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708.2149 | When do stepwise algorithms meet subset selection criteria? | Recent results in homotopy and solution paths demonstrate that certain
well-designed greedy algorithms, with a range of values of the algorithmic
parameter, can provide solution paths to a sequence of convex optimization
problems. On the other hand, in regression many existing criteria in subset
selection (including $C_p$, AIC, BIC, MDL, RIC, etc.) involve optimizing an
objective function that contains a counting measure. The two optimization
problems are formulated as (P1) and (P0) in the present paper. The latter is
generally combinatoric and has been proven to be NP-hard. We study the
conditions under which the two optimization problems have common solutions.
Hence, in these situations a stepwise algorithm can be used to solve the
seemingly unsolvable problem. Our main result is motivated by recent work in
sparse representation, while two others emerge from different angles: a direct
analysis of sufficiency and necessity and a condition on the mostly correlated
covariates. An extreme example connected with least angle regression is of
independent interest.
| math.ST stat.TH | recent results in homotopy and solution paths demonstrate that certain welldesigned greedy algorithms with a range of values of the algorithmic parameter can provide solution paths to a sequence of convex optimization problems on the other hand in regression many existing criteria in subset selection including c_p aic bic mdl ric etc involve optimizing an objective function that contains a counting measure the two optimization problems are formulated as p1 and p0 in the present paper the latter is generally combinatoric and has been proven to be nphard we study the conditions under which the two optimization problems have common solutions hence in these situations a stepwise algorithm can be used to solve the seemingly unsolvable problem our main result is motivated by recent work in sparse representation while two others emerge from different angles a direct analysis of sufficiency and necessity and a condition on the mostly correlated covariates an extreme example connected with least angle regression is of independent interest | [['recent', 'results', 'in', 'homotopy', 'and', 'solution', 'paths', 'demonstrate', 'that', 'certain', 'welldesigned', 'greedy', 'algorithms', 'with', 'a', 'range', 'of', 'values', 'of', 'the', 'algorithmic', 'parameter', 'can', 'provide', 'solution', 'paths', 'to', 'a', 'sequence', 'of', 'convex', 'optimization', 'problems', 'on', 'the', 'other', 'hand', 'in', 'regression', 'many', 'existing', 'criteria', 'in', 'subset', 'selection', 'including', 'c_p', 'aic', 'bic', 'mdl', 'ric', 'etc', 'involve', 'optimizing', 'an', 'objective', 'function', 'that', 'contains', 'a', 'counting', 'measure', 'the', 'two', 'optimization', 'problems', 'are', 'formulated', 'as', 'p1', 'and', 'p0', 'in', 'the', 'present', 'paper', 'the', 'latter', 'is', 'generally', 'combinatoric', 'and', 'has', 'been', 'proven', 'to', 'be', 'nphard', 'we', 'study', 'the', 'conditions', 'under', 'which', 'the', 'two', 'optimization', 'problems', 'have', 'common', 'solutions', 'hence', 'in', 'these', 'situations', 'a', 'stepwise', 'algorithm', 'can', 'be', 'used', 'to', 'solve', 'the', 'seemingly', 'unsolvable', 'problem', 'our', 'main', 'result', 'is', 'motivated', 'by', 'recent', 'work', 'in', 'sparse', 'representation', 'while', 'two', 'others', 'emerge', 'from', 'different', 'angles', 'a', 'direct', 'analysis', 'of', 'sufficiency', 'and', 'necessity', 'and', 'a', 'condition', 'on', 'the', 'mostly', 'correlated', 'covariates', 'an', 'extreme', 'example', 'connected', 'with', 'least', 'angle', 'regression', 'is', 'of', 'independent', 'interest']] | [-0.11950938524333415, 0.03326334847251591, -0.10187161904702216, 0.07127032074200587, -0.11430201577568817, -0.19240568290223126, 0.03640937221374501, 0.40099704292039445, -0.30771131148090425, -0.2986911447074862, 0.15859171666958036, -0.23704614562706816, -0.18619803001782226, 0.21457906845198185, -0.12220936710083927, 0.09753476980116785, 0.08325022998493004, 0.018936007785399583, -0.049245405249817895, -0.27703301321763985, 0.301512189107508, -0.018647933730936067, 0.2664866716378229, 0.045312252450076126, 0.08067764192431544, 0.028284616802853567, -0.004932334005579721, 0.0761004609334639, -0.11976605803135533, 0.10741646100413399, 0.32485368152229505, 0.19540893281036578, 0.33677726656336476, -0.3829719775563313, -0.21334856654873785, 0.15477647509621342, 0.13846956579378278, 0.06382122775324171, -0.03374897536856157, -0.21499421492213222, 0.07419170211011797, -0.10095289563217609, -0.05475194199746589, -0.06317031887118463, -0.025910636203156576, 0.026004909553182784, -0.31927200435534303, 0.05133809596530081, 0.06860344207351222, 0.034717916128697034, -0.06974533716803072, -0.1636970706174817, 0.06418213274194802, 0.07307690185678686, 0.09162776854358481, 0.04367323880469036, 0.07959029655170592, -0.11582281631198396, -0.16294794705018034, 0.3748795801491971, 0.014049832852856244, -0.23973580781100204, 0.20153093466788163, -0.043377949905087365, -0.1713374308310449, 0.12451818367512321, 0.16196639114634398, 0.16754656933775505, -0.15548157484420103, 0.06920909410289397, -0.08094888285124376, 0.12857938137618297, 0.07099914825866344, 0.010462707494971928, 0.14553350936707662, 0.154096493263223, 0.13161758808555646, 0.1440717051481903, -0.024564121329559038, -0.09133666516051708, -0.26994109921801235, -0.10239077339891667, -0.1846325695744635, 0.004614390709500668, -0.1148588721207264, -0.16451766792351358, 0.3693625528169911, 0.13836298268115907, 0.20613374381993013, 0.059196500152559305, 0.29290418622923303, 0.10831427418434257, 0.02520999885007454, 0.052144928633402116, 0.21826207684784163, 0.12882077546767245, 0.03366067200858882, -0.15701021538489718, 0.09914195013267023, 0.08085574558648614] |
708.215 | Local partial likelihood estimation in proportional hazards regression | Fan, Gijbels and King [Ann. Statist. 25 (1997) 1661--1690] considered the
estimation of the risk function $\psi (x)$ in the proportional hazards model.
Their proposed estimator is based on integrating the estimated derivative
function obtained through a local version of the partial likelihood. They
proved the large sample properties of the derivative function, but the large
sample properties of the estimator for the risk function itself were not
established. In this paper, we consider direct estimation of the relative risk
function $\psi (x_2)-\psi (x_1)$ for any location normalization point $x_1$.
The main novelty in our approach is that we select observations in shrinking
neighborhoods of both $x_1$ and $x_2$ when constructing a local version of the
partial likelihood, whereas Fan, Gijbels and King [Ann. Statist. 25 (1997)
1661--1690] only concentrated on a single neighborhood, resulting in the
cancellation of the risk function in the local likelihood function. The
asymptotic properties of our estimator are rigorously established and the
variance of the estimator is easily estimated. The idea behind our approach is
extended to estimate the differences between groups. A simulation study is
carried out.
| math.ST stat.TH | fan gijbels and king ann statist 25 1997 16611690 considered the estimation of the risk function psi x in the proportional hazards model their proposed estimator is based on integrating the estimated derivative function obtained through a local version of the partial likelihood they proved the large sample properties of the derivative function but the large sample properties of the estimator for the risk function itself were not established in this paper we consider direct estimation of the relative risk function psi x_2psi x_1 for any location normalization point x_1 the main novelty in our approach is that we select observations in shrinking neighborhoods of both x_1 and x_2 when constructing a local version of the partial likelihood whereas fan gijbels and king ann statist 25 1997 16611690 only concentrated on a single neighborhood resulting in the cancellation of the risk function in the local likelihood function the asymptotic properties of our estimator are rigorously established and the variance of the estimator is easily estimated the idea behind our approach is extended to estimate the differences between groups a simulation study is carried out | [['fan', 'gijbels', 'and', 'king', 'ann', 'statist', '25', '1997', '16611690', 'considered', 'the', 'estimation', 'of', 'the', 'risk', 'function', 'psi', 'x', 'in', 'the', 'proportional', 'hazards', 'model', 'their', 'proposed', 'estimator', 'is', 'based', 'on', 'integrating', 'the', 'estimated', 'derivative', 'function', 'obtained', 'through', 'a', 'local', 'version', 'of', 'the', 'partial', 'likelihood', 'they', 'proved', 'the', 'large', 'sample', 'properties', 'of', 'the', 'derivative', 'function', 'but', 'the', 'large', 'sample', 'properties', 'of', 'the', 'estimator', 'for', 'the', 'risk', 'function', 'itself', 'were', 'not', 'established', 'in', 'this', 'paper', 'we', 'consider', 'direct', 'estimation', 'of', 'the', 'relative', 'risk', 'function', 'psi', 'x_2psi', 'x_1', 'for', 'any', 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0.04354846656284049, -0.19001285790836242, 0.13080389461305136, 0.09072834785605745] |
708.2151 | Mapping the distribution of luminous and dark matter in strong lensing
galaxies | We present the distribution of luminous and dark matter in a set of strong
lensing (early-type) galaxies. By combining two independent techniques -
stellar population synthesis and gravitational lensing - we can compare the
baryonic and dark matter content in these galaxies within the regions that can
be probed using the images of the lensed background source. Two samples were
studied, extracted from the CASTLES and SLACS surveys. The former probes a
wider range of redshifts and allows us to explore the mass distribution out to
~5Re. The high resolution optical images of the latter (using HST/ACS) are used
to show a pixellated map of the ratio between total and baryonic matter. We
find dark matter to be absent in the cores of these galaxies, with an
increasing contribution at projected radii R>Re. The slopes are roughly
compatible with an isothermal slope (better interpreted as an adiabatically
contracted NFW profile), but a large scatter in the slope exists among
galaxies. There is a trend suggesting most massive galaxies have a higher
content of dark matter in the regions probed by this analysis.
| astro-ph | we present the distribution of luminous and dark matter in a set of strong lensing earlytype galaxies by combining two independent techniques stellar population synthesis and gravitational lensing we can compare the baryonic and dark matter content in these galaxies within the regions that can be probed using the images of the lensed background source two samples were studied extracted from the castles and slacs surveys the former probes a wider range of redshifts and allows us to explore the mass distribution out to 5re the high resolution optical images of the latter using hstacs are used to show a pixellated map of the ratio between total and baryonic matter we find dark matter to be absent in the cores of these galaxies with an increasing contribution at projected radii rre the slopes are roughly compatible with an isothermal slope better interpreted as an adiabatically contracted nfw profile but a large scatter in the slope exists among galaxies there is a trend suggesting most massive galaxies have a higher content of dark matter in the regions probed by this analysis | [['we', 'present', 'the', 'distribution', 'of', 'luminous', 'and', 'dark', 'matter', 'in', 'a', 'set', 'of', 'strong', 'lensing', 'earlytype', 'galaxies', 'by', 'combining', 'two', 'independent', 'techniques', 'stellar', 'population', 'synthesis', 'and', 'gravitational', 'lensing', 'we', 'can', 'compare', 'the', 'baryonic', 'and', 'dark', 'matter', 'content', 'in', 'these', 'galaxies', 'within', 'the', 'regions', 'that', 'can', 'be', 'probed', 'using', 'the', 'images', 'of', 'the', 'lensed', 'background', 'source', 'two', 'samples', 'were', 'studied', 'extracted', 'from', 'the', 'castles', 'and', 'slacs', 'surveys', 'the', 'former', 'probes', 'a', 'wider', 'range', 'of', 'redshifts', 'and', 'allows', 'us', 'to', 'explore', 'the', 'mass', 'distribution', 'out', 'to', '5re', 'the', 'high', 'resolution', 'optical', 'images', 'of', 'the', 'latter', 'using', 'hstacs', 'are', 'used', 'to', 'show', 'a', 'pixellated', 'map', 'of', 'the', 'ratio', 'between', 'total', 'and', 'baryonic', 'matter', 'we', 'find', 'dark', 'matter', 'to', 'be', 'absent', 'in', 'the', 'cores', 'of', 'these', 'galaxies', 'with', 'an', 'increasing', 'contribution', 'at', 'projected', 'radii', 'rre', 'the', 'slopes', 'are', 'roughly', 'compatible', 'with', 'an', 'isothermal', 'slope', 'better', 'interpreted', 'as', 'an', 'adiabatically', 'contracted', 'nfw', 'profile', 'but', 'a', 'large', 'scatter', 'in', 'the', 'slope', 'exists', 'among', 'galaxies', 'there', 'is', 'a', 'trend', 'suggesting', 'most', 'massive', 'galaxies', 'have', 'a', 'higher', 'content', 'of', 'dark', 'matter', 'in', 'the', 'regions', 'probed', 'by', 'this', 'analysis']] | [-0.07577071054838598, 0.09831340068703867, -0.12298351476331137, 0.12841406139131223, -0.07377943070362865, -0.052146550270521806, -0.012291514175012707, 0.39948118713994824, -0.15972694011935445, -0.39038867353358203, 0.011560061407767028, -0.30991354144522726, -0.01884938527881685, 0.19020547555780165, 0.00585183460239528, -0.002574288917821832, -0.006613749630438785, -0.08148392267111275, -0.07186425660749794, -0.27682483019436604, 0.33267293595967606, 0.045494331939456366, 0.21151158038216333, -0.05018912361313899, 0.08009184486129217, -0.06698817206391444, -0.111121861403808, 0.032918716185829706, -0.14873094869823641, 0.04687505340617564, 0.24258756793569775, 0.13842944087320777, 0.1987493409904548, -0.35665608894390366, -0.20379610277143204, 0.14601904216170725, 0.2118927855665485, 0.07836680259659058, -0.0994230888887412, -0.3074408198810286, 0.07928342535936585, -0.1743861603136692, -0.1277888976270333, 0.019609011778245783, -0.016249174726868255, 0.035981303218674536, -0.20283787823282182, 0.17474847129908286, -0.029271456172379355, 0.03140623995051202, -0.08272198714193009, -0.11394888205298533, -0.06109005218087178, 0.05814418000324319, 0.02436395428634973, 0.05897909950775405, 0.21395417771871306, -0.20500456315801582, 0.006801324270458685, 0.4114832903077412, -0.10915908410032797, -0.06808389648277727, 0.20658330614807913, -0.18468524015883708, -0.15441683896610306, 0.10871760883472031, 0.15368599489989315, 0.07951945494084309, -0.1433502222152634, 0.023101351441841365, -0.03748664365589826, 0.25720528138594495, 0.049772281568665575, 0.0335888394613802, 0.3700015810499382, 0.11126335758146727, 0.0669954922703457, 0.09277204130258825, -0.17387288966112666, 0.008250174433406856, -0.2357856291372122, -0.08879929567273293, -0.14789641519148264, 0.032112561368719775, -0.13832615303098364, -0.08843133037702905, 0.33243903919582307, 0.09787518362799245, 0.24762333056165112, 0.08041828143306905, 0.3051208851412715, 0.07996428430819327, 0.13225371834382207, 0.07467876645581176, 0.3191598235713577, 0.1675664236355159, 0.06780875607316071, -0.20448561268664586, -0.00014241280797351567, -0.04380203232996994] |
708.2152 | Coupling, concentration inequalities and stochastic dynamics | In the context of interacting particle systems, we study the influence of the
action of the semigroup on the concentration property of Lipschitz functions.
As an application, this gives a new approach to estimate the relaxation speed
to equilibrium of interacting particle systems. We illustrate our approach in a
variety of examples for which we obtain several new results with short and
non-technical proofs. These examples include the symmetric and asymmetric
exclusion process and high-temperature spin-flip dynamics ("Glauber dynamics").
We also give a new proof of the Poincar\'e inequality, based on coupling, in
the context of one-dimensional Gibbs measures. In particular, we cover the case
of polynomially decaying potentials, where the log-Sobolev inequality does not
hold.
| math.PR math-ph math.MP | in the context of interacting particle systems we study the influence of the action of the semigroup on the concentration property of lipschitz functions as an application this gives a new approach to estimate the relaxation speed to equilibrium of interacting particle systems we illustrate our approach in a variety of examples for which we obtain several new results with short and nontechnical proofs these examples include the symmetric and asymmetric exclusion process and hightemperature spinflip dynamics glauber dynamics we also give a new proof of the poincare inequality based on coupling in the context of onedimensional gibbs measures in particular we cover the case of polynomially decaying potentials where the logsobolev inequality does not hold | [['in', 'the', 'context', 'of', 'interacting', 'particle', 'systems', 'we', 'study', 'the', 'influence', 'of', 'the', 'action', 'of', 'the', 'semigroup', 'on', 'the', 'concentration', 'property', 'of', 'lipschitz', 'functions', 'as', 'an', 'application', 'this', 'gives', 'a', 'new', 'approach', 'to', 'estimate', 'the', 'relaxation', 'speed', 'to', 'equilibrium', 'of', 'interacting', 'particle', 'systems', 'we', 'illustrate', 'our', 'approach', 'in', 'a', 'variety', 'of', 'examples', 'for', 'which', 'we', 'obtain', 'several', 'new', 'results', 'with', 'short', 'and', 'nontechnical', 'proofs', 'these', 'examples', 'include', 'the', 'symmetric', 'and', 'asymmetric', 'exclusion', 'process', 'and', 'hightemperature', 'spinflip', 'dynamics', 'glauber', 'dynamics', 'we', 'also', 'give', 'a', 'new', 'proof', 'of', 'the', 'poincare', 'inequality', 'based', 'on', 'coupling', 'in', 'the', 'context', 'of', 'onedimensional', 'gibbs', 'measures', 'in', 'particular', 'we', 'cover', 'the', 'case', 'of', 'polynomially', 'decaying', 'potentials', 'where', 'the', 'logsobolev', 'inequality', 'does', 'not', 'hold']] | [-0.09512201571136568, 0.10726903262661051, -0.11561709222512255, 0.09390805590783202, -0.05440773827361007, -0.1447536720982592, 0.026363457745776094, 0.33244913888709815, -0.27120595020723753, -0.24038198880112632, 0.09916584241878369, -0.26522983009284684, -0.14400681246178434, 0.23429503442984523, -0.03929382901446059, 0.02947555522229683, 0.047852868888655614, 0.04627727778580297, -0.06109060585129492, -0.2461632990021387, 0.3382278781801719, 0.0017275427315576837, 0.23925964428304597, 0.1417677310407804, 0.09030039219490799, 0.04181217434735776, 0.008046952048156026, -0.009226386523644986, -0.18742914367587596, 0.13178231011562305, 0.1673121837415363, 0.0979291488304092, 0.24886930257820622, -0.41985822706643877, -0.18170901344173812, 0.1302755545375162, 0.1343881088220675, 0.12096427118000254, -0.09092616692289775, -0.2983841374978134, 0.0031760161228734872, -0.17708269706606095, -0.16958073337144894, -0.09913195070714273, -0.01162119360303442, 0.08326222162075533, -0.28528787754074636, 0.09409281540464345, 0.13691986243015733, 0.044842100766455305, -0.08324464293726688, -0.059369490361483444, 0.04377879814349179, 0.0623363022098382, 0.03934594715823989, -0.027657710298783434, 0.13520457316992868, -0.1020810139698683, -0.1487267642725532, 0.3477407211100618, -0.08348858891183446, -0.23288903704940758, 0.2320033375848464, -0.14904340882464473, -0.1722544950577591, 0.08028647027395923, 0.2170939259311377, 0.15050270075403988, -0.15011654425701448, 0.1231514186872338, -0.07135859680972223, 0.10126045441073325, 0.013274844366543252, 0.06013282550627302, 0.11806316985467706, 0.1622301657856763, 0.09757480711338977, 0.19266659695181418, -0.025747759307831013, -0.17720466193839393, -0.3724605354143242, -0.1808707342756077, -0.1830686431313897, 0.07124695275794285, -0.10712074353482579, -0.18636452857854552, 0.40580489757824045, 0.15628964885073746, 0.1768269244107771, 0.08893002530435454, 0.21035916960380716, 0.11395429165889348, 0.008594409646948093, 0.03536404149430194, 0.19667394955292272, 0.15786533869385463, 0.0880002179283424, -0.19155702633574476, 0.032837972491663474, 0.10764008057745302] |
708.2153 | Estimating the number of classes | Estimating the unknown number of classes in a population has numerous
important applications. In a Poisson mixture model, the problem is reduced to
estimating the odds that a class is undetected in a sample. The discontinuity
of the odds prevents the existence of locally unbiased and informative
estimators and restricts confidence intervals to be one-sided. Confidence
intervals for the number of classes are also necessarily one-sided. A sequence
of lower bounds to the odds is developed and used to define pseudo maximum
likelihood estimators for the number of classes.
| math.ST stat.TH | estimating the unknown number of classes in a population has numerous important applications in a poisson mixture model the problem is reduced to estimating the odds that a class is undetected in a sample the discontinuity of the odds prevents the existence of locally unbiased and informative estimators and restricts confidence intervals to be onesided confidence intervals for the number of classes are also necessarily onesided a sequence of lower bounds to the odds is developed and used to define pseudo maximum likelihood estimators for the number of classes | [['estimating', 'the', 'unknown', 'number', 'of', 'classes', 'in', 'a', 'population', 'has', 'numerous', 'important', 'applications', 'in', 'a', 'poisson', 'mixture', 'model', 'the', 'problem', 'is', 'reduced', 'to', 'estimating', 'the', 'odds', 'that', 'a', 'class', 'is', 'undetected', 'in', 'a', 'sample', 'the', 'discontinuity', 'of', 'the', 'odds', 'prevents', 'the', 'existence', 'of', 'locally', 'unbiased', 'and', 'informative', 'estimators', 'and', 'restricts', 'confidence', 'intervals', 'to', 'be', 'onesided', 'confidence', 'intervals', 'for', 'the', 'number', 'of', 'classes', 'are', 'also', 'necessarily', 'onesided', 'a', 'sequence', 'of', 'lower', 'bounds', 'to', 'the', 'odds', 'is', 'developed', 'and', 'used', 'to', 'define', 'pseudo', 'maximum', 'likelihood', 'estimators', 'for', 'the', 'number', 'of', 'classes']] | [-0.11948692974937933, 0.08741775117919184, -0.0704070231301731, 0.15061710902955383, -0.08170451028167866, -0.14070566607576407, 0.09434481365004492, 0.34841603105573843, -0.23089509402935424, -0.3275024386520466, 0.15479787834527578, -0.24595088624719824, -0.0582256037689578, 0.21547048329375684, -0.1116111720859837, 0.07313343816243238, 0.023616606170792927, 0.045084122913690766, -0.06492167689544515, -0.2544093563985289, 0.2968000173045511, 0.07666333219339924, 0.26240090515171544, -0.047299373455429346, 0.09192856610229427, -0.02125501889065745, -0.04120216162854366, 0.05331595805002732, -0.11360437727542765, 0.15952194176268963, 0.27284921783158617, 0.14848309283908667, 0.34752792236133573, -0.28272767842633145, -0.17713151834486576, 0.21767257804867257, 0.11811869972244197, 0.08255146799629993, 9.49188493966554e-05, -0.23668986293121, 0.1027847961705764, -0.16259006629933426, -0.10614399593637398, 0.004241478838696239, 0.014652339448587279, 0.0028343333580185858, -0.3358055999858326, 0.1195637956022918, 0.05579808907088918, 0.028177407203932827, -0.03453873524316744, -0.15674670482200853, -0.022206835302241733, 0.1049338930882932, 0.06566201127526675, -0.020363451243284043, 0.08913774083085944, -0.1273507361111932, -0.10197722281883942, 0.30215794337766894, -0.052811901378079076, -0.23421553836277362, 0.20983362643655096, -0.15361568054414532, -0.17043201822599166, 0.15812038344571763, 0.2061614517117275, 0.12802330322898506, -0.16734101715382566, 0.0726324334888447, -0.06294798488948453, 0.14339039085453817, 0.02633306363158012, 0.017404488151830235, 0.21395610892370845, 0.13199961479502112, 0.1205191592780057, 0.15091507100065898, -0.1279005001749048, -0.06779329273378833, -0.31769022332985747, -0.15221178309803599, -0.19667748342728597, -0.01760454143638189, -0.11765967420870674, -0.24216491852368993, 0.3791925432055854, 0.17155460828099023, 0.22120869443280977, 0.14714711989286575, 0.2223017229829402, 0.13211664351833502, 0.00948308522844415, 0.0722164708671024, 0.18802334442002216, 0.1616590508793512, -0.07483650057503347, -0.13464363129139784, 0.17647135001345632, 0.05707756885107648] |
708.2154 | Gain of analyticity for semilinear Schroedinger equations | We discuss gain of analyticity phenomenon of solutions to the initial value
problem for semilinear Schroedinger equations with gauge invariant
nonlinearity. We prove that if the initial data decays exponentially, then the
solution becomes real-analytic in the space variable and a Gevrey function of
order 2 in the time variable except in the initial plane. Our proof is based on
the energy estimates developed in our previous work and on fine summation
formulae concerned with a matrix norm.
| math.AP | we discuss gain of analyticity phenomenon of solutions to the initial value problem for semilinear schroedinger equations with gauge invariant nonlinearity we prove that if the initial data decays exponentially then the solution becomes realanalytic in the space variable and a gevrey function of order 2 in the time variable except in the initial plane our proof is based on the energy estimates developed in our previous work and on fine summation formulae concerned with a matrix norm | [['we', 'discuss', 'gain', 'of', 'analyticity', 'phenomenon', 'of', 'solutions', 'to', 'the', 'initial', 'value', 'problem', 'for', 'semilinear', 'schroedinger', 'equations', 'with', 'gauge', 'invariant', 'nonlinearity', 'we', 'prove', 'that', 'if', 'the', 'initial', 'data', 'decays', 'exponentially', 'then', 'the', 'solution', 'becomes', 'realanalytic', 'in', 'the', 'space', 'variable', 'and', 'a', 'gevrey', 'function', 'of', 'order', '2', 'in', 'the', 'time', 'variable', 'except', 'in', 'the', 'initial', 'plane', 'our', 'proof', 'is', 'based', 'on', 'the', 'energy', 'estimates', 'developed', 'in', 'our', 'previous', 'work', 'and', 'on', 'fine', 'summation', 'formulae', 'concerned', 'with', 'a', 'matrix', 'norm']] | [-0.15172001883053246, 0.07093171504498176, -0.09939166659060926, 0.0865420104102948, -0.09385451521628942, -0.1040275657716661, 0.013971011699117625, 0.31760031935305166, -0.260119901295417, -0.2305785029863891, 0.1434079503031591, -0.28916833482873744, -0.10709013093788272, 0.16618337832056942, -0.029711647603947382, 0.12283831597783436, 0.09390500503687714, 0.045974318702251486, -0.10055934567637263, -0.23719683733697122, 0.4196624089247332, -0.023270624410286427, 0.23010366555088416, 0.03953540270240643, 0.1122875382231238, 0.01768550098551294, -0.020660180025375806, -0.04527420399580688, -0.17638997566479167, 0.07779983074243109, 0.21275436812534165, 0.08625855621320601, 0.29513853970461357, -0.39959750573437375, -0.18677326708506697, 0.123533130909961, 0.14627460058396444, 0.09650693868454067, -0.03456928075338977, -0.2868179687991356, 0.0791123481780792, -0.09343269523173475, -0.21035190717800736, -0.04895818746015907, 0.061980603740383416, 0.04062953664180942, -0.3224213812261438, 0.1028074859880293, 0.055413540807934716, 0.01948061900643202, -0.1543003638060047, -0.0993086769639586, 0.003922094131270662, 0.01679010435532874, 0.10153699905659334, 0.060662516112176657, 0.05080982790782283, -0.10484933719421044, -0.041906755399675324, 0.3393812188639855, -0.08926933630256173, -0.28578665795290503, 0.11342326897041251, -0.18170375120229063, -0.1329862848461534, 0.10203495569145069, 0.1587765470194893, 0.152136543729844, -0.07979766425724404, 0.15768675808048543, -0.030943938435461275, 0.19500417920808572, 0.06873548870237592, 0.02578897895410848, 0.03561555949123337, 0.14004417816893414, 0.13628502320856428, 0.13392822648613498, 0.008112643851349369, -0.09847679255434717, -0.3581502015153185, -0.13621539108825323, -0.1888547721453226, 0.08680195513014229, -0.13252988107202468, -0.1863375214071801, 0.4109130466822535, 0.13411276914083806, 0.21185721502376673, 0.10621106012079579, 0.2589044283884458, 0.18584269532659212, 0.00975694402288168, 0.08245335064995556, 0.20500313975394535, 0.13038108370099694, 0.15263724325501618, -0.19686981769374165, 0.03362941436875516, 0.15622019827461395] |
708.2155 | Strongly pseudoconvex domains as subvarieties of complex manifolds | In this paper (a sequel to B. Drinovec Drnovsek and F. Forstneric,
Holomorphic curves in complex spaces, Duke Math. J. 139 (2007), 203-253) we
obtain existence and approximation results for closed complex subvarieties that
are normalized by strongly pseudoconvex Stein domains. Our sufficient condition
for the existence of such subvarieties in a complex manifold is expressed in
terms of the Morse indices and the number of positive Levi eigenvalues of an
exhaustion function on the manifold. Examples show that our condition cannot be
weakened in general. Optimal results are obtained for subvarieties of this type
in complements of compact complex submanifolds with Griffiths positive normal
bundle; in the projective case these results generalize classical theorems of
Remmert, Bishop and Narasimhan concerning proper holomorphic maps and
embeddings to complex Euclidean spaces.
| math.CV math.AG | in this paper a sequel to b drinovec drnovsek and f forstneric holomorphic curves in complex spaces duke math j 139 2007 203253 we obtain existence and approximation results for closed complex subvarieties that are normalized by strongly pseudoconvex stein domains our sufficient condition for the existence of such subvarieties in a complex manifold is expressed in terms of the morse indices and the number of positive levi eigenvalues of an exhaustion function on the manifold examples show that our condition cannot be weakened in general optimal results are obtained for subvarieties of this type in complements of compact complex submanifolds with griffiths positive normal bundle in the projective case these results generalize classical theorems of remmert bishop and narasimhan concerning proper holomorphic maps and embeddings to complex euclidean spaces | [['in', 'this', 'paper', 'a', 'sequel', 'to', 'b', 'drinovec', 'drnovsek', 'and', 'f', 'forstneric', 'holomorphic', 'curves', 'in', 'complex', 'spaces', 'duke', 'math', 'j', '139', '2007', '203253', 'we', 'obtain', 'existence', 'and', 'approximation', 'results', 'for', 'closed', 'complex', 'subvarieties', 'that', 'are', 'normalized', 'by', 'strongly', 'pseudoconvex', 'stein', 'domains', 'our', 'sufficient', 'condition', 'for', 'the', 'existence', 'of', 'such', 'subvarieties', 'in', 'a', 'complex', 'manifold', 'is', 'expressed', 'in', 'terms', 'of', 'the', 'morse', 'indices', 'and', 'the', 'number', 'of', 'positive', 'levi', 'eigenvalues', 'of', 'an', 'exhaustion', 'function', 'on', 'the', 'manifold', 'examples', 'show', 'that', 'our', 'condition', 'can', 'not', 'be', 'weakened', 'in', 'general', 'optimal', 'results', 'are', 'obtained', 'for', 'subvarieties', 'of', 'this', 'type', 'in', 'complements', 'of', 'compact', 'complex', 'submanifolds', 'with', 'griffiths', 'positive', 'normal', 'bundle', 'in', 'the', 'projective', 'case', 'these', 'results', 'generalize', 'classical', 'theorems', 'of', 'remmert', 'bishop', 'and', 'narasimhan', 'concerning', 'proper', 'holomorphic', 'maps', 'and', 'embeddings', 'to', 'complex', 'euclidean', 'spaces']] | [-0.1626873572022305, 0.030477039706170217, -0.04638655681992532, 0.08812795250833005, -0.10985418006021064, -0.10387667431223235, 0.004869122950367455, 0.34053739032242447, -0.23416585265658796, -0.2054074648040114, 0.10276769832580612, -0.233874707169889, -0.19187806159243337, 0.23993948351517247, -0.20550535528673208, 0.007355807239946444, 0.0801484229068592, 0.00845650978590129, -0.1026587821324938, -0.3116505565612897, 0.44030721561284736, -0.08090388288837858, 0.20048599771439513, 0.117106830179182, 0.05296977288344351, 0.008492005264997715, -0.016049413543441915, -0.00479801253959522, -0.17589099872986935, 0.1516731423271267, 0.32620677464001346, 0.08929164853179827, 0.2116557096305769, -0.34423243626224576, -0.19159684193436988, 0.2228071064073447, 0.11030220803513657, -0.04459653597587021, 0.03095422200840403, -0.3277929016821872, 0.09429064764890427, -0.059061390751594445, -0.21333711170518654, -0.15193818048282992, 0.05698548061627662, 0.0584868076548446, -0.2622699020066648, 0.04743815765323234, 0.16996798223408405, 0.12893331023224164, -0.11016614054824458, -0.10910675799004821, -0.05945815075392602, 0.04410614048174466, -0.01992708425859746, 0.10979839544052084, 0.07235185954846202, -0.044703248520818306, -0.10579834977033897, 0.31342891055101063, -0.0843636248173425, -0.2989744965798309, 0.17440150317997904, -0.17244716073901145, -0.18242554104654118, 0.13321469349853032, 0.13558992519392632, 0.17141621880000457, -0.04430038700957084, 0.16538206991708648, -0.11888409706079983, 0.014759433332073968, 0.13681013799941866, -0.0422307072744843, 0.08201147318868607, 0.05007603238118463, 0.09675078296277206, 0.10522186997513927, 0.04558276733041566, -0.06991422436385619, -0.3511186295945663, -0.2213772523100488, -0.1517971784560359, 0.15903794253620163, -0.11475866300258986, -0.16970714498893358, 0.37873422871052753, -0.011116009142369876, 0.21619568250025623, 0.11351222800658434, 0.1849575627657032, 0.038577919881845446, -0.02708025522360913, 0.09582528097234899, 0.16836489479464944, 0.2245138689977466, 0.04844894627967733, -0.08757196375518106, -0.031868196554569295, 0.16868837353467825] |
708.2156 | Ordering from frustration in a strongly correlated one-dimensional
system | We study a one-dimensional extended Hubbard model with longer-range Coulomb
interactions at quarter-filling in the strong coupling limit. We find two
different charge-ordered (CO) ground states as the strength of the longer range
interactions is varied. At lower energies, these CO states drive two different
spin-ordered ground states. A variety of response functions computed here bear
a remarkable resemblance to recent experimental observations for organic TMTSF
systems, and so we propose that these systems are proximate to a QCP associated
with T=0 charge order. For a ladder system relevant to $Sr_{14}Cu_{24}O_{41}$,
we find in-chain CO, rung-dimer, and orbital antiferromagnetic ordered phases
with varying interchain couplings and superconductivity with hole-doping. RPA
studies of many chains (ladders) coupled reveal a phase diagram with the
ordered phase extended to finite temperatures and a phase boundary ending at a
quantum critical point (QCP). Critical quantum fluctuations at the QCP are
found to enhance the transverse dispersion, leading to a dimensional crossover
and a T=0 decofinement transition.
| cond-mat.str-el | we study a onedimensional extended hubbard model with longerrange coulomb interactions at quarterfilling in the strong coupling limit we find two different chargeordered co ground states as the strength of the longer range interactions is varied at lower energies these co states drive two different spinordered ground states a variety of response functions computed here bear a remarkable resemblance to recent experimental observations for organic tmtsf systems and so we propose that these systems are proximate to a qcp associated with t0 charge order for a ladder system relevant to sr_14cu_24o_41 we find inchain co rungdimer and orbital antiferromagnetic ordered phases with varying interchain couplings and superconductivity with holedoping rpa studies of many chains ladders coupled reveal a phase diagram with the ordered phase extended to finite temperatures and a phase boundary ending at a quantum critical point qcp critical quantum fluctuations at the qcp are found to enhance the transverse dispersion leading to a dimensional crossover and a t0 decofinement transition | [['we', 'study', 'a', 'onedimensional', 'extended', 'hubbard', 'model', 'with', 'longerrange', 'coulomb', 'interactions', 'at', 'quarterfilling', 'in', 'the', 'strong', 'coupling', 'limit', 'we', 'find', 'two', 'different', 'chargeordered', 'co', 'ground', 'states', 'as', 'the', 'strength', 'of', 'the', 'longer', 'range', 'interactions', 'is', 'varied', 'at', 'lower', 'energies', 'these', 'co', 'states', 'drive', 'two', 'different', 'spinordered', 'ground', 'states', 'a', 'variety', 'of', 'response', 'functions', 'computed', 'here', 'bear', 'a', 'remarkable', 'resemblance', 'to', 'recent', 'experimental', 'observations', 'for', 'organic', 'tmtsf', 'systems', 'and', 'so', 'we', 'propose', 'that', 'these', 'systems', 'are', 'proximate', 'to', 'a', 'qcp', 'associated', 'with', 't0', 'charge', 'order', 'for', 'a', 'ladder', 'system', 'relevant', 'to', 'sr_14cu_24o_41', 'we', 'find', 'inchain', 'co', 'rungdimer', 'and', 'orbital', 'antiferromagnetic', 'ordered', 'phases', 'with', 'varying', 'interchain', 'couplings', 'and', 'superconductivity', 'with', 'holedoping', 'rpa', 'studies', 'of', 'many', 'chains', 'ladders', 'coupled', 'reveal', 'a', 'phase', 'diagram', 'with', 'the', 'ordered', 'phase', 'extended', 'to', 'finite', 'temperatures', 'and', 'a', 'phase', 'boundary', 'ending', 'at', 'a', 'quantum', 'critical', 'point', 'qcp', 'critical', 'quantum', 'fluctuations', 'at', 'the', 'qcp', 'are', 'found', 'to', 'enhance', 'the', 'transverse', 'dispersion', 'leading', 'to', 'a', 'dimensional', 'crossover', 'and', 'a', 't0', 'decofinement', 'transition']] | [-0.2156755878328113, 0.2586856398556847, -0.026456933338340604, 0.0704367025035026, 0.005727631994523108, -0.20217126098577864, 0.1026566385582555, 0.3926085295039229, -0.2355471449525794, -0.23736961547110697, 0.01934349989387556, -0.3655614965187851, -0.10897288965061307, 0.10332227531907848, 0.1325262801896315, 0.008521232157363556, -0.012124709191266448, -0.023351709750204463, -0.161149805488094, -0.18878493539755253, 0.30468370362359565, -0.03136675568093779, 0.2727900192927336, 0.09776631948770956, 0.036900505123776385, -0.03473579425335629, 0.1642089673463488, 0.03590007500024513, -0.1746005515235538, 0.01669874637191242, 0.2992290583439171, -0.12353818382252939, 0.18125513113627675, -0.3947703277983237, -0.21922348470543512, 0.05746989841427421, 0.14735152040884714, 0.16319083727430553, -0.031149423874740022, -0.32440069783478975, -0.0001096379419323057, -0.17838663341244682, -0.1462402844659664, -0.10761397154128645, -0.00498593307856936, 0.018591751695203128, -0.26994273041200356, 0.0939461770321941, 0.02930421406344976, 0.1156324436495197, -0.07013993129075971, -0.1328533809624787, -0.07439223505352857, 0.08945386320119723, 0.01376955899540917, 0.10315486410836457, 0.1150700503581902, -0.10691704471742014, -0.11154703867214266, 0.3342376958578825, -0.05449342824795167, -0.06868380107334815, 0.2709911575526348, -0.18941508983707536, -0.1308159878019069, 0.18447658520308324, 0.1009821181622101, 0.04688040114961041, -0.11204035779574043, 0.058298338485110436, 0.043549582098057725, 0.18956752102894825, -0.023696804110659286, 0.09146949571731966, 0.2841198364971206, 0.16488726418465377, 0.05543154835722817, 0.16449088180961552, -0.10590329076985654, -0.16483382332953625, -0.22533638452150626, -0.12277560942893614, -0.18439809579285793, 0.039653346213162875, -0.0818660890387946, -0.18030798895342742, 0.35392392110607035, 0.18950137214887947, 0.21798572857078397, -0.03233545212715398, 0.19101716920558828, 0.11931516263502999, 0.03465754064382054, 0.023740564567560796, 0.22705907481577015, 0.15825493816810193, 0.11116910566779552, -0.27332044873328415, 0.02128469246745226, 0.05923832613771083] |
708.2157 | Dynamics of \bar{K} and multi-\bar{K} nuclei | We report on self-consistent calculations of single-K^- nuclear states and
multi-Kbar nuclear states in 12C, 16O, 40Ca and 208Pb within the relativistic
mean-field (RMF) approach. Gradient terms motivated by the p-wave resonance
Sigma(1385) are found to play a secondary role for single-K^- nuclear systems
where the mean-field concept is acceptable. Significant contributions from the
Kbar N -> pi Lambda conversion mode, and from the nonmesonic Kbar NN -> YN
conversion modes which are assumed to follow a rho^2 density dependence, are
evaluated for the deep binding-energy range of over 100 MeV where the decay
channel Kbar N -> pi Sigma is closed. Altogether we obtain K^- total decay
widths of 50-100 MeV for binding energies exceeding 100 MeV in single-K^-
nuclei. Multi-Kbar nuclear calculations indicate that the binding energy per
Kbar meson saturates upon increasing the number of Kbar mesons embedded in the
nuclear medium. The nuclear and Kbar densities increase only moderately and are
close to saturation, with no indication of any kaon-condensation precursor.
| nucl-th | we report on selfconsistent calculations of singlek nuclear states and multikbar nuclear states in 12c 16o 40ca and 208pb within the relativistic meanfield rmf approach gradient terms motivated by the pwave resonance sigma1385 are found to play a secondary role for singlek nuclear systems where the meanfield concept is acceptable significant contributions from the kbar n pi lambda conversion mode and from the nonmesonic kbar nn yn conversion modes which are assumed to follow a rho2 density dependence are evaluated for the deep bindingenergy range of over 100 mev where the decay channel kbar n pi sigma is closed altogether we obtain k total decay widths of 50100 mev for binding energies exceeding 100 mev in singlek nuclei multikbar nuclear calculations indicate that the binding energy per kbar meson saturates upon increasing the number of kbar mesons embedded in the nuclear medium the nuclear and kbar densities increase only moderately and are close to saturation with no indication of any kaoncondensation precursor | [['we', 'report', 'on', 'selfconsistent', 'calculations', 'of', 'singlek', 'nuclear', 'states', 'and', 'multikbar', 'nuclear', 'states', 'in', '12c', '16o', '40ca', 'and', '208pb', 'within', 'the', 'relativistic', 'meanfield', 'rmf', 'approach', 'gradient', 'terms', 'motivated', 'by', 'the', 'pwave', 'resonance', 'sigma1385', 'are', 'found', 'to', 'play', 'a', 'secondary', 'role', 'for', 'singlek', 'nuclear', 'systems', 'where', 'the', 'meanfield', 'concept', 'is', 'acceptable', 'significant', 'contributions', 'from', 'the', 'kbar', 'n', 'pi', 'lambda', 'conversion', 'mode', 'and', 'from', 'the', 'nonmesonic', 'kbar', 'nn', 'yn', 'conversion', 'modes', 'which', 'are', 'assumed', 'to', 'follow', 'a', 'rho2', 'density', 'dependence', 'are', 'evaluated', 'for', 'the', 'deep', 'bindingenergy', 'range', 'of', 'over', '100', 'mev', 'where', 'the', 'decay', 'channel', 'kbar', 'n', 'pi', 'sigma', 'is', 'closed', 'altogether', 'we', 'obtain', 'k', 'total', 'decay', 'widths', 'of', '50100', 'mev', 'for', 'binding', 'energies', 'exceeding', '100', 'mev', 'in', 'singlek', 'nuclei', 'multikbar', 'nuclear', 'calculations', 'indicate', 'that', 'the', 'binding', 'energy', 'per', 'kbar', 'meson', 'saturates', 'upon', 'increasing', 'the', 'number', 'of', 'kbar', 'mesons', 'embedded', 'in', 'the', 'nuclear', 'medium', 'the', 'nuclear', 'and', 'kbar', 'densities', 'increase', 'only', 'moderately', 'and', 'are', 'close', 'to', 'saturation', 'with', 'no', 'indication', 'of', 'any', 'kaoncondensation', 'precursor']] | [-0.07240151994867447, 0.274280962138726, -0.04982324545589848, 0.1029307959667806, 0.03500639116959155, -0.12392105372125133, 0.09935003351304472, 0.34316226519551707, -0.1710395435976177, -0.2933102791510532, -0.10858462553294897, -0.36672854972482655, 0.009434076863404665, 0.09710859171814801, 0.1500169092956323, 0.03135129798316506, 0.051539756056869994, 0.08018657112470973, -0.0646781396823617, -0.15120601100465342, 0.2832595463581846, 0.04860168793770161, 0.1944723198629962, 0.16800568649047834, -0.010092126055163627, 0.015386909541459928, 0.09528498723813743, -0.09552841329576899, -0.15826710124930507, 0.036001901639414295, 0.3019551466702142, 0.007864466651418009, 0.18858327332924565, -0.402553893510044, -0.17229554008530534, 0.08951975185979412, 0.18376145661108612, 0.12853287261853252, -0.02592373419529903, -0.2793546217256544, 0.1171711474159582, -0.20456862296932232, -0.12713966341559074, -0.1135232501167237, 0.05236407243849143, 0.02230273674514075, -0.28803089401982607, 0.12156538505639349, -0.020107611982001467, 0.0842547021358475, -0.13875384293970225, -0.3116795934002083, 0.011863703943603898, -0.0004989604078094412, 0.05431422547969435, 0.11784792316626318, 0.25472331551187066, -0.10028509818948805, -0.041510776926109695, 0.37356431107759847, -0.04107888632957239, -0.0652358711969038, 0.08706469762447053, -0.14519672024624874, -0.10222387614642611, 0.25380500115639304, 0.17347965981834423, 0.058755898645895345, -0.11853859401799692, 0.09826035296178556, -0.004139755691997475, 0.2631675070296302, 0.0905399535166574, 0.05846940634138766, 0.1146191679699034, 0.1859294789313969, -0.0230453107621729, 0.03542265777262101, -0.12436017332459737, -0.11124214247991301, -0.33115582371720614, -0.048732000194860174, -0.09024718580011898, 0.09574812371301847, -0.05303082114722947, -0.037582185378251885, 0.2941585634632603, -0.015507422737568987, 0.2236197078658372, -0.021446667725121986, 0.23655392200633976, 0.10280337483442811, 0.07159216625338292, 0.13145345292106178, 0.3022752602451614, 0.2873952054094685, 0.05735833966245539, -0.32587451458856553, 0.015184352437601141, -0.04558513013455114] |
708.2158 | Clathrate hydrates as a sink of noble gases in Titan's atmosphere | We use a statistical thermodynamic approach to determine the composition of
clathrate hydrates which may form from a multiple compound gas whose
composition is similar to that of Titan's atmosphere. Assuming that noble gases
are initially present in this gas phase, we calculate the ratios of xenon,
krypton and argon to species trapped in clathrate hydrates. We find that these
ratios calculated for xenon and krypton are several orders of magnitude higher
than in the coexisting gas at temperature and pressure conditions close to
those of Titan's present atmosphere at ground level. Furthermore we show that,
by contrast, argon is poorly trapped in these ices. This trapping mechanism
implies that the gas-phase is progressively depleted in xenon and krypton when
the coexisting clathrate hydrates form whereas the initial abundance of argon
remains almost constant. Our results are thus compatible with the deficiency of
Titan's atmosphere in xenon and krypton measured by the {\it Huygens} probe
during its descent on January 14, 2005. However, in order to interpret the
subsolar abundance of primordial Ar also revealed by {\it Huygens}, other
processes that occurred either during the formation of Titan or during its
evolution must be also invoked.
| astro-ph | we use a statistical thermodynamic approach to determine the composition of clathrate hydrates which may form from a multiple compound gas whose composition is similar to that of titans atmosphere assuming that noble gases are initially present in this gas phase we calculate the ratios of xenon krypton and argon to species trapped in clathrate hydrates we find that these ratios calculated for xenon and krypton are several orders of magnitude higher than in the coexisting gas at temperature and pressure conditions close to those of titans present atmosphere at ground level furthermore we show that by contrast argon is poorly trapped in these ices this trapping mechanism implies that the gasphase is progressively depleted in xenon and krypton when the coexisting clathrate hydrates form whereas the initial abundance of argon remains almost constant our results are thus compatible with the deficiency of titans atmosphere in xenon and krypton measured by the it huygens probe during its descent on january 14 2005 however in order to interpret the subsolar abundance of primordial ar also revealed by it huygens other processes that occurred either during the formation of titan or during its evolution must be also invoked | [['we', 'use', 'a', 'statistical', 'thermodynamic', 'approach', 'to', 'determine', 'the', 'composition', 'of', 'clathrate', 'hydrates', 'which', 'may', 'form', 'from', 'a', 'multiple', 'compound', 'gas', 'whose', 'composition', 'is', 'similar', 'to', 'that', 'of', 'titans', 'atmosphere', 'assuming', 'that', 'noble', 'gases', 'are', 'initially', 'present', 'in', 'this', 'gas', 'phase', 'we', 'calculate', 'the', 'ratios', 'of', 'xenon', 'krypton', 'and', 'argon', 'to', 'species', 'trapped', 'in', 'clathrate', 'hydrates', 'we', 'find', 'that', 'these', 'ratios', 'calculated', 'for', 'xenon', 'and', 'krypton', 'are', 'several', 'orders', 'of', 'magnitude', 'higher', 'than', 'in', 'the', 'coexisting', 'gas', 'at', 'temperature', 'and', 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708.2159 | From frustrated insulators to correlated anisotropic metals: charge
ordering and quantum criticality in coupled chain systems | A recent study revealed the dynamics of the charge sector of a
one-dimensional quarter-filled electronic system with extended Hubbard
interactions to be that of an effective pseudospin transverse-field Ising model
(TFIM) in the strong coupling limit. With the twin motivations of studying the
co-existing charge and spin order found in strongly correlated chain systems
and the effects of inter-chain couplings, we investigate the phase diagram of
coupled effective (TFIM) systems. A bosonisation and RG analysis for a two-leg
TFIM ladder yields a rich phase diagram showing Wigner/Peierls charge order and
Neel/dimer spin order. In a broad parameter regime, the orbital
antiferromagnetic phase is found to be stable. An intermediate gapless phase of
finite width is found to lie in between two charge-ordered gapped phases.
Kosterlitz-Thouless transitions are found to lead from the gapless phase to
either of the charge-ordered phases. A detailed analysis is also carried out
for the dimensional crossover physics when many such pseudospin systems are
coupled to one another. Importantly, the analysis reveals the key role of
critical quantum fluctuations in driving the strong dispersion in the
transverse directions, as well as a T=0 deconfinement transition. Our work is
potentially relevant for a unified description of a class of strongly
correlated, quarter-filled chain and ladder systems.
| cond-mat.str-el | a recent study revealed the dynamics of the charge sector of a onedimensional quarterfilled electronic system with extended hubbard interactions to be that of an effective pseudospin transversefield ising model tfim in the strong coupling limit with the twin motivations of studying the coexisting charge and spin order found in strongly correlated chain systems and the effects of interchain couplings we investigate the phase diagram of coupled effective tfim systems a bosonisation and rg analysis for a twoleg tfim ladder yields a rich phase diagram showing wignerpeierls charge order and neeldimer spin order in a broad parameter regime the orbital antiferromagnetic phase is found to be stable an intermediate gapless phase of finite width is found to lie in between two chargeordered gapped phases kosterlitzthouless transitions are found to lead from the gapless phase to either of the chargeordered phases a detailed analysis is also carried out for the dimensional crossover physics when many such pseudospin systems are coupled to one another importantly the analysis reveals the key role of critical quantum fluctuations in driving the strong dispersion in the transverse directions as well as a t0 deconfinement transition our work is potentially relevant for a unified description of a class of strongly correlated quarterfilled chain and ladder systems | [['a', 'recent', 'study', 'revealed', 'the', 'dynamics', 'of', 'the', 'charge', 'sector', 'of', 'a', 'onedimensional', 'quarterfilled', 'electronic', 'system', 'with', 'extended', 'hubbard', 'interactions', 'to', 'be', 'that', 'of', 'an', 'effective', 'pseudospin', 'transversefield', 'ising', 'model', 'tfim', 'in', 'the', 'strong', 'coupling', 'limit', 'with', 'the', 'twin', 'motivations', 'of', 'studying', 'the', 'coexisting', 'charge', 'and', 'spin', 'order', 'found', 'in', 'strongly', 'correlated', 'chain', 'systems', 'and', 'the', 'effects', 'of', 'interchain', 'couplings', 'we', 'investigate', 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708.216 | Rational algebraic K-theory of topological K-theory | We show that after rationalization there is a homotopy fiber sequence BBU ->
K(ku) -> K(Z). We interpret this as a correspondence between the virtual
2-vector bundles over a space X and their associated anomaly bundles over the
free loop space LX. We also rationally compute K(KU) by using the localization
sequence, and K(MU) by a method that applies to all connective S-algebras.
| math.KT math.AT | we show that after rationalization there is a homotopy fiber sequence bbu kku kz we interpret this as a correspondence between the virtual 2vector bundles over a space x and their associated anomaly bundles over the free loop space lx we also rationally compute kku by using the localization sequence and kmu by a method that applies to all connective salgebras | [['we', 'show', 'that', 'after', 'rationalization', 'there', 'is', 'a', 'homotopy', 'fiber', 'sequence', 'bbu', 'kku', 'kz', 'we', 'interpret', 'this', 'as', 'a', 'correspondence', 'between', 'the', 'virtual', '2vector', 'bundles', 'over', 'a', 'space', 'x', 'and', 'their', 'associated', 'anomaly', 'bundles', 'over', 'the', 'free', 'loop', 'space', 'lx', 'we', 'also', 'rationally', 'compute', 'kku', 'by', 'using', 'the', 'localization', 'sequence', 'and', 'kmu', 'by', 'a', 'method', 'that', 'applies', 'to', 'all', 'connective', 'salgebras']] | [-0.1997377678110707, 0.098827927123343, -0.09019177213795941, 0.09670348909729329, -0.05420114032038655, -0.13377445298018026, 0.06641206414377714, 0.47652417500732375, -0.3548002399382044, -0.16523755140236165, 0.07969806261635462, -0.18740052949698244, -0.22278719163331828, 0.21544177393566388, -0.13506870798491796, -0.04778785237729488, 0.033410219269514575, 0.1002524585814261, -0.0749608038649818, -0.21873596170153775, 0.40174370139959403, -0.046862469631109814, 0.2174852746183966, 0.013519588063974849, 0.15460393014440282, 0.05040470134375281, -0.0011422653056559016, 0.0179481419160214, -0.130885256028049, 0.15887453892367479, 0.28945454545548094, 0.08638763049098312, 0.20393979741016127, -0.31068806072361155, -0.17622152433471114, 0.17972980180686554, 0.13540889392988603, -0.024926808181783704, 0.01610719157596592, -0.24337655183721763, 0.152394912663664, -0.21542023379951106, -0.06735115872360155, -0.09944506807894003, 0.04163116030395031, -0.000276739418995185, -0.17954198288021334, -0.06099125608986961, 0.036272435876556104, 0.05708432924307761, -0.09751780689923001, 0.009601160402974634, -0.07771327835126002, 0.12232644420086605, 0.007384249768754254, 0.10072494783728826, 0.09808050522763954, -0.07292813963073565, -0.13751713309406502, 0.34513378509732545, -0.10869954044350469, -0.17560965282323418, 0.130678662911943, -0.1275105318817936, -0.14068412493731156, 0.19098310213780306, 0.040233536379137, 0.14605454546323077, 0.004045126104696852, 0.16567961299662157, -0.09389367667561183, 0.14489225786728938, 0.07953805658874698, -0.03467140150577074, 0.165491885566687, 0.0953708762879346, 0.05278917650890644, 0.09762650232029255, -0.04184052821527403, -0.027805735120458194, -0.374714748727799, -0.2610142335265142, -0.10326472006654214, 0.14909517964287128, -0.06437002933063148, -0.1537867084252419, 0.3766102217229419, 0.0809853318009953, 0.28186383789603703, 0.16499567257820583, 0.26224958979081914, 0.05632616353381547, 0.07767090969718993, 0.025735677307715914, 0.12840561687824179, 0.19331390858001885, 0.046413076747605794, -0.15397416692624083, -0.05459268275098723, 0.21332034743467315] |
708.2161 | Dynamic elastic properties and magnetic susceptibility across the
austenite-martensite transformation in site-disordered ferromagnetic Ni-Fe-Al
alloy | Besides permitting an accurate determination of the
ferromagnetic-to-paramagnetic phase transition temperature and the
characteristic temperatures for the beginning and end of the growth of
martensite (austenite) phase at the expense of austenite (martensite) phase
while cooling (heating), the results of an extensive ac susceptibility, sound
velocity and internal friction investigation of the thermoelastic martensitic
transformation in melt-quenched (site-disordered) Ni55Fe20Al25 alloy provide a
clear experimental evidence for the following. Irreversible thermoelastic
changes (thermal hysteresis) occur in the austenite phase in the premartensitic
regime. In the heating cycle, the system retains the "memory" of the initiation
and subsequent growth of the martensitic phase (at the expense of the parent
austenite phase) that had taken place during the cooling cycle in the
austenite-martensite phase coexistence region. We report and discuss these
novel findings in this communication.
| cond-mat.mtrl-sci cond-mat.other | besides permitting an accurate determination of the ferromagnetictoparamagnetic phase transition temperature and the characteristic temperatures for the beginning and end of the growth of martensite austenite phase at the expense of austenite martensite phase while cooling heating the results of an extensive ac susceptibility sound velocity and internal friction investigation of the thermoelastic martensitic transformation in meltquenched sitedisordered ni55fe20al25 alloy provide a clear experimental evidence for the following irreversible thermoelastic changes thermal hysteresis occur in the austenite phase in the premartensitic regime in the heating cycle the system retains the memory of the initiation and subsequent growth of the martensitic phase at the expense of the parent austenite phase that had taken place during the cooling cycle in the austenitemartensite phase coexistence region we report and discuss these novel findings in this communication | [['besides', 'permitting', 'an', 'accurate', 'determination', 'of', 'the', 'ferromagnetictoparamagnetic', 'phase', 'transition', 'temperature', 'and', 'the', 'characteristic', 'temperatures', 'for', 'the', 'beginning', 'and', 'end', 'of', 'the', 'growth', 'of', 'martensite', 'austenite', 'phase', 'at', 'the', 'expense', 'of', 'austenite', 'martensite', 'phase', 'while', 'cooling', 'heating', 'the', 'results', 'of', 'an', 'extensive', 'ac', 'susceptibility', 'sound', 'velocity', 'and', 'internal', 'friction', 'investigation', 'of', 'the', 'thermoelastic', 'martensitic', 'transformation', 'in', 'meltquenched', 'sitedisordered', 'ni55fe20al25', 'alloy', 'provide', 'a', 'clear', 'experimental', 'evidence', 'for', 'the', 'following', 'irreversible', 'thermoelastic', 'changes', 'thermal', 'hysteresis', 'occur', 'in', 'the', 'austenite', 'phase', 'in', 'the', 'premartensitic', 'regime', 'in', 'the', 'heating', 'cycle', 'the', 'system', 'retains', 'the', 'memory', 'of', 'the', 'initiation', 'and', 'subsequent', 'growth', 'of', 'the', 'martensitic', 'phase', 'at', 'the', 'expense', 'of', 'the', 'parent', 'austenite', 'phase', 'that', 'had', 'taken', 'place', 'during', 'the', 'cooling', 'cycle', 'in', 'the', 'austenitemartensite', 'phase', 'coexistence', 'region', 'we', 'report', 'and', 'discuss', 'these', 'novel', 'findings', 'in', 'this', 'communication']] | [-0.15876265242695808, 0.2591012769557788, -0.06944159403770366, -0.054151895421358065, -0.03326481341682943, -0.061543841352188634, 0.14233684519311157, 0.37344959798404054, -0.2635794142418886, -0.25683831899846327, 0.10962035395880408, -0.2443753307941192, -0.12916241187019317, 0.14084814060905962, 0.014040377529343335, 0.005250386922186568, -0.002481839305877629, -0.0026709712619221422, -0.1208756566669735, -0.19467358423382727, 0.21825338424297178, 0.07359941583837716, 0.31401127797217315, 0.047759341858043015, 0.07644676739876052, -0.04929004472996755, 0.06197339633501042, -0.02445819471360234, -0.19174200385829607, -0.06348688536600648, 0.2162942752128339, -0.0029941315919103967, 0.2105478756095306, -0.48570934209602934, -0.23574950759661675, 0.05264450927648892, 0.07133073443617985, 0.12950161235755353, -0.09438390846058499, -0.2184559864752734, -0.0156185892392803, -0.09533363038261655, -0.10412900435972873, -0.061584625775334405, -0.018477863902297182, -0.04338182984115485, -0.22066684208014084, 0.15353165333565721, 0.13654972311422114, 0.13010586056687679, -0.1532887383844021, -0.09321606764303278, -0.07804000204187313, 0.09360282344544549, 0.03950719712373182, 0.03119669886455224, 0.16807364770175734, -0.1029067434750867, -0.02844932958490805, 0.39723668259547185, 0.009451173354324152, 0.04913213647162641, 0.16039559815278034, -0.2145360292376282, -0.12440663288198127, 0.2571679866083592, 0.13682366315211447, 0.024174595880855358, -0.11983042710837517, 0.009483459076350058, 0.1425829876413327, 0.1749938371793886, 0.07427999677264509, 0.004433905894206908, 0.22693196348917052, 0.24441866906544635, -0.020278112765558007, 0.23186076559901295, -0.09688545779844049, -0.11628933955438947, -0.29594485340853227, -0.20710569232040643, -0.12967970387171243, -0.042304064332017007, -0.1718949148397429, -0.1927116960500374, 0.3872223527078296, 0.14487889290694858, 0.1554454560498245, 0.013714452544298336, 0.2677196294090618, 0.08866736758855805, 0.027522471194859337, 0.021710073824204108, 0.2911447448058779, 0.14703725113441016, 0.22803355071814518, -0.36860649493160363, 0.1651044995950549, 0.04131146567208934] |
708.2162 | Normal Surface Theory in Link Diagrams | This paper has been withdrawn by the author, due to a significant error in
section 4.3.1.
| math.GT | this paper has been withdrawn by the author due to a significant error in section 431 | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'a', 'significant', 'error', 'in', 'section', '431']] | [-0.11877008283045143, -0.06373786000767723, -0.09729297753074206, -0.03778180309018353, -0.06622681498993188, -0.047266099572880194, 0.03117303836188512, 0.31308686500415206, -0.20150024467147887, -0.40554738068021834, 0.09446261732227867, -0.3175840985495597, -0.1300886581884697, 0.10289573948830366, -0.3258071706513874, 0.14301011990755796, 0.05141868907958269, -0.027029754826799035, -0.010409918817458674, -0.35130286353523843, 0.27694615814834833, 0.17176532768644392, 0.25107337767258286, 0.25713914644438773, 0.05796230444684625, -0.06974143176921643, -0.12212529580574483, -0.012987415306270123, -0.13056326721562073, 0.14423718384932727, 0.25986938178539276, -0.03725979472801555, 0.4021449733991176, -0.3205255302018486, -0.19255033624358475, 0.155498088512104, 0.18636991747189313, 0.1820246771676466, -0.11728356464300305, -0.3803727403283119, 0.22195759488386102, -0.367311880690977, -0.07002616455429234, 0.056303012650460005, 0.19689012330491096, -0.1393825149280019, -0.09395715058781207, 0.10848929564235732, 0.16376572626177222, 0.1528717428445816, 0.04960280691739172, -0.16412896756082773, 0.07486149133183062, 0.09029751978232525, 0.19520755228586495, 0.19145418508560397, -0.038817737135104835, -0.042576657826430164, -0.10633426706772298, 0.34541740210261196, -0.008720213430933654, -0.20717644377145916, 0.056636917404830456, -0.09934208475169726, -0.13918433256912977, 0.23541227425448596, 0.24506407481385395, 0.012262628253665753, -0.2602890618145466, 0.20472422236343846, -0.018336108943913132, 0.20978917367756367, 0.19827971735503525, -0.06179999955929816, 0.08684468385763466, 0.13937056867871433, -0.005307479354087263, 0.13495206437073648, -0.08185865584528074, -0.010494835558347404, -0.22792450059205294, -0.23240112513303757, -0.17653385316953063, 0.07705030037323013, 0.17981054354459047, -0.07320474029984325, 0.3999964949907735, 0.1586458285455592, 0.21408246201463044, -0.06871755328029394, 0.3150282301940024, 0.15374910952959908, 0.09434089830028825, 0.018660734174773097, 0.3953627528680954, 0.17518592487613205, 0.1837105908198282, -0.06092996918596327, 0.19544902589404956, 0.10405360272852704] |
708.2163 | R-separation of variables for the conformally invariant Laplace equation | The conditions for R-separation of variables for the conformally invariant
Laplace equation on an n-dimensional Riemannian manifold are determined and
compared with the conditions for the additive separation of the null geodesic
Hamilton-Jacobi equation. The case of 3-dimensions is examined in detail and it
is proven that on any conformally flat manifold the two equations separate in
the same coordinates.
| math-ph math.MP | the conditions for rseparation of variables for the conformally invariant laplace equation on an ndimensional riemannian manifold are determined and compared with the conditions for the additive separation of the null geodesic hamiltonjacobi equation the case of 3dimensions is examined in detail and it is proven that on any conformally flat manifold the two equations separate in the same coordinates | [['the', 'conditions', 'for', 'rseparation', 'of', 'variables', 'for', 'the', 'conformally', 'invariant', 'laplace', 'equation', 'on', 'an', 'ndimensional', 'riemannian', 'manifold', 'are', 'determined', 'and', 'compared', 'with', 'the', 'conditions', 'for', 'the', 'additive', 'separation', 'of', 'the', 'null', 'geodesic', 'hamiltonjacobi', 'equation', 'the', 'case', 'of', '3dimensions', 'is', 'examined', 'in', 'detail', 'and', 'it', 'is', 'proven', 'that', 'on', 'any', 'conformally', 'flat', 'manifold', 'the', 'two', 'equations', 'separate', 'in', 'the', 'same', 'coordinates']] | [-0.16363923804213604, 0.06465901944793587, -0.08703344835278888, 0.10231809998319173, -0.06714436252756666, -0.14694439340382814, -0.10869044357289871, 0.3346484608948231, -0.2307172306192418, -0.21616481704598603, 0.12261616542236879, -0.284983362754186, -0.113525421731174, 0.18108657357127717, -0.07798811246951422, 0.08487573680467904, 0.06328924876482536, 0.10560437520810713, -0.1268385349190794, -0.26230814928809804, 0.4417525576427579, -0.021288319847856958, 0.26746094271851084, -0.009001845750996532, 0.19659351545075576, -0.021896045569640896, -0.010173042638537784, 0.039438311584914724, -0.15636199859109184, 0.03905299209679167, 0.1880500794854015, 0.04492965727113187, 0.15670607949917514, -0.3946152556687593, -0.21721994476392864, 0.1007011854245017, 0.12066500049550086, 0.025461898061136405, 0.0033474195244101185, -0.34285371992349006, 0.0789018749705671, -0.0034324348128090304, -0.19823210020549595, -0.0566834333507965, 0.03990905952329437, -0.022501062725981076, -0.24059269974629086, 0.06367631937998036, 0.10351623586223771, 0.014719401905313133, -0.166540016940174, -0.0962745418616881, -0.0601569429350396, 0.05966492231624822, 0.04709668483507509, 0.04620844364205065, 0.06951962371822447, -0.052923988496574266, -0.05925748800315584, 0.3822510972308616, -0.07914552106522024, -0.41143992573634025, 0.12838970475519698, -0.12431092305729786, -0.13831471708447982, 0.09461914014924938, 0.1193608038748304, 0.19677674216994395, -0.207455541100353, 0.19027142932754942, -0.012022869971891245, 0.08887416189536453, 0.10651196186275531, -0.04859073923435062, 0.10866948294763763, 0.08885055106754104, 0.11807471527718008, 0.12160388290261229, -0.02880923238117248, -0.15821735660235087, -0.3608556818837921, -0.21352416472509503, -0.19272142120171337, 0.10960003798827529, -0.167845417985518, -0.1959254670267304, 0.3500391919010629, 0.02278935355231321, 0.15213156804287184, 0.0752311920747161, 0.24274249554922184, 0.15203989457416658, -0.020656087067133438, 0.11461368550856908, 0.23255812156324585, 0.19830052605830134, 0.060647712896267574, -0.2020739751091848, -0.02762937555865695, 0.10311374880063037] |
708.2164 | Constraining Dark Energy From Splitting Angle Statistic of Strong
Gravitational Lenses | Utilizing the CLASS statistical sample, we investigate the constraint of the
splitting angle statistic of strong gravitational lenses(SGL) on the
equation-of-state parameter $w=p/\rho$ of the dark energy in the flat cold dark
matter cosmology. Through the comoving number density of dark halos described
by Press-Schechter theory, dark energy affects the efficiency with which
dark-matter concentrations produce strong lensing signals. The constraints on
both constant $w$ and time-varying $w(z)=w_0+w_az/(1+z)$ from the SGL splitting
angle statistic are consistently obtained by adopting a two model combined
mechanism of dark halo density profile matched at the mass scale $M_c$. Our
main observations are: (a) the resulting model parameter $M_c$ is found to be
$M_c \sim 1.4$ for both constant $w$ and time-varying $w(z)$, which is larger
than $M_c \sim 1$ obtained in literatures; (b) the fitting results for the
constant $w$ are found to be $w =-0.89^{+0.49}_{-0.26}$ and $w
=-0.94^{+0.57}_{-0.16}$ for the source redshift distributions of the Gaussian
models $g(z_s)$ and $g^c(z_s)$ respectively, which are consistent with the
$\Lambda \rm CDM$ at 95% C.L; (c) the time-varying $w(z)$ is found to be for
$\sigma_8 = 0.74$: $(M_c; w_0, w_a)=(1.36; -0.92, -1.31)$ and $(M_c; w_0,
w_a)=(1.38; -0.89, -1.21)$ for $g(z_s)$ and $g^c(z_s)$ respectively.
| astro-ph | utilizing the class statistical sample we investigate the constraint of the splitting angle statistic of strong gravitational lensessgl on the equationofstate parameter wprho of the dark energy in the flat cold dark matter cosmology through the comoving number density of dark halos described by pressschechter theory dark energy affects the efficiency with which darkmatter concentrations produce strong lensing signals the constraints on both constant w and timevarying wzw_0w_az1z from the sgl splitting angle statistic are consistently obtained by adopting a two model combined mechanism of dark halo density profile matched at the mass scale m_c our main observations are a the resulting model parameter m_c is found to be m_c sim 14 for both constant w and timevarying wz which is larger than m_c sim 1 obtained in literatures b the fitting results for the constant w are found to be w 089049_026 and w 094057_016 for the source redshift distributions of the gaussian models gz_s and gcz_s respectively which are consistent with the lambda rm cdm at 95 cl c the timevarying wz is found to be for sigma_8 074 m_c w_0 w_a136 092 131 and m_c w_0 w_a138 089 121 for gz_s and gcz_s respectively | [['utilizing', 'the', 'class', 'statistical', 'sample', 'we', 'investigate', 'the', 'constraint', 'of', 'the', 'splitting', 'angle', 'statistic', 'of', 'strong', 'gravitational', 'lensessgl', 'on', 'the', 'equationofstate', 'parameter', 'wprho', 'of', 'the', 'dark', 'energy', 'in', 'the', 'flat', 'cold', 'dark', 'matter', 'cosmology', 'through', 'the', 'comoving', 'number', 'density', 'of', 'dark', 'halos', 'described', 'by', 'pressschechter', 'theory', 'dark', 'energy', 'affects', 'the', 'efficiency', 'with', 'which', 'darkmatter', 'concentrations', 'produce', 'strong', 'lensing', 'signals', 'the', 'constraints', 'on', 'both', 'constant', 'w', 'and', 'timevarying', 'wzw_0w_az1z', 'from', 'the', 'sgl', 'splitting', 'angle', 'statistic', 'are', 'consistently', 'obtained', 'by', 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'respectively']] | [-0.11765751681486243, 0.15395378677095187, -0.07351953227895293, 0.10676132683936962, -0.0689104225169471, -0.14680323227862282, 0.019216001268471294, 0.34319835052171604, -0.21028059452494724, -0.395426131965112, 0.03198881215970725, -0.2666393309395681, 0.04092207529205591, 0.19192023648870515, 0.06390743658189325, 0.031068743604106552, 0.014212311443654781, -0.0033013224304514997, -0.07925149873993545, -0.2342448676279944, 0.29405524925219806, 0.0731388164381992, 0.21697506083155724, -0.00032864285613152573, 0.05889693588672325, -0.054746683369925685, -0.07150753859450366, -0.020107722217018936, -0.22148518943589457, 0.02045929527803116, 0.15968910762706187, 0.07758134326085131, 0.20466346113244072, -0.25662524790107244, -0.2052139728924537, 0.12505935777989316, 0.12092319098945231, 0.028184092154062573, -0.031111551397925916, -0.3041690268598378, 0.12681121553016944, -0.19512513093898035, -0.09440171818974666, 0.024524419345556103, 0.015433581967025678, 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708.2165 | Matching with shift for one-dimensional Gibbs measures | We consider matching with shifts for Gibbsian sequences. We prove that the
maximal overlap behaves as $c\log n$, where $c$ is explicitly identified in
terms of the thermodynamic quantities (pressure) of the underlying potential.
Our approach is based on the analysis of the first and second moment of the
number of overlaps of a given size. We treat both the case of equal sequences
(and nonzero shifts) and independent sequences.
| math.PR math-ph math.MP | we consider matching with shifts for gibbsian sequences we prove that the maximal overlap behaves as clog n where c is explicitly identified in terms of the thermodynamic quantities pressure of the underlying potential our approach is based on the analysis of the first and second moment of the number of overlaps of a given size we treat both the case of equal sequences and nonzero shifts and independent sequences | [['we', 'consider', 'matching', 'with', 'shifts', 'for', 'gibbsian', 'sequences', 'we', 'prove', 'that', 'the', 'maximal', 'overlap', 'behaves', 'as', 'clog', 'n', 'where', 'c', 'is', 'explicitly', 'identified', 'in', 'terms', 'of', 'the', 'thermodynamic', 'quantities', 'pressure', 'of', 'the', 'underlying', 'potential', 'our', 'approach', 'is', 'based', 'on', 'the', 'analysis', 'of', 'the', 'first', 'and', 'second', 'moment', 'of', 'the', 'number', 'of', 'overlaps', 'of', 'a', 'given', 'size', 'we', 'treat', 'both', 'the', 'case', 'of', 'equal', 'sequences', 'and', 'nonzero', 'shifts', 'and', 'independent', 'sequences']] | [-0.15595686886725682, 0.14978519147261976, -0.040848004884485686, 0.046055136360311215, 0.015508769499137997, -0.06684746264280485, 0.057752235517338185, 0.32453778368820035, -0.25703235317819884, -0.26260263275887286, 0.07931301855714992, -0.2939096812691007, -0.13331634487091962, 0.14752987225406936, -0.03509995401171701, 0.025410774676129223, 0.01729914696022336, 0.1304360657930374, -0.07645481566432863, -0.22794181366916746, 0.3536062557350046, -0.022094913332590036, 0.2445639295237405, 0.04295532216450998, 0.10333285504685981, 0.029653825639148375, -0.02709813889648233, 0.046738152279119406, -0.1486722524981555, 0.11471070333084624, 0.17109730268961618, 0.12414028987893419, 0.23630643508263996, -0.34790734776428767, -0.16849507416731546, 0.1411800035674657, 0.1278124375002725, 0.10475365677848458, -0.002759945417554783, -0.2132415543044252, 0.09735589378979057, -0.11955241900536098, -0.13964291869529655, -0.06717780156593238, 0.05780973027327231, 0.09043202924409083, -0.30721442519820163, 0.0810063426781978, 0.08384287348017097, 0.05100555336102843, -0.07184394036220121, -0.15973686084284314, -0.01929687651073826, 0.19103101436713976, 0.04543131504573726, 0.0033809504538242306, 0.07641207738779485, -0.09005454769358039, -0.08802507184529011, 0.3990704357624054, -0.09565203969499894, -0.20948991422940577, 0.141671395458148, -0.16570183435854102, -0.14177941561543517, 0.08436243944535297, 0.13436599843470112, 0.16561353503327284, -0.06726294726665531, 0.10212521061184816, -0.04478064897869315, 0.1815446733230991, 0.10328103532748563, 0.03795125273588513, 0.14921445307720985, 0.12420954714928355, 0.08044726309100432, 0.19164060593715737, -0.08199547710495868, -0.09083810222468205, -0.3564084519233022, -0.1594747580022418, -0.24112837282674654, 0.022234710334201477, -0.10818318285517826, -0.21543111189135483, 0.37108698867793594, 0.14423411512481316, 0.24313367183453272, 0.09594507926875459, 0.26356887754851155, 0.14381319632354592, 0.0254649420867541, 0.05327968398508217, 0.14706573077876653, 0.13066880567265407, 0.030772733322477767, -0.24105884540268951, 0.06634250365064613, 0.07651236636697181] |
708.2166 | An approximate theory for substructure propagation in clusters | The existence of dark matter can be proved in an astrophysical context by the
discovery of a system in which the observed baryons and the inferred dark
matter are spatially segregated, such as the bullet cluster (1E0657-558). The
full descriptions of the dark matter halo and X-ray gas substructure motions
are necessary to forecast the location of the dark halo from X-ray maps, which
can be confirmed by the detection of a galaxy concentration or by gravitational
lensing. We present an analytical hydrodynamic model to determine the distance
between the X-ray and dark-matter components and the Mach number of the merger
shock. An approximate solution is given for the problem of the substructure
propagation in merging clusters. A new method to predict the position of a dark
matter halo in clusters, where there is a separation between the X-ray gas and
the dark halo, is proposed and applied to the clusters 1E0657-558 and Abell
1763.
| astro-ph | the existence of dark matter can be proved in an astrophysical context by the discovery of a system in which the observed baryons and the inferred dark matter are spatially segregated such as the bullet cluster 1e0657558 the full descriptions of the dark matter halo and xray gas substructure motions are necessary to forecast the location of the dark halo from xray maps which can be confirmed by the detection of a galaxy concentration or by gravitational lensing we present an analytical hydrodynamic model to determine the distance between the xray and darkmatter components and the mach number of the merger shock an approximate solution is given for the problem of the substructure propagation in merging clusters a new method to predict the position of a dark matter halo in clusters where there is a separation between the xray gas and the dark halo is proposed and applied to the clusters 1e0657558 and abell 1763 | [['the', 'existence', 'of', 'dark', 'matter', 'can', 'be', 'proved', 'in', 'an', 'astrophysical', 'context', 'by', 'the', 'discovery', 'of', 'a', 'system', 'in', 'which', 'the', 'observed', 'baryons', 'and', 'the', 'inferred', 'dark', 'matter', 'are', 'spatially', 'segregated', 'such', 'as', 'the', 'bullet', 'cluster', '1e0657558', 'the', 'full', 'descriptions', 'of', 'the', 'dark', 'matter', 'halo', 'and', 'xray', 'gas', 'substructure', 'motions', 'are', 'necessary', 'to', 'forecast', 'the', 'location', 'of', 'the', 'dark', 'halo', 'from', 'xray', 'maps', 'which', 'can', 'be', 'confirmed', 'by', 'the', 'detection', 'of', 'a', 'galaxy', 'concentration', 'or', 'by', 'gravitational', 'lensing', 'we', 'present', 'an', 'analytical', 'hydrodynamic', 'model', 'to', 'determine', 'the', 'distance', 'between', 'the', 'xray', 'and', 'darkmatter', 'components', 'and', 'the', 'mach', 'number', 'of', 'the', 'merger', 'shock', 'an', 'approximate', 'solution', 'is', 'given', 'for', 'the', 'problem', 'of', 'the', 'substructure', 'propagation', 'in', 'merging', 'clusters', 'a', 'new', 'method', 'to', 'predict', 'the', 'position', 'of', 'a', 'dark', 'matter', 'halo', 'in', 'clusters', 'where', 'there', 'is', 'a', 'separation', 'between', 'the', 'xray', 'gas', 'and', 'the', 'dark', 'halo', 'is', 'proposed', 'and', 'applied', 'to', 'the', 'clusters', '1e0657558', 'and', 'abell', '1763']] | [-0.08927366569593188, 0.09730645744083073, -0.15264038260905974, 0.13517623740744086, -0.0969790805176261, -0.006216635912536613, -0.01470529779251064, 0.3500609049213029, -0.23163529559218834, -0.38322028151202586, 0.03817794208655194, -0.2731633062204046, -0.022823495912035145, 0.1725879199412321, 0.05626488451755816, 0.012048419138356562, 0.012118906732047758, 0.00413207174879649, -0.017251577234316258, -0.26758518535418496, 0.32236312258267596, 0.04856772718109911, 0.16435546708563642, 0.012035616922883257, 0.11469482790318228, -0.0444068908225745, -0.06698494264255128, -0.002293693442498484, -0.1494700329723738, 0.0561835266998969, 0.2039185318014314, 0.14711518877095753, 0.20487103067759063, -0.3757327717999297, -0.22690739078266967, 0.11888141720790431, 0.2047474009765973, 0.08684656784959859, -0.1125332944966372, -0.3646486406004237, 0.08245777868094945, -0.2088283287301179, -0.141946157867149, 0.03865939696589785, 0.005612074018966767, 0.0655128872239842, -0.21820631504900032, 0.19089289568665047, -0.015335795944256167, -0.06022642327532653, -0.10579757475925068, -0.04802980424175339, -0.030622156997842175, 0.04764452898544409, 0.029975579519035116, 0.03800493326759146, 0.2027657777281298, -0.20822878374808257, -0.04506288691604089, 0.4435888000384664, -0.04425836164474247, -0.07833157740533352, 0.21642289769445217, -0.1481443503967321, -0.1555201800690303, 0.10103967260989931, 0.14306177014424917, 0.05108737175262743, -0.1522268775369852, 0.03509212345703535, -0.07452265997567485, 0.2347952976582512, 0.068441102317264, -0.016372954534393015, 0.36316854921920644, 0.1424757458179468, 0.09156055573121487, 0.09014399021924023, -0.18999391068373958, 0.0031522477045655252, -0.2606037271058848, -0.1295334659456726, -0.16398532973722585, -0.014207546091488292, -0.12010079780828223, -0.1557152727318387, 0.3334381349910531, 0.09279785647447551, 0.2000630920707819, 0.01776706666325129, 0.3191865365591741, 0.08306472711265087, 0.02464232316180583, 0.0942628686436482, 0.2982024581351828, 0.20875564105508307, 0.042158673050993634, -0.25612609876890574, 0.04098819746605811, 0.001795225573943988] |
708.2167 | Thompson's renormalization group method applied to QCD at high energy
scale | We use a renormalization group method to treat QCD-vacuum behavior specially
closer to the regime of asymptotic freedom. QCD-vacuum behaves effectively like
a "paramagnetic system" of a classical theory in the sense that virtual color
charges (gluons) emerges in it as a spin effect of a paramagnetic material when
a magnetic field aligns their microscopic magnetic dipoles. Due to that strong
classical analogy with the paramagnetism of Landau's theory,we will be able to
use a certain Landau effective action without temperature and phase transition
for just representing QCD-vacuum behavior at higher energies as being
magnetization of a paramagnetic material in the presence of a magnetic field
$H$. This reasoning will allow us to apply Thompson's approach to such an
action in order to extract an "effective susceptibility" ($\chi>0$) of
QCD-vacuum. It depends on logarithmic of energy scale $u$ to investigate
hadronic matter. Consequently we are able to get an ``effective magnetic
permeability" ($\mu>1$) of such a "paramagnetic vacuum". Actually,as QCD-vacuum
must obey Lorentz invariance,the attainment of $\mu>1$ must simply require that
the "effective electrical permissivity" is $\epsilon<1$ in such a way that
$\mu\epsilon=1$ ($c^2=1$). This leads to the anti-screening effect where the
asymptotic freedom takes place. We will also be able to extend our
investigation to include both the diamagnetic fermionic properties of
QED-vacuum (screening) and the paramagnetic bosonic properties of QCD-vacuum
(anti-screening) into the same formalism by obtaining a $\beta$-function at 1
loop,where both the bosonic and fermionic contributions are considered.
| hep-ph | we use a renormalization group method to treat qcdvacuum behavior specially closer to the regime of asymptotic freedom qcdvacuum behaves effectively like a paramagnetic system of a classical theory in the sense that virtual color charges gluons emerges in it as a spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles due to that strong classical analogy with the paramagnetism of landaus theorywe will be able to use a certain landau effective action without temperature and phase transition for just representing qcdvacuum behavior at higher energies as being magnetization of a paramagnetic material in the presence of a magnetic field h this reasoning will allow us to apply thompsons approach to such an action in order to extract an effective susceptibility chi0 of qcdvacuum it depends on logarithmic of energy scale u to investigate hadronic matter consequently we are able to get an effective magnetic permeability mu1 of such a paramagnetic vacuum actuallyas qcdvacuum must obey lorentz invariancethe attainment of mu1 must simply require that the effective electrical permissivity is epsilon1 in such a way that muepsilon1 c21 this leads to the antiscreening effect where the asymptotic freedom takes place we will also be able to extend our investigation to include both the diamagnetic fermionic properties of qedvacuum screening and the paramagnetic bosonic properties of qcdvacuum antiscreening into the same formalism by obtaining a betafunction at 1 loopwhere both the bosonic and fermionic contributions are considered | [['we', 'use', 'a', 'renormalization', 'group', 'method', 'to', 'treat', 'qcdvacuum', 'behavior', 'specially', 'closer', 'to', 'the', 'regime', 'of', 'asymptotic', 'freedom', 'qcdvacuum', 'behaves', 'effectively', 'like', 'a', 'paramagnetic', 'system', 'of', 'a', 'classical', 'theory', 'in', 'the', 'sense', 'that', 'virtual', 'color', 'charges', 'gluons', 'emerges', 'in', 'it', 'as', 'a', 'spin', 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0.11857261227300986, -0.2799810994711916, -0.00042652268307048736, 0.07883781127479053] |
708.2168 | Room-temperature magnetocaloric effect in La0.7Sr0.3Mn1-xM'xO3 (M'=Al,
Ti) | Magnetic entropy and adiabatic temperature changes in and above the
room-temperature region has been measured for La0.7Sr0.3Mn1-xM'xO3 (M' = Al,
Ti) by means of magnetization and heat capacity measurements in magnetic fields
up to 6 T. The magnetocaloric effect becomes largest at the ferromagnetic
ordering temperature Tc that is tuned to ~300 K by the substitution of Al or Ti
for Mn. While the substitution of Al for Mn drastically reduces the entropy
change, it extends considerably the working temperature span and improves the
relative cooling power. The magnetocaloric effect seems to be only lightly
affected by Ti substitution. Although manganites have been considered potential
for magnetic refrigerants, the magnetocaloric effect in these materials is
limited due to the existence of short-range ferromagnetic correlations above
Tc.
| cond-mat.mtrl-sci cond-mat.str-el | magnetic entropy and adiabatic temperature changes in and above the roomtemperature region has been measured for la07sr03mn1xmxo3 m al ti by means of magnetization and heat capacity measurements in magnetic fields up to 6 t the magnetocaloric effect becomes largest at the ferromagnetic ordering temperature tc that is tuned to 300 k by the substitution of al or ti for mn while the substitution of al for mn drastically reduces the entropy change it extends considerably the working temperature span and improves the relative cooling power the magnetocaloric effect seems to be only lightly affected by ti substitution although manganites have been considered potential for magnetic refrigerants the magnetocaloric effect in these materials is limited due to the existence of shortrange ferromagnetic correlations above tc | [['magnetic', 'entropy', 'and', 'adiabatic', 'temperature', 'changes', 'in', 'and', 'above', 'the', 'roomtemperature', 'region', 'has', 'been', 'measured', 'for', 'la07sr03mn1xmxo3', 'm', 'al', 'ti', 'by', 'means', 'of', 'magnetization', 'and', 'heat', 'capacity', 'measurements', 'in', 'magnetic', 'fields', 'up', 'to', '6', 't', 'the', 'magnetocaloric', 'effect', 'becomes', 'largest', 'at', 'the', 'ferromagnetic', 'ordering', 'temperature', 'tc', 'that', 'is', 'tuned', 'to', '300', 'k', 'by', 'the', 'substitution', 'of', 'al', 'or', 'ti', 'for', 'mn', 'while', 'the', 'substitution', 'of', 'al', 'for', 'mn', 'drastically', 'reduces', 'the', 'entropy', 'change', 'it', 'extends', 'considerably', 'the', 'working', 'temperature', 'span', 'and', 'improves', 'the', 'relative', 'cooling', 'power', 'the', 'magnetocaloric', 'effect', 'seems', 'to', 'be', 'only', 'lightly', 'affected', 'by', 'ti', 'substitution', 'although', 'manganites', 'have', 'been', 'considered', 'potential', 'for', 'magnetic', 'refrigerants', 'the', 'magnetocaloric', 'effect', 'in', 'these', 'materials', 'is', 'limited', 'due', 'to', 'the', 'existence', 'of', 'shortrange', 'ferromagnetic', 'correlations', 'above', 'tc']] | [-0.13321939132090907, 0.23687306535805785, 0.047888179540619136, -0.01749442959947872, -0.05295433760094907, -0.14309313176800648, 0.14580462046245474, 0.36730332867873294, -0.2747427450808426, -0.35685576216858483, 0.005792255859799503, -0.35646494976859805, -0.027877300842514923, 0.2137289794965557, 0.012414649658181119, 0.005704467113138244, -0.08569173588447514, 0.006125201088105959, -0.12857118325736072, -0.27320462287659003, 0.25361578707440546, 0.10097391698265358, 0.2881015088491803, 0.11604148232952631, -0.0051071015261714495, -0.05234136665615464, 0.11762800719213462, 0.11312790055789294, -0.1311326584961916, -0.01864114702690248, 0.2355797417168956, -0.06492709060717795, 0.1902888434518489, -0.36574971268419176, -0.2669144454712589, 0.057924172213871875, 0.10428024787125328, 0.10667878097756917, -0.062263643200088654, -0.23407519752940825, 0.10667514820928656, -0.11825856305433498, -0.06840606016151968, -0.11556225003932336, 0.05083293112881121, -0.019725648099519013, -0.27131928652787823, 0.10903306123087063, 0.1655046286765766, 0.16607123421084496, -0.07927772464350827, -0.1783981984406109, -0.0803759855616297, 0.03345571632023841, 0.06468820910442681, 0.06560191469273582, 0.19047876358813337, -0.047253404119645334, -0.060215916345647026, 0.3208796750874289, -0.043872684075106534, -0.03408354407386674, 0.14011746341542852, -0.20616658650819333, -0.07033058433913655, 0.19999456974948127, 0.09243527801863233, 0.09300615064679615, -0.14519117549512414, 0.15868774969919375, 0.06861867703827879, 0.17504202081040748, 0.08644658261759867, 0.04232333032526977, 0.20352168222739092, 0.1652999098629563, 0.0484975149701049, 0.1517158536739918, -0.12004775944871889, -0.02801595081062612, -0.1469936295930717, -0.21031416119677165, -0.23764505606490158, 0.06616404826467435, -0.08153860056782217, -0.13689927845412203, 0.3254133307510206, 0.1909537929891338, 0.17874105200321683, -0.09237292130180116, 0.21921963540596828, 0.1144292090048698, 0.10474418429657817, 0.07936317107129481, 0.2770666250012695, 0.22590058326773765, 0.220717990877963, -0.339956441436023, 0.1590484577276173, 0.0009958982249842056] |
708.2169 | Photogalvanic effects in HgTe quantum wells | We report on the observation of the terahertz radiation induced circular
(CPGE) and linear (LPGE) photogalvanic effects in HgTe quantum wells. The
current response is well described by the phenomenological theory of CPGE and
LPGE.
| cond-mat.mes-hall | we report on the observation of the terahertz radiation induced circular cpge and linear lpge photogalvanic effects in hgte quantum wells the current response is well described by the phenomenological theory of cpge and lpge | [['we', 'report', 'on', 'the', 'observation', 'of', 'the', 'terahertz', 'radiation', 'induced', 'circular', 'cpge', 'and', 'linear', 'lpge', 'photogalvanic', 'effects', 'in', 'hgte', 'quantum', 'wells', 'the', 'current', 'response', 'is', 'well', 'described', 'by', 'the', 'phenomenological', 'theory', 'of', 'cpge', 'and', 'lpge']] | [-0.1852520384825766, 0.21689368451812438, -0.02178321604483894, 0.006509987175065492, -0.04140742634023939, -0.11037457548081875, 0.006789714660096382, 0.365065985545516, -0.254810950585774, -0.27669355938477175, 0.0033815082794587527, -0.30764203827295983, -0.2128687151840755, 0.2403385835566691, 0.006263905171571034, 0.1038423626018422, -0.08082782490445035, -0.10266454571059772, -0.016954509967139788, -0.11471526870903159, 0.25145239101922406, 0.08011258137744985, 0.28977381508531314, 0.11017908858401435, 0.08732379112126572, 0.07416761091777256, 0.020209441174353873, 0.06034971570063915, -0.1581058470066637, 0.008597486865307603, 0.2192741911326136, -0.11332052136172674, 0.15092421706233705, -0.46148416682013443, -0.21531876479940756, -0.03897594439664057, 0.018682849087885447, 0.17863868687834059, -0.1145149990018191, -0.3309084648532527, -0.009757312600101743, -0.1565972146178995, -0.06663320721792323, -0.01624855123726385, -0.01951737329363823, -0.03860041169183595, -0.19245072390351978, 0.10406480257266335, 0.05039903267752379, 0.07397112391356911, -0.06896001873537898, -0.09675536725137915, -0.021363514828096543, -0.008591244519422097, 0.01004630520806781, -0.02751696939979281, 0.2228193651618702, -0.12339131903967687, -0.23516674275909152, 0.37744785906480893, -0.1425874711679561, -0.0780691307570253, 0.059780714634273736, -0.26942940166752255, 0.0009939014179898159, 0.043708371371030806, 0.15734925070511444, 0.14757767439420735, -0.08328281075560622, 0.1668299420040317, -0.002688994923872607, 0.09321441780775785, 0.06106575546520097, 0.12350873315174665, 0.31743053847125596, 0.17908151341336115, -0.006828158402017184, 0.13280385030167444, -0.1418072421436331, -0.031924857352195045, -0.2849291145801544, -0.06885130098921113, -0.2025140724277922, 0.1028643786907196, 0.045848937705990724, -0.2231338313647679, 0.4566914556814092, 0.1088472280651331, 0.1269849111725177, -0.029564165776329383, 0.3077106130442449, 0.1809070400627596, 0.04262670608503478, -0.03677283377785768, 0.36790925860404966, 0.23293904519107725, 0.06391134960576891, -0.3630443804631276, 0.04449075526957001, -0.041031444495144696] |
708.217 | Future Directions of Research in Geometry: A Summary of the Panel
Discussion at the 2007 Midwest Geometry Conference | The 2007 Midwest Geometry Conference included a panel discussion devoted to
open problems and the general direction of future research in fields related to
the main themes of the conference. This paper summarizes the comments made
during the panel discussion.
| math.DG gr-qc hep-th math-ph math.MP | the 2007 midwest geometry conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference this paper summarizes the comments made during the panel discussion | [['the', '2007', 'midwest', 'geometry', 'conference', 'included', 'a', 'panel', 'discussion', 'devoted', 'to', 'open', 'problems', 'and', 'the', 'general', 'direction', 'of', 'future', 'research', 'in', 'fields', 'related', 'to', 'the', 'main', 'themes', 'of', 'the', 'conference', 'this', 'paper', 'summarizes', 'the', 'comments', 'made', 'during', 'the', 'panel', 'discussion']] | [-0.11120735085569322, 0.057348932651802895, -0.014882223692256957, 0.005930300787440501, -0.18249410758726298, -0.07303523224545642, -0.006611687314580195, 0.3069678680971265, -0.21008393866941333, -0.3207120401901193, 0.1806173163553467, -0.30121364421211183, -0.16564084868878126, 0.22167725441977382, -0.15919366825837641, 0.012837853468954562, 0.13014632971026002, 0.010610578441992402, -0.029617369850166143, -0.3956666453741491, 0.32752266523893925, 0.19276471014600247, 0.34211369454860685, 0.12150487387552858, 0.031701743393205105, 0.05314106652513147, -0.2570959782693535, -0.014295565208885818, -0.1710890438167553, 0.21142287510447205, 0.344602708844468, 0.138895506109111, 0.3343628189060837, -0.4472515184432268, -0.14193096503659036, -0.02645630737533793, 0.01291273410897702, 0.062294107757043096, -0.06557577463099733, -0.3267043030820787, -0.057312277024902866, -0.13770918594673276, -0.19465783293126152, 0.09684219951741398, 0.04039203547290526, -0.004120184131897986, -0.08695140387862921, 0.011117645655758679, 0.10196462540479842, 0.11559402970597148, -0.022302830079570412, -0.19429002073302398, 0.10956519790925086, 0.13212849423871376, 0.15615249508991838, 0.09990073511726223, 0.08549229968339205, -0.11526671861647628, -0.1679234886309132, 0.3828397742472589, 0.02432131400855724, -0.06025655617704615, 0.12869473448954521, -0.15913081518374383, -0.23003693233476952, 0.005684057530015707, 0.32027369029819963, 0.06594774893019348, -0.22514074954669921, 0.09971826972760027, -0.002193106396589428, 0.16815767289081124, 0.060835923487320545, -0.08612439502467169, 0.2693169442005455, 0.17485901296604425, -0.033759122458286585, 0.14352687284117566, 0.011085000494495035, -0.14135549059137703, -0.40826413719914856, -0.14683858176867942, -0.028636438562534748, -0.025082814251072706, 0.10048246644473693, -0.13286947109736502, 0.4847524734213948, 0.21620981711894274, 0.1218906307592988, -0.1069277128437534, 0.21407929956912994, -0.036864700389560315, -0.03987728129141033, 0.07117201120126992, 0.1896513977088034, 0.16413314817473293, 0.25977569438982756, -0.10412066410062834, 0.00842966239724774, 0.03060314616886899] |
708.2171 | Control of laser wake field acceleration by plasma density profile | We show that both the maximum energy gain and the accelerated beam quality
can be efficiently controlled by the plasma density profile. Choosing a proper
density gradient one can uplift the dephasing limitation. When a periodic wake
field is exploited, the phase synchronism between the bunch of relativistic
particles and the plasma wave can be maintained over extended distances due to
the plasma density gradient. Putting electrons into the $n-$th wake period
behind the driving laser pulse, the maximum energy gain is increased by the
factor $2\pi n$ over that in the case of uniform plasma. The acceleration is
limited then by laser depletion rather than by dephasing. Further, we show that
the natural energy spread of the particle bunch acquired at the acceleration
stage can be effectively removed by a matched deceleration stage, where a
larger plasma density is used.
| physics.plasm-ph physics.acc-ph | we show that both the maximum energy gain and the accelerated beam quality can be efficiently controlled by the plasma density profile choosing a proper density gradient one can uplift the dephasing limitation when a periodic wake field is exploited the phase synchronism between the bunch of relativistic particles and the plasma wave can be maintained over extended distances due to the plasma density gradient putting electrons into the nth wake period behind the driving laser pulse the maximum energy gain is increased by the factor 2pi n over that in the case of uniform plasma the acceleration is limited then by laser depletion rather than by dephasing further we show that the natural energy spread of the particle bunch acquired at the acceleration stage can be effectively removed by a matched deceleration stage where a larger plasma density is used | [['we', 'show', 'that', 'both', 'the', 'maximum', 'energy', 'gain', 'and', 'the', 'accelerated', 'beam', 'quality', 'can', 'be', 'efficiently', 'controlled', 'by', 'the', 'plasma', 'density', 'profile', 'choosing', 'a', 'proper', 'density', 'gradient', 'one', 'can', 'uplift', 'the', 'dephasing', 'limitation', 'when', 'a', 'periodic', 'wake', 'field', 'is', 'exploited', 'the', 'phase', 'synchronism', 'between', 'the', 'bunch', 'of', 'relativistic', 'particles', 'and', 'the', 'plasma', 'wave', 'can', 'be', 'maintained', 'over', 'extended', 'distances', 'due', 'to', 'the', 'plasma', 'density', 'gradient', 'putting', 'electrons', 'into', 'the', 'nth', 'wake', 'period', 'behind', 'the', 'driving', 'laser', 'pulse', 'the', 'maximum', 'energy', 'gain', 'is', 'increased', 'by', 'the', 'factor', '2pi', 'n', 'over', 'that', 'in', 'the', 'case', 'of', 'uniform', 'plasma', 'the', 'acceleration', 'is', 'limited', 'then', 'by', 'laser', 'depletion', 'rather', 'than', 'by', 'dephasing', 'further', 'we', 'show', 'that', 'the', 'natural', 'energy', 'spread', 'of', 'the', 'particle', 'bunch', 'acquired', 'at', 'the', 'acceleration', 'stage', 'can', 'be', 'effectively', 'removed', 'by', 'a', 'matched', 'deceleration', 'stage', 'where', 'a', 'larger', 'plasma', 'density', 'is', 'used']] | [-0.11464727172753543, 0.2565191165834718, -0.11441883370808675, 0.055462985103025185, -0.015134321687518493, -0.09957449365174398, 0.0022233938484564953, 0.40335856629073197, -0.28485615379243084, -0.3106787392278433, 0.04764732890118389, -0.20536090908671153, -0.0029105190930769163, 0.19246376792698808, -0.02634719754602258, 0.009693075470124365, 0.04956153497522604, 0.01417785450314165, -0.03215995889094308, -0.2031539028984369, 0.26365278727137187, 0.13591889884481403, 0.2744170894238649, 0.049662936875160706, 0.1034917201506674, -0.010843206340684853, 0.04231300364402849, 0.04905448280644755, -0.08644047626757587, 0.05461002799107673, 0.18218871066511894, 0.0758139684859082, 0.313325432538722, -0.47753429470966896, -0.2791104912625771, 0.05693840957576977, 0.19639202263965833, 0.10340986655139965, -0.05556848934514726, -0.24497571671282517, 0.03552781153760903, -0.18640379145318733, -0.1433016934517956, 0.018303916082842975, 0.006189250014887475, 0.07295882952042874, -0.2980858012901764, 0.0752355154564089, 0.02315812950940631, -0.019410970716585294, -0.015376830052465517, -0.04342787768295471, -0.040395877320742145, 0.0540845490645713, 0.060980658865936684, 0.10401897644293857, 0.21828337336712061, -0.12255010285896929, -0.022514639531282035, 0.3707031558485741, -0.10187339300427219, -0.15430947467486592, 0.11842044591837635, -0.17970837708001178, 0.02293311688282811, 0.227047500061862, 0.1456624473827389, 0.07438637922577401, -0.11565497395937935, 0.02658742140394021, 0.03141877362316768, 0.19899370761073015, 0.1767458505003799, -0.00854192108431078, 0.22974552330395853, 0.14108229493755345, 0.09503597947636765, 0.1463766530963612, -0.12315003505861717, -0.035645969192239835, -0.2889540205141595, -0.10253117228148122, -0.19956388617106152, 0.03959898596680277, -0.11106609848327109, -0.06862175656343869, 0.43229083070227653, 0.1421694745580461, 0.14474279507466242, -0.04037762448482268, 0.33064935257301686, 0.1876407831524175, 0.042198894043136814, 0.12353639624656197, 0.24972597287525258, 0.10873919340339325, 0.0889247567439328, -0.2877432596093665, 0.05615820275976303, 0.04017696078496833] |
708.2172 | Gravitational stability in the disk of M51 | Star formation laws, like i.e. the Schmidt law relating star formation rate
and total gas density, have been studied in several spiral galaxies but the
underlying physics are not yet well understood. M51, as a nearby face-on, grand
design spiral galaxy studied in many line transitions, is an ideal target to
study the connection between physical conditions of the gas and star formation
activity. In this contribution we combine molecular, atomic, total gas and
stellar surface densities and study the gravitational stability of the gas
(Schuster et al.2007, Hitschfeld et al. in prep.). From our IRAM-30m 12 CO2-1
map and complementary HI-, Radio Continuum- and ACS-HST B-band-data we derive
maps of the total gas density and the stellar surface density to study the
gravitational stability of the gas via the Toomre Q parameter.
| astro-ph | star formation laws like ie the schmidt law relating star formation rate and total gas density have been studied in several spiral galaxies but the underlying physics are not yet well understood m51 as a nearby faceon grand design spiral galaxy studied in many line transitions is an ideal target to study the connection between physical conditions of the gas and star formation activity in this contribution we combine molecular atomic total gas and stellar surface densities and study the gravitational stability of the gas schuster et al2007 hitschfeld et al in prep from our iram30m 12 co21 map and complementary hi radio continuum and acshst bbanddata we derive maps of the total gas density and the stellar surface density to study the gravitational stability of the gas via the toomre q parameter | [['star', 'formation', 'laws', 'like', 'ie', 'the', 'schmidt', 'law', 'relating', 'star', 'formation', 'rate', 'and', 'total', 'gas', 'density', 'have', 'been', 'studied', 'in', 'several', 'spiral', 'galaxies', 'but', 'the', 'underlying', 'physics', 'are', 'not', 'yet', 'well', 'understood', 'm51', 'as', 'a', 'nearby', 'faceon', 'grand', 'design', 'spiral', 'galaxy', 'studied', 'in', 'many', 'line', 'transitions', 'is', 'an', 'ideal', 'target', 'to', 'study', 'the', 'connection', 'between', 'physical', 'conditions', 'of', 'the', 'gas', 'and', 'star', 'formation', 'activity', 'in', 'this', 'contribution', 'we', 'combine', 'molecular', 'atomic', 'total', 'gas', 'and', 'stellar', 'surface', 'densities', 'and', 'study', 'the', 'gravitational', 'stability', 'of', 'the', 'gas', 'schuster', 'et', 'al2007', 'hitschfeld', 'et', 'al', 'in', 'prep', 'from', 'our', 'iram30m', '12', 'co21', 'map', 'and', 'complementary', 'hi', 'radio', 'continuum', 'and', 'acshst', 'bbanddata', 'we', 'derive', 'maps', 'of', 'the', 'total', 'gas', 'density', 'and', 'the', 'stellar', 'surface', 'density', 'to', 'study', 'the', 'gravitational', 'stability', 'of', 'the', 'gas', 'via', 'the', 'toomre', 'q', 'parameter']] | [-0.07772547727226785, 0.047752777040862296, -0.06847667972066702, 0.09905142130913171, -0.042651012872224885, -0.009473427641383222, 0.023192618521666226, 0.3737431512932286, -0.16240667611296566, -0.3524133116149038, 0.05896321000204287, -0.22408640437283134, -0.09689524820437015, 0.12801838183610253, -0.0072937040787033796, 0.02771659475530832, -0.05028244586419741, -0.1352636673450399, -0.059765819204217606, -0.26267365363821077, 0.32023046053377274, 0.09914952167487553, 0.19609122401999154, -0.010626169152643162, 0.056340462794769126, -0.09849978176848466, -0.10799558883184525, -0.025369620903302696, -0.2631183723272144, 0.02660157849287031, 0.21719786789239817, 0.11737915437547704, 0.21153237223838464, -0.39280647885424036, -0.23382009988835523, 0.05706053484544044, 0.15682528055546704, 0.06622431164017331, -0.05904996222443168, -0.26599329175029435, 0.0059021767833135055, -0.22593533788551753, -0.17925115823141435, 0.038231662774941964, 0.06964174780340596, 0.08007288438211131, -0.21179800523615633, 0.15645620293687773, 0.020702598556940167, 0.09957566489074521, -0.11531211670225074, -0.07479367766330261, -0.10014731459717714, 0.09104886912840297, -0.03718120942446794, 0.10273506893698155, 0.24896574112807066, -0.1587481680237297, -0.014041415541894904, 0.3957279744124367, -0.06194089993457701, -0.041990465875572834, 0.2905699765977969, -0.23652123491535718, -0.18692742356539968, 0.1318489335555555, 0.14012830551866556, 0.06054265780370187, -0.14415394073309562, 0.0499148064080576, -0.09264434336147889, 0.1708056313902822, 0.09338915679170146, 0.06352109381520697, 0.3227351222841339, 0.08537616935480415, 0.06235171620376792, 0.09547736386960472, -0.19537610081486576, -0.08454906699675996, -0.20229974282436244, -0.12761960669690814, -0.1675232370803488, 0.0733221017255471, -0.05659828316662478, -0.07866962527045766, 0.3066008560002234, 0.043063298905737527, 0.24464616175200649, 0.01643772176395789, 0.3078899200266327, 0.07691374054055959, 0.038766820776411366, 0.11754896690471824, 0.28054126726378126, 0.24039252324186208, 0.06758663627116422, -0.30540328813567474, 0.04378409470779864, 0.05679657637809922] |
708.2173 | Provenance as Dependency Analysis | Provenance is information recording the source, derivation, or history of
some information. Provenance tracking has been studied in a variety of
settings; however, although many design points have been explored, the
mathematical or semantic foundations of data provenance have received
comparatively little attention. In this paper, we argue that dependency
analysis techniques familiar from program analysis and program slicing provide
a formal foundation for forms of provenance that are intended to show how (part
of) the output of a query depends on (parts of) its input. We introduce a
semantic characterization of such dependency provenance, show that this form of
provenance is not computable, and provide dynamic and static approximation
techniques.
| cs.DB cs.PL | provenance is information recording the source derivation or history of some information provenance tracking has been studied in a variety of settings however although many design points have been explored the mathematical or semantic foundations of data provenance have received comparatively little attention in this paper we argue that dependency analysis techniques familiar from program analysis and program slicing provide a formal foundation for forms of provenance that are intended to show how part of the output of a query depends on parts of its input we introduce a semantic characterization of such dependency provenance show that this form of provenance is not computable and provide dynamic and static approximation techniques | [['provenance', 'is', 'information', 'recording', 'the', 'source', 'derivation', 'or', 'history', 'of', 'some', 'information', 'provenance', 'tracking', 'has', 'been', 'studied', 'in', 'a', 'variety', 'of', 'settings', 'however', 'although', 'many', 'design', 'points', 'have', 'been', 'explored', 'the', 'mathematical', 'or', 'semantic', 'foundations', 'of', 'data', 'provenance', 'have', 'received', 'comparatively', 'little', 'attention', 'in', 'this', 'paper', 'we', 'argue', 'that', 'dependency', 'analysis', 'techniques', 'familiar', 'from', 'program', 'analysis', 'and', 'program', 'slicing', 'provide', 'a', 'formal', 'foundation', 'for', 'forms', 'of', 'provenance', 'that', 'are', 'intended', 'to', 'show', 'how', 'part', 'of', 'the', 'output', 'of', 'a', 'query', 'depends', 'on', 'parts', 'of', 'its', 'input', 'we', 'introduce', 'a', 'semantic', 'characterization', 'of', 'such', 'dependency', 'provenance', 'show', 'that', 'this', 'form', 'of', 'provenance', 'is', 'not', 'computable', 'and', 'provide', 'dynamic', 'and', 'static', 'approximation', 'techniques']] | [-0.1028796517319541, -0.01766071152697141, -0.12891216124701607, 0.09588160130891714, -0.18660832753589562, -0.10762543507709026, 0.02399812898019681, 0.39249059634266403, -0.2635952376567566, -0.32756221193719554, 0.13818256644876087, -0.24941853057542765, -0.1668811459094286, 0.18723367180608147, -0.09651652358992545, 0.074020458158286, 0.08362493732616909, 0.07769656042109017, -0.047241591456186796, -0.22738708327272655, 0.3113228346888177, 0.02991036273673311, 0.28993054346584185, 0.0944572972083414, 0.11353462142555194, 0.022963477437057206, -0.11893130380341464, 0.04802169759447376, -0.12764457452863712, 0.1590739102889406, 0.34785032008883654, 0.3168224492571778, 0.3019976064118112, -0.4390761418654038, -0.2182836621613787, 0.04646595752890314, 0.14028677188262745, 0.09973129124783382, -0.08850937210514236, -0.2502485045005341, 0.09968008870061755, -0.20526468052386163, -0.029048636045961362, -0.14328697210530172, 0.04567157159567819, 0.003613701517072817, -0.19957155026730122, -0.038583235579190425, 0.1268227114887522, 0.15479082140131845, -0.012918347388984182, -0.09029585205706524, 0.018177054078855157, 0.17795812089398905, 0.022079399421911786, 0.009956615056154562, 0.1336376538902924, -0.12815572262263378, -0.14931782140388145, 0.3660923633808354, 0.005824049855037047, -0.20263802831119918, 0.17433350534086023, -0.09972257500615071, -0.208062331208976, 0.10512574606675755, 0.18400336424442562, 0.09631368189815197, -0.20754788196771531, 0.12419896212727385, -0.051284923478289765, 0.2087895027445713, 0.07654514433270707, 0.08616507467436227, 0.20603079212879813, 0.19985241743501042, 0.030624415792067542, 0.14555824567303732, -0.031742711928788456, -0.09252093968019393, -0.2529810836018474, -0.16215174607009636, -0.14508169175855615, -0.004277308869908715, -0.054367986112976704, -0.21750074911124265, 0.36908822337811525, 0.20762071741728094, 0.18574706848442285, 0.04787164075753173, 0.35266046162258397, 0.048922789022997695, 0.07710001708285229, 0.07193910401012446, 0.1684038369690366, 0.07239368194840043, 0.1702216295819092, -0.11546391705921558, 0.17463465976352627, 0.03553943121637981] |
708.2174 | A geometric analysis of the Maxwell field in a vicinity of a multipole
particle and new special functions | A method of solving Maxwell equations in a vicinity of a multipole particle
(moving along an arbitrary trajectory) is proposed. The method is based on a
geometric construction of a trajectory-adapted coordinate system, which
simplifies considerably the equations. The solution is given in terms of a
series, where a new family of special functions arises in a natural way.
Singular behaviour of the field near to the particle may be analyzed this way
up to an arbitrary order. Application to the self-interaction problems in
classical electrodynamics is discussed.
| physics.class-ph | a method of solving maxwell equations in a vicinity of a multipole particle moving along an arbitrary trajectory is proposed the method is based on a geometric construction of a trajectoryadapted coordinate system which simplifies considerably the equations the solution is given in terms of a series where a new family of special functions arises in a natural way singular behaviour of the field near to the particle may be analyzed this way up to an arbitrary order application to the selfinteraction problems in classical electrodynamics is discussed | [['a', 'method', 'of', 'solving', 'maxwell', 'equations', 'in', 'a', 'vicinity', 'of', 'a', 'multipole', 'particle', 'moving', 'along', 'an', 'arbitrary', 'trajectory', 'is', 'proposed', 'the', 'method', 'is', 'based', 'on', 'a', 'geometric', 'construction', 'of', 'a', 'trajectoryadapted', 'coordinate', 'system', 'which', 'simplifies', 'considerably', 'the', 'equations', 'the', 'solution', 'is', 'given', 'in', 'terms', 'of', 'a', 'series', 'where', 'a', 'new', 'family', 'of', 'special', 'functions', 'arises', 'in', 'a', 'natural', 'way', 'singular', 'behaviour', 'of', 'the', 'field', 'near', 'to', 'the', 'particle', 'may', 'be', 'analyzed', 'this', 'way', 'up', 'to', 'an', 'arbitrary', 'order', 'application', 'to', 'the', 'selfinteraction', 'problems', 'in', 'classical', 'electrodynamics', 'is', 'discussed']] | [-0.14768618741340336, 0.06113209619605646, -0.11982972324750889, 0.009664444230100804, -0.09369646040080436, -0.08494962435001614, -0.025154306177630613, 0.26870051701285547, -0.27498344982835066, -0.28238981152916776, 0.07542913542905201, -0.243283152615052, -0.16467483242138706, 0.23325607872396792, -0.065725240018754, 0.056301881976682566, 0.02107487922941131, 0.08513794689781792, -0.10757823584430005, -0.2085460222526266, 0.31672484393434963, 0.046269694696469556, 0.24665302193413177, 0.018616596238163096, 0.15473526198117213, 0.007675061818619056, 0.02352306529365737, 0.06523420755890594, -0.0738022926573952, 0.12423942265925052, 0.2207932593729133, 0.062076710806838395, 0.2818647858783089, -0.3810046252248616, -0.19088987559421342, 0.07852299401172619, 0.17262761326956338, 0.162936048029558, -0.05973529923391453, -0.27840724994225063, 0.05951242913202993, -0.15047985554576435, -0.22236679147543578, -0.043981722647045876, 0.009828951360989662, 0.016928246672982455, -0.3065126247104557, 0.022815758988646597, 0.05365432886107043, 0.020813518578464956, -0.08085144126530865, -0.048853268141687, 0.05810513188420185, 0.051273569309463106, 0.043794296879920806, 0.06705142164752743, 0.10935977356636832, -0.13464530174963005, -0.10627850676062463, 0.4322881487234303, -0.06744604974572986, -0.28837081631538514, 0.1495282596871043, -0.09633926956796612, -0.11190120610756393, 0.1557001146466482, 0.19336248556387492, 0.19265018800680322, -0.17951246457516976, 0.14264757747644152, -0.05050524077966981, 0.123988408113605, 0.06223801807125752, -0.01591889126140667, 0.18242003026033013, 0.15087410041141783, 0.09345033709709158, 0.16988710486249806, -0.034591754173174845, -0.15942603087416668, -0.34984607844688426, -0.1928554084396188, -0.1767126190872199, 0.030944808801079447, -0.11519589673074755, -0.21339885729375754, 0.41434755310116483, 0.12189330284593455, 0.17977115558460355, 0.0006094030251769328, 0.27356409660444175, 0.1970607933277885, 0.051637633457437326, 0.049465887983471436, 0.20427654725338878, 0.1304653166584542, 0.09725797610443043, -0.20982657655559736, -0.0015019623498464453, 0.11523911352911644] |
708.2175 | Cyclotron resonance photoconductivity of a two-dimensional electron gas
in HgTe quantum wells | Far-infrared cyclotron resonance photoconductivity (CRP) is investigated in
HgTe quantum wells (QWs) of various widths grown on (013) oriented GaAs
substrates. It is shown that CRP is caused by the heating of two-dimensional
electron gas (2DEG). From the resonance magnetic field strength effective
masses and their dependence on the carrier concentration is obtained. We found
that the effective mass in each sample slightly increases from the value
(0.0260 \pm 0.0005)m_0 at N_s = 2.2x10^11 cm^(-2) to (0.0335 \pm 0.0005)m_0 at
N_s = 9.6x10^11 cm^(-2). Compared to determination of effective masses by the
temperature dependence of magnitudes of the Shubnikov-de Haas (SdH)
oscillations used so far in this material our measurements demonstrate that the
CRP provides a more accurate (about few percents) tool. Combining optical
methods with transport measurements we found that the transport time
substantially exceeds the cyclotron resonance lifetime as well as the quantum
lifetime which is the shortest.
| cond-mat.mes-hall | farinfrared cyclotron resonance photoconductivity crp is investigated in hgte quantum wells qws of various widths grown on 013 oriented gaas substrates it is shown that crp is caused by the heating of twodimensional electron gas 2deg from the resonance magnetic field strength effective masses and their dependence on the carrier concentration is obtained we found that the effective mass in each sample slightly increases from the value 00260 pm 00005m_0 at n_s 22x1011 cm2 to 00335 pm 00005m_0 at n_s 96x1011 cm2 compared to determination of effective masses by the temperature dependence of magnitudes of the shubnikovde haas sdh oscillations used so far in this material our measurements demonstrate that the crp provides a more accurate about few percents tool combining optical methods with transport measurements we found that the transport time substantially exceeds the cyclotron resonance lifetime as well as the quantum lifetime which is the shortest | [['farinfrared', 'cyclotron', 'resonance', 'photoconductivity', 'crp', 'is', 'investigated', 'in', 'hgte', 'quantum', 'wells', 'qws', 'of', 'various', 'widths', 'grown', 'on', '013', 'oriented', 'gaas', 'substrates', 'it', 'is', 'shown', 'that', 'crp', 'is', 'caused', 'by', 'the', 'heating', 'of', 'twodimensional', 'electron', 'gas', '2deg', 'from', 'the', 'resonance', 'magnetic', 'field', 'strength', 'effective', 'masses', 'and', 'their', 'dependence', 'on', 'the', 'carrier', 'concentration', 'is', 'obtained', 'we', 'found', 'that', 'the', 'effective', 'mass', 'in', 'each', 'sample', 'slightly', 'increases', 'from', 'the', 'value', '00260', 'pm', '00005m_0', 'at', 'n_s', '22x1011', 'cm2', 'to', '00335', 'pm', '00005m_0', 'at', 'n_s', '96x1011', 'cm2', 'compared', 'to', 'determination', 'of', 'effective', 'masses', 'by', 'the', 'temperature', 'dependence', 'of', 'magnitudes', 'of', 'the', 'shubnikovde', 'haas', 'sdh', 'oscillations', 'used', 'so', 'far', 'in', 'this', 'material', 'our', 'measurements', 'demonstrate', 'that', 'the', 'crp', 'provides', 'a', 'more', 'accurate', 'about', 'few', 'percents', 'tool', 'combining', 'optical', 'methods', 'with', 'transport', 'measurements', 'we', 'found', 'that', 'the', 'transport', 'time', 'substantially', 'exceeds', 'the', 'cyclotron', 'resonance', 'lifetime', 'as', 'well', 'as', 'the', 'quantum', 'lifetime', 'which', 'is', 'the', 'shortest']] | [-0.1197502826833212, 0.20742774935780275, -0.026413115049699242, 0.03532258083086304, 0.006505900639778291, -0.15154946664623706, 0.05640083308738302, 0.3878052479679316, -0.19973755804584098, -0.37328467603353127, 0.0078112278822284765, -0.3298880843589948, -0.05389156386675969, 0.278727820707144, 0.009191129274640076, 0.05346336506280891, 0.003968434072178329, -0.029632608065198004, -0.07507614594471024, -0.17425762550433127, 0.23269043287629604, 0.09355360907535265, 0.31150126917628757, 0.11805029270939306, 0.03678443623644392, -0.01215388404835068, 0.09098133953078322, 0.004553355010960933, -0.19137595284721587, 0.03984007403306978, 0.21933323788312328, -0.0673259191319976, 0.18917616526924178, -0.35985518647758513, -0.20981458801133426, -0.013195465489382475, 0.18960390478851352, 0.11141319785342539, -0.07600445062970221, -0.28446830546116114, 0.03544665848783834, -0.1175564549696094, -0.09751896121913016, -0.005962378220816313, 0.03131111787097581, -0.058547957790490816, -0.24462246828594467, 0.16874610736632464, -0.04065896873936241, 0.07422118198247889, -0.10024925721579717, -0.19079378296081698, -0.05889205692063781, 0.05115191926966539, 0.06119843023586494, 0.046803908932521204, 0.27109504058222533, -0.06634555582750694, -0.07375089343617552, 0.35233906960167305, -0.11053301312003128, -0.07798661601821512, 0.12846132652329045, -0.23693214388380587, -0.04804385322392885, 0.1822229984550881, 0.11080017004020243, 0.10949236206369291, -0.13932520060137596, 0.05119272668372092, -0.011574686580324466, 0.23099981404801595, 0.07425095682019289, 0.08259421274800535, 0.25340591826431885, 0.17592789484909407, 0.04279604058017508, 0.047762351404075365, -0.17974838105843624, -0.007146936723254096, -0.17822851229485281, -0.10721145997971254, -0.206301581065341, 0.12959108488555526, -0.091533127486682, -0.14615865620685262, 0.41155772917234984, 0.19328944552624205, 0.22111581018338847, 0.010710442185395358, 0.29299975109194787, 0.16358415947154714, 0.10835949225518458, 0.04218846238152662, 0.2909170696921778, 0.22185174404958288, 0.13103003474034394, -0.2834177763778454, 0.07729018478929786, -0.03042632347861515] |
708.2176 | Link-space formalism for network analysis | We introduce the link-space formalism for analyzing network models with
degree-degree correlations. The formalism is based on a statistical description
of the fraction of links l_{i,j} connecting nodes of degrees i and j. To
demonstrate its use, we apply the framework to some pedagogical network models,
namely, random-attachment, Barabasi-Albert preferential attachment and the
classical Erdos and Renyi random graph. For these three models the link-space
matrix can be solved analytically. We apply the formalism to a simple
one-parameter growing network model whose numerical solution exemplifies the
effect of degree-degree correlations for the resulting degree distribution. We
also employ the formalism to derive the degree distributions of two very simple
network decay models, more specifically, that of random link deletion and
random node deletion. The formalism allows detailed analysis of the
correlations within networks and we also employ it to derive the form of a
perfectly non-assortative network for arbitrary degree distribution.
| physics.soc-ph | we introduce the linkspace formalism for analyzing network models with degreedegree correlations the formalism is based on a statistical description of the fraction of links l_ij connecting nodes of degrees i and j to demonstrate its use we apply the framework to some pedagogical network models namely randomattachment barabasialbert preferential attachment and the classical erdos and renyi random graph for these three models the linkspace matrix can be solved analytically we apply the formalism to a simple oneparameter growing network model whose numerical solution exemplifies the effect of degreedegree correlations for the resulting degree distribution we also employ the formalism to derive the degree distributions of two very simple network decay models more specifically that of random link deletion and random node deletion the formalism allows detailed analysis of the correlations within networks and we also employ it to derive the form of a perfectly nonassortative network for arbitrary degree distribution | [['we', 'introduce', 'the', 'linkspace', 'formalism', 'for', 'analyzing', 'network', 'models', 'with', 'degreedegree', 'correlations', 'the', 'formalism', 'is', 'based', 'on', 'a', 'statistical', 'description', 'of', 'the', 'fraction', 'of', 'links', 'l_ij', 'connecting', 'nodes', 'of', 'degrees', 'i', 'and', 'j', 'to', 'demonstrate', 'its', 'use', 'we', 'apply', 'the', 'framework', 'to', 'some', 'pedagogical', 'network', 'models', 'namely', 'randomattachment', 'barabasialbert', 'preferential', 'attachment', 'and', 'the', 'classical', 'erdos', 'and', 'renyi', 'random', 'graph', 'for', 'these', 'three', 'models', 'the', 'linkspace', 'matrix', 'can', 'be', 'solved', 'analytically', 'we', 'apply', 'the', 'formalism', 'to', 'a', 'simple', 'oneparameter', 'growing', 'network', 'model', 'whose', 'numerical', 'solution', 'exemplifies', 'the', 'effect', 'of', 'degreedegree', 'correlations', 'for', 'the', 'resulting', 'degree', 'distribution', 'we', 'also', 'employ', 'the', 'formalism', 'to', 'derive', 'the', 'degree', 'distributions', 'of', 'two', 'very', 'simple', 'network', 'decay', 'models', 'more', 'specifically', 'that', 'of', 'random', 'link', 'deletion', 'and', 'random', 'node', 'deletion', 'the', 'formalism', 'allows', 'detailed', 'analysis', 'of', 'the', 'correlations', 'within', 'networks', 'and', 'we', 'also', 'employ', 'it', 'to', 'derive', 'the', 'form', 'of', 'a', 'perfectly', 'nonassortative', 'network', 'for', 'arbitrary', 'degree', 'distribution']] | [-0.11440301860125761, 0.06953249240570979, -0.10123426911131655, 0.09049626058942915, -0.05167923364914148, -0.18500256068324922, 0.06746523906681309, 0.3814783951067413, -0.27378095778309414, -0.2818463937178053, 0.0020331286509030475, -0.28049557831390476, -0.22059960107986085, 0.09460038606335434, -0.008339524061444241, 0.03770343632070738, 0.053064618632512016, 0.033483292410351535, -0.035988280041508273, -0.22313676691693538, 0.3434760772396584, 0.04538830414703871, 0.28180996754707777, 0.05514352096911721, 0.08516159527101302, 0.07128819002065102, -0.0361054978271273, 0.04605702512088936, -0.16022401046491822, 0.1420194656805236, 0.1778855602194223, 0.1627634408871165, 0.23965605699797035, -0.437866412172396, -0.23309568069699044, 0.1310982401797397, 0.1184426122911375, 0.15432279763233572, 0.0372787884540181, -0.2476258619650695, 0.07196122196477812, -0.23272684829518422, -0.12833753062217068, -0.10666779899887892, 0.012913669063080405, 0.03460811046612877, -0.28405961135364566, 0.0764885654518022, 0.05809573469859724, 0.038069324190350806, 0.014148580072041778, -0.09496718103921897, -0.018004793006725407, 0.132437643928554, -0.02755613253929049, -0.02569864337282205, 0.08279139553888927, -0.10832982437962012, -0.12900213074848382, 0.3344314514181098, -0.030594978635702784, -0.24043874456421346, 0.15098185984675797, -0.10272864440245226, -0.18087473291765294, 0.041253371346691575, 0.2089780092843481, 0.11950375089371526, -0.1799747241044266, 0.05170857769592879, -0.040130797131742175, 0.11901143242328151, 0.030430229643447878, 0.014689122455672839, 0.1451416472256234, 0.152631773401014, 0.030091318865054967, 0.18527210617321543, -0.09438125278983214, -0.15134740084082493, -0.2799219337065478, -0.10438269297695091, -0.20615855426326193, 0.0382057756643327, -0.17865214565392454, -0.17562867315624514, 0.44613455256094803, 0.16412055466404324, 0.20838439824827318, 0.15381740080192685, 0.24897724561191895, 0.10176034913967817, 0.031897224413507896, 0.11113858842007765, 0.164845789371513, 0.2064671935623738, 0.06366004742842445, -0.16289853591572595, 0.10489496501710115, 0.07410351676564361] |
708.2177 | Likelihood based inference for monotone response models | The behavior of maximum likelihood estimates (MLEs) and the likelihood ratio
statistic in a family of problems involving pointwise nonparametric estimation
of a monotone function is studied. This class of problems differs radically
from the usual parametric or semiparametric situations in that the MLE of the
monotone function at a point converges to the truth at rate $n^{1/3}$ (slower
than the usual $\sqrt{n}$ rate) with a non-Gaussian limit distribution. A
framework for likelihood based estimation of monotone functions is developed
and limit theorems describing the behavior of the MLEs and the likelihood ratio
statistic are established. In particular, the likelihood ratio statistic is
found to be asymptotically pivotal with a limit distribution that is no longer
$\chi^2$ but can be explicitly characterized in terms of a functional of
Brownian motion. Applications of the main results are presented and potential
extensions discussed.
| math.ST stat.TH | the behavior of maximum likelihood estimates mles and the likelihood ratio statistic in a family of problems involving pointwise nonparametric estimation of a monotone function is studied this class of problems differs radically from the usual parametric or semiparametric situations in that the mle of the monotone function at a point converges to the truth at rate n13 slower than the usual sqrtn rate with a nongaussian limit distribution a framework for likelihood based estimation of monotone functions is developed and limit theorems describing the behavior of the mles and the likelihood ratio statistic are established in particular the likelihood ratio statistic is found to be asymptotically pivotal with a limit distribution that is no longer chi2 but can be explicitly characterized in terms of a functional of brownian motion applications of the main results are presented and potential extensions discussed | [['the', 'behavior', 'of', 'maximum', 'likelihood', 'estimates', 'mles', 'and', 'the', 'likelihood', 'ratio', 'statistic', 'in', 'a', 'family', 'of', 'problems', 'involving', 'pointwise', 'nonparametric', 'estimation', 'of', 'a', 'monotone', 'function', 'is', 'studied', 'this', 'class', 'of', 'problems', 'differs', 'radically', 'from', 'the', 'usual', 'parametric', 'or', 'semiparametric', 'situations', 'in', 'that', 'the', 'mle', 'of', 'the', 'monotone', 'function', 'at', 'a', 'point', 'converges', 'to', 'the', 'truth', 'at', 'rate', 'n13', 'slower', 'than', 'the', 'usual', 'sqrtn', 'rate', 'with', 'a', 'nongaussian', 'limit', 'distribution', 'a', 'framework', 'for', 'likelihood', 'based', 'estimation', 'of', 'monotone', 'functions', 'is', 'developed', 'and', 'limit', 'theorems', 'describing', 'the', 'behavior', 'of', 'the', 'mles', 'and', 'the', 'likelihood', 'ratio', 'statistic', 'are', 'established', 'in', 'particular', 'the', 'likelihood', 'ratio', 'statistic', 'is', 'found', 'to', 'be', 'asymptotically', 'pivotal', 'with', 'a', 'limit', 'distribution', 'that', 'is', 'no', 'longer', 'chi2', 'but', 'can', 'be', 'explicitly', 'characterized', 'in', 'terms', 'of', 'a', 'functional', 'of', 'brownian', 'motion', 'applications', 'of', 'the', 'main', 'results', 'are', 'presented', 'and', 'potential', 'extensions', 'discussed']] | [-0.08271153259474176, 0.05100679485761422, -0.10432721455152152, 0.12282230877499128, -0.018827762048532988, -0.1432009916389295, 0.05114121972880465, 0.3236206201770416, -0.2294757984287984, -0.27401980996158315, 0.11871847104287792, -0.26967898210021835, -0.13567435906057293, 0.20728703835774345, -0.09373431259449175, 0.11455293271875551, 0.03897973468381885, 0.03606716874001898, -0.10184539926233405, -0.24048534562441368, 0.27158904079255375, 0.05382321889393349, 0.327752737163282, -0.016792179983611225, 0.09219205100419568, 0.02313135838852733, -0.0019502430850415365, 0.04710349197836315, -0.16468399192145877, 0.10047045651185887, 0.22988771626739002, 0.15552523509592664, 0.31030793534261536, -0.29808375709657126, -0.1998346387309597, 0.18822759443378828, 0.15083152267021782, 0.045788885163579214, 0.0194521600757032, -0.22662549060340045, 0.05442129082462572, -0.1440809649227068, -0.15098773164910773, -0.034604370769060463, -0.012185399690543877, 0.0694953196629195, -0.3848586370640084, 0.16149906761917873, 0.07391591582625628, 0.036667529415340884, 0.020924446907832375, -0.1598268200029084, 0.004216530439542963, 0.03176527162386329, 0.11715077171234269, 0.009773132232750984, 0.13920912467577357, -0.13567469686315997, -0.07767869229304623, 0.31180215741966766, -0.08481061219698866, -0.24196238354746755, 0.13616866028061836, -0.156505339422283, -0.13488173187901895, 0.12762089453782913, 0.14599931251640755, 0.16515897532119184, -0.17922268234563213, 0.09511078600540546, -0.014522971935464557, 0.1444710160397961, 0.06450422897816022, 0.008581380937364057, 0.1755571065615889, 0.14491112576962734, 0.11549679961398984, 0.1597997185754332, -0.10182819899884944, -0.1337447204934235, -0.31267432169658493, -0.13264255669522793, -0.23085837830799294, 0.012539850997058212, -0.16803731158803423, -0.21858771085237147, 0.36980949768941873, 0.13114067376756394, 0.1733367115685201, 0.16782415695554503, 0.2535920146396978, 0.21185038654969227, 0.0016307405407494265, 0.07438301524570119, 0.23387129004410606, 0.15380610634922876, 0.025636891059986983, -0.15529631152055523, 0.14011627394732432, 0.06974410654364752] |
708.2178 | The S2N2 metallicity calibrator and the abundance gradient of M 33 | We introduce the log(Ha/[SII]6717+6731) vs. log(Ha/[NII]6583) (S2N2)
diagnostic diagram as metallicity and ionisation parameter indicator for HII
regions in external galaxies. The location of HII regions in the S2N2 diagram
was studied both empirically and theoretically. We found that, for a wide range
of metallicities, the S2N2 diagram gives single valued results in the
metallicity-ionisation parameter plane. We demonstrate that the S2N2 diagram is
a powerful tool to estimate metallicities of high-redshift (z ~ 2) HII
galaxies. Finally, we derive the metallicity for 76 HII regions in M33 from the
S2N2 diagram and calculate an O/H abundance gradient for this galaxy of -0.05
(+-0.01) dex kpc^-1.
| astro-ph | we introduce the loghasii67176731 vs loghanii6583 s2n2 diagnostic diagram as metallicity and ionisation parameter indicator for hii regions in external galaxies the location of hii regions in the s2n2 diagram was studied both empirically and theoretically we found that for a wide range of metallicities the s2n2 diagram gives single valued results in the metallicityionisation parameter plane we demonstrate that the s2n2 diagram is a powerful tool to estimate metallicities of highredshift z 2 hii galaxies finally we derive the metallicity for 76 hii regions in m33 from the s2n2 diagram and calculate an oh abundance gradient for this galaxy of 005 001 dex kpc1 | [['we', 'introduce', 'the', 'loghasii67176731', 'vs', 'loghanii6583', 's2n2', 'diagnostic', 'diagram', 'as', 'metallicity', 'and', 'ionisation', 'parameter', 'indicator', 'for', 'hii', 'regions', 'in', 'external', 'galaxies', 'the', 'location', 'of', 'hii', 'regions', 'in', 'the', 's2n2', 'diagram', 'was', 'studied', 'both', 'empirically', 'and', 'theoretically', 'we', 'found', 'that', 'for', 'a', 'wide', 'range', 'of', 'metallicities', 'the', 's2n2', 'diagram', 'gives', 'single', 'valued', 'results', 'in', 'the', 'metallicityionisation', 'parameter', 'plane', 'we', 'demonstrate', 'that', 'the', 's2n2', 'diagram', 'is', 'a', 'powerful', 'tool', 'to', 'estimate', 'metallicities', 'of', 'highredshift', 'z', '2', 'hii', 'galaxies', 'finally', 'we', 'derive', 'the', 'metallicity', 'for', '76', 'hii', 'regions', 'in', 'm33', 'from', 'the', 's2n2', 'diagram', 'and', 'calculate', 'an', 'oh', 'abundance', 'gradient', 'for', 'this', 'galaxy', 'of', '005', '001', 'dex', 'kpc1']] | [-0.03184242122897915, 0.06498393859139612, -0.06135579324601328, 0.12940098595915034, -0.052726029104544034, -0.034477931919836384, 0.13685718008006612, 0.47503823233658776, -0.10209117480781953, -0.3242193421568064, -0.04466977953344729, -0.2278262124552081, -0.03740355627914872, 0.21723102850556447, -0.0383331119379613, -0.08968191911744904, -0.03865699899182016, -0.12322041393695947, -0.060427133199375344, -0.26407383389510763, 0.27516120098823427, 0.0033655770159527368, 0.18857948696606008, -0.02528436069248938, 0.03368734008522462, -0.16462403153270191, -0.04252492437394811, -0.0011956610022952744, -0.3131563273345819, 0.00032378100406597643, 0.3001641281697826, 0.13854606281600745, 0.18861782766294247, -0.21890374884727257, -0.19861826601018215, 0.08164415977822215, 0.28387923741384463, 0.03242544683527347, -0.11905736300875158, -0.26469696866457953, 0.060937471733446796, -0.1887278718344283, -0.18574879760397414, 0.05401746509140175, 0.04484465437046453, 0.001666809678735102, -0.270530504658453, 0.17723541959718453, -0.07590924888648384, 0.18635639698043757, -0.10468593875274938, -0.12007079655806735, -0.09362815619747647, 0.09679801457598075, -0.07838456509132669, 0.1322957851602148, 0.1906607428054307, -0.15163825932369732, 0.040679314694202995, 0.38515705830764535, -0.07027346722373064, -0.013804970945962922, 0.19549357987867266, -0.23026197928451367, -0.18206160491350673, 0.07688571732290381, 0.11813265156439122, 0.1416538517520416, -0.15192332331949443, 0.07254082820316612, 0.003599404810480408, 0.2026553733237818, -0.0007228191540229554, 0.036215556007222156, 0.23196754465792693, 0.06319440713188812, 0.07669214204446796, 0.15004647162733784, -0.27642016910820033, -0.06046260522185441, -0.23063536338033339, -0.17031283560893773, -0.050610668586302254, 0.009071219402054945, -0.2609077975487476, -0.1775367421134576, 0.3402695849802637, 0.14044423185416735, 0.24823259260030647, 0.026971269513060357, 0.2981703518798538, 0.09018579413817611, 0.049173999578902026, 0.08667015138210035, 0.2946997066713212, 0.21100567082769475, 0.047331252427516034, -0.23615961519353018, 0.12879808001932413, 0.07865632168364291] |
708.2179 | A simple proof of the matrix-valued Fej\'er-Riesz theorem | A very short proof of the Fej\'er-Riesz lemma is presented in the matrix case
| math.CV | a very short proof of the fejerriesz lemma is presented in the matrix case | [['a', 'very', 'short', 'proof', 'of', 'the', 'fejerriesz', 'lemma', 'is', 'presented', 'in', 'the', 'matrix', 'case']] | [-0.17919405536460026, 0.0296793133020401, -0.15715387942535536, 0.12971899556162367, -0.04444682318717241, -0.16066799176457738, 0.027563190885952542, 0.27865388869707075, -0.24834020648683822, -0.18717826583555766, 0.17288731879255334, -0.20674044949867362, -0.16746557650289365, 0.25479572798524586, -0.1290149730630219, -0.041140327496188026, 0.14626810626525963, 0.028496024597968374, -0.049983953192297904, -0.23612153290637902, 0.22709661828620092, 0.025824612006545067, 0.20557063817977905, 0.1705432893442256, 0.08147626273733165, 0.11982678575441241, -0.09849765078563776, -0.10131248751921314, -0.06427413591050676, 0.12670164018137647, 0.31292945944837164, 0.07636458932289056, 0.28138343590710846, -0.3503729702372636, -0.054734462672578435, 0.0770958491734096, 0.059237579482474496, 0.17573790065944195, -0.08407843352428504, -0.2382942308904603, 0.12624116434848734, -0.14888405360813653, -0.18958162050694227, 0.026866962451354733, 0.06848794048918146, 0.004870194875236068, -0.2582892988409315, 0.08687867330653327, 0.22325925941445998, 0.03916720846401794, 0.05709681606718472, -0.13493185596806662, 0.10120697572295155, 0.0018303425250841038, 0.054854207256409736, 0.022764342238328288, 0.046836437723998516, -0.06701095309108496, -0.024240032769739628, 0.3578898422420025, -0.0698148887604475, -0.2147666990224804, 0.16046848307762826, -0.09751661527635795, -0.1703093685209751, 0.08015580262456622, 0.07614124725971903, 0.21261427977255412, -0.1315719299018383, 0.13965722040406295, -0.1368512279753174, 0.18408464227936097, 0.10397456659536276, 0.030062800273299217, 0.03942622936197689, 0.187693252502608, 0.0872549100978566, 0.1756693579788719, 0.002522487991622516, -0.07982654576855046, -0.37132916493075235, -0.14486641862562724, -0.302209956970598, 0.08826025874753084, -0.12747181007372482, -0.19047825544008187, 0.407814620328801, 0.027836080906646594, 0.17967380714669293, 0.12600404343434743, 0.2252723053097725, 0.1175167862591999, 0.04674820385740271, 0.00161031457329435, 0.19384542080972875, 0.3220416493713856, 0.16382331906684808, -0.05376245096392397, 0.05602334329991469, 0.24430316520322645] |
708.218 | A nonparametric approach to the estimation of lengths and surface areas | The Minkowski content $L_0(G)$ of a body $G\subset{\mathbb{R}}^d$ represents
the boundary length (for $d=2$) or the surface area (for $d=3$) of $G$. A
method for estimating $L_0(G)$ is proposed. It relies on a nonparametric
estimator based on the information provided by a random sample (taken on a
rectangle containing $G$) in which we are able to identify whether every point
is inside or outside $G$. Some theoretical properties concerning strong
consistency, $L_1$-error and convergence rates are obtained. A practical
application to a problem of image analysis in cardiology is discussed in some
detail. A brief simulation study is provided.
| math.ST stat.TH | the minkowski content l_0g of a body gsubsetmathbbrd represents the boundary length for d2 or the surface area for d3 of g a method for estimating l_0g is proposed it relies on a nonparametric estimator based on the information provided by a random sample taken on a rectangle containing g in which we are able to identify whether every point is inside or outside g some theoretical properties concerning strong consistency l_1error and convergence rates are obtained a practical application to a problem of image analysis in cardiology is discussed in some detail a brief simulation study is provided | [['the', 'minkowski', 'content', 'l_0g', 'of', 'a', 'body', 'gsubsetmathbbrd', 'represents', 'the', 'boundary', 'length', 'for', 'd2', 'or', 'the', 'surface', 'area', 'for', 'd3', 'of', 'g', 'a', 'method', 'for', 'estimating', 'l_0g', 'is', 'proposed', 'it', 'relies', 'on', 'a', 'nonparametric', 'estimator', 'based', 'on', 'the', 'information', 'provided', 'by', 'a', 'random', 'sample', 'taken', 'on', 'a', 'rectangle', 'containing', 'g', 'in', 'which', 'we', 'are', 'able', 'to', 'identify', 'whether', 'every', 'point', 'is', 'inside', 'or', 'outside', 'g', 'some', 'theoretical', 'properties', 'concerning', 'strong', 'consistency', 'l_1error', 'and', 'convergence', 'rates', 'are', 'obtained', 'a', 'practical', 'application', 'to', 'a', 'problem', 'of', 'image', 'analysis', 'in', 'cardiology', 'is', 'discussed', 'in', 'some', 'detail', 'a', 'brief', 'simulation', 'study', 'is', 'provided']] | [-0.11604856969598605, 0.022047889133801266, -0.09611073245617505, 0.06270918146379253, -0.06899448411244595, -0.12868398470728068, 0.05366449575034939, 0.38359010580699054, -0.1875224025748974, -0.2497858201267616, 0.175209946413667, -0.2920546718511958, -0.12778497598019942, 0.22731357883680992, -0.11097867597768805, 0.040023953957977344, 0.05938056210051196, 0.09397747041182403, -0.0460539982578128, -0.24681646039243788, 0.2880127852050854, 0.00745157731164779, 0.26027899417950184, 0.06440811919295514, 0.09393263182944941, 0.02257110010737515, -0.04804185964167118, 0.06522178978716232, -0.16429900583497495, 0.11494163558129411, 0.21573481884575924, 0.14453789642631856, 0.3027425951191357, -0.35854419140311194, -0.21909397107796097, 0.07689412613874491, 0.10388328986746088, 0.06859739358437114, -0.09918626428615036, -0.26527622804207235, 0.1128936164480235, -0.08304141088132272, -0.12682768979052805, -0.03144387402856837, 0.051778880342346977, -0.007947555593481022, -0.30107603084334, 0.04618201893279139, 0.05942802656708019, 0.07836745729745954, -0.031823081686636626, -0.11529324120100663, -0.0004502571026357461, 0.10822058790268338, 0.023415134078110283, 0.0513147494948127, 0.10715875163025755, -0.10454141071579438, -0.05841129022289296, 0.38395072530232827, -0.04196408282423734, -0.23046905165348125, 0.16682490379174184, -0.12986101180657136, -0.14503007402111376, 0.1094883209312981, 0.15968632686179968, 0.12795210135768034, -0.1427677149411614, 0.1145637552105413, -0.07268428465479757, 0.14328188815704138, 0.04516885407763172, -0.005063026271551392, 0.18733059321482648, 0.20486776992840197, 0.07805953303123919, 0.16936619083720203, -0.09105615960481596, -0.039347153484859336, -0.3446839952185674, -0.1390097258726553, -0.22005881821470602, 0.03950768456276392, -0.09216129659109022, -0.17639829411304422, 0.3712587170635483, 0.13891887301769185, 0.1955794532146609, 0.03578981541558074, 0.27721670133118725, 0.06193300011586778, 0.014135524767156387, 0.0916678132109192, 0.17022896844392396, 0.15113035361971516, 0.01622560508406664, -0.16488468569076184, 0.05678889201716425, 0.11583651955553083] |
708.2181 | The Phase Structure of Higher-Dimensional Black Rings and Black Holes | We construct an approximate solution for an asymptotically flat, neutral,
thin rotating black ring in any dimension D>=5 by matching the near-horizon
solution for a bent boosted black string, to a linearized gravity solution away
from the horizon. The rotating black ring solution has a regular horizon of
topology S^1 x S^{D-3} and incorporates the balancing condition of the ring as
a zero-tension condition. For D=5 our method reproduces the thin ring limit of
the exact black ring solution. For D>=6 we show that the black ring has a
higher entropy than the Myers-Perry black hole in the ultra-spinning regime. By
exploiting the correspondence between ultra-spinning black holes and black
membranes on a two-torus, we take steps towards qualitatively completing the
phase diagram of rotating blackfolds with a single angular momentum. We are led
to propose a connection between MP black holes and black rings, and between MP
black holes and black Saturns, through merger transitions involving two kinds
of `pinched' black holes. More generally, the analogy suggests an infinite
number of pinched black holes of spherical topology leading to a complicated
pattern of connections and mergers between phases.
| hep-th | we construct an approximate solution for an asymptotically flat neutral thin rotating black ring in any dimension d5 by matching the nearhorizon solution for a bent boosted black string to a linearized gravity solution away from the horizon the rotating black ring solution has a regular horizon of topology s1 x sd3 and incorporates the balancing condition of the ring as a zerotension condition for d5 our method reproduces the thin ring limit of the exact black ring solution for d6 we show that the black ring has a higher entropy than the myersperry black hole in the ultraspinning regime by exploiting the correspondence between ultraspinning black holes and black membranes on a twotorus we take steps towards qualitatively completing the phase diagram of rotating blackfolds with a single angular momentum we are led to propose a connection between mp black holes and black rings and between mp black holes and black saturns through merger transitions involving two kinds of pinched black holes more generally the analogy suggests an infinite number of pinched black holes of spherical topology leading to a complicated pattern of connections and mergers between phases | [['we', 'construct', 'an', 'approximate', 'solution', 'for', 'an', 'asymptotically', 'flat', 'neutral', 'thin', 'rotating', 'black', 'ring', 'in', 'any', 'dimension', 'd5', 'by', 'matching', 'the', 'nearhorizon', 'solution', 'for', 'a', 'bent', 'boosted', 'black', 'string', 'to', 'a', 'linearized', 'gravity', 'solution', 'away', 'from', 'the', 'horizon', 'the', 'rotating', 'black', 'ring', 'solution', 'has', 'a', 'regular', 'horizon', 'of', 'topology', 's1', 'x', 'sd3', 'and', 'incorporates', 'the', 'balancing', 'condition', 'of', 'the', 'ring', 'as', 'a', 'zerotension', 'condition', 'for', 'd5', 'our', 'method', 'reproduces', 'the', 'thin', 'ring', 'limit', 'of', 'the', 'exact', 'black', 'ring', 'solution', 'for', 'd6', 'we', 'show', 'that', 'the', 'black', 'ring', 'has', 'a', 'higher', 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708.2182 | Local rigidity in quaternionic hyperbolic space | In this note, we study deformations of quaternionic hyperbolic lattices in
larger quaternionic hyperbolic spaces and prove local rigidity results. On the
other hand, surface groups are shown to be more flexible in quaternionic
hyperbolic plane than in complex hyperbolic plane.
| math.DG | in this note we study deformations of quaternionic hyperbolic lattices in larger quaternionic hyperbolic spaces and prove local rigidity results on the other hand surface groups are shown to be more flexible in quaternionic hyperbolic plane than in complex hyperbolic plane | [['in', 'this', 'note', 'we', 'study', 'deformations', 'of', 'quaternionic', 'hyperbolic', 'lattices', 'in', 'larger', 'quaternionic', 'hyperbolic', 'spaces', 'and', 'prove', 'local', 'rigidity', 'results', 'on', 'the', 'other', 'hand', 'surface', 'groups', 'are', 'shown', 'to', 'be', 'more', 'flexible', 'in', 'quaternionic', 'hyperbolic', 'plane', 'than', 'in', 'complex', 'hyperbolic', 'plane']] | [-0.18257711199112236, 0.13466673361410092, -0.07187143567858673, 0.14228928555654952, -0.15787059495725284, -0.13633951503874325, -0.08878321548151534, 0.4271527021759894, -0.25151218707877687, -0.14516692740342965, 0.09979525403823794, -0.27642752411888866, -0.2671983875107111, 0.3117986017974412, -0.16268549427935264, 0.0015091187570516655, 0.01812955452038384, 0.0350400264397627, -0.1741978196290935, -0.2652725004931776, 0.3900398012341523, -0.09573719873115784, 0.24133899474016776, 0.040612493618959335, 0.003974761405005687, 0.037330736428862664, -0.03959771709107771, 0.03348159901343468, -0.16405042560725677, 0.17370679156809318, 0.3020509778715034, -0.08196434046414386, 0.14291895105980518, -0.42235732187585134, -0.24546015042266467, 0.18573014104239097, 0.14300729199199053, 0.006561727944488932, -0.032283725249992755, -0.3157058946970033, 0.04924358545643527, -0.045094770470225226, -0.25675214368213967, -0.06477394559216208, 0.03521662014650136, 0.020284435637976703, -0.09833773225545883, 0.06576412945713211, 0.13666106590137975, 0.13571005335032213, -0.07036970586447817, -0.05645963045336851, -0.08650388975241562, 0.048594612832658174, -0.020915358986069516, 0.022827348881969002, 0.10327704987920276, 0.011454529725242316, -0.057781164102801465, 0.42710131370439763, -0.005362009398551181, -0.3606900811797326, 0.15855326394482358, -0.2824273167586908, -0.23251769676940834, 0.1551273304787351, 0.2702402791303651, 0.1692870052576792, -0.044700117827188676, 0.15044240651101373, -0.12279200628854153, 0.11218744096141763, 0.14996849203754853, -0.018970564303056495, 0.0729394198917761, 0.11524426084148084, 0.20169870096554116, 0.14480795268758723, 0.07438526589355272, -0.12323117983476373, -0.23471872172341113, -0.25150596018789745, -0.11718069015229803, 0.12271235524336012, -0.12495461055155696, -0.19812299175650766, 0.3529237023123154, -0.0009523735086365444, 0.14788540016587187, 0.10819141659885645, 0.20263729035490896, -0.01517528662935081, 0.058597405054947226, 0.06175693460149554, 0.22856543422108744, 0.18039269786237216, -0.003950280466730275, -0.06523933446193796, -0.12313775110580935, 0.15051880710553833] |
708.2183 | Nuclear condensation and the equation of state of nuclear matter | The isothermal compression of a dilute nucleonic gas invoking cluster degrees
of freedom is studied in an equilibrium statistical model; this clusterized
system is found to be more stable than the pure nucleonic system. The equation
of state (EoS) of this matter shows features qualitatively very similar to the
one obtained from pure nucleonic gas. In the isothermal compression process,
there is a sudden enhancement of clusterization at a transition density
rendering features analogous to the gas-liquid phase transition in normal
dilute nucleonic matter. Different observables like the caloric curves, heat
capacity, isospin distillation, etc. are studied in both the models. Possible
changes in the observables due to recently indicated medium modifications in
the symmetry energy are also investigated.
| nucl-th | the isothermal compression of a dilute nucleonic gas invoking cluster degrees of freedom is studied in an equilibrium statistical model this clusterized system is found to be more stable than the pure nucleonic system the equation of state eos of this matter shows features qualitatively very similar to the one obtained from pure nucleonic gas in the isothermal compression process there is a sudden enhancement of clusterization at a transition density rendering features analogous to the gasliquid phase transition in normal dilute nucleonic matter different observables like the caloric curves heat capacity isospin distillation etc are studied in both the models possible changes in the observables due to recently indicated medium modifications in the symmetry energy are also investigated | [['the', 'isothermal', 'compression', 'of', 'a', 'dilute', 'nucleonic', 'gas', 'invoking', 'cluster', 'degrees', 'of', 'freedom', 'is', 'studied', 'in', 'an', 'equilibrium', 'statistical', 'model', 'this', 'clusterized', 'system', 'is', 'found', 'to', 'be', 'more', 'stable', 'than', 'the', 'pure', 'nucleonic', 'system', 'the', 'equation', 'of', 'state', 'eos', 'of', 'this', 'matter', 'shows', 'features', 'qualitatively', 'very', 'similar', 'to', 'the', 'one', 'obtained', 'from', 'pure', 'nucleonic', 'gas', 'in', 'the', 'isothermal', 'compression', 'process', 'there', 'is', 'a', 'sudden', 'enhancement', 'of', 'clusterization', 'at', 'a', 'transition', 'density', 'rendering', 'features', 'analogous', 'to', 'the', 'gasliquid', 'phase', 'transition', 'in', 'normal', 'dilute', 'nucleonic', 'matter', 'different', 'observables', 'like', 'the', 'caloric', 'curves', 'heat', 'capacity', 'isospin', 'distillation', 'etc', 'are', 'studied', 'in', 'both', 'the', 'models', 'possible', 'changes', 'in', 'the', 'observables', 'due', 'to', 'recently', 'indicated', 'medium', 'modifications', 'in', 'the', 'symmetry', 'energy', 'are', 'also', 'investigated']] | [-0.11377766175868631, 0.20632505772682788, -0.15390206399929374, 0.0931143116000278, 0.009888682483124132, -0.12365074844115234, 0.029531873300859407, 0.3095992509933079, -0.25178805298070195, -0.2805748410080755, 0.01742922332129997, -0.29730578392994506, -0.04712829452610629, 0.12132095866210509, 0.02424131611659497, 0.06713354816863767, -0.004566709990339244, 0.05934436471757142, -0.133856951236087, -0.19239604341241867, 0.32296917784348633, 0.04516172395753009, 0.28966018499634344, 0.050418274034941646, 0.0388879740978552, -0.0733880599933293, 0.02944547636825748, 0.011924128447260176, -0.13864322475885518, -0.00842530756229838, 0.24529930834694275, 0.02872833061744185, 0.13083617938604175, -0.4129229382017017, -0.3021133377866334, 0.13737593516472632, 0.11248605695216596, 0.1519418218869622, -0.05308417287058913, -0.25442968557604406, -0.00597850453845194, -0.2175690092678581, -0.16958906624403572, -0.1173640100614113, 0.0064010569285757905, -0.0009343037127415423, -0.21657684741995664, 0.16807799912111623, 0.057033665746278245, 0.03874208038563237, -0.0795228694606682, -0.15921018504490683, -0.04650446974247804, 0.003916660582004976, 0.041590613243316824, 0.019721636585812986, 0.21391524248262436, -0.21738080339146262, -0.009252590021635053, 0.44105503792647555, -0.05484955828549329, -0.12330238436575697, 0.21455291220370462, -0.14705942698584148, -0.14903568931143074, 0.2027082992404574, 0.12211546896635986, 0.09539595824478492, -0.16721669233897152, 0.02321392547010499, -0.013077905285172164, 0.17546100910565182, 0.06370787799921858, 0.010277638454459795, 0.21661840510718963, 0.18660843312082923, -0.013111889471902567, 0.16505691729204244, -0.05883422283408772, -0.1835565180209575, -0.23461724546182305, -0.13003880248851135, -0.16447131700242454, 0.023123243915605822, -0.09275315624873053, -0.13403345707475262, 0.3311884161945777, 0.09344865550666641, 0.1785249156337388, -0.06298721531609527, 0.3044224067927659, 0.10409535773043685, 0.020858065029527962, 0.10316487546313648, 0.30016930428717065, 0.1953801919682687, 0.1218306669562335, -0.2672165387971405, 0.09204556856367017, 0.004411096733548686] |
708.2184 | Monte Carlo likelihood inference for missing data models | We describe a Monte Carlo method to approximate the maximum likelihood
estimate (MLE), when there are missing data and the observed data likelihood is
not available in closed form. This method uses simulated missing data that are
independent and identically distributed and independent of the observed data.
Our Monte Carlo approximation to the MLE is a consistent and asymptotically
normal estimate of the minimizer $\theta^*$ of the Kullback--Leibler
information, as both Monte Carlo and observed data sample sizes go to infinity
simultaneously. Plug-in estimates of the asymptotic variance are provided for
constructing confidence regions for $\theta^*$. We give Logit--Normal
generalized linear mixed model examples, calculated using an R package.
| math.ST stat.TH | we describe a monte carlo method to approximate the maximum likelihood estimate mle when there are missing data and the observed data likelihood is not available in closed form this method uses simulated missing data that are independent and identically distributed and independent of the observed data our monte carlo approximation to the mle is a consistent and asymptotically normal estimate of the minimizer theta of the kullbackleibler information as both monte carlo and observed data sample sizes go to infinity simultaneously plugin estimates of the asymptotic variance are provided for constructing confidence regions for theta we give logitnormal generalized linear mixed model examples calculated using an r package | [['we', 'describe', 'a', 'monte', 'carlo', 'method', 'to', 'approximate', 'the', 'maximum', 'likelihood', 'estimate', 'mle', 'when', 'there', 'are', 'missing', 'data', 'and', 'the', 'observed', 'data', 'likelihood', 'is', 'not', 'available', 'in', 'closed', 'form', 'this', 'method', 'uses', 'simulated', 'missing', 'data', 'that', 'are', 'independent', 'and', 'identically', 'distributed', 'and', 'independent', 'of', 'the', 'observed', 'data', 'our', 'monte', 'carlo', 'approximation', 'to', 'the', 'mle', 'is', 'a', 'consistent', 'and', 'asymptotically', 'normal', 'estimate', 'of', 'the', 'minimizer', 'theta', 'of', 'the', 'kullbackleibler', 'information', 'as', 'both', 'monte', 'carlo', 'and', 'observed', 'data', 'sample', 'sizes', 'go', 'to', 'infinity', 'simultaneously', 'plugin', 'estimates', 'of', 'the', 'asymptotic', 'variance', 'are', 'provided', 'for', 'constructing', 'confidence', 'regions', 'for', 'theta', 'we', 'give', 'logitnormal', 'generalized', 'linear', 'mixed', 'model', 'examples', 'calculated', 'using', 'an', 'r', 'package']] | [-0.0565944224751244, 0.05141803972906524, -0.11126187115614475, 0.1715799827501609, -0.061402144115331965, -0.16369479322047145, 0.055907681958396335, 0.3974224567171876, -0.25586792543806414, -0.336527688825434, 0.1360412841884816, -0.3288813222596353, -0.05359059444917538, 0.18737399253640669, -0.02834888210485655, 0.09831243763350088, 0.09820706101729432, 0.0009939464636974865, -0.08378085355420976, -0.2657520188605068, 0.22284792136094808, 0.08871873798758585, 0.28704154137866916, -0.06522746719161256, 0.13188020657280167, 0.033011189010856604, -0.057619811790236446, 0.011621118221362983, -0.20345494999040697, 0.1057883669078971, 0.27526874450268224, 0.1823430256022052, 0.2451150639551795, -0.3646661750279034, -0.15351317098140027, 0.15590279879634855, 0.16675453083654349, 0.07446432874227564, -0.044268870571007334, -0.2427340055194994, 0.07629412372113654, -0.14621589453545986, -0.1359418219955707, -0.12217892649911206, -0.07000406713362921, 0.033167736829017046, -0.3843656786657111, 0.12312667083892005, -0.011387705207905836, 0.06292965584348335, -0.0074040364146370575, -0.19169407551332066, -0.03842994223426407, 0.07556126260169549, 0.08669876159789662, 0.03011286907497345, 0.07926398401953823, -0.032016765556936326, -0.0750938509935858, 0.23315833862525998, -0.057289450836833566, -0.22583929983967985, 0.11334204602193225, -0.1322695560304931, -0.13075575967862582, 0.14069429312453227, 0.1762868606666517, 0.15666653783302065, -0.20944540966498876, 0.0969644989705153, -0.034299991212147114, 0.11807176191144174, -0.04489165573613718, -0.07293367017215739, 0.12787314193944135, 0.12585810867905686, 0.02733923623735016, 0.1458094451313459, -0.16584958812152897, -0.13627768864346393, -0.34514438954216464, -0.12659814992177956, -0.2910558890650497, -0.006933447044570197, -0.1827947005441712, -0.23372405638090438, 0.3081259533689633, 0.22365905701493224, 0.1894775699539524, 0.1459270827752469, 0.31337101447947874, 0.11172365787960761, 0.020502621420072736, 0.1442016843335565, 0.17665554972417238, 0.13343837064759875, -0.015254843643762998, -0.17263547883851937, 0.11805850591648508, 0.012682783977921915] |
708.2185 | On combinatorial model categories | Combinatorial model categories were introduced by J. H. Smith as model
categories which are locally presentable and cofibrantly generated. He has not
published his results yet but proofs of some of them were presented by T. Beke
or D. Dugger. We are contributing to this endeavour by proving that weak
equivalences in a combinatorial model category form an accessible category. We
also present some new results about weak equivalences and cofibrations in
combinatorial model categories.
| math.CT | combinatorial model categories were introduced by j h smith as model categories which are locally presentable and cofibrantly generated he has not published his results yet but proofs of some of them were presented by t beke or d dugger we are contributing to this endeavour by proving that weak equivalences in a combinatorial model category form an accessible category we also present some new results about weak equivalences and cofibrations in combinatorial model categories | [['combinatorial', 'model', 'categories', 'were', 'introduced', 'by', 'j', 'h', 'smith', 'as', 'model', 'categories', 'which', 'are', 'locally', 'presentable', 'and', 'cofibrantly', 'generated', 'he', 'has', 'not', 'published', 'his', 'results', 'yet', 'but', 'proofs', 'of', 'some', 'of', 'them', 'were', 'presented', 'by', 't', 'beke', 'or', 'd', 'dugger', 'we', 'are', 'contributing', 'to', 'this', 'endeavour', 'by', 'proving', 'that', 'weak', 'equivalences', 'in', 'a', 'combinatorial', 'model', 'category', 'form', 'an', 'accessible', 'category', 'we', 'also', 'present', 'some', 'new', 'results', 'about', 'weak', 'equivalences', 'and', 'cofibrations', 'in', 'combinatorial', 'model', 'categories']] | [-0.0777004279087713, 0.05543019068352658, -0.0632461086985328, 0.13934828607189292, -0.13459485401776997, -0.22707345145376953, 0.022918177727685386, 0.4178827560028514, -0.34377642776313666, -0.30864135316900304, 0.07144815912407294, -0.20964178420301224, -0.12560277299741535, 0.17070798289874015, -0.17143717580600767, -0.0656042123918195, 0.0860817989403684, 0.025394268157715734, 0.03768571436503899, -0.3194879727891168, 0.4065550477873232, 0.020853203809442552, 0.18990274514834635, 0.05309267652321707, 0.03658561670296901, -0.041875933816127885, -0.08859607972506736, 0.05687465738958201, -0.19157535790489763, 0.1422375285544911, 0.298540379751373, 0.12451328529749771, 0.20591179285563427, -0.37754552313000767, -0.09395314664957491, 0.11061176243615714, 0.08408705346487663, 0.10007967368064045, -0.0303023226269697, -0.367798792072446, 0.10545959711905468, -0.22387607964510853, -0.02940634806873277, -0.1323157383909298, 0.09592759932668225, 0.018844460325970036, -0.21849229984690208, -0.04050923486883639, 0.14564859321517115, 0.11849557522785019, -0.06354151441199654, -0.12851863871706096, -0.0409186228077758, 0.0872808878618368, -0.00024298952917593556, 2.2432943050925797e-05, 0.08448771031799952, -0.13054813621125208, -0.14616437552094058, 0.32743482818713765, -0.038062201699594386, -0.16991080521335322, 0.22112156589817558, -0.10046316623511548, -0.1927531186658008, 0.13474363283682111, -0.0019421220152966074, 0.13859972750415672, -0.16322390297490702, 0.1644579123098378, -0.19287720306247874, 0.07153621039076431, 0.10053457680938614, -0.007059566519298666, 0.13312251162337693, 0.07599360110691271, -0.031422423739993086, 0.12312183508372589, 0.04548405321917459, -0.03130836862240087, -0.3310021384291955, -0.12293099750437446, -0.05814857014165436, 0.10539200763879628, -0.01613101283225193, -0.1250337696432866, 0.354652631194079, 0.13137084733996843, 0.17561329138855375, 0.1100456653354765, 0.20205446711829486, 0.011031727443411443, 0.04410601548246435, 0.04967536022131507, 0.19502012969413143, 0.20869362248875503, 0.052994489078284114, 0.015987824434666214, 0.09001092411376335, 0.22276296204182547] |
708.2186 | Monodromy of a Class of Logarithmic Connections on an Elliptic Curve | The logarithmic connections studied in the paper are direct images of regular
connections on line bundles over genus-2 double covers of the elliptic curve.
We give an explicit parametrization of all such connections, determine their
monodromy, differential Galois group and the underlying rank-2 vector bundle.
The latter is described in terms of elementary transforms. The question of its
(semi)-stability is addressed.
| math.AG math-ph math.MP | the logarithmic connections studied in the paper are direct images of regular connections on line bundles over genus2 double covers of the elliptic curve we give an explicit parametrization of all such connections determine their monodromy differential galois group and the underlying rank2 vector bundle the latter is described in terms of elementary transforms the question of its semistability is addressed | [['the', 'logarithmic', 'connections', 'studied', 'in', 'the', 'paper', 'are', 'direct', 'images', 'of', 'regular', 'connections', 'on', 'line', 'bundles', 'over', 'genus2', 'double', 'covers', 'of', 'the', 'elliptic', 'curve', 'we', 'give', 'an', 'explicit', 'parametrization', 'of', 'all', 'such', 'connections', 'determine', 'their', 'monodromy', 'differential', 'galois', 'group', 'and', 'the', 'underlying', 'rank2', 'vector', 'bundle', 'the', 'latter', 'is', 'described', 'in', 'terms', 'of', 'elementary', 'transforms', 'the', 'question', 'of', 'its', 'semistability', 'is', 'addressed']] | [-0.2501605584851054, 0.03290004714236587, -0.07894063330270716, 0.11141097839143066, -0.1362047787893136, -0.12624804088540498, -0.026570812947418327, 0.3690038524934503, -0.3320347602005865, -0.22668668771254236, 0.10028963715036507, -0.2544631309822568, -0.18911829098894978, 0.21045516558052574, -0.1314207086049509, 0.014081963428609134, 0.004383241544004346, 0.13983132339036855, -0.1288263692108334, -0.31904619987328825, 0.4192862543048429, -0.023398889045490593, 0.22884153997998868, 0.05821467932186292, 0.12518729016062666, 0.06298179278669298, -0.1237871120531173, -0.06818518338755505, -0.147036831116029, 0.15676102519310156, 0.29923814168718993, 0.06146740503456505, 0.1314498952696802, -0.3830462630654945, -0.15975293661391393, 0.18694709705524756, 0.13969771857144403, -0.025980069351642102, -0.0056690820664564365, -0.2296444017088926, 0.0611925852927761, -0.12341103009635308, -0.17112340769428974, -0.09270501730307082, 0.03629169073604719, 0.040031806336807425, -0.1451189909970052, -0.009330439075949739, 0.0887165147750104, 0.14568819890378928, -0.06870366550302591, -0.08922646765704037, -0.05527249610692751, 0.08706498696453503, 0.017952918853671826, -0.007637136890629276, 0.10493767498916046, -0.1595639874853316, -0.10811857451669506, 0.3559670400668363, -0.05356379618990372, -0.2154478952746655, 0.07282083571628957, -0.08394683557409854, -0.10622938730769226, 0.16982129771934182, 0.11843550338058687, 0.15846897798330814, -0.03276227519954326, 0.17929333684592388, -0.14776625618582867, 0.0672742994349511, 0.08203673519224661, -0.01626491597013884, 0.13742850214762034, 0.08233536995153447, 0.03591366196967295, 0.09991618636690203, -0.009758654290993438, -0.13507826678973975, -0.40140186815110385, -0.22253294512018806, -0.0693544366675597, 0.09236740863683526, -0.09590502537249733, -0.1800291214298579, 0.48115918183790857, -0.016754410031144737, 0.2560653368041652, 0.09458891693197313, 0.21438249225010636, 0.10269363247407753, 0.04271760359635485, -0.01668876219449229, 0.220746991186418, 0.2747809685552951, -0.0005715567118595125, -0.16095734740317355, -0.0066538188667570955, 0.16428524585532361] |
708.2187 | Stochastic Variational Integrators | This paper presents a continuous and discrete Lagrangian theory for
stochastic Hamiltonian systems on manifolds. The main result is to derive
stochastic governing equations for such systems from a critical point of a
stochastic action. Using this result the paper derives Langevin-type equations
for constrained mechanical systems and implements a stochastic analog of
Lagrangian reduction. These are easy consequences of the fact that the
stochastic action is intrinsically defined. Stochastic variational integrators
(SVIs) are developed using a discretized stochastic variational principle. The
paper shows that the discrete flow of an SVI is a.s. symplectic and in the
presence of symmetry a.s. momentum-map preserving. A first-order mean-square
convergent SVI for mechanical systems on Lie groups is introduced. As an
application of the theory, SVIs are exhibited for multiple, randomly forced and
torqued rigid-bodies interacting via a potential.
| math.PR | this paper presents a continuous and discrete lagrangian theory for stochastic hamiltonian systems on manifolds the main result is to derive stochastic governing equations for such systems from a critical point of a stochastic action using this result the paper derives langevintype equations for constrained mechanical systems and implements a stochastic analog of lagrangian reduction these are easy consequences of the fact that the stochastic action is intrinsically defined stochastic variational integrators svis are developed using a discretized stochastic variational principle the paper shows that the discrete flow of an svi is as symplectic and in the presence of symmetry as momentummap preserving a firstorder meansquare convergent svi for mechanical systems on lie groups is introduced as an application of the theory svis are exhibited for multiple randomly forced and torqued rigidbodies interacting via a potential | [['this', 'paper', 'presents', 'a', 'continuous', 'and', 'discrete', 'lagrangian', 'theory', 'for', 'stochastic', 'hamiltonian', 'systems', 'on', 'manifolds', 'the', 'main', 'result', 'is', 'to', 'derive', 'stochastic', 'governing', 'equations', 'for', 'such', 'systems', 'from', 'a', 'critical', 'point', 'of', 'a', 'stochastic', 'action', 'using', 'this', 'result', 'the', 'paper', 'derives', 'langevintype', 'equations', 'for', 'constrained', 'mechanical', 'systems', 'and', 'implements', 'a', 'stochastic', 'analog', 'of', 'lagrangian', 'reduction', 'these', 'are', 'easy', 'consequences', 'of', 'the', 'fact', 'that', 'the', 'stochastic', 'action', 'is', 'intrinsically', 'defined', 'stochastic', 'variational', 'integrators', 'svis', 'are', 'developed', 'using', 'a', 'discretized', 'stochastic', 'variational', 'principle', 'the', 'paper', 'shows', 'that', 'the', 'discrete', 'flow', 'of', 'an', 'svi', 'is', 'as', 'symplectic', 'and', 'in', 'the', 'presence', 'of', 'symmetry', 'as', 'momentummap', 'preserving', 'a', 'firstorder', 'meansquare', 'convergent', 'svi', 'for', 'mechanical', 'systems', 'on', 'lie', 'groups', 'is', 'introduced', 'as', 'an', 'application', 'of', 'the', 'theory', 'svis', 'are', 'exhibited', 'for', 'multiple', 'randomly', 'forced', 'and', 'torqued', 'rigidbodies', 'interacting', 'via', 'a', 'potential']] | [-0.1627021589900242, 0.06769751764702743, -0.10307312799520346, 0.0514050487571382, -0.07214144692380926, -0.1175120085887889, -0.0129646738322622, 0.30718944282722727, -0.32714097582519663, -0.2565817553550005, 0.11533627240942902, -0.2266382446178972, -0.22235863934854852, 0.21080527914889546, -0.09886316035842913, 0.08004523301149594, 0.047783991186393066, 0.018020193773641516, -0.07891331348609902, -0.16997961798046868, 0.3342393303929425, 0.008334949883674062, 0.22395676453667346, -0.020914595487263443, 0.21074505789038628, 0.016469380453423554, 0.0011504894624631019, 0.049608400888191954, -0.0739099108028693, 0.14034641879513415, 0.22460869072463863, 0.06682365740051688, 0.29094268971664916, -0.4279192753914577, -0.238690950337853, 0.08263324822799595, 0.14043882096715363, 0.14387508753840048, -0.05500033074110718, -0.28828939750317983, 0.07189537480529119, -0.16588806096853606, -0.15611817535193664, -0.11826603020082659, -0.03359446011539271, 0.07470175279165382, -0.28042041328031947, 0.09690859832856526, 0.10351575865000208, 0.09321628945337525, -0.07710563890816671, -0.06411596968658824, -0.020625505076874214, 0.06278155500819879, 0.02840258480647384, 0.0172406375588877, 0.13099575862236348, -0.05467736114984128, -0.12722399030593154, 0.419847404271531, -0.07429506015484291, -0.2666467767540685, 0.18841164234553032, -0.0059071552884111655, -0.1947296415942151, 0.12126866239470555, 0.19454096659058845, 0.1769722562297178, -0.21771080734263829, 0.12308861953102108, -0.022785630640087286, 0.09623126980415093, -0.006132223243727836, -0.01815506320015819, 0.12906584786007932, 0.16948878927913896, 0.13560268986942386, 0.12871304879298628, -0.01144533895725843, -0.21466129451795524, -0.33834739168106803, -0.15561770817695825, -0.15876534260955374, 0.08465879006700507, -0.07555656713640331, -0.18800351259458475, 0.3462264474147736, 0.11231665659014747, 0.13362993396568432, 0.11005345006202306, 0.2613604655715206, 0.21095216313964313, -0.011373656079061885, 0.05525922023607835, 0.2002512404187791, 0.1995704512862461, 0.08420920589897059, -0.1997866612014625, 0.013585667113283538, 0.1605397833497333] |
708.2188 | Comparison between Second Variation of Area and Second Variation of
Energy of a Minimal Surface | The conformal parameterisation of a minimal surface is harmonic. Therefore, a
minimal surface is a critical point of both the energy functional and the area
functional. In this paper, we compare the Morse index of a minimal surface as a
critical point of the area functional with its Morse index as a critical point
of the energy functional. The difference between these indices is at most the
real dimension of Teichmuller space. This comparison allows us to obtain
surprisingly good upper bounds on the index of minimal surfaces of finite total
curvature in Euclidean space of any dimension. We also bound the index of a
minimal surface in an arbitrary Riemannian manifold by the area and genus of
the surface, and the dimension and geometry of the ambient manifold.
| math.DG | the conformal parameterisation of a minimal surface is harmonic therefore a minimal surface is a critical point of both the energy functional and the area functional in this paper we compare the morse index of a minimal surface as a critical point of the area functional with its morse index as a critical point of the energy functional the difference between these indices is at most the real dimension of teichmuller space this comparison allows us to obtain surprisingly good upper bounds on the index of minimal surfaces of finite total curvature in euclidean space of any dimension we also bound the index of a minimal surface in an arbitrary riemannian manifold by the area and genus of the surface and the dimension and geometry of the ambient manifold | [['the', 'conformal', 'parameterisation', 'of', 'a', 'minimal', 'surface', 'is', 'harmonic', 'therefore', 'a', 'minimal', 'surface', 'is', 'a', 'critical', 'point', 'of', 'both', 'the', 'energy', 'functional', 'and', 'the', 'area', 'functional', 'in', 'this', 'paper', 'we', 'compare', 'the', 'morse', 'index', 'of', 'a', 'minimal', 'surface', 'as', 'a', 'critical', 'point', 'of', 'the', 'area', 'functional', 'with', 'its', 'morse', 'index', 'as', 'a', 'critical', 'point', 'of', 'the', 'energy', 'functional', 'the', 'difference', 'between', 'these', 'indices', 'is', 'at', 'most', 'the', 'real', 'dimension', 'of', 'teichmuller', 'space', 'this', 'comparison', 'allows', 'us', 'to', 'obtain', 'surprisingly', 'good', 'upper', 'bounds', 'on', 'the', 'index', 'of', 'minimal', 'surfaces', 'of', 'finite', 'total', 'curvature', 'in', 'euclidean', 'space', 'of', 'any', 'dimension', 'we', 'also', 'bound', 'the', 'index', 'of', 'a', 'minimal', 'surface', 'in', 'an', 'arbitrary', 'riemannian', 'manifold', 'by', 'the', 'area', 'and', 'genus', 'of', 'the', 'surface', 'and', 'the', 'dimension', 'and', 'geometry', 'of', 'the', 'ambient', 'manifold']] | [-0.14560458836571652, 0.10737224527945573, -0.12158055086223077, 0.08946411746694859, -0.03715916033184459, -0.0971304973616272, 0.07385335255562249, 0.3076488870744731, -0.22376315471582664, -0.3115753700249186, 0.10024690393867447, -0.2875215095999631, -0.18318190067544465, 0.21319743849710712, -0.11320970722207034, 0.07014825926821087, -0.020279637841117935, 0.11086828441380761, -0.1036974683172943, -0.2097980687611325, 0.4133104838199856, 0.046132180774800996, 0.2594102440607669, 0.12582342512905598, 0.08925003132443557, -0.013136479654800609, 0.009508627524613872, 0.050467878908131904, -0.18641713142301164, 0.23270376531277284, 0.22043016538486, 0.04485470948329325, 0.20814691011093614, -0.379782371771659, -0.26248268681296777, 0.15163137698040682, 0.05670554624769346, 0.03284708343720598, -0.015591333464127352, -0.19087611377065958, 0.08588198038240419, -0.09606098646456881, -0.20045626862696553, -0.01316918822929494, 0.03410362016207488, -0.020702922196928843, -0.1924746177383056, 0.023397515514141758, 0.03578882341006005, 0.11299147022064132, -0.08033129145425578, -0.0748662699100583, -0.10891803491196429, 0.13575460409561477, 0.04993939732360227, 0.07983763476241698, 0.1124080707023079, -0.10999332921030794, -0.061371114040010194, 0.3261504635222025, -0.10431692526177612, -0.2479179963585018, 0.1727066920535971, -0.1569182847323286, -0.09188061554793471, 0.13050771999902042, 0.16138363422017343, 0.12048822307107292, -0.0840451311782118, 0.2142834579193055, -0.030490170411635622, 0.16659182521253788, 0.07728990968749967, -0.01364569706019274, 0.15002338607008606, 0.1415302594870964, 0.175251679624929, 0.14214368246481285, -0.12371271028717648, -0.059314188164796014, -0.3719035593229671, -0.27712356974054925, -0.21275535787549593, 0.06351379741907351, -0.2000413260187109, -0.22017778467672133, 0.4347100495180303, 0.015806599467241046, 0.20671706726095934, 0.08706460224623366, 0.25254493181110005, 0.11297217897110612, 0.02235328654809169, 0.09422704964053145, 0.18300313204021532, 0.145407625194278, 0.009748877245434669, -0.1768724557441883, -0.042780889180135125, 0.12096391074619321] |
708.2189 | Reconsidering Relativistic Causality | I discuss the idea of relativistic causality, i.e. the requirement that
causal processes or signals can propagate only within the light-cone. After
briefly locating this requirement in the philosophy of causation, my main aim
is to draw philosophers' attention to the fact that it is subtle, indeed
problematic, in relativistic quantum physics: there are scenarios in which it
seems to fail.
I consign to an Appendix two such scenarios, which are familiar to
philosophers of physics: the pilot-wave approach, and the Newton-Wigner
representation. I instead stress two unfamiliar scenarios: the
Drummond-Hathrell and Scharnhorst effects. These effects also illustrate a
general moral in the philosophy of geometry: that the mathematical structures,
especially the metric tensor, that represent geometry get their geometric
significance by dint of detailed physical arguments.
| quant-ph | i discuss the idea of relativistic causality ie the requirement that causal processes or signals can propagate only within the lightcone after briefly locating this requirement in the philosophy of causation my main aim is to draw philosophers attention to the fact that it is subtle indeed problematic in relativistic quantum physics there are scenarios in which it seems to fail i consign to an appendix two such scenarios which are familiar to philosophers of physics the pilotwave approach and the newtonwigner representation i instead stress two unfamiliar scenarios the drummondhathrell and scharnhorst effects these effects also illustrate a general moral in the philosophy of geometry that the mathematical structures especially the metric tensor that represent geometry get their geometric significance by dint of detailed physical arguments | [['i', 'discuss', 'the', 'idea', 'of', 'relativistic', 'causality', 'ie', 'the', 'requirement', 'that', 'causal', 'processes', 'or', 'signals', 'can', 'propagate', 'only', 'within', 'the', 'lightcone', 'after', 'briefly', 'locating', 'this', 'requirement', 'in', 'the', 'philosophy', 'of', 'causation', 'my', 'main', 'aim', 'is', 'to', 'draw', 'philosophers', 'attention', 'to', 'the', 'fact', 'that', 'it', 'is', 'subtle', 'indeed', 'problematic', 'in', 'relativistic', 'quantum', 'physics', 'there', 'are', 'scenarios', 'in', 'which', 'it', 'seems', 'to', 'fail', 'i', 'consign', 'to', 'an', 'appendix', 'two', 'such', 'scenarios', 'which', 'are', 'familiar', 'to', 'philosophers', 'of', 'physics', 'the', 'pilotwave', 'approach', 'and', 'the', 'newtonwigner', 'representation', 'i', 'instead', 'stress', 'two', 'unfamiliar', 'scenarios', 'the', 'drummondhathrell', 'and', 'scharnhorst', 'effects', 'these', 'effects', 'also', 'illustrate', 'a', 'general', 'moral', 'in', 'the', 'philosophy', 'of', 'geometry', 'that', 'the', 'mathematical', 'structures', 'especially', 'the', 'metric', 'tensor', 'that', 'represent', 'geometry', 'get', 'their', 'geometric', 'significance', 'by', 'dint', 'of', 'detailed', 'physical', 'arguments']] | [-0.0789608165808022, 0.12024249463074375, -0.13330895870923995, 0.16632924506161362, -0.15614118336699903, -0.1561468227393925, 0.005952332055196166, 0.332290559515357, -0.274218180000782, -0.28328897469863296, 0.06756416752934456, -0.2508211718760431, -0.20309331621043383, 0.1361329753305763, -0.12359055754262954, -0.01906955525279045, 0.029881713770329953, 0.03441736762970686, -0.05309149480611086, -0.23007036263216288, 0.34457960505224766, 0.07481546023767441, 0.27256606925278903, 0.06718393421638758, 0.05823845491372049, -0.002653965439647436, -0.05601638739928603, 0.026519214465282857, -0.09194470329699106, 0.10859878152608872, 0.29766113274358214, 0.21169023440778256, 0.29537630411982535, -0.46736112323403356, -0.2252987475991249, 0.06302638102695346, 0.07739714509248734, 0.13798198995552957, -0.01739663463458419, -0.29855241847038266, 0.03415568856522441, -0.1492876573354006, -0.1440828689301852, -0.049537009570747616, 0.034980662578716876, -0.06414775098860263, -0.1624949974352494, 0.04653651638305746, 0.11530630396003835, 0.04607570891827345, 0.010990092440973967, -0.09745521056000143, 0.01748934170231223, 0.10390714492462576, 0.11240529981069267, -0.0074598042801953856, 0.1255964413434267, -0.14558277519978582, -0.13286606696620584, 0.43396594119817017, 0.06893806713540107, -0.223963586345315, 0.20646493403427302, -0.14240256079472602, -0.17218304446339608, 0.05130217079166323, 0.13090895864367486, 0.07842974611371756, -0.15757980351522566, 0.07773472589906305, 0.0015711277350783349, 0.09631091713439673, 0.04721505432203412, 0.04612338043609634, 0.24742004791274666, 0.08510523976758122, -0.03290271432325244, 0.04378917556256056, -0.0255774313621223, -0.163061752833426, -0.378342193455901, -0.13785463101044299, -0.13148388704448008, 0.05441760572232306, -0.06583330264384858, -0.13478301509469748, 0.3625606604069471, 0.22279228008911015, 0.1363727826331742, -0.006649292826652527, 0.296123666793108, 0.06833831116557121, 0.028743042239919307, 0.05197116605751216, 0.2843166326582432, 0.12524131118692458, 0.10725055752374464, -0.15436407455801965, 0.061921106005087496, 0.04456489406526089] |
708.219 | Primitive Divisors of some Lehmer-Pierce Sequences | We study the primitive divisors of the terms of $(\Delta_n)_{n \geq 1}$,
where $\Delta_n=N_{K/ \mathbb{Q}}(u^n-1)$ for $K$ a real quadratic field, and
$u>1$ a unit element of its ring of integers. The methods used allow us to find
the terms of the sequence that do not have a primitive prime divisor.
| math.NT | we study the primitive divisors of the terms of delta_n_n geq 1 where delta_nn_k mathbbqun1 for k a real quadratic field and u1 a unit element of its ring of integers the methods used allow us to find the terms of the sequence that do not have a primitive prime divisor | [['we', 'study', 'the', 'primitive', 'divisors', 'of', 'the', 'terms', 'of', 'delta_n_n', 'geq', '1', 'where', 'delta_nn_k', 'mathbbqun1', 'for', 'k', 'a', 'real', 'quadratic', 'field', 'and', 'u1', 'a', 'unit', 'element', 'of', 'its', 'ring', 'of', 'integers', 'the', 'methods', 'used', 'allow', 'us', 'to', 'find', 'the', 'terms', 'of', 'the', 'sequence', 'that', 'do', 'not', 'have', 'a', 'primitive', 'prime', 'divisor']] | [-0.2065584646576705, 0.05383941746549681, -0.08990462376580884, 0.005838427226990461, -0.062085537773479395, -0.12700733069020012, 0.012891536323877517, 0.2892294766303773, -0.30395078856963664, -0.22541342892994484, 0.08438627261784859, -0.2589381462118278, -0.12753212507232092, 0.1853505723241445, -0.04394198558293283, -0.0031579594008993204, 0.005047462414950132, 0.15180066019820515, -0.05463618861297922, -0.3203725004180645, 0.37210501295824844, -0.050670235068537295, 0.12480747038595534, 0.03536643113087242, 0.11670164670795202, -0.024632171300860744, 0.03471589971256132, -0.007698820787481964, -0.14953852441567506, 0.15600724064279348, 0.2707400069727252, 0.108904098373993, 0.26334771531886264, -0.4395436000389357, -0.15326648709985116, 0.25754166434247355, 0.16913735173875466, -0.015024747195032736, -0.024593594192992896, -0.13455142531893216, 0.17921174514776794, -0.16831282395044886, -0.1541733933845535, -0.08987958870905761, 0.05908347657774963, 0.043816411605803296, -0.3335292129195295, -0.033754529315046966, 0.09217586030717939, 0.15985817739662403, -0.021872237618178286, -0.16868702630745247, 0.017463237862102687, 0.13220518453939198, 0.030557536869309843, 0.04734935060938975, 0.05860796292351248, -0.11041036054181556, -0.10488289427788307, 0.4173741410098349, -0.08465631062184305, -0.20960335852578282, 0.12942369378288276, -0.1977893583595384, -0.10756205907091498, 0.15404318327394625, 0.12283953772081684, 0.19981837878003716, -0.03599735246583199, 0.17333544521898148, -0.11456846410874277, 0.15585824909309545, 0.040220604821418725, 0.013187463274031566, 0.1937575003321399, 0.02905030079030742, 0.03333535072609569, 0.09343419479167399, -0.08098420298968752, -0.01867627208897223, -0.3449829747745146, -0.25604207675981644, -0.1752551457611844, 0.10142102893132687, -0.11884656459217997, -0.1965807325032074, 0.4220479797028626, 0.1287071779370308, 0.18588795811713985, 0.10472942696651444, 0.21350012440234423, 0.09034322332202767, 0.12986439349090992, 0.03526983359673371, 0.10875770038304229, 0.15703294841417423, -0.014718526140010605, -0.21342206024564803, -0.01894924623775296, 0.10810382772857945] |
708.2191 | The global isoperimetric methodology applied to Kneser's Theorem | We give in the present work a new methodology that allows to give
isoperimetric proofs, for Kneser's Theorem and
Kemperman's structure Theory and most sophisticated results of this type. As
an illustration we present a new proof of Kneser's Theorem.
| math.NT | we give in the present work a new methodology that allows to give isoperimetric proofs for knesers theorem and kempermans structure theory and most sophisticated results of this type as an illustration we present a new proof of knesers theorem | [['we', 'give', 'in', 'the', 'present', 'work', 'a', 'new', 'methodology', 'that', 'allows', 'to', 'give', 'isoperimetric', 'proofs', 'for', 'knesers', 'theorem', 'and', 'kempermans', 'structure', 'theory', 'and', 'most', 'sophisticated', 'results', 'of', 'this', 'type', 'as', 'an', 'illustration', 'we', 'present', 'a', 'new', 'proof', 'of', 'knesers', 'theorem']] | [-0.07498098146606935, -0.035781950360615156, -0.20685662794858217, 0.10037949344550726, -0.14043337418697774, -0.15034453012049198, 0.08334838789596688, 0.2882270317990333, -0.20426285671273944, -0.29786852761171756, 0.10881222503667232, -0.18433105480544326, -0.23303117221221328, 0.26828860798850657, -0.1450805756729096, -0.038662841831683184, 0.05025986968539655, -0.031071772228460758, -0.03480521194287576, -0.21890683983801865, 0.3340463386499323, -0.0034238061867654323, 0.20198917286470533, 0.18337303483858705, 0.05879900495056063, 0.09205396318575368, -0.059278576914221046, -0.02904916279949248, -0.26086761034766826, 0.2241279687092174, 0.25652443314902484, 0.18058803407475352, 0.2793637323717121, -0.40695008262991905, -0.11502267313189804, 0.06531805431004614, 0.12057239490095525, 0.19006972864735872, -0.130414163810201, -0.2628865203354508, 0.096116897277534, -0.18007220251020045, -0.25077478734310715, -0.16783041013404726, -0.002257825527340174, -0.012283085053786636, -0.23725657893373864, 0.08705437130993232, 0.20291925030760466, 0.08017298677004873, -0.050577329164661934, -0.10935066805686802, 0.10030081197619438, 0.048705690330825745, 0.014709768642205745, 0.007770285964943469, 0.025589123205281793, -0.024665536632528528, -0.19298132564872503, 0.31781587926670907, -0.058858272386714816, -0.15327532056253404, 0.16287946875672787, -0.03980859550647438, -0.24186873976141215, -0.0011095616966485978, 0.1621524464106187, 0.18556633396074176, -0.1298778959098854, 0.092646733528818, -0.13641076674684882, 0.12770565744722262, 0.046548910345882176, 0.053724900836823505, 0.060928308754228055, 0.15440783477388323, 0.12773369224742054, 0.20568804352660663, -0.015087851358111947, -0.0400535324588418, -0.4025207877159119, -0.23868544772267342, -0.11888353014364839, 0.10940829264000058, -0.10390330471491324, -0.224046091362834, 0.38826328576542435, 0.16495032159145923, 0.15292797738220543, 0.15853970320895314, 0.2663031345233321, 0.08163337877194862, -0.0049337966018356385, 0.03415428842417896, 0.177628711797297, 0.21603150134906174, 0.10272916508838534, -0.03162015052512288, -0.01069106456125155, 0.21454670834355055] |
708.2192 | Stochastic Einstein Locality Revisited | I discuss various formulations of stochastic Einstein locality (SEL), which
is a version of the idea of relativistic causality, i.e. the idea that
influences propagate at most as fast as light. SEL is similar to Reichenbach's
Principle of the Common Cause (PCC), and Bell's Local Causality.
My main aim is to discuss formulations of SEL for a fixed background
spacetime. I previously argued that SEL is violated by the outcome dependence
shown by Bell correlations, both in quantum mechanics and in quantum field
theory. Here I re-assess those verdicts in the light of some recent literature
which argues that outcome dependence does not violate the PCC. I argue that the
verdicts about SEL still stand.
Finally, I briefly discuss how to formulate relativistic causality if there
is no fixed background spacetime.
| quant-ph | i discuss various formulations of stochastic einstein locality sel which is a version of the idea of relativistic causality ie the idea that influences propagate at most as fast as light sel is similar to reichenbachs principle of the common cause pcc and bells local causality my main aim is to discuss formulations of sel for a fixed background spacetime i previously argued that sel is violated by the outcome dependence shown by bell correlations both in quantum mechanics and in quantum field theory here i reassess those verdicts in the light of some recent literature which argues that outcome dependence does not violate the pcc i argue that the verdicts about sel still stand finally i briefly discuss how to formulate relativistic causality if there is no fixed background spacetime | [['i', 'discuss', 'various', 'formulations', 'of', 'stochastic', 'einstein', 'locality', 'sel', 'which', 'is', 'a', 'version', 'of', 'the', 'idea', 'of', 'relativistic', 'causality', 'ie', 'the', 'idea', 'that', 'influences', 'propagate', 'at', 'most', 'as', 'fast', 'as', 'light', 'sel', 'is', 'similar', 'to', 'reichenbachs', 'principle', 'of', 'the', 'common', 'cause', 'pcc', 'and', 'bells', 'local', 'causality', 'my', 'main', 'aim', 'is', 'to', 'discuss', 'formulations', 'of', 'sel', 'for', 'a', 'fixed', 'background', 'spacetime', 'i', 'previously', 'argued', 'that', 'sel', 'is', 'violated', 'by', 'the', 'outcome', 'dependence', 'shown', 'by', 'bell', 'correlations', 'both', 'in', 'quantum', 'mechanics', 'and', 'in', 'quantum', 'field', 'theory', 'here', 'i', 'reassess', 'those', 'verdicts', 'in', 'the', 'light', 'of', 'some', 'recent', 'literature', 'which', 'argues', 'that', 'outcome', 'dependence', 'does', 'not', 'violate', 'the', 'pcc', 'i', 'argue', 'that', 'the', 'verdicts', 'about', 'sel', 'still', 'stand', 'finally', 'i', 'briefly', 'discuss', 'how', 'to', 'formulate', 'relativistic', 'causality', 'if', 'there', 'is', 'no', 'fixed', 'background', 'spacetime']] | [-0.0823858400392666, 0.11806471510754742, -0.12738345654766636, 0.15723796812408666, -0.09192835776675634, -0.2100741976431308, 0.003572076320015463, 0.32195838424910345, -0.22468814324783756, -0.2613278393214213, 0.07351207572572246, -0.2511583318905407, -0.15196757167862116, 0.13181872664460245, -0.13852343434656308, 0.009790022954351859, 0.01360568045176395, 0.03721857437053482, -0.05961534511013568, -0.23081470942764565, 0.32808590474190147, 0.09214790757631755, 0.31062615818152106, 0.06937656038305687, 0.07468791132551113, 0.025465107686419523, -0.05330788172987638, 0.08724961647379945, -0.08557244157174225, 0.048726626816259, 0.22152565104552752, 0.23271597872438435, 0.2925535681877882, -0.43418549554322966, -0.23158303336844643, 0.063710656496945, 0.09124474691467907, 0.14274288973244945, -0.029641806370159257, -0.23989220664264166, 0.06602503251255924, -0.14148658071822337, -0.1536258772097329, -0.024018451621229866, 0.05438162798492081, -0.02656706317704711, -0.1729738121276423, 0.09246575196526007, 0.11127036704347675, 0.050756646785885096, -0.0017561344652017223, -0.09564919011731354, 0.016860338403374128, 0.022505110417641985, 0.09734390251416684, 0.029314202096540738, 0.11918532979169874, -0.09889318660712083, -0.15023625384703393, 0.41056356200137895, -0.020332355879136992, -0.1997826173315038, 0.17556615708438494, -0.15617542992921846, -0.18071607127785683, 0.028322270534619803, 0.08073022118449666, 0.07990218735324887, -0.1669369572204829, 0.0655664366142085, -0.03907424820416415, 0.16126761043031934, 0.05921753026715672, 0.08915265531097859, 0.22176337397109916, 0.05342795183697275, 0.01261869051230659, 0.05304195522863901, -0.045625065360929216, -0.14750718174303193, -0.417234614477244, -0.14876357617411223, -0.1611092299614404, 0.07861961297282526, -0.05746618810777183, -0.115689378177333, 0.28573660685801666, 0.21318003159897927, 0.12064073014895979, 0.008987801243686153, 0.24295356349294422, 0.09159505556209567, 0.02490443380848142, 0.12575766231281726, 0.35141229094650406, 0.15130413339281354, 0.09161527613391175, -0.21876215677751043, 0.07264716079092463, 0.039936974367396974] |
708.2193 | Focusing waves in unknown media by modified time reversal iteration | We study the wave equation in a bounded domain or on a compact Riemannian
manifold with boundary. Assume that we are given the hyperbolic
Neumann-to-Dirichlet map on the boundary corresponding to physical boundary
measurements. We consider how to focus waves, that is, how to find Neumann
boundary values so that at a given time the corresponding wave converges to a
delta distribution $\delta_y$ while the time derivative of the wave converges
to zero. Such boundary value are generated by an iterative sequence of
measurements. In each iteration step we apply time reversal and other simple
operators to measured data and compute boundary values for the next iteration
step. The key feature of the algorithm is that it does not require knowledge of
the coefficients in the wave equation, that is, the material parameters inside
the media. However, we assume that the point $y$ where the wave focuses is
known in travel time coordinates.
| math.AP math.OC | we study the wave equation in a bounded domain or on a compact riemannian manifold with boundary assume that we are given the hyperbolic neumanntodirichlet map on the boundary corresponding to physical boundary measurements we consider how to focus waves that is how to find neumann boundary values so that at a given time the corresponding wave converges to a delta distribution delta_y while the time derivative of the wave converges to zero such boundary value are generated by an iterative sequence of measurements in each iteration step we apply time reversal and other simple operators to measured data and compute boundary values for the next iteration step the key feature of the algorithm is that it does not require knowledge of the coefficients in the wave equation that is the material parameters inside the media however we assume that the point y where the wave focuses is known in travel time coordinates | [['we', 'study', 'the', 'wave', 'equation', 'in', 'a', 'bounded', 'domain', 'or', 'on', 'a', 'compact', 'riemannian', 'manifold', 'with', 'boundary', 'assume', 'that', 'we', 'are', 'given', 'the', 'hyperbolic', 'neumanntodirichlet', 'map', 'on', 'the', 'boundary', 'corresponding', 'to', 'physical', 'boundary', 'measurements', 'we', 'consider', 'how', 'to', 'focus', 'waves', 'that', 'is', 'how', 'to', 'find', 'neumann', 'boundary', 'values', 'so', 'that', 'at', 'a', 'given', 'time', 'the', 'corresponding', 'wave', 'converges', 'to', 'a', 'delta', 'distribution', 'delta_y', 'while', 'the', 'time', 'derivative', 'of', 'the', 'wave', 'converges', 'to', 'zero', 'such', 'boundary', 'value', 'are', 'generated', 'by', 'an', 'iterative', 'sequence', 'of', 'measurements', 'in', 'each', 'iteration', 'step', 'we', 'apply', 'time', 'reversal', 'and', 'other', 'simple', 'operators', 'to', 'measured', 'data', 'and', 'compute', 'boundary', 'values', 'for', 'the', 'next', 'iteration', 'step', 'the', 'key', 'feature', 'of', 'the', 'algorithm', 'is', 'that', 'it', 'does', 'not', 'require', 'knowledge', 'of', 'the', 'coefficients', 'in', 'the', 'wave', 'equation', 'that', 'is', 'the', 'material', 'parameters', 'inside', 'the', 'media', 'however', 'we', 'assume', 'that', 'the', 'point', 'y', 'where', 'the', 'wave', 'focuses', 'is', 'known', 'in', 'travel', 'time', 'coordinates']] | [-0.14681116872607103, 0.10856062192951095, -0.08682676376637948, 0.00683959143759768, -0.1257303913346084, -0.11455945781389483, 0.017281121995111354, 0.38347782709428835, -0.29480423841601106, -0.21843659477551874, 0.1543736520582457, -0.2991059274759655, -0.12810779577942893, 0.16708556480030073, -0.02979826499872348, 0.08027853312072028, 0.07198333516686521, 0.10710137940827587, -0.10371552089083136, -0.18641552204430542, 0.3913339465746985, -0.012755002552533852, 0.24154560274012338, 0.032938491385673584, 0.13142298204973463, -0.02904266853408973, -0.008958463651414205, -0.00726733060882372, -0.13653660692064185, 0.047097581852641374, 0.2401210354653254, 0.10063144752414885, 0.27003969447048126, -0.45374826402738205, -0.21922974989694707, 0.11596010871965048, 0.12666197370104734, 0.0799489919981901, -0.01681200448298839, -0.24544694860240604, 0.08161553882102002, -0.059798640963694485, -0.16429642698684938, -0.01928049894780213, 0.0295832917684677, 0.02322876278890808, -0.29276321439096836, 0.06868308488267406, 0.04610510666423258, -0.02149065858528499, -0.0966818399203856, -0.07714400274277318, -0.057242712502069526, 0.12260751039538459, 0.044591344481340174, 0.08772019700609829, 0.10279604640113664, -0.09487531945912861, -0.05670146906468409, 0.37519945526264264, -0.0958612541108106, -0.28262618735578715, 0.13910071451515202, -0.19144368360086886, -0.10489959508375404, 0.10795254307784347, 0.16657386771654345, 0.14918079330689377, -0.12491108994517061, 0.09614894217035423, -0.04123338896983221, 0.1691044638539418, 0.07523054449386846, -0.024875162975874797, 0.11998268173021429, 0.12297418473662772, 0.1440636899711844, 0.10338663621432775, -0.0890723879089932, -0.08046290665572765, -0.3482486937146366, -0.1753068094908753, -0.23894162099272792, 0.04407815682074798, -0.08202164314266483, -0.18287566083550355, 0.3822760293686312, 0.1773272724456939, 0.23632773805068794, 0.0761570191114313, 0.2717266795316748, 0.18900961932167715, 0.04812439663786124, 0.1210763625910177, 0.19234183860419232, 0.08190548896113885, 0.11196365115366681, -0.21402712079264175, 0.05933431439783449, 0.10313076225557939] |
708.2194 | Fermionic vacuum polarization in higher-dimensional global monopole
spacetime | In this paper we analyse the vacuum polarization effects associated with a
massless fermionic field in a higher-dimensional global monopole spacetime in
the "braneworld" scenario. In this context we admit that the our Universe, the
bulk, is represented by a flat $(n-1)-$dimensional brane having a global
monopole in a extra transverse three dimensional submanifold. We explicitly
calculate the renormalized vacuum average of the energy-momentum tensor,
$<T_A^B(x)>_{Ren.}$, admitting the global monopole as being a point-like
object. We observe that this quantity depends crucially on the value of $n$,
and we provide explicit expressions to it for specific values attributed to
$n$.
| hep-th gr-qc | in this paper we analyse the vacuum polarization effects associated with a massless fermionic field in a higherdimensional global monopole spacetime in the braneworld scenario in this context we admit that the our universe the bulk is represented by a flat n1dimensional brane having a global monopole in a extra transverse three dimensional submanifold we explicitly calculate the renormalized vacuum average of the energymomentum tensor t_abx_ren admitting the global monopole as being a pointlike object we observe that this quantity depends crucially on the value of n and we provide explicit expressions to it for specific values attributed to n | [['in', 'this', 'paper', 'we', 'analyse', 'the', 'vacuum', 'polarization', 'effects', 'associated', 'with', 'a', 'massless', 'fermionic', 'field', 'in', 'a', 'higherdimensional', 'global', 'monopole', 'spacetime', 'in', 'the', 'braneworld', 'scenario', 'in', 'this', 'context', 'we', 'admit', 'that', 'the', 'our', 'universe', 'the', 'bulk', 'is', 'represented', 'by', 'a', 'flat', 'n1dimensional', 'brane', 'having', 'a', 'global', 'monopole', 'in', 'a', 'extra', 'transverse', 'three', 'dimensional', 'submanifold', 'we', 'explicitly', 'calculate', 'the', 'renormalized', 'vacuum', 'average', 'of', 'the', 'energymomentum', 'tensor', 't_abx_ren', 'admitting', 'the', 'global', 'monopole', 'as', 'being', 'a', 'pointlike', 'object', 'we', 'observe', 'that', 'this', 'quantity', 'depends', 'crucially', 'on', 'the', 'value', 'of', 'n', 'and', 'we', 'provide', 'explicit', 'expressions', 'to', 'it', 'for', 'specific', 'values', 'attributed', 'to', 'n']] | [-0.1863299042663791, 0.13607420285015998, -0.06583152458335113, 0.09350028580332156, -0.079481503625184, -0.1029946913547588, -0.027404477632830316, 0.32663635018686155, -0.14914146675304932, -0.2692763178992659, 0.047982775648547846, -0.2455618482205377, -0.138094404220788, 0.0932047146588865, -0.038104263063745966, -0.03077919788013631, -0.03273915087409092, 0.10430501788799332, -0.09229083534687607, -0.21701755218979235, 0.40243582986295223, 0.02744368055007524, 0.2704088230513864, 0.0411364717498384, 0.14713181169101536, -0.009197489357308833, -0.0036843685989475083, 0.08058313491067501, -0.1518383010090952, 0.09458722211679237, 0.18979663705697866, 0.06010951282870439, 0.15941438760909468, -0.40918754189830236, -0.19378740532380162, 0.17167321850799702, 0.1619310389188203, 0.16580911453888572, -0.0289170182923871, -0.2670380684989269, 0.0656799716178817, -0.18056542952568505, -0.18936871420686144, -0.08302609581556736, 0.017712350658404482, -0.08952058130649454, -0.23845160769703186, 0.10098682906633864, 0.03780514783122473, 0.011065917124858859, -0.11511806526040244, -0.06733687033387598, -0.05371144862441026, 0.08073255365168808, 0.10001679369474226, 0.04924465423553354, 0.1309926488737792, -0.14965878057476154, -0.0901698151778552, 0.3604890216480602, -0.15588987705231916, -0.2941857247255893, 0.1032999148216061, -0.17257956445988532, -0.12490651384936739, 0.10994843953533681, 0.14294393516775936, 0.16511900099276594, -0.12260795035634679, 0.18735056521895463, -0.07850416300987656, 0.12880507771588975, 0.08403728911276868, 0.07207641456125662, 0.2688275826248256, 0.11142449098817929, 0.05856296340605677, 0.18182514024183455, -0.053271832132730824, -0.0801713652626583, -0.4053810303560411, -0.18072442835987065, -0.17723701832195124, 0.13537231880719913, -0.14307863354630596, -0.20787415034466922, 0.39206651442053947, 0.11088672879982782, 0.20540257361823355, 0.018375710725332752, 0.25973207420772976, 0.086809461837578, 0.055631392795329145, 0.09753560604565222, 0.27726021399157064, 0.08770175389428106, 0.11876784634277826, -0.23459302033344753, -0.0784671239394958, 0.11935459018327446] |
708.2195 | Connection between ordinary multinomials, generalized Fibonacci numbers,
partial Bell partition polynomials and convolution powers of discrete uniform
distribution | Using an explicit computable expression of ordinary multinomials, we
establish three remarkable connections, with the q-generalized Fibonacci
sequence, the exponential partial Bell partition polynomials and the density of
convolution powers of the discrete uniform distribution. Identities and various
combinatorial relations are derived.
| math.CO math.PR | using an explicit computable expression of ordinary multinomials we establish three remarkable connections with the qgeneralized fibonacci sequence the exponential partial bell partition polynomials and the density of convolution powers of the discrete uniform distribution identities and various combinatorial relations are derived | [['using', 'an', 'explicit', 'computable', 'expression', 'of', 'ordinary', 'multinomials', 'we', 'establish', 'three', 'remarkable', 'connections', 'with', 'the', 'qgeneralized', 'fibonacci', 'sequence', 'the', 'exponential', 'partial', 'bell', 'partition', 'polynomials', 'and', 'the', 'density', 'of', 'convolution', 'powers', 'of', 'the', 'discrete', 'uniform', 'distribution', 'identities', 'and', 'various', 'combinatorial', 'relations', 'are', 'derived']] | [-0.17864901191067128, 0.0797624663381222, -0.11412465359483447, 0.15841757480631627, -0.09211082836346966, -0.12052018406046998, 0.023490018657563876, 0.3026480808676708, -0.3438355951350656, -0.2587090391011554, 0.0757380042646435, -0.25399172284995164, -0.19444742013833352, 0.16743494439426632, -0.02604899080913691, 0.11109506601877954, -0.029008206063216285, 0.05532924924045801, -0.1478547623983537, -0.27518356529374915, 0.35058410328236367, -0.04597492910744179, 0.2706873746854918, -0.03073903965958466, 0.1470031403892097, -0.012494892602609027, -0.11261399707845635, -0.06327044901748498, -0.16374924986268438, 0.18464840411962496, 0.20188874637685894, 0.14441819373695625, 0.1957124935163717, -0.44193842936129796, -0.0812897080599907, 0.1383992847321289, 0.15846665005665272, 0.017283224944202674, -0.041486662502090134, -0.26231925154016134, 0.03155506470163042, -0.22242140478088654, -0.13339114538255326, -0.10094770273592855, 0.036678857840819375, 0.1633827643402453, -0.31399899011566523, 0.08870067588785398, 0.1013901760424709, 0.10167402425403929, -0.01464087335348484, -0.17625567565361658, 0.017579590250361002, 0.1273460072975251, -0.0048101345476295266, -0.06595184369057062, -0.0038829390070445483, -0.14041239360258692, -0.14406023059217704, 0.2791374162105577, -0.012854502780274266, -0.2482847190417704, 0.11987768977858304, -0.13244856311939657, -0.18237891358633837, 0.11457431258722431, 0.04049504264479592, 0.09036436572759635, -0.1322777279253517, 0.09941319996834777, -0.1352168113974455, 0.1059940674209169, 0.19528887643744902, 0.08792928342397015, 0.12012839139927001, -0.03189118306285569, 0.006977879519884785, 0.24257529801910832, 0.00184528225578279, -0.1491688041881259, -0.3306150106447084, -0.17098887153856812, -0.20647320038239872, 0.08884514675342611, -0.23835735654713408, -0.1950952282751955, 0.37316555099650506, 0.00646554831681507, 0.16380453954583832, 0.20408729175549178, 0.2062623030284331, 0.24354945229632513, -0.006540411628694052, -0.009741385890915158, 0.05688516689198358, 0.2771717670506665, 0.015308863427933483, -0.14351102605550772, 0.046151556861808614, 0.21305132666713603] |
708.2196 | Superfluid properties of a Bose-Einstein condensate in an optical
lattice confined in a cavity | We study the effect of a one dimensional optical lattice in a cavity field
with quantum properties on the superfluid dynamics of a Bose-Einstein
condensate(BEC). In the cavity the influence of atomic backaction and the
external driving pump become important and strongly modify the optical
potential. Due to the strong coupling between the condensate wavefunction and
the cavity modes, the cavity light field develops a band structure. This study
reveals that the pump and the cavity emerges as a new handle to control the
superfluid properties of the BEC.
| cond-mat.stat-mech | we study the effect of a one dimensional optical lattice in a cavity field with quantum properties on the superfluid dynamics of a boseeinstein condensatebec in the cavity the influence of atomic backaction and the external driving pump become important and strongly modify the optical potential due to the strong coupling between the condensate wavefunction and the cavity modes the cavity light field develops a band structure this study reveals that the pump and the cavity emerges as a new handle to control the superfluid properties of the bec | [['we', 'study', 'the', 'effect', 'of', 'a', 'one', 'dimensional', 'optical', 'lattice', 'in', 'a', 'cavity', 'field', 'with', 'quantum', 'properties', 'on', 'the', 'superfluid', 'dynamics', 'of', 'a', 'boseeinstein', 'condensatebec', 'in', 'the', 'cavity', 'the', 'influence', 'of', 'atomic', 'backaction', 'and', 'the', 'external', 'driving', 'pump', 'become', 'important', 'and', 'strongly', 'modify', 'the', 'optical', 'potential', 'due', 'to', 'the', 'strong', 'coupling', 'between', 'the', 'condensate', 'wavefunction', 'and', 'the', 'cavity', 'modes', 'the', 'cavity', 'light', 'field', 'develops', 'a', 'band', 'structure', 'this', 'study', 'reveals', 'that', 'the', 'pump', 'and', 'the', 'cavity', 'emerges', 'as', 'a', 'new', 'handle', 'to', 'control', 'the', 'superfluid', 'properties', 'of', 'the', 'bec']] | [-0.20358965800698386, 0.19993872908100987, -0.1066001428898131, -0.0031397574008285496, -0.028395455770110815, -0.14024549370547862, 0.05292562822146823, 0.35794206189640454, -0.2667538093833326, -0.2319789592888248, 0.024589193338695706, -0.24988890789302715, -0.1016944878410255, 0.1810885687944678, 0.04532575554978312, 0.02625606597265166, -0.002955552964900317, -0.0018626627135561423, -0.015425389378823423, -0.15090243160473496, 0.3499704507870202, 0.0273931916748184, 0.31968869337958566, 0.09161767126531915, 0.08409764779354917, 0.008520700288622568, 0.07971495335524002, -0.008217951301171372, -0.12153690867951687, 0.08873324381878202, 0.155851208071193, -0.04119783002108838, 0.2938828831721683, -0.4439444000299057, -0.23247947241081543, 0.0707471455771769, 0.14744247712739064, 0.21239388254837374, -0.0674547381199415, -0.30440068012626653, -0.08481377607023113, -0.1461069271376545, -0.17212619826072054, -0.06369136149335779, -0.009604154832221651, 0.026674168398917727, -0.24019244722721136, 0.03976392225372825, 0.07461381896158283, 0.07029868952218402, -0.05801606475469771, 0.022636143019778676, -0.012400378844585646, 0.06707862307830306, 0.00873159548121222, 0.05028926204691191, 0.19263720619649197, -0.22668656498415127, -0.05072013328239071, 0.40892596263438463, -0.11978766464188778, -0.11259293633649188, 0.17773876443840145, -0.18496621162055082, 0.008183026058452853, 0.12129684775188733, 0.1827520127041956, 0.04609359701404746, -0.07644998288538118, 0.04538965859879436, -0.030846594644480207, 0.2346745700146375, 0.04849512894962276, 0.15133201167379176, 0.27464855856816756, 0.18804514881621084, 0.014143575244489011, 0.23832405273792115, -0.10861278742059982, -0.11258393442362882, -0.2532905353955255, -0.1454689461591371, -0.17308162251654802, 0.03992409338609556, -0.05911667839024907, -0.1878517040789253, 0.44415437486650566, 0.1581134332698414, 0.17754568504902085, -0.08164290993819746, 0.3226967381543658, 0.13899773008090685, 0.08026857103817583, 0.01875275229051542, 0.3511489595004012, 0.22567686208345916, 0.09403524205109544, -0.3991069650968139, -0.06950984578161093, 0.006929343262833826] |
708.2197 | Piecewise linear regularized solution paths | We consider the generic regularized optimization problem
$\hat{\mathsf{\beta}}(\lambda)=\arg
\min_{\beta}L({\sf{y}},X{\sf{\beta}})+\lambda J({\sf{\beta}})$. Efron, Hastie,
Johnstone and Tibshirani [Ann. Statist. 32 (2004) 407--499] have shown that for
the LASSO--that is, if $L$ is squared error loss and $J(\beta)=\|\beta\|_1$ is
the $\ell_1$ norm of $\beta$--the optimal coefficient path is piecewise linear,
that is, $\partial \hat{\beta}(\lambda)/\partial \lambda$ is piecewise
constant. We derive a general characterization of the properties of (loss $L$,
penalty $J$) pairs which give piecewise linear coefficient paths. Such pairs
allow for efficient generation of the full regularized coefficient paths. We
investigate the nature of efficient path following algorithms which arise. We
use our results to suggest robust versions of the LASSO for regression and
classification, and to develop new, efficient algorithms for existing problems
in the literature, including Mammen and van de Geer's locally adaptive
regression splines.
| math.ST stat.ML stat.TH | we consider the generic regularized optimization problem hatmathsfbetalambdaarg min_betalsfyxsfbetalambda jsfbeta efron hastie johnstone and tibshirani ann statist 32 2004 407499 have shown that for the lassothat is if l is squared error loss and jbetabeta_1 is the ell_1 norm of betathe optimal coefficient path is piecewise linear that is partial hatbetalambdapartial lambda is piecewise constant we derive a general characterization of the properties of loss l penalty j pairs which give piecewise linear coefficient paths such pairs allow for efficient generation of the full regularized coefficient paths we investigate the nature of efficient path following algorithms which arise we use our results to suggest robust versions of the lasso for regression and classification and to develop new efficient algorithms for existing problems in the literature including mammen and van de geers locally adaptive regression splines | [['we', 'consider', 'the', 'generic', 'regularized', 'optimization', 'problem', 'hatmathsfbetalambdaarg', 'min_betalsfyxsfbetalambda', 'jsfbeta', 'efron', 'hastie', 'johnstone', 'and', 'tibshirani', 'ann', 'statist', '32', '2004', '407499', 'have', 'shown', 'that', 'for', 'the', 'lassothat', 'is', 'if', 'l', 'is', 'squared', 'error', 'loss', 'and', 'jbetabeta_1', 'is', 'the', 'ell_1', 'norm', 'of', 'betathe', 'optimal', 'coefficient', 'path', 'is', 'piecewise', 'linear', 'that', 'is', 'partial', 'hatbetalambdapartial', 'lambda', 'is', 'piecewise', 'constant', 'we', 'derive', 'a', 'general', 'characterization', 'of', 'the', 'properties', 'of', 'loss', 'l', 'penalty', 'j', 'pairs', 'which', 'give', 'piecewise', 'linear', 'coefficient', 'paths', 'such', 'pairs', 'allow', 'for', 'efficient', 'generation', 'of', 'the', 'full', 'regularized', 'coefficient', 'paths', 'we', 'investigate', 'the', 'nature', 'of', 'efficient', 'path', 'following', 'algorithms', 'which', 'arise', 'we', 'use', 'our', 'results', 'to', 'suggest', 'robust', 'versions', 'of', 'the', 'lasso', 'for', 'regression', 'and', 'classification', 'and', 'to', 'develop', 'new', 'efficient', 'algorithms', 'for', 'existing', 'problems', 'in', 'the', 'literature', 'including', 'mammen', 'and', 'van', 'de', 'geers', 'locally', 'adaptive', 'regression', 'splines']] | [-0.07797735531312355, -0.0006819441077823285, -0.058397162536721225, 0.08533095504935773, -0.1316184700044687, -0.18506989624802372, 0.01643992925164639, 0.4044210539505002, -0.3093648534068052, -0.24619662460463587, 0.12357289803458116, -0.244175542742596, -0.21417069196832017, 0.18977802651534148, -0.12526860856814892, 0.13082024905088474, 0.07268434130673995, -0.049470363157524844, -0.0799842400047055, -0.30154771383513435, 0.26310948434377224, 0.05809932060947176, 0.2529441503349972, 0.007133131484806654, 0.15884006593478261, 0.0872906915301428, -0.06351717476354679, 0.007738128934761335, -0.19055631159665154, 0.15713727755746731, 0.26700140469984035, 0.12382895353221102, 0.3334673707431648, -0.30696609140431974, -0.21776005065839854, 0.1367895001785655, 0.06594963700490553, 0.06648401683742122, 0.014530604625178967, -0.20961012424959335, 0.09974520920104624, -0.12538563234556932, -0.07900558086112142, -0.09839214807652752, 0.032375111390138045, 0.0323899990062273, -0.4114369278977392, 0.15353753767340095, 0.10157284446540871, 0.020097231889849354, -0.02329095412278548, -0.18932001423581823, 0.038180649373316555, 0.04103539270727197, -0.006737184268786223, 0.036671426525572315, 0.05179916532460993, -0.07352565240944386, -0.15777940718908212, 0.31376400818408, -0.0713525182709418, -0.22990052671957528, 0.1712883050676055, -0.014011753708473407, -0.10765671671106247, 0.09277550496699405, 0.20004809351485164, 0.1507365575798758, -0.1303452533456948, 0.14010925783577477, -0.05605806563016813, 0.09560668494304991, 0.0840484397704131, -0.011665096100387018, 0.06869779064220438, 0.10473551900759048, 0.14253981374895375, 0.12436200598494906, -0.07761439511159551, -0.06629032903947518, -0.2667129580004257, -0.16405202056739654, -0.1638492032452632, 0.008219340485084103, -0.11255458047560296, -0.20607212065237945, 0.3285530272478354, 0.1039922818672494, 0.19808605819707736, 0.13465228396125895, 0.24464534079561417, 0.12924923939590371, 0.009688783526144107, 0.15655807631083007, 0.23475176703141187, 0.14891931515012402, 0.034343156694376376, -0.21706795160571346, 0.046824232097208096, 0.16263041334968875] |
708.2198 | $B_2$-crystals: axioms, structure, models | We present a list of ``local'' axioms and an explicit combinatorial
construction for the regular $B_2$-crystals (crystal graphs of highest weight
integrable modules over $U_q(sp_4)$). Also a new combinatorial model for these
crystals is developed.
| math.RT math.CO | we present a list of local axioms and an explicit combinatorial construction for the regular b_2crystals crystal graphs of highest weight integrable modules over u_qsp_4 also a new combinatorial model for these crystals is developed | [['we', 'present', 'a', 'list', 'of', 'local', 'axioms', 'and', 'an', 'explicit', 'combinatorial', 'construction', 'for', 'the', 'regular', 'b_2crystals', 'crystal', 'graphs', 'of', 'highest', 'weight', 'integrable', 'modules', 'over', 'u_qsp_4', 'also', 'a', 'new', 'combinatorial', 'model', 'for', 'these', 'crystals', 'is', 'developed']] | [-0.09911159574138848, 0.062439373063336294, -0.0554094732541478, 0.06870177167002112, -0.16623607210137628, -0.16181872147276546, 0.04167286574022111, 0.38776546061942074, -0.32628722048618575, -0.24764969397449133, 0.07946748603982004, -0.20093874572635148, -0.16474484437794396, 0.21909467937340113, -0.09562775328981155, 0.034655780785463074, 0.06806141809757912, 0.06697284173446172, -0.09815783407071704, -0.29193810836383793, 0.345584582452747, 0.0941356426443566, 0.22979402798933513, 0.0435145800742744, 0.1997290032661774, 0.04115621079549645, -0.01882840630908807, 0.009822402149438858, -0.2456286560292497, 0.17093733252223695, 0.29103232959680486, 0.07092626985501159, 0.17820611596107483, -0.38578075187450106, -0.1263011776776914, 0.12356253628703681, 0.10250428667517775, 0.14394310082901607, -0.055805877591906625, -0.1903759049195232, 0.1117650509783716, -0.2066643579552571, -0.11649409653336713, -0.09559325416657058, 0.02858272869365685, 0.02193798550940824, -0.2528187936228333, -0.035636721370269006, 0.1064888035638653, 0.13872438045500807, -0.11868207794473026, -0.14904241728822165, 0.029119719341961725, 0.037801584087763775, -0.12971712319730697, -0.029313939919864588, 0.03446166529179071, -0.13838058140015963, -0.20782118570059538, 0.30672062730247324, 0.058508903719484806, -0.19257301080153522, 0.1418033463767532, -0.04936959854129589, -0.2389116668791482, 0.17334733578856243, 0.09414782587996204, 0.12948917710419858, -0.1466976949154879, 0.10326913920421661, -0.16263289851221172, 0.10576197392109668, 0.08682286451486024, 0.052751601758328354, 0.18319459835236723, 0.14090265785202835, 0.07422168668585294, 0.20132394939322362, 0.012012964636651855, -0.04301067187704823, -0.3404477985406464, -0.20359884733845707, -0.15710771517037894, 0.04274597738615491, -0.16602866440459338, -0.26115868150284793, 0.4976511951712327, 0.0519515529952266, 0.10627937590646924, 0.15124813089090766, 0.14544341052797707, 0.0397536362888235, 0.08465214507569643, 0.024249242661012846, 0.11536952150477604, 0.1634385809866768, 0.030307306975098043, -0.08858134373175827, -0.002819845455550504, 0.17498185227371074] |
708.2199 | Curves of given $p$-rank with trivial automorphism group | Let $k$ be an algebraically closed field of characteristic $p >0$. Suppose $g
\geq 3$ and $0 \leq f \leq g$. We prove there is a smooth projective $k$-curve
of genus $g$ and $p$-rank $f$ with no non-trivial automorphisms. In addition,
we prove there is a smooth projective hyperelliptic $k$-curve of genus $g$ and
$p$-rank $f$ whose only non-trivial automorphism is the hyperelliptic
involution. The proof involves computations about the dimension of the moduli
space of (hyperelliptic) $k$-curves of genus $g$ and $p$-rank $f$ with extra
automorphisms.
| math.NT | let k be an algebraically closed field of characteristic p 0 suppose g geq 3 and 0 leq f leq g we prove there is a smooth projective kcurve of genus g and prank f with no nontrivial automorphisms in addition we prove there is a smooth projective hyperelliptic kcurve of genus g and prank f whose only nontrivial automorphism is the hyperelliptic involution the proof involves computations about the dimension of the moduli space of hyperelliptic kcurves of genus g and prank f with extra automorphisms | [['let', 'k', 'be', 'an', 'algebraically', 'closed', 'field', 'of', 'characteristic', 'p', '0', 'suppose', 'g', 'geq', '3', 'and', '0', 'leq', 'f', 'leq', 'g', 'we', 'prove', 'there', 'is', 'a', 'smooth', 'projective', 'kcurve', 'of', 'genus', 'g', 'and', 'prank', 'f', 'with', 'no', 'nontrivial', 'automorphisms', 'in', 'addition', 'we', 'prove', 'there', 'is', 'a', 'smooth', 'projective', 'hyperelliptic', 'kcurve', 'of', 'genus', 'g', 'and', 'prank', 'f', 'whose', 'only', 'nontrivial', 'automorphism', 'is', 'the', 'hyperelliptic', 'involution', 'the', 'proof', 'involves', 'computations', 'about', 'the', 'dimension', 'of', 'the', 'moduli', 'space', 'of', 'hyperelliptic', 'kcurves', 'of', 'genus', 'g', 'and', 'prank', 'f', 'with', 'extra', 'automorphisms']] | [-0.3441357642984896, 0.1357655900160196, -0.10276408266575857, -0.032263314652513586, -0.11663206250289049, -0.24003203591096334, -0.02798233112058035, 0.35301866836246404, -0.32667289044836473, -0.24097231670614633, 0.001825901919215832, -0.26324774452816996, -0.1070623140134474, 0.22275652731608214, -0.15441153604194693, -0.06705228379130064, 0.008505968647291777, 0.18443989581374945, -0.11749417852910085, -0.36580537614979963, 0.4093619165995597, -0.22104633412987593, 0.08220394157761729, 0.07743162593815005, 0.11538508568687, -0.011125085225071886, 0.06008862228207718, -0.07692200451555405, -0.2565538355031575, 0.032036201621609174, 0.38230132906772624, 0.03915158588300063, 0.18793266880708673, -0.2948167176125036, -0.1828222500866857, 0.3737320852005619, 0.14521480575417992, -0.1471311460709435, 0.03988612419122766, -0.19213815041999707, 0.14003707940593876, -0.07114095804977348, -0.24192863028368045, -0.05022487095717726, 0.21426679712757682, -0.05502965852575398, -0.22376906738520183, -0.05345065465689391, 0.14533628919429478, 0.2712369678734705, 0.06381586149880855, -0.2029252140301055, -0.20165898404672913, -0.01144668576709027, -0.006576245827362846, 0.20957874206440716, 0.032222883604552555, -0.09214473507987957, -0.01881946994248649, 0.28577397028305407, -0.10624077198919894, -0.16878886863418008, 0.037633528601078464, -0.20955000875046711, -0.15978762513861575, 0.18376855021235586, 0.06416074893084066, 0.2794759020466229, 0.1215420813867073, 0.3557571627643901, -0.1333084289819516, 0.15571994056133018, 0.1170669873726779, -0.1437978147885002, 0.07065051032936778, 0.02987310071689901, 0.11286227314615216, 0.11481593017086344, 0.039891429502388526, 0.15146115340891925, -0.4458100420647654, -0.19926786812386293, -0.1085424462825745, 0.3010424769365753, -0.1898472241665258, -0.14102049158008276, 0.3998039279550571, -0.015141499892476646, 0.12918422631277093, 0.16571197991698294, 0.17598606663188715, 0.008841972846280912, 0.009151299569712973, 0.1748892022992602, 0.00025319856131213837, 0.2824263597956334, -0.20970295883458237, -0.1374945520415324, -0.026904304538607256, 0.22690975605028457] |
708.22 | Supersymmetric and R symmetric vacua in Wess-Zumino models | In the context of supersymmetric Wess-Zumino models with an R symmetry, we
find some simple conditions on the R-charge content of the theory that imply
the presence or absence of supersymmetric and R-symmetric vacua. The main
result of this work is that the comparison between the number of R-charge 0 and
R-charge 2 superfields is essential to the properties of the model as regards
symmetry breaking. We also study possible exceptions to the Nelson-Seiberg
theorem --finding that there are supersymmetric vacua that break R symmetry in
generic models-- and the spontaneous breaking of R symmetry in
supersummetry-breaking vacua, with some insight on the Coleman-Weinberg
one-loop potential.
| hep-th | in the context of supersymmetric wesszumino models with an r symmetry we find some simple conditions on the rcharge content of the theory that imply the presence or absence of supersymmetric and rsymmetric vacua the main result of this work is that the comparison between the number of rcharge 0 and rcharge 2 superfields is essential to the properties of the model as regards symmetry breaking we also study possible exceptions to the nelsonseiberg theorem finding that there are supersymmetric vacua that break r symmetry in generic models and the spontaneous breaking of r symmetry in supersummetrybreaking vacua with some insight on the colemanweinberg oneloop potential | [['in', 'the', 'context', 'of', 'supersymmetric', 'wesszumino', 'models', 'with', 'an', 'r', 'symmetry', 'we', 'find', 'some', 'simple', 'conditions', 'on', 'the', 'rcharge', 'content', 'of', 'the', 'theory', 'that', 'imply', 'the', 'presence', 'or', 'absence', 'of', 'supersymmetric', 'and', 'rsymmetric', 'vacua', 'the', 'main', 'result', 'of', 'this', 'work', 'is', 'that', 'the', 'comparison', 'between', 'the', 'number', 'of', 'rcharge', '0', 'and', 'rcharge', '2', 'superfields', 'is', 'essential', 'to', 'the', 'properties', 'of', 'the', 'model', 'as', 'regards', 'symmetry', 'breaking', 'we', 'also', 'study', 'possible', 'exceptions', 'to', 'the', 'nelsonseiberg', 'theorem', 'finding', 'that', 'there', 'are', 'supersymmetric', 'vacua', 'that', 'break', 'r', 'symmetry', 'in', 'generic', 'models', 'and', 'the', 'spontaneous', 'breaking', 'of', 'r', 'symmetry', 'in', 'supersummetrybreaking', 'vacua', 'with', 'some', 'insight', 'on', 'the', 'colemanweinberg', 'oneloop', 'potential']] | [-0.15575769011271545, 0.14408738755908138, -0.03567346467081314, 0.10307670006407604, -0.05800081745613939, -0.17016020303484625, 0.008813514722323116, 0.32990337054854113, -0.1748915494983801, -0.29067161471847125, 0.0877718969792253, -0.2711452810595242, -0.16055947124438646, 0.06794863060349599, -0.042406134826775924, 0.001553962893712406, -0.037960239784577146, 0.024837962441289656, -0.08706448696914147, -0.24617021325796556, 0.33330067606696573, -0.0014838391664223028, 0.24479725155218218, 0.10089954289252581, 0.04204092887588418, -0.034310542545706715, 0.028196097512801107, -0.058678342880179674, -0.12768123362604036, 0.10102966425116532, 0.1756078492200966, 0.08421403973793182, 0.1306571266076599, -0.42775293942003584, -0.20268848250158883, 0.18032060313271359, 0.15304529987266646, 0.14218884522023684, -0.07738475157440497, -0.2513030629354314, 0.10502486148414811, -0.16680520445180053, -0.1807989744657579, -0.08601518085477157, 0.018905180640733585, -0.09809254147694446, -0.27164438855834305, 0.09334446923709877, 0.055044139216009244, 0.07776900547413299, -0.05457713703463714, -0.06749184567329045, -0.14063122845254838, 0.050742771330988035, 0.20427223623958596, 0.010976358932496693, 0.08492075603079194, -0.21726490840844165, -0.1344675807452474, 0.41157022200954646, -0.0332571581328431, -0.1938263486014106, 0.17838825865720326, -0.11289910398213229, -0.22738506043634304, 0.06624999984006326, 0.08105722787933281, 0.13287560848626667, -0.07763632107302189, 0.23874966677361115, -0.059468322684271976, 0.1479015076183714, 0.06173985507428789, 0.05855016458707933, 0.24694651196925685, 0.11048614693572745, 0.06949245866585094, 0.10009784122499135, 0.012315151439487146, -0.12192692189945284, -0.48451258808087844, -0.14498013684015648, -0.13182674195447291, 0.0756265004702772, -0.12478478784326469, -0.12879177541113818, 0.424886156213828, 0.18159709301723453, 0.2000463158978024, 0.07987157801667658, 0.19599536397100353, 0.08744179741188418, 0.09326489829422477, 0.0013506697275890754, 0.22033675541360237, 0.12264872633722217, 0.04249002701656606, -0.2713423708113484, -0.09331866483150336, 0.13002162302235284] |
708.2201 | A Modified Borel Summation Technique | We compare and contrast three different perturbative expansions for the
quartic anharmonic oscillator wavefunction and apply a modified Borel summation
technique to determine the energy eigenvalues. In the first two expansions this
provides the energy eigenvalues directly however in the third method we tune
the wavefunctions to achieve the correct large x behaviour. This tuning
technique allows us to determine the energy eigenvalues up to an arbitrary
level of accuracy with remarkable efficiency. We give numerical evidence to
explain this behaviour. We also refine the modified Borel summation technique
to improve its accuracy. The main sources of error are investigated with
reasonable error corrections calculated.
| quant-ph hep-th | we compare and contrast three different perturbative expansions for the quartic anharmonic oscillator wavefunction and apply a modified borel summation technique to determine the energy eigenvalues in the first two expansions this provides the energy eigenvalues directly however in the third method we tune the wavefunctions to achieve the correct large x behaviour this tuning technique allows us to determine the energy eigenvalues up to an arbitrary level of accuracy with remarkable efficiency we give numerical evidence to explain this behaviour we also refine the modified borel summation technique to improve its accuracy the main sources of error are investigated with reasonable error corrections calculated | [['we', 'compare', 'and', 'contrast', 'three', 'different', 'perturbative', 'expansions', 'for', 'the', 'quartic', 'anharmonic', 'oscillator', 'wavefunction', 'and', 'apply', 'a', 'modified', 'borel', 'summation', 'technique', 'to', 'determine', 'the', 'energy', 'eigenvalues', 'in', 'the', 'first', 'two', 'expansions', 'this', 'provides', 'the', 'energy', 'eigenvalues', 'directly', 'however', 'in', 'the', 'third', 'method', 'we', 'tune', 'the', 'wavefunctions', 'to', 'achieve', 'the', 'correct', 'large', 'x', 'behaviour', 'this', 'tuning', 'technique', 'allows', 'us', 'to', 'determine', 'the', 'energy', 'eigenvalues', 'up', 'to', 'an', 'arbitrary', 'level', 'of', 'accuracy', 'with', 'remarkable', 'efficiency', 'we', 'give', 'numerical', 'evidence', 'to', 'explain', 'this', 'behaviour', 'we', 'also', 'refine', 'the', 'modified', 'borel', 'summation', 'technique', 'to', 'improve', 'its', 'accuracy', 'the', 'main', 'sources', 'of', 'error', 'are', 'investigated', 'with', 'reasonable', 'error', 'corrections', 'calculated']] | [-0.09564846623688936, 0.03703396555959314, -0.1155021685707782, 0.1283017926283979, -0.0814450815320015, -0.11188150492629835, 0.09023623233882799, 0.36476129744024505, -0.22981459750306038, -0.3148449628879981, 0.01675765601075476, -0.26526269447294043, -0.1001284931697661, 0.19149387308529445, -0.04460257184469984, 0.08870597026211076, 0.07278363427058572, 0.0344915610250263, -0.1201141562157621, -0.2554133281466507, 0.28029574735888413, 0.08663578407306756, 0.2715243486820587, 0.10098947810142168, 0.09555741669166656, -0.03356472854502499, -0.014744330153224013, -0.0537629659509375, -0.18269788247666188, 0.15084970564625802, 0.22439567903500227, 0.03160241436922834, 0.24677293930380118, -0.37749073636673747, -0.14588226933126516, 0.11574404727933663, 0.15127573614673956, 0.12615251447118464, 0.02172461077570915, -0.2573166995353642, 0.0907843827048228, -0.20260657381177657, -0.2120998121265854, -0.18730186263897589, -0.043673540456663995, 0.03302329036052383, -0.27940706780535124, 0.08106699724476563, 0.01073770961236386, 4.452640811602275e-05, -0.04386541543339956, -0.11619446761906146, 0.04226185983889515, 0.1684342597699946, 0.04733657665728103, -0.012325705151860824, 0.07666161521116183, -0.04866240236775151, -0.10894744317934271, 0.34809010894525616, -0.0938208623035323, -0.22680551212147942, 0.14684456788624325, -0.18773096998532612, -0.1327472507199716, 0.1579108517794382, 0.15184267080788102, 0.1032174157333516, -0.12852138570465502, 0.08539571714520987, 0.06941368818238733, 0.16565131050800638, 0.09753880801034115, 0.013204681350006943, 0.11486186855694368, 0.09684179505954187, 0.02277201683748336, 0.17647098588890264, -0.06104581386649183, -0.08237912372819015, -0.3013746043401105, -0.13704744205765781, -0.1940912773921376, 0.02352691131776997, -0.1274407670342563, -0.1748822758966569, 0.42740932283479544, 0.22487948139952052, 0.2033693957408624, 0.08605851860096057, 0.294355476492395, 0.18768104283316506, 0.044205271718757495, 0.023488790745891275, 0.2628953469961527, 0.14854746606378327, 0.04450809182599187, -0.27859347853809596, -0.02738280055068788, 0.09799691914979901] |
708.2202 | Locally compact quantum groups. Radford's $S^4$ formula | Let $A$ be a finite-dimensional Hopf algebra. The left and the right
integrals on $A$ are related by means of a distinguished group-like element
$\delta$ of $A$. Similarly, there is this element $\hat\delta$ in the dual Hopf
algebra $\hat A$. Radford showed that
$$S^4(a)=\delta^{-1}(\hat\delta\triangleright a \triangleleft
\hat\delta^{-1})\delta$$ for all $a$ in $A$ where $S$ is the antipode of $A$
and where $\triangleright$ and $\triangleleft$ are used to denote the standard
left and right actions of $\hat A$ on $A$. The formula still holds for
multiplier Hopf algebras with integrals (algebraic quantum groups).
In the theory of locally compact quantum groups, an analytical form of
Radford's formula can be proven (in terms of bounded operators on a Hilbert
space).
In this talk, we do not have the intention to discuss Radford's formula as
such, but rather to use it, together with related formulas, for illustrating
various aspects of the road that takes us from the theory of Hopf algebras
(including compact quantum groups) to multiplier Hopf algebras (including
discrete quantum groups) and further to the more general theory of locally
compact quantum groups.
| math.QA math.OA | let a be a finitedimensional hopf algebra the left and the right integrals on a are related by means of a distinguished grouplike element delta of a similarly there is this element hatdelta in the dual hopf algebra hat a radford showed that s4adelta1hatdeltatriangleright a triangleleft hatdelta1delta for all a in a where s is the antipode of a and where triangleright and triangleleft are used to denote the standard left and right actions of hat a on a the formula still holds for multiplier hopf algebras with integrals algebraic quantum groups in the theory of locally compact quantum groups an analytical form of radfords formula can be proven in terms of bounded operators on a hilbert space in this talk we do not have the intention to discuss radfords formula as such but rather to use it together with related formulas for illustrating various aspects of the road that takes us from the theory of hopf algebras including compact quantum groups to multiplier hopf algebras including discrete quantum groups and further to the more general theory of locally compact quantum groups | [['let', 'a', 'be', 'a', 'finitedimensional', 'hopf', 'algebra', 'the', 'left', 'and', 'the', 'right', 'integrals', 'on', 'a', 'are', 'related', 'by', 'means', 'of', 'a', 'distinguished', 'grouplike', 'element', 'delta', 'of', 'a', 'similarly', 'there', 'is', 'this', 'element', 'hatdelta', 'in', 'the', 'dual', 'hopf', 'algebra', 'hat', 'a', 'radford', 'showed', 'that', 's4adelta1hatdeltatriangleright', 'a', 'triangleleft', 'hatdelta1delta', 'for', 'all', 'a', 'in', 'a', 'where', 's', 'is', 'the', 'antipode', 'of', 'a', 'and', 'where', 'triangleright', 'and', 'triangleleft', 'are', 'used', 'to', 'denote', 'the', 'standard', 'left', 'and', 'right', 'actions', 'of', 'hat', 'a', 'on', 'a', 'the', 'formula', 'still', 'holds', 'for', 'multiplier', 'hopf', 'algebras', 'with', 'integrals', 'algebraic', 'quantum', 'groups', 'in', 'the', 'theory', 'of', 'locally', 'compact', 'quantum', 'groups', 'an', 'analytical', 'form', 'of', 'radfords', 'formula', 'can', 'be', 'proven', 'in', 'terms', 'of', 'bounded', 'operators', 'on', 'a', 'hilbert', 'space', 'in', 'this', 'talk', 'we', 'do', 'not', 'have', 'the', 'intention', 'to', 'discuss', 'radfords', 'formula', 'as', 'such', 'but', 'rather', 'to', 'use', 'it', 'together', 'with', 'related', 'formulas', 'for', 'illustrating', 'various', 'aspects', 'of', 'the', 'road', 'that', 'takes', 'us', 'from', 'the', 'theory', 'of', 'hopf', 'algebras', 'including', 'compact', 'quantum', 'groups', 'to', 'multiplier', 'hopf', 'algebras', 'including', 'discrete', 'quantum', 'groups', 'and', 'further', 'to', 'the', 'more', 'general', 'theory', 'of', 'locally', 'compact', 'quantum', 'groups']] | [-0.1316644344971994, 0.11320373484575409, -0.10722752215030293, 0.06756839632677535, -0.12116514410202701, -0.1543565937809439, 0.008958099647295764, 0.3360133746328453, -0.31582678434852923, -0.1676641784504884, 0.1404565451501791, -0.2538411906713413, -0.15111202501898838, 0.25366075833444485, -0.13604952756068087, -0.047401513728416625, 0.024291682921143042, 0.15093628807614248, -0.11748684196112057, -0.22133097688072464, 0.36451460612265185, -0.03304393493453972, 0.17855390085735254, 0.03888727658583472, 0.11147958386637684, 0.002808189273087515, -0.02000320867066168, 0.016744212198116455, -0.14071535598785784, 0.11595586036758808, 0.30609064207205344, 0.0635698729272311, 0.2519357284841438, -0.3965236629721605, -0.12400720776576135, 0.13908518261612496, 0.15087249845188733, 0.023468488346164426, -0.03717856188280469, -0.31649348380871944, 0.11238863937194563, -0.23335168338898155, -0.1064725215624397, -0.07722425575290497, 0.07053451805065075, -0.017758280695933434, -0.2747494553008841, 0.01519327288131333, 0.07825429789825446, 0.08915097751240764, -0.03645145717827189, -0.06840515477039541, -0.047218359991933946, 0.12095203838673317, -0.06879828216818472, 0.03967045828855286, 0.09238480928147005, -0.11045739668059266, -0.16168538613451852, 0.3864927154034376, -0.019773702404604087, -0.24693625812004838, 0.12993866725527267, -0.17828181608735275, -0.15385136413646655, 0.04891694534130187, 0.06373758174724774, 0.15122646340169013, -0.06656421775939331, 0.19883013982164105, -0.10273228034687538, 0.05445502312440011, 0.06238204646441672, 0.022294844561838546, 0.14044143129592865, 0.06668538480169243, 0.07541803909051749, 0.11094089823179981, 0.04626676366315223, -0.07516562845299227, -0.3572163370127479, -0.21612176094462887, -0.10252471616840922, 0.1288682757943914, -0.08380347114313433, -0.2038155622741518, 0.408287023650741, 0.08529509902259128, 0.17624547531207402, 0.07073175070755598, 0.19913074977294956, 0.11151408786536195, 0.10901697210113828, 0.0505660419119522, 0.11500109688689311, 0.2495875094150607, -0.005442512123328116, -0.14164663607694417, -0.03029528678291374, 0.19386582450913717] |
708.2203 | Earthquake Networks, Complex | An article for the Springer Encyclopedia of Complexity and System Science
| physics.geo-ph physics.soc-ph | an article for the springer encyclopedia of complexity and system science | [['an', 'article', 'for', 'the', 'springer', 'encyclopedia', 'of', 'complexity', 'and', 'system', 'science']] | [-0.11437669565731828, -0.02466757903378245, -0.06745350473052399, -0.05634508485143835, -0.0648129480806264, -0.02582298998128284, -0.03581696291538802, 0.17664538662541995, -0.3992205770178275, -0.43649452907795255, 0.13574211451817642, -0.3077561523426663, -0.2697455883026123, 0.2723060373894193, -0.23739232749424197, 0.009919294240799818, 0.10228730094703761, 0.04723702089607038, 0.048327431082725525, -0.4066624853082679, 0.31873312118378555, 0.14202046258883042, 0.26656588674946263, -0.022786382247101177, 0.09460260312665593, 0.044798338510604066, -0.05660225061530417, -0.056404110552235084, -0.1851736605167389, 0.26980471915819426, 0.4433516612784429, 0.27331736480647867, 0.31403255090117455, -0.38366191360083496, -0.013386323963376608, 0.09639332951469855, 0.1685770529914986, 0.12837280502373521, 0.020059553821655838, -0.2863555168733001, -0.05609389191324061, -0.2208417352627624, -0.08373343673619357, 0.01607669974592599, 0.21762033416466278, 0.008359785276380453, -0.15494089751419696, -0.07654057358476249, 0.032510784369978035, 0.3043925437060269, -0.04876434938474135, -0.15243639529217035, 0.06509093872525475, 0.17510934038595719, -0.04343735206533562, 0.04742734350094741, -0.018763819116760384, -0.1731716072694822, -0.2473223717375235, 0.4335960474881259, 0.02475239719602872, -0.023368067023429005, 0.17995598742907698, -0.02153603309257464, -0.23001389781182463, 0.09784931215372952, 0.25174467418004165, 0.03797498785636642, -0.12385755514895375, 0.12144547971283001, -0.057789700613780456, 0.27096567099744623, 0.07993039344860749, 0.0638745692981915, 0.12663288109681822, 0.20579048872671343, 0.020936310121958904, 0.11147801374847238, 0.06862383454360745, -0.04258570405231281, -0.31169353967363184, -0.38753957233645697, -0.2620524963871999, -0.0010597780346870422, -0.003200446338847872, -0.1638557074422186, 0.38027186928824946, 0.12258964641527696, -0.028679259798743507, 0.05869225239042531, 0.1480634016069499, 0.037381640042770996, -0.16234156574037942, 0.0709950052709742, 0.08903624726967378, 0.13443639112467115, 0.2534656179222194, -0.13311537964777512, -0.02537834538485516, 0.09299110892144116] |
708.2204 | Integral-Field Spectroscopy of the Post Red Supergiant IRC +10420:
evidence for an axi-symmetric wind | We present NAOMI/OASIS adaptive-optics assisted integral-field spectroscopy
of the transitional massive hypergiant IRC +10420, an extreme mass-losing star
apparently in the process of evolving from a Red Supergiant toward the
Wolf-Rayet phase. To investigate the present-day mass-loss geometry of the
star, we study the appearance of the line-emission from the inner wind as
viewed when reflected off the surrounding nebula. We find that, contrary to
previous work, there is strong evidence for wind axi-symmetry, based on the
equivalent-width and velocity variations of H$\alpha$ and Fe {\sc ii}
$\lambda$6516. We attribute this behaviour to the appearance of the complex
line-profiles when viewed from different angles. We also speculate that the Ti
{\sc ii} emission originates in the outer nebula in a region analogous to the
Strontium Filament of $\eta$ Carinae, based on the morphology of the
line-emission. Finally, we suggest that the present-day axisymmetric wind of
IRC +10420, combined with its continued blueward evolution, is evidence that
the star is evolving toward the B[e] supergiant phase.
| astro-ph | we present naomioasis adaptiveoptics assisted integralfield spectroscopy of the transitional massive hypergiant irc 10420 an extreme masslosing star apparently in the process of evolving from a red supergiant toward the wolfrayet phase to investigate the presentday massloss geometry of the star we study the appearance of the lineemission from the inner wind as viewed when reflected off the surrounding nebula we find that contrary to previous work there is strong evidence for wind axisymmetry based on the equivalentwidth and velocity variations of halpha and fe sc ii lambda6516 we attribute this behaviour to the appearance of the complex lineprofiles when viewed from different angles we also speculate that the ti sc ii emission originates in the outer nebula in a region analogous to the strontium filament of eta carinae based on the morphology of the lineemission finally we suggest that the presentday axisymmetric wind of irc 10420 combined with its continued blueward evolution is evidence that the star is evolving toward the be supergiant phase | [['we', 'present', 'naomioasis', 'adaptiveoptics', 'assisted', 'integralfield', 'spectroscopy', 'of', 'the', 'transitional', 'massive', 'hypergiant', 'irc', '10420', 'an', 'extreme', 'masslosing', 'star', 'apparently', 'in', 'the', 'process', 'of', 'evolving', 'from', 'a', 'red', 'supergiant', 'toward', 'the', 'wolfrayet', 'phase', 'to', 'investigate', 'the', 'presentday', 'massloss', 'geometry', 'of', 'the', 'star', 'we', 'study', 'the', 'appearance', 'of', 'the', 'lineemission', 'from', 'the', 'inner', 'wind', 'as', 'viewed', 'when', 'reflected', 'off', 'the', 'surrounding', 'nebula', 'we', 'find', 'that', 'contrary', 'to', 'previous', 'work', 'there', 'is', 'strong', 'evidence', 'for', 'wind', 'axisymmetry', 'based', 'on', 'the', 'equivalentwidth', 'and', 'velocity', 'variations', 'of', 'halpha', 'and', 'fe', 'sc', 'ii', 'lambda6516', 'we', 'attribute', 'this', 'behaviour', 'to', 'the', 'appearance', 'of', 'the', 'complex', 'lineprofiles', 'when', 'viewed', 'from', 'different', 'angles', 'we', 'also', 'speculate', 'that', 'the', 'ti', 'sc', 'ii', 'emission', 'originates', 'in', 'the', 'outer', 'nebula', 'in', 'a', 'region', 'analogous', 'to', 'the', 'strontium', 'filament', 'of', 'eta', 'carinae', 'based', 'on', 'the', 'morphology', 'of', 'the', 'lineemission', 'finally', 'we', 'suggest', 'that', 'the', 'presentday', 'axisymmetric', 'wind', 'of', 'irc', '10420', 'combined', 'with', 'its', 'continued', 'blueward', 'evolution', 'is', 'evidence', 'that', 'the', 'star', 'is', 'evolving', 'toward', 'the', 'be', 'supergiant', 'phase']] | [-0.08276622023353455, 0.08668304398804803, -0.08551034514555884, 0.05416986881082378, -0.10386263850563565, -0.07136477936527755, 0.06047553293538377, 0.4456437089097646, -0.17923752243339192, -0.27020965702688904, 0.07214284641168257, -0.26112733492227785, -0.11008043898458084, 0.15749850013704708, -0.07674677811717998, -0.10009257146907238, 0.09487543749891542, -0.0714469750874613, -0.061080282861852526, -0.157782935073165, 0.3528295651169642, 0.059569961911330196, 0.15300488856084005, -0.029827811710245084, 0.03242046499990521, -0.09896617878137008, -0.033548968905180214, -0.03354258169534336, -0.13959459153213252, 0.05539564897757641, 0.17345846144973867, 0.14849266042933582, 0.19368353688091675, -0.38638809506718547, -0.21279692196142946, 0.03281886773926714, 0.23769412543396093, 0.026521164798206348, -0.07043056581826435, -0.28366864091528154, 0.03242655373656939, -0.18054952313323602, -0.20815861417392006, 0.10596669965817884, 0.03631811621927433, 0.02993034632973647, -0.23190220387115434, 0.08055768231843438, 0.04039802946981637, 0.1133277878276661, -0.1265470696551771, -0.08066745996160969, -0.1062443452198744, 0.06216551981647813, 0.05165476353244108, 0.08043989413446444, 0.1429360171821414, -0.15644729827484974, -0.005267450345988654, 0.3782073290214411, -0.09704313715641312, 0.03906401693592408, 0.24158918024812098, -0.23007642799428452, -0.17340795940039622, 0.1823961986114551, 0.12645182565734522, 0.1375278333084875, -0.10364863539112452, -0.021918900701663017, -0.04809341057449396, 0.1818162564422501, 0.018488401161403926, 0.06415075562505818, 0.31682041965630703, 0.13183107264511332, -0.006671966739181726, 0.1817213747346134, -0.2770740842029589, -0.09796029858096886, -0.22779136733294814, -0.14456246601863323, -0.0951287637984643, 0.08446520391388859, -0.12531637222962483, -0.15935892655737013, 0.3066272396862827, 0.1191481731173531, 0.23215961002636176, -0.03475024382815199, 0.31423778190888874, 0.1084532440901431, 0.0679209984987517, 0.1311550667235182, 0.32855210928646333, 0.1706317619797688, 0.1595894871222461, -0.3113286621751481, 0.10097944273961926, 0.019395967506934987] |
708.2205 | Axisymmetric orbit models of N-body merger remnants: a dependency of
reconstructed mass on viewing angle | We model mock observations of collisionless N-body disc-disc mergers with an
axisymmetric orbit superposition program that has been used to model Coma
ellipticals. The remnants sample representatively the shapes of disc-disc
mergers including prolate, triaxial and oblate objects. The aim is to better
understand how the assumption of axial symmetry affects reconstructed masses
and stellar motions of systems which are intrinsically not axisymmetric,
whether it leads to a bias and how such a potential bias can be recognised in
models of real galaxies. The mass recovery at the half-light radius depends on
viewing-angle and intrinsic shape: edge-on views allow to reconstruct total
masses with an accuracy between 20% (triaxial/prolate remnants) and 3% (oblate
remnant). Masses of highly flattened, face-on systems are underestimated by up
to 50%. Deviations in local mass densities can be larger where remnants are
strongly triaxial or prolate. Luminous M/L are sensitive to box orbits in the
remnants. Box orbits cause the central kinematics to vary with viewing-angle.
Reconstructed luminous M/L and central masses follow this variation. Luminous
M/L are always underestimated (up to a factor of 2.5). Respective dark halos in
the models can be overestimated by about the same amount, depending again on
viewing angle. Reconstructed velocity anisotropies depend on viewing angle and
on the orbital composition of the remnant. We construct N-body realisations of
the Schwarzschild models to discuss chaotic orbits and the virial equilibrium
in our models. Apparently flattened, rotating ellipticals of intermediate mass
are likely close to both, axial symmetry and edge-on orientation. Our results
imply that Schwarzschild models allow a reconstruction of their masses and
stellar anisotropies with high accuracy. (abridged)
| astro-ph | we model mock observations of collisionless nbody discdisc mergers with an axisymmetric orbit superposition program that has been used to model coma ellipticals the remnants sample representatively the shapes of discdisc mergers including prolate triaxial and oblate objects the aim is to better understand how the assumption of axial symmetry affects reconstructed masses and stellar motions of systems which are intrinsically not axisymmetric whether it leads to a bias and how such a potential bias can be recognised in models of real galaxies the mass recovery at the halflight radius depends on viewingangle and intrinsic shape edgeon views allow to reconstruct total masses with an accuracy between 20 triaxialprolate remnants and 3 oblate remnant masses of highly flattened faceon systems are underestimated by up to 50 deviations in local mass densities can be larger where remnants are strongly triaxial or prolate luminous ml are sensitive to box orbits in the remnants box orbits cause the central kinematics to vary with viewingangle reconstructed luminous ml and central masses follow this variation luminous ml are always underestimated up to a factor of 25 respective dark halos in the models can be overestimated by about the same amount depending again on viewing angle reconstructed velocity anisotropies depend on viewing angle and on the orbital composition of the remnant we construct nbody realisations of the schwarzschild models to discuss chaotic orbits and the virial equilibrium in our models apparently flattened rotating ellipticals of intermediate mass are likely close to both axial symmetry and edgeon orientation our results imply that schwarzschild models allow a reconstruction of their masses and stellar anisotropies with high accuracy abridged | [['we', 'model', 'mock', 'observations', 'of', 'collisionless', 'nbody', 'discdisc', 'mergers', 'with', 'an', 'axisymmetric', 'orbit', 'superposition', 'program', 'that', 'has', 'been', 'used', 'to', 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708.2206 | Role of electrostatics in the texture of islands in free standing
ferroelectric liquid crystal films | Curved textures of ferroelectric smectic C* liquid crystals produce space
charge when they involve divergence of the spontaneous polarization field.
Impurity ions can partially screen this space charge, reducing long range
interactions to local ones. Through studies of the textures of islands on very
thin free-standing smectic films, we see evidence of this effect, in which
materials with a large spontaneous polarization have static structures
described by a large effective bend elastic constant. To address this issue, we
calculated the electrostatic free energy of a free standing film of
ferroelectric liquid crystal, showing how the screened coulomb interaction
contributes a term to the effective bend elastic constant, in the static long
wavelength limit. We report experiments which support the main features of this
model.
| cond-mat.soft | curved textures of ferroelectric smectic c liquid crystals produce space charge when they involve divergence of the spontaneous polarization field impurity ions can partially screen this space charge reducing long range interactions to local ones through studies of the textures of islands on very thin freestanding smectic films we see evidence of this effect in which materials with a large spontaneous polarization have static structures described by a large effective bend elastic constant to address this issue we calculated the electrostatic free energy of a free standing film of ferroelectric liquid crystal showing how the screened coulomb interaction contributes a term to the effective bend elastic constant in the static long wavelength limit we report experiments which support the main features of this model | [['curved', 'textures', 'of', 'ferroelectric', 'smectic', 'c', 'liquid', 'crystals', 'produce', 'space', 'charge', 'when', 'they', 'involve', 'divergence', 'of', 'the', 'spontaneous', 'polarization', 'field', 'impurity', 'ions', 'can', 'partially', 'screen', 'this', 'space', 'charge', 'reducing', 'long', 'range', 'interactions', 'to', 'local', 'ones', 'through', 'studies', 'of', 'the', 'textures', 'of', 'islands', 'on', 'very', 'thin', 'freestanding', 'smectic', 'films', 'we', 'see', 'evidence', 'of', 'this', 'effect', 'in', 'which', 'materials', 'with', 'a', 'large', 'spontaneous', 'polarization', 'have', 'static', 'structures', 'described', 'by', 'a', 'large', 'effective', 'bend', 'elastic', 'constant', 'to', 'address', 'this', 'issue', 'we', 'calculated', 'the', 'electrostatic', 'free', 'energy', 'of', 'a', 'free', 'standing', 'film', 'of', 'ferroelectric', 'liquid', 'crystal', 'showing', 'how', 'the', 'screened', 'coulomb', 'interaction', 'contributes', 'a', 'term', 'to', 'the', 'effective', 'bend', 'elastic', 'constant', 'in', 'the', 'static', 'long', 'wavelength', 'limit', 'we', 'report', 'experiments', 'which', 'support', 'the', 'main', 'features', 'of', 'this', 'model']] | [-0.1662281089755256, 0.2448801871223916, -0.03328256616828918, 0.04126775345479649, -0.06835809175015217, -0.13370237361466994, 0.047823388722815344, 0.4171842704376867, -0.28895979083233303, -0.29714713364298784, 0.02043864183736244, -0.27521553484632844, -0.11138960137031972, 0.09165114891197111, 0.02768105756483912, 0.020696731661671713, -0.02535969837598743, -0.09969678966163267, -0.060320279077484065, -0.17675272250668175, 0.264346610807303, 0.036825945683484594, 0.3308243988262069, 0.12196915826549934, 0.08699552835746398, 0.01733568435977964, 0.07006338095262406, 0.0679243641840707, -0.16298682749789628, 0.07368833945140303, 0.25530434152038184, -0.10734439520315538, 0.1944458416828345, -0.506983456592406, -0.24441751673622358, 0.03891588986716083, 0.1241671075939291, 0.19421935749743435, -0.07729820717002205, -0.2567662123004876, 0.02934108723345543, -0.14065996506401607, -0.1598029099217045, -0.09165648314651222, 0.01686383688150184, 0.016307425534544184, -0.20038011800281838, 0.09307328465670693, 0.0791235199731384, 0.05174986372942165, -0.1184119753682265, -0.0805949532847491, -0.026339845521555792, 0.05893410653211064, 0.1204989435096767, 0.06400182915122939, 0.20469644491846162, -0.14674653270987853, -0.08343693363337568, 0.37489035450703195, -0.08073474564063814, -0.17999366165754654, 0.14178858593016141, -0.18712647669693275, -0.03274489391685253, 0.20399755002525186, 0.14879011916655732, 0.135977920332563, -0.10690580916672197, 0.09302877498075465, -0.021503925759104953, 0.2177200884954448, 0.08959325349461587, 0.033880172072038535, 0.2786295758710513, 0.207717876920792, 0.010512206119470178, 0.16903540100001038, -0.09127047034769109, -0.04126325536203841, -0.2639979298016237, -0.15776547540595093, -0.17914167782216664, 0.038671207197401074, -0.09605185198409844, -0.26161369138243307, 0.3810294000913047, 0.09871357341011565, 0.1501171983883626, -0.044598054654347984, 0.23455630426084803, 0.019869829227607095, 0.11440125781941347, -0.004023073291576903, 0.2966493894458718, 0.1054862959464381, 0.13952753071932802, -0.24978520775649457, 0.040131554428127506, 0.00919894848935186] |
708.2207 | Statistical inferences for functional data | With modern technology development, functional data are being observed
frequently in many scientific fields. A popular method for analyzing such
functional data is ``smoothing first, then estimation.'' That is, statistical
inference such as estimation and hypothesis testing about functional data is
conducted based on the substitution of the underlying individual functions by
their reconstructions obtained by one smoothing technique or another. However,
little is known about this substitution effect on functional data analysis. In
this paper this problem is investigated when the local polynomial kernel (LPK)
smoothing technique is used for individual function reconstructions. We find
that under some mild conditions, the substitution effect can be ignored
asymptotically. Based on this, we construct LPK reconstruction-based estimators
for the mean, covariance and noise variance functions of a functional data set
and derive their asymptotics. We also propose a GCV rule for selecting good
bandwidths for the LPK reconstructions. When the mean function also depends on
some time-independent covariates, we consider a functional linear model where
the mean function is linearly related to the covariates but the covariate
effects are functions of time. The LPK reconstruction-based estimators for the
covariate effects and the covariance function are also constructed and their
asymptotics are derived. Moreover, we propose a $L^2$-norm-based global test
statistic for a general hypothesis testing problem about the covariate effects
and derive its asymptotic random expression. The effect of the bandwidths
selected by the proposed GCV rule on the accuracy of the LPK reconstructions
and the mean function estimator is investigated via a simulation study. The
proposed methodologies are illustrated via an application to a real functional
data set collected in climatology.
| math.ST stat.TH | with modern technology development functional data are being observed frequently in many scientific fields a popular method for analyzing such functional data is smoothing first then estimation that is statistical inference such as estimation and hypothesis testing about functional data is conducted based on the substitution of the underlying individual functions by their reconstructions obtained by one smoothing technique or another however little is known about this substitution effect on functional data analysis in this paper this problem is investigated when the local polynomial kernel lpk smoothing technique is used for individual function reconstructions we find that under some mild conditions the substitution effect can be ignored asymptotically based on this we construct lpk reconstructionbased estimators for the mean covariance and noise variance functions of a functional data set and derive their asymptotics we also propose a gcv rule for selecting good bandwidths for the lpk reconstructions when the mean function also depends on some timeindependent covariates we consider a functional linear model where the mean function is linearly related to the covariates but the covariate effects are functions of time the lpk reconstructionbased estimators for the covariate effects and the covariance function are also constructed and their asymptotics are derived moreover we propose a l2normbased global test statistic for a general hypothesis testing problem about the covariate effects and derive its asymptotic random expression the effect of the bandwidths selected by the proposed gcv rule on the accuracy of the lpk reconstructions and the mean function estimator is investigated via a simulation study the proposed methodologies are illustrated via an application to a real functional data set collected in climatology | [['with', 'modern', 'technology', 'development', 'functional', 'data', 'are', 'being', 'observed', 'frequently', 'in', 'many', 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708.2208 | Wrapping interactions at strong coupling -- the giant magnon | We derive generalized Luscher formulas for finite size corrections in a
theory with a general dispersion relation. For the AdS_5xS^5 superstring these
formulas encode leading wrapping interaction effects. We apply the generalized
mu-term formula to calculate finite size corrections to the dispersion relation
of the giant magnon at strong coupling. The result exactly agrees with the
classical string computation of Arutyunov, Frolov and Zamaklar. The agreement
involved a Borel resummation of all even loop-orders of the BES/BHL dressing
factor thus providing a strong consistency check for the choice of the dressing
factor.
| hep-th | we derive generalized luscher formulas for finite size corrections in a theory with a general dispersion relation for the ads_5xs5 superstring these formulas encode leading wrapping interaction effects we apply the generalized muterm formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling the result exactly agrees with the classical string computation of arutyunov frolov and zamaklar the agreement involved a borel resummation of all even looporders of the besbhl dressing factor thus providing a strong consistency check for the choice of the dressing factor | [['we', 'derive', 'generalized', 'luscher', 'formulas', 'for', 'finite', 'size', 'corrections', 'in', 'a', 'theory', 'with', 'a', 'general', 'dispersion', 'relation', 'for', 'the', 'ads_5xs5', 'superstring', 'these', 'formulas', 'encode', 'leading', 'wrapping', 'interaction', 'effects', 'we', 'apply', 'the', 'generalized', 'muterm', 'formula', 'to', 'calculate', 'finite', 'size', 'corrections', 'to', 'the', 'dispersion', 'relation', 'of', 'the', 'giant', 'magnon', 'at', 'strong', 'coupling', 'the', 'result', 'exactly', 'agrees', 'with', 'the', 'classical', 'string', 'computation', 'of', 'arutyunov', 'frolov', 'and', 'zamaklar', 'the', 'agreement', 'involved', 'a', 'borel', 'resummation', 'of', 'all', 'even', 'looporders', 'of', 'the', 'besbhl', 'dressing', 'factor', 'thus', 'providing', 'a', 'strong', 'consistency', 'check', 'for', 'the', 'choice', 'of', 'the', 'dressing', 'factor']] | [-0.15231286439082617, 0.12382003303187397, -0.09396910759016544, 0.17067128844088414, -0.10513687782132855, -0.12686773119391975, 0.06689498328301892, 0.26295158926111, -0.19310136805390837, -0.25983048726262137, 0.009716585815812532, -0.2747370911107122, -0.09308426514022299, 0.16899839661513957, 0.002147299377631478, 0.028926063850931414, 0.011044561696637954, 0.03012601713967192, -0.12782230253003865, -0.21985866923069397, 0.30428722198888825, 0.022563223739840335, 0.2856508465790814, 0.12033877959526093, 0.09420212093423438, 0.0454846823403796, -0.026391891885426018, 0.013821582732067168, -0.17991608410950874, 0.11210353753099647, 0.2022035631899988, 0.018588463637650342, 0.15128648410561485, -0.3741041196735351, -0.14615293358872225, 0.038740526183743726, 0.1583517743581599, 0.18563405020101056, 0.01237577847256274, -0.22890149058446616, 0.04937043207170503, -0.23565031153375057, -0.2361048075094164, -0.10016868133507259, 0.03925668279151688, -0.036379896851440705, -0.27482701135942567, 0.07449591058500848, 0.03975417708868038, 0.010314595650185596, -0.007363403569088205, -0.09273098717612512, -0.001697798338872227, 0.13101243939005083, 0.06011927649788149, 0.0449806144665722, 0.06209601994071688, -0.14701072830747772, -0.10279221683075386, 0.3740745471319655, -0.09959284209001523, -0.17834339005319955, 0.07692499951060329, -0.15468908447495938, -0.15739331005530044, 0.10647150740068365, 0.07558086582019434, 0.09804305177457646, -0.11869186382474643, 0.17875836540850207, -0.009053091461652542, 0.12453249331492071, 0.15952067465040382, 0.06818151866732827, 0.17844281060580205, 0.07087559972961362, -0.03178191071396673, 0.16419595264021183, -0.022526413616775483, -0.11063481417259427, -0.3944567865461807, -0.07774783857166767, -0.11663616370987966, 0.08814119351618402, -0.2062829453394183, -0.22525417520204088, 0.31189542409585236, 0.11992468596832663, 0.17564161859739286, 0.16654841108554666, 0.24999895847177359, 0.2108953831420577, 0.12002579321199516, 0.04750805205900918, 0.22781816807544822, 0.23398820402939896, -0.011874338233290793, -0.33579168305476453, -0.019321653331824385, 0.18086585592335233] |
708.2209 | Extremality conditions for isolated and dynamical horizons | A maximally rotating Kerr black hole is said to be extremal. In this paper we
introduce the corresponding restrictions for isolated and dynamical horizons.
These reduce to the standard notions for Kerr but in general do not require the
horizon to be either stationary or rotationally symmetric. We consider physical
implications and applications of these results. In particular we introduce a
parameter e which characterizes how close a horizon is to extremality and
should be calculable in numerical simulations.
| gr-qc | a maximally rotating kerr black hole is said to be extremal in this paper we introduce the corresponding restrictions for isolated and dynamical horizons these reduce to the standard notions for kerr but in general do not require the horizon to be either stationary or rotationally symmetric we consider physical implications and applications of these results in particular we introduce a parameter e which characterizes how close a horizon is to extremality and should be calculable in numerical simulations | [['a', 'maximally', 'rotating', 'kerr', 'black', 'hole', 'is', 'said', 'to', 'be', 'extremal', 'in', 'this', 'paper', 'we', 'introduce', 'the', 'corresponding', 'restrictions', 'for', 'isolated', 'and', 'dynamical', 'horizons', 'these', 'reduce', 'to', 'the', 'standard', 'notions', 'for', 'kerr', 'but', 'in', 'general', 'do', 'not', 'require', 'the', 'horizon', 'to', 'be', 'either', 'stationary', 'or', 'rotationally', 'symmetric', 'we', 'consider', 'physical', 'implications', 'and', 'applications', 'of', 'these', 'results', 'in', 'particular', 'we', 'introduce', 'a', 'parameter', 'e', 'which', 'characterizes', 'how', 'close', 'a', 'horizon', 'is', 'to', 'extremality', 'and', 'should', 'be', 'calculable', 'in', 'numerical', 'simulations']] | [-0.11186713887720451, 0.12387842470278987, -0.08716992181548967, 0.11202275440173483, -0.12074959970704174, -0.15669235866664188, -0.00032868487259396647, 0.3570430237988505, -0.22198865421210665, -0.23443365705352795, 0.16883222353821503, -0.2670190803518024, -0.12773192498561797, 0.1876375830564294, -0.14260756862025614, 0.057751333576780334, 0.008313271093264789, 0.04908188611646242, -0.12891944740674918, -0.20767426567116776, 0.3852039721523282, 0.041976176803530774, 0.19396635860534786, 0.05286554655626039, 0.05440668714574621, 0.0018713667523115873, 0.018308208573055512, 0.10443500644539165, -0.2027585695886725, 0.0719212936826899, 0.2653257975095435, 0.13095233900637565, 0.23130520619452, -0.41653822558118575, -0.19503091547425977, 0.1808614169212082, 0.1517671010386246, 0.16155016026606994, -0.06724060959878224, -0.24713052384838274, 0.13366690035496803, -0.20255392097832658, -0.17063474826679764, -0.11375988103873745, 0.03403269981706067, -0.020399454297332822, -0.2737875924198122, 0.07667305375909127, 0.10012125013259097, -0.04789687636532361, -0.06751685565679416, 0.018577909570104807, -0.006845405549282515, 0.08361675245304226, 0.06493440892730097, -0.017373231622755905, 0.13086946610408492, -0.054741936986322834, -0.14048591032889496, 0.37540912775534996, -0.020557352334343464, -0.2883792847300632, 0.1906710099900448, -0.2264595779979342, -0.1141726714116816, 0.06507439170433563, 0.20732189663626913, 0.19987485510638997, -0.14438155618838117, 0.11835998763356806, -0.021419976763884078, 0.1451653800020584, 0.09967873873825692, 0.06823698281313446, 0.3173968124238751, 0.08140572019899854, 0.06293218749386695, 0.15957395441069774, -0.03206176406857145, -0.11501357942536662, -0.33479060355243806, -0.15164182560453546, -0.1327034507206158, 0.12925449091240415, -0.09576236043376642, -0.18291354500040224, 0.3286523518824502, 0.1579883615663157, 0.19437975990527037, 0.02926467615621801, 0.2256551223889559, 0.11057907891094307, 0.02510891812323015, 0.13941091282552556, 0.3209304192539635, 0.0649809620307782, 0.07270086490655248, -0.18146900680576322, -0.011161380877741907, 0.03553877225074964] |
708.221 | Intersection theory from duality and replica | Kontsevich's work on Airy matrix integrals has led to explicit results for
the intersection numbers of the moduli space of curves. In this article we show
that a duality between k-point functions on $N\times N$ matrices and N-point
functions of $k\times k$ matrices, plus the replica method, familiar in the
theory of disordered systems, allows one to recover Kontsevich's results on the
intersection numbers, and to generalize them to other models. This provides an
alternative and simple way to compute intersection numbers with one marked
point, and leads also to some new results.
| hep-th math-ph math.MP | kontsevichs work on airy matrix integrals has led to explicit results for the intersection numbers of the moduli space of curves in this article we show that a duality between kpoint functions on ntimes n matrices and npoint functions of ktimes k matrices plus the replica method familiar in the theory of disordered systems allows one to recover kontsevichs results on the intersection numbers and to generalize them to other models this provides an alternative and simple way to compute intersection numbers with one marked point and leads also to some new results | [['kontsevichs', 'work', 'on', 'airy', 'matrix', 'integrals', 'has', 'led', 'to', 'explicit', 'results', 'for', 'the', 'intersection', 'numbers', 'of', 'the', 'moduli', 'space', 'of', 'curves', 'in', 'this', 'article', 'we', 'show', 'that', 'a', 'duality', 'between', 'kpoint', 'functions', 'on', 'ntimes', 'n', 'matrices', 'and', 'npoint', 'functions', 'of', 'ktimes', 'k', 'matrices', 'plus', 'the', 'replica', 'method', 'familiar', 'in', 'the', 'theory', 'of', 'disordered', 'systems', 'allows', 'one', 'to', 'recover', 'kontsevichs', 'results', 'on', 'the', 'intersection', 'numbers', 'and', 'to', 'generalize', 'them', 'to', 'other', 'models', 'this', 'provides', 'an', 'alternative', 'and', 'simple', 'way', 'to', 'compute', 'intersection', 'numbers', 'with', 'one', 'marked', 'point', 'and', 'leads', 'also', 'to', 'some', 'new', 'results']] | [-0.1572259612461572, 0.08249767256981408, -0.1313623614954732, 0.06759301732013863, -0.07170845454017963, -0.1083102200670989, 0.06707899147264099, 0.3483211794087002, -0.2645491524349137, -0.24996895572453517, 0.04320351485543514, -0.2886478705608639, -0.2298023430154889, 0.20327283506111432, -0.09226128439949725, 0.042610191750109834, 0.026472670847289666, 0.02323045910045665, -0.1283390986663039, -0.2745062479328725, 0.3699362523458217, -0.018536091952394414, 0.24268129563099275, 0.065216627625388, 0.09706620099423553, 0.050194607719638816, -0.017931139717499416, -0.03987342066172841, -0.1266500035089457, 0.17654152785588095, 0.27344453968884586, 0.1031658367794608, 0.16800670696282258, -0.45020174235105515, -0.14073095380538894, 0.14831050995096404, 0.12286703798153828, 0.07326364439100988, 0.014305804416747583, -0.21532311697580642, 0.087497660139155, -0.14130091061565264, -0.21338132787896422, -0.12751923316478808, 0.03273111348471013, 0.001520438840793025, -0.28574910321302954, -0.01404825987836336, 0.04173510058993293, 0.03388408323629729, -0.009971723817313911, -0.15015261537415447, 0.011643285707881054, 0.09153154707183281, 0.035795285396518245, 0.037712579708225946, 0.03883964227392308, -0.07943211524166487, -0.15025248624990264, 0.34493268203611177, -0.02828219105985256, -0.21850212895742027, 0.18534516943718798, -0.15344893544792168, -0.14955594107228262, 0.11786856451222012, 0.136651492677629, 0.1358873868881855, -0.05526589011392927, 0.12843782629226885, -0.10172918429898639, 0.09575351069947975, 0.07597717923182314, 0.012306941638109825, 0.1436844408131575, 0.04191236947012204, 0.09670732865205175, 0.17810802316851412, -0.010375667624087924, -0.13446092272117252, -0.3086444783595301, -0.18353797436281238, -0.19082142988480227, 0.08727103870822697, -0.1377743302477694, -0.18961910241513805, 0.39535029157896034, 0.13856189464774704, 0.24896441780591524, 0.12866086619079956, 0.2667992047124332, 0.08729770122676768, 0.060970936290999894, 0.024170272082330718, 0.10063443572907609, 0.21348439189054633, 0.050517529344326385, -0.11854157958840651, -0.03976139381167389, 0.18265732671684956] |
708.2211 | Optical characterization of GaN by N+ implantation into GaAs at elevated
temperature | Both hexagonal wurtzite and cubic zinc blend GaN phases were synthesized in
GaAs by 50 keV N+ implantation at 400 deg C and subsequent annealing at 900 deg
C for 15 min in N2 ambient. Crystallographic structural and Raman scattering
studies revealed that GaN phases were grown for fluence above 2x1017 cm-2.
Temperature-dependent photoluminescence study showed sharp direct band-to-band
transition peak ~3.32 eV at temperature <= 200K. The intermediate bandgap
value, with respect to ~3.4 eV for hexagonal and ~3.27 eV for cubic phases of
GaN is an indicative for the formation of mixed hexagonal and cubic phases.
| cond-mat.mtrl-sci | both hexagonal wurtzite and cubic zinc blend gan phases were synthesized in gaas by 50 kev n implantation at 400 deg c and subsequent annealing at 900 deg c for 15 min in n2 ambient crystallographic structural and raman scattering studies revealed that gan phases were grown for fluence above 2x1017 cm2 temperaturedependent photoluminescence study showed sharp direct bandtoband transition peak 332 ev at temperature 200k the intermediate bandgap value with respect to 34 ev for hexagonal and 327 ev for cubic phases of gan is an indicative for the formation of mixed hexagonal and cubic phases | [['both', 'hexagonal', 'wurtzite', 'and', 'cubic', 'zinc', 'blend', 'gan', 'phases', 'were', 'synthesized', 'in', 'gaas', 'by', '50', 'kev', 'n', 'implantation', 'at', '400', 'deg', 'c', 'and', 'subsequent', 'annealing', 'at', '900', 'deg', 'c', 'for', '15', 'min', 'in', 'n2', 'ambient', 'crystallographic', 'structural', 'and', 'raman', 'scattering', 'studies', 'revealed', 'that', 'gan', 'phases', 'were', 'grown', 'for', 'fluence', 'above', '2x1017', 'cm2', 'temperaturedependent', 'photoluminescence', 'study', 'showed', 'sharp', 'direct', 'bandtoband', 'transition', 'peak', '332', 'ev', 'at', 'temperature', '200k', 'the', 'intermediate', 'bandgap', 'value', 'with', 'respect', 'to', '34', 'ev', 'for', 'hexagonal', 'and', '327', 'ev', 'for', 'cubic', 'phases', 'of', 'gan', 'is', 'an', 'indicative', 'for', 'the', 'formation', 'of', 'mixed', 'hexagonal', 'and', 'cubic', 'phases']] | [-0.041081114847347444, 0.2375191581135762, 0.08259637174244548, -0.045723108261506815, 0.05994878637546808, -0.1932841380482021, 0.12022282198052277, 0.5387579458813692, -0.2238761421830691, -0.4099005637384385, 0.009619454044330213, -0.39161000984538463, -0.03032844447165958, 0.14492116174804642, 0.07729975781979558, 0.0069242156273925425, -0.03893560953390276, -0.12440749139347373, -0.12436545061994075, -0.25704817583342804, 0.13089698395624602, 0.05395761530212674, 0.31873191741400775, 0.11975387656657967, 0.005800458948252742, -0.04088563253123736, 0.1685890332296414, -0.07318532612827636, -0.21155382670048378, -0.01229815123261903, 0.271597224623733, -0.11516296743360088, 0.13593830097197873, -0.3877857607434091, -0.2008295030988388, -0.05076409710484758, 0.07258273686099913, 0.02412621037477685, -0.11494222127822872, -0.23318701633012173, 0.13532919717530154, -0.04035144235180288, -0.07155783373632074, 0.02145712537038111, 0.023981686590297015, -0.07113870652632538, -0.23420316311194725, 0.13901017618740036, -0.013795803627479323, 0.1619403473312784, -0.14698041842040635, -0.24204680596036626, -0.13018159342680088, -0.05657199115886055, -0.03467324636060476, 0.08117563998897935, 0.19367504424713167, -0.005993012934155071, -0.09746868002046015, 0.38165144870518564, -0.05648562771066563, 0.13307476093537732, 0.12303367683414332, -0.16634388877254114, -0.09991382544898648, 0.3209856570189454, 0.09925459934033684, 0.13376276301863343, -0.10655165352851402, 0.06089709168864107, 0.07168734399841849, 0.26601737749177157, 0.1828113924759949, 0.02540618962291436, 0.19845701893791556, 0.15853457558976927, 0.008863417604534896, 0.12022141530778566, -0.17981785999553412, 0.024125465960001823, -0.16724592530811877, -0.1750058358842411, -0.14619810386685675, 0.12568932674709976, -0.1484399426744389, -0.13838740985494913, 0.4002174351402779, 0.022189522411712667, 0.20715714887399034, -0.025273451946445348, 0.1379834345287461, 0.04110485337405782, 0.030130438579812877, -0.006036939901136553, 0.25595161500242875, 0.18665953691731946, 0.14484598498176976, -0.2130390720552352, 0.060835314986593635, -0.05777499780596532] |
708.2212 | Enumerative Properties of NC^B(p,q) | We determine the rank generating function, the zeta polynomial and the
Moebius function for the poset NC^B(p,q) of annular non-crossing partitions of
type B, where p and q are two positive integers. We give an alternative
treatment of some of these results in the case q=1, for which this poset is a
lattice. We also consider the general case of multiannular non-crossing
partitions of type B, and prove that this reduces to the cases of non-crossing
partitions of type B in the annulus and in the disc.
| math.CO math.GR | we determine the rank generating function the zeta polynomial and the moebius function for the poset ncbpq of annular noncrossing partitions of type b where p and q are two positive integers we give an alternative treatment of some of these results in the case q1 for which this poset is a lattice we also consider the general case of multiannular noncrossing partitions of type b and prove that this reduces to the cases of noncrossing partitions of type b in the annulus and in the disc | [['we', 'determine', 'the', 'rank', 'generating', 'function', 'the', 'zeta', 'polynomial', 'and', 'the', 'moebius', 'function', 'for', 'the', 'poset', 'ncbpq', 'of', 'annular', 'noncrossing', 'partitions', 'of', 'type', 'b', 'where', 'p', 'and', 'q', 'are', 'two', 'positive', 'integers', 'we', 'give', 'an', 'alternative', 'treatment', 'of', 'some', 'of', 'these', 'results', 'in', 'the', 'case', 'q1', 'for', 'which', 'this', 'poset', 'is', 'a', 'lattice', 'we', 'also', 'consider', 'the', 'general', 'case', 'of', 'multiannular', 'noncrossing', 'partitions', 'of', 'type', 'b', 'and', 'prove', 'that', 'this', 'reduces', 'to', 'the', 'cases', 'of', 'noncrossing', 'partitions', 'of', 'type', 'b', 'in', 'the', 'annulus', 'and', 'in', 'the', 'disc']] | [-0.1875548489008318, 0.09640872557527687, -0.035152723990819035, 0.0698111557004535, -0.06581402078051778, -0.11283451555954183, 0.068466766923666, 0.30518515815629677, -0.3051731395863873, -0.21865274100290502, 0.029865936032386825, -0.24380009827368399, -0.13736300262458184, 0.14428499010117615, -0.07412117564064614, -0.00013670874211718054, 0.025820382416029186, 0.06555965775076081, -0.056134338372880045, -0.3053446312298012, 0.3781192406108055, -0.08597500119906137, 0.17536736932747504, 0.04819565175429863, 0.0169030797393883, 0.07010970794431427, -0.030261224212453645, 0.02201052475598665, -0.23489697530963252, 0.09901412897195448, 0.23066316036617054, 0.12451333292650388, 0.21494688369772014, -0.37615057925748474, -0.08999009233735064, 0.1593478688860641, 0.1587371164604145, 0.029808493721408442, -0.0013419630690751708, -0.19176505543839406, 0.11848757118260597, -0.16565133847077104, -0.15047802426578366, -0.004975635646020665, 0.11043962131884387, 0.06871189702411785, -0.36766857233117606, 0.03289139154332909, 0.13287972981000648, 0.0829465117853354, -0.047199557592873184, -0.17534212433760438, 0.01696735858807669, 0.07317512199173079, 0.009682601154781877, 0.05083389271132867, -0.0007284857770975898, -0.10650301167522283, -0.11913867041687755, 0.37200618903426563, 0.02292833088294548, -0.25202321896658225, 0.13630095176289186, -0.23213419978890348, -0.15109514933189047, 0.0810164546703591, 0.10047425883548225, 0.15420807992854593, -0.03273881133645773, 0.15290306137929507, -0.16163735709646168, 0.06025636635501595, 0.1347913686898263, -0.011451614819987513, 0.16171599980443715, 0.05764293642509181, 0.06763200094129014, 0.2465359868180445, -0.06326810592128074, -0.03858587575857254, -0.35087887261281997, -0.18561081075493027, -0.1557106445707819, 0.06132385689655648, -0.135568463089465, -0.23765531776144225, 0.38457338038612815, 0.09757014084059526, 0.2117212444105569, 0.10731340815614471, 0.21135511639363624, 0.1126978907843723, 0.029226473570280874, -0.001065523412955158, 0.08980627078186337, 0.15589766486082227, -0.020305365236366495, -0.19825583072379233, 0.009019397966125432, 0.17787091837757651] |
708.2213 | Moderate Growth Time Series for Dynamic Combinatorics Modelisation | Here, we present a family of time series with a simple growth constraint.
This family can be the basis of a model to apply to emerging computation in
business and micro-economy where global functions can be expressed from local
rules. We explicit a double statistics on these series which allows to
establish a one-to-one correspondence between three other ballot-like
strunctures.
| cs.SC cs.MA math.CO | here we present a family of time series with a simple growth constraint this family can be the basis of a model to apply to emerging computation in business and microeconomy where global functions can be expressed from local rules we explicit a double statistics on these series which allows to establish a onetoone correspondence between three other ballotlike strunctures | [['here', 'we', 'present', 'a', 'family', 'of', 'time', 'series', 'with', 'a', 'simple', 'growth', 'constraint', 'this', 'family', 'can', 'be', 'the', 'basis', 'of', 'a', 'model', 'to', 'apply', 'to', 'emerging', 'computation', 'in', 'business', 'and', 'microeconomy', 'where', 'global', 'functions', 'can', 'be', 'expressed', 'from', 'local', 'rules', 'we', 'explicit', 'a', 'double', 'statistics', 'on', 'these', 'series', 'which', 'allows', 'to', 'establish', 'a', 'onetoone', 'correspondence', 'between', 'three', 'other', 'ballotlike', 'strunctures']] | [-0.1135248152473778, 0.04945698019378541, -0.13349931353801175, 0.05250663920346517, -0.11262509299507528, -0.09954347560312926, 0.08589959505275545, 0.36607777921221496, -0.33417477465251033, -0.29875676076565133, 0.11184016535704008, -0.20797030114300197, -0.1888915052343356, 0.21517157975763998, -0.03261735017376691, 0.03772362171296488, 0.0018790129964288912, 0.04144674335328633, -0.11836149986310486, -0.21391126696477858, 0.29578320401018127, -0.029472284460146176, 0.27417782103446753, 0.025208462895662115, 0.07685771999521214, -0.019503443003550433, -0.011463885122027836, 0.026784941523433907, -0.12542124388314652, 0.19822276813353887, 0.2540382829641825, 0.14569537919178083, 0.26772906294648063, -0.4609282297784822, -0.15831012056584945, 0.15594740770757198, 0.1532350329420807, 0.1100074318053789, -0.03239603868170984, -0.20369250614098028, 0.06156141344425187, -0.21835852170918593, -0.10258551389632518, -0.14171239251695705, -0.02397578565011683, 0.05048246152817451, -0.35547445319070103, 0.05592176872877437, 0.012599615903015723, 0.049489957329474, -0.013580534992159525, -0.019735835247526045, 0.004829203693620991, 0.13587553466653876, 0.007919484878105945, 0.012861276903238735, 0.05009721614126312, -0.07173599170014393, -0.1340534950916966, 0.34405369854638385, -0.09274690011679604, -0.23231948285134868, 0.20133072712148228, -0.14264329635587178, -0.19289476923611865, 0.046379420203728636, 0.19216291103185268, 0.11499676281553611, -0.17650015898081556, 0.057561485871893206, -0.0738691335805414, 0.14360690358699413, 0.04587639387893049, 0.017104076940500944, 0.23802149779441065, 0.1339551771811226, 0.05221972273041805, 0.1754770903703103, -0.02093010083384191, -0.1255723382754807, -0.3482610024511814, -0.16752155950260267, -0.135466101824453, 0.06907606500674758, -0.06690867918338259, -0.18992113197843233, 0.42912802936738, 0.08783876163100726, 0.24978965123872304, 0.09636396316100697, 0.2125261729877246, 0.15604395955278164, 0.07490418249283705, 0.024155724123773866, 0.16660146809003332, 0.07280229683965445, 0.03795535980903527, -0.13168302238428672, 0.03884877823293209, 0.12400351152673625] |
708.2214 | On the p-th root of a p-adic number | We give a sufficient and necessary condition for a p-adic integer to have
p-th root in the ring of p-adic integers. The same condition holds clearly for
residues modulo p^k. We give a proof that Fermat's last theorem is false for
p-adic integers and for residues mod p^k.
| math.NT | we give a sufficient and necessary condition for a padic integer to have pth root in the ring of padic integers the same condition holds clearly for residues modulo pk we give a proof that fermats last theorem is false for padic integers and for residues mod pk | [['we', 'give', 'a', 'sufficient', 'and', 'necessary', 'condition', 'for', 'a', 'padic', 'integer', 'to', 'have', 'pth', 'root', 'in', 'the', 'ring', 'of', 'padic', 'integers', 'the', 'same', 'condition', 'holds', 'clearly', 'for', 'residues', 'modulo', 'pk', 'we', 'give', 'a', 'proof', 'that', 'fermats', 'last', 'theorem', 'is', 'false', 'for', 'padic', 'integers', 'and', 'for', 'residues', 'mod', 'pk']] | [-0.28912753507029265, 0.04449097830123113, -0.21579572783472636, 0.11663940055344331, -0.07860941978772946, -0.19582294735785885, 0.007274683957803063, 0.2180445308816464, -0.28463359371138114, -0.18758715246804059, 0.012263751188584138, -0.2105291747720912, -0.14564609197259415, 0.22734563196233162, -0.10120350275731956, 0.04376106876103828, 0.02307241585610124, 0.17289983005806184, -0.009012256443384103, -0.4037169487370799, 0.3107022946545233, -0.0398247288831044, 0.09813578207589065, 0.14071373792830855, 0.12013006831208865, 0.07058574416441843, 0.05331897053110879, -0.11900902194126199, -0.20359279093660612, 0.0712208372290964, 0.36376730414728325, 0.10296275912939261, 0.2920725791482255, -0.40490466096283245, -0.06423455331241712, 0.3027732453968686, 0.13854530327565348, 0.011051825558145842, -0.031078219374952216, -0.18294296793950102, 0.31249330234277295, -0.09770030745615561, -0.18369602177214497, -0.10744313468846182, 0.1740920734979833, 0.05636709579266608, -0.3871948492402832, 0.11259902749831478, 0.14598280901554972, 0.25827120752849925, -0.10199401729429762, -0.20120483223581687, 0.07870349237540115, 0.0420909882717145, 0.008560459551517852, 0.012692114415888986, 0.06199126108549535, -0.005290831283976634, -0.10164957433395709, 0.33089497219771147, -0.03395912148213635, -0.18459345516748726, 0.036132999909265585, -0.1570167826139368, -0.24273781191247204, 0.15963591710412098, 0.06068956677336246, 0.13525116113790622, 0.02568176161730662, 0.15244953582441667, -0.13475649741788706, 0.15819722743860135, 0.2177544390045417, -0.0467958940716926, 0.15543787204660475, -0.07416161403913672, 0.0824944363321265, 0.1690866636733214, 0.020358730883647997, 0.015612396954869231, -0.3861602144315839, -0.26925921626389027, -0.1703164560312871, 0.1505311710255531, -0.10341483050857884, -0.13148913340410218, 0.3684501162885378, 0.07563190066139214, 0.10573761396032448, 0.25802885690548766, 0.22576608896876374, 0.11633259990655158, 0.05904652404327256, -0.005453609114435191, 0.03763602441176772, 0.21825104882009327, -0.020566112749899428, -0.06472353106558633, -0.017656793555943295, 0.22297005259315483] |
708.2215 | Polarization rotation for light propagating non-parallel to a magnetic
field in QED vacuum and in a dilute electron gas | The rotation of the polarization vector for light propagating perpendicular
to an external constant external magnetic field $B$, is calculated in quantum
vacuum, where it leads to different photon eigenmodes of the magnetized photon
self-energy tensor for polarizations along and orthogonal to $B$ (Cotton-Mouton
effect in QED vacuum). Its analogies and differences with Faraday effect are
discussed and both phenomena are calculated for a relativistic electron gas at
low densities, by starting from the low energy limit of the photon self-energy
eigenvalues in presence of $B$. In the Cotton-Mouton case the polarization
vector describes an ellipse whose axes vary periodically from zero to a maximum
value. By assuming an effective electron density of order $10^3$ cm$^{-3}$ the
quantum relativistic eigenvalues lead to a rotation of the polarization plane
compatible with some of the limit values reported by PVLAS experiments. Other
consequences, which are interesting for astrophysics, are also discussed.
| hep-ph | the rotation of the polarization vector for light propagating perpendicular to an external constant external magnetic field b is calculated in quantum vacuum where it leads to different photon eigenmodes of the magnetized photon selfenergy tensor for polarizations along and orthogonal to b cottonmouton effect in qed vacuum its analogies and differences with faraday effect are discussed and both phenomena are calculated for a relativistic electron gas at low densities by starting from the low energy limit of the photon selfenergy eigenvalues in presence of b in the cottonmouton case the polarization vector describes an ellipse whose axes vary periodically from zero to a maximum value by assuming an effective electron density of order 103 cm3 the quantum relativistic eigenvalues lead to a rotation of the polarization plane compatible with some of the limit values reported by pvlas experiments other consequences which are interesting for astrophysics are also discussed | [['the', 'rotation', 'of', 'the', 'polarization', 'vector', 'for', 'light', 'propagating', 'perpendicular', 'to', 'an', 'external', 'constant', 'external', 'magnetic', 'field', 'b', 'is', 'calculated', 'in', 'quantum', 'vacuum', 'where', 'it', 'leads', 'to', 'different', 'photon', 'eigenmodes', 'of', 'the', 'magnetized', 'photon', 'selfenergy', 'tensor', 'for', 'polarizations', 'along', 'and', 'orthogonal', 'to', 'b', 'cottonmouton', 'effect', 'in', 'qed', 'vacuum', 'its', 'analogies', 'and', 'differences', 'with', 'faraday', 'effect', 'are', 'discussed', 'and', 'both', 'phenomena', 'are', 'calculated', 'for', 'a', 'relativistic', 'electron', 'gas', 'at', 'low', 'densities', 'by', 'starting', 'from', 'the', 'low', 'energy', 'limit', 'of', 'the', 'photon', 'selfenergy', 'eigenvalues', 'in', 'presence', 'of', 'b', 'in', 'the', 'cottonmouton', 'case', 'the', 'polarization', 'vector', 'describes', 'an', 'ellipse', 'whose', 'axes', 'vary', 'periodically', 'from', 'zero', 'to', 'a', 'maximum', 'value', 'by', 'assuming', 'an', 'effective', 'electron', 'density', 'of', 'order', '103', 'cm3', 'the', 'quantum', 'relativistic', 'eigenvalues', 'lead', 'to', 'a', 'rotation', 'of', 'the', 'polarization', 'plane', 'compatible', 'with', 'some', 'of', 'the', 'limit', 'values', 'reported', 'by', 'pvlas', 'experiments', 'other', 'consequences', 'which', 'are', 'interesting', 'for', 'astrophysics', 'are', 'also', 'discussed']] | [-0.15082128317253163, 0.2473848089758399, -0.0192916664301149, 0.04120940325747326, -0.04942608619696342, -0.10328458072680155, -0.0055521052477618795, 0.3727199307099085, -0.21868901426947657, -0.2988382077622759, 0.020208540169409657, -0.297793235617296, -0.03213812838364768, 0.21858589429933353, 0.03878359377209172, 0.03949561158100209, -0.010056120487267539, 0.03584378142216112, -0.07409443870974367, -0.15532028241295542, 0.29225869908703855, 0.0671272269487631, 0.2809093741859441, 0.06515894701779389, 0.09745002742591095, 0.00544512981467649, 0.016417274842251268, 0.025503423990019217, -0.08566151807184687, 0.039838547369890266, 0.21211033246023642, -0.004638584677580019, 0.1686752094643428, -0.4147612660585734, -0.17498213363398843, 0.04515515254097897, 0.10208634972094165, 0.12333002659545324, -0.06061821374979695, -0.27253097562500644, 0.027044029515736655, -0.14464125074305564, -0.1999607337794998, -0.047257070492127996, 0.06063307817140907, -0.007628857425332769, -0.2692347389502113, 0.10771813384458835, 0.016064414351353508, 0.04274263867995883, -0.06605515266290472, -0.1409765523327077, -0.034433518483259734, 0.05123677786639673, 0.0994369421363652, 0.06431926071843845, 0.16146832694855812, -0.1315900368644112, -0.11210556170471862, 0.40774392132216053, -0.11110820531635701, -0.19610869623816357, 0.11239803109268014, -0.22069408774263408, -0.05847053360131463, 0.16224889203612286, 0.15897120325357322, 0.0810752299195468, -0.10011729027375879, 0.09796346054840582, 0.0012977840027290602, 0.10747699913625049, 0.0982237045993816, 0.06914367138223736, 0.2790505377538252, 0.03228367744607463, 0.009944395515317684, 0.12203427782358801, -0.12097865370596016, -0.08042239774785773, -0.31523804509099695, -0.11256200523465722, -0.166185953486367, 0.08848672482066307, -0.11921077853839472, -0.14904093893944917, 0.3756509654211418, 0.1361132611039301, 0.19677169638531183, -0.058321531468239804, 0.31586082554703593, 0.16347641923039802, 0.022321761861965436, 0.08027546481821599, 0.33131356425399755, 0.2406772153636428, 0.08142689584548142, -0.2822067070558617, 0.005027426838024751, -0.015198132818589774] |
708.2216 | Experimental joint signal-idler quasi-distributions and photon-number
statistics for mesoscopic twin beams | Joint signal-idler photoelectron distributions of twin beams containing
several tens of photons per mode have been measured recently. Exploiting a
microscopic quantum theory for joint quasi-distributions in parametric
down-conversion developed earlier we characterize properties of twin beams in
terms of quasi-distributions using experimental data. Negative values as well
as oscillating behaviour in quantum region are characteristic for the
subsequently determined joint signal-idler quasi-distributions of integrated
intensities. Also the conditional and difference photon-number distributions
are shown to be sub-Poissonian and sub-shot-noise, respectively.
| quant-ph | joint signalidler photoelectron distributions of twin beams containing several tens of photons per mode have been measured recently exploiting a microscopic quantum theory for joint quasidistributions in parametric downconversion developed earlier we characterize properties of twin beams in terms of quasidistributions using experimental data negative values as well as oscillating behaviour in quantum region are characteristic for the subsequently determined joint signalidler quasidistributions of integrated intensities also the conditional and difference photonnumber distributions are shown to be subpoissonian and subshotnoise respectively | [['joint', 'signalidler', 'photoelectron', 'distributions', 'of', 'twin', 'beams', 'containing', 'several', 'tens', 'of', 'photons', 'per', 'mode', 'have', 'been', 'measured', 'recently', 'exploiting', 'a', 'microscopic', 'quantum', 'theory', 'for', 'joint', 'quasidistributions', 'in', 'parametric', 'downconversion', 'developed', 'earlier', 'we', 'characterize', 'properties', 'of', 'twin', 'beams', 'in', 'terms', 'of', 'quasidistributions', 'using', 'experimental', 'data', 'negative', 'values', 'as', 'well', 'as', 'oscillating', 'behaviour', 'in', 'quantum', 'region', 'are', 'characteristic', 'for', 'the', 'subsequently', 'determined', 'joint', 'signalidler', 'quasidistributions', 'of', 'integrated', 'intensities', 'also', 'the', 'conditional', 'and', 'difference', 'photonnumber', 'distributions', 'are', 'shown', 'to', 'be', 'subpoissonian', 'and', 'subshotnoise', 'respectively']] | [-0.05058424256276339, 0.2135669709654686, -0.1215657086491033, 0.10441238358386873, 0.0021645921357205987, -0.1199599849232645, -0.006147520094937472, 0.4599383119493723, -0.22023207429842448, -0.32280311377052173, -0.01406672292670672, -0.296469399659538, -0.021374554660769155, 0.23745879411042012, -0.025995346502311827, 0.18703237420144164, 0.01728240145301377, -0.006181937458430544, -0.049398761714038286, -0.16680466450957787, 0.2800218233620219, 0.05443186114864125, 0.38002833871193875, -0.0030033630088983493, 0.15712374895034978, 0.04252098921548437, -0.02450118953201138, -0.03518910562320624, -0.07965649413929413, 0.10294091969693976, 0.24208667959132588, 0.09881689125545506, 0.2101935258963042, -0.38445035699341035, -0.2127200682291094, 0.10940088953730868, 0.16733206172163287, 0.08856466121649668, -0.026059828261718338, -0.3201179794829201, 0.050527683838650035, -0.17029746942923485, -0.10639186309259614, -0.09984390150157758, -0.0057580608897555025, 0.09463610399347719, -0.28868345679416335, 0.1134389838240437, -0.01433613990795695, 0.09177986695718618, 0.016605980577878654, -0.1266764307015196, -0.02250860975537863, 0.07183653735383241, -0.02194614540555595, -0.04987646410684389, 0.0982047082701077, -0.09749153461939666, -0.18347781114740136, 0.26906782842491306, -0.05178937953063229, -0.1837458603186849, 0.06851747209482172, -0.2300377106523992, -0.10113979074644086, 0.15113628427440554, 0.17151274176797382, 0.10972064214954037, -0.1448219451294453, 0.0031457230215892196, -0.018640966247336042, 0.14759008367948326, 0.18465844170408852, 0.17802905917949516, 0.19669544545036774, 0.07040314595818657, -0.04345568615287818, 0.17305605528020318, -0.1754882245979927, -0.10068737991430142, -0.316849587922111, -0.12057360762983192, -0.22099008852792731, 0.02357992520670832, -0.0237285095309396, -0.09622461510998956, 0.4040477404853812, 0.057053688203594015, 0.2046230172301516, -0.0014876413078587732, 0.25688001253630643, 0.1810329502856612, 0.016901174077281245, -0.02003091166117861, 0.26541661833309466, 0.23095697247319752, 0.060901597892451614, -0.21446938138386165, 0.03285176561064558, -0.028668237934866347] |
708.2217 | Ferromagnetism in cobalt doped n-GaN | Ferromagnetic ordering is reported in the post-annealed samples of Co doped
n-GaN formed by Co+ implantation. A maximum Curie temperature ~ 250K is
recorded for the sample with 8 atomic percent Co. Particle induced x-ray
emission-channeling study confirmed the substitutional Co in Ga lattice site.
Local atomic arrangement around magnetic impurities is also analyzed using
Raman study. A disordered model with carrier mediated coupling of localized
magnetic moments is made responsible for the observed ferromagnetic ordering.
| cond-mat.mtrl-sci | ferromagnetic ordering is reported in the postannealed samples of co doped ngan formed by co implantation a maximum curie temperature 250k is recorded for the sample with 8 atomic percent co particle induced xray emissionchanneling study confirmed the substitutional co in ga lattice site local atomic arrangement around magnetic impurities is also analyzed using raman study a disordered model with carrier mediated coupling of localized magnetic moments is made responsible for the observed ferromagnetic ordering | [['ferromagnetic', 'ordering', 'is', 'reported', 'in', 'the', 'postannealed', 'samples', 'of', 'co', 'doped', 'ngan', 'formed', 'by', 'co', 'implantation', 'a', 'maximum', 'curie', 'temperature', '250k', 'is', 'recorded', 'for', 'the', 'sample', 'with', '8', 'atomic', 'percent', 'co', 'particle', 'induced', 'xray', 'emissionchanneling', 'study', 'confirmed', 'the', 'substitutional', 'co', 'in', 'ga', 'lattice', 'site', 'local', 'atomic', 'arrangement', 'around', 'magnetic', 'impurities', 'is', 'also', 'analyzed', 'using', 'raman', 'study', 'a', 'disordered', 'model', 'with', 'carrier', 'mediated', 'coupling', 'of', 'localized', 'magnetic', 'moments', 'is', 'made', 'responsible', 'for', 'the', 'observed', 'ferromagnetic', 'ordering']] | [-0.11612370942492743, 0.2698407847988042, 0.116885227299094, 0.028939700990638417, 0.02742452237352326, -0.14001204450992313, 0.12112848338595517, 0.47275664372923404, -0.21210356446838863, -0.3209633438822788, -0.05769710395032087, -0.38617155877118176, -0.018372539481198467, 0.08757552318746929, 0.16815179515932058, -0.06373453434758089, -0.03664629133669911, -0.06978288834058755, -0.08744031737709569, -0.2560923308939547, 0.21042919428263968, 0.06730815650568016, 0.3074405742557468, 0.06786162546533789, 0.007881344749113998, -0.0020982023140547696, 0.10960467288119567, 0.052062790482179135, -0.15209776210925868, 0.027563143282423954, 0.24688812806208088, -0.12268186264948265, 0.13690457971313516, -0.432766565158975, -0.18066032121989978, -0.0043374479471428974, 0.12353885156335309, 0.12253465893288218, -0.12692681288761967, -0.27816147105516614, 0.07665770196330708, -0.07120038797084645, -0.1549215282351282, -0.018650011184650497, -0.01544781555295796, 0.01069687055801419, -0.297258393178266, 0.13155268202811116, 0.09023594730407805, 0.21915999900650335, -0.1554098023491836, -0.1530034989999557, -0.15224966539283963, -0.04493462206242052, 0.0047404863918829405, 0.07680332747514586, 0.2727842523049362, 0.007392902766524286, -0.09557628940721671, 0.3465419918349063, -0.05934803274057403, 0.016878829284168378, 0.16874141130294348, -0.2260623308767036, -0.08724607938799907, 0.2307172526882307, 0.04233331048257045, 0.10560334835679748, -0.18853658064806558, 0.058987549480956955, -0.011726468364154367, 0.2502421265014926, 0.09099941740970353, 0.03836914757266641, 0.2647782073834458, 0.24504615952468453, 0.01293349325203815, 0.16660459809055603, -0.2064954473108456, -0.008885452209191548, -0.11792761021973314, -0.1450361191622309, -0.2863133732745474, 0.0865987295448478, -0.08729909112475612, -0.15950302306697955, 0.31203712903693115, 0.12267106962767807, 0.196553668290427, -0.1645317258835594, 0.19126980555419987, 0.07424394547234515, 0.05929875529270519, -0.0025717015913058376, 0.22964630648493767, 0.22291592010485664, 0.1482419867188091, -0.30415680580394894, 0.14441671198536013, 0.04201490942206284] |
708.2218 | Tensoring with infinite-dimensional modules in $\scr O_0$ | We show that the principal block $\scr O_0$ of the BGG category $\scr O$ for
a semisimple Lie algebra $\germ g$ acts faithfully on itself via exact
endofunctors which preserve tilting modules, via right exact endofunctors which
preserve projective modules and via left exact endofunctors which preserve
injective modules. The origin of all these functors is tensoring with arbitrary
(not necessarily finite-dimensional) modules in the category $\scr O$. We study
such functors, describe their adjoints and show that they give rise to a
natural (co)monad structure on $\scr O_0$. Furthermore, all this generalises to
parabolic subcategories of $\scr O_0$. As an example, we present some explicit
computations for the algebra $\germ{sl}_3$.
| math.RT | we show that the principal block scr o_0 of the bgg category scr o for a semisimple lie algebra germ g acts faithfully on itself via exact endofunctors which preserve tilting modules via right exact endofunctors which preserve projective modules and via left exact endofunctors which preserve injective modules the origin of all these functors is tensoring with arbitrary not necessarily finitedimensional modules in the category scr o we study such functors describe their adjoints and show that they give rise to a natural comonad structure on scr o_0 furthermore all this generalises to parabolic subcategories of scr o_0 as an example we present some explicit computations for the algebra germsl_3 | [['we', 'show', 'that', 'the', 'principal', 'block', 'scr', 'o_0', 'of', 'the', 'bgg', 'category', 'scr', 'o', 'for', 'a', 'semisimple', 'lie', 'algebra', 'germ', 'g', 'acts', 'faithfully', 'on', 'itself', 'via', 'exact', 'endofunctors', 'which', 'preserve', 'tilting', 'modules', 'via', 'right', 'exact', 'endofunctors', 'which', 'preserve', 'projective', 'modules', 'and', 'via', 'left', 'exact', 'endofunctors', 'which', 'preserve', 'injective', 'modules', 'the', 'origin', 'of', 'all', 'these', 'functors', 'is', 'tensoring', 'with', 'arbitrary', 'not', 'necessarily', 'finitedimensional', 'modules', 'in', 'the', 'category', 'scr', 'o', 'we', 'study', 'such', 'functors', 'describe', 'their', 'adjoints', 'and', 'show', 'that', 'they', 'give', 'rise', 'to', 'a', 'natural', 'comonad', 'structure', 'on', 'scr', 'o_0', 'furthermore', 'all', 'this', 'generalises', 'to', 'parabolic', 'subcategories', 'of', 'scr', 'o_0', 'as', 'an', 'example', 'we', 'present', 'some', 'explicit', 'computations', 'for', 'the', 'algebra', 'germsl_3']] | [-0.15622851493006404, -0.009196550495239948, -0.024211830738931895, 0.0733982279388742, -0.14651521509724924, -0.16667959276925434, -0.04537770666224374, 0.414580749720335, -0.4118028861047192, -0.14769621946933595, 0.10213898764394054, -0.1678186665114481, -0.14295412901026958, 0.14451953172260387, -0.17868851520205764, -0.1405598088929599, 0.09870542765552685, 0.12675354446347972, -0.06917542076817798, -0.23687806041191586, 0.4053138620728119, 0.006221241334622557, 0.2181282265365801, -0.014906716674820266, 0.15881390643560073, 0.039652429305186324, -0.0025313113519752567, -0.03660078808157281, -0.1518583011417914, 0.08718396729197014, 0.38506956027228045, 0.09436254460703243, 0.15361344994215126, -0.3961590225787156, -0.03275277261537585, 0.18342937590046363, 0.1588407936294309, 0.03401117989560589, -0.00011932697591625832, -0.3150342568670484, 0.12342200120064345, -0.277558275739747, -0.05787189306945286, -0.11720425309613347, 0.0907712522640147, 0.02739019720307128, -0.27237688448036684, -0.016179528197442943, 0.14387265977195718, 0.13467081516811794, -0.1470266494984654, -0.059698564660820096, -0.13853180912661958, 0.10733187984759834, -0.10090742995122458, -0.004908203691328791, 0.16557919374159114, -0.07417941323523833, -0.12278945616192438, 0.32202530184083367, -0.06180855427783999, -0.21693549799859863, 0.17692124073986304, -0.14277959653938357, -0.14593453509733081, 0.093780288239941, -0.059534037705849516, 0.14698265522972426, -0.05474317042548633, 0.2508017210490917, -0.15421705808151853, 0.03574628641998226, 0.08780575199052691, 0.0728670450012115, 0.11486148345284164, 0.03534145116044039, 0.04263866756492379, 0.06993481433865699, 0.0845536174337295, 0.041937727383761246, -0.394685519520532, -0.21626376678680323, -0.014328302586959166, 0.1279930315681585, -0.061373313848955814, -0.19848735694011505, 0.4142031156563793, 0.14509966555474835, 0.21943204565481705, 0.16607089650880716, 0.19117550727149302, 0.050571441259870134, 0.12196079643803057, 0.04635568126184146, 0.11045167491564908, 0.2695256930521943, -0.07103236562530087, -0.12183725669958882, -0.0342390786009756, 0.2398989822630855] |
708.2219 | On the $\mathbb{L}_p$-error of monotonicity constrained estimators | We aim at estimating a function $\lambda:[0,1]\to \mathbb {R}$, subject to
the constraint that it is decreasing (or increasing). We provide a unified
approach for studying the $\mathbb {L}_p$-loss of an estimator defined as the
slope of a concave (or convex) approximation of an estimator of a primitive of
$\lambda$, based on $n$ observations. Our main task is to prove that the
$\mathbb {L}_p$-loss is asymptotically Gaussian with explicit (though unknown)
asymptotic mean and variance. We also prove that the local $\mathbb {L}_p$-risk
at a fixed point and the global $\mathbb {L}_p$-risk are of order $n^{-p/3}$.
Applying the results to the density and regression models, we recover and
generalize known results about Grenander and Brunk estimators. Also, we obtain
new results for the Huang--Wellner estimator of a monotone failure rate in the
random censorship model, and for an estimator of the monotone intensity
function of an inhomogeneous Poisson process.
| math.ST stat.TH | we aim at estimating a function lambda01to mathbb r subject to the constraint that it is decreasing or increasing we provide a unified approach for studying the mathbb l_ploss of an estimator defined as the slope of a concave or convex approximation of an estimator of a primitive of lambda based on n observations our main task is to prove that the mathbb l_ploss is asymptotically gaussian with explicit though unknown asymptotic mean and variance we also prove that the local mathbb l_prisk at a fixed point and the global mathbb l_prisk are of order np3 applying the results to the density and regression models we recover and generalize known results about grenander and brunk estimators also we obtain new results for the huangwellner estimator of a monotone failure rate in the random censorship model and for an estimator of the monotone intensity function of an inhomogeneous poisson process | [['we', 'aim', 'at', 'estimating', 'a', 'function', 'lambda01to', 'mathbb', 'r', 'subject', 'to', 'the', 'constraint', 'that', 'it', 'is', 'decreasing', 'or', 'increasing', 'we', 'provide', 'a', 'unified', 'approach', 'for', 'studying', 'the', 'mathbb', 'l_ploss', 'of', 'an', 'estimator', 'defined', 'as', 'the', 'slope', 'of', 'a', 'concave', 'or', 'convex', 'approximation', 'of', 'an', 'estimator', 'of', 'a', 'primitive', 'of', 'lambda', 'based', 'on', 'n', 'observations', 'our', 'main', 'task', 'is', 'to', 'prove', 'that', 'the', 'mathbb', 'l_ploss', 'is', 'asymptotically', 'gaussian', 'with', 'explicit', 'though', 'unknown', 'asymptotic', 'mean', 'and', 'variance', 'we', 'also', 'prove', 'that', 'the', 'local', 'mathbb', 'l_prisk', 'at', 'a', 'fixed', 'point', 'and', 'the', 'global', 'mathbb', 'l_prisk', 'are', 'of', 'order', 'np3', 'applying', 'the', 'results', 'to', 'the', 'density', 'and', 'regression', 'models', 'we', 'recover', 'and', 'generalize', 'known', 'results', 'about', 'grenander', 'and', 'brunk', 'estimators', 'also', 'we', 'obtain', 'new', 'results', 'for', 'the', 'huangwellner', 'estimator', 'of', 'a', 'monotone', 'failure', 'rate', 'in', 'the', 'random', 'censorship', 'model', 'and', 'for', 'an', 'estimator', 'of', 'the', 'monotone', 'intensity', 'function', 'of', 'an', 'inhomogeneous', 'poisson', 'process']] | [-0.09296431829635468, 0.027914897959514445, -0.1027196409187228, 0.06595067309744233, -0.026735628917877976, -0.13824383360851142, 0.031561760926302265, 0.35500735365268254, -0.2719634721870534, -0.22229700575634423, 0.13178802870728154, -0.28731030214435627, -0.16249234630474044, 0.18067104361155847, -0.10053840642245228, 0.07224787878092481, -0.02771572637074213, 0.052008182057963696, -0.10473994733668708, -0.2957452689944249, 0.312127369122916, 0.04955161230625688, 0.24955055945934468, 0.04187015253329365, 0.13230956610318068, 0.029398106950414633, -0.030031910001222666, 0.01356070302426815, -0.19078244280126455, 0.1018787475934207, 0.2004503468192272, 0.12807322798148058, 0.3028650579720609, -0.3567376629491466, -0.18116005274997507, 0.16806095699899337, 0.15035783582586898, 0.05118612225568439, -0.03416160349620946, -0.2443851967303393, 0.11179147882244757, -0.13051905172566572, -0.1733676498471242, -0.040249095918423135, 0.009449341874440305, 0.056018089280567236, -0.3963965865146343, 0.0773872779484211, 0.11474679174716584, 0.05391825306772565, -0.0782622958827738, -0.12459145841098183, -0.008287315581886409, 0.07503335849711827, 0.059369386468663125, 0.09624696499344686, 0.09133966822345327, -0.0954977905170785, -0.07219656683284686, 0.30444456435765865, -0.09763413941659059, -0.23574840890715779, 0.12937166758961716, -0.13577803658295629, -0.1527358805081652, 0.09291369288823464, 0.16804719040131508, 0.14244663042417313, -0.10360194283485827, 0.11363621340084744, -0.08541479746377768, 0.12491164258264892, 0.01646869653227946, -0.004595606977495158, 0.14366488309396017, 0.1347970882076576, 0.1476343778000834, 0.15198863724395373, -0.07791917877047025, -0.059151118284919195, -0.35404435317549443, -0.13691009091497916, -0.21006455311241248, 0.06613219694797105, -0.15053729184829637, -0.1972101844342736, 0.342458513746452, 0.13490583995331284, 0.19663765798840258, 0.17943381498399605, 0.2663275613449514, 0.15944797892977172, -0.007925349581960795, 0.09265836824609626, 0.14816714516685656, 0.14973285884479992, -0.009070144190142551, -0.16376034276779844, 0.08738652181151944, 0.06382700404275157] |
708.222 | HIPPARCOS Astrometric Orbit and Evolutionary Status of HR 6046 | The previously known, 6-yr spectroscopic binary HR 6046 has been speculated
in the past to contain a compact object as the secondary. A recent study has
re-determined the orbit with great accuracy, and shown that the companion is an
evolved but otherwise normal star of nearly identical mass as the primary,
which is also a giant. The binary motion was detected by the Hipparcos mission
but was not properly accounted for in the published astrometric solution. Here
we use the Hipparcos intermediate data in combination with the spectroscopic
results to revise that solution and establish the orbital inclination angle for
the first time, and with it the absolute masses M(A) = 1.38 [-0.03,+0.09]
M(Sun) and M(B) = 1.36 [-0.02,+0.07] M(Sun). Aided by other constraints, we
investigate the evolutionary status and confirm that the primary star is
approaching the tip of the red-giant branch, while the secondary is beginning
its first ascent.
| astro-ph | the previously known 6yr spectroscopic binary hr 6046 has been speculated in the past to contain a compact object as the secondary a recent study has redetermined the orbit with great accuracy and shown that the companion is an evolved but otherwise normal star of nearly identical mass as the primary which is also a giant the binary motion was detected by the hipparcos mission but was not properly accounted for in the published astrometric solution here we use the hipparcos intermediate data in combination with the spectroscopic results to revise that solution and establish the orbital inclination angle for the first time and with it the absolute masses ma 138 003009 msun and mb 136 002007 msun aided by other constraints we investigate the evolutionary status and confirm that the primary star is approaching the tip of the redgiant branch while the secondary is beginning its first ascent | [['the', 'previously', 'known', '6yr', 'spectroscopic', 'binary', 'hr', '6046', 'has', 'been', 'speculated', 'in', 'the', 'past', 'to', 'contain', 'a', 'compact', 'object', 'as', 'the', 'secondary', 'a', 'recent', 'study', 'has', 'redetermined', 'the', 'orbit', 'with', 'great', 'accuracy', 'and', 'shown', 'that', 'the', 'companion', 'is', 'an', 'evolved', 'but', 'otherwise', 'normal', 'star', 'of', 'nearly', 'identical', 'mass', 'as', 'the', 'primary', 'which', 'is', 'also', 'a', 'giant', 'the', 'binary', 'motion', 'was', 'detected', 'by', 'the', 'hipparcos', 'mission', 'but', 'was', 'not', 'properly', 'accounted', 'for', 'in', 'the', 'published', 'astrometric', 'solution', 'here', 'we', 'use', 'the', 'hipparcos', 'intermediate', 'data', 'in', 'combination', 'with', 'the', 'spectroscopic', 'results', 'to', 'revise', 'that', 'solution', 'and', 'establish', 'the', 'orbital', 'inclination', 'angle', 'for', 'the', 'first', 'time', 'and', 'with', 'it', 'the', 'absolute', 'masses', 'ma', '138', '003009', 'msun', 'and', 'mb', '136', '002007', 'msun', 'aided', 'by', 'other', 'constraints', 'we', 'investigate', 'the', 'evolutionary', 'status', 'and', 'confirm', 'that', 'the', 'primary', 'star', 'is', 'approaching', 'the', 'tip', 'of', 'the', 'redgiant', 'branch', 'while', 'the', 'secondary', 'is', 'beginning', 'its', 'first', 'ascent']] | [-0.09900529596965522, 0.10440097504927098, -0.10160888912118721, 0.03557244779998374, -0.10902634789954696, -0.07706631408791814, 0.06698386975245288, 0.3782317490010654, -0.178738870731033, -0.3627058269968569, 0.13185845528441736, -0.2666570890894872, -0.0836643137587797, 0.18421950199697543, -0.09605426458491875, 0.01329363453328522, 0.14221128200855881, 0.06569655351309518, -0.07304048138958145, -0.2669654452123198, 0.27132417233629563, 0.07749077936809436, 0.1468865254318854, -0.030175126379202652, 0.08730059402257254, -0.04250910332201411, -0.04723478530864888, -0.042072792324993835, -0.16106833029617892, 0.04042179166220579, 0.1883514192855398, 0.1360740764707252, 0.21452510346902298, -0.3094632635580613, -0.194533645362912, 0.04587609834903414, 0.17200106955481062, 0.07268901327828058, -0.05667315240818132, -0.2645828988131186, 0.11397514308821535, -0.20057564237680062, -0.175539253295193, 0.017270464998601166, 0.0838200211956247, 0.03493894064828641, -0.21379638319185015, 0.06502723782428778, 0.05790477652327727, 0.0687054189581474, -0.13653503402039383, -0.1598599914636388, -0.08241101458587452, 0.13001622392439702, 0.05827365715006654, 0.12854560989817768, 0.06381877586804174, -0.08062122522497037, -0.05106022092982527, 0.3729150440581393, -0.06857180363270485, -0.047996136995857495, 0.21011088585993587, -0.17838384662348553, -0.14181162420607127, 0.13219614566347543, 0.1058675590340023, 0.1476583401297513, -0.21084376682071077, 0.013130693825746217, -0.0067891242082587025, 0.2086423982384821, 0.07768547962475943, 0.005826047784180049, 0.29372189899018947, 0.16526556624124614, 0.02051568553070444, 0.07203088466573394, -0.21595761325247836, -0.0540828741274324, -0.20148539949120992, -0.12413385172918338, -0.15664973089958997, 0.03760595856425462, -0.06534353401400571, -0.0985595150637806, 0.3184884608560711, 0.10370903958460229, 0.19586455716357734, 0.020192800008851236, 0.3045048322755181, 0.09538212421681456, 0.09481085194024763, 0.0821710617106483, 0.37379708021079133, 0.17086406870301338, 0.08773880096421195, -0.2534545185794466, 0.09569576395059867, 0.03291460116325109] |
708.2221 | Nitrogen ion beam synthesis of InN in InP (100) at elevated temperature | InN phase is grown in crystalline InP(100) substrates by 50 keV N+
implantation at an elevated temperature of 400 deg C followed by annealing at
525 deg C in N2 ambient. Crystallographic structural and Raman scattering
studies are performed for the characterization of grown phases. Temperature-
and power-dependent photoluminescence studies show direct band-to-band
transition peak ~1.06 eV at temperatures <=150K. Implantations at an elevated
temperature with a low ion beam current and subsequent low temperature
annealing step are found responsible for the growth of high-quality InN phase.
| cond-mat.mtrl-sci | inn phase is grown in crystalline inp100 substrates by 50 kev n implantation at an elevated temperature of 400 deg c followed by annealing at 525 deg c in n2 ambient crystallographic structural and raman scattering studies are performed for the characterization of grown phases temperature and powerdependent photoluminescence studies show direct bandtoband transition peak 106 ev at temperatures 150k implantations at an elevated temperature with a low ion beam current and subsequent low temperature annealing step are found responsible for the growth of highquality inn phase | [['inn', 'phase', 'is', 'grown', 'in', 'crystalline', 'inp100', 'substrates', 'by', '50', 'kev', 'n', 'implantation', 'at', 'an', 'elevated', 'temperature', 'of', '400', 'deg', 'c', 'followed', 'by', 'annealing', 'at', '525', 'deg', 'c', 'in', 'n2', 'ambient', 'crystallographic', 'structural', 'and', 'raman', 'scattering', 'studies', 'are', 'performed', 'for', 'the', 'characterization', 'of', 'grown', 'phases', 'temperature', 'and', 'powerdependent', 'photoluminescence', 'studies', 'show', 'direct', 'bandtoband', 'transition', 'peak', '106', 'ev', 'at', 'temperatures', '150k', 'implantations', 'at', 'an', 'elevated', 'temperature', 'with', 'a', 'low', 'ion', 'beam', 'current', 'and', 'subsequent', 'low', 'temperature', 'annealing', 'step', 'are', 'found', 'responsible', 'for', 'the', 'growth', 'of', 'highquality', 'inn', 'phase']] | [-0.0824097727836911, 0.30866042114381387, -0.012666966852753661, -0.08490615149521334, 0.10321122995675217, -0.17914661885845626, 0.11587294134268061, 0.5236910588681958, -0.22426079867710902, -0.36855029262775596, 0.034645494395802015, -0.3404847602468244, 0.034282666733921614, 0.19732588356858943, 0.08448930664074629, 0.03246666776926019, -0.04921707742695892, -0.11890219190214804, -0.1042170521077635, -0.2407062994532807, 0.16480173655449912, 0.1279595773315144, 0.35251290409630814, 0.12916286389321782, 0.03438056377304155, -0.054975021403109614, 0.10827284592182138, -0.046880470361387316, -0.20345532321262844, -0.07678933988520226, 0.3034617253795786, -0.06795228609265651, 0.16432913501075533, -0.42198184152068785, -0.2107288484410166, -0.0379714815617474, 0.10946029570863344, 0.06941491043801572, -0.15269256321182692, -0.19050737958791297, 0.09009414435320989, -0.03515983879739462, -0.10309851889195311, 0.008781220801824401, -0.0055393043169102004, -0.08032568990520939, -0.24275355989676575, 0.13156639091497244, -0.012891539524114409, 0.2206409956940428, -0.0983677620804587, -0.20965086541620495, -0.12207428692991651, -0.044075028521420305, -0.016874974135980877, 0.09483880116495975, 0.28942317140375284, -0.04435116039632365, -0.07017613304941374, 0.3235195274627226, -0.07685907854330401, 0.11449336294128104, 0.17393647953001565, -0.21792761974735864, -0.0749068712642373, 0.31466208385346933, 0.08687106093261825, 0.14891460332153147, -0.11841217137678245, 0.04123463082468397, 0.1367106755496934, 0.21994927805953499, 0.16606690015557202, 0.02186016664775305, 0.21837751547329473, 0.2002094738878483, -0.015589803522236125, 0.12272457543203505, -0.15481088725243544, 0.06508762163088419, -0.17375997941518678, -0.1701569798846491, -0.15109334476725306, 0.10588515616498541, -0.12227047443018312, -0.11072685935556195, 0.33928344980272096, 0.07941210029381436, 0.2370922535571248, -0.04647039938014174, 0.23334279064451843, 0.09897867356275403, 0.03060539836215592, 0.014557570556102883, 0.20773772098297297, 0.16858172640312724, 0.1572243586334205, -0.2729760659357728, 0.08570978895024678, -0.07128674127594677] |
708.2222 | On the occurrence of oscillatory modulations in the power-law behavior
of dynamic and kinetic processes in fractals | The dynamic and kinetic behavior of processes occurring in fractals with
spatial discrete scale invariance (DSI) is considered. Spatial DSI implies the
existence of a fundamental scaling ratio (b_1). We address time-dependent
physical processes, which as a consequence of the time evolution develop a
characteristic length of the form $\xi \propto t^{1/z}$, where z is the dynamic
exponent. So, we conjecture that the interplay between the physical process and
the symmetry properties of the fractal leads to the occurrence of time DSI
evidenced by soft log-periodic modulations of physical observables, with a
fundamental time scaling ratio given by $\tau = b_1 ^z$. The conjecture is
tested numerically for random walks, and representative systems of broad
universality classes in the fields of irreversible and equilibrium critical
phenomena.
| cond-mat.stat-mech | the dynamic and kinetic behavior of processes occurring in fractals with spatial discrete scale invariance dsi is considered spatial dsi implies the existence of a fundamental scaling ratio b_1 we address timedependent physical processes which as a consequence of the time evolution develop a characteristic length of the form xi propto t1z where z is the dynamic exponent so we conjecture that the interplay between the physical process and the symmetry properties of the fractal leads to the occurrence of time dsi evidenced by soft logperiodic modulations of physical observables with a fundamental time scaling ratio given by tau b_1 z the conjecture is tested numerically for random walks and representative systems of broad universality classes in the fields of irreversible and equilibrium critical phenomena | [['the', 'dynamic', 'and', 'kinetic', 'behavior', 'of', 'processes', 'occurring', 'in', 'fractals', 'with', 'spatial', 'discrete', 'scale', 'invariance', 'dsi', 'is', 'considered', 'spatial', 'dsi', 'implies', 'the', 'existence', 'of', 'a', 'fundamental', 'scaling', 'ratio', 'b_1', 'we', 'address', 'timedependent', 'physical', 'processes', 'which', 'as', 'a', 'consequence', 'of', 'the', 'time', 'evolution', 'develop', 'a', 'characteristic', 'length', 'of', 'the', 'form', 'xi', 'propto', 't1z', 'where', 'z', 'is', 'the', 'dynamic', 'exponent', 'so', 'we', 'conjecture', 'that', 'the', 'interplay', 'between', 'the', 'physical', 'process', 'and', 'the', 'symmetry', 'properties', 'of', 'the', 'fractal', 'leads', 'to', 'the', 'occurrence', 'of', 'time', 'dsi', 'evidenced', 'by', 'soft', 'logperiodic', 'modulations', 'of', 'physical', 'observables', 'with', 'a', 'fundamental', 'time', 'scaling', 'ratio', 'given', 'by', 'tau', 'b_1', 'z', 'the', 'conjecture', 'is', 'tested', 'numerically', 'for', 'random', 'walks', 'and', 'representative', 'systems', 'of', 'broad', 'universality', 'classes', 'in', 'the', 'fields', 'of', 'irreversible', 'and', 'equilibrium', 'critical', 'phenomena']] | [-0.18274894968420266, 0.2120921202711761, -0.09967792327050119, 0.09117543811498036, -0.015343205061741173, -0.12414617608673871, 0.031589932643808424, 0.30643300822377206, -0.31159423860907554, -0.2573604637607932, 0.06298584918119013, -0.20494470223411917, -0.15430115231126545, 0.15288664247840644, 0.05123114668577909, 0.09705855260509998, -0.05921037609502673, -0.014712533436715603, -0.03851097152195871, -0.15723207166045905, 0.3255704575140262, 0.04894092528522015, 0.2749875393137336, 0.060315631229430434, 0.08437569807097316, -0.01676370255276561, -0.024892381340265272, 0.010692803416401149, -0.1763389286271413, 0.0250671614818275, 0.17995220089890063, 0.06842384009994566, 0.23201647189259528, -0.35668692460656165, -0.2193563143797219, 0.11290847500413656, 0.14196026247739793, 0.00953050000127405, -0.003925408117473126, -0.2579882107377052, 0.05695896360650659, -0.07017913039773703, -0.19334421557188033, -0.02900099715590477, 0.11006811682507396, 0.05942577323131263, -0.2789238949157298, 0.1796561456732452, 0.08813095298875123, 0.07277876358479261, -0.030158859990537166, -0.049595967315137386, -0.01568691375106573, 0.12766700829938055, 0.086939345771214, -0.0064158252961933615, 0.12798913117591293, -0.11059187552332878, -0.14551589874178172, 0.41831274165213106, -0.045123734451830384, -0.17380936786532403, 0.20144561157561838, -0.19461026733741163, -0.16989213299006223, 0.12751160637661815, 0.16971886092424393, 0.07847022674232722, -0.12009572776407003, 0.14201939962618054, -0.03397403726726771, 0.17667970766127108, 0.057913282059133056, 0.06667688546702266, 0.18073010765761138, 0.1925793092697859, 0.001791328115388751, 0.12092987218499184, -0.07478524996619672, -0.12157772496063263, -0.3332863383712247, -0.12731751522421836, -0.17451668692938985, 0.13347338563017547, -0.15983721113903449, -0.15658594074845314, 0.37143778045289216, 0.11305351252853871, 0.25755421866476536, 0.09177920253109187, 0.18969167371094225, 0.16303452758397907, 0.05960554609447718, 0.04252114786207676, 0.1588959365244955, 0.1499517814302817, 0.13112519838660955, -0.24257472162880003, 0.07110666185244918, 0.0874233528599143] |
708.2223 | Tau decay and the structure of the a1 | We analyse the decay $\tau\to\pi\pi\pi\nu$ based on the recently developed
techniques to generate axial-vector resonances dynamically. Under the
assumption that the a1 is a coupled-channel meson-molecule, the spectral
function is described surprisingly well by adjusting only one free parameter.
Including, in addition, an elementary a1 corrupts the results.
| hep-ph nucl-th | we analyse the decay tautopipipinu based on the recently developed techniques to generate axialvector resonances dynamically under the assumption that the a1 is a coupledchannel mesonmolecule the spectral function is described surprisingly well by adjusting only one free parameter including in addition an elementary a1 corrupts the results | [['we', 'analyse', 'the', 'decay', 'tautopipipinu', 'based', 'on', 'the', 'recently', 'developed', 'techniques', 'to', 'generate', 'axialvector', 'resonances', 'dynamically', 'under', 'the', 'assumption', 'that', 'the', 'a1', 'is', 'a', 'coupledchannel', 'mesonmolecule', 'the', 'spectral', 'function', 'is', 'described', 'surprisingly', 'well', 'by', 'adjusting', 'only', 'one', 'free', 'parameter', 'including', 'in', 'addition', 'an', 'elementary', 'a1', 'corrupts', 'the', 'results']] | [-0.07330701945592528, 0.17893681746341905, -0.09224702678013431, 0.0936523515417281, -0.06115152850828093, -0.15114213913962568, 0.029626546063176964, 0.3646965157240629, -0.23162463922863422, -0.251024063150196, 0.08346726295143447, -0.22242764772280402, -0.14209575708272218, 0.1605345102776166, -0.0011135897720637529, 0.05727524342744247, 0.02196903001901734, 0.07972892985233794, -0.03348374517594019, -0.18938736463947545, 0.3550085763082556, 0.030811112981451595, 0.2394726752182064, 0.07424452562143256, 0.06243153699957158, 0.06929735586290127, -0.01847406719689784, -0.06306167222235513, -0.1437476634906172, 0.08637245035851779, 0.15228647714399773, 0.0810388534674016, 0.21412982120502577, -0.3755165107710206, -0.2026912472008363, 0.08792774020896657, 0.15499447695101085, 0.10364000739165298, -0.0445112442400347, -0.31016836768907047, 0.12761419450702227, -0.16019700449364987, -0.1505425545974108, -0.10783369312791721, -0.017449658708241972, 0.02087889898077423, -0.336759046367977, 0.039952305044330984, 0.013047598662998771, 0.02238100904809392, -0.08272160404948922, -0.14806055022484582, 0.02917822823940736, 0.09640284087103994, 0.0583166284992805, 0.020447995776877455, 0.1612649998607357, -0.10436505634393341, -0.09078029591752135, 0.36561680593244406, -0.10359110869467258, -0.22860212283937828, 0.1603675763902214, -0.08908368982172207, -0.1283544774936593, 0.12041045429751925, 0.09680044335191665, 0.10620482283158471, -0.1736436970025787, 0.12953727574953836, -0.06104930670446028, 0.2191705273302353, 0.07402153102600056, 0.018655854672112542, 0.10260478779673576, 0.13256011062058742, 0.004594282267372246, 0.123521515153065, -0.05516818600565033, -0.09026647755957168, -0.31739374614604143, -0.05769531740604535, -0.20742007944246996, -0.0019210694236275942, -0.021041756921002398, -0.11063172137769668, 0.4221974650964789, 0.06524568755665551, 0.25056680600644776, -0.006431547687933072, 0.30888287144024734, 0.1657354928067197, 0.11650333237712798, 0.0765836821342616, 0.2931429205042229, 0.1415139603347558, 0.050259177279456155, -0.2294677022475061, 0.042080915351423595, 0.05516232759691775] |
708.2224 | Squeezed-light generation in a nonlinear planar waveguide with a
periodic corrugation | Two-mode nonlinear interaction (second-harmonic and second-subharmonic
generation) in a planar waveguide with a small periodic corrugation at the
surface is studied. Scattering of the interacting fields on the corrugation
leads to constructive interference that enhances the nonlinear process provided
that all the interactions are phase matched. Conditions for the overall phase
matching are found. Compared with a perfectly quasi-phase-matched waveguide,
better values of squeezing as well as higher intensities are reached under
these conditions. Procedure for finding optimum values of parameters for
squeezed-light generation is described.
| quant-ph | twomode nonlinear interaction secondharmonic and secondsubharmonic generation in a planar waveguide with a small periodic corrugation at the surface is studied scattering of the interacting fields on the corrugation leads to constructive interference that enhances the nonlinear process provided that all the interactions are phase matched conditions for the overall phase matching are found compared with a perfectly quasiphasematched waveguide better values of squeezing as well as higher intensities are reached under these conditions procedure for finding optimum values of parameters for squeezedlight generation is described | [['twomode', 'nonlinear', 'interaction', 'secondharmonic', 'and', 'secondsubharmonic', 'generation', 'in', 'a', 'planar', 'waveguide', 'with', 'a', 'small', 'periodic', 'corrugation', 'at', 'the', 'surface', 'is', 'studied', 'scattering', 'of', 'the', 'interacting', 'fields', 'on', 'the', 'corrugation', 'leads', 'to', 'constructive', 'interference', 'that', 'enhances', 'the', 'nonlinear', 'process', 'provided', 'that', 'all', 'the', 'interactions', 'are', 'phase', 'matched', 'conditions', 'for', 'the', 'overall', 'phase', 'matching', 'are', 'found', 'compared', 'with', 'a', 'perfectly', 'quasiphasematched', 'waveguide', 'better', 'values', 'of', 'squeezing', 'as', 'well', 'as', 'higher', 'intensities', 'are', 'reached', 'under', 'these', 'conditions', 'procedure', 'for', 'finding', 'optimum', 'values', 'of', 'parameters', 'for', 'squeezedlight', 'generation', 'is', 'described']] | [-0.15803123741995456, 0.181763825006783, -0.01834146169672157, 0.03806568604436189, -0.02418114745253047, -0.148031394294501, -0.008383229500776546, 0.44358980698987494, -0.21425735911484375, -0.2896569493811491, 0.059150133280592515, -0.2633087930031294, -0.13800094464555557, 0.2443516102814397, 0.016672285728503104, 0.0795521418659455, 0.054889679707716715, -0.006283286428295596, -0.0326732128457881, -0.19279561276266047, 0.29320180270994123, 0.053011501115898405, 0.33516584906380537, 0.04422204877279677, 0.06083872839591877, 0.015968417575539545, 0.05000292456730507, -0.009010055291921247, -0.09677029878722077, 0.0510680518562494, 0.23512213260306283, -0.005183189712074953, 0.18097773557637148, -0.41455573216080666, -0.22287827616470846, 0.03968654421353063, 0.12495630390151556, 0.14838977051942154, -0.05944554253919916, -0.2633672664808326, 0.05441078288090784, -0.08161405394893399, -0.14573748094614508, -0.04136775638150095, -0.01997709774065676, 0.04843085241736844, -0.36943829746180495, 0.06652123113920869, 0.03347573981371297, 0.027276008433207523, -0.041012531151821796, -0.08431462709640347, -0.07812777733657682, 0.08709554387754652, -0.03856913287356377, 0.0061900608869659346, 0.11863007980025221, -0.16149229146973337, -0.09134384446105985, 0.39775675920726256, -0.10411983630944822, -0.17784049551457512, 0.1629295804386222, -0.13930721779700456, -0.012545452412586052, 0.20096885124871203, 0.14008298863895063, 0.08858562143909376, -0.11806806855899997, 0.013563945574830096, 0.0028441985635909925, 0.17305434592674637, 0.1705202300827084, 0.08536612439554098, 0.19200538116815868, 0.1994996046279232, 0.07844644726719707, 0.17438352097713844, -0.05538653206827422, -0.08038544589328732, -0.307121075213302, -0.054853605279742285, -0.17082890152503455, -0.03256592044855879, -0.10732535552216536, -0.17643296712099812, 0.39164752052111423, 0.12997659144186696, 0.14960770321966604, 0.03549044658050894, 0.2827116177298215, 0.1845883591679943, 0.06558720941850266, 0.012868682756413554, 0.33894725904399314, 0.14900557863320288, 0.05441629079300477, -0.24182739107717954, 0.054873032933967406, -0.0005657464417434016] |
708.2225 | On equimultiple modules | We study the class of equimultiple modules. In particular, we prove several
criteria for an equimultiple module to be a complete intersection and prove the
openness of the equimultiple locus of an ideal module.
| math.AC math.AG | we study the class of equimultiple modules in particular we prove several criteria for an equimultiple module to be a complete intersection and prove the openness of the equimultiple locus of an ideal module | [['we', 'study', 'the', 'class', 'of', 'equimultiple', 'modules', 'in', 'particular', 'we', 'prove', 'several', 'criteria', 'for', 'an', 'equimultiple', 'module', 'to', 'be', 'a', 'complete', 'intersection', 'and', 'prove', 'the', 'openness', 'of', 'the', 'equimultiple', 'locus', 'of', 'an', 'ideal', 'module']] | [-0.20077460856341264, -0.07085693985658616, -0.07319317963864545, 0.05162816467311453, -0.024999306471299325, -0.10254533510819516, -0.04234769063837388, 0.35094660816385465, -0.3856697054032017, -0.1257379998398178, 0.15079792748164275, -0.20266659524949157, -0.14591185455484426, 0.23794876718345812, -0.15811662466320045, -0.03177684764651691, 0.08821936291368569, 0.08200117452617954, -0.03258975543191328, -0.28198986100580764, 0.45165262502782483, 0.005342241979258902, 0.24014425902243922, 0.11543446894296829, 0.1456108785727445, 0.022336934076841262, 0.001707231762873776, 0.027939101188060117, -0.21446530879749096, 0.1197798586834003, 0.300506931346129, 0.13659731313750587, 0.270544127725503, -0.329272478380624, -0.04822947882006273, 0.23898374439929337, 0.08661756045458947, 0.054682441548827815, 0.00905403435942443, -0.2019891792579609, 0.1782466612263199, -0.21945667518850634, -0.222309441470048, -0.06887308091801755, 0.03544127849368926, 0.0593096492195721, -0.3022273832055576, -0.12737130088841214, 0.13804074530215824, 0.19683447507593563, -0.09480600504834644, -0.030561424107016885, -0.03860998871352743, 0.1067183238645906, -0.0792406077405972, -0.009329982807257158, 0.09656960854087682, -0.16131696784321, -0.139800790216267, 0.3058132312315352, -0.04541866366258439, -0.18273708536563552, 0.1575889449347468, -0.14117281883955002, -0.14924432816641295, 0.09840808344511863, 0.1032489678438972, 0.1437306287972366, -0.09132415661588311, 0.09499816892168704, -0.1375572126468315, 0.059782048468204105, 0.04165319082162836, 0.023770334527773017, 0.1497548045042683, 0.15617099221494488, 0.11640318247544415, 0.21032521136529633, -0.022368103046627605, 0.0643119947053492, -0.3690361599711811, -0.33582635585437803, -0.0678852578789434, 0.058026810560156315, -0.0830791068245376, -0.19509761440841591, 0.4610302308026482, 0.09063711685731131, 0.2225914979901384, 0.11324427397373844, 0.18420046633657286, 0.05435807181193548, 0.03444104434428857, 0.08899487645420082, 0.16630271077156067, 0.14225370771087267, -0.047170272453085464, -0.12378329564543332, -0.03511792463798295, 0.17022918249644778] |
708.2226 | Coupling of frustrated Ising spins to magnetic cycloid in multiferroic
TbMnO3 | We report on diffraction measurements on multiferroic TbMnO3 which
demonstrate that the Tb- and Mn-magnetic orders are coupled below the
ferroelectric transition TFE = 28 K. For T < TFE the magnetic propagation
vectors (tau) for Tb and Mn are locked so that tauTb = tauMn, while below TNTb
= 7 K we find that tauTb and tauMn lock-in to rational values of 3/7 b* and 2/7
b*, respectively, and obey the relation 3tauTb - tauMn = 1. We explain this
novel matching of wave vectors within the frustrated ANNNI model coupled to a
periodic external field produced by the Mn-spin order. The tauTb = tauMn
behavior is recovered when Tb magnetization is small, while the tauTb = 3/7
regime is stabilized at low temperatures by a peculiar arrangement of domain
walls in the ordered state of Ising-like Tb spins.
| cond-mat.str-el cond-mat.mtrl-sci | we report on diffraction measurements on multiferroic tbmno3 which demonstrate that the tb and mnmagnetic orders are coupled below the ferroelectric transition tfe 28 k for t tfe the magnetic propagation vectors tau for tb and mn are locked so that tautb taumn while below tntb 7 k we find that tautb and taumn lockin to rational values of 37 b and 27 b respectively and obey the relation 3tautb taumn 1 we explain this novel matching of wave vectors within the frustrated annni model coupled to a periodic external field produced by the mnspin order the tautb taumn behavior is recovered when tb magnetization is small while the tautb 37 regime is stabilized at low temperatures by a peculiar arrangement of domain walls in the ordered state of isinglike tb spins | [['we', 'report', 'on', 'diffraction', 'measurements', 'on', 'multiferroic', 'tbmno3', 'which', 'demonstrate', 'that', 'the', 'tb', 'and', 'mnmagnetic', 'orders', 'are', 'coupled', 'below', 'the', 'ferroelectric', 'transition', 'tfe', '28', 'k', 'for', 't', 'tfe', 'the', 'magnetic', 'propagation', 'vectors', 'tau', 'for', 'tb', 'and', 'mn', 'are', 'locked', 'so', 'that', 'tautb', 'taumn', 'while', 'below', 'tntb', '7', 'k', 'we', 'find', 'that', 'tautb', 'and', 'taumn', 'lockin', 'to', 'rational', 'values', 'of', '37', 'b', 'and', '27', 'b', 'respectively', 'and', 'obey', 'the', 'relation', '3tautb', 'taumn', '1', 'we', 'explain', 'this', 'novel', 'matching', 'of', 'wave', 'vectors', 'within', 'the', 'frustrated', 'annni', 'model', 'coupled', 'to', 'a', 'periodic', 'external', 'field', 'produced', 'by', 'the', 'mnspin', 'order', 'the', 'tautb', 'taumn', 'behavior', 'is', 'recovered', 'when', 'tb', 'magnetization', 'is', 'small', 'while', 'the', 'tautb', '37', 'regime', 'is', 'stabilized', 'at', 'low', 'temperatures', 'by', 'a', 'peculiar', 'arrangement', 'of', 'domain', 'walls', 'in', 'the', 'ordered', 'state', 'of', 'isinglike', 'tb', 'spins']] | [-0.18018692791156354, 0.24985169972205767, 0.03829143775146804, 0.018136724476789823, -0.03540851220350305, -0.14979068388038286, 0.1168532310093724, 0.3569148138485616, -0.25594883702433435, -0.2915902426466346, 0.07055659756497334, -0.33343188869184814, -0.0863469372416148, 0.12437611177119834, 0.0739650127634377, -0.04283942277550068, -0.05912400105444249, 0.03662841109189685, -0.07823301096686919, -0.212852874690725, 0.2178474168866842, -0.027258442743914202, 0.2691592245173524, 0.008466412058623973, 0.08556764814784401, 0.015419100189319579, 0.12998521730332868, 0.02192771199042909, -0.15343450823405647, 0.025407099681615364, 0.21937676156812813, -0.0333235649177368, 0.1388824629393639, -0.3656220628472511, -0.14626339234382613, 0.03538717680385162, 0.1287542068403127, 0.08793957293073618, -0.015568410452942771, -0.2569918193075864, 0.1537442144963279, -0.09849258199392352, -0.11278026397849317, -0.12184101722232299, 0.01879270781228115, 0.013820901335748204, -0.3047033188486239, 0.12228291338396957, 0.10887881163262136, 0.14530662184552057, -0.0948951360223873, -0.1622495055607942, -0.06785873184344382, 0.014469838951526981, 0.0195259603942759, 0.11354553838827997, 0.1075006496575952, -0.056978432183314, -0.1057574089281843, 0.3310894623864442, -0.09550487299657107, -0.07072110338049242, 0.14541610256674176, -0.22786036976390278, -0.09159901081147837, 0.17843861841538455, 0.1120616229090956, 0.10112163174562738, -0.13150764447220809, 0.09958291879206627, 0.002450086045541866, 0.20811512305044744, 0.07742221796615922, -0.007187863300714525, 0.21256236740009626, 0.14023690615977102, 0.01875600069979555, 0.12252820562935085, -0.12080319523738581, -0.04459394978766795, -0.24905433283856837, -0.12234779915524996, -0.19107724032983242, 0.050938186569851496, -0.09644337791121416, -0.1256723559636157, 0.3500490750193421, 0.1423511446118937, 0.18928465190401766, 0.002504217486603011, 0.2053765132877743, 0.07818924224466173, 0.05464781485625281, 0.08821091063509812, 0.24989888169693586, 0.18835045108608028, 0.11836551206579315, -0.2506490899795608, 0.04145221113867592, 0.008984709238575306] |
708.2227 | On local $U$-statistic processes and the estimation of densities of
functions of several sample variables | A notion of local $U$-statistic process is introduced and central limit
theorems in various norms are obtained for it. This involves the development of
several inequalities for $U$-processes that may be useful in other contexts.
This local $U$-statistic process is based on an estimator of the density of a
function of several sample variables proposed by Frees [J. Amer. Statist.
Assoc. 89 (1994) 517--525] and, as a consequence, uniform in bandwidth central
limit theorems in the sup and in the $L_p$ norms are obtained for these
estimators.
| math.ST stat.TH | a notion of local ustatistic process is introduced and central limit theorems in various norms are obtained for it this involves the development of several inequalities for uprocesses that may be useful in other contexts this local ustatistic process is based on an estimator of the density of a function of several sample variables proposed by frees j amer statist assoc 89 1994 517525 and as a consequence uniform in bandwidth central limit theorems in the sup and in the l_p norms are obtained for these estimators | [['a', 'notion', 'of', 'local', 'ustatistic', 'process', 'is', 'introduced', 'and', 'central', 'limit', 'theorems', 'in', 'various', 'norms', 'are', 'obtained', 'for', 'it', 'this', 'involves', 'the', 'development', 'of', 'several', 'inequalities', 'for', 'uprocesses', 'that', 'may', 'be', 'useful', 'in', 'other', 'contexts', 'this', 'local', 'ustatistic', 'process', 'is', 'based', 'on', 'an', 'estimator', 'of', 'the', 'density', 'of', 'a', 'function', 'of', 'several', 'sample', 'variables', 'proposed', 'by', 'frees', 'j', 'amer', 'statist', 'assoc', '89', '1994', '517525', 'and', 'as', 'a', 'consequence', 'uniform', 'in', 'bandwidth', 'central', 'limit', 'theorems', 'in', 'the', 'sup', 'and', 'in', 'the', 'l_p', 'norms', 'are', 'obtained', 'for', 'these', 'estimators']] | [-0.061405276175761636, 0.03576446155260106, -0.10430380765911798, 0.0889373297634657, 0.009533460988381575, -0.07915959673457194, 0.0545199183817563, 0.33640715488514233, -0.24914794328600862, -0.28067302000221556, 0.15855936753579827, -0.22965471203937088, -0.10152722402613848, 0.2410730081718675, -0.15130873676389456, 0.066695271574264, 0.006271572296269411, -0.01944292256565288, -0.06282245348543362, -0.2717064764177383, 0.2762699583761914, 0.07491767833139314, 0.29535196240088457, 0.033653408381005015, 0.0816025209780999, 0.0652044938259953, -0.06554731377941925, 0.005787395763882371, -0.14358746791354904, 0.14905133561859296, 0.2875555337428354, 0.13310184749926246, 0.37590536843378874, -0.35362150224403216, -0.17328156908259315, 0.11639765660863283, 0.095290818947454, 0.007868130474762862, 0.0102514315296376, -0.2922701784301289, 0.09637392031808578, -0.16301656811129908, -0.12706029715644584, -0.10102422349154949, 0.07442900381148468, 0.0786969737815779, -0.36820725991585573, 0.16173944580043817, 0.1565838457175888, 0.06474643122258618, -0.021685787341232565, -0.17064302591173802, 0.010692830561649401, 0.05307440752120212, 0.05524070625299003, 0.01899059890596153, 0.11213493121917857, -0.09123465737739447, -0.13778731120793625, 0.2809944849591269, -0.0424646497812382, -0.19167478717755265, 0.18932481698399453, -0.10817640658121469, -0.18436746306847349, 0.05390326938115407, 0.14780042924766623, 0.1338753031003614, -0.19646194669266426, 0.14039013867041766, -0.06283136304105134, 0.06573413979522018, 0.10037763944155602, 0.056286613191586246, 0.10859965654306633, 0.10225224821979917, 0.12074902509664033, 0.12118378536827147, -0.07934489887110283, -0.10383730184091905, -0.31725463743299936, -0.17565341629521097, -0.2240109967695939, 0.04063447522605921, -0.16555997144602114, -0.13068936360176914, 0.3123640819387727, 0.11993048336427269, 0.18895046361403942, 0.059115140698850155, 0.16084769012157393, 0.15433365043637148, 0.03521157712350751, 0.10508169503720087, 0.2331198247712712, 0.20973392293875126, 0.08978297558699756, -0.09364413432448664, 0.05247573569135437, 0.14268729560954366] |
708.2228 | Sl(N) link homology using foams and the Kapustin-Li formula | We use foams to give a topological construction of a rational link homology
categorifying the slN link invariant, for N>3. To evaluate closed foams we use
the Kapustin-Li formula adapted to foams by Khovanov and Rozansky. We show that
for any link our homology is isomorphic to Khovanov and Rozansky's.
| math.GT math.QA | we use foams to give a topological construction of a rational link homology categorifying the sln link invariant for n3 to evaluate closed foams we use the kapustinli formula adapted to foams by khovanov and rozansky we show that for any link our homology is isomorphic to khovanov and rozanskys | [['we', 'use', 'foams', 'to', 'give', 'a', 'topological', 'construction', 'of', 'a', 'rational', 'link', 'homology', 'categorifying', 'the', 'sln', 'link', 'invariant', 'for', 'n3', 'to', 'evaluate', 'closed', 'foams', 'we', 'use', 'the', 'kapustinli', 'formula', 'adapted', 'to', 'foams', 'by', 'khovanov', 'and', 'rozansky', 'we', 'show', 'that', 'for', 'any', 'link', 'our', 'homology', 'is', 'isomorphic', 'to', 'khovanov', 'and', 'rozanskys']] | [-0.2317351085692644, 0.07677759321406484, -0.16738567426800727, 0.14152978253434412, -0.1350837378948927, -0.234944573212415, 0.01319488325389102, 0.3646346060931683, -0.3095475487038493, -0.20284479059278965, 0.09264839376322925, -0.18136916037648917, -0.2858423212077469, 0.14952981065027415, -0.2219435714557767, -0.019855269081890583, 0.06317132534924895, 0.04339322755578905, -0.10815081493463367, -0.2682537884265184, 0.34488124765455724, -0.027991316616535186, 0.22257812356576323, 0.12394003821536899, 0.08722180609125645, 0.048384067919105295, -0.04101732484996319, -0.040066428054124116, -0.3122190831469197, 0.15382736148312687, 0.32616493679583075, -0.00511934997048229, -0.008117851202841848, -0.39532629381865264, -0.10050920052861329, 0.1424811598099768, 0.12393741488456726, 0.002585622491315007, 0.022444121176376938, -0.24098808210343123, 0.1503750780597329, -0.28819639910012484, -0.12427456886507571, -0.15154316170141102, 0.016847490319050848, -0.03855989096686244, -0.17583510268479585, -0.05818865898996592, 0.040676234159618616, 0.09354984236881136, -0.022771152378991247, -0.040976767670363186, -0.0502329416712746, 0.17910608084872365, -0.034467686084099114, 0.07901299024000764, 0.1113949825335294, -0.12519421373828662, -0.21929029166698455, 0.35238338466733693, -0.0781550074648112, -0.30028736317530275, 0.16376698777079582, -0.08382787998765708, -0.2689374576881528, 0.14619220286607743, -0.03977499406784773, 0.10288212656974792, 0.032535305395722386, 0.11285522952442989, -0.11917001103982329, 0.06598351712804287, 0.0924726146273315, -0.08094275689683855, 0.15747151114046573, 0.041643614545464516, 0.08163207332603634, 0.23074244434013963, -0.008861914798617363, -0.08078127015382051, -0.2403973438590765, -0.3395340246759588, -0.1398483667615801, 0.1799246936221607, -0.09677058418805246, -0.1944755854876712, 0.35926972933113577, 0.09576507553458213, 0.15359571209177375, 0.26059998786076904, 0.27431413128972054, 0.0042575640161521735, 0.08747610032558441, 0.005932763917371631, 0.046588880475610495, 0.2526440040068701, 0.009424607306718825, -0.1036203327216208, -0.03510836347937584, 0.30227463468909266] |
708.2229 | Multi-phonon Raman scattering in GaN nanowires | UV Raman scattering studies show longitudinal optical (LO) mode up to 4th
order in wurtzite GaN nanowire system. Frohlich interaction of electron with
the long range electrostatic field of ionic bonded GaN gives rise to
enhancement in LO phonon modes. Good crystalline quality, as indicated by the
crystallographic as well as luminescence studies, is thought to be responsible
for this significant observation. Calculated size dependence, incorporating
size corrected dielectric constants, of electron-phonon interaction energy
agrees well with measured values and also predict stronger interaction energy
than that of the bulk for diameter below ~3 nm.
| cond-mat.mtrl-sci | uv raman scattering studies show longitudinal optical lo mode up to 4th order in wurtzite gan nanowire system frohlich interaction of electron with the long range electrostatic field of ionic bonded gan gives rise to enhancement in lo phonon modes good crystalline quality as indicated by the crystallographic as well as luminescence studies is thought to be responsible for this significant observation calculated size dependence incorporating size corrected dielectric constants of electronphonon interaction energy agrees well with measured values and also predict stronger interaction energy than that of the bulk for diameter below 3 nm | [['uv', 'raman', 'scattering', 'studies', 'show', 'longitudinal', 'optical', 'lo', 'mode', 'up', 'to', '4th', 'order', 'in', 'wurtzite', 'gan', 'nanowire', 'system', 'frohlich', 'interaction', 'of', 'electron', 'with', 'the', 'long', 'range', 'electrostatic', 'field', 'of', 'ionic', 'bonded', 'gan', 'gives', 'rise', 'to', 'enhancement', 'in', 'lo', 'phonon', 'modes', 'good', 'crystalline', 'quality', 'as', 'indicated', 'by', 'the', 'crystallographic', 'as', 'well', 'as', 'luminescence', 'studies', 'is', 'thought', 'to', 'be', 'responsible', 'for', 'this', 'significant', 'observation', 'calculated', 'size', 'dependence', 'incorporating', 'size', 'corrected', 'dielectric', 'constants', 'of', 'electronphonon', 'interaction', 'energy', 'agrees', 'well', 'with', 'measured', 'values', 'and', 'also', 'predict', 'stronger', 'interaction', 'energy', 'than', 'that', 'of', 'the', 'bulk', 'for', 'diameter', 'below', '3', 'nm']] | [-0.07733288911220275, 0.18748660975773085, 0.012408240678671158, 0.04925843240006974, -0.016740475368906597, -0.153077508624349, -0.002233879160332052, 0.4670510598507367, -0.21723849573417714, -0.3630021626815984, -0.06325981046661343, -0.29220437421708517, -0.07559652751262642, 0.18727429721896585, 0.03622000880147282, 0.029009787825481526, 0.003825602484376807, -0.0475361121303745, -0.03657979986532346, -0.1765630400322966, 0.20624926164623741, 0.10221461347843472, 0.33508606054084866, 0.1484352320334629, 0.028792541581941278, 0.05925694544995694, 0.06636943924976023, 0.013829917382252845, -0.15858163437844364, 0.06691239659527415, 0.26716233560705166, -0.15339666898239795, 0.1929252685047686, -0.4053305182262863, -0.2098524215778238, -0.02255941178453596, 0.15055597990163064, 0.1498377742637929, -0.027159463418157476, -0.22970499687485005, 0.03444999536793483, -0.13043765886441658, -0.13489308954633183, -0.053059904757691054, 0.0209011298224428, 0.012633041135574641, -0.268607111309508, 0.12655539667619833, 0.015444581752250853, 0.062176520377397536, -0.13369401200233322, -0.16811841934625255, -0.0963859848629095, 0.06575398946082905, 0.10163029659980614, 0.07539727763076753, 0.1942130236053153, -0.0882212901414421, -0.09880296464421247, 0.3880438403177418, -0.14699839851773025, -0.023273320202593154, 0.14122506791578704, -0.17177592257135793, 0.0038348895938772904, 0.24500082896924333, 0.13146414379834345, 0.043149895610986276, -0.11728898967420193, 0.04493321227338655, 0.04458434453332111, 0.23106146314377454, 0.12365198892933366, 0.15433164901639285, 0.15588394663247623, 0.20136222027266693, -0.02536414884226887, 0.10735869161343496, -0.0765291174738913, 0.004462535694045456, -0.25165987751740765, -0.13792670356710196, -0.21898351114727313, 0.08823781585516899, -0.103827001536602, -0.1793696344781079, 0.36246035004916943, 0.10016437396996863, 0.19490461488664884, -0.005101024006542406, 0.24285664185881614, 0.10777610476692835, 0.15593910061411168, -0.006943589941549458, 0.35241517099110703, 0.19767535480082427, 0.09242590128223559, -0.30323789984379945, 0.06766319134958873, -0.001415486599465734] |
708.223 | Collection analysis for Horn clause programs | We consider approximating data structures with collections of the items that
they contain. For examples, lists, binary trees, tuples, etc, can be
approximated by sets or multisets of the items within them. Such approximations
can be used to provide partial correctness properties of logic programs. For
example, one might wish to specify than whenever the atom $sort(t,s)$ is proved
then the two lists $t$ and $s$ contain the same multiset of items (that is, $s$
is a permutation of $t$). If sorting removes duplicates, then one would like to
infer that the sets of items underlying $t$ and $s$ are the same. Such results
could be useful to have if they can be determined statically and automatically.
We present a scheme by which such collection analysis can be structured and
automated. Central to this scheme is the use of linear logic as a omputational
logic underlying the logic of Horn clauses.
| cs.LO | we consider approximating data structures with collections of the items that they contain for examples lists binary trees tuples etc can be approximated by sets or multisets of the items within them such approximations can be used to provide partial correctness properties of logic programs for example one might wish to specify than whenever the atom sortts is proved then the two lists t and s contain the same multiset of items that is s is a permutation of t if sorting removes duplicates then one would like to infer that the sets of items underlying t and s are the same such results could be useful to have if they can be determined statically and automatically we present a scheme by which such collection analysis can be structured and automated central to this scheme is the use of linear logic as a omputational logic underlying the logic of horn clauses | [['we', 'consider', 'approximating', 'data', 'structures', 'with', 'collections', 'of', 'the', 'items', 'that', 'they', 'contain', 'for', 'examples', 'lists', 'binary', 'trees', 'tuples', 'etc', 'can', 'be', 'approximated', 'by', 'sets', 'or', 'multisets', 'of', 'the', 'items', 'within', 'them', 'such', 'approximations', 'can', 'be', 'used', 'to', 'provide', 'partial', 'correctness', 'properties', 'of', 'logic', 'programs', 'for', 'example', 'one', 'might', 'wish', 'to', 'specify', 'than', 'whenever', 'the', 'atom', 'sortts', 'is', 'proved', 'then', 'the', 'two', 'lists', 't', 'and', 's', 'contain', 'the', 'same', 'multiset', 'of', 'items', 'that', 'is', 's', 'is', 'a', 'permutation', 'of', 't', 'if', 'sorting', 'removes', 'duplicates', 'then', 'one', 'would', 'like', 'to', 'infer', 'that', 'the', 'sets', 'of', 'items', 'underlying', 't', 'and', 's', 'are', 'the', 'same', 'such', 'results', 'could', 'be', 'useful', 'to', 'have', 'if', 'they', 'can', 'be', 'determined', 'statically', 'and', 'automatically', 'we', 'present', 'a', 'scheme', 'by', 'which', 'such', 'collection', 'analysis', 'can', 'be', 'structured', 'and', 'automated', 'central', 'to', 'this', 'scheme', 'is', 'the', 'use', 'of', 'linear', 'logic', 'as', 'a', 'omputational', 'logic', 'underlying', 'the', 'logic', 'of', 'horn', 'clauses']] | [-0.09181492491593997, 0.1142609965262447, -0.06530035128379429, 0.10456672927674106, -0.1455057495392409, -0.15823857980817807, 0.0839371717325568, 0.3878174965463629, -0.33508125315076553, -0.3191290915874927, 0.12778634305155817, -0.3077100752196556, -0.07677420640783073, 0.16555805340715551, -0.08131095851246492, 0.02882240825151437, 0.059939715980033344, 0.08475750770545627, -0.021235322276592854, -0.30040301343007325, 0.30932923276977453, -0.02397708818566479, 0.166821719494167, -0.0020905721904522423, 0.07132505806672368, 0.010285737646521763, -0.021889803202935314, 0.10128403295397183, -0.062186426613524776, 0.11161446544785528, 0.35637926771586775, 0.259367305572901, 0.25806194101147756, -0.42244187252433507, -0.13348613877549467, 0.1302656194827232, 0.12123020565732626, 0.1144823574378224, 0.01829212583013929, -0.2506206110658924, 0.18099965483118974, -0.13408206722655353, -0.060125420888848355, -0.13052674357923086, 0.051721279728132605, 0.07492419846680941, -0.3131948582853047, -0.04720217175937989, 0.10384374079349194, 0.010988581861563077, 0.01715441441066538, -0.11782798925477186, -0.02780020718256499, 0.1206456187646836, -0.01827154703041376, 0.0029003999239746356, 0.12109395562539865, -0.04072402546576055, -0.16297551820792208, 0.394590496891897, -0.020421078761952816, -0.22859632547990882, 0.16917887848923796, -0.09268781703415534, -0.15448163199275983, 0.09696872464549922, 0.1411310503784342, 0.12375214762966955, -0.15167308887529293, 0.06500051973931391, -0.10688293455856158, 0.21510471774252668, 0.12346105477397624, 0.04839207530459202, 0.2256995535286881, 0.13434510252394732, 0.0467229006177552, 0.13806038474017165, -0.018335865634132566, -0.0057098825818440255, -0.29180934084516846, -0.1643251378414215, -0.16324284626483518, 0.025510683737776475, -0.09592016648728519, -0.1766692804760181, 0.32433383153053585, 0.15134592748078324, 0.20073547683681217, 0.06164859840411993, 0.24969245625297296, 0.11741256730665371, 0.12298253351734989, 0.091657986664432, 0.10711919080509785, 0.07470591247844316, 0.035861846581476446, -0.12271591343591927, 0.14908330347513993, 0.08026438472392475] |
708.2231 | Pathway parameter and thermonuclear functions | In the theory of thermonuclear reaction rates, analytical evaluation of
thermonuclear functions for non-resonant reactions, including cases with
cut-off and depletion of the tail of the Maxwell-Boltzmann distribution
function were considered in a series of papers by Mathai and Haubold (1988). In
the present paper we study more general classes of thermonuclear functions by
introducing a pathway parameter alpha, so that when alpha --> 1 the
thermonuclear functions in the Maxwell-Boltzmannian case are recovered. We will
also give interpretations for the pathway parameter alpha in the case of
cut-off and in terms of moments.
| cond-mat.stat-mech math.CA | in the theory of thermonuclear reaction rates analytical evaluation of thermonuclear functions for nonresonant reactions including cases with cutoff and depletion of the tail of the maxwellboltzmann distribution function were considered in a series of papers by mathai and haubold 1988 in the present paper we study more general classes of thermonuclear functions by introducing a pathway parameter alpha so that when alpha 1 the thermonuclear functions in the maxwellboltzmannian case are recovered we will also give interpretations for the pathway parameter alpha in the case of cutoff and in terms of moments | [['in', 'the', 'theory', 'of', 'thermonuclear', 'reaction', 'rates', 'analytical', 'evaluation', 'of', 'thermonuclear', 'functions', 'for', 'nonresonant', 'reactions', 'including', 'cases', 'with', 'cutoff', 'and', 'depletion', 'of', 'the', 'tail', 'of', 'the', 'maxwellboltzmann', 'distribution', 'function', 'were', 'considered', 'in', 'a', 'series', 'of', 'papers', 'by', 'mathai', 'and', 'haubold', '1988', 'in', 'the', 'present', 'paper', 'we', 'study', 'more', 'general', 'classes', 'of', 'thermonuclear', 'functions', 'by', 'introducing', 'a', 'pathway', 'parameter', 'alpha', 'so', 'that', 'when', 'alpha', '1', 'the', 'thermonuclear', 'functions', 'in', 'the', 'maxwellboltzmannian', 'case', 'are', 'recovered', 'we', 'will', 'also', 'give', 'interpretations', 'for', 'the', 'pathway', 'parameter', 'alpha', 'in', 'the', 'case', 'of', 'cutoff', 'and', 'in', 'terms', 'of', 'moments']] | [-0.057841421073673155, 0.12556834765259298, -0.05857540864869201, 0.08208041934556859, 0.005635307866439063, -0.09472524437813028, 0.06581550744682631, 0.3303561980325368, -0.21011794549262813, -0.26946683236027275, 0.019791177586622296, -0.2771531629566384, -0.14099460300458697, 0.2409339479461152, -0.029670381337724705, 0.04325610056259139, 0.04749312810599804, -0.00721326974090389, -0.06330874224533878, -0.2239711353147242, 0.3824854002281603, 0.09710361888652207, 0.17367620004080636, 0.041028799939780466, 0.0050001686153512805, -0.022976434028517175, -0.03479001900902198, -0.07123754392940158, -0.2043174840638981, 0.07824732526455835, 0.25684342367113916, 0.11136265994820704, 0.2433050746919327, -0.40043582414747564, -0.2628291895142406, 0.09158103471879737, 0.15471722968723825, 0.045575140144235346, -0.04618467073915752, -0.21854419120266955, 0.03690610872581601, -0.2283552285604259, -0.12616329402813026, -0.04981936522388971, 0.10180271072914043, 0.11644961002723424, -0.31150669147891386, 0.13994313675568498, 0.0684930404337744, 0.05504130379807565, -0.10209558877132592, -0.15733844028680674, 0.033088965596811425, 0.07172321396415442, 0.09855140030624406, -0.0115280709419054, 0.10409866704014681, -0.15162169079418966, -0.08001786436865567, 0.3500352632654931, -0.05657775945941447, -0.1696813594630008, 0.13800242245547795, -0.1957147357064069, -0.16831849007717065, 0.11623584520151858, 0.13102852867575743, 0.16394827609020535, -0.1532109347405225, 0.07909999034550261, 0.02133232022144942, 0.10103920479655586, 0.10662996941696733, 0.002341899983910343, 0.11713439035629954, 0.11973322358893691, -0.007654913016394662, 0.14166245391211843, -0.08756288075919753, -0.0572247538084705, -0.3677854944941818, -0.14150029848459908, -0.11238652786179897, 0.06683574076391437, -0.04957728307166572, -0.15320224743536723, 0.36868836115845427, 0.0619480597225809, 0.18846200533731972, 0.053253144013284834, 0.1954362091498189, 0.17113808100612493, -0.003998989554783029, 0.023629941654601885, 0.24178434497306264, 0.12885691770302352, 0.07744799268692332, -0.17439402416298386, 0.09879764635115862, 0.08493255605039898] |
708.2232 | Variational quantum Monte Carlo simulations with tensor-network states | We show that the formalism of tensor-network states, such as the matrix
product states (MPS), can be used as a basis for variational quantum Monte
Carlo simulations. Using a stochastic optimization method, we demonstrate the
potential of this approach by explicit MPS calculations for the transverse
Ising chain with up to N=256 spins at criticality, using periodic boundary
conditions and D*D matrices with D up to 48. The computational cost of our
scheme formally scales as ND^3, whereas standard MPS approaches and the related
density matrix renromalization group method scale as ND^5 and ND^6,
respectively, for periodic systems.
| cond-mat.str-el cond-mat.stat-mech | we show that the formalism of tensornetwork states such as the matrix product states mps can be used as a basis for variational quantum monte carlo simulations using a stochastic optimization method we demonstrate the potential of this approach by explicit mps calculations for the transverse ising chain with up to n256 spins at criticality using periodic boundary conditions and dd matrices with d up to 48 the computational cost of our scheme formally scales as nd3 whereas standard mps approaches and the related density matrix renromalization group method scale as nd5 and nd6 respectively for periodic systems | [['we', 'show', 'that', 'the', 'formalism', 'of', 'tensornetwork', 'states', 'such', 'as', 'the', 'matrix', 'product', 'states', 'mps', 'can', 'be', 'used', 'as', 'a', 'basis', 'for', 'variational', 'quantum', 'monte', 'carlo', 'simulations', 'using', 'a', 'stochastic', 'optimization', 'method', 'we', 'demonstrate', 'the', 'potential', 'of', 'this', 'approach', 'by', 'explicit', 'mps', 'calculations', 'for', 'the', 'transverse', 'ising', 'chain', 'with', 'up', 'to', 'n256', 'spins', 'at', 'criticality', 'using', 'periodic', 'boundary', 'conditions', 'and', 'dd', 'matrices', 'with', 'd', 'up', 'to', '48', 'the', 'computational', 'cost', 'of', 'our', 'scheme', 'formally', 'scales', 'as', 'nd3', 'whereas', 'standard', 'mps', 'approaches', 'and', 'the', 'related', 'density', 'matrix', 'renromalization', 'group', 'method', 'scale', 'as', 'nd5', 'and', 'nd6', 'respectively', 'for', 'periodic', 'systems']] | [-0.07508801626196752, 0.133659769926453, -0.08223712243974053, 0.05597979714972704, 0.04113808373464659, -0.13396596504753688, 0.06314681789808674, 0.3825907588082676, -0.27662158678867854, -0.31148268133498885, 0.11852466495292902, -0.2351194411603501, -0.13447337218288644, 0.17673149457308077, 0.07490418265903524, 0.13896640848057965, 0.08950591925531626, 0.0016818945053576801, -0.15227903684778235, -0.20529648554899418, 0.2876330601876968, 0.04200225245464632, 0.25067102441486594, 0.031241297411421936, 0.10942120347075009, 0.009496566262290193, 0.06653196354151684, 0.01223357742613492, -0.09466024657293322, 0.10237335111620875, 0.24096901663870085, 0.06784968647601393, 0.23704470326227542, -0.4270850951240088, -0.18762708192177038, 0.05593850645770241, 0.15279584359541332, 0.16442897066978426, 0.011792238966639465, -0.3047846225235844, 0.0715640116832219, -0.23832627541560214, -0.15383850961128095, -0.1564502802042019, -0.02994213230461658, 0.006777734185258548, -0.3084313398285303, 0.11865779280196875, -0.021332400297978893, 0.04292595555481663, -0.02135201402415987, -0.16475992832662692, -0.01597398330704891, 0.07683046575524106, 0.006414844721196762, 0.05145128432680698, 0.12625136043061502, -0.0382501523248114, -0.1932488459375842, 0.35046606851392426, -0.08009793617141743, -0.23383934521310343, 0.19532723288345247, -0.07119435937299083, -0.14023025582234064, 0.1106172099437875, 0.160313183470862, 0.12123930893236927, -0.12392707128310576, 0.09782020603900794, -0.015540656493006585, 0.16425229293721108, 0.0006579803981973479, 0.0024926618692309908, 0.11395146017684965, 0.14545346841138476, 0.08427496355337401, 0.1403687589081528, -0.07336071136281437, -0.1406563991282989, -0.2639802454020052, -0.17593681349023882, -0.26234424094824743, 0.06140309235585543, -0.12453373334771338, -0.16665192061918788, 0.3706039774977323, 0.1505966121728098, 0.15134319414695105, 0.08750598078040639, 0.23380073897230128, 0.11537730698789044, 0.06694853157387115, 0.09745694393253264, 0.1375259756411348, 0.1896381640447847, 0.047101107358078785, -0.257214484855164, -0.008933489877866426, 0.10687687606696272] |
708.2233 | A complement to Le Cam's theorem | This paper examines asymptotic equivalence in the sense of Le Cam between
density estimation experiments and the accompanying Poisson experiments. The
significance of asymptotic equivalence is that all asymptotically optimal
statistical procedures can be carried over from one experiment to the other.
The equivalence given here is established under a weak assumption on the
parameter space $\mathcal{F}$. In particular, a sharp Besov smoothness
condition is given on $\mathcal{F}$ which is sufficient for Poissonization,
namely, if $\mathcal{F}$ is in a Besov ball $B_{p,q}^{\alpha}(M)$ with $\alpha
p>1/2$. Examples show Poissonization is not possible whenever $\alpha p<1/2$.
In addition, asymptotic equivalence of the density estimation model and the
accompanying Poisson experiment is established for all compact subsets of
$C([0,1]^m)$, a condition which includes all H\"{o}lder balls with smoothness
$\alpha>0$.
| math.ST stat.TH | this paper examines asymptotic equivalence in the sense of le cam between density estimation experiments and the accompanying poisson experiments the significance of asymptotic equivalence is that all asymptotically optimal statistical procedures can be carried over from one experiment to the other the equivalence given here is established under a weak assumption on the parameter space mathcalf in particular a sharp besov smoothness condition is given on mathcalf which is sufficient for poissonization namely if mathcalf is in a besov ball b_pqalpham with alpha p12 examples show poissonization is not possible whenever alpha p12 in addition asymptotic equivalence of the density estimation model and the accompanying poisson experiment is established for all compact subsets of c01m a condition which includes all holder balls with smoothness alpha0 | [['this', 'paper', 'examines', 'asymptotic', 'equivalence', 'in', 'the', 'sense', 'of', 'le', 'cam', 'between', 'density', 'estimation', 'experiments', 'and', 'the', 'accompanying', 'poisson', 'experiments', 'the', 'significance', 'of', 'asymptotic', 'equivalence', 'is', 'that', 'all', 'asymptotically', 'optimal', 'statistical', 'procedures', 'can', 'be', 'carried', 'over', 'from', 'one', 'experiment', 'to', 'the', 'other', 'the', 'equivalence', 'given', 'here', 'is', 'established', 'under', 'a', 'weak', 'assumption', 'on', 'the', 'parameter', 'space', 'mathcalf', 'in', 'particular', 'a', 'sharp', 'besov', 'smoothness', 'condition', 'is', 'given', 'on', 'mathcalf', 'which', 'is', 'sufficient', 'for', 'poissonization', 'namely', 'if', 'mathcalf', 'is', 'in', 'a', 'besov', 'ball', 'b_pqalpham', 'with', 'alpha', 'p12', 'examples', 'show', 'poissonization', 'is', 'not', 'possible', 'whenever', 'alpha', 'p12', 'in', 'addition', 'asymptotic', 'equivalence', 'of', 'the', 'density', 'estimation', 'model', 'and', 'the', 'accompanying', 'poisson', 'experiment', 'is', 'established', 'for', 'all', 'compact', 'subsets', 'of', 'c01m', 'a', 'condition', 'which', 'includes', 'all', 'holder', 'balls', 'with', 'smoothness', 'alpha0']] | [-0.1379501219977805, 0.1181708980922497, -0.08536444130661566, 0.09112973468783762, -0.05538721559494133, -0.15791744796649343, 0.03562368954730881, 0.3564059676061715, -0.24705147342155537, -0.22339215211480135, 0.11224972231749204, -0.25101018739834186, -0.11710348351287746, 0.18788261204064194, -0.10864323947293263, 0.08192552325330794, 0.0672241817566476, 0.09805016283456597, -0.09695132137248068, -0.26155700034371787, 0.36187840957990697, 0.021433656614634297, 0.2779965477943, 0.008679770377761263, 0.12426632606694775, -0.011138134711091556, 0.009530565939888718, 0.011396328065940554, -0.2264804630674682, 0.0586421774970668, 0.24928233637324265, 0.12426742375828326, 0.299321690739523, -0.2988403123397861, -0.18660433049644193, 0.20300139017373084, 0.1035808652954837, -0.022855423471604984, -0.012242095644450597, -0.27144623781374144, 0.14266970156571798, -0.10454183679464604, -0.1420431827615586, -0.05393553741516605, 0.04513705217640006, 0.07922644730311848, -0.36647339730388334, 0.07889383382749773, 0.13216732431112999, 0.05094425165049371, -0.07659367917221971, -0.079476130538575, -0.003870980378480688, 0.05553030467502052, 0.05642820753611534, 0.03259949327254998, 0.07297948050132443, -0.05743605083027374, -0.04534612735827273, 0.32370204885580367, -0.05557753988391449, -0.25333116054835336, 0.14794767388112604, -0.1937607908696537, -0.17169700654959608, 0.08194108395236394, 0.08865791614798288, 0.11828834284848024, -0.11463239798021893, 0.19831168879060104, -0.0806864142782175, 0.15858250496826404, 0.10551584110550222, 0.02726889654408179, 0.08623846034489331, 0.13089693441138334, 0.13960396084181528, 0.14018859846034884, -0.06570507341530174, -0.06652580612130658, -0.42275591065446216, -0.15597352892490884, -0.18752152793721535, 0.07965716387104382, -0.13663608158329285, -0.15681333394510852, 0.31164779876463955, 0.11629666984006162, 0.1701186782560281, 0.0852972931667952, 0.2168223427518481, 0.08841940736155882, -0.026822127743564066, 0.08695880679466252, 0.20817944330854282, 0.1302433490993515, -0.0005831533804490802, -0.1269375034213637, 0.10037830221887317, 0.12530112019064085] |
708.2234 | Bose-Einstein condensation of a Knudsen gas | We reconcile a long-standing controversy regarding the transition temperature
of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing
that there is a crossover between ideal gas and interacting gas. The former
corresponds to a Knudsen (or collisionless) regime, in which the mean-free-path
is much larger than the system dimension, while the latter corresponds to the
opposite hydrodynamic regime. The deviation of the transition temperature from
that of the non-interacting gas is proportional to the square root of a in the
Knudsen regime, and to a in the hydrodynamic regime, where a is the scattering
length. This crossover may be observable in a Bose gas trapped in a potential
or on an optical lattice.
| cond-mat.stat-mech | we reconcile a longstanding controversy regarding the transition temperature of the boseeinstein condensation in a dilute interacting bose gas by showing that there is a crossover between ideal gas and interacting gas the former corresponds to a knudsen or collisionless regime in which the meanfreepath is much larger than the system dimension while the latter corresponds to the opposite hydrodynamic regime the deviation of the transition temperature from that of the noninteracting gas is proportional to the square root of a in the knudsen regime and to a in the hydrodynamic regime where a is the scattering length this crossover may be observable in a bose gas trapped in a potential or on an optical lattice | [['we', 'reconcile', 'a', 'longstanding', 'controversy', 'regarding', 'the', 'transition', 'temperature', 'of', 'the', 'boseeinstein', 'condensation', 'in', 'a', 'dilute', 'interacting', 'bose', 'gas', 'by', 'showing', 'that', 'there', 'is', 'a', 'crossover', 'between', 'ideal', 'gas', 'and', 'interacting', 'gas', 'the', 'former', 'corresponds', 'to', 'a', 'knudsen', 'or', 'collisionless', 'regime', 'in', 'which', 'the', 'meanfreepath', 'is', 'much', 'larger', 'than', 'the', 'system', 'dimension', 'while', 'the', 'latter', 'corresponds', 'to', 'the', 'opposite', 'hydrodynamic', 'regime', 'the', 'deviation', 'of', 'the', 'transition', 'temperature', 'from', 'that', 'of', 'the', 'noninteracting', 'gas', 'is', 'proportional', 'to', 'the', 'square', 'root', 'of', 'a', 'in', 'the', 'knudsen', 'regime', 'and', 'to', 'a', 'in', 'the', 'hydrodynamic', 'regime', 'where', 'a', 'is', 'the', 'scattering', 'length', 'this', 'crossover', 'may', 'be', 'observable', 'in', 'a', 'bose', 'gas', 'trapped', 'in', 'a', 'potential', 'or', 'on', 'an', 'optical', 'lattice']] | [-0.13561568965438897, 0.22188888520420355, -0.09599379639558751, 0.041144383588508734, 0.026005266563453037, -0.13195327134273047, 0.04126410081918384, 0.2757527391137234, -0.24013835610821843, -0.2172691892975026, 0.036683942177252654, -0.33349687652662396, -0.040395888798982545, 0.14493832361466927, 0.030639492447993813, -0.0013564319654913812, -0.031762652536693574, 0.03487946874068665, -0.07649642098614753, -0.20626824097065577, 0.32780010889059513, 0.0771915378161417, 0.25892618054459837, 0.0864052126396865, 0.08340772957107502, -0.07438279528202563, 0.09069786733016372, 0.05351194473593656, -0.1586805680724802, 0.01497194930160386, 0.21165157602658366, -0.06503891837502156, 0.26624879197635015, -0.384112780881596, -0.2292208199967341, 0.11291997163990063, 0.2102388412579252, 0.15814867856659412, -0.020773161119371972, -0.23397330997575974, -0.048495728008705996, -0.1809445770682189, -0.17242775119214865, 0.02038444811076825, 0.057276231887075923, -0.006347566959949949, -0.2834546806949094, 0.16645965788609765, 0.08565023498497261, 0.05630712716133687, -0.04373128007789311, -0.021550356276967594, 0.03351092503952055, 0.04698399089754495, 0.0309912959025402, 0.06916800623053107, 0.1518483571467343, -0.2077124406531421, -0.006352848409482375, 0.4591882395164656, -0.10753088293997029, -0.12442591301454552, 0.2623842468541437, -0.23073904641004728, -0.02361908951244349, 0.20891367617577059, 0.13082166332380188, 0.04513978958932747, -0.11146885579740949, 0.054732309259947966, -0.13726704180690236, 0.1838498770275378, 0.048764191070121934, 0.0034967416592327685, 0.30577932705235633, 0.21792709790491338, 0.026485993815907116, 0.1749117144068366, -0.08542347487246875, -0.14292571189460054, -0.258747197651497, -0.17641618871932913, -0.24753099784319257, 0.07358377181186244, -0.06092444253088866, -0.15966689836330197, 0.31611765870535424, 0.17998558930061148, 0.24117753414661977, 0.01648934042293996, 0.2933127604954844, 0.1549116533715278, 0.0505158249409227, 0.06346305734819155, 0.2655407311876529, 0.16052701988895746, 0.09033408654042809, -0.3022761399343867, 0.009962292159265229, 0.06622295376266642] |
708.2235 | Realizing modules over the homology of a DGA | Let A be a DGA over a field and X a module over H_*(A). Fix an
$A_\infty$-structure on H_*(A) making it quasi-isomorphic to A. We construct an
equivalence of categories between A_{n+1}-module structures on X and length n
Postnikov systems in the derived category of A-modules based on the bar
resolution of X. This implies that quasi-isomorphism classes of A_n-structures
on X are in bijective correspondence with weak equivalence classes of
rigidifications of the first n terms of the bar resolution of X to a complex of
A-modules. The above equivalences of categories are compatible for different
values of n. This implies that two obstruction theories for realizing X as the
homology of an A-module coincide.
| math.AT math.RA | let a be a dga over a field and x a module over h_a fix an a_inftystructure on h_a making it quasiisomorphic to a we construct an equivalence of categories between a_n1module structures on x and length n postnikov systems in the derived category of amodules based on the bar resolution of x this implies that quasiisomorphism classes of a_nstructures on x are in bijective correspondence with weak equivalence classes of rigidifications of the first n terms of the bar resolution of x to a complex of amodules the above equivalences of categories are compatible for different values of n this implies that two obstruction theories for realizing x as the homology of an amodule coincide | [['let', 'a', 'be', 'a', 'dga', 'over', 'a', 'field', 'and', 'x', 'a', 'module', 'over', 'h_a', 'fix', 'an', 'a_inftystructure', 'on', 'h_a', 'making', 'it', 'quasiisomorphic', 'to', 'a', 'we', 'construct', 'an', 'equivalence', 'of', 'categories', 'between', 'a_n1module', 'structures', 'on', 'x', 'and', 'length', 'n', 'postnikov', 'systems', 'in', 'the', 'derived', 'category', 'of', 'amodules', 'based', 'on', 'the', 'bar', 'resolution', 'of', 'x', 'this', 'implies', 'that', 'quasiisomorphism', 'classes', 'of', 'a_nstructures', 'on', 'x', 'are', 'in', 'bijective', 'correspondence', 'with', 'weak', 'equivalence', 'classes', 'of', 'rigidifications', 'of', 'the', 'first', 'n', 'terms', 'of', 'the', 'bar', 'resolution', 'of', 'x', 'to', 'a', 'complex', 'of', 'amodules', 'the', 'above', 'equivalences', 'of', 'categories', 'are', 'compatible', 'for', 'different', 'values', 'of', 'n', 'this', 'implies', 'that', 'two', 'obstruction', 'theories', 'for', 'realizing', 'x', 'as', 'the', 'homology', 'of', 'an', 'amodule', 'coincide']] | [-0.2222732059014714, 0.06864424067921833, -0.05217308237884952, 0.04529499234343195, -0.009235242019053054, -0.13393451175363982, -0.013211370313919224, 0.39565585804196585, -0.35941190667351525, -0.21140747304709084, 0.03667568528521971, -0.2100048145130936, -0.08222273982591531, 0.2069580626851195, -0.1211352296157089, -0.0909946162769503, 0.038617366650842325, 0.11323191193385726, -0.12783746558562975, -0.2432126215034766, 0.4323968533756195, -0.03593280139395687, 0.20351462029909664, 0.014090476100192924, 0.17441584518904577, -0.022713172220649707, 0.03319209891544506, 0.0269672854368748, -0.15258744684528597, 0.15288484227983692, 0.29990018548163694, 0.06996855804020852, 0.16178522246737298, -0.32935255035692085, -0.08962180809966758, 0.1715239680627674, 0.11458469706430899, -0.03454197701726076, 0.031166503226499907, -0.2874107921281747, 0.16715029920904642, -0.18168152929736978, -0.06778990421279342, -0.04411766155771252, 0.13610522400905106, 0.0068379960896496755, -0.28414305372872445, -0.061558174257850755, 0.08191177698956655, 0.1294975074057558, -0.06470265942089985, -0.08356138745701946, -0.07237501739549031, 0.09893634988291733, -0.022749342588889124, 0.08847733643482876, 0.08201074875083512, -0.1265085083844585, -0.13522023585649717, 0.3455542484875274, -0.07427928390793205, -0.19892757340639303, 0.17025858394603813, -0.13641734044809323, -0.16418430949684926, 0.16257884020430852, 0.05397115402187394, 0.16658602675538411, -0.011490841404394766, 0.22186780977165904, -0.13802661824213192, 0.14694161769167513, 0.10476090349421828, 0.023188693349999664, 0.1721780953243214, 0.14390106748921416, 0.08007367109298805, 0.09739626812505478, -0.000998296746077527, -0.010363262096745481, -0.3892586367468523, -0.2425099234055497, -0.0797610614959777, 0.1689238740250765, -0.09224540457532296, -0.15873225190701473, 0.3486770699872116, 0.1275984823819151, 0.27535305101737645, 0.13755682650417814, 0.20390894198048432, 0.01446867559776864, 0.06742843986381736, -0.004205585090624811, 0.1203280114527561, 0.2604045890636363, -0.02322669073205804, -0.0998773526944286, -0.0076047982938126125, 0.1909641952014866] |
708.2236 | Large-order shifted 1/N expansions through the asymptotic iteration
method | The perturbation technique within the framework of the asymptotic iteration
method is used to obtain large-order shifted 1/N expansions, where N is the
number of spatial dimensions. This method is contrary to the usual
Rayleigh-Schr\"{o}dinger perturbation theory, no matrix elements need to be
calculated. The method is applied to the Schr\"{o}dinger equation and the
non-polynomial potential $V(r)=r^2+\frac{b r^2}{(1+cr^2)}$ in three dimensions
is discussed as an illustrative example.
| quant-ph | the perturbation technique within the framework of the asymptotic iteration method is used to obtain largeorder shifted 1n expansions where n is the number of spatial dimensions this method is contrary to the usual rayleighschrodinger perturbation theory no matrix elements need to be calculated the method is applied to the schrodinger equation and the nonpolynomial potential vrr2fracb r21cr2 in three dimensions is discussed as an illustrative example | [['the', 'perturbation', 'technique', 'within', 'the', 'framework', 'of', 'the', 'asymptotic', 'iteration', 'method', 'is', 'used', 'to', 'obtain', 'largeorder', 'shifted', '1n', 'expansions', 'where', 'n', 'is', 'the', 'number', 'of', 'spatial', 'dimensions', 'this', 'method', 'is', 'contrary', 'to', 'the', 'usual', 'rayleighschrodinger', 'perturbation', 'theory', 'no', 'matrix', 'elements', 'need', 'to', 'be', 'calculated', 'the', 'method', 'is', 'applied', 'to', 'the', 'schrodinger', 'equation', 'and', 'the', 'nonpolynomial', 'potential', 'vrr2fracb', 'r21cr2', 'in', 'three', 'dimensions', 'is', 'discussed', 'as', 'an', 'illustrative', 'example']] | [-0.06726737815456894, 0.05523284118680749, -0.12033325104186168, 0.08223756263032556, -0.046495881941742624, -0.13064184058457612, -0.020452037147389582, 0.3288788604908265, -0.2444597291545226, -0.25468926531477615, 0.08675213367857326, -0.29620008343973986, -0.19560640870163648, 0.14706477694786513, 0.0039383286001304025, 0.0825449722720525, -0.01529924669661201, 0.10887480807992128, -0.05876955272486577, -0.2703315284532996, 0.2917018354583818, 0.007861176294346269, 0.25802026093006136, 0.015217604874991453, 0.047961684115804155, -0.03626380174492414, -0.002947365757651054, 0.023612952404297314, -0.08843367615571389, 0.12356334198624469, 0.24146055771181216, 0.07644902400206774, 0.29771318200689095, -0.4173394845941892, -0.2001761901550568, 0.07320041549033844, 0.1901763808268767, 0.1747772297105537, -0.0005330659019259306, -0.25251397117972374, 0.08992390019389299, -0.18400741162208412, -0.259142767616476, -0.13694003611588135, -0.006747477874159813, -0.025978691861606562, -0.35348508485521263, 0.08509319865932831, 0.015182521117206376, 0.00271002366565741, -0.02216123563165848, -0.11903311277811345, 0.028638710640370844, 0.0856356746946963, 0.07553077160667342, 0.0437885465601889, 0.0686538552148984, -0.04456257125577674, -0.07785857224550385, 0.40169262615247414, -0.0838715715190539, -0.2590819535490412, 0.10768406401710728, -0.12570101670347728, -0.10362635895323295, 0.10040116447668809, 0.11620652852624726, 0.1748882554184932, -0.1408373187511013, 0.18061204507427578, 0.023037575600812068, 0.17493444306847566, 0.08650889769554711, -0.02300061379523518, 0.05732841557608201, 0.13678014643060474, 0.053122135194448326, 0.12049268865778756, -0.03972100419923663, -0.13469429228168267, -0.3459811323537276, -0.11284081110587486, -0.2372103409626736, 0.005866994579824118, -0.15928180277181897, -0.18730254416855482, 0.3646253283493794, 0.17794793055464442, 0.1422661908544027, 0.016209442999500494, 0.3020849113280957, 0.23963570061605424, 0.05374310936492223, 0.023134682406313143, 0.17986426243486886, 0.2029652083149323, 0.08036982755248363, -0.23227439305673425, -0.036907748634425495, 0.20919878046888] |
708.2237 | A generation-based particle-hole density-matrix renormalization group
study of interacting quantum dots | The particle-hole version of the density-matrix renormalization-group method
(PH-DMRG) is utilized to calculate the ground-state energy of an interacting
two-dimensional quantum dot. We show that a modification of the method, termed
generation-based PH-DMRG, leads to significant improvement of the results, and
discuss its feasibility for the treatment of large systems. As another
application we calculate the addition spectrum.
| cond-mat.dis-nn cond-mat.str-el | the particlehole version of the densitymatrix renormalizationgroup method phdmrg is utilized to calculate the groundstate energy of an interacting twodimensional quantum dot we show that a modification of the method termed generationbased phdmrg leads to significant improvement of the results and discuss its feasibility for the treatment of large systems as another application we calculate the addition spectrum | [['the', 'particlehole', 'version', 'of', 'the', 'densitymatrix', 'renormalizationgroup', 'method', 'phdmrg', 'is', 'utilized', 'to', 'calculate', 'the', 'groundstate', 'energy', 'of', 'an', 'interacting', 'twodimensional', 'quantum', 'dot', 'we', 'show', 'that', 'a', 'modification', 'of', 'the', 'method', 'termed', 'generationbased', 'phdmrg', 'leads', 'to', 'significant', 'improvement', 'of', 'the', 'results', 'and', 'discuss', 'its', 'feasibility', 'for', 'the', 'treatment', 'of', 'large', 'systems', 'as', 'another', 'application', 'we', 'calculate', 'the', 'addition', 'spectrum']] | [-0.13130988280192532, 0.04172431041937169, -0.10088667829906375, 0.06170818717259079, 0.01561813850903177, -0.0996990862687857, 0.048378765123398525, 0.33774271963870733, -0.22792349697957778, -0.26758583506633493, 0.03461062797377336, -0.2639129684820514, -0.16504980825241014, 0.22143865098116983, -0.002985413748257119, 0.04185279299693728, 0.05983495397557472, 0.016347625750470263, -0.1305724262412445, -0.18712143347887644, 0.2863305386171901, 0.07875008387932682, 0.30220299135845413, 0.13824668924870162, 0.07576243311230993, 0.053190150342335735, 0.015322363317205474, 0.008426644389742407, -0.1347040749233515, 0.11623934836223207, 0.18106919901188592, 0.04235500185589852, 0.25508993819099046, -0.37582915883254386, -0.18195612637069206, 0.08179330873977521, 0.1453095543166173, 0.18812320824584056, -0.07077618820014699, -0.2854275515078214, 0.07624615990388176, -0.27439497560583825, -0.1742454937594975, -0.1566129558527007, -0.0546574797963017, -0.013989447776613564, -0.2470742424243483, 0.08379449316396795, 0.013681314500241444, -0.001516517829792253, -0.05294316505475355, -0.07892346912834408, 0.018141130475198913, 0.11350269383622398, 0.01053739761018419, 0.017028238463761478, 0.13317707624157954, -0.13175838853328906, -0.14840908300388475, 0.4148370783519128, -0.11148304261010268, -0.14911772153372393, 0.1588735699107678, -0.07181763127125029, -0.11451375921224725, 0.11071360560840574, 0.1824013050485017, 0.11010100833814719, -0.14142260456393504, 0.0928718067278106, -0.04513062700500776, 0.16190002710911736, -0.039032108648198435, 0.03731356961813209, 0.12140934161665239, 0.15042749912767062, 0.08425628704998385, 0.20667544311185465, -0.13337714932979375, -0.13021814216185232, -0.2827103572319551, -0.21362169984535412, -0.21639232727265434, 0.04956452447342975, -0.05942329226421987, -0.181693565357348, 0.43864126574119616, 0.18418657876840183, 0.1752649348967805, 0.01908403054554144, 0.2651304656896612, 0.19026226131044777, 0.05281261804288831, 0.03857364491880711, 0.21343729522978439, 0.1656005092061542, 0.03973773486334188, -0.3520853335182343, -0.033435561894920876, 0.08487938456879608] |
708.2238 | Affleck-Dine leptogenesis via multiscalar evolution in a supersymmetric
seesaw model | A leptogenesis scenario in a supersymmetric standard model extended with
introducing right-handed neutrinos is reconsidered. Lepton asymmetry is
produced in the condensate of a right-handed sneutrino via the Affleck-Dine
mechanism. The LH_u direction develops large value due to a negative effective
mass induced by the right-handed sneutrino condensate through the Yukawa
coupling of the right-handed neutrino, even if the minimum during the inflation
is fixed at the origin. The lepton asymmetry is nonperturbatively transfered to
the LH_u direction by this Yukawa coupling.
| hep-ph | a leptogenesis scenario in a supersymmetric standard model extended with introducing righthanded neutrinos is reconsidered lepton asymmetry is produced in the condensate of a righthanded sneutrino via the affleckdine mechanism the lh_u direction develops large value due to a negative effective mass induced by the righthanded sneutrino condensate through the yukawa coupling of the righthanded neutrino even if the minimum during the inflation is fixed at the origin the lepton asymmetry is nonperturbatively transfered to the lh_u direction by this yukawa coupling | [['a', 'leptogenesis', 'scenario', 'in', 'a', 'supersymmetric', 'standard', 'model', 'extended', 'with', 'introducing', 'righthanded', 'neutrinos', 'is', 'reconsidered', 'lepton', 'asymmetry', 'is', 'produced', 'in', 'the', 'condensate', 'of', 'a', 'righthanded', 'sneutrino', 'via', 'the', 'affleckdine', 'mechanism', 'the', 'lh_u', 'direction', 'develops', 'large', 'value', 'due', 'to', 'a', 'negative', 'effective', 'mass', 'induced', 'by', 'the', 'righthanded', 'sneutrino', 'condensate', 'through', 'the', 'yukawa', 'coupling', 'of', 'the', 'righthanded', 'neutrino', 'even', 'if', 'the', 'minimum', 'during', 'the', 'inflation', 'is', 'fixed', 'at', 'the', 'origin', 'the', 'lepton', 'asymmetry', 'is', 'nonperturbatively', 'transfered', 'to', 'the', 'lh_u', 'direction', 'by', 'this', 'yukawa', 'coupling']] | [-0.170579761221278, 0.3840852831263186, -0.00060020844315792, 0.18512711219529326, -0.0986875294105763, -0.2131760012778658, 0.022521744243709778, 0.28467596177772686, -0.24623898966465055, -0.27119732342473024, -0.013413499921514856, -0.2503420455472135, -0.002403580878929394, 0.027593434581010625, 0.06545308743115151, -0.03125983428936906, 0.024948454246197533, -0.04665388986922619, -0.009890845734001388, -0.24406096507886016, 0.2949220981085446, 0.08430842855922514, 0.2107810845666724, 0.11869704035088056, 0.08434730948221575, -0.056973983823299046, 0.028652739858754526, -0.12936211277151527, -0.031014624195494236, 0.021594325977763753, 0.10287998172613542, -0.0020047547068537735, 0.13362262716017118, -0.37093525902345414, -0.15413725962180916, 0.2322914063385347, 0.17833850609433904, 0.1036448069711829, -0.14171738977112422, -0.30511875377922526, 0.08491751772533285, -0.22736305866969703, -0.14375017416413602, 0.00565772337864562, -0.0689251832436861, -0.1942032030442866, -0.41695152945453073, 0.12965533965786852, -0.07082712234824146, -0.06768923323238041, 0.04592361309134015, -0.105288547869749, -0.08659883361968507, -0.07258941676956034, 0.27257984246144346, -0.00022796248426524605, 0.1708781274813568, -0.2116551643220435, -0.09445976561912131, 0.42604410067972975, -0.1656445266747075, -0.1822520335852282, 0.03055386939199596, -0.13358008260725113, -0.06542122952367474, 0.10797258132001067, 0.1233866115373264, 0.09315898281908254, -0.17004889419029762, 0.21116658013950035, -0.1003179933376065, 0.11519159753977253, 0.08392321768432583, -0.05662572593996074, 0.4020361091669013, 0.20651405411715643, 0.10030837659724057, 0.05147764815880758, -0.04074524983581973, -0.060647903237400984, -0.41640324987153093, -0.07577229264936206, -0.1352282300841336, 0.08167532543941378, -0.10754335394538031, -0.09275709983620156, 0.5115956023062874, 0.13489893627943608, 0.24719670947595704, -0.04011715304606208, 0.3457905539572693, 0.1061536236552567, 0.12157690283422154, -0.004577063739572357, 0.35376426680922146, 0.1766738119682797, 0.16857607498560556, -0.3077023287939771, 0.01879603294201377, 0.11950484864277447] |
708.2239 | Extension of thermonuclear functions through the pathway model including
Maxwell-Boltzmann and Tsallis distributions | The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended
to cover Tsallis statistics (Tsallis, 1988) and more general cases of
distribution functions. An analytical study of respective thermonuclear
functions is being conducted with the help of statistical techniques. The
pathway model, recently introduced by Mathai (2005), is utilized for
thermonuclear functions and closed-form representations are obtained in terms
of H-functions and G-functions. Maxwell-Boltzmannian thermonuclear functions
become particular cases of the extended thermonuclear functions. A brief review
on the development of the theory of analytic representations of nuclear
reaction rates is given.
| astro-ph nucl-th | the maxwellboltzmannian approach to nuclear reaction rate theory is extended to cover tsallis statistics tsallis 1988 and more general cases of distribution functions an analytical study of respective thermonuclear functions is being conducted with the help of statistical techniques the pathway model recently introduced by mathai 2005 is utilized for thermonuclear functions and closedform representations are obtained in terms of hfunctions and gfunctions maxwellboltzmannian thermonuclear functions become particular cases of the extended thermonuclear functions a brief review on the development of the theory of analytic representations of nuclear reaction rates is given | [['the', 'maxwellboltzmannian', 'approach', 'to', 'nuclear', 'reaction', 'rate', 'theory', 'is', 'extended', 'to', 'cover', 'tsallis', 'statistics', 'tsallis', '1988', 'and', 'more', 'general', 'cases', 'of', 'distribution', 'functions', 'an', 'analytical', 'study', 'of', 'respective', 'thermonuclear', 'functions', 'is', 'being', 'conducted', 'with', 'the', 'help', 'of', 'statistical', 'techniques', 'the', 'pathway', 'model', 'recently', 'introduced', 'by', 'mathai', '2005', 'is', 'utilized', 'for', 'thermonuclear', 'functions', 'and', 'closedform', 'representations', 'are', 'obtained', 'in', 'terms', 'of', 'hfunctions', 'and', 'gfunctions', 'maxwellboltzmannian', 'thermonuclear', 'functions', 'become', 'particular', 'cases', 'of', 'the', 'extended', 'thermonuclear', 'functions', 'a', 'brief', 'review', 'on', 'the', 'development', 'of', 'the', 'theory', 'of', 'analytic', 'representations', 'of', 'nuclear', 'reaction', 'rates', 'is', 'given']] | [-0.023125749338246154, 0.06320471929670336, -0.11730653139491788, 0.13438115347905652, -0.05078237366093242, -0.09962648895832346, 0.026619868542816814, 0.31377197482177743, -0.21547225532729342, -0.22970070177689195, 0.056546717825214095, -0.26936215894175286, -0.16174174350200463, 0.2689176645388057, -0.06265399237505019, 0.08607484090506383, 0.06717245398170274, 0.0187653335540191, -0.11574706657911124, -0.27019654560591216, 0.3319879485112008, 0.12045352081970676, 0.2633648908028946, 0.05528952430366822, 0.04618224085551565, 0.0032730958039831858, -0.0811727652737476, -0.08934351340865207, -0.1942595478106776, 0.15027942252345383, 0.2952317051366781, 0.15845922868111698, 0.2345814202537598, -0.42006015449600376, -0.27417495459034713, 0.09527272555936614, 0.10163139331701171, 0.06015418729056483, -0.018562814635357507, -0.2614831583721199, 0.023381627579827025, -0.2863948234235463, -0.11472977059589617, -0.09621402341872454, 0.06559730171853595, 0.1114437052570081, -0.28789362232403265, 0.10567483540786349, 0.022469365604869698, 0.059028249826160784, -0.09816770963674493, -0.16387404420833185, 0.029306832275798788, 0.07747378305066377, 0.05380715612377769, 0.04045227539545917, 0.1293058516457677, -0.13328980120486053, -0.10965787170900275, 0.32214027647252963, 0.01890567215361997, -0.17806029848187513, 0.1718305077912468, -0.13524984838137322, -0.15362847158584095, 0.11957176227082053, 0.1567660209459617, 0.15701065053555952, -0.19748994251510696, 0.08156876646440335, -0.001783644319916873, 0.0709235449865683, 0.06527150853071362, 0.00867514887067955, 0.13536932270811952, 0.1124248627406221, -0.0468505854065449, 0.12817456311060357, -0.02641764926754505, -0.12813604422642486, -0.31371744829432474, -0.10333759148109137, -0.14369516918921602, 0.05673879207081526, -0.037386028024743806, -0.14427419133362887, 0.3802675283311502, 0.027458261890822778, 0.13798151923465016, 0.036212576765810016, 0.19460490214608042, 0.18793057836592197, 0.0027901695651488135, 0.045095694673996746, 0.20154023730909734, 0.23752628059541483, 0.07726919012771838, -0.17394280048345379, 0.08306896157117317, 0.12944810122565326] |
708.224 | Casimir-Polder interatomic potential between two atoms at finite
temperature and in the presence of boundary conditions | We evaluate the Casimir-Polder potential between two atoms in the presence of
an infinite perfectly conducting plate and at nonzero temperature. In order to
calculate the potential, we use a method based on equal-time spatial
correlations of the electric field, already used to evaluate the effect of
boundary conditions on interatomic potentials. This method gives also a
transparent physical picture of the role of a finite temperature and boundary
conditions on the Casimir-Polder potential. We obtain an analytical expression
of the potential both in the near and far zones, and consider several limiting
cases of interest, according to the values of the parameters involved, such as
atom-atom distance, atoms-wall distance and temperature.
| quant-ph | we evaluate the casimirpolder potential between two atoms in the presence of an infinite perfectly conducting plate and at nonzero temperature in order to calculate the potential we use a method based on equaltime spatial correlations of the electric field already used to evaluate the effect of boundary conditions on interatomic potentials this method gives also a transparent physical picture of the role of a finite temperature and boundary conditions on the casimirpolder potential we obtain an analytical expression of the potential both in the near and far zones and consider several limiting cases of interest according to the values of the parameters involved such as atomatom distance atomswall distance and temperature | [['we', 'evaluate', 'the', 'casimirpolder', 'potential', 'between', 'two', 'atoms', 'in', 'the', 'presence', 'of', 'an', 'infinite', 'perfectly', 'conducting', 'plate', 'and', 'at', 'nonzero', 'temperature', 'in', 'order', 'to', 'calculate', 'the', 'potential', 'we', 'use', 'a', 'method', 'based', 'on', 'equaltime', 'spatial', 'correlations', 'of', 'the', 'electric', 'field', 'already', 'used', 'to', 'evaluate', 'the', 'effect', 'of', 'boundary', 'conditions', 'on', 'interatomic', 'potentials', 'this', 'method', 'gives', 'also', 'a', 'transparent', 'physical', 'picture', 'of', 'the', 'role', 'of', 'a', 'finite', 'temperature', 'and', 'boundary', 'conditions', 'on', 'the', 'casimirpolder', 'potential', 'we', 'obtain', 'an', 'analytical', 'expression', 'of', 'the', 'potential', 'both', 'in', 'the', 'near', 'and', 'far', 'zones', 'and', 'consider', 'several', 'limiting', 'cases', 'of', 'interest', 'according', 'to', 'the', 'values', 'of', 'the', 'parameters', 'involved', 'such', 'as', 'atomatom', 'distance', 'atomswall', 'distance', 'and', 'temperature']] | [-0.12497100497486892, 0.09351320889687191, -0.09320481100144822, 0.049364960655939205, -0.014706545261884326, -0.09491604217957403, 0.07116409822425863, 0.38017555480604776, -0.21490895062231938, -0.27462478388134426, 0.046715313704004766, -0.27475188994729843, -0.13461814663028931, 0.19730829309068015, 0.01751578472940637, 0.038786644742825185, -0.014127438451658498, 0.07923726188774044, -0.08194458049193427, -0.19808423125000485, 0.3429179046688987, 0.03775123041123152, 0.27530491268178364, 0.17584288804393328, 0.07499610315924427, 0.01880081713216396, 0.034125656904736616, 0.03458221334400511, -0.17140071158641362, 0.07851873438906025, 0.17590030179535215, 0.004366541027208383, 0.264513477532042, -0.4635643346553987, -0.19569970598561806, 0.10412124917750154, 0.11006146508294183, 0.13902380972941247, -0.04249875484399397, -0.27061635310350507, -0.013621584468244298, -0.15929447774993474, -0.19218633656163472, -0.07020604034868984, 0.04402598228068552, 0.02239097802908168, -0.2819895553696263, 0.07716090470182223, -0.001629218845082833, 0.07646685013094463, -0.13034830703022512, -0.11966460929797576, 0.009998232923313841, 0.16866155295120971, 0.04873816188433216, -0.01317994248726078, 0.127686308524865, -0.12244781592600194, -0.030831018093604227, 0.3773521639171753, -0.1044422722650222, -0.21185643014472885, 0.22417658739219848, -0.1387037262026858, -0.009340018008810442, 0.07381539556474702, 0.1828316161996341, 0.11087835308684556, -0.17316661621569782, 0.0893781189990297, 0.0324030335057057, 0.12343551845369474, 0.10704127908055042, 0.03804619642192716, 0.21848399621677828, 0.11005839291825756, 0.06125512783235224, 0.1819160875805595, -0.12126889647622299, -0.09322404441935522, -0.33879078718254696, -0.1429202021728899, -0.20963527267245022, -0.00670969495465895, -0.1256829256076221, -0.21539335634962126, 0.3878847219255493, 0.2113362261186446, 0.2033330316378458, 6.338046981139226e-05, 0.29852113369348887, 0.1067844314557324, 0.047882595477071965, 0.023033121936358848, 0.25777723193000834, 0.16640302340860838, 0.08813238859193416, -0.26739182228407077, 0.03310297075910745, 0.05294744577258825] |
708.2241 | Simple direct measurement of nonclassical joint signal-idler
photon-number statistics and correlation area of twin photon beams | The measurement of joint signal-idler photon-number distribution of a field
obtained from spontaneous parametric downconversion using an intensified CCD
camera is presented. It is shown that a classicality criterion is violated
directly by the measured data. Characteristic dimensions of the area of
correlation are determined in the same experimental setup.
| quant-ph | the measurement of joint signalidler photonnumber distribution of a field obtained from spontaneous parametric downconversion using an intensified ccd camera is presented it is shown that a classicality criterion is violated directly by the measured data characteristic dimensions of the area of correlation are determined in the same experimental setup | [['the', 'measurement', 'of', 'joint', 'signalidler', 'photonnumber', 'distribution', 'of', 'a', 'field', 'obtained', 'from', 'spontaneous', 'parametric', 'downconversion', 'using', 'an', 'intensified', 'ccd', 'camera', 'is', 'presented', 'it', 'is', 'shown', 'that', 'a', 'classicality', 'criterion', 'is', 'violated', 'directly', 'by', 'the', 'measured', 'data', 'characteristic', 'dimensions', 'of', 'the', 'area', 'of', 'correlation', 'are', 'determined', 'in', 'the', 'same', 'experimental', 'setup']] | [-0.1188855009409599, 0.15253565404826078, -0.14334423440508545, 0.054259642062243076, -0.009252977352589368, -0.16899358270689846, -0.00950332976412028, 0.37949159145355227, -0.23448056122288108, -0.2965382022038102, 0.04909336794866249, -0.2554684549570084, -0.07198359072208405, 0.2541391295939684, -0.08172502670437097, 0.12135154252871871, 0.05508657661266625, 0.02311870194040239, -0.02400342311244458, -0.2149707464221865, 0.31398582316935064, 0.059015985913574695, 0.4170598582923412, -0.009763908558525144, 0.1826708215776307, 0.03545815209858119, -0.07147936100140213, 0.031019922057166697, -0.08128620780611527, 0.0843053369037807, 0.2149322543805465, 0.15269644433632493, 0.19138475958257914, -0.3568166901543737, -0.19472125159576537, 0.08922081734985113, 0.09532859721221029, 0.08964758004993201, -0.04205942535307258, -0.35306280918419364, 0.02462903583422303, -0.12791219211183488, -0.11307342885993421, -0.022648249007761478, -0.02001679073786363, -0.007855645422823727, -0.3156445058807731, 0.0957756313867867, 0.017492906115949156, 0.10736753150820733, -0.01470616901293397, -0.03413341419771314, -0.02284885535016656, 0.07768566703423857, 0.009722151500172914, 0.02436122345738113, 0.14583340087905527, -0.15226316779851914, -0.09866753877955489, 0.29837919616955333, -0.038678089287132025, -0.1641828389390139, 0.05676233724690974, -0.20145728304050864, -0.0503212164901197, 0.17540065109264105, 0.08857337325811386, 0.10866502949967981, -0.21670931713655592, 0.03375396018847823, -0.052858681147918106, 0.21699387863278388, 0.08415160097181797, 0.05752033618278801, 0.17608617581427097, 0.1444244082807563, 0.015280708856880664, 0.16941320857731626, -0.17280460797250272, -0.06088703418150544, -0.367823643386364, -0.1201614547893405, -0.3149897442664951, 0.06534002378582954, -0.053941828003153204, -0.05645419818058144, 0.394019398316741, 0.11286329571157694, 0.15689440248534084, 0.013072918374091387, 0.2988836487289518, 0.16977503057569265, 0.09206649558618665, -0.03811078461818397, 0.3080111418594606, 0.1431297256750986, 0.08239958152174949, -0.2372122424514964, 0.056257110144943, -0.02761845961678773] |
708.2242 | Antisymmetric entangled two-photon states generated in nonlinear GaN/AlN
photonic-band-gap structures | The properties of an entangled two-photon state antisymmetric in frequencies
are studied. At a beam-splitter, two entangled photons are perfectly
anti-correlated. In addition, they cannot be detected at the same time instant
despite the fact that their detection times are confined to a narrow time
window, i.e. they are temporally anti-bunched. Using nonlinear
photonic-band-gap structures made of GaN/AlN, two schemes for generating such
states are described.
| quant-ph | the properties of an entangled twophoton state antisymmetric in frequencies are studied at a beamsplitter two entangled photons are perfectly anticorrelated in addition they cannot be detected at the same time instant despite the fact that their detection times are confined to a narrow time window ie they are temporally antibunched using nonlinear photonicbandgap structures made of ganaln two schemes for generating such states are described | [['the', 'properties', 'of', 'an', 'entangled', 'twophoton', 'state', 'antisymmetric', 'in', 'frequencies', 'are', 'studied', 'at', 'a', 'beamsplitter', 'two', 'entangled', 'photons', 'are', 'perfectly', 'anticorrelated', 'in', 'addition', 'they', 'can', 'not', 'be', 'detected', 'at', 'the', 'same', 'time', 'instant', 'despite', 'the', 'fact', 'that', 'their', 'detection', 'times', 'are', 'confined', 'to', 'a', 'narrow', 'time', 'window', 'ie', 'they', 'are', 'temporally', 'antibunched', 'using', 'nonlinear', 'photonicbandgap', 'structures', 'made', 'of', 'ganaln', 'two', 'schemes', 'for', 'generating', 'such', 'states', 'are', 'described']] | [-0.17733852228726635, 0.2941997693106619, -0.05094946261995764, 0.04821641107763984, 0.017250068624740215, -0.20585652939808458, -0.03784217290691475, 0.54551445047802, -0.24716824843589938, -0.24966493032094259, 0.0773236633507785, -0.2984633101567404, -0.042980293548707645, 0.20794152530299417, 0.027205959756497238, 0.0531961925661386, 0.03574366113448988, 0.0032496406738437822, -0.026805864945888075, -0.21681198855834222, 0.24607545832422242, 0.011151522036586235, 0.28178159495009414, 0.005972734916566023, 0.08030145502399041, -0.04463200976919216, -0.00583546813716417, -0.004169390851339854, -0.0005768258790285743, 0.0371401023715665, 0.30350908076515726, 0.05922774161531854, 0.21114383899231456, -0.45957230265015986, -0.18088669054654996, 0.09066213078018445, 0.1695736332921617, 0.1440144097223989, -0.015152625082783512, -0.337701494235601, 0.03508239734306264, -0.09771728114774034, -0.11720367130448124, -0.041139478399070784, -0.008451803351071343, -0.0005168534759710084, -0.22651264372406832, 0.0990110836617315, 0.014624351486146672, -0.022745566526010855, -0.020917200983793877, -0.034470806023411786, -0.050529755561598645, 0.11321365809651898, -0.047368286156665475, -0.0477538151499718, 0.13013305895920121, -0.144218161477986, -0.14940224304350455, 0.3424304980061837, -0.057558997200607365, -0.17378178522435586, 0.21732199134360722, -0.14283473058534202, -0.08180104264878292, 0.18359616887060676, 0.13709313135747034, 0.154508635040317, -0.13658424164168537, -0.021140495203882836, -0.030737300201861273, 0.21841501375771502, 0.15305812463664742, 0.18743426284627684, 0.252102369067273, 0.06467567840174063, -0.005830723875716551, 0.1310507580064543, -0.05003280467840273, -0.08966129995993714, -0.2846194579432816, -0.10641169461070685, -0.2175087636864897, 0.026875497615390542, -0.015449889706197515, -0.12460372649800422, 0.3997338442722641, 0.04984858080939348, 0.19165142178326958, 0.015174123917275401, 0.26619450536681644, 0.14921236831917248, 0.06023836328036416, 0.07342472056677538, 0.3090308503206097, 0.09077083833738049, 0.054209675090804474, -0.155281696357389, 0.07729125341205899, -0.04715016432829312] |
708.2243 | Embedding group algebras into finite von Neumann regular rings | Let G be a group and let K be a field of characteristic zero. We shall prove
that KG can be embedded into a von Neumann unit-regular ring. In the course of
the proof, we shall obtain a result relevant to the Atiyah conjecture.
| math.RA math.GR | let g be a group and let k be a field of characteristic zero we shall prove that kg can be embedded into a von neumann unitregular ring in the course of the proof we shall obtain a result relevant to the atiyah conjecture | [['let', 'g', 'be', 'a', 'group', 'and', 'let', 'k', 'be', 'a', 'field', 'of', 'characteristic', 'zero', 'we', 'shall', 'prove', 'that', 'kg', 'can', 'be', 'embedded', 'into', 'a', 'von', 'neumann', 'unitregular', 'ring', 'in', 'the', 'course', 'of', 'the', 'proof', 'we', 'shall', 'obtain', 'a', 'result', 'relevant', 'to', 'the', 'atiyah', 'conjecture']] | [-0.19548368017951195, 0.14296088816428726, -0.21164549856489015, -0.007200770207088102, -0.10459270046769896, -0.19114660645242443, -0.05262644174085422, 0.2922174136778763, -0.3202111949636178, -0.2100647967732088, 0.10359466867256825, -0.21612166612811218, -0.07905486035584049, 0.2042776898544451, -0.14940489091995088, -0.13989888046952811, 0.08485530566593463, 0.16898561298677867, -0.08333514871562576, -0.29377984602681617, 0.3267128898508169, -0.06337159605358135, 0.13599983139217578, 0.11124934281476519, 0.035888388329608875, 0.006307457901791416, 0.05688536061312665, 0.08529223545073447, -0.2070257397302736, 0.09571130950511857, 0.3447841750457883, 0.10972757359691472, 0.3051845020540482, -0.40178727445361967, -0.14869614648738538, 0.2210997138066556, 0.15331221507354217, 0.021087535487657242, 0.011128993477376009, -0.3145079626490108, 0.1988124029012397, -0.18080710217526014, -0.15977466324428943, -0.04187281795946712, 0.07750092708473941, -0.03805117382646792, -0.30372930864210834, -0.011234231494282458, 0.12367156918414614, 0.1072745556011796, -0.06024189868582074, -0.08339481685437601, 0.0036942669698460536, 0.05041194918819449, -0.0592717444524169, 0.06301150372019038, 0.11237640791064636, -0.015495861033824358, -0.0782736333150586, 0.35995407277633523, -0.14795705610462886, -0.16112383512187411, 0.07706779313527724, -0.2117662250741639, -0.08212357767942277, 0.05404809091917493, 0.1286374834281477, 0.13858178909868002, -0.026527383258904923, 0.17510749272531195, -0.16883882057895375, 0.11944393068552017, 0.05142479127442295, -0.051879604738629, 0.18230567923323673, 0.058751649673054504, 0.09199052978246156, 0.17591152083266273, 0.02433253195009787, 0.08586218956307592, -0.38417460989545693, -0.26860740095038305, -0.16039073761467906, 0.26086692469702527, -0.06054699415604277, -0.11578572370027276, 0.3780992327215658, 0.10635345042894849, 0.17989829724485223, 0.09325320489535277, 0.16534606744111938, 0.13469137256668712, 0.0642669126603075, 0.08039739253846082, 0.0741328622256829, 0.2869222391904755, -0.00975016303445128, -0.13678100366484036, -0.04473207211545245, 0.1896714721488851] |
708.2244 | Unbiased Random Threshold Networks Are Chaotic or Critical | This paper has been withdrawn.
| cond-mat.dis-nn cond-mat.stat-mech nlin.CG q-bio.MN | this paper has been withdrawn | [['this', 'paper', 'has', 'been', 'withdrawn']] | [-0.14966976195573806, -0.11479587350040674, -0.26925536394119265, -0.2174653896363452, -0.24278417900204657, -0.06483052410185337, -0.18645338097121567, 0.4360402226448059, -0.2831330731511116, -0.34362963438034055, 0.12004837393760681, -0.3683081828057766, -0.1602430183440447, -0.10558439195156097, -0.49794104844331744, 0.22114052325487138, 0.020489710569381713, -0.13509191051125527, -0.003394755348563194, -0.4261150062084198, 0.24723864942789078, 0.20099691897630692, 0.29493145644664764, 0.43429074883461, 0.01915901619940996, -0.230447637476027, -0.11513714343309403, 0.020372361689805985, -0.20633925572037698, 0.044814842939376834, 0.2428473174571991, 0.019041498890146613, 0.6547030150890351, -0.4033622771501541, -0.3201997369527817, 0.3520198702812195, 0.42603884935379027, 0.23336923271417617, -0.27920777946710584, -0.36215683072805405, 0.36309435218572617, -0.5702161848545074, -0.1315121427178383, 0.06789367422461509, 0.22953803576529025, -0.3321428090333939, 0.017446409910917282, -0.028199871815741063, 0.24563229084014893, 0.3347385682165623, 0.15144075378775596, -0.2489987626671791, 0.17282117679715156, 0.24701693132519723, 0.3440325528383255, 0.20867147911339998, -0.13285142406821251, 0.07563621033914388, -0.044104534387588504, 0.3356690138578415, 0.23557274155318736, -0.24962785169482232, 0.046857850253582, 0.04556192234158516, -0.26518367901444434, 0.15704565420746802, 0.21749483253806828, 0.11799136139452457, -0.5040611356496811, 0.422764346562326, -0.18172579109668732, 0.19774497151374817, 0.28551970086991785, -0.06363286226987838, 0.07455872595310212, 0.30426284223794936, -0.09061564113944769, 0.28927659466862676, -0.06672459170222282, 0.09313873648643493, -0.03926684409379959, -0.2222803145647049, -0.3248200133442879, 0.10310854855924845, 0.5389873318374157, -0.09992984607815743, 0.42208007872104647, 0.27619058787822726, 0.03591356128454208, -0.16131918579339982, 0.3660829946398735, 0.27453771883156153, 0.06713124886155128, -0.09843106493353844, 0.49104041904211043, 0.10996200516819954, 0.28820077180862425, 0.10187920853495598, 0.42227696925401687, 0.2043190725147724] |
708.2245 | Mathematical Modeling of Control Dynamical Systems | This paper has been withdrawn by the author due to a crucial mistakes.
| math-ph math.MP | this paper has been withdrawn by the author due to a crucial mistakes | [['this', 'paper', 'has', 'been', 'withdrawn', 'by', 'the', 'author', 'due', 'to', 'a', 'crucial', 'mistakes']] | [-0.08223364709948118, -0.030214484351185653, -0.12351351202680515, -0.05219239588432874, -0.17892727556710059, -0.0833760960958898, 0.025227499489959043, 0.298291435608497, -0.22287339774461892, -0.3896642421873716, 0.11665532558869857, -0.2919154983873551, -0.21363361538029635, 0.035534532024310186, -0.3817473617740549, 0.12893758828823382, 0.0846735594364313, -0.07289766147732735, 0.03417517946889767, -0.3681179806231879, 0.348226898851303, 0.24547459471684235, 0.25116541809760606, 0.2501417027356533, 0.04593924662241569, -0.0744805893717477, -0.1398911213932129, -0.015572888346818777, -0.12216649734630035, 0.11378256718699749, 0.30229468930226105, -0.052906224880224235, 0.53033814063439, -0.394286698446824, -0.22586666806959188, 0.17650206444355157, 0.17932016158906314, 0.20073607392035997, -0.12836921845491117, -0.380549641755911, 0.22957721058852398, -0.31954097719146657, -0.13617899401399952, -0.034434075538928695, 0.18268641786506543, -0.1495772019171944, -0.07446090229160081, -0.009072434515334092, 0.2167915443961437, 0.16427623824431345, 0.10553141153202607, -0.13870029323376143, 0.08494595968379424, 0.2263257663625364, 0.2626825785980775, 0.16157845626226985, -0.0395299567339512, -0.07092582633217367, -0.09798918191630107, 0.4244852467225148, 0.08662922436801287, -0.20171398526200882, 0.096792666384807, 0.027604055483467303, -0.1786456655424375, 0.17479736730456352, 0.13901665856918463, 0.08646999346092343, -0.2801399085527429, 0.19667054590984032, -0.004666109712651143, 0.17348375801856702, 0.21335627095630535, -0.0917370832310273, 0.16251550987362862, 0.12731075143584838, -0.033902018187710874, 0.19684539993221944, 0.02138994849072053, 0.038771654694126204, -0.19688988075806543, -0.19148074803300774, -0.225383933311185, 0.06443570446796142, 0.23751303324332604, -0.07318099810240361, 0.4187907702647723, 0.24835691830286613, 0.16477809398649976, -0.11489002148692425, 0.3096549872022409, 0.14992271728204706, 0.11177091042582805, -0.021715943343364276, 0.31593234883621335, 0.16109029090820023, 0.23746067901643422, -0.05711132431259522, 0.3290873643440696, 0.1707392885672072] |
708.2246 | Monopoles, topology of the Standard Model, and unification of
interactions at Tev scale | It is shown that unification of strong and Electroweak interactions at Tev
scale may lead to appearance of topologically stable monopoles with masses of
the order of 40 Tev. Those monopoles may play an important role in the early
Universe, at finite temperature. They may even be condensed at high enough
temperature. The lattice model for investigation of this phenomenon is
presented.
| hep-lat hep-ph | it is shown that unification of strong and electroweak interactions at tev scale may lead to appearance of topologically stable monopoles with masses of the order of 40 tev those monopoles may play an important role in the early universe at finite temperature they may even be condensed at high enough temperature the lattice model for investigation of this phenomenon is presented | [['it', 'is', 'shown', 'that', 'unification', 'of', 'strong', 'and', 'electroweak', 'interactions', 'at', 'tev', 'scale', 'may', 'lead', 'to', 'appearance', 'of', 'topologically', 'stable', 'monopoles', 'with', 'masses', 'of', 'the', 'order', 'of', '40', 'tev', 'those', 'monopoles', 'may', 'play', 'an', 'important', 'role', 'in', 'the', 'early', 'universe', 'at', 'finite', 'temperature', 'they', 'may', 'even', 'be', 'condensed', 'at', 'high', 'enough', 'temperature', 'the', 'lattice', 'model', 'for', 'investigation', 'of', 'this', 'phenomenon', 'is', 'presented']] | [-0.1438830265936802, 0.30683601004162603, -0.09256856391567864, 0.16101194720812922, -0.046039570964151816, -0.11494788666999328, -0.033860494720659426, 0.37392778237981183, -0.21139461484046712, -0.3612922603384622, 0.09983423811706504, -0.26278159635201576, -0.04182548965177228, 0.14175080719418945, 0.030210252761119796, -0.016702195329050862, 0.010818657623003087, 0.03968016151338816, -0.008405447255955227, -0.2756237223436455, 0.26969025159187077, 0.13278918202465115, 0.23752799942608802, 0.15186326376222556, 0.043896219317590995, -0.09050276779359387, 0.039420017056287296, 0.005929111803491269, -0.08059918706649408, 0.03297195482939001, 0.29100570623432437, -0.009133099031685325, 0.201423330412757, -0.4044273514751225, -0.1818173823788041, 0.15808552435989823, 0.17631292517387098, 0.14879204721505485, -0.09939945725003077, -0.263220538865895, 0.1440812055502207, -0.15019289842025646, -0.1965343900806, -0.0928901233409922, 0.0032976227962682324, -0.08997313077411344, -0.24854277386780707, 0.09077170366541512, 0.0633717077228451, 0.045855387189095057, -0.05039513776559503, -0.10125740938970158, -0.04851879211773555, 0.0689628214064625, 0.09312948002292204, 0.04765779326008933, 0.1240207504240736, -0.17563051519720185, -0.09125594362135857, 0.4463331688555979, -0.028524222312450047, -0.06273856792188692, 0.2697617308867554, -0.17767216929144436, -0.14682658291572043, 0.18379237072076648, 0.18433222967019725, 0.06789018209242532, -0.09205390029256383, 0.0917968274715672, 0.007513009657662722, 0.18336453328600094, 0.035842759279353965, 0.0902083431175279, 0.3605813361223667, 0.20042263489637163, 0.06439362817834463, 0.05016018581884583, -0.03474576489609336, -0.09821788171276209, -0.3779675909017603, -0.08527898353584591, -0.12212288289541198, 0.06174096022028431, -0.10876206595487255, -0.12524546151220303, 0.3346060266673204, 0.17224913305835798, 0.2148842964050991, -0.058857454407599666, 0.18113650323732966, 0.08711105141968976, 0.103532315382073, 0.03472277120642003, 0.31575410387989494, 0.11449691965695351, 0.14461449629837467, -0.22311063103317733, 0.02676291362712941, 0.08002912110438751] |
708.2247 | Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces | We give a natural family of Bridgeland stability conditions on the derived
category of a smooth projective complex surface S and describe ``wall-crossing
behavior'' for objects with the same invariants as $\cO_C(H)$ when H generates
Pic(S) and $C \in |H|$. If, in addition, S is a K3 or Abelian surface, we use
this description to construct a sequence of fine moduli spaces of
Bridgeland-stable objects via Mukai flops and generalized elementary
modifications of the universal coherent sheaf. We also discover a natural
generalization of Thaddeus' stable pairs for curves embedded in the moduli
spaces.
| math.AG | we give a natural family of bridgeland stability conditions on the derived category of a smooth projective complex surface s and describe wallcrossing behavior for objects with the same invariants as co_ch when h generates pics and c in h if in addition s is a k3 or abelian surface we use this description to construct a sequence of fine moduli spaces of bridgelandstable objects via mukai flops and generalized elementary modifications of the universal coherent sheaf we also discover a natural generalization of thaddeus stable pairs for curves embedded in the moduli spaces | [['we', 'give', 'a', 'natural', 'family', 'of', 'bridgeland', 'stability', 'conditions', 'on', 'the', 'derived', 'category', 'of', 'a', 'smooth', 'projective', 'complex', 'surface', 's', 'and', 'describe', 'wallcrossing', 'behavior', 'for', 'objects', 'with', 'the', 'same', 'invariants', 'as', 'co_ch', 'when', 'h', 'generates', 'pics', 'and', 'c', 'in', 'h', 'if', 'in', 'addition', 's', 'is', 'a', 'k3', 'or', 'abelian', 'surface', 'we', 'use', 'this', 'description', 'to', 'construct', 'a', 'sequence', 'of', 'fine', 'moduli', 'spaces', 'of', 'bridgelandstable', 'objects', 'via', 'mukai', 'flops', 'and', 'generalized', 'elementary', 'modifications', 'of', 'the', 'universal', 'coherent', 'sheaf', 'we', 'also', 'discover', 'a', 'natural', 'generalization', 'of', 'thaddeus', 'stable', 'pairs', 'for', 'curves', 'embedded', 'in', 'the', 'moduli', 'spaces']] | [-0.1570809363157198, 0.11060284292425519, -0.10601138664028978, 0.1309671635409036, -0.08562174777660558, -0.1406580437705802, 0.017761246192329112, 0.3398610659704734, -0.3275194984299922, -0.2461753583222788, 0.06721214874602494, -0.16884981562453572, -0.16312027027422402, 0.22339846847781672, -0.1771945376074322, -0.02785656411295897, 0.04800369525929132, 0.0442442731451123, -0.10384841463829, -0.2893130532515946, 0.42139993206427623, -0.06361333163259851, 0.23874350893561558, 0.020075757071496017, 0.10821345821523698, 0.014773175175431915, 0.010848945587553003, -0.013987806114938951, -0.18297486332049895, 0.1815621319517333, 0.2756617898421903, 0.05932803909164122, 0.11403009678382346, -0.36683305459077, -0.1695969103515068, 0.193449902558519, 0.07699848857228844, 0.054293747851124376, -0.014663244478694935, -0.24904106505044926, 0.12133709921330084, -0.11456416987798988, -0.1529030973512319, -0.12103328449271059, 0.11032871902990406, 0.029415017627279764, -0.22191952487894445, -0.046741721460968756, 0.07427071854947837, 0.1298584726356503, -0.07540345059267135, -0.05404174360396561, -0.13230728950621862, 0.023639807959840765, -0.04384281875074951, 0.04551233268112585, 0.10697966121557739, -0.13452292994535978, -0.09026298243352161, 0.3763090256039524, -0.11585767420950116, -0.21233043733543605, 0.17421901630868594, -0.08991121915819984, -0.13756191785076774, 0.14044210073157584, 0.10794460289530776, 0.2182686197601499, 0.016302494363958187, 0.1633303439305965, -0.10972339899269162, 0.09308247322276715, 0.12552700983610765, 0.03808465742215674, 0.14656906632045585, 0.13364637280333666, 0.0407444882577145, 0.146456573415117, -0.044017709601390106, -0.03558716576881907, -0.39691551149852816, -0.23902100030212634, -0.06956438957312976, 0.1368100854508098, -0.07593653574589045, -0.19870434578267798, 0.3996190780032707, 0.008247267835403001, 0.26483276250061166, 0.08632170705385106, 0.20027029110739628, -0.006125225806959294, 0.012303108796327105, 0.023645974600547424, 0.13349168061689343, 0.17439448008293745, -0.023040224031935775, -0.1308834951819091, -0.030652865537151856, 0.2075314948295233] |
708.2248 | Observation of B0 -> K*0 K*0bar and search for B0 -> K*0 K*0 | We report the observation of the b -> d penguin-dominated decay B0 -> K*0
K*0bar with a sample of 383.2 +/- 4.2 million BBbar pairs collected with the
BaBar detector at the PEP-II asymmetric-energy e^+e^- collider at the Stanford
Linear Accelerator Center. The measured branching fraction is Br(B0 -> K*0
K*0bar) = [1.28^{+0.35}_{-0.30} +/- 0.11] x 10^{-6} and the fraction of
longitudinal polarization f_L (B0 -> K*0 K*0bar) = 0.80^{+0.10}_{-0.12} +/-
0.06. The first error quoted is statistical and the second systematic. We also
obtain an upper limit at the 90% confidence level on the branching fraction for
Br(B0 ->K*0 K*0) < 0.41 x 10^{-6}.
| hep-ex | we report the observation of the b d penguindominated decay b0 k0 k0bar with a sample of 3832 42 million bbbar pairs collected with the babar detector at the pepii asymmetricenergy ee collider at the stanford linear accelerator center the measured branching fraction is brb0 k0 k0bar 128035_030 011 x 106 and the fraction of longitudinal polarization f_l b0 k0 k0bar 080010_012 006 the first error quoted is statistical and the second systematic we also obtain an upper limit at the 90 confidence level on the branching fraction for brb0 k0 k0 041 x 106 | [['we', 'report', 'the', 'observation', 'of', 'the', 'b', 'd', 'penguindominated', 'decay', 'b0', 'k0', 'k0bar', 'with', 'a', 'sample', 'of', '3832', '42', 'million', 'bbbar', 'pairs', 'collected', 'with', 'the', 'babar', 'detector', 'at', 'the', 'pepii', 'asymmetricenergy', 'ee', 'collider', 'at', 'the', 'stanford', 'linear', 'accelerator', 'center', 'the', 'measured', 'branching', 'fraction', 'is', 'brb0', 'k0', 'k0bar', '128035_030', '011', 'x', '106', 'and', 'the', 'fraction', 'of', 'longitudinal', 'polarization', 'f_l', 'b0', 'k0', 'k0bar', '080010_012', '006', 'the', 'first', 'error', 'quoted', 'is', 'statistical', 'and', 'the', 'second', 'systematic', 'we', 'also', 'obtain', 'an', 'upper', 'limit', 'at', 'the', '90', 'confidence', 'level', 'on', 'the', 'branching', 'fraction', 'for', 'brb0', 'k0', 'k0', '041', 'x', '106']] | [-0.16396659183170725, 0.1851160371019217, -0.025533468006879733, 0.031179288236965096, -0.012425567203712079, -0.12445463922615814, 0.1938806843633453, 0.239337297331702, -0.16240981295304271, -0.2782724375726395, -0.01939292465116308, -0.5040581675386557, 0.1401450426708306, 0.16689810889112133, 0.10809452518800734, 0.12498538849514819, 0.1322832646008621, 0.05828654096506897, -0.04993429394458891, -0.21542288663406525, 0.09200991674511623, 0.024505628332976374, 0.24891827060210128, 0.028673889836476694, 0.016387913426164018, -0.04467443368267468, -0.05065813982829211, -0.13135703607031735, -0.24262534021850554, -0.015215905061522398, 0.24157439445656154, 0.10169676758764531, 0.11885025651664824, -0.22650212765461952, 0.12220923510700545, 0.2128265077318315, 0.09736418197312022, -0.019482831040056804, 0.0066719103381738705, -0.4045840038026693, 0.20629778824826722, -0.16589375102632148, -0.018243837640971265, 0.0448529015793415, 0.14465500751850746, -0.18269993784406813, -0.3644651946942172, 0.202100628748804, -0.07122100006428457, 0.12098929119485391, -0.0026541640581462973, -0.35220484661128654, -0.030646474297804337, -0.07123175983928064, -0.0119741581911121, 0.1609561426069973, 0.21420635344580777, -0.007891251888346447, -0.12381836685842725, 0.3558506217274454, -0.11191765003417048, -0.10331889976977661, 0.08551108274328452, -0.3821378271696308, -0.17558606295165435, 0.24066149023792116, 0.30550014797437897, 0.04765906559443602, -0.20651667023838688, 0.15648698998910565, -0.030834539613175775, 0.20243096789245002, 0.14239969402701863, 0.07002824070107352, 0.1789068968676191, 0.19823605756360477, -0.02379233838729961, 0.041531074465432714, -0.20161664968366505, 0.052622677247610786, -0.4331970557830827, -0.0917581513014582, 0.005396486710636846, 0.16954574683901444, -0.08746834826794633, -0.008653735639327156, 0.277591457645539, -0.009924200227248147, 0.3676528469609317, 0.07698310320816373, 0.26810572050031156, 0.07766782442453288, -0.06327434807486322, 0.09274173885009937, 0.33307523877730455, 0.2082929335013833, 0.12178924192188768, -0.30564012369472704, 0.019897761714634716, -0.05537902970888441] |
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