text
stringlengths 0
190k
|
|---|
0705.0379.txt |@word saturating:1 magnetic:98 four:9 consists:2 localized:2 whose:5 presents:2 under:14 divergent:1 summarizes:1 rise:2 every:2 affect:1 logarithmically:1 supports:3 glues:1 solution:25 unrelated:1 jhep:1 force:2 throught:1 consistent:1 direct:1 approximation:26 second:16 tangential:1 spontaneously:1 even:5 δl:3 above:10 resilient:1 new:4 coefficient:6 here:16 represented:1 quark:5 obtained:15 property:1 study:4 soliani:2 approaches:4 procedure:5 suitable:1 projection:1 explained:2 remnant:1 rρ:2 total:6 linearly:1 derivatives:4 would:3 negative:1 substitutions:1 definiteness:2 m1:6 therefore:9 m2:8 type:9 until:2 separated:1 leese:4 composite:2 solitons:36 curvature:1 correspondingly:2 separates:1 aligned:2 must:32 springer:1 ma:2 quartic:1 mo:1 fµν:1 theories:5 mu:1 mt:1 mq:10 mr:1 akin:1 endow:1 example:4 transition:2 give:4 implementations:1 want:5 absolute:2 end:11 provide:2 feature:5 how:4 nontrivial:9 answer:3 ordinary:1 charging:7 description:20 after:5 minimized:3 lump:3 davis:2 summarize:2 parallel:7 attempt:1 third:5 think:1 keeps:1 order:16 wind:1 exotic:2 interpretation:2 satisfied:2 satisfies:1 dualized:1 before:2 fix:1 better:2 fig:32 maximal:1 them:4 combination:2 break:2 band:1 repulsive:1 they:11 toroidal:2 each:5 side:1 mean:3 lifted:1 principles:1 shifman:9 eguchi:3 rq:1 crucial:7 content:1 vector:2 mγ:3 reader:2 mξ:3 nitta:1 linear:8 free:2 standard:2 admits:2 dynamics:3 chiral:4 r2:20 r3:1 starts:1 cosmic:1 creates:1 bogomol:3 generalizations:1 already:2 features:2 another:6 eqs:4 twisted:12 needed:1 too:5 collapse:2 leaking:1 somewhat:1 iωt:1 target:10 roles:2 approximations:4 crosses:1 matter:3 perturbative:1 minn:1 rewrite:2 mind:1 spectrum:3 manner:2 seen:2 seem:2 tells:1 contents:1 strength:5 genuine:3 convenient:2 latter:1 responsible:1 oriented:2 reparametrization:2 circles:2 though:1 object:10 extending:1 optimized:1 phase:29 marie:1 treats:1 flow:2 doe:1 curie:1 points:2 zaffaroni:1 sum:1 reprinted:2 reserve:1 ftpi:2 supermultiplet:2 implying:2 gauge:28 solutions:5 subtle:1 d4:1 d2:5 d3:9 d0:1 touches:1 quoted:1 implementation:2 explain:8 folded:6 minnesota:1 topological:4 summarizing:1 adequate:3 oct:1 do:3 dk:2 yee:1 de:1 dz:3 dx:1 dq:1 runs:2 fields:30 acknowledgments:1 nξ:1 4πn:9 observed:1 depends:5 electrostatic:1 radius:15 result:8 subject:1 said:1 tensor:2 worldsheet:2 away:4 symmetric:1 simplest:4 conceptual:1 preserve:1 accord:1 terms:26 nature:1 confusion:1 wm:2 weak:2 however:12 topology:2 suggested:1 essentially:1 against:2 merging:16 fnm:2 genus:21 disappears:1 ansatz:1 tong:5 layers:1 basis:1 three:19 much:7 interest:1 basic:5 susy:1 supersymmetric:10 attacked:1 quantities:1 rescalings:2 transformation:1 applies:1 balance:1 leaves:3 characterizing:1 cylinder:70 arafune:1 iv:2 ii:15 skipping:1 exterior:1 superpartner:3 containing:1 perform:3 suggest:1 make:14 linked:1 complex:2 split:1 dimensionless:1 yung:3 perimeter:2 independent:2 numerical:1 hand:12 kim:1 vainshtein:3 normalization:5 cycle:25 weakly:1 shortly:1 higgsed:3 quantitative:1 blegdamsvej:1 left:8 just:6 rotated:1 kinks:2 photonic:1 identify:1 thanks:1 spherically:1 facts:2 yet:2 previous:4 adding:1 zakharov:1 had:1 iω:1 spread:1 easy:3 requiring:1 rescaled:2 iα:5 possible:6 mergings:1 arai:1 performing:1 niels:1 specific:2 remind:1 bps:8 steps:2 follows:9 mext:1 right:3 deal:6 born:6 electromagnetic:1 unit:17 yields:1 umn:1 pinched:1 particular:5 minimization:6 arbitrary:9 illustration:1 substitution:1 properties:5 limitation:1 o:2 essential:1 nonvanishing:4 canonic:1 plus:9 slightly:1 automatically:1 considerations:2 presence:1 rotations:2 bound:4 shellard:3 down:1 remarks:1 sov:1 reducing:1 rely:1 support:2 flying:6 approximate:1 strassler:1 width:2 conservation:3 way:17 infinitedimensional:1 call:4 was:19 lowest:2 form:17 something:1 landing:1 true:1 cylinders:1 slope:1 prevents:2 inside:38 attached:1 emit:1 b61:1 adopt:1 proved:1 b2:1 abstract:1 conserved:8 dθ:3 check:1 physical:6 ni:2 nn:16 no:6 when:5 ne:1 unambiguously:1 role:1 nq:3 nr:2 shrink:1 nw:2 picture:3 models:4 asterisk:2 variable:1 feld:1 ξe:5 coulomb:9 assume:9 sigma:48 interval:1 together:1 time:14 n1:16 n2:24 restored:1 dualizing:1 concept:1 global:12 alternatives:1 focus:1 leads:3 rebbi:2 extremities:1 fusing:2 vev:1 certainly:3 inverse:1 depend:1 shrinkage:2 environment:1 finally:7 compensate:1 supplements:1 marks:1 stabilizing:1 string:26 orthogonal:1 none:1 choice:5 exact:3 presented:2 turns:3 round:1 prevent:3 mn:1 occurrence:2 sign:2 adds:1 appear:1 current:1 axial:11 goes:4 sqed:6 supporting:1 perpendicular:9 alone:1 along:5 xα:2 appears:1 change:4 sending:1 institute:2 root:1 studied:8 wherever:1 g2d:1 simultaneous:3 domains:1 hospitality:1 genuinely:2 supertube:3 useful:1 translational:2 flavors:4 prove:3 positive:5 eφ:4 handles:4 theoretical:1 marginally:7 introducing:3 duality:2 neglected:1 apparent:1 validity:2 virtue:2 cases:2 easiest:1 fermionic:1 deformed:2 instable:2 labeled:1 values:7 following:14 making:4 arrive:4 figure:22 stereographic:1 allowed:3 rescaling:9 normalize:1 s2:10 discussion:6 spreads:1 write:5 nyi:3 pure:1 optimal:1 coleman:3 looses:2 parameter:5 map:3 product:2 may:4 southern:1 produce:2 revealed:1 stress:3 natural:2 outline:1 johnson:1 higgs:2 sr:1 si:1 2ma:1 so:9 representation:1 indeed:7 displayed:1 stability:38 course:1 motions:1 still:4 derive:1 group:4 thank:1 interesting:4 tori:21 coordinates:11 forms:1 main:1 meridian:1 correspondence:2 non:7 introduce:9 ǫij:2 identically:1 now:20 discuss:10 term:20 name:2 stabilize:5 arrows:1 instability:1 domain:47 square:1 ei:4 ed:1 conventions:3 ez:3 eq:46 es:1 emerges:1 shown:2 space:25 tensions:1 lagrangian:10 formula:7 correct:3 earlier:1 theory:79 state:1 divergence:2 possibility:3 quite:7 complicated:8 e1:3 forbids:1 e2:7 cycles:20 derivation:2 language:6 collapsing:1 impose:1 motion:1 turn:2 hanany:1 place:1 massive:3 view:5 neglect:3 first:31 origin:2 xn:3 vacua:12 symmetry:4 xy:4 directly:3 carry:4 impossible:1 open:4 angular:2 size:7 given:13 fmn:1 brevity:1 convention:2 speaking:1 gives:4 mostly:1 transverse:1 x2:1 x3:9 x1:1 than:18 coefficients:1 wide:1 unfortunately:2 require:3 future:2 were:3 pre:1 bolognesi:4 ano:12 turned:1 argument:2 generalization:1 winding:1 say:5 saw:1 any:5 note:10 potential:10 take:5 interior:2 coincide:1 modulus:11 switching:1 begin:1 multiple:2 trace:2 opposite:5 formulae:2 cylindrically:1 precludes:1 xµ:1 considered:5 later:1 abraham:3 typically:1 quantity:1 2m2:3 2m1:3 festschrift:1 show:4 discovered:3 naganuma:1 homology:1 slow:1 ratio:3 aφ:1 behind:2 texture:1 analytic:1 only:18 going:1 get:13 genera:8 rept:2 expectation:1 unimportant:1 cannot:5 nearly:3 lighter:1 aθ:1 regarding:2 summary:1 mapped:4 relative:3 gudnason:1 namely:5 surfaces:4 fails:2 ways:2 subsequent:1 review:7 justifies:1 outside:2 between:14 geometric:2 vertical:8 εij:1 concentrate:1 analyzed:3 jetp:2 reaction:1 circumference:1 many:1 according:2 instanton:12 expression:5 comes:1 minima:1 effective:9 superfield:1 satisfaction:2 exploit:2 stretched:1 moreover:3 branes:3 considering:3 locally:1 combined:3 wants:1 direction:18 photon:4 observe:2 external:1 irrelevant:2 those:4 case:17 squeezed:2 situation:1 ein:1 versus:1 orientation:3 endowed:1 metric:5 middle:5 superconducting:1 loosing:1 different:5 develop:2 same:14 regime:4 singapore:3 edges:7 delicate:1 invariance:2 modes:1 minimize:7 without:2 solve:2 components:3 coordinate:6 model:58 dimension:5 charged:14 manifold:6 generally:1 skyrmion:4 vanishes:2 infeld:6 torus:71 aspect:1 touch:1 multiplet:2 flavor:2 remember:1 seems:3 interested:2 lett:8 versa:5 constant:15 heavier:3 momentum:2 real:5 aspects:2 around:7 vacuum:33 using:4 vertically:1 particle:7 collective:6 pole:4 either:1 characterizes:1 tower:1 stationary:1 reduced:2 deduce:1 respect:15 generates:1 eiα:4 provided:3 dimensions:5 tube:3 mesons:2 critical:3 propagating:4 refer:3 faddeev:2 scientific:3 power:3 equivalent:4 broken:1 standpoint:8 qnn:6 om:1 central:1 discussed:8 meaning:2 skyrmions:1 road:1 perturbed:1 cambridge:1 inclusion:1 image:1 references:2 determine:1 elementary:15 shrinking:1 spinors:1 hep:25 area:6 assumed:3 there:17 start:5 low:8 lot:1 survives:1 complete:3 displacement:1 aµ:3 pull:1 circulation:1 ωt:2 dφ:3 monopole:3 homotopy:3 regimes:1 detailed:2 ag:1 ai:1 certain:4 aj:2 am:2 minneapolis:1 general:3 aq:2 ar:2 governed:1 formulation:1 ax:1 az:1 tedious:1 again:1 fg02:1 field:106 valid:4 massless:5 briefly:2 oneself:1 important:5 included:2 olesen:3 building:1 curve:2 derrick:3 mass:49 starting:3 strings:6 represent:1 consider:17 ceases:2 forbidden:3 scalar:10 generalize:1 expressions:11 research:1 rd:1 aρ:1 tw:13 tq:8 program:1 belavin:5 th:26 ti:1 presentation:1 straightforward:5 very:8 fall:1 difference:1 condition:10 hamiltonian:4 applicable:1 large:17 small:7 zero:5 design:2 perspective:1 pass:2 further:2 what:11 nonlinear:3 disintegration:1 section:9 brief:2 thickness:10 crush:1 version:1 solitonic:2 method:1 devoted:1 full:12 component:7 answers:1 cylindrical:11 capacitor:6 excess:1 concluding:1 strong:2 equations:5 introductory:1 odense:1 amount:1 superpotential:3 pick:1 action:30 exited:4 via:3 marginal:6 establish:1 readily:3 conventional:1 takes:7 distinct:5 contains:1 charge:70 comparing:4 nucl:13 taken:1 more:10 flat:5 niemi:2 emission:5 stick:1 varying:1 known:9 keeping:1 monopoles:1 quantized:5 equation:11 created:1 det:3 centrifugal:1 remain:1 f1:1 compare:3 share:2 states:5 sphere:3 minimum:5 numbers:4 sense:2 axis:5 information:4 respective:1 compactify:2 rather:5 maps:1 simplicity:3 derived:2 reflect:1 plane:7 coming:1 fi:1 horizontal:7 fn:4 short:1 onto:4 twisting:3 interpolates:1 sect:24 fundamental:2 polyakov:15 passages:1 help:3 essence:1 gauged:2 paper:8 through:16 signs:1 existence:10 kinetic:10 excitations:11 its:20 energies:2 boson:2 sigmamodel:1 microscopic:1 might:2 supersymmetry:4 misalignment:1 good:1 return:3 framework:7 walls:10 compound:1 speculate:1 bigger:1 easily:1 gets:3 2q:1 2r:2 fully:2 level:1 2d:3 2e:1 2g:2 radial:3 found:2 ifn:1 energetically:2 characterized:3 referred:1 heavy:2 formulate:2 needless:2 energy:27 hard:1 reduce:1 idea:1 expect:1 quantum:10 really:1 simplify:1 since:15 denotes:1 denoted:2 induced:1 issue:10 occurs:1 reason:1 base:2 ase:1 imagine:1 ask:1 definition:1 omit:1 consequence:1 relate:1 number:12 done:5 construct:1 fluxes:23 passes:4 story:4 introduction:2 leading:1 interact:1 least:2 holomorphic:1 trapped:3 part:8 cosh:4 iliopoulos:3 albeit:2 kind:1 gγβ:3 kink:3 charges:8 determined:3 defect:2 supertubes:1 confirms:2 tσ:2 lie:1 built:1 depending:4 self:1 internal:9 build:1 play:1 electric:55 eaten:1 nothing:1 measured:2 soliton:43 hypermultiplet:2 clear:8 sometimes:1 coincides:2 velocity:1 justify:1 tubes:3 sector:1 phenomenon:2 ξnn:4 minimizing:3 relation:6 superalgebra:1 fine:1 find:5 completion:4 polygonal:1 parameters:10 assertion:3 subsection:1 factor:4 circle:9 abelian:3 notation:1 distance:1 dependent:5 express:1 sects:2 arxiv:2 stored:1 approaching:1 set:5 achieved:1 see:36 arc:1 descriptions:1 theoretic:4 analog:1 definitely:1 visualize:1 currently:1 smallest:1 various:5 subscript:3 conditions:11 vorton:3 complementary:2 vanishing:4 distinguish:1 understanding:2 remaining:1 both:7 folding:2 quantization:1 connection:1 context:4 orientable:1 point:14 simple:3 asymptotically:2 corresponds:11 dimensional:19 superstring:1 sakai:2 ensures:1 described:2 create:1 due:7 strategy:1 describes:2 asymptotics:1 ph:2 po:1 empty:2 precision:1 understand:6 fayet:3 replaces:1 look:1 exponential:1 while:18 behavior:1 couplings:2 subsect:6 larger:6 funded:1 reads:1 vanish:2 fermion:4 nielsen:3 grant:2 lengths:1 accomplished:1 higher:18 used:7 moment:3 zwicky:1 purpose:2 recent:2 tasi:1 lower:6 task:3 analysis:9 obviously:1 concrete:1 edge:14 consistency:1 organization:1 lin:1 shape:1 questions:3 world:4 conclusions:3 surprises:1 guaranteed:3 source:2 radia:2 theorem:2 excited:2 entangled:1 integer:5 emergence:1 imposed:2 semi:3 confront:2 signal:1 adiabatic:1 flux:59 continue:2 unstable:2 topologically:1 mathematical:1 sketch:1 methods:2 brakes:1 absolutely:1 creation:1 some:10 back:3 understood:1 sight:2 ourselves:2 scale:3 superfields:3 per:14 eliminate:1 tends:1 minimal:2 inserting:2 run:1 bm:2 bn:3 bi:1 step:6 bq:2 br:3 constrains:1 integers:4 constraint:5 novikov:1 range:1 okun:1 into:19 appropriate:7 proportional:5 twodimensional:1 question:8 u0:3 long:6 bosons:1 analyze:3 sections:3 complexified:1 gauss:1 ling:1 unequal:1 line:16 considerable:1 directed:1 uu:1 stabilizes:2 2πk:1 up:3 us:31 2πn:1 2πq:2 2πr:1 ix2:1 fluctuations:1 similar:7 called:4 associated:2 defined:3 curvatures:1 eφ2:1 globally:1 single:3 work:6 fixing:1 priori:1 elements:1 energetic:1 calculating:2 mismatch:1 problems:2 william:1 generated:3 hanson:3 sides:1 structure:5 ago:1 implies:9 vice:5 physics:1 required:1 equivalently:2 broad:1 far:5 requires:1 once:1 partial:1 illustrates:1 results:5 eds:3 contributions:2 toric:2 compact:1 stable:22 g4:4 g2:21 stabilized:6 trough:1 ending:1 continued:1 notes:1 try:2 interpolating:2 majorana:1 noted:5 smaller:2 zi:1 lightest:1 fold:4 copenhagen:1 leakage:5 cell:1 poles:4 flowing:1 crossed:3 impact:1 lee:1 respectively:7 explore:1 focused:1 sinh:5 others:1 consideration:4 invented:1 z0:17 remark:3 involved:2 reminiscent:2 involves:1 composed:2 examining:1 stabilization:5 addresses:1 addressed:2 names:1 condensates:1 meson:4 eiωt:2 use:9 iǫij:1 remains:3 pedagogical:1 next:4 classically:2 depicted:4 themselves:1 simpler:1 convoluted:1 becomes:12 benchmark:1 carrying:1 iia:1 iii:2 account:2 balls:1 ρd:9 mateos:1 m2γ:2 ρr:2 obvious:2 thin:13 proof:2 process:12 purposes:1 high:1 assumptions:1 bend:1 particles:2 sin:1 profile:10 tension:25 singular:1 worldvolume:32 realized:1 light:1 lines:4 correspond:2 element:2 allow:1 s1:1 saturated:2 interpreted:2 saturates:1 including:3 mentioned:1 horizontally:3 complicate:1 decay:8 chosen:1 ll:2 lect:1 degrees:4 derivative:6 iϕ2:1 setting:1 lx:2 ly:2 fourth:1 front:2 rotation:8 day:1 dirac:6 university:3 identified:1 merge:3 l2:7 mode:1 electrically:1 disregard:1 identifies:1 related:9 frequency:3 static:1 measure:1 our:29 transitions:1 special:1 out:11 rev:8 ref:6 integrated:2 math:1 interactions:2 completely:2 threedimensional:1 interaction:1 geometry:13 could:4 times:2 ahler:1 length:14 cures:1 hence:1 quadratically:1 south:5 powerful:1 intuitively:1 reached:1 precisely:1 unknown:1 condensate:1 relations:1 their:8 fermions:1 wrapped:1 perfectly:2 final:2 townsend:5 exactly:3 lists:1 regards:2 dynamical:2 limiting:3 f12:2 providing:1 symmetries:3 fluctuation:2 need:1 clearly:3 viewed:5 misaligned:1 studying:1 able:2 mechanism:1 polarization:1 instance:6 lectures:1 who:1 propagate:2 segment:2 why:3 parametrize:1 reduces:2 stronger:1 constrain:1 fact:16 dbi:12 supported:1 trivial:4 q1:10 q2:15 based:2 knowledge:1 should:2 attained:1 local:3 hopf:13 equilibrium:1 handle:4 means:2 regge:1 ones:4 words:2 processes:3 denmark:3 differential:3 qa:7 contain:2 fixed:10 qn:12 moduli:14 multiplying:2 exists:1 reiterate:1 finiteness:1 exploited:1 written:2 identification:1 closed:4 invariant:3 boundary:8 ends:1 einθ:1 configuration:2 garden:1 limits:4 always:3 freely:1 taking:1 la:1 equal:2 passing:3 masses:1 comment:6 ci:3 relevant:4 conclude:2 wall:183 cf:1 table:11 cp:5 ct:1 addition:3 trajectory:3 slowly:1 lr:1 define:3 describe:6 corresponding:11 eθ:4 sufficient:2 bulk:60 angles:1 last:5 dvali:2 present:3 splits:1 contexts:1 align:1 value:12 will:43 frameworks:3 revisited:2 abrikosov:3 layer:2 thus:15 hypermultiplets:2 surface:11 quantize:1 vs:2 dual:7 compactified:2 generic:4 radiation:13 cross:1 parts:2 schematic:1 units:2 finite:1 infer:1 difficult:2 infinity:6 effect:1 parametrized:2 infinite:8 expand:1 supercharges:2 center:4 confronted:1 well:9 bohr:1 thought:1 steffen:1 position:2 reintroduce:2 usual:1 less:1 obtain:11 underlying:1 conjugates:1 density:7 transparent:1 other:16 conjugated:1 match:4 five:1 know:2 press:1 immediately:1 loss:3 necessary:2 like:5 lost:1 sizes:1 alternatively:2 qualitative:2 vortex:7 become:6 δe:2 page:1 because:3 classical:3 vortices:1 compactifying:1 gauntlett:2 choosing:2 diagonalizing:1 happens:2 sufficiently:1 demonstrates:1 avoid:2 does:10 esc:1 expansion:1 although:4 stage:1 about:4 carried:1 freedom:6 dependence:6 carries:2 a2:6 insufficient:1 introduced:9 equally:2 own:1 previously:3 screened:2 bosonic:4 condense:1 quadratic:2 quanta:10 crucially:1 function:21 north:5 brane:11 but:9 volume:2 reminds:1 neutral:1 construction:5 eb:1 compute:1 instructive:4 whether:5 below:4 decays:7 limit:42 fαβ:1 demonstrate:1 problem:7 display:1 superpartners:1 denote:2 twist:3 interchanged:1 functions:8 compared:3 ingredients:2 detail:1 book:2 kinds:1 expressible:1 variation:1 vein:2 coupling:9 gαβ:3 4n:4 eθ2:1 4g:1 4e:3 |
0705.0380.txt |@word mennella:1 holman:3 since:13 ida:2 lack:3 results:2 amorphous:34 four:10 eccentricity:2 debris:5 higher:4 broader:1 edu:9 consists:2 remarkably:1 disk:83 contributions:1 layers:1 whose:9 later:1 fellowship:1 tv:1 tw:10 white:3 cess:1 quadruple:2 ıa:1 contract:3 finally:1 program:2 av:5 aut:1 indications:1 umich:2 reddening:4 presentation:1 indicating:1 2mass:2 administered:1 attempts:1 jensen:1 outside:2 very:8 implicitly:1 rise:1 account:3 rogue:2 shetrone:1 should:3 anonymous:1 resonant:2 affect:2 difference:1 encounter:1 mathis:7 hya:8 coeval:1 evolved:2 level:3 did:4 positions:2 joel:1 inclinations:1 colors:6 correct:1 large:10 solved:1 science:1 small:14 massachusetts:1 smith:2 midplane:1 noted:2 shed:1 configurations:1 upper:6 jupiter:1 smaller:7 computation:1 consistent:3 conceivable:1 direct:1 surrounding:1 second:2 christensen:1 timescales:1 displays:1 spectrograph:1 chen:1 further:3 dynamics:1 estimated:4 gm:1 spectral:8 appear:3 rate:1 ara:1 sum:2 slight:1 while:8 expressed:2 thickness:1 reminiscent:2 template:1 order:6 consisting:4 copious:1 temperatures:3 coefficient:1 compact:1 full:2 led:1 lee:2 excludes:1 matches:1 mechanisms:2 component:48 dissipates:1 here:1 understanding:2 objects:6 issued:1 separation:2 excess:16 alone:1 iras:3 along:3 strong:1 observing:1 appears:2 obtained:7 boden:7 delimited:1 compute:1 dominik:1 institute:3 involved:1 increasing:1 larger:13 funded:2 mx:1 suggests:3 amount:4 periodic:1 resulting:2 telesco:3 dra:1 california:2 adopting:2 narrow:1 hydrae:2 composed:2 probable:1 via:1 cabrit:1 campaign:5 scales:1 explained:5 kuiper:1 dennison:1 caltech:1 apj:28 patience:1 tp:1 tokovinin:2 apply:1 opacities:3 total:2 morelia:1 cloud:1 sky:1 use:1 eye:1 figure:16 photospheric:9 ager:2 subtract:1 oak:1 nelan:1 tightly:1 next:2 tauri:3 few:4 aur:1 m1:1 therefore:2 m3:1 averaging:1 taken:1 robertson:1 associated:1 panel:1 type:9 possible:2 more:4 separated:3 flat:1 chromospheric:1 th:2 akeson:1 becomes:1 inclined:1 stable:6 corrected:3 emission:33 surprisingly:1 unstable:2 visual:1 uncertain:1 normalized:6 sharply:1 particular:5 known:3 hole:1 iii:1 kenyon:8 must:2 sample:1 none:1 include:1 zuckerman:2 integrating:1 mm:9 zubko:2 torques:1 work:2 mi:5 array:1 ere:1 values:7 thin:44 fe0:1 henry:1 following:1 under:2 l129:1 ın:3 example:2 vary:1 protoplanetary:4 tau:1 weaker:1 indicated:1 process:1 referee:1 grant:1 high:3 indicates:3 slit:4 assumptions:1 walsh:1 tidally:4 sharp:1 confirmed:1 opposed:1 occur:2 absolute:1 bestfitting:2 arbor:1 varied:1 service:1 rather:2 clarke:2 means:1 moves:1 carries:1 species:7 regions:7 located:2 quillen:2 strom:5 axis:2 parameter:2 map:1 tried:1 spitzer:5 koerner:7 may:1 papiit:1 warm:1 earlier:1 derived:5 orbits:3 lac:1 millimeter:1 produce:1 distances:1 fits:8 ties:1 wizinowich:1 law:3 revealed:2 constants:2 efficiently:1 included:1 burns:2 short:4 dynamical:1 third:1 object:1 sr:7 spectra:6 separations:1 st:7 quadrant:1 provide:1 gap:5 sh:11 so:5 progressively:1 sl:7 dereddened:3 first:4 discussion:2 typical:3 wavelengths:4 interpretation:1 similarities:1 schwartz:1 enter:1 soderblom:11 over:6 zook:2 mainly:1 fν:3 cohen:2 years:3 symbols:1 held:1 paper:4 through:4 elevated:1 astrobiology:1 still:4 avenue:1 its:11 aj:7 style:1 derive:5 rapidly:1 thank:1 fit:22 acknowledge:1 inward:1 masses:6 lh:11 circumstellar:6 better:5 absence:3 primordial:2 marsh:2 systems:2 main:1 might:7 spectrophotometric:1 underestimate:1 navascues:2 good:5 halt:1 concentrating:1 entire:1 surrounds:1 material:7 innermost:1 fig:15 introduce:1 platais:1 scaling:1 band:6 effects:2 they:3 half:1 feature:5 products:1 yr:3 discuss:1 association:3 represents:2 lamy:1 crt:1 lies:2 january:1 university:4 presented:1 identified:2 infer:1 harbor:1 migrate:2 fabian:2 mode:1 each:6 found:3 photometry:7 decreasing:2 side:1 characterized:3 mean:3 retrieve:1 telescope:2 fairly:1 generation:2 density:1 energy:2 universities:1 rwall:1 idea:1 used:6 group:1 constitute:1 gaps:1 bromley:2 alessio:6 sketched:2 substantially:1 our:18 prato:14 beyond:5 thick:31 out:12 category:1 shown:12 space:3 res:1 surrounded:4 projected:1 lir:1 research:1 particles:4 collisions:4 extrapolate:1 planes:1 dominated:2 eccentric:4 suggesting:3 formula:1 squares:1 supports:2 plotting:1 sculpting:1 shows:1 torres:4 creating:3 after:2 linear:1 interactions:3 frank:1 sio3:1 activity:1 ısica:1 bldg:1 mapping:1 campaigns:2 subtended:2 formation:4 imaging:1 onoma:1 estimate:2 hand:2 heat:1 generate:4 publication:1 unique:1 unresolved:4 silicate:10 regarding:1 angle:7 created:1 starts:1 could:7 transition:21 10µm:1 motion:3 caption:1 length:1 ism:3 universidad:1 onto:1 frequent:1 extinction:2 origin:1 already:3 features:7 astron:1 prevent:1 number:2 stsci:1 skrutskie:3 temporarily:1 adopted:6 ring:10 fluxes:11 size:1 soter:1 begemann:1 given:7 perturbation:1 temperature:8 jet:2 width:6 introduction:1 data:7 top:1 structured:2 acting:1 system:22 construct:1 sargent:3 mutschke:2 their:6 blackbodies:1 perturbations:7 observations:11 calculations:2 stefanik:1 gaseous:1 ordered:1 especially:1 coulson:2 final:1 low:8 fraction:2 mostly:1 ratio:2 wavelength:11 tool:1 l137:1 lists:1 sizable:1 calvet:11 somewhat:4 constituent:1 weintraub:2 than:16 hines:1 distance:5 l41:1 molecular:1 l47:1 target:1 accordance:1 drift:1 likely:17 project:1 matter:1 determined:8 venture:1 were:12 pasp:1 toward:1 steep:1 scuba:1 truncating:1 m2:2 absorb:1 modeled:2 l185:1 scarcity:1 lines:6 ann:1 ages:1 michoac:1 survey:1 kastner:2 dash:3 substantial:3 depleted:1 becklin:1 seen:3 seem:2 confirms:2 clearly:1 lie:2 rochester:6 cascade:1 sitko:1 rout:4 responsible:4 able:4 mid:10 note:7 extracted:3 fitting:7 causing:1 k7:1 k5:7 photosphere:7 negligible:1 l115:1 puffing:1 explanation:1 silicates:5 rebinned:1 even:6 play:4 towards:3 multiple:1 lubow:4 though:4 l55:1 replenished:2 who:2 centro:1 extending:2 overlapping:2 significant:1 accreting:3 phase:1 cleared:4 class:1 moro:2 exico:3 narrowest:1 latex:1 mitigate:1 cause:2 subtracted:4 consist:1 neighboring:2 calculated:4 2πrdr:1 flow:1 inferred:1 typeset:1 ks:1 trapped:1 optical:15 comprise:1 poynting:1 propulsion:2 physics:2 section:2 fact:4 laws:1 planetary:1 hammersley:1 signatures:2 particularly:1 show:1 brightness:1 text:1 detection:1 supported:1 infrared:23 scattering:1 implying:4 bright:1 mg0:1 postdoctoral:2 faster:1 pump:1 d2:3 coku:1 ground:1 muzerolle:3 wilner:1 giant:1 based:6 parameters:3 duncan:2 explain:2 planetesimals:2 enough:2 peculiar:2 semimajor:2 only:4 micron:6 judged:1 factor:3 emitting:2 burkert:2 ex:1 do:2 extent:2 mixture:2 dominant:2 above:3 wide:1 dependent:2 compiled:3 michigan:1 de:2 overall:1 processing:1 yielded:1 joint:1 cannot:2 listed:1 despite:1 during:2 respectively:5 tbb:6 collisional:1 barlow:2 alexander:2 gray:4 evolution:3 resolve:1 continuum:1 transitional:2 colangeli:1 luminosity:1 arxiv:1 yield:1 arrays:1 bad:1 larwood:2 mapped:1 albeit:1 excesses:1 fixed:1 gravitational:8 lbol:1 barrado:2 reveals:1 bars:1 set:1 computed:2 achieved:1 bary:2 liou:2 hα:2 respect:1 latham:2 observed:6 gehrz:2 see:6 individual:1 radius:4 result:5 operated:1 close:8 cold:1 best:14 subject:1 vertical:2 gladman:2 clearing:3 yields:2 irs:23 rings:1 below:5 µm:64 wiegert:3 behind:1 smallest:1 hipparcos:1 between:18 probably:3 approach:1 variability:1 comparable:4 najita:1 august:2 relative:2 megeath:1 edge:3 dmw:1 points:2 however:7 spectroscopic:5 would:5 furlan:6 distinguish:2 outer:14 ames:1 configuration:2 come:1 pixels:4 originates:1 suggested:1 both:7 diamonds:1 last:1 lai:1 hillenbrand:3 treated:1 region:24 uncertainty:1 equal:2 attributed:2 called:2 ghez:1 l147:1 circumbinary:8 absorption:1 contribution:5 comes:1 nearby:1 among:1 adjusted:1 ch:3 co:3 midinfrared:2 timescale:2 point:1 wall:19 effective:1 ca:1 corresponds:2 blackbody:9 height:3 na:3 werner:3 decreases:4 church:1 bν:5 crystalline:3 uchida:2 belt:1 considering:1 unusual:2 light:1 source:1 addition:6 jura:1 create:1 due:7 been:4 ad2:1 mart:3 pc:3 reduction:2 belongs:1 brice:1 combined:1 interest:1 expected:3 ph:1 improve:1 darks:1 location:3 settling:1 generating:2 arises:2 corresponding:1 formed:2 gas:10 various:2 spectrum:29 pringle:2 confinement:1 compromised:1 angles:1 krautter:1 improved:1 evidence:1 present:4 astrof:1 case:5 k2:1 atmospheric:1 processes:3 grains:36 solid:8 appearance:1 empirical:1 value:5 will:7 geophys:1 stauffer:3 proves:1 ongoing:1 match:1 error:1 luis:1 4796a:2 headings:1 artymowicz:4 detailed:1 studied:1 jpl:1 varni:1 almost:2 allows:2 dent:2 ir:5 thus:15 site:1 apjs:5 rin:4 increase:1 limit:5 carbon:14 technology:2 levison:2 greater:1 orbital:1 binary:18 different:8 pas:4 eccentricities:2 spheres:1 greaves:2 radiation:1 lett:1 same:1 any:5 member:1 nod:1 complex:1 virtually:1 grain:3 several:2 composition:7 interpolation:1 independent:2 ball:1 olivine:8 peaks:1 closest:2 photoevaporation:1 jayawardhana:5 effect:2 companion:1 levels:2 dust:60 mips:3 dullemond:1 passing:1 sed:13 center:2 older:1 calibration:1 well:6 roughly:1 analysis:4 without:1 thought:4 calibrated:2 residuals:5 components:21 sets:2 position:1 model:32 binaries:3 latter:1 bodies:1 left:1 noao:3 accretion:5 background:3 just:4 less:2 being:2 generally:1 l65:1 tdust:1 obtain:2 quarters:1 shape:3 mineralogical:1 forrest:4 previous:3 adding:3 enters:1 preprint:1 governed:1 conclusions:2 cornell:1 cherry:1 dorschner:3 seems:2 except:1 nacional:1 simple:2 pyroxene:14 spread:1 conacyt:1 board:1 weinberger:1 5a:1 smart:1 real:1 saturation:2 photometric:1 around:18 eroded:1 survival:1 implications:1 comparing:1 possibly:2 cruz:1 environments:1 aerospace:1 vacuum:1 unlikely:1 using:16 part:3 postal:1 nag5:2 scaled:2 necessary:2 like:1 particle:1 sizes:4 follows:1 disks:21 porous:1 sized:11 flux:13 krause:1 grants:2 indication:1 alternatively:1 accuracy:2 reduced:1 webb:5 poor:1 sketch:2 right:1 old:9 methods:1 namely:1 truncated:10 some:3 dwarfs:1 hartmann:14 growth:2 warmer:1 sight:3 table:8 images:1 mazeh:1 mccarthy:1 planetesimal:1 pleiades:1 scale:3 describing:1 shortwavelength:1 resonances:7 measurements:4 saar:1 comments:1 moon:1 does:4 linearly:1 provides:1 assuming:5 steps:2 three:2 displayed:2 inclination:3 pr:2 varying:1 noise:1 forces:1 ba:4 bb:4 protoplanet:1 uniformly:1 equivalent:1 radial:2 notable:1 clearer:1 stellar:5 occurred:1 tidal:3 emulateapj:1 properties:1 stage:5 sub:8 about:12 central:2 carried:2 most:3 column:2 traces:1 plaza:1 drag:3 o:2 angeles:1 range:6 wolf:2 steadily:1 mahoney:2 improvement:1 slightly:2 software:1 l37:1 presence:8 stitched:1 sylvester:2 into:2 within:1 interstellar:1 nsf:1 ucla:2 pair:7 references:1 determine:2 fisher:3 actually:1 fixing:1 1999a:2 uncertainties:2 1999b:1 ridge:1 additional:1 extraction:2 artifacts:1 assumed:3 support:2 sequence:1 acknowledges:1 spiral:1 long:7 plotted:5 dispersion:1 los:1 panels:1 henning:2 inner:30 stars:8 budd:2 astrophysics:1 blackman:1 hen:13 analyze:1 was:18 assumes:1 unam:2 function:3 tight:1 underestimated:1 medium:1 north:1 form:2 hr:2 forming:3 differences:2 but:5 astro:2 draine:2 repeated:1 magnitude:1 survived:1 mnras:4 line:13 true:1 hd:65 observation:2 volume:1 made:3 applying:1 places:1 whether:1 inside:4 constrained:4 up:4 us:2 planet:5 placed:2 tucson:1 those:1 houck:2 continuously:1 unusually:1 distribution:4 stages:1 similar:3 display:3 stirring:1 expect:1 aa:3 ab:3 constant:1 exerting:1 prevented:2 certain:1 abstract:2 myr:11 influence:1 direction:3 fellow:2 dashed:5 single:2 lived:4 au:37 subtraction:3 planets:1 laboratory:2 truncation:1 az:1 apartado:1 approximated:1 triangles:1 constructed:2 ni:3 puzzling:1 dotted:3 no:4 amounts:4 corporation:1 there:1 edwards:2 when:2 detail:1 event:1 power:1 ny:1 acton:1 other:7 role:4 details:3 holding:1 spatial:1 department:3 mass:10 distribute:1 pi:3 ar:1 icarus:2 optically:69 area:1 apparent:2 star:17 generates:1 collaborative:1 provided:1 models:10 mismatch:1 fazio:2 june:1 carpenter:1 taurus:2 includes:1 a1:1 radioastronom:1 generated:1 peak:1 variable:2 lunar:4 song:1 astronomy:3 higdon:2 structure:7 jones:2 bulk:1 implies:1 longer:3 l63:1 starting:2 factors:1 modules:1 orbit:3 together:2 depth:11 nasa:10 arisen:1 lying:1 time:1 far:1 quantity:1 resolution:1 orders:1 |
0705.0381.txt |@word represent:6 thiery:1 transitions:4 consider:1 illustrates:1 induces:1 dynamic:7 results:8 yellow:1 scalar:1 entropy:1 cooperative:1 edu:3 follow:3 research:1 contributions:1 centers:1 relationships:2 particles:10 inverse:1 depend:4 tx:2 similarity:1 vs:1 finally:3 monotonically:3 those:4 weakening:1 must:2 indicating:1 r12:6 kumar:1 very:5 eckert:1 implicitly:1 continues:1 differently:2 induce:1 focus:2 denoted:1 dimensionalized:1 figs:2 dispersions:1 experimentally:1 zaccarelli:3 difference:1 gov:1 reciprocal:4 level:1 large:4 ossler:1 scalings:2 testable:1 science:4 small:1 speculation:3 rapaport:1 noted:1 configurations:1 oliveira:2 glassy:2 slower:1 broader:1 ten:1 foundation:6 trend:2 consistent:2 empirical:1 surrounding:1 second:1 displays:2 isochores:4 qualitatively:3 dynamics:14 chem:14 even:4 what:3 errors:1 appear:1 cast:1 3s:2 deeply:5 section:10 near:3 cell:1 suspect:1 above:3 values:7 net:1 increasing:7 acknowledgments:1 filled:2 condensed:3 simultaneously:1 bartsch:1 degree:2 ranged:2 respectively:8 here:4 understanding:2 water:12 reported:1 explore:6 compressed:1 separation:1 excess:1 concluding:1 ratio:1 along:7 quite:1 appears:2 change:3 obtained:2 remarks:1 precursor:1 study:6 larger:3 allows:3 athermal:1 experience:1 suggests:1 amount:5 periodic:1 products:1 shaded:2 studies:5 plotted:3 diameter:4 via:3 mobility:13 highly:2 scaled:4 inequality:2 decrease:3 anomalies:19 translational:7 welch:1 apply:1 total:2 readily:3 suspensions:2 use:4 che:3 would:2 distinct:2 positive:2 give:1 negative:2 next:1 therefore:2 associated:1 type:3 theoretical:2 reflects:2 more:9 fractions:7 comparison:2 becomes:4 apparent:3 rearrangements:1 glass:23 transient:1 ganesan:3 impulse:1 particular:3 known:1 schowalter:1 cases:2 hold:1 iii:3 insights:3 md:1 keeping:1 indicates:2 sastry:1 recall:1 originally:1 work:3 theories:1 reproduce:1 suggestive:1 itself:1 crossed:1 temperatures:6 concepts:1 following:5 crocker:1 example:3 address:4 giovambattista:1 weaker:2 isochoric:7 figure:4 mirrors:1 poon:1 discussed:8 loci:1 ter:1 states:10 sphere:6 performed:3 slip:7 sense:1 sharp:1 isothermal:1 spc:1 yet:1 occur:4 bonded:1 information:1 respective:1 end:1 goal:2 provide:2 s2:64 discussion:2 holds:2 sloan:2 feature:1 recovers:1 chemical:3 how:10 nontrivial:2 criterion:1 errington:3 parameter:14 ensemble:1 product:2 mat:1 may:7 thermodynamic:2 earlier:3 alder:1 diagram:4 plane:4 fits:5 horizontal:2 law:1 data:20 isothermally:1 short:8 natural:1 dynamical:2 effective:1 onto:1 sw:40 correspond:1 torquato:1 cascade:5 maintain:1 so:4 expression:1 allow:2 correlation:2 representation:1 acknowledges:3 order:52 se:38 annu:1 aη:2 laboratory:1 indeed:1 over:5 panagiotopoulos:1 displayed:6 choose:1 symbols:3 course:1 thermal:2 paper:1 netz:2 motions:1 cold:4 arrangement:1 its:25 dynam:1 perfect:1 regions:1 rapidly:1 lc:1 fit:3 decay:1 interesting:3 yan:1 τc:4 exhibits:4 equilibrate:1 heated:1 attraction:1 foffi:3 stanley:1 systems:13 ent:2 weeks:1 main:2 might:4 texas:3 versus:5 eventually:1 non:2 motivated:1 schematic:3 cen:1 outlined:2 processes:1 scaling:9 repulsive:15 effects:2 they:8 now:1 discuss:3 structural:59 represents:4 finite:1 oxygen:2 university:5 presented:2 arrows:2 normally:1 displacements:1 sufficiently:2 magnitude:2 mode:1 reasonable:1 each:2 found:6 entirely:1 ıd:1 characterized:4 glasses:4 subset:4 development:1 square:5 nondimensionalized:1 fulcher:1 doing:1 ed:1 hard:6 gaussian:1 related:1 used:1 static:10 measure:1 our:6 happen:1 differ:2 eq:11 nonmonotonic:1 principles:1 emerges:1 ultimately:2 exponential:4 space:1 is2:5 furthermore:1 since:2 squared:1 investigate:4 douglas:1 denotes:1 increase:3 fellowship:1 investigation:2 health:1 ηt:4 formula:1 induced:2 issue:1 occurs:3 red:4 shows:2 asymptote:1 condens:1 after:2 approached:3 mσ:2 interactions:2 structurally:2 divergence:1 little:1 free:1 standard:1 completely:1 dependencies:3 formation:1 york:1 estimate:1 reflect:2 pairs:1 chakravarty:1 could:1 transition:9 david:1 introduction:1 length:3 iso:3 consequence:1 δr2:1 austin:4 support:3 first:4 szamel:1 striking:2 attractions:8 mittal:3 number:2 channels:1 clear:3 smaller:1 long:1 another:1 carry:1 open:3 gass:1 given:2 tacc:1 temperature:17 indicate:2 ordering:6 behaves:2 system:7 approximately:17 wainwright:1 electronic:4 their:4 cooling:10 intermediate:2 observations:2 alfred:2 molecular:13 weitz:1 shell:1 frustration:1 relationship:13 accurately:1 pham:1 branches:2 tive:1 representing:1 than:5 coefficients:21 begins:1 distance:1 liquid:15 showed:1 princeton:1 packing:22 sections:1 zero:3 aims:1 limiting:2 matter:2 computer:2 pairwise:2 viscosities:1 were:8 investigators:1 result:3 exhibit:5 fig:38 strengthen:2 lines:8 approaching:1 mind:1 locations:2 curves:2 crossover:6 raw:1 mater:1 manner:1 close:2 seen:4 lng:2 relatively:1 lie:1 strength:1 efficient:1 latter:9 able:1 exceedingly:1 note:6 instance:1 fitting:2 potential:2 hs:35 schematically:1 green:1 coincide:2 adopted:1 circles:3 blue:4 play:2 normal:1 measures:1 viscosity:18 most:2 boltzmann:1 significant:2 quantitative:4 phase:5 future:2 kb:6 deviations:1 tarjus:1 mobile:3 average:3 later:1 implications:1 points:8 exp:10 mechanical:1 velocity:1 physics:1 sum:1 fact:9 thomas:1 show:6 text:6 area:1 relation:32 threshold:1 subtle:2 trivial:1 find:1 impact:1 rev:16 slow:1 based:3 proposed:2 parameters:3 less:1 enough:1 should:3 hypothesized:1 only:7 black:1 helix:1 molecules:1 factor:1 local:4 accurate:1 achieve:1 equilibrium:14 do:1 slows:1 sharma:1 wide:2 dependent:3 connections:1 de:2 voigtmann:1 fluid:84 isotherms:1 cannot:1 nearly:1 words:3 despite:1 combinations:1 portions:1 dt:4 quantifies:1 dr:2 gotze:2 gel:2 gray:1 regarding:1 exhibiting:2 progressive:1 sperl:1 approach:1 schofield:2 arxiv:1 remove:1 tuned:1 fuchs:6 supercooling:4 experiments:2 predicted:1 though:1 distant:1 view:2 enhances:1 set:3 art:1 computed:1 physically:1 national:3 correlations:7 lett:4 relative:4 collectively:1 see:5 individual:2 changes:5 supercooled:19 fail:1 terms:2 institutes:1 utexas:3 wonder:1 phases:1 aforementioned:1 runs:1 nents:1 puertas:4 ways:1 diverge:1 colloids:3 state:10 determined:1 various:2 closed:2 between:25 drawn:1 boundary:1 conditions:12 accord:1 recently:3 vertical:1 nature:3 weak:2 however:8 hypothesis:1 extent:2 article:1 atoms:1 concentrated:1 both:18 σi:2 toward:1 last:1 limits:1 many:1 region:16 barely:1 rosenfeld:2 heating:16 called:1 sensitive:1 connection:7 context:1 envelop:1 heterogeneities:2 contribution:2 disappears:1 experimental:1 behaviors:5 presumably:2 dzugutov:1 point:6 reasons:1 aspect:1 relaxation:1 height:2 bη:15 simply:1 decreases:6 modeling:1 wider:1 ordered:1 crystalline:1 broadens:1 unusual:3 geil:1 described:6 lattice:1 computing:1 due:4 been:8 much:3 interest:1 basic:1 expected:5 anomalously:2 anomaly:3 disordering:1 interparticle:10 6b:2 relations:5 corresponding:3 quantities:3 concerning:1 formed:1 gas:1 essentially:2 new:3 buldyrev:3 observe:1 understand:1 6v:1 denote:2 diffuse:1 present:3 unlike:1 stillinger:1 solid:1 cts:1 examine:2 value:9 will:3 institute:1 while:5 shear:4 behavior:14 property:2 enclosed:1 couplings:7 studied:3 barbosa:2 vogel:1 vg:1 thus:5 them:1 iv:2 ii:4 examined:2 cond:1 return:1 vanish:1 technology:1 isochore:2 around:1 different:7 develop:3 author:1 generic:2 suggest:2 make:1 cumulative:7 cross:1 same:5 varies:2 φc:46 bethesda:1 resulting:1 dimensionless:2 several:5 couple:1 higher:5 breakdown:24 independent:1 nih:1 investigated:3 cubic:1 numerical:1 upon:19 effect:5 hand:2 fleischer:1 levels:2 liquids:7 wpk:1 fabbian:1 single:2 recent:4 obeyed:4 lower:8 narrow:2 hopping:1 diffusivities:2 nonetheless:1 well:9 roughly:1 extract:1 amounts:1 directly:2 does:4 simulated:2 organization:1 model:11 chemistry:1 self:31 maxima:1 distances:1 alluded:1 minima:1 being:3 generally:5 observed:6 moussa:1 press:3 identify:2 atomic:3 questions:2 differentiation:1 yamamoto:1 coordination:6 previous:2 heuristic:2 density:6 similarities:1 scales:1 ideal:2 onuki:1 simple:9 diffusivity:30 attractive:20 collapse:1 relevance:1 real:1 increased:1 depends:1 conclude:1 breaks:4 possible:1 test:2 increases:12 clustered:1 using:4 2nd:1 advanced:1 modifications:1 like:1 particle:12 systematically:1 follows:4 interestingly:3 microcanonical:1 pusey:1 either:2 become:4 soft:1 qualitative:3 cooled:1 because:2 methods:1 truncated:1 some:2 σi3:1 understood:1 trends:2 conclusions:1 transport:22 happens:1 pronounced:3 gradually:1 scale:3 colloidal:4 stronger:1 broad:5 avoid:1 measurements:1 fluids:29 contrast:1 behave:3 provides:1 ics:1 expo:1 saville:1 closely:3 demonstrated:2 venkat:2 bd:18 sillescu:1 power:1 plot:1 reach:1 equivalent:1 radial:5 onset:1 pressure:2 step:1 departures:1 although:3 sciortino:5 super:1 properties:14 simpler:1 stokes:6 about:4 sra:53 central:1 origins:1 blackburn:1 ediger:3 anomalous:5 dependence:2 simulation:9 practical:1 remains:3 range:21 obeys:2 concentrations:1 mean:2 other:13 cates:4 considerations:1 equally:1 cambridge:3 presence:2 into:5 within:2 integral:8 functional:2 three:1 down:5 pair:11 appropriate:1 right:2 determine:1 einstein:8 financial:3 reducing:1 clustering:1 diameters:2 compression:5 shells:7 crystallization:1 strictly:1 there:9 specifically:1 dispersion:1 detectable:1 low:8 fraction:14 was:1 function:13 considerably:1 form:6 metastable:1 forming:3 differences:1 but:4 idea:1 volume:2 gain:1 egelhaaf:1 line:7 highest:1 collapses:1 again:2 made:1 wise:5 packard:1 evident:2 whether:7 characteristic:3 truskett:7 below:2 limit:8 lucile:1 heterogeneous:2 distribution:7 panels:1 similar:12 calculated:2 strengthens:1 debenedetti:5 strengthening:1 constant:3 ad:3 6a:3 defined:4 coincides:2 describe:5 direction:1 general:4 levitt:1 engineering:2 exist:2 predictions:1 simulations:12 dη:20 dawson:3 russel:1 high:13 functions:1 compared:3 us:1 colla:2 no:1 asymmetry:1 dashed:5 whereas:4 when:8 graduate:1 chakraborty:1 interested:1 role:2 tartaglia:4 nat:1 department:2 correlates:1 out:1 jamming:1 deviation:2 picture:1 provided:3 models:1 time:3 uniformly:1 shown:11 william:1 meaning:1 important:2 peak:3 included:1 tmt:1 kivelson:1 reason:1 structure:11 correlated:3 coupling:5 tested:1 typically:2 required:1 curve:2 warm:3 mass:1 fitted:1 resembles:1 transiently:1 robert:1 |
0705.0382.txt |@word sensitive:1 chain:1 similarity:1 global:3 monojets:1 illustrated:2 eccentricity:1 entropy:1 comments:1 c2:2 sct:1 issues:1 increase:3 aligned:1 schiff:1 ac02:1 technique:5 vs:1 environment:1 finally:1 program:1 present:1 elliptic:3 under:2 atlas:52 suite:1 include:1 dramatically:2 accardi:1 supported:1 advantage:1 very:4 readout:1 electron:1 subevents:2 dij:1 list:1 correct:1 large:3 min:1 quick:1 enhance:1 cms:1 trt:1 zdc:4 como:1 heinz:1 villa:1 direct:1 aip:1 zero:3 design:4 dynamics:2 estimated:3 quite:2 goes:1 even:5 cover:2 section:2 near:1 access:2 version:1 reconstruction:12 new:2 acknowledgments:1 segmentation:2 full:9 degree:3 cal:2 component:1 here:2 understanding:2 ranges:1 reported:1 tracks:2 mev:1 cos2:2 groups:2 address:1 ratio:1 along:1 standard:2 change:1 cern:5 dokshitzer:1 study:12 allows:3 vogt:1 fourier:1 studies:6 involves:4 emerge:1 via:7 regardless:1 ions:1 straw:1 sample:1 highly:1 scaled:1 b343:1 fake:2 resolutions:4 quenching:1 tools:1 use:1 would:1 ψr:1 next:2 calculation:1 nucl:7 kinematics:1 qcd:3 themselves:1 theoretical:1 diagrams:1 more:1 th:2 upcoming:1 towers:4 factor:2 pairs:1 glass:1 commissioned:1 particular:2 calorimeter:13 upsilon:3 detects:1 effort:1 behalf:1 presumed:1 high:9 cleymans:1 thanks:1 equation:1 work:4 protons:1 modified:2 salam:2 remain:1 pressing:1 9th:1 learn:1 pioneered:1 making:1 relative:3 challenging:1 figure:15 give:1 process:1 relativistic:1 sps:1 ψrp:2 states:2 collision:5 minimum:1 purity:1 dijet:1 species:1 information:2 needs:1 monitoring:1 provide:6 means:1 copious:2 regions:1 far:1 hot:1 stemming:1 low:6 reject:1 tile:1 iancu:1 parameter:3 mueller:1 plans:1 may:2 thermodynamic:1 advice:1 invitation:1 rmax:1 applications:1 plane:9 designed:1 spectrometer:4 wave:1 cutoff:1 fm:4 lar:2 natural:1 dynamical:1 liquid:2 light:1 spectra:1 ψe:1 algorithms:6 sn:4 allow:1 definitions:1 order:3 typical:1 ackermann:1 baier:1 office:1 nucleon:1 developed:1 over:5 insight:1 tev:1 produced:2 course:4 thermal:1 through:1 statistical:1 reconstruct:4 mentioned:1 suffer:1 its:5 before:1 indispensible:1 longitudinal:2 thank:1 decay:3 energies:4 interesting:1 subdetectors:1 subevent:1 qgp:1 late:1 estimating:4 quarkonia:4 production:6 microscopic:1 systems:1 total:1 mail:1 pixel:3 eur:2 them:1 good:2 affected:1 material:1 evolution:3 number:1 subtraction:3 they:3 front:1 inelastic:1 discuss:1 above:5 easily:2 fully:2 reasonably:1 cell:1 identified:1 magnitude:2 huovinen:1 each:3 found:1 difficult:1 characterized:1 strikman:1 em:3 parton:5 hadronic:6 energy:13 hard:2 essentially:1 related:1 decays:2 ex:3 astroparticle:1 measure:4 laboratory:1 ghosts:1 beyond:2 event:9 special:1 out:3 shown:11 dominates:1 rp:1 space:2 since:1 rev:5 particles:8 collisions:17 nominal:1 mγ:1 max:1 formula:1 gov:1 issue:1 integrated:2 shows:5 zdcs:1 working:1 interactions:1 mechanisms:1 pub:1 quark:2 intensely:1 estimate:1 earliest:1 problem:1 log:1 advance:1 enormous:1 backwards:1 r2:1 atl:1 transition:1 days:1 noted:1 silicon:2 assumed:1 undergo:1 south:1 first:4 peigne:1 major:4 initial:2 features:2 manuscript:1 powerful:1 primary:1 minijet:1 set:1 done:2 fast:2 directly:2 mips:1 reached:2 quality:1 angular:2 size:1 management:1 jet:16 introduction:1 data:8 condensate:1 system:6 approximately:1 intense:1 their:3 patterns:1 rates:2 calculations:1 white:2 98ch10886:1 peripheral:1 gives:2 excellent:2 tool:1 braun:1 transverse:4 argon:2 part:1 x2:4 lhc:13 wide:3 colleagues:1 effective:1 sections:1 enabled:1 rate:2 ranging:1 reconstructing:1 matter:2 were:1 providing:1 distinguished:1 lowest:1 rad:1 sees:1 raa:1 generation:1 modern:1 seed:2 analysis:2 seen:4 clearly:1 strength:1 angle:3 built:1 depending:1 studying:2 able:3 consortium:1 note:1 ideal:3 without:2 take:1 performance:3 detector:16 towards:1 unless:1 components:1 collaboration:1 most:5 optimized:1 importantly:1 encodes:2 letter:2 preliminary:1 phase:1 measured:2 probes:2 laboratories:1 especially:2 considered:2 average:2 detectors:6 hemisphere:1 pseudorapidity:11 points:1 electrons:1 kt:3 brookhaven:1 barrel:3 charged:5 physics:27 technical:3 precise:1 selection:1 show:1 text:1 probe:3 merit:1 multiplicities:3 find:1 impact:2 current:1 based:2 collaborators:1 controls:2 should:3 only:2 experiment:1 candidates:4 indeed:1 oct:1 oeschler:1 dn:3 dm:1 handle:4 gev:24 get:1 contracts:1 de:1 colliders:1 shanghai:1 preparing:1 invariant:1 report:3 ultraperipheral:3 procedures:1 processes:2 resolve:1 densities:1 emc:4 emb:2 luminosity:2 arxiv:7 yield:3 hydrodynamic:2 contain:1 including:1 remains:1 kt2:1 ψep:4 phobos:1 national:1 cuts:1 maximum:2 connections:1 see:2 wiedemann:1 radius:1 close:1 uncorrelated:3 detect:1 interacting:1 ways:1 nuclear:2 currently:2 symmetric:2 state:2 various:3 between:1 progress:3 venugopalan:1 ability:3 extend:1 emitted:2 combining:2 however:2 efficiency:6 key:1 jets:13 group:1 pixels:1 monitor:1 both:8 cos:4 hermetic:2 many:3 region:3 density:2 explore:1 chosen:1 figures:3 context:1 hijing:6 contribution:1 estimation:1 expression:1 experimental:4 otherwise:1 strongly:1 relevant:1 author:1 color:1 addressing:1 environments:1 probing:1 lhcc:3 considers:1 speak:1 conference:1 collider:1 pt:14 basis:1 acceptance:9 detected:1 been:2 quickly:1 pb:6 extraction:1 trigger:2 azimuthal:2 degrees:1 ph:2 covering:1 universal:1 fig:15 direction:1 relations:1 reaction:8 quantities:2 formed:2 gas:1 precision:2 bulk:2 offers:1 dramatic:1 angles:1 clusters:2 establish:1 ruuskanen:1 those:1 case:1 budget:1 evaluated:1 will:25 cast:1 while:7 steinberg:2 situation:1 leaves:1 procedure:2 layer:5 phenomenological:1 averaging:1 refs:1 thus:6 redlich:1 fakes:1 characterize:1 itself:2 conf:1 ready:1 different:7 italy:1 voronoi:1 make:3 radiation:1 cross:1 same:1 reconstructed:4 schematic:1 steps:1 modification:1 several:2 events:5 neutron:2 higher:1 development:1 independent:2 used:9 kjt:1 effect:1 kit:1 ion:30 running:2 hydrodynamics:1 robust:1 recent:1 lower:1 tracking:9 so:1 minimize:1 calibration:1 well:7 deconfinement:2 thought:1 segmented:4 calibrated:1 spectator:1 position:2 tracklet:1 arising:1 left:9 muon:4 being:2 observed:2 rest:2 mid:1 tasks:1 identify:1 farther:1 questions:2 puzzling:1 previous:1 cut:2 upton:1 photons:3 had:3 signals:1 imposes:1 lett:5 samples:1 bnl:1 unprecedented:2 momentum:4 real:1 saturation:1 aspects:1 showing:1 results:3 early:5 tracklets:2 takai:2 background:6 clustered:1 using:5 unique:1 rhic:8 loss:1 necessary:1 like:3 particle:13 collective:1 alice:1 serves:1 continue:1 yields:6 always:2 become:2 tower:2 soft:1 signal:1 shed:1 right:9 czech:1 subdetector:1 some:1 back:2 emcal:3 kolb:1 multiple:1 peter:1 matching:1 rapidity:3 another:2 vol:1 scale:1 dense:1 electromagnetic:4 tube:2 measurements:5 per:1 mesons:1 tracker:2 provides:1 excluding:1 fragments:1 moderate:1 proc:1 measuring:1 welcome:1 run:2 calorimeters:5 cgc:1 expansion:1 step:3 invaluable:1 properties:4 hadron:1 panel:5 comparison:1 about:1 central:5 kinematic:2 munzinger:1 freedom:1 dimuon:1 discussed:1 o:2 essential:2 probabilities:1 range:7 estimator:1 nucleus:2 slightly:2 software:3 organizers:1 heavy:31 suited:1 presence:1 into:6 within:2 splitting:1 down:2 2v2:1 references:1 primarily:2 centrality:3 utility:1 statistics:1 hep:2 additional:1 intrinsic:1 unmodified:1 there:1 question:1 amidst:1 hydro:1 inner:6 forward:13 was:2 suppression:3 function:7 medium:2 north:2 complete:2 reduce:1 preparations:1 sophisticated:1 volume:2 neutral:2 ec:2 muons:3 true:2 adler:2 subtracted:1 fragmentation:2 applying:2 embedded:1 versions:1 whether:2 multiplicity:2 cells:2 up:2 us:1 entails:1 below:3 limit:1 fluctuations:1 distribution:1 athena:1 similar:2 medical:1 detailed:3 constant:2 inclusive:4 defined:1 flow:4 abstract:1 measurement:3 covers:6 general:1 v2:4 single:2 simulations:2 dη:1 endcap:4 functions:1 completeness:1 ideally:1 variety:1 when:2 proceedings:1 ep:3 ny:1 other:1 department:1 really:1 cerenkov:1 conclusion:2 longitudinally:2 spectators:1 calculating:1 separate:2 models:1 photon:4 lucid:2 azimuth:1 vertex:1 prepared:1 generated:1 important:1 intent:2 pythia:1 coverage:3 strips:2 structure:2 ghost:2 algorithm:5 tested:1 dφ:1 typically:4 cacciari:2 mass:2 broad:2 observables:2 nuclei:1 backward:1 resolution:13 |
0705.0383.txt |@word represent:1 monte:7 consider:3 varying:1 results:2 niedermayer:1 four:2 computation:1 edu:2 remarkably:1 involved:1 concerned:1 technique:1 removal:1 program:1 indicate:1 those:3 under:6 vel:1 include:1 indicating:1 applied:1 supported:1 string:20 straightforward:1 very:2 choice:3 every:2 difference:5 exact:2 condition:12 staples:2 presented:1 turns:1 occurs:1 large:3 phase:1 small:3 configurations:6 jhep:1 employing:2 slower:1 findings:1 renormalized:1 consistent:5 plaquette:19 approximation:2 zero:1 correlator:4 further:1 carlo:7 canonical:1 even:2 what:3 errors:6 stands:1 section:2 axes:1 above:1 obvious:1 increasing:4 method:6 contrast:3 satisfy:3 chose:1 prescriptions:2 hasenfratz:2 finetuned:1 spacing:5 here:4 provides:1 reported:1 tracks:1 separation:1 represented:2 standard:3 appears:3 change:6 simulating:1 obtained:10 shift:2 study:5 vectors:1 allows:2 reason:2 commonly:2 amount:3 resulting:3 procedure:6 action:77 forcrand:2 suitable:1 studies:6 involves:1 plotted:1 appropriately:1 adjustable:2 family:1 scales:4 vof:2 marked:1 staple:2 unit:2 plot:2 use:7 decimations:8 proceed:1 usa:1 d75:1 spacings:2 suppl:1 next:1 discrepancies:3 comparing:1 nucl:2 therefore:1 qcd:1 assessment:1 entails:1 reflects:1 more:4 smeared:1 demon:3 naive:2 tested:1 correspondingly:1 sharply:1 particular:3 known:2 vo:1 blocking:9 must:3 high:1 rotational:7 divorced:1 necco:1 work:2 sweeps:2 values:12 following:1 rescaling:1 example:1 compare:1 renormalization:13 figure:3 purposes:1 δv2:1 involve:2 indicates:1 sense:2 sharp:2 times:1 quark:10 axis:4 counting:1 end:1 hoc:1 provide:1 hasenbusch:2 feature:1 far:1 optimal:5 parameter:7 ensemble:24 tension:16 product:1 paramount:1 description:1 may:7 after:7 explored:2 lat:9 data:1 consisting:1 pinn:1 short:10 effective:36 coupling:2 quantify:2 lines:2 su:9 perform:2 so:5 fundamental:4 correlation:1 intersect:1 representation:17 order:2 typical:3 operations:1 closely:1 tomboulis:4 indeed:1 over:7 displayed:1 satisfied:7 years:1 paper:2 including:1 differs:1 satisfies:1 its:2 blocked:16 perfect:1 group:11 symmetry:1 chosen:2 fined:1 vicinity:1 exhibits:1 better:2 ogilvie:1 window:1 coarsening:15 fig:9 mail:2 main:1 acknowledgments:1 good:3 introduce:1 framework:1 therapy:1 effects:11 they:2 b577:1 matched:2 represents:1 february:1 several:1 always:3 2a:9 each:3 found:9 entirely:1 erratic:1 bond:4 lat2006:1 weighted:1 weight:3 gaussian:1 used:2 static:10 expect:1 measure:3 loops:1 our:6 beyond:2 eq:1 adequately:4 out:5 shown:1 3rd:2 space:4 restricted:2 since:1 rev:5 denotes:2 takaishi:1 rg:3 denoted:2 dominate:1 dsb:16 correct:3 shows:3 theory:5 interactions:4 replicas:1 free:1 quite:2 completely:2 term:1 generate:1 shortest:1 definition:1 retained:1 could:1 keep:1 length:3 produce:1 pos:1 specification:1 adjoint:1 βj:2 first:1 origin:1 probability:1 variables:6 improving:1 spinning:2 antiquark:2 adopted:1 another:3 carry:1 size:3 given:1 necessarily:1 temperature:1 start:2 introduction:1 top:1 least:2 needed:1 intermediate:2 listed:1 gives:2 shifted:1 sizable:4 part:2 somewhat:1 b338:1 eliminated:2 representing:3 than:2 updating:1 distance:10 double:1 summary:1 see:1 matter:1 were:6 extracting:1 sees:1 reproduces:1 separations:2 agen:7 substantial:1 need:2 seen:3 any:6 relatively:3 paths:1 wilson:9 issue:2 self:8 note:1 extracted:2 fitting:1 potential:16 take:1 gocksch:1 play:1 towards:2 multiple:1 degrand:1 though:2 collaboration:1 enter:1 falls:1 most:1 boltzmann:1 polyakov:4 decimation:30 measured:2 class:1 inconsistency:1 deviations:5 cause:2 artefacts:1 considered:1 adopt:1 flow:1 wiese:1 points:3 principle:1 mcrg:15 effect:7 typically:3 χj:2 fact:4 quantity:1 precise:2 violation:1 probe:1 gauge:7 subtle:1 fine:9 find:2 ensembles:5 parameters:4 produces:3 distributed:1 outside:1 only:1 factor:6 employed:3 adequate:2 pointed:1 rectangle:3 equilibrium:13 do:3 dj:1 goes:1 means:4 de:2 overall:2 unimportant:1 cannot:2 nearly:5 words:1 invariant:1 lattices:7 distortion:3 procedures:3 gen:3 runs:3 arxiv:1 tuned:6 obscure:1 fixed:1 pertains:1 coefficient:1 requirement:2 set:1 computed:5 okawa:1 relative:1 depends:1 computer:1 result:4 fail:2 close:1 nonequilibrium:1 closer:1 away:2 equal:3 identification:1 state:1 various:1 correctly:1 between:5 probably:1 before:1 approach:1 wide:1 comparable:1 terms:5 reproduced:2 vertical:1 wn:1 attention:1 however:8 vanishing:1 extent:2 configuration:1 thank:1 faced:1 received:1 prescription:5 weisz:1 according:1 fulfilled:1 propagation:1 present:1 σr:1 expense:1 expression:1 among:2 presumably:1 conclude:1 had:1 ca:1 sweep:3 dimensional:1 directions:1 simply:1 wider:2 table:10 worthwhile:1 longdistance:1 tuning:7 basis:1 addition:3 trajectory:1 ucla:4 been:6 b428:1 expected:3 direction:1 rather:3 corresponding:2 efficacy:2 both:1 sufficient:1 formed:1 subspace:1 selfconsistency:1 dramatic:3 external:1 improved:6 lgt:2 case:5 multi:11 straight:1 swendsen:5 value:14 choices:2 will:4 near:2 behavior:2 error:1 properly:3 couplings:6 loop:2 planar:1 larger:1 almost:1 von:1 thus:2 discrepancy:1 wilsonian:2 itself:1 technology:1 examine:1 increased:1 different:8 generic:1 belong:1 same:2 clearly:1 shorter:1 unity:1 virtually:1 units:3 physical:2 investigated:1 affairs:1 sums:1 numerical:3 monotonic:1 hand:4 v0:9 phy:1 purpose:1 potentials:4 invariance:6 tune:1 recent:1 off:4 largely:1 changes:1 well:3 academic:1 without:3 services:1 consistency:8 entry:1 model:15 usual:1 distances:9 less:1 being:2 generally:2 observed:1 obtain:2 actions:3 reviewed:1 sources:1 alternative:1 yet:1 previous:4 cut:1 application:4 heatbath:1 point:1 character:1 except:1 improvement:11 lattice:40 belongs:1 lett:6 transformation:5 match:1 around:1 checking:2 measurement:1 uscher:1 cf:2 test:4 know:1 confined:1 using:2 like:5 δv:3 microcanonical:4 manifest:1 separately:1 indication:1 starred:1 works:1 reduced:1 methods:1 deal:1 some:15 fixing:2 growth:1 slice:2 creutz:2 happens:1 scale:16 measurements:8 extensively:1 per:2 does:1 conclusions:1 proc:1 demonstrated:2 refer:2 run:1 agreement:3 departures:2 ratios:4 instability:1 properties:1 comparison:3 about:1 actual:4 would:3 extension:1 discussed:1 dependence:1 simulation:1 angeles:1 range:4 important:1 plus:3 adec:7 mixed:1 referred:2 block:2 outset:1 decimated:25 jn:1 into:2 within:1 nsf:1 due:1 nothing:1 appropriate:2 references:1 computational:1 hep:9 additional:1 possible:2 assumed:4 support:1 there:5 approximate:2 long:4 los:1 resulted:1 was:7 form:2 but:4 failure:3 construction:2 line:2 true:3 illustrative:1 truncation:6 compute:1 coulomb:1 evident:1 whether:3 inside:1 smooth:1 up:4 us:3 below:1 decays:1 problem:1 constant:3 ad:1 computing:1 defined:1 abstract:1 describe:1 general:5 single:1 arises:1 simulations:2 explains:1 regime:5 chance:1 compared:2 taro:1 ideally:1 no:8 extract:1 whereas:1 when:1 field:2 other:8 details:1 becomes:1 department:1 mass:2 nt:1 conclusion:2 kinds:1 models:1 time:2 variation:2 generated:19 restoration:3 allowing:1 suited:2 included:1 astronomy:1 implies:2 longer:2 algorithm:1 assume:1 physics:3 interval:1 weights:1 tensions:4 observables:3 augmented:1 starting:2 original:15 classical:1 once:1 |
0705.0384.txt |@word ωmf:4 mv:7 2tc:1 πa2:1 dm:2 t¹:1 νm:4 d4:2 dµ:1 id:2 physical:1 πa:1 hep:1 log:1 ln:1 nc:2 ωn0:1 ideal:1 d3:1 aaµ:1 field:1 γi:1 4nf:1 πt:1 lq:1 m2d:1 ph:1 πm:1 tc:21 qq:2 mar:1 gλ2:1 kni:4 psb:3 σmf:2 iγ:1 nt:7 medium:2 a0:1 td:2 aµ:1 ji:1 snp:1 eiφ:1 x2:3 x1:3 2n:1 p2:5 md:4 mf:8 tº:1 pion:1 mc:17 χp:3 ref:1 trc:1 arxiv:1 kn:6 mev:6 mu:1 2g:2 ωni:4 exp:1 ωn:4 iaµ:1 sb:3 a4:1 mean:1 ia0:1 mps:7 jσ:1 |
0705.0385.txt |@word limited:1 ciao:1 caused:1 lack:2 results:1 four:2 disc:1 per:1 coincidence:3 morphology:2 row:1 bremsstrahlung:1 aug:1 dougherty:2 dickey:3 ts:3 send:1 contours:4 under:3 alberta:1 tb:9 indicating:2 summarizes:1 vla:3 bazer:1 lockman:2 difference:1 entire:1 kinematic:3 clouds:10 moderate:1 heasarc:3 shock:8 list:1 integrated:1 large:2 discrete:1 detected:7 science:5 small:2 relation:2 noted:2 upper:13 averaged:1 neighborhood:1 cooperative:1 foreground:1 vgps:6 estimates:2 surrounding:3 likely:7 street:1 enhancement:2 further:2 estimated:3 spectral:1 rate:2 t2n:1 giving:1 section:3 selected:2 near:4 uniform:1 3o:1 above:4 new:8 method:2 shocks:1 full:4 respectively:10 spacing:1 giant:3 ranges:1 china:2 directions:1 iras:1 along:2 strong:6 box:2 tian:10 l25:1 study:2 studied:1 funded:1 reports:1 suggests:3 survey:4 ctb:1 makes:1 goss:3 wardle:5 moffett:1 term:1 apr:1 explained:1 interarm:1 marked:2 apj:10 visible:1 remnant:3 unabsorbed:3 amherst:1 counts:4 total:7 tools:1 cloud:23 plot:2 use:3 usa:1 faint:1 negative:3 tww:1 calgary:2 yusef:3 vlsr:6 more:3 apparent:1 corrected:2 emission:55 arms:3 cases:1 enclosed:1 producing:1 must:1 abundance:1 crosses:1 ma:1 cas:1 presentation:1 work:1 oct:2 erg:6 temperatures:2 beijing:1 wang:8 figure:1 chosen:3 suggestions:1 high:12 indicates:1 salter:1 performed:1 coincident:2 standard:2 hydrogen:2 occur:1 ratio:2 information:1 stil:2 rays:5 rather:2 discussion:1 six:4 feature:10 regions:6 very:3 hot:2 adjacent:4 circular:4 profile:4 map:1 mar:1 galactic:9 may:4 after:2 space:1 respective:3 diagram:1 produce:2 snr:41 value:1 data:12 efficiently:1 short:1 natural:2 council:1 joint:1 counter:1 lines:4 sv:1 provide:2 green:3 rathborne:1 g18:75 bachi:1 order:2 typical:1 remnants:1 closely:1 astronomical:1 mainly:1 murray:1 interpreted:1 produced:1 thermal:1 paper:4 including:1 looks:2 motions:1 still:1 fwhm:1 its:1 positional:1 thank:2 maps:5 energies:1 facility:1 tsc:4 li:1 absence:2 fig:24 latitude:1 covered:1 τt:3 might:1 into:1 lx:2 non:1 motivated:1 dal:1 outlined:1 band:4 they:5 half:1 front:4 rotation:2 bank:1 densities:1 february:1 brightness:8 cygnus:1 university:4 sufficiently:2 grs:2 kpc:16 radial:8 crossing:3 found:1 2o:1 side:8 mean:3 telescope:2 scheme:1 energy:4 hard:2 kothes:3 w12:1 related:2 extended:1 ionosphere:1 our:2 beyond:6 array:1 out:4 canada:2 shown:4 jackson:2 factors:1 since:4 rev:1 research:1 fx:2 suggesting:2 formula:2 get:1 gov:2 occurs:1 shows:12 1n4:1 torres:2 galaxies:2 little:2 possibility:2 mapping:1 pleasant:1 completely:3 formation:1 encountering:1 estimate:4 publication:1 interaction:9 r0:1 could:1 area:4 plane:3 ism:2 hence:1 top:1 south:1 first:2 origin:1 features:19 manuscript:2 reveals:2 nhi:7 number:2 channels:2 xx:2 least:1 another:1 ring:3 angular:3 size:2 given:2 temperature:7 introduction:1 crossings:3 pspc:6 construct:1 their:3 assumption:1 ton:4 observations:12 consistent:2 molecular:27 tof:4 national:4 gives:4 shell:8 centered:2 parn:1 explanation:1 transverse:1 part:4 zadeh:3 than:3 observed:3 kind:1 observatory:3 xrays:1 summary:1 measured:1 see:4 goddard:1 smoothed:2 project:1 radius:2 dubner:10 tangential:1 spectra:22 diameter:2 boston:2 spectrum:5 correspond:1 seen:6 confirms:1 apparently:1 clearly:5 20o:1 ray:35 lie:1 angle:2 shocked:2 arm:9 note:1 extracted:3 potential:1 absorbed:1 take:2 frail:4 interior:2 so:3 appreciates:1 channel:4 even:1 towards:2 relatively:1 correlation:1 cordes:4 most:2 overlapping:2 significant:4 formulae:1 acknowledgements:1 intrinsic:5 doi:1 don:1 subtracted:2 considered:1 eisenhauer:2 clear:2 broadened:4 km:47 face:3 optical:2 leahy:8 ωd:1 velocity:19 physics:1 sum:1 lying:1 show:9 absorbing:1 authors:1 implying:3 bright:3 radio:26 brunt:1 superimposed:4 earth:1 find:1 aharonian:2 protrusion:3 indicator:2 based:4 parameters:4 15o:1 behind:1 should:2 only:3 factor:1 emitting:1 circle:1 local:4 over:6 achieve:1 do:1 distance:20 lobe:1 routine:1 tcs:1 beam:1 cannot:1 words:1 2mh:1 giacani:3 tbg:4 alexander:1 reveal:3 continuum:30 luminosity:6 arxiv:1 thaddeus:1 yield:1 across:1 nrao:2 4πd:1 roger:1 through:1 generations:1 view:1 caswell:3 rms:3 noisier:1 observer:1 physically:1 sensitivity:3 detection:3 intensity:9 individual:1 college:2 result:1 operated:1 close:1 τc:4 best:1 detect:2 interacting:3 extragalactic:1 reynoso:2 propagates:1 xray:2 enough:1 between:12 probably:3 boundary:1 reading:1 conditions:1 email:1 sciences:1 jy:1 nature:2 supernova:3 however:3 dmin:3 key:1 kev:7 summing:1 kes:1 improve:1 suggested:2 received:1 many:1 region:21 acknowledge:1 according:1 against:3 emit:1 sensitive:1 tangent:10 requests:1 l149:1 comes:1 nearby:3 originating:1 co:45 cm:18 point:15 sky:1 ca:1 corresponds:1 sampling:1 taylor:1 consideration:1 observatories:1 adaptively:2 smith:1 considering:1 broadening:1 described:1 second:1 come:1 romero:1 three:5 been:4 pc:1 morphological:5 combined:3 expected:1 ph:1 dame:3 obtained:3 direction:8 referee:1 corresponding:2 maser:2 observable:1 gas:4 locations:1 bulk:1 implied:1 careful:1 diffuse:7 present:3 solid:3 plasma:2 engineering:1 profiles:3 pixel:2 will:1 while:2 applies:1 fun:1 located:1 mitchell:2 taking:3 loop:1 lineof:1 associations:1 detailed:1 would:2 almost:1 thus:3 them:1 surface:1 helped:1 vr:1 plucinsky:1 around:2 different:1 inc:1 perhaps:1 border:1 same:4 html:2 potentially:1 northwest:1 widely:1 units:1 resulting:1 shah:1 several:2 higher:1 used:3 http:2 raymond:1 holdaway:1 hand:1 v0:1 phy:1 unpublished:1 contribution:1 recent:1 lower:8 off:2 center:3 minimize:1 penzias:2 edge:1 components:4 sets:3 position:1 model:4 left:9 gaetz:1 less:1 obtain:7 sources:3 shape:1 identify:1 atomic:3 alternative:1 previous:2 blow:2 ably:1 density:10 gmc:6 absorption:44 conclude:2 ofsight:1 akhperjanian:1 source:14 extends:2 association:5 universities:1 mh2:2 excited:2 masers:3 real:1 boxed:1 depends:1 bands:1 fcrao:1 possible:2 boxes:3 five:2 background:15 using:6 accepted:1 prominent:1 like:4 excluding:1 reduces:1 velocities:13 flux:6 yields:3 either:1 soft:1 signal:1 wwt:2 foundation:3 because:4 phenomena:1 searching:1 calculated:1 strongest:2 suppl:1 sight:6 table:4 images:18 exists:1 provided:1 dense:4 both:1 lead:1 roth:1 annu:1 integration:1 overlap:3 does:2 kms:4 assuming:3 ucalgary:1 mhz:15 gsfc:2 prob:1 demonstrated:1 noise:3 seconds:2 rosat:5 each:1 agreement:3 constructive:1 restrictive:1 filaments:1 plots:3 subtract:1 panel:2 comparison:3 about:3 carried:1 oh:7 column:7 arcmin:1 langer:2 decelerated:1 range:5 plus:2 wang3:1 peak:2 contains:1 presence:2 h2:4 image:17 within:7 interstellar:3 kassim:2 due:6 chris:1 right:10 references:1 determine:1 heated:1 proportional:1 additional:2 synthesized:1 inserted:1 support:3 there:10 spiral:6 dispersion:1 joseph:1 low:4 way:1 astrophysics:2 was:1 consists:1 considerably:1 north:1 w13:1 but:2 astro:2 failure:1 nh2:4 hi:46 solar:2 isotopic:1 line:16 highest:3 true:1 genzel:1 count:2 hartmann:1 whether:1 wish:1 welldefined:1 up:4 us:1 below:1 un:1 limit:8 pumped:1 distribution:1 panels:1 similar:3 average:7 bandpass:1 strongly:2 later:1 associated:10 defined:1 abstract:1 aj:4 evidence:1 single:3 slysh:1 flight:1 archive:1 sasaki:2 physical:6 puzzling:1 csmooth:2 no:11 dashed:1 lazio:4 when:2 detail:1 field:1 other:5 details:2 spatial:4 department:2 conclusion:1 star:1 separate:1 models:1 searched:1 variation:1 chance:2 massachusetts:1 coverage:1 included:1 astronomy:6 structure:1 exposure:1 offprint:1 independently:1 correlated:1 implies:3 age:1 required:1 curve:1 rule:1 depth:2 nasa:3 mass:3 time:1 far:2 resolution:13 |
0705.0386.txt |@word jacent:1 partial:4 consider:9 chain:7 magnetic:4 global:2 results:4 pfaffians:1 tripartite:2 pfeuty:1 entropy:3 computation:1 follow:1 remarkably:1 latorre:2 factorizing:4 devoted:1 whose:3 terms:4 calculate:1 knill:2 prin:1 finally:1 does:2 under:1 must:1 ın:1 threepoint:1 kundu:1 g2:3 g1:5 outside:3 far:5 pascazio:2 intriguing:2 induce:1 focus:4 electron:1 fan:1 entries:1 mixing:2 difference:2 matrices:4 cavalieri:1 condition:5 partitions:3 mathis:1 entire:1 school:1 hamiltonian:2 turns:2 fragile:1 large:2 brukner:1 progress:1 postselection:1 falci:1 eigenvalues:1 tognetti:1 configurations:4 upper:3 disordered:1 disciplines:1 haas:1 miur:1 located:1 zero:10 further:4 gm:1 even:5 will:9 what:1 appear:1 section:5 while:3 shares:1 uniform:1 ρii:2 above:3 international:1 increasing:6 method:3 temperatures:1 body:3 degree:1 exchange:1 loose:2 here:3 understanding:1 exceptions:1 plenio:1 focused:1 groups:1 others:1 oliveira:2 depend:1 along:3 appears:3 change:1 obtained:7 remark:4 suitably:1 study:11 studied:7 doria:1 experience:1 suggests:1 surely:2 studies:1 genuinely:1 invalidate:1 via:1 useful:1 classification:3 nearest:2 namely:1 marked:4 weaker:1 translational:1 total:1 would:5 prove:1 distinct:1 positive:2 negative:2 intense:1 few:4 depicted:1 program:1 shed:1 means:2 panel:4 type:7 more:8 sharing:1 organized:1 operators:1 carrying:1 particular:2 known:3 detects:1 effort:1 negativity:16 distilling:1 me:20 topic:1 roscilde:1 ρi:2 science:1 equation:1 work:3 roof:1 dei:1 values:5 three:31 following:5 cab:1 example:5 locc:4 persists:1 bell:4 give:2 process:1 bennett:2 distillation:2 states:15 σlx:1 performed:1 want:1 sense:1 yα:1 occur:1 thomas:1 looses:1 information:8 briegel:1 siy:1 six:1 feature:3 regions:2 how:4 varies:1 pure:2 answer:1 instead:1 mccoy:1 sin:4 de:3 blocks:3 description:1 barnum:2 may:12 oscillators:1 after:1 diagram:3 pqr:1 plane:1 demonstrating:1 share:9 npt:3 geometrical:1 concentrating:1 verstraete:1 types:2 short:3 light:1 lines:5 korepin:3 ghz:5 si:2 ones:3 so:3 allow:3 correlation:5 increase:2 bipartite:3 operations:1 holds:1 wigner:1 help:2 hierarchy:1 developed:2 over:3 insight:1 years:2 thermal:6 paper:3 through:1 wolf:1 statistical:1 existence:3 still:6 its:10 before:2 rigolin:1 bridges:1 moura:1 thank:1 trieste:1 jin:2 interesting:4 fix:1 wallach:1 fruitful:1 bipartition:1 resort:1 detected:1 microscopic:1 systems:4 main:1 might:2 setting:1 maximal:1 eventually:3 them:3 negativities:2 greater:1 combination:1 universality:1 audenaert:1 hyllus:1 verrucchi:1 mention:1 rank:1 they:4 identically:1 speculate:1 discuss:1 2t:1 easily:1 several:2 adjacent:1 σjy:1 always:4 university:1 presented:1 sufficiently:1 each:4 found:5 universit:1 difficult:1 macchiavello:1 characterized:1 subsystem:4 bravyi:1 energy:1 ppt:6 idea:1 related:2 investigated:1 variety:1 measure:8 quantum:23 our:5 transitions:1 eq:2 witness:2 out:6 emerges:4 shown:8 tangle:1 matrix:8 space:1 since:7 rev:35 research:2 particles:3 dying:1 get:1 ref:4 occurs:4 math:1 linear:1 written:1 divergence:1 free:11 cirac:2 completely:1 formation:1 besides:2 superiore:2 put:1 definition:1 pairs:1 interaction:1 created:2 could:3 transition:2 eβα:8 hence:5 first:5 separable:4 simplifies:1 features:2 symmetry:4 vedral:2 number:2 bipartitions:6 infinite:2 xy:9 done:2 long:1 directly:3 reached:1 precisely:1 size:4 given:1 necessarily:1 temperature:19 dipartimento:1 achieved:1 system:23 indicate:1 1b:1 1d:3 scheme:3 rosario:1 gives:1 exploring:1 transverse:2 employ:1 jordan:1 σkr:2 focusing:2 costantini:1 uhlmann:1 than:6 giorgi:1 ricerca:1 distance:5 kind:1 wootters:2 sections:1 depends:2 distill:1 correlators:4 viola:3 express:1 classes:1 pairwise:2 were:4 toward:1 pointed:1 ann:2 kitaev:1 any:6 multipartite:9 subsystems:1 strength:1 genuine:1 studying:1 latter:2 able:4 instance:3 high:2 generalized:2 new:1 beirut:1 gβ:7 trace:1 though:1 discerning:1 measures:1 centro:1 logarithmically:1 most:2 eisert:1 detect:4 significant:1 successive:1 phase:6 measured:3 class:3 sub:2 somma:2 especially:1 considered:3 average:1 partition:4 drive:1 physica:1 order:1 ext:1 principle:1 schulz:1 fact:8 emerging:1 particularly:2 phenomenon:1 show:2 violation:2 text:1 supported:1 osborne:2 analogously:1 chuang:1 fermions:2 find:3 ground:7 partners:1 based:1 scuola:2 parameters:1 ertesi:1 eαβ:1 distributed:1 state:22 goldbart:1 peculiar:2 rico:2 only:4 explicitly:1 indeed:2 acknowledge:1 hamiltonians:1 local:1 concurrence:4 equilibrium:1 do:2 mixture:1 handle:2 di:3 dependent:2 barouch:1 simplest:2 quantified:1 cannot:3 amico:3 despite:3 gen:1 areas:1 resource:2 arxiv:3 zαβ:3 summary:1 investigate:1 saturates:1 identify:1 valid:1 approaching:1 exists:1 sep:1 correlations:6 relative:2 see:12 enhanced:1 uller:1 discussions:1 close:3 violates:1 subject:1 hilbert:1 exploited:1 fisiche:1 inequalities:2 review:2 ranged:3 pisa:1 symmetric:4 enough:10 µi:2 between:36 drawn:2 geometric:1 approach:2 notice:1 suppresses:1 recently:4 extend:1 nature:4 qubits:6 transpose:4 attention:3 weak:2 however:3 distinguish:2 configuration:6 suppressed:2 both:9 cos:4 montangero:1 last:3 many:3 region:6 conclusions:1 connection:1 context:2 osterloh:4 qubit:16 whole:2 among:2 masanes:2 point:11 asymptotically:1 zzγ:1 harmonic:1 analyzed:1 diverges:4 non:10 invariant:1 wider:1 respect:16 described:6 tuning:2 source:1 alves:1 copies:1 been:8 much:1 anisotropic:2 ph:9 fig:20 oth:3 σkz:1 corresponding:2 deeper:1 suppress:1 sufficient:2 gas:2 maps:1 observe:1 oppenheim:1 external:6 catania:2 c2:1 c1:1 maximally:4 spin:62 present:9 case:18 globally:1 multi:1 tanh:1 solid:3 aim:2 fubini:1 near:3 behavior:5 situation:1 property:1 conformal:1 london:1 larger:3 coupled:1 vol:1 centr:1 von:1 thus:7 violating:1 cluster:1 reads:1 vs:3 different:10 italy:3 generic:3 3z:1 dγ:4 complex:2 quant:11 pauli:1 distilled:1 party:1 finite:3 grows:1 higher:2 clear:1 used:4 comprehensive:1 nest:1 numerical:1 effect:3 hand:2 driven:1 florio:2 entanglement:136 robust:2 interested:2 passing:1 recent:2 normale:2 lower:2 piazza:1 scenario:3 nevertheless:1 disappears:1 nonetheless:2 well:2 analysis:7 dashed:1 very:1 model:14 plotted:1 left:2 distances:1 just:1 being:1 vishveshwara:1 das:1 rest:3 pfaffian:1 distant:4 positions:1 lewenstein:2 g0:11 macroscopic:2 previous:4 leinaas:1 density:8 wei:1 supply:1 signals:2 lattice:2 belongs:1 extends:2 lett:20 easy:1 ruled:1 transformation:1 comp:1 spinless:1 aspects:1 nielsen:2 criticality:1 sketched:1 couple:1 tc2:1 possible:5 tc1:2 increases:2 vidal:3 entangled:28 sanpera:1 press:1 advanced:1 apart:2 ennio:1 loss:1 facchi:2 particle:9 lost:1 sissa:1 separately:2 ρijk:3 steps:1 arbitrary:2 become:1 collective:2 spins:50 parity:1 indications:1 because:3 neumann:1 classical:4 plausible:1 some:10 stat:1 examples:1 convex:1 siewert:2 happens:1 scale:1 gα:16 lead:1 shall:1 manipulations:1 critical:6 unavoidably:1 monogamy:1 chains:1 zzz:2 minimization:1 bc:3 bl:2 bm:2 journal:1 processing:1 notable:1 bi:1 broken:1 σip:2 although:2 bs:2 viale:1 σiy:1 properties:6 meyer:1 constrains:1 about:1 central:4 carried:1 tracing:2 discussed:2 o:2 reduced:4 convenient:1 range:20 ensure:1 2j:1 neighbor:3 mixed:6 shared:10 ou:1 introduced:1 block:25 lieb:1 raised:1 cambridge:2 presence:1 communication:2 into:5 within:1 bound:30 bruss:3 due:4 right:1 parties:3 paradigmatic:1 refined:2 next:9 clustering:1 additional:1 ortiz:2 there:3 question:1 specifically:2 pages:1 low:2 lot:1 analyze:2 was:15 naturally:2 function:2 hard:1 complete:3 form:5 analyse:1 but:7 failure:1 toeplitz:1 gain:1 matematica:1 hc:1 line:3 hf:5 coupling:1 infn:1 infm:1 made:4 compute:1 qualitative:2 horodecki:11 whether:2 inside:1 bounds:2 quantitatively:1 ur:3 converted:1 limit:3 fαβ:8 demonstrate:2 distribution:1 similar:1 calculated:3 mechanics:1 ac:2 ab:1 proved:2 ad:1 separability:7 defined:2 certain:4 universal:2 describe:1 determinant:1 general:3 peres:1 multiparticle:8 single:1 exist:1 inf:2 ing:1 dβ:8 check:1 dα:4 vertical:3 functions:5 compared:2 thermodynamical:3 integrability:1 no:13 werner:1 na:1 separating:1 when:6 vanishes:1 field:10 other:13 details:2 np:1 concerning:1 picture:1 briefly:1 elements:1 kinds:1 separate:1 models:2 fazio:3 important:2 ising:2 miranda:1 fermi:1 structure:3 plastina:1 correlated:1 implies:1 longer:4 dφ:1 proposed:1 interval:1 impossibility:1 appendix:2 incomplete:5 requires:2 having:1 |
0705.0387.txt |@word represent:1 jason:1 consider:1 results:13 eds:2 boksenberg:1 edu:1 abundant:1 contributions:1 ıa:1 quasi:2 according:1 excluded:5 contaminant:1 lilly:1 case:3 keck:1 very:2 rise:1 mg:26 focus:1 indication:2 network:1 every:1 summarized:2 affect:1 associated:3 difference:2 vlt:1 condition:1 entire:1 clouds:2 level:4 bentz:2 tytler:1 eve:1 lombardi:1 large:1 detected:1 phase:1 kacprzak:1 small:1 falco:1 upper:3 smaller:1 garnavich:1 l93:1 consistent:4 direct:1 horn:1 likely:2 street:1 design:1 enhancement:7 surface:1 chen:7 spectral:4 what:1 errors:1 appear:1 chicago:2 giving:1 section:2 selected:1 afterglows:1 current:1 experiment:1 above:1 retrieved:1 fiore:4 increasing:1 contrast:2 satisfy:1 edited:1 full:9 respectively:1 even:3 component:3 here:2 understanding:1 ionization:2 vreeswijk:2 kaufer:2 objects:2 separation:1 excess:2 concluding:1 path:4 along:12 strong:7 observing:1 appears:1 change:1 obtained:3 study:3 larger:5 example:1 vogt:2 stella:1 amount:1 survey:10 permit:1 identity:1 prochaska:7 studies:2 composed:1 churchill:4 absorbers:34 casilla:1 overabundance:3 extra:1 ground:1 explained:1 highly:1 apj:12 improbable:1 total:1 univ:1 unit:5 sky:1 presents:1 use:4 takes:1 would:3 distinct:2 faint:1 therefore:7 pathlength:2 themselves:1 type:1 more:4 separated:1 beyond:1 israel:1 mellon:1 under:1 normalized:1 ward:3 must:2 high:7 none:2 defines:1 dietrich:1 des:1 labeled:2 mgii:13 following:3 gravitationally:2 performed:2 turnshek:2 compare:6 cosmological:3 brown:1 calculation:1 organized:1 charlton:1 sample:30 steidel:18 numbers:2 odorico:1 stover:1 sauverny:1 robinson:1 information:1 counting:1 provide:1 discussion:2 uves:6 revisit:1 how:1 burles:2 forest:2 significance:2 circular:1 profile:1 astroph:1 continues:1 ucolick:1 may:13 after:1 derived:1 confirmed:2 shectman:1 santa:1 modest:1 osborne:1 worthey:1 qsos:10 choice:1 data:7 las:1 stress:1 natural:1 imply:1 schneider:1 spectra:12 lines:9 parameterized:2 ledoux:4 si:2 ones:1 fundamental:1 coadded:1 lensing:1 wind:1 saturated:2 help:1 correlation:1 indeed:2 over:2 mainly:1 savaglio:1 feature:1 redward:2 richards:1 paper:2 through:1 statistical:17 argued:2 peterson:1 its:2 galaxy:3 before:1 observational:1 group:3 fit:2 decreases:1 enard:3 better:1 window:3 production:1 lewis:1 systems:26 ours:1 main:1 might:1 pixel:4 maximal:1 them:1 matches:1 tained:1 greiner:1 fig:5 reflected:1 tucker:1 effects:1 they:1 das:1 speculate:1 halo:1 storrie:1 porciani:2 hereafter:1 campanas:1 university:2 astronom:1 bursts:4 each:9 found:5 higher:5 constraints:1 heavy:1 hsiao:1 csabai:1 directly:2 ed:3 covino:1 gaussian:4 grbs:12 owing:1 expect:3 measure:1 substantially:1 our:20 zabs:5 transitions:3 out:2 opened:1 space:1 spectrum:1 restricted:1 furthermore:2 since:3 content:1 re:1 reader:1 sloan:1 issue:1 25c:1 shows:8 asp:2 frank:3 galaxies:6 given:3 departamento:1 standard:3 california:1 members:2 put:1 org:1 estimate:1 telescopes:1 definition:2 lanzetta:2 masanori:2 chelouche:1 widths:8 could:1 transition:1 david:1 iye:4 length:1 place:1 universidad:1 conducted:1 assign:1 first:4 moorwood:3 features:1 striking:1 relate:1 number:13 comprised:1 restrict:1 done:1 another:2 reached:1 clarity:2 profiles:1 size:2 guhathakurta:1 surveys:12 service:1 similarly:1 introduction:1 revealed:1 system:9 least:2 sargent:5 their:4 assumption:1 observations:3 iau:1 sensitivity:1 williams:1 modjaz:1 bowen:2 braun:1 alan:2 mochnacki:1 binned:1 optical:2 lazzati:1 apjs:3 authors:1 than:8 population:2 l43:1 epps:1 observatory:1 dupree:2 second:1 matter:1 future:1 characteristics:1 aas:1 were:10 toward:10 stanek:2 exhibit:2 lick:1 san:1 rao:1 argument:1 headings:1 dobrzycki:1 disjoint:2 seen:1 null:1 misawa:6 ray:4 instrumentation:2 absorber:2 studying:2 self:1 note:2 majority:1 potential:2 2006a:2 2006b:6 performance:1 techniques:1 observatoire:1 echelle:3 santiago:1 differences:3 hires:2 trace:2 though:1 probed:1 incidence:8 falls:1 most:2 intergalactic:2 gauss:3 significant:6 howk:1 pair:1 intrinsic:2 volume:2 especially:1 considered:1 calculated:2 later:1 metal:5 inferred:1 km:7 ramirez:1 proceedings:1 bins:4 xavier:1 maillettes:1 physics:1 fitted:2 show:3 absorbing:1 blended:2 infrared:1 discovered:1 trivial:1 find:6 fifth:1 principal:1 impact:1 wolfe:1 zlens:1 ratio:5 macros:1 explain:2 written:1 spectrographs:1 only:3 abs:1 surveyed:2 factor:2 thompson:2 bernstein:3 thresholds:1 ruiz:1 dn:44 do:4 specifications:1 lyα:6 di:1 dekker:2 beams:1 de:3 account:1 βc:2 beam:2 ionized:1 dz:48 nearly:4 words:1 report:1 gen:1 binnings:1 evolution:5 resolve:1 viel:1 continuum:1 numerous:1 σdn:1 arxiv:1 elia:2 summary:1 twice:2 processed:1 contain:1 switzerland:1 obscure:1 explanations:1 doublet:5 intervening:3 set:2 ser:1 reference:1 sep:1 acquired:1 paola:1 frame:6 correlations:1 observed:2 see:5 individual:3 result:8 enhanced:1 close:1 subject:1 instance:2 fontana:1 currently:1 diluted:1 favor:1 enough:1 smallest:1 various:1 between:14 drawn:3 geometric:1 nestor:1 conditions:1 available:1 comparable:2 recently:1 parent:1 weak:1 however:3 spectroscopic:1 prochter:8 hypothesis:2 wr:15 key:2 contamination:1 correspondence:1 distribution:6 declining:1 both:5 σi:1 accident:1 last:1 limits:2 efficiency:1 lensed:2 taking:2 hao:2 centered:1 whole:1 arbitrarily:1 ch:1 cl:1 reasons:1 poissonian:1 ca:1 address:1 corresponds:1 probing:1 chincarini:1 anti:1 coordinates:1 uco:1 table:8 pp:1 described:1 mathur:1 outlier:1 instrument:3 addition:1 due:6 been:7 lopez:3 much:4 progenitor:1 figure:7 ph:6 crawford:1 define:3 mike:2 wobs:1 corresponding:2 frontera:1 quantities:1 coherence:1 qso:29 binning:5 gap:1 craine:1 metals:1 chile:2 spie:3 diffuse:1 present:2 applied:1 look:1 defining:1 value:1 alter:1 will:5 while:3 viii:1 behavior:1 error:3 wild:1 region:2 bin:8 planar:1 vol:1 piranomonte:3 murphy:1 ir:1 discrepancy:1 iv:48 ii:28 bigelow:1 bias:2 il:1 conf:1 allen:1 ave:1 vanish:1 different:4 pfister:1 rauch:1 cross:1 same:6 unsaturated:1 sbordone:1 complex:1 widely:1 largest:1 resulting:2 several:2 infer:1 conflict:1 difficult:1 independent:1 used:6 vietri:1 published:1 effect:3 hand:2 ion:1 v5:1 contaminants:1 dust:3 nabs:4 recent:2 lower:6 nevertheless:1 shu:1 analysis:6 telescope:1 without:1 components:5 firstly:1 comparisons:1 proposed:1 less:3 being:1 quasar:1 obtain:2 rest:6 sources:1 relevant:1 identify:1 atomic:1 summed:1 useful:1 sightlines:12 kuraszkiewicz:1 multiples:1 previous:7 nicolas:1 tables:1 preprint:1 candidate:1 density:5 absorption:24 wei:1 conclude:1 character:1 wen:1 source:2 samples:6 extensive:1 match:1 identical:2 zavadsky:3 colloq:1 rules:1 digital:1 possible:5 dark:1 department:2 cruz:1 grid:1 background:2 clustered:1 using:8 accepted:1 bloom:4 dessauges:4 imposed:1 sizes:1 eric:1 contradict:1 signal:2 specific:1 stratta:1 detections:1 hosts:1 uchicago:1 sebastian:1 reduced:1 because:3 methods:1 pettini:1 searching:1 σi2:1 couture:1 francisco:1 sight:6 redshifts:1 multiple:1 ellis:1 confirm:1 avoid:1 integration:2 per:4 track:1 does:4 eso:1 wmin:4 many:1 moderate:1 proc:2 refer:1 foley:3 contrasting:1 noise:2 equivalent:22 arbitrary:2 confidence:2 expansion:1 stellar:2 discount:1 host:1 although:6 offset:2 plots:1 quider:1 prepared:1 properties:2 comparison:3 pipeline:1 conrad:1 carried:1 column:1 universe:1 based:1 discussed:1 o:2 range:1 wolf:1 ghisellini:1 reimers:1 insufficient:1 slightly:2 zerbi:1 gamma:4 cutoff:1 cambridge:2 dagger:1 plenty:1 redshift:28 press:1 into:2 within:5 implications:1 dataset:1 lies:1 gehrels:1 references:2 dubious:2 smette:3 marconi:1 significantly:1 zqso:1 detectors:1 statistics:11 incidences:1 measured:3 calkins:1 there:7 stark:1 smoothing:1 width:14 low:1 stars:1 astrophysics:1 was:4 suzuki:1 meurs:2 function:2 medium:2 latex:1 criteria:1 but:5 histogram:1 astro:6 contradictory:1 mnras:1 line:8 made:1 compute:1 meara:1 characteristic:1 gravitational:1 robustness:1 hosting:3 quantitatively:1 delaney:1 matheson:1 below:2 un:1 limit:5 civ:23 problem:1 similar:2 tripp:2 adopt:1 hotter:1 defined:4 certain:1 abstract:1 contribute:1 zend:2 proven:1 general:1 pix:1 single:4 delabre:1 follows:2 distributions:3 archive:1 physical:2 compared:2 us:3 no:5 jaunsen:1 dashed:3 when:1 δz:2 other:5 grb:48 papers:1 test:2 igm:1 2dn:2 conclusion:1 deviation:1 elements:1 gas:6 includes:3 15a:2 important:1 allowing:1 coverage:3 velocity:7 included:1 athey:1 astronomy:3 constrain:2 perna:1 independently:1 regime:2 antonelli:1 assume:2 interval:1 together:1 uchile:1 mass:3 fact:1 n0:1 keane:1 resolution:8 |
0705.0388.txt |@word limited:2 externally:1 measurements:1 consider:3 caused:1 magnetic:8 particular:1 results:10 leads:4 spacecraft:1 computation:1 maxima:2 follow:1 amplified:1 denotes:1 reˆ:1 causes:2 increase:5 terms:4 calculate:2 iii:3 marko:1 elzerman:1 finally:2 behave:1 those:2 ti:3 include:1 worth:2 p2:1 far:1 frequencies:1 rise:5 polarization:1 wave:13 electron:26 novel:2 orientations:3 morpurgo:2 mixing:2 experimentally:1 difference:9 exact:1 condition:1 four:1 regarded:1 incoherent:2 exits:1 hamiltonian:5 transmission:10 evaluation:1 solution:1 large:3 solved:1 convenience:1 vector:3 conductances:1 science:2 small:7 enhance:2 becker:1 referred:1 optics:3 10µm:2 upper:5 smaller:4 slower:1 oscillation:3 equated:1 consistent:1 kato:1 estimates:1 unpolarized:2 approximation:9 rate:8 datta:1 enclosed:2 pass:1 chen:1 further:1 summation:1 linear:1 subscripts:1 foster:1 nonlinear:2 sprinzak:1 giving:1 contributions:1 section:2 while:4 expressed:2 uniform:1 current:11 seconds:1 establishes:1 spintronics:1 new:3 increasing:2 method:1 contrast:1 coefficient:1 condensed:1 1nm:1 chose:1 whose:1 awschalom:1 respectively:3 commercial:1 here:11 nitta:2 asymmetry:1 inversion:1 mes:1 directions:1 path:6 along:9 strong:1 equations:4 change:5 obtained:1 search:2 incoming:1 splitting:2 institute:1 shift:31 study:1 larger:6 allows:1 exiting:6 amount:2 resulting:5 myers:1 navigation:3 der:1 involves:2 uniquely:1 lφ:2 technique:3 term:2 br:6 mobility:1 charge:2 mcguirk:1 hankiewicz:1 decrease:1 condensates:1 total:8 rψ:1 estimate:1 unit:1 readily:2 derivatives:3 use:4 quasi:1 asymptotic:1 waveguides:1 ψr:4 arms:11 optimize:1 scenarios:1 calculation:2 depicted:1 tm:4 eϕ:1 type:1 theoretical:2 more:6 entrance:1 conductor:2 schematic:1 ap2:1 becomes:2 operators:1 ap1:1 envelope:5 about:4 validity:1 berlin:1 verlag:1 varying:3 known:2 1µm:1 must:4 states:10 springer:1 rotational:9 integrating:1 ed:1 heo:1 inertial:4 work:2 mi:3 dashdotted:1 minimum:4 values:12 following:1 making:1 dec:1 example:1 control:2 compare:1 give:3 process:1 magnitudes:1 organized:1 sake:1 neder:2 high:1 indicates:1 application:1 thus:1 numbers:2 degenerate:1 allowed:1 particles:12 serial:1 sagnac:30 axis:6 information:1 sought:1 end:2 goal:1 rather:1 gyroscopes:2 discussion:2 means:2 s7:2 feature:1 mahalu:5 how:6 carrier:1 gate:2 zdirection:1 parameter:1 sin:3 simplicity:1 amnon:1 continues:1 mat:1 modulation:1 max:5 ω2r:1 derived:1 perceive:1 diagram:1 applications:1 plane:4 demonstrating:1 waves:2 date:1 horizontal:4 constants:1 physical:1 effective:8 beam:1 negligibly:1 light:1 counter:4 lines:3 neglect:1 s3:1 yau:1 so:13 specifying:1 fundamental:2 lα:5 observability:1 ingaas:1 sinova:1 travel:3 typical:1 itm:1 ith:1 indeed:1 pointed:1 vary:2 equally:1 interpreted:1 jacob:1 experiments:5 through:13 cold:2 still:1 its:5 before:4 towards:1 some:1 rapidly:1 πr0:2 fit:3 2e2:1 interesting:1 zˆ:1 solving:1 decreases:1 li:1 peng:1 systems:3 recombined:4 decreased:3 microring:2 lz:1 easier:2 split:2 maximal:1 them:1 ωmin:4 affected:1 greater:1 combination:1 numerically:3 tarucha:1 yacoby:1 operator:2 gustavson:1 precess:3 precession:2 they:4 instead:1 sσ:5 rotation:26 now:3 hall:2 developments:1 easily:5 february:1 finite:1 2αr:1 university:1 drop:1 radians:1 2e:2 magnitude:6 mode:2 reasonable:1 each:5 did:1 entirely:1 elements:1 side:1 mean:2 differential:2 ei:7 directly:3 generation:3 mesoscopic:8 energy:5 ea:1 idea:1 related:1 line:9 interferometer:17 conductance:10 frequency:5 static:2 interplay:2 sion:1 quantum:22 our:12 beff:1 eq:11 array:5 out:1 widely:1 shown:6 meijer:2 3rd:1 space:1 shtrikman:3 since:5 interference:17 is6:1 tively:1 semiconductor:6 may:1 europhys:1 multiply:1 rb:1 tinkham:1 induced:7 cause:1 integrated:1 shows:4 kouwenhoven:1 takayanagi:2 doppler:1 theory:1 interactions:4 frank:1 diagonal:1 free:2 commercially:1 extraordinary:1 reason:1 advantages:1 counterparts:1 imagine:1 franz:1 sensors:2 generate:1 lmf:3 e2:3 hence:1 interaction:9 r0:8 derivation:1 created:1 gossard:1 could:4 obstacle:1 hakonen:1 times:1 motion:2 length:7 produce:1 period:1 hassel:1 assumed:1 consequence:1 conductors:1 app:1 spinors:1 first:3 origin:1 already:2 probability:6 stevens:1 number:5 restrict:1 done:1 another:2 ring:54 electronic:3 angular:7 aharonov:1 size:1 equating:1 passes:1 given:8 necessarily:1 publication:1 their:3 introduction:1 πk:1 eqs:1 system:4 approximately:2 sargent:1 found:3 indicate:3 ballistic:7 1d:4 amplifiers:3 rates:1 shaham:1 molecular:1 stimulate:1 sensitivity:3 gives:3 mostly:1 poortere:1 accurately:1 optical:10 too:2 yurke:1 resistance:4 than:12 coefficients:3 oscillate:1 observed:2 nanostructures:2 polarized:8 bec:1 bef:5 second:6 jairo:1 matter:5 express:1 future:3 yang:1 amplitude:3 were:1 sec:2 enables:1 enhancement:11 rad:2 sees:1 san:1 generality:1 borghs:1 curves:1 emmanuel:1 seen:2 confirms:1 orders:3 resistivity:1 accounted:1 paths:2 strength:7 angle:1 enhancing:1 studying:1 lin:1 able:2 gravity:1 predominantly:1 note:2 extracted:1 potential:5 ainen:1 take:1 lβ:1 subject:2 even:3 broglie:1 electric:3 opposite:2 enter:2 reach:2 wells:1 most:1 detect:4 propagate:2 successive:1 device:2 paalanen:1 inserted:1 counterpropagating:1 mach:1 recombine:1 richard:1 calculated:2 later:1 stronger:1 physica:2 order:8 manifested:1 points:3 electrons:12 principle:1 exp:3 hoboken:1 levinson:1 velocity:3 left:2 physics:3 dot:1 quantity:1 slope:2 paul:1 particularly:1 show:1 labels:1 is12:1 rotating:9 radii:1 solutions:1 find:2 decade:1 berman:1 kuo:1 slow:1 based:3 proposed:1 written:2 incident:2 should:4 only:13 going:3 factor:4 integrate:1 passing:1 over:2 hope:1 do:3 mixture:1 dominant:1 above:3 compounded:1 distance:5 dependent:4 beams:1 de:3 dc:1 recombining:1 define:2 gea:1 ones:1 christopher:1 during:1 schrodinger:2 durfee:1 qs:22 qr:37 vertical:5 greens:1 outperform:1 arxiv:1 hr0:1 summary:1 investigate:1 paper:2 zutic:1 common:1 though:1 activity:1 including:1 fixed:3 inside:1 enhanced:1 voltage:1 set:1 αr:6 reference:5 detectability:1 frame:4 outgoing:1 up:4 relative:4 see:5 electrostatic:1 radius:6 result:10 ignores:1 explosive:1 uncorrelated:1 arm:14 techniques:3 exploited:1 eigenfunctions:1 channels:2 lindell:1 ways:1 pattern:7 currently:1 rings:10 shuster:1 partition:1 case:6 state:5 determined:2 cambridge:2 envelopes:1 between:22 progress:1 justified:2 available:1 imbalance:1 recently:4 ability:1 right:1 nature:3 importance:1 weak:1 attention:1 focus:2 however:8 interfere:1 fujisawa:1 negligible:1 aircraft:1 rapid:1 ji:1 key:1 bose:1 banacloche:1 both:4 dates:1 last:1 limits:1 many:2 equal:1 zeeman:2 propagation:1 hψ:1 hω:4 figures:2 dated:1 exceeds:1 akazaki:1 contribution:3 finds:1 experimental:2 con:1 aa:1 co:5 fields:1 point:1 simple:1 poissonian:1 corresponds:1 community:1 dimensional:5 non:2 scully:2 applicability:1 carbon:1 respect:3 improvement:2 considers:1 hω0:2 pp:2 described:2 addition:2 wiel:1 due:11 been:7 skel:1 much:5 slowly:4 combined:1 interest:3 expected:1 refael:1 hock:1 tan2:1 fig:20 traveling:2 sanders:1 direction:5 arises:1 corresponding:2 chun:1 quantities:1 coherence:3 photon:1 cos:3 rabi:1 coherent:3 observe:2 external:3 angles:1 c2:2 denote:1 spin:48 present:1 applied:3 explicitly:1 hωr:2 main:2 laser:1 josephson:1 pacs:1 solid:9 harder:1 single:6 will:7 receive:1 dephasing:1 ϕmin:4 ultra:1 richter:1 landauer:1 resolved:1 shayegan:1 changed:1 coupled:5 vol:1 simulations:1 tions:1 surprisingly:1 iv:2 ii:2 bias:1 cond:1 hideaki:2 limit:5 leaving:1 technology:1 currents:3 increased:4 orbital:3 different:11 formalism:1 develop:1 σz:2 indistinguishable:1 same:7 klapwijk:2 shifts:6 galkin:1 complex:1 virtually:1 pauli:1 units:3 dimensionless:4 several:3 higher:1 development:1 used:5 lie:2 umansky:3 zehnder:1 numerical:9 upon:1 effect:21 monolithic:1 hand:2 driven:1 v1:4 v2:4 fabian:1 moving:4 wees:1 robust:1 heterostructure:1 fabrication:1 recent:2 mentioning:1 interferometers:10 lower:4 schr:3 center:1 zerotemperature:1 changes:5 well:7 bang:1 analysis:1 schafer:1 bohm:1 academic:1 solids:1 without:3 comes:1 very:1 position:3 model:2 paradigm:1 sensing:1 justify:1 buks:1 r02:1 just:1 less:1 gavish:1 scheuer:1 das:1 rotated:1 obtain:4 ignoring:3 underlying:1 atomic:3 spinorbit:1 alternative:1 scattering:1 heterostructures:1 oriented:1 enters:1 hint:1 thick:1 conclude:1 iϕ:1 scalable:1 discuss:3 wu:1 lett:14 easy:1 technological:1 definition:1 gσ:2 mod:3 semiconductors:1 momentum:5 real:1 tests:1 around:7 amo:2 represents:1 advances:1 breaks:1 spatial:2 measurement:2 possible:5 p1:2 early:1 increases:3 presume:1 press:2 using:6 souma:1 disadvantage:1 nikolic:1 loss:1 strengths:2 like:1 particle:1 shaped:1 follows:1 reduces:1 landragin:1 extremely:1 flux:3 yields:3 either:1 ie:2 stationary:1 spins:5 mathematical:2 because:4 methods:3 classical:2 creation:1 phenomena:2 back:1 delahaye:1 understood:2 growth:2 konig:1 moreover:1 oscillations:6 shelykh:1 transport:12 nonzero:1 scale:1 lead:5 kr0:4 normal:1 per:1 schleich:1 defined:1 rashba:19 connecting:2 contact:1 provides:1 assuming:3 yariv:1 propagating:14 demonstrated:4 refer:1 measuring:3 presented:1 biased:1 noise:12 eiϕ:1 itself:1 heiblum:5 2µb:1 perpendicular:3 although:3 substitution:1 intense:1 comparison:4 limitation:1 would:3 kasevich:3 introduces:1 factors:1 o:3 simulation:1 practical:1 probabilities:3 involving:1 imry:1 chow:1 enoki:1 connected:1 introduced:1 functions:7 xu:1 outlook:1 rev:23 presence:2 noting:2 into:2 within:2 rotations:5 three:1 down:8 phase:47 geophysical:1 promise:1 raises:1 einstein:1 frames:2 proportional:6 next:2 jeng:1 significantly:1 diameters:1 statistics:2 van:2 buttiker:1 area:7 measured:3 there:6 question:1 equation:6 systems1:1 does:2 accordingly:1 detectable:6 bosons:1 low:2 way:2 series:2 resulted:1 buhmann:1 slopes:1 analyze:3 was:4 assumes:1 interferometry:2 function:11 considerably:1 form:7 molenkamp:1 reduce:1 differences:1 but:3 ferromagnetic:1 goals:1 atom:6 hgte:1 level:1 considerable:1 longer:1 made:2 improved:1 full:1 hωb:1 arrays:1 gravitational:1 ωr:7 nanotube:1 maximum:2 devices:3 ωm:1 uk:1 sides:1 fluctuations:2 problem:1 ωb:2 similar:2 mechanics:1 dots:3 ab:1 constant:1 minima:2 ai:5 holes:1 measure:3 generating:1 general:1 loops:1 engineering:1 reservoirs:1 laboratory:1 tα:1 check:1 steeper:1 reexpress:1 diego:1 nj:1 compared:1 us:4 no:5 dashed:1 shot:6 when:6 dowling:1 hasselbach:2 field:11 other:8 electrical:1 papers:2 department:1 deviate:1 conclusion:1 bockrath:1 splitters:1 separate:1 mechanical:1 problems:1 odinger:3 important:3 cos2:3 needed:1 structure:2 ξg:10 implies:1 coupling:13 assume:5 clauser:1 sve:11 diffraction:1 orbit:10 inset:2 mass:5 smooth:1 time:8 meystre:2 resolution:1 having:1 coherently:3 |
0705.0392.txt |@word evidence:2 chain:4 demand:1 rod:2 focus:1 illustrated:1 rˆ:2 sci:3 integrity:1 bruinsma:2 localized:2 careful:1 depend:1 description:2 corrections:1 finally:1 tj:1 stable:7 fluorescently:1 include:1 division:1 confirmation:1 straightforward:1 very:1 resistance:1 stabilized:1 cellular:1 redefinition:1 deformations:1 leads:1 induced:1 exponential:1 presented:1 did:1 proc:2 solution:4 large:9 tang:1 vector:1 indices:1 relation:1 harries:1 inserting:1 strongly:1 smaller:1 force:1 2k2:2 consistent:1 d3:2 approximation:1 surrounding:1 second:5 functioning:1 theory:6 even:2 aim:2 what:1 plays:1 appear:1 contributions:1 sum:2 contributed:1 near:4 uniform:2 cell:3 ǫl:1 above:1 lifshitz:1 new:4 contributes:1 body:1 full:1 exchange:1 respectively:1 angelini:1 component:1 here:6 understanding:1 growing:1 packing:2 cylindrical:1 tangent:2 possibility:2 separation:1 excess:1 directions:1 ratio:1 along:6 appears:2 z2:1 stresses:2 precursor:1 study:3 vectors:1 resulting:1 stiffness:1 action:1 locomotion:1 studies:3 alberts:1 york:1 diameter:2 useful:1 scales:2 analyzing:1 apply:1 total:2 unit:4 use:1 dna:3 usa:3 etc:1 bundles:31 negative:3 doubt:1 mysterious:2 associated:3 until:1 more:3 introducing:1 moir:3 thus:4 pelletier:2 mismatch:1 curvature:1 rigid:1 surface:17 microtubules:1 known:1 anharmonic:5 must:4 account:1 rotational:1 cluster:3 science:1 work:1 labeled:1 minimum:15 values:1 following:1 under:5 drops:1 specialized:1 example:3 dropped:1 control:2 ions:1 figure:2 generically:1 indicates:1 assumptions:1 numbers:1 rods:2 axis:5 preferably:1 afm:2 respective:1 rather:1 tilt:1 acts:1 regions:2 located:2 pure:1 instead:2 parameter:3 filament:4 lam:2 mat:1 may:2 thermodynamic:4 earlier:1 minimized:1 diagram:3 connectivity:1 plane:12 surfactants:2 disassembly:1 grow:1 constants:5 stress:3 short:1 liquid:1 lai:1 twisting:1 explicit:1 lengths:2 maintain:1 so:2 allow:1 pleasure:1 order:16 typical:1 breaking:1 produces:1 indeed:2 over:2 find:1 bunsenges:1 produced:2 course:1 paper:4 through:3 statistical:1 pitch:1 unfavorable:1 kinetic:1 its:1 perfect:1 chemical:3 position:1 outer:1 πr2:3 energies:3 interesting:1 zˆ:2 actually:1 microscopic:1 fig:4 clusters:2 spreading:1 shear:4 non:6 good:1 greater:1 combination:1 number:1 scaling:2 repulsive:1 effects:1 optimal:1 oxford:2 rotation:2 now:1 discuss:1 structural:4 develops:1 mg2:2 february:1 adjacent:1 university:1 proteins:3 crudely:1 sufficiently:2 slide:2 magnitude:2 toroidal:3 each:2 found:1 entirely:1 side:1 mean:1 tilted:1 tension:4 generation:1 ed:2 energy:30 displacement:4 f0:4 owing:1 interplay:1 separating:1 our:3 beyond:1 eq:7 special:1 out:4 shown:1 dominates:4 network:2 3rd:1 thermodynamically:2 rev:11 dominated:1 motifs:1 ℓd:1 evaluation:1 occurs:3 shows:3 solvent:3 linear:5 interactions:1 frank:4 mechanisms:1 free:6 small:6 approaches:1 california:1 term:19 shi:1 r4:1 interaction:2 r0:12 chiral:18 r2:7 geometry:1 determining:2 could:1 length:7 4th:1 hence:2 first:5 origin:1 gelbart:1 already:1 features:1 symmetry:4 meet:1 ℓp:5 vitro:3 infinite:1 alternatively:1 defects:2 array:4 open:1 intermolecular:1 size:17 given:5 zω:2 width:1 leading:2 top:1 moderately:1 twisted:3 construct:2 their:3 intermediate:1 chem:1 observations:1 underlie:1 biochem:1 molecular:6 biopolymers:8 adopts:1 grant:1 estimates:3 incompressible:1 park:1 somewhat:1 believe:1 than:8 past:1 showed:1 sections:1 see:2 nevertheless:1 determined:7 were:1 ber:1 exhibit:1 lowest:1 derivative:1 membranes:1 linker:7 torque:3 regime:1 depleted:1 dictate:1 need:1 hexagonal:10 linked:1 viewed:1 ray:1 screw:2 estimated:3 angle:2 responsible:1 contact:1 k3:5 k2:5 k1:5 branched:1 absorbed:2 forces:1 modulus:1 persistence:3 blue:1 play:3 added:1 πr02:1 triangular:1 splay:1 most:1 boltzmann:1 importantly:2 ht:4 letter:1 organization:1 phase:22 intrinsic:1 torsional:7 kb:2 ka:1 observation:2 neighboring:2 into:6 adopt:1 kn:2 positional:1 formation:2 exp:1 dispersed:3 charged:1 physics:1 section:2 show:4 supported:1 soluble:1 radii:1 safran:1 gauge:6 solutions:4 d2:1 networks:4 boundaries:1 provided:2 based:1 topological:1 should:1 penalty:2 only:7 actin:15 screening:1 stability:1 factor:2 constant:3 local:4 equilibrium:5 biophys:2 dominant:1 dk:1 bend:1 familiar:2 preferred:3 bloomfield:1 cannot:1 during:1 liu:1 continuum:2 held:1 approach:1 arxiv:1 microscopy:1 rotationally:1 europhys:1 predicted:1 double:1 including:1 fixed:4 explanations:2 cells:3 view:3 synchrotron:1 moduli:1 maximum:2 observed:5 depends:3 electrostatic:1 radius:7 result:2 discussions:1 recently:1 surfaces:1 phases:2 tensor:5 away:3 dmr:1 µm:1 written:1 future:1 between:9 boundary:4 conditions:4 µc:7 terms:7 extend:1 spacing:2 interfaces:1 however:2 key:4 relying:1 concentrated:1 both:4 last:3 σc:9 freely:1 acknowledge:1 against:1 called:1 strains:1 grain:3 dated:1 focused:1 contribution:4 argue:1 otherwise:1 minima:1 relevant:1 necessary:2 supply:1 ca:1 dislocations:2 corresponds:2 height:1 dimensional:3 represented:1 morphologies:1 respect:2 torsion:3 unusual:1 described:1 thermodynamics:1 would:1 mounting:1 chirality:9 three:5 been:1 reduction:1 much:2 protrusions:1 columnar:11 meeting:1 systems:1 obtained:1 generating:1 onset:1 controlled:1 achiral:3 selinger:1 bulk:8 external:1 decreased:2 general:2 present:3 case:2 biopolymer:5 pacs:1 solid:4 plain:1 expanded:2 chap:2 value:1 deformation:5 will:7 cast:1 while:4 behavior:1 many:1 polymer:2 larger:2 orientation:1 played:1 binding:2 filamentous:1 strain:15 cond:1 claimed:1 alone:1 concentration:2 different:2 fibers:1 generic:3 make:2 cross:2 shifts:1 complex:1 arguments:2 mixtures:1 units:2 finite:5 grows:2 higher:1 development:1 cholesteric:1 effect:1 possible:1 ion:2 appreciable:1 aggregate:2 invariance:1 landau:1 recent:1 break:2 least:1 minimize:1 well:4 analysis:4 solids:2 without:1 polym:1 claims:1 model:1 left:1 bending:2 kamien:3 less:3 increasingly:1 rotated:1 hexagonally:1 disperse:6 predicts:1 merge:1 captured:1 note:1 rapid:1 density:6 point:5 lattice:2 potential:2 lett:8 cations:1 rafelski:1 conventional:1 increased:2 demands:1 conclude:1 breaks:1 aggregation:9 harmonic:3 press:1 appearing:1 poses:1 10kb:1 imposed:2 like:1 semi:1 shaped:1 polymers:3 interestingly:1 sizes:1 δr:1 sized:2 unstable:1 follows:2 become:1 conclusion:1 soft:1 reduces:1 therein:1 right:1 classical:2 exposed:2 competition:2 understood:1 images:1 neglecting:1 specific:1 scale:1 dense:1 dimensions:1 lead:1 realistic:1 annu:1 unavoidable:1 per:3 critical:4 provides:1 tends:1 prog:1 chains:16 refer:1 limitations:1 biology:1 assembly:2 perpendicular:1 wong:1 filaments:13 properties:1 westview:1 hiding:1 comparison:1 about:2 central:4 carried:1 discussed:2 dependence:1 o:2 reduced:5 angeles:2 shao:2 range:5 plus:1 greatly:1 concentrations:3 ti:1 gregory:1 ξm:2 presence:1 previously:1 pergamon:1 puzzle:1 elasticity:5 nsf:1 accommodate:1 acad:2 references:1 primarily:1 proportional:1 rely:1 compression:1 elastic:12 area:2 assumed:1 there:2 condense:1 long:5 los:2 noting:1 low:5 fraction:2 was:3 function:4 considerably:1 speculate:1 elsewhere:1 form:5 deviations:1 but:6 volume:1 taken:1 cryo:1 flexible:1 ha:1 arranged:1 characteristic:4 inside:1 ωr:6 up:5 theoretical:1 crystal:1 below:4 limit:6 demonstrate:1 distribution:6 clear:3 detailed:1 diverges:1 ordered:4 defined:1 certain:1 universal:1 uij:5 direction:1 denote:1 twist:3 single:2 linkers:3 corresponding:1 cytoskeleton:2 physical:3 mutual:1 compared:2 nm:3 no:2 when:8 field:4 other:1 role:5 braided:1 nat:2 department:1 semiflexible:1 poor:2 garland:1 separate:1 aggregates:8 backbone:1 ultimately:1 bundle:30 includes:1 generated:2 important:3 peak:1 variable:1 astronomy:1 structure:1 condensation:6 individual:4 pincus:1 assume:2 together:1 inset:2 nelson:2 far:2 requires:1 |
0705.0393.txt |@word lly:1 saturating:6 consider:2 caused:4 magnetic:35 varying:1 amplifier:1 resistance:10 leads:2 scalar:2 gd:1 grateful:1 spaced:1 remarkably:1 disk:3 causes:1 whose:2 inverse:2 referring:2 alamos:1 technique:2 supported:1 matrix:3 charge:5 those:1 under:1 exit:1 analogous:1 te:10 sent:1 ingredient:2 subtleties:1 applied:5 doped:3 proved:1 provides:5 straightforward:1 without:1 deviates:1 continues:1 exception:1 results:10 electron:4 size:2 mixing:1 affect:2 difference:5 exact:3 minute:1 four:7 randomness:1 europhys:2 obvious:1 exits:1 deficient:2 ref:1 cavendish:1 occurs:1 large:11 vector:1 thio:2 science:1 small:5 enhance:1 dis:1 unexpected:1 alfa:1 disordered:2 ten:1 consistent:4 direct:3 sign:2 zero:9 design:1 picked:1 qualitatively:1 mj:1 theory:1 even:3 depiction:1 exists:1 chicago:3 adjustable:1 trivial:1 section:1 slight:1 contributed:1 bergman:3 thickness:15 current:57 experiment:6 absolute:1 above:2 designing:1 new:1 increasing:2 consisting:1 contrast:4 3d:5 satisfy:1 quenched:1 full:1 lee:1 reminiscent:1 respectively:1 realizations:5 component:8 here:3 bi:1 desired:2 cylindrical:1 them:1 possibility:1 excess:4 directions:3 path:4 along:11 strong:2 respect:4 appears:2 change:4 box:1 great:1 incoming:1 suitably:1 institute:1 study:1 larger:2 allows:1 completely:3 thicknesses:1 published:1 periodic:2 resulting:2 permit:1 demonstrates:1 narrow:2 studies:2 fitting:1 appropriately:1 showing:1 via:3 term:1 mobility:20 semiconductors:6 highly:2 conditions:2 decrease:2 apply:1 case2:1 herring:1 estimate:1 unit:5 franck:1 conventional:6 quasi:1 indicated:1 usa:2 positive:12 contains:2 negative:23 compositions:1 depicted:4 therefore:3 distortions:11 taken:1 emerges:1 themselves:1 type:7 theoretical:13 more:1 separated:1 duality:1 iir:2 composite:1 initial:1 ρxx:1 adjacency:1 mismatch:2 about:2 visibility:1 chessboard:1 characterization:1 normalized:3 particular:6 known:1 iil:2 hole:3 iii:2 must:5 sample:34 account:2 crosses:2 permits:1 local:2 averaged:4 emerge:1 effectively:1 theories:1 reviews:1 macroscopically:1 holelike:1 values:4 temperatures:2 ms:2 mr:56 following:1 repre:1 my:1 example:1 purity:1 control:1 ions:1 compare:5 onset:2 curves:1 give:1 lock:2 proportions:2 bennett:1 organized:1 generically:1 involve:2 sphere:2 lorentz:2 numbers:1 threedimensional:1 kawano:1 νi:3 occur:2 axis:3 huge:1 united:1 soc:1 advantage:1 carriers:6 provide:2 describes:1 divided:1 six:3 lett:8 regions:2 necessary:1 imbedded:1 numerous:1 resistivities:2 instead:2 furnace:1 circular:1 simplicity:2 product:1 designer:1 mat:1 dahmen:1 may:3 illustrate:2 namely:1 use:3 derived:1 hong:1 stroud:4 plane:1 designed:1 demonstrating:1 zij:3 fits:1 law:1 data:4 response:9 types:2 curve:1 changes:1 short:1 elusive:1 liquid:1 reproduce:1 explicit:1 correspond:2 element:2 percolation:6 aesar:1 negligible:2 inhomogeneity:12 media:4 chien:1 increase:2 order:6 se:11 typical:3 longer:1 pulsed:1 help:1 indeed:2 over:5 insight:1 discretization:1 thomson:1 mobilities:2 experiments:8 through:1 nitrogen:1 experimentally:1 argued:1 existence:1 still:1 avenue:1 its:4 discretizing:1 symmetric:5 voltages:6 derive:1 longitudinal:37 starting:1 fit:4 chosen:1 fix:1 imperfection:1 exhibits:1 edge:2 better:1 absence:2 ohmic:1 condition:2 total:1 main:1 lz:4 setting:1 lx:3 ly:2 maximal:1 eventually:2 non:9 good:2 thereby:2 unclear:1 similar:2 material:4 solubility:1 landau:1 obeyed:1 band:2 resolve:1 effects:4 they:3 compound:1 rotation:1 now:4 semiconducting:2 hall:9 bank:2 possess:2 easily:1 february:1 finite:3 later:1 james:1 university:4 drop:7 arrows:1 2d:6 realistic:1 magnitude:4 arrow:1 each:9 crossing:1 found:2 identifies:1 higher:1 side:2 characterized:2 mean:4 homogeneous:3 weighted:1 significantly:3 energy:1 abnormal:1 gaussian:2 mm3:1 inhomogeneous:9 frequency:2 entering:1 measurement:6 quantum:1 laboratory:2 equipotentials:1 eq:4 out:2 magnet:2 shown:3 dominates:1 impurity:1 space:2 restricted:2 truly:1 since:7 crucial:4 research:1 semiconductor:3 include:2 contained:1 investigation:2 reich:1 induced:5 cause:1 resistor:15 indicating:1 shows:4 unambiguous:1 fermi:1 zˆ:1 linear:19 diagonal:3 free:3 standard:1 terminals:3 toy:3 complicated:1 imaging:1 disposition:1 sano:1 region:1 attendant:1 remainder:1 generate:3 perform:1 benefits:1 slice:1 created:1 geometry:2 could:1 1v:1 diminished:1 arctan:1 used:3 times:1 turn:1 length:12 edges:3 isotropic:4 δij:1 hence:1 quadratically:1 diminishes:1 onto:1 extrinsic:1 first:2 origin:1 major:2 note:5 soldered:1 features:2 symmetry:2 striking:2 third:2 revealing:1 number:2 reaches:1 approximate:1 smaller:2 defects:1 directly:5 impossible:1 precisely:1 loaded:1 computed:1 taniguchi:1 given:7 salient:2 temperature:7 similarly:1 introduction:1 top:7 system:7 least:1 parallel:5 characterize:2 their:3 confirming:2 appl:4 advection:1 oversimplified:1 perfectly:4 semiclassically:1 gives:1 shifted:1 simulates:1 kohler:2 ratio:1 moscow:1 continuous:1 serve:1 dopant:2 transverse:28 employ:1 part:2 favorable:1 simulate:4 manifestation:3 representing:2 than:11 filled:1 diffusion:1 determines:1 effective:6 princeton:2 specimens:2 approximations:2 measured:3 see:3 betts:3 probe:11 determined:4 lamellae:1 were:8 solely:3 tains:1 result:1 exhibit:2 polycrystalline:3 resistivity:15 cryostat:1 lines:4 correction:1 measure:1 locations:1 generalization:1 crossover:5 randomly:1 discussions:1 filamentary:2 posited:1 emphasizing:1 distorted:7 seen:2 concentration:1 clearly:2 viewed:1 paths:6 depict:2 angle:2 mappings:1 junod:1 mr4:1 latter:1 responsible:3 able:2 consortium:1 mechanism:1 contact:2 oriented:1 majority:1 high:9 potential:5 take:8 analogy:1 converged:1 so:6 coincide:1 techniques:2 stoichiometry:1 added:1 multiple:1 fundamental:1 investigations:1 kai:1 enter:1 reach:1 systems:1 breaking:1 most:3 involving:1 experiences:1 significant:1 quantitative:1 phase:2 future:1 intrinsic:4 probes:2 chalcogenides:17 acknowledges:1 constructed:1 surprising:1 considered:2 clear:2 saturate:1 flow:8 hg1:1 yang:1 electrons:2 principle:1 subsequent:1 typically:2 sum:1 fact:3 laws:1 precise:2 shot:1 phenomenon:3 show:3 nρ:2 random:9 synchronous:1 ionics:1 purely:3 colors:1 expressing:1 faster:1 uniform:2 cdx:1 find:8 ground:1 µm:6 specifically:1 resemblance:1 simulating:1 parameters:3 heavily:2 should:2 terminal:4 only:6 version:1 black:1 rich:1 factor:1 constant:1 amplify:1 nhmfl:2 bridge:1 do:2 loss:1 dependent:1 expectation:1 preferred:1 expects:1 enters:1 cannot:2 nearly:1 progress:1 during:1 distortion:2 boundary:3 becomes:2 liu:1 regarding:1 exhibiting:1 fields:9 arxiv:1 assuming:1 yield:2 tuned:3 microscope:1 saturates:3 predicted:2 contain:1 pulses:1 fortunately:1 force:3 require:1 reveals:1 set:8 constructing:1 electrodes:6 our:12 national:1 comparable:1 0he:1 maximum:1 observed:11 depends:3 computer:1 sec:3 quantitatively:1 thinner:2 best:1 conductivity:1 preparation:1 efi:1 visualize:1 mechanically:1 tensor:11 consistency:1 ways:1 macroscopic:8 review:1 nature:4 polycrystals:1 boundaries:7 favor:1 state:3 deceptively:1 various:3 µh:2 epitaxial:1 between:4 invariant:2 geometric:2 approach:3 across:11 yields:1 ends:2 extend:3 missing:1 importance:1 commercial:1 attention:1 focus:1 however:9 corresponding:1 prediction:1 stress:1 ρzz:1 inclusions:1 hypothesis:1 jj:1 diminution:1 modeling:1 understanding:3 suppressed:1 problem:3 jc:1 concentrated:1 both:9 limits:1 always:2 many:1 taking:2 density:3 equal:3 rzz:1 grain:2 dated:1 disappears:1 los:1 jersey:1 capacitor:1 relevant:1 co:1 extent:1 point:4 simple:11 address:1 corresponds:2 except:1 dimensional:20 represented:1 simply:2 adding:1 spans:1 article:2 moreover:6 shaving:1 throughout:1 considering:1 unusual:2 configuration:1 fused:1 enhancements:1 geometries:2 capable:1 addition:3 locally:1 chirality:1 due:5 been:5 migliori:1 reduction:1 much:5 slowly:1 combined:1 interest:2 basic:3 expected:4 hardly:1 pl:8 fig:33 obtained:4 direction:20 arises:1 resultant:1 requires:3 stoichiometric:4 gap:3 bulk:2 craft:1 determination:2 metals:2 systematic:1 ins:1 spirit:1 present:3 case:6 microns:1 placing:1 veer:1 unlike:2 pacs:1 solid:7 appearance:1 conserved:1 value:2 rectangular:1 will:10 while:8 melted:1 match:1 behavior:8 property:1 conformal:1 abrikosov:3 depleted:1 supply:1 real:1 cylinder:1 played:1 averaging:2 thus:3 surprisingly:1 surface:8 iv:2 ii:3 middle:2 superconducting:1 vs:1 cond:1 dykhne:2 crystals:1 pronounced:1 helium:2 currents:10 sarychev:1 acknowledgments:1 capture:1 different:6 combination:1 grant:1 generic:2 parish:4 away:1 cross:2 same:3 any:2 shorter:1 thinning:1 emphasize:1 modification:1 dimensionless:2 physical:6 grows:1 pan:1 difficult:2 independent:3 magnetoresistance:36 imply:1 forced:1 trajectories:1 effect:6 flows:2 hand:1 inhomogeneities:20 average:3 insulating:1 levels:2 conductors:4 appreciable:1 serves:1 infinite:3 illustrated:3 fabrication:1 expand:1 recent:1 relies:1 scaling:1 lower:1 weakly:1 off:1 center:1 scenario:1 makes:2 substantially:1 nonetheless:1 roughly:1 physics:2 obviously:2 helv:1 patterns:3 materials:4 experimental:6 components:9 sets:1 visualizations:3 model:22 otherwise:1 arising:1 dimension:7 figs:1 left:5 bending:1 construct:1 rosenbaum:6 just:1 less:1 being:1 when:13 networks:4 obtain:2 underlying:1 voltage:17 jetp:3 sufficiently:2 ιi:1 yielding:1 scattering:2 alignment:1 previous:1 blow:1 sampled:2 cut:1 conclusions:2 ease:1 extra:1 character:1 ideal:3 silver:23 signals:1 lattice:1 valid:1 extends:2 location:2 samples:1 neglects:1 mod:1 momentum:1 build:1 kingdom:1 acta:1 saturation:4 insensitive:2 around:1 rev:12 represents:1 bands:1 specimen:2 digital:1 possible:5 regard:1 sweep:1 upturn:1 test:2 know:1 background:1 press:1 using:6 emergence:1 sampling:1 mis:1 essential:2 generated:1 melting:1 pertinent:1 like:7 sizes:1 follows:1 disks:2 glove:1 nanoscience:1 sized:1 ιj:2 either:1 exploiting:1 multiplicative:1 anti:1 disorder:7 reasonably:1 cooled:1 accessible:1 because:2 methods:1 classical:5 successfully:1 acquires:1 calculated:2 strongest:1 growth:1 examples:1 rise:1 doping:1 transport:7 electric:2 provided:2 scale:14 dimensions:9 lead:2 contacts:1 broad:1 avoid:2 measurements:6 depletion:1 critical:1 connecting:1 linearly:1 t12:1 deflections:1 oda:1 pattern:11 demonstrated:3 measuring:1 noise:1 plot:4 performed:1 perpendicular:6 expansion:1 paper:2 reduced:2 boebinger:1 although:2 become:1 standpoint:1 relating:1 properties:3 panel:3 comparison:3 conducting:5 actual:1 would:2 extension:1 extending:1 anomalous:1 dependence:9 simulation:4 range:2 carrier:9 ensure:1 stand:1 captured:1 introduced:2 slightly:2 xu:1 considerations:2 equally:1 cambridge:3 simulated:3 presence:3 previously:1 into:6 within:1 numerically:2 functional:4 three:14 down:1 lies:2 appropriate:1 square:2 accounts:1 stoichiometries:1 determine:2 sov:5 approximately:1 couplings:1 jadwin:1 clustering:1 hines:1 harnessed:1 assumed:1 support:2 there:14 brute:1 long:1 dispersion:1 width:6 indicates:1 quadratic:5 low:7 fraction:1 biggest:1 tunability:1 was:8 naturally:2 function:4 medium:3 complete:1 form:5 reduce:1 collapsed:1 differences:2 but:9 hu:3 volume:1 illuminating:1 related:1 claim:1 impedance:3 line:1 true:1 illustrative:1 partially:1 made:1 fects:1 whether:3 characteristic:3 inside:2 access:1 variations:2 up:9 devices:1 placed:3 owing:1 limit:3 fluctuations:4 distribution:15 pippard:1 magnetotransport:2 agree:1 kirchoff:1 strongly:3 ohm:1 ac:1 required:2 associated:6 ag:5 defined:2 rather:5 universal:2 equipotential:1 linearity:4 deep:1 evidence:2 littlewood:5 single:2 right:5 predictions:1 simulations:5 controlled:1 gradients:1 work:2 internal:1 regime:3 compared:3 us:1 nn:1 no:14 amounts:2 allow:1 whereas:1 generally:4 inset:5 illinois:1 field:61 other:1 role:1 spatial:5 department:3 defg02:1 ag2:16 gaining:1 picture:1 briefly:1 elements:5 separate:1 models:2 problems:1 prepared:1 cb3:1 develops:3 important:2 curvature:1 variable:1 discharge:1 magnetoresistive:2 sides:1 structure:2 network:20 ments:1 coupling:4 assume:2 normally:1 bottom:3 holes:2 rule:1 equivalently:1 depth:1 rxz:16 weights:1 time:1 substantial:3 silica:1 baked:1 original:1 once:3 |
0705.0394.txt |@word ibid:4 nψ:3 sci:2 consider:17 secondly:1 rev:11 b450:1 sensitive:1 results:9 integration:1 leads:7 scalar:12 gc:1 overlap:1 computation:1 edu:3 go:3 follow:1 expressions:2 denotes:1 contributions:2 issues:1 whose:3 depend:1 calculate:5 integral:3 ty:5 iii:4 simplify:3 tr:6 posteriori:1 charge:8 confinement:1 th:8 under:2 analogous:1 include:3 tb:2 worth:2 third:1 ta:5 interacting:2 confirmation:1 string:57 straightforward:1 very:10 krs:3 πcf:1 orland:3 wave:19 witten:1 suggest:1 interpreting:1 fall:1 fab:1 affect:1 emphasized:1 difference:2 exact:2 deformations:1 treating:2 four:1 kinematic:1 obvious:1 y1:1 hamiltonian:33 did:1 evaluation:4 solution:3 large:18 differential:1 ganor:1 science:1 small:23 trp:1 path:4 hospitality:1 barbara:1 reliable:1 solutions:1 application:2 too:1 smaller:1 htb:1 zk:1 haar:1 consistent:2 estimates:4 direct:3 nair:4 ωab:2 approximation:9 zero:17 value:15 insertion:1 concludes:1 further:11 b148:1 linear:14 even:6 reproduce:1 what:6 abc:4 minimization:1 representative:1 lehman:2 section:16 λra:13 expressed:5 find:14 current:4 consistently:2 above:4 bm:2 new:2 whereupon:1 contrast:1 kovner:1 satisfy:1 quenched:1 full:3 led:2 behavior:1 kitp:1 respectively:3 sint:1 cal:2 modify:2 here:7 understanding:3 reported:2 explore:1 them:1 free:1 separation:10 address:2 directions:1 ratio:1 along:1 strong:15 respect:3 appears:1 change:1 extreme:2 obtained:12 daughter:1 b451:1 splitting:3 involved:3 spacial:1 larger:4 completely:1 experience:1 suggests:2 ab2:2 resulting:3 procedure:7 action:24 formation:3 therein:1 forcrand:2 bars:1 involves:2 via:4 useful:4 although:2 gluons:5 explained:4 brs:2 natural:1 logical:1 gluon:7 energies:1 apply:1 during:2 analyses:1 linearly:1 derivatives:2 use:14 d71:1 start:1 would:5 d75:1 covariant:2 beginning:1 visit:1 finally:4 next:5 discrepancies:1 few:1 nucl:12 noting:1 come:1 therefore:5 m2:4 taken:9 ksa:1 means:1 simpler:2 type:3 theoretical:1 more:16 duals:1 duality:3 becomes:4 operators:6 factor:1 corrected:1 odinger:7 khuri:1 unstable:1 appendix:6 controlling:1 normalized:1 particular:5 known:2 vpn:2 producing:1 must:10 extracting:1 states:16 keeping:3 ma:3 d3:3 integrating:1 pursue:1 recall:1 equation:27 work:3 modified:1 theories:5 reviews:1 minimum:2 values:8 temperatures:3 vy:15 following:2 making:1 specifies:1 divergent:2 averages:2 example:5 4m:3 minic:1 compare:4 stephenson:1 picture:6 indicated:1 give:3 process:2 expanding:1 choice:3 preserving:1 neglected:2 purposes:2 pieces:1 high:4 effectively:1 lorentz:5 numbers:2 arise:5 interpreted:1 standard:1 keep:1 evidently:2 simple:4 g2:1 comes:1 regularization:9 end:1 ambiguities:1 provide:1 discussion:3 acts:4 d74:2 off:4 fermion:1 write:6 how:6 nontrivial:2 antiholomorphic:2 pure:4 parameter:4 priori:1 tension:20 rise:1 tried:1 b158:1 may:14 overall:1 earlier:4 variant:1 minimized:1 flattens:1 br:2 hence:2 produce:2 2tr:1 lat:6 representations:19 law:5 data:7 types:3 curve:1 realized:2 short:5 attempt:1 dynamical:1 effective:3 bind:4 φw:3 separations:5 correspond:4 su:11 element:9 δma:2 wishes:1 so:16 fundamental:1 sl:2 representation:13 words:2 order:11 talk:1 typical:1 breaking:25 help:1 leigh:1 september:1 developed:1 over:2 move:1 closeness:1 φe:1 years:2 produced:1 course:4 paper:9 including:1 preliminary:2 left:4 differs:1 existence:1 kinetic:7 still:2 its:3 theoretic:1 before:6 recalling:1 derive:1 group:5 thank:1 acknowledge:1 2e2:4 interesting:3 masses:3 coordinates:1 writing:2 deviation:1 argued:2 degrees:1 choose:1 omitted:2 fij:1 mail:1 might:3 arguments:5 correspondence:1 non:2 good:4 motivated:1 eliminate:1 combination:1 obtaining:3 outlined:1 amenable:1 processes:4 rewritten:2 bound:18 scaling:1 framework:3 effects:5 they:13 das:1 b576:1 sixteen:1 realize:1 chromodynamics:1 eigenvalue:10 term:35 finite:10 indeed:1 b379:1 πrs:23 invariants:1 level:1 2x:7 hermitian:1 principle:2 realistic:1 inequality:1 each:2 advantageous:1 found:2 entirely:2 energetically:1 side:8 characterized:1 referred:3 heavy:9 as2:1 int:2 2u:1 just:2 another:5 evolve:1 doing:2 expansions:1 energy:36 essentials:1 gaussian:4 related:6 conventions:1 constitute:1 elementary:2 literature:1 expect:4 measure:1 loops:5 our:15 approximated:3 beyond:2 eq:1 out:10 respects:1 shown:2 dominates:1 matrix:13 factors:2 δra:2 tensions:2 since:22 crucial:1 research:1 content:1 replacing:3 acting:4 sml:2 spacing:1 ra:4 fija:2 check:2 formula:11 wick:5 issue:5 correct:6 shows:9 foundation:1 after:1 theory:38 interactions:1 derived:2 correspondingly:1 divergence:1 8g:1 possibility:4 quite:1 position:1 λcd:3 approaches:3 complicated:1 york:1 usual:1 e4:2 estimate:13 remainder:1 e0:4 e2:37 lucini:1 definition:3 interaction:2 derivation:1 language:1 created:2 zumino:1 could:4 transition:7 ψg:11 replacement:1 motion:1 turn:4 length:1 isotropic:1 corrections:16 onto:1 think:3 phrased:1 first:18 key:1 4g2:2 philipsen:1 twodimensional:1 symmetry:1 kernel:3 iaa:1 variables:12 xf:1 number:3 interpret:1 neglect:2 restrict:2 δjb:2 done:5 nonperturbative:3 directly:2 wadia:1 carry:2 diagonal:2 thick:1 open:2 several:2 greensite:1 city:1 given:21 perturbation:1 checked:1 publication:2 similarly:2 introduction:2 leading:2 adjoint:15 neutralizing:1 least:3 their:3 glueballs:1 calculations:2 aa2:1 airy:1 ordered:2 variational:10 structures:4 final:3 relations:2 gives:6 shifted:1 holomorphic:7 m0:1 difficult:1 exactly:2 sy:1 prediction:2 part:5 favorable:1 somewhat:2 authors:1 x2:1 supercharges:1 translation:3 x1:3 gross:2 than:7 center:1 distance:3 ifabc:1 wittig:1 sef:1 isolation:1 approximations:10 iteration:1 see:10 annihilation:1 matter:9 future:1 unbroken:1 represents:2 were:1 normally:1 denominators:1 treated:2 trento:1 ia2:2 collecting:1 lowest:2 ansatz:4 conjectural:1 symmetries:2 basically:2 rewrite:2 explicit:2 me2:1 mind:3 argument:3 already:1 say:3 deconfinement:1 need:7 seen:3 unaffected:1 any:5 viewed:4 2mγ:1 lie:1 wilson:21 built:1 rotations:1 general:6 pa:8 latter:1 mills:27 gravity:5 aa:1 note:5 instance:1 articles:1 potential:33 take:14 simplified:4 green:3 mixing:1 subject:1 said:1 kab:2 highlights:1 added:3 shall:7 singlet:13 kas:1 extending:1 involving:2 connected:2 kk:5 significant:2 polyakov:1 pair:2 why:2 inconsistency:1 exponent:1 deviations:2 swzw:4 χs:2 especially:1 considered:2 clear:2 later:2 differ:1 hh:5 kl:3 yang:27 χc:2 spatial:7 exp:10 schulz:1 effect:2 latest:3 physics:4 sum:2 fact:5 quantity:1 slope:1 incorporate:1 emerging:1 particularly:1 show:2 text:2 supported:1 halpern:1 nφ:3 visualized:1 attempts:1 gauge:42 xd2:3 constituent:3 spurious:4 longer:1 d2:13 agrees:2 d0:1 ground:3 santa:1 gravitationsphysik:1 b664:1 provided:1 based:3 nevertheless:1 parameters:2 hope:1 written:7 controls:1 should:9 b464:1 analytic:6 only:12 explicitly:1 generators:1 screening:12 ambiguity:2 pursuing:1 adequate:5 d66:1 local:4 oct:1 rectangle:1 do:3 dominant:1 dissimilar:1 cubic:3 get:7 dependent:3 simplest:1 db:1 expectation:8 generalizable:1 bringoltz:3 cannot:2 shifman:1 negative:1 closely:2 dw:5 dt:1 ita:4 d52:1 freedman:2 annihilate:1 gray:1 evolution:1 b434:1 constituents:5 continuum:8 fields:25 arxiv:9 δφa:4 diverge:1 yield:1 summary:1 appear:1 twice:1 gbs:1 contain:1 ality:7 ph:1 view:1 δja:3 preserve:2 redefine:1 set:10 computed:3 reference:2 approximating:1 national:1 testing:1 mentioned:5 namely:4 justification:2 college:2 result:13 discussions:2 terms:77 dµ:6 jη:11 satisfies:1 best:1 techniques:3 regulator:5 y2:1 dk2:1 commutation:2 binds:1 ways:1 review:1 nongaussian:1 equal:2 functionals:9 tend:1 d59:1 state:37 various:8 chosen:1 correctly:1 between:11 understood:2 invariant:19 justified:1 d53:1 approach:8 available:1 notice:6 recently:2 statistically:2 nature:2 distinct:1 component:1 attention:1 points:5 however:10 otherwise:2 ωa:1 cut:2 unregulated:1 wr:4 extent:1 analyzed:3 σa:2 suppressed:7 ja:4 jb:2 improve:1 suggested:1 both:4 last:7 limits:2 many:3 taking:3 hint:1 σf:2 constructed:1 april:1 involve:3 context:2 casimir:5 bronx:1 σr:5 contribution:4 argue:1 adapted:1 gma:1 hτ:8 δaa:3 comment:2 among:1 perturbative:1 elaborating:1 point:14 reasons:2 connection:1 ca:17 wonder:1 corresponds:2 parametrization:3 dimensional:11 grants:2 regulated:3 consideration:1 cr:2 actually:3 negligible:5 second:3 pr:26 ps:25 complication:1 singlets:1 described:1 transformations:2 tc:1 lattice:22 addition:4 prelude:1 strings:1 three:7 been:13 screened:2 ai:2 reduction:1 much:5 logarithmic:1 interest:2 anisotropic:2 proposal:2 jc:2 oβ:4 oα:18 define:5 direction:1 arises:2 supersymmetric:4 indirect:1 commutes:1 scalars:7 quantities:1 sufficient:1 formed:1 bmn:1 mca:3 ordering:2 cuny:6 understand:4 external:19 ours:2 abhishek:2 maximally:1 irrelevant:1 present:2 case:16 extracted:1 fur:1 exponential:1 b524:1 armoni:1 straight:1 evaluated:5 act:4 will:30 euclidean:5 while:4 p2:1 replaced:2 evaluating:3 property:1 rbc:1 couplings:1 loop:9 ein:4 generate:1 deferring:1 coupled:4 determination:1 simulations:2 thus:12 violating:1 iv:3 ii:11 comparing:1 sonnenschein:1 im:2 dual:1 bauer:1 ym:1 nation:1 vanish:1 teper:4 currents:2 increased:1 different:9 develop:2 gluelump:22 propagation:5 powers:10 make:3 amn:1 ccny:3 same:8 δχa:8 φa:6 d70:1 complex:7 potentially:1 emphasize:1 fabc:1 psc:1 d19:1 regime:2 φm:1 higher:10 independent:2 calculation:16 used:21 dimg:1 trivially:2 ik2:1 numerical:2 mutual:1 counterparts:1 hand:5 b550:1 average:7 phy:2 arrived:1 introduce:2 kim:2 potentials:2 composition:1 invariance:7 interested:3 normalization:1 recent:3 amplitude:3 lower:2 task:1 schr:8 modes:7 charges:12 expression:12 vertices:2 well:4 kept:2 analysis:19 obviously:1 de:1 characterizing:1 components:1 convenient:2 exponentials:1 quantitative:2 model:1 grounds:2 arising:1 lin:1 charged:1 distances:1 construct:3 quoted:1 less:1 being:2 generally:2 accurate:1 glueball:3 obtain:3 rest:1 vanishes:1 relevant:2 thanks:1 questions:2 immediately:1 momenta:12 yet:2 previous:3 semenoff:1 now:12 field:11 regarded:2 nonrelativistic:3 except:4 color:14 valid:1 lett:7 easy:2 relevance:1 mod:3 solvable:1 remaining:3 momentum:4 gave:2 real:3 b671:2 around:1 depends:2 easily:1 conclude:1 evaluate:2 breaks:5 papers:1 sums:1 possible:7 maldacena:1 describe:1 indicative:2 know:3 vacuum:15 using:15 emergence:1 complexification:1 apart:1 generated:1 institut:1 modifications:1 d16:2 necessary:1 like:5 particle:3 follows:4 qualitative:4 manifest:1 specific:1 collect:1 δj:7 either:2 arbitrary:1 particles:4 analyzing:2 reduced:3 δa:3 mathematical:1 formulae:2 right:6 sequence:1 some:14 back:1 kogan:1 2y:1 calculated:4 towards:1 suppl:1 choosing:1 nondiagonal:2 extended:2 nonzero:4 separately:2 scale:2 represent:1 dimensions:12 lead:6 2e:1 avoid:3 normal:2 extensively:1 comments:4 propagators:1 b295:1 does:4 connecting:6 meaningful:1 indication:1 propagating:1 proc:1 minimal:2 redefinition:1 inserting:2 considering:1 dimensionally:1 ba:1 power:1 sensible:1 elucidate:2 equivalent:1 wavefunctions:1 agreement:5 expansion:13 step:5 mansfield:2 reduces:1 ratios:2 2m:21 imaginary:2 refers:2 properties:2 stage:2 comparison:3 about:3 actual:1 carried:2 extension:2 commutator:3 og:12 freedom:1 basis:1 discussed:4 dependence:2 o:23 deserves:1 a2:4 ak:3 obeys:1 πm2:1 simplification:1 introduced:3 slightly:1 block:3 considerations:2 david:1 contractions:10 into:4 within:9 numerically:2 functional:14 nonperturbatively:1 due:9 pisarski:2 appropriate:3 because:5 references:2 wess:1 operator:20 versions:1 binding:2 strategy:2 bosonic:1 relativistic:1 barak:1 hep:10 log:7 area:6 jhep:2 removing:1 there:23 question:8 approximate:2 specifically:2 width:1 quadratic:6 low:3 way:5 series:2 analyze:2 was:13 propagator:3 naturally:2 function:20 hy:8 farm:2 elsewhere:2 form:27 enough:5 differences:3 but:15 volume:1 neutral:1 properly:1 salpeter:1 line:15 sense:1 k22:1 gaugeinvariant:2 wχ:1 absent:2 made:2 rajeev:1 dψ:2 evident:1 regularized:6 whether:4 robustness:1 up:7 us:1 bethe:1 dφ:10 below:1 quantum:2 limit:17 contraction:1 ix2:2 problem:1 matsubara:1 similar:5 called:2 regimes:1 mechanics:1 separated:1 ac:2 ab:49 constant:2 ag:3 defined:10 certain:1 abstract:1 contribute:4 denote:1 continued:1 karabali:4 single:3 ar:2 a12:1 formulation:3 corresponding:6 formalism:5 combining:1 eigenstate:1 physical:4 again:1 functions:3 compared:5 nn:1 no:6 when:9 detail:1 virtual:1 ny:2 other:12 planck:1 details:4 yaffe:1 brings:1 department:2 additional:1 most:1 deviate:1 χb:26 δab:4 explaining:1 briefly:2 elements:2 a11:1 χa:7 calculating:2 emerges:1 lightcone:1 vertex:1 ultimately:1 subtraction:2 a1:8 a0:1 a3:2 important:6 groups:1 a4:1 included:1 generalized:1 astronomy:1 needed:4 structure:1 ago:2 max:1 coupling:21 coulomb:11 perturbatively:1 dχ:3 rather:1 unambiguous:1 2mσ:3 carrying:2 mass:13 time:7 far:2 observables:1 starting:1 original:2 once:4 |
0705.0395.txt |@word homomorphism:1 consider:6 corps:1 equalities:2 results:8 four:1 mild:1 proposition:11 prenex:1 consists:1 partial:1 conservative:8 assembled:1 gi:5 whose:1 certainly:1 inverse:2 depend:1 paris:1 technique:3 tr:16 contained:2 languages:11 finally:2 tm:11 tj:1 adically:5 th:16 under:9 tg:2 analogous:1 te:5 tb:3 division:2 predicate:7 advantage:1 very:2 rise:1 springer:3 choice:5 rl:1 corollary:7 every:26 rm:2 ln:1 condition:8 basics:1 beginning:1 subsets:1 presented:1 turns:3 notes:2 michael:1 solution:1 t1:22 large:17 discrete:1 convenience:1 div:1 shows:5 solutions:2 dries:3 des:2 neighborhood:4 pum:6 quantifiers:7 lecture:2 conjunctions:5 approximation:2 zero:4 quaderni:2 perspective:2 substituting:2 further:1 reine:2 implemented:1 expressive:1 canonical:1 residue:10 established:2 what:4 presburger:4 stands:3 deeply:1 section:26 expressed:2 gj:6 current:1 tarski:3 version:2 above:5 new:1 method:2 paragraph:1 satisfy:2 completion:1 notions:1 degree:13 respectively:9 component:5 equals:2 answers:1 desired:6 groups:12 consideration:1 along:1 standard:1 equations:8 appears:3 interpret:1 divisibility:1 obtained:2 remark:9 xmj:1 larger:4 contradiction:15 suggests:2 pick:1 usually:4 deg:16 being:1 formulated:3 shorthand:1 addresses:1 extra:2 requiring:1 vii:1 logical:14 modifying:1 inequality:4 summation:1 apply:1 mckenna:3 total:1 tools:1 linearly:1 tn:22 use:12 additive:2 proceed:2 would:1 prove:4 distinct:3 positive:3 contains:5 hensel:5 next:3 few:1 closedness:2 subsumed:1 therefore:1 m2:1 quotients:2 type:36 more:6 sort:27 flat:4 mellon:1 formally:1 ti:2 berlin:3 conjunct:4 basically:1 particular:4 known:3 cases:2 hold:2 iii:5 td:1 must:3 high:1 lowercase:1 valued:39 recall:2 work:6 mi:1 modified:1 mj:1 abundant:1 mv:8 obvious:2 den:3 concepts:1 following:16 root:2 example:11 proof:42 f0:7 claim:2 f2:1 impose:1 indicated:1 give:4 involve:3 contradicts:1 assumptions:2 numbers:4 naturality:3 lacks:1 weaken:1 end:1 goal:1 rather:2 discussion:3 holds:6 write:17 maps:5 criterion:5 answer:3 instead:4 verlag:2 vf2:1 vf1:1 vf0:2 fp:3 map:6 product:2 de:2 substructure:6 algebra:2 may:28 assimilated:1 after:1 exactly:1 consequence:2 fb:3 adic:8 manuscripta:2 predicates:3 fi:23 fj:6 fk:2 concerns:1 constants:1 induction:3 natural:27 imply:1 whenever:2 roquette:2 correspond:1 element:20 lou:1 ones:2 so:55 lγ:4 sm:5 definitions:1 sa:2 brf:1 order:5 restriction:8 s0:7 interpretation:1 subsections:1 indeed:1 over:6 satisfied:5 parts:1 interpreted:5 symbols:2 course:5 paper:2 through:3 thesis:1 omitting:6 mentioned:2 satisfies:9 still:1 its:17 roots:1 before:1 lg:3 style:10 conjunction:6 group:29 how:1 summands:3 lo:1 fix:3 lk:9 lh:12 actually:5 omit:2 coarsening:7 lr:8 choose:6 lp:14 mail:1 main:6 defining:3 s1:2 maximal:7 pu:7 non:2 good:2 combination:1 propose:1 ye:6 they:8 clopen:19 now:16 nor:1 establishes:1 easily:4 2v:1 finite:7 stated:1 always:2 university:2 occurrences:1 sufficiently:15 iff:1 equational:1 l2:2 each:36 universit:1 xei:1 mean:1 subset:2 en:4 ei:10 simplicity:1 ed:1 hard:4 conventions:1 used:6 our:3 pu1:2 special:3 out:7 shown:1 continuity:1 separably:2 examination:1 since:36 crucial:2 jarden:1 denotes:1 rd:4 replacing:1 laid:1 reader:1 denoted:3 formula:47 rn:2 induced:7 suffices:1 math:4 rk:25 foundation:1 pun:6 philosophy:1 theory:14 puj:6 contain:13 surveys:1 free:15 quite:6 admits:27 nth:10 reason:2 base:3 belgique:1 angus:2 franz:1 approach:1 e1:3 e0:11 additional:2 definition:8 ate:1 language:36 napoli:1 prestel:4 similarly:6 henselian:48 introduction:1 length:1 place:1 hence:13 existential:7 first:6 separable:4 xk:5 already:2 thereom:1 xl:2 xm:3 omitted:1 variables:13 symbolic:2 number:17 rank:17 nested:1 transcendence:3 clear:1 done:1 construct:3 another:2 carry:2 says:1 ring:14 open:13 angular:4 subring:4 given:2 needed:3 ordering:5 top:2 yin:13 least:4 eles:1 their:1 assumption:1 types:6 structures:3 exponents:3 denominators:1 tuple:1 pittsburgh:1 continuous:3 serve:1 immediate:1 short:1 authors:1 x1:8 than:5 coefficients:4 zγ:1 finitely:1 kind:1 divisible:4 namely:2 classes:1 ard:1 providing:1 powers:3 raf:1 fashion:1 generality:4 rewrite:2 quelques:1 argument:6 say:9 angew:2 sentences:1 need:6 seen:2 seem:2 antonio:2 any:28 template:2 depending:1 pa:1 latter:1 viktor:1 isolate:2 isolated:2 note:12 k2:1 ideal:5 k0:10 prototypical:3 reals:1 gmail:1 adopted:1 formulas:18 begin:1 sequel:1 unless:1 advances:1 shall:14 algebraic:11 regular:1 pair:4 cleared:1 intrinsic:1 class:4 es:1 appear:7 workshop:1 kuhlmann:1 takes:1 prolongation:3 behaves:1 ki:2 later:1 cover:1 kn:4 submodel:1 proceedings:1 ku:1 pku:2 notion:2 fact:9 precise:1 disjuncts:1 show:13 rtu:14 relation:3 definable:4 saturated:1 lexicographic:2 trivial:3 find:4 q1:8 cell:1 inductive:2 xmi:1 parameters:1 specified:1 topological:1 lemma:59 only:13 explicitly:1 subsection:4 transcendental:2 constant:3 local:1 preliminaries:1 achieve:1 dn:8 abelian:3 intersect:2 dh:4 get:4 dependent:2 familiar:1 elementarily:3 xj:3 bear:1 obtain:1 cannot:6 ϕi:5 words:1 aζ:5 quantifier:17 designates:4 neither:1 alexander:3 closure:6 defectless:2 held:1 fields:33 arxiv:1 modern:1 sum:2 between:1 qe:43 disjunctive:3 qk:4 fixed:2 set:17 modulo:9 notational:1 module:1 relative:1 y1:6 see:30 rf:1 result:9 fail:1 close:2 theoretic:3 analog:1 techniques:1 wa:1 pui:5 subsequent:1 rings:13 eorie:1 written:8 smallest:5 various:2 chosen:5 closed:27 routine:1 ui:2 sorts:3 previous:2 conditions:24 counterexample:1 comparable:4 attention:1 terms:2 extend:1 importance:1 wl:19 wk:2 however:6 ζi:13 concentrate:2 hypothesis:2 here:1 wq:4 tud:1 inertia:3 topology:17 both:6 essentially:1 last:6 many:1 infinitely:1 equal:1 etc:7 admit:1 embedding:1 logic:4 volker:1 passing:1 adapted:1 asked:1 otherwise:4 arbitrarily:1 among:1 characterization:13 simple:5 corresponds:1 ce:1 simply:6 polynomial:5 respect:24 zeta:1 throughout:4 simpler:1 considering:2 forms:2 pp:11 described:2 raise:1 second:1 basis:1 three:6 been:2 prime:1 literal:1 much:4 basic:3 ph:1 pn:14 define:8 direction:2 aj:3 corresponding:6 sufficient:2 σi:8 else:1 bulk:2 lives:1 c1:1 general:8 those:1 case:5 char:23 schmidt:1 unlike:1 examine:1 value:9 will:8 near:1 proves:1 suppose:17 behavior:1 situation:1 di:6 property:6 procedure:1 k1:5 unsatisfactory:1 commutative:1 vf:11 vh:1 vk:3 vn:2 iv:5 ii:6 vq:1 itself:2 counterexamples:1 fn:2 engler:2 binary:1 different:3 pas:15 journal:2 cross:1 same:10 clearly:15 pac:5 largest:2 units:2 della:1 proved:1 defines:8 composition:1 independent:1 extended:1 context:1 u1:1 conjunctive:1 uniform:1 hand:3 v1:3 uses:5 subgroups:1 relies:1 immaterial:1 com:1 well:4 obviously:3 without:9 sets:11 model:6 johan:1 dimension:2 subgroup:22 just:3 sentence:1 monomial:3 newton:2 denef:13 rest:4 unary:2 identify:1 atomic:2 immediately:2 facts:2 useful:1 λi:2 yet:1 projection:1 adding:1 integer:1 density:2 la:1 point:1 except:6 source:1 tuples:2 easy:4 theorem:36 guarantees:2 heidelberg:1 real:8 devised:1 subfield:8 qj:2 using:1 existentially:3 unique:3 moreover:3 vague:1 mod:1 loss:4 conjuncts:4 follows:6 xe:8 coarsened:1 kenneth:1 boolean:1 steps:2 either:8 characterizes:1 output:1 works:1 essential:2 mathematical:1 satisfactory:1 because:3 methods:1 deal:1 sequence:2 do:2 some:23 play:1 algebraically:4 ideals:2 deduce:2 repeat:1 b0:1 weispfenning:1 convex:6 proper:6 proofs:2 zariski:1 nonzero:18 canonically:1 vol:11 macintyre:14 literals:10 nonempty:2 establish:3 normal:5 manipulations:1 everything:2 ac1:1 does:19 decomposition:2 unit:3 yields:2 o2:6 o1:17 conference:1 tdi:1 run:5 power:7 equivalent:15 martin:1 notable:1 step:23 f1:2 variation:2 although:1 prolongations:2 seconda:1 properties:8 incomparable:3 chapter:1 integers:3 about:3 carried:5 extension:8 most:2 theorems:1 o:54 remains:1 carries:3 extensions:1 stand:2 ov:1 introduced:1 slightly:1 cofinal:11 block:1 em:4 letters:2 inclusion:1 into:5 h1:1 integral:1 isomorphic:1 usa:1 references:1 elementary:4 van:3 log:1 vˆ:3 cluckers:1 treated:1 there:40 question:10 soci:1 why:1 lor:3 start:1 subrings:1 way:4 series:2 m1:5 rcf:1 subfields:2 naturally:1 function:6 tight:9 complete:2 form:22 something:1 converse:8 carnegie:1 but:10 hj:6 failure:1 judged:1 matematica:3 elimination:6 line:1 valuation:66 witness:1 propri:1 disjunctions:1 october:1 applying:2 ux:5 whether:1 characteristic:6 variations:1 us:2 um:2 assume:17 below:3 un:8 limit:2 mature:1 uj:6 ue:1 problem:1 fried:1 similar:1 called:2 care:1 ac:59 ordered:11 yj:5 ai:3 certain:3 abstract:1 describe:4 am:7 denote:3 henselization:7 xk0:1 single:1 θi:8 axiomatized:1 check:1 constructed:2 ziegler:1 again:9 functions:1 peter:1 completeness:1 ematique:1 no:9 galois:1 mathematica:2 when:4 reduct:1 field:63 other:13 role:1 details:1 department:1 mathematics:3 really:1 concerning:1 arithmetic:1 nw:1 conclude:2 elements:3 kinds:2 regardless:1 provided:1 symbol:3 polynomials:6 includes:1 a1:5 a0:21 generated:4 important:3 bounded:1 dense:6 disjunction:5 oh1:1 structure:15 implies:4 longer:1 syntactical:1 monic:1 ranks:2 values:1 pseudo:1 bulletin:1 ramification:3 χi:4 restricted:1 push:2 n1:3 n2:3 moshe:1 expands:2 |
0705.0396.txt |@word snia:12 monte:1 consider:7 pointing:1 represent:1 squared:2 astron:2 focus:2 attractors:1 leads:1 scalar:5 amendola:5 mℓ:2 trodden:3 consists:2 gn:1 gm:2 research:1 farese:2 gr:5 whose:3 sahni:3 linder:1 solution:1 departing:1 tain:1 critical:4 present:16 excluded:1 under:5 tegmark:1 geom:1 include:1 cm3:3 worth:2 case:9 moreover:1 rel:3 broadly:1 outside:3 very:11 mpl:3 assuming:1 αrn:6 results:2 ρb:4 fall:1 hµν:1 emphasized:1 difference:1 condition:11 four:1 presented:1 forth:1 notes:1 nucl:1 guo:1 3x2:1 damped:1 large:3 solved:1 carloni:2 further:1 eigenvalues:2 smaller:9 force:1 paolis:1 oscillation:1 braneworld:1 francaviglia:1 consistent:4 zb:7 zc:17 past:4 second:1 d69:1 pass:1 qualitatively:2 dynamics:2 estimated:1 λcdm:23 even:3 what:2 nonlinear:1 appear:1 incompatible:1 sun:3 section:3 dr2:1 near:2 ωrad:1 current:3 3h:5 above:4 8πgn:1 values:8 3a:1 3f:3 thin:7 satisfy:10 integrated:1 excludes:1 respectively:5 finetuned:1 here:6 ranges:1 tangent:1 illustration:1 jcap:4 quite:1 equations:5 appears:1 change:1 obtained:5 great:1 wde:29 zerbini:1 study:2 larger:7 allows:1 prior:1 action:1 adopting:1 deg:1 changes:2 plotted:1 attractor:2 via:1 followed:3 lasts:1 figure:3 scales:1 marginal:1 sign:2 appleby:1 decrease:1 frame:4 cassini:1 apply:1 fairbairn:1 planck:1 select:1 plot:2 use:1 asymptotic:3 would:1 positive:6 negative:2 next:1 few:2 linear:6 sitter:5 therefore:2 ρrad:5 m2:1 robertson:1 means:1 type:1 metric:2 today:1 more:1 sotiriou:3 flat:1 tsujikawa:9 th:3 becomes:6 acceptable:3 stable:5 validity:2 particular:2 cases:4 iii:4 ρa:2 account:1 crosses:3 ma:1 mc:1 mb:3 mm:1 equation:12 saddle:4 ρm:5 modified:4 gundlach:1 theories:1 tavakol:2 renders:1 era:7 following:3 making:1 dec:1 example:2 initial:3 f0:10 meant:1 radius:1 wang:3 cosmological:16 give:2 relativistic:1 gastaldi:1 carroll:4 high:4 fay:2 performed:1 dxi:1 allowed:2 distinguishable:1 occur:2 copeland:1 requirements:1 provide:1 six:1 feature:2 bunn:1 write:1 criterion:2 get:1 instead:1 parameter:11 onemli:1 esposito:2 exemplify:1 astroph:2 express:1 quintom:1 kahya:1 after:3 derived:1 different:6 mota:1 gunma:2 plane:3 deviates:2 coming:1 summarize:2 da:1 data:7 parallel:1 types:1 βeff:3 realized:4 introduced:2 λ2n:1 dynamical:1 effective:8 whenever:1 slightly:1 grant:1 departure:1 cosmology:2 accelerated:9 so:1 sn:2 order:6 origin:1 zlatev:1 holds:3 amarzguioui:1 indeed:1 satisfied:3 osservatorio:1 paper:5 through:3 dveff:1 signs:1 japan:1 satisfies:4 still:3 galaxy:1 gannouji:3 observational:9 huterer:1 x21:1 rapidly:3 thank:1 la:1 ln:1 interesting:4 masses:1 lm:2 epoch:17 exhibits:2 actually:2 late:5 absence:2 parts:1 fig:4 inaf:1 derivative:1 main:2 defining:2 setting:1 maximal:1 them:1 bernat:1 faraoni:3 introduce:2 they:4 mao:1 singularity:6 now:2 khoury:2 realize:1 possess:1 develops:1 represents:1 february:1 gets:3 always:1 classified:1 annals:1 identified:1 2f:1 magnitude:1 luca:1 each:2 crossing:9 2m:4 2n:5 higher:2 2h:3 easson:1 characterized:1 constraints:21 heavy:1 energy:12 related:2 cmb:14 equivalence:2 astrophysical:1 combining:1 our:2 approximated:1 eq:7 out:4 cosmologically:4 shown:2 matrix:1 rr:5 space:1 restricted:1 astier:1 since:9 lagrangian:1 viability:1 denotes:1 increase:1 rf:8 dominated:2 rb:7 rc:14 constants:1 rn:2 ref:7 viable:12 m2b:1 shows:5 occurs:3 numerical:1 theory:3 found:2 singularities:1 divergence:3 possibility:1 standard:2 small:1 approaches:7 toy:2 hep:3 additional:1 r0:3 r1:8 r2:3 nesseris:2 starts:1 could:3 transition:2 cosmic:3 place:1 hence:3 first:2 exotic:1 xi:1 features:2 symmetry:1 variables:1 pa:10 number:1 infinite:1 done:1 approximately:2 directly:1 battye:1 angular:1 size:1 passes:3 given:14 necessarily:2 checked:1 introduction:1 leading:1 eqs:1 behaves:1 system:9 relations:1 compatibility:1 perturbations:1 observations:9 variational:2 violated:3 gives:3 olmo:3 shell:7 alam:1 shinji:1 part:1 frascati:1 x2:10 x3:14 x1:12 than:15 x4:7 3hρm:1 approximation:3 2f0:1 showed:1 hoyle:1 require:4 measured:1 zero:2 matter:29 classes:3 were:1 bare:1 toward:3 distinguished:1 exhibit:4 rad:1 sees:1 correction:1 spectrum:1 curves:3 ρde:8 flanagan:1 close:8 need:2 seen:1 turner:1 constrained:5 orders:1 allemandi:2 acceleration:9 lie:1 fujii:1 polarski:7 newtonian:2 min:1 convenient:2 latter:1 gravity:16 mechanism:2 note:10 decomposing:1 potential:6 take:2 jacobian:1 spergel:1 perturbation:6 wmap:2 cunha:1 unless:2 bruck:1 though:1 collaboration:1 denominator:1 reach:1 most:3 petrov:1 detect:1 significant:3 phase:1 acknowledgements:1 extremely:2 class:14 deviations:1 especially:1 nonlinearity:1 characterizes:1 considered:1 clear:1 erickcek:2 stronger:2 porrati:1 liberati:1 points:3 grossly:1 exp:2 vollick:1 bazeia:1 constrain:1 physics:1 dot:1 quantity:2 precise:1 planetary:1 simultaneously:1 show:5 supported:1 cosmologies:2 multamaki:1 attempts:1 relation:4 astrophys:3 earth:3 d4:1 d2:2 find:12 fifth:1 feng:1 cardone:1 parameters:3 baryonic:1 explain:2 written:1 catone:1 peculiar:3 only:3 experiment:2 factor:1 employed:1 ruggiero:1 meng:1 local:10 hall:1 dn:1 do:3 lobo:1 dm:1 3m:4 di:1 df:1 kamionkowski:1 between:5 quantified:2 menezes:1 prolonged:1 bean:1 ones:1 dz:3 new:1 duvvuri:1 dr:2 subscript:1 liu:1 evolution:7 heckel:1 densities:2 settings:1 approach:3 arxiv:19 grav:5 navarro:2 qc:5 experiments:6 li:4 carneiro:1 including:1 barrow:2 fixed:2 valid:1 view:1 body:11 set:1 borowiec:2 exists:5 ricci:3 clarified:1 undergoes:1 national:1 up:1 epochs:2 opposite:1 see:11 college:1 rc2:1 existence:1 discussions:2 terms:3 c2s:1 satisfying:6 review:1 szydlowski:1 porzio:1 symmetric:3 state:10 future:3 various:1 4πr:1 simplest:1 limit:3 boundary:3 conditions:5 ima:1 notice:1 wd:1 recently:3 supernova:2 weak:2 however:5 vanishing:1 swanson:1 distinguish:1 article:2 jetp:1 both:4 cos:1 many:1 region:16 conclusions:1 rept:1 jin:1 dated:1 behaviour:1 pde:7 expression:1 finds:1 comes:3 minima:1 relativity:1 point:15 appeared:1 corresponds:9 nadeau:1 simply:1 starobinsky:8 applicability:1 cs:1 table:4 throughout:2 considering:3 better:1 described:1 dobado:1 decoupling:1 trajectory:5 odintsov:6 three:3 been:2 pb:7 int:6 much:9 goes:1 ph:7 hardly:1 dℓ:3 pm:11 field:6 corresponding:3 6f:1 6h:1 lgc:9 sufficient:2 6m:1 gen:2 observe:1 understand:1 representative:2 demand:2 θs:4 evidence:1 former:1 those:1 sound:4 explicitly:1 intriguing:1 schmidt:1 tanh:1 ingrosso:1 straight:3 value:8 choices:1 will:6 while:3 replaced:1 piao:1 behavior:2 error:1 situation:1 conformal:1 taking:1 procedure:1 identical:1 studied:1 refs:4 thus:2 non:3 surface:1 iv:3 ii:11 ia:3 zhang:5 technology:1 confirmed:1 italy:1 trial:1 appreciable:1 radiation:10 indistinguishable:1 any:1 beside:1 φa:4 unity:6 φc:3 quant:3 arguments:1 several:4 confronting:1 consequence:1 difficult:3 nucita:1 used:1 peaks:1 maeda:1 trajectories:5 effect:1 hand:1 average:1 padmanabhan:1 dolgov:1 dust:1 changing:1 jsps:1 contribution:1 tighter:2 recent:1 mentioning:1 tracking:1 center:3 scenario:1 uddin:1 ratra:2 well:3 cruz:1 analysis:5 de:24 without:1 experimental:1 roma:2 position:1 model:38 bodies:5 usual:1 spherical:1 sec:1 stringent:2 zdec:3 proposed:3 less:1 being:2 generally:3 obtain:7 identify:1 cognola:1 spherically:3 useful:1 poplawski:1 speed:1 λn:2 previous:2 chiba:2 enters:1 bertolami:1 density:21 zakharov:1 regarded:1 conclude:1 smith:2 except:1 nojiri:6 5m:1 add:1 belongs:1 lett:16 heavier:1 transformation:1 real:1 tests:1 yukawa:1 around:5 astronomico:1 possible:2 period:1 dark:8 test:1 increases:2 background:6 using:4 intersection:1 8πg:1 boisseau:1 dombriz:1 mod:7 like:1 submission:2 confront:1 adiabatic:1 δr:2 translates:3 φb:7 imposes:1 unstable:1 experimentally:1 follows:2 δf:1 kawasaki:1 reduced:1 because:5 rydbeck:1 some:5 back:1 understood:1 b1:5 redshifts:3 elgaroy:1 happens:1 provided:2 scale:4 lead:1 shall:3 inside:2 microwave:2 dunsby:1 does:4 connecting:1 tends:1 brookfield:1 minimal:1 6mpl:1 power:1 bc:2 equivalent:1 oscillating:1 expansion:2 tretyakov:1 although:1 acoustic:1 pogosian:1 post:1 stage:1 geff:1 a1:6 about:3 carried:3 constraint:14 universe:1 discussed:1 ob:1 o:7 range:4 important:1 ensure:1 horizon:3 perivolaropoulos:2 adelberger:1 generalization:1 2x3:5 mean:1 consequently:1 m2a:1 rev:49 steinhardt:1 redshift:11 into:7 within:2 clifton:1 bound:5 due:1 included:1 lensing:1 einstein:5 godlowski:1 physical:1 song:1 van:3 log:4 3ρb:1 there:5 sawicki:6 transform:1 long:2 lect:1 conservation:1 silvestri:2 low:1 way:2 slopes:1 boehmer:1 was:2 palatini:1 chu:1 function:7 interest:1 form:2 veff:3 criteria:1 but:3 hu:6 astro:7 link:2 solar:5 line:7 hf:1 faulkner:1 applying:1 minkowski:1 gravitational:5 maximum:3 us:3 sami:1 below:3 ωm:7 occhionero:1 continuously:1 autonomous:1 define:1 similar:4 display:1 distance:3 detailed:1 diverges:2 constant:9 introducing:3 defined:4 kapner:1 decreases:4 grqc:2 troisi:3 deep:1 general:3 weff:5 conserved:1 ar:2 au:2 laboratory:2 woodard:1 formalism:1 meth:1 regime:2 phantom:10 friedmann:1 extending:1 discriminate:1 no:2 whereas:2 weltman:2 when:8 detail:1 associated:1 tight:2 wetterich:1 other:8 branch:1 capozziello:5 department:1 tightest:1 acoleyen:2 principle:2 deviation:8 peebles:2 suppl:1 living:2 models:49 3f0:1 deriving:1 a3:3 a2:5 variable:4 sokolowski:1 chameleon:3 structure:1 independently:1 implies:1 coupling:4 dφ:2 lrad:2 harko:1 required:2 curve:1 together:3 eos:3 4m:4 mass:9 fact:5 time:9 walker:1 requires:1 having:1 |
0705.0397.txt |@word extrapolated:13 dynamic:1 four:4 gavai:3 entropy:14 poorly:1 whose:4 calculate:2 under:3 chirally:4 rise:1 figs:7 summarized:1 experimentally:1 solution:2 integrated:2 frozen:1 extrapolates:3 chemically:2 reliable:2 degeneracy:1 jhep:4 force:1 pragmatic:1 consistent:7 almond:1 estimates:1 direct:1 approximation:2 second:3 qualitatively:2 estimated:6 blue:4 aim:1 errors:1 selected:2 supplied:1 above:15 net:11 increasing:1 coefficient:2 simultaneously:1 behavior:3 residual:1 here:27 reported:2 asymmetry:3 mev:33 quark:61 logarithmic:1 obtained:12 fireballs:1 study:6 approaches:1 adopting:1 suitable:1 changes:1 appropriately:1 gluons:9 visible:5 cassing:2 linearly:3 derivatives:5 would:6 tabulated:3 therefore:10 distortions:1 type:2 successful:2 oscar:4 naive:1 curvature:1 correspondingly:2 excellent:2 hold:1 must:5 abundance:1 md:1 ma:3 thaler:1 work:1 mh:1 mu:1 temperatures:9 example:2 wang:4 indicated:1 give:3 relativistic:5 organized:1 generically:1 involve:1 indicates:4 caution:1 keep:3 end:3 provide:4 feature:2 sollfrank:2 far:5 hot:2 iancu:1 description:9 replacing:2 thermodynamic:16 earlier:2 minimized:1 minkowski:1 diagram:2 lat:1 attempt:1 effective:3 schneider:2 maintain:1 green:1 enter:1 order:11 interpretation:1 over:11 vary:1 thesis:2 affect:2 linewidth:1 before:2 fit:36 reweighting:1 exhibits:1 better:1 hirano:4 distinguishing:1 fig:79 schmidt:3 easier:1 them:5 greiner:1 break:1 band:1 effects:27 they:9 represents:2 reasonable:2 each:4 interpolation:9 mean:3 independent:8 series:9 nt3:1 principles:2 shifman:1 combining:1 extract:1 driving:2 particles:4 conjectured:1 xu:1 trajectories:11 mρ:1 linear:6 free:3 standard:2 estimate:1 incorporates:1 chiral:5 created:5 starts:1 signature:1 guesswork:1 onto:1 already:3 features:2 wash:1 nonperturbative:1 another:1 thick:1 illustrate:2 their:8 eqs:5 approximately:1 needed:2 intermediate:3 rates:2 too:3 postulate:1 tool:1 somewhat:2 peculiar:1 cheng:1 begins:1 gazdzicki:1 approximations:3 likely:1 project:1 matter:16 feeling:1 powers:1 perturbative:5 bridge:2 sees:1 mind:1 spectrum:8 raw:8 seen:6 seem:1 chem:2 convenient:2 latter:5 fitting:3 causing:1 absorbed:3 circles:8 even:6 though:3 viscosity:1 eliminates:1 boltzmann:4 germany:2 phase:27 observation:1 calculated:3 partition:2 flow:40 points:4 sum:1 fitted:7 signatures:1 probe:1 infrared:1 gauge:2 keywords:1 finally:1 latent:6 proposed:2 spite:1 implementation:1 thermodynamically:5 dn:6 do:7 dk:3 dg:1 de:4 fluid:18 da:3 dy:7 dt:1 ds:2 dp:2 dq:2 µ2f:1 covering:1 acknowledgments:1 bag:20 µ2q:2 analytical:2 teaney:3 fair:1 phenomenologically:1 sensitivity:5 testing:1 observed:6 depends:1 radius:1 result:16 discussions:1 optimum:1 best:3 c2s:11 tensor:1 µu:6 µq:39 µs:1 symmetric:1 pressures:2 µi:2 µd:5 µa:6 µb:59 venugopalan:1 terms:5 nature:1 weak:6 however:13 extent:1 suggested:2 essentially:3 against:2 verbaarschot:1 exceeds:3 contribution:1 disappears:1 presumably:1 blaizot:1 rossendorf:1 2nc:1 2nf:1 2nd:1 applicability:1 2nq:1 decoupling:2 three:5 been:6 quickly:1 extraction:1 much:7 interest:2 miraculously:1 expected:7 flexible:1 correction:1 website:2 quantities:5 longitudinally:1 jeon:1 curves:7 spin:1 applied:3 aip:2 employ:6 near:25 anchor:1 procedure:9 3nf:1 szabo:5 phenomenological:3 iv:2 ii:4 conf:2 perform:2 ejiri:3 make:1 complex:1 several:3 fairly:5 numerical:1 refit:1 hand:4 hydrodynamics:7 potentials:1 weakly:2 rescatterings:1 academic:1 contact:1 quantitative:3 left:6 stringent:1 just:2 yet:2 previous:3 enters:1 weise:2 plasma:6 rafelski:1 opt:2 insensitive:1 breaks:1 possible:2 magestro:1 unique:2 stephanov:2 specific:7 confront:1 deconfined:1 www:1 right:5 truncated:7 flatter:6 successfully:3 dense:1 bottom:17 kaczmarek:2 quarks:13 yields:1 columbus:1 stefan:4 shifting:1 χq:1 properties:3 takes:1 thermalized:2 o:7 slightly:3 automatically:1 eventby:1 statements:1 facility:1 maxwell:4 down:7 bielefeld:1 reducing:1 parametrizations:5 initial:26 approximate:1 width:1 accordingly:1 conservation:2 way:3 was:4 medium:4 form:10 differences:15 heat:5 true:2 butterworth:1 builds:1 versions:3 dordrecht:1 complications:1 benchmarks:1 panels:6 guesses:1 conserves:1 ln:1 kaneta:1 covers:1 evidence:2 conserved:5 simulations:19 distributions:2 archive:1 triangles:6 regime:1 dotted:7 no:8 whereas:2 nc:3 when:10 handed:2 interested:1 role:1 test:6 nq:4 picture:3 models:4 preceding:1 pisarski:1 cooper:1 longer:2 pion:3 assume:5 interval:2 pseudo:1 theor:1 together:7 plasmon:1 resonances:2 n0:1 observables:1 osada:1 slope:3 varying:6 people:1 focus:3 leads:2 row:2 depend:3 essentials:1 zone:1 quasi:5 monotonically:1 elliptic:15 analogous:1 advantage:1 choice:3 bjorken:1 embark:1 stays:1 join:3 exact:4 impressive:1 presented:4 did:1 turns:1 anisotropy:6 solved:1 fourier:3 upper:11 heinz:11 htl:2 substitute:1 spectral:2 g22:2 debate:1 current:2 goes:1 lifshitz:1 asakawa:1 prescriptions:1 perpendicular:1 groups:1 alone:1 along:7 appears:1 change:1 shift:2 studied:1 accomplished:1 simultaneous:2 usually:2 resonance:35 studies:4 plotted:2 extra:1 gluon:10 flavors:16 working:1 sake:1 only:20 introducing:1 partons:1 validity:1 cases:2 effort:1 logarithm:1 parameterize:1 modified:1 ms0:2 glauber:2 labeled:1 values:14 following:5 modifies:1 arrive:2 ma0:5 figure:8 predict:1 expanding:4 sps:4 performed:4 unphysical:4 occur:1 s2:3 discussion:3 s0:6 s4:1 chemical:23 criterion:1 pure:3 parameter:7 staying:1 may:3 overall:2 applications:1 produce:1 data:80 times:1 stress:1 branches:1 dynamical:15 sq:1 explicit:2 yielding:1 so:7 sn:4 representation:1 sa:3 fireball:8 sg:1 skokov:2 typical:2 constituents:1 pointed:2 mainly:1 years:3 stability:1 experiments:2 statistical:1 differs:1 still:4 thank:1 voloshin:1 vicinity:4 decreases:1 forms:2 constitutes:1 main:1 non:23 thereby:1 sorted:1 now:7 matched:1 susceptibility:4 term:2 january:1 realistic:10 huovinen:6 instability:1 entirely:2 em:18 domain:1 en:3 significantly:8 ef:1 ec:3 eq:8 adequately:1 shown:23 bly:1 space:3 furthermore:1 squared:5 increase:5 collisions:31 extrapolate:1 investigation:1 squares:15 shows:18 after:4 theory:8 divergence:1 possibility:1 quite:2 besides:1 e4:1 manninen:1 e1:9 e0:6 e2:2 transition:39 motion:2 turn:1 jiµ:2 neglect:1 colliders:1 first:10 quasiparticle:21 xa:1 xg:1 computing:2 fast:1 directly:10 xq:1 open:2 horizontal:3 size:2 wilczek:1 given:13 necessarily:1 antiparticles:2 isentropes:3 theoretische:1 indicate:2 structures:6 speaking:1 gives:2 exploring:1 gyulassy:2 mostly:2 asymmetric:1 continuous:1 accurately:1 artifact:1 transverse:12 than:15 coefficients:13 ivanov:1 hepph:1 unfortunately:1 require:3 fm3:43 hagedorn:1 future:3 were:20 interpolations:1 dynamically:2 crossover:3 dash:4 recover:1 any:2 efficient:2 aside:1 note:10 ideal:20 potential:15 take:1 online:18 algorithms:1 coincide:1 begin:2 investigations:1 decreasing:1 baryons:2 especially:2 considered:5 adopt:1 conservatively:1 laws:1 precise:1 show:20 elat:3 inconsistent:2 decompositions:1 specifically:4 state:43 quasiparticles:4 explicitly:1 black:2 equipped:1 helmholtz:1 gev:82 between:21 straightforwardly:1 cannot:1 geometric:1 yield:5 summary:2 physically:1 relative:2 reproduced:5 review:1 label:1 enough:1 αe:1 diamonds:2 affecting:1 justified:3 across:1 multiplied:1 3cn:1 august:1 concentrate:2 implemented:1 fluctuations:3 analyzed:2 suppressed:1 jb:3 reaction:2 discernible:1 region:33 according:3 contract:1 dated:1 duced:1 expression:3 fix:2 among:5 color:19 pos:1 sampling:1 exploit:2 associated:1 fruitful:1 considering:5 cares:1 locally:1 damping:1 featuring:1 direction:3 relations:3 formed:1 reaching:2 irrelevant:1 those:5 case:10 developing:1 profiles:2 investigating:2 hdl:2 characteristics:2 metric:1 hama:2 redlich:6 comoving:1 middle:3 bias:2 different:26 develop:1 same:14 selfconsistent:2 physical:17 investigated:1 allton:2 singapore:5 mq0:3 running:5 dashen:1 fodor:6 changing:1 modes:3 largely:1 charges:1 roughly:1 deconfinement:3 without:3 relied:1 coordinate:2 model:53 nb:61 charged:1 azimuthally:1 being:1 generally:2 rest:1 peshier:5 nf:53 speed:15 captured:1 seems:1 except:1 hyperons:3 setting:2 treatment:1 momentum:19 real:1 around:5 read:3 harmonic:1 early:3 romatschke:2 grid:1 preference:1 vacuum:1 using:14 mod:1 adams:1 particle:3 collective:5 maintained:1 serves:2 either:2 integrals:1 laermann:7 kolb:8 suppl:4 specified:1 matching:8 nonzero:1 confirm:1 stages:4 critical:6 provides:3 propagating:1 refer:2 dresden:5 scientific:5 power:3 ratios:1 hadron:49 comparison:11 central:6 munzinger:1 package:3 discussed:3 develops:1 mixed:4 vi:1 cambridge:4 communication:3 numerically:1 references:3 determine:1 elementary:1 accumulated:1 hep:9 log:4 assumed:5 strictly:1 there:1 dispersion:2 start:1 low:6 viscous:4 assumes:4 combined:1 aoki:3 aguiar:1 complete:4 mclerran:1 dissipative:2 multiplicity:3 robustness:3 quantitatively:1 dφ:2 ωa:5 agree:2 connect:1 strongly:5 taylor:9 ad:1 certain:3 frye:1 describe:3 cbm:1 examine:2 au:14 governed:1 controlled:5 gradients:4 moves:1 again:9 stationarity:2 deserve:1 wheaton:4 field:3 valid:3 parameterizations:1 massless:4 separate:3 time:5 hwa:4 important:1 peak:2 soff:4 perturbatively:1 requires:4 curve:2 mass:12 starting:1 original:1 represent:2 sci:1 consider:3 gupta:3 caused:1 lack:1 generalize:1 c2:27 follow:3 expressions:8 gorenstein:1 tu:1 ts:8 program:2 th:7 te:1 tc:127 sound:16 straightforward:1 very:5 reader:1 fat:1 difference:5 condition:1 t4:1 t2:4 t3:2 t0:2 large:17 adjust:2 small:23 employing:5 zero:14 further:2 mπ:1 section:8 version:4 method:2 contrast:1 edited:6 full:6 behaviour:2 ansatz:2 irrespective:2 strong:9 equations:25 inspired:2 allows:2 amount:1 stiffness:2 narrow:1 tsuda:1 via:3 followed:3 family:12 extrapolations:4 analyzing:2 viz:1 establish:1 toneev:2 proceed:1 charge:4 comparing:3 nucl:24 qcd:86 taken:2 minor:1 more:10 flat:2 emission:1 controlling:1 surface:1 particular:6 known:4 keeping:5 science:1 equation:23 peikert:3 protons:1 remain:2 levai:1 strategies:1 compare:8 neglected:2 ann:1 tabular:1 collision:3 minimum:1 numbers:3 sense:1 sharp:1 lacks:1 species:7 axis:2 needs:1 goal:1 rather:1 utilize:1 maps:1 tawfik:1 fq:2 reflect:1 fa:5 plane:4 fe:1 rebhan:2 evaluations:1 fm:34 short:4 lhc:13 interpolated:2 negligibly:1 spectra:16 parameterized:1 extrapolation:16 negligible:4 remnants:1 developed:2 cross:1 thermal:7 paper:6 through:10 kinetic:1 excitations:1 its:22 rapidly:1 energies:11 actually:1 late:3 absence:1 microscopic:3 systems:1 lacey:2 good:4 framework:2 yu:1 2t:1 kharzeev:2 fully:2 level:1 forschungszentrum:1 schulze:3 radial:5 found:6 universit:2 heavy:18 reactions:1 lat2005:1 mental:1 weight:1 hadronic:6 energy:53 hard:2 reduce:1 isospin:4 obtains:2 quantum:1 columbia:1 operation:1 beyond:1 event:3 nuovo:1 since:17 denotes:2 acting:1 dominated:1 induced:2 evaluation:2 occurs:1 favored:1 guess:1 reason:1 kodama:2 members:3 ask:1 rises:2 caption:1 technische:1 exponentially:1 consequence:3 hadrons:6 exhibited:1 nc2:1 number:14 done:1 least:1 stage:3 equating:1 differ:3 perturbation:5 temperature:24 introduction:1 leading:2 construct:4 assumption:2 aa1:4 calculations:9 scheme:1 baryon:35 dasheddotted:1 part:5 authors:1 spacings:2 unrealistic:1 determined:4 qpm:139 paths:3 self:7 extracted:3 empirically:1 build:3 k4:1 extrapolating:1 play:1 towards:1 electric:2 most:7 significant:6 measured:4 deviations:7 clear:1 3s:1 exp:1 velocity:3 physics:3 naively:1 sector:1 particularly:2 isentropic:16 halasz:1 multiplicities:1 relation:7 impressively:1 uniform:1 fine:3 find:7 impact:8 parameters:34 subsection:8 factor:11 bernstein:1 ultrarelativistic:1 oeschler:1 dominant:2 dependent:3 pions:1 actions:4 lattices:1 exhibiting:1 transversal:2 continuum:20 karsch:12 arxiv:6 socolowski:1 investigate:1 li:1 common:1 krasnitz:1 set:12 toth:1 achieved:1 unpublished:1 see:19 bare:5 close:2 ampfer:8 various:4 experi:1 conditions:14 available:11 attention:1 vanishing:6 invisible:1 relying:1 both:15 improved:1 sensitive:2 improves:1 whole:1 finds:1 experimental:1 regulates:1 point:10 simple:2 asymptotically:1 corresponds:2 parametrization:14 dimensional:2 simply:3 pavlenko:1 described:6 pt:25 lattice:125 due:7 pb:8 faithfully:1 pa:2 pf:1 pg:1 azimuthal:6 anisotropic:1 ph:9 extreme:3 lett:21 gas:48 gap:1 systematic:5 receive:1 p0:2 uncertain:1 pacs:1 solid:21 straight:1 evaluated:3 technical:1 while:9 replaced:1 evaluating:1 error:2 loop:8 vol:2 reads:1 tchem:2 psb:2 emphasize:2 widely:1 modification:1 higher:5 development:1 calculation:2 used:17 strength:1 uses:2 koch:1 robust:3 recent:3 lower:7 task:1 obviously:1 consistency:4 gsi:1 equilibrated:3 shape:2 world:5 letting:1 kluwer:1 conclusions:1 scales:1 location:1 input:2 remaining:3 march:1 big:1 advocate:1 matters:2 rhic:28 incompletely:1 success:1 shaped:1 follows:5 manifest:1 separately:2 indication:1 reduces:1 often:1 some:4 back:1 understood:1 economic:1 δp:1 anisotropies:1 pronounced:5 scale:10 describing:5 affects:1 integration:3 prog:3 proc:4 minimal:1 dnch:1 agreement:5 relating:1 constraint:1 tracing:1 optimized:3 simulation:1 range:6 cutoff:2 conserving:1 into:8 within:11 integral:2 predictions:2 neutrality:1 appropriate:5 parton:1 uncertainties:2 institut:1 extremely:1 long:5 bosons:1 translate:3 files:1 adjusting:2 properly:1 link:1 line:24 uu:1 fries:1 up:11 cim:1 ur:1 endrodi:1 exploration:2 ud:1 similar:10 called:1 entropies:2 constant:15 influence:1 single:3 formalism:1 heinemann:1 codes:1 uµ:1 dashed:22 application:1 yang:1 department:2 hydrodynamical:4 deviate:1 generates:2 polynomials:1 generated:3 allowing:1 structure:6 feasible:1 independently:2 implies:3 thermalization:5 required:2 crease:1 equivalently:1 heats:1 presenting:1 ags:2 having:1 once:1 katz:5 code:4 partial:4 results:54 existing:4 edu:2 contributions:2 concerned:1 plasmons:2 helps:1 stable:1 include:2 indicating:1 g2:17 implicitly:1 lqcd:2 continued:1 entire:1 notes:1 shuryak:3 interpolating:1 dcn:1 smaller:8 dynamics:4 ues:1 giving:1 3p:2 expressed:1 3t:5 cell:2 expresses:1 χab:1 publications:1 completion:1 degree:2 respectively:11 spacing:1 explore:5 deduced:5 remark:1 cern:2 involved:1 larger:15 leaving:2 suggests:1 resulting:11 shrock:1 forcrand:1 named:1 becattini:1 heart:1 private:3 scaled:7 decrease:1 use:11 asymptotic:1 usa:1 remains:3 next:4 few:2 depicted:3 themselves:1 panel:45 hydro:1 becomes:2 labelled:1 philipsen:1 iii:4 account:5 cleymans:2 oh:1 reproduce:5 obvious:1 thin:1 drops:1 grassi:1 process:1 rapp:3 purposes:1 high:8 holds:2 regions:2 varies:2 instead:3 nara:2 philosophy:1 physik:1 fits:9 advocated:2 light:4 lines:15 correspond:4 counted:1 evolutionary:1 produces:4 top:23 equally:1 interpreted:1 symbols:4 including:1 during:1 write:1 ld:1 le:1 longitudinal:1 decay:2 chosen:1 masses:25 qgp:8 lect:1 bridged:2 covered:1 eur:1 practice:1 landau:2 dat:1 hands:3 february:1 braun:1 university:3 traced:1 established:1 sufficiently:2 magnitude:1 constraints:1 doing:2 related:1 interplay:1 measure:2 relates:2 special:1 out:17 frontier:1 res:4 rev:42 rischke:1 ref:17 m2a:2 red:5 ruuskanen:2 interactions:4 completely:3 anyhow:1 presently:1 hubble:1 interaction:3 kapusta:2 determining:1 linearized:1 explored:6 multiplication:1 quality:5 πa:4 πg:1 unknown:1 system:2 adopted:1 πs:1 πq:1 fermions:1 final:7 shell:3 exactly:1 rajagopal:1 july:1 remember:1 claim:1 sec:5 providing:1 exhibit:3 unchanged:2 m2a0:1 constrained:2 border:1 clearly:2 acceleration:1 angle:1 min:4 studying:2 instance:2 collaboration:3 who:1 propagate:1 parametrize:2 consequences:4 stronger:2 χb:7 mechanical:1 text:3 supported:1 mg0:1 artificial:1 agrees:2 based:4 hydrodynamically:1 controls:2 should:3 bernard:1 ambiguity:1 indeed:1 employed:6 local:6 equilibrium:7 means:1 quantified:1 beam:2 ones:1 collisional:1 evolution:7 dpt:4 densities:23 approach:15 differential:3 expansions:7 tuned:1 optimally:2 hydrodynamic:20 contain:1 ohio:2 fixed:16 hadronization:1 multiplying:4 variations:9 frame:2 freeze:9 edition:1 interacting:10 pattern:4 favor:1 written:1 correctly:2 progress:1 ability:3 emitted:7 interpolate:3 efficiency:1 reproduces:3 hypothesis:1 distribution:4 la:1 equal:1 etc:1 safely:1 adjusted:5 relevant:5 cn:11 conclude:1 cf:4 cs:3 respect:1 cp:3 addition:1 trajectory:3 cauchy:1 slowly:1 closed:1 arises:1 corresponding:20 sufficient:1 cos:2 bulk:2 last:1 c0:21 c6:5 present:3 c4:9 multi:1 appearance:1 value:16 will:8 almost:4 underpredict:1 refs:6 thus:7 surprisingly:1 4c0:1 examined:1 lifetime:1 gluonic:1 indistinguishable:1 strange:5 finite:11 http:2 upon:2 diploma:1 phd:1 parametrized:3 ion:16 v2:11 infinite:1 off:1 center:1 variety:1 well:11 patterns:2 sets:3 arising:2 usual:2 lauret:1 softening:2 less:1 accurate:2 obtain:2 underlying:1 uller:1 momenta:2 macroscopic:1 rapid:6 density:55 chpt:1 thermodynamics:1 nato:1 match:5 11nc:1 identical:1 tc4:2 increases:1 bluhm:6 press:3 immediately:1 letessier:1 necessary:1 like:2 lost:1 exploiting:1 qualitative:2 susceptibilities:4 accelerating:2 become:4 soft:7 therein:2 functional:1 smoothly:5 est:1 lead:1 broad:1 2c6:1 overlap:1 does:9 assuming:4 demonstrated:1 limitations:1 slight:2 expansion:27 pressure:30 although:6 pv:1 analyses:1 simpler:1 about:17 extension:1 bmbf:1 dependence:15 upward:1 kaons:1 converging:1 individually:1 discretization:1 strangeness:4 previously:1 zooms:1 assess:2 val:1 transfer:1 restricts:1 describes:2 terminates:1 function:15 but:18 construction:3 goals:1 fg02:1 truncation:3 made:1 compute:1 whether:4 cells:1 smooth:2 below:24 converted:1 limit:2 problem:1 mechanics:1 int:1 denote:2 our:34 heiselberg:1 ing:1 functions:6 compared:9 nonetheless:1 detail:1 bellac:1 other:9 compares:1 details:10 branch:1 midrapidity:2 conclusion:1 star:4 radially:1 variation:3 oring:1 jackson:1 softest:4 coupling:10 4t:1 factors:1 eos:118 8tc:1 stachel:1 |
0705.0398.txt |@word extrapolated:1 magnetic:1 four:5 parameterization:5 grenier:1 4ns:1 paris:2 sinev:1 under:3 meadows:1 lepeltier:1 eugenics:1 chauveau:1 summarized:1 waldi:1 campagnari:1 sangro:1 coventry:1 schune:1 vector:8 enhance:2 9pl:1 bevan:1 consistent:5 ringuet:1 flaecher:1 chen:11 cenci:1 errors:6 piemontese:1 wenzel:1 cheng:3 new:7 consisting:1 wormser:1 mec:1 whose:2 here:1 beck:1 mev:6 china:1 mes:7 blinov:1 obtained:2 daughter:1 study:6 albrecht:1 kocian:1 cecchi:1 7ze:1 projection:2 rosenberg:1 ippp:1 blaylock:1 morganti:2 barlow:2 amherst:1 total:1 schilling:1 negative:3 robertson:2 fractions:8 robutti:1 schroeder:1 carpinelli:1 connecticut:1 marchiori:1 excellent:1 mc:3 lankford:1 ere:1 root:1 ofte:1 wang:1 relativistic:1 nfr:1 indicates:1 walsh:1 yang:4 lodovico:1 ocker:1 machine:1 louisville:2 significance:3 strom:1 lae:1 dell:1 diagram:1 ova:1 lau:1 allison:1 buzzo:1 davier:1 correlation:1 ferrarotto:1 order:1 eigen:1 over:2 vary:2 holyoke:1 london:5 hutchcroft:1 uwer:1 fit:5 majewski:1 production:2 harmonics:1 eugene:1 aston:2 iowa:5 band:1 effects:1 honscheid:1 vidal:1 e791:1 pacetti:1 negrini:1 each:6 bona:1 briand:1 laboratori:1 yarritu:1 yvette:1 laboratory:4 extract:1 jawahery:1 george:1 particles:1 re:1 dsm:1 erateur:1 forti:1 foundation:1 linear:1 jessop:1 veto:1 free:1 standard:3 frey:1 estimate:1 muller:1 aj0:2 silicon:1 rahimi:1 onto:2 gradl:1 dorfan:1 vieux:1 channels:2 grady:1 kroseberg:1 genova:2 xie:1 dipartimento:12 garra:1 egham:1 bechtle:1 anulli:1 tool:1 serve:1 frascati:2 2az:1 ahmed:1 salvati:1 saeed:1 rizzo:1 rate:3 vaissi:1 bs8:1 ganzhur:1 kirkby:1 mishra:1 seen:1 unaffected:1 ulmer:1 dapnia:1 livermore:2 estimated:2 gagliardi:1 predominantly:1 fitting:1 hearty:1 verderi:1 klose:1 paris6:1 victoria:2 optimized:1 involving:1 germany:7 phase:4 transverse:3 7al:1 calculated:2 flow:1 doe:1 curie:2 accounted:1 paoloni:1 queen:1 bartoldus:1 d3:1 d0:7 proposed:2 hirschauer:1 haven:1 pegna:1 integrate:1 diberder:1 olivas:1 ox11:1 orazio:1 do:4 above:7 di:27 dd:1 de:14 db:1 watson:1 reconstruct:1 ds:1 hryn:1 colangelo:1 schofield:1 v8w:1 observed:2 projections:2 karyotakis:1 tensor:3 franek:1 aitala:1 babar:11 solenoid:1 eschrich:1 terms:1 amplitude:9 extend:3 weak:2 however:3 wu:2 harvard:1 huang:1 received:1 cos:2 brau:1 uncertainty:3 kroeger:1 nikhef:1 edgar:1 calabrese:1 und:1 ernst:1 contribution:6 dallapiccola:1 sullivan:1 scientifique:1 polynomial:1 union:1 three:3 been:1 expected:3 fry:1 θi:2 longitudinally:1 irvine:2 spin:8 θt:2 bondioli:1 kentucky:1 heidelberg:2 della:2 mader:1 losecco:1 ii:3 hong:1 belle:2 stelzer:1 any:4 complex:1 potentially:1 european:1 laboratoire:4 kim:2 giorgi:1 pulliam:1 paris7:1 roma:2 sciacca:1 dh2:1 dh1:2 left:1 stringent:1 cartaro:1 quoted:3 3p6:1 birmingham:2 cˆot:1 yamamoto:1 previous:2 altenburg:1 candidate:7 instr:1 royal:1 wright:2 gritsan:2 rahmat:1 3ph:1 background:15 biesiada:1 kadyk:1 g33:2 diderot:1 private:1 polytechnique:1 predominance:1 contributing:1 track:2 tracker:1 schwierz:1 fom:1 columbus:1 olsen:1 meyer:2 stoker:1 lacker:1 o:6 plus:2 curry:1 presence:1 amsterdam:1 orsay:2 support:3 initial:1 gif:1 anderson:1 fraction:6 was:1 lowest:1 back:1 cedex:1 indiana:1 abachi:1 fort:1 antonyan:1 mandelkern:1 maximum:1 devices:1 kreisel:1 simard:1 originating:1 roney:1 moore:1 computing:1 nicholson:1 zeng:1 evidence:2 teodorescu:1 tosi:1 hollar:1 perez:1 distributions:5 hatanaka:1 physical:1 nj:2 nl:1 lees:1 dotted:1 wacker:1 whereas:1 when:3 palombo:1 pasadena:1 test:1 philosophenweg:1 models:1 variable:1 sharma:1 hawkes:1 assume:2 torrence:1 kerth:1 together:1 groysman:1 cincinnati:2 grateful:1 kowalewski:1 layers:1 feltresi:1 baldini:1 charge:1 marks:1 appleton:1 brown:2 supported:1 departament:1 zhang:3 perazzo:1 lynch:2 particules:2 nagel:1 bukin:1 yale:1 hospitality:1 upper:4 work:1 vitale:1 prairie:2 0qx:1 physikalisches:1 patrignani:1 uniform:1 annals:1 serednyakov:1 palmer:1 angelini:1 lange:1 chilton:1 address:1 haire:1 change:1 institute:6 petersen:1 studied:1 resonance:3 plotted:1 durham:2 fake:3 mckenna:1 fl1:1 positive:1 fl3:1 perl:1 mazzoni:1 criteria:1 jacobsen:1 baek:1 bellini:1 claus:1 oregon:2 schwiening:1 parabolic:1 effort:1 organizations:1 cay:1 eschenburg:1 rutherford:1 zhao:1 flj:3 values:2 deceased:1 dedicated:1 anomalous:1 arise:1 monge:1 sample:2 allowed:4 fritsch:1 chia:1 occur:1 kobel:1 requirements:1 range:7 rubin:1 vancouver:1 coleman:1 dominance:1 edinburgh:2 product:1 messner:1 may:3 dahmes:1 revealed:1 voci:1 nsig:2 beam:1 sw:1 su:1 jain:1 mattison:1 sokoloff:1 exclusive:3 orimoto:1 salnikov:1 statistical:1 derive:1 group:1 soffer:1 hitlin:1 window:1 wappler:1 norway:2 texas:5 johns:1 steinke:1 ritchie:1 now:1 zain:1 berryhill:1 dunwoodie:2 arrows:1 kern:1 wong:1 el:1 square:1 ei:2 significantly:1 gaussian:2 eb:2 ex:1 eq:1 es:1 er:1 canada:5 shown:5 jackson:2 space:4 interference:2 nominal:1 shows:3 datta:1 palano:1 million:2 mechanisms:2 fisica:12 quark:4 california:19 superiore:1 institut:5 e1:1 arnaud:1 transition:1 hamel:1 british:3 place:4 sanchez:1 xi:3 variables:6 simplified:1 sciolla:1 ring:1 angular:4 city:1 given:2 width:1 indicate:1 national:3 williams:1 gives:1 petzold:1 alam:1 electroweak:1 than:2 require:2 potenza:1 bauer:2 russia:2 faccini:1 san:1 piccolo:1 dasu:1 allen:1 slac:2 winstrom:1 ideal:1 take:1 covarelli:1 cnrs:5 opposite:1 gaidot:1 poireau:1 ford:1 considered:1 saremi:1 corwin:1 cavoto:1 feynman:1 ferrara:2 madison:1 show:2 ωd0:1 flack:1 sobie:1 ratio:1 dujmic:1 only:4 admixture:1 padova:2 carolina:2 legendre:1 gev:22 merkel:1 cannot:1 nearly:1 aλ:1 yield:5 summary:1 strube:1 godang:1 physically:2 ricca:1 relative:1 college:4 review:2 knoxville:1 thiebaux:1 between:10 multiplied:1 macfarlane:1 csic:1 lopes:1 suppressed:1 lopez:2 originates:1 rahatlou:1 region:3 dated:1 among:2 izen:1 moreover:1 combines:1 ei2:1 collider:1 west:1 oder:1 combined:1 cunha:1 anomalously:1 mary:1 fig:8 direction:2 those:2 mount:1 dubitzky:1 leprince:1 eif:1 prencipe:1 equal:1 hertzbach:1 technology:2 different:3 same:1 events:19 pan:2 extended:4 behera:1 ye:1 lutz:1 luth:1 tracking:2 modes:3 pennsylvania:2 no:2 macri:1 eisner:1 components:1 model:9 charged:2 pompili:1 they:1 rest:3 harrison:1 flavor:2 flood:1 dingfelder:1 except:2 ricciardi:1 lett:11 samples:1 momentum:3 kingdom:13 around:1 amo:1 experimentalphysik:1 netherlands:2 wisniewski:1 bonneaud:1 using:1 mod:2 particle:5 chamber:1 dilution:1 bettarini:1 wittgen:1 kolb:1 table:3 nonzero:2 provided:2 recorded:2 mesons:3 provides:1 porter:1 refer:1 dresden:2 prell:1 biases:1 refers:1 playfer:1 acc:1 hopkins:2 discussed:2 taras:1 berger:1 cambridge:2 grosdidier:1 morii:1 jasper:1 determine:1 gary:1 bergen:2 calderini:1 spaan:1 there:1 philadelphia:1 los:2 tackmann:1 valencia:3 olaiya:1 regard:1 castelli:1 stanford:4 eh9:1 dφ:1 taylor:1 certain:1 describe:1 moved:1 neri:1 snoek:1 middlesex:1 event:12 field:2 karlsruhe:2 polar:1 gaspero:1 drift:1 includes:1 a0:2 peak:1 included:2 prudent:1 brandt:1 shafer:1 l69:1 barcelona:2 mass:24 krishnamurthy:1 resolution:1 narsky:1 monte:1 ali:1 glanzman:1 scalar:3 leith:1 montr:3 causes:1 ihep:1 mazur:1 pb2:1 alvarez:1 kπ:28 amplitudes:3 sloan:1 breit:1 large:5 mishima:1 sapienza:1 zero:3 knecht:1 ter:1 sud:1 sun:1 sum:3 sur:1 component:3 ranges:2 tracks:1 pub:2 berkeley:2 hast:1 combinatorial:5 strong:2 search:5 schott:1 mallik:1 pdfs:3 select:1 khan:1 contains:1 boutigny:1 nucl:4 qcd:1 more:1 hauke:1 particular:1 rodier:1 maryland:3 ronan:1 kaminski:1 science:1 des:2 del:3 f0:8 neglected:1 states:8 numbers:2 mohanty:1 sharp:1 axis:4 respective:1 g1:1 reject:1 heusch:1 notre:2 prepost:1 gabathuler:1 bloom:1 marsiske:1 departure:1 parameterized:2 extrapolation:1 negligible:1 agostinelli:1 bugg:1 held:1 nauenberg:1 paper:2 y1:1 its:3 fulsom:1 energies:1 saleem:1 baak:1 systems:1 yi:2 motivated:2 cea:2 tisserand:1 yu:4 finite:1 fully:1 found:1 universit:24 panduro:1 reactions:1 aubert:6 accelerator:1 guo:1 energy:4 batignani:1 measurement:1 quantum:1 beyond:3 ific:1 mist:1 since:2 buono:1 dominated:1 jolla:1 denoted:1 onuchin:1 wisconsin:2 lawrence:2 margoni:1 imaging:1 definition:1 pairs:2 barbara:2 zghiche:1 technische:1 roodman:1 grossman:1 probability:2 schubert:2 number:3 antiquark:2 dong:1 wilden:1 blanc:1 zallo:1 construct:1 calculations:1 contri:1 dfg:1 park:2 part:1 center:3 kind:1 polarized:1 double:1 annihilation:1 determined:1 lewandowski:1 benelli:1 druzhinin:1 mancinelli:1 substantial:2 conjugate:1 uxbridge:1 2t8:1 wilson:4 lin:1 k3:7 liu:2 empirically:1 k0:1 pparc:1 k4:7 finding:1 3le:1 albert:1 2tt:1 significant:4 measured:1 bettoni:1 branching:10 kk:1 cover:1 physics:9 institutions:1 cremaldi:1 surrey:1 find:4 ferroni:1 parameters:6 ebert:1 perugia:4 factor:1 solodov:1 kramer:1 boulder:1 cowan:2 dominant:2 santoro:1 peruzzi:1 closely:1 combinations:2 continuum:1 princeton:2 remove:1 weaver:1 faessler:1 mkπ:12 see:1 individual:1 bard:1 bari:2 vasseur:1 fisiche:1 fang:1 grauges:1 pisa:2 smallest:1 various:1 conditions:1 budker:1 distinguish:2 both:5 lass:3 last:1 nserc:1 sensitive:2 pdf:11 baltimore:1 corresponds:1 tennessee:2 stocchi:1 throughout:1 discriminant:1 acceptance:3 due:7 pb:3 azimuthal:2 pj:3 ph:3 pi:3 thompson:1 sanders:1 gaz:1 gao:1 gan:1 systematic:5 pacs:1 solid:2 empirical:1 luitz:1 while:2 bochum:2 sw7:1 h3c:1 h3a:1 albany:1 italy:15 relatively:1 higher:4 used:3 rescattering:1 zito:1 koch:1 recent:3 normale:1 lower:3 cuhadar:1 schindler:1 sacco:1 analysis:4 bedford:1 salvatore:1 vazquez:1 buchanan:1 v6t:1 shape:3 patel:1 simi:1 nardo:1 extracted:1 parents:1 remaining:3 marco:1 march:1 kass:1 helicity:3 0ex:1 bozzi:1 follows:1 signal:19 ignore:1 communications:1 individuals:1 yields:4 methods:1 pierre:1 transversely:1 pronounced:1 describing:1 luppi:1 resonances:4 measurements:4 pep:2 efficiencies:1 oyanguren:1 savoie:1 bb:2 kelsey:1 aj:2 agreement:1 cochran:1 bosisio:1 basilicata:1 santa:4 skovpen:1 kozanecki:1 eaire:2 simulation:3 burchat:1 ruhr:1 igonkina:1 colorado:4 pierini:1 into:1 within:4 nsf:1 martinez:1 dame:2 dauncey:1 frames:1 france:6 uncertainties:2 marie:2 facultat:1 mkk:5 tw20:1 long:2 kagan:2 dips:1 line:3 penguin:2 infn:13 hamano:1 up:1 ur:4 ul:3 planes:1 rostock:2 associated:1 defined:2 chai:1 simonetto:1 abrams:1 foulkes:1 graham:1 dashed:4 edwards:1 golubev:1 b15:1 annecy:1 department:2 franchini:1 sided:1 generated:1 validity:1 suppression:2 fisher:3 passaggio:1 didcot:1 saclay:1 implied:1 walker:1 nash:1 results:7 kernphysik:1 misreconstructed:1 lafferty:1 felsmann:1 contributions:3 excludes:1 young:1 excluded:1 cahn:1 include:1 random:1 g2:1 azzolini:1 eckmann:1 lockman:1 resonant:2 categories:3 lombardo:1 button:1 hamon:1 vetere:1 ferroli:1 dynamics:3 carlo:1 expressed:2 experiment:1 donszelmann:1 collins:1 brunel:1 respectively:1 bhuyan:1 latour:1 brunet:1 imperfections:1 scienze:1 larger:1 convery:1 suggests:1 products:1 geng:2 schwitters:1 φkj:1 clark:1 collaborating:1 volk:1 meson:9 use:7 schumm:1 usa:38 few:1 oxon:1 ecole:1 becomes:1 payne:1 gamba:1 1tl:1 φk3:5 reconstructed:1 account:4 ρk:1 averaged:2 calculation:1 high:1 gowdy:1 assumptions:1 summers:1 united:13 decaying:1 torino:2 hadley:1 trieste:2 gallo:1 finocchiaro:1 physik:1 paar:1 hufnagel:1 serrano:1 gladney:1 kukartsev:1 mcgill:1 cherenkov:1 wigner:1 swain:1 including:2 mentioned:1 gioi:1 le:2 longitudinal:2 decay:28 ln:1 lo:1 masses:1 piredda:1 li:6 previously:1 lu:2 schenk:1 federico:1 das:1 voena:1 reconstruction:3 ebec:2 university:47 morris:1 mode:4 toki:1 arxiv:1 decays:15 our:11 meth:1 morandin:1 category:1 mcmahon:1 rev:26 ref:3 ecm:1 completely:1 york:2 thrust:3 hep:3 likelihood:6 forster:1 interaction:1 napoli:2 a479:1 ocariz:1 david:1 instrum:1 davis:1 austin:2 south:3 eche:1 ziegler:1 biasini:1 kovalskyi:1 seiden:1 smaller:1 data:5 system:2 their:2 aleksan:1 final:7 lou:1 lista:1 ratcliff:1 colleagues:1 ben:1 roberts:1 nonresonant:11 santroni:1 richman:1 constrained:1 angle:6 dallas:1 telnov:1 physique:3 mechanism:1 polarization:12 detector:3 mir:1 allow:1 centre:1 collaboration:11 nogowski:1 eight:1 calcaterra:1 teilchenphysik:1 milano:2 touramanis:1 kutter:1 constrain:1 selection:3 violation:1 text:1 charles:1 manchester:2 based:1 scuola:1 bernard:1 candidates:2 joint:1 andreotti:1 holloway:1 qu:2 luminosity:1 differential:1 sperimentale:1 regensburger:1 ohio:3 fixed:1 view:2 requirement:3 frame:2 3jz:1 piatenko:1 nuclear:3 patteri:1 state:8 identification:2 invariant:12 efficiency:5 vra:1 ames:1 thank:1 limits:6 la:3 3j7:1 bristol:2 rama:1 jersey:1 denig:1 ch:3 m13:1 denis:1 lusiani:1 universitat:2 respect:1 cp:2 kinematic:1 addition:1 dortmund:2 cv4:1 elmer:1 yao:1 bianchi:1 warwick:1 anomaly:3 fabozzi:1 liverpool:2 corresponding:2 spanier:1 angles:4 spain:3 value:1 va:1 layer:1 almost:1 1z1:1 argus:1 blount:1 palaiseau:1 gamet:1 φd:5 φk:12 lazzaro:1 columbia:4 roudeau:1 schr:1 adye:1 leruste:1 well:1 spherical:1 moments:1 wren:1 wagner:2 lanceri:1 momenta:1 sekula:1 stugu:1 density:1 smith:3 riverside:2 raven:1 cruz:2 five:1 tico:1 loss:1 schalk:1 crawley:1 martin:1 purohit:1 battaglia:1 because:1 shen:1 rotondo:1 haim:1 monchenault:1 kolomensky:1 broad:4 in2p3:5 assuming:1 stroili:1 latham:1 vertex:2 about:2 rare:1 experimentelle:1 bmbf:1 dependence:1 angeles:2 muheim:1 massachusetts:6 h2:6 dubois:1 h1:6 novosibirsk:1 lund:1 unbinned:1 mississippi:2 van:1 additional:2 snyder:1 imperial:1 beneke:1 innes:1 suzuki:2 function:7 banerjee:1 eal:3 hw:1 collected:1 neutral:1 hi:1 compute:1 wish:1 flip:1 below:2 limit:2 distribution:11 nugent:1 int:2 ub8:1 emery:1 nazionali:1 hautes:1 sordini:1 diego:1 functions:3 compared:1 calibration:1 other:5 chavez:1 variation:1 posocco:1 4s:2 searched:1 richardson:1 |
0705.0399.txt |@word measurements:1 saturating:1 consider:2 pointing:1 rev:18 results:1 edm:25 cheung:1 scalar:2 supplement:1 gang:1 h40:4 contributions:11 causes:1 vev:2 u3:1 ys:2 γu:1 tq:1 absorbing:1 charge:3 c223:1 under:2 analogous:1 γd:3 applied:1 very:6 f23:3 vle:1 conditions:1 induce:1 parry:1 maskawa:3 mixing:41 mh1:6 em:1 difference:2 matrices:4 condition:1 obvious:1 level:9 mb:8 solution:1 large:7 assignments:1 ml:2 indices:1 m212:1 upper:5 smaller:4 consistent:1 parameterization:9 sin2:1 direct:1 dimensional:1 peccei:4 approximation:2 zero:7 zx:1 chen:1 iσ2:1 fusaoka:1 tev:3 even:3 ˆu:3 sum:1 expressed:1 current:3 version:1 ˆd:5 above:6 renders:1 acknowledgments:1 suppress:1 y2:4 full:2 simultaneously:1 lee:3 ibid:3 exchange:15 respectively:2 component:1 here:2 mev:7 consideration:1 strong:2 z2:1 chen1:1 cabbibo:2 institute:1 study:3 studied:2 m3p:2 recently:1 resulting:1 bd0:1 geng:2 chang:3 changes:1 taipei:1 uniquely:2 a21:2 keung:1 gluon:4 redefining:1 neutrino:4 meson:23 establish:1 unit:2 discuss:2 use:1 takes:1 usa:1 νr:10 aubert:1 nucl:5 bigi:2 m1:1 therefore:5 typo:1 qcd:3 taken:1 theoretical:3 more:6 successful:2 conclusions:1 naive:1 oregon:1 xiao:1 babu:1 particular:1 known:3 considerable:1 cases:3 iii:1 must:2 me:2 md:11 account:1 mc:10 indicates:1 h10:4 science:2 equation:1 work:4 mi:5 mk:4 mj:5 mu:9 mt:2 suggestive:1 ij:3 values:3 mp:3 ms:1 mr:4 following:7 making:2 spontaneous:16 example:4 mz:4 ma1:6 f1:1 f2:1 f3:1 degenerate:1 indicated:2 give:1 introduces:1 2mp:1 thuile:1 high:1 vckm:39 beall:1 want:1 allowed:1 tan:3 γdi:1 dk:1 information:1 needs:2 erratum:3 requirements:1 s3:3 s2:3 s1:1 breaking:2 feature:1 occur:1 write:3 how:2 sakata:1 disappear:3 frere:1 sij:1 sin:33 fp:1 fq:3 rept:1 γd1:1 γd2:1 may:4 after:1 ball:2 dc:1 diagram:2 b2ij:3 produce:2 fd:2 lat:1 mak:1 fk:1 data:6 parallel:1 constants:1 short:1 jiang:2 maki:2 effective:1 higgs:55 light:2 b166:1 electron:2 element:1 provide:1 used:2 allow:1 fp2:4 parameterizes:1 order:13 c2:2 xlii:1 eigen:2 produces:1 spence:1 differences:1 a01:1 emmanuel:1 eiθi:3 including:2 mentioned:2 y3:4 suffer:1 its:1 hl0:1 diagonalized:1 lepton:5 group:1 thank:1 decay:1 ln:2 interesting:2 masses:14 lm:3 lk:2 boson:7 li:1 lv:1 previously:1 lenz:1 lu:1 degrees:2 choose:1 potentially:1 main:2 easier:1 ly:4 qq:2 violating:8 good:1 eiθ2:1 propose:1 eiθ1:1 effects:2 they:1 rotation:1 now:3 realize:3 2t:2 2u:1 february:1 several:1 ifp:1 2v2:2 always:1 θij:2 presented:1 2x:1 identified:5 possibilities:1 magnitude:1 conflict:1 d42:1 pmns:1 constraints:4 goldstone:1 el:1 mdi:1 ei:6 significantly:1 sanda:1 generation:1 energy:1 idea:4 related:3 involves:1 decays:1 vp:4 v12:42 measurement:2 our:5 eq:3 out:5 shown:1 matrix:33 rs:2 m2t:4 mq:2 furthermore:1 since:3 lagrangian:2 m2s:1 particles:1 mediated:3 rc:1 mν:1 ref:1 ri:1 eiδ13:5 earlier:1 interactions:4 m2ef:1 diagonal:1 pub:1 quark:21 ex:2 small:8 reason:2 carried:1 complicated:1 term:2 besides:1 usual:1 md2:1 estimate:2 md1:1 generate:1 definition:2 interaction:3 r1:1 r2:1 r3:1 choudhury:1 srednicki:1 m21:1 m22:1 m23:1 motion:1 int:1 levels:1 tempting:1 leading:1 k0:1 neglect:1 first:2 origin:2 dine:1 already:1 features:1 symmetry:6 barr:1 least:2 another:3 vainshtein:1 tively:1 illustrate:1 given:10 iai:1 their:3 introduction:1 unknown:1 top:4 system:3 construct:1 needed:2 assumption:1 fermions:1 hundred:1 violated:2 ias:1 gives:1 akhoury:1 becomes:1 electroweak:1 scipp:1 edms:1 too:1 valencia:2 x3:1 than:6 observed:1 third:1 require:1 tree:7 see:6 classes:2 f13:5 ia0:2 ia2:4 lowest:1 generality:1 outstanding:1 modern:1 bs0:2 m2a1:3 wyler:1 further:1 saw:2 any:1 strength:2 depending:1 studying:1 responsible:1 h20:2 mechanism:2 note:3 sciences:2 causing:2 absorbed:1 take:5 γu1:2 2d:1 m2:2 i2m:1 sure:1 electric:3 volkas:1 collaboration:2 reach:1 αs:21 singlet:2 m2h1:14 m2h2:1 eaten:1 phase:28 measured:2 abe:1 fu:1 consequences:1 ckm:30 saturate:1 implications:3 km:9 face:1 chiral:1 gµν:2 chiang:1 left:3 physics:4 section:3 λlk:3 sector:7 mckellar:3 show:3 violation:24 supported:1 implying:1 solutions:1 find:8 d1:1 henceforth:1 fg02:1 parameters:6 zee:1 enough:3 should:2 only:11 explicitly:1 factor:3 axion:6 hsing:1 do:2 dl:2 dominant:1 gev:22 get:3 dd:1 de:2 expectation:2 fbs:1 cannot:1 dx:3 new:5 du:2 dr:14 differentiating:1 dq:3 a2ij:4 babar:3 exchanged:1 fields:5 arxiv:18 remove:1 common:1 qi:2 through:2 fixed:3 discussing:2 ql:3 doublet:6 set:3 imposing:1 national:3 box:1 relative:1 y1:4 depends:1 considered:2 discussions:2 close:4 pµp:1 flavor:4 sei:3 pakvasa:2 phases:3 satisfying:1 dn:10 dipole:4 s223:1 fcnc:8 written:5 determined:2 identification:3 between:3 before:2 mui:1 comparable:1 terms:8 sole:1 combining:1 however:5 council:1 key:1 invisible:3 jetp:1 suppressed:3 jon:1 c22:1 c23:15 cos:4 iδ13:4 mu1:6 mu2:6 taking:4 uncertainty:1 equal:3 dγn:1 connection:3 romao:1 braaten:1 dated:1 pdg:12 contribution:18 expression:1 ll:6 comes:1 comment:1 relevant:1 cm:7 point:1 simple:1 pos:1 running:2 ii:1 m12:1 anti:10 quinn:4 respect:1 cp:36 factors:3 pseudoscalar:1 ps:1 pp:1 pq:10 described:1 puts:1 basis:4 come:4 due:6 been:6 ai:1 yao:1 much:7 slowly:1 change:1 pj:2 ph:14 pi:2 ak:3 v22:6 both:3 quantities:1 photon:1 θd:1 h30:2 understand:1 external:1 angles:2 nierste:1 c3:2 θs:4 c1:1 denote:1 present:5 case:15 multi:4 imz:1 look:1 unlike:2 appearance:1 value:6 spontaneously:3 will:16 eugene:1 couplings:10 loop:10 real:1 unitary:1 coupled:2 phenomenological:2 vi:4 thus:1 them:3 iv:1 couples:1 vr:3 vs:19 im:16 ia:4 bij:1 dkij:1 vanish:1 decisively:1 currents:1 around:1 different:5 italy:1 φu:2 d12:2 nakagawa:1 belle:2 make:1 koide:1 same:13 complex:1 φd:2 φi:3 constructed:3 shao:1 neutron:20 higher:1 independent:2 weinberg:3 numerical:1 vvs:2 iδ:10 doublets:8 v1:38 moment:4 v3:30 purpose:1 kim:1 potentials:1 changing:4 yuan:3 recent:2 costa:1 ckij:1 so:1 center:2 s213:4 charges:4 well:3 analysis:3 non:5 s22:1 s23:19 without:1 experimental:8 model:36 charged:2 λs:1 restore:1 stringent:1 proposed:1 λt:1 being:2 rotated:1 obtain:3 assigned:2 4πfπ:1 identify:1 predicts:1 talk:1 taiwan:2 ng:1 eigenstates:1 previous:3 tight:1 zakharov:1 matias:1 parametrization:3 yt:1 source:5 potential:10 lett:19 c13:15 c12:12 mod:1 γu2:1 identical:1 saturation:1 yukawa:11 increased:1 rencontres:1 phenomenology:1 couple:2 possible:2 qj:5 vacuum:3 using:3 part:2 unique:1 color:5 ruled:2 loss:1 mhl:1 theor:2 particle:2 alternatively:1 δs:13 specific:3 grants:1 arbitrary:1 popular:1 become:3 valence:1 university:2 maximize:1 right:4 often:1 some:2 back:2 okamoto:1 b0:1 b1:1 c213:1 diagonalizing:1 march:1 provided:1 scale:9 describing:1 eiδ:4 lead:1 avoid:1 quarks:6 does:3 kobayashi:3 expressing:1 prog:2 branco:3 vs2:2 minimization:1 s13:19 s12:13 zhitnitsky:1 broken:1 ei2:1 leptons:1 bs:2 hadron:1 about:1 central:2 would:3 constraint:1 nda:1 freedom:2 mohapatra:1 discussed:2 a3:3 fischler:1 range:1 a2:15 ensure:1 other:1 ηf:1 ηd:2 follows:1 h2:30 h3:22 into:1 h1:39 numerically:1 bound:7 three:1 down:4 lies:1 2v1:1 lat2005:1 determine:2 sov:2 approximately:1 proportional:4 theoretically:1 mbs:6 jing:1 hep:17 deshpande:3 there:19 long:3 u2:1 start:1 fd2:1 bosons:4 low:2 way:1 ux:1 was:2 moriond:1 opposed:1 hz:4 elsewhere:1 form:4 δkm:8 hw:4 but:3 neutral:12 hi:3 hl:1 larger:2 removed:1 proposal:1 vevs:4 he:6 gaµν:1 made:3 he1:1 whether:1 cij:1 up:7 us:1 ur:13 ul:1 shifman:1 demonstrate:1 problem:2 similar:2 distance:2 v32:6 defined:5 abstract:1 contribute:2 general:5 v2:36 γui:1 internal:1 physical:3 functions:2 compared:1 igs:1 no:6 na:11 when:11 handed:4 νrc:1 power:1 field:5 setting:1 b12:1 details:2 parameterizations:1 department:2 gunion:1 er:9 conclusion:1 briefly:1 elements:3 la:1 zhou:1 a12:2 models:24 finite:1 sm:1 problems:2 a1:25 gev2:1 generated:2 important:2 neutrinos:1 xing:1 ξc:1 structure:2 building:1 implies:2 coupling:5 standard:2 required:1 rule:1 gαβ:1 na2:2 equivalently:1 mass:21 eilam:1 requires:1 original:3 |
0705.0400.txt |@word yamaguchi:1 limited:4 sci:1 consider:8 pointing:1 illustrates:1 depends:2 consolidated:1 forbidden:1 varying:1 alternatives:1 results:2 leads:5 abramo:1 scalar:13 subclass:1 trodden:2 constants:2 follow:1 expressions:1 wholly:1 contributions:1 go:2 issues:3 discern:1 extra:2 depend:1 calculate:3 caldwell:3 linder:5 chaplygin:8 show:3 presents:1 parametrization:1 finally:1 does:4 those:4 stable:25 tegmark:2 worth:1 indicating:1 sound:17 string:2 advantage:1 evolves:2 very:3 rise:1 conditions:1 crosses:5 figs:1 stays:5 condition:14 markers:3 four:6 induced:1 quantitatively:1 immediately:1 altering:1 turns:1 having:3 differentiating:1 solution:12 integrated:1 large:1 frozen:1 science:1 small:3 gauge:2 shows:7 equation:63 degeneracy:6 vikman:1 squared:5 says:1 riess:1 sign:5 past:2 consists:1 likely:1 microphysical:1 insertion:1 further:1 dynamics:10 ρn:2 canonical:14 even:4 established:1 what:5 const:7 appear:2 giving:3 neg:1 section:10 3w:12 near:1 uniform:1 current:2 paradoxes:1 above:5 new:3 increasing:2 method:1 thin:2 satisfy:1 evolving:2 led:1 degree:2 mem:1 respectively:1 component:5 here:5 ansatz:6 xfx:7 mew:2 free:5 jcap:2 berkeley:2 causality:1 along:2 quite:1 equations:17 appears:1 change:1 obtained:4 substance:1 clarify:1 technical:3 shift:2 study:4 studied:1 completely:3 commonly:1 guide:1 suggests:1 characterizing:1 action:8 proportionality:1 adopting:1 changes:2 explain:1 plotted:4 uniquely:1 spatially:1 padmanabhan:1 bertolami:1 scales:2 requiring:1 merely:2 vii:1 marked:1 raul:1 analyzing:1 apply:1 establish:3 planck:1 volume:1 standing:1 plot:2 use:6 eye:2 figure:4 would:6 distinct:1 positive:11 stated:1 readable:1 negative:5 next:2 few:1 sample:1 explicitly:3 call:1 therefore:4 characteristics:1 mysterious:1 robertson:1 type:1 theoretical:1 today:8 more:7 separated:1 flat:1 separates:1 formally:1 definition:1 clearly:1 becomes:5 acceptable:1 under:2 fifth:1 curvature:2 comoving:1 appendix:2 clumpy:1 virtue:1 particular:4 known:2 cases:7 subscripted:1 iii:3 must:5 zaldarriaga:1 high:2 keeping:1 valued:6 illustration:1 recall:1 originally:1 work:2 det:1 theories:3 reproduce:5 minimum:1 mq:1 mp:1 freedom:2 following:3 ρx:1 scherrer:2 example:8 history:1 meant:1 perlmutter:1 wang:1 cosmological:18 give:5 predict:1 relativistic:2 allowed:6 involve:2 indicates:1 lorentz:1 degenerate:5 sense:5 pinto:1 conversely:2 axis:3 copeland:2 end:1 straightforward:1 gcg:3 sit:1 provide:1 verify:1 discussion:3 get:6 backgrounds:2 regions:18 how:2 criterion:1 coordinates:3 pure:1 answer:1 instead:2 ordinary:1 armendariz:3 parameter:1 sng:1 astroph:1 express:1 description:1 mukhanov:3 may:4 illustrate:1 office:1 after:3 derived:1 dx2:1 lab:1 ηij:2 consequence:1 wrong:1 produce:1 director:1 designed:1 holman:1 horizontal:2 da:12 data:4 subsection:1 types:2 ambiguous:1 stress:1 short:2 natural:3 dynamical:6 effective:4 light:3 lines:8 correspond:6 think:1 rather:2 accelerated:1 ones:2 so:12 fundamental:1 deac02:1 subsequently:1 first:10 order:3 gµν:3 travel:1 neto:1 exotic:1 zlatev:1 interpretation:1 dx:4 pngb:1 produces:1 essence:83 over:5 top:1 choose:3 interpreted:1 stability:12 course:1 picon:3 paper:2 through:2 a3:3 mentioned:3 existence:1 kinetic:40 suffer:1 its:5 observational:2 derive:3 fit:1 ln:6 interesting:4 solving:1 boson:1 writing:1 late:1 okabe:1 offers:2 encounter:1 constitutes:1 potentially:1 melchiorri:1 main:1 defining:2 supersymmetry:1 non:8 good:3 combination:3 distinguishable:1 damour:1 practice:1 number:3 scaling:1 mention:1 effects:1 they:4 3w0:1 now:6 discuss:4 densities:1 represents:1 february:1 2w:4 dirac:1 always:3 university:1 2x:6 possibilities:1 realistic:1 magnitude:1 luminosity:1 crossing:3 found:4 2n:2 side:1 characterized:1 constraints:1 subset:1 valuedness:1 differential:1 independent:2 energy:49 principles:1 related:1 inverted:2 challenges:1 investigated:1 trading:1 interplay:1 measure:1 quantum:3 our:3 beyond:2 eq:20 special:1 out:5 leave:1 shown:1 space:10 furthermore:1 since:13 lagrangian:30 qc:1 denotes:2 particles:1 fx:14 rel:1 squares:1 issue:2 correct:1 math:1 unifying:1 plotting:2 theory:8 normalized:1 easily:1 given:15 possibility:2 standard:3 admits:1 quick:1 reason:3 perturbation:1 california:1 demanding:2 hand:3 generate:1 degeneracies:2 hubble:3 interaction:1 determining:1 could:5 impose:1 cosmic:5 times:4 motion:3 quintessence:21 int:2 plane:8 place:1 target:4 corrections:1 view:1 eqs:4 heuristically:1 origin:4 arrows:1 already:2 symmetry:3 tachyon:3 possessing:2 requirement:3 preservation:1 restrict:1 clear:1 done:1 least:1 another:4 impossible:1 thick:2 precisely:2 size:1 little:2 necessarily:2 sheet:4 indicate:2 introduction:2 leading:2 condensate:1 behaves:1 construct:7 realistically:1 their:5 null:1 assumption:2 observations:1 dt2:1 postulate:1 recent:1 gives:5 back:1 behind:1 mersini:1 explanation:2 exactly:4 electroweak:1 part:4 parametrized:1 x0:1 concentrating:1 than:1 thawing:5 begins:2 distance:1 third:2 showed:1 double:6 zero:7 viollier:1 claim:1 matter:16 determined:1 posit:1 toward:2 w2:2 exhibit:1 motivation:4 pasquier:2 multiplicative:1 unchanged:1 modern:1 argument:1 generalization:2 say:1 enforces:1 sen:4 need:3 seen:3 constrained:1 any:7 viewed:2 relatively:1 acceleration:3 lie:8 minimally:1 regime:2 check:1 studying:1 latter:1 able:1 note:14 instance:1 potential:11 generalized:4 observationally:1 finding:2 negligible:1 coincide:1 redshifts:5 moscow:1 play:1 brane:8 unless:1 ds2:1 though:3 track:1 bagla:1 plugging:1 most:2 gravitation:1 steinhardt:3 phase:3 naidu:1 transverse:1 measured:1 why:1 probable:1 feinstein:1 ka:1 constructed:1 considered:2 chosen:2 later:1 dimension:1 points:7 formation:1 principle:3 ative:1 dor:1 physics:6 away:2 fact:5 quantity:1 slope:7 simultaneously:1 restriction:1 violation:1 text:1 supported:1 anyway:1 evaporation:1 purely:6 relation:2 solutions:11 astrophys:2 d4:4 fine:4 find:10 decade:1 bruneton:1 indicator:1 ratio:1 just:3 baryonic:1 situations:1 guidance:1 original:1 written:1 should:3 increasingly:1 only:18 going:2 candidates:1 raising:1 factor:12 extremum:3 perturbations:3 continuity:1 do:3 explorations:1 dominant:3 goes:1 illustrated:1 means:4 df:1 de:13 freezing:5 fluid:3 truly:1 bean:1 cannot:9 words:3 altogether:1 dw:4 boundary:4 dp:3 unfortunately:1 produced:1 evolution:3 continuum:1 indicated:1 explore:1 fields:2 arxiv:5 acknowledgments:1 investigate:2 noncanonical:1 minkowski:2 warp:1 liddle:1 fixed:2 discussing:1 approaching:2 redefine:1 computed:1 imposing:1 chimento:1 nambu:3 epochs:1 naturalness:4 see:27 result:2 w0:27 terms:10 ansatzes:2 letting:1 c2s:24 still:2 tensor:2 ways:2 review:1 convex:2 boundaries:2 state:62 future:3 closed:3 between:10 affecting:1 pgµν:1 approach:4 law:1 hence:4 perfect:3 comparable:1 recently:1 reproduced:2 wa:12 nature:2 pedagogic:1 however:9 reproduces:1 concentrate:1 spergel:1 extent:3 distinguish:1 article:1 motivations:2 both:5 providing:1 prescription:2 limits:4 many:2 region:16 conclusions:1 equal:2 against:1 energies:1 dated:1 receives:1 distinction:1 mean:1 expression:5 finds:1 comes:2 otherwise:2 behaviors:2 relevant:3 moschella:2 point:6 simple:5 overview:1 ca:2 each:1 period:1 insist:1 coincidence:1 dimensional:4 simply:3 hope:2 lagrange:1 cs:4 respect:4 throughout:1 branes:1 considering:1 extrema:2 described:12 tuning:4 second:2 stretch:1 trajectory:2 px:1 ing:1 three:1 been:2 implicit:1 viable:1 conundrum:1 describes:5 treat:1 interest:4 basic:1 ph:2 dynamically:1 fig:28 dots:1 suggested:1 direction:1 enable:1 corresponding:8 tµν:1 restrictions:1 quantities:2 sufficient:4 gas:8 toy:2 gen:1 wish:1 observe:1 univ:1 renormalizable:1 last:1 irrelevant:1 present:1 sami:1 case:10 look:9 supernovae:1 solid:4 straight:1 starts:3 examine:1 value:3 will:16 while:2 p2:1 euler:1 behavior:8 freely:1 investigating:1 property:2 leaves:2 loop:1 representing:1 gorini:1 xµ:3 coupled:1 linked:1 vi:8 metric:6 thus:3 them:1 iv:4 ii:3 vs:2 pathology:1 increased:1 different:7 confirms:1 parabola:1 grant:1 perhaps:2 corresponds:9 radiation:3 cross:3 same:5 tells:2 rules:1 unity:1 roland:1 emphasize:1 units:2 several:3 higher:2 evolve:1 used:2 context:1 somewhere:1 05ch11231:1 trajectories:2 upon:1 functions:3 possible:11 inhomogeneities:1 usually:1 sandvik:1 moving:1 potentials:2 infinite:1 changing:3 invariance:1 kamenshchik:1 normalization:1 fxx:7 early:2 tracking:2 off:2 scenario:1 makes:1 variety:1 well:9 analysis:1 without:4 inflation:1 solve:4 machinery:1 components:3 convenient:1 coordinate:3 position:1 model:33 arising:1 self:1 left:5 unified:1 suff:3 proposed:1 less:2 being:2 generally:1 obtain:2 infeld:1 distinguishing:1 distant:1 using:7 differentiation:2 useful:5 alternative:1 doran:1 speed:19 previous:4 begin:1 chiba:1 enters:1 waga:2 candidate:1 density:22 conclude:1 except:1 signals:1 add:1 valid:1 lett:11 problematic:1 jassal:1 tell:1 match:1 lagrangians:11 momentum:2 take:1 real:2 exhibited:1 around:4 ample:1 alternatively:1 read:1 evaluate:1 showing:4 term:3 cf:3 dark:29 increases:1 quest:1 grid:1 know:3 background:3 vacuum:2 press:2 necessary:4 bit:1 gr:1 mod:4 generated:1 naturally:1 appearing:2 like:13 particle:6 follows:1 adiabatic:8 accelerating:2 specific:3 similarly:1 unstable:8 either:3 integrals:1 arbitrary:1 popular:2 become:4 preclude:1 regardless:1 therein:2 exceed:2 because:6 functional:1 often:2 namely:2 people:1 imaginary:3 concave:2 some:14 goto:2 born:1 deduce:1 examples:9 moreover:2 separately:2 scale:15 describing:2 calculating:1 lead:1 bottom:1 bento:1 putter:1 measurements:1 extensively:1 microwave:1 causal:1 critical:2 provides:2 constitute:1 refer:1 inserting:1 power:1 location:1 rescale:4 equivalent:4 predicting:1 agreement:1 expansion:6 notably:1 pressure:9 although:1 bilic:1 plots:1 analyses:1 bx:1 properties:8 panel:4 gained:1 about:3 actual:1 world:4 universe:8 based:1 discussed:1 dependence:2 o:2 range:13 a2:1 plus:2 places:1 tupper:1 referred:2 explicit:1 automatically:1 goldstone:1 equally:2 rev:20 redshift:13 previously:1 material:1 into:4 within:6 domain:1 lies:5 right:6 references:2 inverting:1 determine:1 einstein:1 proportional:1 mark:1 ρvac:1 technically:1 clustering:1 analytically:1 removing:1 there:10 question:3 long:2 restricts:2 way:3 biggest:1 finelli:1 analyze:2 was:2 gij:4 far:1 damping:1 function:21 form:15 converse:1 but:16 approximates:1 astro:2 v0:1 line:7 true:1 illustrative:1 faster:1 usefulness:1 again:3 made:1 applying:3 embedded:2 whether:7 selects:1 smooth:2 up:1 us:6 until:1 below:1 limit:2 marginally:1 approaches:1 static:1 problem:5 define:1 similar:2 called:5 mechanics:1 sort:1 constant:41 defined:7 certain:4 astron:1 describe:2 tsujikawa:1 general:6 single:8 diverse:2 exist:2 rule:1 ax:1 moves:2 eric:1 physical:12 phantom:11 friedmann:2 mp4:1 compared:2 ideally:1 no:4 ends:1 dashed:5 whereas:1 when:8 detail:2 field:27 other:12 role:2 details:1 spatial:2 department:1 amendola:1 conclusion:1 picture:3 kinds:1 excitation:1 models:27 finite:1 problems:3 variation:2 expressing:1 a1:3 push:1 meaning:1 important:2 bounded:2 allowing:1 rolling:2 developed:1 structure:2 ago:1 implies:5 happening:1 assume:6 values:2 curve:3 pseudo:1 together:1 dρ:4 equivalently:3 mass:1 dot:1 time:11 walker:1 everywhere:1 starting:1 integrates:1 once:2 |
0705.0401.txt |@word neighbors:3 represent:1 consider:7 chinese:1 switched:5 dynamic:1 results:4 leads:2 disc:1 cooperative:1 gn:1 disk:1 whose:1 graph:14 presents:1 finally:1 stable:7 nodes:5 undirected:2 norm:2 applied:1 g2:3 g1:3 schur:1 focus:2 lyapunov:11 every:8 figs:2 entries:2 jacob:1 matrices:1 condition:5 common:1 four:3 obvious:1 presented:2 diverging:1 bσ:6 solution:1 maggiore:1 vector:3 indices:1 eigenvalues:8 warburton:1 vicsek:2 leaders:1 disciplines:1 consistent:1 horn:1 second:1 design:1 royle:1 pass:1 dynamics:4 linear:1 even:1 index:2 errors:4 plays:1 witnessed:1 diag:3 section:7 gutin:1 expressed:1 uniform:1 suppose:3 increasing:1 consisting:1 lea:1 degree:1 respectively:2 ǫt:9 component:4 here:4 understanding:1 l21:1 desired:1 l22:4 china:2 groups:1 others:1 concluding:1 path:4 along:1 strong:8 equations:2 obtained:5 remark:4 institute:1 involved:1 study:3 studied:1 through:2 usually:2 conveniently:1 proof:8 studies:1 jalan:1 york:4 motile:1 beijing:1 schooling:1 follower:5 total:1 univ:1 lσ:7 conventional:1 francis:1 takes:1 prove:1 distinct:5 positive:21 negative:2 eσ:2 next:1 therefore:6 taken:2 ψa:1 theoretical:2 more:4 saber:3 becomes:3 adjacency:8 lazarus:1 labelled:1 varying:7 cases:5 circle:2 springer:3 animals:1 science:1 equation:2 work:1 rκ:2 mu:1 values:1 concepts:2 following:17 nonsingular:3 trans:4 example:4 initial:3 control:6 nearest:2 weaker:1 challenging:1 give:2 organized:2 agent:13 indicates:1 minimum:2 dropped:1 reynolds:1 jensen:1 influenced:1 needs:1 s2:1 s1:7 get:1 delay:10 located:2 criterion:1 verlag:2 simplicity:1 blocks:2 description:1 arcs:1 may:1 max:3 oscillators:1 after:1 different:2 lab:1 applications:3 plane:1 data:3 short:1 effective:1 sp:3 element:1 sj:1 complexity:1 algorithms:2 verify:2 sc:4 order:5 origin:1 holds:2 cσt:2 murray:1 years:1 stability:7 paper:4 including:2 banach:1 mentioned:1 satisfies:4 still:3 ieee:4 its:6 before:3 group:4 interesting:1 ds:7 better:1 complex:1 systems:6 lp:4 coordinated:2 main:1 instantly:1 maximal:1 non:1 fig:13 investigated:1 functional:1 framework:1 bang:1 hale:1 they:1 half:1 now:1 easily:2 several:1 2r:1 sufficiently:3 1x0:1 l2:1 each:10 found:4 referred:1 subset:1 differential:3 weight:1 inputs:1 ed:1 hard:1 ec:2 been:2 our:1 er:1 shown:5 network:1 space:1 since:7 rev:3 ry:1 denotes:4 particles:3 aji:1 schochet:1 denoted:2 rm:3 rn:13 induced:1 2k:1 math:1 shows:4 i2:2 theory:4 mechanisms:1 diagonal:10 free:1 quite:1 small:3 formation:1 collection:1 ecp:3 r2:1 starts:1 nonnegative:3 motion:5 hence:1 first:4 xj:2 xi:6 xn:1 eǫ:1 omitted:1 krasovskii:1 number:2 another:1 xt:3 illustrate:1 passes:1 given:6 rewritten:2 similarly:1 introduction:2 system:15 least:3 their:2 1c:1 assumption:4 calculations:1 convention:1 lunel:1 discussion:1 relationship:1 academy:1 continuous:5 2at:1 part:1 because:2 simulate:1 authors:1 x0:5 x1:1 than:3 determines:1 johnson:1 require:1 zero:12 arc:5 were:2 sec:4 generality:1 rewrite:1 cohen:1 say:3 acknowledgment:1 disjoint:1 any:5 form:4 min:1 lim:2 self:2 si:5 indexes:1 note:2 sciences:2 potential:1 gσ:10 take:11 sufficiency:3 indexed:2 so:2 concern:1 switching:6 multiple:3 though:2 sets:3 rearrange:1 algebraic:1 satisfying:1 connected:7 remarks:1 information:1 qǫ:1 considered:5 sometimes:2 physica:3 lpp:1 ks:1 graphs:5 proceedings:1 kp:1 error:4 velocity:6 physics:1 fact:3 follow:1 leibniz:1 supported:1 notations:1 keywords:1 trivial:1 networks:1 d1:1 based:5 just:1 delays:8 distributed:1 written:1 lemma:20 only:7 siggraph:1 acm:1 employed:1 constant:7 preliminaries:1 dn:1 ger:2 moreau:1 di:4 cannot:1 new:4 boundary:1 areas:1 earl:1 qp:1 qs:2 qv:2 arxiv:1 discs:1 architecture:2 nondecreasing:2 fixed:6 automatic:4 cǫ:2 set:13 exists:6 slotine:1 see:1 computer:1 radius:1 result:3 rmn:1 λmin:6 subject:1 said:1 inequalities:1 cσ:2 definite:12 functionals:1 state:1 smallest:1 various:1 between:5 subscript:1 across:1 godsil:1 ends:1 recently:1 confusion:1 attention:1 transpose:1 however:1 key:2 analyzed:3 autonomous:2 topology:18 both:4 cos:2 many:1 taking:2 according:2 automatica:1 flocking:2 trajectories:2 otherwise:1 point:1 simple:9 asymptotically:2 grants:1 agents:22 consideration:1 moreover:5 conference:1 pp:1 described:3 addition:2 trajectory:1 ai1:1 due:2 laplacian:12 ai2:1 much:1 basic:2 ph:1 define:1 2ǫt:1 arises:1 corresponding:4 sufficient:5 gao:1 graphics:1 general:1 case:12 multi:5 subsets:1 pacs:1 harder:1 single:1 value:1 will:3 euclidean:1 while:5 aii:1 behavior:3 aij:11 property:5 interconnected:1 identical:1 coupled:1 vi:4 thus:5 vn:1 ii:2 cluster:2 ij:5 contradiction:3 hong:2 tra:1 wang:2 belong:1 parts:2 followers:1 connectedness:2 proved:1 finite:4 difficult:1 independent:1 used:1 i1:2 i0:1 i3:1 numerical:4 nj:1 possible:2 v0:8 v1:2 v2:1 kin:2 necessity:3 hσ:12 identity:1 recent:1 cto:1 addressed:1 modeled:1 well:3 analysis:9 obviously:2 without:1 components:4 simulated:1 position:4 model:5 nnsf:1 lin:1 proposed:3 being:1 formula:1 newton:1 obtain:4 lii:7 assigned:1 coordination:2 conclusions:1 regarded:1 conclude:1 valid:1 transformed:1 lett:2 easy:1 theorem:13 complements:1 interconnection:8 real:4 eigenvalue:15 rules:5 iγ:2 aggregation:2 propelled:1 vladimirov:1 press:1 integer:1 loss:1 necessary:3 particle:1 follows:7 collective:2 unnecessary:1 consensus:4 either:1 introduce:1 signal:2 mathematical:1 ecology:2 often:1 deal:1 sequence:2 successfully:1 some:9 under:1 examples:1 b2:4 strogatz:1 recognition:1 nonzero:2 specific:1 cybern:1 nonempty:1 broad:1 l11:9 manipulations:1 does:1 leader:27 biology:1 uniformly:1 l1:1 bi:14 illustration:1 bt:1 demonstrates:1 integers:2 discussed:3 o:1 simulation:3 practical:1 union:1 range:1 eσt:2 neighbor:8 steadily:1 introduced:2 block:3 nsi:4 nsj:2 digraph:13 communication:1 into:1 bound:1 ai0:2 pair:4 appropriate:1 weighted:3 references:1 olfati:3 balanced:10 topologies:2 there:13 u1:1 biol:2 mandel:1 way:1 was:8 chu:1 function:9 subgraph:1 phenomena:1 sequel:2 laplacians:1 delayed:3 but:1 hu:2 hh:1 hi:2 renumber:1 convergence:7 directed:5 differentiable:1 mobile:1 un:1 ui:5 continuously:1 demonstrate:1 problem:5 similar:3 called:3 eigenvector:1 b1:8 strongly:7 associated:9 digraphs:2 defined:6 abstract:1 describe:1 denote:2 globally:26 engineering:2 right:1 simulations:1 moves:1 ni:8 functions:4 no:7 when:7 virtual:1 invoking:2 continuoustime:1 other:4 role:1 details:2 theor:1 conclusion:2 node:37 elements:5 models:1 reachable:27 problems:4 robots:1 qσ:4 important:1 bounded:2 qφ:1 matrix:28 implies:2 coupling:26 assume:2 interval:1 rule:2 equivalently:1 time:22 starting:1 having:1 |
0705.0402.txt |@word represent:1 monte:3 deloye:6 maximum:1 caused:3 desirable:1 results:2 four:3 know:2 disc:12 heliocentric:2 follow:1 remarkably:1 nwo:2 causes:1 poorly:1 compact:1 terms:1 nasser:2 fellowship:2 technique:2 tween:1 indicate:2 those:1 veni:1 under:1 include:1 imapp:1 supported:3 amplitudes:1 garden:1 advantage:1 very:8 frequencies:2 phasing:3 mg:2 wave:13 cataclysmic:4 worst:1 atmospheric:1 little:1 vlt:8 leads:1 trm:1 level:1 cause:1 solution:2 large:9 adjust:1 min:3 small:3 lisa:1 shows:7 noted:2 concluded:1 work:1 periodicity:1 folds:1 porb:2 estimates:1 sinusoid:4 radboud:1 fold:6 second:27 street:1 timescales:1 spectrograph:1 gn:1 chen:1 further:3 carlo:3 quite:2 linear:3 blue:8 will:4 43m:1 adds:1 stands:1 rate:1 giving:1 drifting:1 suggestive:1 consequent:1 current:1 above:2 new:3 aliases:1 consisting:2 unsurprisingly:1 full:1 systematic:1 dwarf:7 degree:1 component:1 here:3 agreement:1 behaviour:2 objects:1 free:1 excess:9 ratio:14 method:2 strong:1 observing:1 appears:3 change:1 extreme:3 obtained:5 search:2 arrive:1 arc:3 shift:3 losses:1 allows:1 reason:1 commonly:2 leaving:1 prior:1 amount:1 base:1 products:1 suggestion:1 boo:2 usually:1 had:1 narrow:1 studies:2 solheim:2 king:2 followed:1 secure:2 campaign:2 claim:1 requiring:1 photometric:7 scaled:1 steeghs:9 nijmegen:1 apply:1 total:2 establish:1 periodograms:2 unit:1 readily:1 undergone:1 figure:21 would:9 distinct:1 chi:6 negative:3 pasj:2 next:5 spectrogram:5 few:1 sample:2 m1:6 therefore:1 m2:4 taken:7 clay:1 more:6 smeared:2 skewness:1 inclined:1 apparent:1 envelope:1 emission:8 visibility:2 instrumental:1 visual:1 basically:1 riod:1 varying:1 known:3 must:2 high:7 account:1 ma:1 hour:3 mn:1 remain:1 values:4 indicating:1 following:1 drops:1 root:1 scatter:1 sinusoidal:1 nearest:2 stream:7 allowed:2 states:3 indicates:4 slit:3 minimum:4 degenerate:10 magnitudes:2 sharp:1 keep:1 conversely:2 occur:3 simple:3 monitoring:1 rather:5 helium:7 discussion:1 get:1 feature:12 far:6 hot:1 fourth:2 warner:1 ensemble:1 edinburgh:1 description:1 may:6 broad:4 use:1 derived:7 spots:3 outbursts:1 end:2 data:22 response:1 short:4 randomised:1 effective:4 whenever:1 bestfitting:1 spectra:19 lines:19 correspond:2 tomograms:7 si:2 so:6 allow:3 verify:1 acknowledges:1 order:8 nearly:3 horne:2 evolutionary:1 interpretation:1 aforementioned:1 correlation:1 over:5 spectral:5 mainly:2 interpreted:2 top:2 course:1 thermal:1 paper:3 looks:1 during:1 existence:1 cold:3 still:3 vari:1 its:7 galaxy:1 before:1 perfect:1 style:1 derive:2 group:1 chandrasekhar:4 maps:3 interesting:1 masses:6 exhibits:1 better:2 whether:1 detected:1 marsh:7 harmonics:3 mail:1 main:1 spot:27 thereafter:1 split:1 them:2 good:3 cen:68 material:1 scaling:1 band:3 superhump:23 try:1 they:4 half:1 now:2 represents:2 february:2 netherlands:1 brightness:8 trailed:5 fully:6 university:2 classified:1 identified:1 sufficiently:1 filling:1 magnitude:1 nather:2 mode:1 entered:1 each:5 found:4 photometry:9 constraints:5 subset:2 osaki:4 square:7 telescope:7 map:1 ed:1 energy:1 related:1 interferometer:1 used:3 rueda:1 measure:3 our:27 inflated:1 extract:1 out:7 ru:1 shown:5 space:1 characteristic:1 since:2 crucial:1 research:1 modulation:2 dominated:3 hill:2 max:2 technically:1 supports:2 correct:1 red:5 centauri:3 doppler:17 theory:1 interactions:1 southern:2 confidence:1 ntt:14 tomogram:5 standard:4 completely:2 subtended:1 members:1 intermediate:2 estimate:1 hand:1 temperature:1 extend:1 cycles:1 recovering:1 determining:1 could:1 persists:1 moment:2 times:4 benedict:1 conducted:1 levels:2 massive:2 grism:5 first:8 origin:1 initial:1 features:4 roelofs:21 third:2 variables:4 waves:2 powerful:1 number:1 fits:3 done:1 long:3 another:2 fluxes:1 given:3 datasets:1 publication:1 similarly:1 introduction:1 caught:1 system:3 relations:1 roche:2 their:6 accretion:20 observations:9 influence:1 white:7 especially:1 behaved:1 recovered:1 exposures:4 grant:2 exactly:2 zeroth:1 binned:3 too:2 somewhat:1 off:3 believe:1 than:13 center:1 peaked:1 relative:5 observatory:3 target:1 showed:1 double:1 require:1 menzies:2 likely:4 submitted:1 matter:2 future:1 iron:1 were:13 pasp:4 gives:1 bootstrapped:1 bootstrap:2 spectrum:18 already:1 astrophysical:1 unlikely:1 need:1 seen:10 seem:1 recover:1 any:3 novae:1 relatively:3 kemp:2 nights:9 angle:1 lib:31 alias:1 superhumps:3 latter:1 able:1 note:3 instance:1 fitting:7 calibrated:1 2006a:1 take:2 2006c:3 2006b:5 donor:12 detector:2 many:1 mit:2 accuracy:1 even:4 differences:1 patterson:26 shall:1 track:2 removes:2 object:1 most:4 errors:3 bolometric:1 printed:1 significant:1 position:1 phase:26 contain:1 extremely:2 class:2 latex:1 7al:1 15µm:2 fills:1 verbunt:1 average:13 detectors:1 inferred:2 km:5 wing:2 points:2 principle:1 exp:1 subsequent:1 velocity:3 ky:1 typical:2 physics:1 fact:3 barros:1 shot:1 phenomenon:2 intensity:1 show:5 detection:1 labels:1 halpern:1 discovered:4 mnras:12 bright:28 relation:2 zwart:3 ccds:2 find:3 impact:7 pe:1 bildsten:6 based:8 parameters:1 ngc:1 explain:1 folded:4 stamps:1 should:2 brighter:1 only:7 unable:1 rich:2 factor:2 harvey:1 constant:2 do:3 legendre:1 goes:1 distance:1 lobe:2 vary:1 preferred:1 ones:3 nelemans:21 words:2 consecutive:1 measured:7 ds:1 evolution:1 exhibiting:1 covering:2 luminosity:2 arxiv:1 median:1 yield:1 summary:2 twice:1 discs:1 common:1 though:1 portegies:3 fixed:2 kilkenny:5 set:8 zeropoint:1 ratios:6 achieved:1 attached:1 frame:8 respect:1 grey:2 observed:16 see:14 individual:3 radius:2 european:2 close:5 best:13 closer:2 interacting:5 spectrophotometric:1 ups:1 state:7 determined:2 identification:2 morales:1 between:12 probably:3 conditions:2 variability:4 comparable:1 recently:2 spectroscopy:8 vertical:1 initially:1 weak:3 however:5 spectroscopic:12 harvard:1 key:1 come:1 pixels:3 suggested:4 both:2 folding:2 fit:3 limits:1 always:1 fitted:2 region:6 uncertainty:1 hours:3 bos:1 improves:2 absorption:5 mosaic:2 mean:2 periodogram:3 presumably:1 unclear:1 conclude:4 appeared:2 donoghue:11 corresponds:3 coincidence:1 twin:1 coordinates:1 lagrange:1 polynomial:1 cr:2 consider:1 fwhm:1 mcarthur:1 complication:1 fors2:4 described:3 instrument:2 addition:4 2k:2 cv4:1 due:3 been:5 reduction:1 much:5 slowly:2 combined:5 interest:1 warwick:1 expected:3 degrees:7 ph:1 prototype:1 gravitationalwave:1 donating:1 describe:1 corresponding:2 maximise:1 sufficient:1 formed:1 coincides:1 modelling:1 observe:1 chile:3 astron:1 present:2 case:3 multi:1 laser:1 resulting:3 subsets:2 coventry:1 align:1 appearance:1 empirical:1 value:7 cvn:15 while:4 rotating:1 error:2 ultra:2 taking:1 weakens:1 resolved:3 larger:3 zero:1 almost:3 thus:5 tests:1 ii:8 apjl:1 itself:2 claimed:1 stover:1 technology:3 disappear:1 increased:1 orbital:47 binary:20 different:7 perfectly:3 verified:2 baseline:3 trial:1 perform:2 suggest:2 make:4 intrinsic:4 same:9 clearly:1 shorter:3 changed:1 virtually:1 propose:1 survey:2 several:2 difficult:2 retter:1 fairly:1 literature:6 imply:1 numerical:1 upon:1 companion:1 v2:1 strength:1 robinson:1 php:5 focal:1 recent:1 amplitude:5 lower:1 tracking:1 shortly:1 dying:1 scenario:1 changes:2 calibration:1 well:6 roughly:1 analysis:1 without:1 thought:4 edge:1 renormalise:1 residuals:2 components:2 sets:3 accreting:3 model:3 binaries:7 underestimated:1 left:2 stringent:2 proposed:1 less:3 being:1 obtain:5 rest:2 sources:2 underlying:2 identify:1 yungelson:3 immediately:1 speed:1 alignment:2 previous:1 tables:1 vidi:1 rapid:3 conclusions:1 similarities:1 point:4 sky:1 empirically:1 wings:4 source:2 add:1 potential:1 transformed:2 inner:1 grating:2 extensive:3 heavier:1 match:2 pparc:1 identical:2 psh:1 explained:2 march:5 around:2 spectacular:1 easily:3 showing:1 normalise:1 possible:5 smithsonian:2 period:78 test:2 agrees:2 five:2 mon:1 extrapolating:1 cape:1 coincide:1 advanced:1 apart:1 apj:6 like:3 semi:5 signal:5 reducer:1 emmi:8 skillman:1 flux:8 lawson:1 yields:1 night:20 works:1 stationary:4 reduced:3 velocities:1 classical:1 back:3 strongest:4 table:3 whitehurst:5 grisms:1 avni:2 scale:2 projection:3 dropping:1 centre:1 per:1 does:2 assuming:1 eso:1 pattern:2 subtracted:2 refer:1 measuring:1 noise:2 reasonable:1 seconds:13 arbitrary:1 conventional:1 how:1 although:4 instability:1 losing:1 tidal:1 stay:1 panel:1 comparison:1 about:9 actual:1 usa:1 freedom:1 discussed:1 o:11 simulation:1 remains:1 range:3 plus:2 positive:1 accretor:5 slightly:3 seeing:4 soc:1 cambridge:1 real:3 hirose:2 previously:2 into:5 within:1 koen:1 three:2 stobie:1 weather:2 references:1 tiny:1 determine:3 lastly:1 inclination:2 significantly:3 additional:2 normalised:1 transfer:1 support:1 there:8 question:2 approximate:1 fast:1 dispersion:3 recognised:1 low:7 stars:9 series:2 astrophysics:2 conceivable:1 was:15 assumes:3 naturally:1 function:1 considerably:2 speculate:2 form:1 hp:27 minimise:1 analyse:2 but:8 astro:2 neutral:3 hear:1 beat:2 line:5 true:3 relaxes:2 he:12 count:1 made:4 compute:2 consist:1 sinusoids:1 ut:1 gravitational:1 variations:5 up:9 us:1 below:1 frequency:2 limit:4 uk:1 distribution:1 fried:1 similar:5 strongly:2 associated:5 implications:1 abstract:1 measurement:2 am:15 assumption:1 evidence:2 single:2 right:2 periods:21 file:1 wavelength:1 tomography:2 hydrogen:2 combining:1 check:1 incorrect:1 again:8 programmes:1 nl:1 antenna:1 no:6 rl1:1 when:6 occasional:1 acknowledgments:1 other:7 normal:1 department:2 polar:1 star:17 corrected:2 persistent:1 drift:5 distributed:2 important:1 allowing:1 variable:2 astronomy:1 senior:1 structure:1 exposure:2 kx:1 implies:4 longer:2 using:5 assume:7 starting:2 accretes:1 orbit:2 rule:1 uncovered:1 groot:12 mass:28 4k:2 time:14 walker:1 accreted:1 resolution:10 original:1 evenly:2 |
0705.0403.txt |@word neighbors:7 consider:6 chinese:1 switched:1 reviewers:1 dynamic:1 results:3 existing:1 cooperative:1 consists:2 follow:3 research:1 relationships:2 whose:3 graph:28 technique:1 γk:4 γj:1 tl:8 tj:21 under:3 stochastic:2 undirected:2 tc:1 case:9 fax:4 supported:1 2γi:1 md:2 lyapunov:7 rl:1 zhejiang:1 matrices:4 condition:1 did:1 t0:6 large:2 solved:2 convenience:1 vector:2 indices:1 eigenvalues:8 upper:2 vicsek:1 consistent:1 direct:1 horn:2 l2p:1 zero:1 design:6 value:1 dynamics:8 estimated:2 jadbabaie:5 linear:1 even:2 index:1 what:2 morse:4 diag:1 section:2 selected:1 expressed:5 find:1 establishes:1 aii:1 increasing:2 consisting:3 compact:1 full:1 degree:1 αij:3 error:5 component:4 here:5 china:3 groups:4 active:9 consideration:1 along:1 change:1 obtained:6 institute:2 studied:3 r2n:1 survey:1 conveniently:1 suitable:2 makes:1 decentralized:2 addresses:1 nearest:1 integrator:1 total:3 univ:1 prove:3 positive:12 contains:2 negative:1 next:3 definiteness:1 therefore:10 vehicle:2 taken:1 type:1 more:1 saber:3 ti:22 βv:1 virtue:1 varying:5 known:7 cases:1 eα:1 evolves:1 springer:1 science:2 work:2 remain:1 obvious:1 mp:21 following:4 strategies:2 trans:4 example:2 proof:3 control:17 beijing:1 lσ:7 give:1 suggestions:1 agent:39 minimum:3 numbers:1 sense:1 times:1 unordered:1 verlag:1 e2t:3 information:9 respective:1 ǫt:8 di:1 formations:2 fpt:3 criterion:1 adjacent:3 instead:1 fp:9 simplicity:1 product:1 algebra:1 may:7 ζi:3 hong:2 connectivity:1 plane:1 law:2 constants:4 introduced:1 dynamical:1 johnson:2 maybe:1 element:1 so:2 keeps:4 every:1 order:1 holds:2 feedback:2 ith:1 developed:1 over:1 move:2 mainly:1 choose:1 murray:6 years:1 stability:1 paper:4 including:3 mentioned:1 still:4 ieee:5 its:17 group:1 thank:1 lm:1 forms:1 absence:1 complex:1 systems:7 lp:11 derivative:1 main:1 maximal:1 eventually:1 them:1 tjd:2 emd:1 propose:3 evolution:1 framework:1 laplacian:10 they:2 eigenvalue:4 february:1 finite:1 always:4 university:1 fσ:2 each:20 found:1 2n:2 mean:1 weighted:3 weight:2 fq:1 contiguous:1 hard:1 idea:1 related:3 extended:3 aim:1 loops:1 laboratory:1 matrix:17 space:1 furthermore:2 since:3 denotes:2 aji:1 max:1 denoted:4 rn:5 induced:2 issue:1 math:1 8k:1 theory:4 diagonal:6 completely:2 formation:1 york:2 µmin:1 estimate:7 e1:4 e3:3 e2:2 βt:4 pairs:1 r2:3 applications:1 iss:1 automatic:5 keep:1 motion:1 length:2 βi:3 first:2 xj:2 xi:8 xn:1 variables:3 number:1 rank:1 done:1 construct:2 directly:3 given:9 rewritten:1 similarly:1 introduction:1 unknown:3 system:16 least:3 their:1 too:1 dwell:1 scheme:3 amss:2 eigenvectors:1 kλi:8 relationship:1 academy:1 continuous:1 authors:1 x3:1 x0:11 x1:3 than:2 effective:1 see:1 submitted:1 xi0:2 future:1 tackled:1 generality:1 unchanged:1 need:2 tτ:1 any:7 viewed:1 acceleration:3 form:5 depending:1 lim:2 lin:9 able:1 note:5 sciences:1 without:1 lip:1 interconnection:18 new:2 µmax:2 concern:1 switching:7 multiple:1 though:4 track:2 who:1 rearrange:1 algebraic:2 involving:1 connected:26 overlapping:1 successive:1 adjacency:1 acknowledgements:1 measured:9 especially:1 mobile:4 average:2 flow:1 vertices:6 km:1 graphs:11 velocity:4 fact:7 labels:1 centralized:1 unconnected:2 networks:2 d1:1 based:12 situations:1 delays:2 distributed:5 lemma:10 only:11 nyquist:1 constant:7 local:6 dn:1 above:1 meanwhile:1 joint:1 cannot:5 words:3 despite:1 during:7 qq:2 qp:7 regarding:3 arxiv:1 x20:1 investigate:1 intervals:6 fixed:4 limitations:1 available:1 set:8 observer:7 depends:3 result:1 subject:1 fails:1 satisfying:2 αt:4 αv:1 definite:8 coordination:3 symmetric:4 state:6 smallest:1 µi:5 closed:1 between:8 invariant:1 c2i:1 approach:3 email:1 godsil:2 savkin:2 however:2 key:2 analyzed:1 autonomous:5 topology:8 both:1 many:2 taking:3 according:1 connection:4 automatica:1 estimation:8 γin:2 otherwise:3 ci:3 cn:4 simple:3 period:1 grants:1 agents:29 path:1 moreover:6 described:1 piecewise:2 addition:2 locally:1 three:1 been:3 interest:1 kronecker:1 ph:1 define:1 2ǫt:1 direction:1 corresponding:4 sufficient:2 r4n:1 gao:2 controller:2 observe:1 coordinated:1 c2:1 c1:1 those:3 applied:1 multi:12 disconnected:1 bσ:9 royle:2 will:5 invoking:1 while:1 suppose:2 aij:8 loop:2 vi:2 formulation:2 thus:3 non:1 vn:1 il:1 2βv:1 tjc:2 different:4 same:1 clearly:1 parts:1 widely:1 gets:1 used:3 i2:9 hand:1 v0:9 v1:1 moment:1 edges:4 infinite:1 changing:5 αtj:1 identity:1 recent:1 relies:1 lower:1 tracking:4 min:2 well:1 analysis:5 edge:2 solve:2 components:2 position:1 model:1 nnsf:1 self:1 αji:1 proposed:5 less:1 being:1 obtain:2 underlying:2 using:1 reviewer:1 λi:4 λn:3 preprint:1 conclusions:1 transformed:1 theorem:3 input:10 take:4 real:1 easily:1 rules:3 possible:2 increases:2 background:1 press:1 integer:1 loss:1 helpful:1 follows:4 signal:2 consensus:8 collect:1 either:2 output:2 works:2 collective:1 because:2 methods:1 deal:1 sequence:2 some:17 nonnegative:1 nonzero:2 specific:1 transactions:1 get:1 kmp:4 leader:41 demonstrated:1 inserting:1 problems:2 2c:2 bi:6 bj:2 constructive:1 bp:6 francis:4 bx:2 properties:1 most:2 theorems:1 l1p:1 neighbor:10 2k:2 block:2 raised:1 own:1 into:1 bound:3 due:1 appropriate:1 square:1 references:1 olfati:3 often:1 topologies:1 there:13 u1:1 quadratic:1 way:2 analyze:1 was:4 function:4 subgraph:3 sequel:1 but:3 hu:2 repeated:1 convergence:2 directed:3 wish:1 us:1 considered:5 un:1 ui:4 problem:13 similar:2 called:4 eigenvector:2 ac:3 associated:9 defined:7 abstract:1 describe:1 denote:10 rule:5 our:3 check:1 defines:1 ni:5 no:2 when:10 reality:1 other:3 conclusion:1 elements:1 vertex:1 robots:1 includes:1 a0:7 important:1 bounded:2 variable:6 generalized:1 implies:4 partitioned:1 assume:6 values:1 interval:5 eαt:1 together:1 4n:1 equivalently:3 4k:1 time:15 starting:1 once:1 |
0705.0404.txt |@word limited:1 haydon:1 four:3 poorly:1 mwa:27 investigation:1 rise:1 school:3 dominate:2 ne2001:2 consistent:1 estimates:7 pulse:119 likely:4 street:1 rigorous:1 estimated:1 even:8 established:1 above:7 new:1 net:9 increasing:2 ever:1 consisting:2 coefficient:1 simultaneously:1 residual:1 here:4 hundreds:1 reported:5 active:1 diagnostic:3 interpret:1 obtained:3 elaborate:1 reports:1 ignoring:1 procedure:9 fourier:2 changes:1 diameter:5 digitally:1 campaign:1 highly:2 brought:1 visible:2 achievable:4 total:7 unit:2 plot:3 would:8 foster:1 therefore:2 m2:2 lwa:1 type:1 until:1 successful:3 excellent:1 ma:3 work:5 theories:1 temperatures:5 ms:2 example:2 relativistic:1 caution:2 feasible:1 end:2 travel:1 how:1 adjacent:1 earlier:3 spectrometer:1 law:7 meaningful:1 attempt:1 third:1 green:1 decreasing:2 order:12 operations:1 over:21 vary:3 before:1 fit:9 pritchard:1 better:2 fig:17 overcome:1 versus:1 eventually:1 them:1 hawthorn:1 combination:5 lambert:2 l157:1 band:4 effects:5 they:3 bank:1 structural:1 represents:1 netherlands:1 brightness:9 reasonably:1 each:8 side:1 mean:4 telescope:5 fairly:3 series:8 extract:1 array:37 content:1 re:2 foundation:1 standard:1 swinburne:6 estimate:14 telescopes:2 enormous:1 recovering:1 days:1 filter:3 ism:11 signature:1 corrections:2 onto:1 features:1 unfilled:1 cognard:2 pulsar:33 top:3 approximately:3 needed:1 observations:28 eqn:1 ranging:1 centered:1 serve:3 western:5 somewhat:1 peculiar:2 distance:8 erickson:1 bits:2 enabled:1 second:2 project:1 timescales:1 extracting:2 spectrum:9 tsky:11 raw:2 manner:3 seem:3 ulmer:1 strength:8 latter:2 data2:1 circles:1 though:2 bruce:1 cordes:22 victoria:1 extending:2 boltzmann:2 microsecond:2 phase:1 acknowledgements:1 observation:5 tsys:8 principle:3 signatures:1 radio:18 earth:3 layout:2 proposed:1 situations:1 delays:2 do:3 tiles:11 dm:6 compounded:1 de:1 yielded:2 despite:5 report:2 ds:1 irregularities:1 sensitivity:32 kolmogorov:2 detection:34 depends:2 result:1 cattle:1 discussions:1 sporadic:1 best:10 subject:1 away:1 µs:21 approach:4 terms:3 wa:1 nature:5 handful:1 however:8 harvard:1 extent:2 wp:3 behaviour:1 ssys:10 uncertainty:1 against:1 receiver:3 contribution:6 presumably:1 perley:1 broadening:22 three:4 been:8 much:12 interest:1 basic:1 expected:11 coherent:5 craft:1 applied:3 near:10 applies:1 aid:1 study:1 characterizing:1 ii:1 conf:1 confirmed:2 perform:2 suggest:2 make:1 complex:3 potentially:9 advances:1 several:5 independent:1 centred:1 interferometers:1 whereby:1 scenario:1 possesses:1 left:2 just:1 bandwidth:6 transforms:1 human:1 campbell:1 scattering:52 candidate:1 spread:1 transformed:2 east:2 baselines:2 l81:1 bands:4 possible:1 l89:1 possibly:2 background:7 unique:1 performing:4 detections:7 steps:2 signal:21 csiro:1 right:3 creek:1 truncated:1 successfully:2 brightest:14 meters:1 shapes:4 bottom:3 haslam:2 contributing:1 meanings:1 powerlaw:1 filaments:1 properties:1 cn2:2 months:1 o:1 plus:1 slightly:1 facility:6 marshall:1 down:3 rendering:1 methods:1 segment:1 support:1 initial:1 width:10 way:1 resulted:1 was:18 synthesis:2 lowest:3 medium:8 form:12 offer:2 forming:1 becoming:1 removes:1 magnitude:8 magellanic:1 tasmania:2 true:1 wτ:3 arrays:1 inside:2 detectability:1 trends:1 unusually:1 panels:4 khz:2 proved:1 computing:1 abstract:1 covers:1 simulations:1 floating:1 distributions:2 check:1 triangles:1 discriminate:1 no:4 underestimate:1 whereas:1 when:8 digital:1 ns:1 models:1 uniformly:2 bietenholz:2 longer:1 assume:1 together:1 time:33 varying:1 leads:2 morphology:3 displaying:1 millisecond:1 inverse:1 depend:1 technique:1 environment:3 summarised:1 dedispersion:7 southwest:1 advantage:1 orthogonal:2 tingay:1 frequencies:38 exact:1 impressive:1 level:2 did:1 turns:2 upper:1 occurrence:1 colin:1 spectral:10 resurgence:1 assistance:1 uniform:2 axial:1 emitters:2 smearing:4 cos2:2 alone:1 along:8 change:2 box:2 institute:2 studied:2 commonly:1 trial:2 usually:1 studies:7 plotted:1 useful:5 convolution:3 marked:1 should:2 wealth:1 positive:1 scenarios:1 australian:6 degrade:2 emitting:1 cases:4 effort:1 originally:1 judd:1 salter:1 values:6 following:2 dedicated:1 figure:2 performed:7 council:1 allowed:1 conversely:1 ramesh:1 divided:1 exceptional:1 tile:8 optimal:1 parameter:3 map:1 influenced:1 may:7 stuart:1 needs:1 produce:1 designed:1 data:45 compatibility:1 man:1 yielding:1 thorne:3 so:4 sm:4 typical:3 wavelengths:1 canberra:2 indeed:3 pointed:2 mainly:1 still:4 observational:1 derive:1 thank:1 sν:2 interesting:2 τd:17 decreases:1 forms:1 offers:2 decreased:1 decades:1 happened:1 non:2 b0540:2 scaling:10 half:3 now:1 discuss:2 matched:3 tera:2 kern:2 realistic:2 bursts:1 entirely:1 eo:3 square:2 significantly:7 populated:1 ed:19 astrophysical:1 assumption:1 shown:7 space:1 furthermore:1 interference:1 increase:7 nominal:9 roger:1 squares:1 shows:4 after:3 romani:1 quite:9 dependencies:1 ord:1 inevitable:1 widths:1 turn:1 first:5 blind:1 symmetry:1 rachel:1 signifies:1 directly:1 comprises:1 ring:1 angular:1 size:1 given:15 indicate:2 draft:2 iau:1 structures:5 configured:1 deg2:1 asymmetric:1 transverse:1 astrophysics:5 than:22 wide:9 deconvolving:1 unfortunately:1 require:1 modelled:1 future:1 were:15 san:1 correction:1 say:1 slab:2 any:5 computationally:2 exploratory:1 efficient:1 note:1 equipment:6 bailes:1 potential:2 take:3 performance:5 channel:3 multiple:2 normal:1 correlation:1 rankin:7 probes:1 latex:1 especially:4 average:8 adopt:1 implications:1 typeset:1 typically:1 slope:1 show:5 merit:2 discovered:1 bright:9 spaces:1 demonstrator:3 encoded:1 threshold:7 specifically:2 ratio:3 only:5 equipped:1 sensitivities:2 expectation:2 ionized:1 nearly:3 geometric:2 yield:1 summary:3 convolve:1 predicted:4 kernel:1 lofar:1 deconvolution:11 maximum:4 us:2 wideband:1 concern:1 detect:1 enough:1 between:2 justified:1 arrival:1 multiplied:1 jy:10 screen:2 jr:1 densely:1 stromlo:1 stages:2 many:1 region:2 quiet:1 enabling:1 jacoby:1 chatterjee:1 kjy:16 nearby:1 among:1 stream:6 characterization:1 overview:1 period:2 spans:1 moreover:1 effective:11 wsrt:2 unusual:1 capable:3 stretch:1 west:3 mark:1 combined:1 prototype:7 enable:1 observe:1 coherently:2 baseband:1 careful:1 former:1 those:6 case:10 promising:4 zenith:5 coupled:1 characteristics:1 discrepancy:1 middle:4 technology:2 different:8 same:1 epoch:2 arguments:1 streams:3 events:1 week:1 extended:1 drives:1 driven:1 changing:1 discernable:1 relies:1 largely:6 polarisation:3 roughly:4 severe:3 without:2 very:3 model:8 being:1 valuable:1 aspect:1 summed:2 incurring:1 sampled:2 reprocessed:1 except:1 peak:13 improvement:3 instrument:7 perth:1 treatment:1 samples:6 briggs:2 haystack:3 real:2 aspects:1 around:3 early:6 department:1 atca:3 psr:1 world:1 accepted:1 correcting:2 identifying:2 either:2 occasions:1 served:1 dilution:1 reduced:3 duration:6 provided:1 confirm:3 recorded:5 thorsett:1 restoring:2 tdm:1 equivalent:5 evolve:1 ratios:1 exciting:2 emulateapj:1 central:1 discussed:1 factors:5 tremendous:1 act:2 johnston:2 cambridge:2 instruments:4 accounts:1 determine:1 theoretically:1 fast:5 area:4 there:1 grange:1 detectable:11 low:36 mnras:4 applying:1 pulsars:9 ωa:2 multipath:2 taylor:3 certain:1 aj:2 resultant:1 examine:3 beaming:1 ideally:1 antenna:6 storage:1 field:8 mathematics:1 durations:1 hankins:12 important:3 massachusetts:2 coverage:1 resolution:16 original:1 scn:1 dedispersed:8 gupta:1 splitting:1 dish:1 follow:6 disk:1 subjected:3 tail:2 program:2 present:1 tb:2 activities:2 amplitudes:10 far:3 supercomputer:3 arecibo:4 lazio:6 large:16 pbf:15 small:3 tem:1 past:2 rate:1 design:4 enhancement:2 pass:1 further:10 what:1 sub:5 version:2 avenues:1 method:2 full:21 hours:3 operating:2 strong:4 observing:7 arena:1 search:8 losses:1 allows:1 prior:2 amount:1 eilek:1 published:2 narrow:1 proxy:1 vic:1 via:3 marginal:1 transit:2 detecting:3 conventional:2 moffett:4 finally:1 more:16 company:1 emission:20 instrumental:3 impulse:1 particular:2 known:9 none:1 hour:1 science:9 equation:1 det:2 remain:2 minimum:1 numbers:2 exclude:1 g2:3 information:3 respective:1 rather:4 zhang:1 simplicity:1 fr:2 galactic:3 derived:5 faculty:1 response:5 short:6 negligibly:1 spectra:1 departure:1 perhaps:2 extrapolation:1 negligible:1 microseconds:1 turnover:2 rounded:1 september:1 developed:3 argyle:2 fν:3 distortion:1 paper:1 through:2 filters:1 concentric:1 its:10 style:1 energies:6 coarser:1 detected:14 systems:1 finer:1 good:1 severely:1 anticipated:1 units:4 curtin:2 easily:3 hereafter:1 fully:1 presented:1 capability:2 inherent:1 referred:1 generation:2 energy:10 expect:2 measurement:3 stoffel:1 operation:2 beyond:2 dominates:2 since:1 projected:1 research:3 dominated:4 offline:1 asp:1 ast:1 favored:1 backer:3 paucity:1 reason:1 imaging:2 randall:1 unresolved:1 conducted:1 major:2 probability:1 number:6 bhat:14 done:1 construct:2 fluxes:2 differ:1 gpo:1 temperature:18 introduction:1 leading:1 least:2 obtainable:1 ionospheric:1 station:1 calculations:4 scheme:3 jamie:1 part:3 authors:1 brightnesses:1 believe:1 albeit:1 mclaughlin:3 observatory:2 critically:1 recording:2 determined:4 toward:1 treated:2 headings:1 orders:7 wilson:1 built:1 depending:2 frail:1 towards:4 measures:1 reach:2 most:6 significant:7 extremely:1 kb:4 clear:1 broadened:1 km:5 traditional:1 clean:5 physics:4 wavenumber:2 particularly:1 phenomenon:2 filterbank:7 relation:5 dilation:1 impact:1 indicator:1 parameters:4 distributed:8 colloq:1 factor:14 dominant:1 dependent:3 during:1 progressive:2 arxiv:1 bytes:3 stored:1 rfi:2 set:4 ser:1 achieved:1 see:4 individual:6 domain:2 close:1 embarking:1 analog:1 preparation:2 learnt:1 positivity:2 currently:1 dipole:1 various:1 probably:2 transfered:1 recently:1 complement:1 poorer:1 both:5 prospects:11 last:1 mega:1 sensitive:3 reside:4 point:2 simple:7 smith:1 corresponds:6 coincidence:1 simply:2 weatherall:1 described:7 quantisation:1 due:14 pc:3 reduction:1 coarse:2 ph:2 po:1 partly:1 gas:1 intriguing:1 exponential:2 solid:3 reliable:2 empirical:1 while:13 guide:1 hajian:1 itself:4 nanosecond:4 shorter:2 higher:12 development:1 used:8 sys:1 levels:2 uses:2 purpose:1 aggregate:1 robust:1 recent:7 lower:5 analysis:6 comprise:1 distances:3 nanoseconds:1 shape:10 using:17 conclusions:1 signals:6 source:1 input:2 remaining:1 discriminators:1 australia:13 format:2 quest:1 imposed:1 success:1 interestingly:2 disks:1 separately:1 flux:12 yields:4 translated:1 pertaining:1 often:1 some:10 back:1 understood:1 strongest:1 sight:6 pronounced:2 scale:1 broadband:2 measurements:15 per:2 sallmen:6 radiometer:1 processing:13 agreement:1 step:1 output:2 plots:4 dictated:1 melbourne:2 range:13 transients:5 consequently:1 computational:2 into:6 within:6 kassim:1 appropriate:1 primarily:1 nsw:1 realisation:1 statistics:3 measured:19 long:3 translate:1 sections:1 opens:1 filamentary:1 line:8 deployed:1 consist:1 characteristic:4 up:2 barring:1 fluctuations:1 similar:13 called:1 constant:2 worthwhile:1 defined:2 influence:2 single:5 graham:1 steeper:2 psrs:1 shallower:1 nice:1 elements:1 energetic:2 sided:1 problems:1 generated:1 gower:2 structure:4 tailored:1 algorithm:2 depth:1 implied:8 requires:1 results:8 existing:2 edu:1 contributions:1 compact:1 young:1 intensive:2 subband:1 dramatically:2 resources:1 garden:1 g1:3 metrewave:1 continues:1 electron:2 frequencydependent:1 entire:2 incoherent:2 knight:2 underscores:1 strongly:3 smaller:5 za:6 imply:2 camilo:1 incidentally:1 ohmer:2 index:5 power:8 expressed:2 access:1 led:1 degree:2 respectively:3 giant:93 growing:1 objects:1 focused:1 hobart:1 consideration:2 extreme:1 technical:1 involved:2 larger:10 suggests:2 resulting:1 makes:1 explain:1 involves:1 lorimer:2 scales:1 sgp:5 apj:18 decrease:2 anomalies:1 summation:2 resolutions:3 cloud:1 superpositions:1 usa:3 remains:1 process:3 crab:46 panel:4 becomes:7 transient:2 sharply:1 iii:3 reconstructed:2 account:2 thin:3 weaker:1 calculation:1 epping:1 high:5 effectively:2 streamer:1 triangle:1 optimised:1 delay:2 located:1 varies:2 profile:1 collection:1 fits:1 degradation:3 realized:1 westerbork:1 b1937:2 light:1 correspond:1 lundgren:4 allow:1 subsequently:2 discussion:1 astronomical:1 interpreted:1 symbols:3 pulses:53 glen:1 outer:1 hobbs:2 degrees:1 aeff:4 freeman:1 greater:1 polarizations:4 material:9 interstellar:4 subtraction:1 february:2 university:10 kpc:10 mode:2 references:1 promises:1 lfd:26 related:2 frequency:48 interplay:1 measure:6 our:58 out:11 matz:1 performs:1 integrated:3 frank:1 tied:1 dmax:4 teoh:1 bowman:6 geometry:3 determining:1 route:1 times:11 hence:2 south:1 powerful:1 precisely:1 quality:1 dispersive:5 dispersion:10 subbands:1 extrinsic:1 system:75 adopted:1 their:8 nebular:11 shallow:1 observed:6 limiting:1 amplitude:15 exp:3 function:12 curves:2 supercomputing:3 ghz:5 dictate:1 need:2 clearly:2 angle:4 dishes:1 min:1 mid:1 mechanism:2 polarization:1 instance:2 mit:4 centre:1 preliminary:1 intrinsic:8 volume:3 mjy:2 fact:5 goals:1 parkes:1 ωcn:2 characterisation:1 supported:2 manchester:5 rough:1 based:7 operational:2 brighter:4 employed:2 means:4 quantified:1 beam:8 words:1 richards:1 procedures:3 areas:1 evolution:3 densities:3 comprising:1 deconvolved:3 processed:1 view:3 intervening:3 constructing:1 national:6 operates:1 intensity:1 closer:1 exploited:1 record:1 pattern:3 nebula:24 superb:1 written:3 phased:12 comparable:4 emitted:2 problem:1 david:2 limits:2 taking:1 attributed:2 figures:2 kavli:1 detailed:3 relevant:1 cm:3 ca:1 addition:4 coherence:1 essentially:1 binning:1 scrutiny:1 bulk:3 angles:2 improved:2 general:5 gmrt:1 associated:1 multi:1 unlike:1 harder:1 value:7 will:26 almost:1 thus:17 site:1 hardware:2 vs:1 dual:1 ave:1 capture:1 generic:1 parts:1 largest:1 lengthening:1 infer:1 difficult:1 practice:1 http:1 effect:1 spurious:2 infinite:2 center:2 calibration:4 well:6 heavily:1 increasingly:1 kramer:1 obtain:2 sources:2 underlying:2 distant:1 voltage:4 preprint:1 density:9 sky:10 capabilities:4 mitra:1 resolved:4 increased:2 government:1 smithsonian:1 increases:1 deployment:7 turbulence:1 prominent:1 like:7 excluding:1 popov:8 mhz:69 become:1 accessible:1 exceed:2 because:3 searching:1 broad:1 avoid:1 does:2 dipoles:3 assuming:11 limitations:2 noise:15 variation:1 although:6 simpler:1 about:1 carried:2 dependence:2 widefield:3 software:6 functional:2 assess:3 multifrequency:1 gleaned:1 additional:1 smoothing:3 naturally:2 synchrotron:1 williamson:3 north:1 hr:5 brand:1 but:6 astro:2 repeated:1 gain:14 made:9 compute:1 evident:3 lyne:6 variations:1 rickett:6 below:2 converted:1 limit:1 distribution:11 minutes:1 bandpass:1 denote:2 weston:1 lobes:1 goodness:1 wavelength:2 ing:1 trailing:1 compared:4 variety:2 other:6 details:3 francisco:1 inherently:1 astronomy:5 4t:1 npol:3 inset:1 |
0705.0405.txt |@word consider:2 chain:2 nualart:1 brownian:3 results:5 proposition:2 edu:1 skeleton:5 compact:5 whose:1 depend:1 calculate:1 ℜd:30 under:2 stochastic:16 include:1 norm:2 case:2 random:4 zhang:2 kψ:9 probability:3 60j60:1 every:1 condition:2 solves:3 level:1 solution:22 large:20 solved:1 small:1 noted:1 upper:2 zn:4 semicontinuous:1 measurable:2 approximation:5 fold:1 second:4 sznitman:2 zt:5 zs:52 putting:2 established:1 section:8 uniform:2 annals:1 sup:56 new:2 satisfy:7 respectively:2 here:3 china:1 2kn:8 strong:2 equations:15 εn:1 change:1 contraction:4 obtained:1 study:2 vectors:1 step:1 via:2 family:3 claim:2 σst:3 total:2 establish:1 unit:1 derivatives:1 reflected:1 would:1 prove:13 remains:1 positive:4 lipschitzian:1 uniqueness:4 next:3 dnt:4 ψi:3 m1:3 therefore:8 dns:2 m2:3 associated:1 msc:1 more:1 initial:11 cases:1 iii:1 springer:2 valued:1 recall:1 equation:10 work:2 mt:20 values:2 ms:56 lipschitz:4 following:18 making:1 hiroshima:1 proof:23 f0:1 beijing:1 give:2 process:1 organized:1 lψ:2 assumptions:1 degenerate:3 sense:1 verlag:1 end:1 goal:1 holds:5 regions:1 maps:1 pure:1 deuschel:1 map:1 ft:2 may:3 max:3 consequence:1 fj:2 data:2 constants:6 2l2:2 dynamical:1 third:3 lemmas:1 xsε:4 explicit:1 hypotheses:1 lε:10 so:15 representation:1 order:1 nsfc:2 εc1:1 mainly:1 satisfied:2 paper:4 da1:1 motions:1 y1:5 existence:6 satisfies:9 y2:5 vari:1 its:3 before:1 αc0:1 thank:1 ln:7 estimating:1 lt:1 ls:1 main:5 lx:2 yi:1 eme:1 non:3 good:7 yn:21 noticing:2 introduce:1 anticipated:5 yx:4 tsinghua:2 das:4 ys:6 now:4 fields:1 2t:2 term:1 2p:2 2r:2 2s:1 university:1 rocs:2 2e:2 inequality:3 60h10:1 each:2 2n:23 subset:1 domain:3 arxiv:3 financial:1 doing:1 principles:7 related:2 ball:1 measure:2 our:1 eq:13 deals:1 space:1 itˆo:1 since:14 denotes:10 replacing:1 formula:2 get:4 math:6 theory:2 little:1 8d:3 completely:1 york:2 region:1 estimate:1 e1:22 e2:11 definition:1 applications:3 omit:2 david:1 motion:2 turn:2 hence:4 probab:1 first:10 xi:2 xn:3 malliavin:2 primary:1 done:1 another:1 xs:40 precisely:1 open:9 xt:37 ka:9 given:3 perturbation:1 similarly:2 introduction:1 xii:1 their:2 1c:1 appl:2 fn:26 stroock:1 convention:2 way:4 continuous:5 proving:4 direct:1 reflecting:7 somewhat:1 authors:2 x0:24 x1:1 coefficients:1 diffusion:1 rate:11 were:1 w2:5 topics:1 need:2 any:27 depending:3 lim:43 able:1 converges:2 sciences:1 k1:5 k0:2 generalized:2 εb:2 calculus:1 trace:13 normal:1 sequence:2 systems:1 letter:1 tanaka:2 acknowledgements:1 class:1 xtε:20 ki:1 countably:1 kn:9 principle:8 exp:16 kt:3 usual:1 probl:1 supported:2 solutions:4 keywords:1 dbs:8 tend:2 trivial:1 find:2 finally:2 state:1 should:1 lemma:12 only:5 60f10:1 local:1 2ms:2 dk:1 means:1 df:9 de:1 dbt:2 expectation:1 unimportant:1 words:2 dt:10 ds:75 secondary:1 closure:1 processes:4 conditions:19 differential:9 remove:1 set:20 exists:7 j4:2 j5:2 j6:2 j1:2 j2:2 j3:2 see:5 radius:1 result:6 w1:5 y0:33 terms:1 sem:2 outward:1 techniques:1 satisfying:3 fatou:1 definite:1 λn:1 enough:1 closed:6 boundary:7 approach:1 email:1 recently:1 transpose:1 however:1 wi:2 comm:1 ji:1 restrictions:1 last:2 dks:1 many:1 taking:3 dkn:1 adapted:4 otherwise:1 cn:1 cb:1 ce:1 dimensional:2 moreover:1 throughout:1 pr:1 pp:1 basis:1 due:1 been:2 defined:5 define:12 θn:1 both:2 c2:9 c1:7 c0:18 p2:2 p3:2 multi:1 p1:2 exponential:2 value:1 will:6 replaced:2 stopping:2 dembo:1 procedure:1 studied:1 lx0:1 thus:7 4c0:1 ii:2 regularity:1 cone:1 different:1 φt:31 author:4 make:1 same:5 proved:3 composition:2 φn:37 used:1 skorohod:5 ni:1 i1:9 i2:2 dai:2 driven:1 σs:13 purpose:2 lxn:4 i2x:8 i2y:11 lower:3 reflection:6 well:2 analysis:1 academic:1 σt:5 epa:2 sdes:1 just:1 heavily:1 being:2 obtain:3 db:1 press:1 shape:1 immediately:1 multidimensional:3 letting:6 generous:1 k2:6 setting:1 theorem:36 euler:3 know:4 isbn:3 21n:7 using:17 unique:3 like:1 follows:1 integrals:1 arbitrary:2 δf:2 mathematical:2 because:5 people:1 some:11 deduce:5 b1:3 choosing:1 respect:1 proofs:1 2c0:3 ddt:6 l2:16 bn:5 2c:2 bt:7 bv:3 bs:4 approximating:1 cε:1 a1:2 srf:2 cn1:1 theorems:1 o:73 orey:2 consequently:2 22n:1 perturbed:1 contractions:1 integral:1 bound:4 nagoya:1 pair:2 references:1 log:31 support:1 there:9 anderson:2 noting:1 lions:2 liang:4 zeitouni:1 sections:1 function:16 gronwall:4 complete:8 hs:4 deviations:14 sde:8 line:1 ωx:1 mts:5 sups:1 smooth:5 mtt:2 ωi:11 problem:2 similar:1 called:1 uc:5 detailed:1 constant:6 ai:4 abstract:1 convex:1 denote:2 exist:1 rule:2 corresponding:7 inf:35 check:1 inc:1 again:1 functions:7 anticipating:2 when:1 other:5 republic:1 spatial:1 department:1 ns:14 nt:13 deviation:5 abbreviated:1 uniformly:6 variation:5 cb2:3 a3:1 a2:1 bounded:19 variable:3 sides:1 kx:6 implies:7 assume:12 interval:1 4s:2 together:4 time:3 n2:1 |
0705.0406.txt |@word vila:1 sci:1 consider:6 maximum:1 miyajima:1 magnetic:25 dynamic:11 focus:2 leads:1 scalar:3 grateful:1 go:1 expressions:2 disk:1 llg:4 layers:3 inverse:1 depend:1 wyder:1 description:3 switched:1 γk:12 finally:2 critical:1 stable:8 applied:1 supported:2 zhang:1 very:3 emphasizes:1 results:2 electron:2 putting:1 experimentally:2 difference:1 condition:1 four:4 anisotropy:16 solution:2 large:8 discrete:1 vector:6 harry:1 small:14 barbara:1 equation:10 configurations:6 hysteretic:1 smaller:2 estimates:1 approximation:8 second:7 ms1:1 equal:1 further:2 dynamics:5 even:2 index:1 nano:5 sun:1 axes:1 while:3 expressed:2 thickness:1 current:24 goes:2 lifshitz:1 new:2 increasing:1 full:1 ǫu:1 never:2 residual:2 here:6 magnetism:2 tangent:3 cos2:1 concluding:1 ratio:1 along:5 strong:4 equations:11 search:1 study:2 larger:7 allows:1 products:2 stiffness:1 usually:2 hospitality:1 specialize:1 makes:2 diameter:1 spatially:1 projection:1 explained:1 polarizers:2 decrease:1 summation:1 apply:1 unit:4 wang:2 use:2 charge:1 waintal:1 remains:1 positive:2 eφ:14 negative:5 next:2 program:1 msi:3 memory:3 taken:1 parkin:1 type:1 more:1 separated:1 hoffmann:1 gyromagnetic:1 spacers:1 becomes:1 under:1 validity:1 appendix:4 eθ:12 particular:1 known:2 cases:2 iii:1 states:7 account:2 stabilized:3 ibm:2 science:1 torques:5 work:2 oscillator:2 modified:1 mk:1 oleg:2 remain:3 values:6 thin:2 ms:18 already:1 making:2 anisotropies:1 my:1 example:3 numbers:1 δθj:6 δθi:4 do:1 process:1 expanding:1 neglected:1 pieces:8 topic:1 effectively:1 minimum:3 performed:1 magnitudes:1 times:1 axis:7 creates:2 buhrman:3 antiparallel:9 means:1 xˆ:1 arrangement:1 regions:3 how:3 tatara:1 behave:1 absolute:1 parameter:2 sin:30 product:1 mat:1 flip:1 may:1 after:1 derived:1 produce:2 parallel:10 realized:3 jiang:1 effective:6 seck:1 switch:1 so:1 allow:1 fan:2 order:1 typical:2 operations:1 produces:1 developed:1 pointed:2 eqs:1 vary:1 stability:7 paper:1 through:4 2v:1 signs:1 japan:1 satisfies:1 still:1 its:1 derive:2 thank:1 energies:2 vicinity:1 decreases:2 writing:1 absence:3 according:1 systems:4 derivative:1 maximal:1 non:3 affected:1 ya:4 material:2 landau:1 walls:1 bischof:1 effects:2 identically:1 rotation:2 now:3 discuss:1 represents:1 term:4 gets:3 overdamped:12 university:1 cell:1 events:1 magnitude:2 2a:2 2b:1 each:7 found:2 side:2 domain:2 energy:9 silva:1 related:1 bland:1 tserkovnyak:2 literature:2 static:6 magnets:13 our:1 operation:2 eq:11 er:16 magnet:10 shown:4 opened:1 space:1 rep:1 since:3 rev:11 research:1 rudiger:1 dominated:1 formula:1 induced:4 ref:2 occurs:1 shows:3 bass:1 interactions:2 inapplicable:1 free:5 standard:1 completely:1 proportionality:1 jones1:1 estimate:2 hysteresis:1 finite:1 starts:1 transition:7 v2:1 linearized:2 motion:7 turn:1 plane:29 u21:2 assumed:2 louie:1 neglect:1 first:5 note:1 ono:1 number:1 equilibria:6 restrict:1 simplified:1 directly:3 nanopillar:1 ξji:2 electronic:1 halperin:1 size:4 given:5 checked:1 introduction:1 top:1 system:8 linearizing:2 1a:4 their:3 returns:1 1b:1 tom:1 gilbert:4 structures:2 recovered:2 gives:3 sin2:1 continuous:1 serve:1 lower:2 immediate:1 part:3 focusing:1 kept:1 july:1 than:3 cheng:1 relative:1 polarized:1 approximations:1 see:3 collinear:2 polarizer:17 bauer:7 solely:1 sankey:1 exhibit:1 san:1 torque:4 slonczewski:3 mater:2 tchernyshyov:1 jaccard:1 saw:1 any:1 viewed:1 relatively:2 angle:3 built:1 polarization:1 schematically:1 switching:10 transistor:1 electric:5 opposite:1 albert:1 simplify:1 experiences:1 fore:1 significant:1 definitions:3 device:11 acknowledgements:1 deviations:1 metal:1 points:2 electrons:2 artificially:1 exp:2 chiang:1 normally:1 lying:1 thomas:1 shou:1 show:2 random:1 kitp:1 solutions:1 threshold:1 uniform:1 find:1 access:1 based:1 parameters:5 enough:2 moments:1 only:4 moriya:1 indeed:1 achieve:1 equilibrium:8 2ms:4 above:1 get:5 overall:1 cannot:1 nearly:1 during:2 dt:3 evolution:2 precession:6 δφi:1 arxiv:1 europhys:1 predicted:1 contain:1 fixed:3 setup:1 achieved:3 spintronic:1 observed:2 depends:2 sec:1 us:1 discussions:1 close:1 acquires:1 saitoh:1 ralph:4 weinan:1 state:18 between:6 αi:4 boundary:3 terms:10 nature:3 initially:3 flow:2 analyzer:7 however:1 magn:4 ansermet:1 configuration:3 brataas:4 both:8 cos:22 mono:1 taking:1 conclusions:2 asymmetry:6 against:1 agree:1 sensitive:1 dated:1 logic:1 whole:1 finds:1 experimental:1 otherwise:1 point:3 simple:1 ca:1 bazaliy:3 destabilizes:1 anti:1 coordinates:1 consideration:1 moreover:1 undergraduate:1 considering:1 phy99:1 described:3 simplification:1 due:2 reduction:1 much:3 damping:6 azimuthal:1 ph:2 u12:2 pn:1 fig:12 θj:8 direction:10 θi:4 wish:1 hayashi:1 eigenfrequencies:3 angles:9 θs:7 general:1 spin:34 ill:1 case:11 pacs:1 expanded:1 single:1 value:1 will:6 near:3 abrupt:1 behavior:4 many:1 situation:1 region:3 layer:4 vectors:4 refs:1 thus:2 iv:2 ii:1 cond:1 contract:1 discarded:2 currents:1 grown:1 different:4 φs:4 grant:1 lett:7 same:5 underdamped:1 φi:11 φj:8 several:3 grows:2 windmill:5 independent:1 used:2 slave:2 effect:3 hand:4 v1:1 moment:1 moving:1 appreciable:1 student:1 deflects:1 linearize:2 myers:3 off:1 center:1 studies:1 well:3 cervera:1 obviously:1 without:5 uji:3 sets:1 kelly:2 position:1 model:1 left:3 magnetization:15 less:2 being:3 shape:3 useful:1 ithaca:1 jose:1 candidate:1 ny:1 cornell:1 conclude:1 mathematically:1 pillars:1 source:1 transformed:1 treatment:1 easy:24 identical:2 saturation:1 brouwer:1 nazarov:1 possible:2 corresponds:2 smallness:2 using:2 mod:1 sizes:1 pillar:1 disks:1 serves:2 δn:1 unstable:4 either:2 arbitrary:3 become:2 δe:1 reasonably:1 therein:1 right:1 often:1 sequences:1 some:4 back:1 examples:2 respect:4 yamaoka:1 happens:2 specific:1 describing:1 ums:1 investigations:1 extensively:1 instantaneous:1 does:3 provides:1 assuming:1 kiselev:1 rettner:1 limitations:1 internship:1 equivalent:1 l1:1 perpendicular:5 substituted:1 santa:1 renders:1 comparison:1 about:1 actual:1 saddle:1 discussed:3 o:2 reduced:2 range:1 consequently:2 road:1 a4:2 berger:2 presence:7 into:7 within:1 rotations:1 nsf:1 down:1 remarks:1 inapplicability:1 references:1 proportional:1 additional:1 switches:1 transfer:27 support:1 there:3 long:1 vaz:1 appl:5 was:4 katine:2 function:1 tsoi:2 faini:1 form:5 simplifications:1 but:6 volume:1 illuminating:1 directed:2 circuits:1 mtrl:1 ωt:2 devices:6 below:2 frequency:1 limit:3 schoelkopf:1 piece:2 similar:1 called:1 regimes:1 interval:1 constant:6 up:1 defined:2 certain:1 influence:1 covers:1 denote:1 conserved:1 exist:1 approximated:1 film:2 regime:7 again:2 compared:1 krivorotov:1 no:7 when:11 vanishes:2 planar:7 field:1 other:6 department:1 out:4 deviation:2 polar:7 αef:1 variation:4 a1:1 a3:3 a2:1 a5:2 allowing:1 studied:2 linearization:2 sides:2 jones:1 assume:4 physics:1 required:1 governed:2 implied:1 mass:1 fact:1 volumes:1 time:3 jansen:1 requires:1 once:1 |
0705.0408.txt |@word replacing:1 argyres:1 consider:3 illustrates:1 lack:1 results:2 integration:1 four:1 roy:1 landsberg:1 edu:2 go:1 gn:3 minuscule:1 reasoning:1 issues:1 seemed:1 whose:1 certainly:2 simon:2 referring:1 collisions:8 equivalence:1 send:1 charge:7 th:2 exposition:1 analogous:1 presentation:1 worth:1 straightforward:1 orthogonal:2 very:13 wave:32 difference:1 exact:2 condition:1 giddings:3 shock:37 solution:6 ds24:1 large:5 progress:1 small:5 inertial:2 jhep:1 smaller:6 force:2 thin:1 braneworld:2 consistent:1 parameterization:1 estimates:2 discover:1 approximation:4 zero:2 pass:1 qualitatively:2 tev:1 even:1 gnb:1 what:3 nonlinear:3 sub:2 clock:1 giving:1 section:6 while:2 goes:1 new:3 boost:4 shocks:1 focuses:1 led:2 component:2 here:3 sewn:1 focused:2 compressed:1 separation:3 directions:2 path:1 along:5 change:1 extreme:1 great:1 exemplified:1 ahead:1 involved:1 elaborate:1 amount:1 poisson:1 g2n:1 formation:16 specialize:1 spacetime:1 examining:1 technique:1 useful:1 highly:4 pulls:1 total:1 planck:1 use:6 takes:1 would:3 remains:1 finally:1 intense:1 m4:4 nucl:2 noting:2 therefore:1 criteria:1 planckian:2 until:1 more:4 flat:1 israel:1 holy:1 neglected:1 lightcone:1 award:1 payne:1 interaction:2 particular:1 known:1 hole:27 hold:1 must:6 account:1 crosses:1 mm:1 eath:1 equation:1 work:3 remain:2 vega:1 codimension:1 trans:3 compare:1 figure:1 give:1 process:3 relativistic:2 organized:1 high:5 collision:20 lorentz:3 pulling:1 refine:1 conversely:1 occur:1 axis:1 information:1 needs:1 end:2 turn:1 means:2 regions:1 how:5 instead:2 parameter:12 vf2:3 massive:2 profile:2 description:3 may:6 after:13 dx2:1 impulsive:2 davis:1 plane:5 waves:2 choice:1 parallel:1 lhc:2 whenever:3 light:3 lines:4 correspond:1 switch:1 so:9 fundamental:2 banks:1 order:7 typical:1 interpretation:1 indeed:2 move:3 years:1 held:1 experiments:2 through:3 looks:2 argued:2 existence:2 satisfies:1 still:3 its:8 boosts:1 before:6 write:1 rapidly:3 thank:1 voloshin:2 decay:1 energies:1 interesting:3 masses:1 relativity:1 τb:1 coordinates:3 forms:2 attraction:1 production:2 fig:1 kaloper:3 travelling:2 main:1 might:4 spreading:1 maximal:1 them:1 junction:1 greater:1 anchored:2 practice:1 introduce:1 scaling:1 cutting:1 effects:4 they:6 inception:1 now:6 fg03:1 easily:1 always:3 university:1 advent:1 2d:1 sufficiently:1 2f:1 each:3 crossing:3 found:1 entirely:1 energy:4 related:1 mm2:1 derivations:1 terning:2 expect:1 quantum:2 our:10 happen:2 beyond:2 extract:1 orient:1 really:2 shown:1 space:2 erratumibid:1 since:7 rev:7 research:2 particles:15 attracted:2 rel:2 rh:7 correct:1 shows:1 inevitably:1 disputed:1 theory:1 ucdavis:2 interactions:1 discontinuity:1 possibility:1 standard:1 difficulty:1 completely:1 california:1 boosting:2 estimate:4 likelihood:1 inevitable:1 milestones:1 hamed:1 starts:1 could:3 similarly:1 moment:3 linearized:1 motion:5 thing:1 pasting:1 place:1 exponentially:1 projectile:15 corrections:3 onto:1 neglect:1 speeds:1 first:3 origin:1 sanchez:1 approximations:1 feel:1 dimopoulos:3 intuitively:1 fast:5 directly:1 between:6 spread:1 passes:2 given:3 perturbation:1 checked:1 observer:1 their:1 leading:2 interact:1 behaves:1 indicate:1 calculations:1 dt2:1 travelled:1 john:2 final:2 excellent:1 lot:1 trapped:5 schwarzschild:3 patches:1 exactly:1 park:1 direct:2 part:3 x2:1 chasing:2 than:6 center:6 distance:6 kind:1 target:23 penrose:1 sections:1 require:1 future:1 were:2 arduous:1 rh2:1 argument:7 say:1 alike:1 further:1 need:2 null:4 clearly:1 angle:4 newtonian:1 gravity:5 note:1 extracted:1 potential:2 horowitz:1 take:2 timelike:1 forming:1 towards:3 unless:2 electric:3 reach:1 most:3 experiences:1 nothing:2 colliding:1 transverse:7 extremely:1 why:2 don:1 surprising:1 clear:1 phil:1 stronger:1 doe:1 ferrari:1 principle:1 subsequent:1 velocity:10 left:1 physics:3 thomas:1 signatures:2 supported:2 scattered:2 tenet:1 solutions:3 substituting:1 find:4 impact:15 slow:4 based:1 parameters:3 should:2 going:1 black:32 geodesics:2 originally:1 nonzero:1 local:2 do:3 get:2 syst:1 de:4 imparted:1 monde:1 cannot:1 dz:3 words:1 dy:2 dv:2 dt:3 du:3 gen:2 eme:1 gray:1 processes:2 heaviside:1 fields:3 arxiv:1 veneziano:1 grav:3 fixed:2 inside:1 reveals:1 set:4 computed:2 reference:1 imposing:2 frame:13 lett:6 up:3 relative:3 see:7 radius:4 result:1 discussions:1 close:3 forthcoming:1 surfaces:2 exponent:1 scattering:6 away:6 aberration:1 justifies:1 jt:1 enough:2 won:1 chosen:1 simplest:1 limit:6 justified:2 encounters:1 hence:2 recently:1 extend:1 nature:1 initially:1 sexl:1 attention:1 however:5 efficiency:1 incident:1 suppressed:2 prospects:1 instant:1 freely:1 region:1 according:1 against:1 sensitive:1 instanton:1 grail:1 expression:1 experimental:1 among:1 relevant:1 point:1 simple:4 ca:1 dimensional:1 invariant:1 cancel:1 moreover:1 trust:2 branes:1 considering:1 collider:1 trajectory:5 due:3 been:2 much:2 slowly:7 hawking:1 ph:1 treatment:1 direction:9 arises:1 occurs:1 precision:2 observers:1 rekindled:1 dramatic:2 wake:1 doubts:1 emparan:1 resultant:1 irrelevant:1 case:4 exponential:1 value:2 will:19 euclidean:1 near:2 situation:1 taking:1 vf:6 almost:4 metric:7 thus:4 vm:1 surface:5 encountered:1 vt:1 mp:1 vy:2 vz:2 vy2:1 capture:4 different:2 russell:1 grant:1 perhaps:1 began:1 radiation:1 cross:10 any:1 quant:1 units:1 higher:1 used:2 infinity:1 boosted:7 trajectories:2 deflect:1 hand:1 action:1 v2:6 moving:13 unpublished:1 infinite:3 break:1 myers:1 off:3 whereby:1 fully:1 charges:1 analysis:1 solve:1 comes:1 corporation:1 coordinate:4 paradigm:1 2gn:1 charged:3 bending:1 distances:2 just:1 being:2 captures:1 observed:1 newton:1 obtain:1 rest:14 front:4 farther:1 minimized:1 speed:4 yet:1 unable:1 instance:1 conclude:1 except:1 source:6 priori:1 transformed:1 location:2 easy:1 transformation:1 momentum:2 generalized:1 real:1 march:1 around:2 rules:1 breaks:1 spatial:2 possible:2 quest:1 know:1 vacuum:1 confined:2 using:2 8πg:1 occurring:1 acute:1 necessary:1 like:3 particle:37 m42:2 reduces:1 velocities:4 accelerating:1 noted:1 continue:1 yields:2 arbitrary:1 setups:1 experimentalists:1 stationary:1 essential:1 because:6 theorists:1 deal:1 luminal:1 phenomena:1 pierre:2 deflection:3 deduce:2 m44:2 b2:3 escape:6 proper:3 neglecting:1 happens:3 scale:2 dvali:1 dimensions:2 synchronize:1 electromagnetic:1 exceeding:1 instantaneous:3 does:1 πmp:3 innovation:1 minimal:1 post:4 elucidate:1 obscures:1 expansion:1 step:1 although:1 analyses:2 kinder:1 stage:1 comparison:1 about:1 central:1 carried:1 simplify:1 fischler:1 ensure:1 horizon:8 vz2:1 slightly:1 seeing:1 soc:1 own:1 into:1 within:2 down:4 right:1 references:1 tiny:1 proportional:1 next:3 inertially:1 hep:2 classical:5 area:7 assumed:1 support:1 initial:4 approximate:1 long:3 class:1 occupy:1 low:1 way:2 hooft:2 was:5 function:1 head:1 form:8 some:5 but:3 properly:1 hopes:1 line:1 nutshell:1 pull:1 marquis:2 minkowski:2 gravitational:17 strongest:1 us:2 exploration:1 problem:1 laplace:4 examples:1 strongly:4 constant:2 ln:1 defined:1 abstract:1 describe:1 moved:1 covers:1 general:1 exist:1 moves:4 check:1 physical:2 again:1 nk:2 no:2 eq:5 when:16 field:24 other:7 details:1 papers:1 department:1 out:2 aichelburg:1 picture:1 denote:1 completes:1 dray:2 lens:1 retardation:1 suppression:1 searches:1 arkani:1 faster:1 coulomb:1 practically:1 eardley:2 holes:6 together:1 mass:9 time:5 far:3 4d:3 original:2 |
0705.0409.txt |@word vila:1 consider:2 rev:22 magnetic:2 berry:5 splitting:1 four:1 scalar:2 kato:1 consists:1 remarkably:2 contributions:3 inverse:1 calculate:1 zone:2 segments:1 gab:3 intensive:1 finally:1 monotonically:2 th:1 miyajima:1 perature:1 γb:1 analogous:2 include:1 crest:1 division:1 roc:2 worse:1 zhang:3 very:2 results:1 electron:2 resonant:2 experimentally:2 difference:1 matrices:1 room:8 level:4 irreducible:1 guo:2 ge:1 ri:1 large:13 solid:1 vector:1 small:5 eigenvalues:1 ueda:1 attracting:1 upper:2 smaller:3 grantin:1 disordered:1 ten:1 consistent:5 sign:3 jump:1 zero:4 design:1 enhancement:2 chen:1 further:2 odd:2 linear:1 even:9 wavenumbers:2 superlattices:1 trivial:1 near:20 supplied:1 current:10 experiment:1 above:2 designing:1 contributes:1 method:1 wavefunctions:1 ranged:3 respectively:5 orbitals:4 understanding:2 desired:1 γx:2 mes:1 represented:1 along:1 strong:1 appears:2 obtained:2 antisymmetric:1 institute:2 study:2 studied:1 reports:1 suggests:1 resulting:1 chang:1 studies:1 cancellation:1 taipei:1 fourfold:2 nusair:1 semiconductors:13 explained:2 ookayama:1 highly:1 superclean:1 clifford:1 standing:1 use:1 feb:1 remains:1 positive:1 charge:1 next:1 few:1 therefore:1 attribute:1 type:5 theoretical:3 diagrams:1 more:2 ǫabcde:2 becomes:5 operators:1 mismatch:1 curvature:5 hole:2 iii:1 γa:2 debates:1 tokyo:4 science:6 work:1 ij:3 values:1 splittings:1 following:2 control:1 wedge:1 council:1 give:1 calculation:3 relativistic:6 neglected:1 high:4 numbers:1 degenerate:1 occur:1 simple:1 axis:3 andersen:1 predominantly:1 carriers:2 rather:4 discussion:2 holds:1 criterion:1 b71:1 de:1 mat:1 may:3 ladder:1 after:1 higashi:1 diagram:1 corrections:2 mesh:1 revealed:1 response:1 constants:1 sz:4 sy:1 sx:1 effective:11 light:1 lines:1 correspond:2 si:1 negligible:1 correlation:1 integrand:1 sinova:1 order:8 reversal:1 berger:1 developed:1 over:2 mainly:1 raised:2 thermal:1 experiments:2 signs:1 japan:4 satisfies:1 suffer:1 its:4 d4h:2 group:2 symmetry:7 decay:1 decreases:5 filip:1 τz:1 systems:4 τx:1 τy:3 schmidt:1 nagaosa:6 murakami:5 material:3 ingan:1 band:21 they:1 now:1 discuss:1 nos:1 february:1 gets:1 dirac:1 fully:1 university:2 hamiltonian:8 magnitude:7 each:1 d3d:1 side:1 2k:1 heavy:2 el:2 lifted:1 generation:1 energy:9 ef:10 principles:2 eb:1 conductance:1 gaps:1 quantum:1 our:2 ev:11 eq:3 special:1 shown:1 impurity:4 space:2 furthermore:1 since:3 crucial:3 research:1 rf:1 dominated:1 formula:1 ref:5 occurs:1 shows:6 theory:1 mechanisms:2 possibility:1 mapping:1 nth:2 reason:2 threedimensional:1 advantages:1 put:1 degeneracies:10 ministry:1 times:2 length:1 hence:4 ture:1 degeneracy:4 first:2 copper:1 industrial:1 surviving:1 number:1 restrict:2 wees:1 utilized:1 fast:1 clarity:1 size:2 given:4 temperature:14 extrinsic:4 system:1 construct:1 indicate:1 appl:1 calculations:4 niu:1 gives:1 interests:1 mostly:2 unoccupied:1 transverse:2 alas:1 wunderlich:1 tempera:1 representing:1 than:10 coefficients:2 diffusion:1 approximation:1 polarized:1 double:6 second:1 project:1 determined:1 doubly:2 were:1 bauer:1 gigantic:1 enables:1 enclosed:1 shifted:1 correction:3 curves:1 summing:1 case:1 seen:1 orders:3 relatively:2 issue:2 angle:1 self:3 jxz:3 mechanism:5 metallic:7 note:4 sciences:1 fitting:2 causing:1 generalized:1 online:3 green:1 conductivity:9 added:1 ebert:1 electric:1 opposite:2 impurities:7 most:2 fcc:6 letter:2 device:1 ncts:1 luttinger:2 intrinsic:17 why:1 probable:1 observation:1 kj:1 calculated:7 metal:4 kn:4 physica:1 inoue:1 points:23 artificially:2 ku:1 physics:3 naively:1 wavenumber:1 ωcm:13 show:2 authors:1 analogue:1 ωz:4 fine:1 find:2 o:2 based:2 ferrand:1 parameters:1 conduction:1 distributed:1 engel:1 short:3 only:4 threefold:1 screening:1 muffin:2 equally:1 hamiltonians:1 local:1 peaked:1 dominant:3 dk:1 di:1 dd:1 spintronics:3 dc:1 da:2 cannot:2 brillouin:2 dx:2 dy:2 meguro:1 10mev:1 runs:1 aluminum:2 arxiv:2 shc:40 she:20 doublet:1 atomic:2 imposing:1 national:3 comparable:1 yakonov:1 observed:1 culture:1 see:3 sugimoto:1 bare:1 result:2 enhanced:2 close:2 techniques:1 surfaces:1 saitoh:1 still:2 tensor:1 fang:2 away:1 currently:1 justifies:1 materials:2 ishe:2 written:1 various:1 between:4 limit:3 justified:1 notice:1 terms:3 jy:1 nature:2 importance:1 however:4 cut:1 here:2 extent:1 modeling:1 come:1 thank:1 both:1 region:3 density:2 against:3 flipped:1 σz:2 σy:1 σx:1 dated:1 0k:2 contribution:7 argue:1 expression:1 experimental:3 considering:1 among:2 ibaraki:1 relevant:2 cm:5 point:7 color:3 character:1 corresponds:2 dimensional:1 simply:1 cancel:2 respect:1 platinum:5 pt:23 basis:2 addition:1 skew:4 due:6 tiny:1 vosko:1 yao:4 much:3 interest:1 proposal:1 brataas:1 fig:13 relations:1 corresponding:2 coherence:1 300k:2 gap:4 gan:1 2im:1 representative:1 perel:1 spin:26 former:1 present:3 applied:2 divisions:1 kimura:2 look:1 pacs:1 σxx:6 σxy:8 value:11 will:1 while:3 behavior:1 wilk:1 cancelled:1 iy:2 real:1 detailed:1 larger:7 jpn:1 almost:1 overlooked:1 thus:6 iw:3 ii:1 obstacle:1 cond:1 attributed:2 vy:1 technology:3 orbital:1 confirmed:2 fkl:2 kills:1 fkn:2 grant:1 supported:1 make:1 clearly:1 stimulated:1 rashba:2 advances:1 units:2 domain:1 finite:1 higher:2 used:4 spectively:1 peaks:2 cubic:2 tinkham:1 effect:8 hand:1 kubo:1 4d3:1 robust:2 totally:1 recent:2 lower:3 off:1 center:2 scenario:1 largely:1 nevertheless:1 changes:1 analysis:3 without:3 contact:1 comparisons:1 model:4 eu:2 onoda:3 halperin:1 being:3 sound:1 expanding:1 detail:1 identify:1 voltage:1 taiwan:2 converges:1 scattering:8 previous:1 enters:1 application:1 regarded:1 seems:1 5s:1 hall:12 lattice:2 internal:1 lett:13 relevance:1 5a:1 take:1 resolved:1 lacking:1 bands:15 decomposed:1 test:1 increases:1 five:1 using:2 advanced:1 prominent:2 degenerated:1 submission:1 signal:1 nanoscience:1 valence:2 interestingly:2 spins:1 parity:1 drop:1 some:1 urgent:1 firstprinciples:1 evaluated:1 ourselves:2 scale:2 tsukuba:1 though:1 integration:1 does:3 demonstrated:1 lowest:2 gaas:7 ba:1 γab:2 ntype:1 conventional:1 expansion:1 paper:1 step:1 ǫkn:2 although:1 properties:1 bz:3 comparison:1 ferromagnetic:1 extension:1 anomalous:1 dependence:4 recognized:1 2i:1 range:1 otani:1 cutoff:3 soc:2 ahe:3 into:1 within:2 integral:1 functional:1 three:2 down:1 because:7 rising:1 been:5 determine:1 operator:2 karplus:1 sports:1 theoretically:2 van:1 area:1 measured:3 support:1 there:4 long:1 smit:1 describes:1 low:1 abovementioned:1 was:2 opens:1 function:9 considerably:1 valenzuela:1 form:1 molenkamp:2 but:2 idea:1 lowered:3 line:3 true:2 made:1 hybridized:1 whether:1 robustness:1 up:3 us:2 different:1 below:4 fermi:10 ωn:1 demonstrate:1 distribution:1 similar:3 ki:2 strongly:1 ab:3 constant:2 σij:2 metals:4 general:1 separating:1 aids:1 partly:1 education:1 constructed:1 again:2 functions:2 compared:3 nm:1 dotted:1 no:1 dashed:1 whereas:2 when:8 vanishes:3 field:2 tin:2 other:3 role:2 department:3 elements:1 clean:3 calculating:1 initio:1 vertex:6 important:2 peak:5 parities:1 structure:7 upwards:1 correlated:1 implies:1 coupling:6 orbit:8 inset:1 safe:1 time:2 tatara:1 cpu:1 |
0705.0410.txt |@word partial:12 consider:2 funct:1 parametrizing:1 global:2 results:4 invent:1 four:2 scalar:1 proposition:10 grateful:1 projective:10 consists:1 sci:1 gm:1 gl:3 toric:159 sch:6 whose:7 inverse:2 combinatorial:3 undel:1 equivalence:8 acting:1 quasi:6 those:2 th:1 stable:3 prevariety:2 decomposition:4 analogous:2 presentation:2 spec:10 norm:1 applied:2 conjecture:1 string:2 straightforward:7 very:2 induce:3 splitting:5 corollary:3 every:13 difference:1 matrices:1 condition:21 dim:6 squares:1 presented:2 did:2 induction:1 notes:2 mirror:1 pullback:3 convenience:1 vector:148 fogarty:1 small:1 eigenvalues:1 div:2 intersection:1 mn:3 says:2 broader:1 zd:2 edu:1 direct:3 sign:1 elegant:2 likely:1 cyclic:1 further:2 eigenspaces:1 linear:29 even:1 what:1 filtration:4 appear:3 invertible:1 giving:4 trivial:4 section:18 brief:1 expressed:1 version:3 en:3 sur:2 subspaces:5 σij:8 replaced:1 gl2:2 gl3:5 acknowledgments:1 splittings:2 satisfy:7 freely:5 respectively:1 component:2 here:1 understanding:3 canonically:6 objects:1 groups:1 address:1 z4:1 along:1 standard:1 respect:1 appears:1 interpret:1 morphisms:5 obtained:1 remark:9 generalizing:1 gln:1 lehn:1 institute:1 study:6 studied:1 ρj:1 izv:1 products:1 ˇa:2 permutation:3 action:17 conveniently:1 suitable:2 sup:1 involves:2 quotient:13 fourfold:1 useful:2 projection:2 family:13 apr:1 inducing:1 prefer:1 ts:6 erales:1 equivariant:41 generality:1 sga:1 apply:1 resolutions:3 total:15 topics:1 planck:1 linearly:1 everybody:1 use:5 takes:7 working:1 prove:5 remains:2 eτ:1 stated:3 visit:1 nagoya:2 eσ:1 hilbert:1 few:1 therefore:5 reductive:1 encode:1 type:13 minor:1 ψe:7 separated:2 flat:5 almost:2 definition:4 vieweg:1 solitons:1 operators:1 under:4 payne:10 flag:9 reports:1 particular:9 known:1 multiset:7 cases:2 hold:2 stanford:3 must:1 fantechi:1 springer:2 isomorphism:17 tokyo:3 ρi:1 recall:2 der:2 work:6 cremona:1 easier:1 ij:1 stabilizer:2 following:8 meet:1 elegantly:1 example:2 fulton:1 proof:18 theorems:1 conf:1 give:7 choice:4 multigraded:1 suggestions:1 friedr:1 1980s:1 pushed:1 subtorus:1 sense:3 interpreted:1 verlag:2 nonvanishing:1 rays:10 end:1 s1:1 means:2 berlin:3 sous:1 write:11 maps:5 nontrivial:2 quillen:1 instead:2 parameter:1 map:13 product:6 description:2 algebra:5 may:10 max:2 ox:2 singularities:4 different:2 collection:15 consequence:2 explored:1 inst:1 coming:1 multiplication:4 bertin:2 law:11 data:5 compatibility:13 diagonal:2 mψ:15 natural:15 varieties:34 third:1 whenever:2 sr:1 chern:28 lines:2 element:4 filtrations:23 branched:2 so:8 specifying:1 decreasing:4 torically:1 fan:9 prikl:1 began:1 restriction:3 hom:3 duke:1 developed:3 over:28 insight:1 vary:1 equally:2 years:1 stability:2 mathematicians:1 paper:5 including:1 thesis:2 banach:1 existence:1 satisfies:2 jℓ:6 its:5 earlier:1 ima:1 ssr:2 du:1 group:6 how:1 chosen:5 fix:2 affine:13 coordinates:1 writing:1 late:1 choose:3 mail:1 main:5 sheaves:18 into:5 maximal:6 eventually:1 them:1 unframed:2 parametrizes:1 factorial:3 multisets:15 material:1 isomorphic:9 ukrain:1 framework:1 motivates:1 xd:1 they:1 nombre:1 ρs:4 glr:16 singularity:3 now:1 society:1 easily:1 finite:11 always:1 university:1 classified:1 identified:2 ussr:1 toroidal:1 each:19 mean:1 homogeneous:5 schemes:7 ei:6 ej:4 series:1 ergebnisse:1 fr:5 functor:7 conventions:1 torsion:2 elementary:1 codimension:1 extended:1 ex:1 eu:4 our:2 ev:3 array:3 es:3 out:10 category:5 respects:2 shown:1 space:13 res:1 furthermore:4 since:4 induces:3 chaos:1 research:2 fellowship:1 contained:2 geom:1 rational:2 reader:1 lecture:1 induced:4 evaluation:3 ri:1 math:18 deals:1 ecole:1 fiber:5 emas:2 theory:6 mσ:15 little:1 free:5 orbits:2 approaches:1 base:1 ask:1 isotypical:4 anal:1 advance:1 language:1 equivariantly:3 geometry:3 determining:1 transition:1 used:5 nonnegative:1 american:1 plane:1 hence:5 crm:1 onto:3 polynomials:2 first:6 mittag:1 inductively:1 major:1 xi:2 reflexive:3 symmetry:1 bijection:5 knudsen:1 schubert:1 reflected:1 rank:48 ℓj:6 vectoriels:1 done:1 another:2 ring:6 open:5 size:2 given:13 necessarily:3 embeddings:1 exists:4 similarly:1 introduction:4 transitively:1 relations:1 donat:1 imposing:1 manifolds:1 saint:1 scheme:30 structures:2 final:1 speaking:1 gives:9 progr:1 discussion:1 relative:7 exactly:6 immediate:2 part:5 parametrized:3 gluing:1 x0:9 horn:1 specify:1 categorical:1 connections:2 surjectively:2 showed:1 characterizations:1 was:2 depends:2 sweden:1 determined:3 historical:3 were:2 ber:1 integer:3 minus:1 seminal:1 pointed:3 sam:9 ann:1 curves:1 gentle:1 say:2 oda:1 disjoint:2 seem:1 their:3 contents:1 ray:8 functors:1 describe:1 studying:4 self:1 si:3 note:1 instance:1 ex0:3 sharpe:2 indexed:5 algorithms:1 polyhedral:1 converse:1 sets:3 sohn:1 xψ:2 birkh:1 z2:1 simplify:1 regular:2 connected:1 encodes:2 preliminary:1 pair:1 future:1 gubeladze:2 class:27 χu:7 mumford:2 especially:1 considered:1 clear:1 cover:1 vertices:2 order:2 kr:1 points:6 quasicoherent:3 diagonals:2 xσ:3 nineteenth:1 physics:1 sum:6 show:6 supported:1 analogously:1 spaces:20 relation:3 tohoku:1 decompositions:4 manifold:1 rough:1 rang:1 fine:12 injection:1 ground:1 quasiprojective:5 eigenspace:4 basel:1 fans:2 incidence:2 short:1 lemma:4 only:10 explicitly:2 generators:1 des:3 preliminaries:2 hope:1 do:1 his:4 propri:1 notation:3 get:1 mainly:1 de:3 act:1 cannot:2 framing:2 words:1 new:1 during:1 ϕf:2 liu:1 subscheme:8 approach:3 behaved:1 arxiv:1 warsaw:2 consisting:3 bad:1 nauk:2 contain:2 through:3 fixed:9 zur:1 combinatorially:4 view:1 kernel:1 moduli:64 set:11 modulo:1 constructing:3 reference:1 surjectivity:1 clarified:1 quasiaffine:1 frame:1 testing:1 module:1 maximum:1 subgroups:1 see:8 individual:1 alg:1 result:6 discussions:1 recently:1 ur:1 acts:9 mathematik:3 subject:1 surfaces:3 satisfying:7 draws:1 eigenfunctions:1 monoid:1 rings:3 symmetric:1 written:1 classes:15 various:1 closed:12 between:5 invariant:7 geometric:11 before:1 conditions:19 deformation:1 grothendieck:1 ℓd:1 multiplied:1 terms:5 complementary:1 complement:2 restricting:1 however:2 vanishing:2 subbundles:2 key:2 uτ:1 lazarsfeld:1 come:2 holds:1 uσ:18 restrictions:1 σi:1 polytope:1 limits:1 many:5 miyake:1 equal:2 agree:2 inclusions:2 und:1 embedding:2 sheaf:2 monograph:1 arbitrarily:2 among:1 ci:3 point:10 tσ:2 seems:3 ca:1 cohomology:4 corresponds:1 demazure:2 dimensional:9 simply:1 sequences:1 polynomial:4 proved:1 naturality:1 smith:1 lect:1 complication:1 described:1 commutative:1 piecewise:4 union:4 uρ:2 create:1 locally:14 three:10 nachr:2 springerverlag:1 much:1 coarse:11 basic:3 ph:1 algebras:1 pn:3 universal:1 empty:1 define:6 direction:5 referee:1 families:20 commutes:1 selfcontained:1 oσ:3 essentially:1 coherent:3 lift:1 lives:1 subvarieties:2 univ:1 hamburg:1 rephrased:1 c1:1 general:5 present:1 p2:6 p1:1 splits:3 knutson:3 akad:2 le:1 choices:2 will:2 technical:3 while:1 suppose:1 cox:2 associating:2 property:2 anderson:1 vd:1 vol:8 vi:2 vj:1 projectif:1 injections:1 surface:1 ii:1 cocycle:1 cone:5 dual:1 ebriques:1 motivated:1 eigenfunction:1 containing:2 abstracts:1 d12:1 fibers:2 generic:2 make:1 same:5 any:16 arguments:2 widely:1 universality:4 several:1 european:1 development:1 independent:3 literature:2 trivially:1 i1:2 groupe:1 sym:1 hand:1 subvariety:2 v1:1 harris:1 moving:1 purpose:1 cr:1 stack:7 identity:3 recent:1 suffices:1 center:2 possibly:1 yau:1 no:13 well:7 roughly:3 cutting:3 flags:9 components:1 convenient:1 coordinate:4 position:1 kempf:1 ihrer:1 arising:1 dimension:2 vakil:7 graded:5 just:2 less:1 toral:2 x1:1 numbering:1 actions:2 ideas:1 mfr:38 underlying:3 questions:1 using:3 flavor:2 glue:1 multiples:1 ucker:1 adv:1 vρ:16 bldg:1 cut:7 preprint:6 classification:27 generator:2 application:1 auser:1 character:3 e31:1 lattice:5 setting:3 collections:8 lett:1 theorem:30 iρ:3 extensive:1 remaining:1 euler:2 gave:2 identical:1 aspects:1 around:1 isomorphisms:5 famously:1 chapter:2 sums:1 possible:5 spanned:1 framings:2 interior:1 hering:1 background:2 eigensections:1 press:1 immediately:1 unique:1 decomposes:1 projects:2 fractals:1 mustat:3 appearing:6 helpful:2 systematically:2 follows:16 automorphisms:1 complexe:1 expository:1 clay:1 subschemes:2 conrad:1 mathematical:1 copies:1 satisfactory:1 representation:2 cones:6 some:10 algebraically:3 ct:3 examples:1 complete:2 specified:2 intuition:1 proofs:3 etries:1 nonzero:1 specific:1 dense:3 both:3 lead:2 stronger:1 fachbereich:1 hodge:2 injectivity:1 providence:1 does:4 exposition:1 assuming:1 intersections:3 minimal:5 refer:2 varying:1 who:1 problems:3 equivalent:4 arbitrary:7 pp:5 notably:1 step:1 leffler:1 although:3 lvov:1 properties:3 after:2 torsor:1 gained:1 integers:4 about:1 works:1 extension:1 algebraic:7 basis:2 factors:2 o:2 compatible:14 distinct:2 plus:1 chow:4 publ:1 introduced:1 os:7 suslin:1 morphism:11 subset:3 primitive:3 contains:1 statements:2 inclusion:1 bundles:120 image:4 within:1 integral:4 sketch:1 nsf:1 framed:19 lies:2 hermitian:2 because:2 references:2 selecta:1 frames:1 fibr:2 positive:3 methods:1 fourfolds:2 institut:2 additional:1 most:2 there:19 specifically:2 ks99:2 restricts:2 appl:1 way:1 proudfoot:1 cartesian:1 sections:9 grenzgebiete:1 naturally:7 function:7 elsewhere:1 ed:1 attempted:1 murphy:11 tailored:1 but:8 idea:1 taken:1 construction:3 klyachko:27 related:1 pwn:1 encoded:2 line:8 level:1 he:3 made:1 lafforgue:1 places:1 cid:4 whether:1 multiplicity:3 smooth:12 up:4 bijectively:1 covers:1 complications:1 pl:1 problem:2 more:2 similar:3 torus:9 associated:2 ad:1 ag:5 defined:9 certain:2 abstract:1 convex:1 am:1 deep:1 denote:1 single:1 proves:1 exist:2 barcelona:1 corresponding:5 plan:1 check:5 constructed:3 kirwan:1 functions:21 groupes:3 variety:9 fixing:1 billey:2 when:3 graduate:1 field:4 badly:1 other:10 details:3 mathematics:6 nr:5 theor:1 applications:1 congress:1 subspace:2 mekh:1 categories:2 representable:1 bundle:31 includes:1 generated:1 included:2 structure:2 dimensions:1 independently:1 huybrechts:1 implies:2 difficulties:1 calls:1 ranks:1 mixtes:1 d23:1 required:2 modules:11 orbit:3 together:5 stacks:2 semistable:1 volumes:1 resolution:1 original:2 once:1 |
0705.0411.txt |@word replacing:1 unweighted:1 simplexes:5 partial:1 consider:9 remarkable:1 funct:1 invoke:1 varying:1 focus:3 produce:1 themes:1 facilities:1 scalar:1 per:4 computation:5 edu:2 consists:4 equivalences:1 compact:1 whose:6 isometric:4 γx:28 depend:2 referring:4 γy:2 i2:11 graph:2 equivalence:4 γt:34 answered:1 quasi:1 pathological:1 restriction:1 those:1 ti:1 stochastic:1 td:54 include:4 γd:81 applied:1 conjecture:4 mainstream:1 advantage:1 without:2 very:4 koldobsky:2 results:5 corollary:25 valued:1 every:6 invent:1 leave:1 80th:1 inherited:1 little:2 exact:3 rn:7 condition:10 partitions:1 groups:2 entire:3 school:1 level:16 induction:1 notes:1 vertex:19 solution:2 culminating:1 try:1 discrete:2 settle:1 minimal:16 recall:2 roundness:23 anal:3 overview:1 der:1 system:4 upper:3 abbreviated:1 smaller:2 says:1 grateful:1 lecture:3 invariably:1 direct:3 strung:1 imply:4 enhancement:1 infimum:1 pass:1 further:8 reine:1 lafforgue:1 odd:8 quite:1 theory:6 even:8 nonlinear:1 developed:2 appear:2 abh:1 goel:1 section:17 celebrated:1 brief:1 expressed:1 uniform:13 henceforth:1 sur:2 reconstruction:2 retains:1 new:13 net:1 bn:1 satisfy:4 relationships:1 simultaneously:1 notions:4 degree:1 excludes:1 symposium:4 respectively:5 gener:1 concepts:2 equals:1 here:1 automatic:2 ranges:2 explore:1 objects:4 2kb:1 paraffin:1 tv:5 path:12 along:1 strong:2 equations:3 appears:3 change:1 calculate:1 obtained:2 remark:9 lafont:2 ahead:1 precursor:1 root:10 study:2 studied:2 allows:2 charikar:4 espace:1 prior:1 symp:1 survey:1 definitively:1 cardinality:1 suitable:2 studies:3 cancellation:1 foundations:2 encountering:1 uniquely:3 named:2 via:3 useful:1 addresses:1 family:2 elaborated:1 search:1 prune:1 provision:1 cosmetic:1 highly:2 conditions:4 privately:1 perhaps:1 apply:4 should:2 establish:1 linearly:1 use:9 dna:1 takes:1 working:1 bernard:1 distinct:2 remainder:2 contains:4 uniformly:5 negative:107 properties:5 rao:1 classically:1 call:2 therefore:11 lennard:5 encode:1 associated:2 type:110 theoretical:4 more:13 introducing:1 formally:1 initiated:1 initial:1 under:3 line:2 surprisingly:1 ar:6 fixed:7 subclass:1 normalized:50 particular:17 known:4 applying:4 cases:4 hold:4 easiest:1 must:12 account:2 onig:2 mag:1 science:5 equation:1 work:6 mi:1 modified:6 mk:1 mj:57 remain:1 obvious:4 publications:2 aj1:9 following:31 making:3 trans:2 endow:3 example:16 proof:40 overall:1 dedicated:1 gafa:1 give:1 process:3 discussed:1 cited:1 sense:1 smirnov:4 generically:26 states:1 indicates:1 minimum:1 numbers:19 want:1 allowed:2 standard:2 mathematik:1 unordered:6 verlag:1 information:1 united:1 end:1 lemma:17 rather:1 purpose:1 holds:7 berlin:1 utilize:1 occur:1 write:2 necessary:6 hjorth:8 mj1:15 mj2:13 holland:1 answer:2 instead:1 ordinary:6 dedicata:1 belongs:1 classifying:1 mar:1 strictness:2 mat:2 minimums:1 may:33 max:4 after:2 derived:2 proc:3 connects:1 ically:1 applications:6 birthday:1 distances:6 designed:1 opening:1 restate:1 cambridge:3 mendel:3 minimizes:1 data:1 recursive:2 αl:37 realized:1 introduced:4 natural:23 γ2x:2 third:2 akad:1 whenever:3 quantify:1 classe:1 lines:1 correspond:1 assign:1 provide:1 switch:1 so:28 realizes:1 allow:1 necklace:4 definitions:8 looking:3 terms:3 ailon:2 separable:2 innocuous:1 evolutionary:1 saturated:1 help:3 indebted:1 taxonomy:1 over:9 constrained:1 choose:2 course:1 mathematicians:1 paper:19 including:1 coarsely:3 banach:8 mentioned:3 satisfies:5 poincar:1 ieee:2 its:6 before:1 ld:14 thank:1 termed:1 chosen:7 interesting:2 fix:2 encoding:1 coordinates:1 actually:2 forms:2 shifts:1 countably:1 semple:2 convexity:2 constitutes:1 persist:2 wales:3 main:3 might:1 weber:2 emphasize:1 maximal:16 eventually:1 non:16 good:2 motivated:1 adjacent:1 thereby:1 yn:14 matches:2 universality:1 material:1 30th:1 introduce:6 functional:3 scaling:2 2p:10 hierarchical:1 they:9 optimal:1 own:3 now:22 yu:4 term:3 gets:1 equality:9 designation:1 2k:1 always:4 university:5 alternately:3 requires:1 labeling:3 establishing:2 drive:1 sufficiently:4 iff:1 inequality:8 l2:1 each:20 proofs:1 providence:2 entirely:4 side:4 constraints:1 subset:4 domain:2 weighted:7 ηq:5 weight:5 simplicity:1 doing:1 series:3 hard:1 reduce:1 idea:3 related:2 applicable:1 society:2 expression:2 extended:7 interplay:1 amsterdam:2 substantially:1 our:9 happen:2 summary:1 extract:1 orient:2 es:1 out:6 large:2 shown:3 superscripts:1 rq:2 space:34 although:2 mq:11 since:2 research:2 rd:13 aji:3 vector:23 geom:2 enable:1 reader:2 denoted:14 formula:6 get:7 evaluation:6 math:16 shows:4 biomedical:1 exactly:1 gromov:5 normed:1 linear:8 plotkin:1 embed:1 maurey:2 recalling:3 small:5 completely:1 necessarily:1 york:2 ask:1 consequences:1 estimate:3 monographs:1 shortest:2 46th:1 definition:44 pairs:2 qj:2 βr:13 fa:1 geometry:9 determining:6 aj2:12 similarly:1 xii:1 times:2 turn:1 length:1 levels:6 place:2 derivations:1 1970s:1 consequence:1 inst:1 onto:1 think:1 south:3 first:4 xj:9 riemannian:1 major:2 xi:8 xn:8 rooted:1 striking:1 omitted:1 bartal:2 primary:3 consequently:2 done:4 construct:3 another:1 obtaining:1 stated:2 apparent:1 open:7 several:1 affords:1 illustrate:3 1q:2 1p:1 given:29 ian:2 geodesic:7 exists:4 start:1 introduction:2 meaningful:1 c0:1 structured:2 b2:2 accordingly:2 least:3 their:1 assumption:1 observations:1 statement:5 convention:2 ordered:3 scheme:1 really:1 ranging:1 williams:4 gives:6 excellent:1 sociated:1 tuple:1 tool:1 continuous:2 serve:1 immediate:2 technique:2 part:7 too:1 hyperbolic:1 number:16 x1:7 than:4 positively:1 whereby:1 steel:2 observed:1 john:1 determines:1 unfortunately:1 showed:1 sections:2 tree:82 second:5 submitted:1 final:3 preparation:1 succinctly:1 appealing:1 determined:3 were:2 negatively:1 distinguished:1 diestel:1 springer:1 formulated:1 w1:2 generality:2 rewrite:3 tives:1 ann:3 turned:1 argument:3 generalization:1 summing:1 already:1 say:9 angew:1 need:3 seen:2 eureka:1 any:27 viewed:1 lie:3 constructions:1 realm:1 h28:1 zero:12 min:5 describe:1 convenient:1 latter:1 isolate:1 ideas:2 oriented:33 k2:14 k1:15 k0:19 pivotal:1 generalized:20 assigns:2 obviously:4 indexed:1 algorithms:2 able:1 subject:1 formulas:8 play:3 towards:1 node:6 chekuri:1 imposed:1 opposite:4 germane:1 proving:1 who:3 wells:4 short:1 metrics:9 most:1 αr:14 connected:3 rationale:1 representation:1 pair:3 appl:3 america:1 extremely:1 class:1 exponent:1 bound:7 ihrer:1 laurent:3 observation:2 surprising:1 considered:1 clear:7 adopt:1 stronger:1 vertices:48 countable:4 ohno:1 assignments:1 h2n:1 furnish:1 versa:2 north:1 occasion:1 effect:1 notion:5 fact:2 quantity:1 precise:2 operations:1 sussex:1 particularly:4 phenomenon:2 show:8 labels:3 contemporary:1 chapters:1 notations:3 spaces:30 relation:4 nowak:2 decompositions:1 label:2 trivial:3 find:1 nominally:2 current:1 des:1 finally:1 based:1 just:2 parameters:2 during:1 state:2 soc:6 completes:2 terminal:1 analytic:1 only:31 going:1 coefficients:1 indeed:2 attained:2 myriad:1 menger:2 preliminaries:1 continuity:1 do:2 his:1 normalizations:1 above:12 notation:14 means:2 embeds:3 simplest:1 designated:3 lead:1 trees:31 cannot:2 stars:1 longest:1 words:10 reconstruct:1 conjunction:1 subscript:2 rademacher:1 areas:3 de:1 consist:1 die:1 benyamini:2 lois:1 arxiv:1 alteration:1 remove:1 geodesically:1 aspects:1 default:1 underlying:3 analytical:1 london:1 homeomorphic:1 cycles:2 pertains:1 hydrocarbons:1 set:31 constructing:1 reference:1 maurice:1 unpublished:1 cuts:1 j1:15 j2:13 maximum:1 connections:2 namely:5 computer:5 college:2 result:6 enhanced:2 embeddings:17 limiting:1 best:1 points:3 instance:2 hilbert:13 said:4 inequalities:22 matter:1 ways:1 milman:1 review:1 currently:1 definite:1 assumed:1 partition:4 symmetric:2 rˆole:4 written:1 smallest:1 enumerated:1 closed:2 between:5 invariant:1 geometric:2 previous:2 approach:3 email:1 quantities:1 hence:9 notice:10 recently:1 parallels:1 extend:1 adding:2 importance:1 arises:1 roe:2 however:4 talwar:1 surrounded:2 concentrate:1 hypothesis:1 joe:1 key:4 multiplier:3 natur:1 article:1 amer:5 problem:3 guha:1 adapting:1 both:6 essentially:5 parentheses:1 last:4 reverse:1 cayley:3 many:2 deriva:1 equal:2 raumes:1 ln:16 admit:1 colloquium:1 ωg:11 context:8 designations:2 contribution:3 delete:2 whole:1 asked:3 monograph:2 sake:1 load:26 among:1 relevant:3 schoenberg:4 cn:1 characterization:6 simple:7 had:2 address:1 evaluate:1 whatever:1 39th:1 represented:1 exploit:1 diverges:1 simply:4 spans:1 lagrange:4 moreover:19 throughout:3 considering:1 burns:1 algebra:1 described:4 commutative:4 leads:3 basis:1 addition:2 wien:1 due:7 been:8 rhode:1 reprinted:1 much:1 coarse:12 interest:3 basic:3 connes:4 universal:2 empty:1 define:7 box:2 direction:2 aj:62 corresponding:1 lp:7 restrictions:1 restricted:1 baum:4 concerning:1 lq:1 subspace:1 andrew:1 gap:52 anthony:2 observe:3 determination:2 systematic:1 bull:1 rephrased:1 general:7 spirit:1 hardness:1 krivine:1 case:14 aq:2 p1:7 adaptations:1 subsets:3 invariants:1 plain:1 m2j:2 tractable:1 prominence:1 value:6 choices:4 will:42 technical:1 philos:1 optimization:1 suppose:6 applies:1 exist:4 gave:1 35th:1 leaves:7 pack:1 focussed:1 metrik:1 vectors:10 orientation:2 played:1 endowed:4 metric:131 vk:1 them:1 surface:3 according:4 ii:1 characterize:2 thomassen:1 elsevier:1 ni2:11 return:2 protein:1 ni1:13 pruning:1 acknowledgments:1 null:1 develop:2 efinition:1 author:2 generic:17 arguments:1 make:4 same:6 clearly:6 checking:1 parts:1 replace:1 distilled:1 resulting:2 finite:96 nonexistence:1 junge:2 four:2 development:1 independent:4 used:3 embedding:5 see:21 again:1 i1:13 numerical:1 upon:9 functions:2 hand:6 driven:1 v1:1 edges:16 arose:1 infinite:9 frequently:1 validate:1 gong:1 normalization:1 recent:2 numbered:4 lower:7 proceed:2 minimize:1 makes:2 no:8 well:2 subtree:19 analysis:5 theme:1 thought:1 amounts:1 synopsis:1 edge:43 solve:1 lindenstrauss:2 sets:4 coordinate:2 entry:1 accessible:1 otherwise:2 dimension:1 left:18 comment:1 mind:1 manifold:1 deza:3 less:2 being:2 when:10 labeled:20 obtain:7 rest:1 assigned:5 oxford:3 intervals:2 situation:1 aspect:1 integer:1 facts:2 alternative:1 bi2:10 yet:1 bi1:10 homeomorphisms:2 note:5 generous:1 cut:1 preprint:1 classification:1 pisier:1 density:1 similarities:1 point:8 seems:2 fitting:1 sometimes:3 source:1 add:1 interested:3 treatment:1 sydney:1 theorem:73 c13:1 machado:1 extensive:1 prominent:1 heidelberg:1 take:1 real:7 australia:1 march:1 analogy:1 depends:8 read:1 replaced:2 showing:1 repetitions:2 sums:5 possible:4 visibly:1 possibly:2 increases:2 2w:2 phylogeny:1 background:1 nq:25 press:2 using:8 unique:11 wiss:1 formal:1 generated:9 loss:2 modifications:1 wolfson:1 appearing:2 like:4 identifying:1 follows:17 linial:2 shieber:1 continue:1 steps:2 either:3 arbitrary:10 become:1 works:1 essential:1 clustering:1 mathematical:5 pertaining:3 sketch:1 right:19 often:1 classical:1 lectures:1 sequences:2 some:17 begin:2 espaces:2 understood:2 examples:3 choosing:1 loaded:3 multiple:1 classes:2 provided:4 crelle:1 scale:1 leaf:10 βl:29 stables:1 grants:1 shall:1 isometrically:1 comments:4 arguing:2 does:6 decomposition:1 provides:6 indication:1 closely:1 demonstrated:1 refer:2 biology:1 sabbatical:1 algorithmic:1 und:1 phylogenetics:1 bl:5 june:1 equivalent:3 l1:1 bi:59 bk:1 bt:2 how:2 unsw:1 simplex:89 br:5 informatics:1 approximating:3 subtract:1 intense:1 asymptotic:2 chapter:1 cotype:6 about:1 une:1 central:1 would:2 extension:1 constraint:1 island:1 identification:1 theorems:3 introduces:3 meaning:1 acm:2 union:1 range:1 ak:1 greatly:1 positive:8 ark:2 importantly:2 discusses:1 naor:7 other:18 automatically:4 vi:1 considerations:1 outset:1 computational:1 computes:1 parity:14 ηn:16 into:17 within:2 ηk:5 ηj:11 ηi:6 three:1 lies:2 appropriate:1 because:11 references:3 determine:3 elementary:2 easy:2 next:2 vii:3 vj:1 unambiguous:1 statistics:2 deal:1 few:1 combinatorics:1 segment:2 strictly:7 there:17 question:7 approximate:1 specifically:1 strict:37 restricts:1 joseph:1 handbook:2 way:12 m1:14 was:4 grenzgebiete:1 naturally:1 function:10 tight:1 ergebnisse:1 arise:1 complete:1 form:9 simplifications:1 dranishnikov:3 converse:2 but:8 back:2 volume:3 taken:3 construction:1 repeatedly:1 mich:1 russian:1 unequal:1 injection:1 removed:1 true:1 especially:1 inverse:1 partitioning:1 compute:6 tonge:3 embedded:1 whether:1 la:1 bounds:4 us:4 relabeling:1 frechet:1 below:1 xiii:1 sum:7 highlight:2 distribution:5 isolating:1 similar:5 called:7 supremum:1 b1:8 relabelling:1 bourgain:2 later:3 constant:6 directly:1 factor:1 computing:3 defined:3 certain:5 abstract:1 phylogenetic:2 schechtman:2 proven:1 denote:28 weston:8 quantification:1 diverse:1 au:1 extensions:1 formulation:1 journal:1 inf:5 identities:1 internal:8 ni:49 nj:1 nk:2 variety:1 computations:1 fixing:1 topologists:1 generally:3 proceedings:4 multipliers:1 application:1 disjoint:2 setting:3 remarks:2 helpful:2 papers:5 department:1 mathematics:3 isomers:2 nt:11 annual:4 northholland:1 conclude:3 alternate:1 elements:1 star:2 connect:1 preceding:2 problems:2 includes:1 a1:3 develops:2 important:5 allowing:1 suited:2 scrutiny:1 sides:2 compared:1 enflo:11 implies:2 asq:1 algorithm:15 vice:2 assume:15 starting:1 american:2 interval:4 cally:1 lengths:1 together:6 having:1 tandem:1 weights:10 eℓ:3 time:2 n1:15 n2:9 paste:1 buffalo:1 original:3 once:1 |
0705.0412.txt |@word represent:4 gt:2 partial:1 consider:16 results:4 four:4 gf:6 concept:1 generalize:4 grateful:1 follow:1 establishment:3 gr:2 relationships:1 whose:1 fronts:47 inverse:2 depend:7 calculate:2 γr:2 technique:1 investigation:1 under:27 tc:1 discriminants:1 applied:1 legendrian:5 rise:1 choice:5 corollary:13 every:30 orientations:1 lecture:1 affect:1 difference:3 lr1:3 school:1 basics:1 dii:9 immediately:4 12th:1 involution:2 proposition:12 email:1 science:2 concluded:5 sign:4 imply:1 zx:1 value:22 zz:10 gn:2 odd:1 canonical:4 bilinear:2 index:39 sub:12 giving:2 section:10 3u:1 3t:1 3i:2 above:3 new:2 consisting:6 satisfy:3 compact:1 full:1 degree:11 deduces:2 ma:2 even:1 okubo:1 compose:2 tangent:2 represented:3 along:3 strong:3 change:15 obtained:1 remark:19 waseda:2 natanzon:1 study:2 vectors:2 via:7 projection:4 classification:2 extra:1 marked:8 replace:1 decrease:3 txy:1 fake:22 apply:5 clockwise:1 linearly:2 use:1 links:1 prove:10 positive:17 contains:1 negative:2 next:5 call:1 therefore:10 endowed:3 nanowords:4 themselves:1 type:8 until:2 diagrams:2 more:3 introducing:1 compositio:1 immersion:3 constructs:1 surjection:1 berlin:1 normalized:1 particular:6 known:1 iii:12 must:5 me:1 springer:1 isomorphism:3 word:71 tokyo:1 deformed:1 recall:1 modified:1 values:11 concepts:2 following:30 my:1 example:16 def:4 proof:22 f1:10 f2:10 ramifications:2 figure:90 expanding:2 reconstructed:1 turaev:17 minimum:1 conversely:1 axis:1 varied:1 discussion:1 means:9 how:2 answer:1 sii:9 verlag:1 parameter:8 divides:2 classify:2 goryunov:1 description:2 singular:2 replacing:4 immersed:5 xzy:1 mapping:14 xzz:1 diagram:1 applications:2 plane:52 inst:2 wave:2 kxx:1 natural:1 outline:1 effective:1 resemble:1 light:1 counter:1 correspond:1 element:11 so:5 sect:24 fundamental:4 definitions:1 order:4 ito:1 holds:1 aη:1 pointed:9 move:57 noboru:2 paper:7 equip:2 satisfies:2 still:2 its:7 before:1 x21:4 fruitful:1 lr:3 choose:1 decreased:2 defining:1 image:2 ideal:1 correspondence:2 cusp:7 them:5 murakami:2 material:1 introduce:1 yx:1 maslov:6 half:1 front:31 rotation:3 framed:1 2t:5 easily:6 2v:1 2p:2 name:3 2r:3 2s:14 invariants:76 university:2 classified:2 2x:2 2y:2 2z:3 2q:3 2d:1 x19:2 l4:3 l5:3 l2:14 l3:4 l0:1 each:18 x10:1 cusps:13 2n:1 x13:1 x14:8 2i:2 x16:2 x17:2 lr2:3 lectures:1 differential:1 series:1 related:1 conventions:1 equivalence:1 into:2 nanoword:20 acknowledgment:1 space:11 algebra:2 increase:1 may:4 expressed:1 vector:1 rc:1 denoted:1 formula:3 2k:3 ri:2 math:8 gromov:3 theory:18 singularities:1 free:4 isotopy:9 base:33 york:1 card:5 8u:1 definition:29 pairs:1 r2:2 created:1 geometry:1 creates:1 length:5 place:1 2c:2 qn:2 think:2 first:1 knots:10 xk:11 bijection:2 omitted:1 xa:4 number:16 xz:1 clear:1 xx:2 xy:56 relations:4 another:4 gusein:1 ring:1 precisely:7 given:7 similarly:1 introduction:1 system:1 construct:9 their:1 assumption:1 vxy:2 st3:2 zxy:3 ukk:1 zxz:1 tangency:1 gives:1 proving:1 x8:1 part:1 x2:7 alphabets:4 x1:6 x6:1 than:11 x4:1 x5:1 cyclic:22 double:22 seminars:2 determined:6 x18:2 treated:2 zy:3 arf:1 rewrite:1 strengthen:3 boston:4 ann:2 generalization:10 coorientation:4 say:2 need:1 seen:1 st:45 reidemeister:2 clearly:2 strength:2 lin:5 contact:6 oriented:1 k2:7 k1:6 k0:8 generalized:1 k4:1 sn:3 residue:1 begin:2 added:1 established:9 any:1 object:3 chart:1 birkh:2 z2:1 simplify:1 regular:4 but:22 letter:13 nothing:1 why:1 stands:2 especially:1 tθ:1 kk:1 professor:1 stronger:7 km:1 3s:1 proceedings:1 points:19 li2:21 li3:22 ky:2 kx:1 fact:1 show:1 converse:2 ki:13 spaces:1 relation:11 curves:80 x3:1 homology:1 aτ:1 fw:2 topological:2 x7:2 lemma:3 only:13 vkk:1 formulation:1 subsection:5 local:4 over:14 do:5 his:1 notation:1 get:7 express:2 obtain:1 self:1 kxy:1 words:23 reconstruct:1 japan:1 aξ:1 regarding:1 transversal:2 conditions:3 arxiv:1 kkk:2 method:5 contain:1 view:1 coefficient:2 redefine:3 set:9 constructing:2 exists:2 multiplied:1 tu1:2 tu2:3 tu3:3 module:9 j3:2 collectively:1 see:2 w2:2 w1:2 wf:19 surfaces:3 appear:1 steklov:1 monoid:4 2l:2 rims:1 symmetric:2 classes:6 various:1 closed:31 invariant:37 boundary:1 numerous:1 x20:4 available:1 ar1:4 ar2:6 ar3:2 terms:5 kei:2 adding:1 wn:23 wl:9 jp:1 however:4 vassiliev:2 geometriae:1 amer:1 topology:5 both:2 dedicata:1 equal:3 homotopy:2 etc:2 admit:2 objects:2 distinction:1 genus:2 x15:8 zou:1 among:1 ci:11 co:1 point:33 simple:1 cohomology:1 corresponds:2 dimensional:9 bη:1 counterexample:1 polynomial:7 moreover:1 x9:2 li:8 considers:1 v2l:7 conference:1 submanifold:1 basis:3 addition:1 ai1:2 three:10 mark:1 hitting:1 treat:1 basic:35 zade:1 pn:2 abstract:1 define:20 direction:6 corresponding:4 xxy:11 lift:1 whitney:2 general:1 case:12 classifications:1 winding:2 solid:2 arnold:27 deformation:1 will:13 while:1 suppose:8 applies:1 property:1 va:2 planar:1 vc:1 orientation:7 vi:4 vk:10 thus:1 yk:1 surface:24 uxy:4 ii:18 viro:1 triple:2 sxy:1 xj:2 different:12 journal:2 alphabet:13 make:2 same:14 trip:1 k2l:2 advances:1 several:2 pan:1 independent:8 safe:1 i3:22 i2:51 hand:1 v1:8 v2:7 auser:2 infinite:1 normalization:1 least:1 reflection:4 well:2 patterns:3 without:1 corresponded:1 soviet:2 dimension:9 left:17 gelfand:2 chord:1 manifold:1 they:1 less:3 when:8 resp:3 numbering:1 kinks:1 abbreviation:1 torus:2 using:12 facts:1 adv:1 k3:1 sciences:1 regarded:1 except:1 add:3 theorem:37 semigroup:1 take:2 increased:7 2u:4 checking:1 involutions:1 term:1 cf:11 knot:4 integer:1 ams:1 unique:3 apart:2 ns:1 necessary:1 like:2 systematically:2 follows:3 diffeomorphic:1 admitted:1 either:1 arbitrary:18 terminology:1 mathematical:3 because:9 methods:1 sequence:11 some:7 algebraically:1 deduce:1 repeat:1 examples:2 proper:2 neglecting:1 bξ:1 l6:3 theorem2:2 normal:1 comments:1 2xy:2 providence:3 does:2 unit:1 proc:1 2a:1 caustics:1 cgm:3 equivalent:25 l1:14 zzp:2 crossing:1 substituted:1 references:1 x11:1 relating:1 x12:1 commutative:2 polyak:6 about:2 introduces:1 meaning:1 o:1 side:1 stand:3 introduced:1 2x7:2 soc:1 letters:17 variations:2 xyz:6 rotations:1 isomorphic:6 due:4 pair:2 right:13 wγ:19 determine:2 elementary:40 ai2:2 there:14 question:1 long:31 class:1 ci3:23 ci2:22 charts:1 way:5 2m:2 gin:4 naturally:1 function:4 regard:2 jun:1 gauss:21 taken:1 construction:7 etale:8 encoded:1 line:1 trying:1 homfly:5 made:5 applying:1 consist:9 dangerous:1 smooth:4 cin:6 us:1 similar:11 called:10 strengthening:3 proved:2 af:8 defined:33 universal:2 am:2 denote:5 engineering:1 exist:5 aw:5 av:8 ay:1 ax:4 moves:8 check:4 qα:3 nd:7 detail:1 virtual:2 graduate:1 application:7 other:22 branch:2 department:1 mathematics:2 homotopically:1 khovanov:1 sufficient:1 conclusion:1 elements:7 kinds:2 ku:1 zhou:1 sided:1 bilinearly:2 a1:7 generated:11 a2:6 jones:1 implies:9 assume:1 4t:1 curve:64 4s:1 4p:1 rxy:1 strings:1 once:1 |
0705.0413.txt |@word secondly:1 concept:2 consider:5 chinese:1 illustrates:1 global:1 gap:1 results:11 switches:51 generalize:1 per:4 edu:1 go:9 follow:1 disk:1 reasoning:1 extra:2 replacements:1 chain:1 graph:40 segments:30 tu:1 presents:1 behave:1 those:3 under:3 include:3 bipartiteness:2 applied:1 belonging:1 outside:1 very:3 rise:3 choice:2 corollary:1 crosses:9 every:8 updates:1 decide:2 affect:1 exact:1 prevents:1 arrange:2 four:6 breadth:1 immediately:1 made:1 shamir:1 xih:1 solution:1 try:2 solved:2 pollack:1 small:3 solutions:1 unsatisfied:1 upper:1 neighborhood:2 direct:1 maintain:2 past:1 consists:2 second:1 design:1 chen:1 further:3 odd:37 linear:2 even:10 nothing:1 what:1 adds:1 appear:1 opaque:1 giving:4 section:6 selected:2 kreveld:1 consistently:2 above:5 values:3 order:3 method:2 satisfy:2 degree:9 placing:1 equals:2 here:1 diagonal:1 desired:2 possibility:1 groups:1 others:2 recomputing:1 path:2 along:7 quite:1 respect:1 obtained:1 search:4 casing:18 involved:1 leaves:3 larger:2 allows:3 commonly:1 amount:1 resulting:3 subdivisions:1 implement:1 changes:1 elongated:1 decision:2 composed:1 technique:1 claim:1 win:1 layer:1 marked:1 visible:2 boolean:4 decrease:4 apply:3 total:11 establish:2 unit:1 orientation:2 horizontal:10 use:4 takes:3 would:8 prove:1 remainder:1 contains:3 bundles:11 negative:1 next:1 m4:2 call:2 therefore:4 m3:3 criteria:2 timetable:1 associated:2 iteratively:1 start:1 more:9 sort:2 sharing:1 started:1 initial:1 appendix:3 separates:1 known:2 cases:3 must:17 endpoint:5 tunnel:21 science:2 work:1 modified:3 geometry:2 minimum:17 crossed:2 following:1 root:2 example:3 proof:14 pach:1 f1:1 f2:2 impose:1 tap:1 triple:4 figure:2 stated:1 stacking:20 channel:12 assumptions:1 acm:2 want:1 allowed:1 keep:1 conversely:1 occur:4 information:2 end:2 holds:2 negation:2 arrangement:14 how:5 traversal:1 adjacent:1 optimal:6 flow:1 sin:3 binary:3 may:5 max:4 space:1 collection:1 applications:1 plane:4 summarize:1 data:1 parallel:7 realized:3 eindhoven:1 natural:1 third:1 indegree:2 lines:2 correspond:3 their:1 switch:16 ones:2 so:11 allow:5 definitions:1 encased:1 bipartite:5 orientations:2 operations:1 restriction:1 indeed:1 alternation:1 paper:2 through:1 counterclockwise:1 ity:1 satisfies:1 still:1 ieee:1 its:14 depending:1 perfect:4 bridges:3 group:2 maps:1 forms:2 whether:1 complex:1 fig:26 might:3 into:9 non:4 good:3 motivated:1 break:4 they:2 half:1 now:1 lichtenstein:2 discuss:2 easily:3 term:1 itself:2 randomized:1 always:2 university:2 presented:1 iff:1 each:35 crossing:33 found:2 polynomially:1 side:1 individually:1 weighted:1 ei:5 significantly:1 formulate:2 ej:4 hard:11 directing:1 idea:2 related:3 constitute:1 arrives:1 connect:2 our:8 operation:1 extract:3 maximizes:1 large:3 shown:6 factors:1 open:5 since:3 denotes:2 increase:1 replacing:1 mulmuley:2 formula:4 occurs:4 shows:3 log3:4 associate:1 discrete:2 bottommost:5 maintains:1 midpoint:1 given:10 free:7 traversing:1 difficulty:1 california:1 acute:1 e5:1 e4:1 e1:7 shortest:1 e2:7 pairs:6 selections:1 via:2 needing:1 put:2 times:2 turn:6 length:12 place:1 circuit:1 hence:10 crossings:33 first:4 already:8 clause:22 variables:5 xij:3 number:53 channels:6 instances:1 done:1 construct:4 directly:1 quality:2 polygons:6 size:2 little:1 necessarily:3 similarly:1 introduction:2 top:6 least:9 needed:3 intermediate:1 too:2 siam:3 speaking:1 gives:10 option:1 tool:1 exactly:2 eliminates:1 short:2 somewhat:1 than:11 e3:1 distance:11 determines:1 cyclic:4 tree:3 gabow:2 determined:1 were:3 bridge:10 false:10 generality:1 cabello:1 turned:1 mixed:1 say:2 dictate:1 need:3 curved:1 seek:1 clearly:1 sat:11 lie:2 angle:3 min:2 efficient:1 theoretic:1 latter:1 complexity:13 note:7 sciences:1 edge:79 build:1 interior:4 algorithms:11 tunnels:15 towards:3 unless:3 components:1 normal:4 any:33 reach:3 systems:1 most:10 satisfying:1 connected:1 printed:1 significant:1 formulae:1 pair:2 subset:1 segment:19 pages:2 postman:1 mumford:1 up:2 stronger:4 vertices:15 face:19 graphs:4 points:2 principle:1 exp:4 sum:3 fact:1 slope:4 selection:1 spaced:1 show:7 ending:1 minimizing:5 relation:1 drawings:9 eppstein:2 find:4 implementation:1 itai:1 state:9 topological:1 should:1 lemma:18 only:12 haverkort:1 employed:1 circle:3 over:2 rectangle:2 do:7 triangle:1 intersect:2 get:2 cannot:5 consecutive:5 respectively:1 conjunction:1 ds:1 closure:1 runs:1 contributes:6 arxiv:1 european:1 circuits:1 common:1 contain:3 qk:4 cycles:11 traverse:2 set:8 modulo:2 exists:8 achieved:1 violated:1 testing:4 bounds:1 connections:2 see:9 computer:2 projections:1 multicommodity:1 close:5 optimum:2 best:1 concern:1 detect:1 give:3 runtime:1 label:1 enough:3 smallest:2 between:17 drawn:9 boundary:4 approach:2 x23:3 creating:1 vertical:11 restricting:1 however:6 interfere:1 incident:1 key:3 come:1 tue:2 improve:2 restrictions:4 realizable:6 last:2 many:9 conclusions:1 equal:5 reconnecting:1 merging:1 objective:1 present:2 faces:12 contribution:1 whole:3 comes:1 otherwise:2 reduce:1 alternate:4 conclude:1 color:1 connection:1 address:2 corresponds:3 ptas:2 welzl:1 solve:4 maximize:1 cs:2 table:3 throughout:1 uci:1 better:1 described:2 leads:3 marc:1 create:2 locally:1 three:12 reduction:6 treat:1 prentice:1 expected:6 hardly:1 choose:4 direction:2 corresponding:4 easy:1 both:13 chan:1 interrupts:2 formed:5 new:1 irvine:1 observe:1 c2:4 c1:5 hardness:4 case:6 stacked:3 disconnected:1 straight:3 value:9 choices:1 will:7 near:1 optimization:10 suppose:1 freely:1 endpoints:1 mitchell:1 study:1 unpaired:2 planar:9 ve:2 geometric:1 chaotic:1 thus:7 them:4 cluster:1 arrangements:1 dual:1 seen:1 property:9 satisfiability:2 capture:2 perform:3 make:6 cross:13 same:8 orders:4 undirected:1 parts:2 largest:1 several:3 difficult:2 perimeter:1 visually:1 used:5 paths:2 assignment:1 intersects:2 edges:82 uses:2 frequently:1 2sat:4 cycle:19 scaling:1 lower:3 off:1 maximizing:1 possibly:2 minimize:5 makes:2 modeled:1 well:2 subtree:1 obviously:2 patterns:1 without:7 utrecht:1 involves:2 alleviate:1 sets:2 firstly:1 position:1 model:39 drawing:86 distances:5 tarjan:2 stores:4 just:1 less:1 generally:1 gdc:3 integer:1 yet:2 previous:3 visualization:1 overlapped:1 candidate:1 instance:9 point:6 node:1 hall:1 simple:3 belongs:1 versa:3 theorem:5 input:4 solvable:1 remaining:1 algorithmica:1 aspects:1 around:5 insert:1 evaluate:1 breaks:3 guibas:1 possible:4 inconsistent:1 np:15 know:1 background:1 using:6 part:4 intersection:2 apart:1 loss:1 like:2 follows:5 disks:1 specific:1 continue:2 either:8 become:3 essential:1 parity:4 because:3 envision:1 sequence:3 some:5 polynomial:5 sure:1 mirror:2 multiple:1 matching:7 recognition:1 nonzero:1 clockwise:1 dense:1 dimensions:1 lead:3 bottom:2 avoid:4 transactions:1 overlap:5 14th:1 contributing:1 does:3 connecting:3 provides:1 ics:1 intersections:1 proc:1 inserting:1 particular:1 algorithmic:4 minimization:2 problems:14 equivalent:1 perpendicular:5 broken:1 step:1 weaving:25 approximating:1 readability:3 about:1 x13:1 vlsi:1 x34:2 x35:2 o:40 15th:1 plus:1 complexities:2 augmentation:1 discusses:1 consequently:1 allowing:2 considerations:1 equally:2 computational:2 readable:2 image:2 within:6 lies:2 appropriate:2 references:1 determine:4 strip:3 balanced:1 proportional:1 eh:2 weight:5 van:2 additional:6 few:1 removing:1 there:22 question:2 long:1 width:2 quadratic:1 way:5 slopes:2 naturally:1 complete:2 form:6 forming:2 m2:1 but:3 construction:9 link:1 heap:3 line:29 true:12 faster:1 lncs:1 xi:5 compute:1 consist:1 uu:1 wish:2 inside:3 maximum:7 us:3 below:5 boards:1 ue:2 problem:10 define:7 similar:3 called:1 instead:1 constant:3 computing:5 certain:2 abstract:1 influence:2 remove:1 covers:2 general:1 globally:1 single:8 clauses:9 journal:4 partly:1 internal:1 triangles:4 constructed:1 minimizes:1 again:1 nl:3 polygon:26 no:25 whereas:1 when:2 arctan:1 application:1 other:17 electrical:1 details:1 becomes:1 department:3 mathematics:2 satisfiable:3 concerning:1 deviation:2 symposium:2 draw:2 separate:2 models:2 symbol:1 vertex:21 update:5 bundle:6 bounded:1 log:21 variable:22 leaf:1 else:3 structure:2 independently:1 implies:1 auxiliary:1 algorithm:10 vice:3 assume:4 required:1 together:1 original:1 perpendicularly:2 weights:1 time:29 far:2 international:1 n2:4 augmented:2 n4:3 having:3 evenly:1 |
0705.0415.txt |@word replacing:1 concept:1 partial:1 induces:1 magnetic:21 particular:2 results:8 leads:3 roy:1 gd:1 follow:1 research:1 contributions:7 localized:1 optical:3 whose:1 depend:2 calculate:1 technique:1 dyakonov:1 charge:30 mediated:2 petersburg:1 under:5 kλ:5 fatal:1 cm2:2 case:2 straightforward:2 thermalize:1 rise:2 schoenfeld:1 wave:1 electron:7 matrices:1 petroff:1 condition:3 yu:3 four:1 disregarding:1 hamiltonian:2 hanle:7 solution:6 trf:1 large:1 integro:1 vector:6 epstein:1 small:5 accumulation:5 smaller:1 zh:1 occurrence:1 consistent:1 literature:2 approximation:2 second:1 design:1 chen:2 further:3 dynamics:1 spectral:2 index:1 what:2 rate:1 sinitsyn:1 urst:1 zhao:1 expressed:2 3t:1 current:12 new:3 samarth:1 acknowledgments:1 contrast:1 edelstein:3 satisfy:1 degree:1 fiz:1 awschalom:1 respectively:2 component:1 κa:1 understanding:2 quasimomenta:1 byers:1 asymmetry:1 κx:1 free:2 mes:1 relaxation:4 consideration:1 along:3 coupling:5 equations:21 appears:2 obtained:8 great:1 institute:1 study:1 vectors:1 allows:1 approaches:6 safarov:1 usually:1 adopting:1 studies:3 cancellation:2 sci:1 halperin:2 via:4 although:1 mobility:2 semiconductors:2 9d:1 replace:2 illumination:1 use:1 proceed:1 would:2 commun:1 eτ:1 quasi:2 approach:9 ayy:1 therefore:1 taken:1 parkin:1 theoretical:2 more:1 introducing:1 formally:2 initiated:1 brings:1 operators:1 mishchenko:3 problem:1 berlin:1 controlling:1 varying:1 known:4 iv:1 iii:1 ottger:1 boeck:1 high:2 account:3 recombination:1 integrating:2 equation:5 work:1 remain:1 deficiencies:1 values:1 following:3 example:2 mσ0:1 f0:7 continuity:2 wang:1 indicated:1 give:1 predict:4 expanding:1 states:5 collision:5 numbers:1 arise:1 particles:1 uncompensated:1 tao:1 occur:1 calculated:1 guarantee:1 information:1 respective:1 zhuravlev:1 rather:1 describes:2 discussion:3 kτ:4 write:1 till:1 fα:4 pure:1 manipulating:1 instead:2 ordinary:1 axis:4 sin:5 circular:3 product:1 description:4 may:1 thermodynamic:1 fz:9 after:1 derived:7 consequence:1 plane:19 saxena:1 waves:4 parallel:1 forschungsgemeinschaft:1 fλλ:1 wegscheider:1 effective:2 light:2 festk:1 deutsche:1 st:1 fictitious:2 so:2 allow:1 jiα:2 definitions:1 sinova:1 sf:2 typical:2 wavelengths:1 interpretation:2 help:1 hierarchy:1 jungwirth:1 over:6 years:1 abstract:1 course:1 paper:2 ωc2:1 mentioned:1 kinetic:4 suffer:1 excitations:4 its:5 chemical:2 derive:1 decay:1 energies:1 interesting:6 temporal:1 τe:5 coordinates:2 li:3 absence:1 offers:1 degrees:1 ωc:2 derivative:1 into:3 correspondence:2 ri:1 motivated:1 nunez:1 evolution:4 disregarded:1 mention:2 effects:9 focus:2 rotation:1 inelastic:1 semiconducting:1 hall:7 nor:1 sτ:2 easily:2 february:1 µ2b:1 presented:1 iγω:1 2d:3 sufficiently:2 fabian:1 mode:1 qx:3 2m:1 side:2 characterized:1 mean:1 homogeneous:7 differential:1 financial:1 generation:4 ed:1 energy:6 ef:1 related:1 applicable:2 inhomogeneous:2 martin:1 extended:4 ey:2 ex:3 ez:1 quantum:2 our:5 drude:1 eq:17 borghs:1 mat:2 shown:3 matrix:7 solved:1 furthermore:1 since:1 rx:2 ry:2 rz:2 denotes:2 semiconductor:2 fx:3 dκ2:3 mα:1 fy:2 culcer:1 induced:5 ref:1 correct:1 eksp:1 foundation:1 linear:1 possibility:2 drives:1 completely:5 besides:1 put:2 definition:1 interaction:2 derivation:3 massive:1 bernevig:3 transfer:1 corrections:4 teor:1 neglect:1 first:1 origin:1 initial:3 reveals:1 third:1 semicond:1 number:2 reaches:1 hitherto:1 restrict:1 another:3 electronic:3 appl:2 illustrate:1 akλ:3 given:5 shytov:1 introduction:2 unknown:1 eqs:7 system:4 indicate:1 perturbations:1 brevity:1 expand:1 calculations:2 niu:2 structures:1 final:4 speaking:1 gives:1 relationship:2 trapped:1 asymmetric:1 transverse:2 flatte:4 short:2 clowes:1 space:1 manipulation:1 zakharchenya:1 than:2 diffusion:18 kind:1 polarized:4 unfortunately:1 bel:1 fuchs:1 fieldinduced:1 approximations:2 zero:4 annihilation:1 depolarization:1 yang:1 were:3 kov:1 treated:1 russia:1 result:5 function:3 dτs:1 takes:1 remained:1 fluctuation:1 cohen:1 damped:1 measure:2 already:3 manner:1 close:1 exchanging:1 elsevier:1 cumbersome:1 any:1 2deg:11 heff:9 strength:3 angle:4 describe:2 latter:2 responsible:2 able:1 polarization:14 k2:1 emphasis:1 potential:3 combining:1 εk:11 photogenerated:1 εf:8 begin:1 fields:2 electric:39 shall:1 trσ:1 impurities:1 most:1 boltzmann:1 germany:1 measured:1 inconsistency:1 especially:1 axx:1 steady:5 fx0:2 physica:1 order:2 astonishing:1 accounted:2 electrons:4 χb:1 exp:1 ky:1 kx:2 quantity:1 2m2:1 disturbances:2 recipe:1 purely:1 relation:2 prettl:1 based:3 knowledge:1 parameters:1 written:2 should:1 only:1 summarizing:1 employed:1 constant:4 ivchenko:1 achieve:1 equilibrium:2 dn:3 get:2 dependent:1 express:1 aα:1 cannot:1 amico:1 nonequilibrium:1 expresses:1 during:1 prime:1 liu:2 processes:1 precession:2 densities:2 founded:1 qy:2 numerous:2 arxiv:1 summary:1 magnetoelectric:1 zutic:1 predicted:1 shi:1 valid:1 view:1 coefficient:2 set:2 exists:2 physically:1 lifetimes:3 depends:1 us:5 δjx:1 δjz:1 alternative:1 best:1 still:1 inappropriate:1 macroscopic:1 azz:1 state:7 determined:1 correctly:1 between:6 µe:11 neither:1 heterostructures:1 conditions:1 µb:4 hence:1 recently:3 nature:1 restricting:3 weak:8 δj0:1 vanishing:1 burkov:1 jh:1 relying:1 received:2 prospects:1 gratefully:1 many:3 taking:1 conclusions:1 σf:1 acknowledged:1 agree:4 propagation:1 dated:1 contribution:1 confronted:1 τd:2 experimental:3 ansatz:1 among:1 separation:2 cm:1 point:2 seems:2 each:1 period:2 dimensional:2 exploit:1 weiss:1 respect:5 vignale:2 smith:1 ps:2 described:3 tuning:1 source:1 addition:1 locally:1 due:6 been:5 permanent:1 treat:4 interest:3 basic:5 microscopic:1 ak:3 sarma:1 attractive:1 firm:1 field:58 direction:1 arises:2 corresponding:1 both:5 quantities:1 gas:3 cos:9 maksimov:1 confinement:1 tarasenko:1 external:4 stems:1 careful:1 spin:93 former:1 present:1 applied:1 hughes:1 pacs:1 solid:1 conserved:2 value:2 τs:22 aim:1 technical:1 replaced:2 behavior:1 promising:1 procedure:1 studied:1 orientation:1 2τs:3 coupled:14 xiao:1 according:2 ii:1 vs:1 cond:2 zhang:3 around:1 different:2 erroneously:1 stimulates:1 things:1 appreciable:1 cross:1 same:1 pauli:1 modification:1 regime:2 prerequisite:1 independent:3 used:7 effect:20 hand:2 driven:2 moment:2 stripe:1 macdonald:2 chang:1 kleinert:3 recent:4 luminescence:1 hopping:5 framework:1 disappears:1 well:9 polarons:6 solve:1 components:8 simulated:1 quantitative:1 model:2 κy:1 magnetization:2 perel:1 afore:1 being:2 obtain:11 shape:1 mistakes:1 paul:1 scattering:5 captured:1 previous:2 oriented:4 renewed:1 density:14 similarities:1 character:1 exclusively:2 iω:1 lattice:1 εn:3 transformed:1 treatment:2 untherodt:1 remaining:1 momentum:1 real:2 iκ:4 analogy:4 susceptibility:1 thermalized:2 disagreement:1 term:7 bazaliy:3 background:1 using:2 variants:1 hankiewicz:1 orenstein:1 strengths:1 necessary:2 eex:1 particle:2 alternatively:1 jyz:1 exploiting:2 δf:6 essential:1 accessible:1 because:2 deal:1 creation:2 phenomena:1 galvanic:2 experiments:1 born:1 repeat:1 apply:1 oscillations:2 ourselves:2 transport:11 provided:1 scale:1 lead:3 support:1 demonstrates:1 avoid:1 integration:2 meier:1 rashba:10 provides:2 propagating:1 refer:1 biased:1 2µb:7 equivalent:3 arbitrary:1 perpendicular:2 likewise:2 lasts:1 found:1 refers:3 stage:1 central:1 freedom:1 dependence:1 o:1 2i:2 mutually:1 range:2 carrier:2 larmor:2 introduced:1 consequently:1 rev:25 soi:22 h0:1 within:1 integral:6 jα:1 appropriate:2 right:2 determine:1 einstein:1 amsterdam:1 rely:1 statistics:1 van:2 additional:2 elastic:3 assumed:1 strictly:1 there:5 long:2 dispersion:1 ee:4 accordingly:1 much:3 low:1 namely:1 forward:1 was:7 lowest:2 tricky:1 complete:1 form:4 some:1 gz:2 but:3 δjα:1 plague:1 larger:1 ioffe:1 line:3 kf:1 dεk:1 characteristic:1 ωs:4 fz0:3 up:1 devices:1 ur:1 expedient:1 ωk:6 frequency:5 fermi:4 observation:1 distribution:2 similar:1 laplace:2 russian:1 clarke:1 associated:4 stronger:1 universal:3 measurement:2 influence:3 jin:1 single:1 exist:1 wavelength:1 lifetime:1 distributions:1 physical:2 whereas:1 when:3 application:2 other:3 spatial:3 2dm:1 out:3 optically:1 polar:1 elements:1 zhou:1 ganichev:1 models:1 searched:1 drift:16 variation:1 includes:2 technol:1 variable:1 impurity:2 ago:1 oscillates:1 auxiliary:1 established:1 interval:1 pseudo:2 orbit:4 mass:1 time:12 serious:1 4d:1 requires:1 lett:11 |
0705.0416.txt |@word diviseur:14 sci:2 sch:12 corps:5 ede:1 alg:14 consiste:2 proposition:13 travaux:1 evissage:1 canoniques:2 kato:1 inverse:9 facilement:1 tx:5 donner:2 iii:1 cherch:1 tr:4 automatiquement:1 passage:2 quasi:4 zred:1 erentiels:8 distingu:4 th:18 stable:4 ebres:12 aux:6 norm:3 erateur:2 remarquons:3 conjecture:9 md:1 continues:1 matsuda:4 invent:3 voit:2 voir:4 groups:1 fini:14 sans:1 isomor:1 erivations:1 louis:2 notes:1 rγ:13 associe:3 eve:2 umh:1 bxi:3 croisements:3 suite:2 foncteur:14 mo:1 injectif:3 programme:1 unipotence:1 tel:12 courbe:6 vides:1 coordonn:6 directement:1 direct:1 second:1 quelques:1 degr:8 grˆace:5 section:11 cohomologie:7 notera:3 eparation:1 version:1 sur:86 eries:1 peuvent:1 propre:4 edant:1 erieure:1 cela:10 coefficient:1 conf:1 donnons:1 morphisme:30 erieur:1 principales:2 les:45 tangent:2 ements:1 edent:7 maintenant:1 bk:3 logarithmic:2 morphisms:1 division:1 root:1 cette:10 erateurs:8 lecteur:2 erivation:1 paris:1 base:1 action:10 que:92 fourier:4 sup:4 reste:3 quotient:2 via:1 apr:20 notons:7 kedlaya:5 outre:1 tp:1 bri:1 inverses:3 univ:3 fournit:1 unit:1 tels:6 prove:1 exacte:2 suivantes:1 semble:1 appliquant:1 emontrer:4 france:3 vol:1 tm:2 etude:1 remercier:1 associated:1 assez:5 type:2 exacts:1 andr:4 fractions:1 strasbg:2 partons:1 cit:1 ecole:2 immersion:5 aurons:1 surjection:2 symboles:1 berlin:1 appel:2 duale:1 erations:4 turrittin:1 iv:2 finie:8 sont:14 yves:1 springer:1 gauche:12 frobenius:9 entiers:1 cas:21 car:3 equation:1 des:82 cohomologique:4 pour:50 cat:5 ere:18 sous:9 www:1 telles:1 triviale:3 vu:1 f0:10 abord:4 efini:2 posons:4 figure:1 sensu:1 construit:4 vers:2 ram:1 dxi:7 suivant:8 spf:4 prenant:1 ene:1 nouveau:1 six:2 rapport:2 clair:1 convergents:1 hi:1 factorise:1 classiques:1 egale:2 cristal:4 fr:2 allons:1 description:4 utilise:4 fx:1 notre:4 cohomologies:1 pasteur:2 applications:1 adic:3 inst:3 vient:1 multiplication:1 horizontal:1 da:1 fl:17 ou:5 permet:7 obtient:3 esiduel:1 etiques:14 sp:20 correspond:4 element:1 si:14 fp6:1 courbes:8 esent:1 normaux:4 nous:36 sa:6 unipotent:6 induit:9 se:6 invariance:1 restriction:22 directe:9 puisqu:1 over:2 ordre:4 esultat:7 peut:12 comme:40 erifie:4 banach:1 dualit:1 envoyant:1 lemme:14 dont:8 lf:2 ld:6 le:106 eses:7 forme:3 la:134 rappels:1 ramen:2 affine:5 dispose:4 logarithmiques:3 changement:1 crew:3 termes:1 ecision:1 fid:1 erences:1 morphismes:3 eciser:1 mettre:1 maximal:1 eme:16 non:4 exemples:2 connexe:1 stratification:1 trouve:1 publi:1 rigide:3 egorie:4 cet:6 soient:8 qu:14 devient:6 nos:3 faire:1 eter:1 university:1 interpr:1 avons:2 vectoriels:2 ensemble:1 homomorphisme:8 noterons:2 rennes:2 universit:7 complet:2 el:3 en:87 ek:2 fq:1 ee:25 series:2 eg:3 parties:2 ec:17 aide:1 autre:6 equivalence:1 edente:3 pourquoi:1 es:35 er:8 conjectures:1 partir:2 montrons:4 engendre:1 traduit:1 res:25 mebkhout:4 crucial:1 faisceau:24 toute:2 rf:2 ren:1 valeur:1 rel:2 lecture:1 formule:1 math:16 cη:7 theory:2 ast:1 carr:2 platitude:2 hopkins:1 induite:1 belgique:2 caro:8 dire:1 rham:2 qui:30 inductive:4 avenue:1 ecis:2 construire:3 renvoyons:1 geometry:2 hainaut:1 ajouter:1 gruyter:1 principe:1 faibles:1 avec:8 corrections:1 souvent:1 first:1 simplifier:1 xi:20 xn:1 eche:17 finiteness:1 suffit:11 number:1 donc:26 modulo:1 proposons:2 dimx:4 ont:2 donn:5 droite:15 strasbourg:2 hasse:1 introduction:2 associ:11 monodromie:4 terminer:1 their:1 ıncide:1 compos:5 fonctions:3 structural:1 structures:1 kiran:2 mini:1 travail:1 ainsi:15 envoie:1 norme:4 fabien:2 part:2 foncteurs:4 fontaine:1 commence:1 faisceaux:21 existe:12 supposer:5 princeton:3 dans:38 lisse:9 sens:3 formels:3 comparaison:3 encore:2 passant:3 complexes:3 nuls:2 rac:2 ann:8 telle:2 aussi:7 argument:1 curves:1 lin:21 ant:1 angew:1 spectrale:1 provient:2 disjoint:2 eduire:1 eserve:1 reine:1 adolphson:1 faisons:1 constructions:3 communaut:1 lim:8 alors:29 vecteurs:2 suivants:1 note:11 ebre:2 deux:10 rennes1:1 isocrystal:2 mˆeme:5 cnrs:1 trace:9 obtenue:2 eristique:2 etant:2 compl:7 plat:9 algebraic:2 jul:1 plac:2 avanc:1 diagonale:1 ecal:1 ki:4 points:1 verlag:1 deuxi:5 kx:2 dcoh:11 fact:1 premi:4 resz:3 qki:2 proviennent:1 show:1 fond:1 seule:2 notations:7 emonstration:18 conclut:2 passe:1 analogue:8 erisque:1 efinissant:1 isocristaux:21 locaux:1 fibre:2 anneau:6 x1:2 assertion:9 emoire:1 erentielles:2 bases:1 coefficients:3 dwork:1 libre:1 isomorphes:2 local:2 ematiques:1 plate:2 commutatif:3 triangle:5 muni:15 notation:1 di:1 montrer:11 de:338 lisses:5 edentes:2 trouver:1 montre:6 dz:1 mieux:1 dx:246 erent:33 dt:1 du:45 ds:1 egre:1 surconvergents:21 erents:11 esolution:1 ema:6 partie:7 ouverte:1 transposition:2 arxiv:1 canonique:22 fixer:1 alan:1 passons:2 tension:1 leur:1 oxi:6 oxk:1 ecrire:2 endomorphisme:1 fait:8 injections:1 emas:7 ωxi:2 ses:2 locale:13 national:1 module:81 correspondent:2 relative:4 nul:2 descriptions:4 arf:1 sem:2 obtenir:2 utilisant:2 situation:1 erer:1 preuve:7 vari:1 puisque:5 sorte:2 bien:4 edents:2 facteur:1 lui:1 geometric:1 munis:4 effet:4 berthelot:14 eterminant:1 analogues:3 jm:4 terme:3 auteur:1 utilisons:1 ement:2 come:1 ja:1 vrai:1 recherche:3 edemment:2 esultats:6 implique:2 mrtn:1 restreint:1 limite:5 tous:2 tout:11 une:48 ete:1 coh:45 holonomic:2 holonomie:4 baltimore:1 eriquement:2 comment:2 ci:3 co:1 globale:1 point:1 simple:2 devrait:1 descente:1 cohomology:2 cf:4 ce:29 scientifique:1 identique:3 diagramme:5 besoin:1 commen:1 diff:12 corresponde:1 connexion:6 seulement:1 lorsqu:1 rend:2 pr:26 corollaire:2 pp:1 ag:1 eciales:1 px:2 hypoth:8 due:1 cent:1 int:1 reduction:2 ed:1 formelles:2 certain:3 pi:2 utilis:1 pm:1 concernant:2 tangents:1 formel:3 identifie:7 remarques:1 bull:2 rang:2 convergent:5 euclidienne:1 locales:4 case:1 bimodule:1 anneaux:2 ait:1 mais:1 provenant:3 suppose:2 monodromy:4 pouvons:3 faut:1 tant:2 contexte:4 projectifs:1 cons:2 examiner:1 scient:1 beaucoup:1 eral:3 projectif:1 eduction:6 ii:15 soit:32 im:3 il:35 dual:1 rig:5 id:1 particulier:7 prolongement:1 isocrystals:8 par:49 pas:4 puis:1 endomorphismes:1 partielle:1 filtrations:1 arguments:1 grand:5 finite:1 ils:2 erence:3 http:1 laboratoire:1 rj:1 croissante:1 v0:1 mani:8 parfait:2 etales:1 ematique:1 relies:1 finalement:5 gauss:1 entre:5 permettent:1 dessous:1 analysis:2 supposons:2 ces:14 dimension:7 ealit:1 theorems:1 inversible:3 resp:18 ependent:1 repose:4 respectivement:3 compatibilit:2 eorie:3 cohomologiques:3 admettent:1 concentr:4 vectoriel:1 mons:2 europ:2 stabilit:1 vide:1 unipotents:4 ecompose:1 resultat:1 lett:1 theorem:4 born:2 enfin:3 doctorat:3 erique:2 egal:3 aspects:1 rappel:1 efinition:4 caract:6 esum:1 variante:1 adique:8 quelconque:1 isomorphisme:31 suivante:6 press:2 using:1 correspondant:1 grenoble:1 mod:3 exactement:1 semi:3 christine:2 mesure:1 fonctorialit:1 ees:7 explique:1 donne:11 ai:7 een:1 topologie:3 immersions:1 obtenu:2 mathematical:1 auteurs:1 illusie:1 intervient:1 overconvergent:3 suivent:1 pierre:1 espaces:4 ementaire:5 deduce:1 b0:1 emontr:5 fibres:1 images:5 etique:6 sommes:2 eraliser:1 ouvert:11 eristiques:1 ici:8 est:153 complexe:6 esulte:3 evement:2 tube:2 ependamment:2 ak:5 efinit:5 ese:5 efinis:2 efinir:1 proc:3 collaboration:1 reprenons:1 explicite:1 eduite:1 erifier:6 localement:2 bb:3 isomorphe:5 pose:2 bi:14 tordue:2 ecialisation:1 pla:1 etudier:1 exemple:1 article:1 bx:27 seconde:2 topologique:1 compose:1 identifier:2 extension:2 eaire:20 dˆ:1 ach:1 o:25 eralisation:1 plus:11 ox:58 ceci:2 ov:1 idd:1 constate:1 os:2 chapitre:1 op:13 duke:1 soc:2 dessus:4 image:15 johns:1 ferm:5 ˆetre:1 son:4 variable:1 earit:1 derni:1 champ:1 lieu:2 essentiellement:1 rappelons:5 institut:1 log:13 ide:2 erisation:3 question:2 transform:1 long:4 tsuzuki:3 milne:1 suit:2 arithm:20 etermin:1 witt:2 ef:2 logarithmique:3 mars:1 eduit:10 cedex:1 construction:2 etale:12 formalisme:1 injection:3 valuation:1 padova:2 etrie:2 ωx:19 penser:1 eseau:1 versions:1 compactification:1 mat:2 ωr:2 smooth:1 scalaires:2 um:2 supi:1 munit:2 un:153 grothendieck:2 directes:5 entendu:1 ud:1 walter:1 celle:6 ex:1 ac:1 adjonction:6 proved:1 ad:5 egalit:1 eriv:2 curve:4 abstract:1 egories:1 am:1 general:1 calculer:2 xiii:1 au:23 adiques:2 eduisons:1 ind:3 finitude:1 erie:1 remarquant:1 trento:1 no:6 relatif:2 ne:4 application:3 recouvrement:1 semistable:1 arithmetic:3 etat:1 chacun:1 irma:3 introduit:3 naturellement:1 choisir:1 consid:10 enonc:7 eciale:2 formal:1 structure:27 descartes:1 independently:1 4e:1 rue:1 niveau:5 modules:55 eom:2 eor:11 egalement:3 constantes:1 eralit:1 |
0705.0417.txt |@word decelerate:1 limited:4 ceases:1 caused:2 broaden:1 excellent:2 amplifier:4 results:8 consists:1 disk:2 causes:3 tilt:2 certainly:1 mounted:3 ver:1 technique:3 supported:1 finally:1 subband:1 wako:1 under:1 analogous:1 cm2:1 case:2 probe:1 advantage:1 outside:1 far:4 frequencies:11 subject:1 wave:3 electron:36 hirosawa:1 difference:4 capillary:3 dykman:2 groups:1 level:5 did:1 ref:1 tokyo:1 proposals:1 large:2 discrete:1 adjust:1 small:2 noted:1 upper:4 smaller:4 zh:1 consistent:1 detection:2 direct:1 surrounding:2 rate:2 dordrecht:1 qualitatively:1 estimated:5 linear:2 even:1 trapping:3 representative:1 section:4 remain:1 expressed:5 cell:13 experiment:3 above:9 elucidate:1 new:1 waveguide:5 method:2 contrast:1 thin:1 coefficient:6 lea:5 eext:2 full:16 dahm:2 fiz:1 respectively:5 component:1 here:5 atoms:6 explore:1 operating:1 mes:1 address:1 depend:2 strong:2 intrinsic:1 appears:1 change:5 obtained:10 great:1 technical:1 shift:2 study:3 larger:5 suggests:1 proportionality:4 conveniently:1 narrow:2 studies:3 plotted:1 diameter:2 mobility:5 explained:2 highly:3 modulated:1 decrease:1 outer:1 total:5 derivatives:1 ando:11 problems:1 working:1 intensively:1 positive:3 contains:1 quasiparticles:3 next:1 discrepancies:1 few:2 incomplete:1 therefore:8 lock:4 taken:6 theoretical:4 more:5 separated:1 flat:1 setup:1 successful:1 becomes:3 apparent:1 odinger:1 needed:1 interaction:2 controlling:2 surface:26 thermionic:2 particular:2 known:1 cases:1 hold:1 producing:1 must:1 me:1 sample:6 account:2 ma:1 room:1 grant:1 mm:10 science:2 equation:2 work:8 oscillator:5 modified:1 mk:3 theories:1 antonov:1 mw:1 bias:5 values:3 temperatures:17 following:1 grimes:6 kapton:2 computers:1 modulation:6 figure:4 give:2 calculation:8 thermally:1 organized:1 near:5 states:9 indicates:1 performed:5 counting:1 hydrogen:1 information:1 needs:1 monitoring:1 varied:3 provide:1 helium:18 divided:1 pressing:1 utilize:1 strikingly:1 very:3 varies:2 parameter:1 filament:2 circular:1 corbino:5 hurdles:1 mat:1 may:6 immersed:1 use:2 derived:2 containing:1 diagram:2 plane:6 fits:1 horizontal:1 law:1 revealed:2 parallel:1 types:1 man:1 short:1 keio:1 effective:3 spectra:7 lines:2 ghz:7 edited:2 so:7 substrates:1 allow:1 decreasing:2 vapor:20 order:7 typical:2 operations:1 ito:1 attenuator:2 wigner:1 shield:1 produces:1 over:2 move:1 mainly:2 feature:2 stability:1 resonant:7 thermal:2 paper:17 pulses:1 during:3 mentioned:1 japan:4 linewidth:47 its:2 position:1 group:1 exclusion:1 fit:1 located:1 energies:1 interesting:2 kluwer:1 decreases:7 edge:7 detected:2 systems:3 constitutes:1 rabi:1 mail:1 main:1 decades:1 into:12 overcome:1 cls:1 modestly:2 interference:2 affected:1 schematic:2 lambert:5 investigated:2 walls:1 penetration:1 they:6 half:1 sweeping:1 now:1 yu:3 realize:2 dielectric:2 densities:1 easily:1 term:4 finite:1 oxygen:1 inhomogeneity:5 university:1 drop:1 xx:1 desirable:1 realistic:2 filling:1 magnitude:5 transmitted:2 trap:1 radial:1 found:8 beneath:1 side:1 lorentzian:3 mean:1 individually:2 en:1 directly:2 pursue:1 generation:2 series:1 energy:9 idea:1 mm2:2 constitute:2 inhomogeneous:7 conductance:1 frequency:15 static:3 entering:1 measurement:15 quantum:16 laboratory:1 operation:1 transitions:22 tenth:2 ring:1 out:2 heights:1 given:1 acknowledgment:1 space:1 gradient:1 furthermore:2 since:4 crucial:1 research:1 differ:1 collisions:5 dominated:2 denoted:3 formula:3 electronics:1 induced:3 cause:2 oscillators:1 shows:6 inevitably:1 after:1 theory:9 barrier:1 interactions:1 mechanisms:4 microfabrication:1 free:10 five:1 completely:1 advantages:1 detecting:2 fixed:4 derivation:1 created:2 could:2 transition:18 feasible:1 motion:1 iye:1 produce:2 exponentially:2 circuit:1 refinements:1 hence:1 teor:1 top:4 silver:2 first:7 origin:2 copper:2 features:1 rydberg:1 number:3 improving:1 utilized:1 employing:2 done:2 long:2 suspended:1 mixing:2 impossible:1 array:1 precisely:1 electronic:1 angular:1 separation:4 passes:1 subbands:1 rightmost:1 sheet:6 temperature:27 width:6 introduction:1 data:16 interact:1 system:8 adopted:1 plastic:1 their:3 cooling:2 too:1 realization:1 perfectly:1 structures:1 williams:1 inner:6 ceiling:1 sealed:1 relationship:2 trapped:2 asymmetric:6 square:1 fittings:1 part:2 1ev:1 kept:1 eliminated:2 holder:1 than:12 observed:12 quantitative:1 liquid:38 coherently:1 double:3 second:1 saitoh:3 superfluid:1 computer:5 amplitude:3 were:6 contribution:3 tion:1 wiley:1 extracting:1 behaviors:2 bridge:1 modulating:1 cryostat:3 separations:1 unchanged:1 measure:3 spectrum:6 attenuation:1 substantial:1 emission:4 distorted:2 seen:6 orders:1 eq:4 issue:1 mechanism:3 high:2 potential:5 absorbed:1 thermometer:1 bailey:1 negligible:1 detector:1 conductivity:2 persistence:1 accuracy:4 gunn:1 multiple:8 electric:10 trace:1 normal:1 viscosity:1 impurities:1 detect:1 sheets:2 comparisons:1 extremely:2 refrigerator:2 lorentzians:1 lorenzian:1 isotopic:1 windows:1 neighboring:2 prevails:1 later:1 metal:3 typeset:1 braunstein:1 electrons:26 principle:2 physics:2 fitted:4 precise:1 show:5 text:1 agreed:1 authors:1 scattered:2 least:1 infrared:2 discovered:1 curves:1 keywords:1 determined:10 thirds:1 agrees:4 ground:5 current:1 removed:1 based:3 explain:2 kono:5 ikegami:2 enough:3 should:1 only:6 minimize:1 factor:6 employed:2 local:1 discuss:5 areal:4 do:1 dominant:1 means:1 succeeded:1 db:2 scalable:3 ones:2 bolometer:5 negative:2 exchanger:2 sse:34 platzman:2 conversion:1 showed:1 arxiv:1 cells:1 tuned:1 investigate:1 common:3 through:3 transistors:1 inside:1 view:3 body:1 set:7 electrodes:11 relaxation:1 sensitivity:1 deconvolution:1 maximum:1 relative:1 depends:2 electrostatic:1 radius:1 result:2 discussions:1 close:1 electrode:11 techniques:1 surfaces:1 still:1 placed:1 subsequent:2 µw:3 diode:1 µs:1 µm:2 underestimate:2 state:9 future:1 various:1 between:17 boundary:1 conditions:1 across:1 comparable:2 vertical:1 qubits:5 resonance:8 emitted:1 jp:1 however:10 scalability:2 incident:2 succeed:1 normalized:1 ripplon:6 hydrogenic:2 response:1 carbon:1 papageorgiou:3 distribution:1 lineshapes:2 improve:1 both:13 discussion:1 last:1 grounded:1 brown:2 many:1 taking:1 conclusions:1 asymmetry:8 attributed:4 agree:1 sensitive:2 lo:1 qubit:4 experimental:11 eksp:1 key:1 cm:10 conclude:3 simple:1 others:1 sweep:1 environments:1 height:1 dimensional:5 denis:1 coordinates:1 bγ:1 moreover:2 broadening:10 jetp:1 described:1 tuning:4 locally:1 due:7 been:3 much:2 interest:2 richards:4 flexible:1 fig:17 describe:1 partly:3 formed:2 resistance:1 gap:1 rekindled:1 andrei:1 determination:1 passing:1 systematic:1 derivative:6 general:1 former:1 present:8 applied:3 splits:4 exponential:2 ǫd:2 solid:2 might:3 originate:1 value:1 rectangular:2 will:6 while:6 promising:2 report:1 aid:1 real:1 vb:14 studied:4 jpn:16 sectional:1 micrometer:2 discrepancy:9 middle:1 vs:1 cond:1 vanish:1 technology:2 around:2 different:3 develop:1 satisfy:3 perform:1 suggest:1 make:1 radiation:5 cross:2 same:2 clearly:1 prevented:1 another:1 split:2 pauli:1 plates:1 several:8 difficult:2 independent:5 clear:1 used:3 peaks:12 see:1 numerical:1 effect:5 hand:1 moment:1 levels:1 liquids:1 introduce:1 potentials:1 cryogenics:1 fabrication:1 fano:2 lower:5 schr:1 charges:1 makes:2 well:8 bohr:1 academic:1 without:1 solve:1 hiyoshi:1 coordinate:1 repulsive:2 model:1 audio:1 drawing:1 cryogenic:1 usual:1 proposed:3 less:2 lowest:1 obtain:5 voltage:8 λe:1 positions:1 scattering:13 ministry:1 previous:5 burns:1 interestingly:1 candidate:1 density:14 absorption:19 thick:1 fitting:11 hall:1 source:1 greatly:1 attractive:2 excited:6 scientific:1 identical:1 physical:1 increased:1 read:2 possible:4 increases:1 jpsj2:1 vacuum:1 using:1 unique:1 riken:2 loss:1 tail:1 necessary:1 helpful:1 excluding:1 follows:1 signal:7 sized:2 chamber:2 mhz:8 epoxy:1 fully:1 tungsten:2 become:1 dilution:2 suto:1 reduced:1 permittivity:2 scatterers:1 because:4 agreement:1 smoothly:1 some:3 ripplons:4 calculated:4 respect:1 oscillations:1 indirect:1 transport:4 dense:1 excitation:1 bottom:2 resonances:5 thank:1 microwave:24 does:2 eliminate:1 assuming:1 leftmost:1 imply:1 measuring:4 varying:1 coated:1 nonuniform:1 power:9 plot:2 microwaves:5 each:1 perpendicular:4 expansion:1 linewidths:10 although:4 output:1 losing:1 analyses:1 properties:2 comparison:2 about:9 boards:1 origins:1 discussed:1 dependence:9 o:2 range:3 repulsion:1 obeys:1 neighbor:1 introduced:2 slightly:1 block:2 homogeneous:1 soc:16 rev:10 image:2 within:2 splitting:1 λe2:2 three:2 down:5 michael:1 finely:2 references:1 determine:1 sov:1 proportional:4 theoretically:1 measured:5 there:1 stark:6 capacitance:4 appl:1 quanta:1 low:15 way:3 ed:1 was:14 function:8 rees:1 form:1 attempted:2 adjusting:1 but:4 heat:2 lowered:2 underestimates:1 atom:9 line:3 highest:1 he:67 powder:2 made:3 applying:3 temp:3 understood:1 whether:1 prevents:1 attenuate:1 smooth:1 up:1 crystal:1 below:11 problem:2 similar:2 called:1 regimes:1 strongly:2 intersubband:26 khz:1 ab:4 constant:3 computing:5 contribute:3 condition:2 denote:1 insb:3 proper:2 single:8 yokohama:1 our:4 controlled:1 education:1 check:1 film:1 regime:3 compared:1 nm:1 dotted:3 no:3 collin:7 when:3 inset:1 ng:4 field:13 other:5 details:1 holding:6 spatial:5 department:1 scan:3 enlarged:1 ns:17 kv:1 deviation:2 explaining:1 elements:1 lineshape:8 plate:1 distance:2 shown:6 variation:2 stay:1 replace:1 generated:1 important:3 peak:23 variable:1 decoherence:5 structure:9 independently:1 individual:1 longer:1 coulomb:3 typically:1 required:2 vch:1 depth:5 mass:1 parallelism:7 time:9 inaccuracy:1 serious:1 n2:1 backward:1 lett:8 external:1 |
0705.0418.txt |@word ck:24 ci:13 arxiv:1 rq2:1 cl:2 vi:6 ap:1 xi:20 w1:1 q2:14 log:2 ψw:1 γk:5 rm:1 αk:5 yi:5 stat:1 may:1 iµ:1 wq2:1 wi:9 βkl:2 c1:1 fk:4 rq:2 rµ:1 tº:2 pδ:2 γkr:2 pº:1 tµ:1 lε:2 exp:4 wopt:1 unk:1 βk:6 |
0705.0419.txt |@word neighbors:1 concept:1 sci:3 consider:3 pointing:2 skip:1 forbidden:2 dynamic:1 focus:1 eds:2 proposition:12 generalize:1 comments:1 gl:9 cases:2 gh:1 whose:8 cardinality:1 depend:2 aug:1 graph:58 removal:2 finally:2 those:1 under:3 analogous:2 undirected:36 worth:2 sent:1 hypertree:1 g2:9 g1:8 edn:1 rise:1 results:4 denoted:2 every:4 decide:3 summarized:1 difference:1 encounter:1 disconnected:1 presented:2 eva:1 notes:5 glues:1 try:1 solved:4 team:1 aachen:1 noted:3 lncs:2 force:5 occurrence:2 lecture:5 direct:1 nski:1 second:3 design:2 expressive:1 linear:7 even:2 nothing:1 what:3 lemmas:1 appear:1 section:13 reasoning:1 henceforth:1 designing:2 3c:13 shared:1 lenzi:2 outgoing:1 notions:2 degree:8 never:4 component:12 here:4 address:2 directions:1 path:9 along:1 quite:1 appears:1 remark:3 technical:1 study:1 studied:1 completely:1 glg:3 suggests:1 survey:1 pick:1 biconnected:12 deg:3 makes:2 gottlob:1 recursion:1 useful:4 family:1 win:3 logical:2 relabelings:1 should:1 tools:4 unit:2 use:5 takes:1 would:2 prove:5 distinct:9 played:1 chooses:1 next:1 vol:1 call:2 therefore:7 wondering:1 scope:1 selects:1 until:1 more:2 sort:1 initial:2 operators:1 hereby:1 constructs:2 berlin:3 terminates:1 normalized:1 particular:2 known:7 foundations:3 hole:2 vpn:1 iii:2 must:2 topic:1 springer:9 isomorphism:1 gℓ:10 ser:2 characterize:1 ed:2 recall:3 setup:1 work:1 superstructure:3 theories:2 suggestive:1 kozen:1 resources:1 following:8 courcelle:1 arrive:1 example:3 proof:10 point:13 claim:1 figure:4 give:3 ak:16 allowed:1 share:1 accept:1 states:1 arise:1 simple:10 verlag:4 csl:1 end:4 goal:5 syntactic:1 verify:1 eg1:2 holds:4 olariu:1 cormen:1 write:3 how:2 forest:3 adjacent:3 answer:1 symposium:2 ordinary:1 fondamentale:1 express:1 blocks:1 algebra:4 may:10 max:1 after:2 derived:2 applications:1 stars:1 sss:1 coming:1 improving:1 choice:1 meaningful:1 acyclic:2 natural:1 johnson:1 ss:2 bind:1 lines:1 combin:2 element:1 generic:1 complexity:6 pushouts:1 algorithms:7 eg2:2 order:1 operations:1 xj:1 afterwards:1 feedback:1 hierarchy:6 developed:1 pointed:1 move:9 soon:1 course:1 paper:3 london:1 concurrency:1 argued:1 satisfies:2 still:2 its:20 before:1 perfect:2 leiserson:1 22nd:1 thank:2 summands:1 lo:1 fix:1 solving:3 exhibits:1 winning:6 systems:2 omitted:1 main:4 might:6 renaming:2 them:1 dag:1 return:6 descriptive:1 articulation:8 practice:1 hunter:1 fig:1 introduce:1 isomorphic:3 mention:1 they:2 clopen:1 now:4 easily:1 term:1 iff:5 reasonable:1 positions:1 esik:1 universit:1 associative:1 mean:2 subset:5 dragan:1 square:3 doing:1 house:2 eg:7 abuse:1 used:2 search:2 measure:6 our:2 operation:3 out:3 category:1 shown:4 accomplish:1 3rd:1 discrete:1 quantify:1 since:11 vcn:1 looking:1 combinatorial:3 investigation:1 reader:1 suggesting:1 formula:2 induced:9 induction:3 math:2 common:1 theory:6 ecn:1 free:6 standard:2 small:1 reason:1 clique:1 put:2 phd:1 inductive:1 forbids:2 definition:7 fixed:10 transition:2 programming:1 feasible:2 introduction:2 length:6 lµ:5 place:3 consequence:1 onto:1 first:4 key:1 singleton:1 already:4 peculiar:1 xc:1 variables:3 fg:5 number:1 xe:1 restrict:2 infinite:1 construct:1 another:1 degg:6 noticed:1 reichel:1 size:2 given:2 needed:2 ordering:2 bloom:1 caught:6 least:4 their:3 finding:1 too:1 intelligence:1 recent:1 speaking:1 observations:1 collapse:11 relationship:1 seymour:2 tool:2 exactly:2 studies:1 immediate:1 rivest:1 cops:32 short:2 simulate:1 authors:1 x2:2 x0:7 believe:2 appreciated:2 intrinsically:1 distance:3 kind:2 scheme:2 target:1 characterizations:8 sections:1 acknowledgement:1 iteration:2 see:3 matter:5 future:1 wins:1 distinguished:1 deciding:7 motivation:1 comput:3 dihomotopy:1 occupies:2 generalization:2 roughly:2 say:8 need:3 elsevier:1 turn:2 occupied:2 clearly:4 paths:1 subgraph:9 milner:1 efficient:1 studying:1 latter:2 ideas:5 scientists:1 xi:12 so:3 recursively:1 efg:4 calculus:7 formulas:1 play:2 investigations:1 any:2 measures:3 molecule:16 monadic:1 rearrange:1 algebraic:10 satisfying:3 connected:6 pair:3 iterate:2 class:17 achievement:2 26th:1 observation:1 surprising:1 clear:3 later:1 stronger:1 vertices:22 graphs:49 proceedings:2 points:13 leone:1 notion:1 fact:7 precise:1 thomas:3 show:3 xl:1 relation:1 decompositions:1 current:4 x1:2 proposed:1 series:1 true:2 winner:1 state:4 elucidated:1 than:6 lemma:13 only:11 going:1 candidates:1 semantics:1 molecules:7 elucidates:1 interested:1 achieve:1 informatique:1 do:4 his:1 triangle:3 notation:3 means:6 de:2 trees:1 define:4 cannot:2 new:1 exptime:1 holland:1 runs:4 approach:1 arxiv:1 coproduct:1 source:1 contain:3 cycles:3 occupy:2 transforms:1 requirement:1 set:6 decides:1 thesis:1 exists:5 tree:6 observed:2 y1:2 depends:2 computer:9 result:6 progress:1 theoretic:5 techniques:1 y2:2 rwth:1 currently:1 artificial:1 outside:2 difficulties:1 closed:2 between:4 consecutive:1 conditions:2 checks:1 adv:1 notice:2 latin:1 recently:1 uk:1 initially:2 subscripts:1 however:1 science:9 rudiments:1 hypothesis:2 extent:1 distinguish:1 electrical:1 cop:9 many:2 escape:2 equal:1 against:1 homotopy:1 games:10 logic:8 sense:1 argue:6 expression:7 otherwise:9 among:6 relevant:2 co:1 cn:12 characterization:10 reasons:1 subgraphs:5 exploit:1 wider:1 moreover:3 considering:3 ensures:1 commutative:1 capable:1 analogies:1 due:1 been:1 strategy:14 cc:3 ai:7 belongs:8 combined:1 pj:1 pi:3 pn:1 abstract:1 empty:1 choose:2 direction:1 aj:4 hhd:1 both:2 θa:9 hennessy:1 θx:1 lift:1 catch:1 c1:6 θv:2 present:5 case:6 p0:1 look:1 strict:1 arnold:1 will:10 while:3 hdd:1 suppose:2 property:1 jamison:1 loop:1 whenever:1 ve:1 vg:18 vh:3 foreach:3 vk:2 thus:1 ii:4 player:1 greater:4 containing:1 develop:1 perform:1 suggest:2 make:1 same:3 proceeds:1 rules:1 finite:5 φn:1 difficult:3 development:1 literature:1 stacs:3 laboratoire:1 mfcs:1 expressiveness:1 treewidth:1 hand:2 v0:28 v1:11 edges:8 moving:2 purpose:1 entanglement:50 robust:1 cycle:11 relies:1 prescribed:2 center:3 framework:3 settled:1 min:2 well:7 game:13 analysis:1 epn:1 edge:7 greatest:1 components:4 firstly:1 position:8 model:3 arising:2 stating:2 polynomial:4 left:3 safari:1 just:2 less:2 being:4 generally:1 resp:2 obtain:1 underlying:3 atomic:1 aspect:1 glue:21 yet:1 previous:1 letting:1 adding:1 candidate:2 infinitely:3 similarities:1 alternate:1 theoret:1 appeared:1 add:1 setting:3 easy:1 theorem:4 input:2 mod:1 aspects:1 reuse:2 isomorphisms:1 checking:2 replaced:1 showing:4 possible:1 admitting:1 formalize:1 increases:1 background:1 vη:1 press:1 using:2 unique:2 gr:2 occurring:1 intertwined:1 like:2 semi:1 follows:7 mit:2 either:6 arbitrary:1 lapses:1 recalls:1 works:1 robbers:1 terminology:1 mathematical:3 parity:6 right:3 methods:1 deal:1 some:15 back:1 dead:2 cs:9 deduce:4 respect:1 proper:1 recognition:1 lead:2 shall:8 legal:13 does:7 semantically:1 minimal:1 object:1 forces:2 power:1 bc:1 vertex:15 equivalent:2 each:5 br:1 propositional:3 nℓ:17 properties:7 simpler:1 about:1 central:1 carried:1 origins:1 most:25 o:14 union:4 a2:18 ensure:1 modal:3 luigi:7 adel:2 introduced:2 consequently:1 considerations:1 own:1 publishing:1 computes:1 digraph:2 into:3 within:1 bound:2 reducible:1 durand:1 references:1 computational:2 amsterdam:2 nowadays:1 often:4 prepare:1 strictly:3 there:13 question:1 transform:1 long:5 u2:4 width:6 appl:2 handbook:1 way:3 crucially:1 analyze:2 was:2 referees:1 naturally:1 function:1 north:1 form:11 collapsed:1 searching:1 volume:8 neutral:1 robertson:1 elimination:2 line:2 anonymous:2 collapses:7 he:3 directed:12 made:3 compute:1 algorithm:16 whether:8 up:5 us:12 theoretical:2 placed:2 verification:2 iterated:3 problem:12 marseille:1 called:1 strongly:1 ac:11 proved:1 isomorphically:1 defined:7 coincides:1 domino:2 describe:1 condition:8 doesn:1 multimodal:1 engineering:1 referee:1 exist:4 moves:12 check:1 constructed:1 again:5 no:18 when:1 rewriting:1 disjoint:4 other:4 role:2 np:1 mathematics:1 nice:1 explaining:1 star:7 problems:1 visits:1 a1:28 important:1 bounded:1 allowing:1 variable:5 provence:1 structure:1 building:1 independently:2 implies:9 faster:1 calls:1 assume:4 vg2:4 space:1 goubault:1 together:3 vg1:4 equivalently:1 depth:3 observe:5 adam:1 time:17 international:1 requires:1 indirectly:1 |
0705.0420.txt |@word consider:8 remarkable:1 caused:1 magnetic:11 varying:1 results:5 leads:4 ginzburg:1 microwave:1 grateful:1 expressions:7 optical:1 layers:1 replacements:1 terms:1 aug:1 concerned:1 presents:2 charge:19 tm:13 those:5 under:12 breach:2 te:18 applied:1 supported:1 deforming:2 αre:1 orthogonal:1 very:1 frequencies:6 2re:1 rise:2 conditions:2 induce:1 wave:4 electron:14 sons:1 circled:2 affect:1 logarithmically:1 condition:22 energoatomizdat:1 dominate:1 incoherent:1 presented:9 b201:1 eigenmodes:4 large:12 discrete:1 vector:5 science:1 relation:3 noted:1 kz2:3 upper:8 smaller:1 ga:1 disciplines:1 cond:1 sign:2 second:3 enclosed:1 insertion:2 concludes:1 dynamics:1 situated:2 substitute:1 goes:2 residue:2 appear:2 luchini:1 section:4 expressed:1 uniform:1 poles:11 above:6 bm:19 new:8 increasing:1 waveguide:59 consisting:1 filled:7 edited:3 condensed:1 full:2 degree:2 fiz:8 respectively:2 transmitting:1 qλ0:2 here:3 ionization:6 objects:1 dover:1 eikz:2 address:2 path:1 along:22 strong:1 change:1 obtained:8 nth:1 institute:1 involved:1 study:1 studied:1 ku2:1 periodic:1 narrow:5 plotted:7 nmax:11 via:1 spatially:1 projection:3 cylinder:10 gordon:2 decrease:1 summation:3 total:4 shul:1 unit:3 use:3 john:1 takes:1 waveguides:1 intense:1 positive:4 negative:4 next:2 depicted:2 compensate:1 m0:4 m2:5 eϕ:1 panel:13 type:3 theoretical:1 contours:1 separated:2 introducing:1 conductor:1 started:1 becomes:2 encouragement:1 escape:1 particular:8 known:2 cases:5 potential:1 bremsstrahlung:3 account:6 include:1 avoiding:1 equation:2 work:2 oscillator:1 values:21 following:3 making:1 closing:1 spontaneous:1 example:5 stimulating:1 control:1 figure:20 give:1 relativistic:7 sokolov:2 high:8 ter:1 arise:2 absolute:1 possibility:3 discussion:4 hofman:1 instrum:2 influences:2 instead:1 axis:24 parameter:6 sin:6 circular:5 balakin:1 mat:1 singular:2 replacing:2 immersed:5 wiley:3 derived:4 ball:2 applications:5 plane:13 waves:23 cambridge:2 choice:1 fl:3 parallel:2 types:1 curve:4 realized:1 natural:1 third:1 grant:1 correspond:8 sh:4 green:1 cherenkov:10 integrand:1 order:5 typical:1 n0m:5 wavelengths:1 instabilities:1 mgu:1 developed:1 over:11 mainly:1 satisfied:5 meter:1 characteristic:1 produced:1 course:1 experiments:1 through:1 2v:1 lasers:1 mentioned:3 its:5 before:3 perfect:1 derive:1 longitudinal:1 chosen:1 interesting:4 complex:4 coordinates:2 production:1 systems:1 derivative:3 main:8 dxσ:1 image:1 maximal:1 non:1 ya:1 material:2 introduce:1 walls:5 effects:2 they:2 half:6 singularity:2 now:3 yu:1 transparent:2 dielectric:18 february:1 finite:2 2q:5 even:2 university:1 sufficiently:2 filling:5 magnitude:1 eml:3 2m:1 side:1 mean:2 homogeneous:19 ei:1 another:2 independent:1 generation:1 series:1 energy:26 used:4 inhomogeneous:1 literature:1 expect:3 ez:1 wavelength:6 operation:1 extract:1 special:1 out:2 try:1 shown:5 dominates:2 jackson:1 space:2 res:1 interference:1 particles:10 re:6 investigation:3 sources:1 izv:8 mβ:4 formula:23 induced:4 ref:7 fiber:1 theory:1 mev:12 singularities:1 abramowitz:1 mω:1 free:3 standard:2 mϕ:3 hankel:1 base:1 residues:2 estimate:2 generate:2 e3:2 interaction:3 ministry:1 geometry:4 could:2 transition:2 replacement:2 motion:10 length:5 produce:1 place:2 exponentially:2 atp:1 arccos:2 hence:4 quadratically:1 first:7 losses:8 features:8 symmetry:3 dσ:1 number:19 qkz:2 bellucci:1 directly:1 radiate:1 angular:6 illustrate:1 dispersive:1 ωp2:1 given:20 law:1 exists:1 introduction:1 saharian:11 moderately:1 system:1 relations:2 their:1 fml:12 appl:1 zeros:5 too:1 calculations:2 handbook:1 scheme:1 gives:1 ictp:1 ratio:4 moscow:1 akad:8 eliminates:1 transverse:3 forward:2 part:15 authors:1 focusing:1 than:6 coefficients:1 reflection:1 wide:1 kind:1 polarized:4 determines:2 accordance:2 require:1 see:14 tunable:1 limiting:5 matter:2 khachatryan:3 determined:9 intensities:3 were:1 enhancement:1 synchrotron:5 symmetries:1 electrodynamics:3 argument:1 generalization:1 grigoryan:5 epp:1 need:1 seen:8 regards:1 orders:2 critical:1 relatively:1 acceleration:1 angle:3 zero:1 min:1 tends:1 latter:1 mechanism:4 arm:8 polarization:1 instance:3 k0:2 take:2 so:1 coincide:1 zs:1 evaluated:2 absorbtion:1 circles:3 spectral:4 multiple:3 electric:5 though:1 astrophysics:2 rarefied:1 most:1 involving:1 propagate:2 plan:2 condens:1 formulae:36 phase:3 preexponential:2 inserted:1 class:2 stands:1 sums:1 radiating:1 considered:7 neighboring:1 professor:2 kh:1 flow:1 km:22 graphs:1 points:11 electrons:3 exp:2 tsytovich:1 kz:45 left:7 physics:5 sum:6 fact:1 quantity:6 sector:1 akhiezer:1 show:2 rings:1 atom:1 rotating:1 radio:1 solutions:3 find:2 impact:1 symmetric:1 q2:4 based:1 knowledge:1 parameters:11 situations:1 explain:1 specified:1 outside:2 should:3 analytic:4 only:5 black:3 factor:8 employed:1 stegun:1 achieve:1 do:1 dm:14 closed:1 notation:2 distance:1 dependent:1 simplest:1 ssr:8 beam:8 nearly:1 radiations:2 critically:1 dt:1 mikaelian:1 prime:1 processes:7 heaviside:1 indicated:1 fields:18 arxiv:1 method:1 emt:3 investigate:1 paper:7 contrast:1 ωp:4 london:1 fixed:1 4πi:1 view:2 set:1 constructing:1 reference:3 frame:3 j0:6 relative:3 argued:1 intensity:24 radius:10 result:7 enhanced:1 discussions:1 close:2 contour:9 constraints:1 subject:1 inequalities:1 ways:1 circulating:4 propagates:1 boundaries:1 halves:1 written:1 future:1 various:2 radiated:19 between:3 orbiting:1 ωm:25 boundary:1 avoidance:1 perfectly:1 email:1 multiplied:2 recently:1 positron:1 importance:1 interfaces:1 emitted:12 coherent:3 however:2 jm:57 york:5 armenia:2 inp:1 suppressed:3 problem:4 ikm:2 both:2 essentially:2 last:1 σl:1 many:2 taking:7 dkz:2 equal:3 kincaid:1 nikitin:1 mathematical:1 summands:1 pdm:2 cylindrical:6 figures:2 exceeds:3 contribution:3 expression:3 finds:4 comes:1 otherwise:1 cm:6 point:5 simple:1 clarendon:1 corresponds:10 decreases:1 consideration:3 cancel:1 dielectrics:1 j02:2 described:3 tuning:2 geometries:1 addition:1 trajectory:6 radiative:1 due:2 been:5 belongs:1 interest:2 ph:1 empty:7 harmonics:1 direction:14 contribute:2 corresponding:43 hmt:3 quantities:2 0p:5 depend:4 hml:4 ϑc:3 coherently:1 c2:6 c1:2 general:3 ϑm:6 2ic:2 present:5 case:30 novel:1 laser:1 approximated:1 pacs:1 solid:1 straight:2 engineering:1 value:6 air:5 will:4 contemp:5 while:1 harmonic:3 evaluating:1 situation:1 eim:1 region:2 procedure:1 versus:2 planar:1 larger:2 best:1 characteristics:5 refs:7 them:1 surface:1 iv:1 undulators:11 im:15 cone:3 exterior:2 motz:1 vanish:1 wigglers:1 jz:1 different:1 education:1 considerable:1 cjm:2 circularly:3 media:4 recurrent:1 radiation:107 lett:1 same:8 any:1 parts:8 widely:1 several:2 development:1 spiralling:1 investigated:8 infinity:2 peaks:6 singapore:3 i0:2 numerical:3 effect:2 possible:1 moving:21 necessity:1 nm:9 prescribed:1 lower:7 fourier:8 modes:9 acknowledgement:1 lightman:1 no:5 well:2 analysis:1 materials:2 does:7 components:8 dashed:2 coordinate:2 charged:6 spherical:1 distances:2 λu:6 less:2 being:2 storage:1 ultrarelativistic:4 obtain:3 assigned:1 press:1 bandwidth:1 transforms:2 questions:1 world:3 rotates:1 scattering:3 rotation:1 previous:2 note:11 preprint:1 density:1 absorption:1 conclude:1 onuki:1 source:1 valid:3 location:1 theorem:2 republic:1 extensive:1 plasma:2 real:4 around:2 depends:1 replaced:1 decomposed:1 iε:2 term:4 period:5 coaxial:1 vacuum:6 confined:1 using:8 mod:1 loss:1 necessary:2 lost:1 particle:26 karapetyan:1 follows:7 velocities:1 serves:1 ternov:2 communications:1 channel:3 arbitrary:1 bunch:7 works:1 stationary:2 essential:1 permittivity:10 yerevan:1 therein:2 right:9 methods:2 classical:1 some:2 b226:1 ku:13 ng:1 examples:1 choosing:2 respect:2 collector:1 electromagnetic:13 opposite:1 integration:11 per:4 inequality:1 linearly:1 provides:3 assuming:1 propagating:6 bessel:4 demonstrated:1 refer:1 scientific:3 power:3 problems:1 each:3 perpendicular:2 expansion:1 nauk:8 multiplicative:1 step:2 bq:1 found:3 pogosian:1 imaginary:4 francis:1 properties:8 asymptotic:3 conducting:3 carried:1 discussed:4 dependence:3 practical:2 deserves:1 range:4 introduced:1 cutoff:1 own:1 presence:9 unbounded:1 into:13 helical:21 integral:7 references:3 sov:7 amsterdam:1 additional:5 mkrtchyan:1 there:3 question:1 nucl:2 long:1 dispersion:1 describes:1 quanta:17 way:2 resulted:1 cartesian:1 was:7 function:21 medium:29 artru:1 form:14 energies:3 phenomena:1 usp:1 hu:4 taken:3 properly:1 related:4 hm:6 russian:2 line:1 j12:2 proposal:1 longer:1 directed:2 absent:1 stanford:1 jϕ:1 inside:16 maximum:1 devices:2 ckm:2 below:2 frequency:11 limit:14 emissions:1 distribution:2 similar:4 called:3 strongly:1 taylor:1 constant:4 defined:3 coincides:2 abstract:1 describe:3 influence:2 denote:4 ap:1 single:2 arises:1 our:1 moves:1 distributions:1 check:1 physical:1 functions:6 us:2 variety:1 cos:11 whereas:1 when:8 vanishes:4 petrosyan:1 collimation:1 field:21 migdal:1 other:7 role:2 investigations:1 papers:1 tech:1 bmax:2 cerenkov:1 conclusion:1 superposition:2 excitation:1 separate:6 time:1 drift:3 bunched:1 generated:3 important:5 recent:1 velocity:13 variable:3 mω0:13 astronomy:1 semicircle:4 correlated:1 regime:2 faster:1 practically:1 assume:1 diffraction:1 orbit:6 rule:2 undulator:14 mass:1 broad:1 n1:3 once:1 requires:1 having:1 dϑ:4 |
0705.0421.txt |@word limited:4 extrapolated:1 magnetic:104 desirable:1 four:6 francesco:1 torquing:1 forget:1 whose:11 const:1 calculate:3 aut:1 under:4 cm2:3 applied:1 downstream:2 dynamic:1 rise:1 connects:1 summarized:1 affect:1 bringing:1 encounter:1 specify:1 induction:4 solution:9 convenience:1 math:1 guiding:1 enhance:1 ohashi:1 bourke:1 force:10 miller:4 consistent:11 estimates:5 direct:1 goldreich:8 approximation:3 surrounding:2 likely:10 tangential:3 rigorous:1 qualitatively:1 implemented:1 even:12 employ:1 wavenumbers:1 directionality:1 supplied:1 consequent:1 bipolar:1 above:14 supplies:1 net:9 ever:1 coefficient:7 evolving:1 never:2 equals:9 here:2 ionization:13 reported:1 possibility:3 arcetri:1 active:12 mex:2 stresses:3 study:10 changed:1 approaches:1 ignoring:1 circumferential:1 stressed:1 complicated:1 pessah:4 appropriately:1 magnetospheric:1 brought:6 rφ:28 total:11 univ:4 unit:7 narayan:1 derivatives:1 would:30 negative:3 tabulated:4 call:1 therefore:9 reconnection:5 type:3 tell:1 coupled:1 relax:1 brings:1 naive:2 warm:1 hold:5 circumstances:3 md:15 mg:2 join:1 rν:12 torques:2 work:7 centrifugally:1 theories:1 temperatures:1 ms:6 example:5 detach:1 defer:1 indicated:2 give:10 cited:2 stressing:1 generically:1 hexagons:4 involve:3 indicates:1 caution:1 isothermal:1 keep:1 uker:3 end:5 recovery:1 initiate:1 provide:4 verify:1 far:3 hot:2 answer:2 actuality:1 massive:2 description:7 papiit:1 earlier:3 takakuwa:1 diagram:6 barriers:1 wrong:2 outbursts:5 law:28 parallel:1 constants:4 calvet:3 attempt:3 effective:16 bootstrap:1 acknowledged:1 green:3 correlation:3 operate:2 order:21 wind:16 interpretation:3 over:17 vary:1 satisfied:3 satisfies:2 mayor:1 before:3 canto:1 better:5 differently:2 inaf:1 strength:7 shear:5 virtually:1 versus:1 eventually:4 them:6 affected:2 combination:5 prevented:1 l153:1 detachment:1 effects:15 they:17 silver:2 represents:3 toroidal:4 each:4 feeds:2 side:14 mean:54 macrophysics:1 bx:4 series:1 magneto:2 principles:2 osorio:2 depositing:1 substantially:1 conjectures:1 unclosed:1 driving:2 restricted:1 rx:10 mccarthy:1 content:1 re:1 reader:1 newly:1 xu:2 outburst:4 arizona:7 linear:3 given:30 free:1 standard:7 formation:24 corrects:1 lissauer:2 estimate:7 universally:1 created:1 cosmic:3 iso:1 ism:1 corrections:1 onto:5 speeds:4 chopped:1 already:5 reconnected:1 zρ:2 idealizations:1 another:5 hood:3 similarly:1 eqs:1 twisted:1 approximately:2 heights:3 centripetal:1 needed:9 rates:9 observations:5 postulate:1 dissipate:2 collapse:9 took:2 binney:2 doppmann:1 somewhat:2 dissociated:1 begins:2 distance:1 target:3 elegant:1 approximations:1 second:7 preparation:1 matter:16 stacey:3 enhancement:1 fashion:1 gullbring:3 rao:1 torque:7 spectrum:1 manner:2 subordinate:1 seen:1 seem:1 ray:1 forced:1 estimated:1 mestel:2 latter:5 responsible:4 oriented:2 depiction:1 materials:1 absorbed:1 luxury:1 forces:5 blue:1 shall:8 denominator:1 viscosity:22 popham:2 simplify:1 involving:1 torsional:1 exico:1 redistribution:3 calculated:2 flow:14 inferred:6 lpp:14 arenou:1 principle:3 notion:2 incomplete:1 planetary:6 random:4 dependences:1 aiℓ:1 fleming:5 implying:1 radii:12 solutions:5 subtle:1 d2:4 tremaine:4 proposed:2 diffusing:1 explain:2 intrinsically:2 integrate:4 adequate:1 continuity:2 do:16 di:2 unassisted:1 de:1 stop:2 fluid:8 firenze:1 da:3 shutting:1 new:2 dt:2 dr:4 fields:47 greene:1 twice:1 rudiger:1 release:3 pioneering:1 reference:3 phenomenologically:2 emergent:1 roadmap:1 observed:1 depends:4 radius:22 result:13 discussions:1 ballegooijen:2 best:3 subject:3 exponent:3 away:2 tagle:1 artificial:1 µm:1 winglee:2 hopefully:1 drawn:2 encounters:1 preserve:1 accord:1 terms:6 extend:2 nature:2 weak:5 however:9 residual:1 s96:1 meridional:1 reipurth:5 debt:1 received:1 cos:2 kluwer:2 hillenbrand:2 iℓ:27 uncertainty:1 heating:5 against:5 merging:2 layered:4 viscously:1 threads:2 contribution:5 expense:1 disappears:1 presumably:2 character:1 excess:3 height:7 represented:1 loaded:1 speak:1 5m:1 basis:3 radiative:1 three:6 been:12 quickly:2 rawlings:1 much:21 interest:5 basic:1 expected:1 ann:1 location:2 obtained:2 deeper:1 attacked:1 quantities:4 concerning:3 corotates:1 locations:1 pringle:10 pinch:5 distorts:1 originate:2 transformation:2 lesser:1 near:9 kepler:2 suppose:1 applies:4 balance:8 characterizing:1 spawn:1 mexico:1 iv:1 ii:1 conf:1 containing:1 nakagawa:1 perform:2 suggest:3 make:8 fatuzzo:1 angew:1 complex:2 potentially:1 split:1 dimensionless:8 lithium:1 independent:5 a2s:3 i0:1 numerical:19 counterparts:1 hand:15 vishniac:2 kim:1 vainshtein:2 opportunity:1 kept:1 more:40 contact:2 greatest:1 quantitative:1 left:3 just:4 decreasing:1 photo:4 axisymmetric:3 identify:2 facts:1 yes:3 rotates:2 yet:4 previous:1 adding:1 volumetric:1 enters:2 irradiated:1 had:3 goodman:2 weiss:1 passive:2 spread:2 5h:1 easy:1 plasma:3 brandner:1 l81:1 posed:1 possible:8 possibly:1 araa:10 background:1 unique:1 apart:2 semi:4 specific:9 informative:2 disconnects:1 steps:3 arbitrary:1 right:11 sridhar:2 dead:20 born:2 stardust:1 escape:1 shapes:1 dense:1 bottom:6 electromagnetic:3 investigations:2 linearly:1 indication:1 levitation:2 pinched:1 core:2 yorke:1 substitution:2 properties:3 binaries:1 theirs:1 kylafis:1 sinusoidally:1 surround:1 macroscale:1 plus:1 steadily:1 slightly:1 automatically:3 queloz:1 considerations:3 raised:1 presence:4 maxwell:5 obtaining:1 down:2 rendering:1 finely:1 raises:1 balanced:1 support:6 initial:5 catalysts:1 class:1 collimated:1 way:3 astrophysics:2 was:5 launching:1 lowest:1 medium:7 gaseous:2 form:10 latex:1 forming:1 becoming:1 bottlenecks:1 heat:5 illuminating:1 solar:9 true:4 segura:1 builds:2 happen:1 assessment:2 inside:10 attached:1 maximum:4 boss:1 until:3 tucson:5 girart:2 fermi:1 stages:1 b1:1 trio:1 adopt:3 exerting:1 computing:1 implications:1 abstract:2 evidence:1 dξ:1 exist:2 simulations:25 accounting:1 distributions:1 internal:1 physical:13 no:16 whereas:7 generally:2 vanishes:2 ng:2 role:1 papers:2 picture:6 models:17 uniformly:2 transported:2 dissipation:16 transfers:1 gets:2 jones:1 faster:3 dω:10 dφ:2 vigorously:1 pseudo:2 together:1 stripping:1 time:21 serious:1 gammie:9 dϕ:1 parcels:2 slope:1 concept:1 global:9 focus:1 leads:2 grateful:1 3a2:1 row:3 layers:16 certainly:1 inverse:3 depend:1 zone:3 technique:1 contemplating:1 finally:4 text:1 must:11 ucsd:2 brown:3 advantage:1 zhang:1 seemingly:1 choice:2 entries:1 emphasized:2 exact:3 cool:1 level:8 turns:1 section:2 loads:1 accumulation:1 unaware:1 upper:6 slower:2 occurrence:1 findings:1 trend:1 literature:1 sign:9 krasnopolsky:4 alfv:9 chopping:1 soward:1 appear:1 ambipolar:3 evaporative:1 wavelike:1 uniform:2 current:21 axial:1 goes:1 rd:4 boost:1 nakamura:2 satisfy:3 dwarf:2 tabulation:1 french:1 understanding:1 knocked:3 groups:1 address:1 alone:1 along:2 appears:1 change:6 box:4 dusty:1 shift:1 studied:4 marrone:1 hydrostatic:4 udry:1 suggestion:2 usually:1 hospitality:1 dougados:2 myers:4 studies:5 plotted:2 adjustable:1 spatially:6 cabrit:2 extra:1 merely:1 pinches:1 compare:2 modifying:1 plots:1 sympathetic:1 russell:1 protostellar:2 sake:1 positive:3 predictions:2 scenarios:1 live:2 criteria:3 eϕ:2 scope:1 associated:17 theoretical:5 toomre:4 introducing:1 suggestions:1 acceptable:1 apparent:1 validity:1 visual:1 appendix:8 everywhere:1 cases:7 rotational:1 miyama:1 originally:2 cai:1 values:25 believed:2 making:6 detached:3 arrive:2 claim:2 figure:8 anomalous:1 sense:2 sample:1 dropped:2 spanning:1 conversely:1 occur:3 chondrule:1 scalar:1 rays:4 requirements:1 fortunately:1 divided:3 ruden:3 write:1 zn2:1 zn1:1 criterion:9 pure:2 ensure:1 allowable:1 parameter:4 product:1 may:37 applications:1 produce:3 mag:1 date:2 grow:1 lifting:1 stress:10 natural:6 dynamical:2 johnson:2 ss:1 explicit:2 yielding:2 compressing:1 cascade:4 ionized:4 so:15 sl:2 outflowing:1 typical:5 shield:1 indeed:8 primitive:1 osservatorio:1 years:1 experiments:1 motions:3 differs:2 cold:2 still:10 tendency:2 supplemented:1 derive:1 disconnect:4 thank:2 how:6 interesting:5 decreases:1 forms:3 attraction:1 offers:2 dwarfs:1 main:2 correspondence:1 non:8 helical:1 matches:1 processes:7 introduce:1 scaling:1 warranted:1 half:1 now:11 hall:2 halo:1 densities:7 term:11 drop:1 realistic:3 2z0:3 instability:8 en:9 vanishingly:1 ed:4 astrophysical:5 alessio:4 footpoint:1 galactic:2 approximated:1 avoided:1 eq:5 adequately:1 ultimately:1 shadowing:1 factors:3 squared:1 collisions:6 contained:3 nominal:1 formula:4 dominate:2 correct:3 shows:8 after:5 theory:8 carr:1 mechanisms:1 pumping:1 governing:1 california:3 ori:3 onoma:1 derivation:5 language:2 lithwick:2 collapsing:1 transition:6 motion:1 turn:1 πgσ:1 swing:1 think:2 first:14 origin:5 symmetry:1 ignored:3 papaloizou:5 approximate:2 simplified:1 long:7 directly:1 carry:2 impossible:1 ring:1 open:2 angular:38 size:4 squashed:3 interchange:1 little:3 sheet:1 indicate:2 cooling:1 1b:1 types:1 alfred:1 white:2 exerted:1 williams:3 gives:7 attach:2 exploring:1 fraction:8 mostly:2 psaltis:1 ch:1 released:2 jewitt:2 shirley:1 eliminated:1 than:63 coefficients:2 anchored:1 unsch:3 unfortunately:2 accordance:1 require:3 magnetofluid:1 future:3 were:12 outcome:1 johnstone:1 pre:1 resistivity:26 san:1 generality:1 appreciate:1 dynamically:3 argument:1 say:4 allen:6 recover:1 onigl:8 any:15 ideas:2 note:5 ideal:3 potential:5 take:2 observationally:5 interior:3 destroy:2 strengths:1 channel:1 multiple:2 trace:1 opposite:3 keeps:1 clearer:1 beta:2 rationale:1 formulae:2 multiply:2 magnetohydrodynamics:3 slaved:1 ustyugova:1 acknowledges:1 especially:2 dutrey:2 considered:4 average:3 later:5 steady:27 drive:1 mri:38 typically:3 quantity:5 precise:1 show:7 contemporary:1 friction:1 fifty:1 discovered:1 inconsistent:1 fifth:1 slow:2 ratio:22 macros:1 conduction:1 written:1 relaxes:1 analytic:1 only:23 explicitly:4 black:2 ballantyne:1 enthusiasm:1 centrally:1 get:7 freezing:2 truly:1 cannot:9 nearly:3 aν:1 neither:1 closure:1 yield:8 summary:1 threading:5 predicted:2 kernel:1 relaxation:2 physically:1 relative:8 namely:2 actively:1 concern:1 surfaces:2 invoked:1 parent:2 review:3 definite:2 boundaries:1 outside:4 between:26 complications:1 across:6 notice:5 najita:2 vertical:32 inclusions:1 fick:1 jets:1 virial:1 come:1 concentrated:2 σm:7 outflows:1 many:5 region:3 according:4 deduction:2 σs:5 comet:2 expression:4 comes:2 azimuthally:1 period:1 satisfaction:1 jd:5 stretched:1 moreover:4 buoyancy:2 runaway:1 destroyed:1 combines:1 stretch:3 poloidal:7 detected:1 mark:2 combined:3 fig:11 direction:14 photon:1 observers:1 external:4 extant:1 irrelevant:1 former:4 those:5 case:25 hughes:2 intimately:1 refractory:1 fiducial:3 promising:1 situation:6 orientation:4 wouldn:1 budgeting:1 rubbing:1 agnostic:1 dynamos:1 αss:5 romanova:3 bias:2 converts:1 pileup:1 mod:1 worry:1 binary:1 different:4 meteorites:2 develop:1 proto:2 formulations:3 same:18 arguments:2 shakura:4 regime:2 events:1 jorgensen:3 drives:2 companion:1 driven:5 edges:2 changing:1 sunyaev:4 threaded:5 largely:1 apdo:1 roughly:2 severe:1 without:6 solve:2 σu:2 alleviate:1 retrace:1 coordinate:1 model:26 blandford:3 bodies:1 charged:5 among:1 being:13 when:35 rest:2 unclear:1 aspect:8 lowand:1 reality:1 speed:9 heuristic:1 yr:17 seems:3 except:13 treatment:8 wilkin:1 extensive:1 exceeds:1 momentum:36 real:4 aspects:1 around:1 outermost:1 early:2 shallower:1 vacuum:2 confined:2 using:3 postal:1 sheared:1 vertically:4 adams:8 particle:2 epicycles:1 patrick:1 reduces:1 benefit:1 either:5 fully:6 output:1 differentially:2 competition:2 deduce:1 respect:4 matching:1 generates:2 nonzero:7 provided:3 dimensions:1 confirm:1 fluids:2 critical:1 stauber:2 provides:1 particles:9 refer:1 gruzinov:3 reasonable:2 power:19 equivalent:5 ratios:2 tokunaga:1 prepared:1 comparison:7 conducting:5 central:11 ferromagnetic:1 discussed:1 develops:1 practical:1 mutually:1 act:1 cambridge:1 ηb:3 inclusion:1 image:3 numerically:1 ηj:7 conacyt:1 variable:3 accounts:1 accumulated:1 mental:3 log:5 area:6 aren:1 assumed:8 there:11 sides:2 start:1 detectable:1 henning:2 low:36 stars:20 mannings:1 decisive:1 viscous:28 assumes:2 unam:1 complete:1 newtonian:1 enough:5 regard:6 indicators:1 elimination:2 trying:2 happening:1 annihilate:2 embedded:5 jϕ:6 systematics:1 assume:8 ωa:1 monopole:1 age:1 regimes:1 detailed:3 malkov:2 ad:1 ag:1 conundrum:1 describe:2 general:1 ap:3 examine:2 au:40 planets:12 formulation:4 corresponding:8 truncation:1 again:1 extending:1 field:120 valid:1 spatial:4 rx3:1 rx2:1 deviation:2 separate:2 symbol:2 drift:7 includes:4 a1:1 a2:22 included:4 tendencies:2 building:1 hayashi:4 protostar:24 l63:1 curve:5 mass:83 nelson:2 cores:1 accreted:2 resolution:3 original:5 represent:6 externally:2 consider:11 pointing:2 crucial:3 forbidden:1 lack:1 ceased:1 ferreira:3 c2:2 follow:3 expressions:4 disk:196 causes:3 diffusive:9 extraneous:1 spirit:1 bends:1 th:1 sustain:1 traditionally:1 goodson:2 sound:1 belonging:1 returning:1 very:6 ostriker:2 ultraviolet:1 fall:1 difference:2 condition:7 list:1 applicable:1 intricately:1 large:18 adjust:1 small:30 sano:4 largo:1 midplane:9 periodicity:1 harder:1 pasj:1 past:2 go:2 rate:21 doppler:1 pasp:1 perspective:1 further:5 what:12 nonlinear:2 sub:5 brackets:1 mouschovias:2 sun:1 sum:4 drifting:1 thickness:6 fractional:1 method:2 contrast:5 movement:1 quenched:1 outgoing:1 full:3 component:13 tage:7 cylindrical:1 operating:2 andrews:3 berkeley:2 directions:3 iras:1 strong:9 equations:28 bouvier:1 stretching:1 allows:4 experience:2 amount:6 extremes:1 action:1 proportionality:1 wardle:5 via:1 comets:1 requiring:2 establish:1 conventional:8 proceed:3 contains:2 quasi:11 strauss:2 taken:3 twists:1 balbus:10 diamond:9 emission:3 keplerian:32 discrepancy:1 particular:6 known:4 producing:2 kenyon:3 none:2 cluster:1 recall:2 equation:83 centrifugal:2 remain:2 examined:2 hawley:8 ions:3 f2:18 neglected:2 states:15 collision:1 minimum:7 numbers:1 arise:6 phrase:1 species:2 axis:1 terrestrial:1 information:1 needs:2 goal:1 rather:6 breaking:1 situ:1 explains:1 fs:1 ubiquitous:1 fu:29 spitzer:2 derived:3 orbits:1 plane:16 waves:7 horizontal:2 response:1 short:2 keil:2 negligibly:1 twisting:1 departure:7 giampapa:1 negligible:4 specifying:1 fundamental:1 help:4 developed:5 mission:1 top:8 thermal:9 paper:22 through:15 reconnect:5 signs:1 existence:1 kinetic:2 its:15 roots:1 briceno:1 rapidly:2 energies:1 inward:9 l77:1 actually:1 late:1 absence:1 microscopic:9 systems:14 relate:1 might:9 susana:1 good:2 propose:1 accumulate:2 speculate:3 mystery:1 easily:5 bachiller:2 hereafter:1 always:3 presented:1 oppositely:2 2f:5 inequality:1 stopped:1 radial:30 found:5 2n:12 2h:2 characterized:4 transform:1 weight:1 generation:3 energy:20 expect:4 loops:21 operation:2 beyond:2 event:2 really:2 dominates:3 since:9 load:1 research:1 mnras:11 acting:1 equate:1 dominated:2 denoted:2 induced:1 issue:3 occurs:5 basu:4 circumstance:1 confidence:2 guess:1 pub:1 difficulty:2 reason:2 members:1 imagine:2 put:1 matthews:2 generate:2 thrown:1 definition:2 retained:1 thread:1 launch:1 persists:1 iz1:1 iz3:1 universidad:1 assign:1 major:1 fischer:1 simply:2 prevent:1 feel:1 lovelace:3 number:2 dust:3 done:1 fluxes:3 miss:1 differ:6 fuller:2 temperature:2 introduction:1 leading:2 least:5 pinned:1 eddy:2 assumption:8 prescient:1 calculations:3 advection:2 molecular:2 store:1 too:4 imperfect:2 companions:1 relationship:11 trapped:4 lynden:8 part:1 authors:1 focusing:1 brightnesses:1 translation:1 shalybkov:3 king:3 hundred:1 double:1 anticipate:2 annihilation:1 contrary:1 aas:1 macro:1 toward:4 enclosed:14 exert:1 canceling:1 ages:1 substantial:3 headings:1 cumbersome:1 orders:1 lie:2 bz2:11 zero:6 lin:5 flares:1 empirically:2 k0:8 equaled:1 generalized:2 finding:1 2d:3 play:2 added:2 electric:3 lubow:3 reach:2 most:10 significant:3 position:4 alpha:2 extremely:1 removal:1 barret:1 cause:4 kg:2 covey:1 sometimes:1 km:4 electrons:1 velocity:8 justify:1 physics:5 dragged:3 wavenumber:1 science:4 bending:1 hyper:1 particularly:1 phenomenon:3 disturbances:3 scattered:1 evaporation:3 relation:2 font:2 find:1 wilner:1 giant:2 parameters:3 merger:1 distributed:1 assertion:2 subsection:1 factor:14 discuss:2 magnetopause:4 intractable:1 his:1 dominant:2 notation:1 dependent:2 express:4 udiger:4 famous:2 during:5 resolve:2 ohmic:2 remove:1 garcia:1 common:1 inefficient:1 activity:1 set:11 achieved:1 declines:1 cattaneo:2 see:49 individual:1 migration:3 sea:1 close:5 outward:3 nakano:3 visualize:1 diluted:1 lagache:1 smallest:2 various:1 donati:3 orbiting:1 probably:4 conditions:8 pictured:1 available:4 creating:1 missing:4 initially:1 attention:1 york:1 succeed:1 both:12 last:5 desired:1 components:3 sensitive:2 connection:1 context:4 arbitrarily:4 bell:8 simple:2 asymptotically:1 corresponds:4 community:1 coincidence:1 dimensional:3 regulated:1 nacional:1 dissipated:2 belt:2 complication:1 described:6 due:1 faithfully:1 dropping:1 azimuthal:5 combine:1 ph:3 meeting:2 empty:1 σz0:1 alongside:1 maser:2 magnetocentrifugal:2 gas:19 remark:1 understand:1 representative:3 systematic:2 plasmas:3 fuv:1 look:1 grains:2 solid:2 straight:2 empirical:2 bϕ:9 while:6 replaced:1 behavior:1 chondritic:1 loop:17 resolved:1 aa:1 averaging:1 apjs:2 reads:2 itself:4 vortical:1 lada:6 vanish:3 concentration:1 currents:4 kwan:2 italy:1 putative:1 grant:2 highmass:1 emphasize:1 products:1 relatively:3 day:1 higher:6 development:1 used:6 flows:2 levels:3 appreciable:1 aggregate:1 recent:1 lower:8 task:1 analysis:3 solids:3 edge:7 consistency:2 magnetohydrodynamic:2 parametric:1 self:11 distances:5 resistive:18 reviewed:2 shape:1 inactive:3 behind:1 useful:1 alternative:3 superficial:2 loading:1 unspecified:1 conclusions:3 alternate:3 source:2 causing:1 describable:1 relevance:1 input:1 ruled:1 remaining:3 build:1 demands:1 couple:1 advocate:1 matters:2 game:1 quest:1 marcy:2 formal:2 scaled:1 modifications:1 rotate:6 imposed:2 tangentially:1 systematically:5 follows:7 disks:48 ignore:6 flux:50 pagani:1 yields:14 essential:1 mathematical:3 chondrules:2 some:8 back:1 mech:1 hartmann:7 experienced:2 examples:3 b2:3 oscillations:1 infall:10 scale:16 fromang:6 measurements:1 integration:3 per:8 behave:2 eliminate:2 fragments:1 proc:1 inclination:3 object:3 run:1 continuing:1 agreement:1 step:2 departures:2 tidal:1 dictated:1 bz:59 franco:1 anything:1 constraint:3 stationary:2 prove:2 simulation:2 range:5 block:1 computational:1 into:24 within:6 integral:4 nsf:1 appropriate:2 proportional:3 uncertainties:1 criticisms:1 statistics:1 few:4 measured:1 question:2 gases:1 occupy:1 inconsistency:1 forward:1 considerably:2 potassium:1 properly:1 line:10 considerable:1 directed:4 middle:1 gravitating:2 intuitive:2 characteristic:2 up:8 us:11 planet:3 2πr:1 epicyclic:1 diagrams:3 continuously:1 fluctuations:8 similar:6 called:2 constant:13 defined:4 likewise:1 specified:1 chan:3 recycling:1 single:5 curl:2 formalism:2 prevail:1 defines:3 paradox:1 dashed:2 edwards:1 application:1 priori:1 electrical:2 koldoba:1 department:5 alternates:1 dashes:4 draw:1 elements:1 conventionally:1 excitation:1 astrofisico:1 problems:2 occurred:2 generated:6 allowing:2 desert:1 structure:3 ago:1 agm:1 implies:5 practically:1 tubes:1 rescued:1 required:5 speculations:1 orbit:2 implied:4 geophysics:1 agu:1 requires:7 having:1 once:3 magnetically:5 partial:1 results:15 existing:2 steve:1 eds:9 edu:1 winds:9 gm:33 contributions:1 issues:2 magnetospheres:1 matsumura:2 young:9 protostars:18 contours:1 stable:1 include:5 indicating:1 ingredient:1 presently:1 implicitly:2 wave:2 graphic:1 2rx:2 mixing:7 continued:1 entire:8 redistribute:2 steeper:1 youdin:2 positions:1 try:1 integro:1 asp:1 klahr:2 noted:2 configurations:3 smaller:19 iℓ2:7 prandtl:6 imply:2 traveling:1 growing:1 dynamics:11 index:1 giving:1 slight:1 expressed:2 casoli:1 henceforth:1 waiting:1 concisely:1 obvious:1 3a:2 3f:1 advected:1 3d:1 justification:3 nonlinearly:1 lee:4 degree:1 exchange:1 respectively:10 gathered:1 suprathermal:5 following:7 objects:7 sink:1 separation:1 others:1 consideration:3 z0:37 implicit:3 deduced:2 great:1 rdr:2 involved:3 larger:13 leaving:1 suggests:1 resulting:6 principally:1 makes:5 involves:1 frictional:2 examining:1 formulated:1 scales:7 s00:1 extinctions:1 apj:42 decrease:1 apply:5 resolutions:1 morelia:1 cloud:5 use:5 asymptotic:1 remains:3 mid:10 pedagogical:1 next:4 tauri:35 process:20 asteroid:2 reciprocity:1 attribute:1 butler:2 themselves:1 reflects:1 benz:1 formally:1 started:1 becomes:10 inclined:1 stone:13 payne:3 carrying:3 diffuse:2 eccentricity:1 bimodal:1 escaped:1 account:3 extension:1 bally:2 challenge:2 averaged:2 pudritz:5 lorentz:2 crossed:1 thin:21 averages:2 decoupled:1 performed:3 protoplanetary:1 bent:1 calculation:5 thermally:1 flaring:6 hydrodynamic:1 purposes:1 pieces:1 high:27 effectively:2 assumptions:4 bend:4 slip:2 tan:1 reynolds:1 chop:1 buoyant:1 holds:4 steepening:1 glassgold:5 regions:9 nakazawa:1 varies:2 dg:1 galli:5 instead:4 mysteries:1 guilloteau:2 profile:1 tension:6 specifications:1 tied:1 paletou:1 demonstrating:1 efficiently:1 diffusion:26 computations:1 lines:29 correspond:2 allow:8 discussion:13 complementary:1 saturated:3 produces:2 astronomical:7 move:5 produced:2 including:2 mentioned:2 converting:1 envisage:1 outer:13 decay:1 chosen:5 masses:7 laminar:1 circumstellar:3 ogilvie:3 choose:1 gehrels:1 clusters:1 imbalance:1 defining:1 spreading:1 fourth:2 greater:4 surrounds:1 outlined:1 practice:2 astronomically:1 exploration:1 rotation:36 realize:1 university:8 sufficiently:4 magnitude:7 electrically:3 crossing:2 references:2 soc:1 prevailing:1 arxiv:1 levy:3 related:5 frequency:4 measure:1 our:34 shearing:4 out:13 lecavelier:1 integrates:1 rev:4 socalled:1 terquem:6 suffices:1 integrated:3 red:2 inputted:1 interactions:4 frank:1 interplanetary:1 analytical:3 completely:1 supercritical:1 collection:1 conflicts:1 interaction:8 geometry:4 could:13 times:9 length:7 hence:1 retain:1 heuristically:1 evans:5 third:5 possessing:1 powerful:1 reached:2 publication:1 strict:1 unknown:1 system:26 adopted:1 realistically:1 their:32 attack:1 accretion:72 undergoes:1 final:1 prone:2 vigorous:2 explanation:2 exactly:1 debate:1 environmental:1 resistivities:1 microphysics:4 slopes:1 accelerates:1 zones:16 distinguishes:1 submitted:2 rarity:1 succinctly:1 amplitude:1 dynamo:1 providing:1 steep:1 behaviors:1 lightly:1 cohen:4 curves:8 speculative:1 arrow:1 comfortably:1 unlikely:3 need:5 constrained:1 acceleration:2 angle:5 drains:2 able:2 gravity:14 mechanism:8 polarization:1 mix:1 concerns:1 gσ:1 hourglass:1 unless:1 who:2 petrov:1 propagate:1 why:11 astro:4 takes:2 consequences:4 neighboring:1 stronger:3 ampere:2 fact:3 gain:1 parker:8 contaminant:1 supported:1 rotating:9 fickian:1 thicker:1 o:1 based:1 knowledge:2 ngc:1 catalogue:1 should:10 terminal:1 surroundings:1 princeton:1 inherited:1 partially:1 local:16 achieve:2 equilibrium:5 insight:1 familiar:1 simplest:2 ones:1 words:6 penetrate:1 rafikov:2 collisional:12 evolution:5 reconnects:1 shu:37 approach:1 differential:7 lizano:8 gram:1 contain:5 fixed:4 embryonic:1 view:1 requirement:3 computed:5 exists:5 irradiation:2 frame:1 correlations:2 turbulent:33 lett:1 geometrically:1 enhanced:3 closer:4 placed:1 nebula:7 tend:2 favor:1 state:32 difficulties:2 identification:1 closed:3 tens:2 progress:2 boundary:10 comparable:6 ability:1 importance:1 rock:1 efficiency:3 hypothesis:2 configuration:5 problem:18 declining:1 interpretations:1 henriksen:2 equal:10 zeeman:1 etc:1 admit:1 otherwise:1 comment:1 strongly:6 relevant:7 co:2 cm:5 periodic:1 cb:3 ca:2 cf:7 walk:2 modeling:2 table:21 li:11 sari:4 kinematic:4 powered:1 responds:1 magnetized:13 slowly:1 treat:3 igea:2 compensating:2 proposal:2 ignorable:1 define:2 arises:11 neutrals:1 sufficient:3 essentially:1 bulk:3 belvedere:1 c3:2 prescription:1 c1:2 resultant:4 present:15 euv:1 yso:9 unlike:3 contexts:2 appearance:1 value:40 choices:1 will:11 wild:1 va:3 layer:16 almost:4 thus:16 surface:48 vs:1 convection:1 gradients:1 orbital:2 perhaps:5 began:1 radiation:2 cross:1 orionis:26 unity:21 parts:8 φd:2 schematic:2 units:3 finite:5 difficult:5 infinity:3 justice:1 absorb:1 interscience:1 effect:9 ion:1 phy:1 v5:1 infinite:1 frequently:2 magnetosphere:5 off:5 center:1 nevertheless:3 diffusivities:5 modeled:3 well:10 bohm:2 insurmountable:1 sets:1 vorobyov:2 accreting:5 arising:3 drawing:1 usual:4 spherical:1 reside:1 magnetization:6 less:12 transient:1 accurate:1 slippage:1 obtain:4 sources:6 underlying:2 momenta:1 macroscopic:1 rapid:4 preprint:1 density:20 point:13 mathematically:1 add:1 diffusivity:5 adoption:2 attractive:1 identical:1 sonic:2 fluctuating:4 livio:2 fate:1 elapsed:1 increases:2 know:1 press:12 turbulence:14 loss:8 displaced:1 necessary:5 like:7 inviting:1 mhd:14 δu:6 accelerating:1 become:3 works:2 δb:10 page:1 therein:1 exceed:1 because:45 sequence:3 herbig:4 choosing:1 proper:3 kinds:1 transport:17 planetesimal:1 rohm:1 lead:5 merge:1 does:6 assuming:4 haisch:2 demonstrated:2 reaching:1 instabilities:5 pp:1 stellar:23 pressure:16 host:1 imperfectly:1 although:11 accompanied:1 approximating:1 swept:1 stage:4 about:9 actual:2 carried:2 embryos:1 column:2 freedom:3 introduces:1 dependence:4 recognized:1 compatible:5 important:9 insufficient:1 constraints:1 own:3 previously:2 stratification:3 interstellar:16 square:4 van:4 additional:3 transfer:1 spiral:1 noticed:1 quadratic:3 inner:14 biggest:1 daniele:1 function:7 funnel:2 pd:1 shang:5 but:37 volume:3 neutral:2 lowered:1 ho:2 fg02:1 eat:1 auxiliary:1 fragmentation:6 made:6 compute:4 whether:4 wish:4 gravitational:21 smooth:2 record:1 below:9 exerts:1 distribution:6 ysos:2 accretes:1 denote:2 twist:10 counteract:1 retrospect:1 diego:1 functions:2 compared:6 ingredients:1 detail:2 envisaged:1 other:25 details:1 normal:1 doty:1 dishoeck:2 conclusion:1 star:44 radially:3 shown:2 variation:2 earthlike:1 astronomy:2 umebayashi:1 jijina:2 coupling:7 starting:1 columns:3 portion:1 indirectly:1 4a:1 |
0705.0422.txt |@word λp:6 dist:3 villers:1 wµ:1 λk:3 gm:5 avenue:1 wº:1 gi:8 alpes:1 le:2 hℓ:1 technique:1 jan:1 van:1 apport:2 informatique:1 dm:1 g2:8 g1:3 de:14 inria:9 uº:1 du:1 monod:1 louis:1 arxiv:1 qi:6 xℓ:4 øk:1 en:2 vignes:1 national:1 rocquencourt:3 jardin:1 rr:1 3k:2 lorraine:1 3m:1 europe:1 gº:10 rue:2 bp:5 rennes:2 institut:1 recherche:9 tº:2 route:2 o:1 loria:1 université:1 omid:1 com:1 colouring:1 ci:11 ch:22 h2:1 h1:1 zac:1 poly:1 scientifique:1 cs:1 amini:1 orsay:2 ct:1 unité:7 antipolis:4 log:5 m1:1 france:8 lucioles:2 saint:1 m2:1 kº:3 k¹:37 beaulieu:1 parc:1 club:1 cedex:7 hi:6 isrn:1 x2:2 x3:1 c1:1 x1:3 voluceau:2 des:3 frugal:1 ui:3 den:1 vº:2 sophia:4 p¹:1 vi:3 irisa:1 chesnay:2 vm:2 vv1:1 domaine:2 vw:2 campus:2 ôx:1 eng:1 k4:1 universitaire:1 mº:2 fr:1 may:2 max:2 v1:12 v2:6 v3:1 heuvel:1 ki:2 issn:2 automatique:1 graphs:1 nancy:2 jacques:1 χk:13 λlk:3 |
0705.0423.txt |@word code:5 riccardo:1 thouless:1 dynamic:2 results:4 existing:3 hannel:1 entropy:11 consists:2 devoted:1 increase:3 preserves:1 calculate:1 graph:7 deterministic:8 yedidia:3 outlooks:1 those:1 th:4 nodes:26 dramatically:1 sent:2 applied:1 very:1 desirable:1 connects:1 choice:3 updates:1 difference:1 exact:1 condition:1 indicate:2 solver:5 turns:3 applicable:1 large:3 discrete:3 vector:1 small:2 synapses:1 configurations:1 smaller:5 villa:1 consistent:1 approximation:1 rate:14 design:1 chen:1 run:1 estimated:2 substitute:1 linear:21 even:3 nonlinear:1 xor:4 onclusion:1 section:10 near:1 expressed:1 decoding:2 version:1 undecided:1 new:7 method:5 nakamura:1 satisfy:1 zaragoza:1 outgoing:1 processing:1 simultaneously:2 chose:1 degree:3 guido:1 modify:2 jointly:2 reported:1 sing:1 strong:1 equations:2 change:2 sending:1 search:1 incoming:1 sender:1 institute:3 larger:3 allows:2 reason:1 reports:1 preceding:2 survey:6 changes:1 e66:1 named:1 marko:1 marginal:6 explained:2 decrease:2 achievable:3 perceptron:1 plot:1 use:3 codewords:3 probabilities:1 jan:1 uniformly:1 next:2 vol:6 mation:1 fer:9 therefore:1 encode:2 themselves:1 type:1 turin:3 more:2 optimizing:1 sharing:2 becomes:1 line:1 normalized:1 particular:6 known:3 cases:1 cardinality:2 iii:3 loosing:1 valued:1 indicates:1 originally:1 modified:4 crossed:1 pointto:1 concepts:1 strategies:1 trans:6 example:2 control:1 f1:1 f2:1 f3:1 process:2 messages:12 proportions:1 decoders:1 organized:1 high:1 effectively:1 performed:1 typicality:2 allowed:1 occur:2 information:9 goal:2 rather:1 torino:3 regions:1 trieste:1 optimal:2 parameter:1 product:2 mar:1 may:4 after:2 connectivity:13 produce:1 data:1 fm:1 efficiently:1 imply:1 computations:1 sp:5 marton:3 complexity:12 algorithms:6 allow:1 decreasing:1 first:8 bipartite:1 bins:1 typical:1 operations:1 indeed:1 over:3 satisfied:1 symbols:4 paper:8 through:1 looks:1 statistical:2 y1:2 xn:1 satisfies:1 still:2 ieee:6 its:1 symmetry:1 how:2 chosen:2 solving:1 actually:1 better:2 resort:1 fig:18 main:4 overcome:2 freeman:1 non:15 good:2 propose:2 practice:1 introduce:3 framework:1 they:5 symposium:2 yu:3 yt:2 wiley:1 transmitter:4 fully:1 presented:2 realistic:1 theory:9 transmitted:1 truth:1 each:6 constraints:3 subset:1 domain:1 schemes:3 due:1 series:1 hard:1 reduce:1 idea:4 related:1 solution:12 balanced:1 measure:1 loops:1 our:11 shown:3 analytic:1 space:4 since:1 rev:4 denotes:2 looking:1 combinatorial:3 get:1 squares:4 shows:2 provide:1 belief:4 free:2 admits:1 indices:2 completely:1 bwc:10 initialize:1 likelihood:1 generate:1 compression:2 definition:3 r1:3 r2:3 transition:2 iterative:5 feasible:1 turn:1 isi:2 exponentially:2 hence:1 generalizations:1 assign:1 reinforced:5 ntroduction:1 probability:5 encoding:13 variables:5 coding:13 number:12 channels:7 intuitively:1 done:2 least:1 directly:1 reached:1 message:4 size:2 interchange:3 given:4 table:3 similarly:1 dipartimento:1 structured:1 approximately:2 their:6 rates:10 tell:1 1e:2 scheme:9 bits:1 final:1 ictp:1 broadcast:14 part:2 suitability:1 alphabets:1 july:1 than:3 updating:3 mezard:4 kind:1 polarized:1 unfortunately:1 showed:1 structures:1 iteration:7 second:2 murayama:1 were:1 ber:7 toward:2 result:3 argument:1 generalization:1 randomly:3 tables:1 need:2 seen:1 border:2 any:2 sat:1 constructions:1 jour:1 inform:5 efficient:8 indexes:1 note:5 without:1 take:1 finding:2 performance:2 mit:1 channel:21 allerton:1 circles:1 multiple:1 shokrollahi:1 though:1 transmit:1 systems:1 alfredo:1 optimized:2 said:1 codeword:3 pair:7 class:1 performances:1 average:2 cover:3 drive:1 order:2 graphs:3 assignments:1 physics:2 calculates:1 fact:1 kabashima:1 iterations:12 selection:1 show:10 random:13 converge:2 solutions:2 degraded:1 uniform:2 trivial:1 find:4 indicator:1 based:3 implementation:1 distributed:2 should:1 values:5 being:1 only:7 black:2 factor:13 constant:3 local:7 oct:2 achieve:1 do:2 erasure:2 di:4 elettronica:1 joint:1 ones:1 nearly:1 words:1 international:3 combinations:1 closure:1 evolution:1 zecchina:7 outperform:1 checks:1 experiments:3 fixed:2 approaching:1 blackwell:7 bars:1 set:7 computed:1 frame:2 up:1 mentioned:1 namely:1 w2:2 w1:2 fail:1 close:4 techniques:1 closer:2 y2:3 capacity:16 ways:2 review:3 between:1 ations:1 approach:3 email:2 choose:2 comparable:1 recently:2 receivers:3 wt:2 hypothesis:1 here:1 key:2 analyzed:2 erez:1 problem:13 improve:1 suggested:2 both:2 last:1 irregular:1 many:2 region:14 density:4 equal:1 quantization:2 fulfilled:1 propagation:10 context:1 receiver:4 comm:1 passing:1 point:2 simple:1 satisfaction:3 learning:2 path:1 associated:1 aleksic:3 pp:1 viale:1 locally:1 three:3 been:4 strategy:3 int:1 much:1 logarithmic:1 basic:2 marginals:1 inear:1 define:1 graphical:1 montorsi:2 sufficient:1 precision:1 binning:10 ensuring:1 improved:2 denote:3 present:2 case:2 novel:1 oding:1 value:6 rbp:17 will:5 cast:1 while:1 error:7 taking:1 procedure:1 real:1 memoryless:2 vi:1 thus:3 them:1 iv:2 ii:1 conf:1 illustrates:2 sequentially:1 binary:2 different:6 italy:4 alphabet:1 problems:2 same:2 drawback:2 largest:1 modification:1 resulting:2 grows:2 conflict:1 difficult:1 independent:2 used:3 see:3 hand:3 encoders:1 uses:1 lower:3 task:1 center:1 neural:1 no:3 well:4 roughly:1 thought:1 edge:1 components:1 sets:1 severo:1 gates:4 gelfand:1 proposed:3 less:1 transmitting:2 networks:1 rest:4 sources:1 lossy:2 converges:3 adding:1 conclusions:1 wei:3 eferences:1 weiss:1 source:1 lett:2 easy:1 theorem:2 input:6 guarantees:1 generalized:2 bin:5 satisfiability:1 depends:1 rules:2 advances:1 possible:3 possibly:2 increases:2 ldpc:4 press:1 using:10 bit:3 modifications:2 like:5 success:1 follows:4 ignore:1 communications:1 sparse:1 output:2 works:5 parity:6 because:1 often:1 deal:2 sequence:1 sends:1 some:2 stat:1 mech:1 choosing:2 respect:1 ourselves:1 scale:1 broad:1 avoid:1 normal:1 does:6 eliminate:1 provides:2 assuming:1 saad:1 strada:1 esults:1 biased:1 algorithmic:1 scientific:3 power:1 bc:16 selecting:3 equivalent:1 palmer:1 step:1 symp:1 bp:24 although:2 described:1 properties:1 constrains:1 thomas:1 constraint:3 o:1 practical:3 ensure:1 introduced:3 sept:1 fossorier:1 cutoff:1 decimation:11 letters:1 presence:1 communication:1 into:5 bound:1 odes:1 appropriate:3 determine:1 computational:2 france:1 methods:1 classical:1 there:1 depicted:3 anderson:1 low:4 was:3 function:34 considerably:1 form:1 lowdensity:1 but:2 encoder:3 construction:1 politecnico:3 decoder:3 convergence:3 costiera:1 exhaustive:1 info:2 isit:2 compute:2 maximum:2 reinforcement:1 theoretical:1 placed:1 below:2 dirty:1 approaches:2 distribution:3 called:5 mechanics:1 proved:1 defined:2 abstract:1 proven:1 general:6 transm:1 single:3 rule:1 simulations:3 allocating:1 distributions:1 check:5 constructed:2 functions:8 codes:24 us:2 braunstein:4 fixing:1 when:8 application:1 other:4 compares:1 outputs:1 nr:2 confine:1 node:14 briefly:1 elements:1 calculating:1 polito:1 symbol:1 vertex:2 update:1 variation:2 paritycheck:1 urbanke:1 variable:18 needed:4 structure:1 independently:1 suffers:1 factorized:1 algorithm:19 assume:2 normally:1 rs:4 together:1 delta:1 time:7 richardson:1 flexible:1 probl:1 original:1 |
0705.0424.txt |@word gu:3 concepts:1 dist:6 consider:11 springer:2 rx:2 results:4 attractors:3 four:1 proposition:12 2c2:2 edu:1 consists:2 follow:4 denotes:2 compact:32 rd:2 isometric:6 inverse:3 depend:3 centres:3 γs:5 graph:1 concerned:1 editors:1 containing:1 finally:1 restriction:1 preserved:1 weakening:1 under:5 include:1 ingredient:1 case:6 probe:4 straightforward:3 orthogonal:15 very:4 bulletin:1 recursively:1 account:1 induce:1 choice:1 indication:1 corollary:1 borel:2 every:17 affect:1 associated:1 fractal:7 condition:2 dim:6 subsets:10 immediately:2 guk:7 notes:2 disth:2 large:6 vector:1 rj:2 ml:2 small:6 anal:2 shows:11 solutions:1 enjoy:2 upper:9 smaller:2 zi:18 zj:10 concise:1 estimates:1 zero:6 further:3 ρn:11 even:3 index:1 what:2 nonlinear:2 combined:1 invertible:2 fubini:1 3r:1 section:21 shares:1 thickness:13 current:1 version:3 above:3 sup:5 new:5 net:2 consisting:1 satisfy:1 layers:2 notions:2 κj:4 whose:1 maths:1 lipschitz:110 here:18 explore:1 others:1 along:1 strong:1 appears:1 logarithmic:2 box:7 eij:4 institute:1 study:2 vectors:2 allows:2 contradiction:3 jθ:5 suitable:1 makes:1 rdk:1 quotient:1 uniquely:1 lφ:2 via:3 projection:7 classification:1 metrization:1 replace:2 askyl:3 λdj:3 λdk:1 apply:4 pacific:1 univ:1 relating:1 unit:6 artzi:2 use:5 would:4 prove:11 distinct:3 positive:2 contains:8 negative:1 definition:9 properties:8 almost:134 explicitly:2 therefore:10 m2:3 indiana:1 doubling:1 compactly:3 type:1 historically:1 minor:1 more:11 hahn:1 heinonen:3 detail:1 inherited:1 nevada:1 cantelli:1 particular:17 hold:2 must:1 logarithm:2 mg:1 balls:25 ma:3 eden:1 recall:3 ρk:1 mj:15 remain:1 starts:1 following:10 ρx:2 sci:1 example:7 proof:34 define:19 give:7 contradicts:1 identified:1 minimum:4 dropped:1 sense:1 mail:2 counting:7 robinson:15 dk:7 concept:1 rescaling:2 end:1 mutually:1 provide:2 discussion:1 holds:1 bn:7 plaut:2 delay:1 maps:19 mj2:1 answer:1 optimal:1 allowable:1 sin:7 ρ2n:4 map:22 product:2 de:1 uj:1 pdes:1 may:7 max:4 after:2 variant:1 mapping:1 collection:2 φnk:9 corrections:2 plane:1 da:29 fixed:4 warwick:2 constants:6 proceeds:1 short:1 natural:1 outline:2 imply:2 bootstrap:1 explicit:1 redundant:1 element:2 sk:8 rather:3 so:20 s1:8 kaloshin:14 xj:6 s0:4 interpretation:1 fη:18 indeed:3 over:2 interpreted:1 course:2 paper:7 london:1 banach:11 existence:5 still:4 its:5 before:2 effect:1 write:3 thank:1 decay:1 chosen:6 interesting:2 lm:4 exhibits:1 finishes:2 lu:1 choose:6 covered:7 main:8 into:46 lx:5 ly:3 maximal:2 them:1 within:5 greater:1 combination:2 introduce:1 functional:1 significant:1 they:4 identically:1 rotation:1 now:30 discuss:1 nor:1 suppose:13 term:1 φk:29 2r:5 2s:10 james:13 university:5 2x:1 2y:1 orthonormal:5 inequality:3 l2:1 e2j:1 each:7 beneath:1 2j:16 2k:3 homogeneous:103 different:4 en:20 ei:1 ek:4 ej:6 24m:1 series:2 used:4 cψ:2 society:4 ball:11 obtains:1 measurement:1 our:18 approximated:2 shown:3 space:86 spectrum:1 furthermore:4 since:35 induces:1 research:1 increase:1 contained:1 geom:1 ηy:4 lecture:2 rn:30 occurs:1 math:12 rk:18 normed:2 linear:39 written:1 generalises:1 little:1 standard:2 admits:2 york:1 ask:1 8s:1 estimate:6 e1:6 finite:2 card:2 e2:4 definition:2 cζ:5 fixed:1 r2:1 dλn:1 phrases:1 could:2 similarly:2 r8:6 turn:1 american:2 forms:1 hence:4 onto:7 assign:1 first:5 separable:1 concluded:1 xi:32 hausdorff:1 probability:9 number:6 rank:2 nested:5 clear:1 xx:1 least:1 open:2 given:20 their:2 introduction:3 construct:2 yij:5 needed:1 assumption:6 fn:3 statement:2 2aj:1 infimum:6 speaking:1 gives:4 centred:3 relationship:3 reversed:2 exactly:2 definitions:1 x2:32 x0:2 x1:34 than:12 positively:1 distance:2 ben:2 unfortunately:1 showed:3 require:1 simplified:3 dans:1 see:8 historical:1 laakso:2 assouad:16 treated:1 decompose:1 projections:2 outstanding:1 measure:10 argument:12 reno:1 randomly:1 fail:1 say:2 disjoint:4 recover:1 any:39 viewed:1 tρ:1 mappings:4 min:3 lim:8 able:2 aside:1 converges:2 note:24 take:2 analogy:1 2d:1 korean:1 techniques:1 completed:1 play:1 continuous:2 friz:2 finish:1 transactions:1 quote:1 who:2 wells:2 most:5 connected:3 pair:2 sufficient:1 class:3 appear:1 annulus:1 7al:1 treats:1 nonlinearity:2 considered:1 satisfied:1 later:1 cover:11 order:2 points:7 typical:1 satisfies:3 fact:3 quantity:2 2m2:1 significantly:1 show:22 characterisation:1 supported:3 nφ:1 spaces:40 expressed:1 carefully:1 bdj:3 translation:1 sj:3 copy:1 based:1 foias:4 much:1 enough:4 finiteness:1 lemma:41 only:15 slog:64 factor:2 local:4 perturbations:1 continuity:2 do:2 his:1 dj:7 subspaces:8 dh:1 means:1 df:19 differs:1 db:9 generalise:1 aα:3 aγ:2 cannot:5 words:1 report:1 prune:1 closure:1 roles:1 arxiv:1 emj:2 whether:1 investigate:2 common:1 contain:1 qj:12 plongements:1 requirement:1 set:46 exists:28 delicate:1 depends:5 radius:23 result:30 rmj:3 terms:2 subject:1 said:2 exponent:10 ways:1 unr:1 propo:1 convex:1 consequence:3 smallest:2 symmetric:1 state:3 ωj:5 closed:2 between:7 lxi:1 invariant:3 geometric:1 αn:3 knowing:1 nombre:1 infinite:4 embeddings:33 extend:4 importance:1 complement:2 attention:1 weak:2 however:8 preferably:1 hypothesis:2 algebraic:1 key:6 bouligand:5 amer:3 embed:1 received:1 essentially:4 enables:1 improved:1 2n:8 dedicata:1 taking:4 la:1 ln:5 admit:3 embedding:37 otherwise:1 arbitrarily:2 cj:3 necessary:5 cm:2 point:10 simple:8 guaranteed:1 address:2 cf:4 dimensional:14 distinguish:1 simply:3 bγ:5 moreover:7 considering:2 better:2 unusual:1 basis:6 union:1 id:1 locally:10 due:1 been:1 ker:3 rˆole:1 treat:3 1the:1 certain:1 pj:1 pk:46 pn:9 sufficiently:3 define:1 aj:8 families:1 both:3 bmj:1 formed:1 bilipschitz:5 cos:8 gap:1 whitney:1 bull:4 c3:5 c2:12 c1:15 fellow:1 those:4 c4:1 p2:2 p3:4 p1:5 p4:5 coventry:1 ǫn:1 easier:1 will:8 euclidean:8 while:8 replaced:3 compactness:1 property:2 inspired:1 larger:2 prevalence:6 kuratowski:4 metric:44 thus:11 non:1 need:1 regularity:1 itself:3 dual:1 limit:2 attach:1 sauer:4 different:1 preparatory:1 same:7 clearly:5 arguments:1 unfortunate:1 units:1 φj:13 constructed:1 φl:2 φn:3 independent:9 literature:1 functions:4 hand:2 4m:2 colouring:1 infinite:3 lxj:4 identity:4 relies:1 lower:2 older:5 nevertheless:1 changes:1 refined:1 well:2 thought:1 without:1 c5:2 sets:10 position:1 rdj:1 dimension:35 usual:2 spherical:1 mathematica:1 2js:2 obtain:13 rest:1 homogeneity:12 identify:2 integer:5 λj:4 briefly:2 λn:1 previous:1 letting:1 unique:1 royal:1 parametrization:1 improvement:1 ske:3 2df:3 treatment:1 easy:1 theorem:33 apart:2 march:1 dissipative:1 showing:2 decomposed:1 possible:4 spanned:1 corresponds:1 department:2 know:1 using:10 intersection:1 occurring:2 jyv:3 appearing:2 like:1 follows:24 hunt:18 porous:1 δm:4 steps:1 arbitrary:4 mathematical:3 namely:1 sequence:10 successfully:1 some:34 begin:1 deduce:1 examples:1 b2:2 respect:1 images:4 finite:14 provided:2 vol:1 scale:1 dense:1 dimensions:2 lead:1 comments:2 does:4 decomposition:2 linearly:4 provides:3 yields:3 proc:1 minimal:1 measures:2 power:1 bl:4 uniformly:2 equivalent:5 l1:2 uniform:2 bi:90 bj:3 bk:4 how:1 step:1 yorke:3 although:3 approximating:2 bx:43 hilbert:43 injective:7 usa:1 extending:1 theorems:2 discussed:2 o:2 remains:3 ensure:2 hajlasz:2 addendum:1 introduced:1 consequently:1 cv4:1 automatically:1 subset:32 soc:5 ηd:1 differences:4 ηn:2 image:9 2for:1 bound:7 lies:2 weighted:1 references:1 difficult:1 elementary:2 strictly:1 next:1 αnj:2 ηx:5 notion:2 rely:1 statistics:1 log:37 shells:1 support:1 there:45 pages:1 sition:1 noting:2 inner:1 way:8 was:2 gij:6 ensured:1 function:10 olson:22 form:5 proving:1 differences:1 but:11 volume:2 expected:1 construction:4 ho:1 lder:1 convergence:1 line:1 true:2 made:1 applying:4 embedded:12 versions:3 supp:1 wish:1 smooth:1 us:2 until:1 below:2 un:13 ui:7 uk:27 sum:1 highlight:1 problem:1 defining:1 similar:10 agree:1 detailed:1 ac:1 constant:14 choosing:4 ai:9 stronger:3 abstract:3 combining:3 general:6 dξ:1 exist:3 trace:1 inf:2 eric:13 dα:34 again:2 nj:4 nk:5 completeness:1 jcr:2 no:4 determining:1 embeddable:1 when:4 defined:7 nx:13 other:3 2da:1 test:1 mathematics:3 nv:1 conclusion:1 deviation:7 elements:3 denote:10 subspace:4 why:1 setting:1 problems:2 a1:1 meaning:2 a2:1 bounded:3 lang:2 tailored:1 implies:12 longer:1 prevalent:14 assume:3 starting:1 required:2 4r:2 em:2 having:1 4n:3 4rn:1 lying:1 remarked:1 n0:2 appl:2 requires:3 original:1 |
0705.0425.txt |@word ck:24 hyper:1 cj:13 villers:1 avenue:1 λn:27 alpes:1 c0:18 2λn:7 li:3 lp:6 apport:1 informatique:1 xθ2:1 xθ1:7 dk:9 df:1 de:14 inria:9 dx:4 dy:12 du:1 voluceau:2 monod:1 µ2n:31 arxiv:1 µ2j:15 µ2k:1 bpq:3 λnm:2 µ2q:19 rennes:2 heorem:1 en:2 vignes:1 national:1 b22:3 b21:12 rocquencourt:3 b1:1 jardin:1 µx:1 rr:1 µq:25 lorraine:1 µn:8 µi:68 µk:2 µj:2 europe:1 bb:5 bn:6 bi:30 b2q:15 bk:29 b2n:12 le:2 b2k:34 b2j:11 b2i:4 antipolis:4 rue:2 bj:14 recherche:9 βq:7 route:2 domaine:2 april:1 fθi:6 sophia:4 bp:11 βn:12 com:1 processor:1 βj:3 βk:15 xj:2 xk:9 ci:4 xn:1 zac:1 scientifique:1 cs:1 orsay:2 unité:7 pq:3 institut:1 service:1 france:8 lucioles:2 saint:1 pi:34 beaulieu:1 sharing:1 parc:1 club:1 jun:1 cedex:7 isrn:1 x2:1 x1:1 exponential:1 des:3 det:13 batch:1 nº:1 def:1 xdf:1 irisa:1 chesnay:2 campus:2 dα:1 ni:1 eng:1 ny:1 loria:1 universitaire:1 fr:1 time:1 université:1 natalia:1 issn:2 automatique:1 βi:4 nancy:2 lα:10 n1:4 jacques:1 |
0705.0426.txt |@word gt:1 partial:1 gr:1 gp:3 alg:1 results:2 proposition:1 grateful:1 consists:8 gl:1 consider:22 compact:13 paris:1 graph:3 γp:2 acting:1 γi:3 ebres:1 andreev:6 presentation:1 γf:2 p2:38 kπ:1 g1:5 g0:4 geometrical:1 corollary:3 condition:9 subsets:1 immediately:1 notes:1 joined:3 discrete:2 vector:2 anna:1 shows:3 deleting:6 smaller:2 imply:1 further:3 odd:1 theory:1 even:2 index:23 what:3 section:4 sakuma:1 brief:1 cell:5 intersect:7 consisting:3 respectively:4 component:5 here:1 groups:12 others:1 along:3 strong:1 obtained:10 remark:4 algebra:2 study:1 vectors:2 contradiction:4 action:2 hospitality:1 suitable:1 useful:1 classification:1 f1:12 use:3 feb:1 would:1 prove:12 distinct:2 positive:2 contains:22 finally:1 call:1 therefore:10 decomposable:8 more:2 adjacency:1 s3:3 vi1:3 particular:6 cases:2 defines:1 rα:13 rβ:9 recall:1 equation:1 work:1 mk:1 cat:2 assumptions:2 stabilizer:1 following:12 root:1 example:5 proof:22 claim:11 f2:3 give:1 contradicts:6 minimum:1 want:1 sense:1 conversely:1 provide:2 s2:6 s1:10 holds:7 write:2 phd:1 instead:1 dedicata:1 divides:5 polytopes:26 sil:1 description:1 communicating:1 may:10 different:1 collection:8 davis:10 plane:1 deodhar:4 choice:1 types:2 si1:1 gluing:1 element:4 sk:3 sj:5 si:9 so:21 sn:1 fundamental:7 sl:2 representation:3 order:4 acts:2 indeed:4 mainly:1 choose:1 paper:2 thesis:1 left:1 skeleton:1 its:7 group:39 thank:1 chosen:1 fix:1 coxeter:51 writing:1 parts:1 systems:2 covered:1 main:2 fin:1 image:1 maximal:7 non:8 number:7 walls:12 they:1 now:7 s0:11 fi2:1 easily:1 fi1:1 simplices:6 university:5 identified:1 inequality:1 each:6 entirely:1 subset:2 lie:2 domain:3 en:1 cocompact:1 ee:1 obtains:1 funct:1 our:2 special:1 out:1 ru:2 shown:2 space:3 since:29 mason:1 combinatorial:1 contained:8 geom:1 rel:2 induction:7 ri:1 math:3 rk:1 fribourg:3 linear:3 hull:1 polyhedra:1 standard:13 qi:14 completely:1 hand:3 generate:4 definition:1 competes:1 r1:1 r2:1 geometry:2 similarly:1 counterpart:2 length:1 hence:9 βj:4 first:4 reversing:1 geodesic:7 rank:13 done:1 another:1 impossible:7 precisely:1 polygons:1 given:1 minimality:1 hyperbolic:6 introduction:1 system:20 least:9 their:1 assumption:11 too:1 statement:7 pavel:1 moscow:2 exactly:5 reflecting:2 natural:1 copy:4 than:6 finitely:4 require:2 see:9 determined:1 contrary:1 russia:1 decompose:1 ann:1 say:4 conjugate:2 disjoint:1 chapitres:1 intersecting:6 mii:1 s22:2 generalizes:2 mij:2 angle:15 built:1 min:3 latter:2 decomposing:3 ideal:1 edge:1 take:9 interior:2 coincide:1 sure:1 sm:1 any:54 complexes:2 connected:4 pair:1 segment:2 considered:1 clear:2 vertices:5 face:7 points:4 reflections:27 subgroup:34 lying:3 joining:2 show:7 supported:2 solving:1 spaces:2 relation:3 decompositions:1 substituting:2 trivial:2 q0:2 bourbaki:1 criterium:1 dividing:5 state:1 should:5 lemma:23 only:6 generators:5 preliminaries:1 do:1 triangle:5 above:5 de:1 congruent:1 cannot:3 during:1 du:1 arxiv:1 twice:1 investigate:1 common:3 contain:5 switzerland:2 ohio:1 fixed:2 inside:3 view:1 set:22 exists:13 γp1:6 cuts:1 howlett:2 closures:1 relative:1 finiteness:1 result:5 discussions:1 chambers:8 subject:1 satisfying:1 exponent:2 mus:1 intersected:1 symmetric:1 enough:1 chemin:1 closed:1 between:2 αi:11 αj:15 conditions:2 commute:1 notice:6 covolume:1 isom:1 focus:1 however:6 γpi:2 cut:1 comb:1 γpe:2 vinberg:2 suggested:1 both:2 cor:1 polytope:51 cayley:2 many:6 equal:8 facet:38 faces:4 ci:3 ch:1 point:7 wall:28 corresponds:2 grants:2 respect:10 throughout:1 mccme:2 described:1 second:1 piecewise:4 union:3 due:1 pmin:93 int:18 klimenko:1 pj:1 pk:3 pi:13 empty:14 define:7 angled:10 generating:5 describe:1 corresponding:11 easy:2 commutes:3 concerning:1 formed:11 subspace:1 angles:10 former:1 manifolds:1 case:13 p3:2 p0:40 p1:91 discretely:1 will:1 euclidean:8 while:2 suppose:19 intas:2 applies:1 indecomposable:21 properly:2 procedure:1 correspondence:2 orientation:1 vi:6 metric:1 vk:2 thus:5 them:3 iv:1 need:1 ril:3 itself:3 orthogonal:13 rfbr:2 containing:13 belong:4 same:7 clearly:8 complex:17 finite:37 independent:1 trivially:1 ri2:3 ri1:4 v1:2 v2:1 edges:3 infinite:20 totally:3 six:1 subgroups:14 reflection:26 halfspaces:5 s23:1 s21:2 components:6 sets:5 claims:1 usual:1 isometry:1 just:1 less:4 obtain:2 cocompactly:2 integer:2 alternative:1 unique:3 europ:1 generator:2 infinitely:2 supply:1 except:2 belongs:4 contractible:2 theorem:20 remaining:2 real:1 dihedral:22 situation:1 decomposed:6 possible:1 spanned:2 using:1 intersection:9 decomposes:5 acute:13 necessary:2 like:1 follows:5 facets:61 chamber:20 yields:1 either:7 arbitrary:1 nerves:2 permuting:1 exceed:1 namely:2 sequence:1 some:21 mirror:1 proper:2 happens:1 provided:1 exceeding:1 comments:1 defined:1 does:11 connecting:1 three:2 minimal:14 considering:1 aj:5 bj:2 broken:1 simplex:1 tautological:1 properties:1 integers:1 most:2 theorems:2 essential:1 plus:1 introduced:1 nsh:2 nerve:18 statements:1 inclusion:10 h2:1 into:10 boundaries:1 isomorphic:3 copies:6 lies:2 appropriate:1 references:1 aspherical:1 span:1 combinatorics:2 there:20 appl:1 way:4 was:4 naturally:1 complete:2 but:5 construction:6 hn:1 true:2 partially:2 commun:1 evident:2 cells:2 up:1 us:1 ranks:3 planes:1 intersects:4 pm:1 similar:2 called:12 simplicial:1 proved:6 ai:6 abstract:1 convex:21 denote:4 exist:2 commuting:1 constructed:1 again:2 groupes:1 no:11 when:3 other:9 tits:3 department:1 mathematics:2 sufficient:6 elements:8 completes:1 vertex:1 stay:1 generated:16 moreover:1 sides:5 structure:1 implies:12 assume:7 required:1 orbit:1 together:1 dyer:2 n1:1 n2:1 n3:1 having:1 |
0705.0427.txt |@word consider:6 equalities:1 results:4 proposition:22 gn:96 gm:31 1z2:10 ct1:5 preserves:1 z1r:2 contained:1 nonlocal:18 tn:3 quasi:1 tm:8 tj:1 contours:6 elliptic:9 under:3 conjecture:10 2rl:4 g3:6 g2:10 g1:32 g0:18 very:1 rise:1 every:2 additional:1 formula:1 ui:79 difference:2 deformations:3 condition:4 school:1 hamiltonian:2 irreducible:1 notes:1 t2:94 t3:1 t1:155 feigin:6 convenience:3 commute:5 recall:1 small:1 h12:17 enjoy:1 zm:28 zn:102 zi:108 periodicity:3 zk:104 renormalized:4 lecture:1 direct:4 zτ:1 second:7 cft:9 zp:8 zq:8 zr:1 linear:4 residue:9 index:1 what:9 g22:15 stands:3 g21:7 d2:2 section:16 3w:1 sln:1 current:2 version:1 poles:6 above:14 s12:1 method:1 exercise:2 satisfy:1 supporting:2 full:1 thorem:1 here:23 bj:2 groups:2 z4:17 sine:2 cβ:2 z1:644 z2:536 z3:88 obtained:2 eij:3 dwk:8 institute:1 study:15 vectors:1 ourself:1 poisson:4 ak1:2 action:2 fourier:1 define:1 useful:1 divide:1 family:1 2wk:2 dedicated:1 young:1 rτ:5 wk:27 sgn:1 summation:3 glance:1 cα:3 virasoro:38 use:11 asymptotic:1 would:5 cohomological:1 eφ:2 kα:12 definition:4 abroad:1 almost:2 call:8 therefore:11 1z1:10 taken:2 takeo:1 e2:1 type:1 theoretical:2 subsection:2 vl:102 operators:15 om:3 appendix:1 everywhere:1 cases:1 hold:1 iii:1 tokyo:3 deformed:31 science:2 equation:14 work:3 cancellations:1 reproduce:2 fock:2 values:1 following:18 root:1 example:14 proof:24 f0:87 f1:128 compare:2 dzj:13 xz1:6 give:5 calculation:1 allowed:1 point:3 sense:9 2cs:3 2lr:32 thing:1 s3:1 s2:1 acts:1 write:1 maps:1 dwj:7 fix:1 field:5 frenkel:8 map:2 product:2 algebra:39 max:4 oscillators:1 after:3 derived:1 residues:4 diagram:1 hence:18 produce:1 representations:2 summarize:5 law:1 fixed:4 r2r:2 dw2:2 realized:2 induction:6 kulish:1 w2n:2 explicit:4 summing:1 so:1 sn:16 fundamental:1 representation:1 z2m:2 order:6 g11:37 2sl:8 2sm:1 holds:1 deform:1 hierarchy:1 over:3 abstract:1 paper:8 including:1 z1k1:2 mentioned:1 japan:3 its:1 before:3 derive:1 group:1 lc:36 ln:5 lm:4 better:1 systems:1 fij:1 main:3 defining:1 deformation:4 them:3 xa:1 combination:4 masaki:2 introduce:3 landau:1 mention:1 they:13 bazhanov:7 now:2 discuss:2 2t:1 restrict:5 february:1 equality:2 2r:121 2s:131 parameter:11 university:3 into:1 l2:1 mode:1 each:3 2m:22 repeating:1 2i:1 characterized:1 baxter:3 different:2 qz:1 ei:1 another:4 weight:1 ej:15 series:4 related:1 finitely:2 elementary:1 toda:2 extended:1 xs:74 quantum:10 our:9 special:1 out:2 shown:4 jimbo:1 matrix:8 rr:6 space:2 res:5 since:1 research:2 re:92 acting:1 reader:3 rm:15 rn:4 cause:2 math:8 theory:7 written:6 i5:6 free:3 standard:1 completely:1 checked:1 subalgebras:1 e1:44 e0:41 log:1 definition:12 r2:10 kubo:1 followings:2 times:2 motion:52 odesskii:2 birthday:1 gordon:2 enough:6 consequence:7 βm:38 integrand:5 zl:2 already:1 symmetry:3 xm:2 xw2:2 variables:2 dynkin:13 number:2 xz:13 construct:8 directly:2 xr:78 impossible:1 xw1:2 fj:17 πb:2 given:15 1r:1 bracket:1 zj:180 1w:2 introduction:1 fl:2 adjoint:2 1z:5 system:1 relations:14 zσ:13 their:2 borel:2 identity:5 realization:4 ordered:1 gives:2 interests:1 commutativity:1 moscow:1 exactly:2 definitions:1 assumption:1 part:1 j2:4 authors:1 x2:119 x1:6 coefficients:1 showed:4 zero:1 ss:1 classes:2 f12:7 f11:12 russia:1 collecting:1 ansatz:1 ana:1 generality:2 involution:1 affine:4 ichi:1 generalization:9 say:1 manner:10 exchanging:2 recover:1 any:1 complete:2 xrm:3 min:14 partly:3 convenient:3 60th:2 internat:2 degenerates:2 h22:8 note:2 sciences:1 k1:13 without:2 take:11 lhs:33 coincide:2 even:1 sm:4 trace:2 normal:4 rhs:32 screenings:1 regular:1 automorphism:10 formulae:12 sufficient:1 acknowledgements:1 commutation:28 soliton:2 laurent:2 considered:1 professor:9 kn:4 simplifications:2 g12:35 proceedings:1 yang:3 exp:17 3r:2 occasion:2 sum:2 fact:1 laws:3 show:30 supported:3 z12:9 notations:1 relation:42 carefully:1 substituting:2 analogue:1 trivial:1 d1:4 3w1:1 based:1 parameters:5 f22:5 explain:2 outside:15 should:14 analytic:9 only:2 explicitly:5 generators:3 screening:11 12c2:3 chiyoda:1 integrable:1 local:27 boris:1 his:1 notation:3 lukyanov:6 aα:14 cannot:1 dz:41 words:1 invariant:6 dv:26 meguro:1 dt:1 gel:1 arxiv:1 state:1 dw1:2 scientist:1 qk:1 ql:2 set:45 modulo:1 exists:2 sep:1 j1:9 module:1 college:1 w2:25 w1:47 existence:2 discussions:1 contour:13 points:2 tensor:2 review:3 uα:33 uβ:37 symmetric:5 shiraishi:3 f21:5 closed:1 simplest:1 theta:9 enjoys:1 mun:1 meromorphic:1 terms:4 wn:24 wm:18 weak:10 wj:27 wi:26 awata:1 hypothesis:1 wq:9 wp:8 come:1 uσ:18 h11:32 x2m:7 both:7 essentially:2 2n:22 limits:1 many:7 region:3 equal:1 quantization:1 x2u:3 candidates:3 safely:1 x2s:64 x2r:107 ci:6 ch:6 cn:1 cm:1 cl:5 simple:5 continuation:10 pole:5 bβ:8 bγ:1 cs:12 associated:3 throughout:1 considering:1 xz2:7 commutative:4 equations:1 arbitrary:1 three:2 sl2:3 rr1:1 interest:3 basic:1 ph:1 algebras:4 komaba:1 define:6 zamolodchikov:6 general:10 am:18 zl2:1 argument:2 jacobi:1 understand:1 func:1 c2:16 c1:16 θq:1 those:5 case:32 encircles:7 bπ:2 f2:9 first:15 will:2 while:5 monodromy:3 aid:2 property:1 conformal:2 taking:2 procedure:1 cylinder:1 iq:4 vi:28 vj:135 vk:37 tions:1 vm:3 vn:5 dedicate:1 im:38 loosing:2 technology:1 id:2 currents:13 rfbr:2 thermodynamic:1 specialization:6 grant:4 generic:18 same:18 check:6 arguments:3 proved:2 regime:12 subalgebra:2 used:11 i1:16 i0:18 i3:13 i2:18 upon:7 i4:10 i6:6 v1:47 v2:25 moving:1 purpose:2 changing:4 invariance:11 warming:2 task:2 center:1 com:2 kashiwara:2 vβ:6 s22:1 s21:1 belavin:1 comes:2 organization:1 ccf:4 usual:1 fand:1 h21:2 resp:5 resv:1 actions:2 resu:4 abbreviation:1 dz2:3 facts:1 λj:4 λi:2 previous:1 vρ:16 k2:10 regarded:3 conclude:2 parametrization:1 macdonald:1 zl1:1 lett:1 theorem:15 remaining:2 gave:1 real:1 2δn:1 2u:3 showing:3 term:6 vα:4 fusion:4 chernogolovka:1 vδ:5 vacuum:1 using:10 moreover:1 formal:1 reshetikhin:2 x4:2 like:5 follows:11 bn1:3 zln:1 δn:5 degenerating:1 δm:6 yields:1 integrals:49 bn2:2 ie:4 xsn:2 reduced:3 xsm:4 mathematical:1 βni:4 because:4 parametrizations:1 classical:6 fake:1 some:11 understood:12 examples:2 b2:7 respect:4 proper:1 kdv:6 orderings:1 thank:2 ak:5 nihon:2 dz1:3 vγ:1 does:1 decomposition:1 mutation:1 o4:1 o3:3 o2:4 o1:1 power:2 gkdv:1 bm:30 s11:6 l1:2 bi:8 expansion:4 bk:3 βn2:3 βn1:3 properties:1 cδ:2 about:4 extension:1 dzk:15 prove:1 wadati:1 o:3 dzn:1 a2:5 introduced:2 differences:1 lytic:1 h2:1 image:1 h1:1 integral:13 h4:1 included:1 coefficients:4 right:2 references:1 operator:10 bosonic:1 eh:2 deal:1 prepare:3 transfer:5 u1:109 u2:80 start:3 jsps:3 conservation:4 bosons:2 way:8 notices:2 function:15 kojima:2 annulus:2 regard:1 jun:1 change:4 construction:3 delta:4 highest:1 commun:3 wρ:3 whether:4 cij:3 inside:15 uq:3 up:3 us:48 bethe:1 um:3 ul:38 liouville:2 un:7 limit:21 uk:145 uj:135 defining:8 similar:5 called:1 b1:16 instead:1 taylor:1 constant:1 defined:3 4r:2 universal:1 aj:19 moved:1 ordering:6 ϑr:1 exist:1 dw:20 dζ:2 ax:9 commuting:2 finite:1 constructed:5 functions:9 no:2 when:10 defined:1 graduate:1 field:3 definitions:2 other:7 department:1 mathematics:1 ku:2 symbol:5 vertex:1 odake:1 a1:15 a0:1 generated:1 important:1 variable:4 structure:5 watanabe:2 implies:1 auxiliary:7 assume:5 factors:2 curve:1 satisfies:2 scientific:1 restricted:1 n2:1 starting:4 |
0705.0428.txt |@word limited:5 gu:1 code:11 consider:1 chain:4 pilots:2 caused:1 dynamic:1 focus:2 existing:1 illustrated:2 globecom:2 quadrature:1 overlap:1 consists:3 particularly:3 compares:1 gi:1 inverse:2 depend:1 technique:1 presents:2 finally:1 does:2 subband:1 γn:2 cm4:3 cm3:1 cm2:1 cm1:6 division:7 belonging:2 indoor:3 already:2 advantage:1 orthogonal:4 interleaver:2 subcarriers:16 results:9 novel:1 cellular:1 advised:1 uwb:22 difference:1 exact:1 adaptive:1 leads:3 disturb:1 cmi:3 presented:3 transmission:11 turns:1 solution:23 fewer:1 minimization:1 fht:2 lines:3 configurations:1 smaller:1 compensated:1 consistent:1 direct:2 pulse:1 rate:16 cost:2 insertion:1 concludes:1 estimated:1 zp:3 spectral:4 index:1 phaseshift:1 onclusion:1 section:6 favour:1 distorted:1 access:11 gn:1 issues:1 above:1 judicious:2 new:10 3a:3 increasing:1 public:1 coefficient:1 full:1 simultaneously:1 degree:3 ranged:1 respectively:4 error:1 component:9 jointly:2 selective:1 ates:1 ratio:2 along:2 table:8 appears:2 obtained:9 great:1 dec:2 forum:1 institute:2 study:2 losses:1 allows:8 completely:1 exploitation:1 simultaneous:1 fourier:1 studies:3 plotted:1 via:1 useful:3 divide:1 manage:1 highly:1 brought:6 flexibility:3 decrease:1 marker:1 total:3 select:3 environment:2 use:5 expresses:1 takes:1 consumption:1 commun:2 remains:1 give:2 quasi:1 france:2 scenarios:1 classically:1 depicted:1 maret:1 vi:2 type:1 today:1 more:6 convolutional:1 sharing:4 initiated:1 ecom:1 becomes:1 hereby:1 pairs:2 visibility:1 normalized:1 impulse:1 varying:1 antennas:1 iii:6 must:2 couples:1 account:3 ma:36 mc:49 mb:2 midwest:1 des:1 mk:1 ere:1 following:2 ness:1 trans:2 root:1 example:1 corrupted:1 chosen:2 process:1 share:1 near:1 high:9 2nd:1 minimum:2 walsh:1 performed:1 axis:1 information:2 carriers:2 provide:2 comparing:1 divided:1 orthogonality:1 delay:7 necessary:1 fourth:1 instead:3 insa:2 fr:1 express:1 blocks:1 modulation:6 after:1 mapping:1 applications:4 snr:1 mai:2 summarize:1 choice:2 data:27 response:3 pc:3 realized:1 undergo:1 third:1 ss:36 sept:2 issn:1 acknowledged:1 correspond:1 ghz:4 complexity:3 fundamental:1 order:4 ith:1 feb:2 indeed:1 over:2 fft:1 mainly:1 matthieu:2 years:1 symbols:8 report:1 paper:6 through:1 committee:1 mentioned:1 wlan:1 multipath:3 ieee:9 its:2 industries:1 τm:2 group:2 lc:13 personal:1 presence:1 exhibits:3 actually:1 better:5 window:1 offers:4 systems:16 clusters:2 main:5 spreading:26 texas:1 non:2 good:1 greater:1 combination:2 propose:1 rake:1 fig:14 band:27 half:1 bar:1 nov:2 uncontrolled:1 nor:1 easily:2 transmitter:2 document:1 fdma:1 transmitted:10 mode:10 each:18 rennes:3 referred:1 subset:1 el:1 domain:2 square:2 simplicity:1 energy:3 valenzuela:2 reduce:1 related:1 eb:5 frequency:19 interferers:3 operation:1 beyond:1 special:1 out:1 magnet:1 shown:4 network:1 since:2 interference:2 increase:3 may:1 spacing:2 performs:1 electronics:2 cause:1 shows:1 franc:1 telecommunication:1 possibility:2 standard:2 bwa:1 approaches:1 advantages:3 term:2 conflicts:2 estimate:1 hand:1 mimo:1 additional:1 mbit:28 benefits:1 ata:1 could:4 moment:1 ist:1 length:3 choices:1 circuit:1 hence:1 cdma:24 first:5 xk:2 organize:1 ntroduction:1 simply:2 xm:2 coding:12 number:15 channels:5 multiplication:1 improvements:1 adopted:1 another:1 batra:1 given:9 management:2 reference:2 leading:5 system:28 ripples:1 parallel:1 acknowledgment:1 regulation:1 rates:26 listed:1 realization:4 zeros:1 scheme:2 bits:1 teb:1 gives:2 continuous:1 park:1 tfc:3 padding:3 task:2 authors:2 explained:1 july:1 than:6 coefficients:1 wide:1 target:1 cyclic:2 zero:3 modelled:1 project:1 future:2 contrary:3 ber:5 providing:1 respecting:1 viterbi:1 topics:1 occupies:2 spectrum:5 curves:1 phy:1 outperforms:3 substantial:1 conjugate:5 seen:1 clearly:1 viewed:1 relatively:1 conversion:2 issue:1 efficient:3 latter:2 able:2 consortium:2 ideal:1 potential:1 take:3 online:1 ecps:1 performance:17 uplink:2 channel:27 even:3 added:3 multiple:7 combat:1 normal:1 reach:1 most:1 optimized:1 fcc:4 plan:1 xn:2 coded:4 model:6 sub:15 scrambler:2 considered:7 performances:2 clear:1 traditional:3 part:1 principle:2 physics:1 fact:1 selection:1 dbm:1 show:1 supported:1 downlink:1 fingers:1 radio:3 solutions:2 schmidt:1 reception:2 networks:2 henceforth:1 slow:1 based:8 quoted:1 parameters:2 should:2 only:5 going:1 factor:2 local:1 oct:1 dl:3 means:1 de:4 db:3 degradation:2 joint:2 ones:1 tcp:2 consecutive:2 combinations:1 during:5 ds:3 areas:1 regarding:1 resource:10 introduced:1 outperform:1 arxiv:1 shape:1 remove:1 method:1 investigate:1 common:1 τk:2 eferences:1 characteristics:1 rms:1 set:1 modulo:1 statistical:1 ofdm:29 imposing:1 variations:1 frame:2 detection:5 namely:1 enhanced:1 wideband:4 close:2 constellation:2 analog:2 appear:3 exploited:4 federal:1 currently:1 equal:5 ystems:1 symmetric:5 case:14 closed:1 between:5 si:7 invariant:1 αk:2 approach:1 available:2 perfect:1 realizations:1 terms:1 ability:1 sampled:1 targeted:1 comp:1 however:4 supports:1 modeling:1 electrical:1 improve:2 received:2 essentially:3 last:2 mono:2 taking:1 conclusions:3 according:2 against:5 tsf:2 improves:2 context:2 receiver:2 estimation:3 expression:1 load:5 among:1 co:1 very:2 point:2 reasons:1 excess:2 coexistence:1 sampling:1 regulated:2 path:1 wider:3 moreover:1 cp:3 telecommunications:2 considering:1 qpsk:19 configuration:2 described:1 keying:1 addition:6 three:7 been:4 commission:2 reduction:1 47th:1 interest:3 expected:2 flexible:2 ph:1 hardly:1 define:1 demodulation:1 diversity:6 lth:1 ray:1 modelling:1 argument:1 assigning:1 those:1 pilot:2 applied:5 multi:19 replaces:1 rectangular:1 will:1 while:2 optimization:1 replaced:1 behavior:1 many:2 promoted:1 ultra:4 engineers:1 layer:4 studied:1 almost:2 subcarrier:11 av:1 thus:2 herein:1 iv:2 ii:4 cluster:2 contract:1 comparative:1 pk:1 different:7 propagation:2 perform:1 suggest:1 make:2 same:12 fading:1 highlighted:1 complex:8 emphasize:1 evaluate:1 several:4 european:2 used:9 mmse:2 assignment:4 effect:1 noticing:1 allocation:3 running:1 compared:3 user:21 robust:1 ois:1 recent:1 nlos:5 lower:3 ifft:3 modes:2 hopping:2 minimize:1 whole:1 floor:1 well:3 analysis:2 without:2 components:1 firstly:2 jean:2 dimension:2 subgroup:1 proposed:9 less:1 being:3 generally:2 hybrid:1 obtain:5 competitive:1 assigned:1 proposes:1 bandwidth:6 multiplex:4 immediately:1 yes:2 resa:1 bit:3 previous:1 adding:1 prefix:3 now:1 density:1 cl:5 except:1 mathematically:1 signals:3 add:4 spread:6 input:2 vii:2 march:1 represents:3 rules:1 bands:7 possible:3 psd:3 corresponds:1 increases:1 using:2 emergence:1 modifying:1 imposed:1 like:1 standardization:1 signal:15 translates:1 specific:2 communications:1 mhz:9 output:3 reduced:2 exceed:1 often:1 classical:3 sequence:1 sequences:3 some:2 self:1 selectivity:5 understood:1 sight:2 mirror:1 duration:2 vol:7 tgi:1 represent:2 lead:1 measurements:1 novelty:1 thank:1 per:5 waveform:9 critical:1 tends:1 francois:1 proc:4 tk:2 demonstrated:1 conference:3 noise:1 11a:1 power:5 equivalent:1 broken:2 bw:1 confrontation:1 kth:1 hadamard:4 drawn:1 optimize:3 comparison:2 central:1 would:1 freedom:3 introduces:2 simulation:1 range:3 carrier:5 mean:5 consequently:1 block:5 alliance:2 facility:1 previously:1 instruments:1 into:9 within:5 bound:1 due:2 lies:1 guard:5 frames:1 lastly:1 nst:4 methods:1 log:1 area:2 transform:5 fast:2 pages:7 los:3 low:5 way:1 papr:1 function:3 considerably:1 offer:1 phenomena:1 distortions:1 but:2 encoder:1 wireless:4 hk:1 cedex:1 hn:2 gain:4 decoder:1 line:2 multiuser:1 proposal:1 he:3 applying:2 best:2 robustness:6 up:1 us:2 mth:1 converted:1 limit:1 highlight:1 distribution:2 similar:3 called:3 distance:1 detailed:2 required:2 associated:1 defined:1 certain:1 abstract:1 general:2 single:1 saleh:2 simulations:2 journal:1 corresponding:1 trailing:1 interferences:1 physical:3 functions:2 codes:14 no:8 dashed:1 whereas:2 when:2 application:2 narrowband:5 other:3 actors:1 details:1 digital:2 np:3 ns:1 nu:3 revision:1 symposium:1 users:13 models:1 symbol:12 multicarrier:1 generated:2 important:1 shadowing:1 tdma:1 interval:1 mask:3 ternary:1 time:9 n0:5 international:1 requires:1 |
0705.0429.txt |@word limited:5 lagrangian:2 hats:3 saves:1 desirable:1 monte:6 yellow:10 nato:1 four:2 facilities:1 entropy:31 mirage:1 consists:5 nwn:8 saved:1 factorizing:1 regularize:4 flannery:1 const:4 calculate:14 collisions:1 aul:1 presents:2 under:27 sped:1 worth:4 conjecture:1 reconstructions:33 updates:1 summarized:4 affect:1 monkeys:1 vetterling:1 school:1 wandelt:22 dawid:1 cmb:20 δρi:3 vector:27 math:2 relics:1 amplifications:1 regularizations:1 enhance:2 markov:7 expanded:1 consistent:4 estimates:1 direct:6 approximation:3 second:10 variates:1 qualitatively:1 implemented:10 even:10 errors:3 dept:1 selected:2 asic:1 astrophysik:1 ˆb:1 reconstruction:113 roundoff:2 new:15 increasing:8 ˆn:1 pioneering:4 med:1 agreement:2 simultaneously:5 mem:12 residual:9 here:62 represented:11 interpret:1 obtained:11 study:10 enßlin:21 approaches:5 orthogonalization:3 ignoring:3 tolerance:1 fourier:13 changes:2 york:5 appropriately:1 prints:1 projection:1 classification:3 explained:1 raphson:5 highly:5 brought:1 modulated:1 org:1 eastwood:2 counts:7 total:3 linearly:2 narayan:2 dnd:49 would:17 e1:2 chooses:1 substitutions:3 distributing:1 m4:1 m7:1 program:1 call:3 therefore:7 m3:1 distortions:20 type:3 until:6 separated:1 preconditioned:4 diagonally:1 curvature:4 zaroubi:23 conditioned:1 must:9 springer:2 mf:5 ma:7 permits:9 ml:11 work:16 mi:8 ril:2 mj:1 ere:7 rim:2 factorials:1 hansen:1 root:5 example:13 impose:1 conf:3 give:13 bennett:1 updated:1 implementations:2 indicates:1 degenerate:2 branchini:1 worse:3 provide:1 bunn:4 mµ:7 how:18 methodology:3 gasperis:1 description:1 replacing:2 after:14 minimized:2 demanding:1 davis:3 wrong:1 curiosity:1 minimizes:1 effective:4 summing:2 complexity:2 algorithms:38 correlation:37 every:3 tessellations:1 order:16 figs:1 operations:7 interpretation:2 feedback:2 over:16 govern:1 satisfied:1 zel:2 simplifies:1 london:1 fidelity:3 before:3 ima:1 fit:1 expectations:1 better:19 drawback:1 fig:27 hidden:3 schmidt:5 easier:1 inventory:1 eventually:1 them:5 combination:5 bang:1 effects:39 they:11 multidimensional:2 represents:11 mcmc:12 classified:4 lucy:9 reasonable:2 each:21 acoustic:1 higher:6 side:7 cl2:1 mean:20 inserts:1 schemes:33 successively:2 telescope:3 series:4 solution:40 literature:3 combining:4 thermo:1 extract:1 dodds:3 cosmologically:1 rp:3 network:1 rr:4 rs:44 gradient:10 god:2 crucial:1 ry:2 rz:2 content:1 re:1 daniel:1 adapt:1 reader:1 mξ:32 levenberg:2 foundation:1 i2:3 log2:5 linear:89 given:85 free:4 indices:1 formation:13 corrects:2 estimate:4 xg2:2 telescopes:1 xg1:2 degeneracies:3 competes:1 saha:2 recovering:1 starts:1 cosmic:16 filter:68 hopeless:1 δij:1 corrections:3 rybicki:4 user:1 already:6 vittorio:1 conjugacy:1 coding:1 encouraging:1 rank:1 another:6 sutherland:1 hood:1 toy:1 rewritten:3 similarly:1 eqs:7 approximately:3 needed:1 perturbations:1 zeros:1 observations:8 linearities:1 tom:1 dθi:1 inconvenient:1 collapse:1 convention:1 took:1 sian:1 kept:2 peculiar:20 toronto:1 distance:24 target:1 showed:2 iteration:14 zero:20 reconstructing:3 matter:29 classes:4 tackled:3 solely:2 minus:2 extracting:1 fashion:7 rewrite:3 rao:1 spectrum:48 seed:6 ras:40 seen:14 seek:1 tells:1 traditionally:2 latter:5 responsible:2 revue:1 absorbed:3 forces:1 nunez:1 circles:2 blue:9 acquire:1 shall:1 object:3 wells:1 overdensities:2 extending:1 optimized:2 germany:1 bsi:2 steinhardt:4 quantitative:3 phase:2 iterate:1 acknowledgements:1 teller:2 tikhonov:13 observation:5 mµi:18 calculated:11 flow:1 inferred:1 bracket:1 principle:4 dor:3 detriment:1 left:13 notion:2 incorporate:1 bsm:2 random:17 dependences:1 infrared:1 implying:2 attempts:4 radio:2 solutions:12 substituting:4 d4:2 d5:3 d2:7 d3:4 d1:5 larson:6 resemblance:1 just:10 implementation:4 situations:2 topological:1 sˆ:11 summarizing:1 adequate:1 continuity:1 do:18 shepp:3 above:9 di:2 dd:5 de:3 dc:1 degradation:1 reversal:1 report:1 reconstruct:5 ds:4 dp:2 hall:1 fields:5 gaus:1 thanks:1 coefficient:11 mandatory:1 fair:2 sensitivity:1 σv2:1 evolving:1 detection:4 depends:6 result:13 mateos:1 discussions:1 schick:1 incorporating:1 techniques:12 supθ:2 eres:2 curvatures:1 said:2 exponent:1 symmetric:1 kennard:2 µn:1 µi:6 finger:2 µk:1 µj:13 seljak:3 drawn:2 approach:25 wf:21 terms:14 extend:3 nature:11 modify:1 weak:1 however:53 wi:7 benchmarked:1 wu:1 modeling:4 improve:1 suggested:1 received:1 essentially:2 ill:3 uncertainty:4 against:3 disastrous:1 hinshaw:1 variance:12 argue:2 disappears:1 h12:1 blaizot:1 sullivan:2 reconstructs:1 nˆ:1 2nd:1 factorize:1 basis:4 simplification:1 three:13 stebbins:2 quickly:2 confident:1 marquardt:2 much:14 interest:1 basic:1 expected:3 huchra:2 θj:1 θk:3 ergodic:1 θi:11 θn:5 deeper:1 quantities:4 φp2:1 worked:2 xxh:2 applied:14 jewell:5 originate:1 neal:3 remaining:1 aim:7 euclidean:18 suppose:3 applies:1 stopping:2 property:3 procedure:3 iv:1 ii:1 ik:2 ij:6 reports:1 hanke:5 turner:1 numerische:1 containing:1 recover:1 descent:9 sjk:1 perform:6 suggest:2 make:3 recurrent:2 complex:13 split:2 filtered:4 several:8 independent:4 peaks:1 i1:1 squashing:1 i3:1 numerical:35 i5:1 i4:1 hand:7 potentials:1 propagated:1 normalization:1 mentioning:4 shortly:1 maximizing:3 academic:2 roma:1 claims:1 maxima:1 unified:3 proposed:2 decreasing:2 newton:8 homogeneity:4 proposes:1 identify:2 transforms:5 previous:15 rng:1 adding:4 poses:2 regarded:4 hasting:1 character:7 wright:1 spread:3 easy:1 timestep:3 save:1 bng:6 l87:1 βpr:5 appreciated:1 advances:1 posed:2 possible:16 spanned:1 background:4 unique:5 pixelization:1 disadvantage:1 performing:7 manual:1 switching:1 specific:2 informative:15 steps:7 arbitrary:6 invaluable:1 fridman:4 www:1 right:10 deal:2 stiefel:4 stern:1 classically:1 oh:1 consultants:1 pdfs:9 pain:1 extended:5 glance:2 pixel:7 entropic:8 bottom:1 unavoidable:1 microwave:2 lg:2 unstable:1 algorithmic:5 minimization:3 posi:1 substitution:5 filaments:1 super:1 properties:2 meyer:1 banday:2 o:31 distinct:1 magazine:1 plus:2 landweber:3 efforts:3 slightly:6 soc:1 presence:2 jens:1 formulae:4 obtaining:2 negative:9 hermitian:2 ppp:1 reducing:1 often:2 k13:1 k12:1 rely:2 k10:1 k17:1 k16:1 k15:1 k14:1 k19:1 initial:10 approximate:2 why:2 accordingly:3 rkl:1 way:34 astrophysics:3 m1:1 was:19 martel:3 underestimated:1 form:22 hestenes:6 forming:1 differences:2 ford:1 taken:11 verde:1 incorporation:2 encoded:3 true:15 j10:1 j11:1 streaming:1 arrays:2 m9:1 inside:1 anen:3 maximum:33 m8:1 discretized:2 erdo:6 complications:2 scalar:1 panels:17 b1:2 fulfills:1 proved:1 b2:2 computing:2 abstract:1 covers:1 evidence:2 guessed:2 exist:2 dθ:2 floating:2 distributions:13 physical:12 ni:6 discriminate:2 nn:3 no:17 nb:3 when:17 ng:7 nx:8 ny:9 nz:10 interested:9 dekel:3 test:7 nq:5 nr:1 ns:1 hoffman:17 picture:7 superposition:1 models:6 update:1 ξj:14 jones:1 scharf:2 saunders:1 longer:2 fsf:22 assume:14 dτ:4 fsm:25 together:3 time:16 push:1 serious:1 n2:4 n3:8 restored:1 peacock:5 concept:3 overplotted:1 chain:9 global:5 focus:2 leads:20 garching:2 grateful:1 llc:1 inverse:71 depend:2 zone:1 graph:1 technique:3 finally:6 suffered:1 circumstances:1 rx:2 advantage:7 orthogonal:6 emphasizes:1 dokl:1 geometrical:1 exact:3 clouds:1 presented:34 did:2 turns:7 fftw:2 ffts:6 sǫ:3 discrete:17 team:1 accumulation:2 prevent:1 mn:1 slower:4 l69:1 l93:1 trend:1 dealing:1 maximization:4 discover:1 sign:4 substitute:2 spectral:1 adds:2 appear:3 comparable:2 souradeep:1 current:3 international:1 satisfy:2 supporting:1 malized:1 realizations:5 understanding:1 address:4 alone:1 along:3 taylor:3 appears:2 change:6 box:1 vectors:20 borrill:1 commonly:2 chemical:2 poisson:5 usually:10 conveniently:1 studies:8 windowing:15 plotted:4 emerge:1 inference:7 convolution:6 δdm:6 extra:8 teyssier:1 prefer:1 f2:1 planck:2 additive:3 positive:21 scenarios:3 going:1 memory:1 scope:3 associated:1 theoretical:4 introducing:2 apparent:1 distribution:78 appendix:64 cases:17 effort:2 logarithm:1 parameterize:1 unbiased:4 deformed:1 modified:8 extremum:1 regions:10 values:16 following:54 webster:3 modifies:1 trans:3 lhs:2 nearest:1 want:5 figure:14 predict:1 expanding:1 permutations:2 confused:2 sample:22 weighting:2 posing:1 performed:3 occur:3 verlag:2 normalize:1 regularization:44 redundancy:2 requirements:3 discussion:8 s0:1 orthogonality:4 write:5 rubin:1 criterion:2 pure:1 geman:4 optimal:15 3dimensional:1 parameter:22 map:31 product:10 huge:1 may:12 max:3 respective:2 klypin:1 applications:6 smoot:1 deviates:2 date:1 rows:2 data:119 sz:2 natural:9 dynamical:2 whenever:2 sr:20 explicit:1 yielding:2 cosmology:1 sk:3 sj:5 si:11 so:12 sm:5 representation:22 conjugation:5 sf:1 superscript:1 subsections:1 indeed:1 pointed:1 displayed:1 stability:1 course:1 experiments:2 lss:34 statistical:34 lsq:11 still:4 ieee:5 observational:7 machine:1 derive:13 τj:9 thank:1 acknowledge:1 interesting:5 jij:2 nontrivial:1 decreases:1 forms:1 attraction:1 window:4 differentiating:1 constitutes:1 mail:1 main:3 non:65 unveiling:2 conversations:1 processes:11 introduce:12 scaling:7 prunet:1 hamilton:4 identically:1 nov:1 now:14 discuss:10 nor:2 inversion:15 equality:1 stabilize:2 possibilities:1 realistic:2 instability:3 entirely:1 square:10 significantly:7 ed:5 gaussian:74 astrophysical:2 entering:1 approximated:3 eq:107 ep:1 es:2 heatbath:1 ultimately:2 space:73 furthermore:2 squared:9 cancels:1 generation:4 looking:2 cobe:20 contained:2 formula:21 squares:5 correct:12 shows:19 earlier:1 theory:9 variant:2 e4:1 mechanisms:1 k11:1 possibility:3 quite:1 dependencies:1 complicated:4 bayes:8 argo:19 e5:1 span:1 remainder:1 e3:1 e2:1 derivation:9 transition:2 iterative:22 fb:7 motion:1 hanany:1 frieden:2 gordon:2 think:3 first:23 origin:3 xh:11 spergel:1 ignored:3 m6:1 variables:4 faculty:1 transform:2 simplified:2 fast:14 directly:4 crit:2 loredo:1 array:2 angular:1 size:8 1p:1 little:1 quality:12 structured:9 anderson:1 fm:8 j4:1 1d:1 realization:7 white:7 structures:11 speaking:1 gives:4 mining:1 conˆ:1 mostly:1 asymmetric:1 continuous:3 j1:1 short:1 mems:2 representing:3 than:15 specify:1 attenuates:1 unfortunately:2 require:7 janssen:4 future:1 implicitly:3 were:9 outcome:1 published:1 m2:2 correction:5 generalization:6 medical:1 say:4 ribak:3 natoli:4 any:14 computationally:3 nityananda:2 efficient:11 converges:7 note:42 ideal:1 potential:3 take:4 objective:3 performance:15 coincide:2 mayet:3 urge:1 multiple:1 trace:3 normal:3 enter:3 neubauer:2 algebraic:2 printed:1 successive:1 multiply:1 america:2 inserted:1 sutton:4 sums:1 especially:17 nonlinearity:1 considered:11 tive:1 average:11 later:4 maddox:1 typically:2 quantity:10 slope:1 shot:5 show:39 submillimetre:1 spaces:2 fletcher:9 faster:2 superb:1 paradoxes:1 slow:1 ratio:2 aψ:16 dick:1 gull:8 state:2 only:31 explicitly:2 black:5 rowan:1 recipes:1 informatique:1 cic:1 get:11 frequentist:1 expectation:5 dyr:1 truly:1 cannot:6 nearly:3 aη:1 progress:1 2mi:5 bardeen:4 boundary:4 ssc:1 reveal:2 regarding:1 yield:1 summary:4 predicted:2 finishing:1 discussing:1 kernel:3 j8:1 j9:1 eriksen:8 imposing:4 j5:1 j6:1 j7:1 deconvolution:4 ends:1 j2:2 j3:1 relative:1 ignores:3 uncorrelated:4 satisfies:1 αs:3 satisfying:1 ways:1 subsequent:7 review:6 definite:4 importance:4 enough:1 bureau:1 between:51 affecting:1 justified:1 reading:1 multiplied:7 notice:4 vertical:1 smooths:1 suppresses:1 concentrate:1 ji:2 multiplier:2 analyzed:1 suppressed:1 pixels:6 recall:1 gaussianity:9 derivatives:1 resides:2 kogut:1 many:11 region:12 according:11 enabling:1 voronoi:1 expression:44 σv:1 comes:2 among:1 filtering:12 characterization:1 color:1 overview:3 jk:3 sampling:28 exploit:3 stretched:2 iterations:3 cancel:2 constant:8 l75:1 considers:1 conserves:1 considering:6 oliver:1 stretch:1 invert:6 sheth:2 springerverlag:1 combined:1 borders:1 wants:3 direction:8 enable:1 unsampled:5 k18:1 designed:1 formed:1 photon:1 bayesian:78 careful:4 former:5 those:1 case:59 engineering:1 invoking:1 proves:1 transactions:1 situation:1 nonstationary:1 rosenbluth:2 orientation:1 c1992:1 αsi:2 discrepancy:1 cluster:3 regularity:2 bias:16 converts:1 jasche:1 sauer:2 different:61 develop:7 propagation:2 pay:1 bowl:1 same:23 epoch:2 arguments:4 regime:9 jeffrey:11 investigated:3 jest:3 trivially:2 drives:1 constraining:1 arose:1 nl:1 sunyaev:2 relies:2 costa:1 modes:3 minimize:3 k20:1 severe:1 without:15 solve:8 components:3 model:39 whereas:7 bromley:2 manifold:4 gdu:6 cj:3 being:27 generally:2 guided:1 rest:14 scoccimarro:2 reality:1 speed:7 underline:1 sampled:19 lebesgue:1 remember:2 seems:6 except:6 improvement:3 instrument:1 priori:1 treatment:14 samples:4 sampler:2 real:37 aspects:1 around:6 psm:3 read:3 psf:4 early:2 inflation:2 grid:6 mon:1 using:31 moreover:5 reduces:6 velocities:15 facing:2 either:7 fully:1 stationary:11 reduced:2 learning:2 exposed:2 reveals:1 conditional:11 elements:3 table:18 provided:4 kaiser:8 dimensions:10 confirm:1 conservative:3 decomposition:2 provides:3 refer:1 metropolis:4 scientific:2 power:47 equivalent:17 notably:1 biases:2 explicitely:1 2n:1 comparison:6 radioastronomy:1 package:3 smear:1 discussed:14 meaning:2 practical:1 bertschinger:2 estimator:53 wolf:1 stand:2 acyclic:1 op:1 enhancement:1 berger:3 cambridge:1 lowing:1 redshift:35 instruments:2 image:11 numerically:1 ηj:1 references:3 inverting:1 determine:12 operator:44 factorized:1 reinecke:1 rewarded:1 log:60 assumed:13 strictly:2 there:18 dispersion:4 start:7 low:7 assumes:1 complete:4 posterior:22 stably:2 convolving:1 mnras:56 amplify:1 volume:6 applying:7 dψ:2 multiplicity:3 dφ:2 signore:1 multiplications:4 detailed:6 definitions:5 certain:6 describe:3 moved:1 general:25 scanned:1 file:1 formulation:6 corresponding:15 gradients:9 moves:1 fill:1 again:5 mathematik:1 storage:1 green:11 field:49 valid:6 gelman:4 spatial:2 mathematics:1 deviation:1 briefly:2 symbol:2 aster:2 terra:1 deriving:2 a3:3 important:3 a5:2 a4:2 suited:1 n1:5 tackle:2 tanner:4 percentage:1 mask:4 mass:2 carlin:1 resembles:1 cpr:1 starting:4 original:5 represent:8 gaussianities:3 consider:7 caused:1 ferreira:1 generalize:1 dsp:1 follow:1 expressions:14 denotes:2 voids:1 causes:1 synthetic:3 particles:4 remarkable:1 albrecht:3 c7:1 equivalence:8 tr:6 removal:2 diluting:1 foster:2 c5:1 th:1 stochastic:5 correcting:1 norm:3 δgr:3 mpg:1 mpc:1 straightforward:7 mpa:1 very:30 standards:1 l5:3 fall:2 difference:9 condition:3 splits:1 treating:3 braces:2 deficient:1 evaluation:1 large:27 kitaura:23 plain:1 small:6 anal:1 supression:1 rate:1 perspective:5 further:19 nonlinear:5 diag:13 section:98 orski:3 version:1 inferences:1 subspaces:1 scientists:1 windowed:1 method:64 contrast:4 raton:1 full:7 component:6 behaviour:6 amplification:1 polak:9 relaxation:1 directions:1 november:2 strong:1 equations:7 search:1 fwf:35 allows:8 prior:89 amount:2 milky:2 action:17 succesive:1 sugiyama:2 options:1 via:2 followed:1 marginal:1 limon:1 pulls:1 rki:2 rkj:2 takes:5 probabilities:3 contains:4 strauss:1 ψj:3 comparing:3 ψi:1 ψl:5 mysterious:1 astr:3 iteratively:2 more:25 inferential:1 flat:11 operators:15 corrected:2 tested:13 particular:14 known:15 analogous:5 none:1 middle:2 h10:1 science:3 equation:28 det:2 remain:1 strategies:2 f1:1 compare:3 f3:1 dupraz:1 cosmological:11 stated:1 szalay:3 isw:2 neglected:1 ann:1 states:1 sphere:1 minimum:4 numbers:1 sense:4 robinson:3 information:36 needs:1 goal:5 colless:1 rather:2 conserve:3 maps:4 ensemble:10 fp:3 fr:14 fs:11 ft:1 inflationary:4 advice:1 derived:22 mapping:9 αmi:1 korteweg:2 tries:2 coming:3 verified:1 choice:3 fl:5 response:9 burns:2 criticize:1 preferential:1 onto:1 extrapolation:1 negligible:3 help:2 developed:6 distortion:2 wiener:66 paper:23 through:19 filters:6 existence:3 kibble:2 its:29 discretizing:2 style:1 rapidly:4 solving:4 blurring:21 starobinsky:2 actually:2 absence:2 systems:2 jacobi:7 penn:1 might:2 good:10 propose:14 yy:2 framework:15 dnl:1 motivates:1 oxford:2 smoothness:1 bigger:1 ift:2 easily:8 2q:1 always:2 level:2 mahalanobis:4 capability:1 radial:6 found:12 likelihoods:5 characterized:1 referred:1 transforming:1 formulate:1 catalogues:2 energy:3 hard:2 reduce:1 been:20 obtains:7 measurement:4 quantum:2 balk:1 operation:13 beyond:2 simplify:1 solved:5 robert:4 since:30 viability:1 research:4 acting:1 hill:1 denoted:3 aligned:2 blaschke:3 issue:1 occurs:4 benjamin:2 foreground:2 asp:3 reformulated:1 upon:1 guess:1 reason:2 imaging:1 generate:5 improved:1 definition:18 omit:1 plot:5 conducted:1 exponentially:2 consequence:2 top:1 βlm:1 probability:12 encoding:1 number:12 done:17 defects:1 stage:1 differ:7 perturbation:1 introduction:6 leading:13 least:9 belongs:3 assumption:3 statement:2 scheme:30 smoothed:1 recovered:3 too:4 calculations:1 relationship:1 behind:2 baryon:1 imprinted:2 measurable:1 lynden:1 part:5 differentiate:1 authors:1 translation:1 gheller:1 postulate:1 kind:7 cyclic:1 horizons:1 aims:1 determined:4 pairwise:2 fˆ:7 treated:4 rσ:3 motivation:2 derivative:2 phy:1 krylov:22 conjugate:12 elsevier:1 null:4 fading:1 cosmography:3 lilje:1 built:4 depending:4 self:4 k3:5 k2:3 k1:5 k7:2 generalized:6 k5:4 k4:4 finding:3 k9:2 k8:3 aliasing:2 added:8 rhs:3 balbi:1 l99:1 most:19 compt:1 position:3 measured:3 l103:1 stands:4 approximates:1 deviations:7 kj:1 clear:3 sometimes:1 coincides:6 holtzman:1 dimension:4 optical:2 exp:30 velocity:9 ky:2 kx:2 physics:8 converge:9 minimizing:4 relation:15 carefully:1 heavens:1 fine:1 find:12 giant:1 simulating:2 parameters:29 distributed:11 penalty:4 increasingly:1 experiment:2 factor:14 integrable:1 distributes:1 columns:3 dominant:1 notation:10 dependent:2 poutanen:1 valuable:3 closely:2 during:1 silk:1 biometrika:1 arxiv:2 stirling:1 combine:1 crc:1 investigate:2 dovich:2 common:2 approaching:1 scanning:2 set:13 art:3 ser:3 achieved:6 throwing:1 intelligence:1 pilar:1 see:197 individual:3 sec:1 arg:2 close:7 lee:1 project:1 pictures:2 various:5 cooray:2 contrary:6 subscript:1 avoidance:1 conditions:6 available:3 lasenby:2 recently:2 statistically:2 missing:4 numer:1 attention:1 poorer:1 skilling:9 distinguish:1 αps:1 both:13 recherche:1 last:7 sensitive:1 tightens:1 context:3 pdf:31 bond:2 whole:4 finds:1 reside:1 dm:12 noninformative:1 point:14 simple:4 smith:3 others:1 corresponds:1 dimensional:18 vardi:3 cortijo:1 expensive:4 pr:16 ps:49 pp:12 described:6 transformations:1 acceptance:1 due:22 deblurring:1 strategy:2 pb:3 describes:2 conjugated:2 ph:1 pi:2 pn:21 generating:3 versa:1 gas:1 covariance:41 neumann:1 determination:2 representative:1 systematic:2 demand:4 surveys:11 developments:1 dwyer:6 handling:1 unify:1 look:6 exponential:1 frozen:1 cybernetics:1 reliable:1 estimations:1 bψ:1 ǫn:9 optimization:3 replaced:1 behavior:4 error:12 loop:1 resolved:1 studied:2 suonio:1 vol:2 reads:2 itself:2 rij:1 rik:2 bernardo:3 lengths:1 rules:3 widely:2 resulting:6 interpolation:3 development:5 used:27 assignment:3 moment:1 strength:1 uses:3 purpose:3 vogeley:2 dark:12 lower:6 analysis:13 edge:5 astrophy:3 consistency:1 parametric:1 hastings:3 distances:3 shape:4 regardless:1 alternative:8 alignment:2 λl:7 kraan:2 cut:1 kluwer:1 conclusions:2 decomposes:1 signals:16 location:1 theorem:6 input:10 huey:2 transformation:3 euler:1 k6:2 lacking:1 loss:2 big:1 showing:1 unlimited:1 appendices:1 insert:1 integer:1 moody:1 shaped:2 follows:6 signal:172 separately:1 communications:1 yields:20 popular:1 mcgraw:1 essential:1 mathematical:6 methods:110 some:39 back:1 b4:1 understood:5 b6:3 b7:1 molina:2 examples:2 sight:1 b3:1 oscillations:1 b8:2 b9:1 investigating:1 scale:25 describing:1 affects:1 decision:1 though:5 saar:1 per:1 pen:2 behave:3 connecting:1 proc:1 yvon:3 denominator:2 run:2 hold:1 processing:2 aj:1 confidence:1 step:28 become:3 plots:4 hilbert:2 delaunay:1 constraint:2 completing:2 boltzmann:1 simulation:2 recalling:1 range:2 extensions:1 fredholm:1 radiometers:1 consequently:13 gamma:4 computational:1 bsj:1 into:27 within:7 integral:9 appropriate:4 primarily:1 proportional:4 uncertainties:23 statistics:9 institut:1 classical:3 retrieving:1 probabilistic:3 sequence:2 long:1 forward:3 analyze:2 sections:9 opens:1 arise:1 great:1 gauss:2 properly:1 repeatedly:2 delta:2 pwn:7 subsidiary:1 line:7 relaxes:2 directed:1 rejection:2 intuitive:1 underdensities:1 characteristic:1 uv:1 up:10 us:34 ur:1 ul:5 un:6 ui:3 sum:3 autocorrelation:9 fluctuations:17 similar:7 called:14 ordered:3 defined:9 detectors:2 redshifts:2 influence:1 kurki:1 single:1 tomography:2 formalism:15 prevail:1 baldry:1 priory:1 m5:1 amounts:1 priors:18 nal:1 pierpaoli:4 application:7 points:4 b12:1 b10:1 b11:1 deviate:1 mock:1 draw:1 latex:1 generates:3 calculating:3 gross:1 problems:15 replace:1 generated:6 restoration:2 kz:2 fisher:20 depicting:1 sides:1 structure:39 correlated:2 implies:4 algorithm:35 vice:1 svd:1 required:19 equivalently:2 depth:1 far:7 requires:10 having:3 once:2 code:2 partial:2 results:25 existing:2 eds:6 amplified:1 gj:4 issues:2 simon:1 deterministic:1 uniqueness:3 contours:2 excluded:2 stable:1 tegmark:9 include:3 dramatically:2 g2:1 g1:2 listed:4 halpern:1 stabilized:1 paraboloid:1 matrices:13 tadros:1 dimensionality:2 magic:4 positions:3 bouchet:2 try:3 swf:1 dealt:1 nusser:2 smaller:2 compensated:1 biased:3 astrophys:3 imply:3 concludes:1 manipulating:1 carlo:6 index:1 invertible:13 http:1 analogously:2 expressed:10 cell:6 stompor:3 secant:1 flowing:1 hobson:12 exercise:1 3d:1 body:3 multivariate:1 measurements:7 degree:2 multinomial:1 respectively:16 jointly:7 analysed:1 boca:1 desired:1 explore:1 objects:2 focused:1 making:6 consideration:10 extrema:1 implicit:2 extreme:1 convert:1 grandy:1 technical:2 involved:3 larger:2 h2:1 products:2 existent:1 implement:1 makes:2 involves:1 copes:1 formulated:1 stabilization:2 scales:8 manage:1 limt:1 apj:24 addressed:2 apply:5 tools:1 cloud:2 use:11 asymptotic:9 remains:2 jarosik:1 next:8 calculation:8 estimated:4 panel:59 reflects:1 formally:3 h1:2 becomes:7 gi:5 iid:2 normalized:2 iii:1 high:10 account:14 balls:1 challenge:2 averaged:1 infinitesimal:1 stabilizes:1 universe:10 fulfill:2 scatter:1 proof:3 control:1 dn:2 process:26 purposes:2 reconstructed:7 assumptions:2 employs:1 holds:2 negation:2 mclachlan:5 b5:1 instead:3 h5:1 pink:4 singular:4 masks:3 fits:4 da:1 efficiently:2 purely:1 coupling:1 light:1 counter:2 lines:2 correspond:1 element:1 allow:2 subsequently:4 divided:1 fastest:1 produces:3 astronomical:1 h8:1 interpreted:4 produced:3 overdensity:1 including:7 looks:1 mentioned:9 jaynes:3 galaxy:56 contaminated:1 perfect:1 superior:3 ld:1 efstathiou:4 lc:1 chosen:6 inclusion:1 tsc:1 estimating:2 lt:1 primordial:3 degrees:2 choose:3 lp:2 communication:1 clusters:3 defining:2 setting:2 lx:4 ly:3 dag:1 fourth:1 factorial:1 outlined:1 practice:1 h7:1 satellites:2 dataset:1 transparent:1 dirac:2 undertaking:1 university:4 traced:1 identified:1 l6:2 sufficiently:1 l4:1 magnitude:1 l2:4 latham:1 l1:3 traces:1 lorentzian:1 constraints:3 doing:5 related:6 inverted:4 society:2 frequency:1 interplay:1 measure:7 our:22 transitions:1 preconditioning:21 shannon:6 out:25 maximizes:3 matrix:85 mcmahon:1 rev:8 posteriori:3 socalled:1 cwn:4 cause:1 integrated:1 red:11 crg:1 franc:1 galaxies:25 diagonal:12 completely:1 threedimensional:1 convolutions:4 likelihood:70 hubble:2 updating:1 determining:2 could:13 florida:1 frenk:1 feasible:3 length:9 derivations:2 ltd:1 hence:7 mankind:1 suffix:1 martin:1 third:1 reaches:1 hitherto:1 randomized:1 improvements:1 representations:5 reached:1 precisely:1 rs0:1 biasing:1 reference:1 simulated:2 unknown:2 adjoint:5 behaves:1 system:14 relations:6 their:17 quanta:1 siam:3 perfectly:1 final:2 wollack:1 ballinger:4 exactly:2 nolta:1 simulate:1 manipulation:1 overwhelming:1 rsr:30 outline:1 observed:5 subroutine:1 pads:5 limiting:1 ss:1 amplitude:2 nominator:2 distinguished:1 fluctuation:1 curves:7 chapman:1 need:11 curved:1 constrained:6 apparently:4 clearly:7 hessian:7 rearranged:1 min:1 able:1 mechanism:1 instance:1 best:1 subject:1 linde:3 accuracy:3 lectures:1 unless:1 jain:1 preliminary:1 intrinsic:11 class:5 astro:1 esquej:1 face:1 hierarchical:1 mechanical:1 gest:1 sd:16 fact:3 atmosphere:1 selection:27 βhs:2 bring:1 convolved:1 trivial:6 subtracting:1 based:29 knowledge:6 specified:1 should:13 h11:2 ngp:1 truncation:2 local:4 achieve:4 equilibrium:2 handle:1 means:2 mainly:6 overall:3 stripes:2 joint:28 ones:2 words:1 probably:3 richards:1 arranged:1 burned:1 areas:2 qp:2 evolution:3 dps:1 densities:5 upper:6 luminosity:1 differential:1 calling:1 qa:25 optimally:1 qe:11 gram:5 contain:2 comma:1 gravitational:6 view:2 requirement:2 multiplying:4 motions:2 exists:4 national:1 operates:1 intensity:3 computer:4 truncating:1 enhanced:2 violet:3 luminous:1 closer:2 pattern:2 tend:2 written:3 identification:1 correctly:6 wn:9 crude:1 invariant:6 neither:3 publishers:1 2ps:2 extremized:1 nongaussian:1 yahil:2 transpose:3 ignorance:2 efficiency:6 4m2i:1 key:1 configuration:2 problem:38 observable:5 taking:12 equal:2 fulfilled:3 etc:5 komatsu:2 estimation:20 teukolsky:1 otherwise:2 ck:2 strongly:8 ci:8 relevant:2 conclude:4 poissonian:38 cg:1 harmonic:1 walk:1 m10:1 diverges:4 maximize:3 respect:16 basing:1 erased:1 addition:6 underlying:29 scherzer:2 slowly:1 treat:1 hawking:2 erases:1 define:9 arises:3 controlled:1 sufficient:1 subspace:1 angles:1 astron:1 c3:1 c2:3 c1:1 reeves:9 c6:2 present:15 c4:3 hockney:2 multi:1 novel:15 survey:5 contexts:1 lz:2 nd:58 primack:1 value:11 choices:2 will:60 vi:3 thus:27 surface:1 vr:1 demanded:1 regression:2 s2i:2 indistinguishable:2 unity:2 gibbs:7 gets:1 infer:1 difficult:1 infinity:2 econd:1 effect:11 v2:1 infinite:3 frequently:1 tucker:1 off:1 nevertheless:9 modeled:6 well:9 thought:1 residuals:22 sets:1 comparisons:1 soviet:1 spherical:3 arbitrarily:1 less:4 moments:3 hybrid:3 accurate:7 obtain:12 sources:2 stored:3 web:1 rapid:1 density:54 bell:2 sky:8 mathematically:4 guth:5 add:1 extends:1 dqa:3 skl:2 skj:1 identical:4 tests:6 fluctuating:2 term:20 increases:5 unseen:1 press:9 immediately:1 knox:1 technometrics:1 improper:1 necessary:5 like:27 sizes:1 alternatively:3 qualitative:3 extremely:5 δk:2 powerspectrum:4 δf:1 δg:1 δd:7 works:4 page:1 imprints:1 δa:1 therein:2 poor:3 because:15 regularizes:2 regularizer:2 searching:20 library:2 regularized:5 choosing:1 proper:5 star:1 proofs:1 neglecting:1 happens:1 est:2 jeremy:1 lead:13 l7:1 demonstrates:1 avoid:4 does:13 assuming:11 demonstrated:1 l3:1 noise:101 disentangle:2 demonstration:1 journal:10 ensures:1 expansion:6 although:3 offset:1 includes:1 periodically:2 noisy:2 a1:1 about:11 carried:2 freedom:3 introduces:4 dependence:3 compatible:1 a2:1 l8:1 balkowski:2 introduced:6 software:2 equally:1 h9:1 letters:4 coverage:4 previously:4 h3:1 a6:1 h6:2 functional:1 h4:1 sachs:1 included:3 en:1 tiny:1 estimators:9 lahav:19 ridge:3 additional:14 transfer:1 smoothing:2 quadratic:13 daniell:2 inner:2 crucially:1 fˆb:53 naturally:4 function:77 hs:2 triangular:1 but:19 hu:3 subjective:1 repeated:3 construction:2 convergence:22 highest:3 partially:2 made:6 coefficients:4 jaffe:1 levin:2 cells:7 below:11 limit:2 iterated:1 steepest:9 demonstrate:1 percival:5 eisenstein:3 mechanics:1 dots:9 aµj:1 curve:19 universal:2 denote:3 goodness:3 relates:2 ing:1 happen:1 functions:12 compared:1 detail:6 adequately:2 other:32 special:3 kinds:1 radially:4 shown:25 augmentation:2 astronomy:4 friends:2 searches:3 auxiliary:2 resolution:1 factors:5 rule:2 searched:2 richardson:9 validation:1 |
0705.0431.txt |@word limited:3 khalil:1 squared:1 dynamic:1 yellow:1 four:8 entropy:2 trodden:1 increase:2 feeding:1 violate:1 presents:1 ℜe:1 under:11 regan:1 ergo:1 worth:1 bergstrom:1 p1:19 λh1:1 affect:3 tagging:1 school:1 p5:2 solution:7 cms:1 possiblity:1 jhep:14 miller:3 consistent:4 direct:25 unpolarized:1 approximation:1 elegant:1 second:7 me1:1 me3:1 estimated:2 quite:2 even:33 neutralino:107 errors:7 selected:1 mlp:1 above:20 new:9 tips:1 contributes:1 reliably:1 here:15 asymmetry:20 mev:2 supermultiplets:1 jcap:1 mer:2 active:1 tevatron:3 κs:1 obtained:17 balance:1 vsoft:2 leaves:2 settles:1 stressed:1 nationalfonds:1 suitable:2 changes:1 cancellation:1 explained:3 highly:2 visible:3 unitary:1 achievable:1 neutrino:7 total:12 propagators:1 quasi:2 would:27 abbreviations:1 negative:1 noting:1 m1:14 therefore:16 m3:3 m2:15 survive:2 type:1 separated:1 relax:1 successful:5 excellent:2 must:8 abundance:4 ma:11 ml:1 setup:1 work:17 mi:1 cancellations:2 mu:2 mt:3 mw:9 era:1 ms:7 hansen:1 my:1 mx:1 mz:31 impose:1 indicated:5 give:5 organized:1 indicates:1 want:1 absolute:1 argonne:2 end:3 hoc:1 provide:9 feature:2 fermion:2 how:3 instrum:1 chargino:49 significance:1 answer:1 description:1 earlier:1 meaningful:3 types:1 attempt:1 effective:13 gluino:10 green:2 correlation:4 order:30 edsjo:1 interpretation:1 over:1 summarized:3 vary:1 satisfied:2 demidov:1 experimentally:3 diagonalized:1 bastero:1 fit:18 better:3 production:40 fig:16 schmidt:6 easier:1 them:1 combination:15 enrico:1 band:2 bang:2 effects:7 they:12 elliott:1 represents:1 gev2:2 backgrounds:18 reasonable:1 each:3 carlos:1 telescope:1 haber:2 delgado:2 used:9 combining:1 substantially:3 laboratory:5 extract:4 cosmologically:1 restricted:1 crucial:3 particles:14 combinatorial:2 sfermions:2 mν:1 neutralinos:30 washes:1 mχ:52 linear:4 veto:1 given:12 standard:16 md3:1 estimate:3 md1:1 chiral:7 cosmic:1 signature:3 corrections:13 ehad:1 already:8 features:1 primary:1 channels:6 weinstock:1 another:4 likely:1 similarly:7 eqs:2 needed:1 confirming:1 rates:8 observations:4 john:1 murayama:2 2ab:1 2ac:1 binned:1 edms:2 nominal:1 somewhat:1 target:1 approximations:1 tree:7 rate:1 shower:1 matter:44 osland:1 perturbative:6 rad:1 ev:1 modeldependent:1 mind:1 spectrum:16 seen:3 seem:2 minv:2 relatively:21 strength:4 responsible:2 isolated:2 predominantly:5 absorbed:1 10t:1 blue:6 shall:1 extending:2 boltzmann:3 involving:2 phase:54 transverse:5 inconsistency:2 observation:4 parametric:1 calculated:4 detectors:1 doe:2 points:2 principle:3 sun:2 rummukainen:2 sum:1 fitted:5 reserve:2 signatures:2 lewis:1 probe:4 gauge:16 solutions:1 larson:1 proposed:1 spite:2 explain:5 sˆ:1 zeplin:1 constant:4 do:5 di:3 de:19 stop:15 preferred:1 despite:1 report:3 unfortunately:2 cleanly:1 neu:1 fields:3 acknowledgments:1 bal:3 reference:10 sensitivity:4 detection:27 naturalness:1 depends:4 result:12 discussions:1 best:6 techniques:2 delphi:3 supergravity:1 symmetric:1 simplest:2 d56:1 discovery:6 terms:6 positron:1 nature:2 weak:12 however:27 sbottom:3 contamination:3 improve:2 suggested:1 essentially:2 ilc:70 uncertainty:6 planned:2 receives:4 0j:3 distinction:4 contribution:13 0i:6 excess:1 lep2:2 m4t:2 quinn:1 mssm:24 basis:5 radiative:8 three:7 been:14 extraction:2 much:5 expected:15 lohmann:1 dots:10 supersymmetric:24 suppress:1 barklow:1 spin:18 θw:2 applied:2 originate:4 near:7 applies:1 endpoints:5 elaborate:1 procedure:3 seven:2 played:1 phenomenological:5 iv:1 ii:2 il:3 superpartner:7 cools:1 perform:1 make:1 complex:17 potentially:2 split:1 mixtures:1 dimensionless:1 several:7 independent:13 peaks:2 numerical:1 hand:7 kim:1 nir:2 opportunity:1 b497:1 modelindependent:1 weakly:5 scenario:42 simulated:3 quantitative:1 higgses:1 fermilab:4 left:16 stringent:3 just:1 newton:1 rotated:1 proposes:1 identify:1 scattering:11 eigenstates:4 previous:10 enters:2 ham:1 candidate:3 prokopec:3 nlsp:3 phsm:3 cirigliano:2 yukawa:3 possible:14 possibly:1 fusion:4 unification:6 background:40 picasso:1 efi:1 roulet:2 specific:2 follows:1 nevt:7 www:4 right:15 deal:1 successfully:1 sbottoms:1 born:3 aspen:1 indirect:3 rapidity:1 bottom:4 quarks:2 yields:1 minimization:1 huber:2 pose:2 φm2:3 illustration:1 φm1:4 leptons:10 rectly:1 super:1 properties:10 chapter:2 o:10 nonvanishing:1 distinct:1 ensure:2 slightly:2 contours:2 vempati:1 presence:13 rotations:1 bound:15 lies:1 cascades:2 abel:2 wλ:1 rely:1 initial:3 approximate:1 width:9 way:2 astrophysics:1 gil:1 was:3 interrelation:1 form:2 kawagoe:1 differences:1 removes:3 removed:3 true:2 ethr:3 4m2χ:2 happen:2 emin:5 detectability:1 bounds:12 fermi:2 azs:2 raspereza:1 originating:5 computing:2 tesla:3 abstract:1 proven:1 evidence:1 conserved:1 exist:2 distributions:5 check:4 endcap:1 discriminate:2 no:10 whereas:2 when:6 vanishes:1 role:8 papers:1 test:4 desch:1 node:1 picture:1 superposition:1 models:6 kitano:1 uniformly:1 pythia:1 3h02:1 assume:5 sigma:1 pseudo:5 together:5 time:3 push:2 observables:6 nuclei:3 stick:1 chain:3 focus:1 menon:4 leads:4 roy:3 parker:1 computation:2 discern:1 depend:2 eˆ:3 finally:4 giga:4 division:3 advantage:1 ibrahim:1 choice:2 entries:2 emphasized:2 exact:1 evaded:1 losada:4 impressive:1 level:18 irreducible:1 gun:1 discrete:3 gut:5 m212:14 upper:13 mn:1 dealing:1 discover:3 sign:2 cost:1 appear:5 spira:1 current:12 amounting:1 satisfy:1 gaitskell:1 partners:1 understanding:1 smearing:2 cos2:2 alone:3 appears:3 change:1 box:1 06ch11357:1 incoming:1 institute:2 shift:1 studied:5 example:7 usually:2 resonance:2 riotto:2 studies:2 emerge:1 useful:3 2m2χ:2 supercdms:3 gluon:1 planck:3 flavors:1 sopczak:1 positive:1 predictions:2 scenarios:6 scope:1 theoretical:5 diagrams:5 smeared:1 introducing:1 share:1 beamstrahlung:2 primarily:1 olive:1 cases:1 fermionic:2 avoiding:2 modified:4 ms1:1 values:26 following:16 making:1 flc:3 dedicated:1 ma2:2 figure:14 predict:1 sample:1 performed:6 allowed:18 occur:1 monash:1 requirements:1 s3:5 s2:18 discussion:5 comphep:3 chemical:1 pure:2 parameter:25 sparticle:7 b406:1 rept:4 may:21 max:18 abbiendi:1 cteq6m:1 produce:1 deviates:1 improving:1 data:18 ene:1 sectors:2 higgs:111 explicit:1 yielding:1 su:2 cosmology:5 cascade:1 si:3 so:26 godbole:1 sm:24 typical:7 aforementioned:1 constituents:1 pointed:6 mainly:9 unacceptable:1 ttt:1 stability:1 unacceptably:1 experiments:22 lsp:9 cuts:18 cold:2 still:4 derive:2 group:3 thank:2 acknowledge:1 interesting:6 pandita:1 inflicted:1 window:2 cline:1 main:12 non:14 nilles:1 half:1 nor:2 term:12 thankful:1 zeppenfeld:1 possibilities:1 entirely:1 goldstone:1 domain:1 significantly:2 kang:1 kane:2 squark:5 astrophysical:12 ex:2 entering:1 approximated:1 avoided:1 eq:9 er:1 shown:18 jackson:1 ejj:5 space:7 furthermore:7 homepage:1 lagrangian:1 looking:2 collisions:1 extrapolate:1 investigation:3 formula:1 correct:1 shows:6 after:15 theory:6 succesfully:1 mechanisms:1 possibility:5 quark:4 besides:3 forbids:2 widths:3 transition:17 turn:1 place:1 massive:1 colliders:8 first:23 origin:2 spergel:1 vacua:1 symmetry:12 singlino:9 directly:5 carry:1 impossible:1 open:1 opel:1 computed:2 little:1 checked:2 lcws:1 theoretische:1 indicate:2 realization:2 white:2 frame:5 gives:6 mostly:1 accurately:1 electroweak:31 λv2:3 than:25 wide:2 hepph:1 third:6 accordance:1 require:2 transferred:1 future:12 were:3 zsi:1 νl:4 addressing:1 generality:1 anl:3 ann:3 departure:2 seco:4 inequivalent:1 any:6 efficient:1 note:10 potential:11 davies:1 channel:18 nmssm:60 multiple:2 opposite:1 probed:4 enter:1 neutrinos:3 paid:1 pair:14 baryons:3 considered:4 average:1 implications:1 wing:1 nuclear:1 typically:7 quantity:1 precise:5 lebedev:1 show:7 morrissey:5 discovered:4 helv:1 threshold:8 fifth:2 sj:1 ratio:6 outside:1 hierarchy:2 only:43 going:1 admixture:1 gev:130 get:1 jazz:1 weiglein:1 expectation:6 allanach:1 cannot:4 nearly:1 lighter:2 zhu:1 aλ:27 conjunction:1 secondary:1 disentangling:1 resource:1 yield:1 summary:2 predicted:1 uncover:1 discussing:1 n13:3 n14:3 imposing:2 langacker:3 j2:3 maximum:2 connections:2 namely:1 barring:1 lsoft:1 detect:1 schannel:1 review:1 enough:5 between:26 simplifying:1 before:7 gratefully:1 jj:3 analyzed:6 article:2 suppressed:12 originates:1 motivations:1 many:4 region:8 according:3 contract:2 mazumdar:2 comes:3 nearby:1 among:3 vilja:1 color:1 overview:2 superfield:3 jets:16 pole:3 anti:4 spans:1 cancel:1 moreover:6 considering:2 collider:25 tuning:1 come:3 absence:1 workshop:1 combined:8 choudhury:1 v22:3 enable:1 photon:11 observe:1 careful:1 those:3 case:18 barate:1 selectron:1 cass:1 promising:6 situation:3 engaged:1 discrepancy:1 cluster:1 attributed:1 oi2:1 oi1:1 different:8 assure:1 same:15 epoch:1 physical:10 bring:1 events:14 extended:2 raidal:1 barger:3 mq1:1 mq3:1 edges:6 driven:2 changing:2 relies:2 modes:5 charges:7 roughly:3 severe:2 without:10 solve:2 components:6 communications:1 model:46 charged:7 muon:2 being:4 generally:2 charginos:20 ch:1 flavor:8 leptogenesis:1 sampled:1 hint:1 except:5 improvement:3 lett:21 heavier:4 eigenstate:1 momentum:10 real:4 beenakker:1 around:2 spectacular:1 eigenvalue:1 batavia:2 dark:44 bodeker:1 inflation:2 vacuum:7 using:9 j4:3 calculate:2 particle:11 reduces:1 serves:1 discarded:1 moreno:1 either:4 reduced:14 panagiotakopoulos:3 existing:1 table:8 sneutrino:1 generates:2 ellis:2 accidental:1 confirm:1 stops:3 critical:2 provides:3 moderate:2 majorana:1 measuring:1 notably:1 broken:5 ratios:6 exciting:1 hadron:4 comparison:1 central:3 oh:1 gondolo:1 discussed:7 mixes:2 greatly:1 os:8 op:2 inclusion:1 numerically:2 ηi:1 accounts:1 determine:6 operator:1 ambrosio:1 baltz:1 hep:11 log:1 assumed:11 there:13 b503:1 hadronic:5 low:11 leptonically:3 relic:26 ωcdm:2 recoil:3 webber:1 applying:1 improved:5 systematics:1 ωh:1 ωb:1 agree:1 obtains:3 detailed:4 ac:2 ae:2 ad:3 certain:2 general:9 loops:3 au:5 nucleate:1 corresponding:7 ℑm:2 sarkar:1 again:3 completeness:1 kavli:1 lephiggs:2 field:1 valid:1 parameterizations:1 mathematics:1 sufficient:5 poor:1 polar:2 froggatt:1 includes:2 pjet:2 a2:1 nucleus:2 peak:1 coverage:1 included:5 conclusive:1 curve:1 groot:1 mass:122 2mχ:3 once:2 resolution:1 original:2 represent:2 monte:2 sci:3 consider:1 scalar:16 mp2:2 smoking:1 follow:1 expressions:1 abia:1 content:1 hugonie:2 remarkable:1 tt:24 ts:9 tl:2 th:1 presentation:2 straightforward:1 very:18 fat:1 gz:1 puzzles:1 me:1 nikitenko:1 breit:2 bubbles:1 difference:6 condition:5 gov:1 rubakov:1 list:1 t1:1 large:46 grannis:1 small:32 study:10 grateful:1 appearance:1 zero:12 design:3 further:12 frederiksen:1 tev:17 wmap:8 what:2 sub:2 advantageous:1 diag:1 section:48 method:1 contrast:2 full:3 component:15 answers:1 ranges:3 relaxation:1 strong:12 observing:3 search:4 allows:4 experience:2 amount:5 superpotential:11 schumacher:1 vic:1 via:9 requiring:4 analyzing:1 establish:2 plong:3 mz2:19 ωh2:11 contains:1 charge:1 nucl:30 qcd:3 taken:4 minor:1 more:22 crosssections:1 shaposhnikov:3 tested:4 antibaryon:2 particular:7 known:3 endpoint:4 erratum:2 h10:4 science:1 equation:2 b537:1 b535:1 remain:5 examined:1 gorbunov:1 challenging:1 cosmological:6 scan:31 neglected:2 states:26 minimum:1 numbers:2 arise:1 sharp:1 presently:1 insignificantly:1 information:17 needs:5 λvs:6 rather:5 breaking:16 stemming:5 schael:1 acta:1 simplicity:1 higgsinos:1 advice:1 derived:3 fb:15 plane:3 coming:6 short:1 lhc:62 λv1:4 negligibly:1 spectra:2 trilinear:5 parameterized:1 negligible:3 fundamental:1 baryogenesis:32 help:1 swamped:1 resonant:2 logan:1 paper:2 through:19 committee:1 ms2:1 existence:2 kinetic:1 its:11 meff:1 energies:4 polarizing:1 solving:2 boson:45 fruitful:1 late:1 detected:1 microscopic:1 might:3 supersymmetry:13 good:8 ye:3 yd:3 yf:2 framework:3 walls:1 yu:4 association:2 easily:3 always:5 presented:2 infer:1 2b:9 turns:1 2l:1 found:5 universit:2 characterized:3 heavy:17 accelerator:1 generation:24 energy:32 hard:2 reduce:6 accidentally:1 investigated:2 connect:1 measurement:18 quantum:3 icecube:1 operation:1 beyond:6 event:3 simplify:1 semertzidis:1 admixtures:1 since:32 projected:3 research:1 studying:1 dominated:4 induced:4 occurs:2 belief:1 favored:1 pub:1 difficulty:1 reason:1 generate:5 doublets:5 pairs:10 retained:2 cdms:3 desai:1 espinosa:1 running:2 consequence:4 top:8 grossman:3 major:1 relate:1 number:9 tamvakis:3 demille:1 done:1 miss:1 differ:2 perturbation:1 temperature:4 jet:27 introduction:2 leading:8 moderately:1 least:3 obtainable:1 assumption:2 calculations:1 compromise:1 hundred:4 heuer:2 listed:3 option:1 baryon:26 prediction:2 sizable:5 part:10 fall:1 focusing:1 translation:1 king:2 kind:1 polarized:4 giudice:3 collaborations:3 double:1 annihilation:17 determined:11 contrary:3 motivation:2 comput:1 outstanding:2 heaviest:1 randomly:1 b524:1 substantial:2 tχ:14 orders:6 guchait:1 s22:1 wilson:1 depending:3 carlo:2 self:4 h20:4 extracted:6 liv:1 internal:1 play:2 towards:2 electric:11 reach:8 singlet:32 most:20 charm:1 significant:1 measured:12 stands:1 branching:11 deviations:1 kg:1 clear:2 km:1 clean:1 usual:1 physics:12 technical:2 lying:1 ambiguities:2 thomas:1 directorate:1 particularly:4 v12:2 sfermion:3 fine:1 find:1 impact:1 parameters:41 less:6 distributed:1 destabilize:1 convoluted:2 hadronically:1 factor:2 dominant:9 dependent:8 beams:4 gluinos:4 express:1 liu:1 closely:2 during:2 arxiv:1 garcia:1 investigate:2 common:4 switzerland:1 shaughnessy:2 doublet:2 set:1 september:1 achieved:5 emax:2 see:19 arg:6 close:7 definitely:1 pilaftsis:2 reconstructing:1 dipole:11 various:5 probably:1 conditions:6 available:2 invisibly:4 missing:12 attention:1 vanishing:3 invisible:13 relying:1 both:21 prospects:4 last:1 profumo:2 opal:3 sensitive:4 pdf:2 whole:1 finds:2 experimental:13 point:18 simple:9 corresponds:3 proton:6 simply:2 mistag:2 carena:11 nojiri:1 pr:1 pp:7 pq:7 described:3 transformations:2 pt:6 due:19 strategy:1 pb:2 ml3:1 ml1:3 azimuthal:1 ph:8 deduced:1 generating:2 precision:19 determination:12 representative:2 systematic:4 demand:1 fayet:1 p2:5 bχ:17 mle:2 mll:7 cern:1 while:33 behavior:1 error:20 couplings:17 loop:15 sizeable:12 von:1 reads:3 itself:1 triple:5 m4χ:1 currents:3 definitive:3 grand:1 resulting:2 b481:1 neutron:4 higher:9 literature:1 moment:10 purpose:1 uˆ:3 circumvented:1 recent:1 early:1 lower:8 spent:2 analysis:27 concrete:1 edge:5 consistency:4 entry:2 gsm:4 comprise:1 λs:3 λv:2 lester:1 abbreviation:1 shape:1 plagued:1 questions:1 cut:7 conclusions:3 danger:1 exclusively:2 signals:1 source:1 input:8 remaining:3 australia:1 demands:2 phenomenology:9 couple:3 musolf:2 like:5 imposed:3 sakharov:1 confront:1 signal:27 translates:3 shapes:1 collect:1 imposes:1 indication:1 fnal:1 essential:2 methods:3 morawitz:1 some:7 understood:1 strongest:2 b1:7 b2:8 scale:22 affects:1 measurements:29 superfields:5 per:1 tends:3 ptot:3 proc:3 minimal:5 calorimeters:1 s12:1 s11:3 agreement:3 stem:1 step:2 br:13 zzh:4 plots:1 dictated:1 working:2 constraint:7 simulation:3 melbourne:1 range:6 extensions:9 consequently:2 restrict:1 into:28 within:13 battaglia:1 suppl:2 parton:3 proportional:2 guideline:1 uncertainties:7 statistics:4 institut:1 few:6 placing:1 question:3 depicted:1 bosons:26 analyze:1 sections:23 opens:1 elsewhere:1 atom:2 line:2 rejection:2 consist:1 characteristic:5 up:6 us:4 ur:2 kainulainen:2 uk:1 fluctuations:1 similar:6 called:5 associated:5 influence:1 single:2 commins:1 irrespective:1 heinemann:1 codes:1 application:1 priori:1 department:1 mccaskey:1 elements:1 energetic:1 excitation:1 problems:3 medina:1 generated:7 allowing:3 suppression:3 structure:1 independently:2 correlated:2 practically:2 established:2 required:5 subsections:2 implied:1 far:3 requires:3 having:1 evenly:1 sector:35 results:17 edm:27 illustrated:1 eds:2 squarks:14 edu:1 go:1 gn:1 contributions:16 issues:1 b380:1 concerned:1 helps:2 excluded:10 stable:6 include:1 g2:2 g0:1 ρc:1 electron:30 mixing:16 matrices:5 tri:1 try:1 mχ2:25 eigenvalues:2 smaller:8 zh:3 lightest:43 peccei:1 zz:7 zu:1 zw:4 odd:10 universities:1 index:1 plays:5 chicago:2 cone:1 han:1 experiment:2 poles:1 8πgn:1 led:1 ibid:2 exchange:6 respectively:4 lep:10 ramsey:2 z5:2 z7:2 z3:2 great:1 receive:2 involved:1 larger:2 extreme:1 suggests:1 products:4 chang:2 shaded:2 makes:3 σsi:2 scales:3 apr:1 σsd:6 davoudiasl:1 desy:5 expect:1 addressed:1 m2χ:30 pietroni:1 use:5 feb:1 usa:4 commun:1 remains:2 next:10 calculation:9 assuring:1 usp:1 themselves:1 subsection:2 becomes:3 benchmark:9 freitas:5 iii:1 reconstructed:7 account:7 higgsino:2 tag:1 freedom:1 fulfill:2 decoupled:2 control:1 weaker:3 escapes:1 process:5 high:6 kamiokande:1 assumptions:1 tab:19 tan:10 decaying:2 six:2 lepton:21 varies:1 numerous:1 mj1:3 mj3:3 instead:3 sin:8 obeys:1 exemplify:1 roszkowski:1 physik:1 fits:1 lamoreaux:1 2sβ:1 efficiently:1 realized:4 introduced:4 δmt:1 computations:1 light:43 lines:1 mji:2 mjj:5 allow:13 s1:22 wigner:2 produces:2 insight:1 interpreted:1 produced:15 including:6 mentioned:3 4c2w:1 contaminated:1 regions:3 longitudinal:1 lc:5 decay:53 chosen:2 masses:67 lj:1 li:1 moorhouse:1 degrees:1 choose:1 eur:4 violating:20 gaugino:26 realize:1 university:2 identified:1 sufficiently:8 magnitude:4 mode:5 crossing:1 references:1 constraints:28 doing:1 related:6 decays:12 interplay:1 measure:1 our:22 meth:1 transitions:1 special:1 out:13 matrix:21 m2t:2 m2u:1 sufficed:1 rev:26 m2q:1 m2s:10 gˆ:1 m2d:1 m2e:1 skands:2 ref:17 integrated:3 red:5 berkeley:1 interactions:4 diagonal:2 completely:3 likelihood:1 kribs:1 hubble:1 could:23 m21:2 m22:2 keep:1 ahler:1 b597:1 removing:1 batra:1 precisely:4 vetoed:1 unknown:1 system:1 their:13 intermediate:1 fermions:2 final:15 scans:3 shell:3 big:2 explanation:2 acquire:1 bino:3 schweizer:1 too:3 observed:4 btag:1 gouvˆea:1 providing:1 steep:1 distinguished:1 symmetries:2 sw:8 cohen:1 konstandin:2 curves:2 correspond:1 unlikely:1 need:6 constrained:13 clearly:4 angle:4 min:2 pursued:1 nucleosynthesis:1 able:6 mechanism:7 polarization:7 instance:3 kaplan:2 detector:9 accuracy:5 unless:1 collaboration:3 keung:1 but:27 why:1 subtracted:1 consequences:2 ckm:6 stronger:1 icfa:2 flux:1 laine:5 constrain:4 manteuffel:1 fact:5 selection:7 deviation:1 violation:13 supported:2 chapters:1 purely:1 nowak:1 rough:2 subtracting:1 sh1:2 based:6 baryonic:1 should:9 2bc:1 equilibrium:3 overall:1 beam:6 ones:3 words:1 exchanges:2 years:1 procedures:1 annihilate:1 gray:4 processes:22 shu:1 luminosity:7 reid:1 contain:1 hewett:1 fixed:1 generations:5 requirement:6 statistical:8 aleph:3 national:2 correlations:1 dimensionful:1 b569:1 computer:1 enhanced:6 operated:2 recently:2 acquires:2 phases:33 interacting:9 superk:5 pattern:5 tend:2 eboli:1 state:18 crude:1 invariant:23 neither:3 comparable:3 efficiency:2 zerwas:4 problem:6 observable:2 limits:15 taking:3 rizzo:1 equal:2 mixings:1 etc:1 sβ:10 ll:4 comment:1 strongly:16 relevant:18 co:4 cm:4 cl:2 cf:1 distinguish:1 m12:3 respect:2 cp:61 cw:8 harnik:1 kinematic:9 quir:8 addition:11 discrimination:2 2cβ:1 b582:1 utilizing:1 ellwanger:1 define:3 controlled:1 scalars:8 leptonic:5 zwirner:1 cos:9 scrutiny:1 angles:1 c2:1 present:16 perturbativity:1 value:21 will:22 tait:3 dedes:1 vd:2 vf:2 almost:7 refs:2 thus:13 designs:1 vs:17 ave:2 ostrand:1 radiation:6 cross:54 schelke:1 largest:3 units:1 φi:3 gets:1 φm:28 difficult:9 http:3 cubic:5 effect:2 v0:1 v1:6 v2:5 urich:3 frequently:1 off:4 center:5 nevertheless:8 well:10 thought:1 s21:1 sets:1 selectrons:1 latest:1 heavily:1 moments:1 accurate:1 wagner:12 obtain:5 sources:5 underlying:4 momenta:1 moretti:2 web:1 rapid:1 density:28 acoplanarity:1 ullio:1 add:1 nath:1 combine:3 attractive:1 combing:1 mh0:1 increased:2 behnke:1 finch:1 hisano:1 increases:2 five:1 loss:1 necessary:12 helpful:2 alternatively:2 schmitt:1 s2β:2 martin:1 become:7 works:1 soft:8 lends:1 parity:2 shed:1 because:4 choosing:2 diagonalizing:1 happens:1 lead:14 demonstrates:2 avoid:4 mrenna:1 tadpole:4 does:5 assuming:6 sdss:4 chains:3 demonstrated:1 l3:3 vs2:2 11c:1 reaching:1 winterthurerstrasse:1 although:4 megevand:1 cβ:8 imaginary:1 about:24 actual:1 extension:4 a0:3 universe:2 introduces:1 dependence:2 important:10 bounded:1 reproducing:1 slepton:10 h2:17 h0:1 h1:13 joyce:1 mrad:2 ewbg:1 additional:11 elastic:6 pc:1 2meff:1 wimp:3 sin2:1 quadratic:2 crucially:2 sleptons:7 yrs:1 naturally:3 function:11 overlapping:1 gaussian:1 astro:1 neutral:7 hi:1 hg:2 partially:1 made:4 compute:2 flip:1 below:16 owing:1 limit:13 demonstrate:1 distribution:19 radiatively:1 farrar:1 superpartners:3 inv:2 contribute:2 denote:1 proceeds:2 inc:1 functions:3 compared:6 ingredients:1 boos:1 percent:2 detail:4 virtual:1 illinois:1 other:26 details:2 quantities:1 gunion:1 nelson:1 johnson:1 searched:1 variation:1 additionally:1 searches:7 coupling:19 baker:1 rule:2 bb:8 4j:3 xenon:4 indirectly:1 richard:1 |
0705.0432.txt |@word chebyshev:1 since:9 partial:2 consider:2 truncated:1 results:12 gf:3 scalar:1 proposition:7 generalize:1 computation:1 go:2 follow:3 gc:3 gh:1 compact:7 simon:3 const:3 tr:14 tn:21 uniqueness:1 tj:1 tk:2 under:2 uchebn:1 zaved:1 norm:5 alexei:11 belonging:3 izv:1 orthogonal:1 very:2 nonselfadjoint:1 springer:1 dokl:1 corollary:4 refine:1 every:10 entries:1 matrices:26 trudy:1 dim:3 trm:1 notes:2 schatten:7 trf:4 large:2 evy:1 indices:2 eigenvalues:2 anal:3 mn:4 neighborhood:2 ga:1 measurable:1 riesz:1 l2n:5 approximation:7 consists:1 zero:1 gn:7 canonical:15 even:2 what:1 appear:2 invertible:10 diag:1 section:20 uniform:5 henceforth:1 poles:1 subspaces:1 sup:8 suppose:20 increasing:3 contrast:1 y2:3 κn:2 κi:2 respectively:5 mula:1 refinement:1 inverse:1 zygmund:6 berkeley:1 xβ:2 xγ:2 xα:2 respect:1 nachr:1 obtained:5 instituto:1 institute:1 study:1 vectors:1 allows:1 products:3 usually:1 fourier:3 sci:1 york:2 tκ1:1 boundedness:1 via:1 useful:1 projection:1 discontinuous:2 vii:2 spz:1 hardy:1 apply:1 estimate:2 unit:3 asymptotic:27 prove:5 positive:8 contains:2 hilbert:2 definiteness:1 anwendungen:1 call:1 therefore:1 type:1 more:4 nauka:1 multiplying:1 said:5 gohberg:4 operators:22 berlin:2 particular:3 known:3 hold:2 iii:1 logarithm:3 account:1 valued:2 gℓ:3 integrating:1 work:1 det:20 preliminaries:1 spk:3 ms:3 following:11 arrive:5 example:3 proof:31 beautiful:1 f1:2 f2:2 weaker:1 samko:4 stated:1 organized:1 prace:1 lema:1 high:1 contradicts:1 assumptions:2 numbers:2 spn:1 ist:1 conversely:1 guarantee:1 information:2 regularization:1 end:1 lemma:22 verify:1 holds:10 whence:1 write:2 mn0:1 instead:1 verlag:4 product:1 de:1 description:1 algebra:13 may:2 rm:2 earlier:1 horn:1 respective:1 collection:1 fa:3 membership:1 plane:2 representations:1 ssr:1 arch:1 constants:1 natural:2 whenever:2 generalizations:1 sp:15 hypotheses:3 sh:1 so:2 sn:21 definitions:3 ghn:4 order:13 approx:1 developed:1 over:1 spectral:1 satisfied:1 symbols:11 wiener:26 paper:3 banach:6 statements:2 satisfies:2 still:1 okounkov:1 its:3 superior:1 monotonicity:1 chosen:2 forms:1 parts:3 choose:1 lp:3 jacobi:1 mail:1 main:5 finer:2 inductively:1 sϕ:1 number:8 vyssh:1 effects:1 they:2 oxford:1 singularity:1 now:1 yu:15 smoothness:5 submultiplicativity:1 equality:1 university:1 identified:1 sufficiently:1 theory:5 inequality:3 l2:1 each:4 traces:3 side:1 referred:1 weighted:4 ei:1 formulate:1 series:2 ef:2 idea:2 elementary:1 books:1 remove:1 combining:8 our:3 mat:2 shown:1 jackson:2 matrix:14 space:7 borrowed:1 singular:3 denotes:1 contained:5 rational:2 max:33 denoted:2 formula:1 ri:2 math:11 shows:1 linear:5 contain:1 departamento:1 standard:7 admits:11 hankel:5 completely:1 california:1 factored:1 put:5 subalgebras:1 akademie:1 additional:1 definition:3 applications:3 phrases:1 nonnegative:1 place:1 hence:8 βm:1 view:5 onto:1 first:1 separable:1 xk:3 karlovich:15 already:1 xn:4 pa:1 powerful:1 primary:1 rank:1 ℓk:4 improvements:1 another:1 says:1 precisely:1 open:3 given:4 embeddings:1 similarly:3 introduction:3 πi:1 least:1 their:6 appl:2 fn:10 statement:3 siam:1 too:1 moscow:1 continuous:13 part:25 norms:2 branches:1 x1:1 holder:1 than:4 coefficients:2 gabor:1 was:6 computations:2 subsequence:3 classes:6 contrary:1 historical:1 were:1 sai:5 hagen:2 banded:1 correction:2 lisbon:1 spectrum:1 say:1 elementwise:1 factorizations:6 conjugate:2 any:5 sk:11 depending:5 lim:13 self:1 note:1 k2:6 ideal:1 k0:4 generalized:20 analogy:3 new:4 analogs:1 rovisco:1 formulas:20 akad:1 fct:1 trace:8 birkh:2 most:1 involving:2 remarks:1 pais:1 class:23 inequalities:1 classification:1 give:1 consequences:1 counted:1 proceedings:1 kp:3 refining:1 effect:1 sf:2 fact:1 yakubov:2 show:5 supported:1 spaces:22 trivial:1 based:1 aω:1 basel:2 assertion:1 analytic:6 only:8 aϕ:1 a2n:3 circle:3 hopf:20 continuity:3 above:4 get:11 dekker:1 fractional:1 da:2 aα:2 cannot:1 words:1 dy:6 du:2 secondary:1 closure:2 determinants:17 widom:8 approach:5 arxiv:3 factorization:25 razmadze:1 nauk:1 characteristic:1 ecnico:1 krein:7 qn:40 satisfy:3 moduli:1 set:11 exists:15 borodin:1 module:1 observed:2 edition:1 see:33 result:8 polish:1 bari:17 terms:2 best:6 subject:1 instance:1 satisfying:5 hartwig:2 λkj:7 importance:1 enough:1 determined:1 closed:4 probably:1 boundary:1 αj:2 conditions:3 verification:1 notice:4 infinite:1 recently:2 einθ:1 weak:1 attention:1 deliver:1 hypothesis:2 key:1 group:1 amer:2 ja:1 improve:1 shubin:1 many:1 taking:1 according:1 fulfilled:6 fiz:1 hψ:1 hω:25 matema:1 arbitrarily:1 qℓ:4 relevant:1 cn:17 cm:14 point:1 simple:3 address:1 2nd:1 represented:2 grants:1 simply:2 polynomial:3 constant:15 cp:4 hω1:1 hω2:1 pt:1 basis:1 union:1 equations:1 due:2 been:1 springerverlag:1 belongs:3 asymptotics:6 goes:2 pj:2 algebras:15 pn:35 abstract:2 define:9 sfrh:1 determinant:4 corresponding:2 finishes:2 truncations:1 sufficient:2 propositions:1 subspace:1 matem:1 observe:1 imation:1 c2:2 c1:10 general:6 present:2 case:6 p0:3 replaces:1 ez:1 eiy:1 geronimo:1 will:6 invertibility:3 replaced:8 compactness:2 behavior:5 situation:1 property:1 studied:1 portugal:2 almost:4 von:7 thus:2 tests:1 marcel:1 iv:2 ii:12 regularity:1 im:6 c0:2 containing:2 author:3 belong:15 admit:2 same:2 clearly:1 complex:4 arguments:1 survey:1 finite:7 higher:11 independent:1 extended:1 numerical:1 nj:1 hand:5 auser:2 differential:1 identity:1 silbermann:15 older:21 min:1 well:4 analysis:3 obviously:1 without:1 sets:2 latter:1 left:12 uniquely:1 just:1 less:1 resp:3 ottcher:15 obtain:2 spitkovsky:1 immediately:1 λk:3 λj:3 λi:3 speed:1 lebesgue:1 decomposing:7 conclude:1 seems:1 valid:1 easy:3 theorem:57 det1:12 real:2 seminorms:1 advances:3 topology:1 tica:1 press:2 using:1 ams:2 necessary:2 bpd:1 semi:1 follows:21 modulus:3 collect:1 cx:1 yields:1 either:3 integrals:1 arbitrary:1 right:14 neumann:7 classical:1 sequence:8 absolutely:1 some:7 back:3 mech:1 regularized:5 deduce:1 b1:1 moreover:2 proper:1 proofs:1 detm:4 nonzero:3 scale:4 feder:1 eiθ:4 providence:2 decomposition:4 roch:2 proc:1 sided:1 power:1 bm:1 equivalent:2 bo:1 bk:1 step:1 although:2 properties:3 integers:4 about:5 algebraic:2 theorems:16 dependence:1 o:37 angeles:1 grenander:2 l1n:1 insufficient:2 other:4 block:9 soc:2 convergent:2 pergamon:1 into:1 ikθ:1 integral:4 functional:1 pair:1 appropriate:1 because:4 references:1 operator:16 nowadays:1 methods:1 log:37 utl:1 refinements:1 there:28 philadelphia:1 noticed:1 los:1 cauchy:1 way:1 m1:2 sections:8 toeplitz:37 function:18 form:7 szeg:8 but:1 repeated:1 properly:1 hn:45 larger:1 russian:4 laurent:2 true:1 aqj:1 infn:1 applying:1 calls:1 consist:1 versions:1 2πi:3 multiplicity:2 smooth:1 up:1 us:4 limit:5 embedded:1 continuously:1 called:5 interval:1 proved:13 defined:5 certain:1 ak:2 aj:2 denote:4 transl:2 ap:1 chap:6 ar:2 exist:9 dλ:12 dθ:3 av:1 inf:2 check:1 inc:1 functions:21 nk:5 no:3 unital:1 guseinov:1 interested:1 mathematics:1 nkj:9 draw:1 elements:1 exp:4 remainders:1 symbol:3 problems:1 polynomials:4 generated:3 important:1 bounded:13 variable:1 fisher:2 implies:3 auxiliary:1 pocti:1 assume:1 dτ:1 factors:2 weights:2 n0:22 n1:8 requires:2 |
0705.0433.txt |@word externally:1 consider:3 marcaide:1 rev:1 magnetic:1 lack:1 dynamic:2 results:4 although:1 eds:1 broader:1 transversally:2 disk:2 causes:1 layers:4 auf:1 send:1 ıa:1 γj:4 finally:1 elliptic:6 under:3 zensus:3 indicating:1 summarizes:1 mpg:1 very:3 frequencies:7 implicitly:1 wave:6 summarized:1 resonant:3 kiloparsec:2 condition:1 presented:2 turns:1 notes:1 solution:2 occurs:1 large:2 solved:1 relation:1 c02:1 c03:1 programme:1 upper:1 strongly:1 work:2 slower:1 oscillation:1 estimates:2 japanese:1 pasj:1 cosh:1 approximation:1 second:1 birkinshaw:2 further:2 estimated:1 theory:1 even:1 primer:1 wavenumbers:1 stands:1 section:4 expressed:1 thicker:1 axial:2 3c:2 new:1 direcci:1 method:1 thin:1 body:25 led:1 respectively:5 here:1 understanding:2 ranges:1 growing:3 explore:1 objects:1 separation:1 directions:1 accretion:2 along:1 coupling:1 equations:1 hummel:4 obtained:10 convert:1 incoming:1 dividing:1 larger:1 adopt:2 suggests:1 periodic:1 resulting:2 studies:1 plotted:1 diameter:1 projection:1 scales:4 requiring:1 krichbaum:6 ugel:1 apj:4 tdr:4 apply:2 witzel:2 planck:1 use:1 cosmological:1 usa:1 remains:1 aya:1 wehrle:2 scope:1 postdoctoral:2 corrected:1 emission:3 unstable:1 varying:1 hole:4 must:3 ρa:1 kraus:1 account:1 integrating:1 science:1 equation:5 ρj:1 mj:1 reproduce:2 lorentz:4 values:6 dem:1 mr:1 following:4 example:1 compare:1 indicated:2 process:2 relativistic:4 vw:17 disruption:1 high:2 indicates:1 assumptions:1 caccianiga:2 axis:4 respective:3 monitoring:1 provide:1 discussion:2 feature:1 s5:2 regions:1 maps:1 low:1 ordinary:1 absolute:1 explains:1 sin:1 encia:1 oscillatory:2 mas:32 sommerfeld:1 description:3 may:2 max:1 reconciled:1 after:1 derived:5 plane:1 cylindric:2 waves:1 date:2 horizontal:2 revealed:2 grow:2 realized:3 short:3 imply:1 lines:5 yielding:2 ghz:11 generic:1 ones:1 order:8 wavelengths:27 interpretation:1 lighter:1 produces:1 developed:1 pointed:1 stability:5 paper:1 including:1 still:1 its:5 galaxy:1 superior:1 outer:5 manuscript:1 la:1 redshift:2 coordinates:1 better:1 parts:2 fig:4 mail:1 main:2 defining:1 image:1 shear:10 versus:1 them:1 helical:19 combination:3 processes:1 framework:1 effects:1 rotation:1 discuss:1 assess:1 february:1 several:1 identified:5 magnitude:3 bonn:2 radial:5 instability:11 domain:1 differential:1 colder:2 energy:1 growths:1 frequency:6 measure:1 substantially:1 our:4 out:2 vsop:4 shown:3 driving:5 space:3 crucial:2 particles:1 fellowship:1 investigation:1 vlbi:4 rm:1 quirrenbach:1 vlba:1 rj:37 shows:1 linear:9 galaxies:5 perucho:11 possibility:2 hankel:1 completely:1 base:1 formation:1 counterparts:1 institut:1 estimate:3 companion:1 shortest:1 unwin:1 could:1 transition:1 phy:1 feasible:1 motion:1 length:10 produce:2 speeds:3 first:9 maraschi:1 major:1 already:1 symmetry:2 miralles:1 powerful:1 number:3 minimum:12 smaller:1 specifically:1 spanish:1 array:1 angular:1 size:1 given:5 perturbation:8 sheet:5 jet:56 their:2 introduction:1 di2:1 indicate:7 assumption:1 observations:8 guirado:1 structures:5 frame:1 gives:3 explanation:1 part:1 too:4 focusing:1 than:6 distance:1 observatory:2 double:1 enabled:2 kink:1 submitted:1 ranging:1 project:1 determined:1 contrary:1 stratified:6 amplitude:2 were:1 lowest:1 aller:2 dynamically:1 curves:2 correspond:2 ant:1 seen:1 any:2 misaligned:1 angle:2 zero:1 depending:3 studying:1 latter:1 responsible:3 note:1 sound:2 internal:2 towards:1 extending:1 germany:1 letter:1 acknowledgements:1 inserted:1 mach:1 deviations:1 doi:1 radiating:1 calculated:2 kh:5 implications:1 km:1 ks:1 proceedings:1 points:1 exp:1 kz:2 physics:4 wavenumber:4 quantity:1 show:4 supported:2 converge:1 ki:3 radii:2 radio:6 solutions:14 thickness:1 valenciana:1 find:2 fifth:5 ground:1 longer:2 ratio:3 parameters:8 explain:1 controls:1 only:1 black:5 factor:6 emitting:1 helmholtz:3 equilibrium:1 dominant:1 di:1 de:3 likely:1 beam:1 cannot:3 longest:5 words:1 steepness:1 produced:1 evolution:1 precession:2 transversal:4 continuum:1 conditions:3 arxiv:1 yield:1 occupy:1 approaching:1 set:1 achieved:1 espa:1 national:1 up:2 observed:18 see:1 individual:2 radius:5 close:3 luminous:1 extragalactic:2 outside:2 smallest:1 between:4 boundary:2 approach:3 recently:1 reproduced:2 vertical:3 λb1:2 combining:1 however:1 key:1 jets:10 longitudinal:1 configuration:1 originates:1 suggested:1 received:1 cos:1 folding:1 outflows:2 taking:2 conclusions:1 attributed:1 cylindrical:1 context:1 requests:1 comes:1 among:1 relevant:1 cm:1 point:1 deviating:1 corresponds:1 active:2 grants:1 cs:3 table:2 described:2 puts:1 due:2 been:2 mart:3 int:1 much:3 basic:3 expected:1 ph:2 cohen:1 θj:4 direction:1 corresponding:4 both:1 λint:6 bulk:1 determination:1 external:1 derivative:1 general:1 those:2 case:10 exception:1 p1:1 exponential:1 developing:2 estimations:1 mack:1 profiles:1 will:1 while:1 error:1 profiled:1 hardee:6 misalignment:1 layer:9 simulations:1 surface:23 apjl:1 ambient:3 discarded:1 vz:2 alone:2 binary:1 different:5 baseline:3 lengths:10 same:1 shorter:7 shifts:1 antisymmetry:1 complex:2 units:3 physical:8 grows:2 higher:1 used:1 infinity:2 kelvin:3 numerical:1 flows:1 hand:1 driven:2 viewing:1 lute:1 opportunity:1 expand:1 lower:4 modes:30 scenario:1 band:3 nola:1 analysis:5 without:1 solve:2 sets:1 arising:1 left:1 distances:1 less:1 being:1 quasar:2 rest:3 torus:1 identify:1 integer:1 alternative:2 speed:6 previous:1 density:6 source:1 prominent:1 excited:2 match:1 real:2 radioastronom:1 increased:1 represents:1 milliarcsecond:1 possible:2 period:3 increases:1 denser:1 press:1 using:2 accepted:1 radioastronomie:1 sheared:2 imposed:1 spine:1 adiabatic:1 holes:1 specific:1 vortex:5 hosts:1 become:1 reduced:1 right:1 plausible:1 b5:1 b6:3 growth:19 b1:1 b2:1 moreover:1 oscillations:3 transversely:1 provided:1 scale:1 dense:1 broad:2 assuming:3 yields:3 bessel:1 mode:29 power:1 reaching:1 sixth:5 hanasz:1 lu:3 pressure:4 step:1 lobanov:19 found:1 plots:1 imaginary:1 properties:7 comparison:1 central:1 would:2 most:4 tracing:1 range:2 ensure:1 ghisellini:1 introduced:1 slightly:3 tavecchio:2 presence:3 into:3 within:1 sol:1 three:2 down:1 appropriate:2 references:1 ridge:1 muxlow:1 intrinsic:6 support:1 long:8 width:5 appl:2 inner:1 astrophysics:1 yrs:3 was:1 interferometry:1 function:1 vicente:1 medium:3 form:2 but:2 astro:2 mnras:2 line:2 highest:1 true:1 λobs:2 whether:1 prevents:1 inside:3 ωt:1 us:1 ur:1 mpifr:1 below:1 limit:1 ruling:1 problem:4 panels:2 similar:4 emit:1 clarke:1 detailed:2 later:1 hotter:1 sight:1 defined:1 flow:11 abstract:1 describe:2 evidence:1 exist:1 periods:2 wavelength:10 parsec:1 defines:1 functions:2 compared:3 dotted:1 no:4 dashed:3 whereas:5 excel:1 field:1 spatial:1 generalitat:1 zhou:3 ultimately:1 a0:2 generated:1 important:1 nucleus:1 peak:1 velocity:2 cooper:1 astronomy:2 structure:18 offprint:1 implies:1 faster:3 tested:1 assume:1 nicolson:1 resolving:2 mass:4 fact:1 time:1 nuclei:1 requires:2 |
0705.0434.txt |@word represent:4 monte:1 consider:1 magnetic:12 lack:3 activated:2 results:2 bhatt:1 integration:1 extrapolates:1 controversial:1 follow:2 expressions:1 chiorescu:1 demagnetization:1 poorly:1 phonon:1 inverse:3 young:1 quasi:1 critical:6 petersburg:1 excluded:1 marks:1 tg:15 cm3:1 dramatically:1 indicating:2 divergent:1 shortranged:1 case:1 random:3 jensen:1 very:3 electron:1 bottleneck:1 states:1 unlike:1 hamiltonian:1 anisotropy:1 t0:11 large:3 reich:2 small:4 barbara:4 dis:1 glassy:1 occurrence:1 direct:1 past:1 zero:11 displays:2 dynamics:2 theories:1 carlo:1 substitute:1 canonical:1 spectral:1 tkachuk:2 nonlinear:1 appear:1 selected:1 near:1 uniform:1 above:7 method:1 contrast:1 body:1 quenched:1 intas:1 ranged:2 respectively:3 never:1 residual:1 here:1 ratio:1 along:2 strong:3 ellman:1 χnl:5 box:1 progressively:1 exemplified:1 institute:2 shift:1 study:1 studied:1 allows:1 noncritical:1 suggests:1 resulting:1 studies:2 plotted:3 br:1 scales:1 eeff:1 maximizing:1 marked:1 belanger:1 plot:2 conventional:5 eye:1 remains:1 positive:2 contains:1 negative:1 france:1 approach:2 taken:1 panel:12 type:1 theoretical:3 possible:1 more:1 determinations:1 giraud:1 clearly:1 becomes:3 glass:11 reversible:5 excellent:3 iii:1 logarithm:1 sample:4 springer:1 science:2 des:1 mk:4 ferro:1 mt:1 values:4 temperatures:5 following:1 making:1 hansen:1 kycia:2 example:1 cryostat:1 ions:3 f4:19 indicated:1 predict:1 thermally:2 high:4 indicates:1 numbers:1 council:1 exclude:1 unphysical:2 sharp:2 axis:6 swedish:1 huge:1 rather:4 ordinary:1 parameter:1 mat:2 may:7 samples:2 derived:3 diagram:1 fits:9 data:7 parallel:1 branches:1 dynamical:2 effective:2 vavilov:1 st:1 switch:1 cannot:2 so:2 ho3:3 correlation:1 order:9 se:2 help:1 enter:1 indeed:2 over:1 dy:1 confirm:1 ferromagnets:1 thermal:2 experiments:2 signs:1 y1:8 y0:11 y3:1 lihox:8 avenue:1 its:1 blocked:1 onsson:1 derive:1 group:1 thank:1 fit:1 acknowledge:2 energies:1 lk:1 exhibits:2 absence:7 fig:17 main:2 might:1 non:12 good:1 affected:1 scaling:1 effects:1 they:4 tetragonal:1 now:1 yu:1 nor:3 spinglass:1 susceptibility:12 february:1 electro:1 fully:3 university:2 doped:2 micro:4 each:1 found:1 higher:1 side:1 glasses:2 em:7 financial:1 another:2 series:1 energy:8 used:1 static:2 quantum:10 our:3 transitions:4 shown:6 coppersmith:1 uppsala:2 rounding:1 furthermore:1 since:1 rev:13 research:1 stasiak:1 thoma:1 suggesting:4 i41:1 evaluation:1 occurs:1 shows:2 earlier:1 linear:25 interactions:11 divergence:3 diagonal:1 possibility:2 ascending:1 clarify:1 estimate:1 heat:1 compositions:1 log:19 malozemoff:1 interaction:1 transition:18 imry:1 length:1 harris:1 weaver:1 assumed:1 barriers:1 first:1 laflorencie:1 initial:2 smaller:3 wernsdorfer:4 reached:1 thick:1 quality:3 size:1 4x10:1 temperature:14 top:8 system:11 their:3 confirming:1 assumption:2 rates:1 too:1 realization:1 gives:3 centered:1 continuous:1 accurately:2 transverse:21 optical:1 authors:1 than:2 character:1 albeit:1 rate:2 probe:1 sweden:2 determined:5 kth:1 were:7 dutta:1 russia:2 lowest:1 lines:5 curves:5 crossover:1 randomly:1 mater:1 unlikely:1 sen:1 seen:4 concentration:3 confirms:1 gomez:1 any:6 ray:1 depict:1 note:3 metastable:1 without:7 online:4 finding:1 hyperfine:5 even:2 cnrs:1 unless:2 investigations:2 who:1 kao:1 insets:1 most:1 but:3 letter:1 phase:17 intrinsic:1 ujf:1 kb:5 mcmorrow:1 surprising:1 considered:4 average:1 saturate:1 questioned:1 mailly:2 curie:1 points:1 exp:8 physics:2 fact:1 slope:2 thomas:1 particularly:2 show:4 sceptical:1 supported:1 superimposed:1 rough:1 tend:1 based:1 distributed:1 enough:1 should:7 only:5 explicitly:1 factor:1 equilibrium:2 do:1 dominant:1 dependent:1 de:2 uniaxial:1 define:1 ones:1 longest:2 reversal:1 despite:1 dt:7 averaged:1 shaping:1 baeriswyl:1 portion:1 evolution:1 fields:11 arxiv:1 emu:3 investigate:2 predicted:2 peak:6 view:1 reference:1 edited:2 up:1 observed:1 see:6 existence:1 close:1 phases:1 exponent:2 nuclear:1 diluted:1 diverge:3 state:2 correctly:1 between:5 neither:2 paramagnetic:1 µb:1 available:1 comparable:1 terms:2 nature:2 tmax:1 weak:1 however:4 analyzer:1 analyzes:1 wu:2 ymax:1 analyzed:2 longitudinal:1 ferromagnet:2 suppressed:3 schechter:3 both:7 improved:1 limits:1 region:1 according:3 attributed:1 present:2 dated:1 expression:3 experimental:2 magn:2 relevant:1 cm:2 conclude:1 simple:4 royal:1 corresponds:2 chakrabarti:1 cx:1 simply:1 maximize:1 doping:1 platinum:1 mathieu:1 stamp:1 due:1 been:4 validating:1 difference:1 much:3 brice:1 expected:1 sachdev:1 crucibles:1 czochralski:1 obtained:3 corresponding:3 5k:1 linearity:1 determination:1 spin:13 those:1 applied:4 johansson:1 exponential:3 pacs:1 straight:2 expanded:1 value:6 rectangular:1 while:3 behavior:6 situation:1 tunneling:1 couplings:1 loop:1 fortin:1 larger:2 almost:1 squid:5 thus:3 ii:1 vr:1 vs:4 cond:2 contract:1 technology:1 seem:1 grown:1 different:7 erroneously:1 aeppli:7 generic:1 suggest:1 lett:10 same:5 intersecting:1 holmium:1 largest:2 modification:1 finite:6 european:1 magnetometer:4 independent:4 investigated:1 kelvin:7 effect:1 hysteresis:2 strength:1 appreciable:1 mattsson:1 totally:1 recent:3 insure:1 lower:5 off:2 dotted:2 well:2 roughly:1 analysis:5 contact:1 model:3 dimension:1 left:5 magnetization:12 rosenbaum:6 proposed:1 less:1 being:1 accurate:1 vanishes:1 shape:1 ch:1 uller:1 yet:1 mmax:1 cut:1 extracted:1 seems:1 except:2 lattice:1 developments:1 easy:3 identical:1 broholm:1 questionable:1 represents:1 showing:2 term:1 sweep:2 department:2 increases:1 descending:1 press:1 using:2 grenoble:1 color:4 insert:1 martyrs:1 snider:1 lost:1 shaped:1 susceptibilities:3 specific:1 eel:1 yields:2 fridman:1 disorder:1 right:5 classical:2 scale:4 recently:1 dimensions:1 µm3:1 bottom:2 broad:1 measurements:5 recorded:1 extensively:1 does:3 prog:1 gingras:1 demonstrated:1 hysteretic:1 particular:1 performed:6 equivalent:1 agreement:1 expansion:1 although:2 inherent:1 plots:3 degiorgi:1 guides:1 properties:3 simpler:1 ferromagnetic:2 oe:6 dependence:7 range:1 greatly:1 concentrations:2 slightly:4 ising:5 cambridge:1 presence:5 previously:1 within:1 sharpness:1 functional:1 down:2 lejay:1 because:1 frames:1 next:1 significantly:1 institut:1 additional:1 measured:6 support:1 there:1 long:3 appl:1 low:7 way:1 5x10:3 slopes:1 was:7 function:2 alloys:1 form:5 archetypal:1 jun:1 ht:9 cedex:1 ho:6 line:2 highest:1 true:2 characteristic:1 maximum:5 us:1 crystal:3 below:1 parthasarathy:1 fluctuations:2 distribution:1 panels:5 similar:2 called:1 regimes:1 detailed:1 associated:1 25k:1 describe:1 influence:1 textbook:1 loops:1 single:4 exist:1 simulations:1 crystals:9 work:1 regime:1 nn:1 amounts:1 when:2 detail:1 dlog:2 hasselbach:1 field:20 prism:1 yang:1 dipolar:8 nr:1 theor:1 conclusion:2 poor:1 models:1 rønnow:1 chem:1 allowing:2 suppression:3 structure:2 implies:2 lead:1 space:1 curve:2 microelectronics:1 inset:3 text:1 time:1 ghosh:2 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.