id float64 706 1.8k | title stringlengths 1 343 | abstract stringlengths 6 6.09k | categories stringlengths 5 125 | processed_abstract stringlengths 2 5.96k | tokenized_abstract stringlengths 8 8.74k | centroid stringlengths 2.1k 2.17k |
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711.1708 | Axion as a CDM component | I discuss the essential features of the QCD axion: the strong CP solution and
hence its theoretical necessity. I also review the effects of the QCD axion on
astrophysics and cosmology, in particular with emphasis on its role in the dark
matter component together with its supersymmetric partner axino. It is pointed
out that string theory may or may not give a detectable QCD axion.
| hep-ph astro-ph hep-th | i discuss the essential features of the qcd axion the strong cp solution and hence its theoretical necessity i also review the effects of the qcd axion on astrophysics and cosmology in particular with emphasis on its role in the dark matter component together with its supersymmetric partner axino it is pointed out that string theory may or may not give a detectable qcd axion | [['i', 'discuss', 'the', 'essential', 'features', 'of', 'the', 'qcd', 'axion', 'the', 'strong', 'cp', 'solution', 'and', 'hence', 'its', 'theoretical', 'necessity', 'i', 'also', 'review', 'the', 'effects', 'of', 'the', 'qcd', 'axion', 'on', 'astrophysics', 'and', 'cosmology', 'in', 'particular', 'with', 'emphasis', 'on', 'its', 'role', 'in', 'the', 'dark', 'matter', 'component', 'together', 'with', 'its', 'supersymmetric', 'partner', 'axino', 'it', 'is', 'pointed', 'out', 'that', 'string', 'theory', 'may', 'or', 'may', 'not', 'give', 'a', 'detectable', 'qcd', 'axion']] | [-0.12039523191320209, 0.18420614142758915, -0.13566089773980472, 0.15676170737446787, -0.15420972478504363, -0.12936060230176036, 0.04203514869933805, 0.3307113240831173, -0.19805557830975606, -0.2648187687763801, 0.1262001658933094, -0.2532580960470323, -0.09012945469540472, 0.12842865935526787, 0.00999004514171527, 0.013422737210594978, 0.05691204836162237, 0.0716914889904169, -0.04091790230729832, -0.24858691644711564, 0.31560222696369655, 0.07171373943296763, 0.17060794991870912, 0.15853026252813063, 0.04308806152727741, -0.047349688532547306, -0.11067995873208229, -0.03877691781291595, -0.133286902398574, 0.06753798770503355, 0.20300837525954613, 0.12154094238693898, 0.1708026647173728, -0.4212383972051052, -0.20683714658057747, 0.17482294981869367, 0.13200160404667258, 0.09966279301219262, -0.09644580419676808, -0.2968245393095108, 0.05889618547919851, -0.1844925463701097, -0.12073762664714685, -0.08518169562403972, 0.009951647005688685, -0.068764160745419, -0.18476122621303567, 0.020404950741571014, -0.007940286104209148, -0.056341316930663125, -0.019104418561507304, -0.1795684649071728, 0.0038909184818084423, -0.011084133791379057, 0.16462652490187724, 0.06072347114005914, 0.16537074595689774, -0.26506730161893827, -0.11604297833087353, 0.5115668544975611, -0.09318013770075945, -0.12962659038603305, 0.1315496646046925, -0.12059388501175608, -0.2023922098084138, 0.06851072656707122, 0.09032358756432167, 0.04930196095687839, -0.07046190341934562, 0.2114323635496056, -0.013715745680607282, 0.17256581071907512, 0.014134096483198496, 0.10185109983520725, 0.40715784249970544, 0.17321867071307048, 0.026400895982694166, 0.048486785418712174, -0.030803464281444367, -0.1284738391924363, -0.45109686438853924, -0.10071615575311275, -0.09975532518269924, 0.05649933699325909, -0.10134495698730461, -0.15009854880089943, 0.3565736265638127, 0.1460048544471367, 0.14252923659872838, -0.05119320985216361, 0.27336661476785173, 0.05909412524734552, 0.00729652030680042, 0.002356553256798249, 0.34726842105961764, 0.16319648671823625, 0.1649167336953374, -0.299930103846754, -0.052897096138734084, 0.06467174235731363] |
711.1709 | Cooperative Robot Control and Concurrent Synchronization of Lagrangian
Systems | Concurrent synchronization is a regime where diverse groups of fully
synchronized dynamic systems stably coexist. We study global exponential
synchronization and concurrent synchronization in the context of Lagrangian
systems control. In a network constructed by adding diffusive couplings to
robot manipulators or mobile robots, a decentralized tracking control law
globally exponentially synchronizes an arbitrary number of robots, and
represents a generalization of the average consensus problem. Exact nonlinear
stability guarantees and synchronization conditions are derived by contraction
analysis. The proposed decentralized strategy is further extended to adaptive
synchronization and partial-state coupling.
| math.OC | concurrent synchronization is a regime where diverse groups of fully synchronized dynamic systems stably coexist we study global exponential synchronization and concurrent synchronization in the context of lagrangian systems control in a network constructed by adding diffusive couplings to robot manipulators or mobile robots a decentralized tracking control law globally exponentially synchronizes an arbitrary number of robots and represents a generalization of the average consensus problem exact nonlinear stability guarantees and synchronization conditions are derived by contraction analysis the proposed decentralized strategy is further extended to adaptive synchronization and partialstate coupling | [['concurrent', 'synchronization', 'is', 'a', 'regime', 'where', 'diverse', 'groups', 'of', 'fully', 'synchronized', 'dynamic', 'systems', 'stably', 'coexist', 'we', 'study', 'global', 'exponential', 'synchronization', 'and', 'concurrent', 'synchronization', 'in', 'the', 'context', 'of', 'lagrangian', 'systems', 'control', 'in', 'a', 'network', 'constructed', 'by', 'adding', 'diffusive', 'couplings', 'to', 'robot', 'manipulators', 'or', 'mobile', 'robots', 'a', 'decentralized', 'tracking', 'control', 'law', 'globally', 'exponentially', 'synchronizes', 'an', 'arbitrary', 'number', 'of', 'robots', 'and', 'represents', 'a', 'generalization', 'of', 'the', 'average', 'consensus', 'problem', 'exact', 'nonlinear', 'stability', 'guarantees', 'and', 'synchronization', 'conditions', 'are', 'derived', 'by', 'contraction', 'analysis', 'the', 'proposed', 'decentralized', 'strategy', 'is', 'further', 'extended', 'to', 'adaptive', 'synchronization', 'and', 'partialstate', 'coupling']] | [-0.3125313940345422, 0.1013052077354047, -0.048996654277728806, -0.0027555631023350653, -0.0735542955040768, -0.2524638903521738, 0.06945848793999015, 0.36897473860081736, -0.2882191166179357, -0.29788050968404656, 0.11581753225290922, -0.17190626615167157, -0.20423468157193614, 0.11156304475114487, -0.11309504664533741, 0.08870930611514129, 0.061272095379695954, 0.03839032820190538, 0.020250554032787516, -0.19763325736090376, 0.22579255028740391, 0.021682414491046836, 0.29775823154333203, -0.08109875549920477, 0.13523428618478087, 0.01889921472520455, 0.029504215938376856, 0.060053990891581956, -0.08007316793581205, 0.08017977464120261, 0.2940002330834722, 0.11125268755419242, 0.31458387497280327, -0.4359863672692042, -0.19174745218357542, 0.1270546822163921, 0.20529506876706505, 0.10688461210824303, -0.028020702691359835, -0.3538228307779019, 0.09740778553212615, -0.2038593143838775, -0.1209894804396554, -0.09021063340357044, -0.02121088393595438, 0.07153861991457314, -0.3368072493800095, 0.0373037661512761, 0.0739141334958661, 0.08472037263765322, -0.10252980000063122, 0.06706173405317324, -0.01173109928616783, 0.15500429133465002, -0.027888720921639885, -0.054920048521995384, 0.1512731100575855, -0.10462886375467201, -0.16282021156563373, 0.3431123804485241, 0.019449821967889996, -0.2158195575487168, 0.21508342770931238, -0.02235619970443812, -0.13196116301057104, 0.12123377109458158, 0.23772403689940552, 0.11765215726184548, -0.2002248458032097, 0.06667171813967218, -0.013830135775996106, 0.1897190848498472, 0.0389086996757804, 0.013109123846004298, 0.1299279206803396, 0.23057357324696667, 0.221566406155394, 0.10970263349936231, 0.036654860947337414, -0.2048577072487755, -0.24482087342191364, -0.0734144704503386, -0.12324554464462531, -0.004141917149024596, -0.12020665687537026, -0.1325961049149775, 0.36075013364245606, 0.11148260989236636, 0.1300368372473743, 0.1288012669698059, 0.34058075529717646, 0.08148303722123523, 0.016786789388528893, 0.11895288671211757, 0.23504338996321128, 0.12987520126625896, 0.14285681029055064, -0.2724934410563527, 0.0927317474078346, 0.0702091385917431] |
711.171 | Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet
Series, and Jacobi Theta Function | It is known that the moments of the maximum value of a one-dimensional
conditional Brownian motion, the three-dimensional Bessel bridge with duration
1 started from the origin, are expressed using the Riemann zeta function. We
consider a system of two Bessel bridges, in which noncolliding condition is
imposed. We show that the moments of the maximum value is then expressed using
the double Dirichlet series, or using the integrals of products of the Jacobi
theta functions and its derivatives. Since the present system will be provided
as a diffusion scaling limit of a version of vicious walker model, the ensemble
of 2-watermelons with a wall, the dominant terms in long-time asymptotics of
moments of height of 2-watermelons are completely determined. For the height of
2-watermelons with a wall, the average value was recently studied by Fulmek by
a method of enumerative combinatorics.
| math.PR cond-mat.stat-mech hep-th math-ph math.CO math.MP nlin.SI | it is known that the moments of the maximum value of a onedimensional conditional brownian motion the threedimensional bessel bridge with duration 1 started from the origin are expressed using the riemann zeta function we consider a system of two bessel bridges in which noncolliding condition is imposed we show that the moments of the maximum value is then expressed using the double dirichlet series or using the integrals of products of the jacobi theta functions and its derivatives since the present system will be provided as a diffusion scaling limit of a version of vicious walker model the ensemble of 2watermelons with a wall the dominant terms in longtime asymptotics of moments of height of 2watermelons are completely determined for the height of 2watermelons with a wall the average value was recently studied by fulmek by a method of enumerative combinatorics | [['it', 'is', 'known', 'that', 'the', 'moments', 'of', 'the', 'maximum', 'value', 'of', 'a', 'onedimensional', 'conditional', 'brownian', 'motion', 'the', 'threedimensional', 'bessel', 'bridge', 'with', 'duration', '1', 'started', 'from', 'the', 'origin', 'are', 'expressed', 'using', 'the', 'riemann', 'zeta', 'function', 'we', 'consider', 'a', 'system', 'of', 'two', 'bessel', 'bridges', 'in', 'which', 'noncolliding', 'condition', 'is', 'imposed', 'we', 'show', 'that', 'the', 'moments', 'of', 'the', 'maximum', 'value', 'is', 'then', 'expressed', 'using', 'the', 'double', 'dirichlet', 'series', 'or', 'using', 'the', 'integrals', 'of', 'products', 'of', 'the', 'jacobi', 'theta', 'functions', 'and', 'its', 'derivatives', 'since', 'the', 'present', 'system', 'will', 'be', 'provided', 'as', 'a', 'diffusion', 'scaling', 'limit', 'of', 'a', 'version', 'of', 'vicious', 'walker', 'model', 'the', 'ensemble', 'of', '2watermelons', 'with', 'a', 'wall', 'the', 'dominant', 'terms', 'in', 'longtime', 'asymptotics', 'of', 'moments', 'of', 'height', 'of', '2watermelons', 'are', 'completely', 'determined', 'for', 'the', 'height', 'of', '2watermelons', 'with', 'a', 'wall', 'the', 'average', 'value', 'was', 'recently', 'studied', 'by', 'fulmek', 'by', 'a', 'method', 'of', 'enumerative', 'combinatorics']] | [-0.13910747173366886, 0.12250601426160461, -0.10535585646137176, 0.04667309145148004, -0.034184253610618096, -0.06727467058226466, 0.02548167014717531, 0.3231283395721669, -0.287035909625636, -0.2537355114259875, 0.13418738568664043, -0.2618055975254835, -0.13922452958936896, 0.17709776302832375, -0.021554925621644606, 0.06060797194122258, 0.04274932867322694, 0.07389284310285264, -0.06462714608929211, -0.21566363068094188, 0.31630016090823865, 0.027280993871128475, 0.20715097035117394, 0.02507954025903428, 0.12112507524549253, 0.014210503560014997, -0.0013642568095311733, 0.017203564572797328, -0.15137983442820743, 0.1116512894079509, 0.13922263445204752, 0.051328294182484836, 0.2612357404161717, -0.3806411530953688, -0.16527309299538462, 0.09379398803846438, 0.13926256532472572, 0.019339015952501655, 0.011290168615950035, -0.28462509352149784, 0.04069758807046627, -0.1372375896505513, -0.19167672918165024, -0.009357591310489766, 0.03692327772306515, 0.12130599379503418, -0.2863255049967745, 0.11656043646056992, 0.0633484389006593, 0.05349631446846564, -0.029692957132667775, -0.14944215743428646, -0.01249925225389413, 0.10265921001670174, 0.07448585380301614, 0.015952208946773808, 0.09826986187032725, -0.1482476607144607, -0.11872044653290699, 0.3474591298382992, -0.08918256077892475, -0.23690254189476573, 0.09687578746340644, -0.20613423756546748, -0.07649994902247169, 0.12168146727908351, 0.10516541506472031, 0.15936782861679372, -0.15247423622862133, 0.10851446325639853, -0.060808154282120754, 0.10093557117748711, 0.12364173972565995, -0.05358728797922672, 0.2019786590211828, 0.12957463267219949, 0.0462483283932465, 0.20373188849443466, -0.10059812641374662, -0.13054409906559977, -0.3292924485195586, -0.18807338747117197, -0.24288105362252346, 0.07607967815604585, -0.10335611846799303, -0.20408476928485111, 0.3910806817527283, 0.09607030288972171, 0.20567480028561042, 0.10748272918699257, 0.20459395694926802, 0.20228120368293775, 0.039488127461673926, 0.0514770581200063, 0.1723766233919608, 0.16717847629981508, 0.08605477761831397, -0.18454400706104934, 0.0719088960806249, 0.14550491264352286] |
711.1711 | Cutsets in infinite graphs | We answer three questions posed in a paper by Babson and Benjamini. They
introduced a parameter $C_G$ for Cayley graphs $G$ that has significant
application to percolation. For a minimal cutset of $G$ and a partition of this
cutset into two classes, take the minimal distance between the two classes. The
supremum of this number over all minimal cutsets and all partitions is $C_G$.
We show that if it is finite for some Cayley graph of the group then it is
finite for any (finitely generated) Cayley graph. Having an exponential bound
for the number of minimal cutsets of size $n$ separating $o$ from infinity also
turns out to be independent of the Cayley graph chosen. We show a 1-ended
example (the lamplighter group), where $C_G$ is infinite. Finally, we give a
new proof for a question of de la Harpe, proving that the number of $n$-element
cutsets separating $o$ from infinity is finite unless $G$ is a finite extension
of $Z$.
| math.CO math.GR math.PR | we answer three questions posed in a paper by babson and benjamini they introduced a parameter c_g for cayley graphs g that has significant application to percolation for a minimal cutset of g and a partition of this cutset into two classes take the minimal distance between the two classes the supremum of this number over all minimal cutsets and all partitions is c_g we show that if it is finite for some cayley graph of the group then it is finite for any finitely generated cayley graph having an exponential bound for the number of minimal cutsets of size n separating o from infinity also turns out to be independent of the cayley graph chosen we show a 1ended example the lamplighter group where c_g is infinite finally we give a new proof for a question of de la harpe proving that the number of nelement cutsets separating o from infinity is finite unless g is a finite extension of z | [['we', 'answer', 'three', 'questions', 'posed', 'in', 'a', 'paper', 'by', 'babson', 'and', 'benjamini', 'they', 'introduced', 'a', 'parameter', 'c_g', 'for', 'cayley', 'graphs', 'g', 'that', 'has', 'significant', 'application', 'to', 'percolation', 'for', 'a', 'minimal', 'cutset', 'of', 'g', 'and', 'a', 'partition', 'of', 'this', 'cutset', 'into', 'two', 'classes', 'take', 'the', 'minimal', 'distance', 'between', 'the', 'two', 'classes', 'the', 'supremum', 'of', 'this', 'number', 'over', 'all', 'minimal', 'cutsets', 'and', 'all', 'partitions', 'is', 'c_g', 'we', 'show', 'that', 'if', 'it', 'is', 'finite', 'for', 'some', 'cayley', 'graph', 'of', 'the', 'group', 'then', 'it', 'is', 'finite', 'for', 'any', 'finitely', 'generated', 'cayley', 'graph', 'having', 'an', 'exponential', 'bound', 'for', 'the', 'number', 'of', 'minimal', 'cutsets', 'of', 'size', 'n', 'separating', 'o', 'from', 'infinity', 'also', 'turns', 'out', 'to', 'be', 'independent', 'of', 'the', 'cayley', 'graph', 'chosen', 'we', 'show', 'a', '1ended', 'example', 'the', 'lamplighter', 'group', 'where', 'c_g', 'is', 'infinite', 'finally', 'we', 'give', 'a', 'new', 'proof', 'for', 'a', 'question', 'of', 'de', 'la', 'harpe', 'proving', 'that', 'the', 'number', 'of', 'nelement', 'cutsets', 'separating', 'o', 'from', 'infinity', 'is', 'finite', 'unless', 'g', 'is', 'a', 'finite', 'extension', 'of', 'z']] | [-0.16828269311399371, 0.18679407989416907, -0.06967763557892155, 0.04819718636227427, -0.10726201419005699, -0.15755088386171853, 0.07901080989891111, 0.33742593234565893, -0.2880991322540299, -0.26435885266228404, 0.08938532433239743, -0.30106434846199176, -0.12157488500348718, 0.18604230325967994, -0.09432512090575916, -0.014342932464600897, 0.04629731794135116, 0.10464772838742736, 0.0007062534446667098, -0.3255286845146825, 0.3330135163664243, -0.05438654501002604, 0.19475586608305206, 0.0968988777977633, 0.10647801025037619, 0.005008337530594917, 0.005539523151611196, 0.08332970957444222, -0.185889222454321, 0.0665712753529258, 0.27539057934219824, 0.1541627901250099, 0.27550953646178966, -0.33418207406353806, -0.1650878660766017, 0.22947765757720687, 0.14706047051183788, 0.0470564794715172, -0.011108593745042144, -0.22529948031512537, 0.17947562916468782, -0.15933729900747112, -0.0906640453764272, 0.03964641889741207, 0.11292735778260976, -0.020946113605420164, -0.26604213121664755, -0.05337632133177752, 0.14198374721210127, 0.06725770718037018, 0.03821247694783925, -0.13004717452560816, -0.041258169467457466, 0.10194584728149628, -0.021804393842355947, 0.020800877267632772, 0.018388464426000912, -0.0394775468631889, -0.13272453103226, 0.345285939777063, -0.03458261039333682, -0.19792826305844902, 0.12403014560810716, -0.13278693969240757, -0.18801822698456638, 0.10266085164219049, 0.08472057836084271, 0.14283340389805813, -0.047839780522073494, 0.2269256137024732, -0.15321760013538563, 0.11517243506961766, 0.13720326720777162, -0.02291825725582003, 0.10720455196519371, 0.1294220630798121, 0.15871668159300575, 0.1788298658513533, 0.024927501227522707, -0.0024249276324508733, -0.36440531710553686, -0.1710557468673128, -0.21503227280113663, 0.1051939021979953, -0.20029451363739043, -0.23021366983008237, 0.38913105661336933, 0.09224600055151516, 0.20442816239126302, 0.14288916508379726, 0.1942402020191636, 0.05943197395974471, 0.02460860984434408, 0.1374818342415825, 0.0848708629795353, 0.1804714817568131, -0.09894922442438173, -0.1573541434108061, 0.030290364372589983, 0.20131070959887662] |
711.1712 | Minimal tori with low nullity | The nullity of a minimal submanifold $M\subset S^{n}$ is the dimension of the
nullspace of the second variation of the area functional. That space contains
as a subspace the effect of the group of rigid motions $SO(n+1)$ of the ambient
space, modulo those motions which preserve $M$, whose dimension is the Killing
nullity $kn(M)$ of $M$. In the case of 2-dimensional tori $M$ in $S^{3}$, there
is an additional naturally-defined 2-dimensional subspace; the dimension of the
sum of the action of the rigid motions and this space is the natural nullity
$nnt(M)$. In this paper we will study minimal tori in $S^{3}$ with natural
nullity less than 8. We construct minimal immersions of the plane $R^{2}$ in
$S^{3}$ that contain all possible examples of tori with $nnt(M)<8$. We prove
that the examples of Lawson and Hsiang with $kn(M)=5$ also have $nnt(M)=5$, and
we prove that if the $nnt(M)\le6$ then the group of isometries of $M$ is not
trivial.
| math.DG | the nullity of a minimal submanifold msubset sn is the dimension of the nullspace of the second variation of the area functional that space contains as a subspace the effect of the group of rigid motions son1 of the ambient space modulo those motions which preserve m whose dimension is the killing nullity knm of m in the case of 2dimensional tori m in s3 there is an additional naturallydefined 2dimensional subspace the dimension of the sum of the action of the rigid motions and this space is the natural nullity nntm in this paper we will study minimal tori in s3 with natural nullity less than 8 we construct minimal immersions of the plane r2 in s3 that contain all possible examples of tori with nntm8 we prove that the examples of lawson and hsiang with knm5 also have nntm5 and we prove that if the nntmle6 then the group of isometries of m is not trivial | [['the', 'nullity', 'of', 'a', 'minimal', 'submanifold', 'msubset', 'sn', 'is', 'the', 'dimension', 'of', 'the', 'nullspace', 'of', 'the', 'second', 'variation', 'of', 'the', 'area', 'functional', 'that', 'space', 'contains', 'as', 'a', 'subspace', 'the', 'effect', 'of', 'the', 'group', 'of', 'rigid', 'motions', 'son1', 'of', 'the', 'ambient', 'space', 'modulo', 'those', 'motions', 'which', 'preserve', 'm', 'whose', 'dimension', 'is', 'the', 'killing', 'nullity', 'knm', 'of', 'm', 'in', 'the', 'case', 'of', '2dimensional', 'tori', 'm', 'in', 's3', 'there', 'is', 'an', 'additional', 'naturallydefined', '2dimensional', 'subspace', 'the', 'dimension', 'of', 'the', 'sum', 'of', 'the', 'action', 'of', 'the', 'rigid', 'motions', 'and', 'this', 'space', 'is', 'the', 'natural', 'nullity', 'nntm', 'in', 'this', 'paper', 'we', 'will', 'study', 'minimal', 'tori', 'in', 's3', 'with', 'natural', 'nullity', 'less', 'than', '8', 'we', 'construct', 'minimal', 'immersions', 'of', 'the', 'plane', 'r2', 'in', 's3', 'that', 'contain', 'all', 'possible', 'examples', 'of', 'tori', 'with', 'nntm8', 'we', 'prove', 'that', 'the', 'examples', 'of', 'lawson', 'and', 'hsiang', 'with', 'knm5', 'also', 'have', 'nntm5', 'and', 'we', 'prove', 'that', 'if', 'the', 'nntmle6', 'then', 'the', 'group', 'of', 'isometries', 'of', 'm', 'is', 'not', 'trivial']] | [-0.2037935525154561, 0.11231107837446354, -0.03969232753235725, 0.02732755389791956, -0.06770681930109372, -0.07937118292366173, -0.04594980475943219, 0.34059431183827565, -0.2479763044245249, -0.2442100644172504, 0.12760600474799277, -0.2877252301645581, -0.1644063851799134, 0.15223073869261866, -0.13627975723505312, -0.008133775709817806, 0.03524014448710516, 0.13475767521072007, -0.10515656435802835, -0.29671727164703254, 0.4046653907873905, -0.018742815125733614, 0.1747651535749825, 0.0092244149015279, 0.13961354442232965, -0.02220294863142353, 0.0004888091455487644, 0.03841894210922666, -0.17715579295151235, 0.1516761093885863, 0.20055023365915794, 0.09666055264225339, 0.17899988588018745, -0.35529371911623314, -0.19846057551654261, 0.20933169192251036, 0.12007184414302602, -0.008998186233928245, 0.007101373762208847, -0.2524298134250749, 0.11162481756783486, -0.11102587976827731, -0.1578921741118131, -0.04935950154036868, 0.08845948365827401, -0.03411627186498806, -0.1942154569003512, 0.03927784471364016, 0.13682988525240444, 0.10533389100634487, -0.05761269653015131, -0.07647111715050414, -0.11043735559469735, 0.10069638777149878, 0.046077845650846806, 0.05887992563733551, 0.09337036081839328, -0.059112136308339676, -0.09459325612455703, 0.41738546580331876, -0.0671316241329799, -0.28405796836915553, 0.15642275042478848, -0.19811836894893764, -0.15991814003563395, 0.15122316665703955, 0.10172452119611253, 0.1437334919324011, -0.06109377001016553, 0.1994551003509615, -0.14928112200345672, 0.11589011013069574, 0.08805665214016449, 0.017602445953373427, 0.11296118407516308, 0.1235498197048026, 0.16324454217120468, 0.14181380137630734, -0.07607083005246286, -0.009193647736942189, -0.3738364952805093, -0.23360425647762087, -0.15673014859431514, 0.13159255213052828, -0.13132764081582138, -0.16899941420620856, 0.37754577511824133, 0.032339699170704374, 0.20333098411389622, 0.087733975935003, 0.23082270759638715, 0.02445840388551671, 0.059798271608313705, 0.12419288186965133, 0.17258840089426467, 0.15900246177501734, -0.03897192951267451, -0.1532089669651921, -0.08746334576212308, 0.15279381315138654] |
711.1713 | Bondary-connectivity via graph theory | We generalize theorems of Kesten and Deuschel-Pisztora about the
connectedness of the exterior boundary of a connected subset of $\mathbb{Z}^d$,
where "connectedness" and "boundary" are understood with respect to various
graphs on the vertices of $\mathbb{Z}^d$. We provide simple and elementary
proofs of their results. It turns out that the proper way of viewing these
questions is graph theory, instead of topology.
| math.PR math.CO | we generalize theorems of kesten and deuschelpisztora about the connectedness of the exterior boundary of a connected subset of mathbbzd where connectedness and boundary are understood with respect to various graphs on the vertices of mathbbzd we provide simple and elementary proofs of their results it turns out that the proper way of viewing these questions is graph theory instead of topology | [['we', 'generalize', 'theorems', 'of', 'kesten', 'and', 'deuschelpisztora', 'about', 'the', 'connectedness', 'of', 'the', 'exterior', 'boundary', 'of', 'a', 'connected', 'subset', 'of', 'mathbbzd', 'where', 'connectedness', 'and', 'boundary', 'are', 'understood', 'with', 'respect', 'to', 'various', 'graphs', 'on', 'the', 'vertices', 'of', 'mathbbzd', 'we', 'provide', 'simple', 'and', 'elementary', 'proofs', 'of', 'their', 'results', 'it', 'turns', 'out', 'that', 'the', 'proper', 'way', 'of', 'viewing', 'these', 'questions', 'is', 'graph', 'theory', 'instead', 'of', 'topology']] | [-0.14451711846526988, 0.11632509498292061, -0.10696172918055634, 0.05295379002784669, -0.12468441487595316, -0.12604192669549194, 0.09005711046543705, 0.3906162145746047, -0.277146331538431, -0.24845319051681025, 0.14190535294655404, -0.28689805662534273, -0.1509165031631233, 0.15899458560294885, -0.1326240733662834, 0.0004496213934216343, 0.05897163135595009, 0.09184457175099657, -0.01997424345692528, -0.28656066897121013, 0.37267217645421624, -0.056307742188944195, 0.15837045937593355, 0.13468942522895752, 0.079872736844738, 0.024339902115466654, -0.07878436206183473, 0.09466532950640702, -0.17844232995137974, 0.15838141598906674, 0.2174802923452903, 0.10655137485458104, 0.2328140227750066, -0.43747630455439573, -0.15866620873757561, 0.12123574463070416, 0.10382682768643269, 0.022176462210348396, 0.06122984722462773, -0.2965108660950524, 0.13261603897620663, -0.08197425985250806, -0.1729260212970806, -0.045980501232943574, 0.020138017329402635, 0.06400050958771197, -0.2131864310807136, 0.016231384723767884, 0.1683012766794103, 0.07960082757760023, -0.030305179927620243, -0.10113936990926989, -0.0537014131865571, 0.15582739858750683, 0.023044813313658853, 0.026774509580897502, 0.10473279137408635, -0.11054974207730933, -0.15512275384342084, 0.3576612541467318, 0.056033103362290705, -0.2163444865479699, 0.21467278575234602, -0.15886047861126604, -0.17357802324638258, 0.05733229651222708, 0.11629711664052772, 0.1585114769118487, -0.11642435449557226, 0.14855542616846162, -0.12451396741690572, 0.07080008683451375, 0.11288150481604894, 0.03819646961895413, 0.14259778366225664, 0.13861113681351064, 0.1393354127458373, 0.1630483412481539, 0.02204864925216334, -0.10823550827984439, -0.3558899315043551, -0.09166352843224514, -0.17046809364415583, 0.1312350879469123, -0.18393029595394123, -0.2109854854643345, 0.3868018716695856, 0.14904281174855644, 0.2163185102132256, 0.09013924918702391, 0.19299985914201032, 0.05234946174638682, -0.009737332095773737, 0.08133410551722665, 0.12635630478349621, 0.22338404323233932, 0.012357161433787131, -0.11651467517796965, 0.050715972375521653, 0.13484081580899046] |
711.1714 | Determining the density dependence of the nuclear symmetry energy using
heavy-ion reactions | We review recent progress in the determination of the subsaturation density
behavior of the nuclear symmetry energy from heavy-ion collisions as well as
the theoretical progress in probing the high density behavior of the symmetry
energy in heavy-ion reactions induced by high energy radioactive beams. We
further discuss the implications of these results for the nuclear effective
interactions and the neutron skin thickness of heavy nuclei.
| nucl-th | we review recent progress in the determination of the subsaturation density behavior of the nuclear symmetry energy from heavyion collisions as well as the theoretical progress in probing the high density behavior of the symmetry energy in heavyion reactions induced by high energy radioactive beams we further discuss the implications of these results for the nuclear effective interactions and the neutron skin thickness of heavy nuclei | [['we', 'review', 'recent', 'progress', 'in', 'the', 'determination', 'of', 'the', 'subsaturation', 'density', 'behavior', 'of', 'the', 'nuclear', 'symmetry', 'energy', 'from', 'heavyion', 'collisions', 'as', 'well', 'as', 'the', 'theoretical', 'progress', 'in', 'probing', 'the', 'high', 'density', 'behavior', 'of', 'the', 'symmetry', 'energy', 'in', 'heavyion', 'reactions', 'induced', 'by', 'high', 'energy', 'radioactive', 'beams', 'we', 'further', 'discuss', 'the', 'implications', 'of', 'these', 'results', 'for', 'the', 'nuclear', 'effective', 'interactions', 'and', 'the', 'neutron', 'skin', 'thickness', 'of', 'heavy', 'nuclei']] | [-0.054650182045544636, 0.24666525376255088, -0.11120535047798925, 0.09713100752031262, 0.016367154083017147, -0.0003639431529198632, -0.015734112842685798, 0.3322376521360694, -0.22419135890562425, -0.31767419352774706, 0.03241947987628395, -0.31392753410689306, -0.0011170340955934741, 0.13022215548676974, 0.05963330227655895, 0.09843399913304231, 0.02601452370766889, 0.03593226395208727, -0.12175291759723966, -0.1391721449926439, 0.3352005651051348, 0.16880931164787122, 0.3015507187581424, 0.22912025107353023, 0.025661734095069045, 0.04995967818875656, 0.01289060621550589, -0.01709948787395137, -0.15920499176012748, 0.11303182853302904, 0.2978945773969771, 0.058218374086374584, 0.17953272789688499, -0.5158216033243772, -0.25029981537778495, 0.08602770134298639, 0.11093000412890405, 0.1731017426107869, -0.1898932953675588, -0.2648356504964106, 0.028424415088286907, -0.25345385091548617, -0.21114932858935473, -0.09872754042347272, 0.03097390752483272, 0.11960052122418402, -0.19847842418786252, 0.09793513344210981, -0.0008640285196826991, 0.07467907112599774, -0.10167058704025818, -0.204259449220968, -0.006678073367132156, 0.04972219238565727, 0.14372269253274708, 0.018135035121248977, 0.21144145187061053, -0.2575077034381331, -0.0600575488554596, 0.40255483093135286, 0.0036940859404928756, -0.046640600677523195, 0.1604433772224707, -0.1888297004413537, -0.16327744354776136, 0.1266910374785463, 0.21763028513470833, 0.1367222864011472, -0.12230175218516678, 0.05117180175765305, 0.023332309990302856, 0.10590010396007335, 0.041801347778263415, 0.09163105697371066, 0.21829211610284718, 0.2663871164179661, -0.019529443791587695, 0.04739105600200481, -0.13150049585171722, -0.04140494315123016, -0.3588478683113036, -0.09610152809005795, -0.138603206434654, 0.04732963732782413, -0.05808448602395153, -0.02739969020794061, 0.3956243367019025, 0.08113657954064282, 0.24153238355718326, -0.09237632688812235, 0.292923088778149, 0.0631553956385081, 0.012809930376313401, 0.027063339271328667, 0.32233527381763316, 0.20540216174611653, 0.12885307695603732, -0.36019188149789855, 0.05989030755132042, 0.015790404660175696] |
711.1715 | The Solar Optical Telescope for the Hinode Mission: An Overview | The Solar Optical Telescope (SOT) aboard the Hinode satellite (formerly
called Solar-B) consists of the Optical Telescope Assembly (OTA) and the Focal
Plane Package (FPP). The OTA is a 50 cm diffraction-limited Gregorian
telescope, and the FPP includes the narrow-band (NFI) and wide-band (BFI)
filtergraphs, plus the Stokes spectro-polarimeter (SP). SOT provides
unprecedented high resolution photometric and vector magnetic images of the
photosphere and chromosphere with a very stable point spread function, and is
equipped with an image stabilization system that reduces the error to less than
0.01 arcsec rms. Together with the other two instruments on Hinode (the X-Ray
Telescope (XRT) and EUV Imaging Spectrometer (EIS)), SOT is poised to address
many fundamental questions about solar magneto-hydrodynamics. Note that this is
an overview, and the details of the instrument are presented in a series of
companion papers.
| astro-ph | the solar optical telescope sot aboard the hinode satellite formerly called solarb consists of the optical telescope assembly ota and the focal plane package fpp the ota is a 50 cm diffractionlimited gregorian telescope and the fpp includes the narrowband nfi and wideband bfi filtergraphs plus the stokes spectropolarimeter sp sot provides unprecedented high resolution photometric and vector magnetic images of the photosphere and chromosphere with a very stable point spread function and is equipped with an image stabilization system that reduces the error to less than 001 arcsec rms together with the other two instruments on hinode the xray telescope xrt and euv imaging spectrometer eis sot is poised to address many fundamental questions about solar magnetohydrodynamics note that this is an overview and the details of the instrument are presented in a series of companion papers | [['the', 'solar', 'optical', 'telescope', 'sot', 'aboard', 'the', 'hinode', 'satellite', 'formerly', 'called', 'solarb', 'consists', 'of', 'the', 'optical', 'telescope', 'assembly', 'ota', 'and', 'the', 'focal', 'plane', 'package', 'fpp', 'the', 'ota', 'is', 'a', '50', 'cm', 'diffractionlimited', 'gregorian', 'telescope', 'and', 'the', 'fpp', 'includes', 'the', 'narrowband', 'nfi', 'and', 'wideband', 'bfi', 'filtergraphs', 'plus', 'the', 'stokes', 'spectropolarimeter', 'sp', 'sot', 'provides', 'unprecedented', 'high', 'resolution', 'photometric', 'and', 'vector', 'magnetic', 'images', 'of', 'the', 'photosphere', 'and', 'chromosphere', 'with', 'a', 'very', 'stable', 'point', 'spread', 'function', 'and', 'is', 'equipped', 'with', 'an', 'image', 'stabilization', 'system', 'that', 'reduces', 'the', 'error', 'to', 'less', 'than', '001', 'arcsec', 'rms', 'together', 'with', 'the', 'other', 'two', 'instruments', 'on', 'hinode', 'the', 'xray', 'telescope', 'xrt', 'and', 'euv', 'imaging', 'spectrometer', 'eis', 'sot', 'is', 'poised', 'to', 'address', 'many', 'fundamental', 'questions', 'about', 'solar', 'magnetohydrodynamics', 'note', 'that', 'this', 'is', 'an', 'overview', 'and', 'the', 'details', 'of', 'the', 'instrument', 'are', 'presented', 'in', 'a', 'series', 'of', 'companion', 'papers']] | [-0.1185410050947192, 0.12692166473159913, -0.020175500716810135, 0.07315557557379106, -0.14158945801212405, -0.11740516341439224, -0.04135517129864897, 0.469928549262729, -0.18212942309324107, -0.3627255552713453, 0.13834985880007844, -0.3351194485478158, -0.1369402775648016, 0.31825596674678536, -0.11017121930681441, 0.02347876576122141, 0.1367789850413908, -0.13127713801550006, -0.02347406682755499, -0.2023485715162811, 0.21587332320589925, 0.192411723730654, 0.2171882662911947, -0.07022378702790741, 0.1745630549062995, -0.04714505661816003, -0.0612370552202809, -0.02635690176274872, -0.10572613245201294, 0.08811823964241321, 0.2300979991776556, 0.08950839434022995, 0.21829130550350206, -0.38921849056398566, -0.16694160976385983, -0.033471917879706534, 0.1170221750325367, -0.08737475365182779, 0.009204838816654345, -0.3210611094102046, 0.024631247067157806, -0.07703922952722458, -0.1289784942437507, 0.06258248467079915, 0.001037458397182942, 0.014893751630286741, -0.2595381325409904, -0.07035405665336952, -0.03183012668478445, 0.19927715490075903, -0.13401018491144, -0.0733835768646282, -0.029602012287716577, 0.1206619945273184, -0.028354668154476386, 0.09522773994364007, 0.09264478620641396, -0.09617900409749335, -0.011422740757791665, 0.3278032605515888, -0.050616450990693826, 0.015238185216040506, 0.11744402683455579, -0.243698093333166, -0.10806755836624789, 0.1898119401077937, 0.14374721206955776, 0.05669887991703666, -0.15190008836016602, 0.09312412778364264, -0.04447256210158124, 0.2624423765812331, 0.07533588689704337, 0.07475583631219003, 0.2283467912543429, 0.15825417741919004, 0.11034945193227774, 0.1100875885573379, -0.37606081745696057, -0.0038962153111156213, -0.23117474576689467, -0.16793513999415738, -0.13387799605363504, 0.06035551994046482, -0.07022972437162224, -0.13810445866454052, 0.3978965320678795, 0.16848447326278437, 0.13110914298360418, -0.012288109944066046, 0.39002273929217, 0.06334616287856153, 0.09145513194252866, 0.02393365939603235, 0.3046084626808926, 0.1570642876054711, 0.2355199580923756, -0.20360066949722977, -0.054675578758338075, 0.06498196065242327] |
711.1716 | Chern-Simons theory, analytic continuation and arithmetic | The purpose of the paper is to introduce some conjectures regarding the
analytic continuation and the arithmetic properties of quantum invariants of
knotted objects. More precisely, we package the perturbative and
nonperturbative invariants of knots and 3-manifolds into two power series of
type P and NP, convergent in a neighborhood of zero, and we postulate their
arithmetic resurgence. By the latter term, we mean analytic continuation as a
multivalued analytic function in the complex numbers minus a discrete set of
points, with restricted singularities, local and global monodromy. We point out
some key features of arithmetic resurgence in connection to various problems of
asymptotic expansions of exact and perturbative Chern-Simons theory with
compact or complex gauge group. Finally, we discuss theoretical and
experimental evidence for our conjecture.
| math.GT math.NT | the purpose of the paper is to introduce some conjectures regarding the analytic continuation and the arithmetic properties of quantum invariants of knotted objects more precisely we package the perturbative and nonperturbative invariants of knots and 3manifolds into two power series of type p and np convergent in a neighborhood of zero and we postulate their arithmetic resurgence by the latter term we mean analytic continuation as a multivalued analytic function in the complex numbers minus a discrete set of points with restricted singularities local and global monodromy we point out some key features of arithmetic resurgence in connection to various problems of asymptotic expansions of exact and perturbative chernsimons theory with compact or complex gauge group finally we discuss theoretical and experimental evidence for our conjecture | [['the', 'purpose', 'of', 'the', 'paper', 'is', 'to', 'introduce', 'some', 'conjectures', 'regarding', 'the', 'analytic', 'continuation', 'and', 'the', 'arithmetic', 'properties', 'of', 'quantum', 'invariants', 'of', 'knotted', 'objects', 'more', 'precisely', 'we', 'package', 'the', 'perturbative', 'and', 'nonperturbative', 'invariants', 'of', 'knots', 'and', '3manifolds', 'into', 'two', 'power', 'series', 'of', 'type', 'p', 'and', 'np', 'convergent', 'in', 'a', 'neighborhood', 'of', 'zero', 'and', 'we', 'postulate', 'their', 'arithmetic', 'resurgence', 'by', 'the', 'latter', 'term', 'we', 'mean', 'analytic', 'continuation', 'as', 'a', 'multivalued', 'analytic', 'function', 'in', 'the', 'complex', 'numbers', 'minus', 'a', 'discrete', 'set', 'of', 'points', 'with', 'restricted', 'singularities', 'local', 'and', 'global', 'monodromy', 'we', 'point', 'out', 'some', 'key', 'features', 'of', 'arithmetic', 'resurgence', 'in', 'connection', 'to', 'various', 'problems', 'of', 'asymptotic', 'expansions', 'of', 'exact', 'and', 'perturbative', 'chernsimons', 'theory', 'with', 'compact', 'or', 'complex', 'gauge', 'group', 'finally', 'we', 'discuss', 'theoretical', 'and', 'experimental', 'evidence', 'for', 'our', 'conjecture']] | [-0.1944612218167882, 0.04279433208422398, -0.16303202196017025, 0.12268793802822053, -0.10442415992252704, -0.11508938577392791, 0.06803476765974587, 0.31342563412966223, -0.26368739787401174, -0.24210883528874147, 0.09416117387233434, -0.26864101024029235, -0.20244659564923495, 0.18938740449004227, -0.07484099512560455, 0.11129032574066026, 0.020752423582231904, 0.040694877721633264, -0.09848675186797155, -0.2448738064730584, 0.36640973947575595, -0.03553538933473339, 0.16095531793443238, 0.08284194355621552, 0.07512361276711477, -0.013586440680027888, -0.05973838728771904, 0.007710786792999647, -0.16560211921052084, 0.16461685174108137, 0.26040226729278726, 0.09093484934236062, 0.23498897149601555, -0.4450971535957, -0.1522616159306531, 0.12176009359600859, 0.15455199666259403, 0.0669366756718107, -0.01590138962769635, -0.25674478372368287, 0.12383017508225061, -0.14976638516660515, -0.19195889006460481, -0.12278174621549867, 0.03637797932514525, 0.034059796181661404, -0.20680512573687346, 0.04038932290309527, 0.050531545301943315, 0.1394034634586277, -0.0354801960029148, -0.08826959079432148, 0.012963334951865099, 0.10278503620799073, 0.08893218303766601, 0.037835267335763124, 0.0714945414059568, -0.16571939232443847, -0.13328500090562923, 0.3387685601753513, -0.041867184982998074, -0.20557916332146256, 0.1585612882966337, -0.15990272891253057, -0.20980605081743084, 0.09321133257348208, 0.09888514442787337, 0.1567880227340488, -0.0532378741635347, 0.15784574346616864, -0.06106344254790094, 0.08372284724367013, 0.08433781753433502, 0.033115959788606625, 0.1820813806633113, 0.044989827221010144, 0.01028223479107961, 0.14131889753703644, 0.007127356138465354, -0.12914231352830732, -0.3925775385381082, -0.18496557355099394, -0.1277371604897551, 0.1170455520664613, -0.13993936655657938, -0.2276266121386191, 0.42936640679396276, 0.0910142795256097, 0.17299170146776935, 0.11537350282645015, 0.27299470517153696, 0.11145655850283563, -0.0020381999825398755, 0.03638526506531309, 0.1439664486637999, 0.18638666253170277, 0.001977938447352939, -0.18198989096691642, -0.038769387114356735, 0.17369897355963512] |
711.1717 | Isospin and momentum dependence of liquid-gas phase transition in hot
asymmetric nuclear matter | The liquid-gas phase transition in hot neutron-rich nuclear matter is
investigated within a self-consistent thermal model using different
interactions with or without isospin and/or momentum dependence. The boundary
of the phase-coexistence region is shown to be sensitive to the density
dependence of the nuclear symmetry energy as well as the isospin and momentum
dependence of the nuclear interaction.
| nucl-th | the liquidgas phase transition in hot neutronrich nuclear matter is investigated within a selfconsistent thermal model using different interactions with or without isospin andor momentum dependence the boundary of the phasecoexistence region is shown to be sensitive to the density dependence of the nuclear symmetry energy as well as the isospin and momentum dependence of the nuclear interaction | [['the', 'liquidgas', 'phase', 'transition', 'in', 'hot', 'neutronrich', 'nuclear', 'matter', 'is', 'investigated', 'within', 'a', 'selfconsistent', 'thermal', 'model', 'using', 'different', 'interactions', 'with', 'or', 'without', 'isospin', 'andor', 'momentum', 'dependence', 'the', 'boundary', 'of', 'the', 'phasecoexistence', 'region', 'is', 'shown', 'to', 'be', 'sensitive', 'to', 'the', 'density', 'dependence', 'of', 'the', 'nuclear', 'symmetry', 'energy', 'as', 'well', 'as', 'the', 'isospin', 'and', 'momentum', 'dependence', 'of', 'the', 'nuclear', 'interaction']] | [-0.07342847360193665, 0.25057671537044746, -0.14066301669688605, 0.1039262197245362, -0.05700744155409007, -0.07006683806760301, 0.007671265304891457, 0.32372465575563497, -0.2249879995842689, -0.33627593270021267, 0.01844708937629736, -0.2848691795631472, 0.0110374877092846, 0.03362520017404238, 0.11718425311997195, 0.04075524320922278, -0.07418770305330641, 0.06883739811721547, -0.14203072145003184, -0.0841016879923449, 0.3706827827022764, 0.08884771788043194, 0.23357239665848942, 0.20009543851082182, 0.045300715297845934, 0.020149033721375824, 0.04766660703121331, 0.01892006922320559, -0.10921989128411073, -0.04350639144279834, 0.24314535783848662, -0.04274822894387461, 0.15007029568519573, -0.4488466102951046, -0.23455456405043087, 0.11916335596269446, 0.12451980113662009, 0.13950404781719733, -0.1098546461475178, -0.2901727194287654, -0.01884642561319573, -0.2361934794562644, -0.16335112800026827, -0.10663699270386634, 0.01902895939440049, 0.06087481355744189, -0.28741122907477207, 0.1826282719567675, -0.008874784671332174, 0.03531998190386542, -0.1047851197774811, -0.16176515157687768, -0.10720591218981507, 0.040978831379545916, 0.07703639227086036, 0.05670740130228986, 0.2529635482070293, -0.17335193570510582, 0.01722269917934619, 0.432558864901035, -0.01610670911132133, -0.1362602037281312, 0.1619896974478816, -0.18098650827746968, -0.0963509850653595, 0.15728989529327073, 0.14155320148786593, 0.10281878749936305, -0.15239618008892084, 0.08041662634410575, 0.018517341183755417, 0.18128993233328622, 0.0013002164958944094, 0.08098398229299948, 0.20798307276282715, 0.20652213292838684, 0.015299059434569088, 0.10362601843622417, -0.14333319162612718, -0.18237325654300893, -0.301460361846819, -0.06743839623984592, -0.1789801873844759, 0.004260713884863874, -0.08875277542869424, -0.11369024542439328, 0.38023712349541744, 0.04892933509986976, 0.2302125038274018, -0.09120744718881003, 0.3133125803674218, 0.1105780966764573, 0.08888704568179774, 0.06742166014837808, 0.3051903756849211, 0.23952993416580662, 0.10142291484978692, -0.37616381898586604, 0.07512059733111026, 0.009903048666932717] |
711.1718 | Central limit theorem for linear eigenvalue statistics of orthogonally
invariant matrix models | We prove central limit theorem for linear eigenvalue statistics of
orthogonally invariant ensembles of random matrices with one interval limiting
spectrum. We consider ensembles with real analytic potentials and test
functions with two bounded derivatives.
| math-ph math.MP | we prove central limit theorem for linear eigenvalue statistics of orthogonally invariant ensembles of random matrices with one interval limiting spectrum we consider ensembles with real analytic potentials and test functions with two bounded derivatives | [['we', 'prove', 'central', 'limit', 'theorem', 'for', 'linear', 'eigenvalue', 'statistics', 'of', 'orthogonally', 'invariant', 'ensembles', 'of', 'random', 'matrices', 'with', 'one', 'interval', 'limiting', 'spectrum', 'we', 'consider', 'ensembles', 'with', 'real', 'analytic', 'potentials', 'and', 'test', 'functions', 'with', 'two', 'bounded', 'derivatives']] | [-0.12913404793611594, 0.12977204413286278, -0.05480612819748265, 0.07637712183807577, 0.03503429469253336, -0.17070546011839594, -0.019254380158547843, 0.39788121432065965, -0.21902507187000342, -0.18863627283966966, 0.11096900701522827, -0.31945453020078796, -0.13132302298077514, 0.15160432276981217, 0.0016653278909091439, 0.1869257771543094, 0.09432806350024683, 0.05264979388032641, -0.11419175192713737, -0.22162130739140723, 0.39537323072020497, -0.08104956064905439, 0.23905660110924926, 0.027188210295779364, 0.14401779132229942, 0.08494534915579217, -0.033502293551074605, -0.05862731025886855, -0.10385538982227445, 0.1163588210940361, 0.23886827155947685, 0.05989087167462068, 0.24320697119193418, -0.3588760618652616, -0.1572313468637211, 0.23790636177041702, 0.0753036242244499, 0.019455367060644286, 0.023273225547745822, -0.26844274646469524, 0.09600867648342891, -0.11718829487051283, -0.23993756600788663, -0.07053989994206598, 0.007796918880194426, 0.1144918686577252, -0.34525707768542424, 0.1201411271733897, 0.09744588381477765, 0.09140964142446006, -0.012369604328913347, -0.15582320263077107, 0.056474662685234635, 0.0906566766090691, 0.0135875054601846, -0.09069300558684128, 0.13664940455928445, -0.012244197885904994, -0.13261538190501077, 0.33156644379986183, -0.13368277406053883, -0.3132209245647703, 0.11349788711273244, -0.25329921107207026, -0.19552915526687034, 0.023605411898876938, 0.16248304934373925, 0.1262865515159709, -0.10535349957644939, 0.1743676040837142, -0.059335173347166606, 0.13150302014712775, 0.15459473167679139, 0.022243580707748022, 0.15386174007185868, 0.006526226709995951, 0.15328301566519908, 0.21764575545010822, 0.012382781439061677, -0.17020509839057923, -0.3044457733631134, -0.05749231590224164, -0.24129668113642505, 0.11818830626351493, -0.17401581805689992, -0.2576838627457619, 0.39222948934350693, 0.06538874952654754, 0.21082498260906765, 0.22602974245590823, 0.22795592990836927, 0.22916831182582037, -0.0193118244143469, 0.08995293879083224, 0.10891239643096924, 0.2678039680102042, -0.001495088796530451, -0.07101306321897677, -0.11555993596890143, 0.1302457094338024] |
711.1719 | Polygonization of carbon nanotubes | We use a multiscale procedure to derive a simple continuum model of
multiwalled carbon nanotubes that takes into account both strong covalent bonds
within graphene layers and weak bonds between atoms in different layers. The
model predicts polygonization of crossections of large multiwalled nanotubes as
a consequence of their curvature-induced turbostratic structure.
| cond-mat.mtrl-sci | we use a multiscale procedure to derive a simple continuum model of multiwalled carbon nanotubes that takes into account both strong covalent bonds within graphene layers and weak bonds between atoms in different layers the model predicts polygonization of crossections of large multiwalled nanotubes as a consequence of their curvatureinduced turbostratic structure | [['we', 'use', 'a', 'multiscale', 'procedure', 'to', 'derive', 'a', 'simple', 'continuum', 'model', 'of', 'multiwalled', 'carbon', 'nanotubes', 'that', 'takes', 'into', 'account', 'both', 'strong', 'covalent', 'bonds', 'within', 'graphene', 'layers', 'and', 'weak', 'bonds', 'between', 'atoms', 'in', 'different', 'layers', 'the', 'model', 'predicts', 'polygonization', 'of', 'crossections', 'of', 'large', 'multiwalled', 'nanotubes', 'as', 'a', 'consequence', 'of', 'their', 'curvatureinduced', 'turbostratic', 'structure']] | [-0.12783997976937547, 0.1332365524632713, -0.01804055647852902, 0.0006701622803050738, 0.029325928073376417, -0.18837769609840158, 0.14548389142594084, 0.4765822125885349, -0.28002964284790394, -0.24694904278462323, -0.08484391428646632, -0.2575944659586709, -0.16345197020564228, 0.057216734083620116, 0.03487669027750739, -0.05991277131341541, 0.09262908943660128, -0.17175610206770495, -0.0021034512230051826, -0.12571701522952375, 0.21888568064269537, 0.04576432396872686, 0.3448273985861586, 0.15814045157570106, 0.08428197793770008, 0.004074364228962133, 0.10527208554916657, 0.06763099854847845, -0.14070030504710582, 0.16064988328323054, 0.15091565041802824, -0.09537997777806595, 0.23148167291387486, -0.5944225233621322, -0.2393207827475495, -0.027418264331152804, 0.11885283246206549, 0.19661871354597119, 0.014907488805385163, -0.26178997980717283, 0.07165589645648232, -0.18152158940210938, -0.0795587887091992, -0.05983372598599929, 0.0280451956921472, 0.03421660892378826, -0.22587110608695254, 0.09240053880673188, 0.10668181312771943, 0.057124716793903366, -0.10719077987596393, -0.15589321055449545, -0.1445427365744343, 0.1070478396006645, 0.05359703760432939, -0.09102767525025858, 0.21522195273204348, -0.1038297801099431, -0.02878489607694344, 0.4719142180222731, -0.11686100821512249, -0.06461647991091013, 0.18602320046808857, -0.05757542771215622, -0.11356294258999136, 0.14941296998697978, 0.1319594343479436, 0.11243262514472008, -0.18896997309974933, 0.022612634346632358, -0.06075314403726505, 0.1571268601826607, 0.08709770527471286, 0.045203796827431336, 0.26832774725671, 0.24120452425156075, 0.017561624489294794, 0.19514701298724574, -0.12428477033077237, -0.053096133248450667, -0.21394952898845077, -0.21992999435259172, -0.14511017096587098, 0.06755645881192042, -0.151052322292134, -0.2722015683539212, 0.353896360584678, 0.04507684946740763, 0.22020649157751065, 0.031341639042903595, 0.19877358697032413, 0.027329148798554134, 0.14891086524585262, -0.07144617167516397, 0.23524369174041426, 0.26100189382067096, 0.017050546432773653, -0.15427839566165438, 0.07220589225359547, 0.049787114231059186] |
711.172 | Uniqueness Theorems for Meromorphic Mappings with Few Targets | The purpose of this article is to show uniqueness theorems for meromorphic
mappings of C^m to CP^n with few hyperplanes H_j, j=1,...,q. It is well known
that uniqueness theorems hold for q \geq 3n+2.
In this paper we show that for every nonnegative integer c there exists a
positive integer N(c), depending only on c in an explicit way, such that
uniqueness theorems hold if q\geq (3n+2 -c) and n\geq N(c). Furthermore, we
also show that the coefficient of n in the formula of q can be replaced by a
number which is strictly smaller than 3 for all n>>0. At the same time, a big
number of recent uniqueness theorems are generalized considerably.
| math.CV math.AG | the purpose of this article is to show uniqueness theorems for meromorphic mappings of cm to cpn with few hyperplanes h_j j1q it is well known that uniqueness theorems hold for q geq 3n2 in this paper we show that for every nonnegative integer c there exists a positive integer nc depending only on c in an explicit way such that uniqueness theorems hold if qgeq 3n2 c and ngeq nc furthermore we also show that the coefficient of n in the formula of q can be replaced by a number which is strictly smaller than 3 for all n0 at the same time a big number of recent uniqueness theorems are generalized considerably | [['the', 'purpose', 'of', 'this', 'article', 'is', 'to', 'show', 'uniqueness', 'theorems', 'for', 'meromorphic', 'mappings', 'of', 'cm', 'to', 'cpn', 'with', 'few', 'hyperplanes', 'h_j', 'j1q', 'it', 'is', 'well', 'known', 'that', 'uniqueness', 'theorems', 'hold', 'for', 'q', 'geq', '3n2', 'in', 'this', 'paper', 'we', 'show', 'that', 'for', 'every', 'nonnegative', 'integer', 'c', 'there', 'exists', 'a', 'positive', 'integer', 'nc', 'depending', 'only', 'on', 'c', 'in', 'an', 'explicit', 'way', 'such', 'that', 'uniqueness', 'theorems', 'hold', 'if', 'qgeq', '3n2', 'c', 'and', 'ngeq', 'nc', 'furthermore', 'we', 'also', 'show', 'that', 'the', 'coefficient', 'of', 'n', 'in', 'the', 'formula', 'of', 'q', 'can', 'be', 'replaced', 'by', 'a', 'number', 'which', 'is', 'strictly', 'smaller', 'than', '3', 'for', 'all', 'n0', 'at', 'the', 'same', 'time', 'a', 'big', 'number', 'of', 'recent', 'uniqueness', 'theorems', 'are', 'generalized', 'considerably']] | [-0.16530666348785816, 0.11110057393939075, -0.022502018488012254, 0.05236670568997955, -0.01153020465566793, -0.22615719320693692, 0.005664218743045798, 0.34242165066595925, -0.25165225099772215, -0.22589035243155403, 0.10545216366268792, -0.2787325582344477, -0.14317395504392488, 0.20956959179194087, -0.07382282704776644, 0.009514289836628003, 0.02358093420901385, 0.08583864049675564, -0.07250418698235431, -0.28979142804286984, 0.3323842584351568, -0.09715252445312217, 0.1684616818746323, 0.11843121354468167, 0.10166747779013556, 0.008166339562944415, 0.02802160316506368, 0.03068436910970169, -0.17153433623050723, 0.07525858591645629, 0.28485736504131765, 0.14153036927363197, 0.26450832454455003, -0.3578177966172868, -0.15155821705232947, 0.22208032414027115, 0.14899986569377544, 0.03275193339683475, -0.02309838487672734, -0.18514326059569916, 0.22478594976526342, -0.11515425209348139, -0.20496615040393776, -0.05626895844021387, 0.12633010363124572, 0.019588957524351906, -0.3138587387245998, 0.05087289947525214, 0.1783266942794925, 0.04714975461951996, -0.04889828748102382, -0.1783096263886699, -0.03668900974413478, 0.0612446875964994, 0.02275399738113935, 0.09217155201405515, 0.01370025163040529, -0.06793403165749878, -0.10367839336558654, 0.3085555218307203, -0.05433596468700623, -0.24664213081102884, 0.11945674567291382, -0.1862002928483937, -0.20672519897568253, 0.10096905114161864, 0.09409462639208262, 0.17394473408593944, -0.0387745072427941, 0.19349497981653385, -0.13236698817835482, 0.1733112276548095, 0.16586344516345938, 0.014833052507846764, 0.09381730013053145, 0.06680626561048261, 0.1364889365187928, 0.1094211329360852, 0.01988934076252279, -0.010857570646820884, -0.38764261934710176, -0.19549768965480963, -0.1885815062897133, 0.1582809158257748, -0.14868347499947976, -0.1181641754912817, 0.2860700435152179, 0.12078511751085323, 0.17766753764692367, 0.15433586918311848, 0.21856346557615325, 0.11109852989351279, 0.01696896796388421, 0.11048071199554231, 0.14420297171659113, 0.1357929731020704, 0.06400423829868566, -0.10086671038471538, 0.012489719313299773, 0.12796376280592786] |
711.1721 | Status of Deeply Inelastic Parton Distributions | A brief review on the status of unpolarized parton densities and the
determination of the QCD scale $\Lambda_{\rm QCD}$ from deep-inelastic
scattering data is presented.
| hep-ph hep-ex hep-lat | a brief review on the status of unpolarized parton densities and the determination of the qcd scale lambda_rm qcd from deepinelastic scattering data is presented | [['a', 'brief', 'review', 'on', 'the', 'status', 'of', 'unpolarized', 'parton', 'densities', 'and', 'the', 'determination', 'of', 'the', 'qcd', 'scale', 'lambda_rm', 'qcd', 'from', 'deepinelastic', 'scattering', 'data', 'is', 'presented']] | [-0.044754943549633025, 0.2561689158529043, -0.14316008947789668, 0.12893209072295575, -0.06295171543955803, 0.06674910784699023, 0.006046803332865238, 0.356846441924572, -0.1191910482943058, -0.15288340121507646, 0.0655573384463787, -0.37954221352934836, 0.06963119745254516, 0.08530844390392303, 0.1170956090465188, 0.1141392895579338, 0.07906296730041504, -0.05063163168728352, -0.1239878436550498, -0.18564993552863598, 0.4155790087580681, 0.09098186599090695, 0.28991933733224867, 0.2849912292510271, 0.052386285145767035, 0.15221119603142141, -0.21810874052345752, -0.11054112657904624, -0.18808005746454, 0.09278620135039091, 0.2622947213426232, 0.08582033563405275, 0.010426841229200363, -0.39544489480555056, -0.0802569922991097, -0.023461034689098596, 0.09908047807402909, 0.12187441809102893, -0.022355189290829004, -0.2430184341967106, -0.01888725470751524, -0.2186437451839447, -0.14366756722331048, -0.10543895805254579, -0.03301013581454754, 0.003127642497420311, -0.2913179323077202, 0.055947760716080666, -0.1314229267835617, 0.012472639828920364, 0.020005330070853235, -0.30990873962640764, 0.019660546109080315, -0.03209312632679939, 0.12914925579912961, 0.18133139373734594, 0.17112681716680528, -0.2808180187270045, -0.16379101730883122, 0.48106199249625203, 0.015172543823719025, -0.06624613732099532, 0.05090264140162617, -0.2370925749465823, -0.16066109193488956, 0.139951835796237, 0.24766299232840538, 0.10993948221206665, -0.23015660051256417, 0.1434473181492649, -0.049342272784560916, 0.19089235678315164, 0.043157625272870065, 0.06517906427383423, 0.2409684694558382, 0.3024346847832203, -0.08581900302320719, -0.030300675481557845, -0.10945863011293114, -0.12905574426054955, -0.4793701694905758, -0.020414416622370483, -0.16756082579493523, 0.1551424128189683, -0.10669824657903519, -0.12414247874170542, 0.35116080671548844, 0.17282926127314568, 0.28358523070812225, 0.03972031304612756, 0.396629029661417, 0.07650807697325945, 0.010006818696856499, 0.04179640054702759, 0.20123059645295144, 0.21240003112703562, 0.19579945469275117, -0.29894157056696713, -0.002825956679880619, 0.09082793831825256] |
711.1722 | A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes | In a previous paper arXiv:0707.2775 [gr-qc] we showed that stationary
asymptotically flat vacuum black hole solutions in 5 dimensions with two
commuting axial Killing fields can be completely characterized by their mass,
angular momentum, a set of real moduli, and a set of winding numbers. In this
paper we generalize our analysis to include Maxwell fields.
| gr-qc | in a previous paper arxiv07072775 grqc we showed that stationary asymptotically flat vacuum black hole solutions in 5 dimensions with two commuting axial killing fields can be completely characterized by their mass angular momentum a set of real moduli and a set of winding numbers in this paper we generalize our analysis to include maxwell fields | [['in', 'a', 'previous', 'paper', 'arxiv07072775', 'grqc', 'we', 'showed', 'that', 'stationary', 'asymptotically', 'flat', 'vacuum', 'black', 'hole', 'solutions', 'in', '5', 'dimensions', 'with', 'two', 'commuting', 'axial', 'killing', 'fields', 'can', 'be', 'completely', 'characterized', 'by', 'their', 'mass', 'angular', 'momentum', 'a', 'set', 'of', 'real', 'moduli', 'and', 'a', 'set', 'of', 'winding', 'numbers', 'in', 'this', 'paper', 'we', 'generalize', 'our', 'analysis', 'to', 'include', 'maxwell', 'fields']] | [-0.2008161072703925, 0.17857569296928968, -0.0487982524220239, 0.030074108753946015, -0.07255647629499436, -0.08789087006483566, -0.007431730882010676, 0.33125232466581195, -0.15323235053061085, -0.30272117078261956, 0.07622708463776771, -0.25071396976709365, -0.1464239877817983, 0.1694364465942437, -0.10116631378504364, 0.04976449019529603, 0.01010065558789806, 0.012500259178605947, -0.05328990556723015, -0.29622929971665146, 0.43251850205388936, -0.032058947736566715, 0.25046230893243443, -0.015690296308391475, 0.10901243887333707, -0.025919553252275695, -0.029675282087092372, 0.1172652231529355, -0.1338129529947764, 0.07281841192055832, 0.23884608089415865, 0.08816917945038188, 0.18154209100387314, -0.37797501794993876, -0.17543784808579155, 0.131135354089466, 0.17725234575230966, 0.1406345481222326, -0.060398737391964955, -0.25444628362628546, 0.0682351211763241, -0.18567024327137255, -0.21240041177211838, -0.1305173054506833, 0.03313071643086997, -0.006925113905559887, -0.25231117106635464, 0.10305882627991113, 0.07299207305451008, 0.02126446616920558, -0.14361621552062306, -0.08894889629763467, -0.06328426582992754, 0.045111112914640795, 0.13109414933080024, 0.04541231356561184, 0.09443479543551803, -0.07085592211224138, -0.15208429054103115, 0.28620725188573654, -0.05002143430438909, -0.30918646678328515, 0.14794431680982764, -0.22302082710137422, -0.10306931058452888, 0.11885776325044307, 0.1638748673129488, 0.18610888314010068, -0.14685094927183606, 0.15145249703623861, -0.08237108583138748, 0.12168847041373904, 0.17661622058261525, 0.009653763295235958, 0.2815407704223286, 0.04732848002829335, 0.024673250639303163, 0.14515314067036592, -0.02570505751804872, -0.06790085411207243, -0.3301564906808463, -0.1868865284391425, -0.16309062797914853, 0.17453925335483456, -0.10481059557139154, -0.15516875895925544, 0.4022902072153308, 0.12311869712377137, 0.21741582841019738, 0.08697326843711463, 0.2321961312470111, 0.037526234292785045, 0.034105548470027065, 0.14287233310328287, 0.26110825667327103, 0.1522619317412715, 0.13843769586899063, -0.15263870382596822, -0.1459285658191551, 0.08870746207169511] |
711.1723 | An analysis of a random algorithm for estimating all the matchings | Counting the number of all the matchings on a bipartite graph has been
transformed into calculating the permanent of a matrix obtained from the
extended bipartite graph by Yan Huo, and Rasmussen presents a simple approach
(RM) to approximate the permanent, which just yields a critical ratio
O($n\omega(n)$) for almost all the 0-1 matrices, provided it's a simple
promising practical way to compute this #P-complete problem. In this paper, the
performance of this method will be shown when it's applied to compute all the
matchings based on that transformation. The critical ratio will be proved to be
very large with a certain probability, owning an increasing factor larger than
any polynomial of $n$ even in the sense for almost all the 0-1 matrices. Hence,
RM fails to work well when counting all the matchings via computing the
permanent of the matrix. In other words, we must carefully utilize the known
methods of estimating the permanent to count all the matchings through that
transformation.
| cs.CC cs.DM | counting the number of all the matchings on a bipartite graph has been transformed into calculating the permanent of a matrix obtained from the extended bipartite graph by yan huo and rasmussen presents a simple approach rm to approximate the permanent which just yields a critical ratio onomegan for almost all the 01 matrices provided its a simple promising practical way to compute this pcomplete problem in this paper the performance of this method will be shown when its applied to compute all the matchings based on that transformation the critical ratio will be proved to be very large with a certain probability owning an increasing factor larger than any polynomial of n even in the sense for almost all the 01 matrices hence rm fails to work well when counting all the matchings via computing the permanent of the matrix in other words we must carefully utilize the known methods of estimating the permanent to count all the matchings through that transformation | [['counting', 'the', 'number', 'of', 'all', 'the', 'matchings', 'on', 'a', 'bipartite', 'graph', 'has', 'been', 'transformed', 'into', 'calculating', 'the', 'permanent', 'of', 'a', 'matrix', 'obtained', 'from', 'the', 'extended', 'bipartite', 'graph', 'by', 'yan', 'huo', 'and', 'rasmussen', 'presents', 'a', 'simple', 'approach', 'rm', 'to', 'approximate', 'the', 'permanent', 'which', 'just', 'yields', 'a', 'critical', 'ratio', 'onomegan', 'for', 'almost', 'all', 'the', '01', 'matrices', 'provided', 'its', 'a', 'simple', 'promising', 'practical', 'way', 'to', 'compute', 'this', 'pcomplete', 'problem', 'in', 'this', 'paper', 'the', 'performance', 'of', 'this', 'method', 'will', 'be', 'shown', 'when', 'its', 'applied', 'to', 'compute', 'all', 'the', 'matchings', 'based', 'on', 'that', 'transformation', 'the', 'critical', 'ratio', 'will', 'be', 'proved', 'to', 'be', 'very', 'large', 'with', 'a', 'certain', 'probability', 'owning', 'an', 'increasing', 'factor', 'larger', 'than', 'any', 'polynomial', 'of', 'n', 'even', 'in', 'the', 'sense', 'for', 'almost', 'all', 'the', '01', 'matrices', 'hence', 'rm', 'fails', 'to', 'work', 'well', 'when', 'counting', 'all', 'the', 'matchings', 'via', 'computing', 'the', 'permanent', 'of', 'the', 'matrix', 'in', 'other', 'words', 'we', 'must', 'carefully', 'utilize', 'the', 'known', 'methods', 'of', 'estimating', 'the', 'permanent', 'to', 'count', 'all', 'the', 'matchings', 'through', 'that', 'transformation']] | [-0.11035290386823846, 0.09776824292301756, -0.04689876786375671, 0.05446523848675295, -0.04425920671955855, -0.11823508204650823, 0.058261137101425574, 0.3382717708332671, -0.2717152098050042, -0.3147737633057491, 0.12004808399662445, -0.25675608550002915, -0.1549153142094175, 0.19169510936078524, -0.06802753317687246, 0.07154675223792753, 0.0586666701602991, 0.08226997914643568, -0.07606495259022739, -0.29735831827403875, 0.2663523015216924, 0.04243779581982964, 0.2679620541511448, 0.06972631420595227, 0.07755480584958684, 0.046532176314266746, -0.0024686749265701684, 0.06070835148501727, -0.11040846944722292, 0.13046448532546537, 0.2626932050248056, 0.15504362269011498, 0.22973605865371172, -0.38640322932185905, -0.13483112153344223, 0.21695088093919265, 0.14954330607455363, 0.10104463008206545, -0.019737889229917874, -0.23098301596617626, 0.14810960267291026, -0.1713593506058793, -0.09748719822626883, -0.06796940583678215, 0.05294802139605177, 0.010066665720516517, -0.2875107890440519, -0.016758868602878074, 0.07446141583617938, 0.0009352319275983321, 0.018854481304627784, -0.15735220887272813, 0.0283097227630033, 0.12070606123939168, -0.004488200869089291, 0.03946888492224209, 0.058619528336243495, -0.10863481505406032, -0.11147025237966582, 0.4048750098610734, -0.03473627406798007, -0.20255958886865963, 0.1268810130322329, -0.1372221755237537, -0.1433875141751573, 0.1405980904003818, 0.10786985272051548, 0.13691917234201006, -0.13722751248375667, 0.0806499061671971, -0.09077205256857898, 0.14015607635151411, 0.09098003481020346, -0.014371729741896284, 0.15844629849393474, 0.09881105866674104, 0.13235866278409958, 0.1599089481999356, -0.024983431226976306, -0.051318933074879974, -0.23357315205704468, -0.14472511221502368, -0.2410282270356231, 0.07029439905876822, -0.13191769800116926, -0.19629954159842591, 0.39884960814666603, 0.13676460439419766, 0.21291619783014426, 0.10786138733426386, 0.2748031036290168, 0.14081586907433782, 0.07164740434238388, 0.10990781625042911, 0.1857893022099211, 0.14665402349136356, 0.041510607159041146, -0.16912674120868798, 0.09046903321301036, 0.09183985195525082] |
711.1724 | The Stability of an Expanding Circular Cavity and the Failure of
Amorphous Solids | Recently, the existence and properties of unbounded cavity modes, resulting
in extensive plastic deformation failure of two-dimensional sheets of amorphous
media, were discussed in the context of the athermal Shear-Transformation-Zones
(STZ) theory. These modes pertain to perfect circular symmetry of the cavity
and the stress conditions. In this paper we study the shape stability of the
expanding circular cavity against perturbations, in both the unbounded and the
bounded growth regimes (for the latter the unperturbed theory predicts no
catastrophic failure). Since the unperturbed reference state is time dependent,
the linear stability theory cannot be cast into standard time-independent
eigenvalue analysis. The main results of our study are: (i) sufficiently small
perturbations are stable, (ii) larger perturbations within the formal linear
decomposition may lead to an instability; this dependence on the magnitude of
the perturbations in the linear analysis is a result of the non-stationarity of
the growth, (iii) the stability of the circular cavity is particularly
sensitive to perturbations in the effective disorder temperature; in this
context we highlight the role of the rate sensitivity of the limiting value of
this effective temperature. Finally we point to the importance of the form of
the stress-dependence of the rate of STZ transitions. The present analysis
indicates the importance of nonlinear effects that were not taken into account
yet. Even more importantly, the analysis suggests that details of the
constitutive relations appearing in the theory can be constrained by the modes
of macroscopic failure in these amorphous systems.
| cond-mat.mtrl-sci | recently the existence and properties of unbounded cavity modes resulting in extensive plastic deformation failure of twodimensional sheets of amorphous media were discussed in the context of the athermal sheartransformationzones stz theory these modes pertain to perfect circular symmetry of the cavity and the stress conditions in this paper we study the shape stability of the expanding circular cavity against perturbations in both the unbounded and the bounded growth regimes for the latter the unperturbed theory predicts no catastrophic failure since the unperturbed reference state is time dependent the linear stability theory cannot be cast into standard timeindependent eigenvalue analysis the main results of our study are i sufficiently small perturbations are stable ii larger perturbations within the formal linear decomposition may lead to an instability this dependence on the magnitude of the perturbations in the linear analysis is a result of the nonstationarity of the growth iii the stability of the circular cavity is particularly sensitive to perturbations in the effective disorder temperature in this context we highlight the role of the rate sensitivity of the limiting value of this effective temperature finally we point to the importance of the form of the stressdependence of the rate of stz transitions the present analysis indicates the importance of nonlinear effects that were not taken into account yet even more importantly the analysis suggests that details of the constitutive relations appearing in the theory can be constrained by the modes of macroscopic failure in these amorphous systems | [['recently', 'the', 'existence', 'and', 'properties', 'of', 'unbounded', 'cavity', 'modes', 'resulting', 'in', 'extensive', 'plastic', 'deformation', 'failure', 'of', 'twodimensional', 'sheets', 'of', 'amorphous', 'media', 'were', 'discussed', 'in', 'the', 'context', 'of', 'the', 'athermal', 'sheartransformationzones', 'stz', 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711.1725 | Unexpected features of e+e-->ppbar and e+e-->lambda-lambdabar cross
sections near threshold | Unexpected features of the BaBar data on e+e- in baryon-antibaryon cross
sections are discussed. These data have been collected, with unprecedented
accuracy, by means of the initial state radiation technique, which is
particularly suitable in giving good acceptance and energy resolution at
threshold. A striking feature observed in the BaBar data is the non-vanishing
cross section at threshold for all these processes. This is the expectation due
to the Coulomb enhancement factor acting on a charged fermion pair. In the case
of e+e- in proton-antiproton it is found that Coulomb final state interactions
largely dominate the cross section and the form factor is |G^p(4M^2_p)|~1,
which could be a general feature for baryons. In the case of neutral baryons an
interpretation of the non-vanishing cross section at threshold is suggested,
based on quark electromagnetic interaction and taking into account the
asymmetry between attractive and repulsive Coulomb factors. Besides strange
baryon cross sections are compared to U-spin invariance predictions.
| hep-ph | unexpected features of the babar data on ee in baryonantibaryon cross sections are discussed these data have been collected with unprecedented accuracy by means of the initial state radiation technique which is particularly suitable in giving good acceptance and energy resolution at threshold a striking feature observed in the babar data is the nonvanishing cross section at threshold for all these processes this is the expectation due to the coulomb enhancement factor acting on a charged fermion pair in the case of ee in protonantiproton it is found that coulomb final state interactions largely dominate the cross section and the form factor is gp4m2_p1 which could be a general feature for baryons in the case of neutral baryons an interpretation of the nonvanishing cross section at threshold is suggested based on quark electromagnetic interaction and taking into account the asymmetry between attractive and repulsive coulomb factors besides strange baryon cross sections are compared to uspin invariance predictions | [['unexpected', 'features', 'of', 'the', 'babar', 'data', 'on', 'ee', 'in', 'baryonantibaryon', 'cross', 'sections', 'are', 'discussed', 'these', 'data', 'have', 'been', 'collected', 'with', 'unprecedented', 'accuracy', 'by', 'means', 'of', 'the', 'initial', 'state', 'radiation', 'technique', 'which', 'is', 'particularly', 'suitable', 'in', 'giving', 'good', 'acceptance', 'and', 'energy', 'resolution', 'at', 'threshold', 'a', 'striking', 'feature', 'observed', 'in', 'the', 'babar', 'data', 'is', 'the', 'nonvanishing', 'cross', 'section', 'at', 'threshold', 'for', 'all', 'these', 'processes', 'this', 'is', 'the', 'expectation', 'due', 'to', 'the', 'coulomb', 'enhancement', 'factor', 'acting', 'on', 'a', 'charged', 'fermion', 'pair', 'in', 'the', 'case', 'of', 'ee', 'in', 'protonantiproton', 'it', 'is', 'found', 'that', 'coulomb', 'final', 'state', 'interactions', 'largely', 'dominate', 'the', 'cross', 'section', 'and', 'the', 'form', 'factor', 'is', 'gp4m2_p1', 'which', 'could', 'be', 'a', 'general', 'feature', 'for', 'baryons', 'in', 'the', 'case', 'of', 'neutral', 'baryons', 'an', 'interpretation', 'of', 'the', 'nonvanishing', 'cross', 'section', 'at', 'threshold', 'is', 'suggested', 'based', 'on', 'quark', 'electromagnetic', 'interaction', 'and', 'taking', 'into', 'account', 'the', 'asymmetry', 'between', 'attractive', 'and', 'repulsive', 'coulomb', 'factors', 'besides', 'strange', 'baryon', 'cross', 'sections', 'are', 'compared', 'to', 'uspin', 'invariance', 'predictions']] | [-0.1001452862395896, 0.1522674351694243, -0.09174278002562157, 0.13153279241464005, -0.02371397666567459, -0.09925322471938741, 0.013661134760835782, 0.3415312257905801, -0.1746069717777666, -0.2854752247281468, -0.045804358462098606, -0.3684881007245097, -0.012534639329458468, 0.15615771843108517, 0.08041373321499962, 0.07863398497022736, 0.09007785839807744, 0.05904017098976347, -0.014863098074550716, -0.2405194119678643, 0.3437440259492574, 0.10029123146355581, 0.2979610537011654, 0.1845478397489597, 0.06758588399866429, 0.024112324384100832, -0.03261766530788289, -0.00881546953967653, -0.08032353408956484, 0.06052843663163889, 0.2569084449280173, 0.0387380100810566, 0.14123878077579996, -0.3723755444859704, -0.11090252090406676, 0.13717605628950807, 0.13880921485505474, 0.11776673090524781, -0.0709436875999344, -0.32404611913117176, 0.0748893686880668, -0.19479853743112657, -0.10170314771806797, -0.07709226752511966, 0.04984208348338516, -0.03148450286915669, -0.3043769591828235, 0.11414766042099263, -0.004550594158876591, 0.022469166883428652, -0.05546546484289978, -0.18279238606919535, -0.05046761720381582, 0.0303015543673283, 0.0838956852534559, 0.03713911519653033, 0.16198945889183775, -0.18628122543360895, -0.09625990182244912, 0.3752446287454894, -0.034374120988501, -0.16668749660349044, 0.13875927729681373, -0.17905311011530173, -0.09374652455041471, 0.2017124148984201, 0.20549236106662414, 0.03619640513221757, -0.18398055411839428, 0.11152700437919404, 0.004970799612167936, 0.1357419872417664, 0.10872006713627623, 0.05589729591716045, 0.19669809713899994, 0.19921311781777498, -0.018534964008722454, 0.060284265101355955, -0.08604879201037618, -0.10949352055561179, -0.3677725677187435, -0.11619200655527842, -0.0950402050519374, 0.05931916555840498, -0.04096577565127145, -0.08491635452717161, 0.3359677231814996, 0.06677679746644571, 0.32167129145594886, -0.037507596786898106, 0.3197457031958784, 0.15490298374042583, 0.10339843101787548, 0.025778160663321614, 0.33534709914611316, 0.14387244180901548, 0.1014326070703996, -0.22799973245948935, 0.07231729597342798, 0.03793603058707399] |
711.1726 | Anomalous diffusion and quasistationarity in the HMF model | We explore the quasistationary regime of the Hamiltonian Mean Field Model
(HMF) showing that at least three different classes of events exist, with a
different diffusive behavior and with a relative frequency which depends on the
size of the system. Along the same line of a recent work \cite{epl}, these
results indicate that one must be very careful in exchanging time averages with
ensemble averages during the non-ergodic metastable regime and at the same time
they emphasize the role of finite size effects in the evaluation of the
diffusive properties of the system.
| cond-mat.stat-mech nucl-th | we explore the quasistationary regime of the hamiltonian mean field model hmf showing that at least three different classes of events exist with a different diffusive behavior and with a relative frequency which depends on the size of the system along the same line of a recent work citeepl these results indicate that one must be very careful in exchanging time averages with ensemble averages during the nonergodic metastable regime and at the same time they emphasize the role of finite size effects in the evaluation of the diffusive properties of the system | [['we', 'explore', 'the', 'quasistationary', 'regime', 'of', 'the', 'hamiltonian', 'mean', 'field', 'model', 'hmf', 'showing', 'that', 'at', 'least', 'three', 'different', 'classes', 'of', 'events', 'exist', 'with', 'a', 'different', 'diffusive', 'behavior', 'and', 'with', 'a', 'relative', 'frequency', 'which', 'depends', 'on', 'the', 'size', 'of', 'the', 'system', 'along', 'the', 'same', 'line', 'of', 'a', 'recent', 'work', 'citeepl', 'these', 'results', 'indicate', 'that', 'one', 'must', 'be', 'very', 'careful', 'in', 'exchanging', 'time', 'averages', 'with', 'ensemble', 'averages', 'during', 'the', 'nonergodic', 'metastable', 'regime', 'and', 'at', 'the', 'same', 'time', 'they', 'emphasize', 'the', 'role', 'of', 'finite', 'size', 'effects', 'in', 'the', 'evaluation', 'of', 'the', 'diffusive', 'properties', 'of', 'the', 'system']] | [-0.14469185638565407, 0.19359997254492634, -0.10807813862946046, 0.03192060237304996, 0.03140804075393016, -0.09659753686687707, 0.03789871977136025, 0.3538992757220631, -0.2586136847359898, -0.28689801332581305, 0.08419232211915938, -0.2639497257364185, -0.09816661246282898, 0.1980930237003359, 0.018428785898520247, 0.007630628331199936, 0.08330881476159328, 0.05493445218156051, -0.08883762492357915, -0.23907247895840555, 0.32282191061961424, 0.0429463574014928, 0.2887296595145017, 0.024209532035140157, 0.1026656856233983, -0.012191049957081028, 0.009767263591208535, 0.06246032662127855, -0.09220069516832945, 0.03629556117559095, 0.1778515080678398, 0.051562598063711725, 0.2953964652918765, -0.41856512994222017, -0.22084890229060597, 0.10046575852143376, 0.15030211093582455, 0.10600285330640516, 0.0034134854985218817, -0.2551663802055966, 0.05971953266745676, -0.11360711409487641, -0.14293762502948876, -0.0005549665682179773, 0.008746542209890955, 0.07813914248001073, -0.22935157495996225, 0.07836120224902002, 0.09101959879033371, 0.07341129813626733, -0.06240328091561147, -0.11230249874769589, -0.0022689151810482144, 0.1686842146218228, 0.09804259708186652, -0.02164394690391972, 0.1318531361631239, -0.1266078331872173, -0.09000073641579112, 0.34742495603859425, -0.08733050651473763, -0.15621324834596043, 0.23198077440990703, -0.1993722716781675, -0.15129846059109853, 0.13961020503800525, 0.1634930876063426, 0.13110026075383244, -0.10493566847340528, 0.05642325801865967, -0.022183087806257863, 0.1656177586916348, 0.012066445374132498, 0.0696459239077977, 0.2129981090699363, 0.17081378489408805, 0.03664972326394333, 0.1091430778121677, -0.08433010715373751, -0.1627984878596971, -0.31894008697860915, -0.1503983902765195, -0.1721908516432766, 0.02964199432576804, -0.1282305224471518, -0.16720099641394842, 0.42964660118172027, 0.169232937881885, 0.24803214941841914, 0.059661666818378166, 0.24424555515060606, 0.14016714432965155, 0.026289119931828718, 0.08101498312316835, 0.24739820088016923, 0.06364344162664012, 0.09610472473255156, -0.28091279936020525, 0.07552248317085247, 0.04254867532543595] |
711.1727 | Bers and H\'enon, Painlev\'e and Schroedinger | We study the dynamics of mapping class groups on 2-dimensional character
varieties. We shall show that the dynamics of pseudo-Anosov mapping classes
resembles in many ways the dynamics of H\'enon mappings, and then apply this
idea to answer open questions concerning the geometry of discrete and faithful
representations, Painlev\'e sixth equation, and discrete Schroedinger
operators.
| math.CA math.AG math.DS | we study the dynamics of mapping class groups on 2dimensional character varieties we shall show that the dynamics of pseudoanosov mapping classes resembles in many ways the dynamics of henon mappings and then apply this idea to answer open questions concerning the geometry of discrete and faithful representations painleve sixth equation and discrete schroedinger operators | [['we', 'study', 'the', 'dynamics', 'of', 'mapping', 'class', 'groups', 'on', '2dimensional', 'character', 'varieties', 'we', 'shall', 'show', 'that', 'the', 'dynamics', 'of', 'pseudoanosov', 'mapping', 'classes', 'resembles', 'in', 'many', 'ways', 'the', 'dynamics', 'of', 'henon', 'mappings', 'and', 'then', 'apply', 'this', 'idea', 'to', 'answer', 'open', 'questions', 'concerning', 'the', 'geometry', 'of', 'discrete', 'and', 'faithful', 'representations', 'painleve', 'sixth', 'equation', 'and', 'discrete', 'schroedinger', 'operators']] | [-0.13414846348830245, 0.029185771823606706, -0.1041150112721053, 0.10707484615585681, -0.10063576010394502, -0.13303784440186892, -0.02340907393531366, 0.31346361244266685, -0.38181221037441654, -0.20240852986039085, 0.09297686017076061, -0.31401025109331715, -0.2386139024218375, 0.22059739701111208, -0.09908902008425105, 0.050668171225962316, 0.0655428818511692, 0.010135733759538693, -0.11441348789852451, -0.26046910353682257, 0.457618995891376, -0.0882427528500557, 0.22187029174105688, 0.01156661044806242, 0.13910316261886196, -0.04713903202421286, -0.046320675956931984, -0.07425312008708715, -0.15402809652904662, 0.14488909260623833, 0.26802390800281006, 0.09588044700636104, 0.2315322411119599, -0.382493271170692, -0.2055082361975854, 0.15611492952501232, 0.12329188006168063, 0.08965328510173343, -0.029377126848240467, -0.33822193550453944, -0.004478152316402305, -0.10622086147354408, -0.18923417453400113, -0.11327942564067515, 0.06818178130144423, 0.048782661485231735, -0.1632393925196745, 0.019892075700177387, 0.1307877059348605, 0.09225655411454764, -0.10842443272598426, -0.003564493375068361, -0.0001826694743199782, 0.13797774821181188, 0.000735398073563622, -0.0016431550283662298, 0.0701560680669817, -0.1215715579984879, -0.13410398585044525, 0.39165121540427206, -0.06194531797346744, -0.2673503481190313, 0.2050758376886899, -0.18547499464316802, -0.24965664008632302, 0.06395239621739496, 0.18543189845301888, 0.12850795422934674, -0.09862454326992685, 0.1780357705058784, -0.1383624198846519, 0.13870884985662996, 0.06821983233094216, -0.04099878690798174, 0.12550483644008636, 0.08495278625156391, 0.04411344066452743, 0.17267060950398444, 0.04946491010487079, -0.12400615780868314, -0.3043239100412889, -0.17874529864639044, -0.09464505674232813, 0.13331379768523302, -0.035656892566740594, -0.1513723128094253, 0.4938300351527604, 0.14076921199871736, 0.15939380501142958, 0.095582819679244, 0.15449648916044018, 0.0682905043729327, -0.02204580664296042, 0.061628554211082785, 0.07191721540452405, 0.21556253698231145, 0.004573417277160016, -0.20872123271057552, -0.06567691782150756, 0.24020531937818634] |
711.1728 | On the optimality of individual entangling-probe attacks against BB84
quantum key distribution | It is shown that an existing method to study ideal individual attacks on the
BB84 QKD protocol using error discard can be adapted to reconciliation with
error correction, and that an optimal attack can be explicitly found. Moreover,
this attack fills Luetkenhaus bound, independently of whether error positions
are leaked to Eve, proving that it is tight. In addition, we clarify why the
existence of such optimal attacks is not in contradiction with the established
``old-style'' theory of BB84 individual attacks, as incorrectly suggested
recently in a news feature.
| quant-ph | it is shown that an existing method to study ideal individual attacks on the bb84 qkd protocol using error discard can be adapted to reconciliation with error correction and that an optimal attack can be explicitly found moreover this attack fills luetkenhaus bound independently of whether error positions are leaked to eve proving that it is tight in addition we clarify why the existence of such optimal attacks is not in contradiction with the established oldstyle theory of bb84 individual attacks as incorrectly suggested recently in a news feature | [['it', 'is', 'shown', 'that', 'an', 'existing', 'method', 'to', 'study', 'ideal', 'individual', 'attacks', 'on', 'the', 'bb84', 'qkd', 'protocol', 'using', 'error', 'discard', 'can', 'be', 'adapted', 'to', 'reconciliation', 'with', 'error', 'correction', 'and', 'that', 'an', 'optimal', 'attack', 'can', 'be', 'explicitly', 'found', 'moreover', 'this', 'attack', 'fills', 'luetkenhaus', 'bound', 'independently', 'of', 'whether', 'error', 'positions', 'are', 'leaked', 'to', 'eve', 'proving', 'that', 'it', 'is', 'tight', 'in', 'addition', 'we', 'clarify', 'why', 'the', 'existence', 'of', 'such', 'optimal', 'attacks', 'is', 'not', 'in', 'contradiction', 'with', 'the', 'established', 'oldstyle', 'theory', 'of', 'bb84', 'individual', 'attacks', 'as', 'incorrectly', 'suggested', 'recently', 'in', 'a', 'news', 'feature']] | [-0.1274267277324401, 0.027334978084425154, -0.1393171601083087, 0.1350936621090333, -0.03366394830203947, -0.2712141048409387, 0.10187943669266185, 0.38396667963664594, -0.24848661721609105, -0.3054556732718972, 0.11617685113257419, -0.25317841926696655, -0.16916582374244757, 0.21803445470166102, -0.20032310066744685, 0.09785957224452975, 0.023192788260164618, 0.03503226713764471, -0.007777017827584654, -0.34658704162842924, 0.3072900072050591, 0.11690786733538255, 0.3124545081036872, 0.043320931938487565, 0.042751047497979186, -0.03654346391612171, 0.0034063313124251776, -0.009063938461329746, -0.09994082889730718, 0.06098037267414232, 0.3185338099599527, 0.18341794757215285, 0.2919764670104473, -0.35541900402555865, -0.19005228398132257, 0.10654181303542065, 0.16381106456613231, 0.1937547053756385, -0.0313927842285377, -0.3184078638281288, 0.13575282977658443, -0.224448109923423, -0.11881088185520179, -0.07696932388319709, -0.01645094391772117, 0.00620040708307134, -0.25931939331215176, 0.03899093177811853, 0.08776687483313954, 0.015832022977885843, 0.023225447845420445, -0.03296439650457823, 0.006112106476278825, 0.1498756639140219, 0.060982047636383055, 0.01601964731074484, 0.14705983583612003, -0.027129451495370473, -0.15592590229245887, 0.2961146992192357, -0.03843953021555797, -0.22028972135706879, 0.09619314081153307, -0.03338801899346812, -0.12442350678210115, 0.11245285278592987, 0.13943819187838455, 0.0703152207572056, -0.15192421373172565, 0.0024290035322212197, -0.08893673486964798, 0.24932738606571808, 0.09306121485350632, 0.07559488240051372, 0.12775178298611065, 0.10932326755732641, 0.1082421787532753, 0.0968630950036191, -0.08473424066189976, -0.07837573804988943, -0.2846329085871406, -0.14466743117490055, -0.25074635363644227, 0.07806459069937795, -0.006508469220147811, -0.1097266440043606, 0.3032047200584035, 0.23325262228348131, 0.14088681954676394, 0.014792621012605813, 0.37537841201256744, 0.06615403564191884, 0.044885619447149076, 0.15396013854328414, 0.30474306264057244, 0.07255976737059396, -0.0018188170647120167, -0.1679238029541555, 0.20514886927437678, 0.04423999648284296] |
711.1729 | Self-Similar Dynamics of a Relativistically Hot Gas | In the presence of self-gravity, we investigate the self-similar dynamics of
a relativistically hot gas with or without shocks in astrophysical processes of
stellar core collapse, formation of compact objects, and supernova remnants
with central voids. The model system is taken to be spherically symmetric and
the conservation of specific entropy along streamlines is adopted for a
relativistic hot gas. In terms of equation of state, this leads to a polytropic
index $\gamma=4/3$. The conventional polytropic gas of $P=\kappa\rho^\gamma$,
where $P$ is the thermal pressure, $\rho$ is the mass density, $\gamma$ is the
polytropic index, and $\kappa$ is a global constant, is included in our
theoretical model framework. Two qualitatively different solution classes arise
according to the values of a simple power-law scaling index $a$, each of which
is analyzed separately and systematically. We obtain new asymptotic solutions
that exist only for $\gamma=4/3$. Global and asymptotic solutions in various
limits as well as eigensolutions across sonic critical lines are derived
analytically and numerically with or without shocks. By specific entropy
conservation along streamlines, we extend the analysis of Goldreich & Weber for
a distribution of variable specific entropy with time $t$ and radius $r$ and
discuss consequences in the context of a homologous core collapse prior to
supernovae. As an alternative rebound shock model, we construct an Einstein-de
Sitter explosion with shock connections with various outer flows including a
static outer part of a singular polytropic sphere (SPS). Under the joint action
of thermal pressure and self-gravity, we can also construct self-similar
solutions with central spherical voids with sharp density variations along
their edges.
| astro-ph | in the presence of selfgravity we investigate the selfsimilar dynamics of a relativistically hot gas with or without shocks in astrophysical processes of stellar core collapse formation of compact objects and supernova remnants with central voids the model system is taken to be spherically symmetric and the conservation of specific entropy along streamlines is adopted for a relativistic hot gas in terms of equation of state this leads to a polytropic index gamma43 the conventional polytropic gas of pkapparhogamma where p is the thermal pressure rho is the mass density gamma is the polytropic index and kappa is a global constant is included in our theoretical model framework two qualitatively different solution classes arise according to the values of a simple powerlaw scaling index a each of which is analyzed separately and systematically we obtain new asymptotic solutions that exist only for gamma43 global and asymptotic solutions in various limits as well as eigensolutions across sonic critical lines are derived analytically and numerically with or without shocks by specific entropy conservation along streamlines we extend the analysis of goldreich weber for a distribution of variable specific entropy with time t and radius r and discuss consequences in the context of a homologous core collapse prior to supernovae as an alternative rebound shock model we construct an einsteinde sitter explosion with shock connections with various outer flows including a static outer part of a singular polytropic sphere sps under the joint action of thermal pressure and selfgravity we can also construct selfsimilar solutions with central spherical voids with sharp density variations along their edges | [['in', 'the', 'presence', 'of', 'selfgravity', 'we', 'investigate', 'the', 'selfsimilar', 'dynamics', 'of', 'a', 'relativistically', 'hot', 'gas', 'with', 'or', 'without', 'shocks', 'in', 'astrophysical', 'processes', 'of', 'stellar', 'core', 'collapse', 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711.173 | Semicircle law on short scales and delocalization of eigenvectors for
Wigner random matrices | We consider $N\times N$ Hermitian random matrices with i.i.d. entries. The
matrix is normalized so that the average spacing between consecutive
eigenvalues is of order $1/N$. We study the connection between eigenvalue
statistics on microscopic energy scales $\eta\ll1$ and (de)localization
properties of the eigenvectors. Under suitable assumptions on the distribution
of the single matrix elements, we first give an upper bound on the density of
states on short energy scales of order $\eta \sim\log N/N$. We then prove that
the density of states concentrates around the Wigner semicircle law on energy
scales $\eta\gg N^{-2/3}$. We show that most eigenvectors are fully delocalized
in the sense that their $\ell^p$-norms are comparable with
$N^{{1}/{p}-{1}/{2}}$ for $p\ge2$, and we obtain the weaker bound
$N^{{2}/{3}({1}/{p}-{1}/{2})}$ for all eigenvectors whose eigenvalues are
separated away from the spectral edges. We also prove that, with a probability
very close to one, no eigenvector can be localized. Finally, we give an optimal
bound on the second moment of the Green function.
| math-ph math.MP | we consider ntimes n hermitian random matrices with iid entries the matrix is normalized so that the average spacing between consecutive eigenvalues is of order 1n we study the connection between eigenvalue statistics on microscopic energy scales etall1 and delocalization properties of the eigenvectors under suitable assumptions on the distribution of the single matrix elements we first give an upper bound on the density of states on short energy scales of order eta simlog nn we then prove that the density of states concentrates around the wigner semicircle law on energy scales etagg n23 we show that most eigenvectors are fully delocalized in the sense that their ellpnorms are comparable with n1p12 for pge2 and we obtain the weaker bound n231p12 for all eigenvectors whose eigenvalues are separated away from the spectral edges we also prove that with a probability very close to one no eigenvector can be localized finally we give an optimal bound on the second moment of the green function | [['we', 'consider', 'ntimes', 'n', 'hermitian', 'random', 'matrices', 'with', 'iid', 'entries', 'the', 'matrix', 'is', 'normalized', 'so', 'that', 'the', 'average', 'spacing', 'between', 'consecutive', 'eigenvalues', 'is', 'of', 'order', '1n', 'we', 'study', 'the', 'connection', 'between', 'eigenvalue', 'statistics', 'on', 'microscopic', 'energy', 'scales', 'etall1', 'and', 'delocalization', 'properties', 'of', 'the', 'eigenvectors', 'under', 'suitable', 'assumptions', 'on', 'the', 'distribution', 'of', 'the', 'single', 'matrix', 'elements', 'we', 'first', 'give', 'an', 'upper', 'bound', 'on', 'the', 'density', 'of', 'states', 'on', 'short', 'energy', 'scales', 'of', 'order', 'eta', 'simlog', 'nn', 'we', 'then', 'prove', 'that', 'the', 'density', 'of', 'states', 'concentrates', 'around', 'the', 'wigner', 'semicircle', 'law', 'on', 'energy', 'scales', 'etagg', 'n23', 'we', 'show', 'that', 'most', 'eigenvectors', 'are', 'fully', 'delocalized', 'in', 'the', 'sense', 'that', 'their', 'ellpnorms', 'are', 'comparable', 'with', 'n1p12', 'for', 'pge2', 'and', 'we', 'obtain', 'the', 'weaker', 'bound', 'n231p12', 'for', 'all', 'eigenvectors', 'whose', 'eigenvalues', 'are', 'separated', 'away', 'from', 'the', 'spectral', 'edges', 'we', 'also', 'prove', 'that', 'with', 'a', 'probability', 'very', 'close', 'to', 'one', 'no', 'eigenvector', 'can', 'be', 'localized', 'finally', 'we', 'give', 'an', 'optimal', 'bound', 'on', 'the', 'second', 'moment', 'of', 'the', 'green', 'function']] | [-0.14500203476054593, 0.16558626417699998, -0.07106602274870966, 0.07253598458046326, 0.013108499373629456, -0.09156127230380662, 0.03588848804029112, 0.3776585005456582, -0.2427400233085791, -0.24043871669855435, 0.07468917902951944, -0.34096107037039475, -0.1420312179652683, 0.11336266854668793, 0.003083086198603269, 0.03678148918916122, 0.05884820236533415, 0.11594130165076422, -0.09901388695434435, -0.21019763691729168, 0.34623037155870406, 0.04358308809023583, 0.24615638191753533, 0.06916903615747287, 0.052389766431588214, -0.013312315919029061, 0.03998373657814227, -0.04911007559785503, -0.1388613476181945, 0.11595909102979932, 0.19667936750338413, 0.07293551214097534, 0.24877176470763515, -0.4273304700094741, -0.09326520232061739, 0.15231817312305793, 0.14258848773897626, 0.06285531525791158, 0.0042762080556713045, -0.26434095355216414, 0.13790091930568452, -0.10482597559457645, -0.1478521309560165, -0.05600254969904199, 0.04286971935071051, 0.05278644353238633, -0.3032399023592006, 0.12810722047270245, 0.06916369120226591, 0.002961134862380277, -0.039571109705138954, -0.1907387952072895, -0.0015741650480777026, 0.1253441274893703, 0.03303607773195836, -0.05390056553587783, 0.08785230541179771, -0.060960596430231814, -0.06060066731224652, 0.3022117936925497, -0.06476201364166627, -0.20877656628836122, 0.11654746976819297, -0.18923725373751948, -0.12893738095881419, 0.1043065383360954, 0.15725925782462583, 0.12811033151906487, -0.07854779601439077, 0.11084611595942988, -0.08988755891623441, 0.19642723667202516, 0.08010734057752415, 0.07648336964120972, 0.14216531300335192, 0.07181113908882253, 0.15952038882533087, 0.12262877799657872, -0.08427438041253481, -0.1103116985730594, -0.3206184657756239, -0.12656421582614713, -0.31086565751829764, 0.11600674672517926, -0.1509515435418507, -0.17862568628320333, 0.4035339075606316, 0.11599770804459694, 0.2688482425903203, 0.13274912576016504, 0.2081948867358733, 0.17477950602369674, 0.011098531396419276, 0.13812061578792054, 0.19367369479732588, 0.1689768873344292, 0.02372974167810753, -0.18461842597189387, 0.03659878540784121, 0.11537811660964507] |
711.1731 | Key rate available from mismatched mesurements in the BB84 protocol and
the uncertainty principle | We consider the mismatched measurements in the BB84 quantum key distribution
protocol, in which measuring bases are different from transmitting bases. We
give a lower bound on the amount of a secret key that can be extracted from the
mismatched measurements. Our lower bound shows that we can extract a secret key
from the mismatched measurements with certain quantum channels, such as the
channel over which the Hadamard matrix is applied to each qubit with high
probability. Moreover, the entropic uncertainty principle implies that one
cannot extract the secret key from both matched measurements and mismatched
ones simultaneously, when we use the standard information reconciliation and
privacy amplification procedure.
| quant-ph | we consider the mismatched measurements in the bb84 quantum key distribution protocol in which measuring bases are different from transmitting bases we give a lower bound on the amount of a secret key that can be extracted from the mismatched measurements our lower bound shows that we can extract a secret key from the mismatched measurements with certain quantum channels such as the channel over which the hadamard matrix is applied to each qubit with high probability moreover the entropic uncertainty principle implies that one cannot extract the secret key from both matched measurements and mismatched ones simultaneously when we use the standard information reconciliation and privacy amplification procedure | [['we', 'consider', 'the', 'mismatched', 'measurements', 'in', 'the', 'bb84', 'quantum', 'key', 'distribution', 'protocol', 'in', 'which', 'measuring', 'bases', 'are', 'different', 'from', 'transmitting', 'bases', 'we', 'give', 'a', 'lower', 'bound', 'on', 'the', 'amount', 'of', 'a', 'secret', 'key', 'that', 'can', 'be', 'extracted', 'from', 'the', 'mismatched', 'measurements', 'our', 'lower', 'bound', 'shows', 'that', 'we', 'can', 'extract', 'a', 'secret', 'key', 'from', 'the', 'mismatched', 'measurements', 'with', 'certain', 'quantum', 'channels', 'such', 'as', 'the', 'channel', 'over', 'which', 'the', 'hadamard', 'matrix', 'is', 'applied', 'to', 'each', 'qubit', 'with', 'high', 'probability', 'moreover', 'the', 'entropic', 'uncertainty', 'principle', 'implies', 'that', 'one', 'can', 'not', 'extract', 'the', 'secret', 'key', 'from', 'both', 'matched', 'measurements', 'and', 'mismatched', 'ones', 'simultaneously', 'when', 'we', 'use', 'the', 'standard', 'information', 'reconciliation', 'and', 'privacy', 'amplification', 'procedure']] | [-0.11325728511437774, 0.12896562703377143, -0.10700654290108517, 0.06500073578737846, -0.011312023808502339, -0.2464977802174293, 0.1037582307334312, 0.32525375874882395, -0.30891119947826323, -0.3033271890556948, 0.09819131392287091, -0.28854717703705485, -0.10119884879412976, 0.23965804349969733, -0.11147674264978956, 0.1067891701600853, 0.05573620977388187, 0.06988684001632713, -0.0804711776806719, -0.25991061350373046, 0.3347062542018565, 0.0613674386721951, 0.3636478547684171, 0.025383070771667092, 0.09760392837395722, 0.04153334338810633, -0.020371809106489475, -0.06308602175506, -0.14388678072077296, 0.14684637563768774, 0.28045847869732166, 0.14802769405174662, 0.21473964539102533, -0.37453211882913656, -0.19151556745425544, 0.10680696619674564, 0.1369831882417202, 0.21644897053483875, -0.0719401669995436, -0.2830405191095038, 0.09590981277764182, -0.16735063889487223, 0.013668689402666958, -0.04819963317237456, -0.11119617272845723, 0.019513559282164684, -0.30531939686784015, 0.07723904473029754, 0.034356762447648424, 0.0021386580457064238, 0.015690845720977946, -0.08823478268882767, 0.009907676688056777, 0.20227817160802344, -0.02891775609353896, 0.005763165081258525, 0.131796853041107, -0.07771475720642643, -0.1333110503937033, 0.3275810272348198, -0.09126293188680641, -0.219186696854674, 0.1080424060584681, -0.15322185129096563, -0.0895319732541049, 0.07394288557115943, 0.17471833603287285, 0.06608320934147659, -0.1383836367237646, -0.009538711947177283, -0.07496395866301926, 0.2341838186014105, 0.06740622799420222, 0.13956956755454566, 0.16412045380777934, 0.06268046898979017, 0.08184557436457411, 0.15221251747676764, -0.11687180276494473, -0.10476584467528896, -0.32802705510773444, -0.15155461036960002, -0.2468558339169249, 0.06965223315227459, -0.11714657922672235, -0.07263921527509493, 0.3358751334588636, 0.19120773806406016, 0.20900786136785013, 0.015796215406788345, 0.36254125562581146, 0.08861700832335787, 0.11113028300672093, 0.10258482170545243, 0.23511020648716527, 0.14494880766353824, 0.005317175675141202, -0.16562490386634388, 0.16146684351207857, 0.012587133155797016] |
711.1732 | Polaron Coherence Condensation as the Mechanism for Colossal
Magnetoresistance in Layered Manganites | Angle-resolved photoemission spectroscopy data for the bilayer manganite
La1.2Sr1.8Mn2O7 show that, upon lowering the temperature below the Curie point,
a coherent polaronic metallic groundstate emerges very rapidly with well
defined quasiparticles which track remarkably well the electrical conductivity,
consistent with macroscopic transport properties. Our data suggest that the
mechanism leading to the insulator-to-metal transition in La1.2Sr1.8Mn2O7 can
be regarded as a polaron coherence condensation process acting in concert with
the Double Exchange interaction.
| cond-mat.str-el cond-mat.mtrl-sci | angleresolved photoemission spectroscopy data for the bilayer manganite la12sr18mn2o7 show that upon lowering the temperature below the curie point a coherent polaronic metallic groundstate emerges very rapidly with well defined quasiparticles which track remarkably well the electrical conductivity consistent with macroscopic transport properties our data suggest that the mechanism leading to the insulatortometal transition in la12sr18mn2o7 can be regarded as a polaron coherence condensation process acting in concert with the double exchange interaction | [['angleresolved', 'photoemission', 'spectroscopy', 'data', 'for', 'the', 'bilayer', 'manganite', 'la12sr18mn2o7', 'show', 'that', 'upon', 'lowering', 'the', 'temperature', 'below', 'the', 'curie', 'point', 'a', 'coherent', 'polaronic', 'metallic', 'groundstate', 'emerges', 'very', 'rapidly', 'with', 'well', 'defined', 'quasiparticles', 'which', 'track', 'remarkably', 'well', 'the', 'electrical', 'conductivity', 'consistent', 'with', 'macroscopic', 'transport', 'properties', 'our', 'data', 'suggest', 'that', 'the', 'mechanism', 'leading', 'to', 'the', 'insulatortometal', 'transition', 'in', 'la12sr18mn2o7', 'can', 'be', 'regarded', 'as', 'a', 'polaron', 'coherence', 'condensation', 'process', 'acting', 'in', 'concert', 'with', 'the', 'double', 'exchange', 'interaction']] | [-0.12686995920580876, 0.27152173777281396, -0.08177473140605004, 0.042057572487823894, -0.036483097280388774, -0.15520180469300127, 0.1367438701571713, 0.3963920141301367, -0.3165907663962161, -0.28225007732595564, -0.008943208811384901, -0.35618695711821946, -0.128396591663518, 0.18605835032714924, 0.04208567747059212, 0.021049586545801427, -0.01588698708071885, -0.02883135124017865, -0.08839362372421253, -0.14848138592009183, 0.28878955236098297, 0.07496990462843801, 0.3357294094027348, 0.13018062319213025, 0.03406733528605964, 0.019845417223159145, 0.15872676633823085, 0.012004469836156972, -0.12293400368296613, -0.0037862957048584037, 0.3164581283410473, -0.13571093729893927, 0.15979413446825994, -0.4300231664690753, -0.26105060297536703, -0.055233508417330365, 0.16671234156819992, 0.13705258885182073, -0.10595138386075556, -0.2891833931338829, -0.040933009739604474, -0.1722607719449615, -0.13015475396958875, -0.15350202796324877, -0.0736179442118696, 0.004472092318702751, -0.22693679851650353, 0.13583383021849982, 0.034354771293935854, 0.07302218085338533, -0.14069929574025977, -0.08828726646319872, -0.12454266238196844, 0.0617615897733141, 0.038884310267823026, 0.09230784268420138, 0.20813426229132104, -0.09977398503204467, -0.1242072042864813, 0.34247917032630093, -0.10839493482203132, -0.018155824983308852, 0.1615902625391601, -0.21201600299649676, -0.03622198523297696, 0.1725559000476775, 0.0345776431503522, 0.0947930131125605, -0.1527142878162714, 0.026420493574130913, -0.0032109837080548766, 0.2045716910420517, 0.008800771303842185, 0.11894824479962371, 0.2619745203516853, 0.24237757615997574, 0.028339536401482537, 0.14715814924369316, -0.08310533516948491, -0.08197610666581863, -0.21689808339824979, -0.1437798960554138, -0.23670353729959945, 0.10860188629701209, -0.047683870072253574, -0.2207935616032968, 0.34008292662320844, 0.14524112527691563, 0.2716221916686061, -0.02080851061184379, 0.23077536124447492, 0.13432456873698342, 0.11346514073108703, 0.005376208350587059, 0.23868692940442074, 0.1544258262319359, 0.16497251367635868, -0.35581477833780606, 0.09797993607976486, -0.0011025727923277399] |
711.1733 | Clifford quantum computer and the Mathieu groups | One learned from Gottesman-Knill theorem that the Clifford model of quantum
computing \cite{Clark07} may be generated from a few quantum gates, the
Hadamard, Phase and Controlled-Z gates, and efficiently simulated on a
classical computer. We employ the group theoretical package GAP\cite{GAP} for
simulating the two qubit Clifford group $\mathcal{C}_2$. We already found that
the symmetric group S(6), aka the automorphism group of the generalized
quadrangle W(2), controls the geometry of the two-qubit Pauli graph
\cite{Pauligraphs}. Now we find that the {\it inner} group
${Inn}(\mathcal{C}_2)=\mathcal{C}_2/{Center}(\mathcal{C}_2)$ exactly contains
two normal subgroups, one isomorphic to $\mathcal{Z}_2^{\times 4}$ (of order
16), and the second isomorphic to the parent $A'(6)$ (of order 5760) of the
alternating group A(6). The group $A'(6)$ stabilizes an {\it hexad} in the
Steiner system $S(3,6,22)$ attached to the Mathieu group M(22). Both groups
A(6) and $A'(6)$ have an {\it outer} automorphism group $\mathcal{Z}_2\times
\mathcal{Z}_2$, a feature we associate to two-qubit quantum entanglement.
| quant-ph math-ph math.MP | one learned from gottesmanknill theorem that the clifford model of quantum computing citeclark07 may be generated from a few quantum gates the hadamard phase and controlledz gates and efficiently simulated on a classical computer we employ the group theoretical package gapcitegap for simulating the two qubit clifford group mathcalc_2 we already found that the symmetric group s6 aka the automorphism group of the generalized quadrangle w2 controls the geometry of the twoqubit pauli graph citepauligraphs now we find that the it inner group innmathcalc_2mathcalc_2centermathcalc_2 exactly contains two normal subgroups one isomorphic to mathcalz_2times 4 of order 16 and the second isomorphic to the parent a6 of order 5760 of the alternating group a6 the group a6 stabilizes an it hexad in the steiner system s3622 attached to the mathieu group m22 both groups a6 and a6 have an it outer automorphism group mathcalz_2times mathcalz_2 a feature we associate to twoqubit quantum entanglement | [['one', 'learned', 'from', 'gottesmanknill', 'theorem', 'that', 'the', 'clifford', 'model', 'of', 'quantum', 'computing', 'citeclark07', 'may', 'be', 'generated', 'from', 'a', 'few', 'quantum', 'gates', 'the', 'hadamard', 'phase', 'and', 'controlledz', 'gates', 'and', 'efficiently', 'simulated', 'on', 'a', 'classical', 'computer', 'we', 'employ', 'the', 'group', 'theoretical', 'package', 'gapcitegap', 'for', 'simulating', 'the', 'two', 'qubit', 'clifford', 'group', 'mathcalc_2', 'we', 'already', 'found', 'that', 'the', 'symmetric', 'group', 's6', 'aka', 'the', 'automorphism', 'group', 'of', 'the', 'generalized', 'quadrangle', 'w2', 'controls', 'the', 'geometry', 'of', 'the', 'twoqubit', 'pauli', 'graph', 'citepauligraphs', 'now', 'we', 'find', 'that', 'the', 'it', 'inner', 'group', 'innmathcalc_2mathcalc_2centermathcalc_2', 'exactly', 'contains', 'two', 'normal', 'subgroups', 'one', 'isomorphic', 'to', 'mathcalz_2times', '4', 'of', 'order', '16', 'and', 'the', 'second', 'isomorphic', 'to', 'the', 'parent', 'a6', 'of', 'order', '5760', 'of', 'the', 'alternating', 'group', 'a6', 'the', 'group', 'a6', 'stabilizes', 'an', 'it', 'hexad', 'in', 'the', 'steiner', 'system', 's3622', 'attached', 'to', 'the', 'mathieu', 'group', 'm22', 'both', 'groups', 'a6', 'and', 'a6', 'have', 'an', 'it', 'outer', 'automorphism', 'group', 'mathcalz_2times', 'mathcalz_2', 'a', 'feature', 'we', 'associate', 'to', 'twoqubit', 'quantum', 'entanglement']] | [-0.17962672773647267, 0.13256391839161483, -0.08294428487111923, 0.04145574324913196, -0.07387761465435354, -0.17705895774839384, 0.030081181107469056, 0.37334244999223626, -0.30688845603188286, -0.2695319434844882, 0.09114277963431514, -0.2854658668404635, -0.13579311532278857, 0.19480033660446908, -0.06287445936377356, 0.0026186827592374314, 0.021603879206782195, 0.11112126632479533, -0.12301895794217937, -0.2968490892606645, 0.3021084426547445, -0.044068679888257564, 0.1888643333610768, -0.048941837145383055, 0.07779530817516098, 0.015161458469395126, 0.03307438672513885, -0.07589863599626487, -0.09199204418698737, 0.07781513218394145, 0.2619696773056473, 0.04233270561928207, 0.1780242124132077, -0.38792857907864514, -0.10826003718107534, 0.13147221437535014, 0.12591803685261482, 0.07884000769505899, -0.05416366295512056, -0.3199482083029183, 0.061377292305712594, -0.25579928679923924, -0.1412724825097438, -0.04603526287008913, 0.032625247223847575, -0.0888561807085006, -0.18220507638642983, 0.022501938402190245, 0.07624602981773364, 0.06285360320605857, 0.007816736985530173, -0.09409861595664477, -0.06692366248161412, 0.12167532292517777, -0.07645473664794371, 0.04098422531763941, 0.14485371249413503, -0.03633490830266271, -0.14596370447325666, 0.38210468985723195, 0.00248800413091081, -0.15614673219063654, 0.12211975649468043, -0.15502643607537814, -0.1875241705704303, 0.10139718689151159, 0.08905294270184981, 0.09000599694194361, -0.07005240504002692, 0.14037558984258497, -0.11302155800493194, 0.16856471696459896, 0.04509317051923396, -0.03330266756974921, 0.07183475091065071, 0.047277370249206314, 0.0885519220579709, 0.15069230315734816, -0.01288683937868851, -0.07533092292435119, -0.31553586468506023, -0.1921191838867709, -0.16142355427019248, 0.08231032918188341, -0.11256929985239633, -0.15474385115774159, 0.418206750972792, 0.06488619882377422, 0.10189879036248745, 0.022650572879962166, 0.20285305574054824, 0.0359154062814453, 0.1454329121743842, 0.13605453444606797, 0.1703512317051186, 0.24387853640784213, -0.09867325381432869, -0.24946971312280092, -0.046219333607171266, 0.15786555798432858] |
711.1734 | Base change for semiorthogonal decompositions | Consider an algebraic variety $X$ over a base scheme $S$ and a faithful base
change $T \to S$. Given an admissible subcategory $\CA$ in the bounded derived
category of coherent sheaves on $X$, we construct an admissible subcategory in
the bounded derived category of coherent sheaves on the fiber product
$X\times_S T$, called the base change of $\CA$, in such a way that the
following base change theorem holds: if a semiorthogonal decomposition of the
bounded derived category of $X$ is given then the base changes of its
components form a semiorthogonal decomposition of the bounded derived category
of the fiber product. As an intermediate step we construct a compatible system
of semiorthogonal decompositions of the unbounded derived category of
quasicoherent sheaves on $X$ and of the category of perfect complexes on $X$.
As an application we prove that the projection functors of a semiorthogonal
decomposition are kernel functors.
| math.AG math.CT | consider an algebraic variety x over a base scheme s and a faithful base change t to s given an admissible subcategory ca in the bounded derived category of coherent sheaves on x we construct an admissible subcategory in the bounded derived category of coherent sheaves on the fiber product xtimes_s t called the base change of ca in such a way that the following base change theorem holds if a semiorthogonal decomposition of the bounded derived category of x is given then the base changes of its components form a semiorthogonal decomposition of the bounded derived category of the fiber product as an intermediate step we construct a compatible system of semiorthogonal decompositions of the unbounded derived category of quasicoherent sheaves on x and of the category of perfect complexes on x as an application we prove that the projection functors of a semiorthogonal decomposition are kernel functors | [['consider', 'an', 'algebraic', 'variety', 'x', 'over', 'a', 'base', 'scheme', 's', 'and', 'a', 'faithful', 'base', 'change', 't', 'to', 's', 'given', 'an', 'admissible', 'subcategory', 'ca', 'in', 'the', 'bounded', 'derived', 'category', 'of', 'coherent', 'sheaves', 'on', 'x', 'we', 'construct', 'an', 'admissible', 'subcategory', 'in', 'the', 'bounded', 'derived', 'category', 'of', 'coherent', 'sheaves', 'on', 'the', 'fiber', 'product', 'xtimes_s', 't', 'called', 'the', 'base', 'change', 'of', 'ca', 'in', 'such', 'a', 'way', 'that', 'the', 'following', 'base', 'change', 'theorem', 'holds', 'if', 'a', 'semiorthogonal', 'decomposition', 'of', 'the', 'bounded', 'derived', 'category', 'of', 'x', 'is', 'given', 'then', 'the', 'base', 'changes', 'of', 'its', 'components', 'form', 'a', 'semiorthogonal', 'decomposition', 'of', 'the', 'bounded', 'derived', 'category', 'of', 'the', 'fiber', 'product', 'as', 'an', 'intermediate', 'step', 'we', 'construct', 'a', 'compatible', 'system', 'of', 'semiorthogonal', 'decompositions', 'of', 'the', 'unbounded', 'derived', 'category', 'of', 'quasicoherent', 'sheaves', 'on', 'x', 'and', 'of', 'the', 'category', 'of', 'perfect', 'complexes', 'on', 'x', 'as', 'an', 'application', 'we', 'prove', 'that', 'the', 'projection', 'functors', 'of', 'a', 'semiorthogonal', 'decomposition', 'are', 'kernel', 'functors']] | [-0.19523312618351868, 0.005253830139318362, -0.07968371582997812, 0.02737077631801996, -0.06761376765506291, -0.10780075047089643, 0.03094769282442694, 0.3744798186360984, -0.43955016684894627, -0.11455528215958259, 0.08209856226804314, -0.16120238302627932, -0.09339359556198926, 0.17522913430867768, -0.18953641036185562, -0.09752031418571966, 0.07778194939365259, 0.13419733248883858, -0.08646955289815024, -0.2266087795472452, 0.4646754190829155, -0.06504238263477345, 0.3128066909062122, 0.0022057748613627374, 0.20333802741889312, 0.005191036171242091, -0.020545025721091677, -0.0027237954389027043, -0.12770750980741247, 0.17695329073629526, 0.31244496558163615, 0.12049173900222003, 0.17349820020702994, -0.3642807770017031, -0.12288881283933045, 0.17335081763716564, 0.10164276248424603, 0.0029774682621496753, 0.010053150259851906, -0.2889688879226309, 0.14990070457979282, -0.26416557605025937, -0.09302143851685263, -0.01778495548343336, 0.10391484000845938, 0.02781051901055852, -0.2896293080600633, -0.09282274459444641, 0.10671385954687926, 0.10413588254989402, -0.14290752500764448, -0.11798016781874655, -0.1346609286800329, 0.09308726423910844, -0.08250964852600559, 0.057829969581468285, 0.14385116606875248, -0.10669363384304971, -0.07390366933572837, 0.34773306349745475, -0.12484091860588288, -0.22697076392737595, 0.10048580187140033, -0.10211080346080298, -0.08258613007539581, 0.1653870457588267, 0.06122036328432276, 0.19796515611705143, 0.005432189837085536, 0.19173586826592154, -0.1775742294329747, 0.12748803814394852, 0.11171490197837655, 0.07479200847572773, 0.09837634801845746, 0.13827552283937866, 0.07548830444043356, 0.12258031680500386, -0.042323191967994174, -0.005661187108253708, -0.3946639261762234, -0.18328403850476183, -0.1200060813524131, 0.1572475831238301, -0.09200148187507717, -0.20186392413578122, 0.3646468914569325, 0.03792617770346083, 0.22428646820244957, 0.1219485950077305, 0.24225909955094796, 0.04399233693854783, -0.0035232917084736196, 0.012706365842195982, 0.10759886436013354, 0.26099281410711844, -0.015192276600754593, -0.07686927917136534, 0.02084981382044183, 0.199274979350456] |
711.1735 | Evolution towards the critical limit and the origin of Be stars | We determine which are the mechanisms accelerating the surface of single
stars during the Main Sequence evolution. We have computed 112 stellar models
of four different initial masses between 3 and 60 M_sun, at four different
metallicities between 0 and 0.020, and with seven different values of the ratio
Omega/Omega_crit between 0.1 and 0.99. For all the models, computations were
performed until either the end of the Main Sequence evolution or the reaching
of the critical limit. The evolution of surface velocities during the Main
Sequence lifetime results from an interplay between meridional circulation
(bringing angular momentum to the surface) and mass loss by stellar winds
(removing it). The dependence on metallicity of these two mechanisms plays a
key role in determining for each metallicity, a limiting range of initial
masses (spectral types) for stars able to reach or at least approach the
critical limit. Present models predict a higher frequency of fast rotating
stars in clusters with ages between 10 and 25 Myr. This is the range of ages
where most of Be stars are observed.
| astro-ph | we determine which are the mechanisms accelerating the surface of single stars during the main sequence evolution we have computed 112 stellar models of four different initial masses between 3 and 60 m_sun at four different metallicities between 0 and 0020 and with seven different values of the ratio omegaomega_crit between 01 and 099 for all the models computations were performed until either the end of the main sequence evolution or the reaching of the critical limit the evolution of surface velocities during the main sequence lifetime results from an interplay between meridional circulation bringing angular momentum to the surface and mass loss by stellar winds removing it the dependence on metallicity of these two mechanisms plays a key role in determining for each metallicity a limiting range of initial masses spectral types for stars able to reach or at least approach the critical limit present models predict a higher frequency of fast rotating stars in clusters with ages between 10 and 25 myr this is the range of ages where most of be stars are observed | [['we', 'determine', 'which', 'are', 'the', 'mechanisms', 'accelerating', 'the', 'surface', 'of', 'single', 'stars', 'during', 'the', 'main', 'sequence', 'evolution', 'we', 'have', 'computed', '112', 'stellar', 'models', 'of', 'four', 'different', 'initial', 'masses', 'between', '3', 'and', '60', 'm_sun', 'at', 'four', 'different', 'metallicities', 'between', '0', 'and', '0020', 'and', 'with', 'seven', 'different', 'values', 'of', 'the', 'ratio', 'omegaomega_crit', 'between', '01', 'and', '099', 'for', 'all', 'the', 'models', 'computations', 'were', 'performed', 'until', 'either', 'the', 'end', 'of', 'the', 'main', 'sequence', 'evolution', 'or', 'the', 'reaching', 'of', 'the', 'critical', 'limit', 'the', 'evolution', 'of', 'surface', 'velocities', 'during', 'the', 'main', 'sequence', 'lifetime', 'results', 'from', 'an', 'interplay', 'between', 'meridional', 'circulation', 'bringing', 'angular', 'momentum', 'to', 'the', 'surface', 'and', 'mass', 'loss', 'by', 'stellar', 'winds', 'removing', 'it', 'the', 'dependence', 'on', 'metallicity', 'of', 'these', 'two', 'mechanisms', 'plays', 'a', 'key', 'role', 'in', 'determining', 'for', 'each', 'metallicity', 'a', 'limiting', 'range', 'of', 'initial', 'masses', 'spectral', 'types', 'for', 'stars', 'able', 'to', 'reach', 'or', 'at', 'least', 'approach', 'the', 'critical', 'limit', 'present', 'models', 'predict', 'a', 'higher', 'frequency', 'of', 'fast', 'rotating', 'stars', 'in', 'clusters', 'with', 'ages', 'between', '10', 'and', '25', 'myr', 'this', 'is', 'the', 'range', 'of', 'ages', 'where', 'most', 'of', 'be', 'stars', 'are', 'observed']] | [-0.076320402743821, 0.1931506811338115, -0.04375820236259514, 0.06819673375316006, -0.0017189755654330812, -0.06241911337158437, 0.05557978780490299, 0.39393592550087786, -0.19425994797417695, -0.4148189813045964, 0.06537059654408045, -0.25834508775864956, -0.01432627349260584, 0.22287536319345236, -0.0005750857598784953, -0.006681307640481125, 0.06703162819587696, -0.020836482865020295, -0.08951189384320857, -0.24309203884759023, 0.3501721637068306, 0.007258610105362989, 0.1782936037249737, 0.010710803303857055, 0.07791814205399845, -0.08835941165854029, -0.022359372763815572, -0.06599361762814855, -0.1684633765874778, 0.04071511681708586, 0.19326624185082258, 0.11180668754113765, 0.2692159872270573, -0.358220404129749, -0.1826117551348851, 0.08876562345326394, 0.17958477548702415, 0.06603127173582186, -0.04317512970199377, -0.17933161742459078, 0.10314929024000669, -0.15213062075074593, -0.13985446642881713, 0.04364927231707731, 0.05760853675504526, 0.04020107521722883, -0.24487956967415278, 0.12541269726188337, 0.02969613452941853, 0.10556740078043803, -0.12901928583123867, -0.1717450831086759, -0.10016804206774355, 0.1899728522514977, 0.05353604283937389, 0.05157155520151143, 0.12467883376004753, -0.12374912581069784, -0.019895081555649723, 0.3742551690777816, -0.08207320872073372, -0.08620515745988189, 0.23588492831288926, -0.19554668029580832, -0.11916990721030003, 0.11008701234592894, 0.17602036777133317, 0.14951572942121302, -0.15854187881360934, -0.03726854155268941, 0.06030704699309364, 0.18656391530339791, 0.09601862393951012, 0.03092558161318723, 0.3232836128412456, 0.16251262244742132, 0.012081656301141544, 0.03781980407716296, -0.19119678604900625, -0.09389701365666875, -0.2501021658891212, -0.10722209127635647, -0.09217534972996698, 0.055670871957084214, -0.17241975102829485, -0.10618028542721424, 0.3733339932678783, 0.1509597220268669, 0.25337273777478325, 0.06680226000223183, 0.27013974224735515, 0.10710255891652935, 0.08006910457917736, 0.11476967354057788, 0.2820369658076157, 0.179858745062608, 0.0786797971527834, -0.24139336749383822, 0.06626688375724427, 0.028129126514685684] |
711.1736 | Stability of the Solutions of Instantaneous Bethe-Salpeter Equations
with Confining Interactions | For two bound-state equations derived as simplified forms of the
Bethe-Salpeter equation with confining interaction, stability of all solutions
is rigorously shown.
| hep-ph astro-ph nucl-th | for two boundstate equations derived as simplified forms of the bethesalpeter equation with confining interaction stability of all solutions is rigorously shown | [['for', 'two', 'boundstate', 'equations', 'derived', 'as', 'simplified', 'forms', 'of', 'the', 'bethesalpeter', 'equation', 'with', 'confining', 'interaction', 'stability', 'of', 'all', 'solutions', 'is', 'rigorously', 'shown']] | [-0.1779005931722085, 0.05204599806827239, -0.10963410579345444, 0.10788783882427114, -0.04340810868465765, -0.16588324490426617, -0.0733035873960365, 0.23839691205119545, -0.2176351945593276, -0.24356851862235504, 0.043733420739458365, -0.28400779559954326, -0.14393192902207375, 0.13361319002102723, 0.1374303935603662, 0.14139612814919514, 0.0756628403799947, 0.030769530429758808, -0.09487452984533527, -0.21887158255346797, 0.40003187890926545, -0.09549117062918165, 0.24408018974248658, 0.10690751506692985, 0.1092768804254857, 0.0025964002759957857, 0.08338887134397571, -0.02504082341593775, -0.1546297143213451, 0.05013865643096241, 0.21661765293736773, 0.048084903677756134, 0.20418561080640013, -0.46574844665486703, -0.26046319339763035, -0.002799361732534387, 0.2704646125943823, 0.1391374384137717, -0.04113244790245186, -0.328544386069883, 0.013016022995791653, -0.18986468419263308, -0.2629095092839138, -0.1110492274588482, 0.0575861901214177, 0.09053405842066488, -0.2703168180517175, 0.10876189810435542, -0.0352888525124978, -0.0765525093619627, -0.24789926589106803, -0.15001183494248174, -0.07421465643512254, 0.06325938239354979, 0.0509170669935305, -0.049899886166465214, -0.007739703424952247, -0.20851393331858245, -0.04951722383372147, 0.4333939007060094, -0.10155196318572218, -0.34564085507934744, 0.17385824125217783, -0.06555690603669394, -0.045414733298292216, 0.15055886541747235, 0.08517056822099468, 0.12504457364874808, -0.2989913931285793, 0.14899611134420743, -0.014029425822875717, 0.10030072876675562, 0.13838392987170003, 0.0007688593204048547, 0.07236587342975492, 0.14579236050221053, 0.015579213007268581, 0.1260449454950338, 0.07596036249941046, -0.22349338193254714, -0.36722012202848087, -0.06584740662947297, -0.13168232067255303, 0.061365471708334306, -0.09728873370807957, -0.20367018417428798, 0.3499302616850896, 0.08371332939714193, 0.06804258566857739, 0.06937067168341442, 0.2353419231949374, 0.26057942308464344, -0.0017476220699873838, 0.0444044697902758, 0.33071178663522005, 0.2514680272645571, 0.0558156662366607, -0.28084858073006297, -0.011244600765745748, 0.1892147155647928] |
711.1737 | Schwarz Reflection Principle, Boundary Regularity and Compactness for
J-Complex Curves | We establish the Schwarz Reflection Principle for $J$-complex discs attached
to a real analytic $J$-totally real submanifold of an almost complex manifold
with real analytic $J$. We also prove the precise boundary regularity and
derive the precise convergence in Gromov compactness theorem in
$\calc^{k,\alpha}$-classes.
| math.CV math.SG | we establish the schwarz reflection principle for jcomplex discs attached to a real analytic jtotally real submanifold of an almost complex manifold with real analytic j we also prove the precise boundary regularity and derive the precise convergence in gromov compactness theorem in calckalphaclasses | [['we', 'establish', 'the', 'schwarz', 'reflection', 'principle', 'for', 'jcomplex', 'discs', 'attached', 'to', 'a', 'real', 'analytic', 'jtotally', 'real', 'submanifold', 'of', 'an', 'almost', 'complex', 'manifold', 'with', 'real', 'analytic', 'j', 'we', 'also', 'prove', 'the', 'precise', 'boundary', 'regularity', 'and', 'derive', 'the', 'precise', 'convergence', 'in', 'gromov', 'compactness', 'theorem', 'in', 'calckalphaclasses']] | [-0.17111383462768226, -0.04135330977892625, -0.12550998164252156, 0.13490087640959592, -0.1475620640086986, -0.09808222700043448, 0.014373981881709326, 0.3571793004160836, -0.23922621114512108, -0.21702023892707767, 0.1408915247136195, -0.19240469658481224, -0.14736391525227754, 0.2164262146966177, -0.18613658843207218, 0.06553322850682196, 0.09977583205770879, 0.036199131315307956, -0.08856503530183718, -0.23862386579137473, 0.42002707524668603, -0.07196844865878423, 0.17930994856717353, 0.10983885168319657, 0.096575367258906, 0.0447934567595699, -0.016613605121771496, -0.07861544169662964, -0.2673563030104907, 0.17371000015797713, 0.24239071954036176, 0.04002957426876362, 0.1790972804828059, -0.3967292958848356, -0.14618164059218197, 0.1362171386191178, 0.10811519660360534, -0.008038407125111138, -0.016734375424372654, -0.3360421442914577, 0.10819728225691333, -0.04427190568475496, -0.2975991880964665, -0.13482801871196853, 0.05011574837512204, 0.011240504992504915, -0.29265413322441636, 0.044163993243100344, 0.09416756224596784, 0.1483662314047771, -0.11571054539776274, -0.024760043514626368, -0.03360169529471369, 0.09768816916316393, 0.01658047613732162, 0.033227244802262815, 0.0915253293434424, 0.01976781416617866, -0.04973322555555829, 0.2912631180314791, -0.0800148347126586, -0.2858707548252174, 0.2119492112791964, -0.2171682711868059, -0.1472905099840968, 0.1266956548649995, 0.12348265828387368, 0.16540666403514998, -0.08186742643426571, 0.19120359048108748, -0.09088410993406017, 0.05925540435349658, 0.15198868201557725, -0.05532632457713286, 0.05958223746468624, 0.07847541140481121, 0.1831923781539358, 0.1274981439124704, 0.005371028385568587, -0.06972381861747376, -0.3552663159512338, -0.2560438932629213, -0.19503200335782908, 0.19203574964333148, -0.19344368494923747, -0.23731594461770283, 0.2873398699309854, 0.0519271085282699, 0.2014017959258386, 0.15508348188762153, 0.274373511295943, 0.12210569792382774, -0.04399545022863008, 0.11339001625864989, 0.2047888265833968, 0.25636878920098144, 0.07192732378219564, -0.13373522566897528, -0.054741521776165994, 0.14846564177423716] |
711.1738 | Transfer Matrices and Partition-Function Zeros for Antiferromagnetic
Potts Models. V. Further Results for the Square-Lattice Chromatic Polynomial | We derive some new structural results for the transfer matrix of
square-lattice Potts models with free and cylindrical boundary conditions. In
particular, we obtain explicit closed-form expressions for the dominant (at
large |q|) diagonal entry in the transfer matrix, for arbitrary widths m, as
the solution of a special one-dimensional polymer model. We also obtain the
large-q expansion of the bulk and surface (resp. corner) free energies for the
zero-temperature antiferromagnet (= chromatic polynomial) through order q^{-47}
(resp. q^{-46}). Finally, we compute chromatic roots for strips of widths 9 <=
m <= 12 with free boundary conditions and locate roughly the limiting curves.
| cond-mat.stat-mech hep-lat math.CO | we derive some new structural results for the transfer matrix of squarelattice potts models with free and cylindrical boundary conditions in particular we obtain explicit closedform expressions for the dominant at large q diagonal entry in the transfer matrix for arbitrary widths m as the solution of a special onedimensional polymer model we also obtain the largeq expansion of the bulk and surface resp corner free energies for the zerotemperature antiferromagnet chromatic polynomial through order q47 resp q46 finally we compute chromatic roots for strips of widths 9 m 12 with free boundary conditions and locate roughly the limiting curves | [['we', 'derive', 'some', 'new', 'structural', 'results', 'for', 'the', 'transfer', 'matrix', 'of', 'squarelattice', 'potts', 'models', 'with', 'free', 'and', 'cylindrical', 'boundary', 'conditions', 'in', 'particular', 'we', 'obtain', 'explicit', 'closedform', 'expressions', 'for', 'the', 'dominant', 'at', 'large', 'q', 'diagonal', 'entry', 'in', 'the', 'transfer', 'matrix', 'for', 'arbitrary', 'widths', 'm', 'as', 'the', 'solution', 'of', 'a', 'special', 'onedimensional', 'polymer', 'model', 'we', 'also', 'obtain', 'the', 'largeq', 'expansion', 'of', 'the', 'bulk', 'and', 'surface', 'resp', 'corner', 'free', 'energies', 'for', 'the', 'zerotemperature', 'antiferromagnet', 'chromatic', 'polynomial', 'through', 'order', 'q47', 'resp', 'q46', 'finally', 'we', 'compute', 'chromatic', 'roots', 'for', 'strips', 'of', 'widths', '9', 'm', '12', 'with', 'free', 'boundary', 'conditions', 'and', 'locate', 'roughly', 'the', 'limiting', 'curves']] | [-0.1391242052742033, 0.12660571903807624, -0.008643635876514778, 0.045424311260255625, -0.04707518441849673, -0.17750880597824498, 0.02249572409925108, 0.37674054119507877, -0.22617919159796546, -0.26318117479641673, 0.12080317726881452, -0.272397427769777, -0.1159852967652188, 0.15006927922558116, 0.03540090278826882, 0.07320875419500968, 0.038320212278096955, 0.0724151682118144, -0.13735821652131117, -0.19374480180214254, 0.30445960671605293, -0.018612644806200146, 0.22083753303681708, 0.0961319089157249, 0.08957683330589468, 0.026602587717281162, 0.04919284862485163, -0.0191393448420021, -0.2945371300305183, 0.09311313030538054, 0.20702758836441904, -0.005039055413585536, 0.15092121386349353, -0.40942474234164977, -0.1457012063747614, 0.12905959746674445, 0.14634142565179845, 0.09794813079037229, -0.0017697426243400087, -0.20787826520200742, 0.09457731169971581, -0.16035725251410385, -0.18891141968494168, -0.04369330632842469, 0.04252078565673865, 0.026839034969215185, -0.3107197355973173, 0.07216788877997957, 0.04553399296781542, 0.07579723797852592, -0.08402804323776188, -0.1965607959677332, -0.03944683395924845, 0.13945260099420437, -0.003736728808262899, -0.03801055921940133, 0.05288579246523429, -0.14440373329407707, -0.06046406460013621, 0.36326853657255365, -0.07102629073779099, -0.20591607219919714, 0.1293716955198241, -0.19893425862704003, -0.08685677158361187, 0.17205804084280354, 0.1388755400322986, 0.11575913056170678, -0.09671165599316663, 0.1280935696327384, -0.06805748118762384, 0.1068583903736221, 0.11898625474803302, -0.012684060089594247, 0.15803324997101967, 0.06312782560446661, 0.07418075807829749, 0.2207029677621013, -0.09879511501640081, -0.08131007335091732, -0.34261590375431944, -0.1815914744558763, -0.18443152576456873, 0.06280307094946656, -0.1803152908053432, -0.2184699059901189, 0.36815450363317315, 0.10484293617346153, 0.19399932206000145, 0.12046812897624105, 0.21413845793054231, 0.1492285804849175, 0.010066134673771947, 0.10610558388165076, 0.13392568419702894, 0.20988514210924278, 0.051133747523821584, -0.21149308235878694, -0.012908220754423159, 0.14987354800200128] |
711.1739 | Galois actions on models of curves | We study group actions on regular models of curves. If $X$ is a smooth curve
defined over the fraction field $K$ of a complete d.v.r. $R$, every tamely
ramified extension $K'/K$ with Galois group $G$ induces a $G$-action on
$X_{K'}$. In this paper we study the extension of this $G$-action to certain
regular models of $X_{K'}$. In particular, we obtain a formula for the Brauer
trace of the endomorphism induced by a group element on the alternating sum of
the cohomology groups of the structure sheaf of the special fiber of such a
regular model. Inspired by this global study, we also consider similar
questions for Galois actions on the exceptional locus of a tame cyclic quotient
singularity.
We apply these results to study a natural filtration of the special fiber of
the N\'eron model of the Jacobian of $X$ by closed, unipotent subgroup schemes.
We show that the jumps in this filtration only depend on the fiber type of the
special fiber of the minimal regular model with strict normal crossings for $X$
over $\Spec(R)$, and in particular are independent of the residue
characteristic. Furthermore, we obtain information about where these jumps
occur. We also compute the jumps for each of the finitely many possible fiber
type for curves of genus 1 and 2.
| math.AG | we study group actions on regular models of curves if x is a smooth curve defined over the fraction field k of a complete dvr r every tamely ramified extension kk with galois group g induces a gaction on x_k in this paper we study the extension of this gaction to certain regular models of x_k in particular we obtain a formula for the brauer trace of the endomorphism induced by a group element on the alternating sum of the cohomology groups of the structure sheaf of the special fiber of such a regular model inspired by this global study we also consider similar questions for galois actions on the exceptional locus of a tame cyclic quotient singularity we apply these results to study a natural filtration of the special fiber of the neron model of the jacobian of x by closed unipotent subgroup schemes we show that the jumps in this filtration only depend on the fiber type of the special fiber of the minimal regular model with strict normal crossings for x over specr and in particular are independent of the residue characteristic furthermore we obtain information about where these jumps occur we also compute the jumps for each of the finitely many possible fiber type for curves of genus 1 and 2 | [['we', 'study', 'group', 'actions', 'on', 'regular', 'models', 'of', 'curves', 'if', 'x', 'is', 'a', 'smooth', 'curve', 'defined', 'over', 'the', 'fraction', 'field', 'k', 'of', 'a', 'complete', 'dvr', 'r', 'every', 'tamely', 'ramified', 'extension', 'kk', 'with', 'galois', 'group', 'g', 'induces', 'a', 'gaction', 'on', 'x_k', 'in', 'this', 'paper', 'we', 'study', 'the', 'extension', 'of', 'this', 'gaction', 'to', 'certain', 'regular', 'models', 'of', 'x_k', 'in', 'particular', 'we', 'obtain', 'a', 'formula', 'for', 'the', 'brauer', 'trace', 'of', 'the', 'endomorphism', 'induced', 'by', 'a', 'group', 'element', 'on', 'the', 'alternating', 'sum', 'of', 'the', 'cohomology', 'groups', 'of', 'the', 'structure', 'sheaf', 'of', 'the', 'special', 'fiber', 'of', 'such', 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'many', 'possible', 'fiber', 'type', 'for', 'curves', 'of', 'genus', '1', 'and', '2']] | [-0.21033973864951105, 0.05368301845697123, -0.10832980617361013, 0.03304042765534981, -0.08630136648886079, -0.14932285936895845, 0.033260281982311846, 0.35436693478462306, -0.34237493612738545, -0.17024394795515163, 0.09920870905828684, -0.22064056301294543, -0.14740331249614788, 0.21433867911894827, -0.1557705801976628, -0.05629723188846351, 0.03205736731531012, 0.15208567023537187, -0.08823175889596906, -0.28200144374873054, 0.40542312516116125, -0.0659895863210739, 0.21647359758268955, 0.015263542304421927, 0.1369360928117774, 0.041063696795771286, -0.017519167714297425, -0.009848092134695414, -0.18573988762397867, 0.11822055705747199, 0.27252616290761794, 0.046948149515726054, 0.20713660565724726, -0.36880092977933304, -0.17875000541639882, 0.24386971208245256, 0.10246414861663483, 0.01830201942343698, -0.00771074891577713, -0.23470769424619542, 0.14460310961639639, -0.17621720693139142, 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711.174 | When do linear combinations of orthogonal polynomials yield new
sequences of orthogonal polynomials? | Given $\{P_n \}$ a sequence of monic orthogonal polynomials, we analyze their
linear combinations $\{Q_n \}$with constant coefficients and fixed length
$k+1$. Necessary and sufficient conditions are given for the orthogonality of
the monic sequence $\{Q_n \}$ as well as an interesting interpretation in terms
of the Jacobi matrices associated with $\{P_n \}$ and $\{Q_n \}$. Moreover, in
the case $k=2$, we characterize the families $\{P_n \}$ such that the
corresponding polynomials $\{Q_n \}$ are also orthogonal.
| math.CA | given p_n a sequence of monic orthogonal polynomials we analyze their linear combinations q_n with constant coefficients and fixed length k1 necessary and sufficient conditions are given for the orthogonality of the monic sequence q_n as well as an interesting interpretation in terms of the jacobi matrices associated with p_n and q_n moreover in the case k2 we characterize the families p_n such that the corresponding polynomials q_n are also orthogonal | [['given', 'p_n', 'a', 'sequence', 'of', 'monic', 'orthogonal', 'polynomials', 'we', 'analyze', 'their', 'linear', 'combinations', 'q_n', 'with', 'constant', 'coefficients', 'and', 'fixed', 'length', 'k1', 'necessary', 'and', 'sufficient', 'conditions', 'are', 'given', 'for', 'the', 'orthogonality', 'of', 'the', 'monic', 'sequence', 'q_n', 'as', 'well', 'as', 'an', 'interesting', 'interpretation', 'in', 'terms', 'of', 'the', 'jacobi', 'matrices', 'associated', 'with', 'p_n', 'and', 'q_n', 'moreover', 'in', 'the', 'case', 'k2', 'we', 'characterize', 'the', 'families', 'p_n', 'such', 'that', 'the', 'corresponding', 'polynomials', 'q_n', 'are', 'also', 'orthogonal']] | [-0.2300864724101315, 0.1325678059334857, -0.006581268771748308, 0.013761917457089459, -0.03851646512195888, -0.13035809123416392, -0.03818331359111717, 0.37090752045558373, -0.33372784657797344, -0.17395374431392888, 0.09418235764786287, -0.28645054340152676, -0.22102031859398727, 0.15218856951720278, -0.09968043763426618, 0.0947066516267844, 0.05812248478735417, 0.13737026199331165, -0.11318074639322577, -0.301538335041366, 0.28237234808924333, -0.002782397549337065, 0.14621729111876075, -0.08984885173259487, 0.10401575096135199, 0.02376857561282289, 0.004091763606583568, -0.07350781686525319, -0.2316152349440914, 0.05853024694386502, 0.25810444060529414, 0.15893715751213086, 0.22417062786604527, -0.35237517401995794, -0.03941723070776378, 0.25489423808340034, 0.22217485449001403, -0.047543492601056336, 0.02257506811702755, -0.1979497647221187, 0.098585379532945, -0.10014422307066409, -0.20623493723204017, -0.09045296040048796, 0.05331386004010556, 0.1364349006924411, -0.3690531373181393, 0.024658277325420707, 0.13848369236884664, 0.12465758819762669, -0.014377478798720198, -0.24932160436398756, -0.03918336111802975, 0.10917472365167989, -0.007202239620210734, 0.0018023101507987774, -0.04128868382712695, -0.060500360339958696, -0.10005196286234218, 0.3830656561948044, -0.027673526522769054, -0.2800967166213397, 0.07549647496304882, -0.2201158227661336, -0.1631344442557491, 0.07749482402971512, 0.10259600551667768, 0.1213584763693138, -0.05908531565743853, 0.11808871206069942, -0.1365624241347254, 0.05438263941241402, 0.210740036501641, 0.12191831104090096, 0.14110942943100357, -0.04973672969188069, 0.08008666844172797, 0.19513413619617342, 0.04712478939729126, -0.026455703480038006, -0.33427456284965007, -0.128285722702112, -0.22344514663318094, 0.06936813878144701, -0.25866910564638573, -0.14332907879069237, 0.36847944034945584, 0.061108388269031554, 0.22456099504841046, 0.13856468335266264, 0.2111834781769086, 0.17801152330308392, 0.025336370055734272, 0.03762446490155769, 0.018657296515581474, 0.2587879931006554, -0.014978173018341333, -0.21949238566235757, 0.04526435370921013, 0.1614049609789861] |
711.1741 | Phase behavior of wormlike rods | By employing Molecular Dynamics computer simulations, the phase behavior of
systems of rodlike particles with varying degree of internal flexibility has
been traced from the perfectly rigid rod limit till very flexible particles,
and from the high density region till the isotropic phase. From the perfectly
rigid rod limit and enhancing the internal flexibility, the range of the
smectic A phase is squeezed out by the concomitant action of the scarcely
affected crystalline phase at higher density and the nematic phase at lower
density, until it disappears. These results confirm the supposition, drawn from
previous theoretical, simulational and experimental studies, that the smectic A
phase is destabilized by introducing and enhancing the degree of particle
internal flexibility. However, no significant changes in the order of
nematic--to--smectic A phase transition, which appears always first order, nor
in the value of the layer spacing, are observed upon varying the degree of
particle internal flexibility. Moreover, no evidence of a columnar phase, which
was tought of as a possible superseder of the smectic A phase in flexible rods,
has been obtained.
| cond-mat.soft cond-mat.stat-mech | by employing molecular dynamics computer simulations the phase behavior of systems of rodlike particles with varying degree of internal flexibility has been traced from the perfectly rigid rod limit till very flexible particles and from the high density region till the isotropic phase from the perfectly rigid rod limit and enhancing the internal flexibility the range of the smectic a phase is squeezed out by the concomitant action of the scarcely affected crystalline phase at higher density and the nematic phase at lower density until it disappears these results confirm the supposition drawn from previous theoretical simulational and experimental studies that the smectic a phase is destabilized by introducing and enhancing the degree of particle internal flexibility however no significant changes in the order of nematictosmectic a phase transition which appears always first order nor in the value of the layer spacing are observed upon varying the degree of particle internal flexibility moreover no evidence of a columnar phase which was tought of as a possible superseder of the smectic a phase in flexible rods has been obtained | [['by', 'employing', 'molecular', 'dynamics', 'computer', 'simulations', 'the', 'phase', 'behavior', 'of', 'systems', 'of', 'rodlike', 'particles', 'with', 'varying', 'degree', 'of', 'internal', 'flexibility', 'has', 'been', 'traced', 'from', 'the', 'perfectly', 'rigid', 'rod', 'limit', 'till', 'very', 'flexible', 'particles', 'and', 'from', 'the', 'high', 'density', 'region', 'till', 'the', 'isotropic', 'phase', 'from', 'the', 'perfectly', 'rigid', 'rod', 'limit', 'and', 'enhancing', 'the', 'internal', 'flexibility', 'the', 'range', 'of', 'the', 'smectic', 'a', 'phase', 'is', 'squeezed', 'out', 'by', 'the', 'concomitant', 'action', 'of', 'the', 'scarcely', 'affected', 'crystalline', 'phase', 'at', 'higher', 'density', 'and', 'the', 'nematic', 'phase', 'at', 'lower', 'density', 'until', 'it', 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0.11654917030351829, -0.004568382990493608] |
711.1742 | In response to the comments by Murphy et al. (arxiv:0708.3677) | In their comment, Murphy et al. (arxiv:0708.3677) criticize the fitting
procedure we used in two previous papers [Srianand et al. 2004(Paper I) and
Chand et al. 2004 (Paper II)] and conclude that the above papers offers no
stringent test to previous evidence for varying fine structure constant. We
think this is a hasty conclusion as (a) our procedure is robust as shown in
Paper II; (b) the data used by Murphy et al., in particular the error array,
are different from ours and there are differences in the fitting procedure; (c)
despite these differences, 70 per cent of their individual measurements are
consistent with that quoted in Paper II. Our reanalysis using VPFIT with
identical initial guess parameters leads to \Delta\alpha/\alpha =
(0.01+/-0.15)x 10^{-5}$ for 21 systems (excluding two systems that deviate at
more than 3$\sigma$ level) with very little scatter (\chi^2_\nu ~1).
| astro-ph hep-th physics.atom-ph | in their comment murphy et al arxiv07083677 criticize the fitting procedure we used in two previous papers srianand et al 2004paper i and chand et al 2004 paper ii and conclude that the above papers offers no stringent test to previous evidence for varying fine structure constant we think this is a hasty conclusion as a our procedure is robust as shown in paper ii b the data used by murphy et al in particular the error array are different from ours and there are differences in the fitting procedure c despite these differences 70 per cent of their individual measurements are consistent with that quoted in paper ii our reanalysis using vpfit with identical initial guess parameters leads to deltaalphaalpha 001015x 105 for 21 systems excluding two systems that deviate at more than 3sigma level with very little scatter chi2_nu 1 | [['in', 'their', 'comment', 'murphy', 'et', 'al', 'arxiv07083677', 'criticize', 'the', 'fitting', 'procedure', 'we', 'used', 'in', 'two', 'previous', 'papers', 'srianand', 'et', 'al', '2004paper', 'i', 'and', 'chand', 'et', 'al', '2004', 'paper', 'ii', 'and', 'conclude', 'that', 'the', 'above', 'papers', 'offers', 'no', 'stringent', 'test', 'to', 'previous', 'evidence', 'for', 'varying', 'fine', 'structure', 'constant', 'we', 'think', 'this', 'is', 'a', 'hasty', 'conclusion', 'as', 'a', 'our', 'procedure', 'is', 'robust', 'as', 'shown', 'in', 'paper', 'ii', 'b', 'the', 'data', 'used', 'by', 'murphy', 'et', 'al', 'in', 'particular', 'the', 'error', 'array', 'are', 'different', 'from', 'ours', 'and', 'there', 'are', 'differences', 'in', 'the', 'fitting', 'procedure', 'c', 'despite', 'these', 'differences', '70', 'per', 'cent', 'of', 'their', 'individual', 'measurements', 'are', 'consistent', 'with', 'that', 'quoted', 'in', 'paper', 'ii', 'our', 'reanalysis', 'using', 'vpfit', 'with', 'identical', 'initial', 'guess', 'parameters', 'leads', 'to', 'deltaalphaalpha', '001015x', '105', 'for', '21', 'systems', 'excluding', 'two', 'systems', 'that', 'deviate', 'at', 'more', 'than', '3sigma', 'level', 'with', 'very', 'little', 'scatter', 'chi2_nu', '1']] | [-0.03080299057371298, 0.053572505957065086, -0.024228727096597926, 0.04724114135045076, -0.07418259113973422, -0.14164693302495016, 0.09754107244942578, 0.384123345300984, -0.1277649601579731, -0.4394349489334247, 0.053677087755230585, -0.30822903708481103, -0.1287391178658326, 0.2057199687730494, -0.1269139797500462, 0.02973072706522184, 0.07869019842096905, -0.09579627307319491, -0.06147394251085067, -0.3067407899070531, 0.2658758719934137, 0.1232970896187044, 0.25491671945410616, -0.03195321576656412, 0.012468193908114817, -0.026623511819249327, -0.12418681994187745, 0.029680355609454912, -0.15769651668097467, 0.08536028194998344, 0.2104546713304418, 0.13558555866772537, 0.2493003810899962, -0.3638631670246665, -0.17323822090435748, 0.07275836716787956, 0.11524795270564701, 0.12713046756023608, -0.02482430296734381, -0.25014753137520856, 0.0693293719287801, -0.1839369793620175, -0.10357292731151842, -0.020531673463423262, 0.08869596871232494, -0.015610449007719004, -0.276417741343034, 0.14845496261653177, 0.07043262904261996, 0.07983594630985595, -0.03179527016142182, -0.19964630834476874, -0.01674882100774444, 0.05199239764483177, 0.008361518808486436, 0.07038784860034486, 0.07372070775240017, -0.02894302756565777, -0.09843097091819956, 0.3469873044083712, -0.06504942182329627, -0.11449009943887484, 0.21858619172260058, -0.10879039873951953, -0.2008079434711513, 0.0825659245078405, 0.09984762739832345, 0.06764142826474238, -0.13344155034266425, 0.07505558685294064, -0.06587695185406629, 0.19089212393213947, 0.09721182369821363, -0.013458928991973453, 0.1608783124992959, 0.08611394385405206, -0.021217037340719922, 0.02363895872112015, -0.09063786970076265, -0.04483249859395269, -0.28477209528720526, -0.09558197859927624, -0.1334045376861468, 0.026053986253330764, -0.035757606399849415, -0.09542858890126285, 0.32699473855661887, 0.21378581039607525, 0.2563398738044964, 0.040089908820617165, 0.2343460908997134, 0.07073995122508474, 0.00028388762533356496, 0.11476993778546293, 0.32178412270296713, 0.08555214640537022, 0.10421482863561284, -0.14645571318721373, 0.07950828120233022, -0.009667242776682908] |
711.1743 | Heavy quarkonium in any channel in resummed hot QCD | We elaborate on the fact that quarkonium in hot QCD should not be thought of
as a stationary bound state in a temperature-dependent real potential, but as a
short-lived transient, with an exponentially decaying wave function. The reason
is the existence of an imaginary part in the pertinent static potential,
signalling the ``disappearance'', due to inelastic scatterings with hard
particles in the plasma, of the off-shell gluons that bind the quarks together.
By solving the corresponding Schr\"odinger equation, we estimate numerically
the near-threshold spectral functions in scalar, pseudoscalar, vector and axial
vector channels, as a function of the temperature and of the heavy quark mass.
In particular, we point out a subtlety in the determination of the scalar
channel spectral function and, resolving it to the best of our understanding,
suggest that at least in the bottomonium case, a resonance peak can be observed
also in the scalar channel, even though it is strongly suppressed with respect
to the peak in the vector channel. Finally, we plot the physical dilepton
production rate, stressing that despite the eventual disappearance of the
resonance peak from the corresponding spectral function, the quarkonium
contribution to the dilepton rate becomes more pronounced with increasing
temperature, because of the yield from free heavy quarks.
| hep-ph | we elaborate on the fact that quarkonium in hot qcd should not be thought of as a stationary bound state in a temperaturedependent real potential but as a shortlived transient with an exponentially decaying wave function the reason is the existence of an imaginary part in the pertinent static potential signalling the disappearance due to inelastic scatterings with hard particles in the plasma of the offshell gluons that bind the quarks together by solving the corresponding schrodinger equation we estimate numerically the nearthreshold spectral functions in scalar pseudoscalar vector and axial vector channels as a function of the temperature and of the heavy quark mass in particular we point out a subtlety in the determination of the scalar channel spectral function and resolving it to the best of our understanding suggest that at least in the bottomonium case a resonance peak can be observed also in the scalar channel even though it is strongly suppressed with respect to the peak in the vector channel finally we plot the physical dilepton production rate stressing that despite the eventual disappearance of the resonance peak from the corresponding spectral function the quarkonium contribution to the dilepton rate becomes more pronounced with increasing temperature because of the yield from free heavy quarks | [['we', 'elaborate', 'on', 'the', 'fact', 'that', 'quarkonium', 'in', 'hot', 'qcd', 'should', 'not', 'be', 'thought', 'of', 'as', 'a', 'stationary', 'bound', 'state', 'in', 'a', 'temperaturedependent', 'real', 'potential', 'but', 'as', 'a', 'shortlived', 'transient', 'with', 'an', 'exponentially', 'decaying', 'wave', 'function', 'the', 'reason', 'is', 'the', 'existence', 'of', 'an', 'imaginary', 'part', 'in', 'the', 'pertinent', 'static', 'potential', 'signalling', 'the', 'disappearance', 'due', 'to', 'inelastic', 'scatterings', 'with', 'hard', 'particles', 'in', 'the', 'plasma', 'of', 'the', 'offshell', 'gluons', 'that', 'bind', 'the', 'quarks', 'together', 'by', 'solving', 'the', 'corresponding', 'schrodinger', 'equation', 'we', 'estimate', 'numerically', 'the', 'nearthreshold', 'spectral', 'functions', 'in', 'scalar', 'pseudoscalar', 'vector', 'and', 'axial', 'vector', 'channels', 'as', 'a', 'function', 'of', 'the', 'temperature', 'and', 'of', 'the', 'heavy', 'quark', 'mass', 'in', 'particular', 'we', 'point', 'out', 'a', 'subtlety', 'in', 'the', 'determination', 'of', 'the', 'scalar', 'channel', 'spectral', 'function', 'and', 'resolving', 'it', 'to', 'the', 'best', 'of', 'our', 'understanding', 'suggest', 'that', 'at', 'least', 'in', 'the', 'bottomonium', 'case', 'a', 'resonance', 'peak', 'can', 'be', 'observed', 'also', 'in', 'the', 'scalar', 'channel', 'even', 'though', 'it', 'is', 'strongly', 'suppressed', 'with', 'respect', 'to', 'the', 'peak', 'in', 'the', 'vector', 'channel', 'finally', 'we', 'plot', 'the', 'physical', 'dilepton', 'production', 'rate', 'stressing', 'that', 'despite', 'the', 'eventual', 'disappearance', 'of', 'the', 'resonance', 'peak', 'from', 'the', 'corresponding', 'spectral', 'function', 'the', 'quarkonium', 'contribution', 'to', 'the', 'dilepton', 'rate', 'becomes', 'more', 'pronounced', 'with', 'increasing', 'temperature', 'because', 'of', 'the', 'yield', 'from', 'free', 'heavy', 'quarks']] | [-0.0915775327465291, 0.2155368881731892, -0.10367864553028575, 0.11406512025972076, -0.04070854825700875, -0.1215018545716213, 0.043742831297165066, 0.3316972737128918, -0.22475338333662456, -0.23623584915661083, 0.028295528970864743, -0.3109865732504449, -0.07713318147496186, 0.13361805334212618, 0.047213990208827175, 0.061632832924190625, 0.06289085511245783, 0.07277657125982492, -0.059297543813255076, -0.19457613719546665, 0.35382897915238015, 0.05175560659531934, 0.22246657911679135, 0.17156535261221087, 0.02384919173290165, 0.029114157650977947, -0.011147198083982892, -0.055863263562899265, -0.06470419183495743, 0.024544942123331845, 0.20645783568593637, 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711.1744 | Cosmological constant, brane tension and large hierarchy in a
generalized Randall-Sundrum braneworld scenario | We consider a generalized Randall Sundrum (RS) brane world scenario with a
cosmological constant $\Omega$ induced on the visible brane. We show that for
$\Omega<0$, resolution of the hierarchy problem requires an upper bound on the
magnitude of $\Omega$. The corresponding tension on the visible brane can be
positive or negative. On the other hand, there is no such bound for $\Omega>0$.
However, in this case, the resolution of the hierarchy problem along with the
tuning of the value of the cosmological constant to its observed value closed
to $+10^{-124}$ (in Planck units) naturally lead to the tuning of the modulus
to a small value of inverse Planck length as estimated in the original RS
scenario.
| hep-th | we consider a generalized randall sundrum rs brane world scenario with a cosmological constant omega induced on the visible brane we show that for omega0 resolution of the hierarchy problem requires an upper bound on the magnitude of omega the corresponding tension on the visible brane can be positive or negative on the other hand there is no such bound for omega0 however in this case the resolution of the hierarchy problem along with the tuning of the value of the cosmological constant to its observed value closed to 10124 in planck units naturally lead to the tuning of the modulus to a small value of inverse planck length as estimated in the original rs scenario | [['we', 'consider', 'a', 'generalized', 'randall', 'sundrum', 'rs', 'brane', 'world', 'scenario', 'with', 'a', 'cosmological', 'constant', 'omega', 'induced', 'on', 'the', 'visible', 'brane', 'we', 'show', 'that', 'for', 'omega0', 'resolution', 'of', 'the', 'hierarchy', 'problem', 'requires', 'an', 'upper', 'bound', 'on', 'the', 'magnitude', 'of', 'omega', 'the', 'corresponding', 'tension', 'on', 'the', 'visible', 'brane', 'can', 'be', 'positive', 'or', 'negative', 'on', 'the', 'other', 'hand', 'there', 'is', 'no', 'such', 'bound', 'for', 'omega0', 'however', 'in', 'this', 'case', 'the', 'resolution', 'of', 'the', 'hierarchy', 'problem', 'along', 'with', 'the', 'tuning', 'of', 'the', 'value', 'of', 'the', 'cosmological', 'constant', 'to', 'its', 'observed', 'value', 'closed', 'to', '10124', 'in', 'planck', 'units', 'naturally', 'lead', 'to', 'the', 'tuning', 'of', 'the', 'modulus', 'to', 'a', 'small', 'value', 'of', 'inverse', 'planck', 'length', 'as', 'estimated', 'in', 'the', 'original', 'rs', 'scenario']] | [-0.15662956933073444, 0.12055992156857773, -0.022766994139789765, 0.07952466242593424, -0.11250427292643822, -0.15302529198053325, 0.043470327485481214, 0.3155252741236272, -0.2703489097927151, -0.31779053449983996, 0.11304210367660712, -0.25838029133316515, -0.07753358052939112, 0.18922400385831836, -0.04310256321834208, 0.0050338372173678965, 0.009876386575593516, 0.10383633543448202, -0.04891405885453047, -0.23191973323941809, 0.3467552390648052, 0.05185960260207829, 0.2398428433084989, 0.06981072808085972, 0.09823352859178879, -0.05404180212444144, 0.01906738786833714, 0.0362147581482563, -0.1848771641275405, 0.09582474377158837, 0.17019537743582422, 0.09394496647191458, 0.1961718230460096, -0.37054991642221935, -0.2198385663394784, 0.14886081276525712, 0.14391906721445186, 0.08335997987988181, -0.012700760255342928, -0.24696289467553062, 0.10307644058524727, -0.10664956192365559, -0.12976099840558036, 0.0524352710686046, 0.02293963536844942, -0.10301239893406405, -0.2739404366624638, 0.12160477409910025, 0.007524457069691913, -0.01777387289395596, -0.10789145974558778, -0.13501293312533405, -0.018280784599483013, 0.05478230137016688, 0.11740585701672585, 0.046531591013451265, 0.09554736822811437, -0.1474786448505193, -0.08983196207956443, 0.37388219962153457, -0.14264219194040473, -0.21607110431771084, 0.12018462289767019, -0.15273027372112946, -0.09957835430696864, 0.05413305067963063, 0.10773202053528151, 0.11001917900334932, -0.05408180940591184, 0.18915829613226756, -0.04796883329781222, 0.21302635273253867, 0.13239495302068777, 0.01809686231968828, 0.22440864534342084, 0.15116951895771338, 0.10576575093677845, 0.11816860841344319, -0.08391011107696927, -0.08622144008906366, -0.33526213760969453, -0.09657660563946059, -0.17688744498621511, 0.08395284268571514, -0.177009590483945, -0.1847170028385931, 0.3379111737173436, 0.12143870890702538, 0.26692223164317164, 0.053056444119710215, 0.26821028696501564, 0.11665057155187242, 0.0859745058390625, 0.03508580205078911, 0.2828870768787275, 0.05295803925074669, 0.10651921880720504, -0.25777191421868084, 0.006159180249408658, 0.0490666692072911] |
711.1745 | An x-ray resonant diffraction study of multiferroic DyMn2O5 | X-ray resonant scattering has been used to measure the magnetic order of the
Dy ions below 40K in multiferroic DyMn$_{2}$O$_{5}$. The magnetic order has a
complex behaviour. There are several different ordering wavevectors, both
incommensurate and commensurate, as the temperature is varied. In addition a
non-magnetic signal at twice the wavevector of one of the commensurate signals
is observed, the maximum intensity of which occurs at the same temperature as a
local maximum in the ferroelectric polarisation. Some of the results, which
bear resemblence to the behaviour of other members of the RMn$_{2}$O$_{5}$
family of multiferroic materials, may be explained by a theory based on
so-called acentric spin-density waves.
| cond-mat.str-el | xray resonant scattering has been used to measure the magnetic order of the dy ions below 40k in multiferroic dymn_2o_5 the magnetic order has a complex behaviour there are several different ordering wavevectors both incommensurate and commensurate as the temperature is varied in addition a nonmagnetic signal at twice the wavevector of one of the commensurate signals is observed the maximum intensity of which occurs at the same temperature as a local maximum in the ferroelectric polarisation some of the results which bear resemblence to the behaviour of other members of the rmn_2o_5 family of multiferroic materials may be explained by a theory based on socalled acentric spindensity waves | [['xray', 'resonant', 'scattering', 'has', 'been', 'used', 'to', 'measure', 'the', 'magnetic', 'order', 'of', 'the', 'dy', 'ions', 'below', '40k', 'in', 'multiferroic', 'dymn_2o_5', 'the', 'magnetic', 'order', 'has', 'a', 'complex', 'behaviour', 'there', 'are', 'several', 'different', 'ordering', 'wavevectors', 'both', 'incommensurate', 'and', 'commensurate', 'as', 'the', 'temperature', 'is', 'varied', 'in', 'addition', 'a', 'nonmagnetic', 'signal', 'at', 'twice', 'the', 'wavevector', 'of', 'one', 'of', 'the', 'commensurate', 'signals', 'is', 'observed', 'the', 'maximum', 'intensity', 'of', 'which', 'occurs', 'at', 'the', 'same', 'temperature', 'as', 'a', 'local', 'maximum', 'in', 'the', 'ferroelectric', 'polarisation', 'some', 'of', 'the', 'results', 'which', 'bear', 'resemblence', 'to', 'the', 'behaviour', 'of', 'other', 'members', 'of', 'the', 'rmn_2o_5', 'family', 'of', 'multiferroic', 'materials', 'may', 'be', 'explained', 'by', 'a', 'theory', 'based', 'on', 'socalled', 'acentric', 'spindensity', 'waves']] | [-0.18817310943699408, 0.22528932007736768, -0.046785421971300686, 0.040693355398683774, -0.07793195240406527, -0.07819150781465901, 0.05152706240834151, 0.3829730410577246, -0.2671619738555617, -0.27176182044463026, 0.061484205800634635, -0.35211662599747934, -0.09532989696082142, 0.1786986183832158, 0.08185910395588036, 0.020533730696317636, -0.09881521881713222, 0.06737105332797876, -0.10373389000435257, -0.18612131552718994, 0.25385557581170426, 0.004764145630394557, 0.27151840009416145, 0.04688287005518322, 0.05893313041801944, -0.03478495683521032, 0.12853315908082383, 0.026973726289320946, -0.10339216774122582, 0.036008413962985354, 0.278369339571024, -0.01973820829341464, 0.2033432816815211, -0.401277722325176, -0.22786082561058854, 0.054943893837777, 0.11849958619697848, 0.10166764917947282, -0.04719881713282558, -0.25543674924928284, 0.07262986715607068, -0.10589241759454901, -0.14433363279655437, -0.058776117192960727, -0.022102304344082734, 0.05602558390064924, -0.24899135214380091, 0.07776641937541878, 0.08397406205552181, 0.1165021574297161, -0.10277333983254654, -0.15235572056499896, -0.07622369432701143, 0.037732108427142655, 0.09306829186863508, 0.09069120182862712, 0.11835937411524355, -0.08462738066144218, -0.1234953536940911, 0.3783707294114046, -0.06640145006693071, -0.05313339633910261, 0.16373480834213464, -0.2425776658864278, -0.09367575964252292, 0.21846095382675734, 0.13300128750227116, 0.09130842063718268, -0.12648275506648202, 0.06298442485826349, -0.014749820630876693, 0.18663441023306437, 0.09781998532168844, 0.08718723323437627, 0.245909567959003, 0.18259640677112016, 0.024299756718661497, 0.13516612248268858, -0.14373035257880543, -0.02468703669944295, -0.21548608287304416, -0.11877083124084122, -0.2086044108900414, 0.0009075044675868143, -0.09226410336567722, -0.18753504988530445, 0.4068377062514493, 0.12833639305554917, 0.19017486422564145, -0.09074784231941319, 0.2288521654834902, 0.13010325317521132, 0.08550925047624063, 0.0030043832742160667, 0.2861332579106804, 0.1852234730397834, 0.12979755695064174, -0.26231323358714925, 0.12950431487816214, -0.013749161940251253] |
711.1746 | Lupus-TR-3b: A Low-Mass Transiting Hot Jupiter in the Galactic Plane? | We present a strong case for a transiting Hot Jupiter planet identified
during a single-field transit survey towards the Lupus Galactic plane. The
object, Lupus-TR-3b, transits a V=17.4 K1V host star every 3.91405d.
Spectroscopy and stellar colors indicate a host star with effective temperature
5000 +/- 150K, with a stellar mass and radius of 0.87 +/- 0.04M_sun and 0.82
+/- 0.05R_sun, respectively. Limb-darkened transit fitting yields a companion
radius of 0.89 +/- 0.07R_J and an orbital inclination of 88.3 +1.3/-0.8 deg.
Magellan 6.5m MIKE radial velocity measurements reveal a 2.4 sigma K=114 +/-
25m/s sinusoidal variation in phase with the transit ephemeris. The resulting
mass is 0.81 +/- 0.18M_J and density 1.4 +/- 0.4g/cm^3. Y-band PANIC image
deconvolution reveal a V>=21 red neighbor 0.4'' away which, although highly
unlikely, we cannot conclusively rule out as a blended binary with current
data. However, blend simulations show that only the most unusual binary system
can reproduce our observations. This object is very likely a planet, detected
from a highly efficient observational strategy. Lupus-TR-3b constitutes the
faintest ground-based detection to date, and one of the lowest mass Hot
Jupiters known.
| astro-ph | we present a strong case for a transiting hot jupiter planet identified during a singlefield transit survey towards the lupus galactic plane the object lupustr3b transits a v174 k1v host star every 391405d spectroscopy and stellar colors indicate a host star with effective temperature 5000 150k with a stellar mass and radius of 087 004m_sun and 082 005r_sun respectively limbdarkened transit fitting yields a companion radius of 089 007r_j and an orbital inclination of 883 1308 deg magellan 65m mike radial velocity measurements reveal a 24 sigma k114 25ms sinusoidal variation in phase with the transit ephemeris the resulting mass is 081 018m_j and density 14 04gcm3 yband panic image deconvolution reveal a v21 red neighbor 04 away which although highly unlikely we cannot conclusively rule out as a blended binary with current data however blend simulations show that only the most unusual binary system can reproduce our observations this object is very likely a planet detected from a highly efficient observational strategy lupustr3b constitutes the faintest groundbased detection to date and one of the lowest mass hot jupiters known | [['we', 'present', 'a', 'strong', 'case', 'for', 'a', 'transiting', 'hot', 'jupiter', 'planet', 'identified', 'during', 'a', 'singlefield', 'transit', 'survey', 'towards', 'the', 'lupus', 'galactic', 'plane', 'the', 'object', 'lupustr3b', 'transits', 'a', 'v174', 'k1v', 'host', 'star', 'every', '391405d', 'spectroscopy', 'and', 'stellar', 'colors', 'indicate', 'a', 'host', 'star', 'with', 'effective', 'temperature', '5000', '150k', 'with', 'a', 'stellar', 'mass', 'and', 'radius', 'of', '087', '004m_sun', 'and', '082', '005r_sun', 'respectively', 'limbdarkened', 'transit', 'fitting', 'yields', 'a', 'companion', 'radius', 'of', '089', '007r_j', 'and', 'an', 'orbital', 'inclination', 'of', '883', '1308', 'deg', 'magellan', '65m', 'mike', 'radial', 'velocity', 'measurements', 'reveal', 'a', '24', 'sigma', 'k114', '25ms', 'sinusoidal', 'variation', 'in', 'phase', 'with', 'the', 'transit', 'ephemeris', 'the', 'resulting', 'mass', 'is', '081', '018m_j', 'and', 'density', '14', '04gcm3', 'yband', 'panic', 'image', 'deconvolution', 'reveal', 'a', 'v21', 'red', 'neighbor', '04', 'away', 'which', 'although', 'highly', 'unlikely', 'we', 'can', 'not', 'conclusively', 'rule', 'out', 'as', 'a', 'blended', 'binary', 'with', 'current', 'data', 'however', 'blend', 'simulations', 'show', 'that', 'only', 'the', 'most', 'unusual', 'binary', 'system', 'can', 'reproduce', 'our', 'observations', 'this', 'object', 'is', 'very', 'likely', 'a', 'planet', 'detected', 'from', 'a', 'highly', 'efficient', 'observational', 'strategy', 'lupustr3b', 'constitutes', 'the', 'faintest', 'groundbased', 'detection', 'to', 'date', 'and', 'one', 'of', 'the', 'lowest', 'mass', 'hot', 'jupiters', 'known']] | [-0.09961032085161053, 0.10667695227724089, -0.09077256730309488, 0.04318698180834036, -0.14716142832134674, -0.15383633053350138, 0.09907303172745069, 0.4016290148289476, -0.12158649761264745, -0.38309929300250345, 0.10635501496168123, -0.3286325460289083, -0.07025363788297541, 0.17686133471592141, -0.08359906242684823, -0.015720273588778654, 0.1710427601382976, -0.07408619447439005, -0.03635161282323742, -0.24274500118690676, 0.17980068287478404, 0.053448432547745506, 0.06839168829489445, -0.025479213377686938, 0.0597286090030028, -0.058921777769772476, -0.06377483504242937, -0.04137330750444893, -0.16843773801078396, -0.0020823892383604724, 0.2220589580994121, 0.10763329462918071, 0.181562393701856, -0.24093201813456935, -0.1946441970491039, 0.03553225589455832, 0.16673464655897693, 0.021786802962443903, -0.06466695286281073, -0.28383446418992486, 0.05346131434454179, -0.19366746823904993, -0.18503967230208218, 0.047585640737862256, 0.08760509825570002, -0.013194735089957586, -0.2746709285645794, 0.12589696767478184, 0.0031759783065732506, 0.1522109061560319, -0.1430611061591741, -0.17584131741721312, -0.11854175604056201, 0.022192714182051664, -0.04358411826882404, 0.13391521232030382, 0.15529446604875632, -0.08904438608627487, 0.0005941451446427775, 0.39643196074690434, -0.1327738867510067, 0.01975494850362312, 0.20484293303506265, -0.21753004010271476, -0.1684165257729073, 0.1871272660085307, 0.12747507619892243, 0.14592600079264081, -0.18073826259664244, -0.05708076302137097, -0.03274797198343807, 0.29964543431943463, 0.06062615320431015, 0.030029425237023653, 0.4349647782678377, 0.12309312428794586, 0.06043455754326, 0.052270130703839436, -0.34161216009279033, -0.014276923139369643, -0.14976736843435234, -0.07335504514536675, -0.1398600266655541, 0.0701636803334591, -0.14269383568966068, -0.10746521647533198, 0.34352430411496043, 0.1314841364200814, 0.22378137412028806, 0.06678743514358847, 0.3190637509623876, 0.05815553031740656, 0.09158928468863808, 0.11138760392295703, 0.3447913223086194, 0.1542097898644282, 0.09822630148241027, -0.2474909339145881, 0.05910738796060313, -0.01712725610429195] |
711.1747 | Explicit matrices for Hecke operators on Siegel modular forms | We present an explicit set of matrices giving the action of the Hecke
operators $T(p)$, $T_j(p^2)$ on Siegel modular forms.
| math.NT | we present an explicit set of matrices giving the action of the hecke operators tp t_jp2 on siegel modular forms | [['we', 'present', 'an', 'explicit', 'set', 'of', 'matrices', 'giving', 'the', 'action', 'of', 'the', 'hecke', 'operators', 'tp', 't_jp2', 'on', 'siegel', 'modular', 'forms']] | [-0.2728425915303983, 0.04275380585443743, -0.11323896055354883, 0.0057409641970145074, -0.11427476777891188, -0.04535584053710887, 0.04917858760362785, 0.265492744743824, -0.2675534278938645, -0.17772268604389146, 0.07692025229334831, -0.2853585702955331, -0.2098563296362715, 0.22218220671148678, -0.08435754321123425, 0.05332599541074351, 0.021044347827371798, 0.1597143892002733, -0.19216933885687276, -0.3366586073840919, 0.5344804899865075, 0.04585518474739633, 0.1424028740607594, 0.023549483402779226, 0.11088957451283932, 0.01168473035489258, 0.005389133566304257, -0.29315392280879776, -0.0910868663340807, 0.24571650494870387, 0.26592153595074225, 0.09193907077669312, 0.12185413194330115, -0.49472408231936005, 0.0015741656289288873, 0.1616349216722148, 0.11636456695238226, -0.010879749187121266, -0.02097810043242613, -0.31379579478188563, -0.057118240939943415, -0.2134565340177352, -0.13749705894703143, -0.20093398433374732, 0.054636034722390925, -0.09741215437258545, -0.33472033844966637, -0.022974861908311908, 0.08317650075217611, 0.2375555006591113, -0.14849030549981093, -0.19282949848198577, 0.014947438967953386, 0.09279125747515966, -0.0769118381370055, -0.03353402969476424, 0.09343098920132768, -0.07874750698867597, -0.07540596774044006, 0.2982317969987267, -0.04309208450936958, -0.22841530097158333, 0.09845746940884151, -0.1865532312934336, -0.14628693481024943, 0.04014882087511452, 0.141640369045107, 0.11459682930849101, -0.038716135546565056, 0.21886483587226585, -0.15605121042187275, 0.05579262197409805, 0.12757096469010176, -0.07388409315363358, 0.10912955875851606, 0.015750497579574585, 0.1066781408888729, 0.1930445649318005, 0.07237967158863812, -0.0250490662476391, -0.4142326751821919, -0.1884042987305867, -0.052972164397176946, 0.10160297586729652, -0.16944828531459757, -0.2509849670980322, 0.5108553641720822, 0.06851885487374507, 0.2411391321863783, 0.17223420812699355, 0.13262216232128834, 0.22135915185131844, 0.16739380634144732, 0.044091060708620046, 0.04652755138905425, 0.19487579666862362, -0.0567173167425943, -0.17448043347777506, -0.03838078584522009, 0.23933853052164378] |
711.1748 | Why Renormalizable NonCommutative Quantum Field Theories? | We complete our previous recent review on noncommutative field theory,
discussing in particular the constructive aproach to the Grosse-Wulkenhaar
theory. We also suggest that by gluing together many Grosse-Wulkenhaar theories
at high energy one can obtain an effective commutative field theory at lower
energy.
| math-ph math.MP | we complete our previous recent review on noncommutative field theory discussing in particular the constructive aproach to the grossewulkenhaar theory we also suggest that by gluing together many grossewulkenhaar theories at high energy one can obtain an effective commutative field theory at lower energy | [['we', 'complete', 'our', 'previous', 'recent', 'review', 'on', 'noncommutative', 'field', 'theory', 'discussing', 'in', 'particular', 'the', 'constructive', 'aproach', 'to', 'the', 'grossewulkenhaar', 'theory', 'we', 'also', 'suggest', 'that', 'by', 'gluing', 'together', 'many', 'grossewulkenhaar', 'theories', 'at', 'high', 'energy', 'one', 'can', 'obtain', 'an', 'effective', 'commutative', 'field', 'theory', 'at', 'lower', 'energy']] | [-0.09429580537305976, 0.11541249425069756, -0.10235451462424615, 0.12166960109871897, -0.09694108197634871, -0.1127149489369582, -0.022022172996499154, 0.3200877245769582, -0.2276611588895321, -0.29874391781843523, 0.04188510248257609, -0.24790955461900344, -0.1726170499089428, 0.19492509309202433, -0.13974571985785256, -0.05107490486592393, -0.005912861088290811, 0.08479802860793742, -0.0774624593587677, -0.2868828344666822, 0.3535950565181503, 0.10148779277435759, 0.2619110596133396, 0.11424793516793712, 0.05488038144540042, 0.07176328203852543, -0.02804615816355429, 0.0503697076135061, -0.21379507551666227, 0.14250409141161732, 0.2748566807078367, 0.06451425300276076, 0.21185286169533024, -0.4916617999022657, -0.26596010389568453, 0.02408340327780355, 0.13037475814450195, 0.1768349309197881, -0.07916252337004566, -0.2399731169835749, 0.06646810085062911, -0.1867684089070694, -0.163569194317626, -0.1368567239154469, 0.0007315840921364725, -0.05290334206074476, -0.20577173584818162, 0.0014489920431515202, 0.022696591278707438, 0.08746008640578525, -0.07068454102740031, -0.12178520009514283, 0.008867483136286452, 0.017056193520230325, 0.027776564778336746, 0.11391495589420876, 0.08812121862799606, -0.11850316703996876, -0.16848545229401102, 0.25348430215804413, -0.1175786502320658, -0.13708407880569046, 0.2096786934416741, -0.15175491898447613, -0.2477057356048714, 0.08830914288674566, 0.08795775718648326, 0.14802885709584437, -0.09184901814230463, 0.1990787760481577, -0.06551379323619502, 0.1011647944952446, 0.0567702047357505, 0.053163768141530454, 0.2305997500873425, 0.08432172047799792, 0.047852328871323895, 0.07067605637183244, 0.06470837261506611, -0.1509923379317942, -0.3922909455881877, -0.1047141005877744, -0.11197507873558524, 0.0901072339461693, -0.1368379750585353, -0.11373901632826099, 0.3839989512396807, 0.1922214297598905, 0.13851311775347727, 0.06665923521557654, 0.27663513154468755, 0.154207375040807, 0.025268966183913024, 0.02209389086188325, 0.27767418732400984, 0.1816286779569716, 0.08258377321445468, -0.1354854615955529, -0.15583121676834047, 0.16675797043452886] |
711.1749 | The relationship between the prestellar core mass function and the
stellar initial mass function | Stars form from dense molecular cores, and the mass function of these cores
(the CMF) is often found to be similar to the form of the stellar initial mass
function (IMF). This suggests that the form of the IMF is the result of the
form of the CMF. However, most stars are thought to form in binary and multiple
systems, therefore the relationship between the IMF and the CMF cannot be
trivial. We test two star formation scenarios - one in which all stars form as
binary or triple systems, and one in which low-mass stars form in a
predominantly single mode. We show that from a log-normal CMF, similar to those
observed, and expected on theoretical grounds, the model in which all stars
form as multiples gives a better fit to the IMF.
| astro-ph | stars form from dense molecular cores and the mass function of these cores the cmf is often found to be similar to the form of the stellar initial mass function imf this suggests that the form of the imf is the result of the form of the cmf however most stars are thought to form in binary and multiple systems therefore the relationship between the imf and the cmf cannot be trivial we test two star formation scenarios one in which all stars form as binary or triple systems and one in which lowmass stars form in a predominantly single mode we show that from a lognormal cmf similar to those observed and expected on theoretical grounds the model in which all stars form as multiples gives a better fit to the imf | [['stars', 'form', 'from', 'dense', 'molecular', 'cores', 'and', 'the', 'mass', 'function', 'of', 'these', 'cores', 'the', 'cmf', 'is', 'often', 'found', 'to', 'be', 'similar', 'to', 'the', 'form', 'of', 'the', 'stellar', 'initial', 'mass', 'function', 'imf', 'this', 'suggests', 'that', 'the', 'form', 'of', 'the', 'imf', 'is', 'the', 'result', 'of', 'the', 'form', 'of', 'the', 'cmf', 'however', 'most', 'stars', 'are', 'thought', 'to', 'form', 'in', 'binary', 'and', 'multiple', 'systems', 'therefore', 'the', 'relationship', 'between', 'the', 'imf', 'and', 'the', 'cmf', 'can', 'not', 'be', 'trivial', 'we', 'test', 'two', 'star', 'formation', 'scenarios', 'one', 'in', 'which', 'all', 'stars', 'form', 'as', 'binary', 'or', 'triple', 'systems', 'and', 'one', 'in', 'which', 'lowmass', 'stars', 'form', 'in', 'a', 'predominantly', 'single', 'mode', 'we', 'show', 'that', 'from', 'a', 'lognormal', 'cmf', 'similar', 'to', 'those', 'observed', 'and', 'expected', 'on', 'theoretical', 'grounds', 'the', 'model', 'in', 'which', 'all', 'stars', 'form', 'as', 'multiples', 'gives', 'a', 'better', 'fit', 'to', 'the', 'imf']] | [-0.08286647802329998, 0.11033210263990645, -0.12416853739032105, 0.12869057651181748, -0.08352864868443724, -0.05413400106229333, 0.05877850263435116, 0.35420066907779496, -0.18455808046499766, -0.3472683815591371, 0.018915808390402026, -0.21906435656458584, -0.11664919078579422, 0.18990938064864657, -0.01261237215723342, 0.0190562275212272, 0.08393263864094641, 0.024630050025463326, -0.058950150739957595, -0.2223880025818805, 0.38781296641829965, -0.0015176775059037243, 0.18109975208236434, -0.044002037130490834, -0.02344689795524994, -0.1375268753200992, 0.03451995284873436, -0.03422745843348441, -0.07951923247842456, 0.04111556278597286, 0.20540836437626173, 0.16828857278868334, 0.22253604397288898, -0.37195285426369357, -0.18193751027974397, 0.08014964724807486, 0.18808738332339076, 0.03343985523462101, -0.06722852434883062, -0.21443422295243494, 0.1052659140385465, -0.19647299576161512, -0.13020403822188947, 0.022379517716828234, -0.0022783202584832907, 0.05310133976840984, -0.3051189022249918, 0.11437047181960279, 0.0686107585623638, -0.012901565633408392, -0.11451333892052132, -0.13877370632114583, -0.06231210208775948, 0.10725378043386641, 0.044564554241048035, 0.10949396866429319, 0.1396819382607103, -0.1688422108426996, -0.014724347243474713, 0.450051314044577, -0.06578510319431827, -0.14399367024593834, 0.23505964993374118, -0.219104366210192, -0.18267585614821247, 0.07815728046750622, 0.16058707744605952, 0.12187495938182544, -0.18412410985650635, -0.05670484620599952, -0.050292063733813036, 0.20260435238883678, 0.05594776462721847, 0.020930797719994364, 0.3350152684264441, 0.09883340186293502, 0.0034983394486801838, 0.07983452750807767, -0.11238866814224523, -0.13893688080220748, -0.2235576403574886, -0.1391288692274117, -0.14141458075093072, 0.0707767661714122, -0.10125012324943551, -0.18058765620521422, 0.32356739757971753, 0.09221875619963367, 0.2828937133551756, 0.07416768825644238, 0.2861437030942805, 0.15027849404523566, 0.17270499530401248, 0.1074603017516879, 0.2729443261719573, 0.15455090707348687, 0.0504031640498329, -0.2059161739055512, 0.1090697806446688, 0.005425748766274817] |
711.175 | Self-Organized Criticality and earthquakes | We discuss recent results on a new analysis regarding models showing
Self-Organized Criticality (SOC), and in particular on the OFC one. We show
that Probability Density Functions (PDFs) for the avalanche size differences at
different times have fat tails with a q-Gaussian shape. This behavior does not
depend on the time interval adopted and it is also found when considering
energy differences between real earthquakes.
| physics.geo-ph cond-mat.stat-mech physics.comp-ph | we discuss recent results on a new analysis regarding models showing selforganized criticality soc and in particular on the ofc one we show that probability density functions pdfs for the avalanche size differences at different times have fat tails with a qgaussian shape this behavior does not depend on the time interval adopted and it is also found when considering energy differences between real earthquakes | [['we', 'discuss', 'recent', 'results', 'on', 'a', 'new', 'analysis', 'regarding', 'models', 'showing', 'selforganized', 'criticality', 'soc', 'and', 'in', 'particular', 'on', 'the', 'ofc', 'one', 'we', 'show', 'that', 'probability', 'density', 'functions', 'pdfs', 'for', 'the', 'avalanche', 'size', 'differences', 'at', 'different', 'times', 'have', 'fat', 'tails', 'with', 'a', 'qgaussian', 'shape', 'this', 'behavior', 'does', 'not', 'depend', 'on', 'the', 'time', 'interval', 'adopted', 'and', 'it', 'is', 'also', 'found', 'when', 'considering', 'energy', 'differences', 'between', 'real', 'earthquakes']] | [-0.07034808154791021, 0.11800658746550863, -0.1320530590816186, 0.12534123594657734, 0.017208824450006852, -0.09624357138975309, 0.031168035990916765, 0.413470610918907, -0.18570193125364873, -0.2591284048815186, 0.08357024065827807, -0.27857044276136617, -0.17900485895000973, 0.22730573176477964, -0.0664488353068009, 0.037862761734196775, 0.03557277341874746, 0.007663979195058346, -0.0759698736660469, -0.2297197744393578, 0.31207933739329186, 0.04720533421406379, 0.34056467296412357, 0.09279884414460797, 0.05054749910576412, -0.023069717401925188, -0.021828267021247974, 0.039026649210315484, -0.17838686633409592, 0.040767465094820814, 0.1703785160724902, 0.07937562844644372, 0.2457552684017663, -0.4160195706555477, -0.23139353020188327, 0.12568066575062964, 0.11284288089865675, 0.058102345215873076, -0.03385097650775256, -0.2679687459487468, 0.07003589367780548, -0.1660562797413709, -0.12150062710906451, -0.04470954495840348, 0.0895499368198216, 0.11475121682294859, -0.2624056674038561, 0.09966174106498679, 0.0685053067568403, 0.06738161663166606, -0.021444265272181767, -0.13108675320847676, -0.000368105462537362, 0.095805800382424, 0.07705992290821786, -0.03491980868320053, 0.14363399765525872, -0.10927167921327055, -0.10628932394946997, 0.30389351453990315, -0.015498701511667325, -0.20121362699339024, 0.2295375046821741, -0.21788875735723057, -0.18687904212050713, 0.07248236668618539, 0.18168952509474295, 0.027890738708755143, -0.05041628117032815, 0.07754351367565016, -0.03657550444432463, 0.2201323606646978, 0.07908335735018436, 0.030201898590446665, 0.19068773522113378, 0.15999625244249518, 0.04117959420948934, 0.08096462294387703, -0.0971639677344893, -0.1465565484518615, -0.3059560898404855, -0.08644031383670293, -0.2066314869488661, 0.024491547168313095, -0.11895082497996134, -0.17433609609993606, 0.435036699144313, 0.154111241019116, 0.23677705153822898, 0.09052905354362267, 0.21194287578646953, 0.14962665223731444, 0.05648481183900283, 0.11381721055278411, 0.20018818094753302, 0.019296098213929396, 0.11640448371808117, -0.18821062605398206, 0.1270622617797926, 0.0172269685444637] |
711.1751 | Paleontological Tests: Human-like Intelligence is not a Convergent
Feature of Evolution | We critically examine the evidence for the idea that encephalization
quotients increase with time. We find that human-like intelligence is not a
convergent feature of evolution. Implications for the search for
extraterrestrial intelligence are discussed.
| q-bio.PE | we critically examine the evidence for the idea that encephalization quotients increase with time we find that humanlike intelligence is not a convergent feature of evolution implications for the search for extraterrestrial intelligence are discussed | [['we', 'critically', 'examine', 'the', 'evidence', 'for', 'the', 'idea', 'that', 'encephalization', 'quotients', 'increase', 'with', 'time', 'we', 'find', 'that', 'humanlike', 'intelligence', 'is', 'not', 'a', 'convergent', 'feature', 'of', 'evolution', 'implications', 'for', 'the', 'search', 'for', 'extraterrestrial', 'intelligence', 'are', 'discussed']] | [-0.11744152959436178, 0.14885952877146857, -0.10941498757872198, 0.12553442670364998, -0.13061416782438756, -0.09275086672444428, 0.022828514317682545, 0.40435533885444913, -0.2297776919390474, -0.28446088773863654, 0.1082769847075854, -0.26305311346160515, -0.23758590982428618, 0.2140408420602658, -0.036231437671397415, -0.011037000508180687, 0.07586183891232524, 0.04324216746858188, 0.007541307288088969, -0.2518563596797841, 0.303714677239103, 0.07676920095192534, 0.2944747356431825, 0.08285302498510906, 0.0685855879049216, -0.05675089463724622, -0.07384765078978879, -0.0311376992346985, -0.113318485941688, 0.10125566478818655, 0.3028806585020253, 0.24113961663097144, 0.3036753984434264, -0.41194759676499026, -0.1929516687989235, 0.17136852205065745, 0.17282041884692653, 0.08612277561000416, -0.15790310874913951, -0.25697779402668985, 0.12022063402192933, -0.1331960842013359, -0.1721593820489943, -0.11447571199387312, 0.12061552969472748, 0.019567431243402617, -0.2130632043550057, -0.011678940909249442, 0.0887801422870585, 0.1160465805126088, -0.13095802442569818, -0.12298777582389968, 0.04197591742766755, 0.08793483593368105, 0.06871671747815396, -0.022884000611624548, 0.1321037451337491, -0.13252493294754197, -0.1959481541067362, 0.3939356040741716, -0.06436340393764632, -0.16700992215690869, 0.18156894304390464, -0.09605013251836811, -0.21772377667948603, 0.08514472341963224, 0.15778285938182046, 0.10161208588896053, -0.0955141002977533, 0.03583498349014137, -0.009032744621591909, 0.17532766200602054, 0.0027696595793323857, 0.028189803207559243, 0.24694433340004512, 0.2189583077228495, 0.06528736289058412, 0.0640105039147394, -0.07390870739306722, -0.12068672792187758, -0.26674324784960063, -0.2140182131103107, -0.13666293449433786, 0.019886476926123057, -0.058325668198189566, -0.11282434037753514, 0.330585271439382, 0.2475945709406265, 0.13745977798742906, 0.11090832334011794, 0.22645237121198858, 0.10864248193268265, 0.03827477933040687, 0.09277504373873983, 0.2856045809042241, -0.010633649091635432, 0.09637934491038322, -0.2446063398782696, 0.11093417885546972, 0.05038327935950032] |
711.1752 | Panel discussion I: Star formation in galaxies: how do we continue? | This is the written account of the first of two panel discussions, on "Star
formation in galaxies: how do we continue?" The chair of the panel was Phil
James, and panel members were John Beckman, Torsten Boeker, Daniela Calzetti,
Angeles Diaz, and Rob Kennicutt. The panel and audience discussed the four
following questions: 1) What are the most critically needed techniques to give
accurate measurements of total rates and efficiencies of star formation? 2) Do
we understand the form of the initial mass function and its variation as a
function of redshift and environment? 3) Are there multiple modes of star
formation in galaxies (bulge vs. disk, burst vs. continuous) or does the
Schmidt law explain everything? 4) How do we bring together our understanding
of star formation in our Galaxy and in external systems?
| astro-ph | this is the written account of the first of two panel discussions on star formation in galaxies how do we continue the chair of the panel was phil james and panel members were john beckman torsten boeker daniela calzetti angeles diaz and rob kennicutt the panel and audience discussed the four following questions 1 what are the most critically needed techniques to give accurate measurements of total rates and efficiencies of star formation 2 do we understand the form of the initial mass function and its variation as a function of redshift and environment 3 are there multiple modes of star formation in galaxies bulge vs disk burst vs continuous or does the schmidt law explain everything 4 how do we bring together our understanding of star formation in our galaxy and in external systems | [['this', 'is', 'the', 'written', 'account', 'of', 'the', 'first', 'of', 'two', 'panel', 'discussions', 'on', 'star', 'formation', 'in', 'galaxies', 'how', 'do', 'we', 'continue', 'the', 'chair', 'of', 'the', 'panel', 'was', 'phil', 'james', 'and', 'panel', 'members', 'were', 'john', 'beckman', 'torsten', 'boeker', 'daniela', 'calzetti', 'angeles', 'diaz', 'and', 'rob', 'kennicutt', 'the', 'panel', 'and', 'audience', 'discussed', 'the', 'four', 'following', 'questions', '1', 'what', 'are', 'the', 'most', 'critically', 'needed', 'techniques', 'to', 'give', 'accurate', 'measurements', 'of', 'total', 'rates', 'and', 'efficiencies', 'of', 'star', 'formation', '2', 'do', 'we', 'understand', 'the', 'form', 'of', 'the', 'initial', 'mass', 'function', 'and', 'its', 'variation', 'as', 'a', 'function', 'of', 'redshift', 'and', 'environment', '3', 'are', 'there', 'multiple', 'modes', 'of', 'star', 'formation', 'in', 'galaxies', 'bulge', 'vs', 'disk', 'burst', 'vs', 'continuous', 'or', 'does', 'the', 'schmidt', 'law', 'explain', 'everything', '4', 'how', 'do', 'we', 'bring', 'together', 'our', 'understanding', 'of', 'star', 'formation', 'in', 'our', 'galaxy', 'and', 'in', 'external', 'systems']] | [-0.07008784497851756, 0.09319648946593724, -0.08799729939313855, 0.11378689787138614, -0.106582718150718, -0.08725541079444672, 0.03932803036921324, 0.39116478085069595, -0.13526160135576779, -0.34908072042987864, 0.08871340445666782, -0.2929525820281245, -0.09599002610037187, 0.16650714939581787, -0.11079028457986997, -0.019968818667702684, 0.012643573967281229, -0.04758286847969267, -0.020012076112590278, -0.34031156710446325, 0.3149779575995044, 0.06546993751023243, 0.20946851276893363, 0.010542672194380646, 0.046485716085872306, -0.015145565299734251, -0.1142261156346649, -0.03746245046313018, -0.20008215035742788, 0.06014069283742513, 0.23037846931325856, 0.20536579989911571, 0.2821694820730099, -0.4039715341806634, -0.15675015913308668, 0.04174385147530641, 0.1336182216425607, 0.03322016677485584, -0.03871009771194337, -0.22205247143074983, 0.028069833186698326, -0.19884291950460356, -0.12591059798541576, 0.054480607002806755, 0.05161209460764901, 0.06973014811554284, -0.21340674158826872, 0.10787841171693446, 0.07846251195435648, 0.08228563007624097, -0.10839507797404553, -0.10354603770355791, -0.050659601802506775, 0.15798001005766052, -0.01281009988907947, 0.07059945163330925, 0.16641620506789648, -0.13527413504719457, -0.07415959835330498, 0.3877099541071524, -0.027927563577862597, -0.06401600160483104, 0.21173763770954127, -0.23494712250835414, -0.148197815277433, 0.02860840479370924, 0.1627714741686637, 0.07159351729971414, -0.14083725117484053, 0.008491565824795598, 0.0009859978888573041, 0.19031323835170313, 0.07955783841186273, -0.009606892286357643, 0.24707163129794174, 0.10355673821246836, -0.004813511269479823, 0.06496515289755232, -0.09971201180505615, -0.059340181385180844, -0.25991907087198124, -0.1556312556094238, -0.09683047346301626, 0.07061115643287551, -0.06401786219023269, -0.10706376496341023, 0.3634715982549476, 0.08866835744189683, 0.19191281360560167, 0.04000142616990419, 0.22679235236093737, 0.038244917696870086, 0.060615969234521484, 0.08153871481946266, 0.2627686949406834, 0.1406258451921775, 0.13579354718077316, -0.22017857570239385, 0.08886166759975143, 0.009628716124735995] |
711.1753 | On small fractional parts of polynomials | We prove that for any real polynomial $f(x) \in\mathbb{R} [x]$ the set $$
\{\alpha \in \mathbb{R}: \liminf_{n\to \infty} n\log n ||\alpha f(n)|| >0\} $$
has positive Hausdorff dimension. Here $||\xi ||$ means the distance from $\xi
$ to the nearest integer. Our result is based on an original method due to Y.
Peres and W. Schlag.
| math.NT | we prove that for any real polynomial fx inmathbbr x the set alpha in mathbbr liminf_nto infty nlog n alpha fn 0 has positive hausdorff dimension here xi means the distance from xi to the nearest integer our result is based on an original method due to y peres and w schlag | [['we', 'prove', 'that', 'for', 'any', 'real', 'polynomial', 'fx', 'inmathbbr', 'x', 'the', 'set', 'alpha', 'in', 'mathbbr', 'liminf_nto', 'infty', 'nlog', 'n', 'alpha', 'fn', '0', 'has', 'positive', 'hausdorff', 'dimension', 'here', 'xi', 'means', 'the', 'distance', 'from', 'xi', 'to', 'the', 'nearest', 'integer', 'our', 'result', 'is', 'based', 'on', 'an', 'original', 'method', 'due', 'to', 'y', 'peres', 'and', 'w', 'schlag']] | [-0.14511544413051944, 0.10347514695632316, -0.03325058763416914, 0.04264914494482442, -0.017272127425083175, -0.2428713786559036, 0.06264158766358517, 0.35935243509279996, -0.32855190068053514, -0.16673823785430825, 0.0006108853603319193, -0.3625678582690083, -0.11547434398492512, 0.17413592524826527, -0.04256624283376508, 0.056956927506969526, -0.03894100820000928, 0.10120502513690063, -0.03675836650206922, -0.34227130002377987, 0.30791293845126905, -0.09124566976410839, 0.14001067989738658, 0.03877517263978147, 0.1055738875337948, 0.015222204481967939, 0.022100802084493738, -0.05184168853940299, -0.2306695559221295, 0.017752713702905636, 0.19058738885304102, 0.10291644600399125, 0.3060385702321163, -0.27258347146786177, -0.11006567020040865, 0.22202743264810684, 0.1536329669985347, -0.08243419899820136, 0.043755943316052884, -0.3116363099991129, 0.1631964560633955, -0.059294418431818485, -0.18013317266013473, -0.043370550751345806, 0.2153105427009555, 0.009991422770186685, -0.3828754768026276, 0.006982183155532067, 0.12131849721145745, 0.02928211409240388, 0.026793211662712004, -0.22725594196862614, -0.015198220310804363, 0.05343786577577703, 0.016358779089596983, 0.22106963043020536, 0.021937927858044323, 0.04458665379430526, -0.0870203114553498, 0.2819161896432678, -0.10043543059593783, -0.24792404838192922, 0.11353194217931908, -0.21732694951172632, -0.16373716387002227, 0.11020386738416094, 0.0702845323472642, 0.1765061038134333, 0.0022507195110217882, 0.32826987597442125, -0.1086229552479031, 0.23082486236503777, 0.11770248900239284, -0.018402558670809064, 0.005879646202979179, 0.0661899296649678, 0.12453870878716071, 0.06554040464106947, -0.05142756448969102, 0.049474635398767605, -0.3220531048539739, -0.18363225138567102, -0.26967762110647386, 0.23577665034323358, -0.19320335297127783, -0.12298918839615698, 0.21754326864790458, 0.10836565704084933, 0.21953165294745794, 0.15321171204917705, 0.18929635514863408, 0.10367852796004556, -0.07356871196735973, 0.09060934362395738, 0.04224061384761276, 0.1350347593319244, 0.03918937025949932, -0.16661140465517887, 0.07656843883271974, 0.2215075319310507] |
711.1754 | Panel discussion II: Reconciling observations and modeling of star
formation at high redshifts | This is the written account of the second of two panel discussions, on
"Reconciling observations and modeling of star formation at high redshifts".
The chair of the panel was Pavel Kroupa, and panel members were Marc Balcells,
John Beckman, Christopher Conselice, and Joseph Silk. After a short
introduction by each of the panelists, panel and audience entered into a lively
discussion, centered around the following six themes: the mass function of
pre-stellar gas clouds; a possible top-heavy initial mass function at high
redshifts versus mini-quasars as the first sources of ionization; the
integrated galactic initial mass function; possible differences in specific
star formation rates in disks and in massive galaxies; whether merging rates
yield a wrong prediction for massive galaxies, and what is the physics behind
the onset of the red sequence of galaxies; and the case of dark
matter-dominated dwarf galaxies versus tidal dwarf galaxies.
| astro-ph | this is the written account of the second of two panel discussions on reconciling observations and modeling of star formation at high redshifts the chair of the panel was pavel kroupa and panel members were marc balcells john beckman christopher conselice and joseph silk after a short introduction by each of the panelists panel and audience entered into a lively discussion centered around the following six themes the mass function of prestellar gas clouds a possible topheavy initial mass function at high redshifts versus miniquasars as the first sources of ionization the integrated galactic initial mass function possible differences in specific star formation rates in disks and in massive galaxies whether merging rates yield a wrong prediction for massive galaxies and what is the physics behind the onset of the red sequence of galaxies and the case of dark matterdominated dwarf galaxies versus tidal dwarf galaxies | [['this', 'is', 'the', 'written', 'account', 'of', 'the', 'second', 'of', 'two', 'panel', 'discussions', 'on', 'reconciling', 'observations', 'and', 'modeling', 'of', 'star', 'formation', 'at', 'high', 'redshifts', 'the', 'chair', 'of', 'the', 'panel', 'was', 'pavel', 'kroupa', 'and', 'panel', 'members', 'were', 'marc', 'balcells', 'john', 'beckman', 'christopher', 'conselice', 'and', 'joseph', 'silk', 'after', 'a', 'short', 'introduction', 'by', 'each', 'of', 'the', 'panelists', 'panel', 'and', 'audience', 'entered', 'into', 'a', 'lively', 'discussion', 'centered', 'around', 'the', 'following', 'six', 'themes', 'the', 'mass', 'function', 'of', 'prestellar', 'gas', 'clouds', 'a', 'possible', 'topheavy', 'initial', 'mass', 'function', 'at', 'high', 'redshifts', 'versus', 'miniquasars', 'as', 'the', 'first', 'sources', 'of', 'ionization', 'the', 'integrated', 'galactic', 'initial', 'mass', 'function', 'possible', 'differences', 'in', 'specific', 'star', 'formation', 'rates', 'in', 'disks', 'and', 'in', 'massive', 'galaxies', 'whether', 'merging', 'rates', 'yield', 'a', 'wrong', 'prediction', 'for', 'massive', 'galaxies', 'and', 'what', 'is', 'the', 'physics', 'behind', 'the', 'onset', 'of', 'the', 'red', 'sequence', 'of', 'galaxies', 'and', 'the', 'case', 'of', 'dark', 'matterdominated', 'dwarf', 'galaxies', 'versus', 'tidal', 'dwarf', 'galaxies']] | [-0.05564805161697661, 0.11585422954682646, -0.08652971954213391, 0.13593359250205986, -0.11140467309360874, -0.06913701602225673, 0.04414902024757888, 0.3602796554758117, -0.10506880502858809, -0.3399787786063449, 0.05622601348280521, -0.2942679531743814, -0.028584136075243866, 0.15648233437075698, -0.05511023110613741, -0.03657452070619911, 0.04944485183805227, -0.0708072673722074, -0.03542125002593444, -0.34825499125210374, 0.33760504610836506, 0.11252780237138785, 0.1721369714187137, -0.03510912031192204, 0.09169945730265744, -0.06443495525304099, -0.101150373957152, -0.08526533468273179, -0.18894894549558902, -0.01243859087598735, 0.23876597939444513, 0.1716374665017015, 0.3270490681832849, -0.3493853558368724, -0.1654439156682327, 0.02852290381902251, 0.1519684524692852, 0.033393641975547735, -0.10281208256632893, -0.2869675859311146, 0.03309575564244056, -0.2058004728325739, -0.1434862613645864, 0.12837057941480828, 0.0685777205716947, 0.03868275319772034, -0.208641953943779, 0.16371944909594183, 0.034580091361341804, 0.08457444567104866, -0.11642544615054343, -0.12637134525475316, -0.06513036662263089, 0.09814035586434705, 0.03384981004055589, 0.07659591820396097, 0.1971249309609291, -0.16523385962535594, -0.026930159609764814, 0.40831888102251906, -0.04474006756208837, 0.017639293486316657, 0.20725955462709456, -0.20490793799138468, -0.1755600479030018, 0.07828093455012503, 0.1683665341622365, 0.07727775554863157, -0.1681490309600686, -0.009383308055312855, 0.002440707589467538, 0.15593285006952698, 0.11736480295658111, -0.015147672898682027, 0.3724406093005733, 0.1449349649635882, -0.024714364216598714, 0.054827080988164606, -0.12580901484872248, -0.06163551244194266, -0.24858520478331322, -0.1333000839976915, -0.11414689701853384, 0.06604540818370878, -0.10720521243026175, -0.11798068228426614, 0.3678840846465579, 0.0456580934493104, 0.20379064600143967, 0.042709470985071926, 0.2697915497364412, 0.03982397233023597, 0.06851696876672514, 0.08530053790048535, 0.23906568888382151, 0.1570628358067238, 0.1120922069354304, -0.20404549340801795, 0.09164156830901729, 0.015350188347029274] |
711.1755 | Meet the COG's | Kinematics combined with detailed element abundances provide the method of
analysis of stellar populations using as much available information as
possible, in contrast to other methods. Here we employ this technique on local
HBA stars in an ongoing programme to search for omega Centauri debris among
these objects, which led us to discover another group of stars with very
similar kinematics and abundances, the Cometary Orbit Group (COG). We also
comment on the future of this kind of undertaking in the Gaia era.
| astro-ph | kinematics combined with detailed element abundances provide the method of analysis of stellar populations using as much available information as possible in contrast to other methods here we employ this technique on local hba stars in an ongoing programme to search for omega centauri debris among these objects which led us to discover another group of stars with very similar kinematics and abundances the cometary orbit group cog we also comment on the future of this kind of undertaking in the gaia era | [['kinematics', 'combined', 'with', 'detailed', 'element', 'abundances', 'provide', 'the', 'method', 'of', 'analysis', 'of', 'stellar', 'populations', 'using', 'as', 'much', 'available', 'information', 'as', 'possible', 'in', 'contrast', 'to', 'other', 'methods', 'here', 'we', 'employ', 'this', 'technique', 'on', 'local', 'hba', 'stars', 'in', 'an', 'ongoing', 'programme', 'to', 'search', 'for', 'omega', 'centauri', 'debris', 'among', 'these', 'objects', 'which', 'led', 'us', 'to', 'discover', 'another', 'group', 'of', 'stars', 'with', 'very', 'similar', 'kinematics', 'and', 'abundances', 'the', 'cometary', 'orbit', 'group', 'cog', 'we', 'also', 'comment', 'on', 'the', 'future', 'of', 'this', 'kind', 'of', 'undertaking', 'in', 'the', 'gaia', 'era']] | [-0.027108987451093382, 0.044653653544661345, -0.14293500464072967, 0.0571261743526816, -0.15423644982076373, -0.044290676645665286, 0.08889005729277809, 0.41369988347392483, -0.19677216501300593, -0.3577002118655806, 0.06031750055192689, -0.26969280233045656, -0.07796803435187293, 0.22507051877391313, -0.08185620379847396, -0.004084439993084195, 0.12893380233400828, 0.004280250584384067, -0.020928123831911664, -0.2636185184076249, 0.3253674042601901, 0.08249510281876359, 0.12000835127567491, -0.06344359274953604, 0.025824263848992716, -0.07800162259309766, -0.12984299718637962, -0.011360174269381776, -0.17579466249781145, 0.1334611494430756, 0.27094055553168866, 0.17225339829764633, 0.22069117726466383, -0.4035218632611704, -0.17965848655271602, 0.0688291013981384, 0.18583242058843732, 0.08044227962546943, -0.10825288827048547, -0.31585667794009287, 0.04579835861475286, -0.18683517976181516, -0.20627000012311592, -0.04935864225613425, 0.05333857325814575, -0.0021092975932925223, -0.20539775643363056, 0.03324028587562077, -0.004240507282406451, 0.1294092159179679, -0.08507208596264203, -0.14611093954643212, -0.00034616757969719816, 0.14816997828612843, 0.033470355064035895, 0.03892173450748739, 0.11466061216722949, -0.08377101851896529, -0.0667858184371368, 0.42608049363795536, -0.09923723773716624, -0.08607164049326128, 0.26146993411323394, -0.21278221289212085, -0.2522455227886697, 0.052882902795471344, 0.1968696637483067, 0.17015646402555776, -0.17410772813326983, 0.01253803350881348, -0.029390120643179817, 0.18221979154868567, 0.028041159924882722, 0.07812608814944165, 0.24241305966244406, 0.16744568829525666, 0.08882114461466041, 0.05923692367659567, -0.18509966290432467, -0.0399816883510506, -0.24018905320799494, -0.1587728967957468, -0.08954178881887571, 0.025774769351750344, -0.07351467922222604, -0.12717521341001414, 0.3313616279131138, 0.19063670789620962, 0.17743536252640638, -0.011726456457266516, 0.3004082568797721, 0.007835738439427083, 0.10636544990611363, 0.057735171707638776, 0.258150326536901, 0.14107247259108777, 0.10502376135842628, -0.25376166533454353, 0.06560371725831225, 0.03341306594525834] |
711.1756 | Quantum phase estimation algorithm in presence of static imperfections | We study numerically the effects of static imperfections and residual
couplings between qubits for the quantum phase estimation algorithm with two
qubits. We show that the success probability of the algorithm is affected
significantly more by static imperfections than by random noise errors in
quantum gates. An improvement of the algorithm accuracy can be reached by
application of the Pauli-random-error-correction method (PAREC).
| quant-ph cond-mat.supr-con | we study numerically the effects of static imperfections and residual couplings between qubits for the quantum phase estimation algorithm with two qubits we show that the success probability of the algorithm is affected significantly more by static imperfections than by random noise errors in quantum gates an improvement of the algorithm accuracy can be reached by application of the paulirandomerrorcorrection method parec | [['we', 'study', 'numerically', 'the', 'effects', 'of', 'static', 'imperfections', 'and', 'residual', 'couplings', 'between', 'qubits', 'for', 'the', 'quantum', 'phase', 'estimation', 'algorithm', 'with', 'two', 'qubits', 'we', 'show', 'that', 'the', 'success', 'probability', 'of', 'the', 'algorithm', 'is', 'affected', 'significantly', 'more', 'by', 'static', 'imperfections', 'than', 'by', 'random', 'noise', 'errors', 'in', 'quantum', 'gates', 'an', 'improvement', 'of', 'the', 'algorithm', 'accuracy', 'can', 'be', 'reached', 'by', 'application', 'of', 'the', 'paulirandomerrorcorrection', 'method', 'parec']] | [-0.12789736499350207, 0.15309405639830706, -0.03814064116838078, 0.03648267451984187, 0.07032880471087992, -0.1784970613817374, 0.09319169172861924, 0.42860127488772076, -0.19526875199129184, -0.34375643883831797, 0.06283576980349607, -0.2401012302065889, -0.1924521778244525, 0.24539684212456148, -0.09418966309167445, 0.11205132866743953, 0.0925853251790007, -0.008067612249093751, -0.11713392138093089, -0.3476116087598105, 0.2750868542275081, 0.05900375443743542, 0.30365671453376614, 0.02364887992540995, 0.08288765829056502, 0.0019152456428855658, 0.024218286201357842, 0.05822911937721074, -0.05642721063595672, 0.07269108455317716, 0.1874551266587029, 0.09164677914232015, 0.2623659782266865, -0.42485832003876567, -0.1982579766307026, 0.11497844915526609, 0.12623900226317347, 0.21614540573209523, -0.01525882880402302, -0.3708449193897347, 0.09949300264124758, -0.17049345600729188, -0.06768359746783972, -0.10857819591959318, -0.024172241675357024, -0.011584471449411163, -0.2744668396189809, 0.08500768908609947, 0.08467911929668238, 0.038926061646391945, 0.03690382082325717, -0.08676741343612472, 0.06638441951945424, 0.12216704489352802, -0.009177751641254872, 0.005488015443552286, 0.1786493411132445, -0.13570185142258803, -0.1895768028839181, 0.34292867689703904, -0.06032545285343076, -0.24113127888025096, 0.07801797517264883, -0.06972473212129747, -0.06625335407443345, 0.13660736808087676, 0.17039486498882372, 0.08636583757276337, -0.1219309031109636, 0.06970514258428011, 0.08457903498783707, 0.2118528121461471, 0.025976242078468204, 0.0875328826950863, 0.13286259879435722, 0.15531066016604503, 0.11971072781210144, 0.18428473793707478, -0.11187168227819105, -0.1087070302416881, -0.25873029679059983, -0.12265317100100219, -0.2369881546124816, 0.025114214528972903, -0.14798062709912, -0.11707131926280757, 0.39014059274146956, 0.22917547596540924, 0.14961647127444547, 0.03304674370835225, 0.37121126645555097, 0.11660527198885878, 0.02355157108977437, 0.09861655697847406, 0.2545648212855061, 0.1311250787655202, -0.006745313139011462, -0.2952255284491306, 0.11502253863339623, 0.018932003950855383] |
711.1757 | Nucleon form factors induced by isovector and isoscalar axial-vector
currents in QCD | Using the most general form of the baryon current, nucleon form factors,
induced by isovector and isoscalar axial-vector currents, are studied in the
framework of light cone QCD sum rule approach. Comparison of our results on
form factors with the existing results and lattice calculations are presented.
| hep-ph | using the most general form of the baryon current nucleon form factors induced by isovector and isoscalar axialvector currents are studied in the framework of light cone qcd sum rule approach comparison of our results on form factors with the existing results and lattice calculations are presented | [['using', 'the', 'most', 'general', 'form', 'of', 'the', 'baryon', 'current', 'nucleon', 'form', 'factors', 'induced', 'by', 'isovector', 'and', 'isoscalar', 'axialvector', 'currents', 'are', 'studied', 'in', 'the', 'framework', 'of', 'light', 'cone', 'qcd', 'sum', 'rule', 'approach', 'comparison', 'of', 'our', 'results', 'on', 'form', 'factors', 'with', 'the', 'existing', 'results', 'and', 'lattice', 'calculations', 'are', 'presented']] | [-0.0937040136393873, 0.1566664662727333, -0.04063304120357683, 0.056874283440807395, -0.08327728190875434, -0.03224594712732954, 0.08148531087159001, 0.3723957930156525, -0.11632144517770553, -0.21289477521117697, -0.012836973234872394, -0.3090644280644173, -0.15279661107094997, 0.14305169604461085, 0.1354588615767499, 0.04160095730727102, 0.06502449016601956, 0.036902087958569224, -0.06497768249283446, -0.21983393224233644, 0.3907722749529367, -0.04873551370853439, 0.27535115840270163, 0.18039248618198203, -0.0012721681987193036, 0.002961581242221229, -0.08225946602946584, 0.0016887869408473055, -0.10898737788715578, 0.17448055795691114, 0.20232631909621365, 0.08341977011134967, 0.1206577142224984, -0.4332941697434859, -0.13960255809286806, 0.05101131560637596, 0.09868746923599789, 0.11777100973623864, -0.016789845262773016, -0.30393177445264574, 0.09889845669200208, -0.20261414987134171, -0.14074502765458632, -0.21634234680219533, -0.08920561210648652, 0.06196146616910366, -0.32560459443150047, 0.11386436510935148, -0.006685628258484475, 0.016399859533579576, -0.08150792113961057, -0.3412656330954323, 0.025642328979843792, 0.04057229910679954, 0.12882718968977955, 0.10498984238291358, 0.1745050414366291, -0.196389994455224, -0.15194182680483828, 0.43404557623286194, -0.06416524566234426, -0.20925292539152693, 0.03835843307302987, -0.15375709451457603, -0.07924496469662544, 0.09098866007270966, 0.15683865150872697, 0.10050812339846124, -0.19900750333165868, 0.06417234638022219, -0.07060517772952928, 0.07668993899479826, 0.07083227509196768, 0.07648005936557348, 0.17814658992388782, 0.17543754064814843, -0.0683714777151955, 0.02257985860466006, -0.03717377723908012, -0.1259441865964773, -0.38197480855470006, -0.045200238519526544, -0.144662178696153, 0.05545371705468031, -0.0861651802112279, -0.07003040469073235, 0.3937650761676041, 0.028774689793824516, 0.19298216797649226, 0.008186640931253738, 0.3474365107398084, 0.12317034516216038, 0.12145046569763664, 0.09858698265111827, 0.2781093689523875, 0.2440652813653442, 0.039386224031369106, -0.27883792704248683, -0.010399239464722414, 0.10991405661990668] |
711.1758 | Chiral Brownian heat pump | We present the exact analysis of a chiral Brownian motor and heat pump.
Optimization of the construction predicts, for a nanoscale device, frequencies
of the order of kHz and cooling rates of the order of femtojoule per second.
| cond-mat.stat-mech | we present the exact analysis of a chiral brownian motor and heat pump optimization of the construction predicts for a nanoscale device frequencies of the order of khz and cooling rates of the order of femtojoule per second | [['we', 'present', 'the', 'exact', 'analysis', 'of', 'a', 'chiral', 'brownian', 'motor', 'and', 'heat', 'pump', 'optimization', 'of', 'the', 'construction', 'predicts', 'for', 'a', 'nanoscale', 'device', 'frequencies', 'of', 'the', 'order', 'of', 'khz', 'and', 'cooling', 'rates', 'of', 'the', 'order', 'of', 'femtojoule', 'per', 'second']] | [-0.18375466881613983, 0.1531494136556591, -0.02299125374319326, -0.03542709522145359, -0.044701280954637025, -0.1081645634564522, 0.12192417121810936, 0.3453728512272631, -0.20094106152751728, -0.31575131048693467, 0.09062987711819771, -0.23717802446825723, -0.09547458569470205, 0.24732660580622523, -0.0019020616248446075, 0.0806183498352766, -0.012466697089717184, 0.06684665764240842, -0.023752212867532905, -0.13463752545220287, 0.19190642384714202, 0.06448620721226019, 0.25613600204355624, 0.05513990501334008, 0.19111922765640835, -0.0524803165493435, 0.014845197174796149, -0.08056406566481057, -0.17458398814166062, 0.17338081304670164, 0.23173162255338148, -0.011143641350300689, 0.26561831682920456, -0.43217470349841997, -0.20164384562323043, 0.06270203375625945, 0.0877918639759484, 0.15545961236287104, -0.037479415143790995, -0.19911821074416175, 0.06623189602243273, -0.1633588255530125, -0.10174631610463716, -0.07479382185020338, -0.021426366544083544, 0.09846835259936358, -0.2879399123944734, 0.15019356831908226, 0.11836167569517304, 0.05945666097594719, -0.08573323300745535, -0.0667065647430718, -0.005265061853845653, 0.12477842524745747, 0.02183451084420085, -0.007591481528882133, 0.2164374359172622, -0.14238930476437273, -0.15693869505469737, 0.3887929525716524, -0.060673380987473616, -0.0843778170498186, 0.1325966939820271, -0.20648112775463806, -0.05799242033083972, 0.15345988226564308, 0.18736154390008827, 0.14275431740832956, -0.12718311275698638, -0.009476952882802212, 0.053111910820007324, 0.2397863687181502, 0.12080408328850019, 0.029879823418971347, 0.18018501750070995, 0.23561438712242402, 0.07371413680773817, 0.2030730065154402, -0.1506637896925799, -0.06802693989716078, -0.3493493776768446, -0.19189072524482312, -0.18378688118077421, 0.05984361453508762, -0.11357776319384452, -0.11111725236926424, 0.4589274388394858, 0.16170866289298588, 0.14881109377663387, 0.06802635495305846, 0.31965340075916365, 0.17383419690457613, 0.04327334640057463, 0.022732410383851903, 0.2030736271684107, 0.18730715877915682, 0.14083529317653493, -0.32117555727400987, -0.01817922118904167, 0.06392266329279855] |
711.1759 | The Number of Different Effective Partitions and a Specific Goldbach
Partition of Any Given Even Number Greater Than 6 | A specific Goldbach partition of any given even number greater than 6 can be
found definitely.
| math.GM | a specific goldbach partition of any given even number greater than 6 can be found definitely | [['a', 'specific', 'goldbach', 'partition', 'of', 'any', 'given', 'even', 'number', 'greater', 'than', '6', 'can', 'be', 'found', 'definitely']] | [-0.18669249629601836, 0.18960005168628413, -0.058710969518870115, 0.17042935942299664, -0.07682045787805691, -0.24774504886590876, 0.0585172412393149, 0.246192668331787, -0.15078735921997577, -0.44770621159113944, 0.09483721922151744, -0.25962037686258554, -0.08820588956587017, 0.22296916623599827, -0.052758764766622335, -0.03141986858099699, 0.09260877093765885, 0.154523714678362, -0.062438874403596856, -0.37989601655863225, 0.25499935558764264, -0.02160454576369375, 0.15232012749766, 0.0511155248968862, -0.04603201162535697, -0.00823645805940032, 0.04525307647418231, 0.1561993820942007, -0.041060939140152186, 0.05549405107740313, 0.2649471312761307, 0.14010471035726368, 0.29517609695903957, -0.38126482092775404, -0.19207609398290515, 0.2908409715455491, 0.2500221347436309, 0.08873594098258764, 0.032789127668365836, -0.13897417718544602, 0.212592039082665, -0.17130515933968127, -0.14401703304611146, -0.022692671889672056, 0.03352054908464197, -0.018646097858436406, -0.26305298338411376, -0.011273247771896422, 0.04902847792254761, 0.07738570589572191, -0.038600384374149144, -0.25173544441349804, -0.05632646975573152, 0.07473500062042149, -0.043016408308176324, 0.14014289021724835, 0.06710309721529484, -0.1359462469990831, -0.11702386976685375, 0.40872233314439654, 0.07770910889212246, -0.2631968422792852, 0.1706433719373308, -0.2618546886369586, -0.11864032869925722, 0.20800124062225223, 0.029996958503033966, 0.13330587244126946, -0.08535165921784937, -0.053559201303869486, -0.11896371305920184, 0.32841074792668223, 0.22585819865344092, -0.038065225700847805, 0.23601067892741412, 0.06387901533162221, 0.059817959408974275, 0.1514049715406145, -0.0035396881867200136, 0.047339384036604315, -0.24260171764763072, -0.20545620867051184, -0.2626771070645191, 0.18286257598083466, -0.21037863951642066, -0.12668352632317692, 0.3294311273493804, 0.11647675269432511, 0.17481619655154645, 0.10191096435301006, 0.1673816436668858, 0.16640788142103702, 0.11914996348787099, 0.07842754246667027, 0.1420819761697203, -0.0065834493143484, -0.07442815136164427, -0.10156740725506097, 0.13209379740874283, 0.02066588564775884] |
711.176 | Impurity effects on the band structure of one-dimensional photonic
crystals: Experiment and theory | We study the effects of single impurities on the transmission in microwave
realizations of the photonic Kronig-Penney model, consisting of arrays of
Teflon pieces alternating with air spacings in a microwave guide. As only the
first propagating mode is considered, the system is essentially one dimensional
obeying the Helmholtz equation. We derive analytical closed form expressions
from which the band structure, frequency of defect modes, and band profiles can
be determined. These agree very well with experimental data for all types of
single defects considered (e.g. interstitial, substitutional) and shows that
our experimental set-up serves to explore some of the phenomena occurring in
more sophisticated experiments. Conversely, based on the understanding provided
by our formulas, information about the unknown impurity can be determined by
simply observing certain features in the experimental data for the
transmission. Further, our results are directly applicable to the closely
related quantum 1D Kronig-Penney model.
| physics.optics cond-mat.mes-hall | we study the effects of single impurities on the transmission in microwave realizations of the photonic kronigpenney model consisting of arrays of teflon pieces alternating with air spacings in a microwave guide as only the first propagating mode is considered the system is essentially one dimensional obeying the helmholtz equation we derive analytical closed form expressions from which the band structure frequency of defect modes and band profiles can be determined these agree very well with experimental data for all types of single defects considered eg interstitial substitutional and shows that our experimental setup serves to explore some of the phenomena occurring in more sophisticated experiments conversely based on the understanding provided by our formulas information about the unknown impurity can be determined by simply observing certain features in the experimental data for the transmission further our results are directly applicable to the closely related quantum 1d kronigpenney model | [['we', 'study', 'the', 'effects', 'of', 'single', 'impurities', 'on', 'the', 'transmission', 'in', 'microwave', 'realizations', 'of', 'the', 'photonic', 'kronigpenney', 'model', 'consisting', 'of', 'arrays', 'of', 'teflon', 'pieces', 'alternating', 'with', 'air', 'spacings', 'in', 'a', 'microwave', 'guide', 'as', 'only', 'the', 'first', 'propagating', 'mode', 'is', 'considered', 'the', 'system', 'is', 'essentially', 'one', 'dimensional', 'obeying', 'the', 'helmholtz', 'equation', 'we', 'derive', 'analytical', 'closed', 'form', 'expressions', 'from', 'which', 'the', 'band', 'structure', 'frequency', 'of', 'defect', 'modes', 'and', 'band', 'profiles', 'can', 'be', 'determined', 'these', 'agree', 'very', 'well', 'with', 'experimental', 'data', 'for', 'all', 'types', 'of', 'single', 'defects', 'considered', 'eg', 'interstitial', 'substitutional', 'and', 'shows', 'that', 'our', 'experimental', 'setup', 'serves', 'to', 'explore', 'some', 'of', 'the', 'phenomena', 'occurring', 'in', 'more', 'sophisticated', 'experiments', 'conversely', 'based', 'on', 'the', 'understanding', 'provided', 'by', 'our', 'formulas', 'information', 'about', 'the', 'unknown', 'impurity', 'can', 'be', 'determined', 'by', 'simply', 'observing', 'certain', 'features', 'in', 'the', 'experimental', 'data', 'for', 'the', 'transmission', 'further', 'our', 'results', 'are', 'directly', 'applicable', 'to', 'the', 'closely', 'related', 'quantum', '1d', 'kronigpenney', 'model']] | [-0.11570441008673593, 0.13546346419884656, -0.028365504691098355, 0.033531960013991335, -0.0542332198214561, -0.17048056630242692, 0.04531679273232968, 0.38516143028118066, -0.2452978828891443, -0.3026635274541058, 0.08084453921765089, -0.3022629511355104, -0.13836335949912268, 0.2366976875986829, 0.01779551536281165, 0.03909486770003272, 0.05870025150084106, 0.015113424364439893, -0.040400863736055344, -0.1929457925194437, 0.29995234288437755, 0.05092291192748528, 0.31561011717273485, 0.046486515672127374, 0.036786320558342855, 0.018261928384773585, -0.006675961127367196, 0.01785659636589605, -0.14090471639284816, 0.1133182598641236, 0.2617379877616295, 0.0440018729544276, 0.16127989350680588, -0.49125167749972154, -0.2518306256650053, 0.022591269537556493, 0.14134870616798428, 0.15227522856584005, -0.04648527830119179, -0.2957729254192954, 0.04725461288186528, -0.10458642999710352, -0.1396026038220965, -0.05840514030857574, -0.05517866104784978, 0.03879667789559661, -0.25558206177005643, 0.07478219333289178, 0.025178722706748386, 0.04266733581187741, -0.09829537392103257, -0.10947603909158142, -0.034012123928311586, 0.11216370019305423, -0.002461821614333347, -0.04161797733211752, 0.12295147660032114, -0.07781453059437167, -0.13047889383641015, 0.41032061264568925, -0.058142803565617775, -0.20497960032974902, 0.17446538706891387, -0.14499137059929187, -0.07940232971270612, 0.1081254966494521, 0.12690266012995435, 0.08228291166577513, -0.14175969194081744, 0.04550029105591219, -0.04699270406600413, 0.16766078681872545, 0.06852528386774329, 0.049643033944326606, 0.2335407106180819, 0.1732093340126585, 0.013055783249562818, 0.15909458173769206, -0.08471342215889552, -0.07285819047024386, -0.28844436426840775, -0.12259249113368859, -0.20948733568434516, 0.03697884397506214, -0.08059439670600016, -0.17919436585776907, 0.4123119324392595, 0.13261971490624855, 0.20077536207305005, -0.014209574281438035, 0.2787322289866689, 0.12277931363584361, 0.08042382160139164, 0.017854577599205827, 0.21154692230434408, 0.13148884835259225, 0.0668016159735095, -0.22587848014679532, 0.03691015463484914, 0.006633769000424135] |
711.1761 | The low-dimensional structures formed by tricategories | We form tricategories and the homomorphisms between them into a bicategory,
whose 2-cells are certain degenerate tritransformations. We then enrich this
bicategory into an example of a three-dimensional structure called a locally
cubical bicategory, this being a bicategory enriched in the monoidal 2-category
of pseudo double categories. Finally, we show that every sufficiently
well-behaved locally cubical bicategory gives rise to a tricategory, and
thereby deduce the existence of a tricategory of tricategories.
| math.CT | we form tricategories and the homomorphisms between them into a bicategory whose 2cells are certain degenerate tritransformations we then enrich this bicategory into an example of a threedimensional structure called a locally cubical bicategory this being a bicategory enriched in the monoidal 2category of pseudo double categories finally we show that every sufficiently wellbehaved locally cubical bicategory gives rise to a tricategory and thereby deduce the existence of a tricategory of tricategories | [['we', 'form', 'tricategories', 'and', 'the', 'homomorphisms', 'between', 'them', 'into', 'a', 'bicategory', 'whose', '2cells', 'are', 'certain', 'degenerate', 'tritransformations', 'we', 'then', 'enrich', 'this', 'bicategory', 'into', 'an', 'example', 'of', 'a', 'threedimensional', 'structure', 'called', 'a', 'locally', 'cubical', 'bicategory', 'this', 'being', 'a', 'bicategory', 'enriched', 'in', 'the', 'monoidal', '2category', 'of', 'pseudo', 'double', 'categories', 'finally', 'we', 'show', 'that', 'every', 'sufficiently', 'wellbehaved', 'locally', 'cubical', 'bicategory', 'gives', 'rise', 'to', 'a', 'tricategory', 'and', 'thereby', 'deduce', 'the', 'existence', 'of', 'a', 'tricategory', 'of', 'tricategories']] | [-0.15199573318629214, 0.10044412489696697, -0.0683868019712261, 0.1477785872832303, -0.1337087018441202, -0.1334449324834471, 0.01049146693549119, 0.4107947501923061, -0.4196244262986713, -0.14420539448555145, -0.0026001010571942767, -0.15202247951593664, -0.13537492387048486, 0.10492186691812498, -0.229801286726595, -0.18247315768773356, 0.09190627522184514, 0.07790066099389353, -0.10217372182847208, -0.18602281645548324, 0.4700866087029378, -0.07823711898850484, 0.22147980792861846, -0.006361092849854483, 0.13533295227939057, -0.07252013567550522, 0.03713816029792522, 0.0653269406627967, -0.16315584326174656, 0.14087018868465545, 0.3120880809146911, 0.08126831960140003, 0.19754479763731878, -0.378770353018303, -0.004507314491396149, 0.16809757630754676, 0.08478764159372076, 0.07323835977068585, -0.06797128368190089, -0.39390845387242734, 0.11751740446521176, -0.2893171564533582, -0.06041562796518621, -0.1002002775720838, 0.06751714733480993, 0.019229999717531934, -0.26795857638757703, -0.11658527616721888, 0.20200180945297083, 0.05994508715553416, -0.11509894890736581, 0.017338328978641786, -0.14800980195610058, 0.11326609569773104, -0.12978668743744493, 0.006556025376388182, 0.11246270386861094, -0.08373002362592767, -0.07769753818219113, 0.3977125451589624, -0.05425595050150554, -0.19871904243094227, 0.1533554863805572, -0.11822379098723307, -0.14907060485307333, 0.16786975361820725, 0.02508227659078936, 0.13571212818432185, -0.08184615934038043, 0.14317870367570626, -0.2093472998822108, 0.07060568739770032, 0.13976060152183184, 0.05936905406674163, 0.22317031384187025, 0.15042388796185455, 0.06888937977944604, 0.22856132215302852, 0.07081498298430233, -0.0645092352933716, -0.3963219706589977, -0.24004527762170053, 0.040382407198194414, 0.17035241519463146, -0.048633687598743966, -0.2659128515127425, 0.3378293227190928, 0.0552829821600527, 0.21685841689921087, 0.20604660867765132, 0.22272885658053887, -0.04552090734553834, 0.09546308460024495, 0.00015104425094452582, 0.09269932207340996, 0.30861360123122317, -0.01602897300229718, -0.013425966407845004, -0.04459978764255842, 0.24005634447611454] |
711.1762 | Capturing Relic Neutrinos with beta-decaying nuclei | We summarize a novel approach which has been recently proposed for direct
detection of low energy neutrino backgrounds such as the cosmological relic
neutrinos, exploiting neutrino/antineutrino capture on nuclei that
spontaneously undergo beta decay.
| astro-ph | we summarize a novel approach which has been recently proposed for direct detection of low energy neutrino backgrounds such as the cosmological relic neutrinos exploiting neutrinoantineutrino capture on nuclei that spontaneously undergo beta decay | [['we', 'summarize', 'a', 'novel', 'approach', 'which', 'has', 'been', 'recently', 'proposed', 'for', 'direct', 'detection', 'of', 'low', 'energy', 'neutrino', 'backgrounds', 'such', 'as', 'the', 'cosmological', 'relic', 'neutrinos', 'exploiting', 'neutrinoantineutrino', 'capture', 'on', 'nuclei', 'that', 'spontaneously', 'undergo', 'beta', 'decay']] | [-0.0397696780753048, 0.23490658046349006, -0.07278765666791621, 0.17916409270016148, -0.10283462013638414, -0.12646859954111278, 0.010725713718463393, 0.3584639087100239, -0.18244973793351912, -0.3186792394913295, 0.015077031566761434, -0.2699984995757832, -0.08858121509718545, 0.17541937888873851, 0.06955014667747651, 0.04331904112854425, 0.020998228834394145, 0.006492878200815004, -0.07903468694455702, -0.14363379770999446, 0.2750386687762597, 0.15208431848270051, 0.2910678715938154, 0.06767415682620861, 0.1564944752437227, -0.07044058491010219, -0.07366340775864527, -0.0678388383513426, -0.12721695957182366, -0.008599454495946275, 0.20841597220586502, 0.18109744557809523, 0.12054026406258345, -0.45251844165956273, -0.2974665514467394, 0.22554701683796285, 0.20848464921993368, 0.1319141362019924, -0.23335231028784834, -0.37347397295867696, 0.0928540174739764, -0.30331192012218866, -0.05239952117314234, -0.11836419098407906, -0.029996118727414048, -0.018222072106950423, -0.24955808311043418, 0.09259926461998154, -0.050683961359455305, -0.10648236354566454, -0.03305920029935591, -0.13437696280615294, 0.0418910803821157, 0.05980527059942046, 0.22254431603805108, -0.04561467281104449, 0.16455053491517901, -0.13915782865575133, -0.13667946929276428, 0.3699735567411956, -0.06225399205269402, -0.10704193162896178, 0.15547213004902005, -0.12459643943892683, -0.2473051627714406, 0.2325827144908116, 0.22371789834955158, 0.1041217221714118, -0.15164763181853821, 0.14255598286827614, -0.05733005214920815, 0.1338308274965076, 0.08772583590710864, 0.08234959573704093, 0.31885913847123876, 0.27996406244004474, 0.08245647498680388, -0.04912426648661494, -0.18539739166632951, 0.014923187931451727, -0.3031106776393512, -0.13172813176232226, -0.1258248461629538, 0.06339007610564723, 0.019367150733802085, -0.11564385573215344, 0.38366565872531605, 0.07413680489887209, 0.19226276838248046, -0.011745403024285813, 0.293527672505554, 0.08945045603425517, 0.06855008947005604, 0.015057608040104456, 0.36501312716042295, 0.15396919160369127, 0.0874666245380307, -0.27935607665601897, 0.026446387404575944, 0.08857379951308865] |
711.1763 | Second order differential operators having several families of
orthogonal matrix polynomials as eigenfunctions | The aim of this paper is to bring into the picture a new phenomenon in the
theory of orthogonal matrix polynomials satisfying second order differential
equations. The last few years have witnessed some examples of a (fixed) family
of orthogonal matrix polynomials whose elements are common eigenfunctions of
several linearly independent second order differential operators. We show that
the dual situation is also possible: there are examples of different families
of matrix polynomials, each family orthogonal with respect to a different
weight matrix, whose elements are eigenfunctions of a common second order
differential operator.
These examples are constructed by adding a discrete mass at certain point to
a weight matrix: $\widetilde{W}=W+\delta_{t_0}M(t_0)$. Our method consists in
showing how to choose the discrete mass $M(t_0)$, the point $t_0$ where the
mass lives and the weight matrix $W$ so that the new weight matrix
$\widetilde{W}$ inherits some of the symmetric second order differential
operators associated with $W$. It is well known that this situation is not
possible for the classical scalar families of Hermite, Laguerre and Jacobi.
| math.CA | the aim of this paper is to bring into the picture a new phenomenon in the theory of orthogonal matrix polynomials satisfying second order differential equations the last few years have witnessed some examples of a fixed family of orthogonal matrix polynomials whose elements are common eigenfunctions of several linearly independent second order differential operators we show that the dual situation is also possible there are examples of different families of matrix polynomials each family orthogonal with respect to a different weight matrix whose elements are eigenfunctions of a common second order differential operator these examples are constructed by adding a discrete mass at certain point to a weight matrix widetildewwdelta_t_0mt_0 our method consists in showing how to choose the discrete mass mt_0 the point t_0 where the mass lives and the weight matrix w so that the new weight matrix widetildew inherits some of the symmetric second order differential operators associated with w it is well known that this situation is not possible for the classical scalar families of hermite laguerre and jacobi | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'bring', 'into', 'the', 'picture', 'a', 'new', 'phenomenon', 'in', 'the', 'theory', 'of', 'orthogonal', 'matrix', 'polynomials', 'satisfying', 'second', 'order', 'differential', 'equations', 'the', 'last', 'few', 'years', 'have', 'witnessed', 'some', 'examples', 'of', 'a', 'fixed', 'family', 'of', 'orthogonal', 'matrix', 'polynomials', 'whose', 'elements', 'are', 'common', 'eigenfunctions', 'of', 'several', 'linearly', 'independent', 'second', 'order', 'differential', 'operators', 'we', 'show', 'that', 'the', 'dual', 'situation', 'is', 'also', 'possible', 'there', 'are', 'examples', 'of', 'different', 'families', 'of', 'matrix', 'polynomials', 'each', 'family', 'orthogonal', 'with', 'respect', 'to', 'a', 'different', 'weight', 'matrix', 'whose', 'elements', 'are', 'eigenfunctions', 'of', 'a', 'common', 'second', 'order', 'differential', 'operator', 'these', 'examples', 'are', 'constructed', 'by', 'adding', 'a', 'discrete', 'mass', 'at', 'certain', 'point', 'to', 'a', 'weight', 'matrix', 'widetildewwdelta_t_0mt_0', 'our', 'method', 'consists', 'in', 'showing', 'how', 'to', 'choose', 'the', 'discrete', 'mass', 'mt_0', 'the', 'point', 't_0', 'where', 'the', 'mass', 'lives', 'and', 'the', 'weight', 'matrix', 'w', 'so', 'that', 'the', 'new', 'weight', 'matrix', 'widetildew', 'inherits', 'some', 'of', 'the', 'symmetric', 'second', 'order', 'differential', 'operators', 'associated', 'with', 'w', 'it', 'is', 'well', 'known', 'that', 'this', 'situation', 'is', 'not', 'possible', 'for', 'the', 'classical', 'scalar', 'families', 'of', 'hermite', 'laguerre', 'and', 'jacobi']] | [-0.13090754254601983, 0.13948060073185886, -0.0355700037745369, 0.017487145726146652, -0.09152454486371256, -0.1312716460007048, -0.006975229102630862, 0.3470141452704665, -0.32117196474614185, -0.21644464917758446, 0.11433916347206917, -0.3073696200952454, -0.1839126306856701, 0.15322309347995838, -0.06561007020388578, 0.08027979864219073, 0.04937725642094995, 0.1234829911371953, -0.1465713641908139, -0.2754439823065484, 0.4161385632645295, -0.001637564049350087, 0.18842700369071302, -0.030075907369474554, 0.11174128561139886, -0.044712132159728815, -0.0502633202745211, -0.05509119389881922, -0.08722525512251217, 0.1317383397064648, 0.26282064579860415, 0.10024490497824784, 0.2723418575126764, -0.36545583421261546, -0.13963009448462102, 0.16326715104717782, 0.12683591853588994, 0.057573794460378934, -0.04423028967061708, -0.22364358715225705, 0.09268493054984246, -0.17059961088857245, -0.2028366977505949, -0.0768833244862414, 0.000587109549425889, 0.04354005692483381, -0.29852488285287954, 0.03481591431282564, 0.0791285389575425, 0.019062975586695206, 0.003691841073897342, -0.17851068234331038, -0.02118637235726901, 0.06780382312650164, 0.03111829339976011, -0.010996875120326877, 0.041672995411466025, -0.04595264056589195, -0.09561315339754423, 0.36774409909091, -0.029703123254030076, -0.23975725189894695, 0.12681239076787174, -0.16337608010778853, -0.14955783537913894, 0.1276595321061566, 0.14162888980827965, 0.132241528749271, -0.13643842012903026, 0.11615163465450128, -0.09591017753903776, 0.12828866046749132, 0.0981925697564039, 0.04377876337195292, 0.13368118820755287, 0.05447894845937574, 0.07259183297025819, 0.10675166648823421, 0.016170977147466632, -0.14248352138349937, -0.3383343872982402, -0.1581592272674708, -0.1784615647856574, 0.04997983728246127, -0.1404522947727115, -0.18454144694734104, 0.45119647817079755, 0.07947492153961808, 0.22865242119012183, 0.04898351189669568, 0.22455365969366287, 0.17857344293503935, 0.08092167355704966, 0.03505812487348394, 0.1526519730108449, 0.20887829032645366, 0.059119993555467834, -0.15805596511555176, 0.011825604510471918, 0.14455671921957197] |
711.1764 | Nonlinear statistics of quantum transport in chaotic cavities | In the framework of the random matrix approach, we apply the theory of
Selberg's integral to problems of quantum transport in chaotic cavities. All
the moments of transmission eigenvalues are calculated analytically up to the
fourth order. As a result, we derive exact explicit expressions for the
skewness and kurtosis of the conductance and transmitted charge as well as for
the variance of the shot-noise power in chaotic cavities. The obtained results
are generally valid at arbitrary numbers of propagating channels in the two
attached leads. In the particular limit of large (and equal) channel numbers,
the shot-noise variance attends the universal value 1/(64\beta) that determines
a universal Gaussian statistics of shot-noise fluctuations in this case.
| cond-mat.mes-hall | in the framework of the random matrix approach we apply the theory of selbergs integral to problems of quantum transport in chaotic cavities all the moments of transmission eigenvalues are calculated analytically up to the fourth order as a result we derive exact explicit expressions for the skewness and kurtosis of the conductance and transmitted charge as well as for the variance of the shotnoise power in chaotic cavities the obtained results are generally valid at arbitrary numbers of propagating channels in the two attached leads in the particular limit of large and equal channel numbers the shotnoise variance attends the universal value 164beta that determines a universal gaussian statistics of shotnoise fluctuations in this case | [['in', 'the', 'framework', 'of', 'the', 'random', 'matrix', 'approach', 'we', 'apply', 'the', 'theory', 'of', 'selbergs', 'integral', 'to', 'problems', 'of', 'quantum', 'transport', 'in', 'chaotic', 'cavities', 'all', 'the', 'moments', 'of', 'transmission', 'eigenvalues', 'are', 'calculated', 'analytically', 'up', 'to', 'the', 'fourth', 'order', 'as', 'a', 'result', 'we', 'derive', 'exact', 'explicit', 'expressions', 'for', 'the', 'skewness', 'and', 'kurtosis', 'of', 'the', 'conductance', 'and', 'transmitted', 'charge', 'as', 'well', 'as', 'for', 'the', 'variance', 'of', 'the', 'shotnoise', 'power', 'in', 'chaotic', 'cavities', 'the', 'obtained', 'results', 'are', 'generally', 'valid', 'at', 'arbitrary', 'numbers', 'of', 'propagating', 'channels', 'in', 'the', 'two', 'attached', 'leads', 'in', 'the', 'particular', 'limit', 'of', 'large', 'and', 'equal', 'channel', 'numbers', 'the', 'shotnoise', 'variance', 'attends', 'the', 'universal', 'value', '164beta', 'that', 'determines', 'a', 'universal', 'gaussian', 'statistics', 'of', 'shotnoise', 'fluctuations', 'in', 'this', 'case']] | [-0.15915626884721543, 0.14855229193749636, -0.06882028013224835, 0.08936108390739916, 0.028187712767849798, -0.12112650841312564, 0.04157713369425872, 0.2925296242632296, -0.25563830452890174, -0.26206191116943955, 0.07130163206880831, -0.2817620502045864, -0.1347532018168789, 0.23376731998287142, -0.030421469430186098, 0.09221055085730294, -0.011884290830272695, 0.07892049886286259, -0.04353996623489682, -0.21941927907907444, 0.2913370970758083, 0.03829990039964247, 0.3061358334233417, 0.039198432287768176, 0.09717736679898656, -0.006545516338361346, -0.020001365888215925, 0.01060504497980456, -0.1275674902735931, 0.10690284496902124, 0.25040356242502837, 0.017859285628504078, 0.2300751551783279, -0.3970274830318016, -0.16416325045182653, 0.11040537343967868, 0.17112401367124655, 0.12111166786888371, 0.023898669939650143, -0.23428078227190544, 0.05838485941209871, -0.17060191926303442, -0.16714626562012277, -0.08138055307588175, -0.01146289135693856, 0.0655416966598157, -0.301471861022646, 0.15973954585421343, 0.06512912397738546, 0.01906607240114523, -0.004044490068665018, -0.11884019024184217, 0.02755689332464143, 0.15816188972524325, 0.02319536497724703, -0.0636166155135826, 0.11480998258794779, -0.15175103735958184, -0.10610631924406018, 0.33355164873697185, -0.0853742549651424, -0.2159438486818386, 0.08633817357831108, -0.21977190977853278, -0.09439302870760793, 0.14399337134445492, 0.17690698657508777, 0.08978613302435563, -0.11636667915255479, 0.09061189570676778, -0.03017265555732276, 0.11351033555060301, 0.09449622744451398, 0.06934065022303358, 0.1797711543333919, 0.07425235127017873, 0.05165061099535745, 0.16637689659736402, -0.11380566825037418, -0.128383458332847, -0.35203613673701234, -0.13354624079074712, -0.22573408695929886, 0.060203494495995664, -0.1372210845063977, -0.1899557701271513, 0.3906052161655996, 0.16348905520027746, 0.19531933811452726, 0.10620349340707712, 0.3132362587458414, 0.1991808850530778, 0.022443412758571948, 0.053292615357381494, 0.20858645243367746, 0.22426332002100738, 0.07364831058834882, -0.21738157093261734, 0.026034950282748628, 0.04309587470539238] |
711.1765 | Kinematic calibration of orthoglide-type mechanisms | The paper proposes a novel calibration approach for the Orthoglide-type
mechanisms based on observations of the manipulator leg parallelism during
mo-tions between the prespecified test postures. It employs a low-cost
measuring system composed of standard comparator indicators attached to the
universal magnetic stands. They are sequentially used for measuring the
deviation of the relevant leg location while the manipulator moves the TCP
along the Cartesian axes. Using the measured differences, the developed
algorithm estimates the joint offsets that are treated as the most essential
parameters to be adjusted. The sensitivity of the meas-urement methods and the
calibration accuracy are also studied. Experimental re-sults are presented that
demonstrate validity of the proposed calibration technique
| cs.RO | the paper proposes a novel calibration approach for the orthoglidetype mechanisms based on observations of the manipulator leg parallelism during motions between the prespecified test postures it employs a lowcost measuring system composed of standard comparator indicators attached to the universal magnetic stands they are sequentially used for measuring the deviation of the relevant leg location while the manipulator moves the tcp along the cartesian axes using the measured differences the developed algorithm estimates the joint offsets that are treated as the most essential parameters to be adjusted the sensitivity of the measurement methods and the calibration accuracy are also studied experimental results are presented that demonstrate validity of the proposed calibration technique | [['the', 'paper', 'proposes', 'a', 'novel', 'calibration', 'approach', 'for', 'the', 'orthoglidetype', 'mechanisms', 'based', 'on', 'observations', 'of', 'the', 'manipulator', 'leg', 'parallelism', 'during', 'motions', 'between', 'the', 'prespecified', 'test', 'postures', 'it', 'employs', 'a', 'lowcost', 'measuring', 'system', 'composed', 'of', 'standard', 'comparator', 'indicators', 'attached', 'to', 'the', 'universal', 'magnetic', 'stands', 'they', 'are', 'sequentially', 'used', 'for', 'measuring', 'the', 'deviation', 'of', 'the', 'relevant', 'leg', 'location', 'while', 'the', 'manipulator', 'moves', 'the', 'tcp', 'along', 'the', 'cartesian', 'axes', 'using', 'the', 'measured', 'differences', 'the', 'developed', 'algorithm', 'estimates', 'the', 'joint', 'offsets', 'that', 'are', 'treated', 'as', 'the', 'most', 'essential', 'parameters', 'to', 'be', 'adjusted', 'the', 'sensitivity', 'of', 'the', 'measurement', 'methods', 'and', 'the', 'calibration', 'accuracy', 'are', 'also', 'studied', 'experimental', 'results', 'are', 'presented', 'that', 'demonstrate', 'validity', 'of', 'the', 'proposed', 'calibration', 'technique']] | [-0.11367669892933918, 0.06266861457593872, -0.07130908918666787, 0.030267753750584752, -0.07302739354781806, -0.16361232455320923, 0.03886390871463975, 0.4155466864966521, -0.22968414959801262, -0.34483963613664464, 0.08901809807866812, -0.24173148568037764, -0.10624784984975122, 0.2503888204560748, -0.07078182177584884, 0.08029416918309705, 0.09311219847794357, 0.014572444024711981, -0.07316531035238379, -0.19480190990725532, 0.2359945067271058, 0.08002956451465641, 0.3288503534692739, -0.013210540591639333, 0.16235201709891303, 0.0182223817173508, -0.05578982437561665, 0.037151313320334466, -0.1165220767066525, 0.1324052924626033, 0.20736353221374365, 0.10494761151910227, 0.2429187310294115, -0.36949514956878765, -0.1404174895183782, 0.07026578113436699, 0.11047134273186592, 0.035103654811142145, -0.01369795994105516, -0.29436567722586915, 0.06408840870530444, -0.14182045110854752, -0.1334700502006204, -0.07784486126287707, -0.04871234913922048, 0.054504054631252075, -0.2668628519833354, 0.03826378515987017, 0.01652097406206719, 0.0762790903718269, -0.06871170297589353, -0.12670370760003738, -0.0007712310346375619, 0.2067057846039201, 0.04308951440699665, 0.004731555673060939, 0.19032748924967433, -0.07197614924267068, -0.12461676974115628, 0.3935250241608758, -0.03104806499114992, -0.23260391334562364, 0.1577583777273373, -0.09258364556028807, -0.1251486102950626, 0.0850189556949772, 0.16549387776051713, 0.10652419443275514, -0.17903741032101347, -0.015095831315453065, 0.023096962125107114, 0.14843516139912286, 0.04945571162222352, -0.021968194458168, 0.18327260797325703, 0.1925465479133501, 0.03074432045728567, 0.11460139202556872, -0.183208410010723, -0.07399048924396213, -0.31873589866258306, -0.13002724777990288, -0.1655540045217744, -0.08529957635827097, -0.09060156082588426, -0.12769307652654657, 0.40216580845714944, 0.21286049603285, 0.18445793129441362, 0.05086387461882883, 0.37924949884680764, 0.07927535591443302, 0.11208784717018716, 0.05689640685990786, 0.2896447254627544, 0.10864191248713594, 0.08761823066327322, -0.2290124349861539, 0.14186302108906343, 0.05972292321634346] |
711.1766 | Achieving the Gaussian Rate-Distortion Function by Prediction | The "water-filling" solution for the quadratic rate-distortion function of a
stationary Gaussian source is given in terms of its power spectrum. This
formula naturally lends itself to a frequency domain "test-channel"
realization. We provide an alternative time-domain realization for the
rate-distortion function, based on linear prediction. This solution has some
interesting implications, including the optimality at all distortion levels of
pre/post filtered vector-quantized differential pulse code modulation (DPCM),
and a duality relationship with decision-feedback equalization (DFE) for
inter-symbol interference (ISI) channels.
| cs.IT math.IT | the waterfilling solution for the quadratic ratedistortion function of a stationary gaussian source is given in terms of its power spectrum this formula naturally lends itself to a frequency domain testchannel realization we provide an alternative timedomain realization for the ratedistortion function based on linear prediction this solution has some interesting implications including the optimality at all distortion levels of prepost filtered vectorquantized differential pulse code modulation dpcm and a duality relationship with decisionfeedback equalization dfe for intersymbol interference isi channels | [['the', 'waterfilling', 'solution', 'for', 'the', 'quadratic', 'ratedistortion', 'function', 'of', 'a', 'stationary', 'gaussian', 'source', 'is', 'given', 'in', 'terms', 'of', 'its', 'power', 'spectrum', 'this', 'formula', 'naturally', 'lends', 'itself', 'to', 'a', 'frequency', 'domain', 'testchannel', 'realization', 'we', 'provide', 'an', 'alternative', 'timedomain', 'realization', 'for', 'the', 'ratedistortion', 'function', 'based', 'on', 'linear', 'prediction', 'this', 'solution', 'has', 'some', 'interesting', 'implications', 'including', 'the', 'optimality', 'at', 'all', 'distortion', 'levels', 'of', 'prepost', 'filtered', 'vectorquantized', 'differential', 'pulse', 'code', 'modulation', 'dpcm', 'and', 'a', 'duality', 'relationship', 'with', 'decisionfeedback', 'equalization', 'dfe', 'for', 'intersymbol', 'interference', 'isi', 'channels']] | [-0.18895780972929466, -0.037568810724841584, -0.12198963372991133, 0.08685297270615895, -0.11594243375814439, -0.19195614946017295, 0.058997333239488026, 0.3672745897359916, -0.3176604887401616, -0.21406900818333213, 0.11619466917020166, -0.22980350695469956, -0.2261086143438279, 0.20458698502661268, -0.10663851130937721, 0.09656956287626936, 0.002989680026255456, 0.027960467264760445, -0.08047281188119984, -0.2002209226850903, 0.27043107084435536, 0.15041779064469868, 0.33771614974399133, 0.0349485580292013, 0.1371364163832716, 0.044062041105518555, -0.008832567772414122, -0.09620237803477565, -0.1276501180405763, 0.06662835539491088, 0.31333957744164415, 0.17394926659992815, 0.24122249149360958, -0.3331108050777312, -0.25581250553605733, 0.06360679066935439, 0.14496344987469736, 0.08844251795614391, -0.11050123794084805, -0.2714298243323962, 0.07300488469852019, -0.17674463785276462, -0.03339469045929519, 0.011332082889836144, -0.03229472404460848, 0.023708345040816953, -0.3608700460581868, 0.06686098029676044, 0.07893190416219978, 0.04253422186916901, -0.07133094579222854, -0.1389222809481492, 0.07328056375047674, 0.06828057060282632, -0.013244264655643039, 0.03611021212382633, 0.05244355114970218, -0.1058127988808225, -0.13121403995211478, 0.30831169254249996, -0.08898770048018591, -0.2656890695755094, 0.10743470287904787, -0.09486816820033171, -0.05046009190415067, 0.18311354992796242, 0.1699903424926976, 0.047659900965008106, -0.16699852722978656, 0.09176294371862263, -0.004621456687649091, 0.18470454510347342, 0.14124384831729125, 0.14463804527128368, 0.16624427881137824, 0.14938695137791427, 0.11488023521608592, 0.22125741261069054, -0.08218629074995809, -0.11227125654652438, -0.3104479679331919, -0.11288613338529328, -0.16814343466273982, 0.010880742996735613, -0.12021174735190594, -0.174645228460891, 0.4016955461881963, 0.08326179230510959, 0.123232707772174, 0.11925780811105613, 0.3481684705173528, 0.2205992671833546, 0.0022762308851528314, 0.05214203775998343, 0.13546241169262183, 0.17544370351278762, 0.08523884694448408, -0.2443239444774794, 0.06757994263179969, 0.03469351584804647] |
711.1767 | Pictorial Representation for Antisymmetric Eigenfunctions of PS-3
Integral Equations | Eigenvalue problem for Poincare-Steklov-3 integral equation is reduced to the
solution of three transcendential equations for three unknown numbers, moduli
of pants. The complete list of antisymmetric eigenfunctions of integral
equation in terms of Kleinian membranes is given.
| math.CV math.AG | eigenvalue problem for poincaresteklov3 integral equation is reduced to the solution of three transcendential equations for three unknown numbers moduli of pants the complete list of antisymmetric eigenfunctions of integral equation in terms of kleinian membranes is given | [['eigenvalue', 'problem', 'for', 'poincaresteklov3', 'integral', 'equation', 'is', 'reduced', 'to', 'the', 'solution', 'of', 'three', 'transcendential', 'equations', 'for', 'three', 'unknown', 'numbers', 'moduli', 'of', 'pants', 'the', 'complete', 'list', 'of', 'antisymmetric', 'eigenfunctions', 'of', 'integral', 'equation', 'in', 'terms', 'of', 'kleinian', 'membranes', 'is', 'given']] | [-0.23571857481470537, 0.04668296951179703, -0.08102607587352395, 0.057855873245797634, -0.1347764216673871, -0.09842671138337916, -0.06208897464805179, 0.2772755617689755, -0.2866489948808319, -0.25320416254301864, 0.09308210859631395, -0.328893188180195, -0.14307729324920931, 0.1927542477173524, -0.055110506558169924, 0.12395661122476061, 0.11362553632352501, 0.08611431179775132, -0.07053542186299132, -0.26357201057382756, 0.409928768252333, -0.11784787941724062, 0.1768030558143639, 0.03621427884273645, 0.1793923900760193, -0.021516614651773125, -0.021024427764233324, -0.05567775832282172, -0.1502682932639598, 0.1473822947041804, 0.32483504588405293, 0.040389476550949946, 0.19409235742770964, -0.41591810693757403, -0.1595506347495959, 0.14850656243248117, 0.19829734432924953, 0.0409537100026177, 0.0506695785879856, -0.24417341660915148, 0.06674370811217362, -0.08650464342079228, -0.24980943908707964, -0.023183941323724058, 0.09820203664195207, 0.020923315547406673, -0.20941452464709678, 0.13370511841235888, 0.014908244393558966, 0.03778855573748135, -0.16886265508623588, -0.17665649277882445, -0.03815117095493608, 0.057967040661929384, 0.022157126914761547, -0.03167251831231018, 0.010409082958681716, -0.16104256351374918, -0.07025517285284069, 0.3997376505802903, -0.060718997174666986, -0.34714448938353193, 0.011459117005061772, -0.10621075746085909, -0.09837636770680547, 0.22573480755090714, 0.1076372481830832, 0.17477939169233045, -0.16319124172959062, 0.16331431631826693, -0.06320717170213659, 0.059777796850539744, 0.1452685724426475, -0.01643914750052823, 0.08796536994891034, 0.12745681539591816, 0.08301846883518414, 0.16952518865259159, 0.04663825992287861, -0.11122784478357062, -0.37037190184411073, -0.21422570871396196, -0.21883893174688435, 0.1282823030422959, -0.16609150869771838, -0.2572641061205003, 0.405429452088558, 0.002736936556175351, 0.09077994866917531, 0.07455462294941147, 0.20845509483478963, 0.1563792947369317, -0.013952889667254768, 0.01116879063192755, 0.12260894221253693, 0.23988399866114682, -0.006767981116556459, -0.2292853019122655, -0.06268527279866652, 0.26981525446495247] |
711.1768 | Influence of disorder on the transport properties of heavy-fermion
systems | The influence of substitutional disorder on the transport properties of
heavy-fermion systems is investigated. We extend the dynamical mean-field
theory treatment of the periodic Anderson model (PAM) to a coherent-potential
approximation for disordered strongly correlated electron systems. Considering
two distinct local environments of a binary alloy $A_c B_{1-c}$ with arbitrary
concentration $c$, we explore two types of disorder: on the f site and on the
ligand sites. We calculate the spectral functions and self-energies for the
disordered PAM as well as the temperature dependence of the resistivity and the
thermoelectric power. The characteristic concentration dependence as well as
the order of magnitude of transport properties are reproduced for metallic
heavy-fermion systems and Kondo insulators. In particular, sign changes of the
Seebeck coefficient as function of temperature and concentration are observed.
| cond-mat.str-el | the influence of substitutional disorder on the transport properties of heavyfermion systems is investigated we extend the dynamical meanfield theory treatment of the periodic anderson model pam to a coherentpotential approximation for disordered strongly correlated electron systems considering two distinct local environments of a binary alloy a_c b_1c with arbitrary concentration c we explore two types of disorder on the f site and on the ligand sites we calculate the spectral functions and selfenergies for the disordered pam as well as the temperature dependence of the resistivity and the thermoelectric power the characteristic concentration dependence as well as the order of magnitude of transport properties are reproduced for metallic heavyfermion systems and kondo insulators in particular sign changes of the seebeck coefficient as function of temperature and concentration are observed | [['the', 'influence', 'of', 'substitutional', 'disorder', 'on', 'the', 'transport', 'properties', 'of', 'heavyfermion', 'systems', 'is', 'investigated', 'we', 'extend', 'the', 'dynamical', 'meanfield', 'theory', 'treatment', 'of', 'the', 'periodic', 'anderson', 'model', 'pam', 'to', 'a', 'coherentpotential', 'approximation', 'for', 'disordered', 'strongly', 'correlated', 'electron', 'systems', 'considering', 'two', 'distinct', 'local', 'environments', 'of', 'a', 'binary', 'alloy', 'a_c', 'b_1c', 'with', 'arbitrary', 'concentration', 'c', 'we', 'explore', 'two', 'types', 'of', 'disorder', 'on', 'the', 'f', 'site', 'and', 'on', 'the', 'ligand', 'sites', 'we', 'calculate', 'the', 'spectral', 'functions', 'and', 'selfenergies', 'for', 'the', 'disordered', 'pam', 'as', 'well', 'as', 'the', 'temperature', 'dependence', 'of', 'the', 'resistivity', 'and', 'the', 'thermoelectric', 'power', 'the', 'characteristic', 'concentration', 'dependence', 'as', 'well', 'as', 'the', 'order', 'of', 'magnitude', 'of', 'transport', 'properties', 'are', 'reproduced', 'for', 'metallic', 'heavyfermion', 'systems', 'and', 'kondo', 'insulators', 'in', 'particular', 'sign', 'changes', 'of', 'the', 'seebeck', 'coefficient', 'as', 'function', 'of', 'temperature', 'and', 'concentration', 'are', 'observed']] | [-0.16114966659806668, 0.16948381929586714, -0.01053426875374638, 0.0733888477095976, 0.03364129181628903, -0.1583027920085722, 0.06702151670425127, 0.35820519916462495, -0.2728169526045139, -0.26605400819546327, 0.01590116712390087, -0.35079633596424875, -0.14262227720867557, 0.16728573978627817, 0.05590202987480622, 0.04134375986339784, -0.08764283141264549, -0.007123204829314581, -0.12839326905086637, -0.2312280896979456, 0.29582212227396665, 0.015642060074382104, 0.2708404308829743, 0.10797191196336196, 0.011602514717154778, 0.07492047445848585, 0.10234123363087956, 0.0737879905007923, -0.14978529473480123, 0.02332420092330162, 0.22224045192034772, -0.0774420895115047, 0.18239554121660498, -0.3985828040740811, -0.26975734705427806, 0.019005943039575448, 0.11555390815752056, 0.10905468621864342, -0.05795120495873002, -0.2385135439914078, 0.034350914529596384, -0.1726624397238573, -0.1240411709761247, -0.07664743312992729, 0.017903647081066783, 0.08863067425644168, -0.2785901097795711, 0.15317477840357102, 0.05322383191288771, 0.1122030207529091, -0.12311068663693732, -0.1633585808153909, -0.0640971621301455, 0.0954460476560948, 0.03790099409928259, -0.02037836051402757, 0.20475167990662158, -0.11111077829264104, -0.08793279010121925, 0.3828512281394349, -0.06651976079894946, -0.11279535421994157, 0.21122475739998314, -0.19156198704328675, -0.08559721029865054, 0.08612876828903189, 0.16490624606466064, 0.10868547571679721, -0.1428257444443611, 0.1062991113433292, -0.014263601457843413, 0.16774831983224991, 0.01731545563357381, 0.09980089914931271, 0.18442828036808911, 0.18876534337356973, 0.032951726553101954, 0.13858690589594727, -0.09801044774134285, -0.06700658906036272, -0.20949875105602236, -0.14934750616980286, -0.2293181164118533, 0.057277764641464904, -0.11452552674712094, -0.24833701982503184, 0.441142862304472, 0.15055750229467565, 0.19635042456838375, -0.026326025062455582, 0.19989892797043118, 0.1596500513027422, 0.01492292148938689, 0.0002791049639479472, 0.1661997255363251, 0.19743270361796023, 0.10195455868871739, -0.33094432801366425, 0.12295802852425437, 0.06748859473647406] |
711.1769 | Constructible ideals | We introduce the concept of constructible ideal and we relate this concept
with the notion of constructible simplicial complex. Several properties of
constructible ideals are studied.
| math.AC | we introduce the concept of constructible ideal and we relate this concept with the notion of constructible simplicial complex several properties of constructible ideals are studied | [['we', 'introduce', 'the', 'concept', 'of', 'constructible', 'ideal', 'and', 'we', 'relate', 'this', 'concept', 'with', 'the', 'notion', 'of', 'constructible', 'simplicial', 'complex', 'several', 'properties', 'of', 'constructible', 'ideals', 'are', 'studied']] | [-0.1804328171822887, 0.12031115548541912, -0.08644217091540878, 0.11344826409073833, -0.1213587114157585, -0.054708509920881346, -0.10924837924540043, 0.34446164371015936, -0.45675340552742666, -0.11876532951226601, 0.034706232675279565, -0.15690562687814236, -0.209392337844922, 0.15239092105856308, -0.17257969203190163, 0.006391798396809743, -0.014630080952953834, 0.016559597104787827, -0.05175047342737134, -0.2776607652105248, 0.5142016164385356, -0.028592312708497047, 0.2259678513957904, 0.08612025557802273, 0.11913168204661745, -0.026109105477539394, -0.11700622078317863, 0.08267117019456166, -0.2954735215753317, 0.25066942614145005, 0.3068744464275929, 0.22397424731976712, 0.24697699469442552, -0.4116551411839632, -0.05781710262481983, 0.20317221117707399, 0.03736187748682614, 0.02417880618192542, 0.0289069192412381, -0.24054014482177222, 0.1365125632056823, -0.1699377139313863, -0.22336248574384415, -0.12240994475387897, 0.022156390074927073, 0.07680694844860297, -0.15501269651576877, -0.07081112956914765, 0.10948772886051582, 0.1870699253004904, -0.0565883127005341, -0.04490116657689214, -0.06806480749331129, 0.00858097244054079, -0.1328989970855988, -0.03159691454269565, 0.12401026075419325, -0.08829548076475756, -0.177532080704203, 0.3759983081657153, -0.05302013664578016, -0.25166338667846644, 0.17644516142228475, -0.14541145299489683, -0.1652660165161181, 0.08443972724489868, -0.01012631835272679, 0.2358665344878458, -0.01536933035374834, 0.20811507775439309, -0.21062912458840471, -0.027254294245862044, 0.13380175565655988, 0.16176609981518525, 0.1244405759856678, 0.1683767902163359, -0.01518119008351977, 0.26318543719557613, -0.00401447437560329, -0.10687542112114337, -0.30457159962791663, -0.19546709578627577, -0.11656740462282099, 0.11707147884254272, -0.08446609254763014, -0.23159875659845197, 0.4156361253788838, 0.17886518450597158, 0.19593605747034487, 0.18430054581795746, 0.2810882802766103, -0.014929300174117088, 0.03596583469054447, -0.012336888278906163, 0.11222807840945628, 0.2073650173842907, -0.033476983268673606, -0.11037708005796258, 0.07986840822447377, 0.24161521796710217] |
711.177 | Mutual phase-locking in high frequency microwave nanooscillators as
function of field angle | We perform a qualitative analysis of phase locking in a double point-contact
spinvalve system by solving the Landau-Lifshitz-Gilbert-Slonzewski equation
using a hybrid-finite-element method. We show that the phase-locking behaviour
depends on the applied field angle. Starting from a low field angle, the
locking-current difference between the current through contact A and B
increases with increasing angle up to a maximum of 14 mA at 30 degree and it
decreases thereafter until it reaches a minimum of 1 mA at 75 degree. The
tunability of the phase-lock frequency with current decreases linearly with
increasing out of plane angle from 45 to 21 MHz/mA.
| cond-mat.mtrl-sci | we perform a qualitative analysis of phase locking in a double pointcontact spinvalve system by solving the landaulifshitzgilbertslonzewski equation using a hybridfiniteelement method we show that the phaselocking behaviour depends on the applied field angle starting from a low field angle the lockingcurrent difference between the current through contact a and b increases with increasing angle up to a maximum of 14 ma at 30 degree and it decreases thereafter until it reaches a minimum of 1 ma at 75 degree the tunability of the phaselock frequency with current decreases linearly with increasing out of plane angle from 45 to 21 mhzma | [['we', 'perform', 'a', 'qualitative', 'analysis', 'of', 'phase', 'locking', 'in', 'a', 'double', 'pointcontact', 'spinvalve', 'system', 'by', 'solving', 'the', 'landaulifshitzgilbertslonzewski', 'equation', 'using', 'a', 'hybridfiniteelement', 'method', 'we', 'show', 'that', 'the', 'phaselocking', 'behaviour', 'depends', 'on', 'the', 'applied', 'field', 'angle', 'starting', 'from', 'a', 'low', 'field', 'angle', 'the', 'lockingcurrent', 'difference', 'between', 'the', 'current', 'through', 'contact', 'a', 'and', 'b', 'increases', 'with', 'increasing', 'angle', 'up', 'to', 'a', 'maximum', 'of', '14', 'ma', 'at', '30', 'degree', 'and', 'it', 'decreases', 'thereafter', 'until', 'it', 'reaches', 'a', 'minimum', 'of', '1', 'ma', 'at', '75', 'degree', 'the', 'tunability', 'of', 'the', 'phaselock', 'frequency', 'with', 'current', 'decreases', 'linearly', 'with', 'increasing', 'out', 'of', 'plane', 'angle', 'from', '45', 'to', '21', 'mhzma']] | [-0.1702106724569232, 0.16873001783363978, -0.04565433189462947, -0.058374335243347654, -0.03537690108737015, -0.14646139697703933, 0.1500249661039561, 0.3545506749164351, -0.2775206347281227, -0.37775942275053537, 0.07584398211697496, -0.30733617840866956, -0.10925114284535604, 0.22101217626275646, 0.01742952594733132, -0.007730899169584926, 0.031297667602989444, 0.033101485802183805, -0.1417793539633062, -0.16999649490248792, 0.26705486573544995, 0.053352749098700525, 0.28862256739212544, 0.05760266414216282, 0.15058917818324907, 0.02407319185903714, 0.021513842844537327, 0.07017741262988776, -0.1154376405879424, 0.009981993509798634, 0.16412118972606995, 0.04421390396808939, 0.25367861271512754, -0.33658150137801257, -0.13423789855643956, 0.034599358719602534, 0.11709391530923907, 0.10047512283852818, -0.018020264981362055, -0.21103317868819801, 0.0978603141752965, -0.1545142827449219, -0.1780333739315749, 0.030935423154079794, 0.044398305362698676, 0.03671556687438671, -0.24366557003683126, 0.07254037359368284, 0.00037592668466422023, 0.13647324470232944, -0.004887250470643749, -0.11942316455248629, -0.05501709826176568, 0.05895689503071183, 0.03540992082989946, 0.1394909305726083, 0.14165142131969333, -0.14416691569649442, -0.06736949568006154, 0.2997621409428705, -0.11616838098104511, -0.1390164542316022, 0.1661740418604328, -0.19907992284706966, -0.031148350941627857, 0.20211539090592034, 0.1345491024228383, 0.11143842930620422, -0.04498882799252526, 0.03919242227085324, 0.01523425303665655, 0.22311280996833302, 0.11536112661492459, -0.041736327349303326, 0.22503391030833733, 0.1968347673988616, 0.10050113560935976, 0.14464027380893882, -0.1648230584770707, -0.07823318911108132, -0.2574525903542146, -0.12065454246001128, -0.15137915612241176, 0.07631277649459067, -0.11414587238716789, -0.09745854545118553, 0.426827481938336, 0.156651727902722, 0.22879418936957205, 0.03397701877378383, 0.2622570930742564, 0.14173244380829286, 0.06911688609041597, 0.05788154442015351, 0.30320203731938894, 0.1858581643176208, 0.1666377087085679, -0.2508854925470921, 0.019151792980312388, -0.04881425403362634] |
711.1771 | Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic
Curves | Let L(E/Q,s) be the L-function of an elliptic curve E defined over the
rational field Q. We examine the vanishing and non-vanishing of the central
values L(E,1,\chi) of the twisted L-function as \chi ranges over Dirichlet
characters of given order.
| math.NT math.AG | let leqs be the lfunction of an elliptic curve e defined over the rational field q we examine the vanishing and nonvanishing of the central values le1chi of the twisted lfunction as chi ranges over dirichlet characters of given order | [['let', 'leqs', 'be', 'the', 'lfunction', 'of', 'an', 'elliptic', 'curve', 'e', 'defined', 'over', 'the', 'rational', 'field', 'q', 'we', 'examine', 'the', 'vanishing', 'and', 'nonvanishing', 'of', 'the', 'central', 'values', 'le1chi', 'of', 'the', 'twisted', 'lfunction', 'as', 'chi', 'ranges', 'over', 'dirichlet', 'characters', 'of', 'given', 'order']] | [-0.29430021235767084, 0.04735179192786559, -0.13847783886087248, -0.005347345931789814, -0.08549481890618037, -0.11012770502995221, -0.020989796003470056, 0.23138890085885158, -0.30811319949153143, -0.22588508178551608, 0.056917016263096, -0.24682465195655823, -0.007540880630795772, 0.23689712240145758, -0.083024826235114, 0.015616153041870954, -0.014809360142606191, 0.18713338688636819, -0.11928595781612855, -0.3039084361651196, 0.3960937194470973, -0.04422565738264567, 0.14832547877748042, 0.05381966344728612, 0.08151831309526013, 0.08047207429384191, 0.06204399967995974, -0.12006608366321486, -0.1950199619317666, 0.12586359221201676, 0.2981030138281102, -0.03761965819658377, 0.20110372043190858, -0.3224352843677386, -0.14083597586991695, 0.3093016752734398, 0.13595515845391232, -0.15773322719794053, 0.1193052944369041, -0.2284632507377328, 0.1409159338531586, -0.24003679152482596, -0.19550633201232323, -0.05856133588494208, 0.07394872523712902, 0.06495457951230212, -0.32839152713616687, 0.02962597521642844, 0.028523964329789847, 0.21331898500330937, -0.137939237535764, -0.2193183253208796, -0.047856429066413485, 0.06708781201487933, 0.09208270736659567, 0.1189394992394134, 0.06466378100837271, -0.2103768919284145, -0.07598061870950727, 0.33061768353367466, -0.12412896178340396, -0.17898647176722685, -0.006574760000102031, -0.2376562437424675, -0.020262929157186776, 0.09412444616930607, 0.12084964519509903, 0.18763144080264446, 0.05246528639243199, 0.19694229420602846, -0.13036059953185777, 0.09307388912958021, 0.13838327676057816, -0.1314626839489509, 0.2538144882195271, -0.03686065030976748, 0.025746601860588178, 0.13945099412618825, -0.06224900273940502, -0.049643504313933544, -0.4237949958500954, -0.18495747079260838, -0.14923195994626254, 0.17543094184918281, -0.15933670212166945, -0.18722442919627214, 0.4319148541260988, 0.0669607973108307, 0.24597917573574263, 0.08810248865913121, 0.1291128614296516, 0.22671143998069546, 0.07769076219007659, 0.0385585675875728, 0.05494808145345022, 0.2357238455890463, 0.0012075147555711179, -0.18308416300286084, 0.008251728107913947, 0.1316619136203558] |
711.1772 | Bloch oscillations of atoms in an optical multiphoton potential | We report on experiments studying transport properties of an atomic
Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$,
where $n$ is an integer, realized with the dispersion of multiphoton Raman
transitions. We observe Bloch oscillations, as a clear effect of quantum
transport, in the sub-wavelength scale periodicity lattice. The unusually
strong localisation of atoms is evident from the measured effective mass.
Future prospects of the novel lattice structures are expected in the search for
new quantum phases in tailored lattice structures up to quantum computing in
optical nanopotentials.
| cond-mat.other | we report on experiments studying transport properties of an atomic boseeinstein condensate in an optical lattice of spatial period lambda2n where n is an integer realized with the dispersion of multiphoton raman transitions we observe bloch oscillations as a clear effect of quantum transport in the subwavelength scale periodicity lattice the unusually strong localisation of atoms is evident from the measured effective mass future prospects of the novel lattice structures are expected in the search for new quantum phases in tailored lattice structures up to quantum computing in optical nanopotentials | [['we', 'report', 'on', 'experiments', 'studying', 'transport', 'properties', 'of', 'an', 'atomic', 'boseeinstein', 'condensate', 'in', 'an', 'optical', 'lattice', 'of', 'spatial', 'period', 'lambda2n', 'where', 'n', 'is', 'an', 'integer', 'realized', 'with', 'the', 'dispersion', 'of', 'multiphoton', 'raman', 'transitions', 'we', 'observe', 'bloch', 'oscillations', 'as', 'a', 'clear', 'effect', 'of', 'quantum', 'transport', 'in', 'the', 'subwavelength', 'scale', 'periodicity', 'lattice', 'the', 'unusually', 'strong', 'localisation', 'of', 'atoms', 'is', 'evident', 'from', 'the', 'measured', 'effective', 'mass', 'future', 'prospects', 'of', 'the', 'novel', 'lattice', 'structures', 'are', 'expected', 'in', 'the', 'search', 'for', 'new', 'quantum', 'phases', 'in', 'tailored', 'lattice', 'structures', 'up', 'to', 'quantum', 'computing', 'in', 'optical', 'nanopotentials']] | [-0.197153028801837, 0.249387324162598, -0.0609332715380895, 0.018445726183211702, -0.012582666706293821, -0.12691559569041633, 0.0462749690743519, 0.43490152642800567, -0.28517809561734986, -0.24545550564031923, 0.02668619268244195, -0.26980496679296656, -0.14244475184542157, 0.19565931211874474, 0.047603655282115, 0.09691069992272225, 0.008614573695728283, -0.021442322740645222, -0.06867793006717823, -0.20782842432420826, 0.2662113606511207, 0.056256289092897115, 0.29821896669193265, 0.0941885908217996, 0.04752360487859068, 0.009115496271661368, 0.027858711269964056, -0.010002898303477952, -0.1348830164876816, 0.104364648921771, 0.21271861967201647, -0.04332855587244411, 0.18195230494975373, -0.4444487627721235, -0.19610784631850345, 0.05176320639595892, 0.17639911026704344, 0.1738103762520163, -0.09105723730701785, -0.3035100870504138, -0.010518223568509344, -0.09788674719924673, -0.15099496494853096, -0.09834733141816399, 0.04655111028572147, -0.010174542445731297, -0.2302587027896949, 0.07228823844441527, 0.01935925851105137, 0.14396684530212053, -0.05727088238698629, -0.07503829125231237, 0.025299372711334, 0.07191425661838959, -0.06275072461517339, -0.004284514901699142, 0.09129621147104863, -0.1723509410702299, -0.19123739897786232, 0.4520655416287063, -0.10651040201734625, -0.07012740269910252, 0.15029241492595063, -0.17731535376924001, -0.08089937912195586, 0.12701009613137398, 0.17560350313112977, 0.08938658252630509, -0.09434944075228793, 0.06278171798402674, -0.056498818068105854, 0.20390154385750883, 0.06432147380330841, 0.15354242125588857, 0.2900441463073988, 0.2112448356716679, 0.053083858435078825, 0.146588200974027, -0.14706530818307584, -0.09588428157685178, -0.24974490818829181, -0.15729660712433666, -0.2264315138696536, 0.10573651313551524, -0.06928072211050083, -0.18054014948207173, 0.3602541491567168, 0.1299357550843943, 0.22023487685436613, -0.06019097794726323, 0.2253230083550672, 0.1351619277965654, 0.07332894421039343, -0.00365308000381743, 0.2649049313969157, 0.1332643534255664, 0.0876734155188367, -0.3183051195974054, -0.04066028263618688, 0.02749457739272647] |
711.1773 | Landau Analog Levels for Dipoles in the Noncommutative Space and Phase
Space | In the present contribution we investigate the Landau analog energy
quantization for neutral particles, that possesses a nonzero permanent magnetic
and electric dipole moments, in the presence of an homogeneous electric and
magnetic external fields in the context of the noncommutative quantum
mechanics. Also, we analyze the Landau--Aharonov--Casher and
Landau--He--McKellar--Wilkens quantization due to noncommutative quantum
dynamics of magnetic and electric dipoles in the presence of an external
electric and magnetic fields and the energy spectrum and the eigenfunctions are
obtained. Furthermore, we have analyzed Landau quantization analogs in the
noncommutative phase space, and we obtain also the energy spectrum and the
eigenfunctions in this context.
| hep-th | in the present contribution we investigate the landau analog energy quantization for neutral particles that possesses a nonzero permanent magnetic and electric dipole moments in the presence of an homogeneous electric and magnetic external fields in the context of the noncommutative quantum mechanics also we analyze the landauaharonovcasher and landauhemckellarwilkens quantization due to noncommutative quantum dynamics of magnetic and electric dipoles in the presence of an external electric and magnetic fields and the energy spectrum and the eigenfunctions are obtained furthermore we have analyzed landau quantization analogs in the noncommutative phase space and we obtain also the energy spectrum and the eigenfunctions in this context | [['in', 'the', 'present', 'contribution', 'we', 'investigate', 'the', 'landau', 'analog', 'energy', 'quantization', 'for', 'neutral', 'particles', 'that', 'possesses', 'a', 'nonzero', 'permanent', 'magnetic', 'and', 'electric', 'dipole', 'moments', 'in', 'the', 'presence', 'of', 'an', 'homogeneous', 'electric', 'and', 'magnetic', 'external', 'fields', 'in', 'the', 'context', 'of', 'the', 'noncommutative', 'quantum', 'mechanics', 'also', 'we', 'analyze', 'the', 'landauaharonovcasher', 'and', 'landauhemckellarwilkens', 'quantization', 'due', 'to', 'noncommutative', 'quantum', 'dynamics', 'of', 'magnetic', 'and', 'electric', 'dipoles', 'in', 'the', 'presence', 'of', 'an', 'external', 'electric', 'and', 'magnetic', 'fields', 'and', 'the', 'energy', 'spectrum', 'and', 'the', 'eigenfunctions', 'are', 'obtained', 'furthermore', 'we', 'have', 'analyzed', 'landau', 'quantization', 'analogs', 'in', 'the', 'noncommutative', 'phase', 'space', 'and', 'we', 'obtain', 'also', 'the', 'energy', 'spectrum', 'and', 'the', 'eigenfunctions', 'in', 'this', 'context']] | [-0.18540844874223694, 0.1948721697847829, -0.019939679719615154, 0.08780883107437358, -0.005715055122541694, -0.028491711284284696, -0.004140972193384256, 0.3516261431975111, -0.24710835407201487, -0.31216797621275943, 0.024323309684405103, -0.2400664421192442, -0.1418318084638136, 0.12863092640271553, -0.01708969868755398, -0.026866548318559162, -0.03274886533080672, 0.07746721202364334, -0.05370872551709628, -0.16850218511983536, 0.33679295984508756, 0.08994494362223822, 0.3000665031543646, 0.0680153778521344, 0.07385215893960916, 0.03473566271713935, 0.04452960323900557, 0.03768920040965895, -0.10954541802808447, 0.08293540927115828, 0.1529870596042691, -0.030551226603655286, 0.1819057080608148, -0.47028786681879026, -0.1567291461934264, 0.11192668240087536, 0.121151103982881, 0.14045101918208486, -0.10426887960056774, -0.29588322977248865, 0.04188588382497143, -0.13557999567666018, -0.15960849087703258, -0.14318301886893237, -0.0029946128533293423, 0.03113082157841955, -0.26636748675865907, 0.07578499685433389, 0.07615533917739342, 0.07625267301269699, -0.18446738254547548, -0.07825640494075532, 0.008751268847845495, 0.07791687757260381, 0.056046888939678095, 0.020673624696568228, 0.1337234761359958, -0.1599513551700511, -0.12648738373536617, 0.3622949764562341, -0.07506514898537156, -0.2272320804365266, 0.10927017230110672, -0.2072166433880249, -0.11222906395022829, 0.10437427606218709, 0.16625340093070498, 0.08952262749125321, -0.09722917933518496, 0.17750085250848385, 0.020488477003080055, 0.09165100212423848, 0.07246244838013528, 0.09373948017869574, 0.2524899366275909, 0.03380878995924901, 0.02571859995413643, 0.18716266331298706, -0.13597718763664418, -0.13051536457631022, -0.31209781679969567, -0.18782521409090036, -0.18156002478029293, 0.09408095477220531, -0.06712095119613738, -0.18957901418280715, 0.42949544868091694, 0.14995076034504634, 0.13683969858818903, -0.06691916739174093, 0.30713731266195493, 0.1972361832153043, 0.020566332588294663, 0.06871699090250051, 0.27945938266706294, 0.2323438788477618, 0.16049324274913837, -0.2677083797058843, -0.0762866546955103, 0.05357625433960213] |
711.1774 | Planar Contact Structures with Binding Number Three | In this article, we find the complete list of all contact structures (up to
isotopy) on closed three-manifolds which are supported by an open book
decomposition having planar pages with three (but not less) boundary
components. We distinguish them by computing their first Chern classes and
three dimensional invariants (whenever possible). Among these contact
structures we also distinguish tight ones from those which are overtwisted.
| math.GT math.SG | in this article we find the complete list of all contact structures up to isotopy on closed threemanifolds which are supported by an open book decomposition having planar pages with three but not less boundary components we distinguish them by computing their first chern classes and three dimensional invariants whenever possible among these contact structures we also distinguish tight ones from those which are overtwisted | [['in', 'this', 'article', 'we', 'find', 'the', 'complete', 'list', 'of', 'all', 'contact', 'structures', 'up', 'to', 'isotopy', 'on', 'closed', 'threemanifolds', 'which', 'are', 'supported', 'by', 'an', 'open', 'book', 'decomposition', 'having', 'planar', 'pages', 'with', 'three', 'but', 'not', 'less', 'boundary', 'components', 'we', 'distinguish', 'them', 'by', 'computing', 'their', 'first', 'chern', 'classes', 'and', 'three', 'dimensional', 'invariants', 'whenever', 'possible', 'among', 'these', 'contact', 'structures', 'we', 'also', 'distinguish', 'tight', 'ones', 'from', 'those', 'which', 'are', 'overtwisted']] | [-0.18842303592066925, 0.12441399496680018, -0.024992808867962315, 0.06536556616103133, -0.10269110699255879, -0.19754674358723256, 0.03032442109945875, 0.41757462402948964, -0.2631399409845471, -0.35381434390751215, 0.09583470996003599, -0.30329617703190215, -0.1879318692578146, 0.20347417539988571, -0.05727386420162824, -0.01606674257379312, 0.08400344857229636, 0.02571754275033107, -0.07422757108713715, -0.32053136751055716, 0.43603706710900253, -0.09154175637433162, 0.17984832255886152, 0.06957544059707568, 0.02964548816873083, -0.0775381168207297, -0.05323870238991311, 0.08840231815926157, -0.20354683340455476, 0.16033895326635011, 0.27520396581922585, 0.03642167838003773, 0.1125187333386678, -0.40029036838274734, -0.13456622231393478, 0.10586489671841263, 0.09551311866022073, 0.06095839120949117, 0.041421372248218034, -0.28495317678898574, 0.11390876135287377, -0.12761842986712088, -0.10797121044821464, -0.12071416223278413, 0.057179605416380445, -0.0069312623630349455, -0.108340521206936, -0.03376986962214757, 0.1059678579465701, 0.06874759656448777, -0.06120046513477484, -0.09582688325586228, -0.03234839385661941, 0.18624651747433327, 0.0170025770050975, 0.005043529640310086, 0.06300443679524156, -0.08543140333506297, -0.14610297192747776, 0.3715679849569614, 0.006769283087207721, -0.2475884509487794, 0.26241123053030324, -0.10819983419317465, -0.19393603537374965, 0.16637699560333902, 0.09996326254824033, 0.11455215989397122, -0.17936531965835736, 0.05129324505732467, -0.0506488164439081, 0.08430199461738364, 0.1581474638902224, -0.009427827052198924, 0.22111389823257924, 0.06069609127365626, 0.09561399225259755, 0.14948941727097217, 0.007838221527904702, -0.07766616697727631, -0.32005439435060207, -0.1997547627426684, -0.12489697524310592, 0.11155641568632116, -0.06567198697885032, -0.22184050815144124, 0.38799836210046823, 0.05305780005695012, 0.19622630188958004, 0.09867717238644567, 0.2709843209729745, 0.0033641338921510254, 0.07927494646238091, 0.1684377457230137, 0.18596465130551504, 0.12386559737273134, -0.022759022914732877, -0.06113478675699578, -0.006623826985462353, 0.07973978201357218] |
711.1775 | The shape of the dark matter halo in the early-type galaxy NGC 2974 | We present HI observations of the elliptical galaxy NGC 2974, obtained with
the Very Large Array. These observations reveal that the previously detected HI
disc in this galaxy (Kim et al. 1988) is in fact a ring. By studying the
harmonic expansion of the velocity field along the ring, we constrain the
elongation of the halo and find that the underlying gravitational potential is
consistent with an axisymmetric shape.
We construct mass models of NGC 2974 by combining the HI rotation curve with
the central kinematics of the ionised gas, obtained with the integral-field
spectrograph SAURON. We introduce a new way of correcting the observed
velocities of the ionised gas for asymmetric drift, and hereby disentangle the
random motions of the gas caused by gravitational interaction from those caused
by turbulence. To reproduce the observed flat rotation curve of the HI gas, we
need to include a dark halo in our mass models. A pseudo-isothermal sphere
provides the best model to fit our data, but we also tested an NFW halo and
Modified Newtonian Dynamics (MOND), which fit the data marginally worse.
The mass-to-light ratio M/L_I increases in NGC 2974 from 4.3 (M/L_I)sun at
one effective radius to 8.5 (M/L_I)sun at 5 Re. This increase of M/L already
suggests the presence of dark matter: we find that within 5 Re at least 55 per
cent of the total mass is dark.
| astro-ph | we present hi observations of the elliptical galaxy ngc 2974 obtained with the very large array these observations reveal that the previously detected hi disc in this galaxy kim et al 1988 is in fact a ring by studying the harmonic expansion of the velocity field along the ring we constrain the elongation of the halo and find that the underlying gravitational potential is consistent with an axisymmetric shape we construct mass models of ngc 2974 by combining the hi rotation curve with the central kinematics of the ionised gas obtained with the integralfield spectrograph sauron we introduce a new way of correcting the observed velocities of the ionised gas for asymmetric drift and hereby disentangle the random motions of the gas caused by gravitational interaction from those caused by turbulence to reproduce the observed flat rotation curve of the hi gas we need to include a dark halo in our mass models a pseudoisothermal sphere provides the best model to fit our data but we also tested an nfw halo and modified newtonian dynamics mond which fit the data marginally worse the masstolight ratio ml_i increases in ngc 2974 from 43 ml_isun at one effective radius to 85 ml_isun at 5 re this increase of ml already suggests the presence of dark matter we find that within 5 re at least 55 per cent of the total mass is dark | [['we', 'present', 'hi', 'observations', 'of', 'the', 'elliptical', 'galaxy', 'ngc', '2974', 'obtained', 'with', 'the', 'very', 'large', 'array', 'these', 'observations', 'reveal', 'that', 'the', 'previously', 'detected', 'hi', 'disc', 'in', 'this', 'galaxy', 'kim', 'et', 'al', '1988', 'is', 'in', 'fact', 'a', 'ring', 'by', 'studying', 'the', 'harmonic', 'expansion', 'of', 'the', 'velocity', 'field', 'along', 'the', 'ring', 'we', 'constrain', 'the', 'elongation', 'of', 'the', 'halo', 'and', 'find', 'that', 'the', 'underlying', 'gravitational', 'potential', 'is', 'consistent', 'with', 'an', 'axisymmetric', 'shape', 'we', 'construct', 'mass', 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'masstolight', 'ratio', 'ml_i', 'increases', 'in', 'ngc', '2974', 'from', '43', 'ml_isun', 'at', 'one', 'effective', 'radius', 'to', '85', 'ml_isun', 'at', '5', 're', 'this', 'increase', 'of', 'ml', 'already', 'suggests', 'the', 'presence', 'of', 'dark', 'matter', 'we', 'find', 'that', 'within', '5', 're', 'at', 'least', '55', 'per', 'cent', 'of', 'the', 'total', 'mass', 'is', 'dark']] | [-0.08140147955250401, 0.0471393598110657, -0.08781776909704227, 0.07624067091288993, -0.07126547514530118, -0.08675385092885343, -0.021220000813548415, 0.37506753121661307, -0.17158772624934024, -0.3710460123991366, 0.015446697538677912, -0.25698817016909664, -0.04037519520765407, 0.18633874406627335, -0.019429959939369794, -0.01974013417158032, 0.019526261284207216, -0.08378591069872349, -0.04476670784200643, -0.2839644555573788, 0.2993115073590495, 0.11193456737666216, 0.1492812714435762, -0.03808783163117269, 0.09115803709627825, -0.062084586644244245, -0.07974375715666332, -0.005990008558716023, 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711.1776 | Hot Jupiters and Central Cavities of Protoplanetary Discs | We investigate numerically the orbital evolution of massive extrasolar
planets within central cavities of their parent protoplanetary discs. Assuming
that they arrive at the inner edge of the disc due to type II migration, we
show that they spiral further in. We find that in magnetospheric cavities more
massive planets stop migrating at a larger distance from the edge of the disc.
This effect may qualitatively explain the correlation between masses and
orbital periods found for massive planets with P shorter than 5 days.
| astro-ph | we investigate numerically the orbital evolution of massive extrasolar planets within central cavities of their parent protoplanetary discs assuming that they arrive at the inner edge of the disc due to type ii migration we show that they spiral further in we find that in magnetospheric cavities more massive planets stop migrating at a larger distance from the edge of the disc this effect may qualitatively explain the correlation between masses and orbital periods found for massive planets with p shorter than 5 days | [['we', 'investigate', 'numerically', 'the', 'orbital', 'evolution', 'of', 'massive', 'extrasolar', 'planets', 'within', 'central', 'cavities', 'of', 'their', 'parent', 'protoplanetary', 'discs', 'assuming', 'that', 'they', 'arrive', 'at', 'the', 'inner', 'edge', 'of', 'the', 'disc', 'due', 'to', 'type', 'ii', 'migration', 'we', 'show', 'that', 'they', 'spiral', 'further', 'in', 'we', 'find', 'that', 'in', 'magnetospheric', 'cavities', 'more', 'massive', 'planets', 'stop', 'migrating', 'at', 'a', 'larger', 'distance', 'from', 'the', 'edge', 'of', 'the', 'disc', 'this', 'effect', 'may', 'qualitatively', 'explain', 'the', 'correlation', 'between', 'masses', 'and', 'orbital', 'periods', 'found', 'for', 'massive', 'planets', 'with', 'p', 'shorter', 'than', '5', 'days']] | [-0.16313724038385166, 0.19232581745988378, -0.06831284376260426, 0.1202488322451245, -0.05636977401029851, -0.06757003311178691, 0.051685073191211336, 0.38397288632889587, -0.212426338766125, -0.33406076802029494, 0.041830333068944694, -0.23974015849948738, -0.10200381761838105, 0.16275789739475363, -0.023946905040204348, -0.0248598757066897, 0.11557274657423564, -0.05455746674644096, -0.08230599020940385, -0.26386285628125605, 0.3167944287082979, 0.0370625985153657, 0.031947468052662555, -0.04796778747723216, -0.05439679449357625, -0.05515797862261977, -0.001083238771007884, -0.07195216293136279, -0.19923207312785962, 0.0629942326479414, 0.1985972750172507, 0.06947938923258334, 0.24582070015215626, -0.48649334424130974, -0.1752539160439656, 0.04936107867286496, 0.23217365065855639, 0.06578166574971485, -0.03619067868515101, -0.21119863156317956, 0.14293080478507494, -0.2153589995397765, -0.21210981884394728, 0.08808071299323014, 0.1450789897436542, -0.031014717896358065, -0.25053079828753005, 0.11790233096551328, 0.0796335153115381, 0.08121134946122766, -0.12265383904810906, -0.11747280886352417, -0.1165492594175573, 0.05745881938353358, 0.0657889074826103, 0.0011430229503838788, 0.18867210150762861, -0.08226174924112413, -0.05581505891487246, 0.3875893500988327, -0.0598283837574681, -0.04840794793285784, 0.30958787439435365, -0.31708452374386115, -0.07330090576544449, 0.1455883885334645, 0.21417054134820188, 0.11123238891984026, -0.11855038725549266, -0.026360452918673956, -0.03249003121163696, 0.17484996337000103, 0.1264086511856433, 0.08273111611405122, 0.43312614959930734, 0.10946045914343336, 0.05869661066459403, 0.09461407380738474, -0.18016980768602697, -0.09206733707937279, -0.167294629051217, -0.12309251482864576, -0.14101770534623592, 0.020482005828636744, -0.11673889424457143, -0.09559496478842837, 0.3151567752273487, 0.14675875664051136, 0.21669897665491417, 0.05322914180301484, 0.26412589907357914, 0.07584771715725462, 0.1690686741827189, 0.20192620342796935, 0.33093872818530407, 0.09341218159534037, 0.08793777750716322, -0.30044891918078065, 0.06916855763466585, -0.03713518967075894] |
711.1777 | Sustainability: A Tedious Path to Galactic Colonization | Civilization cannot sustain an exponential growth for long time even when
neglecting numerous laws of physics! In this paper, we examine what are
fundamental obstacles to long term survival of a civilization and its
possibility to colonize the Galaxy. Using the solar system as a reference,
resources available for sustained growth are analyzed. Using this information,
we will explore the probability of discovering a civilization at its different
stage of energy evolution as estimating some possible value of L, the typical
life time of an extra-terrestrial civilization.
| physics.pop-ph astro-ph | civilization cannot sustain an exponential growth for long time even when neglecting numerous laws of physics in this paper we examine what are fundamental obstacles to long term survival of a civilization and its possibility to colonize the galaxy using the solar system as a reference resources available for sustained growth are analyzed using this information we will explore the probability of discovering a civilization at its different stage of energy evolution as estimating some possible value of l the typical life time of an extraterrestrial civilization | [['civilization', 'can', 'not', 'sustain', 'an', 'exponential', 'growth', 'for', 'long', 'time', 'even', 'when', 'neglecting', 'numerous', 'laws', 'of', 'physics', 'in', 'this', 'paper', 'we', 'examine', 'what', 'are', 'fundamental', 'obstacles', 'to', 'long', 'term', 'survival', 'of', 'a', 'civilization', 'and', 'its', 'possibility', 'to', 'colonize', 'the', 'galaxy', 'using', 'the', 'solar', 'system', 'as', 'a', 'reference', 'resources', 'available', 'for', 'sustained', 'growth', 'are', 'analyzed', 'using', 'this', 'information', 'we', 'will', 'explore', 'the', 'probability', 'of', 'discovering', 'a', 'civilization', 'at', 'its', 'different', 'stage', 'of', 'energy', 'evolution', 'as', 'estimating', 'some', 'possible', 'value', 'of', 'l', 'the', 'typical', 'life', 'time', 'of', 'an', 'extraterrestrial', 'civilization']] | [-0.1280910250603814, 0.15044039859607106, -0.09319574905517088, 0.11915301956733773, -0.08500755231150171, -0.09316845803881403, 0.058296790723530154, 0.33922736028166994, -0.3041208772708408, -0.3267707104731182, 0.15416284145083575, -0.24271232528950681, -0.11028402289163998, 0.1953626379995099, -0.06673985314872963, 0.027101200136133808, 0.03835317194038494, 0.06481370439657687, 0.006807370081580963, -0.25653177019293333, 0.28429757444378495, 0.12183467955698936, 0.21108959044266323, 0.013733466886068609, 0.07798330468887632, -0.05939785016975789, -0.020362447169397703, -0.04161380132427439, -0.14612181614343586, 0.07245797796746377, 0.23651066908761012, 0.21691336316606877, 0.36399536168160423, -0.4894588528788352, -0.24021139556531457, 0.15368300129193813, 0.16962575386093126, 0.11631489854665812, -0.0684423162390224, -0.2385940544402481, 0.06139606329088565, -0.19244579306475565, -0.2103234297035008, 0.0005126169364137405, 0.08811263496648859, 0.019118487772754055, -0.20543029098454016, 0.05196640972545455, 0.02725177215787963, 0.0753818970459344, -0.08894238745084625, -0.07405490395798221, 0.0017335797734135253, 0.19789471578240575, 0.08314897066024556, -0.006992788991986096, 0.1392866258657622, -0.16671537912175569, -0.09563372521237894, 0.39506071602756326, -0.06191997193011709, -0.09218366746790707, 0.2139848416925154, -0.17920472942800683, -0.11422273703713225, 0.07369319500867277, 0.20433915694328872, 0.08402116106166928, -0.1900823466694419, 0.03395098665747686, 0.03032834472304041, 0.1537392531013624, 0.06279493165096607, 0.0714963687286482, 0.26061608942902903, 0.23970622882717924, 0.053832104852931065, 0.05999174388059394, -0.08816211604227481, -0.07565838096475504, -0.2745827548576265, -0.17968486054186625, -0.20593646192256446, 0.08401398731422721, -0.0733928839748511, -0.14906875642058862, 0.3831292388547974, 0.1537096262009899, 0.13888310190734707, 0.07150671277883124, 0.2677468231836842, 0.08950746544922533, 0.061821495574391025, 0.06747339191389817, 0.23124786993040206, 0.012579527651806447, 0.11905732719672167, -0.2100439394072799, 0.1506580268244513, -0.037330025955188] |
711.1778 | Modules identification by a Dynamical Clustering algorithm based on
chaotic R\"ossler oscillators | A new dynamical clustering algorithm for the identification of modules in
complex networks has been recently introduced \cite{BILPR}. In this paper we
present a modified version of this algorithm based on a system of chaotic
Roessler oscillators and we test its sensitivity on real and computer generated
networks with a well known modular structure.
| cond-mat.stat-mech nlin.CD physics.comp-ph | a new dynamical clustering algorithm for the identification of modules in complex networks has been recently introduced citebilpr in this paper we present a modified version of this algorithm based on a system of chaotic roessler oscillators and we test its sensitivity on real and computer generated networks with a well known modular structure | [['a', 'new', 'dynamical', 'clustering', 'algorithm', 'for', 'the', 'identification', 'of', 'modules', 'in', 'complex', 'networks', 'has', 'been', 'recently', 'introduced', 'citebilpr', 'in', 'this', 'paper', 'we', 'present', 'a', 'modified', 'version', 'of', 'this', 'algorithm', 'based', 'on', 'a', 'system', 'of', 'chaotic', 'roessler', 'oscillators', 'and', 'we', 'test', 'its', 'sensitivity', 'on', 'real', 'and', 'computer', 'generated', 'networks', 'with', 'a', 'well', 'known', 'modular', 'structure']] | [-0.14075356862455043, 0.0031708610454960814, -0.11867469106361551, 0.031643155905119374, -0.04357110097442033, -0.13492622221424683, -0.00294364888862408, 0.36046120787988295, -0.2493098852628807, -0.29827824199818215, 0.12353202276687436, -0.19359452398669608, -0.3156547127994445, 0.23214663600303093, -0.08429606870379087, 0.11513928362532994, 0.08289535941099221, 0.06488028683980822, -0.029748150200214027, -0.2610076781458942, 0.3342585049850761, 0.08578317459532113, 0.24627217338069007, -0.00030522775959293796, 0.16245892715534932, -0.0007103296954465925, -0.024407263001743354, 0.0546546321502834, -0.09711070401804908, 0.16445945171674467, 0.15573547218205794, 0.14381687247791802, 0.2768205282726448, -0.3642303766507023, -0.2054950630397729, 0.14371996401273207, 0.14859041446855045, 0.12157022197432113, -0.08459769446350071, -0.3305121604001747, 0.10579798627152757, -0.2136207025076421, -0.07242604682468018, -0.11103497094140863, 0.008317075063527192, 0.03285551564943678, -0.25122616606663456, 0.020471808474229754, 0.03707120512153092, 0.11144431698013027, -0.034860622913154934, -0.062547334564305, 0.05269279098577516, 0.08396548564317373, -0.06492662848026123, 0.0029797840353874665, 0.07822853996295412, -0.11014060374735943, -0.17917520524758213, 0.36005345429733115, -0.05555662191429017, -0.2044239850047062, 0.2299684564503929, -0.07097175162074701, -0.23403147397176274, 0.052509088420642995, 0.2391432615629626, 0.12535845586713754, -0.14936183064512662, 0.09847042741877783, -0.06988551033625626, 0.16226594037604783, 0.024104662608566148, -0.015070091159838551, 0.14030943981389393, 0.2830604068970062, 0.04055785675937275, 0.17661021888159426, -0.05820147447147459, -0.07900755367470237, -0.207840838908868, -0.1584905044544699, -0.20242621594565516, 0.02499523070060982, -0.033222495735829416, -0.2000631402369659, 0.4909734842631052, 0.14081913730094456, 0.19960847006724128, 0.07999288807359506, 0.2968754963993253, 0.08816738920022715, 0.09153877377931802, 0.06131743859359116, 0.2018537122826531, 0.1498894043231629, 0.12497571920800321, -0.15004321753556998, 0.025826107824818707, 0.07086873814498759] |
711.1779 | NIR spectroscopy of the most massive open cluster in the Galaxy:
Westerlund 1 | Using ISAAC/VLT, we have obtained individual spectra of all NIR-bright stars
in the central 2'x2' of the cluster Westerlund 1 (Wd 1) with a resolution of
R~9000 at a central wavelength of 2.30 micron. This allowed us to determine
radial velocities of ten post-main-sequence stars, and from these values a
velocity dispersion. Assuming virial equilibrium, the dispersion of sigma=8.4
km/s leads to a total dynamical cluster mass of 1.25x10^5 solar masses,
comparable to the photometric mass of the cluster. There is no extra-virial
motion which would have to be interpreted as a signature of cluster expansion
or dissolution.
| astro-ph | using isaacvlt we have obtained individual spectra of all nirbright stars in the central 2x2 of the cluster westerlund 1 wd 1 with a resolution of r9000 at a central wavelength of 230 micron this allowed us to determine radial velocities of ten postmainsequence stars and from these values a velocity dispersion assuming virial equilibrium the dispersion of sigma84 kms leads to a total dynamical cluster mass of 125x105 solar masses comparable to the photometric mass of the cluster there is no extravirial motion which would have to be interpreted as a signature of cluster expansion or dissolution | [['using', 'isaacvlt', 'we', 'have', 'obtained', 'individual', 'spectra', 'of', 'all', 'nirbright', 'stars', 'in', 'the', 'central', '2x2', 'of', 'the', 'cluster', 'westerlund', '1', 'wd', '1', 'with', 'a', 'resolution', 'of', 'r9000', 'at', 'a', 'central', 'wavelength', 'of', '230', 'micron', 'this', 'allowed', 'us', 'to', 'determine', 'radial', 'velocities', 'of', 'ten', 'postmainsequence', 'stars', 'and', 'from', 'these', 'values', 'a', 'velocity', 'dispersion', 'assuming', 'virial', 'equilibrium', 'the', 'dispersion', 'of', 'sigma84', 'kms', 'leads', 'to', 'a', 'total', 'dynamical', 'cluster', 'mass', 'of', '125x105', 'solar', 'masses', 'comparable', 'to', 'the', 'photometric', 'mass', 'of', 'the', 'cluster', 'there', 'is', 'no', 'extravirial', 'motion', 'which', 'would', 'have', 'to', 'be', 'interpreted', 'as', 'a', 'signature', 'of', 'cluster', 'expansion', 'or', 'dissolution']] | [-0.07870614527675666, 0.12490337824841079, -0.11274235014509605, 0.03207985521539262, -0.05945713163696622, -0.050261116881952866, 0.07785627163186866, 0.38217234619353946, -0.1828389094848382, -0.35854194297602304, 0.055292354130774345, -0.24886956201180033, 0.04734861396596228, 0.18265261849829634, -0.00991287681421167, -0.007988571018856755, 0.09064122988891445, 0.03635623072715182, -0.07055058157757708, -0.22977075252289836, 0.3006940762414352, 0.02875203619907169, 0.09652112642499178, -0.041371236040600036, 0.0871591793667329, -0.08703822044557646, -0.04695428660825679, 0.018533163164791307, -0.17653233746654892, 0.07594290884505761, 0.18411336139971882, 0.09384530849362674, 0.24423280627907892, -0.2941044398828557, -0.17539669995833385, 0.06054616447440103, 0.2178055800252447, 0.05712713128274405, -0.02895599683060458, -0.2541132741583217, 0.11419772044265349, -0.22187219396429628, -0.22776041113232312, 0.06573141332911818, 0.05917337097619709, 0.043423719985998775, -0.23411044181373558, 0.17645734543912112, -0.01160591064713356, 0.08383516962394903, -0.12475444972515107, -0.15365547214291597, -0.10439400583701698, 0.12286617862011649, -0.011318096668018323, 0.03328224986938662, 0.15006914775034313, -0.09632312691966562, -0.019359279620020015, 0.43748355562749663, -0.07008202821138854, -0.027977788066001315, 0.2284967699137173, -0.21433280305936933, -0.13951882553826037, 0.16883755101773298, 0.14479178343654464, 0.07998713389235107, -0.17690576886464107, -0.016831472210316476, -0.03298274804102747, 0.24214164865644355, 0.12462432269791239, 0.04962305198055937, 0.3264557631392228, 0.09532243181020021, 0.054847669155385935, 0.04037188092877745, -0.24738483105933196, -0.052011801371056786, -0.22827713610114236, -0.12902296400187832, -0.11307880088417349, 0.1069321800758572, -0.1492398588132346, -0.1369279296970681, 0.3254454381665901, 0.1104864892255711, 0.23089540252419138, 0.05152493866993801, 0.23471503130307322, 0.12828906330794684, 0.1589398012496531, 0.10059829126357248, 0.3115388099300234, 0.2273386500383678, 0.08958213243045304, -0.2423590972161803, -0.006245462660138544, 0.01571435297618767] |
711.178 | Nuclear kinetic energy spectra of D_2^+ in intense laser field: Beyond
Born Oppenheimer approximation | Simultaneously, the vibrational nuclear dynamics and full dimensional
electronic dynamics of the deuterium molecular ion exposed to the linear
polarized intense laser field are studied. The time dependent Schr\"odinger
equation of the aligned D2+ with the electric laser field is solved for the
simulation of the complicated dissociative ionization processes and compared
with the recent related experimental results. In this work, the R-dependent
ionization rate and the enhanced ionization phenomenon beyond the
Born-Oppenheimer approximation (BOA) are introduced and calculated. The
substructure of the nuclear kinetic energy release spectra are revealed as the
Coulomb explosion energy spectra and dissociation energy spectra in the
dissociation-ionization channel. The significant and trace of these distinct
sub-spectra in the total spectra comparatively are displayed and discussed.
| physics.atom-ph physics.comp-ph | simultaneously the vibrational nuclear dynamics and full dimensional electronic dynamics of the deuterium molecular ion exposed to the linear polarized intense laser field are studied the time dependent schrodinger equation of the aligned d2 with the electric laser field is solved for the simulation of the complicated dissociative ionization processes and compared with the recent related experimental results in this work the rdependent ionization rate and the enhanced ionization phenomenon beyond the bornoppenheimer approximation boa are introduced and calculated the substructure of the nuclear kinetic energy release spectra are revealed as the coulomb explosion energy spectra and dissociation energy spectra in the dissociationionization channel the significant and trace of these distinct subspectra in the total spectra comparatively are displayed and discussed | [['simultaneously', 'the', 'vibrational', 'nuclear', 'dynamics', 'and', 'full', 'dimensional', 'electronic', 'dynamics', 'of', 'the', 'deuterium', 'molecular', 'ion', 'exposed', 'to', 'the', 'linear', 'polarized', 'intense', 'laser', 'field', 'are', 'studied', 'the', 'time', 'dependent', 'schrodinger', 'equation', 'of', 'the', 'aligned', 'd2', 'with', 'the', 'electric', 'laser', 'field', 'is', 'solved', 'for', 'the', 'simulation', 'of', 'the', 'complicated', 'dissociative', 'ionization', 'processes', 'and', 'compared', 'with', 'the', 'recent', 'related', 'experimental', 'results', 'in', 'this', 'work', 'the', 'rdependent', 'ionization', 'rate', 'and', 'the', 'enhanced', 'ionization', 'phenomenon', 'beyond', 'the', 'bornoppenheimer', 'approximation', 'boa', 'are', 'introduced', 'and', 'calculated', 'the', 'substructure', 'of', 'the', 'nuclear', 'kinetic', 'energy', 'release', 'spectra', 'are', 'revealed', 'as', 'the', 'coulomb', 'explosion', 'energy', 'spectra', 'and', 'dissociation', 'energy', 'spectra', 'in', 'the', 'dissociationionization', 'channel', 'the', 'significant', 'and', 'trace', 'of', 'these', 'distinct', 'subspectra', 'in', 'the', 'total', 'spectra', 'comparatively', 'are', 'displayed', 'and', 'discussed']] | [-0.07488387757524227, 0.14854990202002227, -0.04645686468963201, 0.09564809223617582, 0.04702546626407032, -0.10123027397397284, -0.021838798529158036, 0.404967620720466, -0.2606130531639792, -0.30353508253271383, -0.0004786433137875671, -0.2942949825664982, -0.020800798293203117, 0.15516234713916977, 0.07244522223869959, 0.04631822623390083, 0.051263494541247685, -0.012189086808939464, -0.030661924303664514, -0.20180210229785492, 0.2935464200912975, 0.1377763978858032, 0.2375118890311569, 0.10545305279859653, 0.06586582170178493, -0.013223071817386274, -0.04212828427359151, -0.014913224320237835, -0.1533037882298231, 0.108307660681506, 0.22814398445189, 0.01865543554619459, 0.1962072603482132, -0.4679524225027611, -0.24146856858860702, 0.030697095879198364, 0.12989951230896016, 0.12757008233262848, -0.08620579378524175, -0.25735225799338274, -0.029810658861727766, -0.14270096173665175, -0.1347986002297451, -0.057779523231632386, 0.00653137931949459, 0.10895554528106004, -0.24530178601993005, 0.11800012502353638, 0.0019901344281000395, 0.05290167760103941, -0.13330663229959708, -0.13631743154643725, -0.07860619610679957, 0.05185518035771868, 0.043897308990805566, 0.03879024752338107, 0.19523288131458685, -0.1332404221745795, -0.07286534332864297, 0.40400660095425944, -0.07078070061785789, -0.0894090097866865, 0.18708433889599593, -0.2043303371120904, -0.09761866100792152, 0.24472880659935375, 0.12194581244257278, 0.13553575923239503, -0.12909463561760884, 0.0673622258749674, 0.03124400567418585, 0.1283367852308402, 0.08418732837308199, 0.07373289984922546, 0.13128083780175076, 0.1342412071612974, -0.031039530357035498, 0.10470779890323077, -0.13335778536857107, -0.14452542590443046, -0.2658429730450734, -0.09919189218974983, -0.15677673721996446, 0.06655237219141176, -0.034660718806480875, -0.09404145366667459, 0.4161019729365459, 0.07435102324379841, 0.15000592684567285, -0.07134618473549684, 0.3188203058302558, 0.1791323565635442, 0.02172249215655029, 0.05120411937823519, 0.27424564332080387, 0.2051445877101893, 0.12846061542319756, -0.3315186368029875, 0.04045782150448455, -0.005455085955327376] |
711.1781 | Detection of Endolithes Using Infrared Spectroscopy | On Earth, the Dry Valleys of Antarctica provide the closest martian-like
environment for the study of extremophiles. Colonies of bacteries are protected
from the freezing temperatures, the drought and UV light. They represent almost
half of the biomass of those regions. Due to there resilience, endolithes are
one possible model of martian biota. We propose to use infrared spectroscopy to
remotely detect those colonies even if there is no obvious sign of their
presence. This remote sensing approach reduces the risk of contamination or
damage to the samples.
| astro-ph | on earth the dry valleys of antarctica provide the closest martianlike environment for the study of extremophiles colonies of bacteries are protected from the freezing temperatures the drought and uv light they represent almost half of the biomass of those regions due to there resilience endolithes are one possible model of martian biota we propose to use infrared spectroscopy to remotely detect those colonies even if there is no obvious sign of their presence this remote sensing approach reduces the risk of contamination or damage to the samples | [['on', 'earth', 'the', 'dry', 'valleys', 'of', 'antarctica', 'provide', 'the', 'closest', 'martianlike', 'environment', 'for', 'the', 'study', 'of', 'extremophiles', 'colonies', 'of', 'bacteries', 'are', 'protected', 'from', 'the', 'freezing', 'temperatures', 'the', 'drought', 'and', 'uv', 'light', 'they', 'represent', 'almost', 'half', 'of', 'the', 'biomass', 'of', 'those', 'regions', 'due', 'to', 'there', 'resilience', 'endolithes', 'are', 'one', 'possible', 'model', 'of', 'martian', 'biota', 'we', 'propose', 'to', 'use', 'infrared', 'spectroscopy', 'to', 'remotely', 'detect', 'those', 'colonies', 'even', 'if', 'there', 'is', 'no', 'obvious', 'sign', 'of', 'their', 'presence', 'this', 'remote', 'sensing', 'approach', 'reduces', 'the', 'risk', 'of', 'contamination', 'or', 'damage', 'to', 'the', 'samples']] | [-0.09705468074744839, 0.16965316025930088, -0.06819894693813525, 0.05587625108675511, -0.0080276268296117, -0.10828255673567223, 0.1077522985978312, 0.38924656141289443, -0.23129231215801177, -0.3242540493564204, 0.13551834913858668, -0.3380730600897656, -0.15384333954615043, 0.14603111319254738, -0.11874782160834171, -0.015469174772544309, 0.03569264186892745, -0.00876676217621723, 0.022725728496795435, -0.25567949665602036, 0.25673157179208345, 0.06151981453064743, 0.23727530124055785, 0.03167173131585641, 0.039428039026165075, -0.05047059105709195, -0.02668337006295143, -0.06063740508533408, -0.08719598125059937, 0.10035838533820975, 0.2689699162295911, 0.14475597396254714, 0.23821544688232893, -0.4617603091295635, -0.22261899697789272, 0.18915431996601698, 0.05428669463063395, 0.08062474446934323, -0.06267823172641139, -0.2591272022271919, 0.04470476296968585, -0.10927130617634502, -0.17062881649038647, -0.011170233545694934, -0.012809768990548543, -0.04147169656975758, -0.22565527272215763, 0.08642936027933691, -0.011595519486988006, 0.10726003158231114, -0.10559594573799608, -0.10360004896904494, -0.10833290232302145, 0.18173964270986184, 0.08508098180281258, -0.009788804982658909, 0.21199406179881028, -0.10995784820988774, -0.05324551008836648, 0.4065701365146006, 0.0025383167531947757, -0.0643445249744366, 0.3066242528222447, -0.1637017872281979, -0.0742179177170836, 0.1811211644888444, 0.17585734842713316, 0.09559769675590445, -0.15805588645297428, 0.017145333147667304, -0.02366906499793363, 0.12577543334039146, 0.11106743101507079, 0.042698020346971705, 0.26637698602212895, 0.14695896289506277, 0.11039664096004048, 0.10823439310716335, -0.16368070613798621, -0.032314701474861915, -0.20056634221556272, -0.1446813294815636, -0.15003838735567623, 0.03615043546766216, -0.05490016512255331, -0.1928867700639679, 0.3653580224531334, 0.19808157507416813, 0.14889033713789526, 0.013769971377346231, 0.2863639720152457, 0.02228143286544743, 0.10298249444133754, 0.05318970336622104, 0.26898196231313914, 0.06358575541661446, 0.08666519510429786, -0.2292072144147485, 0.14774826778705383, -0.03517211592474649] |
711.1782 | Hyper-Raman scattering analysis of the vibrations in vitreous boron
oxide | Hyper-Raman scattering has been measured on vitreous boron oxide,
$v-$B$_2$O$_3$. This spectroscopy, complemented with Raman scattering and
infrared absorption, reveals the full set of vibrations that can be observed
with light. A mode analysis is performed based on the local D$_{3h}$ symmetry
of BO$_3$ triangles and B$_3$O$_3$ boroxol rings. The results show that in
$v-$B$_2$O$_3$ the main spectral components can be succesfully assigned using
this relatively simple model. In particular, it can be shown that the
hyper-Raman boson peak arises from external modes that correspond mainly to
librational motions of rigid boroxol rings.
| cond-mat.dis-nn | hyperraman scattering has been measured on vitreous boron oxide vb_2o_3 this spectroscopy complemented with raman scattering and infrared absorption reveals the full set of vibrations that can be observed with light a mode analysis is performed based on the local d_3h symmetry of bo_3 triangles and b_3o_3 boroxol rings the results show that in vb_2o_3 the main spectral components can be succesfully assigned using this relatively simple model in particular it can be shown that the hyperraman boson peak arises from external modes that correspond mainly to librational motions of rigid boroxol rings | [['hyperraman', 'scattering', 'has', 'been', 'measured', 'on', 'vitreous', 'boron', 'oxide', 'vb_2o_3', 'this', 'spectroscopy', 'complemented', 'with', 'raman', 'scattering', 'and', 'infrared', 'absorption', 'reveals', 'the', 'full', 'set', 'of', 'vibrations', 'that', 'can', 'be', 'observed', 'with', 'light', 'a', 'mode', 'analysis', 'is', 'performed', 'based', 'on', 'the', 'local', 'd_3h', 'symmetry', 'of', 'bo_3', 'triangles', 'and', 'b_3o_3', 'boroxol', 'rings', 'the', 'results', 'show', 'that', 'in', 'vb_2o_3', 'the', 'main', 'spectral', 'components', 'can', 'be', 'succesfully', 'assigned', 'using', 'this', 'relatively', 'simple', 'model', 'in', 'particular', 'it', 'can', 'be', 'shown', 'that', 'the', 'hyperraman', 'boson', 'peak', 'arises', 'from', 'external', 'modes', 'that', 'correspond', 'mainly', 'to', 'librational', 'motions', 'of', 'rigid', 'boroxol', 'rings']] | [-0.09725458396529905, 0.14461922674606534, -0.1312751169713341, -0.009145499753437682, -0.04340520570985973, -0.12245405243646185, 0.017615299820053307, 0.44971228890459647, -0.26483968437903305, -0.24656083389312367, 0.07426845633943396, -0.3007517247037454, -0.13112864216831935, 0.19289417313517665, -0.011898921739140695, 0.009331593025391076, 0.07092222894160924, -0.012968317198101431, 0.01537980290595442, -0.17485045116733422, 0.2698545929504855, 0.030825819936580956, 0.2919137476287274, 0.05588684153785421, 0.0449526212442751, 0.01719800451114266, -0.0025044868763705545, 0.02953683461104943, -0.08960246091704573, 0.1042161291909658, 0.22896231837115588, -0.00788552191542377, 0.13458001996067734, -0.42482555824839935, -0.20318722052616067, 0.07497094374213537, 0.17640050247692587, 0.10843336368402974, -0.048666581088169056, -0.27513556444848125, 0.0696948763850907, -0.11564061273185705, -0.12922380459812385, -0.08784529051097872, -0.00179240014933219, 0.022353261105970225, -0.23194917989894748, 0.0635847404059446, 0.024600001295435835, 0.09061780870384113, -0.08267832990862768, -0.10220221559178423, -0.10651640050822277, 0.039476863045076076, 0.047876626730695454, 0.0033553576901216397, 0.16331976803088433, -0.04355699030830609, -0.10744067903512834, 0.4108433170794425, -0.09165268144517374, -0.10534355260527016, 0.2029670961333481, -0.18982869445409795, -0.11505860844309526, 0.20149451555070383, 0.1049218297068199, 0.102649929033677, -0.15402217573401603, 0.07951680500594772, -0.07691189126026901, 0.20523737205869771, 0.10860390521966937, 0.058877122683704576, 0.223554874855009, 0.1554219035282255, -0.019729017960757614, 0.13759691698677753, -0.131615801603237, 0.0019966406663033094, -0.25581361320589413, -0.07866854328577491, -0.18301056125379878, 0.06136484736701029, -0.011340218901419907, -0.121995575303696, 0.372753041960426, 0.0827846106205305, 0.21732320964590393, -0.046865991954374214, 0.26856753903187136, 0.15264183186429198, 0.13737602285321124, 0.01915077641817995, 0.3174334405180575, 0.1716290511381389, 0.03493938344234431, -0.2534260221211959, 0.021668379041577944, 0.00016988517547195607] |
711.1783 | Electromagnetic Fields on Fractals | Fractals are measurable metric sets with non-integer Hausdorff dimensions. If
electric and magnetic fields are defined on fractal and do not exist outside of
fractal in Euclidean space, then we can use the fractional generalization of
the integral Maxwell equations. The fractional integrals are considered as
approximations of integrals on fractals. We prove that fractal can be described
as a specific medium.
| hep-th | fractals are measurable metric sets with noninteger hausdorff dimensions if electric and magnetic fields are defined on fractal and do not exist outside of fractal in euclidean space then we can use the fractional generalization of the integral maxwell equations the fractional integrals are considered as approximations of integrals on fractals we prove that fractal can be described as a specific medium | [['fractals', 'are', 'measurable', 'metric', 'sets', 'with', 'noninteger', 'hausdorff', 'dimensions', 'if', 'electric', 'and', 'magnetic', 'fields', 'are', 'defined', 'on', 'fractal', 'and', 'do', 'not', 'exist', 'outside', 'of', 'fractal', 'in', 'euclidean', 'space', 'then', 'we', 'can', 'use', 'the', 'fractional', 'generalization', 'of', 'the', 'integral', 'maxwell', 'equations', 'the', 'fractional', 'integrals', 'are', 'considered', 'as', 'approximations', 'of', 'integrals', 'on', 'fractals', 'we', 'prove', 'that', 'fractal', 'can', 'be', 'described', 'as', 'a', 'specific', 'medium']] | [-0.14182305373551865, 0.17352076293525076, -0.08145061943439706, 0.16068835774316423, -0.11509682859985097, -0.07701119815840596, -0.039755463870542664, 0.37418258598735255, -0.2698922908654617, -0.21923541077112238, 0.11629699349906596, -0.3095050201631121, -0.19591370765720645, 0.22643375806247576, -0.085821385510386, 0.05628684718131779, -0.044095184053144144, 0.0518045358645219, -0.06507783913759575, -0.2514713438708455, 0.3940922076994133, -0.09457142769749607, 0.19293930845695637, 0.05190580863235218, 0.09479481545877794, -0.06456134784516067, -0.051353603301029054, 0.13495845729888853, -0.1551615949838672, 0.0874950039170442, 0.2150604551237437, 0.0372466332496955, 0.2057797263950042, -0.425245484036784, -0.24579757749433478, 0.13084745945713122, 0.18840735750423082, -0.005630723696442381, 0.06574981878211181, -0.3058233565440582, 0.05937573858236353, -0.0876517814523991, -0.2034062823325756, -0.17205675451024885, 0.060834785540317814, 0.10765314398093088, -0.24122994695039046, 0.09042681832121865, 0.05459942552448821, 0.05216647544993095, -0.13613551642535435, -0.11184561115148808, -0.04765281337313354, 0.0822773341224679, -0.027229261978889904, 0.02191670154852252, 0.11633492726832628, -0.04487292656314469, -0.16767247476344627, 0.3606865465520851, -0.061274565189265676, -0.3724013193840942, 0.169690269916769, -0.26019266329240054, -0.11477839582479529, 0.09669601628857274, 0.18986065077385114, 0.1176239182691901, -0.12311854923985177, 0.18387873159665633, -0.0809267170186485, 0.08157040226186867, 0.15102980417319603, 0.0709262917854733, 0.14079764893939417, 0.10396617572874792, 0.08831605414724758, 0.14345696545018244, -0.022868513092098218, -0.11121681894386007, -0.3497978236165739, -0.15845432375828106, -0.26356907387173945, 0.1107677550906139, -0.175455851938046, -0.2563666622905481, 0.2808382859408495, 0.11194951545034963, 0.1293990398727117, 0.039424019054539745, 0.18625203970699541, 0.19630133387287177, 0.09461997145967137, 0.09881622450906903, 0.1550824063484587, 0.11139732500493166, 0.09404189735951443, -0.09130301814424925, -0.024511988252221097, 0.18272008410384577] |
711.1784 | Systemic risk in a network fragility model analyzed with probability
density evolution of persistent random walks | We study the mean field approximation of a recent model of cascades on
networks relevant to the investigation of systemic risk control in financial
networks. In the model, the hypothesis of a trend reinforcement in the
stochastic process describing the fragility of the nodes, induces a trade-off
in the systemic risk with respect to the density of the network. Increasing the
average link density, the network is first less exposed to systemic risk, while
above an intermediate value the systemic risk increases. This result offers a
simple explanation for the emergence of instabilities in financial systems that
get increasingly interwoven. In this paper, we study the dynamics of the
probability density function of the average fragility. This converges to a
unique stable distribution which can be computed numerically and can be used to
estimate the systemic risk as a function of the parameters of the model.
| physics.soc-ph | we study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks in the model the hypothesis of a trend reinforcement in the stochastic process describing the fragility of the nodes induces a tradeoff in the systemic risk with respect to the density of the network increasing the average link density the network is first less exposed to systemic risk while above an intermediate value the systemic risk increases this result offers a simple explanation for the emergence of instabilities in financial systems that get increasingly interwoven in this paper we study the dynamics of the probability density function of the average fragility this converges to a unique stable distribution which can be computed numerically and can be used to estimate the systemic risk as a function of the parameters of the model | [['we', 'study', 'the', 'mean', 'field', 'approximation', 'of', 'a', 'recent', 'model', 'of', 'cascades', 'on', 'networks', 'relevant', 'to', 'the', 'investigation', 'of', 'systemic', 'risk', 'control', 'in', 'financial', 'networks', 'in', 'the', 'model', 'the', 'hypothesis', 'of', 'a', 'trend', 'reinforcement', 'in', 'the', 'stochastic', 'process', 'describing', 'the', 'fragility', 'of', 'the', 'nodes', 'induces', 'a', 'tradeoff', 'in', 'the', 'systemic', 'risk', 'with', 'respect', 'to', 'the', 'density', 'of', 'the', 'network', 'increasing', 'the', 'average', 'link', 'density', 'the', 'network', 'is', 'first', 'less', 'exposed', 'to', 'systemic', 'risk', 'while', 'above', 'an', 'intermediate', 'value', 'the', 'systemic', 'risk', 'increases', 'this', 'result', 'offers', 'a', 'simple', 'explanation', 'for', 'the', 'emergence', 'of', 'instabilities', 'in', 'financial', 'systems', 'that', 'get', 'increasingly', 'interwoven', 'in', 'this', 'paper', 'we', 'study', 'the', 'dynamics', 'of', 'the', 'probability', 'density', 'function', 'of', 'the', 'average', 'fragility', 'this', 'converges', 'to', 'a', 'unique', 'stable', 'distribution', 'which', 'can', 'be', 'computed', 'numerically', 'and', 'can', 'be', 'used', 'to', 'estimate', 'the', 'systemic', 'risk', 'as', 'a', 'function', 'of', 'the', 'parameters', 'of', 'the', 'model']] | [-0.13625040024595514, 0.06055933813501089, -0.12460700476586768, 0.09165177938306542, -0.0033963983495758003, -0.07342205995897928, 0.08739938568531165, 0.35945748615601697, -0.2950478900185697, -0.2727495146558894, 0.09422285346535979, -0.28006336622718364, -0.17652541728034832, 0.13638181786518544, -0.08542241326418437, 0.05123172826707771, 0.004544237064044565, 0.044412276554495506, -0.018204366856841497, -0.202215298707278, 0.31386615825523556, 0.12254115971034929, 0.30644896441483743, 0.051865413404637566, 0.09106865545658216, -0.04152327266279353, 0.009993186899881861, 0.044584405109324585, -0.12106584154623792, 0.17920768523129493, 0.23930735439094014, 0.13850130817585, 0.3887873216442866, -0.37612416085863665, -0.23677708991892535, 0.15056259219840884, 0.10870190365985515, 0.07787299662755087, 0.020780424557926058, -0.2669966729415249, 0.04012900526150551, -0.22788875936753794, -0.1743127532328849, -0.029422530885275505, 0.01673544465312224, 0.04395295959245095, -0.27198638450609497, 0.10391537337053618, 0.014890913462444935, 0.0591349258711115, -0.08307297526833231, -0.0678255681509841, -0.04838204530405825, 0.13428249975908801, 0.1067694471277893, 0.04121601537558926, 0.15462897571556475, -0.18235748778703328, -0.0930746453367684, 0.3483687099324514, -0.09692621510475874, -0.1627594576638243, 0.1654537771126791, -0.1252211017058907, -0.12205118395181609, 0.14254685284646407, 0.255601890704097, 0.06282815978900619, -0.16444432508991394, -0.004574652449052449, -0.020115571960086027, 0.15777648103340491, 0.0007144340237423981, -0.005426134124768209, 0.16801700918546125, 0.22118954220467746, 0.11829901941452328, 0.14883270254518122, -0.08801426599599574, -0.1391480946945256, -0.27585537035069235, -0.16909919127707101, -0.13294519697099108, 0.0426917467728793, -0.13415665958666367, -0.1812683337444618, 0.4135187591796052, 0.19568738870781988, 0.23248822065405164, 0.09769910385701423, 0.27360833431147547, 0.17556048093773488, 0.034023648242734066, 0.05534578033735695, 0.23384980570320804, 0.10224909066822227, 0.06936626732572658, -0.20644700417792655, 0.17988263460734144, -0.012355491852272965] |
711.1785 | Electrochemical lithium intercalation in nanosized manganese oxides | X-ray amorphous manganese oxides were prepared by reduction of sodium
permanganate by lithium iodide in aqueous medium (MnOx-I) and by decomposition
of manganese carbonate at moderate temperature (MnOx-C). TEM showed that these
materials are not amorphous, but nanostructured, with a prominent spinel
substructure in MnOx-C. These materials intercalate lithium with capacities up
to 200 mAh/g at first cycle (potential window 1.8-4.3 V) and 175 mAh/g at 100th
cycle. Best performances for MnOx-C are obtained with cobalt doping. Potential
electrochemical spectroscopy shows that the initial discharge induces a 2-phase
transformation in MnOx-C phases, but not in MnOx-I ones. EXAFS and XANES
confirm the participation of manganese in the redox process, with variations in
local structure much smaller than in known long-range crystallized manganese
oxides. X-ray absorption spectroscopy also shows that cobalt in MnOx-C is
divalent and does not participate in the electrochemical reaction.
| cond-mat.mtrl-sci | xray amorphous manganese oxides were prepared by reduction of sodium permanganate by lithium iodide in aqueous medium mnoxi and by decomposition of manganese carbonate at moderate temperature mnoxc tem showed that these materials are not amorphous but nanostructured with a prominent spinel substructure in mnoxc these materials intercalate lithium with capacities up to 200 mahg at first cycle potential window 1843 v and 175 mahg at 100th cycle best performances for mnoxc are obtained with cobalt doping potential electrochemical spectroscopy shows that the initial discharge induces a 2phase transformation in mnoxc phases but not in mnoxi ones exafs and xanes confirm the participation of manganese in the redox process with variations in local structure much smaller than in known longrange crystallized manganese oxides xray absorption spectroscopy also shows that cobalt in mnoxc is divalent and does not participate in the electrochemical reaction | [['xray', 'amorphous', 'manganese', 'oxides', 'were', 'prepared', 'by', 'reduction', 'of', 'sodium', 'permanganate', 'by', 'lithium', 'iodide', 'in', 'aqueous', 'medium', 'mnoxi', 'and', 'by', 'decomposition', 'of', 'manganese', 'carbonate', 'at', 'moderate', 'temperature', 'mnoxc', 'tem', 'showed', 'that', 'these', 'materials', 'are', 'not', 'amorphous', 'but', 'nanostructured', 'with', 'a', 'prominent', 'spinel', 'substructure', 'in', 'mnoxc', 'these', 'materials', 'intercalate', 'lithium', 'with', 'capacities', 'up', 'to', '200', 'mahg', 'at', 'first', 'cycle', 'potential', 'window', '1843', 'v', 'and', '175', 'mahg', 'at', '100th', 'cycle', 'best', 'performances', 'for', 'mnoxc', 'are', 'obtained', 'with', 'cobalt', 'doping', 'potential', 'electrochemical', 'spectroscopy', 'shows', 'that', 'the', 'initial', 'discharge', 'induces', 'a', '2phase', 'transformation', 'in', 'mnoxc', 'phases', 'but', 'not', 'in', 'mnoxi', 'ones', 'exafs', 'and', 'xanes', 'confirm', 'the', 'participation', 'of', 'manganese', 'in', 'the', 'redox', 'process', 'with', 'variations', 'in', 'local', 'structure', 'much', 'smaller', 'than', 'in', 'known', 'longrange', 'crystallized', 'manganese', 'oxides', 'xray', 'absorption', 'spectroscopy', 'also', 'shows', 'that', 'cobalt', 'in', 'mnoxc', 'is', 'divalent', 'and', 'does', 'not', 'participate', 'in', 'the', 'electrochemical', 'reaction']] | [-0.04628926742547225, 0.19917190832039006, 0.016853077009047226, -0.04599826063379708, 0.03518752364455153, -0.18925191045289846, 0.10840637922930203, 0.49303316507193684, -0.21098730870666613, -0.31744979610733637, -0.006356714786660167, -0.38531536879620965, -0.09677456965730291, 0.14800667722555375, -0.013605332511256066, -0.01190390514893283, 0.02321798874152382, -0.09157803165223852, -0.07696742997772778, -0.25002217454092057, 0.1849649719552224, 0.07666340700799612, 0.27929902881745705, 0.10602290810440941, 0.0023266018863278273, -0.049220751317740556, 0.12100612633298788, 0.006496267935944547, -0.12856179900485612, 0.05646743702454318, 0.30069317369514126, -0.07220167795651787, 0.16945186816658422, -0.4672330788490798, -0.2535409317041995, -0.013109039645072528, 0.10824445622915355, 0.07393362078641494, -0.14311223536421605, -0.19526037384199796, 0.09057607671929349, -0.09546980680562824, -0.0924191397242918, -0.06256972456002514, 0.013939208612381983, 0.029428676837760445, -0.23194827859184416, 0.10614601514295809, 0.023188873957976593, 0.15994224656480466, -0.1880197802344136, -0.21853782749138503, -0.10726903920001585, -0.002567627303061082, -0.005676521978503522, 0.011691218990687676, 0.22664787803890465, -0.03263240853967748, -0.06344418661843101, 0.38156082180978584, -0.06767130141842041, 0.03036328721389496, 0.18337180331791583, -0.2237764706437538, -0.13112568584264075, 0.2580703915274374, 0.045113425876060834, 0.11582854391149372, -0.19380077319730596, 0.02782708708793193, 0.025704040336121114, 0.25806790543385116, 0.1432643353590648, 0.05097021237216729, 0.17599899647003642, 0.20760313802894553, 0.004953897323646992, 0.1244247531574454, -0.10088713052475293, 0.028095305455084756, -0.10404135521983715, -0.2305229296304768, -0.1437470698293647, 0.0645281053285354, -0.09593622766312869, -0.20382902282038903, 0.2979319324288115, 0.05620828886426778, 0.10013707063877754, -0.11709118560090553, 0.17696966857334478, -0.018925284209708088, 0.0865003800064848, 0.019072465129571853, 0.26172316842879967, 0.16750103731726784, 0.21328680318438534, -0.2889776907177816, 0.18922276648344377, 0.004775090906903041] |
711.1786 | A Mobile Computing Architecture for Numerical Simulation | The domain of numerical simulation is a place where the parallelization of
numerical code is common. The definition of a numerical context means the
configuration of resources such as memory, processor load and communication
graph, with an evolving feature: the resources availability. A feature is often
missing: the adaptability. It is not predictable and the adaptable aspect is
essential. Without calling into question these implementations of these codes,
we create an adaptive use of these implementations. Because the execution has
to be driven by the availability of main resources, the components of a numeric
computation have to react when their context changes. This paper offers a new
architecture, a mobile computing architecture, based on mobile agents and
JavaSpace. At the end of this paper, we apply our architecture to several case
studies and obtain our first results.
| cs.DC | the domain of numerical simulation is a place where the parallelization of numerical code is common the definition of a numerical context means the configuration of resources such as memory processor load and communication graph with an evolving feature the resources availability a feature is often missing the adaptability it is not predictable and the adaptable aspect is essential without calling into question these implementations of these codes we create an adaptive use of these implementations because the execution has to be driven by the availability of main resources the components of a numeric computation have to react when their context changes this paper offers a new architecture a mobile computing architecture based on mobile agents and javaspace at the end of this paper we apply our architecture to several case studies and obtain our first results | [['the', 'domain', 'of', 'numerical', 'simulation', 'is', 'a', 'place', 'where', 'the', 'parallelization', 'of', 'numerical', 'code', 'is', 'common', 'the', 'definition', 'of', 'a', 'numerical', 'context', 'means', 'the', 'configuration', 'of', 'resources', 'such', 'as', 'memory', 'processor', 'load', 'and', 'communication', 'graph', 'with', 'an', 'evolving', 'feature', 'the', 'resources', 'availability', 'a', 'feature', 'is', 'often', 'missing', 'the', 'adaptability', 'it', 'is', 'not', 'predictable', 'and', 'the', 'adaptable', 'aspect', 'is', 'essential', 'without', 'calling', 'into', 'question', 'these', 'implementations', 'of', 'these', 'codes', 'we', 'create', 'an', 'adaptive', 'use', 'of', 'these', 'implementations', 'because', 'the', 'execution', 'has', 'to', 'be', 'driven', 'by', 'the', 'availability', 'of', 'main', 'resources', 'the', 'components', 'of', 'a', 'numeric', 'computation', 'have', 'to', 'react', 'when', 'their', 'context', 'changes', 'this', 'paper', 'offers', 'a', 'new', 'architecture', 'a', 'mobile', 'computing', 'architecture', 'based', 'on', 'mobile', 'agents', 'and', 'javaspace', 'at', 'the', 'end', 'of', 'this', 'paper', 'we', 'apply', 'our', 'architecture', 'to', 'several', 'case', 'studies', 'and', 'obtain', 'our', 'first', 'results']] | [-0.15777315259573002, 0.030547720755267245, -0.07502971577581347, 0.0037201796649777167, -0.09666153478696395, -0.14618202409816577, 0.05123573039172163, 0.4068293853334206, -0.2847547742353259, -0.327658795618096, 0.1336769546238322, -0.2155186100589002, -0.15609910738353125, 0.20511400092886212, -0.099431056104496, 0.04581265532247284, 0.10680483024129096, 0.01846624132560785, -0.02119962788299959, -0.2652292239570884, 0.3151131506516215, 0.09721309743455255, 0.2869337778606945, 0.05007699884214055, 0.057095761391204126, -0.045112994304337704, -0.052061129316879326, -0.006570357370519024, -0.0689411340658005, 0.18825977950607065, 0.26302209129789844, 0.18720660741125947, 0.3472847541355911, -0.4540376883506885, -0.19971295733172584, 0.0760107191544033, 0.155404581256923, 0.11487055675345748, -0.06119324527304236, -0.25038433130933246, 0.0963618008810205, -0.2056871328900075, -0.07470536239184987, -0.1004694025768378, -0.007132589919766521, 0.026874535917372936, -0.2764196757480557, -0.04307316355270279, 0.05548019588134005, 0.05565183807630092, -0.03078398228664061, -0.056714053724563736, 0.02402301407782408, 0.1701623186846144, 0.007118121102822068, 0.020807599624865416, 0.12809281985220664, -0.11599476565264494, -0.13386914777391426, 0.402412414934267, 0.03365900506511988, -0.22819366714204936, 0.22679800894077154, -0.026576638677986066, -0.15284348211271742, 0.06954623671652585, 0.2019577227808494, 0.0885508290512542, -0.1548938493417475, 0.0653696742976589, 0.0006131198777652838, 0.18946740679059396, 0.018284308672745657, 0.061009534011485386, 0.18399113446117982, 0.2552379497433054, 0.0600707698488751, 0.15542478411995997, -0.06673497755957, -0.11965719792608391, -0.2610588834299158, -0.18593952576766776, -0.21231760272605563, 0.0033467087556774086, -0.06293958352805074, -0.16211485783295596, 0.40280494499294195, 0.20675829332321882, 0.17442055714662488, 0.0899575848118676, 0.3871360774946344, 0.08020992668239427, 0.11553912189179648, 0.1351001674466876, 0.13728706268182791, 0.04213907801621484, 0.14414402856559985, -0.1979071506511365, 0.10149532655829235, 0.004084154597127482] |
711.1787 | Coulomb Blockade of a Three-terminal Quantum Dot | We study an interacting single-level quantum dot weakly coupled to three
electrodes. When two electrodes are biased by voltages with opposite
polarities, while keeping the third lead (the stem) grounded, the current
through the stem is a measure of electron-hole asymmetry of the dot. In this
setup we calculate the stem current for both metallic and ferromagnetic
(collinearly polarized) leads and discuss how the three-terminal device gives
additional information compared to the usual two-terminal setup. We calculate
both the sequential and cotunneling contribution for the currents. For the
latter part we include a regularization procedure for the cotunneling current,
which enables us to also describe the behavior at the charge degeneracy points.
| cond-mat.mes-hall | we study an interacting singlelevel quantum dot weakly coupled to three electrodes when two electrodes are biased by voltages with opposite polarities while keeping the third lead the stem grounded the current through the stem is a measure of electronhole asymmetry of the dot in this setup we calculate the stem current for both metallic and ferromagnetic collinearly polarized leads and discuss how the threeterminal device gives additional information compared to the usual twoterminal setup we calculate both the sequential and cotunneling contribution for the currents for the latter part we include a regularization procedure for the cotunneling current which enables us to also describe the behavior at the charge degeneracy points | [['we', 'study', 'an', 'interacting', 'singlelevel', 'quantum', 'dot', 'weakly', 'coupled', 'to', 'three', 'electrodes', 'when', 'two', 'electrodes', 'are', 'biased', 'by', 'voltages', 'with', 'opposite', 'polarities', 'while', 'keeping', 'the', 'third', 'lead', 'the', 'stem', 'grounded', 'the', 'current', 'through', 'the', 'stem', 'is', 'a', 'measure', 'of', 'electronhole', 'asymmetry', 'of', 'the', 'dot', 'in', 'this', 'setup', 'we', 'calculate', 'the', 'stem', 'current', 'for', 'both', 'metallic', 'and', 'ferromagnetic', 'collinearly', 'polarized', 'leads', 'and', 'discuss', 'how', 'the', 'threeterminal', 'device', 'gives', 'additional', 'information', 'compared', 'to', 'the', 'usual', 'twoterminal', 'setup', 'we', 'calculate', 'both', 'the', 'sequential', 'and', 'cotunneling', 'contribution', 'for', 'the', 'currents', 'for', 'the', 'latter', 'part', 'we', 'include', 'a', 'regularization', 'procedure', 'for', 'the', 'cotunneling', 'current', 'which', 'enables', 'us', 'to', 'also', 'describe', 'the', 'behavior', 'at', 'the', 'charge', 'degeneracy', 'points']] | [-0.13516269209295778, 0.12608923541548783, -0.027338792336584965, 0.050461814165048836, -0.02150762495460055, -0.20518627389433927, 0.05828828186765479, 0.36008131990508574, -0.26826856744342614, -0.2662029273342341, -0.006860098636285069, -0.33154246777329327, -0.09838451610994525, 0.19771653416267196, -0.022215967615401105, -0.04770143956056927, 0.018635037018352056, -0.02361529936648107, -0.04311144900358548, -0.19114954255720867, 0.3322970814271165, -0.011312141689164232, 0.35200279933217515, 0.09976337640962031, 0.08209741549632911, 0.03535855607021533, 0.020793136774695346, 0.02198761116181101, -0.0903736353461032, 0.08691850218123623, 0.22704962048945682, -0.05468861331298415, 0.2113088009854047, -0.5061767360395086, -0.09974106488100785, 0.01973717752428326, 0.12171024220047652, 0.17591789606688377, -0.024732248476149316, -0.24853595937435916, 0.04247666961912598, -0.16725819863079647, -0.09450546960995, -0.08092775909712405, -0.0817106430102805, -0.004581935791585627, -0.29513941736825344, 0.0885261506126491, 0.05818730345760871, -0.029286109534690956, -0.0016964464489969292, -0.07875142259789365, -0.00342126124139343, 0.14347858703201513, 0.02830111488791382, 0.0045529006466884835, 0.20756618535961024, -0.12745229308867628, -0.14819474492521426, 0.28944005619268864, -0.0508628055540612, -0.1984885253217986, 0.16840077065197484, -0.19689098143135197, -0.04988027893289525, 0.10188832712343096, 0.10740077841910534, 0.0853503712694094, -0.19157402558175818, 0.06472192880807727, 0.008885324624965765, 0.09421930075664672, 0.0271614153025439, 0.041609572882797305, 0.2567079966372278, 0.1716647281573387, 0.07535611283050717, 0.1759863288815333, -0.15047626849679677, -0.11391498888510146, -0.2952910564698478, -0.18415840729306052, -0.13043898851901758, 0.06262450310168788, -0.030113793622279315, -0.17172581920333738, 0.4551952364189284, 0.18391999167423428, 0.20611569410539232, -0.003842957742952941, 0.33009681056552964, 0.15896381679704064, 0.05181150491054203, -0.00352763165691223, 0.24666525485476345, 0.18259934492484067, 0.10984006804106425, -0.3324274280811161, 0.03144669282482937, -0.020739629818958098] |
711.1788 | Product ecodesign and materials: current status and future prospects | The aim of this paper is to discuss the current status of ecodesign in the
industry and its future implications for materials. There is today more and
more focus on the environmental impacts of products during their whole life
cycle. In particular, ecodesign aims at integrating environmental aspects
during the product's design process as any other criterion, in order to reduce
the life cycle impacts. Although a lot of product environmental impact
assessment and Design for Environment tools already exist, environmental
aspects are unfortunately rarely routinely integrated into product development
process in the industry. This is mainly due to the fact that current ecodesign
tools are little adapted to designers' practices, requirements and
competencies. After the sequential and DfX paradigms, design of products is
today maturing into Integrated Design, where multiple points of views and
expertise have to be considered at the same time to progressively define the
product.
| physics.class-ph | the aim of this paper is to discuss the current status of ecodesign in the industry and its future implications for materials there is today more and more focus on the environmental impacts of products during their whole life cycle in particular ecodesign aims at integrating environmental aspects during the products design process as any other criterion in order to reduce the life cycle impacts although a lot of product environmental impact assessment and design for environment tools already exist environmental aspects are unfortunately rarely routinely integrated into product development process in the industry this is mainly due to the fact that current ecodesign tools are little adapted to designers practices requirements and competencies after the sequential and dfx paradigms design of products is today maturing into integrated design where multiple points of views and expertise have to be considered at the same time to progressively define the product | [['the', 'aim', 'of', 'this', 'paper', 'is', 'to', 'discuss', 'the', 'current', 'status', 'of', 'ecodesign', 'in', 'the', 'industry', 'and', 'its', 'future', 'implications', 'for', 'materials', 'there', 'is', 'today', 'more', 'and', 'more', 'focus', 'on', 'the', 'environmental', 'impacts', 'of', 'products', 'during', 'their', 'whole', 'life', 'cycle', 'in', 'particular', 'ecodesign', 'aims', 'at', 'integrating', 'environmental', 'aspects', 'during', 'the', 'products', 'design', 'process', 'as', 'any', 'other', 'criterion', 'in', 'order', 'to', 'reduce', 'the', 'life', 'cycle', 'impacts', 'although', 'a', 'lot', 'of', 'product', 'environmental', 'impact', 'assessment', 'and', 'design', 'for', 'environment', 'tools', 'already', 'exist', 'environmental', 'aspects', 'are', 'unfortunately', 'rarely', 'routinely', 'integrated', 'into', 'product', 'development', 'process', 'in', 'the', 'industry', 'this', 'is', 'mainly', 'due', 'to', 'the', 'fact', 'that', 'current', 'ecodesign', 'tools', 'are', 'little', 'adapted', 'to', 'designers', 'practices', 'requirements', 'and', 'competencies', 'after', 'the', 'sequential', 'and', 'dfx', 'paradigms', 'design', 'of', 'products', 'is', 'today', 'maturing', 'into', 'integrated', 'design', 'where', 'multiple', 'points', 'of', 'views', 'and', 'expertise', 'have', 'to', 'be', 'considered', 'at', 'the', 'same', 'time', 'to', 'progressively', 'define', 'the', 'product']] | [-0.0766933114336641, 0.10527191409566158, -0.057607586965927444, 0.058667629530725435, -0.0793155167195571, -0.07636829191231287, 0.037693301963482376, 0.3950994176002557, -0.2599864872297485, -0.32214791351701166, 0.20371417147763723, -0.23771884216733227, -0.15507063221173897, 0.22295246170771202, -0.10963694101524533, 0.019106521264528043, 0.07293244152511126, 0.02300029211590104, -0.025603830347137663, -0.2700311327509382, 0.32219650106342046, 0.0992829145476122, 0.3204555383980299, 0.0675061117488916, 0.02576835603517091, -0.00630576316511021, -0.08900553220570487, -0.05478861663981197, -0.08582040012643974, 0.11479718554389957, 0.3266293109588375, 0.23058387419206344, 0.35479452185982824, -0.4883562632455122, -0.16937171927521993, 0.1303456344472982, 0.11609816723878201, 0.03556801439981733, -0.03268615182371179, -0.23311005363978396, 0.06219561014679142, -0.1995158059735026, -0.10430722735703442, -0.03566705109551549, 0.048349347591381396, -0.014545494487396622, -0.20087560545106187, -0.04372341696160452, 0.022497688760768447, 0.07453809479163997, -0.04724728696801443, -0.14748604392520334, -0.02287825570760557, 0.20868253540685214, 0.07913474584796822, -0.011893055450183734, 0.19688627061640357, -0.15370402008532577, -0.1128170221118919, 0.4026609828708156, 0.015745666491386524, -0.16255173233381454, 0.22027579487782697, -0.12098287010327882, -0.17198616604401962, 0.07475387319866193, 0.22917210121151535, 0.03831933393461892, -0.19747752969421997, 0.06140103391231031, 0.1078851783934093, 0.12941570217477394, 0.04178268896203313, 0.05360859951579431, 0.22907065602656979, 0.2123934826157337, 0.06730173098004655, 0.09699593053704078, 0.012910764915993649, -0.10881213809444801, -0.2299980503337414, -0.19083596535352051, -0.09184216663253887, 0.025320681690975972, -0.026333774098752993, -0.14142766051406927, 0.39464998213361774, 0.1920971865953265, 0.12972567496733778, -0.01763228223902867, 0.34385066424909005, 0.06537124774521905, 0.10030749009222092, 0.02863286090108422, 0.22118785517874656, 0.05594313977561241, 0.16791904945514047, -0.1329575140793314, 0.1408389494098073, -0.019567995494694117] |
711.1789 | Renyi information for ergodic diffusion processes | In this paper we derive explicit formulas of the R\'enyi information, Shannon
entropy and Song measure for the invariant density of one dimensional ergodic
diffusion processes. In particular, the diffusion models considered include the
hyperbolic, the generalized inverse Gaussian, the Pearson, the exponential
familiy and a new class of skew-$t$ diffusions.
| math.PR math.ST stat.TH | in this paper we derive explicit formulas of the renyi information shannon entropy and song measure for the invariant density of one dimensional ergodic diffusion processes in particular the diffusion models considered include the hyperbolic the generalized inverse gaussian the pearson the exponential familiy and a new class of skewt diffusions | [['in', 'this', 'paper', 'we', 'derive', 'explicit', 'formulas', 'of', 'the', 'renyi', 'information', 'shannon', 'entropy', 'and', 'song', 'measure', 'for', 'the', 'invariant', 'density', 'of', 'one', 'dimensional', 'ergodic', 'diffusion', 'processes', 'in', 'particular', 'the', 'diffusion', 'models', 'considered', 'include', 'the', 'hyperbolic', 'the', 'generalized', 'inverse', 'gaussian', 'the', 'pearson', 'the', 'exponential', 'familiy', 'and', 'a', 'new', 'class', 'of', 'skewt', 'diffusions']] | [-0.05685463507531905, 0.11358037497848272, -0.07742801569767442, 0.16859395104213892, -0.004757124327999704, -0.17237722854513457, 0.016238082325834707, 0.27566320419895884, -0.2923428577453117, -0.16765035166606015, 0.09518762880607563, -0.290334455140492, -0.16904672220641492, 0.15807308886181928, -0.0812171905871604, 0.142189479907792, -0.031190180452540517, 0.07824431637338564, -0.08499464892106605, -0.21491325499635994, 0.3640863401130499, 0.046769700640830775, 0.28926707811507524, 0.03212928269788915, 0.1635660800315878, 0.012422890831515486, -0.1273337363849814, -0.019484380479244626, -0.25783318754139484, 0.18422110487396517, 0.2392968912367103, 0.0900195777397968, 0.22668001024216852, -0.3175083868497727, -0.28250150210863234, 0.13372169655985108, 0.09950516029608016, 0.06179922125210949, -0.020238962535764658, -0.2817475274935657, -0.05195016044137232, -0.19897823831906505, -0.13507693078295857, -0.06222615087879639, 0.025412685968273997, 0.05467139306825166, -0.30403258859672966, 0.18171934616368482, 0.1695944341812648, 0.05286750676767791, -0.03511755999323784, -0.12310515720324189, 0.029575970681274637, 0.08360281187639225, 0.040613708141095495, -0.07920844026832093, 0.08887775867775667, -0.07688559366886015, -0.13996701307740866, 0.29755224656386703, -0.12817055881297326, -0.28823748957730977, 0.1391610304514567, -0.17801183504143767, -0.1757777322028928, 0.10969500998765522, 0.21591505203761308, 0.1326130251674091, -0.20505667262363667, 0.14789966143001163, -0.05047433694833707, 0.0640437861667106, 0.07340149364123742, 0.03864754334676499, 0.09054563670218282, 0.056508619722901096, 0.08739554073305472, 0.19325847774013585, -0.09146943497562818, -0.17839115207065262, -0.30246176651003315, -0.2640683485158518, -0.20347775001188412, 0.10113757892566569, -0.18068116215712793, -0.20893261479910044, 0.37653020030691053, 0.10667009820919666, 0.15619685311856515, 0.13614957303027897, 0.21667045656153383, 0.20019838510323132, -0.03467640139883859, 0.10472114345640304, 0.11117014690649275, 0.20882465668460903, 0.0975761616365144, -0.18247292027808726, 0.07641546036500264, 0.1589759098429817] |
711.179 | Quantum unitary evolution of linearly polarized S^1\times S^2 and S^3
Gowdy models coupled to massless scalar fields | The purpose of this paper is to study in detail the problem of defining
unitary evolution for linearly polarized S^1 x S^2 and S^3 Gowdy models (in
vacuum or coupled to massless scalar fields). We show that in the Fock
quantizations of these systems no choice of acceptable complex structure leads
to a unitary evolution for the original variables. Nonetheless, unitarity can
be recovered by suitable redefinitions of the basic fields. These are dictated
by the time dependent conformal factors that appear in the description of the
standard deparameterized form of these models as field theories in certain
curved backgrounds. We also show the unitary equivalence of the Fock
quantizations obtained from the SO(3)-symmetric complex structures for which
the dynamics is unitarily implemented.
| gr-qc | the purpose of this paper is to study in detail the problem of defining unitary evolution for linearly polarized s1 x s2 and s3 gowdy models in vacuum or coupled to massless scalar fields we show that in the fock quantizations of these systems no choice of acceptable complex structure leads to a unitary evolution for the original variables nonetheless unitarity can be recovered by suitable redefinitions of the basic fields these are dictated by the time dependent conformal factors that appear in the description of the standard deparameterized form of these models as field theories in certain curved backgrounds we also show the unitary equivalence of the fock quantizations obtained from the so3symmetric complex structures for which the dynamics is unitarily implemented | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'study', 'in', 'detail', 'the', 'problem', 'of', 'defining', 'unitary', 'evolution', 'for', 'linearly', 'polarized', 's1', 'x', 's2', 'and', 's3', 'gowdy', 'models', 'in', 'vacuum', 'or', 'coupled', 'to', 'massless', 'scalar', 'fields', 'we', 'show', 'that', 'in', 'the', 'fock', 'quantizations', 'of', 'these', 'systems', 'no', 'choice', 'of', 'acceptable', 'complex', 'structure', 'leads', 'to', 'a', 'unitary', 'evolution', 'for', 'the', 'original', 'variables', 'nonetheless', 'unitarity', 'can', 'be', 'recovered', 'by', 'suitable', 'redefinitions', 'of', 'the', 'basic', 'fields', 'these', 'are', 'dictated', 'by', 'the', 'time', 'dependent', 'conformal', 'factors', 'that', 'appear', 'in', 'the', 'description', 'of', 'the', 'standard', 'deparameterized', 'form', 'of', 'these', 'models', 'as', 'field', 'theories', 'in', 'certain', 'curved', 'backgrounds', 'we', 'also', 'show', 'the', 'unitary', 'equivalence', 'of', 'the', 'fock', 'quantizations', 'obtained', 'from', 'the', 'so3symmetric', 'complex', 'structures', 'for', 'which', 'the', 'dynamics', 'is', 'unitarily', 'implemented']] | [-0.15826717889072692, 0.19007666212907895, -0.08146654550607006, 0.08870563053855354, -0.03489698159955139, -0.11378126381328557, -0.05673686858092442, 0.37204470654298377, -0.25355166316835015, -0.24091392462103953, 0.0736902127396391, -0.1887828790984018, -0.16103546991679302, 0.16050795186311007, -0.04091536815891542, 0.040590051970467333, 0.038533821889403755, 0.06392401270568371, -0.13816390345104954, -0.27120418607151303, 0.38966326672977547, 0.026427706607004126, 0.24681620027233914, -0.015481510487332092, 0.11360100246360147, 0.017473506133594528, -0.0140701708974453, 0.010912080431675039, -0.08614937604532286, 0.11060855546455103, 0.24514455219800063, 0.10640343133269287, 0.15858332014536652, -0.43569876684436226, -0.20630132727234102, 0.09484667830714365, 0.14155560725262556, 0.1051924642253756, 0.009498319658640076, -0.30840459828287725, 0.036395289268859515, -0.13032491929919982, -0.17258093699176863, -0.1102911362167054, -0.004017763861031007, -0.023971254590944183, -0.22849109956125796, 0.07361531552903135, 0.05743443089105734, 0.009973907741013824, -0.07350789783219618, -0.05095740231662625, -0.04602699031356752, 0.0857341955695112, 0.06735737750125004, 0.042686836756160106, 0.12684017216135574, -0.17488908193952488, -0.10666653762166427, 0.40724980769058067, -0.09597249834124393, -0.2558718838736536, 0.1525006053166661, -0.1550724131785848, -0.15401921256982942, 0.1051821117857244, 0.12218365116362892, 0.13458495650713037, -0.14669141053019577, 0.19431544108859575, -0.04512252350956792, 0.1304603889925269, 0.07311388278168028, 0.057201119574218445, 0.1952652066162356, 0.06825570934934815, 0.01679298380859257, 0.11184210975643066, 0.030566681028775324, -0.14013448470400844, -0.3841887086448146, -0.158284133974069, -0.0961106033424082, 0.12763267963920244, -0.09698660793982548, -0.16336157307695082, 0.4039625511599356, 0.12847214452749614, 0.18445303315311912, 0.03233757824731642, 0.2159205865591946, 0.1248863533496993, 0.07304842347644527, 0.04814678975343099, 0.2315691218842048, 0.17790504208410052, 0.022549959224255043, -0.20785695446912594, -0.05888640336981952, 0.07253214919833632] |
711.1791 | Obtaining the size distribution of fault gouges with polydisperse
bearings | We generalize the recent study of random space-filling bearings to a more
realistic situation, where the spacing offset varies randomly during the
space-filling procedure, and show that it reproduces well the
size-distributions observed in recent studies of real fault gouges. In
particular, we show that the fractal dimensions of random polydisperse bearings
sweep predominantly the low range of values in the spectrum of fractal
dimensions observed along real faults, which strengthen the evidence that
polydisperse bearings may explain the occurrence of seismic gaps in nature. In
addition, the influence of different distributions for the offset is studied
and we find that the uniform distribution is the best choice for reproducing
the size-distribution of fault gouges.
| cond-mat.dis-nn | we generalize the recent study of random spacefilling bearings to a more realistic situation where the spacing offset varies randomly during the spacefilling procedure and show that it reproduces well the sizedistributions observed in recent studies of real fault gouges in particular we show that the fractal dimensions of random polydisperse bearings sweep predominantly the low range of values in the spectrum of fractal dimensions observed along real faults which strengthen the evidence that polydisperse bearings may explain the occurrence of seismic gaps in nature in addition the influence of different distributions for the offset is studied and we find that the uniform distribution is the best choice for reproducing the sizedistribution of fault gouges | [['we', 'generalize', 'the', 'recent', 'study', 'of', 'random', 'spacefilling', 'bearings', 'to', 'a', 'more', 'realistic', 'situation', 'where', 'the', 'spacing', 'offset', 'varies', 'randomly', 'during', 'the', 'spacefilling', 'procedure', 'and', 'show', 'that', 'it', 'reproduces', 'well', 'the', 'sizedistributions', 'observed', 'in', 'recent', 'studies', 'of', 'real', 'fault', 'gouges', 'in', 'particular', 'we', 'show', 'that', 'the', 'fractal', 'dimensions', 'of', 'random', 'polydisperse', 'bearings', 'sweep', 'predominantly', 'the', 'low', 'range', 'of', 'values', 'in', 'the', 'spectrum', 'of', 'fractal', 'dimensions', 'observed', 'along', 'real', 'faults', 'which', 'strengthen', 'the', 'evidence', 'that', 'polydisperse', 'bearings', 'may', 'explain', 'the', 'occurrence', 'of', 'seismic', 'gaps', 'in', 'nature', 'in', 'addition', 'the', 'influence', 'of', 'different', 'distributions', 'for', 'the', 'offset', 'is', 'studied', 'and', 'we', 'find', 'that', 'the', 'uniform', 'distribution', 'is', 'the', 'best', 'choice', 'for', 'reproducing', 'the', 'sizedistribution', 'of', 'fault', 'gouges']] | [-0.12076093870640286, 0.14609231713187434, -0.053641632847163986, 0.07671647953962826, -0.015789332663964317, -0.0762088174931705, 0.03113064441991889, 0.3766683685390846, -0.2086540536388107, -0.2984765143842315, 0.06521291609590306, -0.2493953943495517, -0.18946428243576993, 0.19639437054309225, -0.07045020978573872, 0.05369565190820773, 0.027539526640548897, -0.014606080957404946, -0.03126649287245844, -0.234759238232737, 0.2828510680316907, 0.05184588251716417, 0.3249228694030772, 0.029344422750822875, 0.04106645969593006, 0.01882990881314744, -0.031043063297503344, 0.045116607079525355, -0.13839348425972275, 0.0690599913040743, 0.1883129817109717, 0.05854750433936715, 0.19423263091998905, -0.3901078377728877, -0.2594727274030447, 0.11762405686971286, 0.13895330796443411, 0.06561036245877166, -0.025473612525282713, -0.2232262385280236, 0.10744150722723292, -0.13354898921173552, -0.17439744124270004, -0.03715975258661353, 0.07152138230917246, 0.057254478976170975, -0.24662309274401353, 0.09770456251242886, 0.07270478940791572, 0.06616354703741228, -0.09975535341174058, -0.0932857186290557, -0.02899516434408724, 0.12257172408230278, 0.056280239824327116, 0.000142495680357451, 0.15219264957400888, -0.0855797541955405, -0.10863200001540067, 0.36455723478094393, -0.018894268657364276, -0.15463287741067294, 0.20696153515625906, -0.20930623904518458, -0.16145945976933707, 0.11200398982543013, 0.1854772327872722, 0.07955670926881873, -0.07920941853004954, 0.039254010785826604, -0.05169164957428027, 0.15469026881391587, 0.08729749313839104, -0.022891915136057397, 0.17404069953962512, 0.15172653111386233, 0.026289122600270356, 0.18373472837974195, -0.13079534911591073, -0.13631765777650087, -0.2643548041825061, -0.13351565628595974, -0.20893087453087386, -0.004362765096289956, -0.13895686650218483, -0.2040025554050732, 0.3781637280612536, 0.1821870034975607, 0.25799305338118955, 0.04998353866799532, 0.2630959300972197, 0.07635220047693862, 0.05682818303289621, 0.06425026328424396, 0.2490551211911699, 0.07428795086300892, 0.08291254256568525, -0.19649666298342788, 0.1008620958795528, -0.021379292634842187] |
711.1792 | Overcoming the Circular Problem for \gamma-ray Bursts in Cosmological
Global Fitting Analysis | Due to the lack of low redshift long Gamma-Ray Bursts (GRBs), the circular
problem has been a severe obstacle for using GRBs as cosmological candles. In
this paper, we present a new method to deal with such a problem in MCMC global
fitting analysis. Assuming that a certain type of correlations between
different observables exists in a subsample of GRBs, for the parameters
involved in the correlation relation, we treat them as free parameters and
determine them simultaneously with cosmological parameters through MCMC
analysis on GRB data together with other observational data. Then the circular
problem is naturally eliminated in this procedure. We take the Ghirlanda
relation as an example while keeping in mind the debate about its physical
validity. Together with SNe Ia, WMAP and SDSS data, we include 27 GRBs with the
reported Ghirlanda relation in our study, and perform MCMC global fitting. We
consider the $\Lambda$CDM model and dynamical dark energy models. In each case,
in addition to the constraints on the relevant cosmological parameters, we
obtain the best fit values as well as the distributions of the correlation
parameters $A$ and $C$. We find that the observational data sets other than
GRBs can affect $A$ and $C$ considerably through their degeneracies with the
cosmological parameters. The results on $A$ and $C$ for different cosmological
models are in well agreement within $1\sigma$ range. The best fit value of $A$
in all models being analyzed is $A\sim 1.53$ with $\sigma \sim 0.08$. For $C$,
we have the best value in the range of $0.94-0.98$ with $\sigma\sim 0.1$. It is
also noted that the distributions of $A$ and $C$ are generally broader than the
priors used in many studies in literature. (Abriged)
| astro-ph | due to the lack of low redshift long gammaray bursts grbs the circular problem has been a severe obstacle for using grbs as cosmological candles in this paper we present a new method to deal with such a problem in mcmc global fitting analysis assuming that a certain type of correlations between different observables exists in a subsample of grbs for the parameters involved in the correlation relation we treat them as free parameters and determine them simultaneously with cosmological parameters through mcmc analysis on grb data together with other observational data then the circular problem is naturally eliminated in this procedure we take the ghirlanda relation as an example while keeping in mind the debate about its physical validity together with sne ia wmap and sdss data we include 27 grbs with the reported ghirlanda relation in our study and perform mcmc global fitting we consider the lambdacdm model and dynamical dark energy models in each case in addition to the constraints on the relevant cosmological parameters we obtain the best fit values as well as the distributions of the correlation parameters a and c we find that the observational data sets other than grbs can affect a and c considerably through their degeneracies with the cosmological parameters the results on a and c for different cosmological models are in well agreement within 1sigma range the best fit value of a in all models being analyzed is asim 153 with sigma sim 008 for c we have the best value in the range of 094098 with sigmasim 01 it is also noted that the distributions of a and c are generally broader than the priors used in many studies in literature abriged | [['due', 'to', 'the', 'lack', 'of', 'low', 'redshift', 'long', 'gammaray', 'bursts', 'grbs', 'the', 'circular', 'problem', 'has', 'been', 'a', 'severe', 'obstacle', 'for', 'using', 'grbs', 'as', 'cosmological', 'candles', 'in', 'this', 'paper', 'we', 'present', 'a', 'new', 'method', 'to', 'deal', 'with', 'such', 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711.1793 | Detection of transplanckian effects in the cosmic microwave background | Quantum gravity effects are expected to modify the primordial density
fluctuations produced during inflation and leave their imprint on the cosmic
microwave background observed today. We present a new analysis discussing
whether these effects are detectable, considering both currently available data
and simulated results from an optimal CMB experiment. We find that the WMAP
(Wilkinson Microwave Anisotropy Probe) data show no evidence for the particular
signature considered in this work but give an upper bound on the parameters of
the model. However, a hypothetical experiment shows that with proper data, the
trans-Planckian effects should be detectable through alternate sampling
methods. This fuzzy conclusion is a result of the nature of the oscillations,
since they give rise to a likelihood hypersurface riddled with local maxima. A
simple Bayesian analysis shows no significant evidence for the simulated data
to prefer a trans-Planckian model. Conventional Markov chain Monte Carlo (MCMC)
methods are not suitable for exploring this complicated landscape, but
alternative methods are required to solve the problem. This, however, requires
extremely high-precision data.
| astro-ph | quantum gravity effects are expected to modify the primordial density fluctuations produced during inflation and leave their imprint on the cosmic microwave background observed today we present a new analysis discussing whether these effects are detectable considering both currently available data and simulated results from an optimal cmb experiment we find that the wmap wilkinson microwave anisotropy probe data show no evidence for the particular signature considered in this work but give an upper bound on the parameters of the model however a hypothetical experiment shows that with proper data the transplanckian effects should be detectable through alternate sampling methods this fuzzy conclusion is a result of the nature of the oscillations since they give rise to a likelihood hypersurface riddled with local maxima a simple bayesian analysis shows no significant evidence for the simulated data to prefer a transplanckian model conventional markov chain monte carlo mcmc methods are not suitable for exploring this complicated landscape but alternative methods are required to solve the problem this however requires extremely highprecision data | [['quantum', 'gravity', 'effects', 'are', 'expected', 'to', 'modify', 'the', 'primordial', 'density', 'fluctuations', 'produced', 'during', 'inflation', 'and', 'leave', 'their', 'imprint', 'on', 'the', 'cosmic', 'microwave', 'background', 'observed', 'today', 'we', 'present', 'a', 'new', 'analysis', 'discussing', 'whether', 'these', 'effects', 'are', 'detectable', 'considering', 'both', 'currently', 'available', 'data', 'and', 'simulated', 'results', 'from', 'an', 'optimal', 'cmb', 'experiment', 'we', 'find', 'that', 'the', 'wmap', 'wilkinson', 'microwave', 'anisotropy', 'probe', 'data', 'show', 'no', 'evidence', 'for', 'the', 'particular', 'signature', 'considered', 'in', 'this', 'work', 'but', 'give', 'an', 'upper', 'bound', 'on', 'the', 'parameters', 'of', 'the', 'model', 'however', 'a', 'hypothetical', 'experiment', 'shows', 'that', 'with', 'proper', 'data', 'the', 'transplanckian', 'effects', 'should', 'be', 'detectable', 'through', 'alternate', 'sampling', 'methods', 'this', 'fuzzy', 'conclusion', 'is', 'a', 'result', 'of', 'the', 'nature', 'of', 'the', 'oscillations', 'since', 'they', 'give', 'rise', 'to', 'a', 'likelihood', 'hypersurface', 'riddled', 'with', 'local', 'maxima', 'a', 'simple', 'bayesian', 'analysis', 'shows', 'no', 'significant', 'evidence', 'for', 'the', 'simulated', 'data', 'to', 'prefer', 'a', 'transplanckian', 'model', 'conventional', 'markov', 'chain', 'monte', 'carlo', 'mcmc', 'methods', 'are', 'not', 'suitable', 'for', 'exploring', 'this', 'complicated', 'landscape', 'but', 'alternative', 'methods', 'are', 'required', 'to', 'solve', 'the', 'problem', 'this', 'however', 'requires', 'extremely', 'highprecision', 'data']] | [-0.1072336976148858, 0.1363380228032083, -0.13376909313854157, 0.16066608650198652, -0.11940035760969098, -0.13008437751743354, 0.033830643917450255, 0.35498720618258967, -0.23567337051785567, -0.3542147437600713, 0.10915077195165145, -0.29152527784830645, -0.10890259704830353, 0.23939291192000808, -0.009584833078129946, 0.020579764134746197, 0.11227222905652216, -0.01579794868260448, -0.04269822737425348, -0.24038895403378105, 0.2547416122240826, 0.162437278313742, 0.3008345506148554, 0.030130279965273905, 0.07089966734972025, -0.039532004408974045, -0.08113409663490646, 0.01326728202075812, -0.16364155949773512, 0.07518290663859671, 0.242354403786383, 0.1636124371199689, 0.21478256330231738, -0.45656706915612805, -0.2369520373762264, 0.18711124156596282, 0.14002098962569293, 0.17726092057967047, -0.1024630597945063, -0.274661717119447, 0.02193978402970566, -0.12250644916516037, -0.11329874917401861, -0.09383990008476577, -0.03253433797018308, -0.046349417479512725, -0.2768003977944105, 0.0956514504852525, 0.035424240812052, 0.0636163042429004, -0.03741384495583455, -0.09256169307780893, -0.007233768033016234, 0.03873268902241879, 0.06433088996526594, 0.028037507086992264, 0.12400854278181554, -0.08367758827850397, -0.11577031976810237, 0.3493448411501203, -0.08120971380008592, -0.1393001977945215, 0.1609275723829299, -0.13240737292632374, -0.18489624921243356, 0.11366808054320601, 0.13811752352896228, 0.08441398152264587, -0.15791124111308297, 0.0924984796690259, 0.018162508098931426, 0.18655380338555672, 0.018869436356887134, 0.021074281522067407, 0.27756158241522855, 0.13988422636318495, 0.06484325223586015, 0.1080806702926853, -0.10214834494723214, -0.07692301826148529, -0.2891822900910377, -0.0718687331124906, -0.1796587976648837, 0.03692605507320776, -0.1002431834408978, -0.1974675394376816, 0.3338860045364181, 0.21997068183580865, 0.21202147547809178, 0.028124908259007753, 0.33022866951443297, 0.07098408990297249, 0.03691166624248474, 0.06112678750684997, 0.29865013586890976, 0.0764366287890582, 0.08142089007057424, -0.19298662043214715, 0.08643628709693575, -0.04646435733312708] |
711.1794 | EDDE Monte Carlo event generator.Version 2.1 | EDDE is a Monte Carlo event generator for different Exclusive and
Semi-Inclusive Double Diffractive processes. The program is based on the
extended Regge-eikonal approach for "soft" processes. Standard Model and its
extensions are used for "hard" fusion processes.
| hep-ph | edde is a monte carlo event generator for different exclusive and semiinclusive double diffractive processes the program is based on the extended reggeeikonal approach for soft processes standard model and its extensions are used for hard fusion processes | [['edde', 'is', 'a', 'monte', 'carlo', 'event', 'generator', 'for', 'different', 'exclusive', 'and', 'semiinclusive', 'double', 'diffractive', 'processes', 'the', 'program', 'is', 'based', 'on', 'the', 'extended', 'reggeeikonal', 'approach', 'for', 'soft', 'processes', 'standard', 'model', 'and', 'its', 'extensions', 'are', 'used', 'for', 'hard', 'fusion', 'processes']] | [0.03838959380396103, 0.12676052681758607, -0.15992430009339986, 0.2530621179122184, -0.05856889145644872, -0.12572346262535766, 0.013038000860864199, 0.4429300729381411, -0.265564568475575, -0.18750654033532269, 0.0918176308470337, -0.29931925141595694, -0.06663889190378158, 0.23387163671003164, 0.06886283386694758, 0.1689294294414331, 0.12142667044444304, -0.03462192324284268, 0.01093652579737337, -0.14742493325550304, 0.29559807822500406, 0.10371788767607588, 0.24596324774412145, 0.03624462471098492, 0.1341122414573635, 0.21260318755613347, -0.07957974465956029, -0.07645326730256018, -0.06468139297181838, 0.09607517514622917, 0.22518831481666943, 0.11712814371199592, 0.11807483655253523, -0.4121472763975984, -0.17755426005705408, 0.08876143400802423, 0.10490437782075453, 0.029888761520085513, -0.05249310438337393, -0.2260328989696542, 0.06721177423912052, -0.2732018374984986, -0.04776155261175805, -0.07009340717310183, -0.03032299386962366, 0.01117343798671898, -0.3876116718900831, 0.036572920035963, 0.01659847952817616, -0.01977798894145771, 0.03702714341680372, -0.15250063664279878, 0.017853706486915286, 0.04170097775855347, 0.007185433335651301, 0.04452651464625409, 0.19835410757284416, -0.12199504727399663, -0.33352325998834875, 0.34008441929166255, 0.028517252606290736, -0.17967885561091335, 0.23238113656713577, -0.10667717172519157, -0.19369131249473676, 0.19532988186141378, 0.22814310797931334, 0.18906659613314428, -0.2526713998645152, 0.1714200477918463, 0.04141888424362007, 0.09461702781386282, -0.055676343066519814, -0.012259785821171184, 0.15003549772020625, 0.26749526807352114, -0.11747477495258576, 0.13550203308267028, -0.14456931875994136, -0.20286984437782513, -0.38042801736216797, -0.14013812972514547, -0.05898631819965024, -0.017536984413470093, -0.04569333501230607, -0.1660026700824107, 0.3003266894773237, 0.124649999124047, 0.1791951598746604, 0.023072565905749798, 0.32720872349301844, 0.1314312720818347, 0.09371093541726862, 0.007237767604620833, 0.19622059605133377, 0.1636355661443974, 0.09143263487586457, -0.14035247303055307, 0.10949378017042029, 0.09347118118679837] |
711.1795 | Sense and Nonsense on Parton Distribution functions of the Photon | The organization of finite order QCD approximations to $F_2^{\gamma}(x,Q^2)$
based on the separation of pure QED contribution from those of genuine QCD
nature is discussed.
| hep-ph | the organization of finite order qcd approximations to f_2gammaxq2 based on the separation of pure qed contribution from those of genuine qcd nature is discussed | [['the', 'organization', 'of', 'finite', 'order', 'qcd', 'approximations', 'to', 'f_2gammaxq2', 'based', 'on', 'the', 'separation', 'of', 'pure', 'qed', 'contribution', 'from', 'those', 'of', 'genuine', 'qcd', 'nature', 'is', 'discussed']] | [-0.08200464423745871, 0.16641104333102702, -0.15246375486254693, 0.08655727284494788, -0.05563219949603081, 0.003904014304280281, 0.03534277506172657, 0.30019866466522216, -0.16305308058857917, -0.22149303273297846, 0.04073107987642288, -0.3068394547328353, -0.06620146371424199, 0.08633898686617612, 0.05680315621197224, 0.084606212079525, -0.03149877931922674, 0.033005987405776975, -0.09433867862913757, -0.22846047967672348, 0.3664893120527267, -0.0018733255192637443, 0.2844768826663494, 0.13668887396343052, 0.03740502968430519, -0.035028001181781294, -0.07970777725800872, -0.0046996669843792915, -0.05646392684429884, 0.12504364788532257, 0.2375422790646553, 0.028953865068033338, 0.14651135802268983, -0.3677499478496611, -0.16706039071083068, 0.06269703846657648, 0.07789045425597578, 0.13221768528223038, 0.014056510827504098, -0.2977783288061619, 0.10442571584135293, -0.19527091138064862, -0.12504057981073857, -0.11692022442817689, -0.046790761500597, -0.03814252614974976, -0.2412157239019871, 0.07712466924451292, 0.01862147733569145, 0.020627027805894614, -0.001731843203306198, -0.20398574888706208, 0.027613318115472792, 0.10627035727724433, 0.014569577877409756, 0.04808821108192205, 0.10710579060018062, -0.16720182426273822, -0.20944538719952108, 0.506677325963974, -0.02570264379028231, -0.14844972953200342, 0.20768712104298173, -0.14260485488921404, -0.12535591593012213, 0.16554469630122184, 0.1806153604388237, 0.09631870359182358, -0.1334227804839611, 0.11623263731598854, 0.06073289006948471, 0.21084247425198555, 0.05092501256614924, 0.0952693809568882, 0.1667403593380004, 0.17090236184187232, -0.02227000843733549, 0.14149112513288856, 0.013479678826406598, -0.23389257833361626, -0.42570038557052614, -0.03978219263255596, -0.2147047835495323, 0.11212158579379321, -0.09510170206427575, -0.21725532982498408, 0.331886826120317, 0.1596568940579891, 0.11283852711319924, -0.01602811224758625, 0.3172596025466919, 0.09942008308833465, 0.038270832281559704, -0.015607797782868147, 0.27119086241349577, 0.22253470066934825, 0.08943112874403596, -0.31262857307679953, 0.024837519079446792, 0.1758989421185106] |
711.1796 | Z(3)-symmetric effective theory of hot QCD | We study a three dimensional Z(3)-symmetric effective theory of high
temperature QCD. The exact lattice-continuum relations, needed in order to
perform lattice simulations with physical parameters, are computed to order
O(a^0) in lattice perturbation theory. Lattice simulations are performed to
determine the phase structure of a subset of the parameter space.
| hep-lat | we study a three dimensional z3symmetric effective theory of high temperature qcd the exact latticecontinuum relations needed in order to perform lattice simulations with physical parameters are computed to order oa0 in lattice perturbation theory lattice simulations are performed to determine the phase structure of a subset of the parameter space | [['we', 'study', 'a', 'three', 'dimensional', 'z3symmetric', 'effective', 'theory', 'of', 'high', 'temperature', 'qcd', 'the', 'exact', 'latticecontinuum', 'relations', 'needed', 'in', 'order', 'to', 'perform', 'lattice', 'simulations', 'with', 'physical', 'parameters', 'are', 'computed', 'to', 'order', 'oa0', 'in', 'lattice', 'perturbation', 'theory', 'lattice', 'simulations', 'are', 'performed', 'to', 'determine', 'the', 'phase', 'structure', 'of', 'a', 'subset', 'of', 'the', 'parameter', 'space']] | [-0.15309112777933478, 0.16672380341216922, -0.07650824195705354, 0.057111653015017506, -0.05963935427367687, -0.05184362294152379, 0.08170192094054073, 0.3969110869243741, -0.22639730911701916, -0.2861066398024559, 0.11036272312048823, -0.2697958146966994, -0.11499131679534912, 0.09868681568652392, 0.0772192695364356, 0.1140610599052161, 0.00886279860511422, 0.0468325090687722, -0.13912484519183635, -0.2641592303989455, 0.28631348194088785, 0.04393448536284268, 0.23050505090504886, 0.0046346838399767875, 0.05961211988702417, -0.029718190049752593, -0.02724253525957465, 0.0778222862718394, -0.24031565606594085, 0.09541064731776715, 0.23953703496605158, -0.01297844035550952, 0.1696690321015194, -0.4369394373893738, -0.2538743653893471, 0.058501281458884474, 0.10131773805245757, 0.14174807092640548, 0.02046061456203461, -0.18540107045322657, 0.10516087988391519, -0.16624401239678263, -0.18865224219858645, -0.1900232873670757, -0.047531250938773154, -0.040872760605998336, -0.32435024616890584, 0.0587032987800194, -0.08825256640091539, 0.08108813625760376, -0.04959203992038965, -0.0868318721279502, -0.03157488524913788, 0.13913323376793416, 0.0020002726651728153, 0.06843815682921559, 0.07822278329171241, -0.11746959200318088, -0.12644528297707439, 0.4654486369900405, -0.03436728654894978, -0.1895126123726368, 0.1722862622514367, -0.19084422662854195, -0.1335692145675421, 0.1140471278782934, 0.17581812938675284, 0.10791585645638406, -0.10819110548472963, 0.12089385733008384, -0.009087969660758971, 0.20428591024596243, -0.007799194231629372, 0.02754225593060255, 0.1712800576351583, 0.16348544400651008, -0.03328810578212142, 0.12240366293117404, -0.036579318968579175, -0.1657489090040326, -0.3127464393526316, -0.058440863757859916, -0.17586563338525593, 0.032108593126758934, -0.1448101312434301, -0.18292572177015246, 0.34977814643643795, 0.19751540789729916, 0.20225685840821825, -0.006915795393288135, 0.25110773626714944, 0.11287693159712944, 0.026344481711275874, 0.00019415954127907753, 0.20674742083530873, 0.1700605391897261, 0.02199177209287882, -0.2627228587120771, -0.07903197389096021, 0.18027991339098662] |
711.1797 | Experimental Determination of Nucleation Scaling Law for Small Charged
Particles | We investigated the nucleation process at the molecular level. Controlled
sticking of individual atoms onto mass selected clusters over a wide mass range
has been carried out for the first time. We measured the absolute unimolecular
nucleation cross sections of cationic sodium clusters Na_{n}^{+} in the range
n=25-200 at several collision energies. The widely used hard sphere
approximation clearly fails for small sizes: not only should vapor-to-liquid
nucleation theories be modified, but also, through the microreversibility
principle, cluster decay rate statistical models.
| physics.atm-clus | we investigated the nucleation process at the molecular level controlled sticking of individual atoms onto mass selected clusters over a wide mass range has been carried out for the first time we measured the absolute unimolecular nucleation cross sections of cationic sodium clusters na_n in the range n25200 at several collision energies the widely used hard sphere approximation clearly fails for small sizes not only should vaportoliquid nucleation theories be modified but also through the microreversibility principle cluster decay rate statistical models | [['we', 'investigated', 'the', 'nucleation', 'process', 'at', 'the', 'molecular', 'level', 'controlled', 'sticking', 'of', 'individual', 'atoms', 'onto', 'mass', 'selected', 'clusters', 'over', 'a', 'wide', 'mass', 'range', 'has', 'been', 'carried', 'out', 'for', 'the', 'first', 'time', 'we', 'measured', 'the', 'absolute', 'unimolecular', 'nucleation', 'cross', 'sections', 'of', 'cationic', 'sodium', 'clusters', 'na_n', 'in', 'the', 'range', 'n25200', 'at', 'several', 'collision', 'energies', 'the', 'widely', 'used', 'hard', 'sphere', 'approximation', 'clearly', 'fails', 'for', 'small', 'sizes', 'not', 'only', 'should', 'vaportoliquid', 'nucleation', 'theories', 'be', 'modified', 'but', 'also', 'through', 'the', 'microreversibility', 'principle', 'cluster', 'decay', 'rate', 'statistical', 'models']] | [-0.04063354627470727, 0.16109456270530728, -0.08383650345336875, 0.10938216467976968, 0.04240418331881548, -0.09055950981852265, 0.08202090792366545, 0.4163689981502147, -0.25601033053797795, -0.2965959592687863, 0.016872867224680514, -0.2407187416827605, 0.01647713130776897, 0.19251651645718534, 0.07655463252722482, 0.06594073924201506, 0.039614085832403764, 0.01499575143105086, -0.029163108833916027, -0.27909472212195396, 0.23518355931212873, 0.1143859007027874, 0.27725040154922526, 0.10448337038174088, 0.06689137191638167, 0.0019151173980423697, 0.02894461327692333, 0.025590947875178155, -0.23131198260105318, 0.012823620559590191, 0.2501109978319293, 0.027613443469076796, 0.2346007186965442, -0.4114197340828401, -0.20114011148186287, 0.1263651501065419, 0.1993305874488282, 0.1211106662130426, -0.0583567006777926, -0.23775039766167785, 0.05282561674449639, -0.1652824478453876, -0.13040961622041156, -0.023849051799280225, 0.037122462387484165, 0.03146430494746676, -0.2096271114596338, 0.12746509506020776, -0.03652250492818838, 0.049310690435914344, -0.09891582804122641, -0.1569813816221776, -0.039589976604430026, 0.07970028798337336, 0.01928113108855833, -0.0387242211867555, 0.2744176372724735, -0.06361895155759505, -0.05201654236211821, 0.3942037774824802, -0.041114539514514215, -0.13168979502846428, 0.2256046677450937, -0.1824298252662023, -0.16532250967762077, 0.233000095255305, 0.156822496312268, 0.14800591011284447, -0.1920892813668391, 0.03679118721665424, 0.0012258026679908788, 0.2154654548359736, 0.1529745927747385, -0.024266682358251676, 0.23862383512343155, 0.1804289784911951, -0.037812615388337474, 0.0638197578093106, -0.1637095933791572, -0.14415391590906146, -0.2762933620424182, -0.12075318895096396, -0.1778271866640375, 0.038056352937681726, -0.09507299017988974, -0.09963867960520732, 0.2600275967730048, 0.0667526805198487, 0.1721702531773459, 0.028914956651903963, 0.21411875506610045, 0.10264036452604665, 0.12390418316203135, 0.008984249329516365, 0.26467970129171453, 0.14977811641393252, 0.09254082362023815, -0.22547801250568877, 0.098033537030404, 0.04097466176824161] |
711.1798 | Comment on "Localization Transition of Biased Random Walks on Random
Networks" | Sood and Grassberger studied in [Phys. Rev. Lett. 99, 098701 (2007)] random
walks on random graphs that are biased towards a fixed target point. They put
forward a critical bias strength b_c such that a random walker on an infinite
graph eventually reaches the target with probability 1 when b>b_c, while a
finite fraction of walks drift off to infinity for b<b_c. They rely on rigorous
results obtained for biased walks on Galton-Watson (GW) trees to calculate b_c,
and give arguments indicating that this result should also hold for random
graphs such as Erdos-Renyi (ER) graphs and Molloy-Reed (MR) graphs. To validate
their prediction, they show by numerical simulations that the mean return time
(MRT) on a finite ER graph, as a function of the graph size N, exhibits a
transition around the expected b_c.
Here we show that the MRT on a GW tree can actually be computed analytically.
This allows us (i) to show analytically that indeed the MRT displays a
transition at b_c, (ii) to elucidate the N dependence of the MRT, which
contradicts the \propto N scaling expected in [Phys. Rev. Lett. 99, 098701
(2007)] for b<b_c.
| cond-mat.stat-mech cond-mat.dis-nn | sood and grassberger studied in phys rev lett 99 098701 2007 random walks on random graphs that are biased towards a fixed target point they put forward a critical bias strength b_c such that a random walker on an infinite graph eventually reaches the target with probability 1 when bb_c while a finite fraction of walks drift off to infinity for bb_c they rely on rigorous results obtained for biased walks on galtonwatson gw trees to calculate b_c and give arguments indicating that this result should also hold for random graphs such as erdosrenyi er graphs and molloyreed mr graphs to validate their prediction they show by numerical simulations that the mean return time mrt on a finite er graph as a function of the graph size n exhibits a transition around the expected b_c here we show that the mrt on a gw tree can actually be computed analytically this allows us i to show analytically that indeed the mrt displays a transition at b_c ii to elucidate the n dependence of the mrt which contradicts the propto n scaling expected in phys rev lett 99 098701 2007 for bb_c | [['sood', 'and', 'grassberger', 'studied', 'in', 'phys', 'rev', 'lett', '99', '098701', '2007', 'random', 'walks', 'on', 'random', 'graphs', 'that', 'are', 'biased', 'towards', 'a', 'fixed', 'target', 'point', 'they', 'put', 'forward', 'a', 'critical', 'bias', 'strength', 'b_c', 'such', 'that', 'a', 'random', 'walker', 'on', 'an', 'infinite', 'graph', 'eventually', 'reaches', 'the', 'target', 'with', 'probability', '1', 'when', 'bb_c', 'while', 'a', 'finite', 'fraction', 'of', 'walks', 'drift', 'off', 'to', 'infinity', 'for', 'bb_c', 'they', 'rely', 'on', 'rigorous', 'results', 'obtained', 'for', 'biased', 'walks', 'on', 'galtonwatson', 'gw', 'trees', 'to', 'calculate', 'b_c', 'and', 'give', 'arguments', 'indicating', 'that', 'this', 'result', 'should', 'also', 'hold', 'for', 'random', 'graphs', 'such', 'as', 'erdosrenyi', 'er', 'graphs', 'and', 'molloyreed', 'mr', 'graphs', 'to', 'validate', 'their', 'prediction', 'they', 'show', 'by', 'numerical', 'simulations', 'that', 'the', 'mean', 'return', 'time', 'mrt', 'on', 'a', 'finite', 'er', 'graph', 'as', 'a', 'function', 'of', 'the', 'graph', 'size', 'n', 'exhibits', 'a', 'transition', 'around', 'the', 'expected', 'b_c', 'here', 'we', 'show', 'that', 'the', 'mrt', 'on', 'a', 'gw', 'tree', 'can', 'actually', 'be', 'computed', 'analytically', 'this', 'allows', 'us', 'i', 'to', 'show', 'analytically', 'that', 'indeed', 'the', 'mrt', 'displays', 'a', 'transition', 'at', 'b_c', 'ii', 'to', 'elucidate', 'the', 'n', 'dependence', 'of', 'the', 'mrt', 'which', 'contradicts', 'the', 'propto', 'n', 'scaling', 'expected', 'in', 'phys', 'rev', 'lett', '99', '098701', '2007', 'for', 'bb_c']] | [-0.10212400805072061, 0.17126409425691236, -0.06761455510634555, 0.04774309979176097, -0.05663343136711292, -0.16406162838801427, 0.14960625892869694, 0.36362615178915714, -0.1641730499286303, -0.24654229247028492, 0.013318263808580698, -0.31120842861551506, -0.1539825211148512, 0.17533070102787365, -0.05269679013931227, 0.04320367073662402, 0.057757364834841125, 0.06063181620150331, -0.03277587096352209, -0.26643945889226556, 0.18125028793069303, 0.07295667295339246, 0.2763560724829043, 0.06763975047346243, 0.048073741480789425, 0.03566810110258677, 0.011788360308855772, 0.06817090905286254, -0.20979159287533972, -0.03844826507367312, 0.21836492058971316, 0.07785599762031799, 0.2567365837317926, -0.40016099546971934, -0.1797050199220105, 0.13103684424003834, 0.1468850272318358, 0.11791737169019938, 0.028369475326688084, -0.3144532186681375, 0.12505063801885596, -0.15101869125165557, -0.10195987081960849, -0.056366058267596324, 0.11152853985796264, 0.031560552187902095, -0.32751806007289186, 0.07692600740227606, 0.07488337559773335, 0.022464861014177873, 0.06018371540417392, -0.1455075317284181, -0.01886071228402514, 0.03899854815102468, -0.02404162841689651, 0.08133714546316437, 0.12369312476317482, -0.06372430446069866, -0.1556541710825903, 0.3437456445492528, -0.04224846278263069, -0.17195585493747362, 0.16395767382869655, -0.17759658756207616, -0.16247451984170805, 0.1205689587449241, 0.20069651571521288, 0.10939999919621245, -0.1145010155065277, 0.08871591089338941, -0.06172736049580472, 0.11234951984317772, 0.08955270238590264, -0.01357100783384075, 0.15848017938523776, 0.11580918436234314, 0.04215116891024447, 0.1117028997128179, -0.06812429527761957, -0.0989102739545088, -0.28626454604183516, -0.1120519908212825, -0.2359451383214306, 0.13860259202392722, -0.14109713361494147, -0.1977109878555571, 0.3530926041147381, 0.18586547001851378, 0.260289215448278, 0.15038526454317092, 0.19179410893943102, 0.13783641190516946, -0.026307572163493623, 0.17563114684474254, 0.2118793803577622, 0.16596024287322525, 0.09555445850282296, -0.2023109445870711, 0.07666638417529169, 0.07520944260248037] |
711.1799 | Towards a Worldsheet Derivation of the Maldacena Conjecture | A U(2,2|4)-invariant A-model constructed from fermionic superfields has
recently been proposed as a sigma model for the superstring on AdS_5xS^5. After
explaining the relation of this A-model with the pure spinor formalism, the
A-model action is expressed as a gauged linear sigma model. In the zero radius
limit, the Coulomb branch of this sigma model is interpreted as D-brane holes
which are related to gauge-invariant N=4 d=4 super-Yang-Mills operators. As in
the worldsheet derivation of open-closed duality for Chern-Simons theory, this
construction may lead to a worldsheet derivation of the Maldacena conjecture.
Intriguing connections to the twistorial formulation of N=4 Yang-Mills are also
noted.
| hep-th | a u224invariant amodel constructed from fermionic superfields has recently been proposed as a sigma model for the superstring on ads_5xs5 after explaining the relation of this amodel with the pure spinor formalism the amodel action is expressed as a gauged linear sigma model in the zero radius limit the coulomb branch of this sigma model is interpreted as dbrane holes which are related to gaugeinvariant n4 d4 superyangmills operators as in the worldsheet derivation of openclosed duality for chernsimons theory this construction may lead to a worldsheet derivation of the maldacena conjecture intriguing connections to the twistorial formulation of n4 yangmills are also noted | [['a', 'u224invariant', 'amodel', 'constructed', 'from', 'fermionic', 'superfields', 'has', 'recently', 'been', 'proposed', 'as', 'a', 'sigma', 'model', 'for', 'the', 'superstring', 'on', 'ads_5xs5', 'after', 'explaining', 'the', 'relation', 'of', 'this', 'amodel', 'with', 'the', 'pure', 'spinor', 'formalism', 'the', 'amodel', 'action', 'is', 'expressed', 'as', 'a', 'gauged', 'linear', 'sigma', 'model', 'in', 'the', 'zero', 'radius', 'limit', 'the', 'coulomb', 'branch', 'of', 'this', 'sigma', 'model', 'is', 'interpreted', 'as', 'dbrane', 'holes', 'which', 'are', 'related', 'to', 'gaugeinvariant', 'n4', 'd4', 'superyangmills', 'operators', 'as', 'in', 'the', 'worldsheet', 'derivation', 'of', 'openclosed', 'duality', 'for', 'chernsimons', 'theory', 'this', 'construction', 'may', 'lead', 'to', 'a', 'worldsheet', 'derivation', 'of', 'the', 'maldacena', 'conjecture', 'intriguing', 'connections', 'to', 'the', 'twistorial', 'formulation', 'of', 'n4', 'yangmills', 'are', 'also', 'noted']] | [-0.12406324803178172, 0.1430665522777629, -0.11399211841454567, 0.15080642312634013, -0.09624891882102249, -0.18068465218852156, -0.04238468710021161, 0.24865822142297492, -0.15087216183061722, -0.23992940689012118, 0.04849220199275364, -0.28281747643582666, -0.24992643923326893, 0.08439392773027632, -0.10651372187291679, 0.04003230166775219, -0.04184135406061067, 0.08222053502008174, -0.15553074243288595, -0.2759273500086794, 0.2939973367712668, -0.00162784762011425, 0.2572246894638226, 0.08241041295145055, 0.12600956183577916, -0.0045248561593007695, 0.00911361194731107, -0.008799656393747884, -0.07679448425950645, 0.13667292305205053, 0.2634377611023419, 0.07444446033219472, 0.04771856680620932, -0.46498497593605403, -0.25419478732114886, 0.04557372100235334, 0.2007941538366281, 0.16013566566545298, 0.052344130346488243, -0.28960909565133086, 0.004811144578587083, -0.20456968868169392, -0.20153528932443576, -0.07532683119756504, 0.0714073898903664, -0.17589816035142222, -0.20405243526244518, 0.07404902460052433, 0.05296694395557335, 0.03733966284142174, -0.041984061278217445, -0.10824033989598161, -0.1274372355614617, 0.0348999280102768, 0.1324379921278202, 0.14820067479175705, 0.0917321378636418, -0.22869618079914414, -0.1558993383925589, 0.3255562518352588, -0.07929573575197493, -0.23619234426290664, 0.09019909617355437, -0.10543499235289841, -0.19726954390819285, 0.04253492115553722, 0.0490434214933911, 0.16914252822459178, -0.1456554365204195, 0.28146912950516034, -0.11247057911772643, 0.08864640386648548, 0.14681874455214994, 0.055157103182440534, 0.3055473908926677, 0.12824467039730364, 0.006718352952411452, 0.15515636548273337, 0.017412018250149576, -0.13419722118957456, -0.47461513759007734, -0.10294065968299797, -0.09385665942625442, 0.15599495408495942, -0.12174048130988206, -0.2083547352541925, 0.32553810292082946, 0.08600075626141139, 0.16891222249815982, 0.09557029878996422, 0.164680012015382, 0.1766353556479427, 0.09493561470609846, -0.018155031143552037, 0.2421688921630916, 0.2738876979418316, 0.05504686238913281, -0.2670720285963204, -0.17102400925534877, 0.2973069208809762] |
711.18 | Arithmetic and Geometric Progressions in Productsets over Finite Fields | Given two sets $\cA, \cB \subseteq \F_q$ of elements of the finite field
$\F_q$ of $q$ elements, we show that the productset $$ \cA\cB = \{ab | a \in
\cA, b \in\cB\} $$ contains an arithmetic progression of length $k \ge 3$
provided that $k<p$, where $p$ is the characteristic of $\F_q$, and $# \cA #
\cB \ge 3q^{2d-2/k}$. We also consider geometric progressions in a shifted
productset $\cA\cB +h$, for $f \in \F_q$, and obtain a similar result.
| math.NT math.CO | given two sets ca cb subseteq f_q of elements of the finite field f_q of q elements we show that the productset cacb ab a in ca b incb contains an arithmetic progression of length k ge 3 provided that kp where p is the characteristic of f_q and ca cb ge 3q2d2k we also consider geometric progressions in a shifted productset cacb h for f in f_q and obtain a similar result | [['given', 'two', 'sets', 'ca', 'cb', 'subseteq', 'f_q', 'of', 'elements', 'of', 'the', 'finite', 'field', 'f_q', 'of', 'q', 'elements', 'we', 'show', 'that', 'the', 'productset', 'cacb', 'ab', 'a', 'in', 'ca', 'b', 'incb', 'contains', 'an', 'arithmetic', 'progression', 'of', 'length', 'k', 'ge', '3', 'provided', 'that', 'kp', 'where', 'p', 'is', 'the', 'characteristic', 'of', 'f_q', 'and', 'ca', 'cb', 'ge', '3q2d2k', 'we', 'also', 'consider', 'geometric', 'progressions', 'in', 'a', 'shifted', 'productset', 'cacb', 'h', 'for', 'f', 'in', 'f_q', 'and', 'obtain', 'a', 'similar', 'result']] | [-0.2402412711872139, 0.141080514701004, -0.02496776316800843, -0.0022725488474268627, 0.08130844282256304, -0.17735268452974118, 0.058446289472065975, 0.3647804393068604, -0.3421659148905588, -0.17426721144305624, -0.04472883914739056, -0.2755278331646021, -0.08976029322577128, 0.17852773848057224, -0.09403537435160167, -0.046746596599510616, -0.0009769666197615256, 0.11925790635733932, -0.07358670088233076, -0.31288237282938824, 0.2673647437190664, -0.11190645596471385, 0.15151040978135838, 0.0014466806669193118, 0.004074402484178975, 0.03490969842718239, 0.013634437742386606, 0.05602941053339105, -0.19067503891963736, 0.07801244058308826, 0.2595285492530767, 0.17253212651669764, 0.248865642515686, -0.3527629813719271, -0.17924929797595393, 0.16548499778803924, 0.18684855847201054, -0.01832782182896483, -0.05081713232009307, -0.14990305422764758, 0.2283647228471017, -0.11504410693179005, -0.09974121581088158, 0.03190113293627898, 0.20705949762950826, 0.06278622430492786, -0.37957432393686497, -0.0526581619215785, 0.14286865580125133, 0.22785637695072353, -0.01865100058173572, -0.2657397686422843, 0.01943469787205475, 0.03384430773313279, -0.07932437833337842, 0.1262031448751931, -0.006311363193031022, -0.041899597936603444, -0.045469033221403755, 0.3968500260641609, -0.10740332155609908, -0.11091050763439009, 0.06116796120920259, -0.19546740936736265, -0.10271551142331968, 0.15054689552904904, 0.11862690113754808, 0.12375333006291286, 0.029983615543207397, 0.25472802903496433, -0.15162314701339472, 0.19433912309561518, 0.07727969175987486, 0.002515714156670847, 0.08494382735976166, 0.03231837583597803, 0.02064701819630421, 0.07370138261467218, -0.06662475875160401, 0.058274422360557146, -0.38241293486477673, -0.18344440371763177, -0.1671592988397764, 0.12760691022149462, -0.13348738265357088, -0.19462817680576575, 0.3293925473007603, 0.07611814388951314, 0.19476317133808482, 0.05390345257625956, 0.16130447270267684, 0.0757707990705967, 0.03884573178652647, 0.07879540171015306, 0.059140149207002876, 0.22042843503236392, -0.03386662287664586, -0.22885046419485108, -0.02705951682224438, 0.14420794383825167] |
711.1801 | Tidal dynamics of extended bodies in planetary systems and multiple
stars | With the discovery during the past decade of a large number of extrasolar
planets orbiting their parent stars at a distance lower than 0.1 astronomical
unit (and the launch and the preparation of dedicated space missions such as
CoRoT and KEPLER), with the position of inner natural satellites around giant
planets in our Solar System and with the existence of very closed but separated
binary stars, tidal interaction has to be carefully studied. In particular, a
question arises about the validity of usual approximations used in the
modelling of this interaction. The purpose of this paper is to examine the step
beyond the ponctual approximation for the tidal perturber. To achieve this aim,
the gravitational interaction between two extended bodies and more precisely
the interaction between mass multipole moments of their gravitational fields
and the associated tidal phenomena are studied. Use of Cartesian Symmetric
Trace Free (STF) tensors, of their relation with spherical harmonics and of the
Kaula's transform enables to derive analytically the tidal and mutual
interaction potentials as well as the associated disturbing functions in
extended bodies systems. The tidal and mutual interaction potentials of two
extended bodies are derived. Next, the external gravitational potential of such
tidally disturbed extended body is obtained, using the Love's number theory, as
well as the associated disturbing function. Finally, the dynamical evolution
equations for such systems are given in their more general form without any
linearization. The dynamical equations for the gravitational and tidal
interactions between extended bodies and associated dynamics are derived in a
form where they could be directly implemented to perform coherent numerical
simulations of planetary systems or multiple stars tidal evolution.
| astro-ph | with the discovery during the past decade of a large number of extrasolar planets orbiting their parent stars at a distance lower than 01 astronomical unit and the launch and the preparation of dedicated space missions such as corot and kepler with the position of inner natural satellites around giant planets in our solar system and with the existence of very closed but separated binary stars tidal interaction has to be carefully studied in particular a question arises about the validity of usual approximations used in the modelling of this interaction the purpose of this paper is to examine the step beyond the ponctual approximation for the tidal perturber to achieve this aim the gravitational interaction between two extended bodies and more precisely the interaction between mass multipole moments of their gravitational fields and the associated tidal phenomena are studied use of cartesian symmetric trace free stf tensors of their relation with spherical harmonics and of the kaulas transform enables to derive analytically the tidal and mutual interaction potentials as well as the associated disturbing functions in extended bodies systems the tidal and mutual interaction potentials of two extended bodies are derived next the external gravitational potential of such tidally disturbed extended body is obtained using the loves number theory as well as the associated disturbing function finally the dynamical evolution equations for such systems are given in their more general form without any linearization the dynamical equations for the gravitational and tidal interactions between extended bodies and associated dynamics are derived in a form where they could be directly implemented to perform coherent numerical simulations of planetary systems or multiple stars tidal evolution | [['with', 'the', 'discovery', 'during', 'the', 'past', 'decade', 'of', 'a', 'large', 'number', 'of', 'extrasolar', 'planets', 'orbiting', 'their', 'parent', 'stars', 'at', 'a', 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711.1802 | On the influence of the cosmological constant on gravitational lensing
in small systems | The cosmological constant Lambda affects gravitational lensing phenomena. The
contribution of Lambda to the observable angular positions of multiple images
and to their amplification and time delay is here computed through a study in
the weak deflection limit of the equations of motion in the Schwarzschild-de
Sitter metric. Due to Lambda the unresolved images are slightly demagnified,
the radius of the Einstein ring decreases and the time delay increases. The
effect is however negligible for near lenses. In the case of null cosmological
constant, we provide some updated results on lensing by a Schwarzschild black
hole.
| astro-ph gr-qc | the cosmological constant lambda affects gravitational lensing phenomena the contribution of lambda to the observable angular positions of multiple images and to their amplification and time delay is here computed through a study in the weak deflection limit of the equations of motion in the schwarzschildde sitter metric due to lambda the unresolved images are slightly demagnified the radius of the einstein ring decreases and the time delay increases the effect is however negligible for near lenses in the case of null cosmological constant we provide some updated results on lensing by a schwarzschild black hole | [['the', 'cosmological', 'constant', 'lambda', 'affects', 'gravitational', 'lensing', 'phenomena', 'the', 'contribution', 'of', 'lambda', 'to', 'the', 'observable', 'angular', 'positions', 'of', 'multiple', 'images', 'and', 'to', 'their', 'amplification', 'and', 'time', 'delay', 'is', 'here', 'computed', 'through', 'a', 'study', 'in', 'the', 'weak', 'deflection', 'limit', 'of', 'the', 'equations', 'of', 'motion', 'in', 'the', 'schwarzschildde', 'sitter', 'metric', 'due', 'to', 'lambda', 'the', 'unresolved', 'images', 'are', 'slightly', 'demagnified', 'the', 'radius', 'of', 'the', 'einstein', 'ring', 'decreases', 'and', 'the', 'time', 'delay', 'increases', 'the', 'effect', 'is', 'however', 'negligible', 'for', 'near', 'lenses', 'in', 'the', 'case', 'of', 'null', 'cosmological', 'constant', 'we', 'provide', 'some', 'updated', 'results', 'on', 'lensing', 'by', 'a', 'schwarzschild', 'black', 'hole']] | [-0.2001302619901253, 0.08908244891063077, -0.058945239633127734, 0.10516842264769366, -0.09500398489763029, -0.09516833564460588, -0.017674040146327268, 0.33969430891253677, -0.23816992982756346, -0.2964338294987101, 0.061261326353511926, -0.3143486266878123, -0.05609538698142084, 0.19685425525919223, -0.01769332872936502, 0.03627650483880037, 0.03886979080562014, 0.041305984290678076, -0.07685575062835899, -0.24369938859066073, 0.37040498965264607, 0.15198447010091817, 0.19271215349726845, 0.009762485011985214, 0.11299110189429484, -0.02812709422626843, -0.06773782045153591, 0.09104391213622876, -0.18774125801428454, 0.011054534293483206, 0.1631475310617437, 0.1144592375785578, 0.23056461778469384, -0.3615834848800053, -0.1899708564063379, 0.08346019283635542, 0.14376300656294916, 0.16877714740500474, -0.048815051381097874, -0.32755683861857204, 0.06832731214429562, -0.12117268883351547, -0.16452637305580234, 0.03679950374256199, 0.07265621845969387, 0.002084703036719778, -0.20182285239570774, 0.15691815482083862, 0.03652927295964522, -0.0398446385418841, -0.11437958303819566, -0.041013861870548375, -0.015315418810738871, 0.10711503161292057, 0.11301199286875392, 0.03698629215796245, 0.1751523712737253, -0.14717886279686354, -0.034122475224042624, 0.4226064584411991, -0.14767739397939295, -0.1839675962740633, 0.0940382094704546, -0.22993576877343003, -0.0800368530196162, 0.1393192146982377, 0.1648911464823565, 0.15739396705854838, -0.0955202095998781, 0.13124728572256572, 0.0372300636251263, 0.18361092073124988, 0.14843922755972017, 0.0698375387582928, 0.29031880062454246, 0.08760542184851754, 0.05275725441879331, 0.11049263715055228, -0.14339343567795973, -0.04659724001733897, -0.3084983467664036, -0.10642442110838601, -0.1482120864263076, 0.09012728022450271, -0.19522497893391724, -0.16651167483845106, 0.2981279722492521, 0.13547986194377395, 0.1959669109880148, 0.07008791097905487, 0.3121517983963713, 0.09781925722745655, 0.03556769486507013, 0.019613828678833062, 0.3807937290951789, 0.14177539002897296, 0.14010225942911347, -0.27929380581675406, 0.001203366390351827, 0.03472726036367627] |
711.1803 | Numerical study of the mass spectrum in the 2D O(3) sigma model with a
theta term | It has been conjectured that the mass spectrum of the O(3) non-linear sigma
model with a theta term in 2 dimensions may possess an excited state, which
decays when theta is lowered from pi below a critical value. Since the direct
numerical investigation of the model is prevented by a sign problem, we try to
infer some information on the mass spectrum at real theta by studying the model
at imaginary theta via analytic continuation. A modified Swendsen-Wang cluster
algorithm has been introduced to simulate the model with the theta term.
| hep-lat | it has been conjectured that the mass spectrum of the o3 nonlinear sigma model with a theta term in 2 dimensions may possess an excited state which decays when theta is lowered from pi below a critical value since the direct numerical investigation of the model is prevented by a sign problem we try to infer some information on the mass spectrum at real theta by studying the model at imaginary theta via analytic continuation a modified swendsenwang cluster algorithm has been introduced to simulate the model with the theta term | [['it', 'has', 'been', 'conjectured', 'that', 'the', 'mass', 'spectrum', 'of', 'the', 'o3', 'nonlinear', 'sigma', 'model', 'with', 'a', 'theta', 'term', 'in', '2', 'dimensions', 'may', 'possess', 'an', 'excited', 'state', 'which', 'decays', 'when', 'theta', 'is', 'lowered', 'from', 'pi', 'below', 'a', 'critical', 'value', 'since', 'the', 'direct', 'numerical', 'investigation', 'of', 'the', 'model', 'is', 'prevented', 'by', 'a', 'sign', 'problem', 'we', 'try', 'to', 'infer', 'some', 'information', 'on', 'the', 'mass', 'spectrum', 'at', 'real', 'theta', 'by', 'studying', 'the', 'model', 'at', 'imaginary', 'theta', 'via', 'analytic', 'continuation', 'a', 'modified', 'swendsenwang', 'cluster', 'algorithm', 'has', 'been', 'introduced', 'to', 'simulate', 'the', 'model', 'with', 'the', 'theta', 'term']] | [-0.11627185093443636, 0.12305148516587816, -0.10136840101536158, 0.05533903578787551, -0.07332371578521125, -0.16138646802813797, 0.036347176701823185, 0.3162389634852553, -0.2728983232608208, -0.30654116756804695, 0.10548403949072523, -0.2847124726439898, -0.15089277495056963, 0.16890052776619957, 0.051171826771818675, 0.059041503647976855, -0.002450973030875672, 0.08637120602345401, -0.08153892328174642, -0.18110156816604372, 0.3120927646817578, 0.05032821343495296, 0.18608858387733063, 0.06473249485102164, 0.08295154340749422, -0.02388809957531291, 0.020003742845421963, -0.03980269109072921, -0.16616663436834242, 0.017552368525814797, 0.17138129532091564, 0.057933231933390374, 0.24856066125557646, -0.34871545517919483, -0.235445824564322, 0.13564137023730347, 0.15006534780815736, 0.07821002082034413, -0.012043091700064366, -0.2894851239705151, 0.09074987668114212, -0.16680880075903956, -0.1855410811501545, -0.0566628362553624, 0.049124702936611496, -0.0845080329985409, -0.3035234225949702, 0.07835596965134635, 0.02502750389144889, 0.04017965694132087, -0.029471924989023707, -0.1371266587156352, -0.05306747863785578, 0.08631235440830946, 0.10454581917908329, 0.10976736881619237, 0.07680525852797124, -0.1531664633836884, -0.07339370998830258, 0.3562262276555974, -0.06364547230231647, -0.20337068452243948, 0.1375627253757237, -0.15234216140931126, -0.11578122771519063, 0.15919646283018066, 0.13190925316378996, 0.10274276649579406, -0.10322314230446923, 0.1574813486230406, -0.06747057521459902, 0.19818597522328843, 0.04803639628852789, -0.06525984082043498, 0.2081498415669897, 0.12904792328897333, 0.025519974222713775, 0.14074354199692607, -0.06538173119066754, -0.10634322087459552, -0.26313168208554877, -0.1023137955772844, -0.19402522694032925, 0.08688909194565245, -0.05083211613556749, -0.11556507425976324, 0.3935656049339981, 0.11227437118093923, 0.22097668040973636, 0.05664863253324446, 0.2613162463147111, 0.1935407088124091, 0.07919923395205003, 0.037596470840111536, 0.22787646457436495, 0.14274190655387528, 0.08586365042336203, -0.23599746288823803, 0.06157808540040975, 0.08800673883684634] |
711.1804 | Transverse $\Lambda^0$ polarization in inclusive quasi-real
photoproduction at the current fragmentation | It is shown that the recent HERMES data on the transverse $\Lambda^0$
polarization in the inclusive quasi-real photoproduction at $x_F>0$ can be
accommodated by the strange quark scattering model. Relations with the quark
recombination approach are discussed.
| hep-ph | it is shown that the recent hermes data on the transverse lambda0 polarization in the inclusive quasireal photoproduction at x_f0 can be accommodated by the strange quark scattering model relations with the quark recombination approach are discussed | [['it', 'is', 'shown', 'that', 'the', 'recent', 'hermes', 'data', 'on', 'the', 'transverse', 'lambda0', 'polarization', 'in', 'the', 'inclusive', 'quasireal', 'photoproduction', 'at', 'x_f0', 'can', 'be', 'accommodated', 'by', 'the', 'strange', 'quark', 'scattering', 'model', 'relations', 'with', 'the', 'quark', 'recombination', 'approach', 'are', 'discussed']] | [-0.03813200554420316, 0.27535100341648666, -0.14101596686334625, 0.15377486452170824, -0.040493390573239, -0.09307762612966267, -0.014636645722832228, 0.3953761820857589, -0.19331300618580063, -0.199487373333525, -0.08932667723038813, -0.3704058322300379, 0.03347460271136181, 0.15732376669483208, 0.10334942640887725, 0.0899876216804055, 0.09376813428526795, -0.008342680370284093, 0.03842005330590984, -0.2606973847424662, 0.3545884398139409, 0.011344768975332781, 0.29324684876042445, 0.1944179548630239, 0.034629944312335875, 0.0603156316824056, -0.09221861530347047, -0.02295920965135903, -0.07598235388384736, 0.04614089832112596, 0.2407009780652368, 0.0585645118954818, 0.05007699091692228, -0.32133470853236884, -0.15545321989653482, 0.051581084501703046, 0.14583363100836003, 0.1316607958209273, -0.05796238746355615, -0.30488780266731175, 0.0660209416009083, -0.20719010856103254, -0.1327122771432875, -0.13149907896798607, 0.01743857389492159, -0.024632489610765432, -0.3151116417469205, 0.07418223782568364, -0.07724857443591228, -0.02984298997231432, 0.004594661182145009, -0.23088716603563847, -0.11415735703918177, -0.024563639047178062, 0.1148981942977706, 0.15526854162532333, 0.12735371744713267, -0.1523747597254712, -0.16789090769315088, 0.3734581949743065, -0.04750174067511752, -0.20419707300292478, 0.05257453651142281, -0.2771293051616364, -0.12888091345745567, 0.12016379702332858, 0.20034141058253274, 0.10375848691910505, -0.2501567015550225, 0.13733738585299737, -0.07814782417404491, 0.13385982569810506, 0.11522551775733764, 0.021931052019165176, 0.23456705842368505, 0.25243426705836447, -0.14060959786277366, 0.01976234543552572, -0.11083727049943362, -0.0758111275782859, -0.3778108675536272, -0.024723275331780314, -0.11195340630522854, 0.07278022615591416, -0.080255365225713, -0.0038429481579884384, 0.3118912639297746, 0.0903163433100122, 0.2721920925872149, -0.03907206703631862, 0.3591293961413809, 0.1274534434935934, 0.10544471437665257, 0.07741988520767237, 0.3311260755148691, 0.1947354820393328, 0.2234926581307239, -0.27765451896482624, 0.06515756010619067, 0.018268832968346572] |
711.1805 | Evidence of environmental strains on charge injection in silole based
organic light emitting diodes | Using d. functional theory (DFT) computations, the authors demonstrated a
substantial skeletal relaxation when the structure of
2,5-bis-[4-anthracene-9-yl-phenyl]-1,1-dimethyl-3,4-diphenyl-silole (BAS) is
optimized in the gas-phase comparing with the mol. structure detd. from
monocrystal x-ray diffraction. The origin of such a relaxation is explained by
a strong environmental strains induced by the presence of anthracene entities.
Also, the estn. of the frontier orbital levels showed that this structural
relaxation affects mainly the LUMO that is lowered of 190 meV in the gas phase.
To check if these theor. findings would be confirmed for thin films of BAS, the
authors turned to UV photoemission spectroscopy and/or inverse photoemission
spectroscopy and electrooptical measurements. The study of the c.d. or voltage
and luminance or voltage characteristics of an ITO/PEDOT/BAS/Au device clearly
demonstrated a very unusual temp.-dependent behavior. Using a thermally
assisted tunnel transfer model, this behavior likely originated from the
variation of the electronic affinity of the silole deriv. with the temp. The
thermal agitation relaxes the mol. strains in thin films as it is shown when
passing from the cryst. to the gas phase. The relaxation of the intramol. thus
induces an increase of the electronic affinity and, as a consequence, the more
efficient electron injection in org. light-emitting diodes.
| cond-mat.mtrl-sci | using d functional theory dft computations the authors demonstrated a substantial skeletal relaxation when the structure of 25bis4anthracene9ylphenyl11dimethyl34diphenylsilole bas is optimized in the gasphase comparing with the mol structure detd from monocrystal xray diffraction the origin of such a relaxation is explained by a strong environmental strains induced by the presence of anthracene entities also the estn of the frontier orbital levels showed that this structural relaxation affects mainly the lumo that is lowered of 190 mev in the gas phase to check if these theor findings would be confirmed for thin films of bas the authors turned to uv photoemission spectroscopy andor inverse photoemission spectroscopy and electrooptical measurements the study of the cd or voltage and luminance or voltage characteristics of an itopedotbasau device clearly demonstrated a very unusual tempdependent behavior using a thermally assisted tunnel transfer model this behavior likely originated from the variation of the electronic affinity of the silole deriv with the temp the thermal agitation relaxes the mol strains in thin films as it is shown when passing from the cryst to the gas phase the relaxation of the intramol thus induces an increase of the electronic affinity and as a consequence the more efficient electron injection in org lightemitting diodes | [['using', 'd', 'functional', 'theory', 'dft', 'computations', 'the', 'authors', 'demonstrated', 'a', 'substantial', 'skeletal', 'relaxation', 'when', 'the', 'structure', 'of', '25bis4anthracene9ylphenyl11dimethyl34diphenylsilole', 'bas', 'is', 'optimized', 'in', 'the', 'gasphase', 'comparing', 'with', 'the', 'mol', 'structure', 'detd', 'from', 'monocrystal', 'xray', 'diffraction', 'the', 'origin', 'of', 'such', 'a', 'relaxation', 'is', 'explained', 'by', 'a', 'strong', 'environmental', 'strains', 'induced', 'by', 'the', 'presence', 'of', 'anthracene', 'entities', 'also', 'the', 'estn', 'of', 'the', 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711.1806 | Study of the influence of the molecular organization on single-layer
OLEDs' performances | The authors synthesized three new silole derivs. with incrementally flexible
structure to tune their packing ability and therefore study the influence of
the mol. organization in single-layer OLEDs. This architecture was chosen since
the absence of org. layers interfaces allows a better evaluation of the role of
the mol. arrangement in the active layer. The examn. of the EL properties gives
evidences of the prominent role of the mol. organization on the OLED
efficiency. A cryst.-like organization of the mols. allows high c.d. but low
luminance efficiency since an excessive electron current flow is involved
compared to the hole one, and the recombination rate is poor. On the contrary,
disordered assemblies of mols. allows better performances by avoiding
unfavorable p-stacking, while keeping good intermol. orbital overlaps to
support charge carrier transport.
| cond-mat.mtrl-sci | the authors synthesized three new silole derivs with incrementally flexible structure to tune their packing ability and therefore study the influence of the mol organization in singlelayer oleds this architecture was chosen since the absence of org layers interfaces allows a better evaluation of the role of the mol arrangement in the active layer the examn of the el properties gives evidences of the prominent role of the mol organization on the oled efficiency a crystlike organization of the mols allows high cd but low luminance efficiency since an excessive electron current flow is involved compared to the hole one and the recombination rate is poor on the contrary disordered assemblies of mols allows better performances by avoiding unfavorable pstacking while keeping good intermol orbital overlaps to support charge carrier transport | [['the', 'authors', 'synthesized', 'three', 'new', 'silole', 'derivs', 'with', 'incrementally', 'flexible', 'structure', 'to', 'tune', 'their', 'packing', 'ability', 'and', 'therefore', 'study', 'the', 'influence', 'of', 'the', 'mol', 'organization', 'in', 'singlelayer', 'oleds', 'this', 'architecture', 'was', 'chosen', 'since', 'the', 'absence', 'of', 'org', 'layers', 'interfaces', 'allows', 'a', 'better', 'evaluation', 'of', 'the', 'role', 'of', 'the', 'mol', 'arrangement', 'in', 'the', 'active', 'layer', 'the', 'examn', 'of', 'the', 'el', 'properties', 'gives', 'evidences', 'of', 'the', 'prominent', 'role', 'of', 'the', 'mol', 'organization', 'on', 'the', 'oled', 'efficiency', 'a', 'crystlike', 'organization', 'of', 'the', 'mols', 'allows', 'high', 'cd', 'but', 'low', 'luminance', 'efficiency', 'since', 'an', 'excessive', 'electron', 'current', 'flow', 'is', 'involved', 'compared', 'to', 'the', 'hole', 'one', 'and', 'the', 'recombination', 'rate', 'is', 'poor', 'on', 'the', 'contrary', 'disordered', 'assemblies', 'of', 'mols', 'allows', 'better', 'performances', 'by', 'avoiding', 'unfavorable', 'pstacking', 'while', 'keeping', 'good', 'intermol', 'orbital', 'overlaps', 'to', 'support', 'charge', 'carrier', 'transport']] | [-0.12307235861514947, 0.08878541209410215, -0.025836301723583824, 0.026326320360466424, -0.04511991527027613, -0.11429144724434803, 0.0940178696376582, 0.3745079403299661, -0.2204491216864895, -0.3304484428704849, 0.043340081961581574, -0.2714091628730539, -0.11050546956470325, 0.13125737706968, -0.06426076622798092, 0.032062482497181806, 0.01985724150232734, -0.016645390817540743, -0.05159499088952702, -0.24533477533582804, 0.22736529088260363, 0.17606081442707883, 0.3922347586956762, 0.07398834838236254, 0.09344222405851478, 0.012967522714346175, 0.005979983283886834, -0.01738369385785763, -0.09513459027937007, 0.17912908827900767, 0.22874150424086975, 0.044775494817821754, 0.2608612734761592, -0.44638333274495035, -0.19223419759452107, 0.017059906433883405, 0.13975124151652885, 0.07009958772410062, -0.05561270134427422, -0.20266604768703617, 0.09220195838826753, -0.1527593142208865, -0.10237700846933183, -0.045829628876942606, -0.007588493717660654, 0.03329288401033005, -0.23435950866717445, 0.09555949033090165, 0.0817915808912071, 0.026426877541881468, -0.06565176055069998, -0.14750549400092236, -0.06780946822393508, 0.15962418894253907, 0.01425909441304467, 0.025821369246668405, 0.18657195114249747, -0.14278233175661179, -0.06355901200801045, 0.3766426345599549, -0.0034102150442315237, -0.15419558849599627, 0.25766871585732415, -0.13247819260383645, -0.07475964454490513, 0.19097653419400254, 0.1412806413857089, 0.08814116203713984, -0.12384938455366026, 0.04047501461496318, 0.0036071210190476407, 0.21869753030801398, 0.08746059029732668, 0.05212447707289978, 0.21262684719552036, 0.2310678374968351, 0.055569956256520184, 0.14421143472224238, -0.10717162617023974, -0.08791818017406124, -0.15033162227048288, -0.20244772406294942, -0.14237316103378636, 0.013538348625251462, -0.09959752059636692, -0.14761844812892377, 0.42975084147312576, 0.14165093793163247, 0.19757426195290118, -0.03929861119785716, 0.25198750972141704, 0.0364198163151741, 0.08914640770360295, 0.025475768656987283, 0.24936577139814045, 0.11305654755726989, 0.13477083447293217, -0.27334311938593314, 0.14543878198379562, 0.03194096302133172] |
711.1807 | FIGGS: Faint Irregular Galaxies GMRT Survey | The Faint Irregular Galaxies GMRT Survey (FIGGS) is a large program aimed at
providing a comprehensive and statistically robust characterisation of the
neutral ISM properties of faint (M_B > -14.5), nearby, gas rich, dwarf
irregular galaxies using the Giant Metrewave Radio Telescope (GMRT). Here we
briefly describe the survey and discuss some of the science that we anticipate
can be done with this data set.
| astro-ph | the faint irregular galaxies gmrt survey figgs is a large program aimed at providing a comprehensive and statistically robust characterisation of the neutral ism properties of faint m_b 145 nearby gas rich dwarf irregular galaxies using the giant metrewave radio telescope gmrt here we briefly describe the survey and discuss some of the science that we anticipate can be done with this data set | [['the', 'faint', 'irregular', 'galaxies', 'gmrt', 'survey', 'figgs', 'is', 'a', 'large', 'program', 'aimed', 'at', 'providing', 'a', 'comprehensive', 'and', 'statistically', 'robust', 'characterisation', 'of', 'the', 'neutral', 'ism', 'properties', 'of', 'faint', 'm_b', '145', 'nearby', 'gas', 'rich', 'dwarf', 'irregular', 'galaxies', 'using', 'the', 'giant', 'metrewave', 'radio', 'telescope', 'gmrt', 'here', 'we', 'briefly', 'describe', 'the', 'survey', 'and', 'discuss', 'some', 'of', 'the', 'science', 'that', 'we', 'anticipate', 'can', 'be', 'done', 'with', 'this', 'data', 'set']] | [-0.10650628990060795, 0.052959747743443586, -0.1024704411465791, 0.11147153856836667, -0.20066557722748257, -0.047481170382525306, 0.0555812536040321, 0.4422738431021571, -0.09758328711905051, -0.33521393151022494, 0.1118892125232378, -0.28518247218744364, -0.12295430623635184, 0.21338261113123735, -0.005163091031135991, -0.0669813143031206, 0.10667598459986039, -0.21477582420629915, -0.03693133480192046, -0.284986913913599, 0.26500367307744455, 0.11856804203125648, 0.15362437527801376, -0.09707011346472427, 0.06548343299982662, -0.14679608408550848, -0.17540053981065284, -0.05106024906854145, -0.17975008481573695, 0.019439531737589277, 0.32202097748449887, 0.16266706015449017, 0.2355210224777693, -0.35499574078130536, -0.08692758422694169, 0.0924952814966673, 0.17648942007508595, 0.06016297521273373, -0.09433888633793686, -0.3925166133994935, 0.10812859736324754, -0.19101729356043506, -0.29433856634568656, 0.032899050900596194, -0.001500222395407036, 0.07580581889487803, -0.14195388596272096, 0.07761306091560982, -0.032071229157736525, 0.18651007667904196, -0.060145965280753444, -0.14640785613846674, 0.00802889641818183, 0.07149194174417062, -0.086005953624408, 0.052556874572474044, 0.16038990872038994, -0.14774142261376255, 0.017685858947515953, 0.3733236460830085, -0.08428535805433057, 0.11624185554683208, 0.2611792229799903, -0.22928719913761597, -0.29591622996667866, 0.1210424031560251, 0.20599514478817582, 0.07811260983726243, -0.24931729937088676, 0.061294940909647266, -0.06016734446166083, 0.1998379432479851, -0.016692495952156605, 0.10048994086537277, 0.36610754308640026, 0.16861300297023263, 0.07359134418220492, 0.15155219644839235, -0.27801111404551193, 0.06871097981638741, -0.2420616369927302, -0.06793924438534304, -0.1448817919481371, 0.12052236968884245, -0.06646708937432777, -0.08895096968626603, 0.38357509730849415, 0.10256066190413549, 0.20033582556789042, 0.09002058098849375, 0.36863547055691015, 0.0052360128886448365, 0.09471237810794264, 0.09837256374157732, 0.2615719627015096, 0.15857045286975335, 0.10034583589003887, -0.2211407323848107, -0.02343605863279663, -0.05323535947536584] |
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