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712.0879 | Quasi-particle propagation in quantum Hall systems | We study various geometrical aspects of the propagation of particles obeying
fractional statistics in the physical setting of the quantum Hall system. We
find a discrete set of zeros for the two-particle kernel in the lowest Landau
level; these arise from a combination of a two-particle Aharonov-Bohm effect
and the exchange phase related to fractional statistics. The kernel also shows
short distance exclusion statistics, for instance, in a power law behavior as a
function of initial and final positions of the particles. We employ the
one-particle kernel to compute impurity-mediated tunneling amplitudes between
different edges of a finite-sized quantum Hall system and and find that they
vanishes for certain strengths and locations of the impurity scattering
potentials. We show that even in the absence of scattering, the correlation
functions between different edges exhibits unusual features for a narrow enough
Hall bar.
| cond-mat.mes-hall | we study various geometrical aspects of the propagation of particles obeying fractional statistics in the physical setting of the quantum hall system we find a discrete set of zeros for the twoparticle kernel in the lowest landau level these arise from a combination of a twoparticle aharonovbohm effect and the exchange phase related to fractional statistics the kernel also shows short distance exclusion statistics for instance in a power law behavior as a function of initial and final positions of the particles we employ the oneparticle kernel to compute impuritymediated tunneling amplitudes between different edges of a finitesized quantum hall system and and find that they vanishes for certain strengths and locations of the impurity scattering potentials we show that even in the absence of scattering the correlation functions between different edges exhibits unusual features for a narrow enough hall bar | [['we', 'study', 'various', 'geometrical', 'aspects', 'of', 'the', 'propagation', 'of', 'particles', 'obeying', 'fractional', 'statistics', 'in', 'the', 'physical', 'setting', 'of', 'the', 'quantum', 'hall', 'system', 'we', 'find', 'a', 'discrete', 'set', 'of', 'zeros', 'for', 'the', 'twoparticle', 'kernel', 'in', 'the', 'lowest', 'landau', 'level', 'these', 'arise', 'from', 'a', 'combination', 'of', 'a', 'twoparticle', 'aharonovbohm', 'effect', 'and', 'the', 'exchange', 'phase', 'related', 'to', 'fractional', 'statistics', 'the', 'kernel', 'also', 'shows', 'short', 'distance', 'exclusion', 'statistics', 'for', 'instance', 'in', 'a', 'power', 'law', 'behavior', 'as', 'a', 'function', 'of', 'initial', 'and', 'final', 'positions', 'of', 'the', 'particles', 'we', 'employ', 'the', 'oneparticle', 'kernel', 'to', 'compute', 'impuritymediated', 'tunneling', 'amplitudes', 'between', 'different', 'edges', 'of', 'a', 'finitesized', 'quantum', 'hall', 'system', 'and', 'and', 'find', 'that', 'they', 'vanishes', 'for', 'certain', 'strengths', 'and', 'locations', 'of', 'the', 'impurity', 'scattering', 'potentials', 'we', 'show', 'that', 'even', 'in', 'the', 'absence', 'of', 'scattering', 'the', 'correlation', 'functions', 'between', 'different', 'edges', 'exhibits', 'unusual', 'features', 'for', 'a', 'narrow', 'enough', 'hall', 'bar']] | [-0.16874697422550938, 0.1670586570621805, -0.12122551903313568, 0.1103930725214065, -0.013603267233475304, -0.12652862932968964, 0.04529794455003918, 0.33377410725076145, -0.26932575669245307, -0.2755362438236145, -0.008758237780276554, -0.3007721372695098, -0.16781220767409244, 0.16043921144091333, 0.03620559241332061, 0.06072533728409532, 0.02694881840027763, 0.019500835716116723, -0.09342791004375148, -0.1773887045800369, 0.3335484677838188, -0.004813607483243583, 0.25437714377457793, 0.08783677672135069, 0.09644757810293149, 0.06922329622419908, 0.011634256773304643, 0.020183934859026566, -0.11621741638471396, 0.048170251177346454, 0.2094808747448648, -0.005530550906266225, 0.21024180195750075, -0.4185662404270777, -0.1615602131817384, 0.09367998465499346, 0.1305336388742802, 0.13308463760169473, -0.007334802962727316, -0.2804416868809267, 0.03446229548583217, -0.16343484337752065, -0.13313175157267362, -0.039656828122926834, 0.05544746012578831, 0.028952720796306293, -0.2614230310134854, 0.1274094106082504, 0.058991744202819274, 0.043880412038019366, -0.0540163949204622, -0.12415171576604406, -0.006225599080872398, 0.1280573196015618, 0.0011373440832467684, -0.04750231042539813, 0.1335735087091407, -0.20636721634088406, -0.13243324413246654, 0.3570823709906495, -0.05470119743006872, -0.19723794071651096, 0.19482081364972373, -0.21274281892300492, -0.10225349338064697, 0.11794362655107646, 0.1635678473476928, 0.05603412331309184, -0.12903615773543187, 0.09418517538529643, -0.03773454224017072, 0.12574897264956053, 0.06841778262610818, 0.09651501029102356, 0.21477428311750404, 0.08526796332382142, 0.06024659975557357, 0.17391586918648042, -0.1435437098662336, -0.1119174300560873, -0.3443299854002523, -0.15319468792369392, -0.22439241775390792, 0.0576830542884133, -0.09866981277956895, -0.2133640531609033, 0.41066342164227304, 0.15402231219799278, 0.24806461342550973, 0.03686039276579593, 0.23051474539312064, 0.19103252846949506, 0.03794207295785982, 0.05134846447184285, 0.1929145912864371, 0.14282918359641752, 0.09660693524233627, -0.2820401468317533, 0.02948357185335658, 0.050199264224539415] |
712.088 | Loss of superfluidity in the Bose-Einstein condensate in an optical
lattice with cubic and quintic nonlinearity | In a one-dimensional shallow optical lattice, in the presence of both cubic
and quintic nonlinearity, a superfluid density wave is identified in a
Bose-Einstein condensate. Interestingly, it ceases to exist when only one of
these interactions is operative. We predict the loss of superfluidity through a
classical dynamical phase transition, where modulational instability leads to
the loss of phase coherence. In a certain parameter domain, the competition
between lattice potential and the interactions is shown to give rise to a
stripe phase, where atoms are confined in finite domains. In a pure two-body
case, apart from the known superfluid and insulating phases, a density wave
insulating phase is found to exist, possessing two frequency modulations
commensurate with the lattice potential.
| cond-mat.other | in a onedimensional shallow optical lattice in the presence of both cubic and quintic nonlinearity a superfluid density wave is identified in a boseeinstein condensate interestingly it ceases to exist when only one of these interactions is operative we predict the loss of superfluidity through a classical dynamical phase transition where modulational instability leads to the loss of phase coherence in a certain parameter domain the competition between lattice potential and the interactions is shown to give rise to a stripe phase where atoms are confined in finite domains in a pure twobody case apart from the known superfluid and insulating phases a density wave insulating phase is found to exist possessing two frequency modulations commensurate with the lattice potential | [['in', 'a', 'onedimensional', 'shallow', 'optical', 'lattice', 'in', 'the', 'presence', 'of', 'both', 'cubic', 'and', 'quintic', 'nonlinearity', 'a', 'superfluid', 'density', 'wave', 'is', 'identified', 'in', 'a', 'boseeinstein', 'condensate', 'interestingly', 'it', 'ceases', 'to', 'exist', 'when', 'only', 'one', 'of', 'these', 'interactions', 'is', 'operative', 'we', 'predict', 'the', 'loss', 'of', 'superfluidity', 'through', 'a', 'classical', 'dynamical', 'phase', 'transition', 'where', 'modulational', 'instability', 'leads', 'to', 'the', 'loss', 'of', 'phase', 'coherence', 'in', 'a', 'certain', 'parameter', 'domain', 'the', 'competition', 'between', 'lattice', 'potential', 'and', 'the', 'interactions', 'is', 'shown', 'to', 'give', 'rise', 'to', 'a', 'stripe', 'phase', 'where', 'atoms', 'are', 'confined', 'in', 'finite', 'domains', 'in', 'a', 'pure', 'twobody', 'case', 'apart', 'from', 'the', 'known', 'superfluid', 'and', 'insulating', 'phases', 'a', 'density', 'wave', 'insulating', 'phase', 'is', 'found', 'to', 'exist', 'possessing', 'two', 'frequency', 'modulations', 'commensurate', 'with', 'the', 'lattice', 'potential']] | [-0.2124283842810352, 0.24425330437564602, -0.07833325855608564, 0.05229748978357141, -0.040387437857377036, -0.15410554768071355, 0.06273959698640587, 0.3546881141451498, -0.2629735655694579, -0.20740264878065015, 0.06828293606619505, -0.3040268811397254, -0.1518478700813527, 0.10345954006770626, 0.060168200723516446, 0.0283884786379834, -0.031566033326089385, 0.0226359643197308, -0.11538300190586596, -0.21879800559642415, 0.32181614245443296, -0.09322552102385089, 0.2828674001929661, 0.08903074176438773, 0.031047351398835115, -0.03555220732620607, 0.11781748927508791, -0.004281122965039685, -0.1437007705681026, -0.003947460884228348, 0.2570113736592854, -0.05344586013428246, 0.21791632959114698, -0.43749124398455025, -0.2654417293340278, 0.11287902611366007, 0.16209595566421436, 0.1882329850535219, -0.0740625723352423, -0.2798493748317317, -0.03946671398201337, -0.1679174671609265, -0.14998977386082213, -0.07942512852217382, 0.04431539382397508, 0.04813126524289449, -0.2918347979430109, 0.14725391987400752, 0.07097400076333239, 0.03891538946772925, -0.08701737605733798, -0.0345950694764421, -0.07444972680338348, 0.04088490484985717, 0.014579856962276002, 0.10126284070235367, 0.04923747654926653, -0.17050173403937757, -0.047281789876675855, 0.43057199750716485, -0.07379467440672063, -0.14258715285298726, 0.21809206663941344, -0.18838230173775325, -0.00888255174116542, 0.20549016192089767, 0.1443696448072539, 0.03199549549802517, -0.07672594000432582, 0.03974662344602014, 0.003526318964092449, 0.20278102420440217, 0.07426430014505361, 0.058849897740098335, 0.2560966252038876, 0.20925875578347283, 0.0637518516043201, 0.1850144038364912, -0.08632635294925421, -0.15890933365250628, -0.26212065745688357, -0.10330447601154447, -0.21212849982354479, 0.008743972914089682, -0.036438357305814864, -0.20963894934854277, 0.3865448859287426, 0.10730580115584114, 0.19340076961865027, -0.05434053207281977, 0.2282971262660188, 0.10900310874955418, 0.05606223441039523, 0.003606490103993565, 0.29725372199900446, 0.1534598697636587, 0.08225045699121741, -0.25849077159170214, -0.008773888760091116, 0.051501070203570025] |
712.0881 | On the "degrees of freedom" of the lasso | We study the effective degrees of freedom of the lasso in the framework of
Stein's unbiased risk estimation (SURE). We show that the number of nonzero
coefficients is an unbiased estimate for the degrees of freedom of the lasso--a
conclusion that requires no special assumption on the predictors. In addition,
the unbiased estimator is shown to be asymptotically consistent. With these
results on hand, various model selection criteria--$C_p$, AIC and BIC--are
available, which, along with the LARS algorithm, provide a principled and
efficient approach to obtaining the optimal lasso fit with the computational
effort of a single ordinary least-squares fit.
| math.ST stat.TH | we study the effective degrees of freedom of the lasso in the framework of steins unbiased risk estimation sure we show that the number of nonzero coefficients is an unbiased estimate for the degrees of freedom of the lassoa conclusion that requires no special assumption on the predictors in addition the unbiased estimator is shown to be asymptotically consistent with these results on hand various model selection criteriac_p aic and bicare available which along with the lars algorithm provide a principled and efficient approach to obtaining the optimal lasso fit with the computational effort of a single ordinary leastsquares fit | [['we', 'study', 'the', 'effective', 'degrees', 'of', 'freedom', 'of', 'the', 'lasso', 'in', 'the', 'framework', 'of', 'steins', 'unbiased', 'risk', 'estimation', 'sure', 'we', 'show', 'that', 'the', 'number', 'of', 'nonzero', 'coefficients', 'is', 'an', 'unbiased', 'estimate', 'for', 'the', 'degrees', 'of', 'freedom', 'of', 'the', 'lassoa', 'conclusion', 'that', 'requires', 'no', 'special', 'assumption', 'on', 'the', 'predictors', 'in', 'addition', 'the', 'unbiased', 'estimator', 'is', 'shown', 'to', 'be', 'asymptotically', 'consistent', 'with', 'these', 'results', 'on', 'hand', 'various', 'model', 'selection', 'criteriac_p', 'aic', 'and', 'bicare', 'available', 'which', 'along', 'with', 'the', 'lars', 'algorithm', 'provide', 'a', 'principled', 'and', 'efficient', 'approach', 'to', 'obtaining', 'the', 'optimal', 'lasso', 'fit', 'with', 'the', 'computational', 'effort', 'of', 'a', 'single', 'ordinary', 'leastsquares', 'fit']] | [-0.0579055025363485, 0.0101355456270952, -0.12708407412907205, 0.07081337312126014, -0.1028194820950019, -0.148729332285866, 0.06487556444192977, 0.3975158321104713, -0.20986773733280062, -0.3136005653740512, 0.12425890150864023, -0.2672982351499197, -0.14531106452671236, 0.16104070471897336, -0.08147906896072565, 0.08038119697156026, 0.08882387664850763, 0.04443685316568308, -0.0545102892270715, -0.29975849110633135, 0.22543201620988162, 0.11096185637090701, 0.2965865689377809, -0.04860059856485153, 0.1571621913870931, 0.06847125274542067, -0.05781513871625066, 0.025479475929180987, -0.1493637800925068, 0.18923893531534783, 0.2307808986173693, 0.12517266917359277, 0.3327747769317753, -0.3314567487302822, -0.19239804250447406, 0.10917492015719336, 0.12358105297142774, 0.11989760330575758, -0.01859954273395394, -0.21645369876137713, 0.0430571808066872, -0.14698504995027817, -0.15576249040356002, -0.11588889948505256, -0.08107904980400789, -0.015391367634028657, -0.3849157574922614, 0.10915650037380137, 0.04719576395126348, 0.06251882871171248, -0.041425155926995055, -0.19096470259840495, -3.480665582549019e-05, 0.0637209079247544, 0.10518884375216152, 0.0034574003393291353, 0.07027879729386918, -0.11828321362509556, -0.08563051481260774, 0.31654829782020955, -0.06938187252806942, -0.24211855455464923, 0.16136879454692105, -0.10650667087799034, -0.14310263979642354, 0.12179199044626283, 0.18030023161014638, 0.1153221470975922, -0.18636572866498963, 0.05842590935830718, -0.08752921033175375, 0.15740100033197207, -0.0010887150623902831, 0.032697259665697274, 0.14420634252259257, 0.13336599120130935, 0.14943113565905808, 0.12162587396229242, -0.07391194454346274, -0.07997205452129398, -0.3327353150420582, -0.1492596945951011, -0.18965458172402277, 0.0032650834362301017, -0.1751773146688626, -0.19277647679723253, 0.36366254874965964, 0.195458114509634, 0.1860412831475824, 0.1038870192192898, 0.31847892038178505, 0.09579094460464477, 0.05566682860965735, 0.10323440099192649, 0.2709518336815779, 0.1354409082859908, -0.04752345042322407, -0.23851508811385053, 0.11874495063111493, 0.03459814455139345] |
712.0882 | Critical line in undirected Kauffman boolean networks - the role of
percolation | We show that to correctly describe the position of the critical line in the
Kauffman random boolean networks one must take into account percolation
phenomena underlying the process of damage spreading. For this reason, since
the issue of percolation transition is much simpler in random undirected
networks, than in the directed ones, we study the Kauffman model in undirected
networks. We derive the mean field formula for the critical line in the giant
component of these networks, and show that the critical line characterizing the
whole network results from the fact that the ordered behavior of small clusters
shields the chaotic behavior of the giant component. We also show a possible
attitude towards the analytical description of the shielding effect. The
theoretical derivations given in this paper quite tally with numerical
simulations done for classical random graphs.
| cond-mat.dis-nn cond-mat.stat-mech | we show that to correctly describe the position of the critical line in the kauffman random boolean networks one must take into account percolation phenomena underlying the process of damage spreading for this reason since the issue of percolation transition is much simpler in random undirected networks than in the directed ones we study the kauffman model in undirected networks we derive the mean field formula for the critical line in the giant component of these networks and show that the critical line characterizing the whole network results from the fact that the ordered behavior of small clusters shields the chaotic behavior of the giant component we also show a possible attitude towards the analytical description of the shielding effect the theoretical derivations given in this paper quite tally with numerical simulations done for classical random graphs | [['we', 'show', 'that', 'to', 'correctly', 'describe', 'the', 'position', 'of', 'the', 'critical', 'line', 'in', 'the', 'kauffman', 'random', 'boolean', 'networks', 'one', 'must', 'take', 'into', 'account', 'percolation', 'phenomena', 'underlying', 'the', 'process', 'of', 'damage', 'spreading', 'for', 'this', 'reason', 'since', 'the', 'issue', 'of', 'percolation', 'transition', 'is', 'much', 'simpler', 'in', 'random', 'undirected', 'networks', 'than', 'in', 'the', 'directed', 'ones', 'we', 'study', 'the', 'kauffman', 'model', 'in', 'undirected', 'networks', 'we', 'derive', 'the', 'mean', 'field', 'formula', 'for', 'the', 'critical', 'line', 'in', 'the', 'giant', 'component', 'of', 'these', 'networks', 'and', 'show', 'that', 'the', 'critical', 'line', 'characterizing', 'the', 'whole', 'network', 'results', 'from', 'the', 'fact', 'that', 'the', 'ordered', 'behavior', 'of', 'small', 'clusters', 'shields', 'the', 'chaotic', 'behavior', 'of', 'the', 'giant', 'component', 'we', 'also', 'show', 'a', 'possible', 'attitude', 'towards', 'the', 'analytical', 'description', 'of', 'the', 'shielding', 'effect', 'the', 'theoretical', 'derivations', 'given', 'in', 'this', 'paper', 'quite', 'tally', 'with', 'numerical', 'simulations', 'done', 'for', 'classical', 'random', 'graphs']] | [-0.14102655372507597, 0.10219443206043138, -0.07201040612472506, 0.07330928950018029, -0.05563407754151654, -0.10875630389939803, 0.05849166795438033, 0.3723770586270703, -0.2409473251989859, -0.26838669851150393, 0.049090920763097054, -0.24888562381668627, -0.23168845098622035, 0.15505191116818112, -0.022685800726149154, 0.03331384968937096, 0.05659973840093254, 0.060714932199377215, 0.004963361421501413, -0.2253887171578342, 0.32973135431997314, 0.03488579820195743, 0.2694711629777168, 0.05821989372586763, 0.02802217094377227, -0.004123242833671996, -0.006230944454037741, 0.056878355336817406, -0.15820505542685506, 0.08767665735909878, 0.23712079338117564, 0.09923791334740002, 0.23347457199201097, -0.45094826557829865, -0.24824934864049628, 0.14202243445040047, 0.15755245456451644, 0.1252029088434566, 0.00604009498454576, -0.2762529845043582, 0.0869950750965054, -0.14275540907384596, -0.15947993158831866, -0.001831902143457075, 0.04648489804928239, 0.030696216442139587, -0.2240021443096445, 0.03139395017774239, 0.1298437818449779, 0.06139683703055782, -0.03244286793093775, -0.1211217195747325, -0.010873197431737272, 0.15934027342319515, 0.005026914860715879, -0.0024316486916130912, 0.130759004783905, -0.157329610946595, -0.13320403591981225, 0.37319022266833235, -0.018312192316881692, -0.15326333520458127, 0.13270481427864642, -0.17814907236330646, -0.18621781476888888, 0.1302396329799599, 0.17068508893836046, 0.09236699855634875, -0.13946909701832347, 0.03197939262808688, -0.05284091539980069, 0.1084827889758842, -0.002702001672591606, -0.023111034259472016, 0.17145988750305488, 0.17484117768378588, 0.05985632465207392, 0.1876316584568525, -0.06374123431470273, -0.160544230467147, -0.26102437060598255, -0.13304588069840179, -0.1967719281177261, 0.05858849733812993, -0.15031040076114982, -0.2014076652635827, 0.40006893942554067, 0.2104920042405945, 0.22253647476543476, 0.12170969725443717, 0.2855363344182226, 0.11593163681019397, 0.04134906179196861, 0.08058881743498364, 0.23859017423224926, 0.15333709959280642, 0.11421042580810124, -0.18369484709636955, 0.12312990436874276, 0.07430796395374605] |
712.0883 | Understanding the physics of oligonucleotide microarrays: the Affymetrix
spike-in data reanalysed | The Affymetrix U95 and U133 Latin Square spike-in datasets are reanalysed,
together with a dataset from a version of the U95 spike-in experiment without a
complex non-specific background. The approach uses a physico-chemical model
which includes the effects the specific and non-specific hybridisation and
probe folding at the microarray surface, target folding and hybridisation in
the bulk RNA target solution, and duplex dissociation during the
post-hybridisatoin washing phase. The model predicts a three parameter
hyperbolic response function that fits well with fluorescence intensity data
from all three datasets. The importance of the various hybridisation and
washing effects in determining each of the three parameters is examined, and
some guidance is given as to how a practical algorithm for determining specific
target concentrations might be developed.
| q-bio.QM q-bio.BM | the affymetrix u95 and u133 latin square spikein datasets are reanalysed together with a dataset from a version of the u95 spikein experiment without a complex nonspecific background the approach uses a physicochemical model which includes the effects the specific and nonspecific hybridisation and probe folding at the microarray surface target folding and hybridisation in the bulk rna target solution and duplex dissociation during the posthybridisatoin washing phase the model predicts a three parameter hyperbolic response function that fits well with fluorescence intensity data from all three datasets the importance of the various hybridisation and washing effects in determining each of the three parameters is examined and some guidance is given as to how a practical algorithm for determining specific target concentrations might be developed | [['the', 'affymetrix', 'u95', 'and', 'u133', 'latin', 'square', 'spikein', 'datasets', 'are', 'reanalysed', 'together', 'with', 'a', 'dataset', 'from', 'a', 'version', 'of', 'the', 'u95', 'spikein', 'experiment', 'without', 'a', 'complex', 'nonspecific', 'background', 'the', 'approach', 'uses', 'a', 'physicochemical', 'model', 'which', 'includes', 'the', 'effects', 'the', 'specific', 'and', 'nonspecific', 'hybridisation', 'and', 'probe', 'folding', 'at', 'the', 'microarray', 'surface', 'target', 'folding', 'and', 'hybridisation', 'in', 'the', 'bulk', 'rna', 'target', 'solution', 'and', 'duplex', 'dissociation', 'during', 'the', 'posthybridisatoin', 'washing', 'phase', 'the', 'model', 'predicts', 'a', 'three', 'parameter', 'hyperbolic', 'response', 'function', 'that', 'fits', 'well', 'with', 'fluorescence', 'intensity', 'data', 'from', 'all', 'three', 'datasets', 'the', 'importance', 'of', 'the', 'various', 'hybridisation', 'and', 'washing', 'effects', 'in', 'determining', 'each', 'of', 'the', 'three', 'parameters', 'is', 'examined', 'and', 'some', 'guidance', 'is', 'given', 'as', 'to', 'how', 'a', 'practical', 'algorithm', 'for', 'determining', 'specific', 'target', 'concentrations', 'might', 'be', 'developed']] | [-0.06412643454353179, 0.09918345065310227, -0.053977382157675245, 0.10002723553079404, -0.04883182110084021, -0.1527132748526113, 0.04844003481682667, 0.3570292137932679, -0.2394150371686363, -0.3361958820403607, 0.09024522985208563, -0.32681202532411824, -0.16451173935524258, 0.19265320931353475, -0.004142757782266159, 0.024693371743456392, 0.09603808326823474, 0.013202983224071747, -0.007768431228146819, -0.18349974975182312, 0.27183595264315114, 0.07815727780857855, 0.30313554512383034, 0.08211411613237866, 0.11222453499001196, 0.0027228312697723384, -0.022508565548130056, 0.0035435088202049416, -0.12809464935635934, 0.08976312626484197, 0.25535388404795945, 0.1360322128161634, 0.23939656248231503, -0.38934758912063827, -0.2238681996241212, 0.075555116754056, 0.09654890827657578, 0.15796426622594384, -0.05925032168372788, -0.2708241751586849, 0.0076950351699940425, -0.10841940023959422, -0.07518547923450382, -0.08321555078314417, -0.00813277087305203, 0.047822152741622825, -0.2957154815508561, 0.05075657644409163, 0.0014769660360911046, 0.07973389461451819, -0.11671365726323536, -0.14920178694989195, -0.06254948029767968, 0.1786937880164305, 0.03435356192837261, 0.032897023412914686, 0.18049224611171635, -0.11578012601864979, -0.0869967299147917, 0.40342318261242355, -0.03615606565428667, -0.20743486774731273, 0.17186893980703816, -0.11406682873883646, -0.12610190562819215, 0.17255877131165182, 0.1485378666711617, 0.08326820269504115, -0.16571874238939355, 0.03607381503569147, 0.01574325761257494, 0.1868021419379583, 0.07254066536961169, -0.03461837299429804, 0.18769373742417117, 0.24646656759360358, 0.0005350649657020392, 0.14408297100092846, -0.16392349518358337, -0.07721513459335796, -0.2518968633991812, -0.12322078502837046, -0.1614113597166609, -0.014170972807409843, -0.10507834214663753, -0.1712753329241325, 0.4245837548255058, 0.11083963708514309, 0.19127530774701973, 0.020748676475299106, 0.2838451127129153, -0.013576972065974519, 0.08719121052090786, -0.02502664876716935, 0.16413235375085222, 0.0582207805007573, 0.05605217619329568, -0.25641880181718096, 0.09477030509151518, 0.01674648900016034] |
712.0884 | Very weak lensing in the CFHTLS Wide: Cosmology from cosmic shear in the
linear regime | We present an exploration of weak lensing by large-scale structure in the
linear regime, using the third-year (T0003) CFHTLS Wide data release. Our
results place tight constraints on the scaling of the amplitude of the matter
power spectrum sigma_8 with the matter density Omega_m. Spanning 57 square
degrees to i'_AB = 24.5 over three independent fields, the unprecedented
contiguous area of this survey permits high signal-to-noise measurements of
two-point shear statistics from 1 arcmin to 4 degrees. Understanding systematic
errors in our analysis is vital in interpreting the results. We therefore
demonstrate the percent-level accuracy of our method using STEP simulations, an
E/B-mode decomposition of the data, and the star-galaxy cross correlation
function. We also present a thorough analysis of the galaxy redshift
distribution using redshift data from the CFHTLS T0003 Deep fields that probe
the same spatial regions as the Wide fields. We find sigma_8(Omega_m/0.25)^0.64
= 0.785+-0.043 using the aperture-mass statistic for the full range of angular
scales for an assumed flat cosmology, in excellent agreement with WMAP3
constraints. The largest physical scale probed by our analysis is 85 Mpc,
assuming a mean redshift of lenses of 0.5 and a LCDM cosmology. This allows for
the first time to constrain cosmology using only cosmic shear measurements in
the linear regime. Using only angular scales theta> 85 arcmin, we find
sigma_8(Omega_m/0.25)_lin^0.53 = 0.837+-0.084, which agree with the results
from our full analysis. Combining our results with data from WMAP3, we find
Omega_m=0.248+-0.019 and sigma_8 = 0.771+-0.029.
| astro-ph | we present an exploration of weak lensing by largescale structure in the linear regime using the thirdyear t0003 cfhtls wide data release our results place tight constraints on the scaling of the amplitude of the matter power spectrum sigma_8 with the matter density omega_m spanning 57 square degrees to i_ab 245 over three independent fields the unprecedented contiguous area of this survey permits high signaltonoise measurements of twopoint shear statistics from 1 arcmin to 4 degrees understanding systematic errors in our analysis is vital in interpreting the results we therefore demonstrate the percentlevel accuracy of our method using step simulations an ebmode decomposition of the data and the stargalaxy cross correlation function we also present a thorough analysis of the galaxy redshift distribution using redshift data from the cfhtls t0003 deep fields that probe the same spatial regions as the wide fields we find sigma_8omega_m025064 07850043 using the aperturemass statistic for the full range of angular scales for an assumed flat cosmology in excellent agreement with wmap3 constraints the largest physical scale probed by our analysis is 85 mpc assuming a mean redshift of lenses of 05 and a lcdm cosmology this allows for the first time to constrain cosmology using only cosmic shear measurements in the linear regime using only angular scales theta 85 arcmin we find sigma_8omega_m025_lin053 08370084 which agree with the results from our full analysis combining our results with data from wmap3 we find omega_m02480019 and sigma_8 07710029 | [['we', 'present', 'an', 'exploration', 'of', 'weak', 'lensing', 'by', 'largescale', 'structure', 'in', 'the', 'linear', 'regime', 'using', 'the', 'thirdyear', 't0003', 'cfhtls', 'wide', 'data', 'release', 'our', 'results', 'place', 'tight', 'constraints', 'on', 'the', 'scaling', 'of', 'the', 'amplitude', 'of', 'the', 'matter', 'power', 'spectrum', 'sigma_8', 'with', 'the', 'matter', 'density', 'omega_m', 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-0.1779718925185406, -0.04617250824156098, -0.06068547160870149] |
712.0885 | Lightest scalar and tensor resonances in $\gamma\gamma\to\pi\pi$ after
the Belle experiment | New high statistics Belle data on the $\gamma\gamma\to\pi^+\pi^-$ reaction
cross section measured in the range of pion-pair invariant masses $\sqrt{s}$
between 0.8 GeV and 1.5 GeV are analyzed to clarify the current situation
around the $\sigma(600)$, $f_0(980)$, and $f_2(1270)$ resonances in
$\gamma\gamma$ collisions. The present analysis shows that the direct coupling
constants of the $\sigma(600)$ and $f_0(980)$ resonances to $\gamma\gamma$ are
small, and the $\sigma(600)\to\gamma\gamma$ and $f_0(980)\to\gamma\gamma$
decays are four-quark transitions caused by the $\pi^+\pi^-$ and $K^+K^-$ loop
mechanisms, respectively. The chiral shielding of the $\sigma(600)$ resonance
takes place in the reactions $\gamma\gamma\to\pi\pi$ as well as in $\pi\pi$
scattering. Some results of a simultaneous description of the
$\gamma\gamma\to\pi^+\pi^-$ and $\gamma\gamma\to\pi^0\pi^0$ Belle data are also
presented. In particular, the following tentative estimate of the
$f_2(1270)\to\gamma\gamma$ decay width is obtained:
$\Gamma_{f_2\to\gamma\gamma}(m^2_{f_2})\approx 3.68$ keV.
| hep-ph hep-ex nucl-th | new high statistics belle data on the gammagammatopipi reaction cross section measured in the range of pionpair invariant masses sqrts between 08 gev and 15 gev are analyzed to clarify the current situation around the sigma600 f_0980 and f_21270 resonances in gammagamma collisions the present analysis shows that the direct coupling constants of the sigma600 and f_0980 resonances to gammagamma are small and the sigma600togammagamma and f_0980togammagamma decays are fourquark transitions caused by the pipi and kk loop mechanisms respectively the chiral shielding of the sigma600 resonance takes place in the reactions gammagammatopipi as well as in pipi scattering some results of a simultaneous description of the gammagammatopipi and gammagammatopi0pi0 belle data are also presented in particular the following tentative estimate of the f_21270togammagamma decay width is obtained gamma_f_2togammagammam2_f_2approx 368 kev | [['new', 'high', 'statistics', 'belle', 'data', 'on', 'the', 'gammagammatopipi', 'reaction', 'cross', 'section', 'measured', 'in', 'the', 'range', 'of', 'pionpair', 'invariant', 'masses', 'sqrts', 'between', '08', 'gev', 'and', '15', 'gev', 'are', 'analyzed', 'to', 'clarify', 'the', 'current', 'situation', 'around', 'the', 'sigma600', 'f_0980', 'and', 'f_21270', 'resonances', 'in', 'gammagamma', 'collisions', 'the', 'present', 'analysis', 'shows', 'that', 'the', 'direct', 'coupling', 'constants', 'of', 'the', 'sigma600', 'and', 'f_0980', 'resonances', 'to', 'gammagamma', 'are', 'small', 'and', 'the', 'sigma600togammagamma', 'and', 'f_0980togammagamma', 'decays', 'are', 'fourquark', 'transitions', 'caused', 'by', 'the', 'pipi', 'and', 'kk', 'loop', 'mechanisms', 'respectively', 'the', 'chiral', 'shielding', 'of', 'the', 'sigma600', 'resonance', 'takes', 'place', 'in', 'the', 'reactions', 'gammagammatopipi', 'as', 'well', 'as', 'in', 'pipi', 'scattering', 'some', 'results', 'of', 'a', 'simultaneous', 'description', 'of', 'the', 'gammagammatopipi', 'and', 'gammagammatopi0pi0', 'belle', 'data', 'are', 'also', 'presented', 'in', 'particular', 'the', 'following', 'tentative', 'estimate', 'of', 'the', 'f_21270togammagamma', 'decay', 'width', 'is', 'obtained', 'gamma_f_2togammagammam2_f_2approx', '368', 'kev']] | [-0.10426500047261054, 0.21390446995623236, -0.03705556098892455, 0.13421906941379022, -0.0477859984249483, -0.09302710799153807, 0.03822436272401305, 0.3228094938767049, -0.15565666610144022, -0.26745505320529145, -0.054289823187724504, -0.36970643660905517, -0.0025865741840260495, 0.1431290160394418, 0.11416383039264023, 0.1065614859234224, 0.10712544451144618, 0.012810926606459903, -0.003223743349270419, -0.14455399907721106, 0.27725982389506676, 0.05271173150877851, 0.1955513932540031, 0.21486824933915985, -0.024795847679596653, 0.024131796080907878, -0.033431846773443206, -0.14383966364453785, -0.17342855464226012, 0.04067142908177122, 0.2620124476925694, 0.07062244930533808, 0.07817287165166219, -0.3171066438649283, -0.07528101565504028, 0.07172409409852049, 0.1790913500328541, 0.05262429553784372, -0.000238175811643113, -0.4055088194079928, 0.11878930928200021, -0.16119020239832674, -0.06781156393545933, -0.0669167327709034, 0.02560120215458983, -0.06342431030763213, -0.3186882034543353, 0.11044506664553029, -0.035926946124121506, 0.07466409097663886, -0.08782921822438407, -0.2539569041439036, -0.050847464704943834, 0.016730580500565296, 0.10992277669438338, 0.033413515481493225, 0.19887060772396567, -0.10594912880558752, -0.1448693621737608, 0.37427235715264495, -0.07138919475842123, -0.1103615683698377, 0.13266860048264958, -0.19181956388706037, -0.11948206961739721, 0.2149141988565409, 0.20511918754475697, 0.024827973251122723, -0.18437881523006877, 0.10409234672136851, 0.008751264686674573, 0.16563207068383087, 0.1334565600503034, 0.08254032166920199, 0.12709519088037255, 0.1706125282541697, -0.07874024752346986, 0.04614645885321665, -0.1261655510450143, -0.07736506104440422, -0.4093945574217526, -0.08836178435012698, -0.04370006586627154, 0.05059490283651552, -0.048166308835281474, -0.04937289157059303, 0.3283306143441519, 0.04370476802190145, 0.3542812576286437, -0.03130743924759386, 0.3117308973861757, 0.12277174634721795, 0.05374027469173767, 0.02412435257186492, 0.37917998001135544, 0.24854494994614534, 0.15846116796078147, -0.2755315149484506, -8.854224859166515e-05, -0.02608484727178895] |
712.0886 | Towards Mirror Symmetry with Semi-Realistic Intersecting Brane
Configurations | A T6 orbifold compactification is discussed from the somewhat unconventional
perspective as the large radius limit of a Landau-Ginzburg model. The features
of the model are in principle familiar, but the way they enter here is
different from the way they enter when using more commonly used methods. It is
hoped that the point of view presented here can supplement the understanding of
the features used in string compactifications, notably in terms of naturalness
and completeness. More precisely, the analyzed T6 / Z_4 x Z_4 features two
different kinds of O-planes, branes in the bulk as well as fractional branes,
continuous and discrete Wilson lines as well as an orientifold action which can
act in different ways on the Wilson lines. The D-branes are desribed by matrix
factorizations. This work is also intended to be a showcase for the potentials
of matrix factorizations which are for the first time geared to their full
level of sophistication in this paper. Throughout the analyis everything is
mapped from the B-model side of the LG-model to the A side by mirror symmetry.
The work could be extended straightforwardly yet tediously to perform mirror
symmetry on a general intersecting brane configuration and to compute Yukawa
couplings. The analysis presented here can also be applied to non-toroidal
backgrounds with an intersecting brane configuration on it, so I hope that it
will be a helpful basis for later applications of mirror symmetry to models
exhibiting real world properties.
| hep-th | a t6 orbifold compactification is discussed from the somewhat unconventional perspective as the large radius limit of a landauginzburg model the features of the model are in principle familiar but the way they enter here is different from the way they enter when using more commonly used methods it is hoped that the point of view presented here can supplement the understanding of the features used in string compactifications notably in terms of naturalness and completeness more precisely the analyzed t6 z_4 x z_4 features two different kinds of oplanes branes in the bulk as well as fractional branes continuous and discrete wilson lines as well as an orientifold action which can act in different ways on the wilson lines the dbranes are desribed by matrix factorizations this work is also intended to be a showcase for the potentials of matrix factorizations which are for the first time geared to their full level of sophistication in this paper throughout the analyis everything is mapped from the bmodel side of the lgmodel to the a side by mirror symmetry the work could be extended straightforwardly yet tediously to perform mirror symmetry on a general intersecting brane configuration and to compute yukawa couplings the analysis presented here can also be applied to nontoroidal backgrounds with an intersecting brane configuration on it so i hope that it will be a helpful basis for later applications of mirror symmetry to models exhibiting real world properties | [['a', 't6', 'orbifold', 'compactification', 'is', 'discussed', 'from', 'the', 'somewhat', 'unconventional', 'perspective', 'as', 'the', 'large', 'radius', 'limit', 'of', 'a', 'landauginzburg', 'model', 'the', 'features', 'of', 'the', 'model', 'are', 'in', 'principle', 'familiar', 'but', 'the', 'way', 'they', 'enter', 'here', 'is', 'different', 'from', 'the', 'way', 'they', 'enter', 'when', 'using', 'more', 'commonly', 'used', 'methods', 'it', 'is', 'hoped', 'that', 'the', 'point', 'of', 'view', 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712.0887 | A random walk description of the heterogeneous glassy dynamics of
attracting colloids | We study the heterogeneous dynamics of attractive colloidal particles close
to the gel transition using confocal microscopy experiments combined with a
theoretical statistical analysis. We focus on single particle dynamics and show
that the self part of the van Hove distribution function is not the Gaussian
expected for a Fickian process, but that it reflects instead the existence, at
any given time, of colloids with widely different mobilities. Our confocal
microscopy measurements can be described well by a simple analytical model
based on a conventional continuous time random walk picture, as already found
in several other glassy materials. In particular, the theory successfully
accounts for the presence of broad tails in the van Hove distributions that
exhibit exponential, rather than Gaussian, decay at large distance.
| cond-mat.soft cond-mat.stat-mech | we study the heterogeneous dynamics of attractive colloidal particles close to the gel transition using confocal microscopy experiments combined with a theoretical statistical analysis we focus on single particle dynamics and show that the self part of the van hove distribution function is not the gaussian expected for a fickian process but that it reflects instead the existence at any given time of colloids with widely different mobilities our confocal microscopy measurements can be described well by a simple analytical model based on a conventional continuous time random walk picture as already found in several other glassy materials in particular the theory successfully accounts for the presence of broad tails in the van hove distributions that exhibit exponential rather than gaussian decay at large distance | [['we', 'study', 'the', 'heterogeneous', 'dynamics', 'of', 'attractive', 'colloidal', 'particles', 'close', 'to', 'the', 'gel', 'transition', 'using', 'confocal', 'microscopy', 'experiments', 'combined', 'with', 'a', 'theoretical', 'statistical', 'analysis', 'we', 'focus', 'on', 'single', 'particle', 'dynamics', 'and', 'show', 'that', 'the', 'self', 'part', 'of', 'the', 'van', 'hove', 'distribution', 'function', 'is', 'not', 'the', 'gaussian', 'expected', 'for', 'a', 'fickian', 'process', 'but', 'that', 'it', 'reflects', 'instead', 'the', 'existence', 'at', 'any', 'given', 'time', 'of', 'colloids', 'with', 'widely', 'different', 'mobilities', 'our', 'confocal', 'microscopy', 'measurements', 'can', 'be', 'described', 'well', 'by', 'a', 'simple', 'analytical', 'model', 'based', 'on', 'a', 'conventional', 'continuous', 'time', 'random', 'walk', 'picture', 'as', 'already', 'found', 'in', 'several', 'other', 'glassy', 'materials', 'in', 'particular', 'the', 'theory', 'successfully', 'accounts', 'for', 'the', 'presence', 'of', 'broad', 'tails', 'in', 'the', 'van', 'hove', 'distributions', 'that', 'exhibit', 'exponential', 'rather', 'than', 'gaussian', 'decay', 'at', 'large', 'distance']] | [-0.06727711643464863, 0.14555170334503054, -0.14657787741348147, 0.06084443630983878, -0.0010813718661665916, -0.18430565302073956, 0.016234734144061805, 0.3786213738620281, -0.25780832665413617, -0.26121626020222904, 0.021177118632011115, -0.30491309782862663, -0.19143310893326998, 0.19012750946264714, 0.008716722596436738, 0.07407829753309489, 0.018523967131972314, -0.022246593010611833, -0.0444908136036247, -0.19332930739969015, 0.2784773774370551, 0.06390284394472838, 0.30857230857387186, 0.06117295717727393, 0.07854691484197975, 0.06939217406883835, 0.03372725248709321, 0.05420201551541686, -0.1626081484099268, 0.06011383590474725, 0.20538836001046, -0.006795772639394272, 0.26467021041736005, -0.44781842570006847, -0.26600210958719256, 0.08648465467989444, 0.15798476526886224, 0.11721757506206631, -0.0785790714342147, -0.27931082909554245, 0.04829933743178844, -0.125026521589607, -0.14554239737056196, -0.07829681892693043, -0.006000518549233675, 0.07924950196035206, -0.22165692125074565, 0.14149061251990497, 0.04634907387662679, 0.06578910325840115, -0.05902893180586398, -0.07531344339251518, 0.018821677148342132, 0.06965353802591562, 0.030157368031097576, 0.008209382699802517, 0.20735765480343252, -0.11107166152819992, -0.1168966533318162, 0.37671810820885004, -0.09090991014393512, -0.16434520788490772, 0.2409307054001838, -0.1938776220716536, -0.11067897425591945, 0.1737124043405056, 0.1349131300477311, 0.10729973519966006, -0.17178018046170473, 0.059869611665199045, -0.04814262486994267, 0.18613659665733576, 0.06079947789572179, 0.008611134365200996, 0.21483320609107615, 0.1781492242347449, 0.01535607911273837, 0.12006746920151636, -0.10206956885382533, -0.1458008744046092, -0.26800709430873393, -0.12699521103315056, -0.259584312595427, 0.040807474103872664, -0.11510812166694086, -0.21793434709310533, 0.34774092320352795, 0.10342580291070044, 0.23670457595586777, 0.06897965285927057, 0.2800410945564508, 0.10013694509398192, 0.051707075990736484, 0.007608450618747156, 0.22881185352057218, 0.08778090624138712, 0.09805422626808286, -0.1876949735749513, 0.10486655998975039, 0.013291158985346555] |
712.0888 | Abilities of multidimensional gravity | We show that a number of problems of modern cosmology may be addressed and
solved in the framework of multidimensional gravity with high-order curvature
invariants, without invoking other fields. As applications of this approach, we
mention primordial inflation and particle production after it; description of
the modern accelerated stage of the Universe with stable compact extra
dimensions; construction of asymmetric thick brane-world models.
| gr-qc | we show that a number of problems of modern cosmology may be addressed and solved in the framework of multidimensional gravity with highorder curvature invariants without invoking other fields as applications of this approach we mention primordial inflation and particle production after it description of the modern accelerated stage of the universe with stable compact extra dimensions construction of asymmetric thick braneworld models | [['we', 'show', 'that', 'a', 'number', 'of', 'problems', 'of', 'modern', 'cosmology', 'may', 'be', 'addressed', 'and', 'solved', 'in', 'the', 'framework', 'of', 'multidimensional', 'gravity', 'with', 'highorder', 'curvature', 'invariants', 'without', 'invoking', 'other', 'fields', 'as', 'applications', 'of', 'this', 'approach', 'we', 'mention', 'primordial', 'inflation', 'and', 'particle', 'production', 'after', 'it', 'description', 'of', 'the', 'modern', 'accelerated', 'stage', 'of', 'the', 'universe', 'with', 'stable', 'compact', 'extra', 'dimensions', 'construction', 'of', 'asymmetric', 'thick', 'braneworld', 'models']] | [-0.12210473085251002, 0.14332044044775621, -0.10886476716647546, 0.10830998521054253, -0.07197076165013844, -0.17229545934657967, -0.08725861108137502, 0.32488900440789403, -0.2529604779482479, -0.33774697683042004, 0.09981651449509497, -0.17164437843871022, -0.11170141188989556, 0.21376036988046493, -0.06323555083797565, 0.01323460122119517, 0.07585168176049752, 0.015508688816298095, -0.027235686893589676, -0.28915578341628945, 0.35977812619909405, 0.07318274657951579, 0.19340265397396353, 0.020165250991426763, 0.10414610206914533, -0.05860834453432333, -0.050286558799497366, 0.05483741821750762, -0.11682650351230266, 0.1542191535884899, 0.20721330340945446, 0.16468112345134456, 0.23492968987141336, -0.47293593438844833, -0.31137980845533236, 0.13811276170669035, 0.1376751112263827, 0.1572562904348449, -0.10610319033915562, -0.24868832442850347, 0.062240620335889243, -0.1953693414106965, -0.19356004354203976, -0.08190513483529525, -0.028957987211585517, -0.047685484180138224, -0.22323829022287908, 0.10009443214429277, 0.06875898828175628, -0.01380342260993544, -0.05949961977626478, -0.07915417104959488, 0.012999508086414565, 0.006904774818510291, 0.09144972125807452, -0.007650955040599146, 0.13046825090275396, -0.16743216380783696, -0.14362492600071525, 0.40571541383507703, -0.12849617657059478, -0.159678425610302, 0.15513369684950226, -0.11643578295433332, -0.17952717508056334, 0.07214879395721095, 0.17298883422913533, 0.16499193531594106, -0.09540901888930609, 0.16665160241869412, 0.052990894424655134, 0.12237671116322633, 0.12216695887406194, 0.0420702221537275, 0.30377580864088877, 0.16540982460396159, -0.0059069421970182, 0.09823771574929918, -0.025979687947602498, -0.13186358823071395, -0.37408307667762514, -0.1633363998137481, -0.14616132135843002, 0.05215341311007265, -0.15231060971356264, -0.18692816081382926, 0.3448887080515897, 0.12841171661340114, 0.13695923435605234, -0.00046916060622722384, 0.30976072577611796, 0.06218322343747353, 0.04339873894221253, 0.08168088107015051, 0.2282361522435196, 0.12840417536005141, 0.10723880252298264, -0.1803318355971622, -0.044048382586518685, 0.07094745985454037] |
712.0889 | Gaia: Organisation and challenges for the data processing | Gaia is an ambitious space astrometry mission of ESA with a main objective to
map the sky in astrometry and photometry down to a magnitude 20 by the end of
the next decade. While the mission is built and operated by ESA and an
industrial consortium, the data processing is entrusted to a consortium formed
by the scientific community, which was formed in 2006 and formally selected by
ESA one year later. The satellite will downlink around 100 TB of raw telemetry
data over a mission duration of 5 years from which a very complex iterative
processing will lead to the final science output: astrometry with a final
accuracy of a few tens of microarcseconds, epoch photometry in wide and narrow
bands, radial velocity and spectra for the stars brighter than 17 mag. We
discuss the general principles and main difficulties of this very large data
processing and present the organisation of the European Consortium responsible
for its design and implementation.
| astro-ph | gaia is an ambitious space astrometry mission of esa with a main objective to map the sky in astrometry and photometry down to a magnitude 20 by the end of the next decade while the mission is built and operated by esa and an industrial consortium the data processing is entrusted to a consortium formed by the scientific community which was formed in 2006 and formally selected by esa one year later the satellite will downlink around 100 tb of raw telemetry data over a mission duration of 5 years from which a very complex iterative processing will lead to the final science output astrometry with a final accuracy of a few tens of microarcseconds epoch photometry in wide and narrow bands radial velocity and spectra for the stars brighter than 17 mag we discuss the general principles and main difficulties of this very large data processing and present the organisation of the european consortium responsible for its design and implementation | [['gaia', 'is', 'an', 'ambitious', 'space', 'astrometry', 'mission', 'of', 'esa', 'with', 'a', 'main', 'objective', 'to', 'map', 'the', 'sky', 'in', 'astrometry', 'and', 'photometry', 'down', 'to', 'a', 'magnitude', '20', 'by', 'the', 'end', 'of', 'the', 'next', 'decade', 'while', 'the', 'mission', 'is', 'built', 'and', 'operated', 'by', 'esa', 'and', 'an', 'industrial', 'consortium', 'the', 'data', 'processing', 'is', 'entrusted', 'to', 'a', 'consortium', 'formed', 'by', 'the', 'scientific', 'community', 'which', 'was', 'formed', 'in', '2006', 'and', 'formally', 'selected', 'by', 'esa', 'one', 'year', 'later', 'the', 'satellite', 'will', 'downlink', 'around', '100', 'tb', 'of', 'raw', 'telemetry', 'data', 'over', 'a', 'mission', 'duration', 'of', '5', 'years', 'from', 'which', 'a', 'very', 'complex', 'iterative', 'processing', 'will', 'lead', 'to', 'the', 'final', 'science', 'output', 'astrometry', 'with', 'a', 'final', 'accuracy', 'of', 'a', 'few', 'tens', 'of', 'microarcseconds', 'epoch', 'photometry', 'in', 'wide', 'and', 'narrow', 'bands', 'radial', 'velocity', 'and', 'spectra', 'for', 'the', 'stars', 'brighter', 'than', '17', 'mag', 'we', 'discuss', 'the', 'general', 'principles', 'and', 'main', 'difficulties', 'of', 'this', 'very', 'large', 'data', 'processing', 'and', 'present', 'the', 'organisation', 'of', 'the', 'european', 'consortium', 'responsible', 'for', 'its', 'design', 'and', 'implementation']] | [-0.07372354714327162, 0.11399394170737606, -0.07752872261606296, 0.022740124743605344, -0.10806535814906129, -0.04668744982607802, 0.05422082472366992, 0.36551465282667867, -0.23018798031714044, -0.4211631510522425, 0.1638337453553939, -0.2951231716368463, -0.0606218539192833, 0.2327619552386705, -0.1073013942844888, 0.04020700236942955, 0.16015363766910126, -0.044012311769371724, -0.04020318850550963, -0.3228391773741322, 0.22838163198266895, 0.15854404970818425, 0.22259882616706378, -0.06770679701165938, 0.09652346334281314, -0.04118276074216325, -0.09826639055719842, -0.05309760184421331, -0.11089923161353847, 0.14567344527263543, 0.3169150608967735, 0.20466384810528584, 0.32114307996556624, -0.35817472313918314, -0.149364262373875, 0.03608295046695456, 0.09124956186571569, 0.006232712385573667, -0.022033631117574823, -0.3322112350059407, 0.05035710857706781, -0.21173062194023073, -0.14981861410211333, -0.001918341636206515, 0.08617573095809507, 0.006725499487079981, -0.21805588631480008, 0.004512927880342934, -0.018641765366788514, 0.1292252814547616, -0.11455599590702133, -0.09458743138397864, -0.03740325519201918, 0.13519508569495556, -0.023247054221270526, 0.1116641343452661, 0.08792903844660484, -0.10486226674256388, -0.07283601038930186, 0.44728576347972293, -0.07917364127328402, 0.019392717213179013, 0.12710266155284766, -0.18213120680620534, -0.16774703318438267, 0.12421579528831361, 0.19778902050663041, 0.08559180096208309, -0.21368035862673512, 0.024180297126273353, 0.07960089236665632, 0.2037816147901326, 0.09210776326373821, 0.025360930516161836, 0.2600680909217885, 0.22192751521661136, 0.10374430153715591, 0.08885395182340018, -0.2310836235455726, -0.037797269427292744, -0.25032076830917865, -0.12276544308388224, -0.17282846859390183, 0.019705218845770135, -0.06099006035197049, -0.050653819307129574, 0.411275904293039, 0.1350078529921239, 0.132139630585342, 0.0011072993894564625, 0.3536344685400865, 0.005035675394345908, 0.11780821758767833, 0.05539742742971696, 0.3029614878667993, 0.0734477525689749, 0.1758665930319242, -0.10135477355692929, 0.02126527634147057, -0.02128358004088311] |
712.089 | On closure operators and reflections in Goursat categories | By defining a closure operator on effective equivalence relations in a
regular category $C$, it is possible to establish a bijective correspondence
between these closure operators and the regular epireflective subcategories $L$
of $C$. When $C$ is an exact Goursat category this correspondence restricts to
a bijection between the Birkhoff closure operators on effective equivalence
relations and the Birkhoff subcategories of $C$. In this case it is possible to
provide an explicit description of the closure, and to characterise the
congruence distributive Goursat categories.
| math.CT | by defining a closure operator on effective equivalence relations in a regular category c it is possible to establish a bijective correspondence between these closure operators and the regular epireflective subcategories l of c when c is an exact goursat category this correspondence restricts to a bijection between the birkhoff closure operators on effective equivalence relations and the birkhoff subcategories of c in this case it is possible to provide an explicit description of the closure and to characterise the congruence distributive goursat categories | [['by', 'defining', 'a', 'closure', 'operator', 'on', 'effective', 'equivalence', 'relations', 'in', 'a', 'regular', 'category', 'c', 'it', 'is', 'possible', 'to', 'establish', 'a', 'bijective', 'correspondence', 'between', 'these', 'closure', 'operators', 'and', 'the', 'regular', 'epireflective', 'subcategories', 'l', 'of', 'c', 'when', 'c', 'is', 'an', 'exact', 'goursat', 'category', 'this', 'correspondence', 'restricts', 'to', 'a', 'bijection', 'between', 'the', 'birkhoff', 'closure', 'operators', 'on', 'effective', 'equivalence', 'relations', 'and', 'the', 'birkhoff', 'subcategories', 'of', 'c', 'in', 'this', 'case', 'it', 'is', 'possible', 'to', 'provide', 'an', 'explicit', 'description', 'of', 'the', 'closure', 'and', 'to', 'characterise', 'the', 'congruence', 'distributive', 'goursat', 'categories']] | [-0.17745010601356626, 0.023503493487494, -0.062243923966196324, 0.1585585496989855, -0.11674224112426773, -0.14789712113062187, 0.0641120976568865, 0.3475351424532987, -0.4068063350139363, -0.17582572111859918, 0.04700796638471296, -0.25753878674004227, -0.08872718780878044, 0.15452136731307423, -0.1420671509002291, -0.03747757441098137, 0.07787472938763954, 0.0899282100342264, -0.14137054784251155, -0.18920953010785438, 0.40036197361491976, -0.03563433038514285, 0.2743579425649451, 0.04176585894033667, 0.10411446377457607, -0.015608607342333667, -0.010515395452135376, 0.01409464320611386, -0.16787481669148074, 0.16268620062397704, 0.3204758628936751, 0.13826239307499713, 0.14656659464318572, -0.3332968305718775, -0.018136301041869002, 0.15125193575485832, 0.11032109912706628, -0.00928741549640628, 0.034567292993112154, -0.29015155067567583, 0.08823766714582841, -0.20827605025399298, -0.11188454048464164, -0.08982720975819532, 0.19870544767140277, -0.008229881558301193, -0.2791645518404299, -0.03458233870956714, 0.16540880430312382, 0.16030170254054524, -0.07615584059662762, 0.002486271900124848, -0.04226933695220699, 0.09442446371325613, -0.03170992837320747, 0.03627390895105366, 0.01749763052378382, -0.08167703477998398, -0.05525989231786558, 0.360926981228182, -0.007854552213324323, -0.24990345885799753, 0.21864725408765176, -0.11729001528528031, -0.11627734695295137, 0.0731122809950085, -0.004378677567555791, 0.12509506288361513, -0.10724067117050817, 0.22765321192301122, -0.18337063121032857, 0.05778094378876544, 0.12899782742551041, -0.01403475690278269, 0.17024653735348866, 0.10144701242097653, 0.0454282021216516, 0.1569743796939119, 0.0654487912487682, -0.048512695535984154, -0.39795894073765903, -0.18930654623961476, -0.04926398626550855, 0.0984055227655474, -0.10763723191398424, -0.21553077503284884, 0.3471377407743906, 0.09140938230779111, 0.18643770702848478, 0.15762150081406748, 0.2073037981671015, 0.07065891646890946, 0.0858235719746777, 0.030993954850211076, 0.16008350372015098, 0.2678652966334041, -0.03577065512183167, -0.16317055466961825, -0.0066847838073348, 0.2678839718435137] |
712.0891 | Statistical physics in deformed spaces with minimal length | We considered the thermodynamics in spaces with deformed commutation relation
leading to existence of the minimal length. We developed a classical method of
the partition function evaluation. We calculated the partition function and
heat capacity for ideal gas and harmonic oscillators using this method. The
obtained results are in good agreement with the exact quantum ones. We also
showed that the minimal length introduction reduces degrees of freedom of an
arbitrary system in the high temperature limit significantly.
| quant-ph | we considered the thermodynamics in spaces with deformed commutation relation leading to existence of the minimal length we developed a classical method of the partition function evaluation we calculated the partition function and heat capacity for ideal gas and harmonic oscillators using this method the obtained results are in good agreement with the exact quantum ones we also showed that the minimal length introduction reduces degrees of freedom of an arbitrary system in the high temperature limit significantly | [['we', 'considered', 'the', 'thermodynamics', 'in', 'spaces', 'with', 'deformed', 'commutation', 'relation', 'leading', 'to', 'existence', 'of', 'the', 'minimal', 'length', 'we', 'developed', 'a', 'classical', 'method', 'of', 'the', 'partition', 'function', 'evaluation', 'we', 'calculated', 'the', 'partition', 'function', 'and', 'heat', 'capacity', 'for', 'ideal', 'gas', 'and', 'harmonic', 'oscillators', 'using', 'this', 'method', 'the', 'obtained', 'results', 'are', 'in', 'good', 'agreement', 'with', 'the', 'exact', 'quantum', 'ones', 'we', 'also', 'showed', 'that', 'the', 'minimal', 'length', 'introduction', 'reduces', 'degrees', 'of', 'freedom', 'of', 'an', 'arbitrary', 'system', 'in', 'the', 'high', 'temperature', 'limit', 'significantly']] | [-0.13396819476232244, 0.12065794566241003, -0.050661633985164836, 0.06337944116556826, -0.0023938951870569815, -0.10161385314467435, 0.0594888380728662, 0.332332985344319, -0.22242864419539005, -0.27115514788191575, 0.028669191969152637, -0.30235722875938964, -0.14178690579063138, 0.21091625199486047, -0.038851997546421796, 0.08459650214092854, 0.05961943959865051, 0.06011595697297404, -0.11334098261506416, -0.24558543505815741, 0.28423930890858173, 0.08271719531293432, 0.30007182109432345, 0.058417380190430544, 0.12154061538286698, 0.037977019095053084, 0.011995302053550497, 0.06033359126498302, -0.20948080274096215, 0.1294377327610094, 0.2046821465423235, 0.05467732626204498, 0.18882901173753616, -0.3997404989786446, -0.19606559228104276, 0.1053955487262171, 0.11669092846867175, 0.11069235291618568, -0.02811635246213812, -0.20680794518632004, 0.048915031037699334, -0.19093206631712234, -0.19610279687465385, -0.08699309483218269, -0.01770169392395287, 0.024499001930682704, -0.2537747483031872, 0.09261204799874506, 0.06514446105127437, 0.057567379413506925, -0.09129566847807907, -0.10478186884817357, 0.002205721293695462, 0.1275055439521869, 0.00548788341275679, 0.0360269139890965, 0.09326838226750112, -0.13072852566181561, -0.07561256835022225, 0.3385989217398067, -0.1007386802856882, -0.2565565531930098, 0.1710622604781141, -0.15356773405503005, -0.11161883935654679, 0.1041766535371351, 0.07918156047041218, 0.10004548477053714, -0.1259110734009972, 0.09949472047334823, -0.037123594033078126, 0.16486525867217913, 0.07374391729274812, 0.06544881033961503, 0.16690572512407714, 0.1224477166453233, 0.021875618216701042, 0.22697865212252602, -0.01970820565922902, -0.1540689102444165, -0.3262534918597875, -0.17856902696448976, -0.19437931792643398, 0.04563085466193465, -0.1427469312967822, -0.1495590593937474, 0.3696573475757853, 0.14159446023479225, 0.1721840526360887, 0.10008241184867728, 0.2633713010746317, 0.16730032686908275, 0.06737201367967571, 0.08085273907113916, 0.2141436229292781, 0.16846661885471967, 0.05945774114045959, -0.27434126855745816, -0.02090720055051721, 0.12562274393171835] |
712.0892 | On surrogate dimension reduction for measurement error regression: An
invariance law | We consider a general nonlinear regression problem where the predictors
contain measurement error. It has been recently discovered that several
well-known dimension reduction methods, such as OLS, SIR and pHd, can be
performed on the surrogate regression problem to produce consistent estimates
for the original regression problem involving the unobserved true predictor. In
this paper we establish a general invariance law between the surrogate and the
original dimension reduction spaces, which implies that, at least at the
population level, the two dimension reduction problems are in fact equivalent.
Consequently we can apply all existing dimension reduction methods to
measurement error regression problems. The equivalence holds exactly for
multivariate normal predictors, and approximately for arbitrary predictors. We
also characterize the rate of convergence for the surrogate dimension reduction
estimators. Finally, we apply several dimension reduction methods to real and
simulated data sets involving measurement error to compare their performances.
| math.ST stat.TH | we consider a general nonlinear regression problem where the predictors contain measurement error it has been recently discovered that several wellknown dimension reduction methods such as ols sir and phd can be performed on the surrogate regression problem to produce consistent estimates for the original regression problem involving the unobserved true predictor in this paper we establish a general invariance law between the surrogate and the original dimension reduction spaces which implies that at least at the population level the two dimension reduction problems are in fact equivalent consequently we can apply all existing dimension reduction methods to measurement error regression problems the equivalence holds exactly for multivariate normal predictors and approximately for arbitrary predictors we also characterize the rate of convergence for the surrogate dimension reduction estimators finally we apply several dimension reduction methods to real and simulated data sets involving measurement error to compare their performances | [['we', 'consider', 'a', 'general', 'nonlinear', 'regression', 'problem', 'where', 'the', 'predictors', 'contain', 'measurement', 'error', 'it', 'has', 'been', 'recently', 'discovered', 'that', 'several', 'wellknown', 'dimension', 'reduction', 'methods', 'such', 'as', 'ols', 'sir', 'and', 'phd', 'can', 'be', 'performed', 'on', 'the', 'surrogate', 'regression', 'problem', 'to', 'produce', 'consistent', 'estimates', 'for', 'the', 'original', 'regression', 'problem', 'involving', 'the', 'unobserved', 'true', 'predictor', 'in', 'this', 'paper', 'we', 'establish', 'a', 'general', 'invariance', 'law', 'between', 'the', 'surrogate', 'and', 'the', 'original', 'dimension', 'reduction', 'spaces', 'which', 'implies', 'that', 'at', 'least', 'at', 'the', 'population', 'level', 'the', 'two', 'dimension', 'reduction', 'problems', 'are', 'in', 'fact', 'equivalent', 'consequently', 'we', 'can', 'apply', 'all', 'existing', 'dimension', 'reduction', 'methods', 'to', 'measurement', 'error', 'regression', 'problems', 'the', 'equivalence', 'holds', 'exactly', 'for', 'multivariate', 'normal', 'predictors', 'and', 'approximately', 'for', 'arbitrary', 'predictors', 'we', 'also', 'characterize', 'the', 'rate', 'of', 'convergence', 'for', 'the', 'surrogate', 'dimension', 'reduction', 'estimators', 'finally', 'we', 'apply', 'several', 'dimension', 'reduction', 'methods', 'to', 'real', 'and', 'simulated', 'data', 'sets', 'involving', 'measurement', 'error', 'to', 'compare', 'their', 'performances']] | [-0.018284178715328232, -0.010032709153067018, -0.06199821197062831, 0.15656036488173805, -0.050083355952960415, -0.19625147344620042, 0.028230297751252766, 0.35973604368297635, -0.2798896882859235, -0.2777112565393484, 0.16546455061069462, -0.28936089159027245, -0.16168515213979157, 0.2155748896514745, -0.12231135954042091, 0.12547064089921076, 0.07511762649094611, 0.017393223557470215, -0.10885559698894016, -0.36576960409670517, 0.30927392922977387, 0.016189078567549586, 0.2891913391020451, -0.029632145661634166, 0.15245962331480128, 0.03187436257438684, -0.031394614687038434, 0.0605204682757864, -0.10835497903787433, 0.14257003513213587, 0.29307980208682854, 0.14147107070154585, 0.317530149049629, -0.34482810833189337, -0.23189728677342017, 0.17172229909841474, 0.12731669436372514, 0.11988552654322514, 0.02517817125929444, -0.21763186971656978, 0.062178381138191734, -0.13307529044608157, -0.10641198693711713, -0.10789721451284415, -0.018831577101672017, -0.03749730696624799, -0.3572809409343864, 0.13069811433917886, 0.06019653253748107, 0.07986600061475828, -0.05328410691770448, -0.15564814323521647, 0.037831555828577966, 0.08759746851707884, 0.08144524775530412, -0.0063847317224654775, 0.08155854475881898, -0.07225026222688423, -0.1498910291277728, 0.32703317412351435, -0.0603578052364724, -0.2563844228578681, 0.21453031378080817, -0.11922166704450343, -0.1691094599121464, 0.099556832269111, 0.2513404824657718, 0.06057212664534352, -0.13784140843042247, 0.07102836494969607, -0.05406743285365755, 0.15592592503762226, 0.07408798935373213, -0.008436821137611577, 0.05569053668138647, 0.15974529138121224, 0.11360745974564673, 0.12693860954715167, -0.11420904044722635, -0.0468200207794104, -0.2952524863546903, -0.1380702257880035, -0.17299549693848962, 0.021217038213099178, -0.13812335749822227, -0.15206893597968626, 0.3520916486662385, 0.16697890599056878, 0.17185551229537138, 0.14783606551213166, 0.29644779234847707, 0.15161122521778844, 0.05247970017513286, 0.09055094676394318, 0.20953423586812475, 0.1382062136308869, 0.003406352501180073, -0.18194379784305253, 0.10568257097494663, 0.10265565657440724] |
712.0893 | Anomalous transport in biased ac-driven Josephson junctions: Negative
conductances | We investigate classical anomalous electrical transport in a driven,
resistively and capacitively shunted Josephson junction device. Novel transport
phenomena are identified in chaotic regimes when the junction is subjected to
both, a time periodic (ac) and a constant, biasing (dc) current. The dependence
of the voltage across the junction on the dc-current exhibits a rich diversity
of anomalous transport characteristics: In particular, depending on the chosen
parameter regime we can identify so termed absolute negative conductance around
zero dc-bias, the occurrence of negative differential conductance and, after
crossing a zero conductance, the emergence of a negative nonlinear conductance
in the non-equilibrium response regime remote from zero dc-bias.
| cond-mat.supr-con | we investigate classical anomalous electrical transport in a driven resistively and capacitively shunted josephson junction device novel transport phenomena are identified in chaotic regimes when the junction is subjected to both a time periodic ac and a constant biasing dc current the dependence of the voltage across the junction on the dccurrent exhibits a rich diversity of anomalous transport characteristics in particular depending on the chosen parameter regime we can identify so termed absolute negative conductance around zero dcbias the occurrence of negative differential conductance and after crossing a zero conductance the emergence of a negative nonlinear conductance in the nonequilibrium response regime remote from zero dcbias | [['we', 'investigate', 'classical', 'anomalous', 'electrical', 'transport', 'in', 'a', 'driven', 'resistively', 'and', 'capacitively', 'shunted', 'josephson', 'junction', 'device', 'novel', 'transport', 'phenomena', 'are', 'identified', 'in', 'chaotic', 'regimes', 'when', 'the', 'junction', 'is', 'subjected', 'to', 'both', 'a', 'time', 'periodic', 'ac', 'and', 'a', 'constant', 'biasing', 'dc', 'current', 'the', 'dependence', 'of', 'the', 'voltage', 'across', 'the', 'junction', 'on', 'the', 'dccurrent', 'exhibits', 'a', 'rich', 'diversity', 'of', 'anomalous', 'transport', 'characteristics', 'in', 'particular', 'depending', 'on', 'the', 'chosen', 'parameter', 'regime', 'we', 'can', 'identify', 'so', 'termed', 'absolute', 'negative', 'conductance', 'around', 'zero', 'dcbias', 'the', 'occurrence', 'of', 'negative', 'differential', 'conductance', 'and', 'after', 'crossing', 'a', 'zero', 'conductance', 'the', 'emergence', 'of', 'a', 'negative', 'nonlinear', 'conductance', 'in', 'the', 'nonequilibrium', 'response', 'regime', 'remote', 'from', 'zero', 'dcbias']] | [-0.2825451721828953, 0.1742260985002444, -0.05647651111123927, -0.009782931542189392, -0.05005472371894344, -0.24619582168340126, 0.10605950544100846, 0.31671990917247034, -0.2886833589976636, -0.26391945744507783, -0.009520501645812852, -0.295867421246508, -0.1721888417900305, 0.23550286138795803, -0.014791250041746926, 0.029490408726976575, -0.04018350385094636, 0.0022517064255531704, -0.04058936031570084, -0.12555576356075634, 0.26298198821654145, -0.020169350584081123, 0.36982318999193536, 0.04753609771065623, 0.1055309769749711, -0.05882531778765059, 0.07826701207869799, 0.11116588409885625, -0.15544737019400964, -0.0553561237457896, 0.2120702111893377, -0.1501661172510934, 0.23297746785019882, -0.45324642814382493, -0.1976784167410893, 0.04604344831988494, 0.1514897011285735, 0.12165916003896116, -0.028191979828717136, -0.25331639048478033, 0.02778910091756103, -0.11270156903975756, -0.07735980479982377, -0.030024742992664468, 0.014821228693091423, 0.03730354011581044, -0.2402315972140059, 0.1375408388900562, 0.020555762930938574, 0.0787121748429871, -0.0011110955057230508, -0.07089540473605445, -0.04179254903841033, 0.09557469471555778, -0.022648835765789743, -0.06003146367495723, 0.23370080532192766, -0.15031453880925325, -0.11051510737895548, 0.23144001972417685, -0.1363646790568029, -0.1367276284547749, 0.14226195429208052, -0.21727794644675244, -0.03635416921907078, 0.13574271636283913, 0.13257652905847983, 0.07828416710308204, -0.1824168833305844, 0.07392516955091383, 0.03395759023804322, 0.10846773458418445, 0.09312114587584598, 0.030553695597799024, 0.28823713956522606, 0.20883613602458456, 0.07999990265120134, 0.1764471122307407, -0.1620933429172663, -0.08361711251662574, -0.2873043176276331, -0.10001367279633044, -0.14376365165356722, 0.1334604366168937, -0.036846849575195954, -0.25236910985451994, 0.4731454085036416, 0.17139983940249415, 0.21276184281325577, -0.046809814324456696, 0.31183063416419743, 0.2279952076246318, 0.039512002398912734, 0.028178186188495467, 0.19813888251811929, 0.19018692638024373, 0.18953843911778984, -0.40216619784456337, 0.10361546737133204, -0.04660529583675143] |
712.0894 | Optimal third root asymptotic bounds in the statistical estimation of
thresholds | This paper is concerned with estimating the intersection point of two
densities, given a sample of both of the densities. This problem arises in
classification theory. The main results provide lower bounds for the
probability of the estimation errors to be large on a scale determined by the
inverse cube root of the sample size. As corollaries, we obtain probabilistic
bounds for the prediction error in a classification problem. The key to the
proof is an entropy estimate. The lower bounds are based on bounds for general
estimators, which are applicable in other contexts as well. Furthermore, we
introduce a class of optimal estimators whose errors asymptotically meet the
border permitted by the lower bounds.
| math.ST stat.TH | this paper is concerned with estimating the intersection point of two densities given a sample of both of the densities this problem arises in classification theory the main results provide lower bounds for the probability of the estimation errors to be large on a scale determined by the inverse cube root of the sample size as corollaries we obtain probabilistic bounds for the prediction error in a classification problem the key to the proof is an entropy estimate the lower bounds are based on bounds for general estimators which are applicable in other contexts as well furthermore we introduce a class of optimal estimators whose errors asymptotically meet the border permitted by the lower bounds | [['this', 'paper', 'is', 'concerned', 'with', 'estimating', 'the', 'intersection', 'point', 'of', 'two', 'densities', 'given', 'a', 'sample', 'of', 'both', 'of', 'the', 'densities', 'this', 'problem', 'arises', 'in', 'classification', 'theory', 'the', 'main', 'results', 'provide', 'lower', 'bounds', 'for', 'the', 'probability', 'of', 'the', 'estimation', 'errors', 'to', 'be', 'large', 'on', 'a', 'scale', 'determined', 'by', 'the', 'inverse', 'cube', 'root', 'of', 'the', 'sample', 'size', 'as', 'corollaries', 'we', 'obtain', 'probabilistic', 'bounds', 'for', 'the', 'prediction', 'error', 'in', 'a', 'classification', 'problem', 'the', 'key', 'to', 'the', 'proof', 'is', 'an', 'entropy', 'estimate', 'the', 'lower', 'bounds', 'are', 'based', 'on', 'bounds', 'for', 'general', 'estimators', 'which', 'are', 'applicable', 'in', 'other', 'contexts', 'as', 'well', 'furthermore', 'we', 'introduce', 'a', 'class', 'of', 'optimal', 'estimators', 'whose', 'errors', 'asymptotically', 'meet', 'the', 'border', 'permitted', 'by', 'the', 'lower', 'bounds']] | [-0.07890819953754544, 0.07503084627944348, -0.053645349814273095, 0.11710015218198785, -0.02758028713743324, -0.11328608803653523, 0.08156493629389645, 0.2927569215550371, -0.23768944507059844, -0.32945608301493134, 0.1944319870231835, -0.25004173797433793, -0.11181093116503452, 0.24950004029897568, -0.13070162489362386, 0.0832734980498967, 0.026375848245199607, 0.06780323447158519, -0.11679112933900045, -0.2618497770745307, 0.32399983637075386, 0.0532781267862605, 0.29685717825170443, 0.06926456947365532, 0.07679933271087382, -0.02997092501381817, -0.04754770806302195, 0.02877316606109557, -0.2065929223621345, 0.18856121243139648, 0.2652578127934881, 0.1308082205688824, 0.2803149171092588, -0.34029884935779314, -0.1645569906124602, 0.1350923740224022, 0.13098822688764852, 0.12251289986256186, -0.03484341604432658, -0.2514953387759464, 0.0972889025412176, -0.12367112267276516, -0.10878044784514476, -0.009850312502163908, -0.011570275679696351, 0.038158817775547506, -0.31131554889776136, 0.0830025229441083, 0.09102593464473181, 0.04396141132582789, -0.06422642106190324, -0.1702545316150898, 0.05157572540211613, 0.1355519149735894, 0.048705954380009485, -0.010525550531304401, 0.0888567367123197, -0.12159188453351026, -0.13000851935180632, 0.35322245007947733, -0.05904210062859499, -0.24166807945002802, 0.14265007484582778, -0.11962465568972022, -0.14211543456691764, 0.10708682067773265, 0.22196719701928289, 0.14520516726795746, -0.13082997322325474, 0.08763404725038487, -0.07716944761088361, 0.12244364674451114, 0.021495471416932085, 0.05409130903375942, 0.13443150410388152, 0.15950546802790916, 0.17150392662733793, 0.17275658215183523, -0.09723414167680818, -0.06611928442169143, -0.34589406663308975, -0.12712630317748888, -0.23222870395073425, -0.0012387097286789314, -0.14792347654457325, -0.19693755787169642, 0.3532100401494814, 0.1578975820792434, 0.23993060363699562, 0.17229719060047974, 0.296036837687311, 0.17508489426994778, 0.022710689149149085, 0.10592842642622798, 0.2171226462334111, 0.14775009779259562, -0.008676488976925611, -0.15561224126014048, 0.11426650647316938, 0.12542178422091124] |
712.0895 | A mean-field model for the electron glass dynamics | We study a microscopic mean-field model for the dynamics of the electron
glass, near a local equilibrium state. Phonon-induced tunneling processes are
responsible for generating transitions between localized electronic sites,
which eventually lead to the thermalization of the system. We find that the
decay of an excited state to a locally stable state is far from being
exponential in time, and does not have a characteristic time scale. Working in
a mean-field approximation, we write rate equations for the average occupation
numbers, and describe the return to the locally stable state using the
eigenvalues of a rate matrix, A, describing the linearized time-evolution of
the occupation numbers. Analyzing the probability distribution of the
eigenvalues of A we find that, under certain physically reasonable assumptions,
it takes the form $P(\lambda) \sim \frac{1}{|\lambda|}$, leading naturally to a
logarithmic decay in time. While our derivation of the matrix A is specific for
the chosen model, we expect that other glassy systems, with different
microscopic characteristics, will be described by random rate matrices
belonging to the same universality class of A. Namely, the rate matrix has
elements with a very broad distribution, i.e., exponentials of a variable with
nearly uniform distribution.
| cond-mat.dis-nn | we study a microscopic meanfield model for the dynamics of the electron glass near a local equilibrium state phononinduced tunneling processes are responsible for generating transitions between localized electronic sites which eventually lead to the thermalization of the system we find that the decay of an excited state to a locally stable state is far from being exponential in time and does not have a characteristic time scale working in a meanfield approximation we write rate equations for the average occupation numbers and describe the return to the locally stable state using the eigenvalues of a rate matrix a describing the linearized timeevolution of the occupation numbers analyzing the probability distribution of the eigenvalues of a we find that under certain physically reasonable assumptions it takes the form plambda sim frac1lambda leading naturally to a logarithmic decay in time while our derivation of the matrix a is specific for the chosen model we expect that other glassy systems with different microscopic characteristics will be described by random rate matrices belonging to the same universality class of a namely the rate matrix has elements with a very broad distribution ie exponentials of a variable with nearly uniform distribution | [['we', 'study', 'a', 'microscopic', 'meanfield', 'model', 'for', 'the', 'dynamics', 'of', 'the', 'electron', 'glass', 'near', 'a', 'local', 'equilibrium', 'state', 'phononinduced', 'tunneling', 'processes', 'are', 'responsible', 'for', 'generating', 'transitions', 'between', 'localized', 'electronic', 'sites', 'which', 'eventually', 'lead', 'to', 'the', 'thermalization', 'of', 'the', 'system', 'we', 'find', 'that', 'the', 'decay', 'of', 'an', 'excited', 'state', 'to', 'a', 'locally', 'stable', 'state', 'is', 'far', 'from', 'being', 'exponential', 'in', 'time', 'and', 'does', 'not', 'have', 'a', 'characteristic', 'time', 'scale', 'working', 'in', 'a', 'meanfield', 'approximation', 'we', 'write', 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'matrix', 'has', 'elements', 'with', 'a', 'very', 'broad', 'distribution', 'ie', 'exponentials', 'of', 'a', 'variable', 'with', 'nearly', 'uniform', 'distribution']] | [-0.13780064356565325, 0.18001753872156742, -0.1238789315350817, 0.07911524668851215, 0.009504448303357145, -0.12521763678124828, 0.0662620179096608, 0.3175422030809539, -0.2762197282893328, -0.23953362802920514, 0.07166194977406601, -0.2658511236827669, -0.08466190061186851, 0.14853124557828842, 0.04094606494297023, 0.04837267498632297, 0.028150358422881532, 0.06607533718676774, -0.09150366110817014, -0.1948115641752324, 0.3158414666139081, 0.05140698689797203, 0.27491645043394364, 0.00912740880352809, 0.08937551209710179, -0.015585487943643771, 0.060628854232038926, 0.004868889697898312, -0.11949146529218639, 0.06806594590462335, 0.21332477855136817, 0.08657877672307647, 0.26721015867072767, -0.42697943688067724, -0.18926827762238113, 0.12012609257717348, 0.12817663686151431, 0.13730520890555273, -0.040581977451078326, 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712.0896 | Quantum state decorrelation | We address the general problem of removing correlations from quantum states
while preserving local quantum information as much as possible. We provide a
complete solution in the case of two qubits, by evaluating the minimum amount
of noise that is necessary to decorrelate covariant sets of bipartite states.
We show that two harmonic oscillators in arbitrary Gaussian state can be
decorrelated by a Gaussian covariant map. Finally, for finite-dimensional
Hilbert spaces, we prove that states obtained from most cloning channels (e.g.,
universal and phase-covariant cloning) can be decorrelated only at the expense
of a complete erasure of information about the copied state. More generally, in
finite dimension, cloning without correlations is impossible for continuous
sets of states. On the contrary, for continuos variables cloning, a slight
modification of the customary set-up for cloning coherent states allows one to
obtain clones without correlations.
| quant-ph | we address the general problem of removing correlations from quantum states while preserving local quantum information as much as possible we provide a complete solution in the case of two qubits by evaluating the minimum amount of noise that is necessary to decorrelate covariant sets of bipartite states we show that two harmonic oscillators in arbitrary gaussian state can be decorrelated by a gaussian covariant map finally for finitedimensional hilbert spaces we prove that states obtained from most cloning channels eg universal and phasecovariant cloning can be decorrelated only at the expense of a complete erasure of information about the copied state more generally in finite dimension cloning without correlations is impossible for continuous sets of states on the contrary for continuos variables cloning a slight modification of the customary setup for cloning coherent states allows one to obtain clones without correlations | [['we', 'address', 'the', 'general', 'problem', 'of', 'removing', 'correlations', 'from', 'quantum', 'states', 'while', 'preserving', 'local', 'quantum', 'information', 'as', 'much', 'as', 'possible', 'we', 'provide', 'a', 'complete', 'solution', 'in', 'the', 'case', 'of', 'two', 'qubits', 'by', 'evaluating', 'the', 'minimum', 'amount', 'of', 'noise', 'that', 'is', 'necessary', 'to', 'decorrelate', 'covariant', 'sets', 'of', 'bipartite', 'states', 'we', 'show', 'that', 'two', 'harmonic', 'oscillators', 'in', 'arbitrary', 'gaussian', 'state', 'can', 'be', 'decorrelated', 'by', 'a', 'gaussian', 'covariant', 'map', 'finally', 'for', 'finitedimensional', 'hilbert', 'spaces', 'we', 'prove', 'that', 'states', 'obtained', 'from', 'most', 'cloning', 'channels', 'eg', 'universal', 'and', 'phasecovariant', 'cloning', 'can', 'be', 'decorrelated', 'only', 'at', 'the', 'expense', 'of', 'a', 'complete', 'erasure', 'of', 'information', 'about', 'the', 'copied', 'state', 'more', 'generally', 'in', 'finite', 'dimension', 'cloning', 'without', 'correlations', 'is', 'impossible', 'for', 'continuous', 'sets', 'of', 'states', 'on', 'the', 'contrary', 'for', 'continuos', 'variables', 'cloning', 'a', 'slight', 'modification', 'of', 'the', 'customary', 'setup', 'for', 'cloning', 'coherent', 'states', 'allows', 'one', 'to', 'obtain', 'clones', 'without', 'correlations']] | [-0.1271849339131043, 0.17107316992298083, -0.0899106251259505, 0.10652291393202638, -0.016672737089733422, -0.21994603986681346, 0.0845394420558849, 0.35498745440879287, -0.26872999568446865, -0.21598615005454966, 0.08493123044223774, -0.27138188495934024, -0.09184877765463324, 0.19732609655524433, -0.08761478804255193, 0.10636108125720671, 0.08686818917032699, 0.0757832882458977, -0.08180764856507254, -0.24697028233302415, 0.3758281896113825, 0.010440684787758534, 0.2869732746933128, 0.0027675501490667673, 0.11799184735995573, 0.06285056915842521, 0.009899950645286853, 0.011703007875836755, -0.06477161888831458, 0.07463307866152756, 0.2822590735511408, 0.1628327076651261, 0.2534410432571362, -0.42689946970679393, -0.22300126289450367, 0.1631259230866497, 0.10549237121531534, 0.2207762893390986, 0.008645923706866034, -0.3064376324674272, 0.04614549289575555, -0.15965507731733608, -0.08189878402553288, -0.15063815108096348, 0.01843249276739506, -0.078701147416518, -0.27205504360280824, 0.09909641929626675, 0.10133304293464188, 0.049271010255939524, -0.03069522407465011, -0.06733016770506854, -0.023670216118851284, 0.1247890360504192, -0.08545701967512953, 0.009826542657117923, 0.11121807888668345, -0.14190439757576187, -0.17932760789432944, 0.32558261989255133, -0.03314788685291743, -0.2522376382503737, 0.15339580017820814, -0.11426826034226573, -0.10310317575275688, 0.09639466532938917, 0.13090237601771687, 0.08425868822189546, -0.14293942643119625, 0.0594198758657333, -0.04583878541024218, 0.20485685593907682, 0.10397152983071939, 0.12278671651417848, 0.14339373483073334, 0.05699379983502374, 0.13503670010676372, 0.2157069392105512, -0.04068986302845075, -0.14577750667345932, -0.3295754198719498, -0.15708818612620234, -0.2256630923677708, 0.10348518193751888, -0.07977959992432504, -0.13042662854135875, 0.3865030837363341, 0.11715545102668612, 0.1980402805042309, 0.07366583487150115, 0.27617278916787513, 0.08202112202932664, 0.04703647937153427, 0.10776244772886726, 0.20535050809767072, 0.14846907979251267, 0.006857603370264488, -0.16975980097244323, 0.07668990672001956, 0.009363347207012415] |
712.0897 | Reactor Neutrino Experiments | Precisely measuring $\theta_{13}$ is one of the highest priority in neutrino
oscillation study. Reactor experiments can cleanly determine $\theta_{13}$.
Past reactor neutrino experiments are reviewed and status of next precision
$\theta_{13}$ experiments are presented. Daya Bay is designed to measure
$\sin^22\theta_{13}$ to better than 0.01 and Double Chooz and RENO are designed
to measure it to 0.02-0.03. All are heading to full operation in 2010. Recent
improvements in neutrino moment measurement are also briefed.
| hep-ex | precisely measuring theta_13 is one of the highest priority in neutrino oscillation study reactor experiments can cleanly determine theta_13 past reactor neutrino experiments are reviewed and status of next precision theta_13 experiments are presented daya bay is designed to measure sin22theta_13 to better than 001 and double chooz and reno are designed to measure it to 002003 all are heading to full operation in 2010 recent improvements in neutrino moment measurement are also briefed | [['precisely', 'measuring', 'theta_13', 'is', 'one', 'of', 'the', 'highest', 'priority', 'in', 'neutrino', 'oscillation', 'study', 'reactor', 'experiments', 'can', 'cleanly', 'determine', 'theta_13', 'past', 'reactor', 'neutrino', 'experiments', 'are', 'reviewed', 'and', 'status', 'of', 'next', 'precision', 'theta_13', 'experiments', 'are', 'presented', 'daya', 'bay', 'is', 'designed', 'to', 'measure', 'sin22theta_13', 'to', 'better', 'than', '001', 'and', 'double', 'chooz', 'and', 'reno', 'are', 'designed', 'to', 'measure', 'it', 'to', '002003', 'all', 'are', 'heading', 'to', 'full', 'operation', 'in', '2010', 'recent', 'improvements', 'in', 'neutrino', 'moment', 'measurement', 'are', 'also', 'briefed']] | [-0.07472876083999369, 0.2535245133991781, 0.02099088392522488, 0.11976794628866923, -0.10485484094258297, -0.18634461460484042, 0.08247987586592727, 0.3762988521641976, -0.22548081222418193, -0.32313307722073953, 0.12610178363880747, -0.3778185517199942, -0.04211400215186783, 0.2928734063044996, -0.0625743267403261, 0.15059364636151776, 0.1528487779558762, -0.029776521517920332, -0.1505290790007928, -0.2759932946111705, 0.18119497131556273, 0.19712527013522246, 0.2688305041677243, 0.07324380354131446, 0.05922679806983954, -0.1475156995820234, -0.08829477805694616, -0.08396479974475664, -0.12780036390884905, 7.187222709526887e-05, 0.29382298553261804, 0.15877467200059342, 0.07708674548445521, -0.341493467624123, -0.11061412061413599, 0.18591283421139107, 0.046072571220606366, 0.020925201812280796, -0.033062434490971467, -0.3378245968724022, 0.10226288072865557, -0.2471961476210807, -0.1255954884061892, -0.09183813148253672, -0.040017250189054256, -0.006141298543347197, -0.3387631850216437, 0.04881180936078906, -0.1311976985968146, 0.032929689346535784, 0.04244425639233275, -0.26662485100127553, 0.06289048586040735, 0.12280050478875637, 0.12474265531636775, 0.013856820255593472, 0.10424413259858517, -0.045716136448538384, -0.12455689341043802, 0.3657305475727126, -0.02269698433500142, -0.11085262215016661, 0.03510442470527581, -0.31332436342396447, -0.12904710797718852, 0.06462909826203375, 0.1417998132623128, -0.0005591824407708151, -0.21655022437256333, -0.008463522975452597, -0.1027929193113704, 0.14715197070728284, 0.12404605812028151, -0.07203198677381954, 0.25683777764238214, 0.3139937007548036, 0.19611463872118023, -0.1561841751901886, -0.20115801762487437, -0.03563447433486078, -0.288635554849296, -0.05945265004914757, -0.050311811784332666, 0.05175991811965768, 0.0276997297366285, -0.044434607784087594, 0.42427007259952054, 0.1422055059276219, 0.13957574088881547, -0.01879540177666255, 0.33977730856654614, -0.006975539230011605, 0.05647022050893488, -0.06186898948146483, 0.37102385124544035, 0.1786868901218514, 0.1623750363375891, -0.2406570669137747, 0.11504320649436449, 0.0400987556896399] |
712.0898 | Variance estimation in nonparametric regression via the difference
sequence method | Consider a Gaussian nonparametric regression problem having both an unknown
mean function and unknown variance function. This article presents a class of
difference-based kernel estimators for the variance function. Optimal
convergence rates that are uniform over broad functional classes and bandwidths
are fully characterized, and asymptotic normality is also established. We also
show that for suitable asymptotic formulations our estimators achieve the
minimax rate.
| math.ST stat.TH | consider a gaussian nonparametric regression problem having both an unknown mean function and unknown variance function this article presents a class of differencebased kernel estimators for the variance function optimal convergence rates that are uniform over broad functional classes and bandwidths are fully characterized and asymptotic normality is also established we also show that for suitable asymptotic formulations our estimators achieve the minimax rate | [['consider', 'a', 'gaussian', 'nonparametric', 'regression', 'problem', 'having', 'both', 'an', 'unknown', 'mean', 'function', 'and', 'unknown', 'variance', 'function', 'this', 'article', 'presents', 'a', 'class', 'of', 'differencebased', 'kernel', 'estimators', 'for', 'the', 'variance', 'function', 'optimal', 'convergence', 'rates', 'that', 'are', 'uniform', 'over', 'broad', 'functional', 'classes', 'and', 'bandwidths', 'are', 'fully', 'characterized', 'and', 'asymptotic', 'normality', 'is', 'also', 'established', 'we', 'also', 'show', 'that', 'for', 'suitable', 'asymptotic', 'formulations', 'our', 'estimators', 'achieve', 'the', 'minimax', 'rate']] | [-0.06684461659460794, 0.004028993493420785, -0.10330586426789523, 0.1516819515527459, -0.04452509830298368, -0.15309808963502292, 0.051258721705380594, 0.4517734800465405, -0.27963278599781916, -0.22305247049735044, 0.15244666542639607, -0.21000598407408688, -0.17948941174836364, 0.21271883085137233, -0.14268346285098232, 0.14325650581304217, 0.03145053736807313, -0.014581418450688943, -0.11779556264082203, -0.3163691677364113, 0.29198597301729023, 0.04531923311878927, 0.33030912207323126, -0.040630877376315766, 0.17150731084984727, 0.0180204349453561, -0.016992464366921922, 0.008904556598281488, -0.1991961019568862, 0.10506614574660489, 0.2838259211857803, 0.12222758869756944, 0.3906458596466109, -0.2689298501063604, -0.21732181262632366, 0.18163377983728424, 0.14948666919372045, 0.03853625908959657, -0.02587706717895344, -0.20678178132584435, 0.10441432642619475, -0.17707807672559284, -0.11104869712289656, -0.10879682835366111, -0.054213352588703856, 0.09462765383068472, -0.4176528776733903, 0.1658893707272, 0.05489220126764849, 0.07898705382103799, -0.06411161475261906, -0.18486998429580126, 0.0920201169756183, 0.057540349327609874, 0.10113980398637068, -0.026695554683101363, 0.08459221969678765, -0.10711745898515801, -0.06790954279131256, 0.18240116583183408, -0.08512438860270777, -0.26962319278936775, 0.1543061588454293, -0.1339719927200349, -0.11858864000532776, 0.10284964423044585, 0.20601828306098469, 0.1544680241131573, -0.2109655783715425, 0.12652227507805947, -0.04871154986904003, 0.10898897208971903, 0.023160182041465305, 0.0694146427558735, 0.09663257814827375, 0.12943035257194424, 0.17129759804083733, 0.1580778194766026, -0.08355620755901327, -0.07570793165359646, -0.3489524880424142, -0.11512303486961173, -0.2197332423820626, -0.02303229388417094, -0.18706864891942132, -0.24494519038125873, 0.3828241206356324, 0.12102632958703907, 0.15886564170068596, 0.24959703287458979, 0.25312192061392125, 0.19160537736206606, -0.04594872402958572, 0.1563322953224997, 0.19041987530363258, 0.166238703775889, -0.01243477071147936, -0.1626763292515534, 0.16735548657743493, 0.05571967945434153] |
712.0899 | Doppler imaging an X-ray flare on the ultrafast rotator BO Mic - A
contemporaneous multiwavelength study using XMM-Newton and VLT | We present an analysis of contemporaneous photospheric, chromospheric and
coronal structures on the highly active K-dwarf star BO Mic (Speedy Mic). We
localize a moderate flare in the stellar atmosphere and study its energetics,
size and thermal behaviour. The analysis is based on strictly simultaneous
X-ray, UV- and optical observations carried out by XMM-Newton and the VLT. We
use Doppler imaging and related methods for the localization of features. Based
on X-ray spectroscopy we study the the coronal plasma in and outside the flare.
The flare emits in X-rays and UV, but is not detected in white light; it is
located at intermediate latitude between an extended spot group and the weakly
spotted pole. We estimate its height below 0.4 stellar radii making it clearly
distinct in longitude and height from the prominences found about two stellar
radii above the surface. While BO Mic's photospheric brightness is modulated
due to extended starspots, neither the chromospheric nor the X-ray emission
show a pronounced rotational modulation.
| astro-ph | we present an analysis of contemporaneous photospheric chromospheric and coronal structures on the highly active kdwarf star bo mic speedy mic we localize a moderate flare in the stellar atmosphere and study its energetics size and thermal behaviour the analysis is based on strictly simultaneous xray uv and optical observations carried out by xmmnewton and the vlt we use doppler imaging and related methods for the localization of features based on xray spectroscopy we study the the coronal plasma in and outside the flare the flare emits in xrays and uv but is not detected in white light it is located at intermediate latitude between an extended spot group and the weakly spotted pole we estimate its height below 04 stellar radii making it clearly distinct in longitude and height from the prominences found about two stellar radii above the surface while bo mics photospheric brightness is modulated due to extended starspots neither the chromospheric nor the xray emission show a pronounced rotational modulation | [['we', 'present', 'an', 'analysis', 'of', 'contemporaneous', 'photospheric', 'chromospheric', 'and', 'coronal', 'structures', 'on', 'the', 'highly', 'active', 'kdwarf', 'star', 'bo', 'mic', 'speedy', 'mic', 'we', 'localize', 'a', 'moderate', 'flare', 'in', 'the', 'stellar', 'atmosphere', 'and', 'study', 'its', 'energetics', 'size', 'and', 'thermal', 'behaviour', 'the', 'analysis', 'is', 'based', 'on', 'strictly', 'simultaneous', 'xray', 'uv', 'and', 'optical', 'observations', 'carried', 'out', 'by', 'xmmnewton', 'and', 'the', 'vlt', 'we', 'use', 'doppler', 'imaging', 'and', 'related', 'methods', 'for', 'the', 'localization', 'of', 'features', 'based', 'on', 'xray', 'spectroscopy', 'we', 'study', 'the', 'the', 'coronal', 'plasma', 'in', 'and', 'outside', 'the', 'flare', 'the', 'flare', 'emits', 'in', 'xrays', 'and', 'uv', 'but', 'is', 'not', 'detected', 'in', 'white', 'light', 'it', 'is', 'located', 'at', 'intermediate', 'latitude', 'between', 'an', 'extended', 'spot', 'group', 'and', 'the', 'weakly', 'spotted', 'pole', 'we', 'estimate', 'its', 'height', 'below', '04', 'stellar', 'radii', 'making', 'it', 'clearly', 'distinct', 'in', 'longitude', 'and', 'height', 'from', 'the', 'prominences', 'found', 'about', 'two', 'stellar', 'radii', 'above', 'the', 'surface', 'while', 'bo', 'mics', 'photospheric', 'brightness', 'is', 'modulated', 'due', 'to', 'extended', 'starspots', 'neither', 'the', 'chromospheric', 'nor', 'the', 'xray', 'emission', 'show', 'a', 'pronounced', 'rotational', 'modulation']] | [-0.05228321062735986, 0.16645302335045262, -0.04896838902268649, 0.1448663080781244, -0.10151166217855928, -0.09875144687958243, 0.06857830299371172, 0.49277622084610345, -0.17838156143261585, -0.3373457712643757, 0.09972983520270734, -0.29500983435683314, -0.1029096620232605, 0.23295734908499913, -0.05071395704318292, -0.04100746703731668, 0.060902658095029635, -0.03574284801874367, -0.04122215991828409, -0.17677404110535708, 0.24832206207367297, 0.10073877905961126, 0.15429418345220478, 0.039633596409680096, 0.04345031798442417, -0.055744080835521764, -0.0921991430364958, -0.020247536790897934, -0.1135025251497587, 0.058902755640901444, 0.180557755389955, 0.0886095882430332, 0.1883249917027126, -0.37431705049125524, -0.25170349317216656, 0.002485186426627745, 0.15921270153371664, -0.0383236962047593, 0.0022368767900710425, -0.24912503790876986, 0.03366190014923809, -0.10718412680562767, -0.14355090304196916, 0.053889146273410536, 0.04264448685344399, 0.001759596177158173, -0.20901787188755938, 0.08413689591348307, 0.029364988874188317, 0.1766596059996362, -0.16248405448064526, -0.04333734322657309, -0.0819450576431913, 0.07537374419313515, 0.0405059157950213, 0.05737436634897277, 0.19393313921726785, -0.10145939200003518, -0.013355352018573663, 0.3425450361104506, -0.0857847250640256, 0.020010164563356695, 0.23859130941961734, -0.23791982808502438, -0.1486128255605652, 0.20255670114420354, 0.1283428614061871, 0.14391536552674797, -0.11239941473823131, -0.0007736705599931954, -0.01312188916873732, 0.2569177253984579, 0.08855134287065394, 0.03729323959886664, 0.33205274315323774, 0.09787710477305553, 0.05134860871839919, 0.12416946630152624, -0.33383707035611176, -0.019031121179734063, -0.22625841014264664, -0.058888154761672654, -0.11812721383928253, 0.03909633420769795, -0.08177691036618809, -0.18954359222538542, 0.39588919256121013, 0.13461429922750628, 0.1949272352134491, -0.01725602160185212, 0.3211959634918901, 0.10307370193896065, 0.0635119052348295, 0.17077358167266427, 0.32118484452253254, 0.20739354487372244, 0.1538842865223315, -0.2818580758857268, 0.05274927173173282, 0.03319750656444784] |
712.09 | Modeling the pressure Hessian and viscous Laplacian in Turbulence:
comparisons with DNS and implications on velocity gradient dynamics | Modeling the velocity gradient tensor A along Lagrangian trajectories in
turbulent flow requires closures for the pressure Hessian and viscous Laplacian
of A. Based on an Eulerian-Lagrangian change of variables and the so-called
Recent Fluid Deformation closure, such models were proposed recently. The
resulting stochastic model was shown to reproduce many geometric and anomalous
scaling properties of turbulence. In this work, direct comparisons between
model predictions and Direct Numerical Simulation (DNS) data are presented.
First, statistical properties of A are described using conditional averages of
strain skewness, enstrophy production, energy transfer and vorticity
alignments, conditioned upon invariants of A. These conditionally averaged
quantities are found to be described accurately by the stochastic model. More
detailed comparisons that focus directly on the terms being modeled in the
closures are also presented. Specifically, conditional statistics associated
with the pressure Hessian and the viscous Laplacian are measured from the model
and are compared with DNS. Good agreement is found in strain-dominated regions.
However, some features of the pressure Hessian linked to rotation dominated
regions are not reproduced accurately by the model. Geometric properties such
as vorticity alignment with respect to principal axes of the pressure Hessian
are mostly predicted well. In particular, the model predicts that an
eigenvector of the rate-of-strain will be also an eigenvector of the pressure
Hessian, in accord to basic properties of the Euler equations. The analysis
identifies under what conditions the Eulerian-Lagrangian change of variables
with the Recent Fluid Deformation closure works well, and in which flow regimes
it requires further improvements.
| physics.flu-dyn | modeling the velocity gradient tensor a along lagrangian trajectories in turbulent flow requires closures for the pressure hessian and viscous laplacian of a based on an eulerianlagrangian change of variables and the socalled recent fluid deformation closure such models were proposed recently the resulting stochastic model was shown to reproduce many geometric and anomalous scaling properties of turbulence in this work direct comparisons between model predictions and direct numerical simulation dns data are presented first statistical properties of a are described using conditional averages of strain skewness enstrophy production energy transfer and vorticity alignments conditioned upon invariants of a these conditionally averaged quantities are found to be described accurately by the stochastic model more detailed comparisons that focus directly on the terms being modeled in the closures are also presented specifically conditional statistics associated with the pressure hessian and the viscous laplacian are measured from the model and are compared with dns good agreement is found in straindominated regions however some features of the pressure hessian linked to rotation dominated regions are not reproduced accurately by the model geometric properties such as vorticity alignment with respect to principal axes of the pressure hessian are mostly predicted well in particular the model predicts that an eigenvector of the rateofstrain will be also an eigenvector of the pressure hessian in accord to basic properties of the euler equations the analysis identifies under what conditions the eulerianlagrangian change of variables with the recent fluid deformation closure works well and in which flow regimes it requires further improvements | [['modeling', 'the', 'velocity', 'gradient', 'tensor', 'a', 'along', 'lagrangian', 'trajectories', 'in', 'turbulent', 'flow', 'requires', 'closures', 'for', 'the', 'pressure', 'hessian', 'and', 'viscous', 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712.0901 | Iterative estimating equations: Linear convergence and asymptotic
properties | We propose an iterative estimating equations procedure for analysis of
longitudinal data. We show that, under very mild conditions, the probability
that the procedure converges at an exponential rate tends to one as the sample
size increases to infinity. Furthermore, we show that the limiting estimator is
consistent and asymptotically efficient, as expected. The method applies to
semiparametric regression models with unspecified covariances among the
observations. In the special case of linear models, the procedure reduces to
iterative reweighted least squares. Finite sample performance of the procedure
is studied by simulations, and compared with other methods. A numerical example
from a medical study is considered to illustrate the application of the method.
| math.ST stat.TH | we propose an iterative estimating equations procedure for analysis of longitudinal data we show that under very mild conditions the probability that the procedure converges at an exponential rate tends to one as the sample size increases to infinity furthermore we show that the limiting estimator is consistent and asymptotically efficient as expected the method applies to semiparametric regression models with unspecified covariances among the observations in the special case of linear models the procedure reduces to iterative reweighted least squares finite sample performance of the procedure is studied by simulations and compared with other methods a numerical example from a medical study is considered to illustrate the application of the method | [['we', 'propose', 'an', 'iterative', 'estimating', 'equations', 'procedure', 'for', 'analysis', 'of', 'longitudinal', 'data', 'we', 'show', 'that', 'under', 'very', 'mild', 'conditions', 'the', 'probability', 'that', 'the', 'procedure', 'converges', 'at', 'an', 'exponential', 'rate', 'tends', 'to', 'one', 'as', 'the', 'sample', 'size', 'increases', 'to', 'infinity', 'furthermore', 'we', 'show', 'that', 'the', 'limiting', 'estimator', 'is', 'consistent', 'and', 'asymptotically', 'efficient', 'as', 'expected', 'the', 'method', 'applies', 'to', 'semiparametric', 'regression', 'models', 'with', 'unspecified', 'covariances', 'among', 'the', 'observations', 'in', 'the', 'special', 'case', 'of', 'linear', 'models', 'the', 'procedure', 'reduces', 'to', 'iterative', 'reweighted', 'least', 'squares', 'finite', 'sample', 'performance', 'of', 'the', 'procedure', 'is', 'studied', 'by', 'simulations', 'and', 'compared', 'with', 'other', 'methods', 'a', 'numerical', 'example', 'from', 'a', 'medical', 'study', 'is', 'considered', 'to', 'illustrate', 'the', 'application', 'of', 'the', 'method']] | [-0.04361838153896055, 0.013972325452414225, -0.10823161984444596, 0.09067513539983858, -0.03962476854004698, -0.17033973425194354, 0.050014840838100226, 0.3999547144298309, -0.2305294279275196, -0.27606975690494956, 0.14774476464143455, -0.27772672833816614, -0.1672738231427502, 0.2162091564387083, -0.09252718024488006, 0.09230652088964623, 0.09514650482742582, 0.039671158767305315, -0.09834220685661421, -0.2901121503008263, 0.27010054055426735, 0.10839634879292655, 0.326595212981504, -0.04085443655588149, 0.13692330338225084, 0.006694094889098778, -0.05474122479790822, 0.04035881084356723, -0.12315797384085922, 0.05496946384248856, 0.25320857887481907, 0.14010307897530896, 0.34607782342936844, -0.3667977706452023, -0.17108551823600596, 0.10964822946282636, 0.16092230481860628, 0.12962770454552291, -0.015711079102142582, -0.19981422956334427, 0.11070332701534166, -0.15342766197863966, -0.1773444390273653, -0.09540769869844164, -0.06472647447143183, 0.019954389865493534, -0.3626576798934756, 0.10787108706842576, 0.06732821073715708, 0.004220944694160218, -0.06765079167754655, -0.14347576497155906, 0.010333033434497858, 0.048841108519159855, 0.1330257062966536, -0.013080625717910672, 0.09444186891362603, -0.09582837666883799, -0.09416535205673426, 0.32640763188412947, -0.09209802168022309, -0.21263072173626693, 0.18712519325864768, -0.08668158156381521, -0.12268780010890623, 0.12935904791499656, 0.20381590951417042, 0.1650907218905299, -0.1430958443919995, 0.07771137508825632, -0.0492605581447216, 0.1374334569139007, 0.009623979174648412, -0.04626009347183364, 0.08945355230493338, 0.17761544229870196, 0.12751997205279103, 0.1873778474904871, -0.1290264273494748, -0.06934888722441558, -0.31485137541312724, -0.10876273603311606, -0.19952103224516446, 0.001734523157730499, -0.15129153879882193, -0.17494257214379363, 0.34288096115259187, 0.19610886228870836, 0.19723962527184216, 0.12524946036449233, 0.3212595936867209, 0.15208262541688913, 0.03504070901128996, 0.09123732970244548, 0.17639102373920781, 0.14114271307438944, 0.012270557581879464, -0.24021251507136704, 0.08490228356095031, 0.06028116330604202] |
712.0902 | Orthogonal black di-ring solution | We construct a five dimensional exact solution of the orthogonal black
di-ring which has two black rings whose $S^1$-rotating planes are orthogonal.
This solution has four free parameters which represent radii of and speeds of
$S^1$-rotation of the black rings. We use the inverse scattering method. This
method needs the seed metric. We also present a systematic method how to
construct a seed metric. Using this method, we can probably construct other
solutions having many black rings on the two orthogonal planes with or without
a black hole at the center.
| hep-th gr-qc | we construct a five dimensional exact solution of the orthogonal black diring which has two black rings whose s1rotating planes are orthogonal this solution has four free parameters which represent radii of and speeds of s1rotation of the black rings we use the inverse scattering method this method needs the seed metric we also present a systematic method how to construct a seed metric using this method we can probably construct other solutions having many black rings on the two orthogonal planes with or without a black hole at the center | [['we', 'construct', 'a', 'five', 'dimensional', 'exact', 'solution', 'of', 'the', 'orthogonal', 'black', 'diring', 'which', 'has', 'two', 'black', 'rings', 'whose', 's1rotating', 'planes', 'are', 'orthogonal', 'this', 'solution', 'has', 'four', 'free', 'parameters', 'which', 'represent', 'radii', 'of', 'and', 'speeds', 'of', 's1rotation', 'of', 'the', 'black', 'rings', 'we', 'use', 'the', 'inverse', 'scattering', 'method', 'this', 'method', 'needs', 'the', 'seed', 'metric', 'we', 'also', 'present', 'a', 'systematic', 'method', 'how', 'to', 'construct', 'a', 'seed', 'metric', 'using', 'this', 'method', 'we', 'can', 'probably', 'construct', 'other', 'solutions', 'having', 'many', 'black', 'rings', 'on', 'the', 'two', 'orthogonal', 'planes', 'with', 'or', 'without', 'a', 'black', 'hole', 'at', 'the', 'center']] | [-0.15966226347825593, 0.03562439509874417, -0.1008617646060884, 0.05361921984003857, -0.07625183719727728, -0.14004468215732938, -0.0021287039504386484, 0.38701030489885146, -0.22172657522993783, -0.2663662847959333, 0.14185853546692265, -0.30107737824113834, -0.11335034835307549, 0.2004759507641817, -0.015765776102327638, 0.016234457813617258, 0.021841748462369043, 0.06015173426001436, -0.12405477489034335, -0.24692919492566337, 0.3859869753734933, 0.01603482119842536, 0.24518249492264457, -0.06395791877164608, 0.131273905105061, -0.016250738646421167, 0.00398203341756016, 0.06428706148225401, -0.1637174401484016, 0.16112958039674494, 0.22474768359162328, 0.1415163290945606, 0.22124451371944612, -0.3835768019987477, -0.16614879394570986, 0.10772117302856511, 0.16304134024410613, 0.1862263729252542, -0.1168054069285669, -0.1918164762538961, 0.10697177428131302, -0.2258330043301814, -0.17993975376917257, -0.04693399775876767, 0.014117723770646585, 0.006845036831994851, -0.2228211109422975, 0.04833520554335943, 0.06862097183863322, -0.04078868884179327, -0.10443195543355412, -0.057769140916773015, 0.013644159592998525, 0.09330044728445096, 0.06614892254066136, 0.0026637769252475765, 0.11233930013452967, -0.022879572164593912, -0.1530941646442645, 0.355981240566406, -0.027787243016064167, -0.24764640094298457, 0.20337684460812144, -0.17275056218366242, -0.08926798231485818, 0.12702433936129737, 0.17435198234161361, 0.22124289573273725, -0.1546452161959476, 0.1027402310909464, -0.065865725863518, 0.14462788430973889, 0.14081274303607644, 0.01938460221928027, 0.30286615504365827, 0.08348110274722179, 0.058271770628764194, 0.17352794801053179, -0.10119713916598509, -0.030523843401008183, -0.2545133164255983, -0.133756926344035, -0.11856207895196147, 0.09000342121451266, -0.15607781341386726, -0.22304799462565117, 0.39245113243038454, 0.11620413194501047, 0.20503940081430805, -0.006302619950535397, 0.27328238485174045, 0.07354589110861222, 0.08507664724149638, 0.09299825444921023, 0.2521752895011256, 0.10708861446215047, 0.0417141148665299, -0.1738277434371412, -0.05799790847943061, 0.15818483988340531] |
712.0903 | Neutrino Sector with Majorana Mass Terms and Friedberg-Lee Symmetry | We examine a recently proposed symmetry/condition by Friedberg and Lee in the
framework where three right-handed neutrinos are added to the spectrum of the
three-family Minimal Standard Model. It is found that the right-handed
neutrinos are very special, with respect to this symmetry. In the symmetry
limit the neutrinos are massless and that may be a hint about why they are
light. Imposed as a condition and not as a full symmetry, we find that one of
the three right-handed neutrinos simply decouples (has only gravitational
interactions) and that there is a massless interacting neutrino. The possible
relation of the model to the see-saw mechanism is briefly discussed.
| hep-ph | we examine a recently proposed symmetrycondition by friedberg and lee in the framework where three righthanded neutrinos are added to the spectrum of the threefamily minimal standard model it is found that the righthanded neutrinos are very special with respect to this symmetry in the symmetry limit the neutrinos are massless and that may be a hint about why they are light imposed as a condition and not as a full symmetry we find that one of the three righthanded neutrinos simply decouples has only gravitational interactions and that there is a massless interacting neutrino the possible relation of the model to the seesaw mechanism is briefly discussed | [['we', 'examine', 'a', 'recently', 'proposed', 'symmetrycondition', 'by', 'friedberg', 'and', 'lee', 'in', 'the', 'framework', 'where', 'three', 'righthanded', 'neutrinos', 'are', 'added', 'to', 'the', 'spectrum', 'of', 'the', 'threefamily', 'minimal', 'standard', 'model', 'it', 'is', 'found', 'that', 'the', 'righthanded', 'neutrinos', 'are', 'very', 'special', 'with', 'respect', 'to', 'this', 'symmetry', 'in', 'the', 'symmetry', 'limit', 'the', 'neutrinos', 'are', 'massless', 'and', 'that', 'may', 'be', 'a', 'hint', 'about', 'why', 'they', 'are', 'light', 'imposed', 'as', 'a', 'condition', 'and', 'not', 'as', 'a', 'full', 'symmetry', 'we', 'find', 'that', 'one', 'of', 'the', 'three', 'righthanded', 'neutrinos', 'simply', 'decouples', 'has', 'only', 'gravitational', 'interactions', 'and', 'that', 'there', 'is', 'a', 'massless', 'interacting', 'neutrino', 'the', 'possible', 'relation', 'of', 'the', 'model', 'to', 'the', 'seesaw', 'mechanism', 'is', 'briefly', 'discussed']] | [-0.1334101356104643, 0.2594349538367764, -0.047048895805312546, 0.18039791967728497, -0.11332904606204584, -0.19248844975187818, 0.006077207250642442, 0.3534967970564335, -0.21740911759993184, -0.28744693309184005, 0.08112791128169362, -0.30115786460489385, -0.12544000177931425, 0.12679774295451623, 0.0038859266744247665, -0.02344853904481246, 0.016166632211653986, 0.034054817466465666, -0.061533838855951296, -0.24228280624287707, 0.31764384092780473, 0.06184642765862502, 0.23049262195616682, 0.06810908014320324, 0.0999825691073158, -0.06581034626655072, -0.00833535763200059, -0.05497298527630829, -0.031481135977382085, 0.041419131910889716, 0.14342715249562235, 0.09923664833828111, 0.14641526480701483, -0.4075015112931762, -0.21830835440587776, 0.15099643814490638, 0.16452772414015832, 0.10833205435007254, -0.09796503144446934, -0.27608553858073515, 0.10795534010454316, -0.20015450786781785, -0.13956665307300808, -0.03394164224198767, -0.03752279733786377, -0.07975813279920649, -0.2724135463717872, 0.06403761996809289, 0.04602973941696164, -0.045354317142584616, -0.017227486014218182, -0.11568472109230182, -0.07174425682261865, 0.04375857883568192, 0.17927196250127403, -0.03295191436588207, 0.05695399953265648, -0.15314601635273162, -0.09839521802604964, 0.46948925733009234, -0.0708599823035265, -0.20138112755022317, 0.17334328308510027, -0.12896014529358701, -0.14835790982556957, 0.07673108288865954, 0.1000732807268467, 0.06276920183766285, -0.19347302266178984, 0.13633762960426649, -0.1438943437587853, 0.13673318612659088, 0.04484257194274497, 0.01260663374005077, 0.2716414082412408, 0.17269073539439625, 0.0572206239677339, 0.033462812748702817, -0.05298198146797786, -0.05598441660719723, -0.3875498898222903, -0.12390187887962316, -0.12665560563904382, 0.03676106665236114, -0.038711501354521366, -0.10755899141185751, 0.43473669195495473, 0.15598982647083107, 0.18670406928460034, 0.011906339645507597, 0.26517133195405806, 0.11434356996976709, 0.09823170518415554, 0.0546955828267698, 0.32826783715651553, 0.14719720547975293, 0.06489540878509249, -0.20322500706310861, -0.0220506658873338, 0.05725841876772171] |
712.0904 | On optimality of Bayesian testimation in the normal means problem | We consider a problem of recovering a high-dimensional vector $\mu$ observed
in white noise, where the unknown vector $\mu$ is assumed to be sparse. The
objective of the paper is to develop a Bayesian formalism which gives rise to a
family of $l_0$-type penalties. The penalties are associated with various
choices of the prior distributions $\pi_n(\cdot)$ on the number of nonzero
entries of $\mu$ and, hence, are easy to interpret. The resulting Bayesian
estimators lead to a general thresholding rule which accommodates many of the
known thresholding and model selection procedures as particular cases
corresponding to specific choices of $\pi_n(\cdot)$. Furthermore, they achieve
optimality in a rather general setting under very mild conditions on the prior.
We also specify the class of priors $\pi_n(\cdot)$ for which the resulting
estimator is adaptively optimal (in the minimax sense) for a wide range of
sparse sequences and consider several examples of such priors.
| math.ST stat.TH | we consider a problem of recovering a highdimensional vector mu observed in white noise where the unknown vector mu is assumed to be sparse the objective of the paper is to develop a bayesian formalism which gives rise to a family of l_0type penalties the penalties are associated with various choices of the prior distributions pi_ncdot on the number of nonzero entries of mu and hence are easy to interpret the resulting bayesian estimators lead to a general thresholding rule which accommodates many of the known thresholding and model selection procedures as particular cases corresponding to specific choices of pi_ncdot furthermore they achieve optimality in a rather general setting under very mild conditions on the prior we also specify the class of priors pi_ncdot for which the resulting estimator is adaptively optimal in the minimax sense for a wide range of sparse sequences and consider several examples of such priors | [['we', 'consider', 'a', 'problem', 'of', 'recovering', 'a', 'highdimensional', 'vector', 'mu', 'observed', 'in', 'white', 'noise', 'where', 'the', 'unknown', 'vector', 'mu', 'is', 'assumed', 'to', 'be', 'sparse', 'the', 'objective', 'of', 'the', 'paper', 'is', 'to', 'develop', 'a', 'bayesian', 'formalism', 'which', 'gives', 'rise', 'to', 'a', 'family', 'of', 'l_0type', 'penalties', 'the', 'penalties', 'are', 'associated', 'with', 'various', 'choices', 'of', 'the', 'prior', 'distributions', 'pi_ncdot', 'on', 'the', 'number', 'of', 'nonzero', 'entries', 'of', 'mu', 'and', 'hence', 'are', 'easy', 'to', 'interpret', 'the', 'resulting', 'bayesian', 'estimators', 'lead', 'to', 'a', 'general', 'thresholding', 'rule', 'which', 'accommodates', 'many', 'of', 'the', 'known', 'thresholding', 'and', 'model', 'selection', 'procedures', 'as', 'particular', 'cases', 'corresponding', 'to', 'specific', 'choices', 'of', 'pi_ncdot', 'furthermore', 'they', 'achieve', 'optimality', 'in', 'a', 'rather', 'general', 'setting', 'under', 'very', 'mild', 'conditions', 'on', 'the', 'prior', 'we', 'also', 'specify', 'the', 'class', 'of', 'priors', 'pi_ncdot', 'for', 'which', 'the', 'resulting', 'estimator', 'is', 'adaptively', 'optimal', 'in', 'the', 'minimax', 'sense', 'for', 'a', 'wide', 'range', 'of', 'sparse', 'sequences', 'and', 'consider', 'several', 'examples', 'of', 'such', 'priors']] | [-0.06335364150870966, 0.05705427439436442, -0.07737486091936195, 0.09488323692079234, -0.11035551251249776, -0.16494081794415544, 0.06577847705257044, 0.4027356734161809, -0.284483664765979, -0.2948051370561573, 0.14280496638083842, -0.18358671390482742, -0.16779032252703938, 0.1667640122550621, -0.13964487937585318, 0.08278706271026358, 0.04171395117273217, 0.05585923870273822, -0.10563989746268689, -0.26266015093811107, 0.32680509240060246, 0.046587618031920304, 0.2625236569735028, -0.04314657623743663, 0.13205820006152752, 0.0080901650249358, -0.034558959345914575, -0.0016283808164256539, -0.1348064685062249, 0.12081271783064351, 0.268427514436736, 0.14810188197462051, 0.32663700675541824, -0.31761591857136695, -0.207599106669776, 0.17186442447510616, 0.08827959853787, 0.07596786637187329, -0.0028214086450311362, -0.2410904237650485, 0.11193298826606682, -0.14800643333997235, -0.06985045160360684, -0.10692964192954886, -0.03459908251084962, 0.031721600087597064, -0.4263336201692188, 0.0686689954008454, 0.07445982717377628, -0.011033947326417937, -0.06281359087450793, -0.1595673221897884, 0.03436261166321526, 0.07225611492922693, 0.09606098331082863, -0.008504840046098618, 0.10076549995203046, -0.12243607841219578, -0.08427467198195498, 0.3667313887496657, -0.020445792296676327, -0.25997994100478095, 0.17967659500802574, -0.09636740343357693, -0.14719471406666623, 0.11483855823979981, 0.2115452913379909, 0.13619061028459828, -0.16955542623771716, 0.1034485824619445, -0.06343388147402129, 0.10096308708678456, 0.059087029579345564, 0.05327763843768895, 0.14659009341325535, 0.12157835183593275, 0.134688096279169, 0.14483892998498732, -0.09462911821628339, -0.08828280996468743, -0.33189252535375025, -0.08882127729096179, -0.1773505246566746, 0.007233353197299594, -0.12712630462387792, -0.23469237243169105, 0.3809010982013389, 0.15096082477121311, 0.2522770450231713, 0.10312924508533547, 0.23744772006476286, 0.11168585879487554, 0.028803405637115292, 0.04241875384390454, 0.17796645103172468, 0.1461863828972982, 0.04075643160824208, -0.14495296462832782, 0.10830962906697852, -0.00930569236535554] |
712.0905 | Two-band ferromagnetic Kondo-lattice model for local-moment half-metals | We introduce a two-band Kondo-lattice model to describe ferromagnetic
half-metals with local magnetic moments. In a model study, the electronic and
magnetic properties are presented by temperature dependent magnetization
curves, band-structures, spin polarizations and plasma frequencies. These are
obtained from numerically evaluated equations, based on the single-electron
Green functions. We show that the mutual influence between the itinerant
electrons and the local magnetic moments is responsible for several phase
transitions of the half-metals, namely first and second order magnetic phase
transitions, as well as half-metal to semiconductor and half-metal to semimetal
transitions.
| cond-mat.str-el | we introduce a twoband kondolattice model to describe ferromagnetic halfmetals with local magnetic moments in a model study the electronic and magnetic properties are presented by temperature dependent magnetization curves bandstructures spin polarizations and plasma frequencies these are obtained from numerically evaluated equations based on the singleelectron green functions we show that the mutual influence between the itinerant electrons and the local magnetic moments is responsible for several phase transitions of the halfmetals namely first and second order magnetic phase transitions as well as halfmetal to semiconductor and halfmetal to semimetal transitions | [['we', 'introduce', 'a', 'twoband', 'kondolattice', 'model', 'to', 'describe', 'ferromagnetic', 'halfmetals', 'with', 'local', 'magnetic', 'moments', 'in', 'a', 'model', 'study', 'the', 'electronic', 'and', 'magnetic', 'properties', 'are', 'presented', 'by', 'temperature', 'dependent', 'magnetization', 'curves', 'bandstructures', 'spin', 'polarizations', 'and', 'plasma', 'frequencies', 'these', 'are', 'obtained', 'from', 'numerically', 'evaluated', 'equations', 'based', 'on', 'the', 'singleelectron', 'green', 'functions', 'we', 'show', 'that', 'the', 'mutual', 'influence', 'between', 'the', 'itinerant', 'electrons', 'and', 'the', 'local', 'magnetic', 'moments', 'is', 'responsible', 'for', 'several', 'phase', 'transitions', 'of', 'the', 'halfmetals', 'namely', 'first', 'and', 'second', 'order', 'magnetic', 'phase', 'transitions', 'as', 'well', 'as', 'halfmetal', 'to', 'semiconductor', 'and', 'halfmetal', 'to', 'semimetal', 'transitions']] | [-0.17788671525245855, 0.21595091053851598, 0.0017088640825418026, 0.08644235333675802, -0.04653795940912855, -0.1268061259963914, 0.06856634108471157, 0.4248298062922676, -0.22994891080357457, -0.29307743287442817, -0.023036693598639787, -0.31369298121527484, -0.13412385749752107, 0.17741106662636055, 0.1253895961234103, 0.015142060755549566, -0.08485536508353266, -0.04552912295026624, -0.12217675702919698, -0.1650755734906694, 0.29418323470441543, -0.03489658872232489, 0.2939591899757152, 0.07067408074078191, 0.038026174082441015, -0.00043919695662739485, 0.17182517555319582, 0.04175698314793408, -0.14578644680857353, 0.02675116640191687, 0.24285613659404867, -0.11626586557679769, 0.14489052384464152, -0.47582180775782984, -0.16707665684794926, 0.011924980451231417, 0.08336352237054835, 0.1365879113639138, -0.06017377252979002, -0.3268261538292079, 0.03550138425729845, -0.12123900597267177, -0.09975939594037102, -0.18195614998188356, -0.031516374324185206, 0.07223442114596053, -0.2794834507892475, 0.11339233119202696, 0.05859521815031969, 0.09531028743873796, -0.12974816395486097, -0.13404020952546727, -0.10591060297978717, 0.0654435176041696, 0.059874036645456014, 0.03314731932376795, 0.1445718747968583, -0.0830207416324613, -0.15688433887376246, 0.3625070643712483, -0.06672899897397577, -0.09904805443796288, 0.13492702684395583, -0.21102899199088468, -0.08068577313046578, 0.12283327344946725, 0.13202706516882323, 0.12026614900273473, -0.17663320594305254, 0.06012994135697069, 0.04695760539186228, 0.1483412393287796, -0.01962267761068095, 0.09092433321917348, 0.2685758877930272, 0.15262813096785027, 0.007054461211816449, 0.18740872785818521, -0.1342317393408967, -0.07393897562692671, -0.21936678406579987, -0.16575249464696515, -0.24771996064911314, 0.03604895892330324, -0.04260902508315706, -0.20588340535355004, 0.45945466192358214, 0.16452489444054663, 0.16748486081664654, -0.06123891152927409, 0.2664604781944629, 0.13491472587465186, 0.004889634903520346, 0.060682697783467236, 0.24842101781952963, 0.22033511508387796, 0.12672075755013476, -0.28197364870024816, 0.057710917646308306, 0.07288282659188237] |
712.0906 | Rising Total Hadron-Hadron Cross Sections | A historical summary is made on the measurements concerning the rising total
hadron-hadron cross sections at high energies. The first part of this paper
concerns the total cross section measurements performed at the Brookhaven,
Serpukhov and Fermilab fixed target accelerators; then the measurements at the
CERN Intersecting Storage Rings (ISR), and at the CERN and at the Tevatron
Fermilab proton-antiproton colliders; finally the cosmic ray measurements at
even higher energies. A short discussion on Conclusions and Perspectives
follows.
| hep-ex | a historical summary is made on the measurements concerning the rising total hadronhadron cross sections at high energies the first part of this paper concerns the total cross section measurements performed at the brookhaven serpukhov and fermilab fixed target accelerators then the measurements at the cern intersecting storage rings isr and at the cern and at the tevatron fermilab protonantiproton colliders finally the cosmic ray measurements at even higher energies a short discussion on conclusions and perspectives follows | [['a', 'historical', 'summary', 'is', 'made', 'on', 'the', 'measurements', 'concerning', 'the', 'rising', 'total', 'hadronhadron', 'cross', 'sections', 'at', 'high', 'energies', 'the', 'first', 'part', 'of', 'this', 'paper', 'concerns', 'the', 'total', 'cross', 'section', 'measurements', 'performed', 'at', 'the', 'brookhaven', 'serpukhov', 'and', 'fermilab', 'fixed', 'target', 'accelerators', 'then', 'the', 'measurements', 'at', 'the', 'cern', 'intersecting', 'storage', 'rings', 'isr', 'and', 'at', 'the', 'cern', 'and', 'at', 'the', 'tevatron', 'fermilab', 'protonantiproton', 'colliders', 'finally', 'the', 'cosmic', 'ray', 'measurements', 'at', 'even', 'higher', 'energies', 'a', 'short', 'discussion', 'on', 'conclusions', 'and', 'perspectives', 'follows']] | [-0.05094102502334863, 0.19378749285943997, -0.10024482799837223, 0.10933178512809369, 0.004008269412084841, -0.10256782535893413, 0.0039408277042616065, 0.317048830481676, -0.19123821313946676, -0.2836660477810372, 0.03737188986717509, -0.4646106983224551, 0.12672658761193117, 0.21288510963607293, 0.07632125934096387, 0.09364437948590001, 0.16966402048292833, 0.013208854179351758, -0.06898876565257804, -0.27841036974225575, 0.26562446046274346, 0.260521297259495, 0.3175118637736887, 0.2156893223977815, 0.15508882506774405, 0.06794117600060044, -0.09112833481496917, -0.06884129694065987, -0.12680335308257967, 0.0941903058003682, 0.32596495604285824, 0.08493359225133482, 0.15332433915673158, -0.44060427189255374, -0.031207956158770964, 0.07825622047321537, 0.04827495349141268, 0.08404252449504267, -0.053468187109758265, -0.24245031530228564, 0.09117848981912129, -0.1871041976249753, -0.15247814656975558, 0.08986848353957519, 0.018782469491737012, -0.013642006993998224, -0.21147806581276923, -0.025358068100057352, -0.06989788813277698, 0.16108912040885442, -0.029590453521217197, -0.21078203920310792, -0.007873490267695907, -0.03282303385770856, 0.06806338394212966, 0.06682718374455969, 0.1761913828384609, -0.14188043784815818, -0.1758969873906328, 0.3288672085932026, -0.008646084118831473, -0.032500598269204296, 0.18189762548830074, -0.2669936642767145, -0.17081916965962124, 0.14454830361482424, 0.2862814479889587, 0.08424103702717008, -0.18404342126674378, 0.09531267045531422, 0.026302925914000623, 0.1112483947370679, 0.15857379282944095, -0.007297226956161933, 0.2367641017712557, 0.19607298928671157, 0.03208968217054812, 0.011832957872404503, -0.13523667231679726, 0.01263106432862771, -0.5172078496633241, -0.05930307816164807, -0.11006571954259506, 0.04393212189190821, 0.05830684430876341, 0.0010379157626093961, 0.36375939385153544, 0.05703615500496175, 0.273653018527115, 0.036585280850816235, 0.36557486911232656, 0.04808807149171256, 0.03886743595238584, 0.04855520031653727, 0.2773944093630864, 0.1193446340994575, 0.2523002191685522, -0.20906313890830064, 0.05399543639176931, 0.03529496523193442] |
712.0907 | A first-principles study of the electronic structure and stability of
Be(BH4)2 | Alanates and boranates are studied intensively because of their potential use
as hydrogen storage materials. In this paper we present a first-principles
study of the electronic structure and the energetics of beryllium boranate,
Be(BH4)2. From total energy calculations we show that - in contrast to the
other boranates and alanates - hydrogen desorption directly to the elements is
likely, and is at least competitive with desorption to the elemental hydride
(BeH2). The formation enthalpy of Be(BH4)2 is only -0.12 eV/H2 (at T=0K). This
low value can be rationalized by the participation of all atoms in the covalent
bonding, in contrast to the ionic bonding observed in other boranates. From
calculations of thermodynamic properties at finite temperature we estimate a
decomposition temperature of 162 K at a pressure of 1 bar.
| cond-mat.mtrl-sci | alanates and boranates are studied intensively because of their potential use as hydrogen storage materials in this paper we present a firstprinciples study of the electronic structure and the energetics of beryllium boranate bebh42 from total energy calculations we show that in contrast to the other boranates and alanates hydrogen desorption directly to the elements is likely and is at least competitive with desorption to the elemental hydride beh2 the formation enthalpy of bebh42 is only 012 evh2 at t0k this low value can be rationalized by the participation of all atoms in the covalent bonding in contrast to the ionic bonding observed in other boranates from calculations of thermodynamic properties at finite temperature we estimate a decomposition temperature of 162 k at a pressure of 1 bar | [['alanates', 'and', 'boranates', 'are', 'studied', 'intensively', 'because', 'of', 'their', 'potential', 'use', 'as', 'hydrogen', 'storage', 'materials', 'in', 'this', 'paper', 'we', 'present', 'a', 'firstprinciples', 'study', 'of', 'the', 'electronic', 'structure', 'and', 'the', 'energetics', 'of', 'beryllium', 'boranate', 'bebh42', 'from', 'total', 'energy', 'calculations', 'we', 'show', 'that', 'in', 'contrast', 'to', 'the', 'other', 'boranates', 'and', 'alanates', 'hydrogen', 'desorption', 'directly', 'to', 'the', 'elements', 'is', 'likely', 'and', 'is', 'at', 'least', 'competitive', 'with', 'desorption', 'to', 'the', 'elemental', 'hydride', 'beh2', 'the', 'formation', 'enthalpy', 'of', 'bebh42', 'is', 'only', '012', 'evh2', 'at', 't0k', 'this', 'low', 'value', 'can', 'be', 'rationalized', 'by', 'the', 'participation', 'of', 'all', 'atoms', 'in', 'the', 'covalent', 'bonding', 'in', 'contrast', 'to', 'the', 'ionic', 'bonding', 'observed', 'in', 'other', 'boranates', 'from', 'calculations', 'of', 'thermodynamic', 'properties', 'at', 'finite', 'temperature', 'we', 'estimate', 'a', 'decomposition', 'temperature', 'of', '162', 'k', 'at', 'a', 'pressure', 'of', '1', 'bar']] | [-0.06886105834692717, 0.15159264802373945, -0.04204746850207448, -0.009731100331060588, 0.03374797332030721, -0.0843057173974812, 0.0948241474730894, 0.39751368790864944, -0.2738053333237767, -0.2948146107569337, 0.017435301738791167, -0.33787471148371695, -0.07301665131608025, 0.10817578638717532, 0.0247963232845068, -0.019799062728881836, -0.0020290633775293825, -0.00014320053532719613, -0.09412399928923697, -0.20848120464198291, 0.2610731015354395, 0.10496914025396109, 0.2242809236869216, 0.1500971766691655, 0.013917904952540994, -0.07390477494336664, 0.05242891881987453, 0.026188899133354426, -0.18405142201698618, 0.12392243670299649, 0.27610488103330133, -0.007234539613127708, 0.21541432037902997, -0.4267147403806448, -0.20938373574614524, 0.05068553413823247, 0.09113243070617318, 0.1165636410266161, -0.048484183870255944, -0.16589430326595903, 0.09010956748574972, -0.15414908310212194, -0.10044041208550333, -0.052929770490154626, 0.023908714555203915, 0.0427419859552756, -0.22043804097780959, 0.09382228964567184, -0.02481121016666293, 0.0919052667793585, -0.14117181373760104, -0.1919765124246478, -0.10622504571080207, 0.05091263681277633, 0.012709577122703195, 0.021039977671578527, 0.1979959958307445, -0.09469565565884114, -0.04052964475378394, 0.44739932018518447, -0.08358992160856724, -0.05965855893678963, 0.23040970724076032, -0.17227333865314723, -0.14857114928588272, 0.18020612689480187, 0.10264776728767902, 0.10317536081187427, -0.15030113671021536, 0.06344694833480753, 0.004391265493584796, 0.17120852580666543, 0.08747182020172477, 0.04085164618119597, 0.18743879321333953, 0.1701823910130188, 0.022515558356419205, 0.10677908204495906, -0.10891712724044919, -0.03552249735407531, -0.2064396971836686, -0.2062848746702075, -0.20091739229205996, 0.059897379769012334, -0.057855687248986216, -0.1472976715413388, 0.3391485454365611, 0.11655588573589921, 0.18831202362477778, -0.03192620886303484, 0.25814241169393065, 0.07935791677143425, 0.04900230452977121, 0.036583303961902854, 0.256528946056962, 0.15910780202038585, 0.08255890099704266, -0.2841748244352639, 0.11863295301049948, 0.01900059897452593] |
712.0908 | Theory of Operation of Direct String Magnetic Gradiometer with
Proportional and Integral Feedback | A quantitative theory of operation of a novel device, namely Direct String
Magnetic Gradiometer (DSMG), is presented. The paper provides a detailed
analysis of DSMG basic functions and measured quantities, represented in terms
of physical parameters that are known either a priori or can be experimentally
determined. It leaves a reasonable degree of freedom to further investigate
some of the finer detail of this new instrument based on experimental results
coming both from the laboratory environment and from field trials. The analysis
also allows us to quantitatively evaluate the error budget for an optimised
DSMG.
| physics.ins-det physics.geo-ph | a quantitative theory of operation of a novel device namely direct string magnetic gradiometer dsmg is presented the paper provides a detailed analysis of dsmg basic functions and measured quantities represented in terms of physical parameters that are known either a priori or can be experimentally determined it leaves a reasonable degree of freedom to further investigate some of the finer detail of this new instrument based on experimental results coming both from the laboratory environment and from field trials the analysis also allows us to quantitatively evaluate the error budget for an optimised dsmg | [['a', 'quantitative', 'theory', 'of', 'operation', 'of', 'a', 'novel', 'device', 'namely', 'direct', 'string', 'magnetic', 'gradiometer', 'dsmg', 'is', 'presented', 'the', 'paper', 'provides', 'a', 'detailed', 'analysis', 'of', 'dsmg', 'basic', 'functions', 'and', 'measured', 'quantities', 'represented', 'in', 'terms', 'of', 'physical', 'parameters', 'that', 'are', 'known', 'either', 'a', 'priori', 'or', 'can', 'be', 'experimentally', 'determined', 'it', 'leaves', 'a', 'reasonable', 'degree', 'of', 'freedom', 'to', 'further', 'investigate', 'some', 'of', 'the', 'finer', 'detail', 'of', 'this', 'new', 'instrument', 'based', 'on', 'experimental', 'results', 'coming', 'both', 'from', 'the', 'laboratory', 'environment', 'and', 'from', 'field', 'trials', 'the', 'analysis', 'also', 'allows', 'us', 'to', 'quantitatively', 'evaluate', 'the', 'error', 'budget', 'for', 'an', 'optimised', 'dsmg']] | [-0.11593646159591643, 0.09261714526050797, -0.11528053525835276, 0.06445882937895428, -0.08027114554455406, -0.11037185571009392, 0.0715224613165973, 0.3482600807555412, -0.24130188737456737, -0.32287669701403693, 0.07753357727350177, -0.21560737463464888, -0.14089983292414168, 0.25419401481110404, -0.05964601866802887, 0.059016147716657114, 0.06453478954928486, 0.051034958547863524, -0.06757558750380811, -0.19370596363748374, 0.28733300836756825, 0.12368225840557563, 0.25082635339349507, 0.07580579982482288, 0.12063782743031257, -0.018043289176727595, -0.05404647682352286, 0.05442972208716367, -0.17147188915321174, 0.12747032300716168, 0.20459675879070632, 0.15035934981056734, 0.21860575678905375, -0.43252406623214484, -0.20074102233507132, 0.057300187203739035, 0.10881120525974486, 0.08572506384133656, -0.04080360344684634, -0.2682660022260327, 0.0785007725420751, -0.14978897350389928, -0.1219056863778908, -0.12573554423686706, -0.03230573761301409, 0.01457598514756874, -0.2812475351910842, 0.032111077252959246, -0.005894434260890672, 0.11151658295604744, -0.05556226839911879, -0.1227029912075714, 0.007484224178877316, 0.16153030712892744, 0.015610853433118839, 0.03911141366452763, 0.12874068056576346, -0.11199600279850482, -0.11665907672753459, 0.36646246844412467, -0.0398113252693101, -0.1928048180572468, 0.17537299249762375, -0.13382284124136756, -0.11930833410373644, 0.09298220885133272, 0.1723239471008511, 0.1144747638388684, -0.19603111957641026, 0.045411965627174235, -0.039282157605415896, 0.21401872136875202, 0.028402260587991852, 0.059345459462584634, 0.17682799422427228, 0.18109026089384173, 0.021937568211854483, 0.15651080275052473, -0.07671583353443757, -0.07020465952197188, -0.3504865752631112, -0.1484933640048104, -0.15154481610577358, 0.04273434130867061, -0.0751527798245661, -0.14161895107673972, 0.42927745433622283, 0.17007190353163568, 0.1783558152714058, 0.006537867533533197, 0.3215211386351209, 0.08355775072582458, 0.0366358323414859, -0.005836438667029142, 0.23744853655225598, 0.13446154538542032, 0.05994154503569007, -0.1912274648582465, 0.0661722516150851, 0.013114876863791754] |
712.0909 | Physics and Performance Evaluation Group | We summarize the objectives and results of the ``international scoping study
of a future neutrino factory and superbeam facility'' (ISS) physics working
group. Furthermore, we discuss how the ISS study should develop into a neutrino
factory design study (IDS-NF) from the point of view of physics and performance
evaluation.
| hep-ph hep-ex | we summarize the objectives and results of the international scoping study of a future neutrino factory and superbeam facility iss physics working group furthermore we discuss how the iss study should develop into a neutrino factory design study idsnf from the point of view of physics and performance evaluation | [['we', 'summarize', 'the', 'objectives', 'and', 'results', 'of', 'the', 'international', 'scoping', 'study', 'of', 'a', 'future', 'neutrino', 'factory', 'and', 'superbeam', 'facility', 'iss', 'physics', 'working', 'group', 'furthermore', 'we', 'discuss', 'how', 'the', 'iss', 'study', 'should', 'develop', 'into', 'a', 'neutrino', 'factory', 'design', 'study', 'idsnf', 'from', 'the', 'point', 'of', 'view', 'of', 'physics', 'and', 'performance', 'evaluation']] | [-0.09507937615319174, 0.14420781772089553, -0.11326755359008604, 0.11037029725100313, -0.10868842420833451, -0.13240122080457453, 0.10840978956192124, 0.3244846777192184, -0.22129479624635104, -0.3023565217415441, 0.1813016268567239, -0.2631643876119764, -0.13839448897206053, 0.2347454517243468, -0.006278035706099199, 0.015915685998541967, 0.13087593269895534, -0.044192858382451294, -0.10707875668090217, -0.21260177952294446, 0.27460739430876413, 0.18632237959120954, 0.2963563881966533, 0.05677018185355225, 0.08870839046276345, 0.013906655059794762, -0.10516012992177691, -0.03973000648678565, -0.12576587946683987, 0.08716051067624773, 0.30856786843161194, 0.24771392603917997, 0.2741979223590496, -0.38368641737164283, -0.11299467169945794, 0.10434016930794686, 0.021617384950573346, 0.002001505801264121, -0.12790920598698513, -0.32576317575817204, 0.020349286386163488, -0.21575502574215738, -0.19321486639923283, -0.01975350661057152, -0.09735130937770009, 0.04477290659477668, -0.2552657080244045, -0.12633969697493072, -0.05665351835965079, 0.05264187876458223, -0.06491759221772758, -0.17795381959223625, 0.08574021945954585, 0.13110483110863336, 0.07884192382156545, -0.023840393932840348, 0.13938562130099352, -0.17167796265828061, -0.2006727208820533, 0.4488969760737857, -0.03635133906476656, -0.0454696862939365, 0.15775837304488738, -0.21957171803378328, -0.16682929957133472, -0.005584517493844032, 0.3321295438800007, 0.014293997016336237, -0.21579780359277312, 0.11146805672645, -0.06520998044585695, 0.11630504274543622, -0.01623370464682123, 0.038205174044991026, 0.25243774319200646, 0.34657749759831596, 0.11181822524653101, 0.10269190597690034, -0.13780308992849016, -0.0220551925654314, -0.43168758099176446, -0.13903365390641348, -0.020174779758161426, 0.05467111554605012, 0.07178585717011461, -0.038044565148195444, 0.4810603599311138, 0.2151914103032679, 0.10568616200922704, -0.009617734621445249, 0.2677846709836502, -0.013988495101125873, -0.014727900384412127, -0.013341313532116462, 0.28554921901347685, 0.03604486293862669, 0.16729418565614187, -0.269130202062542, -0.043296528733050337, 0.10822517298428076] |
712.091 | A Lohner-type algorithm for control systems and ordinary differential
inclusions | We describe a Lohner-type algorithm for the computation of rigorous upper
bounds for reachable set for control systems, solutions of ordinary
differential inclusions and perturbations of ODEs.
| math.DS math.OC | we describe a lohnertype algorithm for the computation of rigorous upper bounds for reachable set for control systems solutions of ordinary differential inclusions and perturbations of odes | [['we', 'describe', 'a', 'lohnertype', 'algorithm', 'for', 'the', 'computation', 'of', 'rigorous', 'upper', 'bounds', 'for', 'reachable', 'set', 'for', 'control', 'systems', 'solutions', 'of', 'ordinary', 'differential', 'inclusions', 'and', 'perturbations', 'of', 'odes']] | [-0.2195682359429506, -0.003967804082024556, -0.07045296085282014, 0.08231759707156855, -0.04623923101462424, -0.13007314630354253, 0.08042499609291553, 0.22116028922251785, -0.27066828998235554, -0.3502140433455889, 0.1861476193432911, -0.3040741935838014, -0.12843100325419352, 0.28800262990765846, -0.03160345050967477, 0.21833146621401495, 0.0620706188134276, 0.01421114680572198, -0.082297104715298, -0.2555247682075088, 0.33773559351594973, -0.09712909606213753, 0.16657648805099037, -0.05497878438864763, 0.18441133462609008, -0.050132606303892456, -0.015619251232307691, 0.028817986711286582, -0.2107775046919974, 0.19029075193863648, 0.292210815099959, 0.1491610432903354, 0.22333177963558298, -0.4498892893584875, -0.10360557302975884, 0.10811775783076882, 0.1527250727925163, 0.18583637834168398, -0.045365833498250976, -0.28122671038055647, 0.11579456314659463, -0.13086070256451002, -0.18374916415016812, -0.14233036453907305, 0.09953464682285602, 0.058316824456247, -0.34773928872667825, 0.023285895120352507, 0.08959508737405905, 0.06442234313111, -0.1301041039853142, -0.08257721235545781, 0.03251049392677557, 0.06805063968595977, -0.07773023657500744, -0.1613209425435903, 0.10900241732955553, -0.1356551222359905, -0.14259103083839783, 0.3238739871348326, -0.08639807712573272, -0.2580026767144983, 0.12936426537971085, -0.07562852206711586, -0.1392016078417118, 0.1789367864660632, 0.2992994414749913, 0.1899185992526607, -0.18615293843098557, 0.145901468365292, -0.019871213401739415, 0.14042476922846758, 0.03598541486112831, 0.03961213586780314, 0.09357551789770906, 0.18894940414107764, 0.22598844168421167, 0.10972629942429754, 0.07900572518030038, -0.13957145229841655, -0.361912523324673, -0.18721356579604057, -0.08104426022439909, -0.023242486712451164, -0.09906657924819648, -0.2352228513515841, 0.33164599530685407, 0.11957343628343481, 0.14870554445168147, 0.17239098203404304, 0.285966345288146, 0.2228950438623612, -0.04011227971372696, 0.07586243888363242, 0.2508178985176178, 0.212655128338016, 0.06522173824935006, -0.1972110357063894, 0.07778602575238508, 0.16599208696816975] |
712.0911 | Implementation of an Optimised Cassegrain System for Radio Telescopes | We present the antenna design for a radio interferometer, the Arcminute
Microkelvin Imager, together with its beam pattern measurement. Our aim was to
develop a low-cost system with high aperture efficiency and low ground-spill
across the frequency range 12-18GHz. We use a modified cassegrain system
consisting of a commercially-available paraboloidal primary mirror with a
diameter of 3.7m, and a shaped secondary mirror. The secondary mirror is
oversized with respect to a ray-optics design and has a surface that is bent
towards the primary near its outer edge using a square term for the shaping.
The antennas are simple to manufacture and therefore their cost is low. The
design increased the antenna gain by approximately 10 per cent compared to a
normal Cassegrain system while still maintaining low contamination from
ground-spill and using a simple design for the horn.
| astro-ph | we present the antenna design for a radio interferometer the arcminute microkelvin imager together with its beam pattern measurement our aim was to develop a lowcost system with high aperture efficiency and low groundspill across the frequency range 1218ghz we use a modified cassegrain system consisting of a commerciallyavailable paraboloidal primary mirror with a diameter of 37m and a shaped secondary mirror the secondary mirror is oversized with respect to a rayoptics design and has a surface that is bent towards the primary near its outer edge using a square term for the shaping the antennas are simple to manufacture and therefore their cost is low the design increased the antenna gain by approximately 10 per cent compared to a normal cassegrain system while still maintaining low contamination from groundspill and using a simple design for the horn | [['we', 'present', 'the', 'antenna', 'design', 'for', 'a', 'radio', 'interferometer', 'the', 'arcminute', 'microkelvin', 'imager', 'together', 'with', 'its', 'beam', 'pattern', 'measurement', 'our', 'aim', 'was', 'to', 'develop', 'a', 'lowcost', 'system', 'with', 'high', 'aperture', 'efficiency', 'and', 'low', 'groundspill', 'across', 'the', 'frequency', 'range', '1218ghz', 'we', 'use', 'a', 'modified', 'cassegrain', 'system', 'consisting', 'of', 'a', 'commerciallyavailable', 'paraboloidal', 'primary', 'mirror', 'with', 'a', 'diameter', 'of', '37m', 'and', 'a', 'shaped', 'secondary', 'mirror', 'the', 'secondary', 'mirror', 'is', 'oversized', 'with', 'respect', 'to', 'a', 'rayoptics', 'design', 'and', 'has', 'a', 'surface', 'that', 'is', 'bent', 'towards', 'the', 'primary', 'near', 'its', 'outer', 'edge', 'using', 'a', 'square', 'term', 'for', 'the', 'shaping', 'the', 'antennas', 'are', 'simple', 'to', 'manufacture', 'and', 'therefore', 'their', 'cost', 'is', 'low', 'the', 'design', 'increased', 'the', 'antenna', 'gain', 'by', 'approximately', '10', 'per', 'cent', 'compared', 'to', 'a', 'normal', 'cassegrain', 'system', 'while', 'still', 'maintaining', 'low', 'contamination', 'from', 'groundspill', 'and', 'using', 'a', 'simple', 'design', 'for', 'the', 'horn']] | [-0.1546409857653392, 0.11211084224956316, -0.038505868148058654, -0.03283477849240794, -0.081564948471539, -0.1808519432976566, 0.038059503031480646, 0.42691537184571776, -0.2027560768717969, -0.36016969837946816, 0.1360668900595219, -0.27500941617483343, -0.11252429740572417, 0.20843900368307475, -0.08468575592243589, 0.01184682268563106, 0.059970173260404006, -0.017647616818754208, -0.06209984324156755, -0.15090089338245216, 0.2334362679031781, 0.2024872421114533, 0.2644851012879776, -0.0072221518304474925, 0.1688621975067589, -0.002656821970379463, 0.03070894614275959, -0.009047635987883917, -0.056230149006188626, 0.1323105053238881, 0.2199141779811018, 0.08100384057809909, 0.2448591612762323, -0.38162183936823296, -0.16813864365771966, 0.024887659645604868, 0.11167856452952105, 0.05186573888037216, -0.08024190133954916, -0.21821564718115108, 0.1289225258760982, -0.18587383006319955, -0.17627624036330317, 0.058377920096326204, -0.041562759141541186, 0.04668244849157485, -0.2601636629379182, -0.04500716328620911, -0.013040314111168738, 0.07579557366013803, -0.025446676747459505, -0.13813564122085356, -0.013586646806517685, 0.11562493326556351, -0.06493686473652445, 0.06651246957480908, 0.13046265592242384, -0.1084112311747891, -0.019562882588555416, 0.3845838653199651, -0.03928017329459113, -0.16004100281883168, 0.17290085467199484, -0.16352825880533567, -0.05645517929698582, 0.1843094543312435, 0.2160040867963323, 0.08370572699371863, -0.12147837452670232, -0.0007325558058693315, 0.031826560764952945, 0.24572298808230295, 0.1053694994982194, 0.040375977537284294, 0.27646007455747434, 0.23161900145243164, 0.10972655853860218, 0.1980678725021857, -0.20142404239417777, -0.004554790451570793, -0.2418671895465296, -0.1257405010983348, -0.15687835071886957, 0.01676458957674051, -0.07350158009072334, -0.10927398049238103, 0.3807678291160199, 0.04902385677452441, 0.15496032288366998, 0.07961424181595686, 0.3906592569141476, 0.07411840722758185, 0.12449186213004092, 0.0368740627611125, 0.2575086914140869, 0.14257343285372137, 0.12277643192662961, -0.2308715487399173, -0.019012918237044856, -0.03898729917903741] |
712.0912 | Empirical regularities of order placement in the Chinese stock market | Using ultra-high-frequency data extracted from the order flows of 23 stocks
traded on the Shenzhen Stock Exchange, we study the empirical regularities of
order placement in the opening call auction, cool period and continuous
auction. The distributions of relative logarithmic prices against reference
prices in the three time periods are qualitatively the same with quantitative
discrepancies. The order placement behavior is asymmetric between buyers and
sellers and between the inside-the-book orders and outside-the-book orders. In
addition, the conditional distributions of relative prices in the continuous
auction are independent of the bid-ask spread and volatility. These findings
are crucial to build an empirical behavioral microscopic model based on order
flows for Chinese stocks.
| q-fin.TR physics.soc-ph | using ultrahighfrequency data extracted from the order flows of 23 stocks traded on the shenzhen stock exchange we study the empirical regularities of order placement in the opening call auction cool period and continuous auction the distributions of relative logarithmic prices against reference prices in the three time periods are qualitatively the same with quantitative discrepancies the order placement behavior is asymmetric between buyers and sellers and between the insidethebook orders and outsidethebook orders in addition the conditional distributions of relative prices in the continuous auction are independent of the bidask spread and volatility these findings are crucial to build an empirical behavioral microscopic model based on order flows for chinese stocks | [['using', 'ultrahighfrequency', 'data', 'extracted', 'from', 'the', 'order', 'flows', 'of', '23', 'stocks', 'traded', 'on', 'the', 'shenzhen', 'stock', 'exchange', 'we', 'study', 'the', 'empirical', 'regularities', 'of', 'order', 'placement', 'in', 'the', 'opening', 'call', 'auction', 'cool', 'period', 'and', 'continuous', 'auction', 'the', 'distributions', 'of', 'relative', 'logarithmic', 'prices', 'against', 'reference', 'prices', 'in', 'the', 'three', 'time', 'periods', 'are', 'qualitatively', 'the', 'same', 'with', 'quantitative', 'discrepancies', 'the', 'order', 'placement', 'behavior', 'is', 'asymmetric', 'between', 'buyers', 'and', 'sellers', 'and', 'between', 'the', 'insidethebook', 'orders', 'and', 'outsidethebook', 'orders', 'in', 'addition', 'the', 'conditional', 'distributions', 'of', 'relative', 'prices', 'in', 'the', 'continuous', 'auction', 'are', 'independent', 'of', 'the', 'bidask', 'spread', 'and', 'volatility', 'these', 'findings', 'are', 'crucial', 'to', 'build', 'an', 'empirical', 'behavioral', 'microscopic', 'model', 'based', 'on', 'order', 'flows', 'for', 'chinese', 'stocks']] | [-0.09957730285823345, 0.09621701534871879, -0.11972663042728196, 0.15539515187477015, -0.048928728996014054, -0.07439639975147491, 0.14644206567715048, 0.44634426408870653, -0.283007778364911, -0.3012381645935503, 0.11861076023514298, -0.36212424895096446, -0.08630034746602178, 0.1710268947422843, -0.07626025333831256, 0.023020474021111362, -0.019160760240629314, -0.021046094710684634, 0.0270826997066086, -0.31412349202754825, 0.29060928160324695, 0.029850235107270154, 0.3323582683181898, 0.005788414070213383, 0.08708059152863412, -0.0032945969586514615, -0.06751495905098802, -0.030394356562332674, -0.16402552303519438, 0.18980248642408035, 0.2634794511726465, 0.02020915556025681, 0.27794037329625676, -0.4279337610202757, -0.10181318070231514, 0.11059327373196455, 0.03654662424603223, -0.009036699166013436, 0.04360962092918767, -0.23400368889455092, -0.002996403287926858, -0.2515672963112593, -0.04899099861054724, -0.09332282305165956, 0.024114910868758506, 0.09834679394843988, -0.3189670009755487, 0.07813901401452975, -0.007153702767920384, 0.08721869316994509, -0.08438599803061649, -0.11910000729628585, -0.05631236304021017, 0.20488629385151647, 0.16904467723268846, -0.08288314306727526, 0.11728101962415333, -0.10314805019138888, -0.2181505754420703, 0.3882397507571361, -0.082648767916147, -0.11352173207454722, 0.10464948387181555, -0.1585819592625326, -0.0739573649448258, 0.11019085376227106, 0.20488420247354291, 0.02451468729414046, -0.15630408624525774, 0.0034965117012192917, -0.06857088577235118, 0.215018635192378, 0.09134556015699424, -0.013756885811347853, 0.19099954312921247, 0.1576492857865312, 0.0864343127172271, 0.09371658025986769, -0.09645280057395046, -0.24103346841240472, -0.26829027513211423, -0.09898931340907108, -0.1312202597248622, 0.026692673504691233, -0.20973592524096601, -0.12894695253873414, 0.40472501922472887, 0.15543368202792904, 0.16054314059544017, 0.09116963326655836, 0.24918953639836136, 0.0991780169731514, -0.008644159731259357, 0.11677272625013509, 0.16497596738944678, -0.00709541193632917, 0.16711726205169478, -0.17479231782807883, 0.21838737189431082, 0.02079831160054627] |
712.0913 | The radial structure of protostellar accretion disks: influence of jets | The radial structure of accretion disks is a fundamental issue regarding star
and planet formation. Many theoretical studies, focussing on different aspects
such as e.g. disk emissivity or ionization, have been conducted in the context
of the Standard Accretion Disk (SAD) model, where no jet is present. We wish to
calculate the structure of YSO accretion disks in an approach that takes into
account the presence of the protostellar jets. The radial structure of these
Jet Emitting Disks (JED) should then be compared to that of standard accretion
disks. The analytical treatment used in this work is very similar to that of
standard accretion disks but is using the parameter space of Magnetised
Accretion-Ejection Structures that include the jet torque on the underlying
disk. In this framework, the analytical expressions of key quantities, such as
mid-plane temperatures, surface densities or disk aspect ratio are derived. It
is found that JEDs present a structure very different from the SADs and that
can be observationally tested. The implications on planet formation in the
inner regions of accretion disks are briefly discussed. We also supply sets of
analytical formulae, valid in different opacity regimes, for the disk
quantities. These expressions can be readily used for any work where the disk
structure is needed as an input for the model.
| astro-ph | the radial structure of accretion disks is a fundamental issue regarding star and planet formation many theoretical studies focussing on different aspects such as eg disk emissivity or ionization have been conducted in the context of the standard accretion disk sad model where no jet is present we wish to calculate the structure of yso accretion disks in an approach that takes into account the presence of the protostellar jets the radial structure of these jet emitting disks jed should then be compared to that of standard accretion disks the analytical treatment used in this work is very similar to that of standard accretion disks but is using the parameter space of magnetised accretionejection structures that include the jet torque on the underlying disk in this framework the analytical expressions of key quantities such as midplane temperatures surface densities or disk aspect ratio are derived it is found that jeds present a structure very different from the sads and that can be observationally tested the implications on planet formation in the inner regions of accretion disks are briefly discussed we also supply sets of analytical formulae valid in different opacity regimes for the disk quantities these expressions can be readily used for any work where the disk structure is needed as an input for the model | [['the', 'radial', 'structure', 'of', 'accretion', 'disks', 'is', 'a', 'fundamental', 'issue', 'regarding', 'star', 'and', 'planet', 'formation', 'many', 'theoretical', 'studies', 'focussing', 'on', 'different', 'aspects', 'such', 'as', 'eg', 'disk', 'emissivity', 'or', 'ionization', 'have', 'been', 'conducted', 'in', 'the', 'context', 'of', 'the', 'standard', 'accretion', 'disk', 'sad', 'model', 'where', 'no', 'jet', 'is', 'present', 'we', 'wish', 'to', 'calculate', 'the', 'structure', 'of', 'yso', 'accretion', 'disks', 'in', 'an', 'approach', 'that', 'takes', 'into', 'account', 'the', 'presence', 'of', 'the', 'protostellar', 'jets', 'the', 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'discussed', 'we', 'also', 'supply', 'sets', 'of', 'analytical', 'formulae', 'valid', 'in', 'different', 'opacity', 'regimes', 'for', 'the', 'disk', 'quantities', 'these', 'expressions', 'can', 'be', 'readily', 'used', 'for', 'any', 'work', 'where', 'the', 'disk', 'structure', 'is', 'needed', 'as', 'an', 'input', 'for', 'the', 'model']] | [-0.06808475716604369, 0.08737030593413321, -0.0831677866021723, 0.11610177380821875, -0.09406866815320596, -0.06108746282687342, -0.032923913653508795, 0.4085043515596125, -0.20563093977721614, -0.29480757762859056, 0.1071064554756352, -0.198888336972299, -0.07277003662548615, 0.2216863124997838, -0.03259051908281873, 0.038482259413555125, 0.028578659478592238, -0.07829665999856338, -0.031103607562491326, -0.20800044370224458, 0.3491302234534588, 0.07649792144527762, 0.14054001723868875, 0.03291261660719842, 0.02215262937695823, -0.11761604399416009, -0.03149975985461087, 0.022156280795132734, -0.2205879740401239, 0.06726371476004177, 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712.0914 | Contraction semigroups on metric graphs | The main objective of the present work is to study contraction semigroups
generated by Laplace operators on metric graphs, which are not necessarily
self-adjoint. We prove criteria for such semigroups to be continuity and
positivity preserving. Also we provide a characterization of generators of
Feller semigroups on metric graphs.
| math.FA math-ph math.MP | the main objective of the present work is to study contraction semigroups generated by laplace operators on metric graphs which are not necessarily selfadjoint we prove criteria for such semigroups to be continuity and positivity preserving also we provide a characterization of generators of feller semigroups on metric graphs | [['the', 'main', 'objective', 'of', 'the', 'present', 'work', 'is', 'to', 'study', 'contraction', 'semigroups', 'generated', 'by', 'laplace', 'operators', 'on', 'metric', 'graphs', 'which', 'are', 'not', 'necessarily', 'selfadjoint', 'we', 'prove', 'criteria', 'for', 'such', 'semigroups', 'to', 'be', 'continuity', 'and', 'positivity', 'preserving', 'also', 'we', 'provide', 'a', 'characterization', 'of', 'generators', 'of', 'feller', 'semigroups', 'on', 'metric', 'graphs']] | [-0.08744212859595309, 0.07535204153545962, -0.060588533819025875, 0.12226402175337152, -0.13496836678277016, -0.06927711356013101, -0.008609383789898485, 0.4468854250652449, -0.28401360629430533, -0.1720891174841292, 0.1841624537102726, -0.3254233704005577, -0.1306188106726931, 0.2096221279923101, -0.15199077601677605, 0.10033410574708666, 0.09321946719167185, 0.03875188634562192, -0.10261600184235342, -0.22169877367084656, 0.4617951333484783, 0.01905598789833638, 0.19257535222841768, 0.1363001866836329, 0.10534550533487405, -0.050767735977258, -0.07835981936897246, -0.015072256188877687, -0.18468773633013574, 0.10082171965694549, 0.2503570565141319, 0.16894958749394484, 0.2469188483165843, -0.385510385606666, -0.1730890113442224, 0.24303541257407288, 0.0559600522760682, -0.0077256945897920095, -0.04189908493794881, -0.3304881791071016, 0.13373544201140805, -0.10418931096412089, -0.08692265473952403, -0.16448309340951395, 0.0026068760044112497, 0.059675065567716956, -0.29244058162011966, 0.006038611739926154, 0.23100127298765036, 0.09964314156344958, -0.05340807998020734, -0.02397256135484394, -0.03279728200096561, 0.07708528192181673, -0.005775976075543737, -0.04892285723638322, 0.09142063579959225, 0.003926454929216784, -0.16224073704180061, 0.34223433576372203, -0.026550689103956124, -0.2714665269821274, 0.12885262538222786, -0.18366350964357964, -0.17121511172237142, 0.051128380048107734, 0.1547145566389877, 0.19251384061514115, -0.1834873188553112, 0.15249219307633194, -0.06295190147618401, 0.058370919660570064, 0.07316133249741123, 0.0788830169001404, 0.05514678338362018, 0.0776913067401976, 0.20073068400426786, 0.18915114694094398, 0.17954516805214238, -0.053530829426433356, -0.3920337756981655, -0.17921340475048947, -0.18574788529729966, 0.11023293164284301, -0.12211034629388227, -0.2681492400944841, 0.4157966359741796, 0.15148472052295597, 0.15178698768877252, 0.16329229112039795, 0.18129940878371803, 0.15005610755891824, 0.04025602291927053, 0.10019864986783691, 0.1282104048307757, 0.24176876089649693, 0.01940247923972047, -0.13845978539475068, 0.06680930465725916, 0.2628603766919399] |
712.0915 | Differentiability of the volume of a region enclosed by level sets | The level of a function f on an n-dimensional space encloses a region. The
volume of a region between two such levels depends on both levels. Fixing one
of them the volume becomes a function of the remaining level. We show that if
the function f is smooth, the volume function is again smooth for regular
values of f. For critical values of f the volume function is only finitely
differentiable. The initial motivation for this study comes from Radiotherapy,
where such volume functions are used in an optimization process. Thus their
differentiability properties become important.
| math.CA | the level of a function f on an ndimensional space encloses a region the volume of a region between two such levels depends on both levels fixing one of them the volume becomes a function of the remaining level we show that if the function f is smooth the volume function is again smooth for regular values of f for critical values of f the volume function is only finitely differentiable the initial motivation for this study comes from radiotherapy where such volume functions are used in an optimization process thus their differentiability properties become important | [['the', 'level', 'of', 'a', 'function', 'f', 'on', 'an', 'ndimensional', 'space', 'encloses', 'a', 'region', 'the', 'volume', 'of', 'a', 'region', 'between', 'two', 'such', 'levels', 'depends', 'on', 'both', 'levels', 'fixing', 'one', 'of', 'them', 'the', 'volume', 'becomes', 'a', 'function', 'of', 'the', 'remaining', 'level', 'we', 'show', 'that', 'if', 'the', 'function', 'f', 'is', 'smooth', 'the', 'volume', 'function', 'is', 'again', 'smooth', 'for', 'regular', 'values', 'of', 'f', 'for', 'critical', 'values', 'of', 'f', 'the', 'volume', 'function', 'is', 'only', 'finitely', 'differentiable', 'the', 'initial', 'motivation', 'for', 'this', 'study', 'comes', 'from', 'radiotherapy', 'where', 'such', 'volume', 'functions', 'are', 'used', 'in', 'an', 'optimization', 'process', 'thus', 'their', 'differentiability', 'properties', 'become', 'important']] | [-0.14141929334922074, 0.09158335575951544, -0.05924322237842716, 0.06333714190086918, -0.0067393156787147745, -0.0499637900890472, 0.03312736218019078, 0.350919372557352, -0.28615964293324697, -0.23692259676560448, 0.09765082861000944, -0.28002975245787337, -0.1264182474599996, 0.22499276738381013, -0.06312991064199498, 0.02301757692263588, 0.010330174894382557, 0.08265317173209041, -0.09443078500771662, -0.2471220830339007, 0.3809595548858245, -0.005992397074199592, 0.24621377604974745, 0.09138709409550454, 0.13622480309762372, 0.01910264148803738, 0.030054948569159023, 0.0213174658999075, -0.12734008036485042, 0.0898685857731228, 0.22047842846950516, 0.13607806455547689, 0.35387193430021097, -0.3489248220381948, -0.1872529089693368, 0.1643571563375493, 0.08000952807681945, 0.01830898645372751, -0.022809326253385127, -0.20628996210871264, 0.08875767179415561, -0.09664384023199091, -0.1502273921020484, -0.025662967391933005, 0.0712106415934007, 0.03687352158158319, -0.299419470752279, 0.058482580207055435, 0.02088152467816447, 0.04744173042126931, -0.07547906217223499, -0.13163321324585317, -0.07569959706355196, 0.1566042480408214, 0.021272888831238863, 0.12276831742747163, 0.1593712037865771, -0.16913967003589883, 0.019660589003857847, 0.33473015461155836, -0.023868997658913333, -0.27665795636130497, 0.1669902479479788, -0.18521016378266117, -0.10703192642540671, 0.1582611005336124, 0.14530670956204025, 0.1623075776102875, -0.09091309941140935, 0.17297899999539368, -0.021593767271648783, 0.19683856726624072, 0.03528594640374649, -0.011681757687862651, 0.19094441205622084, 0.14838674844941124, 0.13763677454941595, 0.16141433766642876, -0.048535296909600824, -0.0574054841005515, -0.37582416911997524, -0.1796027819509618, -0.1906104350394647, 0.0511488102953687, -0.09438425978199423, -0.23439201334986137, 0.37118179545601987, 0.04658787610605941, 0.25709280292115483, 0.06599226899561472, 0.2870134684878091, 0.1754847165478471, 0.05920804787941355, 0.05188096862305732, 0.16968983495219922, 0.06031655942448803, 0.006934255458569775, -0.1532839191131643, 0.07544054663837112, 0.09398098942134918] |
712.0916 | Finite de Finetti theorem for conditional probability distributions
describing physical theories | We work in a general framework where the state of a physical system is
defined by its behaviour under measurement and the global state is constrained
by no-signalling conditions. We show that the marginals of symmetric states in
such theories can be approximated by convex combinations of independent and
identical conditional probability distributions, generalizing the classical
finite de Finetti theorem of Diaconis and Freedman. Our results apply to
correlations obtained from quantum states even when there is no bound on the
local dimension, so that known quantum de Finetti theorems cannot be used.
| quant-ph | we work in a general framework where the state of a physical system is defined by its behaviour under measurement and the global state is constrained by nosignalling conditions we show that the marginals of symmetric states in such theories can be approximated by convex combinations of independent and identical conditional probability distributions generalizing the classical finite de finetti theorem of diaconis and freedman our results apply to correlations obtained from quantum states even when there is no bound on the local dimension so that known quantum de finetti theorems cannot be used | [['we', 'work', 'in', 'a', 'general', 'framework', 'where', 'the', 'state', 'of', 'a', 'physical', 'system', 'is', 'defined', 'by', 'its', 'behaviour', 'under', 'measurement', 'and', 'the', 'global', 'state', 'is', 'constrained', 'by', 'nosignalling', 'conditions', 'we', 'show', 'that', 'the', 'marginals', 'of', 'symmetric', 'states', 'in', 'such', 'theories', 'can', 'be', 'approximated', 'by', 'convex', 'combinations', 'of', 'independent', 'and', 'identical', 'conditional', 'probability', 'distributions', 'generalizing', 'the', 'classical', 'finite', 'de', 'finetti', 'theorem', 'of', 'diaconis', 'and', 'freedman', 'our', 'results', 'apply', 'to', 'correlations', 'obtained', 'from', 'quantum', 'states', 'even', 'when', 'there', 'is', 'no', 'bound', 'on', 'the', 'local', 'dimension', 'so', 'that', 'known', 'quantum', 'de', 'finetti', 'theorems', 'can', 'not', 'be', 'used']] | [-0.08045336604613731, 0.1662760653899626, -0.1645106828791347, 0.09983328694076415, -0.00609164087329694, -0.16509093077199416, 0.03870185123300774, 0.2825085670152243, -0.25473439288721916, -0.2627832712754211, 0.10234825704321067, -0.23185749086452292, -0.14602609600951064, 0.18989602017384816, -0.12525523145326434, 0.09069049125475354, 0.035132329229840095, 0.04124725157484174, -0.056013292254028006, -0.28038479687963075, 0.3557643371366678, 0.01448505817654919, 0.2853116320094411, 0.032902893072187384, 0.09130517316566027, 0.07462714809399257, 0.023902553688496985, 0.061150023000354464, -0.12691404017142363, 0.06887712561837496, 0.27006461752202127, 0.17037017689081232, 0.23374107439923, -0.4137910233334975, -0.20467825987911287, 0.15161827178993956, 0.10669675000764905, 0.12860699180275836, -0.004770891957648812, -0.361822341251722, 0.07594663566077485, -0.1558076619874052, -0.13903869853473882, -0.0909254819927539, -0.022352133278160335, 0.00032118509741539653, -0.28054172267760846, 0.11554803506302785, 0.1356476108058098, 0.02011803042718229, -0.05247381502549422, -0.09834396907752578, -0.024254440292815104, 0.09678530388176095, -0.010128651327017615, 0.004775719117729905, 0.09722788918743584, -0.08958164734290318, -0.18208269689831527, 0.30659765305809994, -0.07919449368343154, -0.2561408066948717, 0.18183216069418778, -0.1314757184541606, -0.15282786200120252, 0.04051434780233242, 0.08352448786311645, 0.15151630697692645, -0.10808778956778313, 0.16988328109468095, -0.09551046420621903, 0.14252201440877857, 0.08514128033408618, 0.06509191511530786, 0.148218293268075, 0.04102071743963801, 0.1050301489043743, 0.132307623953935, 0.0038542835694549485, -0.17030680743343335, -0.31510117496462897, -0.1501070166067369, -0.2613495386582106, 0.10817667854311405, -0.07857405622641461, -0.13032689119907134, 0.331388615691004, 0.10411204478859486, 0.16574614691211187, 0.08968516065679649, 0.22069746499603732, 0.14305176125329105, 0.013980127370698339, 0.10513934509907948, 0.22129244909453344, 0.1677123074434658, 0.020319437801322723, -0.1551120145360325, 0.11224814461038864, 0.08495338904136356] |
712.0917 | Some properties of finite meadows | The aim of this note is to describe the structure of finite meadows. We will
show that the class of finite meadows is the closure of the class of finite
fields under finite products. As a corollary, we obtain a unique representation
of minimal meadows in terms of prime fields.
| math.RA cs.SC | the aim of this note is to describe the structure of finite meadows we will show that the class of finite meadows is the closure of the class of finite fields under finite products as a corollary we obtain a unique representation of minimal meadows in terms of prime fields | [['the', 'aim', 'of', 'this', 'note', 'is', 'to', 'describe', 'the', 'structure', 'of', 'finite', 'meadows', 'we', 'will', 'show', 'that', 'the', 'class', 'of', 'finite', 'meadows', 'is', 'the', 'closure', 'of', 'the', 'class', 'of', 'finite', 'fields', 'under', 'finite', 'products', 'as', 'a', 'corollary', 'we', 'obtain', 'a', 'unique', 'representation', 'of', 'minimal', 'meadows', 'in', 'terms', 'of', 'prime', 'fields']] | [-0.17674810003489255, 0.1166865574941039, -0.10974604330956936, 0.06359817785443739, -0.08521705143153667, 0.001263022217899561, 0.01035463523119688, 0.33504541986621916, -0.3475907430052757, -0.18483286224305628, 0.10035482044913806, -0.21803538404405118, -0.1498688768595457, 0.17829295448958873, -0.12410143211483955, -0.01853364727925509, 0.021467208247631788, 0.1569139565061778, -0.09362085854401812, -0.27486801832448693, 0.398352272734046, -0.025138409361243248, 0.22167646359652282, 0.07772527573048137, 0.1761363306827843, -0.006246397057548165, -0.02314127329736948, 0.07874147273600102, -0.12381704483719659, 0.09672923248261213, 0.28507620534393935, 0.12745345685631038, 0.27957187448162585, -0.3579924622923136, -0.1573860787600279, 0.21104959920048713, 0.104967444203794, 0.07250803139060735, -0.04714348865672946, -0.1779969877935946, 0.1863892436493188, -0.2346597407013178, -0.1475445797480643, -0.07677011169493199, 0.005115758311003447, 0.0657365083694458, -0.2774587300198618, -0.036390915233641866, 0.1400346762733534, 0.15967029813677072, -0.07253411147743463, -0.1082639959640801, 0.054094712920486926, 0.10505334893241525, 0.04084431664086878, -0.012959551746025682, 0.016679071225225925, -0.12122856847476214, -0.1082840558513999, 0.3937466298043728, -0.11820056499913335, -0.2013065379485488, 0.1669492783397436, -0.1719613293930888, -0.1439461900293827, 0.10377749014645815, 0.15167922738008202, 0.14985641391016544, -0.09962078983080573, 0.2046142620407045, -0.13066557705402373, 0.06771055739372969, 0.05057118977885693, 0.04340024889446795, 0.14205454050563276, 0.12524508067406714, 0.1041792318224907, 0.20323403434827925, -0.041751779671758416, -0.0076070730388164524, -0.42268855541944506, -0.21129858423024417, -0.13352320074569435, 0.11807110778987408, -0.07418942491523922, -0.25348628763109443, 0.43284091152250764, 0.09475707735866308, 0.13159287393093108, 0.1283907185913995, 0.19587385019287468, 0.09136974449967966, 0.07103897027671337, 0.006660077469423414, 0.11181078781373799, 0.20432218902744353, -0.008160168994218111, -0.17230479938909413, 0.020081185908056794, 0.14178782504051923] |
712.0918 | Some thoughts about matrix coordinate transformations | Matrix coordinate transformations are defined as substitution operators
without requiring an ordering prescription or an inclusion function from the
Abelian coordinate transformations. We construct transforming objects mimicking
most of the properties of tensors. We point out some problems with the matrix
generalization of contravariant vectors. We suggest to use the substitution
operators to search for an inclusion function.
| hep-th | matrix coordinate transformations are defined as substitution operators without requiring an ordering prescription or an inclusion function from the abelian coordinate transformations we construct transforming objects mimicking most of the properties of tensors we point out some problems with the matrix generalization of contravariant vectors we suggest to use the substitution operators to search for an inclusion function | [['matrix', 'coordinate', 'transformations', 'are', 'defined', 'as', 'substitution', 'operators', 'without', 'requiring', 'an', 'ordering', 'prescription', 'or', 'an', 'inclusion', 'function', 'from', 'the', 'abelian', 'coordinate', 'transformations', 'we', 'construct', 'transforming', 'objects', 'mimicking', 'most', 'of', 'the', 'properties', 'of', 'tensors', 'we', 'point', 'out', 'some', 'problems', 'with', 'the', 'matrix', 'generalization', 'of', 'contravariant', 'vectors', 'we', 'suggest', 'to', 'use', 'the', 'substitution', 'operators', 'to', 'search', 'for', 'an', 'inclusion', 'function']] | [-0.12096075500072591, 0.09011911311671579, -0.03973898580618974, 0.03794193424782234, -0.13318700427671187, -0.07833514037513944, 0.036759740994151295, 0.38249882079403974, -0.34992853750611236, -0.23689723043734656, 0.07528425875954844, -0.34334596199914813, -0.17330704352031623, 0.10777133522587347, -0.029442647235179, 0.007368760193489364, -0.006283262792717794, 0.016887306902108008, -0.23126036466243838, -0.21305315344642592, 0.37919648850722043, 0.062318132628269234, 0.221476293955769, -0.03454652748969865, 0.12470162127584476, 0.08501957055052807, -0.07401159632116042, -0.009559867887532917, -0.029582610715116406, 0.062325766687442004, 0.24092903232266163, 0.1782438683821338, 0.17111386551425375, -0.4147843665218559, -0.15998695439113111, 0.1674040593688601, 0.09200379760646872, 0.13096247985959053, -0.07401060745730226, -0.2789863680714163, 0.05620426261006726, -0.16474846273194999, -0.15772457163909387, -0.16182120931977084, -0.0052600702078178015, -0.0009611741286413423, -0.31750824735981636, -0.0013100817831682749, 0.09201101085235333, 0.11715976701339843, -0.13625048732401096, -0.14661306409960098, -0.020350366919140876, 0.08381848203837229, 0.03438956198154081, 0.02752526239331426, 0.1439530440558005, -0.12201546978783505, -0.11691734480575242, 0.38891305645992014, -0.03832188625980554, -0.3210899049721273, 0.1575272259149893, -0.0727002567065687, -0.1391119620730651, 0.048447310222023775, 0.10826010970752044, 0.18062502625880056, -0.16810754428071709, 0.10481070497892155, -0.029798021784919346, 0.15662928285520797, 0.07167753452788396, 0.04167633449080689, 0.1549463720895864, 0.05214349800271207, 0.10401295986154983, 0.1773358935345735, 0.020043693683591896, -0.09796301346143772, -0.34535163017953263, -0.1767666558253354, -0.11865746159234951, 0.08000881950659998, -0.1398126590788236, -0.20407772603733787, 0.3414642105023537, 0.1421528472083396, 0.24695048329484617, 0.03430020979380813, 0.1765470434108685, 0.17314992372773524, 0.1590323283754546, 0.038259783294051886, 0.11506802588149279, 0.17086540020456345, 0.0026721780365011817, -0.16493043974483515, 0.024108866269796574, 0.19502315365163417] |
712.0919 | Modeling slow deformation of polygonal particles using DEM | We introduce two improvements in the numerical scheme to simulate collision
and slow shearing of irregular particles. First, we propose an alternative
approach based on simple relations to compute the frictional contact forces.
The approach improves efficiency and accuracy of the Discrete Element Method
(DEM) when modeling the dynamics of the granular packing. We determine the
proper upper limit for the integration step in the standard numerical scheme
using a wide range of material parameters. To this end, we study the kinetic
energy decay in a stress controlled test between two particles. Second, we show
that the usual way of defining the contact plane between two polygonal
particles is, in general, not unique which leads to discontinuities in the
direction of the contact plane while particles move. To solve this drawback, we
introduce an accurate definition for the contact plane based on the shape of
the overlap area between touching particles, which evolves continuously in
time.
| cond-mat.mtrl-sci | we introduce two improvements in the numerical scheme to simulate collision and slow shearing of irregular particles first we propose an alternative approach based on simple relations to compute the frictional contact forces the approach improves efficiency and accuracy of the discrete element method dem when modeling the dynamics of the granular packing we determine the proper upper limit for the integration step in the standard numerical scheme using a wide range of material parameters to this end we study the kinetic energy decay in a stress controlled test between two particles second we show that the usual way of defining the contact plane between two polygonal particles is in general not unique which leads to discontinuities in the direction of the contact plane while particles move to solve this drawback we introduce an accurate definition for the contact plane based on the shape of the overlap area between touching particles which evolves continuously in time | [['we', 'introduce', 'two', 'improvements', 'in', 'the', 'numerical', 'scheme', 'to', 'simulate', 'collision', 'and', 'slow', 'shearing', 'of', 'irregular', 'particles', 'first', 'we', 'propose', 'an', 'alternative', 'approach', 'based', 'on', 'simple', 'relations', 'to', 'compute', 'the', 'frictional', 'contact', 'forces', 'the', 'approach', 'improves', 'efficiency', 'and', 'accuracy', 'of', 'the', 'discrete', 'element', 'method', 'dem', 'when', 'modeling', 'the', 'dynamics', 'of', 'the', 'granular', 'packing', 'we', 'determine', 'the', 'proper', 'upper', 'limit', 'for', 'the', 'integration', 'step', 'in', 'the', 'standard', 'numerical', 'scheme', 'using', 'a', 'wide', 'range', 'of', 'material', 'parameters', 'to', 'this', 'end', 'we', 'study', 'the', 'kinetic', 'energy', 'decay', 'in', 'a', 'stress', 'controlled', 'test', 'between', 'two', 'particles', 'second', 'we', 'show', 'that', 'the', 'usual', 'way', 'of', 'defining', 'the', 'contact', 'plane', 'between', 'two', 'polygonal', 'particles', 'is', 'in', 'general', 'not', 'unique', 'which', 'leads', 'to', 'discontinuities', 'in', 'the', 'direction', 'of', 'the', 'contact', 'plane', 'while', 'particles', 'move', 'to', 'solve', 'this', 'drawback', 'we', 'introduce', 'an', 'accurate', 'definition', 'for', 'the', 'contact', 'plane', 'based', 'on', 'the', 'shape', 'of', 'the', 'overlap', 'area', 'between', 'touching', 'particles', 'which', 'evolves', 'continuously', 'in', 'time']] | [-0.13045461733007613, 0.1014991521923758, -0.10742365014261733, 0.02533511137097286, -0.06560360535215108, -0.09315606376800972, 0.04564831359685064, 0.3817496786896999, -0.2847140713964995, -0.3156258671019131, 0.021509330764111396, -0.23396423247714454, -0.1309208557687294, 0.19417713363416111, -0.0382422893636454, 0.05181561490425315, 0.06469296066102405, -0.01196285771826903, -0.09651375754410998, -0.19559326228530458, 0.3041742996070892, 0.028627607099807415, 0.27284759986184487, 0.06876010039689927, 0.13155839465057048, 0.0309302266045378, -0.022873574945454795, 0.045116469085862775, -0.1783692502995109, 0.1211484961468392, 0.17075045927403829, 0.028695727767160114, 0.2476947696473545, -0.43512976493161076, -0.18659395926918548, 0.10393868127945237, 0.13941878325138718, 0.09934745170474531, -0.03222468228061469, -0.22745701650348613, 0.042338663461403206, -0.15516134891778421, -0.16273112760450786, -0.03211413674916212, 0.014010399929247797, 0.04191203444460347, -0.2441157695138827, 0.0745643739684079, 0.05750378074411016, 0.02731166395731121, -0.05123593085236513, -0.03494670032896698, 0.023966646472660776, 0.14441605882352748, 0.032694568569497325, 0.0007258337416435377, 0.1459331987425685, -0.10027273750165477, -0.07503244324396245, 0.404232032238864, -0.0647579464303374, -0.2576529792605493, 0.21557728225030962, -0.12733610489895233, -0.10951593841533534, 0.16728893565969208, 0.2159578359255997, 0.12362515152945446, -0.1569261131141199, 0.04450418161547695, -0.0044852640503683155, 0.1443591316600736, 0.06798662384374975, -0.054051674363272004, 0.18649891092298695, 0.19673281352674493, 0.09457024399979183, 0.16047541039864507, -0.12407980443244107, -0.14315576419138756, -0.30826694752949363, -0.19963631530294945, -0.17695503379143654, -0.020536758648795044, -0.10022448439084632, -0.19948682583307323, 0.3646180302798595, 0.17882957040833738, 0.22406347979528782, 0.06869795628918861, 0.31516389379230064, 0.1034991829476964, 0.029128242268015105, 0.07739507776792519, 0.2729711788654244, 0.09779822666986057, 0.08098862309587929, -0.23376276094980616, 0.014029207173734903, 0.09893660897162193] |
712.092 | Choice Number and Energy of Graphs | The energy of a graph G, denoted by E(G), is defined as the sum of the
absolute values of all eigenvalues of G. It is proved that E(G)>=
2(n-\chi(\bar{G}))>= 2(ch(G)-1) for every graph G of order n, and that E(G)>=
2ch(G) for all graphs G except for those in a few specified families, where
\bar{G}, \chi(G), and ch(G) are the complement, the chromatic number, and the
choice number of G, respectively.
| math.CO | the energy of a graph g denoted by eg is defined as the sum of the absolute values of all eigenvalues of g it is proved that eg 2nchibarg 2chg1 for every graph g of order n and that eg 2chg for all graphs g except for those in a few specified families where barg chig and chg are the complement the chromatic number and the choice number of g respectively | [['the', 'energy', 'of', 'a', 'graph', 'g', 'denoted', 'by', 'eg', 'is', 'defined', 'as', 'the', 'sum', 'of', 'the', 'absolute', 'values', 'of', 'all', 'eigenvalues', 'of', 'g', 'it', 'is', 'proved', 'that', 'eg', '2nchibarg', '2chg1', 'for', 'every', 'graph', 'g', 'of', 'order', 'n', 'and', 'that', 'eg', '2chg', 'for', 'all', 'graphs', 'g', 'except', 'for', 'those', 'in', 'a', 'few', 'specified', 'families', 'where', 'barg', 'chig', 'and', 'chg', 'are', 'the', 'complement', 'the', 'chromatic', 'number', 'and', 'the', 'choice', 'number', 'of', 'g', 'respectively']] | [-0.21222331884371884, 0.15020526630584807, 0.0003614666228018263, -0.014348570514223813, -0.0799004360280164, -0.10563228902516558, 0.019428612527382726, 0.3561733695404494, -0.2298275017836953, -0.4054001465658931, 0.10617442456286345, -0.3044249550713336, -0.10622780225308173, 0.19985908765674515, -0.061761011807795835, 0.018468619959629208, 0.06689279426491875, 0.18840933517854222, 0.025372282533413348, -0.23520402798364076, 0.30657972417333546, -0.0849098977221943, 0.14347025920184986, 0.05364417881184422, 0.06661435173951116, 0.0330953133148689, 0.0061144316842889086, 0.09684009450104307, -0.15080892736445736, 0.08032213352442555, 0.26179326802273006, 0.1318339860847439, 0.2762547657441567, -0.3127948035231812, -0.1751965213813545, 0.2381444858688423, 0.07291606009568889, -0.0540894228444599, 0.04317917313207598, -0.1980113951242803, 0.1592662885788527, -0.1445183712605606, -0.06373731316039886, 0.018905663314987633, 0.14805324150331536, 0.07007898067069404, -0.2979136021150386, -0.02819814146770274, 0.0722398279399118, 0.04932308057323098, 0.09415203544845366, -0.2324295201448395, -0.1031702046679771, 0.12882927588789778, -0.04076409299501821, 0.05142385699539719, 0.024820726001053117, -0.14216396337210693, -0.08284120834501021, 0.4407582439701347, -0.057104269749663004, -0.1419561865109512, 0.08084552909713238, -0.15032308842466377, -0.15119968493715585, 0.08723737639101113, 0.06454963664359906, 0.1832925504217308, -0.02511544054483666, 0.14001001757038894, -0.10318064755975843, 0.08241269209504347, 0.13141782214070724, 0.04346847228760667, 0.09832783273476012, 0.08915770137066241, 0.1416013831656207, 0.10604218285366454, 0.010179058922564281, 0.10484668769983246, -0.35770227099933166, -0.12168369138175074, -0.2875652816180852, 0.061154689502847547, -0.17052697814827245, -0.17330436666003046, 0.42098993950468655, 0.06573205454932417, 0.19209087590056964, 0.1074871109226746, 0.20204373213517315, 0.09244554345872637, 0.04610054786590969, 0.1776042186846847, 0.12639604359933668, 0.20941236946964636, -0.07702960669720436, -0.15289677172789679, 0.05511706794512814, 0.14203607686795294] |
712.0921 | Going Beyond Bell's Theorem | Bell's Theorem proved that one cannot in general reproduce the results of
quantum theory with a classical, deterministic local model. However, Einstein
originally considered the case where one could define an 'element of reality',
namely for the much simpler case where one could predict with certainty a
definite outcome for an experiment. For this simple case, Bell's Theorem says
nothing. But by using a slightly more complicated model than Bell, one can show
that even in this simple case where one can make definite predictions, one
still cannot generally introduce deterministic, local models to explain the
results.
| quant-ph | bells theorem proved that one cannot in general reproduce the results of quantum theory with a classical deterministic local model however einstein originally considered the case where one could define an element of reality namely for the much simpler case where one could predict with certainty a definite outcome for an experiment for this simple case bells theorem says nothing but by using a slightly more complicated model than bell one can show that even in this simple case where one can make definite predictions one still cannot generally introduce deterministic local models to explain the results | [['bells', 'theorem', 'proved', 'that', 'one', 'can', 'not', 'in', 'general', 'reproduce', 'the', 'results', 'of', 'quantum', 'theory', 'with', 'a', 'classical', 'deterministic', 'local', 'model', 'however', 'einstein', 'originally', 'considered', 'the', 'case', 'where', 'one', 'could', 'define', 'an', 'element', 'of', 'reality', 'namely', 'for', 'the', 'much', 'simpler', 'case', 'where', 'one', 'could', 'predict', 'with', 'certainty', 'a', 'definite', 'outcome', 'for', 'an', 'experiment', 'for', 'this', 'simple', 'case', 'bells', 'theorem', 'says', 'nothing', 'but', 'by', 'using', 'a', 'slightly', 'more', 'complicated', 'model', 'than', 'bell', 'one', 'can', 'show', 'that', 'even', 'in', 'this', 'simple', 'case', 'where', 'one', 'can', 'make', 'definite', 'predictions', 'one', 'still', 'can', 'not', 'generally', 'introduce', 'deterministic', 'local', 'models', 'to', 'explain', 'the', 'results']] | [-0.031088375859197718, 0.09763157217454099, -0.1100294685574493, 0.14776477423458914, -0.09480629888165629, -0.26906296534162727, -0.011795045157678125, 0.3048602875623137, -0.23855082719136123, -0.27120131643658335, 0.06726321346488678, -0.21317365137164038, -0.15893366251523297, 0.24026755747300657, -0.11529402180828831, -0.013913700375894103, 0.06773553741390281, 0.10216610314268054, -0.05188662650750367, -0.27748622065833345, 0.2959677092778035, 0.0028506667089220512, 0.2340621986671003, 0.023363299276256425, 0.04222967720242462, 0.029936663749994652, 0.02480726336326563, 0.05016597021239424, -0.0620674857256212, 0.08401024884678367, 0.2530921611862067, 0.12968107244244428, 0.295159926130013, -0.45531527588915344, -0.228226586705958, 0.17435673262096113, 0.11966006762131748, 0.16753636745764225, -0.023085658856981547, -0.25864021882715854, 0.08813705753459773, -0.16306613958111466, -0.18460878245814732, -0.08257738700268244, -0.01006728701406356, -0.08405232043452372, -0.29327234667208457, 0.08813626069876582, 0.115973830994482, -0.004929805945868444, -0.009438245855930328, -0.08456446818367701, 0.03287730503573336, 0.0453653536323044, -0.01593664232312203, 0.029431148295789356, 0.0619489908256013, -0.0973581443258533, -0.1765352365222167, 0.4211601283815172, -0.047608485923535566, -0.2650278255653878, 0.1975146647157016, -0.17474397837720584, -0.1606707459579062, 0.04050274031481357, 0.051117019821899104, 0.12071029713960608, -0.1412540041004317, 0.016347231305759363, -0.12448900019881701, 0.21551777736631908, 0.06437274623624605, 0.003311716150045583, 0.18053424889233546, 0.09071571458921288, 0.08540886721451475, 0.09197462738181154, 0.01875377952525712, -0.15691359922515624, -0.29474388987691413, -0.17308484338637856, -0.18811283339605187, 0.11036228128465485, -0.06451501391564655, -0.1402147763333462, 0.3318998431410603, 0.14956303787678762, 0.1767341856459024, 0.088306147172445, 0.2884419080025206, 0.134609914375375, 0.0681360654175432, 0.05623689256232194, 0.301195999471038, 0.0908356493908084, 0.07767807619853152, -0.0896644540803714, 0.11997155903490504, 0.06495074349257982] |
712.0922 | Transgression and Clifford algebras | Let $W$ be a differential (not necessarily commutative) algebra which carries
a free action of a polynomial algebra $SP$ with homogeneous generators $p_1,
>..., p_r$. We show that for $W$ acyclic, the cohomology of the quotient
$H(W/<p_1, ..., p_r>)$ is isomorphic to a Clifford algebra $\text{Cl}(P,B)$,
where the (possibly degenerate) bilinear form $B$ depends on $W$. This
observation is an analogue of an old result of Borel in a non-commutative
context. As an application, we study the case of $W$ given by the quantized
Weil algebra $\qWg = \Ug \otimes \Clg$ for $\Lieg$ a reductive Lie algebra. The
resulting cohomology of the canonical Weil differential gives a Clifford
algebra, but the bilinear form vanishes on the space of primitive invariants of
the semi-simple part. As an application, we consider the deformed Weil
differential (following Freed, Hopkins and Teleman).
| math.RT math.QA | let w be a differential not necessarily commutative algebra which carries a free action of a polynomial algebra sp with homogeneous generators p_1 p_r we show that for w acyclic the cohomology of the quotient hwp_1 p_r is isomorphic to a clifford algebra textclpb where the possibly degenerate bilinear form b depends on w this observation is an analogue of an old result of borel in a noncommutative context as an application we study the case of w given by the quantized weil algebra qwg ug otimes clg for lieg a reductive lie algebra the resulting cohomology of the canonical weil differential gives a clifford algebra but the bilinear form vanishes on the space of primitive invariants of the semisimple part as an application we consider the deformed weil differential following freed hopkins and teleman | [['let', 'w', 'be', 'a', 'differential', 'not', 'necessarily', 'commutative', 'algebra', 'which', 'carries', 'a', 'free', 'action', 'of', 'a', 'polynomial', 'algebra', 'sp', 'with', 'homogeneous', 'generators', 'p_1', 'p_r', 'we', 'show', 'that', 'for', 'w', 'acyclic', 'the', 'cohomology', 'of', 'the', 'quotient', 'hwp_1', 'p_r', 'is', 'isomorphic', 'to', 'a', 'clifford', 'algebra', 'textclpb', 'where', 'the', 'possibly', 'degenerate', 'bilinear', 'form', 'b', 'depends', 'on', 'w', 'this', 'observation', 'is', 'an', 'analogue', 'of', 'an', 'old', 'result', 'of', 'borel', 'in', 'a', 'noncommutative', 'context', 'as', 'an', 'application', 'we', 'study', 'the', 'case', 'of', 'w', 'given', 'by', 'the', 'quantized', 'weil', 'algebra', 'qwg', 'ug', 'otimes', 'clg', 'for', 'lieg', 'a', 'reductive', 'lie', 'algebra', 'the', 'resulting', 'cohomology', 'of', 'the', 'canonical', 'weil', 'differential', 'gives', 'a', 'clifford', 'algebra', 'but', 'the', 'bilinear', 'form', 'vanishes', 'on', 'the', 'space', 'of', 'primitive', 'invariants', 'of', 'the', 'semisimple', 'part', 'as', 'an', 'application', 'we', 'consider', 'the', 'deformed', 'weil', 'differential', 'following', 'freed', 'hopkins', 'and', 'teleman']] | [-0.20995808809565267, 0.09549232871866094, -0.09744020076256922, 0.027548148670272592, -0.16445356772888, -0.11798225083938715, -0.06270883833481507, 0.27184371981826244, -0.39233201235589205, -0.17692462271114698, 0.08716865690957727, -0.22110558717571566, -0.11847512807457172, 0.19271956684039623, -0.1743327852719548, -0.09595545053580833, 0.044141092101309565, 0.16560668192952024, -0.12758493801458937, -0.2766404920698595, 0.42909508908897726, -0.02083649975600455, 0.1881429888325687, -0.033876711248674175, 0.13001569299817536, 0.05337789925132794, -0.0017156454163010824, -0.0691634763112013, -0.13706832020183024, 0.09995815105679812, 0.300627475872523, 0.04484522953597744, 0.20090475997527724, -0.3498614440657989, -0.05680225789194193, 0.19090686056579492, 0.15111731518426855, -0.03892755799020189, -0.022926850404032986, -0.27121661115035584, 0.0744456393981774, -0.26275519321136404, -0.12514801617274343, -0.0500894602261145, 0.11534704986225927, -0.08004458952927962, -0.28190220580224623, 0.01013963499854347, 0.1109008296378747, 0.1546283177396452, -0.07987956831295212, -0.11959009617214289, -0.11488187001933428, -0.006682026207051946, -0.1034439729648346, 0.07082156254380773, 0.12341050884446525, -0.07348791396097196, -0.1568218019903835, 0.38698209242923465, -0.08366193755169991, -0.25332841402004386, 0.051064051481344824, -0.17343815375793245, -0.17266905889140838, 0.06692780466277548, 0.06142588638326605, 0.1433493073705132, 0.01343173414793317, 0.2647649354621535, -0.17996384175917643, 0.04485878891622027, 0.05080943177877502, -0.01737043140526635, 0.11307287306672978, 0.0651695498628683, 0.05408468875314363, 0.10997574420726972, 0.062010918969683575, -0.04127733626889742, -0.41391236360438843, -0.23225169029363757, -0.11755636580302521, 0.2145895554039629, -0.10025421772352826, -0.1730565697547387, 0.38590735372748564, 0.04066583129161066, 0.19568631818313434, 0.07163023808618274, 0.19451833407352256, 0.16845586199391013, 0.09436481905206827, 0.043820486016832576, 0.09561533799437298, 0.29604036262026057, -0.010322003321947925, -0.16407218565599938, -0.05753574295985428, 0.22523656182315652] |
712.0923 | A Linear Equation for Wilson Loops | The Makeenko-Migdal loop equation is non-linear and first order in the area
derivative, but we show that for simple loops in QCD$_2$ it is possible to
reformulate this equation as a linear equation with second order derivatives.
This equation is a bound state Schr\"odinger equation with a three dimensional
Coulomb potential. Thus, loop dynamics leads to a surprising new picture of
confinement, where this phenomenon is due to a (bound state) localization in
loop space, with the Wilson loops decaying exponentially outside a
characteristic radius.
| hep-th hep-lat hep-ph | the makeenkomigdal loop equation is nonlinear and first order in the area derivative but we show that for simple loops in qcd_2 it is possible to reformulate this equation as a linear equation with second order derivatives this equation is a bound state schrodinger equation with a three dimensional coulomb potential thus loop dynamics leads to a surprising new picture of confinement where this phenomenon is due to a bound state localization in loop space with the wilson loops decaying exponentially outside a characteristic radius | [['the', 'makeenkomigdal', 'loop', 'equation', 'is', 'nonlinear', 'and', 'first', 'order', 'in', 'the', 'area', 'derivative', 'but', 'we', 'show', 'that', 'for', 'simple', 'loops', 'in', 'qcd_2', 'it', 'is', 'possible', 'to', 'reformulate', 'this', 'equation', 'as', 'a', 'linear', 'equation', 'with', 'second', 'order', 'derivatives', 'this', 'equation', 'is', 'a', 'bound', 'state', 'schrodinger', 'equation', 'with', 'a', 'three', 'dimensional', 'coulomb', 'potential', 'thus', 'loop', 'dynamics', 'leads', 'to', 'a', 'surprising', 'new', 'picture', 'of', 'confinement', 'where', 'this', 'phenomenon', 'is', 'due', 'to', 'a', 'bound', 'state', 'localization', 'in', 'loop', 'space', 'with', 'the', 'wilson', 'loops', 'decaying', 'exponentially', 'outside', 'a', 'characteristic', 'radius']] | [-0.15878911118899636, 0.1618250555742313, -0.10763498697402503, 0.07612041679128785, -0.10756238174679525, -0.1573132089284413, 0.013732081165482454, 0.3073483628823477, -0.256781215834267, -0.2502489668755409, 0.08378319169038578, -0.2777258203638827, -0.186891740253743, 0.14190078458803543, -0.015242635549100884, 0.048168743138804156, 0.04561886790701571, 0.11052412000649116, -0.06790771232712466, -0.22428519316291545, 0.3385081552736023, -0.004743865105967202, 0.2067521489060977, 0.08706630593138363, 0.11016728031613371, -0.05817679940339397, 0.0850861320272088, 0.03523525054915808, -0.10541548914976268, 0.08555524512057137, 0.17570135219789604, -0.008966707230052526, 0.2731265939772129, -0.3849701019551824, -0.25280462186783553, 0.0646240033538026, 0.17554281055927276, 0.14597081101554282, -0.020263447064687225, -0.2657075739958707, 0.016270340365522048, -0.16251754195922438, -0.2237746155985138, -0.06633445043116808, 0.05460182848276899, -0.06621829438954592, -0.2778652814709965, 0.1272727471009335, 0.05863879300544367, -0.05102762957925305, -0.07044425643980504, -0.03895348653416423, 0.020862863075864664, 0.05011943594059524, 0.03654839152141529, 0.08386612725718057, 0.022321801627164378, -0.15791996988469584, -0.10540529154788922, 0.37089185394784985, -0.08836933162118144, -0.22118472318928553, 0.13756261191276067, -0.19583316598197117, -0.0856924005154082, 0.14025018171898196, 0.1494017497088541, 0.1277209738159881, -0.15516529777909027, 0.14417369268108707, -0.011281736270414995, 0.1747038803426275, 0.06217822405126165, -0.00177143784787725, 0.15056312907048885, 0.1685352974297369, 0.11108171445701052, 0.1645611607853104, -0.02690686666790177, -0.18740878007991021, -0.375320902422947, -0.18656391227645253, -0.13277607313631212, 0.09015851190642399, -0.06174396735544125, -0.2095257114399882, 0.38089731917339925, 0.10333471229943611, 0.21513070245821247, 0.03958786857478759, 0.3080475808943019, 0.22454099390957066, 0.06239767549011637, 0.07193358416449935, 0.19692310197826693, 0.1829796027036055, 0.11107977680204546, -0.2421690942202558, -0.025486511726151493, 0.16855836608173216] |
712.0924 | GRB neutrino detection via time profile stacking | A method is presented for the identification of high-energy neutrinos from
gamma ray bursts by means of a large-scale neutrino telescope. The procedure
makes use of a time profile stacking technique of observed neutrino induced
signals in correlation with satellite observations. By selecting a rather wide
time window, a possible difference between the arrival times of the gamma and
neutrino signals may also be identified. This might provide insight in the
particle production processes at the source. By means of a toy model it will be
demonstrated that a statistically significant signal can be obtained with a
km$^{3}$-scale neutrino telescope on a sample of 500 gamma ray bursts for a
signal rate as low as 1 detectable neutrino for 3% of the bursts.
| astro-ph | a method is presented for the identification of highenergy neutrinos from gamma ray bursts by means of a largescale neutrino telescope the procedure makes use of a time profile stacking technique of observed neutrino induced signals in correlation with satellite observations by selecting a rather wide time window a possible difference between the arrival times of the gamma and neutrino signals may also be identified this might provide insight in the particle production processes at the source by means of a toy model it will be demonstrated that a statistically significant signal can be obtained with a km3scale neutrino telescope on a sample of 500 gamma ray bursts for a signal rate as low as 1 detectable neutrino for 3 of the bursts | [['a', 'method', 'is', 'presented', 'for', 'the', 'identification', 'of', 'highenergy', 'neutrinos', 'from', 'gamma', 'ray', 'bursts', 'by', 'means', 'of', 'a', 'largescale', 'neutrino', 'telescope', 'the', 'procedure', 'makes', 'use', 'of', 'a', 'time', 'profile', 'stacking', 'technique', 'of', 'observed', 'neutrino', 'induced', 'signals', 'in', 'correlation', 'with', 'satellite', 'observations', 'by', 'selecting', 'a', 'rather', 'wide', 'time', 'window', 'a', 'possible', 'difference', 'between', 'the', 'arrival', 'times', 'of', 'the', 'gamma', 'and', 'neutrino', 'signals', 'may', 'also', 'be', 'identified', 'this', 'might', 'provide', 'insight', 'in', 'the', 'particle', 'production', 'processes', 'at', 'the', 'source', 'by', 'means', 'of', 'a', 'toy', 'model', 'it', 'will', 'be', 'demonstrated', 'that', 'a', 'statistically', 'significant', 'signal', 'can', 'be', 'obtained', 'with', 'a', 'km3scale', 'neutrino', 'telescope', 'on', 'a', 'sample', 'of', '500', 'gamma', 'ray', 'bursts', 'for', 'a', 'signal', 'rate', 'as', 'low', 'as', '1', 'detectable', 'neutrino', 'for', '3', 'of', 'the', 'bursts']] | [-0.09079538515581545, 0.2112269448192139, -0.0854511763105487, 0.156512521029397, -0.06768257944935524, -0.09469353580635374, 0.0837416268650412, 0.3991327637700531, -0.2412888468432475, -0.3522446792027572, 0.07912278754780508, -0.2896621893363535, -0.07796480696614287, 0.2923519401498729, 0.0663501734020022, -0.0020452452959810814, 0.10119898169683822, -0.0076640306125353354, -0.05171885692402796, -0.17466539351981344, 0.24725140932742962, 0.18415832670965815, 0.21329529797734043, 0.00767815850175372, 0.13207428461713036, -0.04174378692414763, -0.11785938645802, -0.028724043081113235, -0.053630987229878635, 0.021819849884728106, 0.25487120541918085, 0.15526489382306854, 0.18328480894972637, -0.3724062068808925, -0.2565754419192672, 0.154041381509278, 0.12416161595639295, 0.035865904649765024, -0.12034771298872292, -0.31444858234542294, 0.07498855012794578, -0.18277525463391367, -0.13277265775903332, 0.04735521834373959, 0.003955254872609687, 0.030601925606559204, -0.2889886965096845, 0.0772168329475368, -0.01569688489009452, 0.0003127857183325824, -0.020737834255366277, -0.06540884086635054, 0.03885592028263926, 0.07687589438344405, 0.08844814468572688, 0.030492010782851377, 0.10690586876343723, -0.11085684615096486, -0.11066006069455857, 0.41220089199581766, -0.0985933760412007, -0.10755050783348459, 0.13861464223695721, -0.17624801952709876, -0.13265883733662284, 0.2154421609470515, 0.19203694490337275, 0.07677385097793568, -0.20721424536824953, 0.04691415548308495, -0.017754251587893663, 0.18988452621402477, 0.05059319366587371, 0.007130611774973511, 0.2740319037726679, 0.21402357296821306, 0.09143908425590129, 0.04383707077268935, -0.2214600001405016, 0.07045720285987785, -0.3287644423194214, -0.12939804154296777, -0.17238994521217618, 0.0959486858805687, -0.09419955921014374, -0.10786749611086235, 0.4255430648307793, 0.0747527877120604, 0.20427963771380303, 0.02566336457829589, 0.26285316268118414, 0.10032163854741408, 0.06343369857158239, 0.017430861325313646, 0.2723027544126399, 0.09575579889360966, 0.10075987834574246, -0.17868450352339058, 0.07104321476072073, 0.0093012920701952] |
712.0925 | Lagrangian reductive structures on gauge-natural bundles | A reductive structure is associated here with Lagrangian canonically defined
conserved quantities on gauge-natural bundles. Parametrized transformations
defined by the gauge-natural lift of infinitesimal principal automorphisms
induce a variational sequence such that the generalized Jacobi morphism is
naturally self-adjoint. As a consequence, its kernel defines a reductive split
structure on the relevant underlying principal bundle.
| math-ph math.DG math.MP | a reductive structure is associated here with lagrangian canonically defined conserved quantities on gaugenatural bundles parametrized transformations defined by the gaugenatural lift of infinitesimal principal automorphisms induce a variational sequence such that the generalized jacobi morphism is naturally selfadjoint as a consequence its kernel defines a reductive split structure on the relevant underlying principal bundle | [['a', 'reductive', 'structure', 'is', 'associated', 'here', 'with', 'lagrangian', 'canonically', 'defined', 'conserved', 'quantities', 'on', 'gaugenatural', 'bundles', 'parametrized', 'transformations', 'defined', 'by', 'the', 'gaugenatural', 'lift', 'of', 'infinitesimal', 'principal', 'automorphisms', 'induce', 'a', 'variational', 'sequence', 'such', 'that', 'the', 'generalized', 'jacobi', 'morphism', 'is', 'naturally', 'selfadjoint', 'as', 'a', 'consequence', 'its', 'kernel', 'defines', 'a', 'reductive', 'split', 'structure', 'on', 'the', 'relevant', 'underlying', 'principal', 'bundle']] | [-0.2534985535354777, 0.11119865186999298, -0.09080125813118436, 0.07932365799576721, -0.20582922874865206, -0.10366942187432539, -0.09688319398132576, 0.33584882798604665, -0.44584312547336924, -0.1435643019323999, 0.05355792999775572, -0.19515806370499458, -0.21484104862055656, 0.13389317024160516, -0.10764454503289678, -0.02054907859789885, 0.04634451170197942, 0.14169445911591702, -0.1459916667801074, -0.152567017596977, 0.48302638083696364, 0.0025059733687984673, 0.24154710188423367, -0.020212800411338157, 0.18840936065058816, 0.03137808634306897, -0.00856019049798223, -0.018339154141193085, -0.0854868049528291, 0.1012232016687366, 0.3287079967219721, 0.06180453136224638, 0.19430289154194974, -0.3450988855212927, -0.17349901560016653, 0.20218978898430412, 0.12763718701899052, -0.06976874612949112, 0.0440923683302985, -0.303442356870933, 0.03149824206801978, -0.17001705705399878, -0.16333993161943824, -0.16628578974950042, 0.013619261946190488, -0.008132611766235311, -0.20144292370373892, 0.031483762338757514, 0.09332172308455813, 0.12491415949030356, -0.07276003154799003, -0.0550472197630866, -0.18820444945118983, -0.005687581070444801, -0.0028013521720739927, 0.08817017979665913, 0.20205169543623924, 0.020981493228199807, -0.09355276407864453, 0.3874097023836591, -0.11080039226534692, -0.32909412441605873, 0.047986319187012585, -0.028979699694636193, -0.19945563301444053, 0.09039662387222051, 0.07932358316399835, 0.2023192889686801, -0.03769220084332946, 0.20040378446098078, -0.12354170752011917, 0.026952936371195724, 0.060810797272080726, -0.04873337541622194, 0.1536124682223255, 0.0581596780907024, 0.07863151769746433, 0.0824033216827295, 0.08722212806407531, -0.12074633728374135, -0.4276012751189145, -0.17327282074838876, -0.11651332664557479, 0.20116515823782802, -0.12572010675953194, -0.23204004163007166, 0.44558739470825953, 0.02094421467997811, 0.2694182126359506, 0.06720200317319144, 0.1970558321272785, 0.11563442280643027, 0.1475265441885726, 0.009782263687388463, 0.11442805413918739, 0.3313771868971261, -0.11033163681964983, -0.15746089162897658, -0.021162125798450275, 0.25229470641775564] |
712.0926 | Field dependence of the quantum ground state in the Shastry-Sutherland
system SrCu$_2$(BO$_3$)$_2$ | We present magnetic torque measurements on the Shastry-Sutherland quantum
spin system SrCu$_2$(BO$_3$)$_2$ in fields up to 31 T and temperatures down to
50 mK. A new quantum phase is observed in a 1 T field range above the 1/8
plateau, in agreement with recent NMR results. Since the presence of the DM
coupling precludes the existence of a true Bose-Einstein condensation and the
formation of a supersolid phase in SrCu$_2$(BO$_3$)$_2$, the exact nature of
the new phase in the vicinity of the plateau remains to be explained.
Comparison between magnetization and torque data reveals a huge contribution of
the Dzyaloshinskii-Moriya interaction to the torque response. Finally, our
measurements demonstrate the existence of a supercooling due to adiabatic
magnetocaloric effects in pulsed field experiments.
| cond-mat.str-el | we present magnetic torque measurements on the shastrysutherland quantum spin system srcu_2bo_3_2 in fields up to 31 t and temperatures down to 50 mk a new quantum phase is observed in a 1 t field range above the 18 plateau in agreement with recent nmr results since the presence of the dm coupling precludes the existence of a true boseeinstein condensation and the formation of a supersolid phase in srcu_2bo_3_2 the exact nature of the new phase in the vicinity of the plateau remains to be explained comparison between magnetization and torque data reveals a huge contribution of the dzyaloshinskiimoriya interaction to the torque response finally our measurements demonstrate the existence of a supercooling due to adiabatic magnetocaloric effects in pulsed field experiments | [['we', 'present', 'magnetic', 'torque', 'measurements', 'on', 'the', 'shastrysutherland', 'quantum', 'spin', 'system', 'srcu_2bo_3_2', 'in', 'fields', 'up', 'to', '31', 't', 'and', 'temperatures', 'down', 'to', '50', 'mk', 'a', 'new', 'quantum', 'phase', 'is', 'observed', 'in', 'a', '1', 't', 'field', 'range', 'above', 'the', '18', 'plateau', 'in', 'agreement', 'with', 'recent', 'nmr', 'results', 'since', 'the', 'presence', 'of', 'the', 'dm', 'coupling', 'precludes', 'the', 'existence', 'of', 'a', 'true', 'boseeinstein', 'condensation', 'and', 'the', 'formation', 'of', 'a', 'supersolid', 'phase', 'in', 'srcu_2bo_3_2', 'the', 'exact', 'nature', 'of', 'the', 'new', 'phase', 'in', 'the', 'vicinity', 'of', 'the', 'plateau', 'remains', 'to', 'be', 'explained', 'comparison', 'between', 'magnetization', 'and', 'torque', 'data', 'reveals', 'a', 'huge', 'contribution', 'of', 'the', 'dzyaloshinskiimoriya', 'interaction', 'to', 'the', 'torque', 'response', 'finally', 'our', 'measurements', 'demonstrate', 'the', 'existence', 'of', 'a', 'supercooling', 'due', 'to', 'adiabatic', 'magnetocaloric', 'effects', 'in', 'pulsed', 'field', 'experiments']] | [-0.19956207793296837, 0.20586425658482, -0.062410105477897375, 0.010527103860120525, -0.05408664889694229, -0.08584825191041076, 0.08833589651091857, 0.33112830820122385, -0.2427213956427768, -0.35259365735620984, 0.055823498066681305, -0.26373077298294967, -0.07470499315276379, 0.21043286034534495, 0.0379693041067207, -0.009472969737721652, -0.015161699721423106, 0.009660028511321368, -0.10222551615045565, -0.2011443391911746, 0.25921225879432225, 0.021968016656479093, 0.2627678496490528, 0.10960257218628214, 0.05903401128224635, -0.03640200725209528, 0.106015600582085, -0.0033905165784848413, -0.14874211954316352, 0.0015953899383908364, 0.2264694527962351, -0.06250173185490132, 0.17273039950769606, -0.4063766865983484, -0.19973693257888658, 0.08622448274305439, 0.10281432122162475, 0.16087266693920527, -0.09720067987010277, -0.2934802074280636, 0.01756677772883871, -0.1465536599100484, -0.1344999325030097, -0.10092553501660989, 0.013633040323232612, -0.023341782027628363, -0.2636558775718104, 0.1422069535057848, 0.09199520729470817, 0.10689558072121648, -0.10654920615573846, -0.08257761790807079, -0.006224790059893233, 0.04190962631028236, 0.053340578422412216, 0.10636359452633415, 0.14710939303797677, -0.16683808641841377, -0.1377149995575409, 0.3307163599590824, -0.1111720629652576, -0.04316437505639908, 0.1815993634991469, -0.22052989498810555, -0.08394951935066289, 0.17466750647872686, 0.1238357075854447, 0.07967844810261111, -0.1194908214331703, 0.06652462763978713, 0.007843933166648314, 0.1988745649322504, 0.009014284547713653, 0.026330911269923957, 0.2789336107746978, 0.19676457390916058, -0.007107399952999218, 0.17857544226628705, -0.15797525719451772, -0.12707850004061755, -0.2683285913293863, -0.15801238734180456, -0.21325758894587435, 0.07206826723688017, -0.07799915895133366, -0.13259846471416636, 0.375594748947883, 0.20378891845816763, 0.20680741428178015, -0.02093398028310782, 0.2596674067672433, 0.07350250645739413, 0.04883887242843828, 0.042900278410927306, 0.3202572987543616, 0.24078008362160222, 0.1680810955443942, -0.3236005445071534, 0.04264393833568093, -0.04527480304250645] |
712.0927 | Photometric Properties and Scaling Relations of Early Type Brightest
Cluster Galaxies | We investigate the photometric properties of the early type Brightest Cluster
Galaxies (BCGs) using a carefully selected sample of 85 BCGs from the C4
cluster catalogue with redshift less than 0.1. We perform accurate background
subtractions, and surface photometry for these BCGs to 25 $\magsec$ in the
Sloan $r$-band. By quantitatively analysing the gradient of the Petrosian
profiles of BCGs, we find that a large fraction of BCGs have extended stellar
envelopes in their outskirts; more luminous BCGs tend to have more extended
stellar halos that are likely connected with mergers. A comparison sample of
elliptical galaxies was chosen with similar apparent magnitude and redshift
ranges, for which the same photometric analysis procedure is applied. We find
that BCGs have steeper size-luminosity ($R \propto L^\alpha$) and Faber-Jackson
($L \propto \sigma^\beta$) relations than the bulk of early type galaxies.
Furthermore, the power-law indices ($\alpha$ and $\beta$) in these relations
increase as the isophotal limits become deeper. For isophotal limits from 22 to
25 $\magsec$, BCGs are usually larger than the bulk of early type galaxies, and
a large fraction ($\sim 49%$) of BCGs have disky isophotal shapes. The
differences in the scaling relations are consistent with a scenario where the
dynamical structure and formation route of BCGs may be different from the bulk
of early type galaxies, in particular dry (dissipationless) mergers may play a
more important role in their formation; we highlight several possible dry
merger candidates in our sample.
| astro-ph | we investigate the photometric properties of the early type brightest cluster galaxies bcgs using a carefully selected sample of 85 bcgs from the c4 cluster catalogue with redshift less than 01 we perform accurate background subtractions and surface photometry for these bcgs to 25 magsec in the sloan rband by quantitatively analysing the gradient of the petrosian profiles of bcgs we find that a large fraction of bcgs have extended stellar envelopes in their outskirts more luminous bcgs tend to have more extended stellar halos that are likely connected with mergers a comparison sample of elliptical galaxies was chosen with similar apparent magnitude and redshift ranges for which the same photometric analysis procedure is applied we find that bcgs have steeper sizeluminosity r propto lalpha and faberjackson l propto sigmabeta relations than the bulk of early type galaxies furthermore the powerlaw indices alpha and beta in these relations increase as the isophotal limits become deeper for isophotal limits from 22 to 25 magsec bcgs are usually larger than the bulk of early type galaxies and a large fraction sim 49 of bcgs have disky isophotal shapes the differences in the scaling relations are consistent with a scenario where the dynamical structure and formation route of bcgs may be different from the bulk of early type galaxies in particular dry dissipationless mergers may play a more important role in their formation we highlight several possible dry merger candidates in our sample | [['we', 'investigate', 'the', 'photometric', 'properties', 'of', 'the', 'early', 'type', 'brightest', 'cluster', 'galaxies', 'bcgs', 'using', 'a', 'carefully', 'selected', 'sample', 'of', '85', 'bcgs', 'from', 'the', 'c4', 'cluster', 'catalogue', 'with', 'redshift', 'less', 'than', '01', 'we', 'perform', 'accurate', 'background', 'subtractions', 'and', 'surface', 'photometry', 'for', 'these', 'bcgs', 'to', '25', 'magsec', 'in', 'the', 'sloan', 'rband', 'by', 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712.0928 | Galois actions on homotopy groups | We study the Galois actions on the l-adic schematic and Artin-Mazur homotopy
groups of algebraic varieties. For proper varieties of good reduction over a
local field K, we show that the l-adic schematic homotopy groups are mixed
representations explicitly determined by the Galois action on cohomology of
Weil sheaves, whenever l is not equal to the residue characteristic p of K. For
quasi-projective varieties of good reduction, there is a similar
characterisation involving the Gysin spectral sequence. When l=p, a slightly
weaker result is proved by comparing the crystalline and p-adic schematic
homotopy types. Under favourable conditions, a comparison theorem transfers all
these descriptions to the Artin-Mazur homotopy groups.
| math.AG math.AT math.NT | we study the galois actions on the ladic schematic and artinmazur homotopy groups of algebraic varieties for proper varieties of good reduction over a local field k we show that the ladic schematic homotopy groups are mixed representations explicitly determined by the galois action on cohomology of weil sheaves whenever l is not equal to the residue characteristic p of k for quasiprojective varieties of good reduction there is a similar characterisation involving the gysin spectral sequence when lp a slightly weaker result is proved by comparing the crystalline and padic schematic homotopy types under favourable conditions a comparison theorem transfers all these descriptions to the artinmazur homotopy groups | [['we', 'study', 'the', 'galois', 'actions', 'on', 'the', 'ladic', 'schematic', 'and', 'artinmazur', 'homotopy', 'groups', 'of', 'algebraic', 'varieties', 'for', 'proper', 'varieties', 'of', 'good', 'reduction', 'over', 'a', 'local', 'field', 'k', 'we', 'show', 'that', 'the', 'ladic', 'schematic', 'homotopy', 'groups', 'are', 'mixed', 'representations', 'explicitly', 'determined', 'by', 'the', 'galois', 'action', 'on', 'cohomology', 'of', 'weil', 'sheaves', 'whenever', 'l', 'is', 'not', 'equal', 'to', 'the', 'residue', 'characteristic', 'p', 'of', 'k', 'for', 'quasiprojective', 'varieties', 'of', 'good', 'reduction', 'there', 'is', 'a', 'similar', 'characterisation', 'involving', 'the', 'gysin', 'spectral', 'sequence', 'when', 'lp', 'a', 'slightly', 'weaker', 'result', 'is', 'proved', 'by', 'comparing', 'the', 'crystalline', 'and', 'padic', 'schematic', 'homotopy', 'types', 'under', 'favourable', 'conditions', 'a', 'comparison', 'theorem', 'transfers', 'all', 'these', 'descriptions', 'to', 'the', 'artinmazur', 'homotopy', 'groups']] | [-0.21085382145274123, 0.05081528737508786, -0.17092045708858503, 0.1405994925293388, -0.10400518975989602, -0.1519369696685617, 0.023541413707906432, 0.33465342220226557, -0.345979596146408, -0.21546601651048441, 0.028985310721834866, -0.15767788145383563, -0.10655191644744247, 0.22625641676024832, -0.19345962726980995, -0.06595621794919321, 0.03467734266123777, 0.12385738071549786, -0.0962145772672882, -0.3400825359644966, 0.4468296850612814, -0.08609881378077996, 0.2423610694493101, 0.01670454997609908, 0.08113506542723797, 0.03132311905330525, 0.004840210562896565, -0.03540692725346996, -0.1540649790990881, 0.1340242496193942, 0.3889508110325818, 0.009036608745232908, 0.18571146888393533, -0.36559756812767696, -0.13052159989329584, 0.22240426591298448, 0.09093607761982589, 0.012530650379597594, 0.021136333582786108, -0.27805917809819886, 0.18794182617187397, -0.15434584066318774, -0.09927377906209285, -0.1322985870951633, 0.08028541112835562, 0.057049924498124883, -0.22031268331760523, -0.05544290577281489, 0.09648415598796185, 0.27169273896228285, -0.14017271568439046, -0.14308704874465464, -0.05949796003571481, 0.05587751837367183, -0.009852216946422507, 0.04014172858490241, 0.13526127727514287, -0.10614846422072124, -0.09072414401185981, 0.3902304219680095, -0.06760617292169994, -0.1592738649056511, 0.1695590536067382, -0.13479608571618248, -0.18544203750874608, 0.20765710980076035, -0.026139395140589924, 0.17724535074683095, 0.027194020361185647, 0.1676126842893267, -0.15116707030512871, 0.08913268244060593, 0.12115208230006995, -0.02779453795898808, 0.10531940093582257, 0.06400519364765513, 0.06715077434350318, 0.08866666665796293, 0.03575626958520451, -0.05417110691906525, -0.36241602625723485, -0.18081832261021258, -0.07351806181495787, 0.14250829087267522, -0.12836744558517907, -0.1326070863458781, 0.39827451570420913, 0.042872345933707756, 0.14473658138640447, 0.18813909391590625, 0.23575828914795446, 0.04442260332337213, 0.057628531769396515, -0.015601969200160798, 0.09997224916251155, 0.2966657949978947, -0.07614740727302713, -0.14457132751463886, -0.02045111230429296, 0.2574938573199538] |
712.0929 | Precision Electroweak Measurements and Constraints on the Standard Model | This note presents constraints on Standard Model parameters using published
and preliminary precision electroweak results measured at the electron-positron
colliders LEP and SLC. The results are compared with precise electroweak
measurements from other experiments, notably CDF and D{\O}at the Tevatron.
Constraints on the input parameters of the Standard Model are derived from the
results obtained in high-$Q^2$ interactions, and used to predict results in
low-$Q^2$ experiments, such as atomic parity violation, M{\o}ller scattering,
and neutrino-nucleon scattering.
| hep-ex | this note presents constraints on standard model parameters using published and preliminary precision electroweak results measured at the electronpositron colliders lep and slc the results are compared with precise electroweak measurements from other experiments notably cdf and doat the tevatron constraints on the input parameters of the standard model are derived from the results obtained in highq2 interactions and used to predict results in lowq2 experiments such as atomic parity violation moller scattering and neutrinonucleon scattering | [['this', 'note', 'presents', 'constraints', 'on', 'standard', 'model', 'parameters', 'using', 'published', 'and', 'preliminary', 'precision', 'electroweak', 'results', 'measured', 'at', 'the', 'electronpositron', 'colliders', 'lep', 'and', 'slc', 'the', 'results', 'are', 'compared', 'with', 'precise', 'electroweak', 'measurements', 'from', 'other', 'experiments', 'notably', 'cdf', 'and', 'doat', 'the', 'tevatron', 'constraints', 'on', 'the', 'input', 'parameters', 'of', 'the', 'standard', 'model', 'are', 'derived', 'from', 'the', 'results', 'obtained', 'in', 'highq2', 'interactions', 'and', 'used', 'to', 'predict', 'results', 'in', 'lowq2', 'experiments', 'such', 'as', 'atomic', 'parity', 'violation', 'moller', 'scattering', 'and', 'neutrinonucleon', 'scattering']] | [0.007099389662279894, 0.14360868399595156, -0.06253010332415886, 0.1283042057536812, -0.061922847844758315, -0.14521964386987843, 0.044360416482576465, 0.31558334540673777, -0.21190966809732154, -0.34566153630026075, 0.01426167061589168, -0.3798739308932502, -0.011928090482558074, 0.2433383405380147, 0.07632729957051772, 0.1838461879309953, 0.14399825177755893, -0.009536142215916985, -0.10033260252155167, -0.26364413756681115, 0.2538349835667759, 0.11175230292505339, 0.2585808710734311, 0.13308013218920678, 0.05389196015159158, 0.043420507091612215, -0.10664264163566067, -0.024177822174112264, -0.15835727917300046, 0.09574626128826487, 0.22512895967405425, 0.1298357620467677, 0.005455222581268141, -0.4315214189210613, -0.11183943052310497, 0.05760435220834456, 0.06561891355943915, 0.13856622761752652, -0.07691801612351187, -0.3824687061929389, 0.034508052876366206, -0.17453202235169316, -0.07358400643754162, -0.08655296337153566, -0.09505564626306295, -0.004848822222189291, -0.3880658340885451, 0.07122276917308275, -0.0603318766960384, 0.06729727441837129, -0.0459216607483349, -0.23851258949970974, -0.01509695562019356, 0.03108639248009575, 0.11649366538959409, 0.036119249015188724, 0.15485749403504948, -0.1704983529542867, -0.22429642995427312, 0.4038705782425639, -0.10688818467927999, -0.13149333488361567, 0.19894611612758845, -0.20797013934995784, -0.15592475668649727, 0.060571013974319944, 0.21257561891903415, 0.025637573697359153, -0.15429353913733443, 0.155163051421895, -0.04892099353386775, 0.14884486679281844, 0.0712195920794712, 0.06339544512478537, 0.13675986080871602, 0.1844156827198611, -0.034450708851708395, 0.0022989502781695734, -0.11947508316217481, -0.04043276574903805, -0.4351173529254371, -0.010716764109307214, -0.0935082043104462, -0.023805934911299693, -0.03256425136408468, 0.013044201511595594, 0.31333743463466435, 0.1862648530544615, 0.2804027526443334, 0.06273367034124308, 0.36431215694909425, 0.082749586702496, 0.07960028152324651, -0.020327395232590407, 0.37198516356415656, 0.10187794769329853, 0.12977716246218493, -0.22674051527007433, 0.07906343609609298, 0.03696315385107147] |
712.093 | Shot noise and tunnel magnetoresistance in multilevel quantum dots:
Effects of cotunneling | Spin-dependent transport through a multilevel quantum dot weakly coupled to
ferromagnetic leads is analyzed theoretically by means of the real-time
diagrammatic technique. Both the sequential and cotunneling processes are taken
into account, which makes the results on tunnel magnetoresistance (TMR) and
shot noise applicable in the whole range of relevant bias and gate voltages.
Suppression of the TMR due to inelastic cotunneling and super-Poissonian shot
noise have been found in some of the Coulomb blockade regions. Furthermore, in
the Coulomb blockade regime there is an additional contribution to the noise
due to bunching of cotunneling processes involving the spin-majority electrons.
On the other hand, in the sequential tunneling regime TMR oscillates with the
bias voltage, while the current noise is generally sub-Poissonian.
| cond-mat.mes-hall | spindependent transport through a multilevel quantum dot weakly coupled to ferromagnetic leads is analyzed theoretically by means of the realtime diagrammatic technique both the sequential and cotunneling processes are taken into account which makes the results on tunnel magnetoresistance tmr and shot noise applicable in the whole range of relevant bias and gate voltages suppression of the tmr due to inelastic cotunneling and superpoissonian shot noise have been found in some of the coulomb blockade regions furthermore in the coulomb blockade regime there is an additional contribution to the noise due to bunching of cotunneling processes involving the spinmajority electrons on the other hand in the sequential tunneling regime tmr oscillates with the bias voltage while the current noise is generally subpoissonian | [['spindependent', 'transport', 'through', 'a', 'multilevel', 'quantum', 'dot', 'weakly', 'coupled', 'to', 'ferromagnetic', 'leads', 'is', 'analyzed', 'theoretically', 'by', 'means', 'of', 'the', 'realtime', 'diagrammatic', 'technique', 'both', 'the', 'sequential', 'and', 'cotunneling', 'processes', 'are', 'taken', 'into', 'account', 'which', 'makes', 'the', 'results', 'on', 'tunnel', 'magnetoresistance', 'tmr', 'and', 'shot', 'noise', 'applicable', 'in', 'the', 'whole', 'range', 'of', 'relevant', 'bias', 'and', 'gate', 'voltages', 'suppression', 'of', 'the', 'tmr', 'due', 'to', 'inelastic', 'cotunneling', 'and', 'superpoissonian', 'shot', 'noise', 'have', 'been', 'found', 'in', 'some', 'of', 'the', 'coulomb', 'blockade', 'regions', 'furthermore', 'in', 'the', 'coulomb', 'blockade', 'regime', 'there', 'is', 'an', 'additional', 'contribution', 'to', 'the', 'noise', 'due', 'to', 'bunching', 'of', 'cotunneling', 'processes', 'involving', 'the', 'spinmajority', 'electrons', 'on', 'the', 'other', 'hand', 'in', 'the', 'sequential', 'tunneling', 'regime', 'tmr', 'oscillates', 'with', 'the', 'bias', 'voltage', 'while', 'the', 'current', 'noise', 'is', 'generally', 'subpoissonian']] | [-0.1800708336153041, 0.16798080892607925, -0.0334880448454136, 0.09748456128548495, 0.0034438012030403144, -0.22534346194617205, 0.09722508409071988, 0.3737733903966966, -0.2866696228471691, -0.28181290954015537, -0.06298543943748733, -0.3033626935383702, -0.1283085642947403, 0.25692117718414814, -0.03674374697119242, 0.009708192176567237, 0.03999016198833458, -0.04852378943965572, 0.020447856629721546, -0.2548532520180385, 0.3002067485358566, 0.038236077247973774, 0.33468391848575385, 0.12766177003409285, 0.08268409351757193, 0.05948775477676851, 0.0699703984619042, 0.040961970995012364, -0.057526153993227934, -0.02135726565983696, 0.25308643323063973, -0.139873852268182, 0.23255573117678038, -0.4556451180003217, -0.14241667948787284, 0.018454238390702694, 0.16511735539562755, 0.1636566271648559, -0.025725888602672237, -0.31506231671474016, -0.009104012175783759, -0.14876698001791708, 0.011266353677530757, -0.10839853781183846, -0.03285962497227688, 0.028506321412202003, -0.30874824519345506, 0.15375822019900698, 0.08097713805313345, -0.01608952760818552, 0.0373541454166235, -0.09496904021419096, 0.007458957721341829, 0.07184689861868286, 0.024764156608353752, -0.029076619276044068, 0.24714642894248187, -0.16938116101807624, -0.1430964171924613, 0.27323013398277224, -0.05174233903345026, -0.12625079168880846, 0.1636185706020562, -0.22571375795265997, -0.03659225084635689, 0.19570583969232488, 0.0894224875698202, 0.07729968079556634, -0.2188653334150793, 0.11751673707249956, 0.08753028687196554, 0.1446486937328715, 0.06801350746441205, 0.10316532928988979, 0.19991378393787584, 0.210872766203018, 0.07582190172693341, 0.15457925192303726, -0.20332523450240125, -0.09954019934969542, -0.25770664475400185, -0.07485126807415461, -0.15982617810368538, 0.10022950462508397, -0.027899860246507757, -0.19048488984403553, 0.3780925832598157, 0.2193849019202419, 0.2057675445398896, -0.04572372731932088, 0.3624608351497865, 0.2448063198640202, 0.07963557453200099, -0.03863895645178568, 0.22856417392904405, 0.21333336110463458, 0.1267917091065071, -0.3423414820801375, 0.09393566670506949, -0.07190239720321337] |
712.0931 | Energy Level Lifetimes in the Single-Molecule Magnet Fe_8 : Experiments
and Simulations | We present pump-probe measurements on the single-molecule magnet Fe_8 with
microwave pulses having a length of several nanoseconds. The microwave
radiation in the experiments is located in the frequency range between 104 GHz
and 118 GHz. The dynamics of the magnetization of the single Fe_8 crystal is
measured using micrometer-sized Hall sensors. This technique allows us to
determine the level lifetimes of excited spin states, that are found to be in
good agreement with theoretical calculations. The theory, to which we compare
our experimental results, is based on a general spin-phonon coupling formalism,
which involves spin transitions between nearest and next-nearest energy levels.
We show that good agreement between theory and experiments is only obtained
when using both the Delta m_S = +-1 transition as well as Delta m_S = +-2,
where Delta m_S designates a change in the spin quantum number m_S. Temperature
dependent studies of the level lifetimes of several spin states allow us
finally to determine experimentally the spin-phonon coupling constants.
| cond-mat.mes-hall | we present pumpprobe measurements on the singlemolecule magnet fe_8 with microwave pulses having a length of several nanoseconds the microwave radiation in the experiments is located in the frequency range between 104 ghz and 118 ghz the dynamics of the magnetization of the single fe_8 crystal is measured using micrometersized hall sensors this technique allows us to determine the level lifetimes of excited spin states that are found to be in good agreement with theoretical calculations the theory to which we compare our experimental results is based on a general spinphonon coupling formalism which involves spin transitions between nearest and nextnearest energy levels we show that good agreement between theory and experiments is only obtained when using both the delta m_s 1 transition as well as delta m_s 2 where delta m_s designates a change in the spin quantum number m_s temperature dependent studies of the level lifetimes of several spin states allow us finally to determine experimentally the spinphonon coupling constants | [['we', 'present', 'pumpprobe', 'measurements', 'on', 'the', 'singlemolecule', 'magnet', 'fe_8', 'with', 'microwave', 'pulses', 'having', 'a', 'length', 'of', 'several', 'nanoseconds', 'the', 'microwave', 'radiation', 'in', 'the', 'experiments', 'is', 'located', 'in', 'the', 'frequency', 'range', 'between', '104', 'ghz', 'and', '118', 'ghz', 'the', 'dynamics', 'of', 'the', 'magnetization', 'of', 'the', 'single', 'fe_8', 'crystal', 'is', 'measured', 'using', 'micrometersized', 'hall', 'sensors', 'this', 'technique', 'allows', 'us', 'to', 'determine', 'the', 'level', 'lifetimes', 'of', 'excited', 'spin', 'states', 'that', 'are', 'found', 'to', 'be', 'in', 'good', 'agreement', 'with', 'theoretical', 'calculations', 'the', 'theory', 'to', 'which', 'we', 'compare', 'our', 'experimental', 'results', 'is', 'based', 'on', 'a', 'general', 'spinphonon', 'coupling', 'formalism', 'which', 'involves', 'spin', 'transitions', 'between', 'nearest', 'and', 'nextnearest', 'energy', 'levels', 'we', 'show', 'that', 'good', 'agreement', 'between', 'theory', 'and', 'experiments', 'is', 'only', 'obtained', 'when', 'using', 'both', 'the', 'delta', 'm_s', '1', 'transition', 'as', 'well', 'as', 'delta', 'm_s', '2', 'where', 'delta', 'm_s', 'designates', 'a', 'change', 'in', 'the', 'spin', 'quantum', 'number', 'm_s', 'temperature', 'dependent', 'studies', 'of', 'the', 'level', 'lifetimes', 'of', 'several', 'spin', 'states', 'allow', 'us', 'finally', 'to', 'determine', 'experimentally', 'the', 'spinphonon', 'coupling', 'constants']] | [-0.15154541820218717, 0.2235432816295666, -0.011653812479279522, 0.013349655440025445, -0.021565314698504444, -0.13433441489555495, 0.090551964807853, 0.3939083693606526, -0.2072641904362374, -0.3410294311535027, 0.013281475146082633, -0.3052815327171652, -0.06450135705210729, 0.24262460503859423, 0.08172952241399382, 0.014199381918404941, 0.00964837608446459, 0.006793635631451544, -0.07628282810630346, -0.147217400363405, 0.2203272101469338, 0.05734539729037127, 0.2772894869903447, 0.1066842723471101, 0.08111473640001575, -0.019199013355027102, 0.08549543913528553, -0.014626629121693564, -0.1819365748861283, 0.06493011462706268, 0.2594366990989879, -0.014154737271989385, 0.17276307121839052, -0.4296854285546291, -0.16518162760918062, 0.04629204717585472, 0.08896192864164204, 0.1486288073234099, -0.006474761247784359, -0.27352939183352354, 0.05250172187390243, -0.13808289298465776, -0.11528413870406372, -0.1012402738043521, -0.007037613319554999, 0.005441625545054306, -0.2816544151175077, 0.11896407036800627, -0.024537911017017185, 0.06455721249217333, -0.05379974683437692, -0.12275383736647918, -0.03564941958110365, 0.10060241268168026, 0.021080676285136078, 0.05878024131676217, 0.15282718583447052, -0.05529009292827758, -0.15429720958050938, 0.3434125993481297, -0.0968726590555305, -0.1269405609353181, 0.15961716548154523, -0.21875028101221464, -0.11587379317167272, 0.10059163962019446, 0.0984441012968338, 0.11699973479672163, -0.11416966569968169, 0.06611060708032541, -0.012581359754592457, 0.252808123803985, 0.06761345780241866, 0.07177908611755149, 0.21352062192688018, 0.18817744102619335, 0.002195479651556615, 0.1087247946811265, -0.15224622599033202, -0.09324237832621338, -0.2737453975772232, -0.0976093126485208, -0.22334051078737335, 0.08528145184211525, -0.08733901452752087, -0.08383821605497764, 0.4022768024861077, 0.18064618657952475, 0.22266822346819587, 0.012427924863453725, 0.2700283172278791, 0.10549884478498342, 0.052744797727001115, 0.01292195623556589, 0.28563345351865815, 0.21879073196553545, 0.08430827280325401, -0.3113975443447549, 0.014816391948656535, -0.041811761210592074] |
712.0932 | Dimensionality Reduction and Reconstruction using Mirroring Neural
Networks and Object Recognition based on Reduced Dimension Characteristic
Vector | In this paper, we present a Mirroring Neural Network architecture to perform
non-linear dimensionality reduction and Object Recognition using a reduced
lowdimensional characteristic vector. In addition to dimensionality reduction,
the network also reconstructs (mirrors) the original high-dimensional input
vector from the reduced low-dimensional data. The Mirroring Neural Network
architecture has more number of processing elements (adalines) in the outer
layers and the least number of elements in the central layer to form a
converging-diverging shape in its configuration. Since this network is able to
reconstruct the original image from the output of the innermost layer (which
contains all the information about the input pattern), these outputs can be
used as object signature to classify patterns. The network is trained to
minimize the discrepancy between actual output and the input by back
propagating the mean squared error from the output layer to the input layer.
After successfully training the network, it can reduce the dimension of input
vectors and mirror the patterns fed to it. The Mirroring Neural Network
architecture gave very good results on various test patterns.
| cs.CV cs.AI cs.NE | in this paper we present a mirroring neural network architecture to perform nonlinear dimensionality reduction and object recognition using a reduced lowdimensional characteristic vector in addition to dimensionality reduction the network also reconstructs mirrors the original highdimensional input vector from the reduced lowdimensional data the mirroring neural network architecture has more number of processing elements adalines in the outer layers and the least number of elements in the central layer to form a convergingdiverging shape in its configuration since this network is able to reconstruct the original image from the output of the innermost layer which contains all the information about the input pattern these outputs can be used as object signature to classify patterns the network is trained to minimize the discrepancy between actual output and the input by back propagating the mean squared error from the output layer to the input layer after successfully training the network it can reduce the dimension of input vectors and mirror the patterns fed to it the mirroring neural network architecture gave very good results on various test patterns | [['in', 'this', 'paper', 'we', 'present', 'a', 'mirroring', 'neural', 'network', 'architecture', 'to', 'perform', 'nonlinear', 'dimensionality', 'reduction', 'and', 'object', 'recognition', 'using', 'a', 'reduced', 'lowdimensional', 'characteristic', 'vector', 'in', 'addition', 'to', 'dimensionality', 'reduction', 'the', 'network', 'also', 'reconstructs', 'mirrors', 'the', 'original', 'highdimensional', 'input', 'vector', 'from', 'the', 'reduced', 'lowdimensional', 'data', 'the', 'mirroring', 'neural', 'network', 'architecture', 'has', 'more', 'number', 'of', 'processing', 'elements', 'adalines', 'in', 'the', 'outer', 'layers', 'and', 'the', 'least', 'number', 'of', 'elements', 'in', 'the', 'central', 'layer', 'to', 'form', 'a', 'convergingdiverging', 'shape', 'in', 'its', 'configuration', 'since', 'this', 'network', 'is', 'able', 'to', 'reconstruct', 'the', 'original', 'image', 'from', 'the', 'output', 'of', 'the', 'innermost', 'layer', 'which', 'contains', 'all', 'the', 'information', 'about', 'the', 'input', 'pattern', 'these', 'outputs', 'can', 'be', 'used', 'as', 'object', 'signature', 'to', 'classify', 'patterns', 'the', 'network', 'is', 'trained', 'to', 'minimize', 'the', 'discrepancy', 'between', 'actual', 'output', 'and', 'the', 'input', 'by', 'back', 'propagating', 'the', 'mean', 'squared', 'error', 'from', 'the', 'output', 'layer', 'to', 'the', 'input', 'layer', 'after', 'successfully', 'training', 'the', 'network', 'it', 'can', 'reduce', 'the', 'dimension', 'of', 'input', 'vectors', 'and', 'mirror', 'the', 'patterns', 'fed', 'to', 'it', 'the', 'mirroring', 'neural', 'network', 'architecture', 'gave', 'very', 'good', 'results', 'on', 'various', 'test', 'patterns']] | [-0.07071316269602076, 0.03928062444472082, -0.043718228307129306, 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0.1332385074836731, 0.1307198503034835, -0.1779292100386969, 0.09957946983525869, 0.09383208993742963] |
712.0933 | Proof of the Somos-4 Hankel Determinants Conjecture | By considering the fundamental equation $x=y-y^2=z-z^3$, Somos conjectured
that the Hankel determinants for the generating series $y(z)$ are the Somos-4
numbers. We prove this conjecture by using the quadratic transformation for
Hankel determinants of Sulanke and Xin.
| math.CO | by considering the fundamental equation xyy2zz3 somos conjectured that the hankel determinants for the generating series yz are the somos4 numbers we prove this conjecture by using the quadratic transformation for hankel determinants of sulanke and xin | [['by', 'considering', 'the', 'fundamental', 'equation', 'xyy2zz3', 'somos', 'conjectured', 'that', 'the', 'hankel', 'determinants', 'for', 'the', 'generating', 'series', 'yz', 'are', 'the', 'somos4', 'numbers', 'we', 'prove', 'this', 'conjecture', 'by', 'using', 'the', 'quadratic', 'transformation', 'for', 'hankel', 'determinants', 'of', 'sulanke', 'and', 'xin']] | [-0.21068345098238853, 0.09241923252638015, -0.01416798225707478, 0.13233828553347848, -0.005476598472644885, -0.08031066207008229, -0.007355595835381084, 0.26335195255362326, -0.34359183224538964, -0.1991631972293059, 0.12151195066204916, -0.3148556756722327, -0.26073344993508524, 0.20181568505035508, -0.018750266534172826, 0.09252168473580645, 0.03211927666173627, 0.020825804961431358, -0.12248338494423984, -0.3195787148757113, 0.3979063576294316, -0.05219822943521043, 0.1421705464211603, 0.04072012441853682, 0.12895368218111494, 0.03584368149555909, -0.005405976799213224, -0.13570417184382677, -0.10775114473755013, 0.130876705257429, 0.24843684125355342, 0.1721918677794747, 0.2743165267424451, -0.37122664642002845, -0.11723872367939395, 0.13892859518010583, 0.14763404885565656, -0.046433044519896306, -0.05060431090209426, -0.28265286004170775, 0.08583829905385049, -0.12265909235510561, -0.17675353255536821, -0.12333352284299003, 0.0705139151153465, 0.10868884969709648, -0.3203676547337737, 0.10612031594337168, 0.0823487179974715, 0.04921144067258057, -0.04306430918707823, -0.2000261156871501, -0.00040664834280808765, 0.07015228354268604, 0.061421408524943724, -0.01737777650770214, -0.07795105392061588, -0.04393243393214005, -0.08722240917591585, 0.33034744755261475, -0.035283232004278235, -0.22814820236009029, 0.0016358380930291282, -0.18138690719691417, -0.2035783865204495, 0.0948142450199359, 0.028654707595705986, 0.1388451630870501, -0.0892043004795495, 0.16366411913542026, -0.12929706130590704, 0.050191010581329465, 0.21619305440172967, -0.04348805084979782, 0.14326897631528684, -0.02164140519582563, -0.027519376870865624, 0.15724443768461546, 0.04491861026164972, -0.04256670818560653, -0.28399744958409834, -0.2119280328301506, -0.24758886131975386, 0.14413098161458038, -0.12803763213216574, -0.15866862046014932, 0.36102999100047684, 0.06278540905461544, 0.11698471040775378, 0.17643261111030975, 0.13487394165551653, 0.24012975824168986, 0.04737446548986352, 0.03169111410776774, 0.07603423794110616, 0.2200002688009085, 0.06291666456187765, -0.2028484968468547, 0.01243432033030937, 0.31759185364676845] |
712.0934 | The cycle problem: an intriguing periodicity to the zeros of the Riemann
zeta function | Summing the values of the real portion of the logarithmic integral of n^rho,
where rho is one of a consecutive series of zeros of the Riemann zeta function,
reveals an unexpected periodicity to the sum. This is the cycle problem.
| math.GM | summing the values of the real portion of the logarithmic integral of nrho where rho is one of a consecutive series of zeros of the riemann zeta function reveals an unexpected periodicity to the sum this is the cycle problem | [['summing', 'the', 'values', 'of', 'the', 'real', 'portion', 'of', 'the', 'logarithmic', 'integral', 'of', 'nrho', 'where', 'rho', 'is', 'one', 'of', 'a', 'consecutive', 'series', 'of', 'zeros', 'of', 'the', 'riemann', 'zeta', 'function', 'reveals', 'an', 'unexpected', 'periodicity', 'to', 'the', 'sum', 'this', 'is', 'the', 'cycle', 'problem']] | [-0.2759999447967857, 0.0544092111671489, -0.11969755506142973, 0.02555970234388951, -0.03820974215632304, -0.018163705838378518, 0.06494801529115649, 0.25912234557326885, -0.319270355720073, -0.2416655231965706, 0.07364672695402988, -0.31684539206326007, -0.17427794123650528, 0.1846764818765223, -0.018110378901474176, 0.04968028118928487, 0.022073466912843287, 0.12013045661151409, -0.07798904958181083, -0.30815982054919006, 0.35374930491670964, -0.023583159619010984, 0.14958444284275174, 0.08793135089799761, 0.10306299317162484, 0.04163117315620184, -0.033824062743224206, -0.07733095418661833, -0.05913089558598585, 0.1071126093127532, 0.20681734578683972, 0.06188329686410725, 0.2754585380200297, -0.3465328904800117, -0.15854307576082646, 0.16634322584141045, 0.1284235451836139, -0.08005772797623649, 0.11064692074432969, -0.18940906831994653, 0.08160581417614594, -0.0978523249272257, -0.15081336218863725, 0.019398264470510185, 0.09410160724073649, 0.03328802133910358, -0.31398393302224575, 0.11343774469569326, -0.006764195067808032, 0.08085573688149453, -0.05044859791523777, -0.1754665936343372, 0.03170724231749773, 0.1577351647661999, 0.14845342562766745, 0.07594836817588657, 0.056304412242025134, -0.13733124145655892, -0.06350831929594278, 0.31955642346292734, -0.06451580896391533, -0.15342778025660664, 0.07667974632931873, -0.23044962012208997, -0.11717605977319182, 0.21040688892826437, 0.03964285440742969, 0.15730959781212733, -0.059916168090421704, 0.10552210740279407, -0.11277638617902994, 0.16628904847893863, 0.12065054401755333, -0.029047846014145763, 0.20550122130662202, 0.10161128661129623, 0.06419612297322601, 0.2024934916640632, -0.09091737838461995, -0.09531287448480726, -0.37608849033713343, -0.22393540814518928, -0.24088116745115257, 0.10026225517503917, -0.15105983819812535, -0.2601801823358983, 0.4463915495231049, 0.025619834149256348, 0.26326131095411254, 0.09476779666729271, 0.2633901837281883, 0.22696944025810808, 0.07542545618780423, -0.00031007206998765466, 0.1351918133732397, 0.12639793966081925, 0.04082295959815383, -0.22946794347371907, 0.02908991971053183, 0.11246772659942508] |
712.0935 | Phonon-assisted resonant tunneling through a triple-quantum-dot: a
phonon-signal detector | We study the effect of electron-phonon interaction on current and
zero-frequency shot noise in resonant tunneling through a series
triple-quantum-dot coupling to a local phonon mode by means of a
nonperturbative mapping technique along with the Green function formulation. By
fixing the energy difference between the first two quantum dots to be equal to
phonon frequency and sweeping the level of the third quantum dot, we find a
largely enhanced current spectrum due to phonon effect, and in particular we
predict current peaks corresponding to phonon-absorption and -emission assisted
resonant tunneling processes, which shows that this system can be acted as a
sensitive phonon-signal detector or as a cascade phonon generator.
| cond-mat.mes-hall | we study the effect of electronphonon interaction on current and zerofrequency shot noise in resonant tunneling through a series triplequantumdot coupling to a local phonon mode by means of a nonperturbative mapping technique along with the green function formulation by fixing the energy difference between the first two quantum dots to be equal to phonon frequency and sweeping the level of the third quantum dot we find a largely enhanced current spectrum due to phonon effect and in particular we predict current peaks corresponding to phononabsorption and emission assisted resonant tunneling processes which shows that this system can be acted as a sensitive phononsignal detector or as a cascade phonon generator | [['we', 'study', 'the', 'effect', 'of', 'electronphonon', 'interaction', 'on', 'current', 'and', 'zerofrequency', 'shot', 'noise', 'in', 'resonant', 'tunneling', 'through', 'a', 'series', 'triplequantumdot', 'coupling', 'to', 'a', 'local', 'phonon', 'mode', 'by', 'means', 'of', 'a', 'nonperturbative', 'mapping', 'technique', 'along', 'with', 'the', 'green', 'function', 'formulation', 'by', 'fixing', 'the', 'energy', 'difference', 'between', 'the', 'first', 'two', 'quantum', 'dots', 'to', 'be', 'equal', 'to', 'phonon', 'frequency', 'and', 'sweeping', 'the', 'level', 'of', 'the', 'third', 'quantum', 'dot', 'we', 'find', 'a', 'largely', 'enhanced', 'current', 'spectrum', 'due', 'to', 'phonon', 'effect', 'and', 'in', 'particular', 'we', 'predict', 'current', 'peaks', 'corresponding', 'to', 'phononabsorption', 'and', 'emission', 'assisted', 'resonant', 'tunneling', 'processes', 'which', 'shows', 'that', 'this', 'system', 'can', 'be', 'acted', 'as', 'a', 'sensitive', 'phononsignal', 'detector', 'or', 'as', 'a', 'cascade', 'phonon', 'generator']] | [-0.14390661383668227, 0.16924579706312148, -0.07522456617513244, 0.03562637951135328, -0.0450722746697357, -0.1328825095343754, 0.09342357964220739, 0.37601400306875554, -0.30620265111258815, -0.2728220010945283, 0.01844569562438773, -0.2997804899281318, -0.14491379060440723, 0.21687145316717002, 0.03428894797459655, 0.007903534363647666, 0.03900755407852591, -0.017509435207386494, -0.007736100531140462, -0.13744631622396752, 0.32259696641714747, 0.07611573687669129, 0.2994034687535615, 0.10406861812679456, 0.0862186247944285, 0.037261840057508044, 0.03556430843923617, 0.009161508954001949, -0.09122875818392366, 0.061897006142166776, 0.21642564580222556, -0.04969062692477205, 0.24419718400207818, -0.4208987648299801, -0.18025244521019862, 0.04528314029849177, 0.16425716221426537, 0.15646880965598714, -0.01902421711145157, -0.2744489302260613, 0.03067767285152313, -0.17622016004602845, -0.06327314585994143, -0.03836680478800874, -0.025453417168913084, -0.0012899432694453985, -0.2849621259427946, 0.09657224307879123, 0.026910329522744435, 0.026168595192048255, -0.007348157711104926, -0.029555813383755333, -0.028985694488681376, 0.08395736539146838, 0.032927563960809224, 0.025739211472949663, 0.21264724136082405, -0.09677638088506775, -0.13201687358952033, 0.33414497195076576, -0.14487739319383347, -0.15373438730229275, 0.16421789013344898, -0.18482603386488802, -0.052665980972793944, 0.13928740258849814, 0.12696094891492174, 0.08702768476406506, -0.16165026437187857, 0.04602307423633105, 0.08381935251757093, 0.16056054123301366, 0.07445645150344032, 0.09809304503382209, 0.22528083840761026, 0.14319666207836376, 0.04716215641536844, 0.14870203206734306, -0.11183674136868789, -0.05588048097566454, -0.2716517164585514, -0.1402933730555852, -0.22422456474191885, 0.1107644510472518, -0.0038438113133952775, -0.1733134443521363, 0.43760978201096623, 0.1384559692216849, 0.20437946417497113, -0.020585574499126354, 0.3237789138262972, 0.2365971948084242, 0.08766785666235474, 0.011529618344449122, 0.25916940131472477, 0.1612739008274613, 0.04648052316603311, -0.3434115708335687, -0.013229638265462917, 0.0058886508773499675] |
712.0936 | Doping dependence of the vortex-core energy in bilayer films of cuprates | The energy needed to create a vortex core is the basic ingredient to address
the physics of thermal vortex fluctuations in underdoped cuprates. Here we
theoretically investigate its role on the occurrence of the
Beresinskii-Kosterlitz-Thouless transition in a bilayer film with
inhomogeneity. From the comparison with recent measurements of the penetration
depth in two-unit cell thin films of
Y$_{1-x}$Ca$_{x}$Ba$_{2}$Cu$_{3}$O$_{7-\d}$ (YBCO) by Hetel et al. [Nat. Phys.
3, 700 (2007)] we can extract the value of the vortex-core energy $\mu$, and
show that $\mu$ scales linearly with $T_c$ at low doping.
| cond-mat.supr-con cond-mat.str-el | the energy needed to create a vortex core is the basic ingredient to address the physics of thermal vortex fluctuations in underdoped cuprates here we theoretically investigate its role on the occurrence of the beresinskiikosterlitzthouless transition in a bilayer film with inhomogeneity from the comparison with recent measurements of the penetration depth in twounit cell thin films of y_1xca_xba_2cu_3o_7d ybco by hetel et al nat phys 3 700 2007 we can extract the value of the vortexcore energy mu and show that mu scales linearly with t_c at low doping | [['the', 'energy', 'needed', 'to', 'create', 'a', 'vortex', 'core', 'is', 'the', 'basic', 'ingredient', 'to', 'address', 'the', 'physics', 'of', 'thermal', 'vortex', 'fluctuations', 'in', 'underdoped', 'cuprates', 'here', 'we', 'theoretically', 'investigate', 'its', 'role', 'on', 'the', 'occurrence', 'of', 'the', 'beresinskiikosterlitzthouless', 'transition', 'in', 'a', 'bilayer', 'film', 'with', 'inhomogeneity', 'from', 'the', 'comparison', 'with', 'recent', 'measurements', 'of', 'the', 'penetration', 'depth', 'in', 'twounit', 'cell', 'thin', 'films', 'of', 'y_1xca_xba_2cu_3o_7d', 'ybco', 'by', 'hetel', 'et', 'al', 'nat', 'phys', '3', '700', '2007', 'we', 'can', 'extract', 'the', 'value', 'of', 'the', 'vortexcore', 'energy', 'mu', 'and', 'show', 'that', 'mu', 'scales', 'linearly', 'with', 't_c', 'at', 'low', 'doping']] | [-0.11374698565024036, 0.2084656000687656, -0.020801783751019022, -0.031887698255807416, -0.0234300413206008, -0.07676733224864372, 0.09287894211593084, 0.33753275442656805, -0.2408598527333445, -0.3347294686034068, 0.008234262520669621, -0.3114442948717624, -0.07984548343070359, 0.15947330895472656, -0.028154563407455993, 0.03960901286005868, -0.06298841201615604, -0.05972241869048131, -0.05695048200141173, -0.22232725022530014, 0.29498288842759474, 0.09519054886715655, 0.3587489029133311, 0.10799787849695845, 0.03609726668748243, -0.024794479707039005, 0.06515135269993069, 0.01992019380188801, -0.25778556036518485, 0.041170916133771905, 0.24516941587948662, -0.057833200558723714, 0.20317455175046978, -0.4522988347717645, -0.23927391653838145, 0.02225045870132321, 0.11026286295699803, 0.11841645342693399, -0.037293126834397713, -0.22750795391303572, 0.08973997657383072, -0.11075577576147308, -0.13452633108880202, -0.06284528974687088, 0.06472283586944369, 0.01577537708958103, -0.2580009628555589, 0.13433191736178493, 0.03888568800704723, 0.07823997941291468, -0.06050424750984265, -0.10681585845833813, -0.05904015533054586, 0.006287144883324138, 0.020546455124117943, 0.09456112734782933, 0.16503395114771344, -0.12138870649505407, -0.09652055691880047, 0.3255995516453616, -0.03654540448703549, -0.05110475065355951, 0.15657500480301678, -0.18278814446636138, -0.0628922290793112, 0.1287447185551917, 0.12050232332496141, 0.0707800681081029, -0.07469603044790513, 0.09540876770750567, -0.05618286374109713, 0.21049412311615676, 0.09864688925021751, 0.07329620772824538, 0.23764133764515546, 0.25447956212288275, -0.005101376816376366, 0.11078941776544195, -0.19143315889364618, -0.028203179158233317, -0.2404670418737541, -0.16556609262691133, -0.20513835524219426, 0.06700824752227742, -0.03721564681390274, -0.1529988165817816, 0.39353014093781397, 0.19745167632539629, 0.24569988752839642, -0.06186299735616723, 0.22708432968515394, 0.08201616214963989, 0.04081820753741671, 0.08708931688769636, 0.2602497921695679, 0.15812625783887183, 0.18312452744381022, -0.28724400750070345, 0.049251396067451096, 0.008014061583460054] |
712.0937 | GRB neutrinos, Lorenz Invariance Violation and the influence of
background cosmology | Modern ideas in quantum gravity predict the possibility of Lorenz Invariance
Violation (LIV) manifested e.g. by energy dependent modification of standard
relativistic dispersion relation. In a recent paper Jacob and Piran proposed
that time of flight delays in high energy neutrinos emitted by gamma ray bursts
(GRBs) located at cosmological distances can become a valuable tool for setting
limits on LIV theories. However, current advances in observational cosmology
suggest that our Universe is dominated by dark energy with relatively little
guidance on its nature thus leading to several cosmological scenarios
compatible with observations.
In this paper we raise the issue of how important, in the context of testing
LIV theories, is our knowledge of background cosmological model. Specifically
we calculate expected time lags for high-energy (100 TeV) neutrinos in
different cosmological models. Out of many particular models of dark energy we
focus on five: $\Lambda$CDM, quintessence, quintessence with time varying
equation of state, brane-world and generalized Chaplygin gas model as
representative for various competing approaches. The result is that uncertainty
introduced by our ignorance concerning the right phenomenological model
describing dark energy dominated universe is considerable and may obscure
bounds derived from studying time delays from cosmological sources.
| astro-ph | modern ideas in quantum gravity predict the possibility of lorenz invariance violation liv manifested eg by energy dependent modification of standard relativistic dispersion relation in a recent paper jacob and piran proposed that time of flight delays in high energy neutrinos emitted by gamma ray bursts grbs located at cosmological distances can become a valuable tool for setting limits on liv theories however current advances in observational cosmology suggest that our universe is dominated by dark energy with relatively little guidance on its nature thus leading to several cosmological scenarios compatible with observations in this paper we raise the issue of how important in the context of testing liv theories is our knowledge of background cosmological model specifically we calculate expected time lags for highenergy 100 tev neutrinos in different cosmological models out of many particular models of dark energy we focus on five lambdacdm quintessence quintessence with time varying equation of state braneworld and generalized chaplygin gas model as representative for various competing approaches the result is that uncertainty introduced by our ignorance concerning the right phenomenological model describing dark energy dominated universe is considerable and may obscure bounds derived from studying time delays from cosmological sources | [['modern', 'ideas', 'in', 'quantum', 'gravity', 'predict', 'the', 'possibility', 'of', 'lorenz', 'invariance', 'violation', 'liv', 'manifested', 'eg', 'by', 'energy', 'dependent', 'modification', 'of', 'standard', 'relativistic', 'dispersion', 'relation', 'in', 'a', 'recent', 'paper', 'jacob', 'and', 'piran', 'proposed', 'that', 'time', 'of', 'flight', 'delays', 'in', 'high', 'energy', 'neutrinos', 'emitted', 'by', 'gamma', 'ray', 'bursts', 'grbs', 'located', 'at', 'cosmological', 'distances', 'can', 'become', 'a', 'valuable', 'tool', 'for', 'setting', 'limits', 'on', 'liv', 'theories', 'however', 'current', 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712.0938 | Automatic Pattern Classification by Unsupervised Learning Using
Dimensionality Reduction of Data with Mirroring Neural Networks | This paper proposes an unsupervised learning technique by using Multi-layer
Mirroring Neural Network and Forgy's clustering algorithm. Multi-layer
Mirroring Neural Network is a neural network that can be trained with
generalized data inputs (different categories of image patterns) to perform
non-linear dimensionality reduction and the resultant low-dimensional code is
used for unsupervised pattern classification using Forgy's algorithm. By
adapting the non-linear activation function (modified sigmoidal function) and
initializing the weights and bias terms to small random values, mirroring of
the input pattern is initiated. In training, the weights and bias terms are
changed in such a way that the input presented is reproduced at the output by
back propagating the error. The mirroring neural network is capable of reducing
the input vector to a great degree (approximately 1/30th the original size) and
also able to reconstruct the input pattern at the output layer from this
reduced code units. The feature set (output of central hidden layer) extracted
from this network is fed to Forgy's algorithm, which classify input data
patterns into distinguishable classes. In the implementation of Forgy's
algorithm, initial seed points are selected in such a way that they are distant
enough to be perfectly grouped into different categories. Thus a new method of
unsupervised learning is formulated and demonstrated in this paper. This method
gave impressive results when applied to classification of different image
patterns.
| cs.LG cs.AI cs.NE | this paper proposes an unsupervised learning technique by using multilayer mirroring neural network and forgys clustering algorithm multilayer mirroring neural network is a neural network that can be trained with generalized data inputs different categories of image patterns to perform nonlinear dimensionality reduction and the resultant lowdimensional code is used for unsupervised pattern classification using forgys algorithm by adapting the nonlinear activation function modified sigmoidal function and initializing the weights and bias terms to small random values mirroring of the input pattern is initiated in training the weights and bias terms are changed in such a way that the input presented is reproduced at the output by back propagating the error the mirroring neural network is capable of reducing the input vector to a great degree approximately 130th the original size and also able to reconstruct the input pattern at the output layer from this reduced code units the feature set output of central hidden layer extracted from this network is fed to forgys algorithm which classify input data patterns into distinguishable classes in the implementation of forgys algorithm initial seed points are selected in such a way that they are distant enough to be perfectly grouped into different categories thus a new method of unsupervised learning is formulated and demonstrated in this paper this method gave impressive results when applied to classification of different image patterns | [['this', 'paper', 'proposes', 'an', 'unsupervised', 'learning', 'technique', 'by', 'using', 'multilayer', 'mirroring', 'neural', 'network', 'and', 'forgys', 'clustering', 'algorithm', 'multilayer', 'mirroring', 'neural', 'network', 'is', 'a', 'neural', 'network', 'that', 'can', 'be', 'trained', 'with', 'generalized', 'data', 'inputs', 'different', 'categories', 'of', 'image', 'patterns', 'to', 'perform', 'nonlinear', 'dimensionality', 'reduction', 'and', 'the', 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712.0939 | Spatial aggregation of local likelihood estimates with applications to
classification | This paper presents a new method for spatially adaptive local (constant)
likelihood estimation which applies to a broad class of nonparametric models,
including the Gaussian, Poisson and binary response models. The main idea of
the method is, given a sequence of local likelihood estimates (``weak''
estimates), to construct a new aggregated estimate whose pointwise risk is of
order of the smallest risk among all ``weak'' estimates. We also propose a new
approach toward selecting the parameters of the procedure by providing the
prescribed behavior of the resulting estimate in the simple parametric
situation. We establish a number of important theoretical results concerning
the optimality of the aggregated estimate. In particular, our ``oracle'' result
claims that its risk is, up to some logarithmic multiplier, equal to the
smallest risk for the given family of estimates. The performance of the
procedure is illustrated by application to the classification problem. A
numerical study demonstrates its reasonable performance in simulated and
real-life examples.
| math.ST stat.TH | this paper presents a new method for spatially adaptive local constant likelihood estimation which applies to a broad class of nonparametric models including the gaussian poisson and binary response models the main idea of the method is given a sequence of local likelihood estimates weak estimates to construct a new aggregated estimate whose pointwise risk is of order of the smallest risk among all weak estimates we also propose a new approach toward selecting the parameters of the procedure by providing the prescribed behavior of the resulting estimate in the simple parametric situation we establish a number of important theoretical results concerning the optimality of the aggregated estimate in particular our oracle result claims that its risk is up to some logarithmic multiplier equal to the smallest risk for the given family of estimates the performance of the procedure is illustrated by application to the classification problem a numerical study demonstrates its reasonable performance in simulated and reallife examples | [['this', 'paper', 'presents', 'a', 'new', 'method', 'for', 'spatially', 'adaptive', 'local', 'constant', 'likelihood', 'estimation', 'which', 'applies', 'to', 'a', 'broad', 'class', 'of', 'nonparametric', 'models', 'including', 'the', 'gaussian', 'poisson', 'and', 'binary', 'response', 'models', 'the', 'main', 'idea', 'of', 'the', 'method', 'is', 'given', 'a', 'sequence', 'of', 'local', 'likelihood', 'estimates', 'weak', 'estimates', 'to', 'construct', 'a', 'new', 'aggregated', 'estimate', 'whose', 'pointwise', 'risk', 'is', 'of', 'order', 'of', 'the', 'smallest', 'risk', 'among', 'all', 'weak', 'estimates', 'we', 'also', 'propose', 'a', 'new', 'approach', 'toward', 'selecting', 'the', 'parameters', 'of', 'the', 'procedure', 'by', 'providing', 'the', 'prescribed', 'behavior', 'of', 'the', 'resulting', 'estimate', 'in', 'the', 'simple', 'parametric', 'situation', 'we', 'establish', 'a', 'number', 'of', 'important', 'theoretical', 'results', 'concerning', 'the', 'optimality', 'of', 'the', 'aggregated', 'estimate', 'in', 'particular', 'our', 'oracle', 'result', 'claims', 'that', 'its', 'risk', 'is', 'up', 'to', 'some', 'logarithmic', 'multiplier', 'equal', 'to', 'the', 'smallest', 'risk', 'for', 'the', 'given', 'family', 'of', 'estimates', 'the', 'performance', 'of', 'the', 'procedure', 'is', 'illustrated', 'by', 'application', 'to', 'the', 'classification', 'problem', 'a', 'numerical', 'study', 'demonstrates', 'its', 'reasonable', 'performance', 'in', 'simulated', 'and', 'reallife', 'examples']] | [-0.07899557484852725, -0.00994790701265886, -0.08044081158444004, 0.09205291075075525, -0.0752606940039861, -0.12019740779292565, 0.09129122727270145, 0.3469328724269597, -0.26146150696085496, -0.30187338271395026, 0.12626391187319005, -0.23316479493049705, -0.16553009279129394, 0.23629309984404337, -0.12381441012587187, 0.09921315241511325, 0.05288129208504029, 0.055519343034581004, -0.07036844323866608, -0.2792117768091753, 0.32491077256019946, 0.06735921815131446, 0.27781124658437456, 0.0174984791925259, 0.10913836541614912, -0.010194988098323532, -0.06177497551770612, 0.01262261534004279, -0.16114156999876583, 0.20158051106267544, 0.22862604176304369, 0.14215990940823495, 0.38129920275799883, -0.3257320394165486, -0.1917046338624362, 0.1378051273864489, 0.08550979098035667, 0.0939581986485963, -0.048109674887766816, -0.2687041759176133, 0.1061283243269478, -0.1650862837856073, -0.16564110340257673, -0.08374020143898216, -0.04869269654916236, 0.04619773481708934, -0.3482430721018112, 0.09208479639762901, 0.07685098237410751, 0.026535610920228297, -0.07540209428992989, -0.11100994926180292, 0.03523674152891076, 0.11874301127837561, 0.07802312278464062, -0.010457358974670558, 0.09211115079270031, -0.10854639617415766, -0.10540958230951859, 0.32599600666984563, -0.07381225001936743, -0.19705624238707992, 0.16239058414075827, -0.10396087977964923, -0.13017736240905128, 0.12613636147488588, 0.20122307833612152, 0.13222378965045484, -0.18784538483973476, 0.05053454162714031, -0.07122326680347792, 0.12433529283804526, 0.0013182719747694034, -0.002651532148391758, 0.1330615517627682, 0.1817048040025358, 0.11916423832365083, 0.17623440587582687, -0.10117238651047337, -0.0823540385671944, -0.3483795975481377, -0.13656210957048168, -0.18708843551063617, 0.007161481795047627, -0.1599272235379768, -0.21452302362113815, 0.4170901907268185, 0.1812347048255117, 0.21089576941229543, 0.12199727476372402, 0.3014714354122022, 0.13348135464962385, -0.0013931161832392404, 0.06226639128905141, 0.1976134760414013, 0.12824953443798348, 0.019762894718573905, -0.1898998594637843, 0.1249162320533779, 0.08322770302418221] |
712.094 | Inducing periodicity and chaos by negative feedback | This paper has been withdrawn due to an error in the proof of the main
theorem.
| nlin.CD math.DS | this paper has been withdrawn due to an error in the proof of the main theorem | [['this', 'paper', 'has', 'been', 'withdrawn', 'due', 'to', 'an', 'error', 'in', 'the', 'proof', 'of', 'the', 'main', 'theorem']] | [-0.09753125219140202, -0.07191666991911916, -0.17525873892009258, -0.017183248572109733, -0.04328037693630904, -0.035752511816099286, -0.009828310627199244, 0.26144362380728126, -0.2927056411281228, -0.31531419313978404, 0.12981536101870006, -0.23594904749188572, -0.13382862659636885, 0.1677312282845378, -0.371963357902132, 0.05148779507726431, 0.0255009145475924, -0.011377827497199178, -0.014140370883978903, -0.30186082256841473, 0.31943275360390544, 0.11005339119583368, 0.26291241380386055, 0.2872936688363552, 0.057263843482360244, -0.03338196245022118, -0.09686941630207002, -0.10909429145976901, -0.14644897426478565, 0.12726053583901376, 0.22450806479901075, 0.03422273816249799, 0.46139691583812237, -0.37633550533792004, -0.11141780647449195, 0.19793334035784937, 0.21008932776749134, 0.2144589249510318, -0.08498720766510814, -0.34217654541134834, 0.21603943256195635, -0.24956515722442418, -0.1917317588813603, 0.042855891049839556, 0.0662617594935, -0.08381994714727625, -0.14964258385589346, 0.042858166329097, 0.2933749296935275, 0.13855147012509406, -0.005054469336755574, -0.14021132607012987, 0.07473289489280432, 0.15287126775365323, 0.2441987325437367, 0.1365933131892234, -0.03866999538149685, -0.035376783678657375, -0.11354385281447321, 0.3483010869240388, 0.05658820510143414, -0.17783514875918627, 0.11974006984382868, -0.021468200255185366, -0.16591130243614316, 0.15007712837541476, 0.20258752262452617, 0.08651388905127533, -0.2415608394658193, 0.17720808688318357, -0.05740585085004568, 0.21184013807214797, 0.12117511552060023, 0.029668075032532215, 0.08276104996912181, 0.19078023289330304, 0.06898211658699438, 0.1954186912626028, -0.05082222237251699, -0.02577574597671628, -0.2878659372217953, -0.21985152503475547, -0.2992364796809852, 0.08439570391783491, 0.08176216762512922, -0.18549783242633566, 0.38079430535435677, 0.20993438133154996, 0.10797849576920271, 0.023002575151622295, 0.36305241100490093, 0.2000037805919419, 0.07724172659800388, 0.002900070510804653, 0.33033842279110104, 0.2482471887487918, 0.12270472710952163, -0.07518197479657829, 0.16401715428219177, 0.19056182372150943] |
712.0941 | Gravitational lensing time delays as a tool for testing Lorentz
Invariance Violation | Despite the fact that quantum gravity theory still remains elusive, it is
generally expected that it will bring the picture of a space-time foam at short
distances leading to Lorenz Invariance Violation (LIV) manifested e.g. by
energy dependent modification of standard relativistic dispersion relation. One
direction of research, pursued intensively is to measure energy dependent time
of arrival delays in photons emitted by astrophysical sources located at
cosmological distances. This is tempered however by our ignorance of either
intrinsic delay (at source frame) in different energy channels or as recently
shown, the correct model of the background cosmology.
In this paper we propose a new test based on gravitational lensing.
Monitoring time delays between images performed in different energy channels
(e.g. optical - low energy and TeV photons) may reveal extra delays due to
distorted dispersion relation typical in LIV theories - a test which is free
from the systematics inherent in other settings.
| astro-ph | despite the fact that quantum gravity theory still remains elusive it is generally expected that it will bring the picture of a spacetime foam at short distances leading to lorenz invariance violation liv manifested eg by energy dependent modification of standard relativistic dispersion relation one direction of research pursued intensively is to measure energy dependent time of arrival delays in photons emitted by astrophysical sources located at cosmological distances this is tempered however by our ignorance of either intrinsic delay at source frame in different energy channels or as recently shown the correct model of the background cosmology in this paper we propose a new test based on gravitational lensing monitoring time delays between images performed in different energy channels eg optical low energy and tev photons may reveal extra delays due to distorted dispersion relation typical in liv theories a test which is free from the systematics inherent in other settings | [['despite', 'the', 'fact', 'that', 'quantum', 'gravity', 'theory', 'still', 'remains', 'elusive', 'it', 'is', 'generally', 'expected', 'that', 'it', 'will', 'bring', 'the', 'picture', 'of', 'a', 'spacetime', 'foam', 'at', 'short', 'distances', 'leading', 'to', 'lorenz', 'invariance', 'violation', 'liv', 'manifested', 'eg', 'by', 'energy', 'dependent', 'modification', 'of', 'standard', 'relativistic', 'dispersion', 'relation', 'one', 'direction', 'of', 'research', 'pursued', 'intensively', 'is', 'to', 'measure', 'energy', 'dependent', 'time', 'of', 'arrival', 'delays', 'in', 'photons', 'emitted', 'by', 'astrophysical', 'sources', 'located', 'at', 'cosmological', 'distances', 'this', 'is', 'tempered', 'however', 'by', 'our', 'ignorance', 'of', 'either', 'intrinsic', 'delay', 'at', 'source', 'frame', 'in', 'different', 'energy', 'channels', 'or', 'as', 'recently', 'shown', 'the', 'correct', 'model', 'of', 'the', 'background', 'cosmology', 'in', 'this', 'paper', 'we', 'propose', 'a', 'new', 'test', 'based', 'on', 'gravitational', 'lensing', 'monitoring', 'time', 'delays', 'between', 'images', 'performed', 'in', 'different', 'energy', 'channels', 'eg', 'optical', 'low', 'energy', 'and', 'tev', 'photons', 'may', 'reveal', 'extra', 'delays', 'due', 'to', 'distorted', 'dispersion', 'relation', 'typical', 'in', 'liv', 'theories', 'a', 'test', 'which', 'is', 'free', 'from', 'the', 'systematics', 'inherent', 'in', 'other', 'settings']] | [-0.1451739969006188, 0.1743442706647329, -0.09779335041093873, 0.13895931752382526, -0.07377183018405431, -0.16297064822375482, 0.008761237664944738, 0.3779313740547207, -0.26974046873051283, -0.35816449534736183, 0.03357178891096019, -0.25573356600331243, -0.062197267270867565, 0.19208306829310268, -0.05435734501378121, 0.03352103260342693, 0.03799772920664461, 0.0021137340395637836, -0.06426372568698992, -0.20621924902599476, 0.3031522204079298, 0.1498757797579808, 0.3048298913421796, 0.04385675273998028, 0.12157952940814491, -0.013670243324381054, -0.08124768275056819, 0.01213965376327427, -0.07420829927066638, 0.05407173936079122, 0.22778787500359804, 0.06273859908718518, 0.22483623968927482, -0.4145812611463235, -0.2881464734060788, 0.11072845134491983, 0.11629462898054044, 0.1247493323194488, -0.06569798772397917, -0.30380129932401406, 0.009356784003198539, -0.14090262363223652, -0.1286806090379526, 0.019818289893201405, 0.04773212753551841, -0.023543733479240665, -0.17696994340267816, 0.15836027672814548, -0.00668974757794977, 0.0066777577449101955, -0.035529077720543444, -0.04643006434075927, 0.008987521028182911, 0.07112088807824828, 0.11810394705772571, 0.045122668058243824, 0.1285163477173467, -0.12029745857733742, -0.1036031353900111, 0.43887822432780493, -0.06061370048509592, -0.16545962520237817, 0.19033408177998162, -0.17548361759767622, -0.15898083712856628, 0.1373395423533542, 0.19450450106217576, 0.06818898172404213, -0.187208962865713, 0.0843126239302173, 0.036552077101077884, 0.18765931392676735, 0.10189555923907871, 0.12314167271343697, 0.26179206346798883, 0.13035608163887732, 0.03710168939984502, 0.07245106922231284, -0.10694299061249599, -0.057175039563413806, -0.33021652234080984, -0.08723581445941052, -0.17718949047603497, 0.09167281264135933, -0.0754258536401865, -0.09114427146452822, 0.3415904691332559, 0.16558346398386148, 0.1334661316420687, 0.0306526864350369, 0.31352478347253054, 0.10059605439355916, 0.0631959702211469, 0.06190106595749967, 0.32539018671837094, 0.09601382519375827, 0.10812587567258895, -0.21145033862558194, 0.055127176859011674, 0.0013914716730237398] |
712.0942 | Numerical analysis of three-band models for CuO planes as candidates for
a spontaneous T violating orbital current phase | Recently, we have numerically evaluated the current-current correlation
function for the ground states of three-band models for the CuO planes of
high-Tc superconductors at hole doping x=1/8 using systems with 24 sites and
periodic boundary conditions. In this article, the numerical analysis is
explicated in detail and extended to a wider range of parameters. Our results
show no evidence for the time-reversal symmetry violating current patterns
recently proposed by Varma. If such current patterns exist, our results
indicate that the energy associated with the loop currents must be smaller than
5 meV per link even if the on-site chemical potential on the oxygen sites,
which is generally assumed to be of the order of 3.6 eV, is taken to zero, as
advocated by Varma. We also vary the inter-atomic Coulomb repulsion scale and
find only a weak dependence on this parameter. So while our studies do not rule
out the existence of such current patterns, they do rule out that quantum
critical fluctuations of these patterns are responsible for phenomena occurring
at significantly higher energies such as the superconductivity or the anomalous
properties observed in the strange metal phase provided the CuO superconductors
are adequately described by any of the three-band models discussed.
| cond-mat.supr-con cond-mat.str-el | recently we have numerically evaluated the currentcurrent correlation function for the ground states of threeband models for the cuo planes of hightc superconductors at hole doping x18 using systems with 24 sites and periodic boundary conditions in this article the numerical analysis is explicated in detail and extended to a wider range of parameters our results show no evidence for the timereversal symmetry violating current patterns recently proposed by varma if such current patterns exist our results indicate that the energy associated with the loop currents must be smaller than 5 mev per link even if the onsite chemical potential on the oxygen sites which is generally assumed to be of the order of 36 ev is taken to zero as advocated by varma we also vary the interatomic coulomb repulsion scale and find only a weak dependence on this parameter so while our studies do not rule out the existence of such current patterns they do rule out that quantum critical fluctuations of these patterns are responsible for phenomena occurring at significantly higher energies such as the superconductivity or the anomalous properties observed in the strange metal phase provided the cuo superconductors are adequately described by any of the threeband models discussed | [['recently', 'we', 'have', 'numerically', 'evaluated', 'the', 'currentcurrent', 'correlation', 'function', 'for', 'the', 'ground', 'states', 'of', 'threeband', 'models', 'for', 'the', 'cuo', 'planes', 'of', 'hightc', 'superconductors', 'at', 'hole', 'doping', 'x18', 'using', 'systems', 'with', '24', 'sites', 'and', 'periodic', 'boundary', 'conditions', 'in', 'this', 'article', 'the', 'numerical', 'analysis', 'is', 'explicated', 'in', 'detail', 'and', 'extended', 'to', 'a', 'wider', 'range', 'of', 'parameters', 'our', 'results', 'show', 'no', 'evidence', 'for', 'the', 'timereversal', 'symmetry', 'violating', 'current', 'patterns', 'recently', 'proposed', 'by', 'varma', 'if', 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'properties', 'observed', 'in', 'the', 'strange', 'metal', 'phase', 'provided', 'the', 'cuo', 'superconductors', 'are', 'adequately', 'described', 'by', 'any', 'of', 'the', 'threeband', 'models', 'discussed']] | [-0.13513893367759333, 0.18493078017992706, -0.025899063787776334, 0.11860646152572954, -0.024051878381815276, -0.1368829067119769, 0.09980465701019639, 0.36755741948234333, -0.2105865804593221, -0.2937282371137456, 0.06333447146869443, -0.30329941874691124, -0.1315479092059079, 0.1748875398601731, 0.04815393559929451, 0.013849440604228104, 0.0026204087255348274, -0.0028395821326618713, -0.10194950731439066, -0.2536702810561863, 0.3100018133982796, 0.037560807992910665, 0.29617845314770497, 0.10333343666835959, 0.02904586951372218, -0.016100623992413944, 0.03602715559404692, 0.04362965558008681, -0.14159275546907665, 0.034352569465939495, 0.24259603218786366, -0.008221662087191649, 0.18816060448762745, -0.43218263056074163, -0.25830534441348424, 0.09048944715699501, 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712.0943 | Mass Determination of New States at Hadron Colliders | We propose an improved method for hadron-collider mass determination of new
states that decay to a massive, long-lived state like the LSP in the MSSM. We
focus on pair produced new states which undergo three-body decay to a pair of
visible particles and the new invisible long-lived state. Our approach is to
construct a kinematic quantity which enforces all known physical constraints on
the system. The distribution of this quantity calculated for the observed
events has an endpoint that determines the mass of the new states. However we
find it much more efficient to determine the masses by fitting to the entire
distribution and not just the end point. We consider the application of the
method at the LHC for various models and demonstrate that the method can
determine the masses within about 6 GeV using only 250 events. This implies the
method is viable even for relatively rare processes at the LHC such as
neutralino pair production.
| hep-ph | we propose an improved method for hadroncollider mass determination of new states that decay to a massive longlived state like the lsp in the mssm we focus on pair produced new states which undergo threebody decay to a pair of visible particles and the new invisible longlived state our approach is to construct a kinematic quantity which enforces all known physical constraints on the system the distribution of this quantity calculated for the observed events has an endpoint that determines the mass of the new states however we find it much more efficient to determine the masses by fitting to the entire distribution and not just the end point we consider the application of the method at the lhc for various models and demonstrate that the method can determine the masses within about 6 gev using only 250 events this implies the method is viable even for relatively rare processes at the lhc such as neutralino pair production | [['we', 'propose', 'an', 'improved', 'method', 'for', 'hadroncollider', 'mass', 'determination', 'of', 'new', 'states', 'that', 'decay', 'to', 'a', 'massive', 'longlived', 'state', 'like', 'the', 'lsp', 'in', 'the', 'mssm', 'we', 'focus', 'on', 'pair', 'produced', 'new', 'states', 'which', 'undergo', 'threebody', 'decay', 'to', 'a', 'pair', 'of', 'visible', 'particles', 'and', 'the', 'new', 'invisible', 'longlived', 'state', 'our', 'approach', 'is', 'to', 'construct', 'a', 'kinematic', 'quantity', 'which', 'enforces', 'all', 'known', 'physical', 'constraints', 'on', 'the', 'system', 'the', 'distribution', 'of', 'this', 'quantity', 'calculated', 'for', 'the', 'observed', 'events', 'has', 'an', 'endpoint', 'that', 'determines', 'the', 'mass', 'of', 'the', 'new', 'states', 'however', 'we', 'find', 'it', 'much', 'more', 'efficient', 'to', 'determine', 'the', 'masses', 'by', 'fitting', 'to', 'the', 'entire', 'distribution', 'and', 'not', 'just', 'the', 'end', 'point', 'we', 'consider', 'the', 'application', 'of', 'the', 'method', 'at', 'the', 'lhc', 'for', 'various', 'models', 'and', 'demonstrate', 'that', 'the', 'method', 'can', 'determine', 'the', 'masses', 'within', 'about', '6', 'gev', 'using', 'only', '250', 'events', 'this', 'implies', 'the', 'method', 'is', 'viable', 'even', 'for', 'relatively', 'rare', 'processes', 'at', 'the', 'lhc', 'such', 'as', 'neutralino', 'pair', 'production']] | [-0.06889970770217714, 0.1803102815345805, -0.08833055892411054, 0.14333664549550018, -0.03349760718366626, -0.11280618264351654, 0.06048764273689329, 0.33512812977821765, -0.24060936396517144, -0.326239567403269, 0.06170033182745469, -0.26883607911523666, -0.03639752477778806, 0.207144441210541, 0.026496876395142435, 0.05149691243349468, 0.09265653766055085, 0.0558838079833791, -0.05022795072865755, -0.1960228302684035, 0.31797150948344244, 0.03183780904104815, 0.21839812873343972, 0.09431014173292802, 0.09302738648721406, 0.013835042636971214, -0.0005959635316777408, -0.07242037714282169, -0.12409974491923474, 0.08583727478723135, 0.15670616177745222, 0.14056498817863722, 0.19175699309009728, -0.3515512210654413, -0.17564357530408173, 0.1581372563510579, 0.1704659952879353, 0.11059163889001843, -0.0878132979089543, -0.28291213960398603, 0.11641063638284944, -0.1945383443756477, -0.14479926426281942, -0.07089697649773163, 0.003433634117363563, -0.0760653472565928, -0.30381860801230975, 0.0788772270684661, -0.01451992760287138, -0.03831498664833275, -0.05056154467548609, -0.13052142499223987, -0.04851730379107986, 0.08180660184154499, 0.06159309023339891, 0.014224075818363624, 0.15345799885218656, -0.15465239890780347, -0.11196107479236737, 0.38075566254084625, -0.06847364089195322, -0.15423109395948204, 0.21367232634426578, -0.15410273969527097, -0.16187666823993188, 0.15018686048629035, 0.21363706950428366, 0.15871044204207846, -0.19060419805795897, 0.03976053623607842, -0.03481551437473655, 0.17855684726614698, 0.02337624358537878, 0.06637636819984057, 0.2462810650394192, 0.19802441100864024, 0.06748156983971218, 0.10721972196869835, -0.12400106674125064, -0.0823478124522946, -0.3410887396363895, -0.15593545880946744, -0.14742115645483725, 0.008778457745819064, -0.03260689504900314, -0.1407383713941974, 0.40389336054095454, 0.1661772449579881, 0.26656645789883937, 0.036245192919822436, 0.27726700373842744, 0.10816410589739209, 0.0950184172104832, 0.07473939881789722, 0.3082564283881478, 0.07362687722573505, 0.08082209541344473, -0.20055480064068815, 0.05316799852254364, 0.03178598101639861] |
712.0944 | Schur-Weyl duality for orthogonal groups | We prove Schur--Weyl duality between the Brauer algebra $\mathfrak{B}_n(m)$
and the orthogonal group $O_{m}(K)$ over an arbitrary infinite field $K$ of odd
characteristic. If $m$ is even, we show that each connected component of the
orthogonal monoid is a normal variety; this implies that the orthogonal Schur
algebra associated to the identity component is a generalized Schur algebra. As
an application of the main result, an explicit and characteristic-free
description of the annihilator of $n$-tensor space $V^{\otimes n}$ in the
Brauer algebra $mathfrak{B}_n(m)$ is also given.
| math.RT math.GR | we prove schurweyl duality between the brauer algebra mathfrakb_nm and the orthogonal group o_mk over an arbitrary infinite field k of odd characteristic if m is even we show that each connected component of the orthogonal monoid is a normal variety this implies that the orthogonal schur algebra associated to the identity component is a generalized schur algebra as an application of the main result an explicit and characteristicfree description of the annihilator of ntensor space votimes n in the brauer algebra mathfrakb_nm is also given | [['we', 'prove', 'schurweyl', 'duality', 'between', 'the', 'brauer', 'algebra', 'mathfrakb_nm', 'and', 'the', 'orthogonal', 'group', 'o_mk', 'over', 'an', 'arbitrary', 'infinite', 'field', 'k', 'of', 'odd', 'characteristic', 'if', 'm', 'is', 'even', 'we', 'show', 'that', 'each', 'connected', 'component', 'of', 'the', 'orthogonal', 'monoid', 'is', 'a', 'normal', 'variety', 'this', 'implies', 'that', 'the', 'orthogonal', 'schur', 'algebra', 'associated', 'to', 'the', 'identity', 'component', 'is', 'a', 'generalized', 'schur', 'algebra', 'as', 'an', 'application', 'of', 'the', 'main', 'result', 'an', 'explicit', 'and', 'characteristicfree', 'description', 'of', 'the', 'annihilator', 'of', 'ntensor', 'space', 'votimes', 'n', 'in', 'the', 'brauer', 'algebra', 'mathfrakb_nm', 'is', 'also', 'given']] | [-0.237387434534549, 0.092936118542047, -0.1044594874627978, 0.010715125912677002, -0.1432037931272244, -0.12197159649243197, -0.058725978461015654, 0.3336773603054953, -0.3758414036325033, -0.16425536099557642, 0.09008851269658386, -0.1872471974074212, -0.17143913928183716, 0.16456864266768548, -0.10849301352064653, -0.1115179493664259, 0.026517929643931158, 0.15169208973691048, -0.12122657768013158, -0.24999874823513518, 0.39019633920481767, -0.016173336583369197, 0.2693364420928151, 0.011039499799350658, 0.13577290237264103, 0.06183609492089375, -0.018517810671803463, -0.04670965089778281, -0.07730148186860185, 0.09108331464006598, 0.3362395944949015, 0.120027097758377, 0.1855158366891275, -0.3326243200950908, -0.031992720260498035, 0.2121131788961679, 0.19701777968460313, -0.009959752466641816, -0.014220450861738568, -0.22247966502355523, 0.1043392523382622, -0.2538233605179801, -0.17534680864268756, -0.010671297469771052, 0.10101846626437976, -0.03244995306728475, -0.30300407365794824, -0.03679859631797243, 0.14081340618655983, 0.13963498196463628, -0.08086676147614931, -0.12793793905167336, -0.0591370425108506, 0.08504703103463693, -0.05551030559757029, 0.0682063006784722, 0.07170463383235655, -0.08095861329270684, -0.143483949696129, 0.3306193931802479, -0.046470812378459646, -0.20882915700954127, 0.09730993327965219, -0.1810896658080529, -0.1635699637054679, 0.10979725436184061, 0.023244403470980834, 0.11070368133754616, 0.0028986409194318645, 0.22716960088624788, -0.20922881524157094, 0.06582369996481631, 0.08289794656391962, -0.012933146533926567, 0.1126917107619839, 0.040096408064780105, 0.0973574287056115, 0.17921816797769932, 0.05307280462928094, 0.014101017451654357, -0.3848548278953117, -0.27185329780296746, -0.16233672223513923, 0.14304478663996043, -0.1676715355677143, -0.18398575325417948, 0.3987565931460136, 0.08916440166263695, 0.14781900697264327, 0.10438836159476314, 0.24666931253510066, 0.11701608351459838, 0.08174484077818601, 0.06262800896291149, 0.06359359267425824, 0.3153776685785816, -0.06463212759026427, -0.1809194171913417, -0.034397866459092104, 0.22041770757501383] |
712.0945 | Recent results on D^0 mixing from Belle | We report on recent measurements of the $D^0-\bar{D}^0$ mixing and $CP$
violation parameters performed by the Belle experiment. The evidence for the
mixing phenomena in the system of neutral $D$ mesons, arising in the study of
$D^0\to K^+K^-, \pi^+\pi^-$ decays is presented first. Using a time dependent
Dalitz analysis of $D^0\to K_S\pi^+\pi^-$ decays we also obtained the most
precise up-to-date determination of the mass difference of the two $D$ meson
mass eigenstates. The presented results are based on 540 fb$^{-1}$ of data
recorded by the Belle detector at the KEKB $e^+e^-$ collider. We conclude with
short prospects for the future measurements.
| hep-ex | we report on recent measurements of the d0bard0 mixing and cp violation parameters performed by the belle experiment the evidence for the mixing phenomena in the system of neutral d mesons arising in the study of d0to kk pipi decays is presented first using a time dependent dalitz analysis of d0to k_spipi decays we also obtained the most precise uptodate determination of the mass difference of the two d meson mass eigenstates the presented results are based on 540 fb1 of data recorded by the belle detector at the kekb ee collider we conclude with short prospects for the future measurements | [['we', 'report', 'on', 'recent', 'measurements', 'of', 'the', 'd0bard0', 'mixing', 'and', 'cp', 'violation', 'parameters', 'performed', 'by', 'the', 'belle', 'experiment', 'the', 'evidence', 'for', 'the', 'mixing', 'phenomena', 'in', 'the', 'system', 'of', 'neutral', 'd', 'mesons', 'arising', 'in', 'the', 'study', 'of', 'd0to', 'kk', 'pipi', 'decays', 'is', 'presented', 'first', 'using', 'a', 'time', 'dependent', 'dalitz', 'analysis', 'of', 'd0to', 'k_spipi', 'decays', 'we', 'also', 'obtained', 'the', 'most', 'precise', 'uptodate', 'determination', 'of', 'the', 'mass', 'difference', 'of', 'the', 'two', 'd', 'meson', 'mass', 'eigenstates', 'the', 'presented', 'results', 'are', 'based', 'on', '540', 'fb1', 'of', 'data', 'recorded', 'by', 'the', 'belle', 'detector', 'at', 'the', 'kekb', 'ee', 'collider', 'we', 'conclude', 'with', 'short', 'prospects', 'for', 'the', 'future', 'measurements']] | [-0.13638246468369766, 0.21794614907686072, -0.07365080940601702, 0.07512750323645144, -0.04900564411931699, -0.12146835751591785, 0.08407459501407598, 0.26446709034982885, -0.1528482110536943, -0.25219360435160226, 0.01407010667717619, -0.411099122048789, 0.011675362189364906, 0.19327749549134607, 0.12657286713619043, 0.16026849026381415, 0.17375274809218003, -0.02625594541919187, -0.08814807961427487, -0.17941647609188635, 0.2656023121406647, 0.04789582449979711, 0.2233910926590019, 0.12220643477348409, -9.050726369576584e-05, 0.012354801332873136, -0.1354318013101226, -0.08088561855625398, -0.18498994323792683, 0.05599003659658097, 0.2192279803471543, 0.18030920882921408, 0.09401171663489324, -0.3496738113370715, -0.025368057214424457, 0.1363692177127641, 0.14439242536958197, 0.06013863917329524, -0.09226567126317227, -0.42145158416858997, 0.08411211801847296, -0.15630098529584188, -0.07684697167911005, -0.03749493350929553, 0.04079400715222213, -0.09795621489543505, -0.3393044498112827, 0.11170310547574203, -0.10631573966492226, 0.11805011425052059, -0.01926082318030888, -0.2549553476585223, 0.012207350043561493, -0.013439830513048623, 0.09490272250386084, 0.006590266428463678, 0.15785603652625244, -0.07321516886851427, -0.19131462212356895, 0.34346728974787316, -0.1040479999416252, -0.1161347708415867, 0.14079954555617774, -0.24822957098188966, -0.1362117069708829, 0.12179879449529223, 0.2369244073858798, 0.05342944234720256, -0.22764828081915875, 0.10578984254452464, -0.04715861387938113, 0.1683360342083886, 0.059314527544239076, 0.09914208689501675, 0.15116665841513635, 0.2566309411465974, -0.01781632076248084, 0.03925760112712068, -0.1268884455093579, -0.018592138202990046, -0.4388281037975656, -0.11052859469436772, -0.0958450224186008, 0.039879789471045354, -0.01428426479869453, -0.024157823100317232, 0.40055784878164236, 0.07190544623881578, 0.32146298795901607, 0.001421710361016564, 0.313492072368096, 0.0712605977942706, 0.007480990991404391, 0.03464660016946047, 0.3561316568146248, 0.1835143766826996, 0.1787274316193001, -0.3537426290821542, 0.042554062649395576, 0.003655746403970931] |
712.0946 | Hamiltonian Formalism in the Presence of Higher Derivatives | A short review of basic formulas from Hamiltonian formalism in classical
mechanics in the case when Lagrangian contains N time-derivatives of n
coordinate variables. For non-local models N=infinity.
| hep-th | a short review of basic formulas from hamiltonian formalism in classical mechanics in the case when lagrangian contains n timederivatives of n coordinate variables for nonlocal models ninfinity | [['a', 'short', 'review', 'of', 'basic', 'formulas', 'from', 'hamiltonian', 'formalism', 'in', 'classical', 'mechanics', 'in', 'the', 'case', 'when', 'lagrangian', 'contains', 'n', 'timederivatives', 'of', 'n', 'coordinate', 'variables', 'for', 'nonlocal', 'models', 'ninfinity']] | [-0.1525299453309604, 0.12689403361998433, -0.07233419342498694, 0.07959517138078809, -0.02111098955252341, -0.212975530535914, -0.051554682065865824, 0.2476150426082313, -0.2506388101194586, -0.2480130550850715, -0.026659766731817008, -0.2820366682218654, -0.18131070539155708, 0.14344648863854154, -0.06634937773664465, 0.024679364769586494, 0.04926705593243241, 0.11582275406856622, -0.1324797842285729, -0.2271182925240802, 0.2585207505949906, -0.05859626633381205, 0.15106623380311898, -0.0746161718852818, 0.10526556495044913, 0.11661617095316094, -0.03217069801342275, 0.003459766773240907, -0.13272434985265136, 0.03959355862545116, 0.2748670817544345, 0.11381214146967977, 0.2364251024555415, -0.5109910666942596, -0.19459180522244424, 0.06987207419505077, 0.12764477134416147, 0.1630007084157634, 0.10714434060667243, -0.20544159883866087, -0.03411071125550994, -0.15869891917931714, -0.22725314301039493, -0.07520248807434525, 0.14377487444185785, 0.04060811968520284, -0.20802862895652652, 0.10754943374610905, 0.12392446999105491, 0.10129890700669161, -0.039144105377740095, -0.15578474796244077, 0.023208388559786335, 0.030264620499760246, 0.04544784102056708, -0.013878834562742018, 0.047528588479118686, -0.13264286327570776, -0.09561587788838162, 0.41091104969382286, -0.07642518866175253, -0.28290690115786027, 0.07777728665886181, -0.10052463364055646, -0.23529381489580764, 0.07385795596720916, 0.12200832721178553, 0.22130488755647093, -0.18077655119382793, 0.25542549549468924, -0.045449366327375174, 0.10794016559209142, 0.039928105127598555, 0.06719324119122964, 0.12077145744115114, 0.060660948003974875, 0.003689378599769303, 0.12781622056250594, 0.046766218064086776, -0.26751375291496515, -0.4532533862761089, -0.1353352804426322, -0.17886155414661126, 0.1652952696063689, -0.13558255786275758, -0.14157485647592694, 0.341869664045849, 0.15199131509247568, 0.153891982643732, 0.09431231720373034, 0.26066796937292175, 0.10429971578664013, 0.032620230955736976, 0.04480237430626793, 0.12350220106808203, 0.22023296136675136, 0.07406525639817119, -0.15446510141815192, -0.04196404414999831, 0.23330213192717306] |
712.0947 | Soft heavy-ion physics from hydrodynamics with statistical hadronization
- predictions for the Large Hadron Collider | Hydrodynamics merged with single-freeze-out statistical hadronization is used
to describe the midrapidity hadron production in relativistic heavy-ion
collisions at the highest RHIC energies and to make predictions for the LHC.
Thermodynamic properties of the quark-gluon plasma are taken from lattice
simulations, at low temperatures the hadron-gas equation of state is used,
while in the cross-over region an interpolation between the two equations of
state is constructed. The initial condition for hydrodynamics is obtained from
a Glauber profile for the entropy, with the initial central temperature Ti. The
conditions obtained from the hydrodynamic expansion at the freeze-out
temperature Tf are used as input for the thermal event generator THERMINATOR.
Basic physical observables are obtained: the transverse-momentum spectra, the
elliptic flow coefficient v2, and the HBT radii. The femtoscopic observables
are evaluated with the help of the two-particle method which accounts for the
resonance decays and Coulomb final-state interactions. The problem of a
simultaneous description of all discussed observables is addressed, with the
conclusion that at the highest RHIC energies our approach gives a quite
satisfactory global description of soft hadronic observables. Some
discrepancies may be attributed to the absence of the final-state elastic
interactions among hadrons. Extrapolating Ti to higher values allows for global
predictions for soft hadronic physics at the LHC. We test Ti=400, 450, and 500
MeV, and observe the expected growth of particle multiplicities and the
increase of the flow, resulting in smaller slopes of the pT-spectra. The
elliptic flow of pions exhibits saturation, with v2 remaining practically
constant, while the HBT radii increase moderately with Ti.
| nucl-th hep-ph nucl-ex | hydrodynamics merged with singlefreezeout statistical hadronization is used to describe the midrapidity hadron production in relativistic heavyion collisions at the highest rhic energies and to make predictions for the lhc thermodynamic properties of the quarkgluon plasma are taken from lattice simulations at low temperatures the hadrongas equation of state is used while in the crossover region an interpolation between the two equations of state is constructed the initial condition for hydrodynamics is obtained from a glauber profile for the entropy with the initial central temperature ti the conditions obtained from the hydrodynamic expansion at the freezeout temperature tf are used as input for the thermal event generator therminator basic physical observables are obtained the transversemomentum spectra the elliptic flow coefficient v2 and the hbt radii the femtoscopic observables are evaluated with the help of the twoparticle method which accounts for the resonance decays and coulomb finalstate interactions the problem of a simultaneous description of all discussed observables is addressed with the conclusion that at the highest rhic energies our approach gives a quite satisfactory global description of soft hadronic observables some discrepancies may be attributed to the absence of the finalstate elastic interactions among hadrons extrapolating ti to higher values allows for global predictions for soft hadronic physics at the lhc we test ti400 450 and 500 mev and observe the expected growth of particle multiplicities and the increase of the flow resulting in smaller slopes of the ptspectra the elliptic flow of pions exhibits saturation with v2 remaining practically constant while the hbt radii increase moderately with ti | [['hydrodynamics', 'merged', 'with', 'singlefreezeout', 'statistical', 'hadronization', 'is', 'used', 'to', 'describe', 'the', 'midrapidity', 'hadron', 'production', 'in', 'relativistic', 'heavyion', 'collisions', 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712.0948 | A Common View on Strong, Uniform, and Other Notions of Equivalence in
Answer-Set Programming | Logic programming under the answer-set semantics nowadays deals with numerous
different notions of program equivalence. This is due to the fact that
equivalence for substitution (known as strong equivalence) and ordinary
equivalence are different concepts. The former holds, given programs P and Q,
iff P can be faithfully replaced by Q within any context R, while the latter
holds iff P and Q provide the same output, that is, they have the same answer
sets. Notions in between strong and ordinary equivalence have been introduced
as theoretical tools to compare incomplete programs and are defined by either
restricting the syntactic structure of the considered context programs R or by
bounding the set A of atoms allowed to occur in R (relativized equivalence).For
the latter approach, different A yield properly different equivalence notions,
in general. For the former approach, however, it turned out that any
``reasonable'' syntactic restriction to R coincides with either ordinary,
strong, or uniform equivalence. In this paper, we propose a parameterization
for equivalence notions which takes care of both such kinds of restrictions
simultaneously by bounding, on the one hand, the atoms which are allowed to
occur in the rule heads of the context and, on the other hand, the atoms which
are allowed to occur in the rule bodies of the context. We introduce a general
semantical characterization which includes known ones as SE-models (for strong
equivalence) or UE-models (for uniform equivalence) as special cases.
Moreover,we provide complexity bounds for the problem in question and sketch a
possible implementation method.
To appear in Theory and Practice of Logic Programming (TPLP).
| cs.AI cs.LO | logic programming under the answerset semantics nowadays deals with numerous different notions of program equivalence this is due to the fact that equivalence for substitution known as strong equivalence and ordinary equivalence are different concepts the former holds given programs p and q iff p can be faithfully replaced by q within any context r while the latter holds iff p and q provide the same output that is they have the same answer sets notions in between strong and ordinary equivalence have been introduced as theoretical tools to compare incomplete programs and are defined by either restricting the syntactic structure of the considered context programs r or by bounding the set a of atoms allowed to occur in r relativized equivalencefor the latter approach different a yield properly different equivalence notions in general for the former approach however it turned out that any reasonable syntactic restriction to r coincides with either ordinary strong or uniform equivalence in this paper we propose a parameterization for equivalence notions which takes care of both such kinds of restrictions simultaneously by bounding on the one hand the atoms which are allowed to occur in the rule heads of the context and on the other hand the atoms which are allowed to occur in the rule bodies of the context we introduce a general semantical characterization which includes known ones as semodels for strong equivalence or uemodels for uniform equivalence as special cases moreoverwe provide complexity bounds for the problem in question and sketch a possible implementation method to appear in theory and practice of logic programming tplp | [['logic', 'programming', 'under', 'the', 'answerset', 'semantics', 'nowadays', 'deals', 'with', 'numerous', 'different', 'notions', 'of', 'program', 'equivalence', 'this', 'is', 'due', 'to', 'the', 'fact', 'that', 'equivalence', 'for', 'substitution', 'known', 'as', 'strong', 'equivalence', 'and', 'ordinary', 'equivalence', 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712.0949 | Ultralow Thermal Conductivity of Isotope-Doped Silicon Nanowires | The thermal conductivity of silicon nanowires (SiNWs) is investigated by
molecular dynamics (MD) simulation. It is found that the thermal conductivity
of SiNWs can be reduced exponentially by isotopic defects at room temperature.
The thermal conductivity reaches the minimum, which is about 27% of that of
pure 28Si NW, when doped with fifty percent isotope atoms. The thermal
conductivity of isotopic-superlattice structured SiNWs depends clearly on the
period of superlattice. At a critical period of 1.09 nm, the thermal
conductivity is only 25% of the value of pure Si NW. An anomalous enhancement
of thermal conductivity is observed when the superlattice period is smaller
than this critical length. The ultra-low thermal conductivity of superlattice
structured SiNWs is explained with phonon spectrum theory.
| cond-mat.mtrl-sci cond-mat.other | the thermal conductivity of silicon nanowires sinws is investigated by molecular dynamics md simulation it is found that the thermal conductivity of sinws can be reduced exponentially by isotopic defects at room temperature the thermal conductivity reaches the minimum which is about 27 of that of pure 28si nw when doped with fifty percent isotope atoms the thermal conductivity of isotopicsuperlattice structured sinws depends clearly on the period of superlattice at a critical period of 109 nm the thermal conductivity is only 25 of the value of pure si nw an anomalous enhancement of thermal conductivity is observed when the superlattice period is smaller than this critical length the ultralow thermal conductivity of superlattice structured sinws is explained with phonon spectrum theory | [['the', 'thermal', 'conductivity', 'of', 'silicon', 'nanowires', 'sinws', 'is', 'investigated', 'by', 'molecular', 'dynamics', 'md', 'simulation', 'it', 'is', 'found', 'that', 'the', 'thermal', 'conductivity', 'of', 'sinws', 'can', 'be', 'reduced', 'exponentially', 'by', 'isotopic', 'defects', 'at', 'room', 'temperature', 'the', 'thermal', 'conductivity', 'reaches', 'the', 'minimum', 'which', 'is', 'about', '27', 'of', 'that', 'of', 'pure', '28si', 'nw', 'when', 'doped', 'with', 'fifty', 'percent', 'isotope', 'atoms', 'the', 'thermal', 'conductivity', 'of', 'isotopicsuperlattice', 'structured', 'sinws', 'depends', 'clearly', 'on', 'the', 'period', 'of', 'superlattice', 'at', 'a', 'critical', 'period', 'of', '109', 'nm', 'the', 'thermal', 'conductivity', 'is', 'only', '25', 'of', 'the', 'value', 'of', 'pure', 'si', 'nw', 'an', 'anomalous', 'enhancement', 'of', 'thermal', 'conductivity', 'is', 'observed', 'when', 'the', 'superlattice', 'period', 'is', 'smaller', 'than', 'this', 'critical', 'length', 'the', 'ultralow', 'thermal', 'conductivity', 'of', 'superlattice', 'structured', 'sinws', 'is', 'explained', 'with', 'phonon', 'spectrum', 'theory']] | [-0.11549484114593649, 0.2639482112531406, -0.016489171684711926, -0.0897697831084567, 0.05092009469435727, -0.1644477951494315, 0.05829863233226236, 0.4200530389827976, -0.25418206619883865, -0.2874120337011154, 0.044821548052440006, -0.354915254341423, -0.06082643086306196, 0.21840439318132795, 0.022011349832038743, -0.0074802113442935724, 0.015126718650764424, -0.012689885224431199, -0.05493286559512177, -0.2478304188583077, 0.2071917290984045, 0.1210524200130839, 0.330424195501861, 0.1398928697482675, 0.02681788460790249, -0.06073845767085094, 0.11419258897278405, 0.04949619061282782, -0.12589848291598865, 0.06108053351660098, 0.21075537503689282, -0.1385773718626477, 0.14174345653688858, -0.42428249136490886, -0.21526039539055114, 0.008776379010278331, 0.13191817603593553, 0.11850120005878997, 0.02082570465878114, -0.16804323294623333, 0.10293018755941721, -0.09266188907945021, -0.14944267765164745, 0.020499863225027674, 0.07824094473453592, -0.09128023438879158, -0.17631684363750386, 0.18203664626849214, 0.016535590010241043, 0.12197199236016629, -0.09623417721614858, -0.21577030940227643, -0.11180121027518156, -0.004189550656775274, 0.021552308656906417, 0.00038693898380541607, 0.3085836509592862, -0.07024167813476144, -0.08544474111269575, 0.3819073823488448, -0.10263082175768146, -0.015070772824100843, 0.09729172107725104, -0.19668468596675426, 0.012312421271161845, 0.2715780239952497, 0.06939240129018003, 0.07813017927629734, -0.17498103375012664, 0.06560430654193744, -0.007804285842648222, 0.25349629111780425, 0.10803983321274854, 0.08477938292194004, 0.25239909109313136, 0.2480825704853397, 0.014204645873824796, 0.15547291240712613, -0.13310625537275528, 0.009153210459861998, -0.16658820245753636, -0.17252699110641584, -0.24035074583770447, 0.15075265811294442, -0.18148961718086432, -0.20211417875050622, 0.38953445175247003, 0.1232971197863933, 0.13260015763326988, -0.015620310353076717, 0.25927612885894363, 0.1828279341378611, 0.09771773224027369, 0.04415597142805615, 0.2739093172679509, 0.21149084892620387, 0.13589055135784564, -0.338308778914723, 0.08117957456106674, -0.06814908705871121] |
712.095 | On string solutions of Bethe equations in N=4 supersymmetric Yang-Mills
theory | The Bethe equations, arising in description of the spectrum of the dilatation
operator for the su(2) sector of the N=4 supersymmetric Yang-Mills theory, are
considered in the anti-ferromagnetic regime. These equations are deformation of
those for the Heisenberg XXX magnet. It is proven that in the thermodynamic
limit roots of the deformed equations group into strings. It is proven that the
corresponding Yang's action is convex, which implies uniqueness of solution for
centers of the strings. The state formed of strings of length (2n+1) is
considered and the density of their distribution is found. It is shown that the
energy of such a state decreases as n grows. It is observed that
non-analyticity of the left hand side of the Bethe equations leads to an
additional contribution to the density and energy of strings of even length.
Whence it is concluded that the structure of the anti-ferromagnetic vacuum is
determined by the behaviour of exponential corrections to string solutions in
the thermodynamic limit and possibly involves strings of length 2.
| nlin.SI hep-th | the bethe equations arising in description of the spectrum of the dilatation operator for the su2 sector of the n4 supersymmetric yangmills theory are considered in the antiferromagnetic regime these equations are deformation of those for the heisenberg xxx magnet it is proven that in the thermodynamic limit roots of the deformed equations group into strings it is proven that the corresponding yangs action is convex which implies uniqueness of solution for centers of the strings the state formed of strings of length 2n1 is considered and the density of their distribution is found it is shown that the energy of such a state decreases as n grows it is observed that nonanalyticity of the left hand side of the bethe equations leads to an additional contribution to the density and energy of strings of even length whence it is concluded that the structure of the antiferromagnetic vacuum is determined by the behaviour of exponential corrections to string solutions in the thermodynamic limit and possibly involves strings of length 2 | [['the', 'bethe', 'equations', 'arising', 'in', 'description', 'of', 'the', 'spectrum', 'of', 'the', 'dilatation', 'operator', 'for', 'the', 'su2', 'sector', 'of', 'the', 'n4', 'supersymmetric', 'yangmills', 'theory', 'are', 'considered', 'in', 'the', 'antiferromagnetic', 'regime', 'these', 'equations', 'are', 'deformation', 'of', 'those', 'for', 'the', 'heisenberg', 'xxx', 'magnet', 'it', 'is', 'proven', 'that', 'in', 'the', 'thermodynamic', 'limit', 'roots', 'of', 'the', 'deformed', 'equations', 'group', 'into', 'strings', 'it', 'is', 'proven', 'that', 'the', 'corresponding', 'yangs', 'action', 'is', 'convex', 'which', 'implies', 'uniqueness', 'of', 'solution', 'for', 'centers', 'of', 'the', 'strings', 'the', 'state', 'formed', 'of', 'strings', 'of', 'length', '2n1', 'is', 'considered', 'and', 'the', 'density', 'of', 'their', 'distribution', 'is', 'found', 'it', 'is', 'shown', 'that', 'the', 'energy', 'of', 'such', 'a', 'state', 'decreases', 'as', 'n', 'grows', 'it', 'is', 'observed', 'that', 'nonanalyticity', 'of', 'the', 'left', 'hand', 'side', 'of', 'the', 'bethe', 'equations', 'leads', 'to', 'an', 'additional', 'contribution', 'to', 'the', 'density', 'and', 'energy', 'of', 'strings', 'of', 'even', 'length', 'whence', 'it', 'is', 'concluded', 'that', 'the', 'structure', 'of', 'the', 'antiferromagnetic', 'vacuum', 'is', 'determined', 'by', 'the', 'behaviour', 'of', 'exponential', 'corrections', 'to', 'string', 'solutions', 'in', 'the', 'thermodynamic', 'limit', 'and', 'possibly', 'involves', 'strings', 'of', 'length', '2']] | [-0.18810213077197072, 0.18427732817508513, -0.08613262356751981, 0.09208649096750271, -0.01977839142029338, -0.09888026429175892, -0.03029519163948648, 0.2789053739979863, -0.26185584577170257, -0.23794185060815995, 0.09889508443610633, -0.33199622593820094, -0.09477818926166305, 0.14334294778185294, 0.019255466937251827, 0.033720434884376385, 0.01724616140127182, 0.12946194029577515, -0.07544902454897323, -0.24388099406325423, 0.31608128568212335, 0.031504358688150255, 0.2829440346042461, 0.05357831171713769, 0.10467004901729524, -0.011878075708142099, 0.047747877982499846, 0.020346740729120724, -0.10835378945823108, 0.10366300291326992, 0.2264185343417065, 0.07512423085760983, 0.15170144409181804, -0.43128635978654906, -0.18895803964970742, 0.08501499377136283, 0.17132565139738076, 0.12930248870226718, 0.029830414451220456, -0.2450664153733455, 0.08509683010770994, -0.14473945922492182, -0.21167159364901153, -0.033144291068482046, 0.06449251260389299, -0.014346888759995208, -0.23518550061408486, 0.09902028948178186, 0.1024839847595157, -0.0005101795294595991, -0.08693418138222221, -0.10791881722261143, -0.06912002456922303, 0.09801931454635718, 0.12559774607721277, 0.05315897542271106, 0.09198595746146405, -0.175131220830714, -0.07638361975550652, 0.3744353029219543, -0.031084954272955656, -0.20195922209001282, 0.12638775089974788, -0.1450094919953057, -0.11710546060793978, 0.14380341995617046, 0.055303228230160824, 0.12421092344995807, -0.12880895140012452, 0.21240526170038398, -0.04416088501457125, 0.17135199644219348, 0.0791388756595552, 0.03924792718744891, 0.1842372203574461, 0.1368527121951475, 0.07161578481849146, 0.16982490416917512, -0.02175954846829614, -0.15275552007643617, -0.3386989450575236, -0.14302764894005926, -0.20332200505825526, 0.10542745917542454, -0.10535192221432226, -0.2199347210340955, 0.33683940123711875, 0.10806503693354041, 0.16643772219335112, 0.047029224581852117, 0.1889098773326944, 0.16608400093836656, 0.062226304448867106, 0.06531985964142864, 0.22982132017393322, 0.1871489492334042, 0.05635278874131686, -0.26914842897231744, 0.0012727032826446434, 0.14584313240176178] |
712.0951 | Tunneling of interacting fermions in 1D systems | Using the self-consistent Hartree-Fock approximation for spinless electrons
at zero temperature, we study tunneling of the interacting electron gas through
a single delta-barrier in a finite one-dimensional (1D) wire connected to
contacts. Our results exhibit features known from correlated many-body models.
In particular, the conductance decays with the wire length as $\propto
L^{-2\alpha}$, where the power $\alpha$ is universal. We also show that a
similar result for a wire conductance can be extracted from the persistent
current (I) through the delta-barrier in a 1D ring, where it is known that I
\propto L^{-1-\alpha}$.
| cond-mat.mes-hall | using the selfconsistent hartreefock approximation for spinless electrons at zero temperature we study tunneling of the interacting electron gas through a single deltabarrier in a finite onedimensional 1d wire connected to contacts our results exhibit features known from correlated manybody models in particular the conductance decays with the wire length as propto l2alpha where the power alpha is universal we also show that a similar result for a wire conductance can be extracted from the persistent current i through the deltabarrier in a 1d ring where it is known that i propto l1alpha | [['using', 'the', 'selfconsistent', 'hartreefock', 'approximation', 'for', 'spinless', 'electrons', 'at', 'zero', 'temperature', 'we', 'study', 'tunneling', 'of', 'the', 'interacting', 'electron', 'gas', 'through', 'a', 'single', 'deltabarrier', 'in', 'a', 'finite', 'onedimensional', '1d', 'wire', 'connected', 'to', 'contacts', 'our', 'results', 'exhibit', 'features', 'known', 'from', 'correlated', 'manybody', 'models', 'in', 'particular', 'the', 'conductance', 'decays', 'with', 'the', 'wire', 'length', 'as', 'propto', 'l2alpha', 'where', 'the', 'power', 'alpha', 'is', 'universal', 'we', 'also', 'show', 'that', 'a', 'similar', 'result', 'for', 'a', 'wire', 'conductance', 'can', 'be', 'extracted', 'from', 'the', 'persistent', 'current', 'i', 'through', 'the', 'deltabarrier', 'in', 'a', '1d', 'ring', 'where', 'it', 'is', 'known', 'that', 'i', 'propto', 'l1alpha']] | [-0.12446271293228292, 0.17663058866396225, -0.055600317981174235, 0.03976880346665219, 0.025479974826016733, -0.24872463196015326, 0.030103377157932407, 0.34460143672843135, -0.2677878185465772, -0.20758980474564978, -0.03821226397043555, -0.366481032022225, -0.1153038294475165, 0.197780474449598, 0.041916774595857305, 0.0019971602308433705, 0.008819378143857403, 0.033142119626043944, -0.08794922525343556, -0.16905293592392037, 0.2736046606767422, 0.021057896724130998, 0.23526224223095724, 0.07335533515640325, 0.00727867347598877, 0.006785719294942195, 0.07787878752776212, 0.09082975839414904, -0.16487926367988875, -0.02647631729061725, 0.2288257994691629, -0.07846819972919841, 0.19268395690627957, -0.4589451074760447, -0.20360757953297065, 0.03381472680547465, 0.2169343349492548, 0.12434276350603629, -0.041871640260421464, -0.25668958553503596, 0.04598168022329769, -0.19926695295819832, -0.12827587403076632, -0.01628497744640035, 0.036319722110400555, 0.06639398963150558, -0.26215547339249684, 0.13013519392497788, 0.04077109001621965, 0.01714423049481646, -0.018595999394673653, -0.05743532089556577, -0.018545903373129106, 0.061402296807657006, -0.00014529809335707335, 0.05636789645468916, 0.15903557918124622, -0.11870012896746317, -0.08093619985025256, 0.3452295236820255, -0.13562980236395472, -0.15182648729332673, 0.1582723482942549, -0.17571240282988035, -0.09611645173682, 0.13150740125446872, 0.09183663031917506, 0.08629006375208177, -0.13451430804386574, 0.10488310447263141, -0.10884183418927013, 0.16536455389371352, 0.0021603984197461476, 0.022021237039758314, 0.23692520908130113, 0.19843322688823825, 0.0141257540205799, 0.12484609862534149, -0.12986702882554582, -0.06323177517161414, -0.2900182047898891, -0.1438875633106637, -0.24859337597805006, 0.12636119256457012, -0.03918937596702768, -0.19312068842030983, 0.4180695095289779, 0.13726628826610665, 0.2150557570419805, 0.05698018767169967, 0.3063655211039448, 0.18226062263592438, 0.0667046423580858, 0.10315940451497833, 0.1737955982401912, 0.13862091140265786, 0.054249585037850725, -0.2713389194029714, 0.007268826166788737, 0.02652500392067977] |
712.0952 | Coherent transport of interacting electrons through a single scatterer | Using the self-consistent Hartree-Fock method, we calculate the persistent
current of weakly-interacting spinless electrons in a one-dimensional ring
containing a single delta-barrier. We find that the persistent current decays
with the system length (L) asymptotically like $I \propto L^{-1-\alpha}$, where
$\alpha > 0$ is the power depending only on the electron-electron interaction.
We also simulate tunneling of the weakly-interacting one-dimensional electron
gas through a single delta-barrier in a finite wire biased by contacts. We find
that the Landauer conductance decays with the system length asymptotically like
$L^{-2\alpha}$. The power laws $L^{-1-\alpha}$ and $L^{-2\alpha}$ have so far
been observed only in correlated models. Their existence in the Hartree-Fock
model is thus surprising.
| cond-mat.mes-hall | using the selfconsistent hartreefock method we calculate the persistent current of weaklyinteracting spinless electrons in a onedimensional ring containing a single deltabarrier we find that the persistent current decays with the system length l asymptotically like i propto l1alpha where alpha 0 is the power depending only on the electronelectron interaction we also simulate tunneling of the weaklyinteracting onedimensional electron gas through a single deltabarrier in a finite wire biased by contacts we find that the landauer conductance decays with the system length asymptotically like l2alpha the power laws l1alpha and l2alpha have so far been observed only in correlated models their existence in the hartreefock model is thus surprising | [['using', 'the', 'selfconsistent', 'hartreefock', 'method', 'we', 'calculate', 'the', 'persistent', 'current', 'of', 'weaklyinteracting', 'spinless', 'electrons', 'in', 'a', 'onedimensional', 'ring', 'containing', 'a', 'single', 'deltabarrier', 'we', 'find', 'that', 'the', 'persistent', 'current', 'decays', 'with', 'the', 'system', 'length', 'l', 'asymptotically', 'like', 'i', 'propto', 'l1alpha', 'where', 'alpha', '0', 'is', 'the', 'power', 'depending', 'only', 'on', 'the', 'electronelectron', 'interaction', 'we', 'also', 'simulate', 'tunneling', 'of', 'the', 'weaklyinteracting', 'onedimensional', 'electron', 'gas', 'through', 'a', 'single', 'deltabarrier', 'in', 'a', 'finite', 'wire', 'biased', 'by', 'contacts', 'we', 'find', 'that', 'the', 'landauer', 'conductance', 'decays', 'with', 'the', 'system', 'length', 'asymptotically', 'like', 'l2alpha', 'the', 'power', 'laws', 'l1alpha', 'and', 'l2alpha', 'have', 'so', 'far', 'been', 'observed', 'only', 'in', 'correlated', 'models', 'their', 'existence', 'in', 'the', 'hartreefock', 'model', 'is', 'thus', 'surprising']] | [-0.1657806470614477, 0.18478886735286904, -0.04286893499718809, 0.08301260830961507, 0.010551706144840203, -0.24717942566018214, 0.04953276839064942, 0.3253952455622229, -0.24229198030450128, -0.2150296884673563, -0.02916131696917794, -0.3735552626746622, -0.08321190255651759, 0.16145971148825167, 0.05914812992242249, 0.021879541128873824, -0.0015321212778375908, 0.04357806862839921, -0.06612699620679698, -0.19243265814994545, 0.25549118637572976, 0.04820331397085366, 0.2427537700923329, 0.04628187677061016, 0.031211649956689638, 0.028426631302996115, 0.06402131737294522, 0.06241939773952419, -0.1726052224727358, -0.008928639221597801, 0.1639960723674118, -0.043869975063187835, 0.22475072977725755, -0.4553525837984952, -0.1891858367312869, 0.08534176607870243, 0.20760057428851725, 0.11238823170689019, -0.03690064417050135, -0.24335442125712606, 0.053155116774988444, -0.2287955655928024, -0.11985922755080868, -0.034897310642356225, 0.06668451089486056, 0.07554043634286658, -0.2311345995149829, 0.13719523561541627, 0.03214453724742105, 0.008539749182422052, -0.024149264583618126, -0.08417749397075651, -0.01794335329693488, 0.03430872053669935, 0.027424655375282533, 0.01984734469178048, 0.1710496895226904, -0.12441976340910928, -0.08211962604387239, 0.33595557480373167, -0.114962579453872, -0.19113940018313852, 0.1583413875682957, -0.19769186511720446, -0.09513855174353177, 0.13428924741773782, 0.08533006830733608, 0.1132561528420245, -0.15249761779877272, 0.1485945984504228, -0.09748254029757597, 0.17841141736716964, 0.007240446724674918, 0.039563436128876424, 0.24384028909897262, 0.18758236293744465, 0.03092061649314763, 0.10701688773168082, -0.13816251939755272, -0.08314488163768229, -0.2745449332012372, -0.13055485489947552, -0.2082335787655955, 0.131225793605501, -0.021562896461347753, -0.19920389680191875, 0.38362141786651177, 0.13895475554533981, 0.18788768090307711, 0.060135384380224755, 0.30178289688615634, 0.17381199743090706, 0.04137545199006457, 0.10566099288619378, 0.22786219347114886, 0.10814097115177322, 0.07423714680004526, -0.2859637934883887, 0.027481414034793324, 0.03684807540002194] |
712.0953 | Cardinalities of k-distance sets in Minkowski spaces | A subset of a metric space is a k-distance set if there are exactly k
non-zero distances occuring between points. We conjecture that a k-distance set
in a d-dimensional Banach space (or Minkowski space), contains at most (k+1)^d
points, with equality iff the unit ball is a parallelotope. We solve this
conjecture in the affirmative for all 2-dimensional spaces and for spaces where
the unit ball is a parallelotope. For general spaces we find various weaker
upper bounds for k-distance sets.
| math.MG math.CO | a subset of a metric space is a kdistance set if there are exactly k nonzero distances occuring between points we conjecture that a kdistance set in a ddimensional banach space or minkowski space contains at most k1d points with equality iff the unit ball is a parallelotope we solve this conjecture in the affirmative for all 2dimensional spaces and for spaces where the unit ball is a parallelotope for general spaces we find various weaker upper bounds for kdistance sets | [['a', 'subset', 'of', 'a', 'metric', 'space', 'is', 'a', 'kdistance', 'set', 'if', 'there', 'are', 'exactly', 'k', 'nonzero', 'distances', 'occuring', 'between', 'points', 'we', 'conjecture', 'that', 'a', 'kdistance', 'set', 'in', 'a', 'ddimensional', 'banach', 'space', 'or', 'minkowski', 'space', 'contains', 'at', 'most', 'k1d', 'points', 'with', 'equality', 'iff', 'the', 'unit', 'ball', 'is', 'a', 'parallelotope', 'we', 'solve', 'this', 'conjecture', 'in', 'the', 'affirmative', 'for', 'all', '2dimensional', 'spaces', 'and', 'for', 'spaces', 'where', 'the', 'unit', 'ball', 'is', 'a', 'parallelotope', 'for', 'general', 'spaces', 'we', 'find', 'various', 'weaker', 'upper', 'bounds', 'for', 'kdistance', 'sets']] | [-0.18722365332054502, 0.1300971810986219, -0.030735862602330286, 0.1162146167329478, -0.06307119354145763, -0.13026504214554105, 0.06259408076494978, 0.34553959295958464, -0.25629172057494015, -0.15996005630442572, 0.12862745876263046, -0.3383805041293395, -0.11430233851201649, 0.20654823520381785, -0.11469992085785409, 0.007553635781665367, 0.04905300590865038, 0.10705989043883703, -0.08209720548575768, -0.32959973191221553, 0.39483351816917645, -0.10196644656452132, 0.18027524615603466, 0.055628069337273454, 0.1630313565471658, 0.018492162072410185, 0.059727044166698134, 0.07393463025980537, -0.21150818478970365, 0.13493346137765014, 0.2688926171373438, 0.15525772669755014, 0.30225835163951104, -0.3229768587805239, -0.1640466143446112, 0.27728969511219564, 0.07898441982386564, -0.013451506855127252, -0.013181934311388083, -0.20915553637170864, 0.11710234707577821, -0.03460070548326145, -0.11219382712065622, -0.03818448972572101, 0.143508967736529, -0.06774954959738677, -0.3350193499598974, -0.027196609208153352, 0.09078715796823855, 0.06316715675042539, -0.1153392384984289, -0.10252060492689732, -0.02121356693757583, 0.05900605433091613, -0.07877752271963766, 0.16531518071941617, 0.022707516885144108, -0.0024986642547221967, -0.09171626469074393, 0.40299465133590096, -0.01818652623505504, -0.2931177029443652, 0.10921698340134305, -0.23620314712141766, -0.16970296232259752, 0.08688341538755247, 0.1434637259370015, 0.1481481700974666, -0.05980355992775272, 0.2489160025991028, -0.1982955874208315, 0.09662689031159252, 0.15544857777494156, 0.0523855880019255, 0.17662651707234298, 0.12481033738794518, 0.18504599357644716, 0.16535460493630832, -0.019958576900355608, -0.047605416301298706, -0.3982369625641976, -0.17643000968490485, -0.2182994315898, 0.0643332808818898, -0.14644357944349326, -0.2048654934997889, 0.2562655112821103, 0.021735045231050916, 0.2270964149063752, 0.13460078185861124, 0.2236733112461221, 0.04720769615385417, -0.0023170285017436575, 0.18283333227521292, 0.1300980650394419, 0.12250913932551573, -0.03955465418367106, -0.04628930747348033, -0.020860666598848724, 0.22744748419449654] |
712.0954 | The Numerical Simulation of Turbulence | In this contribution, I give an overview of the various approaches toward the
numerical modelling of turbulence, particularly, in the interstellar medium.
The discussion is placed in a physical context, i. e. computational problems
are motivated from basic physical considerations. Presenting selected examples
for solutions to these problems, I introduce the basic ideas of the most
commonly used numerical methods.
| astro-ph | in this contribution i give an overview of the various approaches toward the numerical modelling of turbulence particularly in the interstellar medium the discussion is placed in a physical context i e computational problems are motivated from basic physical considerations presenting selected examples for solutions to these problems i introduce the basic ideas of the most commonly used numerical methods | [['in', 'this', 'contribution', 'i', 'give', 'an', 'overview', 'of', 'the', 'various', 'approaches', 'toward', 'the', 'numerical', 'modelling', 'of', 'turbulence', 'particularly', 'in', 'the', 'interstellar', 'medium', 'the', 'discussion', 'is', 'placed', 'in', 'a', 'physical', 'context', 'i', 'e', 'computational', 'problems', 'are', 'motivated', 'from', 'basic', 'physical', 'considerations', 'presenting', 'selected', 'examples', 'for', 'solutions', 'to', 'these', 'problems', 'i', 'introduce', 'the', 'basic', 'ideas', 'of', 'the', 'most', 'commonly', 'used', 'numerical', 'methods']] | [-0.07955797118290017, 0.03322612003175891, -0.05212688053337236, 0.06956810963650545, -0.07807371662929655, -0.1187524654980128, -0.008337960407758752, 0.34168984442949296, -0.27771645491981567, -0.28520342089856665, 0.11971971306678218, -0.26662123315812397, -0.14712561179573339, 0.22174232103861868, -0.07950907115203638, 0.03214625993471903, 0.01989177061089625, -0.06425309265032411, -0.044832499635716276, -0.22850970335227128, 0.35084718900422257, 0.0736851370582978, 0.21700173673064757, 0.04908896752167493, 0.03467647581807493, -0.07811901348953446, -0.1467833321231107, 0.030680817272514104, -0.20312380025473734, 0.1626844119746238, 0.2983827415155247, 0.19301963516821463, 0.3204225324715177, -0.4916807109179596, -0.2333914651768282, 0.03308316451730207, 0.1464065490794989, 0.1272178854162727, -0.0934215672275362, -0.24441076641281445, 0.028062657670428356, -0.12466131808857123, -0.15268666010427598, -0.03243154316054036, 0.022789273442079625, 0.059745334663117926, -0.20483710560947657, -0.005420422150442998, 0.04317239951342344, 0.10151848391008873, -0.07131912083908294, -0.18990979911759495, 0.0906766094713627, 0.08793277472723275, 0.07821120977945005, -0.03287890526504877, 0.12658729967661203, -0.1642117592312085, -0.12509671461302788, 0.4470962093522151, 0.03471103113455077, -0.20394732338997226, 0.24643476099396747, -0.05093961960325639, -0.19416039345475536, 0.08297924848739058, 0.16806819910028328, 0.1183890669606626, -0.14867400031847258, 0.05800457772177955, -0.027534497532663713, 0.08174192697818701, -0.03517278421204537, 0.040113782556727526, 0.18900454413766662, 0.21121799719209472, -0.012731438657889763, 0.117523837244759, -0.03335801089803378, -0.11332992600897948, -0.3898191949663063, -0.10385209103502954, -0.12983176050086817, 0.03135319827124476, -0.08483598880314579, -0.1181882859673351, 0.39948405681643634, 0.2346786949628343, 0.17272245660424232, -0.028646193623232345, 0.3171728657791391, 0.09945588040379032, -0.03928946310188621, 0.0698027040110901, 0.25483135108758387, 0.15794055700923007, 0.14236435011650125, -0.14460624382287884, 0.03527318959822878, 0.07548783188685775] |
712.0955 | Tunneling of interacting one-dimensional electrons through a single
scatterer: Luttinger liquid behavior in the Hartree-Fock model | We study tunneling of weakly-interacting spinless electrons at zero
temperature through a single delta-barrier in one-dimensional wires and rings
of finite lengths. Our numerical calculations are based on the self-consistent
Hartree-Fock approximation, nevertheless, our results exhibit features known
from correlated many-body models. In particular, the transmission in a wire of
length L at the Fermi level is proportional to $L^{-2\alpha}$ with the
universal power $\alpha$ (depending on the electron-electron interaction only,
not on the strength of the delta-barrier). Similarly, the persistent current in
a ring of the circumference $L$ obeys the rule $I\propto L^{-1-\alpha}$ known
from the Luttinger liquid and Hubbard models. We show that the transmission at
the Fermi level in the wire is related to the persistent current in the ring at
the magnetic flux h/4e.
| cond-mat.mes-hall | we study tunneling of weaklyinteracting spinless electrons at zero temperature through a single deltabarrier in onedimensional wires and rings of finite lengths our numerical calculations are based on the selfconsistent hartreefock approximation nevertheless our results exhibit features known from correlated manybody models in particular the transmission in a wire of length l at the fermi level is proportional to l2alpha with the universal power alpha depending on the electronelectron interaction only not on the strength of the deltabarrier similarly the persistent current in a ring of the circumference l obeys the rule ipropto l1alpha known from the luttinger liquid and hubbard models we show that the transmission at the fermi level in the wire is related to the persistent current in the ring at the magnetic flux h4e | [['we', 'study', 'tunneling', 'of', 'weaklyinteracting', 'spinless', 'electrons', 'at', 'zero', 'temperature', 'through', 'a', 'single', 'deltabarrier', 'in', 'onedimensional', 'wires', 'and', 'rings', 'of', 'finite', 'lengths', 'our', 'numerical', 'calculations', 'are', 'based', 'on', 'the', 'selfconsistent', 'hartreefock', 'approximation', 'nevertheless', 'our', 'results', 'exhibit', 'features', 'known', 'from', 'correlated', 'manybody', 'models', 'in', 'particular', 'the', 'transmission', 'in', 'a', 'wire', 'of', 'length', 'l', 'at', 'the', 'fermi', 'level', 'is', 'proportional', 'to', 'l2alpha', 'with', 'the', 'universal', 'power', 'alpha', 'depending', 'on', 'the', 'electronelectron', 'interaction', 'only', 'not', 'on', 'the', 'strength', 'of', 'the', 'deltabarrier', 'similarly', 'the', 'persistent', 'current', 'in', 'a', 'ring', 'of', 'the', 'circumference', 'l', 'obeys', 'the', 'rule', 'ipropto', 'l1alpha', 'known', 'from', 'the', 'luttinger', 'liquid', 'and', 'hubbard', 'models', 'we', 'show', 'that', 'the', 'transmission', 'at', 'the', 'fermi', 'level', 'in', 'the', 'wire', 'is', 'related', 'to', 'the', 'persistent', 'current', 'in', 'the', 'ring', 'at', 'the', 'magnetic', 'flux', 'h4e']] | [-0.18417178187155514, 0.15678578529696097, -0.04189420456714288, 0.053896822793831234, 0.022677897533867508, -0.18475881293488783, 0.06678394082337036, 0.33615473459940404, -0.2563910784374457, -0.23092688298493158, 0.0010365858706791187, -0.3377692935464438, -0.07142230506360647, 0.1954081877029239, 0.03824270579207223, -0.0026502478249312844, -0.014161210869133356, 0.0731777711189352, -0.10345503598182404, -0.21788019443010853, 0.2977182887489107, 0.07720470560707327, 0.2814202882582322, 0.10502955278207082, 0.03365846862652688, 0.0336822424105776, 0.04743609402430593, 0.042572231650410686, -0.15477562204824835, 0.027036340321501484, 0.20563311324377764, -0.09265915640207822, 0.19262341552530415, -0.45727692046784796, -0.1758094548349618, 0.019935264614105108, 0.14044983836993197, 0.10638980196381453, 0.02334790041004453, -0.25510890544683207, 0.03940349905496987, -0.17900417346390896, -0.139715432182129, -0.016473962024974753, 0.02516482001510667, 0.0693783547228577, -0.20443057174634305, 0.10584608102726634, 0.04150248484893382, 0.04114695117590372, -0.04685520024031575, -0.08978735089476686, -0.020910645376716275, 0.04271099494144437, 0.022878813953866484, 0.02022997030553597, 0.1574906118803483, -0.14977196936342807, -0.08992736976142623, 0.34599203116522403, -0.1079912500881619, -0.15322543729416793, 0.18765587447160215, -0.21407829162444614, -0.08500468272904982, 0.16889112626995484, 0.08524682301595021, 0.07146423676385893, -0.09711329700076021, 0.13053618679168721, -0.09269975843926659, 0.17621168306482105, 0.014951356995879905, 0.028111060357332462, 0.2683041829295689, 0.182221221501095, 0.047265846777463594, 0.1065522775043064, -0.15849109522423532, -0.0832258854943575, -0.3105459039870766, -0.10217133459264005, -0.23729558012746566, 0.06705059571879701, -0.03649839664990395, -0.19001599872353836, 0.42013184145616833, 0.14158862848125864, 0.18146061453444418, 0.04586975384518155, 0.27040749495790806, 0.15059222731360933, 0.08658484894840512, 0.08563229918217985, 0.21470695474954482, 0.13194810641016375, 0.06161024043285579, -0.3143347028817516, 0.022226423268875806, 0.05555179140355904] |
712.0956 | Affine Algebraic Varieties | In this paper, we give new criteria for affineness of a variety defined over
$\Bbb{C}$. Our main result is that an irreducible algebraic variety $Y$ (may be
singular) of dimension $d$ ($d\geq 1$) defined over $\Bbb{C}$ is an affine
variety if and only if $Y$ contains no complete curves, $H^i(Y,
{\mathcal{O}}_Y)=0$ for all $i>0$ and the boundary $X-Y$ is support of a big
divisor, where $X$ is a projective variety containing $Y$. We construct three
examples to show that a variety is not affine if it only satisfies two
conditions among these three conditions. We also give examples to demonstrate
the difference between the behavior of the boundary divisor $D$ and the
affineness of $Y$. If $Y$ is an affine variety, then the ring $\Gamma (Y,
{\mathcal{O}}_Y)$ is noetherian. However, to prove that $Y$ is an affine
variety, we do not start from this ring. We explain why we do not need to check
the noetherian property of the ring $\Gamma (Y, {\mathcal{O}}_Y)$ directly but
use the techniques of sheaf and cohomology.
| math.AG math.CV | in this paper we give new criteria for affineness of a variety defined over bbbc our main result is that an irreducible algebraic variety y may be singular of dimension d dgeq 1 defined over bbbc is an affine variety if and only if y contains no complete curves hiy mathcalo_y0 for all i0 and the boundary xy is support of a big divisor where x is a projective variety containing y we construct three examples to show that a variety is not affine if it only satisfies two conditions among these three conditions we also give examples to demonstrate the difference between the behavior of the boundary divisor d and the affineness of y if y is an affine variety then the ring gamma y mathcalo_y is noetherian however to prove that y is an affine variety we do not start from this ring we explain why we do not need to check the noetherian property of the ring gamma y mathcalo_y directly but use the techniques of sheaf and cohomology | [['in', 'this', 'paper', 'we', 'give', 'new', 'criteria', 'for', 'affineness', 'of', 'a', 'variety', 'defined', 'over', 'bbbc', 'our', 'main', 'result', 'is', 'that', 'an', 'irreducible', 'algebraic', 'variety', 'y', 'may', 'be', 'singular', 'of', 'dimension', 'd', 'dgeq', '1', 'defined', 'over', 'bbbc', 'is', 'an', 'affine', 'variety', 'if', 'and', 'only', 'if', 'y', 'contains', 'no', 'complete', 'curves', 'hiy', 'mathcalo_y0', 'for', 'all', 'i0', 'and', 'the', 'boundary', 'xy', 'is', 'support', 'of', 'a', 'big', 'divisor', 'where', 'x', 'is', 'a', 'projective', 'variety', 'containing', 'y', 'we', 'construct', 'three', 'examples', 'to', 'show', 'that', 'a', 'variety', 'is', 'not', 'affine', 'if', 'it', 'only', 'satisfies', 'two', 'conditions', 'among', 'these', 'three', 'conditions', 'we', 'also', 'give', 'examples', 'to', 'demonstrate', 'the', 'difference', 'between', 'the', 'behavior', 'of', 'the', 'boundary', 'divisor', 'd', 'and', 'the', 'affineness', 'of', 'y', 'if', 'y', 'is', 'an', 'affine', 'variety', 'then', 'the', 'ring', 'gamma', 'y', 'mathcalo_y', 'is', 'noetherian', 'however', 'to', 'prove', 'that', 'y', 'is', 'an', 'affine', 'variety', 'we', 'do', 'not', 'start', 'from', 'this', 'ring', 'we', 'explain', 'why', 'we', 'do', 'not', 'need', 'to', 'check', 'the', 'noetherian', 'property', 'of', 'the', 'ring', 'gamma', 'y', 'mathcalo_y', 'directly', 'but', 'use', 'the', 'techniques', 'of', 'sheaf', 'and', 'cohomology']] | [-0.18260167250546683, 0.04425277995794792, -0.11362606072250535, 0.04144386103349355, -0.10352735843865529, -0.1984407383345944, -0.026192081844954588, 0.397722200850737, -0.3558286681661711, -0.16540440045406712, 0.09533548874657273, -0.23796703420469867, -0.132209223137333, 0.22302073436542688, -0.15562481898266603, -0.0626960490090663, 0.027565441332647905, 0.08528010710416471, -0.09576390999341931, -0.33714237747549575, 0.39627071727231583, -0.11421074858894024, 0.21092773769050838, 0.07923209647894564, 0.12618741256404012, 0.01731137055629755, 0.014798667994053924, 0.02609570512876791, -0.16018041604509242, 0.07104703952928129, 0.3179186036262442, 0.14231831005719656, 0.199867686892257, -0.3470044397036819, -0.15506983542376582, 0.24654307313372983, 0.1393378149224993, 0.012214093345820028, -0.004794751399415819, -0.1917569632833714, 0.16867391344306218, -0.16305487940553576, -0.15172448409721256, -0.09050699562272604, 0.09675588936490172, 0.01610641376772786, -0.2833799920510501, -0.046572507325018865, 0.11132351799648912, 0.11301882804974037, -0.01062388219185831, -0.0944555749425062, -0.07549744336728884, 0.051318964287501705, -0.014046000679680967, 0.08734319043852498, 0.06503991754451657, -0.06517920242742334, -0.08164229280904264, 0.33839148476254194, -0.04971855590119958, -0.23667517096242485, 0.18340515378410654, -0.1855100510039312, -0.14059051968677735, 0.13574603969943436, 0.06662407575983226, 0.13907570212297074, -0.07604902028106153, 0.18775205697234282, -0.12609345481374903, 0.12289048973197007, 0.040670854811940126, 0.0014270075918723117, 0.13546440662021803, 0.08720050670809168, 0.09115767806600643, 0.059500441168818405, -0.06003478602232302, 0.002599599398672581, -0.40195414780584326, -0.2043207276639912, -0.13135975214245263, 0.1619164953545003, -0.07954087725751485, -0.15493093663963545, 0.33641241013127215, 0.09960681186742423, 0.235256698196206, 0.04322702769902261, 0.213347752674428, 0.02808890866512871, -0.002881444035537082, 0.075565816418213, 0.12480611306793221, 0.1434777338656953, -0.013848834272528834, -0.1265044036848635, 0.03383855661651229, 0.1187710060765419] |
712.0957 | On stable determination of potential by boundary measurements | We give new stability estimates for the Gel'fand-Calderon inverse boundary
value problem
| math.AP math-ph math.MP | we give new stability estimates for the gelfandcalderon inverse boundary value problem | [['we', 'give', 'new', 'stability', 'estimates', 'for', 'the', 'gelfandcalderon', 'inverse', 'boundary', 'value', 'problem']] | [-0.10221220459789038, -0.011515090009197593, -0.07511188051042457, 0.13076740643009543, -0.1737741269171238, -0.11923966595592599, 0.03538803973545631, 0.30499179226656753, -0.34083113896970946, -0.2612061856004099, 0.293243692528146, -0.22798931505531073, -0.08042993536219001, 0.21375657990574837, -0.10056004378323753, 0.2028506137430668, 0.10184097740178306, -0.0030015973995129266, -0.13696911092847586, -0.153448560119917, 0.3926978747670849, -0.006454793348287542, 0.2334187583376964, 0.14170560667601725, 0.0630637959887584, 0.024466092116199434, 0.05434928430865208, -0.011262545982996622, -0.36224204913014546, 0.1425942886756578, 0.18683503133555254, 0.07443324554090698, 0.2990965743859609, -0.35466899536550045, -0.16354876419063658, 0.1717702050227672, 0.09953806491103023, 0.07952361786738038, -0.11914339940994978, -0.2559676965077718, 0.11357515316922218, -0.02325083394922937, -0.19774907641112804, -0.025831758975982666, 0.005828542013963063, -0.0865105561291178, -0.404826541741689, 0.2024441440201675, 0.0007221600972115993, 0.04917413890749837, -0.28292862387994927, -0.21343720145523548, 0.1545759104192257, 0.1169243842208137, 0.058977068324262895, -0.11664703973413755, 0.022966228619528312, -0.14134832083558044, -0.08937855204567313, 0.2644241627616187, -0.03490990586578846, -0.271137402082483, 0.06728200490276019, -0.03966707726552462, -0.08406720062096913, 0.10547916094462077, 0.18715217305968204, 0.15279756796856722, -0.12005983067986865, 0.10640362774332364, -0.09869530423505542, 0.10511639357234041, 0.04321835453932484, -0.044422902166843414, 0.07324517782156666, 0.16724199087669453, 0.3149798676216354, 0.24947864872713885, -0.05218382317495222, -0.030612629217406113, -0.3836644981056452, -0.15119224848846594, -0.08372146139542262, 0.07418276742100716, -0.18166199470094094, -0.25133580279846984, 0.373001121605436, 0.22264543951799473, 0.2036947866436094, 0.1460544675743828, 0.1982554787149032, 0.2937399459381898, -0.0869894006755203, 0.08588296710513532, 0.2596229898432891, 0.1741430169592301, 0.14712450420483947, -0.2691276262824734, 0.019806756793210905, 0.3119849182742958] |
712.0958 | What is the difference between a square and a triangle? | We offer a reader-friendly introduction to the attracting edge problem (also
known as the "triangle conjecture") and its most general current solution of
Limic and Tarr\`es (2007). Little original research is reported; rather this
article ``zooms in'' to describe the essential characteristics of two different
techniques/approaches verifying the almost sure existence of the attracting
edge for the strongly edge reinforced random walk (SERRW) on a square. Both
arguments extend straightforwardly to the SERRW on even cycles. Finally, we
show that the case where the underlying graph is a triangle cannot be studied
by a simple modification of either of the two techniques.
| math.PR | we offer a readerfriendly introduction to the attracting edge problem also known as the triangle conjecture and its most general current solution of limic and tarres 2007 little original research is reported rather this article zooms in to describe the essential characteristics of two different techniquesapproaches verifying the almost sure existence of the attracting edge for the strongly edge reinforced random walk serrw on a square both arguments extend straightforwardly to the serrw on even cycles finally we show that the case where the underlying graph is a triangle cannot be studied by a simple modification of either of the two techniques | [['we', 'offer', 'a', 'readerfriendly', 'introduction', 'to', 'the', 'attracting', 'edge', 'problem', 'also', 'known', 'as', 'the', 'triangle', 'conjecture', 'and', 'its', 'most', 'general', 'current', 'solution', 'of', 'limic', 'and', 'tarres', '2007', 'little', 'original', 'research', 'is', 'reported', 'rather', 'this', 'article', 'zooms', 'in', 'to', 'describe', 'the', 'essential', 'characteristics', 'of', 'two', 'different', 'techniquesapproaches', 'verifying', 'the', 'almost', 'sure', 'existence', 'of', 'the', 'attracting', 'edge', 'for', 'the', 'strongly', 'edge', 'reinforced', 'random', 'walk', 'serrw', 'on', 'a', 'square', 'both', 'arguments', 'extend', 'straightforwardly', 'to', 'the', 'serrw', 'on', 'even', 'cycles', 'finally', 'we', 'show', 'that', 'the', 'case', 'where', 'the', 'underlying', 'graph', 'is', 'a', 'triangle', 'can', 'not', 'be', 'studied', 'by', 'a', 'simple', 'modification', 'of', 'either', 'of', 'the', 'two', 'techniques']] | [-0.127593840662898, 0.0990584015168927, -0.09397446790550168, 0.05892101800977017, -0.081319550376837, -0.15366782546701907, 0.05737774636634071, 0.3652455931472959, -0.25759385099206494, -0.25679159653608247, 0.17075747373217548, -0.26791301763597686, -0.19739364110159152, 0.17209001209568045, -0.07921201621906625, 0.033337266208495794, 0.07404606627544971, 0.06381375602719308, -0.019975735090974004, -0.26497132379727467, 0.29059828170622237, 0.022939535323530436, 0.2617572852800779, 0.10587538238097396, 0.04568194161931222, 0.05195865953209424, -0.036022645402511565, 0.06906002278279777, -0.1365967642030393, 0.1304116948458338, 0.18613160063390327, 0.09523942011098067, 0.2700450298178828, -0.42837979452157715, -0.16993437467596842, 0.12922026864088357, 0.13180868379357788, 0.10167440117308588, -0.04571978966329209, -0.2436224973991024, 0.11713971946896477, -0.13542551325276644, -0.1616628901195722, -0.02465305562987171, 0.026232088262196442, 0.00028057909109676727, -0.23015662383833768, -0.004485424554194183, 0.1461415340126765, 0.024024701300970834, -0.0008610498152480394, -0.11499555648487965, -0.011288885422276728, 0.11200765185669591, 0.02778685058589385, 0.0408013817393268, 0.0839821889883641, -0.1229867132526418, -0.1583042545455762, 0.3801698205719768, -0.03849953893075857, -0.18865778410073483, 0.219982536523744, -0.12803193880833047, -0.15960973341986914, 0.07510842103628686, 0.11856462310698598, 0.10428897637140119, -0.14844519013745916, 0.09207485515196252, -0.10286917701137788, 0.09861306322155276, 0.08010435679861617, -0.0007236659346910363, 0.16210896337894026, 0.13729474516620746, 0.12287151586379612, 0.14936936479132396, -0.02067104275949826, -0.09783557864997272, -0.2647605757652359, -0.13869126885659014, -0.2110938549846072, 0.06937044940085145, -0.07369248327214713, -0.2022857937075179, 0.4409381128339605, 0.14175305785987563, 0.21400624929546294, 0.04078405649598801, 0.26519605655674683, 0.10188802827333072, 0.02058768406806683, 0.07909700598078545, 0.23178875123766826, 0.11669899006797509, 0.06946839789173218, -0.147696221936988, 0.07653234275104949, 0.09001507785058382] |
712.0959 | Curved Herbig-Haro Jets: Simulations and Experiments | Herbig-Haro jets often show some degree of curvature along their path, in
many cases produced by the ram pressure of a side-wind. We present simulations
of both laboratory and astrophysical curved jets and experimental results from
laboratory experiments. We discuss the properties and similarities of the
laboratory and astrophysical flow, which show the formation of internal shocks
and working surfaces. In particular the results illustrate how the break-up of
the bow-shock and clumps in the flow are produced without invoking jet
variability; we also discuss how jet rotation reduces the growth of the
Rayleigh-Taylor instability in curved jets.
| astro-ph | herbigharo jets often show some degree of curvature along their path in many cases produced by the ram pressure of a sidewind we present simulations of both laboratory and astrophysical curved jets and experimental results from laboratory experiments we discuss the properties and similarities of the laboratory and astrophysical flow which show the formation of internal shocks and working surfaces in particular the results illustrate how the breakup of the bowshock and clumps in the flow are produced without invoking jet variability we also discuss how jet rotation reduces the growth of the rayleightaylor instability in curved jets | [['herbigharo', 'jets', 'often', 'show', 'some', 'degree', 'of', 'curvature', 'along', 'their', 'path', 'in', 'many', 'cases', 'produced', 'by', 'the', 'ram', 'pressure', 'of', 'a', 'sidewind', 'we', 'present', 'simulations', 'of', 'both', 'laboratory', 'and', 'astrophysical', 'curved', 'jets', 'and', 'experimental', 'results', 'from', 'laboratory', 'experiments', 'we', 'discuss', 'the', 'properties', 'and', 'similarities', 'of', 'the', 'laboratory', 'and', 'astrophysical', 'flow', 'which', 'show', 'the', 'formation', 'of', 'internal', 'shocks', 'and', 'working', 'surfaces', 'in', 'particular', 'the', 'results', 'illustrate', 'how', 'the', 'breakup', 'of', 'the', 'bowshock', 'and', 'clumps', 'in', 'the', 'flow', 'are', 'produced', 'without', 'invoking', 'jet', 'variability', 'we', 'also', 'discuss', 'how', 'jet', 'rotation', 'reduces', 'the', 'growth', 'of', 'the', 'rayleightaylor', 'instability', 'in', 'curved', 'jets']] | [-0.11471396831472461, 0.16495023783752505, -0.08770272085367113, 0.10467704261025908, -0.08602462984545499, -0.0243026479289924, -0.046199468204428495, 0.40892902612020926, -0.2516563021226273, -0.3002120315154292, 0.06935650418151398, -0.23587766689561993, -0.09436456959846677, 0.23625097718393925, -0.01027808821170914, 0.035317226113485437, 0.10863294555064366, -0.05929138285240957, -0.016492697281991035, -0.19962566412690722, 0.36172533806945595, 0.10388385595834566, 0.1925901628137395, 0.09124340647261361, 0.07990769814338763, -0.10286593207809124, -0.06916523601251598, 0.03933576552913574, -0.1637433678225367, 0.06345405208174976, 0.18347674616783552, 0.10462259740701743, 0.18324983765371738, -0.4804419286321012, -0.2544429371589605, -0.0006798921694636953, 0.13682074293171112, 0.06484507921755275, -0.11599622820313944, -0.260200788290715, 0.053026028110512664, -0.1798329121869459, -0.15087905168362267, -0.017022558637183133, -0.0366897796831873, 0.08571815945752136, -0.1882139893666822, 0.09785572978714244, 0.07012631326276222, 0.08803877752388314, -0.09956280946522494, -0.049815355564885755, -0.07596831476049763, 0.07217001690819137, 0.12271449817534612, 0.01113663534918914, 0.19737469152148282, -0.22208337956203186, -0.13802085065149836, 0.4363183490741922, -0.009941836552960532, -0.15101197235552327, 0.2669187481230011, -0.23811765011799121, -0.14090890394599767, 0.1296152437951568, 0.21496107672075077, 0.12154676062435064, -0.05713918586309087, 0.00946979928044222, -0.04302714197250197, 0.08017839079162067, 0.11018940642219494, -0.0071733470492977265, 0.19878044015259008, 0.11584216228695776, -0.03249364240957443, 0.17670058603493535, -0.17352111604330794, -0.07392607844548718, -0.3563794181872235, -0.1636494662261055, -0.061285466354872496, 0.03572039474609631, -0.12371405320419046, -0.0938259442812022, 0.3548334078502138, 0.13634468883047907, 0.2049901800382198, -0.035198623872521255, 0.30157662513760886, 0.010633110990557743, 0.008164375908767842, 0.18674062053691975, 0.3133500140479276, 0.144673346648734, 0.11497010922591601, -0.2598871281869443, 0.07620940211571145, 0.0033195800604108646] |
712.096 | Persistent current of correlated electrons in mesoscopic ring with
impurity | The persistent current of correlated electrons in a continuous
one-dimensional ring with a single scatterer is calculated by solving the
many-body Schrodinger equation for several tens of electrons interacting via
the electron-electron (e-e) interaction of finite range. The problem is solved
by the configuration-interaction (CI) and diffusion Monte Carlo (DMC) methods.
The CI and DMC results are in good agreement. In both cases, the persistent
current $I$ as a function of the ring length $L$ exhibits the asymptotic
dependence $I \propto L^{-1-\alpha}$ typical of the Luttinger liquid, where the
power $\alpha$ depends only on the e-e interaction. The numerical values of
$\alpha$ agree with the known formula of the renormalisation-group theory.
| cond-mat.mes-hall | the persistent current of correlated electrons in a continuous onedimensional ring with a single scatterer is calculated by solving the manybody schrodinger equation for several tens of electrons interacting via the electronelectron ee interaction of finite range the problem is solved by the configurationinteraction ci and diffusion monte carlo dmc methods the ci and dmc results are in good agreement in both cases the persistent current i as a function of the ring length l exhibits the asymptotic dependence i propto l1alpha typical of the luttinger liquid where the power alpha depends only on the ee interaction the numerical values of alpha agree with the known formula of the renormalisationgroup theory | [['the', 'persistent', 'current', 'of', 'correlated', 'electrons', 'in', 'a', 'continuous', 'onedimensional', 'ring', 'with', 'a', 'single', 'scatterer', 'is', 'calculated', 'by', 'solving', 'the', 'manybody', 'schrodinger', 'equation', 'for', 'several', 'tens', 'of', 'electrons', 'interacting', 'via', 'the', 'electronelectron', 'ee', 'interaction', 'of', 'finite', 'range', 'the', 'problem', 'is', 'solved', 'by', 'the', 'configurationinteraction', 'ci', 'and', 'diffusion', 'monte', 'carlo', 'dmc', 'methods', 'the', 'ci', 'and', 'dmc', 'results', 'are', 'in', 'good', 'agreement', 'in', 'both', 'cases', 'the', 'persistent', 'current', 'i', 'as', 'a', 'function', 'of', 'the', 'ring', 'length', 'l', 'exhibits', 'the', 'asymptotic', 'dependence', 'i', 'propto', 'l1alpha', 'typical', 'of', 'the', 'luttinger', 'liquid', 'where', 'the', 'power', 'alpha', 'depends', 'only', 'on', 'the', 'ee', 'interaction', 'the', 'numerical', 'values', 'of', 'alpha', 'agree', 'with', 'the', 'known', 'formula', 'of', 'the', 'renormalisationgroup', 'theory']] | [-0.14524771197623498, 0.11876209577344157, -0.029883577897389595, 0.07137290661030256, 0.023780767684215092, -0.1867005033502439, 0.00894148101681961, 0.3370382849982864, -0.2643104859141146, -0.2616231346100166, 0.007124856425877157, -0.34858861990977785, -0.061068937977406756, 0.20287501557755308, 0.09168073610478156, 0.05182035741732385, 0.04531943289403644, 0.016281987817303556, -0.119674581707128, -0.18007284745800536, 0.2626071896641054, 0.08488054073893943, 0.22995363214464337, 0.07963651115796319, 0.04930340143356909, 0.05614648756847994, 0.00715293157174512, 0.03570717055391379, -0.15924347138980421, 0.06142797441586752, 0.2183153525945051, -0.024685618429872637, 0.23842268203896982, -0.42051449658869355, -0.19407281463101572, 0.050770344289212684, 0.16236623555216267, 0.07560842467455177, -0.020386391408481374, -0.27386853056917854, 0.033328547243129565, -0.21989869427875625, -0.13352585053553823, -0.018493332606446637, 0.037949077059254724, 0.10221101534904216, -0.28172540132728247, 0.13766358914441085, -0.0031272725344778183, 0.04072780519522525, -0.06357339194132569, -0.12336342982310164, 0.0009494251991110342, 0.06554110767739313, 0.03758055839565926, 0.03688650200277701, 0.13998955414370373, -0.13835178215585248, -0.10453404471915853, 0.37835600396601465, -0.0989306602429867, -0.1767120767250523, 0.17047248611073032, -0.1830366018001695, -0.08456415916700755, 0.19153155555931833, 0.06172030003372211, 0.13170960153713152, -0.11077627306384547, 0.17432550866018376, -0.06647075823852205, 0.15711950147833867, -0.029025819775572902, 0.014126924327446194, 0.1579427766353563, 0.15059854668619632, 0.002279174240905926, 0.0981060268781106, -0.10612758344274249, -0.1589779768911031, -0.30305592495075484, -0.12270163416837317, -0.24793784227222204, 0.06069504541370112, -0.11951502359672533, -0.1662832312453706, 0.3981298063588035, 0.12473710739632717, 0.16745472269820738, 0.060268354088252596, 0.2669931375337681, 0.20531439400164764, -0.013474375714321394, 0.05354243754157545, 0.21638858412300144, 0.1447204563982768, 0.05958944904987138, -0.3181823803413961, 0.055994822232572884, 0.07226651262802382] |
712.0961 | On the evolution of multiple low mass planets embedded in a circumbinary
disc | Previous work has shown that the tidal interaction between a binary system
and a circumbinary disc leads to the formation of a large inner cavity in the
disc. Subsequent formation and inward migration of a low mass planet causes it
to become trapped at the cavity edge, where it orbits until further mass growth
or disc dispersal. The question of how systems of multiple planets in
circumbinary discs evolve has not yet been addressed. Here, we present a suite
of simulations which study the evolution of pairs of planets migrating in the
disc. We also present the results of hydrodynamic simulations of five-planet
systems, and study their long term evolution after disc dispersal using a
N-body code. For the two-planet simulations we assume that the innermost planet
has migrated to the edge of the inner cavity and remains trapped there, and
study the subsequent evolution of the system as the outermost planet migrates
inward. We find that the outcomes largely depend on the mass ratio q=m_i/m_o,
where m_i (m_o) is the mass of the innermost (outermost) planet. For q<1,
planets usually undergo dynamical scattering or orbital exchange. For values of
q>1 the systems reach equilibrium configurations in which the planets are
locked into mean motion resonances, and remain trapped at the edge of the inner
cavity without further migration. Most simulations of five-planet systems we
performed resulted in collisions and scattering events, such that only a single
planet remained in orbit about the binary. In one case however, a multiplanet
resonant system was found to be dynamically stable over long time scales,
suggesting that such systems may be observed in planet searches focussed on
close binary systems.
| astro-ph | previous work has shown that the tidal interaction between a binary system and a circumbinary disc leads to the formation of a large inner cavity in the disc subsequent formation and inward migration of a low mass planet causes it to become trapped at the cavity edge where it orbits until further mass growth or disc dispersal the question of how systems of multiple planets in circumbinary discs evolve has not yet been addressed here we present a suite of simulations which study the evolution of pairs of planets migrating in the disc we also present the results of hydrodynamic simulations of fiveplanet systems and study their long term evolution after disc dispersal using a nbody code for the twoplanet simulations we assume that the innermost planet has migrated to the edge of the inner cavity and remains trapped there and study the subsequent evolution of the system as the outermost planet migrates inward we find that the outcomes largely depend on the mass ratio qm_im_o where m_i m_o is the mass of the innermost outermost planet for q1 planets usually undergo dynamical scattering or orbital exchange for values of q1 the systems reach equilibrium configurations in which the planets are locked into mean motion resonances and remain trapped at the edge of the inner cavity without further migration most simulations of fiveplanet systems we performed resulted in collisions and scattering events such that only a single planet remained in orbit about the binary in one case however a multiplanet resonant system was found to be dynamically stable over long time scales suggesting that such systems may be observed in planet searches focussed on close binary systems | [['previous', 'work', 'has', 'shown', 'that', 'the', 'tidal', 'interaction', 'between', 'a', 'binary', 'system', 'and', 'a', 'circumbinary', 'disc', 'leads', 'to', 'the', 'formation', 'of', 'a', 'large', 'inner', 'cavity', 'in', 'the', 'disc', 'subsequent', 'formation', 'and', 'inward', 'migration', 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712.0962 | Possible persistent current in a ring made of the perfect crystalline
insulator | A mesoscopic conducting ring pierced by magnetic flux is known to support the
persistent electron current. Here we propose possibility of the persistent
current in the ring made of the perfect crystalline insulator. We consider a
ring-shaped lattice of one-dimensional "atoms" with a single energy level. We
express the Bloch states in the lattice as a linear combination of atomic
orbitals. The discrete energy level splits into the energy band which serves as
a simple model of the valence band. We show that the insulating ring (with the
valence band fully filled by electrons) supports a nonzero persistent current,
because each atomic orbital overlaps with its own tail when making one loop
around the ring. In the tight-binding limit only the neighboring orbitals
overlap. In that limit the persistent current at full filling becomes zero
which is a standard result.
| cond-mat.mes-hall | a mesoscopic conducting ring pierced by magnetic flux is known to support the persistent electron current here we propose possibility of the persistent current in the ring made of the perfect crystalline insulator we consider a ringshaped lattice of onedimensional atoms with a single energy level we express the bloch states in the lattice as a linear combination of atomic orbitals the discrete energy level splits into the energy band which serves as a simple model of the valence band we show that the insulating ring with the valence band fully filled by electrons supports a nonzero persistent current because each atomic orbital overlaps with its own tail when making one loop around the ring in the tightbinding limit only the neighboring orbitals overlap in that limit the persistent current at full filling becomes zero which is a standard result | [['a', 'mesoscopic', 'conducting', 'ring', 'pierced', 'by', 'magnetic', 'flux', 'is', 'known', 'to', 'support', 'the', 'persistent', 'electron', 'current', 'here', 'we', 'propose', 'possibility', 'of', 'the', 'persistent', 'current', 'in', 'the', 'ring', 'made', 'of', 'the', 'perfect', 'crystalline', 'insulator', 'we', 'consider', 'a', 'ringshaped', 'lattice', 'of', 'onedimensional', 'atoms', 'with', 'a', 'single', 'energy', 'level', 'we', 'express', 'the', 'bloch', 'states', 'in', 'the', 'lattice', 'as', 'a', 'linear', 'combination', 'of', 'atomic', 'orbitals', 'the', 'discrete', 'energy', 'level', 'splits', 'into', 'the', 'energy', 'band', 'which', 'serves', 'as', 'a', 'simple', 'model', 'of', 'the', 'valence', 'band', 'we', 'show', 'that', 'the', 'insulating', 'ring', 'with', 'the', 'valence', 'band', 'fully', 'filled', 'by', 'electrons', 'supports', 'a', 'nonzero', 'persistent', 'current', 'because', 'each', 'atomic', 'orbital', 'overlaps', 'with', 'its', 'own', 'tail', 'when', 'making', 'one', 'loop', 'around', 'the', 'ring', 'in', 'the', 'tightbinding', 'limit', 'only', 'the', 'neighboring', 'orbitals', 'overlap', 'in', 'that', 'limit', 'the', 'persistent', 'current', 'at', 'full', 'filling', 'becomes', 'zero', 'which', 'is', 'a', 'standard', 'result']] | [-0.186354165195371, 0.1715653017961553, -0.008141177989143347, 0.034169643194348155, -0.01146932516047465, -0.13923867621592112, 0.10839097002920295, 0.37434238203402076, -0.29300905047317166, -0.24261923763634904, 0.02048098936876548, -0.27120434064418075, -0.06116059555871678, 0.1046941072264287, 0.034354303667454844, -0.03459456578337787, 0.041163651917928035, 0.023874707466789654, -0.08400977777865981, -0.17406681945181585, 0.297259662140693, 0.056119940000852304, 0.2719502546874407, 0.06063334201795182, 0.05580863144049155, 0.039508276620680204, 0.07373184751320098, 0.044249224188804094, -0.1016520552741505, 0.12289565944353983, 0.21976162695458956, -0.06883284230051297, 0.2315193796530366, -0.48913231319082634, -0.17064429573614948, 0.023113128726669985, 0.11583883804768058, 0.13347966956540144, -0.01957106545035328, -0.25990500002434214, 0.038328070847118006, -0.20927512422370326, -0.18406106872217995, -0.04941505713920508, 0.012652076977039023, 0.01573161668742874, -0.22842404221051504, 0.07595133196695575, 0.06391475324385933, 0.037392908873568685, -0.07917490687853257, -0.09604493091880743, -0.08973164111043193, 0.0692934880093422, -0.0034963952992776676, 0.036684574657868195, 0.13595365088632597, -0.1271095865140004, -0.11982288515095466, 0.38373338321356903, -0.09511756693744766, -0.1488159964260246, 0.16867497907286244, -0.2030694735436035, -0.060943918161293756, 0.1725221704026418, 0.04716299010989522, 0.05050366990201707, -0.08510819869001612, 0.12869255955281136, -0.10623840142340799, 0.19627999323815207, 0.04411834073918206, 0.05832605462055653, 0.3278309981205634, 0.17654460807098077, 0.0898948553392464, 0.15910115587258977, -0.16098186689113, -0.09393752626076873, -0.25863470356479024, -0.16461648557534708, -0.2548767914862505, 0.08017917887939673, -0.0031906764089529006, -0.2244427959567734, 0.47029182008866754, 0.08024780800166939, 0.204407012682142, -0.02973960282147995, 0.30329870702033596, 0.14497533113130234, 0.06289404851184892, 0.07074557496900005, 0.21056209516578486, 0.11252432440607144, 0.054440862607277395, -0.23021856381757452, -0.019477816687763803, 0.04579515806731901] |
712.0963 | A p-adic approach to local analytic dynamics: analytic flows and
analytic maps tangent to the identity | In this note, we will consider the question of local equivalence of analytic
functions which fix the origin and are tangent to the identity, as well as the
question of flows of analytic vector fields. All mappings and equivalences are
considered in the non-archimedean context e.g. all norms can be considered
$p$-adic norms. We show that any two mappings $f$ and $g$ which are formally
equivalent are also analytically equivalent, and we show that analytic vector
fields generate analytic flows. We consider the related questions of roots and
centralizers for analytic mappings. In this setting, anything which can be done
formally can also be done analytically.
| math.DS math.NT | in this note we will consider the question of local equivalence of analytic functions which fix the origin and are tangent to the identity as well as the question of flows of analytic vector fields all mappings and equivalences are considered in the nonarchimedean context eg all norms can be considered padic norms we show that any two mappings f and g which are formally equivalent are also analytically equivalent and we show that analytic vector fields generate analytic flows we consider the related questions of roots and centralizers for analytic mappings in this setting anything which can be done formally can also be done analytically | [['in', 'this', 'note', 'we', 'will', 'consider', 'the', 'question', 'of', 'local', 'equivalence', 'of', 'analytic', 'functions', 'which', 'fix', 'the', 'origin', 'and', 'are', 'tangent', 'to', 'the', 'identity', 'as', 'well', 'as', 'the', 'question', 'of', 'flows', 'of', 'analytic', 'vector', 'fields', 'all', 'mappings', 'and', 'equivalences', 'are', 'considered', 'in', 'the', 'nonarchimedean', 'context', 'eg', 'all', 'norms', 'can', 'be', 'considered', 'padic', 'norms', 'we', 'show', 'that', 'any', 'two', 'mappings', 'f', 'and', 'g', 'which', 'are', 'formally', 'equivalent', 'are', 'also', 'analytically', 'equivalent', 'and', 'we', 'show', 'that', 'analytic', 'vector', 'fields', 'generate', 'analytic', 'flows', 'we', 'consider', 'the', 'related', 'questions', 'of', 'roots', 'and', 'centralizers', 'for', 'analytic', 'mappings', 'in', 'this', 'setting', 'anything', 'which', 'can', 'be', 'done', 'formally', 'can', 'also', 'be', 'done', 'analytically']] | [-0.16191057126336503, 0.09182526751966127, -0.07841549481634262, 0.15768384391591303, -0.07451825006425662, -0.10246414420599083, -0.02211582435751861, 0.39535869267892165, -0.33968341032499977, -0.21466244686008343, 0.13353024933702434, -0.23855598900634092, -0.19265742758991863, 0.20189212158515626, -0.07350461260538618, 0.04189867273254214, 0.013268544268355055, 0.06588761998727075, -0.06948493673237709, -0.2906433182970603, 0.40654380106419885, -0.05177702222300588, 0.18119954465413993, 0.07839364169235781, 0.0664291984647653, -0.029349125772363174, -0.01659214653443756, 0.04134125690599728, -0.1318541205855238, 0.1172440712173241, 0.3262215193958496, 0.15368211207876228, 0.2322841022066983, -0.42466935687610563, -0.18074816251437198, 0.17913343796928255, 0.17587668080372135, 0.03503918352664255, 0.0009350107569809792, -0.26004101641318006, 0.1172394978084584, -0.12736377610280267, -0.12403700180914042, -0.12826756593982144, 0.00602898056144422, 0.07702393213864679, -0.2830251593599623, 0.021339481094092096, 0.10743152849565102, 0.0916479831968711, -0.10233572881914815, -0.062013785328434885, -0.006616772396296685, 0.14551938182832497, 0.05654338304026718, 0.06564377840028478, 0.10094855614621544, -0.06254676920262973, -0.10706434423710166, 0.3862668308780862, -0.08049118306206644, -0.2974637091919815, 0.16661006011912283, -0.15395205283432073, -0.13200193420403972, 0.018547467000009317, 0.1509207775333088, 0.14940339114894774, -0.14698864847316212, 0.16691548110783222, -0.12184683008576339, 0.06722285688134297, 0.09868587479917859, 0.002938081853021428, 0.15881244139965484, -0.021138605470593385, 0.04011132925603855, 0.15007263923366992, 0.0693226525085574, -0.05682651785571339, -0.34551587045403587, -0.1724242057897291, -0.09854294317730544, 0.08791051767239312, -0.06529133022641477, -0.13352041134505338, 0.3857328830251716, 0.17154321969346195, 0.2138735270830539, 0.10141672055733408, 0.24204892610674197, 0.14793181441777017, 0.027073916856129216, 0.08947701362101827, 0.20575765590183437, 0.15024167747359793, -0.010070131634766201, -0.08461565760245442, 0.02016748590306994, 0.13305973518147785] |
712.0964 | High resolution quantization and entropy coding of jump processes | We study the quantization problem for certain types of jump processes. The
probabilities for the number of jumps are assumed to be bounded by Poisson
weights. Otherwise, jump positions and increments can be rather generally
distributed and correlated. We show in particular that in many cases entropy
coding error and quantization error have distinct rates. Finally, we
investigate the quantization problem for the special case of
$\mathbb{R}^d$-valued compound Poisson processes.
| math.PR | we study the quantization problem for certain types of jump processes the probabilities for the number of jumps are assumed to be bounded by poisson weights otherwise jump positions and increments can be rather generally distributed and correlated we show in particular that in many cases entropy coding error and quantization error have distinct rates finally we investigate the quantization problem for the special case of mathbbrdvalued compound poisson processes | [['we', 'study', 'the', 'quantization', 'problem', 'for', 'certain', 'types', 'of', 'jump', 'processes', 'the', 'probabilities', 'for', 'the', 'number', 'of', 'jumps', 'are', 'assumed', 'to', 'be', 'bounded', 'by', 'poisson', 'weights', 'otherwise', 'jump', 'positions', 'and', 'increments', 'can', 'be', 'rather', 'generally', 'distributed', 'and', 'correlated', 'we', 'show', 'in', 'particular', 'that', 'in', 'many', 'cases', 'entropy', 'coding', 'error', 'and', 'quantization', 'error', 'have', 'distinct', 'rates', 'finally', 'we', 'investigate', 'the', 'quantization', 'problem', 'for', 'the', 'special', 'case', 'of', 'mathbbrdvalued', 'compound', 'poisson', 'processes']] | [-0.13496147633663247, 0.14725465570975627, -0.02677738080466432, 0.09940952679940633, -0.020622073912194797, -0.16474084517519388, 0.09045171807852707, 0.4203131864645651, -0.34030212434673945, -0.21617277935147286, 0.1269123666287799, -0.24513615385429668, -0.16828868292006, 0.17636688607079642, -0.12873768595246865, 0.06582939738873392, 0.03016367590587054, 0.07157577063356127, -0.0545633522627343, -0.2739901475608349, 0.35036730703931035, 0.047275869335447036, 0.2810953613370657, -0.029144067516816512, 0.08235016415918446, -0.00476848905506943, -0.024001850001513957, 0.027072704781494393, -0.12479120713511033, 0.04371905472196106, 0.258972877530115, 0.02849789211260421, 0.26104579802070343, -0.39656934128808125, -0.2378754715701299, 0.15721061050426216, 0.14292952232728048, 0.11624420943803021, -0.015590865604047264, -0.25457448335364463, 0.11420886309019157, -0.14360160058630364, -0.057628899779436846, -0.04696243802484657, 0.007440583314746618, 0.0873724163875782, -0.3191690838363554, 0.11264318379440479, 0.09216193378503834, 0.008901088811191065, -0.06872317021646138, -0.1498787244549021, 0.039053713556911264, 0.11797861490132554, 0.053881338730986626, -0.05058134816520448, 0.11617202579842083, -0.07894644016300195, -0.14666672093527658, 0.33018747329978004, -0.00020704635701674436, -0.3024099289572665, 0.13416725184236253, -0.16505498488965845, -0.18144149623944292, 0.13322005254781938, 0.19173280962609818, 0.11862741077451834, -0.1497219375068588, 0.07731858060578815, -0.0010262060843940293, 0.08127021615260414, 0.10389735643485827, 0.06372833393647202, 0.1418661021893578, 0.06356551902302142, 0.08420655617706611, 0.1522978006030566, -0.11072436007005827, -0.18982803278735705, -0.3382212967212711, -0.15927240885794164, -0.18034708938960517, 0.05432445085274854, -0.11010933889545933, -0.17737505811133555, 0.3176258015712457, 0.13091451954761787, 0.2181916474497744, 0.10345652736723424, 0.20451734265578644, 0.2177112415299884, -0.03707066202270133, 0.07205230185895094, 0.13322087094586874, 0.15581507758969174, 0.035898376803379504, -0.15678093998825976, 0.1291526076916073, 0.03919888094262985] |
712.0965 | Estimating the total infrared luminosity of galaxies up to z~2 from mid-
and far-infrared observations | We present the observed correlations between rest-frame 8, 24, 70 and 160 um
monochromatic luminosities and measured total infrared luminosities L_IR of
galaxies detected by Spitzer. Our sample consists of 372 star-forming galaxies
with individual detections and flux measurements at 8, 24, 70 and 160 um. We
have spectroscopic redshifts for 93% of these sources, and accurate photometric
redshifts for the remainder. We also used a stacking analysis to measure the IR
fluxes of fainter sources at higher redshifts. We show that the monochromatic
mid and far-infrared luminosities are strongly correlated with the total
infrared luminosity and our stacking analysis confirms that these correlations
also hold at higher redshifts. We provide relations between monochromatic
luminosities and total infrared luminosities L_IR that should be reliable up to
z~2 (z~1.1) for ULIRGs (LIRGs). In particular, we can predict L_IR with
accuracies of 37% and 54% from the 8 and 24 um fluxes, while the best tracer is
the 70 um flux. Combining bands leads to slightly more accurate estimates. For
example, combining the 8 and 24 um luminosities predicts L_IR with an accuracy
of 34%. Our results are generally compatible with previous studies, and the
small changes are probably due to differences in the sample selection criteria.
We can rule out strong evolution in dust properties with redshift up to z~1.
Finally, we show that infrared and sub-millimeter observations are
complementary means of building complete samples of star-forming galaxies, with
the former being more sensitive for z<~2 and the latter at higher z>~2.
| astro-ph | we present the observed correlations between restframe 8 24 70 and 160 um monochromatic luminosities and measured total infrared luminosities l_ir of galaxies detected by spitzer our sample consists of 372 starforming galaxies with individual detections and flux measurements at 8 24 70 and 160 um we have spectroscopic redshifts for 93 of these sources and accurate photometric redshifts for the remainder we also used a stacking analysis to measure the ir fluxes of fainter sources at higher redshifts we show that the monochromatic mid and farinfrared luminosities are strongly correlated with the total infrared luminosity and our stacking analysis confirms that these correlations also hold at higher redshifts we provide relations between monochromatic luminosities and total infrared luminosities l_ir that should be reliable up to z2 z11 for ulirgs lirgs in particular we can predict l_ir with accuracies of 37 and 54 from the 8 and 24 um fluxes while the best tracer is the 70 um flux combining bands leads to slightly more accurate estimates for example combining the 8 and 24 um luminosities predicts l_ir with an accuracy of 34 our results are generally compatible with previous studies and the small changes are probably due to differences in the sample selection criteria we can rule out strong evolution in dust properties with redshift up to z1 finally we show that infrared and submillimeter observations are complementary means of building complete samples of starforming galaxies with the former being more sensitive for z2 and the latter at higher z2 | [['we', 'present', 'the', 'observed', 'correlations', 'between', 'restframe', '8', '24', '70', 'and', '160', 'um', 'monochromatic', 'luminosities', 'and', 'measured', 'total', 'infrared', 'luminosities', 'l_ir', 'of', 'galaxies', 'detected', 'by', 'spitzer', 'our', 'sample', 'consists', 'of', '372', 'starforming', 'galaxies', 'with', 'individual', 'detections', 'and', 'flux', 'measurements', 'at', '8', '24', 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'while', 'the', 'best', 'tracer', 'is', 'the', '70', 'um', 'flux', 'combining', 'bands', 'leads', 'to', 'slightly', 'more', 'accurate', 'estimates', 'for', 'example', 'combining', 'the', '8', 'and', '24', 'um', 'luminosities', 'predicts', 'l_ir', 'with', 'an', 'accuracy', 'of', '34', 'our', 'results', 'are', 'generally', 'compatible', 'with', 'previous', 'studies', 'and', 'the', 'small', 'changes', 'are', 'probably', 'due', 'to', 'differences', 'in', 'the', 'sample', 'selection', 'criteria', 'we', 'can', 'rule', 'out', 'strong', 'evolution', 'in', 'dust', 'properties', 'with', 'redshift', 'up', 'to', 'z1', 'finally', 'we', 'show', 'that', 'infrared', 'and', 'submillimeter', 'observations', 'are', 'complementary', 'means', 'of', 'building', 'complete', 'samples', 'of', 'starforming', 'galaxies', 'with', 'the', 'former', 'being', 'more', 'sensitive', 'for', 'z2', 'and', 'the', 'latter', 'at', 'higher', 'z2']] | [-0.007194772717636635, 0.09601683969489082, -0.03286682580601409, 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-0.18020379254353266, -0.03854647819769098, -0.021578847530364723] |
712.0966 | On the Dirichlet problem for prescribed mean curvature equation over
general domains | We study and solve the Dirichlet problem for graphs of prescribed mean
curvature in $\mathbb R^{n+1}$ over general domains $\Omega$ without requiring
a mean convexity assumption. By using pieces of nodoids as barriers we first
give sufficient conditions for the solvability in case of zero boundary values.
Applying a result by Schulz and Williams we can then also solve the Dirichlet
problem for boundary values satisfying a Lipschitz condition.
| math.DG math.AP | we study and solve the dirichlet problem for graphs of prescribed mean curvature in mathbb rn1 over general domains omega without requiring a mean convexity assumption by using pieces of nodoids as barriers we first give sufficient conditions for the solvability in case of zero boundary values applying a result by schulz and williams we can then also solve the dirichlet problem for boundary values satisfying a lipschitz condition | [['we', 'study', 'and', 'solve', 'the', 'dirichlet', 'problem', 'for', 'graphs', 'of', 'prescribed', 'mean', 'curvature', 'in', 'mathbb', 'rn1', 'over', 'general', 'domains', 'omega', 'without', 'requiring', 'a', 'mean', 'convexity', 'assumption', 'by', 'using', 'pieces', 'of', 'nodoids', 'as', 'barriers', 'we', 'first', 'give', 'sufficient', 'conditions', 'for', 'the', 'solvability', 'in', 'case', 'of', 'zero', 'boundary', 'values', 'applying', 'a', 'result', 'by', 'schulz', 'and', 'williams', 'we', 'can', 'then', 'also', 'solve', 'the', 'dirichlet', 'problem', 'for', 'boundary', 'values', 'satisfying', 'a', 'lipschitz', 'condition']] | [-0.1424019731964697, 0.043401263667927945, -0.06573071847121943, 0.04565983582014108, -0.12253449540859197, -0.1405970509068164, 0.02390019898987649, 0.356972538811319, -0.2948492666268173, -0.25936194770175086, 0.16467607294222997, -0.21881045216201422, -0.08977642217103173, 0.1708958277817788, -0.12349420034682707, 0.11161555659739808, 0.0993093364762471, 0.056830850594183975, -0.0895223647410817, -0.24932383680510717, 0.4108093131114455, -0.09091091336792007, 0.18186376161654205, 0.13830631354700446, 0.10694749975193511, -0.0026181669262073494, 0.05355127353344441, 0.062300631201223415, -0.25195198674576685, 0.06956830399918973, 0.20869823962600684, 0.07383791539434563, 0.32643875410480283, -0.4535436648875475, -0.22305711358100833, 0.2018959085826817, 0.12335092153208439, 0.015202537350192228, -0.008951789466664195, -0.2739518216694705, 0.15602563585921683, -0.031047914844855445, -0.169315387508558, -0.03834405123694416, 0.0034652407390668113, 0.012101040194358896, -0.3911888701841235, 0.12218814912579118, 0.10136471242260407, 0.10564933362526491, -0.21165372412103942, -0.11394876182962702, 0.03548126390395576, 0.06882381991839365, 0.02880397191791631, 0.020594445259228128, 0.009774692815399784, -0.1036803235354669, -0.08810886611942859, 0.33931552370845836, -0.07546920458074002, -0.33442466810126514, 0.06601250933154541, -0.1024438259876607, -0.12037588056067333, 0.05709063763702836, 0.14007212137734956, 0.18567413279293654, -0.12216722244835075, 0.18685039767810582, -0.07809531354167334, 0.07907279964317293, 0.19237103544668677, -0.08076895680535338, 0.08511119991924394, 0.06438517406829358, 0.1967086399330155, 0.21558078034671352, -0.0011060269042739972, -0.06989738222567693, -0.371409684748334, -0.1534937893944409, -0.1792985544375637, 0.08749401025638423, -0.11925503709447666, -0.17260617555995636, 0.3421577217796927, 0.0910622189848629, 0.20428493513506563, 0.1595909979660064, 0.2263562985805466, 0.12845796596700573, -0.006524407309959368, 0.10797608194544035, 0.10630882098613416, 0.19056512418148272, 0.09551765170352369, -0.13758223038166761, 0.06280425870928037, 0.13574114845216492] |
712.0967 | Universality of the de Broglie-Einstein velocity equation | The de Broglie-Einstein velocity equation is derived for a relativistic
particle by using the energy and momentum relations in terms of wave and matter
properties. It is shown that the velocity equation is independent from the
relativistic effects and is valid also for the non-relativistic case. The
results of this property is discussed.
| physics.gen-ph | the de broglieeinstein velocity equation is derived for a relativistic particle by using the energy and momentum relations in terms of wave and matter properties it is shown that the velocity equation is independent from the relativistic effects and is valid also for the nonrelativistic case the results of this property is discussed | [['the', 'de', 'broglieeinstein', 'velocity', 'equation', 'is', 'derived', 'for', 'a', 'relativistic', 'particle', 'by', 'using', 'the', 'energy', 'and', 'momentum', 'relations', 'in', 'terms', 'of', 'wave', 'and', 'matter', 'properties', 'it', 'is', 'shown', 'that', 'the', 'velocity', 'equation', 'is', 'independent', 'from', 'the', 'relativistic', 'effects', 'and', 'is', 'valid', 'also', 'for', 'the', 'nonrelativistic', 'case', 'the', 'results', 'of', 'this', 'property', 'is', 'discussed']] | [-0.10853109465544829, 0.17411114709774175, -0.14946029538539454, 0.10058338362544489, -0.06171780393029062, -0.042592650377908006, -0.07760193356527732, 0.28876722417771816, -0.23422824777662754, -0.2580405268101738, 0.033343370768796794, -0.270928114419803, -0.09651483724323603, 0.24934044295178653, 0.030189926001744773, 0.05285436762138628, 0.039978747394903064, 0.06840281869069888, -0.06774108492894672, -0.179377452040521, 0.3670942099908224, 0.08321396039369014, 0.2652368963910983, 0.07225085272847746, 0.16193106500073695, 0.023406178739745744, -0.024176109868746538, 0.07168096442742702, -0.1413230847959382, 0.03707091669695309, 0.18425559278917858, 0.0640604338358781, 0.21415128752302665, -0.3596594068221748, -0.23627636875384128, 0.031557528857285015, 0.11683707381598651, 0.14214239846198604, -0.07522754285197991, -0.28423777458598265, 0.06344519168711625, -0.1725360463337543, -0.21453794334621096, -0.026305197397820078, 0.07560458344120818, 0.06497701226124683, -0.25288728968455243, 0.17448801788123092, 0.06541149625375581, -0.03633267948260674, -0.09614455273661476, -0.08758144155861093, -0.05432263528928161, 0.03211246822208453, 0.07727391455018033, 0.019536421607391767, 0.0753204501233995, -0.1569199000368826, -0.04200150820543058, 0.4810679822873611, -0.05964825063263281, -0.27587401014394486, 0.1442453513826387, -0.13907851410420755, -0.09637185239877838, 0.11116699535005654, 0.10200200672261417, 0.11391362157435371, -0.17085198109718755, 0.1480472706439636, -0.05482191547651802, 0.11776203816183485, 0.036509967946375795, 0.04264332641525051, 0.1761338455387606, 0.0950278717881212, 0.009731665199909072, 0.07947252356321909, -0.09058013257498924, -0.10725312697916077, -0.34225975541183007, -0.19293189912031478, -0.21149631831436777, 0.000953133362110328, -0.07914586289021266, -0.08936533156520454, 0.3599190984924252, 0.13314671215350524, 0.129622956755786, 0.02505640542277923, 0.2949917001936298, 0.23273908325399345, 0.0014870741780704032, 0.12536969535554257, 0.3083152708490021, 0.20433665495455408, 0.1211754480161919, -0.23934329501263654, 0.030389152843361862, 0.09350459769708462] |
712.0968 | Projective structures, grafting, and measured laminations | We show that grafting any fixed hyperbolic surface defines a homeomorphism
from the space of measured laminations to Teichmuller space, complementing a
result of Scannell-Wolf on grafting by a fixed lamination. This result is used
to study the relationship between the complex-analytic and geometric coordinate
systems for the space of complex projective ($\CP^1$) structures on a surface.
We also study the rays in Teichmuller space associated to the grafting
coordinates, obtaining estimates for extremal and hyperbolic length functions
and their derivatives along these grafting rays.
| math.DG math.CV math.GT | we show that grafting any fixed hyperbolic surface defines a homeomorphism from the space of measured laminations to teichmuller space complementing a result of scannellwolf on grafting by a fixed lamination this result is used to study the relationship between the complexanalytic and geometric coordinate systems for the space of complex projective cp1 structures on a surface we also study the rays in teichmuller space associated to the grafting coordinates obtaining estimates for extremal and hyperbolic length functions and their derivatives along these grafting rays | [['we', 'show', 'that', 'grafting', 'any', 'fixed', 'hyperbolic', 'surface', 'defines', 'a', 'homeomorphism', 'from', 'the', 'space', 'of', 'measured', 'laminations', 'to', 'teichmuller', 'space', 'complementing', 'a', 'result', 'of', 'scannellwolf', 'on', 'grafting', 'by', 'a', 'fixed', 'lamination', 'this', 'result', 'is', 'used', 'to', 'study', 'the', 'relationship', 'between', 'the', 'complexanalytic', 'and', 'geometric', 'coordinate', 'systems', 'for', 'the', 'space', 'of', 'complex', 'projective', 'cp1', 'structures', 'on', 'a', 'surface', 'we', 'also', 'study', 'the', 'rays', 'in', 'teichmuller', 'space', 'associated', 'to', 'the', 'grafting', 'coordinates', 'obtaining', 'estimates', 'for', 'extremal', 'and', 'hyperbolic', 'length', 'functions', 'and', 'their', 'derivatives', 'along', 'these', 'grafting', 'rays']] | [-0.17043748729684877, 0.1434026495636707, -0.12938020773054587, 0.07925856862926767, -0.07120680567874972, -0.039300084413428395, 0.023402321119127528, 0.39398370527972776, -0.3194868072335209, -0.20993562388632978, 0.06798876545231212, -0.292568855353498, -0.16251017352832214, 0.24395634725113355, -0.1276205683243461, 0.06240441399582085, 0.029280536370130165, 0.022932794787699266, -0.14646068105329982, -0.20041560318176857, 0.4045288444488376, 0.03316692383738146, 0.21087893157354778, 0.04859173853488062, 0.16128433603859907, 0.032411712421370406, -0.02776850787146638, 0.03643918063885178, -0.24145769841535575, 0.1914728439656929, 0.25039179425775293, 0.06993226566174555, 0.12735486000643245, -0.3747547870235784, -0.2539061728776211, 0.166641823714599, 0.12110032992703575, 0.004997539112255687, -0.024112175687194048, -0.2862086940689811, 0.03284898444655396, -0.04914706362233985, -0.18643673841420205, -0.02725796677571322, 0.017810834155950164, 0.05545715352941659, -0.11834818175772116, -0.04772638599700128, 0.056546656093338414, 0.11333110948492374, -0.08965360424813948, -0.028797998309268484, -0.11168727428386253, 0.09887281147807482, 0.06769557113737046, 0.1440472889669417, 0.1648281057963946, -0.03678006455690289, -0.0573625065430644, 0.34362369331176434, -0.07034485946808543, -0.29584390120137305, 0.2032305924776232, -0.188841560450826, -0.15628289969615816, 0.1745965628263851, 0.17264210352940218, 0.14087060577696234, -0.05344544971428279, 0.18592087212476013, -0.032171452772759256, 0.08650101644785277, 0.14915286894843338, -0.03665906766850856, 0.15668781684888972, 0.12455752459659596, 0.16728518709229925, 0.12871581428944842, -0.051401784472372605, -0.05192515809488084, -0.35465526046408785, -0.2643468450488789, -0.174129912019929, 0.07816410351855059, -0.1806330838113527, -0.21014195403438948, 0.3677178969207619, 0.020136842371097634, 0.26835823500351536, 0.13167793951773396, 0.21426032627710984, 0.020975162636854554, 0.0358136618022053, 0.05990960031548249, 0.15362048858965172, 0.15775586795089544, -0.027683501359119657, -0.1637570009749782, 0.021809267173964707, 0.20932618261403627] |
712.0969 | Resonance enhanced isotope-selective photoionization of YbI for ion trap
loading | Neutral Ytterbium (YbI) and singly ionized Ytterbium (YbII) is widely used in
experiments in quantum optics, metrology and quantum information science. We
report on the investigation of isotope selective two-photoionisation of YbI
that allows for efficient loading of ion traps with YbII. Results are presented
on two-colour (399 nm and 369 nm) and single-colour (399 nm) photoionisation
and their efficiency is compared to electron impact ionisation. Nearly
deterministic loading of a desired number of YbII ions into a linear Paul trap
is demonstrated.
| physics.atom-ph | neutral ytterbium ybi and singly ionized ytterbium ybii is widely used in experiments in quantum optics metrology and quantum information science we report on the investigation of isotope selective twophotoionisation of ybi that allows for efficient loading of ion traps with ybii results are presented on twocolour 399 nm and 369 nm and singlecolour 399 nm photoionisation and their efficiency is compared to electron impact ionisation nearly deterministic loading of a desired number of ybii ions into a linear paul trap is demonstrated | [['neutral', 'ytterbium', 'ybi', 'and', 'singly', 'ionized', 'ytterbium', 'ybii', 'is', 'widely', 'used', 'in', 'experiments', 'in', 'quantum', 'optics', 'metrology', 'and', 'quantum', 'information', 'science', 'we', 'report', 'on', 'the', 'investigation', 'of', 'isotope', 'selective', 'twophotoionisation', 'of', 'ybi', 'that', 'allows', 'for', 'efficient', 'loading', 'of', 'ion', 'traps', 'with', 'ybii', 'results', 'are', 'presented', 'on', 'twocolour', '399', 'nm', 'and', '369', 'nm', 'and', 'singlecolour', '399', 'nm', 'photoionisation', 'and', 'their', 'efficiency', 'is', 'compared', 'to', 'electron', 'impact', 'ionisation', 'nearly', 'deterministic', 'loading', 'of', 'a', 'desired', 'number', 'of', 'ybii', 'ions', 'into', 'a', 'linear', 'paul', 'trap', 'is', 'demonstrated']] | [-0.036501820681889244, 0.2258029094408834, 0.03073269016359274, -0.03144426581523631, 0.07325790536294623, -0.23937287757445763, 0.06127180722712471, 0.46691169458009846, -0.1432899126510431, -0.29595066634256667, 0.030604159570208227, -0.29157410203440187, 0.013556180090257308, 0.2433409550477092, -0.009173528702997761, 0.09864372182452892, 0.04940682742815669, -0.06739299746639119, 0.0023641459013494415, -0.2027962932380189, 0.1796199881880567, 0.13074001671871308, 0.2940080408915514, 0.0999535127293046, 0.11580236571863657, -0.017401705755285702, 0.014265055018590718, -0.06080701422775391, -0.14678420885453616, 0.14166685996758865, 0.24198299012623908, 0.06982328360559555, 0.24353851732320903, -0.38862253700542015, -0.14211461786180735, 0.0016699667606345184, 0.14304967228573087, 0.16629780032785563, -0.12349270628594862, -0.26351494598770286, 0.002843148870075621, -0.12647611217391563, -0.08015032682607587, -0.056373373366801476, 0.03495547163481938, 0.05489295066288877, -0.29895953551820686, 0.01509840996288581, 0.013622188860786193, 0.145992090941191, -0.059034817228122136, -0.14699533001360734, -0.0005970399190739887, 0.009259925797445381, -0.12365048870205789, -0.009690971898834971, 0.2408290518470472, -0.04406444686351389, -0.09448307376672946, 0.4148215084541135, -0.10627402707923023, -0.0322787050475798, 0.16981703760783848, -0.1594621803861384, -0.04428653120597052, 0.18018610107644303, 0.1811291590196694, 0.1208937300323713, -0.1024177473708533, 0.04263325933141282, -0.01855841967299944, 0.25923325752836074, 0.14048500803424183, 0.09825770171904345, 0.1790359245567787, 0.1453735880758159, -0.008159262957278549, 0.15118306388005914, -0.15683493653607622, -0.065591100995179, -0.18461837025150576, -0.18313605577980235, -0.12387464435135083, 0.05188378733696371, -0.003977107769126788, -0.1111799667322463, 0.343600764245976, 0.12943004875262154, 0.11364790216292732, -0.10735817931637895, 0.29957806600666625, 0.05339496677014523, 0.004082488986768578, 0.01321997768927093, 0.2743301069045939, 0.22341215780868037, 0.12540639904554843, -0.2931079783806259, 0.014247794449613316, 0.019795097933128114] |
712.097 | Field Camera Unit for WSO-UV: Phase A Study Report | World Space Observatory UltraViolet (WSO-UV) is a multipurpose space
observatory, made by a 170 cm aperture telescope, capable of UV high-resolution
spectroscopy, long slit low-resolution spectroscopy, and deep UV and optical
imaging. With a nominal mission life time of 5 years, and a planned extension
to 10 years, from a geosynchronous orbit with an inclination of 51.8 degrees,
WSO-UV will provide observations of exceptional importance for the study of
many unsolved astrophysical problems. WSO-UV is implemented in the framework of
a collaboration between Russia (chair), China, Germany, Italy, Spain, and
Ukraine. This book illustrates the results of the feasibility study for the
Field Camera Unit (FCU), a multi-spectral radial instrument on the focal plane
of WSO-UV. The book provides an overview of the key science topics that are
drivers to the participation of the Italian astronomical community in the
WSO-UV project. The science drivers here illustrated have been used to define
the technical requirements for the conceptual and architectural design of the
Field Camera Unit (FCU) focal plane instrument. In Chapter I we show that
WSO-UV will give a significant contribution to solve the key astronomical
problems individuated by the ASTRONET consortium, and which are driving the
European Space Agency Cosmic Vision program. Chapter II elucidates the
scientific requirements for WSO-UV FCU instrument, discussed in Chapter I,
which are translated in a list of verifiable top level requirements usable to
make the conceptual design of the FCU instrument. Chapter III is dedicated to
the Field Camera Unit opto-mechanical design, its detectors and electronics
subsystems. Finally, Chapter IV outlines the AIV and GSE plans and activities
for the FCU instrument.
| astro-ph | world space observatory ultraviolet wsouv is a multipurpose space observatory made by a 170 cm aperture telescope capable of uv highresolution spectroscopy long slit lowresolution spectroscopy and deep uv and optical imaging with a nominal mission life time of 5 years and a planned extension to 10 years from a geosynchronous orbit with an inclination of 518 degrees wsouv will provide observations of exceptional importance for the study of many unsolved astrophysical problems wsouv is implemented in the framework of a collaboration between russia chair china germany italy spain and ukraine this book illustrates the results of the feasibility study for the field camera unit fcu a multispectral radial instrument on the focal plane of wsouv the book provides an overview of the key science topics that are drivers to the participation of the italian astronomical community in the wsouv project the science drivers here illustrated have been used to define the technical requirements for the conceptual and architectural design of the field camera unit fcu focal plane instrument in chapter i we show that wsouv will give a significant contribution to solve the key astronomical problems individuated by the astronet consortium and which are driving the european space agency cosmic vision program chapter ii elucidates the scientific requirements for wsouv fcu instrument discussed in chapter i which are translated in a list of verifiable top level requirements usable to make the conceptual design of the fcu instrument chapter iii is dedicated to the field camera unit optomechanical design its detectors and electronics subsystems finally chapter iv outlines the aiv and gse plans and activities for the fcu instrument | [['world', 'space', 'observatory', 'ultraviolet', 'wsouv', 'is', 'a', 'multipurpose', 'space', 'observatory', 'made', 'by', 'a', '170', 'cm', 'aperture', 'telescope', 'capable', 'of', 'uv', 'highresolution', 'spectroscopy', 'long', 'slit', 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712.0971 | Electromagnetic form factor via Minkowski and Euclidean Bethe-Salpeter
amplitudes | The electromagnetic form factors calculated through Euclidean Bethe-Salpeter
amplitude and through the light-front wave function are compared with the one
found using the Bethe-Salpeter amplitude in Minkowski space. The form factor
expressed through the Euclidean Bethe-Salpeter amplitude (both within and
without static approximation) considerably differs from the Minkowski one,
whereas form factor found in the light-front approach is almost
indistinguishable from it.
| hep-ph | the electromagnetic form factors calculated through euclidean bethesalpeter amplitude and through the lightfront wave function are compared with the one found using the bethesalpeter amplitude in minkowski space the form factor expressed through the euclidean bethesalpeter amplitude both within and without static approximation considerably differs from the minkowski one whereas form factor found in the lightfront approach is almost indistinguishable from it | [['the', 'electromagnetic', 'form', 'factors', 'calculated', 'through', 'euclidean', 'bethesalpeter', 'amplitude', 'and', 'through', 'the', 'lightfront', 'wave', 'function', 'are', 'compared', 'with', 'the', 'one', 'found', 'using', 'the', 'bethesalpeter', 'amplitude', 'in', 'minkowski', 'space', 'the', 'form', 'factor', 'expressed', 'through', 'the', 'euclidean', 'bethesalpeter', 'amplitude', 'both', 'within', 'and', 'without', 'static', 'approximation', 'considerably', 'differs', 'from', 'the', 'minkowski', 'one', 'whereas', 'form', 'factor', 'found', 'in', 'the', 'lightfront', 'approach', 'is', 'almost', 'indistinguishable', 'from', 'it']] | [-0.09573029958072209, 0.12564357280010177, -0.09601303717241652, 0.0956296112046637, -0.056309779617755164, -0.030584874037172523, 0.0278860442340374, 0.3326554922687431, -0.18800379116568836, -0.23550421888789824, -0.02816374376491313, -0.2887359501854066, -0.18376076349898451, 0.16329545713961124, 0.12029042641722387, 0.04902666965649734, 0.03523451897631129, 0.09516440135156436, -0.16295537005569186, -0.16896727606428846, 0.35998128745104035, -0.012563286980073298, 0.30582502210933354, -0.033052945697319605, 0.05324857516003953, 0.11218607845535923, -0.06298957999435163, 0.0033673743577486265, -0.050532647821631645, 0.05045212443257051, 0.207408195643145, 0.1051541343443997, 0.17413560220701318, -0.4407754141101313, -0.20584544333659352, 0.03041582608655576, 0.2277827080481896, 0.10269114801720265, 0.04407989753470305, -0.3480014878685676, -0.024348108308209528, -0.12944414718602335, -0.16506222291519085, -0.07470919634966601, -0.017174972506660606, -0.072045216637273, -0.2273924007651306, 0.14276483980938792, -0.09093948501733042, -0.08769789761713435, -0.11040449655434538, -0.2116332210960888, -0.024821313022966345, 0.07175326242201752, 0.06053123463531055, 0.2086579892559037, 0.126274716860104, -0.14402620198445454, -0.05619058468859763, 0.45184469655636816, -0.1027787821367383, -0.28781517281106883, 0.062027004937971794, -0.22108214820975497, 0.026641906336731008, 0.19488361854511763, 0.12479355274098775, 0.07664583662464734, -0.2135138638137329, 0.12990550845373242, 0.01425601046315522, 0.15557033072165663, 0.20033127904283785, 0.07888863148588326, 0.11569562016595755, 0.10788909372903648, -0.06225632332385548, 0.11815469642920841, 0.006582044583234576, -0.17685697104541526, -0.3147678264687138, -0.0682844985708324, -0.18861545598314655, 0.06249310463857499, -0.16357978220185032, -0.1572534521560996, 0.3437368943799107, 0.029067952411189195, 0.14393048789051752, 0.06639392493713286, 0.30781183944594476, 0.20675329108452123, 0.10179957717416747, 0.18134742242945057, 0.3438050941293759, 0.11545082527182755, 0.06892861788641781, -0.2474207583394262, 0.0024886426681111897, 0.1171175025494097] |
712.0972 | Room temperature observation of electron resonant tunneling through
InAs/AlAs quantum dots | Molecular beam epitaxy is employed to manufacture self-assembled InAs/AlAs
quantum-dot resonant tunneling diodes. Resonant tunneling current is
superimposed on the thermal current, and they make up the total electron
transport in devices. Steps in current-voltage characteristics and peaks in
capacitance-voltage characteristics are explained as electron resonant
tunneling via quantum dots at 77K or 300K, and this is the first time that
resonant tunneling is observed at room temperature in III-V quantum-dot
materials. Hysteresis loops in the curves are attributed to hot electron
injection/emission process of quantum dots, which indicates the concomitant
charging/discharging effect.
| cond-mat.mes-hall | molecular beam epitaxy is employed to manufacture selfassembled inasalas quantumdot resonant tunneling diodes resonant tunneling current is superimposed on the thermal current and they make up the total electron transport in devices steps in currentvoltage characteristics and peaks in capacitancevoltage characteristics are explained as electron resonant tunneling via quantum dots at 77k or 300k and this is the first time that resonant tunneling is observed at room temperature in iiiv quantumdot materials hysteresis loops in the curves are attributed to hot electron injectionemission process of quantum dots which indicates the concomitant chargingdischarging effect | [['molecular', 'beam', 'epitaxy', 'is', 'employed', 'to', 'manufacture', 'selfassembled', 'inasalas', 'quantumdot', 'resonant', 'tunneling', 'diodes', 'resonant', 'tunneling', 'current', 'is', 'superimposed', 'on', 'the', 'thermal', 'current', 'and', 'they', 'make', 'up', 'the', 'total', 'electron', 'transport', 'in', 'devices', 'steps', 'in', 'currentvoltage', 'characteristics', 'and', 'peaks', 'in', 'capacitancevoltage', 'characteristics', 'are', 'explained', 'as', 'electron', 'resonant', 'tunneling', 'via', 'quantum', 'dots', 'at', '77k', 'or', '300k', 'and', 'this', 'is', 'the', 'first', 'time', 'that', 'resonant', 'tunneling', 'is', 'observed', 'at', 'room', 'temperature', 'in', 'iiiv', 'quantumdot', 'materials', 'hysteresis', 'loops', 'in', 'the', 'curves', 'are', 'attributed', 'to', 'hot', 'electron', 'injectionemission', 'process', 'of', 'quantum', 'dots', 'which', 'indicates', 'the', 'concomitant', 'chargingdischarging', 'effect']] | [-0.17732788926850146, 0.24344276592831363, -0.02679752379369277, 0.013396549030373565, 0.039942099479958415, -0.24523912029913986, 0.07558028477725091, 0.45028861616175253, -0.2662769774650479, -0.29775335230342637, -0.0466107248013921, -0.3615050140236105, -0.08214991477415334, 0.2807916196672103, 0.011480136452099452, 0.06238852877036801, -0.013342776330658696, -0.11388562502247374, 0.01263956243177405, -0.1570960296737542, 0.24085176813897197, 0.06462265979140423, 0.3297563434199809, 0.14383392228366254, 0.0690882058400318, -0.026955797597970607, 0.12887359256242084, -0.0213820914338742, -0.12829401152975062, -0.022975080661925967, 0.2845063897586622, -0.14971365900914912, 0.16190022356030379, -0.5395441395077076, -0.2033281864414176, -0.032995197512618785, 0.17868358110701973, 0.1249527067040697, -0.0718260633331918, -0.21182693736525354, 0.04053716998097006, -0.058776871577560244, -0.05093733872946449, -0.03027445631316648, -0.042996059657985364, 0.025203451677993104, -0.20094776751248392, 0.0860885742586106, -0.008279462498459187, 0.05350822355639148, -0.0011830906107686563, -0.07096752883088621, -0.021143705604577456, 0.006338641551517687, -0.02895178078900214, -0.03227623229191362, 0.34141327672290034, -0.05377947356408605, -0.20907664149590247, 0.3245349276534558, -0.06233920447354379, -0.004946327164441675, 0.1294056947552855, -0.2600800456315443, -0.016800142338519897, 0.20691250938062483, 0.07178405879044926, 0.10789262466030297, -0.18854477740875394, 0.051607334001916, 0.08086412975175696, 0.14993517206992013, 0.13395379209420183, 0.12862850340328866, 0.29736486268690326, 0.19655282566180596, -0.022110213162275134, 0.10026129892807208, -0.1578975980461749, -0.050297058499571716, -0.19081320585990016, -0.19068458352422157, -0.20470888966279985, 0.14068885968619405, -0.004583805333343232, -0.2011209859175014, 0.4049088021658443, 0.11607460952926796, 0.16311057818705563, -0.08809626282187649, 0.36071327869053726, 0.18442679399235562, 0.09119591788020354, -0.019537700851867488, 0.2123473896696181, 0.19544069124078686, 0.15272018944865073, -0.3651245096493717, 0.10199327471123619, -0.0947904976463498] |
712.0973 | Nucleosome shape dictates chromatin-fiber structure | Apart from being the gateway for all access to the eukaryotic genome,
chromatin has in recent years been identified as carrying an epigenetic code
regulating transcriptional activity. The detailed knowledge of this code
contrasts the ignorance of the fiber structure which it regulates, and none of
the suggested fiber models are capable of predicting the most basic quantities
of the fiber (diameter, nucleosome line density, etc.). We address this
three-decade-old problem by constructing a simple geometrical model based on
the nucleosome shape alone. Without fit parameters we predict the observed
properties of the condensed chromatin fiber (e.g. its 30 nm diameter), the
structure, and how the fiber changes with varying nucleosome repeat length. Our
approach further puts the plethora of previously suggested models within a
coherent framework, and opens the door to detailed studies of the interplay
between chromatin structure and function.
| q-bio.OT | apart from being the gateway for all access to the eukaryotic genome chromatin has in recent years been identified as carrying an epigenetic code regulating transcriptional activity the detailed knowledge of this code contrasts the ignorance of the fiber structure which it regulates and none of the suggested fiber models are capable of predicting the most basic quantities of the fiber diameter nucleosome line density etc we address this threedecadeold problem by constructing a simple geometrical model based on the nucleosome shape alone without fit parameters we predict the observed properties of the condensed chromatin fiber eg its 30 nm diameter the structure and how the fiber changes with varying nucleosome repeat length our approach further puts the plethora of previously suggested models within a coherent framework and opens the door to detailed studies of the interplay between chromatin structure and function | [['apart', 'from', 'being', 'the', 'gateway', 'for', 'all', 'access', 'to', 'the', 'eukaryotic', 'genome', 'chromatin', 'has', 'in', 'recent', 'years', 'been', 'identified', 'as', 'carrying', 'an', 'epigenetic', 'code', 'regulating', 'transcriptional', 'activity', 'the', 'detailed', 'knowledge', 'of', 'this', 'code', 'contrasts', 'the', 'ignorance', 'of', 'the', 'fiber', 'structure', 'which', 'it', 'regulates', 'and', 'none', 'of', 'the', 'suggested', 'fiber', 'models', 'are', 'capable', 'of', 'predicting', 'the', 'most', 'basic', 'quantities', 'of', 'the', 'fiber', 'diameter', 'nucleosome', 'line', 'density', 'etc', 'we', 'address', 'this', 'threedecadeold', 'problem', 'by', 'constructing', 'a', 'simple', 'geometrical', 'model', 'based', 'on', 'the', 'nucleosome', 'shape', 'alone', 'without', 'fit', 'parameters', 'we', 'predict', 'the', 'observed', 'properties', 'of', 'the', 'condensed', 'chromatin', 'fiber', 'eg', 'its', '30', 'nm', 'diameter', 'the', 'structure', 'and', 'how', 'the', 'fiber', 'changes', 'with', 'varying', 'nucleosome', 'repeat', 'length', 'our', 'approach', 'further', 'puts', 'the', 'plethora', 'of', 'previously', 'suggested', 'models', 'within', 'a', 'coherent', 'framework', 'and', 'opens', 'the', 'door', 'to', 'detailed', 'studies', 'of', 'the', 'interplay', 'between', 'chromatin', 'structure', 'and', 'function']] | [-0.11764840222234633, 0.08793898432192324, -0.05075431328451802, 0.04603194669450481, -0.06196850408297957, -0.12947520139092145, 0.046727524378422834, 0.3972661480173825, -0.2720870885722247, -0.30998637578747373, 0.02866492805100898, -0.22359697250170463, -0.19803343442225738, 0.2056025658281692, -0.04392468899732839, 0.0454467635916328, 0.057266073199055086, 0.0011085797074838733, 0.010951458654822187, -0.16395470244374047, 0.300031194397321, 0.12483661135671832, 0.29306389030121954, 0.057698461151160035, 0.10122497356661879, -0.01718941382099445, -0.05862386894935795, -0.029885416239473626, -0.19548840501266432, 0.19634047191444964, 0.20719045393090696, 0.1567692649534223, 0.25349760374404384, -0.4371268641705631, -0.2934478662482047, 0.06909499549247483, 0.1330434545229151, 0.13899234757929585, -0.02229906392204476, -0.2561097767349359, 0.07613263868706975, -0.16168577853154312, -0.1466374259148163, -0.04591262650078308, 0.011077483069045957, 0.0480193810435078, -0.15928624375147005, 0.05197589574315658, 0.017949112339262316, 0.09887676013646819, -0.05091475821281816, -0.07985250915133177, -0.05779775012786507, 0.20809168297572866, 0.032599061730000725, 0.031092467985333914, 0.2157414046690819, -0.1236919453532719, -0.11004357795389567, 0.36522309365186917, 0.0061823570512974935, -0.1464200623478767, 0.1573014797408345, -0.11041957599190162, -0.15232741698649124, 0.15074495163726362, 0.12197257448912513, 0.060177855489194285, -0.14728754418134254, 0.03700267642419389, -0.027171405469040975, 0.2406819787591445, 0.09358011154253168, 0.05482421531374996, 0.22953931122674798, 0.24652913510006794, -0.010217451873559056, 0.10959714793117968, -0.12111518277905564, -0.12152217875452752, -0.24579803552561116, -0.11213408216007602, -0.11430140019060898, 0.024211459337396823, -0.0920946493159471, -0.14845988242919986, 0.44879186412993266, 0.09544713531640615, 0.2316061816622457, 0.025687336164579484, 0.2595595284332092, -0.022762709287332095, 0.1495078002525401, 0.011240411331837482, 0.21819690006937012, 0.11940679617361528, 0.05973444155793875, -0.24905954630127347, 0.12241232239043486, 0.02202179677724997] |
712.0974 | Editorial: Statistics and forensic science | Forensic science is usually taken to mean the application of a broad spectrum
of scientific tools to answer questions of interest to the legal system.
Despite such popular television series as CSI: Crime Scene Investigation and
its spinoffs--CSI: Miami and CSI: New York--on which the forensic scientists
use the latest high-tech scientific tools to identify the perpetrator of a
crime and always in under an hour, forensic science is under assault, in the
public media, popular magazines [Talbot (2007), Toobin (2007)] and in the
scientific literature [Kennedy (2003), Saks and Koehler (2005)]. Ironically,
this growing controversy over forensic science has occurred precisely at the
time that DNA evidence has become the ``gold standard'' in the courts, leading
to the overturning of hundreds of convictions many of which were based on
clearly less credible forensic evidence, including eyewitness testimony [Berger
(2006)].
| stat.AP | forensic science is usually taken to mean the application of a broad spectrum of scientific tools to answer questions of interest to the legal system despite such popular television series as csi crime scene investigation and its spinoffscsi miami and csi new yorkon which the forensic scientists use the latest hightech scientific tools to identify the perpetrator of a crime and always in under an hour forensic science is under assault in the public media popular magazines talbot 2007 toobin 2007 and in the scientific literature kennedy 2003 saks and koehler 2005 ironically this growing controversy over forensic science has occurred precisely at the time that dna evidence has become the gold standard in the courts leading to the overturning of hundreds of convictions many of which were based on clearly less credible forensic evidence including eyewitness testimony berger 2006 | [['forensic', 'science', 'is', 'usually', 'taken', 'to', 'mean', 'the', 'application', 'of', 'a', 'broad', 'spectrum', 'of', 'scientific', 'tools', 'to', 'answer', 'questions', 'of', 'interest', 'to', 'the', 'legal', 'system', 'despite', 'such', 'popular', 'television', 'series', 'as', 'csi', 'crime', 'scene', 'investigation', 'and', 'its', 'spinoffscsi', 'miami', 'and', 'csi', 'new', 'yorkon', 'which', 'the', 'forensic', 'scientists', 'use', 'the', 'latest', 'hightech', 'scientific', 'tools', 'to', 'identify', 'the', 'perpetrator', 'of', 'a', 'crime', 'and', 'always', 'in', 'under', 'an', 'hour', 'forensic', 'science', 'is', 'under', 'assault', 'in', 'the', 'public', 'media', 'popular', 'magazines', 'talbot', '2007', 'toobin', '2007', 'and', 'in', 'the', 'scientific', 'literature', 'kennedy', '2003', 'saks', 'and', 'koehler', '2005', 'ironically', 'this', 'growing', 'controversy', 'over', 'forensic', 'science', 'has', 'occurred', 'precisely', 'at', 'the', 'time', 'that', 'dna', 'evidence', 'has', 'become', 'the', 'gold', 'standard', 'in', 'the', 'courts', 'leading', 'to', 'the', 'overturning', 'of', 'hundreds', 'of', 'convictions', 'many', 'of', 'which', 'were', 'based', 'on', 'clearly', 'less', 'credible', 'forensic', 'evidence', 'including', 'eyewitness', 'testimony', 'berger', '2006']] | [-0.04539108807289035, 0.027162132151769033, -0.08408309252810305, 0.07247099307974134, -0.1503221827090113, -0.09847643003751436, 0.05208728065455917, 0.33633086634064807, -0.2071850114709351, -0.3534469939564375, 0.16265484917548614, -0.31936469328433387, -0.13125709903827548, 0.2422727991888014, -0.15980480934525534, 0.044779542590114185, 0.06486119926961506, 0.01081129199362965, 0.0505216817973168, -0.3265309201750605, 0.20886708058274087, 0.08906225114381008, 0.3447111504556897, 0.06671526075177656, 0.03221551720460836, 0.021913564198031803, -0.10202186727678797, -0.047178625866743554, -0.14654678695209122, 0.11456960962616233, 0.35204046940172673, 0.24549558021155368, 0.38877227717507495, -0.4198554688180885, -0.21455231272482933, 0.054801846986949225, 0.10236536427299037, 0.05909219481404463, -0.049425783262921186, -0.3653463643914374, 0.03214919149032692, -0.21426865453050084, -0.06249503090461023, -0.022679481954470167, 0.10341558038141496, -0.026702930831289204, -0.19701169810069208, 0.0626663387724178, 0.039290380252892304, 0.17601348897510202, -0.015134184491263199, -0.12470856429856053, 0.011242828492489882, 0.19851967353836028, 0.10804950898491503, 0.015641145695367977, 0.09256985115760896, -0.13815734536347937, -0.1334123227636527, 0.3666309316907703, 0.017607154942841617, -0.040969506952993194, 0.19503000321611932, -0.11119915191661975, -0.1751090897294781, 0.10922690831723005, 0.1773616410248036, 0.05208275144211064, -0.14871782089590374, 0.05828741408101059, -0.05344386038499592, 0.1903581416275162, 0.11077316694495261, -0.025803313362854022, 0.20959968535130993, 0.1470957584883066, 0.013030809016786108, 0.07057719037062522, -0.08437054122145539, -0.11727405795623569, -0.2003981033314604, -0.17855440425630456, -0.132114200397347, 0.05481045903811354, -0.012922096873755078, -0.18906961687684168, 0.363914759941807, 0.17638744668776754, 0.04994301092776939, -0.053131801786621774, 0.28501990530299987, -0.013848508025832257, 0.05724349820197825, 0.07022848788879975, 0.20061764064292512, 0.055065583323815115, 0.22328717419860653, -0.08033937066185873, 0.1232534980904447, -0.03774790740979794] |
712.0975 | Random quantum codes from Gaussian ensembles and an uncertainty relation | Using random Gaussian vectors and an information-uncertainty relation, we
give a proof that the coherent information is an achievable rate for
entanglement transmission through a noisy quantum channel. The codes are random
subspaces selected according to the Haar measure, but distorted as a function
of the sender's input density operator. Using large deviations techniques, we
show that classical data transmitted in either of two Fourier-conjugate bases
for the coding subspace can be decoded with low probability of error. A
recently discovered information-uncertainty relation then implies that the
quantum mutual information for entanglement encoded into the subspace and
transmitted through the channel will be high. The monogamy of quantum
correlations finally implies that the environment of the channel cannot be
significantly coupled to the entanglement, and concluding, which ensures the
existence of a decoding by the receiver.
| quant-ph cs.IT math.IT | using random gaussian vectors and an informationuncertainty relation we give a proof that the coherent information is an achievable rate for entanglement transmission through a noisy quantum channel the codes are random subspaces selected according to the haar measure but distorted as a function of the senders input density operator using large deviations techniques we show that classical data transmitted in either of two fourierconjugate bases for the coding subspace can be decoded with low probability of error a recently discovered informationuncertainty relation then implies that the quantum mutual information for entanglement encoded into the subspace and transmitted through the channel will be high the monogamy of quantum correlations finally implies that the environment of the channel cannot be significantly coupled to the entanglement and concluding which ensures the existence of a decoding by the receiver | [['using', 'random', 'gaussian', 'vectors', 'and', 'an', 'informationuncertainty', 'relation', 'we', 'give', 'a', 'proof', 'that', 'the', 'coherent', 'information', 'is', 'an', 'achievable', 'rate', 'for', 'entanglement', 'transmission', 'through', 'a', 'noisy', 'quantum', 'channel', 'the', 'codes', 'are', 'random', 'subspaces', 'selected', 'according', 'to', 'the', 'haar', 'measure', 'but', 'distorted', 'as', 'a', 'function', 'of', 'the', 'senders', 'input', 'density', 'operator', 'using', 'large', 'deviations', 'techniques', 'we', 'show', 'that', 'classical', 'data', 'transmitted', 'in', 'either', 'of', 'two', 'fourierconjugate', 'bases', 'for', 'the', 'coding', 'subspace', 'can', 'be', 'decoded', 'with', 'low', 'probability', 'of', 'error', 'a', 'recently', 'discovered', 'informationuncertainty', 'relation', 'then', 'implies', 'that', 'the', 'quantum', 'mutual', 'information', 'for', 'entanglement', 'encoded', 'into', 'the', 'subspace', 'and', 'transmitted', 'through', 'the', 'channel', 'will', 'be', 'high', 'the', 'monogamy', 'of', 'quantum', 'correlations', 'finally', 'implies', 'that', 'the', 'environment', 'of', 'the', 'channel', 'can', 'not', 'be', 'significantly', 'coupled', 'to', 'the', 'entanglement', 'and', 'concluding', 'which', 'ensures', 'the', 'existence', 'of', 'a', 'decoding', 'by', 'the', 'receiver']] | [-0.15991055736161877, 0.14926875587429572, -0.11780672230805359, 0.07694003555794539, -0.005142698484221405, -0.2110050581059976, 0.07831573779320847, 0.34857850950755126, -0.32719865376741564, -0.20916548144942435, 0.1167502466956303, -0.2803783511681768, -0.14122801233868176, 0.16969325535516017, -0.08162044835562417, 0.07649677207040852, 0.0651277177457283, 0.08627551976237854, -0.0864107747473856, -0.26562411623605847, 0.322723213297716, 0.09000194925954226, 0.3089082006800131, 0.010922468573290066, 0.13400582745025463, 0.04537843547448733, -0.017337966917667293, -0.011845458362280837, -0.09435289528286323, 0.10116456511318275, 0.26156211799065016, 0.20730999223276103, 0.2289880496334203, -0.382194841987569, -0.214075188985244, 0.10966209315416152, 0.17174901538651716, 0.15502253214464978, -0.04633231512882686, -0.3268872175474454, 0.08753395290283934, -0.16662880823519216, -0.023555382063109292, -0.04227440497314516, -0.04750852709309789, 0.011703375733736223, -0.31578931356202405, 0.08258298509176412, 0.05664818255353148, 0.025613171299987466, -0.012889796319879918, -0.05261135905348852, -0.018378478078932985, 0.14452711995147224, -0.03565170015820241, 0.03865862644301306, 0.11366012366148677, -0.08041721881268696, -0.1302613693248671, 0.31447323277103206, -0.06298255813384537, -0.24630911982733839, 0.12372767836846289, -0.1339802640136739, -0.07686379341490186, 0.12073147939314155, 0.16814213013956256, 0.033339477844373154, -0.15260437534727755, 0.03377562509080646, -0.04740746481510654, 0.2149534383788705, 0.058410388339365266, 0.1649898717614965, 0.18251426720882963, 0.04509428886519949, 0.08013672428545508, 0.1804806355626601, -0.1042688650208233, -0.08496588745569117, -0.28241681081861475, -0.17657832546417948, -0.27019647952087605, 0.04638531053089112, -0.11628476520764461, -0.10519546336310841, 0.36099398367949864, 0.11305028571106535, 0.1941304658845502, 0.08622126978308806, 0.2951682600852129, 0.13255586779598202, 0.058276321661631394, 0.11770725765530646, 0.22261057974665296, 0.17540601915238005, 0.0021877000992097996, -0.19214509762602647, 0.08630210011993555, 0.035957754931215495] |
712.0976 | Thermodynamics and Kinetics of a Go Proteinlike Heteropolymer Model with
Two-State Folding Characteristics | We present results of Monte Carlo computer simulations of a coarse-grained
hydrophobic-polar Go-like heteropolymer model and discuss thermodynamic
properties and kinetics of an exemplified heteropolymer, exhibiting two-state
folding behavior. It turns out that general, characteristic folding features of
realistic proteins with a single free-energy barrier can also be observed in
this simplified model, where the folding transition is primarily driven by the
hydrophobic force.
| cond-mat.soft | we present results of monte carlo computer simulations of a coarsegrained hydrophobicpolar golike heteropolymer model and discuss thermodynamic properties and kinetics of an exemplified heteropolymer exhibiting twostate folding behavior it turns out that general characteristic folding features of realistic proteins with a single freeenergy barrier can also be observed in this simplified model where the folding transition is primarily driven by the hydrophobic force | [['we', 'present', 'results', 'of', 'monte', 'carlo', 'computer', 'simulations', 'of', 'a', 'coarsegrained', 'hydrophobicpolar', 'golike', 'heteropolymer', 'model', 'and', 'discuss', 'thermodynamic', 'properties', 'and', 'kinetics', 'of', 'an', 'exemplified', 'heteropolymer', 'exhibiting', 'twostate', 'folding', 'behavior', 'it', 'turns', 'out', 'that', 'general', 'characteristic', 'folding', 'features', 'of', 'realistic', 'proteins', 'with', 'a', 'single', 'freeenergy', 'barrier', 'can', 'also', 'be', 'observed', 'in', 'this', 'simplified', 'model', 'where', 'the', 'folding', 'transition', 'is', 'primarily', 'driven', 'by', 'the', 'hydrophobic', 'force']] | [-0.08132814354030415, 0.17939392672110444, -0.11561211143271066, 0.08254496254085097, 0.003172398332026205, -0.1832226566184545, 0.03775506248257443, 0.3903414428641554, -0.3111286288476549, -0.273562340393255, -0.03907224610338744, -0.23938578429806512, -0.24467865918995813, 0.15178349927737145, 0.047562823790940456, 0.03463793432456441, 0.08079275011550635, -0.032111213644384407, -0.022005243325111223, -0.13459095793950837, 0.19561480668198783, 0.1213007053011097, 0.21896746479615103, 0.07522235997748794, 0.06681121661677025, -0.021291829798428807, 0.07935965794604272, 0.03259503077424597, -0.2733643313446237, 0.07270208747650031, 0.21176717287744395, 0.006965470842260402, 0.2140643980819732, -0.45820912133785896, -0.2974312946025748, 0.08031812905028346, 0.1684155078837648, 0.17143145691079553, -0.07675658643711358, -0.26296059347805567, 0.035771301976637915, -0.1676272038675961, -0.09899383552692598, -0.11851210081294994, -0.030081997712841257, 0.07808693233164377, -0.21222629366093315, 0.12504446158300198, 0.02755583381804172, 0.12298597241533571, -0.05183495111123193, -0.08988835376476345, -0.06891356743290089, 0.07297607191321731, 0.02463489540059527, 0.00268026905177976, 0.25665791531355353, -0.11426031793689617, -0.1355392007571936, 0.40103098723920994, 0.003700211920659058, -0.21324302203720436, 0.2125703318415617, -0.0687015985531616, -0.17952999199042097, 0.19347769206069643, 0.05549043273640564, 0.13759183601359837, -0.2245877235691296, 0.07113726575880719, -0.002950484966277145, 0.18657730105041992, -0.004654932941775769, -0.12658172162900883, 0.20969661475646717, 0.29127715982031077, -0.09623465424374444, 0.22469394622203254, -0.08717991810408421, -0.28201216862362344, -0.24407926033018157, -0.14465350192404003, -0.18598609032051172, 0.07835316693763161, -0.0980010938360465, -0.2084283369986224, 0.3592755970894359, 0.1233255380866467, 0.14776345350401243, 0.08120093265824835, 0.21599253107706318, 0.047705153381684795, 0.02840059736627154, -0.03446335971966619, 0.1633340707339812, 0.07978101296248497, 0.037861568762309616, -0.2662772607363877, 0.0907276461039146, 0.05404871820792323] |
712.0977 | The Plebanski action extended to a unification of gravity and Yang-Mills
theory | We study a unification of gravity with Yang-Mills fields based on a simple
extension of the Plebanski action to a Lie group G which contains the local
lorentz group. The Coleman-Mandula theorem is avoided because the theory has no
global spacetime symmetry. This may be applied to Lisi's proposal of an E8
unified theory, giving a fully E8 invariant action. The extended form of the
Plebanski action suggests a new class of spin foam models.
| hep-th | we study a unification of gravity with yangmills fields based on a simple extension of the plebanski action to a lie group g which contains the local lorentz group the colemanmandula theorem is avoided because the theory has no global spacetime symmetry this may be applied to lisis proposal of an e8 unified theory giving a fully e8 invariant action the extended form of the plebanski action suggests a new class of spin foam models | [['we', 'study', 'a', 'unification', 'of', 'gravity', 'with', 'yangmills', 'fields', 'based', 'on', 'a', 'simple', 'extension', 'of', 'the', 'plebanski', 'action', 'to', 'a', 'lie', 'group', 'g', 'which', 'contains', 'the', 'local', 'lorentz', 'group', 'the', 'colemanmandula', 'theorem', 'is', 'avoided', 'because', 'the', 'theory', 'has', 'no', 'global', 'spacetime', 'symmetry', 'this', 'may', 'be', 'applied', 'to', 'lisis', 'proposal', 'of', 'an', 'e8', 'unified', 'theory', 'giving', 'a', 'fully', 'e8', 'invariant', 'action', 'the', 'extended', 'form', 'of', 'the', 'plebanski', 'action', 'suggests', 'a', 'new', 'class', 'of', 'spin', 'foam', 'models']] | [-0.17662142243236303, 0.11594761617578721, -0.1650796240195632, 0.09023556054880222, -0.177110711162289, -0.12796081045642496, -0.005406814742212494, 0.3024776633580526, -0.19649579503883918, -0.2668255339562893, 0.09043230875395239, -0.16419472667078178, -0.17964468017220497, 0.1061940248310566, -0.1118957824104776, -0.06939896586506317, -0.03389117147463063, 0.11624679482231537, -0.13700411579416444, -0.227060724478215, 0.30531583189343414, 0.036915592746809126, 0.2695897480348746, 0.008746971748769284, 0.15704364551852146, -0.00045778408646583556, -0.0031455308198928833, 0.018178334186474483, -0.06909810785825053, 0.1435697838291526, 0.21094046537051325, 0.050824613242099685, 0.18964830763017138, -0.4038955562810103, -0.2483921726544698, 0.09370221245723466, 0.0823887392009298, 0.1436041369397814, -0.06612448238302022, -0.32711617708206175, 0.040800461725642286, -0.23018837246345356, -0.16307981981585423, -0.055420145951211454, 0.002922020958115657, -0.1575435650255531, -0.239957407352825, 0.05922305428112547, 0.0671182303580766, 0.0681886358722113, -0.05580842233573397, -0.0298135681822896, -0.03898415205379327, 0.05330130303899447, 0.07907587931491435, 0.10493149247486144, 0.12823616729583592, -0.13449596766964533, -0.16843420025582115, 0.4505601780116558, -0.08654580960050225, -0.22772239783468345, 0.16389530022628607, -0.11477264062191049, -0.2266197150324782, 0.10538154809425275, 0.10952251203513394, 0.1570873297766472, -0.14226637814193965, 0.2089511258030931, -0.12246091388165951, 0.13342224004367986, 0.016308098286390304, 0.007793749885944029, 0.2519440230106314, 0.13120233250471453, 0.08732286823913454, 0.09085067483751724, 0.034995198090715954, -0.10077047280967236, -0.4057743038237095, -0.13503312752737354, -0.10523412697638075, 0.14866849608719349, -0.1006998784095049, -0.1652350549524029, 0.4178911316487938, 0.0912009583801652, 0.11925144485508402, 0.05963510628324002, 0.15442688829575976, 0.11266463881358504, 0.14911592449372013, 0.052144846028337875, 0.20547855747281574, 0.202138451722761, -0.03323310312815011, -0.2225712655422588, -0.12567679756010572, 0.21614266259595752] |
712.0978 | How paper folds: bending with local constraints | A variational framework is introduced to describe how a surface bends when it
is subject to local constraints on its geometry. This framework is applied to
describe the patterns of a folded sheet of paper. The unstretchability of paper
implies a constraint on the surface metric; bending is penalized by an energy
quadratic in mean curvature. The local Lagrange multipliers enforcing the
constraint are identified with a conserved tangential stress that couples to
the extrinsic curvature of the sheet. The framework is illustrated by examining
the deformation of a flat sheet into a generalized cone.
| cond-mat.other cond-mat.soft cond-mat.stat-mech | a variational framework is introduced to describe how a surface bends when it is subject to local constraints on its geometry this framework is applied to describe the patterns of a folded sheet of paper the unstretchability of paper implies a constraint on the surface metric bending is penalized by an energy quadratic in mean curvature the local lagrange multipliers enforcing the constraint are identified with a conserved tangential stress that couples to the extrinsic curvature of the sheet the framework is illustrated by examining the deformation of a flat sheet into a generalized cone | [['a', 'variational', 'framework', 'is', 'introduced', 'to', 'describe', 'how', 'a', 'surface', 'bends', 'when', 'it', 'is', 'subject', 'to', 'local', 'constraints', 'on', 'its', 'geometry', 'this', 'framework', 'is', 'applied', 'to', 'describe', 'the', 'patterns', 'of', 'a', 'folded', 'sheet', 'of', 'paper', 'the', 'unstretchability', 'of', 'paper', 'implies', 'a', 'constraint', 'on', 'the', 'surface', 'metric', 'bending', 'is', 'penalized', 'by', 'an', 'energy', 'quadratic', 'in', 'mean', 'curvature', 'the', 'local', 'lagrange', 'multipliers', 'enforcing', 'the', 'constraint', 'are', 'identified', 'with', 'a', 'conserved', 'tangential', 'stress', 'that', 'couples', 'to', 'the', 'extrinsic', 'curvature', 'of', 'the', 'sheet', 'the', 'framework', 'is', 'illustrated', 'by', 'examining', 'the', 'deformation', 'of', 'a', 'flat', 'sheet', 'into', 'a', 'generalized', 'cone']] | [-0.1671511281995063, 0.08186362862498425, -0.11940578781960016, 0.05220218369875975, -0.10735249536191212, -0.10805148834441887, -0.01959427063442529, 0.32731256312987905, -0.32381799634783826, -0.27360549668578354, 0.07589711763455156, -0.22957123414752015, -0.1956531349668636, 0.14385404221792805, -0.1046381944968821, 0.01933400453739562, 0.015967292696277193, 0.0350384493088294, -0.08941764591331099, -0.22092869494387762, 0.33500318999025736, 0.06980273944816176, 0.29177152461798345, 0.07910914262731936, 0.14597290061770918, 0.0008352561779518394, 0.0034442381745085435, 0.11415576125356428, -0.16059155203688436, 0.17768360724662768, 0.1402935172490617, 0.07771779867285426, 0.279078705196685, -0.44359942888246573, -0.24068602572809508, 0.03802311240120771, 0.06222863725703606, 0.067707157988557, -0.00047412984063254394, -0.24672937365446954, 0.09508239263495272, -0.09596025293316454, -0.15435897387524553, -0.03685502723810521, -0.017378045840466275, -0.01615459939583819, -0.24671626610166214, 0.09212136920541525, 0.08007273949841236, 0.01996617789994529, -0.10925446022326682, -0.06166699717930974, -0.08703588154488937, 0.027132193497543103, 0.11633214165030563, 0.07292339990926074, 0.1654903306576245, -0.10298859122199343, -0.03919375810692919, 0.3886736609596521, -0.06566888805815672, -0.29619318837834957, 0.09606516557408774, -0.06610387646930015, -0.07528575478082007, 0.12259384446797218, 0.19459057820990602, 0.14537485907389286, -0.18881614198936075, 0.14505142618485906, -0.03270608652383089, 0.10670009620507505, 0.06660517614255561, -0.06835936428483655, 0.22972793727518714, 0.15378173123401134, 0.15305481970983933, 0.1695288780911335, -0.10793735728440608, -0.07886069673707986, -0.35715225436031184, -0.1839281466908436, -0.19679985298933658, 0.022758741876694986, -0.06630653117540629, -0.18832313943099468, 0.4453680494483164, 0.04234043251663605, 0.21565712000580228, 0.04905498855093375, 0.2808426601460521, 0.1342843290755248, 0.06957928860124121, 0.06860766163036386, 0.2647419436537522, 0.17952020704607538, 0.03666753249559948, -0.20440927602380435, 0.022405874910467166, 0.08877921373424853] |
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