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708.4149 | On the complexity of nonnegative matrix factorization | Nonnegative matrix factorization (NMF) has become a prominent technique for
the analysis of image databases, text databases and other information retrieval
and clustering applications. In this report, we define an exact version of NMF.
Then we establish several results about exact NMF: (1) that it is equivalent to
a problem in polyhedral combinatorics; (2) that it is NP-hard; and (3) that a
polynomial-time local search heuristic exists.
| cs.NA cs.IR | nonnegative matrix factorization nmf has become a prominent technique for the analysis of image databases text databases and other information retrieval and clustering applications in this report we define an exact version of nmf then we establish several results about exact nmf 1 that it is equivalent to a problem in polyhedral combinatorics 2 that it is nphard and 3 that a polynomialtime local search heuristic exists | [['nonnegative', 'matrix', 'factorization', 'nmf', 'has', 'become', 'a', 'prominent', 'technique', 'for', 'the', 'analysis', 'of', 'image', 'databases', 'text', 'databases', 'and', 'other', 'information', 'retrieval', 'and', 'clustering', 'applications', 'in', 'this', 'report', 'we', 'define', 'an', 'exact', 'version', 'of', 'nmf', 'then', 'we', 'establish', 'several', 'results', 'about', 'exact', 'nmf', '1', 'that', 'it', 'is', 'equivalent', 'to', 'a', 'problem', 'in', 'polyhedral', 'combinatorics', '2', 'that', 'it', 'is', 'nphard', 'and', '3', 'that', 'a', 'polynomialtime', 'local', 'search', 'heuristic', 'exists']] | [-0.0744086822682519, -0.05681526456388763, -0.14868156064246127, 0.13909137078887546, -0.10751491121482104, -0.2076116499574438, 0.0015987484340569866, 0.4457101080177435, -0.3391947889728333, -0.2831851002315421, 0.17634972735002302, -0.3077639283876477, -0.20400318151701297, 0.11386497702741467, -0.0525377178286661, 0.058740334981468634, 0.09918290379443276, 0.055450167062122434, -0.09357074045214746, -0.25589857714723296, 0.29650139156728983, -0.02797621216124563, 0.24402731002322328, 0.09929583153562314, 0.1076049133301226, 0.018383676220954798, -0.05798571092535311, 0.04177828679389473, -0.12026167686830132, 0.14252664119443065, 0.34719879513801033, 0.2948684610648831, 0.28224975694276727, -0.3382464118524274, -0.1257621886016655, 0.15560805519570164, 0.16116523948400768, 0.10519472850180829, -0.09065774125186031, -0.22919928260258773, 0.16967007859762925, -0.13781881337957597, -0.0013150313396507235, -0.13048002769155845, 0.09107306401537203, -0.0733867625135984, -0.28874096958272494, 0.038677992479903486, 0.1027898886866534, 0.025860606984638455, -0.047899421638072426, -0.19564592967560487, 0.14421435209588884, 0.06972215408737313, 0.036642956365431564, 0.08321910871213663, 0.07185302314751629, -0.14011792197420414, -0.16823635787577995, 0.3747332363125326, -0.013153826605890002, -0.20778410775767667, 0.15112627533945575, -0.011750160104859231, -0.25058346981210494, 0.14190579047287577, 0.13296561646483726, 0.1505571957399596, -0.13636999086601964, 0.10054402039890219, -0.15751185165301188, 0.219376166865452, 0.05739529827025844, -0.0010551844806924685, 0.09311628874057709, 0.17660953325511358, 0.14084979727753064, 0.14570565755850873, -0.04407848510891199, -0.04869648445842426, -0.1873420631485199, -0.14325272612649, -0.23272055130688224, 0.03927379806435653, -0.1668412450472077, -0.1963632393336452, 0.3651285275483309, 0.18992090789529967, 0.1546773614514786, 0.08750963970017966, 0.33584317909866407, 0.06141183551039491, 0.02165565095536077, 0.10009921339354408, 0.14257565718283183, 0.1421358619552495, 0.10450393517515552, -0.11921210354194045, 0.030808640046239788, 0.10217598714490435] |
708.415 | Compact radio sources and jet-driven AGN feedback in the early Universe:
Constraints from integral-field spectroscopy | To investigate the impact of radio jets during the formation epoch of their
massive host galaxies, we present an analysis of two massive, log(M_stel/
M_sun)~10.6 and 11.3, compact radio galaxies at z=3.5, TNJ0205+2242 and
TNJ0121+1320. Their small radio sizes (R<= 10 kpc) are most likely a sign of
youth. We compare their radio properties and gas dynamics with those in well
extended radio galaxies at high redshift, which show strong evidence for
powerful, jet-driven outflows of significant gas masses (M 10^9-10 M_sun). Our
analysis combines rest-frame optical integral-field spectroscopy with existing
radio imaging, CO emission line spectra, and rest-frame UV spectroscopy.
[OIII]5007 line emission is compact in both galaxies and lies within the region
defined by the radio lobes. For TNJ0205+2242, the Ly-alpha profile narrows
significantly outside the jet radius, indicating the presence of a quiescent
halo. TNJ0121+1320 has two components separated by ~10 kpc and a velocity
offset of ~300 km s^-1. If motions are gravitational, this implies a dynamical
mass of 2x10^11 M_sun for the more massive, radio-loud component. The dynamical
mass, molecular gas mass measured from the CO line emission, and radio
luminosity of these two compact radio galaxies imply that compact radio sources
may well develop large-scale, energetic outflows as observed in extended radio
galaxies, with the potential of removing significant fractions of the ISM from
the host galaxy. The absence of luminous emission line gas extending beyond the
radio emission in these sources agrees with the observed timescales and outflow
rates in extended radio galaxies, and adds further evidence that the energetic,
large-scale outflows observed in extended radio sources (Nesvadba et al. 2006)
are indeed the result of influence of the radio jet.
| astro-ph | to investigate the impact of radio jets during the formation epoch of their massive host galaxies we present an analysis of two massive logm_stel m_sun106 and 113 compact radio galaxies at z35 tnj02052242 and tnj01211320 their small radio sizes r 10 kpc are most likely a sign of youth we compare their radio properties and gas dynamics with those in well extended radio galaxies at high redshift which show strong evidence for powerful jetdriven outflows of significant gas masses m 10910 m_sun our analysis combines restframe optical integralfield spectroscopy with existing radio imaging co emission line spectra and restframe uv spectroscopy oiii5007 line emission is compact in both galaxies and lies within the region defined by the radio lobes for tnj02052242 the lyalpha profile narrows significantly outside the jet radius indicating the presence of a quiescent halo tnj01211320 has two components separated by 10 kpc and a velocity offset of 300 km s1 if motions are gravitational this implies a dynamical mass of 2x1011 m_sun for the more massive radioloud component the dynamical mass molecular gas mass measured from the co line emission and radio luminosity of these two compact radio galaxies imply that compact radio sources may well develop largescale energetic outflows as observed in extended radio galaxies with the potential of removing significant fractions of the ism from the host galaxy the absence of luminous emission line gas extending beyond the radio emission in these sources agrees with the observed timescales and outflow rates in extended radio galaxies and adds further evidence that the energetic largescale outflows observed in extended radio sources nesvadba et al 2006 are indeed the result of influence of the radio jet | [['to', 'investigate', 'the', 'impact', 'of', 'radio', 'jets', 'during', 'the', 'formation', 'epoch', 'of', 'their', 'massive', 'host', 'galaxies', 'we', 'present', 'an', 'analysis', 'of', 'two', 'massive', 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708.4151 | Unipotent flows on products of $SL(2,K)/\Gamma$'s | We give a simplified and a direct proof of a special case of Ratner's theorem
on closures and uniform distribution of individual orbits of unipotent flows;
namely, the case of orbits of the diagonally embedded unipotent subgroup acting
on $SL(2,K)/\Gamma_1\times ...\times SL(2,K)/\Gamma_n$, where $K$ is a locally
compact field of characteristic 0 and each $\Gamma_i$ is a cocompact discrete
subgroup of $SL(2,K)$. This special case of Ratner's theorem plays a crucial
role in the proofs of uniform distribution of Heegner points by Vatsal, and
Mazur conjecture on Heegner points by C. Cornut; and their generalizations in
their joint work on CM-points and quaternion algebras. A purpose of the article
is to make the ergodic theoretic results accessible to a wide audience.
| math.RT math.NT | we give a simplified and a direct proof of a special case of ratners theorem on closures and uniform distribution of individual orbits of unipotent flows namely the case of orbits of the diagonally embedded unipotent subgroup acting on sl2kgamma_1times times sl2kgamma_n where k is a locally compact field of characteristic 0 and each gamma_i is a cocompact discrete subgroup of sl2k this special case of ratners theorem plays a crucial role in the proofs of uniform distribution of heegner points by vatsal and mazur conjecture on heegner points by c cornut and their generalizations in their joint work on cmpoints and quaternion algebras a purpose of the article is to make the ergodic theoretic results accessible to a wide audience | [['we', 'give', 'a', 'simplified', 'and', 'a', 'direct', 'proof', 'of', 'a', 'special', 'case', 'of', 'ratners', 'theorem', 'on', 'closures', 'and', 'uniform', 'distribution', 'of', 'individual', 'orbits', 'of', 'unipotent', 'flows', 'namely', 'the', 'case', 'of', 'orbits', 'of', 'the', 'diagonally', 'embedded', 'unipotent', 'subgroup', 'acting', 'on', 'sl2kgamma_1times', 'times', 'sl2kgamma_n', 'where', 'k', 'is', 'a', 'locally', 'compact', 'field', 'of', 'characteristic', '0', 'and', 'each', 'gamma_i', 'is', 'a', 'cocompact', 'discrete', 'subgroup', 'of', 'sl2k', 'this', 'special', 'case', 'of', 'ratners', 'theorem', 'plays', 'a', 'crucial', 'role', 'in', 'the', 'proofs', 'of', 'uniform', 'distribution', 'of', 'heegner', 'points', 'by', 'vatsal', 'and', 'mazur', 'conjecture', 'on', 'heegner', 'points', 'by', 'c', 'cornut', 'and', 'their', 'generalizations', 'in', 'their', 'joint', 'work', 'on', 'cmpoints', 'and', 'quaternion', 'algebras', 'a', 'purpose', 'of', 'the', 'article', 'is', 'to', 'make', 'the', 'ergodic', 'theoretic', 'results', 'accessible', 'to', 'a', 'wide', 'audience']] | [-0.22325199986993874, 0.0626336371295248, -0.12939533085108368, 0.03621884575700622, -0.09084297119866774, -0.12578175552267612, 0.05862418101795268, 0.2985950107725353, -0.2490230083363835, -0.1876109601546298, 0.1048367559076326, -0.22842914163635872, -0.10523302933717725, 0.24948041258035464, -0.14616812067497678, 0.002379637135255362, 0.05105420608198693, 0.09017893440919701, -0.06562561441619857, -0.26911107654988514, 0.395154913543027, -0.011382522970289305, 0.24237956856416554, 0.07602399902246079, 0.0734872950315319, 0.06862707200123608, -0.04192627958577721, -0.06393501714278921, -0.14710158887593186, 0.14955177156943358, 0.27084735001460847, 0.03455694991715659, 0.27257910462589385, -0.3635517175665454, -0.14061615991547016, 0.18203091770097488, 0.13208549262705346, 0.005872903942490513, -0.03832104966874007, -0.2843410549626662, 0.09957263325468223, -0.1576332952592428, -0.18892185851743742, -0.03219103576818935, 0.08267018400981803, 0.048543620009382234, -0.2528437589370536, 0.03286653411566835, 0.19324956122324058, 0.17666191851305424, -0.05033538982804332, -0.11723249445536307, -0.035029023940510606, 0.10645338078616422, 0.022472852428185464, 0.03373015982181053, 0.11914284363342058, -0.06645127841146241, -0.08855963984167814, 0.4133570501267785, -0.054209044477080595, -0.21444672451769353, 0.15126284308919385, -0.1384872404267589, -0.17566078646155467, 0.08203586245526974, 0.16179600021872326, 0.19268052761262955, -0.026362872588596924, 0.18032581033282952, -0.16569128593805582, 0.04283507388406003, 0.09673702204991289, -0.029677388860898858, 0.16399236592785024, 0.0751305594570747, 0.09357673306988568, 0.12806303945698722, 0.013638059674183047, -0.06350154167592932, -0.3473432613458453, -0.20411739564899886, -0.14148968635635653, 0.13634901266044178, -0.10794752164149046, -0.17755745571231893, 0.4047771470480356, 0.048506562097170275, 0.1632072611696267, 0.10337486580609023, 0.21429634728946356, 0.06088437847773537, 0.0015418322555360799, 0.05861360194286754, 0.09964398814349615, 0.26199767216179176, -0.023889898056430475, -0.11744550436426017, -0.013795967714688858, 0.19165643498872822] |
708.4152 | Estimation in hidden Markov models via efficient importance sampling | Given a sequence of observations from a discrete-time, finite-state hidden
Markov model, we would like to estimate the sampling distribution of a
statistic. The bootstrap method is employed to approximate the confidence
regions of a multi-dimensional parameter. We propose an importance sampling
formula for efficient simulation in this context. Our approach consists of
constructing a locally asymptotically normal (LAN) family of probability
distributions around the default resampling rule and then minimizing the
asymptotic variance within the LAN family. The solution of this minimization
problem characterizes the asymptotically optimal resampling scheme, which is
given by a tilting formula. The implementation of the tilting formula is
facilitated by solving a Poisson equation. A few numerical examples are given
to demonstrate the efficiency of the proposed importance sampling scheme.
| stat.CO math.ST stat.TH | given a sequence of observations from a discretetime finitestate hidden markov model we would like to estimate the sampling distribution of a statistic the bootstrap method is employed to approximate the confidence regions of a multidimensional parameter we propose an importance sampling formula for efficient simulation in this context our approach consists of constructing a locally asymptotically normal lan family of probability distributions around the default resampling rule and then minimizing the asymptotic variance within the lan family the solution of this minimization problem characterizes the asymptotically optimal resampling scheme which is given by a tilting formula the implementation of the tilting formula is facilitated by solving a poisson equation a few numerical examples are given to demonstrate the efficiency of the proposed importance sampling scheme | [['given', 'a', 'sequence', 'of', 'observations', 'from', 'a', 'discretetime', 'finitestate', 'hidden', 'markov', 'model', 'we', 'would', 'like', 'to', 'estimate', 'the', 'sampling', 'distribution', 'of', 'a', 'statistic', 'the', 'bootstrap', 'method', 'is', 'employed', 'to', 'approximate', 'the', 'confidence', 'regions', 'of', 'a', 'multidimensional', 'parameter', 'we', 'propose', 'an', 'importance', 'sampling', 'formula', 'for', 'efficient', 'simulation', 'in', 'this', 'context', 'our', 'approach', 'consists', 'of', 'constructing', 'a', 'locally', 'asymptotically', 'normal', 'lan', 'family', 'of', 'probability', 'distributions', 'around', 'the', 'default', 'resampling', 'rule', 'and', 'then', 'minimizing', 'the', 'asymptotic', 'variance', 'within', 'the', 'lan', 'family', 'the', 'solution', 'of', 'this', 'minimization', 'problem', 'characterizes', 'the', 'asymptotically', 'optimal', 'resampling', 'scheme', 'which', 'is', 'given', 'by', 'a', 'tilting', 'formula', 'the', 'implementation', 'of', 'the', 'tilting', 'formula', 'is', 'facilitated', 'by', 'solving', 'a', 'poisson', 'equation', 'a', 'few', 'numerical', 'examples', 'are', 'given', 'to', 'demonstrate', 'the', 'efficiency', 'of', 'the', 'proposed', 'importance', 'sampling', 'scheme']] | [-0.11307508290730535, 0.04463600182255808, -0.11095269795669804, 0.09081795503542318, -0.0642748111563306, -0.12775982523869192, 0.12082231626106751, 0.3687811184837113, -0.28465565465508946, -0.2783114259826049, 0.1139437675666404, -0.21044592213417804, -0.15034345308889724, 0.1854558298345803, -0.0971035889575317, 0.09280482412866568, 0.05533854111046013, 0.008617289089006447, -0.05898069331629409, -0.23349550509888176, 0.2695425262098156, 0.09320553882224929, 0.34490416789545664, -0.06663778534026019, 0.16924159971457567, 0.028353786520985146, -0.045578102433374006, 0.00037857948521536494, -0.1463381085112425, 0.1464650575394949, 0.2485032037735754, 0.1599565064091058, 0.3580205959216174, -0.3202792605799105, -0.17532908555031532, 0.12987582539282147, 0.15636490343049878, 0.12059570706194445, -0.06354371546619823, -0.27099536162328036, 0.10804963025027915, -0.21452242576069983, -0.14065635511291302, -0.054217102357171594, -0.04778588864590145, 0.042374154781952264, -0.3537283900622574, 0.06648200552999264, 0.06668651591069878, 0.007549590482893918, -0.04252761851123992, -0.0842881112106307, 0.009014058553258934, 0.049479857959326294, 0.03276590272758363, -0.007372837077589735, 0.1042459808622158, -0.08268038557088446, -0.11740876290400232, 0.29561343209888225, -0.037092372893341004, -0.269083960506592, 0.0985663650660879, -0.08725594548833748, -0.1298095027062421, 0.14642772049317876, 0.13762816950117077, 0.19314805345262387, -0.17804399708522453, 0.09531488890772583, -0.054036979001784134, 0.0949804252309222, 0.02874208068556433, -0.035339765509383544, 0.1557746930565271, 0.20807620676027405, 0.09003603956957776, 0.18513436856797882, -0.12336488134811617, -0.160992798796441, -0.3340709636641328, -0.14000719461205696, -0.23149438527420105, 0.016948904690613584, -0.15966552269766532, -0.19692091392501007, 0.3703117038823534, 0.1876445674237662, 0.1787761418178441, 0.13783426085461137, 0.2845464724796041, 0.15437873005441996, 0.000893917880834095, 0.0871677784404407, 0.12568204170684255, 0.13976217830915832, -0.00012894512139379033, -0.178418443961409, 0.10902417198910068, 0.13935387803108565] |
708.4153 | Cosmic reionization in a dynamic quintessence cosmology | In this paper we investigate the effects that a dynamic dark energy component
dominant in the universe at late epochs has on reionization. We follow the
evolution of HII regions with the analytic approach of Furlanetto and Oh (2005)
in two different universes for which we assume the Peebles and Ratra (2003) and
Brax and Martin (2000) quintessence models and we compare our results to the
LCDM scenario. We show that, for a fixed ionization efficiency, at the same
cosmological epoch the topology of bubbles is dominated by high-mass objects
and the characteristic size of the ionized regions is slightly smaller than in
the LCDM model, especially at the latest stages of reionization, due to the
higher recombination efficiency. As a consequence, the bubbles' `epoch of
overlap' happens earlier than in LCDM. Finally, we show how the different
evolution of the HII regions affects the transmission of the high-z QSO
spectra, reducing the Lyman flux absorption at small optical depths.
| astro-ph | in this paper we investigate the effects that a dynamic dark energy component dominant in the universe at late epochs has on reionization we follow the evolution of hii regions with the analytic approach of furlanetto and oh 2005 in two different universes for which we assume the peebles and ratra 2003 and brax and martin 2000 quintessence models and we compare our results to the lcdm scenario we show that for a fixed ionization efficiency at the same cosmological epoch the topology of bubbles is dominated by highmass objects and the characteristic size of the ionized regions is slightly smaller than in the lcdm model especially at the latest stages of reionization due to the higher recombination efficiency as a consequence the bubbles epoch of overlap happens earlier than in lcdm finally we show how the different evolution of the hii regions affects the transmission of the highz qso spectra reducing the lyman flux absorption at small optical depths | [['in', 'this', 'paper', 'we', 'investigate', 'the', 'effects', 'that', 'a', 'dynamic', 'dark', 'energy', 'component', 'dominant', 'in', 'the', 'universe', 'at', 'late', 'epochs', 'has', 'on', 'reionization', 'we', 'follow', 'the', 'evolution', 'of', 'hii', 'regions', 'with', 'the', 'analytic', 'approach', 'of', 'furlanetto', 'and', 'oh', '2005', 'in', 'two', 'different', 'universes', 'for', 'which', 'we', 'assume', 'the', 'peebles', 'and', 'ratra', '2003', 'and', 'brax', 'and', 'martin', '2000', 'quintessence', 'models', 'and', 'we', 'compare', 'our', 'results', 'to', 'the', 'lcdm', 'scenario', 'we', 'show', 'that', 'for', 'a', 'fixed', 'ionization', 'efficiency', 'at', 'the', 'same', 'cosmological', 'epoch', 'the', 'topology', 'of', 'bubbles', 'is', 'dominated', 'by', 'highmass', 'objects', 'and', 'the', 'characteristic', 'size', 'of', 'the', 'ionized', 'regions', 'is', 'slightly', 'smaller', 'than', 'in', 'the', 'lcdm', 'model', 'especially', 'at', 'the', 'latest', 'stages', 'of', 'reionization', 'due', 'to', 'the', 'higher', 'recombination', 'efficiency', 'as', 'a', 'consequence', 'the', 'bubbles', 'epoch', 'of', 'overlap', 'happens', 'earlier', 'than', 'in', 'lcdm', 'finally', 'we', 'show', 'how', 'the', 'different', 'evolution', 'of', 'the', 'hii', 'regions', 'affects', 'the', 'transmission', 'of', 'the', 'highz', 'qso', 'spectra', 'reducing', 'the', 'lyman', 'flux', 'absorption', 'at', 'small', 'optical', 'depths']] | [-0.06319053170154802, 0.10116927497874713, -0.07671303120732773, 0.09478217684736592, -0.028485123396967536, -0.05755014137830585, 0.010649092469975585, 0.3844229568319861, -0.16123035906930455, -0.3109125728835352, 0.026806436056358508, -0.2721850910107605, -0.04693631183035905, 0.15348338684889312, -0.010942299379894393, -0.05427611042978242, 0.024228559804032556, -0.08298211289802566, -0.00657913711911533, -0.3012554234446725, 0.34732294468194597, 0.1420490831253119, 0.21439581010781694, 0.00506391329690814, 0.06428304869041312, -0.10027656779420795, -0.10202660848153755, -0.008359505675616673, -0.205435450832465, 0.03548942813067697, 0.20345341634485975, 0.12053438257862581, 0.23703392651368632, -0.3881342353881337, -0.2333805684975232, 0.11316862004350696, 0.18281560469331454, 0.12136315116586047, -0.017163496904686326, -0.24886791477474618, 0.05926557366619818, -0.17418159027874935, -0.12266468101606734, 0.0883257765090093, 0.023869435064261778, -0.017315650155069306, -0.22401547715999187, 0.15271281728637404, -0.0012262790551176295, 0.017947714959154835, -0.09486439377942588, -0.0843253581711906, -0.05536263545945985, 0.0652078035636805, 0.017886154054576765, -0.0013260724750580265, 0.1687328551117389, -0.1851820933734416, -0.0559092426294228, 0.3879049352020957, -0.11662889834824455, -0.02442595907195937, 0.23060894888603797, -0.2199060267274035, -0.17324881755630486, 0.14537382997805254, 0.11845270080375485, 0.10058211590803694, -0.07393403091409709, 0.07518824050275726, 0.0059684999563614834, 0.16207660346990452, 0.09500314365977829, 0.015009355102665722, 0.26485427756742863, 0.12392740373688867, 0.024625781155191363, 0.11145657263259637, -0.1389259550443967, -0.06185343138713506, -0.27671631561624965, -0.11418407143792138, -0.13267988580046222, 0.03872725198743865, -0.1474450146788513, -0.11410479758051224, 0.3938613946840633, 0.14962647420179565, 0.23402944640620263, 0.06289431342083844, 0.3129092713817954, 0.08378468996379525, 0.022324525323347187, 0.10959768106986303, 0.2994891404930968, 0.09044795736917877, 0.12365983627096284, -0.24938217602211807, 0.06201282517577056, 0.019150410589645617] |
708.4154 | Thermal Conductivity Minimum: A New Water Anomaly | We report a new anomaly of water, a minimum in the thermal conductivity in
the supercooled region. Our findings are consistent with the presence of a
liquid-liquid phase transition in water
| cond-mat.soft cond-mat.stat-mech | we report a new anomaly of water a minimum in the thermal conductivity in the supercooled region our findings are consistent with the presence of a liquidliquid phase transition in water | [['we', 'report', 'a', 'new', 'anomaly', 'of', 'water', 'a', 'minimum', 'in', 'the', 'thermal', 'conductivity', 'in', 'the', 'supercooled', 'region', 'our', 'findings', 'are', 'consistent', 'with', 'the', 'presence', 'of', 'a', 'liquidliquid', 'phase', 'transition', 'in', 'water']] | [-0.18436661949982086, 0.19034239045915105, -0.0783981382527629, -0.07558844839372943, -0.0012744572614469835, -0.055073760885504947, 0.1531479789484893, 0.32919840178933113, -0.1863019010502725, -0.26008432767083567, 0.11438780601301621, -0.3481570322427057, -0.19491190571458109, 0.10151498380207247, -0.013305441725195476, 0.05147658423670838, -0.005708180638330598, -0.010190051950273974, -0.07174003310501575, -0.11776137726020909, 0.2686052047797749, 0.032469257291766904, 0.26813709267204805, 0.19957057164321024, 0.040789723110895966, -0.13708691294455239, 0.07053710162759788, 0.05833680807582794, -0.16761741528828297, 0.04791218565116005, 0.2729947524926355, -0.04394868388772011, 0.15765721323869883, -0.411642880269116, -0.3104003494785678, 0.0720125883742566, 0.050874133969867424, 0.1417104173451662, -0.10688028760975407, -0.2597474109741949, 0.01623264111338123, -0.10406547015713107, -0.14014328802905737, -0.013218572032788107, -0.053832794960227706, -0.04391940296890454, -0.22521579626106447, 0.19224742628754146, 0.002664645593012533, 0.09568141139442882, -0.1402144684276033, -0.13155394534189854, -0.013779405346741118, 0.05261542617283281, 0.026090509288253322, 0.0240392938947245, 0.1908310403776986, -0.17686772571816559, -0.05995672902152423, 0.40104581728096933, -0.1558223935745416, -0.07270579436613668, 0.22057732850343229, -0.21080354640200252, -0.16026652834167884, 0.2869394651103404, 0.13520250607642434, 0.11509667418055958, -0.15287093247377104, -0.04967016474373879, -0.07323423196231166, 0.18407070672049397, -0.008643437897966753, -0.001047514228811187, 0.3363463017007997, 0.2951802322340588, 0.004510752015536831, 0.2417222118425754, -0.15619897974594946, -0.09869809923393111, -0.3141258367367329, -0.25509948604890414, -0.17217292198010029, -0.06790855076284177, -0.1165687964568215, -0.18940837645242292, 0.36210788233626273, 0.17951039732584068, 0.19533304437514273, 0.05237719617904194, 0.20968050589304296, 0.05356848722458967, 0.014256572711371606, 0.08518523915160087, 0.343465686325104, 0.1038645967961319, 0.18661822387648205, -0.30919326986035994, 0.10162609875682861, 0.003617964730027222] |
708.4155 | Coexistence of Social Norms based on In- and Out-group Interactions | The question how social norms can emerge from microscopic interactions
between individuals is a key problem in social sciences to explain collective
behavior. In this paper we propose an agent-based model to show that randomly
distributed social behavior by way of local interaction converges to a state
with a multimodal distribution of behavior. This can be interpreted as a
coexistence of different social norms, a result that goes beyond previous
investigations. The model is discrete in time and space, behavior is
characterized in a continuous state space. The adaptation of social behavior by
each agent is based on attractive and repulsive forces caused by friendly and
adversary relations among agents. The model is analyzed both analytically and
by means of spatio-temporal computer simulations. It provides conditions under
which we find convergence towards a single norm, coexistence of two opposing
norms, and coexistence of a multitude of norms. For the latter case, we also
show the evolution of the spatio-temporal distribution of behavior.
| nlin.AO cs.MA physics.soc-ph | the question how social norms can emerge from microscopic interactions between individuals is a key problem in social sciences to explain collective behavior in this paper we propose an agentbased model to show that randomly distributed social behavior by way of local interaction converges to a state with a multimodal distribution of behavior this can be interpreted as a coexistence of different social norms a result that goes beyond previous investigations the model is discrete in time and space behavior is characterized in a continuous state space the adaptation of social behavior by each agent is based on attractive and repulsive forces caused by friendly and adversary relations among agents the model is analyzed both analytically and by means of spatiotemporal computer simulations it provides conditions under which we find convergence towards a single norm coexistence of two opposing norms and coexistence of a multitude of norms for the latter case we also show the evolution of the spatiotemporal distribution of behavior | [['the', 'question', 'how', 'social', 'norms', 'can', 'emerge', 'from', 'microscopic', 'interactions', 'between', 'individuals', 'is', 'a', 'key', 'problem', 'in', 'social', 'sciences', 'to', 'explain', 'collective', 'behavior', 'in', 'this', 'paper', 'we', 'propose', 'an', 'agentbased', 'model', 'to', 'show', 'that', 'randomly', 'distributed', 'social', 'behavior', 'by', 'way', 'of', 'local', 'interaction', 'converges', 'to', 'a', 'state', 'with', 'a', 'multimodal', 'distribution', 'of', 'behavior', 'this', 'can', 'be', 'interpreted', 'as', 'a', 'coexistence', 'of', 'different', 'social', 'norms', 'a', 'result', 'that', 'goes', 'beyond', 'previous', 'investigations', 'the', 'model', 'is', 'discrete', 'in', 'time', 'and', 'space', 'behavior', 'is', 'characterized', 'in', 'a', 'continuous', 'state', 'space', 'the', 'adaptation', 'of', 'social', 'behavior', 'by', 'each', 'agent', 'is', 'based', 'on', 'attractive', 'and', 'repulsive', 'forces', 'caused', 'by', 'friendly', 'and', 'adversary', 'relations', 'among', 'agents', 'the', 'model', 'is', 'analyzed', 'both', 'analytically', 'and', 'by', 'means', 'of', 'spatiotemporal', 'computer', 'simulations', 'it', 'provides', 'conditions', 'under', 'which', 'we', 'find', 'convergence', 'towards', 'a', 'single', 'norm', 'coexistence', 'of', 'two', 'opposing', 'norms', 'and', 'coexistence', 'of', 'a', 'multitude', 'of', 'norms', 'for', 'the', 'latter', 'case', 'we', 'also', 'show', 'the', 'evolution', 'of', 'the', 'spatiotemporal', 'distribution', 'of', 'behavior']] | [-0.13175266899436533, 0.12616489385191804, -0.13385857703264106, 0.06847651944320396, -0.05429327322808267, -0.12659852557965082, 0.04437260920638909, 0.3884322624653578, -0.311153382908001, -0.2826908136786962, 0.04506470366484589, -0.26904248841966355, -0.23458399575341632, 0.12530643683369558, -0.04799827346308985, 0.002682648852099607, 0.01987705203304987, 0.034818607560692376, 0.0055358363588536045, -0.21844225363047035, 0.344671227475542, 0.01725771430776351, 0.30655444434119594, 0.04020625815754124, 0.08144503162115996, 0.0035350874560758656, 0.038521716969783334, 0.048591267555753735, -0.10624884905332749, 0.12220488059610495, 0.2617391367751191, 0.13895410830787394, 0.3714708665006415, -0.4249411380711805, -0.24120872280916866, 0.11915484223842483, 0.16578265799232472, 0.0857791790593542, -0.0376286267491207, -0.3225498323854818, 0.05080854689938097, -0.17681823723179138, -0.14093110245870955, -0.0932040554528803, -0.0021097033376587027, 0.05671904853079468, -0.2966230818139458, 0.0822610353551917, 0.047075066126216154, 0.08931856071518987, -0.0891934983305817, -0.03234258280308158, 0.010568888967189893, 0.18055008550499346, 0.08819765160923351, -0.028721375571259148, 0.12941819770882526, -0.1413805543281207, -0.1314434252685097, 0.3862862260149861, -0.04975643661448065, -0.1948570722360509, 0.2107977690189548, -0.09951733392490833, -0.0958851683609271, 0.08337700848444653, 0.19988880174257506, 0.0820510473596737, -0.1680249549207036, 0.05477400094286516, -0.06546474360849386, 0.16515279941858702, 0.01812355057048945, 0.019802351890384783, 0.16797909879321118, 0.21273389224388442, 0.10111072394467982, 0.13527961508988942, -0.007512527758709764, -0.17219411321041853, -0.2582670175642879, -0.11406503442278201, -0.1958029429934183, 0.042001266202050046, -0.10633475613019668, -0.12135730058897609, 0.3835469429254716, 0.1473234349352963, 0.21562960554765145, 0.06315262615752557, 0.25073169677426327, 0.06482032317320391, -0.0007736980627624341, 0.06125056812536822, 0.20687123984788303, 0.048987224295643374, 0.1271272251514695, -0.20964543353105078, 0.14838892423237363, 0.054880973752904225] |
708.4156 | A limit result for a system of particles in random environment | We consider an infinite system of particles in one dimension, each particle
performs independant Sinai's random walk in random environment. Considering an
instant $t$, large enough, we prove a result in probability showing that the
particles are trapped in the neighborhood of well defined points of the lattice
depending on the random environment the time $t$ and the starting point of the
particles.
| math.PR | we consider an infinite system of particles in one dimension each particle performs independant sinais random walk in random environment considering an instant t large enough we prove a result in probability showing that the particles are trapped in the neighborhood of well defined points of the lattice depending on the random environment the time t and the starting point of the particles | [['we', 'consider', 'an', 'infinite', 'system', 'of', 'particles', 'in', 'one', 'dimension', 'each', 'particle', 'performs', 'independant', 'sinais', 'random', 'walk', 'in', 'random', 'environment', 'considering', 'an', 'instant', 't', 'large', 'enough', 'we', 'prove', 'a', 'result', 'in', 'probability', 'showing', 'that', 'the', 'particles', 'are', 'trapped', 'in', 'the', 'neighborhood', 'of', 'well', 'defined', 'points', 'of', 'the', 'lattice', 'depending', 'on', 'the', 'random', 'environment', 'the', 'time', 't', 'and', 'the', 'starting', 'point', 'of', 'the', 'particles']] | [-0.1729265729349757, 0.2384774476065234, -0.07227972785513552, 0.014897494469695384, 0.05089844724104282, -0.14214320302689595, 0.08061972452652832, 0.35161796277241103, -0.25598439090840874, -0.22217716032727844, 0.06446705135472473, -0.30046484441984267, -0.0952846848198937, 0.12149948870120127, -0.05425059300337341, 0.03921628999154246, 0.05816749453781143, 0.1353853016182603, 0.015146495068504934, -0.28238339512608945, 0.285261702256292, 0.04186463349365762, 0.1921889301507719, 0.008980456562269302, 0.16267936175969977, 0.08619340748289629, -0.02293975047382807, 0.03936092663438074, -0.10258408074531915, -0.010005955776524923, 0.15222337626157298, 0.07224994622141359, 0.25463283836605055, -0.41484675609639715, -0.18034818163880753, 0.14978029270700755, 0.14575183715316511, 0.11797695732601578, -0.03747481729887012, -0.2920843473088647, 0.062076077445424975, -0.10593321107860122, -0.2049188587725872, 0.030364799887008433, 0.03875986726895448, 0.07918072710671122, -0.29408579578416216, 0.02139705035924202, 0.10830266382138704, 0.05287402205997043, -0.033227121080493645, -0.07984064822269989, 0.0020246130658224935, 0.137025634187185, 0.01628374620082064, 0.024135712652452408, 0.1867780618162619, -0.10294429104893453, -0.12972481096429483, 0.40285599970125724, -0.10413058501638708, -0.21112668644341212, 0.21998920987936713, -0.20305213312958442, -0.13902254091457478, 0.08756494173587906, 0.18671620275736564, 0.16338563293573402, -0.12395186487230517, 0.1699203633590572, -0.0829952269467333, 0.12882405586239498, 0.05419873106219466, 0.01335619425489789, 0.16533945909597808, 0.172623074620903, 0.1288993912822907, 0.1619446718148769, -0.07044542888696823, -0.15018289528107123, -0.31282703909609055, -0.17620820282322783, -0.2975099114553323, 0.06470270905761964, -0.19008675827399923, -0.1993473842000914, 0.35517581930709263, 0.15090338641866333, 0.2852497720529163, 0.06577591085067344, 0.2062900425304496, 0.12862245213713439, -0.026683145099216037, 0.13050694418479764, 0.12635510227095986, 0.07024597249452084, 0.08516046403360272, -0.1506898155702012, 0.037035653559816265, 0.10686299355611914] |
708.4157 | On the scaling limit of a singular integral operator | The scaling limit and Schauder bounds are derived for a singular integral
operator arising from a difference equation approach to monodromy problems.
| math.CV | the scaling limit and schauder bounds are derived for a singular integral operator arising from a difference equation approach to monodromy problems | [['the', 'scaling', 'limit', 'and', 'schauder', 'bounds', 'are', 'derived', 'for', 'a', 'singular', 'integral', 'operator', 'arising', 'from', 'a', 'difference', 'equation', 'approach', 'to', 'monodromy', 'problems']] | [-0.1368713356046514, 0.010372234000401064, -0.1781886929476803, 0.14956632432189176, -0.13662137302824043, -0.12914295261725783, 0.05690048516473987, 0.23631219261071898, -0.3821599707007408, -0.19798605414954099, 0.18543181018057195, -0.3803309683095325, -0.13714047707617283, 0.29190616648305545, -0.06598734781569378, 0.15075787525116044, 0.11054609217469326, 0.03228971912440928, -0.1874495540237562, -0.1344092392193323, 0.4190122654492205, -0.105129299685359, 0.21604965470561927, 0.02405090257525444, 0.17047467810863798, -0.06690544743006202, -0.009014024102891033, -0.01570013182407076, -0.16878747948530046, 0.196994206614115, 0.3093048815393228, -0.008641167797825554, 0.22096056409811188, -0.3756943095306104, -0.18701859656721354, 0.1764671610329639, 0.16342539562505076, 0.04631360865790735, -0.0210638595321639, -0.2894897152754394, 0.029376250734044748, -0.12069599686021154, -0.23978606780821626, -0.05659249932928519, 0.015027066438712856, 0.02353114078075371, -0.37012771948833356, 0.13638479888058183, 0.02781050330535932, 0.04453870671039278, -0.1350452638950876, -0.1415211349006065, 0.0104653403501619, 0.06835081644186919, 0.026167092844843864, -0.022481529867615212, 0.0875642637468197, -0.09977498222989115, -0.07150480803102255, 0.3429129012458196, -0.08721701754257083, -0.25964419882405887, 0.0493990897772495, -0.07179910310713405, -0.13392116586593064, 0.09957968540997668, 0.10809434340758757, 0.13115685716779393, -0.1544131860560314, 0.21153398213474164, -0.05879719733175906, 0.053520308384163814, 0.09651631216349249, 0.026818736414001745, 0.06761465374041688, 0.04310768681832335, 0.12786472855474462, 0.07701093483377587, 0.02167305382053283, -0.1573171422562816, -0.37915898486971855, -0.06946884146468206, -0.19652513935315338, 0.12084663257172162, -0.17256127128480744, -0.21774111010282385, 0.26875670948489144, 0.1160480413924564, 0.17109780572354794, 0.15683167715641586, 0.23382861141792752, 0.31156305503100157, 0.0009034180336377838, 0.03542788779701699, 0.1979709058492021, 0.25142581798982894, 0.10861059684645046, -0.20561422190671277, -0.08390486092222008, 0.3186237752776254] |
708.4158 | Application of Small-Angular Magnetooptic Polarimetry for Study of
Magnetogyration in (Ga0.3In0.7)2Se3 and SiO2 Crystals | We present the results of studies for magnetogyration (MG) effect in
(Ga0.3In0.7)2Se3 and SiO2 crystals performed with the small-angular
polarimetric mapping technique. It is shown that the MG effect magnitude is
comparable with the experimental error.
| physics.optics | we present the results of studies for magnetogyration mg effect in ga03in072se3 and sio2 crystals performed with the smallangular polarimetric mapping technique it is shown that the mg effect magnitude is comparable with the experimental error | [['we', 'present', 'the', 'results', 'of', 'studies', 'for', 'magnetogyration', 'mg', 'effect', 'in', 'ga03in072se3', 'and', 'sio2', 'crystals', 'performed', 'with', 'the', 'smallangular', 'polarimetric', 'mapping', 'technique', 'it', 'is', 'shown', 'that', 'the', 'mg', 'effect', 'magnitude', 'is', 'comparable', 'with', 'the', 'experimental', 'error']] | [-0.04235381861422759, 0.06096041518920923, -0.05512323279810302, -0.004416323944871479, -0.008885259657879086, -0.12159820391303476, 0.011642932364552775, 0.48536859540378346, -0.1554022102671511, -0.3342047200045165, 0.06798046952976353, -0.3199083001955467, -0.16849274670376496, 0.2520672815906651, 0.00040067283107953915, 0.05709209019208655, 0.10304141859523952, -0.05164166578256032, -0.08261916739181341, -0.26638022640391307, 0.25884827513329906, 0.09638181928654804, 0.3077740600496969, 0.07879091773236938, 0.05155191061032169, -0.06732688347042046, -0.011950743740753215, 0.10773114569704323, -0.14989252898757352, 0.08162364856723477, 0.216077090405366, 0.020684294402599335, 0.19520731555188403, -0.38547709077487097, -0.23260846150600734, 0.037164425723912084, 0.06279514894327697, 0.1170306227662984, -0.11794897478402537, -0.2890553516609704, 0.11769091417355572, -0.08360996319200187, -0.07021694474250954, -0.003134183613035609, -0.0064785252736114405, -0.030813531073577264, -0.3008490559809348, 0.05889081842649509, 0.062461441601900494, 0.09866065638797249, -0.10363360560115646, -0.1749399866196601, -0.004376001587575849, 0.07229719305520549, 0.0452123283107272, 0.029957901439903414, 0.1485666760983055, -0.01985562625615036, -0.10136119599508889, 0.39619238762294545, -0.14808826099204667, -0.1648551274830585, 0.14279316056191044, -0.19991272060638843, -0.09118325887795757, 0.15403296425938606, 0.09228553346303456, 0.15306459224837668, -0.07301629581214751, 0.051287371019819096, -0.016595701632254264, 0.23423264602966168, -0.0399045396650977, 0.06469893966363195, 0.1089063284042127, 0.23328261167797096, 0.0354172374251956, 0.15153715609545437, -0.18464502830551388, 0.041069612235707396, -0.22499379449907472, -0.18098800744423094, -0.1689754499889472, 0.029055676258662167, -0.08305876895139912, -0.09773124108238228, 0.3292183093041839, 0.18484006767325542, 0.14697246815023177, -0.0035666566725601166, 0.2881191971109194, 0.0750555459766046, 0.11420352768618613, 0.013351911514559212, 0.3177885117337984, 0.16433989804457216, 0.09915267791160766, -0.2974211523473701, 0.09410103176282171, 0.02500456793452887] |
708.4159 | O'KKLT at Finite Temperature | We study whether finite temperature corrections decompactify the internal
space in KKLT compactifications with an uplifting sector given by a system that
exhibits metastable dynamical supersymmetry breaking. More precisely, we
calculate the one-loop temperature corrections to the effective potential of
the volume modulus in the KKLT model coupled to the quantum corrected
O'Raifeartaigh model. We prove that for the original KKLT model, namely with
one exponent in the non-perturbative superpotential, the finite temperature
potential is runaway when at zero temperature there is a dS minimum. On the
other hand, for a non-perturbative superpotential of the race-track type with
two exponents, we demonstrate that the temperature-dependent part of the
effective potential can have local minima at finite field vevs. However, rather
unexpectedly, it turns out that these minima do not affect the structure of the
full effective potential and so the volume modulus is stabilized at the local
minimum of the zero temperature potential for the whole range of validity of
the supergravity approximation.
| hep-th | we study whether finite temperature corrections decompactify the internal space in kklt compactifications with an uplifting sector given by a system that exhibits metastable dynamical supersymmetry breaking more precisely we calculate the oneloop temperature corrections to the effective potential of the volume modulus in the kklt model coupled to the quantum corrected oraifeartaigh model we prove that for the original kklt model namely with one exponent in the nonperturbative superpotential the finite temperature potential is runaway when at zero temperature there is a ds minimum on the other hand for a nonperturbative superpotential of the racetrack type with two exponents we demonstrate that the temperaturedependent part of the effective potential can have local minima at finite field vevs however rather unexpectedly it turns out that these minima do not affect the structure of the full effective potential and so the volume modulus is stabilized at the local minimum of the zero temperature potential for the whole range of validity of the supergravity approximation | [['we', 'study', 'whether', 'finite', 'temperature', 'corrections', 'decompactify', 'the', 'internal', 'space', 'in', 'kklt', 'compactifications', 'with', 'an', 'uplifting', 'sector', 'given', 'by', 'a', 'system', 'that', 'exhibits', 'metastable', 'dynamical', 'supersymmetry', 'breaking', 'more', 'precisely', 'we', 'calculate', 'the', 'oneloop', 'temperature', 'corrections', 'to', 'the', 'effective', 'potential', 'of', 'the', 'volume', 'modulus', 'in', 'the', 'kklt', 'model', 'coupled', 'to', 'the', 'quantum', 'corrected', 'oraifeartaigh', 'model', 'we', 'prove', 'that', 'for', 'the', 'original', 'kklt', 'model', 'namely', 'with', 'one', 'exponent', 'in', 'the', 'nonperturbative', 'superpotential', 'the', 'finite', 'temperature', 'potential', 'is', 'runaway', 'when', 'at', 'zero', 'temperature', 'there', 'is', 'a', 'ds', 'minimum', 'on', 'the', 'other', 'hand', 'for', 'a', 'nonperturbative', 'superpotential', 'of', 'the', 'racetrack', 'type', 'with', 'two', 'exponents', 'we', 'demonstrate', 'that', 'the', 'temperaturedependent', 'part', 'of', 'the', 'effective', 'potential', 'can', 'have', 'local', 'minima', 'at', 'finite', 'field', 'vevs', 'however', 'rather', 'unexpectedly', 'it', 'turns', 'out', 'that', 'these', 'minima', 'do', 'not', 'affect', 'the', 'structure', 'of', 'the', 'full', 'effective', 'potential', 'and', 'so', 'the', 'volume', 'modulus', 'is', 'stabilized', 'at', 'the', 'local', 'minimum', 'of', 'the', 'zero', 'temperature', 'potential', 'for', 'the', 'whole', 'range', 'of', 'validity', 'of', 'the', 'supergravity', 'approximation']] | [-0.13882953476480728, 0.18014869130256891, -0.10687774066896139, 0.09486652784937981, -0.05517931509530172, -0.16199786417783335, 0.055430596252971906, 0.29890246580546276, -0.2252573599193268, -0.24990418015699262, 0.09330074612602614, -0.26968156993731945, -0.12174325203237359, 0.13293084645846664, -0.02210261504182969, 0.013971872227780659, -0.034178503948989455, 0.0657019374243618, -0.0828109716973696, -0.2804116853098585, 0.3299158781458355, 0.03580443950389952, 0.25940284116102236, 0.11626984949503666, 0.08337728863159206, -0.040552435303535424, 0.05165132848785882, 0.040743781038541406, -0.14852849812696092, 0.0586957575630488, 0.1729329302421331, 0.011453431118222559, 0.19678380563312375, -0.3909120354058644, -0.23704465273539163, 0.1660336980701887, 0.14510568755284592, 0.15247325722179575, -0.03240961728710753, -0.2104090599148917, 0.10078646380031493, -0.15441268927166296, -0.18101240852504877, -0.1069757386533532, 0.02178051152217996, -0.06897901760719923, -0.26048112742244295, 0.09872937409590753, -0.0362764388171776, 0.044755769642127075, -0.09188034205177537, -0.1081644031140622, -0.09597821069589925, 0.06809975705598767, 0.09048550422774754, 0.03369269530757393, 0.15066081733711384, -0.1735575341653833, -0.04975710013892753, 0.36304210893741234, -0.09825066170023834, -0.1583285300043966, 0.13614661919033053, -0.13497692464273767, -0.10867868674679036, 0.14166780150398336, 0.09722647732238006, 0.10864109255122079, -0.12156354035388327, 0.20675739755624037, 0.03488944835412356, 0.16221453489427187, 0.057091989310206905, 0.024386152183705587, 0.23894631239282757, 0.13378915591758214, 0.07620100481285674, 0.12326297283056906, -0.042551949158870825, -0.13202140075754534, -0.4046372617337784, -0.09912935698953418, -0.1519348363254928, 0.07154824025509379, -0.15882582536838202, -0.205387353877097, 0.40398527051327876, 0.14326458222352745, 0.1838265743715106, 0.04957670875842129, 0.2459681393961462, 0.11741395896312101, 0.11833485037744033, 0.03839919967876827, 0.2877609713654394, 0.09204514023699323, 0.09806813880518377, -0.3030651457339205, -0.03692316455606577, 0.11859799898086698] |
708.416 | Overcritical PT-symmetric square well potential in the Dirac equation | We study scattering properties of a PT-symmetric square well potential with
real depth larger than the threshold of particle-antiparticle pair production
as the time component of a vector potential in the (1+1)-dimensional Dirac
equation.
| quant-ph | we study scattering properties of a ptsymmetric square well potential with real depth larger than the threshold of particleantiparticle pair production as the time component of a vector potential in the 11dimensional dirac equation | [['we', 'study', 'scattering', 'properties', 'of', 'a', 'ptsymmetric', 'square', 'well', 'potential', 'with', 'real', 'depth', 'larger', 'than', 'the', 'threshold', 'of', 'particleantiparticle', 'pair', 'production', 'as', 'the', 'time', 'component', 'of', 'a', 'vector', 'potential', 'in', 'the', '11dimensional', 'dirac', 'equation']] | [-0.13747959605226404, 0.16330187602708227, -0.021308629472246942, 0.04820492466473404, -0.06100566450314706, -0.12751064167412765, -0.023951451222220546, 0.3265870788737255, -0.23130214915556066, -0.25178577537264896, 0.020513171600588763, -0.35607777338694124, -0.16658664015395677, 0.14425973402445808, 0.1242715703213916, 0.10730534578290056, 0.026368757504421997, 0.10437830851194174, -0.07412352056845146, -0.22483393785488956, 0.34745515220086365, 0.022278079393265003, 0.2223283725735896, 0.10023718043093514, 0.05615850094267551, 0.07387407199370072, 0.052210546655046264, -0.017384195974206224, -0.07982490855433486, 0.05742414355935419, 0.13748110978014985, 0.05229382940074977, 0.19053139797795346, -0.38520783602314834, -0.23719657593242385, 0.18966591804671815, 0.1716012015719624, 0.10600519160438768, -0.08581020721398733, -0.3117406118715949, 0.03681721045252155, -0.1639529261738062, -0.2327690778628868, 0.023547239779659054, 0.065766232636045, 0.022186900646535352, -0.2502303673502277, 0.12607781605466323, 0.00500496822368244, 0.052269106491140145, -0.09130171204999309, -0.12029104768846403, -0.09783218645572882, 0.0008335690945386887, 0.018938700723297456, 0.020468946169678343, 0.10376773967736345, -0.21529438738327691, -0.141303323510596, 0.4310292901799959, -0.16093204991749885, -0.20369857670191457, 0.13651617967030583, -0.13877836195752025, 0.0036018945495871935, 0.11927483569118469, 0.222731641274603, 0.10803838057772201, -0.14228123000494258, 0.10476556395673577, -0.04707613455898622, 0.1354441723224762, 0.05268728177008383, 0.07046515987638165, 0.17950037236818495, 0.20313135194866097, 0.057236893650363475, 0.1541567245251773, -0.09836495908744194, -0.13601245939978124, -0.3754429527941872, -0.2048687899540014, -0.18960976332206936, 0.10685694991843775, -0.08916898619602709, -0.20546019444351687, 0.4394082697108388, 0.09860835695529685, 0.2535750842379296, 0.022983889780281222, 0.2659349937868469, 0.21295269378392465, 0.09874156626927502, 0.0058068469824159846, 0.2227852782508468, 0.18224333226680756, 0.11549853155498996, -0.23003487733042086, -0.06442908889285344, 0.053628412951879645] |
708.4161 | Generation of arbitrarily two-point correlated random networks | Random networks are intensively used as null models to investigate properties
of complex networks. We describe an efficient and accurate algorithm to
generate arbitrarily two-point correlated undirected random networks without
self- or multiple-edges among vertices. With the goal to systematically
investigate the influence of two-point correlations, we furthermore develop a
formalism to construct a joint degree distribution $P(j,k)$ which allows to fix
an arbitrary degree distribution $P(k)$ and an arbitrary average nearest
neighbor function $\knn(k)$ simultaneously. Using the presented algorithm, this
formalism is demonstrated with scale-free networks ($P(k) \propto k^{-\gamma}$)
and empirical complex networks ($P(k)$ taken from network) as examples.
Finally, we generalize our algorithm to annealed networks which allows networks
to be represented in a mean-field like manner.
| cond-mat.stat-mech cond-mat.dis-nn | random networks are intensively used as null models to investigate properties of complex networks we describe an efficient and accurate algorithm to generate arbitrarily twopoint correlated undirected random networks without self or multipleedges among vertices with the goal to systematically investigate the influence of twopoint correlations we furthermore develop a formalism to construct a joint degree distribution pjk which allows to fix an arbitrary degree distribution pk and an arbitrary average nearest neighbor function knnk simultaneously using the presented algorithm this formalism is demonstrated with scalefree networks pk propto kgamma and empirical complex networks pk taken from network as examples finally we generalize our algorithm to annealed networks which allows networks to be represented in a meanfield like manner | [['random', 'networks', 'are', 'intensively', 'used', 'as', 'null', 'models', 'to', 'investigate', 'properties', 'of', 'complex', 'networks', 'we', 'describe', 'an', 'efficient', 'and', 'accurate', 'algorithm', 'to', 'generate', 'arbitrarily', 'twopoint', 'correlated', 'undirected', 'random', 'networks', 'without', 'self', 'or', 'multipleedges', 'among', 'vertices', 'with', 'the', 'goal', 'to', 'systematically', 'investigate', 'the', 'influence', 'of', 'twopoint', 'correlations', 'we', 'furthermore', 'develop', 'a', 'formalism', 'to', 'construct', 'a', 'joint', 'degree', 'distribution', 'pjk', 'which', 'allows', 'to', 'fix', 'an', 'arbitrary', 'degree', 'distribution', 'pk', 'and', 'an', 'arbitrary', 'average', 'nearest', 'neighbor', 'function', 'knnk', 'simultaneously', 'using', 'the', 'presented', 'algorithm', 'this', 'formalism', 'is', 'demonstrated', 'with', 'scalefree', 'networks', 'pk', 'propto', 'kgamma', 'and', 'empirical', 'complex', 'networks', 'pk', 'taken', 'from', 'network', 'as', 'examples', 'finally', 'we', 'generalize', 'our', 'algorithm', 'to', 'annealed', 'networks', 'which', 'allows', 'networks', 'to', 'be', 'represented', 'in', 'a', 'meanfield', 'like', 'manner']] | [-0.10951633468015581, 0.04842271446387192, -0.08916339017132409, 0.11689363488465802, -0.047760710856503144, -0.17057408052138412, 0.01495431146871012, 0.4552813389012192, -0.25884685286869985, -0.2968854036373206, -0.02076806027032276, -0.2642197142293951, -0.24230095663139772, 0.12220502499705897, 0.0053356442113932315, 0.08319350492018156, 0.01001326523275457, 0.0445426678022322, -0.016862034320067137, -0.2575260612170379, 0.2962573348051017, 0.07902151315958582, 0.2794533846899867, -0.0036846309856503694, 0.09658169009698889, 0.05082225136092713, -0.022244199494777534, 0.06100953335209121, -0.13708606286324623, 0.13740564455302098, 0.22684583827221003, 0.12061030973290277, 0.25331734259350175, -0.424013400498109, -0.24445765060929853, 0.2170490803849748, 0.16982835963762438, 0.12001687498229882, 0.0646004374143986, -0.2778871928572527, 0.12423457318725876, -0.1869610489893836, -0.1579984047322765, -0.14304198363385937, 0.010574134369181771, 0.05387839160682474, -0.3357765776479346, 0.02949454351208913, 0.010152494248289328, 0.03395485024676364, 0.021745843491437405, -0.10126943284303395, -0.001309395144876634, 0.1520826644821363, -0.031512304537523635, 0.07240385690337828, 0.09853115626889417, -0.08936674463309936, -0.14295361556001326, 0.33553273409692586, -0.05923023889424343, -0.2204046820401827, 0.15251128133844075, -0.07268857542011473, -0.16221734925181183, 0.07510383722857915, 0.2518429085293896, 0.13560542831810302, -0.17940376960059518, 0.03830729105607328, -0.007913052454654478, 0.15221241218810025, 0.0009082006230854836, -0.0017840894233658272, 0.13706220609422487, 0.13104073835425398, 0.05551502032257202, 0.18850850603945202, -0.05674652039455489, -0.10060188326284163, -0.20848701356185806, -0.06773953104801386, -0.22557766714658684, 0.07549078222045787, -0.14176189575036371, -0.17452436584469855, 0.39964282086803615, 0.15635616144883788, 0.25661532519560337, 0.17739730570505127, 0.27882256012600964, 0.08005343748825705, 0.046661723214082226, 0.12811385239593875, 0.1299382952722506, 0.1693393408667105, 0.07013785822364764, -0.1506184943151684, 0.08932494918186949, 0.03502321871331869] |
708.4162 | Spin-Peierls-like phases in magnetoelastic $J_1-J_2$ antiferromagnetic
chain at 1/3 magnetization | We investigate elastic deformations of spin $S=1/2$ antiferromagnetic
$J_1-J_2$ Heisenberg chains, at $M=1/3$ magnetization, coupled to phonons in
the adiabatic approximation. Using a bosonization approach we predict the
existence of non-homogeneous trimerized magnetoelastic phases. A rich ground
state phase diagram is found, including classical and quantum plateau states
for the magnetic sector as well as inequivalent lattice deformations within
each magnetic phase. The analytical results are supported by exact
diagonalization of small clusters.
| cond-mat.str-el | we investigate elastic deformations of spin s12 antiferromagnetic j_1j_2 heisenberg chains at m13 magnetization coupled to phonons in the adiabatic approximation using a bosonization approach we predict the existence of nonhomogeneous trimerized magnetoelastic phases a rich ground state phase diagram is found including classical and quantum plateau states for the magnetic sector as well as inequivalent lattice deformations within each magnetic phase the analytical results are supported by exact diagonalization of small clusters | [['we', 'investigate', 'elastic', 'deformations', 'of', 'spin', 's12', 'antiferromagnetic', 'j_1j_2', 'heisenberg', 'chains', 'at', 'm13', 'magnetization', 'coupled', 'to', 'phonons', 'in', 'the', 'adiabatic', 'approximation', 'using', 'a', 'bosonization', 'approach', 'we', 'predict', 'the', 'existence', 'of', 'nonhomogeneous', 'trimerized', 'magnetoelastic', 'phases', 'a', 'rich', 'ground', 'state', 'phase', 'diagram', 'is', 'found', 'including', 'classical', 'and', 'quantum', 'plateau', 'states', 'for', 'the', 'magnetic', 'sector', 'as', 'well', 'as', 'inequivalent', 'lattice', 'deformations', 'within', 'each', 'magnetic', 'phase', 'the', 'analytical', 'results', 'are', 'supported', 'by', 'exact', 'diagonalization', 'of', 'small', 'clusters']] | [-0.21637614048405052, 0.2578749425505122, -0.017033665421839855, 0.08271713061290091, -0.06422452825402254, -0.13612000750097103, 0.06870807703801315, 0.38682418274501823, -0.2345297781316793, -0.2310695666309497, 0.058849420133748484, -0.31282049149581015, -0.10626396947629647, 0.11782183889809945, 0.1363822132227815, 0.025623283833775618, 0.02187496831334413, 0.014538064075965588, -0.14449266397891797, -0.19668590731772095, 0.23477608452818982, -0.05166279329529211, 0.291781937805553, 0.008391634969372456, 0.04199416870378876, 0.04297317379498727, 0.1923408728246003, 0.014693547040224075, -0.21603395844082515, 0.024262957070788294, 0.2774130520187573, -0.13848241545540624, 0.09502272850719012, -0.451461000623156, -0.2022118959448313, 0.013499687113225052, 0.1764686171137664, 0.21961401772927747, -0.013060734301091058, -0.3695965290503347, 0.0004960495519311461, -0.19993321155516863, -0.18779455281695198, -0.18834432099040035, -0.049518307237184214, 0.01031150460906633, -0.2298355464192031, 0.18286211995331392, 0.03548726740401646, 0.10617614849087821, -0.13111196022659335, -0.11183415296685256, -0.06329921197962679, 0.07118317507341351, 0.032863952828673264, 0.051709337523589805, 0.09932652566173714, -0.10051054475758837, -0.15604482365019415, 0.3540407674999474, -0.045682563714376866, -0.11878131056038586, 0.1490512648405992, -0.13902159681410547, -0.14365954159389008, 0.12428700444224762, 0.058011274874108294, 0.065857218891025, -0.11510188794656567, 0.130211952065073, -0.013202891488916764, 0.16742813765798528, -0.012254792332572683, 0.027857354453012143, 0.2608086182927228, 0.1873553782727008, 0.031134186739944024, 0.22529427855505213, -0.10568986056780774, -0.20051104512244258, -0.26411126271426066, -0.13490189164589886, -0.2409967623064167, 0.08015404808756015, -0.10420247724846687, -0.22419353705920178, 0.3646327769638945, 0.08594927857693745, 0.13560675036111106, -0.04452103477175513, 0.1892522810766958, 0.05318284799880667, -0.00905036903305413, 0.050345135359922806, 0.24145794673886609, 0.26749629255269386, 0.052591214173358596, -0.3270711388553761, -0.01127070192987584, 0.10657651045627586] |
708.4163 | Chemical evolution of neutron capture elements in our Galaxy and in the
dwarf spheroidal galaxies of the Local Group | By adopting a chemical evolution model for the Milky Way already reproducing
the evolution of several chemical elements, we compare our theoretical results
with accurate and new stellar data of neutron capture elements and we are able
to impose strong constraints on the nucleosynthesis of the studied elements. We
can suggest the stellar sites of production for each element. In particular,
the r-process component of each element (if any) is produced in the mass range
from 10 to 30 Msun, whereas the s-process component arises from stars in the
range from 1 to 3 Msun. Using the same chemical evolution model, extended to
different galactocentric distances, we obtain results on the radial gradients
of the Milky Way. We compare the results of the model not only for the neutron
capture elements but also for alpha-elements and iron peak elements with new
data of Cepheids stars. We give a possible explanation to the considerable
scatter of neutron capture elements observed in low metallicity stars in the
solar vicinity, compared to the small star to star scatter observed for the
alpha-elements. In fact, we have developed a stochastic chemical evolution
model, in which the main assumption is a random formation of new stars, subject
to the condition that the cumulative mass distribution follows a given initial
mass function. With our model we are able to reproduce the different features
of neutron capture elements and alpha-elements. Finally, we test the
prescriptions for neutron capture elements also for the dwarf spheroidal
galaxies of the Local Group. We predict that the chemical evolution of these
elements in dwarf spheroidal galaxies is different from the evolution in the
solar vicinity and indicates that dwarf spheroidal galaxies (we see nowadays)
cannot be the building blocks of our Galaxy.
| astro-ph | by adopting a chemical evolution model for the milky way already reproducing the evolution of several chemical elements we compare our theoretical results with accurate and new stellar data of neutron capture elements and we are able to impose strong constraints on the nucleosynthesis of the studied elements we can suggest the stellar sites of production for each element in particular the rprocess component of each element if any is produced in the mass range from 10 to 30 msun whereas the sprocess component arises from stars in the range from 1 to 3 msun using the same chemical evolution model extended to different galactocentric distances we obtain results on the radial gradients of the milky way we compare the results of the model not only for the neutron capture elements but also for alphaelements and iron peak elements with new data of cepheids stars we give a possible explanation to the considerable scatter of neutron capture elements observed in low metallicity stars in the solar vicinity compared to the small star to star scatter observed for the alphaelements in fact we have developed a stochastic chemical evolution model in which the main assumption is a random formation of new stars subject to the condition that the cumulative mass distribution follows a given initial mass function with our model we are able to reproduce the different features of neutron capture elements and alphaelements finally we test the prescriptions for neutron capture elements also for the dwarf spheroidal galaxies of the local group we predict that the chemical evolution of these elements in dwarf spheroidal galaxies is different from the evolution in the solar vicinity and indicates that dwarf spheroidal galaxies we see nowadays cannot be the building blocks of our galaxy | [['by', 'adopting', 'a', 'chemical', 'evolution', 'model', 'for', 'the', 'milky', 'way', 'already', 'reproducing', 'the', 'evolution', 'of', 'several', 'chemical', 'elements', 'we', 'compare', 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708.4164 | Asymptotic improvement of the Gilbert-Varshamov bound for linear codes | The Gilbert-Varshamov bound states that the maximum size A_2(n,d) of a binary
code of length n and minimum distance d satisfies A_2(n,d) >= 2^n/V(n,d-1)
where V(n,d) stands for the volume of a Hamming ball of radius d. Recently
Jiang and Vardy showed that for binary non-linear codes this bound can be
improved to A_2(n,d) >= cn2^n/V(n,d-1) for c a constant and d/n <= 0.499. In
this paper we show that certain asymptotic families of linear binary [n,n/2]
random double circulant codes satisfy the same improved Gilbert-Varshamov
bound.
| cs.IT math.IT | the gilbertvarshamov bound states that the maximum size a_2nd of a binary code of length n and minimum distance d satisfies a_2nd 2nvnd1 where vnd stands for the volume of a hamming ball of radius d recently jiang and vardy showed that for binary nonlinear codes this bound can be improved to a_2nd cn2nvnd1 for c a constant and dn 0499 in this paper we show that certain asymptotic families of linear binary nn2 random double circulant codes satisfy the same improved gilbertvarshamov bound | [['the', 'gilbertvarshamov', 'bound', 'states', 'that', 'the', 'maximum', 'size', 'a_2nd', 'of', 'a', 'binary', 'code', 'of', 'length', 'n', 'and', 'minimum', 'distance', 'd', 'satisfies', 'a_2nd', '2nvnd1', 'where', 'vnd', 'stands', 'for', 'the', 'volume', 'of', 'a', 'hamming', 'ball', 'of', 'radius', 'd', 'recently', 'jiang', 'and', 'vardy', 'showed', 'that', 'for', 'binary', 'nonlinear', 'codes', 'this', 'bound', 'can', 'be', 'improved', 'to', 'a_2nd', 'cn2nvnd1', 'for', 'c', 'a', 'constant', 'and', 'dn', '0499', 'in', 'this', 'paper', 'we', 'show', 'that', 'certain', 'asymptotic', 'families', 'of', 'linear', 'binary', 'nn2', 'random', 'double', 'circulant', 'codes', 'satisfy', 'the', 'same', 'improved', 'gilbertvarshamov', 'bound']] | [-0.20424362180027655, 0.14524683222265505, -0.06140668505643744, 0.05435363387848001, -0.005826971124539651, -0.24318672048223272, 0.09806963218881454, 0.2697654893428723, -0.27783203726952393, -0.26628591797155576, 0.07998176700316324, -0.2656300372285087, -0.12863792859233644, 0.18573478665543583, -0.09892602025235935, 0.12953719001535963, 0.10242093384561197, 0.10119710026717768, -0.10891939279134953, -0.3518106503122509, 0.27039990783952994, 0.09853405529269721, 0.1831360517137843, 0.05736751209308461, 0.04551466711705959, 0.02995593957148674, 0.06194130272786247, 0.01039220029261054, -0.22597834079307377, 0.1101725976850281, 0.19943037487725476, 0.19484228581735274, 0.19212621454967233, -0.28809222644876414, -0.19657485834436444, 0.12610698139249552, 0.14294178571932517, 0.0677814391305352, -0.005159462989512377, -0.1662879768750494, 0.19444863949107324, -0.17475987455194317, -0.10615689494567583, 0.049173660053894286, 0.12385498250766498, 0.038878204471363524, -0.3527303258320544, 0.03319040149245865, 0.1495270914193697, -0.007405658241179659, -0.011237881396238396, -0.23194110029513335, 0.026027867218434083, 0.0561812034064177, -0.07099413586689568, 0.10163082642957749, -0.0006894419628490762, -0.025771132800955235, -0.0970392876951359, 0.27495307341734765, -0.10133844666273856, -0.16625442233209203, 0.08182633140624114, -0.1246953835574592, -0.13047209407327834, 0.09391335231853967, 0.2170246325137957, 0.15639851459233864, -0.05908832285644078, 0.16429829104340682, -0.12481693136250237, 0.21185335466104402, 0.179674484982814, 0.0841781949658492, 0.10005724157502012, 0.07194032092442418, 0.07293457984526801, 0.17946312924429617, -0.0675639648717351, -0.02070182644784814, -0.2709993660086539, -0.16915892998662369, -0.2333531948516327, 0.08715832779729148, -0.18884384458286194, -0.1673671446908429, 0.28830527262080735, 0.017093219879514922, 0.1980266811609376, 0.1519126480831424, 0.16601528255723236, 0.04360848710667796, 0.064199617460495, 0.20365113054016015, 0.18833636930893835, 0.18168974954140849, -0.05594590870470444, -0.2406124423269364, 0.05121930645105838, 0.16406202898928668] |
708.4165 | Penalized nonparametric mean square estimation of the coefficients of
diffusion processes | We consider a one-dimensional diffusion process $(X_t)$ which is observed at
$n+1$ discrete times with regular sampling interval $\Delta$. Assuming that
$(X_t)$ is strictly stationary, we propose nonparametric estimators of the
drift and diffusion coefficients obtained by a penalized least squares
approach. Our estimators belong to a finite-dimensional function space whose
dimension is selected by a data-driven method. We provide non-asymptotic risk
bounds for the estimators. When the sampling interval tends to zero while the
number of observations and the length of the observation time interval tend to
infinity, we show that our estimators reach the minimax optimal rates of
convergence. Numerical results based on exact simulations of diffusion
processes are given for several examples of models and illustrate the qualities
of our estimation algorithms.
| math.ST stat.TH | we consider a onedimensional diffusion process x_t which is observed at n1 discrete times with regular sampling interval delta assuming that x_t is strictly stationary we propose nonparametric estimators of the drift and diffusion coefficients obtained by a penalized least squares approach our estimators belong to a finitedimensional function space whose dimension is selected by a datadriven method we provide nonasymptotic risk bounds for the estimators when the sampling interval tends to zero while the number of observations and the length of the observation time interval tend to infinity we show that our estimators reach the minimax optimal rates of convergence numerical results based on exact simulations of diffusion processes are given for several examples of models and illustrate the qualities of our estimation algorithms | [['we', 'consider', 'a', 'onedimensional', 'diffusion', 'process', 'x_t', 'which', 'is', 'observed', 'at', 'n1', 'discrete', 'times', 'with', 'regular', 'sampling', 'interval', 'delta', 'assuming', 'that', 'x_t', 'is', 'strictly', 'stationary', 'we', 'propose', 'nonparametric', 'estimators', 'of', 'the', 'drift', 'and', 'diffusion', 'coefficients', 'obtained', 'by', 'a', 'penalized', 'least', 'squares', 'approach', 'our', 'estimators', 'belong', 'to', 'a', 'finitedimensional', 'function', 'space', 'whose', 'dimension', 'is', 'selected', 'by', 'a', 'datadriven', 'method', 'we', 'provide', 'nonasymptotic', 'risk', 'bounds', 'for', 'the', 'estimators', 'when', 'the', 'sampling', 'interval', 'tends', 'to', 'zero', 'while', 'the', 'number', 'of', 'observations', 'and', 'the', 'length', 'of', 'the', 'observation', 'time', 'interval', 'tend', 'to', 'infinity', 'we', 'show', 'that', 'our', 'estimators', 'reach', 'the', 'minimax', 'optimal', 'rates', 'of', 'convergence', 'numerical', 'results', 'based', 'on', 'exact', 'simulations', 'of', 'diffusion', 'processes', 'are', 'given', 'for', 'several', 'examples', 'of', 'models', 'and', 'illustrate', 'the', 'qualities', 'of', 'our', 'estimation', 'algorithms']] | [-0.06301855139061809, 0.07879438323155045, -0.0944738294146955, 0.07921052935214538, -0.032642052751034496, -0.16674278362095357, 0.07054773930180817, 0.4135753003805876, -0.26085876243561507, -0.22796774835139513, 0.18165822613425553, -0.27562147660553454, -0.1220935597345233, 0.19221989480406046, -0.07583872164040804, 0.10600927421450615, 0.07777232002094388, 0.035195515198865907, -0.07981280217086896, -0.3133961251694709, 0.2692504905788228, 0.03996667046099901, 0.25346271305531265, -0.03448466229811311, 0.16728941141301765, -0.017415488444268705, -0.041253814383409915, 0.010066640835022555, -0.23083750146313103, 0.10922602887824177, 0.2485391928864701, 0.10636331267748028, 0.3634165148809552, -0.33178454779088495, -0.20257499284297228, 0.1455388124845922, 0.16569340423122048, 0.06070296810660511, -0.0015232965918257832, -0.2590486119184643, 0.07740107916854322, -0.10769287669658661, -0.11107276825606822, -0.062265830755233766, -0.02041801739577204, 0.058853215379174796, -0.39979655238986017, 0.12034679224714637, 0.06854578486084938, 0.017289031453430654, -0.03749796838313341, -0.1610199814774096, 0.008318174043670296, 0.05637883190368302, 0.10789341523568145, -0.03472156798932701, 0.10866277083544992, -0.043424667481333015, -0.14652128621563315, 0.27564046657457947, -0.07347493598982692, -0.25903863065689803, 0.1775765867549926, -0.19247653619199992, -0.11175340127572417, 0.15975179888308047, 0.19688759232312442, 0.15513779519870877, -0.13050580784550403, 0.0989243065067567, -0.05008604729175568, 0.10410102479695342, 0.012538440618664026, -0.00012379580549895763, 0.11227987536415458, 0.17161235938221217, 0.14241166132315994, 0.10684994942881167, -0.11548059245105832, -0.09737004820257425, -0.34791047374904155, -0.10601619267975912, -0.22997586119920016, 0.03381126297265291, -0.18477854266355279, -0.18810996682103723, 0.3577035952135921, 0.17526246637851, 0.21764229012280703, 0.20313607900496572, 0.2634522842569277, 0.1718306304877624, -0.019917369313538075, 0.12589654059149324, 0.1516568323429674, 0.12346273751091212, 0.019249241076409816, -0.19294804438576102, 0.1030071908691898, 0.09526651420630515] |
708.4166 | Nonequlibrium Renormalization Theory III | In the present paper we develop the general theory of renormalization of some
nonequilibrium diagram technique. This technique roughly is the Keldysh diagram
technique. To develop our theory we have used the Bogoliubov -Parasiuk R -
operation method. Our theory can be used for the studing of the divergences in
kinetic equations.
| math-ph math.MP | in the present paper we develop the general theory of renormalization of some nonequilibrium diagram technique this technique roughly is the keldysh diagram technique to develop our theory we have used the bogoliubov parasiuk r operation method our theory can be used for the studing of the divergences in kinetic equations | [['in', 'the', 'present', 'paper', 'we', 'develop', 'the', 'general', 'theory', 'of', 'renormalization', 'of', 'some', 'nonequilibrium', 'diagram', 'technique', 'this', 'technique', 'roughly', 'is', 'the', 'keldysh', 'diagram', 'technique', 'to', 'develop', 'our', 'theory', 'we', 'have', 'used', 'the', 'bogoliubov', 'parasiuk', 'r', 'operation', 'method', 'our', 'theory', 'can', 'be', 'used', 'for', 'the', 'studing', 'of', 'the', 'divergences', 'in', 'kinetic', 'equations']] | [-0.08708079447038472, 0.10571907669305801, -0.2501595175266266, 0.0822434820793569, -0.04100196082144976, -0.08410848578438163, 0.05137441137805581, 0.33858756043016913, -0.251655548363924, -0.27458991680294276, 0.019849659907631576, -0.20466601844877005, -0.23631997268646956, 0.19083793990314007, -0.043640799187123776, 0.06738044649362564, -0.012786046788096427, -0.013823913410305977, -0.08197198247537017, -0.2512088413350284, 0.3146035529952496, -0.006217082671355456, 0.27305825628340247, 0.054848565403372046, 0.03847486920654774, 0.038760984968394044, -0.02714637016877532, 0.04365669509395957, -0.21465784892905504, 0.16213215915486218, 0.29541127491742375, 0.11567275490611792, 0.27254371277987954, -0.4249820293672383, -0.22992052361369134, 0.0036275699478574095, 0.16524247121531516, 0.18722587828524412, -0.027064520791172983, -0.21814184699207545, 0.060367521606385706, -0.239380759075284, -0.1821106842160225, -0.13741372659336776, -0.10384434055536985, -0.035512687228620055, -0.22653753273189067, 0.08201888669282198, 0.003368840832263231, 0.03594576168805361, -0.007573710903525353, -0.042192909901496024, 0.05069326614029705, 0.11267402675934136, 0.0007130624074488879, 0.04664740562438965, 0.10084276797249914, -0.06578431698027998, -0.06966293103992939, 0.35886569801718, -0.10657862760126591, -0.18777207043021918, 0.13268111275509, -0.117192317484878, -0.17583930682390927, 0.09092685375362634, 0.11957835290580988, 0.23425558321177958, -0.2096415664255619, 0.14642381512094288, -0.026405143663287164, 0.1080975903943181, -0.016907608602195978, -0.005665974117582664, 0.13326505983248352, 0.1472506690584123, 0.02580836114939302, 0.16772437121486292, -0.08751239594072104, -0.0947602710686624, -0.36900984644889834, -0.14214850281365216, -0.13715752866119146, 0.006026131645776331, -0.07293927346356213, -0.1882575861364603, 0.3967963148280978, 0.25363685897551475, 0.0910793673992157, 0.04363180760294199, 0.2902037573978305, 0.227954767155461, 0.050001953281462196, 0.03101932072080672, 0.22579543377563824, 0.20594251934438945, 0.10911722349002957, -0.2789301946107298, -0.03852833339013159, 0.1890233014896512] |
708.4167 | Understanding the newly observed Y(4008) by Belle | Very recently a new enhancement around 4.05 GeV was observed by Belle
experiment. In this short note, we discuss some possible assignments for this
enhancement, i.e. $\psi(3S)$ and $D^*\bar{D}^*$ molecular state. In these two
assignments, Y(4008) can decay into $J/\psi\pi^0\pi^0$ with comparable
branching ratio with that of $Y(4008)\to J/\psi\pi^+\pi^-$. Thus one suggests
high energy experimentalists to look for Y(4008) in $J/\psi\pi^0\pi^0$ channel.
Furthermore one proposes further experiments to search missing channel
$D\bar{D}$, $D\bar{D}^*+h.c.$ and especially $\chi_{cJ}\pi^+\pi^-\pi^0$ and
$\eta_c\pi^+\pi^-\pi^0$, which will be helpful to distinguish $\psi(3S)$ and
$D^*\bar{D}^*$ molecular state assignments for this new enhancement.
| hep-ph hep-ex nucl-ex nucl-th | very recently a new enhancement around 405 gev was observed by belle experiment in this short note we discuss some possible assignments for this enhancement ie psi3s and dbard molecular state in these two assignments y4008 can decay into jpsipi0pi0 with comparable branching ratio with that of y4008to jpsipipi thus one suggests high energy experimentalists to look for y4008 in jpsipi0pi0 channel furthermore one proposes further experiments to search missing channel dbard dbardhc and especially chi_cjpipipi0 and eta_cpipipi0 which will be helpful to distinguish psi3s and dbard molecular state assignments for this new enhancement | [['very', 'recently', 'a', 'new', 'enhancement', 'around', '405', 'gev', 'was', 'observed', 'by', 'belle', 'experiment', 'in', 'this', 'short', 'note', 'we', 'discuss', 'some', 'possible', 'assignments', 'for', 'this', 'enhancement', 'ie', 'psi3s', 'and', 'dbard', 'molecular', 'state', 'in', 'these', 'two', 'assignments', 'y4008', 'can', 'decay', 'into', 'jpsipi0pi0', 'with', 'comparable', 'branching', 'ratio', 'with', 'that', 'of', 'y4008to', 'jpsipipi', 'thus', 'one', 'suggests', 'high', 'energy', 'experimentalists', 'to', 'look', 'for', 'y4008', 'in', 'jpsipi0pi0', 'channel', 'furthermore', 'one', 'proposes', 'further', 'experiments', 'to', 'search', 'missing', 'channel', 'dbard', 'dbardhc', 'and', 'especially', 'chi_cjpipipi0', 'and', 'eta_cpipipi0', 'which', 'will', 'be', 'helpful', 'to', 'distinguish', 'psi3s', 'and', 'dbard', 'molecular', 'state', 'assignments', 'for', 'this', 'new', 'enhancement']] | [-0.09162665665369585, 0.1925151518261474, -0.08600613758899271, 0.13927011186282875, -0.07032403847357879, -0.20870959242909318, 0.11053678512366281, 0.36267810658448274, -0.20015402221017414, -0.3213644227892574, -0.011495064883234186, -0.2586528428002364, -0.06553729007331034, 0.12266548480062435, 0.027405085840210733, 0.08897147085517645, 0.13379290517833498, -0.008088763906723924, -0.016481579100945963, -0.17829989010675085, 0.24972787948532238, 0.07655766016493241, 0.22543019047006965, 0.14176441420697503, -0.013020688548891081, -0.03577902900740608, 0.033104659694557385, -0.07149719655927685, -0.13550890297928062, 0.08155427230004635, 0.31139013653414116, 0.12740635276875562, 0.17057276314331427, -0.3468859198968858, -0.10435966619600852, 0.1464223574536542, 0.20977246193215252, 0.08882652810360822, -0.07449311622314983, -0.355077673205071, 0.17905777482729818, -0.16641866335283137, -0.06937787634766816, -0.08976786264942752, 0.013689635595720675, -0.04885102150340875, -0.28542386206487813, 0.0686575737186811, -0.035667621923817526, 0.006541278006301986, -0.0444829720357019, -0.236950116040599, 0.039518761474432215, 0.02162252865317795, 0.042278371006250384, 0.09582486648319496, 0.13256078898492787, -0.13982060162298796, -0.16491107598671484, 0.33851212528016833, -0.06942882770155039, -0.1582340959407803, 0.19929315943089831, -0.17552361763082444, -0.19924799145923722, 0.18536412719016274, 0.15732083110035294, 0.0273630765997546, -0.17999126989808348, -0.03721759346986397, -0.037407674073862536, 0.17139564716101935, 0.08935170357581228, 0.088357006587709, 0.1978737831529644, 0.1961170037277043, 0.0002948063167019023, 0.12331482188957225, -0.11200786938683854, -0.07683151469164942, -0.2780098146189832, -0.17414021483725972, -0.08522958386973996, 0.09400589329242293, 0.043369211314064966, -0.02452125519824525, 0.3491606450587925, 0.12555623134701616, 0.29909909423440695, -0.018173950058149382, 0.24835136278222006, 0.07090075274722443, 0.046045025877861516, 0.053487028585126, 0.29437522451141074, 0.10893305590014077, 0.11382473197041286, -0.23194677457213403, 0.0767030968537761, -0.062377542397007345] |
708.4168 | Tensor charges of light baryons in the Infinite Momentum Frame | We have used the Chiral-Quark Soliton Model formulated in the Infinite
Momentum Frame to investigate the octet, decuplet and antidecuplet tensor
charges up to the 5Q level. Using flavor SU(3) symmetry we have obtained for
the proton $\delta u=1.172$ and $\delta d=-0.315$ in fair agreement previous
model estimations. The 5Q allowed us to estimate also the strange contribution
to the proton tensor charge $\delta s=-0.011$. All those values have been
obtained at the model scale Q^2=0.36 GeV^2.
| hep-ph | we have used the chiralquark soliton model formulated in the infinite momentum frame to investigate the octet decuplet and antidecuplet tensor charges up to the 5q level using flavor su3 symmetry we have obtained for the proton delta u1172 and delta d0315 in fair agreement previous model estimations the 5q allowed us to estimate also the strange contribution to the proton tensor charge delta s0011 all those values have been obtained at the model scale q2036 gev2 | [['we', 'have', 'used', 'the', 'chiralquark', 'soliton', 'model', 'formulated', 'in', 'the', 'infinite', 'momentum', 'frame', 'to', 'investigate', 'the', 'octet', 'decuplet', 'and', 'antidecuplet', 'tensor', 'charges', 'up', 'to', 'the', '5q', 'level', 'using', 'flavor', 'su3', 'symmetry', 'we', 'have', 'obtained', 'for', 'the', 'proton', 'delta', 'u1172', 'and', 'delta', 'd0315', 'in', 'fair', 'agreement', 'previous', 'model', 'estimations', 'the', '5q', 'allowed', 'us', 'to', 'estimate', 'also', 'the', 'strange', 'contribution', 'to', 'the', 'proton', 'tensor', 'charge', 'delta', 's0011', 'all', 'those', 'values', 'have', 'been', 'obtained', 'at', 'the', 'model', 'scale', 'q2036', 'gev2']] | [-0.0560092073035975, 0.18867765640048947, -0.0689879856606601, 0.13740818700051471, -0.05312285930706086, -0.10103228840855755, 0.06294396810539782, 0.37867268705612994, -0.15862141391230516, -0.2974542055330048, -0.03165323962457478, -0.31082973920115053, 0.035472840774797974, 0.07284545628928056, 0.0746779556781666, 0.0909550029416457, 0.010608281200266865, 0.08292560382069994, -0.08184160080368388, -0.19252026879726208, 0.28138937709266193, 0.024161155692824763, 0.26528122625632644, 0.11127629621617802, 0.06366995429262927, -0.024596967206540685, -0.008968270830299756, -0.029952106168110892, -0.18455692006542973, 0.0816731896659691, 0.2135653700583857, 0.009740924242603248, 0.11344018880252356, -0.4003795277174205, -0.15990381938890133, 0.13996543460972097, 0.12008914888568528, 0.14979134412635475, -0.0012711167258963193, -0.2760632320319953, 0.127839369950529, -0.2574029184291012, -0.18502099485429999, -0.1538195320634707, -0.010612380971545226, -0.04512324972614033, -0.29464428952244454, 0.10870959420572035, -0.050064069078597305, -0.006587875962308417, -0.09610653888076952, -0.2709037374628529, -0.056663948436561105, 0.10310102760000792, 0.12124358677171324, 0.11468954002428863, 0.06705910864617828, -0.13296601090784352, -0.09290301840599269, 0.3899236383133453, -0.06344502322273711, -0.22134818236203227, 0.06767678239114888, -0.1900813121807902, -0.15754602044463567, 0.07019108828565437, 0.14383673952407625, 0.07027211715148328, -0.16188851181315642, 0.1221913222768918, -0.05388599928876717, 0.17278329254931782, 0.11363806329908373, 0.04962740896486164, 0.17553900217969123, 0.11884357882280873, -0.02432256476787774, 0.05053742607570674, -0.065726988999913, -0.11496336043697514, -0.3197153808217343, -0.053576975856741815, -0.10866581553063827, 0.05351280330437912, -0.09557892019144412, -0.052453876281641935, 0.39723267564422465, 0.13244493789843295, 0.21519222162976503, 0.021059796086525265, 0.2379498623617708, 0.12011439941284463, 0.13014392313636738, 0.07410935390332382, 0.2833043244597183, 0.2034999886655236, 0.15408999286592007, -0.2844630228865841, -0.05501121412707518, 0.09924722575161556] |
708.4169 | Discovery of new nearby L and late-M dwarfs at low Galactic latitude
from the DENIS database | We report new nearby L and late-M dwarfs (d_phot <= 30 pc) discovered in our
search for nearby ultracool dwarfs (I-J >= 3.0, later than M8.0) at low
Galactic latitude (|b| < 15 degr) over 4,800 square degrees in the DENIS
database. We used late-M (>=M8.0), L, and T dwarfs with accurate trigonometric
parallaxes to calibrate the M_J versus I-J colour-luminosity relation. The
resulting photometric distances have standard errors of ~15%, which we used to
select candidates d_phot <= 30 pc. We measured proper motions from multi-epoch
images found in the public archives ALADIN, DSS, 2MASS, DENIS, with at least
three distinct epochs and time baselines of 10 to 21 years. We then used a
Maximum Reduced Proper Motion cutoff to select 28 candidates as ultracool
dwarfs (M8.0--L8.0) and to reject one as a distant red star. No T dwarf
candidates were found in this search which required an object to be detected in
all three DENIS bands. Our low-resolution optical spectra confirmed that 26 of
them were indeed ultracool dwarfs, with spectral types from M8.0 to L5.5. Two
contaminants and one rejected by the Maximum Reduced Proper Motion cutoff were
all reddened F-K main sequence stars. 20 of these 26 ultracool dwarfs are new
nearby ultracool dwarf members, three L dwarfs within 15 pc with one L3.5 at
only ~10 pc. We determine a stellar density of \bar{\Phi}_J cor=(1.64 +-
0.46).10^{-3} dwarfs pc^{-3} mag^{-1} over 11.1 <= M_J <= 13.1 based on that
sample of M8--L3.5 ultracool dwarfs. Our ultracool dwarf density value is in
good agreement with the Cruz et al. measurement of the ultracool dwarf density
at high Galactic latitude.
| astro-ph | we report new nearby l and latem dwarfs d_phot 30 pc discovered in our search for nearby ultracool dwarfs ij 30 later than m80 at low galactic latitude b 15 degr over 4800 square degrees in the denis database we used latem m80 l and t dwarfs with accurate trigonometric parallaxes to calibrate the m_j versus ij colourluminosity relation the resulting photometric distances have standard errors of 15 which we used to select candidates d_phot 30 pc we measured proper motions from multiepoch images found in the public archives aladin dss 2mass denis with at least three distinct epochs and time baselines of 10 to 21 years we then used a maximum reduced proper motion cutoff to select 28 candidates as ultracool dwarfs m80l80 and to reject one as a distant red star no t dwarf candidates were found in this search which required an object to be detected in all three denis bands our lowresolution optical spectra confirmed that 26 of them were indeed ultracool dwarfs with spectral types from m80 to l55 two contaminants and one rejected by the maximum reduced proper motion cutoff were all reddened fk main sequence stars 20 of these 26 ultracool dwarfs are new nearby ultracool dwarf members three l dwarfs within 15 pc with one l35 at only 10 pc we determine a stellar density of barphi_j cor164 046103 dwarfs pc3 mag1 over 111 m_j 131 based on that sample of m8l35 ultracool dwarfs our ultracool dwarf density value is in good agreement with the cruz et al measurement of the ultracool dwarf density at high galactic latitude | [['we', 'report', 'new', 'nearby', 'l', 'and', 'latem', 'dwarfs', 'd_phot', '30', 'pc', 'discovered', 'in', 'our', 'search', 'for', 'nearby', 'ultracool', 'dwarfs', 'ij', '30', 'later', 'than', 'm80', 'at', 'low', 'galactic', 'latitude', 'b', '15', 'degr', 'over', '4800', 'square', 'degrees', 'in', 'the', 'denis', 'database', 'we', 'used', 'latem', 'm80', 'l', 'and', 't', 'dwarfs', 'with', 'accurate', 'trigonometric', 'parallaxes', 'to', 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0.07387079506533092, -0.18567771648362508, -0.032947348775555385, 5.746566875347199e-06] |
708.417 | Raising a Hardness Result | This article presents a technique for proving problems hard for classes of
the polynomial hierarchy or for PSPACE. The rationale of this technique is that
some problem restrictions are able to simulate existential or universal
quantifiers. If this is the case, reductions from Quantified Boolean Formulae
(QBF) to these restrictions can be transformed into reductions from QBFs having
one more quantifier in the front. This means that a proof of hardness of a
problem at level n in the polynomial hierarchy can be split into n separate
proofs, which may be simpler than a proof directly showing a reduction from a
class of QBFs to the considered problem.
| cs.AI cs.CC cs.LO | this article presents a technique for proving problems hard for classes of the polynomial hierarchy or for pspace the rationale of this technique is that some problem restrictions are able to simulate existential or universal quantifiers if this is the case reductions from quantified boolean formulae qbf to these restrictions can be transformed into reductions from qbfs having one more quantifier in the front this means that a proof of hardness of a problem at level n in the polynomial hierarchy can be split into n separate proofs which may be simpler than a proof directly showing a reduction from a class of qbfs to the considered problem | [['this', 'article', 'presents', 'a', 'technique', 'for', 'proving', 'problems', 'hard', 'for', 'classes', 'of', 'the', 'polynomial', 'hierarchy', 'or', 'for', 'pspace', 'the', 'rationale', 'of', 'this', 'technique', 'is', 'that', 'some', 'problem', 'restrictions', 'are', 'able', 'to', 'simulate', 'existential', 'or', 'universal', 'quantifiers', 'if', 'this', 'is', 'the', 'case', 'reductions', 'from', 'quantified', 'boolean', 'formulae', 'qbf', 'to', 'these', 'restrictions', 'can', 'be', 'transformed', 'into', 'reductions', 'from', 'qbfs', 'having', 'one', 'more', 'quantifier', 'in', 'the', 'front', 'this', 'means', 'that', 'a', 'proof', 'of', 'hardness', 'of', 'a', 'problem', 'at', 'level', 'n', 'in', 'the', 'polynomial', 'hierarchy', 'can', 'be', 'split', 'into', 'n', 'separate', 'proofs', 'which', 'may', 'be', 'simpler', 'than', 'a', 'proof', 'directly', 'showing', 'a', 'reduction', 'from', 'a', 'class', 'of', 'qbfs', 'to', 'the', 'considered', 'problem']] | [-0.0675757502082248, 0.06817982317503872, -0.12343171878536749, 0.11051740308283586, -0.1301125129684806, -0.16691340519874184, 0.07177528326779052, 0.29571540167348254, -0.36207036546396987, -0.3256365334080463, 0.11420000058650556, -0.2164216185230072, -0.11685533878712535, 0.24823855308177709, -0.07265343686945185, 0.039182488991947914, 0.04338442757014289, 0.004306694285737144, -0.07988401920172489, -0.2857225759567141, 0.3120118492903809, -0.06509363490018856, 0.18624548175958572, 0.07989662735835062, 0.0775475360073701, -0.027680728532787826, 0.008950946759863722, 0.06460135298591384, -0.07191685309347425, 0.137909779011453, 0.31668946463011066, 0.19936634336718945, 0.2726623060664645, -0.41521351346401153, -0.138846124106311, 0.17641185351250763, 0.1657939916347257, 0.14538539939503944, 0.025267335167343304, -0.259172218746109, 0.10981772054435203, -0.13832039331275695, -0.10097822466330533, -0.04931346050256656, 0.023784874492169667, -0.024745300391697565, -0.2699775666328437, 0.003075908093402783, 0.17576511058939137, 0.032636788880659476, -0.02166900380850873, -0.11236212619028434, 0.07054871456973531, 0.04373440512292156, -0.01913412777206826, 0.015788983277970046, 0.0441798382844017, -0.10154632669959769, -0.14295866707753804, 0.3762598935669909, 0.010281940802896215, -0.2523150335581266, 0.13824232600961328, -0.05997385462924959, -0.19912763066262146, 0.149258538098635, 0.12178090591354433, 0.12967897058223132, -0.1329081700079971, 0.09414389712253103, -0.10381927382614878, 0.22450425905817947, 0.1352782977477613, 0.019742822214202198, 0.15801032464002707, 0.13565111872136454, 0.08990085676002006, 0.2280924326569894, 0.05581762627008612, -0.06843663529596394, -0.3089347514151423, -0.1646743348316738, -0.13362462635807418, 0.05243212450295687, -0.07761292291386915, -0.15051342380724642, 0.3738834753942986, 0.11032170236770374, 0.1535214475804457, 0.166877852991025, 0.294320592208317, 0.17695139066307564, 0.09148363107642918, 0.035221017664298415, 0.15202897322429904, 0.10260936451420465, 0.052257733295981004, -0.14672618691326567, 0.11510927685864132, 0.14323764027924174] |
708.4171 | Effect of phonon-phonon interactions on localization | We study the heat current J in a classical one-dimensional disordered chain
with on-site pinning and with ends connected to stochastic thermal reservoirs
at different temperatures. In the absence of anharmonicity all modes are
localized and there is a gap in the spectrum. Consequently J decays
exponentially with system size N. Using simulations we find that even a small
amount of anharmonicity leads to a J~1/N dependence, implying diffusive
transport of energy.
| cond-mat.dis-nn cond-mat.stat-mech | we study the heat current j in a classical onedimensional disordered chain with onsite pinning and with ends connected to stochastic thermal reservoirs at different temperatures in the absence of anharmonicity all modes are localized and there is a gap in the spectrum consequently j decays exponentially with system size n using simulations we find that even a small amount of anharmonicity leads to a j1n dependence implying diffusive transport of energy | [['we', 'study', 'the', 'heat', 'current', 'j', 'in', 'a', 'classical', 'onedimensional', 'disordered', 'chain', 'with', 'onsite', 'pinning', 'and', 'with', 'ends', 'connected', 'to', 'stochastic', 'thermal', 'reservoirs', 'at', 'different', 'temperatures', 'in', 'the', 'absence', 'of', 'anharmonicity', 'all', 'modes', 'are', 'localized', 'and', 'there', 'is', 'a', 'gap', 'in', 'the', 'spectrum', 'consequently', 'j', 'decays', 'exponentially', 'with', 'system', 'size', 'n', 'using', 'simulations', 'we', 'find', 'that', 'even', 'a', 'small', 'amount', 'of', 'anharmonicity', 'leads', 'to', 'a', 'j1n', 'dependence', 'implying', 'diffusive', 'transport', 'of', 'energy']] | [-0.20949518413464022, 0.24111713721423358, -0.01156126161933773, -0.005128137591075049, -0.0002139032949344255, -0.1647353672629429, 0.06711950464200021, 0.3619264304223988, -0.2691281402949244, -0.26649327555464375, 0.039824341226550236, -0.3522269107828227, -0.04771701852183065, 0.15822555216598427, 0.04669962829858479, -0.0360630739467322, 0.07963699406375074, -0.0052926368346864665, -0.030358699997628316, -0.196850635499383, 0.26759598428422277, 0.028699692306367472, 0.2603213877017778, 0.08942256340782882, 0.017894114436987567, -0.014705947490357276, 0.058604346555916384, 0.06528664131959279, -0.15277618635172985, 0.03918502239846728, 0.23218958192026345, -0.10058986419527274, 0.2479547812577544, -0.453705391044625, -0.208187082885868, 0.14260400702813866, 0.1353975938363874, 0.1492942537103469, -0.023296181435903743, -0.20220622186510204, 0.031355664082285434, -0.14339700862829988, -0.1573081146909519, -0.060704296487124845, 0.0584299758678147, 0.06106124744271963, -0.2739131151530374, 0.15579244768014178, 0.058327913530067436, 0.05666139834405234, -0.02977899143621067, -0.0894290317761867, -0.07245189968832871, 0.06873406425357745, 0.04253203976420789, -0.0056010974189525265, 0.13425915265300623, -0.10676659471614079, -0.05700045196863357, 0.3237202201206755, -0.10929333896233907, -0.16827164825776386, 0.2486854708598306, -0.1758510692872935, -0.09024062939634961, 0.18485965944960803, 0.09543001050284754, 0.03888072451162669, -0.13247035117415684, 0.12116346504222343, 0.013297649695434503, 0.16493991673754257, 0.02621591066579438, 0.06872619542991742, 0.21210620836872193, 0.1951094071717105, 0.08197805972950947, 0.17148217750299308, -0.08882477864487252, -0.1110723516321741, -0.2812515485178058, -0.12661777255642745, -0.2332340301444573, 0.12615407524733907, -0.0728788888789293, -0.18933868582826108, 0.36558376873532933, 0.12789344220114648, 0.21801092335307556, 0.051363092536727585, 0.22746664647840792, 0.14742576912976801, 0.03506489500998416, 0.16267270180267385, 0.20235075897330213, 0.1444643863166372, 0.10863099663240267, -0.3184657445526682, -0.00552174009822516, 0.014214264552315904] |
708.4172 | Monogenic Functions in Conformal Geometry | Monogenic functions are basic to Clifford analysis. On Euclidean space they
are defined as smooth functions with values in the corresponding Clifford
algebra satisfying a certain system of first order differential equations,
usually referred to as the Dirac equation. There are two equally natural
extensions of these equations to a Riemannian spin manifold only one of which
is conformally invariant. We present a straightforward exposition.
| math.DG math.AP math.CV | monogenic functions are basic to clifford analysis on euclidean space they are defined as smooth functions with values in the corresponding clifford algebra satisfying a certain system of first order differential equations usually referred to as the dirac equation there are two equally natural extensions of these equations to a riemannian spin manifold only one of which is conformally invariant we present a straightforward exposition | [['monogenic', 'functions', 'are', 'basic', 'to', 'clifford', 'analysis', 'on', 'euclidean', 'space', 'they', 'are', 'defined', 'as', 'smooth', 'functions', 'with', 'values', 'in', 'the', 'corresponding', 'clifford', 'algebra', 'satisfying', 'a', 'certain', 'system', 'of', 'first', 'order', 'differential', 'equations', 'usually', 'referred', 'to', 'as', 'the', 'dirac', 'equation', 'there', 'are', 'two', 'equally', 'natural', 'extensions', 'of', 'these', 'equations', 'to', 'a', 'riemannian', 'spin', 'manifold', 'only', 'one', 'of', 'which', 'is', 'conformally', 'invariant', 'we', 'present', 'a', 'straightforward', 'exposition']] | [-0.16673222914911234, 0.1035671139243417, -0.04621501218240995, 0.1318001696642918, -0.1492303614361355, -0.1630578219389113, -0.11229225642477664, 0.3470133604338536, -0.26912392380719, -0.25658778748833216, 0.13232217597094578, -0.286389199572687, -0.17836049787091235, 0.20742876649332734, -0.09704171508693925, 0.09435513680644082, 0.004501684832100112, 0.0920321742968204, -0.17815369547595486, -0.2507778343816216, 0.4134214247075411, -0.06451177975306144, 0.18299373214921125, -0.0344495402649045, 0.1631748364951748, -0.022835298151207658, 0.000606696021098357, -0.005551825714960264, -0.10793185092222232, 0.10350305233150721, 0.29996623574541165, 0.07188466937066271, 0.2136016798993716, -0.3968328600606093, -0.1560331164071193, 0.1310311284632637, 0.13940701554171167, 0.032880335909654744, 0.0023542703398001883, -0.28431780349749786, 0.06398468227483906, -0.10053710204620774, -0.12186264387116982, -0.1292411026186668, 0.003993598638603894, -0.01016205520584033, -0.21992165483534337, 0.03651412506946004, 0.07621026216791227, 0.0787365778707541, -0.093835700260332, -0.11082883256380088, -0.08112270388608941, 0.04577317454923804, 0.0005085665911722641, 0.06801085204530793, 0.11423319801688195, -0.013703525768449673, -0.12045988078014208, 0.4053857371497613, -0.04543271337528355, -0.373177763991631, 0.13830357479791228, -0.15502817991118018, -0.15239103854848787, 0.07404605925369721, 0.13521290509603345, 0.15774650456240544, -0.14873878076099434, 0.12135840791205947, -0.08626684947655751, 0.07846404209446449, 0.06696495871561078, 0.040523649594531606, 0.13597673058796386, 0.08867574943086276, 0.11673736801514259, 0.09447040936121574, 0.06920472531436155, -0.15836654495662794, -0.4139263606988467, -0.19198287067075187, -0.14448295520045437, 0.13316000010639142, -0.08527271905197548, -0.24953296408057213, 0.410611290534815, 0.05597127545624971, 0.19461523323104932, 0.06801217744449296, 0.2629524868268233, 0.18136219589684446, 0.0926004676005015, 0.058408953801084025, 0.13834215351022205, 0.21968486952380492, 0.06400424252765682, -0.06940339027474132, -0.05265067730528804, 0.1513639406659282] |
708.4173 | Reflecting recollements | A recollement describes one triangulated category T as "glued together" from
two others, S and U. The definition is not symmetrical in S and U, but this
note shows how S and U can be interchanged when T has a Serre functor.
| math.RT | a recollement describes one triangulated category t as glued together from two others s and u the definition is not symmetrical in s and u but this note shows how s and u can be interchanged when t has a serre functor | [['a', 'recollement', 'describes', 'one', 'triangulated', 'category', 't', 'as', 'glued', 'together', 'from', 'two', 'others', 's', 'and', 'u', 'the', 'definition', 'is', 'not', 'symmetrical', 'in', 's', 'and', 'u', 'but', 'this', 'note', 'shows', 'how', 's', 'and', 'u', 'can', 'be', 'interchanged', 'when', 't', 'has', 'a', 'serre', 'functor']] | [-0.1706205984477752, 0.11347106021518509, -0.10186694074599516, 0.0402165429577941, -0.08025935935300021, -0.287305573068027, 0.009732398470597608, 0.38276981012452216, -0.4260465154158218, -0.2306136111728847, 0.00804085684441296, -0.29922913792238215, -0.06879362308730681, 0.10657724344526373, -0.18561564851552248, -0.12348041776567698, 0.10832958081958904, 0.13369337287509725, -0.044236412892738976, -0.223607593792535, 0.34635613408560556, -0.1165854371197167, 0.1894873583999773, 0.07959112480637573, 0.03976863988542131, -0.031329208197781726, 0.0032941910571285655, 0.055087163600893246, -0.12750412444750378, 0.050557378746036975, 0.30762267547349137, 0.05837100914989909, 0.2227748037853633, -0.35475233822528807, -0.09205516453255855, 0.13230463605196702, 0.1255276732013694, 0.030240030138797704, 0.04049470648723876, -0.2812899619873081, 0.09846294635818117, -0.19371219328604639, -0.10532110582460605, -0.055674705299593154, 0.18509492087399676, 0.01648017382692723, -0.2839906936888361, -0.027678903613594315, 0.15754676665390088, 0.019438770488791522, -0.02058063606576373, -0.12686581653542817, -0.16763330126802126, 0.07733448213201925, -0.007795884977981803, 0.17533548308225969, 0.056573448525298206, -0.06897031138318457, -0.02003073100266712, 0.3565205339164961, -0.13496844407304057, -0.21433041858974666, 0.14839500803056926, -0.1691535813068705, -0.09188603310619892, 0.07103482400998473, -0.05296163654531397, 0.14741032400966755, -0.10131401537225992, 0.24030266872501843, -0.12351900771526354, 0.09219133383816197, 0.141482846634019, -0.0045968295141522375, 0.15343087796299232, 0.0958082341932736, 0.044205614853472935, 0.11226753920172564, -0.009081626072570327, 0.03819342117224421, -0.3853947323791328, -0.12655723981914066, -0.10248358825421226, 0.16347127410595672, -0.019614609833210818, -0.09849464862296979, 0.3498714410123371, 0.09662842944574852, 0.2537386164157873, 0.022234207854905565, 0.1840928612232563, 0.025958082879826958, 0.049336263710366826, 0.06418602979032412, 0.09600457499930469, 0.1865750783832655, 0.0874759100399734, -0.11704935845808082, 0.0368686559432674, 0.1929876161850102] |
708.4174 | About possible influence of birefringence effect on processes of
production (photoproduction, electroproduction) of vector mesons (particles
with the spin S greater or equal then 1) in nuclei | It is shown that birefringence effect influences on production of particles
with the spin S greater or equal then 1 at collisions of high energy particles.
| hep-ph | it is shown that birefringence effect influences on production of particles with the spin s greater or equal then 1 at collisions of high energy particles | [['it', 'is', 'shown', 'that', 'birefringence', 'effect', 'influences', 'on', 'production', 'of', 'particles', 'with', 'the', 'spin', 's', 'greater', 'or', 'equal', 'then', '1', 'at', 'collisions', 'of', 'high', 'energy', 'particles']] | [-0.07234316389524163, 0.34403025917708874, -0.07583109937751523, 0.04586433635827584, 0.02816407701287132, -0.1492701733055023, -0.054737202232130446, 0.31187180472681153, -0.21441421536012337, -0.328525114697046, -0.010015551287394304, -0.4045345956602922, -0.011077677231067075, 0.12040334786825742, 0.060642547941265196, -0.022399104289853804, 0.04548952800150101, 0.10257109313701782, 0.013858869967337411, -0.24731427187529895, 0.3027563397056208, 0.1283342710767801, 0.27599515568894833, 0.15225402283697173, 0.19321095255705026, 0.027609015071692947, 0.05336727937370037, 0.03446601854207424, -0.13898385847306388, 0.02404953560079985, 0.10511512080064186, 0.009146807231725408, 0.1907475569213812, -0.41591222691707885, -0.1728544872469054, 0.18566841879286444, 0.15308464726863, 0.059964365110947535, -0.036377851031899736, -0.19487850806819132, 0.12882328785669345, -0.17215875063378078, -0.14779057468359286, 0.043389203814932935, 0.14088437770708248, 0.00974578052186049, -0.2993036782583938, 0.078891622977188, 0.06437033257232262, 0.05815897925864332, -0.02876813893313878, -0.13683426591496056, -0.10941391905698065, -0.03078236404913836, 0.11814443416929302, 0.02549042461368327, 0.19740703895401496, -0.1169904680752482, -0.13542724882539076, 0.39136478820672405, -0.05115025254109731, -0.23268803065785995, 0.22607146345007306, -0.25918066519527483, -0.05131450890061947, 0.20815793310220426, 0.20934888663200232, 0.11724961692324051, -0.0525452564112269, 0.02296720232026508, 0.055057367453208335, 0.18673983244046283, 0.1210400267647436, 0.06538271375645238, 0.2423308167176751, 0.17864725946520382, 0.05843541223125962, 0.08196756179229571, -0.09314629667474386, -0.004104912710877566, -0.2734868231301124, -0.16896130536826184, -0.22827717790809962, 0.09988140698092488, -0.09304947753508504, -0.03960463258128864, 0.3066745246402346, 0.13576825392933992, 0.154164398633069, -0.0190327435445327, 0.29727508059631175, 0.10664105114455406, 0.06976190777137302, 0.07126044122000727, 0.2981035365508153, 0.11939978047918814, 0.06403888441407336, -0.25212459767667145, 0.07291126063165183, -0.0491241359939942] |
708.4175 | Spitzer's View of Planetary Nebulae | The Spitzer Space Telescope, NASA's Great Observatory for infrared astronomy,
has made available new tools for the investigation of the infrared properties
of planetary nebulae. The three instruments onboard, including the Infrared
Array Camera (IRAC), the Multiband Imaging Photometer for Spitzer (MIPS), and
the Infrared Spectrograph (IRS), provide imaging capability from 3.6 to 160
microns, and low and moderate resolution spectroscopy from 5.2 to 38 microns.
In this paper I review recent Spitzer results concerning planetary nebulae and
their asymmetrical structures.
| astro-ph | the spitzer space telescope nasas great observatory for infrared astronomy has made available new tools for the investigation of the infrared properties of planetary nebulae the three instruments onboard including the infrared array camera irac the multiband imaging photometer for spitzer mips and the infrared spectrograph irs provide imaging capability from 36 to 160 microns and low and moderate resolution spectroscopy from 52 to 38 microns in this paper i review recent spitzer results concerning planetary nebulae and their asymmetrical structures | [['the', 'spitzer', 'space', 'telescope', 'nasas', 'great', 'observatory', 'for', 'infrared', 'astronomy', 'has', 'made', 'available', 'new', 'tools', 'for', 'the', 'investigation', 'of', 'the', 'infrared', 'properties', 'of', 'planetary', 'nebulae', 'the', 'three', 'instruments', 'onboard', 'including', 'the', 'infrared', 'array', 'camera', 'irac', 'the', 'multiband', 'imaging', 'photometer', 'for', 'spitzer', 'mips', 'and', 'the', 'infrared', 'spectrograph', 'irs', 'provide', 'imaging', 'capability', 'from', '36', 'to', '160', 'microns', 'and', 'low', 'and', 'moderate', 'resolution', 'spectroscopy', 'from', '52', 'to', '38', 'microns', 'in', 'this', 'paper', 'i', 'review', 'recent', 'spitzer', 'results', 'concerning', 'planetary', 'nebulae', 'and', 'their', 'asymmetrical', 'structures']] | [-0.015553164143865515, 0.09132312500941349, -0.1052070942270443, 0.01648567024083739, -0.16550350894312155, -0.07675403852107716, 0.01317800982872507, 0.45476091280579567, -0.16002902657621437, -0.4186529092674638, 0.14613247775173757, -0.313814016541949, -0.13937356715079074, 0.2632736676821002, -0.06965921427134747, 0.02898720907116378, 0.14017093678315481, -0.28800565722063587, 0.03328646580332223, -0.2596186395794912, 0.21321245263342137, 0.19187157536730354, 0.16673023527327144, -0.037661405504439714, 0.12033831723103369, -0.0473651548008216, -0.19651119811115442, -0.07593460729163151, -0.2073384831705487, 0.12335924550109072, 0.32905975731526627, 0.11318102841449465, 0.16405815539743612, -0.3569157229345522, -0.18724849645370317, -0.008559236164998126, 0.11722369740981563, -0.1000853337313014, 0.001612392808943067, -0.3370042862945501, 1.7528410679028357e-05, -0.11745485377118543, -0.22025709974085106, 0.05278773458651555, 0.04892652517437567, 0.025538380096815985, -0.1805991344153881, -0.06841898345629926, -0.1254979740874267, 0.259843322597904, -0.2786847532864798, -0.18942862167885458, -0.060654945397048174, 0.12190536700511052, -0.09803011930291829, 0.06439970803366583, 0.0634571292012194, -0.21883970238900755, -0.04857092795686589, 0.32816831628435555, -0.06342609166627589, 0.13365079480924724, 0.28436789521372613, -0.2537619178528311, -0.18018086677716103, 0.2419775011834263, 0.1281184190366831, 0.12148090708931839, -0.2317757466348049, 0.1728243985314664, -0.0036462467669704816, 0.2539227571062468, 0.06580251519694741, 0.24954931721965104, 0.2944059484023141, 0.13538321748053955, 0.008812245096505425, 0.14095208544663532, -0.46004167372751753, -0.021578849695714903, -0.22678205745731606, -0.18495663587739805, -0.1549655362147332, 0.08181075703490663, -0.09652200986754816, -0.04575213888066499, 0.27663835176600166, 0.18463447614124529, 0.08524660345304895, -0.007396559794375926, 0.4218492871725265, -0.05503814292347266, 0.15419421100954492, 0.013293680786672566, 0.3529929035331732, 0.0774079749337685, 0.22145949503590848, -0.18697483610522783, -0.08899236542753369, -0.0211620724093123] |
708.4176 | Classical and Effective Descriptive Complexities of omega-Powers | We prove that, for each non null countable ordinal alpha, there exist some
Sigma^0_alpha-complete omega-powers, and some Pi^0_alpha-complete omega-powers,
extending previous works on the topological complexity of omega-powers. We
prove effective versions of these results. In particular, for each non null
recursive ordinal alpha, there exists a recursive finitary language A such that
A^omega is Sigma^0_alpha-complete (respectively, Pi^0_alpha-complete). To do
this, we prove effective versions of a result by Kuratowski, describing a Borel
set as the range of a closed subset of the Baire space by a continuous
bijection. This leads us to prove closure properties for the classes
Effective-Pi^0_alpha and Effective-Sigma^0_alpha of the hyperarithmetical
hierarchy in arbitrary recursively presented Polish spaces. We apply our
existence results to get better computations of the topological complexity of
some sets of dictionaries considered by the second author in [Omega-Powers and
Descriptive Set Theory, Journal of Symbolic Logic, Volume 70 (4), 2005, p.
1210-1232].
| math.LO cs.CC cs.LO | we prove that for each non null countable ordinal alpha there exist some sigma0_alphacomplete omegapowers and some pi0_alphacomplete omegapowers extending previous works on the topological complexity of omegapowers we prove effective versions of these results in particular for each non null recursive ordinal alpha there exists a recursive finitary language a such that aomega is sigma0_alphacomplete respectively pi0_alphacomplete to do this we prove effective versions of a result by kuratowski describing a borel set as the range of a closed subset of the baire space by a continuous bijection this leads us to prove closure properties for the classes effectivepi0_alpha and effectivesigma0_alpha of the hyperarithmetical hierarchy in arbitrary recursively presented polish spaces we apply our existence results to get better computations of the topological complexity of some sets of dictionaries considered by the second author in omegapowers and descriptive set theory journal of symbolic logic volume 70 4 2005 p 12101232 | [['we', 'prove', 'that', 'for', 'each', 'non', 'null', 'countable', 'ordinal', 'alpha', 'there', 'exist', 'some', 'sigma0_alphacomplete', 'omegapowers', 'and', 'some', 'pi0_alphacomplete', 'omegapowers', 'extending', 'previous', 'works', 'on', 'the', 'topological', 'complexity', 'of', 'omegapowers', 'we', 'prove', 'effective', 'versions', 'of', 'these', 'results', 'in', 'particular', 'for', 'each', 'non', 'null', 'recursive', 'ordinal', 'alpha', 'there', 'exists', 'a', 'recursive', 'finitary', 'language', 'a', 'such', 'that', 'aomega', 'is', 'sigma0_alphacomplete', 'respectively', 'pi0_alphacomplete', 'to', 'do', 'this', 'we', 'prove', 'effective', 'versions', 'of', 'a', 'result', 'by', 'kuratowski', 'describing', 'a', 'borel', 'set', 'as', 'the', 'range', 'of', 'a', 'closed', 'subset', 'of', 'the', 'baire', 'space', 'by', 'a', 'continuous', 'bijection', 'this', 'leads', 'us', 'to', 'prove', 'closure', 'properties', 'for', 'the', 'classes', 'effectivepi0_alpha', 'and', 'effectivesigma0_alpha', 'of', 'the', 'hyperarithmetical', 'hierarchy', 'in', 'arbitrary', 'recursively', 'presented', 'polish', 'spaces', 'we', 'apply', 'our', 'existence', 'results', 'to', 'get', 'better', 'computations', 'of', 'the', 'topological', 'complexity', 'of', 'some', 'sets', 'of', 'dictionaries', 'considered', 'by', 'the', 'second', 'author', 'in', 'omegapowers', 'and', 'descriptive', 'set', 'theory', 'journal', 'of', 'symbolic', 'logic', 'volume', '70', '4', '2005', 'p', '12101232']] | [-0.13858478514137804, 0.0923887630798728, -0.0529317555766603, 0.13181620468999058, -0.10678086480176127, -0.11033130052650499, 0.10526500624680035, 0.33197083478365597, -0.27645470425046076, -0.21919793108276822, 0.06785628923948074, -0.2809561945787455, -0.12787254425741076, 0.19003000662220026, -0.13786239909146586, 0.04694281193125691, 0.03713169803125532, 0.06748764690899013, -0.064764017553849, -0.2774672236299847, 0.362922726453886, -0.09388737509426712, 0.21534127621153193, 0.020025008869344822, 0.10228457873548709, 0.0048705131583217836, -0.04517817219744462, 0.08166999385414513, -0.19055293850662466, 0.12952015731433356, 0.32488973563964907, 0.1981723050435854, 0.2961606113365977, -0.3443279483456265, -0.16577178592214714, 0.1394535789039691, 0.07902879030685604, 0.033792231427002196, -0.006213244644616655, -0.29241153537421616, 0.13076907271406035, -0.17471104677816904, -0.09997528264097669, -0.12491977854153595, 0.09574430055186353, 0.016340994501857692, -0.25385101220957507, -0.014054700740490336, 0.1839578231242863, 0.10670640669991986, -0.06194819523040457, -0.1122604785235347, 0.0016796051239833941, 0.07591457088553422, 0.008369173338537253, 0.04712884786941514, 0.02746163191890495, -0.03945416618198332, -0.17080795710805702, 0.342941256246303, -0.042065636734666956, -0.23527513284588586, 0.1932765439190474, -0.1565983357408235, -0.23841012533552744, 0.0874556728695343, 0.07620893492413736, 0.09191142432265789, -0.053232573933790855, 0.19425491763261538, -0.15097624414625602, 0.16330424256975185, 0.1538564072342942, 0.03770321959352775, 0.10584063915145658, 0.11664783525928804, 0.08456467508064658, 0.14700185457154843, 0.053160777748121904, -0.043534187185876955, -0.34923242878269506, -0.1603502710098149, -0.10988332010251847, 0.05928277022935249, -0.11748014784678014, -0.22200267143371338, 0.35400800871964844, 0.11849031815969234, 0.15053857723880257, 0.1743569033207825, 0.2008102924863468, 0.07035806656966924, -0.011735277440763909, 0.09472103493690893, 0.128164893195365, 0.1329985399576332, 0.02838504413847585, -0.11046759943407802, 0.037492213627587805, 0.16539635402118988] |
708.4177 | Characterization of count data distributions involving additivity and
binomial subsampling | In this paper we characterize all the $r$-parameter families of count
distributions (satisfying mild conditions) that are closed under addition and
under binomial subsampling. Surprisingly, few families satisfy both properties
and the resulting models consist of the $r$th-order univariate Hermite
distributions. Among these, we find the Poisson ($r=1$) and the ordinary
Hermite distributions ($r=2$).
| math.ST stat.TH | in this paper we characterize all the rparameter families of count distributions satisfying mild conditions that are closed under addition and under binomial subsampling surprisingly few families satisfy both properties and the resulting models consist of the rthorder univariate hermite distributions among these we find the poisson r1 and the ordinary hermite distributions r2 | [['in', 'this', 'paper', 'we', 'characterize', 'all', 'the', 'rparameter', 'families', 'of', 'count', 'distributions', 'satisfying', 'mild', 'conditions', 'that', 'are', 'closed', 'under', 'addition', 'and', 'under', 'binomial', 'subsampling', 'surprisingly', 'few', 'families', 'satisfy', 'both', 'properties', 'and', 'the', 'resulting', 'models', 'consist', 'of', 'the', 'rthorder', 'univariate', 'hermite', 'distributions', 'among', 'these', 'we', 'find', 'the', 'poisson', 'r1', 'and', 'the', 'ordinary', 'hermite', 'distributions', 'r2']] | [-0.11017352777222793, 0.08627170788262177, -0.08844120300340431, 0.10889033037367174, -0.021316811895101435, -0.13152859027118044, -0.03105895229641141, 0.38029949918941214, -0.27285258537503304, -0.25492281687480434, 0.07883035630220547, -0.2672079642544742, -0.14421006839687903, 0.19116977478929417, -0.08270005193642443, 0.0647138348021717, 0.02157723384529904, 0.010524544114660885, -0.12433958780969044, -0.3208225568135579, 0.3619725175753788, -0.04263471636093325, 0.2809457770824708, -0.06897568684804288, 0.07961848073776949, -0.02311581030867442, -0.028930637399079622, -0.03107977241139721, -0.20043492807073765, 0.1044922431723939, 0.18441443539665703, 0.11652487138700154, 0.2063685576690154, -0.38775681400740586, -0.1570958691580152, 0.22405562728332976, 0.0860730303986067, -0.01653562048105178, -0.023409554320904944, -0.17627450235670916, 0.09389283620166006, -0.1369754398900248, -0.15068244623641172, -0.11466750838897294, -0.03186877518547354, 0.18370218816454764, -0.3349572730906032, 0.11694391240814218, 0.12597151038547358, 0.04327788401483472, -0.03328371264419898, -0.1964598025057327, -0.026473152925501817, 0.051209953579085844, 0.05170297771002407, -0.1343814263516968, 0.025473640041632786, -0.10292781371174863, -0.04364731286962827, 0.3366310132443215, -0.03768627104107981, -0.28090042758547634, 0.16611921970077134, -0.20232074669803735, -0.23748202251994777, 0.10686318930755886, 0.13133421800254533, 0.14065593547463692, -0.1664069291997563, 0.10445357605284597, -0.10727310877431322, 0.043181466628555897, 0.1936386372393894, 0.06366532628803893, 0.14941883476933948, 0.006910242560681784, 0.05317988975784155, 0.16091269382310133, -0.10485770732716278, -0.12683334775027577, -0.35944140883576536, -0.10340038649047967, -0.0850201831263904, 0.03805109277298605, -0.15366448726665652, -0.21241541600061786, 0.3944477681932902, 0.11192567081673553, 0.21340876765963104, 0.14551669385077226, 0.18309045565763005, 0.1527757743132059, -0.0031123542813239276, 0.10128696511189143, 0.1005971501753838, 0.1681500292831549, 0.004179627199105367, -0.11657891843329977, 0.0968960018255058, 0.02252294162840203] |
708.4178 | Relationship between degree of efficiency and prediction in stock price
changes | This study investigates empirically whether the degree of stock market
efficiency is related to the prediction power of future price change using the
indices of twenty seven stock markets. Efficiency refers to weak-form efficient
market hypothesis (EMH) in terms of the information of past price changes. The
prediction power corresponds to the hit-rate, which is the rate of the
consistency between the direction of actual price change and that of predicted
one, calculated by the nearest neighbor prediction method (NN method) using the
out-of-sample. In this manuscript, the Hurst exponent and the approximate
entropy (ApEn) are used as the quantitative measurements of the degree of
efficiency. The relationship between the Hurst exponent, reflecting the various
time correlation property, and the ApEn value, reflecting the randomness in the
time series, shows negative correlation. However, the average prediction power
on the direction of future price change has the strongly positive correlation
with the Hurst exponent, and the negative correlation with the ApEn. Therefore,
the market index with less market efficiency has higher prediction power for
future price change than one with higher market efficiency when we analyze the
market using the past price change pattern. Furthermore, we show that the Hurst
exponent, a measurement of the long-term memory property, provides more
significant information in terms of prediction of future price changes than the
ApEn and the NN method.
| q-fin.ST physics.soc-ph | this study investigates empirically whether the degree of stock market efficiency is related to the prediction power of future price change using the indices of twenty seven stock markets efficiency refers to weakform efficient market hypothesis emh in terms of the information of past price changes the prediction power corresponds to the hitrate which is the rate of the consistency between the direction of actual price change and that of predicted one calculated by the nearest neighbor prediction method nn method using the outofsample in this manuscript the hurst exponent and the approximate entropy apen are used as the quantitative measurements of the degree of efficiency the relationship between the hurst exponent reflecting the various time correlation property and the apen value reflecting the randomness in the time series shows negative correlation however the average prediction power on the direction of future price change has the strongly positive correlation with the hurst exponent and the negative correlation with the apen therefore the market index with less market efficiency has higher prediction power for future price change than one with higher market efficiency when we analyze the market using the past price change pattern furthermore we show that the hurst exponent a measurement of the longterm memory property provides more significant information in terms of prediction of future price changes than the apen and the nn method | [['this', 'study', 'investigates', 'empirically', 'whether', 'the', 'degree', 'of', 'stock', 'market', 'efficiency', 'is', 'related', 'to', 'the', 'prediction', 'power', 'of', 'future', 'price', 'change', 'using', 'the', 'indices', 'of', 'twenty', 'seven', 'stock', 'markets', 'efficiency', 'refers', 'to', 'weakform', 'efficient', 'market', 'hypothesis', 'emh', 'in', 'terms', 'of', 'the', 'information', 'of', 'past', 'price', 'changes', 'the', 'prediction', 'power', 'corresponds', 'to', 'the', 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708.4179 | A cosmotopological relation for a unified field theory | I present an argument, based on the topology of the universe, why there are
three generations of fermions. The argument implies a preferred unified gauge
group of SU(5), but with SO(10) representations of the fermions. The breaking
pattern $SU(5) \to SU(3) \times SU(2) \times U(1)$ is preferred over the
pattern $SU(5) \to SU(4) \times U(1)$. On the basis of the argument one expects
an asymmetry in the microwave data, which might have been detected already.
| hep-th | i present an argument based on the topology of the universe why there are three generations of fermions the argument implies a preferred unified gauge group of su5 but with so10 representations of the fermions the breaking pattern su5 to su3 times su2 times u1 is preferred over the pattern su5 to su4 times u1 on the basis of the argument one expects an asymmetry in the microwave data which might have been detected already | [['i', 'present', 'an', 'argument', 'based', 'on', 'the', 'topology', 'of', 'the', 'universe', 'why', 'there', 'are', 'three', 'generations', 'of', 'fermions', 'the', 'argument', 'implies', 'a', 'preferred', 'unified', 'gauge', 'group', 'of', 'su5', 'but', 'with', 'so10', 'representations', 'of', 'the', 'fermions', 'the', 'breaking', 'pattern', 'su5', 'to', 'su3', 'times', 'su2', 'times', 'u1', 'is', 'preferred', 'over', 'the', 'pattern', 'su5', 'to', 'su4', 'times', 'u1', 'on', 'the', 'basis', 'of', 'the', 'argument', 'one', 'expects', 'an', 'asymmetry', 'in', 'the', 'microwave', 'data', 'which', 'might', 'have', 'been', 'detected', 'already']] | [-0.18227214770702024, 0.2108852961694356, -0.11333821430802345, 0.10000975559931248, -0.10856055045500397, -0.14225147378941377, 0.03820400234001378, 0.39166806294117124, -0.10936440690731009, -0.27841058020790416, 0.09772233203519136, -0.23369783088564872, -0.05102857501556476, 0.056441137741009395, -0.018639448968072733, -0.04548997691522042, -0.06497425684239716, 0.06103058531880379, -0.10409466108928124, -0.29834772454885145, 0.2633856974790494, -0.03916925480899711, 0.31433387057234846, 0.014158283894260725, 0.11163790865646055, -0.05828283894186219, -0.00571108969549338, -0.14329625769828758, -0.048762006387114525, 0.10912836585969975, 0.2085766358176867, 0.060730648349175076, 0.11726510062503318, -0.4752895132948955, -0.178197296547393, 0.15188232408215602, 0.1784092753008008, 0.12099026273780812, -0.06544512218795717, -0.341799177719901, 0.08066038196906447, -0.186136001025637, -0.13638011422784377, -0.043090038311978184, -0.027770466692745684, -0.17256848915790518, -0.27710060705741246, 0.08347657104333242, 0.014973626925299565, 0.10275628040234248, 0.0056920362977931896, -0.0976440916210413, -0.06748944319784642, -0.008224104437977076, 0.24508776059684653, 0.061942524133870996, 0.12002651780222853, -0.13661497068901857, -0.19261190603176753, 0.4465398303419352, -0.04906440717168152, -0.14258499751488368, 0.1482492484928419, -0.12047747320340325, -0.20835640316829085, 0.08165750297407309, 0.08075248339523872, 0.07906079941739638, -0.12011685158436497, 0.18069627224778137, -0.13776471483210723, 0.1899087242083624, 0.032819624499728285, 0.03778356672575076, 0.268339097785453, 0.16740061810861032, 0.07575734480905036, -0.005289397711555163, -0.011420007863392433, -0.13169885342319806, -0.38598136651019255, -0.10273928350148101, -0.14210477322029572, 0.12468060990174612, -0.12849981299291055, -0.09585048418492079, 0.4671169482668241, 0.11123178871969382, 0.2175186756501595, 0.00973484102791796, 0.19553395949924984, 0.06507430872569482, 0.15701559523741404, -0.003333208058029413, 0.20951248083263635, 0.1095128604148825, 0.022323865547465783, -0.1994897459540516, -0.0793540502153337, 0.15424369511504968] |
708.418 | On The Arrow of Time | The interface between classical physics and quantum physics is explained from
the point of view of quantum information theory (Feynman Processes). The
interpretation depends on a hefty sacrifice: the classical determinism or the
arrow of time.
The wave-particle duality steams from the qubit model, as the root of
creation and annihilation of possibilities. A few key experiments are briefly
reviewed from the above perspective: quantum erasure, delayed-choice and
wave-particle correlation.
The CPT-Theorem is interpreted in the framework of categories with duality
and a timeless interpretation of the Feynman Processes is proposed. A
connection between the fine-structure constant and algebraic number theory is
suggested.
| physics.gen-ph | the interface between classical physics and quantum physics is explained from the point of view of quantum information theory feynman processes the interpretation depends on a hefty sacrifice the classical determinism or the arrow of time the waveparticle duality steams from the qubit model as the root of creation and annihilation of possibilities a few key experiments are briefly reviewed from the above perspective quantum erasure delayedchoice and waveparticle correlation the cpttheorem is interpreted in the framework of categories with duality and a timeless interpretation of the feynman processes is proposed a connection between the finestructure constant and algebraic number theory is suggested | [['the', 'interface', 'between', 'classical', 'physics', 'and', 'quantum', 'physics', 'is', 'explained', 'from', 'the', 'point', 'of', 'view', 'of', 'quantum', 'information', 'theory', 'feynman', 'processes', 'the', 'interpretation', 'depends', 'on', 'a', 'hefty', 'sacrifice', 'the', 'classical', 'determinism', 'or', 'the', 'arrow', 'of', 'time', 'the', 'waveparticle', 'duality', 'steams', 'from', 'the', 'qubit', 'model', 'as', 'the', 'root', 'of', 'creation', 'and', 'annihilation', 'of', 'possibilities', 'a', 'few', 'key', 'experiments', 'are', 'briefly', 'reviewed', 'from', 'the', 'above', 'perspective', 'quantum', 'erasure', 'delayedchoice', 'and', 'waveparticle', 'correlation', 'the', 'cpttheorem', 'is', 'interpreted', 'in', 'the', 'framework', 'of', 'categories', 'with', 'duality', 'and', 'a', 'timeless', 'interpretation', 'of', 'the', 'feynman', 'processes', 'is', 'proposed', 'a', 'connection', 'between', 'the', 'finestructure', 'constant', 'and', 'algebraic', 'number', 'theory', 'is', 'suggested']] | [-0.13081734627485275, 0.1520728666190673, -0.13947275204095735, 0.12393410835252369, -0.08013600525129767, -0.16635415901077313, 0.07271999599032321, 0.2635654191151985, -0.316631863051935, -0.30411011995114745, 0.025670047292205532, -0.24860438294889567, -0.16228673931039436, 0.2040192377391877, -0.0354219370530647, 0.0346882537784941, 0.024726640437594028, 0.05133395028092618, -0.0671137477750483, -0.18200782509701488, 0.31829013901500447, 0.09525758265042948, 0.28925795897443607, 0.10410522635646381, 0.12734794009079053, 0.03896464050286314, -0.06214630955211972, 0.0007444175448521827, -0.08743125122058594, 0.11284688172084324, 0.24051938847484952, 0.1780936523177887, 0.22474490427095623, -0.4338141591695038, -0.2030997004775891, 0.038184395982223805, 0.09280749524545684, 0.11680401523498077, -0.03471545847155407, -0.3311473063274639, -0.021746146329904643, -0.1636986718106183, -0.0921134028077415, 0.0015799773368731286, -0.0057159118643663465, -0.026211524183310353, -0.19023724484429197, 0.09122639018092847, 0.0700223901042335, 0.07900201804366289, 0.00723838907761445, -0.04669945785500001, 0.03523925649797888, 0.09308814938017393, 0.020560080209267733, 0.01330054275243932, 0.12940008741649753, -0.15925012709735667, -0.24674112840670892, 0.39685508760044946, 0.00068272126259879, -0.15057641235603336, 0.19774028301709196, -0.12371820034187975, -0.09037469495178281, 0.05958270199271371, 0.0653606476736915, 0.07544352706449414, -0.11050188209572175, 0.1596580295912804, -0.035489776678094005, 0.12243671029115556, 0.080192660331925, 0.1184143079987284, 0.26135442025272304, 0.14306852925406063, -0.02347674128572339, 0.10764949157318661, -0.04973151636291838, -0.23759397865245932, -0.4069250891871244, -0.194144791747145, -0.17129695608090717, 0.09968895583585338, -0.09283484601643438, -0.12128909810183985, 0.3221124426995232, 0.14490259215529575, 0.177368734208234, 0.006978305608251141, 0.27989916181535396, 0.13208033544015935, 0.03583455994246003, 0.0055235581544851794, 0.2317362869230723, 0.2090452911820516, 0.09757669432794006, -0.23655145715026962, 0.06544129417087992, 0.129047846663472] |
708.4181 | Spin-Peierls instability in the three-leg Heisenberg ladder | Because the three-leg ladder behaves like a renormalized single Heisenberg
chain we argue that a spin-Peierls instability must occur in this system when
it is coupled to three-dimensional phonons. Using the bond-mean-field theory,
we show that this is indeed the case. The dimerized state below the
spin-Peierls transition temperature forms into the columnar dimerized phase not
the staggered one. This contrasts with the argument based on
antiferromagnetism. A physical argument based rather on spin bonding into
singlets explains why the columnar configuration is favored. No quantum
criticality (gaplessness) can occur in the columnar arrangement of the
dimerized chains.
| cond-mat.str-el | because the threeleg ladder behaves like a renormalized single heisenberg chain we argue that a spinpeierls instability must occur in this system when it is coupled to threedimensional phonons using the bondmeanfield theory we show that this is indeed the case the dimerized state below the spinpeierls transition temperature forms into the columnar dimerized phase not the staggered one this contrasts with the argument based on antiferromagnetism a physical argument based rather on spin bonding into singlets explains why the columnar configuration is favored no quantum criticality gaplessness can occur in the columnar arrangement of the dimerized chains | [['because', 'the', 'threeleg', 'ladder', 'behaves', 'like', 'a', 'renormalized', 'single', 'heisenberg', 'chain', 'we', 'argue', 'that', 'a', 'spinpeierls', 'instability', 'must', 'occur', 'in', 'this', 'system', 'when', 'it', 'is', 'coupled', 'to', 'threedimensional', 'phonons', 'using', 'the', 'bondmeanfield', 'theory', 'we', 'show', 'that', 'this', 'is', 'indeed', 'the', 'case', 'the', 'dimerized', 'state', 'below', 'the', 'spinpeierls', 'transition', 'temperature', 'forms', 'into', 'the', 'columnar', 'dimerized', 'phase', 'not', 'the', 'staggered', 'one', 'this', 'contrasts', 'with', 'the', 'argument', 'based', 'on', 'antiferromagnetism', 'a', 'physical', 'argument', 'based', 'rather', 'on', 'spin', 'bonding', 'into', 'singlets', 'explains', 'why', 'the', 'columnar', 'configuration', 'is', 'favored', 'no', 'quantum', 'criticality', 'gaplessness', 'can', 'occur', 'in', 'the', 'columnar', 'arrangement', 'of', 'the', 'dimerized', 'chains']] | [-0.21261066704815657, 0.28197201903064534, -0.055373946022357526, 0.07596122329459362, -0.053032795922619475, -0.1887657831365377, 0.05249898995335223, 0.368299293408612, -0.24031884758973243, -0.17223983440432966, 0.045665699628556204, -0.31276796527744566, -0.1410579288896826, 0.08654110938233812, 0.05623113637617261, -0.06164681225938281, -0.014607194407852655, 0.02576320838019943, -0.12099648138973862, -0.20275119773337869, 0.2870811224751866, -0.01885081972979662, 0.33435842817284395, 0.04951333658308866, 0.024802342604500118, 0.03613384011604814, 0.212367807130915, -0.0035147052306259414, -0.16688399635253537, 0.018718244977170582, 0.23009245795409014, -0.07211845123314674, 0.14650359200444205, -0.4667400198498952, -0.20134004183862472, 0.0613425995472857, 0.16655798554996548, 0.19433396922174803, 0.003289067644875535, -0.2852335114382476, 0.0007065813076327142, -0.1795756445727167, -0.15307622406746924, -0.08641682464398981, -0.07722392298050762, -0.05609416923264867, -0.22244885610416532, 0.11500392741518882, 0.14696038109442391, 0.06333060360023963, -0.07639922969254483, -0.06737206667330423, -0.10963025749613022, 0.03184097099805625, 0.02994155975121083, 0.07402431368635795, 0.11334253299366875, -0.06884052028121024, -0.12337575601797897, 0.3855085963594545, -0.029445573277099384, -0.14865360814194703, 0.18099777760541008, -0.16118814623866654, -0.14209098824943156, 0.15449054344778054, 0.02007267698669595, 0.04155505305760991, -0.06573718524440168, 0.08263084287251125, -0.03757087396669019, 0.2514254967754073, -0.014451941427265861, 0.022353242755118644, 0.2759952178397744, 0.23244885926269301, 0.04907346948904475, 0.1926168450298383, -0.07272639713182892, -0.22069923286854298, -0.24357795769099108, -0.15628262983932706, -0.2444702580513567, 0.0531977345093127, -0.06280764568352246, -0.2365057705253478, 0.35786306107243926, 0.16797973833452245, 0.18266135554031, -0.04526069846733944, 0.2247159545329044, 0.07651522651449152, 0.07258542323696245, 0.022945434690366702, 0.250174282961189, 0.1256498333844404, 0.10513773123666491, -0.2600962033389693, 0.0555077943057974, 0.11458629346632677] |
708.4182 | Lattice Boltzmann simulation of electrowetting-on-dielectric in a
rough-wall channel | A lattice Boltzmann model was proposed to simulate
electrowetting-on-dielectric (EWOD). The insulative vapor and the electrolyte
liquid droplet were simulated by the lattice Boltzmann method respectively, and
the linear property between cosine of contact angle and the electric field
force confirms the reliability of this model. In the simulation of electrolyte
flowing in a rough-wall channel under an external electric field, we found that
a narrow channel is more sensitive than a broad channel and the flux decreases
monotonously as the electric field increase, but may suddenly increase if the
electric field is strong enough.
| physics.comp-ph physics.class-ph | a lattice boltzmann model was proposed to simulate electrowettingondielectric ewod the insulative vapor and the electrolyte liquid droplet were simulated by the lattice boltzmann method respectively and the linear property between cosine of contact angle and the electric field force confirms the reliability of this model in the simulation of electrolyte flowing in a roughwall channel under an external electric field we found that a narrow channel is more sensitive than a broad channel and the flux decreases monotonously as the electric field increase but may suddenly increase if the electric field is strong enough | [['a', 'lattice', 'boltzmann', 'model', 'was', 'proposed', 'to', 'simulate', 'electrowettingondielectric', 'ewod', 'the', 'insulative', 'vapor', 'and', 'the', 'electrolyte', 'liquid', 'droplet', 'were', 'simulated', 'by', 'the', 'lattice', 'boltzmann', 'method', 'respectively', 'and', 'the', 'linear', 'property', 'between', 'cosine', 'of', 'contact', 'angle', 'and', 'the', 'electric', 'field', 'force', 'confirms', 'the', 'reliability', 'of', 'this', 'model', 'in', 'the', 'simulation', 'of', 'electrolyte', 'flowing', 'in', 'a', 'roughwall', 'channel', 'under', 'an', 'external', 'electric', 'field', 'we', 'found', 'that', 'a', 'narrow', 'channel', 'is', 'more', 'sensitive', 'than', 'a', 'broad', 'channel', 'and', 'the', 'flux', 'decreases', 'monotonously', 'as', 'the', 'electric', 'field', 'increase', 'but', 'may', 'suddenly', 'increase', 'if', 'the', 'electric', 'field', 'is', 'strong', 'enough']] | [-0.1624291944035672, 0.18163420626737398, -0.0668848185358863, -0.008367753209007022, -0.02514937942063338, -0.19212922556815962, 0.06550263403424698, 0.40124995386914203, -0.2550981940211434, -0.3018854440827119, 0.04061822321412987, -0.26946589601667303, -0.08528691402048265, 0.1668942192618392, -0.011579753595747446, 0.03953357928089405, 0.0098583363486748, 0.015170157156688603, -0.04963116992117935, -0.1849205669971477, 0.22977947711233834, 0.0765134575433637, 0.3467833592801502, 0.13698683829769787, 0.08895687784411405, 0.0076315788552165035, 0.04647211101592371, 0.08787839729093799, -0.09614667390805583, 0.014862395989659586, 0.1342689763288945, -0.027059480381247246, 0.22585505976488715, -0.45408030364074203, -0.23606844324814646, 0.06153977391751189, 0.11269311451010014, 0.12620976130036932, -0.06055582572390497, -0.2377204374263161, 0.06126189843604439, -0.1717573703144138, -0.14292757463592448, -0.02813845743964377, 0.026546060276756947, 0.07008771350282539, -0.304922844116625, 0.0953334776292506, 0.03197508441088231, 0.08046259452637873, -0.09412324122447324, -0.1037344368419757, -0.041165635595098136, 0.054133544749531304, 0.082836606034911, 0.11932757427964948, 0.23010963998538883, -0.1699170131266759, -0.02172393806303214, 0.341261042027097, -0.11553236763559796, -0.17338752338760777, 0.14685639675498302, -0.16709036584943532, 0.03066385695955863, 0.20053712525650075, 0.15738095519574066, 0.07979859334637264, -0.15549059289654618, 0.04886781006659332, -0.05812479855590745, 0.19895659130262702, 0.052223452798237924, -0.0598073429379024, 0.22607430732367853, 0.166360832495909, 0.03917845656213007, 0.18856968977733662, -0.1398856690521107, -0.10694729256884832, -0.24027117332933765, -0.17354374129913355, -0.1724465581833532, 0.049261126360905017, -0.08660914199855668, -0.16516616164069425, 0.35990291882894543, 0.14754054473443448, 0.12063742087859856, -0.011897014963783715, 0.2943673799892789, 0.0998890656475468, 0.06346212181409723, 0.06444640305677526, 0.2782621298487739, 0.19704262517686738, 0.17040377998430478, -0.2715760247389737, 0.062194203194475876, -0.01842899255846676] |
708.4183 | On martingale approximations | Consider additive functionals of a Markov chain $W_k$, with stationary
(marginal) distribution and transition function denoted by $\pi$ and $Q$, say
$S_n=g(W_1)+...+g(W_n)$, where $g$ is square integrable and has mean 0 with
respect to $\pi$. If $S_n$ has the form $S_n=M_n+R_n$, where $M_n$ is a square
integrable martingale with stationary increments and $E(R_n^2)=o(n)$, then $g$
is said to admit a martingale approximation. Necessary and sufficient
conditions for such an approximation are developed. Two obvious necessary
conditions are $E[E(S_n|W_1)^2]=o(n)$ and $\lim_{n\to
\infty}E(S_n^2)/n<\infty$. Assuming the first of these, let $\Vert
g\Vert^2_+=\limsup_{n\to \infty}E(S_n^2)/n$; then $\Vert\cdot\Vert_+$ defines a
pseudo norm on the subspace of $L^2(\pi)$ where it is finite. In one main
result, a simple necessary and sufficient condition for a martingale
approximation is developed in terms of $\Vert\cdot\Vert_+$. Let $Q^*$ denote
the adjoint operator to $Q$, regarded as a linear operator from $L^2(\pi)$ into
itself, and consider co-isometries ($QQ^*=I$), an important special case that
includes shift processes. In another main result a convenient orthonormal basis
for $L_0^2(\pi)$ is identified along with a simple necessary and sufficient
condition for the existence of a martingale approximation in terms of the
coefficients of the expansion of $g$ with respect to this basis.
| math.PR | consider additive functionals of a markov chain w_k with stationary marginal distribution and transition function denoted by pi and q say s_ngw_1gw_n where g is square integrable and has mean 0 with respect to pi if s_n has the form s_nm_nr_n where m_n is a square integrable martingale with stationary increments and er_n2on then g is said to admit a martingale approximation necessary and sufficient conditions for such an approximation are developed two obvious necessary conditions are ees_nw_12on and lim_nto inftyes_n2ninfty assuming the first of these let vert gvert2_limsup_nto inftyes_n2n then vertcdotvert_ defines a pseudo norm on the subspace of l2pi where it is finite in one main result a simple necessary and sufficient condition for a martingale approximation is developed in terms of vertcdotvert_ let q denote the adjoint operator to q regarded as a linear operator from l2pi into itself and consider coisometries qqi an important special case that includes shift processes in another main result a convenient orthonormal basis for l_02pi is identified along with a simple necessary and sufficient condition for the existence of a martingale approximation in terms of the coefficients of the expansion of g with respect to this basis | [['consider', 'additive', 'functionals', 'of', 'a', 'markov', 'chain', 'w_k', 'with', 'stationary', 'marginal', 'distribution', 'and', 'transition', 'function', 'denoted', 'by', 'pi', 'and', 'q', 'say', 's_ngw_1gw_n', 'where', 'g', 'is', 'square', 'integrable', 'and', 'has', 'mean', '0', 'with', 'respect', 'to', 'pi', 'if', 's_n', 'has', 'the', 'form', 's_nm_nr_n', 'where', 'm_n', 'is', 'a', 'square', 'integrable', 'martingale', 'with', 'stationary', 'increments', 'and', 'er_n2on', 'then', 'g', 'is', 'said', 'to', 'admit', 'a', 'martingale', 'approximation', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'such', 'an', 'approximation', 'are', 'developed', 'two', 'obvious', 'necessary', 'conditions', 'are', 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708.4184 | Entanglement transformation with no classical communication | We present an optimal scheme to realize the transformations between single
copies of two bipartite entangled states without classical communication
between the sharing parties. The scheme achieves the upper bound for the
success probabilities [PRA 63, 022301 (2001), PRL 83, 1455 (1999)] of
generating maximally entangled states if applied to entanglement concentration.
Such strategy also dispenses with the interaction with an ancilla system in the
implementation. We also show that classical communications are indispensable in
realizing the deterministic transformations of a single bipartite entangled
state. With a finite number of identical pairs of two entangled bosons, on the
other hand, we can realize the deterministic transformation to any target
entangled state of equal or less Schmidt rank through an extension of the
scheme.
| quant-ph | we present an optimal scheme to realize the transformations between single copies of two bipartite entangled states without classical communication between the sharing parties the scheme achieves the upper bound for the success probabilities pra 63 022301 2001 prl 83 1455 1999 of generating maximally entangled states if applied to entanglement concentration such strategy also dispenses with the interaction with an ancilla system in the implementation we also show that classical communications are indispensable in realizing the deterministic transformations of a single bipartite entangled state with a finite number of identical pairs of two entangled bosons on the other hand we can realize the deterministic transformation to any target entangled state of equal or less schmidt rank through an extension of the scheme | [['we', 'present', 'an', 'optimal', 'scheme', 'to', 'realize', 'the', 'transformations', 'between', 'single', 'copies', 'of', 'two', 'bipartite', 'entangled', 'states', 'without', 'classical', 'communication', 'between', 'the', 'sharing', 'parties', 'the', 'scheme', 'achieves', 'the', 'upper', 'bound', 'for', 'the', 'success', 'probabilities', 'pra', '63', '022301', '2001', 'prl', '83', '1455', '1999', 'of', 'generating', 'maximally', 'entangled', 'states', 'if', 'applied', 'to', 'entanglement', 'concentration', 'such', 'strategy', 'also', 'dispenses', 'with', 'the', 'interaction', 'with', 'an', 'ancilla', 'system', 'in', 'the', 'implementation', 'we', 'also', 'show', 'that', 'classical', 'communications', 'are', 'indispensable', 'in', 'realizing', 'the', 'deterministic', 'transformations', 'of', 'a', 'single', 'bipartite', 'entangled', 'state', 'with', 'a', 'finite', 'number', 'of', 'identical', 'pairs', 'of', 'two', 'entangled', 'bosons', 'on', 'the', 'other', 'hand', 'we', 'can', 'realize', 'the', 'deterministic', 'transformation', 'to', 'any', 'target', 'entangled', 'state', 'of', 'equal', 'or', 'less', 'schmidt', 'rank', 'through', 'an', 'extension', 'of', 'the', 'scheme']] | [-0.16107685427840163, 0.196341322189196, -0.057721994540888846, -0.002674658464767584, 0.01300101056013529, -0.24531421547649596, 0.09970927949260344, 0.3698826325693872, -0.21667780352347507, -0.31087481197181754, 0.022188947327828747, -0.2697576742233118, -0.10291984800923222, 0.1747010998726951, -0.05624109424264511, 0.08546635788312651, 0.05304776269155062, 0.037115358306252115, -0.053338874735286444, -0.3115720004013671, 0.28595471914433607, 0.013022795120089473, 0.335711762793665, -0.0015981495191108406, 0.1279927464353481, 0.06489974966393859, 0.033577137080596654, -0.07293847682166511, -0.07982928201214769, 0.11453215013602673, 0.2425794616437184, 0.15402128414546207, 0.2512957787943807, -0.3760705746831448, -0.13456993123016706, 0.1547883349750948, 0.09837216809316258, 0.1761117630782045, -0.019193786909099578, -0.31458354612615536, 0.0005136091050093736, -0.21919027949887804, -0.10357164132514803, -0.0685323818579195, 0.02578302968494079, -0.040894491279997475, -0.2980335433929553, 0.0704122131130016, 0.0437387403714039, 0.016077710029515777, -0.000625319990927611, -0.047487097246216504, -0.03081036543821901, 0.1079797666970398, -0.10134347985551609, 0.009129819736581266, 0.07107490721741706, -0.11382628818292444, -0.21709421885813154, 0.3264198988880508, -0.04622016171546183, -0.2202218732478597, 0.21223579382531466, -0.06488586428226918, -0.1202719088651361, 0.08902100235132909, 0.1261249049680262, 0.1016452100584132, -0.10344501640041912, 0.03106028510056951, -0.09390401628580157, 0.2347161094790582, 0.09101469148843874, 0.13453466204805223, 0.12990621689941764, 0.06077079898942777, 0.12020708079169679, 0.19556261231125205, -0.03602500264229995, -0.1301025175603061, -0.29619935584610435, -0.20806052688957852, -0.2418495920535018, 0.08539114717197249, -0.06335938609455054, -0.09825527629856687, 0.3598172820594204, 0.1088760146346867, 0.1519105975417708, 0.026901752616059246, 0.27320015557655475, 0.06773509996814456, 0.007670127230173931, 0.1401185540641408, 0.24699487390254088, 0.13552754791832067, 0.005313087281736932, -0.2306454931612967, 0.030966027696594234, 0.06326313175987906] |
708.4185 | A Submillimeter View of Circumstellar Dust Disks in $\rho$ Ophiuchus | We present new multiwavelength submillimeter continuum measurements of the
circumstellar dust around 48 young stars in the $\rho$ Ophiuchus dark clouds.
Supplemented with previous 1.3 mm observations of an additional 99 objects from
the literature, the statistical distributions of disk masses and submillimeter
colors are calculated and compared to those in the Taurus-Auriga region. These
basic submillimeter properties of young stellar objects in both environments
are shown to be essentially identical. As with their Taurus counterparts, the
$\rho$ Oph circumstellar dust properties are shown to evolve along an empirical
evolution sequence based on the infrared spectral energy distribution. The
combined $\rho$ Oph and Taurus Class II samples (173 sources) are used to set
benchmark values for basic outer disk characteristics: M_disk ~ 0.005 solar
masses, M_disk/M_star ~ 1%, and $\alpha$ ~ 2 (where $F_{\nu} \propto
\nu^{\alpha}$ between 350 microns and 1.3 mm). The precision of these numbers
are addressed in the context of substantial solid particle growth in the
earliest stages of the planet formation process. There is some circumstantial
evidence that disk masses inferred from submillimeter emission may be
under-estimated by up to an order of magnitude.
| astro-ph | we present new multiwavelength submillimeter continuum measurements of the circumstellar dust around 48 young stars in the rho ophiuchus dark clouds supplemented with previous 13 mm observations of an additional 99 objects from the literature the statistical distributions of disk masses and submillimeter colors are calculated and compared to those in the taurusauriga region these basic submillimeter properties of young stellar objects in both environments are shown to be essentially identical as with their taurus counterparts the rho oph circumstellar dust properties are shown to evolve along an empirical evolution sequence based on the infrared spectral energy distribution the combined rho oph and taurus class ii samples 173 sources are used to set benchmark values for basic outer disk characteristics m_disk 0005 solar masses m_diskm_star 1 and alpha 2 where f_nu propto nualpha between 350 microns and 13 mm the precision of these numbers are addressed in the context of substantial solid particle growth in the earliest stages of the planet formation process there is some circumstantial evidence that disk masses inferred from submillimeter emission may be underestimated by up to an order of magnitude | [['we', 'present', 'new', 'multiwavelength', 'submillimeter', 'continuum', 'measurements', 'of', 'the', 'circumstellar', 'dust', 'around', '48', 'young', 'stars', 'in', 'the', 'rho', 'ophiuchus', 'dark', 'clouds', 'supplemented', 'with', 'previous', '13', 'mm', 'observations', 'of', 'an', 'additional', '99', 'objects', 'from', 'the', 'literature', 'the', 'statistical', 'distributions', 'of', 'disk', 'masses', 'and', 'submillimeter', 'colors', 'are', 'calculated', 'and', 'compared', 'to', 'those', 'in', 'the', 'taurusauriga', 'region', 'these', 'basic', 'submillimeter', 'properties', 'of', 'young', 'stellar', 'objects', 'in', 'both', 'environments', 'are', 'shown', 'to', 'be', 'essentially', 'identical', 'as', 'with', 'their', 'taurus', 'counterparts', 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708.4186 | The Laguerre process and generalized Hartman--Watson law | In this paper, we study complex Wishart processes or the so-called Laguerre
processes $(X_t)_{t\geq0}$. We are interested in the behaviour of the
eigenvalue process; we derive some useful stochastic differential equations and
compute both the infinitesimal generator and the semi-group. We also give
absolute-continuity relations between different indices. Finally, we compute
the density function of the so-called generalized Hartman--Watson law as well
as the law of $T_0:=\inf\{t,\det(X_t)=0\}$ when the size of the matrix is 2.
| math.PR math.ST stat.TH | in this paper we study complex wishart processes or the socalled laguerre processes x_t_tgeq0 we are interested in the behaviour of the eigenvalue process we derive some useful stochastic differential equations and compute both the infinitesimal generator and the semigroup we also give absolutecontinuity relations between different indices finally we compute the density function of the socalled generalized hartmanwatson law as well as the law of t_0inftdetx_t0 when the size of the matrix is 2 | [['in', 'this', 'paper', 'we', 'study', 'complex', 'wishart', 'processes', 'or', 'the', 'socalled', 'laguerre', 'processes', 'x_t_tgeq0', 'we', 'are', 'interested', 'in', 'the', 'behaviour', 'of', 'the', 'eigenvalue', 'process', 'we', 'derive', 'some', 'useful', 'stochastic', 'differential', 'equations', 'and', 'compute', 'both', 'the', 'infinitesimal', 'generator', 'and', 'the', 'semigroup', 'we', 'also', 'give', 'absolutecontinuity', 'relations', 'between', 'different', 'indices', 'finally', 'we', 'compute', 'the', 'density', 'function', 'of', 'the', 'socalled', 'generalized', 'hartmanwatson', 'law', 'as', 'well', 'as', 'the', 'law', 'of', 't_0inftdetx_t0', 'when', 'the', 'size', 'of', 'the', 'matrix', 'is', '2']] | [-0.0809715540875515, 0.10439228237134544, -0.0794777962417431, 0.13991814996335636, -0.0515184275652856, -0.06970707773651978, 0.0028459552359728986, 0.3221209512589729, -0.31706512232999995, -0.24516131496056914, 0.13263025547199156, -0.29745970887119233, -0.2279628435219957, 0.15079316204614707, -0.04504555011206396, 0.06734520697022138, -0.022834381461781385, 0.040587356518188566, -0.08601058131619675, -0.15691003167670067, 0.3873536030615182, 0.04614164120651629, 0.23565219019935146, 0.02463127772821343, 0.10647409265758852, 0.021066676078951112, -0.06804963485784318, -0.032044856617711996, -0.17675582652477778, 0.0949587095688314, 0.22210169540182367, 0.11953344887556279, 0.22457806077109624, -0.42137195703203545, -0.12911373767874215, 0.16965246966032133, 0.13138649874161099, 0.05482257190734556, -0.0034843076033237047, -0.22905391568560407, 0.07774337294371161, -0.18080597419342767, -0.18684384749870594, -0.07598817824666733, 0.015012669364271099, 0.1039459077379832, -0.28489521074376695, 0.09433888301152851, 0.10365869919530256, 0.043732277627983325, -0.025068535998922913, -0.1141828518864788, 0.01612968024261908, 0.1359356468027515, 0.044246301405396544, -0.1111173122030466, 0.10116031202679016, -0.09890171556019109, -0.09699732757074606, 0.3578773392109226, -0.059893353437934685, -0.23011607684399168, 0.11164038304290543, -0.19654012337480098, -0.14842255730564669, 0.03312806952234409, 0.19530846154291745, 0.15887572588331278, -0.1548058791574464, 0.1226385550059965, -0.03299447316644483, 0.07118232073645069, 0.025807763864477612, 0.018719422898880424, 0.08931238100902267, 0.08793008297184253, 0.03959044432969228, 0.19407229236492965, -0.038054593073280706, -0.13046497012781974, -0.34522641281763167, -0.20192117056464903, -0.15585039881351467, 0.07327341333937461, -0.1638130636830744, -0.19669232383523494, 0.39030821862541243, 0.12641266960178643, 0.22379202635525025, 0.1105744897783415, 0.2230710786402908, 0.24950289267931797, -0.015480964659866302, 0.0632977810024909, 0.15666858897399324, 0.18620398235252153, 0.09791167455482973, -0.20635633423210006, 0.05886432969279281, 0.1171722181096724] |
708.4187 | Constructive decomposition of a function of two variables as a sum of
functions of one variable | Given a compact set $K$ in the plane, which does not contain any triple of
points forming a vertical and a horizontal segment, and a map $f\in C(K)$, we
give a construction of functions $g,h\in C(\mathbb R)$ such that
$f(x,y)=g(x)+h(y)$ for all $(x,y)\in K$. This provides a constructive proof of
a part of Sternfeld's theorem on basic embeddings in the plane. In our proof
the set $K$ is approximated by a finite set of points.
| math.GN | given a compact set k in the plane which does not contain any triple of points forming a vertical and a horizontal segment and a map fin ck we give a construction of functions ghin cmathbb r such that fxygxhy for all xyin k this provides a constructive proof of a part of sternfelds theorem on basic embeddings in the plane in our proof the set k is approximated by a finite set of points | [['given', 'a', 'compact', 'set', 'k', 'in', 'the', 'plane', 'which', 'does', 'not', 'contain', 'any', 'triple', 'of', 'points', 'forming', 'a', 'vertical', 'and', 'a', 'horizontal', 'segment', 'and', 'a', 'map', 'fin', 'ck', 'we', 'give', 'a', 'construction', 'of', 'functions', 'ghin', 'cmathbb', 'r', 'such', 'that', 'fxygxhy', 'for', 'all', 'xyin', 'k', 'this', 'provides', 'a', 'constructive', 'proof', 'of', 'a', 'part', 'of', 'sternfelds', 'theorem', 'on', 'basic', 'embeddings', 'in', 'the', 'plane', 'in', 'our', 'proof', 'the', 'set', 'k', 'is', 'approximated', 'by', 'a', 'finite', 'set', 'of', 'points']] | [-0.22659814592476027, 0.03952362966044126, -0.09784774336259107, -0.001496459823101759, -0.07859984579546428, -0.10153738888786049, 0.10476331402723854, 0.3184131341608795, -0.2609014914597611, -0.18725830170552474, 0.07365387685854945, -0.279072593809483, -0.11274332394571723, 0.22904180306186145, -0.056182615276476416, -0.04176415756307039, 0.05529011016699007, 0.08071643161914639, -0.05816983428431322, -0.2306090673003849, 0.32622850887678767, -0.11211232430729512, 0.15615692058250913, 0.0602260657233765, 0.14530606254010234, 0.029150106390384404, 0.0076012393283481534, 0.022274027784619278, -0.1690097113201478, 0.10923368903191609, 0.2762679655255901, 0.16572358102437007, 0.2659787025831237, -0.3174990904517472, -0.1695524983550894, 0.18056642180277235, 0.11391591403406819, 0.01825393316598697, -0.027640448651918385, -0.22937456631680597, 0.1594803730038473, -0.0674093646072858, -0.14908063692367962, -0.03678974456380348, 0.08058677989410588, 0.030748051798877282, -0.3042039175052196, -0.037304997557421796, 0.20257138259507515, 0.1264364192438488, -0.018728454716856014, -0.12412005480114571, -0.046904144550648494, 0.08209843150767926, -0.11407402778560347, 0.16050796342283688, 0.07541762217816368, -0.03847799828666187, -0.06954565899119385, 0.37724170366906234, -0.07576156201193461, -0.24134143894991358, 0.1446042343898601, -0.15287454462786382, -0.14541970862931497, 0.1334529496458787, 0.11585112951846945, 0.16274091532151844, -0.09835121038092955, 0.1784132877978295, -0.1533687239563143, 0.14024448917543114, 0.10476356649746162, -0.027842882171122206, 0.2011377183795982, 0.09449700578241735, 0.13584764269054742, 0.12006080810710587, -0.013246990076417255, 0.009168595270681623, -0.41132020070595116, -0.17388295198867815, -0.19510659889311757, 0.10138246465519203, -0.11978785188300724, -0.25933505004473234, 0.37746117818421004, 0.05254837853607495, 0.25040583950593265, 0.06966214556706364, 0.24688325654967008, 0.06976820841943687, 0.06872458514329549, 0.12518158122720952, 0.10099406589477046, 0.12065903411083226, 0.00856800825410598, -0.10177881964734076, 0.004839841880508371, 0.17924013433386446] |
708.4188 | Rational maps between moduli spaces of curves and Gieseker-Petri
divisors | We perform an intersection theoretic study of the rational map between two
different moduli spaces of stable curves which associates to a curve its
corresponding Brill-Noether locus (in the case this locus has virtual dimension
1). We then use these results to describe the cone of moving divisors on M_g.
Several other applications to moduli spaces of Prym varieties are presented. In
a different direction, we prove that the locus in M_g of curves failing to
satisfy the Gieseker-Petri theorem is supported in codimension 1 for every
possible type of linear series.
| math.AG | we perform an intersection theoretic study of the rational map between two different moduli spaces of stable curves which associates to a curve its corresponding brillnoether locus in the case this locus has virtual dimension 1 we then use these results to describe the cone of moving divisors on m_g several other applications to moduli spaces of prym varieties are presented in a different direction we prove that the locus in m_g of curves failing to satisfy the giesekerpetri theorem is supported in codimension 1 for every possible type of linear series | [['we', 'perform', 'an', 'intersection', 'theoretic', 'study', 'of', 'the', 'rational', 'map', 'between', 'two', 'different', 'moduli', 'spaces', 'of', 'stable', 'curves', 'which', 'associates', 'to', 'a', 'curve', 'its', 'corresponding', 'brillnoether', 'locus', 'in', 'the', 'case', 'this', 'locus', 'has', 'virtual', 'dimension', '1', 'we', 'then', 'use', 'these', 'results', 'to', 'describe', 'the', 'cone', 'of', 'moving', 'divisors', 'on', 'm_g', 'several', 'other', 'applications', 'to', 'moduli', 'spaces', 'of', 'prym', 'varieties', 'are', 'presented', 'in', 'a', 'different', 'direction', 'we', 'prove', 'that', 'the', 'locus', 'in', 'm_g', 'of', 'curves', 'failing', 'to', 'satisfy', 'the', 'giesekerpetri', 'theorem', 'is', 'supported', 'in', 'codimension', '1', 'for', 'every', 'possible', 'type', 'of', 'linear', 'series']] | [-0.19615439255721867, 0.04113593881297477, -0.14652052920554642, 0.09936066671355587, -0.07978114909897356, -0.13547831987860895, 0.01982111053423622, 0.35276029763095407, -0.3260812275516598, -0.1523049589469219, 0.0891928105620141, -0.25653496336029924, -0.14747480263062956, 0.2664673688983464, -0.183061708549402, -0.0032026931540989926, 0.002906447756053556, 0.0426869072607192, -0.08529933627869468, -0.34905842762015277, 0.4591976923301168, -0.11206857881346799, 0.2311449104884599, 0.04392019404179376, 0.09999243351225943, 0.019344498089555164, 0.0013620963385936034, -0.022505946907862697, -0.1677178230631556, 0.1737405391455547, 0.3170715081707939, 0.11770358768231033, 0.17774221631090925, -0.34908159626185964, -0.15670341376782113, 0.24769733492892398, 0.11553085222334156, 0.0006236439487269229, 0.045180314829137744, -0.1689803010920751, 0.12317953626220317, -0.10190351759893415, -0.259903961620496, -0.07757145890702857, 0.05699256362909775, 0.03960683009253167, -0.15916159048514522, -0.04735498887527248, 0.04828251444775125, 0.15599367216877316, -0.07096759144991191, -0.10960993808491723, -0.11045782894159303, 0.0802609326834183, 0.042584479009509894, 0.05648637700917037, 0.08412659884893599, -0.10368169748740595, -0.10607900910595756, 0.3613166448650072, -0.058023615075913054, -0.19949561397990453, 0.17112942267735692, -0.14321588377630257, -0.1496885156375356, 0.13590866328298074, 0.14356550343496643, 0.19007363917974188, -0.016884581013785108, 0.13902018340709416, -0.08849224521090156, 0.07615864678012693, 0.10574314591687416, -0.03896612629456365, 0.14839626292941038, 0.1218390202595164, 0.07331463074028167, 0.12386492065359009, -0.07371542842441198, -0.04947941586737136, -0.3997896304556533, -0.20610921276206878, -0.09629625805119639, 0.08922240543482907, -0.13414072449845466, -0.16379797783599276, 0.4086114731009888, 0.07192707307252061, 0.24844007372967494, 0.10383376418536974, 0.24394082900582123, 0.030105551279595365, 0.0014588717300363858, 0.042436555245607764, 0.2015661019426973, 0.17083305887796957, -0.01791871764757873, -0.1175951156259069, -0.048674827522557716, 0.19992994397382616] |
708.4189 | Some algorithms for semi-invariants of quivers | We present some theorems and algorithms for calculating perpendicular
categories and locally semi-simple decompositions. We implemented a computer
program {\sc TETIVA} based on these algorithms and we offer this program for
everybody's use.
| math.RT math.AG | we present some theorems and algorithms for calculating perpendicular categories and locally semisimple decompositions we implemented a computer program sc tetiva based on these algorithms and we offer this program for everybodys use | [['we', 'present', 'some', 'theorems', 'and', 'algorithms', 'for', 'calculating', 'perpendicular', 'categories', 'and', 'locally', 'semisimple', 'decompositions', 'we', 'implemented', 'a', 'computer', 'program', 'sc', 'tetiva', 'based', 'on', 'these', 'algorithms', 'and', 'we', 'offer', 'this', 'program', 'for', 'everybodys', 'use']] | [-0.1256190751108431, -0.0460111994236227, -0.1449455316328714, 0.11286646414232711, -0.10649179135479274, -0.18628477198522417, 0.0461247977199814, 0.4847015142440796, -0.2662190967990506, -0.2740056725038636, 0.16812525000122766, -0.16357583949162113, -0.1615447074535393, 0.2929120443521007, -0.04844924792527191, 0.03494589913996958, 0.09567025027448131, -0.06004417849884879, -0.13111408659906668, -0.30269836730534033, 0.34828886750244326, -0.03221600716032328, 0.23949056770652533, 0.06160297743495433, 0.0798179890825263, 0.06409791751854843, -0.06131453610836498, 0.08861325140441617, -0.20007926711602317, 0.1815768330087585, 0.3203743179478953, 0.21215971029033104, 0.2499921621093827, -0.4664704355020677, -0.02771649777048057, 0.12558286345653957, 0.1281568295652828, 0.1625786703530579, -0.09474221705984805, -0.2608162326317641, 0.09723131176865389, -0.15713287511419866, -0.03613964708582047, -0.16709169096523716, -0.015531457029283047, 0.009483493143512357, -0.22905938387397798, -0.03763155561060675, 0.051170052239491094, 0.12286755265367608, -0.05831657028606822, -0.1793627575520546, 0.06965589191343996, 0.09541703026080804, -0.07247679115783784, 0.007470695932786311, 0.12273920115624223, -0.050083304597665704, -0.21634352723917655, 0.3485909818160918, -0.022539590124882037, -0.19451895302101488, 0.20599182715429173, -0.024829117340906974, -0.24901761294853303, 0.04409650484881093, 0.21799655180544622, 0.17419354112878924, -0.06717829850892867, 0.11670180825674306, -0.043689469656636636, 0.06704054388307756, 0.005823873283882295, 0.023542721875973286, 0.17573076019424103, 0.15274516245230071, 0.031592918049183585, 0.1607337157512384, -0.03372518816632369, 0.010712855585640477, -0.3023246242514541, -0.1720033737440263, -0.087612732546404, -0.022252838698125655, -0.026764907121692123, -0.18137975397609896, 0.4038904289444608, 0.203315579001942, 0.06650338679431908, 0.14334544248037762, 0.3122222443381625, 0.05434427398347085, 0.07410632164007233, 0.20553600109152256, 0.14624415134218702, 0.18947383539090235, 0.08335006094327377, -0.14225574258354404, -0.02252986916010418, 0.16260918458142587] |
708.419 | External edge condition and group cohomologies associated with the
quantum Clebsch-Gordan condition | In this article we determine the structure of a twisted first cohomology
group of the first homology of a trivalent graph with a coefficient associated
with the quantum Clebsch-Gordan condition. As an application we give a
characterization of a combinatorial property, the external edge condition,
which is defined by the author in the study of the Heisenberg representation on
the TQFT-module.
| math.GT math.CO | in this article we determine the structure of a twisted first cohomology group of the first homology of a trivalent graph with a coefficient associated with the quantum clebschgordan condition as an application we give a characterization of a combinatorial property the external edge condition which is defined by the author in the study of the heisenberg representation on the tqftmodule | [['in', 'this', 'article', 'we', 'determine', 'the', 'structure', 'of', 'a', 'twisted', 'first', 'cohomology', 'group', 'of', 'the', 'first', 'homology', 'of', 'a', 'trivalent', 'graph', 'with', 'a', 'coefficient', 'associated', 'with', 'the', 'quantum', 'clebschgordan', 'condition', 'as', 'an', 'application', 'we', 'give', 'a', 'characterization', 'of', 'a', 'combinatorial', 'property', 'the', 'external', 'edge', 'condition', 'which', 'is', 'defined', 'by', 'the', 'author', 'in', 'the', 'study', 'of', 'the', 'heisenberg', 'representation', 'on', 'the', 'tqftmodule']] | [-0.20058921196808419, 0.08852764139325396, -0.10875391571704919, 0.007200038370986779, -0.09574875412508846, -0.05678546775598079, 0.015882291842717677, 0.32426588019977015, -0.3192981514458855, -0.2629985351736347, 0.12075900312047452, -0.2168269636730353, -0.21116842680300277, 0.13781252801418303, -0.07389614594867452, -0.02022234775746862, 0.054699983168393376, 0.14885498102909575, -0.0867073178464731, -0.2203244902722266, 0.395098089830329, 0.03342322599103985, 0.22242694155623516, 0.08371499637141824, 0.09146325420588255, 0.0335420992380629, -0.01901750477651755, 0.013245295640081168, -0.19028014942693214, 0.1825059084997823, 0.22646452089150745, 0.017753495547610024, 0.20479549322044477, -0.3753628372835616, -0.12612174768776943, 0.09724316440988331, 0.0656799313845113, 0.06963285818734827, -0.0500185293397711, -0.2799931592773646, 0.11559847997656712, -0.21673730767021576, -0.14333435414203752, -0.030212452495470644, -0.0066225184438129265, 0.0008103653749761482, -0.24818481749874385, 0.007880669816707571, 0.11347493579766403, 0.13072784480949243, -0.08405283166406055, -0.04360258719728639, -0.01180785990630587, 0.13355107380387685, -0.018895225937012584, 0.02703097266688322, 0.05489784222251425, -0.1606293291746018, -0.17870919053481582, 0.39422734739879767, -0.06616319928628703, -0.208468313763539, 0.0884871376445517, -0.13394354401001085, -0.21491304285203416, 0.0725036937588205, 0.09720422054330508, 0.15603881450369955, -0.09824124017516928, 0.13468046674194437, -0.12334062904119492, 0.0816265714665254, 0.05752549056584636, 0.005785401258617639, 0.12090912498921777, 0.1258346825061987, 0.11783602643602838, 0.228475398158965, -0.009560848777376426, -0.04021220978659888, -0.34043779470957813, -0.271076243929565, -0.2185233999043703, 0.11850944003866365, -0.09355881800098965, -0.22699396409831632, 0.4624682267817358, 0.08039728751561294, 0.2354071414777233, 0.050137252797139806, 0.23925104370961586, 0.11976947082633463, 0.0468867431084315, 0.024671690592852732, 0.13415356969926506, 0.22879212899521614, 0.032171895766320326, -0.18985686478360245, 0.04735384729380409, 0.2064325051071743] |
708.4191 | Partial magmatic bialgebras | A partial magmatic bialgebra, (T;S)-magmatic bialgebra where T \subset S are
subsets of the set of positive integers, is a vector space endowed with an
n-ary operation for each n in S and an m-ary co-operation for each m in T
satisfying some compatibility and unitary relations. We prove an analogue of
the Poincar\'e-Birkhoff-Witt theorem for these partial magmatic bialgebras.
| math.RA math.CO | a partial magmatic bialgebra tsmagmatic bialgebra where t subset s are subsets of the set of positive integers is a vector space endowed with an nary operation for each n in s and an mary cooperation for each m in t satisfying some compatibility and unitary relations we prove an analogue of the poincarebirkhoffwitt theorem for these partial magmatic bialgebras | [['a', 'partial', 'magmatic', 'bialgebra', 'tsmagmatic', 'bialgebra', 'where', 't', 'subset', 's', 'are', 'subsets', 'of', 'the', 'set', 'of', 'positive', 'integers', 'is', 'a', 'vector', 'space', 'endowed', 'with', 'an', 'nary', 'operation', 'for', 'each', 'n', 'in', 's', 'and', 'an', 'mary', 'cooperation', 'for', 'each', 'm', 'in', 't', 'satisfying', 'some', 'compatibility', 'and', 'unitary', 'relations', 'we', 'prove', 'an', 'analogue', 'of', 'the', 'poincarebirkhoffwitt', 'theorem', 'for', 'these', 'partial', 'magmatic', 'bialgebras']] | [-0.2501871945115469, 0.1414818399399815, 0.028036957732954268, 0.03806948036121173, -0.14118909669282326, -0.16281642534343874, 0.04850527422376356, 0.3410502897607068, -0.37232169215330635, -0.1512428503641385, 0.05974310757671246, -0.2735070495124338, -0.13009533867382017, 0.15512807908373238, -0.1271737193278337, -0.02284672166520761, 0.031600745710528504, 0.1845343084887491, -0.0975279456193922, -0.2759984409341873, 0.3987938978283082, -0.05090839018003415, 0.17626703341128463, -0.04578111623808489, 0.1715270106412344, 0.03573645638712382, -0.0025839843960889317, -0.023570040075633264, -0.16884799137458964, 0.028846744937285528, 0.3314691906384492, 0.13483680956365574, 0.224828995574834, -0.3695987145084951, -0.0699052669234195, 0.1602836509286505, 0.05593735971724836, -0.03818456196005188, -0.0008610113231875634, -0.3011026749292673, 0.17326609184176234, -0.2016733994675895, -0.07135782112225385, -0.050300281573781525, 0.1798243013731504, -0.020602932973307068, -0.3572773160570759, -0.05445706915362912, 0.14815776899725325, 0.13841174544482412, -0.10018466091793725, -0.14312672318290856, -0.07389937586277344, 0.05970601392594182, -0.11998451092690861, 0.048155816735589274, 0.033576952790746746, -0.04092388506189494, -0.177797012236285, 0.324049335730783, -0.046659006421470035, -0.24047574325133178, 0.09561225559594015, -0.15971266836622508, -0.18465832388028502, 0.07828002895023357, 0.03349502777317697, 0.11285956251292915, -0.08874836865559978, 0.19889639421973881, -0.15569876336445243, 0.05825643833347802, 0.18211634259007997, 0.06031828460488784, 0.1646821320696213, 0.12310526854658531, 0.12137231315975472, 0.10703463983422114, 0.03827535119539095, 0.007587283384054899, -0.3916610734442533, -0.228741077122168, -0.06339448939819457, 0.13980307456863633, -0.14874416489156073, -0.15932626131985148, 0.28141237901902555, 0.05507612783240817, 0.215876511171839, 0.11427724219353522, 0.1428185535942094, 0.06820993856117484, 0.045114580312964774, 0.05645419841127123, -0.007662023786135744, 0.28209106747250434, 0.02627891267381482, -0.15854831296413885, 0.0020621921788206545, 0.17927094564725787] |
708.4192 | Probing Unification With Chandra HETGS and XMM-Newton EPIC And RGS
Spectroscopy of the Narrow Emission Line Galaxy NGC 2110 | We present results from Chandra HETGS (250 ks over two epochs) and XMM-Newton
EPIC and RGS (60 ks) observations of NGC 2110, which has been historically
classified as a Narrow Emission Line Galaxy galaxy. Our results support the
interpretation that the source is a Seyfert 2 viewed through a patchy absorber.
The nuclear X-ray spectrum of the source is best described by a power law of
photon index $\Gamma$ ~1.7, modified by absorption from multiple layers of
neutral material at a large distance from the central supermassive black hole.
We report the strong detections of Fe K$\alpha$ and Si K$\alpha$ lines, which
are marginally resolved with the Chandra HETGS, and we constrain the emission
radius of the fluorescing material to >1 pc. There is some evidence for modest
additional broadening at the base of the narrow Fe K$\alpha$ core with a
velocity ~4500 km s$^{-1}$. We find tentative evidence for ionized emission (O
VIII Ly $\alpha$, an O VIII RRC feature, and possibly a Ne IX forbidden line)
in the Chandra MEG and XMM-Newton RGS spectra, which could be associated with
the known extended X-ray emission that lies ~160 pc from the nucleus. We
suggest that the $10^{23}$ cm$^{-2}$ partially covering absorber originates in
broad-line region clouds in the vicinity of the AGN, and that the
$3\times10^{22}$ cm$^{-2}$ coverer is likely to have a more distant origin and
have a flattened geometry in order to allow the small-scale radio jet to
escape.
| astro-ph | we present results from chandra hetgs 250 ks over two epochs and xmmnewton epic and rgs 60 ks observations of ngc 2110 which has been historically classified as a narrow emission line galaxy galaxy our results support the interpretation that the source is a seyfert 2 viewed through a patchy absorber the nuclear xray spectrum of the source is best described by a power law of photon index gamma 17 modified by absorption from multiple layers of neutral material at a large distance from the central supermassive black hole we report the strong detections of fe kalpha and si kalpha lines which are marginally resolved with the chandra hetgs and we constrain the emission radius of the fluorescing material to 1 pc there is some evidence for modest additional broadening at the base of the narrow fe kalpha core with a velocity 4500 km s1 we find tentative evidence for ionized emission o viii ly alpha an o viii rrc feature and possibly a ne ix forbidden line in the chandra meg and xmmnewton rgs spectra which could be associated with the known extended xray emission that lies 160 pc from the nucleus we suggest that the 1023 cm2 partially covering absorber originates in broadline region clouds in the vicinity of the agn and that the 3times1022 cm2 coverer is likely to have a more distant origin and have a flattened geometry in order to allow the smallscale radio jet to escape | [['we', 'present', 'results', 'from', 'chandra', 'hetgs', '250', 'ks', 'over', 'two', 'epochs', 'and', 'xmmnewton', 'epic', 'and', 'rgs', '60', 'ks', 'observations', 'of', 'ngc', '2110', 'which', 'has', 'been', 'historically', 'classified', 'as', 'a', 'narrow', 'emission', 'line', 'galaxy', 'galaxy', 'our', 'results', 'support', 'the', 'interpretation', 'that', 'the', 'source', 'is', 'a', 'seyfert', '2', 'viewed', 'through', 'a', 'patchy', 'absorber', 'the', 'nuclear', 'xray', 'spectrum', 'of', 'the', 'source', 'is', 'best', 'described', 'by', 'a', 'power', 'law', 'of', 'photon', 'index', 'gamma', '17', 'modified', 'by', 'absorption', 'from', 'multiple', 'layers', 'of', 'neutral', 'material', 'at', 'a', 'large', 'distance', 'from', 'the', 'central', 'supermassive', 'black', 'hole', 'we', 'report', 'the', 'strong', 'detections', 'of', 'fe', 'kalpha', 'and', 'si', 'kalpha', 'lines', 'which', 'are', 'marginally', 'resolved', 'with', 'the', 'chandra', 'hetgs', 'and', 'we', 'constrain', 'the', 'emission', 'radius', 'of', 'the', 'fluorescing', 'material', 'to', '1', 'pc', 'there', 'is', 'some', 'evidence', 'for', 'modest', 'additional', 'broadening', 'at', 'the', 'base', 'of', 'the', 'narrow', 'fe', 'kalpha', 'core', 'with', 'a', 'velocity', '4500', 'km', 's1', 'we', 'find', 'tentative', 'evidence', 'for', 'ionized', 'emission', 'o', 'viii', 'ly', 'alpha', 'an', 'o', 'viii', 'rrc', 'feature', 'and', 'possibly', 'a', 'ne', 'ix', 'forbidden', 'line', 'in', 'the', 'chandra', 'meg', 'and', 'xmmnewton', 'rgs', 'spectra', 'which', 'could', 'be', 'associated', 'with', 'the', 'known', 'extended', 'xray', 'emission', 'that', 'lies', '160', 'pc', 'from', 'the', 'nucleus', 'we', 'suggest', 'that', 'the', '1023', 'cm2', 'partially', 'covering', 'absorber', 'originates', 'in', 'broadline', 'region', 'clouds', 'in', 'the', 'vicinity', 'of', 'the', 'agn', 'and', 'that', 'the', '3times1022', 'cm2', 'coverer', 'is', 'likely', 'to', 'have', 'a', 'more', 'distant', 'origin', 'and', 'have', 'a', 'flattened', 'geometry', 'in', 'order', 'to', 'allow', 'the', 'smallscale', 'radio', 'jet', 'to', 'escape']] | [-0.0442107189364569, 0.05590860955316923, -0.014665508658250339, 0.0633090621215983, -0.09286966404966485, -0.14524970991784297, 0.04671566644239073, 0.489355480337044, -0.14579809157861806, -0.32806822945097175, 0.0425785327701215, -0.35769310753591577, 0.026445629788153027, 0.16650703575687203, 0.024215085023151384, -0.08494221822540295, 0.0059292638124666215, -0.11499695841868358, -0.013718783731777144, -0.17801113336934435, 0.2865195152754567, 0.09856420888322023, 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-0.09080766519547065, 0.042880359969491424, -0.10256057415259963, 0.3127231996919944, 0.04392100869836402, 0.0744237739997829, 0.30466851690992774, 0.03083022546624046, 0.011794601012546863, 0.10019071969272245, -0.31786464970907646, 0.025975409269147393, -0.278503655089733, -0.11499781810525897, -0.10548073917781488, 0.13910093834078813, -0.14240967569615753, -0.1167601528770727, 0.3299553885580624, 0.05982476510894891, 0.26242235959874644, -0.029785051161261022, 0.2868379160966647, 0.10538819303380564, 0.0566213091244125, 0.12959852381860568, 0.32805962764420854, 0.17927580018125908, 0.11380061664168348, -0.20053552129379323, 0.04091258573488823, -0.007688630544252045] |
708.4193 | On the temperature of the moving rod | In this paper the Lorentz transformation for temperature is derived and
discussed. Considering the hyperbolic heat transport equation it is shown that
T(prim) = gamma T, where gamma is the Lorentz factor, T denotes the temperature
in the rest system and T(prim) is the temperature in the moving system (rod).
| physics.gen-ph | in this paper the lorentz transformation for temperature is derived and discussed considering the hyperbolic heat transport equation it is shown that tprim gamma t where gamma is the lorentz factor t denotes the temperature in the rest system and tprim is the temperature in the moving system rod | [['in', 'this', 'paper', 'the', 'lorentz', 'transformation', 'for', 'temperature', 'is', 'derived', 'and', 'discussed', 'considering', 'the', 'hyperbolic', 'heat', 'transport', 'equation', 'it', 'is', 'shown', 'that', 'tprim', 'gamma', 't', 'where', 'gamma', 'is', 'the', 'lorentz', 'factor', 't', 'denotes', 'the', 'temperature', 'in', 'the', 'rest', 'system', 'and', 'tprim', 'is', 'the', 'temperature', 'in', 'the', 'moving', 'system', 'rod']] | [-0.17119008789899104, 0.22459968223058163, -0.046196774401246234, -0.026943028451220943, -0.0305729552786401, -0.13222086755558848, 0.01285424747719786, 0.3537624068558216, -0.3129997773769688, -0.2237172118051255, 0.05372350325837652, -0.3115613808300584, -0.08180531977299363, 0.2001772951334715, -0.002513090822290867, 0.04062247632982883, -0.056263588264861955, 0.13770208189739508, -0.07630961704900131, -0.16123693971399297, 0.31374251531397407, 0.08593980596460243, 0.28927701117193444, 0.0606699312165221, 0.11008004751056433, -0.01653083182990234, -0.010121971854266333, 0.04627511436317829, -0.15234263978995743, -0.025346619136472966, 0.18181146942871682, 0.01951893018756775, 0.17220018135799847, -0.3032324045420961, -0.2448978463306706, 0.0822020444345284, 0.07383951017672712, 0.006275391285406782, -0.04073162168819219, -0.22458766579152423, 0.010385531337654337, -0.11538732919762744, -0.15971611842433822, -0.00904935915419396, 0.09616423576594667, -0.03357059672038923, -0.2500154191350683, 0.13271201150812287, 0.09952552410516333, 0.007509768227154904, -0.0737422840134736, -0.08493825440057257, -0.017545518088848033, 0.07686666795547972, 0.09702149071195658, 0.08989459635848378, 0.17413232015802504, -0.10277055686914381, 0.016651182792129668, 0.4620659351348877, -0.06222351782142799, -0.2022432604844266, 0.13715460316396932, -0.21951779025666257, -0.09218114577828253, 0.1219139613528201, 0.1278181736298064, 0.10944750884230783, -0.21553672733221282, 0.18930794286511918, -0.04174775059552903, 0.12353501772072087, 0.0888943123294318, -0.05773141097396295, 0.11209118031361635, 0.1992347481402945, 0.04147989211722891, 0.14236843094546744, -0.0850977428019681, -0.03577022563586844, -0.36572078746208486, -0.2138276386292691, -0.19452836570587564, 0.08906565773043226, -0.07611323656214579, -0.09846148180386467, 0.3170471299201884, 0.09864142620341575, 0.16615971645459215, 0.005309728657866412, 0.2606086065953082, 0.23463484049066308, 0.039839287001164035, 0.16707970968824118, 0.23306164072152782, 0.16902499770785265, 0.1428934891529857, -0.30913973508521597, 0.014674353829406678, 0.09224723502894507] |
708.4194 | Nonlinear electrostatics: steps towards a neoclassical electron model | The equations of electrostatics are presented in pre-metric form, and it is
pointed out that if the origin of the nonlinearity is the constitutive law for
the medium then the differential equations themselves remain linear, while the
nonlinearity is confined to an algebraic equation. These equations are solved
for a general class of electric fields that include the common textbook
examples, namely, fields that are adapted to a coordinate vector field. The
special forms that they then take for particular electric constitutive laws of
quantum origin, namely, the constitutive laws derived from the Born-Infeld and
Heisenberg-Euler Lagrangians, are then discussed. Finally, the classical
problem of modeling the electron is redefined in light of the established facts
of quantum physics.
| physics.gen-ph physics.class-ph | the equations of electrostatics are presented in premetric form and it is pointed out that if the origin of the nonlinearity is the constitutive law for the medium then the differential equations themselves remain linear while the nonlinearity is confined to an algebraic equation these equations are solved for a general class of electric fields that include the common textbook examples namely fields that are adapted to a coordinate vector field the special forms that they then take for particular electric constitutive laws of quantum origin namely the constitutive laws derived from the borninfeld and heisenbergeuler lagrangians are then discussed finally the classical problem of modeling the electron is redefined in light of the established facts of quantum physics | [['the', 'equations', 'of', 'electrostatics', 'are', 'presented', 'in', 'premetric', 'form', 'and', 'it', 'is', 'pointed', 'out', 'that', 'if', 'the', 'origin', 'of', 'the', 'nonlinearity', 'is', 'the', 'constitutive', 'law', 'for', 'the', 'medium', 'then', 'the', 'differential', 'equations', 'themselves', 'remain', 'linear', 'while', 'the', 'nonlinearity', 'is', 'confined', 'to', 'an', 'algebraic', 'equation', 'these', 'equations', 'are', 'solved', 'for', 'a', 'general', 'class', 'of', 'electric', 'fields', 'that', 'include', 'the', 'common', 'textbook', 'examples', 'namely', 'fields', 'that', 'are', 'adapted', 'to', 'a', 'coordinate', 'vector', 'field', 'the', 'special', 'forms', 'that', 'they', 'then', 'take', 'for', 'particular', 'electric', 'constitutive', 'laws', 'of', 'quantum', 'origin', 'namely', 'the', 'constitutive', 'laws', 'derived', 'from', 'the', 'borninfeld', 'and', 'heisenbergeuler', 'lagrangians', 'are', 'then', 'discussed', 'finally', 'the', 'classical', 'problem', 'of', 'modeling', 'the', 'electron', 'is', 'redefined', 'in', 'light', 'of', 'the', 'established', 'facts', 'of', 'quantum', 'physics']] | [-0.12236227331870869, 0.12988584640178097, -0.08815196865559125, 0.08236481890301495, -0.12185459201294585, -0.16703856924251348, -0.05727684085390398, 0.29036529240112346, -0.30862089705911755, -0.2387956600839726, 0.06977007613309949, -0.28712471426628966, -0.1771597290302024, 0.2175935817365887, -0.019187325118657422, 0.043144986632147005, -0.04640250025755342, 0.04418339197398672, -0.04954109458006261, -0.2481369707545563, 0.36582140633132026, -0.01043002715357775, 0.24429587023567503, 0.015548225124405712, 0.1519804527873502, -0.025547916676160416, -0.010537940734887825, 0.07553019528785924, -0.10775945950695705, 0.07835420510563373, 0.24935027429474002, 0.07747611272375748, 0.23382287474051744, -0.46818222365334256, -0.23435538557960706, 0.04377709706744351, 0.09158905601997648, 0.11645036098985549, -0.045627690108195576, -0.2535147772272344, 0.04584028945938379, -0.11186933251363891, -0.18412974284680075, -0.08815469704724911, 0.05194144170563042, 0.06609253329762939, -0.2398408140376711, 0.062387138204022995, 0.11026894876991689, 0.03169176974842528, -0.11413764951656721, -0.09432009062064546, -0.005645875079447732, 0.07012062606660008, 0.07259043642053646, -0.03330868844944639, 0.11534370070699007, -0.16706964532314494, -0.06789155384650876, 0.4449230449649842, -0.010558382571310964, -0.2656538463158517, 0.11105258132824126, -0.12176312539851715, -0.10940413173687245, 0.08912906998146262, 0.15078438350445583, 0.10963148599180653, -0.19750283172886288, 0.15274450490388142, -0.053835550835747426, 0.10026855265111231, 0.05124258159800675, 0.006494753481918054, 0.18394893018074898, 0.06456052019072994, -0.008568558339107813, 0.10166847878409659, 0.00031490438664723346, -0.16420798030674083, -0.3876343645750224, -0.17107320005590676, -0.13208126103771584, 0.07851894496560503, -0.09428661525178067, -0.16495343288328468, 0.3531246708623846, 0.12464996044741192, 0.09227673554432993, 0.02356729136012933, 0.25020694470878285, 0.20929207500978178, 0.05460085734498037, 0.0672750774567493, 0.30615428260707556, 0.2194689972279202, 0.11926094761720914, -0.19666164482458487, -1.4110683549602492e-05, 0.09344742471986145] |
708.4195 | Amenability of ultraproducts of Banach algebras | We study when certain properties of Banach algebras are stable under
ultrapower constructions. In particular, we consider when every ultrapower of
$\mc A$ is Arens regular, and give some evidence that this is if and only if
$\mc A$ is isomorphic to a closed subalgebra of operators on a super-reflexive
Banach space. We show that such ideas are closely related to whether one can
sensibly define an ultrapower of a dual Banach algebra. We study how tensor
products of ultrapowers behave, and apply this to study the question of when
every ultrapower of $\mc A$ is amenable. We provide an abstract
characterisation in terms of something like an approximate diagonal, and
consider when every ultrapower of a C$^*$-algebra, or a group $L^1$-convolution
algebra, is amenable.
| math.FA | we study when certain properties of banach algebras are stable under ultrapower constructions in particular we consider when every ultrapower of mc a is arens regular and give some evidence that this is if and only if mc a is isomorphic to a closed subalgebra of operators on a superreflexive banach space we show that such ideas are closely related to whether one can sensibly define an ultrapower of a dual banach algebra we study how tensor products of ultrapowers behave and apply this to study the question of when every ultrapower of mc a is amenable we provide an abstract characterisation in terms of something like an approximate diagonal and consider when every ultrapower of a calgebra or a group l1convolution algebra is amenable | [['we', 'study', 'when', 'certain', 'properties', 'of', 'banach', 'algebras', 'are', 'stable', 'under', 'ultrapower', 'constructions', 'in', 'particular', 'we', 'consider', 'when', 'every', 'ultrapower', 'of', 'mc', 'a', 'is', 'arens', 'regular', 'and', 'give', 'some', 'evidence', 'that', 'this', 'is', 'if', 'and', 'only', 'if', 'mc', 'a', 'is', 'isomorphic', 'to', 'a', 'closed', 'subalgebra', 'of', 'operators', 'on', 'a', 'superreflexive', 'banach', 'space', 'we', 'show', 'that', 'such', 'ideas', 'are', 'closely', 'related', 'to', 'whether', 'one', 'can', 'sensibly', 'define', 'an', 'ultrapower', 'of', 'a', 'dual', 'banach', 'algebra', 'we', 'study', 'how', 'tensor', 'products', 'of', 'ultrapowers', 'behave', 'and', 'apply', 'this', 'to', 'study', 'the', 'question', 'of', 'when', 'every', 'ultrapower', 'of', 'mc', 'a', 'is', 'amenable', 'we', 'provide', 'an', 'abstract', 'characterisation', 'in', 'terms', 'of', 'something', 'like', 'an', 'approximate', 'diagonal', 'and', 'consider', 'when', 'every', 'ultrapower', 'of', 'a', 'calgebra', 'or', 'a', 'group', 'l1convolution', 'algebra', 'is', 'amenable']] | [-0.11002900132969502, 0.1423946091779198, -0.10631103252308094, 0.10972102699968438, -0.12536612643687536, -0.11307236334429152, -0.015926974660326398, 0.40545888350255066, -0.36030101580094664, -0.12423521827440709, 0.18861539734737767, -0.2542876649249886, -0.1706504928410023, 0.19534718200767173, -0.15947554746056877, -0.0685078976675868, 0.11745423608790001, 0.1496743844324937, -0.13280878657279838, -0.24530243889744124, 0.41410347463322744, -0.020161154449001076, 0.17625025238451217, 0.04419115964358958, 0.08966605519996054, 0.015739254495729844, 0.021290193003932794, 0.04412298557332589, -0.17463100431620748, 0.08342567157571114, 0.27296784102556204, 0.15684563623020245, 0.3130796943845663, -0.3836674621976976, -0.08969962665615903, 0.20871609261619947, 0.12196187777261648, -0.012219041623475571, -0.03879425978201682, -0.24584828845916257, 0.11440261742175226, -0.2192838684385342, -0.10476911178932735, -0.1313858702656768, 0.06768383462763121, -0.03234996050108044, -0.30447468003858963, -0.03373346092074268, 0.1569541393809261, 0.07237550218199049, -0.07847448996448468, -0.04727347831489639, -0.025659884431309277, 0.05898183330634398, -0.03828229550122013, 0.04490472278520165, 0.11884019726506179, -0.0483426634605313, -0.14809252669463954, 0.3994535801541661, -0.01904181270830093, -0.24645948913248797, 0.16946509237130802, -0.18957243227369844, -0.19934459594679216, 0.0465036476699395, 0.06569063630435736, 0.13279251013168944, -0.06931843266741658, 0.2227805695072147, -0.18133856830066972, 0.13344013304900257, 0.022094621863817016, 0.04914864193227503, 0.11327453315888922, 0.12693859638849034, 0.11702968355459761, 0.1902501070421309, 0.11472175195400093, -0.0036940586813274893, -0.3252321900874977, -0.2149277103373841, -0.10407476132029607, 0.15901112934995082, -0.08688156918815954, -0.21306636130377168, 0.3411514196327076, 0.14950411877549824, 0.18380606912814396, 0.0663184839105534, 0.22408888498584048, 0.09178310737103945, 0.05328543840967599, 0.08710112729890933, 0.15095768019020925, 0.20526767778961408, -0.05254228082260177, -0.1097606839349253, -0.0035780214614445165, 0.18772293111279367] |
708.4196 | A universal constraint between charge and rotation rate for degenerate
black holes surrounded by matter | We consider stationary, axially and equatorially symmetric systems consisting
of a central rotating and charged degenerate black hole and surrounding matter.
We show that $a^2+Q^2=M^2$ always holds provided that a continuous sequence of
spacetimes can be identified, leading from the Kerr-Newman solution in
electrovacuum to the solution in question. The quantity $a=J/M$ is the black
hole's intrinsic angular momentum per unit mass, $Q$ its electric charge and
$M$ the well known black hole mass parameter introduced by Christodoulou and
Ruffini.
| gr-qc | we consider stationary axially and equatorially symmetric systems consisting of a central rotating and charged degenerate black hole and surrounding matter we show that a2q2m2 always holds provided that a continuous sequence of spacetimes can be identified leading from the kerrnewman solution in electrovacuum to the solution in question the quantity ajm is the black holes intrinsic angular momentum per unit mass q its electric charge and m the well known black hole mass parameter introduced by christodoulou and ruffini | [['we', 'consider', 'stationary', 'axially', 'and', 'equatorially', 'symmetric', 'systems', 'consisting', 'of', 'a', 'central', 'rotating', 'and', 'charged', 'degenerate', 'black', 'hole', 'and', 'surrounding', 'matter', 'we', 'show', 'that', 'a2q2m2', 'always', 'holds', 'provided', 'that', 'a', 'continuous', 'sequence', 'of', 'spacetimes', 'can', 'be', 'identified', 'leading', 'from', 'the', 'kerrnewman', 'solution', 'in', 'electrovacuum', 'to', 'the', 'solution', 'in', 'question', 'the', 'quantity', 'ajm', 'is', 'the', 'black', 'holes', 'intrinsic', 'angular', 'momentum', 'per', 'unit', 'mass', 'q', 'its', 'electric', 'charge', 'and', 'm', 'the', 'well', 'known', 'black', 'hole', 'mass', 'parameter', 'introduced', 'by', 'christodoulou', 'and', 'ruffini']] | [-0.18597015252490115, 0.12029445862185352, -0.006084352466454611, 0.10931589475190386, -0.03804724846223864, -0.14834332342931553, -0.004661412908153349, 0.29902210643019855, -0.17715694692834646, -0.29814028354285027, 0.07791499745195048, -0.31604663857930826, -0.058162513177228876, 0.1594478207127533, -0.07805301257279477, 0.047439074303654225, -0.021257853064733215, 0.04751466537672508, -0.0742400512865544, -0.1777472857981213, 0.38816111605567266, 0.052288017903242404, 0.1993102095225425, -0.009914935206923681, 0.12752849055760646, 0.02099514335889039, 0.03226651771353629, 0.06385842386538847, -0.15518097489386284, 0.021696478503467398, 0.17679862292554183, 0.11458094117432079, 0.1993904384501467, -0.36643544384101523, -0.1806131362136972, 0.10033850824678482, 0.17976733475121892, 0.13542567716935014, -0.17482929729894864, -0.26182934430816884, 0.07618539177081725, -0.25141375917864706, -0.21875527954389212, -0.0410441864588404, 0.10382605613433296, 0.023641325931265195, -0.25830209492764705, 0.16319115996313624, 0.13001304460671742, -0.1381421112396483, -0.16685549951529813, -0.05502073374824434, -0.11916610983176794, 0.06323423409905238, 0.13634614579974896, 0.06852652012853871, 0.18368277846116432, -0.0695562732252705, -0.09109991290193947, 0.339226470600012, -0.041777819188759675, -0.2591255569146781, 0.13311210925443262, -0.2834240753804864, -0.05037486596221599, 0.11018322071036961, 0.15353140089943818, 0.23790739132371388, -0.1297973829997214, 0.1492609638754644, -0.05917947037923563, 0.1815195690318824, 0.14314149633710144, 0.052712647164759194, 0.40468020579200004, 0.09546297978421178, 0.01812983564796704, 0.1590952347312712, -0.04352334507776401, -0.0990210152135372, -0.2465002715139638, -0.1574155808178873, -0.18036195275055456, 0.14863350775234307, -0.12642145382525558, -0.15834501055599767, 0.30890750545489637, 0.038181712391161464, 0.1735194492731479, -0.035431784120848096, 0.23528688554778213, 0.07704984321247173, 0.010210039547962856, 0.17495388023207506, 0.2962674599264666, 0.1660484361633234, 0.15139124088602351, -0.2199833563475905, -0.08285681198975897, 0.1020588219059702] |
708.4197 | Optimal transport of ultracold atoms in the non-adiabatic regime | We report the transport of ultracold atoms with optical tweezers in the
non-adiabatic regime, i.e. on a time scale on the order of the oscillation
period. We have found a set of discrete transport durations for which the
transport is not accompanied by any excitation of the centre of mass of the
cloud. We show that the residual amplitude of oscillation of the dipole mode is
given by the Fourier transform of the velocity profile imposed to the trap for
the transport. This formalism leads to a simple interpretation of our data and
simple methods for optimizing trapped particles displacement in the
non-adiabatic regime.
| cond-mat.other | we report the transport of ultracold atoms with optical tweezers in the nonadiabatic regime ie on a time scale on the order of the oscillation period we have found a set of discrete transport durations for which the transport is not accompanied by any excitation of the centre of mass of the cloud we show that the residual amplitude of oscillation of the dipole mode is given by the fourier transform of the velocity profile imposed to the trap for the transport this formalism leads to a simple interpretation of our data and simple methods for optimizing trapped particles displacement in the nonadiabatic regime | [['we', 'report', 'the', 'transport', 'of', 'ultracold', 'atoms', 'with', 'optical', 'tweezers', 'in', 'the', 'nonadiabatic', 'regime', 'ie', 'on', 'a', 'time', 'scale', 'on', 'the', 'order', 'of', 'the', 'oscillation', 'period', 'we', 'have', 'found', 'a', 'set', 'of', 'discrete', 'transport', 'durations', 'for', 'which', 'the', 'transport', 'is', 'not', 'accompanied', 'by', 'any', 'excitation', 'of', 'the', 'centre', 'of', 'mass', 'of', 'the', 'cloud', 'we', 'show', 'that', 'the', 'residual', 'amplitude', 'of', 'oscillation', 'of', 'the', 'dipole', 'mode', 'is', 'given', 'by', 'the', 'fourier', 'transform', 'of', 'the', 'velocity', 'profile', 'imposed', 'to', 'the', 'trap', 'for', 'the', 'transport', 'this', 'formalism', 'leads', 'to', 'a', 'simple', 'interpretation', 'of', 'our', 'data', 'and', 'simple', 'methods', 'for', 'optimizing', 'trapped', 'particles', 'displacement', 'in', 'the', 'nonadiabatic', 'regime']] | [-0.15946650261489245, 0.17995403394497073, -0.10108481642181197, -0.008702970059507957, -0.004789634643552395, -0.07811425883063258, 0.0713505331894759, 0.36454072139727384, -0.2745417869793108, -0.2693208210758502, 0.060448119163853474, -0.23031831462867558, -0.08005637662986723, 0.2372982901915048, -0.0011002181653076639, 0.06026301250004998, 0.05293954125730894, 0.03564345886339792, -0.03554513930150559, -0.18748163095173928, 0.2999478064504309, 0.06814262557935973, 0.28054642524176204, 0.05025931101184911, 0.10340493810564602, 0.01173396809743001, 0.0012045772866538474, -0.01596376235381915, -0.13064723620629173, 0.12390553034268893, 0.14879558916884258, 0.030365833493236166, 0.21387782956186968, -0.45573038443063313, -0.22366487745267266, 0.08874514855695172, 0.1654725982897127, 0.15377659623202186, -0.057722066598496616, -0.2542491846789534, -0.020745598630478177, -0.1310551650553512, -0.1381090929454121, -0.0840095829200716, 0.0480661145500982, 0.05359902943914326, -0.27621488345231715, 0.12423393820734838, 0.04599065374797927, 0.07322222500358923, -0.07486252219398291, -0.04816091975841958, -0.0017766116249661606, 0.06950277723192883, 0.02687728715850076, 0.010566333362546105, 0.1532385334587441, -0.12187702967024122, -0.07119554352874939, 0.40762499103752464, -0.09380052645820587, -0.14396956836124167, 0.1570757600532558, -0.19518674325305396, -0.06347731662166413, 0.13728535590836635, 0.16235175527309856, 0.10072700998548847, -0.12341683309596892, 0.051306487078433674, -0.0320808013381723, 0.15943250085491364, 0.06411239513769172, 0.042673009497006066, 0.23333551535884348, 0.17912324682737774, 0.05128814127797691, 0.1187082182821961, -0.18030647303161318, -0.06428234876455882, -0.30929586101466644, -0.12584955234038156, -0.2107576270363307, 0.024178571392510024, -0.04005723244210038, -0.16399063985758963, 0.4448442937483868, 0.12658835124546805, 0.2035094732329106, 0.038438336468131565, 0.29106930383624363, 0.19074246773617723, 0.07677407214788008, 0.05974330720849908, 0.2808400275937926, 0.1283113924258102, 0.11405084681553909, -0.3369109377784368, 0.016442570754756723, 0.04215756991358761] |
708.4198 | Tracing the early development of harmful algal blooms with the aid of
Lagrangian coherent structures | Several theories have been proposed to explain the development of harmful
algal blooms (HABs) produced by the toxic dinoflagellate \emph{Karenia brevis}
on the West Florida Shelf. However, because the early stages of HAB development
are usually not detected, these theories have been so far very difficult to
verify. In this paper we employ simulated \emph{Lagrangian coherent structures}
(LCSs) to trace the early location of a HAB in late 2004 before it was
transported to an area where it could be detected by satellite imagery, and
then we make use of a population dynamics model to infer the factors that may
have led to its development. The LCSs, which are computed based on a surface
flow description provided by an ocean circulation model, delineate past and
future histories of boundaries of passively advected fluid domains. The
population dynamics model determines nitrogen in two components, nutrients and
phytoplankton, which are assumed to be passively advected by the simulated
surface currents. Two nearshore nutrient sources are identified for the HAB
whose evolution is found to be strongly tied to the simulated LCSs. While one
nutrient source can be associated with a coastal upwelling event, the other is
seen to be produced by river runoff, which provides support to a theory of HAB
development that considers nutrient loading into coastal waters produced by
human activities as a critical element. Our results show that the use of
simulated LCSs and a population dynamics model can greatly enhance our
understanding of the early stages of the development of HABs.
| physics.ao-ph physics.flu-dyn | several theories have been proposed to explain the development of harmful algal blooms habs produced by the toxic dinoflagellate emphkarenia brevis on the west florida shelf however because the early stages of hab development are usually not detected these theories have been so far very difficult to verify in this paper we employ simulated emphlagrangian coherent structures lcss to trace the early location of a hab in late 2004 before it was transported to an area where it could be detected by satellite imagery and then we make use of a population dynamics model to infer the factors that may have led to its development the lcss which are computed based on a surface flow description provided by an ocean circulation model delineate past and future histories of boundaries of passively advected fluid domains the population dynamics model determines nitrogen in two components nutrients and phytoplankton which are assumed to be passively advected by the simulated surface currents two nearshore nutrient sources are identified for the hab whose evolution is found to be strongly tied to the simulated lcss while one nutrient source can be associated with a coastal upwelling event the other is seen to be produced by river runoff which provides support to a theory of hab development that considers nutrient loading into coastal waters produced by human activities as a critical element our results show that the use of simulated lcss and a population dynamics model can greatly enhance our understanding of the early stages of the development of habs | [['several', 'theories', 'have', 'been', 'proposed', 'to', 'explain', 'the', 'development', 'of', 'harmful', 'algal', 'blooms', 'habs', 'produced', 'by', 'the', 'toxic', 'dinoflagellate', 'emphkarenia', 'brevis', 'on', 'the', 'west', 'florida', 'shelf', 'however', 'because', 'the', 'early', 'stages', 'of', 'hab', 'development', 'are', 'usually', 'not', 'detected', 'these', 'theories', 'have', 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0.10872594551763022, -0.20651694305098978, 0.13678192646321224, 0.03185377590803347] |
708.4199 | Planetary Nebulae Principles & Paradigms: Binaries, Accretion, Magnetic
Fields | Observations suggest that many, if not all, post AGB systems evolve through
an aspherical outflow phase. Such outflows require a sufficient engine
rotational energy which binaries can provide. Via common envelope evolution,
binaries can directly eject equatorial outflows or produce poloidal outflows
from magnetized accretion disks around the primary or secondary. We discuss how
accretion driven magnetohydrodynamic outflow models all make similar
predictions for the outflow power and speed and we distinguish between the
launch vs. propagation regimes of such outflows. We suggest that the high
velocity bipolar outflows observed in planetary nebulae (PNe) and the lower
velocity but higher power bipolar outflows observed in pre-PNe (pPNe) are
kinematically consistent with time dependent accretion onto a white dwarf (WD)
within a depleting envelope. Since the WD primary core is always present in all
post-AGB systems, accretion onto this core is potentially common. Previous work
has focused on core accretion from sub-stellar companions, but low mass stellar
companions may be more important, and further work is needed.
| astro-ph | observations suggest that many if not all post agb systems evolve through an aspherical outflow phase such outflows require a sufficient engine rotational energy which binaries can provide via common envelope evolution binaries can directly eject equatorial outflows or produce poloidal outflows from magnetized accretion disks around the primary or secondary we discuss how accretion driven magnetohydrodynamic outflow models all make similar predictions for the outflow power and speed and we distinguish between the launch vs propagation regimes of such outflows we suggest that the high velocity bipolar outflows observed in planetary nebulae pne and the lower velocity but higher power bipolar outflows observed in prepne ppne are kinematically consistent with time dependent accretion onto a white dwarf wd within a depleting envelope since the wd primary core is always present in all postagb systems accretion onto this core is potentially common previous work has focused on core accretion from substellar companions but low mass stellar companions may be more important and further work is needed | [['observations', 'suggest', 'that', 'many', 'if', 'not', 'all', 'post', 'agb', 'systems', 'evolve', 'through', 'an', 'aspherical', 'outflow', 'phase', 'such', 'outflows', 'require', 'a', 'sufficient', 'engine', 'rotational', 'energy', 'which', 'binaries', 'can', 'provide', 'via', 'common', 'envelope', 'evolution', 'binaries', 'can', 'directly', 'eject', 'equatorial', 'outflows', 'or', 'produce', 'poloidal', 'outflows', 'from', 'magnetized', 'accretion', 'disks', 'around', 'the', 'primary', 'or', 'secondary', 'we', 'discuss', 'how', 'accretion', 'driven', 'magnetohydrodynamic', 'outflow', 'models', 'all', 'make', 'similar', 'predictions', 'for', 'the', 'outflow', 'power', 'and', 'speed', 'and', 'we', 'distinguish', 'between', 'the', 'launch', 'vs', 'propagation', 'regimes', 'of', 'such', 'outflows', 'we', 'suggest', 'that', 'the', 'high', 'velocity', 'bipolar', 'outflows', 'observed', 'in', 'planetary', 'nebulae', 'pne', 'and', 'the', 'lower', 'velocity', 'but', 'higher', 'power', 'bipolar', 'outflows', 'observed', 'in', 'prepne', 'ppne', 'are', 'kinematically', 'consistent', 'with', 'time', 'dependent', 'accretion', 'onto', 'a', 'white', 'dwarf', 'wd', 'within', 'a', 'depleting', 'envelope', 'since', 'the', 'wd', 'primary', 'core', 'is', 'always', 'present', 'in', 'all', 'postagb', 'systems', 'accretion', 'onto', 'this', 'core', 'is', 'potentially', 'common', 'previous', 'work', 'has', 'focused', 'on', 'core', 'accretion', 'from', 'substellar', 'companions', 'but', 'low', 'mass', 'stellar', 'companions', 'may', 'be', 'more', 'important', 'and', 'further', 'work', 'is', 'needed']] | [-0.09965478767941044, 0.16182958303625675, -0.03335689217222473, 0.11224844547813331, -0.1749404212670311, -0.11660686671363571, 0.005645493063682982, 0.4463400859778455, -0.17096984702588833, -0.30260727745312527, 0.0619673305352398, -0.22705956197803817, -0.016775957499462438, 0.23849989555731235, -0.063325279741548, -0.041196356325533735, 0.13653431880478578, -0.1371066544882754, -0.05073208937488766, -0.21582958146548234, 0.3422356375033058, 0.07404504581747284, 0.05895542636154646, -0.04553616804727185, 0.05177547570508386, -0.18673359168306308, -0.015284130147781717, -0.06963485799146345, -0.15259352527709233, -0.011567270565576044, 0.2516453225197909, 0.16541087589540845, 0.211319075167987, -0.4260267603073651, -0.2812612385135593, 0.03436999701255237, 0.2755411852190428, 0.03042216432569773, -0.09668635179371789, -0.18399365021039293, 0.0639127207862449, -0.27477905505718325, -0.14005792351630347, 0.030593954953813857, 0.04545045073189021, 0.07538677652924691, -0.2377406341186444, 0.11607221450589328, 0.11406598648292024, 0.06847493830193059, -0.12154730031244367, -0.06112046356885189, -0.13086005958380648, 0.05045739688780103, 0.06414277757186981, 0.08220345136872212, 0.23599065932815513, -0.12290439559623643, -0.01194371067335358, 0.427997952537872, -0.04323181904381119, -0.04330102032603113, 0.3046047368636691, -0.24476765528519734, -0.15641420449870808, 0.2012143012764583, 0.1934443281133132, 0.15430943308824516, -0.1316207887735274, -0.10526259156509936, -0.009441854335446224, 0.20223759225406965, 0.044832455135982885, 0.04632708332950182, 0.45919772762951094, 0.0784951732479911, 0.02860854970640503, 0.09166495017959815, -0.19206807159128633, -0.07226603544991833, -0.1899661448032382, -0.09861197728237295, -0.10000507442872544, 0.1141690576312459, -0.11421215785590158, -0.10016459176816181, 0.266139499254031, 0.12302051558571654, 0.2058734077713396, -0.03765785011830347, 0.34394399891326943, 0.08893971389029119, 0.07731262769224684, 0.2606852982355933, 0.3487910204174289, 0.18600799940899576, 0.13013872430598117, -0.24175348162303217, 0.1549425084306578, 0.004107791375711067] |
708.42 | Braided-Lie bialgebras associated to Kac-Moody algebras | Braided-Lie bialgebras have been introduced by Majid, as the Lie versions of
Hopf algebras in braided categories. In this paper we extend previous work of
Majid and of ours to show that there is a braided-Lie bialgebra associated to
each inclusion of Kac-Moody bialgebras. Doing so, we obtain many new examples
of infinite-dimensional braided-Lie bialgebras. We analyze further the case of
untwisted affine Kac-Moody bialgebras associated to finite-dimensional simple
Lie algebras. The inclusion we study is that of the finite-type algebra in the
affine algebra. This braided-Lie bialgebra is isomorphic to the current algebra
over the simple Lie algebra, now equipped with a braided cobracket. We give
explicit expressions for this braided cobracket for the simple Lie algebra
$sl_3$.
| math.QA | braidedlie bialgebras have been introduced by majid as the lie versions of hopf algebras in braided categories in this paper we extend previous work of majid and of ours to show that there is a braidedlie bialgebra associated to each inclusion of kacmoody bialgebras doing so we obtain many new examples of infinitedimensional braidedlie bialgebras we analyze further the case of untwisted affine kacmoody bialgebras associated to finitedimensional simple lie algebras the inclusion we study is that of the finitetype algebra in the affine algebra this braidedlie bialgebra is isomorphic to the current algebra over the simple lie algebra now equipped with a braided cobracket we give explicit expressions for this braided cobracket for the simple lie algebra sl_3 | [['braidedlie', 'bialgebras', 'have', 'been', 'introduced', 'by', 'majid', 'as', 'the', 'lie', 'versions', 'of', 'hopf', 'algebras', 'in', 'braided', 'categories', 'in', 'this', 'paper', 'we', 'extend', 'previous', 'work', 'of', 'majid', 'and', 'of', 'ours', 'to', 'show', 'that', 'there', 'is', 'a', 'braidedlie', 'bialgebra', 'associated', 'to', 'each', 'inclusion', 'of', 'kacmoody', 'bialgebras', 'doing', 'so', 'we', 'obtain', 'many', 'new', 'examples', 'of', 'infinitedimensional', 'braidedlie', 'bialgebras', 'we', 'analyze', 'further', 'the', 'case', 'of', 'untwisted', 'affine', 'kacmoody', 'bialgebras', 'associated', 'to', 'finitedimensional', 'simple', 'lie', 'algebras', 'the', 'inclusion', 'we', 'study', 'is', 'that', 'of', 'the', 'finitetype', 'algebra', 'in', 'the', 'affine', 'algebra', 'this', 'braidedlie', 'bialgebra', 'is', 'isomorphic', 'to', 'the', 'current', 'algebra', 'over', 'the', 'simple', 'lie', 'algebra', 'now', 'equipped', 'with', 'a', 'braided', 'cobracket', 'we', 'give', 'explicit', 'expressions', 'for', 'this', 'braided', 'cobracket', 'for', 'the', 'simple', 'lie', 'algebra', 'sl_3']] | [-0.17916876036172905, 0.02028852077435796, -0.007435719418034208, 0.08563271477796967, -0.2528636567764172, -0.15900658190782582, -0.05189232363760816, 0.4286222006468212, -0.3965801626968221, -0.15378203503630994, 0.11335645791460142, -0.16311543178548957, -0.2060075370172242, 0.1818795159787816, -0.23986532088337825, -0.11309878003760045, 0.08957201920199294, 0.15712320615592248, -0.13824492072326547, -0.28001316037310775, 0.4635811260267466, 0.015725766715570157, 0.21149895142200364, -0.02767850088049509, 0.1499399370181241, 0.0034605181001189375, -0.022500762348102422, -0.01935308098307803, -0.2104113749391057, 0.0859083643637034, 0.38545432357321013, 0.007313882922284117, 0.16296112622005254, -0.35607380574929115, -0.03248102633877337, 0.16501035496686436, 0.19312789182505422, 0.04583643350804992, -0.03053163383312586, -0.3197855935490714, 0.06170646293761851, -0.3413983947370483, -0.08137234551205981, -0.09127757999607745, 0.10059369909537941, -0.06215276674586622, -0.18146083731411666, 0.00821936591880537, 0.1125850784709724, 0.1504104085689207, -0.12568909383746757, -0.08541273882909983, -0.09798690095590819, 0.057280467369225846, -0.13884105286247903, 0.01861317757665798, 0.13380726509797974, -0.056544326620466004, -0.255568753630549, 0.3263194918429025, 0.04625508254159148, -0.23395387166250153, 0.11790235587023981, -0.18774180008223704, -0.2562667450969334, 0.075530689710579, 0.004308792285057677, 0.080334729773282, -0.08247489340509437, 0.24161549472052432, -0.17329596250685825, -0.11169435103823032, 0.09454537569662604, -0.027139395005813166, 0.09095418204342116, 0.11920316772488486, 0.024033856583551793, 0.16558906643753166, 0.11438830391241692, -0.0238252960521133, -0.3837655658575417, -0.205710822184171, 0.0211288680932915, 0.16022548224667416, -0.05769249260757694, -0.17410002054036164, 0.4083687391664301, 0.20450756284838714, 0.1428156003332501, 0.1470242390573463, 0.15929904537267608, 0.08300806928578638, 0.20249125042131969, 0.03607284005715692, 0.14789917754760684, 0.3742256792626117, -0.012950684238389572, -0.0609268921372645, -0.13896451098453097, 0.24877142260915466] |
708.4201 | A sticky business: the status of the conjectured viscosity/entropy
density bound | There have been a number of forms of a conjecture that there is a universal
lower bound on the ratio, eta/s, of the shear viscosity, eta, to entropy
density, s, with several different domains of validity. We examine the various
forms of the conjecture. We argue that a number of variants of the conjecture
are not viable due to the existence of theoretically consistent
counterexamples. We also note that much of the evidence in favor of a bound
does not apply to the variants which have not yet been ruled out.
| hep-th cond-mat.stat-mech hep-ph nucl-th physics.flu-dyn | there have been a number of forms of a conjecture that there is a universal lower bound on the ratio etas of the shear viscosity eta to entropy density s with several different domains of validity we examine the various forms of the conjecture we argue that a number of variants of the conjecture are not viable due to the existence of theoretically consistent counterexamples we also note that much of the evidence in favor of a bound does not apply to the variants which have not yet been ruled out | [['there', 'have', 'been', 'a', 'number', 'of', 'forms', 'of', 'a', 'conjecture', 'that', 'there', 'is', 'a', 'universal', 'lower', 'bound', 'on', 'the', 'ratio', 'etas', 'of', 'the', 'shear', 'viscosity', 'eta', 'to', 'entropy', 'density', 's', 'with', 'several', 'different', 'domains', 'of', 'validity', 'we', 'examine', 'the', 'various', 'forms', 'of', 'the', 'conjecture', 'we', 'argue', 'that', 'a', 'number', 'of', 'variants', 'of', 'the', 'conjecture', 'are', 'not', 'viable', 'due', 'to', 'the', 'existence', 'of', 'theoretically', 'consistent', 'counterexamples', 'we', 'also', 'note', 'that', 'much', 'of', 'the', 'evidence', 'in', 'favor', 'of', 'a', 'bound', 'does', 'not', 'apply', 'to', 'the', 'variants', 'which', 'have', 'not', 'yet', 'been', 'ruled', 'out']] | [-0.16592476238716639, 0.11021778642987975, -0.15198628872551107, 0.08206234783942269, -0.05099299466135083, -0.11535849741015297, 0.06605944907354129, 0.31206182624817225, -0.19980191487491458, -0.2771608351197626, 0.09451771724923094, -0.23619425536522254, -0.1433010857352721, 0.2228617649883605, -0.05004739989577742, 0.037555272619311623, 0.008948868095803145, 0.05462700550209035, -0.07224058707060477, -0.2992984600375396, 0.33184935665269805, 0.019337973813270473, 0.2632706984570557, 0.17254042381850573, 0.03898273087055473, -0.08657524241441554, 0.0176736862234935, 0.08354775022183146, -0.19880952924394987, 0.09921630869547908, 0.20564460330182216, 0.14091999005976613, 0.27632651063050706, -0.39348313337253343, -0.21649776630175227, 0.19553572895353313, 0.15230234190156416, 0.1050141953829942, -0.05737869799838166, -0.167854409654635, 0.13923205952620604, -0.18812722471225393, -0.13049768659562527, -0.09153633794982682, 0.06727796860530481, -0.007883477475043836, -0.2137778277590789, 0.1095691150867324, 0.0986061109444843, 0.03188087779946707, -0.06655518829843009, -0.12493415155376379, -0.027956329824679254, 0.04998754795415552, 0.1278608184650663, 0.008994218821708973, 0.035100421018816615, -0.13265302602283574, -0.10391360489590155, 0.3350838770946631, -0.05203592050615903, -0.2080030560053394, 0.23709669175230294, -0.1485523650970228, -0.19621987299543325, 0.11947526755118436, 0.12175631534645927, 0.13642914011399007, -0.08715726298556387, 0.08514312226939333, -0.15299616958613374, 0.18285254399281936, 0.110195203443764, 0.028055049862794498, 0.20860037442992677, 0.10822316376840348, 0.06420056454857791, 0.13099482011786856, -0.06590105248052258, -0.06721088811652837, -0.31957700235543995, -0.17268377879332586, -0.18032740602387462, 0.06446555675219125, -0.04065392530717692, -0.17607683166452162, 0.3423337210583818, 0.16695212547227248, 0.2260674289056704, 0.07946295830661657, 0.2143597687840216, 0.10420320658934312, 0.08978299349341747, 0.07993190050391215, 0.29357849180207146, 0.16004783661708563, 0.023896272115122814, -0.178822979182619, 0.1168289510840243, 0.04989637871743641] |
708.4202 | Gravitational waves from black-hole mergers | Coalescing black-hole binaries are expected to be the strongest sources of
gravitational waves for ground-based interferometers as well as the space-based
interferometer LISA. Recent progress in numerical relativity now makes it
possible to calculate the waveforms from the strong-field dynamical merger and
is revolutionizing our understanding of these systems. We review these dramatic
developments, emphasizing applications to issues in gravitational wave
observations. These new capabilities also make possible accurate calculations
of the recoil or kick imparted to the final remnant black hole when the merging
components have unequal masses, or unequal or unaligned spins. We highlight
recent work in this area, focusing on results of interest to astrophysics.
| astro-ph gr-qc | coalescing blackhole binaries are expected to be the strongest sources of gravitational waves for groundbased interferometers as well as the spacebased interferometer lisa recent progress in numerical relativity now makes it possible to calculate the waveforms from the strongfield dynamical merger and is revolutionizing our understanding of these systems we review these dramatic developments emphasizing applications to issues in gravitational wave observations these new capabilities also make possible accurate calculations of the recoil or kick imparted to the final remnant black hole when the merging components have unequal masses or unequal or unaligned spins we highlight recent work in this area focusing on results of interest to astrophysics | [['coalescing', 'blackhole', 'binaries', 'are', 'expected', 'to', 'be', 'the', 'strongest', 'sources', 'of', 'gravitational', 'waves', 'for', 'groundbased', 'interferometers', 'as', 'well', 'as', 'the', 'spacebased', 'interferometer', 'lisa', 'recent', 'progress', 'in', 'numerical', 'relativity', 'now', 'makes', 'it', 'possible', 'to', 'calculate', 'the', 'waveforms', 'from', 'the', 'strongfield', 'dynamical', 'merger', 'and', 'is', 'revolutionizing', 'our', 'understanding', 'of', 'these', 'systems', 'we', 'review', 'these', 'dramatic', 'developments', 'emphasizing', 'applications', 'to', 'issues', 'in', 'gravitational', 'wave', 'observations', 'these', 'new', 'capabilities', 'also', 'make', 'possible', 'accurate', 'calculations', 'of', 'the', 'recoil', 'or', 'kick', 'imparted', 'to', 'the', 'final', 'remnant', 'black', 'hole', 'when', 'the', 'merging', 'components', 'have', 'unequal', 'masses', 'or', 'unequal', 'or', 'unaligned', 'spins', 'we', 'highlight', 'recent', 'work', 'in', 'this', 'area', 'focusing', 'on', 'results', 'of', 'interest', 'to', 'astrophysics']] | [-0.13832516832001232, 0.12888146194853578, -0.017780116134047234, 0.1078431216991265, -0.13605734361853036, -0.07128776594052194, 0.0027880574602426756, 0.3742269832873717, -0.1714451621109792, -0.32073197446556556, 0.08937940671630376, -0.3200626579863537, -0.13401879886536067, 0.2928794337074376, -0.025772372323748034, 0.07097658186426593, 0.13598860503191612, -0.04568598950626673, -0.1150175932745225, -0.23880742109139208, 0.31794161411609684, 0.13247715351085557, 0.17402563918450917, 0.013096292632528476, 0.06672010791306901, -0.009972783603222558, -0.0772899538235463, -0.021755451223321468, -0.1376984785569625, 0.05826234892096922, 0.2902525937081211, 0.174948596451604, 0.230912685355482, -0.46354576050200397, -0.25120852671184196, 0.03573552112060564, 0.13738312794292276, 0.20912067737447582, -0.09588363364929575, -0.33807120254884165, 0.01414737111405918, -0.27138042690542835, -0.1756559941805554, -0.05243786240720914, 0.07813202083128055, 0.0759668272005877, -0.16862293574700338, 0.053342050346448865, 0.026006732614337967, -0.08733910061608993, -0.05935885593364084, -0.10782377272995224, 0.009448417369707453, 0.10983389645466728, 0.11535633656118686, 0.07905702265755583, 0.14192502708519222, -0.12407192460873544, -0.15179309238576227, 0.3987807515422227, -0.00951250141413227, -0.11367945090212205, 0.24064054405661645, -0.23644994530412886, -0.17419775829788436, 0.09269902611332428, 0.22509483965458693, 0.1325408248726658, -0.11168705599441266, -0.0060368358093977875, 0.09411593502469866, 0.16050997521745525, 0.09752290025439665, 0.12633042913296744, 0.41271121661972116, 0.15547159369991817, 0.012929068860439994, 0.06766604087897576, -0.14028393050560867, -0.07399425873235385, -0.24603685713373125, -0.07480260301734368, -0.15652932818651338, 0.09493635516197106, -0.06677861514280839, -0.11928954086195315, 0.3183585694275313, 0.18971547128684405, 0.13009918523365976, -0.01478546511390488, 0.3632057526761114, 0.052603761481198795, 0.03800514042894873, 0.015265406363781679, 0.3802314353416915, 0.15433668740162695, 0.08928824622718687, -0.19365021529719578, -0.006998300586861593, -0.01542567210358188] |
708.4203 | Phase transitions in two-dimensional model colloids in a one-dimensional
external potential | Two-dimensional melting transitions for model colloids in presence of a
one-dimensional external periodic potential are investigated using Monte Carlo
simulation and Finite Size Scaling techniques. Here we explore a hard disk
system with commensurability ratio $p=\sqrt{3}a_s/(2d)=2$, where $a_s$ is the
mean distance between the disks and $d$ the period of the external potential.
Three phases, the modulate liquid, the locked smectic and the locked floating
solid are observed, in agreement with other experimental and analytical
studies. Various statistical quantities like order parameters, their cumulants
and response functions, are used to obtain a phase diagram for the transitions
between these three phases.
| cond-mat.stat-mech | twodimensional melting transitions for model colloids in presence of a onedimensional external periodic potential are investigated using monte carlo simulation and finite size scaling techniques here we explore a hard disk system with commensurability ratio psqrt3a_s2d2 where a_s is the mean distance between the disks and d the period of the external potential three phases the modulate liquid the locked smectic and the locked floating solid are observed in agreement with other experimental and analytical studies various statistical quantities like order parameters their cumulants and response functions are used to obtain a phase diagram for the transitions between these three phases | [['twodimensional', 'melting', 'transitions', 'for', 'model', 'colloids', 'in', 'presence', 'of', 'a', 'onedimensional', 'external', 'periodic', 'potential', 'are', 'investigated', 'using', 'monte', 'carlo', 'simulation', 'and', 'finite', 'size', 'scaling', 'techniques', 'here', 'we', 'explore', 'a', 'hard', 'disk', 'system', 'with', 'commensurability', 'ratio', 'psqrt3a_s2d2', 'where', 'a_s', 'is', 'the', 'mean', 'distance', 'between', 'the', 'disks', 'and', 'd', 'the', 'period', 'of', 'the', 'external', 'potential', 'three', 'phases', 'the', 'modulate', 'liquid', 'the', 'locked', 'smectic', 'and', 'the', 'locked', 'floating', 'solid', 'are', 'observed', 'in', 'agreement', 'with', 'other', 'experimental', 'and', 'analytical', 'studies', 'various', 'statistical', 'quantities', 'like', 'order', 'parameters', 'their', 'cumulants', 'and', 'response', 'functions', 'are', 'used', 'to', 'obtain', 'a', 'phase', 'diagram', 'for', 'the', 'transitions', 'between', 'these', 'three', 'phases']] | [-0.16945802986621858, 0.22364838846959173, -0.07910154738929123, 0.04584912520484068, 0.01726671172771603, -0.13554018704686313, 0.07496702880365774, 0.40308437576517464, -0.25066528338938954, -0.32343786844052375, 0.08535074489424005, -0.3180473851971328, -0.13388343230588362, 0.16268645565724, 0.051897279924014585, 0.1020428314525634, -0.016017327448353172, -0.044861154060345146, -0.12236183661036193, -0.19023029775358735, 0.23516796376323326, -0.013943439514259809, 0.2459213749272749, 0.013578285638941453, 0.021885356018319726, -0.0213241348718293, 0.024605834873800633, 0.0221548145217821, -0.2279486668249592, 0.03564187731593847, 0.1967178192047868, -0.04043051465414464, 0.1488799366913736, -0.43739935459569096, -0.22364630831405521, 0.11219938494265079, 0.12717359484406188, 0.08108315679302905, -0.060237190928310154, -0.24028280719416217, 0.02744242228101939, -0.1742550538573414, -0.16178382137790323, -0.09936453200876713, 0.04819496822077781, 0.0874461605164106, -0.2546048578433692, 0.09668223418295384, -0.0068278300482779745, 0.10862078239675611, -0.08175810964778066, -0.12120324015966616, -0.04256531274528243, 0.15867074463050812, 0.025668438957072794, 0.03923590019810945, 0.15149591790977865, -0.10952629554085433, -0.11543029543943703, 0.3832644754368812, -0.04635682071908377, -0.1843058266863227, 0.24751250704284758, -0.17146817086759256, -0.08480273532215506, 0.1440322992997244, 0.16846638457849622, 0.0869261237536557, -0.11751334701664745, 0.03160294861707371, 0.015744738280773163, 0.19996839686034945, 0.04470060130115598, 0.010521310838448698, 0.27761966237798336, 0.15917658541351556, -0.02803928841953166, 0.18870674977137242, -0.12225846003508195, -0.16962202100083232, -0.25447759435512124, -0.1210445214342326, -0.1680376419785898, -0.03602091060485691, -0.1113497521977115, -0.18787084060255438, 0.3539633299759589, 0.14140111758140847, 0.16892964818049222, 0.015698992100078614, 0.28575060117524115, 0.09132522916421294, 0.009213753959193128, 0.021805961050558834, 0.250478496568976, 0.1530692583019845, 0.07062267571920529, -0.26553525452385657, 0.059100002341438085, 0.04380475526675582] |
708.4204 | A Search for Binary Stars at Low Metallicity | We present initial results measuring the companion fraction of metal-poor
stars ([Fe/H]$<-$2.0). We are employing the Lick Observatory planet-finding
system to make high-precision Doppler observations of these objects. The binary
fraction of metal-poor stars provides important constraints on star formation
in the early Galaxy (Carney et al. 2003). Although it has been shown that a
majority of solar metallicity stars are in binaries, it is not clear if this is
the case for metal-poor stars. Is there a metallicity floor below which binary
systems do not form or become rare? To test this we are determining binary
fractions at metallicities below [Fe/H]$=-2.0$. Our measurments are not as
precise as the planet finders', but we are still finding errors of only 50 to
300 m/s, depending on the signal-to-noise of a spectrum and stellar atmosphere
of the star. At this precision we can be much more complete than previous
studies in our search for stellar companions.
| astro-ph | we present initial results measuring the companion fraction of metalpoor stars feh20 we are employing the lick observatory planetfinding system to make highprecision doppler observations of these objects the binary fraction of metalpoor stars provides important constraints on star formation in the early galaxy carney et al 2003 although it has been shown that a majority of solar metallicity stars are in binaries it is not clear if this is the case for metalpoor stars is there a metallicity floor below which binary systems do not form or become rare to test this we are determining binary fractions at metallicities below feh20 our measurments are not as precise as the planet finders but we are still finding errors of only 50 to 300 ms depending on the signaltonoise of a spectrum and stellar atmosphere of the star at this precision we can be much more complete than previous studies in our search for stellar companions | [['we', 'present', 'initial', 'results', 'measuring', 'the', 'companion', 'fraction', 'of', 'metalpoor', 'stars', 'feh20', 'we', 'are', 'employing', 'the', 'lick', 'observatory', 'planetfinding', 'system', 'to', 'make', 'highprecision', 'doppler', 'observations', 'of', 'these', 'objects', 'the', 'binary', 'fraction', 'of', 'metalpoor', 'stars', 'provides', 'important', 'constraints', 'on', 'star', 'formation', 'in', 'the', 'early', 'galaxy', 'carney', 'et', 'al', '2003', 'although', 'it', 'has', 'been', 'shown', 'that', 'a', 'majority', 'of', 'solar', 'metallicity', 'stars', 'are', 'in', 'binaries', 'it', 'is', 'not', 'clear', 'if', 'this', 'is', 'the', 'case', 'for', 'metalpoor', 'stars', 'is', 'there', 'a', 'metallicity', 'floor', 'below', 'which', 'binary', 'systems', 'do', 'not', 'form', 'or', 'become', 'rare', 'to', 'test', 'this', 'we', 'are', 'determining', 'binary', 'fractions', 'at', 'metallicities', 'below', 'feh20', 'our', 'measurments', 'are', 'not', 'as', 'precise', 'as', 'the', 'planet', 'finders', 'but', 'we', 'are', 'still', 'finding', 'errors', 'of', 'only', '50', 'to', '300', 'ms', 'depending', 'on', 'the', 'signaltonoise', 'of', 'a', 'spectrum', 'and', 'stellar', 'atmosphere', 'of', 'the', 'star', 'at', 'this', 'precision', 'we', 'can', 'be', 'much', 'more', 'complete', 'than', 'previous', 'studies', 'in', 'our', 'search', 'for', 'stellar', 'companions']] | [-0.07991990315457506, 0.15144412350510397, -0.06341420194855141, 0.10287285039742147, -0.14220829745454172, -0.05610941427669698, 0.0873525888163356, 0.4290887576437766, -0.1003816765385695, -0.3783944387950243, 0.06499187253310436, -0.30401523027328714, -0.03864355973839279, 0.2578584347092997, -0.09923226875403235, -0.0019289953025778935, 0.1580861237780482, -0.025293065128367275, -0.04834538833388398, -0.33975748614438117, 0.2775217772251175, 0.08010043730178187, 0.08356540546181702, -0.03544541652945261, 0.017203185001328107, -0.1088740978735469, -0.046342271338066746, -0.021902304857728944, -0.153040169898445, -0.0015235808809408017, 0.27207096686057236, 0.1781735243200655, 0.21434738703312411, -0.2988598016120734, -0.19777108891416462, 0.09217508564432783, 0.20068098946264193, 0.09542249556435572, -0.10363901188463769, -0.2368832210897498, 0.12944354427257374, -0.17303386618413272, -0.12865130025593022, 0.015168624713776573, 0.05310604923494881, 0.01254710837477638, -0.25490449358138345, 0.11591259913759366, 0.06472262158509223, 0.1186898053803992, -0.08325881936095444, -0.166647457342685, -0.038039214299210616, 0.10041551053854486, -0.018762888607659168, 0.052710111415193925, 0.1247930803786843, -0.09959657300383815, 0.021425794122079688, 0.4303171421491331, -0.06717707654733526, -0.04582538445209784, 0.25940509100008996, -0.22998935348324237, -0.21688341125545482, 0.08824859875284376, 0.17136302630627348, 0.17231695778187245, -0.18053000539901756, -0.012551729805061534, -0.03768112767607935, 0.23957035570375382, 0.06928761900973417, 0.057319344641854834, 0.33574541508550604, 0.14848200952363833, 0.05022301567087491, 0.018149800803662547, -0.19122968933004286, -0.047534249709813944, -0.17380768824594034, -0.1256061225678892, -0.11238804713432346, 0.07532923450541397, -0.07748496527623971, -0.13284535065289557, 0.3122839453344744, 0.14319680384510466, 0.1936712028338544, 0.04300990075158376, 0.3126117693440568, 0.12094048442649505, 0.10396619775002042, 0.10468216422314365, 0.36134995194452424, 0.16290705375553619, 0.08028942410713963, -0.20985059491208485, 0.12863978596644537, -0.0002731476970497639] |
708.4205 | Towards a Maximal Mass Model | We investigate the possibility to construct a generalization of the Standard
Model, which we call the Maximal Mass Model because it contains a limiting mass
$M$ for its fundamental constituents. The parameter $M$ is considered as a new
universal physical constant of Nature and therefore is called the fundamental
mass. It is introduced in a purely geometrical way, like the velocity of light
as a maximal velocity in the special relativity. If one chooses the Euclidean
formulation of quantum field theory, the adequate realization of the limiting
mass hypothesis is reduced to the choice of the de Sitter geometry as the
geometry of the 4-momentum space. All fields, defined in de Sitter p-space in
configurational space obey five dimensional Klein-Gordon type equation with
fundamental mass $M$ as a mass parameter. The role of dynamical field variables
is played by the Cauchy initial conditions given at $x_5 = 0$, guarantying the
locality and gauge invariance principles. The corresponding to the geometrical
requirements formulation of the theory of scalar, vector and spinor fields is
considered in some detail. On a simple example it is demonstrated that the
spontaneously symmetry breaking mechanism leads to renormalization of the
fundamental mass $M$. A new geometrical concept of the chirality of the fermion
fields is introduced. It would be responsible for new measurable effects at
high energies $E \geq M$. Interaction terms of a new type, due to the existence
of the Higgs boson are revealed. The most intriguing prediction of the new
approach is the possible existence of exotic fermions with no analogues in the
SM, which may be candidate for dark matter constituents.
| hep-ph | we investigate the possibility to construct a generalization of the standard model which we call the maximal mass model because it contains a limiting mass m for its fundamental constituents the parameter m is considered as a new universal physical constant of nature and therefore is called the fundamental mass it is introduced in a purely geometrical way like the velocity of light as a maximal velocity in the special relativity if one chooses the euclidean formulation of quantum field theory the adequate realization of the limiting mass hypothesis is reduced to the choice of the de sitter geometry as the geometry of the 4momentum space all fields defined in de sitter pspace in configurational space obey five dimensional kleingordon type equation with fundamental mass m as a mass parameter the role of dynamical field variables is played by the cauchy initial conditions given at x_5 0 guarantying the locality and gauge invariance principles the corresponding to the geometrical requirements formulation of the theory of scalar vector and spinor fields is considered in some detail on a simple example it is demonstrated that the spontaneously symmetry breaking mechanism leads to renormalization of the fundamental mass m a new geometrical concept of the chirality of the fermion fields is introduced it would be responsible for new measurable effects at high energies e geq m interaction terms of a new type due to the existence of the higgs boson are revealed the most intriguing prediction of the new approach is the possible existence of exotic fermions with no analogues in the sm which may be candidate for dark matter constituents | [['we', 'investigate', 'the', 'possibility', 'to', 'construct', 'a', 'generalization', 'of', 'the', 'standard', 'model', 'which', 'we', 'call', 'the', 'maximal', 'mass', 'model', 'because', 'it', 'contains', 'a', 'limiting', 'mass', 'm', 'for', 'its', 'fundamental', 'constituents', 'the', 'parameter', 'm', 'is', 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708.4206 | Laplacian Spectra as a Diagnostic Tool for Network Structure and
Dynamics | We examine numerically the three-way relationships among structure, Laplacian
spectra and frequency synchronization dynamics on complex networks. We study
the effects of clustering, degree distribution and a particular type of
coupling asymmetry (input normalization), all of which are known to have
effects on the synchronizability of oscillator networks. We find that these
topological factors produce marked signatures in the Laplacian eigenvalue
distribution and in the localization properties of individual eigenvectors.
Using a set of coordinates based on the Laplacian eigenvectors as a diagnostic
tool for synchronization dynamics, we find that the process of frequency
synchronization can be visualized as a series of quasi-independent transitions
involving different normal modes. Particular features of the partially
synchronized state can be understood in terms of the behavior of particular
modes or groups of modes. For example, there are important partially
synchronized states in which a set of low-lying modes remain unlocked while
those in the main spectral peak are locked. We find therefore that spectra
influence dynamics in ways that go beyond results relating a single threshold
to a single extremal eigenvalue.
| cond-mat.dis-nn | we examine numerically the threeway relationships among structure laplacian spectra and frequency synchronization dynamics on complex networks we study the effects of clustering degree distribution and a particular type of coupling asymmetry input normalization all of which are known to have effects on the synchronizability of oscillator networks we find that these topological factors produce marked signatures in the laplacian eigenvalue distribution and in the localization properties of individual eigenvectors using a set of coordinates based on the laplacian eigenvectors as a diagnostic tool for synchronization dynamics we find that the process of frequency synchronization can be visualized as a series of quasiindependent transitions involving different normal modes particular features of the partially synchronized state can be understood in terms of the behavior of particular modes or groups of modes for example there are important partially synchronized states in which a set of lowlying modes remain unlocked while those in the main spectral peak are locked we find therefore that spectra influence dynamics in ways that go beyond results relating a single threshold to a single extremal eigenvalue | [['we', 'examine', 'numerically', 'the', 'threeway', 'relationships', 'among', 'structure', 'laplacian', 'spectra', 'and', 'frequency', 'synchronization', 'dynamics', 'on', 'complex', 'networks', 'we', 'study', 'the', 'effects', 'of', 'clustering', 'degree', 'distribution', 'and', 'a', 'particular', 'type', 'of', 'coupling', 'asymmetry', 'input', 'normalization', 'all', 'of', 'which', 'are', 'known', 'to', 'have', 'effects', 'on', 'the', 'synchronizability', 'of', 'oscillator', 'networks', 'we', 'find', 'that', 'these', 'topological', 'factors', 'produce', 'marked', 'signatures', 'in', 'the', 'laplacian', 'eigenvalue', 'distribution', 'and', 'in', 'the', 'localization', 'properties', 'of', 'individual', 'eigenvectors', 'using', 'a', 'set', 'of', 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708.4207 | Continuum driven winds from super-Eddington stars. A tale of two limits | Continuum driving is an effective method to drive a strong stellar wind. It
is governed by two limits: the Eddington limit and the photon-tiring limit. A
star must exceed the effective Eddington limit for continuum driving to
overcome the stellar gravity. The photon-tiring limit places an upper limit on
the mass loss rate that can be driven to infinity, given the energy available
in the radiation field of the star. Since continuum driving does not require
the presence of metals in the stellar atmosphere it is particularly suited to
removing mass from low- and zero-metallicity stars and can play a crucial part
in their evolution. Using a porosity length formalism we compute numerical
simulations of super-Eddington, continuum driven winds to explore their
behaviour for stars both below and above the photon-tiring limit. We find that
below the photon tiring limit, continuum driving can produce a large, steady
mass loss rate at velocities on the order of the escape velocity. If the star
exceeds the photon-tiring limit, a steady solution is no longer possible. While
the effective mass loss rate is still very large, the wind velocity is much
smaller
| astro-ph | continuum driving is an effective method to drive a strong stellar wind it is governed by two limits the eddington limit and the photontiring limit a star must exceed the effective eddington limit for continuum driving to overcome the stellar gravity the photontiring limit places an upper limit on the mass loss rate that can be driven to infinity given the energy available in the radiation field of the star since continuum driving does not require the presence of metals in the stellar atmosphere it is particularly suited to removing mass from low and zerometallicity stars and can play a crucial part in their evolution using a porosity length formalism we compute numerical simulations of supereddington continuum driven winds to explore their behaviour for stars both below and above the photontiring limit we find that below the photon tiring limit continuum driving can produce a large steady mass loss rate at velocities on the order of the escape velocity if the star exceeds the photontiring limit a steady solution is no longer possible while the effective mass loss rate is still very large the wind velocity is much smaller | [['continuum', 'driving', 'is', 'an', 'effective', 'method', 'to', 'drive', 'a', 'strong', 'stellar', 'wind', 'it', 'is', 'governed', 'by', 'two', 'limits', 'the', 'eddington', 'limit', 'and', 'the', 'photontiring', 'limit', 'a', 'star', 'must', 'exceed', 'the', 'effective', 'eddington', 'limit', 'for', 'continuum', 'driving', 'to', 'overcome', 'the', 'stellar', 'gravity', 'the', 'photontiring', 'limit', 'places', 'an', 'upper', 'limit', 'on', 'the', 'mass', 'loss', 'rate', 'that', 'can', 'be', 'driven', 'to', 'infinity', 'given', 'the', 'energy', 'available', 'in', 'the', 'radiation', 'field', 'of', 'the', 'star', 'since', 'continuum', 'driving', 'does', 'not', 'require', 'the', 'presence', 'of', 'metals', 'in', 'the', 'stellar', 'atmosphere', 'it', 'is', 'particularly', 'suited', 'to', 'removing', 'mass', 'from', 'low', 'and', 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0.05484355256089537] |
708.4208 | Dyson-Index-Like Behavior of Bures Separability Functions | We conduct a study based on the Bures (minimal monotone) metric, analogous to
that recently reported for the Hilbert-Schmidt (flat or Euclidean) metric
(arXiv:0704.3723v2). Among the interesting results obtained there had been
proportionalities--in exact correspondence to the Dyson indices \beta = 1, 2, 4
of random matrix theory--between the fourth, second and first powers of the
separability functions S_{type}(\mu) for real, complex and quaternionic
qubit-qubit scenarios, Here \mu=\sqrt{\frac{\rho_{11} \rho_{44}}{\rho_{22}
\rho_{33}}}, with \rho being a 4 x 4 density matrix. Separability functions
have proved useful--in the framework of the Bloore (correlation
coefficient/off-diagonal scaling) parameterization of density matrices--for the
calculation of separability probabilities. We find--for certain, basic simple
scenarios (in which the diagonal entries of \rho are unrestricted, and one or
two off-diagonal [real, complex or quaternionic] pairs of entries are nonzero)
--that these proportionalities no longer strictly hold in the Bures case, but
do come remarkably close to holding.
| math-ph math.MP quant-ph | we conduct a study based on the bures minimal monotone metric analogous to that recently reported for the hilbertschmidt flat or euclidean metric arxiv07043723v2 among the interesting results obtained there had been proportionalitiesin exact correspondence to the dyson indices beta 1 2 4 of random matrix theorybetween the fourth second and first powers of the separability functions s_typemu for real complex and quaternionic qubitqubit scenarios here musqrtfracrho_11 rho_44rho_22 rho_33 with rho being a 4 x 4 density matrix separability functions have proved usefulin the framework of the bloore correlation coefficientoffdiagonal scaling parameterization of density matricesfor the calculation of separability probabilities we findfor certain basic simple scenarios in which the diagonal entries of rho are unrestricted and one or two offdiagonal real complex or quaternionic pairs of entries are nonzero that these proportionalities no longer strictly hold in the bures case but do come remarkably close to holding | [['we', 'conduct', 'a', 'study', 'based', 'on', 'the', 'bures', 'minimal', 'monotone', 'metric', 'analogous', 'to', 'that', 'recently', 'reported', 'for', 'the', 'hilbertschmidt', 'flat', 'or', 'euclidean', 'metric', 'arxiv07043723v2', 'among', 'the', 'interesting', 'results', 'obtained', 'there', 'had', 'been', 'proportionalitiesin', 'exact', 'correspondence', 'to', 'the', 'dyson', 'indices', 'beta', '1', '2', '4', 'of', 'random', 'matrix', 'theorybetween', 'the', 'fourth', 'second', 'and', 'first', 'powers', 'of', 'the', 'separability', 'functions', 's_typemu', 'for', 'real', 'complex', 'and', 'quaternionic', 'qubitqubit', 'scenarios', 'here', 'musqrtfracrho_11', 'rho_44rho_22', 'rho_33', 'with', 'rho', 'being', 'a', '4', 'x', '4', 'density', 'matrix', 'separability', 'functions', 'have', 'proved', 'usefulin', 'the', 'framework', 'of', 'the', 'bloore', 'correlation', 'coefficientoffdiagonal', 'scaling', 'parameterization', 'of', 'density', 'matricesfor', 'the', 'calculation', 'of', 'separability', 'probabilities', 'we', 'findfor', 'certain', 'basic', 'simple', 'scenarios', 'in', 'which', 'the', 'diagonal', 'entries', 'of', 'rho', 'are', 'unrestricted', 'and', 'one', 'or', 'two', 'offdiagonal', 'real', 'complex', 'or', 'quaternionic', 'pairs', 'of', 'entries', 'are', 'nonzero', 'that', 'these', 'proportionalities', 'no', 'longer', 'strictly', 'hold', 'in', 'the', 'bures', 'case', 'but', 'do', 'come', 'remarkably', 'close', 'to', 'holding']] | [-0.1464715660294776, 0.12110844716756013, -0.0402939231712779, 0.11610222527974823, -0.024426420886718744, -0.19711996745454133, 0.022823384126825053, 0.377590729300966, -0.19501950141096855, -0.23862213640300434, 0.08852351099477034, -0.29647322117017894, -0.1832581446251159, 0.13081440392815352, -0.0033223688446094085, 0.08875439141071435, 0.0011801832375952796, 0.10603716454203546, -0.17461985675618052, -0.26370042009809375, 0.3669432402120216, -0.030173409239042305, 0.23396586102049416, 0.03826921643607699, 0.07210878708678549, 0.01371350495083543, -0.04610946418991122, -0.00235730738984081, -0.1029741154907375, 0.10629546543902779, 0.20571307168277592, 0.12886295392327554, 0.22268796805632265, -0.38366620045454397, -0.16924162665178089, 0.20320501322620108, 0.09201311658945506, 0.021161851200171455, -0.004131146102470692, -0.28176267244037323, 0.07884350408847532, -0.16548442235556396, -0.1484379807323979, -0.08486005367819954, 0.07598421759359593, -0.009285275777631921, -0.28816653594687364, 0.10206905754502306, 0.07320156723709546, 0.03808967222588776, -0.043475140961920365, -0.17991646553940363, 0.016033855134308557, 0.11759625625266373, 0.021829383145256415, 0.017803976069252096, 0.08089418528791871, -0.061415358925795686, -0.10406863234595592, 0.3286821666058071, -0.019562704429152783, -0.25095570651664784, 0.16697245349225515, -0.20675346371207903, -0.15177949712047503, 0.0995111003395741, 0.1015316956068124, 0.11834689826419047, -0.10893434706912206, 0.11511332007255881, -0.09630025993101299, 0.13910317644697826, 0.10971693428790699, 0.0367949942838958, 0.10915856099395203, 0.029814919721960587, 0.07453148287591817, 0.10442072333662641, -0.018627366753818507, -0.1202003840683368, -0.312130904600133, -0.1630943463189038, -0.21502508960297181, 0.10514101792589156, -0.15026613997508362, -0.1929478804830693, 0.3759394164951722, 0.06113207528544386, 0.18574937755228393, 0.11067461115766969, 0.24099021165692894, 0.10126132375635478, 0.05216195526104556, 0.05767260889189631, 0.21962703707675538, 0.18636103402719115, 0.030316204981484116, -0.13717432513371633, 0.038741164096379586, 0.07034913832780626] |
708.4209 | Heat Trace Asymptotics on Noncommutative Spaces | This is a mini-review of the heat kernel expansion for generalized Laplacians
on various noncommutative spaces. Applications to the spectral action
principle, renormalization of noncommutative theories and anomalies are also
considered.
| hep-th math-ph math.MP | this is a minireview of the heat kernel expansion for generalized laplacians on various noncommutative spaces applications to the spectral action principle renormalization of noncommutative theories and anomalies are also considered | [['this', 'is', 'a', 'minireview', 'of', 'the', 'heat', 'kernel', 'expansion', 'for', 'generalized', 'laplacians', 'on', 'various', 'noncommutative', 'spaces', 'applications', 'to', 'the', 'spectral', 'action', 'principle', 'renormalization', 'of', 'noncommutative', 'theories', 'and', 'anomalies', 'are', 'also', 'considered']] | [-0.1300620612117552, 0.12268312972399496, -0.10748104237380528, 0.1562898929320997, -0.13894929562605196, -0.08149309890464909, -0.042173736766281146, 0.34305603369589777, -0.27344724091310657, -0.19334923208788818, 0.15620301261303887, -0.28004973522958254, -0.18034295725726313, 0.2209374942185898, -0.09464643760434081, 0.05993545677272543, 0.021967063117171486, 0.0770067567711756, -0.16208425942327706, -0.2469443327957584, 0.41110584073730055, 0.0448737537991556, 0.2706155392131017, 0.14789927180015272, 0.07962640882619927, -0.03416838689196494, -0.06690765396060963, 0.025167126779354388, -0.13214642347227182, 0.16895380378851005, 0.25157552128357275, 0.0244901419744917, 0.22446038033212384, -0.3535753460300545, -0.3263031972812549, 0.12337987967616608, 0.06615055677661251, 0.026871477193649736, -0.000577993078848287, -0.28786123868438507, 0.02640277449221861, -0.18907616155282145, -0.09841537032456647, -0.14696920356683194, -0.004384491953157609, -0.01611232120663889, -0.2685124907462347, 0.05919154468950095, 0.04907155797005661, 0.03754099617682157, -0.07366453892280979, -0.0677167981141998, 0.07714367439715011, 0.057032231106272625, 0.056346385612062386, -0.027013471199860497, 0.12187377958288116, -0.07659029650441822, -0.15895282227786317, 0.38203617978480553, -0.07507858266152682, -0.25646442739713576, 0.14281024882990506, -0.11747210848355485, -0.23102663732284018, 0.004268130182378715, 0.13041336612114984, 0.1899006245357375, -0.146488846880534, 0.1978731922666362, -0.028345921347218174, 0.008724569012561151, 0.09166887028503322, 0.08257642340275549, 0.1441353852710416, 0.052299099163182323, 0.05800904159344012, 0.11676942618683941, -0.0013641404033067725, -0.14496242291586955, -0.39858645657377856, -0.1846704105095517, -0.17648365267462307, 0.10818558793905522, -0.20247271086132498, -0.2312823336931967, 0.39549056945308564, 0.13761915700630314, 0.14263368886144412, 0.012789357153158034, 0.21346665197803127, 0.1701424836571659, 0.07771483736653481, 0.005131773966094179, 0.14078934935312118, 0.2574802938728563, 0.13650729244334564, -0.2251877781198991, -0.09421827270078563, 0.22715770684543155] |
708.421 | Influence of chemical pressure effects on nonlinear thermal conductivity
of intrinsically granular superconductors | Using a 2D model of capacitively coupled Josephson junction arrays (created
by a network of twin boundary dislocations with strain fields acting as an
insulating barrier between hole-rich domains in underdoped crystals), we study
the influence of chemical pressure on nonlinear thermal conductivity (NLTC) of
an intrinsically granular superconductor. Quite a substantial enhancement of
NLTC is predicted when intrinsic chemoelectric field closely matches the
externally produced thermoelectric field. The estimates of the model parameters
suggest a realistic possibility to experimentally monitor this effect in
non-stoichiometric superconductors.
| cond-mat.supr-con cond-mat.mtrl-sci | using a 2d model of capacitively coupled josephson junction arrays created by a network of twin boundary dislocations with strain fields acting as an insulating barrier between holerich domains in underdoped crystals we study the influence of chemical pressure on nonlinear thermal conductivity nltc of an intrinsically granular superconductor quite a substantial enhancement of nltc is predicted when intrinsic chemoelectric field closely matches the externally produced thermoelectric field the estimates of the model parameters suggest a realistic possibility to experimentally monitor this effect in nonstoichiometric superconductors | [['using', 'a', '2d', 'model', 'of', 'capacitively', 'coupled', 'josephson', 'junction', 'arrays', 'created', 'by', 'a', 'network', 'of', 'twin', 'boundary', 'dislocations', 'with', 'strain', 'fields', 'acting', 'as', 'an', 'insulating', 'barrier', 'between', 'holerich', 'domains', 'in', 'underdoped', 'crystals', 'we', 'study', 'the', 'influence', 'of', 'chemical', 'pressure', 'on', 'nonlinear', 'thermal', 'conductivity', 'nltc', 'of', 'an', 'intrinsically', 'granular', 'superconductor', 'quite', 'a', 'substantial', 'enhancement', 'of', 'nltc', 'is', 'predicted', 'when', 'intrinsic', 'chemoelectric', 'field', 'closely', 'matches', 'the', 'externally', 'produced', 'thermoelectric', 'field', 'the', 'estimates', 'of', 'the', 'model', 'parameters', 'suggest', 'a', 'realistic', 'possibility', 'to', 'experimentally', 'monitor', 'this', 'effect', 'in', 'nonstoichiometric', 'superconductors']] | [-0.19897551583799433, 0.19825361849472253, -0.03460210065356686, -0.009635214797636292, -0.04968288300716015, -0.15951360820467214, 0.06424153274127159, 0.3843759406829275, -0.25432325141078016, -0.3045392964169922, -0.018974079523258, -0.28898360278367635, -0.1348155427454825, 0.21859026673889484, -0.003818050206425678, 0.027873023976263286, -0.02589136831103319, -0.05563255439860275, -0.06261589289614819, -0.18912617877933635, 0.2989785797972546, 0.018210792622293335, 0.37679258027080315, 0.03932095756642071, 0.04614985841943557, -0.052123990555080664, 0.11771806378860071, 0.08509204879891218, -0.15693227473803492, 0.03812007712065635, 0.2282913143393101, -0.1618842950135649, 0.18307968095528432, -0.5149388412541025, -0.26202520254034417, 0.03250950341483196, 0.11037317447992692, 0.13511255681963572, -0.08474860326330884, -0.2865207595862897, 0.009361968506884998, -0.1349055749779365, -0.11924656629786794, -0.027937683720051884, -0.020967699489163525, 0.015525569048070585, -0.26771248097977524, 0.0913378375537514, 0.020186479270026224, 0.09835582656269691, -0.10123688948666115, -0.06408115606460474, -0.07675238971385252, 0.0006940732222661959, 0.033906580401999675, 0.0413489217774561, 0.21987839400521422, -0.184228990595165, -0.09634914795632463, 0.34324890407677516, -0.06340380788974306, -0.12544622172949366, 0.14439958264400443, -0.14613579361172147, -0.02557088719703347, 0.14075932568724614, 0.15086415877947248, 0.08052316559366433, -0.19222457550766917, 0.047118629048387685, -0.04775113973300904, 0.19476474388165915, 0.053263025672500394, 0.03423660352871002, 0.29213439620728326, 0.2654891241740166, 0.008753071976713387, 0.21692588599398732, -0.10209347783656775, 0.0008586424358009573, -0.22805566570710345, -0.15730855944959155, -0.21805693258542613, 0.05801673574760242, -0.08091639229713614, -0.26051532759903423, 0.3824531807597861, 0.18271283826689763, 0.16419967381754913, -0.11715385601687503, 0.2385033666133791, 0.10066081034103745, 0.0861778338075088, 0.009905167280258724, 0.23427209538598376, 0.20835801736586335, 0.1038362358090838, -0.31896787774131957, 0.0681736284687397, -0.010530874245317585] |
708.4211 | Global properties of indefinite metrics with parallel Weyl tensor | This is an exposition of some recent results on ECS manifolds, by which we
mean pseudo-Riemannian manifolds of dimensions greater than 3 that are neither
conformally flat nor locally symmetric, and have parallel Weyl tensor. All ECS
metrics are indefinite. We state two classification theorems, describing the
local structure of ECS manifolds, and outline an argument showing that compact
ECS manifolds exist in infinitely many dimensions greater than 4. We also
discuss some properties of compact manifolds that admit ECS metrics, and
provide a list of open questions about compact ECS manifolds.
| math.DG | this is an exposition of some recent results on ecs manifolds by which we mean pseudoriemannian manifolds of dimensions greater than 3 that are neither conformally flat nor locally symmetric and have parallel weyl tensor all ecs metrics are indefinite we state two classification theorems describing the local structure of ecs manifolds and outline an argument showing that compact ecs manifolds exist in infinitely many dimensions greater than 4 we also discuss some properties of compact manifolds that admit ecs metrics and provide a list of open questions about compact ecs manifolds | [['this', 'is', 'an', 'exposition', 'of', 'some', 'recent', 'results', 'on', 'ecs', 'manifolds', 'by', 'which', 'we', 'mean', 'pseudoriemannian', 'manifolds', 'of', 'dimensions', 'greater', 'than', '3', 'that', 'are', 'neither', 'conformally', 'flat', 'nor', 'locally', 'symmetric', 'and', 'have', 'parallel', 'weyl', 'tensor', 'all', 'ecs', 'metrics', 'are', 'indefinite', 'we', 'state', 'two', 'classification', 'theorems', 'describing', 'the', 'local', 'structure', 'of', 'ecs', 'manifolds', 'and', 'outline', 'an', 'argument', 'showing', 'that', 'compact', 'ecs', 'manifolds', 'exist', 'in', 'infinitely', 'many', 'dimensions', 'greater', 'than', '4', 'we', 'also', 'discuss', 'some', 'properties', 'of', 'compact', 'manifolds', 'that', 'admit', 'ecs', 'metrics', 'and', 'provide', 'a', 'list', 'of', 'open', 'questions', 'about', 'compact', 'ecs', 'manifolds']] | [-0.18303867377867195, 0.11904391706269488, -0.060202055357639554, 0.11768443784271569, -0.08989179407185673, -0.1845698334104584, -0.07521907731121324, 0.44470620420558943, -0.13429073713031475, -0.2663074843117299, 0.15955713369919028, -0.2668058398361925, -0.1818188084896816, 0.2442990644839997, -0.1218512883996996, -0.05009719934921874, 0.07816094283581428, 0.060822740174721134, -0.138359072797871, -0.3145064336586865, 0.5036656236195046, -0.025783134705346565, 0.21551799283580572, 0.0783704818193497, 0.1037317002470524, -0.08489321191977385, -0.022595815522515255, 0.04412873711376249, -0.13911005100303359, 0.1567654642580158, 0.23575186778021895, 0.0861992213986409, 0.20059864261724136, -0.4091531472564068, -0.2291180732654934, 0.11596580108364477, 0.14117064847327446, 0.06665524060245724, -0.04706913713522701, -0.30984325220039033, 0.11749872833530864, -0.0953245658589446, -0.21274755082002073, -0.11470733522235052, 0.053935411882222346, -0.02996051451191306, -0.11305018879647832, 0.03696706913045921, 0.16876060238523086, 0.07651791736608847, -0.14038595584545122, -0.15113303756705768, -0.014045649041097773, 0.09851845216674163, -0.004710764009201818, -0.0016958005776952791, 0.12324183249501916, -0.05521988692698474, -0.18350575552018278, 0.2842821146402022, -0.006915184817562872, -0.2924550403258763, 0.1927649356505793, -0.13239728507292253, -0.1771900315930986, 0.10934599794184222, 0.1226220924012444, 0.19279240012047408, -0.12891765418728185, 0.09924972956081468, -0.06939816202603928, 0.10622040087954425, 0.12867063632153947, 0.09011925412746875, 0.1348907153689019, 0.10135697822450944, 0.1654044225395647, 0.05029745957480096, 0.019634330915995753, -0.10024836962617448, -0.33944639385394426, -0.21792310154389427, -0.07743172690085054, 0.1786807025876086, -0.157340860808725, -0.2125996867619941, 0.36234321073709946, -0.027894172174653606, 0.15832070147924873, 0.07153648575489491, 0.18317784304204193, -0.01204649534876175, 0.03550887681574196, 0.19380086937251137, 0.2117441378757813, 0.18851117219057176, -0.010891127893599965, -0.06265641353535972, -0.06924739157978405, 0.048545754534880754] |
708.4212 | Aggregate Dynamics in an Evolutionary Network Model | We analyze a model of interacting agents (e.g. prebiotic chemical species)
which are represended by nodes of a network, whereas their interactions are
mapped onto directed links between these nodes. On a fast time scale, each
agent follows an eigendynamics based on catalytic support from other nodes,
whereas on a much slower time scale the network evolves through selection and
mutation of its nodes-agent. In the first part of the paper, we explain the
dynamics of the model by means of characteristic snapshots of the network
evolution and confirm earlier findings on crashes an recoveries in the network
structure. In the second part, we focus on the aggregate behavior of the
network dynamics. We show that the disruptions in the network structure are
smoothed out, so that the average evolution can be described by a growth regime
followed by a saturation regime, without an initial random regime. For the
saturation regime, we obtain a logarithmic scaling between the average
connectivity per node $\mean{l}_{s}$ and a parameter $m$, describing the
average incoming connectivity, which is independent of the system size $N$.
| q-bio.PE nlin.AO q-bio.MN q-bio.QM | we analyze a model of interacting agents eg prebiotic chemical species which are represended by nodes of a network whereas their interactions are mapped onto directed links between these nodes on a fast time scale each agent follows an eigendynamics based on catalytic support from other nodes whereas on a much slower time scale the network evolves through selection and mutation of its nodesagent in the first part of the paper we explain the dynamics of the model by means of characteristic snapshots of the network evolution and confirm earlier findings on crashes an recoveries in the network structure in the second part we focus on the aggregate behavior of the network dynamics we show that the disruptions in the network structure are smoothed out so that the average evolution can be described by a growth regime followed by a saturation regime without an initial random regime for the saturation regime we obtain a logarithmic scaling between the average connectivity per node meanl_s and a parameter m describing the average incoming connectivity which is independent of the system size n | [['we', 'analyze', 'a', 'model', 'of', 'interacting', 'agents', 'eg', 'prebiotic', 'chemical', 'species', 'which', 'are', 'represended', 'by', 'nodes', 'of', 'a', 'network', 'whereas', 'their', 'interactions', 'are', 'mapped', 'onto', 'directed', 'links', 'between', 'these', 'nodes', 'on', 'a', 'fast', 'time', 'scale', 'each', 'agent', 'follows', 'an', 'eigendynamics', 'based', 'on', 'catalytic', 'support', 'from', 'other', 'nodes', 'whereas', 'on', 'a', 'much', 'slower', 'time', 'scale', 'the', 'network', 'evolves', 'through', 'selection', 'and', 'mutation', 'of', 'its', 'nodesagent', 'in', 'the', 'first', 'part', 'of', 'the', 'paper', 'we', 'explain', 'the', 'dynamics', 'of', 'the', 'model', 'by', 'means', 'of', 'characteristic', 'snapshots', 'of', 'the', 'network', 'evolution', 'and', 'confirm', 'earlier', 'findings', 'on', 'crashes', 'an', 'recoveries', 'in', 'the', 'network', 'structure', 'in', 'the', 'second', 'part', 'we', 'focus', 'on', 'the', 'aggregate', 'behavior', 'of', 'the', 'network', 'dynamics', 'we', 'show', 'that', 'the', 'disruptions', 'in', 'the', 'network', 'structure', 'are', 'smoothed', 'out', 'so', 'that', 'the', 'average', 'evolution', 'can', 'be', 'described', 'by', 'a', 'growth', 'regime', 'followed', 'by', 'a', 'saturation', 'regime', 'without', 'an', 'initial', 'random', 'regime', 'for', 'the', 'saturation', 'regime', 'we', 'obtain', 'a', 'logarithmic', 'scaling', 'between', 'the', 'average', 'connectivity', 'per', 'node', 'meanl_s', 'and', 'a', 'parameter', 'm', 'describing', 'the', 'average', 'incoming', 'connectivity', 'which', 'is', 'independent', 'of', 'the', 'system', 'size', 'n']] | [-0.16593451645323287, 0.12372301262104556, -0.07285396805944679, 0.025049232652195136, -0.006346783127193734, -0.10348471567182049, 0.08614510842510183, 0.3639305489279835, -0.2815119484807812, -0.2937002241411536, 0.08387428969881461, -0.2648000421928568, -0.17051912223825516, 0.13670129845797552, 0.003833913880973886, -0.009948948853699185, 0.05134151381503601, 0.07997618277957085, 0.005291298371187206, -0.23662376226357443, 0.32141994858965656, 0.0933526072830046, 0.2643689693380568, -0.0018265375993767026, 0.09385966681243883, -0.005134837457822704, -0.021033148341785886, 0.04375843421143669, -0.10270622285784388, 0.0828010202280251, 0.1632821675762271, 0.09939011918425417, 0.3017704661246284, -0.4712661752782467, -0.23913834189291056, 0.07552386896348016, 0.15403451931971654, 0.10281000006812398, 0.0047471396023891655, -0.2680169286977205, 0.0658207337824512, -0.16541659044207727, -0.09503700151660685, -0.00785296773906313, 0.02122206678929723, 0.06834458408871992, -0.2624189707636044, 0.061209790166572665, 0.05080776188540993, 0.037697019305252495, -0.04795010205381944, -0.0600190621604722, -0.055515477002340524, 0.16221889502784542, 0.009529748208042086, 0.00514676949630181, 0.16369295761641642, -0.15653467967601145, -0.09978233034706722, 0.34249055189854005, -0.05711353506161542, -0.1604993905303842, 0.1815051925171293, -0.12923783262781166, -0.13440914828288184, 0.11782581927675732, 0.216924864930327, 0.10725981624412882, -0.1336805762987489, 0.03843898310278849, -0.02997323538381922, 0.19072228923866177, 0.027898086505905216, 0.001790420515304905, 0.19160710114164878, 0.2355394050699927, 0.07417374640955764, 0.13927884241743646, -0.08008246061307941, -0.13126342633402363, -0.27116196509450674, -0.12531169963274466, -0.21180114122160243, 0.04811651616667708, -0.13073069981266783, -0.12012297229704547, 0.42105729884788984, 0.12738739396609883, 0.272016233109506, 0.09724688663352597, 0.24963982911822571, 0.10415852879105651, 0.06767739987100796, 0.11521548742039056, 0.19842063972337098, 0.07760118939755958, 0.10379000967842038, -0.23932063826349942, 0.1430657971650362, 0.05859399363556403] |
708.4213 | On the quiver of the descent algebra | We study the quiver of the descent algebra of a finite Coxeter group W. The
results include a derivation of the quiver of the descent algebra of types A
and B. Our approach is to study the descent algebra as an algebra constructed
from the reflection arrangement associated to W.
| math.RT math.CO | we study the quiver of the descent algebra of a finite coxeter group w the results include a derivation of the quiver of the descent algebra of types a and b our approach is to study the descent algebra as an algebra constructed from the reflection arrangement associated to w | [['we', 'study', 'the', 'quiver', 'of', 'the', 'descent', 'algebra', 'of', 'a', 'finite', 'coxeter', 'group', 'w', 'the', 'results', 'include', 'a', 'derivation', 'of', 'the', 'quiver', 'of', 'the', 'descent', 'algebra', 'of', 'types', 'a', 'and', 'b', 'our', 'approach', 'is', 'to', 'study', 'the', 'descent', 'algebra', 'as', 'an', 'algebra', 'constructed', 'from', 'the', 'reflection', 'arrangement', 'associated', 'to', 'w']] | [-0.14020173504948616, 0.03184116028511198, -0.11667567577213049, -0.009126940255519002, -0.12133894562721252, -0.14342272804118694, -0.01889714914606884, 0.3353906676545739, -0.41754532970488073, -0.23089761640876533, 0.11563765323720872, -0.21715769674628974, -0.1447738763038069, 0.16268028181046248, -0.1379262997582555, -0.10127098143100738, 0.1038188106007874, 0.10260822985321283, -0.13065489618107676, -0.23425757683813572, 0.36690070286393167, 0.028611503522843123, 0.25802401270717384, -0.05170483229681849, 0.146072042779997, 0.06848251896910369, -0.06594432558864355, 0.0005431753396987915, -0.1107870988920331, 0.1505064675025642, 0.23305359449237584, 0.10649741694331169, 0.21185946255922317, -0.32858159036375584, -0.06253702720627188, 0.1480269854515791, 0.16900709405425005, 0.09820356480777263, -0.06739164974540472, -0.2626732510328293, 0.07863462511450052, -0.24545752497389914, -0.1552353928051889, 0.007018117606639862, 0.0480005794018507, 0.01809313747100532, -0.25953296426683664, -0.027543773222714663, 0.07139021910727024, 0.1320226286863908, -0.08277644767425954, -0.11180067600682378, -0.1204420525347814, 0.05928437466733158, -0.03303931108210236, 0.0486273917555809, 0.13801224828697742, -0.1065901282383129, -0.2019135531038046, 0.38897429801523686, -0.005458373297005892, -0.1975426922738552, 0.146811386346817, -0.1547689007036388, -0.15782236034981906, 0.09130594305694104, 0.14113636707887053, 0.14724902026355266, -0.03190613863989711, 0.18950936000677757, -0.159275583922863, 0.005414680074900389, 0.0027397775836288927, -0.05933453019708395, 0.09078084863722324, 0.10979627309367061, 0.024548072423785924, 0.1501784763718024, 0.012374253607122227, -0.021039809500798583, -0.423411591053009, -0.21950767252594233, -0.11571841284632683, 0.09282961463555693, -0.1316355999649386, -0.17991411566734314, 0.425855106562376, 0.12106351479887963, 0.2181688343733549, 0.07921176506206393, 0.1747664076089859, 0.1102343302872032, 0.14276747607276774, -0.02193762936629355, 0.09542850270867348, 0.32123878618702295, 0.004377356246113778, -0.2741740373766515, -0.07456132263876497, 0.2528910277038813] |
708.4214 | High Rate Single-Symbol Decodable Precoded DSTBCs for Cooperative
Networks | Distributed Orthogonal Space-Time Block Codes (DOSTBCs) achieving full
diversity order and single-symbol ML decodability have been introduced recently
for cooperative networks and an upper-bound on the maximal rate of such codes
along with code constructions has been presented. In this report, we introduce
a new class of Distributed STBCs called Semi-orthogonal Precoded Distributed
Single-Symbol Decodable STBCs (S-PDSSDC) wherein, the source performs
co-ordinate interleaving of information symbols appropriately before
transmitting it to all the relays. It is shown that DOSTBCs are a special case
of S-PDSSDCs. A special class of S-PDSSDCs having diagonal covariance matrix at
the destination is studied and an upper bound on the maximal rate of such codes
is derived. The bounds obtained are approximately twice larger than that of the
DOSTBCs. A systematic construction of S-PDSSDCs is presented when the number of
relays $K \geq 4$. The constructed codes are shown to achieve the upper-bound
on the rate when $K$ is of the form 0 modulo 4 or 3 modulo 4. For the rest of
the values of $K$, the constructed codes are shown to have rates higher than
that of DOSTBCs. It is also shown that S-PDSSDCs cannot be constructed with any
form of linear processing at the relays when the source doesn't perform
co-ordinate interleaving of the information symbols.
| cs.IT math.IT | distributed orthogonal spacetime block codes dostbcs achieving full diversity order and singlesymbol ml decodability have been introduced recently for cooperative networks and an upperbound on the maximal rate of such codes along with code constructions has been presented in this report we introduce a new class of distributed stbcs called semiorthogonal precoded distributed singlesymbol decodable stbcs spdssdc wherein the source performs coordinate interleaving of information symbols appropriately before transmitting it to all the relays it is shown that dostbcs are a special case of spdssdcs a special class of spdssdcs having diagonal covariance matrix at the destination is studied and an upper bound on the maximal rate of such codes is derived the bounds obtained are approximately twice larger than that of the dostbcs a systematic construction of spdssdcs is presented when the number of relays k geq 4 the constructed codes are shown to achieve the upperbound on the rate when k is of the form 0 modulo 4 or 3 modulo 4 for the rest of the values of k the constructed codes are shown to have rates higher than that of dostbcs it is also shown that spdssdcs cannot be constructed with any form of linear processing at the relays when the source doesnt perform coordinate interleaving of the information symbols | [['distributed', 'orthogonal', 'spacetime', 'block', 'codes', 'dostbcs', 'achieving', 'full', 'diversity', 'order', 'and', 'singlesymbol', 'ml', 'decodability', 'have', 'been', 'introduced', 'recently', 'for', 'cooperative', 'networks', 'and', 'an', 'upperbound', 'on', 'the', 'maximal', 'rate', 'of', 'such', 'codes', 'along', 'with', 'code', 'constructions', 'has', 'been', 'presented', 'in', 'this', 'report', 'we', 'introduce', 'a', 'new', 'class', 'of', 'distributed', 'stbcs', 'called', 'semiorthogonal', 'precoded', 'distributed', 'singlesymbol', 'decodable', 'stbcs', 'spdssdc', 'wherein', 'the', 'source', 'performs', 'coordinate', 'interleaving', 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708.4215 | Embedding $FD(\omega)$ into $\mathcal{P}_s$ densely | Let $\mathcal{P}_s$ be the lattice of degrees of non-empty $\Pi_1^0$ subsets
of $2^\omega$ under Medvedev reducibility. Binns and Simpson proved that
$FD(\omega)$, the free distributive lattice on countably many generators, is
lattice-embeddable below any non-zero element in $\mathcal{P}_s$. Cenzer and
Hinman proved that $\mathcal{P}_s$ is dense, by adapting the Sacks Preservation
and Sacks Coding Strategies used in the proof of the density of the c.e.\
Turing degrees. With a construction that is a modification of the one by Cenzer
and Hinman, we improve on the result of Binns and Simpson by showing that for
any $\mathcal{U} <_s \mathcal{V}$, we can lattice embed $FD(\omega)$ into
$\mathcal{P}_s$ strictly between $deg_s(\mathcal{U})$ and $deg_s(\mathcal{V)}$.
We also note that, in contrast to the infinite injury in the proof of the Sacks
Density Theorem, in our proof all injury is finite, and that this is also true
for the proof of Cenzer and Hinman, if a straightforward simplification is
made.
| math.LO | let mathcalp_s be the lattice of degrees of nonempty pi_10 subsets of 2omega under medvedev reducibility binns and simpson proved that fdomega the free distributive lattice on countably many generators is latticeembeddable below any nonzero element in mathcalp_s cenzer and hinman proved that mathcalp_s is dense by adapting the sacks preservation and sacks coding strategies used in the proof of the density of the ce turing degrees with a construction that is a modification of the one by cenzer and hinman we improve on the result of binns and simpson by showing that for any mathcalu _s mathcalv we can lattice embed fdomega into mathcalp_s strictly between deg_smathcalu and deg_smathcalv we also note that in contrast to the infinite injury in the proof of the sacks density theorem in our proof all injury is finite and that this is also true for the proof of cenzer and hinman if a straightforward simplification is made | [['let', 'mathcalp_s', 'be', 'the', 'lattice', 'of', 'degrees', 'of', 'nonempty', 'pi_10', 'subsets', 'of', '2omega', 'under', 'medvedev', 'reducibility', 'binns', 'and', 'simpson', 'proved', 'that', 'fdomega', 'the', 'free', 'distributive', 'lattice', 'on', 'countably', 'many', 'generators', 'is', 'latticeembeddable', 'below', 'any', 'nonzero', 'element', 'in', 'mathcalp_s', 'cenzer', 'and', 'hinman', 'proved', 'that', 'mathcalp_s', 'is', 'dense', 'by', 'adapting', 'the', 'sacks', 'preservation', 'and', 'sacks', 'coding', 'strategies', 'used', 'in', 'the', 'proof', 'of', 'the', 'density', 'of', 'the', 'ce', 'turing', 'degrees', 'with', 'a', 'construction', 'that', 'is', 'a', 'modification', 'of', 'the', 'one', 'by', 'cenzer', 'and', 'hinman', 'we', 'improve', 'on', 'the', 'result', 'of', 'binns', 'and', 'simpson', 'by', 'showing', 'that', 'for', 'any', 'mathcalu', '_s', 'mathcalv', 'we', 'can', 'lattice', 'embed', 'fdomega', 'into', 'mathcalp_s', 'strictly', 'between', 'deg_smathcalu', 'and', 'deg_smathcalv', 'we', 'also', 'note', 'that', 'in', 'contrast', 'to', 'the', 'infinite', 'injury', 'in', 'the', 'proof', 'of', 'the', 'sacks', 'density', 'theorem', 'in', 'our', 'proof', 'all', 'injury', 'is', 'finite', 'and', 'that', 'this', 'is', 'also', 'true', 'for', 'the', 'proof', 'of', 'cenzer', 'and', 'hinman', 'if', 'a', 'straightforward', 'simplification', 'is', 'made']] | [-0.12445848523920415, 0.14689082234172812, -0.11057609512514416, 0.04754945009574919, -0.05304758207897512, -0.12617027744863357, 0.0756790138399791, 0.31601690459096393, -0.262100231333717, -0.17037688943263668, 0.10506067297737046, -0.24905000952378714, -0.12599250189786163, 0.18143907280157526, -0.15537888257320495, -0.020774622572798458, 0.043102439677330275, 0.019856489118151115, -0.026350632972465267, -0.28794771864160196, 0.3309932217039418, -0.03401576416666976, 0.23438086865732333, 0.12230591126366037, 0.12221234878400128, 0.03845198719993534, 0.005449751916266478, 0.020979661555435732, -0.1565808194841613, 0.1260280686761909, 0.24546646494293373, 0.15198111374731232, 0.2631504869951098, -0.33133757098159133, -0.17770185142004669, 0.1436855313618161, 0.10198346443861823, 0.04829653027161156, 0.0027729951442163063, -0.25413390582164863, 0.1596733153728931, -0.15349209222211282, -0.11571571561226608, -0.06957550830639049, 0.056591815258932594, 0.024394883842976302, -0.27264640628416464, 0.020309849724645456, 0.17301783313812225, 0.09197300313753169, -0.03500025841484046, -0.09810357952440445, -0.058648340114948634, 0.04752569449690464, -0.0016989122713672235, 0.08783909381561031, 0.02060781403025925, -0.05157311340003281, -0.11659069419307197, 0.35181077078434847, -0.053227623443325496, -0.21532291746635815, 0.16245327801318626, -0.1327796036583815, -0.15190963402012325, 0.1069381869969977, 0.05430795842681655, 0.09235805393690431, -0.05676366720073575, 0.16064578918865163, -0.12683407785902237, 0.16446761915697747, 0.1457834473050093, 0.01354788172827571, 0.09497043835436737, 0.10471043102880752, 0.09113712135925826, 0.12976491525566092, 0.033677126040319666, -0.038245406981570106, -0.31874639568412866, -0.15944080088063356, -0.18815077911052952, 0.08193279818425443, -0.09186310647914948, -0.1622573541752344, 0.3378251108322168, 0.11759095308027112, 0.12994517951628706, 0.09796590144252217, 0.22740027720371148, 0.0539211623859748, 0.05654674995340557, 0.08606976159416989, 0.1424136578477294, 0.1671797071517939, -0.006081476774779242, -0.17332472196536375, 0.05467477570219128, 0.18021471433078984] |
708.4216 | Equation of state at high densities and modern compact star observations | Recently, observations of compact stars have provided new data of high
accuracy which put strong constraints on the high-density behaviour of the
equation of state of strongly interacting matter otherwise not accessible in
terrestrial laboratories. The evidence for neutron stars with high mass (M =2.1
+/- 0.2 M_sun for PSR J0751+1807) and large radii (R > 12 km for RX J1856-3754)
rules out soft equations of state and has provoked a debate whether the
occurence of quark matter in compact stars can be excluded as well. In this
contribution it is shown that modern quantum field theoretical approaches to
quark matter including color superconductivity and a vector meanfield allow a
microscopic description of hybrid stars which fulfill the new, strong
constraints. The deconfinement transition in the resulting stiff hybrid
equation of state is weakly first order so that signals of it have to be
expected due to specific changes in transport properties governing the
rotational and cooling evolution caused by the color superconductivity of quark
matter. A similar conclusion holds for the investigation of quark deconfinement
in future generations of nucleus-nucleus collision experiments at low
temperatures and high baryon densities such as CBM @ FAIR.
| nucl-th | recently observations of compact stars have provided new data of high accuracy which put strong constraints on the highdensity behaviour of the equation of state of strongly interacting matter otherwise not accessible in terrestrial laboratories the evidence for neutron stars with high mass m 21 02 m_sun for psr j07511807 and large radii r 12 km for rx j18563754 rules out soft equations of state and has provoked a debate whether the occurence of quark matter in compact stars can be excluded as well in this contribution it is shown that modern quantum field theoretical approaches to quark matter including color superconductivity and a vector meanfield allow a microscopic description of hybrid stars which fulfill the new strong constraints the deconfinement transition in the resulting stiff hybrid equation of state is weakly first order so that signals of it have to be expected due to specific changes in transport properties governing the rotational and cooling evolution caused by the color superconductivity of quark matter a similar conclusion holds for the investigation of quark deconfinement in future generations of nucleusnucleus collision experiments at low temperatures and high baryon densities such as cbm fair | [['recently', 'observations', 'of', 'compact', 'stars', 'have', 'provided', 'new', 'data', 'of', 'high', 'accuracy', 'which', 'put', 'strong', 'constraints', 'on', 'the', 'highdensity', 'behaviour', 'of', 'the', 'equation', 'of', 'state', 'of', 'strongly', 'interacting', 'matter', 'otherwise', 'not', 'accessible', 'in', 'terrestrial', 'laboratories', 'the', 'evidence', 'for', 'neutron', 'stars', 'with', 'high', 'mass', 'm', '21', '02', 'm_sun', 'for', 'psr', 'j07511807', 'and', 'large', 'radii', 'r', '12', 'km', 'for', 'rx', 'j18563754', 'rules', 'out', 'soft', 'equations', 'of', 'state', 'and', 'has', 'provoked', 'a', 'debate', 'whether', 'the', 'occurence', 'of', 'quark', 'matter', 'in', 'compact', 'stars', 'can', 'be', 'excluded', 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708.4217 | A note on the Markoff condition and central words | We define Markoff words as certain factors appearing in bi-infinite words
satisfying the Markoff condition. We prove that these words coincide with
central words, yielding a new characterization of Christoffel words.
| math.CO | we define markoff words as certain factors appearing in biinfinite words satisfying the markoff condition we prove that these words coincide with central words yielding a new characterization of christoffel words | [['we', 'define', 'markoff', 'words', 'as', 'certain', 'factors', 'appearing', 'in', 'biinfinite', 'words', 'satisfying', 'the', 'markoff', 'condition', 'we', 'prove', 'that', 'these', 'words', 'coincide', 'with', 'central', 'words', 'yielding', 'a', 'new', 'characterization', 'of', 'christoffel', 'words']] | [-0.19216837890205846, 0.16769783419177628, -0.026899711198864446, 0.14259570067928684, -0.1686846379400982, -0.14569616120969575, 0.09277823648505634, 0.3356162544580237, -0.3583822807357196, -0.17269091246529453, 0.03497215695003228, -0.3432383068626927, -0.1372891379700553, 0.16494666632723004, -0.14212216415833082, 0.026398380377119588, 0.10576362903380106, 0.24211561211174534, -0.12388050552427528, -0.24379297571572206, 0.40814760507595155, -0.092507224049299, 0.17976866661000154, -0.04432641113958051, 0.15781878932349144, -0.004314608586531493, -0.0670382030188076, -0.0069088929242664765, -0.22261558717324195, 0.1315094357987325, 0.36297208467318165, 0.15428546532958506, 0.21565596630511386, -0.32079498409744234, -0.15572791390361324, 0.18787231704881113, 0.1405275587157737, 0.03908209142185027, -0.006250006965391578, -0.26611503556130395, 0.11213422538111767, -0.11562106337758803, -0.08194118963494416, -0.05228396640309403, 0.008350556445938925, 0.1376442045814568, -0.22374435609597113, 0.04311487092185886, 0.23349923982975945, 0.07468184972963025, -0.053372161492945686, -0.14565800345172325, 0.07702707176307036, 0.1601932337657819, 0.04058125903529505, 0.011062875758075425, 0.029479804418740735, -0.07796121845322271, -0.1349343123935884, 0.37670794814344377, -0.05576703553238223, -0.26253008548050155, 0.13684188346228293, -0.1528620143090525, -0.2272158398803684, 0.04501369660119376, 0.07682564572220849, 0.04702144530752013, -0.10253334453990383, 0.07512754354918856, -0.22267921545332478, 0.16193933187112694, 0.3652384885316414, 0.13175782358514204, 0.15121624600743094, 0.04870321685748716, 0.025904744472955505, 0.1914914438440915, 0.058024537449161855, -0.00487695514194427, -0.35215294264977975, -0.22683435134709842, -0.07185913358003862, 0.04071422642277133, -0.1589239468918212, -0.3150859698052368, 0.33424298909883343, 0.1309024545874807, 0.20097337891497918, 0.19519503420639422, 0.11142705317075935, 0.13701829166647286, 0.1072027305621774, 0.10455316990133255, 0.009260554692798083, 0.1584870848924883, -0.03563941913025995, -0.0755391554125855, 0.077883668694525, 0.2565701197562439] |
708.4218 | Reissner-Nordstrom and charged gas spheres | The main point of this paper is a suggestion about the proper treatment of
the photon gas in a theory of stellar structure and other plasmas. This problem
arises in the study of polytropic gas spheres, where we have already introduced
some innovations. The main idea, already advanced in the contextof neutral,
homogeneous, polytropic stellar models, is to base the theory firmly on a
variational principle. Another essential novelty is to let mass distribution
extend to infinity, the boundary between bulk and atmosphere being defined by
an abrupt change in the polytropic index, triggered by the density. The logical
next step in this program is to include the effect of radiation, which is a
very significant complication since a full treatment would have to include an
account of ionization, thus fieldsrepresenting electrons, ions, photons,
gravitons and neutral atoms as well. In way of preparation, we consider models
that are charged but homogeneous, involving only gravity, electromagnetism and
a single scalar field that represents both the mass and the electric charge; in
short, anon-neutral plasma. While this work only represents a stage in the
development of a theory of stars, without direct application to physical
systems, it does shed some light on the meaning of the Reissner-Nordstrom
solution of the modified Einstein-Maxwell equations., with an application to a
simple system.
| gr-qc | the main point of this paper is a suggestion about the proper treatment of the photon gas in a theory of stellar structure and other plasmas this problem arises in the study of polytropic gas spheres where we have already introduced some innovations the main idea already advanced in the contextof neutral homogeneous polytropic stellar models is to base the theory firmly on a variational principle another essential novelty is to let mass distribution extend to infinity the boundary between bulk and atmosphere being defined by an abrupt change in the polytropic index triggered by the density the logical next step in this program is to include the effect of radiation which is a very significant complication since a full treatment would have to include an account of ionization thus fieldsrepresenting electrons ions photons gravitons and neutral atoms as well in way of preparation we consider models that are charged but homogeneous involving only gravity electromagnetism and a single scalar field that represents both the mass and the electric charge in short anonneutral plasma while this work only represents a stage in the development of a theory of stars without direct application to physical systems it does shed some light on the meaning of the reissnernordstrom solution of the modified einsteinmaxwell equations with an application to a simple system | [['the', 'main', 'point', 'of', 'this', 'paper', 'is', 'a', 'suggestion', 'about', 'the', 'proper', 'treatment', 'of', 'the', 'photon', 'gas', 'in', 'a', 'theory', 'of', 'stellar', 'structure', 'and', 'other', 'plasmas', 'this', 'problem', 'arises', 'in', 'the', 'study', 'of', 'polytropic', 'gas', 'spheres', 'where', 'we', 'have', 'already', 'introduced', 'some', 'innovations', 'the', 'main', 'idea', 'already', 'advanced', 'in', 'the', 'contextof', 'neutral', 'homogeneous', 'polytropic', 'stellar', 'models', 'is', 'to', 'base', 'the', 'theory', 'firmly', 'on', 'a', 'variational', 'principle', 'another', 'essential', 'novelty', 'is', 'to', 'let', 'mass', 'distribution', 'extend', 'to', 'infinity', 'the', 'boundary', 'between', 'bulk', 'and', 'atmosphere', 'being', 'defined', 'by', 'an', 'abrupt', 'change', 'in', 'the', 'polytropic', 'index', 'triggered', 'by', 'the', 'density', 'the', 'logical', 'next', 'step', 'in', 'this', 'program', 'is', 'to', 'include', 'the', 'effect', 'of', 'radiation', 'which', 'is', 'a', 'very', 'significant', 'complication', 'since', 'a', 'full', 'treatment', 'would', 'have', 'to', 'include', 'an', 'account', 'of', 'ionization', 'thus', 'fieldsrepresenting', 'electrons', 'ions', 'photons', 'gravitons', 'and', 'neutral', 'atoms', 'as', 'well', 'in', 'way', 'of', 'preparation', 'we', 'consider', 'models', 'that', 'are', 'charged', 'but', 'homogeneous', 'involving', 'only', 'gravity', 'electromagnetism', 'and', 'a', 'single', 'scalar', 'field', 'that', 'represents', 'both', 'the', 'mass', 'and', 'the', 'electric', 'charge', 'in', 'short', 'anonneutral', 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708.4219 | Secure Transmission with Multiple Antennas: The MISOME Wiretap Channel | The role of multiple antennas for secure communication is investigated within
the framework of Wyner's wiretap channel. We characterize the secrecy capacity
in terms of generalized eigenvalues when the sender and eavesdropper have
multiple antennas, the intended receiver has a single antenna, and the channel
matrices are fixed and known to all the terminals, and show that a beamforming
strategy is capacity-achieving. In addition, we show that in the high
signal-to-noise (SNR) ratio regime the penalty for not knowing eavesdropper's
channel is small--a simple ``secure space-time code'' that can be thought of as
masked beamforming and radiates power isotropically attains near-optimal
performance. In the limit of large number of antennas, we obtain a
realization-independent characterization of the secrecy capacity as a function
of the number $\beta$: the number of eavesdropper antennas per sender antenna.
We show that the eavesdropper is comparatively ineffective when $\beta<1$, but
that for $\beta\ge2$ the eavesdropper can drive the secrecy capacity to zero,
thereby blocking secure communication to the intended receiver. Extensions to
ergodic fading channels are also provided.
| cs.IT math.IT | the role of multiple antennas for secure communication is investigated within the framework of wyners wiretap channel we characterize the secrecy capacity in terms of generalized eigenvalues when the sender and eavesdropper have multiple antennas the intended receiver has a single antenna and the channel matrices are fixed and known to all the terminals and show that a beamforming strategy is capacityachieving in addition we show that in the high signaltonoise snr ratio regime the penalty for not knowing eavesdroppers channel is smalla simple secure spacetime code that can be thought of as masked beamforming and radiates power isotropically attains nearoptimal performance in the limit of large number of antennas we obtain a realizationindependent characterization of the secrecy capacity as a function of the number beta the number of eavesdropper antennas per sender antenna we show that the eavesdropper is comparatively ineffective when beta1 but that for betage2 the eavesdropper can drive the secrecy capacity to zero thereby blocking secure communication to the intended receiver extensions to ergodic fading channels are also provided | [['the', 'role', 'of', 'multiple', 'antennas', 'for', 'secure', 'communication', 'is', 'investigated', 'within', 'the', 'framework', 'of', 'wyners', 'wiretap', 'channel', 'we', 'characterize', 'the', 'secrecy', 'capacity', 'in', 'terms', 'of', 'generalized', 'eigenvalues', 'when', 'the', 'sender', 'and', 'eavesdropper', 'have', 'multiple', 'antennas', 'the', 'intended', 'receiver', 'has', 'a', 'single', 'antenna', 'and', 'the', 'channel', 'matrices', 'are', 'fixed', 'and', 'known', 'to', 'all', 'the', 'terminals', 'and', 'show', 'that', 'a', 'beamforming', 'strategy', 'is', 'capacityachieving', 'in', 'addition', 'we', 'show', 'that', 'in', 'the', 'high', 'signaltonoise', 'snr', 'ratio', 'regime', 'the', 'penalty', 'for', 'not', 'knowing', 'eavesdroppers', 'channel', 'is', 'smalla', 'simple', 'secure', 'spacetime', 'code', 'that', 'can', 'be', 'thought', 'of', 'as', 'masked', 'beamforming', 'and', 'radiates', 'power', 'isotropically', 'attains', 'nearoptimal', 'performance', 'in', 'the', 'limit', 'of', 'large', 'number', 'of', 'antennas', 'we', 'obtain', 'a', 'realizationindependent', 'characterization', 'of', 'the', 'secrecy', 'capacity', 'as', 'a', 'function', 'of', 'the', 'number', 'beta', 'the', 'number', 'of', 'eavesdropper', 'antennas', 'per', 'sender', 'antenna', 'we', 'show', 'that', 'the', 'eavesdropper', 'is', 'comparatively', 'ineffective', 'when', 'beta1', 'but', 'that', 'for', 'betage2', 'the', 'eavesdropper', 'can', 'drive', 'the', 'secrecy', 'capacity', 'to', 'zero', 'thereby', 'blocking', 'secure', 'communication', 'to', 'the', 'intended', 'receiver', 'extensions', 'to', 'ergodic', 'fading', 'channels', 'are', 'also', 'provided']] | [-0.3059660069064417, 0.06266967781508963, -0.01019993318212137, 0.04205133140152484, -0.0510241038268786, -0.32834237079784184, 0.13804183499506342, 0.3810537534150464, -0.24041041236218305, -0.23028388016338572, 0.08489641844300412, -0.2704564703149144, -0.14464846137320153, 0.12462033134373177, -0.1287828390282301, 0.052098113123044285, -0.005284567808797746, 0.08662891538530501, 0.0006775314693627825, -0.28981626145977374, 0.28750210435113366, 0.16886265630553318, 0.3150885841790151, 0.03792693056656342, 0.08190710867117894, 0.01652918010677772, 0.030572057829636057, -0.062130577971189344, -0.08601989635993619, -0.004877135466664419, 0.3524234029818435, 0.19734656447762547, 0.23554923102172495, -0.3560455134737561, -0.25674829229015356, 0.09523071675515074, 0.20009255501283715, 0.08941723952581834, -0.04932912145822979, -0.23881000029304397, 0.14245097122661637, -0.24424259594440112, -0.035204502128946935, 0.031142199706090123, -0.09007471114361648, 0.06395069077578291, -0.38558866057577457, -0.00534930004079946, 0.02485093909005324, 0.02706432152724667, -0.009322602126191844, -0.137724893020564, 0.03674921924547886, 0.2027425203729034, 0.041389810903084995, -0.031045526810731108, 0.10509473204950405, -0.10834589516689554, -0.049293070309931596, 0.3169134646294671, -0.016595582140075883, -0.2603731799614752, 0.10945347910957977, -0.17374399065840662, -0.05606522439701254, 0.20947661977914864, 0.23592658315877818, 0.051618662891550024, -0.1601123033290217, 0.041234834891354544, -0.055711704525519275, 0.20726378486159514, 0.10011461100061778, 0.18609056210319636, 0.15127539660983136, 0.09517085027053124, 0.15240450545584466, 0.20710073934244375, -0.1372924958606256, -0.08571949510491993, -0.2514883950795183, -0.1587959237639079, -0.2896953599952292, 0.048158784692494974, -0.12905000200539715, -0.05399397392730005, 0.30073130403833237, 0.13945049028135617, 0.07804497326342988, 0.14923502076743989, 0.4207478313821188, 0.07872804236456708, 0.046682148997546635, 0.18471492435075124, 0.24724198013478726, 0.1714532566188742, 0.06364481165945225, -0.18659884485617628, 0.08280565803707168, -0.050369101410394] |
708.422 | RMS Radio Source Contributions to the Microwave Sky | Cross-correlations of the WMAP full sky K, Ka, Q, V, and W band maps with the
1.4 GHz NVSS source count map and the HEAO I A2 2-10 keV full sky X-ray flux
map are used to constrain rms fluctuations due to unresolved microwave sources
in the WMAP frequency range. In the Q band (40.7 GHz), a lower limit, taking
account of only those fluctuations correlated with the 1.4 GHz radio source
counts and X-ray flux, corresponds to an rms Rayleigh-Jeans temperature of ~ 2
microKelvin for a solid angle of one square degree. The correlated fluctuations
at the other bands are consistent with a beta = -2.1 +- 0.4 frequency spectrum.
Using the rms fluctuations of the X-ray flux and radio source counts, and the
cross-correlation of these two quantities as a guide, the above lower limit
leads to a plausible estimate of ~ 5 microKelvin for Q-band rms fluctuations in
one square degree. This value is similar to that implied by the excess, small
angular scale fluctuations observed in the Q band by WMAP, and is consistent
with estimates made by extrapolating low-frquency source counts.
| astro-ph | crosscorrelations of the wmap full sky k ka q v and w band maps with the 14 ghz nvss source count map and the heao i a2 210 kev full sky xray flux map are used to constrain rms fluctuations due to unresolved microwave sources in the wmap frequency range in the q band 407 ghz a lower limit taking account of only those fluctuations correlated with the 14 ghz radio source counts and xray flux corresponds to an rms rayleighjeans temperature of 2 microkelvin for a solid angle of one square degree the correlated fluctuations at the other bands are consistent with a beta 21 04 frequency spectrum using the rms fluctuations of the xray flux and radio source counts and the crosscorrelation of these two quantities as a guide the above lower limit leads to a plausible estimate of 5 microkelvin for qband rms fluctuations in one square degree this value is similar to that implied by the excess small angular scale fluctuations observed in the q band by wmap and is consistent with estimates made by extrapolating lowfrquency source counts | [['crosscorrelations', 'of', 'the', 'wmap', 'full', 'sky', 'k', 'ka', 'q', 'v', 'and', 'w', 'band', 'maps', 'with', 'the', '14', 'ghz', 'nvss', 'source', 'count', 'map', 'and', 'the', 'heao', 'i', 'a2', '210', 'kev', 'full', 'sky', 'xray', 'flux', 'map', 'are', 'used', 'to', 'constrain', 'rms', 'fluctuations', 'due', 'to', 'unresolved', 'microwave', 'sources', 'in', 'the', 'wmap', 'frequency', 'range', 'in', 'the', 'q', 'band', '407', 'ghz', 'a', 'lower', 'limit', 'taking', 'account', 'of', 'only', 'those', 'fluctuations', 'correlated', 'with', 'the', '14', 'ghz', 'radio', 'source', 'counts', 'and', 'xray', 'flux', 'corresponds', 'to', 'an', 'rms', 'rayleighjeans', 'temperature', 'of', '2', 'microkelvin', 'for', 'a', 'solid', 'angle', 'of', 'one', 'square', 'degree', 'the', 'correlated', 'fluctuations', 'at', 'the', 'other', 'bands', 'are', 'consistent', 'with', 'a', 'beta', '21', '04', 'frequency', 'spectrum', 'using', 'the', 'rms', 'fluctuations', 'of', 'the', 'xray', 'flux', 'and', 'radio', 'source', 'counts', 'and', 'the', 'crosscorrelation', 'of', 'these', 'two', 'quantities', 'as', 'a', 'guide', 'the', 'above', 'lower', 'limit', 'leads', 'to', 'a', 'plausible', 'estimate', 'of', '5', 'microkelvin', 'for', 'qband', 'rms', 'fluctuations', 'in', 'one', 'square', 'degree', 'this', 'value', 'is', 'similar', 'to', 'that', 'implied', 'by', 'the', 'excess', 'small', 'angular', 'scale', 'fluctuations', 'observed', 'in', 'the', 'q', 'band', 'by', 'wmap', 'and', 'is', 'consistent', 'with', 'estimates', 'made', 'by', 'extrapolating', 'lowfrquency', 'source', 'counts']] | [-0.10082199824666911, 0.16030235856313804, -0.0013997036334290937, 0.11269407214054449, -0.02866978094667442, -0.09223383298568469, 0.07269132180090809, 0.3894582916112555, -0.2061676251814588, -0.3794172294335542, 0.10749830225492818, -0.3615936163024834, 0.044843098161176646, 0.21149334712158685, 0.01278993173676369, -0.0056216733115674045, -0.026232131488191392, -0.0634800196717401, -0.05207687962523938, -0.18023716354202787, 0.23069923053556993, 0.13483605184336447, 0.2691754545929463, 0.007524466797054469, 0.0948327448427585, -0.06960948409287485, -0.08416088047990022, 5.65416501978269e-05, -0.12688636599809147, 0.06272513947992044, 0.24005510554147455, 0.018581171201191495, 0.15861078042659785, -0.29258967793782004, -0.20588701316871896, 0.10776863252785016, 0.10575135357570477, 0.025055562455596012, 0.06409666267259476, -0.24937134026293897, 0.04631742375955922, -0.16065437447137051, -0.1669198735872959, 0.058954385927351256, 0.0588740289497834, 0.040570469498941365, -0.23927528946148743, 0.17837078711222654, -0.003164677028697762, 0.09214802380206043, -0.08861486482751238, -0.17822672734753445, -0.052140875200096234, 0.08045120855056487, -0.009467580605165235, 0.13150908860024885, 0.14320151644354626, -0.11782720959444715, -0.07084330698157978, 0.3351301210881262, -0.11385556111869576, -0.052882076984343045, 0.0953264248027763, -0.23788533381002208, -0.15088257689034096, 0.22261128698828742, 0.09580778774957602, -0.008787462313833472, -0.11420105919011633, 0.05245864347127461, 0.022596079491559867, 0.3138035666325467, 0.10122861853892823, 0.0649850858697811, 0.29919546780145756, 0.06064352869237824, 0.08819056536163111, 0.1428236650910029, -0.2944337351472823, 0.04586831397974383, -0.29759573854971677, 0.004401301317797094, -0.19147532603672737, 0.11033997620496858, -0.1431121788901382, -0.09823707310747673, 0.38764811220967754, 0.13184993005879633, 0.20406145624980165, 0.06453234422312291, 0.2893956816949687, 0.1289993982070003, 0.05199661766752028, 0.08583726876339834, 0.2800052331218107, 0.19239160847200265, 0.11149935410511526, -0.17718041565136186, -0.05266540847299109, -0.058962228682383405] |
708.4221 | Quantum Structures for Lagrangian Submanifolds | We discuss various algebraic quantum structures associated to monotone
Lagrangian submanifolds and we present a number of applications, computations
and examples.
| math.SG math.DG | we discuss various algebraic quantum structures associated to monotone lagrangian submanifolds and we present a number of applications computations and examples | [['we', 'discuss', 'various', 'algebraic', 'quantum', 'structures', 'associated', 'to', 'monotone', 'lagrangian', 'submanifolds', 'and', 'we', 'present', 'a', 'number', 'of', 'applications', 'computations', 'and', 'examples']] | [-0.26297893889603163, 0.07771842190552325, 0.007813307634066968, 0.14468239194580487, -0.10770498710640129, -0.10216421081817575, -0.007293379178182, 0.3825245721354371, -0.2766901795707998, -0.26344996752838296, 0.13726739962363527, -0.27941449851329836, -0.2780437724930899, 0.2420548668929509, -0.12854191842710688, 0.1317377578289736, 0.06564672619459175, 0.0022570259336914334, -0.14740348811305704, -0.23304933992524943, 0.38324573245786486, -0.06437328983918719, 0.14641257237997793, 0.10094053864789505, 0.1329948902130127, -0.028766737541272527, -0.04345212916710547, 0.09177535926712499, -0.230911412365025, 0.20031452551484108, 0.3043210358314571, 0.1360872577698458, 0.21171284591158232, -0.4670252718386196, -0.18020614635731494, 0.16270049998448008, 0.1061349489970044, 0.1443665156229621, -0.08721943563293844, -0.2599462859687351, 0.08790924306958914, -0.1683972425581444, -0.17997302877761068, -0.2304609098604747, -0.028120549794818674, 0.04916429865573134, -0.161086264376839, -0.07640552831192811, 0.03821574417608125, 0.1374570027525936, 0.007205425539896602, -0.08810150899946512, 0.03404570589884229, 0.03134300120707069, -0.00318495218588006, -0.06134059674860466, 0.1685510158450121, -0.12021897573556219, -0.16310457344211282, 0.3705354733836083, 0.014383571665911447, -0.2734674610020149, 0.2370656505227089, -0.0028802635414259775, -0.21573636893715178, 0.06472562504045311, 0.2105128506109828, 0.14801592095976784, -0.04699362619292168, 0.15562353280395091, -0.009958403362404732, 0.02632011863447371, 0.06650000619923785, 0.09001479422052701, 0.10054911522283441, 0.03571288460599525, 0.07113978557199949, 0.22008962095493362, -0.028950174829723046, -0.17515038765434707, -0.4084963237955457, -0.2382814138019014, -0.07232258167295229, 0.09764578193426132, -0.08922559000590506, -0.18621881259605289, 0.4366667905733699, 0.11361238324926012, 0.1951530436940846, 0.10716683231294155, 0.2702515472968419, 0.04974964065920739, -0.012074992238056092, 0.08513323878425927, 0.09430971049836703, 0.2787893811861674, 0.036496431611123537, -0.14044212585403806, -0.08512436310272842, 0.13057552579612958] |
708.4222 | $Z^+(4430)$ as a resonance in the $D_1(D_1^\prime)D^*$ channel | We study the possibility that the $Z^+(4430)$ state observed by Belle is a
$D_1D^*$ (or $D_1'D^*$) resonance in S-wave. Focusing on its decays, We find
that the open-charm decay into $D^*D^*\pi$ is dominant. Furthermore, we use the
re-scattering mechanism to study its hidden-charm decays and find that the
re-scattering effects are significant in $D_1D^*$ channel but not in $D_1'D^*$
channel. For the $J^P=1^-$ candidate, with chosen parameters, we can get
$\Gamma(Z^+\to\psi'\pi^+)/\Gamma(Z^+\to J/\psi\pi^+)\thickapprox 5.3$, which
tends to account for why the $Z^+(4430)$ is difficult to be found in
$J/\psi\pi^+$. However, the $0^-$ candidate can not be ruled out by our
calculations.
| hep-ph | we study the possibility that the z4430 state observed by belle is a d_1d or d_1d resonance in swave focusing on its decays we find that the opencharm decay into ddpi is dominant furthermore we use the rescattering mechanism to study its hiddencharm decays and find that the rescattering effects are significant in d_1d channel but not in d_1d channel for the jp1 candidate with chosen parameters we can get gammaztopsipigammazto jpsipithickapprox 53 which tends to account for why the z4430 is difficult to be found in jpsipi however the 0 candidate can not be ruled out by our calculations | [['we', 'study', 'the', 'possibility', 'that', 'the', 'z4430', 'state', 'observed', 'by', 'belle', 'is', 'a', 'd_1d', 'or', 'd_1d', 'resonance', 'in', 'swave', 'focusing', 'on', 'its', 'decays', 'we', 'find', 'that', 'the', 'opencharm', 'decay', 'into', 'ddpi', 'is', 'dominant', 'furthermore', 'we', 'use', 'the', 'rescattering', 'mechanism', 'to', 'study', 'its', 'hiddencharm', 'decays', 'and', 'find', 'that', 'the', 'rescattering', 'effects', 'are', 'significant', 'in', 'd_1d', 'channel', 'but', 'not', 'in', 'd_1d', 'channel', 'for', 'the', 'jp1', 'candidate', 'with', 'chosen', 'parameters', 'we', 'can', 'get', 'gammaztopsipigammazto', 'jpsipithickapprox', '53', 'which', 'tends', 'to', 'account', 'for', 'why', 'the', 'z4430', 'is', 'difficult', 'to', 'be', 'found', 'in', 'jpsipi', 'however', 'the', '0', 'candidate', 'can', 'not', 'be', 'ruled', 'out', 'by', 'our', 'calculations']] | [-0.10130630128266176, 0.19947114011880998, -0.12253655801166077, 0.15898568733067878, -0.09017658078738926, -0.18019657989260646, 0.08821996313054115, 0.3560004933376093, -0.2099864755434041, -0.22585100986595666, 0.011876621601951062, -0.32808059562301756, -0.07127896327838985, 0.10065806316382879, 0.07405765447765589, 0.0394392389963305, 0.09332443949557384, 0.023289697007181084, 9.786869857783373e-05, -0.19464446300146532, 0.29546982671457284, 0.014527198782532799, 0.1832278962389623, 0.1351111792930763, -0.06971255005147232, -0.028417051228105415, 0.054941377882864705, -0.06391347809314575, -0.1589954453792954, -0.027836809259107604, 0.22761994550878906, 0.11894473081872779, 0.16378552808749433, -0.3672870362785702, -0.12988353682187748, 0.16381803020948962, 0.2446617706659801, 0.12206575031539578, -0.03461120773121068, -0.3590071485472881, 0.17122170831342892, -0.17807041500143858, -0.0933719931255874, -0.11557261666701156, 0.023329387232423664, -0.0884871210116532, -0.312012817872194, 0.07916263079422774, -0.004993158290447781, -0.03925343420261776, -0.04206867973149127, -0.18820680429854866, -0.049615524868404835, 0.0389971065035622, 0.0864658551456939, 0.05985128467579429, 0.13777729989343077, -0.12160544319800576, -0.1375854102115394, 0.38899985738858883, -0.0860920991862611, -0.19940090272575617, 0.1191676754197961, -0.1642474776457007, -0.1255420705408086, 0.1586841889514531, 0.13816276840789585, 0.05526384423315829, -0.15304151890153178, 0.0563907239732228, -0.04739038429546113, 0.20574126455324646, 0.02041402129855539, 0.07659424271681631, 0.17883953098587843, 0.1722419119573065, -0.06320719798190558, 0.10847842769592772, -0.11794777514593562, -0.07157245189502683, -0.3102453601907711, -0.13642304810714356, -0.12280908465499477, 0.09977879240421093, 0.060701796191189754, -0.07849086175805756, 0.33066169455010747, 0.09536441637568974, 0.27039412133471696, -0.0524007138161806, 0.2709169653529415, 0.10962162133215983, 0.0892398012516906, 0.08092459024177218, 0.3537897312567018, 0.1250322485124046, 0.056976666450690557, -0.28766544141844674, 0.11218300133905544, -0.06777239789026884] |
708.4223 | Riemann zeta function and quantum chaos | A brief review of recent developments in the theory of the Riemann zeta
function inspired by ideas and methods of quantum chaos is given.
| nlin.CD | a brief review of recent developments in the theory of the riemann zeta function inspired by ideas and methods of quantum chaos is given | [['a', 'brief', 'review', 'of', 'recent', 'developments', 'in', 'the', 'theory', 'of', 'the', 'riemann', 'zeta', 'function', 'inspired', 'by', 'ideas', 'and', 'methods', 'of', 'quantum', 'chaos', 'is', 'given']] | [-0.1499902709814099, 0.11735650221817195, -0.15895500259163478, 0.02924441564149068, -0.06543785527658959, -0.07798981074787055, 0.009708503382474495, 0.21776507290390631, -0.2627066324154536, -0.22029473908090344, 0.10085840159930133, -0.2421273075354596, -0.32375245727598667, 0.24698521841006973, -0.11799813306424767, 0.09737186894441645, 0.05139479972422123, 0.007170421614622076, -0.16567325976211578, -0.3237769027861456, 0.38447690757069114, 0.06558746869268361, 0.22515125643500747, 0.1405317698760579, 0.09750435237462322, 0.0361142692854628, -0.16157020589647195, -0.011241492970536152, -0.21629568682207415, 0.2007647966577982, 0.23336138223142674, 0.18188312781664231, 0.36165410342315835, -0.4836860846262425, -0.28664538617401075, -0.025407175300642848, 0.06928924863071491, 0.07938523520715535, -0.047278929695797466, -0.30372595010946196, 0.045179576186152794, -0.16092560168666145, -0.1650726477188679, -0.03761101195899149, 0.055379399874558054, 0.06499157795527329, -0.16872480985087654, 0.06246689974796027, 0.05335607810411602, 0.1277717056994637, 0.02544777118600905, -0.13561918182919422, 0.13557741628028452, 0.0223769491033939, 0.10472938041008699, 0.1543995008105412, 0.10105258141023417, -0.1863770002964884, -0.24218241311609745, 0.2984181703456367, -0.06231676026557883, -0.12785225811724862, 0.1493898754561087, -0.09022463212022558, -0.18697878392413259, 0.0381880437489599, 0.09315032927164187, 0.17601288808509707, -0.08577728686699022, 0.19352265020279447, -0.0058872964000329375, 0.05288262308264772, 0.007475292038482924, 0.011248689144849777, 0.2658437580491106, 0.14695751519563297, -0.047071594453882426, 0.0970666091889143, 0.012761067443837723, -0.20033276779577136, -0.3472855417057872, -0.16898004276057085, -0.2325958371317635, 0.07729729975108057, -0.02175211194298754, -0.19256982257744917, 0.4390830935444683, 0.14135659874106446, 0.19937252575376382, 0.036403168458491564, 0.28382313445520896, 0.14829484287959835, -0.031079624469081562, -0.033497677087628595, 0.15541103584109806, 0.27356236612346646, 0.10152801227134962, -0.10866975010139868, -0.004532173018863735, 0.20894959875537703] |
708.4224 | The First Direct Distance and Luminosity Determination for a
Self-Luminous Giant Exoplanet: The Trigonometric Parallax to
2MASS1207334-393254Ab | We present the first trigonometric parallax and distance for a young
planetary mass object. A likely TW Hya cluster member, 2MASSW J1207334-393254Ab
(hereafter 2M1207Ab) is an M8 brown dwarf with a mid to late L type planetary
mass companion. Recent observations of spectral variability have uncovered
clear signs of disk accretion and outflow, constraining the age of the system
to <10 Myr. Because of its late spectral type and the clearly youthful nature
of the system, 2M1207b is very likely a planetary mass object. We have measured
the first accurate distance and luminosity for a self-luminous planetary mass
object. Our parallax measurements are accurate to <2 mas (1sigma) for 2M1207Ab.
With 11 total epochs of data taken from January 2006 through April 2 007 (475
images for 2M1207Ab), we determine a distance of 58.8+-7.0 pc (17.0{+2.3}{-1.8}
mas, 1.28sigma) to 2M1207Ab and a calculated luminosity of 0.68-2.2x10^-5 Lsun
for 2M1207b. Hence 2M1207Ab is a clear member of the TW Hya cluster in terms of
its distance, proper motions, and youthful nature. However, as previously noted
by Mohanty and co-workers, 2M1207b's luminosity appears low compared to its
temperature according to evolutionary models.
| astro-ph | we present the first trigonometric parallax and distance for a young planetary mass object a likely tw hya cluster member 2massw j1207334393254ab hereafter 2m1207ab is an m8 brown dwarf with a mid to late l type planetary mass companion recent observations of spectral variability have uncovered clear signs of disk accretion and outflow constraining the age of the system to 10 myr because of its late spectral type and the clearly youthful nature of the system 2m1207b is very likely a planetary mass object we have measured the first accurate distance and luminosity for a selfluminous planetary mass object our parallax measurements are accurate to 2 mas 1sigma for 2m1207ab with 11 total epochs of data taken from january 2006 through april 2 007 475 images for 2m1207ab we determine a distance of 58870 pc 1702318 mas 128sigma to 2m1207ab and a calculated luminosity of 06822x105 lsun for 2m1207b hence 2m1207ab is a clear member of the tw hya cluster in terms of its distance proper motions and youthful nature however as previously noted by mohanty and coworkers 2m1207bs luminosity appears low compared to its temperature according to evolutionary models | [['we', 'present', 'the', 'first', 'trigonometric', 'parallax', 'and', 'distance', 'for', 'a', 'young', 'planetary', 'mass', 'object', 'a', 'likely', 'tw', 'hya', 'cluster', 'member', '2massw', 'j1207334393254ab', 'hereafter', '2m1207ab', 'is', 'an', 'm8', 'brown', 'dwarf', 'with', 'a', 'mid', 'to', 'late', 'l', 'type', 'planetary', 'mass', 'companion', 'recent', 'observations', 'of', 'spectral', 'variability', 'have', 'uncovered', 'clear', 'signs', 'of', 'disk', 'accretion', 'and', 'outflow', 'constraining', 'the', 'age', 'of', 'the', 'system', 'to', '10', 'myr', 'because', 'of', 'its', 'late', 'spectral', 'type', 'and', 'the', 'clearly', 'youthful', 'nature', 'of', 'the', 'system', '2m1207b', 'is', 'very', 'likely', 'a', 'planetary', 'mass', 'object', 'we', 'have', 'measured', 'the', 'first', 'accurate', 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0.07435455021534479, -0.12470209611321638, -0.10073591806576587, 0.07933802140557775, 0.40989813220727706, -0.16267019992665155, -0.39033448877339455, 0.08710132897186154, -0.2601605642602131, -0.005174681306411715, 0.1789993827361563, -0.1158646684716982, -0.016849975859298393, 0.13715784214614163, -0.041832833361062825, -0.06129284347875712, -0.21958222238184966, 0.26581431583042064, 0.0910963784073196, 0.032206818473755644, -0.03563792414143276, 0.08177404898109987, -0.11402425945340403, -0.0895257790259126, -0.08282827714154574, -0.1732484579248273, 0.028511627367191504, 0.21500033999467158, 0.12403452143695651, 0.20399531059007606, -0.24860235120918925, -0.1579288237264099, 0.04270099762462727, 0.16449267735942671, -0.042578396805607634, -0.011883494798498958, -0.2952102861492439, 0.08484426759051807, -0.21972205011811835, -0.1733575622303128, 0.10203123185554273, 0.19244865368882133, -0.015317947217187359, -0.25235419022931677, 0.17228118354282546, 0.01710317493416369, 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0.19376796449954703, 0.123092729737476, -0.23132094531035324, 0.06480782720546299, 0.014109422771624573] |
708.4225 | Searches for Mixing and CP Violation in the D0-D0bar System | We review searches for mixing and CP violation in the D0-D0bar system and
discuss the first evidence for mixing recently obtained by the Belle and BABAR
collaborations. We also present world average values for the mixing parameters
x=Delta m/Gamma and y=Delta Gamma/(2 Gamma) as calculated by the Heavy Flavors
Averaging Group.
| hep-ex | we review searches for mixing and cp violation in the d0d0bar system and discuss the first evidence for mixing recently obtained by the belle and babar collaborations we also present world average values for the mixing parameters xdelta mgamma and ydelta gamma2 gamma as calculated by the heavy flavors averaging group | [['we', 'review', 'searches', 'for', 'mixing', 'and', 'cp', 'violation', 'in', 'the', 'd0d0bar', 'system', 'and', 'discuss', 'the', 'first', 'evidence', 'for', 'mixing', 'recently', 'obtained', 'by', 'the', 'belle', 'and', 'babar', 'collaborations', 'we', 'also', 'present', 'world', 'average', 'values', 'for', 'the', 'mixing', 'parameters', 'xdelta', 'mgamma', 'and', 'ydelta', 'gamma2', 'gamma', 'as', 'calculated', 'by', 'the', 'heavy', 'flavors', 'averaging', 'group']] | [-0.1018937804973593, 0.270813946265216, -0.03529977126448762, 0.11457385232343394, -0.041543101307516005, -0.14027992058910577, 0.133323543791787, 0.3062792044936442, -0.1620275597179345, -0.2971427781032581, 0.05491804310997181, -0.3372141038725043, -0.04631828993339749, 0.15887994447029105, 0.07363590702195377, 0.09905248038344058, 0.1311236023172444, -0.03848809093766499, -0.12174485861232467, -0.14864593033916226, 0.30142320449664894, 0.028996091993416056, 0.1951825438870811, 0.07595896459750685, 0.02008302408434889, 0.002776204969040027, -0.08360553959010206, -0.041942367074536344, -0.18126014981637983, 0.014238668788297503, 0.15543109620464782, 0.1641457930718567, 0.08100276615689783, -0.30127704309701336, -0.12906143576929383, 0.1736713740426828, 0.151509074439459, 0.0006046091188110557, -0.12348353046485606, -0.40491023550138755, 0.06072665451496255, -0.22850289412171526, -0.1112864405537645, -0.09630398642198712, 0.07215634788222172, -0.06792229448682537, -0.35630131994976716, 0.09135145233320895, -0.09683009850628235, 0.08787529325277052, 0.027759217931067243, -0.303587937533545, 0.016988844081175094, 0.05605907802123065, 0.1263662466194992, -0.000761332054275508, 0.09858544242075261, -0.11705543938111149, -0.15439208226241902, 0.38250858300164636, -0.10137607324777134, -0.11619298185641859, 0.09164637396586876, -0.22689824657259033, -0.20447219702798655, 0.045856603051481, 0.15030599189191765, 0.020885671014148816, -0.18340376516183218, 0.13272054331358887, -0.07086419742714212, 0.12297064522007371, 0.08055404551765498, 0.02500360550395414, 0.11066281578193109, 0.1826581377901283, 0.016811262040088575, 0.0017345122372110684, -0.0814925706488829, -0.047341152002998425, -0.4178698292257739, -0.14300230846685522, -0.1049760164528647, 0.06300358857740374, -0.0879664626600239, -0.007093131578728265, 0.3551146283599676, 0.0731266205126018, 0.2635449337608674, 0.04907731869367554, 0.24782687445700752, 0.08683753447999776, 0.024749555693501058, 0.07770728615258693, 0.31472520285523403, 0.1679795140893582, 0.1273572251529378, -0.2848838291076176, 0.04926769713889442, 0.07214470945444762] |
708.4226 | Effects of Dust Geometry in Lyman Alpha Galaxies at z = 4.4 | Equivalent widths (EWs) observed in high-redshift Lyman alpha galaxies could
be stronger than the EW intrinsic to the stellar population if dust is present
residing in clumps in the inter-stellar medium (ISM). In this scenario,
continuum photons could be extinguished while the Lyman alpha photons would be
resonantly scattered by the clumps, eventually escaping the galaxy. We
investigate this radiative transfer scenario with a new sample of six Lyman
alpha galaxy candidates in the GOODS CDF-S, selected at z = 4.4 with
ground-based narrow-band imaging obtained at CTIO. Grism spectra from the HST
PEARS survey confirm that three objects are at z = 4.4, and that another object
contains an active galactic nuclei (AGN). If we assume the other five (non-AGN)
objects are at z = 4.4, they have rest-frame EWs from 47 -- 190 A. We present
results of stellar population studies of these objects, constraining their
rest-frame UV with HST and their rest-frame optical with Spitzer. Out of the
four objects which we analyzed, three objects were best-fit to contain stellar
populations with ages on the order of 1 Myr and stellar masses from 3 - 10 x
10^8 solar masses, with dust in the amount of A_1200 = 0.9 - 1.8 residing in a
quasi-homogeneous distribution. However, one object (with a rest EW ~ 150 A)
was best fit by an 800 Myr, 6.6 x 10^9 solar mass stellar population with a
smaller amount of dust (A_1200 = 0.4) attenuating the continuum only. In this
object, the EW was enhanced ~ 50% due to this dust. This suggests that large EW
Lyman alpha galaxies are a diverse population. Preferential extinction of the
continuum in a clumpy ISM deserves further investigation as a possible cause of
the overabundance of large-EW objects that have been seen in narrow-band
surveys in recent years.
| astro-ph | equivalent widths ews observed in highredshift lyman alpha galaxies could be stronger than the ew intrinsic to the stellar population if dust is present residing in clumps in the interstellar medium ism in this scenario continuum photons could be extinguished while the lyman alpha photons would be resonantly scattered by the clumps eventually escaping the galaxy we investigate this radiative transfer scenario with a new sample of six lyman alpha galaxy candidates in the goods cdfs selected at z 44 with groundbased narrowband imaging obtained at ctio grism spectra from the hst pears survey confirm that three objects are at z 44 and that another object contains an active galactic nuclei agn if we assume the other five nonagn objects are at z 44 they have restframe ews from 47 190 a we present results of stellar population studies of these objects constraining their restframe uv with hst and their restframe optical with spitzer out of the four objects which we analyzed three objects were bestfit to contain stellar populations with ages on the order of 1 myr and stellar masses from 3 10 x 108 solar masses with dust in the amount of a_1200 09 18 residing in a quasihomogeneous distribution however one object with a rest ew 150 a was best fit by an 800 myr 66 x 109 solar mass stellar population with a smaller amount of dust a_1200 04 attenuating the continuum only in this object the ew was enhanced 50 due to this dust this suggests that large ew lyman alpha galaxies are a diverse population preferential extinction of the continuum in a clumpy ism deserves further investigation as a possible cause of the overabundance of largeew objects that have been seen in narrowband surveys in recent years | [['equivalent', 'widths', 'ews', 'observed', 'in', 'highredshift', 'lyman', 'alpha', 'galaxies', 'could', 'be', 'stronger', 'than', 'the', 'ew', 'intrinsic', 'to', 'the', 'stellar', 'population', 'if', 'dust', 'is', 'present', 'residing', 'in', 'clumps', 'in', 'the', 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708.4227 | Suzaku Observations of the North Polar Spur: Evidence for Nitrogen
Enhancement | We present observations of the North Polar Spur (NPS) using the X-ray Imaging
Spectrometer (XIS) aboard the Suzaku X-ray satellite. The NPS is a large region
of enhanced soft X-ray and radio emission projected above the plane of the
Galaxy, likely produced by a series of supernovae and stellar winds from the
nearby Sco-Cen OB association. The exceptional sensitivity and spectral
resolution of the XIS below 1 keV allow unprecedented probing of low-energy
spectral lines, including CVI (0.37 keV) and NVII (0.50 keV), and we have
detected highly-ionized nitrogen toward the NPS for the first time. For this
single pointing toward the brightest 3/4 keV emission (l = 26.8 deg, b = +22.0
deg), the best-fit NPS emission model implies a hot (kT ~ 0.3 keV), collisional
ionization equilibrium (CIE) plasma with depleted C, O, Ne, Mg, and Fe
abundances of less than 0.5 solar, but an enhanced N abundance, with N/O = 4.0
+0.4,-0.5 times solar. The temperature and total thermal energy of the gas
suggest heating by one or more supernovae, while the enhanced nitrogen
abundance is best explained by enrichment from stellar material that has been
processed by the CNO cycle. Due to the time required to develop AGB stars, we
conclude that this N/O enhancement cannot be caused by the Sco-Cen OB
association, but may result from a previous enrichment episode in the solar
neighborhood.
| astro-ph | we present observations of the north polar spur nps using the xray imaging spectrometer xis aboard the suzaku xray satellite the nps is a large region of enhanced soft xray and radio emission projected above the plane of the galaxy likely produced by a series of supernovae and stellar winds from the nearby scocen ob association the exceptional sensitivity and spectral resolution of the xis below 1 kev allow unprecedented probing of lowenergy spectral lines including cvi 037 kev and nvii 050 kev and we have detected highlyionized nitrogen toward the nps for the first time for this single pointing toward the brightest 34 kev emission l 268 deg b 220 deg the bestfit nps emission model implies a hot kt 03 kev collisional ionization equilibrium cie plasma with depleted c o ne mg and fe abundances of less than 05 solar but an enhanced n abundance with no 40 0405 times solar the temperature and total thermal energy of the gas suggest heating by one or more supernovae while the enhanced nitrogen abundance is best explained by enrichment from stellar material that has been processed by the cno cycle due to the time required to develop agb stars we conclude that this no enhancement cannot be caused by the scocen ob association but may result from a previous enrichment episode in the solar neighborhood | [['we', 'present', 'observations', 'of', 'the', 'north', 'polar', 'spur', 'nps', 'using', 'the', 'xray', 'imaging', 'spectrometer', 'xis', 'aboard', 'the', 'suzaku', 'xray', 'satellite', 'the', 'nps', 'is', 'a', 'large', 'region', 'of', 'enhanced', 'soft', 'xray', 'and', 'radio', 'emission', 'projected', 'above', 'the', 'plane', 'of', 'the', 'galaxy', 'likely', 'produced', 'by', 'a', 'series', 'of', 'supernovae', 'and', 'stellar', 'winds', 'from', 'the', 'nearby', 'scocen', 'ob', 'association', 'the', 'exceptional', 'sensitivity', 'and', 'spectral', 'resolution', 'of', 'the', 'xis', 'below', '1', 'kev', 'allow', 'unprecedented', 'probing', 'of', 'lowenergy', 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708.4228 | Opacity Build-up in Impulsive Relativistic Sources | Opacity effects in relativistic sources of high-energy gamma-rays, such as
gamma-ray bursts (GRBs) or Blazars, can probe the Lorentz factor of the outflow
and the distance of the emission site from the source, and thus help constrain
the composition of the outflow (protons, pairs, magnetic field) and the
emission mechanism. Most previous works consider the opacity in steady state.
Here we study time dependent effects of the opacity to pair production
($\gamma\gamma \to e^+e^-$) in impulsive relativistic sources. We present a
simple, yet rich, semi-analytic model for the time and energy dependence of the
optical depth, $\tau$, where an ultra-relativistic thin spherical shell emits
isotropically in its own rest frame over a finite range of radii, $R_0 < R <
R_0 + \Delta R$. This is very relevant for GRB internal shocks. We find that in
an impulsive source ($\Delta R <~ R_0$), while the instantaneous spectrum has
an exponential cutoff above the photon energy $\epsilon_1(T)$ where $\tau = 1$,
the time integrated spectrum has a power-law high-energy tail above a photon
energy $\epsilon_{1*} \sim \epsilon_1(\Delta T)$ where $\Delta T$ is the
duration of the emission episode. Furthermore, photons with $\epsilon >
\epsilon_{1*}$ will arrive mainly near the onset of the spike or flare from to
the short emission episode, as in impulsive sources it takes time to build-up
the (target) photon field, and thus $\tau(\epsilon)$ initially increases with
time and $\epsilon_1(T)$ decreases with time, so that photons of energy
$\epsilon > \epsilon_{1*}$ are able to escape the source mainly very early on
while $\epsilon_1(T) > \epsilon$. As the source approaches a quasi-steady state
($\Delta R >> R_0$), the time integrated spectrum develops an exponential
cutoff, while the power-law tail becomes increasingly suppressed.
| astro-ph | opacity effects in relativistic sources of highenergy gammarays such as gammaray bursts grbs or blazars can probe the lorentz factor of the outflow and the distance of the emission site from the source and thus help constrain the composition of the outflow protons pairs magnetic field and the emission mechanism most previous works consider the opacity in steady state here we study time dependent effects of the opacity to pair production gammagamma to ee in impulsive relativistic sources we present a simple yet rich semianalytic model for the time and energy dependence of the optical depth tau where an ultrarelativistic thin spherical shell emits isotropically in its own rest frame over a finite range of radii r_0 r r_0 delta r this is very relevant for grb internal shocks we find that in an impulsive source delta r r_0 while the instantaneous spectrum has an exponential cutoff above the photon energy epsilon_1t where tau 1 the time integrated spectrum has a powerlaw highenergy tail above a photon energy epsilon_1 sim epsilon_1delta t where delta t is the duration of the emission episode furthermore photons with epsilon epsilon_1 will arrive mainly near the onset of the spike or flare from to the short emission episode as in impulsive sources it takes time to buildup the target photon field and thus tauepsilon initially increases with time and epsilon_1t decreases with time so that photons of energy epsilon epsilon_1 are able to escape the source mainly very early on while epsilon_1t epsilon as the source approaches a quasisteady state delta r r_0 the time integrated spectrum develops an exponential cutoff while the powerlaw tail becomes increasingly suppressed | [['opacity', 'effects', 'in', 'relativistic', 'sources', 'of', 'highenergy', 'gammarays', 'such', 'as', 'gammaray', 'bursts', 'grbs', 'or', 'blazars', 'can', 'probe', 'the', 'lorentz', 'factor', 'of', 'the', 'outflow', 'and', 'the', 'distance', 'of', 'the', 'emission', 'site', 'from', 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708.4229 | In-vivo measurement of the human soft tissues constitutive laws.
Applications to Computer Aided Surgery | In the 80's, biomechanicians were asked to work on Computer Aided Surgery
applications since orthopaedic surgeons were looking for numerical tools able
to predict risks of fractures. More recently, biomechanicians started to
address soft tissues arguing that most of the human body is made of such
tissues that can move as well as deform during surgical gestures [1]. An
intra-operative use of a continuous Finite Element (FE) Model of a given tissue
mainly faces two problems: (1) the numerical simulations have to be
"interactive", i.e. sufficiently fast to provide results during surgery (which
can be a strong issue in the context of hyperelastic models for example) and
(2) during the intervention, the surgeon needs a device that can be used to
provide to the model an estimation of the patient-specific constitutive
behaviour of the soft tissues. This work proposes an answer to the second
point, with the design of a new aspiration device aiming at characterizing the
in vivo constitutive laws of human soft tissues. The device was defined in
order to permit sterilization as well an easy intra-operative use.
| physics.med-ph | in the 80s biomechanicians were asked to work on computer aided surgery applications since orthopaedic surgeons were looking for numerical tools able to predict risks of fractures more recently biomechanicians started to address soft tissues arguing that most of the human body is made of such tissues that can move as well as deform during surgical gestures 1 an intraoperative use of a continuous finite element fe model of a given tissue mainly faces two problems 1 the numerical simulations have to be interactive ie sufficiently fast to provide results during surgery which can be a strong issue in the context of hyperelastic models for example and 2 during the intervention the surgeon needs a device that can be used to provide to the model an estimation of the patientspecific constitutive behaviour of the soft tissues this work proposes an answer to the second point with the design of a new aspiration device aiming at characterizing the in vivo constitutive laws of human soft tissues the device was defined in order to permit sterilization as well an easy intraoperative use | [['in', 'the', '80s', 'biomechanicians', 'were', 'asked', 'to', 'work', 'on', 'computer', 'aided', 'surgery', 'applications', 'since', 'orthopaedic', 'surgeons', 'were', 'looking', 'for', 'numerical', 'tools', 'able', 'to', 'predict', 'risks', 'of', 'fractures', 'more', 'recently', 'biomechanicians', 'started', 'to', 'address', 'soft', 'tissues', 'arguing', 'that', 'most', 'of', 'the', 'human', 'body', 'is', 'made', 'of', 'such', 'tissues', 'that', 'can', 'move', 'as', 'well', 'as', 'deform', 'during', 'surgical', 'gestures', '1', 'an', 'intraoperative', 'use', 'of', 'a', 'continuous', 'finite', 'element', 'fe', 'model', 'of', 'a', 'given', 'tissue', 'mainly', 'faces', 'two', 'problems', '1', 'the', 'numerical', 'simulations', 'have', 'to', 'be', 'interactive', 'ie', 'sufficiently', 'fast', 'to', 'provide', 'results', 'during', 'surgery', 'which', 'can', 'be', 'a', 'strong', 'issue', 'in', 'the', 'context', 'of', 'hyperelastic', 'models', 'for', 'example', 'and', '2', 'during', 'the', 'intervention', 'the', 'surgeon', 'needs', 'a', 'device', 'that', 'can', 'be', 'used', 'to', 'provide', 'to', 'the', 'model', 'an', 'estimation', 'of', 'the', 'patientspecific', 'constitutive', 'behaviour', 'of', 'the', 'soft', 'tissues', 'this', 'work', 'proposes', 'an', 'answer', 'to', 'the', 'second', 'point', 'with', 'the', 'design', 'of', 'a', 'new', 'aspiration', 'device', 'aiming', 'at', 'characterizing', 'the', 'in', 'vivo', 'constitutive', 'laws', 'of', 'human', 'soft', 'tissues', 'the', 'device', 'was', 'defined', 'in', 'order', 'to', 'permit', 'sterilization', 'as', 'well', 'an', 'easy', 'intraoperative', 'use']] | [-0.024413028859475817, 0.09571402437436875, -0.08987529642796249, 0.03056995480503165, -0.1102339113497416, -0.17509864075266326, -0.002204504253845034, 0.4009752009074423, -0.2526544653725538, -0.31593168883720474, 0.13533843513525856, -0.2544123040240132, -0.20716010291506065, 0.2162201865131475, -0.16488460114087095, 0.0986001854271921, 0.04940191881791322, 0.020480200434116688, 0.010411680421302765, -0.23261708871257397, 0.24932410612341352, 0.050371646299026906, 0.23210083355792285, 0.06189602941504858, 0.09350970831537472, 0.00827811671986004, -0.005809991262078787, 0.02528801818870092, -0.10601625413815537, 0.12833594836116757, 0.3290047660385027, 0.13992257063339852, 0.3163267931367239, -0.5132741025345546, -0.24259484675353174, 0.07516688030746797, 0.13605531731429457, 0.08739516149036942, -0.017156748781049377, -0.2670639105928601, 0.09312689928547217, -0.16158670099881176, -0.11924993252025896, -0.09499903304470975, 0.0056127170074647395, -0.012741159305487906, -0.2745473719505447, 0.0261887388586412, 0.03661890836626166, 0.10849993035008901, -0.0842648077356561, -0.042747721097594275, 0.013568685672591242, 0.23355651390804189, 0.06837555364688924, 0.03821570942507994, 0.1626847345549404, -0.17739764930249724, -0.12215237016397204, 0.38409716149090967, 0.05865219143399801, -0.18575214759938502, 0.21166904750437046, -0.09547456722115323, -0.10658839946413894, 0.12416007989995297, 0.2012599955150711, 0.10865916981063574, -0.18876487610412349, -0.0066388414841108655, 0.028283769158866216, 0.1843811857425464, 0.06548258447051676, -0.09322814073601968, 0.18260807016069133, 0.20277059894431843, 0.0021656909421232814, 0.13979600467182843, -0.08834771346954859, 0.004862848821022872, -0.27021839728008623, -0.20447563792557946, -0.15466437320188317, 0.023835704317891948, -0.05937611747242372, -0.17660389447668462, 0.36316568909076913, 0.15851135310204176, 0.16957306003608752, 0.035664273913180604, 0.2916793497436251, 0.043904810456501506, 0.07445035491327054, 0.002189288751661694, 0.2329357317151774, 0.0578081014407851, 0.14327654752911728, -0.16845549350186498, 0.10161513131729254, 0.05013841573211752] |
708.423 | Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces
via Linear Syzygies | We show that the implicit equation of a surface in 3-dimensional projective
space parametrized by bi-homogeneous polynomials of bi-degree (d,d), for a
given positive integer d, can be represented and computed from the linear
syzygies of its parametrization if the base points are isolated and form
locally a complete intersection.
| math.AG cs.SC math.AC | we show that the implicit equation of a surface in 3dimensional projective space parametrized by bihomogeneous polynomials of bidegree dd for a given positive integer d can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection | [['we', 'show', 'that', 'the', 'implicit', 'equation', 'of', 'a', 'surface', 'in', '3dimensional', 'projective', 'space', 'parametrized', 'by', 'bihomogeneous', 'polynomials', 'of', 'bidegree', 'dd', 'for', 'a', 'given', 'positive', 'integer', 'd', 'can', 'be', 'represented', 'and', 'computed', 'from', 'the', 'linear', 'syzygies', 'of', 'its', 'parametrization', 'if', 'the', 'base', 'points', 'are', 'isolated', 'and', 'form', 'locally', 'a', 'complete', 'intersection']] | [-0.20426937365904452, 0.0666894218698144, -0.0831035309121944, 0.03721271893940866, -0.054682976957410576, -0.15636242240667342, 0.010492204073816538, 0.3001565452106297, -0.3451938408613205, -0.18917337402701379, 0.06428925409680232, -0.24624349121004344, -0.16037282606586814, 0.19229803754016758, -0.03447131256572902, 0.023915367404697463, 0.059231003494933245, 0.08148104499094189, -0.1442819405486807, -0.3000961715448648, 0.4105127629265189, -0.08571203175932168, 0.12811907461378724, 0.010147038865834474, 0.1631656403793022, 0.012473033023998142, -0.026894961576908828, 0.0750985842285445, -0.12371895582022262, 0.1253114952519536, 0.32574318774044514, 0.13723758962005378, 0.14641249870881437, -0.4090671901777387, -0.16363120050169527, 0.1971300419420004, 0.126144027885166, 0.0319486621581018, 0.006371283885091544, -0.23475521119311452, 0.12375349126756191, -0.12171911332756281, -0.17992837536148726, -0.08160739373415708, 0.061247141463682056, 0.07427557160146535, -0.30415007114410403, 0.017894701613113285, 0.08160011641681195, 0.11949248125776649, -0.052203422898892314, -0.12348788198083639, -0.1476654714345932, 0.039239673940464855, -0.1007484033331275, 0.07986974416067824, 0.03131762744858861, -0.07091779939830303, -0.0945169669482857, 0.3618230042606592, -0.08339224547147751, -0.3064471005648375, 0.07894016629084945, -0.18181645187549292, -0.06879051573108881, 0.16575763557106257, 0.16421372020617128, 0.1856765066832304, -0.026205977899953724, 0.18330804556375369, -0.10855634601786733, 0.09792590126860887, 0.13440773443318904, -0.05612378817051649, 0.18838303880766033, 0.07938069887459279, 0.040009521758183834, 0.10597082467516884, -0.000774504654109478, -0.03688518973998725, -0.37722166620194914, -0.20241896726191044, -0.21997541995253414, 0.14635654676705598, -0.1291401474265149, -0.1545996283367276, 0.36967205051798374, -0.04390961402095854, 0.24611831976100804, 0.0761383373849094, 0.23599647582042962, 0.10974613202735782, -0.0038990035373717546, 0.11835654957219958, 0.10893000428099185, 0.13568731012288482, -0.05727211564779282, -0.1656043478799984, 0.027508632419630884, 0.18844777180813252] |
708.4231 | TASI Lectures on the Cosmological Constant | The energy density of the vacuum, Lambda, is at least 60 orders of magnitude
smaller than several known contributions to it. Approaches to this problem are
tightly constrained by data ranging from elementary observations to precision
experiments. Absent overwhelming evidence to the contrary, dark energy can only
be interpreted as vacuum energy, so the venerable assumption that Lambda=0
conflicts with observation. The possibility remains that Lambda is
fundamentally variable, though constant over large spacetime regions. This can
explain the observed value, but only in a theory satisfying a number of
restrictive kinematic and dynamical conditions. String theory offers a concrete
realization through its landscape of metastable vacua.
| hep-th astro-ph gr-qc hep-ph | the energy density of the vacuum lambda is at least 60 orders of magnitude smaller than several known contributions to it approaches to this problem are tightly constrained by data ranging from elementary observations to precision experiments absent overwhelming evidence to the contrary dark energy can only be interpreted as vacuum energy so the venerable assumption that lambda0 conflicts with observation the possibility remains that lambda is fundamentally variable though constant over large spacetime regions this can explain the observed value but only in a theory satisfying a number of restrictive kinematic and dynamical conditions string theory offers a concrete realization through its landscape of metastable vacua | [['the', 'energy', 'density', 'of', 'the', 'vacuum', 'lambda', 'is', 'at', 'least', '60', 'orders', 'of', 'magnitude', 'smaller', 'than', 'several', 'known', 'contributions', 'to', 'it', 'approaches', 'to', 'this', 'problem', 'are', 'tightly', 'constrained', 'by', 'data', 'ranging', 'from', 'elementary', 'observations', 'to', 'precision', 'experiments', 'absent', 'overwhelming', 'evidence', 'to', 'the', 'contrary', 'dark', 'energy', 'can', 'only', 'be', 'interpreted', 'as', 'vacuum', 'energy', 'so', 'the', 'venerable', 'assumption', 'that', 'lambda0', 'conflicts', 'with', 'observation', 'the', 'possibility', 'remains', 'that', 'lambda', 'is', 'fundamentally', 'variable', 'though', 'constant', 'over', 'large', 'spacetime', 'regions', 'this', 'can', 'explain', 'the', 'observed', 'value', 'but', 'only', 'in', 'a', 'theory', 'satisfying', 'a', 'number', 'of', 'restrictive', 'kinematic', 'and', 'dynamical', 'conditions', 'string', 'theory', 'offers', 'a', 'concrete', 'realization', 'through', 'its', 'landscape', 'of', 'metastable', 'vacua']] | [-0.12663140221255195, 0.1838621583497413, -0.07686145722792075, 0.11220004168452224, -0.09035534387732917, -0.13565202019608222, 0.052710426011705926, 0.32971547864743067, -0.25750388089288895, -0.3695462128130075, 0.10221032231554354, -0.25886255255508644, -0.05689628293496234, 0.16695708893326539, -0.02659533351276801, 0.007956760060194462, 0.034126183451653816, 0.05288719741853876, -0.049546478616474106, -0.22084630679373987, 0.2992858235391344, 0.06521211164159195, 0.26182554391752405, 0.04283200467666872, 0.09664730763902765, -0.06798433637568535, 0.006258491248275353, 0.05397760271851983, -0.15886376188291676, 0.0788713898988458, 0.24392403934203158, 0.11636966172819, 0.2524497843169059, -0.4119078362660883, -0.23694312443116802, 0.14995567847117258, 0.14439775037065705, 0.12933415061332912, -0.017704465861702077, -0.24284484585590452, 0.08464529894283651, -0.1211167702682003, -0.16882486902525493, -0.059819646014301016, 0.022798528067906883, -0.07000257463029055, -0.25006316083474694, 0.11234270309742157, -0.009487585139854716, -0.006500619454918621, -0.06039797924959458, -0.12771555876672686, -0.021564037082107548, 0.01525494148606591, 0.13019558094076325, 0.04771879993413932, 0.13891160841073805, -0.16668485789168103, -0.10487838606589482, 0.37411299872725645, -0.06372981580481843, -0.14858592737239795, 0.19014664759607028, -0.14579644526363672, -0.12694144239823255, 0.1879846227733923, 0.06638450402370437, 0.11742397348606463, -0.11308328445269683, 0.13603600293830925, -0.03928351072294237, 0.2140126270307315, 0.0960313475181601, 0.09410155292112972, 0.23866942447444825, 0.1514175466966824, 0.06100995870629134, 0.073538464932511, -0.035257202790719325, -0.13764219648404935, -0.3346445629390601, -0.07454329617071252, -0.17419486762694666, 0.08438280692202187, -0.0832519040650538, -0.12486218065719738, 0.32630851102512, 0.1440238245366039, 0.20708022777548182, 0.030020220738304692, 0.287246970255276, 0.10025820506749693, 0.09471588965862224, 0.034987656652022185, 0.27794366855844505, 0.09281580765823025, 0.07541937669891446, -0.16546203873868787, 0.04265360349341008, -0.02896528094615265] |
708.4232 | Heavy quark diffusion in perturbative QCD at next-to-leading order | We compute the momentum diffusion coefficient of a nonrelativistic heavy
quark in a hot QCD plasma, to next-to-leading order in the weak coupling
expansion. Corrections arise at O(g); physically they represent interference
between overlapping scatterings, as well as soft, electric scale ($p\sim gT$)
gauge field physics, which we treat using the hard thermal loop (HTL) effective
theory. In 3-color, 3-flavor QCD, the momentum diffusion constant of a
fundamental representation heavy quark at NLO is $\kappa = \frac{16\pi}{3}
\alpha_s^2 T^3 (\ln \frac{1}{g} + 0.07428 + 1.8869 g)$. The convergence of the
weak coupling expansion is poor.
| hep-ph nucl-th | we compute the momentum diffusion coefficient of a nonrelativistic heavy quark in a hot qcd plasma to nexttoleading order in the weak coupling expansion corrections arise at og physically they represent interference between overlapping scatterings as well as soft electric scale psim gt gauge field physics which we treat using the hard thermal loop htl effective theory in 3color 3flavor qcd the momentum diffusion constant of a fundamental representation heavy quark at nlo is kappa frac16pi3 alpha_s2 t3 ln frac1g 007428 18869 g the convergence of the weak coupling expansion is poor | [['we', 'compute', 'the', 'momentum', 'diffusion', 'coefficient', 'of', 'a', 'nonrelativistic', 'heavy', 'quark', 'in', 'a', 'hot', 'qcd', 'plasma', 'to', 'nexttoleading', 'order', 'in', 'the', 'weak', 'coupling', 'expansion', 'corrections', 'arise', 'at', 'og', 'physically', 'they', 'represent', 'interference', 'between', 'overlapping', 'scatterings', 'as', 'well', 'as', 'soft', 'electric', 'scale', 'psim', 'gt', 'gauge', 'field', 'physics', 'which', 'we', 'treat', 'using', 'the', 'hard', 'thermal', 'loop', 'htl', 'effective', 'theory', 'in', '3color', '3flavor', 'qcd', 'the', 'momentum', 'diffusion', 'constant', 'of', 'a', 'fundamental', 'representation', 'heavy', 'quark', 'at', 'nlo', 'is', 'kappa', 'frac16pi3', 'alpha_s2', 't3', 'ln', 'frac1g', '007428', '18869', 'g', 'the', 'convergence', 'of', 'the', 'weak', 'coupling', 'expansion', 'is', 'poor']] | [-0.13990795358314356, 0.27911437964171504, -0.11138555437870575, 0.13689863648569064, -0.07350634269709333, -0.10200977470631596, 0.01481267799011149, 0.34310357437960887, -0.2510515783672755, -0.2365915026055293, -0.02674103891241542, -0.30769561653893984, 0.016763662992652213, 0.0367242939393507, 0.06532165663463346, 0.04311440711359629, -0.013956819477836403, 0.04027644747847252, -0.06896980544892296, -0.17327472844862202, 0.26489435766726793, 0.03860706635855473, 0.19822548291112266, 0.1694606382588155, 0.04531093750651298, 0.013115906428671284, -0.013629551683918814, -0.005709112407325694, -0.09574048860267385, -0.0028294636619413333, 0.22613470307211234, -0.09928925682037149, 0.15577441925023358, -0.3564875213785118, -0.17564399803601458, 0.02734458522892065, 0.15668347966595647, 0.10209153540722837, -0.002552402885944656, -0.19218035870011937, 0.03214653427915365, -0.24620935881217376, -0.15475732172457396, -0.13975335609199208, -0.02666287066995721, -0.07136817429256573, -0.35233476739167496, 0.1526589933400215, -0.0323767191848163, -0.033435424130535525, 0.05723147473057334, -0.16538545496636228, -0.008837250948182485, 0.07585329415925433, 0.10678786148704338, 0.10950538308328289, 0.1487635753295395, -0.2309014325166184, -0.08529833128696747, 0.4519381733046154, -0.13936987504221793, -0.1264070626871472, 0.13205670706634776, -0.19564654852860094, -0.14899950162141343, 0.1673584215008141, 0.17674479730626086, 0.1476564306289669, -0.14974009263946603, 0.2118215970878144, 0.019811437219339475, 0.1300027705493561, 0.1224203480595953, 0.055265234859157984, 0.19032404230112274, 0.15263989888749013, -0.043986232437224784, 0.049797974710007395, -0.03218235004054947, -0.12100377892866061, -0.41147540595508025, -0.07004507143950361, -0.14631241041476303, 0.10216054254410308, -0.19718212662578632, -0.21985356771374734, 0.30377684102466934, 0.12513193884194734, 0.1935757648178868, 0.0009788910379591451, 0.33431351722840724, 0.1480010652448982, 0.08301081136653848, 0.10901194912371005, 0.2827108659352479, 0.2228414690634759, 0.1372939845225957, -0.328779171806959, -0.0498380234185083, 0.17183126800097107] |
708.4233 | WHIZARD: Simulating Multi-Particle Processes at LHC and ILC | We describe the universal Monte-Carlo event generator WHIZARD.
The program automatically computes complete tree-level matrix elements,
integrates them over phase space, evaluates distributions of observables, and
generates unweighted event samples that can be used directly in detector
simulation. There is no principal limit on the process complexity; using
current hardware, the program has successfully been applied to hard scattering
processes with up to eight particles in the final state. Matrix elements are
computed as helicity amplitudes, so spin and color correlations are retained.
The Standard Model, the MSSM, and many alternative models such as Little Higgs,
anomalous couplings, or effects of extra dimensions or noncommutative SM
extensions have been implemented. Using standard interfaces to PDF,
beamstrahlung, parton shower and hadronization programs, WHIZARD generates
complete physical events and covers physics at hadron, lepton, and photon
colliders.
| hep-ph hep-ex | we describe the universal montecarlo event generator whizard the program automatically computes complete treelevel matrix elements integrates them over phase space evaluates distributions of observables and generates unweighted event samples that can be used directly in detector simulation there is no principal limit on the process complexity using current hardware the program has successfully been applied to hard scattering processes with up to eight particles in the final state matrix elements are computed as helicity amplitudes so spin and color correlations are retained the standard model the mssm and many alternative models such as little higgs anomalous couplings or effects of extra dimensions or noncommutative sm extensions have been implemented using standard interfaces to pdf beamstrahlung parton shower and hadronization programs whizard generates complete physical events and covers physics at hadron lepton and photon colliders | [['we', 'describe', 'the', 'universal', 'montecarlo', 'event', 'generator', 'whizard', 'the', 'program', 'automatically', 'computes', 'complete', 'treelevel', 'matrix', 'elements', 'integrates', 'them', 'over', 'phase', 'space', 'evaluates', 'distributions', 'of', 'observables', 'and', 'generates', 'unweighted', 'event', 'samples', 'that', 'can', 'be', 'used', 'directly', 'in', 'detector', 'simulation', 'there', 'is', 'no', 'principal', 'limit', 'on', 'the', 'process', 'complexity', 'using', 'current', 'hardware', 'the', 'program', 'has', 'successfully', 'been', 'applied', 'to', 'hard', 'scattering', 'processes', 'with', 'up', 'to', 'eight', 'particles', 'in', 'the', 'final', 'state', 'matrix', 'elements', 'are', 'computed', 'as', 'helicity', 'amplitudes', 'so', 'spin', 'and', 'color', 'correlations', 'are', 'retained', 'the', 'standard', 'model', 'the', 'mssm', 'and', 'many', 'alternative', 'models', 'such', 'as', 'little', 'higgs', 'anomalous', 'couplings', 'or', 'effects', 'of', 'extra', 'dimensions', 'or', 'noncommutative', 'sm', 'extensions', 'have', 'been', 'implemented', 'using', 'standard', 'interfaces', 'to', 'pdf', 'beamstrahlung', 'parton', 'shower', 'and', 'hadronization', 'programs', 'whizard', 'generates', 'complete', 'physical', 'events', 'and', 'covers', 'physics', 'at', 'hadron', 'lepton', 'and', 'photon', 'colliders']] | [-0.050816200106163265, 0.19576975446953265, -0.10659620886220149, 0.17917446129815492, -0.07770223813476386, -0.1345322958711121, -0.03403002696318759, 0.4060364369302988, -0.2237413672419886, -0.30452426889980283, 0.043134499846578196, -0.3289659208894052, -0.036178219487407695, 0.15041620817242396, 0.0271595719822303, 0.15212582308298875, 0.10430732127279044, -0.01451807657463683, -0.07595278669118502, -0.239814435787223, 0.25725702471789663, 0.061841692915186285, 0.22646525722962838, 0.04035653727887957, 0.14774462135370683, 0.07263655823620933, -0.07171290712431073, -0.02316068330870217, -0.05814305187264431, 0.015050101545811803, 0.26056900021775853, 0.15920457270134378, 0.07874441596299962, -0.4317149371460632, -0.15506267834937684, 0.12807638202276495, 0.14307867571435592, 0.11437654889800965, -0.03652262856442205, -0.2599761267158168, 0.07031413297065431, -0.24761921436077466, -0.07851930368622696, -0.10188892928331539, -0.03159137830672855, -0.07243399290988843, -0.30973785649985075, 0.011347890966054467, -0.014522203487447566, 0.033522936286128784, 0.09059384370360661, -0.17851285313566526, -0.06518364473142557, 0.08000819170157666, 0.07187972527958832, 0.039129621076777026, 0.20000059063097944, -0.12709730434472913, -0.22957660776942415, 0.36330781126808787, -0.029046089647130832, -0.19126327331522824, 0.16862604305044646, -0.15300709266146575, -0.14723884502449505, 0.17100505443565822, 0.21800267656885639, 0.06546871243734602, -0.19668840512771296, 0.18861272359629058, 0.026243872495575082, 0.17623495539063933, 0.034630491610409486, 0.04612736912116546, 0.21761738796959873, 0.17147419191896915, -0.030707701349510223, 0.10062996364560806, -0.06559973202184428, -0.09984624139550659, -0.3786217991952543, -0.13132923926847676, -0.12285969221998971, 0.01196490448847827, -0.07764641376216551, -0.16063948563662253, 0.4018855630868563, 0.16378151722493822, 0.16922251017143328, 0.01287649510152362, 0.3164405887256618, 0.08544159694574774, 0.130188888752902, 0.06709450937255665, 0.21218072086382933, 0.12620944107572238, 0.10425963917040025, -0.17190183631480774, 0.09274770463471887, 0.09046121202409267] |
708.4234 | Algebraic G-functions associated to matrices over a group-ring | Given a square matrix with elements in the group-ring of a group, one can
consider the sequence formed by the trace (in the sense of the group-ring) of
its powers. We prove that the corresponding generating series is an algebraic
$G$-function (in the sense of Siegel) when the group is free of finite rank.
Consequently, it follows that the norm of such elements is an exactly
computable algebraic number, and their Green function is algebraic. Our proof
uses the notion of rational and algebraic power series in non-commuting
variables and is an easy application of a theorem of Haiman. Haiman's theorem
uses results of linguistics regarding regular and context-free language. On the
other hand, when the group is free abelian of finite rank, then the
corresponding generating series is a $G$-function. We ask whether the latter
holds for general hyperbolic groups. This version has an expanded introduction
following suggestions from Lehner, Voiculescu and others.
| math.CO math.AG | given a square matrix with elements in the groupring of a group one can consider the sequence formed by the trace in the sense of the groupring of its powers we prove that the corresponding generating series is an algebraic gfunction in the sense of siegel when the group is free of finite rank consequently it follows that the norm of such elements is an exactly computable algebraic number and their green function is algebraic our proof uses the notion of rational and algebraic power series in noncommuting variables and is an easy application of a theorem of haiman haimans theorem uses results of linguistics regarding regular and contextfree language on the other hand when the group is free abelian of finite rank then the corresponding generating series is a gfunction we ask whether the latter holds for general hyperbolic groups this version has an expanded introduction following suggestions from lehner voiculescu and others | [['given', 'a', 'square', 'matrix', 'with', 'elements', 'in', 'the', 'groupring', 'of', 'a', 'group', 'one', 'can', 'consider', 'the', 'sequence', 'formed', 'by', 'the', 'trace', 'in', 'the', 'sense', 'of', 'the', 'groupring', 'of', 'its', 'powers', 'we', 'prove', 'that', 'the', 'corresponding', 'generating', 'series', 'is', 'an', 'algebraic', 'gfunction', 'in', 'the', 'sense', 'of', 'siegel', 'when', 'the', 'group', 'is', 'free', 'of', 'finite', 'rank', 'consequently', 'it', 'follows', 'that', 'the', 'norm', 'of', 'such', 'elements', 'is', 'an', 'exactly', 'computable', 'algebraic', 'number', 'and', 'their', 'green', 'function', 'is', 'algebraic', 'our', 'proof', 'uses', 'the', 'notion', 'of', 'rational', 'and', 'algebraic', 'power', 'series', 'in', 'noncommuting', 'variables', 'and', 'is', 'an', 'easy', 'application', 'of', 'a', 'theorem', 'of', 'haiman', 'haimans', 'theorem', 'uses', 'results', 'of', 'linguistics', 'regarding', 'regular', 'and', 'contextfree', 'language', 'on', 'the', 'other', 'hand', 'when', 'the', 'group', 'is', 'free', 'abelian', 'of', 'finite', 'rank', 'then', 'the', 'corresponding', 'generating', 'series', 'is', 'a', 'gfunction', 'we', 'ask', 'whether', 'the', 'latter', 'holds', 'for', 'general', 'hyperbolic', 'groups', 'this', 'version', 'has', 'an', 'expanded', 'introduction', 'following', 'suggestions', 'from', 'lehner', 'voiculescu', 'and', 'others']] | [-0.12837157191636114, 0.09764890074042011, -0.13052610207107915, 0.07501049874828185, -0.10914659050033222, -0.09323973815461814, 0.011881074155665717, 0.3113992544036214, -0.3232616791804019, -0.21175417718296122, 0.11390982626622857, -0.26955458357651996, -0.16517262451665163, 0.22654004341789655, -0.13611051769528007, -0.015522781855883318, 0.006146423183018704, 0.13440350025843878, -0.08220660384569027, -0.29170550444229904, 0.368720974888072, -0.010687589708885009, 0.23312433864830617, 0.033661010613144894, 0.11563389264143528, 0.05402441415028622, -0.06143846394276464, -0.017611666213624276, -0.08611907846305304, 0.15049188486761533, 0.27650973478985297, 0.1348000228051217, 0.2770800976636033, -0.3782147643361966, -0.11895096513696692, 0.1411450372422235, 0.10687700926035933, 0.042078172044175396, -0.02775922543656492, -0.2288632136285789, 0.09971531781038366, -0.18852615945703385, -0.16332931641501364, -0.046411046529999125, 0.0638962236199794, 0.04500166587410616, -0.27563454911593566, 0.014413639144101119, 0.1171979428807201, 0.10985112839753365, -0.024988455516656606, -0.10247400636684947, 0.0011029051005985442, 0.11191952445842145, 0.031618386172151264, 0.031537605842648, 0.06806997593201987, -0.08548712265199994, -0.10515377458711095, 0.3632329405200752, -0.03968913778783632, -0.20685814541171899, 0.13503107362632433, -0.1365997309693704, -0.16824005788657814, 0.0823071775126404, 0.06035614877715465, 0.1363377086942949, -0.0643103789190789, 0.19066200989363533, -0.13824624527100618, 0.1433951636978921, 0.09795509044734108, -0.002759660770678167, 0.11971958601913814, 0.06962979550914863, 0.07762840753965466, 0.154306143717674, 0.03973398086548384, -0.047054269744533826, -0.32202223674454666, -0.20552258848291277, -0.2095412500187537, 0.0940890443608068, -0.1151429957179345, -0.2003048680701547, 0.41212470689183706, 0.05353202910597932, 0.1358914077735518, 0.12002192495516259, 0.23260655327905694, 0.16285159039067698, 0.03342550223982022, 0.07135872061170831, 0.10009515696725288, 0.20236074541961507, 0.002876619583860572, -0.15799343138298189, 0.040005212870438574, 0.1967792331646257] |
708.4235 | Minimal Distortion Bending and Morphing of Compact Manifolds | Let $M$ and $N$ be compact smooth oriented Riemannian $n$-manifolds without
boundary embedded in $\mathbb{R}^{n+1}$. Several problems about minimal
distortion bending and morphing of $M$ to $N$ are posed. Cost functionals that
measure distortion due to stretching or bending produced by a diffeomorphism
$h:M \to N$ are defined, and new results on the existence of minima of these
cost functionals are presented. In addition, the definition of a morph between
two manifolds $M$ and $N$ is given, and the theory of minimal distortion
morphing of compact manifolds is reviewed.
| math.OC math.DG | let m and n be compact smooth oriented riemannian nmanifolds without boundary embedded in mathbbrn1 several problems about minimal distortion bending and morphing of m to n are posed cost functionals that measure distortion due to stretching or bending produced by a diffeomorphism hm to n are defined and new results on the existence of minima of these cost functionals are presented in addition the definition of a morph between two manifolds m and n is given and the theory of minimal distortion morphing of compact manifolds is reviewed | [['let', 'm', 'and', 'n', 'be', 'compact', 'smooth', 'oriented', 'riemannian', 'nmanifolds', 'without', 'boundary', 'embedded', 'in', 'mathbbrn1', 'several', 'problems', 'about', 'minimal', 'distortion', 'bending', 'and', 'morphing', 'of', 'm', 'to', 'n', 'are', 'posed', 'cost', 'functionals', 'that', 'measure', 'distortion', 'due', 'to', 'stretching', 'or', 'bending', 'produced', 'by', 'a', 'diffeomorphism', 'hm', 'to', 'n', 'are', 'defined', 'and', 'new', 'results', 'on', 'the', 'existence', 'of', 'minima', 'of', 'these', 'cost', 'functionals', 'are', 'presented', 'in', 'addition', 'the', 'definition', 'of', 'a', 'morph', 'between', 'two', 'manifolds', 'm', 'and', 'n', 'is', 'given', 'and', 'the', 'theory', 'of', 'minimal', 'distortion', 'morphing', 'of', 'compact', 'manifolds', 'is', 'reviewed']] | [-0.22720204519233508, 0.1331068267103996, -0.031159410930730488, 0.047627543765015566, -0.06105600223154499, -0.1767357962907114, -0.03130011153381234, 0.3832403408112318, -0.27184613842224137, -0.3243872839120332, 0.10160892869586523, -0.30902755462428494, -0.1296862292684238, 0.17199404797715584, -0.1502695878695571, 0.043059261526200876, 0.04539480395981351, 0.017461062487465945, -0.09419836901688132, -0.24841680621278336, 0.3639877924271807, -0.03800812200381515, 0.1945254122419806, 0.08184090110190799, 0.08529683292498079, -0.027367320136700787, 0.0006539719702487581, 0.08887126459740102, -0.14885055512659778, 0.18367694700503032, 0.24201342283507413, 0.07833327388056041, 0.21298763941021195, -0.4228937348790383, -0.21870698820632162, 0.14028035346000048, 0.07186131513667073, -0.029907668323329327, -0.03371382216017777, -0.2830411328023739, 0.12782767919425883, -0.022476918681451442, -0.14109856716430422, -0.05426611244322711, 0.05699669358351927, 0.013564011218089067, -0.23675154233246706, 0.016392807931419503, 0.10669648776869446, 0.055951789167992184, -0.0786951092448546, -0.11291233014336295, -0.0922776397704827, 0.10281776385957354, 0.03690665658416875, 0.12030508480652162, 0.10189217696845364, -0.03613656178493513, -0.0938996629308114, 0.3835719833883007, -0.08667667283352172, -0.28222017216213635, 0.14489918546437214, -0.11472393635639482, -0.1032607026576075, 0.14563726493565554, 0.1877387882827708, 0.15642511543786425, -0.0846672078510851, 0.1740273577494683, 0.007817977098905053, 0.10934205959142929, 0.13744963639091407, 0.010326061612309029, 0.13615479152858928, 0.1233247219155846, 0.1558982823201026, 0.12274964006350826, -0.025840070689871406, -0.04505464685766884, -0.3573845355677303, -0.1662877487500062, -0.20433348215844357, 0.1255552776123847, -0.1406006861438522, -0.18044988929262656, 0.29859840580042496, -0.018161696088866572, 0.22668828978464844, 0.11169928347880251, 0.21771322734905094, 0.019309347123954067, 0.018769209873548635, 0.09164452315255832, 0.13393192356347702, 0.1754500182957671, -0.03236266727208714, -0.1543691310994955, -0.03230808469142472, 0.1106060064251252] |
708.4236 | Anticipating a New Golden Age | The standard model of fundamental interactions is remarkably successful, but
it leaves an unfinished agenda. Several major questions seem ripe for
exploration in the near future. I anticipate that the coming decade will be a
Golden Age of discovery in fundamental physics.
| hep-ph | the standard model of fundamental interactions is remarkably successful but it leaves an unfinished agenda several major questions seem ripe for exploration in the near future i anticipate that the coming decade will be a golden age of discovery in fundamental physics | [['the', 'standard', 'model', 'of', 'fundamental', 'interactions', 'is', 'remarkably', 'successful', 'but', 'it', 'leaves', 'an', 'unfinished', 'agenda', 'several', 'major', 'questions', 'seem', 'ripe', 'for', 'exploration', 'in', 'the', 'near', 'future', 'i', 'anticipate', 'that', 'the', 'coming', 'decade', 'will', 'be', 'a', 'golden', 'age', 'of', 'discovery', 'in', 'fundamental', 'physics']] | [-0.08754724323461276, 0.17022624157315086, -0.07929776190541729, 0.09697897165980456, -0.11238235607743263, -0.17566397456851388, 0.04852042932595525, 0.32614208935272126, -0.32609450402447865, -0.3124815632833079, 0.14378442599194213, -0.26732675217845964, -0.15667253559721367, 0.23981820891189964, -0.07033990046364211, -0.010588792995327995, 0.10896637131060873, 0.047260044275649955, -0.032089150948671714, -0.283692149667158, 0.25709990879875566, 0.13274338217230425, 0.2422054305761343, 0.10240877753434081, 0.005144780900861535, -0.017818214527020853, -0.07574228272728976, -0.03480924838887794, -0.12503006365278407, 0.12602906749539433, 0.2888649542416845, 0.2104522804951384, 0.342782836407423, -0.39539956403452725, -0.1904343179471436, 0.10069487259412806, 0.1850284455743219, 0.08801395361799569, -0.11353430136417349, -0.24484814812118808, -0.01890974123324711, -0.1556431059947326, -0.18976889122720986, -0.04244772510026537, 0.06392249185591936, -0.08545732826349281, -0.1393678922294861, 0.02885487245484477, 0.05235942838979619, 0.04382671894771712, -0.009526428217733545, -0.14579040149138087, 0.06298146455637402, 0.17940522207035905, 0.07483530478341327, 0.061377108263384016, 0.08814741959906228, -0.20149954607976334, -0.18224119097881375, 0.4405896769880894, -0.021336587750175523, -0.044381904490624687, 0.22788873993392503, -0.1730989350319197, -0.21896783666064343, 0.058707328424567266, 0.17645477050072736, 0.04358292122681936, -0.19044478015885466, 0.08058172733789044, -0.03668616654440051, 0.12846027054114356, -0.008092469890557584, -0.0029159497270094497, 0.3525415666046597, 0.2814338758055653, 0.06848131113552622, -0.04127790077611627, -0.0544197333566401, -0.14582585481305918, -0.3042774358320804, -0.16641812388496918, -0.09346193452143953, 0.08451921947389132, -0.013931942826491735, -0.11202171702115309, 0.3797430702086006, 0.20245970523960533, 0.15677839679466116, -0.03299433717481969, 0.25192263904249385, 0.023496230820282585, 0.1210711585978667, 0.01590961875349638, 0.32936436529936536, 0.04547784406514395, 0.09817858239901918, -0.10917334080052872, 0.10974795251552548, -0.031209698545613458] |
708.4237 | Restricted quantum-classical correspondence and counting statistics for
a coherent transition | The conventional probabilistic point of view implies that if a particle has a
probability $p$ to make a transition from one site to another site, then the
average transport should be $<Q>=p}$ with a variance $Var(Q)=(1-p)p$. In the
quantum mechanical context this observation becomes a non-trivial manifestation
of restricted quantum-classical correspondence. We demonstrate this observation
by considering the full counting statistics which is associated with a two
level coherent transition in the context of a continuous quantum measurement
process. In particular we test the possibility of getting a valid result for
$Var(Q)$ within the framework of the adiabatic picture, analyzing the simplest
non-trivial example of a Landau-Zener crossing.
| cond-mat.mes-hall quant-ph | the conventional probabilistic point of view implies that if a particle has a probability p to make a transition from one site to another site then the average transport should be qp with a variance varq1pp in the quantum mechanical context this observation becomes a nontrivial manifestation of restricted quantumclassical correspondence we demonstrate this observation by considering the full counting statistics which is associated with a two level coherent transition in the context of a continuous quantum measurement process in particular we test the possibility of getting a valid result for varq within the framework of the adiabatic picture analyzing the simplest nontrivial example of a landauzener crossing | [['the', 'conventional', 'probabilistic', 'point', 'of', 'view', 'implies', 'that', 'if', 'a', 'particle', 'has', 'a', 'probability', 'p', 'to', 'make', 'a', 'transition', 'from', 'one', 'site', 'to', 'another', 'site', 'then', 'the', 'average', 'transport', 'should', 'be', 'qp', 'with', 'a', 'variance', 'varq1pp', 'in', 'the', 'quantum', 'mechanical', 'context', 'this', 'observation', 'becomes', 'a', 'nontrivial', 'manifestation', 'of', 'restricted', 'quantumclassical', 'correspondence', 'we', 'demonstrate', 'this', 'observation', 'by', 'considering', 'the', 'full', 'counting', 'statistics', 'which', 'is', 'associated', 'with', 'a', 'two', 'level', 'coherent', 'transition', 'in', 'the', 'context', 'of', 'a', 'continuous', 'quantum', 'measurement', 'process', 'in', 'particular', 'we', 'test', 'the', 'possibility', 'of', 'getting', 'a', 'valid', 'result', 'for', 'varq', 'within', 'the', 'framework', 'of', 'the', 'adiabatic', 'picture', 'analyzing', 'the', 'simplest', 'nontrivial', 'example', 'of', 'a', 'landauzener', 'crossing']] | [-0.1330087287699647, 0.14243818185004953, -0.123888414052846, 0.08252408851336084, -0.027598736879511553, -0.14647137589108583, 0.12108446638400136, 0.30633763207348985, -0.2736725077450832, -0.2582974364963647, 0.05407695796136161, -0.23433263011485617, -0.1448114727728208, 0.18666030853555896, -0.026993870393538448, 0.02935629938163351, 0.07202199426975762, 0.09101305404138342, -0.07744652650614973, -0.1606285782861654, 0.3044037920636099, 0.04622296468250314, 0.28348836488151385, 0.03383810430869599, 0.09086585005693068, 0.04982393354647488, 0.026817742539308617, 0.040869489339371776, -0.10395512127386304, 0.10039560748351233, 0.24167584368489056, 0.08430445292381412, 0.29507401132973554, -0.3841643154307782, -0.21470923251124255, 0.12060373642037962, 0.10041252235587138, 0.16381523921263239, -0.056796882445184146, -0.28167961628359056, 0.054733744187054234, -0.1663474929301399, -0.13947405063146812, -0.019378868358157504, -0.0056147393117719725, -0.046180771385258605, -0.26767806741234923, 0.07729807355937278, 0.0920482762680154, 0.035773214492424626, -0.010247117633034831, -0.013653302103907706, 0.024295551756779863, 0.10230949166378825, 0.009445105237335785, 0.029586971181751638, 0.10625869605394307, -0.13679594058700115, -0.1526370587058052, 0.40414001216467854, -0.03956918622515051, -0.16453101410243276, 0.16411718572098238, -0.18036489069862205, -0.15332404977998862, 0.1249485325816775, 0.09254819359499787, 0.09094564201501763, -0.13062485794876225, 0.10004125044585388, -0.051808988370836896, 0.14515874752580082, 0.041010479423191366, 0.026247802925966332, 0.23919278187688145, 0.19077176871605078, 0.053684409899271535, 0.1640744381268709, -0.10555241955933814, -0.1600479225619374, -0.34444250544167565, -0.1934211138585826, -0.21046659071868826, 0.10389509485712467, -0.05192600777720876, -0.15603873096232382, 0.40575585818074855, 0.13964488352083157, 0.2257103379989896, 0.03581213657896548, 0.26454651532433576, 0.1753067993254305, 0.007836725375675988, 0.018703841325766014, 0.2182845919742249, 0.11409852575188695, 0.04947563353490746, -0.20000354035008944, 0.04680579159165097, 0.060017410130457624] |
708.4238 | Ambipolar Diffusion in Molecular Cloud Cores and the Gravomagneto
Catastrophe | This paper re-examines the problem of ambipolar diffusion as a mechanism for
the production and runaway evolution of centrally condensed molecular cloud
cores, a process that has been termed the gravomagneto catastrophe. Our
calculation applies in the geometric limit of a highly flattened core and
allows for a semi-analytic treatment of the full problem, although physical
fixes are required to resolve a poor representation of the central region. A
noteworthy feature of the overall formulation is that the solutions for the
ambipolar diffusion portion of the evolution for negative times ($t < 0$) match
smoothly onto the collapse solutions for positive times ($t > 0$). The
treatment shows that the resulting cores display non-zero, but
sub-magnetosonic, inward velocities at the end of the diffusion epoch, in
agreement with current observations. Another important result is the derivation
of an analytic relationship between the dimensionless mass to flux ratio
$\lambda_0\equiv f_0^{-1}$ of the central regions produced by runaway core
condensation and the dimensionless measure of the rate of ambipolar diffusion
$\epsilon$. In conjunction with previous work showing that ambipolar diffusion
takes place more quickly in the presence of turbulent fluctuations, i.e., that
the effective value of $\epsilon$ can be enhanced by turbulence, the resultant
theory provides a viable working hypothesis for the formation of isolated
molecular-cloud cores and their subsequent collapse to form stars and planetary
systems.
| astro-ph | this paper reexamines the problem of ambipolar diffusion as a mechanism for the production and runaway evolution of centrally condensed molecular cloud cores a process that has been termed the gravomagneto catastrophe our calculation applies in the geometric limit of a highly flattened core and allows for a semianalytic treatment of the full problem although physical fixes are required to resolve a poor representation of the central region a noteworthy feature of the overall formulation is that the solutions for the ambipolar diffusion portion of the evolution for negative times t 0 match smoothly onto the collapse solutions for positive times t 0 the treatment shows that the resulting cores display nonzero but submagnetosonic inward velocities at the end of the diffusion epoch in agreement with current observations another important result is the derivation of an analytic relationship between the dimensionless mass to flux ratio lambda_0equiv f_01 of the central regions produced by runaway core condensation and the dimensionless measure of the rate of ambipolar diffusion epsilon in conjunction with previous work showing that ambipolar diffusion takes place more quickly in the presence of turbulent fluctuations ie that the effective value of epsilon can be enhanced by turbulence the resultant theory provides a viable working hypothesis for the formation of isolated molecularcloud cores and their subsequent collapse to form stars and planetary systems | [['this', 'paper', 'reexamines', 'the', 'problem', 'of', 'ambipolar', 'diffusion', 'as', 'a', 'mechanism', 'for', 'the', 'production', 'and', 'runaway', 'evolution', 'of', 'centrally', 'condensed', 'molecular', 'cloud', 'cores', 'a', 'process', 'that', 'has', 'been', 'termed', 'the', 'gravomagneto', 'catastrophe', 'our', 'calculation', 'applies', 'in', 'the', 'geometric', 'limit', 'of', 'a', 'highly', 'flattened', 'core', 'and', 'allows', 'for', 'a', 'semianalytic', 'treatment', 'of', 'the', 'full', 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708.4239 | Thermodynamic modeling of the Hf-Si-O system | The Hf-O system has been modeled by combining existing experimental data and
first-principles calculations results through the CALPHAD approach. Special
quasirandom structures of $\alpha$ and $\beta$ hafnium were generated to
calculate the mixing behavior of oxygen and vacancies. For the total energy of
oxygen, vibrational, rotational and translational degrees of freedom were
considered. The Hf-O system was combined with previously modeled Hf-Si and Si-O
systems, and the ternary compound in the Hf-Si-O system, HfSiO$_4$ has been
introduced to calculate the stability diagrams pertinent to the thin film
processing.
| cond-mat.mtrl-sci | the hfo system has been modeled by combining existing experimental data and firstprinciples calculations results through the calphad approach special quasirandom structures of alpha and beta hafnium were generated to calculate the mixing behavior of oxygen and vacancies for the total energy of oxygen vibrational rotational and translational degrees of freedom were considered the hfo system was combined with previously modeled hfsi and sio systems and the ternary compound in the hfsio system hfsio_4 has been introduced to calculate the stability diagrams pertinent to the thin film processing | [['the', 'hfo', 'system', 'has', 'been', 'modeled', 'by', 'combining', 'existing', 'experimental', 'data', 'and', 'firstprinciples', 'calculations', 'results', 'through', 'the', 'calphad', 'approach', 'special', 'quasirandom', 'structures', 'of', 'alpha', 'and', 'beta', 'hafnium', 'were', 'generated', 'to', 'calculate', 'the', 'mixing', 'behavior', 'of', 'oxygen', 'and', 'vacancies', 'for', 'the', 'total', 'energy', 'of', 'oxygen', 'vibrational', 'rotational', 'and', 'translational', 'degrees', 'of', 'freedom', 'were', 'considered', 'the', 'hfo', 'system', 'was', 'combined', 'with', 'previously', 'modeled', 'hfsi', 'and', 'sio', 'systems', 'and', 'the', 'ternary', 'compound', 'in', 'the', 'hfsio', 'system', 'hfsio_4', 'has', 'been', 'introduced', 'to', 'calculate', 'the', 'stability', 'diagrams', 'pertinent', 'to', 'the', 'thin', 'film', 'processing']] | [-0.11153401569246726, 0.14060532700725245, -0.026561449850411263, -0.012773144199664509, 0.008784050814980683, -0.11524579488823927, 0.07187815506801788, 0.41890467434775, -0.24662925320309262, -0.3175898533920909, 0.04841428241275554, -0.3249260534147927, -0.10152327637020198, 0.138141454682079, 0.026261219213348487, 0.1138773013101241, 0.008941673630372036, -0.035160745047357715, -0.061203839257359505, -0.203735948675637, 0.2538012391021259, 0.10719559360078948, 0.27913216882666875, 0.03820533537154281, 0.06794491935613413, -0.025315696064945915, -0.0015684579672335193, 0.01670357369449596, -0.185984471249719, 0.09957287175754129, 0.2029151429400541, 0.006625614713790805, 0.15909529249941887, -0.4270680940406787, -0.27254891992265057, -0.007107918001819662, 0.1295818957543477, 0.12255348656109946, -0.020960192585927108, -0.27639698327064166, 0.08293464242177474, -0.1721713216542158, -0.13006869134449855, -0.12088338255903922, 0.013383074414504821, 0.04557727908493604, -0.22420907314923635, 0.06903800019604522, 0.015843162540519654, 0.1258050449764279, -0.126239379987034, -0.19598315846916764, -0.12292453329901883, 0.10348901497795744, 0.05802486823915049, -0.019753848077989248, 0.1594947825394419, -0.03636337434981278, -0.11006924879282366, 0.4018690783671255, -0.03591800611845196, -0.11881145003230073, 0.18858704729503845, -0.1242416818967349, -0.13971679103777332, 0.1941340351653242, 0.12132796395277648, 0.11013190185131375, -0.18001581747951204, 0.07762907896607811, 0.009430687523617538, 0.19662779683604575, 0.09030734719491976, 0.03913573372762564, 0.14557867646650519, 0.16506777305242626, -0.056214399408375804, 0.16369982353184198, -0.1208571634623547, -0.09017159028769318, -0.16246201199219498, -0.16406019212851344, -0.16272166321530593, 0.0023264436803888096, -0.03170596008347402, -0.1339887588848035, 0.3561779892635207, 0.05877634642921865, 0.11818892770645827, -0.07139489874731056, 0.24447868609811765, 0.11287170072454353, 0.07871788110161676, -0.0035447871757855335, 0.2600266201378301, 0.19824223948891687, 0.09826761836928538, -0.2755805547213788, 0.11159425197429089, 0.033224321903151915] |
708.424 | A dynamical mean-field theory study of Nagaoka ferromagnetism | We revisit Nagaoka ferromagnetism in the U=oo Hubbard model within the
dynamical mean-field theory (DMFT) using the recently developed continuous time
quantum Monte Carlo method as the impurity solver. The stability of Nagaoka
ferromagnetism is studied as a function of the temperature, the doping level,
and the next-nearest-neighbor lattice hopping t'. We found that the nature of
the phase transition as well as the stability of the ferromagnetic state is
very sensitive to the t' hopping. Negative t'=-0.1t stabilizes ferromagnetism
up to higher doping levels. The paramagnetic state is reached through a first
order phase transition. Alternatively, a second order phase transition is
observed at t'=0. Very near half-filling, the coherence temperature T_{coh} of
the paramagnetic metal becomes very low and ferromagnetism evolves out of an
incoherent metal rather than conventional Fermi liquid. We use the DMFT results
to benchmark slave-boson method which might be useful in more complicated
geometries.
| cond-mat.str-el | we revisit nagaoka ferromagnetism in the uoo hubbard model within the dynamical meanfield theory dmft using the recently developed continuous time quantum monte carlo method as the impurity solver the stability of nagaoka ferromagnetism is studied as a function of the temperature the doping level and the nextnearestneighbor lattice hopping t we found that the nature of the phase transition as well as the stability of the ferromagnetic state is very sensitive to the t hopping negative t01t stabilizes ferromagnetism up to higher doping levels the paramagnetic state is reached through a first order phase transition alternatively a second order phase transition is observed at t0 very near halffilling the coherence temperature t_coh of the paramagnetic metal becomes very low and ferromagnetism evolves out of an incoherent metal rather than conventional fermi liquid we use the dmft results to benchmark slaveboson method which might be useful in more complicated geometries | [['we', 'revisit', 'nagaoka', 'ferromagnetism', 'in', 'the', 'uoo', 'hubbard', 'model', 'within', 'the', 'dynamical', 'meanfield', 'theory', 'dmft', 'using', 'the', 'recently', 'developed', 'continuous', 'time', 'quantum', 'monte', 'carlo', 'method', 'as', 'the', 'impurity', 'solver', 'the', 'stability', 'of', 'nagaoka', 'ferromagnetism', 'is', 'studied', 'as', 'a', 'function', 'of', 'the', 'temperature', 'the', 'doping', 'level', 'and', 'the', 'nextnearestneighbor', 'lattice', 'hopping', 't', 'we', 'found', 'that', 'the', 'nature', 'of', 'the', 'phase', 'transition', 'as', 'well', 'as', 'the', 'stability', 'of', 'the', 'ferromagnetic', 'state', 'is', 'very', 'sensitive', 'to', 'the', 't', 'hopping', 'negative', 't01t', 'stabilizes', 'ferromagnetism', 'up', 'to', 'higher', 'doping', 'levels', 'the', 'paramagnetic', 'state', 'is', 'reached', 'through', 'a', 'first', 'order', 'phase', 'transition', 'alternatively', 'a', 'second', 'order', 'phase', 'transition', 'is', 'observed', 'at', 't0', 'very', 'near', 'halffilling', 'the', 'coherence', 'temperature', 't_coh', 'of', 'the', 'paramagnetic', 'metal', 'becomes', 'very', 'low', 'and', 'ferromagnetism', 'evolves', 'out', 'of', 'an', 'incoherent', 'metal', 'rather', 'than', 'conventional', 'fermi', 'liquid', 'we', 'use', 'the', 'dmft', 'results', 'to', 'benchmark', 'slaveboson', 'method', 'which', 'might', 'be', 'useful', 'in', 'more', 'complicated', 'geometries']] | [-0.1282941754490477, 0.21405713021925515, -0.07519710144638461, 0.10701969682830512, 0.0009039516381390795, -0.18493955758655117, 0.12832359891822184, 0.36707431948240343, -0.2623486961804431, -0.2442289551726316, 0.03025490663020645, -0.3288430288006124, -0.09931743539542563, 0.107735427654965, 0.08098299020895029, 0.0011850321080183258, -0.059546583310883444, -0.009959988006566828, -0.17405079932398843, -0.24323163252021815, 0.2583829661913065, 0.05992289004152062, 0.27258543741285196, 0.09915901766932644, 0.033891287196515685, 0.0034713977475877146, 0.19364464663856387, 0.04495421244634624, -0.13098249610359475, -0.024981620633420912, 0.281324436628524, -0.11290058694351968, 0.24770261817989317, -0.39744754868081295, -0.21824744660753403, -0.0014545611464544326, 0.13620500595110618, 0.19099456563708372, -0.05629557287102216, -0.3144533285694952, 0.009934652599858472, -0.18821668805793632, -0.15780028930040882, -0.13307000205197647, -0.05421643130279876, -0.05374429593939567, -0.26019474889176925, 0.1408847709551353, 0.05480051902850391, 0.07119990962658178, -0.07219166506547481, -0.13012288260506466, -0.08985550464854601, 0.06759362072193038, 0.02721421596927669, 0.10592299371087024, 0.13609556101083226, -0.1078026351562978, -0.08766054122777958, 0.37449201206500465, -0.08616515236084328, -0.05126922597756257, 0.20347485736144605, -0.19437241190541032, -0.07931826091560258, 0.19604552680047582, 0.0730680653430534, 0.12909765008560106, -0.1369715768441155, 0.10357090817686529, 0.019512056593304954, 0.20442969685049123, -0.0232826563501353, 0.026496831305652252, 0.20825825316038588, 0.26346545454391557, 0.0754551527600081, 0.15322959285038304, -0.13052041344092907, -0.16354728911883776, -0.2098753333242761, -0.12326450743637758, -0.24738260524070546, 0.04789176648734389, -0.08374385813560267, -0.21029332193319458, 0.36413371328868577, 0.2033252983536521, 0.16552192545999345, -0.024701424636028556, 0.23604029954121625, 0.1627578594426096, 0.026800815069519385, 0.019373396568856126, 0.23489495628903545, 0.18089089670841507, 0.14333142357488238, -0.3080028397822831, 0.07747978322220513, 0.08469780084733675] |
708.4241 | Light Pseudoscalars in Little Higgs Models at the ILC | We discuss the properties of light pseudoscalar particles, the so-called
pseudoaxions, within Little Higgs models, focusing on their phenomenology at
the ILC. We especially discuss a method of how to distinguish between the two
basic classes of Little Higgs models, the product and simple group models, by a
specific production channel and decay mode. These are strictly forbidden in the
product group models.
| hep-ph | we discuss the properties of light pseudoscalar particles the socalled pseudoaxions within little higgs models focusing on their phenomenology at the ilc we especially discuss a method of how to distinguish between the two basic classes of little higgs models the product and simple group models by a specific production channel and decay mode these are strictly forbidden in the product group models | [['we', 'discuss', 'the', 'properties', 'of', 'light', 'pseudoscalar', 'particles', 'the', 'socalled', 'pseudoaxions', 'within', 'little', 'higgs', 'models', 'focusing', 'on', 'their', 'phenomenology', 'at', 'the', 'ilc', 'we', 'especially', 'discuss', 'a', 'method', 'of', 'how', 'to', 'distinguish', 'between', 'the', 'two', 'basic', 'classes', 'of', 'little', 'higgs', 'models', 'the', 'product', 'and', 'simple', 'group', 'models', 'by', 'a', 'specific', 'production', 'channel', 'and', 'decay', 'mode', 'these', 'are', 'strictly', 'forbidden', 'in', 'the', 'product', 'group', 'models']] | [-0.09548423415242088, 0.19615044253360894, -0.05927012279067957, 0.15342003451512445, -0.07421282422728837, -0.1941685232200793, 0.041853876880532694, 0.39013590450797764, -0.27308056973630473, -0.2524623881197638, 0.09661374710655461, -0.26422836377270636, -0.09972669656521507, 0.17431120915220133, 0.022686692320608666, 0.007662957305059073, 0.046745848396630395, 0.05209878678359683, -0.08582473649007696, -0.22430999195646673, 0.3736995115565757, 0.027130048485502364, 0.24232836573251657, 0.06896127954066272, 0.05037002781376479, 0.005614584962290431, -0.04511327726215804, -0.08133541526538986, -0.14428152554919796, 0.12716836896207598, 0.13709639340555035, 0.12515410140807193, 0.1823659474177966, -0.3749176078136005, -0.17942970927937754, 0.18981706132994047, 0.11220160888744489, 0.09040974339401896, -0.05243921478921991, -0.27804067890558926, 0.057595945271988594, -0.19899024098875032, -0.07362196267081705, -0.0495136987329239, -0.04417979184331165, -0.022865790873765945, -0.20058671359918892, 0.03661942341557098, -0.005074160868331554, 0.04656616097597021, -0.013727048238266319, -0.14542834188729997, -0.04777858698267549, 0.06929317467092048, 0.12315635826246488, -0.06846544286975312, 0.13918704499623605, -0.22109147972826446, -0.1558385362168626, 0.4038357094285034, -0.09164467093623466, -0.2164532195939313, 0.23383537184036823, -0.17454834484923926, -0.15164298791113118, 0.06911177623514382, 0.23719613750775656, 0.10973926252197652, -0.1274918614339734, 0.11683381460274436, -0.03711993679670351, 0.13434542941358235, 0.013860029105599674, 0.06125441971161063, 0.2473939483955739, 0.18502159305803834, -0.03965608988489423, 0.11286583213165166, -0.017988694369763372, -0.08983967541938737, -0.36521009184301845, -0.14469348248981295, -0.02680074000899266, -0.010155365551038393, -0.08197165148966531, -0.1170601775307977, 0.4579685420566608, 0.08876312112769237, 0.2300816270123635, 0.025073759139530243, 0.28367923105519915, 0.06375892831396962, 0.08469488543813072, 0.036054417372695984, 0.29730270335835124, 0.1911492180707495, 0.04748600021389032, -0.2019969396245119, 0.01707241902246125, 0.06180252767507992] |
708.4242 | Gaussianity of LISA's confusion backgrounds | Data analysis for the proposed Laser Interferometer Space Antenna (LISA) will
be complicated by the huge number of sources in the LISA band. Throughout much
of the band, galactic white dwarf binaries (GWDBs) are sufficiently dense in
frequency space that it will be impossible to resolve most of them, and
"confusion noise" from the unresolved Galactic binaries will dominate over
instrumental noise in determining LISA's sensitivity to other sources in that
band. Confusion noise from unresolved extreme-mass-ratio inspirals (EMRIs)
could also contribute significantly to LISA's total noise curve. To date,
estimates of the effect of LISA's confusion noise on matched-filter searches
and their detection thresholds have generally approximated the noise as
Gaussian, based on the Central Limit Theorem. However in matched-filter
searches, the appropriate detection threshold for a given class of signals may
be located rather far out on the tail of the signal-to-noise probability
distribution, where a priori it is unclear whether the Gaussian approximation
is reliable. Using the Edgeworth expansion and the theory of large deviations,
we investigate the probability distribution of the usual matched-filter
detection statistic, far out on the tail of the distribution. We apply these
tools to four somewhat idealized versions of specific LISA searches.
| gr-qc | data analysis for the proposed laser interferometer space antenna lisa will be complicated by the huge number of sources in the lisa band throughout much of the band galactic white dwarf binaries gwdbs are sufficiently dense in frequency space that it will be impossible to resolve most of them and confusion noise from the unresolved galactic binaries will dominate over instrumental noise in determining lisas sensitivity to other sources in that band confusion noise from unresolved extrememassratio inspirals emris could also contribute significantly to lisas total noise curve to date estimates of the effect of lisas confusion noise on matchedfilter searches and their detection thresholds have generally approximated the noise as gaussian based on the central limit theorem however in matchedfilter searches the appropriate detection threshold for a given class of signals may be located rather far out on the tail of the signaltonoise probability distribution where a priori it is unclear whether the gaussian approximation is reliable using the edgeworth expansion and the theory of large deviations we investigate the probability distribution of the usual matchedfilter detection statistic far out on the tail of the distribution we apply these tools to four somewhat idealized versions of specific lisa searches | [['data', 'analysis', 'for', 'the', 'proposed', 'laser', 'interferometer', 'space', 'antenna', 'lisa', 'will', 'be', 'complicated', 'by', 'the', 'huge', 'number', 'of', 'sources', 'in', 'the', 'lisa', 'band', 'throughout', 'much', 'of', 'the', 'band', 'galactic', 'white', 'dwarf', 'binaries', 'gwdbs', 'are', 'sufficiently', 'dense', 'in', 'frequency', 'space', 'that', 'it', 'will', 'be', 'impossible', 'to', 'resolve', 'most', 'of', 'them', 'and', 'confusion', 'noise', 'from', 'the', 'unresolved', 'galactic', 'binaries', 'will', 'dominate', 'over', 'instrumental', 'noise', 'in', 'determining', 'lisas', 'sensitivity', 'to', 'other', 'sources', 'in', 'that', 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'distribution', 'of', 'the', 'usual', 'matchedfilter', 'detection', 'statistic', 'far', 'out', 'on', 'the', 'tail', 'of', 'the', 'distribution', 'we', 'apply', 'these', 'tools', 'to', 'four', 'somewhat', 'idealized', 'versions', 'of', 'specific', 'lisa', 'searches']] | [-0.10439990982226091, 0.09866246902594465, -0.08582672831981476, 0.16238725654916586, -0.08647073352072931, -0.09174105456220595, 0.09926790779809837, 0.3705720393778054, -0.20148735659152514, -0.31720917432419204, 0.11207366881052022, -0.2905534160271961, -0.11863691424927557, 0.23889033657489298, -0.08079096330938178, 0.03631526713163578, 0.07687452746756376, -0.010595780687614919, -0.052936366553320055, -0.23756719715706068, 0.3121172758170296, 0.15708244297578555, 0.20596883131481294, -0.052956625786446145, 0.04343965137318881, -0.02192811005229327, -0.0954567956359093, -0.036771813019391746, -0.08891366518153189, 0.03879751359117241, 0.2980952861978574, 0.16057348598131732, 0.23723774403801665, -0.3483157296987934, 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708.4243 | On the torsion of Drinfeld modules of rank two | We study rational points and torsion points on Drinfeld modular curves
defined over rational function fields. As a consequence we derive a conjecture
of Schweizer describing completely the torsion of Drinfeld modules of rank two
over $\Bbb F_2(T)$ implying Poonen's uniform boundedness conjecture in this
particular case.
| math.NT | we study rational points and torsion points on drinfeld modular curves defined over rational function fields as a consequence we derive a conjecture of schweizer describing completely the torsion of drinfeld modules of rank two over bbb f_2t implying poonens uniform boundedness conjecture in this particular case | [['we', 'study', 'rational', 'points', 'and', 'torsion', 'points', 'on', 'drinfeld', 'modular', 'curves', 'defined', 'over', 'rational', 'function', 'fields', 'as', 'a', 'consequence', 'we', 'derive', 'a', 'conjecture', 'of', 'schweizer', 'describing', 'completely', 'the', 'torsion', 'of', 'drinfeld', 'modules', 'of', 'rank', 'two', 'over', 'bbb', 'f_2t', 'implying', 'poonens', 'uniform', 'boundedness', 'conjecture', 'in', 'this', 'particular', 'case']] | [-0.29265921172547216, 0.024966830080573228, -0.10292661808272625, 0.061904396849407003, -0.06346887230199386, -0.15279520253472506, 0.0005602054198847172, 0.26808328233025175, -0.319419728943761, -0.1724786028870322, 0.05062961129303229, -0.17806292460993567, -0.1787354480673341, 0.250885525792639, -0.1631119048143638, -0.019906102521146867, -0.0328459307709907, 0.057349680328464256, -0.10610182177116896, -0.41328194602689844, 0.4576895970335983, -0.050405922167478724, 0.2138210499778073, 0.06831017471453611, 0.1303694653919244, 0.09345485100601898, -0.01402726448438269, -0.05067509860592954, -0.194468381834474, 0.0865540558749691, 0.30509870824344615, 0.04622502314877954, 0.1777422273571187, -0.3592111284032147, -0.11168065250038783, 0.2674000599976391, 0.1355866268475322, -0.02545010437198142, -0.01759271237731693, -0.21818583216419088, 0.0752051488119871, -0.1985338992102349, -0.22656374715981967, -0.06407545102720565, 0.06134385715902565, 0.05307446193802071, -0.25235588375003415, -0.011671449444157647, 0.08838227941367299, 0.23088535378833222, -0.16805241570035193, -0.09188935103172317, -0.05124447768197415, 0.025487846001348596, 0.024508317575809804, 0.07235253057838913, 0.06335905188337919, -0.1052297889106372, -0.12944463283774701, 0.2906643123207416, -0.054548558204414996, -0.18244258116217368, 0.06182331708755265, -0.17536995995869029, -0.16458281884564363, 0.07302031535258953, 0.09668645904736316, 0.16915488392771025, 0.007869319078770089, 0.22409015905701535, -0.1963355308596758, 0.02673807386507062, 0.20373709771306592, -0.054293474499532514, 0.16334025886781672, -0.003643614185498433, 0.07084033846300333, 0.13508511318062294, 0.03284910239497239, -0.04384806593681904, -0.39787874830530046, -0.2196843065271907, -0.08863880372348618, 0.19109690409312222, -0.12056994211254393, -0.22771557761316605, 0.43138322327286005, 0.03311286557545053, 0.15950779392919007, 0.19717360246292454, 0.16426628098842946, 0.07932148473287755, 0.06931232546079666, 0.04508250416751872, 0.12392418431316285, 0.26110064419125145, -0.07027151853222638, -0.0543773516447858, -0.04518924888342302, 0.24075834554164333] |
708.4244 | Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant
Resolution Conjecture | Let G be the group A_4 or Z_2xZ_2. We compute the integral of \lambda_g on
the Hurwitz locus H_G\subset M_g of curves admitting a degree 4 cover of P^1
having monodromy group G. We compute the generating functions for these
integrals and write them as a trigonometric expression summed over the positive
roots of the E_6 and D_4 root systems respectively. As an application, we prove
the Crepant Resolution Conjecture for the orbifolds [C^3/A_4] and
[C^3/(Z_2xZ_2)].
| math.AG | let g be the group a_4 or z_2xz_2 we compute the integral of lambda_g on the hurwitz locus h_gsubset m_g of curves admitting a degree 4 cover of p1 having monodromy group g we compute the generating functions for these integrals and write them as a trigonometric expression summed over the positive roots of the e_6 and d_4 root systems respectively as an application we prove the crepant resolution conjecture for the orbifolds c3a_4 and c3z_2xz_2 | [['let', 'g', 'be', 'the', 'group', 'a_4', 'or', 'z_2xz_2', 'we', 'compute', 'the', 'integral', 'of', 'lambda_g', 'on', 'the', 'hurwitz', 'locus', 'h_gsubset', 'm_g', 'of', 'curves', 'admitting', 'a', 'degree', '4', 'cover', 'of', 'p1', 'having', 'monodromy', 'group', 'g', 'we', 'compute', 'the', 'generating', 'functions', 'for', 'these', 'integrals', 'and', 'write', 'them', 'as', 'a', 'trigonometric', 'expression', 'summed', 'over', 'the', 'positive', 'roots', 'of', 'the', 'e_6', 'and', 'd_4', 'root', 'systems', 'respectively', 'as', 'an', 'application', 'we', 'prove', 'the', 'crepant', 'resolution', 'conjecture', 'for', 'the', 'orbifolds', 'c3a_4', 'and', 'c3z_2xz_2']] | [-0.2325361194340764, 0.028083052972490533, -0.10108002110988505, 0.09780251545630195, -0.09960610789523737, -0.12988233505874067, 0.01630109908512315, 0.33557395660161116, -0.27693100045812696, -0.25448365783243365, 0.14044342833772502, -0.25942619673190387, -0.12741656670963541, 0.20361033621294475, -0.08071969546428001, -0.054156861821743285, 0.0172373149040583, 0.09510641570857449, -0.136294978960241, -0.3314600116950837, 0.33136791612550215, -0.10754833087274754, 0.13546570985596879, 0.05088292047809306, 0.1629402258471158, 0.043136916894188804, -0.009939214507294064, -0.09852157240242672, -0.17509451207730012, 0.11589619789171864, 0.2781829117935755, 0.07677856089257812, 0.11813109363366321, -0.3251734019534008, -0.11336341316849496, 0.236329303412522, 0.18054372744282354, -0.030129563390604547, 0.02174666801599685, -0.21528136495475633, 0.09013579140820012, -0.19150727552324817, -0.24034295754658208, -0.09296197684582423, 0.07189594569137774, 0.03538104103928482, -0.22879466190745398, 0.025889088173170347, -0.013890867920693111, 0.1504773891128197, -0.01777178229688591, -0.18033365205534407, -0.057068402941867304, 0.09690877999418189, -0.00824028899031062, 0.05032022099004354, 0.048136010212269986, -0.1376705720920015, -0.1270578873117228, 0.3965881831465742, -0.0734712404971376, -0.20318579333960204, 0.043255533620312404, -0.16773261391633265, -0.15959231496310314, 0.11757557881945693, 0.09387918511355245, 0.1738103980299186, 0.005677536419416602, 0.18836759998403313, -0.1000021544813707, 0.07680454983602504, 0.1518096706855136, -0.05313839378288469, 0.16634389354432053, 0.03257852769456804, 0.07752610525317691, 0.08090206764550326, -0.03304982101709922, 0.02732084532318687, -0.3962127073995165, -0.20440487333925794, -0.1277654434277399, 0.19780249205241734, -0.1651193780403323, -0.17324766929487925, 0.4245733512892715, 0.016175155477547967, 0.19079751311172102, 0.20650015231158986, 0.16129533782903407, 0.11546446884843849, 0.11190885375253856, 0.03155202926412843, 0.02987074086794982, 0.20900474778200323, -0.07483921222848113, -0.19799965256321672, -0.09556941348253875, 0.21211003330599115] |
708.4245 | Cyclic motion and inversion of surface flow direction in a dense polymer
brush under shear | Using molecular simulations, we study the properties of a polymer brush in
contact with an explicit solvent under Couette and Poiseuille flow. The solvent
is comprised of chemically identical chains. We present evidence that
individual, unentangled chains in the dense brush exhibit cyclic, tumbling
motion and non-Gaussian fluctuations of the molecular orientations similar to
the behaviour of isolated tethered chains in shear flow. The collective
molecular motion gives rise to an inversion of hydrodynamic flow direction in
the vicinity of the brush-coated surface. Utilising Couette and Poiseuille
flow, we investigate to what extend the effect of a brush-coated surface can be
described by a Navier slip condition.
| cond-mat.soft cond-mat.stat-mech | using molecular simulations we study the properties of a polymer brush in contact with an explicit solvent under couette and poiseuille flow the solvent is comprised of chemically identical chains we present evidence that individual unentangled chains in the dense brush exhibit cyclic tumbling motion and nongaussian fluctuations of the molecular orientations similar to the behaviour of isolated tethered chains in shear flow the collective molecular motion gives rise to an inversion of hydrodynamic flow direction in the vicinity of the brushcoated surface utilising couette and poiseuille flow we investigate to what extend the effect of a brushcoated surface can be described by a navier slip condition | [['using', 'molecular', 'simulations', 'we', 'study', 'the', 'properties', 'of', 'a', 'polymer', 'brush', 'in', 'contact', 'with', 'an', 'explicit', 'solvent', 'under', 'couette', 'and', 'poiseuille', 'flow', 'the', 'solvent', 'is', 'comprised', 'of', 'chemically', 'identical', 'chains', 'we', 'present', 'evidence', 'that', 'individual', 'unentangled', 'chains', 'in', 'the', 'dense', 'brush', 'exhibit', 'cyclic', 'tumbling', 'motion', 'and', 'nongaussian', 'fluctuations', 'of', 'the', 'molecular', 'orientations', 'similar', 'to', 'the', 'behaviour', 'of', 'isolated', 'tethered', 'chains', 'in', 'shear', 'flow', 'the', 'collective', 'molecular', 'motion', 'gives', 'rise', 'to', 'an', 'inversion', 'of', 'hydrodynamic', 'flow', 'direction', 'in', 'the', 'vicinity', 'of', 'the', 'brushcoated', 'surface', 'utilising', 'couette', 'and', 'poiseuille', 'flow', 'we', 'investigate', 'to', 'what', 'extend', 'the', 'effect', 'of', 'a', 'brushcoated', 'surface', 'can', 'be', 'described', 'by', 'a', 'navier', 'slip', 'condition']] | [-0.21411226659351698, 0.18081271021967432, -0.13879151332897144, -0.039641921672856906, 0.0010068418684406816, -0.11585829660696821, -0.06101795666411554, 0.3757395903344884, -0.2955084647461076, -0.22743022812869854, 0.040696322500148666, -0.23007116550753745, -0.11589504961168097, 0.1343678378752459, -0.01922144901842993, 0.04373106217473119, 0.06601993660072614, -0.028759700249147244, -0.027110162335796124, -0.13246987371000452, 0.21904300181978495, 0.03434340451260872, 0.2938426436995652, 0.021737841895246166, 0.08117133205773953, -0.030267643885878482, 0.05673992418179236, 0.09408994006410798, -0.29311568383814246, 0.06728383097101316, 0.18841026793669247, -0.0601873489740853, 0.16260035351684718, -0.5025562648095678, -0.22151725317534304, 0.060093586707365844, 0.17509668977565576, 0.1797933306057598, -0.016629195267282355, -0.26331513200964884, 0.04541381035831313, -0.14359012397580614, -0.17029768939208345, -0.022347764244790527, -0.0011269693267227055, 0.10630909339350726, -0.19833035417179637, 0.15998293140850892, 0.08179529121136903, 0.1588193800248136, -0.05981639150321205, -0.024993438230148542, -0.0730891487796173, 0.12280176368990268, 0.06602170813619812, -0.01877086230327384, 0.2448421405915554, -0.16729005866588276, -0.019999208250822863, 0.42035721883038496, -0.08485500569886172, -0.24444628423340967, 0.23939081461595318, -0.13734052223196933, -0.07710034145634169, 0.22145231530314016, 0.18115539915824883, 0.09487674133765085, -0.1380381012927288, -0.017600108923161484, -0.08698400405940608, 0.15328312241450545, 0.11043258544893186, -0.08368208593140557, 0.2250629660421025, 0.17625170180826474, 0.060525591624465504, 0.2515117758743587, -0.13069237697277672, -0.14652417563163092, -0.25311124650652683, -0.19084002366441816, -0.1497802483244303, 0.0644034458689879, -0.1015028960255647, -0.19157430099184128, 0.34188847560609614, 0.0713361666590045, 0.17821116185046418, 0.03584547845698963, 0.2336840763444377, 0.012213670413627803, -0.013562008668886167, 0.09149845937597696, 0.2325354482669592, 0.19832614011775318, 0.09721289058520555, -0.2944037849823378, 0.07857867427361763, 0.07769966491054152] |
708.4246 | Radio and Infrared observations of Transition Objects | Observing objects in transition from pre- to young Planetary Nebula (PN),
when the central star radiation starts to excite the envelope, can help us to
understand the evolution of the circumstellar ejecta and their shaping
mechanism/s. In our project we have selected a sample of hot post-AGB stars as
Transition Phase candidates. Radio observations have led to detect free-free
radiation from an ionized shell in about half of our targets, providing us with
two sub-samples of ionized and non ionized Transition Objects. We are now using
IRAC and IRS on the Spitzer Space Telescope to determine if extended emission
is present (IRAC) and to study our targets' chemistry (IRS). In particular, by
comparing spectra from the two sub-samples, the IRS observations will enable us
to check how the presence of an ionization front effects the circumstellar
envelope. The IRAC measurements, combined with previous ones in the literature,
will give us information on the extent and physical conditions of the dust
components.
| astro-ph | observing objects in transition from pre to young planetary nebula pn when the central star radiation starts to excite the envelope can help us to understand the evolution of the circumstellar ejecta and their shaping mechanisms in our project we have selected a sample of hot postagb stars as transition phase candidates radio observations have led to detect freefree radiation from an ionized shell in about half of our targets providing us with two subsamples of ionized and non ionized transition objects we are now using irac and irs on the spitzer space telescope to determine if extended emission is present irac and to study our targets chemistry irs in particular by comparing spectra from the two subsamples the irs observations will enable us to check how the presence of an ionization front effects the circumstellar envelope the irac measurements combined with previous ones in the literature will give us information on the extent and physical conditions of the dust components | [['observing', 'objects', 'in', 'transition', 'from', 'pre', 'to', 'young', 'planetary', 'nebula', 'pn', 'when', 'the', 'central', 'star', 'radiation', 'starts', 'to', 'excite', 'the', 'envelope', 'can', 'help', 'us', 'to', 'understand', 'the', 'evolution', 'of', 'the', 'circumstellar', 'ejecta', 'and', 'their', 'shaping', 'mechanisms', 'in', 'our', 'project', 'we', 'have', 'selected', 'a', 'sample', 'of', 'hot', 'postagb', 'stars', 'as', 'transition', 'phase', 'candidates', 'radio', 'observations', 'have', 'led', 'to', 'detect', 'freefree', 'radiation', 'from', 'an', 'ionized', 'shell', 'in', 'about', 'half', 'of', 'our', 'targets', 'providing', 'us', 'with', 'two', 'subsamples', 'of', 'ionized', 'and', 'non', 'ionized', 'transition', 'objects', 'we', 'are', 'now', 'using', 'irac', 'and', 'irs', 'on', 'the', 'spitzer', 'space', 'telescope', 'to', 'determine', 'if', 'extended', 'emission', 'is', 'present', 'irac', 'and', 'to', 'study', 'our', 'targets', 'chemistry', 'irs', 'in', 'particular', 'by', 'comparing', 'spectra', 'from', 'the', 'two', 'subsamples', 'the', 'irs', 'observations', 'will', 'enable', 'us', 'to', 'check', 'how', 'the', 'presence', 'of', 'an', 'ionization', 'front', 'effects', 'the', 'circumstellar', 'envelope', 'the', 'irac', 'measurements', 'combined', 'with', 'previous', 'ones', 'in', 'the', 'literature', 'will', 'give', 'us', 'information', 'on', 'the', 'extent', 'and', 'physical', 'conditions', 'of', 'the', 'dust', 'components']] | [-0.005679090112709492, 0.08901662308081365, -0.1097770562476438, 0.038266689768957654, -0.13339009898228812, -0.05186039467070321, 0.06089426184026814, 0.4520150250899866, -0.17030361518321663, -0.3402329574668815, 0.05978540814357306, -0.29776805425814773, -0.036281502855180975, 0.14325416125125767, -0.05080796704737481, -0.05874677517838915, 0.06361819006884413, -0.1422160876718182, -0.013513872602387615, -0.2581291631506235, 0.33695785923982446, 0.1075938697315041, 0.11659899960208384, -0.024099485497482073, 0.01851860921170493, -0.10966055214069552, -0.11278326480261842, -0.07084323547983698, -0.15678214618751074, 0.07143447367092652, 0.2642757803221922, 0.14115291813197575, 0.16948411477185923, -0.4140497477931135, -0.2303641013054883, 0.0537516621450506, 0.17890024953955633, 0.042501678201514556, -0.006677708584202095, -0.3001399152559338, 0.0371727122699622, -0.1723491004769407, -0.1859653018478605, 0.03072983449359673, 0.03209856817186434, 0.016825743700718935, -0.2423097741101747, 0.012387510123720497, -0.0060532228878022445, 0.06180377996972074, -0.14847737107344944, -0.0941597262703993, -0.060125885423567865, 0.16361469190559777, -0.025596677817357992, 0.019709107052442266, 0.17177070056663837, -0.1412943060891645, -0.04002121325021159, 0.3887391579771264, -0.06156734254078141, -0.0192850106196935, 0.28389029956845024, -0.23009853410066006, -0.1630396551527777, 0.21497858799299838, 0.16617565615657973, 0.12640724583159804, -0.15187825806282015, -0.009314393691547932, -0.015047124257276518, 0.2088216507882574, 0.05181295072706127, 0.11144009075179603, 0.3237011275074867, 0.0842517826573125, -0.002719722073989767, 0.18014903286159595, -0.2529757089872399, -0.05750594680885906, -0.2475665783947435, -0.13238414452101757, -0.10770446771136861, 0.07134192139170602, -0.09034753615940092, -0.10196025249123811, 0.3305772126837408, 0.1621238195484863, 0.17537386373541555, -0.012091091249762854, 0.3025343502460985, 0.03759174584917238, 0.08185004394194863, 0.1082810425396245, 0.3206128489908687, 0.19812544012552138, 0.11365194249354442, -0.23400784246131823, 0.08933454476042378, -0.01872127084929195] |
708.4247 | Symmetries, conservation laws and exact solutions of static plasma
equilibrium systems in three dimensions | For static reductions of isotropic and anisotropic Magnetohydrodynamics
plasma equilibrium models, a complete classification of admitted point
symmetries and conservation laws up to first order is presented. It is shown
that the symmetry algebra for the isotropic equations is finite-dimensional,
whereas anisotropic equations admit infinite symmetries depending on a free
function defined on the set of magnetic surfaces. A direct transformation is
established between isotropic and anisotropic equations, which provides an
efficient way of constructing new exact anisotropic solutions. In particular,
axially and helically symmetric anisotropic plasma equilibria arise from
classical Grad-Shafranov and JFKO equations.
| math-ph math.MP | for static reductions of isotropic and anisotropic magnetohydrodynamics plasma equilibrium models a complete classification of admitted point symmetries and conservation laws up to first order is presented it is shown that the symmetry algebra for the isotropic equations is finitedimensional whereas anisotropic equations admit infinite symmetries depending on a free function defined on the set of magnetic surfaces a direct transformation is established between isotropic and anisotropic equations which provides an efficient way of constructing new exact anisotropic solutions in particular axially and helically symmetric anisotropic plasma equilibria arise from classical gradshafranov and jfko equations | [['for', 'static', 'reductions', 'of', 'isotropic', 'and', 'anisotropic', 'magnetohydrodynamics', 'plasma', 'equilibrium', 'models', 'a', 'complete', 'classification', 'of', 'admitted', 'point', 'symmetries', 'and', 'conservation', 'laws', 'up', 'to', 'first', 'order', 'is', 'presented', 'it', 'is', 'shown', 'that', 'the', 'symmetry', 'algebra', 'for', 'the', 'isotropic', 'equations', 'is', 'finitedimensional', 'whereas', 'anisotropic', 'equations', 'admit', 'infinite', 'symmetries', 'depending', 'on', 'a', 'free', 'function', 'defined', 'on', 'the', 'set', 'of', 'magnetic', 'surfaces', 'a', 'direct', 'transformation', 'is', 'established', 'between', 'isotropic', 'and', 'anisotropic', 'equations', 'which', 'provides', 'an', 'efficient', 'way', 'of', 'constructing', 'new', 'exact', 'anisotropic', 'solutions', 'in', 'particular', 'axially', 'and', 'helically', 'symmetric', 'anisotropic', 'plasma', 'equilibria', 'arise', 'from', 'classical', 'gradshafranov', 'and', 'jfko', 'equations']] | [-0.16202486246363557, 0.13718004635317832, -0.07633901201683949, 0.06936795967432888, -0.12729543707075905, -0.14311048866527037, -0.07445736094675165, 0.33132700126697406, -0.2681901449179079, -0.2623129404011242, 0.08149149794468379, -0.24640403874218464, -0.11576777304265093, 0.17531037807187183, 0.04198905872181058, 0.05657920544531117, 0.00778119101565569, -0.018887799515567245, -0.15054060234886377, -0.1927013373537425, 0.3554652053961887, 0.01961851798671674, 0.3334338027349812, -0.01587320710631444, 0.18337298800395999, -0.014813855131889911, -0.011406040433397952, 0.08099059583718314, -0.17140540343771524, 0.05620676041283506, 0.23720915641988152, -0.012576524485298928, 0.14340175302362346, -0.4265130803068268, -0.20729647496556666, 0.08686470494982093, 0.13039455840369052, 0.14407122119681592, -0.07625888155505775, -0.25677929370307384, 0.051491408321530895, -0.16274283152628452, -0.23110820834049361, -0.10690692714861337, 0.05183359574368025, 0.03486934737203286, -0.3063235087716516, 0.1616132019926033, 0.12844854580396983, 0.047003677441797995, -0.17465885966382128, -0.05592065308976205, -0.0852628299951593, 0.03548613985742819, 0.027302218788115187, 0.0017195284277438483, 0.07138193895708413, -0.11848675075948159, -0.11428434922894899, 0.42379226010451293, -0.013290851254343115, -0.29892025288551094, 0.1684323203195124, -0.07929821977233316, -0.09121276400091642, 0.15698033205649636, 0.15881275706131884, 0.15703589439719043, -0.14717499722548305, 0.1597833225888725, -0.08099965824240303, 0.08592581680630323, 0.06329772997885308, -0.06171535747621129, 0.18760696129794133, 0.08830277739399846, 0.09882572279410794, 0.13684831504175005, 0.05065242419554357, -0.16841407140043188, -0.3391862991761337, -0.13072437626938832, -0.12839841281876285, 0.1386816717902238, -0.11983774006233595, -0.25102874244398565, 0.35157788289274944, 0.07433547856511567, 0.06103412103541988, -0.018297464744078906, 0.21794015224626723, 0.1542309790521803, -0.004844567049889171, 0.14441022119346134, 0.22746056993987332, 0.19816034057851326, 0.07352907910566539, -0.18900825646755465, -0.030740987019058554, 0.13922372534177563] |
708.4248 | The Band Excitation Method in Scanning Probe Microscopy for Rapid
Mapping of Energy Dissipation on the Nanoscale | Mapping energy transformation pathways and dissipation on the nanoscale and
understanding the role of local structure on dissipative behavior is a
challenge for imaging in areas ranging from electronics and information
technologies to efficient energy production. Here we develop a novel Scanning
Probe Microscopy (SPM) technique in which the cantilever is excited and the
response is recorded over a band of frequencies simultaneously rather than at a
single frequency as in conventional SPMs. This band excitation (BE) SPM allows
very rapid acquisition of the full frequency response at each point (i.e.
transfer function) in an image and in particular enables the direct measurement
of energy dissipation through the determination of the Q-factor of the
cantilever-sample system. The BE method is demonstrated for force-distance and
voltage spectroscopies and for magnetic dissipation imaging with sensitivity
close to the thermomechanical limit. The applicability of BE for various SPMs
is analyzed, and the method is expected to be universally applicable to all
ambient and liquid SPMs.
| cond-mat.mtrl-sci | mapping energy transformation pathways and dissipation on the nanoscale and understanding the role of local structure on dissipative behavior is a challenge for imaging in areas ranging from electronics and information technologies to efficient energy production here we develop a novel scanning probe microscopy spm technique in which the cantilever is excited and the response is recorded over a band of frequencies simultaneously rather than at a single frequency as in conventional spms this band excitation be spm allows very rapid acquisition of the full frequency response at each point ie transfer function in an image and in particular enables the direct measurement of energy dissipation through the determination of the qfactor of the cantileversample system the be method is demonstrated for forcedistance and voltage spectroscopies and for magnetic dissipation imaging with sensitivity close to the thermomechanical limit the applicability of be for various spms is analyzed and the method is expected to be universally applicable to all ambient and liquid spms | [['mapping', 'energy', 'transformation', 'pathways', 'and', 'dissipation', 'on', 'the', 'nanoscale', 'and', 'understanding', 'the', 'role', 'of', 'local', 'structure', 'on', 'dissipative', 'behavior', 'is', 'a', 'challenge', 'for', 'imaging', 'in', 'areas', 'ranging', 'from', 'electronics', 'and', 'information', 'technologies', 'to', 'efficient', 'energy', 'production', 'here', 'we', 'develop', 'a', 'novel', 'scanning', 'probe', 'microscopy', 'spm', 'technique', 'in', 'which', 'the', 'cantilever', 'is', 'excited', 'and', 'the', 'response', 'is', 'recorded', 'over', 'a', 'band', 'of', 'frequencies', 'simultaneously', 'rather', 'than', 'at', 'a', 'single', 'frequency', 'as', 'in', 'conventional', 'spms', 'this', 'band', 'excitation', 'be', 'spm', 'allows', 'very', 'rapid', 'acquisition', 'of', 'the', 'full', 'frequency', 'response', 'at', 'each', 'point', 'ie', 'transfer', 'function', 'in', 'an', 'image', 'and', 'in', 'particular', 'enables', 'the', 'direct', 'measurement', 'of', 'energy', 'dissipation', 'through', 'the', 'determination', 'of', 'the', 'qfactor', 'of', 'the', 'cantileversample', 'system', 'the', 'be', 'method', 'is', 'demonstrated', 'for', 'forcedistance', 'and', 'voltage', 'spectroscopies', 'and', 'for', 'magnetic', 'dissipation', 'imaging', 'with', 'sensitivity', 'close', 'to', 'the', 'thermomechanical', 'limit', 'the', 'applicability', 'of', 'be', 'for', 'various', 'spms', 'is', 'analyzed', 'and', 'the', 'method', 'is', 'expected', 'to', 'be', 'universally', 'applicable', 'to', 'all', 'ambient', 'and', 'liquid', 'spms']] | [-0.09625153587038779, 0.11426608860401083, -0.08404078918658657, 0.009613431383637183, -0.04149744467936272, -0.11601149890410864, 0.04599905443157897, 0.38319266585483686, -0.2843029260991808, -0.31976334091827824, 0.0898202950685331, -0.25671194413726084, -0.12067503717520998, 0.26640335216336414, -0.006658595587834026, 0.045391545534697306, 0.026197463025361942, 0.0034629189693886372, -0.03626769055888333, -0.11506133463469415, 0.25516791909898595, 0.0920134532235902, 0.3428289318244536, 0.08274051678125505, 0.10199030903584819, 0.025525692896342572, 0.027652184388752638, -0.0013294435913938983, -0.10474003956618684, 0.10080739078226925, 0.2899769128380734, 0.043700209547144674, 0.24888347558257526, -0.42146206904708605, -0.21424722743082653, 0.05310939193634427, 0.11712862570327419, 0.11492608145186907, -0.04730150398200401, -0.23232709507193464, 0.06586599600052943, -0.13282514937267995, -0.1039474880233706, -0.0998877661768347, 0.0029532420980732566, 0.014808363535399778, -0.29588221966894057, 0.08542118264213733, 0.0059199776977622584, 0.07876193306242105, -0.09160448685410594, -0.036983324050253695, -0.004238078066717005, 0.11508303294177483, -0.012474170541045842, 0.041547611642508184, 0.17687839258140253, -0.1464595486752022, -0.08058386397717612, 0.3682468124855034, -0.05530914897862664, -0.14820640532294127, 0.2157343537259249, -0.15702102744353957, -0.05594026794395536, 0.18076223898736507, 0.1594475334521705, 0.11030905906478931, -0.17571558754337466, 0.04698786508531977, 0.06489377468824387, 0.19502176243016342, 0.07626304687805657, 0.08669137651313465, 0.2213472046668032, 0.2518293741374725, 0.07720059428628488, 0.12905129270173932, -0.1625994322649031, -0.01914208286073933, -0.23957618636389574, -0.18226422348209184, -0.20505649540185308, 0.037873213952637194, -0.04179506630675916, -0.12606707363055997, 0.42842788619483696, 0.14562430369012333, 0.15961620726415682, -0.013391510933424909, 0.34535213501227124, 0.1370957562229941, 0.0934657664814343, 0.004302809805390827, 0.2599737496908616, 0.1306451511681425, 0.12702779812999876, -0.2563019236492246, 0.04125589710361336, -0.012379540843360218] |
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