text
stringlengths 0
190k
|
|---|
0705.3030.txt |@word unified:2 concepts:1 skip:1 over:1 labels:1 obtain:1 rest:1 paper:1 souza:1 differentiation:1 expressions:1 contributions:1 find:1 web:2 sixteen:1 tu:2 assertion:1 blog:1 leibnitz:1 bruhn:4 nor:1 factor:1 derivative:2 hidden:1 he:2 do:1 his:6 notation:1 rules:1 de:3 possible:1 every:1 using:2 now:1 matrices:1 condition:1 mod:1 represents:1 february:1 necessary:1 follows:1 university:1 arxiv:1 applicable:1 ignore:1 differential:2 yields:1 each:2 indices:2 fixed:1 page:1 darmstadt:4 www:3 because:1 directly:1 generally:1 some:1 direct:2 mentioned:1 second:2 sec:3 result:1 concludes:1 proofs:2 eq:5 what:1 appear:1 tetrad:3 giving:1 review:1 contained:1 decomposition:1 incompatibility:1 new:3 neither:1 conditions:1 correct:3 math:3 available:1 ece:1 full:2 terms:2 theory:3 arima:1 applies:1 use:2 jr:1 however:1 proportionality:2 wp:1 article:1 equations:2 tensors:1 both:1 remark:1 learn:1 geometry:2 starts:1 prove:1 meaning:1 called:1 fulfilled:1 int:1 consequence:1 pdf:2 definition:2 com:1 first:2 evans:23 ignored:1 simple:1 nonsense:1 logical:1 qµa:4 set:1 references:1 another:1 given:1 additional:1 lemma:14 covariant:4 uft:1 there:2 due:2 start:1 therefore:2 statement:1 basic:1 ph:1 define:1 himself:1 formally:1 quantity:1 tool:1 eqn:1 problem:1 part:1 copy:1 postulate:4 quotation:6 avoiding:1 equation:2 see:1 us:1 error:2 gerhard:1 gives:1 margin:1 agree:1 proof:9 rodrigues:1 give:1 cartan:2 abstract:1 thus:1 dubious:1 general:1 tetrads:1 numbers:1 technology:1 action:2 defines:1 dµ:18 end:3 nn:1 no:2 mathematik:2 qλ:7 geometrization:1 when:1 invalid:2 note:2 field:3 html:1 instead:1 text:1 conclusion:1 calculus:1 http:3 may:1 felt:1 shown:1 variation:1 hand:1 convention:2 wrong:2 documents:1 germany:1 pair:1 erroneously:1 tensor:1 ambiguous:1 suitable:1 undefined:2 author:1 rule:1 so:2 definitions:1 quotations:1 physics:1 left:1
|
0705.3031.txt |@word limited:1 results:2 extensively:1 roy:1 edu:1 primes:1 certainly:1 γx:1 deterministic:2 ıa:1 program:4 th:3 alternating:5 far:1 implicitly:1 springer:1 figs:1 matrices:1 riemann:19 hamiltonian:1 did:1 adjust:2 eigenvalues:4 barbara:1 smaller:1 periodicity:1 prediction:1 sign:5 approximation:1 zero:2 what:1 giving:1 sum:1 supplied:1 new:1 method:1 deemed:1 led:1 respectively:1 never:1 component:6 here:6 reported:2 address:1 slater:3 along:1 sine:5 box:1 search:1 suitably:1 institute:1 involved:1 study:1 trial:1 although:1 modifying:1 scaled:1 would:6 distinct:2 contains:1 negative:2 comparing:1 magnification:2 criteria:1 themselves:1 achieving:1 minor:1 more:1 acceptable:2 odinger:4 particular:1 trott:1 none:1 equation:5 work:1 oscillator:1 mt:1 values:10 achieve:1 following:3 indicated:1 give:1 suggestions:1 sample:3 minimum:2 numbers:1 counting:1 axis:1 provide:2 s2:4 regions:1 how:2 nontrivial:1 criterion:2 verlag:1 parameter:4 sin:1 express:1 tried:1 may:1 after:1 derived:1 fits:8 minimizes:1 law:2 nonsmooth:2 third:1 sq:1 lines:1 yielding:1 subdomains:1 sk:2 rather:2 so:5 allow:1 prefactor:1 over:1 mainly:1 course:3 through:1 still:1 supplemented:1 fit:9 located:1 ln:3 fractal:20 solving:2 vicinity:1 better:1 fig:11 overcome:1 non:1 greater:1 thereby:1 secondarily:1 investigated:1 primary:2 scaling:3 arnoldi:1 now:1 structural:1 eigenvalue:1 february:1 university:1 each:1 found:2 domain:2 square:1 series:8 reduce:1 used:2 inverted:1 frequency:2 quantum:1 our:6 eq:3 rev:2 research:1 increase:1 formula:2 squares:2 math:3 possibility:1 quite:1 inputting:1 base:2 california:1 york:1 enhance:1 estimate:1 pairs:2 determining:1 could:1 first:7 number:2 improving:3 improvements:5 done:1 directly:1 electronic:1 xw:1 size:2 introduction:1 least:3 zeros:21 gives:1 took:1 part:4 x2:1 than:4 gotten:1 discernment:1 were:3 function:4 reproduces:2 argument:1 curves:1 randomly:4 say:1 substantial:2 seem:2 seek:1 any:1 lie:1 conjecturally:1 able:1 potential:15 take:2 finding:1 added:1 measures:2 most:2 preliminary:1 pair:1 measured:1 polya:1 adopt:1 points:7 physics:1 came:1 quantity:1 show:1 reductions:1 lewis:6 random:1 kitp:2 minimizing:1 keywords:1 parameters:4 written:1 only:3 factor:1 attained:2 employed:4 rectangle:3 do:1 dominant:1 df:1 displayed:1 de:1 overall:2 yielded:1 despite:1 secondary:2 regarding:1 arxiv:3 acknowledgments:1 london:1 fixed:1 sensitivity:1 tended:1 computer:1 sec:1 best:1 techniques:1 outside:1 various:2 αk:6 terms:1 extend:1 adding:1 wu:10 concentrated:2 improved:2 region:1 equal:1 berry:6 context:1 adjusted:1 affine:2 point:2 character:1 ca:1 cf:3 sampling:2 semiclassical:1 simply:1 consideration:1 zeta:1 gratitude:1 consuming:1 basis:1 addition:1 three:4 been:1 cosine:1 interest:4 basic:1 indicators:1 ph:4 obtained:5 corresponding:1 overwhelmingly:1 observe:1 weierstrass:2 those:3 case:2 unlike:1 pacs:2 value:2 rectangular:1 employ:2 while:3 them:1 same:3 parts:2 quant:1 largest:1 dated:1 independent:2 2πe2:1 companion:1 v0:5 arrived:1 expand:1 schr:4 possibly:1 zyl:2 modeled:1 well:2 analysis:2 patterns:1 without:1 does:1 model:3 dimension:3 they:1 just:1 less:2 when:3 mandelbrot:2 obtain:1 immediately:1 paul:1 sampled:3 candidate:1 regarded:1 had:2 improvement:1 add:1 valid:1 input:1 extensive:1 remaining:1 real:1 fluctuating:1 magnify:1 evaluate:1 inversion:1 harmonic:1 objective:1 know:1 using:3 dimensional:5 necessary:1 like:1 specific:1 continue:1 sparse:1 served:1 stationary:1 some:2 extended:1 dimensions:1 exceeding:1 ucsb:1 proc:1 problems:1 sprung:10 santa:1 analyses:6 hilbert:1 hutchinson:2 range:2 plus:3 introduced:1 other:1 cutoff:1 soc:1 computational:2 into:1 within:2 integral:1 garc:1 abel:1 reducing:1 van:2 few:1 canad:2 support:1 there:1 specifically:1 accordingly:1 analyze:1 was:5 lowest:1 form:4 regard:1 denoting:1 but:3 convergence:1 highest:1 2πe:1 smooth:8 us:3 theoretical:1 investigative:1 similar:1 associated:1 certain:1 abstract:1 denote:1 again:2 compared:1 kavli:1 no:1 mathematica:2 percent:1 detail:1 application:1 setting:1 conclusion:1 truncate:1 models:1 uniformly:1 independently:1 interval:2 inset:1 fitted:1 time:4 having:1
|
0705.3032.txt |@word ωbe:1 sci:1 consider:2 remarkable:1 magnetic:11 results:4 integration:2 gg:1 softer:1 broader:1 consists:2 remarkably:4 l13:1 contributions:2 issues:1 particles:2 bremsstrahlung:1 depend:1 calculate:1 tv:1 discard:1 tr:1 charge:1 compensate:1 petersburg:2 stochastic:3 worth:1 applied:1 supported:1 very:4 frequencies:5 rise:1 account:3 wave:11 electron:3 resonant:5 difference:1 condition:3 entire:2 level:1 anisotropy:2 shock:6 applicable:2 large:3 vector:7 small:3 application:1 smaller:1 force:2 deutsch:2 trend:1 sin2:2 θc2:2 zero:4 displays:3 substituting:1 further:1 recalculate:1 langmuir:22 linear:1 spectral:10 index:1 nonlinear:1 unavailable:1 sum:1 uniform:4 cell:1 version:1 above:2 3c:2 new:1 falling:1 consisting:1 contrast:2 edited:1 full:4 whose:1 promising:1 component:3 here:5 perpendicular:1 mnras:1 objects:2 accompanying:1 excess:2 directions:2 shevchenko:1 along:10 strong:1 appears:1 change:3 obtained:2 hardee:1 parameters:2 technical:1 vectors:1 allows:1 experience:1 adopt:1 drl:17 microquasars:1 fourier:1 studies:2 polytechnical:1 composed:2 via:1 spatially:4 figure:4 scales:1 marked:1 highly:4 apj:1 inequality:1 decrease:1 cies:1 apply:1 total:2 use:2 asymptotic:1 distinct:4 contains:1 tail:1 mangeney:1 few:1 explicitly:1 therefore:3 taken:3 cαβ:4 belloni:1 theoretical:1 more:3 flat:4 formally:1 clearly:1 becomes:2 factor:2 emission:20 everywhere:1 particular:8 cases:1 k02:5 permits:1 work:1 dashdotted:1 following:1 drops:1 example:4 performed:1 compare:1 prompt:2 stream:2 give:1 process:4 relativistic:9 high:4 numbers:1 degenerate:1 lamb:1 rather:3 holds:2 regions:1 far:2 criterion:2 perry:1 opposite:1 parameter:2 sin:1 simplicity:1 astroph:2 may:3 broad:3 after:1 different:1 applications:1 produce:1 waves:4 fits:1 law:3 data:1 parallel:4 curve:6 purely:1 light:1 spectra:11 remedy:1 st:3 so:5 gamma:4 superscript:1 breaking:1 produces:1 developed:4 oblique:4 produced:8 bounding:1 including:1 haugbølle:1 its:1 longitudinal:2 lc:2 nordlund:1 temporal:4 ωst:7 vicinity:2 annales:1 differently:1 might:2 marshall:1 non:4 numerically:3 number:1 mention:1 front:2 now:2 meisenheimer:1 pendleton:1 easily:1 term:1 always:1 university:1 qv:4 sufficiently:1 lorenz:5 bursts:3 l0:2 instabilities:2 instability:2 entirely:3 mean:2 square:2 another:1 series:1 energy:7 hard:1 related:2 skelton:1 hededal:1 grbs:1 frequency:11 yoshida:1 substantially:1 laboratory:2 approximated:1 beyond:1 eq:1 special:2 gallant:1 shown:1 dominates:3 space:3 since:2 dsr:7 rz:1 mason:1 diffusive:6 dominate:2 evaluation:1 integrated:1 red:1 shows:1 asymptote:2 philosophy:1 turning:1 theory:8 ıˇcek:1 interactions:2 jester:1 mechanisms:1 standard:2 approaches:1 estimate:1 nonthermal:1 monographs:1 generate:1 derivation:2 geometry:1 silva:1 motion:4 length:2 harris:1 place:1 uses:1 first:3 l11:1 initial:2 shapiro:1 powerful:1 primary:1 system:1 simplified:1 directly:3 angular:3 braces:2 size:1 given:4 perturbation:6 jet:1 similarly:1 moderately:1 collimated:1 πm:1 assumption:1 1d:2 contri:1 observations:2 academy:1 exactly:2 immediate:1 transverse:9 part:4 natural:1 maksimovic:1 than:6 specify:1 oscillate:1 approximation:1 determines:1 eq0:2 namely:1 wilks:1 computer:1 flashes:1 gives:1 russia:2 perturbative:3 synchrotron:2 missing:1 modern:1 spectrum:28 emphasizing:1 need:1 apparently:4 linked:1 ray:7 acceleration:5 frederiksen:1 angle:12 efficient:2 convenient:1 sakamoto:1 mechanism:3 converges:1 note:3 sciences:1 k0:2 forces:1 kaplan:1 green:1 coincide:1 even:2 play:2 electric:16 normal:1 object:1 regular:2 uvarov:1 letter:2 dieckmann:2 analytically:1 physico:1 volume:1 deviations:1 especially:2 bregman:1 considered:6 soviet:2 calculated:2 later:1 optical:1 electrons:3 pattern:2 tsytovich:3 velocity:9 usual:1 typically:1 calculates:1 phenomenon:1 random:12 russian:1 attempts:1 inconsistent:1 preece:2 astrophys:8 earth:1 find:5 q0:12 q2:3 ratio:1 q4:5 dividing:1 blue:2 should:2 only:5 going:1 black:2 indeed:2 emitting:4 fq0:3 over:5 means:1 samsonov:1 express:1 feels:1 cannot:3 competing:1 during:1 aν:5 dq:3 evolution:1 continuum:1 settings:2 fields:4 arxiv:1 acknowledgments:1 qe:1 common:2 contain:1 analytical:1 nα:1 nβ:1 inside:1 rms:1 set:1 burst:1 2πm:2 turbulent:2 maximum:1 relative:1 ara:1 intensity:6 electrostatic:1 wω:3 uncorrelated:1 colgate:1 extragalactic:2 speed:1 review:5 currently:1 xray:1 state:1 various:5 between:5 approach:2 available:2 terms:1 nature:1 importance:1 emitted:2 however:5 rapid:1 key:1 jets:4 rapidly:1 jetp:3 relying:1 abruptly:1 cos:14 many:2 region:8 density:3 propagation:4 present:1 contribution:13 magnetosphere:1 expression:3 jersey:1 relevant:2 point:1 simple:1 coincidence:1 dimensional:3 arons:1 grants:1 gailitis:1 applicability:3 pp:1 second:1 capable:1 addition:1 trajectory:2 radiative:2 due:3 been:2 2cγ:1 describes:1 pe:3 anisotropic:2 ph:3 traversing:1 fig:1 field:20 direction:9 arises:2 corresponding:5 sufficient:1 coherence:2 photon:1 coherent:1 external:3 angles:2 c3:3 plasmas:2 those:2 c4:3 case:17 hughes:1 look:2 nishikawa:1 pacs:1 solid:3 straight:1 aip:1 value:2 excited:1 will:5 institute:2 while:4 suppose:1 applies:1 situation:1 buneman:1 taking:3 almost:2 thus:3 them:1 avn:1 conf:1 technology:1 situ:1 rfbr:1 confirmed:1 paciesas:1 suggest:2 fender:1 radiation:12 same:2 any:2 randomization:1 complex:1 emphasize:1 widely:1 relatively:1 higher:1 calculation:1 used:1 see:1 numerical:2 functions:1 average:1 compared:2 moving:4 infinite:2 frequently:2 normalization:1 recent:1 weibel:1 lower:2 narrow:3 modes:1 band:1 nevertheless:1 onedimensional:1 well:1 increases:1 comes:2 dominating:1 meegan:1 position:1 model:1 arising:2 charged:3 kawai:1 melrose:1 just:2 generally:1 observed:1 obtain:2 oxford:1 shape:3 campbell:1 scattering:1 yet:1 lacombe:1 enters:1 bution:1 except:1 iω:11 source:2 valid:1 tabak:1 treatment:4 easy:2 briggs:1 rectilinear:1 plasma:11 remaining:1 depends:1 read:1 schlickeiser:1 vα:1 vβ:1 bykov:1 press:1 turbulence:23 walk:3 prominent:2 dq0:4 like:2 particle:34 qualitative:1 discarded:1 hammer:1 yields:2 integrals:3 arbitrary:1 el2:7 reduced:2 because:2 flatter:1 geophysicae:1 some:5 flattenings:1 deflection:3 streaming:1 service:1 specified:1 oscillations:5 transversely:3 happens:2 provided:1 electromagnetic:2 though:1 exceeding:1 romanov:1 newark:1 critical:1 fishman:1 deflections:1 propagating:1 proc:1 refer:1 obey:1 power:3 each:4 agreement:1 although:6 properties:1 comparison:1 basis:1 o:2 essential:1 remains:1 range:4 insufficient:1 slightly:1 sensitively:1 fleishman:2 letters:6 presence:4 pergamon:1 into:6 within:4 integral:3 sol:1 three:1 rising:1 sov:1 elementary:1 graziani:1 kαβ:2 strictly:1 there:6 long:1 start:1 accordingly:2 much:2 low:2 way:2 astrophysics:2 analyze:1 was:1 function:4 form:2 differences:1 but:1 astro:3 curiously:1 scope:1 ioffe:1 line:1 promote:1 directed:1 absent:1 2πc:1 made:1 2πd:1 ωpe:36 characteristic:2 cells:2 uv:2 variations:1 up:2 us:2 international:1 below:1 astrophysical:3 limit:1 demonstrate:1 distribution:2 stages:1 similar:3 called:1 regimes:1 detailed:2 matteson:1 diverges:1 constant:2 certain:1 abstract:1 describe:1 general:2 single:5 exist:1 simulations:1 moves:3 physical:5 qα:1 harvey:1 nj:1 qβ:1 beaming:1 dotted:2 no:1 dashed:1 when:8 detail:2 nx:1 ny:1 other:3 role:1 spatial:5 nv:4 formed:2 kinds:1 calculating:1 models:1 fainberg:1 generated:2 important:2 peak:4 astronomy:1 agn:1 bret:2 dω:1 assume:1 physics:4 factors:1 beamed:1 nasa:1 mass:1 time:4 richardson:1 firpo:1
|
0705.3033.txt |@word extrapolated:1 φn1:1 r1s:10 regularize:1 increase:9 under:1 lowfrequency:1 φns:5 φnr:13 φnp:1 dell:3 every:1 figs:1 summarized:1 affect:3 logarithmically:1 φni:6 solution:1 viable:1 convenience:2 reshuffling:2 10b:1 10c:1 consistent:5 10a:1 estimates:12 direct:8 10d:8 approximation:20 likely:8 rigorous:3 10s:7 cesar:2 4x2:1 even:10 astrophysik:1 above:20 new:2 net:4 increasing:5 κm:1 κn:3 never:2 residual:1 here:29 atoms:6 ionization:11 b6:9 nonresonance:1 interpret:2 obtained:10 balance:1 rigorously:1 study:2 completely:3 reports:1 permit:1 changes:10 cancellation:2 blackbody:2 prints:5 3nd:1 replace:4 9s:1 total:52 linearly:1 would:9 negative:1 therefore:23 populations:4 successful:1 berlin:1 correspondingly:1 mather:2 excellent:2 circumstances:1 springer:2 work:6 interaction:2 example:4 give:11 relativistic:5 bennett:1 involve:2 want:3 times:13 hoc:1 provide:2 eni:7 returning:1 enp:2 how:7 answer:1 g1s:3 description:5 undergoing:1 thermodynamic:1 earlier:3 lab:1 summarize:1 effective:24 recombination:58 schneider:1 summing:1 maintain:1 correlation:1 order:7 interpretation:5 feedback:1 over:13 vary:2 expects:4 before:1 cli:4 better:4 production:17 fig:27 easier:1 maximal:1 them:2 affected:1 break:1 they:4 routines:1 by10:1 reasonable:1 each:7 mean:2 independent:4 series:2 literature:2 combining:1 substantially:1 crucial:4 particles:5 re:3 nontrivially:1 rn:5 rh:1 linear:8 1s:225 free:12 standard:5 estimate:4 wanted:1 publication:1 enormous:1 ate:1 saha:1 r3:1 cosmic:3 corrections:14 rybicki:3 a3s:3 already:4 rydberg:1 restrict:3 another:4 a3d:9 illustrate:2 similarly:3 16x2:2 rates:30 too:1 eqn:4 1f:1 17s:1 peculiar:1 distance:2 showed:1 approximations:5 zero:4 preparation:1 matter:1 ias:1 minus:1 rewrite:1 ran:1 mind:2 spectrum:15 quency:1 convenient:2 isolated:2 fitting:11 absorbed:1 2006b:2 blue:2 simplify:1 involving:5 germany:1 acknowledgements:1 flow:1 principle:2 inaccuracies:1 parenthesis:1 section:1 incomplete:1 planetary:1 lewis:2 make:5 x1:11 proposed:1 explain:1 specify:2 integrate:2 do:14 zeldovich:4 dg:6 de:1 dy:4 dw:1 dr:1 textbooks:1 release:2 nγ:1 pitaevskii:1 mihailescu:1 detection:1 depends:3 radius:2 result:6 w1:8 discussions:2 symmetric:2 ered:1 simplest:2 approach:11 iδn:2 schmieder:2 terms:22 amplitude:4 however:27 ws:5 overestimated:1 improve:1 received:1 fnr:4 hinshaw:3 distinction:2 requests:1 argue:2 fni:3 16d:1 2nd:2 16s:1 broadening:2 fre:1 radiative:5 three:5 been:2 much:7 expected:8 r4d:2 deeper:1 curves:7 applied:1 gns:2 tang:1 heidelberg:1 gnd:1 gni:1 procedure:4 pessimistic:3 n2i:7 iv:1 ii:5 suggest:1 realizing:1 γth:1 complex:1 split:1 evaluate:3 avoids:1 dimensionless:1 several:14 a2p:1 fairly:1 numerical:3 hand:2 vainshtein:1 tung:5 normalization:1 recombine:1 a2γ:9 just:2 thanks:1 previous:3 adding:2 rnp:20 5x:2 had:2 5s:17 macdonald:1 transformed:1 5d:17 rni:6 rnl:6 breaks:1 possible:22 9d:1 possibly:4 background:3 n2γ:15 unique:1 atmospheres:3 appearing:5 2007b:4 2007a:6 escape:18 fourth:3 opposite:2 comments:2 contributing:1 dubrovich:35 17d:1 o:1 ensure:1 slightly:5 considerations:1 presence:3 bound:10 down:3 multiply:3 wβ:1 cascades:1 methods:2 support:1 initial:47 approximate:7 width:16 conservation:3 fraction:7 astrophysics:10 was:15 medium:1 form:2 differences:10 true:2 absent:2 inside:2 maximum:4 labzowsky:9 gould:2 stages:1 b1:8 computing:2 abstract:1 nnd:2 dν:16 exist:4 nns:3 check:3 regime:1 ni:81 radically:1 no:23 whereas:6 generally:2 vanishes:1 b9:9 interested:2 role:9 np:23 nr:12 ns:41 optically:1 picture:15 15s:1 peebles:2 faction:1 15a:1 15b:1 15d:1 consid:1 variable:7 longer:1 assume:3 interval:4 together:5 time:6 n2:9 n7:3 global:1 focus:2 exceeding:1 leads:7 garching:2 computation:1 inverse:1 depend:2 finally:1 ın:7 frequencies:20 unchen:1 exact:1 level:53 did:4 der:1 slower:4 spectral:2 appear:2 lifshits:2 hummer:2 understanding:1 alone:2 xγ:43 appears:4 change:11 institute:1 shift:4 mihalas:2 studied:1 accomplished:1 simultaneous:1 usually:5 resonance:33 studies:2 useful:4 planck:1 visit:2 explicitly:3 scope:5 theoretical:4 introducing:2 appendix:12 cases:10 cas:6 modified:1 labeled:2 values:29 following:5 14s:1 figure:14 expanding:2 14d:1 14b:1 performed:7 allowed:1 hydrogen:76 occur:1 tremendous:1 divided:2 range:12 chemical:1 pure:6 parameter:1 may:9 max:1 applications:1 destructive:6 r2s:3 r2p:2 natural:6 johnson:3 explicit:2 yielding:4 ghz:1 cosmology:1 cascade:39 so:8 representation:1 kurt:1 typical:2 5x2:1 indeed:4 mainly:4 thomson:1 statistical:7 still:4 r2γ:1 thank:4 summands:1 interesting:1 vicinity:8 decreases:5 mail:1 main:6 non:61 noi:1 thereby:3 processes:14 introduce:1 scaling:4 now:13 discuss:6 teller:3 term:34 lies:4 drop:3 wong:31 em:1 domain:1 en:11 ei:1 significantly:7 populated:2 revised:2 astrophysical:4 approximated:1 ev:1 eq:36 microwave:3 shown:7 space:2 furthermore:5 interference:36 cancels:2 looking:2 collisions:1 extrapolate:1 formula:5 correct:1 shows:9 after:5 divergence:1 possibility:2 quite:1 care:2 derivation:1 transition:53 turn:1 neglect:1 first:12 symmetry:3 omitted:1 xe:12 simplified:1 long:1 directly:10 angular:4 given:32 checked:3 fmr:1 1a:2 1c:2 1b:2 1e:1 1d:1 1g:1 fmi:1 1h:1 structures:1 speaking:1 gives:1 hα:2 releases:1 schwarzschild:1 moscow:1 11b:1 released:7 x2:5 sublevels:1 zhurnal:1 than:42 coefficients:5 population:3 ivanov:5 third:2 require:1 future:3 were:15 russia:1 20s:3 san:1 r3d:3 reionization:1 correction:17 argument:1 say:3 anp:2 20d:3 anr:12 ans:14 r3p:2 any:17 r3s:2 note:4 sciences:1 take:3 destroy:4 mayer:3 altered:1 normal:2 formulae:14 contrasts:2 analytically:2 especially:4 considered:9 average:2 later:1 wing:21 typically:3 slope:1 show:13 ground:14 aint:1 slow:1 ratio:2 weisskopf:10 state:68 analytic:15 only:29 going:1 cannot:3 nearly:5 yield:2 ignored:1 n1s:3 physically:4 relative:10 fails:1 subsequent:1 review:5 boundaries:1 enough:2 between:10 affecting:1 checks:2 onephoton:1 multiplied:1 concentrate:1 analyzed:1 suppressed:2 many:5 region:4 according:13 expression:5 comes:3 among:2 afterwards:2 maintained:3 constant:5 considers:1 considering:1 lyman:56 mart:7 combined:9 hardly:2 6d:4 chan:2 rubi:7 6s:4 stems:2 careful:1 former:1 those:6 case:14 νni:3 profiles:29 cast:1 50s:1 canceled:2 ambient:1 property:1 helium:3 different:10 multiphoton:1 same:5 shifts:1 epoch:4 arguments:2 defines:1 extended:1 9x2:2 sunyaev:33 largely:1 roughly:6 without:1 coordinate:1 model:5 dimension:2 being:1 nd:23 rest:3 ne:4 reso:2 aspect:1 speed:1 ivanchik:3 photons:49 seems:1 except:1 treatment:26 extensive:1 momentum:4 real:6 aspects:3 around:5 sums:1 vacuum:5 using:24 accepted:1 moreover:1 mod:1 particle:2 reduces:2 either:2 integrals:8 fully:1 electrodynamical:3 satisfactory:1 cr:2 2e:1 2f:1 conservative:5 critical:1 provides:2 refer:1 dresden:1 power:1 equivalent:5 2c:1 ratios:1 refers:1 comparison:9 fixsen:2 discussed:9 perturbers:1 acr:1 inclusion:1 numerically:4 accounts:2 einstein:1 log:1 shells:22 removing:1 strictly:2 there:7 low:14 lot:1 assumes:1 complete:2 metastable:1 sophisticated:2 mnras:5 faster:5 terminus:1 applying:2 expect:3 strongly:6 ad:1 certain:1 describe:2 general:8 ar:2 formulation:12 lifetime:22 again:5 novick:2 field:2 valid:1 remarks:1 deviation:2 coherence:8 separate:2 photon:276 includes:1 a0:10 a2:1 included:12 offprint:1 mcas:7 curve:1 starting:1 represent:1 consider:16 pointing:2 caused:2 mnr:11 splitting:1 follow:1 expressions:2 astrophysicists:2 mpg:1 amplitudes:1 mpa:1 very:39 interpreting:1 breit:3 difference:12 newly:1 treating:1 applicable:5 large:8 small:8 grateful:1 renormalized:1 rate:73 further:3 val1:1 brackett:1 what:3 sub:4 sum:19 contrast:3 full:35 escaping:1 19s:1 ranges:2 brα:2 directions:1 19d:1 november:1 strong:7 equations:4 allows:2 prior:3 amount:1 uniquely:1 via:11 followed:2 detecting:1 proceed:1 quasi:2 comparing:4 taken:5 more:33 emission:55 controlling:1 particular:16 known:1 glad:1 science:1 equation:3 spontaneous:8 history:20 ions:4 compare:3 f3:3 cosmological:38 neglected:5 states:90 νd:1 νc:39 arise:1 yα:13 sharp:1 species:1 axis:1 needs:1 e2p:2 rather:8 simplicity:2 spitzer:3 advice:1 singularities:1 φ2p:5 coming:2 fn:6 short:2 spectra:22 negligible:3 sect:23 pleasure:1 september:1 developed:1 paper:10 scott:33 y3:2 its:2 energies:7 solving:1 actually:5 absence:1 alter:1 good:3 motivated:3 yn:3 yc:4 ye:1 number:9 framework:2 bigger:1 channels:4 2p:37 2s:22 always:4 presented:4 2x:1 drake:6 2d:1 κn2:1 γ2p:19 2g:1 2a:1 2b:1 radial:10 found:11 2n:3 energetically:3 2h:1 characterized:1 heavy:1 weight:2 sition:1 energy:19 idea:3 investigated:2 obtains:3 measurement:1 quantum:13 beyond:6 dominates:1 since:20 research:1 evaluation:1 doppler:3 reason:2 base:1 ask:2 beginning:1 definition:4 omit:1 consequence:2 major:1 substate:1 probability:14 reflected:1 dust:1 utilized:1 dominating:1 battye:1 temperature:3 introduction:2 leading:7 least:5 assumption:1 calculations:5 molecular:1 observations:1 pare:1 part:9 authors:3 focusing:1 18d:1 18s:1 determined:1 str:1 7d:1 electrodynamics:5 7s:1 orders:1 karl:1 lie:2 self:1 extrapolating:1 play:2 added:2 goldman:6 reach:8 most:2 significant:4 extremely:2 branching:2 deviations:13 clear:6 kr:2 electrons:10 kt:2 physics:8 lying:1 disturbances:1 relation:2 fine:3 find:7 impact:8 parameters:1 factor:7 his:3 lyα:6 notation:3 lyγ:2 eprints:1 during:9 continuum:12 e1s:4 arxiv:7 investigate:3 common:1 crh:1 annalen:1 set:1 publications:2 see:35 sec:17 close:31 dipole:3 syunyaev:4 probably:1 conditions:1 recently:2 creating:1 twophoton:12 opposition:1 relying:1 both:14 last:1 florescu:7 connection:3 context:6 whole:1 finds:4 experimental:2 supply:1 simple:8 corresponds:3 simply:4 pp:1 novosyadlyj:2 described:4 solovyev:1 due:47 ph:2 precision:1 tistical:1 determination:1 plasmas:2 fur:2 look:1 while:6 replaced:2 behavior:2 vol:3 apjs:1 seen:1 vanish:3 lymanα:3 shorter:1 stimulated:1 modification:1 paschen:1 composition:1 higher:26 used:11 levels:18 hospitality:1 recent:2 lower:15 analysis:1 distances:7 cocke:2 shape:19 atomic:3 substates:2 tables:1 conclusions:1 plateau:2 relevance:2 2006a:2 excited:2 big:2 showing:1 bit:2 wings:17 modifications:3 separately:8 communications:1 continue:1 yields:7 often:1 affects:2 some:14 b4:9 b5:9 strongest:1 towards:4 b0:9 examples:2 b2:9 b3:8 b8:9 ourselves:2 anisotropies:1 scale:2 resonances:24 measurements:3 integration:1 per:6 connecting:1 agreement:3 step:3 oed:2 pβ:2 pα:2 anything:1 f32:1 consequently:3 computational:1 into:14 within:38 integral:5 perturbing:7 institut:1 question:1 fast:1 analyze:1 sections:2 considerably:1 atom:15 russian:1 line:21 characteristic:2 up:24 us:3 ur:1 spectroscopy:1 fried:1 similar:4 associated:1 defined:4 redshifts:5 influence:1 single:21 fiziki:1 killian:1 steeper:1 dashed:1 application:3 deviate:2 greenstein:3 elements:4 excitation:2 allowing:1 structure:3 independently:1 implies:2 practically:1 required:2 equivalently:1 weights:2 sasselov:2 far:2 requires:6 code:2 partial:3 results:20 existing:1 go:1 gn:4 contributions:4 centers:2 send:1 seager:3 include:1 implicitly:1 wave:1 electron:17 resonant:60 varshalovich:4 fewer:1 optics:1 smaller:3 zh:1 hirata:9 karshenboim:6 dynamics:3 ues:1 3x:2 plays:6 3s:54 3p:3 henceforth:1 poles:3 3b:1 3a:1 3d:52 respectively:6 lem:1 focused:1 separation:3 l29:1 consideration:2 settling:2 convert:3 involved:3 larger:5 suggests:3 resulting:2 makes:1 involves:3 formulated:1 11s:1 scales:3 apj:6 uger:2 addressed:1 switzer:8 decrease:5 use:4 feb:1 few:3 december:1 normalizes:1 becomes:3 visibility:1 normalized:9 central:5 iii:4 account:9 integrating:3 when:18 reproduce:3 thin:1 drops:1 scatter:1 control:1 8x2:1 process:38 14a:2 dependence:2 high:22 assumptions:4 lamb:2 lyβ:4 regions:1 bassani:1 instead:3 verlag:1 profile:38 seaton:3 physik:3 physical:8 computations:34 light:1 nance:1 lines:3 correspond:2 element:5 b7:9 discussion:2 wigner:5 interpreted:1 produced:1 including:12 mentioned:8 write:5 decay:74 chosen:2 redshift:7 li:34 primordial:1 choose:1 defining:2 ly:2 13b:1 13a:1 greater:2 13d:1 polarizations:1 innermost:2 landau:2 13s:1 mention:3 2s1:3 february:1 tran:1 magnitude:1 l2:1 l1:1 references:2 lorentzian:32 related:4 frequency:27 separating:1 our:41 transitions:61 special:1 out:7 matrix:8 integrates:1 rev:13 integrated:1 red:16 interactions:1 8b:2 8c:1 8a:1 galaxies:1 8d:5 8e:1 approaches:2 confirmations:2 york:1 salamo:2 8s:4 hubble:1 kipper:3 determining:1 could:3 keep:1 assumed:5 hence:5 manuscript:1 profsoyuznaya:1 nebulae:1 adopted:1 their:12 intermediate:38 final:7 denominators:2 shell:9 academy:1 redshifting:1 exactly:1 nolta:1 bei:1 submitted:1 nonresonant:8 w3:1 w2:1 berestetskii:5 need:1 clearly:1 able:3 polarization:2 accuracy:8 aws:1 connected:4 why:2 volume:1 neighboring:1 normally:1 fact:1 12d:1 akhiezer:2 absorbing:1 γni:3 12s:1 γns:3 γnp:7 rough:3 agrees:1 subtracting:1 based:3 knowledge:2 should:40 emitting:2 he:1 equilibrium:6 meant:2 slows:1 means:1 overall:1 bear:1 words:1 redward:3 evolution:1 calling:1 contain:1 fixed:1 2p1:2 enhances:1 computed:12 exists:1 hν:6 hβ:2 hγ:2 frame:2 correlations:1 respect:3 edition:3 computer:1 closer:1 weller:1 written:3 neither:1 importance:2 emitted:12 key:3 problem:9 limits:2 taking:3 equal:2 attributed:1 etc:1 komatsu:1 figures:1 otherwise:1 detailed:6 relevant:3 co:1 cl:1 cf:3 environments:1 coordinates:1 table:12 second:8 addition:15 hinds:2 define:1 arises:1 corresponding:12 sufficient:1 releasing:1 bulk:1 astron:1 present:6 multi:8 unlike:1 value:18 will:17 freeman:1 zeitschrift:2 optimistic:3 generic:1 radiation:2 cross:2 unity:2 parts:1 largest:2 finite:3 reshuffled:1 difficult:4 effect:15 ion:1 infinite:4 contribution:31 center:7 antonio:3 ified:1 usual:4 less:3 accurate:3 obtain:7 storey:2 distant:19 density:3 absorption:2 nonrelativistic:1 day:1 adg:1 add:1 nor:1 increased:1 increases:3 know:1 immediately:2 necessary:3 like:12 success:1 28a:1 28b:1 δn:5 become:2 works:5 page:2 replacement:1 exceed:1 because:15 qed:1 classical:4 sequence:1 neglecting:3 lead:7 broad:2 overlap:1 does:9 assuming:3 eso:1 11d:1 11a:1 reaching:1 journal:1 quattropani:3 expansion:1 stellar:3 although:5 imaginary:2 about:3 carried:4 extension:1 column:1 universe:7 φint:1 compatible:1 important:9 introduced:4 own:1 letters:9 tiny:1 additional:20 transfer:4 naturally:2 function:7 but:24 astro:2 neutral:4 hn:2 highest:1 partially:2 count:1 compute:6 wish:2 below:22 decays:1 demonstrate:1 distribution:9 mechanics:1 int:4 contribute:6 denote:1 balmer:6 happen:1 functions:5 compared:2 percent:7 detail:1 virtual:7 arctan:8 other:13 details:3 chluba:38 conclusion:2 francisco:1 variation:1 astronomy:4 4x:2 factors:3 4s:11 4f:5 understand:1 4d:10 4b:1 4a:1
|
0705.3034.txt |@word δg1:4 consider:2 magnetic:3 global:1 splitting:5 four:5 gf:3 ginzburg:1 generalize:1 gl:5 contributions:14 hole:1 phonon:2 calculate:1 tice:1 supported:1 quasi:3 daniel:1 stable:5 tf:2 nodes:2 must:4 tc:2 eiq:1 g5:1 g4:3 g3:4 g2:4 straightforward:2 very:3 sheehy:1 ginsburg:1 harmonics:2 wave:1 electron:3 questioned:1 difference:14 exact:2 condition:1 leads:3 europhys:1 did:1 turns:1 anisotropy:4 having:3 vertex:4 try:1 tang:1 vector:20 small:1 originally:1 configurations:2 smaller:1 10m:1 measurable:1 literature:1 4u:5 zero:2 bulaevskii:1 further:3 10v:4 trick:1 what:2 stands:2 fine:1 section:2 3w:3 near:2 overwhelmed:1 kun:2 experiment:3 above:7 lifshitz:4 3c:1 new:2 method:10 contrast:1 temperatures:1 body:2 condensed:2 showed:1 ψsc:1 respectively:2 never:1 component:1 residual:1 here:2 atoms:2 test:1 45m:1 excess:1 path:1 along:2 pagliuso:2 superconductor:5 lubensky:1 ultra:2 technical:1 shift:2 study:2 larger:1 stressed:1 action:4 resonance:3 narrow:1 hundley:1 9m:4 planar:8 scaled:1 modulated:4 decrease:1 translational:5 apply:2 total:2 rψ:1 9w:1 9v:2 conventional:1 usc:3 takes:10 6m:2 remains:3 positive:5 give:2 negative:4 next:2 comparing:4 approach:1 therefore:6 m3:1 m2:6 survive:1 means:2 ψf:1 ψg:25 diagrams:1 more:3 diamond:4 populations:3 becomes:3 under:2 corrected:1 tm2:1 validity:1 ψg1:2 appendix:9 known:5 cases:1 hold:1 iii:1 fermionic:1 me:1 schrieffer:1 rotational:1 quartic:2 equation:1 work:1 gqc:6 mk:1 ng1:2 three:11 following:9 compare:5 lacerda:1 renormalization:1 chosen:8 expanding:1 choice:4 organized:1 rc:1 high:2 minimum:1 yip:2 want:1 sharp:1 counting:1 simple:3 rescaling:15 movshovich:2 provide:1 describes:1 divided:1 breaking:4 ultracold:1 revisit:2 far:2 nontrivial:2 fourth:3 optimal:1 parameter:7 sato:1 nematic:1 simplicity:1 mat:8 haven:1 may:9 after:16 diagram:10 applications:1 plane:1 ff:8 coming:9 lat:1 agosta:1 geometrical:1 mal:1 fn:1 times:1 realized:1 radzihovsky:1 jiang:2 liquid:8 higgs:1 maybe:2 appreciate:1 so:20 sc:10 order:44 fα:8 six:2 indeed:3 over:2 choose:6 years:1 course:3 thermal:2 experiments:1 looks:1 left:1 argued:3 cold:4 still:9 its:6 before:1 lg:6 group:2 thank:1 located:2 energies:1 lo:13 lk:1 exhibits:1 window:2 fig:37 lp:2 decreased:5 malinowski:1 imbalance:1 clp:1 versus:1 maley:1 non:13 komatsubara:1 combination:1 uv2:3 ye:5 landau:2 shankar:1 penetration:1 effects:3 they:1 now:4 yu:1 ther:1 february:1 always:5 university:3 tran:1 arrows:3 identified:1 2d:1 sufficiently:2 mode:3 2b:2 each:8 2l:1 pao:1 side:5 mean:5 heavy:4 el:1 domain:1 square:12 wα:5 sition:1 energy:29 hard:1 principles:1 related:1 q02:1 used:7 yoshida:1 expect:1 measurement:3 quantum:2 our:3 happen:1 transitions:1 special:1 out:8 shown:10 space:4 since:2 rev:12 research:1 attracted:1 rg:1 fqc:5 supports:2 integrated:1 note:1 shows:5 theory:4 mizushima:1 8a:1 little:1 free:23 quark:1 formation:1 imagine:1 put:4 bilayer:1 shortest:4 8u:1 pairs:11 organic:1 r2:1 could:1 transition:44 correctness:1 keep:1 turn:1 isotropic:1 first:19 copper:1 there:46 yong:1 symmetry:10 third:8 number:4 simplified:1 carry:4 capan:2 given:1 temperature:19 likely:1 their:6 introduction:1 system:8 relations:1 parallel:2 needed:3 quadratic:2 fermions:5 calculations:1 eqn:13 eighth:1 structures:7 final:1 larkin:4 interests:1 shell:1 trapped:1 centered:4 exactly:4 park:1 steglich:1 direct:1 part:1 favorable:4 than:9 coefficients:2 wide:1 unfortunately:1 roles:1 roberto:1 see:8 superfluid:4 states:2 absence:1 str:1 were:1 gives:3 published:1 function:1 fluctuation:1 locations:3 already:2 tozer:1 close:4 need:1 any:11 smectic:1 layer:1 studying:1 latter:1 isolated:1 mechanism:1 polarization:1 k2:2 internal:1 take:7 murthy:1 roton:3 b3:1 giuseppe:1 gα:6 normal:13 sets:1 plugging:2 most:7 fcc:16 eaten:1 pair:8 subset:1 class:1 cc:18 opposites:1 unequal:3 kf:4 considered:1 calculated:2 vertices:5 face:2 kr:3 points:1 electrons:2 brazovskii:1 ky:1 kx:1 physics:2 sum:8 fact:3 quasicrystal:9 son:1 casalbuoni:1 phenomenon:1 show:4 text:3 probe:2 is12:1 kitp:1 minimizing:1 gauge:3 substituting:1 trivial:2 find:13 ground:2 q0:3 ichioka:1 just:5 state:62 should:1 only:10 going:2 factor:1 integrate:1 discuss:3 do:3 radovan:1 triangle:14 3m:8 get:16 dd:2 de:1 fulde:4 define:1 listed:7 closely:1 lattices:31 interpreted:1 bardeen:1 hall:2 goldstone:3 conditions:1 arxiv:1 mon:1 twice:9 qc:3 paper:6 common:9 ng2:2 contain:1 qi:2 nα:2 valid:1 coefficient:1 set:5 detail:2 achieved:2 unpublished:1 nardulli:1 detection:1 namely:4 result:3 discussions:1 recently:3 conductivity:2 buzdin:4 compounds:1 ways:4 review:1 uα:9 materials:1 procedures:2 case:15 written:1 classes:1 cambridge:1 closed:11 between:17 iqi:1 boundary:1 paramagnetic:3 across:1 comparable:1 terms:7 appreciable:1 weak:1 however:7 equals:1 wu:3 extent:1 configuration:1 holds:1 both:5 cos:1 excitonic:2 many:2 region:1 conclusions:1 equal:1 zeeman:7 paring:1 connection:1 dated:1 context:2 contribution:21 expression:1 reside:1 minima:2 relevant:1 point:10 wall:1 effective:3 corresponds:3 leo:1 2nd:2 dimensional:6 consideration:2 table:4 considering:4 macdonald:1 jetp:2 described:1 second:10 cares:1 addition:3 detected:1 been:4 pc:2 detuning:1 pa:1 basic:1 expected:1 systems:1 6a:1 direction:1 describe:1 6d:1 insulator:1 quantities:1 essentially:2 gap:4 doesn:1 loff:31 general:1 spin:7 former:1 present:1 matter:4 applied:1 main:4 look:2 reciprocal:4 solid:9 defining:2 expanded:1 evaluated:2 choices:22 will:14 while:3 5c:4 evaluating:1 property:1 procedure:1 seven:12 vectors:23 vf:3 played:1 thus:3 them:3 surface:4 ii:1 superconducting:3 cond:8 partner:1 fermion:5 orbital:2 different:25 grant:1 suggest:1 uqc:1 lett:7 same:17 split:1 dimensionless:2 finite:4 higher:2 development:1 investigated:1 cubic:19 vαp:3 numerical:3 effect:2 possible:2 driven:1 phy:1 edges:2 stripe:22 insure:1 lower:4 modes:3 vα:5 pennsylvania:1 well:3 analysis:2 obviously:1 gsc:3 edge:7 feshbach:3 convenient:1 model:1 dimension:3 usual:1 proposed:2 less:1 being:1 observed:2 vαα:1 superconductors:2 rest:4 reviewed:1 mistakes:1 identify:1 atomic:1 facts:1 momenta:1 previous:1 adding:3 renewed:1 density:2 5u:1 realize:2 5m:2 lattice:57 belongs:1 location:2 easy:5 mod:2 5a:2 momentum:7 vertice:2 real:2 around:1 evaluate:2 breaks:3 results:4 term:37 spanned:1 possibly:1 increases:2 know:2 press:1 bit:1 2uα:1 stephanov:1 helpful:1 like:1 follows:1 reduces:2 agreement:1 vortex:1 unstable:1 byproduct:1 martin:1 response:1 therein:1 because:6 methods:4 classical:3 1st:1 some:5 b4:1 vsc:2 palm:1 b1:2 b2:4 respect:1 in8:1 christianson:1 bianchi:2 happens:1 scale:2 describing:3 dimensions:1 lead:3 kr2:3 avoid:2 opposite:13 ice:1 critical:2 nonuniform:1 minimization:1 rescale:1 sixth:11 oscillating:1 use:1 constructive:1 pressure:1 houzet:2 although:2 5b:3 chaikin:1 in14:1 in12:4 in13:1 in11:2 about:1 ferromagnetic:2 simplify:1 o:2 range:3 tribution:1 plus:5 observation:1 homogeneous:2 machida:1 countings:1 sarrao:2 presence:1 previously:1 into:11 within:2 numerically:3 nsf:1 due:6 down:3 phase:39 tza:1 references:1 tiny:1 determine:1 sov:1 balanced:1 16u:3 physical:1 ovchinnikov:2 forth:15 additional:5 support:1 pairing:5 3m2:4 gases:1 u2:2 width:1 much:1 low:2 way:4 was:13 propagator:1 naturally:1 lowest:8 complete:1 form:1 overcounting:1 murphy:1 triangular:22 but:12 a550:1 neutral:2 atom:3 line:2 highest:2 especially:3 count:1 compute:1 type:1 inside:2 uv:9 up:7 geibel:1 crystal:4 below:4 fermi:1 how:2 sides:1 fluctuations:2 problem:2 uf:4 similar:3 called:2 ab:1 constant:1 certain:1 combining:1 6b:1 textbook:1 ferrell:3 mini:1 single:1 6c:1 ing:1 triangles:12 regime:3 tedious:1 again:2 functions:6 compared:1 no:8 dashed:2 when:19 depth:1 ng:4 field:10 yang:2 department:1 shin:1 draw:1 kinds:2 condens:1 problems:1 stay:1 vp:1 important:1 studied:1 included:2 cooper:4 15m:1 lifschitz:1 structure:14 ago:1 fsc:6 assume:1 factors:3 rule:1 bcc:24 4l:2 bcs:6 starting:1 original:5 paired:17
|
0705.3035.txt |@word sector:1 consider:2 rev:18 varying:3 results:1 four:2 gogoladze:6 scalar:1 edu:2 gi:1 aug:1 quiros:3 concerned:1 finally:2 maryland:1 dobrescu:1 division:1 g2:8 g1:8 very:3 choice:1 ultraviolet:1 jack:1 casas:1 isidori:1 condition:11 level:4 turns:2 applicable:1 science:1 relation:1 upper:2 employing:5 consistent:1 prediction:4 modified:1 likely:2 estimated:1 canonical:4 established:1 g24:3 mimura:4 while:2 shares:1 current:4 annals:1 diaz:1 above:1 new:2 acknowledgments:1 contrast:1 lee:2 takenaga:2 component:4 here:2 lep:1 desired:1 possibility:1 consideration:1 along:1 quark:11 equations:2 appears:1 z2:4 obtained:4 great:1 kek:2 b387:1 suitably:1 institute:1 elaborate:1 larger:3 allows:1 amount:1 antoniadis:2 hospitality:1 suitable:1 via:1 extra:2 requiring:2 namely:3 explained:1 natural:1 highly:1 remnant:1 csaki:1 plot:2 takes:1 would:5 visit:1 predictions:1 nucl:9 therefore:1 taken:1 theoretical:1 more:4 ramond:1 acceptable:1 jiang:1 particular:2 must:1 md:1 quartic:13 erratum:1 kaluza:1 setup:1 work:1 mh:26 theories:1 mt:22 remain:1 values:2 mp:2 choi:1 following:1 meet:2 example:3 mz:2 renormalization:3 figure:5 lindner:1 b504:1 high:2 susy:1 ilia:2 2mt:1 provide:1 breaking:5 lepton:1 dyt:1 parameter:1 rept:1 after:1 sirlin:1 horizontal:2 scrucca:2 data:1 ghu:12 realized:1 attempt:1 effective:10 higgs:61 8g32:2 correspond:1 su:4 cosmology:1 so:5 sm:19 ohmann:1 order:2 interpretation:1 help:1 berger:1 hierarchy:1 indeed:1 over:1 displayed:1 cohen:1 interpreted:1 stability:2 thermal:1 paper:1 through:3 during:1 mentioned:1 japan:2 cold:1 yamaguchi:1 its:4 orbifold:5 group:5 thank:2 decay:1 energies:1 interesting:1 masses:5 solving:2 daemi:1 boson:21 li:5 production:1 rosado:1 mail:3 barate:1 supersymmetry:1 versus:2 non:5 altarelli:1 matchev:1 now:1 discuss:1 hatanaka:1 university:3 identified:5 bartol:2 possibilities:1 merge:1 magnitude:2 mode:3 reasonable:1 instability:1 entirely:1 schemes:1 energy:7 idea:1 ex:1 measurement:1 quantum:4 our:1 eq:1 out:2 emerges:2 shown:1 since:1 squared:1 3g22:1 research:2 content:1 attracted:1 induced:2 occurs:1 red:1 shows:1 working:1 theory:7 interactions:1 favored:1 free:1 standard:3 kehagias:1 wulzer:1 estimate:2 generate:1 βt:4 hamed:1 chiral:1 ministry:1 could:1 espinosa:2 corrections:4 first:1 origin:1 initial:1 symmetry:6 jhep:6 cacciapaglia:1 reaches:1 georgi:1 smaller:1 another:1 given:4 piard:1 unitarity:1 top:16 intermediate:1 listed:1 smoothed:1 observations:1 arason:1 park:2 electroweak:4 castano:1 part:1 somewhat:1 lhc:1 than:2 cheng:2 tree:3 zero:4 matter:4 determined:2 radius:1 enables:1 perturbative:1 lines:1 correction:1 machacek:1 say:1 any:1 implemented:1 randjbar:1 lim:2 latter:1 responsible:1 ideas:3 mechanism:1 note:1 instance:3 potential:9 coincide:1 petronzio:1 towards:1 collaboration:1 most:1 hosotani:3 letter:1 class:1 appelquist:1 observation:1 mass2:1 kk:2 calculated:1 coincides:2 g12:1 9g22:2 physics:5 precise:2 cdf:1 supported:1 gauge:40 maiani:1 find:1 fifth:6 completion:1 reminiscent:1 baryonic:1 merger:1 should:4 inami:1 local:1 hope:1 do:1 his:1 gev:47 klein:1 dependent:2 de:2 mgut:7 rges:4 competing:2 wise:1 mikaelian:1 reveal:1 silvestrini:2 arxiv:5 yield:1 predicted:1 compactification:17 luo:1 doublet:5 requirement:1 fair:1 imposing:3 langacker:1 beg:1 plausible:1 culture:1 finiteness:1 college:1 existence:1 discussions:1 close:2 jeong:1 ibid:1 away:1 case:4 future:1 various:4 between:3 boundary:7 conditions:3 yamashita:5 discovery:1 recently:1 jp:1 attention:1 weak:3 however:4 distinguish:1 yt4:1 yt2:6 ln:3 exceeds:1 contribution:2 argue:1 experimental:1 comment:1 adjusted:1 inflaton:1 point:2 gj2:1 lep2:3 dimensional:11 pole:6 table:4 mssm:1 fairlie:1 three:2 been:6 schmaltz:1 maru:1 yao:1 much:2 treat:1 ph:4 universal:1 rge:1 generating:1 corresponding:1 bulk:3 input:2 present:1 applied:1 exception:1 solid:2 appearance:1 value:1 will:3 near:1 evaluating:1 aid:1 property:1 shafi:5 couplings:5 loop:6 phenomenological:1 thus:1 xiao:1 ready:1 bij:2 fermion:2 manton:1 compactified:2 different:2 education:1 l55:1 grant:2 parisi:1 suggest:1 lett:21 same:4 clearly:1 finite:3 higher:7 independent:1 imply:1 see:7 dgi:1 barger:2 hand:1 kubo:1 running:2 invariance:4 normalization:2 recent:1 implements:1 lower:3 shortly:1 well:1 serone:3 without:1 matsumoto:1 unification:13 model:15 dimension:3 charged:1 unified:1 sakamoto:1 proposed:1 nandi:2 obtain:3 underlying:1 identify:2 vaughn:1 candidate:1 mcdonald:1 scales:2 seems:1 except:1 yt:6 wright:1 treatment:1 5d:3 mod:3 yukawa:13 around:1 evaluate:1 possible:2 dark:4 cruz:1 five:3 vacuum:2 using:2 like:1 g32:1 imposed:2 helpful:1 particle:4 yields:1 hung:1 therein:1 exceed:1 panagiotakopoulos:1 deal:1 self:1 udel:2 kawamura:1 happens:1 scale:22 tsukuba:1 dimensions:2 lead:1 bottom:3 panico:1 delaware:2 newark:1 okada:1 provides:1 cabibbo:1 krasnikov:1 ba:1 bi:2 broken:4 although:1 found:6 post:1 haba:4 about:1 usa:2 extension:1 universe:1 discussed:2 o:2 efforts:1 cutoff:2 previously:1 okumura:1 bound:9 due:1 down:1 references:2 aranda:1 hep:5 there:4 low:6 log10:4 function:4 jones:1 relic:1 complete:1 triggered:1 ford:1 volume:1 line:4 fg02:1 gi3:1 prevents:1 up:1 us:2 ur:1 considered:3 below:1 2πr:5 limit:2 sher:1 radiatively:1 called:3 int:1 certain:1 abstract:1 direction:1 dvali:1 superheavy:1 scientific:1 dλ:1 supersymmetric:1 doe:1 simplest:1 physical:2 no:3 dashed:1 when:1 vanishes:2 field:5 other:2 details:1 department:2 rehman:1 massless:1 shimizu:1 realize:3 conclusion:1 picture:1 noda:1 excitation:1 models:7 generated:2 important:1 benakli:1 astronomy:1 structure:1 searches:1 arkani:1 implies:1 coupling:27 controlled:1 required:1 mass:33 far:1 serious:1 4d:1 restored:1
|
0705.3036.txt |@word marinescu:1 limited:1 now:1 interspecies:2 switched:2 caused:1 magnetic:36 global:1 splitting:3 existing:1 broader:1 centers:3 whose:1 hold:3 crossover:1 calculate:1 giacomo:1 technique:2 agerl:1 passage:1 intensive:1 finally:2 indicate:1 th:2 stable:1 regal:3 analogous:1 include:1 heraeus:1 worth:1 stuhler:1 supported:1 virtue:1 very:4 listed:1 rise:1 safronova:1 seemingly:1 wave:3 indication:1 crosses:2 figs:2 summarized:2 resonant:1 experimentally:1 zwierlein:1 parameter:2 conserved:2 cool:2 thalhammer:2 vibrational:1 level:3 did:1 positions:8 bohn:6 large:4 small:4 inspection:1 assigning:1 upper:1 work:3 findings:1 consistent:1 miur:1 coefficient:2 discover:2 pulse:1 ospelkaus:4 approximation:1 zero:9 enhancement:2 loftus:1 further:2 estimated:1 kempen:1 even:1 employ:1 interatomic:1 trapping:1 apparatus:1 abg:7 section:1 evaporative:1 while:1 axial:2 experiment:4 above:2 waals:1 values:1 un:1 body:2 bi:1 full:1 simultaneously:1 exchange:3 jaakkola:1 respectively:2 lange:1 khaykovich:2 here:5 atoms:22 ionization:1 desired:2 explore:1 fiorentino:3 focused:1 free:1 separation:3 represented:1 along:1 observing:1 stenger:1 change:1 obtained:2 convert:1 bexp:4 shift:1 study:3 losses:5 allows:2 maioli:1 precede:1 recently:2 resulting:2 usually:1 resonance:36 studi:1 narrow:4 makes:2 winkler:2 via:5 useful:2 projection:1 suddenly:1 castin:2 private:1 highly:1 brought:1 analyzing:1 fedichev:1 condensates:4 apply:1 total:1 linearly:1 volz:2 presents:2 use:5 towards:1 asymptotic:1 would:3 intense:1 positive:4 predictions:1 france:1 few:5 therefore:1 taken:3 conservation:1 associated:3 panel:2 theoretical:4 more:1 separated:3 almost:2 babb:1 determinations:2 comparison:2 kim:1 giovanni:1 operators:1 under:1 problem:2 validity:2 connecticut:1 profiles:4 known:2 1µk:1 given:2 iii:3 fermionic:3 states:8 mg:1 mf:9 indicates:2 science:5 der:1 des:1 mi:1 sweeps:1 labeled:1 del:2 temperatures:2 ms:10 following:1 strecker:2 drops:1 example:2 vary:1 numbers:9 control:4 tab:9 indicated:1 give:1 predict:1 boseeinstein:1 smirnov:1 sample:8 collision:5 chin:4 performed:2 degenerate:2 honnef:1 sharp:1 reynolds:1 species:4 axis:1 information:1 rather:1 dalgarno:1 means:1 ultracold:13 hensler:1 immune:1 sif:2 instead:1 absolute:1 explains:2 isotropic:1 profile:2 mat:1 may:1 sesto:3 after:2 confirmed:1 modugno:7 applications:3 produce:3 fits:1 verified:1 horizontal:1 meif:1 data:4 kurn:1 atomes:1 diagonal:1 short:1 correlate:1 light:1 nance:1 spectra:1 lines:1 ghz:4 perform:1 fundamental:2 decreasing:1 subsequently:1 order:5 typical:1 interpretation:1 shield:1 indeed:3 over:3 mainly:1 nearly:1 feature:1 produced:2 held:1 experiments:5 including:1 lasers:1 lattices:1 cold:3 heteronuclear:1 its:1 rapidly:1 thank:1 fit:6 termed:1 jin:3 interesting:3 fix:1 sadeghpour:1 li:3 detected:1 systems:3 derivative:1 might:1 weber:1 riboli:2 non:1 good:4 motivated:1 university:1 thereby:1 peculiar:1 enrico:2 effects:2 exploration:1 inelastic:4 discuss:1 association:1 represents:1 february:1 finite:1 stabilize:2 cases:2 fully:2 edges:1 presented:3 identified:1 sufficiently:1 magnitude:1 trap:5 each:2 crossing:2 rennes:2 universit:2 side:3 characterized:1 mean:2 homogeneous:3 inouye:1 schemes:1 due:1 there:2 magneto:1 sov:1 gaussian:3 group:1 used:9 calibrate:1 measure:1 quantum:17 our:11 approximated:1 transitions:1 eq:2 event:1 ketterle:1 shown:7 kerman:1 open:2 hartrees:1 fellows:1 increase:2 collisions:9 rf:1 investigation:2 dominated:2 rb:6 assignment:1 johnson:1 ref:3 burke:5 shows:1 kantian:1 crossings:2 8i:1 theory:1 interactions:8 carr:2 gardiner:1 roati:5 fisica:2 isotope:3 standard:3 dependencies:1 formation:6 imaging:1 estimate:1 r6:1 interaction:7 entirely:1 prepare:1 βr:1 created:1 widths:5 chiara:1 transition:2 but:2 length:12 plane:1 place:1 exponentially:1 pfau:1 dipartimento:1 first:2 already:3 features:3 symmetry:1 prevent:1 number:7 ensher:1 dominating:1 construct:1 comprises:1 precisely:1 electronic:1 angular:2 size:1 piazzale:1 long:2 rempe:2 temperature:9 needed:2 introduction:1 leading:1 condensate:7 system:8 least:5 their:8 cooling:1 intermediate:2 rates:2 observations:1 molecular:14 sansone:2 final:5 williams:2 gives:2 shifted:1 amiot:2 sengstock:2 collapse:2 mostly:1 centered:1 wang:5 tool:1 accurately:1 homonuclear:1 larger:1 optical:5 because:3 unpolarized:1 sublevels:1 than:4 scheme:1 subroutine:1 third:1 bec:1 matteo:1 transferred:2 tunable:2 ranging:1 roberts:2 future:3 amplitude:1 were:2 bauer:1 naturally:1 projections:1 pre:1 lowest:1 permitted:1 correction:2 locations:4 curves:1 trimer:1 enforces:1 need:1 confirms:1 any:3 seminar:1 complete:1 forced:1 strength:1 depending:1 studying:2 magneticfield:1 able:2 isolated:1 note:3 asymmetric:2 high:3 potential:5 square:1 subject:1 explanation:1 channel:5 hyperfine:13 begin:1 added:1 relatively:1 allow:1 investigations:1 rhs:2 correlation:1 molecule:10 centro:2 mosk:1 singlet:7 kraemer:1 most:2 optimized:1 eight:1 plan:1 pair:1 measured:2 denschlag:4 schreck:2 parametrize:1 constructed:1 reduces:1 calculated:3 later:1 behaviour:1 repeated:1 cnism:1 humbert:2 ferrari:3 principle:2 urr:1 subsequent:1 julienne:3 minardi:1 physics:2 sum:1 fitted:1 quantity:1 superfluidity:1 spherical:1 particularly:1 text:2 danzl:1 labels:1 syassen:1 evaporation:2 discovered:2 bright:1 planning:1 radio:3 threshold:1 hendl:2 agrees:1 schmid:1 ground:3 symmetric:1 promote:1 based:1 knowledge:1 parameters:8 much:1 outside:1 should:5 only:7 cubizolles:2 molecules:7 attained:1 employed:1 proximity:1 achieve:1 neighbouring:1 mixture:2 zhao:1 closed:1 di:3 dependent:1 beams:1 de:4 broadest:2 firenze:2 da:1 beam:1 barontini:1 preparing:1 report:1 during:1 du:1 collisional:3 becomes:2 holland:1 stability:1 initial:2 fields:4 pilch:1 arxiv:1 oppenheimer:1 greene:4 bad:1 stamper:1 crf:1 predicted:1 stoof:1 wieman:2 analytical:1 through:3 eyler:1 schuster:1 valid:1 nist:1 reso:1 salomon:3 revealing:1 computed:1 reference:1 achieved:1 sensitivity:1 arimondo:1 respect:3 riedl:1 observed:4 see:5 actively:1 result:1 enhanced:1 discussions:1 close:3 bth:5 best:1 techniques:1 surfaces:1 phases:1 interacting:3 daley:1 nuclear:1 away:2 µm:1 state:14 determined:4 µk:1 between:4 progress:1 neither:1 previous:1 bahns:1 µb:1 boltzmann:2 comparable:1 triplet:7 terms:2 gould:4 right:1 nature:7 initially:2 weak:4 however:1 jr:5 poorer:1 spectroscopic:1 implementing:1 vanishing:2 selectively:1 bose:6 understanding:1 remaining:1 isotopes:4 both:6 providing:1 reported:5 taking:1 decay:1 catani:2 heating:7 zeeman:3 quantization:1 fulfilled:1 sensitive:1 selective:1 figures:2 dated:1 ernst:1 avoided:1 safely:1 experimental:6 andrews:1 load:1 detailed:2 relevant:1 groups:1 characterization:2 cc:4 effective:3 asymptotically:1 narrower:1 sweep:3 dimensional:1 exploit:1 werner:1 stretched:1 brecha:1 cs:1 moreover:2 actually:1 chromium:1 bongs:2 ct:1 jetp:1 described:1 tuning:2 lattice:1 addition:1 claussen:2 three:5 been:12 mark:2 pa:4 donley:1 interest:1 pj:1 ph:1 zaccanti:3 fig:20 arises:1 general:1 quantities:2 gas:1 coincides:1 else:1 observe:1 determination:2 goral:1 andrea:1 spin:5 c6:10 present:7 case:2 laser:3 pacs:1 empirical:1 value:11 excited:1 will:4 near:6 momentum:2 error:2 situation:1 converted:1 region:6 procedure:3 della:1 studied:3 coupled:1 phenomenological:1 averaging:1 verges:1 iv:1 ii:4 characterize:1 itself:1 properties:3 drr:1 limit:3 simoni:5 orbital:1 different:7 italy:4 combination:1 lengths:7 make:1 cross:1 same:7 clearly:2 wilhelm:1 widely:1 mixtures:1 und:1 several:2 pal:1 independent:1 investigated:1 imply:1 closest:1 laboratoire:1 hand:1 parametrized:2 moment:2 levels:13 waists:1 ferlaino:2 potentials:4 tune:2 lower:5 weakly:2 off:3 center:8 expression:1 well:3 analysis:5 amounts:1 without:1 feshbach:27 roma:2 position:1 model:12 arising:2 eu:1 left:2 sims:1 manifold:4 less:1 moments:1 physique:1 accurate:5 obtain:1 db:1 shape:1 unassigned:1 atomic:7 predicts:1 partridge:3 scattering:21 yet:2 cn:1 rapid:1 dissociation:3 zoller:1 density:2 cornell:2 absorption:1 fitting:2 improvement:1 internuclear:1 source:1 internal:1 hecker:4 location:3 samples:2 c10:1 cond:1 unprecedented:1 fattori:1 cornish:1 marco:2 bornoppenheimer:1 around:6 easily:1 altmeyer:1 innsbruck:1 absence:4 possible:3 corresponds:1 early:1 increases:1 provide:1 background:7 mol:1 using:3 nikolov:1 mod:1 loss:10 lost:1 precise:4 exploiting:1 efimov:2 adiabatic:5 specific:1 mhz:4 either:1 always:1 decrease:1 accuracy:4 essential:1 cooled:1 petrov:1 rubidium:1 successfully:1 phenomena:2 cnrs:1 born:1 growth:2 b0:17 examples:2 table:4 neglecting:1 alkali:2 cnr:1 umr:1 resonances:47 measurements:2 microwave:1 stwalley:5 manipulate:1 simmetry:1 assuming:1 compute:1 shlyapnikov:2 demonstrated:2 truscott:2 power:1 nello:1 jochim:2 agreement:2 how:2 evaporate:1 although:3 found:2 contracts:1 analyses:1 interferometric:1 optimize:1 swept:2 takes:1 deriving:1 about:7 constraint:1 column:1 discussed:2 dependence:2 o:1 reduced:1 bourdel:3 range:10 plus:1 mixed:3 germany:1 massimo:1 miesner:1 individually:1 outlook:1 rev:32 chu:1 h2:1 communication:2 into:1 within:1 bound:2 negative:2 stan:1 appropriate:2 weighted:1 determine:4 einstein:6 approximately:1 refined:1 bosonic:4 theoretically:4 van:2 elastic:1 comparing:1 transfer:4 ricerche:1 available:2 approximate:3 gases:5 dispersion:1 width:4 accordingly:1 quadratic:1 bartenstein:2 low:4 fraction:1 photoassociation:2 was:8 energy:11 interferometry:1 function:2 arα:1 herbig:1 elsewhere:1 form:2 some:1 potassium:7 converse:1 verhaar:2 overlapping:1 vuletic:1 marte:1 cedex:1 condensation:1 atom:12 derevianko:2 removed:1 eat:3 coupling:1 infn:1 infm:1 made:1 applying:1 represent:2 brackets:1 maximum:3 us:2 hulet:2 below:1 frequency:3 fermi:3 spectroscopy:3 errico:4 similar:1 agree:1 regimes:1 strongly:4 diverges:1 constant:1 defined:1 likewise:1 chibisov:1 condition:1 inferred:2 dashed:1 single:2 exist:2 wavelength:1 interpreting:1 distributions:1 koehler:1 regime:3 functions:1 nk:3 nm:1 variety:1 asymmetry:3 na:1 when:5 detail:1 sympathetically:1 field:39 other:3 solitons:1 dipolar:1 conclusion:1 deviation:1 briefly:1 inguscio:7 provided:1 photon:1 time:6 chem:2 prepared:5 lens:2 a0:11 a3:1 important:3 peak:1 ticknor:2 variable:1 griesmaier:1 structure:1 lang:2 tiesinga:7 independently:1 correlated:2 longer:1 typically:1 required:1 depth:1 c8:1 mass:1 fact:2 broad:17 grimm:6 once:1 requires:1 lett:21 bcs:1
|
0705.3037.txt |@word monte:5 saturating:1 excellent:4 results:2 parameterization:3 types:1 expressions:1 april:1 quasi:2 program:1 confirmation:1 amplitudes:2 straightforward:1 d36:1 very:4 hagiwara:1 summarized:1 entire:1 intersections:1 level:2 feb:1 large:5 small:1 cms:5 noted:1 upper:1 renormalized:2 consistent:1 edu:1 prediction:6 sign:2 fold:1 rate:2 design:1 carlo:5 tev:10 even:1 errors:1 froissart:6 perimental:1 giving:1 section:22 experiment:3 above:1 method:9 respectively:2 possibility:2 others:1 dissipated:1 sieve:1 anchoring:1 deduced:2 obtained:3 convert:1 inspired:4 completely:1 reports:1 loop:1 published:7 hospitality:1 adopting:1 involves:1 plotted:3 extrapolations:1 private:2 decrease:1 meson:1 d72:2 plot:6 eye:7 would:1 distinct:1 predictions:6 next:2 nucl:2 qcd:4 taken:2 25th:1 more:1 diamond:1 corrected:1 correspondingly:2 varying:1 fly:7 account:1 c47:1 mb:9 recall:1 protons:1 values:13 making:1 claim:1 compare:2 figure:2 predict:1 high:10 effectively:1 numbers:1 tan:1 absolute:3 needs:2 end:3 goal:1 turn:2 auger:2 far:1 parameter:8 astropart:1 map:1 may:1 earlier:2 gaisser:1 fits:3 data:13 constants:1 lhc:2 light:1 lines:1 derivatives:1 parameterized:1 extrapolation:1 algorithms:1 corsika:4 order:1 saturated:2 nucleon:1 developed:1 over:2 furnishes:1 saturates:1 statistical:1 still:1 its:5 supplemented:1 group:5 thank:1 fit:20 energies:7 interesting:1 fix:1 writing:1 production:6 degrees:1 fig:17 eur:1 good:1 northwestern:1 number:1 scaling:2 baltrusaitis:1 subtraction:1 they:9 inelastic:7 discuss:1 university:1 magnitude:2 found:3 dicted:1 constraints:4 el:6 arxiv:1 significantly:1 accelerator:4 energy:27 used:9 measure:2 our:14 eq:7 leave:1 shown:5 diction:1 since:3 rev:8 adaptive:1 squares:1 ref:9 common:3 theory:3 durban:1 interactions:4 given:1 free:2 effect:1 approaches:1 hep:1 incorporates:1 enormous:2 interaction:4 βp:3 determining:1 cosmic:11 introduction:1 length:4 instrum:1 b592:1 hence:1 exhibited:1 first:3 origin:1 manuscript:1 xm:1 primary:1 reaches:1 done:1 neglects:1 directly:1 city:1 differ:2 likely:1 glauber:4 unitarity:1 top:3 system:1 their:9 confirming:2 observations:1 percentage:1 direct:1 part:1 relative:1 critically:2 target:1 see:6 shower:11 determined:1 amplitude:3 were:1 tion:2 extracting:1 pre:1 files:1 modern:3 mine:1 curves:3 randomly:1 showers:3 need:1 seen:2 constrained:1 clearly:2 ray:11 mil:2 latter:1 note:3 extracted:1 internal:1 accuracy:1 circles:1 hires:12 collaboration:3 letter:1 measured:15 calculated:1 later:1 feynman:1 points:2 nuclear:3 physics:4 calculates:1 dot:2 quantity:1 slope:4 atmosphere:3 text:1 σpp:32 relation:2 calculable:1 agrees:1 impact:1 depth:3 ratio:1 knowledge:1 parameters:2 should:1 halzen:4 analytic:3 only:1 screening:1 gev:11 dependent:1 syst:2 honda:1 report:2 during:1 dt:3 portion:1 evolution:1 yakutsk:4 acknowledgments:1 experiments:7 predicted:2 xmax:5 qk:1 knowing:1 qgsjet:1 set:1 lns:1 sifting:1 observed:1 depends:2 decided:1 result:2 techniques:1 project:1 subsequent:2 d58:1 engel:2 future:1 between:3 available:3 overestimates:1 weak:1 however:1 ln2:2 both:7 essentially:1 improved:1 cot:1 taking:1 parts:1 against:3 ln:3 σp:56 experimental:6 among:1 cm:1 point:2 corresponds:1 proton:10 table:6 along:1 pp:16 tevatron:1 collider:3 basis:1 markedly:1 been:3 strategy:1 extraction:3 reduction:1 workshop:1 combined:1 agasa:1 ph:1 outliers:1 easy:1 formed:1 spectrum:1 determination:5 systematic:1 c2:3 c1:3 c0:2 violations:1 pryke:4 atmospheric:1 look:1 exponential:2 pacs:1 solid:4 value:22 air:74 will:2 near:1 rutgers:1 error:7 ultra:2 anchor:1 procedure:1 eidelman:1 identical:1 unitary:1 vol:1 sibyll:3 simulations:4 thus:7 ii:2 vs:8 il:1 different:4 develop:1 sensitive:2 make:1 cross:31 same:2 unity:1 drawback:1 emphasize:1 widely:1 several:2 development:4 independent:2 attenuation:2 http:1 monotonic:1 purpose:2 necessity:1 lower:1 center:3 minimize:1 no:2 well:3 analysis:2 edge:1 model:12 fermilab:1 λp:5 just:1 accurate:2 obtain:4 scattering:5 λm:8 halfway:1 now:2 conclusions:1 27th:1 had:1 lake:1 evanston:1 spread:1 lett:3 versa:2 extensive:3 match:1 gave:1 real:2 rescaled:3 showing:1 measurement:4 five:1 using:10 4mp:1 tail:1 necessary:1 like:1 particle:4 serves:1 steps:2 sieved:1 reduced:1 extract:1 old:1 methods:2 pierre:2 deduce:1 suppl:1 moreover:1 aspen:2 total:11 electromagnetic:1 measurements:1 per:2 aglietta:1 eliminate:1 prod:45 proc:3 measuring:1 reaching:1 icrc:2 predicting:1 agreement:5 described:1 imaginary:1 hadron:1 comparison:1 about:1 central:1 freedom:1 dependence:6 simulation:1 range:5 consequently:1 block:9 d62:1 significant:2 communication:2 into:4 obtaining:1 bound:5 due:3 square:1 ppt:1 uncertainties:1 statistics:1 span:2 additional:1 elastic:3 there:3 transform:1 dispersion:1 low:2 forward:5 sections:9 function:1 dσpp:2 complete:2 form:1 but:1 expected:1 hb:1 unreliable:1 eas:2 proposal:1 made:4 compute:1 ρpp:2 maximum:2 us:2 belov:3 σtot:1 fluctuations:1 distribution:6 agree:1 constant:2 inclusive:2 defined:1 combining:1 2mν:1 laboratory:3 trailing:1 archive:1 compared:1 analyticity:4 variety:1 fixing:2 whereas:2 detail:1 details:1 department:1 karlsruhe:1 deviation:1 stat:1 models:4 generated:1 important:1 allowing:1 dissipation:1 astronomy:1 algorithm:1 vice:2 salt:1 interval:1 curve:4 together:1 mocca:2 mass:4 fact:1 experimenters:2 time:2 requires:2
|
0705.3039.txt |@word limited:5 now:2 measurements:1 partial:4 consider:5 ceases:1 migrated:1 caused:1 meteoritics:1 asteroids:1 hot:1 results:27 alerting:1 existing:7 leads:3 known:14 ge:2 signatures:1 migrates:1 edu:1 go:1 follow:1 expressions:1 disk:148 targeted:1 hole:1 causes:1 poorly:2 compact:2 whose:3 preserves:1 simon:2 depend:2 calculate:1 similarity:2 young:1 interactions:1 protostars:1 finally:1 critical:5 obviously:1 depending:1 determinations:1 under:3 analogous:1 include:1 cm3:1 dramatically:1 cm1:1 sound:2 keck:3 lack:1 broadly:1 very:7 desirable:1 blanket:1 rise:1 report:1 semi:9 epoch:3 axes:1 sensitivity:2 affect:2 emphasized:1 little:2 minerals:1 condition:3 entire:3 obvious:1 publicly:1 presented:2 ought:1 cuts:1 presumably:1 list:1 solution:7 t0:8 viable:1 large:14 hubickyj:3 hypothetical:1 bodenheimer:5 small:37 sano:2 shows:21 cms:1 torques:1 dis:1 upper:5 balbus:2 smaller:8 slower:1 broader:1 altering:1 miller:1 consistent:10 parameterization:1 estimates:1 direct:1 goldreich:2 budget:1 approximation:4 surrounding:1 rate:47 arizona:1 timescales:2 value:6 further:4 dynamics:1 mj:14 situated:1 quite:3 approached:2 spectral:1 index:5 what:1 errors:2 developed:2 sub:4 richard:1 selected:6 az:1 near:1 expressed:1 tremaine:2 current:2 version:1 absolute:1 above:6 fractional:1 new:2 learned:1 order:5 predict:3 prefactor:1 evolving:2 full:1 evolved:1 extrasolar:23 prato:2 compilation:2 even:1 certainly:1 here:11 podolak:1 ionization:1 reported:2 explore:1 possibility:4 excess:2 ratio:5 along:2 strong:2 equations:1 logarithmic:3 extreme:1 box:1 paucity:2 search:3 bvr:1 dividing:1 hubbard:1 technical:1 maximum:1 study:3 larger:12 allows:2 typically:5 mazeh:2 later:1 significantly:1 suggests:1 resulting:10 transitions:1 action:1 suitable:2 changes:11 options:1 involves:1 plotted:8 via:8 followed:1 divide:2 jones:1 scales:5 attempting:1 transit:1 treatment:4 outcomes:1 apj:27 ask:1 specifics:1 weaker:1 decrease:1 rodrguez:1 tidal:4 apply:2 total:1 estimate:2 unit:2 angelo:3 plot:2 confidence:2 eye:2 proceed:1 would:14 protostellar:1 remains:4 give:1 predictions:13 tightly:1 next:1 tauri:3 few:9 mation:1 noting:1 dnp:7 criteria:1 butler:8 inner:9 type:15 theoretical:18 reflects:1 more:16 sort:1 johnstone:6 initial:10 apparent:2 problem:1 validity:1 purposes:1 needed:3 normalized:1 sharply:1 varying:1 eccentricity:2 ward:2 must:3 me:1 evolves:6 trilling:5 rγ:2 miyama:2 bally:2 equation:8 work:4 sweeps:1 worth:1 reproduce:1 remain:2 bias:1 values:8 mp:12 ms:3 following:1 meet:2 drops:2 root:2 example:6 history:1 protoplanetary:21 dn:3 compare:3 transition:4 program:2 figure:23 ionizing:3 lives:1 choice:1 benz:6 grant:1 updated:1 sample:24 unbiased:4 minimum:2 numbers:3 degenerate:1 allowed:2 sharp:2 difference:2 feasible:1 distinguishable:1 occur:4 forms:1 axis:8 dominant:1 information:4 end:3 goal:2 rather:10 discussion:1 acts:1 ruden:6 evidently:2 how:11 extended:1 possibly:1 significance:3 instead:4 ignore:2 parameter:4 sin:6 profile:3 try:1 description:3 influenced:1 may:7 after:3 variant:3 different:11 demanding:1 reflect:2 hence:4 modest:4 explored:1 discard:1 verified:1 law:10 data:14 grow:1 types:1 ambiguous:1 aj:1 short:7 attempt:1 effective:1 analyses:3 fallen:1 linear:1 lines:6 correspond:2 scenarios:1 complexity:1 maintain:1 so:12 inspiral:1 lined:1 clarke:20 wind:11 typical:3 displays:1 restriction:1 holds:1 palla:5 feedback:1 excludes:1 indeed:1 over:8 move:1 vary:3 satisfied:2 font:3 years:2 course:1 thermal:2 paper:5 including:5 looks:1 statistical:10 left:4 satisfies:1 still:1 mayor:4 before:3 observational:8 unknown:1 style:1 derive:3 outer:5 probability:1 chosen:1 inward:5 masses:16 striking:1 proposed:1 expectations:1 late:2 ogilvie:1 detected:4 systems:6 bin:1 clusters:1 main:2 might:6 injection:1 eventually:1 non:2 good:4 greater:4 thereby:1 l153:1 practice:2 pja:1 investigated:2 israelian:2 differential:3 warranted:1 penetration:1 effects:4 they:9 half:1 satellites:1 yr:10 shakura:3 densities:2 represents:2 term:1 speaks:1 intractable:1 fully:14 university:3 drop:3 ensemble:1 possibilities:2 sufficiently:4 petit:1 magnitude:7 differing:1 reasonable:2 radial:25 instability:1 entirely:2 ast:1 safely:1 characterized:1 constraints:5 hawley:2 square:2 primarily:3 weight:1 doubt:2 undetectable:1 hard:1 overflow:1 related:1 slowdown:1 each:3 kastner:1 steeper:1 astrophysical:1 increases:1 variety:1 measure:2 substantially:7 our:14 mapping:1 beyond:6 out:7 leave:3 shown:9 dominates:2 rp:3 opened:1 space:3 quantify:2 jump:2 since:6 sotomayor:4 mccarthy:1 looking:1 nominal:1 dominated:4 lived:1 formula:1 utility:1 occurs:4 common:2 dataset:1 earlier:7 theory:8 barrier:2 state:4 favored:6 derived:5 discontinuity:2 given:9 free:2 standard:2 admits:1 completely:1 toy:1 formation:28 lissauer:3 intermediate:1 philip:1 rises:2 measurement:1 generate:1 jila:1 log:7 5au:1 interaction:1 retained:1 r1:1 launch:1 starts:1 could:6 area:2 put:1 catalog:1 dispersal:14 times:3 place:1 massive:33 incorporated:1 mdisk:2 consequence:4 view:1 onto:3 strictly:2 first:3 origin:1 major:9 already:2 fischer:10 surviving:6 perturb:1 variables:1 papaloizou:3 primary:1 references:1 armitage:20 simplified:1 least:5 directly:1 changing:1 impossible:1 open:1 angular:14 size:2 surveys:6 perturbation:1 bracket:2 swept:1 seibert:4 introduction:1 leading:1 system:5 adopted:3 their:7 accretion:33 rates:7 observations:4 calculations:1 normalization:3 persion:1 signature:2 exponents:1 too:2 exploring:1 fraction:3 mostly:1 relative:3 instabilities:2 accurately:1 prediction:5 lynden:2 astrophysics:2 assumption:3 part:1 somewhat:3 authors:2 number:12 magnetorotational:1 unrealistic:1 than:20 dependent:3 population:2 plausible:1 level:2 translate:1 l47:1 ara:1 prevent:1 was:1 migrating:1 programs:2 likely:4 shallowest:1 final:7 aat:3 future:2 photoionized:1 were:1 fractionation:1 hollenbach:5 outcome:2 treated:1 distinguished:1 result:6 supplement:1 lowest:1 lick:3 better:2 gullbring:1 cyr:1 reviews:1 unchanged:2 modern:1 torque:2 curves:14 expect:1 definitive:1 substantial:4 headings:1 qualitatively:1 seen:1 turner:2 constrained:2 clearly:4 relatively:5 lie:1 wyatt:1 zero:4 refute:1 smooth:3 lin:14 able:2 snow:7 mechanism:3 note:3 sciences:1 empirically:2 without:4 take:1 observationally:3 interior:3 negligible:2 l113:1 unperturbed:1 nebula:1 altered:2 allow:2 lubow:10 though:2 quote:1 sets:1 viscosity:14 definiteness:1 falls:2 most:9 importantly:1 but:25 significant:10 accreting:2 retaining:1 grateful:1 histogram:4 cases:5 class:1 insightful:1 pollack:2 latex:1 constructed:1 considered:11 stranded:6 flow:6 drive:2 typeset:1 takeuchi:2 points:1 principle:6 exp:1 parenthesis:1 conservatively:1 velocity:17 constrain:4 exceeds:3 quantifying:1 fact:2 slope:4 planetary:13 selection:3 spaced:1 thank:1 show:14 listed:1 text:1 detection:1 supported:2 restricts:2 scattering:1 radii:51 gauge:1 solutions:1 absorbs:1 earth:1 uniform:3 find:3 decade:1 muzerolle:2 wilner:2 giant:7 specifically:1 based:4 zucker:2 parameters:10 ages:1 enough:4 should:5 analytic:8 only:20 explicitly:2 ballantyne:1 factor:5 uppermost:1 local:6 tucson:1 boulder:2 do:4 valenti:9 slows:1 sense:1 therefore:4 wide:1 nakazawa:2 between:22 quantified:1 straightforwardly:1 preferred:1 da:1 methods:1 define:3 cannot:1 murray:2 closely:2 progress:2 timing:1 during:5 respectively:1 averaged:1 nearly:1 alexander:7 evolution:19 increasing:2 shu:3 arxiv:1 lizano:1 yield:5 appear:1 whether:4 investigate:1 intervals:2 schemes:1 predicted:30 through:2 undergone:1 fixed:4 inside:2 scoville:2 irradiation:1 set:2 computed:4 reference:1 physically:2 lifetimes:1 exerted:1 kolmogorov:2 up:4 observed:15 arise:1 depends:4 individual:1 radius:50 migration:88 ignores:2 close:4 forthcoming:1 outward:1 best:1 subject:3 dmp:1 fails:1 probable:1 matter:1 distinctive:2 illustration:1 currently:3 sites:2 kind:2 calvet:2 favor:2 outside:5 compilations:1 hopefully:1 2mj:1 probably:2 boundary:1 conditions:3 across:7 side:2 available:5 variability:1 comparable:3 handful:1 terms:1 statistically:2 extend:1 opening:5 importance:1 prior:1 weak:3 however:15 science:3 efficiency:7 cut:4 extent:3 fluctuations:1 distinguish:1 rapidly:8 come:1 inertia:1 improve:1 assumptions:1 observable:1 essentially:1 prescription:1 limits:1 hillenbrand:1 many:3 region:1 uncertainty:1 escape:1 according:3 attributed:1 sensitive:4 involve:1 l143:1 viscously:2 syer:3 lunine:5 expression:1 fix:2 nearby:1 arbitrarily:1 detailed:2 adjusted:2 relevant:2 co:2 conclude:2 simple:7 fgk:1 period:3 written:1 differ:2 exclusively:2 middle:1 consideration:1 cs:3 table:7 referee:1 separable:1 second:3 decline:2 combines:1 targeting:1 pin:1 kinematic:2 wright:1 equivalent:1 suppressed:25 reducing:2 arbitrary:1 due:8 been:11 unavailable:1 defined:3 reduction:1 much:9 growth:1 treat:2 interest:4 basic:2 expected:4 deliberately:1 ph:1 fig:10 obtained:3 myr:10 corresponding:1 easy:1 relaxing:1 both:4 restricted:1 quantities:1 formed:2 gas:12 precision:1 morbidelli:2 hayashi:2 determination:2 systematic:2 spie:1 last:2 general:2 those:10 case:10 exception:1 uncertain:1 approximated:1 solid:11 defining:1 reliable:1 harder:1 empirical:1 profiles:3 remaining:3 will:6 subsample:7 while:6 ongoing:1 fiducial:8 stopping:1 irrespective:1 drives:1 taking:2 procedure:3 manner:1 artymowicz:4 varies:1 robert:1 almost:5 veras:2 surprisingly:2 surface:17 equal:2 ii:13 disfavored:4 vr:3 semiamplitude:1 photoevaporative:2 exterior:2 chambers:1 livio:1 situ:1 orbits:1 orbital:36 vogt:1 santos:4 recover:1 develop:1 baseline:4 nakagawa:2 variations:3 make:3 cumulative:6 intrinsic:1 indistinguishable:1 same:8 any:7 piles:1 unity:2 potentially:3 circularization:1 tinney:1 survey:2 dimensionless:1 several:4 tapped:1 higher:4 innermost:1 independent:8 used:7 imply:3 see:1 photoevaporation:15 absorb:1 numerical:7 upon:5 effect:10 counterparts:1 hand:3 driven:3 constraining:1 moment:1 levels:1 discriminate:1 sunyaev:3 confines:1 garaud:2 early:2 lower:3 drain:1 off:1 subsets:2 scenario:1 largely:2 rules:1 studies:1 modeled:1 well:5 roughly:3 analysis:2 finds:1 thought:1 calibrated:1 hosts:1 consistency:1 l101:1 comparisons:1 model:61 otherwise:1 latter:1 matsuyama:2 distances:1 jupiters:1 5mj:1 drawn:1 looked:1 quoted:3 less:8 being:4 valsecchi:1 epochs:1 fingerprint:1 thickness:1 detail:1 subsamples:1 lossy:1 situation:1 predicts:1 immediately:1 conservative:1 alternative:1 speed:3 smirnov:2 down:2 previous:1 rapid:5 preprint:1 candidate:1 density:15 point:1 seems:2 selfsimilar:1 conclusions:3 valid:1 pile:2 location:2 samples:7 plenty:1 input:1 match:2 exoplanet:1 momentum:13 nasa:1 identical:2 tests:1 lada:6 around:6 lacking:1 easily:2 bins:1 survival:2 absence:2 possible:11 corresponds:2 inconsistent:1 test:4 suffering:1 marcy:3 press:4 using:8 depicts:1 moreover:1 magnetosphere:3 nag5:1 apart:1 loss:20 nsf:1 decays:1 lost:1 follows:2 disks:7 noted:3 specific:1 flux:3 detections:1 grants:1 yields:5 either:4 guillot:1 martin:2 become:3 conclusion:1 reasonably:3 making:1 accessible:1 exceed:1 because:2 change:6 classical:1 ignored:1 flatter:2 some:14 self:6 hartmann:6 rin:3 pascucci:3 jupiter:6 evaluated:1 specified:5 critique:1 multiple:3 treatments:1 guess:1 matching:1 transport:7 provided:4 scale:4 amongst:1 lead:2 realistic:1 companions:1 exceeding:1 per:4 instantaneous:2 does:5 provides:2 assuming:9 gapless:1 indication:1 haisch:3 straightforward:1 refer:1 illustrate:2 process:3 scientific:1 power:12 sensible:1 jumps:1 pose:1 annular:1 agreement:3 expansion:2 update:1 stellar:6 host:4 greenzweig:1 biases:1 although:1 squarely:1 described:2 approximating:1 implicitly:1 emulateapj:1 properties:13 panel:5 comparison:10 about:7 simplest:3 central:2 increasingly:1 instantaneously:1 am:1 discussed:3 dependence:7 o:2 reduced:2 compatible:1 distinct:1 range:10 misleading:1 learning:1 ford:2 wolk:2 mean:3 ida:3 cutoff:1 bate:3 rasio:2 colorado:3 presence:1 previously:3 into:9 within:20 obtaining:1 steady:3 accumulates:1 three:5 assess:1 appropriate:2 right:1 promise:1 determine:1 obtain:1 approximately:5 import:1 refined:1 tabulated:1 initially:1 theoretically:3 technically:1 uncertainties:3 additional:2 comparing:1 assumed:9 support:2 there:12 question:1 approximate:1 long:5 icarus:5 dispersion:6 start:1 accordingly:2 window:2 low:11 stars:10 discontinuities:3 forward:1 brice:1 conceivable:1 viscous:4 sections:1 combined:1 function:30 tight:1 narrows:1 gaseous:1 complete:4 form:34 furthest:1 forming:1 becoming:1 differences:13 jul:1 applicable:1 astro:1 properly:1 ho:1 solar:9 survive:4 mnras:12 line:10 lockstep:1 true:3 illustrative:2 partially:14 compute:5 entry:1 accumulation:1 understood:1 proceeds:2 ωp:3 gravitational:1 burrows:1 detectability:1 particle:1 quantitatively:1 planet:82 weidenschilling:2 below:1 frequency:2 limit:4 3mj:1 steepest:1 detectable:3 distribution:49 walter:2 similar:12 nature:2 regimes:1 bell:4 sometimes:1 constant:7 abrupt:3 mindful:1 migrate:7 stronger:1 abstract:1 describe:2 influence:4 evidence:2 single:3 arises:2 au:62 rule:1 planets:144 bital:1 lifetime:5 formalism:1 distributions:7 campus:1 four:1 regime:9 high:8 compared:2 completeness:1 us:1 dotted:1 no:9 amounts:1 dashed:13 whereas:2 when:7 green:1 scaled:1 application:1 other:13 statement:1 details:1 holding:1 becomes:2 department:1 ruled:2 hydrated:1 origins:1 particular:2 opacity:1 alternate:1 draw:1 elements:2 star:8 tracks:1 models:53 uniformly:4 ultimately:1 variation:7 includes:3 alessio:1 metallicity:2 important:3 allowing:1 suppression:6 richardson:2 included:1 formal:1 gap:16 dispersed:8 structure:7 searches:1 pringle:14 tform:2 im:1 longer:1 assume:6 physics:6 age:2 interval:3 curve:14 orbit:1 together:2 itself:1 implied:2 mass:116 time:27 cores:1 gammie:3 accreted:2 requires:1 having:1 others:1 once:5
|
0705.3040.txt |@word neighbors:6 represent:1 sci:1 consider:3 directions:1 neigh:1 results:2 leads:5 3a0:3 gk:1 centers:1 increase:1 depend:2 calculate:2 graph:2 vacancies:1 behave:1 gaa:11 under:2 dominated:1 applied:1 amplitudes:1 g0:3 very:2 rise:1 splitting:1 electron:3 ρb:9 figs:1 resonant:1 difference:1 exact:4 four:1 presented:1 nucl:1 t2:2 solution:2 t0:33 large:1 solved:1 vector:1 red:2 science:2 small:1 chemically:3 nanoribbons:1 dilute:1 thin:1 faculdade:1 past:1 fold:1 zero:5 castro:5 chem:5 cfp:1 blue:2 appear:1 giving:1 displaying:1 sum:2 near:1 3t:1 cell:2 above:3 contributes:2 filled:1 mele:1 cheianov:1 full:1 lee:2 kitp:1 respectively:1 here:2 atoms:7 boron:3 represented:3 strong:3 equations:3 appears:3 change:1 obtained:2 pyrolytic:1 study:2 vectors:3 t20:2 fourier:1 changes:3 via:1 useful:1 jin:1 app:2 replace:1 total:3 9t:6 unit:3 readily:1 plot:2 conventional:1 usa:2 intensively:1 positive:3 contains:1 negative:5 zig:1 depicted:1 therefore:1 distortions:1 films:1 graphene:8 possible:1 more:3 loktev:1 becomes:1 operators:2 particular:2 hole:1 ρa:7 crosses:2 ma:1 hopg:1 work:4 modified:1 85a:1 following:1 cond:2 modifies:1 performed:1 nearest:14 ma2:1 give:1 process:1 discussed:1 states:9 geim:1 numbers:1 novoselov:4 absolute:1 creates:1 six:1 chemical:4 maps:1 significance:1 parameter:1 mat:3 may:1 after:1 singularities:2 santos:1 waves:1 martins:1 spectra:3 wehling:1 green:7 sc:1 definitions:1 kurt:2 neto:4 interpretation:1 berger:1 over:2 expects:1 course:1 through:2 nitrogen:2 helm:1 kinetic:1 avenue:1 its:7 fis:1 thank:2 acknowledge:1 susceptible:1 coordinates:1 li:1 detected:1 fig:21 zag:1 graphitic:1 main:3 into:1 return:1 introduce:1 band:3 effects:4 they:5 half:2 singularity:2 yu:1 2t:2 represents:1 february:1 several:1 dirac:4 university:2 hamiltonian:2 2d:1 λqp:1 simplified:1 ptdc:1 commonwealth:1 financial:1 directly:1 weight:1 series:1 energy:16 measurement:1 our:2 shown:8 unbound:1 impurity:40 space:6 interference:3 denotes:1 semiconductor:1 contained:1 braga:1 poci:1 ciˆencias:1 shows:6 theory:1 found:1 ısica:2 diagonal:2 departamento:2 completely:1 california:1 dopants:2 finite:1 onsite:1 created:1 motion:1 friedel:5 hence:1 ionic:1 first:1 dmr:1 symmetry:4 ignored:1 omitted:1 number:5 contributions:2 smaller:7 2a2:1 defects:1 another:2 2a1:1 thick:1 electronic:7 size:1 given:7 cartesian:1 sheet:1 reference:1 introduction:1 leading:1 top:4 system:5 smalley:1 intermediate:1 brevity:1 stephan:1 structures:1 gives:1 shifted:1 mostly:1 asymmetric:2 exactly:3 larger:4 part:1 than:5 modes:1 vozmediano:2 distance:1 65a:1 stm:3 namely:1 project:1 amplitude:9 iωn:13 7a:1 fullerenes:1 spectrum:4 tφ:1 ldos:13 occupied:1 any:3 oriented:1 potential:12 online:2 so:2 honeycomb:3 spectral:1 added:1 opposite:1 denominator:1 molecule:1 impurities:3 insets:1 most:1 measured:2 manifested:1 especially:1 minho:1 neighboring:2 electrons:3 clean:2 guinea:4 dos:3 left:6 physics:3 fact:2 signatures:1 intensity:6 show:1 supported:1 vacancy:5 find:2 knowledge:1 state:2 should:2 λpq:1 only:4 factor:2 local:11 do:2 de:4 overall:1 processes:2 gbb:5 g0k:6 arxiv:2 microscopy:2 double:1 analytical:2 g0p:4 uw:1 scanning:2 set:2 fascinating:1 rosengren:1 depends:1 radius:3 result:1 discussions:1 sen:1 surfaces:1 excitations:1 away:1 nature:3 sites:14 symmetric:1 written:3 between:3 graphite:2 guo:1 notice:1 terms:6 missing:1 originated:1 spectroscopic:1 lopes:1 carbon:13 suppressed:1 endo:1 both:3 conclusions:1 propagation:1 dated:1 contribution:3 gba:2 experimental:1 point:2 color:6 continuation:1 ca:1 corresponds:6 alone:1 decreases:1 cortijo:1 respect:1 unusual:1 described:1 basis:1 addition:1 come:1 due:1 been:6 describes:1 combined:1 boston:2 corresponding:1 quantities:1 gap:1 andrei:1 gab:3 present:1 case:11 disconnected:1 reciprocal:1 pacs:1 solid:1 straight:2 originate:1 appearance:1 value:4 employ:1 while:1 replaced:1 phy05:1 tunneling:2 bor:1 layer:1 studied:2 portugal:2 ip:2 overlooked:1 site:26 ii:1 vt:4 falko:1 affected:2 zhang:3 φp:1 different:1 grant:2 complex:1 φk:2 events:1 calculation:1 peaks:5 i0:1 numerical:2 effect:4 hand:1 v0:2 resonance:6 infinite:3 dopant:1 center:1 hopping:20 studies:2 modeled:4 well:3 incorporated:1 edge:2 comes:1 components:1 easily:1 position:1 usual:1 just:1 being:2 obtain:1 rest:1 bandwidth:1 underlying:1 atomic:7 world:1 λk:3 scattering:4 previous:1 han:1 density:4 5t:6 lattice:9 lett:11 riverside:1 hybridization:1 real:6 around:3 appreciated:1 porto:2 breaks:1 term:8 hove:6 using:2 highly:1 like:1 modifications:1 semi:1 particle:2 shaped:1 separately:1 δk:6 pereira:2 disorder:6 accessible:1 because:2 creation:1 back:1 understood:2 strongest:1 acad:1 b1:1 b2:1 oscillations:5 transport:1 specific:1 scale:1 bottom:3 extensively:1 ucsb:1 connecting:1 proc:1 reflection:1 agreement:1 broken:1 substituted:2 substitution:4 plots:3 properties:3 integers:1 actual:1 introduces:2 dependence:1 o:4 neighbor:7 act:2 slightly:1 salkola:1 homogeneous:1 rev:16 presence:5 previously:1 h0:2 integral:1 bound:2 nsf:2 three:3 right:5 operator:1 van:6 additional:2 support:1 there:2 transform:1 appl:3 low:3 way:1 was:3 function:2 hospitality:1 form:4 energies:3 but:4 properly:1 balatsky:1 nanotubes:1 atom:13 hb:1 line:8 level:1 absent:1 mtrl:1 cells:1 below:1 limit:2 spectroscopy:2 ωn:29 distribution:4 similar:1 strongly:2 terrones:2 ln:1 defined:1 certain:2 general:1 peres:4 dashed:2 single:1 sublattices:1 formalism:1 universidade:2 physical:1 functions:5 compared:1 no:2 na:1 whereas:1 nc:10 when:5 inset:4 sublattice:3 other:2 nat:1 spatial:2 department:2 yazyev:2 star:1 a1:8 a0:2 a2:8 bounded:1 peak:2 suppression:1 fermi:1 astronomy:1 gets:1 structure:1 matrix:2 assume:1 substitutional:4 na1:1
|
0705.3041.txt |@word gr:25 gg:2 wµ:2 gl:25 wº:1 bº:2 vtb:4 lb:3 sγ:2 γr:4 tt:19 had:3 tq:1 γi:1 δpt:1 lr:2 ls:2 γl:3 iσ:1 tb:23 non:2 gev:9 fr:17 entries:11 signal:1 arxiv:1 δe:1 ej:1 sin2:1 back:1 j2:1 eb:1 zz:2 zw:2 b¹:1 ri:2 lep:2 bw:3 bq:3 br:1 xº:1 cos:23 jet:1 o:15 f2l:1 f2r:2 a2:1 βa:2 xi:6 ℓb:1 pr:2 pp:1 hep:1 pt:17 ℓνb:3 pb:1 f1r:1 tj:1 ph:1 pi:2 log10:2 pl:2 oº:1 j1:1 πni:2 ǫb:1 mb:3 ρl:11 mt:6 mw:3 ρr:30 limit:4 dec:1 f0:14 f1:1 f2:1 vl:8 vr:35 az:3 dγ:1 qν:1 afb:9 aℓℓ:1 stat:8 sys:8 pjet:1 c¹:1 fc:2 fi:3 fl:15
|
0705.3042.txt |@word limited:1 crampton:2 luminosities:4 four:1 poorly:1 pedro:9 calculate:3 aug:1 under:2 characterised:1 updated:1 affect:5 cmb:1 viable:1 burke:2 falco:2 natarajan:8 pragmatic:1 consistent:6 estimates:3 elegant:1 likely:9 lacy:2 chen:1 qualitatively:1 10p:1 estimated:1 blue:12 established:1 errors:7 selected:6 q2237:1 cheng:2 new:19 increasing:3 cull:1 evolving:2 simultaneously:2 here:14 hundreds:3 richstone:1 reported:2 fairly:2 path:2 obtained:10 study:6 ignoring:1 permit:1 changes:1 cancellation:1 diameter:1 projection:6 explained:1 objectively:1 total:8 unit:1 narayan:6 plot:4 swings:1 would:4 negative:3 tabulated:1 discrepancies:1 therefore:13 robertson:1 type:14 populations:1 successful:2 mg:1 work:9 mu:3 era:1 my:1 example:1 indicated:2 give:3 cited:1 bennett:2 involve:2 indicates:3 walsh:3 reviewing:1 isothermal:5 feasible:1 absolute:5 end:1 recovery:6 provide:1 verify:1 travel:1 recovers:1 how:15 methodology:2 significance:1 description:1 replacing:1 earlier:3 law:3 parallel:1 constants:4 attempt:1 third:2 green:1 things:1 acknowledges:1 order:6 over:4 vary:1 fit:4 fix:2 better:4 differently:1 shear:2 versus:2 eventually:1 them:2 affected:3 effects:9 they:13 represents:2 brightness:2 chuck:1 magain:3 l35:1 reasonable:1 each:13 mean:4 evolve:3 combining:3 extract:1 quantify:6 crucial:1 re:3 golse:1 rh:10 turning:1 surveys:20 free:1 formation:3 estimate:2 saha:2 recovering:1 cosmic:1 ohler:1 incorporated:2 loud:1 already:2 grade:2 primary:1 restrict:1 adopted:1 enumerate:1 implicated:2 thick:5 clarity:1 illustrate:1 similarly:1 top:2 needed:3 too:1 tog:4 insightful:1 tool:1 wiklind:4 distance:1 target:1 surrounding:1 iteration:1 second:2 matter:2 tonry:4 treu:5 rewrite:2 corrigan:1 seen:6 magnified:1 relatively:2 traditionally:1 latter:3 isolated:2 2006a:1 2006b:1 even:6 exactly:1 object:1 optimized:1 steinhardt:2 unmeasured:2 assessed:1 incomplete:21 calculated:2 inferred:6 coppi:1 points:1 principle:1 dot:6 silber:1 lewis:1 random:1 implying:1 radii:4 radio:7 stepping:1 substituting:2 just:1 adequate:1 zγ:1 dn:3 do:7 dl:6 above:7 de:1 dz:11 despite:1 dr:1 ds:11 pearson:1 acknowledgments:1 analytical:1 implication:1 reference:2 sensitivity:9 observed:11 depends:5 radius:15 result:3 discussions:1 limiting:1 best:1 techniques:1 exponent:1 inappropriate:1 cosmologies:1 artificial:1 catalogue:2 unable:1 drawn:2 shaver:1 approach:4 discovery:2 terms:1 nature:4 weak:2 ignorance:1 harvard:1 contamination:1 picking:1 suggested:2 lensed:5 uncertainty:2 colloquium:1 planned:2 variance:1 argue:1 lenses:82 con:1 basis:2 observing:1 three:5 been:9 extraction:1 much:2 expected:5 huchra:2 life:3 efficacy:2 krauss:2 applied:2 remy:2 near:4 womble:1 procedure:2 hewitt:1 analyses:1 iv:3 ii:5 ia:1 confirmed:6 circumventing:1 suggest:2 make:1 potentially:1 several:12 independent:2 satellite:1 nim:1 centred:1 maximizing:1 failing:1 quoted:2 quasar:3 tabulating:1 glikman:1 previous:3 adding:2 had:1 easy:1 evidenced:1 insensitive:1 gregg:5 bands:1 possible:2 possibly:1 background:2 steps:1 vdf:4 www:1 deal:1 truncated:2 relax:1 j2000:2 usher:1 mcleod:1 bottom:1 normal:6 comments:3 hst:9 properties:7 proceed:2 limitation:2 o:33 plus:1 mahoney:1 slightly:6 contains:3 presence:2 dinshaw:1 down:2 lies:1 smette:1 parametrizations:1 conservation:1 fraction:5 brotherton:1 was:13 lowest:6 bartelmann:4 medium:1 form:4 offer:1 becoming:1 converse:1 denoting:1 31st:1 removed:3 true:6 versions:1 maximum:11 discarding:6 simplifying:1 ratnatunga:4 panels:3 soifer:1 later:2 earlytype:1 computing:2 abstract:1 proven:1 simulations:2 distributions:10 koehler:1 constructed:3 marking:1 nl:4 nm:3 dotted:4 no:12 whereas:4 nc:5 when:9 lidman:2 setting:1 role:2 ambitious:1 test:56 nu:7 models:6 uniformly:3 miscellaneous:3 assume:3 proposed:2 deflector:2 dσ:3 together:1 time:5 serious:1 concept:1 iovino:1 varying:3 primed:1 computation:1 morphology:1 certainly:1 depend:2 technique:4 environment:2 finally:7 determinations:1 marks:4 brown:1 advantage:1 choice:5 presented:3 did:2 turns:1 skewed:8 leave:1 yale:4 upper:8 mn:1 illustrating:1 l91:1 riess:2 trend:3 pmn:1 targets:2 substitute:1 appear:5 ostrander:3 favour:1 current:4 international:1 realizations:2 agreement:6 groups:1 address:1 liege:1 along:6 appears:1 change:1 box:2 dusty:1 shift:1 cetty:1 spheres:4 myers:6 studies:5 plotted:4 lowers:1 emerge:1 useful:2 griffiths:3 marked:1 traversing:1 pushes:1 prove:1 positive:3 going:2 criteria:1 theoretical:1 today:1 appendix:9 virtue:2 cases:3 impey:1 unbiased:2 combe:1 values:40 following:6 making:3 dedicated:1 figure:10 sample:145 performed:2 discussion:2 s0:11 write:1 lehar:4 optimal:2 parameter:14 map:1 sluse:3 may:1 applications:1 date:1 data:12 outline:1 ss:1 explicit:1 cosmology:14 so:2 sn:2 castander:1 typical:1 pointed:2 mainly:2 argues:1 course:1 statistical:3 cuts:3 argued:2 christlieb:1 still:2 observational:10 derive:1 group:1 thank:1 vicinity:1 decreases:1 gto:1 forms:2 constitutes:1 mail:2 non:2 thereby:2 introduce:2 scaling:1 compelled:1 noz:3 half:2 now:14 halo:1 name:4 arrows:2 luminosity:11 entirely:1 em:1 nick:1 qz:1 significantly:5 gaussian:2 astrophysical:1 approximated:1 emerges:1 shown:20 jackson:8 factors:1 increase:1 investigation:1 suggesting:1 correct:1 shows:1 after:4 theory:1 quite:3 orm:35 complicated:1 besides:1 seventy:2 gott:2 derivation:1 turn:2 place:1 massive:3 first:10 spergel:2 variables:2 nested:5 comprises:1 ring:2 angular:7 size:5 1p:1 given:16 kochanek:19 fortuitous:1 types:1 white:4 williams:2 gives:5 inefficient:1 mostly:1 accurately:1 oguri:7 than:15 intrinsically:1 population:4 l43:1 effective:1 require:1 modelled:1 future:10 were:8 say:1 turner:3 recover:2 any:3 efficient:1 note:14 potential:3 take:3 observationally:1 winn:6 multiple:5 opposite:1 arguing:1 printed:1 successive:1 multiply:1 latex:1 especially:1 surprising:1 considered:5 average:4 adopt:1 bade:1 typically:4 quantity:3 slope:1 show:4 discovered:8 bright:2 threshold:1 fifth:1 ground:3 ratio:4 proportion:4 analytic:1 only:12 explicitly:2 black:8 narrows:1 get:1 morphological:1 truly:1 2002a:1 nearly:1 dye:1 median:5 yield:2 imposing:2 relative:1 ignores:1 detect:1 ways:1 review:1 enough:1 between:15 affecting:1 2002b:1 notice:1 vertical:2 courbin:4 come:1 lopez:2 missions:1 σm:2 many:6 σa:3 according:1 expression:1 nearby:3 generalisation:1 sampling:6 werner:1 f160w:1 moreover:4 considering:1 peng:1 absence:2 sheth:6 combined:3 armus:1 fig:19 enable:1 observe:1 external:2 careful:2 former:2 those:2 case:11 subsample:7 orientation:1 eran:1 metric:1 dubious:1 comoving:4 cluster:2 incompleteness:3 worry:1 binary:1 different:12 develop:1 same:4 shifts:7 html:1 physical:1 events:2 status:2 extended:2 constraining:4 lute:1 culled:1 relies:1 minimize:2 components:1 dashed:14 model:24 otherwise:1 being:3 sampled:2 grouped:1 except:1 improvement:1 versa:1 around:1 readhead:2 dark:2 grid:1 using:43 accepted:2 reduces:1 faber:8 discarded:1 either:9 imaged:1 fixing:7 eigenbrod:6 respect:5 images:3 provided:1 confirm:1 maoz:11 critical:14 provides:3 kristian:1 biased:17 assembly:1 power:3 notable:3 biases:8 comparison:5 central:4 discussed:1 perturbers:2 estimator:2 johnston:2 inclusion:1 instruments:2 image:26 references:4 determine:4 einstein:2 speculated:1 your:2 area:1 normalised:3 removing:1 there:7 dispersion:41 encounters:1 low:5 stars:1 complete:13 amongst:1 sophisticated:1 mnras:11 b0218:3 applying:3 default:1 beckmann:1 robustness:3 ωk:13 ωm:11 skews:1 agree:1 strongly:1 certain:1 describe:1 deep:2 resultant:1 ap:1 examine:2 ar:1 file:1 moves:1 again:6 completeness:2 ideally:2 field:3 lsst:2 you:1 poor:2 moller:1 includes:3 deriving:1 important:1 peak:14 included:8 l62:1 curve:3 mass:19 restricted:1 resolution:1 monte:6 consider:3 caused:1 lack:2 thoughtful:1 moustakas:2 follow:2 causes:2 tail:2 belonging:1 mpc:3 very:14 ostriker:4 dispersions:5 fall:1 4er:1 difference:4 list:4 large:24 small:9 becker:4 employing:1 ten:1 past:2 zero:4 further:7 wmap:1 gunn:1 what:4 section:13 version:1 method:17 contrast:3 unsurprisingly:1 full:8 compilation:1 component:1 directions:1 strong:15 equations:7 allows:1 prior:1 pick:2 helps:1 via:1 hogg:3 burud:4 takes:1 faint:3 rightmost:1 comparing:2 magnification:5 taken:3 more:14 flat:7 emission:3 particular:4 known:4 keeping:2 strain:1 equation:13 bias:20 morgan:7 dec:2 compare:4 cosmological:41 stated:2 sphere:1 numbers:6 exclude:2 axis:6 information:23 colless:2 rather:5 utilize:1 browne:2 ensemble:2 jahnke:1 derived:6 reflect:1 plane:3 fe:15 derives:1 short:1 bradt:1 spectra:1 retrieval:3 ege:1 paper:6 through:2 signs:1 existence:1 suffer:1 its:4 style:1 l73:1 actually:2 late:6 detected:2 systems:78 differed:1 might:2 alter:1 good:7 propose:1 easily:1 finite:2 hereafter:5 2r:3 level:1 2e:1 westphal:1 found:10 q0957:1 referred:1 catalogues:2 reduce:1 measurement:4 j1004:1 langston:3 dominates:1 chaffee:1 since:7 denoted:1 induced:2 issue:2 lawrence:6 dressler:1 reason:1 imaging:5 eisenhardt:2 matthews:1 combes:3 curtailed:1 anchez:1 consequence:3 assign:3 probability:17 prevent:1 feel:1 relate:2 number:38 enlarged:2 done:2 differ:3 introduction:1 leading:2 construct:3 assumption:3 wisotzki:11 calculations:4 hundred:4 recovered:4 observations:7 shifted:1 para:1 optical:16 authors:1 double:1 ranging:1 determined:9 toward:7 randomly:3 quasars:4 lie:1 robustly:1 relationship:1 carlo:6 astronomia:1 revista:1 finding:1 play:1 most:5 significant:5 comparisons:1 measured:13 l103:1 clear:3 km:19 exp:8 velocity:45 physics:1 particularly:1 accuracies:2 cdt:1 relation:9 find:14 impact:2 parameters:53 distributed:1 subsection:1 factor:2 columns:2 dominant:1 notation:1 compiled:1 during:2 arxiv:1 remove:2 investigate:5 bars:7 set:12 sep:1 plausible:1 ara:1 see:4 individual:2 close:3 soucail:1 contour:1 probable:1 currently:4 foltz:2 smallest:1 various:8 conditions:1 available:7 recently:1 creating:2 complementary:1 targeted:5 spectroscopic:2 relying:1 both:11 improved:2 sensitive:4 meylan:3 point:4 simple:1 corresponds:1 harbour:1 prieto:1 homogeneously:1 simply:3 fibres:1 described:1 helfand:2 discriminant:1 create:1 due:13 strategy:3 refsdal:2 ph:7 pi:1 pn:1 generating:1 samples:26 precision:2 modelling:1 determination:5 systematic:14 handling:1 look:1 exponential:1 solid:9 reliable:1 expanded:1 empirical:1 evaluated:2 while:5 microlensing:1 error:9 mitchell:3 computed:2 rix:6 marginalise:1 apjs:1 apjl:2 rusin:4 belong:1 widely:1 conflict:1 higher:13 used:16 levels:2 robust:12 circumvented:1 recent:3 early:9 lower:12 database:1 analysis:20 obviously:1 consistency:1 parametric:1 distances:1 ellipticals:3 subsamples:9 shape:2 plagued:1 questions:1 profitable:1 tables:1 cut:5 conclusions:2 source:35 location:1 snap:2 input:3 remaining:3 lacking:1 showing:1 game:1 quest:1 formal:1 imposed:1 systematically:3 follows:2 signal:1 ignore:2 flux:4 yields:2 summarise:1 methods:4 some:3 understood:1 strongest:1 sight:1 k92:10 ourselves:1 scale:1 affects:1 per:1 2dfgrs:1 leftmost:1 proc:1 reddest:1 aj:22 use:14 stem:1 plots:1 relating:1 unconfirmed:2 constraint:1 simulation:1 range:6 reimers:6 consequently:4 cutoff:1 into:4 within:7 integral:3 locus:2 lensing:48 primarily:5 uncertainties:2 statistics:12 span:1 retrieving:1 dalal:3 placing:1 question:1 long:1 tally:1 line:11 paolo:1 uz:1 characteristic:15 up:4 us:3 un:2 schechter:12 similar:5 uc:10 constant:14 chae:4 redshifts:18 single:4 formalism:1 defines:1 friedmann:2 priors:1 application:1 department:2 sykes:2 mock:12 clean:2 calculating:1 astrofisica:1 helpful:1 lens:131 generated:3 fisher:3 structure:2 pointings:1 vice:1 required:3 depth:11 neighbouring:1 fitted:1 walker:1 having:3 once:5 illustrates:2 results:27 existing:1 illustrated:2 edu:3 go:1 serendipitously:2 issues:1 vdfs:1 young:2 contours:12 excluded:2 cdm:2 include:6 dramatically:2 indicating:1 probe:1 wave:1 categories:1 jvas:1 entire:6 positions:3 fewer:1 try:1 noted:1 zl:14 castles:6 smaller:5 cfa:1 concludes:1 incidentally:1 replicated:1 zp:4 zs:13 index:4 showcase:1 assisted:3 led:1 degree:2 leh:1 respectively:7 explore:2 objects:1 focused:1 separation:33 webster:1 l29:2 extreme:4 larger:19 preferentially:1 survey:14 makes:1 apj:21 decrease:1 apply:4 k96:6 confidence:8 asymptotic:1 next:1 examination:1 kundi:1 upcoming:1 becomes:1 iii:3 account:1 reproduce:2 obvious:1 thin:9 scatter:4 calculation:3 purposes:2 high:6 assumptions:3 sought:1 sis:3 varied:1 marginalising:1 varies:1 burles:2 elliptical:6 instead:2 profile:2 harding:1 singular:4 b1600:1 kneib:3 discard:1 fits:3 b1933:1 computations:2 light:3 lines:21 element:1 allow:2 vanderriest:1 interpreted:1 including:3 galaxy:60 warren:2 positional:1 revived:1 masses:3 redshift:93 li:1 hjorth:2 choose:1 orange:4 clusters:1 defining:4 greater:1 outlined:1 cutting:1 b1422:1 february:1 2er:2 university:2 fassnacht:4 mode:6 shortage:1 constraints:24 statis:1 elston:1 constitute:1 measure:3 our:50 out:4 category:1 b1608:1 behaviours:1 favours:1 maximized:1 red:7 ofek:5 tully:3 retrieved:2 galaxies:57 york:3 trends:1 likelihood:40 hubble:2 geometry:2 determining:1 could:4 times:2 assumed:4 hence:1 irwin:1 manuscript:1 powerful:3 improvements:1 l31:1 l38:1 aperture:1 observer:1 unknown:1 system:6 relations:2 πr:1 their:15 nebular:1 final:2 completed:1 shallow:3 lists:1 haven:2 dynamical:1 discriminating:1 amplitude:1 stricter:1 slacs:18 bet:3 shrinks:1 hagen:2 separations:28 cohen:6 curves:2 need:4 clearly:17 lubin:2 robertsonwalker:1 instance:3 incorporating:1 accuracy:3 unless:1 centre:1 eight:1 class:8 astro:9 veron:1 consequences:1 stronger:1 deflectors:1 snapshot:3 artificially:1 constrain:9 obscuration:1 fact:8 selection:15 dτ:12 based:12 knowledge:2 should:4 brighter:1 candidates:9 arcseconds:1 employed:1 thousands:3 perlmutter:2 handle:2 means:3 overall:1 ones:4 words:1 evolution:68 numerous:1 differential:9 comprising:3 hewett:3 fixed:6 view:1 intervening:1 multiplying:1 constructing:1 systematics:1 luminous:1 carswell:2 statistically:1 mexicana:1 pattern:1 tend:1 dls:11 initially:1 written:1 progress:3 variability:1 comparable:4 mg0414:1 however:10 key:6 limits:2 taking:1 attributed:1 figures:1 blandford:7 detailed:2 relevant:1 conclude:2 cf:1 environments:2 cd:1 table:10 narrowed:1 ct:2 addition:2 decent:1 thanked:1 define:1 arises:2 corresponding:7 sorensen:1 keeton:9 finished:1 hamburg:1 last:1 general:1 present:7 augusto:2 value:42 will:10 discoveries:8 neugebauer:2 almost:2 surdej:4 thus:2 surface:7 vs:2 cross:7 unity:1 largest:9 fks:1 difficult:2 http:1 koopmans:4 effect:10 parametrized:1 v2:1 dust:3 tighter:1 frieman:1 numbered:2 concordance:1 well:16 claeskens:2 sets:1 position:5 arising:3 drawing:1 less:1 increasingly:2 obtain:18 sources:3 underlying:6 distant:1 predicts:1 uller:1 preprint:7 density:9 sky:1 mathematically:1 reasons:1 add:2 attractive:1 ought:4 identical:2 tics:1 increased:1 patnaik:2 devised:1 normalise:2 weymann:4 increases:2 five:1 like:3 success:1 alternatively:1 extremely:3 pg1115:1 δl:5 lose:1 underestimation:1 barkana:2 therein:1 because:4 smoothly:1 choosing:1 demonstrates:1 overlap:2 does:8 assuming:6 eso:2 sdss:41 limitations:1 noise:1 l1:1 stellar:2 although:8 approximating:1 panel:14 a1:90 about:2 actual:1 column:2 universe:9 dependence:5 a2:35 insufficient:1 introduced:6 software:1 letters:1 previously:1 h0:2 functional:4 assess:2 chris:1 additional:4 log10:4 maza:4 naturally:1 function:29 but:5 histogram:3 volume:2 repeated:2 hierarchical:1 contradictory:2 highest:6 made:2 compute:4 whether:1 wish:1 gravitational:9 below:2 converted:1 limit:10 ruling:1 demonstrate:2 distribution:37 discriminate:1 strengthens:1 intersects:1 contribute:1 denote:2 relates:1 functions:2 compared:13 calibration:1 detail:3 other:6 predominant:1 conclusion:1 variation:1 astronomy:1 searches:1 bolton:8 space:1 understand:1 4e:2
|
0705.3043.txt |@word limited:1 lagrangian:2 four:8 localized:5 poorly:1 whose:6 const:4 calculate:1 γr:2 posteriori:1 under:8 worth:1 divergent:1 conjecture:1 rise:1 every:1 figs:1 summarized:1 affect:2 lefthand:1 solution:52 leith:1 indices:1 force:1 hori:1 consistent:2 rouet:1 direct:7 aip:2 approximation:8 second:16 chen:4 qualitatively:1 panda:3 even:9 incompatible:1 above:10 new:9 increasing:3 coefficient:3 evanescent:1 here:12 reported:1 represented:2 path:2 auxiliary:5 interpret:1 obtained:1 study:5 aki:1 stressed:1 advantages:1 suitable:2 spacetime:5 mota:2 explained:4 highly:1 visible:1 tp:10 total:3 derivatives:9 would:23 negative:5 substitutions:2 mation:1 call:2 therefore:2 spike:2 robertson:2 shandera:1 assessment:1 ward:1 hold:1 must:3 obeying:1 permits:1 setup:2 work:1 rθ:1 lukas:2 theories:4 example:5 renormalization:2 indicated:1 give:1 indicates:2 αdr:1 want:1 validated:1 toleading:2 provide:1 verify:3 feature:2 recovers:2 far:2 methodology:1 fourdimensional:1 description:2 after:3 santos:1 davis:1 wrong:1 adic:5 lay:1 summarize:1 law:7 parallel:1 constants:6 attempt:1 effective:15 chern:1 greek:1 maintain:1 green:4 correlation:1 order:28 interpretation:1 over:1 satisfied:2 london:1 resummed:1 satisfies:4 before:3 kofman:4 fix:1 fig:3 overcome:1 eventually:4 them:5 combination:5 break:1 bang:3 they:3 singularity:1 eigenvalue:4 classified:1 backgrounds:2 koshelev:3 each:4 went:1 side:8 carlos:1 lifted:1 series:55 contracting:1 literature:4 combining:1 ghosts:1 damped:1 rs:3 quantify:1 crucial:1 content:2 fellowship:1 adjust:1 reader:3 rn:2 rk:1 abbott:1 linear:12 abramowitz:1 free:4 standard:10 admits:3 starts:1 cosmic:1 quintessence:1 signature:1 corrections:1 go2:2 already:5 features:3 tachyon:21 nonperturbative:3 another:10 thick:4 electronic:3 toy:1 eqs:13 eqr:2 approximately:1 perturbations:4 observations:1 variational:1 subleading:1 b336:1 abandoning:1 covariantly:1 target:1 gabor:3 approximations:2 bergshoeff:1 regulator:1 matter:6 classes:1 tion:1 powers:7 perturbative:3 ram:1 spectrum:4 seen:1 seem:4 forced:1 genuine:1 b244:1 convenient:2 latter:6 absorbed:2 bruck:2 shall:7 tye:2 simplify:1 regular:1 phase:5 assessed:1 marie:1 koyama:1 calculated:7 clock:1 inferred:3 curie:1 points:1 principle:2 sum:3 incomplete:3 dover:1 incorporate:1 probe:1 implying:1 solutions:65 tempted:1 d2:1 d0:1 make:1 proposed:4 implementation:1 situations:1 specify:2 dn:1 do:11 dm:1 dj:1 cheng:1 localizing:1 di:7 mascheroni:1 dd:2 de:11 fluid:1 dz:2 reversal:2 dt:4 du:1 ds:12 fields:10 µ2n:2 acknowledgments:1 nν:5 transforms:1 mandatory:3 testing:1 depends:3 decided:1 radius:1 result:7 discussions:1 dµ:7 best:2 subject:2 said:2 tensor:6 µt:8 wikipedia:1 cosmologies:2 yet:2 bucher:1 disprove:1 regge:1 conceptual:1 approach:4 terms:13 extend:3 nature:2 component:1 vernov:1 however:10 huang:1 wx:1 ill:2 4h0:1 variance:1 contribution:5 inflaton:1 tong:2 appeared:1 height:1 unprotected:1 polynomial:9 highenergy:1 conference:1 forini:1 basis:2 three:4 been:10 much:3 frw:11 interest:3 expected:1 dynamically:1 supersymmetric:2 quantities:1 confinement:1 5d:2 θr:1 worked:2 applied:4 exception:2 minkowskian:1 resummation:1 nski:3 transformation:1 aim:1 near:3 viii:4 property:6 procedure:4 ix:3 phenomenological:10 iv:6 ii:6 im:1 conf:1 confirmed:2 perform:1 realizing:1 ırez:1 th0:2 complex:2 big:3 avoids:1 several:6 erdelyi:1 european:1 independent:8 numerical:2 hand:10 potentials:4 felder:1 normalization:2 scenario:2 changes:1 academic:1 quantitative:1 left:8 yeh:1 just:3 thanks:4 eigenstates:6 candidate:2 infinitely:3 regarded:2 ohmori:1 iπ:1 gave:1 rescaled:1 sussex:2 possible:8 background:15 gianluca:1 unique:1 appearing:1 bn1:1 specific:2 bps:1 steps:1 arbitrary:5 notorious:1 kiritsis:1 right:9 truncated:10 truncates:1 born:1 escape:2 separately:1 companions:1 microwave:1 unstable:2 particular:13 confluent:4 disappeared:1 powerlaw:2 substitution:2 rectly:1 post:2 super:1 properties:5 takes:1 o:10 constituting:1 slightly:1 automatically:1 considerations:1 raised:1 statements:1 presence:2 gradshteyn:1 chooses:1 down:1 lies:1 neumann:1 unambiguous:1 moeller:2 support:1 initial:12 available:1 transform:11 class:5 sitter:4 way:8 was:3 lowest:4 form:13 simplifications:1 heal:1 m2:35 denoting:1 failure:1 heat:6 true:1 absent:1 cosmol:9 versions:1 type:7 welldefined:1 adopt:2 computing:1 proven:1 convergent:7 conserved:1 guessed:1 exist:2 check:5 constructed:4 dotted:5 no:15 generally:1 vanishes:6 interested:1 test:1 roll:10 superposition:3 truncate:2 models:9 ξr:4 eyras:1 rolling:2 regime:5 assume:1 together:2 charmousis:1 time:23 observables:1 silverstein:2 precise:1 remarkable:1 switched:1 global:1 mild:1 computation:6 certainly:1 inverse:1 depend:3 lucchin:1 finally:2 compensate:1 string:32 advantage:2 zhang:2 synchronous:1 unfamiliar:1 choice:5 nonminimal:1 exact:13 level:8 did:1 sundrum:5 nondynamical:1 proposals:1 discrete:1 recall:1 upper:2 findings:1 braneworld:21 sign:5 becchi:1 tetradis:3 gibbons:2 appear:1 international:1 falling:3 satisfy:1 address:3 change:1 shift:3 studied:7 usually:1 hospitality:1 conveniently:2 digamma:2 studies:1 nmax:1 emerge:1 spatially:1 extra:8 problematic:1 compare:3 parma:1 langlois:3 planck:1 baumann:1 covariant:6 positive:3 predictions:1 hilbert:1 scenarios:5 live:2 memory:1 scope:1 associated:3 theoretical:2 liddle:2 subcases:1 acceptable:1 validity:1 eν:1 appendix:6 everywhere:2 virtue:2 cases:12 effort:2 insights:1 valued:1 oscillator:1 modified:4 reviews:1 barnaby:2 cai:1 fock:1 values:8 hope:1 following:5 making:1 brescia:1 figure:1 expanding:5 dxi:2 allowed:2 unphysical:1 rescaling:2 requirements:1 discussion:8 write:6 criterion:1 pure:2 axis:1 parameter:20 astropart:9 product:6 may:13 residues:1 explored:1 hoc:1 sz:1 stress:1 natural:5 dynamical:7 sectors:1 sr:9 sq:1 yielding:1 cosmology:10 so:18 representation:9 increase:2 prefactor:1 indeed:1 mainly:1 stability:2 course:1 differs:1 still:8 how:2 interesting:4 nontrivial:8 decreased:1 main:6 formulæ:4 non:2 matches:1 hamilton:1 now:6 discuss:2 developments:1 matched:1 term:23 deffayet:2 servant:1 possibilities:1 realistic:2 instabilities:2 lidsey:3 domain:4 square:2 fixes:1 hypergeometric:9 inhomogeneous:1 ez:7 approximated:3 eq:63 er:11 living:1 ultimately:1 space:7 kummer:8 squared:1 looking:3 contained:1 investigation:2 formula:8 viable:3 shows:2 theory:12 fisica:2 possibility:5 complicated:2 org:1 derivation:2 βr:3 b696:1 impose:1 motion:36 first:28 origin:5 simplifies:1 variables:2 approximate:6 simplified:2 directly:3 open:10 xu:1 given:16 necessarily:2 checked:5 indicate:3 speaking:1 gives:3 inefficient:1 ryzhik:1 continuous:1 than:6 coefficients:11 connections:1 third:3 require:2 future:2 were:1 rubakov:1 michele:1 argument:2 generalization:1 ans:1 any:14 note:7 potential:24 take:2 online:1 modulus:1 formulas:1 multiple:1 price:1 caustics:2 koivisto:2 fails:1 algebraic:4 invoked:2 analytically:4 eigenfunctions:3 considered:6 later:1 slope:2 show:3 recipe:1 friction:2 frolov:1 hindmarsh:1 tend:1 slow:11 ratio:1 aφ:2 state:1 analytic:10 only:32 explicitly:3 equipped:1 boyle:1 brekke:1 get:12 samuel:2 fν:3 cannot:9 progress:1 khrennikov:1 grojean:1 yield:1 summary:1 2πi:1 collegato:2 choudhury:1 wiki:1 kernel:5 thesis:1 ricci:1 imposing:2 relative:3 namely:1 unaltered:1 nonlocality:5 αq:1 αs:1 αr:2 αu:1 commutation:2 ways:2 avenue:1 review:2 outside:3 between:5 seery:1 notice:3 useful:1 legitimacy:1 undermine:1 kamimura:2 tractable:1 reinterpreted:1 many:3 region:7 according:3 σe:1 dated:1 expression:3 among:2 overview:2 period:1 alembertian:9 cancel:1 moreover:3 considers:1 considering:4 sensible:1 eβr:7 mart:1 wants:1 relations:3 ınez:1 noncommutative:1 evidence:2 those:8 case:48 trick:1 promising:2 cancelled:2 situation:1 unsatisfactory:1 coupled:1 determination:1 metric:7 comoving:1 contract:1 different:6 verified:1 author:1 pay:1 formulations:1 same:9 arguments:1 kofinas:1 defines:2 trivially:2 siegel:1 φloc:6 relies:2 eventual:1 traded:1 without:2 solve:5 fixing:1 coordinate:3 model:12 otherwise:1 dimension:1 justify:1 being:4 when:33 ostrogradski:1 rest:1 infeld:1 cease:1 aspect:2 speed:1 heuristic:1 seems:2 except:6 setting:2 treatment:4 continuation:2 eigenstate:1 momentum:4 kingdom:1 aspects:1 eigenfunction:2 rules:1 sums:1 early:12 inflation:8 vives:1 vacuum:5 using:6 mod:2 brandenberger:2 particle:4 reduces:4 6h0:1 benefit:2 either:6 integrals:2 always:4 tower:2 reduced:1 satisfactory:1 csft:8 table:1 matching:1 provided:1 dimensions:10 bento:2 extensively:1 bessel:1 o2:13 o1:8 refer:1 power:12 equivalent:2 inspect:1 eiπ:4 2n:10 brighton:1 comparison:4 thomas:1 oi:6 discussed:4 obeys:2 act:1 jν:6 perturbed:1 follows:3 numerically:3 variable:5 references:1 determine:1 einstein:1 operator:26 aref:7 hep:72 assumed:3 strictly:1 there:25 brute:1 start:2 b584:1 italia:3 low:1 resum:1 equated:1 assumes:1 improved:1 embedded:1 minkowski:11 embed:1 detailed:2 ac:1 taylor:3 ad:1 certain:1 describe:2 deep:1 general:16 educated:1 formulation:4 intra:1 again:5 noninteger:2 d2t:1 tight:1 valid:4 spatial:2 symbol:1 vertex:1 includes:1 deriving:1 a2:1 matarrese:1 giryavets:1 conclusive:1 curve:11 mass:6 original:4 represent:1 gaussianities:1 consider:9 scalar:28 commute:1 generalize:1 c2:10 expressions:1 weierstrass:3 roo:1 nonlocal:71 tn:2 program:1 th:67 tyutin:1 subtleties:1 straightforward:3 very:7 conjectured:1 garousi:3 parry:1 witten:3 difference:2 condition:9 hamiltonian:4 t4:1 t2:4 t1:4 large:14 bypassed:1 small:6 past:2 zero:1 perspective:2 further:1 promotes:1 canonical:1 what:4 brackets:2 section:4 thickness:1 version:2 gi:5 instantonic:1 method:9 edited:2 full:4 backreaction:1 modify:2 b268:1 behaviour:7 ansatz:9 relaxation:1 directions:2 equations:42 almost:1 inspired:1 allows:4 action:13 specialize:1 options:1 uniquely:1 via:17 requiring:1 vii:7 put:1 proceed:1 contains:3 comparing:1 nucl:10 ψi:8 ψn:3 taken:3 more:8 flat:1 tsujikawa:2 operators:7 tested:1 stick:1 varying:1 known:5 evolves:1 none:1 quantized:2 science:1 equation:73 could:2 abandon:1 dec:1 history:1 f1:10 f2:10 cosmological:14 ds2:1 neglected:3 states:4 minimum:1 numbers:2 cubic:7 sense:2 firmly:1 copeland:1 needs:1 rather:2 acts:1 larsen:1 cline:4 explains:1 simplicity:2 inflationary:6 derived:2 sami:5 ζr:3 fi:1 unitn:1 spectra:2 secs:2 negligible:1 fundamental:1 chingangbam:1 developed:2 soon:1 attitude:1 paper:6 through:2 kinetic:5 excitations:1 its:15 energies:3 solving:1 starobinsky:2 actually:2 late:8 systems:7 jacobi:1 might:6 yi:1 freund:2 good:1 ya:7 propose:1 noticing:2 framework:2 yu:2 easily:2 gets:7 2r:10 fully:1 presented:1 2e:1 turns:1 found:12 universit:3 2j:2 referred:2 energy:28 reduce:1 carvalho:1 terning:1 expect:1 quantum:4 inspections:1 beyond:1 mcallister:1 solved:10 since:10 parametrizing:1 research:4 acting:3 hill:1 issue:3 tomaras:1 2h0:2 reason:2 base:1 ask:1 randall:5 beginning:1 generate:1 definition:5 eventuality:1 recast:2 caption:2 consequence:1 dipartimento:2 graesser:1 number:11 instances:2 done:6 neglects:1 guess:1 perturbation:3 introduction:1 leading:3 construct:1 assumption:1 calculations:1 dt2:1 stora:1 scheme:2 recovered:2 too:1 statement:1 part:5 authors:1 translation:3 modes:5 diffusion:17 kind:10 determines:3 double:1 kink:1 freud:1 recording:1 determined:3 latetime:1 treated:1 conjugate:2 generalizes:2 built:1 depending:2 lim:2 self:2 generalized:4 finding:3 bsft:2 play:1 towards:1 resumming:1 bateman:1 most:3 nothing:1 extremely:1 tν:5 tθ:15 clear:1 sometimes:1 wasserman:1 exp:3 volovich:3 reheat:1 physics:6 sector:3 paul:1 dufaux:1 particularly:1 converge:3 relation:4 fine:2 find:14 parameters:18 gomis:2 factor:9 oscillate:1 stegun:1 dominant:2 notation:5 spurious:2 actions:3 combinations:2 during:4 maartens:1 arxiv:83 alishahiha:1 set:16 achieved:1 see:14 sec:13 close:3 forthcoming:1 contour:3 project:1 hiramatsu:1 lowered:1 conditions:8 knowing:1 recently:2 complementary:1 both:9 last:5 grignani:1 sopuerta:1 quantization:3 sensitive:1 connection:1 context:1 whole:2 finds:1 arbitrarily:1 point:8 simple:4 lagrangians:1 asymptotically:2 corresponds:6 community:1 dimensional:4 superstring:1 simply:1 throughout:1 neupane:1 described:5 lutions:1 due:1 strategy:1 describes:1 ph:13 territory:1 pn:1 empty:3 lett:16 lives:4 systematic:2 p2:1 bφ:1 handling:1 look:3 exponential:10 pacs:1 solid:11 while:34 replaced:1 piao:1 real:12 reads:4 itself:2 vanish:2 around:4 mediating:1 lengthy:1 twofold:1 belong:2 widely:2 modification:1 products:1 higher:7 used:7 huston:1 moment:2 appreciable:1 necessity:1 robust:1 recent:2 dark:3 lower:2 task:1 analysis:3 rakic:1 concrete:1 consistency:2 exponentials:2 reviewed:1 shape:3 intervals:1 plagued:1 regardless:1 alternative:1 letting:1 tables:2 cut:2 guaranteed:3 shortcut:1 source:1 rˆole:2 relevance:2 remaining:1 euler:1 bin:3 phenomenology:1 couple:1 quest:1 integer:1 tunings:1 helpful:2 modifications:1 systematically:1 confront:2 manifest:1 ignore:1 collect:1 continue:2 yields:1 translated:3 mcgraw:1 pointwise:1 mathematical:4 methods:4 some:18 understood:2 examples:6 oscillations:2 universes:1 ourselves:1 scale:12 describing:1 affects:1 integration:4 behave:1 tends:2 proc:1 minimal:2 run:1 bn:10 confidence:1 step:6 bw:8 relating:1 dictated:1 giuseppe:1 integers:1 concretely:1 constraint:1 reappear:1 range:1 consequently:2 gamma:2 accessible:1 computational:2 calcagni:9 into:16 within:1 integral:16 retaining:1 proportional:2 reabsorbed:1 few:1 u1:2 u0:26 long:3 u2:1 pochhammer:1 handbook:1 ghoshal:1 translate:1 considerably:1 gauss:6 sde:3 underlined:1 link:1 line:4 collapses:2 infn:2 intuitive:1 uu:1 characteristic:3 up:4 us:3 uk:1 similar:1 called:3 constant:15 defined:19 globally:1 qureshi:1 formalism:10 aφ2:1 steeper:1 friedmann:16 dashed:5 priori:1 bℓ:5 department:2 calculating:1 problems:6 meaning:2 allowing:1 suppression:1 structure:1 slowroll:1 algorithm:1 required:4 notion:1 implied:1 presenting:1 walker:2 rigid:1 requires:1 having:1 once:1 gr:1 jatkar:1 results:11 bφ2:1 gb:4 go:3 issues:3 excluded:1 stable:2 indicating:1 ingredient:1 g2:7 g1:6 isomorphism:1 continued:1 wipe:1 3h0:21 eva:7 try:1 dealt:1 manifestly:1 eigenvalues:1 zk:2 imply:2 dynamics:5 odd:2 wands:1 invertible:1 giving:2 sorbo:1 3p:1 expressed:2 consistently:3 3h:1 poles:2 renders:1 exercise:1 body:1 sommarive:1 degree:7 exchange:2 respectively:2 gathered:1 desired:1 explore:1 z2:1 ıguez:1 copyright:1 technical:1 leaving:1 resulting:5 stimulating:1 kachru:1 bertolami:1 scales:2 addressed:1 wit:1 sgn:5 apply:2 use:1 asymptotic:12 remains:1 next:5 calculation:5 typical:1 simpler:1 formally:1 started:1 becomes:8 labelled:1 iii:6 account:3 stabilized:1 thin:4 universe:11 decoupled:2 control:2 continuity:2 process:1 inaccessible:1 high:20 assumptions:2 tan:5 rodr:1 united:1 apostolopoulos:1 purpose:1 holds:3 regions:1 varies:1 instead:2 sin:4 tension:2 singular:1 realized:2 introduced:3 physical:9 martins:1 counter:1 correspond:1 gravitons:1 agenda:1 gµν:2 move:1 interpreted:1 including:4 mentioned:1 perfect:1 chosen:4 relativity:2 estimating:1 primordial:1 degrees:3 choose:10 derivative:6 defining:7 fourth:1 articulation:1 material:2 front:4 transparent:1 dirac:1 university:2 mode:1 constraints:1 homogeneous:3 weyl:3 related:2 constitute:1 subdominant:1 measure:1 our:11 special:5 out:9 res:1 develop:1 rev:26 behaviours:2 mediated:1 ref:2 integrated:2 math:1 interactions:1 hankel:2 approaches:1 bering:1 york:3 8r:3 hubble:11 shiu:1 zwiebach:2 route:1 times:21 b596:1 h02:1 hence:4 manuscript:1 bonnet:6 intuitively:1 blows:1 precisely:1 publication:1 ordering:1 unknown:3 adjoint:2 behaves:1 system:32 unspecified:2 their:3 attack:1 intermediate:1 b625:1 behaved:1 final:1 exactly:7 regards:1 advocated:1 outline:1 steep:1 trento:7 enforced:1 khoury:1 unchanged:1 curves:6 unlikely:3 sen:4 need:3 curved:5 constrained:1 demonstration:1 clearly:1 acceleration:1 minimally:1 able:2 gravity:11 mechanism:2 instance:6 singh:1 linde:1 accuracy:2 unless:2 sft:5 propagate:1 preliminary:2 why:1 consequences:1 stronger:1 graphs:1 kmax:1 superscript:1 fact:8 dbi:5 medvedev:1 text:2 supported:1 purely:1 careful:1 trivial:3 principal:1 based:2 knowledge:2 should:11 ambiguity:1 tune:1 local:62 achieve:1 means:1 simplest:4 bean:1 ones:1 legitimate:1 words:1 wise:1 evolution:9 differential:4 expansions:2 tuned:2 qc:1 qb:2 contain:1 cℓ:6 fixed:8 view:3 predictive:1 modulo:2 computed:1 exists:1 hν:2 ebn:2 b565:1 phases:3 b302:1 interacting:1 biswas:3 diverge:1 written:7 difficulties:1 closed:3 invariant:1 boundary:3 ends:1 reproduces:3 key:1 configuration:4 interpretations:1 taking:7 equal:3 fulfilled:1 ln:23 admit:1 safely:1 grounds:2 comment:3 strongly:1 ci:2 relevant:1 cn:1 conclude:2 harmonic:2 diverges:2 cs:1 respect:6 cq:1 cu:22 selfadjoint:1 kolda:1 addition:1 cauchy:3 slowly:1 treat:1 olson:2 proposal:1 ellwanger:1 define:5 field:40 determinant:1 adopted:1 corresponding:3 truncations:1 scalars:4 terashima:1 subspace:1 bulk:7 c3:3 prescription:3 c1:14 present:1 novel:1 value:9 choices:2 will:11 wild:2 αt2:3 satisfying:2 simons:1 chaotic:2 vi:3 thus:1 felice:2 compactified:1 9qh:1 generic:1 kosteleck:2 radiation:2 φf:1 units:1 finite:28 difficult:3 practice:1 http:1 parametrizes:1 absorb:2 upon:1 effect:2 infinite:10 identity:2 off:1 center:1 nevertheless:1 well:12 flanagan:1 thought:1 sets:1 position:1 usual:2 atze:1 less:2 monomial:2 accurate:1 obtain:1 momenta:1 density:4 etruy:3 realize:1 reasons:2 add:1 extends:2 barrow:2 match:4 mazumdar:1 know:3 press:1 immediately:2 semiclassical:1 necessary:1 like:5 qualitative:1 accelerating:4 become:4 braneworlds:2 therein:1 shed:1 because:10 classical:5 happens:1 cψ:7 esr:2 lead:2 avoid:2 does:6 assuming:1 struve:1 obey:2 nardelli:5 selecting:1 expansion:13 although:8 imaginary:1 panel:4 about:3 extension:1 freedom:7 dependence:2 compatible:2 important:4 discard:1 reproducing:1 subset:1 own:1 h0:24 functional:1 en:1 bosonic:3 van:2 gruppo:2 inasmuch:1 quadratic:3 terminates:2 naturally:3 function:45 brane:15 but:17 astro:6 hk:1 construction:5 ho:1 matematica:1 convergence:3 truncation:10 compute:4 dmf:1 instructive:1 whether:4 gravitational:10 smooth:1 below:4 belov:1 limit:6 problem:16 int:2 povo:2 contribute:1 denote:1 proceeds:1 functions:26 compared:3 ingredients:1 dressed:1 other:17 details:3 branch:3 shown:4 astronomy:1 naqvi:1 ghost:4 coupling:6 factors:1 4r:20 strings:1 understand:1 4d:13 expands:1
|
0705.3044.txt |@word partial:5 consider:2 magnetic:5 global:3 fabricated:2 yellow:1 existing:1 leads:2 edu:1 sci:1 4e2:1 research:1 polarity:2 whose:1 etching:1 rycerz:1 technique:2 supported:1 charge:11 indicate:5 present:1 under:4 include:1 ald:1 probe:1 advantage:1 heterojunctions:2 very:1 rise:1 vlg:16 resistance:1 electron:3 herrero:1 mixing:1 difference:1 exact:1 entire:1 level:1 transmission:4 fragile:1 solution:1 occurs:2 small:1 upper:1 smaller:1 ten:1 kim1:1 among:3 fold:1 second:1 enhancement:1 further:1 dynamics:1 odd:1 leakage:1 quite:1 even:1 stands:1 giving:1 contributed:1 agrees:1 current:11 bipolar:4 above:2 fractional:8 3c:1 new:4 3a:2 increasing:1 3g:1 consisting:1 contrast:2 cheianov:2 full:7 lee:1 respectively:1 2degs:1 equals:2 here:3 understanding:1 lack:1 reported:1 tracks:2 capacitor:1 mes:1 along:2 strong:1 equations:1 obtained:2 vbg:14 institute:1 study:3 studied:2 allows:3 resulting:1 narrow:1 via:6 projection:1 constrictions:1 inducing:1 marked:1 highly:1 stern:1 total:2 estimate:2 plot:2 use:3 reflected:1 che:1 usa:1 distinct:1 positive:1 girvin:1 quasi:1 comparing:1 therefore:2 type:2 theoretical:2 diagrams:1 more:6 separated:1 elec:1 particular:4 states:12 none:1 ma:1 quantized:3 science:3 dmitri:2 dev:1 labeled:1 values:6 temperatures:1 following:1 example:1 stimulating:1 control:1 weaker:1 figure:1 process:2 relativistic:2 pieces:1 sample:2 indicates:3 geim:1 numbers:4 novoselov:4 sharp:1 tan:1 fal:2 occur:4 junctions:4 axis:1 end:1 varied:3 carriers:1 rather:1 means:1 feature:1 roughness:2 regions:10 how:1 adjacent:1 gate:23 2deg:1 explains:1 pathway:1 νe2:1 map:4 mat:4 may:1 after:1 derived:1 mapping:1 klitzing:1 applications:2 fundamental:1 plane:3 induce:2 date:1 horizontal:1 response:1 polarities:3 man:1 four:3 counter:1 simple:2 si:2 so:1 allow:1 trauzettel:1 order:1 typical:3 neto:1 help:1 office:1 developed:4 insight:1 displayed:1 choose:1 burkard:1 stability:2 experiments:1 cuts:1 still:1 ieee:1 its:1 refs:1 lg:2 longitudinal:2 thank:1 acknowledge:1 2e2:3 interesting:5 lateral:2 clg:2 exhibits:1 edge:14 parts:1 fig:28 orange:3 covered:1 main:1 non:1 good:1 junction:4 combination:1 material:1 yacoby:1 landau:1 band:4 they:1 13t:1 bar:3 false:1 now:1 hall:7 dielectric:3 represents:3 finite:2 dirac:3 qhe:1 fully:1 university:1 infer:1 capability:1 filling:8 mode:2 each:2 found:4 efetov:1 traces:1 side:1 series:5 energy:3 related:1 onr:1 conductance:35 owing:1 combining:1 quantum:9 our:14 out:2 shown:7 goldhaber:1 factors:4 furthermore:1 rev:12 denotes:1 semiconductor:1 baus:1 ra:1 denoted:1 resistor:1 red:4 shows:4 linear:2 written:1 sio2:1 mechanisms:1 diagonal:1 possibility:1 i4:3 altshuler:1 york:3 philip:1 veselago:1 e2:17 chiral:1 starts:1 length:1 produce:1 place:1 gordon:1 signature:1 barriers:1 onto:1 first:4 intuition:1 placing:1 manuscript:1 reveals:1 question:1 number:4 channels:1 rectifying:1 least:1 pablo:1 carry:1 reached:1 electronic:4 size:1 little:1 sheet:1 ri4:1 width:1 leading:1 top:1 system:6 approximately:1 parallel:1 their:1 quadratic:1 white:1 structures:1 unpublished:1 williams:1 circulate:1 conspicuously:1 part:2 authors:1 injected:2 believe:1 representing:1 than:10 modes:4 nanostructures:1 valley:3 haug:2 double:1 plateaus:20 tunable:1 limiting:1 preparation:1 determined:1 yang:2 nanostructured:1 were:2 enables:1 exhibit:5 raman:1 fashion:1 dielectrics:1 electrochemical:1 levitov:3 close:1 seen:1 constrained:1 any:1 accounted:1 gusynin:1 paths:1 sandwiched:1 strength:1 zero:7 academic:1 note:3 sciences:1 high:4 potential:2 kurz:1 conductivity:5 channel:1 stormer:1 towards:1 electric:1 trace:4 opposite:4 wells:1 most:3 oostinga:1 letter:1 quantitative:1 device:6 measured:2 why:1 manifested:1 patterned:1 especially:1 cover:1 points:2 ferrari:1 guinea:1 nanostructure:1 abanin:4 physics:3 fact:1 slope:1 contacted:1 show:1 vandersypen:1 doped:2 discovered:1 meric:1 bulaev:1 find:3 symmetric:2 ratio:2 depended:1 conduction:3 state:7 terminal:4 only:7 black:2 lemme:1 rich:1 factor:5 constant:1 local:25 characterization:1 lockin:1 klein:1 exceptional:1 mainly:1 simplest:2 overall:1 ko:2 da:1 negative:1 3b:2 during:1 net:3 areas:1 prime:1 processes:1 substrate:2 densities:5 transitional:1 explore:2 fields:1 arxiv:1 microscopy:1 summary:1 investigate:2 qh:15 fixed:1 view:1 scanning:1 bars:1 electrodes:3 sep:1 sensitivity:1 observed:5 hallmarks:1 see:7 electrostatic:2 devices:18 discussions:1 recently:2 sem:3 incorporating:1 techniques:1 sharapov:1 pattern:4 away:1 µv:1 circulating:1 dmr:1 materials:1 µm:2 rendell:1 outside:2 various:1 huard:1 between:2 fermi:3 approach:1 across:1 available:1 comparable:1 terms:1 creating:1 nature:3 importance:1 weak:1 interfaces:6 focus:1 however:1 nsec:1 poortere:1 analyzed:1 silvestrov:1 problem:1 adapting:1 both:3 last:1 0t:1 condmat:1 career:1 region:5 deposition:1 attributed:1 quantization:1 propagation:3 became:1 distinction:1 contribution:1 ll:1 experimental:1 minima:2 solving:1 space:1 point:5 color:6 corresponds:1 dimensional:2 interface:1 respect:3 5e2:1 unusual:1 described:1 addition:1 locally:3 due:1 been:4 much:1 interest:2 expected:4 monotonic:2 plateau:4 dots:1 relations:1 controlled:1 designed:1 gas:1 ozyilmaz:2 gap:2 bulk:4 observe:2 mail:1 lgr:28 equilibration:11 those:1 case:8 extracted:3 exception:1 σxx:10 σxy:1 single:6 value:2 while:5 suppose:1 behavior:5 situation:2 tunneling:1 conformal:1 taking:2 layer:2 larger:3 coupled:1 characteristics:2 graphene:34 thus:1 equal:3 couples:1 characterize:1 cond:3 zhang:2 technology:2 currents:1 different:11 heersche:1 sensitive:1 generic:1 cross:2 same:4 complex:2 emphasize:1 schematic:1 ri3:1 several:1 couple:1 pan:1 higher:1 breakdown:1 independent:1 used:1 columbia:2 leonid:1 i1:5 i3:3 i2:4 ri2:1 effect:10 ri1:1 running:1 edges:4 kim:1 potentials:1 robust:1 heterostructure:1 fabrication:3 tune:1 lower:3 gls:21 center:1 iout:1 well:3 boxes:1 analysis:1 without:1 patterns:2 contact:2 simulated:1 position:1 model:3 cryogenic:1 left:1 gates:7 proposed:1 heavily:1 half:1 obtain:2 shape:1 cease:1 voltage:8 gated:4 integer:2 multiples:1 heterostructures:2 tworzydlo:1 widest:1 density:14 extra:1 character:1 except:1 macdonald:1 source:1 add:1 location:2 samples:1 5e:1 flowing:2 identical:1 beenakker:1 insensitive:1 mrsec:1 marcus:2 bands:1 showing:4 results:3 possible:2 increases:1 using:3 unique:3 prominent:1 loss:1 fractionally:2 wu:1 bolotin:1 serves:1 yields:2 either:3 arbitrary:1 inter:2 disorder:2 reasonably:1 deviation:1 valleys:5 often:1 classical:1 sequence:1 some:2 back:9 vsd:1 examples:1 dicarlo:1 transport:10 nonzero:1 2d:3 scale:4 describing:1 ilan:1 lead:3 contacts:2 purple:1 measurements:2 assuming:1 morpurgo:1 three:2 varying:2 agreement:1 notably:2 step:1 rhombi:2 although:1 refers:1 properties:1 von:1 valence:2 central:1 would:1 discussed:1 range:1 carrier:3 streda:1 observation:1 equally:2 cambridge:1 presence:4 into:2 backscattering:7 nsf:3 drain:2 neutrality:3 because:2 determine:1 resistors:3 intrinsic:1 support:1 there:1 jarillo:2 capacitance:2 conservation:2 low:1 crucially:1 analyze:2 was:1 function:2 considerably:3 complete:2 phenomena:2 but:2 gain:1 hb:1 considerable:2 partially:1 absent:1 consist:1 whether:1 up:1 us:3 record:1 below:1 graphite:1 reflects:1 spectroscopy:1 continuously:1 distribution:1 similar:3 agree:1 regimes:4 originating:1 fractions:4 ac:1 associated:2 cbg:2 homogenous:1 stronger:2 todd:1 general:1 globally:1 peres:1 engineering:1 right:2 corresponding:1 gradients:1 work:3 regime:4 nm:3 no:1 whereas:1 nc:2 when:8 field:7 other:10 role:1 nat:4 department:2 tech:1 conclusion:1 poor:1 picture:2 excitation:1 separate:1 models:1 nonclassical:1 lens:1 massachusetts:1 cooper:1 aware:1 structure:5 independently:1 coupling:1 partitioned:1 typically:1 heterojunction:4 together:1 inset:4 resembles:1 qualitatively:1 lett:9
|
0705.3045.txt |@word hper:32 22m:4 ei:9 cm:14 im:6 iu:1 vn:18 au:3 arg:2 λk:8 resol:1 uϕ:1 id:1 d1:3 min:1 2s:4 sper:6 ts:6 bn:2 re:11 mα:6 d2m:1 πx:3 m¹:7 spec:13 math:1 mº:5 may:1 hs:13 2re:2 ht:1 v0:15 fa:1 vδ:6 dx:3 c0:1 cε:5 cδ:1 dom:54 supp:3 arxiv:1 rº:1 32m:2 hr:1 2cm:2 l2:46 sect:3 kπx:1 2m:62 2k:33
|
0705.3046.txt |@word finkbeiner:1 partial:1 consider:1 luminosities:2 results:1 four:3 ge:1 signatures:1 grateful:1 edu:1 morphology:1 sci:1 mccarthy:1 schlegel:3 synthetic:5 whose:1 technique:5 tr:1 young:1 supported:1 program:5 petersburg:1 th:3 stable:2 spec:6 case:3 confirmation:1 keeping:1 projet:1 anonymous:1 severely:1 sdss:2 transmission:2 positions:6 notes:1 large:1 gos:1 arkhyz:1 indices:2 relation:5 noted:1 miralles:1 work:1 zh:5 zirbel:1 estimates:6 direct:1 literature:1 jump:1 second:2 further:2 estimated:5 λcdm:1 spectral:7 index:1 errors:1 section:2 axes:1 while:1 tremaine:1 current:1 above:2 3c:17 new:2 falling:1 method:1 coefficient:6 full:1 chose:3 degree:1 galaxies:60 proc:2 drew:3 outlying:1 ionization:1 objects:12 compressed:1 zspec:2 adelman:1 ratio:1 along:3 change:1 obtained:10 parameters:2 shift:1 study:3 studied:1 allows:2 suggests:1 simultaneous:1 survey:1 published:3 bunker:2 studies:3 goss:5 stably:1 2000b:1 2000a:1 extra:1 photometric:34 highly:1 visible:1 frame:1 stern:1 apply:1 estimate:5 use:4 cosmological:1 papovich:1 predictions:1 next:1 szalay:1 therefore:2 bender:1 etude:1 type:3 theoretical:2 more:4 excluded:1 38s:1 populations:5 becomes:1 pisma:1 emission:2 validity:1 known:2 vo:1 sample:6 account:1 effectively:1 des:1 ottgering:1 53w091:1 remain:1 values:1 following:2 dea:1 trans:2 example:2 figure:6 predict:1 high:5 indicates:1 minimum:3 performed:1 magnitudes:4 spb:1 axis:1 six:1 maps:1 hot:1 rudnick:1 elliptical:9 sik:2 optimal:3 pub:1 fr:29 de:3 paramount:1 may:1 after:1 confirmed:3 diagram:1 catalog:2 explored:1 inst:2 discard:1 fits:1 zphot:3 fk:1 data:18 1998b:2 1998a:1 spectra:13 lines:4 correspond:2 ghz:1 cosmology:1 si:2 correlation:7 subsequently:3 bull:5 evolutionary:11 help:1 september:1 indeed:1 astronomical:3 spinrad:1 paper:2 including:1 filters:9 mentioned:1 existence:2 facilitates:1 still:1 its:8 galaxy:7 before:3 observational:2 le:3 thank:1 redshift:22 starobinsky:2 actually:1 systems:3 fij:2 mail:1 them:2 good:1 affected:1 combination:1 matches:1 matteucci:2 primary:1 band:2 they:4 st:1 yu:13 fioc:2 densities:1 represents:3 name:4 always:1 identified:1 j1626:1 possibilities:1 connolly:1 magnitude:4 each:2 found:4 spectroscopically:2 photometry:3 homogeneous:1 el:1 bruzual:3 kband:2 significantly:1 weight:1 there:1 energy:3 astroph:4 macmillan:1 inhomogeneous:1 astrophysical:1 measurement:2 our:13 special:1 out:1 ru:3 given:3 factors:1 although:1 rep:5 since:2 research:3 afanasiev:4 conclusions:1 rc:2 squares:2 correct:1 red:1 shows:3 foundation:2 complicates:1 s1400:1 confidence:1 mechanisms:1 borgne:3 possibility:2 standard:1 formation:3 york:1 besides:1 franx:2 likelihood:6 hubble:1 determining:2 could:1 cosmic:1 filter:6 fobs:2 davis:1 first:3 sanchez:1 already:2 astron:31 powerful:1 number:1 reaches:1 gissel:1 spots:1 array:1 ser:3 dispersion:1 surveys:1 checked:1 indicate:1 introduction:1 stanway:1 least:1 their:6 observations:5 calculations:2 iau:1 jarvis:2 gives:4 free:1 volmerange:9 testing:1 tool:1 took:2 optical:2 gyr:2 authors:2 zhurnal:1 than:2 coefficients:1 population:12 distance:1 observatory:1 zsp:2 showed:1 enabled:1 see:4 charlot:5 smoothed:5 project:1 determined:6 kth:1 letters:1 were:8 ftp:1 steep:2 russia:1 files:2 sao:4 remained:1 ran:1 topics:1 ages:10 spectrum:1 curves:10 chambers:1 quasars:2 confirms:1 demonstration:1 any:2 relatively:2 attributable:1 convenient:1 note:2 l115:1 norma:1 even:3 collaboration:1 object:2 most:2 synthese:1 frii:1 ccd:1 remarks:1 acknowledgements:1 measured:3 deviations:1 constructed:1 especially:1 neighboring:1 calculated:2 labbe:1 points:8 physics:1 sum:2 dot:1 reserve:1 selection:4 spaced:1 intensity:1 show:1 text:1 random:1 infrared:3 discovered:1 colors:2 radio:52 astrophys:24 availability:1 giant:3 specifically:1 based:8 knowledge:1 copyright:1 should:1 only:5 black:1 factor:2 various:2 1995a:1 1995b:1 dependent:1 morphological:2 made:1 rocca:9 words:1 during:1 pegase:1 magorrian:2 reveal:1 evolution:2 continuum:3 arxiv:1 teams:1 fixed:2 set:2 computed:1 sensitivity:1 hα:1 up:4 observed:3 namely:1 sed:17 bta:2 result:7 close:2 best:1 detect:1 fontana:1 subsequent:2 currently:1 verkhodanov:22 written:1 identification:1 between:2 2002a:1 vanzella:2 2002b:1 available:2 j1124:1 cristiani:1 parent:3 importance:1 31p:1 however:4 spectroscopic:7 efficiency:2 l79:1 key:1 jets:1 tuc:1 σk:2 received:1 last:1 many:1 bvri:1 abazajian:2 quantization:1 etc:1 multicolor:2 estimation:2 whole:1 point:1 reasons:1 had:1 corresponds:1 dimensional:5 grants:1 table:8 pp:2 described:2 publishing:1 instrument:1 addition:1 three:4 been:1 isochrone:1 much:1 combined:1 basic:2 collected:2 pk:1 ph:2 breugel:2 riley:2 fig:2 referee:1 corresponding:5 both:3 baum:5 formed:7 qsr:1 determination:2 nizhnij:1 improved:1 evidence:3 those:2 applied:1 uncertain:1 solid:1 straight:3 value:1 galactic:1 near:1 gemini:1 reliably:3 error:3 investigating:1 procedure:5 selected:1 vol:2 thus:2 moy:1 iv:1 ii:28 properties:2 triple:1 regression:3 par:1 bc96:1 same:3 shifts:1 bands:1 several:3 composition:2 higher:1 used:9 http:2 publ:1 moving:1 purpose:1 mcvittie:1 recent:1 supermassive:1 breuck:3 programs:1 nevertheless:1 makes:1 residuals:1 studying:1 position:3 model:9 apertures:1 consisted:1 noao:1 fanaroff:2 being:1 when:4 obtain:1 rest:1 sources:3 distant:11 part:1 somerville:1 previous:1 preprint:1 classification:2 kluwer:1 density:2 scorpio:1 absorption:2 conclude:1 sky:1 ratan:1 source:2 nato:1 advanced:1 samples:2 remaining:1 tests:2 depends:2 big:6 possible:1 five:2 mon:5 background:1 press:1 using:11 emergence:1 accepted:1 color:2 apart:1 bulge:1 flux:3 eales:1 yields:2 translated:2 works:1 because:1 old:1 methods:4 some:1 back:1 library:1 choosing:2 redshifts:23 pleiades:1 ellis:1 lead:1 confirm:1 measurements:5 integration:1 microwave:1 pell:1 richstone:1 moderate:1 closely:2 selecting:3 l1:1 unfixed:2 stellar:21 popular:1 step:1 symp:1 shifting:1 padmanabhan:2 intense:3 about:3 pipino:2 universe:1 o:12 range:3 insufficient:1 obs:6 considerations:1 soc:5 mbh:1 final:1 presence:2 previously:1 instruments:1 into:1 within:1 budavari:3 suppl:3 samus:1 acad:2 references:1 raises:1 determine:2 proportional:1 tabulated:1 telescope:1 van:2 zph:1 support:1 initial:1 question:1 fast:2 smoothing:1 ordinate:1 way:2 ed:2 was:7 synthesis:1 function:5 medium:1 form:1 but:1 searching:2 astro:2 russian:4 line:6 highest:1 he:1 submitted:1 circumstantial:1 applying:2 pointlike:1 stanford:1 whether:2 wish:1 maximum:3 us:3 different:6 spectroscopy:1 russ:1 distribution:2 similar:1 clear:1 trio:6 reuland:2 curve:11 abstract:1 myr:1 bolzonella:2 kopylov:12 general:2 single:1 reliability:2 wavelength:3 rawlings:1 distributions:1 check:1 inc:1 compared:2 dotted:2 no:4 dashed:1 generally:2 field:1 other:3 branch:1 papers:1 test:1 guiderdoni:1 conclusion:1 evolutive:1 pronounced:1 models:9 searched:1 important:1 included:1 astronomy:2 structure:2 algorithm:2 abscissa:1 age:10 holes:1 original:1 mass:2 fact:1 time:1 mrc:3 starting:1 4c:12
|
0705.3047.txt |@word slope:2 logarithms:2 measurements:1 sci:1 consider:1 illustrates:1 d74:1 excellent:1 results:2 woods:2 golec:3 causes:1 kowalski:4 b268:1 bremsstrahlung:4 e665:1 ac02:1 caldwell:1 b260:1 tr:1 tp:5 tail:1 under:1 tr2:2 tb:1 ta:5 case:1 straightforward:1 very:6 multi:3 wave:1 electron:1 stays:1 experimentally:1 difference:3 exponential:1 level:1 positions:1 integrating:1 t2:1 solution:1 large:8 small:15 dis:4 measuring:1 smaller:3 prediction:1 filled:1 approximation:1 imply:1 enhancement:10 qualitatively:1 dynamics:4 implemented:1 quite:1 theory:1 even:1 nonlinear:1 combined:1 deeply:2 section:24 expressed:1 uniform:1 b441:1 above:1 new:1 increasing:3 equivalent:1 exercise:1 med:6 wiedemann:2 simultaneously:1 transparency:1 averaging:1 respectively:2 hera:3 here:4 understanding:1 represented:1 ratio:4 strong:5 logarithmic:1 contraction:1 obtained:2 great:1 ref:2 larger:4 tuchin:1 fourier:1 makes:1 plotted:2 appropriately:1 useful:1 scales:1 compare:1 unid:1 weigert:2 addressed:1 gluon:6 curve:2 total:2 challenging:1 plot:1 asymptotic:1 usa:1 d75:1 breakup:6 predictions:2 process:1 nucl:9 therefore:1 qcd:10 type:1 more:4 flat:1 gotsman:1 glass:1 primarily:1 normalized:1 particular:2 known:2 must:1 states:1 c46:1 mb:1 work:1 c49:1 reproduce:1 fock:1 values:3 kovner:1 evolved:1 scatter:1 performed:1 f2:2 owes:1 figure:1 predict:1 high:4 lorentz:1 numbers:1 influenced:1 dglap:4 provide:1 discussion:1 instead:1 parameter:9 profile:2 simplicity:1 rept:1 description:1 huge:1 stasto:1 different:2 r2a:1 produce:1 fits:2 geometrical:2 data:11 fm:3 r2p:1 dσl:1 d66:1 vogelsang:1 effective:1 recombination:1 dσd:1 explicit:1 correspond:1 sn:1 fundamental:1 decreasing:1 order:2 af2:1 saturated:1 albacete:1 itakura:1 constituents:1 over:4 whereby:1 expects:1 interpreted:1 symbols:2 its:2 before:1 derive:1 rapidly:1 thank:1 fit:3 energies:2 interesting:3 coordinates:1 better:1 production:1 fig:12 saxon:2 schmidt:1 eur:1 maximal:2 non:1 good:1 motivated:1 combination:1 qs:21 introduce:1 xg:1 scaling:5 effects:2 focus:1 inelastic:2 discuss:3 represents:2 gev2:3 characterizes:1 arrows:1 realistic:1 filling:1 mode:1 2b:1 2n:1 goncalves:1 differential:1 significantly:3 mueller:4 hadronic:1 fixes:1 energy:3 hard:2 ea:1 gaussian:3 applicable:1 obtains:1 measurement:1 quantum:5 laboratory:1 approximated:1 eq:7 ep:2 shown:5 shadowing:5 rev:13 denotes:1 increase:2 collisions:1 rg:1 dominated:1 ra:2 dominate:1 evaluation:1 integrated:1 shows:3 iancu:3 linear:2 gribov:1 b30:1 differ:1 possibility:3 quark:2 completely:1 collection:1 c53:1 estimate:1 deshpande:1 definition:1 r2:5 times:3 turn:1 b590:1 navarra:1 eqs:3 there:1 features:1 probability:1 jhep:1 number:3 deplete:1 another:1 open:1 profiles:1 2nc:1 size:3 given:1 b492:1 unitarity:2 leading:6 condensate:1 system:1 grow:1 convention:1 98ch10886:1 frame:1 gives:3 kopeliovich:1 transverse:2 part:2 b335:1 x0:2 than:7 center:3 wide:2 target:1 was:1 depends:2 matter:1 future:2 amplitude:2 light:3 tion:1 steep:1 perturbative:1 pre:1 function:8 ann:1 generalization:1 manuscript:1 seen:3 clearly:1 lumpy:1 milner:1 latter:2 responsible:1 converges:1 note:2 bdip:4 accuracy:1 play:1 munier:1 shall:1 collaboration:3 falls:1 germany:1 letter:1 pair:2 diffractive:9 especially:3 average:4 sometimes:1 stronger:4 neutral:1 feynman:1 dσp:1 exp:5 parenthesis:1 brookhaven:1 physics:1 precise:1 gold:2 show:1 text:1 probe:2 forshaw:1 careful:1 d2:14 occupation:2 impact:11 q2:13 based:1 parameters:5 distributed:1 b668:1 jan:1 only:3 going:1 black:2 screening:1 factor:2 partially:1 frankfurt:1 insight:1 dominant:1 gev:5 de:1 parton:6 dz:3 nearly:2 dt:4 procedures:1 evolution:11 densities:2 arxiv:27 median:1 gbw:4 armesto:1 contrast:3 contain:1 fixed:5 wusthoff:1 com1:1 sensitivity:1 j1:1 relative:7 see:5 individual:1 radius:1 now:3 discussions:1 best:1 αs:4 amaudruz:1 nuclear:14 dipole:21 d59:2 enough:2 smallest:1 various:1 between:7 σdip:6 available:1 venugopalan:4 nature:1 importance:2 guzey:1 weak:2 however:4 distinguish:1 come:1 both:4 f2a:1 σl:8 region:2 density:6 according:1 contract:1 σd:2 ln:1 contribution:2 argue:1 expression:1 puted:1 experimental:1 simple:2 ca:10 elektronen:1 proton:14 anti:1 respect:1 pqcd:1 collider:3 kinematic:2 addition:1 schafer:1 due:1 been:2 pb:2 extraction:1 pa:1 slowly:1 change:1 expected:1 ph:27 define:1 arises:1 corresponding:1 observable:1 photon:2 precision:1 gap:1 hamburg:1 maximally:1 former:1 applied:1 intriguing:1 ryskin:1 pacs:1 value:3 will:7 calcium:4 while:1 replaced:2 behavior:1 applies:1 polon:1 versus:1 studied:1 λqcd:1 refs:1 freund:1 reads:1 ramifications:1 result:2 containing:1 ing:1 shaw:1 cross:28 same:3 unity:1 physical:1 events:4 higher:2 deutsches:1 effect:3 parametrized:1 ion:1 running:1 anticipated:1 normalization:1 break:4 kovchegov:3 off:4 modes:1 nevertheless:1 well:5 double:1 without:2 components:1 model:24 left:4 muon:1 26a:1 observed:1 obtain:2 rest:1 distinguishing:1 motyka:2 atomic:1 scattering:2 captured:1 rapid:1 zoller:1 upton:1 zakharov:2 color:3 lett:6 violations:3 momentum:1 divided:1 identical:1 acta:1 saturation:18 insensitive:1 desy:1 showing:1 corresponds:1 smallness:1 using:2 like:1 particle:1 follows:1 qualitative:3 performing:1 manifest:1 specific:1 yields:1 either:1 marquet:1 decrease:1 nucleons:3 soft:1 shed:1 because:6 qed:1 classical:3 some:2 growth:3 intact:2 rapidity:1 teaney:1 maor:1 scale:19 describing:1 nikolaev:2 lappi:1 lublinsky:1 disk:2 depletion:1 does:2 dipoles:3 prog:1 inserting:1 cgc:7 wavefunctions:2 q2s:14 nmc:8 salgado:1 properties:2 hadron:4 comparison:1 about:1 kinematical:1 would:1 dependence:25 o:4 strikman:1 range:5 important:1 d68:1 d64:1 introduced:1 d60:3 biernat:3 considerations:1 significant:2 into:3 bound:1 watt:1 right:6 national:1 proportional:1 hep:27 additional:1 initial:1 question:1 transform:1 rdiff:2 much:1 authorized:1 fraction:4 sections:3 naturally:1 synchrotron:1 form:1 mclerran:2 differences:2 overlapping:1 repeated:1 recoil:2 hb:1 considerable:1 faster:3 fragmentation:2 bartels:1 whether:1 levin:2 smooth:1 up:7 limit:6 σtot:2 demonstrate:2 distribution:6 similar:1 called:1 regimes:1 detailed:1 constant:2 inclusive:5 defined:2 likewise:1 universal:5 povh:1 general:1 au:3 our:2 qiu:1 formalism:1 distributions:1 regime:1 functions:1 compared:2 no:6 wavefunction:1 when:2 virtual:2 ny:1 role:1 details:2 department:2 picture:2 denote:1 rqs:1 models:6 a1:4 generated:2 a2:1 nucleus:9 log:1 rummukainen:1 structure:2 breaks:1 coupling:2 requires:2 diffraction:2 dσ:3 ebt:1 mass:1 observables:1 nuclei:14 resolution:1
|
0705.3048.txt |@word limited:1 four:2 entropy:1 assembled:4 poorly:1 fronts:3 calculate:2 ergs:5 summarizes:1 shielding:1 rise:3 figs:3 affect:4 tominaga:4 vast:1 school:1 progression:2 solution:18 viable:1 heger:9 enhance:2 pooley:1 natarajan:1 consistent:4 direct:1 surrounding:16 second:2 qualitatively:1 implemented:1 approached:1 even:6 established:3 astrophysik:1 jwst:2 bipolar:1 above:12 new:3 net:1 increasing:1 ever:1 consisting:4 shocks:4 evolving:1 8a:3 behavior:11 greif:13 equals:1 here:2 mej:3 ionization:10 asymmetry:2 path:1 obtained:3 leaves:6 changed:1 approaches:5 threedimensional:1 adopting:1 blackbody:1 prints:1 projection:1 highly:8 visible:6 remnant:53 total:6 plot:1 would:7 negative:2 occupying:1 xh2:2 therefore:4 distortions:1 type:3 until:5 fractions:1 vangioni:2 glass:1 correspondingly:1 mather:2 separates:1 must:9 pieri:2 setup:3 work:10 mh:1 temperatures:13 hansen:1 springel:4 example:1 defer:1 indicated:1 give:1 bennett:1 indicates:3 caution:1 isothermal:2 absolute:1 end:5 minihalos:29 provide:1 verify:3 how:1 hot:8 earlier:4 demanding:1 plausibility:1 summarize:2 law:1 recombination:2 schneider:7 complexity:1 ultimate:2 order:7 triggering:1 feedback:19 over:1 truran:2 murray:2 spheroidal:1 before:4 imf:2 klessen:1 exhibits:2 destroyed:1 fig:33 them:2 affected:1 enrich:1 effects:6 they:5 represents:3 jablonka:1 reasonably:1 cowie:4 each:6 side:1 mean:19 telescope:1 arrives:1 hosted:1 substantially:3 laboratory:1 kasliwal:1 laughlin:1 rt:3 rp:1 network:1 gradient:4 quantify:2 crucial:6 rvir:5 particles:11 linear:3 assured:1 free:3 formation:35 detecting:1 created:6 cosmic:4 dispersal:3 creates:1 bromm:34 speeds:1 already:1 paschos:1 another:2 top:2 approximately:3 confirming:1 perturbations:1 rates:7 too:5 ranging:2 collapse:11 centered:1 albert:1 gyr:1 peculiar:1 begins:3 distance:3 evaporates:1 likely:2 matter:2 tion:1 evaporated:1 solely:3 seminal:1 fashion:1 ram:1 spectrum:2 rau:1 manner:1 stalls:5 relatively:7 estimated:2 latter:2 responsible:3 dolag:1 though:2 wells:5 overdensities:1 boltzmann:1 germany:1 phase:25 flow:1 inferred:1 compressing:1 inoue:1 principle:1 inaccuracies:1 calura:3 calculates:1 rayleigh:1 random:1 halpern:1 ending:1 implying:4 radii:1 larson:6 layout:1 delays:2 summarizing:2 oct:1 continuity:1 do:13 dm:5 cheng:1 de:2 dt:1 runs:2 chronological:2 shull:5 hammel:1 swept:11 observed:1 depends:1 radius:27 result:1 doyon:1 longdashed:1 incorporating:1 subject:3 capacity:1 away:2 propagates:12 symmetric:2 finger:2 propagated:2 encounters:7 discovery:1 visualization:2 weak:1 however:11 extent:9 topology:2 suggested:2 compton:1 heating:4 hinshaw:1 exceeds:1 uni:2 argue:1 timescale:2 character:2 relaxation:1 symbols:6 mizuno:1 radiative:5 three:4 been:12 quickly:5 much:7 progenitor:20 expected:1 dots:5 life:1 suppress:1 concerning:1 confinement:1 mcs:1 aim:2 near:3 elaborate:2 procedure:2 iv:1 ii:36 cant:1 ic:17 constrained:1 cools:3 perform:3 complex:2 independent:4 numerical:4 hand:5 vishniac:2 hydrodynamics:6 scenario:2 letarte:1 mainsequence:1 quantitative:3 left:3 just:3 spherically:2 scattering:15 yet:4 previous:5 note:4 enters:2 infinitely:1 had:1 wright:3 photoheating:15 transformed:1 apart:2 hat:1 expelled:3 l87:1 adopts:1 l81:1 possible:2 background:3 silverman:1 advanced:1 occurring:2 ciardi:4 performing:2 specific:2 invaluable:1 cooled:5 webb:1 pettini:1 successfully:1 born:1 2006gy:2 dense:40 bottom:2 investigations:1 microwave:1 core:4 compress:1 filaments:5 post:6 properties:17 takes:1 o:9 calculating:1 slightly:3 presence:4 ahn:3 karlsson:3 contrasts:1 abel:12 reducing:1 compression:1 support:1 initial:18 approximate:1 conservation:2 l135:1 fraction:4 was:1 bedrock:1 martel:1 medium:13 form:6 forming:10 becoming:2 differences:1 raytracing:1 heat:2 magnitude:3 radiating:1 prevents:1 inside:7 maximum:8 stages:1 fulfills:3 adopt:2 computing:1 abstract:1 proves:1 simulations:16 physical:7 nh:10 dotted:3 no:4 whereas:2 generally:4 reality:1 setting:2 dekel:2 papers:1 test:9 jenkins:1 ns:1 intend:1 models:2 dies:1 preceding:1 thacker:2 explosions:12 regime:1 outskirts:1 assume:5 ferrara:17 together:2 stripping:1 time:34 slope:2 stoehr:1 varying:1 focus:1 leads:6 flam:1 arnett:1 comments:1 grateful:1 morphology:5 inverse:2 ver:1 environment:1 finally:8 ρsh:1 vej:2 images:1 choice:1 shetrone:1 stays:1 blast:7 cool:1 level:2 turns:1 overlaid:1 l93:1 prediction:3 affiliation:2 penetrated:1 spectral:1 norris:1 debated:1 filippenko:1 uniform:1 current:1 goes:1 international:1 falling:1 nakamura:3 explosion:26 dwarf:1 prescriptions:1 agreement:4 address:1 accretion:3 along:8 change:1 box:4 impacted:1 expulsion:1 resonance:2 studies:1 gull:3 venkatesan:7 planck:1 undergone:1 msw:5 positive:2 photoevaporated:1 scenarios:1 songaila:4 enriched:16 meyer:1 theoretical:1 marginally:1 apparent:1 beers:2 olive:2 cases:2 reviews:4 l121:1 vega:1 values:1 following:5 nearest:1 dedicated:1 figure:19 predict:1 expanding:1 agent:1 sph:4 dropped:5 palla:2 hydrogen:9 evidently:4 mesinger:2 rays:1 discussion:2 chemical:9 criterion:5 pure:1 speaks:1 parameter:1 sne:5 explorer:1 may:4 max:1 mac:3 produce:1 grow:1 supersonic:1 natural:1 accelerates:2 johnson:16 sr:1 irwin:1 cosmology:3 switch:1 sh:7 so:7 sn:94 halos:17 typical:3 indeed:2 mainly:2 years:2 course:4 argued:2 still:3 thank:2 methodology:1 forms:6 maio:2 main:8 texas:2 evacuated:1 thereby:1 scannapieco:8 evolution:26 scaling:5 half:2 arriving:1 discuss:7 halo:37 shu:3 term:3 james:1 drop:4 establishing:1 realistic:2 instabilities:7 instability:2 entirely:2 realism:1 stalling:2 weighted:14 significantly:4 kang:4 gaussian:1 challenges:1 inhomogeneous:1 astrophysical:1 galactic:1 ultimately:1 space:4 furthermore:2 squared:2 cobe:1 investigation:1 suggesting:1 dominate:1 correct:1 shows:13 after:36 theory:1 carr:2 million:1 mechanisms:4 possibility:4 quite:1 escud:2 complicated:1 inevitable:1 care:1 derivation:1 collapsing:2 transition:9 motion:1 turn:1 place:4 massive:15 sadakane:1 neglect:2 first:31 origin:1 spergel:2 symmetry:1 long:6 directly:3 carry:1 size:7 given:4 theoretische:1 indicate:3 cooling:53 draft:2 realization:1 white:2 inefficient:7 asymmetric:1 continuous:2 released:1 than:4 population:1 l41:1 l40:1 iwamoto:2 tsangarides:1 require:1 future:4 were:7 prospect:1 argument:1 any:1 efficient:12 shocked:7 mckee:4 potential:7 take:3 photodissociating:6 interior:46 performance:1 l115:1 channel:1 highredshift:1 multiple:2 norman:8 normal:2 track:2 molecule:6 falls:1 intergalactic:3 pair:2 analytically:3 latex:1 nonlinearity:1 considered:1 average:3 later:4 implications:1 typeset:1 verde:1 conservatively:1 dispersed:1 typically:6 laws:1 precise:2 show:3 bright:1 threshold:1 injection:1 recollect:4 ratio:1 conduction:2 proportion:1 enough:6 analytic:12 only:21 explicitly:2 black:6 helmholtz:1 umemura:5 expectation:1 unimportant:3 ionized:1 nearly:1 baraffe:2 secondary:8 adiabatically:8 yield:2 summary:2 predicted:3 discussing:1 wyithe:1 kernel:2 comparable:2 relative:1 page:1 subsequent:3 review:1 its:28 behind:9 between:5 justified:1 suppresses:1 concentrate:2 jets:1 virial:3 suppressed:1 concentrated:1 panels:1 resides:2 outflows:1 many:1 region:29 according:11 propagation:5 nearby:4 jeans:2 pop:21 werner:1 associated:2 better:1 lyman:1 deposited:1 enable:2 thousand:1 formed:2 reaching:1 observe:3 external:1 former:3 those:2 sound:4 supernovae:1 kogut:1 profiles:8 cannot:1 situation:3 susa:3 orientation:2 characteristics:1 comoving:5 furlanetto:3 helium:1 different:6 develop:1 immler:1 media:1 same:10 arguments:3 l153:1 streams:1 fixsen:2 events:1 investigated:1 maeda:1 kelvin:1 defy:1 drives:1 driven:5 changing:1 weinmann:2 l127:1 roughly:11 without:1 solve:1 components:3 sonneborn:1 model:9 being:1 when:29 speed:3 tumlinson:4 death:1 except:2 treatment:4 recollapses:3 disrupt:2 momentum:4 psh:1 around:17 early:10 confined:5 using:7 fryer:3 particle:9 reduces:1 velocities:3 serves:2 either:1 photodissociation:1 korn:1 venerable:1 redshifts:3 duration:2 intact:1 energetic:3 provided:1 slice:4 dimensions:1 critical:2 inject:1 provides:1 propagating:2 schaye:1 assembly:1 bessell:1 power:3 exciting:1 emulateapj:1 comparison:1 central:5 oh:3 discussed:5 develops:1 mixes:1 bertschinger:3 greatly:2 pockets:1 mixed:1 bond:1 hidai:1 machida:3 redshift:4 disrupts:2 references:1 determine:9 accumulated:2 wada:2 theoretically:1 argumentation:1 dispersion:4 strict:1 whalen:2 stars:13 slopes:2 bubble:15 irreversibly:1 relic:2 regard:1 delayed:1 mnras:16 promote:1 schaerer:2 october:2 applying:1 ωm:1 ωb:1 agree:2 strongly:1 taylor:3 momentarily:1 certain:1 describe:6 deep:4 general:5 ensuing:1 governed:4 formulation:1 aces:1 lifetime:9 again:3 way:1 field:1 valid:1 igm:21 deviation:1 briefly:2 separate:2 important:21 bounded:1 peak:1 included:1 shafer:1 accretes:1 enrichment:11 mass:47 cores:5 barklem:2 resolution:5 original:2 represent:7 abundances:4 eriksson:1 consider:2 caused:5 cameron:1 follow:2 voids:11 content:4 tx:1 alvarez:4 stockman:1 case:8 mpc:1 very:7 ostriker:8 dimensionalized:2 l5:2 fall:1 difference:1 soderberg:1 large:6 small:2 woosley:8 employing:1 pasj:1 rate:1 timescales:3 further:12 canonical:1 what:1 hernquist:6 section:1 brief:1 centers:1 version:2 method:6 contrast:4 compresses:1 bremsstrahlung:2 asplund:1 excess:2 directions:2 strong:2 equations:1 ahead:1 losses:1 allows:3 experience:2 milky:1 invalidate:1 via:5 followed:3 limon:1 estimate:4 readily:1 conventional:1 proceed:2 charge:1 mori:2 minor:1 more:7 emission:1 particular:2 known:2 kulkarni:1 include:3 hour:1 shielded:2 science:6 equation:6 sweeps:2 remain:6 history:1 compare:2 cosmological:8 neglected:1 sphere:1 minimum:2 attain:1 sharp:1 species:3 needs:1 acts:4 christlieb:3 simplicity:1 overdense:1 ubiquitous:2 jarrett:1 derived:2 plane:14 fe:7 waves:2 bloom:1 resemble:1 negligible:1 fundamental:2 kaufer:1 tolstoy:1 remnants:4 help:2 ejecta:8 ita:2 thermal:3 paper:3 through:1 jakobsen:1 existence:1 kinetic:1 energetics:3 style:1 rapidly:3 termed:1 energies:1 solving:2 recombines:1 late:11 absence:1 initializing:2 gustafsson:1 might:12 tentatively:1 good:2 cen:5 gadget:1 matteucci:3 yr:9 bryan:3 miralda:2 fully:2 presented:1 chandra:1 radial:8 found:9 characterized:1 heavy:3 weight:1 generation:1 energy:16 yoshida:18 expect:4 operation:1 beyond:1 since:10 virialization:3 research:1 si:2 equate:1 dominated:1 hill:1 induced:1 issue:3 occurs:1 offsets:1 rieke:2 imaging:1 beginning:1 noted:1 conducted:1 consequence:1 clump:1 relate:1 number:6 pisne:1 takada:1 temperature:22 introduction:2 leading:2 least:5 assumption:2 passed:2 molecular:5 smoothed:3 observations:1 nomoto:7 tfe:4 baryon:1 imprinted:1 part:2 authors:2 blondin:1 explodes:1 kind:1 anticipate:1 largely:2 determined:2 str:2 toward:2 treated:1 coolant:1 ages:1 randomly:1 substantial:4 headings:1 confirms:2 orders:2 mountain:1 self:4 onset:5 majority:1 entirety:1 build:2 analogy:1 frail:1 finding:2 unperturbed:1 2001a:2 2001b:2 5z:1 reach:2 most:12 experiences:1 significant:2 colliding:1 extremely:3 kb:4 deviations:2 dissolves:3 kh:2 km:5 omukai:8 velocity:14 physics:4 thomas:1 particularly:1 disturbances:2 relation:2 fine:1 find:30 impact:2 tomisaka:1 parameters:1 merger:1 distributed:1 factor:6 accurate:1 dominant:4 lyα:1 dependent:2 closely:2 during:3 silk:6 catches:1 resolve:2 arxiv:2 investigate:9 glover:5 rfe:8 set:5 undergoes:5 ara:1 see:32 individual:4 close:2 pisn:13 mechanically:1 stall:1 various:5 champagne:1 conditions:7 available:1 recently:2 creating:1 initially:3 interface:1 inertia:3 both:4 last:1 salvaterra:4 pds:4 previously:4 sensitive:1 finds:1 point:8 simple:6 corresponds:1 dimensional:2 throughout:2 create:1 due:12 pb:7 pc:9 coarse:2 anisotropic:5 ph:1 photoionization:1 modern:2 partly:1 ando:1 gas:46 gao:2 gal:1 understand:5 representative:1 extensive:1 uncertain:2 solid:2 wiedner:1 expanded:1 while:38 reliably:2 rix:1 fujimoto:2 faceted:1 apjs:1 theuns:1 frebel:4 shorter:1 highmass:1 emphasize:2 ray:3 composition:2 higher:3 used:1 comprehensive:1 moving:1 purpose:5 robust:2 identi:1 recent:1 dark:4 lower:2 analysis:4 edge:2 consistency:1 chemistry:2 lin:1 distances:5 shape:2 questions:1 turbulence:1 mres:1 dissociation:1 conclusions:5 source:3 location:2 relevance:2 input:1 heidelberg:4 euler:1 showing:1 emanating:1 helpful:1 follows:1 interestingly:2 adiabatic:7 shapes:2 flux:5 yields:7 unhindered:1 some:5 hartmann:1 sight:4 scale:1 chornock:1 per:1 l13:2 massweighted:2 foley:1 run:1 performed:2 nella:1 perpendicular:4 lasts:1 bs:7 piles:2 tracing:2 completing:1 simulation:36 range:3 consequently:2 tornatore:1 conserving:5 nsn:2 into:40 within:5 shed:2 predictions:1 appropriate:1 primarily:2 proportional:3 kay:1 institut:1 shea:4 question:1 specifically:3 battaglia:1 analyze:1 rees:1 governs:1 relaxed:1 szeifert:1 properly:1 atom:1 line:16 collapses:1 raising:1 persisting:1 characteristic:3 up:26 us:6 ur:1 fluctuations:1 similar:4 called:1 lunine:1 isobaric:1 constant:4 metal:32 influence:2 metals:17 λrt:2 vsh:2 single:4 coppi:2 stiavelli:1 tentative:1 dashed:7 preventing:1 department:1 draw:3 elements:2 kitayama:6 excitation:1 generated:1 allowing:2 structure:16 shchekinov:1 implies:2 algorithm:4 implied:1 far:2 requires:1 having:1 initiating:1 once:13 aoki:1 code:2 results:15 existing:1 ionize:1 edu:2 venn:1 hypernova:4 issues:2 nucleosynthetic:1 iii:16 concerned:1 contours:1 excluded:1 stable:1 lilly:3 dramatically:1 indicating:3 cenko:1 ionizing:5 continues:1 account:3 wave:6 electron:2 ralf:2 mixing:13 entire:8 francois:1 shock:99 ryan:1 enforce:1 concluded:1 smaller:2 jump:1 imply:1 enclosed:1 dynamics:4 λcdm:1 index:1 unavailable:1 giving:1 slight:3 analogously:2 cell:1 pristine:2 renders:1 sigurdsson:2 degree:1 respectively:1 outlying:1 focused:1 sink:3 riquelme:4 great:3 larger:5 shades:2 preferentially:2 resulting:5 implement:1 shaded:1 explain:1 scales:2 apj:72 apply:2 use:1 asymptotic:2 remains:4 jarosik:1 few:7 zcrit:2 gales:1 daigne:4 themselves:1 reflects:2 upcoming:1 becomes:29 occurred:1 normalized:1 minihalo:4 jappsen:2 hints:1 utexas:2 averaged:4 reproduce:1 column:1 ρr:1 thin:4 drops:2 proof:1 escapes:1 process:4 high:24 effectively:4 estimating:1 distinguishable:2 occur:4 regions:13 forest:1 galli:1 profile:7 honda:1 gardner:2 demonstrating:1 fits:1 tacc:1 efficiently:4 light:10 lines:4 subsequently:2 bins:1 mccaughrean:1 evolutionary:2 poor:1 kajino:1 interpreted:1 produced:2 overdensity:1 including:3 mentioned:2 galaxy:2 delay:5 outer:2 tsh:9 masses:3 underdense:4 li:1 meantime:1 lw:1 primordial:7 choose:1 orange:1 violating:1 mitigates:1 greater:1 outlined:1 material:13 innermost:1 disrupted:2 front:5 day:1 university:2 sufficiently:4 kpc:15 mode:4 l1:1 traces:2 constraints:1 homogeneous:1 wandel:2 related:1 frequency:1 our:22 out:6 minezaki:1 rep:1 rossi:1 socalled:1 postpone:2 common:1 ofek:2 volker:1 fluctuates:1 8b:3 8c:1 maintains:1 galaxies:9 8d:1 completely:2 supercritical:1 initialize:2 hubble:9 determining:1 could:12 frenk:1 times:16 length:5 audouze:1 davis:1 austin:1 reaches:1 mvir:6 reached:5 sedov:2 their:10 intermediate:1 final:16 low:11 shell:39 rsh:10 wollack:1 shallow:2 pressurized:1 nolta:1 dynamical:2 limiting:1 mackey:6 providing:1 steep:1 hz:1 fluctuation:1 st:23 apparently:1 clearly:4 acceleration:2 able:2 gravity:1 mechanism:2 mix:9 combining:1 hourglass:1 accuracy:1 unless:1 who:1 propagate:1 but:21 preliminary:1 omgren:2 volume:1 consequences:1 neighboring:22 deuterium:1 mechanical:6 rotating:2 bring:1 greenhouse:1 longer:3 staff:1 based:7 knowledge:1 surroundings:1 molecules:1 gradual:1 partially:1 local:3 hope:1 equilibrium:8 means:3 overall:4 penetrate:2 collisional:5 bondi:3 gray:6 processes:2 densities:7 haiman:3 lizano:1 hydrodynamic:2 view:1 shapiro:8 exerted:1 enhanced:2 madau:7 luminous:1 closer:1 phases:1 nature:5 state:2 exerts:1 identification:1 correctly:2 routine:2 crude:3 piston:1 boundary:1 photoionize:1 ends:6 explosive:1 reproduced:1 opening:1 importance:3 supernova:13 efficiency:4 reproduces:2 key:1 configuration:1 problem:1 kudritzki:3 taking:1 equal:2 komatsu:1 grain:2 eth:1 temporal:4 otherwise:1 detailed:9 rps:11 relevant:6 cm:12 conclude:5 vicinity:4 umeda:6 cs:2 respect:3 clampin:1 cavities:4 ricotti:3 addition:4 yam:1 treat:5 improve:1 aj:1 diversity:1 sufficient:2 bulk:3 improved:1 fellow:1 present:4 multi:2 harder:1 value:1 will:11 layer:1 almost:2 grenon:1 thus:12 site:1 vs:1 radiation:12 indistinguishable:1 unity:2 parts:2 units:1 residing:1 photoevaporation:2 effect:7 expand:2 tucker:1 concordance:1 off:2 center:2 nevertheless:4 well:18 position:5 arising:3 spherical:1 starforming:1 less:4 increasingly:1 loeb:9 obtain:2 satellites:1 preprint:1 density:44 aguirre:2 smith:6 extends:3 reformed:2 resolved:1 increased:3 fate:4 increases:3 five:1 immediately:1 loss:1 necessary:5 like:3 qualitative:1 ikeuchi:2 lose:1 become:10 barkana:2 quimby:1 fying:1 jlw:2 because:3 sequence:3 discontinuities:1 proper:2 arimoto:1 neglecting:1 transport:1 lead:3 demonstrates:1 does:5 hutchings:1 assuming:6 esn:5 mined:1 disentangle:1 expansion:27 stellar:8 pressure:24 host:21 although:8 offset:1 stage:3 about:9 carried:2 msph:2 universe:11 dependence:2 langer:1 introduced:1 µmh:1 software:1 h2:3 windhorst:1 h0:1 attains:1 primas:1 strasse:1 additional:4 snowplow:4 transfer:2 yoshii:1 smoothing:4 trigger:3 terminates:1 crucially:2 fechner:1 function:11 banerjee:1 triggered:1 preparations:1 astro:3 helmi:2 lowered:1 goals:1 hd:3 he:8 fragmentation:7 wise:4 evident:2 whether:2 gravitational:10 below:5 owing:1 limit:1 distribution:8 display:1 myr:32 denote:1 proceeds:1 compared:3 ingredients:1 detail:4 other:3 compares:1 details:1 quantities:2 wheeler:1 star:54 shown:3 metallicity:6 astronomy:5 weiland:1 starting:1 rule:1 expands:7 indirectly:1 peiris:1
|
0705.3049.txt |@word precise:1 katz:2 consider:4 similarity:1 aliev:1 interference:4 focus:2 extensively:1 cheung:1 scalar:9 generalize:1 consists:2 liao:1 contributions:1 γz:1 technique:2 vs:1 γv:1 finally:1 does:1 those:2 th:9 amplitudes:4 string:3 straightforward:1 kraus:1 very:3 mn2:21 conditions:1 corollary:1 witten:2 mixing:1 difference:1 exact:1 vast:1 perceived:1 sundrum:1 solution:2 erlich:1 large:4 discrete:2 adjust:1 small:6 gauge:5 equation:3 dis:1 zm:8 smaller:1 monotonous:1 sign:1 translating:1 zero:1 unparticle:43 zz:1 correlator:3 chen:1 qualitatively:1 cft:3 odd:1 tev:1 linear:3 spectral:2 trick:1 what:3 developed:1 chicago:1 section:3 lawrence:1 while:2 expressed:1 d3:1 current:1 axial:1 goes:1 values:1 increasing:1 body:1 condensed:1 notions:1 whose:1 never:2 spacing:4 here:6 understanding:2 following:6 inversion:1 resemblance:1 quark:2 appears:3 change:1 obtained:3 nth:1 study:1 studied:1 allows:1 suggests:1 amount:1 products:2 pick:1 geng:1 fourier:1 spacetime:1 emerge:1 via:1 ratios:1 scales:1 maldacena:1 meson:1 csaki:1 derivatives:1 use:2 would:4 contains:1 m5:2 dimensionful:1 nucl:2 sitter:2 kinematics:1 therefore:1 qcd:4 themselves:1 type:1 metric:1 more:6 wkb:1 duality:2 becomes:3 dxµ:2 apparent:3 odinger:1 dirichlet:1 normalized:3 particular:1 known:1 iii:2 must:7 reconstructed:2 account:1 recall:1 setup:2 mn:10 det:1 deu:4 ρo:6 theories:5 mt:2 regions:1 obvious:1 canonically:1 example:3 stimulating:1 mz:1 weaker:2 boschi:1 solved:2 neglected:1 states:4 karch:1 his:1 numbers:1 sense:3 counting:1 rescaling:1 end:1 notation:1 polchinski:1 thing:1 rather:1 discussion:5 breaking:2 off:1 write:2 far:2 nontrivial:1 behave:1 pure:1 instead:3 ordinary:1 parameter:4 sin:4 simplicity:2 description:1 may:2 after:1 φ2n:1 millimeter:1 applications:1 produce:2 constants:6 ooguri:1 dzz:1 lhc:1 effective:1 hadrons:1 spectra:1 explicit:2 electron:1 λ2d:1 element:1 so:4 allow:1 correlation:4 deconstruction:10 representation:3 order:4 hierarchy:2 indeed:2 over:5 displayed:1 interpreted:1 produced:1 course:2 paper:2 including:2 mentioned:1 converting:1 satisfies:1 its:4 controllable:2 selfinteracting:1 phenomenologies:1 decay:15 chosen:1 interesting:1 masses:5 xeiqx:1 boson:2 li:1 production:3 gtt:1 condition:3 consequential:1 hidden:1 imz:1 might:2 arguments:1 correspondence:2 non:2 noticing:1 introduce:2 scaling:5 couples:2 cutting:1 effects:1 they:1 now:2 discuss:1 easily:1 term:4 finite:8 explains:1 university:1 backgrounds:1 identified:1 hepth:3 merge:1 lepton:3 each:7 found:2 eu2:2 differential:1 doing:1 series:1 energy:3 hard:1 displacement:3 related:1 decays:5 dence:1 eu:3 our:2 eq:16 special:2 out:4 matrix:1 space:8 m2t:2 furthermore:1 since:3 squared:2 cancels:1 research:1 particles:15 re:3 contained:1 vector:4 braga:1 formula:1 ℓd:1 ref:15 math:2 theory:12 interactions:1 given:11 standard:9 bringing:1 clarify:2 dynamics:1 imagine:3 randall:2 beginning:1 shadmi:1 pairs:1 interaction:4 hamed:1 chiral:1 language:4 geometry:1 m25:4 could:1 ds2:1 used:1 bears:1 relativistically:1 place:1 massive:7 signature:1 onto:1 think:1 first:2 ding:1 there:6 rothstein:1 symmetry:2 xm:1 variables:1 number:1 dimopoulos:1 georgi:4 holography:1 done:1 another:2 carry:1 size:2 little:1 similarly:1 introduction:1 leading:1 eqs:1 goldberger:1 πn:1 system:1 their:3 assumption:1 fn:14 hypothetical:2 convention:1 variational:1 shell:1 grant:1 mostly:2 deconstruct:1 continuous:3 contribute:1 part:4 somewhat:2 x2:1 x3:1 x1:1 representing:1 than:3 approximation:1 hepph:2 determines:1 rate:2 limiting:4 inversely:1 matter:5 determined:1 amplitude:6 result:1 addressing:1 behavior:2 spectrum:10 manner:1 further:1 need:2 seen:3 any:2 viewed:1 strength:1 relationship:1 lim:3 latter:1 interferes:2 gravity:1 polarization:1 deconstructing:8 take:2 green:5 even:1 begin:1 exactly:1 shall:8 simplify:1 polyakov:1 device:1 measured:1 why:1 considered:2 clear:1 vertices:1 doe:1 electrons:1 physics:13 notion:2 fact:2 sector:7 signatures:4 subtly:1 show:4 violation:2 supported:1 notations:2 purely:1 spaces:1 relation:1 solutions:1 d4:3 trivial:1 find:4 principal:1 q2:2 based:1 knowledge:1 explain:2 negligible:1 peculiar:5 only:2 explicitly:1 cau:1 factor:2 kaluza:1 pointed:4 do:1 dm:4 above:4 klein:1 means:3 familiar:1 zurek:1 de:5 da:1 cannot:2 dz:2 words:1 despite:1 flavour:1 du:32 secondary:1 normalizable:3 continuum:1 fields:2 arxiv:28 gaur:1 summary:1 experiments:2 common:1 minkowski:2 through:1 fixed:3 view:2 exists:3 bounds:1 observed:1 see:2 truncating:1 discussions:1 correlators:1 fn2:9 subsequent:2 away:2 supergravity:1 uγ:1 smallest:1 between:3 invariant:7 boundary:6 approach:1 luo:1 attention:1 terms:5 missing:1 component:1 restricting:1 weak:1 physicist:1 however:1 realization:1 positronium:1 derive:1 extent:2 modeling:1 interfere:1 distribution:3 gmn:1 cot:1 many:2 taking:2 according:3 etc:3 dated:1 filho:1 quite:1 contribution:3 expression:1 finds:1 experimental:1 ansatz:1 necessary:1 point:3 simple:2 corresponds:1 high:1 dimensional:6 pole:4 anti:3 cancel:1 cp:1 considering:1 unusual:4 described:4 kinematic:1 due:2 been:3 relying:1 int:1 oν:1 much:2 asymptotics:1 interest:1 ph:15 define:2 direction:1 arises:1 controlled:1 new:1 bulk:2 maps:1 observe:3 understand:1 c2:3 c1:4 spirit:1 present:1 case:4 novel:2 pacs:1 contexts:1 value:5 will:7 cast:2 near:1 match:1 evaluating:1 gubser:1 property:2 conformal:8 couplings:2 procedure:5 klebanov:2 brodsky:1 mz1:1 mz2:3 coupled:1 almost:1 vi:2 refs:3 5th:3 thus:7 surprisingly:1 iv:1 ii:1 reads:1 itself:1 im:2 dual:1 superconformal:1 compactified:1 different:3 author:1 generic:1 same:1 proceeds:1 emphasize:1 grand:1 units:1 dimensionless:2 several:2 φn:6 literature:1 peaks:1 hand:1 viewing:1 purpose:1 infinite:2 invariance:4 yuan:1 normalization:1 recent:2 implements:1 lower:1 weakly:1 schr:1 modes:7 nevertheless:1 yan:1 well:2 analysis:2 thought:1 patterns:1 without:1 coordinate:3 model:15 dimension:14 usual:1 unified:1 lagrangian:2 λu:2 less:1 when:1 glueball:1 obtain:2 thanks:1 integer:3 scattering:1 λn:16 adv:2 note:2 adu:7 ads:11 density:2 cornell:1 wei:1 extra:4 signals:1 add:1 lett:7 easy:2 5d:1 oµ:7 momentum:1 real:2 depends:3 couple:1 papers:1 iε:8 possible:4 increases:1 holographic:2 five:1 abound:1 background:1 world:1 stephanov:3 2mt:6 displaced:1 theor:3 pertinent:1 particle:10 follows:2 manifest:2 specific:2 either:1 tower:7 works:1 qz:2 mathematical:2 truncated:2 phenomena:1 proportionally:1 self:1 understood:1 elements:1 curious:1 neglecting:1 nonzero:3 scale:10 dimensions:2 lead:1 opposite:1 integration:1 mesons:1 critical:2 prof:1 power:3 vertex:3 agreement:2 constructive:1 broken:1 although:1 substitution:1 concreteness:1 imaginary:6 properties:8 about:2 usa:1 most:1 pλ:1 factors:1 o:20 range:1 oz:1 mean:2 therein:1 discretization:1 rev:7 mλ2:1 presence:1 into:5 integral:6 son:2 phase:1 determine:1 operator:14 proportional:7 pomarol:2 scenarios:1 rely:1 hep:23 additional:1 comparing:1 jhep:3 exposed:2 transform:1 strassler:2 quadratic:1 way:1 ψn:2 valley:1 propagator:1 naturally:2 function:13 form:2 energies:1 some:4 keung:2 but:9 idea:1 volume:1 neutral:1 construction:1 true:1 coupling:8 made:1 zhu:1 wish:1 τd:3 up:1 us:9 below:3 limit:7 how:5 sum:6 terning:1 problem:2 similar:3 average:1 strongly:1 required:1 constant:3 ad:1 defined:1 certain:1 abstract:1 describe:5 dvali:1 modify:1 conserved:1 lifetime:4 dγ:2 nonrenormalizable:1 2du:6 again:2 paradox:2 rederive:1 no:4 teramond:1 index:1 deconstructed:1 noninteger:1 generally:2 vanishes:4 virtual:2 illinois:2 field:22 other:5 rold:1 normal:3 spatial:1 department:1 massless:1 balasubramanian:1 operators:1 picture:1 ads5:5 models:1 problems:1 meaning:2 slice:2 peak:3 xeip:2 desert:1 arkani:1 correlated:1 implies:1 unparticles:6 using:7 weiner:1 assume:8 resolution:1 interval:3 confinement:1 mass:17 n1:1 n2:2 requires:1 once:2
|
0705.3050.txt |@word represent:1 positions:1 partial:3 consider:3 pti:10 illustrates:1 caused:1 rob:1 lack:2 dynamic:2 results:10 month:1 illustrated:1 facilities:1 per:4 bandits:1 compliance:1 consists:4 follow:1 settlement:25 decisions:8 issues:3 payoff:39 adjust:1 whose:3 fits:1 calculate:1 iii:2 concerned:1 technique:1 should:4 young:3 endogenously:1 spillover:1 environment:5 finally:4 does:1 chaps:5 those:3 excluded:1 under:11 stochastic:4 must:2 sent:1 pei:2 brown:3 updated:4 comparatively:1 risk:11 downstream:1 without:2 very:4 frequencies:1 social:1 rise:1 differently:1 seemingly:1 focus:2 implicit:1 chooses:2 wishes:1 every:2 rationality:2 suggests:1 entries:1 affect:2 little:2 final:1 learners:1 vast:1 disconnected:1 version:1 randomness:2 gov:1 arnold:1 level:10 did:1 cause:2 large:8 discrete:1 settle:2 discounting:1 small:1 provided:1 markov:1 mutation:1 noted:3 unaware:1 disclaimer:1 smaller:2 force:1 organised:1 james:3 penalties:1 guidelines:15 maximization:3 hti:1 maintain:1 past:2 likely:5 cost:29 design:1 perspective:2 concludes:1 further:3 dynamics:1 functioning:2 makers:1 linear:1 cambridge:2 aim:1 what:3 abundant:1 plays:3 appear:2 fact:5 section:9 probably:1 induce:2 expressed:1 uniform:1 access:1 consistently:1 experiment:1 goes:2 reply:3 net:3 increasing:5 telecommunication:1 public:1 contrast:1 publications:1 collateral:4 drastic:1 dictates:1 exchange:1 mechanisms:1 angelini:3 prescribe:1 equals:1 here:11 behaviour:10 following:9 bech:7 sink:1 others:6 consideration:1 along:1 strong:1 observing:1 appears:1 change:6 extreme:4 obtained:4 search:2 balance:4 incoming:4 sender:1 receive:5 averages:1 study:2 losses:1 approaches:1 experience:2 queue:2 credit:12 aki:7 simultaneous:2 products:1 poisson:2 situations:2 action:22 adopting:1 narrow:2 makes:3 boe:1 payoffs:21 composed:1 via:2 useful:1 members:1 figure:22 extra:1 distributed:1 manage:1 prefer:4 private:3 analyzing:1 send:1 fbe:1 viz:2 prompt:1 total:15 univ:1 approximating:1 market:1 opponents:2 turnover:2 presents:1 use:9 charge:2 takes:4 would:14 levine:3 probabilities:3 developed:1 deviations:1 played:2 only:9 centrality:1 scenarios:3 few:3 circumstances:1 foster:2 call:3 therefore:1 criteria:1 taken:2 indistinguishable:1 fudenberg:3 markets:2 until:4 more:23 flat:3 optimizing:1 rn:1 knows:1 initial:5 benchmark:1 ellison:2 disruption:1 profiles:4 former:1 particular:6 known:6 rare:1 cases:1 hold:2 effort:1 insights:1 customer:1 sample:1 keeping:2 ma:1 beneficial:1 science:1 work:4 believes:2 attacks:1 remain:3 sudden:1 incidents:5 three:1 learn:4 growing:1 strategies:14 arrive:1 obtain:2 example:3 history:4 reduced:2 nearest:1 compare:1 proprietary:1 figures:2 links:1 give:1 process:14 lock:1 agent:11 high:15 assumptions:2 imitation:1 want:1 sense:1 standard:3 keep:2 yet:1 evidently:3 gains:1 normalize:1 information:15 respective:2 end:4 turn:4 rather:1 verify:1 acts:1 range:2 occur:2 delay:53 maps:2 varies:1 occasionally:1 party:1 pure:1 instead:7 flow:2 absolute:2 parameter:4 priori:1 profile:10 map:1 product:1 fs:1 description:2 influenced:1 may:12 max:2 after:3 containing:1 walk:1 applications:2 tries:2 explored:1 studies:2 insufficient:2 account:3 monitoring:2 choice:1 data:3 response:1 addition:1 pronounced:1 shortcomings:1 short:2 third:2 helsinki:1 light:1 sensitive:1 correspond:1 introducing:1 element:1 complexity:2 fictitious:7 so:18 allow:2 correlation:1 banks:84 playing:2 unavailability:1 typical:3 operations:3 maximisation:2 interpretation:1 produces:1 september:2 indeed:3 over:8 move:2 facilitated:1 making:4 trade:4 produced:1 minimize:1 paper:10 through:4 preliminary:1 committed:12 still:2 its:17 before:2 machine:1 derive:1 thank:1 fit:8 beliefs:3 chosen:1 interesting:5 temporal:1 expectations:1 li:2 forms:2 attraction:1 parts:1 choose:8 constitutes:1 policy:4 mail:2 main:2 might:7 create:1 overcome:1 yi:5 whereby:1 them:4 good:2 motivated:1 modelled:4 than:6 views:1 exogenously:2 qualitatively:1 processes:1 sooner:1 bound:1 try:1 effects:3 they:11 optimal:6 accumulate:2 feature:1 strategic:1 day:18 bank:45 instructions:10 brouwer:2 execute:3 finite:1 publication:1 always:4 university:1 presented:1 finance:2 events:1 unpredictable:2 quest:1 participant:1 reasonable:1 each:19 disregard:1 found:3 2n:1 difficult:1 queued:1 associative:3 referred:1 individually:1 illiquidity:1 england:6 simplicity:1 series:2 eg:1 frequency:1 reduce:3 related:3 myopic:1 literature:6 static:2 ex:1 implicitly:1 cascades:2 our:10 operation:1 interrelated:1 kimmo:2 special:1 out:4 leave:1 shown:3 reducing:2 funding:1 network:8 forty:1 research:3 increase:11 specifications:4 participants:5 vector:3 adapt:1 rational:2 denoted:3 adaptive:3 illustrate:1 issue:1 occurs:2 shows:4 exactly:1 wiley:1 theory:9 interactions:1 easily:2 commits:1 contain:1 incentives:2 given:13 possibility:1 quite:1 release:1 regulators:1 necessarily:3 corresponding:1 term:1 stems:1 imagine:1 ask:1 estimate:10 rises:1 beginning:2 generate:2 care:1 definition:1 interaction:2 kept:1 iss:2 rule:10 could:7 transition:1 iterative:1 days:7 times:3 bears:2 length:3 place:6 exponentially:2 assumed:5 hence:12 configurations:1 think:1 shortage:1 first:13 journal:5 πi:4 probability:3 feel:1 mit:2 potter:2 number:18 contributions:1 system:41 expensive:4 clear:3 symmetry:1 inhibits:1 deadlines:1 another:1 fi:3 carry:2 reached:3 array:1 fluxes:1 size:11 sheer:2 management:3 actual:1 sampled:1 decrease:1 similarly:3 introduction:3 unknown:6 interact:1 trillion:3 πn:1 equilibria:14 adopted:3 perceived:1 their:23 returns:1 assumption:5 observations:1 realization:2 summarized:1 countries:1 ranging:2 permutation:1 gives:2 free:1 relationship:4 using:2 estimates:1 contains:1 continuous:3 realized:1 immediate:7 xδ:1 larger:2 part:1 extensions:1 simulate:3 authors:2 zδ:1 discounted:1 believe:1 unrealistic:1 interbank:8 updating:3 undefined:1 december:1 observed:6 kind:1 target:2 require:2 instruction:5 second:7 aims:1 limiting:1 seminars:1 nevertheless:2 determined:4 contrary:1 historical:1 were:6 posit:2 negatively:1 exposures:1 inferring:1 collecting:1 lowest:2 fashion:1 better:1 ran:1 unchanged:3 koopmans:1 glass:2 simulating:1 randomly:2 already:1 say:1 manner:1 close:3 need:3 seen:2 regulate:1 modality:1 seminar:1 relatively:3 forced:1 eq:8 realm:1 zero:3 min:2 efficient:1 convenient:1 latter:2 cope:1 able:2 si:1 incentive:1 stability:1 note:2 causing:2 take:1 simplified:1 unsettled:1 indexed:3 new:4 fifo:1 subject:1 explanation:1 memory:1 play:12 towards:1 multiple:1 components:1 normal:1 any:11 quote:1 who:2 most:2 connecting:1 experiences:1 ht:1 rationale:2 position:2 phase:1 analytically:2 payment:51 sub:2 sutton:4 relates:2 don:1 lacker:2 wish:1 calculated:4 later:3 cover:2 neutral:4 physica:1 order:5 looked:1 federal:3 trapped:2 points:1 disruptions:2 differ:1 typically:3 institutions:1 came:1 reserve:3 precise:3 selected:2 phenomenon:1 ones:1 show:3 agreed:1 random:7 terminate:1 topologies:1 least:1 converge:1 injected:1 evolutionary:4 solutions:1 diminish:1 guideline:1 find:8 promptly:2 staff:2 impact:9 current:2 indicator:1 submit:1 ratio:16 knowledge:2 parameters:4 daily:5 delays:28 heavily:1 basel:1 histories:5 operational:13 xi:2 entities:1 theme:1 unable:1 specify:1 rich:1 factor:3 local:1 pay:4 perturbations:3 equilibrium:7 resulting:1 do:6 ties:1 settlements:1 above:2 compounded:1 means:3 dependent:4 stop:1 fluid:1 yielded:1 among:5 affecting:1 cannot:7 simulated:1 actions:29 words:2 invariant:1 timing:1 dt:2 ds:1 volatility:4 settling:1 krishna:2 evolution:2 intuitive:2 ended:1 encounters:1 arxiv:1 adhering:1 σai:1 yield:3 posting:2 schlag:2 banking:4 investigate:6 experiments:2 common:5 hybrid:1 activity:3 analytical:2 london:1 externalities:1 fixed:1 anticipate:1 available:9 set:9 statistical:1 observes:1 imitate:1 generally:4 fe:1 replies:1 outgoing:2 extremes:1 relative:2 manning:1 see:10 computer:1 reinforcement:5 arg:2 terms:3 calendar:1 theoretic:2 λi:2 best:7 techniques:1 regulator:1 kandori:2 learns:1 matter:1 ways:1 pattern:1 review:3 nature:1 equal:3 consequence:3 tend:1 case:13 enough:8 future:3 various:1 york:3 between:17 tens:1 drawn:3 approach:6 across:6 wide:2 arrival:6 multiplied:3 never:1 recently:1 ability:1 receivers:2 confusion:1 aversion:1 however:14 efficiency:2 incident:9 outages:1 jointly:1 extent:1 upfront:1 analyzed:1 distribution:4 improve:1 both:9 outcome:3 last:1 chain:1 positively:1 many:4 taking:3 annual:1 explore:3 foreign:1 participating:1 april:1 queuing:1 games:13 context:1 faces:2 requests:1 mean:1 whole:4 comes:1 otherwise:1 seminal:1 regulates:1 co:1 key:1 stream:2 point:5 simple:4 effective:1 recycling:1 specification:6 corresponds:1 cd:1 dimensional:1 pm:2 maintained:1 agents:24 adaptation:3 learning:33 experiencing:1 cs:1 constant:8 production:1 throughout:2 considers:1 watkins:2 penalize:1 sensible:1 described:1 basis:5 holdings:3 millard:1 arbitrary:2 informed:3 due:8 been:2 strategy:11 insensitive:1 ai:30 reduction:1 workshop:1 pg:1 interest:1 likewise:1 expected:9 adoption:1 topology:2 recurring:1 summary:1 systems:20 resting:1 liverpool:2 partly:3 received:5 sufficient:1 requires:1 modelling:2 else:1 moment:1 proportional:1 observe:3 understand:2 external:1 demand:27 bayesian:2 consecutive:2 repetition:2 assigning:1 spirit:1 present:4 applied:2 preferences:2 multi:4 troubled:1 blume:2 look:3 exponential:4 reliable:1 originate:1 empirical:1 value:11 choices:6 will:1 technical:1 while:6 suppose:3 behavior:2 applies:1 report:3 situation:3 property:1 mitchell:2 unlikely:1 represents:1 uncertainty:3 costly:4 coupled:2 vol:5 assigns:2 delaying:5 thus:5 non:2 according:3 ii:3 player:1 ik:4 itself:3 cpss:1 precision:1 late:1 turns:1 aspects:1 technology:1 netting:3 around:1 result:1 exploitation:1 different:9 terrorist:1 develop:2 players:4 maximising:1 executed:4 make:5 amount:9 same:8 clearly:3 complex:4 potentially:2 virtually:1 units:7 throughput:14 gets:1 start:3 european:2 sterling:3 independent:3 calculation:1 used:6 infinity:1 receives:3 benefits:2 numerical:1 upon:1 effect:8 counterparts:1 hand:2 allocation:1 average:13 running:1 levels:5 uses:1 spaces:1 supposing:1 aggregate:3 frequently:1 dayan:2 boundedly:1 opportunity:2 recent:2 recognized:1 lower:2 suffices:1 off:4 maximizing:4 scenario:5 largely:2 percentages:1 settled:3 possessed:1 depending:1 well:3 increases:5 analysis:3 penalty:2 intervals:1 authoritative:1 exceedingly:1 costs:49 solve:1 representing:1 gain:1 consistency:2 claims:2 model:24 away:1 usual:1 surprisingly:1 mapped:1 less:6 being:4 money:3 half:2 domestic:1 brute:1 competitive:2 sources:2 shape:2 stored:1 collects:1 integer:1 campbell:2 alternative:3 univariate:1 coordination:3 multiples:1 previous:3 profitable:1 heuristic:2 gather:1 now:2 interestingly:1 conclusions:2 base:2 cl:1 seems:2 except:2 discuss:1 source:2 setting:3 rtgs:2 overview:1 usage:1 limits:1 match:1 real:5 adopts:1 marco:2 march:1 increased:6 depends:1 demands:1 rules:5 replaced:1 repetitions:1 possible:8 period:1 early:2 possibly:1 game:30 predetermined:1 know:2 performance:2 press:2 immediately:2 λai:1 designers:1 bis:1 formal:1 phenomena:1 imposed:3 like:1 submission:3 shaped:4 follows:2 reduces:2 sizes:1 preference:2 comparability:1 securities:2 payments:49 alternatively:2 multiplicative:1 simply:2 revision:1 essential:1 lends:1 www:1 because:13 maximize:1 namely:1 sequence:4 conditional:2 some:16 approximations:1 proportionally:1 econometrica:3 ante:1 experienced:2 shortcoming:1 choosing:1 statistic:2 unless:1 biological:1 committing:1 gross:5 gradually:1 scale:3 undisturbed:1 sufficiently:2 armed:1 decision:5 summed:1 paying:1 comments:1 quickly:2 defined:1 critical:1 exposition:1 unit:3 assuming:1 converged:3 experimentation:1 imply:1 either:1 varying:2 run:2 indicated:1 plot:1 post:1 retains:1 equivalent:1 processing:3 aj:1 monetary:1 trivial:1 how:4 ratios:1 become:2 characterized:1 relating:1 refers:1 properties:1 stage:24 comparison:5 about:15 suggesting:1 central:6 working:2 constraint:1 instantaneously:1 based:1 ranges:1 generated:2 realistic:2 simulation:6 remains:2 carries:1 a2:2 ensure:3 realism:1 done:1 mixed:1 commit:10 introduced:1 subjected:1 other:26 equally:1 own:6 plenty:1 presence:1 previously:1 into:6 within:4 commitment:1 balances:5 down:2 pages:15 exploiting:1 references:1 approximately:2 financial:4 next:2 conventions:1 intraday:13 tenth:1 statistics:3 span:1 additional:2 transfer:1 buckle:2 there:8 question:3 limit:1 long:4 why:3 strict:1 accordingly:1 describes:1 low:16 irrespective:1 was:3 chunk:1 function:34 compensate:1 economics:1 complete:2 form:1 ed:1 something:1 funds:21 differences:1 delayed:2 but:11 sophisticated:2 collected:2 repeated:3 state:1 link:1 repeatedly:2 learned:2 convergence:9 implies:1 line:2 highest:2 true:2 illustrative:1 made:5 flavour:1 calls:1 full:2 whether:1 type:1 smooth:1 up:8 us:3 international:1 economic:7 exploration:8 uk:3 sum:2 continuously:1 demonstrate:1 problem:4 define:2 similar:3 called:2 congestion:1 mechanics:2 changes:5 adopt:3 associated:3 heterogeneous:1 classic:1 homogenous:1 certain:4 abstract:2 describe:1 strand:2 exogenous:2 single:2 periods:2 simulations:10 orders:2 formally:1 distributions:1 union:1 inc:1 again:1 functions:4 compared:3 discriminate:1 no:18 amounts:3 barto:4 higher:3 when:17 nx:2 federation:1 fairly:1 interested:4 details:2 cybernetics:1 becomes:4 department:1 mathematics:1 you:1 flows:2 conclusion:1 deviation:2 draw:2 lend:1 models:2 outage:1 problems:1 return:1 much:2 a1:2 develops:2 important:2 bounded:3 massachusetts:2 studied:1 variable:1 transfers:3 priced:1 reason:1 needed:1 matrix:1 severe:1 individual:4 longer:3 algorithm:2 tested:1 assume:4 values:4 interval:3 curve:2 governed:1 liquidity:112 tradeoff:1 investigated:1 correlates:1 incomplete:4 time:24 far:1 failures:3 nash:5 starting:2 avoid:4 once:1
|
0705.3051.txt |@word replacing:3 gw:2 dist:86 gr:2 m2p:1 enseignement:1 global:1 invent:2 acad:1 rˆ:1 proposition:28 edu:2 sci:1 disk:1 2r1:3 consider:1 compact:66 λij:2 inverse:1 tz:4 λim:1 ty:1 aui:4 show:9 noncompact:7 λid:4 finally:7 tj:8 γm:2 under:3 analogous:2 p2:5 very:1 choice:17 balls:1 every:74 reordering:1 entries:1 convexity:25 dim:4 distg:8 irreducible:43 michael:1 disth:3 t0:4 t1:12 pullback:2 discrete:2 vector:12 independence:1 rν:3 small:15 eigenvalues:3 λi1:5 cni:1 dαi:7 upper:1 neighborhood:101 zi:3 dealing:1 direct:1 fold:1 second:3 rui:1 further:1 reine:1 even:1 index:5 ramachandran:3 diam:7 3r:3 sum:5 while:2 uniform:23 ˆb:5 version:4 sur:1 above:16 kyoto:1 construction:6 rd:7 satisfy:5 vjν:2 notions:1 q0:9 respectively:14 lipschitz:2 component:24 proc:1 here:2 desired:2 objects:1 tangent:16 groups:1 xν:11 narasimhan:2 path:11 along:2 strong:25 z0:1 appears:1 logarithmic:2 obtained:3 remark:3 tx:2 subsolutions:1 riemenschneider:2 vectors:2 allows:2 xsing:1 paris:1 resulting:1 domains:2 suitable:2 honor:1 ˇi:1 diameter:3 showing:1 homotopic:4 classification:1 inducing:1 vii:3 replace:1 tp:19 apply:3 plurisubharmonic:55 use:1 quasi:9 zis:1 would:1 lemma:26 distinct:9 positive:47 contains:11 negative:1 sµ:3 germ:1 call:2 therefore:14 taken:2 associated:9 vj:36 more:6 cnj:1 elliptic:1 operators:1 surjection:1 vi1:2 particular:15 projective:5 imbedding:1 iv:16 iii:18 td:9 tx1:1 must:7 md:22 isomorphism:2 rα:3 grant:1 recall:3 work:2 mi:2 modified:1 paragraph:1 values:2 mp:4 containment:1 following:33 meet:2 my:1 example:6 address:2 proof:26 f0:5 claim:4 indicated:1 give:2 purposes:3 generically:1 cation:1 νd:2 mannigfaltigkeiten:1 numbers:3 sense:2 mohan:1 iφ:1 guarantee:3 goal:5 siu:2 mutually:1 rather:1 verify:5 holds:16 xˇ:2 id:6 write:4 embeds:2 pure:2 instead:1 analytiques:1 νj:2 fp:5 map:11 product:2 isomorphically:4 singular:4 may:85 max:6 singularities:3 mapping:16 collection:7 diagram:1 consequence:1 levi:7 produce:3 inst:1 date:1 representations:1 fj:8 lifting:11 man:1 natural:2 varieties:1 imply:1 whenever:5 author:1 correspond:1 element:1 sj:4 si:2 so:26 sm:2 representation:3 lν:1 order:5 terms:1 restriction:7 helv:1 colt:4 vary:1 256k:2 produced:3 paper:4 through:2 aθ:2 existence:2 satisfies:7 ohsawa:2 thank:1 sν:13 maps:7 summands:1 sheaf:7 actually:1 better:1 degrees:1 choose:50 fid:4 covered:1 main:7 deformation:4 finer:1 maximal:1 them:1 usa:2 greater:2 entire:1 conversations:1 yb:2 cutting:1 rρ:3 symposium:1 funktionen:1 singularity:1 now:20 easily:3 gets:1 stated:1 2r:1 lies:2 always:2 university:2 grows:1 orthonormal:3 sufficiently:18 inequality:2 each:143 entirely:2 traces:1 side:1 mean:2 subset:41 ei:2 streng:1 ej:5 list:1 osaka:1 fr:2 ifold:1 elementary:1 used:1 ex:3 combining:2 ous:1 our:3 eq:4 large:8 space:67 open:51 furthermore:6 since:34 induces:3 research:1 gˇ:3 gˆ:78 contained:8 rm:1 induced:2 suffices:1 ri:4 math:17 fiber:2 linear:11 mσ:12 diagonal:1 analytische:1 standard:2 admits:6 indices:12 elsewhere:2 λi2:1 publ:1 e1:4 generate:3 care:1 definition:6 pairs:4 r0:34 r1:21 r2:12 tν1:2 phrases:1 could:1 nonnegative:25 length:8 place:2 hence:32 onto:7 support:6 first:9 rand:1 xi:2 ysing:4 bijection:1 mistakenly:1 pa:2 number:7 exhaust:1 ℓh:1 u3:3 another:1 fi:9 αui:5 precisely:4 ℓg:8 min:2 given:41 checked:1 similarly:3 introduction:2 top:1 dfp:1 construct:2 zσ:25 constants:10 πt:11 submersion:3 easier:3 gives:1 holomorphic:45 vid:2 lehigh:2 statement:4 tuple:2 continuous:33 immediate:1 required:9 part:9 authors:2 than:5 finitely:3 distance:6 νm:3 determines:1 princeton:3 fundamental:1 require:2 zero:2 subsequence:2 determined:2 µr0:3 µr1:1 µr2:4 were:1 bethlehem:2 sp:51 generality:6 rθ:2 ann:5 subvarieties:1 tuples:1 say:6 angew:1 cσ:1 tψ:2 need:6 seem:1 any:30 relatively:23 lie:1 xreg:1 mappings:3 depending:1 check:2 convenient:4 converges:1 note:8 ideal:6 lifts:2 2g:3 take:4 tp1:3 interior:1 fj1:2 mit:1 miyazawa:1 exactly:3 unless:1 allow:2 trace:5 normal:1 sets:25 chart:1 metrics:4 most:4 satisfying:8 connected:93 remarks:4 class:70 tν:27 neighborhoods:25 considered:1 ki:6 later:1 stronger:2 fritzsche:2 countable:1 points:5 demailly:7 subharmonic:2 section:11 fact:4 applied:3 science:1 hyper:1 nonpositive:3 supported:1 spaces:14 subvariety:1 analogue:1 trivial:1 agrees:1 d1:4 o:27 specifically:1 based:1 parameters:1 ocn:1 λt:2 retraction:2 terminal:1 analytic:56 only:22 local:34 continuity:1 do:4 dm:4 triangle:1 dh:1 get:36 df:1 de:8 words:3 ϕj:1 ϕd:1 dt:5 du:2 vk:3 closure:1 covering:51 equality:1 conditions:10 arxiv:1 greene:2 supp:10 komplexen:1 contain:3 qi:15 nondecreasing:6 forster:1 qj:1 wrote:1 riemannian:2 set:78 exists:41 dα:1 j1:8 maximum:1 relative:11 see:22 computer:1 college:1 result:5 w0:13 close:1 dµ:1 best:1 subject:1 co1:3 co2:2 αu:1 uκ:1 away:1 ensures:1 µr:1 symmetric:2 outside:1 classes:2 chosen:1 closed:6 between:1 αi:20 hold:2 αm:2 verification:8 embeddings:1 wa:1 modify:2 complement:2 uj:25 weak:1 however:1 jm:3 wu:2 inclusions:1 ji:1 key:1 jd:7 amer:3 problem:1 topology:7 both:4 last:1 reverse:1 many:4 taking:1 0y:1 according:9 homotopy:1 april:1 les:1 und:1 efficiently:1 embedding:20 fix:12 otherwise:1 comment:1 co:2 cn:21 point:63 qa:1 others:1 cohomology:1 cf:2 cd:4 dimensional:14 simply:2 sequences:1 respect:10 throughout:2 cv:1 fra:4 described:1 commutative:1 aˇ:3 piecewise:15 union:23 locally:14 ai1:2 been:1 quickly:1 ai:11 much:1 rr1:1 pj:2 pk:2 pi:2 meeting:2 ak:6 exhaustion:22 define:9 surjective:1 generating:1 aj:7 corresponding:7 contractible:6 restrictions:2 subspace:6 observe:13 mail:2 general:4 manifolds:4 aid:2 case:7 p1:9 bρ:2 subsets:16 bσ:4 contexts:1 uis:4 ais:2 choices:4 will:46 euclidean:1 near:13 suppose:16 viii:6 situation:1 property:6 θi:2 loop:5 tµ:3 independent:2 find:1 cartan:1 vi:56 metric:34 grauert:2 thus:29 equal:18 ii:12 vq:3 im:10 triple:2 ia:3 cumbersome:1 containing:8 verified:1 fibers:1 same:3 clearly:5 liftings:2 complex:45 arguments:3 weakness:1 modification:1 proved:1 finite:15 composition:1 higher:1 meets:5 ball:1 infinity:1 ni:2 i1:12 i3:1 i2:1 nj:1 hand:4 v0:11 v1:10 v2:9 v3:6 infinite:8 invariance:1 identity:1 fourier:1 off:1 acknowledgement:1 valued:7 well:11 analysis:1 ujm:1 without:6 jnr:6 components:46 fixing:3 coordinate:3 model:21 dimension:18 manifold:14 less:1 being:1 stetige:1 obtain:2 identify:2 using:2 facts:2 λj:2 λi:6 previous:3 preprint:1 family:4 lebesgue:2 grenoble:1 16k:1 smith:2 patching:2 add:1 other:7 easy:5 theorem:19 convexes:1 build:1 real:10 remmert:2 iν:3 stein:10 isomorphisms:1 biholomorphism:1 sums:3 harmonic:2 pluripolar:1 department:2 fi1:4 know:1 press:1 integer:9 unique:4 moreover:8 like:1 loss:6 modifications:1 necessary:2 helpful:1 semi:1 follows:17 holomorphically:1 yields:1 either:2 works:1 reduced:23 terminology:1 depend:1 ngˆ:11 right:1 sequence:3 some:45 espaces:1 b0:7 b1:1 choosing:7 convex:24 proper:23 multiple:1 extended:1 zariski:5 nonzero:4 dense:2 dimensions:1 nonempty:4 exhausts:2 does:2 connecting:1 provides:2 chains:1 minimal:1 refer:1 bg:12 problems:1 equivalent:1 bh:1 duj:2 bk:1 nowhere:2 notation:3 properties:27 injective:2 submanifold:2 rearrange:1 working:1 extension:5 prove:2 oa:1 remains:3 extensions:3 ox:2 introduced:1 slightly:1 automatically:1 converging:1 jν:2 soc:1 convergent:1 inclusion:1 into:16 isomorphic:1 nsf:1 pair:8 hermitian:37 because:3 references:1 frames:1 λj1:2 log:19 vˆ:1 assumed:3 strictly:31 there:63 u1:5 u0:11 fast:1 u2:8 exchanging:1 smoothing:1 inner:1 m1:1 exceptional:1 was:2 function:183 complete:4 form:15 forming:2 but:8 continu:1 bochner:1 properly:9 partially:2 made:1 applying:6 embedded:8 versions:1 whether:1 smooth:2 up:2 different:1 ωi:3 record:1 ωj:25 ui:49 empty:1 uk:1 coverings:10 embed:1 similar:4 called:2 strongly:20 θj:4 interval:2 constant:32 defined:2 cover:1 abstract:1 ez:2 condition:18 denote:9 single:1 dν:60 exist:2 families:1 inf:1 dρ:3 bishop:2 constructed:1 again:3 functions:35 completeness:3 no:11 galois:1 image:1 when:2 pp:1 disjoint:5 setting:17 retract:2 mathematics:3 nr:16 ns:2 elements:1 expressible:1 models:1 uniformly:4 bundle:1 a0:15 a2:2 bounded:4 napier:24 vj1:1 variable:1 structure:4 independently:1 implies:3 monic:1 assume:21 factors:4 curve:2 together:1 notion:3 exhausting:1 equivalently:1 lying:1 restricted:1 n0:1 once:1 resolution:2 original:1 evenly:1
|
0705.3052.txt |@word aided:1 magnetic:6 luminosities:1 parameterization:1 whose:4 calculate:1 ergs:1 presents:1 under:3 updated:1 rise:3 inhibit:1 vector:6 enhance:2 hora:1 force:13 migrates:1 consistent:1 direct:2 approximation:2 surrounding:2 second:3 inflating:1 currie:3 blue:4 complexities:1 selected:1 consequent:1 bipolar:42 above:8 ney:2 net:1 kicked:1 simultaneously:7 never:1 here:7 deposition:1 mex:1 obtained:1 study:3 ignoring:1 zickgraf:4 cancellation:1 achievable:2 total:1 circumvent:1 unit:5 plot:2 would:7 negative:1 kinematics:1 therefore:4 type:2 hoffmann:1 disruption:1 hofmann:1 must:5 springer:1 pursue:1 work:3 theories:1 temperatures:2 root:1 example:1 wang:4 indicated:1 give:1 walsh:1 cursory:1 end:1 hoc:3 feature:2 how:4 hot:9 significance:2 answer:1 after:5 diagram:1 outbursts:1 attempt:2 third:1 complexity:2 operate:1 order:4 wind:42 hashimoto:1 over:10 expects:1 thesis:1 fidelity:1 exhibits:1 better:1 production:3 differently:1 them:2 8gm:1 combination:1 collide:1 effects:11 they:4 represents:1 bartol:1 reasonable:1 each:7 side:3 telescope:1 independent:3 series:1 principles:1 substantially:1 rp:7 driving:9 re:3 grebel:1 outburst:4 foundation:1 l207:1 icke:1 given:7 standard:1 formation:4 r4:3 r0:5 r2:2 creates:2 ism:1 signature:1 onto:1 speeds:5 already:1 features:1 primary:1 thick:1 cartesian:2 similarly:2 approximately:1 needed:2 ballistic:2 observations:7 eqn:2 collapse:1 enhancing:1 somewhat:1 l9:1 scenario:18 showed:1 likely:2 seated:1 normalizing:1 matter:1 feeling:1 solely:1 lbv:7 mind:1 spectrum:1 hajian:1 seen:15 seem:2 relatively:2 realm:1 latter:1 forces:2 davidson:12 even:8 exactly:1 prevot:2 though:4 object:1 involving:1 phase:5 bsg:7 treats:1 calculated:1 accounted:1 principle:1 notion:1 incorporate:1 radii:3 solutions:2 subtle:1 iaus:1 explain:4 specify:1 velazquez:2 do:3 rivinius:2 de:5 fluid:6 criticized:1 dv:1 dt:2 dr:1 maclow:1 fields:5 twice:1 release:1 implication:1 l49:1 mazzali:1 swept:2 emergent:1 observed:13 depends:2 radius:3 cranmer:7 discussions:1 best:4 techniques:1 brazil:1 rings:1 symmetric:3 simplest:2 conceptual:1 approach:4 terms:1 nature:2 component:3 however:21 clues:1 adapting:1 received:1 essentially:1 asymmetry:2 against:1 exceeds:1 argue:1 had:1 excess:1 wider:1 springs:1 basis:2 nonisotropic:1 radiative:12 been:9 much:6 basic:3 expected:4 concerning:1 chile:1 diverted:2 exception:1 aim:1 near:14 vernal:1 property:1 launched:3 equator:16 ii:3 conf:6 suggest:1 koter:2 complex:1 potentially:1 avoids:1 several:2 evolve:3 trajectories:12 hand:1 normalization:1 whereby:1 episodic:4 ragged:2 prescribes:1 simulated:1 echoes:1 paradigm:3 left:4 proposed:4 gravity:13 eriguchi:3 spherically:3 campbell:1 previous:2 adding:1 candidate:1 character:1 spread:1 plasma:1 brandner:2 wcd:9 possible:2 possibly:2 araa:1 ascending:1 cooler:1 specific:9 remind:1 follows:2 right:3 envision:1 flatter:1 successfully:1 escape:7 shapes:4 dense:3 maeder:7 opposite:5 comments:1 pinched:4 core:1 bold:2 constructive:1 post:7 super:1 periastron:1 meyer:1 o:3 presence:3 bound:1 down:1 rendering:1 rely:1 compression:1 podsiadlowski:3 initial:22 approximate:1 cassinelli:8 conservation:2 way:6 brotherton:1 was:16 form:8 offer:2 forming:2 soker:3 hemisphere:4 sustained:1 cnpq:1 true:4 absent:1 hartmann:1 homunculus:31 panels:2 implications:1 abstract:1 owocki:31 evidence:3 gemini:2 exist:1 simulations:6 physical:3 dotted:3 no:5 whereas:2 generally:2 imparting:1 role:2 test:1 node:1 models:6 preceding:2 felt:1 uniformly:1 leonard:5 variable:1 conicyt:1 explosions:6 younger:2 faster:7 mamajek:1 assume:5 together:1 time:7 parcels:1 alternatives:1 focus:5 arnett:4 morphology:3 layers:2 clarification:1 environment:2 2004b:7 2004a:4 suffered:1 could:5 choice:1 anonymous:1 cunningham:3 presented:2 did:2 leave:1 equation:5 revolution:1 slower:2 trend:1 appear:1 contracted:1 reminiscent:1 explosion:14 understanding:1 hillier:2 along:1 appears:1 change:1 institute:2 vectors:3 commonly:1 trial:1 accomplished:1 simultaneous:3 usually:1 studies:1 plotted:2 useful:2 dorland:2 swallowed:1 ishibashi:3 eφ:2 scenarios:1 opposed:1 scope:1 australian:1 gilmozzi:1 today:1 smeared:1 introducing:1 apparent:3 envelope:2 everywhere:1 eθ:2 hyperbolae:1 cases:3 behalf:1 rotational:3 car:14 originally:1 modified:2 longitude:1 values:4 following:3 modifies:1 gravitationally:1 figure:12 predict:1 expanding:3 confused:1 council:3 allowed:1 conversely:1 occur:3 verlag:1 pino:2 discussion:3 parameter:2 crashes:1 may:22 respective:1 applications:1 produce:15 data:1 natural:2 waist:6 whenever:1 sk:2 so:7 sn:3 outflowing:1 typical:1 indeed:2 displayed:1 years:1 furnishes:1 course:1 impostors:1 nitrogen:1 argued:1 still:2 tendency:2 group:1 thank:1 acknowledge:1 interesting:3 decreases:1 ours:1 main:2 non:5 scaling:2 now:1 hall:1 inversion:1 lies:2 corners:2 drop:1 realistic:1 bursts:1 en:2 significantly:1 ed:2 ex:3 ez:7 er:3 canada:1 shown:5 accomplish:1 space:2 furthermore:2 johansson:1 increase:3 investigation:1 suggesting:1 appenzeller:2 viable:1 shows:2 earlier:1 theory:3 mechanisms:2 quite:1 california:1 e0:8 oblateness:1 advance:1 transition:3 motion:4 massive:7 first:6 origin:5 simplifies:1 variables:2 comprised:1 specifically:1 directly:1 ring:4 angular:8 little:1 necessarily:2 1a:1 1c:2 1b:1 draft:2 1d:1 convention:1 structures:1 zeipel:2 gives:1 fraction:1 asymmetric:2 than:15 intrinsically:4 wide:1 nathan:1 effective:4 l45:2 require:2 duschl:3 were:2 stanek:2 pre:2 troublesome:1 san:2 argument:1 say:1 distorted:2 any:8 computationally:1 ideas:1 note:1 potential:2 take:1 l115:1 modulus:1 sure:1 normal:7 track:1 pair:1 latex:1 especially:1 average:1 adopt:1 steady:4 drive:1 typeset:1 typically:2 show:4 gehring:1 magellanic:1 slow:5 ratio:2 gull:2 analytic:2 only:4 get:1 expectation:1 cannot:2 nearly:1 supergiants:1 rotationally:3 predicted:2 discussing:2 burst:1 physically:1 namely:2 fails:1 invoked:3 extragalactic:1 subsequent:2 boccaletti:2 enough:3 radiated:1 between:5 justified:1 vertical:1 blame:1 gratefully:1 comm:1 jets:1 gayley:10 come:1 ja:2 concentrated:2 dates:1 stages:1 outflows:2 many:3 region:1 according:1 contract:1 called:2 aura:1 comes:1 nearby:1 among:1 characterization:1 pole:2 associated:3 fruitful:1 considering:3 collides:1 lopez:1 fig:13 direction:1 formed:1 photon:1 weigelt:1 those:2 case:15 supernovae:1 profiles:1 meaburn:2 situation:3 falsified:1 coolest:1 orientation:2 discrepancy:1 matheson:1 canceled:1 sudden:2 vesc:2 ambient:3 binary:4 different:3 l53:1 develop:1 l59:1 shaviv:1 same:12 epoch:1 runge:1 events:1 drives:1 companion:4 driven:20 anticipated:1 reference:1 bryce:1 nn:1 largely:1 roughly:1 incorporated:1 without:6 coordinate:1 model:46 minima:2 being:2 when:4 desjacques:5 violent:2 relevant:1 speed:8 axisymmetric:2 seems:1 treatment:3 disrupt:1 momentum:13 aspects:2 around:17 early:1 inhibition:2 confined:1 using:3 particle:2 velocities:3 reduced:1 optically:1 udel:1 images:1 gross:1 critical:12 provides:1 porter:2 process:1 retains:1 notable:2 emulateapj:1 tuning:1 central:7 origins:1 discussed:4 wolf:2 carinae:15 numerically:1 references:3 determine:1 conceptually:3 kunkel:1 fast:6 log:2 assumed:5 there:5 low:3 stars:23 complete:1 regard:1 strikes:1 mnras:2 raga:3 applying:1 quantitatively:1 2003b:6 ωc:2 2003a:5 detailed:4 ad:3 migrate:2 aj:9 deep:1 general:2 ap:1 examine:1 governed:1 again:1 beyond:2 field:3 valid:1 poleward:2 opacity:1 polar:24 ballistically:1 includes:1 important:5 flattened:1 included:1 rigaut:1 precedent:1 mass:32 resolution:2 abundances:1 consider:2 caused:1 lack:1 cooperative:1 follow:1 expressions:1 disk:36 dominated:2 very:3 l5:1 difference:1 condition:1 applicable:3 large:3 small:5 rate:4 pasp:3 enhancement:3 pass:2 further:1 situated:1 what:4 richard:1 section:2 thickness:1 version:2 mellema:2 method:1 escaping:2 1987a:3 modify:4 cylindrical:1 compressed:5 berkeley:2 directions:2 strong:2 allows:1 prior:3 amount:3 published:1 narrow:1 via:3 followed:3 requiring:1 texts:1 eddington:6 humphreys:5 finally:2 glatzel:2 taken:1 minor:1 more:12 ejected:6 emission:1 keplerian:2 particular:2 known:1 producing:2 analogous:1 none:2 science:2 supergiant:2 sweeps:1 remain:1 evolved:2 history:1 compare:1 synchronized:1 collision:2 minimum:2 numbers:1 arise:3 axis:5 huge:2 needs:1 rather:8 oblate:7 ryu:1 simplicity:1 intended:1 orbits:1 plane:12 short:4 spectra:1 bipolarity:1 fundamental:1 kaufer:1 developed:2 oblique:1 ejecta:16 meakin:1 paper:1 through:7 kinetic:5 suffer:1 its:9 style:1 rapidly:4 inward:2 l77:1 actually:1 late:2 argentina:1 might:5 wouldn:1 motivated:1 encouraging:3 walls:2 yr:4 association:1 easily:3 finite:1 always:1 capability:1 conic:1 radial:4 investigators:1 sketches:1 energy:13 idea:4 expect:4 inflated:1 event:5 since:6 research:5 walborn:4 flattening:2 induced:1 occurs:1 asp:7 lawrence:1 difficulty:1 reason:1 imagine:1 beginning:1 conducted:1 consequence:2 major:1 perturb:1 thereafter:1 explored:1 inhibits:1 differ:1 jet:2 introduction:1 leading:3 calculations:1 rates:2 too:1 decretion:1 nomoto:1 sn1987a:7 part:2 blondin:2 unrealistic:1 polarized:1 critically:1 collaborations:1 double:1 determined:1 toward:18 treated:1 motivation:1 headings:1 ardila:1 generalizes:2 generic:1 zero:1 blanco:2 self:2 generalized:2 analogs:1 play:1 experienced:1 reach:2 most:7 measured:4 equatorial:31 km:4 velocity:27 lbvs:6 physics:1 particularly:1 phenomenon:1 giant:1 parameters:5 merger:5 distributed:1 eruptions:2 factor:2 invoke:2 dependent:1 gouveia:2 imparted:1 famous:3 observatory:1 closely:1 during:7 accomodates:1 continuum:6 arxiv:1 garcia:1 common:2 vink:2 set:4 ser:6 achieved:1 plausible:1 gehrz:7 see:8 individual:3 conicet:1 close:5 outward:7 various:2 envelopes:2 probably:2 conditions:4 available:1 initially:4 spray:1 interface:1 relying:2 both:3 collaborators:1 last:1 influential:3 hinz:1 elaborating:1 point:5 simple:7 corresponds:1 coincidence:1 dimensional:1 simply:2 morphologies:3 described:6 create:2 due:4 aspherical:3 reduction:1 azimuthal:1 anisotropic:2 ph:2 firm:1 lived:1 look:1 solid:3 straight:1 while:8 replaced:1 kick:17 error:1 loop:1 aa:1 century:2 von:2 apjs:1 itself:5 triple:3 grant:2 elevated:1 eventual:1 higher:4 used:1 levels:2 moving:1 purpose:1 recent:3 lower:4 older:3 analysis:1 magnetohydrodynamic:1 2gm:1 shape:29 alternative:3 loading:2 extra:4 heidelberg:1 build:1 australia:1 shading:1 rotate:1 success:1 semi:3 shaped:2 envisioned:1 admittedly:1 disks:8 ignore:1 flux:8 borrows:1 sketch:2 often:2 some:10 back:1 understood:1 strongest:1 ejections:2 anisotropies:1 pronounced:1 per:2 newark:1 behave:2 tends:1 inclination:2 eruption:16 palmer:1 weis:1 agreement:2 tidal:1 intense:1 piles:1 ebbets:3 simulation:8 range:4 consequently:1 into:5 within:3 nsf:1 appropriate:6 proportional:1 question:3 long:1 conceivable:1 sections:2 wamsteker:1 fitzpatrick:1 collapsed:1 properly:1 line:14 directed:2 consist:1 characteristic:2 burrows:2 up:4 us:2 uk:1 planes:1 similar:5 laplace:1 constant:1 defined:3 likewise:1 influence:3 single:5 recalculated:1 nas5:1 application:2 points:1 department:1 explaining:3 elements:18 meaning:1 lenz:1 structure:10 suffers:1 implies:1 age:3 required:10 agb:2 nasa:3 far:2 clumpy:1 requires:3 once:1 planetary:6 splashing:1 results:2 existing:2 illustrated:1 edu:2 winds:15 gm:11 young:3 include:1 indicating:1 01a:1 presently:1 continued:1 severely:1 shock:1 noted:4 smaller:2 dynamics:3 universities:1 morse:6 giving:1 consistently:1 19th:2 poles:14 collins:2 body:2 justification:3 degree:1 respectively:1 mccray:2 l21:1 desired:1 explore:1 focused:1 others:1 invented:1 extreme:2 great:5 larger:6 suggests:1 preferentially:1 resulting:2 scales:3 kinematically:1 private:1 apj:31 apply:3 cloud:1 use:1 asymptotic:3 remains:2 few:3 chu:1 themselves:2 stage:1 occurred:1 eccentricity:1 iii:1 account:5 bally:2 reproduce:3 obvious:1 thin:3 calculation:1 thermally:2 high:4 assumptions:3 nears:1 darkening:4 skirt:14 tan:3 six:1 instead:5 sin:3 filippenko:4 introduced:2 light:1 lines:1 correspond:1 element:10 allow:2 subsequently:1 furnish:1 evolutionary:3 produces:1 move:2 produced:3 including:3 mentioned:1 galaxy:2 outer:1 circumstellar:3 latitude:5 defining:2 greater:2 dal:2 material:23 mention:1 rotation:19 february:2 university:3 identified:1 sufficiently:1 morris:3 magnitude:1 accounts:1 traces:1 reproducing:1 related:1 frequency:1 measure:2 our:36 out:3 matt:3 ejecting:2 rev:1 wholly:1 integrated:1 red:1 interactions:1 frank:14 analytical:1 approaches:2 afterward:1 interaction:1 geometry:3 latitudes:8 times:2 lundqvist:2 bjorkman:9 hence:1 powerful:1 reaches:2 nebulae:14 adopted:4 roche:3 their:11 nebular:1 accretion:1 townsend:5 adopts:1 shell:3 explanation:3 rsg:9 dynamical:1 ara:1 ss:1 providing:1 partnership:1 unlikely:1 need:2 demonstration:1 clearly:2 acceleration:1 angle:1 able:3 mid:2 mechanism:7 polarization:1 instance:1 subject:2 deposit:1 unless:1 who:1 intrinsic:1 why:2 astro:2 segura:1 eject:1 stronger:1 mechanical:1 normally:2 fact:3 supported:2 rotating:22 purely:2 decade:1 based:3 hydrodynamically:1 should:8 terminal:3 equivalents:1 emitting:1 local:6 achieve:1 spun:1 balick:16 slows:1 means:4 lobe:2 overall:4 words:1 shaping:4 symbols:1 evolution:6 luminosity:4 tuned:3 hydrodynamic:9 tween:1 latitudinal:2 view:1 enhances:2 shedding:1 motions:1 variations:2 national:2 enhanced:5 operated:2 luminous:3 closer:3 phases:1 interacting:5 arguably:1 nebula:25 tend:2 state:5 difficulties:2 correctly:1 luo:2 comparable:1 explosive:3 reproduced:2 supernova:8 reproduces:2 hypothesis:1 key:1 freely:1 taking:1 etc:1 attributes:1 strongly:4 unclear:2 co:1 ca:1 narrower:1 nonspherical:1 deflected:1 trajectory:3 outflow:2 slowly:1 treat:2 anomaly:1 arises:3 corresponding:3 kovacs:1 sufficient:2 cos:4 prescription:2 present:3 astrof:1 novel:1 ejection:15 appearance:1 will:4 rotator:1 almost:1 vk:17 thus:6 surface:29 orbital:8 capture:1 perhaps:1 radiation:6 unity:1 parts:1 units:2 gets:1 difficult:1 effect:3 v0:4 off:1 center:2 well:7 thought:1 position:3 usual:2 spherical:7 less:4 sources:1 nonrotating:1 distant:1 surpass:1 rapid:3 preprint:1 vφ:2 density:11 smith:44 add:1 combine:1 match:1 identical:1 livio:3 increased:1 fate:2 kellogg:1 know:1 loss:14 sugerman:2 like:8 lost:1 qualitative:1 stahl:2 dwarkadas:8 martin:2 become:2 therein:2 shed:1 because:12 classical:2 sequence:1 phenomena:1 sher:1 proper:1 yamaoka:1 happens:1 lead:2 delaware:2 instantaneous:3 does:6 assuming:1 demonstrated:2 blowing:1 expansion:3 stellar:21 pressure:2 although:3 panel:10 about:5 rare:1 column:1 eqns:1 introduces:1 dependence:6 langer:6 insufficient:2 constraints:1 own:2 h2:1 preexisting:1 square:1 tiny:1 additional:4 leitherer:1 inner:3 naturally:2 function:6 hr:1 progenitor:4 but:12 volume:1 hf:1 illustrative:1 partially:1 whether:2 gravitational:6 smooth:1 below:2 limit:7 problem:4 radiatively:3 denote:1 lobes:18 referee:1 crotts:1 inc:1 compared:3 detail:1 barth:1 other:9 compares:1 ellipses:1 branch:1 gonzalez:5 francisco:2 star:42 radially:1 variation:2 stan:1 astronomy:3 factors:1 portion:1 heathcote:1 expands:1
|
0705.3053.txt |@word similarity:1 luminosities:1 four:3 localized:2 poorly:1 fronts:4 patches:1 ergs:7 under:1 collaborate:1 rise:1 dell:3 summarized:1 vast:2 vieira:2 enhance:1 hora:1 consistent:2 estimates:2 direct:5 surrounding:3 second:24 multiwavelength:4 estimated:6 blue:4 established:1 errors:2 hide:1 supplied:1 bipolar:1 above:4 new:4 net:1 contributes:4 harbors:1 shocks:2 simultaneously:1 here:11 o9:1 ionization:7 active:1 diagnostic:2 mex:1 obtained:8 figer:2 property:1 study:2 ignoring:2 suitable:1 bolatto:1 diameter:1 projection:1 explained:1 highly:1 remnant:1 counts:1 total:75 plot:1 would:20 snrs:1 kinematics:3 therefore:12 type:5 fractions:2 hoffmann:2 populations:1 composite:1 zinnecker:1 mamajek:1 blaauw:1 warm:21 excellent:5 hole:2 aligned:2 overrun:1 must:4 abundance:2 md:1 mm:1 mn:1 suggestive:1 erg:2 temperatures:6 exceptions:1 example:3 mezger:1 wang:2 indicated:1 give:1 involve:1 indicates:2 orion:9 caution:2 magnitudes:1 advancing:4 absolute:1 provide:2 travel:1 feature:4 very:11 hot:5 adjacent:4 strom:1 description:1 undergoing:1 after:2 kennicutt:5 millimeter:1 wrong:1 outbursts:1 types:1 calvet:2 effective:3 recombination:3 schneider:1 summing:1 green:4 rathborne:7 correlation:9 dereddened:1 order:5 triggering:1 interpretation:3 feedback:2 over:23 murray:1 satisfies:1 before:7 fit:3 directional:4 better:1 fig:19 clumped:1 hidden:2 eventually:1 them:1 combination:1 collide:1 l155:1 band:18 effects:2 they:12 structural:1 represents:2 dessart:2 brightness:5 explode:4 dwek:1 arrow:1 each:15 side:2 telescope:7 independent:1 series:1 laboratory:2 driving:1 content:1 re:1 newly:1 ultraluminous:2 little:3 free:6 standard:2 formation:42 estimate:6 silicate:2 filter:6 iso:1 ism:1 moving:1 already:5 features:8 yonekura:6 another:4 thick:4 similarly:4 top:2 needed:1 ballistic:1 listed:2 inflate:1 john:1 collapse:1 took:1 iyengar:1 serabyn:1 somewhat:2 distance:3 scenario:1 showed:1 superbubble:2 likely:11 matter:1 tion:2 evaporated:1 bridge:2 quench:1 spectrum:3 ras:14 seen:21 tells:1 relatively:2 thoroughly:1 thorough:1 predominantly:1 fitting:1 causing:2 absorbed:6 2006b:2 even:7 though:2 object:2 boltzmann:1 phase:9 assessed:1 proplyds:1 prevails:1 flow:1 inferred:5 dor:2 left:4 incomplete:1 incorporate:1 visitor:1 infrared:5 attempts:1 radio:38 participate:1 d2:1 just:7 explain:3 rich:1 rectangle:2 do:4 tiles:2 tracers:3 yielded:1 tiled:1 despite:1 unfortunately:1 thaddeus:1 wfpc2:1 erroneous:3 swept:2 sensitivity:2 zones:2 depends:3 radius:1 result:2 discussions:1 hydrocarbon:1 µm:57 carina:85 drawn:2 herrero:1 nature:1 component:15 however:21 drew:1 extent:1 carbon:1 received:1 essentially:2 kluwer:1 irregular:1 hillenbrand:2 cox:8 uncertainty:4 heating:5 participating:1 contribution:2 argue:1 presumably:1 timescale:1 character:1 excess:1 healy:1 polynomial:1 whiteoak:7 radiative:3 three:5 been:16 much:18 interest:2 expected:4 dozens:2 nally:1 input:8 reddening:1 plasma:2 remaining:2 aim:1 near:12 balance:1 launched:1 ir:45 iv:1 ii:37 conf:2 garay:1 parsecs:2 containing:1 najarro:1 suggest:4 make:3 complex:3 potentially:1 advances:1 avoids:1 several:7 fairly:1 satellite:3 i0:11 numerical:1 hand:1 isochrones:1 hartigan:2 hans:1 opportunity:1 episodic:1 lpsc:1 araa:2 maxima:1 mclean:1 birth:4 quoted:1 bandwidth:2 campbell:2 yet:6 impending:1 previous:6 adding:2 banda:1 highvelocity:1 had:1 spread:1 5a:4 expelled:1 5b:7 egan:3 bands:1 possible:2 possibly:1 natal:1 background:4 3σt:1 unique:3 occurring:1 cooler:3 specific:1 confront:1 muench:3 signal:1 csiro:2 www:1 right:1 truncated:1 escape:3 multiple:3 dense:12 bottom:1 electromagnetic:1 haslam:1 periphery:8 core:3 nonuniform:1 stefan:1 prinja:1 hst:1 filaments:1 super:1 properties:15 meyer:1 census:15 kylafis:1 anomalous:1 o:31 plus:3 propagate:1 contours:7 emissivity:2 printed:1 considerations:1 soc:1 contains:4 formerly:1 presence:1 cascades:1 unambiguous:1 greybody:1 support:1 initial:2 approximate:1 class:1 fraction:9 was:15 synthesis:1 lowest:1 head:1 medium:2 gaseous:1 form:4 some:13 differences:2 tachibana:2 magnitude:2 underestimates:2 solar:6 true:4 shipman:1 inside:1 trends:2 dordrecht:1 homunculus:1 gould:3 stromlo:1 panels:1 emit:2 hotter:1 abstract:1 covers:1 evidence:4 exist:1 accounting:2 distributions:1 archive:2 physical:1 nh:1 dotted:1 no:9 nb:4 when:10 narrowband:2 interested:2 role:1 digital:1 desch:4 optically:9 picture:1 interferometric:1 alleviated:1 younger:3 longer:5 assume:1 together:4 uncovered:1 time:10 global:16 morphology:6 arcsec:2 certainly:1 bremsstrahlung:1 technique:1 environment:4 2004b:8 2004a:4 marks:1 stassun:1 zhang:2 frequencies:1 orientations:1 cool:6 clouds:24 presented:2 did:4 gus:1 mgps:1 spectral:3 appear:6 evaporative:1 uniform:6 current:4 sequential:2 suspect:1 deharveng:2 explosion:1 evolved:1 understanding:1 meteorites:1 hillier:3 alone:3 along:6 appears:7 change:1 wait:1 box:4 dusty:1 studied:3 studies:5 plotted:1 useful:3 problematic:1 l157:1 prove:1 criteria:1 prep:3 outweighs:1 apparent:3 validity:1 clue:2 visual:4 clumpy:2 cases:1 clumps:3 trapezium:3 cas:3 car:24 labeled:2 values:10 following:1 walsh:2 nearest:2 figure:32 expanding:1 agent:1 performed:1 allowed:1 hydrogen:1 occur:3 normalize:1 rays:1 surroundings:1 discussion:1 get:2 submillimeter:1 rubin:2 undertook:1 map:23 sne:2 may:48 southern:8 produce:2 mag:2 date:1 data:18 revmexaa:1 sw:3 ghz:3 tale:1 cascade:2 cannot:2 so:10 sn:3 typical:4 wavelengths:16 indeed:4 years:3 course:1 experiments:1 clumping:1 cold:2 still:9 observational:1 derive:5 thank:1 sν:3 how:4 interesting:4 facility:1 coordinates:2 clearest:1 offers:1 main:9 decades:1 non:7 matches:1 hinting:1 evolution:1 scaling:2 half:4 now:4 discuss:1 drop:1 arrows:2 synchronize:1 bursts:1 individually:1 square:1 retrieve:1 significantly:3 ed:2 galactic:13 approximated:1 shown:10 space:3 coincidentally:1 furthermore:1 parallax:1 suggesting:1 dominate:4 correct:2 shows:6 earlier:6 million:2 brooks:24 quite:2 grabelsky:2 arendt:2 california:1 ori:2 turn:1 place:1 massive:27 2005a:2 2005b:4 first:18 origin:1 surviving:1 striking:1 onc:3 specifically:1 directly:3 ring:2 size:4 given:9 necessarily:1 1a:2 indicate:6 1c:6 1b:5 fortuitous:1 1d:4 structures:5 williams:1 gives:5 correlations:1 way:2 mostly:3 asymmetric:1 absorbs:3 representing:1 than:32 population:4 wide:3 l41:1 nathan:1 third:1 siding:1 future:7 were:20 poglitsch:1 pro:1 occupies:1 locations:2 conspiracy:1 allen:4 any:7 silhouette:1 efficient:2 aside:1 shocked:1 note:3 ideal:1 potential:3 massa:1 take:3 online:1 interior:7 destroy:1 begin:1 mdust:1 trace:2 normal:1 price:5 bouret:2 latex:1 radioactive:6 especially:1 considered:1 average:12 later:2 drive:1 wind:2 licht:1 slope:1 show:5 bright:6 unfolds:1 injection:1 ratio:18 treasure:3 gull:1 enough:4 only:10 equipped:1 centrally:1 digitize:1 truly:1 unimportant:1 ionized:13 nearly:3 intermixed:1 yield:1 summary:1 lbol:1 ignored:1 ends:1 blurred:1 relative:2 namely:2 ignores:1 surfaces:3 extragalactic:4 ways:1 harvey:2 sites:1 energetics:1 boundaries:1 behind:2 between:17 2002a:2 2002b:3 across:15 bisects:1 arrival:2 jy:12 lopez:1 concentrated:2 parentheses:1 acquiring:1 resides:4 outflows:1 many:6 region:48 imf:2 contract:1 called:1 comes:2 nearby:3 among:3 reprocessed:2 color:12 pop:1 sampling:2 associated:4 lyman:11 west:2 alves:1 locally:1 carey:2 mark:3 combined:1 borders:1 geis:1 direction:2 tr16:19 chan:3 formed:6 grayscale:1 1mm:1 external:1 irrelevant:1 spirit:1 those:3 fossil:2 case:10 kimura:1 supernovae:6 developing:1 mount:1 meaburn:2 cast:1 ongoing:6 investigating:1 coolest:1 pahs:1 middle:1 ambient:1 different:9 l55:1 same:8 check:2 underestimate:3 pah:14 grain:7 reminder:1 events:1 extended:1 companion:1 edges:4 changing:1 largely:1 minimize:1 roughly:4 severe:4 components:9 model:1 l105:1 whereas:4 being:4 generally:1 unclear:1 aspect:1 summed:1 speed:3 speculate:1 hinz:1 photons:13 seems:1 except:1 prominently:1 poised:1 lada:3 around:8 spectacular:1 read:1 dark:4 grid:1 mon:1 moc:1 using:8 accepted:1 facing:1 output:5 photodissociation:1 reduced:2 grouping:1 exposed:1 veracity:1 images:32 imager:1 trujillo:1 matching:1 provided:1 cavity:7 stages:1 critical:2 inject:1 provides:7 molonglo:1 moderate:1 o3:1 measuring:2 biased:1 bessell:1 equivalent:1 broken:1 ratios:2 comparison:2 central:2 cavities:3 origins:1 freefree:1 ob:15 concentrations:1 carinae:9 follows:1 image:33 references:1 determine:1 heated:5 burton:3 accumulated:1 happening:1 hesser:4 midir:1 area:2 assumed:4 there:21 stark:1 low:8 stars:76 hartman:1 bubble:2 complete:4 regard:2 independently:1 mnras:22 faster:1 volume:1 embedded:4 interiors:1 2003b:6 2003a:4 puls:1 darker:1 detailed:7 aj:7 moved:1 general:6 examine:3 ar:1 au:2 file:2 lifetime:3 incorrect:1 again:1 assessing:1 aromatic:1 field:9 nasa:2 spatial:17 briefly:1 photon:5 symbol:1 includes:3 deriving:1 important:7 peak:2 included:2 individual:4 curve:2 mass:72 cores:9 resolution:11 original:3 irradiance:1 represent:3 consider:1 pointing:1 caused:2 lack:4 splitting:1 dish:2 disk:2 diffuse:9 tail:1 program:1 siblings:2 te:1 norm:1 sound:5 far:15 bombarded:2 interpreting:3 bubbles:2 difference:2 securely:1 t4:2 applicable:1 cascading:1 large:36 small:4 neighborhood:1 pasa:3 stochastically:1 past:3 intricate:1 pasp:1 sievers:1 further:3 what:3 suc:1 sun:6 section:1 brief:2 version:5 method:3 escaping:2 iraf:1 berkeley:2 iras:19 strong:10 allows:1 amount:1 published:1 brightest:6 followed:1 suddenly:1 extinction:32 earliest:3 faint:1 comparing:2 taken:4 more:26 corrected:4 emission:71 unobscured:1 keyhole:4 varying:1 known:15 cluster:12 science:3 equation:2 could:3 caveat:1 huchtmeier:4 history:1 compare:2 synchronized:3 01a:1 conspire:2 minimum:2 numbers:1 arise:2 exclude:1 goal:1 rather:1 jewitt:2 maps:5 crowther:2 explains:1 ubiquitous:2 fu:1 spitzer:4 wiley:1 derived:8 plane:6 fe:2 waves:1 fi:3 derives:1 short:6 spectra:3 negligible:1 remnants:1 help:1 reservoir:6 soon:3 ejecta:7 thermal:6 paper:31 through:6 filters:5 signs:4 kinetic:9 its:15 style:1 inward:2 fruitful:1 late:1 detected:1 parts:8 lhα:3 might:1 alter:2 good:2 severely:1 obeyed:1 walls:1 yr:5 association:8 hereafter:1 always:1 level:3 doradus:2 eruptive:1 found:5 harboring:1 generation:33 colder:1 energy:33 idea:1 investigated:2 expect:1 dominates:8 since:11 projected:1 research:2 walborn:10 dominated:10 occurs:1 foreground:1 asp:1 interscience:1 reason:1 proxy:1 members:2 rises:1 beginning:1 blister:3 unresolved:4 probability:1 number:11 instances:1 least:3 blank:1 fluxes:10 heads:1 temperature:12 jet:1 introduction:1 insignificant:1 construct:1 assumption:1 rates:3 molecular:37 smoothed:2 observations:10 trapped:4 optical:25 ashley:2 explodes:1 churchwell:3 youth:1 toward:11 ages:3 randomly:1 substantial:3 cometary:2 orders:1 lie:1 irregularly:1 majority:3 lir:1 analogs:1 added:2 w49:1 depths:1 most:29 significant:7 undertaken:1 kreysa:1 measured:12 clear:4 km:4 part:5 velocity:1 physics:2 phenomenon:1 relation:1 carefully:1 find:11 reminiscent:1 giant:13 northern:5 less:16 distributed:2 calibrated:4 transmitting:1 factor:3 bernstein:1 proximity:1 giants:1 dominant:1 lyα:5 invoke:4 compiled:1 famous:1 observatory:2 during:2 resolve:1 continuum:43 arxiv:1 garcia:1 investigate:2 common:2 set:1 ulirg:1 ser:2 excavation:1 plausible:1 gehrz:3 see:19 sed:12 injecting:1 usyd:1 close:7 contour:5 analog:3 lee:1 resonantly:1 currently:5 halves:1 various:3 envelopes:1 probably:6 numerous:1 available:8 recently:2 creating:1 missing:1 initially:2 attention:1 spectroscopic:1 shortlived:2 distinguish:1 both:3 prospects:1 last:3 pdr:3 sensitive:1 whole:7 reside:2 regulates:1 point:8 simple:2 smith:63 sweep:4 simply:2 throughout:5 mission:1 belt:4 helfand:2 due:4 pc:2 ph:2 po:1 sanders:2 lived:4 gas:54 precision:1 lives:1 representative:1 fuv:9 uncertain:1 grains:18 solid:2 reliable:1 mosaiced:2 budget:15 institute:1 while:14 superposed:1 error:1 itself:5 twofold:1 grant:1 shorter:4 hester:2 resulting:2 ray:1 howarth:1 higher:8 nanten:2 used:8 comprehensive:1 flows:2 levels:2 uses:2 infamous:1 recent:5 early:7 lower:7 seward:4 analysis:6 obviously:1 person:1 edge:3 organization:1 distances:3 shape:1 atomic:10 spatially:3 danks:2 conclusions:3 chest:3 pillars:21 source:5 2006a:3 violations:1 pdrs:9 australia:3 evaluate:4 showing:1 polycyclic:1 suffering:1 apj:32 lost:1 shaped:3 admittedly:1 pillar:8 disks:8 resolu:1 translates:1 flux:39 often:2 spring:1 smith1:1 hartmann:2 strongest:1 examples:1 sight:7 scale:19 culprit:1 broadband:1 affects:1 measurements:1 minimal:1 evaporating:1 processing:1 agreement:4 forming:9 ster:1 obscured:4 anything:1 tracing:1 msx:23 range:3 consequently:1 into:9 within:11 warmed:2 appropriate:1 primarily:3 nsw:1 uncertainties:1 placing:1 long:2 moseley:1 sections:1 filamentary:1 wnl:1 repeatedly:2 line:14 considerable:1 groupings:1 bontemps:1 uv:12 up:5 us:6 similar:9 calculated:1 constant:3 defined:1 influence:3 duration:2 single:3 parsec:1 amounts:1 dashed:4 tumlinson:1 nas:1 department:1 draw:2 excitation:1 allowing:2 l199:1 structure:6 ago:1 lane:3 suffers:4 implies:1 required:3 holes:1 depth:15 implied:2 leak:1 lanz:1 partial:1 results:3 existing:1 ionize:1 edu:2 winds:15 kate:2 young:13 protostars:2 cradle:2 helps:1 excluded:1 atlas:1 include:2 indicating:3 ionizing:14 confirmation:1 nuclides:6 continues:1 electron:2 entire:9 o4:1 uncovering:1 shock:4 radii:1 interpolating:1 noted:7 smaller:5 repolust:2 protrude:1 universities:1 morse:4 64m:1 expressed:2 experiment:1 pristine:1 3d:1 chose:1 degree:1 respectively:4 youngest:4 objects:3 extreme:5 barb:1 involved:1 larger:10 suggests:3 preferentially:3 survey:6 examining:2 clark:1 scales:5 fullerton:2 extinctions:1 kuiper:1 scaled:2 cloud:13 use:4 usa:1 remains:1 next:1 few:9 examination:1 gales:1 jonathan:1 bronfman:4 kim:1 missile:1 normalized:1 iii:15 account:3 crosses:1 sightline:1 bally:8 averaged:1 arches:2 obvious:3 thin:4 scatter:1 protoplanetary:5 tau:1 escapes:6 process:1 discussed:2 epping:1 high:11 assumptions:1 holds:1 regions:47 located:2 instead:4 circular:1 blocks:1 mixed:4 fits:2 atnf:1 light:1 lines:1 correspond:3 allow:1 counted:1 mccaughrean:5 evolutionary:2 saturated:1 astronomical:2 insight:2 produced:1 including:5 mentioned:1 galaxy:4 contaminated:1 perfect:5 delay:2 outer:6 masses:5 circumstellar:5 degrees:3 clusters:17 pixel:3 acknowledgments:1 material:2 subtraction:6 front:4 day:4 february:1 university:1 traced:4 identified:1 morris:4 kpc:4 trap:1 crossing:3 traces:2 tracer:2 constraints:1 homogeneous:1 illuminate:1 constitute:1 measure:6 our:17 out:3 rev:2 cess:1 cause:1 integrated:17 red:4 galaxies:3 surely:1 york:1 kober:1 interaction:1 geometry:3 latitudes:2 shells:5 times:1 removing:1 hence:1 south:19 powerful:1 spontaneously:1 l33:1 revealed:1 system:4 adopted:1 their:10 nebular:10 intermediate:1 precipitously:1 shell:8 vigorous:1 explanation:1 lists:1 observed:16 malhotra:1 ipac:2 defense:1 submm:1 providing:5 distinguished:1 false:1 cohen:4 gentle:1 unlikely:1 need:8 constrained:1 clearly:3 instrumentation:1 angle:1 able:2 mid:5 decomposing:1 best:2 midcourse:1 who:1 bolometric:3 demise:1 preliminary:2 intrinsic:3 why:1 astro:3 subtracted:6 stronger:1 face:1 landsman:1 snapshot:1 mechanical:5 fact:3 goals:1 impression:1 parkes:3 text:2 agreed:1 supported:1 anyway:3 agrees:1 based:4 ngc:1 should:5 brighter:1 candidates:2 ambiguity:1 emitting:6 local:8 equilibrium:1 means:3 overall:1 beam:2 words:1 penetrate:2 argues:1 collisional:1 shaping:1 areas:1 processes:3 luminosity:49 deconvolved:1 processed:1 contain:3 qh:11 view:4 hydrocarbons:1 mirabel:2 national:1 hα:41 intensity:2 enhanced:1 operated:1 luminous:2 phases:6 luu:1 pattern:1 nebula:103 nebulosity:3 favor:1 state:1 difficulties:1 confusion:2 crude:2 boundary:2 lf:1 comparable:6 dozen:1 importance:1 supernova:14 emitted:1 interpolate:1 efficiency:3 key:1 distribution:17 observable:2 taking:1 acknowledge:1 equal:1 april:2 eta:1 figures:1 grounds:2 aa:1 relevant:3 co:11 asayama:1 cm:11 conclude:1 ca:1 environments:1 cs:1 table:13 kinematic:1 outflow:1 indicators:4 define:1 contribute:4 corresponding:5 astrop:1 bulk:3 angles:1 astron:1 present:8 unlike:3 value:12 rectangular:2 will:26 onaka:3 planets:1 thus:15 surface:6 examined:1 situ:2 l145:1 chlebowski:2 perhaps:4 radiation:20 orionis:1 unity:1 strange:1 largest:2 units:3 tapped:1 infer:2 residing:1 columbia:1 raymond:1 absorb:1 upon:1 effect:3 v2:1 4cm:4 dust:72 mosaic:1 off:2 center:10 obstacles:1 well:15 patterns:1 exceedingly:1 position:2 usual:1 starforming:1 heavily:1 accurate:1 storey:5 sources:6 distant:2 density:6 absorption:3 sky:4 hall:1 c18:1 combine:1 buxton:2 match:2 resolved:1 putative:1 know:1 press:1 immediately:2 prominent:2 loss:3 necessary:1 like:23 excluding:1 sizes:1 alternatively:1 qualitative:1 become:2 soft:1 indications:1 because:23 sequence:1 huss:2 wider:1 warmer:2 gave:1 lead:1 broad:1 does:4 assuming:3 reaching:1 expansion:6 stellar:33 pressure:1 although:5 panel:2 about:26 actual:1 column:3 recognized:1 compatible:1 own:5 interstellar:6 dataset:1 assess:1 tiny:2 heckathorn:1 additional:12 artifacts:1 trigger:1 inner:5 function:5 north:2 triggered:15 but:25 subjective:1 gain:2 lindblad:1 highest:1 hf:1 he:6 made:4 places:2 whether:3 wish:2 variations:3 below:3 converted:1 graphite:1 problem:1 bearing:1 nielbock:1 cpd:1 myr:6 correction:1 wavelength:4 aerogel:1 happen:1 inc:1 functions:1 compared:7 percent:1 detail:1 other:7 details:2 ulirgs:1 star:48 shredded:1 ultimately:1 metallicity:2 astronomy:2 4b:3 factors:1 meteoritic:1 volumes:1 heathcote:1 walawender:1 4d:1 ghosh:2 4c:2 simpson:2 4a:2
|
0705.3054.txt |@word similarity:2 magnetic:2 luminosities:1 externally:1 four:1 heliocentric:2 increase:1 guerrero:1 lamers:2 patches:1 segments:1 under:2 reddening:3 cm3:1 spec:8 barium:4 rise:2 intriguing:3 govern:1 affect:1 solution:1 debris:1 hora:2 10h:2 sion:1 faintest:1 10b:2 10c:1 consistent:5 10a:3 direct:1 surrounding:4 second:2 estimated:1 blue:17 incompatible:1 selected:1 supplied:1 bipolar:17 above:9 new:13 coefficient:1 men:2 sunspot:1 here:11 ionization:7 reported:2 asymmetry:1 fukagawa:2 brooks:1 obtained:17 study:6 gladders:1 zickgraf:10 adopting:1 suitable:1 changes:1 diameter:3 overabundance:1 9a:2 gosset:1 9b:2 highly:1 visible:3 amherst:1 counts:1 total:5 swings:2 would:30 played:2 kinematics:4 therefore:6 type:14 until:1 hoffmann:1 aware:1 mamajek:1 aligned:1 blocking:1 must:5 abundance:13 word:1 work:1 mh:1 mk:1 worth:1 suggestive:1 mv:1 ms:2 akin:1 example:4 mz:1 conf:4 indicated:2 give:4 indicates:3 orion:1 magnitudes:5 keep:1 absolute:2 end:1 provide:7 copious:1 very:8 hot:11 adjacent:2 significance:1 answer:1 earlier:6 diagram:3 outbursts:2 spectrometer:2 law:1 parallel:2 effective:1 recombination:1 schneider:2 suggest:7 dereddened:3 operate:1 order:8 wind:12 exotic:1 interpretation:3 over:2 undetected:3 spheroidal:1 tololo:1 before:4 fit:1 exhibits:2 better:3 fig:19 eventually:1 them:3 band:2 effects:3 they:18 bread:1 padgett:4 brightness:5 40m:1 reasonable:1 each:9 bona:1 side:8 mean:1 telescope:21 fairly:2 series:1 sahai:2 meilland:2 substantially:1 ring:123 borne:1 ry:15 mccarthy:3 fellowship:1 grebel:1 photometrically:1 rc:9 smc:1 foundation:1 arizona:1 ntt:2 standard:2 formation:11 estimate:7 r4:3 r2:1 filter:6 onto:1 speeds:3 waists:5 already:1 channels:1 another:9 illustrate:1 rated:1 approximately:2 needed:3 rates:1 listed:6 john:1 exposures:5 took:2 binned:1 western:2 somewhat:2 peculiar:2 distance:18 episodic:1 roles:1 elegant:1 silla:1 likely:7 project:1 matter:1 flame:1 deserving:1 lbv:10 spectrum:31 seen:22 seem:5 relatively:2 strength:1 latter:2 oriented:5 fitting:1 calibrated:3 forces:1 davidson:2 even:5 rsg:6 puetter:1 though:1 object:11 phase:15 brien:1 episode:1 calculated:1 flow:1 inferred:1 orderly:1 points:3 principle:1 dor:1 pauldrach:2 decidedly:1 planetary:16 rayleigh:1 infrared:1 implying:1 radii:6 radio:4 thirds:2 northeast:4 just:5 situations:1 rich:6 do:4 tielens:1 preferred:1 watson:1 wedding:1 report:1 hjellming:2 unfortunately:2 covering:1 fields:2 thaddeus:1 mergers:1 reference:2 sensitivity:1 observed:13 w4:4 radius:16 result:2 sporadic:1 best:3 hourglass:3 rings:81 symmetric:1 discovery:8 nature:3 rolled:1 weak:3 however:19 southeast:2 harvard:1 wr:3 contamination:1 carbon:2 suggested:4 36m:1 uncertainty:2 against:1 l145:1 presumably:1 timescale:1 appeared:1 josh:1 berkeley:2 panel:7 three:1 been:26 much:19 interest:5 progenitor:11 expected:6 deeper:1 concerning:1 chile:1 brightening:2 diverted:1 hsia:2 lesser:1 near:18 5c:2 property:2 overtaking:1 mexico:1 equator:3 ip:1 ir:7 n2e:1 ii:61 ramifications:1 ia:3 march:5 disappear:1 confirmed:1 things:1 make:5 plates:2 several:11 european:1 meets:1 manchado:2 hand:1 butter:1 ellipsoidal:2 shortly:1 scenario:6 bolatto:1 proposed:1 aside:1 ctio:12 farther:2 campbell:1 yet:9 previous:3 monitored:2 candidate:4 pne:1 similarities:1 had:5 5m:5 wright:1 requiring:1 east:2 5a:2 brandner:6 5b:2 egan:1 posed:1 possibly:3 araa:1 background:9 lco:1 appearing:1 gift:1 specific:1 remind:1 schwarz:6 night:3 interestingly:3 cirrus:1 webb:1 www:2 old:1 born:1 escape:1 dense:4 opposite:1 comments:2 indication:1 cerro:1 pinched:3 pose:1 hst:3 post:6 properties:4 meyer:1 sepa:1 anomalous:1 o:12 plus:4 steadily:1 efforts:1 thinner:1 presence:3 obtaining:1 down:2 lies:1 raises:1 abel:4 surround:2 compression:2 podsiadlowski:4 segment:1 support:3 initial:4 chevalier:3 approximate:5 nova:1 cassinelli:3 width:3 l133:1 way:5 astrophysics:1 m1:1 was:46 medium:1 form:6 offer:1 forming:5 becoming:1 soker:3 aperture:6 magnitude:4 solar:7 true:4 portions:1 inside:1 tell:1 unusually:2 stages:2 emit:1 examples:3 khz:1 nasmyth:1 hotter:1 b2:1 blueshifted:1 implications:4 abstract:1 mirror:1 corradi:6 owocki:8 evidence:4 sometime:1 exist:1 simulations:1 magellan:9 physical:2 dotted:1 no:14 when:8 ne:11 narrowband:6 role:7 papers:1 nw:1 optically:1 permitting:1 why:1 taurus:1 mira:2 shibata:1 variable:2 jones:2 longer:1 together:3 time:5 precedent:1 remarkable:2 focus:3 arnett:6 morphology:9 remarkably:1 certainly:1 depend:1 technique:1 environment:2 finally:2 marks:1 analogous:1 circumstances:3 southwest:3 keck:4 string:1 stassun:1 zhang:2 locked:1 blast:1 exact:1 minute:2 cool:4 clouds:3 presented:2 did:2 turns:1 standards:1 speculation:1 supergiant:20 dis:3 upper:8 unexpected:1 trend:2 spectrograph:2 forging:4 rappaport:1 targets:1 spectral:9 adds:1 stands:1 assistance:2 shares:1 thicker:1 reminiscent:1 suspect:2 goes:1 filled:5 dwarf:7 understanding:1 tangent:2 groups:1 apache:1 along:18 appears:4 box:1 institute:3 shift:1 studied:3 bok:2 usually:1 dougados:1 inhibited:1 spatially:6 marked:2 illumination:2 undergone:1 sharper:1 brighter:6 positive:1 scan:1 tightly:1 permitted:1 opposed:1 shchikov:2 gilmozzi:1 marginally:1 share:1 apparent:6 envelope:3 visual:5 observations:7 sequoia:1 cases:4 given:4 clumps:1 deserved:1 4πd2:1 bouchet:1 car:2 originally:1 longitude:1 vega:1 values:2 following:3 making:3 detached:1 nearest:1 reflector:1 figure:44 dkpc:2 december:1 moffat:3 sample:5 performed:1 tidally:1 allowed:1 hydrogen:1 occur:1 monitoring:1 discussion:1 chemical:4 pure:1 product:1 may:39 southern:1 produce:2 mag:1 data:8 natural:1 waist:2 joint:1 sw:3 sk:3 darkened:1 cannot:1 so:6 se:1 typical:1 wavelengths:4 passband:1 indeed:1 displayed:1 argues:3 ended:1 lsr:1 nitrogen:9 cuts:1 still:7 derive:1 thank:2 interesting:5 facility:1 tori:2 coordinates:2 suspicion:1 main:8 non:3 views:1 hinting:2 strom:1 half:3 now:2 hall:1 temporal:1 matched:1 name:2 stahl:3 january:1 enrichment:3 instabilities:2 instability:1 entirely:2 photometry:1 prompted:1 ed:1 gaps:1 wavelength:3 gonzalez:1 shown:18 space:4 furthermore:1 lagrangian:1 vittone:1 looking:2 investigation:1 suggesting:1 appenzeller:2 correct:1 shows:17 after:6 mechanisms:1 possibility:2 quite:5 grabelsky:2 california:1 schieven:1 motion:2 turn:1 place:1 massive:16 2005a:2 2005b:3 first:4 origin:2 scuti:12 merrill:2 symmetry:1 striking:1 variables:1 stsci:1 fast:3 impossible:1 array:1 open:1 angular:3 size:6 rayet:1 caught:2 stapelfeldt:7 iac:1 iab:8 indicate:3 fortuitous:1 1k:1 fraction:3 asymmetric:2 accurately:2 resulted:1 l139:1 copy:1 photographic:1 than:27 population:1 wide:6 l41:1 nathan:1 third:2 l45:2 require:2 were:21 pre:6 troublesome:1 sao:1 san:1 locations:3 distorted:1 allen:2 any:7 silhouette:2 efficient:1 answering:1 isolate:1 consortium:1 note:6 potential:2 interior:7 l115:1 channel:1 commonplace:1 multiple:1 normal:3 price:2 nolan:1 printed:1 pair:2 cleared:1 mullan:1 conspicuous:1 latex:1 especially:1 surprising:2 fills:2 average:4 later:2 disperser:1 illuminating:1 dispersed:1 typically:2 drastically:1 show:3 discovered:11 bright:15 slow:3 ratio:6 outside:3 blankenship:1 only:17 equipped:1 centrally:1 ionizes:1 morphological:1 ionized:15 nearly:3 supergiants:34 geometric:2 prime:1 reveal:1 meakin:1 yield:2 summary:1 fainter:6 rms:1 burrows:7 relative:7 college:1 invoked:1 subsequent:1 definite:1 justifies:1 boundaries:2 behind:2 αb:1 between:5 2002a:2 justified:1 2002b:7 across:6 schuster:6 ud:2 jets:2 gayley:1 come:1 pixels:2 panels:1 outflows:1 many:4 region:14 contract:1 called:2 interloper:1 nearby:3 among:2 sampling:1 twin:5 grants:1 lagrange:1 bizarre:1 unusual:6 lyman:1 west:6 carey:1 mark:1 melnick:2 reflex:1 wants:1 6a:1 direction:3 zorec:1 thousand:3 formed:2 grayscale:1 observe:1 external:4 obscuring:1 diffuse:5 those:2 sound:1 profiles:1 orientation:1 heng:1 cluster:1 ambient:1 technology:2 binary:38 l53:2 same:21 shifts:1 html:2 extended:5 defy:1 companion:4 driven:2 constraining:1 edges:4 l127:1 roughly:17 without:3 sonneborn:2 ccd:7 model:7 binaries:6 serendipitous:1 being:4 rest:2 ekers:2 relevant:1 speed:7 renewed:1 hint:3 boulder:1 axisymmetric:1 photons:7 seems:7 except:4 instrument:1 grating:3 struck:1 momentum:3 around:45 spectacular:1 read:1 early:4 using:13 oddly:1 facing:1 either:8 clay:3 inter:1 reduced:1 m17:1 butner:1 astronomer:2 respect:1 images:29 imager:2 matching:1 faster:1 slice:1 dimensions:1 symbiotic:5 conservative:1 critical:3 provides:2 moderate:1 toroidal:1 power:1 seconds:1 problems:1 notable:1 notably:1 ratios:1 comparison:2 central:41 carina:43 discussed:9 ob:3 decelerated:1 wolf:3 act:1 bond:15 carinae:4 instruments:1 image:25 rising:1 determine:3 kunkel:2 overcontact:2 log:1 area:3 assumed:2 there:17 stark:1 dispersion:2 detectable:1 low:12 stars:55 hen:1 illuminated:3 enough:4 regard:3 independently:1 mnras:6 trying:1 outskirts:1 october:1 he2:3 strongly:6 gone:3 taylor:1 ag:1 aj:10 deep:2 general:1 ar:1 au:7 av:2 incorrect:1 again:2 tight:1 nasa:3 spatial:2 polar:4 regardless:2 carnegie:1 pointings:1 important:7 flattened:2 peak:1 coverage:1 included:1 l65:1 l61:1 l63:1 curve:2 crotts:8 dramatic:1 mass:37 resembles:3 accreted:1 resolution:11 represent:1 abundances:4 since:11 sci:1 consider:1 pointing:1 caused:2 forbidden:1 lack:6 systemic:2 rosales:1 cooperative:1 suspected:6 sct:3 disk:16 reasoning:1 prevot:2 zuckerman:1 white:7 te:7 2mass:1 case:6 unsatisfying:1 far:8 l5:1 fall:1 sauron:1 large:6 small:3 munari:1 titled:1 pasj:1 go:2 zero:1 asp:4 pasp:1 enhancement:2 pass:1 further:4 what:3 darkness:1 section:1 ast:1 brief:2 thickness:3 mellema:2 contrast:2 jenness:1 full:1 component:2 compressed:1 excess:7 strong:9 observing:1 search:1 bouvier:1 allows:1 experience:2 periodic:1 milky:3 homologous:1 narrow:4 imaging:10 goss:1 flash:2 marginal:2 extinction:8 eddington:1 eye:3 distinct:3 faint:10 humphreys:1 pearl:1 mori:1 taken:5 minor:9 more:33 flat:2 ejected:12 corrected:6 emission:49 particular:2 known:7 mounted:3 presumed:2 none:2 middle:3 science:2 equation:1 nine:1 wesemael:1 evolved:2 01a:1 toroid:2 neglected:1 arise:1 sharp:3 lacks:3 species:1 axis:18 rather:9 crowther:2 ryu:1 galactic:7 intended:1 spitzer:1 koerner:1 advice:1 derived:2 catalog:3 plane:9 fe:1 short:2 resemble:1 spectra:17 extrapolation:1 kaufer:2 help:1 september:2 doula:2 ejecta:5 held:1 thermal:2 paper:3 through:22 jakobsen:2 filters:3 existence:1 avenue:2 its:45 rapidly:3 susceptible:1 l77:1 actually:3 late:1 detected:9 parts:3 systems:1 might:4 good:2 propose:3 yr:3 association:2 easily:2 fully:5 level:3 kanaan:1 2a:4 2b:3 radial:12 stanghellini:1 found:7 characterized:1 weight:1 hard:1 idea:1 expect:2 miroshnichenko:4 beyond:1 event:6 really:1 dominates:1 unnatural:1 surrounded:3 projected:8 research:3 walborn:5 dominated:2 hilo:1 foreground:1 pun:3 doppler:1 lawrence:2 margoni:1 extraordinary:1 brightest:5 members:1 rlof:3 american:1 consequence:4 major:7 l95:1 number:5 linking:1 dayal:1 temperature:10 introduction:1 least:4 sargent:1 assumption:1 expand:1 passed:2 hundred:4 too:5 latitudes:1 sn1987a:45 l51:1 part:2 favorable:2 authors:1 blondin:4 center:8 peaked:1 observatory:8 kindly:1 double:4 determined:2 intensities:10 aas:1 toward:4 binarity:2 7c:1 7b:1 outstanding:1 suspicious:1 headings:1 confirms:1 nights:2 flared:1 blanco:2 speculative:1 rsgs:1 swallowing:1 internal:2 analogs:1 echelle:2 play:2 hires:2 eruption:1 most:13 significant:4 colliding:1 extremely:2 appear:1 equatorial:39 deviations:1 torus:7 cover:1 km:19 optical:2 clean:1 velocity:13 lbvs:7 particularly:1 admittedly:1 converge:1 relation:1 find:8 giant:6 parameters:2 merger:6 spectrographs:1 surveyed:3 eruptions:1 factor:2 lennon:2 circle:1 proximity:2 merged:1 giants:1 famous:3 ferrer:1 closely:1 collins:4 during:7 resolve:1 continuum:6 arxiv:1 garcia:1 common:4 activity:1 doublet:2 set:5 ser:4 overwhelm:1 plausible:5 gehrz:7 see:18 arc:4 sec:1 close:24 arm:5 analog:2 lee:1 visiting:2 currently:2 various:1 envelopes:1 probably:16 conditions:2 available:1 recently:2 missing:2 initially:2 spectroscopic:4 incident:1 invisible:3 both:9 connection:2 became:3 context:5 hinz:1 whole:1 liked:1 supply:4 reasons:2 smith:47 corresponds:1 community:1 hollow:2 dimensional:1 krist:2 simply:1 observatories:1 throughout:1 described:3 enhancements:2 gravity:2 due:2 pc:18 reduction:1 azimuthal:1 ph:1 lived:1 partly:1 fire:1 gas:9 westerlund:1 gap:1 specifically:1 cassegrain:1 uncertain:1 look:2 grains:1 solid:1 reliable:1 empirical:1 dusty:1 while:19 superposed:1 eclipses:2 identical:5 century:1 binding:1 itself:5 triple:4 increased:1 grant:2 resulting:4 ray:3 higher:7 used:9 levels:1 purpose:1 recent:2 dark:3 lower:8 older:2 depending:1 analysis:2 gsc:1 edge:9 kelly:1 doyle:2 hypothesized:1 buchanan:1 shape:7 questions:1 useful:1 alternative:1 forrest:1 extracted:7 source:7 causing:1 remaining:3 motivating:1 rotators:2 showing:2 sorting:1 shaped:2 follows:1 signal:4 disks:13 flux:10 continue:1 yields:1 often:2 ignored:1 some:11 strongest:1 b1:11 sight:4 b3:2 curious:2 kirshner:1 scale:7 broadband:1 integration:1 centroid:2 inclination:11 run:2 stee:1 bo:1 weis:1 agreement:3 step:1 obscured:2 subtract:1 intense:1 anything:1 tracing:8 intensively:1 page:1 deserves:2 range:3 seeing:4 colorado:2 into:4 within:10 nsf:1 appropriate:1 ellipse:2 uncertainties:2 measured:2 question:2 long:10 occupy:2 heritage:2 sections:1 considerably:1 wamsteker:1 elsewhere:1 governs:1 fitzpatrick:1 link:6 line:25 considerable:2 directed:1 characteristic:1 uv:4 up:9 us:4 today:1 spectroscopy:6 fluctuations:1 similar:12 clear:5 associated:4 defined:4 influence:1 single:3 cure:2 bieging:1 nag:1 dashed:3 nas:1 department:1 excitation:1 provided:2 ryans:1 faintly:1 prepared:1 meaning:1 sides:1 structure:7 ago:1 lane:1 implies:6 age:4 required:5 agb:3 implied:1 demonstrates:1 walker:1 requires:7 having:2 partial:1 results:2 existing:3 steve:1 edu:4 winds:4 webbink:2 serendipitously:2 compact:1 compose:1 young:1 protostars:1 unobscured:1 indicating:1 ingredient:1 ionizing:10 wave:1 electron:11 continued:1 entire:1 magic:3 positions:2 shock:2 michael:4 colors:2 noted:6 smaller:1 milano:3 progenitors:1 microquasar:1 imply:2 exter:1 universities:2 index:1 plays:1 morse:3 giving:1 3k:1 19th:1 twins:2 3b:2 3a:2 chose:1 degree:1 bergeron:2 respectively:3 mccray:4 objects:12 others:1 l29:1 extreme:1 great:2 northern:3 larger:12 suggests:5 preferentially:1 survey:4 existent:1 makes:2 composed:1 photometric:4 apj:45 limb:16 cloud:1 breakup:1 next:2 few:14 camera:5 chu:1 noisy:1 bronfman:1 inclined:2 normalized:1 actual:2 iii:6 hints:1 account:1 beauchamp:1 sightline:2 bally:2 obvious:4 thin:11 meet:1 drops:1 usno:1 tau:2 flaring:1 high:12 slit:22 sought:1 darkening:1 precessing:1 six:1 regions:11 located:6 lamp:2 numerous:2 elliptical:1 instead:4 circular:1 collection:1 pollacco:2 efficiently:1 bind:2 lines:22 correspond:3 necklace:1 subsequently:1 despite:1 meter:4 smartt:4 including:3 looks:2 hii:1 galaxy:5 perfect:1 outer:16 la:1 lo:1 ll:1 circumstellar:16 degrees:1 ls:3 latitude:1 clusters:2 pixel:9 serra:1 greater:1 surrounds:2 material:6 disrupted:3 asymmetrical:1 rotation:6 day:2 straddling:1 february:1 university:6 traced:1 sufficiently:1 morris:4 kpc:11 mode:2 crossing:1 references:3 prevailing:1 related:2 resolvable:1 sectional:1 our:20 hutsem:2 special:1 out:6 respects:1 matt:2 rev:1 cause:2 red:19 interactions:4 frank:10 diagonal:1 completely:1 hubble:3 interaction:1 geometry:4 could:5 times:5 lundqvist:4 bjorkman:4 receding:1 l31:1 quality:2 nebulae:32 revmexaa:1 system:19 roche:1 their:23 nebular:14 intermediate:11 perfectly:1 final:1 townsend:8 shell:11 gear:1 explanation:3 exactly:2 lists:3 ociw:1 moriarty:1 dynamical:1 detection:4 holland:1 limiting:2 light:4 providing:2 distinguished:1 cranmer:3 exhibit:1 cohen:1 kastner:3 unlikely:1 need:4 apparently:1 clearly:4 ringed:2 angle:7 min:2 studying:1 able:2 mid:1 mechanism:1 prototypical:1 photosphere:2 detector:3 subject:2 mit:1 rebinned:1 patchy:1 unless:3 who:1 intrinsic:2 class:8 volume:1 subtracted:4 eject:2 stronger:1 dent:1 outflowing:3 fact:9 impression:1 selection:2 chances:1 anyway:1 rotating:5 kitt:1 rough:1 agrees:1 based:1 knowledge:1 ngc:3 should:7 tracings:4 arcseconds:1 ambiguity:1 emitting:3 he:5 thousands:1 spun:1 balick:7 sagittarius:1 means:5 lobe:1 familiar:1 michigan:1 overall:1 beam:2 ones:1 joins:1 consecutive:1 years:2 shaping:3 evolution:15 luminosity:13 secret:1 contain:1 qh:1 view:3 shedding:2 motions:2 variations:1 national:2 hα:36 intensity:12 enhanced:2 operated:2 luminous:10 closer:2 phases:1 interacting:4 clearing:1 nebula:82 krautter:1 macros:1 state:2 difficulties:1 tens:1 boundary:1 luo:2 variability:4 comparable:6 reproduced:1 yahil:1 supernova:6 key:2 precious:2 problem:1 jon:1 staring:2 kudritzki:1 limits:3 vexp:1 etc:1 figures:3 passing:3 masses:1 detailed:5 unclear:1 co:2 cm:17 conclude:1 wall:1 ca:1 clues:1 environments:1 ucb:1 maximize:1 reipurth:1 table:18 li:1 kinematic:5 copies:1 zhekov:1 field:6 myr:1 corresponding:5 kovacs:1 sufficient:3 astron:1 present:3 encircles:1 multi:1 atmospheric:2 unlike:1 ejection:3 appearance:2 value:10 will:5 plait:4 rotator:1 layer:1 almost:4 molecular:2 thus:15 site:1 surface:1 dual:1 orbital:1 perhaps:6 radiation:2 cross:4 brightened:14 strange:1 northwest:3 largest:2 fide:1 difficult:1 http:3 eccentric:1 v5:1 dust:13 mosaic:2 scarcely:2 reflection:2 well:14 overshadowed:1 perseus:1 thought:6 ohoku:1 redshifted:2 position:7 spherical:2 less:9 accurate:1 obtain:3 sources:1 spectrophotometric:1 rapid:6 preprint:1 density:12 absorption:4 point:3 sky:7 discuss:4 add:3 ignace:2 resolved:5 livio:2 orbit:2 putative:2 fcrao:1 increases:1 five:2 whatever:1 unseen:2 press:1 immediately:3 doughnut:1 prominent:2 fransson:2 loss:6 sugerman:2 necessary:1 like:27 excluding:1 sizes:1 menard:2 emmi:9 dwarkadas:2 martin:6 preclude:1 therein:1 shed:1 because:22 sequence:7 phenomena:1 sher:28 proper:2 little:1 lead:1 broad:2 avoid:2 does:3 assuming:2 eso:1 loral:1 noise:5 expansion:9 stellar:6 host:1 although:11 offset:4 spectroscopically:1 swept:5 raise:1 about:14 rare:2 column:1 introduces:1 recognized:1 massachusetts:2 own:3 significantly:1 van:1 additional:3 transfer:2 leitherer:1 spiral:1 spots:1 inner:10 hotspots:1 north:1 hr:4 basic:1 hv:1 triangular:2 but:31 astro:2 hk:1 neutral:2 hi:1 overflow:1 highest:1 hf:1 hd:2 partially:3 made:2 places:2 whether:1 greaves:2 smooth:4 below:7 astrophysical:1 limit:10 distribution:3 measure:8 denote:1 balmer:3 lobes:3 apexes:1 borkowski:2 inc:2 compared:3 calibration:1 percent:2 detail:3 virtual:1 other:15 details:1 rial:1 francisco:1 star:83 chance:2 additionally:1 astronomy:7 exposure:3 expands:2 portion:1 4m:11 searched:1 heathcote:5 4a:2 4b:2 eclipsing:11
|
0705.3055.txt |@word limited:1 hampton:2 gs:5 consider:1 remarkable:2 rev:22 lack:1 focus:2 leads:3 generalize:1 frederico:1 consists:1 remarkably:1 contributions:1 matagne:7 calculate:1 removal:1 tain:1 finally:1 present:1 include:2 case:7 belonging:3 amplitudes:1 string:2 sitting:1 very:2 g8:1 forkel:1 witten:1 mixing:2 affect:1 bringing:1 plets:8 level:1 turns:3 erlich:1 large:14 small:3 fl:4 chew:1 smaller:1 trend:1 consistent:5 direct:1 approximation:5 second:2 displays:1 dynamics:1 scientific:1 even:1 plays:1 sub:1 giving:1 expressed:2 current:1 axial:1 scoccola:7 issues:1 above:1 obvious:1 coefficient:6 ibid:2 exchange:2 respectively:4 applies:1 component:2 here:4 identifications:1 mev:15 stancu:5 represented:1 consideration:1 along:1 strong:1 table:2 tilman:1 obtained:7 almost:1 institute:1 study:4 larger:3 resulting:1 resonance:2 changes:1 involves:1 plotted:1 useful:1 addresses:1 lending:1 explained:1 highly:1 analyzing:1 total:1 establish:1 flavors:1 plot:5 use:1 takes:1 usa:4 d75:1 distinct:3 few:2 nucl:2 going:2 therefore:4 decuplet:1 qcd:6 achieving:1 more:5 n13:1 accuracy:1 becomes:2 operators:13 factor:1 carrying:1 particular:2 known:1 cases:2 account:3 work:9 modified:1 theories:1 values:7 splittings:2 ms:11 following:4 ulg:1 weaker:1 figure:1 klempt:1 relativistic:1 neglected:2 pieces:1 states:14 indicates:1 mn:1 information:2 rather:2 breaking:10 criterion:1 instead:1 semay:1 de:2 lengthy:1 explored:1 fits:3 representations:1 choice:1 data:3 eighth:1 natural:1 effective:3 light:3 grant:1 correspond:3 su:21 sj:1 si:1 ones:1 so:3 order:9 ege:2 goity:12 nonstrange:1 katz:1 produces:1 indeed:2 presence:1 course:1 through:3 mentioned:1 still:2 excitations:2 group:4 exclusion:1 fit:12 interesting:1 masses:16 inclusion:2 li:2 fig:2 tors:1 main:3 finer:1 theo:2 non:5 good:1 than:5 disregarded:2 framework:2 motivates:1 effects:1 they:4 son:1 bigger:1 represents:1 term:3 gev2:3 name:2 university:2 presented:3 identified:1 magnitude:4 newport:1 each:1 disregard:1 found:1 entirely:2 status:2 domain:1 significantly:1 accelerator:1 hadronic:1 series:1 manifests:1 isospin:1 expect:2 quantum:1 our:5 transitions:1 out:4 shown:7 matrix:2 since:1 squared:1 denotes:1 increase:1 dominated:2 reader:1 formula:2 ref:2 announced:1 shows:3 plet:1 linear:9 interactions:5 confidence:1 given:3 mms:3 quark:9 beyer:1 difficulty:1 reason:1 manohar:2 org:1 spread:1 definition:2 interaction:7 agree:1 determining:2 could:1 transition:1 diquark:4 introduction:2 hadrons:1 neglect:2 first:2 already:1 features:2 symmetry:3 jhep:1 nc0:6 nc2:3 number:2 done:2 open:1 angular:2 size:2 wilczek:1 differ:2 checked:1 their:1 ordering:1 leading:4 approximately:1 needed:1 listed:1 ordered:1 sensitivity:1 gives:4 conˆ:1 baryon:11 tool:1 pirjol:2 emergent:1 somewhat:3 sˆ:4 coefficients:11 determines:1 unfortunately:1 matter:1 determined:2 powers:1 perturbative:1 motivation:1 dynamically:1 spectrum:4 manuscript:1 need:2 seen:1 clearly:3 strength:2 latter:2 chief:1 note:7 fitting:2 jefferson:1 hyperfine:23 formulas:4 play:1 singlet:9 most:1 significant:2 baryons:17 acknowledgements:1 observation:1 considered:3 clear:1 doe:1 principle:1 exp:2 χ2dof:3 physics:2 fact:3 quantity:1 slope:1 thomas:1 supported:2 colors:1 relation:2 carefully:1 find:1 ground:5 highest:1 based:2 enough:1 should:1 only:10 explicitly:1 generators:2 specify:1 ngs:1 identification:1 oct:1 do:1 intersect:1 regge:14 cannot:1 pandharipande:1 evolution:3 buisseret:1 arxiv:6 across:3 including:2 remains:1 body:1 n11:1 fair:1 phenomenologically:1 national:1 furthemore:2 observed:1 differs:2 namely:1 result:2 terms:11 best:1 definite:1 symmetric:6 state:5 various:2 between:8 justified:1 approach:3 email:1 available:2 notice:2 recently:2 nature:1 however:2 n1c:1 news:1 suppressed:1 thank:1 suggested:1 c21:3 kogut:1 schat:5 taking:2 uncertainty:1 according:1 mixings:2 display:2 etc:1 context:1 contribution:2 experimental:2 comment:1 relevant:1 point:1 corresponds:2 coincidence:1 cs:17 respect:1 considering:1 described:1 basis:1 trajectory:4 three:1 been:8 reduction:1 much:1 interest:1 expected:2 ph:4 cohen:1 sart:1 describe:1 corresponding:3 n9:1 sufficient:1 confinement:1 determination:2 angles:1 c1:34 careful:1 spin:17 those:3 c4:10 applied:1 solid:1 originate:1 empirical:2 value:7 will:2 while:3 behavior:1 error:1 situation:3 va:2 would:3 phenomenological:1 carlson:5 refs:5 thus:2 them:1 suganuma:1 reads:1 vs:2 contract:1 gervais:1 orbital:1 different:3 verified:1 sensitive:1 make:2 any:1 strange:5 carone:4 virtually:1 units:1 higher:1 development:1 used:4 trajectories:16 upon:1 effect:3 compared:1 purpose:3 hartree:2 nm:1 lower:1 thy:1 yan:1 well:4 roughly:1 analysis:7 teramond:1 components:2 consistency:3 model:2 usual:1 distances:1 proposed:1 less:1 being:4 rest:1 assigned:1 underlying:1 identify:1 thanks:1 spinorbit:1 differentiation:1 multiplet:18 flavor:9 captured:1 tables:2 ads:1 conclusions:1 seems:2 except:2 exclusively:1 improvement:1 add:1 other:4 lett:13 usage:1 input:1 excited:8 momentum:2 real:2 kojo:1 aspects:1 multiplets:17 results:3 possible:3 increases:1 belgium:2 world:3 sakita:1 stephanov:1 helpful:1 necessary:1 like:1 particle:2 follows:2 flux:2 become:1 works:1 therein:1 because:4 resonances:1 some:1 irrelevance:1 b5:1 brodsky:1 neglecting:1 est:1 electromagnetic:1 tube:2 quarks:3 octet:2 comments:1 mesons:2 does:3 tends:1 core:9 nms:2 iˆ2:1 equivalent:1 agreement:1 expansion:8 broken:1 although:1 analyses:2 dashen:2 about:1 chf:26 o:16 compatible:1 deserves:1 extensions:1 mixed:3 slightly:1 enhancement:2 strangeness:6 facility:1 into:4 splitting:6 nsf:1 due:3 references:2 primarily:1 operator:24 hep:4 additional:1 support:1 there:2 yao:1 long:1 start:1 quadratic:2 way:2 slopes:1 analyze:4 was:3 iˆ:1 function:1 complete:2 form:1 but:2 failure:1 line:3 removed:1 hf:1 made:1 consist:1 theoretical:3 frautschi:1 limit:5 piece:1 similar:5 called:1 ex:1 detailed:2 ac:1 associated:2 defined:3 abstract:1 contribute:1 denote:1 dashed:1 single:1 check:1 physical:1 lebed:3 beyond:1 puzzling:1 no:3 amounts:1 organizing:1 nc:61 reality:1 valid:1 role:2 details:1 department:1 jenkins:2 ns:1 sˆc:4 poor:2 picture:6 elements:2 separate:1 models:1 includes:1 important:1 studied:1 included:1 bases:2 jlab:2 implies:1 using:1 assume:1 sˆ2:4 orbit:3 equivalently:1 mass:16 affects:2 n1:2 n3:2 n5:2 n7:1
|
0705.3056.txt |@word similarity:1 lack:4 whose:1 preserves:1 tx:1 supported:1 quasi:3 ti:12 semenov:1 te:12 cm2:1 keck:1 global:1 garden:1 very:2 frequencies:3 rise:1 wave:2 electron:20 experimentally:1 exact:4 condition:1 cool:2 entire:1 kovalev:1 shock:1 t2:3 solution:10 itamp:2 integrated:1 large:3 adjust:1 small:4 optics:1 inertial:1 dis:1 smaller:1 consistent:1 direct:1 pulse:4 sign:1 surrounding:1 street:1 profiles:1 chen:1 qualitatively:1 dynamics:8 eλd:1 targets:2 perry:1 linear:1 even:1 robicheaux:2 brackets:1 sum:1 axes:1 while:1 access:1 experiment:3 above:3 new:2 thin:1 body:1 agreement:1 respectively:1 component:1 here:5 understanding:2 strontium:1 lu:1 mev:1 2kb:1 along:2 strong:1 equations:12 change:1 mackinnon:1 institute:1 shift:2 study:4 studied:1 allows:1 yˆ:2 nagel:1 resulting:1 poisson:1 complicated:1 studies:2 elongated:1 spatially:1 clark:1 gurevich:1 highly:1 apply:1 total:1 cloud:2 plot:1 use:1 indicated:1 usa:2 remains:1 physics:5 few:3 magnification:1 camera:1 taken:6 mora:2 until:1 reflects:1 more:2 relay:1 under:1 validity:1 particular:1 central:1 must:2 high:1 ma:1 integrating:1 mm:3 science:3 equation:3 work:2 mi:4 theories:1 mw:1 foils:2 temperatures:5 fulfill:1 vlasov:11 ions:9 fluor:1 figure:2 expanding:3 sample:1 collision:1 confirmation:1 unphysical:1 david:1 occur:1 sr:1 requirements:1 provide:5 s1:1 breaking:2 ultracold:4 varies:2 fα:2 resolution:2 parameter:1 profile:5 may:2 demonstrates:1 after:1 reflect:1 waves:1 fits:6 data:6 types:1 short:2 natural:1 threebody:1 negligibly:1 recombination:2 grant:2 summing:2 quasineutrality:1 negligible:1 correlation:1 order:2 houston:1 pulsed:1 produces:3 over:2 dy:1 produced:4 thermal:10 experiments:1 through:1 lasers:3 cuts:1 kinetic:5 linewidth:2 its:1 kress:1 rapidly:1 fit:6 temporal:2 symes:1 decreases:1 production:1 systems:5 photoionizing:1 clusters:2 decades:1 image:2 eventually:1 factor:1 motivated:1 greater:1 murakami:1 prevented:1 evolution:11 break:1 bergeson:4 effects:1 they:3 front:1 inelastic:1 realize:4 february:1 several:2 equality:1 fully:1 university:2 arrows:1 identified:1 2e:2 radial:2 found:2 2ee:5 daido:1 neil:1 telescope:1 collisionless:1 ee:1 series:2 energy:5 gao1:1 gaussian:15 used:2 expect:2 measurement:1 our:2 beyond:1 eq:8 might:1 shown:4 dominates:1 fundamentally:1 space:1 rep:2 since:1 rev:26 collisions:2 investigation:1 mα:1 induced:2 cause:1 plotting:1 red:1 shows:3 foundation:3 doppler:5 theory:4 ory:1 pumping:1 diagnostic:1 completely:1 advantages:1 imaging:7 nα:1 earliest:1 heat:1 e2:1 r2:1 created:2 transition:3 times:2 motion:3 length:3 3kb:5 hence:2 unphysically:1 onto:1 neglect:1 first:3 intuition:1 there:3 features:1 symmetry:1 rms:11 powerful:1 reaches:1 mourou:1 size:10 given:4 checked:1 temperature:10 start:1 eqs:1 system:3 their:2 cooling:2 realization:2 molecular:1 final:1 gives:1 shifted:1 excellent:2 explanation:1 exactly:1 serve:1 part:1 values:3 x2:1 than:3 observatory:1 quasineutral:2 fuchs:1 enabled:1 transferred:1 ranging:1 recording:1 determined:2 were:1 collins:1 fig:11 measure:1 spectrum:4 astrophysical:1 seen:1 seem:1 confirms:2 any:2 relatively:2 acceleration:3 lim:1 self:5 fertig:1 extracted:3 ideal:2 take:2 kaplan:1 so:2 tool:1 ray:1 electric:3 reach:2 microsecond:1 cummings:3 significant:3 ccd:1 analytically:1 extremely:1 class:1 kb:6 deviations:2 surprising:1 murillo:1 considered:1 average:5 later:1 cover:1 illuminates:1 tα:5 traditional:1 optical:2 electrons:5 exp:3 diagnostics:1 velocity:16 typically:3 width:3 precise:1 spaced:2 tron:1 show:5 random:2 solutions:2 threshold:2 d3:1 3k:2 slow:1 ratio:1 quoted:1 kaluza:1 state:1 should:3 terminal:2 analytic:8 only:2 screening:1 pursuing:1 rice:1 local:4 equilibrium:1 areal:4 do:1 fluid:1 truly:1 beam:1 dz:2 dx:1 despite:1 report:1 during:3 striped:1 collisional:6 ds:1 durfee:2 adiabatically:3 processes:4 densities:3 covering:1 fields:2 arxiv:1 yield:1 predicted:3 analytical:1 including:1 irradiation:1 set:1 statistical:2 national:1 λd:2 propagates:1 intensity:1 radius:2 cold:1 roberts:1 ways:1 frustrates:1 assumed:1 µs:10 symmetric:4 enough:1 classes:1 between:4 conditions:6 available:1 recently:1 nature:2 importance:1 however:2 harvard:2 extent:1 2σd:1 atoms:2 unp:2 ionization:2 dates:1 last:1 many:2 region:1 uncertainty:4 heating:4 against:1 τexp:5 fulfilled:1 propagation:1 dated:1 exceeds:2 adapted:1 experimental:5 among:1 point:1 simple:1 dimensional:2 analyzed:1 associated:1 broadening:1 ensures:1 light:2 described:2 symbols:1 simplification:1 damp:1 locally:2 radiative:3 due:4 been:3 quickly:1 detuning:2 describes:2 combined:1 basic:1 expected:2 orzel:1 ph:1 define:1 angled:1 direction:2 corresponding:1 both:2 formed:1 essentially:1 confinement:1 systematic:1 plasmas:23 equilibration:1 applied:1 p1:1 laser:12 affirm:1 solid:2 solvable:1 value:2 will:2 near:1 behavior:1 situation:1 converted:1 detailed:1 coupled:2 vi:8 killian:3 according:1 equilibrate:1 characterize:1 σd:1 different:4 sensitive:2 perhaps:1 suggest:1 lett:22 matches:1 complex:1 schematic:1 units:1 finite:2 higher:1 breakdown:1 evolve:2 extended:1 again:1 drives:1 hand:1 ion:30 phy:1 arose:1 resonance:5 changing:1 elec:1 center:1 expression:3 calibration:2 well:4 increases:3 equilibrates:1 solids:1 edge:1 jetp:1 position:1 model:4 arising:3 spherical:4 just:1 less:2 percent:1 plasm:1 starting:1 rest:1 vanishes:1 shape:2 atomic:1 aspect:1 spherically:4 scattering:1 rapid:1 density:12 selfsimilar:1 describable:1 samples:1 rost:1 plasma:35 identical:1 tests:1 smithsonian:2 fusion:1 voigt:2 vacuum:2 using:2 mod:1 necessary:2 pohl:1 follows:4 signal:3 adiabatic:2 accelerating:2 mhz:3 arbitrary:1 become:1 accelerations:1 disorder:2 reasonably:1 cooled:2 sack:1 velocities:1 often:1 affects:1 creation:1 phenomena:1 back:1 imaged:1 simien:1 debye:1 images:4 scale:5 describing:1 dimensions:1 lead:3 confirm:1 broad:1 avoid:2 measurements:2 future:1 overlap:1 instantaneous:1 does:1 provides:3 prog:1 yields:1 three:1 demonstrated:1 refer:1 equivalent:1 each:3 perpendicular:1 expansion:35 pressure:4 offset:1 properties:2 comparison:1 about:1 rare:1 would:3 γef:2 orozco:1 discussed:1 foil:1 o:1 range:1 important:4 create:1 equally:2 cambridge:1 previously:1 into:3 within:5 integral:1 predictions:2 down:1 neutrality:1 appropriate:2 because:3 sov:1 proportional:1 uncertainties:2 therm:5 additional:1 measured:2 initial:8 occupy:1 much:2 kuzmin:1 low:4 astrophysics:1 was:3 formation:1 function:2 form:3 metastable:1 differences:1 but:7 neutral:6 atom:1 line:1 rolston:3 faster:1 directed:4 packard:1 intuitive:1 characteristic:2 maximum:1 us:1 theoretical:3 frequency:3 spectroscopy:2 demonstrate:1 distribution:10 similar:4 agree:2 strongly:2 developing:1 constant:2 photoionization:2 defined:1 describe:3 linearity:1 general:4 globally:2 right:1 daily:2 wavelength:1 formalism:2 distributions:1 regime:2 ni:2 functions:4 compared:2 nm:3 no:2 when:4 ne:2 field:2 valid:2 spatial:2 department:1 ns:3 deviation:2 energetic:1 excitation:1 models:2 problems:2 variation:3 intensified:1 generated:1 tribution:1 peak:5 hanson:2 astronomy:1 conclusive:1 implies:3 coupling:1 fluorescence:8 thermalization:2 proposed:1 required:1 together:1 implied:1 time:10 observables:1 expands:2 4a:1
|
0705.3057.txt |@word code:1 schlegel:1 1978k:1 lack:2 supplement:2 weiler:2 causes:1 poorly:2 ergs:3 young:1 environment:1 finally:1 confirmation:2 mpc:2 very:3 rise:3 luminosities:1 vlt:3 condition:1 internally:1 level:1 prolonged:1 small:1 woosley:1 upper:1 smaller:1 slower:1 l99:1 progenitors:2 surrounding:2 likely:3 odd:1 situated:1 even:5 errors:1 above:1 new:1 ever:1 journal:8 shocks:1 explosion:7 respectively:1 1987a:2 here:1 objects:1 strong:8 appears:1 extreme:1 naval:1 suggests:1 extremes:1 climb:1 narrow:3 imaging:2 via:1 outer:2 extinction:2 plot:1 confidence:1 wealth:1 usa:1 distinct:1 tail:1 few:2 taken:3 australian:1 type:8 marginally:2 more:2 corrected:1 emission:7 batse:1 clumpy:1 acceptably:1 iin:5 iii:1 insights:1 md:1 mv:1 royal:1 believed:1 making:2 scatter:1 wang:2 figure:1 high:1 indicates:1 coincident:1 hydrogen:1 axis:2 csm:4 monitoring:1 provide:1 meager:1 positional:2 located:2 instead:1 sne:11 galactic:1 may:7 fy:1 lab:2 plane:1 date:6 data:9 third:1 light:1 lines:3 ghz:1 st:1 rather:2 sn:33 davey:1 typical:3 wavelengths:2 produces:1 over:1 spectral:1 ejecta:2 argues:1 smartt:1 fwhm:2 its:7 galaxy:5 rapidly:1 fit:3 temporal:1 exhibits:1 circumstellar:2 late:4 detected:4 fig:2 archival:3 them:1 material:3 band:2 speculate:1 association:1 matched:1 february:1 oxygen:2 brightness:1 university:4 chandra:3 found:1 erratic:1 constraints:6 enigmatic:1 significantly:2 energy:2 hard:2 society:1 grbs:6 astrophysical:7 our:2 1nn:1 out:2 driving:1 space:1 since:1 research:1 dominated:2 red:1 inevitably:1 ultraluminous:1 mechanisms:1 quite:1 difficulty:1 formation:1 brightest:2 estimate:1 generate:1 interaction:1 could:5 mvc:1 place:1 massive:3 exhibited:1 already:1 features:3 probability:3 blown:1 powerful:1 comprised:1 fluxes:2 quality:1 given:1 jet:1 bloom:1 least:3 plentiful:1 intermediate:1 observations:3 percentage:1 shifted:1 shell:1 collapse:1 asymmetric:2 park:2 expend:1 notices:1 optical:4 somewhat:1 than:1 intrinsically:1 whereby:1 observed:2 imply:3 future:1 were:2 bauer:2 circinus:6 sw:1 spectrum:4 curves:1 confirms:1 apparently:1 ray:18 lie:1 meegan:1 self:1 able:1 isolated:1 anglo:1 note:2 instance:1 fitting:1 potential:1 goddard:1 observationally:1 blue:2 relatively:5 object:1 falls:1 most:2 demise:1 significant:1 average:2 atypical:1 coincides:1 drive:1 km:2 kr:1 points:5 constrain:1 physics:1 fitted:1 slope:1 show:2 blended:1 queen:1 infrared:1 discovered:1 radio:17 keywords:1 find:2 decade:1 xmm:1 based:1 northern:1 enough:1 should:1 jan:2 failed:2 only:3 candidates:1 rich:1 postulated:1 astronomical:2 wide:1 overall:1 dc:1 nearly:1 evolution:1 densities:1 luminosity:2 arxiv:1 common:1 burst:1 hα:4 relative:1 underluminous:1 close:1 luminous:4 best:1 interacting:2 review:2 rings:1 state:1 determined:2 between:3 120th:1 available:1 bt7:1 recently:1 spectroscopy:1 nature:1 rolled:1 supernova:3 weak:4 however:1 york:1 kev:1 both:4 dates:1 prescription:1 limits:1 many:1 hint:1 against:1 nearby:1 among:2 cm:2 perot:1 simply:2 respect:1 fors1:1 decline:2 unusual:4 pw:1 engines:1 instrument:1 monthly:1 overlook:1 due:5 been:2 yam:1 pa:1 ireland:1 progenitor:7 expected:2 ph:1 galama:1 flight:1 wheeler:2 bulk:1 gal:1 astron:2 kuntz:1 standard:1 intriguing:1 pacs:1 will:1 cast:1 while:5 error:1 tunneling:1 annual:2 av:2 thus:2 ii:6 ave:1 confirmed:1 immler:2 prior:2 perhaps:4 suggest:1 complex:1 several:4 composition:1 higher:1 columbia:2 peaks:1 upon:1 viewing:1 moving:1 recent:1 lower:1 off:3 center:1 pennsylvania:1 well:5 1997cy:1 model:3 l102:1 left:1 proximity:1 newton:1 rest:1 aside:1 sources:1 shape:1 underlying:1 using:1 touch:1 yet:1 yr:3 belfast:2 candidate:1 density:3 absorption:3 sky:2 source:2 location:1 l87:1 march:1 bands:2 possible:1 early:7 indicative:1 background:1 immediately:2 fransson:1 necessary:1 signal:1 flux:1 yields:1 either:1 invaluable:1 soft:3 shed:1 right:1 plausible:1 traits:1 convex:1 images:1 intact:1 dense:4 cavity:2 broad:5 measurements:1 does:1 provides:1 core:2 rosat:1 bh:1 conventional:1 notably:1 bw:1 although:2 greenbelt:1 would:1 complexes:1 column:1 o:3 remains:1 range:2 gamma:2 fabry:1 seeing:1 carinae:1 own:1 letters:2 presence:1 into:3 within:3 washington:1 patat:1 references:1 theoretically:1 telescope:1 uncertainties:1 shells:1 there:2 chevalier:1 spiral:1 long:1 strict:1 low:2 stars:1 astrophysics:6 was:4 synchrotron:1 offer:2 but:1 astro:1 link:1 fors:1 line:1 partially:1 whether:2 us:1 below:1 limit:1 uk:1 demonstrate:1 similar:1 clear:1 distance:1 associated:1 stripped:2 abstract:1 fellow:1 laboratory:1 physical:2 nh:2 variety:1 whereas:1 when:2 ny:1 other:1 grb:12 department:2 forcing:2 nv:1 briefly:1 models:1 envelope:2 taurus:1 important:1 peak:1 variable:1 astronomy:4 structure:1 brandt:1 suffers:1 regime:1 ranks:1 odds:1 beamed:1 together:2 tightest:1 time:7 4b:5
|
0705.3058.txt |@word represent:2 code:1 consider:12 chain:14 equalities:1 lack:1 alternatives:1 results:17 four:1 entropy:1 overlap:1 blocklengths:2 stochastically:1 go:1 gn:3 expressions:4 row:2 increase:2 violate:1 technique:2 send:1 tn:24 finally:1 present:1 excluded:1 stable:59 stochastic:1 maryland:1 up2:2 sent:7 up1:6 alternating:1 p2:87 conjecture:2 ppendix:2 jensen:2 g1:3 orthogonal:1 very:2 conditions:1 corollary:3 mpr:4 should:1 fall:2 φnm:1 exact:1 appropriately:1 condition:3 achievability:2 subsets:1 pmf:1 presented:11 transmission:27 irreducible:1 t2:4 fewer:1 t1:12 large:4 discrete:9 vector:2 indices:1 markov:13 noted:1 possibility:1 upper:1 abbreviated:3 smaller:2 occurrence:1 insignificant:1 estimates:1 approximation:1 consists:4 rate:35 accessing:1 may:2 further:4 steadystate:1 implemented:1 linear:30 y1m:22 index:1 what:1 appear:1 cover:1 clock:5 section:7 cai:2 expressed:2 find:6 access:54 waiting:2 version:3 above:7 basic:1 international:1 upward:1 ephremides:8 viii:1 q1:114 processing:1 policies:2 j2m:1 never:1 sinr:1 here:2 explore:1 j2t:1 rlc:8 groups:1 represented:1 consideration:1 equations:2 appears:2 obtained:4 trans:13 wdd:1 unproven:1 ahead:1 receive:2 involved:1 study:2 studied:2 allows:3 completely:1 through:1 unproved:1 queue:19 suggests:1 amount:2 multicast:15 throughput:70 decouple:1 history:1 involves:1 departures:1 buffered:4 formulated:1 regardless:1 divide:1 figure:1 decoding:5 offset:1 f2:1 emptied:1 analyzing:2 luby:1 achievable:4 empties:1 apply:2 total:5 senders:2 linearly:8 readily:1 use:5 takes:1 would:2 codewords:3 remains:1 destination:36 negative:4 precluded:1 next:4 few:1 raptor:1 πi1:1 simpler:1 until:1 reflects:1 more:7 introducing:1 said:1 successful:6 outputs:6 under:7 distribution:10 iid:2 long:1 appendix:2 observing:1 particular:2 known:1 foundations:1 cases:2 hold:1 iii:1 nodes:22 must:4 evolves:1 account:1 sheds:1 collision:10 science:1 equation:1 work:8 roof:1 remain:1 values:6 indicating:1 following:12 arrive:2 example:3 proof:6 control:2 f1:1 compare:2 reserved:1 synchronized:1 stated:2 process:5 ak:5 states:4 contradicts:2 assumptions:1 performed:4 sense:3 exclude:1 counting:1 yet:1 occur:4 thomas:1 ratio:2 information:18 redundancy:1 end:1 hoc:1 szpankowski:1 provide:2 s2:1 divided:1 holds:5 regions:9 how:1 criterion:1 possibly:1 symposium:2 flow:1 parameter:4 dominance:1 greatly:1 inputs:3 product:3 capture:1 less:2 max:9 snm:2 mapping:1 collection:1 mac:2 explored:3 designed:1 cambridge:1 ties:1 computation:1 fk:9 data:7 grow:1 fn:2 varied:1 πi:3 grant:1 lines:1 departure:4 sk:1 inform:14 si:2 cannot:4 so:3 fundamental:1 correlation:1 every:1 operate:1 order:3 typical:1 unsolved:1 breaking:1 feedback:9 jnt:4 september:2 over:25 move:1 vary:1 soon:2 fifo:1 stability:23 held:1 paper:1 p1t:1 during:1 y1:7 itw:1 still:1 ieee:17 its:8 before:2 massey:2 write:1 derive:1 outer:4 thank:1 singular:1 chosen:1 matrices:2 solving:2 li:3 forms:1 lt:1 concavity:1 systems:8 constitutes:1 policy:9 encapsulates:1 overcome:1 s1:1 jn2:1 non:5 good:3 ym:31 combination:5 µ2e:2 bernoulli:2 material:1 elapse:1 introduce:2 framework:1 transmissions:4 effects:1 they:2 compound:3 arriving:1 retransmitted:1 now:6 nor:3 2u:15 february:28 always:4 university:1 tran:1 annals:1 establishing:1 capability:1 synchronize:2 inequality:4 transmitted:11 each:27 found:14 2n:7 difficult:1 side:1 2j:19 mean:1 mikhailov:2 schemes:3 another:2 series:1 gaussian:1 used:17 expect:1 aim:1 combining:1 our:16 operation:1 transitions:1 macs:1 event:1 special:2 out:1 shown:16 dominates:1 network:8 space:3 furthermore:2 since:18 interference:5 denotes:9 rd:1 similarly:3 fountain:3 conjectured:1 suggesting:1 rn:7 size:1 occurs:2 shows:3 probl:1 representations:1 numerical:2 log2:15 theory:17 written:1 hull:1 free:1 difficulty:5 approaches:4 cartesian:1 conditioning:1 brooke:1 estimate:2 w1d:2 generate:3 union:2 pairs:2 interaction:2 r1:12 r2:9 determining:2 could:2 transition:12 messages:13 times:3 turn:2 length:10 leading:1 qn:14 first:16 pmt:10 behaves:2 ntroduction:1 probability:38 encoding:4 aperiodic:1 variables:4 coding:35 number:16 rank:2 channels:2 simplified:2 notify:3 directly:1 frequently:1 message:5 ystem:1 reliable:6 destinations:17 given:33 necessarily:2 service:42 indicate:1 introduction:1 totally:2 achieved:1 system:42 their:3 station:5 draft:27 too:1 statement:1 rates:13 summarized:1 scheme:16 bits:6 cite:1 recovered:2 fraction:1 restated:1 ch:1 completed:3 exactly:2 park:1 yield:1 broadcast:2 assumption:3 task:1 j2:6 authors:2 x2:63 alphabets:1 july:5 x1:55 representing:1 than:11 coefficients:3 finitely:4 unfortunately:1 showed:1 fold:1 acknowledgement:1 likely:1 idle:5 delay:1 were:4 geometrically:7 outcome:2 treated:2 w2:3 fashion:1 eliminating:1 largely:1 sac:1 rao:2 generalization:2 correspond:1 randomly:5 already:1 manuscript:1 acknowledgment:1 manner:4 collects:1 need:1 dmc:1 fading:2 viewed:1 relatively:1 lie:2 traditionally:1 zero:5 min:8 describe:2 improves:1 answering:1 able:1 note:6 instance:5 k1:5 maintain:2 take:1 maxm:11 transmit:10 new:4 coincide:6 channel:74 belief:1 even:2 begin:2 towards:1 multiple:12 allow:2 buffer:7 who:1 reach:1 hui:2 most:3 involving:1 plus:1 xn:13 codeword:12 pair:4 slotted:5 acknowledgements:5 dummy:1 wiley:1 surprising:2 considered:2 average:5 phil:1 request:1 traditional:1 points:2 sum:4 fact:2 applied:1 precise:1 cdf:1 currently:1 particularly:1 show:4 absorbing:4 random:79 synchronous:1 elimination:1 relation:4 threshold:1 substituting:1 uniform:2 networks:2 slot:18 q2:16 based:2 retransmission:14 dividing:1 front:2 appended:1 distributed:15 backlogged:30 negligible:1 considering:1 mathys:2 failed:1 only:4 explicitly:3 iee:1 interested:1 columns:2 do:4 erasure:7 dominant:6 closed:3 notation:2 means:3 dependent:1 joint:2 isit:1 shared:3 timing:5 applying:1 awaiting:1 mutual:1 geometric:1 areas:1 closure:7 symbols:9 processes:1 µ2b:7 outperform:1 heorem:1 arxiv:1 remove:1 consisting:1 tth:3 common:2 inefficient:1 wish:1 including:2 fixed:4 automatic:1 communicated:1 view:2 arq:1 set:8 modulo:1 computed:5 exists:3 sep:1 j1:8 packet:46 bounds:5 observed:1 differs:1 depends:1 computer:3 college:1 result:17 w1:3 recently:2 theoretic:2 best:1 ergodicity:2 y2:7 capacity:62 interacting:2 ways:2 nature:1 fano:1 λn:4 boundaries:1 state:13 µn:8 various:1 correctly:2 between:9 progress:2 neither:2 approach:10 grabner:1 luo:2 available:4 τn:3 attention:1 terms:5 august:1 receivers:3 wm:2 queueing:7 steady:1 however:4 deterministic:1 york:1 yeung:2 iscussion:1 rows:2 abramson:2 topology:1 received:28 improved:2 σn:6 limits:2 p2t:1 many:4 region:69 according:11 conference:2 merging:1 geom:4 iv:2 codebook:1 context:1 receiver:4 exceeds:1 pdf:2 contribution:1 argue:1 expression:3 otherwise:2 arbitrarily:2 among:1 poltyrev:1 necessary:1 tong:1 point:2 reasons:1 asymptotically:1 corresponds:3 eferences:1 dimensional:1 header:1 maintained:1 simply:1 ahlswede:3 sequences:2 cs:1 table:3 slots:8 throughout:2 minm:2 erased:1 pp:19 light:2 described:4 addition:3 preamble:4 create:1 computing:2 three:1 been:17 ai:6 workshop:2 treat:1 interest:1 certain:2 pj:1 prodinger:1 pn:29 retransmissions:10 empty:11 fig:8 generating:1 arises:3 corresponding:8 allerton:1 both:19 sufficient:2 formed:2 commun:1 anthony:1 ensuring:1 last:1 general:2 developments:1 those:3 sender:6 case:8 p1:88 resulting:1 being:4 straight:1 value:6 will:16 while:5 inefficiency:2 reliably:1 error:10 gerhard:1 2k:12 inspired:1 procedure:1 larger:1 memoryless:3 vi:2 πi2:1 thus:7 them:1 equal:7 ii:4 characterize:4 jn1:2 limit:1 comments:1 binary:7 different:7 any:7 develop:1 handled:1 prior:1 alphabet:2 make:1 cumulative:1 problems:1 same:8 wherein:1 member:1 periodic:1 arguments:2 widely:1 units:1 figures:1 finite:6 mackay:1 grows:1 φn:6 higher:3 development:1 independent:18 arrives:1 receives:3 i1:4 i2:5 upon:2 effect:1 hand:1 effectively:1 running:1 user:5 student:1 infinite:3 robust:1 opportunity:1 gallager:2 recent:3 lower:2 fourier:1 nn:19 scenario:1 immaterial:1 blocklength:1 modeled:1 well:1 analysis:4 efficient:1 without:5 solve:1 easily:3 model:21 plotted:1 shrader:3 protocol:11 lemma:3 examining:1 transmitting:7 kramer:1 identically:4 removed:3 obtain:6 sources:20 stored:2 immediately:1 alternative:2 october:1 2jk:1 coordination:1 captured:1 previous:9 intersection:2 k2:6 characterization:1 seems:1 except:1 aloha:6 source:102 other:5 attractive:1 theorem:10 input:6 identical:2 vii:1 march:2 ynm:1 advances:1 showing:1 decomposed:1 term:3 period:1 indexed:2 performance:1 taking:1 unique:1 helpful:1 loss:2 synchronization:1 instead:2 like:2 lost:6 alternatively:2 signal:2 arrivals:2 separately:1 communications:1 continue:1 yields:1 either:3 follows:13 output:6 works:4 stationary:2 queues:6 poor:1 because:3 often:2 namely:1 sequence:14 sends:2 difficulties:1 successfully:1 some:8 multiuser:1 interarrival:1 elements:1 examples:3 recovery:1 specified:1 small:6 soc:1 generates:3 happens:7 provided:4 vol:20 describing:2 sufficiently:1 pet:10 hannon:1 per:3 instantaneous:1 track:1 does:8 select:1 provides:5 assuming:2 l2:1 content:1 proc:1 tsybakov:2 refer:3 pr:22 noise:1 june:2 equivalent:4 l1:1 dnm:3 step:1 binomial:3 inherently:1 although:1 bursty:1 asynchrony:1 epfl:1 finding:4 properties:1 after:1 noisy:1 integers:1 about:2 central:5 y2m:9 column:2 theorems:1 operates:1 meaning:7 2i:15 probabilities:20 ensure:3 characterized:1 introduced:1 xnn:1 equally:1 j1m:1 anantharam:1 significant:1 communication:10 into:6 within:2 numerically:1 bound:7 due:2 lies:2 right:1 accounts:2 determine:3 rezaeian:1 statistics:2 additional:1 possible:1 combinatorics:1 assumed:6 strictly:3 there:8 question:2 approximate:1 specifically:1 decode:3 start:2 way:4 transitioning:1 analyze:3 was:13 combined:1 function:7 complete:2 form:7 enough:1 converse:1 removes:1 but:5 encoder:1 wireless:2 expected:9 repeated:1 detect:1 decoder:7 hb:10 encoded:2 highest:1 j12:1 j11:1 begins:1 made:4 portions:2 whether:3 umerical:1 transmits:7 variations:1 maximum:12 us:5 mobile:1 below:4 represents:7 problem:11 define:2 similar:8 russian:1 bearing:2 proved:1 ad:1 up:3 defined:5 coincides:2 abstract:1 convex:3 fellow:1 single:3 asynchronous:6 periods:2 formulation:1 arrival:4 approximated:1 again:1 functions:3 codes:4 eventual:1 no:7 when:17 composite:2 disjoint:1 setting:3 coded:29 shannon:27 φ2m:1 superfluous:1 conclusion:1 node:5 draw:1 repeat:1 denote:18 users:2 pronounced:1 models:1 shokrollahi:1 symbol:11 become:1 uniformly:1 ultimately:1 variation:1 includes:1 generated:9 bounded:8 additionally:3 variable:5 transfers:1 needed:5 matrix:6 independently:4 correlated:2 implies:2 longer:2 using:3 assume:13 packets:58 together:1 equivalently:2 algo:1 mass:1 reception:24 time:30 n1:8 augmented:1 requires:1 original:4 once:1
|
0705.3059.txt |@word limited:2 extrapolated:1 ciao:2 luminosities:9 monte:2 four:8 facilities:1 tenuous:1 consists:4 hemmer:1 calculate:1 aug:2 ergs:5 tween:1 priddey:2 under:2 γc:2 γb:3 akylas:1 affect:2 grevesse:2 investigator:1 indices:3 falco:1 degeneracy:1 aeronautics:1 miller:1 consistent:12 direct:1 j1614:5 likely:2 multiwavelength:1 estimated:3 even:2 established:1 errors:8 dr3:18 selected:2 dr5:1 above:2 new:5 increasing:3 consisting:1 coefficient:2 agreement:1 worrall:4 ichikawa:1 here:2 ionization:2 reported:1 active:5 obtained:2 study:16 buckley:5 changes:3 9d:2 highly:7 counts:68 total:7 univ:1 plot:2 swings:1 would:4 therefore:5 separated:2 conclusions:1 byurakan:1 mg:3 palomar:1 mi:15 erg:2 emitters:1 exceptions:3 springel:2 give:2 charlton:1 magnitudes:11 absolute:2 end:1 provide:2 feature:7 how:1 significance:3 classify:1 seds:2 earlier:5 spectrometer:1 law:15 meaningful:1 guainazzi:2 effective:2 schneider:12 complexity:1 algorithms:1 correlation:5 order:5 over:8 satisfies:1 fit:33 miyaji:2 expectations:1 better:1 schmidt:1 versus:1 them:7 combination:2 weakness:2 break:1 band:43 serendipitous:1 they:9 routines:1 magain:1 40s:1 each:26 mean:26 financial:1 telescope:1 evolve:1 yvette:1 combining:1 substantially:1 laboratory:1 extract:1 quantify:2 rx:1 re:1 foundation:2 linear:4 given:22 free:2 standard:6 estimate:3 enormous:1 cosmic:2 filter:1 ats:2 corrections:2 loudness:4 loud:14 mellier:1 already:2 rank:1 relations:1 another:1 clarity:1 similarly:1 top:3 approximately:1 needed:2 rates:2 too:3 ranging:5 centered:3 tool:1 pimms:6 serve:2 japanese:1 binned:8 somewhat:2 totten:1 target:1 showed:2 second:2 project:2 matter:2 iron:2 tion:1 fonseca:1 spectrum:20 longo:1 manner:2 seen:3 relatively:7 strength:1 latter:1 responsible:3 fitting:20 2006a:14 2006b:2 circles:3 though:1 object:20 gallagher:6 assessed:1 doi:1 observation:5 calculated:25 points:3 ned:3 fitted:2 dickey:2 lewis:3 kashyap:1 colors:3 radio:27 bail:1 shaffer:1 proposed:1 gioia:1 rich:2 oct:2 do:14 de:3 agns:2 report:2 covering:1 fields:1 nrao:1 release:2 bal:30 reference:1 observes:1 generally:4 kolmogorov:1 zamorani:2 detection:5 radius:6 result:1 fail:1 best:23 subject:1 unable:1 drawn:1 discovery:1 nature:5 confusion:2 weak:5 however:6 harvard:3 contamination:1 fukugita:2 improve:5 suggested:1 received:1 essentially:1 lensed:23 vanden:5 compton:1 against:2 participating:1 semiparametric:1 mildly:4 variance:1 contribution:1 lenses:1 presumably:1 16d:1 royal:1 munchen:1 blending:1 broadening:3 targeting:1 mathur:2 basis:1 equations:3 three:17 been:36 extraction:1 much:3 interest:2 basic:7 expected:9 dots:1 xxv:1 spie:2 censored:2 applied:1 exception:2 tang:5 near:6 procedure:1 seven:5 exceptionally:2 toolkit:2 iv:10 ii:3 conf:2 voges:1 ig:13 perform:2 suggest:1 make:1 cumulative:1 clearly:1 comastri:1 complex:1 split:3 80s:1 several:2 fairly:1 i3:1 numerical:1 differing:2 cycle:8 kept:1 acknowledge:1 min:1 left:1 quoted:7 quasar:55 newton:13 boller:1 quotes:1 grades:1 identify:1 anders:2 previous:7 had:4 5p:1 spread:1 east:1 5b:2 insensitive:1 bands:2 survival:2 disagreement:1 possible:10 possibly:1 background:6 brunner:1 9f:1 advanced:1 occurring:1 wavdetect:2 performing:3 manual:2 detections:8 frontieres:1 www:1 right:3 piconcelli:2 dead:1 j2000:1 statistic:7 mcleod:1 speybroeck:1 bottom:1 electromagnetic:1 companions:2 ibata:1 core:19 particular:2 bold:1 rosat:10 powerlaw:1 properties:30 anomalous:1 o:16 efforts:1 slightly:2 obs:1 considerations:1 soc:1 contains:1 presence:2 lies:1 parametrizations:1 dempster:2 suffice:1 approximate:1 width:3 anderson:5 way:2 astrophysics:1 was:28 form:3 burrows:1 ford:1 failure:1 rauch:2 solar:1 removed:4 true:3 berk:5 builds:1 maximum:2 gawiser:1 kaspi:3 giommi:1 blueshifted:1 abstract:1 covers:1 evidence:1 exist:4 simulations:3 distributions:3 archive:1 triangles:2 constructed:1 nh:9 dotted:4 no:23 sramek:1 telemetry:1 ne:1 reality:1 digital:4 test:4 nv:1 optically:11 models:2 variable:2 coronae:1 longer:1 assume:1 uncovered:1 time:11 nuclei:1 l17:1 ron:1 global:1 mild:1 remarkably:1 lle:1 amplification:2 environment:1 finally:1 marks:1 analogous:1 advantage:1 zhang:1 lrs:1 little:1 presented:4 did:7 colombi:1 science:3 supergiant:1 upper:13 unexpected:3 findings:1 spectrograph:1 targets:7 spectral:17 appear:7 uniform:1 wolfe:2 goes:1 filled:6 satisfy:1 understanding:1 groups:2 along:4 taylor:1 appears:6 change:13 unidentified:2 margon:2 studied:6 steffen:3 monbukagakusho:1 eberly:2 poisson:1 geochim:1 usually:1 studies:18 plotted:2 wilkes:7 tasks:1 useful:2 problematic:2 subarcsecond:1 compare:1 marked:7 1st:1 shemmer:24 planck:1 liebert:1 positive:3 franca:2 criteria:4 today:1 5log:1 outputs:1 acceptable:2 apparent:1 acceptably:1 cases:1 annuli:1 impey:1 originally:1 values:25 following:3 gravitationally:16 trump:3 figure:20 arise:1 smirnov:1 sample:104 sdssj:1 performed:2 allowed:3 spanning:3 requirements:1 fortunately:1 discussion:1 positional:1 rubin:1 criterion:2 fourth:1 lehar:2 parameter:4 map:1 mar:1 may:8 max:1 respective:2 4th:1 mag:1 improving:1 data:40 irwin:2 ghz:4 cosmology:2 si:1 so:4 increase:1 talk:1 typical:1 pointed:4 statistical:9 differs:6 cold:1 still:3 derive:1 group:1 thank:1 maps:1 interesting:2 coordinates:1 forms:1 main:4 texas:1 renaming:1 non:7 thereby:1 half:1 sorted:5 nov:2 now:1 name:1 james:5 arrows:1 greisen:1 ledd:2 kellermann:2 spectroscopically:1 quarter:1 em:3 significantly:10 populated:1 ed:4 revised:1 astrophysical:1 wavelength:6 ew:2 ev:2 shown:17 3rd:1 space:3 furthermore:1 looking:1 extrapolate:1 formula:1 squares:2 shows:12 after:4 possibility:1 org:1 ore:3 rlq:3 inevitable:1 gott:2 cycles:1 arnaud:2 transition:1 kriss:2 massive:1 2005a:6 2005b:4 first:9 intervening:2 lyons:2 directly:2 impossible:1 open:5 angular:3 size:2 surveys:6 checked:3 kochanek:1 gif:1 yin:1 accordingly:1 indicate:1 1c:2 alfred:1 1f:1 white:1 national:2 gives:1 deg2:2 fraction:7 accurately:2 centroids:1 released:1 than:22 coefficients:2 population:2 wide:3 third:2 require:4 modelled:2 hasinger:1 were:51 bauer:2 sao:1 san:1 correction:3 locations:1 footnote:1 j1426:5 turner:8 any:19 odewahn:1 aside:2 note:13 potential:2 take:1 green:2 multiple:1 opposite:1 clearer:1 tract:1 probes:2 latex:1 especially:2 considered:1 average:3 adopt:3 typeset:1 bade:3 mrk:1 typically:2 quantity:1 slope:9 show:11 discovered:3 bright:3 inconsistent:3 threshold:2 xmm:13 ratio:11 aτ:8 enough:4 roperties:2 only:11 black:1 boyle:1 diamonds:1 cannot:2 median:5 summary:2 predicted:15 bautz:1 violated:1 relative:1 satisfying:1 extragalactic:1 outside:2 between:20 affecting:1 across:12 arrival:1 august:1 vertical:2 jr:1 gratefully:1 jets:1 pixels:1 efficiency:4 many:3 region:7 according:2 jacoby:1 σx:4 xspec:3 siemiginowska:1 regressions:3 comes:1 nearby:1 among:1 color:1 sampling:1 analyzed:2 grants:1 spans:2 associated:2 considering:4 mark:2 combined:7 anomalously:1 6c:1 elvis:1 photon:13 αox:84 sambruna:1 those:12 case:1 cash:3 profiles:1 subsample:2 50s:1 discrepancy:1 quiet:3 outram:1 bias:4 different:9 same:3 cotton:1 ludwig:1 events:1 investigated:2 constraining:1 largely:2 pennsylvania:2 without:2 components:2 relied:1 ccd:3 model:13 effects:7 being:1 when:16 rest:21 sampled:1 widest:2 hint:1 seems:1 instrument:2 samples:4 psf:3 aimpoint:2 dark:2 pss:19 accepted:1 correcting:3 ruled:1 reduces:1 franceschini:1 benefit:1 either:2 downward:2 universitat:2 redshifts:2 images:11 provided:2 confirm:2 cosmogony:1 provides:1 measuring:2 biased:4 power:15 equivalent:1 2c:1 notable:1 biases:1 ratios:6 emulateapj:1 comparison:2 package:1 og:1 practical:2 ox:5 os:1 kitsionas:1 cambridge:2 inclusion:3 communication:3 image:4 ltsa:1 accounts:1 determine:1 het:3 log:37 area:7 assumed:1 astrometric:1 there:9 stark:2 dispersion:10 detectable:2 low:15 stars:1 complete:1 jun:2 jul:4 mnras:6 applying:3 stanford:1 ωm:1 agree:2 detailed:1 laird:1 ac:9 ab:1 aj:21 ao:6 general:2 examine:2 enable:1 ax:3 az:1 fill:1 again:1 assessing:1 tight:2 caltech:1 parameterizations:1 poor:1 requested:1 60s:1 students:1 stocke:1 includes:3 grupe:2 important:2 keeton:1 coverage:10 included:8 brandt:13 nelson:3 cores:1 resolution:5 robert:1 represent:1 abundances:1 consider:3 pointing:1 caused:1 lack:1 unweighted:1 invariably:1 follow:1 disk:1 synthetic:1 removal:1 kα:2 program:2 presentation:1 egami:2 mpc:1 very:3 ostriker:2 sloan:4 fan:1 dispersions:2 fall:1 difference:6 treating:2 akritas:1 broderick:1 list:2 large:13 small:6 becker:2 schartel:2 past:1 rate:4 asp:3 further:9 gunn:3 what:1 brien:3 sur:1 intersect:2 method:7 full:26 component:11 excess:4 strong:5 observing:3 search:1 allows:2 vignetting:1 amount:2 published:2 narrow:5 helps:1 brightest:1 via:2 followed:1 vio:1 aimed:1 extinction:2 balnicity:2 eddington:1 faint:2 strauss:1 comparing:1 magnification:1 bonilla:1 taken:9 more:9 flat:1 diamond:1 corrected:9 emission:18 tested:1 j1701:7 varying:1 known:5 none:2 rqqs:27 unrealistic:1 recall:1 equation:8 vs:6 evolved:3 dec:4 history:2 f2:4 cosmological:2 minimum:1 numbers:3 sense:1 exclude:3 axis:8 cso:1 01h:1 acta:1 galactic:12 fx:2 derived:8 catalog:17 plane:4 fe:1 horizontal:2 response:1 short:1 spectra:19 negligible:1 ressler:1 davey:1 fλ:3 fν:1 paper:9 signs:1 suffer:1 its:8 style:1 energies:5 peng:1 detected:11 systems:4 toussaint:1 might:1 incompleteness:4 motivated:1 oke:2 cosmochim:1 hereafter:4 designation:2 fully:1 level:12 chandra:40 radial:1 found:32 referred:3 heavy:1 energy:15 hard:4 reduce:1 carvalho:1 extended:4 expect:6 measurement:2 quantum:4 event:1 funding:1 missed:9 chaffee:1 l2500:36 since:12 projected:1 denoted:1 sbs:4 fiber:3 ast:2 asc:1 imaging:2 members:1 matthews:1 fluxlimited:1 unresolved:1 just:10 rosner:1 wolter:1 probability:2 number:15 utilized:3 done:1 defects:1 fluxes:5 differ:3 jet:4 introduction:1 twenty:1 gpg:1 pspc:1 dposs:2 assumption:1 wisotzki:1 calculations:3 molecular:1 smoothed:1 observations:25 relationship:3 park:1 optical:33 authors:1 asca:1 center:1 double:1 aims:1 minimize:2 determined:2 toward:1 treated:1 interactive:1 7f:1 7c:2 strengthen:2 substantial:1 headings:1 dobrzycki:3 quasars:142 lie:2 zero:2 lim:1 flares:1 finding:4 extrapolating:1 added:4 populate:1 quote:4 most:36 jsp:2 complementing:1 significant:10 measured:10 clear:2 cover:2 km:1 ks:2 part:5 exp:1 institutions:1 particularly:4 fink:1 relation:12 georgakakis:1 find:7 parameters:8 ournal:1 assertion:1 condon:2 factor:3 circle:2 columns:6 kassiola:2 lyα:7 dependent:7 compiled:1 lehmann:1 valuable:1 competing:1 combinations:2 during:1 alexander:2 continuum:1 biometrika:2 arxiv:2 remove:1 investigate:4 3d:1 bars:8 ser:2 sep:7 astrometry:2 ara:3 see:33 sed:1 sobolewska:1 close:1 materially:1 contour:5 foltz:1 halves:3 gottingen:1 consecutive:1 hold:1 conditions:1 siebert:1 available:3 catalogs:1 statistically:5 complementary:13 targeted:6 complement:1 spectroscopic:5 both:13 improved:1 munoz:1 sensitive:3 improves:1 whole:1 hatziminaoglou:1 point:1 smith:1 throughout:1 adaptively:1 described:6 helfand:1 due:13 garmire:8 pc:22 reduction:4 pa:1 laor:3 ph:2 pi:11 pn:1 asurv:4 modelling:2 gal:1 representative:3 systematic:4 djorgovski:2 look:1 solid:9 while:10 microlensing:1 error:10 rix:1 saturation:1 apjs:5 definitive:1 santos:1 grant:3 barnes:1 scaramella:1 netzer:1 ews:2 resulting:3 ray:136 higher:8 used:25 levels:3 yuan:3 recent:1 lower:4 older:1 maiolino:1 feigelson:5 analysis:17 magnified:1 edge:3 kelly:4 parametric:5 eracleous:2 observed:27 ellipticals:1 shape:1 using:37 absorbers:1 tables:2 extracted:3 rlqs:5 alternate:1 guaranteed:1 source:13 location:2 absorbed:1 psu:1 remaining:4 nasa:3 bin:20 format:1 showing:1 quest:1 private:3 integer:6 imposed:1 systematically:1 follows:1 signal:1 separately:1 flux:29 continue:1 methods:4 ramsey:2 creation:1 some:9 back:1 ultrasoft:1 sight:3 scale:1 measurements:4 per:2 centroid:1 tends:1 proc:2 esults:2 oey:1 confidence:12 br:14 constraint:4 brinkmann:2 range:26 tananbaum:13 reimers:10 cutoff:2 into:9 within:15 nsf:1 locus:2 appropriate:3 lensing:6 primarily:1 uncertainties:2 statistics:3 span:1 placing:1 canizares:2 avoids:1 wnb:2 considerably:1 rees:2 murphy:1 line:22 treats:1 uv:11 up:2 us:1 um:3 exploration:1 spectroscopy:2 similar:3 constant:4 hobby:2 defined:2 single:1 chartas:7 dashed:8 nal:1 priori:2 department:2 deviate:1 dale:1 clean:12 calculating:1 problems:1 william:1 allowing:1 algorithm:4 age:1 required:3 holes:1 fossati:1 declination:1 dot:1 jansen:1 requires:1 having:2 bisector:1 broaden:1 results:16 softer:1 edu:5 amplified:2 osmer:1 does:7 contours:9 excluded:5 include:5 presently:1 vla:1 lopez:1 lockman:2 trough:1 continued:2 entire:2 positions:4 notes:2 radii:1 smaller:3 loaring:1 acis:9 chavushyan:1 croom:2 carlo:2 index:9 giving:1 expressed:1 3f:1 kovner:2 justification:1 chose:1 hornschemeier:1 respectively:11 jointly:1 explore:1 objects:20 separation:2 l26:1 l29:2 consideration:2 extreme:3 larger:3 suggests:1 survey:12 prochaska:1 shaded:2 honor:1 named:1 scales:1 apr:1 photometric:4 s05:6 s06:51 apj:34 decrease:1 apm:13 buildup:1 use:4 feb:4 remains:2 few:3 ust:1 examination:1 panel:9 formally:1 started:1 becomes:1 occurred:1 transient:1 babu:1 normalized:1 iii:4 engels:4 account:2 averaged:1 obvious:1 thin:1 universe:8 meet:2 drops:1 weaker:1 flaring:1 high:25 effectively:1 ascension:3 rodr:1 lamb:1 six:2 georg:1 regions:6 spurious:2 dwj:2 instead:1 circular:4 outlier:1 hazard:1 independent:1 fits:9 physical:1 light:6 lines:10 correspond:2 element:1 s3:1 allow:1 lν:7 mjy:1 bins:8 astronomical:2 bechtold:4 symbols:4 enclose:2 jimenez:1 galaxy:1 porquet:2 efstathiou:2 decay:5 chosen:2 macalpine:2 redshift:65 degrees:1 clusters:1 archival:19 freeman:2 greater:4 outlined:1 material:6 innermost:1 dai:2 february:1 university:6 identified:2 sufficiently:1 kpc:1 l2:18 mode:2 references:5 beneath:1 constraints:4 related:1 society:1 frequency:3 measure:4 our:127 special:1 out:5 matt:1 rev:1 wholly:1 supports:1 integrated:1 ofek:3 galaxies:5 70s:1 completely:1 york:3 stepanian:2 likelihood:1 nvss:3 determining:1 could:1 times:2 austin:1 strictly:1 kendall:2 ricker:1 nedwww:1 decribed:1 date:4 koekemoer:1 aperture:7 observer:1 histograms:3 system:3 adopted:1 their:15 accretion:4 testing:1 plausibly:1 45m:1 epochs:3 ipac:1 individual:5 amplitude:1 providing:1 steep:1 hz:2 false:1 hagen:6 discussions:1 unlikely:2 becklin:1 need:1 constrained:2 misawa:2 linked:3 angle:1 quartile:2 studying:2 strateva:9 detector:2 accuracy:1 ugriz:1 eight:1 intrinsic:25 annulus:1 radiating:1 shimasaku:1 snapshot:2 constrain:3 fact:2 selection:9 absorbing:5 agreed:1 agrees:4 principal:2 highest:1 based:7 knowledge:2 should:1 jan:3 candidates:2 tude:1 areal:1 courvoisier:1 nag5:1 exceptional:1 michigan:1 overall:1 joint:13 ones:1 richards:8 evolution:6 dps:2 densities:2 luminosity:49 contain:2 including:8 fixed:2 view:1 monochromatic:2 omission:1 computed:4 exists:1 frame:33 correlations:4 recently:1 luminous:51 lipovetsky:1 luv:2 nuclear:1 tend:1 xray:1 baade:1 state:2 identification:2 wavelet:1 routine:1 lum:2 variability:3 cristiani:1 implementing:1 kev:77 psfs:1 comparably:5 limits:10 la:2 admit:1 otherwise:1 comment:2 strongly:1 unclear:1 cm:14 conclude:1 cc:2 cb:2 cxc:2 decreases:1 maximize:1 vignali:15 table:28 addition:4 wills:3 bianchi:2 utilizing:1 define:1 field:1 tytler:1 corresponding:4 ote:1 binning:1 angles:4 covered:6 soifer:1 reeves:5 present:10 maccacaro:2 unlike:1 strophysical:1 value:22 will:5 ar:4 lx:1 wabs:1 neugebauer:1 σuv:4 layer:1 surdej:4 thus:4 site:1 examined:2 regression:6 perhaps:1 administration:1 cross:3 unity:4 oint:1 largest:2 units:12 http:5 upon:9 effect:1 pectral:2 censoring:1 tighter:1 treister:1 off:5 reflection:2 shanks:1 well:17 hafner:1 residuals:10 redshifted:1 sets:4 position:1 less:5 accurate:3 obtain:1 sources:59 distant:1 nousek:4 web:1 hamburg:1 rapid:1 preprint:1 density:12 absorption:36 sky:9 appeared:1 valid:1 divided:2 resolved:1 tests:1 increased:1 ample:3 lehmer:1 increases:4 five:1 press:3 prominent:1 loss:2 necessary:1 helpful:1 excluding:2 sizes:3 lavalley:2 perley:1 isobe:6 become:1 soft:11 page:10 therein:3 because:2 searching:2 proper:1 avni:12 lead:1 broad:6 avoid:2 magnitude:4 assuming:7 sdss:143 noise:1 stellar:2 although:9 flanagan:1 analyses:15 noisy:1 about:6 photometry:4 carried:2 column:21 freedom:1 dependence:9 l9:1 software:3 previously:3 h0:1 assess:2 gehrels:2 ivezi:1 additions:1 unbinned:2 van:1 additional:14 iyomoto:1 support:1 awarded:2 aldcroft:1 inner:1 function:1 north:1 hs:19 georgantopoulos:1 but:7 histogram:2 astro:3 neutral:4 kraft:2 he:1 count:10 made:1 evident:2 whether:2 gravitational:2 variations:1 placed:5 below:14 owing:3 limit:8 distribution:5 bandpass:1 hopkins:1 ine:1 functions:1 compared:3 variety:1 percent:1 detail:5 other:14 details:2 stat:1 francisco:1 star:1 rqq:1 ultimately:1 variation:1 astronomy:2 exposure:5 apertures:4 factors:1 inset:2 searched:3 4f:1 4c:1
|
0705.3060.txt |@word limited:3 measurements:1 rev:11 results:6 four:8 softer:1 overlap:1 contributions:2 charge:4 elliptic:1 include:1 dramatically:1 zhang:2 very:8 focus:1 figs:2 experimentally:2 illustrated:1 steeply:1 large:7 shuryak:1 small:1 smaller:1 consistent:4 fragility:1 imply:1 enhancement:4 further:2 dynamics:4 dial:1 opaque:3 sum:1 selected:1 near:18 above:1 new:1 falling:1 increasing:4 method:1 contrast:1 wiedemann:2 loose:1 component:21 punch:5 ranges:2 path:4 quite:1 interpret:1 obtained:3 casalderrey:1 study:5 typically:2 suggests:4 shaded:1 drees:1 via:3 followed:1 projection:1 scaled:1 gluon:5 traversing:1 meson:6 malization:1 landscape:1 eye:1 usa:1 distinct:3 maybe:1 centrality:7 scenarios:1 nucl:6 distortions:1 reflects:2 more:1 flat:1 partons:10 th:2 initiated:2 successful:1 becomes:2 corrected:2 emission:2 effect:1 dremin:1 particular:1 insights:1 evolves:1 rights:1 modified:2 bias:4 values:1 kovner:1 eskola:2 weaker:1 wang:4 indicated:1 scan:2 relativistic:1 sps:4 chiu:1 high:15 collision:2 minimum:2 partner:13 species:1 absolute:1 winter:2 turn:1 provide:3 discussion:1 regions:1 far:1 varies:1 instead:1 dominance:1 may:2 quantified:1 after:3 mapping:2 reflect:3 plane:1 geometrical:1 data:5 grow:1 types:1 collective:1 correlate:1 sr:7 spectra:3 lines:2 rather:1 so:2 sn:3 allow:1 correlation:10 cherenkov:2 bins:4 typical:1 origin:2 ceres:4 vary:1 produced:1 through:5 looks:1 ruppert:2 still:2 excitations:1 its:4 contaminated:1 triggering:1 jia:5 energies:2 interesting:1 brook:1 pct:1 detected:1 fig:19 might:2 eur:1 non:1 good:1 affected:1 reappearance:1 processes:1 adams:2 polosa:1 they:4 discuss:1 nor:1 represents:1 february:1 2r:1 fully:1 university:1 arrows:1 events:3 conic:1 2a:1 2b:1 quenching:10 side:40 reproducing:1 heavy:1 exacerbated:1 energy:19 hard:13 gaussian:1 ex:2 our:1 extract:1 event:1 out:2 shown:6 since:1 crucial:1 increase:1 collisions:12 investigation:1 dominated:1 suggesting:2 induced:7 independence:1 shows:8 inevitably:1 zyam:1 mechanisms:2 given:2 quark:1 complicated:1 span:1 pairs:5 interaction:1 created:1 geometry:1 widths:1 could:2 introduction:1 length:3 signature:1 hence:1 diminishes:1 hadrons:7 adare:1 feed:1 features:1 probability:1 koch:1 number:1 dominating:1 directly:2 size:1 little:1 jet:45 glauber:1 phenix:17 leading:1 top:1 iaa:6 system:1 response:11 1a:1 indicate:1 1c:1 intermediate:4 1e:1 1d:1 1f:1 frame:1 gyulassy:1 centered:6 baryon:6 relative:2 shock:3 than:9 dynamical:1 peaked:1 albeit:1 quantitative:1 third:1 depends:1 tomographic:1 shower:1 matter:7 amplitude:1 recombination:1 toward:1 tangential:1 rad:2 raa:1 renk:4 need:2 seen:2 their:3 relatively:2 depict:1 angle:5 min:1 pa:11 latter:2 npart:2 mechanism:1 note:2 absorbed:1 tool:1 opposite:1 collaboration:6 most:2 montana:1 gauss:1 significant:2 preliminary:4 pair:1 baryons:1 measured:1 mach:4 especially:1 calculated:1 later:1 flow:2 principle:1 distinctive:1 constrain:2 left:3 physics:3 fact:1 incorporate:1 show:5 keywords:1 trivial:1 partonic:5 feng:1 ratio:4 just:1 much:2 window:1 haven:1 only:3 factor:4 local:1 gev:43 di:6 dependent:3 overall:3 fluid:1 combinations:1 evolution:1 arxiv:5 yield:23 vitev:2 armesto:1 fixed:2 set:1 sensitivity:1 correlations:1 maximum:1 observed:4 see:3 radius:1 close:4 closer:1 owens:1 nuclear:3 away:21 various:6 radiated:1 between:2 probably:2 notice:2 statistically:1 emitted:3 however:5 efficiency:1 jets:3 jetp:1 suppressed:2 concentrated:2 both:6 essentially:2 σn:1 triggers:2 many:2 region:5 assumed:1 etc:1 merging:1 comes:1 detailed:4 cm:1 simple:2 sky:1 cf:1 coincidence:1 deflected:2 constant:1 broadening:1 collider:1 enhancements:1 pt:66 come:1 acceptance:2 due:5 been:1 pb:4 reduction:1 trigger:11 combined:1 basic:1 expected:2 ph:6 disfavors:2 lett:7 corresponding:2 reaction:1 bulk:1 observe:1 understand:2 angles:1 former:3 those:1 multi:1 majumder:1 pacs:1 solid:1 value:4 while:2 applies:1 situation:1 gamma:1 almost:1 awayside:1 thus:3 surprisingly:1 surface:10 middle:1 vs:2 insensitive:1 sits:1 different:2 sensitive:1 lengths:1 suggest:2 radiation:5 expect:1 same:3 any:1 bands:1 modification:4 several:1 composition:2 higher:2 peaks:4 boosted:1 ness:1 hand:3 ion:1 hep:6 lower:6 off:1 center:1 well:3 roughly:1 analysis:1 experimental:1 components:9 studying:1 position:1 model:1 chemistry:2 charged:3 bending:1 proposed:1 less:3 able:1 valuable:2 shape:9 underlying:1 scattering:1 loizides:1 density:1 absorption:1 regarded:1 seems:1 evidences:1 extends:1 location:2 displaced:1 plasma:1 characteristically:1 bin:3 aspects:1 around:2 big:1 possible:2 corresponds:1 possibly:2 vacuum:2 average:2 dφd:1 rhic:3 helpful:2 shoulder:6 loss:7 modifications:1 appearing:1 lost:4 particle:6 interestingly:1 chamber:1 yields:1 evolutions:1 become:1 soft:5 reduced:2 sketch:1 right:1 concave:2 some:2 back:2 deflection:1 strongest:1 star:1 transport:1 teaney:1 gradually:1 total:1 dense:1 lead:1 broad:3 though:1 tangentially:1 per:5 mesons:1 23rd:2 fragments:1 propagating:1 proc:1 regain:1 power:1 elucidate:1 step:1 ratios:2 salgado:2 hwa:1 properties:2 hadron:10 constrains:1 comparison:2 about:1 central:8 would:3 column:1 discussed:1 dependence:9 compatible:1 remains:1 range:4 regular:1 steadily:1 constraints:1 slightly:1 stony:1 coverage:1 into:1 three:4 references:1 decrease:1 parton:4 next:1 uncertainties:1 ridge:9 additional:1 extremely:1 unmodified:1 long:1 width:4 workshop:2 low:2 fraction:2 flatter:1 probes:1 was:3 naturally:1 function:5 head:4 medium:28 hr:4 regard:1 but:5 adler:2 fragmentation:7 embedded:1 whether:3 multiplicity:2 up:2 quantitatively:1 converted:1 distribution:8 panels:2 similar:5 called:1 interplay:2 strongly:3 associated:2 inclusive:2 stronger:1 abstract:1 pid:2 single:3 au:33 distributions:3 compared:1 no:1 dashed:1 whereas:2 detail:1 other:3 rapidity:1 department:1 nq:1 constraining:1 picture:3 elements:1 snn:3 separate:1 models:5 solana:1 distance:1 transported:1 important:3 peak:5 suppression:2 proceeding:1 implies:2 normally:1 time:1 original:1
|
0705.3061.txt |@word neighbors:1 breadth:5 gu:1 concept:1 homomorphism:5 consider:2 chain:23 impression:1 induces:2 zmin:15 global:4 focus:2 existing:4 illustrated:2 insights:1 visualization:1 computation:9 edu:2 consists:2 dist:5 disk:4 contributions:1 localized:50 row:4 whose:31 rivest:1 depend:3 graph:1 technique:7 finally:5 monotonically:1 those:3 th:4 localizes:4 connecting:2 analogous:1 include:1 maximum:2 p2:12 updated:2 vert:23 straightforward:5 very:1 bulletin:1 p0:2 choice:3 cutting:1 corollary:1 every:1 polytechnic:2 difference:3 matrices:14 rn:1 rad:6 treating:1 dim:10 xt2:1 solves:1 accompanying:1 deficient:1 die:3 driven:1 t2:3 applicable:2 t1:3 large:10 discrete:11 convenience:2 vector:14 min:14 recall:3 small:2 round:1 bd:30 smaller:1 force:1 zi:2 nullspace:9 zk:9 zd:22 subproblems:1 consistent:3 parameterization:1 measurable:2 maintain:1 approximation:1 second:17 picked:1 chen:1 further:4 defining:1 odd:1 substitute:1 canonical:2 even:3 intersection:1 errors:2 plays:1 appear:2 3s:1 eppstein:1 section:19 selected:1 expressed:1 networks:2 current:3 steiner:6 version:2 ˆd:2 reconstruction:1 boundary:33 deal:3 new:18 order:11 method:9 deemed:1 full:1 notions:2 exchange:1 respectively:13 never:4 component:2 here:3 desired:1 objects:1 groups:6 excess:1 directions:2 path:3 ascending:4 z0:16 z1:33 z2:37 z3:16 search:4 suitably:1 institute:3 study:3 vectors:5 completely:1 contradiction:6 ignoring:1 suggests:4 amount:2 products:1 procedure:26 suggestion:1 pick:3 usually:1 california:1 sealing:12 studies:1 involves:3 quotient:2 composed:1 diameter:3 equivalence:1 family:1 elaborated:1 prefer:1 research:2 modifying:1 boolean:1 texture:1 apply:3 total:4 tools:5 triangulated:1 linearly:21 use:13 handled:2 would:6 prove:18 found:2 positive:1 contains:6 visit:2 tail:1 tightly:1 next:15 few:3 linear:19 wood:2 call:4 therefore:25 m3:9 endowed:1 edelsbrunner:8 generators:5 noisy:1 tell:2 reflects:1 more:26 abusing:2 formally:11 duality:2 h1:11 becomes:1 naive:4 hereditary:1 binary:1 xt1:1 carrying:18 proceed:4 context:1 φk0:10 foundations:1 cardinality:2 must:5 keeping:1 balls:7 augment:1 indicates:1 smin:5 equation:7 work:6 modified:7 measures:5 matroid:7 incremental:1 values:8 rectangle:2 homotopy:1 following:11 trans:1 root:1 example:5 proof:12 compare:2 omit:1 wang:1 figure:29 do:10 process:1 correctness:1 share:1 purposes:1 high:4 effectively:2 minimum:1 numbers:4 want:5 sense:1 replace:1 npcomplete:1 pink:1 information:4 respective:2 docking:1 goal:7 provide:4 discussion:4 get:1 feature:5 cormen:1 write:3 how:3 nontrivial:37 criterion:1 leiserson:1 adjacent:1 significance:1 optimal:37 hi:7 constraints:3 fp:12 simplicity:4 express:2 algebra:4 may:14 max:7 after:6 mapping:3 ball:43 diagram:4 applications:1 tries:1 produce:1 scratch:1 designed:1 multiplication:2 end:8 meaningful:3 subsection:2 aα:1 changes:1 natural:3 third:4 computations:7 consequently:6 explicit:2 correspond:3 element:6 rather:1 complexity:10 ones:2 algorithms:4 fp0:1 fundamental:2 enter:1 representation:1 imply:1 blowup:2 se:9 operations:2 restriction:1 hi1:5 least:3 precompute:3 produces:3 hierarchy:1 over:7 entries:5 years:1 stability:3 course:1 dijkstra:1 paper:8 including:2 filters:2 mentioned:3 satisfies:4 still:4 skeleton:1 its:36 before:2 sciences:1 style:1 derive:1 group:36 probability:1 img:1 maps:1 chosen:7 hil:9 zˆ:1 solving:3 bmin:54 actually:2 forms:3 munkres:1 absence:1 choose:12 omitted:1 barcodes:1 stoc:1 1dimensional:1 into:3 maximal:2 conveying:1 non:3 good:2 return:2 greater:4 combination:2 propose:1 largest:1 introduce:6 number:10 break:1 framework:1 qualified:2 they:5 instead:4 change:3 sorted:3 multidimensional:1 now:2 discuss:1 nor:2 establishes:1 easily:3 february:1 several:1 simplices:38 betti:6 2s:12 always:2 presented:5 via:2 l2:7 each:25 accommodated:1 referred:1 subset:6 niyogi:1 weighted:1 chazal:1 directly:3 weight:2 doing:1 hard:5 reduce:6 idea:2 related:3 solution:1 challenges:1 literature:1 computable:1 remove:1 b1:2 measure:36 our:24 repository:1 summary:1 out:1 ultimately:1 clarity:1 matrix:27 space:26 quantify:1 furthermore:9 singular:1 crucial:1 diam:6 requires:1 combinatorial:2 daniel:1 performs:4 denoted:2 newly:1 induced:2 sensor:2 independence:3 shows:3 log2:9 theory:8 localization:4 m2:1 hull:2 contain:6 differ:5 greedy:12 quite:2 reason:2 homologous:3 collection:1 initialize:1 intermediate:4 measurement:1 generate:4 shortest:13 care:1 definition:13 pairs:1 fixed:1 updating:2 geometry:11 starts:2 similarly:1 four:3 so:3 times:17 filter:26 turn:2 length:11 exponentially:2 soda:1 hence:1 βn:1 facilitate:2 assign:1 first:43 exponential:1 intuition:4 already:4 subcomplex:16 features:14 symmetry:1 blown:1 pn0:1 variables:1 pseudocode:3 powerful:1 geodesic:51 rank:38 brute:1 restrict:1 randomized:1 multiplying:1 done:1 specifically:5 another:2 changing:2 carry:1 equations:1 precisely:1 quality:1 long:2 xt:1 size:59 city:1 given:29 necessarily:3 seq:6 likely:1 needed:1 introduction:2 data:6 technical:1 construct:4 their:26 assumption:3 listed:1 statement:5 recent:2 gives:3 herbert:1 isosurfaces:1 sealed:3 big:2 centered:11 continuous:2 proving:3 morozov:1 part:1 peled:1 somewhat:1 authors:2 constituent:1 representing:1 than:15 coefficients:1 distance:15 kind:1 erickson:8 last:1 showed:1 september:1 approximations:1 tree:1 depends:2 recording:3 hmin:70 classes:80 rensselaer:2 extreme:1 radius:23 providing:1 solely:1 βd:44 acquisition:1 contradicts:5 lowest:1 motivation:1 fashion:1 false:1 considerably:1 footnote:1 cohen:6 rank1:2 yielding:1 say:4 manner:2 need:10 seem:3 any:67 relatively:1 rmin:25 built:1 zero:10 homological:2 efficient:1 convenient:2 latter:3 maxq:1 able:4 ideas:2 note:7 instance:1 k0:69 take:4 neither:2 finding:6 destroy:6 subject:3 mit:1 persistence:14 circles:1 play:1 exactly:5 multiple:1 though:3 germane:1 laplacians:1 complexes:4 sets:7 what:2 most:4 satisfying:2 importantly:1 aτ:2 definitions:1 pair:3 filtration:1 future:1 measured:1 class:95 annulus:1 especially:1 neighboring:4 clear:1 cover:4 vertices:27 face:4 traditional:1 giving:1 points:1 cosets:1 combinations:7 subgroup:2 notion:2 fact:7 quantity:2 precise:1 incorporate:1 hi2:2 phenomenon:1 show:12 text:1 random:1 page:1 connect:1 purely:1 radii:2 spaces:13 computers:1 conclusion:2 determined:2 trivial:8 find:10 homology:220 aσ:5 bern:1 based:9 simulating:1 extending:1 explain:1 minus:1 written:5 topological:25 should:4 lemma:7 only:28 explicitly:1 candidates:1 intrinsically:1 zomorodian:5 acm:2 preliminaries:1 columns:19 ranking:2 manifold:1 his:1 triangle:1 above:1 localizing:9 means:4 dependent:5 between:5 overall:2 inclusion:2 subcomplexes:3 cannot:4 nearly:2 words:4 international:1 dv:1 during:2 hik:2 procedures:3 geometric:3 freedman:2 areas:1 gray:1 runs:8 increasing:1 de:1 argmin:5 tube:1 upper:3 conditions:1 transposition:1 arxiv:1 state:1 yield:1 consisting:1 affinely:1 optimally:1 underlying:2 wish:1 through:2 nβ:2 cycles:57 mrozek:1 distinguishes:1 kernel:1 set:26 decides:1 computed:24 exists:7 achieved:1 transpositions:1 generally:1 testing:8 bounds:3 relative:26 see:18 wiedemann:6 geometrically:1 result:10 seal:7 close:8 submatrix:3 bk:5 ieee:2 techniques:4 surfaces:1 results:2 dk0:1 matter:1 ways:1 lengths:1 review:1 please:1 representatives:1 tend:1 boundaries:8 behind:2 smallest:61 various:1 carlsson:5 drawn:1 justified:1 previous:3 approach:1 submanifolds:1 notice:2 terms:1 interchangeably:1 extend:4 nature:1 importance:3 modify:1 attention:1 combining:1 however:10 interfere:1 conjecture:2 nd:2 concentrate:1 removing:1 extent:1 distinguish:3 modeling:1 picking:3 amer:1 ker:1 topology:13 both:8 σi:9 folding:1 weinberger:1 many:2 ill:1 precomputing:2 according:10 called:4 paring:1 objective:1 present:6 poincar:1 embedding:1 faces:3 whole:4 comes:1 otherwise:2 among:1 filtering:1 fields:3 point:1 reasons:2 cg:1 corresponds:12 sampling:2 dimensional:26 simply:2 rpi:2 ordered:1 throughout:1 expensive:1 math:2 described:2 perspectives:1 leads:4 basis:66 union:2 decent:1 oder:1 due:2 been:6 pmin:21 ai:13 reduction:15 much:2 coarse:1 expected:1 applying:2 improve:1 empty:1 define:14 addison:1 life:1 aj:6 corresponding:23 samples:2 σj:2 sufficient:1 formed:2 subspace:2 remark:6 else:1 ordering:6 observe:2 lives:2 representative:13 graphics:1 c2:3 c1:3 denote:6 assigning:1 former:1 manifolds:2 case:10 p3:4 multi:1 p1:15 look:1 subsets:3 p5:2 might:1 tetrahedron:1 harder:1 minz:1 value:7 will:20 euclidean:2 while:3 suppose:8 transactions:1 applies:1 property:1 characterizing:1 identical:1 seven:1 changed:1 whenever:1 almost:1 vi:2 vj:1 2βd:3 thus:15 them:7 surface:3 equal:3 characterize:1 itself:1 ready:2 protein:1 wisely:1 agarwal:1 capture:3 different:7 develop:1 since:13 anymore:1 perform:3 belong:6 same:11 aided:1 beside:1 desbrun:1 complex:45 triangles:1 devised:2 modification:4 limitation:1 finite:13 φl:1 events:1 higher:1 independent:19 used:6 assigns:1 smale:1 require:2 octagon:1 hand:2 triangulation:2 edges:16 uses:2 purpose:1 infinite:2 robust:2 interested:1 identity:1 cycle:125 relies:1 lower:10 task:1 schr:1 center:10 cardinalities:1 restricted:2 no:15 well:4 analysis:3 without:1 solids:1 edge:18 solve:3 components:1 consistency:2 entry:3 dimension:20 researchers:1 left:4 aγ:3 background:1 just:5 captures:1 rest:5 torus:4 shape:1 relevant:3 identify:1 correspondences:1 facts:3 localize:8 yet:1 alignment:1 reduced:6 insight:1 sampled:1 emerging:1 death:4 application:1 ease:1 conclude:1 seems:1 hoppe:1 improvement:6 simple:1 add:2 belongs:3 deliberately:1 easy:2 theorem:31 born:1 input:12 har:1 guarantees:1 euler:2 bnd:2 real:2 tests:1 elevation:1 stein:1 biologists:1 showing:2 posed:1 possible:3 test:5 increases:1 sorting:1 know:7 birth:15 press:1 using:20 height:1 formal:2 decremented:1 necessary:1 like:9 sizes:5 sublevel:3 follows:9 qualitative:1 performing:3 serves:1 specific:1 collect:1 bpr:7 yields:4 either:2 sparse:9 arbitrary:4 become:1 works:4 signal:1 mathematical:1 because:8 nm2:1 often:2 namely:20 sequence:2 some:7 begin:1 cs:3 added:1 examples:3 choosing:3 convex:2 cd:26 intend:1 extended:2 nonzero:7 provided:2 scale:1 dimensions:10 lead:1 ghrist:2 nonempty:2 avoid:3 unavoidable:1 thank:1 wrong:1 track:1 does:7 decomposition:1 expressing:1 chains:10 friedman:1 minimal:9 refer:1 measuring:10 noise:4 run:1 zα:1 vertex:19 equivalent:1 l1:7 silva:1 bj:1 update:1 wesley:1 bp:10 simplex:23 although:7 output:8 augmented:5 relating:1 notation:4 properties:3 takes:15 constrains:1 exposition:1 about:2 zβ:1 carried:33 extension:2 constraint:3 column:30 fp1:20 o:46 essential:16 carries:24 a2:24 plus:1 neighbor:2 simplification:1 own:1 connected:1 introduced:1 slightly:3 confidence:1 soc:1 computational:15 statements:1 coverage:2 computes:4 presence:1 h2:1 tight:1 image:2 within:4 bound:3 three:11 accommodate:1 right:5 references:1 operator:5 p4:3 refined:2 reducing:1 rounds:2 nm3:4 rows:19 log:15 jin:1 comparing:3 artifacts:1 assumed:1 strictly:1 there:22 transform:1 fast:1 pages:5 start:3 accordingly:1 appl:1 pi:5 low:11 way:5 mappings:1 analyze:2 was:1 naturally:3 function:31 multiscale:1 belonging:1 complete:3 form:11 fp2:15 something:1 forming:1 regard:2 agrees:1 triangular:2 but:4 hj:4 pj:5 repeated:1 hierarchical:1 repeatedly:2 highest:1 true:5 harer:3 hd:37 observation:2 card:8 coset:1 compute:38 improved:9 intuitive:2 versions:1 whether:18 characteristic:2 up:16 us:1 until:4 paired:4 diagrams:2 sum:7 incidence:1 problem:13 similar:4 agree:2 simplicial:37 strongly:2 sort:3 qin:1 proved:4 convey:1 computing:34 defined:9 certain:6 abstract:1 describe:2 condition:1 chao:1 proven:4 general:4 aq:1 single:1 exist:2 vines:1 goodness:1 check:5 metric:2 constructed:1 polynomial:2 again:2 functions:8 compared:1 ideally:1 dotted:1 variety:1 switch:1 fixing:1 whereas:6 when:9 field:11 build:1 other:10 role:2 details:5 np:1 mathematics:1 really:2 acceptable:1 weak:1 nice:1 symposium:5 briefly:1 elements:13 conveys:1 dies:2 problems:7 shown:3 helpful:1 a1:12 a0:3 generated:1 important:6 bounded:2 suited:1 variable:1 range:1 structure:2 acknowledgment:1 lefschetz:1 algebraic:6 suffers:1 implies:2 longer:1 algorithm:94 assume:4 n4:4 holes:3 persistent:41 together:2 concatenating:1 ranks:3 lying:2 time:35 n0:1 n2:5 n3:9 resolution:1 original:8 once:7
|
0705.3062.txt |@word four:8 rˆ:1 fortiori:1 transversally:2 consists:10 whose:6 violate:4 γp:3 contained:8 unanswered:1 γk:2 γj:10 patched:1 under:5 criti:1 worth:2 sinking:8 emerged:7 oceans:2 connects:1 affect:1 cause:1 companies:1 solution:6 admissible:62 vector:15 red:2 indices:1 bordering:1 glued:5 enjoy:1 direct:3 across:3 second:6 even:13 established:2 consequent:1 above:19 new:7 net:4 σreg:1 ever:1 consisting:4 coefficient:5 discontinuity:1 notions:2 never:1 here:10 represented:1 path:33 logarithmic:2 obtained:6 suitably:3 study:7 completely:4 rakhmanov:1 suitable:18 changes:4 appropriately:1 discontinuous:1 explained:5 highly:1 total:33 linearly:2 derivatives:1 would:28 bundles:1 negative:8 call:2 therefore:5 type:3 until:4 zeroes:29 branchpoints:16 odinger:1 berlin:1 dirichlet:2 pinching:1 circumstances:1 springer:4 word:1 quartic:1 mo:1 work:5 mk:3 mj:7 mt:5 suggestive:1 itself:4 install:1 concepts:1 nlin:2 root:35 example:12 impose:1 indicated:5 give:4 preserving:4 generically:1 kπ:3 want:7 times:4 end:2 hoc:1 provide:1 verify:1 machine:1 how:7 nontrivial:2 ordinary:2 description:4 arcs:8 after:5 diagram:16 wrong:1 minimizes:1 constants:2 gluing:13 third:2 maintain:1 decreasing:1 rewiring:1 origin:1 deform:5 over:3 satisfied:1 london:1 satisfies:1 before:2 fix:1 better:1 fig:13 shear:2 maximal:7 eventually:1 them:10 affected:1 combination:1 saff:1 they:10 represents:2 asymptotique:2 arrow:1 each:52 side:6 mean:1 lifted:1 evolve:1 used:13 combining:1 extract:2 gon:3 jimbo:1 network:2 gradient:1 restricted:1 crucial:1 content:1 re:7 ajk:1 reader:15 newly:5 ri:1 rj:4 numerical:6 turning:4 linear:14 surveys:2 free:5 standard:3 subsequences:2 estimate:1 cornerstone:1 created:7 ds2:1 moment:6 canterbury:1 arrived:1 generalizations:3 already:7 animations:7 thereof:1 restrict:1 another:4 similarly:2 top:1 needed:2 airy:1 variational:4 collapse:2 distance:1 target:2 showed:1 divisible:1 programs:1 zero:43 matter:1 minus:1 uniformizing:2 respecting:1 modern:1 mind:1 concordia:1 seen:4 unaffected:1 seek:1 contents:1 forced:3 convenient:1 latter:2 responsible:1 oriented:1 forces:1 completed:1 though:1 denominator:1 extending:3 regular:6 phase:7 doi:1 observation:2 neighborhoods:2 partition:1 flow:4 vertices:1 points:29 principle:1 sum:5 came:1 random:3 gauge:1 solutions:1 analogue:1 touches:1 finally:5 implementation:2 situations:4 explain:3 topological:4 intrinsically:1 rich:1 maisonneuve:1 integrate:1 constant:10 metrically:1 ematiques:1 radically:1 continuity:6 do:7 reconstruction:2 ix6:1 de:6 dx:50 reconstruct:1 dt:1 du:2 covering:1 fields:1 animation:1 acknowledgments:1 traversed:2 analytical:1 riemannian:1 wt2:1 reference:4 depends:6 decided:1 result:18 w0:1 fail:2 techniques:3 said:3 away:7 symmetric:1 tantamount:1 simplest:1 approach:8 boutroux:152 terms:7 extend:4 rims:1 however:12 wt:6 4iπ:1 topology:10 essentially:3 bivalent:2 merging:3 genus:15 adapted:1 lenses:1 height:2 applicability:1 polynomial:31 diff:2 strong:3 basis:4 union:5 three:9 been:7 interest:2 ann:3 δtp:1 lift:12 kitaev:1 mcr:54 manifolds:2 originate:2 aim:1 near:11 suppose:9 applies:1 property:2 leaves:3 cylinder:1 played:1 ir:9 ii:4 characterize:1 exterior:1 ib:1 containing:5 descent:14 make:2 intersecting:1 complex:18 split:22 avoids:1 several:5 independent:3 traffics:7 trajectories:17 hand:3 potentials:4 normalization:1 cycle:5 mentioning:1 prescribed:3 immaterial:1 ocean:5 thm:7 spencer:1 left:6 just:2 rotated:1 scattering:2 yet:1 previous:3 visualization:1 coordinatized:1 belongs:7 requiring:1 coalescing:3 ops:4 modifications:1 possibly:5 descending:1 birth:2 unique:7 appearing:2 valency:7 unnecessary:1 harmonically:1 specific:4 remind:1 steps:2 arbitrary:6 evolutions:1 right:5 ole:1 deal:1 halfplane:1 paragraphs:2 embodied:1 bottom:1 opposite:5 comments:2 yields:1 pinched:3 minimization:6 pose:1 properties:5 chapter:1 stokes:16 numerator:1 routings:1 o:23 plus:2 slightly:1 considerations:3 raised:1 transcendents:3 statements:2 presence:1 umontreal:1 chooses:1 down:1 lies:2 refined:1 nodal:2 support:1 approximate:1 width:4 accordingly:1 way:18 resulted:1 was:22 m0:2 lowest:1 form:18 forming:1 differences:1 removes:1 encoded:2 removed:1 bypassing:1 compactification:2 inside:5 attached:2 discarding:1 multivaluedness:2 proved:4 ln:23 abstract:2 proven:2 convergent:1 dξ:2 proves:1 exist:1 commuting:1 check:3 constructed:4 marking:1 dotted:1 no:23 whereas:2 stake:1 when:6 vanishes:2 reality:2 flood:1 interested:1 investigations:1 jenkins:1 node:5 picture:4 models:3 uniformly:1 assume:2 pseudo:12 together:10 correspondingly:1 ramification:2 time:3 push:1 serious:2 chain:4 varying:3 focus:1 mild:1 computation:2 viceversa:8 certainly:3 inverse:2 depend:2 graph:6 charge:30 elliptic:3 must:19 orthogonal:27 keeping:1 choice:10 entries:1 exact:2 riemann:16 solves:1 level:11 irreducible:12 leave:3 involution:1 upper:3 occurrence:2 farkas:1 dealing:1 maximization:1 sign:9 preimages:1 spectral:1 adds:1 appear:2 current:8 annals:1 goes:3 jumps:1 satisfy:2 french:2 water:3 tangent:19 along:26 change:4 incoming:5 exemplified:1 institute:1 studied:2 pictorial:1 domains:1 studies:1 emerge:3 inducing:1 prefer:1 isomonodromic:5 marked:9 logically:1 traversing:3 additive:1 working:1 prove:9 positive:8 visit:1 scenarios:1 coalesce:1 explicitly:1 opposed:1 etude:2 scope:1 diagrams:2 incident:1 visual:1 appendix:1 virtue:1 cases:5 logarithm:1 valued:1 deformed:3 originally:1 modified:3 values:3 cal:1 believed:1 making:1 claim:5 degenerate:1 figure:11 performed:1 council:1 allowed:3 spanning:1 counting:2 occur:5 verlag:3 rays:1 requirements:6 s1:16 s0:4 write:2 degenerations:2 pure:2 ensure:1 parameter:5 map:19 may:27 max:1 r2d:3 respective:1 applications:3 mac:2 produce:2 data:8 compatibility:6 lifting:3 natural:2 coarse:1 sectors:30 ueno:1 explicit:5 sk:2 sj:7 si:2 branched:2 so:21 block:1 representation:2 sd:2 approx:2 webpage:1 indeed:17 pointed:2 soc:1 course:6 cuts:7 still:4 group:4 thank:1 interesting:2 coordinates:4 constitutes:1 main:11 formulæ:2 non:16 matches:1 introduce:2 scaling:3 half:4 qu:1 now:8 subordinated:1 deift:6 term:1 arrows:1 possibilities:3 bisect:1 entirely:2 spinor:1 domain:2 square:3 ex:1 entering:1 happen:2 eq:3 canada:2 emerges:1 ultimately:2 opened:1 space:28 seriously:2 rational:7 formula:3 squares:1 correct:1 bleher:3 shows:2 ibidem:1 earlier:1 theory:10 quite:3 complicated:2 constr:1 2rj:3 care:1 cycles:2 language:1 collapsing:2 transition:6 motion:4 place:1 view:3 think:3 first:7 xj:2 intuition:2 simplifies:1 fetched:1 surviving:1 moduli:5 xd:3 transform:1 simplified:1 specifically:1 carry:6 open:5 given:30 necessarily:10 sheet:3 workaround:1 brevity:1 types:1 convention:1 hyperelliptic:11 speaking:1 gives:3 duits:1 continuous:9 proving:3 γv:3 x8:1 parametrized:1 lengthier:1 x2:6 x3:1 x0:3 x6:5 than:15 coefficients:18 require:4 were:3 accessed:1 pre:9 generality:2 remained:1 topics:1 argument:8 generalization:1 say:1 any:32 numerics:1 wcr:5 converges:1 note:23 sciences:2 potential:43 take:1 interior:2 triangularity:2 coincide:1 modulus:4 channel:3 multiple:1 normal:1 enter:1 paid:1 falls:1 algebraic:11 sheets:1 multiply:4 analytically:1 considered:1 later:4 order:23 precise:6 show:15 recipe:1 spaces:1 homology:4 sinks:1 written:1 analytic:5 only:40 going:5 parabolic:1 get:1 cannot:4 theta:1 boundary:31 closure:3 settings:2 summary:3 relative:3 namely:20 anyways:1 y0:4 unaltered:1 surfaces:3 satisfying:2 inequalities:1 ways:4 review:1 definite:2 functionals:1 boundaries:7 between:7 geometric:3 αj:28 checks:1 vertical:3 analyzes:1 inclusions:1 comm:2 uniformized:1 come:2 mono:1 yt2:3 according:4 expression:2 nearby:3 affine:1 continuation:3 period:8 pole:3 moreover:5 considering:4 submanifold:1 skew:1 locally:7 kapaev:2 borders:1 exhaustion:3 direction:6 formed:2 tential:2 external:20 stems:2 irrelevant:3 former:1 those:7 case:37 disconnected:1 admissibility:22 engineering:1 invoking:2 x2d:1 situation:8 conformal:6 noncritical:13 metric:10 canceled:1 regularity:1 sudden:4 pruning:4 different:13 author:3 preparatory:1 same:46 shifts:1 pag:2 dilations:1 physical:1 events:1 visually:1 extended:3 drives:1 edges:3 changing:1 polygon:1 relies:3 charges:2 severe:1 without:12 solve:2 components:10 coordinate:7 model:1 grounds:1 dimension:7 manifold:11 being:4 tip:1 rest:4 touch:1 speed:1 seems:2 except:4 yt:3 setting:9 real:33 around:3 αcr:5 read:1 sums:1 traffic:17 using:12 ams:1 x4:3 reduces:1 serves:1 either:13 integrals:1 fully:1 multiplicative:1 stationary:1 reduced:1 moving:1 draw:1 erase:1 respect:5 images:1 intact:1 ascent:5 nonzero:8 provided:2 dimensions:1 critical:72 exit:5 venakides:1 refer:1 accessing:5 eiϕ:1 equivalent:3 notably:2 repeating:1 package:1 discussed:1 2k:5 op:1 lands:1 unbounded:1 image:2 bjk:1 references:2 determine:3 strip:9 elementary:2 conceptually:2 weight:1 log:1 assumed:1 strictly:3 there:40 start:2 low:1 exceptional:1 continents:3 verbatim:1 regard:2 jun:1 amongst:3 subdeterminant:1 embedded:3 multiplicity:14 practically:1 ωj:1 homotopy:2 aa:1 bertola:6 ad:1 ag:1 tectonic:1 certain:12 aj:3 cx2:1 strips:9 general:18 loops:2 examine:1 file:1 formulation:1 crease:1 again:4 deserve:1 graduate:1 field:12 remarks:1 mathematics:5 polar:1 briefly:2 symbol:1 includes:1 important:4 bounded:10 included:1 decorated:4 harnad:2 curve:101 mass:3 recherches:3 starting:4 original:1 represent:1 since:24 sci:2 consider:14 forbidden:2 splitting:12 polydisk:1 tours:1 montr:2 follow:6 research:1 scr:15 preserves:1 combinatorial:5 tt:15 tp:3 odyssey:1 program:3 preserved:4 nodes:12 norm:2 degeneration:2 belonging:1 fay:2 straightforward:3 far:3 translations:1 induce:1 decide:1 difference:3 condition:17 list:2 joined:3 t0:19 large:7 small:10 neighborhood:17 nearing:1 painlev:18 perspective:2 pass:1 further:2 canonical:1 residue:1 what:2 nonlinear:11 clock:14 section:16 version:2 sur:2 intersect:1 sup:2 method:13 outgoing:1 full:2 component:5 ranges:1 directions:18 ascending:1 equations:9 2kj:2 allows:6 experience:1 prior:2 action:3 uniquely:2 via:2 depart:1 family:8 marginal:1 texts:1 aimed:1 establish:1 proceed:2 distinct:4 contains:7 quasi:6 comparing:1 possible:5 more:23 flat:8 immersion:1 fokas:2 operators:1 unstable:1 particular:9 known:6 none:2 undirected:1 recall:9 equation:3 des:2 det:2 remain:2 paragraph:1 def:15 deg:5 omit:1 pushes:1 stated:1 numbers:1 sense:2 exclude:1 axis:6 information:2 needs:7 goal:1 rather:7 pp:1 vlc:1 simplicity:1 singularities:3 orbits:1 connectivity:52 plane:12 horizontal:1 short:3 lhs:2 sect:14 inline:1 wiegmann:1 fγ:3 developed:1 paper:15 through:5 signs:1 existence:6 its:19 roots:31 rapidly:1 pcr:7 matrices:6 solving:3 actually:4 absence:1 of1:1 systems:4 deformation:13 skipped:1 universality:1 rank:5 accumulate:1 yu:1 smoothness:3 2t:3 easily:4 γ2g:1 always:6 2d:22 2g:28 fullfilled:1 found:6 universit:1 referred:2 formulate:1 energy:1 hard:3 idea:6 toda:1 wires:1 connect:4 quantum:2 really:1 solved:2 surrounded:2 denotes:1 gekhtman:1 denoted:6 induced:3 issue:5 occurs:5 highway:18 reason:1 base:1 put:2 definition:31 pairs:2 recast:1 conformally:1 irrespectively:1 caption:1 american:1 exponentially:1 undergo:1 assign:1 reversing:1 encoding:1 number:25 done:2 construct:6 rerouted:1 lefschetz:1 y02:1 differ:1 introduction:5 leading:5 least:8 assumption:3 statement:5 holomorphic:5 relationship:1 immediate:3 part:15 jordan:2 authors:1 schr:1 kind:5 legs:1 determines:2 prevent:1 double:41 anticipate:1 biorthogonal:2 determined:5 motivation:1 defect:1 creases:1 randomly:1 substantial:1 cumbersome:1 lie:1 depending:4 self:4 biorthogonality:1 lifts:2 generalized:5 jacobian:2 play:2 towards:3 measures:3 reach:2 chart:1 most:6 nothing:1 stands:1 branching:5 totik:1 windows:1 kj:5 clear:2 broadened:1 coincides:1 physica:1 lying:1 joining:2 sector:14 particularly:1 phenomenon:9 minimizing:1 relation:4 carefully:1 find:8 parameters:2 merger:1 transcendental:3 integrable:1 circle:2 abelian:3 mclaughlin:2 trees:1 during:1 transversal:4 sects:1 arxiv:3 remove:1 common:2 severing:1 approaching:3 set:20 ser:1 achieved:1 see:11 arc:6 sec:1 sea:7 arg:4 contour:2 visualize:1 expert:1 pictures:2 various:1 consecutive:1 subscript:1 conditions:6 available:2 complementary:1 complement:2 vanishing:7 relying:1 both:6 last:3 desired:4 nserc:1 connection:1 les:2 symplectic:2 context:3 whole:4 arbitrarily:6 point:47 simple:84 asymptotically:1 corresponds:4 parametrization:1 semiclassical:4 skips:1 simply:26 linux:2 throughout:1 complication:1 described:10 inadmissible:3 discriminant:30 create:1 due:3 asymptotics:10 ph:1 pn:4 pm:1 surjective:2 precision:2 else:3 recalled:1 p0:5 look:1 exponential:1 evaluated:1 while:8 replaced:1 behavior:1 loop:7 welding:1 h3g:1 vol:3 decoration:1 obstacle:2 triple:2 τjk:3 currents:4 lengthy:1 ample:1 belong:8 elevated:2 rules:1 modification:1 higher:10 literature:1 paths:1 flooded:2 comprehensive:1 viewing:2 uses:1 purpose:1 recent:1 parametrix:4 underlies:1 analysis:9 edge:1 entry:6 parametric:1 distances:1 λx:1 intervals:1 continent:5 contradicting:1 cut:9 source:1 rˆole:1 theorem:20 relevance:2 remaining:1 loss:1 showing:5 matters:1 appendices:1 like:9 valent:3 pertinent:1 follows:10 continue:4 indication:1 translated:2 topologically:1 terminology:2 mathematical:2 some:46 back:1 bounce:1 examples:5 saddles:2 describing:1 erentielles:2 decision:1 integration:1 prop:6 providence:1 behave:1 connecting:10 eliminate:1 tends:3 minimal:2 bg:3 bn:1 bj:3 step:4 hilbert:8 anything:1 constraint:2 recalling:1 involving:1 2iπ:3 into:23 within:5 integral:9 isomorphic:3 encircling:5 locus:15 retaining:1 appropriate:4 statistics:1 sequence:3 question:2 long:5 forward:1 sections:2 toeplitz:1 relaxed:1 line:1 consist:3 up:6 us:4 planes:2 continuously:1 similar:8 called:7 associated:5 defined:21 cover:2 specified:2 globally:2 single:5 associates:1 dw:7 defines:4 differentiable:3 amounts:1 fixing:1 application:2 priori:1 department:1 deviate:1 cated:1 users:2 polynomials:39 meaning:1 allowing:1 sides:8 structure:20 independently:2 land:2 implies:5 algorithm:6 monic:2 required:1 notion:17 equivalently:4 basepoint:1 weights:3 requires:2 once:2 results:5 highways:11 proposition:5 go:2 issues:1 compact:3 uniqueness:10 contours:17 suite:1 include:2 indicating:1 presently:1 implicitly:2 wave:1 crosses:1 bounding:1 continued:1 arrange:2 tri:1 entire:1 positions:3 notes:2 deals:1 multiplicities:3 eynard:3 eigenvalues:1 severed:2 inspection:1 jump:1 imply:3 enclosed:1 concludes:1 odd:5 ode:5 3x:1 plays:1 invertible:1 morse:1 ycr:12 expressed:2 cell:24 experiment:1 poles:4 implementable:1 shoreline:9 lee:1 degree:29 exchange:5 commercial:1 following:9 objects:1 sink:1 octave:1 others:2 sing:1 z0:2 implicit:2 remark:7 technical:1 contradiction:1 leaving:2 resulting:6 implement:2 shaded:2 involves:5 addresses:1 scaled:1 addressed:2 decrease:1 apply:1 use:12 asymptotic:7 commun:1 remains:3 next:6 few:1 depicted:2 ecole:2 becomes:4 carrying:2 normalized:4 carried:3 account:2 isomorphism:10 hessian:1 integrating:1 prompts:1 infinitesimal:6 obvious:3 codimension:5 meet:1 drops:1 proof:25 tau:5 links:2 process:10 purposes:3 pieces:2 high:1 effectively:1 assumptions:1 holds:1 regions:3 need:14 forest:2 instead:2 singular:8 waters:3 philosophy:1 collection:2 kra:1 lines:4 correspond:7 redundant:2 integrability:1 realizes:1 asserts:2 lκ:2 discussion:7 kuijlaars:1 differentiability:1 produces:1 move:5 symbols:2 including:2 hypersurface:1 perfect:2 outer:1 chosen:13 kriecherbauer:2 uniformization:3 halfplanes:4 degrees:3 choose:7 derivative:3 defining:2 fourth:1 greater:3 numerically:4 outlined:1 mention:1 realize:1 ebec:1 university:2 identified:1 sufficiently:1 crossing:4 accompanied:2 isomonodromy:1 constraints:10 subset:2 related:1 inverted:1 society:1 sion:1 our:16 transitions:6 out:13 maximizes:2 matrix:12 res:5 vcr:2 lecture:2 suffices:2 reg:20 math:12 maintains:1 dx2:2 approaches:2 york:3 monographs:1 backwards:1 geometry:5 determining:1 could:2 keep:1 keen:2 length:2 marcell:1 removing:1 hence:31 retain:1 crm:1 isbn:1 owned:1 precisely:10 torelli:1 behaves:4 detailing:1 system:6 their:3 appl:1 rocha:1 decorations:6 final:5 interests:1 tuple:1 explanation:1 exactly:1 manipulation:1 branches:3 limiting:4 appealing:1 punctured:1 rate:1 w2:5 exhibit:2 symmetries:1 viewer:1 unchanged:1 curves:85 discussions:1 disjoint:2 clearly:3 viewed:2 complete:2 arithmetics:1 angle:2 min:1 studying:1 able:1 gravity:3 issuing:4 δnm:1 unless:1 allow:3 centre:1 who:1 connected:21 preparations:1 definitions:1 intrinsic:1 class:7 parametrize:1 laurent:4 consequences:1 breg:11 neighboring:2 request:1 counted:2 fact:9 emerging:4 text:4 supported:4 purely:5 miwa:1 trivial:3 principal:1 coloring:1 based:3 knowledge:2 should:13 lemma:10 ambiguity:2 inherited:1 local:16 achieve:1 equilibrium:4 ordre:2 handle:1 means:4 overall:1 ones:10 words:3 probably:2 qq:1 produced:1 evolution:1 determinants:2 strebel:4 coalescence:3 differential:25 qd:2 contain:4 unfeasible:1 fixed:2 transversality:5 preserve:4 requirement:1 modulo:1 exists:7 transcendent:3 differentials:7 wire:1 pattern:44 tend:1 state:1 identification:3 routing:5 closed:3 invariant:1 neither:1 meromorphic:4 opening:1 implementing:1 distribution:1 plugin:1 taking:2 equal:2 etc:1 otherwise:3 detailed:3 relevant:3 co:3 conclude:4 ca:1 harmonic:9 cd:2 decreases:1 cr:23 cp:1 ct:1 lect:1 piecewise:1 addition:3 trajectory:2 cauchy:3 define:9 determinant:1 describe:3 corresponding:14 sufficient:3 subspace:1 angles:2 c2:6 c1:5 c0:11 expounded:2 present:8 c4:2 splits:2 value:5 choices:1 will:55 monodromy:1 inherits:1 vd:4 almost:1 thus:17 surface:12 vp:1 vs:1 vt:15 dual:1 branchpoint:6 conical:3 compactified:1 moves:1 generic:6 cross:4 parts:4 finite:8 difficult:1 infinity:11 upon:1 v0:2 mech:1 off:2 reflection:1 nevertheless:1 variety:1 well:10 thought:1 patterns:4 sets:4 position:1 usual:3 invariantly:1 less:1 tcr:2 obtain:3 underlying:2 glue:6 transparent:1 add:2 extends:1 adm:8 match:3 criticality:2 crux:1 five:1 know:8 immediately:4 intersection:3 hermite:1 dimensional:1 necessary:4 helpful:1 δt:12 δq:5 δj:1 become:1 therein:1 parity:1 because:20 smoothly:5 platforms:1 choosing:2 kdv:1 merge:5 avoid:1 manipulations:1 does:9 assuming:1 intersections:3 analysed:1 expansion:5 although:7 imaginary:12 injective:2 simpler:1 about:2 actual:2 pt:17 extension:1 saddle:34 column:1 introduces:1 dependence:1 compatible:13 carries:2 introduced:3 software:1 own:2 previously:1 h1:2 functional:11 weighted:1 zoology:1 additional:3 appr:1 rcr:11 noticed:1 inasmuch:2 quadratic:4 naturally:3 function:29 eal:2 hp:1 triangular:3 but:45 repeated:1 construction:11 hn:2 count:2 made:1 whether:3 cells:21 smooth:19 flip:1 signed:4 placed:1 below:9 limit:8 steepest:18 problem:29 pii:4 intersects:4 pin:1 recognize:1 universal:1 measure:16 denote:11 periods:12 interchanged:1 relates:1 functions:14 courant:2 ingredients:2 reiθ:1 detail:2 arctan:1 other:32 details:3 branch:9 conclusion:3 hcr:1 stat:1 zhou:4 expressible:1 shown:7 variation:2 additionally:1 auxiliary:1 determination:1
|
0705.3063.txt |@word magnetically:2 migrated:1 abundances:1 lacc:2 consider:1 ceases:1 similarity:2 caused:1 magnetic:2 varying:1 oligarchic:1 results:14 hubeny:2 rapid:1 disc:9 latter:2 menou:6 edu:1 follow:2 disk:208 mp:1 issues:3 millisecond:10 zuckerman:2 feeding:1 depend:2 calculate:1 zone:5 ergs:23 contained:1 presents:1 finally:1 outwards:1 under:8 semenov:4 te:1 tc:12 profiles:12 sound:1 yr:9 adiabatic:1 point:4 garden:1 outside:2 very:18 rise:1 ρc:1 l5:1 suggests:1 stays:3 resonant:1 affect:2 difference:3 exact:1 expectations:1 3au:1 cool:3 entire:1 redistribute:1 exponential:1 level:1 positions:2 anisotropy:1 pasj:1 consequences:1 solution:1 occurs:3 large:10 settle:3 science:1 small:12 sano:2 midplane:9 its:8 inconsistent:1 smaller:7 10m:2 miller:2 consistent:12 mars:1 ritter:1 direct:1 rival:1 cfa:1 approximation:1 surrounding:5 likely:11 timescales:16 value:6 asteroids:1 currie:18 further:1 dynamics:2 marginal:1 quite:4 linear:1 even:6 lesser:1 what:2 redistributed:1 cover:1 section:11 axes:3 kalogera:2 near:3 layers:6 current:2 version:2 above:2 upset:1 shared:1 anonymous:1 method:2 thin:4 body:21 devoted:1 evolving:2 justification:1 systematic:1 prescriptions:1 extrasolar:1 respectively:4 inviscid:1 modify:2 dissipates:3 here:3 understanding:2 ranges:2 reported:1 solartype:1 objects:1 operating:1 condenses:1 separation:2 address:2 active:9 accretion:59 strong:2 te4:2 appears:4 change:1 ascribing:1 settling:1 drops:12 zones:1 study:2 larger:12 allows:1 typically:4 rocky:1 prior:1 amount:9 resulting:6 usually:1 california:1 extends:1 studies:1 king:3 emerge:2 ratios:1 scales:6 requiring:1 fig:17 kuiper:1 highly:11 apj:22 remnant:1 sizeable:1 puffed:1 randall:1 apply:1 opacities:7 total:4 tools:1 relating:1 cloud:1 eddington:1 collisions:1 derivatives:1 use:3 theor:1 takes:2 would:8 remains:1 subtract:1 predictions:1 favorably:1 next:4 scenarios:10 comparing:1 doubt:1 therefore:4 luminosity:2 butler:2 stage:1 type:2 until:4 toomre:1 more:21 flat:2 asteroid:1 ejected:1 composite:1 initial:45 starting:3 envelope:1 occurred:1 disruption:44 long:3 transient:1 everywhere:1 discrepancy:1 sharply:1 particular:2 known:15 rare:1 cases:2 2gm:1 producing:1 kenyon:4 must:7 ρa:2 evolves:6 account:5 crosses:1 ma:1 simulation:1 accurately:1 miyama:2 pollack:2 equation:2 work:3 modified:2 theories:3 left:2 remain:3 vs:1 values:15 budgets:2 evolved:2 following:2 making:3 hansen:16 deg:1 protoplanetary:16 giants:2 compare:2 tidally:1 figure:19 give:1 process:3 expanding:1 allowed:1 neglected:2 dependence:1 high:13 effectively:1 minimum:6 dropped:1 overproducing:1 past:1 orbits:2 times:3 hydrogen:1 occur:3 axis:2 terrestrial:2 silicon:1 rays:4 requirements:1 goal:2 rather:3 reynolds:1 spreading:2 get:1 gcm:4 species:1 regions:12 how:8 hot:3 edge:1 fourth:4 dotted:1 instead:2 allowable:1 absolute:2 stir:1 profile:6 description:2 minimums:1 may:21 overall:1 after:9 derived:1 confirmed:3 icar:2 produce:4 floor:1 water:3 fits:3 righthand:1 summarize:2 law:2 data:2 included:1 σ2a:1 short:2 effective:1 sets:1 yrs:1 parameter:1 cools:9 separations:1 correspond:1 parameterized:1 st:1 provide:1 si:1 maintain:1 negligible:1 deposit:5 fundamental:2 kicked:2 subsequently:2 operate:2 order:4 c2:1 hashimoto:4 ruled:1 instabilities:1 evolutionary:1 help:2 reservoir:1 indeed:1 over:14 competing:1 inconclusive:1 years:41 stability:1 course:1 thermal:1 paper:4 through:9 during:2 argued:1 existence:2 interestingly:1 still:8 mayor:2 before:1 aj:2 chemical:1 style:1 rafikov:3 outer:11 thank:1 fit:1 chosen:1 bringing:1 masses:2 baas:1 varies:2 exhibits:2 actually:2 forms:3 according:1 systems:2 mmsn:11 imbalance:2 might:1 alter:2 eventually:6 them:1 affected:1 greater:5 eccentricities:1 press:2 components:1 material:42 innermost:2 runs:4 finish:1 number:1 bulk:1 disrupted:1 hamilton:2 effects:1 they:3 now:8 references:1 discuss:3 densities:4 1au:4 represents:1 february:2 finite:2 2p:1 hereafter:1 oxygen:1 evaporation:2 fully:32 university:3 guard:1 crudely:1 sufficiently:2 magnitude:5 reasonable:1 radial:7 instability:6 difficult:2 processes:1 side:3 characterized:3 mean:2 heavy:1 hawley:2 impacts:1 4πr2:1 determine:2 weight:1 evolve:7 ed:1 energy:1 improved:1 idea:1 shara:1 inverted:2 investigated:3 depositing:1 variety:1 year:13 substantially:1 our:14 beyond:17 out:9 leave:1 shown:4 actively:1 shadowing:1 space:2 furthermore:3 since:8 content:1 requires:2 particles:1 fellowship:1 acting:1 rg:2 dominated:1 kelvin:1 issue:3 originally:1 shows:2 2007a:1 asp:6 theory:2 fluctuates:1 interactions:1 frank:2 situ:2 given:10 free:1 standard:4 alex:1 base:2 formation:61 term:3 put:1 simplifying:1 hand:1 beginning:1 nebulae:1 sao:1 enormous:1 rarity:1 retained:1 r1:2 lithwick:1 determining:2 transition:3 cosmic:3 accumulation:1 motion:1 turn:1 place:3 massive:3 signature:2 stone:3 global:1 onto:5 neglect:3 first:9 origin:2 major:1 already:1 surviving:1 debris:2 declines:2 overshoot:1 causing:1 primary:1 reaches:2 comprised:1 armitage:7 phil:1 adopted:1 shadowed:1 depleted:2 pulsar:34 thick:1 precisely:1 electronic:1 angular:29 size:2 cosφ:2 little:3 necessarily:1 temperature:40 start:3 introduction:1 leading:1 stewart:1 system:23 approximately:2 heights:1 their:3 cooling:10 perturbations:1 draft:2 too:5 calculations:4 dubrulle:2 advection:7 molecular:2 1m:3 cite:1 inner:4 precipitously:1 shell:1 nomoto:2 stars:2 schwarzschild:1 turbulent:3 explanation:1 acquire:1 zeroth:1 conspicuously:1 lists:1 lynden:2 resulted:2 assumption:6 optical:1 goldreich:3 somewhat:4 requisite:1 microphysics:1 conf:3 than:30 whereby:1 diffusion:1 relative:2 hundred:1 critically:2 wolszczan:11 favors:2 require:1 rate:18 limiting:1 future:4 were:5 providing:1 usefulness:1 pre:3 depletes:3 σr1:1 imposes:1 shrinks:1 faster:1 remained:1 explicit:1 ages:1 locations:4 alibert:2 500k:4 manuscript:1 seed:1 astrophysical:1 headings:1 need:1 seen:2 20m:1 albedo:1 ray:1 phinney:5 triggered:1 zero:1 efficient:2 thoroughly:1 lin:9 nucleosynthesis:2 able:1 maximum:1 mechanism:1 note:3 phillips:2 coplanar:1 potential:2 take:2 frail:2 interior:23 so:4 effectiveness:1 potassium:2 persistence:1 sn:7 begin:2 added:2 relatively:1 allow:7 normal:1 arguing:1 removes:2 who:1 viscosity:8 falls:2 most:14 importantly:1 accreting:2 phase:1 extremely:4 fallback:51 conspicuous:1 latex:1 redistribution:1 especially:2 κo:3 considered:1 clear:1 adopt:1 flow:2 neutral:1 km:1 typeset:1 traditional:2 2au:1 bromley:3 magnetorotational:1 chiang:2 velocity:6 constrain:2 typical:4 normally:1 fact:3 planetary:11 predoctoral:1 spaced:1 show:1 contributed:1 charles:1 fleming:3 discovered:1 radii:2 solutions:4 uranus:1 threshold:10 earth:7 longer:7 oligarchs:2 find:4 decade:1 principal:1 giant:10 ratio:1 parameters:8 merger:3 situations:1 explain:2 planetesimals:2 behind:1 elucidated:1 should:11 protostellar:1 only:6 unable:3 rich:4 factor:2 truncation:1 local:2 thresholds:1 columns:1 equilibrium:2 continuity:1 do:1 b1257:1 mixture:1 dominant:1 dh:1 wide:1 atypical:1 simplest:1 designated:1 predict:1 preferred:2 abundance:1 100th:1 ionized:3 nearly:1 words:1 despite:3 timing:3 circumstellar:3 he:1 averaged:4 dr:1 untreated:1 secondary:1 evolution:64 increasing:2 shu:4 sources:1 approach:1 arxiv:2 median:2 assuming:22 remove:2 summary:1 twice:1 investigate:4 assembly:2 architecture:2 characteristic:1 analytical:3 including:1 previous:1 hasten:1 valid:2 mergers:4 irradiation:7 cleanup:1 set:8 ser:3 exists:2 uranian:2 smooth:1 plausibly:3 κn:4 operates:1 detection:1 ara:2 see:10 individual:1 radius:2 result:9 discussions:1 close:2 150m:1 planetesimal:3 incorporating:3 subject:2 surfaces:1 fails:1 said:1 mechanically:1 grains:6 supported:1 pattern:2 nebula:6 tend:2 boundaries:3 favor:2 state:12 determined:2 envelopes:1 between:17 orbiting:5 probably:3 boundary:5 gridpoint:2 conditions:11 across:3 discovery:1 comparable:4 terms:2 reproduced:1 vertical:1 nature:6 initially:5 component:1 supernova:42 attention:1 points:1 however:10 rapidly:2 efficiency:3 harvard:2 hypothesis:1 extent:3 σa:6 boss:2 problem:1 originates:2 suggested:1 both:11 stages:3 prescription:4 sediments:1 limits:1 jovian:3 many:2 tmax:2 σg:15 heating:10 against:1 σd:22 somewhere:2 negative:1 layered:49 grain:3 brad:1 σr:1 argue:1 reside:1 strongly:3 presumably:1 relevant:2 groups:1 cm:5 bell:8 simple:2 ca:1 others:2 way:1 corresponds:1 height:1 improper:1 maintained:1 differ:1 decreases:1 modeling:1 cs:1 table:6 rep:1 cp:2 considers:1 belt:1 sari:1 described:2 second:3 basis:1 equations:2 radiative:3 due:5 been:2 quickly:3 increase:1 much:14 tions:1 interest:1 progenitor:2 expected:9 pile:1 ph:1 triggering:1 want:2 hernandez:2 obtained:1 contribute:1 corresponding:2 sawtooth:1 sufficient:3 formed:3 gas:68 σcp:1 σcs:1 6o:1 pringle:10 confinement:1 valageas:2 angles:1 recoil:1 last:1 evidence:1 those:2 case:16 main:1 uncertain:1 resides:1 supernovae:1 solid:38 expanded:2 microphysical:1 will:6 cast:1 while:9 substantial:2 shall:1 stopping:2 situation:3 balance:1 region:11 procedure:2 unlikely:13 key:1 layer:6 settles:2 attains:1 reached:3 fujimoto:3 underpredict:1 simulations:2 thus:15 non:1 surface:27 equal:2 ii:1 apjl:2 vr:4 examined:1 owing:6 exterior:14 pronounced:2 helium:2 conserve:1 orbital:6 binary:3 different:9 any:4 present:2 proto:1 perhaps:3 suggest:1 make:2 cross:1 same:6 orders:4 shorter:2 piles:1 compact:3 parts:1 episodically:1 underestimate:1 discussed:1 largest:1 figures:2 shakura:2 several:10 composition:8 neutron:2 higher:7 independent:2 used:4 peaks:2 eccentric:1 numerical:7 effect:2 companion:5 driven:1 domains:1 compared:2 decouple:1 dust:7 sunyaev:2 spreads:2 francisco:3 1000k:3 affecting:1 lower:2 tracking:3 off:1 center:3 scenario:14 largely:1 nevertheless:1 changes:1 modeled:2 well:6 roughly:4 analysis:1 obviously:1 solids:30 youdin:6 solve:1 log:3 inward:1 easily:1 san:3 grid:3 model:61 binaries:1 arising:1 self:2 bodies:16 ferguson:4 distances:4 just:2 less:9 semimajor:5 when:6 observed:6 hese:1 rest:1 reviewed:1 assigned:1 psr:17 stepinski:2 predicts:1 turbulence:7 momenta:4 speed:1 laminar:1 taken:1 migration:6 adjunct:1 death:1 preprint:1 timescale:17 density:41 regarded:1 drive:2 had:2 except:1 source:1 add:1 spread:6 combine:1 treatment:1 timestep:3 extensive:1 occurring:1 momentum:25 characteristically:1 tests:1 livio:6 around:15 depends:3 acute:1 survival:1 5au:1 possible:5 smithsonian:1 collisionally:1 early:3 test:2 five:1 marcy:2 birth:1 100m:1 confined:4 using:6 accepted:1 debatable:1 vertically:3 modifications:4 alexander:4 showing:1 like:2 cooler:2 follows:3 signal:1 disks:43 manifest:1 specific:1 flux:1 crude:1 unstable:1 either:5 alternatively:1 become:3 ejections:1 mhd:2 cooled:2 sign:1 optically:2 indications:1 because:10 old:1 methods:1 classical:1 sequence:1 plausible:1 some:13 sensitive:1 dead:9 certain:2 hartmann:2 growth:1 suppl:1 escape:3 proper:1 treatments:1 konacki:3 repeated:1 matching:1 transport:5 investigating:1 happens:1 sized:3 scale:2 cooper:1 affects:1 though:9 ice:4 track:2 does:2 lunar:2 saffer:1 prog:1 2007b:1 thorsett:2 inclination:1 core:1 swiftly:1 run:5 power:3 slight:1 uniformly:1 bn:2 each:4 notable:1 analysed:1 expansion:1 stellar:3 although:2 found:2 tidal:44 post:5 emulateapj:1 periodically:1 proceed:1 comparison:1 about:6 central:10 extension:1 constraint:1 column:13 capable:1 anomalous:1 factors:1 o:1 reduced:2 angeles:2 range:7 evident:1 positive:1 mixed:1 suggestions:2 constraints:3 slightly:9 kulkarni:2 peak:2 queloz:2 equally:2 cambridge:5 opacity:13 final:9 presence:3 umebayashi:1 into:15 within:12 interstellar:2 three:10 dissipation:4 appropriate:2 right:1 neglects:1 primarily:2 import:1 significantly:3 tauri:1 fast:7 span:1 additional:1 podsiadlowski:2 few:1 assumed:4 there:10 chevalier:3 condense:3 specifically:4 growing:1 los:2 trigger:2 low:7 fraction:9 astrophysics:2 deposited:12 viscous:51 was:7 deposits:1 assumes:1 third:1 function:5 considerably:1 head:1 medium:2 gaseous:7 complete:3 form:18 enough:10 forming:5 becoming:1 differences:2 jun:1 but:10 sophisticated:1 astro:1 anisotropic:1 heat:2 incorporation:1 solar:14 mnras:4 line:2 true:4 outcome:3 partially:3 wetherill:1 compute:2 gravitating:1 full:2 whether:4 pulsars:13 gravitational:5 ionization:4 up:10 prep:2 planet:30 below:13 frequency:4 limit:3 demonstrate:1 distribution:10 balbus:2 similar:9 calculated:1 regimes:4 detailed:3 later:2 constant:4 800k:3 metal:3 abstract:1 describe:6 condition:3 metals:5 general:4 examine:1 referee:1 au:93 transi:1 planets:49 relates:1 pileup:1 exist:4 formalism:1 spends:1 physical:1 again:4 extending:1 transitions:1 discriminate:1 courant:1 weakened:1 no:6 faces:1 fruitful:1 generally:2 detail:1 field:1 other:6 details:1 becomes:3 department:1 heats:3 really:1 hydrodynamical:1 explains:1 raine:2 mri:4 poor:2 picture:1 elements:3 star:9 calculating:1 temperatures:7 models:33 slowly:1 distance:5 scott:1 transported:3 important:5 allowing:1 throughout:3 astronomy:1 needed:2 structure:5 hayashi:2 condensation:5 regime:2 coupling:1 assume:8 physics:2 age:1 required:3 orbit:1 eddies:1 depth:2 mass:80 time:6 far:2 cores:1 gammie:6 expands:3 original:2 once:5
|
0705.3064.txt |@word limited:1 desirable:2 four:5 types:1 relationships:1 const:2 fayet:2 under:26 worth:3 rise:3 summarized:1 harmonicity:29 suffices:1 solution:9 vector:3 indices:14 enjoy:1 jhep:3 direct:5 second:17 antichiral:1 even:1 established:4 fubini:1 above:5 krivonos:17 new:5 construction:2 coefficient:1 simultaneously:4 intas:1 here:16 xfx:1 supermultiplets:6 4xy:2 isotriplet:1 obtained:8 study:6 λca:2 suitable:1 projection:1 classification:1 elaborated:1 explained:1 replace:2 b344:1 b342:1 total:6 univ:1 derivatives:6 would:6 negative:2 substitutions:1 noting:1 therefore:6 m2:4 type:18 until:2 tk:1 warm:1 hole:2 obeying:2 ma:1 unessential:4 work:4 theories:2 erm:4 root:13 example:3 b694:1 renormalization:1 give:4 preserving:5 involve:2 degenerate:1 end:1 provide:1 papadopoulos:3 feature:1 how:3 nontrivial:2 ens:1 answer:1 ordinary:2 description:6 earlier:1 confirmed:1 constants:2 third:1 b652:1 order:4 restriction:1 over:3 satisfies:4 before:5 fiz:1 exhibits:1 better:1 hidden:31 overcome:1 maximal:8 them:1 xg:1 break:2 they:12 θia:5 invariants:4 classified:3 reasonable:1 each:7 mean:1 used:3 xgx:4 laboratory:1 extract:1 ru:1 restricted:1 content:1 newly:1 linear:15 free:17 standard:1 admits:3 r4:1 chiral:4 starts:1 hull:1 already:1 rana:2 features:6 qkb:4 primary:1 clear:1 another:4 rewritten:1 eqs:9 twisted:1 needed:1 too:5 unbroken:1 target:15 integrability:5 project:1 solely:1 minus:1 delduc:2 respecting:1 lechtenfeld:7 seen:2 seem:1 seek:1 contents:1 strength:2 b245:1 latter:4 amusing:1 mˆ:1 shall:3 metrics:3 simplify:1 involving:1 germany:1 acknowledgements:1 yang:2 λli:1 reductions:1 implying:1 gauge:8 solutions:10 keywords:1 substituting:1 d4:1 just:16 cousins:2 coefficients:2 adequate:1 oct:1 do:7 dk:3 di:1 de:4 db:4 da:3 dt:15 bar:2 nicely:1 fields:33 coles:1 bak:1 transforms:2 δji:1 w2:2 techniques:1 brazil:1 shcherbakov:7 symmetric:5 approach:15 d56:1 preserve:1 triplet:1 terms:23 extend:2 confusion:1 however:6 essentially:3 giα:17 uni:1 argue:3 had:1 nˆ:7 non:13 polynomial:5 conference:1 three:3 been:3 much:3 interest:4 basic:5 expected:3 corollaries:4 θi:1 supersymmetric:36 θb:1 quantities:1 concerning:1 25a:1 berezin:1 θs:1 maximally:3 applied:2 remaining:2 employ:1 euclidean:1 aik:4 property:4 procedure:6 iv:1 ii:1 faux:1 ik:66 ij:3 conf:1 ia:50 ic:2 ib:2 id:1 containing:1 suggest:1 make:3 quant:1 split:1 several:3 isometries:4 independent:8 laboratoire:1 counterparts:1 hand:5 potentials:5 opportunity:1 pursued:1 possesses:2 left:1 proposed:1 mills:2 identify:4 thanks:1 yet:1 previous:14 adding:7 character:2 belongs:2 transformed:2 easy:8 vik:12 formal:1 gave:1 yukawa:1 iα:5 possible:2 λaa:4 descending:2 background:1 unique:4 apart:1 appearing:1 specific:1 arbitrary:4 rsymmetry:1 unexplored:3 right:1 czech:1 subclass:3 akulov:1 algorithmic:1 nersessian:2 super:2 properties:6 takes:2 θkb:4 o:7 ensure:1 d68:1 automatically:1 d62:1 down:2 dualities:4 raises:1 reducing:1 orazi:1 wab:11 way:4 was:22 lowest:6 form:24 converse:1 iǫab:1 true:2 coset:4 b1:4 proved:1 abstract:1 mirror:2 exist:4 commuting:3 check:14 physical:17 ni:1 no:6 whereas:1 generally:1 reality:1 setting:2 papers:1 models:31 describe:1 assume:3 sigma:18 together:3 time:6 restored:2 chain:9 focus:1 superfields:34 leads:1 depend:2 isosinglet:1 recurrence:2 finally:3 analogous:1 string:1 ηia:3 choice:5 exact:1 solves:1 level:6 did:2 turns:1 dia:3 dic:1 solved:1 guu:1 section:2 inscribed:1 prevent:1 sign:2 substitute:1 appear:1 current:1 shared:2 filled:1 satisfy:12 supporting:1 bi:4 groups:4 appears:1 institute:1 shift:1 studied:11 hospitality:2 useful:2 extra:4 δda:1 d73:2 d71:1 d74:1 prove:3 covariant:2 anticommutation:2 scope:1 theoretical:2 duality:14 appendix:2 cases:22 effort:1 fermionic:9 renders:1 following:17 making:1 quartets:1 2ly:1 2lx:6 rescaling:1 write:2 criterion:1 pure:1 parameter:3 mat:1 may:1 applications:1 produce:3 evgeny:1 compatibility:2 hannover:4 natural:2 explicit:8 yielding:2 su:29 aβ:1 so:116 sc:4 definitions:2 hyperk:1 ogievetsky:3 acts:3 lso:10 pointed:1 course:2 ursey:3 argued:1 still:1 derive:3 group:12 thank:1 vti:1 interesting:5 encompasses:1 coordinates:1 forms:1 ωka:1 main:2 correspondence:2 lbos:2 hypermultiplets:1 janeiro:1 ǫik:8 ǫij:1 bogoliubov:1 now:13 possess:3 term:20 equality:1 possibilities:1 quartet:2 spinor:6 square:1 eq:5 living:1 shown:4 factors:6 furthermore:1 lagrangian:38 imperative:1 correct:1 after:3 theory:4 variant:1 possibility:1 complicated:1 besides:2 derivation:1 b699:1 impose:1 motion:1 place:1 b454:1 first:16 symmetry:30 omitted:3 variables:1 requirement:2 transform:1 xy:5 simplified:4 directly:7 interchange:1 given:11 necessarily:3 checked:4 theoretische:1 1a:3 1b:3 seiberg:1 l4f:2 realization:8 rabinovici:1 proving:1 x2:9 x3:4 representing:1 than:1 intrinsically:1 ivanov:15 impractical:1 effective:2 gik:13 were:7 russia:1 decompose:2 generality:1 say:1 flatness:1 any:11 calogero:2 note:8 potential:18 take:1 coincide:2 cnrs:1 irreps:1 trace:2 algebraic:1 automorphism:2 selfduality:1 pair:1 interacting:1 considered:15 later:2 typically:1 laws:3 precise:3 drastically:1 show:5 leibniz:2 spaces:1 decompositions:1 fifth:1 analytic:1 only:14 explicitly:7 black:2 aα:2 sso:1 cannot:5 gen:13 closure:1 reveal:3 constituents:1 yield:2 summary:1 imposing:1 namely:4 eliminating:3 3c1:1 fails:1 satisfying:8 vertical:2 review:2 αa:7 vki:3 αb:1 between:4 affecting:1 geometric:2 parent:4 comp:1 jr:3 ji:1 jk:1 jd:1 jetp:1 come:1 many:3 laplace:10 dkd:1 dkb:3 expression:4 continuation:1 pot:6 superfield:75 associated:7 considering:2 unusual:1 suppressed:1 featuring:1 formed:1 zhetf:1 observe:1 external:1 those:2 case:46 compile:1 cast:2 cft1:1 conformal:20 strominger:1 coupled:1 metric:16 susy:1 superconformal:8 different:5 april:1 inquire:1 distributions:1 formulations:2 same:18 poincar:2 arguments:3 constructed:7 bring:1 superspaces:1 exhaust:1 extended:5 doublets:1 invariance:17 without:4 components:13 coordinate:1 model:28 dimension:36 gates:3 being:5 when:5 rest:1 cease:1 multiplet:73 seems:4 except:2 lett:10 versa:3 real:7 around:1 represents:1 read:2 multiplets:60 harmonic:12 using:15 2q:1 particle:1 identifying:2 either:3 integrals:1 wba:1 reduced:10 specifies:2 existing:1 galajinsky:2 deduce:1 provided:1 pashnev:2 dimensions:2 ωia:2 propagating:1 refer:1 scientific:1 equivalent:7 broken:2 ǫki:4 2m:1 discussed:3 mixes:1 practical:1 mutually:2 obeys:1 act:1 outlook:1 cambridge:2 ηa:6 inclusion:1 ηi:2 references:1 spinors:5 hep:41 log:6 b508:1 there:9 low:1 complete:3 elimination:1 shifman:1 detailed:1 ab:62 ai:3 certain:1 ak:4 aj:3 general:52 formulation:7 tedious:1 grassmann:7 extending:1 completeness:2 field:11 valid:1 briefly:1 ads2:1 symbol:1 includes:1 a1:19 a0:12 important:2 mass:2 cores:2 starting:2 strings:1 represent:1 alk:1 pointing:1 splitting:11 scalar:12 commute:4 follow:2 expressions:3 reasoning:1 preserves:1 remarkable:1 subjected:4 kβ:2 kα:2 program:1 preserved:3 th:41 enjoying:1 tb:1 ta:1 straightforward:3 far:2 translations:1 induce:1 corollary:4 witten:1 fall:1 difference:1 condition:32 treating:1 list:4 go:1 zero:1 further:4 galperin:3 what:1 nonlinear:13 sum:4 supermultiplet:2 version:5 method:2 contrast:1 compact:2 full:25 component:49 ansatz:2 directions:1 equations:22 arena:1 introductory:1 allows:1 amount:1 stelle:1 permutation:1 action:77 options:1 quotient:1 via:3 vij:2 requiring:4 viz:1 establish:3 conventional:2 proceed:1 12x2:1 comparing:1 nucl:11 more:11 flat:6 particular:9 known:2 producing:1 recall:2 equation:17 remain:1 nine:1 rodrigues:1 compare:1 numbers:1 sense:1 rather:6 breaking:1 algebra:3 derived:4 fundamental:1 help:2 hierarchy:3 paper:7 through:5 existence:2 y2:1 its:24 itp:2 solving:3 boson:1 actually:4 harmless:1 sigmamodel:1 systems:6 supersymmetry:60 yi:1 framework:3 easily:4 hereafter:1 always:4 presented:2 2x:6 2y:5 2f:1 2g:2 irreducible:5 2l:1 found:11 universit:1 2i:2 2k:1 energy:1 obtains:1 quantum:11 beyond:1 since:8 denotes:1 acting:5 issue:1 6x2:1 inert:1 difficulty:1 reason:1 put:1 dubna:1 generate:1 definition:4 retained:1 conformally:6 6xy:2 consequence:2 integrand:1 number:3 infinite:1 done:1 least:3 equating:2 story:1 introduction:1 construct:3 dfg:2 recovered:4 listed:1 option:3 part:10 authors:1 iliopoulos:1 kind:2 determined:2 treated:1 offshell:1 confirms:1 lie:1 generalizes:1 depending:1 volovich:1 self:4 internal:6 generalized:1 analogy:1 analogs:1 quote:2 effecting:1 most:13 mende:1 nothing:1 kb:8 ka:14 hypermultiplet:1 kk:1 kj:1 ki:5 coincides:1 kn:1 kl:1 qba:2 physics:3 sector:1 hyper:1 phenomenon:1 relation:8 superalgebra:3 find:11 parameters:5 generators:1 subsection:5 factor:20 integrable:2 moser:2 abelian:1 notation:1 actions:33 international:1 during:1 freedman:1 arxiv:1 common:2 doublet:11 set:8 sep:1 cbpf:1 see:13 close:2 analog:4 conditions:24 vanishing:1 marrani:2 alters:1 both:16 last:2 identifications:1 connection:1 whole:1 finds:4 point:3 simple:10 lagrangians:10 corresponds:10 dimensional:17 simply:1 throughout:1 pp:1 described:5 raise:1 due:2 laplacian:1 strategy:1 pb:1 reduction:10 treatment:1 generating:4 covariance:4 gap:1 gaa:13 pacs:1 while:15 triholomorphic:3 couplings:3 bos:7 vol:1 encountered:1 rio:1 reads:4 fermion:2 grant:5 belong:2 rules:5 qaa:23 qab:3 prerequisite:1 higher:5 literature:1 lxx:1 moment:1 b554:1 purpose:1 ǫli:1 analysis:5 convenient:2 comprise:1 questions:1 world:1 λj:1 alternative:7 λl:1 guarantees:1 transformation:9 like:8 ηai:1 follows:14 manifest:20 continue:1 yields:4 essential:2 mathematical:2 methods:1 2iη:1 some:21 back:1 b0:3 examples:7 b2:1 b3:1 δba:2 describing:4 though:4 integration:3 b605:2 minimal:1 bd:1 ba:10 performed:1 agreement:1 bk:1 step:2 br:6 rus:1 relating:2 gibbons:2 constraint:7 completing:1 extensions:1 into:11 within:3 integral:2 appropriate:11 prepotentials:1 institut:1 kuznetsova:1 question:2 u2:10 bosons:3 sections:2 authored:1 link:1 kahler:1 cik:1 characteristic:2 up:11 us:12 ur:1 uh:1 similar:4 called:3 constant:2 defined:16 tγ:1 single:5 formalism:3 analyticity:1 amounts:2 bracket:1 sides:3 structure:9 independently:1 implies:5 vice:3 equivalently:2 requires:4 gu:1 results:3 gy:2 gx:3 eds:1 intricate:1 λik:11 superspace:24 maryland:1 include:2 ǫab:8 g3:1 g2:1 g1:1 continues:1 ωso:1 mixing:1 continued:1 olaf:1 try:1 manifestly:7 smaller:2 l2f:2 imply:6 dynamics:1 odd:1 index:4 3y:1 giving:2 anton:1 analogously:1 expressed:2 3i:9 gµ:1 led:1 lee:1 respectively:2 explore:1 consideration:6 implicit:2 extreme:4 remark:1 involved:5 leaving:1 resulting:1 b612:1 involves:1 formulated:1 transformations:30 addressed:1 lima:1 use:7 next:1 few:5 depicted:3 themselves:2 stage:1 zupnik:1 becomes:1 iii:1 account:1 integrating:1 obvious:2 splittings:5 proof:2 φαi:1 links:1 8x2:1 calculation:1 purposes:1 holds:2 varies:1 singular:1 physik:1 realized:9 allow:1 lα:2 six:1 produces:2 produced:1 including:4 3xy:2 mentioned:3 kalitzin:1 la:1 lk:2 li:1 resorting:1 lu:1 choose:2 derivative:6 defining:7 lx:12 ly:13 dal:1 gauging:4 dai:1 dak:3 mention:1 ǫnk:2 ǫni:1 university:2 identified:2 l2:4 l3:4 l1:4 accompanied:1 constraints:26 homogeneous:4 related:12 constitute:1 britto:1 measure:2 supersymmetries:5 our:11 special:3 out:8 matrix:3 rev:7 reformulate:1 performs:1 ref:4 math:2 interactions:2 diagonal:1 approaches:1 interaction:1 geometry:5 could:5 feasible:1 counterpart:2 ahler:1 hence:7 teor:1 diaconescu:1 bellucci:12 precisely:2 michelson:1 salient:1 bears:2 system:3 relations:2 their:11 intermediate:1 fermions:7 perfectly:1 final:3 townsend:1 shell:43 sokatchev:3 completed:1 constituent:1 automorphic:14 qca:3 projections:5 exhibit:2 symmetries:7 need:1 constrained:2 clearly:4 studying:1 physique:1 mechanism:1 instance:2 heisenberg:1 lectures:1 eight:1 class:5 consequences:1 stronger:1 χd:1 χb:1 χa:5 mechanical:1 λiα:3 sd:3 χk:2 fact:7 dbn:1 supported:2 purely:2 trivial:9 agrees:1 based:1 7x2:1 should:15 candidates:2 indeed:2 means:2 ones:9 words:1 smilga:3 grav:4 view:2 moduli:1 modulo:4 exists:7 closes:1 lyon:1 λki:2 luu:2 pattern:1 written:4 identification:3 invariant:43 reproduced:3 entin:1 restrictions:2 λji:1 taking:1 equal:1 etc:1 admit:3 comment:1 aa:82 ci:1 relevant:14 co:1 conclude:1 invariances:1 cb:3 ca:4 cf:1 cd:2 respect:15 singlets:1 geometries:3 addition:2 define:1 arises:1 corresponding:37 commutes:3 sufficient:1 ensuring:1 c3:3 c2:3 c1:5 c0:5 present:9 multi:1 appearance:2 value:1 choices:1 will:5 b639:1 b637:1 b633:1 refs:3 thus:13 surprisingly:1 dual:1 φik:2 rfbr:2 generic:5 divergences:1 parts:1 pauli:3 φi:2 φk:2 difficult:1 upon:2 functions:3 parametrized:2 v2:1 distinction:1 sisters:1 landau:1 identity:1 off:38 fully:2 nevertheless:3 well:7 sets:3 restore:2 less:1 obtain:3 preprint:1 supply:2 reasons:1 add:1 match:1 φiα:33 checking:1 press:1 immediately:2 theor:1 necessary:2 helpful:2 xsu:1 exploiting:1 become:1 works:2 therein:1 exhaustively:1 because:3 classical:1 ǫba:3 choosing:1 proper:1 toppan:3 does:9 assuming:1 chains:1 demonstrated:2 obey:1 expansion:1 although:2 simpler:2 carried:1 superconformally:5 freedom:5 dependence:3 own:1 letters:1 previously:4 bosonic:36 additional:1 noticed:1 restricts:1 jinr:2 naturally:2 function:15 but:8 hierarchical:7 rojas:1 made:1 compute:1 instructive:5 whether:3 wish:1 below:3 limit:1 demonstrate:2 problem:1 piece:1 λkα:1 display:2 mechanics:37 bearing:1 prepotential:1 universal:4 contribute:4 denote:2 pis:1 identities:2 mutual:1 compared:1 detail:2 arctan:3 25b:1 other:16 b643:1 variation:3 auxiliary:17 rule:2 4i:4
|
0705.3065.txt |@word consider:3 forbidden:1 results:1 four:1 go:1 row:2 academiae:1 inverse:1 violate:1 tr:18 recurrence:5 tm:2 tk:1 th:1 under:1 eβ:1 conjecture:3 advantage:1 returning:1 very:1 corollary:3 every:2 difference:1 condition:1 forth:1 t4:3 t2:4 solution:1 t0:1 occurs:1 admissible:1 vector:1 anal:1 noted:1 deutsch:2 pnα:2 boca:1 second:1 recursions:2 theory:1 what:1 t2m:1 appear:3 trivial:1 section:3 agrees:2 above:12 new:1 ever:1 equivalent:1 raton:1 coefficient:6 degree:4 equals:9 here:1 others:1 path:17 along:2 respect:1 z2:1 calculate:1 obtained:2 nth:1 shift:1 usually:1 proof:10 uniquely:1 convolution:1 limr:2 summation:2 apply:1 counts:4 unit:1 tn:45 use:1 takes:1 would:3 positive:2 contains:1 next:1 noting:1 call:1 therefore:3 taken:1 means:4 type:2 more:4 zeroes:1 becomes:3 operators:4 ti:2 known:1 foundations:1 cases:1 must:5 avoiding:16 equation:1 modified:1 values:9 following:7 example:1 deg:3 4t3:4 states:1 numbers:8 counting:3 occur:4 axis:5 respective:1 end:5 s0:3 att:1 write:2 instead:1 staying:4 staircase:1 algebra:1 may:1 max:1 after:1 horizontal:1 parallel:1 natural:1 third:1 sk:1 si:3 ones:1 so:4 sn:39 allow:1 sl:6 order:3 holds:6 over:1 course:2 pascal:2 paper:1 enumeration:1 counterclockwise:1 mentioned:1 satisfies:1 its:1 roots:2 symmetric:1 solving:1 degrees:2 derivative:2 was:1 introduce:1 they:3 acta:1 now:4 discuss:1 2t:3 easily:2 always:1 university:1 quadrant:1 each:1 2m:13 2n:16 difficult:1 2i:2 preceded:1 en:2 significantly:1 series:6 our:3 special:2 out:1 shown:4 discrete:4 restricted:3 furthermore:1 since:1 research:1 combinatorial:1 denoted:2 formula:1 induction:6 ri:9 math:4 shows:10 linear:2 motzkin:3 diagonal:5 quite:1 difficulty:1 reason:1 e1:1 compositions:4 definition:4 backwards:1 starts:1 florida:1 times:3 turn:2 length:1 ltd:1 hence:10 first:5 there:1 symmetry:2 number:26 enumerate:1 reached:1 precisely:1 given:2 necessarily:1 checked:1 indicate:1 introduction:1 top:1 their:1 too:1 recovered:1 gives:4 shifted:2 reversed:1 exactly:3 part:1 dddd:1 authors:1 x2:1 x3:1 x6:1 coefficients:18 gotten:1 imply:1 determined:1 were:2 rewrite:1 already:1 say:1 seen:1 saw:1 tells:1 paths:37 lim:1 umbral:1 note:7 take:2 calculus:4 formulas:2 any:1 reach:1 most:1 bsn:1 connected:1 enumerating:1 considered:1 tβ:1 points:2 slope:1 show:5 relation:1 rtr:2 d2:1 find:2 subtracting:1 q0:1 based:1 lemma:7 only:8 subsection:1 do:1 triangle:1 get:5 de:1 cannot:1 combinations:1 dr:9 arxiv:1 expansions:1 compositional:1 investigate:1 contain:1 dyck:31 qm:1 qn:12 set:2 edition:1 see:5 sheffer:13 vertical:1 pattern:10 boundaries:1 written:2 between:2 consecutive:5 boundary:2 avoidance:1 conditions:2 ends:1 terms:4 extend:1 adding:1 however:1 t7:1 come:1 both:4 parentheses:1 equal:1 against:1 etc:1 com:1 otherwise:1 ck:2 co:1 cn:5 point:3 sullivan:1 consideration:1 polynomial:14 table:15 throughout:1 bbn:2 transformations:1 basis:2 addition:1 due:1 been:1 ai:7 basic:8 pn:32 define:4 generating:8 commutes:1 those:2 case:8 p0:5 p7:2 value:1 will:5 suppose:4 viii:1 wilf:2 property:3 thus:3 containing:3 recursion:13 same:5 clearly:1 parts:2 njas:1 finite:3 interpolation:2 extended:3 http:1 effect:1 eulerian:3 identity:6 recent:1 lower:1 weakly:6 well:1 patterns:4 without:2 position:1 left:1 rotated:1 obtain:3 immediately:1 previous:2 tables:2 seems:1 except:1 lattice:2 add:1 setting:2 easy:1 theorem:5 occurring:1 remaining:1 euler:13 real:2 represents:1 read:1 catalan:2 know:1 using:5 mod:1 x4:1 like:1 lost:1 follows:8 reduces:2 odlyzko:1 steps:19 either:1 arbitrary:1 setups:1 www:1 because:8 sequence:26 sequences:6 some:4 back:1 b1:2 b2:3 flush:1 ballot:7 happens:1 avoid:1 stops:1 does:1 bold:1 power:6 reaching:5 bn:35 bi:8 expansion:4 rota:2 step:1 binomial:12 shifting:1 found:1 properties:2 proceed:2 integers:3 about:2 extension:5 column:5 discussed:1 univers:1 into:4 integral:1 bound:1 down:5 references:1 determine:1 strip:4 operator:11 additional:1 u4:3 initial:6 transform:1 nova:1 peters:1 appl:1 exceptional:1 sections:1 function:7 subdiagonal:1 form:1 differences:2 removes:1 but:1 uuuu:1 atlantic:1 delta:6 line:2 true:1 heinrich:1 he:1 applying:1 uu:1 inside:1 up:5 us:2 ur:3 below:5 limit:2 ud:1 problem:2 similar:3 called:2 constant:1 choosing:2 defined:2 proven:1 denote:1 qα:2 again:2 functions:1 fixing:1 when:1 other:2 papers:1 department:1 mathematics:2 nice:1 shaun:1 problems:1 polynomials:6 a1:2 generated:1 a2:2 variable:1 formal:1 needed:1 structure:1 implies:3 assume:2 space:1 together:2 strings:3 4m:1 time:1 n0:2 n1:1 starting:2 original:2
|
0705.3066.txt |@word represent:1 abundances:5 surrounded:1 partial:1 remarkable:1 caused:1 luminosities:1 existing:1 leads:1 winds:4 bomb:2 disk:6 presents:1 finally:1 does:3 present:1 suffered:2 hints:2 indicating:2 lack:1 far:2 rise:1 plausibility:1 nichols:2 fall:1 enjoyable:1 did:3 die:1 radii:1 large:1 red:4 science:1 small:1 outer:1 supergiant:10 yt:1 consistent:4 progenitors:4 surrounding:3 likely:2 enhancement:1 go:1 pass:1 further:2 even:4 established:1 what:2 giving:1 contracted:1 while:1 consequent:1 current:2 bipolar:19 twins:1 above:5 collins:2 learned:1 acknowledgments:1 explosion:4 irac:1 1987a:4 here:2 understanding:1 compressed:1 berkeley:1 ratio:1 invented:1 appears:1 didn:1 cno:1 study:1 larger:1 commonly:1 prior:1 products:2 smoke:1 zickgraf:2 formation:7 mz:1 studies:1 plume:1 numerical:1 followed:1 hst:1 requiring:1 imagine:1 logical:1 apj:10 glance:1 swallowed:1 cloud:4 eddington:3 figure:3 would:6 breakup:1 faint:1 humphreys:2 throw:1 few:5 live:1 therefore:1 panel:2 type:1 more:8 separated:1 ejected:5 occurred:1 apjs:1 particular:1 known:9 central:6 hold:1 producing:1 analogous:4 must:2 abundance:3 none:1 rotational:2 car:1 challenge:2 work:3 centrifugal:1 obvious:1 thin:1 already:1 making:1 my:1 example:2 history:1 nearest:1 references:1 synchronized:3 expanding:1 now:1 high:3 indicates:1 darkening:1 keep:1 hydrogen:1 occur:2 axis:3 needs:1 productive:1 end:2 rather:2 tilt:1 chemical:4 how:8 hot:2 oblate:1 opposite:1 instead:3 sin:1 product:2 sne:1 galactic:5 spitzer:1 may:9 after:5 produce:2 insufficient:1 outbursts:1 aj:3 short:1 natural:1 waist:1 light:1 spectra:1 lines:1 sk:8 bipolarity:1 spectral:1 so:8 sn:9 allow:1 order:3 wind:6 bsgs:1 unsolved:1 evolutionary:4 insight:1 soon:1 ejecta:4 years:5 course:1 episodes:2 smartt:3 through:2 elevated:1 nitrogen:1 argued:1 still:3 its:16 galaxy:4 before:2 massey:2 rapidly:2 monitor:1 susceptible:1 highlights:1 masses:4 circumstellar:1 late:2 suspicion:1 asking:1 latitude:1 might:6 shear:2 happened:1 wouldn:1 them:2 surrounds:1 material:3 collide:1 reflected:1 effects:2 they:5 half:1 critically:1 rotation:5 yr:1 hall:1 easily:1 stahl:1 university:1 enrichment:2 identified:1 explode:2 eruptive:1 morris:2 l5:1 instability:2 entirely:1 l8:1 mean:1 financial:1 idea:2 astrophysical:2 expect:3 measure:1 our:5 happen:2 event:5 out:1 shown:2 ejecting:1 space:1 gradient:1 furthermore:1 since:3 increase:1 walborn:2 exploding:1 reader:1 appenzeller:1 smc:1 outburst:2 shows:4 earlier:2 impressed:1 frank:3 little:1 quite:1 california:1 enhance:1 rises:1 afterward:1 r4:3 interaction:1 geometry:2 could:6 transition:10 noted:2 plane:1 massive:6 bjorkman:3 hence:1 think:2 speeds:1 first:2 major:1 there:13 daunting:1 vink:4 reaches:1 another:1 ring:24 angular:4 rayet:2 necessarily:2 nebulae:6 indicate:1 introduction:1 leading:1 moderately:1 least:2 iab:1 their:6 nebular:1 ballistic:1 observations:2 hundred:1 structures:1 final:1 townsend:2 low:5 testing:1 way:2 latitudes:2 explanation:5 rsg:18 sn1987a:23 too:2 eliminated:1 than:4 intrinsically:1 dynamical:1 nathan:1 scenario:7 showed:1 ara:1 require:1 l48:2 zeipel:2 matter:1 contrary:1 supposed:2 were:1 gives:2 cranmer:1 pre:3 troublesome:1 sees:1 lbv:30 mind:1 spectrum:3 substantial:1 unlikely:1 need:5 seen:2 seem:1 apparently:1 clearly:1 ringed:3 angle:1 studying:1 able:2 gravity:1 mechanism:3 rsgs:3 potential:2 nota:2 analog:1 forces:1 l118:1 divert:1 l115:1 analogs:6 blue:6 experienced:2 relatively:1 normal:2 track:1 object:1 eruption:1 most:2 bolometric:1 plus:1 successive:1 phase:8 competing:1 bsg:10 extremely:5 equatorial:13 eject:1 clear:1 phil:1 implications:1 proceedings:3 talk:1 analogy:1 velocity:4 lbvs:11 normally:3 fact:2 repeatedly:1 planetary:1 atmosphere:1 currently:2 particularly:1 phenomenon:1 show:2 text:1 rotating:8 attempts:1 grebel:1 keywords:1 earth:1 longer:1 find:1 make:2 slow:2 based:2 merger:12 explain:2 state:2 should:3 only:2 simultaneously:1 eruptions:4 factor:1 poles:1 thousands:1 achieve:1 do:5 balick:2 slows:1 get:1 explosions:1 de:2 stop:1 famous:1 ones:1 nearly:1 despite:1 supergiants:3 during:9 dr:1 shaping:1 reveal:1 evolution:5 exhibiting:1 l45:2 luminosity:13 arxiv:1 twice:2 hydrodynamic:2 worrying:1 shedding:1 swept:1 hα:1 observed:3 mentioned:1 see:10 radius:3 result:1 enhanced:2 close:4 luminous:2 best:3 seems:2 closer:1 phases:1 interacting:4 mine:1 nebula:35 rings:12 enough:1 various:1 envelopes:1 between:2 probably:4 boundary:1 approach:1 kotak:2 variability:2 comparable:3 never:1 recently:1 nature:1 originated:1 supernova:5 however:6 blame:1 rapid:7 hypothesis:2 wr:2 key:1 clues:3 group:2 gayley:1 come:2 thank:1 both:1 essentially:1 toward:3 density:3 conference:2 admit:1 interesting:1 contribution:2 argue:1 ll:3 trajectories:1 presumably:1 unclear:1 timescale:1 point:1 reasons:1 had:3 ca:1 hollow:1 pole:1 m17:1 considering:1 forms:1 carina:3 addition:3 mounting:1 create:1 outstanding:1 three:5 been:12 yam:2 pc:2 much:3 combined:1 progenitor:6 ph:4 meeting:1 fig:2 referee:1 corresponding:1 mushroom:3 kovacs:1 thousand:2 formed:5 gas:1 argument:1 vaguely:1 gal:2 walawender:1 astron:1 those:2 case:3 supernovae:2 pacs:1 frozen:1 ejection:9 empirical:2 profiles:1 will:11 near:8 suppose:1 brandner:2 behavior:1 rotator:4 situation:2 spotlight:1 loop:1 manner:1 studied:1 orientation:1 equator:5 von:2 thus:3 non:1 surface:2 ii:1 itself:2 vortical:2 triple:5 ambient:1 ready:1 binary:7 perhaps:1 koter:2 same:10 any:1 unfortunate:1 several:1 events:1 prerequisite:1 difficult:2 status:1 fairly:1 literature:1 columbia:1 closest:2 milky:1 effect:1 companion:2 moving:1 opportunity:1 cartoon:1 single:4 lower:5 narrow:1 off:1 episodic:2 older:1 makes:1 obstacles:3 well:5 roughly:2 analysis:1 obviously:1 thought:2 very:4 echoes:1 model:6 binaries:1 spherical:1 just:2 mid:2 shape:2 relevant:1 distant:2 atomic:1 questions:1 campbell:1 love:1 speed:5 yet:2 loading:1 candidate:3 hint:1 similarities:1 smith:23 discuss:2 simple:1 add:1 lett:1 easy:1 relevance:1 remaining:1 momentum:1 take:1 livio:1 around:21 rotators:1 comparison:1 rules:1 possible:2 possibly:1 increases:1 know:4 denser:1 press:3 kaufer:1 bit:2 loss:3 sugerman:2 rotate:1 like:13 shaped:1 admittedly:1 2007b:2 either:1 2007a:5 become:2 reduced:1 shed:1 because:8 often:1 people:1 some:4 baked:1 ejections:1 sher:5 b1:3 b3:1 images:1 organizing:1 happens:1 lead:3 though:3 extensively:1 critical:4 indication:1 moderate:2 chentsov:2 pinched:1 core:2 defend:1 notable:1 expansion:4 stem:2 stellar:1 step:2 although:5 tidal:1 post:9 properties:1 stage:1 geff:1 faith:1 about:3 rare:1 puts:1 discussed:1 o:1 simulation:1 range:1 wolf:3 connected:1 organizers:1 own:1 chu:1 burning:2 previously:1 image:2 within:1 exceed:1 pair:3 appropriate:1 rising:2 determine:1 1990s:1 bally:1 uncertainties:1 podsiadlowski:5 assumed:2 support:1 initial:10 question:2 fast:1 cassinelli:2 inner:1 stars:15 was:6 naturally:1 form:4 offer:1 forming:1 becoming:1 but:5 astro:4 hemisphere:1 lowered:1 gain:1 solar:2 mnras:2 magellanic:1 line:1 he:1 made:1 consist:1 whether:1 up:2 us:1 below:3 limit:4 prematurely:1 problem:1 hydro:1 similar:4 examples:2 detailed:3 sometimes:1 hotter:1 defined:1 abstract:1 escape:1 influence:1 owocki:5 evidence:4 duration:1 lobes:3 proves:1 physical:1 weis:1 no:4 generally:1 detail:1 tis:1 application:1 other:3 details:1 department:1 really:1 sufficient:2 poor:1 polar:7 star:26 models:1 persistent:1 problems:1 important:1 variable:2 astronomy:1 needed:1 structure:3 faster:3 requires:4 age:1 required:3 agb:1 crotts:1 mass:13 time:3 resolution:1 precedent:1
|
0705.3067.txt |@word decelerate:1 velocities:1 remnants:1 rayleigh:2 transmitting:1 caused:1 over:1 obtain:1 produce:2 years:1 shape:1 through:1 hotspot:1 broader:1 zhekov:1 campbell:1 spatially:3 data:1 find:1 ground:1 now:1 based:1 apex:1 explain:2 unshocked:2 smith:2 brighten:1 circumstellar:5 apr:1 comparison:1 inner:2 struck:1 main:1 might:1 into:2 boulder:1 projected:1 hit:1 around:3 invoke:1 means:1 far:2 weakness:1 rise:1 fig:7 wave:4 fingers:1 should:1 they:1 denser:1 front:1 penetrate:2 blast:4 hall:1 apj:6 sugerman:1 like:2 same:1 cooler:2 cause:1 university:2 arxiv:1 highresolution:1 shapes:1 michael:1 l44:1 instabilities:2 crossing:1 higher:2 traces:3 side:3 sketch:1 shock:8 slower:3 picture:1 series:1 hα:14 stronger:1 difference:1 relative:1 keywords:1 see:1 extended:1 expect:1 enhanced:3 images:2 observed:2 march:1 really:1 blue:2 shown:2 dominates:1 dense:1 richard:1 morse:1 giving:1 broad:5 rings:2 near:3 yet:1 future:1 finger:1 emitted:1 between:2 probably:1 geometric:1 encounters:1 red:1 shocks:6 being:1 variability:1 pun:1 1987a:2 explosion:1 protruding:1 respectively:1 supernova:1 mccray:2 component:1 expansion:1 atoms:1 ionization:4 its:1 gladders:1 slow:1 california:1 here:1 berkeley:1 principle:1 jila:1 obtained:2 both:3 about:1 interaction:2 reverse:1 geometry:4 obstacle:2 preferentially:1 concentrate:1 figures:1 massive:1 l142:1 consequence:1 narrow:3 head:2 speeds:2 first:2 among:1 would:2 co:1 colorado:1 extra:3 simple:1 material:2 ca:1 clues:1 scaled:1 weaker:1 references:1 ucb:1 directly:1 wrap:1 reached:2 ring:17 total:1 1a:1 long:1 likely:1 tracings:1 introduction:1 twenty:1 three:1 been:2 dispersion:1 few:1 1c:1 much:1 kinematics:1 low:1 passed:1 expanding:1 strike:1 protrusions:2 ph:1 tracers:1 observations:1 hotspots:8 mike:1 north:5 illuminated:1 equatorial:2 gas:12 emission:18 but:4 transverse:1 sn1987a:3 forward:1 observe:1 understand:1 l139:1 line:7 true:1 than:3 present:3 he:16 ii:6 heng:1 observatory:2 nathan:1 overtaken:1 supernovae:1 pacs:1 uv:1 show:1 up:1 profiles:7 dramatically:1 will:4 column:3 while:1 itself:1 photoionized:1 time:1 spectroscopy:2 were:1 identical:1 more:2 similar:1 mz:1 resolved:2 compare:1 taylor:2 hotter:2 spectrograph:2 figure:3 blueshifted:2 lines:2 abstract:1 spectrum:2 high:4 slit:2 gemini:2 arise:1 seen:2 sees:1 magellan:2 well:1 lyα:1 different:3 l53:1 because:1 l56:1 provide:1 sonneborn:1 depicted:1 when:1 shocked:3 oriented:1 without:1 best:1 department:1 plus:1 strong:1 important:1 sn:2 profile:2 echelle:2 oblique:3 used:2 components:2 phoenix:1 may:2 after:1 1b:1 less:1 levels:1 moving:1 l41:1 end:1 astronomy:1 extremely:1 sides:7 astro:1 lower:2 faster:1 scenario:1 object:1 spectra:4 resolving:1 km:3 crotts:1 optical:1 south:7 redshifted:3 pattern:1 heathcote:1 velocity:1 resolution:3
|
0705.3069.txt |@word abundances:2 since:1 remarkable:1 caused:1 lack:1 existing:1 winds:4 disk:3 does:2 suffered:1 hints:1 indicating:1 very:2 rise:1 eruptive:1 red:2 small:1 consistent:1 progenitors:2 surrounding:2 enhancement:1 further:1 even:2 what:1 appear:1 contracted:1 consequent:1 current:1 bipolar:10 twins:1 above:1 collins:2 explosion:2 irac:1 1987a:2 here:2 asymmetry:1 berkeley:1 invented:1 appears:1 larger:1 commonly:1 prior:1 milky:1 followed:1 hst:1 requiring:1 apj:3 swallowed:1 cloud:1 eddington:1 would:4 breakup:1 few:1 therefore:1 type:1 more:4 ejected:3 occurred:1 particular:1 known:5 central:2 analogous:2 must:2 abundance:2 none:1 rotational:1 bally:1 supergiant:6 work:1 history:1 synchronized:1 high:2 occur:1 axis:1 provide:1 chemical:1 far:1 hot:1 low:1 instead:1 sne:1 galactic:2 spitzer:1 may:4 after:2 outbursts:1 short:1 natural:1 waist:1 light:1 spectra:1 sk:3 bipolarity:1 so:3 sn:4 sc:1 order:1 wind:2 bsgs:1 evolutionary:3 insight:1 ejecta:1 episodes:1 smartt:2 through:1 same:7 nitrogen:1 signs:1 argued:1 its:7 galaxy:4 before:1 rapidly:1 how:1 interesting:1 circumstellar:3 late:1 fig:4 might:1 wouldn:1 presupernova:1 material:3 effects:1 they:1 rotation:1 yr:1 discuss:1 easily:1 stahl:1 identified:1 did:2 instability:1 expect:1 measure:1 our:4 event:3 surrounded:1 walborn:2 grebel:1 wolf:1 appenzeller:1 outburst:1 shows:2 interactions:1 frank:1 formation:3 r4:3 interaction:1 geometry:1 could:3 transition:7 massive:2 bjorkman:1 origin:1 ring:12 angular:3 necessarily:2 nebulae:6 iab:1 their:1 too:1 gives:1 stars:3 explanation:2 rsg:11 immediate:1 sn1987a:17 than:2 intrinsically:1 revmexaa:1 nathan:1 scenario:4 showed:1 were:1 pre:3 troublesome:1 outstanding:1 spectrum:1 need:2 seen:2 collapse:1 studying:1 mechanism:1 rsgs:1 best:2 analogs:3 blue:2 experienced:1 though:2 track:1 object:1 phase:4 bsg:8 equatorial:5 eject:1 clear:1 implications:1 kaufer:1 velocity:2 lbvs:2 normally:1 fact:1 currently:1 particularly:1 show:3 rotating:2 find:1 slow:2 based:1 merger:6 should:1 only:1 eruptions:1 do:1 slows:1 goes:1 famous:1 supergiants:2 during:3 shaping:1 evolution:2 l45:2 luminosity:5 arxiv:1 twice:1 shedding:1 swept:1 hα:1 observed:2 see:2 radius:3 result:1 enhanced:1 close:1 analog:1 closer:1 phases:1 interacting:4 nebula:23 rings:2 µm:1 state:1 probably:3 comparable:1 never:1 recently:1 originated:1 supernova:4 however:2 blame:1 2pc:1 loading:1 clues:2 kovacs:1 essentially:1 density:1 argue:1 unclear:1 reasons:1 smith:10 m17:1 cs:1 carina:3 create:1 lbv:14 three:3 been:9 much:3 progenitor:6 ph:2 rather:2 sufficient:2 formed:2 fund:1 walawender:1 case:2 supernovae:1 ejection:3 profiles:1 dept:1 near:4 brandner:2 spotlight:1 loop:1 orientation:1 equator:1 thus:3 apjs:1 ii:1 itself:1 triple:2 ambient:1 binary:2 author:1 perhaps:1 elevated:1 several:1 events:1 status:1 closest:2 zickgraf:2 companion:2 episodic:2 older:1 well:1 roughly:1 analysis:1 echoes:1 model:1 shape:2 distant:2 questions:1 speed:1 yet:1 rapid:1 candidate:3 hint:1 had:1 param:1 add:1 momentum:1 livio:1 around:13 possible:1 know:1 press:1 loss:1 sugerman:1 rotate:1 like:6 either:1 become:1 nonspherical:1 because:1 often:2 smith1:1 ejections:1 sher:3 b1:3 images:1 happens:1 dense:1 critical:1 moderate:2 pinched:1 core:1 weis:1 expansion:1 stellar:1 although:1 tidal:1 post:1 properties:1 about:2 rare:1 puts:1 o:1 plus:1 own:1 image:2 references:1 assumed:1 there:2 question:1 inner:1 way:1 was:2 chu:1 form:1 offer:1 some:3 but:3 astro:2 gain:1 solar:2 magellanic:1 line:1 consist:1 up:2 limit:2 similar:1 uc:1 examples:2 aj:2 influence:1 owocki:2 evidence:2 proves:1 physical:1 no:3 other:2 polar:1 star:8 astronomy:1 structure:1 faster:1 requires:2 required:2 agb:1 precedent:1 mass:4 resolution:1 enrichment:2
|
0705.3070.txt |@word magnetic:3 four:3 sci:2 forget:2 whose:4 isometric:3 paris:1 γt:5 γi:4 gaa:1 under:12 worth:1 conjecture:1 dispense:1 rise:4 every:24 ǫf:3 differentiated:1 cmc:106 solution:65 admissible:15 convenience:1 vector:10 indices:3 subindex:5 sion:1 specially:2 estimates:70 direct:15 second:27 tangential:2 subordinate:1 estimated:2 even:2 supplied:2 above:44 new:12 coefficient:3 evolving:1 simultaneously:1 notions:3 never:2 here:6 φmin:1 path:10 interpret:1 contraction:3 stresses:1 items:13 study:3 settles:1 xiα:1 procedure:1 fourier:1 spacetime:4 divide:1 elaborated:2 explained:2 replace:3 circumvent:1 unit:4 derivatives:18 would:12 wbc:4 inductive:4 negative:5 noting:1 call:9 therefore:41 robertson:1 e2:2 type:6 until:11 duals:1 standardized:2 curvature:33 aware:1 berlin:4 hold:2 qabcd:1 must:10 springer:4 ih:2 tb:25 mn:3 mi:1 mj:6 ms:6 lipschitz:5 exceptions:2 petersen:1 example:5 il:2 impose:1 indicated:2 give:18 respective:6 involve:2 indicates:2 degenerate:3 boldfaced:1 uac:2 uab:7 guarantee:6 end:5 provide:3 how:12 description:1 ua1:1 ladder:1 after:15 parallel:3 constants:9 third:10 decreasing:3 operate:2 order:21 operations:3 interpretation:4 over:61 vary:1 satisfied:1 london:1 satisfies:7 integrands:1 before:16 monotonicity:7 fix:3 xm:9 writing:8 better:2 split:2 maximal:8 them:11 similar:3 break:1 they:8 singularity:1 represents:4 each:22 side:2 mean:20 gλi:4 mdn:1 series:2 t3:6 contracting:3 used:20 combining:1 conjectures:1 cosmologically:3 restricted:3 crucial:1 ry:4 kis:1 rg:7 reader:4 rm:24 rn:2 ri:66 rj:3 linear:3 written:1 standard:17 admits:2 estimate:31 publ:1 r4:2 r2:30 r3:15 δij:2 organize:1 rank:7 restrict:2 clear:3 σk0:3 another:3 enumerate:1 q02:4 illustrate:2 similarly:8 needed:3 too:22 vq0:1 σki:3 distance:6 princeton:3 iteration:2 zero:20 matter:10 classes:1 deserving:1 fashion:4 behavior:3 rewrite:2 mind:1 manner:1 seen:7 tells:1 contents:3 convenient:2 latter:1 tλi:2 though:2 metrics:14 involving:7 phase:1 φk:6 observation:23 characterizes:1 calculated:6 partition:2 curvatures:3 points:4 principle:8 notion:7 dot:1 reductions:2 implying:1 gauge:34 solutions:42 substituting:1 wabcd:12 explain:3 topological:2 hrm:1 hrn:1 hri:12 geodesics:4 integrate:6 continuity:14 do:11 dm:2 dk:7 dh:1 coefficients:11 dg:4 de:10 db:1 dc:2 altogether:2 dv:6 reconstruct:1 dt:9 bar:1 covering:10 fields:27 emk:1 4πg:5 twice:2 bab:1 bac:2 implication:1 xkα:38 explanations:1 riemannian:19 reference:1 δjk:4 observed:1 depends:7 w4:1 radius:24 result:16 w1:49 w0:69 best:1 techniques:1 said:3 tensor:32 cosmologies:1 symmetric:8 pressures:3 conceptual:1 approach:3 embeddings:4 extend:4 nature:1 gmin:3 wk:28 however:9 wi:16 ellipticity:1 topology:5 essentially:5 t2β:1 rendall:1 adapted:2 0l:2 con:1 undone:1 systematized:1 δt0:2 applicability:1 recur:1 observing:1 three:49 been:5 t2:10 much:1 interest:1 basic:1 flexible:1 ann:1 xj0:3 obtained:4 quantities:6 joined:1 maximally:4 manifolds:19 applied:10 remaining:2 aim:1 suppose:10 property:7 leaves:3 characterizing:1 ix:1 iv:4 ii:13 disjoint:2 ij:30 im:2 cone:4 qj2:2 id:4 piotr:1 containing:1 perform:1 make:14 clearly:1 descend:1 evaluate:1 several:5 showing:7 independent:11 i1:1 monotonic:5 hand:12 kij:1 kim:1 christodoulou:2 prescribed:1 suitable:4 maximizing:1 gφ2:1 gφ1:1 claims:1 left:4 just:4 thanks:1 facts:4 previous:23 adding:4 gφ:4 slices:3 friedrich:3 easy:3 xjβ:2 gave:2 rescaled:2 breaks:1 flrw:1 posed:1 possible:1 possibly:1 background:10 unique:11 occurring:1 appearing:3 steps:5 arbitrary:11 ha1:1 ha2:1 right:9 olg:7 flatter:1 somehow:2 ascona:1 proceeding:3 exhausts:1 normal:8 comments:1 exposition:1 linearly:1 core:1 substituted:1 ξt1:1 ξt0:1 bruhat:1 ξt2:1 properties:12 o:101 canonic:32 plus:1 slightly:2 statements:2 presence:3 bound:6 down:1 lies:3 acad:1 wγ:4 rely:2 segment:1 support:1 initial:60 wac:6 transform:6 class:1 anderson:3 way:25 m1:6 was:16 gij:7 form:59 becoming:2 denoting:1 true:2 calc:1 versions:1 compactification:1 inside:19 bounds:1 examples:1 proved:16 covers:1 convergent:1 conserved:1 proves:1 exist:2 dλ:3 qit:1 commuting:1 check:3 constructed:6 nj:5 no:14 whereas:1 when:54 vanishes:1 til:1 setting:4 role:1 tij:3 ns:7 nt:1 picture:1 models:3 asterisk:1 variable:3 qi2:2 lm:5 assume:20 dτ:5 interval:30 dς:1 necessitates:1 together:9 time:157 n0:3 n1:7 n2:3 n3:1 n4:2 concept:1 remarkable:1 global:7 devoted:2 depend:1 technique:1 finally:18 monotonically:5 elliptic:74 marks:1 3ah:2 advantage:1 orthogonal:4 choice:7 riemann:5 presented:2 did:2 turns:3 henri:1 item:52 pollack:1 div:4 upper:2 work:2 says:1 sign:1 adds:2 appear:1 uniform:2 current:6 goes:2 appeal:2 satisfy:4 malized:1 tangent:1 ht1:2 xβ:28 along:17 xα:39 sobolev:31 institute:1 shift:23 vectors:2 simultaneous:1 domains:2 t20:2 conveniently:1 studies:2 spatially:2 diffeomorphisms:6 extra:1 inducing:1 centenary:1 projector:2 prove:50 covariant:5 positive:10 lp:1 going:5 criteria:6 scope:1 associated:7 apparent:1 everywhere:1 eδ:4 cases:12 cax:2 values:6 following:26 making:7 arrive:1 claim:4 want:8 figure:2 expanding:4 buchert:1 verlag:2 requirements:2 s3:1 s2:7 discussion:6 write:19 fourth:2 parameter:4 map:13 product:9 r2i:1 may:12 dive:2 gerhardt:1 divb:1 applications:2 data:53 grow:1 2l2:1 stress:1 classics:1 natural:4 dynamical:16 sr:1 explicit:2 cosmology:2 sk:1 si:4 so:14 definitions:1 subsections:2 indeed:10 stability:3 still:8 r2α:1 thank:1 summands:4 interesting:1 coordinates:13 forms:1 mail:1 main:5 xl0:1 non:14 gbd:11 introduce:11 scaling:9 ǫij:3 hamilton:2 identically:1 now:52 discuss:6 gbc:4 term:45 equality:2 name:1 spacetimes:2 sergiu:1 james:3 orthonormal:1 entirely:6 domain:3 en:2 ei:15 ek:4 ej:12 happen:1 emerges:1 shown:7 monographs:1 space:87 lagrangian:1 blm:4 blj:1 formula:16 blc:1 shows:13 theory:3 divergence:2 possibility:1 mapping:1 ore:1 e1:41 e0:19 e3:1 care:3 βt:5 qj:2 derivation:1 transition:4 turn:5 think:5 first:49 xj:4 xk:8 xi:7 xl:3 strengthened:1 xb:5 variables:12 xa:5 xx:1 simplified:1 long:17 directly:2 open:3 size:4 given:27 necessarily:4 checked:1 indicate:1 returns:1 convention:3 speaking:2 gives:13 conˆ:1 continuous:2 proving:6 alan:1 transverse:1 deceleration:1 x2:5 x3:1 x0:7 x1:1 holder:1 than:13 intrinsically:2 require:2 hypersurfaces:4 future:20 were:2 sciel:1 outcome:4 decompose:2 generality:2 dynamically:1 argument:6 say:68 flatness:2 any:49 note:44 potential:1 wce:2 take:8 timelike:1 coincide:1 formulas:5 opposite:1 arguing:1 friedman:5 multiply:5 αt:1 considered:6 average:9 later:13 sigma:1 quantity:5 precise:3 show:46 spaces:8 representation:1 inextendible:2 only:25 explicitly:3 trol:1 get:98 cannot:3 yvonne:1 differentiating:18 prime:1 finishing:1 discussing:1 kernel:1 ricci:4 j0:2 maximum:3 namely:9 differentiable:3 unaltered:4 jabc:1 surfaces:3 satisfying:24 inequalities:5 functionals:1 label:1 outside:1 between:9 multiplied:1 vertical:2 jt:9 flow:104 jm:1 jn:1 comm:4 entrances:3 come:2 σk:2 many:3 region:1 according:4 embedding:3 γij:1 expression:36 comes:2 among:5 overview:1 period:1 article:15 moreover:8 extinct:1 2gab:1 foliates:1 springerverlag:1 deformable:1 oβ:4 oα:21 systems:2 wants:1 direction:13 bmk:1 observers:1 observe:17 6v:3 careful:1 spirit:1 those:10 case:47 engineering:1 situation:2 conformal:4 σa:3 characteristics:1 metric:38 regularity:24 supremum:2 technology:1 different:8 distributions:2 hxi:2 formulations:1 same:40 poincar:1 pab:1 status:1 visually:1 extended:7 trivially:1 πit:1 πij:1 delicate:1 invariance:1 roughly:1 hx3:9 hx2:4 without:7 solve:4 components:13 coordinate:17 model:1 wald:1 manifold:58 being:9 generally:1 rest:12 torus:5 blow:1 heuristic:1 thinking:2 except:11 improvement:2 treatment:10 versa:1 extensive:1 momentum:6 ami:3 φt0:1 aspects:1 around:9 rules:1 decomposed:1 tβ:22 admitting:1 dark:1 vacuum:18 using:52 vague:1 velocities:1 degenerating:1 wbd:4 either:5 always:6 wbl:1 reduced:23 lagrange:1 deduce:5 respect:46 provided:7 slice:27 ellis:1 decomposition:3 provides:2 eigenfunctions:1 uniformly:4 equivalent:6 rearranging:2 comparison:2 ol:14 central:1 ace:1 acd:1 discussed:1 generated:1 greatly:1 2k:6 cambridge:6 image:2 references:5 einstein:46 operator:1 claus:1 conceptually:1 assumed:4 strictly:7 there:38 start:7 cauchy:18 low:4 complete:9 enough:7 marsden:1 pull:1 applying:11 minkowski:4 quantitatively:1 besse:1 detailed:4 ac:10 ab:40 ad:2 ai:2 certain:2 describe:7 am:1 general:19 quantum:4 examine:1 aw:1 formulation:12 corresponding:2 again:10 inductively:1 completeness:1 deserve:1 graduate:1 field:24 valid:12 remarks:1 spatial:4 mathematics:3 a1:6 important:4 bounded:25 massachusetts:1 included:7 curve:2 mass:2 starting:4 gαβ:2 represent:2 dist:2 consider:36 pointing:4 splitting:2 scalar:9 follow:9 expressions:3 r1i:1 choquet:1 chain:1 tt:1 equivalence:1 tain:1 kα:1 tm:10 tk:1 th:3 ti:16 tg:2 presentation:1 tc:3 norm:112 ta:15 r12:1 straightforward:8 returning:1 far:1 wad:3 conjectured:4 corollary:2 fall:1 difference:2 condition:17 hamiltonian:4 list:1 applicable:1 t0:96 t1:17 large:3 adjust:1 small:24 neighborhood:2 past:15 rate:2 design:1 infimum:5 pass:1 further:5 canonical:2 aba:1 what:7 abc:7 abd:1 section:51 version:2 issues:1 sup:7 method:1 edited:1 full:4 indistinctly:1 loose:1 operating:1 berkeley:1 strong:2 equations:75 2kk:2 pick:7 action:1 inspires:1 quotient:1 uniquely:5 requiring:1 texts:1 analyzing:2 proceed:10 contains:4 taken:3 more:18 flat:16 israel:1 operators:8 controlling:5 basically:1 particular:24 known:10 dep:1 recall:12 equation:148 remain:1 canonically:1 deg:1 cosmological:22 stated:5 share:1 states:44 νg:6 minimum:2 numbers:1 sense:6 robinson:29 information:3 needs:2 goal:1 rather:1 kcb:1 utilize:1 acta:1 intended:1 algebra:1 singularities:2 treatments:1 coming:1 horizontal:8 geometrical:1 fl:2 fo:1 short:2 read:1 foliations:1 parameterized:2 perhaps:2 extrapolation:1 fundamental:11 helv:1 gauges:3 developed:2 through:10 daniel:1 existence:9 its:22 subinterval:5 energies:13 solving:2 actually:3 squaring:1 absence:1 projection:1 jacobi:2 deformation:3 geodesic:3 framework:1 2t:3 easily:2 finite:1 2s:1 occasions:1 level:4 2x:1 2y:5 2e:1 iff:4 inequality:14 2b:1 radial:1 found:2 2n:16 2h:1 2i:1 characterized:3 referred:1 neil:1 weight:1 energy:29 idea:2 numeric:11 finish:3 obtains:2 loops:3 operation:1 beyond:5 dominates:1 robert:3 induces:1 denotes:2 denoted:2 induced:2 commutation:1 difficulty:2 reason:3 beginning:1 generate:1 definition:32 pairs:3 launch:1 wijkl:2 conformally:2 running:2 consequence:5 δr2:5 integrand:1 major:1 fischer:2 number:7 done:5 construct:1 passes:1 introduction:2 least:11 assumption:10 identity:9 statement:2 dt2:4 scheme:1 smoothed:1 kλi:2 behind:1 recursively:3 immediate:1 part:7 differentiate:11 consult:1 norms:55 believe:1 kind:14 gotten:1 andersson:7 determined:2 elaborate:1 treated:5 modeled:1 footnote:1 null:3 lie:7 kˆ0:1 depending:5 lim:2 self:1 hgs:1 k3:1 k2:13 k1:20 k0:38 hgj:1 hgi:8 tool:2 kac:3 kab:5 added:1 electric:3 rhs:43 reach:1 chart:22 most:4 nothing:1 measured:1 kb:1 kg:3 ke:2 kk:6 kj:1 tδ:3 sometimes:1 cover:3 kn:2 hg0:12 hg1:18 traditional:1 kt:7 velocity:1 ky:2 physics:1 lying:2 thomas:1 particularly:1 3v:2 minimizing:1 relation:2 find:3 finf:2 completion:1 parameters:1 moncrief:7 factor:7 dominant:6 notation:3 dependent:1 express:1 during:2 hij:2 reprint:1 2kab:3 bartnik:2 arxiv:2 common:2 vincent:3 set:13 sep:1 vinf:20 see:50 arc:1 close:3 practice:1 uα:3 conditions:8 compliment:1 complement:4 attention:1 both:5 last:23 riemanian:1 connection:4 context:4 pde:2 orientable:1 point:10 asymptotically:1 corresponds:2 instants:1 simply:3 pp:1 described:1 due:2 laplacian:5 strategy:3 pb:12 pc:3 pa:13 extends:1 pi:12 referee:1 birkhuser:2 else:1 understand:1 gad:3 gac:4 gab:12 unnecessarily:1 p2:1 extracted:1 look:3 exponential:2 while:12 replaced:2 compactness:1 evaluating:1 vol:1 averaging:1 itself:3 ready:1 ric:48 currents:4 lengthy:1 ama:1 modification:1 resulting:1 higher:2 calculation:2 literature:1 paths:1 flows:10 moving:3 purpose:1 inital:3 older:3 posedness:6 analysis:5 concrete:1 trudinger:1 parametric:1 spend:1 comprise:1 λs:1 λr:1 boundedness:2 λk:1 useful:4 λi:5 conclusions:1 informal:1 guaranteed:3 theorem:28 relevance:1 guarantees:1 solvable:2 subsequence:4 euler:1 hj0:2 demands:1 big:3 couple:1 8πg:2 projects:1 formal:1 imposed:3 systematically:1 follows:62 separately:3 arthur:2 pointwise:3 essential:2 terminology:4 mathematical:3 cones:2 some:23 back:1 towards:6 b0:13 b1:12 b2:2 ijk:3 lars:3 scale:11 integration:1 l12:2 tends:2 gjk:4 bd:10 ba:2 bc:2 bl:1 bn:3 perpendicular:2 bj:6 bk:3 step:13 br:67 subtract:1 hilbert:1 constraint:8 intensively:1 recalling:2 range:11 fredholm:1 ca2:2 l1g:1 into:24 integral:1 univ:1 appropriate:4 frames:2 smoothly:1 specifically:1 analyze:2 sections:2 considerably:1 gauss:13 properly:1 link:1 corvallis:1 directed:1 fde:4 up:9 us:30 sum:6 highlight:1 ua:4 called:10 ub:3 constant:46 defined:58 hg2:11 influence:1 globally:9 single:1 curl:5 defines:1 peter:1 application:2 priori:6 elements:1 generates:1 meaning:1 structure:10 independently:1 implies:9 vice:1 dvg:92 required:8 equivalently:1 depth:1 dvy:17 dvx:2 walker:1 requires:2 having:10 once:6 partial:5 gr:3 illustrates:1 results:10 gy:4 gg:3 gf:4 proposition:133 edu:1 gn:1 gl:2 gk:4 gj:1 gi:6 gh:4 compact:30 uniqueness:2 atlas:73 include:1 ingredient:1 overlaps:1 kcd:8 2rm:1 g2:8 g1:8 g0:20 implicitly:4 putting:5 converge:3 continued:1 arrange:1 3h2:1 tra:1 notes:2 trb:1 michael:3 trg:9 deals:1 inspection:5 noted:1 l2a:5 smaller:1 l2g:37 imply:2 enclosed:1 dynamics:1 index:2 bdf:1 plays:1 bdc:1 chicago:2 giving:3 3p:8 8πgt:1 3t:1 3n:2 3a:1 justification:1 degree:1 respectively:10 desired:15 extrema:1 remark:18 technical:3 involved:1 contradiction:7 leaving:6 cert:1 products:1 implement:2 makes:5 involves:2 composed:1 control:72 named:1 gilbarg:1 scaled:3 limk:1 addressed:1 apply:19 route:1 use:45 asymptotic:1 remains:7 next:19 few:1 themselves:1 formally:1 normalized:7 informally:1 iii:7 high:1 account:5 balls:3 integrating:5 lapse:38 averaged:1 assumptions:3 obvious:1 freedom:4 averages:1 proof:67 abcd:10 borrowed:1 process:1 reconstructed:1 lorentz:1 tab:2 chru:1 holds:4 varies:3 pair:6 instead:12 exemplify:2 abuse:1 inst:1 ambiguous:1 λ2i:3 lines:4 diffeomorphism:10 lβ:6 allow:1 lα:3 s1:8 kbc:2 move:3 vmb:1 vma:1 report:1 including:1 hypersurface:4 mentioned:4 perfect:1 lg:1 ln:2 temporal:1 relativity:11 li:8 choose:5 inspecting:3 covered:1 defining:3 lx:21 greater:2 material:2 mention:5 subtraction:1 front:3 kb0:1 university:4 identified:1 l6:7 sufficiently:10 l4:5 l2:54 l3:3 lorentzian:4 constraints:4 subset:4 weyl:29 doing:3 related:1 hlm:2 hlk:2 sectional:1 relates:1 special:3 out:13 nonlinear:1 res:1 gˆ:1 lecture:2 induction:9 math:8 approached:1 clarify:1 york:6 klainerman:2 hubble:5 helmut:1 geometry:8 automatic:1 could:1 times:11 length:5 isotropic:1 barriers:6 reaches:1 precisely:6 πb:3 πc:2 lemaˆıtre:4 πa:5 hyperbolic:16 extrinsic:2 system:21 πl:8 their:6 intermediate:1 πt:2 perfectly:1 exactly:6 foliation:32 2div:1 haven:1 bel:29 appealing:1 w3:1 w2:3 symmetries:1 unlikely:1 need:14 linked:1 mij:1 min:2 studying:3 able:2 gravity:3 instance:16 gρ:6 schematically:5 subject:1 mit:1 πab:4 πac:6 unless:4 plugging:1 connected:1 preliminary:1 intrinsic:21 why:1 consequences:2 construction:3 fact:69 ki:10 trivial:1 agrees:1 principal:3 q1:3 q0:44 based:3 knowledge:1 jat:1 basel:2 controls:16 should:10 lemma:16 inherited:1 he:1 local:4 ksj:1 regularly:1 handle:2 means:3 familiar:1 expres:1 words:2 evolution:12 qt:4 differential:7 fixes:2 comprising:1 geodesically:4 qc:1 contain:2 qi:8 fixed:8 traceless:9 view:4 conform:1 requirement:1 multiplying:1 computed:2 exists:4 variations:1 frame:1 module:1 edition:1 terms:54 acquires:1 closer:3 tend:1 state:28 closed:3 invariant:21 boundary:1 yamabe:20 ends:1 tensorial:1 importance:3 weak:1 wj:35 hypothesis:16 key:1 tensors:16 david:1 extendable:1 taking:1 equal:9 chosen:4 passing:1 otherwise:1 comment:2 strongly:1 relevant:1 cn:1 cm:1 conclude:8 cb:5 ca:1 harmonic:71 cd:1 sequences:8 table:2 cq:1 cu:1 ct:1 ǫabc:1 addition:3 charts:13 bianchi:1 treat:18 hawking:2 ah:2 define:21 arises:1 controlled:212 finishes:3 moved:1 sufficient:2 finished:1 derivative:31 c2:2 c1:2 present:7 splits:1 subsets:1 value:14 will:112 relativistes:1 πbc:4 vi:1 thus:22 vm:10 vs:2 dual:1 reff:1 generic:2 geometrization:2 unity:1 parts:2 schematic:3 φi:6 gets:4 φl:6 difficult:2 ball:5 effect:2 v0:13 v1:11 v2:8 v3:1 dxα:1 extendible:1 laborious:1 expand:1 keep:4 center:2 bootstrapping:2 obstacles:1 well:31 threemanifolds:1 position:2 arising:2 usual:7 less:6 obtain:8 underlying:1 gmi:2 bibliography:1 density:2 supply:1 combine:1 propositions:12 divided:3 amb:1 checking:1 know:15 isenberg:2 press:5 loss:1 necessary:5 like:18 lost:1 alternatively:1 δt:9 diffeomorphic:2 martin:2 δg:4 works:2 page:2 therein:5 because:5 classical:3 sequence:20 q22:1 growth:2 proper:4 proofs:2 transport:1 happens:1 leaf:1 avoid:2 3manifolds:1 does:6 summand:5 assuming:4 γab:1 lichnerowicz:1 expansion:8 pressure:2 although:8 about:2 carried:2 extension:1 getting:1 column:9 universe:2 energymomentum:1 compatible:5 a2:2 introduced:2 converging:6 homogeneous:5 h2:4 h0:11 h1:12 functional:7 consecutively:3 additional:1 justifying:1 smoothing:1 ricij:1 var:1 naturally:2 function:17 hx:5 hr:48 eab:3 but:22 volume:49 hk:3 hi:10 convergence:3 ha:277 hg:5 partially:1 made:9 compute:19 evident:2 whether:1 gravitational:2 smooth:12 below:24 projecting:1 limit:2 problem:11 piece:2 display:1 mcn:3 measure:6 denote:16 our:4 inf:6 identities:2 proceeds:6 functions:12 other:19 variation:1 ubc:2 survey:1 vein:1 4y:1 bcd:7 factors:9 rule:3 4n:1 4k:2 expands:1
|
0705.3071.txt |@word ibid:6 limited:2 qiang:1 consider:5 represent:1 gupta:1 interference:3 separates:1 results:9 yellow:1 four:4 roy:1 scalar:2 gang:1 edu:1 consists:1 follow:1 contributions:1 issues:1 γz:1 b268:1 bremsstrahlung:1 depend:4 calculate:1 tx:1 b196:1 b266:1 undetermined:1 charge:3 those:4 under:1 ymin:38 include:4 third:2 supported:1 advantage:1 very:6 hagiwara:1 rise:3 ηij:3 coloured:1 replication:2 electron:3 fall:2 mixing:1 experimentally:3 pt2:1 pt1:1 presented:1 c43:1 haber:1 large:3 convenience:1 vector:2 small:5 relation:1 venus:1 upper:1 work:1 force:1 29th:1 ingelman:1 sin2:2 literature:4 sign:1 bartel:1 likely:1 value:2 preon:2 salam:2 giele:1 tev:18 linear:3 even:2 preons:1 transverse:2 abe:3 section:50 current:4 dcos:2 axial:1 experiment:1 d0:1 above:6 fractional:1 new:2 fayet:2 ulo:14 satisfy:1 outgoing:2 lee:2 degree:1 exchange:1 hera:1 unobserved:1 component:1 here:5 adachi:1 asymmetry:1 b269:1 free:2 others:1 alone:3 d51:1 drell:2 quark:8 rijken:1 obtained:1 almost:2 fritzsch:2 b387:1 broken:1 receive:1 larger:4 hinchliffe:1 approaches:2 glf:2 suggests:1 procedure:1 studies:1 cancellation:1 drees:1 plotted:2 σsm:6 eichten:2 via:2 projection:1 family:1 va:3 plenum:1 addressed:1 gluon:3 apply:1 total:4 b222:1 σsp:1 unit:1 d72:1 use:1 would:7 sake:1 positive:1 stated:4 finally:2 next:8 process:13 nucl:12 explicitly:4 therefore:5 renormalisation:2 qcd:15 taken:1 c51:2 panel:1 type:24 theoretical:2 reflects:1 more:8 quigg:1 partons:5 successful:1 becomes:2 operators:4 tested:1 berlin:1 unresolved:6 normalized:1 excellent:1 known:3 cases:2 adloff:1 must:1 high:6 account:1 valued:1 integrating:2 kln:1 flr:1 mi:1 theories:8 reproduce:2 values:2 fll:1 ms:1 kinoshita:1 canonically:1 example:5 compare:1 eqns:6 figure:12 give:3 calculation:7 share:1 weinberg:1 states:2 sphere:1 minimum:1 performed:1 sense:1 domokos:2 gev:7 pink:1 b407:1 needs:1 erratum:1 b98:1 provide:1 discussion:1 get:2 b408:1 plaut:1 lepton:2 how:1 vital:1 criterion:9 pure:5 answer:1 sij:2 axis:2 parameter:2 sin:2 upto:2 rept:3 singular:1 may:4 after:1 singularities:2 hence:3 produce:2 coming:3 bethke:3 choice:1 meaningful:5 sparticles:1 d66:1 physical:2 sectors:1 higgs:1 sq:1 sp:18 lines:1 mjj:14 cannot:1 so:4 godbole:1 fundamental:1 b134:1 dσv:3 eds:1 order:32 talk:1 typical:1 exclusive:2 holds:4 fη:1 constituents:3 over:6 gauged:1 nauenberg:1 experiments:2 through:5 mentioned:1 existence:1 still:1 its:1 baur:1 before:1 martinelli:1 le:1 group:1 thank:1 rizzo:1 ln:5 lo:9 masses:4 rectify:1 expectations:2 boson:1 li:4 better:1 production:12 lr:5 choose:3 van:3 fij:2 stemming:1 imz:1 defining:1 supersymmetry:3 non:1 h1:1 peskin:2 obtaining:1 b232:1 introduce:1 ξij:3 framework:1 effects:1 they:2 symposium:1 oxford:1 nicrosini:1 discuss:1 chromodynamics:2 easily:2 term:3 finite:3 2s:3 fully:1 university:2 level:1 identified:1 baylor:2 hadronisation:2 bonn:1 each:3 found:3 entirely:1 roberts:1 d46:1 d45:2 constraints:2 arxiv:1 significantly:2 arbitrariness:1 due:4 hadronic:1 series:1 energy:7 hard:2 related:1 used:2 ex:4 measurement:2 quantum:1 our:7 approximated:1 beyond:1 bellac:1 out:4 canada:1 shown:3 dominates:2 mediates:1 rr:5 space:4 furthermore:2 since:4 lagrangian:9 mediated:2 safety:1 b391:1 rl:5 c34:2 ref:1 viable:1 c33:1 shows:1 theory:8 interactions:7 divergence:2 possibility:1 standard:2 reason:1 b157:1 york:1 b129:1 region:2 care:1 definition:2 interaction:36 tanabashi:1 giq:1 isr:3 could:1 dijet:19 rosner:1 massive:1 b592:1 assumed:1 corrections:18 neglected:1 martyn:1 hadrons:2 colliders:1 initial:1 lyons:1 jhep:1 relate:1 will:6 antiquark:2 done:2 directly:1 angular:3 illustrate:1 given:13 perturbation:2 checked:1 publication:1 jet:26 similarly:1 introduction:1 leading:15 least:1 their:2 rates:1 fermions:1 calculations:2 eqn:11 seiberg:1 scheme:1 structures:1 final:4 dutta:1 ruckl:1 baryon:1 exactly:1 park:1 artifact:1 electroweak:1 haberl:1 part:1 peccei:1 b235:1 than:10 b237:1 cosθ:6 kind:1 effective:6 lederman:1 hewett:1 vancouver:1 tree:1 zero:2 i3f:1 annihilation:7 matter:1 future:1 contrary:1 treated:1 perturbative:4 function:5 symmetries:1 farrar:1 correction:5 argument:2 wyler:4 say:2 substantial:1 deshpande:1 trentadue:1 need:1 regulate:1 clearly:2 aurenche:1 affairs:1 strength:2 angle:1 depending:1 convenient:1 lin:1 b240:1 isolated:1 note:1 liu:1 contact:31 absorbed:1 take:1 b716:1 accuracy:1 blue:1 towards:1 sm:18 though:4 volkas:1 collaboration:9 majhi:4 most:3 involving:2 amongst:1 significant:2 pair:3 analytically:1 measured:2 class:1 manifested:1 sterman:1 sutton:1 parametrize:1 fiz:1 consequences:1 considered:2 calculated:3 doe:1 proceedings:2 accounted:1 rev:20 principle:1 factorisation:3 d44:1 physics:7 sum:1 came:2 sector:1 cdf:2 pope:1 show:2 fadin:1 sfermion:1 purely:2 gauge:4 carefully:1 opal:3 nlo:21 clg:1 slow:1 based:1 knowledge:1 parameters:1 chong:1 buchmuller:6 enough:1 should:3 ξab:1 analytic:1 only:17 going:2 candidates:1 factor:3 neerven:3 do:1 his:1 goes:1 means:2 dependent:1 de:1 hepph:3 soper:1 beam:1 ones:1 b175:1 words:2 despite:1 alexander:1 qq:1 dpt:2 fields:1 differential:9 stirling:1 remove:1 topaz:1 paper:1 common:1 qf:3 analytical:4 fixed:1 choudhury:3 ql:1 hikasa:1 bars:1 set:2 predicts:1 reference:1 phenomenologically:1 sensitivity:1 langacker:1 b84:1 naturalness:1 see:6 result:10 violet:1 discussions:1 recently:1 b660:1 breitweg:1 best:1 collinear:11 αs:12 typically:1 strathdee:1 distinctive:1 review:1 vall:3 dlo:15 state:6 euroconference:1 various:1 chosen:2 between:2 invariant:13 µf:9 hasenfratz:1 joshi:1 available:2 multiplied:1 terms:2 positron:2 nature:3 ravindran:3 however:4 acknowledgements:1 ln2:6 rapid:1 jets:4 article:2 distribution:6 ads:1 concentrated:1 both:9 cos:7 ilc:1 limits:1 many:1 taking:1 infinitely:1 catani:1 tracks:1 against:2 quantization:1 etc:2 context:2 quite:2 contribution:2 σv:1 comes:1 otherwise:5 among:1 relevant:1 cf:6 dimensional:4 pati:2 applicability:1 cancel:2 constant:4 pseudoscalar:1 conference:1 ensures:1 strong:2 collider:7 perspectives:1 pt:16 inclusive:2 chirality:2 three:19 been:2 frl:1 pb:8 frr:1 much:3 slowly:1 pg:1 abdus:1 pj:3 yad:1 ph:9 pi:4 define:4 hepp:1 families:2 observable:1 photon:1 essentially:1 systematic:1 clusters:1 extant:1 careful:1 θw:7 present:4 case:4 davison:1 multi:1 mandelbaum:1 reliable:2 evaluated:1 aim:1 shall:1 ultra:1 couplings:3 loop:1 jain:1 unsatisfactory:1 detailed:1 cont:1 mz2:1 phenomenological:1 refs:2 ir:1 binding:2 xiao:1 cluster:1 altarelli:1 confining:1 fermion:9 different:5 kwan:1 grant:2 generic:4 divergences:9 radiation:1 cross:48 same:8 any:3 reconstructed:1 parts:1 glashow:1 grand:1 units:1 ichep:1 regime:1 higher:11 independent:5 clear:4 extended:1 infinity:1 luty:1 comprehensive:1 numerical:3 upon:1 effect:3 leptoquarks:1 purpose:1 braunschweig:1 bhaskar:1 kuraev:1 recent:3 b396:1 lower:1 off:1 center:2 scenario:1 nilles:1 markus:1 b255:1 suggesting:1 well:6 analysis:3 thought:1 without:2 experimental:1 mathews:1 model:6 dimension:1 left:2 b191:2 stringent:1 just:2 less:4 being:2 kramer:2 rest:2 c74:2 b124:1 b64:1 virtual:7 questions:1 flavor:4 adding:1 cut:4 montpellier:1 field:1 regarded:1 harari:1 parametrization:1 christenson:1 valid:1 nato:1 treatment:1 easy:1 theorem:1 momentum:3 resolved:13 b59:1 desy:1 depends:1 georgi:1 read:1 phenomenology:1 possible:3 dark:1 department:1 increases:2 unification:1 press:1 world:2 pst:1 mod:1 necessary:1 particle:2 follows:1 reduces:1 behrend:1 ηab:1 specific:1 gjl:1 either:3 arbitrary:3 become:3 composites:1 conclusion:1 soft:13 summarise:2 therein:1 parity:1 because:6 meunier:1 people:1 sridhar:1 some:4 springer:1 examples:2 b227:1 proper:1 electric:1 vol:1 scale:24 ellis:1 dimensions:1 lead:1 electromagnetic:1 ackerstaff:1 quarks:5 integration:1 comments:1 does:2 prof:1 lampe:1 scientific:2 sheng:1 rep:1 june:1 b234:1 b213:1 bu:1 pq:2 leptons:4 b214:1 hadron:1 simpler:1 actual:1 universe:1 mohapatra:1 nnlo:1 dependence:3 o:10 marshak:1 introduced:1 consequently:2 intf:1 jian:1 presence:2 into:2 within:5 numerically:2 bound:2 negative:1 phase:4 right:2 references:2 parton:34 sov:1 balanced:1 proportional:1 france:1 uncertainties:1 cleared:1 hep:13 additional:1 waco:1 transfer:1 suffice:1 there:4 question:1 signifies:2 yan:2 smin:14 abovementioned:1 ed:2 hooft:3 sections:3 naturally:1 lowest:7 kane:2 form:4 jun:1 but:6 expected:2 yang:1 line:1 fg02:1 true:1 he:1 b89:1 jonathan:1 annihilate:1 whether:1 characteristic:2 zeus:1 b85:1 bounds:1 us:2 below:2 limit:2 cello:1 glover:1 demonstrate:2 problem:2 piece:1 similar:3 called:4 strongly:2 mails:1 associated:1 compositeness:3 defined:5 abstract:1 contribute:1 general:1 single:3 exist:2 regularisation:1 organised:1 yanagida:1 supersymmetric:1 ing:1 distributions:6 nonrenormalizable:1 functions:1 compared:1 completeness:2 no:5 allow:1 whereas:3 when:1 handed:2 grf:2 composite:2 other:7 role:1 ambitious:1 test:1 gunion:1 naive:1 presenting:1 deviation:1 ll:5 calculating:3 models:1 sqq:8 b102:1 vertex:1 variation:2 mondal:1 sqg:1 structure:5 lane:2 coupling:2 requires:1 martin:1 dσ:6 investigated:1 mass:15 fact:4 international:3 schrempp:1 resolution:9 lett:36
|
0705.3072.txt |@word limited:4 σt0:8 represent:2 dynamic:1 consists:3 whose:2 under:1 lore:1 neuh:2 microns:1 cause:3 solution:2 vector:4 burke:1 degeneracy:2 10m:1 consistent:1 direct:1 second:9 mason:1 even:6 established:1 errors:2 8m:1 above:3 designing:1 new:5 simultaneously:2 residual:2 here:2 active:3 path:5 obtained:4 study:2 vogt:1 wds:1 natures:1 fourier:1 changes:4 diameter:1 9m:2 subtracts:1 explained:1 brought:1 total:1 unit:2 would:6 arms:3 m1:6 therefore:1 m2:14 care:1 type:18 separated:3 composite:1 must:5 locked:2 palomar:5 mb:10 work:2 eclipse:21 mj:11 tng:1 mp:28 ms:11 root:1 example:4 indicates:1 magnitudes:1 keep:1 end:1 travel:1 zzzz:1 how:2 hot:1 adjacent:1 sato:1 description:1 modulation:1 after:4 confirmed:2 hence:2 modest:1 spectrometer:1 meaningful:1 types:1 starlight:4 udry:6 third:2 schneider:1 complexity:1 maintain:1 correlation:3 scintillation:5 order:6 over:8 vary:1 satisfied:1 murray:2 japan:1 mayor:5 fit:6 better:2 distinguishing:1 fig:6 them:1 woltjer:2 effects:7 they:2 comprised:1 represents:4 netherlands:1 brightness:1 fringes:6 each:19 calibrations:1 lifted:1 telescope:10 pfahl:8 principles:2 cmb:1 combining:1 navy:1 extract:1 rt:7 rv:20 rp:1 restricted:6 crucial:1 mccarthy:1 newly:1 quirrenbach:1 centauri:1 numerical:1 given:10 free:1 standard:4 formation:15 lissauer:2 estimate:2 superimpose:1 telescopes:7 r1:1 r2:1 days:12 matsuyama:1 already:1 primary:3 malbet:1 another:1 clarity:1 similarly:2 eqs:1 approximately:3 perturbations:5 rates:3 listed:1 exposures:2 servo:2 barbieri:2 positively:1 distance:4 target:9 likely:3 pasp:2 modulating:1 modern:1 spectrum:14 manner:2 seen:2 dozen:1 convenient:1 latter:1 oriented:1 fitting:2 forces:1 isolates:1 urakawa:1 blue:1 though:3 object:2 phase:18 doi:18 observation:2 calculated:2 points:1 sum:2 planetary:18 selected:1 inspire:1 infrared:2 implying:2 radii:1 obliquity:1 earth:8 claudi:1 delays:1 hrs:1 constant:3 do:2 watson:2 maciej:1 twice:2 discs:1 thanks:1 precluding:1 reference:5 sensitivity:15 detection:5 depends:2 radius:2 result:1 best:2 techniques:8 exponent:1 conceptual:1 approach:4 discovery:1 triples:1 nature:4 handful:1 however:10 boss:2 extent:1 contamination:1 paranal:1 cos:1 uncertainty:1 against:2 circumbinary:9 exceeds:1 0m:1 timescale:1 broadening:2 targeting:3 three:2 been:16 much:6 expected:4 scuderi:1 life:1 quantities:1 spie:1 applied:1 inhibit:1 koresko:1 air:1 near:2 suppose:1 ip:12 ii:3 conf:1 ib:3 wissenschaften:1 containing:1 circumventing:1 perform:1 belle:1 potentially:1 split:2 dimensionless:1 several:3 templates:1 independent:1 satellite:1 i0:1 i2:3 auser:2 positives:1 laskar:2 interferometers:2 scenario:2 programs:2 greatest:1 pursued:1 left:2 agol:2 just:4 planetesimals:2 lucatello:1 bandwidth:3 identify:1 anglo:2 campbell:4 yet:1 previous:1 adding:1 campaign:1 candidate:1 had:1 5m:2 spread:1 baselines:1 opt:1 possible:13 l89:1 background:3 clustered:1 occurring:1 atmospheres:1 performing:1 detections:5 night:1 www:1 right:2 somehow:1 truncates:1 born:1 jupiter:12 unless:1 indirect:1 separately:1 bottom:1 companions:14 ice:1 contributing:1 icy:1 tertiary:2 cerro:1 scholl:2 core:2 pose:1 abteilung:1 hst:3 post:1 periastron:3 proceed:1 chapter:1 census:1 chauvin:3 aguilar:1 months:3 o:1 ensure:1 done:1 islands:1 efforts:2 obs:2 queloz:2 considerations:1 presence:3 down:1 often:4 altitude:1 approximate:3 class:3 width:1 editor:1 way:3 jang:2 was:7 form:7 offer:1 pierre:1 kueyen:1 hemisphere:2 solar:8 removed:1 portions:1 kurucz:3 inside:1 detectability:1 maximum:2 meters:1 beuzit:1 reevaluate:1 promises:1 evidence:1 exist:3 simulations:2 magellan:1 mazeh:5 constructed:1 nm:1 no:6 generally:2 interested:1 test:1 jenkins:1 picture:1 models:3 update:1 interferometric:6 variable:1 fusco:1 coronae:1 regime:3 longer:7 assume:8 packets:4 ti2:4 robutel:1 time:12 observables:1 particular:1 conde:2 focus:1 leads:1 equalized:1 morphology:1 millisecond:1 arcsec:1 zone:1 technique:12 marzari:3 elliptic:4 stabilizing:2 combiners:3 brown:5 keck:5 refractive:1 dvorak:7 exact:1 cool:1 level:4 upper:3 illustrating:1 l92:1 spectrograph:2 theories:1 targets:2 spectral:1 appear:1 axes:2 current:2 sequential:1 template:5 palmer:1 dwarf:5 appears:2 sending:1 incoming:1 cochran:1 shift:6 studied:1 steffen:1 commonly:1 accomplished:1 simultaneous:3 throughput:1 usually:1 studies:1 spatially:3 convolution:1 extra:1 subarcsecond:1 fbg:2 perf:3 positive:1 properties:1 criteria:2 australian:2 theoretical:2 apparent:7 todcor:4 visual:3 observations:11 cases:3 rotational:2 modified:1 ibg:2 values:1 sparke:1 following:4 making:1 iodine:11 figure:19 december:5 sample:5 performed:1 tidally:2 requirements:1 gh2:3 s2:1 s1:1 positional:1 allowable:1 parameter:1 mas:7 may:14 southern:2 produce:2 snr:1 designed:1 data:9 grow:1 scrambling:1 natural:1 dynamical:4 coronographic:1 irwin:2 so:6 sf:4 se:1 typical:2 seeing:4 mainly:1 canary:1 years:2 stability:4 course:1 argued:1 observational:9 derive:2 monitor:1 wallace:1 mcarthur:1 dwarfs:2 non:2 matches:1 introduce:3 chromatic:1 hamilton:1 half:3 now:1 discuss:1 nor:1 matched:1 term:6 campanas:1 january:3 drop:1 subaru:1 pichardo:2 instability:1 square:1 significantly:1 colavita:10 challenges:1 interferometer:21 astrophysical:3 year:1 wavelength:6 approximated:1 eq:7 shown:4 beust:1 factors:2 interference:1 nominal:1 squares:3 shows:7 theory:2 mechanisms:1 possibility:1 minimized:1 endl:2 e2:1 fixed:1 derivation:2 widths:1 transition:1 motion:6 massive:2 2005a:3 2005b:4 first:10 origin:2 variables:1 xe:1 impossible:1 array:2 angular:2 size:4 surveys:2 indicate:3 white:2 las:1 1m:6 williams:1 gives:1 fraction:4 accurately:1 module:1 than:18 wide:12 unfortunately:1 future:1 were:4 lick:1 correction:2 eggenberger:1 20m:1 subsystems:1 ideas:1 potential:1 observationally:1 performance:3 begin:1 multiple:3 friedman:1 decreasing:1 arcsecond:7 pair:6 pages:6 considered:3 dhillon:2 average:1 adopt:1 2r22:1 substellar:3 redirected:1 typically:3 slope:2 show:6 discovered:5 bright:1 zwart:2 threshold:1 ground:14 astron:1 ratio:3 only:16 between:18 truly:1 nobs:4 cannot:3 nearly:1 pegasi:5 secondary:5 yield:1 portegies:2 fainter:3 ignored:4 deconvolution:1 relative:2 concern:1 detect:11 versatile:1 sites:1 ucles:1 enough:2 moons:5 across:1 august:4 vertical:2 jovian:3 σi:10 missions:2 many:5 region:1 harbor:1 expression:1 σt:1 minima:2 effective:1 period:39 circumprimary:2 lagrange:3 moreover:1 combiner:4 absence:1 mark:3 combined:3 reflex:3 direction:2 formed:2 photon:2 6m:1 observe:1 mauna:1 those:1 case:10 kimura:1 hds:1 iobs:5 fiducial:2 ebault:4 σa:4 characteristics:1 zucker:6 cluster:2 herczeg:2 binary:72 different:5 develop:1 inquire:1 locking:2 same:3 shifts:2 epoch:5 html:1 physical:1 events:3 pan:1 extended:1 coralie:2 companion:17 tracking:3 modes:1 largely:1 roughly:5 without:7 components:9 l101:1 model:13 nearby:2 l104:1 bodies:1 among:1 semimajor:7 when:11 aspect:1 speed:1 mjup:6 mcdonald:1 seems:3 except:1 instrument:5 versa:1 momentum:1 real:1 around:14 read:2 psf:4 dark:2 grid:3 using:7 velocities:13 serves:2 either:3 respect:1 duration:2 nonzero:2 confirm:1 recorded:1 moon:8 critical:3 provides:3 moderate:1 airmass:1 seconds:9 sitzungsberichte:1 equivalent:1 biases:1 ratios:1 2m:2 standpoint:2 dumont:1 refers:1 stone:1 central:2 fringe:19 acm:1 greatly:2 act:1 perturbed:1 referenced:2 follows:1 image:2 dissipation:1 accounts:1 inverting:1 het:1 assumed:5 astrometric:22 there:6 dispersion:1 jupiters:2 detectable:4 low:1 stars:50 assumes:8 complete:1 mnras:4 unreliable:1 october:3 multiplicity:1 strongly:1 ab:3 ad:1 aj:2 rvs:1 ap:17 au:21 planets:52 deeg:1 field:3 spatial:2 separate:4 walker:2 important:2 peak:1 included:1 l65:1 odds:1 curve:10 l68:1 inhibited:1 mass:36 nelson:2 once:2 resolution:1 original:1 holman:4 consider:1 pti:1 caused:1 lack:1 splitting:2 month:7 scalar:1 follow:2 disk:5 transits:2 causes:1 synthetic:1 program:2 th:4 ti:13 tb:1 r12:1 worse:2 kτ:8 very:4 laser:1 difference:2 splitter:1 t0:28 large:8 small:13 ten:1 rate:1 fiber:1 timescales:2 sun:1 section:2 2r2:1 fractional:1 method:7 contrast:2 transiting:8 wiegert:2 component:6 hours:2 november:4 observing:6 search:8 boden:2 allows:1 amount:2 periodic:5 published:2 shortperiod:1 narrow:7 via:3 transit:7 gliese:2 detecting:4 conventional:1 takes:1 faint:3 comparing:4 aperture:1 achieving:1 more:11 initiated:2 keplerian:1 lightcurve:1 instrumental:4 varying:1 known:7 kulkarni:2 producing:1 none:1 hour:4 science:2 equation:4 remain:1 f0:10 scan:3 share:1 minimum:7 annurev:1 axis:10 terrestrial:2 needs:1 goal:1 rather:1 hf0:2 centimeters:1 simplicity:2 derived:6 orbits:29 catalog:2 plane:1 waves:1 response:1 short:7 spectra:4 starspot:2 gratton:1 pepe:1 thermal:1 through:7 existence:1 its:8 rapidly:2 solving:1 late:1 detected:5 systems:32 might:5 yi:6 severely:2 yu:1 1au:5 always:1 rstar:2 micro:2 radial:23 found:4 2n:3 2k:2 transform:1 thirteenth:1 reduce:1 idea:1 obtains:1 measurement:14 operation:1 since:3 projected:5 denotes:2 dominated:1 evaluation:1 occurs:2 benjamin:1 doppler:5 imaging:4 imagine:1 akademie:1 definition:2 pairs:2 unresolved:1 top:3 feed:2 major:3 probability:1 prevent:1 number:5 inhibits:1 fluxes:1 passes:1 perturbation:2 twenty:1 least:4 obtainable:1 calculations:5 hundred:1 too:1 relationship:1 optical:9 favorable:1 tive:1 molecular:2 critically:1 double:6 determined:7 contrary:1 orders:1 paths:2 zero:3 majority:1 k1:1 internal:1 finding:3 echelle:2 hires:3 measures:1 reach:1 most:9 significant:2 accreting:1 alpha:1 extremely:2 binaries:43 unequal:1 sometimes:1 mathematisch:1 drifts:1 traditional:2 velocity:23 particularly:2 blended:1 anisoplanatism:1 minimizing:1 carefully:1 find:3 impact:1 giant:9 northern:2 distributed:1 spectrographs:2 being:7 factor:5 dominant:2 beams:2 condell:2 observatory:8 combinations:1 during:3 muterspaugh:9 desidera:2 resolve:2 arxiv:1 remove:1 scanning:1 set:5 ser:1 achieved:3 undergoes:1 astrometry:15 ara:1 see:13 individual:3 close:15 contour:1 analog:3 burnet:1 exchange:1 smallest:1 orbiting:4 probably:1 subscript:1 conditions:2 cfht:1 available:1 recently:1 complementary:1 spectroscopic:3 both:10 barely:1 sensitive:3 context:1 finds:2 point:4 simple:3 sweep:1 dimensional:3 observatories:3 throughout:2 pp:6 described:3 due:8 pb:11 pc:4 describes:1 collected:1 ph:4 firm:1 itoh:1 gas:1 precision:35 mugrauer:2 determination:2 systematic:2 funk:1 uncertain:1 look:2 grains:1 evaluated:1 while:1 error:5 eclipses:8 aa:1 larger:4 vol:1 itself:2 timings:1 triple:6 santos:2 baseline:13 lengths:1 shorter:2 widely:1 survey:5 relatively:1 shao:7 used:11 levels:2 uses:1 lower:1 database:1 analysis:2 obviously:1 doyle:3 λs:4 distances:2 shape:2 atomic:1 λi:1 alignment:1 k2:1 signals:2 source:3 location:4 exoplanet:3 march:3 showing:1 marcy:3 formal:1 modifications:1 semi:3 admittedly:1 signal:1 disks:1 toyota:2 shapes:1 flux:1 unstable:2 rearrangement:1 methods:2 some:3 back:1 strongest:1 barycenter:2 sight:1 konacki:9 bonanno:1 scale:5 describing:3 l19:1 broadband:1 l15:1 measurements:14 integration:4 mukai:1 connecting:1 proc:1 inclination:2 bl:1 processing:1 restrictive:1 step:1 tidal:5 constrains:1 range:2 wonders:1 cutoff:1 into:2 within:2 martinez:1 appropriate:1 ellipse:1 uncertainties:2 statistics:1 span:1 measured:8 long:13 forward:1 analyze:1 f02:1 groundbased:1 line:8 considerable:1 up:3 planet:53 2πt:1 2πx:1 similar:4 called:2 associated:4 defined:1 influence:2 naef:2 single:12 formalism:1 scrutinized:1 application:1 yang:2 icarus:2 lena:1 meaning:1 lane:7 correlated:2 implies:1 exoplanets:2 algorithm:1 vice:1 complicating:2 required:5 orbit:20 depth:2 declination:3 attaining:1 far:2 requires:2 evenly:1 magnetically:1 results:5 eds:1 proposition:1 gj:2 gh:1 compact:1 concerned:1 young:2 contours:1 stable:8 atlas:2 include:1 confirmation:1 readout:1 stabilized:1 resonant:2 vlt:1 2rp:1 entire:2 transmission:2 positions:2 asp:1 λi2:4 optics:1 noted:1 configurations:3 smaller:3 dynamics:5 index:1 speckle:1 giving:1 cell:13 precisions:10 3m:1 sixth:1 body:1 degree:1 extrasolar:6 respectively:3 explore:1 objects:2 separation:14 extreme:1 parameters:7 adjusts:1 resulting:5 composed:1 stabilization:1 photometric:13 integrations:2 σsc:3 apj:15 egress:2 resolutions:1 use:4 andreas:1 remains:1 next:1 few:5 camera:1 pathlength:2 butler:4 becomes:1 inclined:1 visibility:1 eccentricity:3 iii:4 account:3 inclinations:2 phot:1 averaged:1 meet:1 drops:1 scatter:1 usno:1 protoplanetary:2 xcm:1 high:7 slit:1 ascension:2 uves:1 fortunate:1 delay:10 located:1 varies:1 elliptical:1 sin:20 modulations:1 circular:3 profile:1 µas:8 inst:1 clarkson:1 light:17 separations:1 allow:1 lined:3 divided:1 ingress:2 produces:1 astronomical:1 move:1 meter:3 produced:1 including:1 referencing:4 converting:2 regions:1 complicate:1 outer:3 exclusion:2 masses:5 circumstellar:1 degrees:2 covered:1 rabl:2 weber:1 dosanjh:1 material:1 front:1 determines:2 rotation:4 day:11 february:7 10pc:2 radians:1 sufficiently:2 magnitude:9 mode:3 references:1 constraints:2 subset:1 product:1 related:4 constitute:1 frequency:1 interplay:1 calibrate:1 measure:1 our:2 special:1 out:2 galland:1 performs:1 adaptive:1 hartkopf:2 ref:2 announced:1 interactions:1 fourteen:1 trends:1 likelihood:1 shortest:1 interaction:1 hostile:1 geometry:2 could:4 times:5 length:6 explored:1 lte:2 timed:1 borealis:1 improvements:2 dividing:1 stabilize:2 bull:1 πd:3 πk:1 system:32 adopted:1 their:2 accretion:2 lifetimes:1 πx:2 final:7 july:8 hines:1 observed:16 hatzes:2 amplitude:4 providing:1 exhibit:3 false:1 gubler:1 lines:9 curves:3 kepler:2 unlikely:2 habitable:2 clearly:2 angle:10 mil:1 studying:1 able:2 mechanism:2 shane:1 klasse:1 prototypical:1 detector:2 sirius:1 accuracy:2 σrv:8 but:3 σrn:3 why:2 face:1 fact:1 atmosphere:2 currently:2 contaminant:1 chapters:1 rotating:2 kitt:1 decade:1 based:17 worley:1 should:5 brighter:1 candidates:2 arcseconds:2 ambiguity:1 achieve:1 overall:2 beam:9 ones:1 timing:27 differential:9 cycles:1 cells:1 view:1 knowing:2 requirement:1 acquired:1 national:2 packet:2 intensity:5 paulson:1 enhanced:1 terms:2 phases:8 pattern:3 nebula:1 tens:1 neither:1 kea:1 efficiency:1 probing:1 distribution:1 observable:3 limits:5 equal:4 april:1 bandpass:1 temporal:1 detailed:2 co:1 cm:4 environments:2 celestial:3 table:3 uncorrected:1 sari:1 addition:1 sarg:1 slowly:1 suggested:1 mike:1 corresponding:2 sufficient:2 coherence:3 essentially:1 angles:2 derivative:1 multi:1 atmospheric:8 harder:1 value:3 promotes:1 will:11 vb:2 vi:2 refs:1 thus:8 surface:1 vs:1 orbital:14 metrology:2 perhaps:2 cross:1 sqrt:1 eric:1 matthew:1 unity:1 schematic:1 units:1 l141:1 finite:2 twelfth:1 difficult:2 http:1 eccentric:1 effect:14 infinite:1 frequently:1 center:2 well:7 residuals:1 sets:3 position:5 usual:1 26a:1 less:8 accurate:2 sofia:3 obtain:4 sources:1 testbed:4 taken:5 rapid:1 ads:1 absorption:6 sky:4 reasons:1 other:8 extends:1 gmp:1 details:1 resolved:5 increased:1 smithsonian:1 corresponds:2 five:2 know:1 unseen:2 press:3 turbulence:4 loss:2 necessary:1 like:3 lost:1 alternatively:1 sized:5 lawson:3 hosts:1 δa:2 accessible:2 exceed:1 because:3 classical:1 phenomena:1 searching:2 identified:2 σi2:2 cosentino:1 neglecting:1 transport:1 planetesimal:1 avoid:2 instantaneous:1 does:1 assuming:3 demonstrated:2 noise:10 slight:1 stellar:11 host:5 variation:2 offset:2 approximating:1 stage:1 about:10 actual:1 freedom:2 recognized:1 carries:1 insufficient:1 introduced:5 own:1 previously:1 functional:1 van:1 additional:4 transfer:1 mcmillan:2 spiral:2 spots:2 appl:1 applegate:2 interferometry:4 function:4 hr:4 ht:2 astro:4 repeated:1 hierarchical:2 highest:1 hd:10 truncation:1 fragmentation:1 made:1 evident:1 gravitational:4 variations:5 hosting:1 record:1 below:2 limit:7 trapezoid:2 problem:7 stirring:1 mechanics:3 contribute:2 periods:10 happen:1 compared:1 cephei:3 book:1 compares:1 ellipses:1 star:55 june:8 inherently:1 astronomy:4 exposure:2 searches:3 coupling:1 apertures:3 space:10 pilat:4 rule:1 tightest:1 eclipsing:9
|
0705.3073.txt |@word quarks:3 consider:3 rev:7 results:4 extensively:1 leads:1 grateful:1 consists:1 expressions:1 abundant:1 contributions:2 centers:1 issues:4 content:1 inverse:1 calculate:1 charge:2 dz2:3 those:6 th:1 stable:1 tran:1 must:4 carried:1 string:4 g0:3 very:5 rise:3 emphasizes:2 focus:2 putting:1 kittel:1 affect:1 difference:4 rapidities:1 treating:1 severely:1 kinematic:1 bypasses:1 level:7 deficient:1 interpretations:1 omitted:1 large:6 eur:1 differential:1 demonstrated:1 section:1 small:7 possibilities:1 20th:1 upper:1 strongly:2 smaller:4 zi:1 inevitably:1 sukhatme:1 ingelman:1 sin2:2 cosh:11 dnc:4 rate:1 picked:1 rigorous:1 further:1 dynamics:2 scientific:1 even:4 aim:1 what:8 adjustment:3 d2:2 sum:4 brief:1 overwhelmed:1 current:1 version:1 inferences:1 above:3 expresses:1 commensurate:1 method:2 3d:2 coefficient:1 edited:1 focuses:1 degree:1 whose:2 respectively:2 doing:1 component:17 here:8 understanding:2 wuhan:1 asymmetry:1 feeding:1 china:3 free:1 separation:1 consideration:1 contributing:2 z1:20 z2:20 clarification:1 obtained:1 great:1 exemplified:1 institute:2 study:6 studied:3 adopt:1 resulting:2 complicated:1 narrow:3 studies:1 explain:1 adjustable:3 ratios:2 gluons:3 valence:1 polonica:1 treatment:1 replace:2 fbc:14 decrease:4 issue:1 total:3 establish:1 relating:1 unit:1 readily:1 plot:1 use:3 figure:5 usa:1 positive:1 negative:1 calculation:3 nucl:3 compensate:1 therefore:2 qcd:1 scope:1 florence:1 theoretical:9 minor:1 more:8 flat:1 partons:29 becomes:2 naively:1 mismatch:2 oregon:1 glass:1 visual:2 carrying:1 normalized:2 amelin:1 varying:3 known:1 cases:3 hints:1 topic:1 account:1 include:2 sheds:1 ser:1 science:3 equation:1 work:3 protons:1 regions:1 values:5 following:2 under:3 dζ1:3 dζ2:3 compare:1 weaker:3 conf:1 indicated:2 give:3 process:6 relativistic:2 choice:1 define:2 high:6 collision:2 allowed:1 tan:2 feasible:1 evidently:2 calculated:2 axis:2 information:1 end:3 z22:2 rather:2 discussion:4 returning:2 meager:1 detector:1 write:1 far:3 significance:1 instead:1 guarantee:1 parameter:3 sin:7 gordon:1 wave:12 de:2 description:4 may:8 ζi:1 after:2 derived:2 containing:2 constraint:1 reflect:1 consequence:1 fb:2 plane:2 waves:1 italy:1 summarize:1 geometrical:1 revealed:2 types:1 winter:1 gaussian:4 short:2 attempt:2 dynamical:4 succeeded:1 beam:1 recombination:6 explicit:1 yielding:2 provide:1 complexity:1 so:10 increasing:1 fundamental:1 correlation:33 integrand:1 order:3 restricted:1 six:1 interpretation:1 help:1 constituents:1 over:8 eqs:1 mainly:3 satisfied:1 years:1 produced:6 course:2 experiments:1 including:1 vastly:1 mentioned:1 existence:1 still:3 before:8 bridges:1 symmetry:1 fit:12 located:1 energies:1 fix:2 forms:1 detected:3 production:5 systems:3 listing:1 main:2 defining:1 eugene:1 correspondence:2 them:1 good:2 affected:1 greater:1 autocorrelations:1 universality:1 fig:12 introduce:1 adams:5 framework:1 cosh2:5 half:1 arriving:1 now:4 nor:1 represents:2 term:2 indeed:1 hereafter:1 designation:1 rendering:1 always:1 university:2 traced:1 infer:2 factorizable:2 sufficiently:1 magnitude:4 breach:1 reasonable:2 turns:1 found:4 entirely:2 coalescence:1 heavy:1 aa:3 illuminate:1 parton:31 independent:6 hadronic:12 z12:2 energy:2 hard:13 mclerran:1 principles:1 related:6 fraction:1 increases:4 expect:2 measure:3 multiparticle:1 our:17 eq:35 event:3 out:4 emerges:1 shown:7 clarity:2 acknowledgment:1 space:2 open:1 furthermore:1 since:21 crucial:1 armesto:3 adhere:1 particles:3 collisions:21 adjust:2 dominated:1 denoted:4 rm:6 postpone:1 dominate:2 ref:6 integrated:2 shows:4 foundation:2 earlier:1 linear:1 interactions:1 multihadron:1 possibility:1 quark:1 ex:2 reason:1 necessarily:1 formation:1 ask:2 hep:1 beginning:1 spread:2 definition:1 pairs:5 interaction:5 r1:1 spill:1 geometry:1 widths:1 times:1 length:1 place:1 due:1 incorporated:1 cos:19 hence:1 diminishes:1 hadrons:17 interact:1 first:4 origin:2 major:1 initial:4 probability:1 fluctuation:3 relate:3 variables:3 symbolic:1 number:6 restrict:2 l37:1 antiquark:1 done:8 specifically:1 another:3 precisely:1 quality:1 angular:7 size:2 given:6 salient:1 likely:2 width:7 introduction:1 data:28 condensate:1 system:4 approximately:1 their:6 assumption:1 too:2 tom:1 final:4 gives:3 originating:1 hua:1 relationship:4 ratio:1 relative:4 exactly:2 contribute:2 accurately:1 transverse:5 part:10 natural:2 july:1 than:6 specify:1 wide:3 unfortunately:1 andersson:1 largely:1 second:1 collinear:2 matter:1 determined:3 assume:1 reproduction:1 were:1 outcome:1 behaviors:1 rewrite:1 lines:1 curves:1 correspond:1 realm:1 already:1 variable:1 emphasizing:1 need:3 seen:3 seem:1 picks:1 seek:1 any:12 dη2:6 forced:1 conversion:1 strength:2 angle:10 mostly:1 depending:1 efficient:1 latter:2 rudolph:1 mechanism:3 note:3 fitting:3 contact:1 attempted:2 finding:3 coincide:1 concern:2 meaningful:1 adopted:1 play:1 allow:2 shall:3 collaboration:8 most:1 beta:1 involving:2 connected:1 significant:4 undertaken:1 pair:1 measured:2 class:1 workshop:3 especially:2 characterizes:1 windows:4 neighboring:1 clear:4 later:1 flow:1 feynman:1 proceedings:2 yang:2 artificially:1 exp:1 kt:7 constrain:1 charged:1 physics:4 notion:1 meaning:2 precise:1 incorporate:1 drastically:1 spaced:1 ah:8 show:2 supported:1 notations:1 attempts:1 multiplicities:1 calculable:2 carefully:1 trivial:1 find:3 d0:2 partonic:12 sj:1 q2:1 based:3 parameters:5 implementation:1 collaborators:2 guidance:1 outside:3 should:2 only:9 hadronizes:1 rich:1 factor:10 integrate:2 adequate:1 hope:1 dn:12 do:1 intractable:1 dm:4 dominant:3 gev:6 get:1 dependent:1 vary:3 simplest:2 overall:2 joint:2 unimportant:1 cannot:3 dz:5 nearly:2 words:1 pajares:3 symmetrically:2 lett:3 subscript:1 reveal:1 processes:5 pearson:1 densities:1 fg02:1 arxiv:1 twice:1 investigate:1 analytical:1 fixed:6 discussing:2 hadronization:22 view:1 temporarily:1 questions:1 reference:2 achieved:2 frame:2 correlations:8 light:1 observed:6 collectively:1 see:4 result:6 discussions:1 recently:2 uncorrelated:1 best:1 subject:3 closer:1 tackling:1 nuclear:9 review:1 below:3 symmetric:3 state:6 various:1 chosen:1 between:16 affecting:1 limit:2 circumvents:1 approach:3 available:2 comparable:1 terms:5 hangzhou:1 extend:1 nature:3 suppresses:1 however:6 vanishing:1 extent:2 multiplier:1 jets:1 suppressed:1 problem:12 thank:1 undetermined:1 both:3 essentially:5 improved:1 thanh:1 tractable:1 many:1 region:3 uncertainty:1 incident:1 called:1 participating:1 ln:1 connection:2 figures:1 context:1 focused:1 contribution:9 expression:1 experimental:2 allowance:1 among:1 relevant:4 cm:16 supply:1 color:1 narrower:1 corresponds:2 proton:2 height:1 analyzed:2 wider:1 constant:3 rep:2 factors:1 pqcd:1 sensible:1 pp:15 strong:4 described:4 pt:22 source:3 invert:1 strings:1 window:13 been:16 appears:2 much:5 treat:1 interest:2 basic:6 expected:1 ph:1 universal:1 describable:1 θi:1 corresponding:2 gustafson:1 quantities:1 sufficient:1 formed:3 covariance:5 bulk:2 lift:1 determination:1 angles:6 careful:1 former:1 present:2 case:1 srivastava:2 replaces:1 uncertain:1 tanh:8 solid:8 reliable:1 originate:1 harder:1 value:6 will:6 while:3 behavior:3 situation:1 property:1 procedure:1 versus:1 detailed:2 larger:4 elucidation:1 sousa:2 pool:1 averaging:1 refs:1 thus:11 non:4 vs:1 cone:8 dual:1 vanish:1 investigated:2 different:7 unaffected:1 develop:1 thereby:2 grant:2 distributions:2 make:2 cross:3 same:3 clearly:1 beside:1 emphasize:2 magnified:2 finite:3 intermediary:1 higher:4 status:2 conflicting:1 used:3 imply:1 hwa:2 singapore:1 effect:1 hand:1 ion:1 dη1:6 purpose:1 changing:1 normalization:3 recent:1 lower:3 shaded:2 mention:1 nevertheless:1 whole:1 capella:1 well:2 roughly:8 analysis:7 obviously:1 without:8 components:10 dashed:8 quantitative:1 model:5 grossly:1 latest:1 they:2 just:1 less:1 being:3 obtain:5 rest:2 vanishes:1 identify:2 thorough:1 aspect:1 world:1 miniscule:1 talk:1 momenta:7 scattering:9 yet:1 4a1:1 like:1 density:1 point:4 had:1 except:3 improvement:1 simple:3 valid:2 rhic:1 versa:1 input:1 extensive:2 transformation:2 momentum:5 details:4 pseudorapidities:1 acta:1 insensitive:1 around:3 depends:1 admit:1 jacobian:1 combination:2 possible:6 pos:3 possibly:1 fusion:1 know:1 judge:1 using:2 accepted:1 wings:1 advanced:1 apart:2 coarseness:1 necessary:1 particle:3 excluding:1 shaped:2 follows:1 identifying:1 separately:1 yields:1 fully:1 nucleons:1 soft:17 essential:1 pwave:1 specifies:1 because:4 polar:6 understand:1 phenomena:1 back:11 motive:1 understood:3 growth:1 examples:2 choosing:1 specified:4 hadronize:3 rapidity:8 specific:1 scale:1 describing:1 lead:2 realistic:1 stronger:1 broad:1 leaving:1 normal:1 integration:4 per:2 dz1:3 2a0:1 does:4 decomposition:1 linearly:1 assuming:2 proc:1 porter:7 considering:1 2b:1 power:1 location:1 bm:5 experiment:1 how:1 step:1 although:3 accommodated:1 collider:1 analyses:1 includes:2 subtract:1 properties:12 hadron:15 stage:2 comparison:1 about:7 kinematical:1 would:3 extending:1 prindle:3 basis:1 numerator:1 dependence:17 range:17 misleading:1 wolf:1 efforts:1 sensitively:1 raised:1 inclusion:1 communication:1 into:2 integral:2 three:3 nothing:1 square:1 references:1 primarily:2 lund:1 accumulated:1 strategy:1 significantly:2 statistics:2 van:1 additional:1 definiteness:1 assumed:1 there:14 question:1 approximate:1 long:3 start:3 accordingly:1 describes:1 low:16 way:5 forward:15 was:2 combined:1 function:7 medium:1 azimuthal:3 form:6 some:7 regard:1 but:13 idea:1 correlated:10 tools:1 hb:4 unreliable:2 line:14 highest:1 hf:7 illustrative:1 he:2 fragmentation:5 made:6 applying:1 pion:5 whether:2 multiplicity:7 variations:1 up:2 us:4 until:1 international:1 considered:7 trainor:11 complications:1 autocorrelation:5 fluctuations:3 distribution:19 piece:1 similar:1 average:2 distance:1 profusion:1 broadened:2 associated:1 minijets:1 inclusive:2 defined:1 curve:2 abstract:1 measurement:1 influence:1 yang1:1 examine:1 exist:1 dζ:3 dη:2 formalism:2 ostrand:1 physical:1 functions:4 compared:3 nm:3 dotted:7 no:20 zhong:1 nb:11 when:4 inset:2 nf:11 reality:1 fairly:1 other:6 role:2 recognition:1 holding:1 better:1 department:2 really:1 conclusion:1 picture:2 star:9 calculating:1 separate:2 models:3 θg:1 a1:10 a0:23 develops:1 important:3 peak:1 coverage:2 vectors:1 included:1 sides:2 structure:3 national:1 independently:1 dϕ:2 implies:1 dψ:3 vice:1 dφ:1 requires:1 interval:3 pseudo:8 having:5 uncovered:1 portion:1 mass:1 fitted:1 time:1 observables:1 backward:14 starting:3 original:2 intimately:1
|
0705.3074.txt |@word represent:17 santopinto:4 partial:1 consider:5 limited:1 dissolution:3 global:1 satify:2 primed:4 integration:7 four:29 gf:9 scalar:3 commute:1 generalize:2 pν1:1 edu:1 consists:3 follow:1 expressions:3 faster:1 contributions:9 gi:4 devoted:2 whose:3 inverse:2 depend:3 clarification:1 leung:1 technique:1 canonical:2 rf:15 γu:1 presents:2 finally:11 does:4 those:1 th:6 under:4 analogous:2 include:4 baryonic:1 eikonal:2 hill:1 applied:2 amplitudes:3 consequently:1 straightforward:1 very:6 rise:3 translations:1 wave:42 non:1 electron:1 p1:49 breit:8 difference:2 exact:2 condition:4 identity:1 notations:1 beginning:1 immediately:2 hamiltonian:22 irreducible:1 notes:1 tanh:2 solution:3 leave:1 integro:4 vector:11 avoiding:2 manifestly:20 3b:2 meccanica:1 originally:2 maiani:1 spinorial:1 bd:9 strongly:1 foldy:3 specially:3 consistent:4 direct:2 sign:9 approximation:8 go:1 second:9 plenum:1 insertion:1 pass:1 further:3 dynamics:17 implemented:1 theory:20 even:2 aim:7 appear:6 pace:2 fact:2 sum:14 selected:3 http:1 analogously:5 expressed:5 d3:30 current:7 axial:4 vb0:5 poles:1 above:5 capital:1 3c:2 new:5 3a:6 boost:38 3f:2 3e:2 3d:2 satisfy:5 27a:2 27b:2 simultaneously:1 exchange:8 respectively:11 learn:1 component:3 khanna:1 here:10 atoms:1 canonically:1 departamento:1 making:1 represented:8 method:2 standard:26 equations:16 appears:1 19c:4 calculate:2 box:6 great:2 generalizing:1 γiµ:1 technical:1 study:32 studied:8 allows:5 completely:3 leaving:1 significantly:1 p2:19 ipα:1 products:2 omar:1 published:1 usually:3 conveniently:2 suitable:2 makes:1 involves:1 composed:1 formulated:1 followed:1 projection:3 equality:2 extra:1 9a:2 requiring:1 9c:1 boosting:1 integrations:1 maurizio:1 highly:2 electromagnetically:2 nonlocal:1 translational:1 unambigous:1 total:17 establish:1 propagators:4 coester:2 γk:2 use:13 charge:1 takes:4 would:2 prove:1 covariant:46 positive:18 objectives:1 denominated:1 negative:31 next:7 discrepancies:1 few:9 nucl:7 derivation:1 examination:1 moro:1 qcd:11 taken:4 scope:2 zhu:1 type:2 historically:3 more:9 introducing:8 clever:1 excluded:1 comparison:2 started:1 remark:1 operators:20 introduces:1 appendix:4 normalized:1 impulse:2 particular:11 known:5 applying:2 cases:2 hold:1 iii:1 must:13 ii:8 account:7 mf:23 mc:1 recall:11 equation:78 work:24 oscillator:1 modified:1 theories:7 reproduce:6 iss:1 remain:2 infinitesimal:2 crossed:5 pλ:19 following:29 nonvalence:1 modifies:4 example:3 give:5 calculation:4 relativistic:36 rotational:1 14a:6 organized:1 smirnov:1 pieces:1 states:101 lorentz:25 14b:5 performed:6 want:2 sense:3 unphysical:2 keep:3 absolute:2 nonvanishing:1 requirements:1 advantage:1 destroying:1 verify:1 discussion:2 means:23 b408:1 write:10 how:1 nontrivial:1 syst:1 instead:1 axis:1 parameter:7 product:6 threemomentum:1 description:3 algebra:11 may:2 ladder:3 derived:9 containing:2 dc:10 consequence:14 fb:1 negele:1 mignani:1 ff:2 improving:4 representations:1 choice:3 data:4 response:1 unitarity:2 bogot:1 tranformation:1 realized:1 dynamical:23 effective:9 coupling:2 light:1 spectra:3 explicit:4 element:2 ensured:1 ones:2 so:9 sect:9 fundamental:3 enter:1 representation:17 order:23 gµν:4 typical:1 interpretation:1 help:5 ith:1 nucleon:4 developed:3 over:4 summarized:2 displayed:1 satisfied:3 interpreted:5 produced:1 paper:2 including:3 signs:12 itw:1 satisfies:5 still:2 its:15 boosts:4 before:5 recalling:2 le:1 group:17 wallace:8 la:1 chosen:3 matrices:8 masses:2 inclusion:1 unity:1 conjugation:1 writing:1 forms:1 static:1 offers:1 degrees:1 systems:29 jacobi:4 mail:1 main:3 defining:4 overcome:2 eur:4 focussed:2 13b:8 them:3 rwe:18 13e:3 13d:2 rotations:2 outlined:2 introduce:25 number:3 encountered:1 framework:7 simply:2 effects:8 they:7 front:1 1b:2 singularity:1 now:12 discuss:1 developments:5 sects:1 chromodynamics:1 represents:17 term:8 finite:4 dirac:30 pµn:4 verifying:1 fully:1 level:2 mw:8 pνj:1 2a:5 2b:8 eigenvalue:5 found:4 universit:1 chapt:2 mean:1 itzykson:1 spinor:4 modern:1 differential:1 transforming:1 directly:10 chimera:1 hadronic:18 series:2 energy:65 revised:1 4b:2 related:6 equivalence:1 revise:1 isospin:1 poincare:3 entering:1 quantum:18 our:18 beyond:3 eq:105 special:1 out:5 projections:1 widely:1 shown:11 reducing:1 matrix:22 factors:10 bosonic:1 furthermore:12 4c:2 rev:16 rew:1 19b:6 denotes:2 particles:30 re:3 acting:1 investigation:2 amplitude:9 denoted:9 ref:4 correct:6 shows:3 exactly:1 mv:1 performing:1 linear:4 interactions:8 8b:2 8a:2 ısica:1 fisica:1 possibility:2 quark:25 difficulty:3 approaches:1 threedimensional:1 york:2 eigenvalues:2 put:1 bakamjian:2 remainder:2 base:1 e2:2 definition:21 pairs:1 interaction:70 cured:1 chiral:1 fw:4 applications:1 concerns:1 starts:1 could:3 transition:1 excluding:3 diquark:1 feasible:1 turn:4 universidad:1 corrections:2 hadrons:1 dipartimento:1 first:11 origin:2 goldberger:1 features:2 symmetry:3 kernel:1 relate:1 variables:11 encouraging:1 clear:2 antiquark:2 done:5 nonperturbative:3 colombia:2 reached:1 cqm:1 precisely:1 angular:2 pµi:8 interchange:1 given:37 long:2 introduction:7 leading:2 eqs:39 adam:1 system:29 adopted:3 1a:2 their:8 1c:1 intermediate:3 brevity:1 1d:4 calculations:4 really:1 quadratic:10 relations:2 gives:4 free:19 shell:2 unboosted:1 orden:1 tool:2 helpful:1 proving:1 17b:5 17a:2 electroweak:10 udc:14 part:5 9b:1 constituent:10 translation:2 representing:1 than:2 intrinsically:1 covariantly:2 18b:3 observed:2 18a:1 riska:2 approximations:3 measured:3 zero:4 fermionic:2 determined:5 recovered:2 reproduction:2 were:4 rǫ:1 treated:1 minus:1 prosperi:3 perturbative:5 wσ1:2 m2:9 klink:5 28b:2 symmetries:2 7b:3 7a:6 nuovo:4 reproduces:1 quasipotential:6 dynamically:5 suppl:1 argument:2 generalization:6 20a:2 20b:2 variable:5 ket:1 need:1 demonstration:1 any:4 symmetrized:1 lie:1 cm:1 standardly:2 depending:1 studying:1 latter:1 able:1 aside:1 canton:1 note:15 phillips:1 internal:1 generalized:7 analogy:1 objective:6 green:3 techniques:2 ultimate:1 itu:1 added:3 components:4 shall:15 price:1 denominator:2 paid:1 most:1 connected:1 significant:1 preliminary:1 remarks:1 intrinsic:1 rhd:42 probes:5 salm:2 nonlinearity:1 considered:13 calculated:1 later:3 tβ:2 disease:2 tα:3 concepts:1 feynman:7 exp:1 mechanical:6 velocity:13 physics:5 section:10 fitted:1 quantity:4 sector:1 thomas:2 particularly:1 index:1 show:8 lippman:1 contemporary:1 lµν:3 obtains:7 relation:6 solutions:4 participate:2 threshold:1 wigner:2 find:2 make:1 sanctis:12 based:2 knowledge:1 parameters:5 specializing:1 edited:1 inserted:3 state:11 covariants:1 should:12 values:3 gell:1 only:15 explicitly:11 generators:25 subsection:1 factor:6 diaz:1 hamiltonians:2 do:9 correspondence:1 dominant:1 establishes:1 notation:7 di:3 dependent:5 simplified:1 de:14 straightforwardly:3 prohibition:1 pions:1 vijk:3 cannot:3 words:1 invariant:9 combinations:1 wσ:27 procedures:1 twobody:1 normalizable:1 constituents:1 continuum:3 threebody:1 iδ:2 3g:1 arxiv:2 expansions:1 summary:1 qb:12 though:1 contain:2 giannini:4 fixed:1 discussing:1 require:3 hypercentral:1 deuteron:2 body:31 requirement:2 set:7 constructing:1 reference:5 achieved:1 frame:8 summed:1 sez:2 relative:2 collectively:1 depends:3 result:6 eliminating:1 separately:1 recently:1 keister:1 kinetic:1 incorporating:1 reproduced:1 satisfying:3 qµ:8 commutation:20 ways:1 nuclear:8 currently:2 definite:1 roma1:2 uγ:1 λn:4 symmetric:1 written:16 difficulties:3 various:2 correctly:1 between:8 progress:1 diagonalized:1 approach:6 wm:6 mainly:1 verification:1 choose:5 publishers:1 boffi:2 terms:28 creating:1 missing:1 initially:1 jv:1 weak:2 however:5 jr:1 pcac:1 positronium:2 derive:4 ud:12 analyzed:2 composite:1 sanit:1 understanding:3 tensors:1 pµ2:4 improve:2 motivations:2 both:13 essentially:1 polyzou:1 instant:2 σn:1 buchmann:2 many:1 taking:7 compton:2 guarantees:1 vanishing:7 quantization:1 fulfilled:2 etc:1 connection:7 context:3 expand:1 γij:1 contribution:1 summarizing:1 expression:14 finds:1 experimental:4 among:3 dm:1 relevant:13 co:1 fields:1 space:3 nonrelativistic:8 reasons:2 seems:1 solve:2 16b:1 glozman:1 dimensional:9 pole:5 wσ2:2 anti:1 a27:1 moreover:1 cp:1 pseudoscalar:2 considering:15 better:1 ensures:1 strong:2 described:1 transformations:9 leads:1 plitude:1 19a:4 three:35 been:31 pµ1:8 pb:27 blankenbecler:1 reduction:4 much:1 pf:24 treat:1 interest:1 electrodynamics:3 expected:1 conjugated:1 pi:4 pn:5 unchanged:1 derives:1 pm:1 hernandez:1 obtained:11 arises:2 corresponding:9 radici:2 restrictions:1 quantities:4 concerning:1 photon:3 covariance:12 relevance:1 confinement:1 determination:1 external:4 last:3 denote:1 spin:12 former:2 present:22 case:31 p0:1 handling:3 pacs:1 netherlands:1 reliable:1 expanded:1 conserved:3 value:5 eigenstate:2 will:24 receive:1 while:3 replaced:1 wagenbrunn:3 property:4 salpeter:4 procedure:16 subsect:8 unsatisfactory:1 vb:9 unitary:6 express:2 vf:2 coupled:2 phenomenological:5 cano:1 refs:1 13a:7 according:8 vp:1 ij:3 il:4 conf:2 march:1 mod:1 vanish:1 harwood:1 currents:4 shorthand:2 vogt:1 different:11 italy:1 generic:1 corresponds:1 lett:4 same:17 poincar:32 another:4 verifies:3 moshinsky:1 arguments:2 established:1 propose:2 avoids:1 constructed:1 development:2 independent:3 used:22 infinity:1 see:5 cardarelli:2 squaring:1 boosted:10 nest:2 numerical:6 structurally:1 effect:1 hand:9 v0:3 action:2 v2:2 levels:1 uses:1 infinite:1 invariance:11 anticipated:3 normalization:8 specialize:1 pµ:1 pathologies:1 colour:1 no:2 well:5 analysis:1 obviously:4 academic:1 without:3 allow:2 mann:1 spectator:2 roma:3 firstly:2 quantitative:1 model:55 left:1 construct:7 λv:28 proposed:3 cortona:2 being:9 generally:1 accurate:2 obtain:6 rest:3 underlying:8 referring:1 transforms:3 aspect:2 using:13 useful:2 momenta:27 scattering:8 eigenstates:1 λm:6 previous:24 uncrossed:2 inelastic:3 preprint:2 wef:5 generator:14 rµσ:3 point:16 character:3 nacional:1 simple:1 setting:1 transformed:3 treatment:1 s01:1 reason:8 heavier:1 solvable:1 transformation:22 momentum:32 take:5 identical:1 explained:2 aspects:5 easily:7 rules:16 phenomenology:2 showing:1 wouthuysen:2 results:1 possible:15 simula:2 16a:2 possibly:2 vγ:1 julia:1 pα:3 imposed:1 replace:3 vν:2 advanced:1 formal:5 naturally:2 theor:2 necessary:4 like:4 particle:30 bethesalpeter:1 28a:3 follows:2 collective:1 tγ:1 manifest:7 specific:6 serious:1 steps:1 always:2 expresses:1 nucleons:2 reduced:1 because:4 methods:2 namely:1 understand:1 resonances:1 some:15 remarking:1 pσ:2 onto:4 pρ:18 examples:1 respect:8 small:1 gross:8 vol:2 meson:2 highlighting:1 ubr:2 lead:1 electromagnetic:10 quarks:3 extensively:1 best:1 mesons:1 equal:6 harmonic:1 assuming:1 proc:2 minimal:2 refer:1 inserting:1 investigations:3 λi:14 scientific:2 problems:3 equivalent:4 each:2 agreement:1 expansion:5 step:2 pauli:1 substitution:1 approximating:1 refers:1 finding:1 properties:10 meyer:1 pβ:3 pγ:2 about:1 works:2 carried:1 world:2 simplify:1 freedom:1 completing:1 graw:1 discussed:10 15c:1 o:3 essential:1 practical:1 convenient:2 ensuring:2 15b:5 auxilary:1 act:3 mixed:4 efforts:1 introduced:25 slightly:1 automatically:3 considerations:1 contains:1 letters:1 presence:4 previously:1 into:8 within:3 obtaining:4 bound:20 due:9 down:2 pair:3 zuber:1 references:1 determine:1 operator:63 amsterdam:1 faced:1 nowadays:1 theoretically:1 technically:2 spinors:14 rely:1 van:1 classical:1 elastic:2 assumed:2 strictly:4 initial:1 transform:2 specifically:1 u2:1 wbr:2 conservation:1 low:2 way:24 subsequent:2 analyze:3 was:7 unal:1 ψr:3 function:28 complete:3 form:61 energies:1 ator:1 differences:1 but:9 change:1 ψb:4 construction:7 link:3 delta:3 13c:2 pg:4 removed:1 violate:1 partially:1 infn:5 rotation:6 rogers:1 p0b:1 fulfilling:2 advantageously:1 devine:1 up:14 us:1 theoretical:5 carefull:1 below:2 projecting:1 limit:3 tensor:2 sides:1 highlight:3 problem:8 define:10 similar:5 called:7 benhar:1 connect:1 mechanics:3 block:2 adopt:1 replacing:4 defined:11 abstract:1 describe:1 deep:1 general:14 cbr:4 single:10 fb0:1 operatorial:1 formalism:10 commuting:2 simplest:1 physical:7 again:1 functions:6 pν:2 completeness:2 cim:4 graphs:21 sugar:4 commutes:1 when:8 detail:4 schwinger:1 field:21 definitions:1 other:18 details:2 ambitious:1 spatial:11 instantaneous:2 asterisk:1 observable:2 conclude:1 elements:13 kinds:1 calculating:1 models:23 appearing:1 vertex:1 includes:1 15a:4 class:1 meaning:1 important:3 faessler:1 allowing:5 vectors:2 included:1 plessas:3 4d:1 structure:9 building:1 4e:2 sapienza:1 auxiliary:19 coulomb:1 perturbatively:1 requires:3 required:3 interacting:11 rule:3 having:2 observe:1 mass:26 bethe:4 time:7 observables:3 nuclei:1 4a:2 starting:5 original:2 vµ:13
|
0705.3075.txt |@word yamaguchi:2 quarks:1 gs:25 consider:6 atick:1 vev:3 rev:18 iib:1 results:1 unchanged:1 leads:6 gogoladze:1 scalar:5 gb:2 ga:39 consists:2 ichinose:1 research:1 dreiner:5 compact:4 whose:1 preserves:1 depend:1 calculate:1 lerche:1 charge:14 program:1 tk:4 th:8 under:9 ohtsubo:4 must:5 indicating:2 division:1 forste:4 string:14 2ri:2 zhang:1 induce:1 geometrical:3 witten:3 chamseddine:1 mixing:1 difference:1 exact:1 condition:25 four:2 4n1:2 t8:1 level:3 t6:1 t7:1 t4:2 t5:1 z12:7 t3:5 t1:5 leave:1 discrete:57 convenience:1 vector:3 small:4 relation:15 12v:2 zm:6 zn:14 smaller:2 illustrating:1 zi:8 coefficient:6 ratz:3 10d:1 niga:1 second:4 further:1 10v:2 antoniadis:3 canonical:2 even:9 index:3 kinetic:1 appear:4 babu:3 section:6 brief:1 pontryagin:1 current:2 rabadan:1 above:10 fractional:1 doublets:1 kyae:1 contributes:1 satisfy:18 devoted:1 lee:1 ibid:1 respectively:3 error:1 component:2 certainly:1 here:10 modular:2 z8:6 supermultiplets:2 groups:12 eikx:1 z4:14 path:1 z6:9 quark:1 appears:3 z2:4 z3:11 obtained:11 institute:1 shift:1 study:12 studied:6 allows:1 completely:1 kubo:6 uranga:1 ekx:1 identity:1 spacetime:1 king:1 useful:2 leptons:1 forbid:1 visible:1 anomalies:66 summation:2 controlled:1 total:10 linearly:1 use:4 kakizaki:2 would:6 remains:4 beginning:1 spontaneous:3 eφ:1 axionic:1 next:3 few:1 linear:1 ust:3 therefore:6 ip:1 taken:1 scope:1 type:4 theoretical:1 preserved:2 untwisted:4 sponds:1 duality:25 mφφ:3 definition:2 clearly:1 neglected:1 operators:5 corrected:1 about:1 ris:2 vi2:2 vi1:2 iia:1 particular:2 known:1 cases:1 fermionic:2 springer:1 include:2 ma:1 quantized:1 science:1 work:1 oscillator:8 theories:2 remain:2 itself:1 following:12 root:1 example:8 wang:1 give:2 discussed:2 takahashi:2 organized:1 oscillated:1 states:5 ia:1 minimum:1 numbers:3 allowed:5 ib:5 provide:1 technology:1 discussion:2 breaking:19 lepton:1 superstrings:1 nontrivial:1 pair:1 derendinger:1 tatsuo:1 constraints:1 sin:1 simplicity:1 mas:1 may:15 kawabe:1 oscillators:7 after:1 containing:1 applications:2 produce:1 studies:1 coming:1 kounnas:2 representations:3 choice:1 types:2 rga:21 trapletti:1 realized:1 physical:3 sectors:4 6th:1 bosonize:1 explicit:4 correspond:6 su:28 dilaton:6 so:31 varzielas:1 fundamental:1 correlation:3 banks:1 representation:5 order:4 holds:1 remnants:1 casas:2 produces:1 hiroshi:1 pointed:1 satisfied:1 interpreted:1 course:1 paper:3 including:3 dixon:4 unfavorable:1 japan:4 satisfies:3 still:1 its:11 orbifold:47 derive:1 but:4 surviving:1 decay:1 chosen:3 interesting:3 masses:2 boson:1 argued:1 kaplunovsky:1 parts:1 lavignac:1 main:2 supersymmetry:7 non:28 good:3 combination:2 universality:1 introduce:1 break:3 framework:1 graesser:1 effects:9 they:11 b574:1 now:2 discuss:1 term:5 hereafter:1 always:1 university:3 classified:1 identified:1 transregio:1 factorizable:1 realistic:1 bonn:2 each:7 found:2 universit:1 european:1 side:3 nonperturbative:8 heavy:1 spinor:1 narain:1 jones:2 weight:3 needless:1 t2:3 energy:12 related:5 applicable:1 harnik:1 investigated:1 measure:1 our:9 beyond:1 eq:3 out:1 shown:4 rr:4 space:8 erratumibid:2 furthermore:4 since:5 lagrangian:1 denotes:4 wingerter:3 investigation:1 ra:4 denoted:4 induced:1 ref:3 ri:35 shows:1 orbifolds:5 theory:19 asu:8 free:6 standard:2 reason:1 ramos:2 e8:6 eigenvalues:2 institut:1 e6:7 aso:10 generate:2 union:1 kuns:1 r6:1 r1:2 r3:8 could:1 v3:1 place:1 itou:1 hence:1 terao:1 top:1 first:3 origin:5 sanchez:2 dine:5 ibanez:8 luhn:2 ono:2 symmetry:39 jhep:7 third:1 dynkin:2 ez:5 number:6 fast:1 another:2 fρσ:1 constructing:1 given:1 perturbation:2 moduli:5 similarly:8 introduction:1 leading:1 eqs:1 achieved:1 lewellen:1 twisted:3 relations:3 their:15 quadratic:1 seiberg:3 fermions:5 typographical:1 dfg:1 structures:1 murayama:7 unbroken:14 shifted:2 nilsson:1 exactly:2 park:1 forschungsgemeinschaft:1 part:16 2ar:7 subsector:5 somewhat:1 than:5 coefficients:19 center:1 wide:2 develop:1 ben:1 effective:7 culture:1 require:2 depends:3 byproduct:1 nakano:1 matter:15 future:1 takeshi:1 contrasted:1 powers:1 perturbative:1 interests:1 spectra:2 symmetries:55 lines:2 correction:1 sevilla:2 spectrum:5 deutsche:1 winding:1 say:1 sen:1 need:1 r3v:1 constrained:1 any:2 warner:1 wilson:2 constructions:1 hamaguchi:2 zero:1 convenient:1 latter:1 gravity:2 mechanism:8 note:4 instance:1 take:2 quevedo:6 kaplan:2 green:4 kac:3 play:2 continuous:6 shall:1 bsu:6 most:2 beta:14 satisfying:1 germany:1 ht:1 nothing:2 sfb:1 supertrace:1 kb:5 ka:7 scientific:1 observation:1 consequences:1 considered:1 torus:8 later:1 implications:3 hi:2 exp:1 gepner:2 constrain:2 subgroup:3 physics:5 sum:3 fact:5 quantity:1 sector:12 thomas:1 selection:5 bosonized:3 ko:1 show:3 supported:3 supermultiplet:1 implying:1 chiral:4 spaces:1 gauge:37 nonfactorizable:1 threshold:1 d4:2 font:3 trivial:3 find:4 larson:1 friedan:2 b660:1 explain:1 less:1 fortunately:1 should:9 only:10 explicitly:5 indeed:3 sierra:1 constant:1 araki:1 nucl:39 over:2 abelian:11 notation:2 means:1 dependent:1 de:1 overall:1 expectation:1 resent:1 kanazawa:3 ssb:3 processes:1 fields:20 arxiv:11 shenker:2 investigate:1 orbifolded:1 common:1 through:5 obscure:1 kajiyama:2 diversity:1 available:1 requirement:2 set:1 modulo:10 computed:5 phenomenologically:2 violated:1 calabi:1 differs:1 see:4 corre:1 discussions:1 terms:11 maekawa:1 t9:1 momenta:16 3c2:1 leftmoving:1 intersecting:1 harvey:1 review:5 definite:1 consequence:1 written:1 smallest:2 closed:1 between:20 invariant:6 boundary:1 conditions:2 yamashita:2 preserve:1 bailin:1 recently:2 do:6 originated:1 ikx:1 however:8 medeiros:1 vanishing:8 distinguish:1 group:9 configuration:1 suppressed:1 σk:5 both:1 last:1 movers:4 munoz:2 mrtn:2 altarelli:1 b512:1 raby:3 present:1 casimir:1 operating:1 contribution:6 fix:1 comes:1 comment:1 2ni:2 relevant:1 necessary:1 point:8 simple:2 2na:1 corresponds:3 proton:1 16c:2 dimensional:1 superstring:3 decreases:1 suematsu:1 table:20 along:1 branes:1 z7:4 mssm:5 pt:1 lattice:4 addition:2 west:2 due:4 been:5 schmaltz:1 defined:7 magnetized:1 change:4 ph:8 pi:2 anomaly:22 abstract:1 define:2 θk:3 direction:1 supersymmetric:4 bachas:1 suppress:1 zwirner:1 vaudrevange:3 c2:4 2n1:2 denote:1 those:1 case:4 eip:2 hagelin:1 originate:1 value:1 spontaneously:1 will:3 while:5 suppose:1 promising:1 aid:1 couplings:9 loop:13 real:1 love:1 larger:2 3na:1 phenomenological:6 vi:10 twists:4 thus:13 them:1 ii:11 canceled:5 gaugino:3 susy:6 vanish:1 rib:1 fermion:5 worry:1 ria:1 different:4 century:1 xfµν:1 grant:1 generic:3 acquire:2 same:5 orders:1 φa:1 complex:3 carone:2 emphasize:1 widely:1 grand:1 coe:1 nanopoulos:2 several:1 φn:3 higher:1 independent:2 zumino:1 used:2 velasco:2 trivially:1 again:1 hand:5 v0:4 v1:2 v2:4 levels:2 moving:6 kim:3 louis:1 nir:1 changing:4 invariance:2 yuan:1 normalization:1 dark:1 modes:10 acknowledgement:1 charges:12 changes:1 well:4 mezincescu:1 obviously:1 concrete:2 components:7 consistency:1 model:28 dimension:4 left:6 kawai:1 unified:1 lebedev:1 vives:1 vˆi:1 26d:1 obtain:2 vanishes:1 using:3 faraggi:2 multiplet:1 flavor:8 ministry:1 parkes:3 represented:1 candidate:1 except:3 hall:3 16d:2 rgb:2 lett:33 mod:15 transformation:3 momentum:5 ross:7 supercurrent:1 21st:1 aspects:3 rules:1 breaks:1 possible:2 early:1 quest:1 unification:1 background:1 vacuum:1 integer:15 usually:1 moody:3 generated:1 appearing:1 like:9 particle:1 kurosawa:1 follows:2 schwarz:4 martin:1 universenet:1 mode:1 works:1 soft:1 lager:1 parity:4 right:8 explaining:1 some:4 rqt:2 examples:1 b2:3 respect:1 kawamura:2 extended:3 intact:3 scale:10 ellis:1 dimensions:1 lead:1 bottom:1 opposite:1 superfields:4 does:3 t10:1 kobayashi:11 hep:13 ct:1 minimal:2 majorana:2 ba:5 power:2 kyoto:4 broken:4 singlets:2 nilles:9 includes:3 bga:10 bgb:1 choi:3 basis:3 anomalous:9 meaning:2 o:3 yau:1 bso:4 d69:1 sibold:2 mixed:16 d64:1 addendum:1 introduced:2 consequently:1 therein:1 own:1 martinec:2 into:1 integral:1 three:3 down:3 phase:1 because:13 references:2 operator:9 proportional:5 sports:1 bosonic:9 nsu:6 theoretically:1 span:2 maru:1 vafa:1 assumed:2 there:3 u1:6 transform:2 u3:7 u2:6 conservation:1 bosons:2 low:12 way:2 kang:1 rparity:1 function:13 ghost:3 form:2 32c:3 brane:1 jul:1 buchmuller:1 inaid:1 neutral:1 construction:3 link:1 gain:1 lalak:1 true:2 violate:1 vevs:8 compute:2 whether:1 up:2 us:2 below:4 physikalisches:1 nibbelink:1 heterotic:16 similar:2 called:1 strongly:1 taylor:1 associated:1 int:6 certain:4 universal:7 b3:3 proven:1 general:1 twist:10 piguet:2 conserved:2 ar:30 dψdψ:2 aga:1 yanagida:1 6d:11 mover:1 education:1 check:1 constructed:1 ni:41 functions:5 compared:2 orbifolding:2 no:4 na:1 when:7 rs:1 field:5 tye:1 other:15 role:1 investigations:1 oscar:1 department:2 massless:18 roll:1 conclusion:2 picture:10 briefly:2 accidental:1 models:42 class:2 stringy:3 vertex:8 kvi:5 chance:3 important:6 included:2 n2:2 structure:4 building:1 ohki:1 independently:1 kx:1 implies:3 coupling:2 corresponding:4 ferrara:2 required:1 agb:1 rule:4 bb:1 ki:1 groot:1 write:4 mass:5 schellekens:2 time:5 n1:1 4d:12 strings:4 restored:1
|
0705.3076.txt |@word concept:1 partial:24 consider:23 pointing:1 equalities:3 results:9 leads:4 disc:10 contradict:1 consists:4 follow:10 genre:1 adjustment:2 displaying:1 devoted:1 inverse:1 advantage:1 paris:1 description:10 equivalence:7 containing:1 finally:7 unpleasant:1 γo:2 those:2 under:7 connecting:2 analogous:5 random:1 straightforward:3 disconnected:29 very:1 continues:1 springer:1 induce:1 choice:1 corollary:13 every:31 affect:1 matrices:1 appropriately:1 condition:12 partitions:37 treating:1 four:9 subsets:1 doesn:1 presented:4 did:2 turns:6 leave:2 writing:1 proposition:47 participation:1 small:1 zl:3 encloses:1 says:2 occurrence:1 dealing:2 direct:1 paire:1 go:2 zero:4 cost:1 perspective:1 further:1 canonical:15 even:3 established:1 what:9 adds:1 section:34 mathematical:2 analogously:2 current:1 kreweras:1 version:1 3o:1 sur:2 above:23 passage:1 new:2 bn:60 exercise:2 satisfy:11 deemed:1 splits:2 respectively:10 never:1 here:13 refinement:12 identifications:2 les:1 a627:1 free:1 groups:12 address:2 represented:5 combinatorial:1 along:2 equations:3 z1:3 intersect:1 obtained:11 remark:42 institute:1 involved:1 study:2 studied:1 contradiction:26 amount:1 survey:1 permutation:77 action:3 placing:1 makes:2 involves:3 initials:2 uniquely:2 examining:1 named:1 via:1 useful:5 namely:6 explained:4 marked:4 replace:1 secondorder:1 ask:1 inequality:10 tell:1 summation:1 apply:2 counts:1 clockwise:1 unit:1 standing:1 use:14 feb:1 takes:4 would:19 prove:11 distinct:36 positive:5 contains:3 prea:1 negative:1 next:11 going:2 injective:1 taken:1 means:1 type:33 entails:1 minor:1 more:2 introducing:2 permutations:51 ecole:1 started:2 becomes:4 simion:1 award:1 particular:6 known:4 cases:8 hold:9 iii:5 must:17 disappointing:1 account:3 isomorphism:8 defines:1 sphere:1 recall:1 equation:24 work:3 ρo:5 paragraph:4 obvious:2 canonically:1 meet:16 example:8 def:2 proof:39 claim:4 figure:9 stated:6 calculation:1 discussed:1 preserving:5 organized:1 bessis:1 topic:1 really:2 numbers:2 want:1 sense:6 organizes:1 occur:2 simple:1 verlag:1 requirements:4 goal:3 mutually:1 rather:3 verify:2 discussion:5 six:7 american:3 fortunate:1 write:6 how:14 pure:3 significance:1 instead:3 dedicata:1 obius:1 circular:1 map:10 product:3 de:2 blocks:47 snc:132 may:2 derived:1 orbits:58 factored:2 consequence:3 independent:1 plane:1 coming:2 end:2 compatibility:4 types:1 introduced:9 natural:5 brady:2 imply:4 whenever:3 lemmas:3 author:1 explicit:3 element:9 hypotheses:1 so:26 asserts:1 definitions:1 acknowledges:1 divided:1 talk:1 displays:4 restriction:3 holds:2 interpretation:1 subsections:1 produces:1 indeed:24 over:2 move:1 displayed:1 satisfied:3 paper:23 looks:2 counterclockwise:1 left:3 mentioned:1 existence:2 satisfies:12 still:3 its:6 before:1 regions:1 le:1 group:13 probability:1 maps:1 interesting:1 fix:4 coxeter:1 conjugation:1 actually:3 forms:1 absence:2 onc:20 clusters:1 main:1 into:20 happened:1 eventually:1 non:34 anica:1 combination:2 spell:1 cover:2 introduce:3 framework:7 rank:1 they:3 now:18 discuss:3 nor:1 swapping:3 comptes:1 easily:10 inversion:43 gets:1 equality:8 name:1 transitive:1 always:2 university:6 identified:1 possibilities:3 2g:1 each:16 crossing:68 found:2 2n:9 2o:15 side:5 subset:9 weyl:6 retrieve:1 directly:7 fairly:1 doing:3 µb:7 society:2 literature:5 our:6 operation:6 thing:1 special:1 out:18 canada:3 living:1 shown:6 jackson:1 discrete:5 since:17 research:4 looking:2 re:1 contained:10 reader:3 denoted:7 formula:17 newly:1 induced:10 issue:2 math:3 shows:7 reformulation:2 theory:2 reformulated:1 possibility:6 quite:2 completely:1 corrects:1 besides:2 put:5 beginning:2 definition:51 pairs:1 fixed:2 waterloo:7 applications:1 starts:3 could:3 similarly:7 counterpart:5 turn:4 length:16 produce:1 place:4 isn:1 specification:1 hence:19 zvonkin:1 first:11 already:1 n2l:2 symmetry:4 bijection:3 relate:1 mingo:1 number:5 preservation:2 done:3 relations:2 another:3 ℓb:37 precisely:9 several:2 illustrate:1 given:11 ian:1 checked:3 reference:2 their:6 introduction:6 crossings:4 πo:8 least:7 uwaterloo:2 oancea:3 assumption:5 observations:1 statement:4 convention:3 ordered:11 cycle:4 structures:1 posets:3 gives:13 holomorphic:1 explanation:1 exactly:13 proving:2 immediate:16 required:6 part:12 somewhat:1 authors:1 representing:2 than:3 reflection:1 kind:2 roles:3 cyclic:7 was:11 second:2 preparation:1 succinctly:1 states:2 determined:3 1o:16 were:8 annales:1 enclosed:2 puzzling:1 nicer:1 rewrite:1 lines:3 argument:9 eqn:1 say:4 decomposition:1 factorizations:2 manner:1 need:3 seen:6 saw:2 clearly:1 viewed:2 forced:3 conversion:1 mappings:1 hyperoctahedral:4 patterns:11 check:4 pursued:1 latter:5 note:13 instance:6 goodman:1 concerns:1 take:8 asymptotics:1 coincide:1 reversed:1 greatest:2 province:1 formulas:2 play:1 added:1 advances:1 though:1 sets:6 most:9 satisfying:1 connected:55 remarks:1 acknowledgements:1 invoke:4 why:3 inequalities:1 annulus:9 don:1 observation:5 consequences:1 considered:11 clear:17 partition:32 coincides:5 order:46 graphs:2 proceedings:2 points:13 pictures:2 usual:1 sum:2 fact:33 quantity:1 krattenthaler:2 phenomenon:1 show:3 supported:1 recipe:1 crois:1 notations:11 relation:5 drawings:1 substituting:1 analogue:2 trivial:1 find:6 based:1 just:3 situations:3 written:1 short:1 lemma:34 only:18 explicitly:1 generators:5 subsection:12 inherited:1 circle:9 he:1 dn:20 do:5 his:1 goes:8 notation:21 get:6 embeds:1 referees:1 dc:6 cannot:8 words:1 drawn:5 conjunction:2 neither:2 following:20 runs:1 µa:28 arxiv:3 fixes:1 email:2 common:2 contain:3 implication:1 cycles:6 discussing:2 noncrossing:4 view:2 available:2 set:44 exists:5 transpositions:1 observed:6 see:31 individual:2 result:3 discussions:1 stanley:1 contour:1 surfaces:2 said:5 give:2 enlightening:1 intersecting:1 monoid:1 pattern:27 review:1 siam:1 scientifiques:1 symmetric:1 state:1 smallest:2 various:2 closed:4 between:7 geometria:1 invariant:45 boundary:2 reading:1 conditions:8 checks:2 discovery:1 ℓd:7 terms:9 τo:2 generalised:1 restricting:1 analogues:4 ranked:1 hypothesis:5 clues:1 distinguish:2 outer:3 come:1 bracket:1 both:14 essentially:1 σo:2 reverse:12 many:1 region:2 acknowledge:1 equal:7 nserc:1 called:2 fulfilled:3 monograph:1 connection:3 improves:2 une:1 embedding:1 collection:2 genus:5 comes:4 otherwise:2 comment:1 orientable:1 co:1 a625:1 point:7 appeared:1 continuation:1 ca:2 corresponds:3 alone:1 simply:1 respect:20 narrowed:1 throughout:2 considers:1 conference:1 ensures:1 described:7 acts:2 union:12 three:16 enumerative:3 appears:1 workshop:1 combined:2 interest:1 combine:1 abstract:1 empty:2 define:7 direction:1 corresponding:4 restrictions:1 concerning:2 convert:2 goulden:3 observe:8 ao:28 denote:22 present:8 case:53 intriguing:1 stolen:1 joining:1 look:10 unlike:1 will:48 frameworks:2 while:13 suppose:9 transactions:1 applies:3 situation:7 property:5 inherits:1 identical:1 planar:1 geometric:1 3g1:2 thus:15 them:5 surface:1 ii:10 disjoint:1 itself:3 dual:1 braid:3 different:4 verified:3 grant:1 lengths:4 arguments:1 make:3 belong:9 same:24 any:6 rules:1 became:1 emphasize:1 largest:2 proved:5 finite:10 infer:4 development:1 meets:3 used:16 pick:2 counterparts:6 hand:22 ion:2 moment:2 superieure:1 uses:2 recent:3 relies:1 normale:1 lower:2 argue:2 center:2 nevertheless:1 well:8 double:1 thought:1 concrete:1 without:4 does:14 studying:1 organization:1 drawing:5 subgroup:3 quoted:1 among:1 being:2 generally:2 λy:16 obtain:3 reviewed:5 λb:3 underlying:1 identify:1 immediately:10 facts:4 uller:2 yet:1 adding:1 unique:6 preprint:2 sciences:1 conclude:4 had:3 handy:2 lattice:18 add:1 belongs:7 corollaries:2 versa:1 theorem:29 extensive:1 remaining:3 resolved:1 around:2 isomorphisms:1 checking:2 replaced:2 couple:1 subposet:1 possible:13 test:3 five:4 know:12 background:2 press:1 integer:1 bit:2 intersection:12 poset:20 usually:1 ruled:1 injectivity:2 acquainted:1 necessary:3 identifying:1 follows:36 alexandru:2 ees:1 separately:3 continue:3 either:13 arbitrary:3 become:2 works:1 essential:1 terminology:1 draw:3 circles:1 right:6 deal:2 sequence:2 tells:1 some:15 back:1 self:1 deduce:2 acad:1 sight:1 moreover:6 ourselves:1 happens:2 provided:1 concentric:1 illustrated:1 nonempty:1 avoid:1 opposite:3 comments:1 everything:1 ac1:1 asking:1 exposition:1 intersections:2 athanasiadis:6 refer:3 indicated:3 performed:1 bm:1 equivalent:4 annular:24 pp:1 illustration:2 bp:2 putting:1 therefore:1 bx:1 properties:4 bz:10 artin:1 chapter:1 integers:5 about:6 actual:1 algebraic:1 theorems:8 introduces:2 o:1 compatible:9 convenient:2 range:2 stand:2 suggestions:1 discusses:1 consequently:1 contours:4 block:57 jacques:1 considerations:1 cambridge:1 statements:2 followed:1 previously:1 image:1 splitting:1 bound:2 due:5 down:1 watt:1 appropriate:1 because:14 references:1 bijective:1 substitutions:1 lando:1 ontario:3 additional:1 combinatorics:1 assumed:1 suffice:1 there:24 question:1 long:1 start:2 inner:3 way:13 notices:1 sections:3 naturally:1 function:15 stipulating:1 form:11 denoting:2 but:38 volume:1 serie:1 construction:5 true:4 partially:10 count:2 made:9 applying:1 whether:3 inside:3 vice:1 us:44 lead:1 record:6 below:6 un:1 verification:7 problem:1 stages:1 similar:6 display:6 biane:2 detailed:2 ac:53 later:2 associated:2 defined:28 certain:3 ak:4 describe:1 generating:1 covers:3 general:2 exist:12 journal:1 happen:6 constructed:5 again:1 functions:1 faithful:1 no:18 amounts:1 index:1 nc:10 when:35 detail:2 sublattice:1 finish:1 other:24 role:1 holding:2 department:3 mathematics:11 nica:5 tome:1 conclusion:3 picture:2 briefly:1 elements:36 separate:1 preceding:11 setting:4 a1:4 generated:1 sides:1 careful:1 independently:1 implies:16 longer:1 using:6 spend:1 assume:18 reiner:8 interval:3 orbit:56 together:4 equivalently:2 cumulants:1 time:1 international:1 reserve:1 starting:3 having:3 classical:1 once:1
|
0705.3077.txt |@word replacing:1 ptm:5 concept:2 partial:2 consider:3 illustrates:1 squared:1 activated:10 precondition:1 per:1 computation:8 consists:2 follow:1 research:2 cases:1 whose:1 certainly:1 inverse:1 violate:1 ohya:3 revisited:1 deterministic:8 finally:1 program:3 restriction:1 th:2 under:6 tc:3 case:4 amplitudes:2 orthogonal:5 very:3 rise:1 choice:1 every:3 decide:1 little:1 condition:1 entire:3 disturb:1 level:1 notes:1 list:1 solution:1 t1:2 large:1 discrete:1 section:2 small:1 noted:1 deutsch:10 guaranteed:1 za:3 threshold:1 imply:1 go:1 further:1 dynamics:1 machines:23 canonical:1 even:3 established:1 what:2 activates:1 appear:1 apparatus:1 d2:5 specification:1 hazy:1 cell:7 version:1 above:6 values:1 consisting:1 completion:1 unsurprisingly:1 full:1 q0:10 never:1 theorist:1 here:1 behaviour:1 desired:1 operating:3 twentieth:1 others:1 active:2 standard:1 observing:7 appears:3 box:1 great:1 remarks:1 leaves:1 studied:1 allows:1 nondemolition:1 minimality:1 permutation:1 myers:4 makes:1 sci:1 examining:1 africa:1 apply:3 linearly:1 use:1 infinitum:1 superpositions:2 would:14 probabilities:1 beginning:1 stated:1 readable:1 summarised:1 classically:1 linear:1 tm:6 therefore:6 taken:2 stage:1 until:2 more:5 separated:1 berstein:1 initiated:1 started:1 ti:1 validity:1 reversibly:1 long:1 reversible:4 subclass:1 labelled:1 proceed:1 objections:2 iii:3 must:2 evolves:1 science:1 originally:3 work:1 grover:1 obvious:2 halts:3 following:2 pretoria:1 example:5 reviewing:1 computers:4 impacts:1 give:3 process:1 sense:2 states:18 effectively:1 caused:1 numbers:2 allowed:3 counting:1 yet:2 evidently:1 guarantee:1 information:2 needs:1 monitoring:1 recursive:1 purpose:1 get:1 occur:1 machine:83 maps:1 pure:1 instead:1 ordinary:4 inputs:6 product:2 continues:1 description:4 inherent:1 may:13 turing:48 earlier:3 containing:1 collection:3 applications:3 data:1 response:1 times:2 physical:4 whenever:1 maybe:1 explicit:1 correspond:2 sj:5 complexity:4 algorithms:1 enter:1 operate:3 order:1 se:1 exclusive:1 holds:1 words:2 excludes:1 developed:2 over:7 move:2 soc:1 abstract:2 course:8 mathematicians:1 paper:4 looks:1 mentioned:2 existence:2 satisfies:1 still:1 its:4 write:2 how:3 fix:2 encoding:1 discourse:1 actually:4 microscopic:1 systems:1 might:4 eventually:1 non:2 yj:1 halt:34 combination:1 universality:4 practice:1 flipping:1 yields:1 they:1 acta:1 emphasises:1 now:6 discuss:1 instructions:1 several:1 always:1 university:1 hamiltonian:1 identified:1 establishing:1 reasonable:1 each:14 found:3 out:3 mean:1 heavy:1 fortnow:1 primarily:1 map:1 experiment:1 t2:2 programmed:1 idea:6 related:4 slowdown:1 constitute:1 elementary:1 extended:2 computable:2 expect:1 measurement:6 quantum:58 our:2 operation:8 special:2 intended:2 respects:1 shown:4 qtms:1 kieu:7 space:10 open:1 furthermore:1 since:11 crucial:2 denotes:1 content:11 specifications:1 denoted:1 formula:1 issue:1 correct:2 occurs:2 after:13 theory:5 given:6 quite:5 vazirani:7 bayes:1 shi:3 org:1 e1:1 care:2 definition:2 interaction:1 benioff:2 recovering:1 concerns:1 starts:1 could:7 transition:15 david:1 unitarity:3 place:1 circuit:1 unknown:1 hence:1 moving:1 resetting:1 think:1 south:1 first:3 major:1 initial:5 lond:1 probability:18 purport:1 xc:3 powerful:1 number:9 autonomy:1 entanglement:1 construct:1 directly:2 blank:3 electronic:1 differ:1 necessarily:5 exists:8 needed:1 introduction:1 leading:1 system:4 least:2 fm:2 their:1 finding:1 statement:1 programmable:1 siam:2 scheme:15 final:2 collapse:2 relationship:1 explanation:1 exactly:1 alan:1 direct:4 assumption:1 part:2 predictable:1 somewhat:1 authors:1 natural:1 eliminated:1 than:5 specify:2 finitely:5 albeit:1 kind:2 determines:1 showed:2 fold:1 programs:1 measured:5 computes:1 computer:8 pairwise:1 supposed:1 were:4 tion:1 providing:1 fashion:1 comput:2 generality:1 unchanged:1 mind:1 say:2 need:1 seen:2 programmability:2 recover:1 any:12 contents:2 built:1 depending:1 able:2 switch:1 note:2 sciences:3 internal:11 take:2 xi:3 so:6 completed:1 accuracy:2 calculus:1 unless:1 collapsing:1 keeps:2 most:2 nothing:1 probabilistic:8 class:5 observation:5 considered:2 clear:1 sometimes:1 request:1 physica:1 countable:1 feynman:1 rev:1 principle:3 mechanical:2 physics:3 notion:1 fact:4 shor:1 simulate:3 show:1 random:2 halting:26 spaces:1 relation:1 keywords:1 imagined:1 find:2 d1:8 postulates:1 computability:1 based:3 just:2 spite:1 original:2 excessively:1 should:5 terminal:3 only:13 going:1 tape:27 indeed:2 bernstein:6 pointed:2 dj:1 template:1 notation:1 means:4 familiar:1 cannot:1 closely:1 combinations:1 during:2 evolution:6 transitional:1 things:1 arxiv:1 circuits:1 qc:3 inactive:2 qi:6 qh:20 view:3 moduli:1 set:4 computed:1 observer:1 physically:1 j1:3 observed:4 differs:1 depends:2 individual:1 result:4 qtm:28 said:1 tensor:1 review:1 label:1 initially:1 state:37 proof:2 correctly:1 between:5 reading:1 preserve:1 externally:1 unobserved:1 nature:1 importance:1 comp:1 however:7 distinguish:1 configuration:3 problem:3 both:4 essentially:1 last:2 many:5 taking:1 equal:1 connection:1 unisa:4 context:1 logic:2 distinction:1 qubit:8 argue:1 whole:1 finds:1 arbitrarily:1 mechanics:1 ci:3 relevant:1 point:3 simple:5 seems:2 period:1 represented:1 ψi:1 simply:6 church:1 polynomial:1 indefinite:2 considers:2 described:12 basis:7 px:1 three:1 been:15 johannes:1 much:2 far:3 goes:2 basic:6 applying:1 ph:3 po:1 define:2 wants:1 direction:1 corresponding:8 observable:1 sufficient:1 formed:5 subspace:2 observe:2 c2:11 c1:11 denote:1 those:2 applied:2 explicitly:1 value:1 formedness:2 will:13 while:1 suppose:2 theoretical:1 di:1 procedure:1 real:2 unitary:15 examines:1 century:1 vol:1 thus:1 them:1 iv:1 ii:2 itself:3 greater:3 binary:2 different:1 thereby:1 perhaps:2 alphabet:1 same:10 clearly:4 member:1 read:5 another:2 complex:2 quant:3 finite:18 events:1 φn:3 smallest:1 used:3 see:2 ion:1 running:4 uses:2 delicate:1 infinite:2 php:1 contribution:1 identity:1 off:3 undefined:2 scenario:5 fully:2 well:11 roughly:1 obviously:3 without:6 impediment:1 position:10 model:4 left:3 unitarily:1 proposed:3 among:2 being:4 hybrid:1 obtain:1 rest:2 unary:1 underlying:1 identify:1 ozawa:9 using:3 paul:1 bit:31 previous:2 letting:1 presumption:1 enters:3 unable:1 ny:2 had:5 except:2 desktop:2 reasons:2 add:1 valid:5 lett:1 theorem:1 input:20 prominent:1 eigenstate:1 useless:1 identical:4 putative:2 rules:8 results:2 possible:7 spanned:3 corresponds:1 possibly:7 quest:1 presume:1 immediately:3 ams:1 projects:1 formal:1 loss:1 theor:1 necessary:1 like:1 envisioned:1 follows:5 manual:1 specific:7 continue:1 steps:15 either:4 contradict:1 output:12 works:1 essential:2 mathematical:1 right:2 often:2 classical:21 some:9 understood:1 proper:1 provided:2 throughout:1 describing:1 lead:1 decision:2 stops:2 everything:1 does:2 exposition:1 unit:1 provides:1 assuming:1 indication:2 proc:1 preceding:1 refer:1 measuring:4 run:5 power:1 reaching:1 equivalent:2 arbitrary:1 perpendicular:4 step:13 although:1 become:1 hilbert:3 takes:3 about:1 actual:1 constraint:1 interfering:1 triviality:1 discussed:2 meaning:1 simulation:1 mutually:1 range:1 ensure:1 positive:1 introduced:1 slightly:1 other:4 accessible:1 raised:2 computational:1 letters:2 unbounded:1 into:4 within:1 device:10 perturbing:1 because:6 references:1 determine:1 operator:20 intervention:1 span:1 deal:1 normalised:3 assumed:4 danos:7 there:16 transform:1 specifically:1 why:5 start:2 describes:2 quanta:1 inner:2 way:5 perform:1 was:4 function:3 head:14 complete:1 form:4 collapsed:1 regard:1 but:12 hi:1 true:2 he:1 reset:1 physicality:2 compute:2 whether:4 cells:1 up:2 devices:3 tell:2 below:1 limit:1 sum:4 distribution:5 similar:1 called:3 willem:1 ac:3 associated:2 ad:1 computing:7 defined:4 certain:2 universal:16 measure:2 general:2 single:6 moves:1 quantph:1 defines:1 again:1 functions:4 us:1 no:14 objection:2 whereas:3 when:7 detail:1 nx:3 application:3 interested:1 coded:1 branch:1 department:4 really:1 conclusion:2 explaining:1 stat:1 apparent:1 superposition:16 models:1 symbol:2 prepared:1 chance:1 important:2 serious:1 variable:1 feasible:1 jones:1 potgieter:1 implies:1 longer:2 assume:4 odds:1 required:1 rule:15 having:4 impossibility:1 hungarica:1 presenting:1 time:6 n0:5 n1:5 n2:2 starting:2 strings:2 once:1
|
0705.3079.txt |@word sector:5 measurements:4 consider:2 limited:1 2m2a:1 fa0:9 vpb:1 results:11 four:13 c3:1 scalar:39 generalize:2 controversial:1 types:1 follow:1 expressions:7 preferable:1 contributions:13 replacements:5 depend:2 dong:1 c6:2 charles:1 charge:2 those:3 under:2 eiφa:1 indicating:1 divergent:1 case:5 kρ:2 kπ:4 amplitudes:18 straightforward:1 parameterize:1 very:3 soni:1 assuming:1 keeping:1 wave:1 endpoint:6 summarized:4 mixing:8 experimentally:7 continued:1 expectations:1 encounter:1 m2f0:5 mcneile:1 level:5 did:1 ρf:2 michael:1 md:2 large:5 vector:13 2m2s:1 small:5 commented:1 upper:2 smaller:5 compensated:1 consistent:1 prediction:1 sign:2 imply:1 evaluated:4 nceff:3 chen:2 odd:3 even:4 established:1 what:2 errors:5 rate:2 sum:5 abk:5 http:2 near:1 shares:1 current:5 experiment:4 above:5 method:4 contrast:3 body:1 christian:1 f0s:1 ibid:2 exchange:2 respectively:12 component:4 residual:1 here:3 bi:5 following:1 mev:19 china:2 ratio:4 quark:34 equations:1 appears:2 extreme:1 obtained:8 search:1 ba0:1 institute:1 involved:2 study:5 studied:7 stressed:3 geng:1 suitable:1 qcdf:2 via:1 followed:1 although:1 scales:1 vpq:1 bs:3 api:2 gluon:2 ifv:3 αm:6 apply:2 m2φ:2 meson:31 αv1:2 readily:1 use:15 proceed:1 remains:1 positive:1 contains:3 predictions:2 f0d:3 scenarios:2 process:1 nucl:5 m1:54 therefore:4 qcd:14 taken:5 combines:1 theoretical:7 more:3 formally:1 ap2:1 ap3:1 naive:4 ap1:1 ap6:36 emission:9 ap4:28 appendix:3 basically:1 lcda:6 charged:2 known:2 iii:6 must:1 ρa:4 involve:1 account:3 παs:1 mc:2 mb:67 science:1 equation:1 work:9 modified:1 mu:2 mv:6 values:5 ms:8 believed:1 b1s:2 example:6 φm1:4 initial:1 f0:117 f1:15 compare:1 renormalization:1 do:1 calculation:1 relativistic:1 purposes:1 dependence:2 states:10 indicates:1 satisfactory:1 bk0:6 performed:1 council:1 allowed:1 legendre:1 absolute:1 dominant:1 information:2 needs:4 lcdas:6 provide:1 means:1 m2ω:4 parameter:2 sin:3 fp:1 inputs:1 fr:1 fs:16 description:1 fv:13 may:4 containing:1 factored:3 diagram:2 corrections:11 fb:24 explored:2 horizontal:1 destructive:4 data:5 suppl:2 constants:14 short:2 effective:5 light:13 sp:3 explicit:1 sv:28 parameterized:1 discussing:1 ones:2 so:1 suggest:1 definitions:2 order:13 af2:2 af3:8 nonstrange:3 a00:29 mainly:1 produced:1 paper:1 through:1 ckm:1 signs:1 mentioned:1 y2:3 before:1 destructively:2 longitudinal:3 decay:38 ln:3 interesting:1 masses:4 vicinity:1 conjugation:1 li:2 absence:2 fig:2 ours:1 main:4 eur:1 versus:1 them:6 motivated:2 combination:1 practice:2 introduce:1 ff0:6 p10:2 framework:4 effects:2 they:10 front:2 bigger:1 nos:1 term:4 gets:1 ifs:2 always:2 university:1 presented:2 2x:6 2y:2 dominance:1 factorizable:8 fρ:15 2f:12 fσ:1 mode:7 fφ:4 found:10 bona:1 characterized:2 heavy:2 aubert:5 chung:2 simplicity:1 hadronic:4 hard:10 related:1 recapitulate:1 involves:1 decays:24 isospin:1 measurement:4 substantially:3 our:7 ew:51 transitions:4 eq:19 special:1 out:5 shown:4 superscripts:2 matrix:1 factors:15 m2v:1 since:6 interference:4 m2s:2 content:4 φa:3 dominated:5 dxdy:1 m2k:6 induced:5 m2b:5 shows:1 mρ:1 theory:3 interactions:4 favored:1 divergence:3 differ:1 quite:2 reason:1 in2p3:1 put:1 estimate:2 godfrey:1 interaction:1 fa:1 sinica:1 could:3 transition:3 v2:1 ath:1 motion:1 zwicky:1 hence:6 assign:1 first:7 abρ:12 xh:3 already:1 mω:1 symmetry:1 jhep:1 nc2:4 xa:15 number:1 channels:11 xy:8 simplified:1 least:1 directly:1 fv2:2 2fs:1 antiquark:1 given:4 fk:8 checked:1 2fv:1 their:6 introduction:1 unknown:2 eqs:1 beneke:3 adopted:1 ckmfitter:2 needed:1 2fa:1 rates:18 too:3 calculations:2 convention:1 2fk:6 scheme:2 final:3 way:1 draper:1 lass:2 subleading:1 transverse:2 buchalla:1 employ:1 φss:7 somewhat:1 authors:1 x2:4 than:18 coefficients:6 cheng:4 connections:1 third:1 lying:4 tree:3 second:2 expt:2 annihilation:14 determined:1 contrary:3 amplitude:10 bauer:3 bes:2 treated:1 ρa0:9 lowest:4 troublesome:1 close:1 horv:1 m2a0:2 correspond:2 manner:1 systematical:1 need:3 kunihiro:1 relatively:1 lie:1 wilson:5 angle:6 wirbel:3 describe:1 convenient:1 latter:4 responsible:1 severe:1 note:5 liu:1 ideal:1 k0:51 generalized:2 timelike:1 band:1 channel:1 subscripts:1 b3:76 components:3 shall:12 collaboration:8 reach:1 phases:1 most:3 involving:1 retaining:1 analytically:1 measured:1 abv:4 branching:18 lee:2 χs:4 observation:6 sizable:1 considered:1 calculated:3 adopt:1 implications:1 af1:1 yang:3 ohta:1 superscript:2 physics:2 fact:2 quantity:1 precise:1 belle:2 burch:1 clarified:1 show:1 text:1 supported:1 roma1:1 purely:2 colors:1 wolfenstein:1 relation:1 nonfactorizable:4 indicate:3 ground:1 q1:3 rev:21 q2:7 layout:1 parameters:6 charmless:5 specified:2 should:3 being:4 only:4 3µs:2 factor:9 various:3 fq0:1 pointed:1 ip:1 2ms:2 2mv:3 gev:31 distance:2 dependent:3 dd:2 express:2 expectation:5 cannot:2 dx:1 zhu:1 conjunction:1 bardeen:1 neubert:2 garmash:1 bar:1 conditions:1 arxiv:2 factorization:12 90o:2 default:1 penguins:1 predicted:17 though:3 contain:1 including:1 favoring:1 gegenbauer:8 exists:1 physically:1 national:1 testing:1 notice:1 relative:4 argued:1 see:12 αpi:1 sec:5 result:1 enhanced:3 discussions:3 recently:4 isovector:1 bk:4 flavor:2 analog:1 subject:1 collinear:2 αs:2 still:1 qµ:4 review:1 consequence:1 µs:11 favor:2 state:9 future:1 identification:1 µh:1 between:8 ablikim:1 αk:4 babar:7 approach:6 comparable:3 emitted:2 terms:10 nature:6 distinct:1 attention:1 weak:8 however:7 vanishing:1 group:2 suppressed:3 cos:3 parentheses:1 improved:1 limits:3 region:5 conclusions:2 sensitive:1 receives:2 0k:1 contribution:4 expression:3 0o:2 experimental:14 ci:5 relevant:2 cn:1 cm:3 2nc:1 cf:10 except:2 simply:1 confirmed:1 consideration:1 polynomial:1 table:8 pseudoscalar:1 pqcd:1 complication:1 strong:2 described:2 mathur:1 fu0:6 lattice:1 ai1:10 due:6 been:10 ai2:5 pb:1 ai:6 yao:1 much:5 treat:1 expected:4 ph:7 pi:2 pn:2 define:1 arises:1 corresponding:6 chua:3 chun:1 quantities:7 else:1 c9:1 c8:2 vµ:2 6x:5 c2:1 c1:1 denote:1 c7:1 former:4 present:3 c4:1 applied:2 dξ:2 gockeler:1 predominately:2 bρ:1 p4:2 value:4 will:14 while:9 replaced:2 napolitano:1 error:1 ensuing:1 fd0:1 larger:11 ωk:2 spacelike:2 phenomenological:2 vi:7 thus:2 discrepancy:2 iv:4 ii:9 reads:3 cone:4 claimed:1 mod:1 vanish:1 acknowledgments:1 different:2 φs:16 φv:23 grant:1 wang:2 pay:1 make:3 lett:6 same:8 rules:1 φb:2 strange:6 isoscalars:1 widely:1 uncertainty:1 units:1 finite:4 φm:3 difficult:3 independent:3 ball:2 updated:3 assignment:3 published:1 av1:1 counterparts:2 running:3 3iπ:6 kim:1 invariance:1 yuan:1 passing:1 normalization:2 recent:2 prelovsek:1 lower:2 modes:19 scenario:10 pµ:5 hwang:1 well:1 analysis:1 theses:2 academia:1 c5:1 taipei:1 spectator:11 fk0:9 quantitative:1 model:7 arising:2 favors:1 posses:1 λp:11 just:2 less:1 moments:6 generally:1 ρk0:5 obtain:7 valuable:1 detail:1 underlying:2 am1:1 taiwan:2 λh:2 scattering:1 compared:3 previous:2 hai:1 hint:2 parametrization:3 evidences:1 reasons:1 m2ρ:8 treatment:1 easy:1 input:4 c10:1 operators:5 excited:2 momentum:3 take:1 real:1 explained:1 depends:1 read:3 evaluate:1 possible:1 corresponds:1 mf0:2 180o:2 ωk0:2 helicity:1 appendices:1 µf0:3 using:6 part:1 apart:1 anticipation:1 appearing:1 particle:1 systematically:1 follows:3 δu:3 alexandru:1 specific:1 rχ:11 either:1 arbitrary:1 δf:1 conclusion:1 soft:2 essential:1 fv1:2 replacement:2 parity:2 exceed:1 because:3 namely:2 shen:2 some:2 back:1 infn:1 b4:22 understood:1 b0:1 b1:19 b2:17 respect:1 a11:1 fπ:1 scale:7 2xa:2 resonances:1 quarks:6 mesons:27 sachrajda:1 does:1 provides:1 o8:2 kwei:1 o6:2 proc:2 refer:1 constructively:1 bf:2 ba:2 power:5 rohrer:1 bm:3 φm2:2 conventional:4 constructive:2 bv:1 bp:2 ratios:15 accommodated:6 asymptotic:1 about:1 central:6 cn3:1 weingarten:1 based:2 discussed:3 qmax:2 o:1 pν:1 trustworthy:1 covariant:2 a2:15 chou:1 ndr:1 2iπ:4 contractions:1 a7:22 reinforce:1 δup:45 into:5 within:7 numerically:1 bound:4 three:1 accommodate:1 a9:11 appropriate:1 ai3:7 determine:3 proportional:2 theoretically:2 uncertainties:4 hep:7 additional:6 elastic:1 pc:47 assumed:4 there:4 specifically:1 noticed:1 width:1 accordingly:1 conservation:1 fraction:2 was:3 ρk:3 function:3 jones:2 elsewhere:1 form:21 zhang:1 m2:63 but:2 reminds:1 neutral:8 hi:6 aµ:3 true:1 penguin:13 absent:1 made:4 applying:3 places:1 uu:1 up:1 us:2 ma0:5 kk:2 below:3 owing:4 limit:4 mk0:6 distribution:6 similar:4 clear:1 ωf:1 required:1 constant:11 sight:1 defined:6 likewise:1 abstract:1 contribute:4 general:5 twist:12 exist:1 governed:1 research:1 pip:1 dη:2 check:2 physical:1 ni:4 functions:1 beyond:1 utfit:2 hart:1 nc:11 when:3 vanishes:3 fs0:3 scalars:3 ornqvist:2 other:5 republic:2 details:2 becomes:3 department:1 ap0:2 nice:1 picture:2 briefly:1 elements:1 gf:26 a10:3 a13:2 fω:7 vertex:7 polynomials:3 a1:18 a0:97 a3:14 important:2 a5:9 a4:8 suppression:1 a6:9 included:1 a8:7 spanier:1 structure:6 a12:1 stech:3 pion:2 assume:2 sigma:1 divergences:4 rather:1 rule:4 dρ:2 ωa0:4 mass:4 fitted:1 serious:1
|
0705.3081.txt |@word limited:2 code:12 remarkable:1 secondly:1 results:3 four:4 gb:1 computation:3 go:1 denotes:1 causes:1 nested:1 amplification:8 lasers:1 environment:1 finally:1 tanaka:3 γl:2 stochastic:2 sent:2 string:6 advantage:1 very:1 p0i:1 splitting:1 worst:1 lecture:2 affect:1 bottleneck:1 condition:1 school:1 modulator:2 transmission:4 notes:2 eve:9 standards:1 try:1 ml:4 small:6 rk:1 optics:1 ρk:1 hasegawa:1 carter:1 direct:1 demonstrations:1 rate:23 value:2 chen:1 further:2 leakage:1 substitute:1 even:2 will:2 what:1 errors:8 appear:1 apparatus:1 clock:1 sum:4 nec:3 expressed:1 decoding:6 current:1 krawczyk:1 experiment:15 above:1 utkenhaus:3 shared:1 method:7 q1:1 processing:2 hash:1 submitted:1 ibid:1 respectively:3 doing:1 promising:1 here:4 reported:2 others:1 ratio:1 obtained:1 sending:4 difficulty:1 institute:1 involved:2 larger:1 amount:1 resulting:1 permutation:4 harrington:1 bob:11 numerical:1 emerge:1 via:5 secure:5 rosenberg:1 pentium:1 merely:1 replace:1 masahito:1 total:3 estimate:1 use:4 asymptotic:3 working:1 commun:2 probabilities:1 positive:1 contains:1 arms:1 france:1 3ghz:1 therefore:2 memory:1 more:4 sharing:4 successful:1 becomes:1 under:4 degrade:1 µni:1 cases:1 must:6 keeping:3 ma:3 tokyo:3 ρi:1 science:6 originally:2 ρl:2 attacks:3 zhao:1 values:4 following:3 trans:1 unconditional:5 numbers:15 control:1 claim:1 compare:1 wang:1 akihiro:1 give:1 nanoelectronics:1 choice:2 bennett:2 share:1 dependence:2 states:5 performed:5 times:1 occur:1 information:10 respective:1 end:1 hoc:1 sidney:1 discussion:1 means:1 feature:1 far:1 optimal:3 parameter:1 brassard:3 product:2 communicating:1 may:3 max:1 office:1 after:3 demanding:1 gottesman:2 cambridge:1 fi:1 wave:1 parallel:1 si0:1 light:4 bunkyo:2 inform:1 si:2 inal:6 negligible:2 fundamental:1 cpu:1 inamori:1 operations:1 ith:3 telecom:2 hiroshi:1 trade:1 performance:4 paper:1 including:4 statistical:5 japan:5 satisfies:1 still:1 ieee:5 its:3 before:1 perfect:1 thank:1 erato:1 lo:2 fix:2 cryptology:3 actually:1 better:1 estimating:1 detected:2 choose:1 fij:1 maximal:1 them:3 thereby:1 propose:2 largest:1 30th:1 fig:5 framework:1 they:5 focus:1 employed:2 now:2 discuss:1 represents:1 finite:12 fully:1 university:1 crypto:2 did:1 stockholm:1 each:5 european:2 side:1 mean:2 ei:6 generation:24 hypergeometric:1 idea:1 interferometer:1 expect:1 favorable:1 measurement:1 quantum:14 our:18 beyond:1 extract:1 shannon:1 out:1 maximizes:1 large:8 shown:1 matrix:3 timeconsuming:1 furthermore:2 since:3 rev:16 research:4 modulation:1 seriously:1 safety:1 performs:1 zehnder:2 denoted:5 formula:1 cause:1 she:1 inevitably:1 fiber:4 log2:4 theory:1 quite:1 clarify:1 carried:1 york:2 put:1 detecting:1 e6:2 likelihood:1 generate:1 e3:2 advance:1 r1:2 could:1 computers:1 keep:1 length:14 incorporated:1 neglect:1 first:1 probability:13 variables:1 coding:9 number:14 qkd:18 randomized:2 improvements:1 done:2 specifically:1 directly:1 size:17 huttner:1 given:3 long:1 guaranteeing:1 privacy:8 eqs:1 attenuated:1 system:8 least:2 their:2 attack:1 appl:3 rates:6 listed:1 white:1 bits:19 final:19 too:4 shifted:1 imperfect:1 option:1 continuous:1 took:4 assumption:1 optical:13 pulse:8 authors:1 x2:1 than:7 achieves:1 showed:1 summary:1 namely:1 distill:2 project:2 nakahara:1 sweden:1 determined:1 intensities:9 unconditionally:3 mackey:1 exp:1 india:1 treated:1 comput:1 fluctuation:1 correction:7 argument:1 randomly:4 raw:3 manner:1 conjugate:1 demonstration:1 any:3 elsewhere:1 eq:3 smallest:2 agency:1 polarization:1 sciences:1 18th:1 best:2 sharpe:1 so:9 detector:3 mit:1 channel:9 play:3 nq1:1 advances:2 reconciliation:1 jun:1 systems:1 harmful:1 most:5 optimized:1 connected:1 phase:6 measured:1 mach:2 observation:1 considered:1 average:2 adopt:1 drive:1 km:4 proceedings:3 ku:3 fact:1 laws:1 hi0:3 incorporate:1 shor:1 simultaneously:1 detection:1 random:21 readjustment:1 wegman:1 relation:1 solutions:2 electro:1 slot:4 q0:1 based:3 just:1 parameters:10 heavily:1 written:1 only:2 bases:6 developed:1 emitting:1 achieve:1 exchanged:1 do:1 correctly:1 cryptography:1 albeit:1 dependent:1 dd:1 overall:1 cannot:1 dx:1 international:2 report:2 acm:1 processes:1 µ2l:1 arxiv:1 public:3 experiments:1 common:9 contain:2 pulses:24 qk:1 setup:1 nη:2 set:5 computed:3 achieved:3 national:1 observed:3 intensity:7 computer:4 sec:4 us:3 terms:1 incorporating:3 µm:1 µl:4 state:27 µn:1 µi:2 jth:5 µk:2 contrary:1 justified:1 conditions:1 shields:2 µc:1 available:3 never:1 recently:1 ability:2 qubits:1 emitted:1 weak:1 however:6 key:43 fluctuations:3 distinguish:1 received:5 cos:1 improved:6 reverse:1 many:1 annual:1 according:1 against:1 chosen:2 dated:1 variance:1 contribution:1 estimation:3 whole:1 experimental:4 otherwise:1 among:1 ci:9 point:1 simple:1 asymptotically:3 sequences:1 table:3 lithium:1 conference:2 ei0:12 consuming:1 described:1 second:2 basis:17 addition:1 due:5 been:1 pc:1 secret:9 much:1 pd:6 expected:2 ph:5 pi:5 meeting:1 define:2 generating:1 imai:1 quantities:4 sufficient:1 photon:5 new:3 hayashi:3 coherent:4 determination:1 those:2 case:4 p0:1 kimura:1 laser:2 pacs:1 bb84:4 evaluated:1 employ:1 universal2:1 while:4 optimization:1 suppose:1 error:19 jpn:1 almost:2 characteristics:1 chau:1 thus:3 hardware:1 ai0:1 dual:1 technology:4 inf:1 different:10 combination:1 multiphoton:2 perform:2 decoy:16 lett:11 same:2 shifts:2 quant:5 arguments:2 distilled:1 distillation:1 several:4 events:1 higher:1 development:1 used:15 keys:3 i0:13 published:1 hand:1 running:1 yuan:2 gallager:1 normalization:1 task:1 off:1 scenario:1 hwang:2 substantially:1 well:2 32nd:1 analysis:2 without:1 firstly:3 laboratories:2 countermeasure:1 left:1 distances:1 stringent:1 protocol:11 aborted:2 proposed:3 less:5 being:2 ldpc:4 obtain:3 sources:1 adjustable:2 hongo:3 alternative:1 mmax:5 generator:1 density:1 guaranteed:4 setting:2 treatment:1 remaining:1 resolved:1 australia:1 around:6 checking:1 evaluate:1 possible:3 dark:3 were:7 vacuum:8 press:1 using:2 bit:16 correcting:3 mod:1 like:1 follows:2 signal:3 schmitt:1 alice:10 separately:1 bps:6 mhz:1 output:1 security:10 kawasaki:1 reduced:2 preskill:2 parity:1 because:2 classical:3 sequence:4 sends:2 successfully:1 some:4 back:1 platforms:1 convex:1 discarded:1 tsukuba:1 sufficiently:1 affects:1 ones:1 per:1 14th:1 does:1 provides:2 yields:1 demonstrated:1 process:1 noise:1 obey:1 equips:1 seconds:1 q2k:1 bi:1 mayers:2 step:1 although:4 become:1 bangalore:1 subtract:1 plug:3 about:1 would:6 eavesdropper:4 discussed:1 chance:1 o:3 practical:3 important:1 ensure:2 2k:8 other:1 block:1 converging:1 computational:1 eint:1 previously:1 communication:4 into:1 within:1 three:2 device:1 right:1 parties:1 proportional:3 reducing:2 rounds:1 a3:2 statistics:4 log:2 prepare:1 few:2 support:1 there:2 approximate:1 lol:1 thirdly:1 ci0:1 low:2 was:21 gij:2 toeplitz:2 function:2 complete:1 enough:2 peng:1 gz:2 but:4 hk:1 hi:3 decodes:1 ha:1 count:3 full:1 society:1 conf:2 maximum:1 devices:1 eout:1 limit:2 ωl:1 demonstrate:1 distribution:4 gisin:1 mechanics:1 instead:1 pij:3 constant:1 ad:1 ai:3 describe:1 influence:1 µi0:2 single:2 unidirectional:1 wavelength:1 unsuccessful:1 distributions:1 check:11 physical:4 again:1 mutual:4 no:1 corporation:2 whereas:1 malicious:1 when:4 detail:1 nict:1 graduate:1 niobate:1 acknowledgments:1 valid:1 department:1 briefly:1 generates:1 a1:2 a0:2 generated:3 a2:2 a5:2 a4:2 a6:2 variable:1 needed:1 building:1 longer:2 assume:1 tricks:1 original:3 portion:1 time:10 qualitatively:1 requires:2 strings:1
|
0705.3082.txt |@word consider:2 rev:7 focus:1 leads:1 edu:2 expressions:1 dism:1 gi:1 certainly:1 calculate:2 show:1 compensate:1 under:1 amplitudes:1 g1:1 zhang:4 very:4 soni:1 results:1 p4:1 presented:1 guo:1 large:1 vector:1 small:1 postdoctoral:1 upper:1 foundation:2 direct:1 zero:1 enhancement:8 plays:2 section:2 abs:4 above:3 contributes:1 acknowledgments:1 exchange:1 respectively:1 mev:15 china:3 address:2 strong:1 clarification:1 lipkin:4 weinstein:1 study:1 suggestion:1 resonance:1 technique:1 useful:2 pβ2:1 meson:2 m2ρ:2 use:1 d71:1 would:1 only:2 few:1 depicted:1 λqcd:2 taken:1 theoretical:1 reflects:1 more:1 becomes:3 iii:2 high:1 account:1 ma:1 science:2 work:3 mi:7 mk:4 zhao:3 values:3 mx:1 beijing:1 wang:2 calculation:1 organized:1 states:4 chin:1 numbers:1 end:1 rather:1 discussion:1 s0:1 revisit:1 far:2 parameter:3 pennington:1 derived:1 explored:1 data:3 constants:1 short:1 natural:1 effective:1 su:1 used:1 bugg:1 order:2 gµν:2 typical:4 produced:1 paper:1 through:4 still:1 its:3 derive:1 lb:1 thank:1 decay:8 2e2:2 2e1:2 li:2 fig:9 hidden:1 cusp:1 motivated:2 introduce:1 process:1 cutting:1 effects:1 they:1 february:1 university:1 level:1 peking:1 found:1 mental:1 related:1 decays:3 obtains:1 measurement:1 quantum:1 our:5 out:1 shown:3 m2x:1 factors:1 since:3 interference:1 denotes:2 m2i:2 m2k:1 ref:4 occurs:1 shows:1 dispersive:8 mρ:3 approaches:1 hep:5 interaction:6 could:2 tetraquark:1 v2:3 diquark:1 produce:1 hence:1 xiang:1 ding:1 symmetry:1 ignored:1 number:2 electronic:2 1q:1 introduction:1 intermediate:4 molecular:1 final:3 shell:1 part:6 than:4 cheng:1 distance:1 karliner:1 tree:1 project:1 future:1 amplitude:5 bes:3 bridge:1 spectrum:4 exchanging:1 orders:1 lie:1 wilson:1 lin:1 mechanism:1 note:1 liu:3 k0:1 take:1 gρ:4 channel:5 collaboration:2 mimics:1 charm:1 pair:2 extremely:1 branching:5 observation:1 considered:1 adopt:1 vertices:1 exp:1 physics:1 pku:2 supported:1 relation:1 d3:4 d0:1 ratio:6 parameters:2 state:5 antidiquark:1 factor:5 meng:2 exchanged:2 dominant:1 gev:7 syst:2 report:1 ig2:1 ds:1 fields:1 arxiv:5 investigate:1 shi:1 explanations:1 2p1:2 enhances:1 2p2:2 exists:2 frame:1 v1µ:2 observed:2 radius:1 result:2 discussions:1 close:3 written:1 between:3 invariant:1 experi:1 recently:2 opening:2 ascribed:1 however:3 huang:1 group:1 pµ2:1 both:1 cou:1 etc:1 dated:1 contribution:10 whole:1 experimental:2 cn:2 point:1 lagrangians:1 steele:1 grants:1 maltman:1 throughout:1 pseudoscalar:1 pr:1 three:1 yao:1 yan:1 ph:5 pi:1 arises:2 chua:1 c1:1 former:1 p2:10 p3:1 p1:12 exponential:1 pacs:1 value:1 will:2 phenomenological:2 vi:1 ii:2 ih:2 itself:1 different:1 barnes:1 same:4 clearly:1 gφk:2 unity:2 several:3 composition:1 investigated:1 v2µ:1 assignment:1 numerical:1 effect:9 possible:1 phy:1 v3:1 unpublished:1 ablikim:1 off:2 modes:1 expression:1 roughly:1 less:2 obtain:1 rest:1 cutkosky:1 previous:1 adding:1 cut:1 candidate:1 isgur:1 potential:1 lett:9 momentum:1 zou:3 psi:1 around:9 absorptive:6 department:1 increases:1 using:4 helpful:1 particle:1 follows:1 signal:1 manifest:1 because:1 shen:2 broad:5 mesons:2 prof:1 v2α:1 bo:1 v2ν:3 although:2 locher:1 imaginary:1 besiii:1 hadron:1 pβ:1 about:2 pα:2 discussed:1 dependence:5 o:1 pν:2 range:2 importantly:1 cutoff:1 into:1 bound:1 national:1 statistics:1 lv1:3 additional:1 there:3 nucl:2 noticed:1 dispersion:1 width:8 inner:1 was:3 form:5 jun:1 overlapping:1 coupling:2 zhu:3 whether:3 kk:1 limit:2 monopole:1 similar:3 ab:1 v1ν:4 chao:2 denote:2 formulation:2 formalism:1 qα:1 qβ:1 nn:1 no:2 vanishes:1 valid:1 role:3 test:2 picture:1 stat:2 zheng:1 variation:1 important:1 structure:1 longer:1 ig1:1 fsi:11 rule:1 mass:10 resonances:1
|
0705.3083.txt |@word limited:9 magnetic:1 desirable:4 four:6 consists:2 localized:10 whose:3 flannery:1 cmbfast:2 γp:8 investigation:1 under:3 γa:5 spec:2 divergent:1 alternating:1 downstream:1 rise:2 stipulate:1 replication:1 every:16 figs:3 vast:1 vetterling:1 publicly:1 investigator:1 suffices:1 spacecraft:5 convenience:1 vector:4 math:2 indices:9 venus:1 specially:1 tectonics:1 estimates:28 approximation:18 surrounding:2 second:7 street:1 implemented:2 even:16 errors:2 selected:2 above:10 conduct:1 new:7 net:1 increasing:4 ever:2 med:1 simultaneously:1 lithosphere:1 penultimate:1 here:4 asymmetry:2 represented:3 path:1 δzl:1 logarithmic:6 obtained:3 glm:3 taper:10 study:2 changed:2 stipulates:1 ignoring:1 suitable:1 york:3 topography:6 projection:8 pixelized:3 visibly:2 raphson:3 highly:5 visible:1 achievable:1 schuh:1 total:7 univ:5 unit:5 plot:9 would:4 likelihood:47 negative:5 whereas:5 noting:2 therefore:4 until:3 separated:3 naive:1 hivon:5 curvature:3 mather:2 must:10 me:1 mm:13 ml:16 work:1 ere:1 rssd:1 mp:1 hansen:2 root:1 example:4 indicated:4 give:3 bennett:3 degenerate:1 absolute:2 recovery:1 verify:2 feature:2 firas:1 how:4 adjacent:5 widespread:1 gordon:2 oscillatory:1 regional:1 transforming:4 demanding:1 types:1 greek:1 maintain:1 algorithms:1 ultimate:1 correlation:3 lambda:1 order:14 updates:1 restriction:3 wc1e:1 over:38 vary:1 satisfied:1 london:6 spheroidal:1 satisfies:1 before:7 evans:1 fit:4 highlights:2 exhibits:2 writing:3 better:1 fig:19 hidden:1 versus:13 eventually:1 them:1 combination:5 band:17 effects:1 they:4 represents:3 sensu:1 reasonable:3 each:13 acoustic:1 side:3 bond:4 financial:1 telescope:1 cα:9 series:11 cmb:21 used:13 combining:1 substantially:1 extract:1 array:3 gradient:1 quantify:1 dst:3 angular:29 re:3 newly:1 gov:1 forth:1 rj:26 foundation:2 linear:9 surveys:5 free:2 standard:7 corrects:4 estimate:88 r1:2 r2:3 ata:1 starts:1 cosmic:17 onto:1 daunting:1 features:3 render:3 rank:4 another:2 enumerate:1 illustrate:7 rewritten:1 top:10 µk2:1 approximately:2 needed:4 confirming:1 master:1 observations:4 hypothetical:5 variational:1 ranging:1 jovanovich:1 binned:8 ellipsoidal:1 somewhat:2 perfectly:3 target:20 showed:1 princeton:7 approximations:4 iteration:11 edmonds:5 project:1 matter:5 solomon:1 tion:1 enables:3 extracting:2 seminal:1 rewrite:3 rao:3 spectrum:80 challinor:1 seen:3 seem:1 seek:5 relatively:4 strength:1 academic:1 convenient:5 latter:2 thorough:1 fitting:2 davidson:1 circles:7 shall:23 bst:1 boxcar:19 denominator:1 prohibitive:1 involving:2 calif:2 medical:1 detectors:1 inferred:2 points:4 principle:1 φl:1 section:7 incomplete:1 reserve:1 planetary:10 probl:1 steplike:1 rayleigh:2 random:6 halpern:1 infrared:1 radii:24 radio:1 solutions:2 earth:3 d4:4 d2:9 d3:4 d1:8 coefficients:11 rich:1 do:3 dl:3 dj:4 df:1 dd:1 db:8 dc:2 dahlen:26 dp:8 δφl:1 bar:5 fields:2 tauber:1 twice:2 4πk:1 4πj:1 february:1 depends:6 radius:13 result:23 dµ:6 best:8 subject:1 said:2 draws:1 tensor:1 artificial:1 symmetric:11 tantamount:1 µk:5 simplest:2 seljak:5 drawn:1 approach:1 terms:11 wb:1 nature:1 wl:1 weak:1 however:6 wh:1 ws:5 extent:6 contamination:2 modeling:1 received:1 cos:4 cot:1 cov:18 renders:1 ill:3 uncertainty:6 against:2 mildly:1 hinshaw:8 variance:72 hwang:2 ease:2 con:1 had:1 height:3 polynomial:2 khersonskii:1 basis:53 three:9 been:9 quickly:3 much:3 interest:4 basic:1 lesur:2 basin:1 dots:3 stresses:1 quantities:5 concerning:1 δtt:1 applied:3 reciprocal:2 σxx:2 employ:1 slm:6 suppose:2 applies:1 aid:3 property:1 elaborate:1 procedure:1 cons:1 prolate:1 l85:1 conditioned:4 ii:7 characterize:1 confirmed:1 perform:1 recursion:1 make:3 demands:1 complex:3 viewed:1 advances:2 whitened:4 electro:1 independent:6 satellite:1 peaks:2 numerical:5 l88:1 normalization:2 prescribed:1 fourier:3 equispaced:1 ocean:1 efficient:4 left:16 just:11 newton:3 rotated:1 gravity:7 bandwidth:24 orthonormality:5 identify:1 wahr:2 alum:1 infinitely:1 regarded:4 character:4 boston:1 wright:2 easy:4 disadvantage:1 designate:1 opt:1 usable:2 bands:2 possible:8 caps:30 possibly:1 indicative:1 background:14 replace:4 pixelization:3 advanced:2 apart:2 tapering:1 bpq:5 sparse:1 arbitrary:4 www:2 geophysical:6 ole:1 pl0:1 statistic:1 stot:4 shapes:5 bottom:7 microwave:17 everything:1 periphery:1 yields:6 gsfc:1 bold:1 minimization:4 oscillating:1 substitution:1 losing:1 plm:3 properties:4 proceed:1 banday:2 o:3 ensure:3 slightly:2 considerations:3 soc:5 formerly:1 mantle:1 sol:1 accommodate:1 pair:2 hermitian:1 right:24 reducing:1 methods:6 support:2 initial:4 transform:4 class:1 width:9 fraction:1 was:1 lowest:1 bandlimited:16 form:26 kogut:2 forming:1 idealized:1 taken:1 verde:1 solar:1 removed:1 true:8 analyst:4 versions:1 arrays:1 inside:1 attached:1 maximum:48 complications:1 panels:3 b1:1 zeroes:1 phil:2 moore:1 computing:3 covers:4 nnt:3 commuting:2 fixsen:1 vertical:5 nj:1 nl:70 nn:2 no:16 nb:2 nc:1 when:7 vanishes:1 b9:1 geographically:1 role:1 np:8 ns:1 nt:1 peebles:6 uniformly:1 spectrally:1 award:1 climate:1 variable:2 scharf:2 longer:2 abscissa:6 assume:5 interval:8 together:2 time:8 observables:1 customary:1 remarkable:1 global:3 focus:1 integration:1 comments:1 computation:7 dalton:1 row:8 inverse:21 graph:1 technique:2 rightmost:1 digitization:1 infinitesimally:3 marks:4 analogous:12 advantage:4 orthogonal:3 choice:5 tridiagonal:1 exact:6 cortical:1 riemann:1 altering:1 anisotropy:5 discrete:1 team:2 upper:4 insignificant:1 maximization:1 sign:2 convolved:1 substitute:2 spectral:100 stands:1 mt:24 axes:1 uniform:2 reminiscent:1 nine:1 satisfy:4 subdivided:1 unbaum:2 processing:2 realizations:4 contemplate:1 address:1 alone:1 along:6 weiland:1 earthquake:1 ordinary:1 vectors:3 commonly:4 accomplished:1 tromp:3 domains:1 plotted:3 regardless:5 convolution:1 f2:1 modifying:1 fbb:6 flexibility:1 planck:4 nuffield:1 projector:2 prove:1 positive:5 imφ:1 mse:2 meyer:1 theoretical:7 introducing:2 apparent:1 distribution:5 refrain:2 geophysics:6 virtue:8 acceptably:1 cases:4 easiest:2 valued:2 sphere:105 flp:3 cap:44 longitude:2 labeled:6 values:16 fll:31 following:1 making:7 trans:3 σll:10 grained:7 figure:12 zaldarriaga:6 sense:6 sample:2 weighting:8 stimation:1 spl:2 council:1 spe:1 redness:1 s2:3 s1:2 s0:1 write:7 plus:1 axis:7 parameter:1 product:9 explorer:1 staircase:1 information:1 may:11 sacrifice:3 applications:16 smoot:1 designed:1 representations:1 data:59 σl2:24 natural:3 whenever:3 sr:1 sp:31 explicit:2 cosmology:13 sj:2 switch:1 so:27 sn:3 sl:208 representation:12 superscript:3 wavelengths:16 noteworthy:5 indeed:2 argues:1 experiments:2 statistical:10 cuts:1 cold:1 ieee:2 tendency:1 observational:1 derive:1 thumb:1 curly:1 interesting:2 vicinity:1 forms:1 window:4 mail:1 moskalev:1 non:14 thereby:3 recipes:1 introduce:2 scaling:1 prunet:1 half:3 now:3 discuss:3 nor:4 netterfield:1 down:1 xlm:2 equality:6 crill:1 rendering:1 orthonormal:1 realistic:1 instability:1 cliffs:2 terr:1 em:1 domain:1 square:4 significantly:2 ed:2 revised:1 gaussian:8 astrophysical:1 year:2 ubiquitous:1 approximated:9 gordan:1 eq:137 adequately:3 es:1 er:3 album:1 shown:7 jackson:1 3rd:2 space:4 squared:5 cancels:5 increase:4 cobe:4 contained:3 nominal:1 formula:10 squares:2 correct:2 shows:16 theory:5 governing:4 diagnostic:1 rows:1 advantages:1 bathymetry:1 remainder:2 care:1 derivation:3 widths:2 transition:2 iterative:1 motion:1 undesirable:1 frequent:1 first:21 spergel:3 symmetry:4 omitted:1 variables:1 approximate:8 xx:7 simplified:1 long:2 directly:1 xp:4 open:9 fj:3 affords:2 size:11 given:29 concentrating:1 plank:1 constants:1 realization:1 white:19 speaking:1 gives:4 nonflat:1 way:4 asymmetric:3 continuous:1 eliminates:1 than:28 specify:1 wide:1 analyze:1 thumbnails:1 accordance:3 require:4 were:2 inferring:1 pre:4 san:2 correction:1 argument:7 generalization:1 fortran:1 say:1 usion:1 any:17 computationally:1 unsuitable:2 lecturers:1 note:5 take:2 objective:3 coincide:5 formulas:3 begin:1 multiple:1 inhomogeneity:1 trace:1 opposite:4 decreasing:4 δee:1 insets:1 algebraic:1 detect:1 importantly:1 multiply:2 analytically:2 especially:1 surprising:1 considered:3 average:9 adopt:4 duplication:1 typically:1 quantity:3 slope:1 show:22 bright:1 corner:2 nlm:4 ground:3 ratio:32 written:4 only:28 going:1 black:9 essence:1 gαr:1 legendre:7 viewpoint:3 sst:3 designated:1 expectation:1 truly:1 cannot:3 nearly:8 designates:1 boundary:1 differentiating:1 secondary:1 reading:1 intrinsically:1 supp:1 racah:1 though:1 discussing:1 gα2:1 ignored:1 deconvolution:2 relative:2 namely:12 college:2 uncorrelated:2 fails:1 satisfying:3 eigenfunctions:8 extragalactic:2 review:3 definite:1 boundaries:1 outside:6 john:1 between:14 prentice:2 diagonalized:1 across:1 schuster:2 multiplied:1 useful:5 concentrate:1 jj:3 pixels:8 recall:1 concentrated:14 stages:1 missions:1 tractable:1 many:7 region:61 laplace:1 enabling:3 propagation:1 schott:1 expression:5 comes:1 among:5 jeans:2 period:1 insist:1 sampling:1 walden:4 lagrange:1 associated:14 invert:3 mark:1 likewise:3 harmonics:18 enable:1 6j:3 observe:1 obscuring:1 those:3 case:48 σl:4 chap:2 geodetic:3 ebault:2 colatitude:2 pertain:1 unsatisfactory:1 coupled:1 uncor:1 discrepancy:2 eigensolutions:1 bias:32 motivated:1 different:16 verified:1 etc:1 distributions:2 same:13 thinning:1 lite:1 heart:1 physical:1 extended:1 singapore:1 disadvantages:2 meteorological:1 dimple:1 dotted:1 framework:1 minimize:3 roughly:6 without:4 solve:1 model:2 dimension:2 being:3 generally:5 axisymmetry:1 ne:1 summed:1 univariate:1 sampled:2 grounded:1 grouped:1 except:4 instrument:1 samples:2 δpp:1 extensive:3 momentum:2 real:5 eigenfunction:2 2u:4 rules:3 decomposed:2 sums:12 dark:2 mon:3 acronyms:1 confined:5 using:29 englewood:2 zll:9 reduces:11 benefit:1 grants:1 either:9 integrals:3 characterizes:1 multiplicative:1 wbl:15 stationary:2 reduced:5 beltrami:1 specifies:1 specified:6 provided:3 variates:1 perverse:1 confirm:1 ddt:1 critical:3 decomposition:1 provides:1 moderate:4 refer:1 biased:4 scientific:3 power:52 asterisk:1 equivalent:5 wavefunctions:1 duals:1 ratios:1 comparison:2 conducting:1 oh:5 practical:1 mutually:1 bertschinger:1 estimator:27 mean:9 skew:1 cambridge:4 ηl:7 numerically:8 blessed:1 accounts:2 determine:3 elementary:2 reinecke:1 fast:2 log:1 area:25 assumed:5 strictly:8 there:12 gower:1 myths:1 start:1 low:1 kosowsky:3 energy:1 complete:1 enough:1 regard:1 elimination:1 bandwidths:10 dω:32 nearest:1 ωc:2 monopole:6 multiplications:1 detailed:1 taylor:2 momentarily:1 certain:1 general:10 planets:2 again:2 completeness:1 ideally:2 antenna:1 storage:2 field:2 narrowing:1 valid:6 remarks:1 spatial:25 mathematics:1 polar:34 briefly:1 symbol:5 inaccuracy:1 arcmin:1 a2:10 bounded:1 peak:1 coverage:18 tackle:1 cpl:11 shafer:1 mask:2 mass:3 resembles:1 starting:2 original:2 represent:2 sci:1 consider:7 unweighted:1 scalar:3 maxima:1 follow:1 expressions:6 research:1 duplicated:1 griffin:1 referring:1 tt:1 equivalence:2 tr:69 ts:1 program:1 th:2 stochastic:2 norm:1 mpc:1 straightforward:3 very:5 frederik:19 difference:3 strang:4 fad:2 sans:2 accompanying:1 evaluation:1 applicable:2 t0:2 large:40 small:21 anal:1 zero:10 design:1 further:1 wmap:10 what:3 nonlinear:1 advantageous:1 brackets:3 sum:14 localization:1 orski:8 succinct:3 fractional:1 method:35 contrast:1 edited:2 full:3 component:2 ranges:1 cylindrical:1 mckenzie:2 situation:1 strong:7 equations:2 wieczorek:10 colored:14 leveling:1 geophys:10 allows:1 prior:1 amount:2 δqq:2 narrow:4 quotient:2 via:5 requiring:5 limon:1 spawned:1 select:1 readily:1 conventional:3 takes:2 finally:2 comparing:1 monotonically:1 aperture:2 spectrophotometer:1 more:23 thus:7 operators:2 corrected:1 emission:1 unstable:1 particular:5 known:7 kll:51 science:6 equation:4 det:3 klp:1 f1:1 compare:3 cosmological:10 stated:1 doi:5 accept:1 unbiased:15 minimum:19 numbers:6 arise:3 ginn:1 νj:2 terrestrial:2 influenced:3 recursive:2 rather:11 utilize:1 maps:5 occasionally:1 ensemble:3 fp:1 galactic:3 intended:1 algebra:1 inflationary:2 wiley:1 derived:5 mapping:1 connectivity:3 catalog:1 plane:2 ff:2 waves:1 develop:1 horizontal:4 fl:8 response:1 spectra:14 manipulated:1 fundamental:3 rounded:1 developed:2 mission:1 trade:4 held:2 paper:10 through:3 signs:1 its:16 rapidly:1 solving:1 coarser:2 actually:1 resort:1 absence:2 finer:1 good:8 return:1 yl:16 units:1 thereof:1 permissible:1 yu:2 easily:7 2p:35 2s:19 always:7 truths:1 2e:4 inequality:1 2a:1 eigenvalue:19 2l:112 found:3 characterized:1 investigators:1 heavy:3 weight:2 generation:1 contiguous:2 reduce:7 eve:1 expect:3 measurement:8 quantum:5 operation:1 really:1 since:5 denotes:1 orthonormalized:1 dominated:2 hill:1 denoted:1 induced:1 issue:1 foreground:2 lawrence:1 like:3 reason:1 base:1 term:10 definition:5 retained:2 omit:1 wlt:1 exponentially:1 consequence:2 eqs:44 major:1 number:33 dinger:2 instances:3 passes:1 guess:2 temperature:11 introduction:1 leading:8 moderately:12 least:1 navigate:1 assumption:2 identity:20 statement:2 scheme:2 smoothed:3 recovered:2 too:3 relationship:1 part:2 differentiate:1 grace:1 albeit:1 hundred:1 double:43 grey:10 determined:4 doubly:1 hinkley:2 comput:1 banded:1 substantial:2 conjugate:2 elsevier:1 concentration:8 null:1 orders:1 generalizes:1 depending:1 precalculated:1 majority:1 empirically:3 generalized:6 brace:1 scha:1 most:7 significant:2 extremely:2 equatorial:7 exa:1 windows:2 clear:1 antipodal:1 cover:3 km:1 kl:1 2nd:1 kp:2 exp:3 physics:1 wavenumber:1 particularly:4 gold:1 degrades:1 converge:5 beamwidth:2 relation:14 font:1 find:13 parameters:3 3j:3 less:6 distributed:1 abell:1 subsection:9 factor:9 circle:2 abelian:1 triangle:3 notation:2 kamionkowski:1 express:5 international:1 combinations:1 resolve:1 biometrika:1 arxiv:1 acut:1 common:15 bars:7 set:2 art:1 ser:3 enabled:1 irregularly:2 see:8 individual:5 sea:1 close:1 contour:2 probable:1 dipole:1 topmost:1 various:10 subscript:1 conditions:1 supposed:1 available:8 recently:1 statistically:3 complementary:2 healpix:1 attention:1 analogues:1 distinguish:1 both:15 tapered:1 gaunt:1 sensitive:1 improves:1 context:1 whole:63 messiah:3 experimental:1 arbitrarily:1 point:7 simple:8 corresponds:1 dimensional:3 simply:6 throughout:3 ps:5 pp:22 pq:18 described:5 due:14 pb:6 faithfully:1 coarse:6 kronecker:1 collected:2 ph:1 pn:1 pl:104 imag:1 covariance:63 modelling:1 gap:1 determination:2 dmr:2 δsl:11 underdetermined:1 exponential:1 solid:1 expanded:1 empirical:3 mll:30 mlp:2 replaced:5 evaluating:1 error:15 evaluates:1 δss:2 resolved:1 studied:1 vol:4 averaging:8 encountered:1 itself:1 cumbersome:2 lengthy:1 confirms:1 grant:1 barnes:1 read:1 widely:2 products:1 higher:3 development:1 literature:1 geomagnetic:1 ypq:9 uses:2 purpose:1 lower:3 analysis:35 obviously:2 things:1 reviewed:1 shape:12 world:2 spatially:11 letting:1 cut:10 k2:1 workers:1 guaranteed:1 signals:1 source:2 deliberately:1 location:2 theorem:3 input:1 guarantees:5 transformation:1 bin:6 format:2 evaluate:4 showing:1 integer:1 formal:1 shaped:3 follows:6 signal:27 ignore:1 continue:1 indication:1 pointwise:3 essential:1 often:1 obliged:1 some:3 back:1 understood:1 b0:14 examples:1 sight:2 universes:2 δbb:2 ourselves:1 anisotropies:2 pronounced:1 scale:11 broadband:4 measurements:3 pros:1 fivefold:1 per:5 eliminate:1 tends:3 proc:1 inserting:3 varying:2 cgl:1 bb:2 δp0:1 agreement:2 restrictive:1 step:4 bp:33 plots:14 relating:1 obscured:1 downward:2 integers:2 anything:1 constraint:7 pθ:11 recalling:2 range:3 fredholm:1 stuart:2 ylm:40 geosciences:1 computational:1 into:17 within:27 integral:13 appropriate:1 primarily:3 statistics:4 turcotte:2 measured:9 calibrator:1 specifically:5 subregions:1 translate:1 δll:28 elsewhere:1 governs:1 cλλ:1 serif:1 subjectively:1 atlantic:1 delta:8 σpp:1 line:5 consist:2 uu:1 uv:2 us:3 uk:2 fluctuations:2 similar:3 called:1 popularity:1 constant:8 jungman:2 defined:13 coincides:3 swenson:2 influence:1 single:41 physica:1 numerators:1 nal:1 multipliers:2 application:3 sˆl:14 priori:1 geodesy:5 6bt:1 department:2 confine:1 sˆb:8 elements:11 problems:8 polynomials:2 fisher:18 sides:1 independently:1 algorithm:3 equivalently:5 nasa:1 weights:4 gubbins:2 far:2 everywhere:1 harcourt:1 dover:1 requires:3 having:3 code:1 gr:2 edn:4 results:6 illustrated:1 edu:2 gl:6 compact:1 disposal:1 arie:1 intensive:1 contours:1 excluded:1 stable:1 tegmark:10 probe:1 vlm:4 g2:1 g1:2 cataloged:1 specific:2 varshalovich:2 matrices:7 entire:3 tra:1 attempts:1 fewer:2 avoiding:1 eigenvalues:9 trs:1 noted:2 zl:21 smaller:10 zb:3 imply:1 enclosed:2 substituting:6 dynamics:1 odd:8 leakage:21 index:3 heavens:1 unavailable:1 invertible:5 reaching:2 expressed:3 availability:1 henceforth:3 consistently:1 experiment:4 retains:1 flm:3 hobson:1 multivariate:2 led:1 degree:69 pseudoinverse:2 respectively:4 spacing:3 desired:2 objects:2 expansion:3 others:2 consideration:1 extreme:1 larger:2 leaving:1 resulting:10 implement:1 makes:1 fourfold:2 scales:5 integrations:1 scaled:2 addressed:1 anomalies:3 summation:1 apply:1 σsp:11 use:18 asymptotic:14 usa:1 remains:2 chi:1 h0:2 jarosik:1 next:6 process:1 depicted:1 estimated:1 cram:3 noisy:1 reflects:3 upcoming:1 antennae:3 normalized:5 iii:4 appointed:1 sph:1 integrating:1 averaged:10 unknowns:3 infinitesimal:6 obvious:2 averages:4 proof:1 control:4 calculation:3 purposes:2 hauser:3 high:6 assumptions:1 six:2 regions:16 located:1 instead:4 sin:1 npl:5 specifications:1 isoline:1 collection:1 preferring:1 fits:1 efficiently:1 lines:7 correspond:2 element:3 allow:2 subsequently:1 discussion:4 bins:4 wigner:10 discretization:1 symbols:16 including:3 spohn:1 mortlock:2 dt:17 galaxy:3 contaminated:9 efstathiou:5 decay:1 ln:9 lo:1 ll:56 lm:29 estimating:7 willing:1 degrees:28 choose:1 clusters:1 pixel:35 ly:1 greater:2 practice:4 b2:1 day:1 masters:2 dirac:7 verifying:1 tral:1 university:3 sufficiently:3 l4:1 l2:1 l1:1 identifies:2 constraints:4 chung:2 astroph:14 related:3 inverted:2 operator:9 hlm:5 frequency:2 computable:2 measure:5 our:10 special:4 maximizes:1 fundamentally:1 periodicities:1 res:4 rev:10 uncontaminated:1 wandelt:3 integrated:1 red:1 slepian:8 unwieldy:1 galaxies:1 diagonal:7 completely:3 θfwhm:5 isolines:5 hubble:1 geometry:1 determining:1 could:1 feasible:5 isotropic:3 kendall:2 manuscript:1 powerful:1 reaches:1 improvements:1 precisely:1 braces:1 salient:1 unknown:1 relations:5 their:2 appl:2 ary:1 siam:4 wilkinson:4 behaved:1 final:5 wollack:1 exactly:3 environmental:1 treatise:2 penrose:1 clebsch:1 submitted:1 limiting:7 ss:6 distinguished:2 exhibit:2 symmetries:1 shrinks:1 curves:3 chapman:1 comfortably:1 hager:1 delineated:2 need:3 st:9 clearly:1 hessian:2 depict:1 angle:3 min:2 able:1 axisymmetric:9 admittance:1 detector:1 techniques:1 mit:1 accuracy:1 gβ:10 gα:50 connected:4 but:15 sb:26 why:2 fjj:1 subtracted:4 neighboring:2 schulten:2 δmm:6 mechanical:3 fjs:2 occasion:1 constrain:1 fact:11 selection:3 szl:1 purely:2 unconnected:1 rough:1 trivial:2 based:5 knowledge:1 baryonic:1 ngl:1 longhi:1 controls:1 should:4 bases:5 attained:1 truncation:2 local:7 regularly:1 familiar:2 beam:3 ones:3 words:2 mul:1 richards:2 striped:1 thomson:4 procedures:1 densities:1 dpq:4 numerous:1 differential:1 deconvolved:5 optimally:1 σdp:2 fixed:7 view:2 karhunen:1 multiplying:1 computed:5 national:1 hα:3 computer:1 catalogs:2 exploited:1 below:1 dlm:31 state:1 closed:4 membrane:1 neither:4 prevailing:2 thumbnail:1 comparable:1 ability:1 efficiency:1 magn:1 key:1 problem:14 thank:1 ωb:2 limits:9 taking:3 equal:7 chosen:1 komatsu:1 estimation:38 periodogram:46 teukolsky:1 otherwise:4 strongly:2 co:1 cl:1 cc:1 narrower:1 harmonic:34 ce:1 respect:2 piecewise:1 addition:4 primordial:1 utilizing:2 arises:3 corresponding:4 commutes:1 route:1 sufficient:1 coherence:1 essentially:1 binning:1 astron:4 present:5 unlike:2 contexts:1 value:17 choices:2 will:25 cox:2 luban:2 va:1 simons:35 almost:1 vl:2 surface:9 weighed:2 vv:1 regression:1 radiation:2 cross:5 unity:6 schematic:1 largest:3 mullis:2 finite:4 solution:3 atacama:1 difficult:1 http:2 upon:23 effect:3 infinite:2 frequently:1 expand:1 tucker:1 off:7 fully:1 nevertheless:2 restricted:2 ingredients:1 well:17 sets:3 αth:2 position:1 drawing:1 usual:4 spherical:59 heavily:1 increasingly:2 hybrid:1 accurate:2 identically:1 obtain:17 sources:1 underlying:1 distant:1 advertised:1 momenta:2 rapid:1 sky:16 hall:3 reasons:3 analogue:8 attractive:1 mitra:2 divided:2 identical:8 increased:2 inversion:6 increases:6 five:1 press:8 knox:4 tick:4 necessary:3 incompletely:1 alternatively:1 libbrecht:2 δl:3 become:3 page:1 because:23 vst:1 classical:4 sequence:1 phenomena:1 wider:2 proper:1 wellesley:2 lead:2 avoid:2 overlap:1 does:4 esa:1 noise:47 slight:5 ensures:1 rasch:2 inherently:2 although:1 offset:13 cβ:1 analyses:6 simpler:2 about:2 actual:1 column:4 universe:1 dependence:3 important:3 introduced:8 seismology:1 owl:1 equally:1 own:2 suited:2 m0l:1 attains:1 weighted:14 estimators:7 vanishingly:1 unbinned:3 unresolvable:1 incipient:1 reduction:5 awarded:2 inasmuch:3 quadratic:15 var:21 menke:3 log10:1 uncontrollable:1 naturally:1 function:42 triangular:1 overlapping:1 astro:1 expected:17 tapers:18 convergence:1 ear:2 illustrative:1 coupling:45 made:1 compute:8 jaffe:1 evident:2 instructive:1 wish:5 gravitational:1 variations:1 dmn:1 haykin:3 limit:33 duv:1 percival:4 mechanics:2 int:8 curve:3 universal:3 contribute:1 condition:6 denote:10 wavelength:2 identities:2 counteract:1 diego:2 functions:12 variety:4 percent:5 portion:4 other:12 shannon:14 conclusion:1 repeat:2 variation:9 precision:1 astronomy:1 matrix:91 auxiliary:2 resolution:18 factors:2 covariances:1 rule:1 inset:1 validation:1
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.