12 untrustworthy:1 preserve:2 multiplied:1 terms:1 extend:1 initially:1 however:5 efficiency:1 hypothesis:1 distinguish:1 improve:2 concentrated:1 both:4 last:6 sacrificing:1 limits:1 equal:2 conference:2 personal:1 context:1 com:1 ci:4 relevant:1 cn:1 simple:3 period:2 exploit:3 sequences:1 cs:1 respect:1 trust:1 considers:1 erased:5 qpsk:2 pp:4 due:1 been:6 much:1 basic:5 expected:1 choose:2 corresponding:3 received:9 c2:2 c1:4 andrea:1 former:2 those:1 p2:12 p1:1 evaluated:1 will:15 optimization:1 evaluating:1 error:2 situation:1 balance:1 guide:1 hoon:1 vol:5 allows:2 metric:45 iv:2 ii:9 capture:1 different:18 italy:1 anymore:1 author:1 perform:2 suggest:2 same:9 clearly:1 complex:2 split:6 several:1 grows:1 difficult:1 independent:1 experimented:1 investigated:2 effect:3 hand:1 compared:1 uses:1 task:1 expression:1 viterbi:14 patterns:9 without:2 components:4 mother:6 position:2 left:14 construct:1 exploits:2 calderbank:1 proposed:1 transmitting:13 obtain:3 stored:1 previous:2 had:1 eferences:1 input:1 vii:1 march:2 around:1 rules:1 devised:1 couple:1 possible:3 increases:5 know:1 using:10 bit:5 helpful:1 like:2 follows:2 signal:1 earch:1 communications:4 steps:1 lose:1 page:2 right:13 sequence:3 b1:1 b2:3 table:4 proper:2 provided:1 icc:1 avoid:1 transactions:3 per:2 telecommunications:1 does:1 prof:1 refer:4 considering:4 european:1 seconds:1 conventional:1 step:3 super:5 periodically:1 column:3 discussed:1 compatible:4 carries:4 done:2 introduced:2 sept:1 block:13 computes:1 communication:1 into:5 within:1 bound:2 soo:1 three:5 appropriate:2 because:2 ηs:1 rows:1 additional:2 placing:1 stark:1 decode:1 low:1 way:6 fer:1 was:3 hz:1 erases:1 wireless:3 construction:2 gain:2 decoder:15 unreliable:1 observation:1 volume:3 made:1 compute:6 evident:1 inside:1 maximum:6 mobile:1 limit:1 ωa:8 problem:3 ωb:9 similar:3 called:1 vahid:1 proved:2 abstract:1 describe:1 chan:1 denote:1 single:3 simulations:2 diversity:12 ing:1 again:1 codes:26 nl:2 antenna:3 no:2 whereas:2 when:5 nam:1 other:2 coded:18 branch:1 nr:2 symbol:6 uniformly:1 ntot:2 puncture:1 included:1 structure:1 network:1 building:1 algorithm:8 assume:1 starting:1 rs:12 rule:2 weights:2 time:30 requires:1 having:1 once:1 |
0704.0283.txt |@word gw:5 represent:2 gs:2 consider:6 remarkable:2 alg:2 keep:1 results:5 invent:2 gx:8 four:1 roy:1 scalar:2 proposition:51 grateful:1 edu:1 consists:2 gn:3 expressions:2 reasoning:1 maxx:2 whose:4 compose:1 chain:2 combinatorial:1 graph:6 concerned:1 equivalence:10 tr:37 ts:5 preprint:1 recurrence:1 neighbours:4 according:3 weyl:2 tk:10 th:3 under:5 connecting:1 analogous:5 include:1 presentation:2 applied:1 operation:1 preserved:1 than:1 rise:2 induce:1 corollary:11 explanation:1 every:2 orientations:1 cellular:5 bounding:1 exact:1 condition:7 partitions:1 indicate:1 unlike:1 immediately:2 bn:14 suffices:1 t1:1 bxi:1 wss:2 vector:3 quick:1 markov:46 referred:1 inspection:1 homomorphism:2 braid:1 inserting:1 direct:4 tex:1 zero:5 value:4 follow:1 rigorous:1 writing:2 reine:1 odd:3 zs:2 even:3 aim:1 what:2 appear:1 invertible:2 d2:7 sum:2 bergman:2 agrees:1 cell:12 version:3 above:10 dieck:6 change:1 consisting:5 funtion:1 coefficient:4 give:4 degree:11 respectively:13 b2s:1 here:4 agreement:1 evident:3 test:1 possibility:2 groups:18 consideration:1 antiautomorphism:2 bk:4 appears:1 z2:2 box:18 ekn:1 remark:10 hbn:2 arc:1 oxford:2 involved:1 studied:2 contradiction:1 leaving:2 products:2 loop:14 δqr:2 tw:11 usually:1 symmetrical:2 suitable:2 makes:2 tt:1 quotient:6 uniquely:3 via:1 projection:1 family:2 extra:2 apr:1 marked:8 assertion:11 scaled:1 decrease:1 apply:1 curve:20 clockwise:3 topics:1 readily:1 use:5 additive:1 takes:4 usa:1 prove:5 remains:3 positive:4 contains:3 humphreys:1 uniqueness:2 next:3 linear:11 call:2 bz:6 taken:1 themselves:1 type:38 tell:1 diagrams:20 more:4 fractions:4 kinokuniya:1 diamond:2 multiplying:1 clearly:1 factor:1 s3:4 labelled:19 particular:4 known:6 δd2:1 cases:4 hold:1 iii:25 circle:1 must:7 fan:4 endpoint:1 ser:1 tokyo:1 pursue:2 recall:6 originally:2 work:4 london:1 easier:1 paragraph:1 obvious:3 following:13 closing:1 bipartite:2 root:1 example:9 proof:41 claim:2 compare:1 coincident:1 figure:29 stated:1 calculation:1 purposes:5 generically:3 tabular:6 vx:1 assumptions:1 degenerate:1 sense:10 rescaling:2 conversely:1 occur:1 simple:1 sir:1 end:1 turn:2 rather:1 s2:4 discussion:1 holds:5 enn:1 s4:4 write:8 how:7 reducible:1 adjacent:7 instead:1 parameter:7 specializations:1 classify:1 map:12 product:8 description:2 algebra:38 may:15 max:3 bkn:1 after:2 different:1 diagram:46 applications:5 produce:3 multiplication:8 representations:3 summarize:1 data:1 compatibility:1 types:5 efficiently:1 si2:1 si1:1 transitive:1 natural:4 imply:1 sets:2 whenever:2 lemmas:2 δbz:1 sw:3 correspond:2 element:27 diffeomorphism:2 provide:1 si:1 maintain:3 green:25 sn:1 allow:1 definitions:5 order:5 restriction:3 s0:4 produces:2 tts:1 over:7 move:1 choose:2 produced:2 paper:6 through:1 looks:1 statistical:1 lattices:1 mentioned:1 existence:2 satisfies:3 still:1 its:5 τn:37 regions:11 group:9 maps:3 ln:2 fix:1 coxeter:30 lk:52 τa:6 better:1 parts:3 lr:6 systems:1 constitutes:1 mail:1 tst:1 main:2 defining:4 into:4 semisimple:2 s1:3 maximal:2 them:2 fuller:1 pure:3 thereby:1 efficient:1 material:1 indexing:1 regarding:2 introduce:1 framework:1 yz:1 they:8 producing:1 ys:1 now:12 easily:3 inversion:1 tensoring:1 t8:1 temperley:29 2k:3 fully:6 university:4 classified:1 establishing:1 sufficiently:1 loss:1 component:3 each:24 found:1 2n:8 traces:28 side:1 characterized:1 mean:3 subset:6 domain:1 en:136 cyclotomic:2 ιn:4 series:4 hard:1 related:4 b3n:1 used:4 amsterdam:1 loops:3 our:7 happen:2 partial:3 special:2 out:1 large:1 shown:13 matrix:4 space:8 restricted:4 furthermore:4 since:13 induces:3 content:7 obstructions:1 contained:2 multiply:2 ra:1 reader:1 denoted:1 induced:2 induction:2 occurs:2 math:14 shows:22 exactly:1 theory:3 stembridge:1 contain:1 free:2 standard:12 quart:1 base:1 complicated:1 corrects:1 usual:1 put:1 checked:1 e7:2 e6:2 inductive:5 definition:51 pairs:2 tangles:1 r2:2 created:1 rule:4 similarly:3 nonnegative:6 introduction:1 length:1 plane:1 ats:1 removing:2 consequence:1 first:8 xi:12 reflexive:1 martin:3 bijection:3 radical:4 conjugacy:1 thesis:1 number:1 rank:2 nested:1 restrict:1 fits:1 xy:3 done:1 least:3 another:3 changing:1 xs:1 ring:8 precisely:7 size:2 passes:2 given:14 necessarily:1 embeddings:5 asymptotic:1 their:2 zτ:3 leading:2 top:1 indeterminate:1 system:1 relations:10 needed:2 assumption:1 constants:1 statement:7 tom:6 ranging:1 gives:3 zy:1 lehrer:1 sz:1 recursively:1 convention:2 proving:1 sy:1 immediate:9 required:2 part:18 authors:1 x2:2 translation:1 x1:2 pne:10 completes:4 coefficients:2 finitely:1 kind:1 determines:2 holland:1 showed:2 require:1 acknowledgement:1 see:10 summands:2 deg:19 tackled:1 seamlessly:1 denominators:1 powers:1 distinguished:1 w2:7 kazhdan:9 shifted:1 false:1 close:2 lines:1 unchanged:3 ram:2 mind:1 argument:6 curves:10 already:1 say:5 angew:1 further:2 need:9 seen:1 st:2 any:18 lie:3 generalizes:1 depending:1 check:5 studying:1 latter:2 note:12 ideal:3 edge:4 square:1 generalized:12 indexed:1 so:13 coincide:1 canonical:3 completed:1 anticlockwise:4 calculus:7 sequel:1 multiple:1 trace:106 shall:2 who:1 sequence:1 extending:1 satisfying:3 connected:14 automorphism:1 representation:8 remarks:2 class:4 twosided:1 laurent:2 observation:5 clear:5 later:1 coincides:3 vertices:6 typeset:1 graphs:1 points:13 principle:1 left:13 notion:2 fact:13 reserve:1 transversely:1 particularly:2 phenomenon:1 show:16 spaces:1 relation:15 pke:1 conclusion:2 determined:3 trivial:1 find:3 d1:8 copy:3 title:1 explain:2 noteworthy:1 written:1 topological:10 short:1 examples:2 lemma:21 only:9 bases:2 generators:16 ambiguity:1 equipped:2 parabolic:2 constant:3 axiom:1 boulder:1 do:6 assignment:1 seifert:3 intersect:1 notation:7 means:6 dependent:1 combin:1 routine:1 satisfied:1 longest:1 words:2 new:5 during:1 closure:1 runs:1 embedded:3 approach:1 arxiv:1 fixes:1 remove:2 method:1 qa:2 circuits:1 investigate:1 discs:1 exercise:1 mapped:1 qi:7 shi:1 homeomorphic:1 fixed:2 requirement:1 set:45 computed:1 exists:4 unions:3 module:1 relative:1 differs:1 namely:1 individual:1 w3:1 rmg:1 w1:4 terms:2 euclid:1 drawing:1 alternative:1 subject:1 said:3 commutation:1 nondegenerate:9 clearing:1 rings:1 representatives:2 label:3 symmetric:1 state:1 classes:2 closed:18 between:3 invariant:4 boundary:5 conditions:6 glasgow:1 nothing:1 notice:1 wc:41 hecke:21 extend:3 adding:1 importance:1 wn:3 complement:1 attention:1 wk:1 however:4 wi:9 ws:1 algebraic:2 s5:4 outer:1 amer:2 come:1 regular:1 topology:1 both:4 essentially:1 last:1 reverse:1 limits:1 modular:1 many:1 taking:2 relabel:2 equal:1 called:7 chosen:1 figures:2 lusztig:11 embedding:6 hypothesis:2 passing:1 expression:2 comes:5 otherwise:7 aa:1 diffeomorphisms:3 affine:3 co:1 point:26 reasons:2 evaluate:2 dimensional:1 cy:1 cx:10 anti:1 disjointness:2 polynomial:4 proved:6 cp:3 cw:2 cv:4 cu:1 ct:15 specializing:1 destroyed:1 pp:1 commutative:8 second:2 basis:26 union:1 px:2 locally:2 due:2 been:3 implicit:2 underlying:1 reduction:5 combined:1 kronecker:1 applying:6 ph:1 algebras:55 meeting:2 ann:1 empty:3 define:19 obtained:9 generating:2 arises:2 corresponding:14 sending:2 scalars:4 linearity:1 propositions:3 gap:1 observe:1 representative:2 tsw:1 constructing:1 c2:2 general:1 those:3 case:28 replaces:1 splits:1 subsets:1 invariants:1 straight:1 iwahori:2 evaluated:2 rectangular:1 will:26 suppose:9 evaluating:1 freely:1 situation:3 property:10 region:3 procedure:1 correspondence:1 planar:3 orientation:8 epimorphism:1 thus:10 non:3 iv:6 ii:34 disjoint:3 im:1 cone:3 exterior:2 claimed:2 endpoints:4 result:7 binary:1 containing:6 recover:1 descent:1 author:3 commuting:4 make:1 belong:1 problems:2 same:8 proceeds:1 complex:2 established:1 largest:2 helpful:1 finite:5 subalgebra:6 composition:1 cs:2 difficult:1 disc:2 fairly:1 extended:1 percolation:2 lambropoulou:4 effect:1 hand:3 colouring:1 characters:1 infinite:3 frequently:1 cr:3 identity:1 recent:1 numbered:1 fourier:1 reflection:1 immaterial:1 studies:1 min:1 well:6 pillar:13 inherit:1 brauer:3 concrete:10 dn:1 without:2 components:7 convenient:2 claims:1 genuinely:2 arising:3 dimension:4 subgroup:2 spherical:1 λw:9 graded:2 just:2 monomial:9 generally:1 pnb:2 numbering:1 obtain:2 assigned:1 should:1 λa:4 diagrammatic:2 identify:1 transforms:1 using:10 facts:1 λj:1 λi:2 previous:1 adv:2 oriented:10 vτ:2 classification:1 generator:3 application:5 regarded:4 seems:1 except:2 pillars:3 lattice:1 setting:1 extends:1 lett:1 sydney:1 theorem:31 mod:17 hypergroups:1 match:1 depends:1 represents:1 involutions:1 subfield:2 possible:4 early:1 interior:6 boxes:2 know:1 knot:5 press:3 integer:15 ams:1 unique:23 occurring:1 vertically:1 appearing:1 like:1 arcs:2 identifying:4 follows:26 reduces:2 δs:1 δp:2 yields:1 either:4 always:3 simply:1 tower:8 works:1 reduced:14 terminology:1 assertions:1 formulae:1 because:9 deal:2 people:1 sends:2 δbs:1 some:21 b4:2 b5:1 b6:2 added:1 b0:4 b1:2 b2:1 respect:3 unless:2 proofs:1 repeated:2 happens:1 lead:1 grading:1 comments:1 does:5 exit:1 bridges:1 summand:3 esn:1 propagating:4 proc:2 bd:1 replaced:1 gomi:3 ba:2 power:6 retains:1 equivalent:4 arbitrary:2 notable:1 bi:15 expansion:1 representable:1 bt:16 bw:34 although:5 bs:35 drawn:1 therefore:2 bx:13 properties:3 injective:2 quotients:4 integers:3 about:1 central:1 would:1 extension:2 most:2 completing:1 factors:1 compatible:3 distinct:3 involving:1 ensure:1 2j:2 a5:1 introduced:3 consequently:1 invert:1 automatically:1 lieb:29 homogeneous:2 soc:3 cambridge:2 colorado:2 image:3 within:1 integral:1 three:1 pair:3 appropriate:3 right:11 references:4 determine:1 elementary:1 actually:1 realisation:1 hinted:1 transfer:2 strictly:1 there:33 question:2 fast:1 start:1 appl:3 way:11 labelling:1 sections:1 naturally:1 function:11 north:1 complete:4 form:8 enough:1 concatenated:1 hq:4 denoting:1 but:10 placing:1 hh:2 construction:3 link:1 delta:1 isotopic:1 line:2 removed:1 true:1 count:1 δbi:1 compute:6 consist:1 versions:1 whether:3 pn:5 cells:22 smooth:6 up:3 us:4 theoretical:1 below:1 limit:3 grothendieck:1 problem:2 similar:4 agree:4 recalling:1 mechanics:1 ab:3 associated:6 computing:1 defined:17 certain:4 abstract:1 specified:1 am:2 graphical:2 denote:11 modify:1 single:5 proves:1 exist:3 cbw:1 aw:4 formulation:1 formalism:1 graham:6 campus:1 constructed:1 vertical:1 again:2 functions:1 faithful:3 no:6 fixing:1 nonrecursive:3 when:2 detail:1 field:9 other:17 details:3 papers:1 department:1 mathematics:2 pfeiffer:1 yx:1 associative:1 nonzero:3 elements:31 star:1 expressible:1 sided:16 vertex:2 ultimately:1 polynomials:6 includes:2 generated:2 important:4 bounded:2 geck:3 decorated:1 finding:1 structure:9 jones:15 independently:1 implies:3 longer:1 assume:5 values:11 unital:3 modules:1 orbit:1 together:6 having:2 res:1 strings:1 once:1 |
0704.0284.txt |@word myung:1 consider:1 particular:1 desirable:1 results:6 hubeny:2 four:5 scalar:5 generalize:1 computation:1 edu:1 cot2:1 expressions:1 cases:4 gr:8 depend:1 calculate:2 tw:1 quasi:3 does:1 th:24 nollert:2 analogous:1 include:1 divergent:2 sound:1 g4:11 string:1 straightforward:1 very:1 frequencies:14 wave:3 witten:2 cardoso:1 difference:1 condition:3 level:1 damped:1 leave:1 discrete:1 vector:1 relation:1 originally:1 related:1 inconsistent:1 application:2 eiz:2 oscillation:1 consistent:2 sin2:2 sin3:1 sign:2 second:9 further:3 cft:7 odd:1 substitute:1 even:4 trivial:1 sum:1 dr2:1 brief:1 expressed:3 brink:1 poles:2 above:4 3l:17 method:2 coefficient:1 respectively:3 spacing:1 here:6 believed:1 cos2:2 irrespective:1 ratio:1 quite:1 equations:3 z1:23 z2:20 obtained:3 tortoise:1 study:5 vibrating:1 commonly:1 noncritical:1 suggests:1 yoshida:1 pick:1 makes:1 taipei:1 formulated:1 padmanabhan:1 classification:2 extra:1 apr:1 maldacena:1 durham:2 lima:2 ishibashi:4 linearly:2 eiωt:1 use:2 charge:1 asymptotic:13 would:3 eiωx:2 few:1 nucl:1 sitter:7 therefore:3 taken:1 3le:1 themselves:1 type:1 until:1 more:6 introducing:2 factor:1 emission:1 excellent:1 known:1 hole:15 science:1 equation:8 work:2 3l2:14 theories:1 den:1 following:5 making:2 ness:1 f4:1 wang:1 cosmological:1 give:1 calculation:7 neglected:1 pieces:1 council:1 sense:1 hod:1 end:1 divided:1 fourth:1 instead:1 parameter:1 sin:18 mukhanov:1 may:1 after:1 derived:2 dx2:1 plane:1 studies:5 waves:2 types:1 bekenstein:1 third:3 explicit:1 su:1 think:1 so:4 correlation:1 polyakov:1 d62:1 order:17 gµν:1 interpretation:1 developed:1 pointed:1 stability:1 thermal:2 through:1 argued:1 satisfies:2 its:1 group:1 chandrasekhar:1 decay:2 ln:8 interesting:2 parts:1 fig:1 ours:1 schmidt:1 might:1 correspondence:10 eventually:1 non:1 good:2 combination:1 ωr0:31 integral:1 introduce:1 obeyed:1 they:5 singularity:2 now:2 entropy:1 term:6 always:1 university:3 classified:1 backgrounds:1 2d:9 l2:5 mode:1 each:4 found:3 2n:3 2j:64 mean:1 chung:1 series:1 hypergeometric:4 reduce:1 idea:1 used:3 investigated:1 static:1 quantum:9 our:9 eq:6 regge:1 special:2 out:5 large:3 shown:3 acknowledgment:1 space:5 since:3 rev:10 re:1 dominated:1 formula:4 ref:7 math:6 extensively:1 i2:1 theory:5 divergence:1 quasinormal:23 clarify:2 perturbation:6 complicated:1 van:1 dω2:1 r0:13 derivation:1 r2:3 r3:1 determining:1 ds2:1 linearized:1 turn:1 gordon:1 corrections:2 cµν:2 first:4 jhep:2 coming:1 holography:1 another:2 angular:1 given:3 kodama:4 similarly:1 πj:2 leading:2 eqs:1 πi:3 relations:1 their:4 perturbations:5 master:3 convention:1 πz:1 dt2:1 really:1 final:2 schwarzschild:21 klemm:1 zeroth:3 solodukhin:1 prediction:2 part:5 believe:1 chong:1 peculiar:1 coefficients:6 center:1 relative:1 j2π:6 double:1 andersson:1 see:3 correlators:1 determined:1 were:1 perturbative:5 correction:6 argument:1 immirzi:1 reassuring:1 need:1 seem:1 hsien:1 refute:1 gravity:4 thorough:1 note:2 sciences:1 potential:2 horowitz:2 take:1 begin:1 normal:5 kao:1 simplify:1 involving:1 quantitative:1 phase:2 analytically:2 class:4 divergences:2 calculated:2 later:2 face:1 accounted:1 principle:2 sun:1 jν2:1 salt:1 fact:2 particularly:1 jµ:1 supported:1 maassen:1 purely:2 spaces:1 gauge:2 solutions:1 castello:1 astrophys:1 subtle:1 d2:1 find:3 based:2 just:2 parameters:1 should:1 analytic:1 only:4 going:2 black:38 postulated:1 achieve:1 equilibrium:1 do:1 klein:1 dependent:1 de:7 ones:1 dz:4 dr:2 ds:5 evolution:1 shu:1 fields:1 arxiv:1 grav:4 qc:8 london:1 choudhury:1 physically:2 national:4 j2:3 btz:1 observed:1 depends:1 result:9 discussions:1 closer:1 gravitation:1 tensor:1 review:2 supergravity:1 b360:1 symmetric:1 state:2 between:3 boundary:3 approach:2 available:1 notice:1 terms:5 spectroscopy:1 nature:1 however:4 jµ2:1 vanishing:3 jµ1:1 both:2 cos:18 cot:6 iωx:1 jπ:24 region:2 according:2 grain:1 retarded:1 expression:3 among:2 relevant:3 simple:3 period:1 dimensional:7 pole:2 anti:2 cancel:1 considering:1 described:1 sachs:1 been:8 describes:1 interest:1 schiappa:1 abstract:1 define:2 arises:1 quantities:1 wheeler:1 spectrum:3 bulk:1 determination:1 systematic:1 maximally:1 spin:1 former:1 those:4 case:3 explicitly:2 look:1 expanded:2 value:4 will:3 monodromy:7 behavior:1 situation:2 gubser:1 conformal:2 taking:1 loop:2 identical:1 klebanov:1 iz:4 strominger:1 refs:1 wkb:2 motl:5 discrepancy:1 canceled:2 itself:1 contradiction:1 dual:1 ready:1 superconformal:1 confirmed:1 author:2 corresponds:2 radiation:1 same:2 complex:1 quant:2 dµν:3 modification:1 neutron:1 higher:5 independent:1 extended:2 infinity:1 i1:1 numerical:14 kokkotas:1 dreyer:1 phy:1 kim:1 identity:1 recent:1 theoretical:1 modes:13 spacetime:5 analysis:4 bohr:1 trains:1 coordinate:2 comparisons:1 l105:1 2gm:2 dh1:1 usual:1 proposed:3 obtain:4 press:1 birmingham:1 thanks:1 predicts:1 integer:3 taiwan:4 scattering:2 previous:1 adv:5 ads:5 hint:1 seems:2 a392:1 interested:2 lett:7 necessarily:1 iπ:3 momentum:1 generalized:5 real:4 aspects:1 around:4 possible:3 ntnu:1 department:2 increases:1 background:3 lemos:1 i2π:1 using:3 helpful:2 theor:8 necessary:1 like:1 δv:14 translates:1 specific:1 abdalla:2 conclusion:1 accessible:1 because:1 shen:1 some:2 back:1 algebraically:2 b4:4 regularized:1 b1:4 b2:4 b3:4 santos:2 dimensions:6 confirm:1 electromagnetic:1 opposite:1 cφ:8 comments:1 dz1:7 dz2:6 assuming:1 prog:3 proc:1 branco:1 power:1 2c:5 agreement:3 expansion:1 eiπ:2 although:1 imaginary:3 carried:2 extension:1 most:1 o:4 surge:1 cancelation:1 d69:1 horizon:3 relativ:1 ylm:1 consequently:1 a4:3 jν:1 soc:1 chu:1 numerically:1 three:1 down:1 references:1 iπj:6 schrodinger:1 hep:21 area:3 support:3 there:5 long:1 stars:2 was:8 naturally:1 function:4 form:6 but:1 introduction:1 illuminating:1 contradictory:1 neitzke:4 l61:1 trying:1 made:1 whether:2 characteristic:2 gravitational:4 smooth:1 up:1 us:1 different:1 frequency:2 limit:5 uk:1 ωn:4 qnms:9 distribution:1 similar:2 clear:1 detailed:1 defined:3 certain:1 universal:1 contribute:1 general:2 enable:1 exist:1 qiu:1 identities:1 metric:4 vishveshwara:1 again:2 functions:1 extract:1 wavefunction:1 when:9 field:7 other:4 spatial:1 test:1 mathematics:1 massless:1 nice:1 living:1 siopsis:3 a1:3 a3:3 a2:3 a5:3 ξm:1 lent:1 variable:1 ξc:1 needed:3 structure:1 4z:4 dφ:4 physics:1 holes:23 together:1 mass:1 time:5 n3:1 |
0704.0285.txt |@word sci:5 remarkable:1 strengthened:1 caused:3 magnetic:6 rod:3 results:3 bc:2 leads:1 ohta:1 kosevich:7 ga:1 edu:1 morphology:1 follow:1 amplified:1 smet:1 lk:1 localized:4 layers:24 whose:1 gases:1 booth:1 etching:2 mallet:1 undistorted:1 equivalence:1 overlying:1 former:1 charge:17 edward:1 present:2 presumed:1 cm2:8 indicating:2 case:2 lifshitz:6 random:2 amplitudes:5 g0:1 very:13 bandgap:1 kω:1 rise:1 multi:1 wave:1 electron:10 every:1 orientations:1 fal:1 experimentally:2 manageable:1 exact:1 4ev:1 entire:1 school:1 propagating:1 level:16 transmission:2 positions:1 michael:1 large:11 anna:1 science:4 small:3 gauge:1 bars:2 dubonos:1 der:1 degeneracy:1 kz2:1 epitaxially:2 too:1 smaller:5 disordered:1 oscillation:2 haas:1 coefficient:1 direct:1 resistance:17 horn:1 fold:1 likely:2 value:3 equal:1 chen:1 further:4 estimated:1 remarkably:1 depression:1 theory:1 even:3 established:1 developed:1 sub:1 imperceptible:1 interactions:2 while:8 resistances:1 thickness:2 cell:1 experiment:2 en:8 causes:1 above:5 waals:1 new:2 electronically:1 commensurate:2 method:2 contrast:3 thin:3 revealing:1 impact:1 full:1 led:1 interfacial:1 never:1 spacing:7 residual:1 here:2 atoms:1 slow:1 free:1 mes:1 address:1 ratio:3 strong:1 appears:4 hass:6 obtained:3 convert:1 ultra:1 novoselov:3 institute:1 spontaneous:1 increasing:1 larger:4 typically:2 narrower:4 exiting:1 zero:5 suggests:2 franklin:1 published:3 domains:2 narrow:6 studies:1 ponomarenko:1 point:6 composed:1 diameter:2 via:1 useful:1 although:2 marchenkov:2 mobility:13 apr:1 lanzara:1 sample:13 marked:1 highly:2 visible:1 ml:6 neutrino:1 during:1 unit:1 plot:13 ando:5 quasi:5 indicated:1 usa:1 remains:1 positive:2 apparent:1 predictions:2 france:1 stacking:5 fet:1 therefore:3 lock:1 films:17 tanuma:3 e2:1 type:1 theoretical:3 reflects:1 more:16 sharapov:1 flat:2 diamond:1 initiated:1 becomes:2 factor:2 conducting:2 specular:1 reversibly:1 nguyen:1 mill:2 discrepancy:1 excellent:1 known:3 actual:1 cases:1 producing:1 harnessing:1 must:2 pseudospin:5 walled:1 springer:1 rotational:3 room:2 plateaus:1 phillip:1 equation:4 work:3 debever:2 thickest:1 dramatically:1 mt:1 remain:1 bias:1 values:1 temperatures:8 mr:6 metal:1 drops:1 root:1 example:3 zong:1 control:1 ions:1 transition:4 wang:1 figure:2 brown:1 nanoelectronics:4 discussed:1 purposes:1 saito:1 states:7 indicates:2 assumptions:1 purity:1 illuminated:1 crespi:1 rods:3 times:5 yet:1 occur:2 multilayers:2 axis:3 information:1 defective:2 carriers:9 rather:1 auger:9 zhang:3 han:1 feature:6 spectrosc:1 situ:1 sic:35 faults:1 occasionally:1 instead:1 furnace:1 parameter:1 profile:1 sprinkle:3 mat:4 arcs:1 may:10 earlier:1 minimum:1 collection:1 dell:1 diagram:1 hence:6 fundamental:1 jablonski:1 hussain:1 demonstrating:1 spots:1 date:1 verified:1 summarize:1 data:4 grow:3 realized:1 short:1 jiang:3 preferential:1 light:1 sq:1 spectra:1 lines:4 lost:1 fraction:1 claire:1 extrapolation:1 so:9 deposit:1 inhomogeneity:1 gerard:1 increase:2 order:10 typical:2 our:1 considerations:1 sadowski:5 over:3 find:3 soon:1 interpreted:1 produced:1 mobilities:5 experiments:4 including:1 joanna:1 lattices:1 µm:17 still:4 its:2 regions:5 simkin:1 difference:2 paradoxically:1 fit:1 energies:1 interesting:1 probe:1 r30:1 expectations:1 exhibits:1 li:12 peng:1 platform:1 absence:4 degrees:2 fig:42 torr:1 penn:3 graphitic:2 versus:2 non:1 good:1 greater:1 focus:1 outlined:1 material:11 oxidizing:1 dai:1 landau:32 uhv:4 band:3 qr:5 shubnikov:1 effects:4 they:4 qhe:6 bar:9 speculate:1 semiconducting:3 hall:30 nor:1 represents:1 february:1 dirac:23 bostwick:1 fully:2 arrows:1 identified:1 egger:1 powell:3 2d:15 magnitude:2 trap:2 reasonable:1 radial:2 x10:2 found:9 entirely:2 2o:2 decreasing:6 characterized:2 bond:4 orientational:1 domain:2 weyl:1 successively:1 significantly:2 nanometers:1 interlayer:2 series:1 eg:1 ef:9 fitting:1 levy:1 related:5 manifests:1 challenges:1 conductance:1 attenuation:1 intrinsic:1 ex:1 gating:1 quantum:16 laboratory:1 lithography:3 ev:3 thick:1 out:3 shown:3 dominates:1 factors:1 marcin:1 umansky:1 furthermore:2 since:3 rev:13 research:1 particles:2 rf:1 dominated:1 anal:2 electronics:3 squares:1 induction:1 integrated:1 shows:16 coincides:1 marek:1 after:7 linear:5 mev:4 localization:18 frank:1 little:1 possibility:1 standard:2 altshuler:1 indices:1 reason:1 formation:2 imaging:1 enhance:2 clarity:1 estimate:2 bilayer:2 e3:1 multiwalled:1 interaction:1 chiral:5 locations:1 widths:1 could:5 persists:1 success:1 feasible:2 silicon:4 caption:1 length:5 levels:6 massive:1 hertel:1 transfer:1 consequence:2 potemski:2 view:1 martin:1 top:5 substrates:5 first:17 origin:3 corrugation:3 there:3 daunting:1 features:6 striking:2 number:4 channels:2 fits:1 inhibits:1 ripples:2 another:2 carry:1 reached:1 array:1 precisely:2 electronic:9 angular:1 aharonov:1 size:3 multilayered:1 given:4 sheet:3 temperature:6 indicate:3 introduction:1 ultrathin:2 system:3 least:1 heights:1 intense:4 their:4 intermediate:2 ballistic:6 fermions:1 calculations:2 roth:1 white:2 structures:5 ebn:1 scans:4 shifted:1 way:1 centered:1 explanation:1 continuous:1 serve:2 accurately:1 prediction:2 favorable:2 overwhelming:1 x6:1 than:12 peaked:1 wide:1 nanostructures:2 unfortunately:1 stm:3 require:2 summary:1 arb:3 submitted:1 ranging:1 preparation:1 matter:1 determined:4 intensities:2 amplitude:5 were:5 gives:1 distinguished:1 extracting:1 exhibit:4 function:4 counter:1 jpn:2 considerably:1 suzuura:1 resistive:1 spectrum:3 correspond:2 dash:4 current:2 analysis:6 seen:10 seem:1 confirms:2 apparently:3 clearly:5 relatively:6 gusynin:1 defects:2 issue:2 angle:2 built:2 mermin:2 depending:2 smooth:2 self:1 1d:2 si:22 hexagonal:2 metallic:3 note:5 liu:1 high:20 potential:2 prototypical:1 analogy:1 destroy:1 strengths:1 tool:1 morozov:2 surf:7 stormer:2 cnrs:1 unoccupied:1 ray:10 electric:2 normal:2 buffer:1 who:1 neutrinos:1 systems:1 abruptly:1 most:9 2ne:3 mahalu:1 sheets:4 successive:1 phase:7 tunneling:1 extremely:3 class:1 damage:1 appear:3 patterned:5 kb:1 cause:1 especially:1 surprising:1 average:1 3kev:1 stronger:1 kn:1 passes:2 face:26 seyller:1 electrons:13 principle:1 pattern:5 velocity:4 coincided:1 physics:2 fact:10 neto:2 emerging:1 show:6 nπ:1 doped:1 scattered:2 teitelbaum:1 infrared:3 discovered:1 relation:1 hohenberg:1 rough:2 thicker:2 subtracting:3 nominally:2 o:3 feng:5 specifically:2 based:2 conduction:1 less:2 folded:1 enough:1 geim:3 should:4 only:7 ribbon:9 micron:1 ellipsometry:1 parabolic:1 anneal:2 hope:1 emphatically:1 dn:1 do:2 dominant:1 reconstruction:7 klein:1 distance:1 dependent:3 rotated:4 de:14 assumed:2 preferred:1 beam:3 cannot:3 nearly:4 words:1 probably:1 carries:3 conjunction:1 reveal:1 resolve:1 substrate:5 conclusion:1 course:1 fields:8 arxiv:1 katsnelson:3 microscopy:1 across:2 rotationally:1 underscores:1 berlin:1 saturates:2 predicted:1 though:1 qi:1 through:7 martino:1 naud:2 terrace:1 scanning:1 traverse:1 fascinating:2 achieved:2 nanotube:5 sensitivity:1 kolmogorov:1 conductivity:1 kink:1 observed:10 intensity:8 electrostatic:1 bare:1 devices:1 cyclotron:1 close:2 quantizing:1 techniques:1 surfaces:1 inversely:1 wire:1 interacting:1 position:1 down:2 scattering:10 away:2 currently:1 rings:4 separation:2 2πkb:1 xray:1 pressures:1 state:1 protected:1 various:5 alignment:1 epitaxial:39 between:7 tens:1 graphite:17 mun:1 conditions:1 email:1 15th:1 discovery:2 bourn:1 recently:2 relative:3 nature:8 defect:1 weak:26 however:4 debate:1 wu:3 ns:1 key:2 interface:15 carbon:10 jetp:1 suppressed:2 yacoby:1 improve:1 both:7 essentially:1 departs:1 last:1 reverse:1 fault:2 region:1 barely:1 resist:1 incident:1 attributed:1 sov:1 layered:2 berry:5 faces:2 quite:3 maxima:4 minima:1 presumably:1 sinh:1 prepared:1 characterization:1 character:1 others:2 adatoms:2 period:2 community:2 except:3 dimensional:2 exploit:1 anti:8 modeling:1 respect:4 throughout:1 vch:1 finally:1 described:1 second:2 yoshioka:1 addition:1 chirality:2 due:11 been:4 guinea:2 much:13 deposited:5 interest:1 expected:8 extreme:1 ko:1 plateau:1 direction:3 contribute:2 corresponding:2 deeper:1 6h:3 linearity:2 coherence:4 gas:2 cos:1 gap:4 bulk:10 coherent:2 lift:2 determination:1 tan:3 atlanta:1 spin:2 diffuse:8 those:5 distorts:1 intriguing:2 georgia:1 stacked:3 unlike:2 pacs:1 solid:5 tip:1 profiles:1 will:2 near:3 backscatter:2 behavior:1 intercepts:2 property:3 tans:1 interconnected:2 characterizing:1 grigorieva:1 layer:28 relat:1 vf:5 coupled:1 almost:1 characteristics:1 graphene:119 simulations:1 thus:1 them:1 surface:5 according:1 itself:1 cond:4 cone:6 each:2 beautifully:1 ready:1 limit:3 chem:2 sits:1 technology:2 conserve:1 grown:14 different:5 develop:2 thereby:1 shorted:1 author:1 lengths:1 suggest:5 progressing:1 cross:1 4cm:2 any:1 complex:2 overlayer:1 observations:1 schematic:1 units:2 proved:1 several:7 kn2:1 mayo:1 higher:2 jeffrey:1 used:2 peaks:11 see:11 unlabeled:1 structurally:1 effect:15 hand:4 v0:10 lφ:1 insulating:2 edges:8 conductors:1 architectures:1 kim:3 potentials:4 discernable:1 break:1 lower:2 off:1 modes:1 nevertheless:1 variety:1 well:12 undoped:1 without:2 bohm:1 patterns:2 todorov:2 materials:5 solve:1 experimental:1 sets:1 quantitative:1 model:7 chemistry:2 ilani:1 cryogenic:1 charged:3 garreau:1 rms:1 meyer:1 tunable:1 just:1 examining:1 when:7 schedin:1 wagner:2 obtain:1 isolated:2 shape:2 underlying:1 identify:1 atomic:1 gated:1 using:4 gweon:1 speed:1 compared:3 succeeding:1 adding:1 rapid:1 preprint:1 cm:12 wee:1 density:25 absorption:4 scales:1 seems:1 mask:1 discuss:1 lattice:1 valid:1 bernal:1 samples:9 born:1 poised:1 match:1 plasma:1 momentum:3 resolved:3 acta:1 saturation:1 around:2 ample:1 vertically:1 conclude:1 bands:1 showing:5 progressed:1 possible:2 corresponds:4 possibly:2 increases:2 nakanishi:2 indicative:1 roughness:3 background:5 vacuum:2 step:1 world:1 2nd:1 grenoble:2 exfoliated:8 formal:1 heer:12 walt:2 rotate:1 like:7 particle:9 monolayers:1 interestingly:1 sizes:1 unprotected:1 noted:1 communications:1 index:2 arbitrary:1 simply:1 conrad:7 disorder:3 signal:1 hallmark:1 because:1 methods:3 exposed:1 reveals:2 some:4 back:4 imaged:1 understood:1 linearly:1 growth:5 flatten:1 moreover:1 images:2 manifest:1 transport:13 pronounced:3 scale:3 vs:3 lead:1 monolayer:2 demonstrates:1 measurements:7 rotenberg:1 inhibit:1 1g0:3 moos:1 does:4 contact:1 provides:1 assuming:2 evidences:1 counterions:1 moderate:1 o2:1 demonstrated:4 magnetoresistance:8 slight:1 bn:6 photoelectron:1 conventional:1 cryst:1 host:1 hsq:3 ratios:1 become:3 carbide:3 properties:15 verschueren:1 about:11 rare:1 would:6 fo2:1 anomalous:7 dependence:8 recognized:1 reduced:1 distinct:1 range:5 carrier:1 greatly:1 done:2 act:1 islands:1 efforts:1 mean:3 consequently:1 registry:1 xu:1 berger:10 soc:2 significant:2 contacts:1 ertl:1 h2:2 image:1 within:1 splitting:1 backscattering:2 three:2 martinez:2 mccann:2 square:3 references:1 reflectivity:2 primarily:2 heated:1 approximately:3 actually:1 next:1 often:1 terminated:4 statistics:1 van:3 featureless:1 multilayer:6 measured:5 loh:1 initial:1 approximate:1 long:6 dispersion:3 width:15 pa:1 low:21 terminates:1 subsequent:1 etch:1 was:2 energy:8 inhibited:1 consists:1 lowest:3 depopulated:1 azimuthal:3 form:1 phenomena:1 differences:1 agrees:1 but:8 gatech:1 solids:1 incorporation:1 nanotubes:10 ref:2 implies:1 line:8 eb:1 sdh:18 inverse:1 made:1 polytypes:1 coulomb:2 consist:1 rippling:1 whether:1 characteristic:4 robustness:1 up:2 us:2 excitement:1 crystal:2 below:6 firsov:1 fermi:10 critical:1 spectroscopy:3 fedorov:1 demonstrate:1 similar:3 clear:1 b1:3 detailed:1 sauvage:1 result:1 ab:2 associated:1 directly:1 intercept:4 many:2 defined:2 curve:1 abstract:1 describe:1 influence:2 evidence:7 peres:2 oscillations:14 single:3 proves:1 wavelength:3 crystals:2 ew:1 film:6 regime:1 vertical:2 functions:1 transitions:5 nm:10 dotted:1 no:7 dashed:2 whereas:3 generally:2 inset:4 dispersionless:1 field:28 leed:10 other:11 electrical:1 details:1 phenom:1 patterning:3 snapshot:1 massless:4 ribbons:10 4k:1 deviation:3 polar:1 required:2 formed:1 zhou:1 photon:1 azimuth:2 problems:1 update:1 subtraction:1 includes:1 a0:1 bonding:1 important:8 dekker:1 peak:12 undulations:1 dissipation:1 song:3 structure:10 gao:1 correlated:1 250k:1 coupling:1 wafer:1 controlled:1 starting:1 bottom:4 diffraction:3 microelectronics:1 equivalently:1 phonon:1 confinement:8 dot:4 4h:6 mcchesney:1 appl:3 requires:2 lett:9 once:1 |
0704.0286.txt |@word limited:6 magnetic:1 saves:1 consists:4 calculate:1 paris:1 presents:1 manifolds:1 under:6 kuchment:17 worth:1 conjecture:4 reconstructions:10 overcomes:1 experimentally:1 vast:1 look:3 school:1 suffices:1 solution:15 vector:5 c01:1 ups:1 estimates:2 direct:2 pulse:6 approximation:9 surrounding:6 likely:2 tangential:1 spect:1 implemented:3 even:12 established:2 errors:2 filtration:3 trapping:7 dept:1 selected:1 jaeger:1 reconstruction:54 new:6 med:7 guillemin:3 notions:1 equals:1 here:17 met:2 represented:2 diagnostic:1 obtained:5 approaches:1 controversy:1 tuchin:2 fourier:22 diameter:2 projection:2 explained:2 highly:1 visible:4 total:2 univ:1 rω:2 unit:6 derivatives:2 would:14 ramm:2 negative:2 distributing:1 noting:1 call:1 therefore:3 m3:3 m2:2 calc:1 type:13 ehrenpreis:2 successful:2 brings:1 berlin:1 backwards:1 excellent:1 hold:3 must:12 springer:4 permits:1 work:10 mk:1 geometry:28 deficiencies:1 concepts:1 already:7 example:4 pinkus:2 wang:12 indicated:1 hemoglobin:1 preserving:1 involve:3 indicates:2 times:3 guarantee:1 end:1 recovery:4 thing:1 provide:12 verify:1 feature:3 how:4 answer:2 symposium:1 oscillatory:1 description:3 replacing:1 after:4 wrong:1 mesh:3 types:5 attempt:2 summing:1 algorithms:7 imθ:1 observability:1 order:14 triggering:1 operations:1 restriction:3 interpretation:2 over:11 expects:1 london:1 satisfies:1 before:9 better:1 harmonics:1 easier:2 them:6 combination:1 safe:1 fig:6 often:6 band:1 penetration:1 effects:2 they:4 singularity:1 structural:1 represents:1 oxygen:1 each:8 acoustic:5 higher:5 side:6 mean:33 preceded:1 series:13 principles:3 joined:1 codimension:1 arrives:1 network:1 rs:31 restricted:2 ry:1 content:1 rf:10 conjectured:1 medicine:1 rn:3 xu:8 ri:6 arizona:2 linear:5 herman:1 surveys:4 free:3 standard:7 admits:1 inversions:1 detecting:1 publ:1 r1:1 recovering:3 r3:6 practitioner:1 creates:1 corrections:1 uses:3 industrial:1 dynkin:1 biomed:1 another:3 researched:1 cartesian:1 xie:1 needed:2 quinto:13 zeros:10 too:2 toc:1 john:1 centered:10 tool:2 zweiter:1 somewhat:1 uhlmann:2 norton:2 finitely:1 distance:1 showed:1 approximations:1 parametrix:1 second:3 reconstructing:3 matter:1 classes:1 kth:1 acquisition:4 sees:2 spectrum:2 talking:2 seen:2 seem:3 seminar:1 ray:8 thoroughly:1 latter:2 absorbed:2 circles:2 though:1 denominator:1 birkh:2 simplify:1 regular:1 observation:5 medical:5 detectors:15 doe:2 points:6 principle:3 parametrices:1 came:1 dover:1 saying:1 nonuniqueness:1 kruger:4 solutions:9 substituting:1 d2:1 eliminated:1 touches:1 proposed:1 spite:2 implementation:3 situations:1 explain:1 theme:1 specify:1 oct:1 do:10 dl:3 above:6 de:1 da:13 dx:7 dy:1 reconstruct:7 dt:13 dr:4 ds:2 nicely:1 fields:1 method:7 bad:2 riemannian:1 traverse:1 detection:2 depends:1 radius:2 projections:2 discussions:3 techniques:9 lancaster:1 tensor:1 away:1 simplest:2 approach:7 terms:9 positron:1 nature:3 however:22 wu:1 extent:1 modeling:2 improve:2 suggested:5 essentially:2 shubin:1 experimentalist:1 vibration:1 faces:1 distinction:1 expense:1 com:1 concluding:1 greenleaf:1 polynomial:14 gratitude:1 basis:1 observing:1 three:4 been:28 t2:3 much:3 interest:5 expected:1 algebras:1 topics:2 olafsson:1 life:1 thermoelastic:1 concerning:4 spie:7 encyclopaedia:1 applied:7 aim:2 contemp:2 near:2 suppose:3 applies:1 procedure:7 cylinder:5 ii:2 tissue:2 im:2 exterior:1 id:1 vainberg:2 containing:2 suggest:1 make:1 incorrectly:1 filtered:4 several:6 numerical:4 counterparts:1 hand:6 auser:2 graev:3 interferometers:1 suitable:2 itself:1 academic:1 left:4 just:9 newton:1 modalities:2 thermoacoustic:33 hofer:3 transforms:7 yes:1 scattering:2 yet:4 previous:3 designers:1 infinitely:3 irradiated:1 had:2 passive:3 collections:1 easy:4 advances:1 posed:1 possible:4 rnx:1 background:1 judge:2 unique:4 semi:1 remind:1 steps:1 arbitrary:5 www:3 right:3 deal:2 people:1 successfully:1 proceeding:1 microwave:1 romanov:1 exposition:1 unstable:2 algorithmic:1 illustration:1 properties:1 chapter:1 o:10 plus:1 jacques:1 considerations:4 raised:1 statements:2 differentialgleichungen:1 presence:2 down:2 lies:1 acad:2 sov:1 1990s:1 methods:17 discrepancies:1 stefanov:1 nodal:4 support:15 initial:7 approximate:3 class:2 editor:2 way:9 m1:2 anosov:1 was:10 tamu:1 lowest:1 medium:2 form:7 forming:1 denoting:1 heat:1 true:1 versions:1 conf:1 inside:18 devices:1 gindikin:3 discretized:1 tucson:1 computing:1 abstract:1 proven:1 convergent:1 proves:2 dλ:1 dθ:1 believable:1 floating:1 check:1 physical:2 dotted:1 no:39 when:17 vanishes:4 ny:1 role:2 papers:1 180o:1 optically:1 picture:2 models:3 preceding:1 ξt:1 fabry:2 nods:1 ξo:1 variable:13 faster:2 assume:15 dτ:1 time:25 angiogenesis:1 backward:1 reviewers:1 varying:1 integration:4 leads:6 computation:2 fawcett:1 devoted:1 certainly:3 inverse:15 technique:1 editors:3 finally:1 compensate:1 analogous:1 circumstances:1 division:2 string:1 advantage:1 orthogonal:1 frequencies:1 dokl:2 choice:1 advised:1 exact:9 notations:1 annihilated:1 presented:1 did:2 proposals:1 div:3 reconstructive:1 prevent:1 says:1 oscillation:3 discover:2 literature:2 substitute:1 spectral:2 t2k:1 adds:1 stands:1 ere:1 celebrated:1 uniform:1 suspect:2 unrestricted:1 satisfy:1 jury:1 understanding:2 water:1 tangent:2 groups:2 address:3 alone:2 along:7 appears:2 healthy:1 studied:4 commonly:1 spheres:9 poisson:1 usually:1 resonance:1 studies:1 tasks:1 spatially:1 convolution:2 extra:1 marvelous:1 intensively:1 positive:4 scan:1 compactly:11 theoretical:3 acceptable:1 apparent:1 validity:3 visual:1 geophysics:1 cases:10 effort:1 insights:1 originally:1 radon:36 reviews:1 values:15 following:22 quadrics:1 arrive:1 placements:1 figure:12 expanding:1 agent:1 topic:2 performed:1 exclude:1 occur:1 verlag:3 regularization:2 rays:3 fortunately:1 s2:1 discussion:7 orthogonality:1 write:1 pure:3 parameter:3 beylkin:3 r2n:1 mat:2 huge:1 elusive:1 applications:3 produce:2 designed:1 data:58 eighth:1 natural:2 outline:1 ormander:3 whenever:1 eng:1 explicit:9 sk:1 so:13 sn:1 representation:3 typical:1 approx:1 duke:1 indeed:6 soc:9 years:2 stability:4 course:1 still:9 ieee:6 derive:2 thank:1 jin:1 interesting:4 coxeter:3 coordinates:1 aviv:1 offers:1 gtt:1 main:4 texas:1 fidler:1 non:40 introduce:4 qualified:1 identically:3 now:10 discuss:2 nor:1 inversion:37 equality:4 january:1 orthonormal:1 breach:1 instabilities:1 klibanov:2 em:7 domain:12 square:1 ed:1 eg:1 challenges:2 interferometer:2 happen:2 avoided:1 shown:8 accomplish:1 space:12 increase:1 attracted:2 contained:1 emerged:1 formula:21 squares:1 correct:1 shows:7 earlier:1 theory:5 singularities:6 million:1 possibility:2 quite:2 advantages:1 besides:1 advance:1 derivation:1 georgieva:1 impose:2 iterative:1 devaney:1 motion:3 turn:1 place:3 gordon:1 think:2 first:10 origin:1 xi:1 shapiro:1 variables:1 waves:5 transform:51 simplified:1 long:3 array:1 open:3 angular:1 xt:1 size:2 interchange:1 little:2 necessarily:4 fm:7 realization:1 gives:2 mostly:1 continuous:1 proving:2 x2:1 x3:1 x0:6 x1:1 than:13 coefficients:8 wide:3 unfortunately:1 require:2 tomographic:3 were:11 addressing:1 ann:1 locations:4 generalization:1 say:3 recover:3 any:25 numerics:1 converges:1 note:1 sciences:3 ideal:3 online:1 interior:3 green:3 strengths:1 formulas:42 sure:1 multiple:1 normal:10 microwaves:1 algebraic:5 nolan:1 formulae:1 remarks:6 forever:1 especially:1 considered:5 average:3 later:2 implications:1 precise:2 show:7 cheap:1 contemporary:1 discovered:5 spaces:5 micchelli:1 feng:1 slow:1 enough:4 analytic:15 only:16 explicitly:1 helmholtz:4 berenstein:1 closed:17 get:2 satisfied:3 progress:5 neither:1 hinges:1 yield:2 rotationally:1 ut:1 sonar:2 pang:1 discussing:1 kernel:1 attenuated:1 imposing:1 j0:6 blurred:1 namely:2 actively:1 college:1 vivo:2 collects:1 surfaces:7 appear:1 fails:2 detect:1 eigenfunctions:5 ways:1 review:2 mth:1 konstanten:1 boundaries:1 outside:12 between:4 geometric:3 αm:6 across:1 schuster:2 arrival:1 notice:5 august:1 receivers:2 planes:2 jp:1 jm:9 jn:4 comm:2 article:2 come:1 σn:4 many:7 region:2 called:9 propagation:1 among:1 affine:1 characterization:1 continuation:4 pole:1 grants:1 cancel:1 unusual:1 cosine:1 combined:1 differently:1 direction:3 photon:2 monogr:1 textbook:1 those:2 case:39 developing:1 engineering:3 profiles:1 fio:1 trick:1 transactions:3 situation:1 nonstationary:1 unsatisfactory:1 planar:12 regularity:1 converts:1 mod:1 technology:1 different:14 pat:1 author:3 same:10 extended:2 leonid:1 zehnder:2 gusev:1 running:1 severe:1 costs:1 solve:2 alleviate:1 model:9 dimension:10 researchers:1 justify:1 ferroelectrics:1 being:9 relevant:2 speed:34 photons:1 seems:4 improvement:1 lett:2 real:3 eigenfunction:3 eigenvalue:1 rules:1 sketched:1 early:3 formalize:1 grid:1 using:24 ams:4 ruled:1 reduces:2 either:2 integrals:12 stationary:6 satisfactory:1 imaged:5 sib:1 duration:3 provided:2 dimensions:19 pioneer:1 critical:1 decomposition:2 provides:9 bessel:8 refer:1 measuring:2 scientific:1 power:2 seconds:1 uniformly:1 equivalent:5 symp:1 injectivity:6 favorite:1 practical:10 discusses:1 perturbed:1 helgason:2 unbounded:1 image:7 numerically:1 references:4 inverting:2 operator:27 theoretically:3 biomedicine:1 log:3 area:6 assumed:5 strictly:3 there:23 philadelphia:3 low:4 lot:2 complete:8 fundamentals:1 sophisticated:1 impedance:4 pdes:3 proposal:1 applying:1 improved:1 ωi:2 monopole:1 expect:3 detailed:1 gone:1 certain:1 describe:6 am:1 deep:1 general:5 ap:4 formulation:3 tittel:1 az:1 fill:1 incorrect:2 extending:1 ideally:1 hybrid:1 mathematics:11 polar:2 briefly:2 academies:1 kirchhoff:1 computerized:3 important:4 bounded:6 requires:2 curve:2 tataru:2 having:1 starting:1 external:1 since:20 sci:3 consider:8 founded:1 follow:1 ptt:2 synthetic:1 rd:8 tx:1 ty:2 cheney:2 tn:2 th:1 ρdρ:1 presentation:1 sound:26 woman:1 transducers:25 very:10 reader:2 corollary:8 condition:6 unlike:2 hamiltonian:2 evaluation:1 list:2 applicable:2 large:10 small:4 biological:2 anal:9 abbreviated:1 tel:1 go:2 zero:24 pass:1 further:1 intimately:1 what:12 sun:1 section:20 brief:3 gj:4 version:3 strichartz:1 acknowledgments:2 contrast:9 raton:2 ordnung:1 edited:2 ranges:4 cylindrical:5 directions:2 strong:1 equations:8 allows:1 amount:1 uniquely:1 followed:2 family:3 establish:1 research:1 conventional:1 khan:1 takes:5 contains:5 ψk:2 aperture:1 linearer:1 more:8 israel:1 knows:1 operators:4 emission:4 particular:9 known:20 projective:1 r2:5 science:1 equation:24 remain:1 acousto:1 gˆm:8 states:1 sphere:20 hyperplane:1 arise:3 station:1 axis:3 information:7 needs:6 goal:1 rather:10 zhang:1 noninvasive:1 acta:1 explains:1 simplicity:1 tried:1 wiley:2 derived:4 catalog:1 plane:10 coming:1 fi:1 fk:6 fl:2 response:1 short:3 developed:7 soon:1 distortion:1 radar:1 wiener:1 paper:3 through:6 existence:1 suffer:1 its:19 lateral:2 solving:2 blurring:1 absence:1 systems:1 isaac:1 might:7 good:7 yn:2 universality:1 oxford:1 suffice:1 yu:1 mystery:1 easily:3 gets:2 2r:9 always:3 multivariate:1 level:2 2d:14 radial:1 found:2 2k:5 formulate:2 energy:7 hard:1 reduce:2 idea:1 obtains:1 measurement:3 infinity:1 robert:1 surrounded:3 denotes:1 health:1 dxdt:2 induced:1 issue:3 fiber:1 interscience:2 reason:2 imaging:23 beginning:1 pairs:3 unresolved:1 american:2 exponentially:3 major:2 perturb:1 number:3 dinh:2 utilized:1 done:2 reflectivity:1 equating:1 perturbation:1 temperature:1 introduction:3 smoothes:1 least:3 assumption:2 statement:5 dt2:1 scheme:3 tangency:2 recovered:6 observations:1 trapped:1 immediate:1 boca:2 luckily:1 optical:8 consult:1 albeit:11 kind:2 molecular:2 andersson:1 determined:2 toward:1 treated:1 scanners:1 beforehand:1 substantial:1 concentration:1 confirms:1 lie:2 self:2 extracted:1 without:4 generalized:4 finding:1 unconstrained:1 analogs:2 play:2 towards:1 kak:1 measures:3 most:16 significant:3 measured:17 chap:2 mach:2 sensing:2 clear:4 sometimes:2 coincides:2 part:4 ku:1 physics:7 hyper:2 gold:1 authors:5 relation:1 find:7 completion:1 parameters:2 circle:5 huygens:3 express:1 breast:1 boils:2 alexander:1 resolve:2 transversal:1 dissertation:1 tumors:1 arxiv:5 crc:2 common:2 set:44 ser:1 achieved:2 unpublished:2 plausible:1 see:28 arc:2 descriptions:4 close:1 analog:5 preparation:1 fang:1 currently:2 osungen:1 smallest:1 various:2 vascular:1 probably:1 conditions:36 knowing:2 recently:4 missing:1 interfaces:2 attention:2 vanishing:2 invisible:1 preprint:9 both:4 prospects:1 last:1 reverse:1 pde:4 whole:7 arbitrarily:1 point:22 simple:8 perot:2 leon:1 dimensional:9 agents:2 throughout:1 pp:2 described:8 pt:2 create:1 due:12 laplacian:2 intricacies:1 describes:1 evenness:5 collected:4 combine:1 radiofrequency:1 imag:3 remark:1 gap:1 determination:1 funk:1 georgia:1 resulting:2 exponential:5 straight:2 institute:1 while:4 replaced:2 compactness:2 behavior:2 error:3 guide:1 resolved:4 vectors:1 vol:2 von:1 encountered:1 obstacle:1 vanish:3 around:2 anymore:2 grant:2 belong:1 shorter:2 read:1 products:2 interpolation:3 development:2 used:12 comprehensive:2 domains:1 moment:14 moving:1 purpose:1 louis:1 recent:9 lower:1 older:1 kashiwara:1 analysis:11 obviously:2 person:1 machinery:1 consistency:1 exponentials:1 lin:2 recoverable:2 λr:3 gelfand:5 λt:7 applicandae:1 questions:4 world:2 λk:5 useful:5 alternative:3 λm:4 move:2 ultrasonics:2 cut:1 liu:1 alternate:1 signals:3 source:5 location:3 theorem:34 guarantees:1 amended:1 couple:1 integer:3 bit:1 projects:1 helpful:1 imposed:2 tangentially:2 follows:6 signal:8 disks:1 collect:2 imposes:1 yields:2 pointwise:1 mathematical:26 sketch:3 neumann:1 mathematicae:1 some:38 back:2 added:1 examples:6 newsletter:1 scale:1 describing:2 measurements:2 exceeding:1 providence:5 behave:1 proc:8 object:13 perpendicular:1 hilbert:1 constraint:1 novikov:1 prove:5 remains:2 range:21 πm1:1 πm2:1 transients:1 computational:1 into:8 integral:20 nsf:3 appropriate:3 extremely:1 question:6 fast:10 handbook:4 sections:2 vienna:1 transmitter:1 russian:1 line:16 active:1 characteristic:3 up:1 us:9 um:18 2πr:6 sum:1 heterogeneous:1 similar:6 laplace:4 uber:1 constant:19 influence:1 transl:2 single:2 tomography:59 phantom:4 rewriting:1 application:5 nap:1 electrical:3 department:2 wrongly:1 problems:31 polynomials:7 lens:1 restoration:2 allowing:1 structure:1 feasible:2 implies:3 algorithm:6 practically:3 required:1 diffraction:1 notion:1 equivalently:1 depth:1 incomplete:8 far:1 rigid:2 imprecise:1 breakthroughs:1 partial:10 funct:1 results:13 existing:1 eds:1 bellingham:2 edu:3 intricate:1 gm:10 gk:7 centers:4 issues:5 compact:3 biol:2 disposal:1 stably:3 uniqueness:53 stable:1 diebold:1 include:2 sent:1 implicitly:1 wave:32 paraboloid:1 microlocal:8 severely:1 transmission:1 try:1 eigenvalues:2 optics:2 zh:1 jump:1 imply:2 odd:9 invertible:1 analogously:1 bicharacteristics:1 manufactured:1 implementable:1 3d:13 body:1 impact:1 degree:3 respectively:1 desired:1 others:1 consideration:2 sine:4 great:1 trans:6 technical:2 involved:1 larger:4 contradiction:2 survey:4 implement:1 makes:1 control:1 formulated:5 addresses:1 rivi:1 integrations:1 addressed:3 summation:1 tools:3 use:9 asymptotic:2 usa:2 photoacoustic:13 next:4 few:2 simpler:2 touched:1 symposia:2 becomes:1 normalized:3 rare:1 reconstructed:4 account:1 balls:2 integrating:4 challenge:1 obvious:1 publications:1 averages:3 proof:9 tat:32 escapes:1 calculation:1 discussed:4 purposes:5 egorov:1 pieces:1 high:4 something:1 sought:2 tam:1 decaying:3 holds:7 cancelation:3 regions:1 located:4 paley:1 instead:2 sin:9 circular:4 hurdles:1 singular:1 await:1 inst:1 efficiently:1 λ2n:1 λ2m:2 light:3 lines:6 element:1 allow:1 divided:1 six:1 reversal:1 insight:1 interpreted:1 hypersurface:1 mentioned:8 superior:1 decay:11 chosen:1 temporal:1 biomedical:9 lp:3 instruments:1 derivative:5 defining:1 weber:2 backscattering:1 newman:1 mention:4 front:7 rotation:1 day:1 strive:1 february:1 university:4 sufficiently:5 l2:3 involvement:1 eine:1 homogeneous:4 doing:1 related:6 society:1 decays:2 computable:1 measure:1 our:4 patch:3 special:1 out:2 matt:2 matrix:1 rev:4 geom:1 reinecke:1 supports:2 math:39 achievements:1 recoverability:1 hankel:8 completely:2 surely:1 york:4 thrust:1 monographs:1 dirichlet:6 dubbed:1 determining:1 could:4 keep:1 length:3 hence:2 ionic:1 crystallographic:1 prospective:1 reaches:2 eikθ:2 wavefront:1 practitioners:1 adjoint:1 system:6 relations:2 their:9 appl:8 siam:8 shell:1 sternberg:1 nilsson:1 completed:1 exactly:2 reflecting:1 submitted:2 sweden:1 transducer:6 providing:2 result:17 curves:2 ultrasonic:2 need:7 apparently:1 clearly:5 angle:1 studying:1 able:2 mechanism:1 instance:19 detector:3 mit:1 lectures:1 propagate:1 why:2 χv:1 proceedings:1 diagnostics:4 fact:7 emerging:1 text:7 supported:20 anyway:1 rough:1 trivial:5 based:3 knowledge:3 basel:2 should:8 lemma:3 local:4 hope:1 cube:1 means:8 familiar:1 ones:5 backprojection:14 words:4 procedures:5 areas:2 brain:1 numerous:2 differential:5 expansions:1 contain:1 qk:13 fixed:2 view:2 available:6 modulo:1 computed:8 exists:2 smooth:8 national:1 truncating:1 copland:1 conductivity:1 lut:1 wa:2 record:1 tend:1 dms:2 correctly:2 invariant:2 boundary:11 ends:1 importance:1 amer:7 problem:34 comparably:1 interpretations:1 taking:3 la:1 equal:7 etc:2 passing:3 otherwise:2 ck:2 strongly:2 ch:2 co:1 conclude:3 harmonic:16 cd:1 interface:6 respect:12 cp:1 geometries:4 addition:2 fract:1 scherzer:8 utilizing:1 arises:1 corresponding:4 sufficient:5 cos:4 acoust:1 angles:1 bull:1 c2:4 atlanta:1 c0:2 present:5 divisions:1 novel:1 laser:3 subsets:1 value:8 will:34 vi:1 thus:36 surface:32 vo:2 dual:1 stoica:1 claimed:1 conical:1 complexes:1 radiation:1 cross:3 adverse:1 parts:5 φf:1 units:1 finite:5 ball:4 http:3 cubic:2 rightfully:1 absorb:1 receiver:1 upon:1 effect:4 infinite:6 php:1 off:2 center:1 well:21 backpropagation:2 sets:20 zalcman:1 arising:4 preprints:1 spherical:58 paus:1 less:2 tct:1 half:1 obtain:1 sources:2 rapid:1 bibliography:2 density:1 absorption:3 mathematically:2 add:1 oat:1 extends:2 developments:1 nanoparticles:1 identical:1 saturation:1 wavefronts:1 disappearance:1 term:1 increases:1 know:6 resolves:1 press:3 immediately:4 intersection:1 necessary:4 like:7 lost:1 popov:2 become:4 works:8 soft:1 soviet:1 grids:1 smoothly:3 choosing:1 peter:1 happens:5 lead:7 avoid:3 holmgren:1 does:13 assuming:3 limitations:2 conference:1 biology:2 inaccurate:1 reaching:1 journal:1 expansion:6 representable:1 pressure:11 although:6 stage:1 about:6 actual:1 extension:2 freedom:1 introduces:1 dependence:1 carries:1 simplification:1 insufficient:2 introduced:1 subset:1 equally:1 own:1 h0:10 functional:2 ultrasound:11 cancerous:1 weighted:1 tiny:2 ridge:1 additional:7 artifacts:1 pa:2 invisibility:1 notices:1 asymptotics:2 function:58 triggered:1 but:10 volume:1 repeated:1 contradictory:1 goals:1 hm:10 fg02:1 partially:2 count:2 made:2 whether:5 cells:2 variations:5 placed:4 below:7 frequency:5 distribution:4 piece:2 universal:2 correction:2 denote:4 ini:1 inc:1 functions:33 courant:1 variety:1 detail:1 koeffizienten:1 other:12 details:3 finch:5 illusion:1 stay:2 rakesh:5 photonics:2 resolution:6 apertures:1 biotechnology:1 |
0704.0287.txt |@word operations:1 represent:1 noyes:1 they:1 office:2 planetary:1 astronomical:1 supported:1 years:1 sources:1 scott:1 afterglows:1 during:1 keywords:1 only:1 contributions:1 its:2 aharonian:2 ground:1 regions:2 cut:1 based:1 dur:2 decay:1 energies:5 alamos:1 temporal:1 extra:1 had:1 goodman:1 apjl:1 sullivan:1 detected:5 extends:1 those:2 shoup:1 under:1 5e:6 absorbed:1 extensive:1 main:1 attenuated:1 over:1 indicating:1 gev:5 zhang:1 very:5 ipn:34 listed:1 l119:1 number:1 records:1 cruz:2 volk:2 background:2 hete:13 using:2 paradijs:1 apj:2 beginning:1 name:1 particle:1 level:1 did:1 university:2 arxiv:1 michael:1 ryan:1 into:1 bursts:9 each:1 found:3 smith:1 view:5 upper:3 slower:1 burst:5 ebl:2 mincer:1 energy:7 horns:1 some:1 dermer:1 up:1 detection:1 grbs:9 yodh:1 redshifts:1 duration:2 our:1 tev:2 out:3 spectral:2 error:2 eds:2 ul:2 wijers:1 nuclear:1 review:1 since:1 rz:1 experiment:1 above:2 abdo:1 xu:1 proc:2 3e:7 foundation:1 comparable:1 bold:1 conf:2 nature:1 seconds:1 team:1 component:1 confidence:1 casanova:1 understanding:1 water:1 reported:1 mev:3 california:2 here:1 santa:2 excess:1 detecting:1 refers:1 swift:40 7e:8 both:1 search:3 0e:14 carried:1 limits:2 institute:2 many:1 acknowledge:1 greater:1 range:2 fell:1 8e:10 absorption:1 efforts:1 kouveliotou:1 slightly:1 mcenery:1 gamma:10 first:1 duty:1 initial:1 cm:1 redshift:3 apr:1 annual:1 ca:1 within:1 integral:1 dedicated:1 parkinson:2 three:1 milagro:12 grants:1 references:1 least:2 dependent:1 table:3 aip:2 samuelson:1 linnemann:1 given:2 long:1 van:1 pw:1 los:1 come:1 there:1 due:2 been:4 their:1 much:1 1e:15 observations:2 maintenance:1 spike:1 astrophysics:1 degrees:1 ph:1 conclusive:1 was:2 national:2 williams:1 more:1 dots:1 hard:1 6e:11 instrument:1 hoffman:1 emission:10 041219a:1 batse:14 expected:1 construction:1 geophysics:1 labelled:1 known:1 implies:2 presented:1 than:3 present:1 wide:2 account:1 prototype:1 pacs:1 science:1 work:1 primack:2 second:1 us:1 air:1 column:7 while:1 erg:1 limit:2 9e:8 light:1 vhe:2 making:1 gives:2 000301c:1 hays:1 fluence:2 seven:1 atm:1 challenging:1 zenith:1 predict:2 abstract:1 moved:1 spectrum:1 evidence:3 sample:2 saz:2 single:1 numbers:1 showers:1 laboratory:1 allen:1 any:3 bepposax:1 ray:8 egret:2 rays:1 angle:1 no:4 trials:1 model:1 start:1 delay:1 field:6 high:9 other:1 grb:8 take:1 050509b:1 significance:1 department:1 detector:1 several:1 events:1 gonzalez:2 satellite:1 extended:1 galactic:1 see:1 though:1 models:2 after:3 counterparts:1 occurred:1 most:1 phy:1 important:1 inst:2 walker:1 significant:1 2e:9 astronomy:2 measured:1 heidelberg:1 dingus:2 cycle:1 atkins:1 astro:1 off:1 imply:1 sr:1 schneider:1 mészáros:1 so:1 searched:1 chiang:1 cherenkov:1 4e:8 physics:4 superscript:2 |
0704.0288.txt |@word limited:1 consider:5 switched:1 gupta:9 results:27 entropy:1 montr:1 computation:1 go:2 follow:1 issues:2 gr:1 increase:1 monomer:1 calculate:1 aug:1 reformulate:2 gorenstein:1 corrections:1 intensive:3 charge:1 monotonically:1 th:1 under:2 include:1 tc:2 applied:1 worse:2 very:15 lynch:1 desired:1 rise:5 focus:1 figs:1 difference:6 exact:2 partitions:4 2πmi:1 progression:1 presented:3 did:1 incompressible:1 t2:1 make:2 correct:2 large:16 solved:3 small:2 2πmt:3 upper:2 zi:12 periodicity:1 direct:1 approximation:4 zero:1 enclosed:1 further:1 implemented:1 canonical:117 even:4 established:2 what:5 errors:1 appear:3 sum:6 goes:1 waals:1 values:10 increasing:2 method:1 satisfy:2 full:1 pm1:5 pm2:3 whose:1 here:13 understanding:1 behaviour:1 reported:1 mev:29 them:1 c70:1 address:5 depend:1 equations:3 implicit:1 deduced:1 applicable:1 shift:1 study:3 larger:3 approaches:2 commonly:1 resulting:1 usually:2 suitable:1 changes:2 plotted:4 emerge:1 chomaz:1 useful:2 ix:1 discontinuous:1 merely:1 vii:2 increased:1 replace:1 addressed:3 decrease:1 translational:1 summation:2 total:2 enk:7 readily:3 plot:2 use:5 earliest:1 proceed:2 would:10 prove:1 distinct:1 contains:1 predictions:1 next:1 discrepancies:1 calculation:11 nucl:2 approach:1 characteristics:1 panel:3 type:11 mekjian:6 more:7 smeared:1 chapter:1 composite:13 binding:1 apparent:1 terminates:1 surface:5 sharply:1 particular:5 known:1 cases:2 encountered:1 iii:2 potential:4 must:1 high:1 collision:2 der:1 work:2 itself:1 obvious:4 temperatures:1 following:3 drops:1 conformity:1 example:3 proof:1 ions:1 omit:1 figure:1 give:1 predict:1 numerator:1 neglected:1 states:2 pushed:1 minimum:4 numbers:3 council:1 allowed:3 sharp:1 keep:3 species:5 huge:3 needs:1 answer:7 end:1 sphere:2 provide:1 discussion:1 six:1 dissociating:1 occur:1 chemical:7 how:5 methodology:1 pure:2 bimodality:17 chase:1 ensemble:22 upto:1 tension:4 b74:1 may:5 thermodynamic:8 after:3 derived:1 containing:1 applications:2 produce:1 fits:1 disassembly:4 data:2 fm:3 natural:1 outline:1 liquid:7 egr:2 fictitious:1 so:11 progressively:2 mcgill:3 order:4 worsens:1 typical:1 bidhan:1 breaking:1 lighter:1 nucleon:4 over:1 multifragmentation:2 course:4 thermal:1 experiments:5 through:1 looks:1 statistical:5 differs:1 existence:3 still:3 its:2 before:1 derive:1 freezeout:1 fit:1 ln:1 interesting:1 fix:1 decreases:2 actually:2 better:4 window:2 offers:1 systems:7 clusters:4 main:2 easier:1 correspondence:1 non:2 good:1 qualifier:1 fragment:21 outlined:1 largest:27 fig:13 break:1 kolkata:1 effects:1 they:3 das:12 now:6 discuss:1 easily:4 term:8 several:2 equality:1 publication:1 university:1 tran:4 2kmax:1 realistic:1 each:4 inherent:1 2n:1 side:3 mean:2 heavy:4 weighted:1 successively:1 directly:2 ek:3 series:1 energy:17 hard:1 related:3 solution:1 nuclei:1 arrives:1 expect:2 our:5 happen:2 beyond:1 eq:12 enclosure:1 out:6 canada:2 leave:1 shown:4 factors:1 rep:3 since:4 rev:9 cancels:1 research:1 particles:28 collisions:4 hill:1 max:3 denoted:1 formula:2 issue:4 occurs:7 shows:3 approached:2 fluctuates:1 interactions:5 free:2 quite:7 reason:2 york:1 rises:3 care:3 enormous:2 interaction:4 could:2 transition:19 times:2 motion:2 turn:4 signature:3 hence:3 undergo:1 think:1 first:10 already:3 features:4 probability:17 variables:3 number:40 reaches:1 channels:4 clear:1 done:3 construct:1 another:1 robust:2 reached:1 electronic:2 parametrisation:1 passes:2 given:14 derives:1 temperature:23 similarly:1 introduction:1 mcgraw:1 eqs:5 system:23 least:1 heights:1 needed:1 intermediate:1 brevity:1 calculations:7 structures:1 gives:1 kµ:1 relationship:2 iljinov:1 exactly:1 part:4 botvina:1 kept:1 translation:1 believe:1 versatility:1 knk:5 peaked:1 kind:2 showed:2 acknowledgement:1 measured:2 second:2 matter:2 were:3 india:1 result:10 basically:1 rewrite:1 c62:1 heaviest:2 mind:1 curves:1 dash:5 ω1n:4 flatness:2 seen:5 seem:1 constrained:2 2t8:1 complete:1 built:2 pursued:1 latter:1 able:1 maximum:2 note:3 sciences:1 causing:1 square:1 take:1 forming:2 switching:1 channel:5 regard:1 multiple:1 advances:1 normal:4 singles:1 falls:1 involving:1 plan:1 significant:2 formulae:4 phase:21 fluctuate:1 why:1 stands:1 sutton:1 average:19 partition:8 monomers:4 highlight:1 traditional:1 βei:1 principle:1 exp:7 kt:2 maxima:1 typically:1 section:9 fact:3 quantity:1 emerging:1 drastically:1 show:7 supported:1 terminate:1 converge:4 multiplicities:1 relation:3 subtle:1 trivial:1 d3:1 ground:2 postulates:1 specifically:1 occurring:1 ensembles:6 parameters:1 produces:2 state:3 than:5 only:8 unable:1 factor:1 adequate:1 thousands:1 etot:1 hope:2 equilibrium:5 meant:1 do:1 above:7 get:2 dependent:2 fluid:1 truly:1 marks:1 unimportant:2 nearly:1 closely:1 new:1 2mi:1 tsang:2 iw:1 resolve:1 densities:1 numerous:1 arxiv:1 summary:2 twice:1 reif:1 paper:6 common:1 ascertain:1 including:1 fixed:4 qn:20 ignored:2 set:3 computed:2 exists:1 freeze:3 see:6 computer:1 us:6 cyclotron:1 close:2 best:2 practice:1 interacting:1 nuclear:13 review:1 pm3:2 pressures:1 written:3 µn:1 µi:1 µk:2 between:13 limit:2 lowered:1 conditions:2 available:3 terms:5 right:2 however:1 key:2 fluctuations:4 bondorf:1 problem:2 both:8 σi:1 reverse:3 tractable:1 deals:1 region:5 infinitely:1 against:2 called:2 etc:5 connection:5 dated:1 expression:3 finds:1 experimental:2 arbitrarily:4 among:1 relevant:2 co:3 point:1 reasons:1 ca:2 bugaev:1 corresponds:1 height:1 pm:30 cp:1 cv:12 appeared:1 forms:1 described:3 three:2 been:5 appears:1 int:7 spread:1 equation:3 basic:1 expected:2 ph:1 choose:2 dots:3 generating:1 arises:2 quantities:3 formed:2 gas:9 requires:2 bulk:1 understand:3 representative:1 derivative:1 constructing:1 general:1 present:2 case:8 guarantees:1 look:2 pacs:1 solid:5 need:3 expanded:2 value:22 will:22 cast:1 near:1 substantial:1 viii:2 many:1 situation:1 resolved:1 h3a:1 linked:1 vi:2 thus:7 surprisingly:1 discrepancy:1 iv:2 ii:3 cluster:2 examined:1 aspects:1 disappear:1 greater:1 different:13 any:2 recursion:2 zgr:1 indistinguishable:2 same:4 clearly:1 parts:1 grand:63 elliott:1 finite:9 grows:1 higher:2 development:1 fairly:1 used:7 infinity:2 imply:1 again:6 dasgupta:1 numerical:1 upon:1 effect:1 possible:1 v0:3 ion:3 compared:4 uses:2 purpose:1 potentials:1 infinite:3 completeness:1 greiner:1 identity:2 recent:1 scaling:2 lower:5 narrow:1 off:2 center:2 c68:1 framework:1 makes:1 nonetheless:1 well:4 analysis:4 obviously:1 solve:1 sets:1 model:56 usual:2 βp2:1 just:1 less:3 c75:1 accurate:1 obtain:1 rest:1 vanishes:1 shape:2 questions:2 using:1 yes:1 previous:1 density:4 ease:1 minimises:1 had:1 except:4 sometimes:2 simple:2 other:7 combine:2 easy:2 extensive:2 heavier:3 excited:2 divided:1 identical:1 explained:1 dimers:4 around:3 big:2 breaks:1 tc2:2 february:1 increases:5 world:1 projects:1 apart:1 like:2 particle:20 sizes:1 follows:3 signal:1 noted:1 specific:8 serious:1 yields:1 starting:1 become:2 composites:6 nucleons:20 summarise:2 because:5 some:6 nagar:1 calculated:4 towards:1 evaluated:1 root:1 chaudhuri:3 scales:1 provided:1 vol:1 scale:2 recently:1 pinpoint:1 lead:2 demonstrates:1 per:7 trimers:3 defined:1 does:4 disappears:1 indication:1 fragments:2 demonstrated:1 c67:1 reaching:2 seconds:1 equivalent:1 jennings:1 agreement:2 pressure:13 display:1 although:4 instability:1 pv:1 refers:1 properties:2 takes:2 gained:1 comparison:1 about:2 works:2 actual:1 bimodal:2 sneppen:1 ωi2:1 discussed:3 dependence:1 o:2 range:2 2k:1 slightly:1 restrict:1 conserving:1 h3:3 into:7 within:1 bound:4 negative:1 included:1 appropriate:5 2v0:1 rising:1 reducing:1 significantly:3 c57:1 van:1 c52:1 intrinsic:2 there:9 question:1 approximate:5 long:1 mishustin:2 low:3 way:1 was:6 assumes:1 pichon:1 function:19 gaseous:1 eal:1 form:1 enough:1 fundamentals:1 simplifications:1 becoming:1 differences:4 but:23 sophisticated:1 volume:18 heat:8 kmax:37 link:1 goals:1 highest:4 true:2 considerable:1 partitioning:1 made:2 compute:1 places:1 versions:1 multiplicity:9 up:5 quantitatively:1 ωi:14 ωk:3 fermi:1 hand:1 demonstrate:1 distribution:15 define:1 similar:3 agree:2 detailed:3 later:2 constant:5 af:1 devise:1 certain:1 abstract:1 describe:1 proven:2 denote:1 intimately:1 engineering:1 exist:3 ini:4 formulation:1 distributions:1 ni:9 nk:44 paradox:1 ideally:1 no:4 na:1 nb:1 nc:1 when:13 detail:3 event:5 application:1 valid:2 details:1 becomes:1 department:1 conclusion:1 deviation:1 conjectures:1 kinds:3 getting:1 models:7 mechanical:1 probablity:1 important:1 nucleus:1 peak:1 n1:2 variable:1 gulminelli:1 gets:2 occurrence:2 implies:2 coulomb:5 assume:2 physics:12 curve:3 rule:1 equivalently:1 mass:18 dot:4 volumes:1 far:1 observables:1 n2:1 n3:1 expands:1 once:3 |
0704.0289.txt |@word angles:1 illustrates:1 caused:2 magnetic:4 thouless:4 splitting:1 gg:1 entropy:1 overlap:1 spaced:1 contributions:1 localized:1 increase:1 gases:1 calculate:1 tr:5 does:1 marks:1 worth:1 indicating:2 division:1 random:1 already:1 very:2 frequencies:1 activation:12 rise:2 results:3 balancing:1 experimentally:3 difference:4 condition:1 leads:1 clouds:1 presumably:2 selfconsistently:1 standards:2 large:3 small:4 upper:2 smaller:2 slower:3 occurrence:1 oscillation:1 consistent:3 estimates:1 sign:1 approximation:1 elegant:1 itself:1 cost:2 timescales:1 further:1 estimated:1 theory:1 even:2 what:1 errors:1 adds:1 appear:5 richard:1 current:1 axial:7 experiment:2 above:4 new:2 increasing:2 ever:1 contrast:2 3d:2 revealing:2 condensed:8 full:1 becs:5 error:3 spacing:2 residual:2 here:1 atoms:7 selective:1 expansion:1 mes:1 alone:1 coupling:3 observing:1 appears:1 box:1 almost:1 institute:2 shift:2 study:4 studied:1 allows:1 resulting:1 shaded:1 studies:1 plotted:2 diameter:2 via:1 useful:1 scales:1 vii:3 highly:1 visible:2 flexibility:1 decrease:1 condensates:6 counts:1 total:2 cloud:3 plot:1 use:2 indicated:2 would:1 distinct:2 positive:1 contains:2 predictions:1 tightly:8 few:1 magnification:1 therefore:2 averaging:1 survive:2 e2:1 theoretical:1 possible:1 more:4 1nm:1 becomes:1 envelope:1 carrying:1 normalized:1 varying:4 iii:6 high:1 account:2 language:1 tunnel:3 equation:1 work:3 measures:1 remain:2 bias:2 values:3 temperatures:4 ms:10 burnett:1 following:2 cond:1 spontaneous:1 scatter:1 control:1 areal:1 compare:1 figure:4 calculation:1 lock:1 choice:1 sample:1 beautiful:1 counterrotating:1 numbers:2 tions:1 counting:2 occur:5 junctions:1 absolute:1 information:2 varied:2 turn:1 helium:1 acts:1 roughness:1 chemical:2 hot:9 gati:1 adjacent:2 axis:6 parameter:1 charging:1 circular:1 profile:4 mat:1 may:3 quantified:1 after:4 different:4 bkt:8 fa:1 plane:4 fits:1 destructive:1 data:10 grow:1 lifting:1 kurn:1 radzihovsky:1 attempt:1 collective:1 liquid:1 lines:1 circularly:1 ones:1 negligible:1 allow:3 decreasing:3 order:1 ec:2 fastest:1 remnants:1 developed:1 over:6 vary:1 thermal:14 experiments:4 through:2 signs:1 cold:8 its:4 before:3 controllable:1 fit:3 decay:4 interesting:1 lm:1 edge:2 destroyed:1 production:1 microscopic:1 systems:2 insulator:1 recombined:1 defining:1 image:5 them:2 good:1 junction:2 greater:1 conversations:1 greiner:1 noticing:1 repulsive:1 effects:4 they:2 now:2 hall:1 nor:1 represents:2 february:1 finite:3 indeed:2 fully:1 university:2 loosely:5 2d:11 merge:1 trap:6 each:5 energetically:1 mean:6 downshift:1 successively:1 short:1 there:2 energy:7 sov:1 related:1 quantum:3 our:14 approximated:1 description:1 rt:2 shown:3 induces:1 rz:6 particles:1 modulation:1 mediated:1 dominated:2 hill:1 rb:1 suggesting:1 schweikhard:1 occurs:1 shows:10 dataset:1 plotting:1 earlier:1 linear:2 barrier:2 interactions:1 favored:1 midpoint:2 free:14 standard:1 grimm:1 formation:3 imaging:2 estimate:1 rises:1 jila:1 compression:1 hence:1 pairs:21 interaction:1 r2:1 created:1 starts:1 transition:1 times:2 motion:1 initiate:1 length:1 barriers:1 onto:1 top:2 first:2 twodimensional:1 surviving:5 reconnected:1 potentials:1 number:11 randomized:1 unexpected:1 resnick:1 defects:2 directly:2 crit:2 array:15 precisely:1 jja:3 size:10 long:3 temperature:4 introduction:1 gpe:3 condensate:13 waist:1 system:12 ripples:1 their:5 confirming:1 expand:1 white:1 cycle:1 sensitivity:1 observations:1 collapse:1 continuous:2 serve:1 optical:13 somewhat:1 kept:3 than:5 intrinsically:1 center:2 wide:1 leggett:1 determines:1 bec:7 superconductivity:1 see:4 limiting:1 annihilation:3 matter:1 determined:2 providing:1 pre:1 hz:3 correction:2 unbinding:3 curves:1 crossover:2 winding:1 variable:1 seen:1 hexagonal:3 occupied:1 clearly:3 vulnerable:1 relatively:1 mapping:3 latter:1 isolated:1 mechanism:4 polarization:1 extracted:3 fitting:1 potential:6 take:4 so:2 victor:1 stringari:1 inhomogeneity:3 opposite:1 probed:3 object:1 sequence:3 wells:1 petrov:1 connected:1 phase:20 measured:5 probes:1 subtracted:1 neighboring:1 average:2 inferred:3 uncondensed:3 bins:1 exp:1 physics:2 quantity:1 thomas:1 shot:1 show:2 text:1 probe:3 funded:1 dipole:1 simula:1 saturated:1 longer:1 d2:2 find:2 d1:1 symmetric:1 slow:6 based:1 just:1 true:1 thermodynamically:1 only:9 factor:2 acknowledge:1 employed:1 circle:1 local:1 accurate:1 boulder:1 do:2 triangle:1 intersect:1 beams:1 routine:1 overall:2 datasets:3 longest:1 distinctly:1 during:1 respectively:1 averaged:4 arxiv:1 whether:1 investigate:1 stamper:1 double:4 including:1 fixed:2 berezinskii:4 nist:1 pitaevskii:2 reveals:1 bars:1 national:2 fictitious:1 relative:5 intensity:5 proliferation:4 bare:1 result:1 enhanced:1 phases:4 axially:1 gurarie:1 complementary:1 sites:6 µm:2 enough:2 smallest:4 µk:1 between:10 crude:1 limit:2 neither:1 approach:1 across:1 available:1 comparable:1 terms:1 nature:3 suppresses:1 however:1 signaled:1 york:1 selectively:1 no:1 distinguish:1 bose:7 configuration:5 both:7 cos:1 region:3 uncertainty:1 ramp:26 according:2 dated:1 exceeds:1 variance:1 experimental:6 otherwise:1 among:1 adjusted:1 timescale:7 point:1 period:2 leo:1 height:2 dimensional:1 probing:1 exploit:1 respect:1 suppressing:2 hadzibabic:1 strong:1 raise:1 second:1 due:9 been:1 quickly:1 reduction:1 much:1 basic:1 collected:1 pk:1 fig:20 obtained:4 arises:1 coherence:3 gas:1 bulk:1 observe:2 determination:2 specifically:1 systematic:3 javanainen:1 former:1 present:1 laser:1 josephson:8 pacs:1 appearance:1 value:1 will:1 while:3 behavior:1 applies:1 irrespective:1 tunneling:2 couplings:1 procedure:1 opt:1 larger:6 costly:1 coupled:3 vol:14 characteristics:1 simulations:8 thus:4 site:1 ii:7 superconducting:1 vs:5 mott:1 technology:2 7µm:2 φq:1 confirmed:3 φt:1 perhaps:2 saw:1 make:1 cross:1 same:3 tells:1 fill:1 infer:1 higher:1 independent:2 used:1 tinkham:1 numerical:1 flows:1 hand:2 compared:2 distinction:1 robust:1 tung:1 bergeman:1 tune:1 recent:1 lower:4 narrow:1 off:1 modes:1 surrogate:1 minimize:1 onedimensional:1 calibration:1 well:8 roughly:1 without:1 simulated:2 quantitative:4 safonov:1 quoted:1 less:2 observed:5 obtain:1 underlying:2 thermometry:1 jetp:1 spatially:1 macroscopic:1 adv:1 density:15 cornell:1 signals:1 lattice:18 concerns:1 lett:10 constant:2 extensive:1 polarized:1 remaining:2 identical:1 makes:1 saturation:1 fluctuating:1 around:6 comparing:1 harmonic:1 dark:2 know:1 background:2 mol:1 mod:1 multiply:1 sizes:2 naraschewski:1 follows:1 qualitative:1 adiabatic:1 vortex:49 yields:1 multiplicative:1 mcgraw:1 downward:1 reduced:1 accessible:1 because:1 vortices:39 successfully:1 competition:1 imaged:1 loaded:1 images:2 transport:2 provided:1 scale:1 dimensions:1 illustrated:1 confirm:1 broad:2 avoid:1 measurements:2 per:2 critical:1 provides:3 nondestructive:1 core:1 noise:2 slight:1 radial:2 communicate:1 agreement:1 antivortex:10 pressure:2 offset:2 comparison:3 central:7 column:1 ob:1 range:5 plus:1 greatly:1 neighbor:1 observation:1 other:1 block:1 rev:15 trombettoni:1 colorado:3 into:5 within:3 bound:16 nsf:1 three:2 down:15 pair:3 right:2 scherer:2 determine:1 einstein:2 tilted:1 mrad:2 theoretically:2 uncertainties:2 blakie:1 fast:3 log:3 area:3 placing:1 transform:1 spots:3 ramps:5 width:6 low:3 fraction:1 was:2 function:2 superfluids:3 differences:2 but:7 subjective:1 expected:4 illuminating:1 gain:1 survived:1 automated:2 dissipative:1 partially:1 count:2 ωx:1 ωz:1 annihilate:3 circulation:5 arrays:3 rate:1 inside:1 smooth:2 up:3 quantitatively:1 until:1 nearest:1 below:5 converted:1 fermi:1 fluctuations:15 distribution:1 define:1 detailed:1 khz:2 diverges:1 associated:3 ananikian:1 defined:2 curve:5 universal:2 slowing:1 evidence:2 duration:2 single:1 antivortices:1 exist:1 wavelength:1 distributions:1 jaksch:1 regime:7 nk:10 us:1 variety:1 whereas:3 when:2 inset:4 elemental:1 field:7 points:1 spatial:4 department:1 conclusion:1 picture:1 proliferate:2 gross:1 smoothly:1 includes:1 allowing:3 suppression:1 superconductive:1 building:1 independently:1 faster:1 uncoupled:1 thermalization:2 required:1 holes:1 phonon:1 confinement:2 4j:1 time:7 cores:2 kosterlitz:4 inc:1 |
0704.0290.txt |@word equalmass:1 monte:11 code:2 heggie:13 pairing:1 dissolution:2 comparatively:1 results:24 alerting:1 existing:1 four:6 known:1 higher:5 edu:1 follow:2 causes:1 increase:16 certainly:4 terms:5 calculate:1 million:1 hovers:1 tr:2 young:1 messineo:1 environment:1 finally:2 does:9 preserved:2 determinations:2 under:1 inwards:3 analogous:1 include:5 indicating:1 sinking:1 case:8 supported:1 outside:6 very:2 frequencies:8 aarseth:14 ostriker:2 sigurdsson:1 focus:1 baumgardt:2 fan:2 figs:1 anonymous:1 affect:2 little:4 continued:1 encounter:3 cool:2 entire:2 dominate:3 obvious:2 evolved:6 level:3 did:3 positions:1 michael:1 prolonged:1 enon:5 skewed:1 large:8 asp:4 yale:1 small:6 3b:1 drop:1 noted:2 related:2 favoured:1 upper:2 encloses:1 cap:1 neighborhood:2 plummer:1 ten:1 incremented:1 trend:3 consistent:2 direct:3 literature:1 past:1 located:1 likely:12 street:1 timescales:1 dordrecht:2 further:2 dynamics:5 carlo:11 columns:1 davis:1 theory:2 blue:3 harden:1 what:1 lists:1 hide:1 appear:3 rate:13 section:4 ast:1 while:5 supplied:1 agrees:1 current:6 8b:2 anywhere:1 abt:2 above:4 fractional:1 replicated:1 new:7 3a:4 increasing:8 boost:1 method:1 contrast:2 movement:5 body:32 completion:1 full:2 escaping:1 ms:4 exchange:28 indicates:2 proper:1 component:2 residual:1 here:6 behaviour:7 reported:4 fairly:1 velocity:5 sink:2 separation:4 excess:2 represented:1 grape:2 along:1 quite:2 substantial:1 change:4 contraction:1 box:1 notably:1 hansen:1 institute:1 involved:2 study:1 larger:1 allows:1 commonly:1 adopt:1 significantly:1 prior:3 preferentially:1 survey:2 definitively:1 published:2 usually:1 formation:5 residents:1 changes:1 pairings:1 vic:1 casertano:2 useful:2 ratios:1 scales:3 apr:1 madingley:1 9b:1 marked:1 highly:2 expect:3 coinciding:1 decrease:2 apply:1 total:5 tools:1 select:1 segregating:1 fregeau:1 use:4 rises:3 indicated:1 would:17 physics:1 remains:5 positive:1 comments:1 how:1 predictions:1 periastron:2 discrepancies:1 shara:11 noting:1 m4:1 therefore:1 shed:1 taken:1 scope:1 stage:2 type:1 until:1 diagrams:1 more:27 fractions:13 flat:2 compensated:1 excluded:1 upcoming:1 populations:8 started:4 initial:23 apparent:1 corrected:1 occurred:1 disruption:10 visual:1 interaction:3 discrepancy:1 sharply:2 particular:2 eccentricity:1 fitchett:5 misconception:1 potential:1 must:5 abundance:1 evolves:16 account:1 mc:7 effectively:2 science:1 setup:7 work:5 rood:2 reproduce:1 makino:6 easier:1 minimum:3 nine:1 merged:1 cam:1 zams:2 following:1 making:2 centrally:1 example:8 history:2 compare:4 figures:2 figure:43 give:4 process:11 stetson:1 referee:1 neglected:1 rc:1 weinberg:1 respective:1 high:5 collision:4 ivanova:17 performed:5 degenerate:4 sharp:3 dramatic:1 occur:2 working:1 creates:1 regularization:1 end:10 goal:1 provide:2 divided:1 means:3 globular:20 conducted:3 revisit:1 regions:10 dependent:2 vital:1 low:1 reject:1 instead:1 those:1 axis:1 circular:1 profile:2 lan:1 continues:1 galactic:4 intended:1 haven:1 may:7 reconciled:1 earlier:2 derived:2 orbits:3 sophistication:1 halted:4 consequence:1 membership:2 produce:2 designed:1 coming:1 date:1 summarize:2 choice:2 meaningful:2 types:2 efficiently:1 purchase:1 short:2 natural:2 duquennoy:3 effective:2 m67:4 belczynski:1 light:2 quoted:2 partly:1 separations:4 exhibited:1 rather:3 cannot:2 so:21 series:2 allow:1 decreasing:5 worst:1 subsequently:1 looking:1 order:11 bins:2 typical:4 restriction:1 acts:1 produces:1 excludes:1 indeed:1 over:8 move:2 vary:3 choose:2 produced:1 course:2 thermal:1 paper:3 looks:1 mentioned:1 kinetic:3 still:1 mayor:4 galaxy:3 before:5 observational:2 difference:6 outer:4 thank:1 imf:4 chosen:3 exact:2 masses:4 striking:2 decreases:5 actually:1 late:4 combines:1 primordial:75 differently:1 relate:1 bin:1 clusters:31 main:11 might:1 alter:1 halfmass:1 eventually:2 non:2 within:6 affected:2 halt:1 combination:4 trh:2 bellazzini:2 safe:1 evolution:58 ruled:2 primary:1 break:4 lesser:1 indicative:1 effects:6 they:12 half:24 documented:1 now:1 day:1 halo:1 monaco:1 itself:1 later:1 brightness:1 always:2 university:5 presented:7 rh:2 realistic:4 good:1 magnitude:5 stopped:1 2a:2 2b:1 system1:1 linked:1 found:6 repeating:2 residing:1 francisco:2 mean:2 few:1 bright:3 schemes:1 another:4 due:1 reference:3 ed:5 energy:6 hard:13 reduce:1 used:9 contracting:1 frequency:20 static:3 remove:2 entering:2 changed:1 our:34 beyond:1 davies:3 event:5 neighbourhood:2 out:10 leave:1 shown:18 termination:1 unbound:1 restricted:1 furthermore:2 lagrangian:11 projected:4 content:8 collisions:5 extrapolate:1 rise:1 dominated:3 fleck:2 disappear:1 appreciably:2 denoted:1 perturbed:4 induced:4 cause:4 occurs:2 shows:12 sbp:2 after:10 linear:1 risen:1 interactions:20 k100:67 wilkinson:3 8a:2 given:5 possibility:2 standard:1 reason:3 necessarily:3 swinburne:1 york:1 members:8 ask:1 org:1 estimate:1 earliest:1 likelihood:1 inevitable:1 curtailed:1 additional:1 definition:1 hardware:1 backwards:1 regarding:2 created:7 via:3 determining:1 could:5 inward:1 fb:17 consequences:2 times:14 motion:2 american:2 4th:2 place:1 massive:9 threat:1 transfer:2 kroupa:7 moving:1 repeats:1 outwards:6 9a:1 first:4 exotic:1 edward:1 major:2 mcmillan:7 idealized:1 scaling:1 mapelli:2 omitted:1 assumptions:1 number:36 reaches:2 references:1 utilized:1 set:4 done:2 least:3 directly:3 kicked:1 depleted:2 reached:4 fluxes:1 open:9 size:7 roche:1 differ:1 perturbation:3 udry:1 findings:1 correlation:2 start:4 introduction:1 data:9 top:4 achieved:1 moderately:1 hoffleit:2 approximately:3 heights:1 1a:4 their:12 returns:1 1b:1 rates:2 observations:8 calculations:3 iau:2 norton:1 recent:1 ranging:1 discussion:4 fraction:89 relationship:2 acquire:1 park:1 wielen:2 nearing:1 hut:28 tucanae:5 because:4 gyr:28 somewhat:1 attempt:1 than:26 semantics:1 population:25 begins:2 relative:7 scheme:1 gradual:1 showed:5 princeton:2 sections:1 enabled:1 second:1 modelled:1 smoothed:2 preparation:1 determined:1 doubly:1 aas:1 were:31 trenti:4 pasp:2 gives:4 termed:1 sills:1 pre:4 eggleton:5 7d:1 7c:1 7b:1 7a:2 remained:3 ran:1 lines:2 dynamically:1 radial:5 spectrum:1 conference:2 mateo:1 supercomputing:1 headings:1 tremaine:3 cleaned:1 need:2 seen:1 seem:1 confirms:1 saw:1 any:8 relatively:5 subsystems:1 phinney:1 nb:3 zero:1 pc3:1 efficient:1 uncorrelated:1 self:2 isolated:1 apj:11 cent:1 note:23 goodman:3 internal:3 take:3 simplified:1 destroy:3 techniques:1 supporting:1 greatest:1 even:7 towards:7 centre:8 track:2 replenished:2 object:2 reach:1 systems:1 wells:1 extending:1 experiences:1 rejected:2 significant:3 comparisons:2 phase:13 competing:1 binney:3 extremely:1 amax:1 peaked:1 resident:1 dissolves:1 tidally:1 considered:3 average:12 hurley:17 focussing:2 drive:1 km:4 counted:1 arenou:1 definitely:1 con:1 pattern:2 recoil:3 left:2 its:2 width:1 fact:4 segregation:9 comprises:1 particularly:1 show:13 lack:1 random:1 radii:5 evolutionary:1 relation:1 astrophys:1 d4:1 uniform:3 find:8 impact:1 indicator:1 highest:1 ratio:7 knowledge:2 parameters:4 ngc:1 merger:1 escaped:4 explain:1 dynamical:13 proportion:1 enough:1 should:1 values:1 only:9 rich:2 factor:7 constant:3 local:2 interested:1 perturbations:6 equilibrium:1 exchanged:1 do:9 mixture:1 dominant:3 distance:3 straggler:2 compiled:1 timeframe:1 overall:6 expectation:1 imparted:1 aim:1 boily:1 state:1 containing:2 exchanges:3 during:6 respectively:1 net:1 becomes:3 processes:14 de:3 densities:2 encounters:16 arxiv:1 cycled:2 yield:1 summary:1 twice:5 investigate:4 underlying:1 common:1 though:2 double:3 albeit:1 every:1 fortunately:1 paradoxical:1 gibson:1 mergers:11 intervening:1 ongoing:1 omission:2 concert:1 exists:1 burst:1 imposing:1 problem:1 0ha:1 maximum:6 observed:6 ara:1 see:29 individual:2 radius:53 result:17 enhanced:1 close:12 discriminating:1 timestep:1 facilitates:1 subject:5 closer:1 invoked:1 capacity:1 keep:1 position:1 tenc:2 subsequent:2 review:2 increased:5 tend:3 swapped:1 macros:1 catalogue:2 invokes:1 markedly:1 between:17 affecting:1 drawn:5 boundary:9 previous:2 conditions:3 across:11 k24:21 objects:1 comparable:5 recently:5 creating:1 extend:3 nature:2 initially:5 supernova:3 identical:1 however:21 blame:1 mackey:1 key:4 virial:1 come:1 stragglers:1 suggested:2 both:7 outcome:2 last:1 concentrated:1 limits:3 many:5 region:1 density:30 heating:1 agree:2 ln:3 colpi:1 became:1 tout:12 utilising:1 pryor:1 interesting:1 exceeds:2 distinction:3 contribution:3 argue:1 finds:1 meylan:3 sake:2 detailed:2 presumably:1 unclear:1 pols:2 extent:1 timescale:5 point:8 reasons:1 relaxation:7 period:10 harbour:1 sampling:2 dimensional:3 l29:2 m12:1 simply:1 exhibits:1 consideration:1 wider:2 table:5 throughout:1 panel:2 speak:1 considering:1 destroyed:11 most:7 described:2 raise:1 leads:2 pericentre:2 addition:1 west:1 create:3 rasio:1 three:5 been:14 mark:2 pc:13 reduction:1 production:2 combined:1 contained:1 expected:8 ph:1 fig:13 obtained:2 life:6 lived:1 corresponding:3 deeper:1 verbunt:1 dashed:9 quantities:1 formed:4 gas:1 softest:1 hayashi:2 observe:1 determination:2 decreased:2 kicks:4 v5:1 evidence:1 assigning:1 former:1 present:3 aid:1 applied:3 exception:1 50m:1 irregular:2 supernovae:2 twenty:1 solid:12 hoc:1 reliable:1 ejection:3 lobes:1 value:12 act:1 will:18 healthy:1 near:5 dufour:2 replaced:1 situation:2 balance:1 fluctuating:2 manner:1 real:2 sizeable:1 brewer:1 almost:3 characteristics:1 von:2 t1:1 thus:17 surface:1 equal:1 helped:1 cluster:118 swin:1 owing:13 contradiction:1 ramifications:1 lifetime:2 convection:6 confident:1 technology:1 examine:1 greater:18 orbital:16 binary:185 different:1 recover:1 eccentricities:1 resided:1 perform:1 pecci:1 make:9 cumulative:2 indistinguishable:1 same:9 clearly:2 unity:1 deiters:1 contain:1 resulting:1 fill:1 events:6 considerations:1 difficult:2 independent:1 investigated:1 eccentric:2 effect:9 hand:1 uses:1 purpose:1 saturate:1 elapsed:1 shortperiod:1 expand:1 destruction:7 recognized:1 lower:5 weakly:1 center:1 scenario:1 acknowledge:1 colour:1 no:9 well:4 roughly:1 analysis:3 intervals:3 displacing:1 without:3 comes:1 components:2 corporation:1 san:2 claims:1 model:61 binaries:188 latter:2 realised:1 spherical:2 angeli:3 nc:3 algorithms:1 just:2 less:18 being:6 generally:3 ups:2 detail:1 assigned:1 press:3 relevant:1 aspect:1 monographs:1 followed:3 speed:1 yet:1 reduced:7 sampled:2 generous:1 preprint:1 kluwer:2 ny:1 rose:1 conclude:1 had:12 except:4 discuss:1 source:1 onwards:2 treatment:1 collapse:17 hermite:1 input:1 extensive:1 heavier:1 remaining:3 enact:1 associations:1 saturation:2 australia:1 around:3 possible:4 corresponds:2 early:2 test:2 increases:9 five:2 private:1 birth:4 unlikely:1 using:4 occurring:3 loss:6 overriding:1 necessary:1 helpful:1 lost:10 identifying:1 follows:1 velocities:3 forestini:2 translates:1 utilised:1 continue:2 either:2 overtake:1 resolved:2 become:3 soft:17 essential:1 suddenly:1 replacement:1 mathematical:1 indications:1 destroying:1 old:2 methods:2 deal:1 sequence:2 creation:6 some:4 back:3 bounce:1 calculated:5 experienced:4 gilmore:5 choosing:3 escape:9 oscillations:1 extended:1 neglecting:2 pronounced:2 scale:1 represent:1 lead:9 merge:1 support:1 broad:1 avoid:1 measurements:1 recorded:1 integration:2 per:1 depletion:4 critical:3 provides:3 assuming:1 fusi:1 beccari:1 ibata:1 moderate:4 proc:2 numbers:3 minimal:1 refer:4 core:185 incidence:2 tej:3 reaching:1 journal:1 each:16 aj:3 agreement:2 stellar:30 broken:6 projection:2 symp:2 arv:1 prevalent:1 although:6 offset:1 tidal:7 post:1 prepared:1 dictated:1 properties:4 noisy:1 comparison:7 about:13 central:11 boards:2 constraint:1 column:4 possenti:1 based:2 discussed:3 label:2 o:4 simulation:68 distinct:2 range:5 misleading:1 exotica:1 greatly:1 steadily:1 fahlman:1 eight:1 introduced:1 slightly:2 road:1 cutoff:1 equally:1 cambridge:6 final:5 presence:4 previously:5 communication:1 into:4 preliminary:1 bound:1 observatory:1 dataset:1 outward:1 weighted:1 accounts:1 capped:1 primarily:4 balanced:2 binding:1 quickly:1 shrinking:1 often:1 realisation:1 statistics:1 log:4 comparing:2 assumed:5 museum:2 there:18 question:1 ns:3 long:1 smoothing:1 dispersion:3 intention:1 confrontation:2 much:5 inner:6 stars:77 irrespective:1 astrophysics:2 was:24 naturally:2 function:5 considerably:1 underestimated:1 complete:1 form:2 latex:1 phenomena:1 becoming:1 differences:2 but:16 astro:1 link:1 gain:1 solar:5 mnras:11 adopting:1 line:31 removed:2 true:6 gnedin:2 especially:1 count:2 gravitating:1 evident:2 whether:1 stabilizes:1 gravitational:10 up:19 us:4 mobile:1 below:5 astrophysical:1 limit:2 uk:2 nearby:1 fluctuations:2 distribution:26 similar:14 clear:3 regimes:1 strongly:2 ac:1 interval:7 associated:1 ad:1 stripped:1 abstract:1 myr:15 moved:3 direction:1 deep:1 general:7 fly:1 single:37 diverse:1 au:10 periods:6 simulations:34 accounting:2 face:1 distributions:4 proceeds:1 regime:1 again:3 continually:1 compared:7 entirely:1 dotted:12 variety:2 way:2 whereas:3 ejected:3 when:13 siess:2 scaled:2 field:6 ferraro:1 other:5 kalirai:1 details:4 normal:1 better:1 department:1 borne:1 piotto:3 conclusion:1 deviation:1 picture:1 briefly:1 repeat:1 star:25 respects:2 models:35 radially:1 bottom:1 variation:1 includes:2 cb3:1 metallicity:2 important:6 halbwachs:2 peak:3 cores:2 included:4 dense:2 astronomy:1 seeing:1 richer:5 explosions:1 tailored:1 correlated:1 algorithm:1 assume:5 starting:13 age:7 required:3 curve:1 orbit:1 rule:1 indirectly:1 4n:3 look:1 depth:1 transient:1 mass:48 lives:1 time:21 far:2 understand:2 bolton:2 original:1 provided:1 once:1 |
0704.0291.txt |@word limited:2 sci:2 consider:2 represent:1 rev:19 magnetic:6 desirable:1 results:4 leads:1 quadrature:1 torii:1 edu:1 whose:1 calculate:3 paris:2 tw:5 gp:2 waveplate:1 bragg:1 squeezing:1 under:1 rangwala:1 cm2:1 sent:1 far:4 frequencies:2 continues:1 brossel:1 induce:2 wave:1 electron:1 paraboloid:1 fall:3 difference:3 level:2 diverging:3 t2:1 solution:1 leave:1 excellence:2 small:1 optics:1 equation:1 phillips:2 upper:1 ruostekoski:1 dilute:1 ten:1 ritter:2 pulse:1 cosh:1 approximation:1 located:2 likely:1 populating:1 pass:2 further:1 even:2 trapping:9 rate:2 section:1 axes:3 lhomond:1 axial:1 experiment:3 above:5 new:1 falling:1 increasing:1 waveguide:1 method:1 3d:2 full:1 respectively:1 here:1 atoms:19 water:2 operating:2 andrews:1 others:1 lutwak:1 along:6 strong:2 change:1 morrison:2 great:1 stark:1 splitting:1 receive:1 shift:1 allows:2 approaches:1 prior:1 resonance:2 studies:1 emerge:1 via:4 useful:1 app:1 highly:2 scaled:1 frame:1 condensates:1 esslinger:5 use:5 eye:1 wealth:1 waveguides:1 predictions:2 france:1 therefore:5 m2:1 taken:1 australian:3 kick:14 theoretical:6 more:1 separated:1 introducing:1 formally:1 riou:4 becomes:2 stable:2 emission:2 validity:1 kohl:1 varying:1 insights:1 states:1 mf:3 locked:1 integrating:1 mm:3 science:2 setup:1 mn:1 oscillator:1 mw:2 bias:3 hope:4 ms:3 following:2 example:1 control:1 council:2 give:1 calculation:1 boseeinstein:1 high:5 kuga:1 numbers:1 degenerate:2 dennis:1 axis:2 summers:1 drained:1 acts:2 ultracold:1 how:1 instrum:1 plus:1 sin:1 profile:4 simplicity:1 product:2 may:3 aom:2 after:4 produce:5 deviates:1 minimizes:1 data:2 kurn:1 waist:6 third:1 light:2 aoms:3 ghz:1 neglect:1 negligible:3 allow:1 operate:1 order:3 worsens:1 typical:1 canberra:1 produces:1 over:3 flips:2 produced:8 thermal:1 experiments:4 through:5 lasers:13 differs:1 kinetic:1 still:1 excitations:1 its:2 asymptotes:1 le:1 thank:1 fit:1 directional:1 production:1 systems:1 rabi:1 couplers:1 controllably:1 them:2 good:1 nonideal:1 greater:2 prevented:1 mølmer:2 practice:1 paraxial:2 repulsive:1 effects:2 they:1 maintaining:1 kozuma:3 term:1 ruth:1 stabilize:1 university:1 hamiltonian:1 magnitude:1 mode:3 each:3 found:1 higher:1 mean:1 retter:1 directly:2 series:1 energy:1 gaussian:2 inverted:1 interferometer:1 frequency:10 measure:4 substantially:1 our:9 becs:2 transitions:2 extract:1 ketterle:1 large:2 shown:5 dominates:1 funding:1 driving:1 space:4 quasicontinuous:1 since:2 crucial:2 research:3 particles:1 rf:12 rb:1 zehnder:1 cause:1 oscillators:1 bouyer:5 foundation:1 numerical:1 theory:1 interactions:3 divergence:5 free:3 standard:2 completely:2 base:1 imaging:2 johnsson:2 org:1 enormous:1 interaction:4 outcoupled:6 could:1 transition:6 turn:1 plane:3 massive:1 removing:1 hence:1 view:1 condensate:29 mills:1 first:2 humboldt:1 ignored:1 number:5 done:1 fast:1 another:1 reached:2 precisely:1 quality:16 horizontal:1 given:1 siegman:1 checked:1 publication:1 top:1 system:3 approximately:1 heights:1 cooling:1 realization:1 scheme:2 national:2 townsend:1 gives:1 trapped:1 continuous:2 transverse:7 released:1 optical:5 sugiura:1 x0:6 than:7 modes:1 distance:1 effective:1 prevent:1 bec:17 require:1 second:3 final:1 determined:2 amplitude:1 were:2 enables:1 raman:22 pro:1 gerbier:2 curves:1 crossover:1 anu:1 substantial:1 unaffected:1 orders:1 eq:4 angle:2 built:1 able:1 gravity:2 note:1 matthew:1 ideal:2 potential:3 online:2 so:5 switching:2 hyperfine:1 heisenberg:6 fundamental:2 centre:2 reach:4 haine:2 optimized:1 propagate:2 letter:3 phase:4 outcoupling:19 measured:2 kilohertz:1 acknowledges:1 observation:1 url:1 calculated:2 steady:1 drifts:1 principle:1 clean:1 velocity:1 kx:1 typically:1 thomas:1 intensity:2 show:6 supported:1 evaporation:1 earth:1 kx2:1 find:4 principal:1 impact:1 optique:1 ratio:1 parameters:2 brighter:1 only:9 version:1 generators:1 factor:6 local:1 oct:1 achieve:1 untrapped:1 beams:15 truly:1 beam:36 delannoy:1 longest:1 dx:1 supplies:1 report:1 mgz:1 ds:1 alexander:1 stability:2 evolution:1 arxiv:1 mewes:1 gram:1 double:2 including:1 gravitational:1 approaching:1 rms:2 set:1 thesis:1 sensitivity:1 correlations:1 up:4 see:2 discussions:1 close:3 coils:1 hagley:3 ieee:1 ritt:1 diode:1 µs:1 µm:3 state:6 future:2 between:7 limit:9 anti:1 sections:1 weak:4 however:4 configuration:2 improve:1 coq:3 both:5 providing:1 improved:7 many:3 gaebler:1 equal:1 zeeman:3 propagation:3 improves:1 whole:1 experimental:9 ohl:3 cm:6 point:3 reasons:1 address:2 corresponds:2 height:2 dimensional:2 guerin:2 simply:1 respect:1 runaway:1 deng:3 pp:1 basis:1 addition:1 px:3 due:2 been:1 quickly:1 ansch:2 increase:1 much:1 combined:1 quic:1 josse:2 ph:2 fig:12 dots:2 field:9 direction:1 corresponding:2 transferring:1 photon:5 precision:3 coherent:2 ensuring:1 external:1 spin:2 present:2 case:1 multi:1 laser:44 pacs:1 solid:5 profiles:1 will:6 while:1 supercomputing:1 momentum:5 behavior:1 freely:1 guide:1 coupled:1 von:1 wkb:1 non:2 surface:4 coupler:1 itself:2 against:1 vx:2 affected:2 busch:2 different:1 develop:1 fibers:1 cross:2 same:2 adverse:1 split:1 schematic:1 several:1 difficult:1 development:1 used:1 http:1 laboratoire:1 trajectories:2 effect:3 running:1 moving:1 potentials:2 entanglement:1 tighter:1 recent:2 interferometers:1 lower:1 weakly:1 off:1 center:9 well:1 weitz:1 greatest:1 very:1 position:2 model:5 collimating:1 distances:3 just:1 less:4 percent:2 wren:1 rotated:1 shape:1 financially:1 atomic:5 aspect:6 robins:4 letting:1 polarization:3 density:1 absorption:4 photons:2 had:1 wen:1 improvement:2 color:2 spread:2 lett:11 kastler:1 wiseman:1 remaining:1 match:1 australia:1 showing:5 traps:2 possible:8 cf:1 increases:4 using:11 richard:2 electronic:1 alternatively:1 performing:1 ignore:2 flux:1 mhz:1 output:8 downward:1 works:1 reduced:4 cooled:2 function:4 www:1 because:4 classical:3 sequence:1 fresnel:1 some:1 b0:1 images:2 bord:1 matching:1 gross:1 scale:1 cavity:1 avoid:1 measurements:6 per:1 does:2 eliminate:1 demonstrated:2 trap:8 measuring:1 noise:3 power:2 radial:1 agreement:1 expansion:1 rue:1 step:1 olsen:1 exciting:1 comparison:1 thywissen:1 central:1 would:1 hutchinson:1 o:1 repulsion:1 obeys:1 act:1 helmerson:2 introduced:1 slightly:1 create:1 facility:1 kasevich:1 within:2 integral:4 negative:1 down:1 acad:1 promise:1 significantly:1 institut:1 transfer:2 initial:2 gases:2 width:9 resulted:1 mach:1 was:6 suzuki:1 interferometry:1 hz:7 but:2 hk:5 cedex:1 atom:51 line:4 highest:1 rolston:2 ωy:2 bloch:1 durfee:1 happen:1 inside:1 maximum:6 us:1 below:6 fermi:2 spectroscopy:2 planes:1 continuously:1 fluctuations:2 kirchoff:1 strongly:1 ac:1 defined:1 diffraction:1 measurement:1 quantum:2 single:2 au:1 simulations:4 work:1 check:1 regime:3 again:1 compared:1 dotted:1 calibration:1 dashed:2 wavefunction:11 when:3 green:1 virtual:2 tight:1 details:2 spatial:1 department:1 ns:1 poor:1 gasenzer:1 calculating:2 separate:1 models:1 problems:1 includes:1 lens:5 jeppesen:4 repumping:1 coupling:4 physics:4 curve:3 equivalently:1 observe:1 time:3 once:1 requires:1 bcs:1 |
0704.0292.txt |@word limited:3 secondly:1 four:8 whose:9 calculate:4 daleo:1 paris:3 segments:2 γw:1 γh:1 under:2 worth:1 divergent:5 updated:1 risk:3 every:3 experimentally:5 encounter:1 induction:1 weinberg:1 solution:5 vector:3 enclosing:1 aachen:4 degeneracy:3 jhep:10 force:2 direct:1 approximation:2 surrounding:1 second:24 rigorous:1 implemented:2 monster:1 even:11 errors:2 iterating:2 specification:3 selected:1 consequent:1 above:23 new:26 increasing:3 consisting:3 coefficient:3 discontinuity:1 simultaneously:1 never:3 here:11 hundreds:1 nnnlo:1 represented:3 tevatron:13 interpret:1 obtained:13 property:2 study:11 changed:2 postponed:1 changes:8 cancellation:2 appropriately:1 9a:1 explained:1 highly:2 visible:1 total:15 linearly:4 plot:7 would:25 call:4 therefore:29 midpoints:11 m2:1 type:6 until:15 separated:4 naive:1 meeting:1 aware:1 correspondingly:1 hold:2 must:5 pivoting:1 work:4 mt:8 deficiencies:2 modify:3 ms:1 exceptions:1 example:22 impose:2 wang:2 indicated:1 give:7 kunszt:1 implementations:5 involve:2 indicates:1 caution:1 want:1 magnitudes:1 times:5 absolute:2 preferably:1 end:14 provide:8 verify:2 feature:1 recovers:1 how:7 opposite:1 significance:1 answer:1 widespread:1 replacing:1 after:12 modest:3 lat:1 meaningful:3 parallel:1 types:1 attempt:1 third:8 recombination:7 summing:1 think:1 complexity:11 maintain:3 algorithms:54 enter:2 order:63 operations:1 over:9 vary:1 expects:2 thesis:2 affect:4 before:8 difference:19 πr2:2 fix:3 expectations:1 production:2 fig:13 persist:1 versus:2 them:14 combination:1 safe:28 effects:3 they:31 represents:1 reasonably:1 reasonable:2 each:49 interpolation:1 mean:1 ua1:2 fairly:1 series:1 webber:4 zanderighi:2 combining:1 substantially:2 laboratory:1 disfavours:1 enclosure:14 borne:1 crucial:4 george:1 particles:136 reader:1 sliding:1 rk:1 abbott:1 log2:1 linear:2 written:2 midpoint:97 little:5 free:2 standard:8 branchings:1 streamline:1 degeneracies:6 competes:1 workaround:2 r2:3 fleming:1 starts:1 corrections:5 uses:7 stewart:1 already:4 coding:1 channels:1 relations:2 another:5 illustrate:1 similarly:1 top:5 needed:7 rates:8 listed:1 hypothetical:1 rejected:1 somewhat:2 shortly:1 distance:17 showed:1 structures:3 iteration:11 likely:8 collinear:20 classes:3 powers:2 perturbative:12 sees:1 modern:2 spectrum:28 seed:18 seen:8 seem:4 contents:10 relatively:3 estimated:1 gehrmann:1 latter:4 isolated:1 oriented:2 circles:9 blue:1 though:10 centres:1 prohibitive:1 involving:2 phase:7 transverse:17 sterman:3 forshaw:1 calculated:4 flow:3 curie:1 points:37 principle:2 section:33 came:1 probe:1 infrared:41 solutions:4 tempted:1 d0:3 partonic:4 touches:2 just:11 implementation:7 explain:1 inability:1 adequate:1 plugins:1 do:17 tiles:1 establishes:3 de:1 stop:1 despite:2 reconstruct:1 runs:3 method:1 analytical:1 reference:1 observes:1 sensitivity:4 testing:3 observed:5 naturalness:1 depends:3 radius:9 result:7 fail:4 techniques:1 said:1 away:1 artificial:1 reassigned:1 simplest:3 drawn:1 sorts:1 encounters:3 preserve:1 accord:1 terms:1 extend:1 visualise:1 confusion:2 restricting:2 however:30 extent:1 suggested:2 ranges:1 essentially:3 merging:9 receives:1 contribution:6 argue:1 suggest:1 presumably:2 hepforge:1 minimised:1 polynomial:2 diff:5 broadens:2 mathieu:1 basis:1 three:15 been:19 much:4 logarithmic:2 interest:2 basic:1 expected:10 entered:1 dozens:1 quantities:11 concerning:1 longitudinally:3 confinement:1 save:1 hoang:2 publicly:2 resummation:1 say:1 transformation:1 aim:2 near:4 suppose:3 stopping:1 balance:3 leaves:1 procedure:46 n2n:6 λqcd:5 ir:55 iv:1 ii:17 cone:163 ic:1 containing:7 things:1 make:5 complex:3 potentially:2 split:60 phenomenology:1 avoids:1 several:2 couple:2 independent:1 emphasise:1 numerical:1 hand:4 computationally:1 sjostrand:2 centred:6 fourier:1 kept:2 immaterial:1 failing:2 simulated:2 recombine:2 fermilab:1 left:7 proposed:3 assigned:1 identify:8 campbell:2 yet:6 previous:3 adding:5 depicts:1 candidate:2 infinitely:1 similarities:1 5r:1 fortran:1 spread:1 5h:1 easy:1 evidenced:1 apart:1 opt:1 9b:1 breaks:1 kaplan:1 possible:12 firmer:1 clustered:1 replace:1 occurring:1 appearing:1 permuting:1 performing:1 diderot:1 specific:12 quadtree:1 steps:11 www:2 right:3 deal:1 begin:1 born:3 rapidity:6 separately:2 9r:1 umr:1 quarks:1 subjets:8 comments:1 maitre:1 4ghz:1 embodies:1 illustration:1 leptons:2 properties:2 takes:9 kinematical:1 o:58 ensure:4 slightly:3 automatically:3 considerations:4 statements:2 presence:3 samet:1 lies:1 balanced:1 refined:1 often:4 rely:2 intrinsic:1 support:1 initial:5 approximate:4 why:3 width:3 collimated:1 conservation:6 fraction:7 triplets:2 kinematics:2 was:18 lowest:1 form:4 differences:17 fore:1 back:4 failure:12 cedex:1 removed:3 true:2 kidonakis:1 versions:1 extremity:1 inside:2 bounds:1 simplifying:1 anew:1 rerun:3 unusually:1 stages:1 computing:2 abstract:1 evidence:4 exist:4 pileup:6 check:4 constructed:1 nh:1 radically:1 faithful:1 nn:20 no:25 nb:3 when:19 vanishes:3 ny:1 setting:1 role:1 test:13 picture:1 welcome:2 update:2 pythia:12 variable:17 nn3:3 nn1:1 longer:2 assume:3 bottom:1 dσ:5 together:6 time:41 observables:3 n2:4 breadth:1 logarithms:1 measurements:6 skip:1 particular:2 leads:5 grateful:1 remarkably:1 rectangles:1 depend:4 finally:6 compensate:1 infinitesimally:1 analogous:2 advantage:3 keeping:1 seemingly:1 geometrical:2 entries:1 exact:18 resummations:1 level:62 did:1 proposals:1 leave:2 discrete:1 upper:6 illustrating:1 sign:1 cost:10 incrementally:2 adds:4 appear:9 assistance:1 shares:1 current:11 sequential:3 goes:1 shared:7 boost:5 french:1 agreement:2 address:5 galileo:1 along:1 appears:2 change:4 box:3 institute:1 shift:1 studied:3 funded:1 commonly:1 trial:5 accomplished:1 suggestion:1 usually:2 hospitality:1 noticeably:1 studies:6 tasks:1 useful:3 extra:6 problematic:2 prefer:1 f2:2 logical:1 1st:1 working:1 prove:3 msu:1 predictions:3 france:1 scenarios:1 going:1 memory:5 egory:1 theoretical:4 diagrams:5 undecayed:1 introducing:1 partons:13 towers:3 suggestions:2 apparent:1 appendix:9 observations:1 calorimeter:2 cases:4 given:35 insights:1 originally:1 modified:9 hardest:8 values:13 following:5 making:3 modifies:1 usability:1 figure:18 attribute:1 permutations:3 performed:1 coincident:2 counting:1 conversely:1 occur:1 s2:4 discussion:5 write:1 rubin:1 criterion:1 pure:2 plus:4 guarantee:1 parameter:9 inputs:1 may:20 abbiendi:1 applications:1 designed:1 revealed:1 natural:3 outline:1 higgs:1 explicit:2 sj:1 switch:1 so:36 sm:11 representation:2 increase:1 typical:3 exclusive:5 breaking:1 constituents:2 exchanges:1 mainly:2 years:2 stability:9 ended:1 experiments:1 cuts:5 differs:1 still:5 relegate:1 group:3 thank:2 acknowledge:1 vicinity:1 coordinates:1 forms:2 according:4 constitutes:2 showered:1 main:4 s1:4 correspondence:5 non:18 introduce:4 tucker:1 tails:1 half:3 sorted:1 now:8 discuss:6 maintaining:1 term:1 name:4 january:1 establishing:3 realistic:3 hadronisation:8 instability:1 entirely:1 weighted:4 populated:1 ed:1 owing:1 ex:3 entering:2 assumption:2 happen:4 eq:20 neighbourhood:3 shown:11 space:10 rounding:2 banfi:5 looking:1 collisions:5 contained:6 suggesting:1 squares:1 correct:1 shows:8 earlier:1 theory:3 divergence:1 quite:4 orn:1 dependencies:1 complicated:1 org:1 care:1 transition:4 iterative:8 dijet:1 turn:1 place:1 massive:4 neglect:1 colliders:2 first:33 origin:1 variables:2 fast:2 directly:1 carry:5 impossible:2 open:1 angular:2 size:2 1s:11 checked:1 yic:1 1a:1 indicate:1 1b:1 bits:2 frame:1 speaking:2 gives:6 way:21 mostly:2 electroweak:1 quad:1 copy:3 than:35 hepph:5 impractical:1 require:2 themselves:1 future:1 were:6 outcome:1 quadrants:1 anr:1 recover:1 any:33 decorrelated:2 efficient:2 ideas:1 note:11 ideal:1 potential:1 take:8 destroy:1 coincide:1 switching:2 channel:1 cnrs:1 sure:3 multiple:6 investigations:1 price:1 decreasing:1 fails:2 successive:1 pair:9 inserted:1 butterworth:1 surprising:1 considered:4 average:3 adopt:2 typically:2 quantity:2 precise:1 regulated:1 show:14 discovered:1 threshold:15 corner:1 nlo:14 ratio:1 enough:2 only:34 explicitly:5 sensitivities:1 gev:34 rept:1 expectation:3 truly:2 cannot:6 nearly:1 progress:1 neither:1 prime:1 regarding:2 summary:2 drawback:1 discussing:1 worrying:1 ignored:2 physically:1 relative:12 namely:1 wonder:1 αs:3 satisfying:2 ways:2 subsequent:3 giulia:1 label:4 outside:2 snowmass:3 between:57 reading:2 checks:1 arnison:1 matteo:1 planes:4 ln3:1 killing:1 gratefully:1 jets:67 article:1 come:3 reaction:1 circumference:2 universit:2 p2t:1 many:10 region:9 quiet:1 generalisation:3 overview:2 deviating:1 iterations:4 associated:3 considers:2 considering:8 sensible:4 collider:1 suppressed:1 inclusive:25 snew:1 combined:1 dangers:1 direction:8 traversal:3 external:1 careful:1 former:1 those:8 case:38 abulencia:2 situation:3 planar:1 orientation:2 characteristics:2 αsn:2 nomenclature:2 middle:2 unit:1 bias:1 return:1 technology:1 worry:3 binary:2 different:28 tiling:1 etc:2 pay:1 formulations:1 same:42 shifts:2 verifies:2 physical:3 events:71 meaningfully:2 status:1 investigated:3 closest:2 boosted:1 αs3:4 αs2:5 running:2 edges:1 delicate:2 αs4:9 changing:3 validate:1 relies:1 tracking:1 modes:1 largely:3 markus:1 roughly:5 severe:1 without:22 solve:1 components:1 very:4 model:3 whereas:3 summer:2 among:5 being:17 generally:3 rest:2 touch:2 speed:9 generator:1 upton:1 photons:1 seems:7 except:1 interested:4 lett:10 momentum:43 real:3 aspects:5 around:9 sums:1 dark:1 np:2 grid:4 using:22 particle:50 identifying:3 reduces:1 discarded:1 benefit:1 either:6 fully:4 resolved:2 reduced:8 deduce:1 table:10 matching:2 ellis:7 dimensions:2 confirm:1 overly:1 provides:3 moderate:4 measuring:1 process:5 scientific:1 power:1 equivalent:2 notably:3 broken:1 repeating:3 hadron:34 comparison:4 central:1 package:1 fringe:1 discussed:5 meaning:3 acm:2 practical:8 act:3 processor:1 cambridge:5 inclusion:2 communication:3 references:1 determine:2 pivot:1 hep:35 ymax:1 area:6 removing:2 strictly:2 there:52 brute:2 start:1 workshop:1 low:8 labelling:1 assumes:2 trying:3 faster:1 loworder:1 default:5 multiplicity:2 robustness:1 marchesini:2 agree:1 detailed:1 gone:2 definitions:1 certain:5 moved:1 deep:1 general:12 examine:10 governed:2 formulation:5 lifetime:1 ostrand:1 again:6 completeness:1 storage:4 event:90 supplementing:2 valid:1 fastjet:9 massless:1 deviation:3 briefly:1 separate:1 includes:3 important:1 bounded:1 peak:2 serious:2 included:7 remote:1 calorimetry:1 curve:2 mimic:1 cacciari:2 mass:23 signalling:1 starting:5 original:11 represent:1 monte:6 consider:17 pointing:1 ptf:1 lack:3 splitting:11 jcjc:1 scalar:4 raklev:1 follow:1 causes:2 content:33 andrea:1 tt:2 tail:4 safety:40 presentation:1 subtleties:2 global:2 straightforward:1 far:5 fat:5 interpreting:1 decide:1 manageable:1 rapidities:5 pt2:6 pt1:6 splits:1 steve:1 collinearly:1 lillie:1 list:20 large:14 small:12 akers:1 past:1 zero:9 design:1 pass:3 further:14 recalculate:1 tev:3 what:10 sub:1 advantageous:1 sum:6 version:4 worrisome:1 public:2 contrast:2 full:10 hash:2 tags:5 component:2 behaviour:3 cylindrical:1 excess:1 directions:3 strong:2 search:14 provably:3 dokshitzer:2 inspired:2 allows:2 amount:2 proportionality:1 narrow:1 rkt:1 via:1 ln2n:2 ask:1 establish:2 select:1 proceed:3 distinct:35 codify:1 contains:5 summarised:1 comparing:3 nucl:3 qcd:10 taken:5 minor:1 more:35 knows:1 emission:1 tested:1 basically:1 varying:1 known:1 multiset:1 evolves:1 none:2 cluster:1 recall:3 remain:1 del:2 strategies:3 history:1 compare:2 neglected:1 collision:4 minimum:2 numbers:6 sense:2 axis:9 information:2 needs:5 recursive:1 rather:14 acts:1 stayed:1 foreseen:1 occasionally:2 speeding:1 ensemble:1 simplicity:2 fr:1 intended:3 variant:3 mapping:2 plane:7 coming:1 choice:10 abe:1 short:1 lhc:8 spectra:8 fitzpatrick:1 interpolates:1 wishes:2 negligible:2 specifying:2 fundamental:1 ege:1 help:2 fft:2 soon:1 paper:1 through:9 existence:1 its:24 energies:1 coarser:1 boson:1 actually:7 absence:2 html:1 might:16 alter:2 good:11 motivated:2 ya:2 unusable:1 motivates:1 yp:2 ys:2 inelastic:1 subsubsection:1 easily:3 2q:2 2r:7 always:6 presented:2 2d:3 found:28 2n:2 2h:3 referred:5 heavy:5 bends:1 formulate:1 hadronic:4 energy:7 hard:147 reduce:3 idea:3 extended:1 expect:2 measurement:4 loops:1 operation:1 beyond:5 orient:1 missed:1 item:1 since:30 research:1 misses:2 dominated:3 dasgupta:4 issue:12 occurs:1 pub:1 like:1 reason:1 imagine:1 put:1 randall:2 beginning:1 generate:4 definition:11 pairs:13 positioning:1 consequence:1 castle:1 hadrons:1 assign:1 probability:12 feel:1 number:39 done:5 construct:2 slower:2 miss:1 invariance:1 passes:5 differ:5 perturbation:4 jet:164 introduction:6 leading:16 least:5 omnipresent:1 calculations:6 scheme:4 store:1 too:3 option:5 behind:1 sizable:1 part:11 believe:4 albeit:2 kind:2 hundred:1 determines:1 determined:2 yang:1 supposed:1 treated:2 motivation:2 comput:3 7b:1 footnote:2 randomly:3 substantial:1 orders:6 lie:4 built:1 lim:1 costs:2 analogy:2 finding:18 seedless:54 added:4 measures:3 reach:2 most:5 significant:8 comparisons:3 colliding:1 extremely:1 stands:1 sometimes:2 cover:1 unreasonable:1 traditional:1 generalising:1 kt:19 brookhaven:1 physics:12 ambiguities:2 cdf:11 multiplicities:7 relation:5 fine:1 find:23 impact:13 reminiscent:1 indicator:2 parameters:3 merges:3 ies:1 distributed:7 failed:1 generators:1 circle:36 merged:5 hit:1 dependent:1 trees:3 gavin:1 combinations:2 during:4 resolve:2 arxiv:2 stirling:1 remove:3 investigate:2 common:10 herwig:6 set:32 art:1 splittings:1 tree:17 unpublished:2 see:17 individual:1 sec:2 close:1 contour:4 shower:7 intersected:1 currently:2 smallest:1 various:11 probably:2 conditions:1 doubly:1 available:5 seeded:9 recently:1 enclosures:12 missing:5 initially:3 attention:1 analogues:1 acknowledgements:1 untouched:1 vanishing:1 distinguish:2 understanding:1 both:26 recherche:1 last:4 opal:3 catani:2 blazey:1 sensitive:4 context:3 whole:2 finds:3 experimental:1 arbitrarily:2 point:34 simple:6 corresponds:11 whatever:1 dimensional:14 simply:5 throughout:2 expensive:1 ps:1 ensures:2 described:1 pt:84 pz:2 create:1 py:2 due:3 strategy:2 pa:1 galilei:1 pj:1 ph:31 pi:5 pn:2 generating:1 precision:1 else:3 understand:2 representative:1 misbehaving:1 surveys:1 p2:12 p1:9 cern:1 while:19 evaluating:2 loop:23 identical:40 dominantly:2 averaging:1 itself:1 timings:2 vanish:1 desy:1 grant:1 widely:1 modification:1 products:1 prerequisite:3 higher:7 development:1 used:24 assignment:1 huston:5 levels:2 moving:3 purpose:2 robust:1 recent:2 early:1 lower:8 spent:1 analysis:5 edge:20 parametrically:1 distances:1 regardless:1 alternative:2 cut:7 conclusions:4 decayed:5 guaranteed:1 exclusively:1 source:3 mcfm:2 relevance:1 input:1 violations:1 guarantees:2 solvable:1 remaining:4 evaluate:1 characterise:1 advocate:1 displace:1 ringberg:2 integer:1 bit:1 projects:1 formal:1 modifications:3 sorting:1 systematically:1 follows:4 shapes:1 communications:1 continue:2 unstable:5 byproduct:1 essential:1 mathematical:1 cones:101 some:31 pierre:1 understood:2 sight:2 scale:8 decision:2 shall:8 per:3 centroid:3 eliminate:1 tends:1 prog:1 leftmost:1 proc:1 prob:1 pozo:2 run:22 confidence:1 stem:1 step:26 skiba:1 plots:2 consumption:1 anything:1 standalone:1 nnlo:8 simulation:1 range:8 conserving:2 computational:14 into:17 within:8 elvira:1 appropriate:2 parton:28 clustering:3 marie:1 measured:1 question:11 specifically:3 bosons:1 sections:2 considerably:4 arise:6 hepex:2 properly:2 repeatedly:1 line:5 considerable:1 infn:1 consist:1 up:16 us:13 un:2 today:2 suitable:3 ue:8 highlight:2 similar:15 called:1 ordered:4 defined:12 coincides:4 unsafe:16 single:22 cure:1 recalculated:1 defines:2 codes:12 amounts:1 azimuths:2 definitely:1 statement:3 department:1 elements:1 generates:2 azimuth:2 problems:8 generated:5 allowing:1 structure:12 ago:2 independently:4 implies:4 algorithm:153 required:1 calculates:3 equivalently:2 depth:1 failures:4 requires:1 having:5 once:9 code:16 partial:1 gr:1 illustrates:1 scratch:1 results:22 existing:5 illustrated:1 softer:1 complication:1 houches:2 edu:1 go:2 contributions:4 issues:2 longstanding:1 rsep:17 excluded:3 stable:109 include:3 indicating:1 overlaps:9 random:12 wavy:1 corcella:1 ending:1 continued:1 positions:1 notes:2 fewer:2 deals:1 dealt:2 configurations:15 encloses:1 smaller:11 enclosed:2 dynamics:1 carlo:6 analogue:2 abazov:2 rate:3 giving:3 3r:4 3h:4 3d:1 completion:1 led:1 degree:5 respectively:2 gathered:1 stanco:1 les:2 others:4 recomputing:1 implicit:1 technical:3 involved:1 larger:7 leaving:2 resulting:11 principally:1 makes:2 involves:1 examining:6 named:1 formulated:1 scales:5 apr:1 aps:1 private:3 scaled:1 apply:2 rcone:4 use:25 usa:1 commun:3 remains:7 next:6 few:4 examination:1 exhaustive:2 sort:2 becomes:2 proton:1 opposing:1 labelled:3 actual:1 iii:3 reconstructed:1 crosses:1 salam:5 infinitesimal:1 obvious:1 publications:1 closing:1 proof:13 chosen:1 calculation:6 purposes:1 pentium:1 high:4 tag:3 dominant:4 decaying:2 r23:2 holds:2 regions:2 instead:8 circular:7 soper:3 efficiently:3 ambiguous:4 advocated:3 light:1 correspond:4 allow:1 jussieu:1 divided:1 fastest:1 nlojet:7 move:4 interpreted:1 produced:3 including:2 looks:1 mentioned:7 boosts:1 bunch:1 longitudinal:2 exclusion:1 decay:11 ln:20 lo:4 masses:18 li:1 degrees:1 choose:5 defining:3 greater:4 practice:5 mention:1 university:2 identified:8 merge:62 slide:1 magnitude:6 crossing:1 identifies:3 subset:4 recommend:1 showering:6 bentley:1 related:4 decays:3 siscone:51 measure:4 our:16 patch:1 special:3 out:13 rev:8 rel:5 ref:1 red:2 fluctuates:1 interactions:1 maintains:2 undo:1 approaches:4 likelihood:2 interaction:1 geometry:1 determining:1 could:8 feasible:1 length:2 assumed:1 hence:4 retain:1 repeats:3 manuscript:2 reaches:3 occurrences:2 reached:1 precisely:2 long:1 swept:1 leder:1 ordering:22 adopted:7 their:18 intermediate:1 mantry:2 perfectly:1 final:14 seymour:7 exactly:1 slides:2 july:1 knowles:1 completes:1 updating:1 limiting:1 amplitude:1 unchanged:4 curves:1 discussions:2 unlikely:2 need:7 clearly:1 angle:5 min:16 studying:1 bhattacharjee:1 mix:2 concerns:6 agence:1 mip:3 detector:3 accuracy:2 centre:7 collaboration:11 mimics:1 but:25 preliminary:1 segment:16 class:1 fair:1 luscher:1 fact:4 selection:2 text:3 supported:1 terminate:1 anyway:1 nagy:1 purely:4 trivial:2 principal:1 soyez:1 based:11 knowledge:3 should:16 entities:1 ambiguity:2 indeed:3 regularly:1 means:2 overall:5 ones:7 words:1 propagated:1 timing:2 procedures:4 processes:3 dpt:5 approach:17 differential:1 dpf:1 dpb:1 contain:5 enclose:1 fixed:14 graf:1 view:2 requirement:3 omission:1 modulo:2 national:2 enhanced:1 positron:1 placed:1 complementary:2 state:2 identification:1 invariant:6 boundary:9 comparable:2 ability:1 opening:1 importance:3 implementing:2 huth:1 key:3 configuration:4 distribution:8 observable:1 limits:2 plugin:2 taking:3 la:1 equal:7 presentations:1 april:1 figures:1 otherwise:3 comment:4 strongly:1 relevant:4 cf:3 oderda:1 denis:1 respect:2 phasespace:1 kinematic:1 addition:10 slowly:1 indicators:1 proposal:3 define:2 arises:3 corresponding:9 sufficient:1 bulk:1 ensuring:1 c2:2 c1:2 present:9 divisions:1 multi:8 abandoned:1 subsets:2 contexts:1 value:4 choices:1 will:90 advisable:1 wobisch:4 examines:3 almost:5 thus:13 examined:1 conserve:5 φp:2 φs:2 generic:2 divergences:1 radiation:1 cross:11 φa:2 parts:3 schematic:1 largest:3 finite:4 http:3 upon:1 effect:2 phd:1 v2:2 infinite:2 keep:1 expense:1 nevertheless:2 well:13 sets:2 firstly:2 position:3 disambiguated:1 holdom:1 realised:1 less:6 identically:3 obtain:3 underlying:15 momenta:25 moretti:1 density:1 smith:1 deposits:1 appeared:2 add:11 extends:2 usage:1 details:6 volobouev:3 tests:12 definitive:1 checking:1 increases:3 know:2 resolves:2 belgium:1 immediately:2 variants:1 lpthe:2 necessary:2 helpful:2 sizes:1 alternatively:4 δr:5 become:5 works:1 soft:90 nationale:1 replacement:1 indications:1 because:27 sequence:3 pαi:2 searching:1 pαn:1 choosing:1 recommendation:2 proper:1 happens:2 highlighting:2 lead:8 sufficiently:2 broad:2 avoid:1 overlap:23 does:16 assuming:2 chains:1 slight:2 pp:6 pα1:1 appleby:2 analyses:1 weerts:1 stage:2 about:12 rare:1 carried:5 freedom:2 introduces:2 dependence:2 compatible:1 seeds:23 introduced:1 px:2 equally:3 own:2 additionally:3 previously:1 demonstrably:2 square:1 tiny:1 additional:6 justifying:1 overestimate:1 dm2:2 dm3:2 naturally:1 function:6 funds:1 triangular:2 overlapping:11 repeated:2 construction:2 highest:4 iterates:3 made:6 compute:5 places:2 instructive:1 whether:13 dangerous:1 cells:1 record:1 below:6 converted:1 limit:8 iterated:1 problem:24 piece:2 pin:2 condition:1 proceeds:2 compared:8 percent:4 detail:4 virtual:2 arctan:1 other:12 ellipses:1 normal:1 conclusion:2 repeat:4 kinds:3 stay:1 chance:1 αew:3 searches:1 coupling:2 resolution:1 4r:1 4h:5 determination:4 |
0704.0293.txt |@word quarks:3 consider:6 invalidated:1 illustrates:1 varying:1 results:1 rapid:1 quadrature:2 generalize:1 expressions:6 localized:2 compact:1 whose:1 depend:1 aug:1 re:4 paris:1 presents:1 tail:1 indicate:1 those:3 th:2 under:3 include:1 γe:1 divergent:2 case:12 supported:1 amplitudes:7 presently:1 mixte:1 md:1 very:5 keeping:1 wave:41 interpreting:1 breit:1 resonant:3 emphasized:1 difference:23 exact:4 condition:8 entire:1 school:1 quantitatively:1 presented:1 erratum:1 applicable:5 large:2 sine:1 small:14 noted:2 smaller:2 force:1 10o:2 consistent:1 estimates:3 measurable:2 sign:3 approximation:6 likely:4 lepage:1 further:1 theory:2 errors:4 stands:2 section:2 interactions:1 contributed:1 near:15 current:5 goes:1 new:2 contributes:1 lifshits:1 coefficient:5 outgoing:11 justification:1 athar:1 ibid:1 fiz:1 respectively:2 component:1 here:7 understanding:1 byers:1 mev:7 illustration:1 ratio:40 along:2 quite:4 equations:2 logarithmic:1 incoming:3 institute:3 study:2 studied:2 later:1 p2:3 resulting:1 interac:1 usually:2 resonance:23 shaded:2 makes:1 appropriately:1 showing:1 extra:1 apr:1 manohar:1 compare:1 replace:1 apply:2 meson:20 unit:2 readily:7 standing:3 use:3 charge:1 superpositions:2 would:2 remains:2 contains:4 finally:1 france:1 few:2 nucl:1 therefore:2 taken:1 simpler:1 selects:1 theoretical:7 possible:1 more:4 separated:1 introducing:2 eiδ0:3 eiδ1:3 becomes:1 odinger:3 particular:5 known:2 actual:2 evolves:1 account:1 mb:1 equation:11 mn:2 modified:7 values:2 evolved:1 following:2 arrive:1 dedicated:2 transition:1 practical:1 figure:2 chosen:2 calculation:1 relativistic:1 organized:1 purposes:1 states:4 assumptions:2 arise:1 isotopically:4 quark:2 absolute:1 information:2 respective:2 end:1 straightforward:1 provide:3 describes:1 discussion:5 breaking:12 cancelation:2 revisit:1 write:1 pure:3 parameter:9 sin:6 simplicity:1 snd:1 singular:6 may:1 containing:1 plane:4 waves:8 summarize:1 data:17 fm:3 short:6 effective:1 light:1 grant:1 explicit:1 correspond:2 rather:1 si:2 so:9 allow:2 order:9 superscript:1 wigner:1 cutoff:7 indeed:4 thresholds:2 insight:1 δφc:6 produced:4 experiments:1 through:1 looks:1 statistical:2 argued:1 kinetic:3 still:1 its:4 regions:1 le:1 outer:3 voloshin:3 energies:2 continued:2 masses:1 better:1 production:26 fig:4 total:1 defining:1 non:4 good:1 combination:1 numerically:2 material:1 noticing:1 landau:1 units:1 effects:17 arriving:1 singularity:2 now:5 discuss:1 2v:5 40o:3 fully:1 university:3 level:1 realistic:4 2f:1 reasonable:1 each:4 found:8 universit:1 constraints:3 heavy:11 ei:1 significantly:2 evolve:1 energy:20 abnormal:1 solution:5 extended:1 isospin:23 interplay:1 entering:1 measurement:2 quantum:1 our:9 beyond:4 eq:29 out:1 shown:3 factors:9 oxford:1 furthermore:2 since:3 rev:10 particles:1 attracted:1 rc:28 formula:8 accessible:1 ref:1 shows:2 mφ:1 mρ:1 linear:8 written:3 free:4 standard:6 difficulty:1 approaches:1 necessarily:1 complicated:1 estimate:4 e0:3 pairs:15 interaction:49 similarly:3 φc:9 motion:2 turn:1 corrections:3 neglected:1 hadrons:1 first:9 xi:1 symmetry:5 number:2 channels:13 done:2 illustrate:1 given:6 perturbation:7 start:2 introduction:1 meaningful:1 least:1 their:2 assumption:1 rates:1 master:2 molecular:1 final:1 recovered:2 gives:5 moscow:1 exactly:1 zeroth:1 part:9 somewhat:4 off:1 believe:1 unrealistic:1 than:2 coefficients:5 distance:1 parts:2 determines:3 third:1 edition:1 favors:1 approximations:1 namely:2 isovector:12 annihilation:6 matter:1 determined:9 amplitude:7 merits:1 tion:1 toward:2 russia:1 cleo:5 exhibit:1 questionable:1 minn:1 lines:3 correction:9 generalization:1 eichten:1 conjugate:1 any:6 viewed:1 depending:1 describe:1 latter:4 physique:1 onset:1 potential:15 simplified:2 finding:1 negligible:1 coincide:1 subject:1 channel:18 unperturbed:1 formulas:4 cnrs:1 added:2 collaboration:7 singlet:2 extending:1 significant:1 preliminary:1 pair:8 homogeneous:1 acknowledgements:1 escribano:1 isotopic:22 takes:1 considered:8 adopt:1 coincides:2 neutral:14 atwood:1 doe:1 accounted:1 principle:1 exp:1 velocity:3 hastings:1 physics:4 fact:4 quantity:1 precise:2 isosinglet:2 violation:4 ftpi:1 infrared:2 purely:4 solutions:3 threshold:11 fine:2 find:7 d0:1 based:1 knowledge:1 parameters:4 produces:1 minnesota:3 should:7 only:19 difficulties:1 factor:9 pointed:1 marciano:1 mixture:3 above:1 means:2 dependent:1 de:4 overall:1 enters:1 negative:2 words:2 report:1 dt:2 dr:8 alexander:1 runs:1 introduced:1 conditions:4 arxiv:1 yield:15 summary:1 paper:4 contain:1 valid:2 requirement:1 set:1 exists:1 frame:1 lett:5 relative:6 mentioned:3 depends:3 sec:5 result:8 close:2 momenta:2 iδ0:1 iδ1:1 phases:6 satisfying:1 give:1 away:1 currently:1 definite:1 symmetric:1 state:5 smallest:1 between:21 boundary:1 babar:5 approach:3 across:3 available:3 multiplied:1 notice:3 terms:2 nonresonant:5 attention:1 however:6 eipr:1 vanishing:5 derive:2 multiplies:1 group:1 jetp:1 both:7 recherche:1 achasov:1 region:18 uncertainty:3 according:2 sensitive:1 involve:1 figures:1 receives:1 interesting:2 variance:1 contribution:7 argue:1 expression:9 finds:2 experimental:6 grounds:1 mechanics:1 ci:2 relevant:3 conclude:1 simple:3 asymptotically:1 corresponds:4 consideration:2 throughout:1 pseudoscalar:1 pr:47 strong:48 described:4 simplification:1 bramon:1 due:12 been:5 yao:1 pa:13 slowly:1 combined:3 interest:1 expected:1 yad:1 ph:2 systems:1 life:1 arises:1 corresponding:9 kaon:1 scalars:1 sufficient:2 essentially:2 2ip:1 coherent:3 minneapolis:2 systematic:1 c2:1 denote:1 present:10 applied:3 p3:8 p0:4 replaces:1 unlike:1 gradual:2 value:3 will:1 technical:1 while:8 abrupt:3 match:2 behavior:15 error:1 situation:7 resolved:1 vb:1 larger:2 phenomenological:3 thus:9 violating:3 equal:1 ii:4 comparing:1 reads:1 itself:1 im:2 mod:1 different:2 overal:1 thereby:1 propagation:1 generic:1 belle:1 cross:1 same:8 clearly:3 complex:4 arguments:1 largest:2 modification:4 finite:2 composition:2 φn:11 independent:2 used:3 infinity:2 see:1 laboratoire:1 pancheri:1 numerical:2 upon:1 effect:30 hand:1 parametrized:2 running:3 purpose:4 unpublished:1 manifestly:1 totally:1 schr:3 well:2 analysis:6 model:1 arising:1 dimension:1 charged:18 distances:10 mehen:1 less:2 being:6 when:4 accurate:1 sources:1 properties:1 pac:11 flavor:2 scattering:26 previous:1 cut:1 point:9 parametrization:1 source:20 add:1 setting:2 treatment:6 heavier:1 remaining:1 momentum:3 real:6 march:1 iγ:1 term:5 cf:1 possibly:1 confined:1 using:2 helpful:1 imposed:1 like:2 particle:1 antimeson:1 follows:1 specific:3 imposes:1 yields:2 either:3 arbitrary:1 become:1 conclusion:1 lager:1 qed:1 lucio:1 2iδ:1 30o:1 proper:1 neglecting:1 matching:8 superposition:1 provided:1 scale:2 describing:2 isoscalar:12 umr:1 electromagnetic:7 measurements:3 mesons:41 does:4 linearly:2 umn:1 measuring:1 considering:6 process:2 indicated:1 slight:1 radial:3 agreement:2 expansion:5 step:1 although:1 substitution:1 plots:1 imaginary:4 entirely:1 asymptotic:3 comparison:2 about:2 kinematical:8 a1:43 usa:2 extension:1 most:1 discussed:11 dependence:3 o:2 compatible:1 range:10 repulsion:1 kaiser:1 mixed:3 euler:1 okun:1 bˆatiment:1 presence:2 previously:7 pergamon:1 into:7 within:1 integral:11 bound:1 three:1 down:4 phase:20 appropriate:1 references:1 determine:3 proportional:7 orsay:2 aubert:2 hep:2 area:3 assumed:3 support:1 there:7 relegated:1 long:1 noticed:1 width:4 inasmuch:1 cosine:1 inner:1 way:7 analyze:1 was:1 assumes:1 function:21 form:13 but:4 cedex:1 atom:1 line:1 fg02:1 considerable:2 he:1 applying:1 characteristic:1 inside:3 smooth:7 us:1 lead:1 below:1 limit:12 problem:2 similar:1 expect:1 detailed:5 ac:12 lpt:1 constant:6 ln:1 defined:1 abstract:1 contribute:1 textbook:3 general:9 20o:3 ensuing:1 work:1 simplest:1 constructed:1 functions:18 compared:2 no:6 cos:5 generally:10 green:2 ourselves:1 application:1 other:7 details:2 offered:1 regularizing:1 deviation:4 picture:3 conventionally:1 separate:1 vertex:2 variation:3 includes:1 william:2 a0:43 vp:1 important:4 peak:1 proceeding:1 astronomy:1 needed:1 coupling:1 coulomb:29 sigma:4 4s:9 mass:20 resonances:6 requires:1 δrc:1 once:1 |
0704.0294.txt |@word bqed:2 represent:1 monte:3 sci:2 consider:1 exponentiation:4 results:12 existing:1 leads:1 known:2 houches:1 expressions:1 contributions:3 cases:1 b382:1 tx:1 matsuura:1 environment:1 unnecessarily:1 determinations:1 under:3 include:1 eikonal:1 divergent:1 nason:1 case:1 returning:1 mpi:1 bjorken:1 zijlstra:1 corcella:1 b281:1 fleming:1 exact:18 entire:2 erdmann:1 unlike:1 level:10 issue:1 applicable:1 large:1 vector:2 progress:2 mangano:1 pst:1 b133:1 averaged:1 approximation:2 scet:1 imply:1 value:2 chen:2 further:1 carlo:2 tev:1 established:1 what:1 appear:3 sum:1 b680:1 expressed:1 find:2 above:3 new:7 acknowledgments:1 full:1 simultaneously:1 ibid:8 fiz:1 respectively:3 hera:1 here:6 lep:1 desired:4 les:1 concluding:1 path:1 quark:1 change:1 obtained:2 accomplishes:1 cern:5 dokshitzer:1 study:1 allows:7 amount:1 simultaneous:2 resonance:1 narrow:1 studies:1 involves:1 a20:1 via:3 useful:1 gluons:2 scales:1 apr:1 durham:1 gluon:9 b342:1 apply:1 estimate:1 readily:1 presents:1 use:9 proceed:1 usa:1 hollik:2 contains:3 predictions:1 substitutions:1 scenarios:1 calculation:1 nucl:8 call:2 therefore:2 qcd:49 taken:1 theoretical:6 possible:2 more:3 partons:2 th:1 operators:1 stable:1 constructs:1 emission:1 stirling:2 everywhere:1 vmax:2 ward:9 must:3 me:3 involve:1 account:2 mc:5 erratum:1 work:3 theories:1 values:1 γe:2 evolved:1 following:1 arrive:1 example:2 proof:1 indicated:1 stated:1 process:2 expanding:1 organized:1 kunszt:1 ann:1 eex:1 νe:2 tag:4 keller:2 numbers:1 dxi:1 contopanagos:1 counting:3 ratio:1 wackeroth:1 respective:9 dglap:2 imminent:1 discussion:3 get:1 arrangement:1 lepton:2 how:2 delaney:3 acta:3 product:1 algebra:1 may:6 overall:1 earlier:1 singularities:6 regularization:1 produce:1 fi:2 fj:2 data:1 comp:1 stress:2 d66:1 lhc:15 effective:1 light:1 summing:1 element:1 maintain:1 so:5 representation:2 subsequently:1 stewart:2 divergences:1 talk:1 exclusive:1 exponentiated:2 developed:1 over:5 expects:1 dv:1 introductions:1 xi:3 cuts:1 sakumoto:1 its:4 style:1 lc:1 decay:1 ln:5 inclusion:1 lk:1 boson:7 production:8 ls:3 daphne:1 eur:1 eventually:1 non:2 good:1 combination:4 practice:3 evolution:7 introduce:1 framework:2 effects:14 half:1 yu:1 discuss:1 riemann:1 represents:1 february:1 anastasiou:1 january:1 university:1 presented:4 baylor:1 magnitude:1 found:1 carlos:1 mean:1 heavy:6 showering:1 logs:1 hadronic:1 series:4 energy:1 hard:3 related:1 webber:2 literature:2 interplay:2 our:6 happen:1 event:5 really:1 shown:4 matrix:3 space:4 mq:3 furthermore:1 since:1 rev:13 m2q:2 requires:1 re:1 investigation:1 fy:1 formula:5 illustrate:3 ref:12 occurs:1 after:1 theory:20 suura:1 b35:1 free:2 standard:6 approaches:1 ααs:1 b126:1 van:2 attendant:1 generate:2 b33:2 pairs:1 could:1 omit:1 ordering:1 b590:1 corrections:4 colliders:1 first:4 xj:3 already:3 martin:1 herwig:5 restrict:1 employing:1 angular:1 size:4 given:3 perturbation:1 needed:2 introduction:1 leading:2 their:1 compromise:1 too:2 calculations:1 realization:3 expanded:1 exponents:3 gives:2 shell:2 geneva:2 completed:1 exactly:1 realized:4 immediate:1 j1:1 part:1 authors:1 x2:6 x1:6 than:1 coefficients:1 kind:1 holland:1 double:5 distinguishes:1 final:2 collinear:5 compensation:2 determined:1 bauer:2 powers:3 perturbative:8 weinzierl:1 comput:1 correction:1 nonabelian:1 argument:1 showers:2 trentadue:1 need:1 apparently:1 orders:4 complete:1 genuine:1 exploratory:1 partly:1 latter:4 fnal:2 isolate:1 note:2 k1:14 without:3 take:1 ceex:1 analogs:1 accuracy:2 calculus:2 formulas:1 σborn:4 multiple:3 most:1 pirjol:2 successive:1 phase:4 electroweak:3 interacting:1 subtracted:2 frautschi:1 kj:5 average:1 kn:8 km:6 order:8 principle:4 usual:1 physics:8 section:14 nls:15 show:1 supported:1 infrared:4 skrzypek:2 gauge:6 threshold:5 substituting:1 d3:5 hobson:1 q1:2 q2:4 based:1 implementation:1 state:3 should:3 explicitly:1 pauss:1 factor:1 kramer:1 neerven:2 σexp:6 abelian:2 dominant:1 notation:1 means:2 there:1 de:1 db:1 beam:1 cracow:2 words:1 yfs:6 combinations:1 blumlein:1 processes:5 luminosity:5 arxiv:1 expansions:1 factorization:5 d51:1 gribov:1 analytical:2 d57:2 dph:2 requirement:1 set:1 art:1 computed:1 yost:4 j2:3 relative:1 see:4 result:12 discussions:1 terms:5 analog:1 techniques:1 shower:12 αs:8 exponent:6 subsequent:1 review:1 currently:1 d59:1 written:2 kj1:1 between:3 limit:2 d52:2 d55:1 d56:1 αn:2 dittmar:2 emitted:1 recently:1 parent:1 sections:1 dxj:1 confusion:1 attention:1 however:1 jetp:1 improve:1 suggested:1 both:5 prescription:1 ilc:1 region:1 catani:1 agree:2 etc:1 experimental:2 comment:1 clg:1 point:4 dittmaier:1 had:1 ca:1 cf:2 factorize:1 cy:1 constant:1 zeta:1 conference:2 pp:1 tevatron:2 lipatov:2 pt:5 basis:2 radiative:3 been:4 int:1 much:2 treat:1 azimuthal:2 basic:1 nato:1 ph:5 exactness:2 hamberg:1 lett:6 wants:1 hepp:1 direction:1 corresponding:7 sˆ:2 photon:2 precision:9 baur:3 c3:1 improved:2 general:1 present:1 p2:6 p1:2 exponential:2 pacs:1 resummation:16 budget:1 evaluated:1 will:6 while:1 match:1 error:1 procedure:2 iy:2 almost:1 averaging:1 refs:8 ir:3 thus:1 αsm:2 altarelli:2 b327:1 examine:1 grant:2 parisi:1 make:4 radiation:1 cross:10 any:1 emphasize:1 largest:1 higher:1 independent:2 used:4 eds:4 singapore:2 effect:1 exponentiating:1 αs2:2 yennie:1 hospitality:2 angle:1 sjostrand:1 off:1 well:4 analysis:2 contact:3 residuals:12 model:1 paradigm:1 left:1 just:1 being:1 accurate:1 rexp:2 pol:1 thanks:2 world:2 alternative:1 generator:1 conclusions:1 photons:1 seems:1 other:1 combine:1 treatment:1 mod:4 remaining:1 momentum:1 polon:2 real:1 bhabha:1 big:3 term:1 munich:1 press:1 using:3 rhic:1 formal:1 dimensional:1 spiesberger:1 frixione:2 replacing:1 semi:2 δy:1 systematically:3 follows:2 sizes:1 unnecessary:1 roth:1 either:1 integrals:1 fully:1 rearrangement:2 soft:2 essential:2 mahanthappa:1 therein:13 because:1 methods:4 do:3 some:3 q20:2 born:2 specified:1 kawamura:1 extended:1 matching:6 provided:1 vol:1 scale:6 illustrated:1 thank:1 esf:1 does:1 prof:2 proc:8 refer:1 haywood:1 q2f:2 dictates:1 combines:1 expansion:4 bu:1 jadach:12 hadron:1 b359:1 would:4 extension:4 dˆ:8 b353:1 commun:2 discussed:1 o:5 epiphany:2 d69:1 d65:3 2cf:1 euler:1 sept:1 d63:2 organizers:1 berger:1 presence:1 into:4 suppl:1 remarks:1 appropriate:2 references:13 parton:9 sov:2 operator:1 amsterdam:1 qed:35 hep:5 log:2 waco:1 comparing:1 support:1 initial:4 approximate:1 specifically:1 workshop:3 way:5 ed:2 sterman:1 was:3 opens:1 function:5 regulator:3 north:1 elsewhere:2 energies:2 something:1 but:1 yad:1 fg02:1 count:1 made:1 compute:1 wish:2 variations:1 us:8 below:1 those:2 distribution:3 similar:2 calculated:2 firm:1 ordered:3 defined:3 abstract:1 convergent:1 single:3 exist:1 controlled:1 doe:1 check:1 constructed:1 high:1 functions:11 compared:1 no:2 whereas:1 boos:1 when:3 virtual:1 application:2 valid:1 department:1 karlsruhe:1 a14:1 elements:2 intend:2 a12:1 siopsis:1 a19:1 ultimately:1 jung:1 pythia:4 included:2 structure:8 factorized:1 algorithm:1 dqcd:4 required:1 together:1 implied:1 mass:3 time:1 observables:1 backward:3 starting:2 augmented:1 |
0704.0295.txt |@word homomorphism:2 consider:8 induces:8 varying:1 truncated:2 results:17 yim:3 roy:1 proposition:14 gb:1 ga:4 edu:1 consists:1 dist:1 contributions:1 atlanta:1 equivalences:2 compact:2 whose:4 inverse:6 depend:1 referring:1 ty:1 tt:4 equivalence:28 carleman:1 tn:3 finally:1 tm:2 infinitesimally:1 preserved:1 stable:26 decomposition:2 analogous:1 conjecture:1 worse:1 straightforward:2 very:4 corollary:6 isomorphism:1 every:8 negations:5 cellular:3 rm:3 bounding:2 simplify:1 adaptive:4 convexity:3 dim:5 school:1 quasianalytic:1 obvious:2 subsets:10 presented:1 knight:1 notes:2 t0:2 t1:5 large:1 admissible:4 pollack:1 small:4 99a:1 shows:1 dip:1 noted:1 upper:7 dries:5 smaller:1 says:1 zi:1 lecture:1 matousek:1 conjunctions:1 translating:1 fold:2 second:3 basu:15 follow:1 further:2 even:3 index:1 what:1 lemmas:2 plays:1 sub:13 section:4 expressed:1 reminiscent:2 version:4 above:12 new:6 construction:3 bn:9 relatives:1 pioneering:1 notions:1 klee:1 respectively:24 here:2 atoms:1 refinement:2 objects:5 groups:1 others:1 represented:4 tz:12 along:1 invented:1 appears:2 z2:2 obtained:1 remark:10 technical:6 study:4 studied:1 isotopy:1 sx:1 prior:1 survey:1 deg:1 studies:1 sci:1 york:2 predicate:2 projection:10 classification:1 bounds:7 wil:1 replace:4 ask:1 nk2:1 boolean:5 apply:4 hardt:8 suspensions:1 use:6 homotopic:4 would:4 prove:9 distinct:7 positive:1 give:3 selecta:1 yj0:3 few:2 depicted:1 call:12 recommend:1 lems:1 associated:1 type:17 diagrams:1 more:14 symposia:1 rk1:43 rk2:30 under:2 triangulable:3 particular:4 known:10 cardinality:6 iii:1 states:1 springer:4 balls:2 ma:1 recall:7 work:2 london:2 infinitesimal:1 values:1 den:5 mr:15 following:18 trans:4 example:2 proof:31 relative:1 weaker:3 figure:2 stated:1 preserving:40 belonging:1 topic:1 effectively:1 numbers:5 sense:1 occur:2 verlag:3 information:1 ib:20 s2:3 s1:10 holds:3 arrangement:15 maps:16 varies:1 get:3 instead:3 map:49 mar:1 blocks:1 description:2 replacing:3 containing:1 collection:10 diagram:50 consequence:2 fb:14 produce:1 multiplication:1 summarize:1 compatibility:3 types:39 sz:2 exm:1 introduced:2 natural:3 danzer:1 sets:54 consequently:2 author:1 lines:1 correspond:1 element:1 si:4 ones:1 algorithms:2 sn:51 sm:2 definitions:3 order:6 n0m:4 restriction:3 closely:3 bk1:6 developed:1 over:15 ttt:1 paper:12 through:1 mentioned:3 existence:4 its:3 before:4 derive:1 chosen:1 interesting:2 fix:1 solving:1 coordinates:1 writing:1 b1:9 h2:2 hm:2 drawback:1 degrees:1 k1n:1 suspension:3 main:12 might:3 setting:6 yi:3 them:7 h1:2 ym:6 pure:1 yn:1 ya:1 dieudonn:1 practice:1 introduce:2 isomorphic:2 framework:2 they:1 symposium:1 yp:11 now:21 n00:1 easily:3 several:1 simplices:3 betti:4 duality:1 2k:1 characterizes:1 university:1 identified:1 sufficiently:5 each:36 references:1 trivializations:1 referred:1 subset:11 lectures:1 differential:1 directly:1 ed:1 idea:2 related:3 conventions:1 society:3 investigated:1 amsterdam:1 our:3 mapping:1 standard:1 category:4 respects:1 shown:1 rp:1 discrete:3 restricted:2 triangulations:11 since:11 crucial:3 combinatorial:6 contained:2 hill:1 reader:1 formula:9 rn:6 induced:7 suffices:2 math:16 rk:34 fiber:2 theory:7 state:1 lms:1 little:1 quite:1 admits:1 homeomorphism:14 ntm:4 dottorato:1 put:2 axioms:1 definition:28 interaction:2 language:2 fa:10 geometry:11 phrases:1 could:1 omit:2 times:2 πj:6 american:2 place:1 πk:4 hence:5 onto:5 first:16 intuition:2 subcomplex:1 omitted:1 symbolic:1 number:32 sack:1 restrict:1 simplified:1 jjj:1 another:1 precisely:4 open:1 george:1 size:1 given:10 minimality:2 introduction:3 unknown:2 c0:2 πi:2 least:1 πm:3 electronic:1 their:3 πp:1 perturbations:1 encyclopaedia:1 statement:2 eqn:2 structures:10 gives:5 tool:2 convention:2 proving:2 part:3 constituent:2 x1:1 representing:1 than:3 finitely:2 approximation:1 holland:1 edition:1 fuchs:1 require:2 see:23 classes:2 doubly:3 were:1 result:2 considerably:1 respecting:1 boston:2 ann:1 argument:2 generalization:2 say:17 need:9 any:24 generalizes:1 i1:2 depending:3 efficient:1 convenient:2 micha:1 hyperplanes:1 complexity:7 note:10 k2:56 k1:27 εn:5 take:1 reals:2 mayer:1 computation:2 inequalities:1 play:1 continuous:1 fundamental:1 though:3 object:1 techniques:1 systems:1 birkh:1 most:6 ordinates:8 regular:18 connected:2 but:6 significant:1 position:1 pair:2 class:5 stands:1 observation:3 considered:1 later:7 vertices:1 face:3 proceedings:2 points:1 notion:4 fact:7 precise:6 szi:1 particularly:1 show:1 definably:5 supported:1 contemporary:1 relation:2 definable:82 decompositions:1 miller:1 trivial:2 homology:5 cell:27 88b:2 series:2 behind:2 topological:27 lemma:9 only:13 difficulties:1 indeed:1 ztt:1 constant:10 preliminaries:1 hope:1 do:1 notation:7 means:1 occuring:1 subcomplexes:4 cannot:1 words:2 progress:1 aθ:4 years:1 acm:1 consisting:2 settings:3 fields:1 arxiv:3 expansions:1 summary:1 underlying:3 common:1 contain:1 identify:1 homeomorphic:10 fixed:10 remains:1 ik1:10 set:52 exists:25 notational:2 j0:4 richer:1 connections:1 y1:4 depends:5 individual:1 projections:7 y0:16 recently:1 theoretic:1 best:2 subject:2 satisfying:4 exponent:1 pisa:2 tend:1 unions:2 determined:4 various:3 closed:31 between:12 drawn:1 geometric:2 conditions:3 yi0:3 notice:6 terms:5 extend:3 nature:1 complement:1 jp:2 however:3 jm:2 saugata:12 hypothesis:3 key:1 amer:7 topology:6 hocolim:34 last:8 limits:8 many:1 patrick:1 space:2 homotopy:96 thom:1 cylindrical:3 figures:1 context:1 faces:1 adapted:1 ck:3 cj:8 ci:8 co:24 cn:3 cm:3 point:1 format:1 address:1 cohomology:1 cf:3 dimensional:1 polynomial:1 ordered:5 actually:1 cw:4 considers:1 ct:4 better:1 pp:7 differs:1 triviality:4 union:3 locally:3 due:1 been:1 z1:2 ai:42 much:1 interest:3 basic:6 extends:1 exactness:1 empty:4 define:3 describe:1 families:12 commutes:1 θa:1 cambridge:1 spanier:2 observe:2 thickenings:1 mail:1 c2:1 c1:3 general:3 present:2 case:8 georgia:1 exponential:13 defining:2 twenty:1 will:38 institute:1 while:2 suppose:1 applies:1 situation:1 di:1 property:6 urrutia:1 epimorphism:1 ip:9 thus:2 non:4 ii:5 viro:1 arrangements:40 im:2 ic:3 vietoris:2 technology:1 id:4 agarwal:1 different:4 ing:1 inc:1 grant:1 journal:2 80b:1 make:3 belong:1 adopt:1 same:9 clearly:6 complex:35 arguments:1 finite:24 composition:2 independent:2 used:4 refines:1 smale:2 keys:1 i0:6 i2:1 parametrized:14 auser:1 infinite:1 frequently:1 tighter:3 recent:1 relies:1 lower:1 coste:2 ingredients:1 well:12 subexponential:1 thought:1 without:4 components:1 lim:1 quantitative:4 model:2 ccf:1 dimension:1 researchers:1 usual:3 surveys:1 thickened:5 just:1 being:2 when:2 obtain:14 ideas:2 intervals:1 triangulation:12 facts:2 previous:2 2k1:1 εm:2 unique:1 preprint:2 family:24 instance:3 hab:8 seems:1 except:1 mathematically:1 book:1 corollaries:1 easy:1 theorem:77 skm:3 skk:1 generalized:2 real:4 vii:1 fibers:17 isomorphisms:7 read:1 ricerca:1 possible:1 gabrielov:2 background:1 press:1 using:7 intersection:1 occurring:4 pillay:3 worsening:1 semi:17 texts:2 homotopical:1 follows:10 history:1 arbitrary:1 translated:1 mcgraw:1 downward:1 topologically:1 mathematical:4 jean:1 because:1 often:2 yj:2 sequence:4 some:14 begin:1 deduce:2 2001c:1 examples:2 b2:1 moreover:10 images:1 extended:3 proofs:7 ourselves:1 tyi:2 vol:7 cp:7 bθ:3 avoid:1 rℓ:24 does:3 exposition:1 assuming:1 intersections:5 proc:2 minimal:27 refer:2 algorithmic:1 power:1 slight:1 elucidate:1 equivalent:25 continuing:1 bi:9 bj:1 notably:1 step:1 bp:1 simplex:7 cα:6 properties:3 complementation:1 comparison:2 about:1 trivialization:5 extension:1 complexes:10 theorems:13 discussed:1 o:31 compatible:3 yk2:1 yk1:1 involving:3 ensure:2 ti:9 mean:1 slightly:2 other:2 duke:1 soc:8 computational:3 convergent:1 inclusion:7 previously:2 into:6 preliminary:1 obtaining:1 bound:21 nsf:1 univ:1 chris:1 appropriate:1 accounts:1 determine:1 elementary:1 factor:1 van:5 area:3 strictly:1 there:31 question:2 composing:2 tame:1 ci1:1 handbook:1 way:2 lou:2 az1:11 az2:9 was:6 function:3 tight:2 north:1 form:2 hp:9 amongst:9 hj:6 gatech:1 hi:2 grigoriev:1 matematica:1 atom:1 russian:1 ha:19 true:2 applying:2 mat:1 consist:1 cells:3 up:1 us:3 wilkie:3 below:9 cip:1 limit:6 iterated:2 continuously:1 problem:4 similar:6 called:4 simplicial:5 detailed:1 partition:8 proved:6 ag:1 computing:2 defined:15 certain:2 abstract:2 aj:7 grunbaum:1 singly:8 denote:33 exist:5 formulation:1 corresponding:3 az:27 whitehead:2 pankaj:1 denjoy:1 functions:1 nk:1 completeness:1 no:11 allow:1 image:2 generally:4 pfaffian:6 graduate:2 field:4 interested:1 role:2 details:4 papers:1 mathematics:7 sharir:1 applications:1 elements:3 categories:1 polynomials:2 a1:22 important:3 bounded:22 variable:1 disjunction:1 structure:11 algebraic:17 implies:1 auxiliary:2 algorithm:1 assume:1 helly:3 berlin:2 together:4 time:4 xk1:1 original:2 |
0704.0296.txt |@word replacing:2 slope:1 concept:1 partial:1 consider:3 remarkable:3 similarity:2 j12:1 crucial:1 d74:1 global:22 jac:1 tion:2 leads:1 c3:4 supplement:1 generalize:3 overlap:1 computation:4 c2:8 follow:6 remarkably:1 gl:2 cases:3 gr:2 relationships:1 looking:1 quartets:1 inverse:2 producing:1 technique:1 tr:1 iib:1 finally:4 program:4 those:9 th:34 under:15 ivanov:3 fixings:1 andreev:1 include:6 norm:1 ingredient:1 case:18 belonging:1 labels:2 amplitudes:3 string:3 advantage:2 far:2 could:4 rise:1 choice:8 witten:1 putting:2 whatsoever:1 govern:2 inherited:1 emphasized:1 difference:2 matrices:3 condition:1 identity:1 3h2:1 quartic:1 solves:1 hamiltonian:6 turns:2 notes:1 nucl:1 list:3 solution:3 correct:6 large:2 solved:1 vector:4 restoring:1 recall:1 manifestly:6 eigenvalues:11 unifying:5 setup:1 b457:1 jhep:4 deliduman:3 unexpected:1 maccallum:1 m4:1 consistent:1 coefficient:1 za:66 lubanski:2 second:7 displays:1 zz:8 chen:1 further:4 dynamics:9 expressions:1 canonical:11 even:2 aim:1 what:1 nonlinear:1 developed:1 appear:2 d2:1 section:31 worldline:2 mechanics:1 labeled:1 expressed:2 brink:1 current:1 collecting:1 heron:1 version:38 above:23 fractional:1 new:16 colloq:1 row:1 cn:4 journal:1 contrast:1 satisfy:7 full:3 simultaneously:2 chose:1 lef:6 whose:7 realizations:1 component:2 residual:1 here:12 understanding:1 lack:1 believed:1 explore:1 test:2 groups:1 xν:1 directions:1 z5:6 along:2 equations:1 appears:3 obtained:5 generalizing:1 antisymmetric:2 clarendon:1 shift:3 elaborate:2 larger:2 completely:5 through:3 ignoring:1 akj:1 amount:1 products:1 launched:1 commutators:3 action:78 implement:1 proof:1 spacetime:10 involves:1 uniquely:2 emerge:3 fantastic:1 via:3 useful:4 projection:1 family:1 extra:4 apr:1 explained:5 diagonalizable:1 replace:1 remnant:1 iz:8 leftover:1 apply:4 vˆa:15 total:5 establish:2 derivatives:1 use:9 charge:5 usc:1 takes:5 usa:1 prove:2 covariant:26 positive:1 sends:1 contains:3 negative:3 100b:1 hilbert:7 classically:1 linear:3 eds:2 call:3 therefore:15 qcd:2 taken:4 robertson:1 type:2 tell:1 possible:4 more:14 duals:3 flat:3 seems:1 vpv:2 duality:13 started:1 brings:1 naive:1 factor:2 lightcone:4 r6:1 curvature:1 clue:1 tested:1 everywhere:1 observations:1 particular:5 known:3 jˆ2:8 hole:1 jˆ0:124 iii:1 must:15 states:19 account:2 valued:1 thanks:1 quantize:2 deformed:1 kaluza:1 equation:28 work:4 oscillator:3 modified:1 supercoordinates:1 theories:6 reviews:1 remain:2 infinitesimal:2 obvious:1 publications:1 ning:1 concepts:1 following:16 making:3 jj:1 drops:3 example:9 cartan:2 d13:1 tau:1 references:1 vv:4 ll:1 give:7 process:1 relativistic:4 superparticle:10 share:2 near:1 high:15 effectively:2 lorentz:2 performed:4 cubic:1 irreducible:2 corney:1 iφ:7 counting:3 distinguishable:2 occur:1 minic:1 angeles:1 respective:1 vanish:1 end:1 straightforward:3 dually:2 rather:3 s2:1 s1:1 acts:3 lett:7 s5:3 write:7 how:5 possibly:1 significance:1 answer:1 instead:4 parameter:3 belongs:1 map:1 staying:1 rept:2 blocks:1 description:7 algebra:10 may:3 after:5 southern:1 mapping:1 applications:3 wrong:1 produce:3 xlm:1 cambridge:1 βn:2 types:2 realized:2 supertwistors:1 dynamical:3 third:1 computations:5 light:1 gratefully:1 sp:21 relation:3 correspond:3 su:143 element:5 provide:2 sh:7 so:62 gamma:3 fundamental:4 sl:9 fedoruk:5 representation:18 order:3 origin:1 s0:1 remnants:1 valid:1 gauges:2 indeed:2 summarized:1 constrained:1 choose:1 interpreted:2 presence:2 gauged:2 d58:3 paper:12 including:19 ity:1 mentioned:3 existence:2 satisfies:7 still:4 excitations:1 its:21 before:2 supplemented:1 derive:4 group:12 xl:2 acknowledge:1 paths:1 fix:5 solving:2 proposed:1 lk:3 li:1 forms:6 absence:1 lu:1 degrees:34 systems:51 fermions:3 intl:1 jacobi:1 derivative:14 hidden:9 main:1 ηm:3 supersymmetry:4 mn:5 them:6 within:3 cimento:1 pure:1 integer:3 rotations:1 outlined:4 gauging:2 introduce:2 obeyed:1 mention:1 γl:1 simplifies:1 try:1 they:11 half:1 oxford:1 zima:1 now:14 discuss:3 2t:42 easily:3 term:8 xll:1 equality:2 x0:1 verifying:2 corners:2 university:1 level:23 backgrounds:3 hermitian:1 supersymmetrized:2 establishing:1 applied:8 magnitude:3 l2:2 l0:10 positions:2 found:1 organized:1 commutation:11 2h:23 side:8 constraints:13 spinor:24 lifted:1 weyl:1 proposing:1 series:2 energy:1 reduce:2 related:11 2hv:47 line:1 investigated:1 gave:2 expect:3 quantum:74 our:25 beyond:2 eq:46 special:4 out:13 emerges:1 shown:5 matrix:23 space:52 restricted:1 furthermore:6 since:20 lagrangian:2 projected:2 particles:23 transforming:1 equate:1 tests:1 differ:1 formula:1 get:3 twistors:24 math:2 shows:2 achievements:1 foreground:1 earlier:1 reformulation:1 theory:41 derived:2 mechanisms:1 diagonal:1 free:5 standard:8 reformulates:1 reason:2 california:1 besides:1 hand:1 generate:2 verify:2 pairs:1 counterpart:2 ds4:1 impose:3 involve:1 times:1 motion:4 turn:1 mab:2 pos:1 massive:9 hence:5 footnotes:3 subgroup:3 generalizations:3 rindler:1 first:7 xj:6 singleton:1 xi:9 features:1 symmetry:64 xm:3 vaa:2 variables:6 powerful:2 number:8 xim:9 spinning:21 multiplying:1 simplified:1 construct:3 another:7 carry:1 reached:2 xp:1 several:3 computed:8 given:38 checked:2 1t:10 requirement:2 similarly:2 eqs:10 system:7 relations:7 their:8 intermediate:1 master:16 listed:25 1g:1 iaz:1 iav:1 structures:3 frame:1 gives:7 shifted:1 insure:2 shell:1 building:2 relationship:1 tool:1 studies:1 eliminates:1 δcb:3 ix:1 62b:1 part:6 too:1 eliminated:1 zc:2 than:7 remember:1 expanding:1 theor:1 target:1 roles:1 penrose:6 sections:3 tree:1 zero:7 aims:1 contravariant:1 preparation:1 yρ:1 fermionic:4 determined:6 were:3 identical:1 entries:2 powers:5 descriptions:1 exhibit:1 bridge:2 xin:3 symmetries:23 picked:1 rewrite:1 footnote:3 explicit:1 κl:1 spectrum:5 direct:2 already:5 parameterized:2 conjugate:2 need:3 seen:6 recover:1 seek:2 any:43 lie:6 generalizes:4 built:1 broadly:1 check:2 studying:1 latter:1 mills:2 gravity:1 mechanism:1 brst:1 note:11 mix:1 potential:1 square:2 take:11 forces:2 green:1 coincide:1 techniques:3 better:1 transparent:1 relevant:3 xjl:2 brane:2 cachazo:2 trace:6 established:2 consistency:1 reach:2 prediction:1 most:5 quantized:1 entry:1 phase:47 formalisms:1 inserted:2 why:1 xµ:16 ka:3 don:2 observation:1 later:2 coincides:2 vertices:1 kl:1 shirafuji:1 yang:2 exp:4 aip:4 quadratic:3 left:6 physics:64 review:1 fact:2 minimal:1 sector:7 vasiliev:1 casalbuoni:1 index:1 show:1 grav:3 item:1 supported:1 page:2 purely:1 wµ:1 spaces:10 gauge:126 solutions:3 trivial:2 find:8 kuo:3 rel:1 x1:1 charges:19 parameters:5 much:3 explain:3 state:1 start:2 should:5 values:2 only:18 explicitly:5 black:1 matters:1 equipped:2 irrelevant:3 jad:1 hamiltonians:3 local:22 γn:2 demonstrated:2 κj:1 do:2 insight:1 establishes:1 klein:1 means:2 familiar:1 sytems:1 de:1 overall:3 satisfied:4 cannot:1 actions:5 closely:1 despite:3 combinations:2 applying:5 he:2 γm:12 gen:1 insertion:1 itzhak:1 closure:1 produced:1 extract:1 evident:2 course:4 fields:1 arxiv:26 fixes:2 remove:1 summary:1 33a:1 predicted:2 contain:2 uncover:1 fixed:26 discussing:1 traceless:5 doublet:2 view:5 composite:1 reveals:1 bars:18 set:10 captures:1 constructing:1 achieved:1 imposing:1 generally:1 unpublished:1 2i:4 j0:45 j2:6 j3:4 see:15 individual:1 sec:1 result:8 eliminating:1 discussions:2 embeddings:2 theoretic:1 momenta:1 best:1 subject:2 erators:1 satisfying:1 tensor:1 ways:1 subsequent:1 away:1 supergravity:2 symmetric:3 d59:2 written:10 future:2 various:7 between:12 understood:1 invariant:31 approach:6 quantities:1 generators:6 terms:24 twistor:84 neveu:1 εik:1 εij:2 however:5 δad:3 jm:1 vanishing:1 concentrate:2 key:1 multiplier:1 distinguish:2 generates:1 jetp:1 remaining:5 jc:3 both:3 interpretations:1 instant:1 avoid:1 spectra:1 many:6 taking:3 according:2 quantization:10 etc:1 connection:3 context:3 casimir:17 exceeds:1 perturbative:2 expression:6 modification:1 among:9 lm:7 dobrev:1 δab:13 nonrelativistic:2 simple:1 cb:1 ca:1 each:4 harmonic:3 dimensional:3 superstring:3 taylor:1 simply:2 framework:1 lagrange:1 wider:1 proved:1 j02:1 offered:1 j04:3 covariantly:2 branes:1 considering:1 lv:8 pp:2 applies:2 pv:11 transformations:13 basis:1 addition:1 observing:1 strings:2 ing:1 due:7 been:3 ja:28 ai:1 describes:3 combined:1 basic:3 expected:2 figure:1 sµν:7 anomaly:1 helicities:2 nuovo:1 susy:1 contribute:1 corresponding:4 deeper:1 commutes:2 route:1 sufficient:1 subspace:3 covariance:2 pαβ:2 lift:1 univ:1 ours:1 lifting:4 last:6 worked:2 maximally:2 spin:64 c6:1 present:3 c4:4 p2:6 compatible:3 kappa:32 invariants:2 oneloop:1 harder:1 conserved:13 value:4 choices:7 will:26 information:6 while:5 proves:1 replaced:5 viii:1 lukierski:2 aij:6 cancelled:1 property:10 conformal:10 study:2 procedure:1 b632:1 iy:3 va:22 unitary:10 vol:2 vi:1 metric:4 formulation:3 thus:8 non:9 iv:2 ii:2 ih:3 adτ:1 ij:5 il:1 dual:1 beautifully:1 ia:1 leaving:1 superconformal:1 currents:3 compactified:1 different:17 classified:2 verified:1 grant:1 things:1 formulations:3 indistinguishable:1 same:31 orders:3 checking:1 d70:1 complex:8 quant:2 arguments:1 pauli:3 avoids:1 survey:1 physical:33 breaks:1 evidence:1 higher:12 independent:3 used:13 infinity:1 embedding:1 again:1 squaring:1 22nd:1 sym:1 companion:2 doublets:1 levels:1 uses:1 potentials:1 infinite:5 build:1 assortment:1 conveniently:1 normalization:3 recent:1 relies:2 lower:1 off:1 pµ:22 xjm:1 makes:1 diverse:1 xjn:4 well:12 graviton:1 obviously:1 directly:7 without:3 resuming:1 machinery:1 components:6 pursued:1 very:2 position:2 model:11 dimension:2 usual:3 unified:1 vˆm:1 just:7 ibid:2 being:3 when:12 paragraph:1 vˆc:2 obtain:8 rest:3 vanishes:3 underlying:5 hja:1 transforms:6 unifies:1 immediately:1 ωm:4 alternative:1 captured:1 previous:8 bearing:1 conjugates:6 ads:3 generator:3 hint:1 regarded:2 point:9 guaranteed:1 except:2 realize:1 appeared:1 setting:1 projects:1 versa:1 theorem:4 role:1 consideration:1 transformation:12 momentum:5 generalized:6 noether:6 rescaled:1 iλ:2 spinless:6 reparametrization:2 rev:12 eigenvalue:5 rules:16 showing:1 iε:1 2v:1 corresponds:5 svrcek:2 vα:3 quest:1 unification:7 helicity:7 press:2 using:27 complexification:1 vˆ2:1 vˆ1:1 supergravities:1 insert:1 rotate:2 imposed:1 like:4 particle:46 identifying:1 follows:8 reduces:5 performing:1 manifest:3 specific:1 imposes:2 yields:3 either:3 arbitrary:4 mhv:1 tower:1 holomorphic:1 ferber:1 discussion:4 spins:3 δa:5 unexplored:1 shed:1 dualities:9 methods:7 namely:3 lectures:2 ignored:1 successfully:1 some:10 pσ:3 deduce:3 ads5:2 learn:2 examples:2 choosing:2 b3:1 kinds:1 unify:1 intact:2 adsd:1 revealing:2 provided:5 describing:1 dimensions:39 lead:3 richer:1 tools:1 ones:1 classical:20 whole:1 parametrizing:1 eliminate:2 provides:2 prog:1 steps:1 proc:5 schwarz:3 convenient:2 refer:1 inserting:7 presented:1 meanings:1 obey:2 supersymmetries:1 intimate:1 rescale:4 equivalent:7 predicting:1 agreement:3 picon:1 dropped:2 although:2 eiφ:2 described:8 relating:1 coset:9 super:3 properties:17 rearranging:1 about:1 would:2 world:1 constraint:23 column:1 freedom:36 discussed:19 o:1 pν:1 practical:1 remains:2 plus:1 done:3 act:1 introduced:2 supergroups:1 automatically:4 d73:2 equally:1 own:2 real:1 followed:1 inclusion:1 h2:1 ηn:1 into:9 formulae:1 integral:1 three:4 down:1 pair:1 appropriate:3 because:6 accounts:1 determine:4 operator:11 proportional:5 next:3 bosonic:15 vii:1 vj:1 outline:1 spinors:8 jµν:1 hep:35 hinted:1 vˆ:24 comparing:1 there:10 transform:38 class:3 los:1 restricts:1 dropping:2 isham:1 way:1 ed:2 scientific:1 analyze:1 was:18 function:5 complexified:1 complete:1 form:38 governs:2 hr:2 examine:1 hv:3 but:12 sophisticated:1 mysterious:1 starting:2 repeatedly:3 atom:3 fg03:1 true:1 partially:2 count:1 traces:1 made:2 compute:8 embedded:5 versions:6 conf:4 minkowski:2 up:8 us:8 theoretical:1 below:10 limit:2 demonstrate:1 embed:1 pm:8 similar:7 agree:2 connect:1 detailed:1 block:1 ac:1 ab:5 constant:5 computing:4 defined:1 abstract:1 describe:4 bulgarian:1 covers:1 general:22 2ha:9 single:3 sometime:1 right:5 predictions:1 relates:4 supersymmetric:2 hydrogen:2 formalism:5 commuting:2 simplest:2 computational:1 constructed:6 classifies:2 functions:1 lightlike:2 want:1 no:4 fixing:5 wavefunction:1 claiming:1 detail:2 jcd:1 field:9 definitions:2 other:25 remarks:1 details:4 jcb:2 becomes:6 department:2 b641:1 massless:35 operators:9 conclude:2 ads4:1 elements:2 ads2:1 ads3:1 models:2 supergroup:6 4i:6 αn:4 includes:4 commutator:1 important:2 allowing:1 vectors:1 included:3 hanson:1 astronomy:1 structure:8 ago:1 independently:1 implies:2 coupling:4 vice:1 restores:1 dτ:38 pseudo:1 interacting:3 together:3 jab:30 equivalently:4 itself:1 mass:4 dot:1 time:13 walker:1 observables:9 flexible:1 requires:5 having:1 once:2 |
0704.0297.txt |@word represent:2 now:1 code:11 consider:1 remarkable:2 secondly:2 reasons:1 magnetic:6 lack:1 results:10 produce:1 integration:1 illustrated:3 disc:38 entropy:1 grateful:1 consists:1 follow:2 expressions:1 faster:1 mp:14 marching:1 layers:10 increase:5 guerrero:6 depend:2 calculate:1 producing:1 technique:1 young:1 tp:27 former:1 ıa:1 quasi:14 does:2 present:10 th:1 marks:1 inwards:2 include:4 cm3:1 tc:13 carried:1 labels:3 consequently:3 bowers:1 very:8 implicitly:2 rise:1 radius:2 account:2 induce:3 wave:4 electron:3 figs:3 5min:1 affect:2 outer:3 existing:1 exact:2 aa4:1 condition:1 car:1 school:1 induced:4 beginning:1 level:1 did:1 dif:1 shock:4 list:2 occurs:4 large:3 kondo:2 settle:1 avoiding:1 rev:1 study:7 originally:1 degeneracy:1 concluded:2 upper:3 work:5 force:5 occurrence:1 findings:1 thin:3 consistent:1 paczy:2 goldreich:1 progenitors:2 approximation:2 threshold:1 rate:44 pasp:1 profiles:1 further:7 dynamics:1 estimated:1 canonical:1 even:9 established:1 lists:1 hernquist:2 discus:1 chicago:1 anton:1 section:2 interactions:1 while:11 networks:1 current:1 experiment:1 suspect:1 above:7 international:1 fedorova:2 thielemann:1 consisting:3 contrast:1 3d:1 quenched:1 ρv:3 explosion:7 dwarf:68 degree:1 whose:1 respectively:7 presence:1 mr:24 equals:2 here:8 hours:1 growing:1 explore:1 test:1 expansion:1 excess:1 path:2 along:6 strong:2 equations:1 appears:4 change:2 contraction:1 obtained:5 institute:1 slow:1 elaborate:1 larger:5 allows:1 completely:1 experience:1 hydrostatic:1 suggests:1 amount:7 aa3:1 products:1 ab5:1 bon:1 nski:2 formation:2 history:1 studies:7 point:1 blackbody:1 flash:1 followed:3 although:3 extra:1 apr:1 hermite:1 9c:1 9b:1 marked:2 weigert:2 remnant:90 decrease:3 apply:1 neutrino:27 total:11 research:1 unit:1 eddington:3 use:8 indicated:6 would:5 remains:2 positive:2 contains:1 visit:1 negative:1 next:1 few:7 m1:2 therefore:5 m2:2 inner:1 astr:1 panel:8 type:7 until:1 minor:1 more:12 smeared:1 setup:1 furthermore:2 relevant:1 becomes:7 mwd:5 envelope:41 ad2:1 keplerian:26 disruption:2 rigid:3 apjs:3 particular:2 known:2 cases:3 iv:2 iii:3 circle:1 must:11 compressional:10 high:10 mg:1 rotational:8 organization:1 grant:1 science:2 equation:4 mn:1 centrifugal:4 centrifugally:5 reproduce:1 ρp:2 debated:2 erg:5 values:8 temperatures:2 starts:1 following:9 onemg:5 ingredient:1 springel:2 example:2 numbers:1 control:1 compare:1 ta1:5 figure:15 give:2 calculation:5 channel:1 benz:4 neglected:4 implementations:1 sph:24 indicates:1 assumptions:3 thus:6 performed:2 degenerate:1 allowed:1 isothermal:4 langer:9 hydrogen:3 occur:4 simple:1 axis:4 needs:1 end:3 challenging:1 falls:1 rather:4 discussion:2 differences:1 chabrier:5 offspring:1 delay:1 dependent:1 hot:15 pure:1 dotted:4 acta:1 weakened:1 explains:1 dd:1 profile:7 sne:3 description:1 binary:6 may:24 thermodynamic:3 earlier:1 derived:1 different:16 jump:1 corrector:1 explored:2 pattern:1 retain:1 cambridge:1 revealed:1 preferentially:1 constants:1 accrete:2 short:6 dynamical:20 effective:11 interpolated:1 computations:1 sr:1 spectra:1 lines:2 correspond:1 kohyama:1 sj:1 switch:4 davies:3 sn:7 τr:1 reduced:1 species:1 sa:6 first:3 order:4 nelemans:2 ignite:1 ulich:1 least:3 remnants:2 feedback:1 indeed:1 astronomical:1 summarized:4 mainly:1 satisfied:1 years:4 produced:2 l19:1 thermal:30 compact:2 including:3 statistical:1 spheroidal:2 erot:4 uva:1 cold:22 still:2 its:4 before:5 chemical:1 jacobs:1 rapidly:12 burning:17 chandrasekhar:8 located:3 continued:2 masses:2 relativity:1 decreases:7 better:3 detected:2 production:2 dwarfs:19 mail:1 freely:1 might:5 shear:7 emphasize:1 eventually:3 them:2 good:1 widely:1 rcore:1 similar:3 material:1 innermost:1 fig:32 introduce:1 number:4 disrupted:2 supercomputer:1 effects:6 they:5 rosswog:20 oxford:2 rotation:17 yr:26 nop:2 nor:2 ba2:1 easily:1 february:1 netherlands:2 init:2 dessart:3 oxygen:10 always:1 university:7 grows:2 explode:1 merge:1 filling:1 magnitude:4 mode:8 toroidal:1 fields:2 shrinks:1 found:3 higher:5 accretor:1 afforded:1 significantly:11 transported:2 evolve:1 generation:7 there:2 energy:22 reduce:1 approximates:1 used:7 crit:4 fraction:2 static:10 interplay:1 assumption:3 approximated:1 avoided:6 eq:4 out:3 shown:19 dominates:3 network:11 factors:3 gradient:3 3rh:1 surrounded:3 induces:1 kitaura:2 egrav:4 denotes:4 particles:5 re:1 contained:1 conclusions:1 dsi:3 heating:12 dominate:1 ref:1 integrated:1 shows:10 baron:1 jtot:1 after:11 state:11 favored:1 interscience:1 possibility:1 standard:2 minit:3 approaches:1 threedimensional:1 california:1 estimate:3 hand:5 itoh:2 inevitable:3 isern:1 log:8 incorporates:1 hubble:1 cri:1 r0:3 r1:2 mcore:14 grad:1 could:3 but:9 so:2 enforce:2 monaghan:9 massive:3 transfer:1 consequence:1 uses:3 onto:9 9a:2 purpose:1 losses:2 already:1 features:1 simply:1 timmes:2 schubert:1 thesis:2 primary:16 reaches:11 clear:1 smaller:3 construct:3 directly:1 overheating:1 carry:1 reached:2 thick:11 precisely:1 angular:50 size:1 aa5:1 given:6 long:4 temperature:49 likely:5 their:4 introduction:1 top:2 system:5 adopted:6 roche:1 indicate:5 cooling:28 accretion:58 rates:9 1d:1 calculations:10 aa2:1 aa1:6 white:87 scheme:1 emphasized:1 final:3 gives:5 shell:1 nomoto:18 collapse:6 ratio:1 difficult:1 relative:1 accurately:2 plane:12 released:1 too:1 simulate:2 authors:1 than:36 specify:1 boffi:1 diffusion:16 distance:1 tutukov:6 critically:3 double:15 approximations:1 tree:1 imply:1 τth:3 smoothed:2 matter:13 quasistatic:3 determined:5 flame:4 circulation:1 were:3 flashes:2 outcome:1 treated:3 torques:4 enforced:1 7c:1 7b:1 7a:1 ran:1 τacc:2 mind:1 ichi:1 curves:2 τj:24 compression:1 confirms:2 clearly:1 karl:1 relatively:3 iben:10 forced:2 min:8 efficient:1 latter:1 able:1 si:1 apj:16 outward:2 onset:3 instance:4 potential:2 forces:2 new:3 subject:1 hp:1 eff:8 sect:8 play:2 towards:1 unless:3 centre:1 price:4 sets:3 viscosity:8 popham:2 mimics:1 most:8 boltzmann:1 rigidly:4 germany:1 printed:1 significant:5 quantitative:1 sa3:2 alpha:4 sa1:12 phd:1 why:2 sa4:4 latex:1 binaries:3 especially:1 ignites:8 considered:12 sensitively:1 calculated:4 implications:1 ρvr:1 ramirez:2 reaction:3 verlag:1 principle:2 exp:1 subsequent:1 velocity:10 firstly:2 fact:1 gain:3 wynn:2 somewhat:1 show:5 text:1 fricke:1 supported:8 andersson:3 rotating:26 evolutionary:15 kippenhahn:2 propagates:2 carefully:1 uniform:1 liebend:2 find:2 help:1 ae1:4 ba4:1 finally:3 based:2 ba3:1 parameters:4 ba1:4 merger:46 explain:1 ox1:1 ba8:2 should:16 only:13 candidates:1 morris:2 rich:2 developed:3 employed:2 helmholtz:1 roughly:2 local:41 over:5 ruiz:2 equilibrium:18 spun:1 std:6 predict:1 dominant:1 means:1 lobe:1 secular:7 de:1 stop:1 fluid:3 soon:2 define:1 cannot:4 nearly:1 words:2 despite:4 during:5 sions:1 neither:2 secondary:10 symbols:1 evolution:61 resolve:1 bar:4 densities:2 turbulence:1 approach:1 coalescence:10 arxiv:1 method:1 investigate:5 cf:2 hydrodynamic:3 release:1 shocks:1 discussing:3 inside:2 mergers:9 black:1 shapiro:2 shedding:4 set:1 art:1 detail:3 seq:26 angularmomentum:2 up:5 observed:1 see:18 individual:1 sec:5 result:7 enhanced:2 livne:1 discussions:1 close:6 contour:2 best:1 seems:1 appear:1 friedman:3 explodes:1 saio:11 nuclear:17 panels:3 thermonuclear:3 artificial:6 label:3 favor:1 enough:2 future:3 4πr:4 envelopes:1 between:11 lowered:2 conditions:5 hence:1 ken:1 comparable:1 wd:2 terms:3 ωo:6 positron:1 opening:1 initially:3 tmax:9 supernova:3 prior:1 points:1 style:1 jr:5 however:11 2003b:1 reproduces:1 ji:2 key:1 limitation:1 interface:21 carbon:59 configuration:3 distribution:1 suggested:1 both:11 essentially:2 stages:2 prescription:3 limits:1 norbert:1 many:2 region:4 orfer:2 equal:1 against:1 fulfilled:1 merging:3 objects:1 figures:1 inward:1 exceeds:2 whole:1 how:2 otherwise:1 detailed:1 adjusted:1 solving:1 co:37 necessary:2 cm:19 conclude:3 ρs:1 sweet:1 deposit:1 way:3 corresponds:2 height:1 dimensional:3 ii:3 stretching:1 swesty:2 sequences:18 polynomial:1 table:14 cp:3 veni:1 pulliam:1 mtot:2 tabular:1 considering:1 forms:1 described:5 stretch:1 gravity:1 will:6 three:2 been:13 much:10 slowly:3 combined:1 expected:5 extends:1 ph:10 suggestions:1 systems:3 led:1 adapting:1 mcm:1 relations:1 controlled:4 ranging:1 qse:1 received:1 suppress:1 thousand:2 gas:3 precision:1 deter:1 moment:1 berro:1 exploding:1 astron:1 last:1 resultant:2 ott:1 mcr:10 those:6 case:11 main:1 uncertain:1 scientific:1 supernovae:3 structures:1 solid:4 steep:2 single:1 value:11 hillebrandt:2 near:1 weaken:1 ignition:31 none:2 promising:1 investigating:1 converted:2 taking:1 operate:1 seven:1 studied:1 coupled:2 simulations:7 iu:1 non:5 surface:5 according:7 couples:1 middle:2 itself:1 ia:15 helium:4 ig:23 greater:1 orbital:2 capture:2 containing:1 since:2 ab1:4 lengths:1 suggest:2 intended:1 radiation:5 ab2:1 same:9 any:1 shorter:3 lindblom:2 epoch:1 ab3:1 potentially:1 underestimate:2 schematic:1 units:6 ab4:1 several:4 propagate:1 composition:1 neutron:5 interpolation:1 fairly:2 yoon:15 paths:2 morphologically:1 numerical:2 hotter:1 effect:7 flows:2 possible:3 v2:1 compared:3 napiwotzki:3 hydrodynamics:2 spurious:2 implementation:1 php:1 recent:1 lower:16 off:23 center:28 scenario:1 zerotemperature:1 makes:1 motions:1 gagliardi:2 well:4 increases:4 physics:3 piran:1 without:6 utrecht:1 teukolsky:2 components:1 consistency:1 coordinate:8 accreting:12 model:23 redistribution:2 arising:1 left:2 ratios:1 ae:1 less:2 epochs:6 rest:2 bremen:4 shape:5 via:1 yungelson:3 filled:2 sufficiently:4 regardless:1 yes:20 r3:2 yet:2 previous:11 note:9 rapid:2 spruit:2 density:17 photons:1 scales:1 had:1 nwo:1 source:1 diffusivity:1 transformed:1 location:4 inducing:3 reason:1 gmr:1 guarantees:1 heidelberg:1 momentum:44 master:1 comp:1 tests:1 livio:5 around:8 fate:3 alternatively:1 characters:1 outermost:5 regard:1 absence:3 term:2 elapsed:1 ferent:1 cruz:1 suffering:1 mon:1 press:1 using:4 accepted:2 stable:1 hereafter:1 loss:23 rotate:2 imposed:1 lost:1 particle:6 ad1:2 systematically:2 follows:1 piersanti:7 tend:2 noted:1 specific:2 keble:1 steps:1 either:3 lose:1 ρc:2 become:2 conclusion:5 differentially:6 interestingly:2 making:1 therein:1 exceed:1 right:2 old:1 methods:1 classical:5 sequence:6 ρye:1 some:4 springer:2 understood:4 growth:3 examples:2 oscillations:1 uncertainties:3 transport:4 immediate:1 another:1 scale:20 transmutations:1 denote:1 lead:7 kruislaan:1 stronger:1 speith:2 avoid:4 investigations:1 janka:2 comments:1 webbink:2 useful:1 rmxac:1 ac1:4 critical:19 assuming:1 unstable:1 mined:1 narayan:2 balsara:5 minimal:1 refer:1 morsink:3 core:25 process:5 run:1 ba:3 reach:1 each:3 conventional:1 illustration:1 stellar:12 pressure:4 step:1 occurred:1 santa:1 instability:14 tidal:1 post:2 refers:1 super:3 properties:1 stage:2 acc:9 comparison:3 about:12 central:61 usa:1 column:3 theirs:1 discussed:2 simulation:23 addition:1 plus:1 hix:5 ox:1 importantly:1 hatched:1 cameron:1 slightly:2 predictor:1 road:1 soc:1 thinner:1 garc:1 tsim:2 formerly:1 keeps:1 previously:2 maxwell:2 into:9 within:8 numerically:1 nse:1 due:23 included:3 appropriate:1 because:1 references:2 determine:2 sa2:3 computational:1 amsterdam:2 theoretically:1 pannekoek:1 additional:1 podsiadlowski:7 artifacts:1 assumed:6 initial:20 specifically:1 smoothing:1 compressible:1 low:4 stars:5 astrophysics:2 deposited:1 budget:2 yrs:3 was:5 opens:1 damping:1 function:14 form:2 equatorial:2 fundamentals:1 forming:1 relaxed:1 examine:1 delayed:3 extended:6 sophisticated:1 astro:3 heat:2 properly:2 underestimates:1 mnras:7 line:2 removed:1 true:1 hottest:1 he:2 rotates:1 absent:1 submitted:1 improved:1 mochkovitch:9 holes:1 whether:1 characteristic:1 gravitational:9 burrows:1 maximum:7 us:2 below:6 astrophysical:1 limit:13 uk:2 continuously:6 problem:1 2003a:6 minutes:4 called:1 nature:1 expect:1 aa:3 ac:2 ab:3 constant:6 conserves:1 factor:1 af:1 defined:1 steady:1 abstract:1 describe:1 influence:2 general:1 koester:1 engineering:1 willey:1 periods:1 file:1 our:27 corresponding:4 campus:1 tornamb:2 physical:1 machine:1 again:1 oversimplification:1 nl:1 eventual:1 no:26 dashed:5 when:19 ne:1 reality:2 acknowledgments:1 other:11 role:6 details:3 branch:2 changes:1 department:2 ǫth:7 sufficient:1 artificially:1 polar:1 star:10 energetic:1 models:26 bottom:2 emission:1 important:9 peak:23 additionally:1 n1:4 dissipation:5 astronomy:1 structure:13 illustrates:1 hayashi:1 younger:1 longer:4 assume:1 hp2:1 age:1 columns:4 curve:10 orbit:1 having:1 eos:3 segretain:5 mimic:2 implied:1 mass:73 dot:1 begins:1 time:37 n0:7 luminosity:1 nuclei:1 accreted:6 requires:1 original:1 once:3 |
0704.0298.txt |@word itk:1 2c1:2 q1:6 aº:1 ln:6 kα:45 tm:1 γn:8 lp:16 kτ:2 sup:9 xdt:2 dx:3 dt:39 aν:4 ds:5 rµ:3 arxiv:1 t2:18 t0:5 t1:13 µp:20 nν:7 2c:2 2m:11 qk:3 qn:12 sep:1 øa:1 yº:1 rº:10 rλ:1 es:5 er:29 rt:10 ak2:2 qº:1 ωk:28 rz:10 m2n:1 rc:1 rm:3 rn:6 math:1 αn:1 rkα:3 l1:3 ln1:1 jh:2 e1:1 2n:7 cαk:1 r1:1 0h:1 22n:2 dξ1:1 xm:7 limt:1 xr:22 cr:18 limτ:1 1r:2 rcr:6 m0:1 pk:2 tk:3 dξm:1 c1:5 c0:7 eα:8 mm:1 ml:2 2πk:1 mn:11 ωt:1 mk:16 2πn:8 mu:33 nº:2 nµ:2 deg:2 ac:3 ab:1 νr:1 ak:13 am:8 dξ:7 im:26 ind:1 ax:3 inf:3 nn:2 min:5 lim:6 mµ:1 k2:5 nr:1 nt:13 sin:6 max:4 xº:8 fa:1 ξm:1 min2:5 fn:2 axr:2 dτ:3 kh:1 4s:2 sn:2 eiθ:1 n0:11 µt:2 imλ:1 |
0704.0299.txt |@word squared:3 magnetic:3 four:4 consists:3 whose:5 calculate:5 bimetric:1 under:3 updated:1 basics:3 solution:36 convenience:1 vector:25 plete:1 indices:3 levicivita:1 force:4 coordinate:3 direct:1 approximation:8 second:19 htijt:1 qualitatively:1 even:1 above:2 new:20 contributes:1 gyroscope:1 ρv:1 c0i:1 never:1 equals:1 here:10 jcap:1 interpret:1 contraction:3 obtained:6 study:10 procedure:6 pullin:2 spacetime:12 prints:1 explained:1 highly:2 rτ:1 specifics:1 total:1 unit:3 derivatives:6 would:8 chooses:1 noting:2 overhead:1 therefore:9 m2:1 robertson:1 type:8 until:1 curvature:4 hole:2 hold:1 must:2 me:1 springer:2 ma:12 rν:4 setup:2 work:6 theories:13 suggestive:1 example:8 wang:1 relativistic:1 times:1 end:1 provide:1 verify:3 travel:2 revisit:1 how:4 answer:1 classify:1 summarize:1 law:3 bekenstein:1 attempt:1 effective:10 chern:10 greek:1 witten:1 green:2 order:52 restriction:1 interpretation:10 satisfied:1 xi:1 london:1 satisfies:2 fix:1 writing:1 better:1 shear:1 them:1 amenable:1 break:1 effects:8 they:2 electro:4 classified:2 hepth:1 reasonable:1 each:3 side:5 mean:2 series:1 cmb:3 combining:3 ivashchuk:2 rr:2 particles:4 laid:1 unrelated:1 ra:17 reader:1 forth:1 foundation:1 nia:5 linear:10 associate:1 birefringence:3 standard:20 c00:3 cosmic:2 ath:5 δil:1 δim:1 δij:8 signature:1 corrections:16 moving:5 speeds:1 already:4 features:1 encouraging:1 spinning:5 warped:1 another:2 pulsar:3 illustrate:1 mercury:2 xia:2 similarly:2 eqs:2 needed:2 perturbations:5 ranging:1 zeroth:1 weakly:2 distance:4 matter:5 stratified:1 hνλ:2 powers:2 perturbative:1 seminal:1 fashion:1 rewrite:2 seen:1 unaffected:3 convenient:1 latter:4 forces:5 isolates:1 bruck:1 shall:26 object:2 viscosity:1 simplify:3 steinhardt:1 calculated:2 points:1 principle:7 parenthesis:1 came:1 probe:4 gauge:22 solutions:13 civita:7 earth:1 d4:1 d2:1 d3:4 d1:1 proposed:6 explain:1 t0i:1 adequate:1 g00:6 axion:1 do:1 scientists:1 fluid:17 preferred:4 da:1 watson:1 dx:1 dt:2 unfortunately:1 g0i:15 4πp:1 fields:2 twice:1 blanchet:1 explanations:2 2δij:1 testing:1 δjm:1 δjl:1 depends:5 result:1 discussions:1 dµ:2 turyshev:1 subject:1 tensor:41 cosmologies:1 symmetric:2 d59:1 caves:1 terms:33 nature:1 component:7 weak:13 however:15 wi:13 manko:1 rγδ:1 wx:1 hρρ:1 brax:1 ilk:1 merging:1 0j:1 contribution:7 0i:6 adapted:1 ansatz:3 basis:1 three:1 been:15 much:2 expected:1 schutz:1 dots:1 rαβγδ:1 relaxing:1 quantities:2 spin:11 mashhoon:1 applied:1 exception:1 wagoner:2 employ:1 near:2 leaves:1 picturing:1 3na:1 iv:2 ii:2 ij:5 ie:1 perform:2 make:2 turok:1 dimensionless:5 several:1 independent:4 numerical:1 hand:3 hydrodynamics:1 potentials:19 prescribed:2 narrow:1 scenario:4 lightman:1 changes:1 pursued:1 paradigm:2 possesses:1 left:4 just:1 newton:1 identify:2 spherically:1 yet:1 previous:9 adding:1 had:8 advancement:1 macdonald:1 noether:1 breaks:1 possible:9 possibly:2 background:5 rµν:3 greenschwarz:1 unique:1 advanced:1 occurring:1 performing:2 unnecessary:1 specific:4 schwarz:2 right:1 successfully:1 deflection:1 paragraphs:1 gyroscopic:1 electromagnetic:1 unavoidable:1 comments:1 embodies:2 friedman:1 compactifications:2 leptons:1 post:5 super:2 properties:1 proceed:3 o:77 d68:1 slightly:1 automatically:2 d62:1 presence:6 maxwell:1 obtaining:1 ppn:80 uncontrolled:1 down:3 acad:1 vafa:4 support:2 transform:2 class:3 conservation:3 way:2 was:8 gij:6 lowest:2 form:8 differences:1 2hρ:1 solar:3 understood:1 bounds:2 tseytlin:1 stages:1 conserved:3 dν:1 simulations:1 check:1 physical:7 nh:1 ni:5 no:5 na:13 whereas:1 when:4 vanishes:10 handed:2 papers:1 test:3 vanished:2 picture:1 superposition:1 b316:1 teixeira:1 regime:2 assume:3 pseudo:2 dσ:2 together:2 time:5 push:1 quantity:6 customary:1 varying:2 leads:8 microwave:2 inverse:2 depend:2 finally:3 analogous:1 string:22 alambertian:2 could:19 choice:3 exact:2 riemann:2 solves:1 level:1 sundrum:2 proposals:1 solved:4 klm:1 morsink:1 discover:1 postnewtonian:1 adds:1 stands:5 current:3 annals:1 lifshitz:1 satisfy:2 perpendicular:1 appears:1 change:1 institute:1 shift:2 studied:9 funded:1 poisson:1 usually:5 spatially:2 extra:3 planck:2 d72:1 d73:1 d71:1 d74:2 covariant:4 positive:1 predictions:14 scenarios:3 bender:1 criteria:1 scope:3 associated:1 theoretical:4 dxµ:1 apparent:1 validity:2 visual:1 appendix:9 parameterize:1 inertial:2 constraint:12 modified:31 reviews:1 believed:1 arrive:4 geometrized:2 expanding:1 performed:3 dxi:1 allowed:1 counting:2 divided:1 write:3 parameter:23 product:1 rept:1 fueled:1 levi:7 produce:2 stress:12 natural:1 sectors:2 explicit:2 thorne:2 cosmology:1 so:10 fortuitously:1 definitions:2 se:1 acts:2 subsections:1 indeed:3 mainly:1 course:1 experiments:8 still:2 observational:1 relegate:1 thank:2 chandrasekhar:1 acknowledge:1 interesting:3 curls:1 non:11 introduce:2 precession:7 identically:3 now:8 discuss:2 nor:1 term:35 spacetimes:1 tichy:2 james:1 kerr:4 possibilities:1 instability:1 el:1 domain:1 square:1 misner:1 ef:10 conventions:1 astrophysical:1 proportional:4 operand:3 eq:37 gonzalez:1 living:2 shown:2 space:8 furthermore:2 lagrangian:2 cancels:2 suggesting:1 theory:41 divergence:3 possibility:1 mapping:5 complicated:1 remainder:1 derivation:4 impose:2 iterative:2 motion:13 place:2 neglect:3 first:12 origin:1 simplifies:1 hλ:1 xf:1 directly:3 carry:1 angular:20 xu:1 given:16 cµν:8 convention:2 national:1 transverse:1 than:1 hepph:1 third:4 require:2 future:4 were:3 san:1 correction:49 any:7 ideas:1 note:24 potential:14 coincide:1 begin:6 multiple:2 trace:7 price:1 sutton:2 considered:2 later:2 implications:2 kozameh:2 laws:2 show:4 recipe:1 fifth:1 slow:2 written:1 only:20 explicitly:1 black:5 developed:2 membrane:2 cannot:3 nearly:1 ged:4 laguna:1 boundary:1 4dimensional:1 predicted:3 characteristic:1 ysis:1 reveals:1 ricci:9 physically:1 j0:1 relative:2 namely:16 progress:2 permeates:3 enlightening:1 review:1 outside:2 between:3 αi:2 justified:2 multiplied:2 concentrate:1 ji:1 virial:1 suppressed:3 ja:15 originates:1 region:1 propagation:3 dated:1 embedding:1 expression:1 comes:1 colons:1 grants:1 colon:1 moreover:2 considering:1 come:1 tensors:3 direction:1 6f:2 external:1 former:1 those:4 case:6 promising:1 irrespective:1 conformal:1 characteristics:1 twists:1 couples:3 canceled:2 peskin:1 zhang:2 technology:1 binary:7 different:11 formalism:8 develop:1 stressenergy:1 same:5 epoch:1 nanopoulos:1 dα:2 investigated:1 totally:1 linearize:1 modes:4 pennsylvania:1 without:4 solve:6 components:5 very:2 model:8 binaries:2 dimension:1 bodies:5 charged:1 r00:1 manifold:1 being:1 rest:5 unclear:1 differentiation:2 speed:2 leptogenesis:1 thinking:1 seems:1 dicke:1 wall:2 lett:10 samples:1 momentum:17 2u:12 read:5 r0i:1 using:3 mod:1 brandenberger:6 particle:6 reduces:6 velocities:2 either:3 specified:2 nonzero:1 provided:1 ellis:1 dimensions:2 moon:1 lunar:1 measuring:2 power:1 orszag:1 2m:1 discussed:2 generated:1 stand:6 act:2 discusses:2 perturbed:1 cambridge:7 inclusion:3 ηh:4 accounts:1 inverting:1 determine:1 einstein:5 operator:10 hep:18 assumed:3 h00:19 dispersion:1 low:2 stars:1 complete:1 newtonian:15 enough:1 minkowski:4 h0k:2 h0i:14 h0l:4 detailed:1 ai:6 certain:4 ak:1 describe:2 resultant:1 formulation:1 amelino:2 controlled:1 gradients:1 sarkar:1 again:5 hellings:2 rosen:2 field:62 valid:1 spatial:13 forcing:1 deviation:2 symbol:7 thirring:4 a1:1 a2:2 bounded:1 gravitomagnetism:1 perturbatively:1 mass:8 resembles:1 represent:3 externally:1 sci:1 consider:6 pointing:1 scalar:6 cooperative:1 follow:1 expressions:2 scs:1 number:1 schiff:2 present:3 th:17 amplitudes:2 far:3 mpl:1 rc:1 perihelion:2 fan:2 manageable:1 condition:8 t2:1 large:4 small:3 anal:1 zero:3 enhancement:3 further:4 ter:1 subscripts:1 what:2 abc:1 brackets:1 sun:5 section:10 version:1 neutrally:1 acknowledgments:1 full:4 bezerra:2 modify:1 galilean:1 strong:1 equations:45 guimar:1 antisymmetric:2 inspired:4 allows:2 amount:1 superpotential:2 action:6 specialize:1 jackiw:3 uniquely:1 via:9 requiring:3 vii:2 yunes:7 eddington:1 takes:2 contains:1 charge:1 comparing:3 nucl:3 taken:1 iteratively:2 metric:96 more:11 flat:8 2hν:3 corrected:2 particular:5 known:1 foundations:1 berti:2 recall:1 equation:15 history:1 compare:1 cosmological:3 ds2:1 neglected:5 numbers:1 arise:1 goal:1 polchinski:1 imminent:1 breaking:1 simplicity:2 inflationary:1 ζi:6 ζj:1 derived:2 orbits:1 waves:3 d10:1 parameterized:4 negligible:2 fundamental:1 patil:1 baryogenesis:1 essence:1 indistinguishable:1 paper:12 through:8 its:10 roots:1 rapidly:1 solving:1 actually:3 late:1 systems:4 battefeld:1 might:7 ym:1 propose:1 anticipated:1 framework:13 communities:1 easily:1 fully:2 presented:3 2f:3 radial:1 found:10 easson:2 referred:1 energy:18 reduce:2 idea:1 obtains:1 measurement:2 quantum:9 operation:1 beyond:6 try:1 since:11 vectorial:8 viability:1 research:2 acting:1 aligned:1 induced:2 evaluation:1 occurs:1 2h0:5 reason:5 put:1 randall:2 buonanno:2 definition:2 conformally:2 v2:1 feed:1 dine:1 relate:1 geodesic:2 done:1 pablo:1 perturbation:39 srednicki:1 introduction:5 leading:1 construct:3 assumption:1 calculations:1 dt2:1 scheme:2 park:1 prediction:4 part:6 authors:1 determines:2 horizons:1 treated:3 canceling:1 orders:1 mountain:1 lia:3 internal:3 generalized:2 analogy:7 finding:1 unconstrained:1 play:1 measures:1 most:3 nothing:3 measured:1 appear:1 deviations:2 tν:3 constructed:1 clear:2 sometimes:2 coincides:1 traditional:1 velocity:16 physics:9 dragged:3 sector:18 particularly:1 gates:1 relation:2 finn:3 astrophys:6 find:13 parameters:28 merger:1 factor:2 notation:1 dependent:2 kamionkowski:1 closely:1 during:2 hij:16 hik:1 alexander:8 resolve:1 arxiv:3 investigate:1 common:2 ph:3 plausible:1 flavours:1 sec:13 close:1 lee:2 uν:2 gravitation:1 probably:1 conditions:2 latin:1 recently:5 missing:1 vanishing:5 solv:1 δai:4 both:6 last:4 context:4 filho:1 finds:1 experimental:5 point:8 community:1 except:3 dimensional:4 superstring:2 simply:6 throughout:1 hiℓ:1 described:1 enhancements:2 kimberly:1 due:5 laplacian:2 pa:3 pg:1 kronecker:2 nicol:1 pi:2 pn:33 wheeler:1 understand:1 ǫa:1 look:4 pacs:1 expanded:2 while:14 behavior:1 couplings:2 loop:1 engineers:1 vectors:1 vol:2 incredible:1 owen:5 itself:1 rij:1 vanish:10 currents:4 lindblom:1 widely:1 modification:11 neutron:3 higher:1 used:13 arrived:1 purpose:4 lower:1 task:1 analysis:10 edge:1 machinery:1 consistency:1 useful:2 alternative:9 hjk:1 exclusively:1 nordtvedt:9 source:19 location:2 theorem:1 transformation:3 euler:1 phenomenology:1 couple:6 integer:1 formal:9 modifications:2 imposed:1 semi:1 systematically:1 follows:2 adiabatic:1 separately:1 essential:1 spins:1 mathematical:3 methods:4 some:14 back:1 b4:1 b5:1 b6:1 b7:1 b1:1 b2:1 b3:1 ijk:2 b8:1 anisotropies:2 scale:6 affects:1 measurements:1 prog:1 proc:1 ries:1 inserting:2 martin:1 agreement:1 br:1 become:3 extending:1 camelia:2 christoffel:1 into:6 within:1 nsf:1 appropriate:2 frames:1 ǫijk:1 placing:1 eventhough:1 analyze:1 sections:1 elsewhere:1 murphy:1 nayeri:2 delta:2 nutshell:1 gravitating:2 cij:1 us:20 maturity:1 uk:3 similar:3 called:3 constant:3 defined:8 grqc:1 mavromatos:1 proper:2 single:1 ingredients:1 ugmann:1 curl:16 dragging:8 defines:1 uµ:3 priori:1 nat:1 department:1 generates:1 calculating:2 problems:1 meaning:1 suppression:1 linearization:1 structure:4 implies:7 guarrera:1 required:4 holes:3 orbit:2 requires:5 once:5 partial:4 gr:56 results:3 edu:1 conservative:5 contributions:3 compact:6 concerned:1 include:1 ingredient:1 implicitly:1 2ra:1 wave:7 manipulated:1 hµα:1 hµν:15 hµλ:2 deals:1 inspection:1 compensated:1 concludes:1 index:1 lense:4 3p:1 expressed:1 experiment:7 body:7 chose:1 degree:1 pushing:1 following:10 objects:3 δωi:3 consideration:2 eprints:1 dividing:1 wesley:1 larger:1 products:1 birefringent:2 apr:1 topological:1 anomalies:1 summation:1 use:7 asymptotic:1 usa:1 remains:1 process:1 crab:1 formally:2 becomes:3 iii:8 integrating:1 prompts:1 infinitesimal:1 universe:1 dxj:1 calculation:1 pieces:1 high:3 lorentz:11 employs:2 m2pl:1 precessing:1 holds:1 regions:4 instead:3 circular:3 de:1 singular:1 tied:1 light:6 gleiser:2 lγ:2 inspiral:2 discussion:1 gµν:8 produces:2 interpreted:1 produced:3 perfect:5 outer:1 chosen:1 relativity:5 li:2 previously:2 lr:4 derivative:3 defining:1 symmetrization:2 violating:1 polarizations:1 landau:1 rotation:1 february:1 cotton:20 university:5 b372:1 sufficiently:1 magnitude:2 mode:1 supermetric:2 references:2 constraints:1 homogeneous:1 doing:3 astroph:2 related:4 static:1 measure:5 our:2 out:5 respects:1 rev:29 rel:1 suffices:1 interactions:2 diagonal:1 york:2 monographs:1 geometry:1 determining:1 route:2 linearized:5 length:3 isotropic:1 davis:1 there:8 science:1 proposing:1 reached:1 precisely:1 unknown:1 system:19 relations:1 melnikov:1 reversed:2 acquire:1 ben:1 see:9 providing:1 hρν:1 enforced:1 symmetries:1 need:4 clearly:1 acceleration:7 studying:3 able:2 gravity:62 polarization:2 instance:1 gravito:3 realizes:1 unless:3 allow:5 gν:2 intrinsic:3 why:3 subjective:1 consequences:2 astro:2 constrain:1 fact:11 inexorably:1 violation:7 ergosphere:1 purely:1 agrees:3 postulates:1 based:1 knowledge:4 should:1 employed:4 means:1 ones:1 words:1 symbols:1 aes:1 qr:1 densities:1 differential:4 expansions:2 grav:3 qc:18 contain:1 describes:2 traceless:1 enhances:1 requirement:1 hν:15 frame:15 computes:1 enhanced:7 cole:1 gravitomagnetic:1 tend:1 state:1 lue:1 confusion:1 invariant:1 neither:1 gambini:2 wj:1 nonconservative:1 restrictions:1 equal:1 hσ:1 hρ:2 rama:1 hτ:4 otherwise:2 relevant:1 co:1 conclude:2 cc:3 cb:2 ca:2 cd:2 cs:102 respect:3 cp:2 addition:2 bianchi:1 slowly:2 treat:2 recognize:1 anomaly:4 define:1 determinant:2 arises:1 corresponding:2 tµν:6 bulk:1 c2:1 general:11 arisen:1 appearance:2 value:1 will:22 va:14 layer:1 simons:10 vi:21 vj:2 8πtµν:1 thus:16 kalyana:2 surface:1 dual:1 gyroscopes:6 orbital:6 φw:2 perhaps:1 cross:1 largest:1 units:4 finite:1 http:1 effect:12 parametrized:1 phy:1 frequently:1 expand:1 off:5 center:2 modeled:2 well:5 thought:2 comparisons:2 usual:1 spherical:1 accurate:3 obtain:14 sources:6 distant:1 density:6 hℓ:1 wei:1 combine:1 identical:5 tests:4 ζij:3 increases:1 press:3 immediately:3 necessary:2 like:5 success:2 alternatively:1 b104:1 δi:2 δg:1 replacement:1 therein:2 parity:6 shed:1 because:19 2qr:3 classical:9 searching:1 jlm:1 happens:1 lead:4 avoid:1 does:9 obey:2 expansion:23 pressure:2 although:2 imaginary:1 stage:1 about:2 actual:4 carried:3 extension:4 freedom:1 introduces:1 fischler:1 important:1 introduced:2 equally:1 letters:2 h2:1 h0:1 van:1 additional:4 quadratic:2 inner:1 naturally:8 function:3 brane:1 but:24 hj:4 hk:2 neutral:1 brans:1 partially:1 compute:1 instructive:1 whether:4 gravitational:30 limit:6 freeman:1 problem:3 pia:1 contribute:1 linearity:3 denote:1 ing:1 identities:2 functions:1 nonetheless:2 detail:2 other:16 details:4 conclusion:2 francisco:1 star:4 remainders:1 ultimately:1 cliff:1 coupling:18 searched:1 4d:1 expands:1 indirectly:1 |
0704.0300.txt |@word limited:2 consider:1 similarity:1 caused:1 resistance:24 four:3 4e2:2 yaish:1 swnt:22 centers:1 whose:1 intensive:1 charge:2 indicating:3 summarizes:1 doped:2 acoustic:1 very:1 kω:3 results:1 electron:13 every:1 appenzeller:1 sc5:1 experimentally:5 sc7:2 sc6:2 sc1:1 sc3:3 sc2:2 guo:2 random:1 phase:2 small:6 straight:1 degeneracy:1 upper:3 paulsson:1 force:1 trend:1 kim2:1 perebeinos:1 chen:1 qualitatively:1 chem:1 even:2 adds:1 nano:2 section:3 selected:2 current:5 experiment:1 new:7 increasing:6 method:3 thin:1 cobden:1 chose:1 excludes:1 respectively:4 here:1 ranges:2 reported:1 deposition:1 mev:1 free:13 mes:1 path:13 strong:3 appears:1 obtained:4 rosenblatt:1 study:5 studied:3 suggests:1 diameter:2 followed:1 scales:5 apr:1 semiconductors:1 highly:1 sgm:2 total:1 linearly:1 plot:1 use:3 che:1 remains:1 jpn:1 bundles:1 negative:1 hong:1 scenarios:1 m4:1 assuring:1 m1:4 m3:2 m2:1 taken:1 more:1 separated:1 becomes:2 fuhrer:2 curvature:1 particular:2 actual:1 bezryadin:1 degenerately:1 walled:3 room:5 mm:1 science:1 equation:1 work:1 ρl:1 macroscopically:1 mv:2 values:2 temperatures:9 lφ:2 weaker:1 wang:3 figure:1 saito:1 sample:8 indicates:2 exclude:1 absolute:1 byung:1 afm:1 rather:3 breaking:1 feature:1 chemical:2 dekker:3 rubio:2 pair:1 gate:5 parameter:1 mat:1 designated:1 derived:1 different:10 millimeter:1 designed:1 fits:3 data:5 response:1 realized:1 physical:1 separations:1 avouris:2 si:1 so:2 allow:1 decreasing:1 sc:1 vapor:1 order:1 wind:1 typical:3 aleiner:1 office:1 indeed:1 over:1 vary:1 interpreted:1 saturates:3 including:2 sc4:1 mayou:1 shorter:1 difference:1 lc:10 fit:2 chosen:1 highlights:1 lm:19 decreases:2 fig:20 main:2 non:6 dai:5 scaling:17 band:1 effects:3 bar:1 now:2 semiconducting:3 transparent:2 represents:2 500nm:1 james:1 university:3 magnitude:2 each:9 found:3 mean:13 el:1 independent:1 energy:5 ef:2 related:1 conductance:1 extended:1 static:2 microscopy:3 measure:2 quantum:2 our:4 beyond:4 out:2 large:2 shown:2 impurity:2 open:1 since:1 interference:1 research:1 investigation:1 rc:13 suggesting:1 formula:1 induced:1 ref:1 deviates:1 shows:5 linear:17 barrier:2 localization:8 nts:12 sio2:1 given:4 possibility:1 approaches:1 ecs:1 york:7 philip:1 multiwalled:1 pairs:2 elastic:1 determining:1 turn:1 length:15 exponentially:2 louie:1 isd:14 features:1 reflected:1 channels:1 defects:2 another:1 pablo:1 categorize:1 clarity:1 electronic:1 tox:1 temperature:26 plank:1 roche:2 their:2 nsec:1 ballistic:3 1d:5 ranging:1 listed:2 centered:1 park:3 drain:2 x2:1 x3:1 x1:1 than:6 x4:1 sections:2 see:1 determined:4 were:3 solely:1 distinguished:1 behaviors:4 resistivity:2 lines:3 curves:2 mater:1 further:1 mceuen:5 orders:2 sat:3 presents:1 isolated:1 metallic:5 note:5 extracted:1 high:4 potential:1 online:1 negligible:1 strengths:1 channel:8 circles:2 electronphonon:1 begin:1 multiple:3 lsat:7 impurities:1 insets:5 most:1 letter:3 device:4 intrinsic:2 lee:1 considered:1 calculated:1 saturate:1 metal:2 optical:1 electrons:2 mechanical:1 tubes:1 contacted:1 show:2 probe:1 converge:1 bright:1 mwnts:1 believe:1 laughlin:1 conduction:3 state:1 supported:1 terminal:7 only:3 rich:1 factor:1 local:1 discuss:1 dominant:3 dependent:5 mwnt:1 de:1 overall:1 dc:1 liu:2 lighter:1 kong:3 reveal:1 exhibiting:1 substrate:2 densities:1 approach:1 arxiv:1 yield:1 navarro:1 garcia:1 microscope:2 predicted:1 london:1 voltage:3 scanning:4 electrodes:8 freeze:1 observed:4 depends:1 individual:3 college:1 result:2 discussions:1 electrode:3 points:2 tween:1 phonons:2 ranged:1 µm:15 outside:1 various:2 closed:1 between:4 consecutive:2 µa:1 available:1 herrero:1 nature:4 attention:1 however:2 yoon:1 inseparable:1 wu:1 huang:1 carbon:4 configuration:1 suppressed:3 thank:1 both:1 essentially:1 career:1 many:1 region:5 attributed:1 flores:1 contribution:3 experimental:3 among:1 separation:1 characterization:1 simple:1 invasive:1 corresponds:1 dimensional:1 exhibits:2 table:4 finally:1 described:2 addition:1 create:1 chirality:1 due:2 been:2 bachtold:3 yao:1 much:1 pd:3 utilizing:1 corresponding:2 5k:2 am:1 coherence:1 gap:10 bulk:1 observe:1 understand:1 representative:3 spin:1 present:2 applied:4 multi:1 arias:1 solid:4 align:1 single:4 value:6 employ:2 while:3 behavior:12 tans:2 landauer:1 lundstrom:2 vg:12 phenomenological:1 characteristics:1 thus:1 them:1 ii:2 characterize:1 bias:2 cond:1 limit:2 technology:1 grown:1 confirmed:3 lengths:5 same:3 any:1 highlighted:1 emphasize:1 widely:1 evaluate:1 finite:1 higher:3 fairly:1 used:2 columbia:3 tinkham:1 hand:1 conductors:1 scale:2 kim:3 fabrication:1 tune:1 recent:1 lower:5 elec:1 off:1 hopping:1 well:2 hafner:1 magnified:1 academic:1 contact:7 mann:2 dashed:5 bozovic:1 consisted:1 less:2 generally:2 tcr:4 obtain:2 glattli:2 atomic:1 regardless:1 scattering:9 yet:1 inelastic:1 majority:1 character:1 hall:1 source:2 spread:1 lett:13 samples:5 swnts:21 saturation:1 brouwer:1 rnc:5 advances:1 showing:2 possible:3 increases:3 vidal:1 press:1 using:1 part:1 altshuler:1 color:2 helpful:1 nakanishi:1 like:1 inviting:1 extremely:3 specific:2 yields:1 fully:1 multiplicative:1 become:1 works:1 disorder:2 phenomena:1 deduce:1 growth:1 vsd:5 images:2 transport:2 ρsat:3 contacts:4 tube:1 measurements:4 critical:1 select:1 tersoff:1 indication:1 demonstrated:1 limitations:1 elucidate:1 ando:2 offset:1 properties:2 verschueren:2 exhibit:4 central:1 extension:1 anomalous:1 dependence:4 range:7 soc:1 rev:14 image:3 within:1 bound:1 nsf:1 lies:2 determine:2 gomez:2 diameters:1 log:2 buttiker:1 measured:4 long:7 imperial:1 hee:1 anderson:2 appl:1 low:10 liang:1 was:5 eg:2 function:1 martel:1 kane:1 dresselhaus:2 nanotubes:5 line:6 ph:2 zhu:1 prevents:1 nanotube:1 up:2 devices:3 fermi:1 unusually:2 similar:3 regimes:3 strongly:1 constant:2 zettl:1 linearity:1 substantially:1 engineering:1 regime:8 nm:9 variety:1 na:2 when:3 phonon:2 application:1 other:2 nat:1 department:3 nt:5 conclusion:1 bockrath:2 zhou:2 separate:1 variation:1 important:1 suppression:1 variable:1 structure:1 rq:8 gao:2 physics:2 curve:1 forero:1 inset:5 having:1 once:1 |
0704.0301.txt |@word gt:1 partial:13 consider:4 chain:2 exponentiation:1 clauses:3 caused:1 results:2 reformulating:1 integration:1 four:1 proposition:3 subclass:1 computation:14 gn:5 gm:2 oldest:1 issues:1 relationships:1 whose:4 supposedly:1 calculate:2 fellowship:1 graph:1 concerned:1 presents:1 uniqueness:1 tm:1 present:3 th:1 under:5 quarterly:1 analogous:2 include:2 presentation:1 case:6 digit:4 incurs:1 g0:7 very:1 rise:1 p0:2 trigonometric:1 every:4 stays:1 affect:1 colloquially:1 difference:1 condition:1 solves:1 presented:1 did:2 turns:2 notes:1 list:1 solution:7 forgets:1 deals:1 discrete:3 vector:1 dealt:1 small:1 probably:1 noted:3 assemblage:1 solutions:2 enjoy:1 upper:1 zn:6 work:7 says:1 concise:1 lecture:1 consistent:4 breaks:1 approximation:1 second:4 cost:1 doubt:1 uncomfortable:1 recursiveness:2 further:1 defines:1 εp:5 gleichung:1 machines:1 linear:2 even:4 what:2 primer:1 power:1 clock:1 blum:2 trivial:3 section:17 ticks:1 analogously:1 find:1 gi:4 above:4 sup:1 new:4 preserved:1 coefficient:11 led:1 notions:1 degree:3 respectively:3 sint:1 never:2 component:5 here:1 refinement:1 explore:1 tangent:1 others:2 path:1 along:1 equations:4 obtained:2 remark:1 generalizing:1 thirty:1 technical:1 inspired:1 wherever:1 round:2 products:1 franklin:1 pick:1 complicated:1 drc:5 proof:16 makes:3 der:1 quotient:1 uniquely:1 regardless:1 projection:1 family:1 apr:1 problematic:1 natural:4 highly:1 ask:1 addressed:1 summation:1 apply:2 total:5 linearly:4 derivatives:1 use:4 takes:1 would:7 lemma:16 remains:1 h0:3 contains:4 dni:2 bush:1 transactions:1 automata:1 going:1 m0:2 totality:1 shaded:1 themselves:1 type:1 theoretical:4 more:4 eigenschaft:1 preserving:2 transcendental:3 formality:1 iir:3 initial:2 operators:8 improve:1 appendix:3 everywhere:2 far:1 known:8 iii:10 must:3 logarithm:2 helped:1 keeping:1 valued:3 word:2 language:1 tokyo:1 science:5 equation:11 pretend:1 modified:1 pour:3 dei:6 obvious:1 lipschitz:1 following:15 root:2 example:6 numbers:4 claim:17 compare:1 weaker:1 figure:7 stated:1 process:1 december:2 sense:8 confused:1 states:1 contradicts:1 imitation:1 want:1 allowed:1 phrase:1 mn:9 conversely:1 guarantee:1 preferably:1 recursive:36 rather:1 discussion:4 differentiability:1 revisit:1 machine:2 how:5 nontrivial:1 phd:1 significance:2 verlag:2 sin:3 2v:1 disproves:1 elementarily:1 ft:2 intended:1 fv:1 may:8 turing:1 after:1 singularities:1 different:4 substitute:1 multiplication:1 choice:2 data:2 get:1 constants:1 ambiguous:3 discusses:2 purely:1 third:3 whenever:2 june:1 element:3 complexity:6 so:8 suggest:1 definitions:2 integrand:2 orponen:1 order:5 talk:2 restriction:14 holds:1 ith:4 devote:1 hierarchy:1 pointed:1 di:1 primitive:22 entity:1 abstract:1 held:1 paper:4 including:3 same:4 thesis:2 japan:1 satisfies:4 still:1 its:8 write:8 languages:2 discontinuous:1 subinterval:1 termed:1 ln:3 interesting:1 solving:1 criticize:1 choose:3 clause:2 wales:1 main:1 wellknown:1 setting:3 arguments:1 maximal:1 them:1 gets:1 inductively:1 cover:1 framework:1 weihrauch:1 they:1 producing:1 singularity:1 now:2 discuss:5 developments:1 suppose:3 easily:1 february:1 finite:6 subtler:1 university:2 nullary:2 applied:1 each:25 done:1 side:1 characterized:1 mean:2 subset:7 el:3 domain:11 arxiv:1 ei:12 formulate:3 hard:1 related:1 society:4 computable:4 die:1 our:5 mapping:2 satisfied:1 sounds:1 shannon:5 out:8 category:2 try:1 shown:2 smale:2 restricted:2 since:7 preserve:1 research:2 reformulate:2 seriously:1 reader:1 rl:3 rm:28 rn:11 induction:2 shows:5 suffer:1 theory:6 unwieldy:1 given:4 standard:4 base:1 shub:2 put:1 hand:1 definition:28 ecnico:3 r2:1 could:3 transition:1 programming:2 nonnegative:4 introduction:2 american:3 place:6 specification:2 hence:4 promotion:1 stuck:1 βj:2 first:4 origin:1 intuition:1 already:1 xm:2 relate:2 variables:1 number:1 transcendence:2 philosophical:1 set:34 simplified:1 least:1 another:4 ring:2 precisely:2 open:21 little:1 thirties:1 similarly:1 ordering:1 unknown:1 adopted:1 their:8 assumption:5 master:1 statement:1 1i:1 challenge:1 1n:4 relationship:1 wellbehaved:1 explanation:1 continuous:6 mathematische:1 arity:5 part:1 somewhat:1 authors:7 focusing:1 tacitly:1 july:3 believe:1 than:6 dependent:4 toronto:1 distance:1 kind:1 unfortunately:1 showed:2 sections:1 acknowledgement:1 iteration:4 namely:1 dispensed:1 preparation:1 classes:9 contrary:2 were:2 gives:2 treated:1 seminal:1 rewrite:1 boston:1 unchanged:1 argument:1 talking:1 say:12 kleene:2 zu:1 need:3 seen:1 clearly:1 issue:1 built:2 zero:6 lim:2 responsible:1 baire:2 parks:2 converges:3 note:8 k1:3 k0:8 take:5 analogy:1 interior:5 algorithms:1 reals:2 though:3 who:1 zigzag:3 birkh:2 most:2 satisfying:2 connected:8 ht:6 rationale:1 device:1 class:16 γi:2 dom:53 considered:1 clear:2 later:4 implications:1 countable:1 proceedings:2 points:2 principle:5 inaccuracies:1 kt:2 left:1 physics:1 sum:2 fact:7 repeatedly:1 precise:1 saying:1 simulate:1 show:9 supported:1 invx:1 chapters:1 dbf:1 bring:1 attempts:1 relation:3 inconsistent:1 computers:2 carefully:2 µr:1 d2:6 x0:9 d0:2 d1:4 impact:1 computability:6 ratio:2 simulating:1 situations:1 writes:1 produces:1 written:2 should:3 analytic:16 only:7 explicitly:2 ambiguity:4 integrate:1 circle:2 local:1 over:3 continuity:1 do:3 dl:1 his:6 dj:2 therefore:3 notation:2 means:2 df:2 express:1 straightforwardly:1 da:4 remedy:1 cannot:1 despite:1 during:1 dt:3 dr:16 justified:2 closure:1 regarding:3 embedded:1 differential:13 µt:2 remove:1 calling:1 circuits:1 conforms:1 through:2 implication:1 fixed:1 discussing:3 counterexample:1 erroneous:1 ary:2 j0:1 j1:1 closures:1 bounds:1 connections:1 edition:2 see:5 computer:9 result:1 existence:1 close:1 theoretic:2 analog:17 situation:1 fails:4 said:2 µy:1 inequalities:1 inappropriate:1 ways:2 subsequent:2 ritt:2 diverge:1 state:1 smallest:6 fifties:1 closed:7 between:2 αi:2 mul:5 neither:1 swansea:1 approach:2 europe:1 publishers:1 jx:16 extend:1 superior:3 uj:1 jp:8 however:4 analyzer:3 hypothesis:1 answers:2 picking:1 come:1 xp:6 recall:1 both:3 cos:2 last:1 limits:1 many:6 taking:2 clk:1 equal:2 april:1 admit:1 colloquium:1 context:1 logic:2 0i:1 expression:1 hτ:6 otherwise:4 among:1 ci:1 unclear:1 cm:8 characterization:4 cc:1 continuation:1 ca:1 simply:2 assertions:1 right:3 cs:1 constant:5 cp:2 conference:2 incomparable:1 capable:1 union:7 locally:2 three:1 been:2 defined:23 belongs:4 interest:1 basic:2 lder:1 pi:5 trig:3 empty:6 pm:2 generating:1 restrictions:1 quantities:1 theorem:30 countably:3 gen:1 assert:1 derivative:1 denote:1 those:2 sound:1 lipshitz:1 multi:1 replaces:1 survey:1 subsets:3 defining:1 value:10 will:4 institute:2 while:2 replaced:1 behavior:1 aid:1 properly:1 property:4 study:1 program:1 vol:1 ir:3 thus:6 non:4 iv:8 ii:9 characterize:1 absurd:1 technology:1 comments:1 binary:2 containing:10 verified:1 author:2 journal:4 recursion:11 make:4 determinant:1 sqrt:5 any:10 x2:1 emphasize:1 largest:1 resulting:1 proved:3 several:3 composition:2 independent:1 used:7 infinity:2 unconventional:1 ni:4 krantz:2 subexpression:2 uses:2 purpose:5 dk:1 identity:3 recent:1 costa:4 lower:1 suffices:1 undefined:2 older:2 0n:4 well:5 analysis:5 academic:1 dn:1 without:5 components:1 sets:3 claims:3 model:5 arising:1 usual:1 less:2 being:3 composing:1 resp:7 obtain:1 rest:1 isolated:2 unary:3 thanks:1 integer:3 facts:2 alternative:1 graduate:1 studying:1 yet:1 contradicting:2 adding:1 superficial:1 kluwer:1 informal:2 algebraischen:1 auser:2 point:5 seems:2 except:1 mathematically:1 enjoys:1 simple:3 add:3 tuples:1 extends:1 propositions:1 euler:1 real:45 rules:1 advances:1 subfield:3 gra:1 possible:8 possibly:2 whichever:2 know:1 using:6 variants:2 unique:15 moreover:1 advanced:1 apart:1 instituto:3 like:1 lost:1 texts:3 follows:1 reduces:1 strictly:1 yields:1 either:3 arbitrary:1 leaves:1 works:4 differentially:22 replacement:1 mathematical:6 because:10 old:1 often:1 deal:2 some:40 searching:1 polynomial:14 repeat:1 choosing:1 specified:1 proper:1 kawamura:1 dc1:1 nonzero:11 provided:1 cω:6 throughout:1 nonempty:9 avoid:1 shall:1 id2:6 id3:3 id0:1 id1:3 does:4 tends:1 ueber:1 subexpressions:1 considering:1 felt:1 minimization:2 dropped:1 kyoto:1 equivalent:5 annalen:1 bi:8 bk:1 restrictive:3 although:2 found:1 properties:2 simpler:1 integers:6 about:8 algebraic:24 theorems:1 assertion:1 o:2 deserves:1 idi:1 mixed:1 lacked:1 introduced:3 slightly:2 gamma:1 differentiable:2 specifies:1 purported:1 computational:1 statements:3 presence:1 unbounded:2 into:4 h1:2 integral:4 functional:1 due:1 down:1 lies:1 square:2 references:1 operator:6 refined:1 springerverlag:1 refinements:1 springer:3 there:24 question:1 u0:1 long:1 intention:1 accordingly:1 cauchy:1 way:4 was:5 opposed:1 function:37 arise:1 form:2 enough:1 relaxed:1 differences:1 hv:17 but:10 failure:1 construction:1 ho:1 justify:1 cucker:1 line:1 true:1 he:4 made:1 wronskian:2 cie:1 versions:1 whether:2 smooth:2 up:1 us:1 equally:1 below:2 limit:1 uk:2 suitable:2 problem:1 define:10 similar:2 called:2 adopt:1 replacing:3 moore:25 pin:1 computing:1 ai:1 certain:2 inv:13 convex:4 am:5 direction:2 general:7 single:2 exist:1 formulation:2 inf:1 constructed:1 again:2 functions:77 analyticity:3 nm:9 no:2 agreeing:1 juxtaposition:2 when:22 vanishes:3 arctan:1 field:3 other:9 branch:1 digital:3 department:1 mathematics:2 kv:3 elements:3 kinds:1 exp:3 models:6 remarked:1 problems:3 includes:1 replace:1 a0:4 important:2 trouble:1 bulletin:1 sides:1 lang:1 suffers:1 implies:1 longer:1 assume:5 values:1 dτ:8 interval:8 rule:1 notion:1 time:5 n0:2 international:2 original:3 |
0704.0302.txt |@word inverse:1 monte:1 partial:2 consider:3 maximum:1 scd:73 resources:1 truncated:4 results:5 existing:2 four:2 proposition:13 york:2 computation:2 edu:1 types:1 denotes:1 c1:13 soc:2 devoted:1 dimensionality:1 technique:1 γw:7 tp:19 shall:1 tn:4 quasi:2 tj:18 γn:3 th:7 under:25 stochastic:3 discretization:2 xti:6 applied:2 supported:1 risk:8 advantage:1 zhang:3 very:4 springer:3 choice:2 replication:1 borel:2 fan:4 mixing:7 wjt:1 difference:1 matrices:2 adaptive:1 condition:3 statistica:1 entire:2 squares:1 immediately:1 t2:3 t0:1 t1:5 large:9 discrete:1 vector:13 millimeters:1 small:2 eigenvalues:1 anal:1 upper:3 smaller:1 zi:1 findings:1 trend:4 eθ:21 consistent:4 estimates:3 prediction:24 past:1 rate:6 surface:1 projecting:2 chen:4 further:1 estimated:7 carlo:1 port:1 quite:1 zs:2 even:1 index:52 what:1 curse:1 giving:1 3r:2 section:9 selected:3 expressed:2 uniform:5 version:1 establishes:1 sup:111 values:5 ˆj:1 appeal:1 cn:8 method:19 ˆn:1 coefficient:17 multivariate:3 degree:2 respectively:2 realizations:1 equals:1 here:1 understanding:1 water:2 desired:2 xθ:24 intercept:1 modelling:1 pursuit:5 address:1 directions:1 latent:1 strong:7 respect:4 appears:1 obtained:4 remark:6 endpoints:1 glm:2 technical:1 study:1 vectors:4 allows:1 reports:2 scatter:2 residual:1 yield:1 heteroscedastic:2 advantages:2 implement:2 suitable:1 makes:1 involves:1 plotted:1 rive:3 vold:11 via:6 regardless:3 projection:10 figure:13 apr:1 pentium:1 proves:2 conditions:1 cylinders:1 apply:1 total:1 establish:2 research:1 unit:1 derivatives:8 use:4 additive:7 asymptotic:6 usa:1 prove:5 remains:1 positive:5 msu:1 tail:2 eσ:3 next:8 scenarios:1 linear:4 noting:2 therefore:8 m3:1 criteria:1 taken:2 cram:3 mse:5 type:1 entails:5 more:3 gained:1 comparison:2 becomes:2 award:1 needed:1 appendix:3 cantelli:2 observations:2 particular:2 known:3 cn2:1 cases:4 iv:1 effort:1 must:1 high:5 account:1 ser:2 equation:1 cap:1 mi:4 ε2i:3 preliminaries:1 ch1:4 assumptions:23 obvious:1 norm:2 mammen:2 following:6 making:1 root:3 example:11 proof:28 dn:12 wang:19 wand:2 process:1 december:1 er:3 carroll:2 sample:20 indicates:1 minimum:4 estimating:1 sense:1 identifiability:1 ardle:8 breaking:1 absolute:3 needs:2 sip:41 end:1 notation:2 rather:1 verify:1 purpose:1 holds:2 american:1 write:3 how:1 dotted:4 instead:1 ordinary:2 verlag:3 parameter:6 sin:1 stock:2 fp:4 simplicity:2 product:6 de:5 algebra:1 max:24 earlier:1 minimized:1 ball:1 applications:2 abuse:1 fd:9 plann:1 θq:31 variate:3 data:15 response:5 constants:6 sp:3 lipschitz:1 advocated:1 dynamical:1 third:2 author:2 lines:1 correspond:1 supervision:1 st:1 provide:1 interior:5 so:10 temp:1 sc:2 tsay:2 order:12 typical:1 cumulative:1 interpretation:1 words:2 produces:2 fθ:5 indeed:1 over:1 dy:1 satisfied:1 nonparametric:7 years:2 paper:6 through:5 statistical:1 left:2 y1:1 existence:1 satisfies:2 still:1 its:10 before:2 superior:3 ηi:5 derive:1 fit:4 exact:1 appl:1 autoregression:1 coordinates:1 li:27 forms:1 previously:1 degrees:1 systems:1 lp:3 lq:1 mail:1 main:5 decades:2 yi:18 non:1 cmn:1 propose:2 practice:1 introduce:4 h7:1 break:1 yields:5 nsf:1 optimal:2 oxford:2 now:6 hall:6 association:1 qt:15 eigenvalue:1 term:2 finite:1 splines:5 2r:1 2k:1 coping:1 intelligent:1 university:5 routines:1 identified:2 devore:7 2d:2 sufficiently:1 inequality:11 l2:3 reasonable:1 each:8 organized:1 mean:7 subset:1 weighted:1 series:11 ηp:2 celsius:1 approximates:2 related:2 used:4 obtains:2 year:2 our:15 approximated:2 patch:1 xp:1 special:2 out:10 try:1 shown:2 λmax:6 matrix:9 space:8 furthermore:1 since:7 squared:5 optimally:1 mere:1 rd:1 gˆ:5 contained:1 redefined:1 performs:1 denoted:1 formula:1 rn:1 illustrate:1 issue:1 mθ:6 math:1 shows:7 log2:6 theory:2 written:1 little:1 standard:3 difficulty:1 approaches:1 carried:1 surely:3 θd2:1 usual:1 approach:1 estimate:2 hand:1 generate:1 temperature:2 definition:4 river:12 autoregressive:4 combining:1 phrases:1 could:1 similarly:2 iterative:3 days:7 m22:1 xue:4 length:1 massive:3 expedient:1 hence:8 βn:2 onto:3 lagged:1 βj:4 first:10 knots:10 xi:51 xn:2 features:1 probability:15 omitted:1 variables:6 ichimura:4 number:5 xd:1 clear:2 employing:2 done:2 fast:2 directly:1 robust:3 carry:1 immensely:1 covariates:1 xt:20 size:12 xia:10 given:10 minimizer:1 errors:1 tibshirani:2 introduction:1 unknown:3 system:1 least:3 xip:1 their:2 assumption:22 zeros:1 listed:1 realization:1 show:1 quadratic:3 gives:1 wj:5 discussion:1 centered:1 recursively:1 exactly:4 accurately:1 lists:1 direct:2 putting:2 mn:10 part:10 differentiate:1 nh3:5 authors:1 x2:4 x1:6 than:4 coefficients:3 approximation:6 was:1 depends:1 limiting:1 stt:1 appealing:1 kth:1 radius:3 backfitting:1 decompose:1 pre:2 7e:3 fashion:1 sees:1 bad:16 generality:2 rewrite:1 ann:8 w0:3 curves:1 chapman:2 zt:8 unlikely:1 close:1 disjoint:1 element:2 mses:1 clearly:3 hessian:4 implemented:1 computationally:1 min:8 efficient:4 lim:1 linton:2 note:12 instance:4 k0:3 horowitz:2 generalized:5 subintervals:1 performance:5 residuals:2 bilinear:1 play:1 continuous:2 multiple:1 normal:2 iceland:4 friedman:2 sets:3 plugging:3 dθp:1 most:3 beta:1 nonlinear:6 assoc:5 immediate:1 definitions:1 device:1 extremely:1 inequalities:2 i3:3 possesses:1 especially:1 tθ:2 neighboring:1 average:10 kh:1 flow:15 lpq:1 spend:1 spokoiny:2 replications:1 yang:29 exp:7 link:5 constrain:1 sd:2 typically:1 specification:1 fitted:3 impression:1 cdf:1 selection:1 spaced:3 λr:3 random:2 slutsky:1 minimizing:2 threshold:2 d2:1 find:3 εn:2 partially:1 based:5 implementation:1 interpolant:1 enough:3 lansing:1 lemma:45 only:6 3h:2 central:1 factor:1 integrable:1 i4:3 bernstein:5 local:3 pointed:1 continuity:1 above:7 klein:2 distance:1 dependent:2 michigan:2 between:1 expectation:1 yielded:1 among:1 aγ:1 meter:1 aforementioned:2 new:3 report:3 applying:11 dt:2 du:12 processes:1 increasing:1 md:1 initial:1 dissertation:1 arxiv:1 bandwidth:1 remove:1 summary:1 investigate:2 experiments:1 statist:15 london:2 fixed:14 kernel:4 set:5 presuming:1 exists:12 bias:4 station:1 j1:3 ebj:7 bounds:1 observed:1 see:13 geometrically:2 result:5 arg:4 terms:2 forthcoming:1 λmin:3 best:3 techniques:1 closer:1 inversely:1 satisfying:1 uθ:202 powerful:1 definite:1 consequence:1 forecast:2 state:4 score:4 various:2 routine:2 c2k:1 geometric:1 αj:20 x21:1 law:1 x22:1 basis:3 comparable:1 recently:1 adding:1 weak:2 points:2 however:1 bosq:2 efficiency:1 jn:1 wt:4 jh:1 leads:1 huang:6 analyzed:1 modeling:2 amer:5 bivariate:1 problem:1 both:5 essentially:1 parentheses:1 last:4 2n:8 many:3 taking:5 conclusions:1 according:13 against:3 display:1 sensitive:1 semiparametric:5 figures:1 exceeds:1 variance:1 estimation:27 expression:1 strongly:2 forecasting:1 relevant:1 key:2 tong:13 point:1 simple:4 explanatory:1 ψpq:4 asymptotically:2 narrower:1 cf:14 except:1 dimensional:5 represented:1 sequences:1 polynomial:5 table:8 throughout:1 bθ:49 cv:12 entail:6 save:1 ensures:1 duk:3 tuning:1 second:4 misspecified:1 addition:3 equations:1 locally:2 three:1 been:4 pc:2 reduction:3 much:5 asymptotics:1 basic:1 expected:2 important:1 define:6 dots:2 ergodic:1 corresponding:2 6e:1 sˆ:9 propositions:2 covariance:1 θd:30 observe:2 exogenous:2 systematic:1 θp2:1 θr:3 c2:12 θp:111 evidence:1 those:1 case:7 georgia:1 unlike:1 solid:6 reliable:1 estimations:1 empirical:10 value:5 sls:2 will:1 while:6 optimization:3 replaced:1 behavior:2 error:4 evaluates:1 property:1 guide:1 procedure:10 computed:2 correspondence:1 attains:2 tar:2 compact:1 almost:3 characteristics:1 thus:15 vn:38 equal:1 ii:2 examined:1 gudmundsson:2 c0:9 derives:2 regression:19 examine:1 binary:1 different:1 circumventing:1 perform:2 make:1 belong:1 same:4 any:27 2θd:1 cubed:1 proved:1 several:1 powell:2 week:1 literature:2 imply:4 cubic:13 i1:3 meteorological:1 i2:5 monotonic:1 rain:1 forecasts:5 2θq:1 moment:2 astonishingly:1 user:1 dk:3 2θp:2 infinite:1 genuine:4 lower:1 weakly:2 center:1 older:1 yn:1 well:4 analysis:2 intervals:2 pham:2 without:4 greatest:1 identification:1 consistency:4 coordinate:1 entry:1 model:49 parametric:1 dimension:11 maxima:1 uniquely:1 αjk:1 knot:1 proposed:16 minima:1 being:2 accurate:1 lorentz:7 obtain:8 rest:2 press:2 shape:1 underlying:3 fact:2 using:8 differentiation:1 inference:1 univariate:5 divide:2 tables:1 icelandic:1 signal:1 candidate:1 density:12 precipitation:2 had:1 mave:14 yt:8 corroborates:1 spread:1 transformed:4 attractive:1 easy:1 theorem:21 5e:1 εi:24 extensive:1 east:1 transformation:1 5c:2 take:1 rescaled:1 nielsen:2 devised:1 detrended:1 bic:3 spanned:1 department:1 increases:1 five:1 burden:1 εd:5 vθ:7 integer:3 moreover:1 loss:2 boundedness:1 necessary:1 sizes:2 follows:14 reduces:1 δn:8 continue:1 unstable:1 january:1 become:1 stationary:4 page:3 deviation:5 satisfactory:1 right:3 often:1 sequence:4 ch:3 conditional:1 some:9 stat:4 2y:1 derivative:1 trends:1 b0:3 examples:1 convex:2 standardize:1 proofs:3 econometrics:1 investigating:1 nonzero:1 provided:1 dimensions:1 lead:2 2e:9 cσ:2 unavoidable:1 2c0:1 per:1 lse:1 decomposition:2 select:2 provides:2 compute:2 moderate:1 straightforward:1 2xt:1 noise:6 run:1 ba:2 plot:2 seconds:3 huber:2 journal:1 11n:1 bi:1 bj:96 constructive:1 bt:5 step:6 percentile:1 sinica:2 c1r:1 plots:7 refers:1 properties:3 takes:1 stoker:4 integers:1 actual:3 would:1 pθ:19 theorems:2 favorite:1 dependence:1 o:63 simulation:4 practical:2 range:1 estimator:23 ensure:1 wold:1 bounded:4 j2:5 constraints:1 predictor:4 jν:4 equally:3 cambridge:2 h2:2 h3:6 into:5 within:1 bound:1 h4:16 down:1 variable:8 appropriate:1 because:1 references:1 estimators:9 nonparametrically:1 proportional:1 lastly:2 spline:37 theoretically:1 methods:2 statistics:2 log:46 measured:1 strictly:1 there:20 j3:4 normality:1 smoothing:10 start:1 describes:1 inner:6 way:2 ed:1 analyze:1 dx:2 methodol:2 function:49 becoming:1 recommend:1 but:3 volume:1 collected:1 hemisphere:1 hastie:2 convergence:3 unreliable:1 line:16 econometrica:2 true:9 truncation:1 again:3 zhu:5 evident:1 versions:2 whether:1 smooth:5 up:6 theoretical:4 below:1 dms:1 limit:1 sum:1 demonstrate:2 distribution:6 stages:1 similar:8 called:3 jj:1 constant:11 ad:1 computing:4 defined:10 curve:2 abstract:1 describe:2 proven:1 general:1 meanwhile:3 single:41 dν:6 exist:3 together:8 goodness:3 simulations:2 inf:2 work:2 βjk:1 nh:10 ni:14 functions:7 codes:1 nn:16 no:2 dashed:8 boor:5 when:9 vanishes:1 sˆp:12 application:3 other:3 role:1 details:1 test:2 interpretable:1 borne:1 conclusion:1 poor:1 draw:1 denote:16 models:14 uniformly:4 αn:4 polynomials:2 includes:1 a1:9 a3:4 a2:28 a5:9 a4:7 a6:26 rolling:4 w0t:2 gets:2 pool:1 acknowledgment:1 implies:8 faster:3 algorithm:1 assume:3 established:3 interval:1 4r:2 berlin:1 daily:3 gijbels:3 eθ0:1 time:13 n0:3 n1:8 n2:1 4e:4 requires:2 n6:1 once:1 |
0704.0303.txt |@word bays:3 hampton:1 since:4 systematic:2 limited:1 reu:1 caused:1 green:1 particular:2 results:4 month:2 four:3 calorimetric:2 overlap:2 grateful:1 op:1 consists:1 disk:1 assembled:2 causes:1 content:3 fronts:1 calculate:1 aug:1 re:1 subjected:1 show:1 tr:1 arid:1 finally:2 program:3 those:7 th:1 under:4 sent:1 summarizes:1 applied:2 global:1 g2:2 advantage:1 organizations:1 very:1 deviates:1 rise:1 longtin:8 connects:1 geometrical:1 every:1 tanks:2 refractive:2 laser:3 difference:1 offline:1 leads:1 percent:2 facilities:1 transmission:2 positions:1 anisotropy:2 ri:2 travels:2 westerhoff:1 sand:1 small:6 optics:3 ǫi:3 pmt:2 correct:3 encloses:1 smaller:2 force:1 zi:4 29th:2 consistent:1 parameterization:1 estimates:1 direct:4 pulse:2 modified:1 approximation:2 winds:1 second:3 street:1 design:2 pass:1 rigorous:1 estimated:1 bold:2 blue:2 hourly:2 errors:2 adds:1 henyey:4 section:7 reaching:1 optoelectronics:1 near:4 expressed:1 current:3 below:2 experiment:3 reconstruction:8 fractional:2 new:4 subtracting:1 ever:1 nights:15 nominally:1 full:2 arb:2 ydi:1 respectively:2 compilation:1 component:8 edmund:1 here:2 water:1 asymmetry:9 test:1 operating:4 cos2:4 directions:1 layout:1 along:1 strong:2 table:1 appears:1 change:3 dry:3 loma:1 great:2 voice:1 incoming:1 photomultiplier:2 geophys:2 study:8 larger:3 allows:1 commonly:1 suggests:1 amount:5 resulting:1 published:1 shaded:1 changes:2 pixel:10 composed:1 diameter:2 flash:5 term:1 projection:1 figure:1 scales:1 visible:3 org:2 apply:1 total:9 apf:51 research:2 unit:1 plot:2 use:7 doe:1 eye:1 indicated:2 usa:5 distinct:1 contains:2 suppl:1 nonnegligible:1 next:2 almost:1 nucl:3 camera:4 therefore:6 m2:1 aperture:3 scope:1 means:1 type:2 theoretical:1 more:6 beyond:1 mellon:1 relay:3 becomes:1 ti:3 corrected:1 emission:1 curvature:2 geophysics:1 normalized:1 excellent:1 calorimeter:1 cases:2 hold:1 must:3 fly:1 high:6 account:1 hour:2 effectively:1 science:2 equation:1 averaged:2 subrange:1 mt:1 remain:1 minimum:1 values:16 indicating:1 astrophys:1 starts:1 following:2 about:4 dec:1 averages:1 example:2 control:2 compare:1 andrews:1 impacts:1 give:2 december:6 ambient:1 india:2 sample:1 indicates:2 assumptions:1 performed:6 unphysical:1 serial:1 counting:1 axis:1 afl:1 information:2 needs:3 rays:3 monitoring:8 straightforward:1 pure:7 rather:3 auger:36 divided:1 six:1 andes:1 situ:1 how:2 varies:1 resolution:1 fourth:1 familiar:1 opt:1 thomson:1 parameter:17 nevis:2 circular:1 profile:1 buildings:1 proc:8 description:1 may:2 broad:2 earlier:1 southern:2 corrections:3 produce:2 fd:44 designed:2 fits:2 horizontal:3 data:36 types:3 sz:1 short:2 johnson:2 light:60 lines:1 plateau:1 parameterized:1 dσa:3 cascade:2 si:3 so:9 expression:1 allow:1 ultraviolet:1 cherenkov:6 operate:3 began:1 wind:6 sd:4 our:3 wavelengths:6 pulsed:4 closely:1 ith:3 produces:1 over:9 humidity:1 vary:1 installed:1 stability:1 paper:5 through:4 pulser:1 nitrogen:4 mentioned:1 japan:2 still:2 fwhm:1 its:3 industries:1 group:1 monitor:2 fit:19 located:2 energies:4 clf:2 lamp:4 forms:1 window:1 fig:24 instruments:1 argentina:2 main:2 might:1 image:1 erida:2 non:1 greater:2 bay:2 practice:1 30th:2 number:10 band:5 effects:2 they:1 front:1 nov:1 day:1 represents:3 february:1 rms:3 oxygen:1 fully:1 university:5 via:1 perkin:1 realistic:1 connolly:1 reasonable:1 each:16 unusable:1 beneath:1 roberts:1 characterized:1 mean:6 subset:1 photocathode:1 differential:1 financial:1 telescope:2 scheme:1 energy:14 reduce:1 µ2i:1 fires:1 literature:1 expect:1 astroparticle:3 measure:8 wavelength:8 operation:2 ev:1 eq:8 enclosure:1 out:5 large:3 shown:2 dominates:2 container:2 twice:1 characteristic:1 cameras:4 singling:1 particles:5 fx:1 conclusions:2 differ:1 c35:1 electronics:1 induced:1 rh:1 occurs:1 red:2 shows:9 foundation:1 theory:3 8l:1 ri2:2 divergence:1 albuquerque:1 possibility:1 standard:4 measurable:1 completely:1 complicated:1 york:1 matthews:3 estimate:4 telescopes:2 card:1 software:1 influences:1 pune:2 geometry:6 determining:1 cosmic:14 days:1 flagged:1 filter:3 length:7 isotropic:3 corrector:1 onto:1 speeds:1 first:6 origin:1 major:1 there:1 designated:1 probability:2 upper:1 primary:5 references:1 clear:4 approximately:1 another:2 comprises:1 array:5 electronic:1 angular:3 validity:1 size:6 given:3 temperature:1 indicate:2 introduction:1 meaningful:1 top:3 structured:1 system:5 airborne:1 their:3 returns:1 assumption:1 tune:1 calculations:1 analyzed:2 hundred:1 molecular:10 national:1 gives:2 free:1 mostly:1 ratio:1 pittsburgh:1 season:1 completed:1 continuous:1 prediction:1 binned:2 part:8 too:1 july:1 than:4 observed:10 photograph:2 observatory:17 princeton:2 sections:1 approximations:1 database:2 intensity:3 submitted:2 shower:13 determined:10 shoots:2 were:5 providing:2 acquisition:1 collecting:2 hz:1 few:4 correction:3 concludes:1 spectrum:1 attenuation:7 phy:1 operated:1 fiebig:1 showers:3 need:2 seen:7 hexagonal:2 albedo:2 ray:11 instrumentation:1 traditionally:2 angle:17 built:2 zero:1 depending:1 studying:1 mie:7 note:2 extracted:1 lifts:1 sr:1 performance:3 detector:27 channel:1 play:1 multiple:2 trace:1 though:1 track:4 jun:1 collaboration:9 sets:2 systems:1 most:5 regular:3 fg03:1 jul:2 position:1 phase:60 analytically:1 measured:10 aberrations:1 known:6 wireless:1 especially:1 considered:1 incomplete:1 calculated:1 detectors:13 km:3 order:4 agencies:1 optical:10 aerosol:50 bins:6 azimuth:6 communication:1 effect:5 typical:5 typically:4 fact:2 seasonal:2 atmosphere:10 shot:6 rayleigh:21 supported:1 scattered:14 relatively:1 purely:3 radio:2 carefully:1 earth:1 find:1 ground:2 completion:1 o:1 based:2 office:1 parameters:12 cousins:1 exico:2 negligible:3 operational:1 being:1 only:11 molecules:4 factor:2 identification:1 he:3 local:6 oct:1 nj:1 meant:1 plate:1 his:1 legendre:1 above:4 wide:1 dependent:2 mainly:2 de:1 overall:1 hexagonally:1 beam:19 unimportant:1 cannot:2 nearly:3 words:1 progress:1 report:1 during:11 conjunction:1 secondary:1 produced:1 increasing:1 aluminum:1 covering:1 fields:1 arxiv:1 batteries:1 yield:1 summary:1 default:6 stored:1 shots:7 double:1 analytical:2 including:1 sep:1 inside:1 virginia:1 view:9 ignored:1 bars:1 set:5 res:2 achieved:1 sensitivity:1 correlations:1 respect:1 detection:2 depends:4 computer:3 radius:1 us:2 enhanced:1 corrupt:1 close:1 techniques:1 appear:1 detect:1 setting:1 incorrectly:1 placed:2 speed:3 currently:2 sites:3 boundaries:1 outside:1 future:3 various:1 closed:1 between:14 drawn:1 boundary:2 conditions:6 across:3 available:5 comparable:1 ability:1 relative:7 importance:1 commercial:2 complement:1 emitted:1 combining:1 however:6 rapidly:1 efficiency:2 loading:1 28th:2 key:1 contamination:4 coma:1 σa:3 jg:1 come:1 pixels:1 improve:1 both:9 cos:3 enables:1 σm:3 taking:4 density:2 hours:1 equal:3 contract:1 thor:1 chosen:1 greenstein:4 cylindrical:1 focused:1 contribution:2 whole:1 nearby:2 gps:1 relevant:3 co:1 extent:1 cm:3 generic:1 16f:1 period:3 undergraduates:1 expectations:2 pm:4 simply:2 r43:1 cancel:1 moreover:1 points:2 conference:7 combines:1 described:8 2gµ:2 basis:3 addition:1 west:1 elmer:1 due:6 been:2 dσm:3 int:7 increase:1 describes:3 refurbished:1 combined:1 interest:2 mirrors:2 expected:1 reflective:1 ph:5 ann:1 containers:1 ls:1 files:1 obtained:4 direction:5 describe:3 corresponding:4 sufficient:1 excite:1 binning:1 locations:2 photos:1 controller:1 observe:2 determination:5 representative:1 angles:11 hamburg:1 λa:4 present:2 case:2 exception:1 schmidt:1 atmospheric:19 pacs:1 solid:3 reliable:1 value:8 air:16 will:6 while:4 associates:1 match:1 error:1 properly:1 ultra:3 50r:1 region:2 procedure:1 climatology:1 bin:1 mexico:2 diaphragm:1 characteristics:2 site:16 surface:9 according:1 ii:1 cluster:1 experience:1 curved:1 insensitive:1 interacts:1 ring:1 different:4 develop:1 grant:1 lengths:3 impact:1 make:2 radiation:1 cross:4 same:2 any:1 reconstructed:3 parts:2 schematic:2 largest:2 units:3 adc:5 several:4 lacks:1 events:9 higher:1 status:2 used:14 columbia:2 slightly:1 see:2 i0:2 upon:1 require:1 rain:2 kit:1 average:4 viewing:3 strength:1 dust:2 focal:1 recent:1 instr:1 lower:1 hexagon:1 center:3 siemens:1 accumulate:1 studies:1 no:2 well:4 roughly:1 analysis:12 ogren:1 directly:1 components:2 simulated:2 five:3 model:9 laboratories:3 comprise:1 left:7 spherical:4 routinely:1 golden:3 transmitting:2 hybrid:4 distribute:1 obtain:1 rest:1 sources:19 shape:5 intervals:1 distant:1 years:2 scattering:52 yet:1 λm:4 task:1 enters:1 preprint:1 ny:1 27th:1 thick:1 extra:1 sky:1 signals:1 source:11 add:1 causing:1 treatment:2 θmax:2 relevance:1 stable:2 extensive:3 east:1 unprecedented:1 backscatter:3 identical:2 reconstructing:1 elevation:4 around:1 enable:1 utah:1 possible:2 deepak:1 matters:1 grid:1 background:1 press:2 using:9 bit:1 depicts:2 atmospheres:1 observes:1 lost:1 particle:6 shaped:1 topography:1 follows:1 signal:12 clay:1 extremely:1 shapes:1 communications:1 normalization:4 epoxy:1 arbitrary:1 become:1 works:1 reduces:2 scatterers:2 www:2 because:5 often:2 deal:1 sequence:1 do:2 some:1 pierre:26 polynomial:1 deduce:1 meters:1 examples:2 sight:1 mirror:4 photomultipliers:1 hires:2 indirect:2 provided:1 vol:1 extinction:8 tsukuba:2 cns:1 confirm:1 tasks:1 tools:1 measurements:19 recorded:3 per:2 get:1 contributing:1 does:3 esc:1 periphery:2 provides:2 assuming:1 bessel:1 scientific:2 power:1 location:3 seconds:1 whose:1 night:2 perpendicular:1 notably:2 pressure:1 lamps:3 variation:1 although:1 plots:1 includes:1 dictated:1 properties:5 publishing:1 comparison:3 aerosols:11 central:4 carried:1 stations:3 powered:2 dependence:4 shipping:1 simulation:1 range:6 ensure:1 km2:1 horizon:2 germany:1 efforts:1 introduced:1 consequently:1 uvt:1 plan:2 outlook:1 almeida:2 facility:4 radiative:3 into:2 within:3 integral:1 backscattering:2 nsf:1 three:2 λtot:2 weather:3 accounts:2 proportional:1 mrad:1 uncertainties:1 acknowledgements:1 additional:1 area:5 transfer:1 support:1 initial:1 approximate:1 lidar:1 los:7 board:1 pa:5 low:1 fraction:1 forward:8 moonless:1 analyze:1 was:7 assumes:3 function:69 medium:1 north:1 elsewhere:1 form:2 becoming:1 differences:2 removes:1 but:4 histogram:4 astro:5 taken:7 construction:2 link:2 solar:2 line:1 removed:1 themselves:2 deployed:1 partially:1 directed:1 made:1 arranged:1 fluorescence:24 instructive:1 arrays:1 selects:1 attenuate:1 uv:9 variations:1 up:1 devices:1 ωi:2 record:1 fds:7 planes:1 ue:4 fick:1 distribution:8 panels:2 called:1 distance:3 strongly:2 constant:1 calibrate:1 defined:2 cover:1 abstract:1 measurement:6 am:2 modify:1 single:2 reliability:1 right:5 periods:1 inverter:1 journal:2 accounting:1 work:2 meth:1 inc:3 functions:4 compared:1 nm:25 calibration:6 aeronautical:1 index:2 whereas:1 when:5 detail:1 reality:1 compares:1 field:8 other:6 role:1 normal:1 carbonaceous:1 department:4 acrylic:1 concerning:1 principle:2 deviation:3 draw:1 models:1 xenon:4 june:7 carnegie:1 much:2 important:3 log:1 θmin:2 astronomy:1 omega:1 desert:5 building:3 abraham:2 overlooking:1 dω:6 assume:3 physics:5 bottom:1 modules:1 cosine:2 depth:3 lying:1 time:8 far:1 appl:1 backward:2 requires:1 indirectly:1 initiating:1 once:2 |
0704.0304.txt |@word limited:1 concept:7 semantic:1 consider:1 depends:1 resist:1 biosphere:3 dittrich:1 chaos:2 leads:2 eds:9 manages:2 entropy:5 computation:5 mcmullin:2 consists:1 alj:1 primer:1 integrity:2 payoff:2 relationships:1 content:1 certainly:6 inverse:1 aug:1 animal:1 marko:1 cess:1 presents:1 2004b:2 finally:1 program:1 those:3 under:4 breach:1 ontological:1 worth:1 resources:1 conservation:1 applied:3 worse:2 kumar:1 very:1 could:6 bulletin:1 springer:3 atoms:2 puzzles:1 replication:1 electron:2 every:1 cellular:3 animals:4 difference:1 encounter:1 four:2 randomness:1 presented:5 transmission:1 notes:2 july:2 ryan:1 deals:1 discrete:1 systemic:1 unproblematic:1 perceives:5 gut:1 biological:5 anticipative:1 limitations:1 vicsek:2 pragmatic:1 disciplines:1 trend:1 edu:2 maximization:1 maintain:4 second:6 noise:2 design:1 perspective:2 7th:1 further:4 dynamics:5 bacteria:1 machines:4 even:3 established:2 what:3 errors:3 plays:1 organisms:1 descriptor:1 worsen:1 fact:1 section:7 favour:2 ended:1 current:2 consistently:1 abs:4 above:1 capital:1 new:10 suggesting:1 increasing:1 method:1 viii:1 body:1 evolving:5 bioessays:1 led:1 notions:2 degree:1 niche:3 mechanisms:1 men:1 here:1 understanding:1 behaviour:2 abandon:2 explore:1 anticipation:1 active:1 ratio:5 along:1 observing:2 interpret:1 darwinism:1 great:1 property:2 institute:5 shift:3 study:3 studied:3 allows:1 completely:1 reports:1 suggests:1 amount:2 loop:3 suggestion:1 cousins:1 domains:1 advantages:2 kauffman:13 studies:5 york:2 composed:1 parisi:1 live:1 via:1 followed:1 santa:4 scales:4 ikegami:1 explained:1 boolean:2 decrease:2 darwinian:4 ai:1 ninth:2 should:2 route:1 causal:1 market:1 environment:16 use:2 dcu:1 metaphor:3 links:1 usa:1 remains:2 contains:1 2004a:6 next:2 rodriguez:1 automata:4 call:1 opposed:1 december:1 taken:1 scope:1 themselves:2 meyer:1 entails:2 reflects:1 more:29 introducing:1 knows:2 becomes:2 stable:3 physrevlett:1 site:2 tested:1 characterization:1 verlag:2 particular:4 known:2 cases:2 producing:3 analogous:1 must:1 evolves:2 account:1 vienna:1 ma:4 origins:4 languages:1 wiesenfeld:1 science:5 work:5 london:2 mt:1 vs:1 evolved:3 concepts:1 following:11 german:1 nlin:2 example:13 history:1 control:5 bell:1 stated:2 process:1 introduces:2 stoica:1 share:1 purposes:3 agent:17 soup:1 states:3 effectively:2 something:1 sense:2 sharp:1 constituting:1 species:1 english:1 information:183 autonomy:8 goal:1 sword:1 rather:1 interacts:3 discussion:1 acts:1 capra:1 arrangement:1 chemical:1 how:6 varies:2 fourth:1 optimal:1 hierarchical:1 constraints:5 wolfram:3 inputs:1 plant:1 perception:3 explores:1 description:5 transforming:3 turing:1 philosophy:2 needs:1 polymerase:1 catalog:1 produce:5 fe:4 waves:1 centrum:1 law:28 meaningful:1 heidelberg:1 types:2 changes:2 organization:18 natural:1 dynamical:1 brussel:3 onto:1 june:2 wittgenstein:2 redundant:1 st:1 perform:1 complexity:36 cannot:7 so:4 allow:2 seems:2 representation:1 increase:8 order:10 exclusive:1 evolutionary:2 help:1 proceedings:3 produces:3 developed:1 over:6 auburn:1 stability:3 brain:1 paper:10 including:2 looks:1 thesis:3 argued:1 austrian:1 still:7 langton:4 its:30 before:1 tending:1 ement:1 ull:1 fit:1 immune:3 interesting:1 pcp:1 edge:2 destroyed:3 argue:1 complex:24 degrees:1 systems:28 persist:1 banzhaf:1 potentially:5 main:1 might:3 possessing:1 them:8 adjacent:1 surrounds:1 press:14 material:2 noticing:1 framework:5 they:12 milestone:1 own:6 discuss:1 developments:1 it1:1 worlds:1 february:1 vidal:1 oxygen:1 cognition:21 ector:1 level:2 proteins:5 2d:1 trap:1 arrow:2 each:2 organized:3 higher:3 carlos:2 referred:1 development:2 bridging:1 england:1 directly:1 doing:1 ed:7 energy:13 spanish:1 principles:1 related:1 society:3 books:1 static:1 variety:4 measure:1 quantum:1 our:6 avoided:1 shannon:4 out:2 category:1 living:21 shown:1 sunlight:1 3rd:2 space:1 profit:1 rep:2 since:15 rev:1 factory:1 research:2 particles:6 acting:1 sustain:1 thermodynamic:5 term:1 lecture:1 adaptive:5 receiving:1 issue:2 occurs:2 architecture:1 representations:1 wiley:1 wisconsin:1 theory:8 confused:1 maintains:1 galaxies:1 brooks:1 like:3 mikhail:1 difficulty:1 approaches:3 salient:1 complicated:2 struggle:1 dx:6 put:2 org:14 sensors:1 generate:1 definition:3 interaction:1 benefits:1 language:3 created:3 gershenson:13 biosystems:1 just:3 computers:1 david:1 int:1 explored:2 place:1 url:33 generalizations:1 south:1 first:6 origin:3 ieee:1 industrial:1 probability:2 spoken:1 relate:1 variables:1 robotic:1 ziegler:1 will:32 philosophical:2 cybernetics:5 neglects:1 another:7 changing:1 uribe:1 precisely:2 open:3 idea:2 city:2 given:6 necessarily:3 temperature:1 dennett:2 introduction:3 interact:4 stewart:2 system:12 rasmussen:2 their:16 perturbations:4 too:3 time:2 viral:1 bits:1 easier:3 bacterial:1 ashby:3 relationship:3 cope:1 explanation:1 serve:1 adap:2 always:1 environmental:2 part:3 hup:1 fuzzy:1 requisite:5 believe:1 institution:1 blind:1 observed:1 kind:1 determines:1 accordance:1 structures:1 require:2 drift:1 namely:1 modelled:1 matter:15 future:2 synthesis:4 html:2 motivation:1 behavior:2 exploring:1 face:1 cohen:6 modern:1 mind:2 generalization:1 chapman:1 already:2 say:1 hallam:1 need:7 seen:14 regulate:3 any:3 ray:2 forced:1 generalizes:2 hopfield:2 zero:1 depending:2 studying:2 self:13 agency:3 able:5 gravity:1 mechanism:1 note:1 sciences:2 high:1 internal:2 take:1 xi:1 encyclopedia:1 mit:3 universities:1 towards:1 multiple:2 opposite:1 price:1 who:2 molecule:7 react:2 extending:3 propagate:13 claims:1 phase:1 acknowledgements:1 measured:1 why:2 pollack:1 workshop:1 doi:6 especially:2 ecal:1 fitter:1 clear:2 implications:2 dod:1 universiteit:2 traditional:1 giving:2 perceiving:4 illuminating:1 electrons:1 principle:5 workspace:1 mechanical:1 velocity:1 finitary:1 physics:10 notion:19 came:1 laws:13 thomas:2 selection:1 particularly:1 regulated:1 hunger:1 chances:1 agreed:1 random:4 gerasimov:1 multicellular:1 wordsworth:1 relation:1 artificial:13 networks:3 feedback:1 impact:1 cell:3 based:2 knowledge:3 prevailed:1 situations:1 explain:1 proportion:2 outside:1 than:17 only:17 princeton:2 molecules:8 gradual:1 darwin:4 ruiz:4 equilibrium:1 meant:1 do:1 means:1 dependent:1 landscapes:1 zurek:1 de:2 perceive:14 community:1 ones:6 tierra:1 words:7 international:4 during:3 entity:1 prentice:1 areas:1 produced:3 evolution:26 shalizi:2 continuum:1 introduced:1 acs:1 conditions:1 arxiv:5 borrow:1 european:1 inbuilt:1 common:3 contain:2 through:3 bak:2 generations:1 view:1 blackwell:2 withstand:1 art:1 aspect:3 observer:2 acquired:1 special:2 humans:1 emergent:2 hopefully:1 relative:2 ii:1 see:4 computer:4 descriptions:2 behavioural:1 inspired:1 stanley:1 theoretic:1 alternative:1 best:3 ability:4 closes:1 madison:1 said:1 potential:1 interacting:2 ways:2 harvey:1 review:1 sites:2 propagates:3 tend:3 vol:5 state:1 determined:1 action:3 between:10 stadler:1 propagated:2 boundary:1 reading:1 approach:7 across:3 schuster:1 variability:3 latin:1 terms:9 perceived:8 extend:3 nature:3 rock:1 however:7 harvard:2 hypothesis:1 distinguish:1 leo:1 water:1 autonomous:1 garden:1 improve:1 suggested:1 received:1 paradigms:1 vub:4 brown:2 triggers:1 strands:2 taking:1 evolvable:1 according:4 etc:2 objects:1 games:2 receives:1 distinction:2 mean:1 com:18 organisation:1 comes:1 among:2 regulates:2 point:1 reasons:1 explanatory:2 ca:1 individuality:3 environments:2 maintained:1 homogeneously:1 agents:27 adaptation:1 maximize:1 cs:1 moreover:2 throughout:4 speak:1 considering:1 better:9 ensures:1 described:7 perspectives:1 puts:1 thermodynamics:3 computing:1 9th:1 been:7 hutton:1 transcription:2 genetic:1 production:5 change:3 interest:1 basic:2 ph:2 universal:1 differently:1 addison:1 life:50 arises:1 diversity:1 versa:1 reaction:1 am:2 sufficient:2 wheeler:2 search:1 dangerous:1 observers:1 observe:1 external:2 receive:1 coordination:1 former:1 present:5 case:2 novel:5 processes:1 contexts:1 defining:1 edged:1 promotes:1 aim:1 technical:2 while:3 theoretical:1 editorial:1 many:1 helbing:2 balance:2 guide:3 immunol:1 april:1 ix:2 boston:1 chaotic:1 informational:2 von:4 thus:6 non:8 iv:1 hardware:1 characterize:2 tinyurl:15 itself:7 varela:2 limit:1 protein:2 technology:2 greater:3 different:17 decoupling:1 develop:1 sab:1 propagation:10 perhaps:1 media:1 make:2 secondorder:1 lett:2 same:4 highlighted:1 food:1 drawback:1 epistemological:1 arguments:1 copying:1 several:2 survival:1 difficult:2 templates:1 evolve:2 used:11 http:35 context:2 schiller:1 lie:1 farmer:3 interscience:1 effect:1 average:1 purpose:1 kim:1 pdf:2 robust:2 generalize:1 destruction:1 suitable:5 maximizing:1 homepages:1 neural:1 makes:2 no:10 well:7 increases:2 perseus:1 double:1 academic:2 without:4 components:1 thoroughly:1 quantitative:1 model:1 chemistry:2 stating:1 researchers:1 posses:1 summer:2 learning:2 lesser:1 proposed:1 less:2 being:4 modular:1 chen:1 obtain:1 rest:1 ideas:2 proposes:1 roederer:3 ch:1 economy:1 human:4 world:13 years:1 useful:3 yes:1 speed:1 yet:1 previous:2 spatiotemporal:1 candidate:1 conclusions:2 cl:1 smith:2 hall:2 passive:1 simple:10 other:18 transformed:9 maintaining:2 easy:1 technological:1 relevance:1 advanced:1 transformation:9 match:1 generalized:1 vrije:2 aspects:2 criticality:5 demands:1 advances:2 rna:3 possible:8 cf:1 cultural:1 five:1 know:3 belgium:1 using:3 emergence:2 complexification:1 color:1 formal:2 necessary:3 cognitive:8 particle:1 calabretta:1 exploiting:2 qualitative:1 exploit:1 physrep:1 specific:1 benefit:3 individuals:1 moreno:4 follows:1 translated:1 simply:3 ie:1 university:6 adami:6 mathematical:3 beneficial:1 because:11 methods:1 crowd:2 people:1 creation:1 phenomena:6 certain:1 growth:1 examples:1 prokopenko:7 tutorial:1 embodied:1 gradually:2 scale:5 describing:8 lead:3 investigations:2 novelty:2 thank:1 comments:1 get:1 flow:3 everything:5 does:2 steps:1 propagating:4 proc:1 refer:1 measuring:1 conference:5 biology:5 object:1 meanings:2 scientific:3 slight:1 problems:1 journal:3 fitness:2 pp:7 wesley:1 step:2 watson:1 ratios:1 become:3 losing:1 dna:1 francis:1 properties:3 publishing:1 constrains:1 about:11 goods:2 central:1 would:11 anything:1 most:2 universe:3 capable:1 discussed:2 o:2 simulation:4 practical:1 extension:1 ll:1 nj:1 act:3 complexities:1 recognizes:1 suggestions:1 discusses:1 crutchfield:2 metaphors:4 seeing:1 cambridge:2 zamani:2 communication:2 into:3 www:5 latter:2 references:1 responds:1 elementary:1 binding:3 often:1 van:1 area:1 assumed:1 there:22 maes:1 fast:6 start:3 describes:2 way:6 series:1 forward:2 was:2 suzuki:1 naturally:1 function:2 considerably:1 north:1 maintenance:2 form:1 some:8 becoming:1 but:17 formalisms:2 properly:1 game:1 atom:2 russian:1 line:1 trying:1 oxford:3 zenil:1 made:3 packard:1 whether:1 characteristic:2 cells:4 robustness:1 maximum:2 us:7 rnap:3 considered:2 below:1 exploration:1 critical:5 uk:2 sum:1 grasp:1 problem:1 meyers:1 similar:4 called:1 detailed:1 ac:4 taylor:1 ordered:1 krakauer:6 inclusive:1 defined:3 cover:2 abstract:1 describe:20 influence:1 expands:1 ao:2 general:4 conserved:5 enable:1 exist:1 physica:1 tang:1 formalism:3 prevail:1 computational:3 physical:9 lnai:1 mutual:1 transitions:2 tentative:7 organizing:2 redwood:1 when:7 treatment:1 reality:1 application:1 valid:2 role:3 biol:1 outputs:1 tech:2 theor:1 adam:1 elements:1 star:1 generates:1 separate:1 behavioral:1 categories:1 variation:2 much:3 meaning:5 important:2 variable:3 structure:2 source:1 simon:1 independently:1 implies:1 faster:1 vice:1 assume:2 organism:1 age:2 required:1 together:1 original:1 nasa:1 presenting:1 narrative:1 far:1 quantity:2 requires:2 having:2 once:2 |
0704.0305.txt |@word neighbors:1 represent:2 measurements:2 sci:1 consider:1 mahadevan:2 magnetic:3 rod:2 existing:1 illustrated:1 parker:1 york:2 remarkably:1 causes:2 rigidity:7 whose:1 biol:5 depend:1 cri:1 depletion:2 segments:5 laid:2 mackintosh:2 kα:1 does:1 contours:3 under:3 indicating:1 brown:1 bras:1 supported:1 orthogonal:1 rise:1 account:1 wave:2 every:1 nesting:2 experimentally:1 difference:1 exact:1 condition:1 treating:1 entire:1 tran:1 progression:1 positions:1 guo:2 solution:6 ri:1 discrete:1 science:2 small:2 dimer:1 work:1 force:22 consistent:3 estimates:1 direct:1 surrounding:4 imply:3 insertion:1 further:3 oligomers:1 estimated:2 quite:1 theory:1 even:1 established:2 giving:1 fact:1 striations:2 selected:1 l0:6 uniform:6 cell:6 seconds:1 goes:2 lifshitz:1 new:4 contrast:6 movement:1 bausch:1 simultaneously:1 behavior:1 malized:1 respectively:2 component:1 here:2 perpendicular:2 following:1 packing:1 eikx:1 directions:1 latent:1 along:10 strong:1 appears:1 calculate:1 box:1 solid:10 buckled:3 study:1 dixon:1 experience:1 suggests:3 domains:1 birefringent:5 studies:3 pixel:3 elongated:2 plotted:3 composed:1 followed:2 scales:2 apr:1 belmonte:1 polarizers:1 visible:1 motor:1 unit:1 plot:1 use:1 remains:1 bundles:38 predictions:2 few:1 therefore:1 warmed:1 m2:1 taken:4 actin:1 bundled:1 assessment:1 start:1 more:1 flat:2 lmt:9 mitchison:2 marks:4 validity:1 glass:1 normalized:4 microtubules:1 particular:1 aligned:4 presumed:1 compressional:11 involve:1 mg:3 ma:1 ingber:1 hour:1 mm:4 ml:3 lapse:3 averaged:3 dev:2 ıaz:1 mt:42 crossed:1 thin:1 growing:1 spontaneous:1 example:3 sinusoidal:3 sliding:1 scan:2 process:3 pieces:1 sample:10 minimum:1 bend:2 slip:3 rods:3 occur:1 axis:10 information:1 needs:1 medrano:1 end:2 pollard:1 provide:2 varies:1 adjacent:1 pins:1 instead:1 parameter:1 sin:1 sato:1 nematic:1 luchko:1 atan:2 after:2 spot:1 3rd:1 fc:3 fits:1 data:2 parallel:2 short:1 liquid:1 light:1 elongation:10 arrow:1 green:1 fundamental:1 order:2 orientations:1 integrated:1 help:1 schwartz:1 produces:1 over:5 fft:5 find:1 kk2:1 stability:1 held:1 thermal:1 experiments:1 through:7 its:3 before:2 position:1 thank:2 fit:3 ln:1 interesting:1 temporal:2 writing:1 better:1 microscopic:3 fig:21 convective:2 coordinated:1 into:3 shear:1 eur:1 versus:2 molar:1 them:2 reveal:1 material:1 processes:1 number:1 asymmetrical:1 they:1 oxford:1 speculate:1 maintaining:1 february:1 james:1 university:1 traced:1 proteins:2 slide:1 magnitude:3 mode:3 reasonable:4 each:4 instability:1 traces:1 ed:2 energy:1 directing:1 displacement:1 mm3:2 static:2 measurement:2 wavelength:17 beyond:1 eq:5 adequately:1 shown:4 network:14 driving:2 space:1 surrounded:1 rev:3 maggs:1 acting:1 investigation:1 denoted:1 induced:2 occurs:2 shows:1 8k:1 earlier:1 linear:1 birefringence:2 mechanisms:1 standard:1 frey:1 formation:4 imaging:3 conflicts:1 estimate:3 generate:1 maret:1 interaction:1 desai:1 times:1 creates:2 turn:1 length:10 assumed:1 quadratically:1 buckle:4 first:1 major:1 organize:1 bordas:1 vitro:1 intuitively:1 spots:1 array:1 angular:2 size:1 given:1 long:2 similarly:1 leading:2 system:3 approximately:1 their:6 observations:1 white:10 molecular:2 structures:3 williams:1 motility:1 ratio:1 explanation:1 coalesce:1 prediction:1 elec:1 bower:1 constituent:1 x0:4 holder:1 than:2 x4:1 diffusion:1 relative:2 polarized:1 determines:1 effective:1 rate:6 computer:1 sured:1 kmt:2 amplitude:1 were:2 garland:1 elongate:5 solely:1 result:1 lines:3 curves:3 need:1 apparently:1 chem:3 angle:3 min:5 self:2 mechanism:2 contact:1 onset:3 k2:1 causing:1 forces:1 modulus:1 surfaces:1 begin:1 normal:1 buffer:1 salmon:1 organization:3 phase:5 transverse:1 measured:4 reduces:1 neighboring:4 calculated:2 flow:2 asters:1 points:1 chester:1 mechanical:8 velocity:3 dispersed:2 physics:3 section:1 wavenumber:1 surrey:1 thomas:1 selection:1 show:2 random:1 talbot:1 implying:1 radii:1 relation:3 solutions:3 yurke:1 thickness:1 agrees:1 current:1 slow:7 based:3 parameters:1 jay:1 much:1 proportion:1 black:1 molecules:1 constant:7 local:3 equilibrium:1 do:1 predict:1 dominant:1 above:1 stripes:3 yielded:1 liu:2 grew:2 nearly:2 during:2 striped:5 designates:1 gray:4 evolution:6 bar:1 consist:1 aluminum:1 arxiv:1 motion:1 comprising:1 microscopy:3 summary:1 microscope:2 subjected:1 langmuir:1 mts:28 fixed:2 view:1 reveals:1 bundling:2 exerted:1 observed:2 opposite:1 intensity:2 individual:5 vivo:1 enhanced:1 discussions:1 mea:1 contour:6 allan:1 vertical:1 pattern:10 nature:2 justifies:1 materials:1 µm:5 determined:1 various:1 between:9 conditions:1 across:1 ends:2 extend:1 visualization:1 initially:2 unaligned:1 weak:2 jr:1 eukaryotic:1 derive:1 striated:3 understanding:1 come:1 suggested:1 reaction:1 cos:1 limits:1 many:1 region:6 attributed:2 chosen:1 leibler:1 dated:1 experimental:1 relevant:1 appeared:1 seems:1 heald:1 period:1 respect:1 crystalline:1 considers:1 gtp:1 leads:1 addition:2 west:1 retardance:8 three:4 been:1 mark:1 describes:2 initiation:1 azimuthal:2 ph:2 pn:1 containers:1 lett:2 obtained:2 direction:4 controlled:1 combing:1 both:4 formed:5 striation:3 representative:1 c3:2 c2:2 c1:2 general:1 present:2 tang:2 straight:2 nski:1 value:2 spontaneously:2 employ:1 while:2 fiducial:5 encircled:1 freely:1 balance:1 bray:1 characterizing:1 weakens:1 bathe:1 orientation:7 coupled:2 thus:2 characterize:2 ambient:1 increased:1 sequentially:1 tubulin:9 different:5 prior:1 lengths:5 powers:1 make:1 cross:2 same:2 schematic:1 grows:1 higher:1 development:1 oriented:1 peaks:1 biophys:4 drives:1 hand:1 driven:1 landau:1 recent:1 dark:1 fourier:2 center:1 scenario:1 spindles:1 roughly:1 analysis:3 magnified:1 patterns:7 without:1 involves:2 quantitative:2 model:23 drawing:1 left:1 bending:7 bottom:1 presume:1 proposed:4 kramer:1 obtain:2 valuable:1 λc:2 shape:1 underlying:1 identify:1 predicts:2 purified:1 macroscopic:1 coordination:2 alignment:1 previous:1 polarization:2 polymerized:2 density:1 microtubule:4 alternate:1 had:1 conjugated:1 nor:1 samples:2 natl:1 relevance:1 cuvette:5 remaining:1 euler:1 bio:1 dimers:2 around:1 depends:2 showing:2 implications:1 early:1 weitz:1 background:2 distortion:1 using:11 depicts:2 occurring:2 necessary:1 like:3 follows:1 collective:1 performing:1 specific:1 yields:1 fully:2 essential:1 sketch:1 acad:1 envision:1 exposed:2 growth:3 images:7 shapes:1 throughout:2 tracked:1 contacts:1 annu:1 investigations:1 recorded:1 per:2 providence:1 critical:5 linearly:1 provides:1 assuming:1 proc:1 restoring:2 measuring:1 biology:1 buckling:35 minimization:1 performed:1 elucidate:1 ration:1 agreement:1 illustration:1 variation:1 offset:1 properties:1 stage:3 gained:1 about:2 central:2 dependence:1 distinct:1 range:1 places:1 concentrations:2 software:1 cambridge:1 letters:1 image:4 within:8 elasticity:3 nsf:1 mitosis:1 contributor:1 theoretically:1 fast:2 additional:1 elastic:10 area:2 segment:2 support:1 initial:3 radially:2 transform:2 specifically:2 polymerization:10 valles:2 pa:5 way:1 was:9 function:3 tight:1 form:3 pipes:1 gaussian:2 incorporation:1 scope:1 insertions:1 line:5 observation:2 embedded:2 arrays:1 characteristic:4 inside:9 variations:2 quantitatively:2 kumar:1 dmr:2 limit:2 continuously:1 stages:1 similar:2 average:5 shih:1 associated:1 contributors:1 classic:1 defined:1 minutes:4 universal:1 describe:1 resultant:2 single:12 exist:1 our:5 walczak:1 cytoskeleton:2 functions:1 compared:2 oregon:1 dashed:2 discerned:1 field:3 other:4 department:1 starkly:1 conclusion:1 picture:4 quartz:1 calculating:1 models:2 uniformly:5 ultimately:1 bundle:34 generated:2 scale:1 peak:1 sides:1 implies:4 coupling:2 calls:1 interval:1 curve:4 together:1 nasa:1 fitted:3 time:12 n2:1 coherently:1 |
0704.0306.txt |@word roi:2 monte:3 surrounded:6 jason:1 consider:4 chain:3 similarity:1 sensitive:1 concern:2 fabricated:1 four:3 rather:1 ge:136 code:2 per:8 barabash:1 stronger:2 bomb:1 excluded:1 contributions:4 worrisome:1 row:1 dissimilar:1 increase:3 careful:1 ty:2 alamos:5 segments:1 instr:10 presents:3 finally:3 does:3 present:6 mwe:16 stable:1 include:1 cm3:5 cm2:32 indicating:1 summarizes:1 applied:1 shielding:7 dominate:1 outside:1 very:4 scattered:1 activation:1 rise:2 dell:1 focus:1 sons:1 every:1 difficult:1 entries:2 difference:4 continued:10 reading:1 ibm:2 leads:2 propagating:1 mc:4 level:13 did:2 mb:2 proposals:1 solution:1 large:5 shielded:2 orr:1 small:4 anal:1 noted:1 configurations:7 upper:5 oscillation:1 excited:6 consistent:1 estimates:7 direct:2 pulse:1 past:3 fold:1 zero:3 design:2 equal:1 statistically:1 estimated:12 carlo:3 situated:2 spectral:2 established:1 plays:1 apparatus:3 geant3:2 section:17 interactions:24 contributed:2 while:1 supplied:1 thickness:3 lindstrom:2 experiment:6 tail:2 above:9 fractional:1 new:4 ground:2 ever:1 critical:2 contrast:4 dep:10 agreement:1 full:6 unsure:1 respectively:5 mei:3 here:4 understanding:2 reported:1 explore:2 mev:25 them:3 possibility:2 address:3 ratio:8 entire:2 diagnostic:1 table:26 appears:1 interpret:1 deduced:2 box:1 great:1 cern:2 study:7 studied:3 typically:2 experience:1 significantly:1 amount:1 resulting:9 published:2 usually:1 decouple:1 hime:3 studies:2 sci:1 king:1 diameter:2 via:4 useful:4 ratios:3 figure:2 scales:1 considered:5 problematic:1 vii:1 dedicated:1 highly:1 neutrons:57 traversing:2 neutrino:6 total:9 tools:1 select:1 readily:1 environment:2 use:15 proceed:1 would:13 remainder:2 contains:1 tl:19 next:2 few:3 nucl:18 eds:1 overhead:1 therefore:20 ridge:1 taken:9 themselves:1 jonathan:1 type:1 tell:3 minor:2 more:9 flat:1 dietz:1 th:21 points:1 successful:1 initial:1 expose:1 under:1 emission:1 aware:1 tested:1 needed:1 normalized:5 particular:4 known:2 cases:3 hold:1 iii:11 eγ:2 must:6 high:6 account:5 endpoint:4 room:4 hour:3 permits:1 mm:2 science:2 setup:2 work:4 modified:2 labeled:1 assumptions:1 values:5 hope:2 following:3 root:2 example:6 performed:2 attribution:1 claim:2 compare:3 indicated:4 give:2 process:16 suggestions:1 confused:1 hauser:3 sample:1 indicates:5 minimum:1 numbers:1 coincident:1 arise:2 dominant:2 simple:2 absolute:2 normalize:1 rays:16 goal:2 wilkerson:1 provide:1 verify:1 discussion:5 feature:2 how:5 instrum:4 pure:3 instead:1 strong:1 parameter:1 fq:1 tn:1 blocks:2 intended:1 capture:3 may:3 sasso:1 signature:1 derived:2 different:6 lab:6 reflect:1 produce:6 improving:1 develop:2 summarize:2 data:73 response:5 steve:1 natural:10 effective:6 spectra:21 lines:33 summing:1 tale:3 cascade:1 si:1 extrapolation:1 so:4 deposit:5 upton:1 reduced:2 subsequently:1 order:1 typical:1 shield:36 canberra:1 produces:2 laboratory:29 over:3 competing:1 displayed:1 expects:1 interpreted:1 produced:9 thermal:4 experiments:32 through:8 statistical:3 penetrate:3 existence:1 still:3 excitations:3 its:8 depending:1 before:1 style:1 derive:1 outer:1 thank:3 fit:1 decay:44 chosen:1 lo:1 lateral:1 solving:1 expectations:1 decreases:1 li:3 forms:1 estimating:1 window:1 production:11 fig:15 might:4 alter:1 arguments:1 versus:1 eventually:1 designs:3 good:2 affected:1 greater:8 was:43 surrounds:1 press:1 material:4 runs:7 primary:4 underneath:1 framework:1 walls:4 effects:2 they:4 half:3 producing:2 suffice:1 inelastic:2 discuss:1 wiley:1 easily:1 february:1 university:3 presented:1 backgrounds:12 identified:4 93e:1 magnitude:1 component:1 mode:1 each:5 found:2 higher:6 side:1 constraints:1 individually:1 reactions:17 tot:1 another:1 chung:1 engel:1 generation:2 house:1 energy:81 revised:1 reduce:9 gaussian:2 related:1 comprising:1 antiparticle:1 extended:2 ex:6 year:3 substantially:1 our:64 operation:1 transitions:3 event:12 special:2 out:2 leave:1 shown:5 dominates:3 acknowledgment:1 assignments:1 res:3 furthermore:3 since:9 rev:8 day:4 cancels:1 research:2 looking:1 extrapolate:1 traversed:1 dominated:3 ra:1 maximized:1 formula:8 induced:28 ref:23 correct:1 scalings:1 shows:10 clover:53 doppler:1 theory:2 assured:1 lawrence:1 veto:4 change:1 contain:1 increasing:1 thorium:8 isotope:7 standard:2 clarify:1 complicated:1 yuri:1 hep:1 estimate:21 measurement:6 wall:1 interaction:2 regarding:5 geometry:3 determining:2 could:5 transition:9 cosmic:8 days:1 times:1 turn:1 length:1 choices:1 place:2 massive:1 incorporated:1 assumed:2 hence:4 conducted:1 discussions:2 undergo:1 onto:2 assign:2 south:5 first:2 origin:2 copper:4 major:2 there:7 features:1 surviving:1 predictive:1 third:1 number:5 ziegler:3 channels:1 clear:2 done:7 long:2 directly:3 blank:1 ambe:58 thick:9 fluxes:5 angular:1 xia:2 given:5 limited:1 fair:1 geant:1 indicate:6 introduction:1 interact:1 sep:4 system:4 approximately:4 their:10 without:2 ton:3 too:6 eqn:6 rates:24 summarized:1 john:2 sensitivity:9 low:10 back:2 testing:1 activity:2 relationship:1 asymmetric:1 moscow:3 took:1 alan:1 transverse:1 environmental:3 part:5 somewhat:2 authors:2 probably:1 eliminated:3 than:15 dependent:1 relative:6 photograph:1 determines:1 target:3 roles:1 surrounding:3 double:36 require:1 measured:20 rate:58 limiting:1 states:5 determined:2 intensities:2 historical:1 were:29 toward:1 distinguished:2 acquisition:2 hz:21 liner:1 ev:1 sea:2 igor:1 reproduces:1 pro:1 hypothesize:1 spectrum:41 expect:3 raw:3 manuscript:1 substantial:1 depleted:1 seen:5 constrained:1 clearly:2 ray:58 instrumentation:1 livermore:2 strength:6 built:1 excess:1 concrete:4 pa:2 latter:4 complexity:1 mechanism:1 oak:1 note:6 fitting:1 potential:3 take:1 negligible:4 detector:66 strengths:5 text:4 channel:1 accuracy:1 even:3 play:1 added:2 multiple:1 scintillator:1 trace:1 though:1 quote:1 collaboration:1 simulated:22 reach:2 firestone:1 falls:1 depths:3 most:7 beta:30 involving:1 connected:2 plan:1 significant:9 quantitative:1 pair:1 intrinsic:1 sa:1 cs:1 isotopic:1 branching:1 mitigate:1 kg:28 especially:1 radiating:1 windows:1 average:19 broadened:1 detectors:18 reaction:1 free:1 aalseth:2 physics:6 responded:2 fact:1 incorporate:1 signatures:2 particularly:1 intensity:2 show:3 contaminant:1 detection:2 supported:2 crate:1 moderator:11 inconsistent:1 avignone:1 shirley:1 threshold:3 earth:2 find:1 incorrectly:1 help:3 impact:2 o:1 based:14 just:2 manufactured:2 explain:4 state:3 calibrated:2 jan:1 only:15 enriched:5 subsection:3 factor:9 various:2 pointed:1 hall:1 do:4 predict:6 triangle:1 gev:3 wide:2 approximate:1 dd:1 impinging:6 overall:1 likely:1 unimportant:1 cannot:1 preparing:1 basement:2 during:5 procedures:1 secondary:4 assigned:5 processes:16 contributes:1 gaitskell:1 continuum:26 arxiv:1 assuming:2 yield:1 summary:5 investigate:1 paper:4 predicted:9 gran:1 multiplicity:1 including:4 enhanced:1 ignored:1 traverse:1 set:6 exists:2 achieved:1 overwhelm:1 problem:1 national:6 subtracting:1 respect:2 lett:1 observed:20 pci:1 see:8 computer:1 merits:1 result:7 eliminating:1 tornow:1 operated:1 close:2 normalizing:1 ee:1 best:2 subject:2 situation:1 wire:5 extend:1 placed:5 purpose:1 nuclear:7 currently:1 diode:1 fission:3 tend:1 enough:1 future:11 identification:1 brookhaven:1 between:13 crude:1 progress:2 boundary:3 λl:2 numerous:1 shields:1 pictured:1 cosmicray:1 gives:1 comparable:1 ability:1 wa:1 nature:2 originated:1 weak:8 arises:4 wk:1 however:14 prediction:1 efficiency:6 incident:2 hypothesis:1 key:3 contamination:2 analyzed:2 kev:206 rene:1 configuration:6 come:2 ug:5 topology:2 isotopes:9 both:5 limits:3 mono:2 taking:3 uncertainty:22 deposition:2 against:1 emit:1 0b:1 energies:9 figures:1 planned:2 operating:1 contribution:18 mean:1 safely:1 experimental:12 nearby:1 reside:1 anti:1 relevant:1 co:3 cm:41 cl:12 bricks:1 character:1 ca:2 relaxation:1 corresponds:1 poly:2 coincidence:11 variety:1 written:1 simply:1 configured:1 path:1 wider:1 loaded:1 highenergy:1 throughout:1 d73:1 considers:1 cu:13 ct:1 better:3 packages:1 described:10 compton:2 geometries:4 agree:1 addition:3 discrimination:1 create:1 remained:1 three:2 been:8 mark:1 pb:127 reduction:1 permanent:2 klapdor:4 combined:1 interest:2 collected:2 muons:3 entered:1 originates:1 correction:1 a98:1 led:1 faced:1 life:2 contribute:3 controlled:1 igex:1 mci:1 sawtooth:1 influence:1 energydependent:1 excite:1 unidentified:6 observe:4 understand:3 external:1 systematic:1 quick:1 general:2 assigning:1 former:2 those:4 case:3 kleingrothaus:4 petr:1 atmospheric:3 resides:1 pacs:1 straight:1 originate:1 examine:1 value:10 remaining:1 will:17 near:27 backscatter:1 none:4 aid:1 rarer:2 eur:1 region:15 procedure:1 layer:4 changed:1 credence:1 vogel:1 almost:1 vi:2 thus:2 site:3 surface:17 iv:5 ii:5 itself:3 attributed:1 dangerously:1 ambient:1 claimed:4 ave:1 mod:1 seattle:1 increased:1 sequentially:1 binary:1 containing:1 verified:1 propagation:4 perhaps:2 neutrinoless:3 make:2 cross:11 same:2 any:2 prevented:1 emphasize:1 largest:3 underground:18 elliott:4 several:8 φl:1 events:44 neutron:108 dated:1 development:1 used:16 http:1 peaks:12 assignment:2 absorber:1 companion:1 effectively:1 running:1 levels:7 appreciable:2 attributes:2 along:1 passing:2 reference:6 recent:2 simulates:1 scaling:12 lower:6 argue:1 center:2 database:1 expression:1 no:6 well:5 except:1 analysis:14 non:1 segmented:2 materials:7 feshbach:3 comes:1 components:4 sets:9 claims:2 model:9 laboratories:2 arising:3 weakest:1 muon:6 positioned:1 traditionally:1 ysis:1 quoted:3 less:1 hypothesized:2 photo:1 accurate:1 obtain:1 naturally:1 germanium:6 sources:4 shape:4 inactive:1 distant:1 atomic:1 predicts:9 summed:1 dakota:4 φth:1 alternative:1 illinois:1 scattering:6 guides:1 previous:5 york:2 multiply:1 like:2 candidate:1 conclusions:1 irradiated:1 conclude:2 had:4 deposits:1 improvement:1 signals:1 source:31 add:1 location:1 cations:1 consideration:1 occurring:1 unprecedented:1 finder:1 build:1 resolved:2 tests:2 lake:1 around:3 depends:2 zeitnitz:1 read:2 showing:1 papers:2 results:14 possible:3 psd:1 period:1 department:3 increases:6 five:1 background:79 extrapolating:2 desirable:1 using:14 correlated:1 richard:3 scaled:1 effectiveness:2 necessary:1 success:1 particle:1 identifying:1 should:1 signal:7 shaped:1 brun:2 specific:2 flux:71 werner:1 either:2 continua:1 become:7 lngs:1 reasonably:1 lends:1 function:2 indications:3 because:10 techniques:1 exposed:2 some:5 ptype:1 dead:1 understood:1 deduce:3 escape:6 bore:1 sufficient:1 counts:7 ortec:1 corresponding:1 provided:1 scale:5 represent:1 tracked:1 lead:28 cavity:3 tube:2 measurements:18 comments:1 conservative:4 newark:1 virginia:1 efficiencies:1 masked:1 provides:3 tends:1 particles:3 annu:1 majorana:2 lowest:1 run:24 power:2 plot:2 seconds:1 convincing:1 journal:1 rock:4 bi:38 quantified:1 restrictive:1 reduces:1 although:6 rigorous:1 includes:2 properties:1 earlier:1 manufacturer:1 constrains:1 comparison:15 about:11 directed:1 central:2 weighted:1 meth:14 package:2 discussed:2 factors:1 recognized:1 simulation:46 range:2 avenue:1 greatly:1 inconsistency:1 efforts:4 discusses:2 gamma:1 software:2 final:3 presence:3 previously:3 instruments:1 into:6 within:7 washington:1 usa:3 due:23 rademakers:1 lies:1 appropriate:1 en:2 references:1 determine:5 steven:1 contributor:1 actually:1 reducing:3 camac:2 75m:1 utility:2 uncertainties:6 rely:1 fast:5 abt:1 additional:5 comparing:1 confidence:1 transfer:1 altitude:2 placing:1 question:2 live:9 specifically:2 measuring:1 los:5 much:11 inner:3 fraction:6 hadronic:4 astrophysics:1 sections:7 opposed:1 files:1 searches:1 form:2 hr:13 bus:1 registered:1 irradiating:1 polyethylene:5 but:6 histogram:2 volume:2 expected:1 φn:3 recoil:3 larger:5 overburden:2 radioactive:2 line:52 removed:3 observation:1 count:13 absent:3 made:3 absence:1 consist:1 dangerous:5 inside:3 up:3 us:1 po:1 crystal:3 below:5 decays:2 limit:5 emissions:2 sum:8 demonstrate:1 distribution:2 ensdf:1 similar:9 calculated:3 obtains:1 originating:8 block:1 ac:50 associated:7 contributors:2 heidelberg:3 defined:1 implications:3 measure:4 am:8 generating:1 deep:4 evidence:2 ch:1 single:6 associates:2 mostly:1 predictions:1 simulations:14 crystals:4 ing:1 distributions:1 approximated:1 constructed:2 discrepancy:1 krivosheina:1 compared:6 nl:2 nm:1 calibration:2 whereas:2 nai:9 when:11 detail:3 adequately:1 other:7 role:1 details:1 ambitious:1 digital:1 test:1 acceptable:1 conclusion:3 snolab:1 a17:1 estimation:1 energetic:2 excitation:8 a12:1 describe:3 precision:5 generated:3 important:7 nucleus:5 peak:48 serious:1 included:4 poon:1 sides:2 exposure:1 building:3 expensive:1 radioactivity:6 individual:4 auxiliary:1 assume:1 blend:2 required:2 modules:1 lasted:1 together:1 depth:17 mass:4 lying:1 time:9 determination:1 nuclei:2 validation:1 inc:2 avoid:1 representative:1 |
0704.0307.txt |@word limited:1 monte:2 four:4 heliocentric:1 increase:2 calculate:1 marcos:2 quadruple:1 presents:1 under:2 every:1 solution:2 correct:1 consistent:7 estimates:2 direct:1 surrounding:1 likely:2 chen:2 estimated:1 blue:3 established:1 supplied:1 kun:1 above:5 new:14 increasing:1 shocks:1 evolving:1 dahn:1 prato:11 never:1 here:16 hundreds:1 reported:5 osterloh:2 active:1 chini:1 interpret:1 obtained:1 michal:1 rests:1 study:2 complicated:2 adopting:2 changes:7 campaign:2 highly:1 visible:2 modulated:5 total:5 univ:1 plot:1 periastron:11 would:9 noting:1 m1:11 m0:1 m2:9 type:2 separated:2 successful:1 excellent:1 aligned:2 circumstances:1 palomar:1 mm:5 setup:2 work:4 eclipse:3 ms:1 widths:3 example:1 sinusoidal:5 give:2 involve:1 indicates:1 orion:1 caution:2 magnitudes:6 times:1 absolute:1 preferably:1 end:1 hoc:2 revisit:2 how:6 grankin:1 symposium:2 forveille:3 earlier:3 millimeter:5 types:1 alias:3 complexity:1 winn:15 correlation:2 reiners:2 wing:1 interpretation:1 over:11 vary:2 thesis:1 mayor:3 fit:14 exhibits:1 better:4 tilts:1 fig:9 persist:1 them:4 band:19 effects:1 they:8 brightness:6 reasonable:1 each:7 mean:3 telescope:3 1996a:6 1996b:2 literature:1 combining:4 substantially:1 henden:1 re:3 surprise:1 newly:1 forth:1 ri:5 outburst:1 foundation:1 numerical:1 linear:2 surveys:1 standard:3 formation:5 beckwith:4 estimate:2 days:24 filter:1 signature:3 onto:8 already:2 primary:8 another:1 thick:1 strasbourg:1 similarly:2 top:3 accretion:60 observations:15 leggett:1 serve:1 barbieri:1 repeatable:1 somewhat:4 distance:2 showed:5 database:1 photospheric:1 matter:1 williams:1 historical:1 solely:1 spectrum:5 seen:10 unaffected:1 relatively:10 latter:1 fitting:1 causing:1 infalling:1 circles:3 even:1 exactly:1 though:7 extending:1 regular:1 phase:28 alarm:2 flow:7 inferred:2 points:5 left:2 decidedly:1 saying:1 random:11 infrared:4 colors:2 explain:2 folded:6 rich:1 do:10 valenti:1 tracers:1 guthrie:2 bertout:1 yielded:1 despite:1 meusinger:1 dq:15 tritton:1 reference:1 detection:1 depends:2 radius:3 result:5 discussions:1 best:8 techniques:1 said:1 approach:1 discovery:1 component:7 handful:2 weak:3 however:17 harvard:1 extent:3 contamination:1 modeling:1 suggested:3 beck:1 uncertainty:8 against:4 circumbinary:23 variance:1 argue:1 prospect:1 presumably:5 timescale:2 excess:3 thierry:1 wider:3 broadening:1 mathieu:29 kley:3 basis:1 three:7 been:12 quickly:2 hamilton:8 much:6 logarithmic:1 interest:1 richichi:1 expected:10 quantities:1 lomb:3 uncommon:1 pringle:1 brightening:4 reddening:1 near:12 conf:1 smoothest:1 suggest:5 make:1 plates:1 several:6 evolve:1 peaks:4 permutation:1 hartigan:2 supposing:1 cycle:2 programs:1 maxima:1 seasonal:1 mclean:1 quoted:1 middletown:1 ctio:1 campbell:1 yes:6 previous:4 adding:1 monitored:1 similarities:1 bailer:3 baselines:1 gave:1 bands:2 possible:5 possibly:2 boxes:1 indicative:1 birth:1 occurring:2 desire:1 appearing:1 specific:3 detections:2 sparse:3 arbitrary:1 signal:2 right:3 predominance:1 statistic:1 mazeh:3 bottom:2 companions:3 scholz:1 comments:2 contributing:1 arguing:1 beating:1 participation:1 minimization:1 shifting:2 post:1 properties:3 meyer:1 planarity:4 o:2 distinct:1 slightly:1 bate:3 presence:6 marshall:1 alencar:8 stellingwerf:2 refined:1 reducing:1 support:3 approximate:1 width:10 way:3 astrophysics:1 was:13 underestimated:2 form:3 offer:1 forming:2 differences:1 taken:3 crosscorrelating:1 true:1 surfacebrightness:1 strongest:1 swarthmore:3 beuzit:1 shih:1 adopt:1 hotter:1 stronger:1 abstract:1 evidence:16 simulations:5 distributions:2 triangles:1 weakened:1 no:7 when:11 ny:1 pasadena:1 depoy:1 papers:2 test:2 optically:3 picture:1 models:4 taurus:2 interferometric:1 15d:4 variable:4 jones:3 assume:1 interval:1 pseudo:2 together:1 time:12 ejar:1 prot:3 collings:1 particular:2 rox:1 grateful:2 pogge:1 depend:1 basri:9 quast:4 environment:2 quasi:1 ın:10 division:1 keck:1 stassun:5 schwarzenberg:3 herbst:21 exact:3 trended:1 presented:3 did:9 mo:1 tenths:1 upper:1 garnavich:1 pms:5 trend:2 prediction:1 krull:2 andicam:1 spectral:8 appear:3 assistance:1 axes:2 43b:3 reminiscent:1 melo:1 falling:1 vanderbilt:1 understanding:6 twentieth:1 alone:1 appears:3 benson:1 institute:1 shift:3 commonly:1 simultaneous:2 udry:2 suggestion:2 myers:2 astronomische:1 plotted:3 useful:2 ctts:1 angelo:3 intensively:1 positive:1 predictions:9 france:1 attridge:2 theoretical:4 validity:1 cases:2 logarithm:1 rotational:6 ferro:1 l121:1 values:4 following:1 making:2 dedicated:3 figure:9 predict:2 attribute:1 sample:1 refine:1 spanning:3 occur:4 monitoring:7 discussion:2 means:2 idl:1 vital:1 marschall:1 parameter:1 may:13 spot:2 riffeser:1 mag:4 date:4 data:66 dynamical:1 johnson:7 ss:1 maybe:1 yielding:1 so:3 fortuitously:1 worsens:1 typical:1 wavelengths:3 indeed:9 dullemond:1 years:5 course:1 still:2 tendency:2 observational:4 thank:1 acknowledge:1 encompasses:1 vicinity:1 decreased:1 main:10 non:4 matches:1 scaling:2 hale:3 half:2 now:2 hall:1 nor:2 term:6 january:1 synchronize:1 photometry:11 significantly:1 gaps:3 year:5 wavelength:1 happen:1 shown:9 space:1 furthermore:1 looking:2 suggesting:4 appenzeller:3 squares:1 viable:1 shows:21 complicates:1 theory:2 possibility:2 quite:5 california:2 ori:6 flare:1 massive:2 first:10 origin:1 papaloizou:5 long:6 directly:2 impossible:1 open:4 angular:2 size:2 given:11 iau:3 white:2 delfosse:2 speaking:2 gives:2 exploring:1 season:3 hut:3 than:26 intrinsically:1 wide:2 starspots:1 unfortunately:1 require:1 future:1 were:9 stanek:1 pre:9 lick:1 eggenberger:2 any:12 consortium:1 note:9 coplanar:1 potential:1 massa:1 take:1 observationally:2 bailey:2 primaries:1 begin:1 multiple:3 track:1 falls:1 skinner:2 pair:1 cleared:6 tsvetkov:1 latex:1 especially:2 dutrey:3 considered:1 later:1 order:8 julian:2 typically:2 quantity:1 slope:1 madison:1 spaced:1 show:27 german:1 synchronous:1 friction:1 discovered:2 bright:4 inconsistent:2 unther:3 ratio:10 occultation:3 written:1 analytic:1 only:11 munn:1 diamonds:1 cannot:1 nearly:2 baraffe:1 secondary:10 rotationally:3 predicted:6 fainter:2 equators:2 ables:1 maximum:3 relative:2 college:3 surfaces:2 detect:2 subsequent:1 review:2 sites:2 outside:1 between:18 2002a:2 2002b:2 across:5 schuster:1 rebull:2 gratefully:1 analyzed:1 come:3 pixels:1 many:3 region:6 according:1 83b:1 sparseness:1 tout:1 comes:1 duty:1 among:4 color:6 period:65 sampling:1 jd:1 considering:1 unusual:1 collides:1 mart:10 combined:3 kuchner:1 anomalously:1 6m:1 external:1 former:1 those:16 case:6 stauffer:3 ongoing:2 rhodes:2 determination:1 characteristics:1 bohlin:6 zucker:1 cluster:1 technology:1 levison:1 binary:93 different:9 verified:1 same:11 companion:7 harris:1 changing:1 scargle:5 largely:1 minimize:1 roughly:6 without:2 components:2 ccd:1 model:16 binaries:24 monet:3 minima:1 semimajor:1 sampled:1 balonek:1 mcdonald:1 except:1 stempels:5 extensive:1 manset:4 around:11 read:1 early:1 mon:1 using:13 ruled:2 vertically:1 adams:3 particle:1 velocities:8 agreement:4 either:7 resolved:1 reduced:6 teff:2 vrba:6 images:4 measuring:1 power:5 equivalent:10 ratios:1 standpoint:1 comparison:12 stone:1 central:4 choi:2 luginbuhl:1 discussed:4 greatly:1 mixed:1 stony:2 perturbed:1 communication:1 references:4 determine:5 sparser:1 assumed:1 strictly:1 there:20 canzian:1 dispersion:2 detectable:1 low:5 stars:30 assumes:1 roxs:7 mnras:6 pull:1 datasets:3 applying:1 embedded:1 usten:1 lightcurves:1 monin:2 detailed:3 ad:2 exhausted:1 ak:16 aj:28 am:1 deep:4 general:4 ap:1 examine:5 au:8 mundt:5 planets:7 formulation:3 corresponding:3 field:2 spatial:1 mathematics:1 deviation:1 separate:2 includes:2 a2:1 peak:8 suited:1 a9:1 l61:1 odds:1 curve:8 mass:27 nelson:1 resolution:1 holman:1 sco:16 surrounded:2 caused:3 lack:3 generalize:1 disk:53 spirit:1 tn:1 program:1 stochastic:1 jensen:19 very:5 fap:2 ostriker:2 induce:1 accompanying:1 applicable:2 large:5 31p:1 small:4 webster:1 auriga:2 periodicity:5 sinusoid:1 translating:1 rate:10 l201:1 pasp:2 further:1 attributable:1 what:4 section:5 tosti:1 method:2 contrast:2 bonnell:1 full:1 modify:1 berkeley:1 iras:1 strong:5 observing:2 search:3 bouvier:3 larwood:2 allows:3 periodic:55 published:1 wesleyan:2 tokovinin:1 extinction:3 periodograms:2 readily:1 silva:1 levine:1 probabilities:1 faint:1 finally:2 comparing:2 aperture:1 more:18 hoffman:1 emission:9 varying:2 known:2 kenyon:2 science:1 abrah:1 compare:2 f5:2 synchronized:3 brown:3 minimum:2 arise:1 axis:3 broadly:2 ciprini:1 rather:5 csizmadia:1 clarke:4 explains:1 fw:1 derived:1 orbits:2 reflect:1 catalog:1 pat:1 huerta:5 short:6 spectra:18 orientations:2 help:3 swamped:1 merit:1 paper:2 through:2 filters:1 its:7 brightened:1 l77:1 l75:1 late:1 detected:3 systems:30 might:9 alter:1 good:2 motivated:1 yr:1 easily:2 hereafter:1 always:1 level:2 perkin:1 radial:19 found:8 sb1:2 tilted:3 energy:1 expect:3 measurement:3 bluer:2 hartley:1 since:12 projected:2 research:2 dominated:2 issue:1 occurs:3 asp:1 wisconsin:1 ast:1 v4046:7 members:1 matthews:2 american:2 v5:1 grossman:1 major:2 probability:2 relate:1 number:6 done:2 azimov:1 differ:1 perturbation:1 fuller:2 introduction:1 interact:1 least:2 sargent:2 calculations:1 smoothed:2 too:2 shifted:2 l99:1 optical:2 peaked:4 kind:1 observatory:3 kindly:1 double:1 intermittent:1 determined:5 intensities:1 aas:1 toward:1 substantial:2 headings:1 confirms:2 orders:1 dobrzycka:1 sell:1 lie:1 nights:2 zero:2 lin:2 k2:1 empirically:1 k7:1 k5:2 k4:1 echelle:3 added:3 lubow:13 quote:1 sets:1 most:8 significant:10 undertaken:1 seasons:3 measured:8 clear:6 kh:4 km:8 exp:1 velocity:19 physics:5 bulletin:4 sasselov:1 particularly:2 phenomenon:1 cds:1 find:11 current:2 giant:1 parameters:15 merges:1 colloq:1 being:3 factor:4 his:1 dominant:1 synchronization:3 closely:1 during:9 exhibiting:1 continuum:1 arxiv:1 common:2 set:2 ser:1 undergoes:1 unpublished:1 plausible:2 see:8 individual:3 close:5 currently:1 rejecting:1 smallest:1 orbiting:1 probably:1 available:2 statistically:2 complementary:1 initially:1 sole:1 spectroscopic:25 kovacs:2 folding:1 pdm:3 improves:1 context:1 baliunas:2 whole:1 finds:1 point:2 reasons:1 decline:1 described:4 enhancements:1 due:7 pc:1 reduction:2 pa:1 ph:1 walter:8 resting:1 referee:1 gas:1 gap:6 understand:2 systematic:2 perrier:1 uncertain:3 while:15 behavior:10 eclipses:6 artymowicz:8 aa:1 century:1 itself:2 triple:1 increased:1 grant:1 shorter:4 survey:1 higher:5 calculation:1 used:7 inhomogeneities:1 recent:2 dark:2 lower:7 older:1 studies:6 analysis:9 obviously:1 consistency:1 self:1 observed:9 shape:3 alignment:2 conclusions:2 k1:1 signals:4 source:1 remaining:1 sgr:7 showing:4 matters:1 wings:1 rotate:1 semi:2 follows:1 interestingly:1 disks:35 manifest:1 flux:2 yields:4 howell:2 some:17 hartmann:5 trends:2 b1:2 infall:1 gradually:1 scale:5 resonances:1 measurements:9 simbad:1 inclination:9 measures:1 performed:2 weis:3 use:3 bv:5 tidal:3 batalha:1 constraint:1 impermeable:1 simulation:2 range:1 into:1 johns:2 uncertainties:2 span:1 jameson:1 ew:3 placing:1 question:2 specifically:1 custom:1 considerably:2 byrne:2 larry:1 link:1 line:16 magazz:1 considerable:2 raising:1 uz:79 up:2 us:4 planet:4 spectroscopy:2 planes:2 heterogeneous:1 similar:13 calculated:2 associated:1 reconcile:1 defined:1 single:7 ntts:2 scrutinized:1 dashed:1 department:5 interpretable:1 elements:1 smoothly:1 prepared:1 william:1 allowing:1 structure:4 independently:1 correlated:1 age:2 holes:1 accumulations:1 depth:1 nasa:1 walker:1 evenly:1 gw:6 code:3 partial:1 planetary:5 results:4 existing:3 steve:1 broader:1 edu:1 simon:13 shevchenko:3 young:8 protostars:3 intensive:1 stable:2 dramatically:1 indicating:4 g0:2 crosses:1 resonant:1 continued:1 entire:3 shock:1 michael:1 noted:3 smaller:4 sin3:2 enclosed:1 dynamics:2 carlo:2 3m:1 flowing:2 bird:1 lee:3 respectively:1 focused:1 separation:2 others:1 l29:1 extreme:1 weinstein:1 larger:5 leaving:1 suggests:2 resulting:4 definitively:1 examining:1 scales:1 photometric:38 private:1 apj:26 apply:1 confidence:3 remains:1 next:3 tauri:7 few:3 examination:2 themselves:1 panel:1 sort:1 koerner:2 sharply:2 eccentricity:12 iii:1 inclinations:1 obvious:3 thin:2 scatter:6 usno:2 protoplanetary:2 tau:98 process:2 high:2 sought:1 benk:1 andersen:1 precessing:1 six:2 lamm:1 regions:2 varies:3 instead:1 guilloteau:2 circular:5 flanking:1 de:2 uncontaminated:1 fits:1 da:1 ambiguous:1 light:14 lines:6 correspond:1 allow:1 subsequently:1 lined:3 martini:1 horne:2 pulsed:12 astronomical:4 including:1 accrete:1 fwhm:1 complicate:2 outer:4 decay:1 masses:5 brook:2 circumstellar:20 ogilvie:4 pixel:1 v819:4 greater:1 material:14 mention:1 rotation:16 day:5 university:6 identified:4 sin:12 sufficiently:1 magnitude:10 latham:1 reproducing:1 related:6 society:2 filippenko:1 measure:3 our:24 special:1 out:4 respects:1 fundamentally:1 periodicities:1 maffei:3 terquem:3 cause:1 red:3 torres:1 interactions:9 approaches:1 york:1 determining:2 could:6 david:1 removing:1 powerful:1 reaches:1 improvements:1 vaz:1 system:28 adopted:2 their:7 intermediate:1 inner:1 explanation:1 acquire:1 sporadically:1 july:1 brucato:1 epochs:2 amplitude:4 providing:1 exhibit:1 false:2 separations:1 cohen:1 curves:9 unlikely:5 need:2 apparently:4 clearly:4 mid:1 subject:1 dimming:1 who:1 eight:1 intrinsic:1 guetter:1 frederick:1 fact:1 supported:1 rotating:1 based:2 knowledge:1 nachrichten:1 brighter:3 replenishing:1 gradual:1 partially:1 local:1 equilibrium:1 1995a:2 1995b:2 beat:1 overall:4 timing:4 argues:1 evolution:2 shu:1 luminosity:3 differential:2 reid:1 hydrodynamic:1 excesses:1 cycles:1 view:1 exists:1 orbit:29 hβ:1 smooth:1 national:1 hα:24 edition:1 gahm:5 enhanced:2 operated:1 luminous:2 creating:1 closer:1 phases:2 attempting:2 pattern:1 nebula:1 tend:2 macros:1 state:2 phased:3 closed:1 masking:1 neither:5 variability:36 comparable:3 nashville:1 mags:2 joy:2 observable:1 la:1 periodogram:6 strongly:5 unclear:1 co:6 conclude:2 ca:2 clues:1 environments:1 table:14 li:1 ct:1 second:4 addition:7 timespan:1 myr:2 diversity:1 both:16 vhelio:3 improved:1 present:8 unlike:1 align:1 value:2 will:3 neugebauer:2 thus:15 surface:2 vs:2 ave:1 orbital:65 perhaps:2 member:1 matthew:1 parts:1 largest:1 difficult:4 eccentric:4 effect:2 phd:1 bastien:3 off:1 bootstrapping:1 modeled:2 well:21 thought:1 mccabe:1 english:1 position:1 arising:1 less:5 accurate:2 sources:2 underlying:1 preprint:1 density:1 ghez:4 absorption:3 sky:1 meisenheimer:1 extends:1 match:7 identical:1 definitive:1 nearinfrared:1 know:1 pier:1 necessary:2 like:7 sizes:1 menard:1 leinert:1 martin:1 become:1 preclude:1 therein:1 indications:1 because:2 sequence:8 herbig:2 searching:2 growth:1 peter:1 lead:1 merge:1 broad:3 overlap:1 does:9 assuming:4 haisch:1 noise:1 journal:2 reza:1 stellar:18 mito:1 although:1 offset:1 analyses:1 periodically:2 after:1 noisy:1 about:2 actual:1 extension:1 dependence:2 important:4 software:1 own:1 smarts:4 coverage:3 previously:1 assess:2 van:3 additional:6 czerny:3 overestimate:1 mandel:2 function:6 but:21 astro:1 he:2 made:4 evident:1 whether:5 variations:48 placed:1 below:1 limit:3 problem:1 informational:1 irish:1 vleck:1 jenny:1 veiling:4 accretes:1 contribute:1 denote:1 balmer:4 periods:10 reflecting:1 eric:1 redder:2 compared:1 nonetheless:1 percent:1 detail:1 other:21 details:1 duvert:1 sparsely:1 star:19 variation:3 astronomy:6 searches:2 searched:2 richardson:1 4c:1 |
0704.0308.txt |@word neighbors:2 represent:2 sci:2 consider:1 chinese:1 camacho:1 rev:25 truncated:1 results:16 existing:2 leads:2 gang:1 edu:1 mason:1 causes:1 increase:6 21st:1 calculate:3 removal:4 presents:1 kβ:1 finally:4 critical:1 th:4 under:1 nodes:37 include:1 ki2:1 conjecture:3 very:8 tends:1 connects:1 print:1 mixing:3 experimentally:1 exact:1 newly:4 condition:1 inset:5 randomness:2 europhys:1 obvious:2 level:1 turns:1 crossovers:1 solution:3 disease:1 large:14 small:15 biological:1 shows:2 deleting:36 noted:1 slower:1 occurrence:1 findings:1 modified:1 approximation:6 rate:4 cost:1 chen:1 further:2 depression:2 even:1 will:12 what:2 power:20 section:9 selected:2 brief:1 find:3 version:1 above:6 new:9 increasing:10 ever:1 acknowledgments:1 coefficient:16 evolving:6 simultaneously:2 chose:1 degree:54 respectively:1 realizations:8 component:17 roychowdhury:1 here:9 understanding:2 reported:2 china:3 web:2 groups:1 address:1 path:1 along:1 brunet:1 yan:2 logarithmic:3 extreme:3 obtained:8 great:2 receive:1 study:2 losses:1 hughes:1 zhu:1 vespignani:2 social:1 usually:2 studies:3 plotted:2 showing:1 adjustable:1 useful:1 figure:1 scales:3 apr:1 vii:2 prefer:1 highly:3 decrease:6 extinction:1 plot:6 proceed:1 positive:1 kα:3 hong:1 predict:1 noting:2 therefore:6 characteristics:1 taken:1 samukhin:2 type:6 theoretical:1 more:10 kahng:1 definition:1 share:1 stable:1 appendix:2 observations:1 broke:2 particular:3 known:2 cases:1 iii:2 kumar:1 account:2 sneppen:2 cluster:3 science:5 equation:7 work:2 ik:13 reproduce:1 huge:1 zhao:1 vs:1 values:3 three:3 9th:1 following:5 drops:1 example:5 nearest:4 isp:1 wang:4 links:1 give:7 process:6 organized:2 indicates:3 zhuang:1 tao:2 species:1 weaken:3 azquez:3 aging:1 needs:1 end:1 varied:1 decaying:1 verify:4 divided:1 means:3 maps:1 nontrivial:5 attachment:3 pure:5 parameter:1 divides:1 classify:1 map:1 ubiquitous:1 description:2 mendes:6 information:2 may:5 after:1 fortunato:1 containing:1 develop:1 law:18 revealed:2 grow:1 types:2 hoc:1 realized:1 short:2 natural:5 preferential:5 bing:1 assortativity:8 explicit:2 egu:1 so:8 expression:1 fundamental:1 correlation:18 order:1 nearly:1 restriction:2 evolutionary:1 ith:2 indeed:1 satisfied:2 wiener:1 paper:3 london:4 left:1 mentioned:1 still:3 ieee:2 smallworld:1 before:1 perfect:2 tending:1 rapidly:3 surviving:2 fit:4 how:1 chosen:2 interesting:2 lai:1 decreases:13 li:1 better:2 permanent:2 compensatory:1 systems:7 total:1 happened:2 huang:1 non:1 good:2 adjacent:1 than:1 entire:1 food:1 propose:2 ye:1 processes:3 introduce:3 scaling:3 framework:2 effects:3 they:5 now:9 discuss:1 structural:2 develops:2 growing:18 term:2 gets:3 always:3 university:1 classified:1 leading:1 grows:1 realistic:2 2ei:1 each:11 found:9 difficult:1 side:1 characterized:1 mean:5 established:1 el:2 ei:1 significantly:2 evolve:1 stronger:1 society:1 used:3 static:1 connect:3 amsterdam:1 our:15 approximated:1 eq:23 event:1 out:3 emerges:1 shown:1 networked:3 network:109 factors:2 furthermore:1 since:5 induces:1 disassortative:6 denotes:1 stub:1 investigation:1 internet:6 denoted:1 formula:1 ajb:1 xu:1 ref:6 independence:1 predicted:2 ass:2 foundation:2 earlier:1 theory:2 lawrence:1 mechanisms:4 free:9 transitory:1 approaches:1 formation:1 besides:2 asi:7 barab:7 generate:1 shortest:1 mimic:1 watts:2 dunne:1 emy:2 raghavan:1 transition:3 landman:1 exponentially:1 mortal:1 consequence:1 undergo:1 first:2 origin:4 there:10 probability:14 number:9 clear:1 simplified:1 approximately:1 another:4 comprises:3 electronic:1 size:22 given:3 xie:1 service:1 indicate:6 introduction:6 together:2 eqs:3 system:1 adopted:1 1a:1 their:4 attack:1 tell:2 siam:1 structures:2 revisited:1 williams:1 gives:8 relationship:1 klemm:1 explanation:4 continuous:5 albert:6 oltvai:1 part:1 somewhat:1 authors:3 focusing:1 institution:1 positively:5 wide:1 roles:1 double:1 assortative:1 intensity:3 limiting:1 guimer:1 determined:1 were:1 negatively:5 naturally:1 treated:1 behaviors:1 m2:1 fig:43 xin:1 sees:6 ran:1 topics:1 curves:5 crossover:1 randomly:6 mossa:1 manner:2 increment:1 stanley:2 need:1 elsevier:1 seem:1 any:6 relatively:2 affairs:1 min:1 latter:1 isolated:3 mechanism:5 note:1 liu:1 concerns:1 generalized:5 destroy:4 circles:1 play:1 added:9 multiple:2 investigations:2 park:2 decreasing:1 reach:1 evaluation:1 pastor:2 logarithmically:1 jsu:1 connected:7 meaning:1 multiply:2 measured:1 pages:4 appear:2 cause:2 observation:1 ke:2 doc:1 average:8 adopt:2 steady:2 vertices:1 physica:1 proceedings:2 error:1 menczer:1 consisted:1 deng:1 sum:2 fact:4 quantity:1 precise:1 emerging:1 phenomenon:1 show:6 supported:1 topologies:1 discovered:1 relation:3 substituting:1 tend:3 networks:39 giant:11 based:7 knowledge:2 parameters:1 explain:2 written:2 topological:1 should:2 analytic:1 only:7 factor:1 equally:1 gains:1 get:10 dependent:1 connections:4 quantified:1 dc:1 joint:1 ones:4 negative:4 joins:1 despite:1 during:3 societies:1 evolution:12 ıluz:1 tolerance:1 arxiv:1 summary:2 investigate:7 experiments:1 common:1 contain:1 fixed:1 explanations:1 valid:3 deletions:1 set:4 exists:1 undergoes:2 national:1 correlations:3 up:4 observed:5 opposite:1 depends:1 individual:1 result:10 discussions:1 transportation:1 rajagopalan:1 uncorrelated:2 jeong:3 lee:1 fails:1 said:2 computer:3 exponent:3 review:1 nature:5 its:3 state:5 various:2 stata:1 between:18 approach:3 preserve:1 ends:1 recently:2 relative:3 intending:1 importance:1 however:2 2pa:18 ws:1 ji:5 extent:1 je:1 suppressed:1 distribution:17 thank:1 suggested:1 both:3 giles:1 many:5 taking:1 annual:1 according:8 zewski:1 called:2 somewhere:1 connection:1 dorogovtsev:6 regimes:1 whole:1 among:1 disassortativity:1 filtering:1 cn:1 characterization:1 simple:2 period:1 exhibits:2 shutdown:1 slater:1 proved:1 actually:1 considering:2 forms:3 second:1 addition:3 due:5 been:13 much:1 slowly:1 interpret:1 pd:2 expected:2 degrees:3 ph:1 universal:2 choose:1 corresponding:2 spit:1 am:5 natl:2 6m:1 gap:1 xiong:1 present:3 case:10 dash:1 multi:1 disconnected:1 exponential:12 solid:1 value:7 spontaneously:3 aim:1 while:3 viii:2 behavior:3 promising:1 hubs:3 di:1 property:2 region:1 weakens:1 studied:3 hunan:2 vi:2 adamic:1 thus:5 them:2 iv:2 ii:3 characterize:3 reads:1 excessively:3 cond:1 flammini:1 heterogeneously:1 grown:1 different:15 verified:2 grant:2 make:2 cumulative:2 same:9 tells:1 complex:8 connectedness:7 deletion:14 largest:3 several:1 events:1 higher:3 independent:9 calculation:1 investigated:2 see:10 lie:1 numerical:4 effect:22 hand:3 moment:1 edges:10 kim:1 supposing:2 infinite:1 frequently:1 newman:6 weakened:1 older:1 makes:4 tomkins:1 variety:1 well:4 roughly:1 analysis:6 0x10:10 edge:5 solve:1 components:6 firstly:3 model:52 possesses:1 justify:2 maslov:3 proposed:5 less:3 being:2 generally:2 obtain:2 barth:2 using:2 facts:1 forrest:1 captured:1 previous:1 adv:1 adding:7 rapid:1 han:1 point:2 seems:2 wen:1 potential:1 transformed:2 lett:9 easy:2 technological:1 sokolov:1 remaining:1 take:1 real:19 explained:2 aspects:1 increased:1 easily:2 huberman:1 regard:1 possible:2 increases:9 five:1 world:13 emergence:1 mod:1 generated:1 tail:1 necessary:2 helpful:1 follows:1 reduces:2 translates:2 communications:2 yields:1 either:2 become:1 works:2 qualitative:4 therein:1 deviation:4 www:4 because:2 old:3 often:1 people:1 some:6 back:2 competition:1 webs:1 growth:16 moreover:1 strogatz:2 manifest:1 happens:2 provided:1 gradually:1 scale:13 describing:1 lead:1 merge:2 broad:2 normal:1 ubiquity:1 does:6 connecting:2 eliminate:3 provides:2 provider:1 amaral:3 proc:2 demonstrated:2 inserting:3 conference:2 ba:15 business:1 slight:4 deleted:5 bo:2 agreement:4 expansion:1 step:9 powerlaw:1 although:2 accompanied:3 losing:1 plots:1 properties:3 stage:3 comparison:1 about:2 origins:1 most:7 ecological:1 simulation:11 practical:1 range:2 neighbor:2 mixed:1 shared:1 ci:3 introduced:8 soc:1 burning:1 previously:1 into:18 functional:1 predictions:1 martinez:1 pair:1 acad:2 accounts:1 speciation:1 proportional:2 additions:1 resilience:1 clustering:7 province:1 comparing:1 robustness:2 initial:1 long:4 pa:122 low:2 way:4 suit:1 was:2 m0:8 function:16 interest:2 form:6 criteria:1 immigration:1 but:8 hu:2 link:2 gain:1 zaliznyak:1 larger:3 line:2 removed:2 true:1 truncation:2 made:2 compute:1 characteristic:1 mat:1 attached:2 maximum:1 us:5 until:2 below:1 limit:2 heterogeneous:1 demonstrate:1 autonomous:1 stages:1 similar:3 ki:8 distance:5 detailed:2 constant:1 ad:1 percolation:1 ln:1 defined:5 likewise:1 ak:9 describe:1 influence:1 general:2 single:2 governed:2 simulations:4 diversity:2 distributions:2 regime:7 effected:1 again:1 broder:1 nk:3 nn:2 no:7 whereas:1 when:21 vanishes:1 invalid:1 reality:3 field:3 other:4 republic:1 details:1 becomes:3 department:1 deviate:2 conclusion:1 node:71 nonzero:1 elements:2 kinds:1 zhou:2 separate:4 models:3 finite:1 vertex:2 chance:1 important:2 sides:1 structure:17 goh:1 correlated:7 longer:1 algorithm:1 physics:4 scala:1 curve:8 rule:9 uncovered:1 portion:3 4m:1 lying:1 time:20 laws:1 requires:1 biases:1 once:2 |
0704.0309.txt |@word secondly:2 code:10 consider:1 results:2 existing:2 eds:1 proposition:6 edu:2 follow:1 gk:1 gi:6 row:5 calculate:1 tx:1 graph:45 deterministic:1 ık:2 undirected:5 g3:2 g2:3 g1:3 very:1 corollary:7 isomorphism:10 every:3 entries:5 cook:2 papadimitriou:1 matrices:1 condition:1 solves:1 hamiltonian:27 solution:2 solved:1 neighborhood:1 second:2 traveling:1 theory:1 even:2 sub:5 section:4 3n:2 above:2 new:2 journal:1 satisfy:1 degree:22 deduces:3 respectively:11 component:8 equals:1 jørgen:1 china:1 groups:1 strong:7 equations:1 deduced:1 contradiction:2 implementation:1 permutation:1 proof:11 york:1 named:4 useful:1 planar:2 boolean:1 total:1 conventional:1 projector:19 would:1 prove:2 m4:1 call:1 moro:1 m3:1 m2:2 more:3 initial:1 constructs:1 known:1 cases:6 worst:1 include:1 science:1 equation:6 labeled:1 obvious:7 concepts:1 following:9 example:4 nected:1 figure:9 give:3 suggestions:1 ist:1 conversely:1 jensen:1 information:1 recursive:1 divided:4 forest:3 answer:2 arcs:9 after:1 derived:1 mapping:7 collection:1 lenstra:1 e20:2 e21:1 e22:2 indegree:2 complexity:12 algorithms:1 representation:1 order:1 paper:6 including:1 existence:1 satisfies:1 still:1 its:1 perfect:33 thank:3 bipartition:2 stephen:1 main:1 yi:3 non:9 isomorphic:3 bang:1 now:2 hall:1 represents:15 university:1 iff:1 each:20 2n:3 2k:1 el:1 ei:16 matchings:1 ek:1 ej:2 connect:1 loops:1 eq:1 out:4 hcp:9 matrix:26 open:1 since:13 denotes:3 increase:1 combinatorial:1 hill:1 denoted:3 math:1 shows:1 wiley:1 linear:1 standard:1 base:1 e9:2 e8:2 e5:2 e4:1 e7:1 e6:2 e1:2 e3:2 e2:1 definition:4 language:1 determining:3 could:2 lawler:1 turn:1 length:8 first:1 xj:6 xk:4 xi:4 bijection:1 coding:1 number:16 rank:4 another:5 enumerate:1 electronic:1 xt:1 illustrate:1 given:13 introduction:1 least:5 siam:1 discussion:1 exactly:5 than:1 tree:1 imply:1 project:2 computer:1 karp:2 comput:1 mine:1 discussions:1 need:2 citeseer:1 any:1 mappings:1 self:1 edge:9 build:3 finding:4 so:11 incidence:19 kan:1 simplify:2 connected:8 but:2 pair:1 acknowledgements:1 class:1 partition:1 vertices:13 bipartite:12 graphs:2 principle:2 fact:1 relation:2 find:3 guet:1 e19:2 e18:2 based:1 e11:2 e10:2 e13:1 e12:1 e15:1 e14:1 e17:2 e16:1 lemma:8 only:10 columns:2 means:1 trees:1 famous:1 words:2 shown:4 approach:3 arxiv:1 summary:1 london:1 cycles:1 set:5 exists:1 maximum:2 arc:4 result:2 versus:7 review:1 label:1 un:1 closed:1 between:3 conditions:3 extend:1 attention:1 incident:1 both:1 last:2 reverse:1 according:17 etc:1 tour:1 comes:1 otherwise:6 cn:1 guangxi:1 simple:8 dimensional:2 polynomial:7 table:2 throughout:1 considering:4 guilin:2 outdegree:2 ai:16 combined:1 abstract:1 define:1 describe:1 corresponding:2 sufficient:1 representative:1 c3:3 c2:5 c1:5 andrea:1 c6:1 c4:2 case:1 multi:1 subsets:1 value:2 will:1 optimization:1 suppose:6 a20:1 a21:1 a22:1 vol:2 vi:47 vj:5 vk:7 thus:9 equal:1 maximal:6 technology:1 binary:1 different:1 author:1 belong:1 kaoru:1 same:2 html:1 finite:2 http:1 unlabeled:2 monotonic:2 edges:6 cycle:38 well:1 without:1 components:12 sets:1 firstly:3 entry:1 guided:1 obtain:6 valuable:1 gt:2 accepted:2 cc:1 easy:2 theorem:22 psu:1 match:2 unique:1 poset:1 ni:1 n5:1 like:1 follows:3 3sat:2 remind:1 contradict:1 mcgraw:1 some:3 cs:1 repeat:1 digraphs:12 matching:38 nondeterministic:1 does:1 prof:2 cnm:3 who:1 vertex:16 equivalent:2 processing:1 substituted:1 properties:5 most:4 column:5 theorems:1 o:9 obeys:3 discusses:1 road:1 soc:1 computational:1 letters:1 digraph:35 into:6 obtaining:1 bound:8 hopcroft:2 references:1 determine:1 balanced:7 lastly:1 additional:1 pearl:1 there:11 forward:3 m1:3 sections:1 function:3 complete:4 jul:1 directed:3 zhu:1 algorithm:3 consist:2 shmoys:1 whether:1 cij:8 up:1 us:17 convince:1 ui:2 uk:1 problem:10 called:2 proved:2 defined:1 ak:2 aj:11 denote:2 proves:2 check:1 again:1 completeness:1 no:5 salesman:1 when:8 detail:2 np:5 mathematics:2 conclusion:1 node:2 a14:1 a17:1 a16:1 a10:1 chichester:1 a12:1 hirota:1 a19:1 a18:1 a1:3 a3:3 a2:3 a5:1 a4:2 a7:1 variable:2 a8:1 building:1 backward:1 implies:1 partitioned:1 having:1 4k:2 time:6 n2:5 n3:2 n4:7 original:1 n6:1 |
0704.0310.txt |@word consider:3 chinese:2 dallacasa:10 results:4 four:2 eds:1 disk:1 compact:13 whose:1 certainly:2 pointing:1 shanghai:1 young:2 send:1 tail:1 those:1 stable:2 tb:1 indicating:5 onsala:1 very:1 frequencies:1 rise:1 evn:5 mg2:1 did:1 list:3 large:3 small:1 caltech:1 concluded:1 pasa:2 consistent:3 alvaro:1 rate:1 pasp:1 7th:1 further:4 estimated:8 observatories:1 calibrators:1 spectral:7 index:3 what:1 appear:2 giving:1 ned:2 selected:1 favour:1 3k:1 experiment:1 nine:1 increasing:1 respectively:1 component:15 grey:1 hours:1 reported:1 objects:3 china:3 others:2 active:1 strong:1 appears:2 obtained:2 milliarc:36 study:3 funded:1 suggests:2 narrow:1 followed:1 classification:5 apr:1 photometric:1 aimed:2 total:12 unit:1 use:2 would:1 h0:1 few:1 live:1 therefore:1 jive:1 type:1 minor:1 more:2 african:1 under:1 emission:14 antennae:1 central:4 cases:1 nineteen:12 sample:10 cas:1 science:1 work:1 values:2 ms:1 mr:3 following:1 dea:6 jansky:2 beijing:2 triple:3 give:2 bruyn:1 high:2 νm:1 times:1 reynolds:2 zotti:1 aging:1 cso:25 provide:1 discussion:2 feature:1 hot:1 strom:1 symposium:1 snellen:9 circular:1 fr:1 information:5 may:3 spot:1 conway:4 data:3 comp:1 short:1 natural:1 westerbork:1 joint:1 spectra:4 ghz:98 sm:1 correlation:1 order:2 turnover:1 nsfc:1 closely:1 astronomical:2 years:4 motions:1 still:1 its:3 galaxy:2 before:2 thank:1 redshift:6 imbedded:1 exhibits:2 detected:3 compelling:1 fig:36 main:1 might:1 into:2 them:4 integral:1 colomer:1 often:1 effects:1 they:5 half:2 continuum:1 february:1 name:2 brightness:1 university:1 classified:3 identified:5 kpc:6 classify:1 each:1 stanghellini:8 found:1 higher:2 eastern:1 telescope:2 phj:4 councils:1 series:1 ef:2 mas:24 frequency:9 our:3 out:9 emerges:2 network:2 since:1 research:2 increase:1 re:1 dominated:1 vlbi:58 suggesting:1 got:1 newly:1 medicina:1 integrated:1 burke:1 shows:7 foundation:1 doppler:1 linear:2 derived:1 galaxies:5 free:3 completely:2 imaging:3 boosting:1 estimate:1 nvss:4 could:4 keep:1 turn:1 int:1 assumed:1 hence:1 xiang:11 loud:1 south:5 first:33 major:1 manuscript:1 powerful:2 facility:1 angular:1 size:10 given:1 temperature:1 jet:24 introduction:1 system:2 their:12 confirming:1 listed:2 majority:1 celotti:1 southern:1 observations:20 bremer:3 academy:1 completed:1 task:1 optical:4 western:1 jiang:1 than:3 peaked:14 distance:1 level:2 observatory:1 nathan:1 ipac:1 double:23 mbps:1 database:1 likely:6 aims:1 urumqi:5 recording:1 future:2 amplitude:1 were:6 gps:28 steep:2 exhibit:1 mini:5 sp:1 spectrum:15 alike:1 cleaned:1 quasars:1 confirms:1 any:1 relatively:1 liu1:1 angle:2 ource:2 studying:2 self:1 isolated:1 polarization:3 liu:11 fitting:2 absorbed:1 noto:1 even:1 though:1 incidence:2 depths:1 most:3 but:4 significant:1 acknowledgements:1 measured:8 class:1 doi:1 observation:5 considered:1 later:1 mjy:46 proceedings:1 snapshot:1 torun:1 typical:1 vries:10 fitted:1 pks:10 parkes:2 axes:1 show:7 beam:54 supported:1 implying:1 bright:3 radio:31 find:2 q0:1 parameters:2 candidates:3 condon:2 factor:1 ottgering:2 over:2 columns:5 fanti:7 lobe:16 de:12 overall:1 truly:1 agns:4 j1826:1 words:1 αh:1 secondary:1 evolution:1 densities:5 arxiv:1 summary:1 miley:2 computed:2 national:2 maximum:2 observed:4 intensity:3 individual:1 sec:36 result:3 operated:1 institutes:1 contour:17 youth:2 propulsion:1 review:1 currently:1 symmetric:4 identification:3 between:2 probably:5 αl:1 variability:9 jy:2 relative:1 missing:1 confusion:1 weak:6 key:2 suggested:1 received:1 region:3 density:9 according:3 contract:1 requests:1 orienti:2 comment:1 among:1 cn:1 point:1 had:1 pole:1 morphologies:2 table:19 kinematic:1 wright:1 addition:1 west:2 due:8 been:3 pc:10 reduction:1 pa:20 basic:1 ph:1 empty:2 define:1 engine:1 direction:2 referee:1 partly:1 both:3 baum:3 qso:2 schilizzi:5 general:2 diffuse:5 present:1 p1:1 j2123:2 will:3 near:1 error:2 real:1 uncertainty:1 lehnert:2 apjs:2 ii:1 sity:1 dual:1 faraday:1 id:1 increased:1 suggest:3 make:1 same:1 bachiller:1 couple:1 european:3 evolve:2 used:2 see:3 hand:1 levels:2 totally:1 selfcalibration:1 lower:4 suitable:1 scenario:2 xjb:1 calibration:1 well:1 analysis:1 thought:1 edge:2 components:4 position:3 model:1 nearby:1 spencer:1 less:1 quasar:2 names:1 sources:67 bandwidth:1 scattering:1 griffith:2 previous:2 candidate:5 sciences:1 absorption:5 5v:1 seems:1 except:2 jodrell:1 source:44 other:3 east:2 nasa:2 resolved:7 march:1 around:2 showing:1 possible:6 early:1 possibly:1 unification:1 using:1 accepted:1 cj:6 like:5 sizes:3 inten:1 δs:1 flux:27 mhz:1 either:3 murgia:2 methods:1 classical:1 some:4 searching:1 jmfit:1 exposes:2 b2:1 convex:2 images:8 provided:1 scale:3 confirm:1 comments:2 magnitude:2 indication:1 restoring:18 core:20 j1753:2 processing:1 host:4 about:6 rare:1 carried:2 extension:1 column:1 fringe:1 o:6 gregory:2 contours:1 road:1 presence:1 previously:1 image:36 within:1 polatidis:2 three:2 references:2 effelsberg:1 labiano:3 inserted:1 there:8 low:4 fraction:1 astrophysics:1 was:2 assumes:1 synchrotron:1 ago:1 hard:1 north:2 extended:3 gaussian:1 astro:1 csos:13 mnras:2 tinti:2 line:1 editing:1 made:2 consist:1 whether:1 up:1 us:4 limit:1 embedded:1 similar:2 hz:1 ac:1 associated:4 lobed:1 barthel:2 defined:1 abstract:1 redshifts:1 evidence:1 proper:1 lobes:4 laboratory:1 perez:1 owsianik:2 compared:1 beaming:1 no:2 25m:2 percent:1 ekers:1 graduate:1 field:2 priori:1 edgeon:1 aips:2 conclusion:1 permitting:1 depolarize:1 sided:3 peak:21 astronomy:2 sides:1 structure:20 offprint:1 agn:3 j2058:10 age:1 declination:1 time:2 nuclei:1 4c:12 restored:1 |
0704.0311.txt |@word magnetically:2 represent:2 switched:1 magnetic:41 global:1 results:5 cobalt:5 leads:2 scalar:1 inhomogeneities:1 edu:1 expressions:2 nwo:1 centers:3 poorly:1 producing:1 charge:2 program:1 those:1 under:1 alternating:3 applied:1 amplitudes:1 straightforward:1 cantilever:9 very:1 amorphous:2 electron:1 orientations:2 stays:2 application:1 condition:1 room:1 switches:2 level:1 positions:1 anisotropy:7 developing:1 large:3 vector:2 small:3 barbara:1 upper:1 work:3 force:25 periodicity:1 consistent:1 sin2:1 second:3 displays:1 chen:1 further:1 dynamics:2 scientific:1 even:1 what:1 nano:1 trivial:1 sum:1 near:1 thickness:1 3j:1 axial:1 experiment:2 above:6 3c:2 new:2 tips:10 increasing:2 method:1 slabs:3 temperatures:1 full:1 exchange:1 respectively:1 component:4 here:4 agreement:2 reported:3 deposition:1 focused:1 leu:2 mes:1 granularity:1 represented:1 along:3 strong:1 z0:16 appears:1 z2:3 box:1 institute:1 involved:1 larger:3 allows:1 excursion:2 domains:2 resonance:3 deg:1 changes:2 composed:2 diameter:2 topography:1 divide:1 apr:1 highly:1 decrease:1 anomalies:2 total:2 attendant:1 unit:2 conventional:1 thiaville:1 indicated:3 usa:4 negative:2 next:1 few:2 asteroid:4 m2:1 taken:1 doubling:6 more:2 hoffman:1 ti:2 reversals:1 cases:1 aligned:2 iii:1 must:1 high:8 keeping:1 crosses:3 ibm:1 mm:15 science:1 equation:1 averaged:4 reproduce:1 mt:21 labeled:2 values:9 thin:1 trans:1 could:4 numbers:1 wang:2 figure:28 scan:2 process:2 sample:16 indicates:2 minimum:2 spm:1 allowed:1 sharp:2 tan:7 dennis:1 axis:7 afm:2 end:3 steve:1 divided:1 chemical:1 commercial:1 optimal:1 absolute:3 parameter:1 sin:1 lan:1 intended:1 information:1 may:1 yuasa:1 collection:3 convincingly:1 faculty:1 improving:1 mesa:1 data:4 response:2 organization:1 third:1 coat:1 lines:5 switch:1 so:1 inhomogeneity:1 pyramids:2 vapor:1 kittel:1 interpretation:1 reversal:1 corporation:1 over:4 displayed:3 flips:2 symbols:3 through:5 its:5 regions:1 ovals:2 rapidly:1 thank:1 fit:7 apex:1 interesting:1 zˆ:1 forms:1 estimating:1 absence:1 degrees:1 inspecting:1 mail:1 main:2 might:1 image:7 non:2 ym:3 entire:1 material:1 dai:3 units:1 cutting:1 example:2 hall:1 4πr:2 term:3 netherlands:2 2s:1 always:3 university:5 presented:3 arrows:1 sufficiently:1 2f:1 magnitude:1 mode:3 reasonable:1 each:5 2n:10 side:3 2k:1 domain:8 square:2 nanodots:3 series:2 energy:14 4b:1 frequency:9 laboratory:2 transitions:1 eq:3 out:1 shown:3 reducing:2 fundamentally:1 driving:2 gradient:6 res:1 since:1 rev:3 research:3 dutch:2 epitaxially:1 sensor:1 occurs:2 foundation:1 trajectories:3 8n:1 possibility:1 california:3 imaging:2 sensors:1 8q:1 generate:1 wall:6 advance:1 r2:1 geometry:2 widths:1 route:1 phy:1 david:1 silicon:2 caption:1 length:9 moving:1 parallel:5 annu:1 first:5 reversing:1 already:1 features:1 symmetry:1 xm:4 magnetizations:1 number:1 fits:1 smaller:2 done:1 directly:1 thick:2 clarity:1 quality:1 size:2 kink:1 given:7 temperature:2 dfz:5 approximately:4 heights:6 indicate:1 twente:1 calculations:1 john:1 bits:4 sensitivity:1 listed:1 relative:2 zm:6 simulate:1 review:1 crosssection:1 spacings:5 believe:1 than:5 distance:3 polarized:1 johnson:1 was:4 zero:7 recording:1 matter:1 determined:1 were:6 minus:1 exhibit:1 function:2 7o:1 radial:1 curves:2 mater:1 hy:1 qualitatively:1 seen:1 relatively:2 angle:6 retracted:1 nanorods:1 maximum:1 predominantly:1 oriented:2 other:2 k1:27 materials:2 take:2 online:2 switching:28 play:1 normal:1 track:3 most:1 significant:1 quantitative:1 phase:14 kaz:1 analytically:1 probes:11 idealized:1 subtracted:2 calculated:14 kh:1 metal:1 inferred:1 mailly:1 points:1 kz:1 realised:1 normally:1 section:5 fact:1 stoner:4 particularly:2 show:2 rtm:4 text:7 supported:2 evaporation:1 uniform:3 d2:3 find:1 boundaries:1 parameters:3 less:1 basel:1 state:1 should:1 only:1 factor:2 local:3 do:1 means:1 df:1 simplest:1 uniaxial:1 beam:2 watson:1 dz:3 dx:1 dr:2 reorient:1 processes:1 densities:11 fields:19 arxiv:1 microscopy:3 acknowledgments:1 microscope:1 stw:1 predicted:2 double:2 analytical:2 london:1 scanning:1 halving:1 2c:1 respect:1 trilayer:1 flip:2 observed:4 see:3 individual:5 result:1 close:1 best:8 techniques:1 away:1 dipole:4 incorporating:1 µm:2 bucher:1 written:6 smallest:2 various:1 epitaxial:2 between:9 tens:1 boundary:2 conditions:1 wide:1 multiplied:1 comparable:2 spacing:1 weak:1 however:1 nsec:1 reproduces:1 extent:1 probing:1 carbon:4 configuration:1 both:2 cos:4 cubes:2 moler:2 taking:1 tracks:8 wernsdorfer:1 grain:2 σw:11 experimental:2 ch:1 co:3 point:1 color:2 period:3 height:4 directions:2 anti:2 modeling:13 2ns:6 ae:1 crystalline:3 deng:2 described:8 trajectory:2 due:3 been:6 reduction:1 much:4 complicated:1 expected:1 lett:5 dots:1 obtained:1 direction:19 controlled:1 benoit:1 hmt:1 requires:1 lift:5 tapping:2 external:2 derivative:3 dmr:1 present:1 case:2 pacs:1 solid:2 reliable:1 value:10 air:1 while:2 abrupt:1 shift:11 eik:1 ultra:1 shortened:1 layer:1 would:2 orientation:6 coupled:1 averaging:1 simulations:1 coating:1 surface:4 ik:1 vs:2 cond:1 technology:1 grown:2 different:5 develop:1 grant:2 media:5 cross:10 same:2 shifts:1 inch:1 several:2 difficult:1 used:2 metlushko:1 closest:1 numerical:3 padovani:1 driven:1 ion:1 moment:34 levels:2 uses:1 infinite:2 changing:1 recent:1 recognized:1 ellipsoidal:1 center:6 analysis:2 without:1 sets:1 position:2 model:7 chemistry:1 oscillation:1 enschede:1 ny:1 magnetization:10 just:2 examining:1 moments:5 when:5 superconductors:1 mfm:5 rest:1 shape:2 atomic:1 predicts:1 kilo:1 nanotechnology:1 alignment:1 note:1 density:3 percent:1 royal:1 discontinuous:1 potential:1 attractive:1 samples:1 compares:1 nanoscale:1 saturation:9 spatial:6 possible:2 corresponds:1 increases:2 background:3 vacuum:1 using:16 bit:11 advanced:2 cantilevers:1 vertically:6 like:1 geballe:2 follows:1 signal:3 disks:1 specific:1 flux:2 multiplicative:1 simply:1 reduced:1 erhan:1 because:2 spring:1 some:1 competition:1 understood:1 specified:1 images:10 ross:1 soc:1 neglecting:1 happens:1 gradually:1 scale:3 bottom:1 avoid:2 measurements:1 recorded:6 per:2 favors:2 dz0:5 critical:4 dipoles:2 assuming:1 fom:1 intersections:1 demonstrated:1 coated:4 2b:1 l1:26 perpendicular:1 although:1 offset:3 plots:2 bx:1 bz:2 takes:1 about:6 ferromagnetic:2 o:2 slightly:2 15nm:2 perturbed:2 presence:3 previously:1 instruments:2 into:2 within:2 numerically:1 functional:1 nsf:3 three:1 references:1 proportional:4 conceptually:1 uncertainties:1 log:6 area:1 mt2:1 assumed:5 there:1 long:3 width:3 appl:5 low:8 fraction:1 sections:7 hz:17 hx:11 medium:22 form:2 wohlfarth:4 but:2 volume:8 repeated:1 nanotubes:3 line:4 role:1 made:3 cpn:1 stanford:7 mat:1 nanotube:21 yorktown:1 kumar:1 dφ:2 below:5 bonet:1 demonstrate:1 similar:1 average:2 detailed:1 phil:1 constant:2 abstract:1 moved:2 katayama:1 kathryn:1 apexes:1 our:11 az:1 physical:1 nm:28 no:2 dashed:2 tip:74 field:20 setting:1 electrical:1 digital:1 department:3 conclusion:2 deviation:1 anisotropies:1 briefly:1 elements:4 otani:1 variation:2 structure:1 furthest:1 implies:1 coupling:1 wafer:1 assume:2 physics:2 required:1 curve:1 4o:1 inset:4 resolution:1 original:1 once:1 |
0704.0312.txt |@word limited:1 abundances:2 code:2 partial:1 consider:1 chain:2 illustrates:1 particular:4 dynamic:1 results:12 existing:1 four:3 scalar:1 edu:1 particularly:1 amplified:1 causes:1 increase:1 depend:2 pointing:1 ac02:1 caldwell:1 producing:1 description:1 technique:2 good:3 summarised:1 program:1 those:3 under:3 lin:1 suite:4 include:1 vanishingly:1 worth:2 indicating:1 divergent:1 advice:1 conjecture:1 probe:1 mpc:1 without:2 very:2 alternatives:1 account:1 mf:1 every:1 difficult:1 summarized:1 vastly:1 associated:3 little:1 leads:1 school:1 level:5 diverging:1 issue:1 dif:1 cmb:12 upa:1 large:14 adjust:1 small:6 degeneracy:3 mn:1 force:3 version:1 oscillation:1 riess:1 trend:2 mnras:7 sign:2 approximation:3 surrounding:1 rate:5 design:1 microphysical:1 further:4 estimated:1 λcdm:10 even:4 employ:3 what:4 nonlinear:7 plays:2 appear:2 giving:1 trivial:1 section:7 selected:1 near:2 current:2 coles:2 international:1 method:2 thin:1 body:8 evolving:3 full:4 degree:1 divergence:3 bailin:1 modify:1 vale:2 understanding:5 behaviour:2 desired:2 explore:1 ansatz:1 jcap:2 berkeley:2 directions:1 const:2 entire:1 equations:2 change:3 box:4 great:1 broken:1 shift:3 study:4 larger:2 era:1 commonly:1 leaving:1 significantly:2 suggests:1 periodic:1 resulting:1 formation:2 studies:3 involves:1 frictional:1 appropriately:1 prints:1 via:1 term:1 scales:2 apr:1 requiring:2 merely:1 visibly:1 magnitude:2 modifying:1 scaled:4 addressed:1 subsurface:1 cloud:1 challenging:1 derivatives:1 use:3 exciting:1 figure:31 would:1 remains:1 positive:1 chooses:1 next:2 few:2 therefore:3 criteria:1 australian:2 type:1 achieving:1 today:4 more:10 flat:1 started:1 outputs:3 getting:1 line:1 validity:1 author:1 tested:1 domination:4 carrying:2 intermediate:1 apjs:1 prescription:5 foundations:1 cases:1 linder:13 must:1 keeping:2 characterised:1 ma:7 grant:2 pursue:1 science:2 equation:13 work:6 modified:2 remain:1 zhan:2 values:5 hope:1 already:1 springel:3 example:3 history:10 compare:1 needing:1 degenerate:1 cosmological:22 calculation:4 isw:1 preserving:1 pieces:1 high:10 indicates:2 performed:6 council:2 times:2 genuinely:1 absolute:2 information:1 varied:1 provide:1 verify:1 discussion:1 acts:1 bertschinger:2 huterer:2 spurious:3 methodology:1 fourth:1 instead:1 axis:2 parameter:3 intended:1 utilise:1 relates:1 hmpc:12 earlier:1 derived:1 mapping:11 lab:1 complicated:1 consequence:2 produce:3 ricker:1 faculty:1 fits:1 data:5 concerns:1 realized:1 natural:1 outline:1 spectra:15 lines:1 correspond:1 parameterized:1 cosmology:5 rather:4 accelerated:1 sons:1 negligible:1 fundamental:1 acknowledges:1 order:5 semianalytic:1 interpretation:3 closely:8 office:1 produces:1 ameliorate:1 indeed:1 over:6 fft:3 displayed:1 zel:1 interpreted:1 produced:1 overdensity:1 paper:5 including:5 lss:1 still:1 its:2 galaxy:1 warren:1 style:2 difference:11 rapidly:1 thank:1 fit:1 shifts:1 ln:1 interesting:1 presence:1 exhibits:1 writing:1 better:3 lw:7 fig:11 phrvd:1 encompassed:1 might:3 shear:2 correspondence:1 eventually:1 non:26 usa:1 motivated:2 greater:10 seeking:1 matches:1 gadget:1 runs:4 slight:1 scaling:1 effects:12 they:2 advantages:1 feature:1 scatter:2 lbnl:1 discuss:2 halo:1 matched:31 trac:1 reflecting:1 february:1 finite:3 equality:1 wang:1 fully:3 university:2 presented:1 l75:1 grows:1 did:1 theory:1 kpc:1 mode:1 reasonable:1 each:10 crossing:3 acoustic:4 identifies:1 realisations:13 constraints:4 commonwealth:1 development:1 differential:2 just:2 another:3 generation:2 series:2 energy:59 growths:2 related:2 martin:1 used:11 search:1 expect:1 calibrate:1 substantially:1 our:5 approximated:1 beyond:1 special:1 out:15 try:1 shown:14 astroparticle:5 factors:3 bonometto:1 since:8 rev:2 research:3 particles:2 dominated:2 05ch11231:1 formula:6 suffices:1 integrated:1 red:1 shows:4 foundation:1 wiley:1 linear:57 disagree:1 utilize:1 galaxies:2 given:5 free:1 five:2 dependencies:1 california:1 tied:1 org:1 estimate:2 care:2 perform:1 regarding:1 could:1 transition:2 cosmic:10 confident:1 keep:2 creates:1 turn:1 length:2 place:1 due:8 signature:1 hence:2 first:1 origin:1 phrvl:1 initial:7 features:5 striking:2 apjl:3 omitted:1 number:5 will:9 smaller:1 takada:2 robust:1 carry:3 illustrating:1 clarity:1 angular:2 size:3 surveys:7 similarly:1 introduction:1 leading:2 adopted:1 pinned:1 their:1 cooling:1 perturbations:6 rates:1 too:1 show:5 brevity:1 white:10 scheme:4 gives:3 shifted:1 excellent:1 way:1 behind:2 dolag:1 baryon:4 tool:1 accurately:2 astrophysics:1 part:3 somewhat:1 ference:1 believe:1 than:19 dynamical:12 begins:1 distance:28 impractical:1 ara:1 tree:1 second:1 matter:21 future:5 amplitude:4 were:13 toward:1 usefulness:1 exhibit:1 outstanding:1 fluctuation:1 correction:1 w0:11 mind:2 spectrum:56 curves:1 crossover:10 say:2 variable:1 seen:6 any:6 nbody:1 acceleration:1 implemented:1 computationally:1 output:1 studying:2 latter:1 responsible:1 slosar:2 note:5 instance:2 fitting:7 potential:2 take:2 forces:1 l119:1 spergel:3 so:2 accuracy:17 formulas:4 play:1 differences:3 relatively:2 established:1 track:2 collaboration:1 imprinted:1 most:8 errors:7 printed:1 significant:3 wavenumbers:1 measured:2 class:1 probes:6 astro:3 deviations:1 cause:1 treats:1 consequences:3 considered:1 calculated:5 sometimes:1 implications:1 typeset:1 looked:1 points:3 camb:3 typical:2 physics:10 lying:1 quantity:1 slope:1 incorporate:3 signatures:1 shot:1 lucchin:2 lewis:6 1hmpc:1 supported:2 discovered:1 purely:1 relation:2 mainini:1 rough:1 d2:2 debate:1 cell:1 ratio:17 knowledge:2 parameters:16 baryonic:1 less:7 written:1 elucidated:1 should:4 analytic:1 only:7 explicitly:1 factor:11 interested:2 achieve:2 do:4 predict:1 gains:2 albeit:1 dependent:2 de:1 klypin:2 seljak:2 cannot:2 words:2 import:1 combinations:1 during:1 ωde:4 dp:1 secondary:1 evolution:4 densities:1 course:2 conditions:11 arxiv:3 across:2 dovich:1 mapped:2 through:5 fortunately:1 fixed:2 worrying:1 rms:4 set:6 computed:1 exists:1 achieved:1 physically:1 generally:2 achieves:1 testing:1 tended:1 relative:18 habib:1 see:13 result:4 usyd:1 discussions:2 forthcoming:1 best:1 seems:1 reasonably:1 complementary:1 cosmologies:15 diverge:1 importance:1 state:12 determined:1 various:1 tendency:1 between:27 affecting:1 challinor:2 geometric:2 approach:5 email:1 wide:3 lasenby:2 accord:1 terms:1 ability:1 wa:12 nature:1 initially:2 spacing:1 weak:5 however:11 efficiency:2 reproduces:1 succeed:1 here:3 key:3 demonstrate:1 probing:1 article:5 both:1 essentially:1 improved:2 many:3 taking:2 conclusions:1 heating:1 previously:1 display:1 chosen:1 marked:1 figures:13 utilising:1 concentrates:1 contribution:1 estimation:2 comes:1 strongly:1 relevant:1 elaborating:1 space:1 point:7 simple:7 had:4 ca:1 address:1 corresponds:2 sampling:3 dimensional:1 distinguish:1 maintained:1 simply:1 decreases:1 modeling:1 respect:4 throughout:1 suppressing:1 expensive:1 considering:1 hawkins:1 described:3 attraction:1 addition:1 bode:1 create:1 three:4 been:3 extraction:1 much:9 slowly:1 combined:1 interest:2 compensating:1 ph:3 pm:1 corresponding:2 deeper:1 quantities:6 sufficient:1 formed:1 precision:2 gao:1 snap:1 contaldi:1 systematic:2 astron:1 last:10 resultant:1 present:4 case:3 prospect:1 main:2 developing:1 estimations:1 value:5 aim:1 while:6 fiducial:3 behavior:4 error:6 aid:1 balance:1 region:4 procedure:8 real:2 examines:1 phenomenological:1 allows:1 drawbacks:1 thus:2 surface:6 clearly:1 comoving:1 cluster:2 vs:1 knop:1 affected:3 zhang:1 chaining:1 acknowledgments:1 different:16 verified:1 sensitive:1 perhaps:1 suggest:1 realizing:1 cross:2 same:11 check:1 matthew:1 epoch:6 widely:1 kuhlen:1 modification:1 dimensionless:1 several:4 epochs:2 outlined:1 higher:8 halofit:4 independent:1 clear:3 investigated:1 assignment:1 numerical:8 upon:1 effect:12 director:1 v2:1 chris:1 hospitality:1 changing:2 recent:1 early:7 lower:5 task:2 kept:1 modes:1 largely:3 settled:1 variety:3 well:7 roughly:1 obviously:1 directly:1 calibrated:1 cci:1 greatest:2 alleviate:1 sets:4 inability:1 undertaken:1 model:34 plotted:2 arising:1 dimension:1 figs:1 distances:1 softening:2 diameter:1 being:2 when:4 accurate:12 valuable:1 imprint:1 sources:2 shape:1 identify:1 thanks:2 regardless:1 doran:2 scattering:10 yet:1 previous:2 onset:1 rapid:1 density:18 mcdonald:8 smith:6 except:1 improvement:2 causing:1 extends:1 maintaining:1 sydney:1 relevance:1 input:1 consideration:2 possess:1 remaining:2 match:9 identical:3 makes:2 tests:2 australia:1 insensitive:2 checking:1 advances:2 possible:2 dark:59 possibly:1 increases:2 grid:5 mon:1 background:1 ultimately:1 using:6 knox:2 highly:1 helpful:1 apj:5 necessary:2 like:3 particle:4 sizes:1 qualitative:1 manifest:1 specific:1 either:3 arbitrary:1 initiative:1 nice:1 robbers:2 reduced:5 clustering:1 www:1 because:1 methods:2 tex:1 some:3 searching:1 trends:2 growth:46 table:2 oscillations:2 extended:1 matching:24 investigating:1 anisotropies:1 provided:1 scale:17 jeremy:1 demonstrates:1 measurements:1 integration:1 l1:1 heitmann:2 defined:1 does:4 eliminate:1 provides:3 readily:1 discerning:1 demonstrated:1 varying:3 noise:1 itself:1 power:94 plot:1 prospects:2 agreement:4 expansion:6 envision:1 pressure:1 boxes:2 ratios:5 found:5 plots:2 relating:1 francis:4 finding:1 properties:3 comparison:2 central:9 carried:5 package:1 column:1 universe:10 discussed:1 dependence:2 o:3 simulation:10 range:10 important:3 ensure:1 greatly:1 insufficient:1 efforts:1 mean:1 slightly:1 soc:1 computational:5 redshift:10 h2:2 into:1 within:4 numerically:1 negative:5 down:1 lies:2 appropriate:1 lensing:5 references:1 determine:3 pivot:1 reducing:1 macci:3 dodelson:2 nsw:1 realisation:4 jing:2 statistics:1 additional:1 comparing:2 extremely:3 support:2 there:4 long:3 dispersion:1 start:2 describes:1 low:1 fraction:1 crucially:1 forward:1 was:15 select:1 function:1 tight:1 form:2 latex:2 cosmics:1 converse:2 but:12 hu:4 volume:5 expected:2 construction:1 snapshots:1 convergence:6 delivers:1 utilizing:2 made:1 arrays:1 gravitational:6 smooth:1 us:1 below:1 frequency:1 ωm:7 how:4 fluctuations:2 distribution:2 ωb:1 similar:7 called:1 detailed:1 later:2 constant:16 entering:1 computing:1 ai:2 abstract:1 redshifts:1 influence:1 textbook:1 general:1 weff:15 intimately:1 single:4 au:1 file:2 simulations:30 exist:1 formalism:1 eric:1 physical:17 phantom:4 again:1 mutual:1 compared:2 ideally:1 no:1 agreeing:1 dashed:2 percent:10 field:1 wetterich:2 other:17 role:3 details:2 holding:1 department:1 jenkins:2 conclusion:1 deviation:3 picture:1 accounted:1 calculating:4 models:64 update:1 variation:2 prepared:1 a1:1 generated:2 a2:1 log:1 additionally:1 velocity:1 included:1 structure:19 regime:2 requires:4 required:2 devise:1 mass:22 useful:2 time:6 far:1 observables:1 resolution:5 lett:1 once:1 |
0704.0313.txt |@word represent:2 gs:4 consider:3 chain:1 magnetic:2 comparatively:1 results:5 existing:1 although:2 sci:1 research:2 issues:1 excludes:1 dimensionality:3 ver:1 calculate:1 zone:1 concerned:1 young:1 yuta:1 quasi:2 program:1 those:1 excluded:2 tc:1 case:2 zhang:1 far:1 semi:2 wave:4 prog:1 electron:1 every:1 difference:1 exact:2 condition:1 lecheminant:2 hamiltonian:5 anisotropy:20 solution:1 t1:1 large:7 vector:1 small:7 attracting:1 still:1 q1d:3 strongly:2 work:1 disordered:3 cond:1 approximation:8 zero:3 qualitatively:1 estimated:2 linear:1 even:2 rewritten:1 appear:1 rate:1 remain:1 3j:5 above:3 new:1 d1:6 method:1 full:1 exchange:4 respectively:2 here:3 understanding:2 magnetism:2 cos2:2 mckenzie:2 address:1 consideration:1 along:5 strong:2 equations:3 obtained:2 spite:1 broken:1 study:1 studied:1 approaches:1 couplings:2 decoupled:4 studies:2 plotted:1 uniquely:1 9j:2 regardless:1 projection:3 family:2 apr:1 explained:2 summation:1 apply:1 plot:1 conventional:1 would:1 intensively:1 remains:3 coupled:2 finally:1 next:2 zig:3 therefore:2 means:2 until:1 more:1 lhuillier:3 introducing:1 diamond:1 furthermore:2 becomes:3 operators:2 enormous:1 berlin:1 known:1 saito:5 supercond:1 high:1 springer:1 tence:1 tokyo:3 science:1 past:1 des:4 mk:2 theories:1 reproduce:1 suggestive:1 infinitesimal:1 values:1 temperatures:1 following:2 meet:1 example:2 stimulating:1 nearest:1 figure:1 calculation:2 4t2:1 grant:1 chung:1 hexagons:1 states:3 indicates:2 minimum:5 degenerate:1 trumper:2 distinguishable:1 axis:2 rather:3 verify:1 breaking:1 feature:2 fermion:1 very:4 pure:2 plus:1 verlag:1 parameter:6 shiba:1 mat:1 dx2:1 deviates:1 gros:1 law:1 data:1 lar:1 realized:6 introduced:1 natural:1 effective:2 spectra:7 lines:2 su:1 interpolates:1 sj:2 si:2 frustrated:1 so:1 realizes:1 suggest:3 imply:1 order:5 dimensionalization:4 indeed:1 over:1 move:1 statistical:2 left:2 existence:1 merino:1 y2:1 excitations:8 ttf:4 tendency:1 thank:1 fit:1 located:1 ln:1 miyagawa:2 solving:1 actually:2 late:1 feel:1 fig:15 insulator:1 mail:1 cls:1 them:1 good:1 motivated:1 was:1 propose:1 material:5 introduce:1 ξij:1 half:3 now:1 discuss:1 nor:1 represents:1 anion:2 name:3 university:1 possibilities:2 sufficiently:1 filling:3 magnitude:2 l2:1 mode:3 each:1 found:1 2n:2 higher:1 side:1 mean:10 el:1 square:2 weight:2 fairly:1 generation:1 series:1 energy:7 static:1 expect:1 quantum:2 our:1 summary:1 spinon:1 out:1 shown:7 watanabe:1 factors:1 yamaji:1 jump:1 since:3 rev:11 projected:2 denotes:1 spinlattice:1 plotting:1 shows:3 condens:1 theory:4 interactions:2 discontinuity:1 little:1 possibility:4 quite:1 reason:1 formation:1 put:1 temperature:3 longrange:1 definition:1 pairs:1 organic:2 ministry:1 locations:1 3ky:2 isotropic:6 degeneracy:1 first:1 origin:1 already:2 symmetry:1 quasiparticle:1 zag:3 number:1 intrachain:2 neglects:1 another:2 sorella:1 size:6 given:3 exists:2 inoue:2 system:9 occupancy:2 priority:1 their:2 1d:15 calculations:1 molecular:1 yokoyama:1 consistent:4 gives:2 free:1 way:1 ncs:1 took:1 artifact:2 focusing:2 than:1 ogata:3 wide:5 liquid:11 marston:1 double:2 likely:1 inversely:1 matter:1 determined:1 doubly:1 str:1 lowest:1 rewrite:1 fluctuation:1 unchanged:1 spectrum:10 mater:1 supercomputing:1 occupied:1 orders:2 relatively:1 bunkyo:1 self:3 bernu:3 mechanism:2 note:3 otsuka:1 take:1 analogy:1 online:1 singh:2 heisenberg:6 multiple:1 opposite:1 any:1 singlet:1 significant:1 phase:4 analytically:1 elstner:1 observation:1 considered:2 calculated:1 later:1 typeset:1 ku:1 ky:4 kx:12 physics:1 fact:2 quantity:1 show:4 text:2 supported:1 relation:1 keywords:1 find:5 ground:7 based:1 parameters:3 written:1 only:2 rice:1 do:1 quasiparticles:2 triangle:1 bonds:2 simplest:1 masao:1 cannot:1 nearly:1 areas:2 pearson:3 misguich:1 fields:2 arxiv:1 gutzwiller:6 ek2:1 investigate:2 cloizeaux:3 view:1 fascinating:1 achieved:1 correlations:2 observed:6 culture:1 see:6 geometrically:1 result:4 japan:2 terms:2 contour:2 project:1 said:1 review:1 its:2 state:28 future:1 various:2 between:3 neither:1 approach:2 recently:1 attention:4 jp:1 however:1 js:1 analyzed:1 onsite:1 discontinuous:1 cos:8 region:1 according:2 komatsu:1 exceeds:1 estimation:1 whole:1 ck:2 among:2 ci:9 cn:18 cl:1 color:1 relaxation:2 corresponds:2 2nd:1 dimensional:3 cancel:1 table:2 cu:4 considering:3 destroyed:1 longdistance:1 remained:1 due:2 been:6 describes:2 slowly:1 treat:1 anisotropic:5 proposal:1 jc:1 hardly:1 capriotti:1 systems:1 direction:1 relations:1 corresponding:1 suppress:1 concerning:1 gap:13 hayashi:1 understand:1 bull:1 hmf:1 spin:31 present:3 paying:1 intriguing:1 replaces:1 ishiguro:1 exponential:1 solid:1 baskaran:1 value:1 will:1 behavior:5 interchain:4 aid:1 eik:1 frustrating:1 spotlight:1 ξk2:1 vectors:1 jpn:6 almost:7 thus:3 equal:2 ik:1 ij:1 mott:3 ambient:1 technology:1 id:2 different:1 d12:1 author:3 pay:1 cross:1 same:3 clearly:1 unity:1 finite:7 difficult:1 independent:1 investigated:1 unconventional:1 i3:1 effect:2 hand:3 insulating:3 conductors:2 changing:2 brillouin:1 scarcely:1 materials:1 firstly:1 model:8 matsukawa:1 magnon:2 1bz:5 usual:1 muon:1 cuprates:1 cj:7 being:1 superconductors:1 obtain:3 shape:1 hongo:1 simi:1 yet:1 previous:1 candidate:2 density:1 similarities:1 conclude:1 except:3 lattice:19 lett:4 pointing:1 excited:1 susceptibility:4 dark:1 increases:2 monovalent:1 jpsj2:1 using:1 bis:1 like:2 cu2:13 particle:7 mext:1 nanoscience:1 indication:1 integrals:2 become:1 valence:2 spins:1 because:2 some:2 pierre:2 moreover:1 diagonalizing:1 payed:1 gradually:2 scale:1 describing:1 excitation:24 res:1 measurements:3 critical:2 gapless:18 chains:9 nmr:2 scientific:1 power:1 equivalent:2 notable:1 bj:2 pressure:1 br:1 worthy:1 plots:2 properties:1 kagom:1 about:2 concretely:1 dependence:9 o:1 range:8 important:1 repulsion:1 neighbor:1 bond:2 soc:6 letter:5 h2:1 numerically:1 suppl:1 down:3 tanaka:1 right:3 determine:2 operator:2 sports:1 ek:8 transfer:2 misawa:1 there:2 dispersion:1 anderson:2 low:3 frustration:5 ed:1 analyze:1 sections:1 hightc:1 assumes:1 pg:2 function:3 form:2 regard:1 triangular:15 but:1 expected:2 line:2 considerable:1 longer:1 made:1 temp:1 ohira:1 antiferromagnetic:1 up:2 us:1 below:3 limit:6 problem:1 similar:1 called:1 kanoda:3 meanfield:1 rvb:8 ac:1 constant:3 ag:1 defined:2 geometrical:1 aj:2 general:2 globally:1 idxy:1 partly:1 education:1 physical:2 resonating:2 functions:1 compared:3 no:5 whereas:2 when:6 vanishes:2 field:9 other:2 department:1 theor:1 shimizu:3 deviate:1 zheng:1 exp:2 calculating:1 superconductivity:2 problems:1 ξk:4 technol:1 log:2 additionally:1 structure:2 coupling:3 coulomb:1 practically:3 d23:12 holes:1 fitted:1 bedt:4 expands:1 having:1 bcs:11 |
0704.0314.txt |@word secondly:1 since:2 partial:1 consider:5 caused:2 magnetic:3 varying:1 results:3 four:3 eds:1 ge:1 mp2:3 edu:1 constants:1 sci:1 restrictions:1 particles:7 inverse:1 const:1 system:2 tp:2 charge:2 preserved:4 stable:1 cm3:2 worth:1 division:1 string:2 very:1 frequencies:3 conditions:1 geometrical:3 electron:1 witten:1 refractive:3 experimentally:1 varshalovich:1 difference:4 condition:8 leads:1 morley:1 level:1 cavendish:1 scalar:9 d2:1 travels:1 vector:4 fadeev:1 indices:3 gauge:3 round:1 farakos:1 upper:8 mn:1 force:3 estimates:4 direct:1 approximation:2 second:1 teq:1 dynamics:1 mj:1 tev:2 wmap:1 even:1 established:1 rate:1 brackets:1 3s:1 trivial:1 expressed:1 current:3 experiment:1 fifth:3 above:3 new:4 net:2 contributes:1 boost:1 acknowledgments:1 filled:1 satisfy:1 iey:1 kowalski:1 respectively:4 component:1 here:6 diagonal:1 isern:1 mew:2 salam:1 them:1 address:3 directions:1 along:1 equations:5 appears:1 ukraine:1 antisymmetric:1 krall:1 asb:1 cern:1 shift:2 sarkisyan:1 vectors:1 action:8 hospitality:2 fourier:1 studies:1 jackiw:1 via:1 useful:1 extra:1 m2ψ:4 univ:2 planck:2 linearly:1 neglect:1 use:7 takes:1 usa:1 give:1 nucl:3 noting:1 m1:2 m0:3 typical:1 associated:1 ψf:2 theoretical:1 reflects:1 more:3 cosmo:1 flat:3 started:1 dxµ:1 under:1 curvature:2 lehnert:3 tested:2 berlin:1 appendix:3 particular:2 me:1 account:3 rotational:1 local:1 equation:3 fµν:6 modified:5 theories:1 grasso:1 values:3 mp:23 cal:1 following:6 field:31 modifies:1 example:4 stimulating:1 performed:1 weaker:1 cosmological:6 do:1 zaldarriaga:1 carroll:1 lψ:1 high:1 indicates:1 lorentz:4 numbers:1 exclude:1 keep:1 axis:1 information:1 rodr:1 rather:2 travel:2 holds:3 delay:8 pure:1 instead:1 ordinary:1 parameter:3 ψin:13 astropart:2 oscillatory:2 simplicity:2 product:2 bronnikov:1 description:2 suppose:1 par:1 applications:1 waves:9 cambridge:2 summarize:1 wave:5 data:2 plank:1 types:1 times:1 effective:10 negligibly:2 light:9 correspond:2 st:1 dilaton:2 ticles:1 cannot:2 so:3 increasing:1 polyakov:1 cherenkov:1 acknowledges:1 tbilisi:1 gµν:1 prefactor:2 operations:1 restriction:2 acts:1 lighter:1 astronomical:1 georgian:1 stability:2 experiments:6 through:1 signs:1 mentioned:2 still:2 excitations:2 its:2 before:1 regions:3 derive:1 group:2 thank:3 decay:6 energies:2 masses:14 solving:1 starobinsky:2 li:4 lv:12 lp:1 derivative:1 main:1 might:1 eur:1 dxν:1 greater:1 processes:1 cei:1 break:1 effects:3 they:1 rotation:4 now:2 yu:1 day:2 kahniashvili:2 represents:1 term:6 electro:1 equality:4 d3x:1 university:2 bursts:1 2a:1 each:2 found:3 em:2 qz:2 significantly:1 energy:8 stronger:2 related:2 challenges:1 grbs:2 astrophysical:4 ex:1 measure:1 quantum:1 our:11 ev:1 eq:13 principles:1 living:1 shown:1 perry:1 matrix:1 space:10 gradient:1 abastumani:1 lagrangian:1 qc:1 is5:1 denotes:2 increase:1 investigation:1 dominated:4 hill:1 rel:1 formula:1 induced:1 ref:7 occurs:1 note:1 shows:3 angular:2 theory:8 interactions:2 mψ:28 standard:3 small:3 completely:1 surely:1 york:3 estimate:6 beginning:1 uhecr:1 heq:4 definition:1 hubble:3 interaction:12 potting:1 could:3 conformally:4 noted:1 motion:1 place:2 massive:2 moskalev:1 eqs:4 first:1 origin:2 initial:5 symmetry:2 third:1 number:2 transform:2 another:1 type:1 zh:2 electronic:3 michelson:1 melikidze:1 rewritten:1 πd:1 their:6 interact:1 ukr:1 fmn:1 indicate:1 confirming:1 melnikov:2 jef:1 10gev:1 dt2:1 frame:3 ictp:1 viktor:1 exactly:1 astrophysics:1 part:2 mattingly:3 than:9 oscillate:4 begins:1 distance:1 kind:1 observatory:2 unfortunately:1 camelia:2 see:8 limiting:1 matter:8 determined:1 amplitude:13 were:1 hz:1 symmetries:1 generality:1 ann:2 modern:2 say:1 seen:2 cosmology:1 any:1 ray:1 robertsonwalker:1 strength:3 adelberger:1 ratra:3 convenient:1 responsible:1 mills:3 gravity:2 jacobson:2 oriented:1 potential:2 square:1 generalized:1 analogy:1 green:1 coincide:1 λcdm:1 vgr:1 abdus:1 electric:3 investigations:1 friedman:1 significant:1 measured:3 class:2 interacting:1 considered:7 clear:2 coincides:1 liberati:2 yang:3 exp:2 velocity:2 constrain:2 usual:2 physics:4 wavenumber:1 laws:1 show:4 violation:2 synchronous:1 cpt:1 implying:1 attempts:1 spaces:1 relation:6 solutions:1 astrophys:2 corner:1 fine:3 agrees:1 d0:9 d1:4 ksu:1 unther:3 q2:1 based:3 ıguez:1 parameters:6 much:3 overclose:3 should:9 only:2 3h:1 summarizing:1 factor:4 kaluza:2 over:3 abelian:1 gev:20 klein:2 get:9 dependent:2 familiar:1 dd:1 rept:1 satisfied:1 polarized:3 dx:2 international:1 during:5 dt:2 aν:1 hin:1 alexander:1 produced:1 evolution:1 resolve:1 densities:2 fields:3 arxiv:1 grav:2 garcia:1 investigate:1 paper:1 mewes:1 moduli:2 set:3 exists:1 national:2 up:4 observed:1 differs:2 depends:2 sec:5 result:2 discussions:1 close:2 sem:1 satisfying:1 tensor:4 written:1 future:1 between:13 invariant:5 subscript:1 approach:1 nature:2 however:3 piran:3 fluctuations:2 suppressed:1 both:2 cos:1 berro:1 limits:1 taking:1 acknowledge:1 according:3 propagation:9 meq:6 expression:2 heckel:1 experimental:1 generic:1 cm:1 point:2 simple:1 cb:1 corresponds:1 dimensional:11 superstring:1 grants:1 moreover:2 forms:1 khersonskii:1 basis:1 addition:1 create:1 due:2 been:3 mart:1 int:2 reduction:1 describes:3 tina:1 ph:1 meeting:1 odessa:2 obtained:4 determinant:1 arises:1 corresponding:3 observable:2 ınez:1 concerning:1 photon:5 mavromatos:2 bulk:1 external:1 demand:1 1gev:1 rubinstein:1 present:11 case:9 georgia:1 pacs:1 plasma:2 means:1 value:1 will:1 replaced:1 intas:1 paco:1 conformal:4 a21:1 larger:1 phenomenological:2 refs:3 thus:10 non:3 equal:1 reads:3 late:1 lifetime:1 loosing:1 ave:1 zhuk:6 faraday:2 different:2 etc:2 circularly:2 suggest:1 kosteleck:2 radiation:9 orders:1 epoch:2 quant:2 sarkar:1 myers:1 modification:2 nanopoulos:2 defines:1 higher:2 used:1 slightly:1 pospelov:1 singapore:2 numerical:1 effect:15 hand:1 moment:1 hydrodynamics:1 supposing:1 invariance:6 interested:1 identity:2 recent:1 lower:4 weakly:1 center:1 smallness:1 nevertheless:1 makes:2 well:1 roughly:1 obviously:5 shore:1 without:1 comes:1 components:3 easily:3 position:1 model:9 otherwise:1 left:2 spherical:1 distances:1 manifold:1 damour:1 less:3 kubyshin:1 obtain:6 vanishes:1 glikman:1 using:3 speed:8 nov:1 previous:1 polarization:1 gmn:1 density:3 photons:18 scales:1 other:4 extends:1 lett:7 easy:1 wimps:1 solvable:1 momentum:3 take:1 increased:1 lcp:4 demands:1 read:1 flrw:2 possible:2 dark:2 department:1 know:1 background:1 vacuum:5 press:1 world:5 gr:1 mod:3 modifications:1 necessary:1 like:1 kennedy:1 follows:4 sakharov:1 specific:2 detections:1 overdot:1 either:1 become:1 works:2 reduced:3 making:1 therein:1 exceed:1 because:1 classical:1 some:2 springer:1 respect:5 oscillations:14 nonzero:1 scale:5 describing:1 dimensions:2 lead:1 electromagnetic:13 avoid:1 measurements:1 does:2 propagating:3 schwarz:1 limitations:1 dimensionally:1 gruzinov:1 scientific:2 rescale:2 l1:1 expansion:3 although:1 mcgraw:1 super:1 properties:1 stage:2 constrains:1 stone:1 eef:1 bauch:1 would:2 origins:1 aguilar:1 universe:9 dd0:1 gabadadze:1 range:1 d69:1 consequently:2 gamma:1 homogeneous:2 rev:12 final:1 maxwell:4 into:2 washington:1 bound:6 nsf:1 right:2 references:1 einstein:5 proportional:2 prefactors:1 hep:1 additional:4 support:1 there:2 rcp:4 magnetized:3 dispersion:7 start:4 bianchi:2 forward:1 was:1 function:2 considerably:1 medium:2 complete:2 form:6 brane:4 but:1 lemaitre:1 volume:1 magnitude:2 aµ:1 russian:1 absent:2 minkowski:2 gravitational:1 variations:2 bounds:3 us:2 work:2 below:1 frequency:3 limit:11 today:1 demonstrate:2 problem:1 stages:2 similar:2 called:1 1tev:1 constant:7 giovannini:1 defined:4 certain:1 life:1 dvali:2 amelino:2 dη:2 formalism:1 internal:6 metric:5 physical:7 when:4 detail:2 mitsou:1 rewriting:1 ny:1 tin:2 valid:2 grb:5 test:2 qz2:1 briefly:1 intend:1 superposition:1 models:6 variation:2 a1:1 meaning:1 a2:2 additionally:2 ellis:2 n2:4 structure:3 loren:1 implies:4 coupling:3 dω:1 assume:4 requires:1 age:2 together:3 correspondingly:2 mass:8 nelson:1 time:23 4d:2 backward:1 starting:1 having:1 |
0704.0315.txt |@word partial:2 consider:4 results:1 constants:1 gs:1 reasoning:1 rd:5 simon:1 deterministic:3 λn2:1 recurrence:1 finally:1 th:1 under:4 stochastic:4 rise:1 ǫa:3 lyapunov:2 onsager:3 difference:1 exact:2 condition:4 did:1 positions:1 solution:7 ǫk:1 vector:1 science:1 small:19 eigenvalues:3 zm:1 zi:15 zj:12 zk:9 zd:1 measurable:3 tex:1 zero:1 further:1 substitute:1 linear:2 spectral:1 index:2 section:2 uniform:1 henceforth:1 above:1 sup:9 values:1 method:3 lifshits:2 coefficient:1 here:9 separation:1 ǫz:11 path:1 equations:2 z1:1 change:1 ukraine:3 remark:2 institute:2 poisson:4 domains:1 fourier:1 fujita:1 classification:1 zǫ:1 apr:1 vii:1 unabsorbed:2 decrease:1 total:1 use:1 additive:2 asymptotic:4 probabilities:2 positive:3 vol:4 imath:1 theoretical:1 more:1 formally:1 initial:11 operators:1 stable:1 known:2 iii:1 word:2 ml:3 equation:1 mk:1 machlup:3 flm:1 thin:2 following:19 proof:2 stated:2 process:3 assumptions:2 numbers:1 verlag:1 acts:1 tǫ:6 ordinary:1 dwi:1 parameter:3 product:2 algebra:1 max:3 after:1 applications:1 representations:1 fj:2 fn:15 outline:1 uǫ1:10 uǫ0:7 so:1 increase:1 holds:1 dx:1 kyoto:1 wiener:1 satisfies:2 lm:1 li:1 forms:1 fij:1 coordinated:1 main:1 non:1 fragment:1 integral:1 practice:1 spinger:1 introduce:1 now:10 eigenvalue:2 2f:2 inequality:3 l2:6 l0:4 domain:9 differential:5 series:2 hard:1 gaussian:1 literature:1 poincare:1 measure:8 our:1 special:1 matrix:1 space:2 rev:1 particles:1 suffices:1 math:5 asymptote:2 theory:3 moskow:1 estimate:2 beginning:1 definition:5 r1:2 phrases:1 similarly:1 v2:1 place:2 δij:5 probab:2 assign:1 first:1 xj:2 xk:1 xi:3 probability:4 variables:3 number:13 relations:1 researched:1 given:1 f1i:2 f1m:2 introduction:1 system:11 construct:2 fml:2 too:1 rǫ:9 academy:1 completed:1 recurrences:1 coefficients:4 diffusion:24 jump:1 normalizing:3 lim:1 gives:1 fluctuation:1 ann:2 curves:1 kotani:1 need:1 λl2:3 general:1 convenient:1 latter:4 note:1 k2:2 k1:2 k0:10 absorbed:1 take:1 algorithms:1 absorbtion:1 inequalities:1 shall:5 measures:1 connected:2 phase:1 eigenfunctions:3 deviations:5 ckc:1 considered:1 clear:1 typeset:1 points:3 exp:22 show:1 absorbing:1 random:6 relation:1 solutions:1 rough:1 principal:7 q0:6 indicator:1 depended:1 aǫ2:1 aǫ1:2 analytic:1 parabolic:5 finitely:1 get:3 fractional:1 famous:1 dz:10 words:1 international:1 dt:2 ds:10 processes:32 arxiv:1 expansions:1 l02:1 sojourn:3 investigate:1 statist:1 qk:4 fixed:2 satisfy:1 set:9 exists:1 national:1 around:1 depends:1 result:1 subject:1 fn2:1 yet:1 boundaries:6 boundary:4 conditions:2 weak:1 key:1 article:1 problem:11 both:2 f11:1 limits:2 many:8 region:1 according:4 σy:2 com:1 monograph:1 otherwise:1 rarefaction:3 point:1 simple:1 address:1 dimensional:8 proved:3 pr:2 pp:12 described:1 piecewise:1 ai:21 cauchy:3 asymptotics:5 interest:1 abstract:1 define:2 corresponding:2 determination:1 mail:1 c0:10 present:3 case:2 ǫb:6 multi:1 ǫd:9 jointed:1 estimations:1 will:4 suppose:1 behavior:1 situation:2 property:1 identical:1 played:1 almost:1 vk:11 thus:1 surface:3 equal:2 ii:2 ij:1 increased:1 different:2 make:1 siberian:1 member:6 parts:1 shao:1 european:1 ball:3 dǫ:4 absorb:1 v0:20 v1:1 moment:2 moving:1 purpose:1 infinite:1 analysis:1 solve:1 sets:2 position:2 stating:1 gsn:1 λs:1 λu:1 obtain:3 questions:1 λk:1 λj:1 λi:1 λn:7 λl:7 conclude:1 other:1 theorem:14 remaining:1 real:2 bik:1 using:1 ams:1 c1i:2 like:1 c1m:2 follows:1 either:1 arbitrary:1 works:3 often:1 ǫk0:1 proofs:2 dc2:1 ourselves:1 dc0:1 dc1:1 lead:1 investigations:1 kyiv:1 proc:1 conference:1 σij:21 journal:1 bi:3 expansion:12 substitution:1 cα:1 takes:1 about:1 central:1 theorems:7 o:2 bjk:1 functional:1 references:1 operator:5 methods:1 statistics:1 log:1 assumed:1 there:2 start:1 borel:1 handbook:1 inner:2 was:3 function:11 journ:2 complete:1 form:4 bǫ:3 sde:2 construction:1 convergence:1 ha:2 irreversible:1 applying:3 multiplicity:1 us:4 below:1 convince:1 limit:3 distribution:3 ua:2 taylor:1 constant:1 defined:6 ak:9 aj:11 am:1 ormander:1 denote:4 dξ:1 dν:1 au:3 formulation:1 graham:1 defines:2 functions:5 nk:1 nl:5 differentiable:1 no:5 when:3 vilnius:1 fs1:1 interested:1 role:1 mathematics:4 deviation:6 repeat:1 problems:4 mihlin:1 a1:2 a0:3 a2:2 bounded:2 kiev:2 algorithm:3 assume:3 investigated:2 time:1 n1:2 starting:1 |
0704.0316.txt |@word capaccioli:3 aring:3 facilities:1 francesco:3 consists:1 poorly:1 whose:1 flannery:1 under:3 worth:2 updated:2 rise:2 balcells:8 every:2 school:2 solution:1 indices:21 10k:1 10h:1 consistent:12 estimates:9 direct:2 second:4 estimated:3 lavers:2 salucci:3 blue:12 established:1 errors:16 ned:1 contributed:1 above:13 new:5 increasing:3 coefficient:2 simultaneously:1 ısica:1 equals:2 here:5 richstone:8 reported:7 adelman:2 active:3 logarithmic:4 obtained:14 study:6 symmetrical:1 suitable:1 changes:1 divide:1 classification:1 explained:1 total:15 univ:1 virani:1 unit:3 would:9 tabulated:1 noting:2 therefore:14 type:81 populations:1 curvature:1 aware:1 hole:23 locked:2 mb:6 mn:1 mk:3 example:2 indicated:1 give:5 conjecture:1 barbera:2 caution:2 magnitudes:2 absolute:7 end:12 provide:5 jochen:1 how:2 hot:3 symposium:2 merritt:3 description:1 after:9 kennicutt:2 davis:1 types:10 third:2 schneider:1 summing:1 davies:1 decreasing:5 order:2 restriction:1 fife:1 over:12 denotes:1 spheroidal:4 before:1 fit:6 better:3 fig:28 hidden:1 inventory:1 them:1 hawthorn:1 pseudobulges:1 band:22 effects:2 they:9 represents:1 brightness:2 classified:1 each:12 mean:2 telescope:5 independent:10 debattista:2 attenuation:1 laboratory:1 restricted:1 mccarthy:2 content:1 millennium:6 linear:13 surveys:1 standard:4 necessarily:1 formation:2 estimate:12 r1:14 cosmic:6 filter:1 incorporated:1 corrections:6 onto:2 already:1 aeronautics:1 primary:1 restrict:1 adopted:5 another:2 similarly:1 top:2 approximately:1 confirming:1 observations:4 capetti:1 rejected:1 binney:2 somewhat:1 parameterisation:1 distance:2 salvati:1 showed:3 princeton:1 project:1 matter:1 busarello:1 tonry:3 spectrum:1 raw:1 manner:1 seen:3 relatively:1 genuine:1 latter:1 predominantly:3 fitting:8 2006a:6 2006c:2 2006b:2 object:1 victoria:1 germany:1 assessed:1 alard:2 observation:1 metal:2 accounted:1 quantifying:1 sum:1 fitted:5 random:2 infrared:1 radii:2 thirds:2 tremaine:4 courteau:2 popescu:1 andredakis:5 intrinsically:1 rich:2 do:10 de:17 despite:1 report:1 dt:1 bar:2 acknowledgments:1 bad:1 release:1 reference:1 observed:5 result:6 best:7 techniques:2 exponent:1 propulsion:1 irr:1 symmetric:1 catalogue:9 drawn:1 approach:3 discovery:1 accord:1 terms:3 extend:1 nature:2 modify:1 however:15 fukugita:4 overestimated:1 suggested:1 received:1 cos:1 uncertainty:10 demanded:1 distinction:1 contribution:2 2nd:2 represented:1 quinn:1 trust:1 conference:1 three:12 been:22 much:3 expected:1 dynamically:3 applied:2 publicly:2 vagc:3 transformation:1 employ:1 near:1 gerhard:1 property:1 ii:1 granato:1 perform:1 cumulative:2 split:1 several:2 european:1 fairly:1 peaks:1 numerical:1 coevolution:2 hand:4 sextractor:2 centred:1 reese:1 centres:5 ky16:1 possesses:1 left:7 just:1 ρbh:33 quasar:2 newton:2 assigned:2 identify:1 shading:1 previous:2 phillips:1 had:2 spread:1 transformed:1 5h:1 gave:2 usable:1 bands:2 disagreement:2 possible:3 l89:1 unequivocally:1 indicative:1 apart:1 hunt:4 avila:1 2007b:11 2007a:22 www:3 right:2 old:1 proceeding:1 bottom:1 comments:2 core:10 predicting:1 properties:3 kinematical:2 o:4 plus:6 mahoney:1 efforts:1 slightly:3 soc:1 mbh:100 presence:5 down:7 reducing:1 often:2 support:1 width:2 joseph:1 way:2 resulted:2 was:16 happy:1 questionable:2 underestimated:1 medium:1 form:3 offer:1 denoting:1 ford:2 solar:1 removed:1 true:2 prevents:1 bounds:1 simard:4 kaspi:2 supa:2 panels:2 moore:1 computing:1 abstract:1 evidence:1 malmquist:9 gemini:1 exist:4 simulations:9 distributions:3 check:1 regime:1 mclure:20 no:11 nb:2 when:5 ng:5 pasadena:2 jong:1 dekel:2 papers:2 nr:4 picture:3 peebles:4 models:5 uniformly:2 marconi:6 3h02:1 billion:1 telescopio:1 interval:8 pseudo:8 time:3 robertis:1 slope:6 global:2 l11:1 mild:1 garching:1 grateful:1 dominguez:1 abundant:1 row:1 arcsec:2 uneven:1 depend:4 summarises:1 technique:2 finally:2 monotonically:2 marks:1 ledlow:1 caon:9 little:1 presented:6 did:3 yale:1 speculation:2 overlaid:1 tenths:1 upper:8 work:2 trend:1 literature:2 revista:1 appear:1 ara:1 current:2 suspect:1 falling:1 satisfy:1 shankar:13 perpendicular:1 galileo:1 along:3 appears:3 supplying:1 passbands:1 instituto:1 institute:1 ngc:5 commonly:2 hospitality:1 noticeably:1 studies:2 useful:1 convolution:1 logical:1 durham:1 shemmer:1 positive:2 visit:1 predictions:1 tightly:1 criteria:1 scope:1 australian:2 prep:1 today:1 acceptable:1 apparent:2 envelope:2 maximise:1 vmax:1 cases:2 effort:2 logarithm:2 graphic:1 reviews:1 vega:2 values:25 spuriously:1 believed:1 claim:1 figure:30 predict:3 december:1 arise:1 sample:54 weighting:2 refine:1 council:2 occur:1 14h:1 s3:1 s2:1 gim2d:14 s0:3 garzon:1 fourth:1 optimal:3 zotti:1 parameter:5 minniti:2 may:16 southern:1 explored:3 firmani:1 mag:35 mocks:1 representations:1 data:40 revmexaa:1 correlate:3 sq:1 sp:2 yielding:1 st:3 so:3 sm:1 sc:3 sb:2 sa:1 sd:2 exclusive:1 words:1 cutoff:1 raised:1 years:2 course:1 peterson:2 cole:1 observational:1 derive:3 thank:2 decreases:1 forms:1 ours:1 thereby:1 matches:1 tails:1 half:5 nor:2 possess:1 term:7 fabian:1 entirely:1 individually:3 square:2 significantly:3 ed:6 gaussian:7 gaps:1 wavelength:1 eq:7 gonzalez:1 shown:25 factors:1 furthermore:1 hammersley:1 increase:3 investigation:1 kent:2 formula:1 correct:4 shows:11 theory:1 variant:1 million:1 dependencies:1 california:1 org:2 e1:2 transition:1 turn:2 place:1 massive:2 first:3 opez:2 directly:2 spanish:1 size:3 given:22 derives:1 indicate:1 iau:2 white:1 gives:4 fraction:5 schwarzschild:1 continuous:2 astrophysics:4 than:55 coefficients:1 population:4 wide:1 l47:1 effective:4 l44:1 ersic:41 require:1 modelled:2 were:4 aller:8 ann:2 anu:1 say:1 allen:15 recover:2 any:3 conversion:1 odewahn:1 note:13 guhathakurta:2 emphasis:1 potential:3 mayer:1 multiple:1 trace:1 opposite:1 correlation:3 falls:1 printed:1 baryons:3 latex:1 surprising:2 considered:1 average:6 corwin:1 collister:1 ohta:2 vaucouleurs:3 typically:1 quantity:5 precise:1 show:6 bright:2 inconsistent:3 decompositions:2 corner:1 ratio:8 only:11 black:31 haugh:1 get:1 morphological:3 illingworth:1 distinctly:1 magorrian:3 secondary:1 median:6 summary:2 predicted:3 fainter:4 wyithe:7 reveals:4 imposing:1 maximum:4 relative:1 namely:1 extragalactic:1 label:1 colours:3 between:15 across:2 multiplied:1 vertical:1 jr:1 csic:1 come:2 lopez:2 originates:1 many:2 region:2 beckman:2 contract:1 beltran:1 reverberation:1 expression:2 nearby:1 stretches:1 grants:1 spans:1 moreover:4 considering:1 markedly:1 workshop:1 combined:5 6h:1 formed:2 stems:2 suspected:2 those:11 3c273:1 profiles:1 wadsley:1 situation:1 muchachos:1 cluster:1 bias:11 technology:3 different:7 erroneously:1 same:7 constructed:7 week:1 singapore:1 driver:53 driven:2 edges:1 colina:1 parameterised:1 roughly:4 without:1 components:2 ccd:3 model:10 blandford:2 justify:1 rest:1 thakur:2 mmax:1 samples:7 extensive:2 real:1 swin:1 around:3 digital:2 dark:2 mon:1 using:29 accepted:1 macarthur:4 mpc3:1 particle:1 faber:2 fully:1 multiplicative:3 downward:1 reduced:2 grouping:1 madrid:1 imaged:1 respect:1 trujillo:4 provided:5 ellis:3 maoz:1 critical:4 decomposition:4 provides:3 refer:1 measuring:1 biased:1 scientific:1 power:1 seconds:2 biases:1 ratios:3 found:1 sixty:1 comparison:4 central:6 bimodal:1 discussed:2 mutually:1 referred:1 perturbed:2 cambridge:2 redshift:5 references:4 determine:1 strip:1 log:46 her:1 area:2 normalised:1 removing:3 there:11 redshifts:1 dispersion:1 los:1 low:13 stars:4 series:3 aoki:1 peletier:8 complete:2 mnras:28 attainable:1 outskirts:1 applying:1 ωm:1 agree:2 obtains:2 detailed:1 ac:1 taylor:4 holes:8 aj:12 deep:1 general:1 au:1 file:1 gradients:3 moves:1 again:2 beyond:1 tight:1 poor:1 carnegie:4 includes:2 deriving:4 arcmin:1 peak:4 included:1 brandt:1 curve:4 mass:138 cores:1 accreted:1 starting:1 original:2 monte:13 kiuchi:1 caused:1 splitting:1 disc:29 cameron:2 disk:1 removal:3 dominated:1 ta:1 observatorio:1 mpc:38 straightforward:2 far:1 difference:9 washing:1 large:3 small:4 nucleated:1 pasa:1 ten:1 catalogues:1 past:4 zero:6 displays:1 further:3 what:1 opted:1 section:23 version:1 fractional:1 method:4 contrast:1 full:5 ranged:1 component:2 favourably:1 behaviour:1 andrews:3 equations:1 bulges:28 milky:2 swinburne:1 narrow:1 brightest:1 via:6 extinction:1 madgwick:2 eye:1 distinct:1 faint:2 comparing:1 taken:2 more:14 flat:3 corrected:10 emission:1 tested:1 zoccali:2 known:6 producing:1 dex:24 middle:1 science:1 equation:23 dev:2 remain:1 del:1 compare:1 cosmological:1 minimum:1 numbers:2 sense:1 exclude:2 axis:2 information:3 needs:1 rather:10 bimodality:4 simplicity:1 galactic:2 derived:35 mapping:1 horizontal:1 choice:3 quoted:1 departure:1 negligible:2 fundamental:1 turnover:2 remnants:1 help:1 held:1 paper:6 through:3 its:4 islam:2 style:1 l79:1 actually:2 late:45 absence:1 systems:7 isaac:2 risaliti:1 might:1 alter:1 good:2 matteucci:2 speculate:1 yu:3 products:1 always:1 level:5 radial:2 inherent:3 repeating:1 defects:1 weight:1 generation:1 energy:2 carvalho:1 expect:1 measurement:3 infinity:1 bluer:3 catalogued:1 φmax:1 since:1 research:3 flattening:1 hill:1 sloan:2 issue:2 plotting:1 upon:1 confidence:2 like:3 difficulty:1 reason:5 imaging:3 combes:4 assign:1 major:1 number:19 instances:1 inhibits:1 construct:3 miss:1 differ:1 jet:1 introduction:1 leading:2 least:2 listed:2 relationship:2 baryon:5 optical:1 authors:1 believe:3 std:2 kind:2 observatory:2 kindly:1 str:1 smbhs:21 fuelling:1 novak:2 alike:1 concentration:3 karl:1 lie:1 built:1 depending:1 astronomia:1 couch:2 majority:2 cropper:2 kawaguchi:1 towards:2 dunlop:20 effecting:1 most:2 bridle:1 smbh:97 nothing:1 mack:2 equatorial:1 deviations:1 clear:2 holtzman:2 km:6 unreasonably:1 part:1 exp:5 velocity:1 physics:5 particularly:1 relation:54 expressed:3 find:3 impact:2 dividing:1 boundary:1 distributed:1 surveyed:1 factor:11 corredoira:4 accurate:2 his:3 dominant:1 dependent:1 during:1 silk:1 exhibiting:2 continuum:1 arxiv:1 blanton:5 marleau:2 common:1 bars:2 set:3 ferrarese:9 achieved:1 declines:1 merluzzi:1 plausible:3 collectively:3 see:38 individual:3 close:1 various:1 danese:2 probably:2 conditions:1 available:3 recently:2 cabrera:2 spectroscopic:2 distinguish:1 bivariate:1 both:9 prescription:1 density:47 onofrio:3 point:1 asymptotically:1 corresponds:3 dimensional:1 simply:2 scottish:1 observatories:4 throughout:1 decline:2 described:2 tuffs:1 create:1 due:8 lahav:1 change:1 laor:3 dur:1 sanders:2 gas:1 gal:1 understand:1 representative:1 systematic:5 djorgovski:1 olszewski:1 exponential:9 solid:2 reliable:1 expanded:1 ρcrit:3 empirical:5 while:9 error:18 fernandez:1 kingdom:1 rix:3 vol:3 owen:1 apjs:3 grant:1 netzer:2 resulting:2 ray:1 higher:5 used:14 realm:1 recent:3 early:50 lower:12 database:1 maiolino:1 analysis:10 obviously:1 calibrated:1 redistribution:1 distances:7 subsamples:2 shape:3 inactive:1 world:1 letting:1 tables:1 cut:8 input:1 remaining:1 australia:1 propris:4 8πg:1 wings:1 formal:2 apj:30 modifications:1 follows:1 translates:1 flux:6 pertaining:1 methods:1 some:12 understood:1 l19:1 resonances:1 decision:1 measurements:2 integration:1 per:43 proc:1 inclination:1 bh:5 agreement:7 stem:1 step:2 percentile:2 plots:1 subtract:1 simulation:2 range:6 latetype:1 gamma:1 credible:1 seeing:4 significant:3 into:6 within:2 appropriate:6 contributor:1 realisation:2 uncertainties:8 statistics:1 measured:3 specifically:1 camera:1 considerably:1 rees:2 adjusting:1 properly:1 segregation:1 line:4 consist:1 up:4 us:1 marginally:1 uk:2 fluctuations:1 schechter:5 similar:1 constant:9 attenuating:1 corrective:1 defined:2 specified:3 single:3 stiavelli:2 graham:63 lemon:1 amounts:1 dashed:2 preventing:1 application:1 points:8 shallower:1 franceschini:2 mock:1 astrofisica:1 allowing:1 fisher:2 structure:3 agn:2 correlated:1 implies:1 blend:1 required:4 diffraction:1 depth:1 nasa:1 weights:5 incomplete:1 walker:2 jansen:1 requires:1 having:4 once:1 results:13 dmbh:1 edu:1 excludes:4 simon:1 monaco:1 sharples:2 young:1 factoring:2 contours:1 excluded:4 tegmark:3 include:3 confirmation:1 presently:1 entire:1 ryan:2 try:1 dealt:1 noted:4 smaller:7 imply:2 carlo:13 universities:1 index:19 m31:1 3k:1 consistently:1 cao:2 canarias:1 gilli:1 justification:1 lee:1 degree:2 respectively:4 l21:2 following:3 objects:5 l27:1 others:1 extreme:2 convert:1 parameters:8 larger:5 suggests:6 survey:6 makes:1 nearest:1 apr:1 photometric:4 s04:1 scaled:2 lenticular:2 decrease:1 apply:5 use:12 asymptotic:1 next:1 few:2 doubt:1 9ss:1 themselves:1 panel:15 reflects:1 mismatch:3 iii:1 integrating:8 averaged:1 erwin:7 obvious:1 sabc:1 drops:1 scatter:17 performed:3 links:1 szuszkiewicz:1 process:2 vercellone:1 high:14 united:1 regions:1 varies:1 elliptical:9 instead:2 kias:1 profile:6 merrifield:2 kormendy:6 tied:1 fits:6 ωbaryon:3 light:6 correspond:2 allow:1 subsequently:2 divided:3 bins:3 produces:1 insight:1 produced:1 including:2 galaxy:40 perfect:1 blake:2 efstathiou:2 la:2 ln:5 masses:35 lk:2 previously:1 degrees:1 windhorst:1 clusters:2 defining:1 pixel:2 greater:11 spikes:1 front:3 rotation:1 february:1 university:5 marzke:2 identified:2 magnitude:7 shortage:1 rising:3 beneath:1 doing:1 related:1 frequency:1 measure:1 our:54 hibbard:1 out:1 rev:1 integrated:1 red:8 galaxies:107 likelihood:1 hubble:12 recipes:1 frenk:1 times:2 assumed:2 hence:4 reaches:1 improvements:1 l30:1 nebulae:1 system:3 relations:5 their:37 accretion:4 final:3 ambiguous:1 acquire:1 suitability:1 too:4 overwhelming:1 haven:1 ipac:1 submitted:8 incompleteness:1 projections:1 fluctuation:1 curves:5 supercomputing:1 need:2 curved:3 cosmology:1 clearly:2 able:1 anglo:1 unless:1 centre:1 ugriz:1 who:1 eight:2 preliminary:1 intrinsic:10 why:2 volume:2 request:1 looked:1 away:1 fact:3 emerging:1 selection:1 blueward:1 supported:1 rotating:1 purely:1 kitt:1 rough:1 longer:1 agrees:1 decade:3 based:12 baryonic:2 should:10 jan:1 brighter:4 arcseconds:1 fuel:1 local:11 mgc:30 means:3 lected:1 overall:1 joint:1 passband:1 chips:1 evolution:1 densities:9 luminosity:18 contain:1 fixed:3 pertains:1 requirement:1 acquired:1 national:2 roque:1 truncating:1 operated:1 madau:2 luminous:2 mexicana:1 still:1 destiny:1 nuclear:4 quartiles:2 crude:1 invariant:1 neither:1 carollo:3 vignetted:1 comparable:1 ability:1 key:1 problem:2 declining:2 taking:1 equal:3 attributed:1 etc:1 figures:2 passing:3 teukolsky:1 otherwise:1 strongly:1 conclude:2 ab:1 table:26 addition:2 cent:33 treat:1 outliers:3 define:1 arises:2 liske:14 bulk:1 astron:1 present:2 astrof:1 associated:4 vanilla:1 value:20 will:5 eyeball:1 almost:1 thus:7 surface:2 helped:2 examined:1 against:1 perhaps:3 administration:1 cross:4 parts:1 units:2 difficult:1 http:3 disagree:1 effect:3 v2:1 variance:6 dust:5 roweis:2 colour:26 variety:1 well:6 residuals:1 undertaken:1 less:6 loeb:4 obtain:4 sources:3 geller:1 predicts:2 paul:1 field:1 sky:4 match:1 resolved:1 increased:7 increases:1 five:4 press:11 necessary:1 helpful:1 excluding:7 bulge:32 qualitative:1 δn:3 seyfert:1 hosts:1 therein:3 deviation:2 because:8 growth:3 simien:3 spheroid:20 broad:2 avoid:2 does:4 francoise:1 assuming:6 eso:3 sdss:5 ωbh:8 l1:1 stellar:7 host:6 although:2 offset:3 supermassive:13 h70:17 stage:1 about:5 actual:2 column:1 universe:7 introduces:2 dependence:3 widefield:1 predictor:2 alliance:1 h2:2 h3:3 h0:7 spheroids:12 additional:3 spiral:7 overestimate:1 quadratic:17 log10:2 skewing:1 function:73 north:1 but:13 astro:15 construction:1 ho:2 highest:10 ph:14 made:2 wise:1 evident:1 whether:6 wish:1 huchra:1 below:1 converted:1 limit:3 distribution:22 display:1 correction:7 denote:1 nazionale:1 dawson:1 functions:17 compared:1 calibration:1 other:7 compares:1 details:2 redden:1 repeat:2 star:4 variation:1 additionally:3 astronomy:4 exposure:1 vetterling:1 space:10 |
0704.0317.txt |@word isometric:1 manifold:9 they:1 qian:2 estimates:1 guofang:1 particular:1 results:1 perelman:2 oxford:1 spaces:2 generalize:1 λd:2 consists:1 satisfies:4 graduate:1 its:2 compact:6 adding:1 cln:2 now:3 group:9 thank:1 providence:1 fix:1 show:4 topological:1 ıa:3 opez:3 only:2 other:1 theorem:15 derivative:3 main:2 transformation:2 lx:5 me:2 his:1 aspects:1 depends:2 dg:3 between:2 ambrose:3 garc:3 corollary:1 every:1 words:1 press:1 using:1 replace:1 moreover:1 ds:20 helpful:1 term:1 necessary:1 like:1 follows:1 university:1 arxiv:3 arclength:2 ri:1 pullback:2 garcia:1 paper:2 yields:2 minimal:2 universal:2 each:2 λg:3 angeles:1 out:1 side:2 riemannian:5 upper:4 int:1 right:2 neighborhood:1 ser:1 ricci:21 edu:1 some:4 idea:1 identified:1 society:1 second:2 used:2 value:1 measure:2 discussions:1 peter:1 subject:1 naber:2 wylie:4 encouraging:1 tensor:6 cover:2 space:1 gradient:2 away:1 since:5 while:1 subclass:1 lott:3 geometry:2 similarly:1 state:1 vector:9 exposition:1 reader:1 formula:2 rn:1 supports:1 method:1 math:7 refer:1 satisfy:1 gives:2 evolving:1 earlier:1 terms:1 ma:2 mr:4 obtain:2 however:1 understanding:1 quart:1 lu:1 step:1 derive:1 formation:1 key:1 address:1 preprint:1 along:1 hand:3 lopez:1 change:1 differential:1 definition:2 remark:1 providing:1 last:1 deck:2 many:2 study:3 piecewise:1 allows:1 mathematical:1 american:1 plus:1 chow:2 consequence:1 california:1 andez:3 studies:1 sup:1 pp:1 first:1 comment:1 duke:1 perturbed:1 solving:1 mail:1 classification:1 point:4 apr:1 image:1 integral:1 bound:6 fern:3 weighted:1 references:1 noncompact:2 respect:2 xp:3 xq:2 shrinking:3 estimate:2 surveys:1 geodesic:3 additional:1 would:1 lemma:8 introduction:1 positive:3 there:1 ucla:1 appears:1 their:1 assumption:2 therefore:1 interest:1 98e:1 type:1 metric:4 define:1 function:3 2gp:1 complete:13 both:1 solitons:8 concerning:1 under:2 los:1 immediate:1 hh:1 parametrized:1 ricg:2 known:1 implies:1 copy:1 manifolds:6 must:1 case:3 distance:3 include:1 applying:3 msri:1 entropy:1 was:3 equation:3 work:4 smooth:4 zero:1 us:1 euclidean:1 below:2 obvious:1 ıo:2 phrases:1 following:2 aid:1 similar:1 subclasses:1 example:1 fernandez:1 proof:7 ca:1 satisfying:3 geometric:2 vol:2 flow:5 abstract:1 combining:2 thus:2 2gq:1 proven:3 ii:1 rio:1 proves:1 properties:1 ben:1 xh:1 any:4 partially:1 lie:3 completeness:1 no:2 studying:1 make:1 cambridge:2 ric:15 note:1 field:9 interested:1 arguments:3 petersen:1 becomes:1 department:1 mathematics:3 finite:7 hp:8 independent:1 hq:5 volumes:1 see:1 ni:1 max:3 norm:1 singularities:1 variation:1 includes:1 william:3 applications:2 authors:1 important:1 bounded:6 curvature:4 fg:5 infinite:2 acknowledgements:1 class:5 53c20:1 soliton:1 lower:2 myers:2 bakry:4 assume:1 well:1 emery:4 analysis:1 helv:1 completed:1 points:3 so:1 fundamental:9 wei:1 hamilton:4 sides:1 97e:1 |
0704.0318.txt |@word replacing:2 represent:1 gs:15 consider:3 gp:3 sousa:1 rev:13 results:24 produce:1 gx:1 leads:1 gf:9 scalar:13 gd:11 entropy:1 comments:1 ga:1 consists:1 gn:1 expressions:4 m2s:3 contributions:2 snm:4 row:3 regularize:1 whose:1 preserves:1 ρsp:3 calculate:3 mπ0:3 collisions:3 xiong:1 technique:3 tr:1 shall:1 presents:3 quasi:1 those:1 th:1 under:1 tf:8 ρsi:2 include:2 tc:5 chirally:4 divergent:4 brown:1 g2:4 advantage:1 far:1 rise:5 conditions:4 troitsky:1 splitting:13 umezawa:1 dispersions:2 mixing:3 affect:1 difference:2 bringing:1 condition:2 3m2π:3 four:2 mazumder:3 stated:1 presented:4 diverging:3 erratum:2 attempts:1 herbert:1 large:4 tang:4 small:7 3b:1 refer:1 noted:7 schroeder:1 limitations:2 mn:3 force:1 10b:1 consistent:3 10a:1 direct:1 approximation:4 threshold:1 zero:2 8i:2 evaluated:2 substituting:2 further:1 dynamics:9 estimated:1 substitute:1 theory:11 even:6 what:2 3x:3 appear:2 bdm:3 section:4 interactions:1 near:3 expressed:1 gi:3 above:3 values:3 3a:1 contributes:2 method:2 splittings:2 body:4 full:1 2kp:1 saperstein:1 exchange:4 respectively:11 here:23 strength:1 asymmetry:9 2m:23 free:5 separation:1 represented:3 dileptons:1 equations:1 appears:3 mosel:1 obtained:1 great:1 clarendon:1 institute:1 shift:1 study:4 studied:5 matsui:2 amount:1 resulting:1 suitable:3 studies:1 cancellation:2 involves:1 via:3 marginal:1 imσ:1 m2ω:3 viz:2 meson:9 circumvent:1 m2ρ:2 renormalization:5 voskresensky:1 use:4 charge:4 takes:1 would:4 dnm:1 m2π0:9 contains:1 finally:1 nucl:18 therefore:6 m2:8 taken:1 indistinguishable:1 forces:1 historically:1 diagrams:1 more:1 lowering:1 bidhannagar:1 excluded:1 successful:3 neglected:2 company:1 starting:1 appendix:5 surface:2 proceed:1 particular:1 cases:2 iii:2 saha:1 involve:2 account:3 tachyonic:4 permits:1 challenge:1 work:6 mi:13 modified:3 ρn:2 reproduce:1 ρp:1 ρs:2 renders:1 mp:3 ms:7 following:8 making:2 example:2 numbers:1 compare:1 enumerates:1 indicated:1 give:2 calculation:8 relativistic:10 rapp:1 india:1 weinberg:4 states:18 sphere:1 chin:1 performed:4 degenerate:1 tan:10 counting:1 occur:1 lamb:1 regularization:1 vanish:2 end:1 exπ:1 rather:3 discussion:2 breaking:1 feature:1 evidently:1 lepton:2 df:27 unrealistically:2 pure:2 dotted:6 kolkata:1 instead:2 roy:1 parameter:10 counterterms:6 product:2 mar:1 description:1 may:1 earlier:1 φ2s:4 hence:1 modest:1 gs2:3 fd:3 fe:1 ff:4 representations:1 wave:6 data:3 constants:1 shortcomings:1 short:7 effective:30 light:1 ρnn:1 counter:4 explicit:3 correspond:1 provide:1 so:2 correlation:1 representation:3 subsequently:5 order:6 gµν:7 typical:1 holds:1 nucleon:25 02m:1 developed:6 top:3 ef:1 years:1 produced:1 combinations:1 experiments:1 including:4 migdal:2 experimentally:1 argued:1 excitations:2 its:1 before:3 82m:1 37m:1 thank:1 decay:2 ln:42 interesting:3 masses:30 presence:6 decreases:1 li:1 mπ:65 production:4 fig:29 lp:2 renormalizable:3 energies:3 defining:1 dyson:1 non:18 motivated:1 university:1 2gs2:2 greiner:2 scaling:1 framework:6 cutting:1 effects:3 dmitriev:1 now:13 yu:2 realize:1 wambach:1 represents:8 term:18 gets:1 dirac:24 40b:1 40a:1 2ep:1 level:5 b3:1 gπ2:26 fπ:40 realistic:2 wong:1 mode:7 2b:3 each:1 instability:1 renormalized:1 toki:1 mean:7 heavy:3 en:8 ei:5 significantly:1 engel:1 generation:1 series:1 energy:38 hard:2 related:4 n2:1 q02:4 extended:2 static:1 iγµ:1 loops:2 our:3 happen:1 avoided:1 eq:43 ep:12 special:1 shown:9 perry:1 nonlinear:2 sector:1 space:4 restricted:3 furthermore:1 since:1 lagrangian:13 denotes:3 particles:1 re:1 dominated:1 com:1 denoted:4 get:3 ref:7 shows:1 39c:2 39b:2 39a:1 after:6 mρ:1 linear:5 8m:5 parametrization:3 mω:1 possibility:3 quite:5 ex:2 completely:2 york:1 put:1 intermediate:2 estimate:1 generate:2 temperature:1 diagram:5 pairs:1 interaction:12 chiral:13 starts:2 could:3 adjustment:1 length:3 relativistically:1 derivations:1 enough:1 corrections:4 quadratically:1 neglect:4 first:7 origin:1 already:1 symmetry:5 upper:8 afer:1 number:1 restrict:1 clear:3 done:1 relations:16 another:2 carry:1 compensated:1 chanfray:1 xia:1 given:16 perturbation:1 exists:2 indicate:1 introduction:3 leading:2 eqs:6 phenomenologically:1 πn:9 system:2 least:1 1a:2 their:2 1b:4 rates:2 too:2 calculations:4 scription:1 scheme:5 final:1 gives:9 gyulassy:2 fective:1 asymmetric:2 baryon:2 contribute:1 required:1 astrophysics:1 part:28 somewhat:1 authors:2 x2:1 eliminated:1 representing:2 than:1 coefficients:1 begins:1 distance:4 determines:1 showed:1 eq0:1 quantum:1 second:3 isovector:3 nakano:1 matter:25 express:1 determined:4 marriage:1 amplitude:1 were:6 treated:1 function:1 ev:9 enhanced:1 anm:16 correction:9 modern:2 spectrum:2 curves:5 gale:2 contrary:1 shell:3 peskin:1 close:1 need:3 clearly:3 depict:1 wu:1 sch:1 depending:1 self:31 responsible:5 ideas:1 note:2 k2:2 high:3 potential:2 absorbed:2 take:1 gρ:9 gπ:14 new:2 ericson:1 adopted:2 play:1 added:2 beyond:1 serot:15 normal:4 probed:1 quote:1 price:1 denominator:4 most:2 involving:6 plan:1 significant:4 retaining:3 baryons:1 analytically:1 furnstahl:8 consequences:1 considered:2 calculated:6 later:3 stronger:1 kn:13 physica:1 feynman:3 gω:2 optical:2 charged:13 physics:5 3q:4 fact:3 slope:1 particularly:1 show:2 implying:2 indicates:1 λp:13 relation:6 solutions:1 keywords:1 subtle:1 d4:4 d3:4 q0:6 sional:1 q2:21 q4:4 parameters:4 41m:1 written:4 should:1 only:15 explicitly:5 corresponds:3 subsection:1 factor:4 invokes:1 dn:2 cheng:1 invoke:2 means:2 dependent:12 mascheroni:1 dd:4 de:2 designated:1 expectation:1 pions:13 cannot:1 dx:20 invariant:5 report:1 differentiating:1 dq:2 liu:1 densities:6 fields:4 arxiv:1 yield:1 summary:2 investigate:1 paper:4 though:1 contain:1 analytical:3 identify:1 us:1 ignored:1 set:2 computed:1 fascinating:1 notational:1 imposing:1 frame:1 comparable:1 observed:9 mentioned:8 see:1 result:1 sea:19 fail:1 recently:4 theoretic:1 fails:4 invoked:1 qµ:1 nuclear:23 currently:1 malfliet:1 schuck:1 symmetric:2 state:2 various:12 closed:2 between:2 progress:1 subscript:1 approach:4 sections:1 nambu:1 terms:15 plicitly:1 biswas:2 importance:2 weak:1 focus:1 however:7 gratefully:1 reproduces:2 distinguish:1 come:1 suggested:1 both:9 c20:8 last:5 beck:1 many:4 region:1 readers:1 vanishing:2 iγ5:1 called:1 propagation:10 mev:9 dated:1 context:6 contribution:5 σp:20 expression:3 comes:1 σt:10 arbitrarily:1 strongly:1 adjusted:2 relevant:1 simple:2 seems:1 dutt:3 proton:6 except:1 pole:1 simply:3 cs:1 table:3 cq:1 pseudoscalar:2 kp:20 considering:3 ps:17 strong:2 pv:21 transformations:2 kinematic:1 addition:3 simplification:1 due:3 been:8 insensitive:2 much:1 equation:3 fluctuation:1 expected:1 ann:4 ls:4 addison:1 dilepton:3 θn:4 2ǫq:1 6g:1 γe:9 gas:1 6m:3 argument:2 bulk:1 weise:4 observe:1 determination:1 vacas:1 θp:5 c0:18 spin:2 present:21 case:8 unlike:1 pacs:1 solid:6 might:5 straight:4 kalinovsky:2 empirical:2 value:4 will:4 randrup:1 while:10 replaced:2 euler:1 behavior:1 revisited:1 horowitz:1 couplings:1 loop:12 redefinitions:1 larger:2 vf:2 almost:1 characteristics:1 myhrer:1 thus:1 lct:1 vn:10 iv:2 ii:4 itself:1 im:8 limit:8 pseudovector:5 k0:1 ig:6 qx:2 different:10 φs:19 develop:1 sensitive:3 generic:1 divergences:5 renormalize:1 accomplished:1 same:8 tells:1 shifts:1 parts:2 finite:7 pal:1 breaks:1 neutron:6 higher:5 status:1 used:3 singapore:1 upon:1 effect:13 hand:4 driven:3 ion:2 moment:1 4m:33 uses:1 divergence:1 hartree:1 07m:1 kif:2 recent:1 costa:2 lower:10 2gs:1 modes:6 minimize:1 makes:2 no:1 remain:1 without:15 dashed:6 very:2 model:24 latter:1 usual:2 publishing:1 construct:2 softening:1 qν:1 accurate:1 obtain:5 valuable:1 vanishes:1 oxford:2 mft:6 world:1 47m:1 scattering:7 previous:4 adv:2 cut:2 density:31 onward:1 had:1 fitting:2 discuss:2 add:1 causing:1 transformed:1 lett:8 tames:1 reason:1 iπ:1 mod:2 transformation:2 momentum:11 saturation:3 march:1 orbit:1 easily:3 ruivo:2 phenomenology:1 iγ:5 σf:5 iη:5 iζ:2 siemens:1 increases:1 vacuum:20 press:2 using:11 moa:1 antinucleon:3 rhic:2 apart:1 counterterm:1 like:5 particle:2 follows:3 collective:5 performing:1 oset:2 manifest:1 δl:3 yields:1 either:3 arbitrary:1 mishustin:2 nucleons:2 reduces:3 gauge:1 because:1 old:1 successfully:1 phenomena:1 b4:1 understood:3 productions:1 b1:1 b2:2 respect:2 ourselves:1 happens:1 solving:1 total:3 dense:1 excitation:2 m2π:50 measurements:1 integration:1 17f:4 mesons:2 tadpole:8 does:3 eliminate:1 economical:1 propagating:2 2a:2 measuring:1 reasonable:2 power:1 rep:2 pionic:5 tdf:2 expansion:3 tdd:3 wesley:1 bp:7 bq:1 although:2 found:18 described:2 imaginary:6 properties:7 panel:15 a1:5 about:1 extension:1 extending:2 suzuki:1 discussed:10 dependence:5 o:2 range:5 a2:1 kaiser:1 a5:1 suggestions:1 discusses:2 rho:2 inclusion:4 into:4 within:3 numerically:1 three:1 down:1 pair:3 appropriate:3 a8:1 elementary:1 binding:1 fixing:1 a3:1 pb:2 additional:1 kapusta:7 there:4 relegated:1 approximate:3 long:7 dispersion:26 start:4 pared:1 henning:1 low:2 forward:4 hooft:1 was:18 propagator:5 non2:1 lowest:2 vicente:1 medium:10 form:2 bµν:3 a9:2 some:1 a13:2 removes:2 but:5 hu:1 neutral:1 delta:3 implies:1 removed:2 true:1 made:1 evident:1 ωp:18 ρpp:1 ρsn:3 quantitatively:2 theoretical:3 below:3 fermi:9 sum:2 approaches:1 isospin:3 problem:5 changes:1 similar:1 ki:2 disappeared:1 obtains:2 detailed:4 nnm:3 adopt:2 constant:5 dp:2 af:1 int:1 ko:1 describe:2 remove:3 lasinio:1 denote:1 ap:8 scientific:1 governed:1 wavelength:4 trace:4 corresponding:3 formalism:3 approximated:2 physical:2 functions:2 compared:6 infact:1 nn:1 variety:1 dressed:1 when:3 detail:1 schwinger:3 field:19 jona:1 other:6 role:1 details:1 branch:1 95m:1 igj:1 igi:1 conclusion:2 a15:1 a14:2 a11:1 a10:2 calculating:2 a12:1 models:2 vertex:5 subtraction:2 deriving:1 vp:11 important:1 nucleus:4 a4:3 a7:2 a6:3 included:2 describing:2 omega:1 hadrodynamics:1 structure:1 acknowledgment:1 condensation:2 regime:1 coupling:42 pion:92 fπ2:1 assume:1 sigma:2 walecka:6 curve:14 hnl:3 together:1 original:2 2mπ:1 implied:1 mass:26 time:1 walker:1 recalled:1 nuclei:6 requires:2 borrowing:1 virtue:1 |
0704.0319.txt |@word consider:2 similarity:1 riedel:1 magnetic:20 focus:1 leads:3 controversial:1 localized:2 simon:1 shanghai:3 charge:45 tm:4 td:5 applied:1 zhang:2 decreases:3 rise:1 results:2 electron:14 cheung:1 kleinsasser:1 level:14 turns:1 ǫd:5 guo:1 evy:1 kondo:10 exhibits:1 noted:3 fabian:1 foundation:1 renormalized:2 consistent:1 sign:1 approximation:1 second:1 enclosed:5 odd:9 even:10 mσ:6 sinitsyn:1 section:4 current:73 causes:2 above:2 new:2 occupation:1 method:2 hasn:1 degree:2 respectively:2 component:3 here:1 believed:1 asymmetry:1 china:2 mes:1 address:1 strong:1 equations:1 appears:1 change:3 obtained:1 dorin:1 shift:1 study:1 studied:2 periodic:1 resulting:1 chang:1 makes:1 plotted:2 useful:1 projection:1 apr:1 explained:1 altshuler:1 jˆz:1 jˆy:1 jˆx:1 decrease:1 total:5 manipulate:1 wang:1 takes:1 positive:1 century:1 anda:1 negative:1 cho:1 calculation:4 program:2 therefore:4 taken:2 becomes:1 operators:6 excellent:1 known:1 cases:1 iii:2 origin:1 stafford:2 citro:1 mf:1 tunnel:1 science:2 values:5 following:3 sinusoidal:1 control:1 renormalization:1 give:4 process:1 discussed:1 states:2 indicates:2 numbers:2 counting:1 provide:1 acts:1 feature:1 write:1 friesner:1 gate:1 ryu:1 parameter:2 sin:3 goldbart:3 mat:2 flip:1 may:2 thermodynamic:1 value:5 wave:1 response:1 introduced:1 natural:1 outline:1 effective:5 resemble:1 egs:2 bing:1 so:41 sinova:1 order:2 ding:2 ruckenstein:1 jungwirth:1 interpreted:2 experiments:2 existence:1 still:1 its:3 affleck:1 chandrasekhar:1 interesting:1 jiao:1 boson:6 actually:1 absence:2 systems:3 decades:1 non:1 thereby:1 murakami:1 fig:14 introduce:2 band:1 effects:2 they:1 das:3 now:1 semiconducting:1 hall:2 represents:1 february:1 finite:7 university:2 presented:1 magnitude:3 mode:2 crossing:4 found:1 side:2 constraints:1 en:1 significantly:2 ej:1 mesoscopic:13 eg:2 ef:3 ea:1 related:1 inhomogeneous:1 literature:1 interplay:1 quantum:3 our:4 ev:1 out:1 shown:4 schlottmann:1 matrix:1 space:2 rounding:1 since:3 rev:31 semiconductor:6 attracted:1 sustain:1 ra:1 culcer:1 formula:1 induced:1 ref:3 shows:5 exactly:1 datta:2 theory:2 barrier:1 discontinuity:2 quite:1 davidovich:1 reason:2 term:3 besides:3 romeo:1 generate:1 e2:1 definition:1 interaction:8 derivation:1 imry:2 used:1 motion:3 turn:1 incorporated:1 hence:1 onto:1 first:1 ud2:1 already:1 features:2 symmetry:2 number:9 dong:3 ring:36 given:5 rewritten:1 introduction:1 system:19 occupancy:1 zσ:6 paramagnetic:2 variational:2 dolan:1 accompany:1 way:1 transistor:1 hui:1 uttiker:2 oscillate:1 jump:2 kind:1 b75:1 brady:1 zero:4 annihilation:3 future:1 doubly:1 amplitude:1 solely:1 distinguished:1 displays:1 behaviors:1 lowest:1 spectrum:2 dash:2 occupied:5 strength:15 self:1 ideal:2 potential:1 take:1 degenerated:1 play:2 unoccupied:1 electric:1 shall:2 cmσ:9 singlet:1 detect:2 gallagher:1 phase:2 intrinsic:1 manifested:1 considered:2 calculated:2 adopt:1 coincides:1 talents:1 mailly:1 electrons:18 sun:2 velocity:1 oscillates:1 physics:1 dot:2 drastically:1 supported:1 minimizing:1 relation:1 d2:2 find:1 gefen:3 ground:6 based:2 knowledge:1 parameters:4 written:2 texture:1 should:1 only:1 explicitly:2 factor:1 expectation:2 2me:1 during:1 lei:1 meir:2 increasing:3 approach:2 arxiv:1 summary:2 investigate:1 paper:4 zutic:1 predicted:3 set:5 exists:2 acquired:1 national:1 j0:5 spintronic:1 observed:1 see:2 radius:1 recently:2 project:1 governale:1 αr:22 interacting:2 ways:1 hybrid:1 circulating:2 state:8 various:2 closed:1 between:4 conditions:1 terms:4 jz:12 spacing:1 jv:1 attention:1 entin:1 kotliar:1 ud:1 suppressed:2 both:4 cos:3 conclusions:1 attributed:2 σy:3 σx:3 und:1 dated:1 context:1 expression:1 σv:4 tong:1 corresponds:2 coordinates:1 lagrange:1 respect:1 described:2 tuning:3 due:4 been:6 chapelier:1 treat:1 interest:1 expected:1 splettstoesser:1 empty:2 define:1 versa:2 benoit:1 suppress:1 essentially:1 external:3 spin:59 present:1 case:8 pacs:1 solid:4 might:3 ǫm:4 96a:1 will:7 replaced:2 tunneling:1 landauer:1 coupled:6 almost:1 thus:2 site:1 surface:1 iv:2 ii:3 characterize:1 vs:4 cond:2 fermion:2 currents:9 orbital:2 different:5 twofold:1 acknowledgments:1 lett:17 same:2 klapwijk:1 nagaosa:1 units:2 constructed:1 berry:1 investigated:3 slave:5 i0:5 numerical:1 effect:17 sarma:1 levels:4 kim:1 changing:1 niu:1 threaded:1 framework:1 changes:1 ncet:1 well:4 patterns:1 without:4 precesses:1 temperature:1 position:2 model:3 diamagnetic:2 arising:1 restore:1 when:3 obtain:2 shape:1 voltage:1 abrupt:3 adding:1 cm:14 field:7 yu:1 regarded:1 macdonald:1 ketchen:1 vϕ:1 easy:1 diagonalization:1 electrical:1 johannesson:1 momentum:2 real:1 around:2 depends:1 possible:1 spinorbit:2 mod:1 loss:5 phenomena:2 imposed:1 like:1 particle:2 follows:1 flux:17 essential:1 webb:1 parity:2 shen:1 equates:1 creation:3 some:1 bouchiat:2 pσ:10 oscillations:2 transport:2 nonzero:3 clockwise:1 xie:2 opposite:1 extensively:1 rashba:7 eliminate:1 morpurgo:1 ulicke:1 jumps:5 anticlockwise:1 hilbert:1 panel:1 conducting:1 constraint:2 freedom:2 introduces:1 dependence:2 o:1 2i:1 important:2 wohlman:1 act:2 mean:3 presence:5 splitting:1 montambaux:1 three:1 down:2 fσ:12 determine:1 operator:7 consecutively:1 anderson:11 additional:1 measured:2 there:4 hef:2 appl:1 bosons:1 lot:1 kang:2 valley:1 was:1 energy:12 iˆ:2 function:6 forming:1 but:1 hu:1 cloud:1 balatsky:1 hc:1 line:14 highest:1 hd:4 coupling:37 2πa:2 applying:1 p2σ:1 characteristic:2 up:2 below:1 un:1 fermi:3 fluctuations:1 problem:1 expect:1 shih:1 constant:1 b64:1 defined:1 certain:1 abstract:1 singly:1 dσ:7 single:3 exist:2 hamiltonian:12 physical:1 compared:2 completeness:1 dotted:6 dashed:4 nd:1 multipliers:1 application:1 other:2 role:2 normal:1 department:1 ferrari:1 shin:1 polar:1 persistent:60 a2:1 peak:1 dissipation:1 meijer:1 impurity:24 ago:1 regime:2 auxiliary:2 coulomb:1 vice:2 curve:3 orbit:5 4n:4 |
0704.0320.txt |@word similarity:7 four:1 asian:1 francesco:4 whose:6 γx:1 attracted:1 paris:3 γn:4 under:2 worth:1 divergent:2 risk:2 dell:1 every:1 summarized:1 fractal:1 solution:27 convenience:1 disciplines:2 miller:3 consistent:2 pulse:1 approximation:6 second:7 rigorous:1 even:5 established:1 errors:1 selected:1 above:12 new:17 ever:1 coefficient:1 evolving:4 notions:1 here:14 met:2 κx:1 path:3 studia:1 obtained:16 chaotic:1 economics:3 zanichelli:1 symmetrical:1 adopting:2 suitable:4 changes:3 wyss:2 explained:1 replace:2 univ:2 linearly:1 derivatives:14 would:2 negative:3 noting:2 therefore:7 care:1 type:13 annotations:1 skewness:5 standardized:5 solitons:1 holt:4 berlin:4 correspondingly:1 must:3 ii:5 springer:5 work:2 mi:1 eories:1 erd:4 lincei:1 erf:7 concepts:1 cond:3 root:1 example:4 unilateral:2 indicated:1 table:2 absolute:5 hoc:1 turn:6 provide:10 how:3 sixties:2 ordinary:8 transforming:1 after:5 jumping:1 summarize:1 law:11 constants:3 schneider:5 erreurs:1 green:18 first:18 order:69 restriction:1 interpretation:5 devote:1 over:2 frequency:1 satisfies:5 fis:1 exhibits:4 easier:1 versus:6 them:4 they:6 singularity:1 represents:7 queues:1 each:1 higher:2 mean:7 bateman:4 financial:3 series:20 used:5 restricted:1 dsn:1 re:3 reader:4 interchanging:1 linear:8 hilfer:1 abramowitz:2 surveys:1 standard:23 norming:1 incorporates:1 r0:1 starts:1 erfc:7 generalizations:4 already:2 economists:2 relations:2 another:4 illustrate:1 heights:1 zaslavsky:1 zeros:1 airy:2 tool:1 took:1 peculiar:2 xj:6 showed:1 divisible:1 zero:4 project:4 matter:1 powers:4 modern:1 seen:1 contents:1 convenient:1 latter:1 responsible:1 though:1 birkh:1 extending:1 germany:1 professor:1 points:2 rivista:1 sum:2 reprinted:3 dover:1 nπ:3 random:39 solutions:24 tacitly:1 d2:4 quoted:2 coefficients:1 letnikov:3 dn:9 plate:2 dm:5 dk:1 di:1 econophysics:3 de:7 watson:1 dx:15 dy:3 report:1 dt:12 du:3 dr:3 ds:1 dp:1 analytical:2 nα:3 thanks:1 pioneering:1 fascinating:2 kolmogorov:3 result:7 w0:1 techniques:1 said:7 exponent:3 symmetric:36 approach:7 preserve:1 terms:17 extend:1 nature:1 confusion:1 however:8 ranges:1 essentially:1 0t:1 reported:2 0z:1 conclusions:3 marichev:3 variance:11 contribution:2 monograph:2 khintchine:4 appeared:3 2nd:4 polynomial:1 rend:1 commutative:1 three:2 been:8 spread:2 interest:5 basic:8 expected:3 eastern:1 concerning:1 applied:4 srivastava:2 nski:2 laha:2 fubini:1 calcul:1 iκx:3 property:11 ir:1 obeying:1 characterize:1 ik:2 experts:1 engler:3 luchko:2 integrodifferential:2 things:2 cumulative:2 freie:1 complex:5 split:1 several:2 erdelyi:1 independent:11 numerical:6 unimodal:1 publ:1 auser:1 potentials:3 normalization:2 prescribed:2 fourier:20 academic:4 left:6 just:2 mandelbrot:7 assigned:2 transforms:5 previous:2 infinitely:1 wright:10 belongs:1 transformed:5 easy:1 iκ:4 possible:2 possibly:1 unique:1 desire:2 arbitrary:4 lapses:1 differencing:2 www:4 right:3 bromwich:1 cnr:2 normal:4 fox:5 viscoelastic:1 unit:1 gnedenko:3 strada:1 meanings:1 taqqu:5 properties:10 anomalous:2 o:6 canonic:10 ensure:2 considerations:1 primitive:1 statements:1 ecanique:1 formerly:3 presence:2 lois:1 pair:7 acad:1 amsterdam:1 wλ:3 methods:3 support:3 initial:17 approximate:2 width:1 ruggeri:1 physicists:1 way:5 was:9 sofia:1 form:16 attempted:1 becoming:1 converse:1 denoting:4 heat:3 true:1 yorktown:1 considered:2 atti:1 later:2 proved:2 abstract:2 convergent:6 dξ:5 exist:1 dζ:2 accounting:4 gorenflo:15 distributions:54 check:1 dα:13 nl:1 integrability:1 no:4 whereas:3 generally:1 vanishes:2 interested:1 role:3 papers:7 roll:2 models:9 variable:33 longer:2 assume:6 dτ:11 pseudo:1 dσ:3 time:60 n0:1 n1:3 treatises:2 concept:1 remarkable:2 particular:19 brownian:1 12b:1 leads:2 devoted:2 inverse:6 technique:4 editors:4 passage:1 finally:1 infinitesimally:1 analogous:1 geometrical:1 riemann:8 presented:3 turns:17 standards:1 solved:4 recall:7 quick:1 unaware:1 funzioni:1 upper:1 oscillation:3 riesz:9 sign:3 pls:3 substitute:1 annali:1 celebrated:1 annals:1 international:1 appeal:1 satisfy:2 french:1 xλ:1 groups:1 along:2 teaches:1 appears:3 change:1 shift:3 bol:1 usually:3 useful:1 convolution:4 prefer:1 1st:6 prove:3 sake:1 positive:29 suppl:1 france:1 memory:2 introducing:8 eν:6 appendix:11 cases:12 eα:13 logarithm:1 ibm:1 originally:3 modified:1 cism:3 values:9 probabilit:1 growing:1 making:2 trans:1 figure:6 confused:1 topic:2 pν:1 occur:2 verlag:5 swedish:1 regularization:2 s2:1 s1:3 write:2 rubin:2 siam:2 guarantee:2 parameter:14 nye:2 mat:5 may:6 dx2:2 applications:10 date:1 representations:3 data:8 natural:7 whenever:1 explicit:5 st:4 inform:1 so:21 sm:1 representation:11 talk:1 typical:1 exclusive:2 noteworthy:6 indeed:6 pointed:2 blumen:1 soc:6 stability:10 course:7 statistical:3 differs:1 equip:1 still:3 thomas:1 derive:7 sν:4 interesting:1 sα:9 encompasses:1 forms:2 attraction:5 main:1 decades:1 non:8 finance:2 processes:10 introduce:2 scaling:8 tails:2 half:2 now:16 hall:3 possess:1 inversion:9 equality:1 name:1 em:3 domain:12 revised:2 ea:1 gaussian:18 ez:2 es:1 shown:2 3rd:1 space:47 furthermore:9 looking:2 replacing:3 investigation:1 rational:1 formula:12 shows:1 klafter:1 theory:15 governing:1 org:4 e1:4 e2:3 derivation:2 transition:3 british:1 motion:1 pollard:2 leffler:12 place:1 gordon:1 nouvelles:1 nersesyan:2 origin:3 xk:1 xn:2 variables:17 potter:1 transform:42 simplified:1 specifically:2 carry:1 given:13 necessarily:1 uchaikin:2 convention:1 cite:1 speaking:1 editor:3 mostly:2 wellbehaved:1 moscow:1 continuous:6 x2:8 x1:4 than:2 specify:1 unfortunately:1 require:2 future:1 t2ν:3 were:2 pre:1 san:2 argument:6 generalization:11 recover:2 any:14 note:30 sciences:1 potential:2 take:3 formulas:2 begin:1 differences:1 opposite:1 analyse:1 falls:1 algebraic:5 remarks:1 especially:1 dordrecht:1 adopt:3 duplication:2 laws:2 show:2 slow:4 conduction:1 written:2 only:13 going:1 viewpoint:1 get:4 dekker:1 expectation:2 ssr:1 aα:3 cannot:2 median:2 summary:1 characteristic:11 london:3 ignored:1 connections:1 namely:4 college:1 stanley:2 αu:1 subsequent:3 review:2 definite:1 lukacs:3 correspondances:1 bureau:1 between:9 reading:1 αn:2 notice:1 comm:1 article:2 come:2 irnerio:1 x2n:2 many:2 region:2 according:8 laplace:37 propagation:1 present:1 expression:4 among:2 stretched:1 constant:5 mainardi:37 wien:3 workshop:2 6a:2 6b:2 matematika:1 observe:3 lunds:1 those:6 case:21 chap:1 dκ:1 taking:4 kilbas:5 marcel:3 fama:2 technology:1 different:10 cea:1 approximatively:1 media:1 fractals:7 same:7 physical:4 investigated:1 singapore:2 invariance:1 totally:1 without:1 solve:1 model:7 being:3 when:21 stegun:2 valuable:1 ch:3 eorie:2 heuristic:1 villars:2 treatment:2 pitman:1 ross:3 real:15 around:1 easily:15 read:2 delhi:2 sums:3 early:3 grid:2 using:23 reduces:2 either:4 integrals:10 stationary:1 specifies:1 specified:1 provided:6 dimensions:3 eiκ:1 pioneer:1 provides:10 moderate:1 bessel:1 refer:9 scientific:1 power:10 equivalent:3 found:3 refers:2 2n:5 complementation:2 om:2 central:2 discussed:2 mutually:2 obeys:1 os:1 cambridge:5 communication:1 image:3 dissipation:2 references:5 elementary:1 nowadays:2 fast:3 log:2 area:1 assumed:5 strictly:6 there:10 philadelphia:1 start:1 cosine:1 assumes:1 complete:1 regard:1 applying:2 liouville:8 agree:5 metzler:1 taylor:2 ad:1 ai:5 certain:5 general:11 again:1 completeness:1 field:8 valid:5 spatial:2 mathematics:6 briefly:1 symbol:7 bounded:4 sulle:1 bilateral:1 mass:2 firstorder:1 signalling:19 misnomer:1 original:2 represent:3 sci:2 consider:13 chinese:1 gupta:1 generalize:4 gs:11 expressions:6 disk:1 griffin:1 equivalence:1 baillie:2 tn:19 tail:4 tm:1 tk:3 th:4 stochastic:6 straightforward:3 far:1 rod:1 rc:1 qˆα:1 print:4 difference:2 condition:6 treating:2 issue:1 t2:1 t3:1 t1:1 large:3 small:1 rate:1 further:1 canonical:1 what:2 section:6 version:3 dtν:4 fractional:140 method:1 edited:2 full:1 behaviour:7 relaxation:3 equations:22 conviction:1 nth:1 geophys:1 allows:3 published:1 action:1 uniquely:1 via:1 followed:1 research:2 select:1 takes:2 probabilities:6 contains:1 comparing:1 archives:1 astr:1 minor:1 more:9 kochubei:3 operators:4 corrected:1 impulse:1 varying:2 known:22 science:4 equation:89 des:4 del:3 dec:1 compare:3 stated:3 νz:1 states:1 unbiased:1 numbers:4 sense:4 yα:1 νn:1 axis:7 needs:2 enlarge:1 foreseen:1 acta:1 simplicity:1 fu:1 wiley:5 derived:6 plane:3 saxena:2 waves:2 response:1 fn:3 interpolates:1 fundamental:31 developed:1 soon:1 held:1 paper:8 through:3 signs:1 y1:1 existence:2 kinetic:1 y2:1 its:24 interquartile:1 fruitful:2 late:1 systems:1 yi:2 yk:1 yj:11 saichev:2 yn:1 propose:2 arsenal:1 framework:2 yu:1 2t:2 2u:6 finite:9 hereafter:1 2r:1 mathematician:4 e2ν:4 2x:1 2d:2 courses:3 2a:1 2b:1 2m:3 universit:2 characterized:3 referred:5 heavy:1 formulate:1 osaka:1 reduce:2 idea:2 extended:2 expect:1 quantum:2 integro:5 nuovo:1 since:19 denotes:20 hill:3 izv:1 denoted:2 paradisi:3 evaluation:1 occurs:2 weron:2 samorodnitsky:5 put:2 beginning:1 guest:1 definition:13 pairs:2 retained:1 consequence:3 exhibited:1 major:1 probability:37 number:12 instances:1 enlarged:1 temperature:1 introduction:6 leading:1 least:1 statement:1 jeh:2 scheme:2 recovered:2 part:3 authors:4 translation:4 cosh:1 convinced:1 center:1 diffusion:83 king:2 kind:2 dtm:1 bolyai:1 determined:1 treated:5 77b:1 generalizes:1 jour:1 depending:4 lim:3 speculative:1 k1:3 generalized:3 analogy:2 brace:1 play:1 english:7 most:5 assoc:1 plan:1 viscoelasticity:1 singled:1 tν:5 tλ:1 clear:1 kh:1 coincides:1 tγ:4 km:1 tα:7 humbert:2 exp:17 physics:5 sector:1 cdf:2 phenomenon:2 anelastic:1 relation:6 fine:1 find:3 parameters:3 distributed:2 transcendental:3 factor:1 circle:1 his:2 notation:15 albeit:1 express:3 radiophysics:1 shared:2 combinations:1 reprint:1 alexander:1 budapest:1 continuum:4 arxiv:3 common:8 zolotarev:6 set:2 ser:2 achieved:2 unpublished:1 culture:1 see:45 ark:1 uδ:1 uα:2 conditions:5 recently:3 complementary:2 attention:2 vanishing:4 distinguish:2 both:5 collaborators:1 solely:1 pdf:32 whole:3 finds:1 point:8 simple:2 corresponds:3 dimensional:3 simply:1 pr:3 kernels:1 ensures:1 described:1 due:2 pc:1 ensured:1 pj:13 pk:1 pl:2 addison:2 partly:1 remark:1 prices:2 albeverio:1 p2:1 p1:2 exponential:11 solid:1 evaluated:1 behavior:1 error:4 loop:1 engl:1 century:1 vol:6 reads:5 italy:2 lengths:1 barnes:2 belong:1 2νn:1 interpolation:1 literature:1 comprehensive:1 moment:2 purpose:1 recent:5 lower:1 takayasu:3 analysis:11 solids:1 gsd:7 salvatore:1 stating:1 shape:3 world:1 alternative:3 λn:1 tables:5 kluwer:1 readers:1 source:2 theorem:4 transformation:1 evaluate:2 integer:18 formal:5 semi:5 shaped:1 follows:2 separately:1 yields:3 mcgraw:3 essential:3 terminology:3 mathematical:4 often:2 discrete:7 some:10 back:1 understood:1 examples:2 scale:5 shall:5 integration:1 per:1 providence:1 prob:3 jumps:3 bo:2 agreement:2 restrictive:1 step:3 br:2 plots:2 gauthier:2 integers:1 pα:12 simulation:2 range:6 oldham:3 consequently:5 gamma:3 vsp:1 computational:1 into:3 within:1 integral:27 proportional:4 statistics:2 classical:8 few:1 long:3 u2:1 handbook:2 analyze:1 sections:3 himself:1 great:2 gauss:8 properly:5 russian:8 line:5 goyal:1 infn:2 paolo:1 ux:1 2πi:3 ut:2 mantegna:2 up:1 us:13 uk:4 uj:1 fluctuations:1 called:9 associated:3 defined:10 pseudodifferential:2 chao:2 transl:3 single:2 associates:1 physica:1 defines:2 dashed:2 application:3 nat:2 department:2 conventionally:1 sided:7 problems:16 generated:3 sides:1 independently:1 implies:4 potters:1 required:3 kinetics:1 saclay:1 notion:2 walker:1 harcourt:1 requires:4 partial:1 gr:3 edi:1 edn:11 results:7 eds:6 gc:25 podlubny:2 uniqueness:2 stable:88 breach:1 unabridged:1 implicitly:1 wave:5 putting:1 entire:4 notes:2 deals:1 evy:20 noted:4 zn:2 crow:4 arnimallee:1 jump:1 fold:2 odd:1 index:16 3y:1 expressed:7 henceforth:2 poles:1 exercise:4 led:1 degree:1 respectively:9 highly:2 following:16 explore:1 les:1 implicit:1 scienze:1 technical:1 suggests:1 fujita:2 named:4 formulated:2 apr:1 scaled:1 feller:21 names:1 apply:1 causal:4 use:8 asymptotic:13 recalling:5 calculation:1 uss:3 reciprocity:2 sort:2 started:1 becomes:2 isac:2 smirnov:2 transient:1 normalized:5 account:2 thin:1 meet:1 proof:2 samko:4 do:1 process:1 high:1 lorentz:1 tan:7 gcd:10 decaying:1 holds:2 instead:1 sin:10 stock:1 eatoires:1 collection:1 engineering:1 1998b:2 1998a:2 correspond:2 tome:1 extremal:10 allow:1 lα:1 discussion:1 evolutionary:1 interpreted:7 including:4 mentioned:1 chemical:1 le:1 decay:11 choose:1 derivative:51 defining:1 freeman:1 pure:1 subtraction:1 transparent:2 university:4 sufficiently:4 l2:2 circular:1 prevailing:1 homogeneous:3 weyl:1 chung:5 doing:1 related:18 operator:15 books:3 interplay:1 our:18 pareto:1 special:14 out:31 res:1 chaos:2 gˆ:7 behaviours:1 istituto:1 lecture:1 electronics:1 math:11 statist:1 hankel:3 completely:1 york:15 bouchaud:2 monographs:2 geometry:1 sinica:1 counterpart:2 length:1 ltd:1 hence:1 rudolf:1 south:1 mittag:12 loi:1 suffix:1 precisely:1 management:1 πd:2 hyperbolic:1 bologna:4 adopted:2 zσ:2 πr:1 their:8 πx:1 πy:2 behaved:3 exactly:1 branches:1 july:1 cimento:1 limiting:3 appealing:1 providing:4 exhibit:1 chapman:1 unwald:3 need:5 studying:1 concerns:3 subject:5 calculus:26 lectures:3 unless:1 who:6 caputo:16 connected:1 definitions:2 class:5 pˆα:4 graphs:2 fact:18 12a:1 emerging:1 charles:1 manchester:2 trivial:1 q1:7 q2:2 based:10 knowledge:3 basel:1 should:4 means:6 legitimate:1 evolution:4 onesided:1 densities:2 differential:26 expansions:5 nauk:1 contain:1 fixed:3 view:4 requirement:1 exists:1 approximating:1 hα:3 edition:4 computer:1 kertesz:1 state:1 difficulties:1 invariant:1 boundary:4 publishers:1 ends:1 importance:1 key:2 amer:4 problem:38 restrictions:1 instant:3 limits:1 invited:1 la:1 equal:2 attributed:1 admit:2 ck:3 cj:3 relevant:6 cn:5 cl:1 cf:7 walk:12 tonelli:1 sequences:1 respect:5 basing:1 addition:3 breiman:2 copies:2 cauchy:34 slowly:1 treat:1 define:2 corresponding:17 lecce:2 sufficient:2 cos:12 spanier:3 kondor:1 bull:4 c2:2 c1:2 otv:1 encircles:1 wellknown:2 appearance:2 value:12 will:2 revisited:1 almost:2 thus:13 mathai:2 casati:1 generic:1 strange:1 gets:1 infinity:6 effect:1 infinite:8 identity:9 mech:1 reflection:2 well:13 utrecht:1 sets:1 position:3 arising:1 usual:3 less:2 moments:13 identically:3 obtain:21 paul:1 moretti:1 density:8 bell:2 other:7 semigroup:1 term:3 unibo:1 five:1 know:1 press:6 prominent:1 insert:1 necessary:2 like:5 excluding:2 alternatively:1 δn:2 δk:1 become:3 works:1 s2ν:1 therein:1 because:5 saigo:2 sequence:1 phenomena:2 econometrics:1 happens:1 accademia:1 economical:2 assuming:2 longman:1 journal:4 pp:8 expansion:1 wesley:2 mellin:2 cα:2 simpler:2 about:2 eqns:1 dependence:1 recognized:2 recognizes:2 introduced:8 elyi:4 bergstr:2 discretization:1 own:1 functional:1 lund:2 utility:1 additional:1 whom:1 appl:2 pg:6 function:98 hypergeometric:1 but:7 repeated:1 convergence:5 ha:5 compute:2 instructive:3 below:2 decays:1 limit:8 distribution:46 mechanics:6 recognize:18 meaningless:1 denote:5 interchanged:1 qα:21 diego:1 functions:35 transitions:1 qν:1 arctan:1 book:4 details:3 branch:4 theor:1 stat:1 francisco:1 chance:1 seismic:1 astronomy:1 inspiration:1 auxiliary:3 4y:1 4r:1 rule:3 |
0704.0321.txt |@word represent:2 partial:11 remarkable:2 gupta:1 rev:10 magnetic:10 results:5 leads:8 understandable:1 contributions:3 centers:1 calculate:1 lsda:1 description:2 papanikolaou:1 charge:4 program:1 ti:27 madsen:1 indicating:1 very:6 engineered:1 wave:3 oxides:2 kimura:1 every:1 mixing:2 experimentally:3 bottleneck:1 condition:1 level:7 positions:2 solution:1 large:7 demonstrated:1 small:4 enhance:1 louie:1 perovskites:1 nanoribbons:1 smaller:2 consistent:1 zero:1 established:1 appear:2 contributed:1 t2g:14 cell:2 above:4 new:2 contributes:1 method:5 3d:7 body:1 condensed:1 full:2 lee:2 degree:3 exchange:3 respectively:4 cro2:2 here:3 atoms:2 srtio3:9 mev:5 separation:1 address:1 dederichs:1 strong:2 appears:6 obtained:1 search:2 zone:1 institute:1 shift:5 study:6 larger:1 approaches:1 amount:1 srruo3:19 characterizing:1 narrow:1 makes:1 via:2 apr:1 highly:1 vis:2 austria:1 decrease:1 achievable:1 total:4 establish:1 unit:3 plot:1 use:1 would:2 distinct:1 negative:1 properties:4 occupying:1 few:1 opposed:1 doubling:1 theoretical:1 separated:2 bhabha:1 becomes:2 site:1 high:2 science:1 values:1 thin:1 believed:1 making:1 compare:1 figure:3 stated:1 india:1 sample:11 indicates:1 numbers:1 times:2 evidently:1 end:1 carriers:1 provide:3 feature:1 arrangement:1 regions:2 mueller:1 maiti:3 mat:1 may:1 minimized:1 applications:4 plane:3 types:1 ruo6:2 effective:2 sr:9 spectra:1 lines:1 correspond:2 pdos:8 negligible:1 fundamental:1 subsequently:1 order:4 typical:1 eigen:2 muffin:1 distortion:1 stability:1 thermal:5 same:3 still:1 excitations:2 its:1 difference:1 energies:2 interesting:1 vicinity:1 exhibits:2 forms:2 fig:17 insulator:3 mail:1 goennenwein:1 them:1 noh:1 delocalization:1 material:4 tdos:2 primary:1 band:17 effects:3 half:20 son:1 develops:1 easily:1 february:1 2p:19 oxygen:1 corners:1 2ev:1 grows:1 turns:1 found:4 universit:1 higher:3 characterized:1 homogeneous:1 el:1 significantly:9 series:1 eg:12 related:1 extended:1 ex:1 keizer:1 transitions:1 fu:4 rt:1 ru:46 shown:6 res:1 induces:1 research:1 increase:7 formula:2 electronics:1 induced:1 issue:1 occurs:1 note:1 interactions:1 possibility:1 paucity:1 difficulty:1 reason:1 members:1 compositions:6 chemists:1 interaction:1 bihlmayer:1 connectivity:6 transition:3 moment:8 linearized:2 hence:1 onto:1 first:1 separable:1 major:1 already:2 isbn:1 features:1 symmetry:4 number:1 channels:1 thick:1 electronic:14 tio6:1 temperature:1 leading:4 top:1 tata:1 system:2 occupancy:2 pinned:1 intermediate:2 calculations:4 realization:2 physicists:1 3d0:1 centered:3 exactly:1 park:2 than:6 kind:2 polarized:1 double:1 approximations:3 summary:1 see:1 ugel:1 matter:1 states:33 assume:1 str:1 were:3 stateof:1 exhibit:7 lowest:1 solovyev:1 cohen:1 seen:1 concentration:1 occupied:2 clearly:3 ray:2 strength:2 mavropoulos:1 miao:1 gravity:1 mechanism:1 metallic:7 polarization:4 ideal:1 potential:6 online:5 singh:1 channel:2 circles:1 play:1 towards:3 most:4 involving:2 significant:5 phase:3 manifested:2 reduces:2 considered:2 calculated:6 metal:6 physica:1 face:1 curie:1 points:1 electrons:3 dos:17 physics:1 stoner:1 insulators:1 show:1 purely:1 radii:1 solutions:1 karlheinz:1 find:1 ground:6 based:4 mumbai:1 conduction:1 only:5 candidates:3 constituents:1 local:6 achieve:2 de:1 brillouin:1 distinctly:1 reveal:1 evolution:1 increasing:1 bar:1 arxiv:1 tuned:1 investigate:4 predicted:4 implication:1 set:2 art:2 rmt:1 achieved:3 observed:5 depends:1 close:4 octahedra:5 ibid:1 compounds:1 sites:12 materials:9 engen:1 state:8 various:5 closed:1 between:8 dilutes:1 approach:1 across:1 µb:11 preserve:1 explosive:1 nature:4 however:3 orbitals:1 configuration:2 both:5 essentially:1 region:2 galanakis:1 attributed:1 hamada:2 etc:2 dated:1 contribution:1 whole:1 experimental:5 presumably:1 ch:1 simple:3 sawada:3 corresponds:2 anti:1 applicability:1 doping:1 cu:1 considering:2 ferromagnet:1 described:2 tuning:3 buschow:1 lattice:2 addition:2 help:1 due:9 reduction:3 much:1 expected:1 ph:1 sarma:2 systems:4 direction:1 corresponding:5 formed:1 gap:16 understand:1 spin:32 present:1 case:4 novel:3 ǫf:11 pacs:1 solid:3 orthorhombic:1 terakura:3 value:2 will:1 luitz:1 while:4 replaced:1 behavior:1 error:1 property:1 colaba:1 identical:1 almost:3 graphene:1 thus:16 non:4 itself:1 cond:1 technology:3 capture:1 different:3 blaha:1 suggest:3 elevated:3 klapwijk:1 units:1 finite:1 composition:1 difficult:1 development:1 literature:1 cubic:6 effect:3 hand:1 insulating:1 compared:2 kim:3 fabrication:1 recent:1 lower:1 center:1 hopping:1 minimize:2 studies:3 well:2 edge:1 tokura:1 position:1 photoemission:1 possesses:1 less:1 moments:4 compound:1 obtain:1 rest:1 judiciously:2 bandwidth:1 aspect:1 eigenstates:1 heusler:2 interstitial:3 density:13 character:3 narrowing:5 color:5 lett:4 technological:4 hybridization:1 real:2 rescaled:1 around:2 bands:9 bic:1 increases:5 using:6 unique:1 loss:1 techn:1 appearing:1 particle:2 valency:1 splitting:6 interestingly:6 geballe:1 flapw:2 wien2k:2 schwarz:2 resolved:1 dilution:1 valence:4 disorder:2 reduced:2 often:3 understood:1 growth:2 homi:1 transport:2 gradually:1 lead:1 demonstrates:3 measurements:1 per:2 kobayashi:1 provides:2 o3:16 o2:7 o1:3 measuring:1 bl:1 equivalent:5 notably:1 substituted:2 although:1 substitution:10 intense:1 about:4 ferromagnetic:14 oh:1 bonding:4 o:23 remains:2 range:2 madelung:1 wien:1 concentrations:2 consequently:1 road:1 software:1 within:4 visible:1 three:4 down:5 primarily:2 tifr:1 theoretically:1 van:1 comparing:1 there:2 width:2 anderson:1 appl:1 low:1 way:2 xiao:1 was:4 energy:20 function:1 alloys:2 form:1 but:2 barman:1 oxygens:2 kvasnicka:1 convergence:3 line:1 observation:1 absent:1 made:1 evident:2 fabricate:2 up:8 achieving:1 crystal:6 below:4 projecting:1 fermi:7 fluctuations:1 distribution:2 similar:5 strongly:1 ab:1 constant:2 ai:1 holes:1 vijayaraghavan:1 contribute:3 evidence:1 char:1 ap:1 single:2 predictions:1 fabricating:1 ay:1 moves:2 constructed:1 again:1 ev:20 tix:5 no:1 dashed:1 field:3 tin:1 other:5 role:1 department:1 out:1 elements:1 calculating:1 temperatures:4 initio:1 metallicity:14 important:1 peak:1 structure:11 tailored:2 correlated:2 coulomb:1 ti4:2 ti0:8 ti1:2 ti2:2 ti3:1 groot:1 4d:30 having:4 augmented:3 |
0704.0322.txt |@word limited:1 represent:1 dynamic:2 consists:1 localized:1 fronts:3 winfree:1 calculate:1 edward:2 matlab:2 under:4 baranger:1 worth:1 figs:1 fractal:1 cause:1 solution:9 math:4 intermittency:1 wronskian:1 specially:1 miller:1 approximation:1 second:1 qualitatively:1 blue:1 organisms:1 above:2 conduct:1 new:8 net:1 increasing:2 coefficient:2 simultaneously:1 mem:1 equals:1 here:5 experimentalist:1 hanski:1 china:3 pursuit:1 obtained:1 michal:1 study:5 changes:3 classification:1 modulated:2 linearly:1 derivatives:2 would:4 scheel:7 noting:1 call:1 therefore:2 volterra:1 type:1 until:3 spatiotemporally:1 standardized:1 populations:5 curvature:1 berlin:1 supplemental:1 must:1 springer:2 locked:1 huppert:1 work:2 mh:2 movies:1 im:2 nlin:1 example:3 sinusoidal:1 give:4 organized:1 involve:1 indicates:1 linearized:1 cushing:1 absolute:5 g1h:6 provide:1 feature:1 far:20 nontrivial:2 ordinary:1 g1p:7 oscillatory:6 modulation:1 turing:17 earlier:1 law:1 hebert:1 complexity:6 green:1 decreasing:2 amit:1 order:3 over:3 murray:1 london:1 satisfies:1 surviving:2 fix:1 production:1 fig:47 versus:1 eventually:3 them:2 anim:1 provenzale:1 interdisciplinary:1 break:2 effects:3 they:4 mimicking:1 eigenvalue:5 netherlands:1 ouyang:2 lorenz:1 each:2 govindan:1 mean:2 schemes:1 series:5 train:4 substantially:1 laboratory:3 rp:3 gradient:1 angular:1 re:4 gov:1 foundation:2 numerical:8 linear:4 formation:10 incorporates:1 dispersal:1 resetting:1 features:1 primary:1 philosophical:1 another:1 electronic:1 cartesian:1 xie:2 biomathematics:1 eqs:4 equilibria:1 approximately:1 perturbations:2 auber:2 nh2:2 distance:3 matter:1 lotka:1 tion:1 modulating:1 ran:1 spectrum:16 seen:1 relatively:1 forced:1 responsible:1 isolated:1 causing:1 circles:1 shall:1 regular:7 phase:6 observation:2 points:5 lewis:1 solutions:10 keywords:1 substituting:1 d2:2 spite:1 explain:1 rich:1 do:3 scheffer:3 dk:1 dh:44 de:1 dz:4 report:1 rademacher:1 schofield:1 patch:1 explanations:2 bai:5 observed:6 depends:1 result:1 oceanic:3 co2:1 capacity:1 away:8 rings:1 µp:1 symmetric:1 µh:1 approach:4 relaxational:1 terms:3 nature:10 however:6 modeling:2 climate:2 cox:2 conclusions:1 against:1 und:1 disappears:1 behaviors:1 basis:2 three:2 been:7 quickly:1 much:4 interest:1 basic:1 expected:1 life:1 locations:1 dave:1 applied:2 spontaneously:1 euclidean:1 near:4 suppose:2 property:1 n2f:1 iv:1 ii:2 ik:4 cond:1 confirmed:1 suggest:1 complex:9 dimensionless:1 several:1 satellite:2 trajectories:3 counterparts:1 cycle:2 scenario:3 ocean:3 simulated:1 dh1:1 left:4 protocol:1 yet:2 previous:4 burns:1 infinitely:1 royal:1 weiss:1 5a:1 5b:1 zooplankton:7 advances:1 breaks:1 possible:2 poses:1 specific:1 persistence:3 arbitrary:3 blasius:1 right:2 people:1 unit:2 gsfc:1 participation:1 core:16 plot:2 illustration:1 properties:3 chapter:1 plos:1 subharmonics:1 o:1 steadily:1 soc:6 presence:1 kuznetsov:1 jens:1 bound:1 bath:1 lies:1 raises:1 amsterdam:1 reducing:1 often:5 k10:2 initial:2 pages:1 way:1 was:4 medium:1 form:5 sustained:1 prevents:2 inside:2 maximum:2 maximun:1 simplifying:2 later:1 proved:1 computing:3 evidence:3 meron:2 exist:6 simulations:5 regime:1 nh:2 dotted:1 diffusively:1 tip:1 reality:1 republic:1 shrink:1 node:1 models:12 variable:6 longer:1 dω:1 assume:2 typically:2 interval:2 fsn:2 dρ:4 time:17 n2:1 measurements:1 chain:1 global:5 focus:2 leads:4 computation:6 environment:4 finally:5 stays:1 cyan:1 level:7 turns:1 gui:1 solved:1 prevent:1 hte:1 illustrating:1 oscillation:6 invaded:1 appear:4 assistance:1 satisfy:2 understanding:1 groups:1 address:1 along:3 change:2 g2p:5 commonly:1 usually:1 studies:3 g2h:5 plotted:1 emerge:5 spatially:23 dictyostelium:2 additive:1 sake:1 positive:1 scenarios:3 territories:1 prey:11 criteria:1 enriched:1 associated:4 theoretical:4 diagrams:4 everywhere:1 maarten:2 originally:1 values:13 following:3 trans:1 ulf:1 figure:3 eckhaus:2 allowed:1 rangarajan:1 dennis:1 occur:6 verlag:1 rays:1 discussion:1 means:4 write:1 rubin:1 fourth:1 optimal:2 parameter:15 map:3 may:3 produce:1 grow:3 natural:4 dynamical:2 johnson:1 explicit:2 so:9 sn:1 michel:1 typical:5 wavelengths:2 indeed:1 displayed:1 stability:12 structuring:1 experiments:4 nitrogen:1 still:1 irene:2 dynam:3 forma:1 group:3 jin:1 interesting:1 decreases:2 forms:3 decreased:1 non:2 rolle:1 evol:1 now:3 developments:1 droz:1 james:2 realistic:1 instabilities:6 instability:14 domain:8 ei:1 snapshots:1 manifests:2 die:1 wavelength:7 eq:4 emerges:1 shown:16 3rd:2 space:23 furthermore:1 reactiondiffusion:2 cyclonic:1 investigation:2 dominate:1 shows:4 theory:3 state:10 mechanisms:2 possibility:1 quite:1 orn:5 inwardly:1 california:1 marine:4 cycles:1 transition:6 motion:1 plane:9 neglect:1 first:4 xi:2 symmetry:1 variables:3 coming:2 lond:5 long:4 directly:1 open:1 george:1 size:2 given:6 structured:1 1a:3 1b:3 draft:1 white:1 structures:4 national:1 gives:2 holden:1 sugihara:1 continuous:5 artifact:1 quan:3 than:8 coefficients:5 population:13 wide:1 require:1 future:2 archimedean:1 were:3 chlorophyll:2 craig:1 argument:1 allen:1 any:4 k30:2 note:3 sciences:2 online:1 algorithms:1 bernd:1 multiple:2 track:1 price:1 dieckmann:1 jørgensen:1 fills:1 considered:1 phil:1 steady:12 abraham:1 salt:1 quantity:1 show:10 synchronous:1 maini:1 spaces:1 ratio:5 behind:2 only:8 explicitly:1 black:2 amplifying:1 bifurcation:32 relative:2 λmin:3 concern:1 rigidly:1 subsequent:2 review:2 sites:3 naturwissenschaften:1 outside:2 between:5 jm:1 concentrate:1 reaction:11 many:2 region:11 propagation:1 dated:1 among:2 forecasting:1 continuation:2 period:2 destabilizes:1 moreover:3 barry:1 odes:6 mark:1 distinguishing:1 6a:1 6b:1 formed:2 wake:1 external:1 those:1 case:6 situation:1 planar:1 coupled:2 comoving:1 middle:2 graphes:1 different:10 verified:1 author:1 acknowledgments:1 same:7 shifts:1 arguments:1 physical:2 events:2 kutta:1 investigated:3 lutz:1 driven:3 tradition:1 modes:2 markus:2 k20:3 no:3 trains:7 coordinate:2 model:26 dimension:1 generally:1 speed:10 heuristic:1 lett:11 role:4 bifurcating:1 real:2 grid:2 world:1 accepted:1 mod:1 meaning:1 nutrients:2 reduces:1 multiplicative:1 stationary:1 competition:1 thomason:1 images:1 provided:1 xing:2 dimensions:3 confirm:1 critical:3 belousov:2 pascual:3 stone:1 central:1 package:3 insect:1 act:1 concentrations:1 cambridge:2 unbounded:2 numerically:3 operator:1 theoretically:2 log:1 area:1 there:8 dispersion:4 aguiar:1 illuminated:1 enough:1 fundamentals:1 gurney:1 pdes:2 patchiness:3 ωt:10 ωk:1 ωc:3 agree:1 required:1 certain:2 describe:2 am:1 general:2 ap:6 turchin:2 ar:3 asynchronous:2 corresponding:9 again:1 drivers:1 field:16 aranson:1 spatial:57 mathematics:2 forcing:1 polar:1 important:6 bounded:1 conclusive:1 curve:3 taiyuan:1 monogr:1 starting:1 sergei:2 surrounded:1 consider:2 caused:3 lian:5 research:1 referring:1 stochastic:3 kρ:5 amplitudes:1 very:4 induce:1 difference:2 uwe:2 large:10 small:4 biological:7 nonrandom:1 pekalski:1 zero:4 design:1 pass:1 further:3 nonlinear:8 sub:2 richard:1 sun:1 section:4 method:3 unsurprisingly:1 full:1 component:1 okubo:1 ranges:1 equations:2 colored:1 periodic:13 contr:1 via:4 family:1 extinction:7 ωh1:1 more:8 initiated:1 broke:2 known:5 science:4 equation:8 des:1 det:2 remain:2 evolved:1 dec:1 spontaneous:2 history:1 compare:1 states:2 minimum:2 numbers:2 arise:4 sawai:1 species:4 information:1 rather:2 simplicity:1 plant:1 algebra:2 orbits:2 sven:1 fc:1 waves:56 fh:2 invasion:1 bloom:2 resemble:1 spectra:11 parameterized:1 media:7 help:1 developed:7 resonant:1 paper:6 through:3 existence:7 its:6 roots:1 systems:25 convective:4 travelling:12 alter:2 food:1 predator:10 zhen:3 communities:1 yu:1 marcus:2 gets:1 goldstein:1 always:1 k40:2 accommodates:1 2d:1 2f:1 2a:1 2b:1 radial:2 found:3 referred:1 neil:1 generation:2 fish:6 extended:11 expect:1 measurement:1 robert:1 since:2 denotes:1 induced:6 issue:1 occurs:1 doppler:1 drifting:1 reason:2 base:1 andrzej:1 unique:1 recast:1 bistability:3 caption:1 exponentially:1 circuit:1 botany:1 major:1 number:4 done:1 defects:1 maple:1 passes:1 perturbation:3 introduction:1 leading:1 excitable:4 regulation:2 horst:3 exponents:3 relationship:1 part:4 authors:3 diffusion:35 determines:1 cyclic:2 σess:1 determined:2 supposed:1 onedimensional:1 toward:2 treated:1 comput:1 7b:1 7a:1 igor:1 defect:2 elsevier:1 evasion:1 depending:1 lin:2 onset:1 k2:1 k0:4 province:1 play:2 towards:1 metapopulation:1 most:3 significant:1 measured:2 henson:1 kc:4 velocity:6 kx:3 physics:3 lying:1 thomas:1 phenomenon:4 converge:1 relation:3 find:2 impact:1 parameters:14 less:1 factor:1 meanwhile:1 synchronization:1 during:2 alexander:3 resolve:1 arxiv:1 investigate:1 common:1 vincent:3 set:2 art:1 undergoes:1 arb:1 outwardly:1 close:1 changeable:1 arm:3 probable:1 pictures:1 various:1 conditions:4 available:1 recently:4 popul:2 both:6 sensitive:1 whole:4 point:10 simple:1 asymptotically:2 community:7 dimensional:10 throughout:1 multispecies:4 ps:1 described:1 create:1 due:9 zhabotinsky:2 partly:2 packs:1 wheeler:2 modelling:2 neumann:1 understand:1 attractors:1 p1:1 pacs:1 solid:1 empirical:1 while:3 behavior:4 error:1 engineers:1 von:2 itself:1 carbon:1 grant:2 belong:1 widely:1 shan:3 development:1 used:2 optim:1 recent:1 spatio:6 analysis:11 organization:1 johan:1 self:5 λp:3 questions:1 using:9 useful:1 alternative:1 λh:3 liu:2 exclusively:1 source:1 euler:1 nasa:1 format:1 evaluate:1 showing:1 ecosystems:2 emergence:2 rotate:1 follows:1 ignore:1 flux:1 arthur:1 individuals:2 unstable:9 ivan:1 essential:5 mathematical:4 sketch:2 ecology:4 methods:1 creation:1 some:6 back:1 emanate:2 trends:1 oscillations:5 pronounced:1 gradually:3 scale:5 transactions:1 integration:1 per:2 riet:1 fragments:1 proc:2 invade:1 minimal:6 bj:6 colonization:2 step:2 bp:10 plots:2 carol:1 bz:1 schaffer:1 simulation:8 range:5 dwight:3 computational:1 into:7 within:5 locus:4 appropriate:1 twodimensional:1 u0:1 biol:6 pwt:2 properly:1 line:1 up:4 planes:2 fluctuations:2 similar:1 called:2 constant:5 rossby:1 influence:1 oikos:2 single:1 diverse:1 prevail:1 paradox:2 coded:1 nat:1 becomes:2 department:2 govaerts:1 problems:1 lens:1 develops:1 linearization:2 sides:1 structure:5 organism:1 barkley:4 kinetics:1 carrying:1 wavenumber:3 jansen:3 enrichment:4 illustrates:1 aliev:2 results:11 existing:1 illustrated:2 broader:1 concerned:1 stable:21 mobilia:2 g2:8 g1:5 wave:52 mixing:2 georgiev:1 eigenmodes:1 eigenvalues:8 refer:2 noted:1 compensated:2 eλt:3 mediterranean:1 biomass:3 fold:1 traveling:1 dynamics:20 plays:1 cell:1 laurence:1 3b:1 3a:1 advected:1 lee:1 respectively:7 growing:3 explore:1 larger:4 resulting:1 makes:1 formulated:1 scales:4 extinctions:1 addressed:1 decrease:3 use:3 andreas:1 usa:1 remains:2 breakup:22 morphogenesis:1 next:2 few:1 ecol:4 transient:1 iii:4 integrating:1 challenge:1 when:14 meet:1 control:7 process:1 loci:1 high:1 varied:2 regions:3 located:1 instead:1 waters:1 mixed:2 computations:1 light:2 lines:3 correspond:3 allow:1 evolutionary:2 produces:2 insight:1 interpreted:1 including:1 mentioned:1 chemical:4 decay:2 chosen:2 temporal:14 li:7 estimating:1 coarsening:1 dp:25 instruments:1 imbalance:1 weber:1 13b:1 13a:1 upwelling:1 outlined:1 practice:1 exhibiting:1 das:1 february:1 university:5 homogeneous:8 metz:1 related:3 society:1 frequency:4 interplay:3 relates:1 transitions:1 special:2 out:2 matt:1 matrix:1 res:1 develop:1 rev:18 chaos:31 mediated:1 ref:5 red:1 interactions:5 knobloch:1 completely:2 york:3 philip:1 interaction:3 organic:1 geometry:2 could:1 times:1 length:1 hence:2 powerful:1 system:39 their:6 ωp1:1 siam:6 floquet:2 prone:1 explanation:1 predators:1 environmental:3 opti:1 costantino:1 varieties:1 bother:1 see:19 limiting:2 amplitude:4 exhibit:4 sea:1 phytoplankton:12 curves:1 viewed:1 documents:1 satoshi:1 min:1 mechanism:1 outward:1 sandstede:6 instance:1 vegetation:1 patchy:2 lundberg:1 instrinsic:1 class:1 snapshot:2 movie:8 oscillates:1 fact:2 spatiotemporal:20 selection:2 supported:1 rotating:7 lloyd:1 hohenberg:1 based:3 dp1:1 controls:1 should:5 equivalents:1 employed:1 local:10 hopf:21 equilibrium:3 move:1 veitch:1 syst:3 petrovskii:3 areas:2 evolution:8 substrate:1 hydrodynamic:1 qi:1 fixed:2 computed:1 exists:1 frame:6 turbulent:4 edition:2 computer:1 pattern:19 written:2 difficulties:1 tendency:1 jin1:1 boundary:5 variability:1 underwater:1 importance:1 tobias:1 amer:1 distribution:3 restrictions:1 equal:2 figures:2 plankton:22 mesoscale:1 ck:1 relevant:1 co:1 cl:1 cc:1 ca:1 cg:2 cf:3 coordinates:1 sequences:1 respect:1 allocated:1 cp:16 basing:1 kinematic:1 addition:1 permanent:1 ah:1 diversity:1 moved:1 bull:1 present:5 multi:1 novel:1 value:4 will:6 predation:1 chaotic:2 refs:5 thus:3 cross:3 strange:1 units:2 finite:3 http:1 raymond:1 corotating:1 center:5 well:9 thought:1 patterns:30 utrecht:1 firstly:1 arising:2 swinney:1 akira:1 kramer:1 obtain:1 paul:1 density:3 lattice:2 spirals:6 riverside:1 increases:2 know:4 press:2 turbulence:5 like:2 become:3 indications:1 because:1 habitat:1 vortices:1 phenomena:1 growth:1 choosing:1 proper:1 peter:1 lead:1 does:4 esa:1 demonstrated:2 biology:2 noise:2 journal:1 although:1 periodically:2 noisy:1 about:7 carried:1 saddle:1 column:3 dependence:1 software:1 discretization:1 carolyn:1 h2:4 h1:1 functional:1 speciation:2 additional:1 spiral:82 spots:1 appl:3 function:1 north:1 hp:1 but:11 ear:1 made:1 compute:2 whether:1 ecosystem:4 variations:3 limit:1 problem:5 display:2 stirring:1 falkowski:1 denote:2 erik:1 our:10 mauro:2 functions:2 compared:1 other:5 details:2 branch:3 theor:2 stat:1 stay:1 ecological:20 nutrient:3 coupling:1 multigroup:1 eddies:1 richardson:1 gilad:1 4b:3 indirectly:1 4a:3 |
0704.0323.txt |@word consider:4 chinese:1 magnetic:1 global:3 results:2 computation:2 follow:1 simon:2 depend:1 topic:1 program:2 dramatically:1 applied:1 straightforward:1 orthogonal:1 very:1 fan:7 mps:11 summarized:1 experimentally:1 matrices:2 condition:2 cmm:4 cmi:1 presented:7 cnj:5 gui:1 qudit:1 convenience:1 eigenvalues:2 optics:1 attracting:1 concise:1 past:1 acin:1 further:1 implemented:6 odd:1 machines:4 even:1 aim:1 plays:1 clock:1 multiqubit:6 expressed:3 find:6 sequential:36 above:1 method:3 satisfy:2 condensed:1 teleportation:1 here:2 china:1 represented:2 appears:1 every:1 remark:1 lamata:1 institute:1 study:2 studied:1 resonance:1 implement:1 involves:1 buˇzek:1 tasks:2 useful:1 beijing:1 apr:1 linearly:1 scarani:1 use:4 takes:2 massar:2 covariant:2 tasaki:1 λαn:2 next:3 partite:2 m1:8 hammerer:1 more:2 bennett:2 initial:1 operators:1 emission:1 appendix:2 normalized:1 known:2 cases:1 md:3 science:1 mn:1 mi:3 reviews:2 iblisdir:1 following:3 example:3 ions:2 φαn:1 wang:1 arise:2 states:22 contradicts:1 numbers:1 sense:2 information:3 divided:2 acts:2 machine:18 pure:4 optimal:4 brassard:1 product:1 de:4 giovannetti:1 may:5 ancilla:6 clone:1 designed:1 gottesman:1 verstraete:1 induction:1 natural:1 explicit:3 correspond:1 complexity:2 so:5 representation:2 bipartite:1 operations:2 pointed:1 years:1 matsumoto:2 course:1 experiments:1 through:3 fidelity:3 still:2 its:2 delgado:1 affleck:1 chosen:1 interesting:2 actually:1 better:1 choose:1 quant:3 schmidt:2 easier:1 february:1 vidal:1 level:1 grows:1 each:8 found:1 individually:1 schemes:1 successively:2 linares:2 generation:6 idea:1 quantum:37 our:2 operation:5 out:2 divincenzo:1 shown:3 matrix:2 space:4 since:2 rev:18 denotes:1 acting:1 formula:1 ref:12 rj:5 standard:1 besides:1 jozsa:1 generate:1 interaction:1 created:1 times:1 βm:10 first:4 already:1 xn:1 lamas:2 omitted:1 vαm:6 xd:1 hans:1 ddimensional:1 another:1 blank:1 necessarily:1 sias:3 similarly:2 eqs:1 system:5 realization:2 scheme:4 final:3 trapped:2 asymmetric:1 academy:1 optical:2 x0:3 x1:3 schon:2 than:2 kind:1 wootters:1 depends:1 preparation:1 matter:1 crepeau:1 were:1 dang:2 result:3 topics:1 generalization:1 manner:5 need:2 elsevier:1 recover:1 any:2 multipartite:4 ρout:2 realm:1 depending:1 studying:1 polarization:1 sciences:1 take:1 ancillary:5 formulas:1 shall:1 most:2 letter:3 phase:2 acknowledgements:1 extremely:1 class:1 sciarrino:3 ki:2 later:1 martini:3 part:3 physics:3 nsfc:1 show:6 supported:1 notations:1 relation:1 lloyd:1 networks:1 based:1 implementation:1 written:4 should:5 only:2 factor:1 notation:1 express:2 joint:1 synchronization:1 rest:1 dv:1 du:1 evolution:2 resource:1 arxiv:1 including:1 ricci:1 j0:1 j1:1 collectively:1 see:3 individual:1 cloning:36 terms:1 satisfies:1 fang:1 nuclear:2 symmetric:7 qubits:7 state:39 various:3 between:2 progress:2 αm:33 across:2 αn:25 available:3 barenco:1 recently:2 nature:4 initially:1 attention:1 however:4 implementing:3 ji:3 key:1 last:1 according:2 etc:4 dated:1 logic:1 qubit:15 whole:1 δαn:3 otherwise:2 cn:7 cm:21 leon:1 dimensional:8 xi:2 salgado:1 transformations:4 basis:2 copies:4 been:3 much:4 basic:1 ph:3 fiurasek:1 empty:1 define:3 dots:2 cerf:1 corresponding:1 finishes:1 concerning:1 subspace:5 irvine:1 zeilinger:1 uqcm:19 denote:2 spin:1 present:1 case:12 pacs:1 expanded:2 will:9 suppose:1 promising:1 maccone:1 procedure:4 identical:4 unitary:5 heng:1 refs:7 vα1:1 thus:5 interacts:1 ric:1 sequentially:9 different:3 cummins:1 same:2 stimulated:1 potentially:1 φf:2 φi:3 φj:8 several:1 φm:12 difficult:3 used:2 i1:6 hand:1 vαn:1 γαn:1 decouple:1 entanglement:1 βmk:2 normalization:1 raussendorf:1 well:2 dimension:1 know:3 isometry:3 gates:1 proposed:7 when:2 obtain:3 photonic:2 λj:13 letting:1 note:1 cut:2 zoller:1 density:3 photons:1 except:1 source:1 lett:12 input:14 transformation:2 chuang:1 bin:1 possible:1 vα:8 entangled:8 using:1 mod:1 like:5 kennedy:1 systematically:1 reduces:3 howell:1 arbitrary:1 setups:2 output:6 collective:1 spins:1 therein:1 qed:3 deal:1 some:2 economic:1 cavity:3 microwave:2 decomposition:2 chains:1 minimal:1 processing:2 bi:2 step:2 2m:9 hilbert:3 about:2 wadati:1 reduced:5 briegel:1 wolf:2 lieb:1 computational:1 communication:1 into:2 within:1 references:1 operator:4 ei:1 αnn:1 jin:1 there:2 question:1 saavedra:1 analyze:1 was:5 weihs:2 elsewhere:1 form:9 but:1 cloned:2 hb:3 ha:5 hf:1 copied:1 made:1 applying:1 whether:1 ud:1 similar:1 emit:1 gisin:3 detailed:1 cirac:3 defined:1 universal:5 proven:1 general:21 peres:1 single:7 check:1 physical:2 mosca:1 bouwmeester:2 peach:1 generally:1 other:3 role:1 conclusion:1 solano:3 photon:1 generated:10 jones:2 auxiliary:1 assume:2 time:4 |
Subsets and Splits