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710.3653 | Slow-light enhanced optical detection in liquid-infiltrated photonic
crystals | Slow-light enhanced optical detection in liquid-infiltrated photonic crystals
is theoretically studied. Using a scattering-matrix approach and the
Wigner-Smith delay time concept, we show that optical absorbance benefits both
from slow-light phenomena as well as a high filling factor of the energy
residing in the liquid. Utilizing strongly dispersive photonic crystal
structures, we numerically demonstrate how liquid-infiltrated photonic crystals
facilitate enhanced light-matter interactions, by potentially up to an order of
magnitude. The proposed concept provides strong opportunities for improving
existing miniaturized absorbance cells for optical detection in lab-on-a-chip
systems.
| physics.optics | slowlight enhanced optical detection in liquidinfiltrated photonic crystals is theoretically studied using a scatteringmatrix approach and the wignersmith delay time concept we show that optical absorbance benefits both from slowlight phenomena as well as a high filling factor of the energy residing in the liquid utilizing strongly dispersive photonic crystal structures we numerically demonstrate how liquidinfiltrated photonic crystals facilitate enhanced lightmatter interactions by potentially up to an order of magnitude the proposed concept provides strong opportunities for improving existing miniaturized absorbance cells for optical detection in labonachip systems | [['slowlight', 'enhanced', 'optical', 'detection', 'in', 'liquidinfiltrated', 'photonic', 'crystals', 'is', 'theoretically', 'studied', 'using', 'a', 'scatteringmatrix', 'approach', 'and', 'the', 'wignersmith', 'delay', 'time', 'concept', 'we', 'show', 'that', 'optical', 'absorbance', 'benefits', 'both', 'from', 'slowlight', 'phenomena', 'as', 'well', 'as', 'a', 'high', 'filling', 'factor', 'of', 'the', 'energy', 'residing', 'in', 'the', 'liquid', 'utilizing', 'strongly', 'dispersive', 'photonic', 'crystal', 'structures', 'we', 'numerically', 'demonstrate', 'how', 'liquidinfiltrated', 'photonic', 'crystals', 'facilitate', 'enhanced', 'lightmatter', 'interactions', 'by', 'potentially', 'up', 'to', 'an', 'order', 'of', 'magnitude', 'the', 'proposed', 'concept', 'provides', 'strong', 'opportunities', 'for', 'improving', 'existing', 'miniaturized', 'absorbance', 'cells', 'for', 'optical', 'detection', 'in', 'labonachip', 'systems']] | [-0.1453721186844632, 0.16071315384512921, -0.016774273992764807, -0.03493524077004457, -0.033016400538723574, -0.1581103052594699, 0.06416273334947288, 0.483201178542169, -0.26917171862442046, -0.29222510304217314, 0.018970614099420014, -0.2786320158788426, -0.22175239487974482, 0.2684450270184739, 0.011748853658156639, 0.10588368060151962, -0.005387244579403407, -0.11318519305099141, -0.03827868663938716, -0.16539271407369102, 0.18671576819509605, 0.08240069808777083, 0.37209156703796575, 0.12384077883325517, 0.0922958539661274, 0.034483779478416014, 0.05081358244007623, -0.009166984927353704, -0.11188833580250833, 0.14471339408985592, 0.28975819372730754, -0.035304293745536015, 0.2524828355844048, -0.43386311014182866, -0.28013875419062306, 0.032325964854945516, 0.18467766918580641, 0.13161025268808854, -0.1320481002436612, -0.3118099264419553, 0.018917006239379672, -0.17178547001888297, -0.15608741565797987, -0.10799927317632617, -0.0532527676127343, 0.019761389692575904, -0.1850848987656222, 0.04715076547158374, 0.00486340024640826, 0.03257581279930574, -0.04507770568968474, -0.03530831413015469, 0.012824526276248931, 0.034546888528645715, -0.10723358899915846, -0.05762473850997842, 0.17437288379931654, -0.16553856098273007, -0.18432408246338705, 0.428134370256554, -0.0806041267999469, -0.10993876926262271, 0.15738986799789761, -0.12855700589981015, -0.008724531005348334, 0.19098625380799852, 0.209049644561839, 0.06809934065677226, -0.10169932063118639, 0.013465246712836564, 0.013129675221121446, 0.21299345907755196, 0.10219140836588023, 0.20873443031450734, 0.19281771283766086, 0.2778395934252661, 0.028596393626437268, 0.1554387775038115, -0.08962648968868465, 0.012923628335887439, -0.17287566607013682, -0.18863464537372981, -0.18100794591009617, 0.02551448877519843, -0.10413042528390096, -0.11930155608041043, 0.3912833227130415, 0.1351773033595898, 0.11017110184448856, -0.018223369369727814, 0.31920973520556634, 0.10801055704359896, 0.12030508531130511, -0.003344253557522527, 0.330438904421912, 0.11772302976036868, 0.12190867370439017, -0.2671189604628704, -1.511715394868092e-05, 0.006104467711834745] |
710.3654 | Aggregation for Gaussian regression | This paper studies statistical aggregation procedures in the regression
setting. A motivating factor is the existence of many different methods of
estimation, leading to possibly competing estimators. We consider here three
different types of aggregation: model selection (MS) aggregation, convex (C)
aggregation and linear (L) aggregation. The objective of (MS) is to select the
optimal single estimator from the list; that of (C) is to select the optimal
convex combination of the given estimators; and that of (L) is to select the
optimal linear combination of the given estimators. We are interested in
evaluating the rates of convergence of the excess risks of the estimators
obtained by these procedures. Our approach is motivated by recently published
minimax results [Nemirovski, A. (2000). Topics in non-parametric statistics.
Lectures on Probability Theory and Statistics (Saint-Flour, 1998). Lecture
Notes in Math. 1738 85--277. Springer, Berlin; Tsybakov, A. B. (2003). Optimal
rates of aggregation. Learning Theory and Kernel Machines. Lecture Notes in
Artificial Intelligence 2777 303--313. Springer, Heidelberg]. There exist
competing aggregation procedures achieving optimal convergence rates for each
of the (MS), (C) and (L) cases separately. Since these procedures are not
directly comparable with each other, we suggest an alternative solution. We
prove that all three optimal rates, as well as those for the newly introduced
(S) aggregation (subset selection), are nearly achieved via a single
``universal'' aggregation procedure. The procedure consists of mixing the
initial estimators with weights obtained by penalized least squares. Two
different penalties are considered: one of them is of the BIC type, the second
one is a data-dependent $\ell_1$-type penalty.
| math.ST stat.TH | this paper studies statistical aggregation procedures in the regression setting a motivating factor is the existence of many different methods of estimation leading to possibly competing estimators we consider here three different types of aggregation model selection ms aggregation convex c aggregation and linear l aggregation the objective of ms is to select the optimal single estimator from the list that of c is to select the optimal convex combination of the given estimators and that of l is to select the optimal linear combination of the given estimators we are interested in evaluating the rates of convergence of the excess risks of the estimators obtained by these procedures our approach is motivated by recently published minimax results nemirovski a 2000 topics in nonparametric statistics lectures on probability theory and statistics saintflour 1998 lecture notes in math 1738 85277 springer berlin tsybakov a b 2003 optimal rates of aggregation learning theory and kernel machines lecture notes in artificial intelligence 2777 303313 springer heidelberg there exist competing aggregation procedures achieving optimal convergence rates for each of the ms c and l cases separately since these procedures are not directly comparable with each other we suggest an alternative solution we prove that all three optimal rates as well as those for the newly introduced s aggregation subset selection are nearly achieved via a single universal aggregation procedure the procedure consists of mixing the initial estimators with weights obtained by penalized least squares two different penalties are considered one of them is of the bic type the second one is a datadependent ell_1type penalty | [['this', 'paper', 'studies', 'statistical', 'aggregation', 'procedures', 'in', 'the', 'regression', 'setting', 'a', 'motivating', 'factor', 'is', 'the', 'existence', 'of', 'many', 'different', 'methods', 'of', 'estimation', 'leading', 'to', 'possibly', 'competing', 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710.3655 | Coxeter Groups and Wavelet Sets | A traditional wavelet is a special case of a vector in a separable Hilbert
space that generates a basis under the action of a system of unitary operators
defined in terms of translation and dilation operations. A
Coxeter/fractal-surface wavelet is obtained by defining fractal surfaces on
foldable figures, which tesselate the embedding space by reflections in their
bounding hyperplanes instead of by translations along a lattice. Although both
theories look different at their onset, there exist connections and
communalities which are exhibited in this semi-expository paper. In particular,
there is a natural notion of a dilation-reflection wavelet set. We prove that
dilation-reflection wavelet sets exist for arbitrary expansive matrix
dilations, paralleling the traditional dilation-translation wavelet theory.
There are certain measurable sets which can serve simultaneously as
dilation-translation wavelet sets and dilation-reflection wavelet sets,
although the orthonormal structures generated in the two theories are
considerably different.
| math.FA | a traditional wavelet is a special case of a vector in a separable hilbert space that generates a basis under the action of a system of unitary operators defined in terms of translation and dilation operations a coxeterfractalsurface wavelet is obtained by defining fractal surfaces on foldable figures which tesselate the embedding space by reflections in their bounding hyperplanes instead of by translations along a lattice although both theories look different at their onset there exist connections and communalities which are exhibited in this semiexpository paper in particular there is a natural notion of a dilationreflection wavelet set we prove that dilationreflection wavelet sets exist for arbitrary expansive matrix dilations paralleling the traditional dilationtranslation wavelet theory there are certain measurable sets which can serve simultaneously as dilationtranslation wavelet sets and dilationreflection wavelet sets although the orthonormal structures generated in the two theories are considerably different | [['a', 'traditional', 'wavelet', 'is', 'a', 'special', 'case', 'of', 'a', 'vector', 'in', 'a', 'separable', 'hilbert', 'space', 'that', 'generates', 'a', 'basis', 'under', 'the', 'action', 'of', 'a', 'system', 'of', 'unitary', 'operators', 'defined', 'in', 'terms', 'of', 'translation', 'and', 'dilation', 'operations', 'a', 'coxeterfractalsurface', 'wavelet', 'is', 'obtained', 'by', 'defining', 'fractal', 'surfaces', 'on', 'foldable', 'figures', 'which', 'tesselate', 'the', 'embedding', 'space', 'by', 'reflections', 'in', 'their', 'bounding', 'hyperplanes', 'instead', 'of', 'by', 'translations', 'along', 'a', 'lattice', 'although', 'both', 'theories', 'look', 'different', 'at', 'their', 'onset', 'there', 'exist', 'connections', 'and', 'communalities', 'which', 'are', 'exhibited', 'in', 'this', 'semiexpository', 'paper', 'in', 'particular', 'there', 'is', 'a', 'natural', 'notion', 'of', 'a', 'dilationreflection', 'wavelet', 'set', 'we', 'prove', 'that', 'dilationreflection', 'wavelet', 'sets', 'exist', 'for', 'arbitrary', 'expansive', 'matrix', 'dilations', 'paralleling', 'the', 'traditional', 'dilationtranslation', 'wavelet', 'theory', 'there', 'are', 'certain', 'measurable', 'sets', 'which', 'can', 'serve', 'simultaneously', 'as', 'dilationtranslation', 'wavelet', 'sets', 'and', 'dilationreflection', 'wavelet', 'sets', 'although', 'the', 'orthonormal', 'structures', 'generated', 'in', 'the', 'two', 'theories', 'are', 'considerably', 'different']] | [-0.14820979561191053, 0.1688471347525982, -0.11754685795333769, 0.08132597751682624, -0.024059303785075568, -0.10451712074822612, 0.009942271088116935, 0.39450494671639585, -0.30298515867242326, -0.17035133823353266, 0.12478151426683845, -0.2668110288230569, -0.20270416748909545, 0.21408606921322643, -0.08789374477429582, 0.06899360711686313, 0.054074991537657165, 0.06020033127861098, -0.13267771074315532, -0.23582369460990385, 0.35414221723497447, -0.02141100266349635, 0.2838256800414196, -0.047724532082013736, 0.11420263884855168, -0.003394648074338745, -0.07011829892040364, 0.029859792028271062, -0.06667146544922227, 0.16128870194744585, 0.27521266884702655, 0.14828925301886298, 0.26243062778521564, -0.38743094792589544, -0.21594535784928925, 0.12862926001128341, 0.11136401375822191, 0.030501823094839762, -0.03276907670931126, -0.2881050925518918, 0.06907597962833409, -0.11276577672854599, -0.06432154098417543, -0.11926977586367034, 0.037153216411492655, -0.015142671925215317, -0.27615471525184276, 0.024413796587448036, 0.11694688301067799, 0.13035763425619473, -0.07337231247552804, -0.06703786818959218, -0.03728220963384956, 0.07384910510320748, 0.00749153922079131, 0.06682723712375653, 0.08334168628124254, -0.03773243099484327, -0.1358129981772176, 0.4099943021312356, -0.03505821285611351, -0.30008750169404913, 0.19047554394429816, -0.14686986304420446, -0.13702100743207016, 0.08042109346299964, 0.14225914844178728, 0.07469851094896772, -0.11860219613715474, 0.14129712212972143, -0.11519000266479062, 0.11132619265200837, 0.17183574016671627, 0.07196208834720892, 0.1485721566531408, 0.08013531630027242, 0.089783287467435, 0.13520303433594694, 0.0011071122667220023, -0.0535062765236944, -0.33103657998144626, -0.13432547850866935, -0.18350961966706172, -0.0007837439937117909, -0.12283734955677314, -0.22793741075854215, 0.4221436864230782, 0.07880302155224074, 0.21095415531391545, 0.06704909199033864, 0.20849384616262145, 0.0931735703439959, 0.09150864730389523, 0.06605190178379416, 0.14833881516408706, 0.08826076922705398, 0.014363385484154735, -0.08977025281222138, 0.006236231065953949, 0.15557414798864297] |
710.3656 | Hyperelliptic Jacobians as Billiard Algebra of Pencils of Quadrics:
Beyond Poncelet Porisms | The thirty years old programme of Griffiths and Harris of understanding
higher-dimensional analogues of Poncelet-type problems and synthetic approach
to higher genera addition theorems has been settled and completed in this
paper. Starting with the observation of the billiard nature of some classical
constructions and configurations, we construct the billiard algebra, that is a
group structure on the set T of lines in $R^d$ simultaneously tangent to d-1
quadrics from a given confocal family. Using this tool, the related results of
Reid, Donagi and Knoerrer are further developed, realized and simplified. We
derive a fundamental property of T: any two lines from this set can be obtained
from each other by at most d-1 billiard reflections at some quadrics from the
confocal family. We introduce two hierarchies of notions: s-skew lines in T and
s-weak Poncelet trajectories, s = -1,0,...,d-2. The interrelations between
billiard dynamics, linear subspaces of intersections of quadrics and
hyperelliptic Jacobians developed in this paper enabled us to obtain
higher-dimensional and higher-genera generalizations of several classical genus
1 results: the Cayley's theorem, the Weyr's theorem, the Griffiths-Harris
theorem and the Darboux theorem.
| math.AG math-ph math.MP | the thirty years old programme of griffiths and harris of understanding higherdimensional analogues of poncelettype problems and synthetic approach to higher genera addition theorems has been settled and completed in this paper starting with the observation of the billiard nature of some classical constructions and configurations we construct the billiard algebra that is a group structure on the set t of lines in rd simultaneously tangent to d1 quadrics from a given confocal family using this tool the related results of reid donagi and knoerrer are further developed realized and simplified we derive a fundamental property of t any two lines from this set can be obtained from each other by at most d1 billiard reflections at some quadrics from the confocal family we introduce two hierarchies of notions sskew lines in t and sweak poncelet trajectories s 10d2 the interrelations between billiard dynamics linear subspaces of intersections of quadrics and hyperelliptic jacobians developed in this paper enabled us to obtain higherdimensional and highergenera generalizations of several classical genus 1 results the cayleys theorem the weyrs theorem the griffithsharris theorem and the darboux theorem | [['the', 'thirty', 'years', 'old', 'programme', 'of', 'griffiths', 'and', 'harris', 'of', 'understanding', 'higherdimensional', 'analogues', 'of', 'poncelettype', 'problems', 'and', 'synthetic', 'approach', 'to', 'higher', 'genera', 'addition', 'theorems', 'has', 'been', 'settled', 'and', 'completed', 'in', 'this', 'paper', 'starting', 'with', 'the', 'observation', 'of', 'the', 'billiard', 'nature', 'of', 'some', 'classical', 'constructions', 'and', 'configurations', 'we', 'construct', 'the', 'billiard', 'algebra', 'that', 'is', 'a', 'group', 'structure', 'on', 'the', 'set', 't', 'of', 'lines', 'in', 'rd', 'simultaneously', 'tangent', 'to', 'd1', 'quadrics', 'from', 'a', 'given', 'confocal', 'family', 'using', 'this', 'tool', 'the', 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710.3657 | A double supermirror monochromator for neutron instrumentation at LLB | The design and characteristics of a double supermirror monochromator for
neutron instrumentation at the Laboratoire Leon Brillouin is described. The aim
of this monochromator is to reduce the intense gamma-radiation produced by
conventional velocity selectors and to avoid a direct view of the guide while
keeping a comparable neutron transmission (higher than 70%). The monochromator
offers a continuous choice of wavelength selection in the range 0.5 to 2 nm.
| physics.ins-det | the design and characteristics of a double supermirror monochromator for neutron instrumentation at the laboratoire leon brillouin is described the aim of this monochromator is to reduce the intense gammaradiation produced by conventional velocity selectors and to avoid a direct view of the guide while keeping a comparable neutron transmission higher than 70 the monochromator offers a continuous choice of wavelength selection in the range 05 to 2 nm | [['the', 'design', 'and', 'characteristics', 'of', 'a', 'double', 'supermirror', 'monochromator', 'for', 'neutron', 'instrumentation', 'at', 'the', 'laboratoire', 'leon', 'brillouin', 'is', 'described', 'the', 'aim', 'of', 'this', 'monochromator', 'is', 'to', 'reduce', 'the', 'intense', 'gammaradiation', 'produced', 'by', 'conventional', 'velocity', 'selectors', 'and', 'to', 'avoid', 'a', 'direct', 'view', 'of', 'the', 'guide', 'while', 'keeping', 'a', 'comparable', 'neutron', 'transmission', 'higher', 'than', '70', 'the', 'monochromator', 'offers', 'a', 'continuous', 'choice', 'of', 'wavelength', 'selection', 'in', 'the', 'range', '05', 'to', '2', 'nm']] | [-0.07938332707229731, 0.13769045774487482, -0.06390545984217222, 0.016988215841474415, -0.11067556535852129, -0.14263001257769656, 0.0803096055633564, 0.38809813629241957, -0.20379336043328478, -0.3272954848041569, 0.06353644633065045, -0.29331256242711906, 0.02333316556515469, 0.2324348861027671, -0.0654634521815224, 0.03128204473456287, 0.018040023828465222, -0.024554162353709125, -0.06162268133914989, -0.15606264201451794, 0.2434733848195469, 0.19369527589583743, 0.33977454023408715, 0.02697632777373023, 0.12885613465492707, 0.061620202279933124, -0.05086316501694745, -0.08149957474645066, -0.09562694100474102, 0.08520902901469474, 0.2944712166444979, 0.04994691665405813, 0.28185646851425583, -0.38031029896945623, -0.22426596294710602, 0.014041506921521563, 0.09583780662290772, 0.013031361359711467, -0.04440063163233192, -0.2212917271434613, 0.12893420998074545, -0.1683561309865858, -0.18564056699245196, 0.027612047944811806, -0.03289117642502854, 0.02256253969001894, -0.253549742342738, -0.04976484286801323, 0.004175617937437272, 0.05698808265067097, -0.046461187586512256, -0.08953709198512892, 0.019660555845315474, 0.011380587744971981, -0.025230229798488428, 0.09672263515370803, 0.14222267483347567, -0.12171794118130229, -0.07344075876281367, 0.40663896509162756, -0.042909882258517544, -0.08250420446089213, 0.14860934070716408, -0.18656526112497068, -0.013830257795643116, 0.24382568735197402, 0.11067723419071863, 0.14819878452470986, -0.12698533419735622, 0.014277560148912016, 0.047078026661926044, 0.20778052481836168, 0.1666333491380826, 0.06021590503877488, 0.22448071260410157, 0.23551201873013508, 0.05077576094671436, 0.11710037045396757, -0.20513319629042046, -0.007793202537341394, -0.25052882320639014, -0.14346811892734707, -0.1206218380804943, 0.024482059621495075, -0.05408371363148984, -0.10945932110906512, 0.39686943463765195, 0.11124305373084718, 0.12329616400318733, -0.003941015812797823, 0.3262020587597204, 0.10064633548313724, 0.10756399759523355, -0.04081884068369433, 0.28276705968639126, 0.13728614118071678, 0.16076801386931777, -0.23815747989093602, 0.0324491432638488, -0.019863951168414475] |
710.3658 | Sensitivity of Nonrenormalizable Trajectories to the Bare Scale | Working in scalar field theory, we consider RG trajectories which correspond
to nonrenormalizable theories, in the Wilsonian sense. An interesting question
to ask of such trajectories is, given some fixed starting point in parameter
space, how the effective action at the effective scale, Lambda, changes as the
bare scale (and hence the duration of the flow down to Lambda) is changed. When
the effective action satisfies Polchinski's version of the Exact
Renormalization Group equation, we prove, directly from the path integral, that
the dependence of the effective action on the bare scale, keeping the
interaction part of the bare action fixed, is given by an equation of the same
form as the Polchinski equation but with a kernel of the opposite sign. We then
investigate whether similar equations exist for various generalizations of the
Polchinski equation. Using nonperturbative, diagrammatic arguments we find that
an action can always be constructed which satisfies the Polchinski-like
equation under variation of the bare scale. For the family of flow equations in
which the field is renormalized, but the blocking functional is the simplest
allowed, this action is essentially identified with the effective action at
Lambda = 0. This does not seem to hold for more elaborate generalizations.
| hep-th hep-ph | working in scalar field theory we consider rg trajectories which correspond to nonrenormalizable theories in the wilsonian sense an interesting question to ask of such trajectories is given some fixed starting point in parameter space how the effective action at the effective scale lambda changes as the bare scale and hence the duration of the flow down to lambda is changed when the effective action satisfies polchinskis version of the exact renormalization group equation we prove directly from the path integral that the dependence of the effective action on the bare scale keeping the interaction part of the bare action fixed is given by an equation of the same form as the polchinski equation but with a kernel of the opposite sign we then investigate whether similar equations exist for various generalizations of the polchinski equation using nonperturbative diagrammatic arguments we find that an action can always be constructed which satisfies the polchinskilike equation under variation of the bare scale for the family of flow equations in which the field is renormalized but the blocking functional is the simplest allowed this action is essentially identified with the effective action at lambda 0 this does not seem to hold for more elaborate generalizations | [['working', 'in', 'scalar', 'field', 'theory', 'we', 'consider', 'rg', 'trajectories', 'which', 'correspond', 'to', 'nonrenormalizable', 'theories', 'in', 'the', 'wilsonian', 'sense', 'an', 'interesting', 'question', 'to', 'ask', 'of', 'such', 'trajectories', 'is', 'given', 'some', 'fixed', 'starting', 'point', 'in', 'parameter', 'space', 'how', 'the', 'effective', 'action', 'at', 'the', 'effective', 'scale', 'lambda', 'changes', 'as', 'the', 'bare', 'scale', 'and', 'hence', 'the', 'duration', 'of', 'the', 'flow', 'down', 'to', 'lambda', 'is', 'changed', 'when', 'the', 'effective', 'action', 'satisfies', 'polchinskis', 'version', 'of', 'the', 'exact', 'renormalization', 'group', 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710.3659 | Luminosity Dependence of the Quasar Clustering from SDSS DR5 | 43024 objects, which were primarily identified as quasars in SDSS DR5 and
have spectroscopic redshifts were used to study the luminosity dependence of
the quasar clustering with the help of two different techniques. The obtained
results reveal that brighter quasars are more clustered, but this dependence is
weak, which is in agreement with the results by Porciani & Norberg, 2006 and
theoretical predictions by Lidz et al., 2006.
| astro-ph | 43024 objects which were primarily identified as quasars in sdss dr5 and have spectroscopic redshifts were used to study the luminosity dependence of the quasar clustering with the help of two different techniques the obtained results reveal that brighter quasars are more clustered but this dependence is weak which is in agreement with the results by porciani norberg 2006 and theoretical predictions by lidz et al 2006 | [['43024', 'objects', 'which', 'were', 'primarily', 'identified', 'as', 'quasars', 'in', 'sdss', 'dr5', 'and', 'have', 'spectroscopic', 'redshifts', 'were', 'used', 'to', 'study', 'the', 'luminosity', 'dependence', 'of', 'the', 'quasar', 'clustering', 'with', 'the', 'help', 'of', 'two', 'different', 'techniques', 'the', 'obtained', 'results', 'reveal', 'that', 'brighter', 'quasars', 'are', 'more', 'clustered', 'but', 'this', 'dependence', 'is', 'weak', 'which', 'is', 'in', 'agreement', 'with', 'the', 'results', 'by', 'porciani', 'norberg', '2006', 'and', 'theoretical', 'predictions', 'by', 'lidz', 'et', 'al', '2006']] | [0.01584192699920095, 0.07435211735719349, -0.09052969519689213, 0.08233746794030594, -0.13599029924080241, -0.08418893697671592, 0.007248664845064923, 0.4431679456611164, -0.08310469554635347, -0.4079331225948408, 0.05592177508879104, -0.3495247809769353, -0.08162103049835423, 0.23475938674528152, -0.037096490093972534, 0.01597592558391625, 0.059188335508224554, -0.150274803807406, 0.003211687802831875, -0.3715645283613185, 0.30730658856919035, 0.11267079197568819, 0.27225877542514354, -0.07520825847313972, 0.03269308754533995, -0.062292903086927254, -0.17154640369699337, 0.07007819703358109, -0.18301597482479792, 0.06562991599639645, 0.30058929446386173, 0.10477532189543126, 0.22348241036524996, -0.28022387088276446, -0.20183886928134598, 0.030552652620826848, 0.14749404772737762, 0.09105179576363298, -0.03729028835846293, -0.3278604597726371, 0.11652188228617888, -0.1449632005460444, -0.09259797691993299, -0.008311811950989068, 0.030833117809379473, 0.10314352828936535, -0.21055865574271593, 0.15514427112793783, 0.029721022619924042, 0.1109884784091264, -0.07983362574668718, -0.11647186903428519, -0.09189858744502999, 0.07615387227997417, 0.02786547959112795, 0.06670047682200675, 0.08124489222245757, -0.0973261554063356, -0.11756920596235432, 0.35910053813131526, -0.018448319620802067, -0.0029250876177684404, 0.2271114464965649, -0.15209428234084044, -0.1799985647885478, 0.10782722618023399, 0.14853796859824797, 0.11219634540611878, -0.17452884747763164, 0.010781134578792262, -0.06613278076838469, 0.20224207494175062, 0.030427620622504037, 0.05028636970280331, 0.19426429059240036, 0.04996614273113664, -0.029306451437150827, 0.07526415655775054, -0.17271907892791205, -0.002519508559089445, -0.204616252813139, -0.03062872521695681, -0.15729789561009966, 0.04562955565052107, -0.09509710807424199, -0.08000052260467783, 0.3505259349622065, 0.13760696339886636, 0.2948860490869265, 0.05458155753512983, 0.2553691122448072, 0.09778205024304043, 0.05868998307414586, 0.07903164259914774, 0.38415995278592163, 0.1424224191432586, 0.12233238657063339, -0.1744236235954304, 0.08110390370893583, 0.04141254939167993] |
710.366 | Electric quadrupole moment of the $5d^2 D_{3/2}$ state in $^{171}Yb^+$ :
A relativistic coupled-cluster analysis | The electric quadrupole moment for the $5d^{2}D_{3/2}$ state of
$\mathrm{^{171}Yb^{+}}$, has been calculated using the relativistic
coupled-cluster method. Earlier a similar calculation was performed for the 4d
$^2D_{5/2}$ state of $\mathrm{^{88}Sr^{+}}$ which is the most accurate
determination to date {[}PRL, \textbf{96}, 193001 (2006)]. The present
calculation of the electric quadrupole moment of $\mathrm{^{171}Yb^{+}}$
yielded a value $2.157 ea_{0}^{2}$ where the experimental value is
$2.08(11)ea_{0}^{2}$; $a_{0}$ is the Bohr radius and $e$ the elementary charge.
We discuss in this paper our results in detail for $^{171}{\rm Yb}^{+}$ and
highlight the dominant correlation effects present. We have presented the
effect of inner core excitations and their contribution to the electric
quadrupole moment, which is a property sensitive to regions away from the
nucleus.
| physics.atom-ph | the electric quadrupole moment for the 5d2d_32 state of mathrm171yb has been calculated using the relativistic coupledcluster method earlier a similar calculation was performed for the 4d 2d_52 state of mathrm88sr which is the most accurate determination to date prl textbf96 193001 2006 the present calculation of the electric quadrupole moment of mathrm171yb yielded a value 2157 ea_02 where the experimental value is 20811ea_02 a_0 is the bohr radius and e the elementary charge we discuss in this paper our results in detail for 171rm yb and highlight the dominant correlation effects present we have presented the effect of inner core excitations and their contribution to the electric quadrupole moment which is a property sensitive to regions away from the nucleus | [['the', 'electric', 'quadrupole', 'moment', 'for', 'the', '5d2d_32', 'state', 'of', 'mathrm171yb', 'has', 'been', 'calculated', 'using', 'the', 'relativistic', 'coupledcluster', 'method', 'earlier', 'a', 'similar', 'calculation', 'was', 'performed', 'for', 'the', '4d', '2d_52', 'state', 'of', 'mathrm88sr', 'which', 'is', 'the', 'most', 'accurate', 'determination', 'to', 'date', 'prl', 'textbf96', '193001', '2006', 'the', 'present', 'calculation', 'of', 'the', 'electric', 'quadrupole', 'moment', 'of', 'mathrm171yb', 'yielded', 'a', 'value', '2157', 'ea_02', 'where', 'the', 'experimental', 'value', 'is', '20811ea_02', 'a_0', 'is', 'the', 'bohr', 'radius', 'and', 'e', 'the', 'elementary', 'charge', 'we', 'discuss', 'in', 'this', 'paper', 'our', 'results', 'in', 'detail', 'for', '171rm', 'yb', 'and', 'highlight', 'the', 'dominant', 'correlation', 'effects', 'present', 'we', 'have', 'presented', 'the', 'effect', 'of', 'inner', 'core', 'excitations', 'and', 'their', 'contribution', 'to', 'the', 'electric', 'quadrupole', 'moment', 'which', 'is', 'a', 'property', 'sensitive', 'to', 'regions', 'away', 'from', 'the', 'nucleus']] | [-0.09368017155333962, 0.11190997850019158, -0.06337514664700027, 0.04035691709335273, -0.0378829905591709, -0.04688107519279839, 0.023151462001566727, 0.3399033985966653, -0.1650059445569161, -0.29367029766568487, 0.027015276110257235, -0.31529114482385157, -0.0627407049561091, 0.15103785113611243, 0.023989000261568243, 0.017630747107895126, 0.01774442696682455, 0.07204997343043879, -0.0847960687896008, -0.15546881886844507, 0.2785828053734772, 0.12445845779260262, 0.2539298181001326, 0.10496899443215195, 0.05187532240584883, -0.01198869245943793, 0.02457972629845404, 0.008480042121128031, -0.12736486900483437, 0.12735225755329194, 0.19573216230747403, 0.04067704748778947, 0.21234528469166866, -0.39371319464816334, -0.1367139630714072, 0.05384012942382118, 0.09958319781397126, 0.15660371372206627, -0.07413346998458892, -0.29378433624208955, 0.059303223727303636, -0.19776248136584304, -0.14992915632472814, -0.11384437554270814, 0.09780532279329603, 0.009111762532898993, -0.3035420643639538, 0.1031440822816078, 0.05394551700405907, 0.05200847709682165, -0.10548992719493087, -0.22609932556862763, 0.01718260267782107, 0.09184914629236517, 0.07651320121479793, 0.0966441303352711, 0.14644265411781116, -0.07100376566635086, -0.07269727666668284, 0.38176931519257395, -0.020306098699700414, -0.13313714650116468, 0.0901750001296597, -0.20620700914674162, -0.13166258438784434, 0.1304436346614047, 0.11605094858749541, 0.154035754154616, -0.12868354008778146, 0.09788463191433582, -0.018009610601502732, 0.17156229842568568, 0.030186580559402182, 0.012104942455168879, 0.21264447148056015, 0.1229408017376013, -0.0026337281053297615, 0.12224042526928283, -0.16122585718863106, -0.07828387879897236, -0.2842117700921862, -0.12727989351237498, -0.1818344147647159, 0.04626316811456427, -0.004405581118286743, -0.12917594741520588, 0.41076529099556963, 0.13960498637466676, 0.17395817728819357, -0.043404428286298195, 0.28093131873021393, 0.12151027270674444, 0.044591096617902316, 0.04383158303895279, 0.3634945851844621, 0.18526928485452868, 0.09307965784529715, -0.2986381530757634, 0.04425330300357912, 0.09605120375687093] |
710.3661 | Unified description of resonance and decay phenomena | In the Feshbach projection operator formalism, resonance as well as decay
phenomena are described by means of the complex eigenvalues and eigenfunctions
of the non-Hermitian Hamilton operator $H_{\rm eff}$ that appears in an
intermediate stage of the formalism. The formalism can be applied for the
description of isolated resonances as well as for resonances in the overlapping
regime. Time asymmetry is related to the time operator which is a part of
$H_{\rm eff}$. An expression for the decay rates of resonance states is
derived. For isolated resonance states $\lambda$, this expression gives the
fundamental relation $\tau_\lambda = \hbar / \Gamma_\lambda$ between life time
and width of a resonance state. A similar relation holds for the average values
obtained for narrow resonances superposed by a smooth background term. In the
cross over between these two cases (regime of overlapping resonances), the
decay rate decreases monotonously as a function of increasing time.
| quant-ph | in the feshbach projection operator formalism resonance as well as decay phenomena are described by means of the complex eigenvalues and eigenfunctions of the nonhermitian hamilton operator h_rm eff that appears in an intermediate stage of the formalism the formalism can be applied for the description of isolated resonances as well as for resonances in the overlapping regime time asymmetry is related to the time operator which is a part of h_rm eff an expression for the decay rates of resonance states is derived for isolated resonance states lambda this expression gives the fundamental relation tau_lambda hbar gamma_lambda between life time and width of a resonance state a similar relation holds for the average values obtained for narrow resonances superposed by a smooth background term in the cross over between these two cases regime of overlapping resonances the decay rate decreases monotonously as a function of increasing time | [['in', 'the', 'feshbach', 'projection', 'operator', 'formalism', 'resonance', 'as', 'well', 'as', 'decay', 'phenomena', 'are', 'described', 'by', 'means', 'of', 'the', 'complex', 'eigenvalues', 'and', 'eigenfunctions', 'of', 'the', 'nonhermitian', 'hamilton', 'operator', 'h_rm', 'eff', 'that', 'appears', 'in', 'an', 'intermediate', 'stage', 'of', 'the', 'formalism', 'the', 'formalism', 'can', 'be', 'applied', 'for', 'the', 'description', 'of', 'isolated', 'resonances', 'as', 'well', 'as', 'for', 'resonances', 'in', 'the', 'overlapping', 'regime', 'time', 'asymmetry', 'is', 'related', 'to', 'the', 'time', 'operator', 'which', 'is', 'a', 'part', 'of', 'h_rm', 'eff', 'an', 'expression', 'for', 'the', 'decay', 'rates', 'of', 'resonance', 'states', 'is', 'derived', 'for', 'isolated', 'resonance', 'states', 'lambda', 'this', 'expression', 'gives', 'the', 'fundamental', 'relation', 'tau_lambda', 'hbar', 'gamma_lambda', 'between', 'life', 'time', 'and', 'width', 'of', 'a', 'resonance', 'state', 'a', 'similar', 'relation', 'holds', 'for', 'the', 'average', 'values', 'obtained', 'for', 'narrow', 'resonances', 'superposed', 'by', 'a', 'smooth', 'background', 'term', 'in', 'the', 'cross', 'over', 'between', 'these', 'two', 'cases', 'regime', 'of', 'overlapping', 'resonances', 'the', 'decay', 'rate', 'decreases', 'monotonously', 'as', 'a', 'function', 'of', 'increasing', 'time']] | [-0.15761326083451718, 0.1732571640107356, -0.06796579207985888, 0.10122290564656912, -0.004042975340239905, -0.12165845851602687, 0.02484691810034722, 0.3086477618639332, -0.248715284324528, -0.28439439141594275, 0.027667143887122842, -0.28146514624382396, -0.08580367941239446, 0.19905604030055976, 0.047622386397592524, 0.04530914627085204, 0.06304232603901797, 0.08544436110674429, -0.0340255879391161, -0.11143158156600957, 0.3054231173056807, 0.035771251538126554, 0.2093892510920587, 0.08572970012382201, 0.04390430850027179, 0.020149852750143287, 0.07144652491095602, -0.03564470398744045, -0.12642297512291015, 0.03131715954451293, 0.2672685345829892, 0.08275304617662285, 0.21927997226373772, -0.3510112000780331, -0.156701993706913, 0.08181160243190322, 0.2360767025683025, 0.09409854151355732, 0.0014126232284045702, -0.29837096831368004, 0.013438501492822292, -0.1291262401720962, -0.17647669337866073, -0.05146695990746643, 0.08672334087660184, -0.02503960582465437, -0.3124343755850065, 0.16387310581804077, 0.06606056026145313, 0.05957395809535818, -0.0805744032274831, -0.13203247380442917, -0.008051588420277915, 0.09513862168957554, 0.0323355470648715, 0.029657156119355932, 0.1359945578670532, -0.11833451770605058, -0.07872147305956664, 0.33580069311240035, -0.1418657820369746, -0.16161329260196639, 0.11414358164404041, -0.15275772097142967, -0.05490374008376101, 0.14153570553281572, 0.1319679034043204, 0.14616990055593132, -0.11333396036737926, 0.12636219442911906, 0.004789029448639249, 0.13914741096212654, 0.08625081214562964, 0.08146664457288696, 0.17711002585742422, 0.11458841093966889, 0.04210722012479941, 0.1115241782901796, -0.07447798995338883, -0.10766513188168206, -0.3319811328263903, -0.14685289470452442, -0.1809511324233451, 0.04935194515604274, -0.061180639473015025, -0.15329692517784801, 0.4175659210068753, 0.034402126001156365, 0.29686409189063756, 0.04023373466239915, 0.2623692601289902, 0.22962597873599924, 0.09062993258388864, 0.01407166792243417, 0.2485097047835085, 0.203903399236387, 0.0886625797335197, -0.26457279133830675, 0.02652341644342586, 0.043910412939038836] |
710.3662 | Evolution of coherence between the Jaynes - Cummings Eigenstates in the
presence of repeated occupancy measurements: The case of resonant coupling | A two level system resonantly coupled to a single mode cavity field and
subject to ground state occupancy measurement like interaction is considered.
For this situation, the solution to the Lindblad master equation for the
density matrix is obtained with respect to the Jaynes Cummings eigenstate
representation. It is seen that, the rate of decoherence of the superposition
of the Jaynes Cummings eigenstates increases monotonically with the increase in
the occupancy measurement coupling up to a certain critical value (already
reported in the literature in a different context), whereas the rate decreases
with the increase in the measurement coupling beyond the same critical value.
| quant-ph | a two level system resonantly coupled to a single mode cavity field and subject to ground state occupancy measurement like interaction is considered for this situation the solution to the lindblad master equation for the density matrix is obtained with respect to the jaynes cummings eigenstate representation it is seen that the rate of decoherence of the superposition of the jaynes cummings eigenstates increases monotonically with the increase in the occupancy measurement coupling up to a certain critical value already reported in the literature in a different context whereas the rate decreases with the increase in the measurement coupling beyond the same critical value | [['a', 'two', 'level', 'system', 'resonantly', 'coupled', 'to', 'a', 'single', 'mode', 'cavity', 'field', 'and', 'subject', 'to', 'ground', 'state', 'occupancy', 'measurement', 'like', 'interaction', 'is', 'considered', 'for', 'this', 'situation', 'the', 'solution', 'to', 'the', 'lindblad', 'master', 'equation', 'for', 'the', 'density', 'matrix', 'is', 'obtained', 'with', 'respect', 'to', 'the', 'jaynes', 'cummings', 'eigenstate', 'representation', 'it', 'is', 'seen', 'that', 'the', 'rate', 'of', 'decoherence', 'of', 'the', 'superposition', 'of', 'the', 'jaynes', 'cummings', 'eigenstates', 'increases', 'monotonically', 'with', 'the', 'increase', 'in', 'the', 'occupancy', 'measurement', 'coupling', 'up', 'to', 'a', 'certain', 'critical', 'value', 'already', 'reported', 'in', 'the', 'literature', 'in', 'a', 'different', 'context', 'whereas', 'the', 'rate', 'decreases', 'with', 'the', 'increase', 'in', 'the', 'measurement', 'coupling', 'beyond', 'the', 'same', 'critical', 'value']] | [-0.14864886124940732, 0.15924283990170807, -0.02203674025188845, -0.0013414398619296173, 0.009642433796006326, -0.17617034938078946, 0.07372016899507099, 0.26810882785894835, -0.2811208924260707, -0.30887796106365456, 0.05890350298544105, -0.3347498504444957, -0.03827039821324153, 0.1461485713505401, -0.01809949339188349, 0.07168925877732153, 0.061016063566337556, 0.1093756255644481, -0.0754784435154691, -0.18181966860384607, 0.2968712022098211, 0.097141597531915, 0.3284404154580373, 0.018524801560068645, 0.07867299184167328, 0.023504587134364277, 0.08727721604429042, -0.004220029598890016, -0.09549645925772683, 0.05474860483305887, 0.22575026191827, 0.07849228788521802, 0.2737834367077224, -0.35987200715149253, -0.18219721566017072, 0.08311863089217625, 0.16140247917232606, 0.16480164748365775, -0.008589963202561753, -0.288193700924659, -0.02286199916404887, -0.209565771672015, -0.1689327874740299, 0.011588337985673346, 0.01199466937172334, -0.026698979472992226, -0.28541217245555556, 0.11604636055059157, 0.026176070502865165, -0.0024465168736731778, -0.07486115294383265, -0.08834191739375595, -0.006012679865727058, 0.0946221742191343, 0.06182405833197453, 0.0922773218360537, 0.16295933471813512, -0.13986944770574786, -0.07366272651303846, 0.3293557881664198, -0.13377824142494668, -0.20447120109915537, 0.1770179622197667, -0.1800654511898756, -0.08571614085415674, 0.12855211499173982, 0.08640814613765822, 0.06240513382810885, -0.1377372906382124, 0.04693018489174742, 0.0069963499319363525, 0.19813019898720086, 0.04073483622722471, 0.04774098851843379, 0.15266674882374132, 0.1452372625308971, 0.07311467510254051, 0.1415168234066536, -0.04673299255171934, -0.17697873246372461, -0.27649656901485287, -0.16184793472012432, -0.21829204684959572, 0.0638652225338424, -0.05025410734085129, -0.12443090977075581, 0.40288132932395315, 0.16537077650383042, 0.18875614531302395, 0.017843050609092012, 0.2438825793349399, 0.23850604904314074, 0.07375156085114352, 0.023779149766106948, 0.31895877679702467, 0.16463561526213127, 0.09793053713488356, -0.3108843656082172, 0.054049027333698735, 0.018735209925440498] |
710.3663 | Constraints on Unparticle Interactions from Particle and Antiparticle
Oscillations | We study unparticle effects on particle and antiparticle osillations in
meson-antimeson, and muonium-antimuonium systems. Unlike usual tree level
contributions to meson oscillations from heavy particle exchange with small
$\Gamma_{12}$, the unparticle may have sizeable contributions to both $M_{12}$
and $\Gamma_{12}$ due to fractional dimension $d_\U$ of the unparticle. We find
that very stringent constraints on the unparticle and particle interactions can
be obtained. If unparticle effect dominates the contributions (which may happen
in $D^0-\bar D^0$ mixing) to meson mixing parameters $x$ and $y$, we find that
$x/y =\cot(\pi d_\U)$. Interesting constraints on unparticle and particle
interactions can also be obtained using muonion and antimuonion oscillation
data. We also comment on unparticle effects on CP violation in meson
oscillations.
| hep-ph | we study unparticle effects on particle and antiparticle osillations in mesonantimeson and muoniumantimuonium systems unlike usual tree level contributions to meson oscillations from heavy particle exchange with small gamma_12 the unparticle may have sizeable contributions to both m_12 and gamma_12 due to fractional dimension d_u of the unparticle we find that very stringent constraints on the unparticle and particle interactions can be obtained if unparticle effect dominates the contributions which may happen in d0bar d0 mixing to meson mixing parameters x and y we find that xy cotpi d_u interesting constraints on unparticle and particle interactions can also be obtained using muonion and antimuonion oscillation data we also comment on unparticle effects on cp violation in meson oscillations | [['we', 'study', 'unparticle', 'effects', 'on', 'particle', 'and', 'antiparticle', 'osillations', 'in', 'mesonantimeson', 'and', 'muoniumantimuonium', 'systems', 'unlike', 'usual', 'tree', 'level', 'contributions', 'to', 'meson', 'oscillations', 'from', 'heavy', 'particle', 'exchange', 'with', 'small', 'gamma_12', 'the', 'unparticle', 'may', 'have', 'sizeable', 'contributions', 'to', 'both', 'm_12', 'and', 'gamma_12', 'due', 'to', 'fractional', 'dimension', 'd_u', 'of', 'the', 'unparticle', 'we', 'find', 'that', 'very', 'stringent', 'constraints', 'on', 'the', 'unparticle', 'and', 'particle', 'interactions', 'can', 'be', 'obtained', 'if', 'unparticle', 'effect', 'dominates', 'the', 'contributions', 'which', 'may', 'happen', 'in', 'd0bar', 'd0', 'mixing', 'to', 'meson', 'mixing', 'parameters', 'x', 'and', 'y', 'we', 'find', 'that', 'xy', 'cotpi', 'd_u', 'interesting', 'constraints', 'on', 'unparticle', 'and', 'particle', 'interactions', 'can', 'also', 'be', 'obtained', 'using', 'muonion', 'and', 'antimuonion', 'oscillation', 'data', 'we', 'also', 'comment', 'on', 'unparticle', 'effects', 'on', 'cp', 'violation', 'in', 'meson', 'oscillations']] | [-0.12443350110931889, 0.3234709220654938, -0.08046609172293835, 0.21070105294170588, -0.14126162913263493, -0.18078315800622755, 0.07870453184308565, 0.24890099997105805, -0.2207371294984351, -0.28195978873611793, -0.02624836829389729, -0.3641544962990219, -0.11107833782393162, 0.13054459140757504, 0.07409775007678115, 0.014403004928127579, 0.0655701314099133, 0.012206360191592703, -0.05790894338456185, -0.18832997499519716, 0.33413175737242334, -0.012949996069073677, 0.17182077330577633, 0.17723580661189298, 0.04035539366406105, 0.015533202153671048, -0.019437912195597006, -0.0345485918952719, -0.16085400273504608, 0.016504884709644577, 0.15426104463758353, 0.04599074945461167, 0.054812982969957846, -0.36394859579918176, -0.12950644118751845, 0.2074508584630878, 0.20497061777252543, 0.0895001973481039, -0.02422157429745826, -0.35339749931641246, 0.01214969320439116, -0.17305537558201214, -0.04155260546375876, -0.11463310653040104, 0.02800799873859986, -0.12062639858492691, -0.36071162781799615, 0.1036172535548837, -0.04399244301021099, -0.006269659964448732, 0.014520199613078781, -0.21725915535960508, -0.0676948398027731, 0.021623149650859767, 0.1983441143580105, 0.025782253821355128, 0.19172629505476874, -0.15175133562120408, -0.15900332137294437, 0.4104409137133347, -0.14969476100826717, -0.2417518957234595, 0.18630200130460056, -0.2401147129662011, -0.19580889374584606, 0.09650661325001199, 0.25632739973294993, -0.029516018078024703, -0.15288264487424622, 0.2135582013101236, -0.012021343636771906, 0.16287124782152798, 0.08475388963099408, 0.1462809126176264, 0.1777994680987752, 0.14853041072416565, 0.04897376404386824, 0.013231460310761695, -0.07536291422767807, -0.04043390547613735, -0.345408133028642, -0.07365004179756278, -0.1135777082780133, 0.08180588504056567, -0.10609717641504096, -0.05590979620490385, 0.35300926316286557, 0.14400868939600237, 0.22850185309577248, -0.030054420347163536, 0.25643773486270854, 0.10470406952435556, 0.0954827636561316, 0.058183866038756527, 0.3388663543104801, 0.12912266691741736, 0.1394304721130301, -0.2994640503220422, 0.013366002281722815, 0.05723560586085786] |
710.3664 | Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers | All indecomposable unimodular hermitian lattices in dimensions 14 and 15 over
the ring of integers in $\mathbb{Q}(\sqrt{-3})$ are determined. Precisely one
lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3.
| math.NT math.GR | all indecomposable unimodular hermitian lattices in dimensions 14 and 15 over the ring of integers in mathbbqsqrt3 are determined precisely one lattice in dimension 14 and two lattices in dimension 15 have minimal norm 3 | [['all', 'indecomposable', 'unimodular', 'hermitian', 'lattices', 'in', 'dimensions', '14', 'and', '15', 'over', 'the', 'ring', 'of', 'integers', 'in', 'mathbbqsqrt3', 'are', 'determined', 'precisely', 'one', 'lattice', 'in', 'dimension', '14', 'and', 'two', 'lattices', 'in', 'dimension', '15', 'have', 'minimal', 'norm', '3']] | [-0.16551968114716667, 0.2349792701059154, 0.07879091143924077, 0.025702125765383242, 0.031950746064207385, -0.2175363200051444, -0.07104780344026429, 0.40496494052931664, -0.25916473429117887, -0.2224093328629221, 0.15780484105593393, -0.31275402648108347, -0.10391436043095642, 0.14827913335923637, -0.01521361784211227, 0.02320457635713475, -0.004387751580881221, 0.10109448197430798, -0.10198000233088221, -0.47330907966409413, 0.3447034709687744, -0.0942572909939502, 0.1767603945519243, 0.0501418603051986, 0.05435525999803628, 0.0016342925306941781, -0.01212988059435572, 0.0026133850216865538, -0.15861412842891046, 0.10228181917752538, 0.2816581222627844, 0.007270781443055187, 0.1561687312088907, -0.34488127077264447, -0.13480149012591158, 0.19201326833239624, 0.13992271342181734, 0.00468912529759109, 0.06404162687914712, -0.1535422375159604, 0.14839488539312568, -0.17453351052744048, -0.18558894683207786, -0.0316945060555424, 0.14482457941131932, -0.05991245883716537, -0.23787321379142148, 0.031916127726435664, 0.0739661259044494, 0.2672484589474542, -0.08021926410230143, -0.211844010331801, 0.022840083337255887, 0.039690646788637554, -0.12918357242430958, 0.013787614554166794, 0.01778368481567928, -0.01802367458918265, -0.18880414803113257, 0.38146060542868715, -0.063886498393757, -0.2303722734854091, 0.16257531281028476, -0.2557325190731457, -0.11083477766120008, 0.18302006029656956, 0.09585598148405552, 0.077589892915317, -0.03522765237305846, 0.20992019458208233, -0.12632941577051368, 0.13545839084046227, 0.21490359100114023, 0.07471211063010352, 0.1156562551856041, 0.04169506111315319, 0.09337348532946114, 0.0801705649388688, -0.021549252846411297, -0.06331472148054412, -0.2400088338979653, -0.11275009230178382, -0.18419961463992618, 0.1891659288001912, -0.21858941124935102, -0.05289455034903118, 0.3985711711858, 0.03391069515741297, 0.2154068075120449, 0.06811273672751018, 0.1371022583118507, -0.0341360194342477, 0.12395911935184684, 0.11036111426406674, 0.167634256357061, 0.19663291461765767, -0.030028013475904506, -0.07625447777765137, -0.19074037023154752, 0.17138140861477172] |
710.3665 | Asymptotics of eigenfunctions on plane domains | We consider a family of domains $(\Omega_N)_{N>0}$ obtained by attaching an
$N\times 1$ rectangle to a fixed set $\Omega_0 = \{(x,y): 0<y<1,
-\phi(y)<x<0\}$, for a Lipschitz function $\phi\geq 0$. We derive full
asymptotic expansions, as $N\to\infty$, for the $m$th Dirichlet eigenvalue (for
any fixed $m$) and for the associated eigenfunction on $\Omega_N$. The second
term involves a scattering phase arising in the Dirichlet problem on the
infinite domain $\Omega_\infty$. We determine the first variation of this
scattering phase, with respect to $\phi$, at $\phi\equiv 0$. This is then used
to prove sharpness of results, obtained previously by the same authors, about
the location of extrema and nodal line of eigenfunctions on convex domains.
| math.SP math.AP | we consider a family of domains omega_n_n0 obtained by attaching an ntimes 1 rectangle to a fixed set omega_0 xy 0y1 phiyx0 for a lipschitz function phigeq 0 we derive full asymptotic expansions as ntoinfty for the mth dirichlet eigenvalue for any fixed m and for the associated eigenfunction on omega_n the second term involves a scattering phase arising in the dirichlet problem on the infinite domain omega_infty we determine the first variation of this scattering phase with respect to phi at phiequiv 0 this is then used to prove sharpness of results obtained previously by the same authors about the location of extrema and nodal line of eigenfunctions on convex domains | [['we', 'consider', 'a', 'family', 'of', 'domains', 'omega_n_n0', 'obtained', 'by', 'attaching', 'an', 'ntimes', '1', 'rectangle', 'to', 'a', 'fixed', 'set', 'omega_0', 'xy', '0y1', 'phiyx0', 'for', 'a', 'lipschitz', 'function', 'phigeq', '0', 'we', 'derive', 'full', 'asymptotic', 'expansions', 'as', 'ntoinfty', 'for', 'the', 'mth', 'dirichlet', 'eigenvalue', 'for', 'any', 'fixed', 'm', 'and', 'for', 'the', 'associated', 'eigenfunction', 'on', 'omega_n', 'the', 'second', 'term', 'involves', 'a', 'scattering', 'phase', 'arising', 'in', 'the', 'dirichlet', 'problem', 'on', 'the', 'infinite', 'domain', 'omega_infty', 'we', 'determine', 'the', 'first', 'variation', 'of', 'this', 'scattering', 'phase', 'with', 'respect', 'to', 'phi', 'at', 'phiequiv', '0', 'this', 'is', 'then', 'used', 'to', 'prove', 'sharpness', 'of', 'results', 'obtained', 'previously', 'by', 'the', 'same', 'authors', 'about', 'the', 'location', 'of', 'extrema', 'and', 'nodal', 'line', 'of', 'eigenfunctions', 'on', 'convex', 'domains']] | [-0.16532287197187542, 0.06108136210201668, -0.034106753355908126, 0.03954167080175301, -0.07035381380383941, -0.0949510633691468, 0.04586169658419253, 0.3318734190479683, -0.2863112955078991, -0.19739405397928997, 0.1277168010181578, -0.33093021197075195, -0.09468270459170029, 0.1543242019093172, -0.03030933982438662, 0.08431984490968965, 0.017921323655173182, 0.10227504647760229, -0.09279364563355391, -0.17740925432140517, 0.382659411015497, -0.07328885428776795, 0.18546920982612805, 0.03958380467427725, 0.1076554217629812, 0.015147309710102325, 0.029828397887335583, -0.02872026821767742, -0.22378220418256453, 0.09602306187152862, 0.22658886271952228, 0.0392422943143174, 0.24825469285748444, -0.36119573479710115, -0.16668078606440262, 0.1510564131577584, 0.17299856214191425, 0.007110916571268304, 0.021395175122994593, -0.2935253761073744, 0.11291192356088273, -0.08334530519998887, -0.20178015788763085, -0.020248474324630065, 0.04169503357261419, 0.04296811720229347, -0.33504998242821205, 0.054567076096480545, 0.0848647672005675, 0.0640030345371501, -0.10225574301809749, -0.17435830818404527, 0.005774644556963309, 0.10509407571940259, 0.025738153912508013, 0.0648175654255531, 0.03216166207143529, -0.06629328049126673, -0.07758782976941968, 0.3265111251281765, -0.09261847538873554, -0.24716529899954118, 0.0996639825871336, -0.19079992997417736, -0.1326098209543323, 0.10464086589953778, 0.12835757194764236, 0.15353055924854495, -0.06913506150965325, 0.17437419589630074, -0.056770894888111136, 0.14303823999891227, 0.14499919845468617, -0.04820853426883166, 0.12780031606724315, 0.07853520858016881, 0.14612086620658044, 0.19842840887775476, -0.05147574868910438, -0.0658522865861993, -0.36496384685689753, -0.1310961997898465, -0.26195511501282454, 0.07967899860390885, -0.1459937509633495, -0.20296749311753295, 0.3657541541552002, 0.06677175812338564, 0.25026214451275086, 0.11972331118515947, 0.21282944184812633, 0.17326467727874512, -0.002706663386726921, 0.05866118449379097, 0.12100139722566713, 0.12492071333214302, 0.07967114549722862, -0.21420199749488594, 0.020328484594144606, 0.13992076515304772] |
710.3666 | Regression for partially observed variables and nonparametric quantiles
of conditional probabilities | Efficient estimation under bias sampling, censoring or truncation is a
difficult question which has been partially answered and the usual estimators
are not always consistent. Several biased designs are considered for models
with variables $(X,Y)$ where $Y$ is an indicator and $X$ an explanatory
variable, or for continuous variables $(X,Y)$. The identifiability of the
models are discussed. New nonparametric estimators of the regression functions
and conditional quantiles are proposed.
| math.ST stat.TH | efficient estimation under bias sampling censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent several biased designs are considered for models with variables xy where y is an indicator and x an explanatory variable or for continuous variables xy the identifiability of the models are discussed new nonparametric estimators of the regression functions and conditional quantiles are proposed | [['efficient', 'estimation', 'under', 'bias', 'sampling', 'censoring', 'or', 'truncation', 'is', 'a', 'difficult', 'question', 'which', 'has', 'been', 'partially', 'answered', 'and', 'the', 'usual', 'estimators', 'are', 'not', 'always', 'consistent', 'several', 'biased', 'designs', 'are', 'considered', 'for', 'models', 'with', 'variables', 'xy', 'where', 'y', 'is', 'an', 'indicator', 'and', 'x', 'an', 'explanatory', 'variable', 'or', 'for', 'continuous', 'variables', 'xy', 'the', 'identifiability', 'of', 'the', 'models', 'are', 'discussed', 'new', 'nonparametric', 'estimators', 'of', 'the', 'regression', 'functions', 'and', 'conditional', 'quantiles', 'are', 'proposed']] | [-0.06790771518928418, 0.09106290057357198, -0.07095657551553154, 0.16485564715222226, -0.07295825176507882, -0.247272585687376, 0.031198654431795727, 0.47359361002842587, -0.24281200771962386, -0.21076137946405704, 0.17784589128163847, -0.2576860511621487, -0.09119733632879629, 0.16514245442627673, -0.17025252797411403, 0.12947090960485672, -0.010669766749808754, -0.003795002573642178, -0.09134193485521752, -0.35243153545087663, 0.25710993500399415, 0.017431172252079283, 0.2696439119028872, -0.09856101430942425, 0.13856256485957166, 0.018066555140135082, -0.05587777518329845, 0.05017100259715664, -0.10826372747997874, 0.0734159080547861, 0.2706055033972455, 0.13787447545420972, 0.36022520081504533, -0.30081332838365243, -0.2477393513545394, 0.16407963895387406, 0.13295592548514623, 0.027459158847256956, -0.00027780216423443693, -0.2591320685097489, 0.019654792723156497, -0.16364874158972414, -0.020944726531920227, -0.1170500413598189, 0.008229711180741804, 0.056331255972601364, -0.4423560489144554, 0.12175746760803505, 0.08946486960664607, 0.08300940541759727, -0.007251385207949341, -0.19940359280377196, -0.021654279983561973, 0.045841233561868255, 0.10084321762205682, 0.03777018555885424, 0.0858135708283795, -0.10990600467430077, -0.14009496027036852, 0.29835017785375967, 0.02205366320044234, -0.317579957993998, 0.18589879952344127, -0.1263548107817769, -0.16354675314294687, 0.06902859305989915, 0.14475960072561883, 0.1126219394846239, -0.22391982803094215, 0.10068914323684125, -0.04898810518932515, 0.13563406089130128, -0.029502328444758186, -0.0032608197273119636, 0.20127636238264487, 0.14227592360660218, 0.09427815332900787, 0.07539200026919876, -0.08788851956447563, -0.06528355001026521, -0.29298151597596594, -0.0937273167748598, -0.19975355334336992, -0.016410423803566686, -0.12967246378695194, -0.24513653205518704, 0.3608669004828224, 0.18744773458878417, 0.19459401331571996, 0.053550117893778865, 0.26414440574961295, 0.1744787794659319, -0.010641382953179056, 0.09399520630772779, 0.1577645922484605, 0.16992332845710326, -0.03433368121530267, -0.09174111404159255, 0.21943398922060928, 0.023182628352356995] |
710.3667 | Conformal changes of generalized complex structures | A conformal change of $TM\oplus T^*M$ is a morphism of the form
$(X,\alpha)\mapsto(X,e^\tau\alpha)$ $(X\in TM,\alpha\in T^*M,\tau\in
C^\infty(M))$. We characterize the generalized almost complex and almost
Hermitian structures that are locally conformal to integrable and to
generalized K\"ahler structures, respectively, and give examples of such
structures.
| math.DG | a conformal change of tmoplus tm is a morphism of the form xalphamapstoxetaualpha xin tmalphain tmtauin cinftym we characterize the generalized almost complex and almost hermitian structures that are locally conformal to integrable and to generalized kahler structures respectively and give examples of such structures | [['a', 'conformal', 'change', 'of', 'tmoplus', 'tm', 'is', 'a', 'morphism', 'of', 'the', 'form', 'xalphamapstoxetaualpha', 'xin', 'tmalphain', 'tmtauin', 'cinftym', 'we', 'characterize', 'the', 'generalized', 'almost', 'complex', 'and', 'almost', 'hermitian', 'structures', 'that', 'are', 'locally', 'conformal', 'to', 'integrable', 'and', 'to', 'generalized', 'kahler', 'structures', 'respectively', 'and', 'give', 'examples', 'of', 'such', 'structures']] | [-0.20388049295260793, 0.1046642809884534, -0.02918069450450795, 0.08906779472904634, -0.13484046519512222, -0.14302863936782592, -0.0839053836562449, 0.43286047663007465, -0.32674155730221954, -0.1377741163596511, 0.0874754673069609, -0.286863950169867, -0.25047056203974144, 0.15139683619851158, -0.0371072812870677, 0.016933394440760214, 0.012398330067905286, 0.07924449993740945, -0.1848450194146218, -0.26411216732646736, 0.4242510435481866, -0.016383961846475444, 0.22775748726867495, 0.05189626962168231, 0.1665652667870745, -0.0483596646892173, 0.04460121022670397, -0.001333191968678009, -0.14509449105995978, 0.11238369826848309, 0.2992752181986968, 0.07014185353182256, 0.13122524294470037, -0.3414207934956288, -0.1835022505394937, 0.1677096588537097, 0.07590700453147292, -0.0017141537474734442, 0.012546366468692819, -0.27170463083755403, 0.1764087410909789, -0.08278017067572191, -0.1836972601401309, -0.15037952607408875, 0.03393515095203405, 0.019864214451185296, -0.2510343740383784, 0.005634861155634835, 0.15569329705266727, 0.057658477464602106, -0.08590358330513395, -0.05448708328462783, -0.10533541527443699, 0.055061414815662874, -0.07809731877031958, 0.06501560239121318, 0.10564075677566939, -0.032460098925401415, -0.08622134842776827, 0.4006043779441998, -0.09076712209553946, -0.2728023171269645, 0.11784784974796432, -0.11864799551577085, -0.1370288333522954, 0.09233533304982952, 0.12609589153102466, 0.1295124673772426, -0.06491491954684966, 0.20254962957447528, -0.07089085746113033, 0.044263840364735754, 0.14675757427522468, 0.013854319573424402, 0.1316494339012674, 0.04560367496950286, 0.11836132460406848, 0.11099247523539123, 0.05042741304662611, -0.08798040210136346, -0.35455811034799334, -0.21587853339899862, -0.08619349946023985, 0.2221145036275543, -0.10788496085782147, -0.2776244595824253, 0.4208177893278411, -0.018369324519881047, 0.22406190939779794, 0.08220714297411698, 0.14561114242921272, 0.048390046338595095, 0.07841291520301075, 0.10493802198297567, 0.14871999169034616, 0.23612752255229724, 0.003145335225521454, -0.0980292062297286, -0.09043309481681458, 0.1006718087231829] |
710.3668 | Harmonic sections of tangent bundles equipped with Riemannian
$g$-natural metrics | Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent
bundle $TM$ is equipped with the Sasaki metric $g^s$, the only vector fields
which define harmonic maps from $(M,g)$ to $(TM,g^s)$, are the parallel ones.
The Sasaki metric, and other well known Riemannian metrics on $TM$, are
particular examples of $g$-natural metrics. We equip $TM$ with an arbitrary
Riemannian $g$-natural metric $G$, and investigate the harmonicity of a vector
field $V$ of $M$, thought as a map from $(M,g)$ to $(TM,G)$. We then apply this
study to the Reeb vector field and, in particular, to Hopf vector fields on
odd-dimensional spheres.
| math.DG | let mg be a riemannian manifold when m is compact and the tangent bundle tm is equipped with the sasaki metric gs the only vector fields which define harmonic maps from mg to tmgs are the parallel ones the sasaki metric and other well known riemannian metrics on tm are particular examples of gnatural metrics we equip tm with an arbitrary riemannian gnatural metric g and investigate the harmonicity of a vector field v of m thought as a map from mg to tmg we then apply this study to the reeb vector field and in particular to hopf vector fields on odddimensional spheres | [['let', 'mg', 'be', 'a', 'riemannian', 'manifold', 'when', 'm', 'is', 'compact', 'and', 'the', 'tangent', 'bundle', 'tm', 'is', 'equipped', 'with', 'the', 'sasaki', 'metric', 'gs', 'the', 'only', 'vector', 'fields', 'which', 'define', 'harmonic', 'maps', 'from', 'mg', 'to', 'tmgs', 'are', 'the', 'parallel', 'ones', 'the', 'sasaki', 'metric', 'and', 'other', 'well', 'known', 'riemannian', 'metrics', 'on', 'tm', 'are', 'particular', 'examples', 'of', 'gnatural', 'metrics', 'we', 'equip', 'tm', 'with', 'an', 'arbitrary', 'riemannian', 'gnatural', 'metric', 'g', 'and', 'investigate', 'the', 'harmonicity', 'of', 'a', 'vector', 'field', 'v', 'of', 'm', 'thought', 'as', 'a', 'map', 'from', 'mg', 'to', 'tmg', 'we', 'then', 'apply', 'this', 'study', 'to', 'the', 'reeb', 'vector', 'field', 'and', 'in', 'particular', 'to', 'hopf', 'vector', 'fields', 'on', 'odddimensional', 'spheres']] | [-0.1918577162494648, 0.09354728311924738, -0.0026803786495646228, 0.07028855288568522, -0.16459739568939397, -0.18762832158019097, -0.06955630190272644, 0.43909283711131913, -0.23172956375965795, -0.22761322012243485, 0.0655177861748227, -0.3101158251588061, -0.200077403440746, 0.15307706887426886, -0.10572218588435824, -0.04257211274042436, 0.047057102172120106, 0.19304252466530475, -0.11117943775957649, -0.2533972452550638, 0.5015389413292547, 0.013818803089625627, 0.23240265168376195, 0.011570703170434075, 0.1470695223333766, -0.034738195630568035, 0.024455858837559963, 0.10766824518637821, -0.14337900616409419, 0.11944516005844456, 0.2245800481584755, 0.116014262891908, 0.1653257727858077, -0.33420666766542834, -0.22243201727210318, 0.15859477425523066, 0.04375962445566666, -0.02379884046063876, 0.010241686490825514, -0.3384367340398066, 0.13132921306561063, -0.03869047702642754, -0.10085487702083819, -0.11928648868512398, 0.04351641442762344, 0.01126942138223755, -0.22499591541630262, -0.10610670448977103, 0.11446863044283886, 0.07937611138348658, -0.10620146893073344, -0.09540059394881274, -0.11742275938599651, 0.045182024806034886, 0.023806166640726975, 0.18133436539662479, 0.1281994390934344, -0.010683050877595484, -0.12694983699277623, 0.40608689550635885, -0.19946594378522153, -0.3196594962868297, 0.132207637934186, -0.14111708827063585, -0.0767829253708998, 0.0581729699048277, 0.21070592001406024, 0.19901390367829538, -0.04377224576024868, 0.19952457009145574, -0.026722744224791966, 0.03742515198090701, 0.06884558393972591, -0.038296332854090384, 0.14006505069295758, 0.052215975074061345, 0.15188948978733235, 0.1095157747910792, -0.0367707699058053, -0.041140004882427354, -0.30983358556947227, -0.28089215880874724, -0.13035878110496166, 0.18277937317610654, -0.16175526110579722, -0.2018939678193278, 0.3614545723115935, -0.010489473526266594, 0.23077680617209198, 0.0731285359016484, 0.24946602993391598, 0.02124878147151321, 0.04826587963469543, 0.14115134084561062, 0.20080926956256254, 0.30247675878836694, 0.06420373035034219, -0.09103271583529207, -0.11566411454266715, 0.12108947715532144] |
710.3669 | Alpha-determinant cyclic modules and Jacobi polynomials | We study the cyclic $U(\mathfrak{gl}_n)$-module generated by the $l$-th power
of the $\alpha$-determinant. When $l$ is a non-negative integer, for all but
finite exceptional values of $alpha$, one shows that this cyclic module is
isomorphic to the $n$-th tensor space $(S^l(\mathbb{C}^n))^{\otimes n}$ of the
symmetric $l$-th tensor space of $\mathbb{C}^n$. If $alpha$ is exceptional,
then the structure of the module changes drastically, i.e. some irreducible
representations which are the irreducible components of the decomposition of
$(S^l(\mathbb{C}^n))^{\otimes n}$ disappear in the decomposition of the cyclic
module. The degeneration of each isotypic component of the cyclic module is
described by a matrix whose size is given by a Kostka number and entries are
polynomials in $alpha$ with rational coefficients. As a special case, we
determine the matrix in a full of the detail for the case where $n=2$; the
matrix becomes a scalar and is essentially given by the classical Jacobi
polynomial. Moreover, we prove that these polynomials are unitary.
| math.RT | we study the cyclic umathfrakgl_nmodule generated by the lth power of the alphadeterminant when l is a nonnegative integer for all but finite exceptional values of alpha one shows that this cyclic module is isomorphic to the nth tensor space slmathbbcnotimes n of the symmetric lth tensor space of mathbbcn if alpha is exceptional then the structure of the module changes drastically ie some irreducible representations which are the irreducible components of the decomposition of slmathbbcnotimes n disappear in the decomposition of the cyclic module the degeneration of each isotypic component of the cyclic module is described by a matrix whose size is given by a kostka number and entries are polynomials in alpha with rational coefficients as a special case we determine the matrix in a full of the detail for the case where n2 the matrix becomes a scalar and is essentially given by the classical jacobi polynomial moreover we prove that these polynomials are unitary | [['we', 'study', 'the', 'cyclic', 'umathfrakgl_nmodule', 'generated', 'by', 'the', 'lth', 'power', 'of', 'the', 'alphadeterminant', 'when', 'l', 'is', 'a', 'nonnegative', 'integer', 'for', 'all', 'but', 'finite', 'exceptional', 'values', 'of', 'alpha', 'one', 'shows', 'that', 'this', 'cyclic', 'module', 'is', 'isomorphic', 'to', 'the', 'nth', 'tensor', 'space', 'slmathbbcnotimes', 'n', 'of', 'the', 'symmetric', 'lth', 'tensor', 'space', 'of', 'mathbbcn', 'if', 'alpha', 'is', 'exceptional', 'then', 'the', 'structure', 'of', 'the', 'module', 'changes', 'drastically', 'ie', 'some', 'irreducible', 'representations', 'which', 'are', 'the', 'irreducible', 'components', 'of', 'the', 'decomposition', 'of', 'slmathbbcnotimes', 'n', 'disappear', 'in', 'the', 'decomposition', 'of', 'the', 'cyclic', 'module', 'the', 'degeneration', 'of', 'each', 'isotypic', 'component', 'of', 'the', 'cyclic', 'module', 'is', 'described', 'by', 'a', 'matrix', 'whose', 'size', 'is', 'given', 'by', 'a', 'kostka', 'number', 'and', 'entries', 'are', 'polynomials', 'in', 'alpha', 'with', 'rational', 'coefficients', 'as', 'a', 'special', 'case', 'we', 'determine', 'the', 'matrix', 'in', 'a', 'full', 'of', 'the', 'detail', 'for', 'the', 'case', 'where', 'n2', 'the', 'matrix', 'becomes', 'a', 'scalar', 'and', 'is', 'essentially', 'given', 'by', 'the', 'classical', 'jacobi', 'polynomial', 'moreover', 'we', 'prove', 'that', 'these', 'polynomials', 'are', 'unitary']] | [-0.19560095860562737, 0.15786498786671269, -0.036839031548269334, -0.007769953381765875, -0.058719302791981925, -0.13879569807059822, -0.056480087698136845, 0.3104615398953038, -0.3461289811639055, -0.17288069305941461, 0.13710265601384303, -0.25130695202087444, -0.18973580509003612, 0.13263995548890484, -0.035289987878903986, -0.004824476629672121, 0.04207126769207178, 0.15797523828223348, -0.10873589569462404, -0.2804449238468923, 0.37794439383301764, 0.010944609476193305, 0.19288526977142018, -0.0056568596001353956, 0.1254184293110044, 0.01624430405997461, -0.037052796382997785, -0.02183055927593922, -0.08360898463523031, 0.09124772249718174, 0.27913261137662393, 0.10151921916723011, 0.21215857691657278, -0.3420166558315677, -0.10889265009712788, 0.2151950354657827, 0.1486237172848515, 0.01541957217193539, 0.030947642183051474, -0.19643212342184158, 0.1539636960733802, -0.1792170787500518, -0.15368550319464938, -0.04116764818318188, 0.07891326367013878, 0.02977963431678232, -0.3155079228551908, 0.008673194017741949, 0.09653419757922811, 0.07490949309280803, -0.045021326655161474, -0.16328386503361886, -0.02500870633990534, 0.10511458845332175, -0.00319945732612283, -0.001716184166951045, 0.07705060289571843, -0.11218377482596664, -0.07048342575454303, 0.3938711449804325, -0.050213661865000765, -0.2495695017158024, 0.057953872985296674, -0.18330959387484097, -0.13949762594495568, 0.14481024181004615, 0.068694655564163, 0.12342104954765208, -0.012695442734289944, 0.1940833360310212, -0.11386436614538392, 0.12269230408954525, 0.09036271016624185, -0.01566652866876534, 0.12176662850073508, 0.05111816086798846, 0.046635206056816966, 0.1704685166297901, 0.006002405288839533, -0.03873837899957453, -0.3416950160877839, -0.20302611730031428, -0.20428086472750312, 0.0882592927108729, -0.16840498954820027, -0.18994086941163385, 0.4491909808629463, 0.03278827722627489, 0.21180528513261027, 0.0873501165867633, 0.2506085067446674, 0.1380527683195748, 0.06839170686960701, 0.04923341677434021, 0.13153975846099428, 0.19458231582877136, -0.013621526852911037, -0.2087261802576963, 0.03778660848676678, 0.16593963348517013] |
710.367 | Generalized Israel Junction Conditions for a Fourth-Order Brane World | We discuss a general fourth-order theory of gravity on the brane. In general,
the formulation of the junction conditions (except for Euler characteristics
such as Gauss-Bonnet term) leads to the higher powers of the delta function and
requires regularization. We suggest the way to avoid such a problem by imposing
the metric and its first derivative to be regular at the brane, while the
second derivative to have a kink, the third derivative of the metric to have a
step function discontinuity, and no sooner as the fourth derivative of the
metric to give the delta function contribution to the field equations.
Alternatively, we discuss the reduction of the fourth-order gravity to the
second-order theory by introducing an extra tensor field. We formulate the
appropriate junction conditions on the brane. We prove the equivalence of both
theories. In particular, we prove the equivalence of the junction conditions
with different assumptions related to the continuity of the metric along the
brane.
| hep-th astro-ph gr-qc | we discuss a general fourthorder theory of gravity on the brane in general the formulation of the junction conditions except for euler characteristics such as gaussbonnet term leads to the higher powers of the delta function and requires regularization we suggest the way to avoid such a problem by imposing the metric and its first derivative to be regular at the brane while the second derivative to have a kink the third derivative of the metric to have a step function discontinuity and no sooner as the fourth derivative of the metric to give the delta function contribution to the field equations alternatively we discuss the reduction of the fourthorder gravity to the secondorder theory by introducing an extra tensor field we formulate the appropriate junction conditions on the brane we prove the equivalence of both theories in particular we prove the equivalence of the junction conditions with different assumptions related to the continuity of the metric along the brane | [['we', 'discuss', 'a', 'general', 'fourthorder', 'theory', 'of', 'gravity', 'on', 'the', 'brane', 'in', 'general', 'the', 'formulation', 'of', 'the', 'junction', 'conditions', 'except', 'for', 'euler', 'characteristics', 'such', 'as', 'gaussbonnet', 'term', 'leads', 'to', 'the', 'higher', 'powers', 'of', 'the', 'delta', 'function', 'and', 'requires', 'regularization', 'we', 'suggest', 'the', 'way', 'to', 'avoid', 'such', 'a', 'problem', 'by', 'imposing', 'the', 'metric', 'and', 'its', 'first', 'derivative', 'to', 'be', 'regular', 'at', 'the', 'brane', 'while', 'the', 'second', 'derivative', 'to', 'have', 'a', 'kink', 'the', 'third', 'derivative', 'of', 'the', 'metric', 'to', 'have', 'a', 'step', 'function', 'discontinuity', 'and', 'no', 'sooner', 'as', 'the', 'fourth', 'derivative', 'of', 'the', 'metric', 'to', 'give', 'the', 'delta', 'function', 'contribution', 'to', 'the', 'field', 'equations', 'alternatively', 'we', 'discuss', 'the', 'reduction', 'of', 'the', 'fourthorder', 'gravity', 'to', 'the', 'secondorder', 'theory', 'by', 'introducing', 'an', 'extra', 'tensor', 'field', 'we', 'formulate', 'the', 'appropriate', 'junction', 'conditions', 'on', 'the', 'brane', 'we', 'prove', 'the', 'equivalence', 'of', 'both', 'theories', 'in', 'particular', 'we', 'prove', 'the', 'equivalence', 'of', 'the', 'junction', 'conditions', 'with', 'different', 'assumptions', 'related', 'to', 'the', 'continuity', 'of', 'the', 'metric', 'along', 'the', 'brane']] | [-0.17129143392667173, 0.052810308241987514, -0.09281465482781641, 0.07911412040120921, -0.11663091864465969, -0.10965211626316887, 0.001328842076327419, 0.29411998978903287, -0.26823324761353434, -0.28365805875509975, 0.09735210596263641, -0.2608504803138203, -0.14229929629218532, 0.1247036274522543, -0.06070726199541241, 0.02735013738165435, -0.027578202734002844, 0.07796141443541274, -0.12303507034666836, -0.23199633895710575, 0.4109782531537348, 0.022499925504962447, 0.23758114081138046, 0.09590745429886738, 0.14499955463979858, -0.03701835809188196, 0.011973051307722925, 0.035380696097854526, -0.14455697751691332, 0.0889531242159137, 0.16676965961232781, 0.07021567806077655, 0.2485307913069846, -0.453294505586382, -0.2206054579495685, 0.086542962679232, 0.07021684114297386, 0.12834519174793968, 0.008797847008099779, -0.26988137278240176, 0.1027568951180001, -0.14514331741956993, -0.1693727622827282, -0.04752053979318589, -0.005485594870697242, -0.020607473515337916, -0.25492300966288894, 0.07139494445436867, 0.05773912519653095, -0.00044022417278029026, -0.07755098381094286, -0.07005895476067962, -0.03355202020029537, 0.07267856122634839, 0.12310111319966381, 0.05605904569383711, 0.0638095604837872, -0.16151401367242216, -0.07382716216088739, 0.38972341956105083, -0.14635656954487786, -0.2632083814474754, 0.13559780025389045, -0.15542941418534612, -0.11545523590175436, 0.03721093926810681, 0.11461137345759198, 0.1787841542973183, -0.13761973442451564, 0.13050652754500333, 0.0423157552810153, 0.1096140900564933, 0.10735825186711737, 0.03343331326614134, 0.17997442266496363, 0.09379126669227844, 0.12637246914382558, 0.18416398621702684, -0.0555518339300761, -0.09609327184734866, -0.3973660045536235, -0.19411522721347865, -0.11584778694377747, 0.042490439426910595, -0.1732239331116034, -0.20760937204468063, 0.40487541935799526, 0.14505032800952905, 0.16856154303568474, 0.07830736844916827, 0.25374680950772016, 0.2154297569166374, 0.07185584905091673, 0.024951351672643795, 0.26605087975040076, 0.13933235467702615, 0.102603482727136, -0.25073519142915757, 0.01093882481509354, 0.13039820876147132] |
710.3671 | Modelling highway-traffic headway distributions using superstatistics | We study traffic clearance distributions (i.e., the instantaneous gap between
successive vehicles) and time headway distributions by applying Beck and
Cohen's superstatistics. We model the transition from free phase to congested
phase with the increase of vehicle density as a transition from the Poisson
statistics to that of the random matrix theory. We derive an analytic
expression for the spacing distributions that interpolates from the Poisson
distribution and Wigner's surmise and apply it to the distributions of the nett
distance and time gaps among the succeeding cars at different densities of
traffic flow. The obtained distribution fits the experimental results for
single-vehicle data of the Dutch freeway A9 and the German freeway A5.
| physics.soc-ph | we study traffic clearance distributions ie the instantaneous gap between successive vehicles and time headway distributions by applying beck and cohens superstatistics we model the transition from free phase to congested phase with the increase of vehicle density as a transition from the poisson statistics to that of the random matrix theory we derive an analytic expression for the spacing distributions that interpolates from the poisson distribution and wigners surmise and apply it to the distributions of the nett distance and time gaps among the succeeding cars at different densities of traffic flow the obtained distribution fits the experimental results for singlevehicle data of the dutch freeway a9 and the german freeway a5 | [['we', 'study', 'traffic', 'clearance', 'distributions', 'ie', 'the', 'instantaneous', 'gap', 'between', 'successive', 'vehicles', 'and', 'time', 'headway', 'distributions', 'by', 'applying', 'beck', 'and', 'cohens', 'superstatistics', 'we', 'model', 'the', 'transition', 'from', 'free', 'phase', 'to', 'congested', 'phase', 'with', 'the', 'increase', 'of', 'vehicle', 'density', 'as', 'a', 'transition', 'from', 'the', 'poisson', 'statistics', 'to', 'that', 'of', 'the', 'random', 'matrix', 'theory', 'we', 'derive', 'an', 'analytic', 'expression', 'for', 'the', 'spacing', 'distributions', 'that', 'interpolates', 'from', 'the', 'poisson', 'distribution', 'and', 'wigners', 'surmise', 'and', 'apply', 'it', 'to', 'the', 'distributions', 'of', 'the', 'nett', 'distance', 'and', 'time', 'gaps', 'among', 'the', 'succeeding', 'cars', 'at', 'different', 'densities', 'of', 'traffic', 'flow', 'the', 'obtained', 'distribution', 'fits', 'the', 'experimental', 'results', 'for', 'singlevehicle', 'data', 'of', 'the', 'dutch', 'freeway', 'a9', 'and', 'the', 'german', 'freeway', 'a5']] | [-0.08942606514402196, 0.1357408387987489, -0.14230723348569818, 0.08446290468450933, 0.0068556936622589035, -0.09930495023974671, 0.12271531151537578, 0.3590377343867996, -0.26768417364456154, -0.31879782375047166, 0.056907403372965785, -0.3101068813996637, -0.11040037773772085, 0.14033684460343215, -0.07262981910386279, 0.06480972424347316, 0.0473553524476237, 0.016609046377439415, -0.06981317689889564, -0.16394657666786713, 0.31455589563841313, 0.043511086464983174, 0.3541045386871669, 0.030444134558361452, 0.085073955316896, 0.027619855039530492, -0.01993688883721433, -0.02847861000274893, -0.14077030102641475, 0.09458287183269529, 0.22038024112755283, 0.11236658362688216, 0.20251307498037288, -0.4011387764022941, -0.2050710724135119, 0.09118609084640589, 0.09408820127919976, 0.05462275712083267, 0.013155446543391234, -0.32799640393494506, 0.03786831820564988, -0.21735682911280774, -0.11016818255482785, -0.0017464201963317079, 0.04068756452143456, 0.09393763200552986, -0.2951516513712704, 0.11024379407970515, 0.0029112015381059816, 0.045760151425343565, -0.06520915227587772, -0.13399665922223203, -0.018308745301534646, 0.2089528023199368, 0.09232733828794475, 0.003678305509327128, 0.10095868619422602, -0.11968925074608255, -0.08471022714836011, 0.3665762369941294, -0.05285996159917749, -0.12793606613655534, 0.1476051051878428, -0.15630059794778317, -0.09305777767903906, 0.12202294784870031, 0.15792038111609563, 0.05712389484031406, -0.1285011482186022, -0.004143910771761238, -0.04196513874509858, 0.11229686733269323, 0.09320321496971677, -0.07822672794449383, 0.13409112383965896, 0.1396272497878006, 0.08232858364544479, 0.1148598866508367, -0.1627353528314641, -0.18014291933103077, -0.28878117880198806, -0.11540369344957635, -0.2109607454776698, 0.006535722239486939, -0.13411644002988282, -0.12642070655587367, 0.37776313645484966, 0.16414171432771316, 0.22407001415185168, 0.1321623376271877, 0.28047207427680887, 0.1339606821477265, -0.0018448734973285314, 0.09466134707352757, 0.14097001483000451, 0.12108438923971447, 0.15529468915614802, -0.2023866258013532, 0.06698284126340157, 0.03493264627197873] |
710.3672 | Lepton masses and mixings in orbifold models with three Higgs families | We analyse the phenomenological viability of heterotic Z(3) orbifolds with
two Wilson lines, which naturally predict three supersymmetric families of
matter and Higgs fields. Given that these models can accommodate realistic
scenarios for the quark sector avoiding potentially dangerous flavour-changing
neutral currents, we now address the leptonic sector, finding that viable
orbifold configurations can in principle be obtained. In particular,it is
possible to accomodate present data on charged lepton masses, while avoiding
conflict with lepton flavour-violating decays. Concerning the generation of
neutrino masses and mixings, we find that Z(3) orbifolds offer several
interesting possibilities.
| hep-ph | we analyse the phenomenological viability of heterotic z3 orbifolds with two wilson lines which naturally predict three supersymmetric families of matter and higgs fields given that these models can accommodate realistic scenarios for the quark sector avoiding potentially dangerous flavourchanging neutral currents we now address the leptonic sector finding that viable orbifold configurations can in principle be obtained in particularit is possible to accomodate present data on charged lepton masses while avoiding conflict with lepton flavourviolating decays concerning the generation of neutrino masses and mixings we find that z3 orbifolds offer several interesting possibilities | [['we', 'analyse', 'the', 'phenomenological', 'viability', 'of', 'heterotic', 'z3', 'orbifolds', 'with', 'two', 'wilson', 'lines', 'which', 'naturally', 'predict', 'three', 'supersymmetric', 'families', 'of', 'matter', 'and', 'higgs', 'fields', 'given', 'that', 'these', 'models', 'can', 'accommodate', 'realistic', 'scenarios', 'for', 'the', 'quark', 'sector', 'avoiding', 'potentially', 'dangerous', 'flavourchanging', 'neutral', 'currents', 'we', 'now', 'address', 'the', 'leptonic', 'sector', 'finding', 'that', 'viable', 'orbifold', 'configurations', 'can', 'in', 'principle', 'be', 'obtained', 'in', 'particularit', 'is', 'possible', 'to', 'accomodate', 'present', 'data', 'on', 'charged', 'lepton', 'masses', 'while', 'avoiding', 'conflict', 'with', 'lepton', 'flavourviolating', 'decays', 'concerning', 'the', 'generation', 'of', 'neutrino', 'masses', 'and', 'mixings', 'we', 'find', 'that', 'z3', 'orbifolds', 'offer', 'several', 'interesting', 'possibilities']] | [-0.1148891960826492, 0.26416946517964524, 0.028656424846880697, 0.21740761563126798, -0.10213377160490841, -0.22161843384345692, 0.054100370982171145, 0.32516625625962614, -0.14405855072301724, -0.31234441792732603, 0.05327198110140299, -0.2583989242732685, -0.021706556667879184, 0.13273221061074286, -0.006037201061444257, 0.04649389918482993, 0.035361843333849986, -0.09747298073364041, -0.06667913752608001, -0.2646992402101156, 0.3442995819032833, -0.03975664626967202, 0.20326410296062628, 0.11384344625697342, 0.021282663930618072, -0.09118354898346688, -0.04966198210854844, -0.05648121511643772, -0.10184997743643728, 0.07809771005795287, 0.20586841406604375, 0.13437664048666115, 0.013613006846118037, -0.4268268451935822, -0.1989310227950374, 0.23582146363833578, 0.18535628201319806, 0.14306160452229882, -0.12140574306875507, -0.3156801968292203, 0.05934462701571324, -0.21350946646404043, -0.17481376333863183, -0.15685990995036497, -0.061267628444619075, -0.10119151102782037, -0.3336238258928862, 0.05831391050890889, -0.10679833784383992, -0.03832972488961914, 0.03366519687246652, -0.16694007659836682, -0.06603003024143637, 0.03659531452082178, 0.21888260688302258, -0.032347135656383086, 0.13933810486736137, -0.20725636899230943, -0.22201547063686836, 0.44396822390857565, -0.05012774317505299, -0.18259106559168187, 0.15326007078551956, -0.15777045816573645, -0.23519701518679179, 0.08847325410271722, 0.16605649206234063, 0.07509508375979719, -0.1805187577634589, 0.1676048760149648, -0.09272994938737122, 0.09461616284604515, 0.09698970860210798, 0.042777573947684576, 0.37840154775047813, 0.16527588667488227, 0.037838983775106486, 0.03091627900345972, -0.03298209625376408, -0.08424937183360359, -0.4245656274299147, -0.09311078216439934, 0.007349050483636318, 0.10530674509874355, -0.10207856924151651, -0.10799910614807759, 0.4337988344812265, 0.1761341937266851, 0.20765661432217525, 0.05033483519594396, 0.26313281756254936, 0.016700777014897715, 0.10503436330585711, 0.008960061471268375, 0.276655590922762, 0.11944913503623777, 0.09357315002720282, -0.23552117461178412, -0.07143181682156238, 0.08874544407170946] |
710.3673 | On the Fluctuation Relation for Nose-Hoover Boundary Thermostated
Systems | We discuss the transient and steady state fluctuation relation for a
mechanical system in contact with two deterministic thermostats at different
temperatures. The system is a modified Lorentz gas in which the fixed
scatterers exchange energy with the gas of particles, and the thermostats are
modelled by two Nos\'e-Hoover thermostats applied at the boundaries of the
system. The transient fluctuation relation, which holds only for a precise
choice of the initial ensemble, is verified at all times, as expected. Times
longer than the mesoscopic scale, needed for local equilibrium to be settled,
are required if a different initial ensemble is considered. This shows how the
transient fluctuation relation asymptotically leads to the steady state
relation when, as explicitly checked in our systems, the condition found in
[D.J. Searles, {\em et al.}, J. Stat. Phys. 128, 1337 (2007)], for the validity
of the steady state fluctuation relation, is verified. For the steady state
fluctuations of the phase space contraction rate $\zL$ and of the dissipation
function $\zW$, a similar relaxation regime at shorter averaging times is
found. The quantity $\zW$ satisfies with good accuracy the fluctuation relation
for times larger than the mesoscopic time scale; the quantity $\zL$ appears to
begin a monotonic convergence after such times. This is consistent with the
fact that $\zW$ and $\zL$ differ by a total time derivative, and that the tails
of the probability distribution function of $\zL$ are Gaussian.
| cond-mat.stat-mech | we discuss the transient and steady state fluctuation relation for a mechanical system in contact with two deterministic thermostats at different temperatures the system is a modified lorentz gas in which the fixed scatterers exchange energy with the gas of particles and the thermostats are modelled by two nosehoover thermostats applied at the boundaries of the system the transient fluctuation relation which holds only for a precise choice of the initial ensemble is verified at all times as expected times longer than the mesoscopic scale needed for local equilibrium to be settled are required if a different initial ensemble is considered this shows how the transient fluctuation relation asymptotically leads to the steady state relation when as explicitly checked in our systems the condition found in dj searles em et al j stat phys 128 1337 2007 for the validity of the steady state fluctuation relation is verified for the steady state fluctuations of the phase space contraction rate zl and of the dissipation function zw a similar relaxation regime at shorter averaging times is found the quantity zw satisfies with good accuracy the fluctuation relation for times larger than the mesoscopic time scale the quantity zl appears to begin a monotonic convergence after such times this is consistent with the fact that zw and zl differ by a total time derivative and that the tails of the probability distribution function of zl are gaussian | [['we', 'discuss', 'the', 'transient', 'and', 'steady', 'state', 'fluctuation', 'relation', 'for', 'a', 'mechanical', 'system', 'in', 'contact', 'with', 'two', 'deterministic', 'thermostats', 'at', 'different', 'temperatures', 'the', 'system', 'is', 'a', 'modified', 'lorentz', 'gas', 'in', 'which', 'the', 'fixed', 'scatterers', 'exchange', 'energy', 'with', 'the', 'gas', 'of', 'particles', 'and', 'the', 'thermostats', 'are', 'modelled', 'by', 'two', 'nosehoover', 'thermostats', 'applied', 'at', 'the', 'boundaries', 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710.3674 | Semigroup algebras of submonoids of polycyclic-by-finite groups and
maximal orders | Necessary and sufficient conditions are given for a prime Noetherian algebra
K[S] of a submonoid S of a polycyclic-by-finite group G to be a maximal order.
These conditions are entirely in terms of the monoid S. This extends earlier
results of Brown concerned with the group ring case and of the authors for the
case where K[S] satisfies a polynomial identity.
| math.RA | necessary and sufficient conditions are given for a prime noetherian algebra ks of a submonoid s of a polycyclicbyfinite group g to be a maximal order these conditions are entirely in terms of the monoid s this extends earlier results of brown concerned with the group ring case and of the authors for the case where ks satisfies a polynomial identity | [['necessary', 'and', 'sufficient', 'conditions', 'are', 'given', 'for', 'a', 'prime', 'noetherian', 'algebra', 'ks', 'of', 'a', 'submonoid', 's', 'of', 'a', 'polycyclicbyfinite', 'group', 'g', 'to', 'be', 'a', 'maximal', 'order', 'these', 'conditions', 'are', 'entirely', 'in', 'terms', 'of', 'the', 'monoid', 's', 'this', 'extends', 'earlier', 'results', 'of', 'brown', 'concerned', 'with', 'the', 'group', 'ring', 'case', 'and', 'of', 'the', 'authors', 'for', 'the', 'case', 'where', 'ks', 'satisfies', 'a', 'polynomial', 'identity']] | [-0.21308164576404406, 0.043645927048914256, -0.09126289759869458, 0.033727550808508255, -0.10933669296200157, -0.13971276760681486, 0.012365111733832564, 0.3155918541616287, -0.29514063381757893, -0.2275274816488267, 0.13292064787018434, -0.228097672833771, -0.06525322312458617, 0.18837686683066557, -0.12199340896589346, -0.016419975846608887, 0.06503223061378373, 0.13025611119924999, -0.07273486629128456, -0.30436889099751097, 0.3631114337410106, -0.005566449988572324, 0.14873391199002012, 0.012042102518445645, 0.06294510322699293, -0.010074243209034692, -0.06332654884222468, 0.028882903275919743, -0.16687102992942587, 0.06887816472864541, 0.2883440292760974, 0.06969339098231714, 0.2492559039201893, -0.37439331705452966, -0.11684667575554769, 0.1786865643301948, 0.0929639196389767, -0.03841979407751169, -0.005006231947756204, -0.26229737502843387, 0.18393275167670894, -0.1980733720463563, -0.15309431336697985, -0.004251946176051117, 0.1298551874876511, 0.022941378418539392, -0.37073393248510167, 0.05373049689243074, 0.12737581072772136, 0.14568656817322873, -0.05829054305184877, -0.09047304278575495, -0.002104865211504893, 0.0637164697829695, -0.034891314804553986, 0.039790719045234506, 0.051408152691409234, -0.08999324934633418, -0.0861287381820625, 0.39275539489310296, -0.05075356588874501, -0.17551363937434603, 0.16720099592214968, -0.19278465849576426, -0.15061769341347647, 0.1126891556043239, 0.007355641711075775, 0.18038651160895824, -0.09109636793126825, 0.20378513730199793, -0.18617890231677744, 0.09100626354853882, 0.08701133450157329, 0.037415881748082205, 0.12168130162935399, 0.08126985884536836, 0.09536783588090224, 0.14291623318911392, 0.03750618275438176, 0.0504516334898892, -0.4071139055685919, -0.18070736907605753, -0.1503730532178869, 0.11517374257969319, -0.06838386572971863, -0.10080920790367928, 0.4048629182039714, 0.08054915698031422, 0.14854150775392524, 0.07635219877616303, 0.18008121397712681, 0.07925213208769402, 0.0616528096849282, 0.06531984251389494, 0.08280125145846215, 0.2327647208862129, -0.0033845826983451843, -0.16324259520920573, 0.010882060707653643, 0.1684628180915215] |
710.3675 | The combinatorics of Bogoliubov's recursion in renormalization | We describe various combinatorial aspects of the Birkhoff-Connes-Kreimer
factorization in perturbative renormalisation. The analog of Bogoliubov's
preparation map on the Lie algebra of Feynman graphs is identified with the
pre-Lie Magnus expansion. Our results apply to any connected filtered Hopf
algebra, based on the pro-nilpotency of the Lie algebra of infinitesimal
characters.
| math-ph hep-th math.CO math.MP | we describe various combinatorial aspects of the birkhoffconneskreimer factorization in perturbative renormalisation the analog of bogoliubovs preparation map on the lie algebra of feynman graphs is identified with the prelie magnus expansion our results apply to any connected filtered hopf algebra based on the pronilpotency of the lie algebra of infinitesimal characters | [['we', 'describe', 'various', 'combinatorial', 'aspects', 'of', 'the', 'birkhoffconneskreimer', 'factorization', 'in', 'perturbative', 'renormalisation', 'the', 'analog', 'of', 'bogoliubovs', 'preparation', 'map', 'on', 'the', 'lie', 'algebra', 'of', 'feynman', 'graphs', 'is', 'identified', 'with', 'the', 'prelie', 'magnus', 'expansion', 'our', 'results', 'apply', 'to', 'any', 'connected', 'filtered', 'hopf', 'algebra', 'based', 'on', 'the', 'pronilpotency', 'of', 'the', 'lie', 'algebra', 'of', 'infinitesimal', 'characters']] | [-0.1858736033877358, 0.040449587233306376, -0.1529293959029019, 0.05592621174873784, -0.2018387844786048, -0.04463855266571045, -0.022810555566102265, 0.33296852342318745, -0.3552060141041875, -0.1794107532221824, 0.1413139451551251, -0.1832275335304439, -0.176733790487051, 0.1977803382370621, -0.10740456067025661, -0.04656537599861622, 0.10588084049522876, 0.1355988024175167, -0.12428605647975928, -0.23386342313140632, 0.4372836491558701, 0.01075028982013464, 0.25067541902884843, 0.01234109852463007, 0.15551941588521004, 0.058106082710437476, -0.09180595323443413, -0.06697941560298204, -0.16109405916184186, 0.10537798875942826, 0.30699255254119634, 0.018361431043595076, 0.15671558607835323, -0.3991618825122714, -0.04803875601384789, 0.08646233359351754, 0.15641848747152834, 0.07996598407626151, 0.00736709417309612, -0.31167276030406355, 0.05982683719135821, -0.2547652189619839, -0.08388559421524405, -0.12086937220767141, 0.010551905110478401, -0.029375914447009564, -0.16963739135302602, 0.03265507135540247, 0.040663800453767183, 0.10633386525791139, -0.047695706160739065, -0.09448029533028603, -0.0474612976773642, 0.1075411409046501, -0.07635670383926481, -0.005686524603515863, 0.1832306768000126, -0.10883659448474646, -0.24264526008279064, 0.36975221226923166, 0.006388983093202114, -0.20364355056080968, 0.11299773507518694, -0.19663750167936087, -0.24619534136727453, 0.081608209265396, 0.0492975914478302, 0.11366821886447724, -0.052451762417331335, 0.2122887498140335, -0.08631305469200015, 0.014759275242686271, 0.09828069090377539, -0.03444027170538902, 0.0730260130763054, 0.12334528839215636, -0.016250213105231524, 0.1502714810008183, 0.057995510639157144, -0.09223533243697603, -0.394678703173995, -0.14444366129115224, -0.1537833358673379, 0.12529712786898017, -0.19646769773215056, -0.235291945412755, 0.45036872357130053, 0.19466643778607248, 0.15575526501983405, 0.07705028044059872, 0.22274977697059511, 0.13415424776496365, 0.17657154152169824, 0.020521276565268635, 0.15355327792465687, 0.3160064923763275, 0.01867908749729395, -0.19592957953922452, -0.08280949647538365, 0.28565447304397823] |
710.3676 | Outliers in dynamic factor models | Dynamic factor models have a wide range of applications in econometrics and
applied economics. The basic motivation resides in their capability of reducing
a large set of time series to only few indicators (factors). If the number of
time series is large compared to the available number of observations then most
information may be conveyed to the factors. This way low dimension models may
be estimated for explaining and forecasting one or more time series of
interest. It is desirable that outlier free time series be available for
estimation. In practice, outlying observations are likely to arise at unknown
dates due, for instance, to external unusual events or gross data entry errors.
Several methods for outlier detection in time series are available. Most
methods, however, apply to univariate time series while even methods designed
for handling the multivariate framework do not include dynamic factor models
explicitly. A method for discovering outliers occurrences in a dynamic factor
model is introduced that is based on linear transforms of the observed data.
Some strategies to separate outliers that add to the model and outliers within
the common component are discussed. Applications to simulated and real data
sets are presented to check the effectiveness of the proposed method.
| math.ST stat.TH | dynamic factor models have a wide range of applications in econometrics and applied economics the basic motivation resides in their capability of reducing a large set of time series to only few indicators factors if the number of time series is large compared to the available number of observations then most information may be conveyed to the factors this way low dimension models may be estimated for explaining and forecasting one or more time series of interest it is desirable that outlier free time series be available for estimation in practice outlying observations are likely to arise at unknown dates due for instance to external unusual events or gross data entry errors several methods for outlier detection in time series are available most methods however apply to univariate time series while even methods designed for handling the multivariate framework do not include dynamic factor models explicitly a method for discovering outliers occurrences in a dynamic factor model is introduced that is based on linear transforms of the observed data some strategies to separate outliers that add to the model and outliers within the common component are discussed applications to simulated and real data sets are presented to check the effectiveness of the proposed method | [['dynamic', 'factor', 'models', 'have', 'a', 'wide', 'range', 'of', 'applications', 'in', 'econometrics', 'and', 'applied', 'economics', 'the', 'basic', 'motivation', 'resides', 'in', 'their', 'capability', 'of', 'reducing', 'a', 'large', 'set', 'of', 'time', 'series', 'to', 'only', 'few', 'indicators', 'factors', 'if', 'the', 'number', 'of', 'time', 'series', 'is', 'large', 'compared', 'to', 'the', 'available', 'number', 'of', 'observations', 'then', 'most', 'information', 'may', 'be', 'conveyed', 'to', 'the', 'factors', 'this', 'way', 'low', 'dimension', 'models', 'may', 'be', 'estimated', 'for', 'explaining', 'and', 'forecasting', 'one', 'or', 'more', 'time', 'series', 'of', 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710.3677 | Five-dimensional PPN formalism and experimental test of Kaluza-Klein
theory | The parametrized post Newtonian formalism for 5-dimensional metric theories
with a compact extra dimension is developed. The relation of the 5-dimensional
and 4-dimensional formulations is then analyzed, in order to compare the higher
dimensional theories of gravity with experiments. It turns out that the value
of post Newtonian parameter $\gamma$ in the reduced 5-dimensional Kaluza-Klein
theory is two times smaller than that in 4-dimensional general relativity. The
departure is due to the existence of an extra dimension in the Kaluza-Klein
theory. Thus the confrontation between the reduced 4-dimensional formalism and
Solar system experiments raises a severe challenge to the classical
Kaluza-Klein theory.
| gr-qc astro-ph hep-th | the parametrized post newtonian formalism for 5dimensional metric theories with a compact extra dimension is developed the relation of the 5dimensional and 4dimensional formulations is then analyzed in order to compare the higher dimensional theories of gravity with experiments it turns out that the value of post newtonian parameter gamma in the reduced 5dimensional kaluzaklein theory is two times smaller than that in 4dimensional general relativity the departure is due to the existence of an extra dimension in the kaluzaklein theory thus the confrontation between the reduced 4dimensional formalism and solar system experiments raises a severe challenge to the classical kaluzaklein theory | [['the', 'parametrized', 'post', 'newtonian', 'formalism', 'for', '5dimensional', 'metric', 'theories', 'with', 'a', 'compact', 'extra', 'dimension', 'is', 'developed', 'the', 'relation', 'of', 'the', '5dimensional', 'and', '4dimensional', 'formulations', 'is', 'then', 'analyzed', 'in', 'order', 'to', 'compare', 'the', 'higher', 'dimensional', 'theories', 'of', 'gravity', 'with', 'experiments', 'it', 'turns', 'out', 'that', 'the', 'value', 'of', 'post', 'newtonian', 'parameter', 'gamma', 'in', 'the', 'reduced', '5dimensional', 'kaluzaklein', 'theory', 'is', 'two', 'times', 'smaller', 'than', 'that', 'in', '4dimensional', 'general', 'relativity', 'the', 'departure', 'is', 'due', 'to', 'the', 'existence', 'of', 'an', 'extra', 'dimension', 'in', 'the', 'kaluzaklein', 'theory', 'thus', 'the', 'confrontation', 'between', 'the', 'reduced', '4dimensional', 'formalism', 'and', 'solar', 'system', 'experiments', 'raises', 'a', 'severe', 'challenge', 'to', 'the', 'classical', 'kaluzaklein', 'theory']] | [-0.11430180859386775, 0.14084914772141857, -0.07854479780493706, 0.10302271806251477, -0.08675204399133138, -0.15869788772554375, -0.029487499427369925, 0.23175459871452084, -0.18152509361286373, -0.2873527861346363, 0.049333728157102553, -0.2707069401684053, -0.16624141400497333, 0.17769747229028202, -0.07786305059733636, 0.010002029194569616, 0.010973289901135014, 0.08190482653969643, -0.1456409630995682, -0.2745400401261434, 0.3622449155230367, 0.08919149567829628, 0.2532680820418047, 0.02386626053610634, 0.10883186201510184, -0.04324516668851834, -0.018576608541622467, 0.0682090033923148, -0.15281319965716272, 0.12101749862160753, 0.21705147657342547, 0.09434452879826959, 0.2091223510055273, -0.4105654289836393, -0.2578776699625522, 0.09407174039298814, 0.09804890590135519, 0.11992662681230143, 0.014781107742558508, -0.2730093017841379, 0.09568130682386897, -0.19638494227318934, -0.19572477291027704, -0.02454598538358422, 0.03272029530147419, -0.17927186890486993, -0.2185399394080627, 0.09549296905706618, 0.040456120707733814, 0.01127798873565945, -0.08361373021833453, -0.05281528286457829, -0.04629896035162257, 0.03954860996044077, 0.1495317938810616, 0.04456290026542311, 0.09974400044473655, -0.12189332363927594, -0.1389505991063939, 0.4489571855074781, -0.09805675755056904, -0.25633203398947624, 0.19145002415376333, -0.16523461169837153, -0.11941341979100424, 0.09721089654839506, 0.15290454035058765, 0.1574302984392453, -0.1150708154309541, 0.19890923336417615, -0.019442050706357787, 0.1609624592295172, 0.10354808719335672, -0.005868433081595154, 0.22330356348652905, 0.1563265420423419, 0.03297146247225065, 0.09964044344173197, -0.017676380636426164, -0.17593153764941163, -0.3460662553506885, -0.16140818028825202, -0.10408294410901327, 0.11710950334592923, -0.1861386887461527, -0.11838664834424123, 0.3097207217532046, 0.11644567939904793, 0.1405279928653994, 0.052045289858463496, 0.26797478260728075, 0.11518751378582023, 0.06495638662839637, 0.029242358928290652, 0.29497241365778093, 0.15812051464922214, 0.061213576734778195, -0.20749123345640505, -0.13156800047841435, 0.13940636592679748] |
710.3678 | An Extension of Alzer's Inequality | In this article, we obtain two interesting general inequalities concerning
Riemman sums of convex functions, which in particular, sharpen Alzer's
inequality and give a suitable converse for it.
| math.CA | in this article we obtain two interesting general inequalities concerning riemman sums of convex functions which in particular sharpen alzers inequality and give a suitable converse for it | [['in', 'this', 'article', 'we', 'obtain', 'two', 'interesting', 'general', 'inequalities', 'concerning', 'riemman', 'sums', 'of', 'convex', 'functions', 'which', 'in', 'particular', 'sharpen', 'alzers', 'inequality', 'and', 'give', 'a', 'suitable', 'converse', 'for', 'it']] | [-0.0991392778897924, 0.011144784645044379, -0.11100567921364148, 0.1735247098965504, -0.08616928962458457, -0.2274253606363865, 0.05558752529655716, 0.26387844647147823, -0.2861828726849386, -0.1904818899264293, 0.15164039308105462, -0.2181867745571903, -0.22136397919218456, 0.26758386720237987, -0.1560152561204242, 0.03666458937472531, 0.03892924247442612, -0.019077674452481524, -0.10347089448311765, -0.31708422429593547, 0.35661996036235777, -0.10804335679858923, 0.1801913468765893, 0.19709724369126239, 0.04919999541847834, 0.09498195007576474, -0.021324280549639037, -0.00834760575422219, -0.2886817696437772, 0.2245347368131791, 0.314560580732567, 0.156108838572566, 0.26750549542651114, -0.38208421585815294, -0.10779376259805369, 0.15812137330483114, 0.1140077528710078, 0.039513477602408136, -0.08480111615998405, -0.25849708625381546, -0.0023092671763151884, -0.10234107309952378, -0.17304269916244916, -0.13497442219938552, 0.007570888930266457, 0.07708636837612305, -0.3313091511705092, 0.1261771157982626, 0.16254000418952533, 0.04473129693568418, -0.07051998891152575, -0.13462231204695335, 0.16603063211576746, 0.023316479969902763, 0.06450887356602054, 0.05571123983411651, -0.020667405865554298, -0.004579845142351198, -0.10439195613642889, 0.27681528800167143, 0.018927992334023917, -0.2720068114410554, 0.1073256400496965, -0.18871244759897568, -0.2832793254139168, -0.0018376358452119998, 0.1721096480032429, 0.18206127673121436, -0.1456913818006537, 0.13952741399199503, -0.20111694958593165, 0.009846830873617105, 0.18110890543487454, 0.11372959323801167, 0.04860303710613932, -0.002418705170774566, 0.17918838916479476, 0.2552724280727229, 0.09709953458514065, -0.06355835357680917, -0.3929770820375, -0.240735280460545, -0.13798531251294271, 0.12282817385026387, -0.15016039041750315, -0.18563847842493228, 0.3458737898617983, 0.08324614233736481, 0.12800102441438607, 0.15752168994679647, 0.20594017526933125, 0.1322076307343585, -0.02771632226982287, 0.025996016704344323, 0.21192146225699357, 0.23354482670713747, 0.06723815891226488, -0.05368853486808283, 0.044387997942976654, 0.14690613500507815] |
710.3679 | Bayesian inference with rescaled Gaussian process priors | We use rescaled Gaussian processes as prior models for functional parameters
in nonparametric statistical models. We show how the rate of contraction of the
posterior distributions depends on the scaling factor. In particular, we
exhibit rescaled Gaussian process priors yielding posteriors that contract
around the true parameter at optimal convergence rates. To derive our results
we establish bounds on small deviation probabilities for smooth stationary
Gaussian processes.
| math.ST stat.TH | we use rescaled gaussian processes as prior models for functional parameters in nonparametric statistical models we show how the rate of contraction of the posterior distributions depends on the scaling factor in particular we exhibit rescaled gaussian process priors yielding posteriors that contract around the true parameter at optimal convergence rates to derive our results we establish bounds on small deviation probabilities for smooth stationary gaussian processes | [['we', 'use', 'rescaled', 'gaussian', 'processes', 'as', 'prior', 'models', 'for', 'functional', 'parameters', 'in', 'nonparametric', 'statistical', 'models', 'we', 'show', 'how', 'the', 'rate', 'of', 'contraction', 'of', 'the', 'posterior', 'distributions', 'depends', 'on', 'the', 'scaling', 'factor', 'in', 'particular', 'we', 'exhibit', 'rescaled', 'gaussian', 'process', 'priors', 'yielding', 'posteriors', 'that', 'contract', 'around', 'the', 'true', 'parameter', 'at', 'optimal', 'convergence', 'rates', 'to', 'derive', 'our', 'results', 'we', 'establish', 'bounds', 'on', 'small', 'deviation', 'probabilities', 'for', 'smooth', 'stationary', 'gaussian', 'processes']] | [-0.024226762423875618, 0.07218047903517066, -0.13225650416909537, 0.13996898070592526, -0.02403512481711249, -0.10449026714760198, 0.134670690445702, 0.4264971135434375, -0.28225286417195933, -0.2331290939377982, 0.07216057543809623, -0.21473049729673274, -0.11666550216223322, 0.20376779250592106, -0.07759984631313761, 0.12827947945681525, 0.043277268992987145, -0.004040632793096019, -0.11001548619676771, -0.2353221935067159, 0.3284233191620503, 0.0850145465124454, 0.3271947168022283, -0.04756035117098867, 0.12825305741141313, 0.0024167464684639404, -0.02349815609927442, -0.08369154324268561, -0.26824265520782087, 0.07432195935537343, 0.19812804925806712, 0.15421056391587898, 0.29058841160679266, -0.37813359109768224, -0.23377396338688794, 0.17114186815139074, 0.1409704901118165, 0.07973410132160383, 0.002415986241661568, -0.23955692345651783, 0.04708781096139061, -0.11972431871873229, -0.13530579113415372, -0.13193295569395397, -0.028826575726270676, 0.10164384527910333, -0.38500549519128763, 0.198964585244322, 0.10389919381644298, -0.011879411150715244, -0.056677000214860065, -0.15957768407386186, 0.005196488945425224, 0.10540965099388094, 0.08455910790779406, -0.06324237072145317, 0.198102763763615, -0.1314903636977299, -0.08620257517357649, 0.25127338750093287, -0.16860864490771027, -0.26751082232082957, 0.13496241974296855, -0.18326837397110995, -0.19045087746379258, 0.09618201156827941, 0.2552198044705524, 0.12454235500920174, -0.13716676916037476, 0.11238177354211237, 0.0023659078713589863, 0.12894692010621525, 0.05776452027268207, -0.005759227805451226, 0.1386798014186684, 0.1347470933036295, 0.08602353020001259, 0.12434642302887097, -0.12458512357283216, -0.190288419320957, -0.34800699731307244, -0.07843559107451296, -0.19741832106304702, 0.036725438199937344, -0.23943908940722694, -0.20565032647443074, 0.3142144793449943, 0.1942796641717484, 0.24209120619430471, 0.20518859339627757, 0.20844138794536912, 0.18428922284033095, -0.022906048751589077, 0.11626825302686375, 0.22025018346621028, 0.13428064788789001, -0.013889628198387018, -0.1155421087872793, 0.17069522131568016, 0.012296757803284633] |
710.368 | Mass and angular-momentum inequalities for axi-symmetric initial data
sets I. Positivity of mass | We extend the validity of Brill's axisymmetric positive energy theorem to all
asymptotically flat initial data sets with positive scalar curvature on simply
connected manifolds.
| gr-qc | we extend the validity of brills axisymmetric positive energy theorem to all asymptotically flat initial data sets with positive scalar curvature on simply connected manifolds | [['we', 'extend', 'the', 'validity', 'of', 'brills', 'axisymmetric', 'positive', 'energy', 'theorem', 'to', 'all', 'asymptotically', 'flat', 'initial', 'data', 'sets', 'with', 'positive', 'scalar', 'curvature', 'on', 'simply', 'connected', 'manifolds']] | [-0.1996726011345163, 0.09432908296585082, -0.044427000526338814, 0.14443876918405293, -0.1357198387943208, -0.19693919442594052, -0.025603871084749697, 0.3388288452103734, -0.12866483643651008, -0.2161634428007528, 0.10978011744096876, -0.2799451917409897, -0.04654247458325699, 0.18446182310581208, -0.0830699122697115, 0.04649421188980341, 0.0715680544450879, 0.04987974837422371, -0.019395211637020113, -0.2990325993299484, 0.5068534471094608, -0.03494921386241913, 0.26716945856809615, 0.08954464189708233, 0.10396805435884744, -0.0023374565783888103, -0.013922086860984563, 0.10359271651133894, -0.22543458219617604, 0.0847736967355013, 0.2217127425968647, 0.0775943479500711, 0.22028688877820968, -0.36778659343719483, -0.1976105010509491, 0.22707111231982707, 0.07216869816184043, 0.0576013489253819, -0.008715676465071738, -0.2817703291773796, 0.15693334482610224, -0.07899813625961542, -0.2672365983761847, -0.10158904027193785, -0.007786918729543686, -0.009840467832982541, -0.2210827975720167, 0.1367110938578844, 0.09552180184051394, -0.020787497125566004, -0.20253308076411486, -0.10757442958652973, -0.10137187169864774, 0.04916336459107697, 0.08373966377228498, 0.0003290050569921732, 0.11185097180306912, 0.0478682242706418, -0.07309270512778313, 0.20446270918473602, -0.129317414984107, -0.33831652261316775, 0.11492197334766388, -0.16200900580734015, -0.08350381705909968, 0.10887776717543601, 0.15962748363614082, 0.15442064821720122, -0.029427206492982805, 0.1922591046988964, -0.039256744533777234, 0.09237475141882896, 0.16299097802489995, -0.06822816416621208, 0.2023238667845726, 0.04033308796584606, 0.14312860455363988, 0.10066384315490723, 0.04215438355691731, -0.10730828747153281, -0.3770136021077633, -0.08950473241508007, -0.20951869801152498, 0.22734266210347415, -0.194631709754467, -0.2472297579050064, 0.3625049155950546, -0.00017900967970490455, 0.16121799152344465, 0.1994948233664036, 0.3020832918584347, -0.01476510014384985, 0.005790156479924917, 0.19830552496016027, 0.18629038736224174, 0.2376030545681715, 0.09809917205944657, -0.11003794625401497, -0.11916565386578441, 0.06867268709465861] |
710.3681 | Some New Inequalities Between Important Means | In this paper, mainly using the convexity of the function
$\frac{a^x-b^x}{c^x-d^x}$ and convexity or concavity of the function
$\ln\frac{a^x-b^x}{c^x-d^x}$ on the real line, where $a>b\geq c>d>0$ are fixed
real numbers, we obtain some important relations between various important
means of these numbers. Also, we apply the obtained results to Ky Fan type
inequalities and get some new refinements.
| math.CA | in this paper mainly using the convexity of the function fracaxbxcxdx and convexity or concavity of the function lnfracaxbxcxdx on the real line where abgeq cd0 are fixed real numbers we obtain some important relations between various important means of these numbers also we apply the obtained results to ky fan type inequalities and get some new refinements | [['in', 'this', 'paper', 'mainly', 'using', 'the', 'convexity', 'of', 'the', 'function', 'fracaxbxcxdx', 'and', 'convexity', 'or', 'concavity', 'of', 'the', 'function', 'lnfracaxbxcxdx', 'on', 'the', 'real', 'line', 'where', 'abgeq', 'cd0', 'are', 'fixed', 'real', 'numbers', 'we', 'obtain', 'some', 'important', 'relations', 'between', 'various', 'important', 'means', 'of', 'these', 'numbers', 'also', 'we', 'apply', 'the', 'obtained', 'results', 'to', 'ky', 'fan', 'type', 'inequalities', 'and', 'get', 'some', 'new', 'refinements']] | [-0.11143629267722385, 0.04842532390362716, -0.059494294841507714, 0.13724557133017307, -0.08986085593018547, -0.1100448611624805, 0.07030677459260914, 0.3280879304345165, -0.29832834916721496, -0.28458263421530966, 0.15424576292571146, -0.27815522760751527, -0.208809819193058, 0.234147813591075, -0.0721132578660867, 0.05857615766581148, 0.0017991010556995337, 0.024101254613404826, -0.09893960296176374, -0.27016618654930163, 0.40895072976127267, -0.03625142935275757, 0.19653806109896063, 0.10739593471433702, 0.03760344470252416, 0.04257227966861267, -0.03228458030415433, 0.03934292348900011, -0.1995040534945604, 0.1621282939034115, 0.17956379149524895, 0.1805685132525728, 0.254707047166968, -0.404592622320966, -0.122624033363536, 0.15361592822176004, 0.11216851865590018, -0.02003810286987573, -0.0539992393148298, -0.24538057896175555, 0.09814697467455906, -0.08351724799389817, -0.13478789265666688, -0.10105290658040238, -0.02442397267025496, 0.1562039643758908, -0.2699286593789501, 0.0378151470665346, 0.06623535972487714, 0.10738152566773351, -0.06681856553768739, -0.17512605801623846, 0.0036934148998365606, 0.10355533857779976, 0.07158632852536227, 0.006306087215697127, 0.06355322160691555, -0.08020101530460774, -0.07760328286427207, 0.3218383509000497, 0.007931937746304487, -0.23239721872544447, 0.17732232263993605, -0.18351527164174644, -0.18932740130029352, 0.04314077619762559, 0.14036998631698744, 0.14008224715611764, -0.07502506063818666, 0.07243448896042537, -0.09104989040809285, 0.07675389416648873, 0.11807709540672866, 0.03705157419400556, 0.08955833586930696, 0.021809078520163894, 0.06321944063529372, 0.1877122584805225, -0.06015488492474625, -0.057441495275790136, -0.3880176907737872, -0.1928694410515683, -0.16234542946663819, 0.08327736574158605, -0.139940683835448, -0.13601529082682515, 0.34767104166426827, 0.12213097440378208, 0.23852800547943584, 0.05837217209461544, 0.25075155436726554, 0.1332116379801716, 0.016559322863551124, 0.03507187002937177, 0.194207982381548, 0.18562162235944665, 0.10815784056571179, -0.13205154341579015, 0.03707562346244231, 0.10924508611372273] |
710.3682 | Probing Elemental Abundances in SNR 1987A Using XMM-Newton | We report on the latest (2007 Jan) observations of supernova remnant (SNR)
1987A from the XMM-Newton mission. Since the 2003 May observations of Haberl et
al. (2006), 11 emission lines have experienced increases in flux by factors ~ 3
to 10, with the 775 eV line of O VIII showing the greatest increase; we have
observed 6 lines of Fe XVII and Fe XVIII previously unreported by XMM-Newton. A
two-shock model representing plasmas in non-equilibrium ionization is fitted to
the EPIC-pn spectra, yielding temperatures of ~ 0.4 and ~ 3 keV, as well as
elemental abundances for N, O, Ne, Mg, Si, S and Fe. We demonstrate that the
abundance ratio of N and O can be constrained to less than ~20% accuracy.
Within the same confidence interval, the same analysis suggests that the C+N+O
abundance varies from ~ 1.1 to 1.4 X 10^-4. Normalizing our obtained abundances
by the Large Magellanic Cloud (LMC) values of Hughes, Hayashi & Koyama (1998),
we find that O, Ne, Mg and Fe are under-abundant, while Si and S are
over-abundant, consistent with the findings of Aschenbach (2007). Such a result
has implications for both the single-star and binary accretion/merger models
for the progenitor of SNR 1987A. In the context of the binary merger scenario
proposed by Morris & Podsiadlowski (2006, 2007), material forming the inner,
equatorial ring was expelled after the merger, implying that either our derived
Fe abundance is inconsistent with typical LMC values or that iron is
under-abundant at the site of the progenitor star of SNR 1987A.
| astro-ph | we report on the latest 2007 jan observations of supernova remnant snr 1987a from the xmmnewton mission since the 2003 may observations of haberl et al 2006 11 emission lines have experienced increases in flux by factors 3 to 10 with the 775 ev line of o viii showing the greatest increase we have observed 6 lines of fe xvii and fe xviii previously unreported by xmmnewton a twoshock model representing plasmas in nonequilibrium ionization is fitted to the epicpn spectra yielding temperatures of 04 and 3 kev as well as elemental abundances for n o ne mg si s and fe we demonstrate that the abundance ratio of n and o can be constrained to less than 20 accuracy within the same confidence interval the same analysis suggests that the cno abundance varies from 11 to 14 x 104 normalizing our obtained abundances by the large magellanic cloud lmc values of hughes hayashi koyama 1998 we find that o ne mg and fe are underabundant while si and s are overabundant consistent with the findings of aschenbach 2007 such a result has implications for both the singlestar and binary accretionmerger models for the progenitor of snr 1987a in the context of the binary merger scenario proposed by morris podsiadlowski 2006 2007 material forming the inner equatorial ring was expelled after the merger implying that either our derived fe abundance is inconsistent with typical lmc values or that iron is underabundant at the site of the progenitor star of snr 1987a | [['we', 'report', 'on', 'the', 'latest', '2007', 'jan', 'observations', 'of', 'supernova', 'remnant', 'snr', '1987a', 'from', 'the', 'xmmnewton', 'mission', 'since', 'the', '2003', 'may', 'observations', 'of', 'haberl', 'et', 'al', '2006', '11', 'emission', 'lines', 'have', 'experienced', 'increases', 'in', 'flux', 'by', 'factors', '3', 'to', '10', 'with', 'the', '775', 'ev', 'line', 'of', 'o', 'viii', 'showing', 'the', 'greatest', 'increase', 'we', 'have', 'observed', '6', 'lines', 'of', 'fe', 'xvii', 'and', 'fe', 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710.3683 | Spiral Galaxies Rotation Curves with a Logarithmic Corrected Newtonian
Gravitational Potential | We analyze the rotation curves of 10 spiral galaxies with a newtonian
potential corrected with an extra logarithmic term, using a disc modelization
for the spiral galaxies. There is a new constant associated with the extra term
in the potential. The rotation curve of the chosen sample of spiral galaxies is
well reproduced for a given range of the new constant. It is argued that this
correction can have its origin from string configurations. The compatibility of
this correction with local physics is discussed.
| astro-ph gr-qc hep-th | we analyze the rotation curves of 10 spiral galaxies with a newtonian potential corrected with an extra logarithmic term using a disc modelization for the spiral galaxies there is a new constant associated with the extra term in the potential the rotation curve of the chosen sample of spiral galaxies is well reproduced for a given range of the new constant it is argued that this correction can have its origin from string configurations the compatibility of this correction with local physics is discussed | [['we', 'analyze', 'the', 'rotation', 'curves', 'of', '10', 'spiral', 'galaxies', 'with', 'a', 'newtonian', 'potential', 'corrected', 'with', 'an', 'extra', 'logarithmic', 'term', 'using', 'a', 'disc', 'modelization', 'for', 'the', 'spiral', 'galaxies', 'there', 'is', 'a', 'new', 'constant', 'associated', 'with', 'the', 'extra', 'term', 'in', 'the', 'potential', 'the', 'rotation', 'curve', 'of', 'the', 'chosen', 'sample', 'of', 'spiral', 'galaxies', 'is', 'well', 'reproduced', 'for', 'a', 'given', 'range', 'of', 'the', 'new', 'constant', 'it', 'is', 'argued', 'that', 'this', 'correction', 'can', 'have', 'its', 'origin', 'from', 'string', 'configurations', 'the', 'compatibility', 'of', 'this', 'correction', 'with', 'local', 'physics', 'is', 'discussed']] | [-0.13874783089184867, 0.06627221843051043, -0.10576145703228013, 0.11029974139750093, -0.0736093629550721, -0.11296439274502475, 0.003988711253831363, 0.35146350338168086, -0.23622755593221104, -0.31636548479132, 0.06689755166076966, -0.2579595570097722, -0.10594240788902555, 0.18565577747566359, -0.05457880097397026, 0.007554750464762384, -0.012478469183579796, -0.004818633613121208, -0.07012935689861133, -0.2686227271333337, 0.3331614621648831, 0.06234836705871636, 0.16196689543236667, -0.030936409142755326, 0.12780192052014172, -0.059209124689611294, -0.03853965649336931, 0.01629948811162086, -0.16600100336628593, 0.06399160402915663, 0.15173714219625772, 0.07342741314676546, 0.21917441646967614, -0.3596733124323648, -0.23350997297980247, 0.08611126339417838, 0.13969789353931056, 0.14432900245412297, -0.11473722981255767, -0.23243737281743615, 0.09086886160297408, -0.16538746149550812, -0.22444727066682563, -0.018425991864032334, 0.05922041591700344, 0.017523222835734487, -0.22311581334187872, 0.10414380583512996, 0.03785299646274541, 0.08921919174359313, -0.07721051202471634, -0.0725481160971824, -0.016218912757245733, 0.09131254805141084, 0.08393093926826536, 0.13944713987543114, 0.13296467245977728, -0.16281919022245953, -0.06196365250451934, 0.43769333416241263, -0.11667461638959746, -0.1403303553400162, 0.14969333078313088, -0.16374538624880924, -0.09199437165876762, 0.10680785379926896, 0.10910502365524215, 0.06139294096335236, -0.1325367116369307, 0.10979929775930941, -0.017341387341730297, 0.18987390533133985, 0.03673245159388032, 0.019021118902379557, 0.25537024287595633, 0.11844016873233375, 0.0448347227065824, 0.12653723498944947, -0.13065378403171918, -0.07932196196079963, -0.3733771875101541, -0.1040781846580406, -0.1463931941072501, 0.06012614395114638, -0.15054866846739537, -0.15381012921265902, 0.3787073405636918, 0.04304684988511283, 0.2395899074756363, 0.042717073911002705, 0.27315159995729726, 0.12691845647281125, 0.1601612474769354, 0.08468845805397168, 0.29929713487979914, 0.1268775362321841, 0.060267469381436796, -0.24743587613227733, 0.05779645640203463, 0.003617093341225492] |
710.3684 | Weak convergence of Metropolis algorithms for non-i.i.d. target
distributions | In this paper, we shall optimize the efficiency of Metropolis algorithms for
multidimensional target distributions with scaling terms possibly depending on
the dimension. We propose a method for determining the appropriate form for the
scaling of the proposal distribution as a function of the dimension, which
leads to the proof of an asymptotic diffusion theorem. We show that when there
does not exist any component with a scaling term significantly smaller than the
others, the asymptotically optimal acceptance rate is the well-known 0.234.
| math.PR | in this paper we shall optimize the efficiency of metropolis algorithms for multidimensional target distributions with scaling terms possibly depending on the dimension we propose a method for determining the appropriate form for the scaling of the proposal distribution as a function of the dimension which leads to the proof of an asymptotic diffusion theorem we show that when there does not exist any component with a scaling term significantly smaller than the others the asymptotically optimal acceptance rate is the wellknown 0234 | [['in', 'this', 'paper', 'we', 'shall', 'optimize', 'the', 'efficiency', 'of', 'metropolis', 'algorithms', 'for', 'multidimensional', 'target', 'distributions', 'with', 'scaling', 'terms', 'possibly', 'depending', 'on', 'the', 'dimension', 'we', 'propose', 'a', 'method', 'for', 'determining', 'the', 'appropriate', 'form', 'for', 'the', 'scaling', 'of', 'the', 'proposal', 'distribution', 'as', 'a', 'function', 'of', 'the', 'dimension', 'which', 'leads', 'to', 'the', 'proof', 'of', 'an', 'asymptotic', 'diffusion', 'theorem', 'we', 'show', 'that', 'when', 'there', 'does', 'not', 'exist', 'any', 'component', 'with', 'a', 'scaling', 'term', 'significantly', 'smaller', 'than', 'the', 'others', 'the', 'asymptotically', 'optimal', 'acceptance', 'rate', 'is', 'the', 'wellknown', '0234']] | [-0.0969436971908323, 0.08921762716732723, -0.12006441903222038, 0.07033666716720235, -0.04851046859858984, -0.1274640374502773, 0.07031525778920805, 0.3301914537168411, -0.22410564810172262, -0.28163054614630806, 0.09320322586734027, -0.2321435709775661, -0.13689078168988408, 0.1985552728355649, -0.07751998245850744, 0.039940532072480904, 0.04081003289526512, 0.05684080395668027, -0.08705175435871829, -0.25252124057880726, 0.3472022824438222, 0.07338832661015801, 0.31605535101549453, 0.05508215110524591, 0.1284827267279826, 0.028358045583927488, -0.0066447249804455115, 0.020453535766531545, -0.16966980886801653, 0.1143290013613471, 0.1965038926096588, 0.12190595491374114, 0.27329448577442983, -0.3373795122312135, -0.18484187923815013, 0.1714391971949533, 0.19930500074861998, 0.09376463556454617, -0.025704173647506857, -0.18847994414348918, 0.10168465737993997, -0.16553491726237157, -0.16444595538483686, -0.06383380360048578, 0.015862015042319356, 0.036234774076974535, -0.3259148434848042, 0.07560555007398488, 0.13988570123910904, -0.00022657921380666364, -0.04928587569928088, -0.12524896695177598, 0.04915261289935155, 0.09445552362012677, 0.07676030252779643, 0.033046852404543435, 0.09012406877612314, -0.1335452290964369, -0.10143488711756037, 0.34259992117533483, -0.05796587390138583, -0.2761617976364242, 0.17744073482701578, -0.1502109415161547, -0.11005765055194049, 0.08786270178080234, 0.14394882029618125, 0.14234527082642517, -0.11317900840718305, 0.07601322114175882, -0.03704814249313021, 0.18310770439545074, 0.047617419106683816, 0.035155589350061606, 0.10115505183811288, 0.14644290063339455, 0.1385958326464317, 0.15340383007494082, -0.09339845657112997, -0.12010424810809543, -0.3185234207601051, -0.18262786726770272, -0.18131933103775583, 0.07128063612074047, -0.15800309511664581, -0.1856977997729218, 0.3569952325351222, 0.1530806784860296, 0.21428463617003107, 0.13885807147437526, 0.26798752751986843, 0.1874746906119455, 0.0790430891372443, 0.12596119197467007, 0.19691342409666493, 0.05489515734511057, 0.07419971949476974, -0.22144733594817456, 0.11514246087880378, 0.09744712903377521] |
710.3685 | Indirect search for Dark Matter with the ANTARES neutrino telescope | Relic neutralinos produced after the Big Bang are favoured candidates for
Dark Matter. They can accumulate at the centre of massive celestial objects
like our Sun. Their annihilation can result in a high-energy neutrino flux that
could be detectable as a localised emission with earth-based neutrino
telescopes like ANTARES. In this paper a brief overview of the prospects of the
indirect search for Dark Matter particles with the ANTARES detector will be
given. The analysis method and expected performance for the detection of the
expected neutrinos will be discussed.
| astro-ph | relic neutralinos produced after the big bang are favoured candidates for dark matter they can accumulate at the centre of massive celestial objects like our sun their annihilation can result in a highenergy neutrino flux that could be detectable as a localised emission with earthbased neutrino telescopes like antares in this paper a brief overview of the prospects of the indirect search for dark matter particles with the antares detector will be given the analysis method and expected performance for the detection of the expected neutrinos will be discussed | [['relic', 'neutralinos', 'produced', 'after', 'the', 'big', 'bang', 'are', 'favoured', 'candidates', 'for', 'dark', 'matter', 'they', 'can', 'accumulate', 'at', 'the', 'centre', 'of', 'massive', 'celestial', 'objects', 'like', 'our', 'sun', 'their', 'annihilation', 'can', 'result', 'in', 'a', 'highenergy', 'neutrino', 'flux', 'that', 'could', 'be', 'detectable', 'as', 'a', 'localised', 'emission', 'with', 'earthbased', 'neutrino', 'telescopes', 'like', 'antares', 'in', 'this', 'paper', 'a', 'brief', 'overview', 'of', 'the', 'prospects', 'of', 'the', 'indirect', 'search', 'for', 'dark', 'matter', 'particles', 'with', 'the', 'antares', 'detector', 'will', 'be', 'given', 'the', 'analysis', 'method', 'and', 'expected', 'performance', 'for', 'the', 'detection', 'of', 'the', 'expected', 'neutrinos', 'will', 'be', 'discussed']] | [-0.08570263334654607, 0.2505934904591086, -0.08652324941525304, 0.1875607500786715, -0.10210796122261312, -0.08205649521452991, -0.029510147941528998, 0.33855169200537244, -0.18834285476517057, -0.3939553028746937, 0.10058032636258625, -0.321896720635757, -0.025829472819740854, 0.22248852897560997, 0.014123114772936266, -0.013294599144562576, 0.1470046747525568, 0.03616575549325247, -0.05077271214084637, -0.25667761862173344, 0.23660383691090378, 0.18190185235436546, 0.15064480719732098, 0.05192829131703364, 0.013451086352003759, -0.06466727856588497, -0.10994057706818822, -0.05495174794217174, -0.05496064879386385, 0.06566845985610834, 0.2692988718116886, 0.183492876756727, 0.11127962134883143, -0.43044226658478213, -0.20630316099340326, 0.22490451017687663, 0.20733317516723207, 0.06690275228550929, -0.14855968943807515, -0.4145151960422819, 0.06552650491717492, -0.22048007107203763, -0.16760040387469397, 0.041590920618076004, -0.03579688774359025, -0.0018966817454005894, -0.2073590004348374, 0.04481959801292821, -0.053358592059635924, -0.07814907136090686, -0.05443869948680146, -0.1570941092331339, 0.006224546547497759, 0.014681806400669425, 0.08752860426065627, -0.023214145924561145, 0.21317900068995155, -0.19040346391279292, -0.10928285471425297, 0.43756755332598524, -0.11534089307311211, -0.04748133491996801, 0.17655761096347908, -0.15134444292844013, -0.1711154404682306, 0.1760119174847777, 0.1782234345518283, 0.0768440103058944, -0.1665314511720384, 0.06900337091947938, -0.029546584185798853, 0.11279214414234241, 0.06570434427474824, 0.07651235337442394, 0.443564085292452, 0.24682639168282405, 0.10846394021587258, 0.0054989527725206495, -0.2151203942746761, 0.012350379018468803, -0.3763325415195876, -0.15592963298981527, -0.11983095456877452, 0.05135334552830776, -0.034456926722209014, -0.09993302329244573, 0.35300431522969783, 0.13819427413112495, 0.14136380622990094, -0.01682562817913595, 0.31984112212915766, 0.04634409495681692, 0.03595834839670511, 0.038381192197479055, 0.3721066356709834, 0.07919343727316415, 0.14780188044219206, -0.16616149849697864, -0.0006207496116168044, 0.0036007037590352004] |
710.3686 | Some Results on Inverse Scattering | A review of some of the author's results in the area of inverse scattering is
given. The following topics are discussed: 1) Property $C$ and applications, 2)
Stable inversion of fixed-energy 3D scattering data and its error estimate, 3)
Inverse scattering with ''incomplete`` data, 4) Inverse scattering for
inhomogeneous Schr\"odinger equation, 5) Krein's inverse scattering method, 6)
Invertibility of the steps in Gel'fand-Levitan, Marchenko, and Krein inversion
methods, 7) The Newton-Sabatier and Cox-Thompson procedures are not inversion
methods, 8) Resonances: existence, location, perturbation theory, 9) Born
inversion as an ill-posed problem, 10) Inverse obstacle scattering with
fixed-frequency data, 11) Inverse scattering with data at a fixed energy and a
fixed incident direction, 12) Creating materials with a desired refraction
coefficient and wave-focusing properties.
| math-ph math.MP | a review of some of the authors results in the area of inverse scattering is given the following topics are discussed 1 property c and applications 2 stable inversion of fixedenergy 3d scattering data and its error estimate 3 inverse scattering with incomplete data 4 inverse scattering for inhomogeneous schrodinger equation 5 kreins inverse scattering method 6 invertibility of the steps in gelfandlevitan marchenko and krein inversion methods 7 the newtonsabatier and coxthompson procedures are not inversion methods 8 resonances existence location perturbation theory 9 born inversion as an illposed problem 10 inverse obstacle scattering with fixedfrequency data 11 inverse scattering with data at a fixed energy and a fixed incident direction 12 creating materials with a desired refraction coefficient and wavefocusing properties | [['a', 'review', 'of', 'some', 'of', 'the', 'authors', 'results', 'in', 'the', 'area', 'of', 'inverse', 'scattering', 'is', 'given', 'the', 'following', 'topics', 'are', 'discussed', '1', 'property', 'c', 'and', 'applications', '2', 'stable', 'inversion', 'of', 'fixedenergy', '3d', 'scattering', 'data', 'and', 'its', 'error', 'estimate', '3', 'inverse', 'scattering', 'with', 'incomplete', 'data', '4', 'inverse', 'scattering', 'for', 'inhomogeneous', 'schrodinger', 'equation', '5', 'kreins', 'inverse', 'scattering', 'method', '6', 'invertibility', 'of', 'the', 'steps', 'in', 'gelfandlevitan', 'marchenko', 'and', 'krein', 'inversion', 'methods', '7', 'the', 'newtonsabatier', 'and', 'coxthompson', 'procedures', 'are', 'not', 'inversion', 'methods', '8', 'resonances', 'existence', 'location', 'perturbation', 'theory', '9', 'born', 'inversion', 'as', 'an', 'illposed', 'problem', '10', 'inverse', 'obstacle', 'scattering', 'with', 'fixedfrequency', 'data', '11', 'inverse', 'scattering', 'with', 'data', 'at', 'a', 'fixed', 'energy', 'and', 'a', 'fixed', 'incident', 'direction', '12', 'creating', 'materials', 'with', 'a', 'desired', 'refraction', 'coefficient', 'and', 'wavefocusing', 'properties']] | [-0.07632486051192781, 0.10971883165024576, -0.032788240381318036, 0.11225400818225577, -0.0811269650022026, -0.15064374349828138, -0.0011084389111378275, 0.385024296783949, -0.3032536466957116, -0.3244157963447639, 0.18520934219838533, -0.3474376345068583, -0.12650104206900845, 0.14439505088471305, 0.02473796399875132, 0.13013341114045213, 0.04148047186384649, -0.024592105566417097, -0.11615074699988863, -0.1878897839576029, 0.3190682318145562, 0.016361995913149394, 0.2537615978603679, 0.055782964616690925, 0.06619189341445683, 0.0989915439189883, -0.05193069039416484, -0.06528913465588064, -0.10550826151099545, 0.12439402107618841, 0.27982806365509505, 0.061940096588767146, 0.20764214813816131, -0.37798056647670075, -0.18529655256873515, 0.04855145885299922, 0.14191493131678368, 0.11025664710428291, -0.10373142169293238, -0.2648385066164993, 0.03104213150370805, -0.07996090011839128, -0.19188242283512336, 0.00898750746607414, 0.09215561332768898, -0.012160219290278485, -0.30974999850341045, 0.10610435863376641, 0.0806177636879481, 0.10787450182480646, -0.12642778285405004, -0.16007154208195748, 0.043356141567871466, 0.03173744458262427, 0.026333759823188065, -0.018944788407381685, 0.10355822103036964, -0.11587289747873657, -0.1334433608781928, 0.3363887456810621, -0.017758645658327847, -0.17820805652433488, 0.11699864235477614, -0.12168279118438968, -0.06363342440168022, 0.22660563985214066, 0.12540582670318726, 0.11512344487041967, -0.13249259231970875, 0.13537324575008824, -0.01747395409668078, 0.15057302009863932, 0.11627627800783662, -0.05239083782815542, 0.08323721138409293, 0.13882019816130614, 0.054581976140711884, 0.05400075892665897, -0.14983640047416213, 0.002110916632609289, -0.3257111896241664, -0.10955260261190963, -0.19944541141787758, 0.08878758052169808, -0.11681196844843636, -0.1508410703762984, 0.3291985287147834, 0.12827903407885402, 0.18735293648969076, 0.01615188551730797, 0.2529189927182847, 0.1807546112295164, 0.025813139357032028, 0.07492741445445868, 0.1924605005257095, 0.21154490020889483, 0.14671239464116267, -0.21345322384102056, -0.0420988420764992, 0.0714860575456844] |
710.3687 | On invariant measures of stochastic recursions in a critical case | We consider an autoregressive model on $\mathbb{R}$ defined by the recurrence
equation $X_n=A_nX_{n-1}+B_n$, where $\{(B_n,A_n)\}$ are i.i.d. random
variables valued in $\mathbb{R}\times\mathbb{R}^+$ and $\mathbb {E}[\log
A_1]=0$ (critical case). It was proved by Babillot, Bougerol and Elie that
there exists a unique invariant Radon measure of the process $\{X_n\}$. The aim
of the paper is to investigate its behavior at infinity. We describe also
stationary measures of two other stochastic recursions, including one arising
in queuing theory.
| math.PR | we consider an autoregressive model on mathbbr defined by the recurrence equation x_na_nx_n1b_n where b_na_n are iid random variables valued in mathbbrtimesmathbbr and mathbb elog a_10 critical case it was proved by babillot bougerol and elie that there exists a unique invariant radon measure of the process x_n the aim of the paper is to investigate its behavior at infinity we describe also stationary measures of two other stochastic recursions including one arising in queuing theory | [['we', 'consider', 'an', 'autoregressive', 'model', 'on', 'mathbbr', 'defined', 'by', 'the', 'recurrence', 'equation', 'x_na_nx_n1b_n', 'where', 'b_na_n', 'are', 'iid', 'random', 'variables', 'valued', 'in', 'mathbbrtimesmathbbr', 'and', 'mathbb', 'elog', 'a_10', 'critical', 'case', 'it', 'was', 'proved', 'by', 'babillot', 'bougerol', 'and', 'elie', 'that', 'there', 'exists', 'a', 'unique', 'invariant', 'radon', 'measure', 'of', 'the', 'process', 'x_n', 'the', 'aim', 'of', 'the', 'paper', 'is', 'to', 'investigate', 'its', 'behavior', 'at', 'infinity', 'we', 'describe', 'also', 'stationary', 'measures', 'of', 'two', 'other', 'stochastic', 'recursions', 'including', 'one', 'arising', 'in', 'queuing', 'theory']] | [-0.14797140761731645, 0.12416448770897193, -0.08061232370626484, 0.07498256590251667, -0.009463678082652591, -0.18902617782304013, -0.0017981769680674817, 0.34764618950115667, -0.3072656851664588, -0.13986602352579702, 0.1225305849432983, -0.3318805105329768, -0.1830388645065722, 0.1480790708383948, -0.10531367623322718, 0.08621708788150745, -0.041033456057964546, 0.09647077386821243, -0.01450668489623412, -0.24423196740335207, 0.3461354338199001, -0.05607231395520471, 0.2361696015357518, -0.02611029755349296, 0.14766214904454034, 0.020293569079021346, -0.05818377441736064, -0.032103229572090344, -0.18441851536880602, 0.02269105994570497, 0.22338276063532544, 0.12862046180620185, 0.28991554098290695, -0.3723328805377556, -0.17474671969869854, 0.19371118161172882, 0.13834644405358484, -0.03295678183486735, -0.0001229683041094324, -0.30825809045455643, 0.08457074217762597, -0.11991816210856258, -0.15689589021368758, -0.048776518496860925, 0.06320814043283463, 0.060284259348377785, -0.31323893300282796, 0.040397834139356915, 0.0978663993772824, 0.0756730870721308, -0.03601509993549789, -0.11118565291493528, -0.0009795798907509528, 0.05452857052630468, 0.08192026259879444, 0.07952185365295894, 0.06785669735305615, -0.03519099381928508, -0.14503023268755627, 0.3401131118849121, -0.09738189854180894, -0.2642820822578427, 0.13997583833170701, -0.16888738262492256, -0.1886764909518329, 0.07636769279535557, 0.16058027958245696, 0.11541660833550063, -0.18011963789074406, 0.18022220029111802, -0.07783502418346502, 0.06491229440261786, 0.0800622080144397, -0.026916380436788942, 0.1110922303554174, 0.11030734847677318, 0.07951529574504979, 0.1551829794605854, -0.02722238890537237, -0.13458872897663732, -0.30911731309685353, -0.14575535204966325, -0.1724875374174853, 0.13678242839444932, -0.1152664749325423, -0.1738625154704661, 0.3154807584360242, 0.13959374397794866, 0.17857803520117257, 0.11323126365204116, 0.1881234970846767, 0.18354898098403136, -0.06704025108184716, 0.060689540642842245, 0.08938543178845902, 0.18274976728433692, 0.08738460230036967, -0.1476708114449237, 0.06820100151329629, 0.12297722341090038] |
710.3688 | Partition Function for Two-Dimensional Nearest Neighbour Ising Model in
a Non-Zero Magnetic Field for a Square Lattice of 16 Sites | An explicit expression for the partition function of two-dimensional nearest
neighbour Ising models in the presence of a magnetic field is derived by a
systematic enumeration of all the spin configurations pertaining to a square
lattice of sixteen sites. The critical temperature is shown to be in excellent
agreement with the reported values while the corresponding dimensionless
magnetic field is obtained as 0.004.
| cond-mat.stat-mech | an explicit expression for the partition function of twodimensional nearest neighbour ising models in the presence of a magnetic field is derived by a systematic enumeration of all the spin configurations pertaining to a square lattice of sixteen sites the critical temperature is shown to be in excellent agreement with the reported values while the corresponding dimensionless magnetic field is obtained as 0004 | [['an', 'explicit', 'expression', 'for', 'the', 'partition', 'function', 'of', 'twodimensional', 'nearest', 'neighbour', 'ising', 'models', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field', 'is', 'derived', 'by', 'a', 'systematic', 'enumeration', 'of', 'all', 'the', 'spin', 'configurations', 'pertaining', 'to', 'a', 'square', 'lattice', 'of', 'sixteen', 'sites', 'the', 'critical', 'temperature', 'is', 'shown', 'to', 'be', 'in', 'excellent', 'agreement', 'with', 'the', 'reported', 'values', 'while', 'the', 'corresponding', 'dimensionless', 'magnetic', 'field', 'is', 'obtained', 'as', '0004']] | [-0.16935311464614988, 0.12379394031507665, 0.026658972507224432, 0.053065599413544294, -0.004688110897347095, -0.0993394694172792, 0.038846407937521615, 0.3495654242615851, -0.18648134788409584, -0.3293143350276209, 0.08539694188059205, -0.2902818536016321, -0.1027603146161825, 0.20686111687904313, 0.06794107674310605, 0.0251893102293483, -0.011904683633012668, 0.0958311129657049, -0.10896644371724318, -0.22984131730516397, 0.2441156998513237, 0.06796264422998305, 0.2812184238185485, 0.03269560309866118, 0.08114010959656702, 0.017064932600728104, 0.045200087928346226, 0.07880741233627002, -0.1810064839997462, 0.07092768015383395, 0.17985578875006814, -0.026420542381755594, 0.18607382369892939, -0.36513835642605075, -0.17375136944391426, 0.08303036302002886, 0.1577196496553601, 0.14917761054525655, -0.03512665280510509, -0.2404767841928535, 0.05154095557592218, -0.1405633625884851, -0.16316084292465968, -0.05437928708898465, 0.05058944767104492, 0.05291211091273922, -0.3388200339875997, 0.09418463381376886, -0.0007396389153741655, 0.11154188195036517, -0.11375741111410279, -0.16949203237891197, -0.04893347756966712, 0.13870369489969953, 0.06579381695002436, 0.1576669832787639, 0.08324529443468366, -0.16482949817907952, -0.1375006799186979, 0.3800483328837251, -0.047914056210882135, -0.1835367281640333, 0.1376172458376026, -0.1679915439795762, -0.0870290173528095, 0.15700516530445643, 0.0720036451423925, 0.07341299480241206, -0.18743780344015076, 0.10435834813803907, -0.05068196413210697, 0.16051743636351257, -0.003285456182701247, -0.006909527913006651, 0.28122169619041776, 0.13383658987189095, 0.03729324947510447, 0.192709915175487, -0.11421331241431218, -0.13746489746318685, -0.26079362128225586, -0.12579850434872603, -0.24366098994367003, 0.06761722197194421, -0.16417328682949855, -0.1942945002695538, 0.40377093727389973, 0.15256482320615933, 0.22268833935497298, 0.03934825483768705, 0.21471063510352184, 0.1282036179835568, 0.08562477377228557, 0.022982125274009176, 0.2358046541552222, 0.20558889392792942, 0.041746149626782254, -0.23017130478004377, 0.02293924768529241, 0.10008668804925586] |
710.3689 | Quasi-stationary regime of a branching random walk in presence of an
absorbing wall | A branching random walk in presence of an absorbing wall moving at a constant
velocity $v$ undergoes a phase transition as the velocity $v$ of the wall
varies. Below the critical velocity $v_c$, the population has a non-zero
survival probability and when the population survives its size grows
exponentially. We investigate the histories of the population conditioned on
having a single survivor at some final time $T$. We study the quasi-stationary
regime for $v<v_c$ when $T$ is large. To do so, one can construct a modified
stochastic process which is equivalent to the original process conditioned on
having a single survivor at final time $T$. We then use this construction to
show that the properties of the quasi-stationary regime are universal when
$v\to v_c$. We also solve exactly a simple version of the problem, the
exponential model, for which the study of the quasi-stationary regime can be
reduced to the analysis of a single one-dimensional map.
| cond-mat.stat-mech q-bio.PE | a branching random walk in presence of an absorbing wall moving at a constant velocity v undergoes a phase transition as the velocity v of the wall varies below the critical velocity v_c the population has a nonzero survival probability and when the population survives its size grows exponentially we investigate the histories of the population conditioned on having a single survivor at some final time t we study the quasistationary regime for vv_c when t is large to do so one can construct a modified stochastic process which is equivalent to the original process conditioned on having a single survivor at final time t we then use this construction to show that the properties of the quasistationary regime are universal when vto v_c we also solve exactly a simple version of the problem the exponential model for which the study of the quasistationary regime can be reduced to the analysis of a single onedimensional map | [['a', 'branching', 'random', 'walk', 'in', 'presence', 'of', 'an', 'absorbing', 'wall', 'moving', 'at', 'a', 'constant', 'velocity', 'v', 'undergoes', 'a', 'phase', 'transition', 'as', 'the', 'velocity', 'v', 'of', 'the', 'wall', 'varies', 'below', 'the', 'critical', 'velocity', 'v_c', 'the', 'population', 'has', 'a', 'nonzero', 'survival', 'probability', 'and', 'when', 'the', 'population', 'survives', 'its', 'size', 'grows', 'exponentially', 'we', 'investigate', 'the', 'histories', 'of', 'the', 'population', 'conditioned', 'on', 'having', 'a', 'single', 'survivor', 'at', 'some', 'final', 'time', 't', 'we', 'study', 'the', 'quasistationary', 'regime', 'for', 'vv_c', 'when', 't', 'is', 'large', 'to', 'do', 'so', 'one', 'can', 'construct', 'a', 'modified', 'stochastic', 'process', 'which', 'is', 'equivalent', 'to', 'the', 'original', 'process', 'conditioned', 'on', 'having', 'a', 'single', 'survivor', 'at', 'final', 'time', 't', 'we', 'then', 'use', 'this', 'construction', 'to', 'show', 'that', 'the', 'properties', 'of', 'the', 'quasistationary', 'regime', 'are', 'universal', 'when', 'vto', 'v_c', 'we', 'also', 'solve', 'exactly', 'a', 'simple', 'version', 'of', 'the', 'problem', 'the', 'exponential', 'model', 'for', 'which', 'the', 'study', 'of', 'the', 'quasistationary', 'regime', 'can', 'be', 'reduced', 'to', 'the', 'analysis', 'of', 'a', 'single', 'onedimensional', 'map']] | [-0.10969388929609125, 0.19301911076101347, -0.09646803046015497, 0.03103234584735522, -0.024869216628408488, -0.14949199927445406, 0.09744409133754044, 0.3465712424964668, -0.30330305431897825, -0.2186934093091016, 0.09417155773740095, -0.26616116812548196, -0.07224909153181869, 0.13960059928836133, -0.016749920866762597, 0.023650534011838503, 0.05675788441649041, 0.11067917416445337, -0.0658633175219457, -0.21519878725760067, 0.2939314501798855, 0.013628139405344158, 0.24836021304900685, 0.0008093272813428671, 0.12650035770060733, -0.019208069409638158, 0.04582741170321615, 0.045294320524240345, -0.16092902070340642, -0.006988931579354147, 0.14023733070382896, 0.07672639657408954, 0.3160800938643754, -0.3581835270907061, -0.19173880529016082, 0.1512294109024179, 0.18326573502791013, 0.15733623832243326, 0.0022244398043347667, -0.26407716611477855, 0.09654449929560845, -0.1358035682605054, -0.19569713812775147, 0.016698430877369948, 0.07586522015313116, 0.007770032798035596, -0.28868897407590294, 0.10858898796868743, 0.06303932906415027, -0.014530705513420682, -0.01847427627683665, -0.06238818147148077, -0.06036823092159839, 0.12115248142967736, 0.024259063606642976, 0.060841223589168526, 0.15523038994079122, -0.14091527635285345, -0.07176937038849036, 0.3429419521946842, -0.11673682765402378, -0.15638159638127455, 0.1819577390754906, -0.1950022299738171, -0.12214986349527653, 0.14963662458112828, 0.1889259790365871, 0.1343010989501356, -0.12039602734437675, 0.10227905576175544, -0.06916986055409488, 0.15350677383424063, 0.03969098772787943, -0.013891842111777991, 0.19536867055098694, 0.1841670056317712, 0.07956239671404593, 0.15833271241027455, -0.12814966131610653, -0.11045352259847838, -0.318528166351219, -0.1481628060784528, -0.17967125327917388, 0.09384212291050249, -0.09202070499892355, -0.2009730694236425, 0.3784724077424751, 0.12543107106839904, 0.2777054232592957, 0.11108808403160089, 0.26013669796968597, 0.19340528815145938, 0.005145217744239534, 0.08846597367156415, 0.16257263759829443, 0.11272110947622703, 0.07779228889520685, -0.23729907925754118, 0.10244613227685197, 0.045243136781769305] |
710.369 | Wesson's IMT with a Weylian bulk | The foundations of Wesson's induced matter theory are analyzed. It is shown
that the 5D empty bulk must be regarded rather as a Weylian space than as a
Riemannian one.The framework of a Weyl-Dirac version of Wesson's theory is
elaborated and discussed. The bulk possesses in addition to the metric tensor a
Weylian connection vector as well Dirac's gauge function; there are no sources
(mass, current) in the bulk. On the 4D brane one obtains a geometrically based
unified theory of gravitation and electromagnetism with mass, currents and
equations induced by the 5D bulk
| gr-qc | the foundations of wessons induced matter theory are analyzed it is shown that the 5d empty bulk must be regarded rather as a weylian space than as a riemannian onethe framework of a weyldirac version of wessons theory is elaborated and discussed the bulk possesses in addition to the metric tensor a weylian connection vector as well diracs gauge function there are no sources mass current in the bulk on the 4d brane one obtains a geometrically based unified theory of gravitation and electromagnetism with mass currents and equations induced by the 5d bulk | [['the', 'foundations', 'of', 'wessons', 'induced', 'matter', 'theory', 'are', 'analyzed', 'it', 'is', 'shown', 'that', 'the', '5d', 'empty', 'bulk', 'must', 'be', 'regarded', 'rather', 'as', 'a', 'weylian', 'space', 'than', 'as', 'a', 'riemannian', 'onethe', 'framework', 'of', 'a', 'weyldirac', 'version', 'of', 'wessons', 'theory', 'is', 'elaborated', 'and', 'discussed', 'the', 'bulk', 'possesses', 'in', 'addition', 'to', 'the', 'metric', 'tensor', 'a', 'weylian', 'connection', 'vector', 'as', 'well', 'diracs', 'gauge', 'function', 'there', 'are', 'no', 'sources', 'mass', 'current', 'in', 'the', 'bulk', 'on', 'the', '4d', 'brane', 'one', 'obtains', 'a', 'geometrically', 'based', 'unified', 'theory', 'of', 'gravitation', 'and', 'electromagnetism', 'with', 'mass', 'currents', 'and', 'equations', 'induced', 'by', 'the', '5d', 'bulk']] | [-0.12369725080776682, 0.17798961536275185, -0.08119149906362624, 0.11279437302839646, -0.09966226623417127, -0.12387410750949478, -0.04711596564355088, 0.3007773171733827, -0.19974991820871513, -0.27591009502437835, 0.04656743766378334, -0.27503879520883584, -0.1794099220906959, 0.12840197949690071, -0.04648362956148513, -0.011136266066038862, -0.05004009918527717, 0.0912918519981681, -0.13813187317437234, -0.17814324748147517, 0.34499279314533193, 0.04671726715404223, 0.27669605715794765, 0.03735090788711417, 0.1245273513734301, -0.017614971004188695, 0.012313044080114428, 0.10840895057109709, -0.09195640365423775, 0.10923320350504698, 0.214019692086793, 0.06817045019681942, 0.19078523559654328, -0.43553484023172173, -0.2671076560175007, 0.04188929546991006, 0.08233681857645353, 0.09628791341736437, -0.07524018717478921, -0.3082212944059296, 0.05492540893759182, -0.1595410338920006, -0.1507990036786415, -0.07237514308554695, -0.012555074907760037, -0.12122298374851333, -0.21122969857892615, 0.09326996644797854, 0.03464639488424353, 0.004136388606213509, -0.09613793035671908, -0.09706463591948628, -0.11916862748454306, 0.016945908113600725, 0.11836560460134468, 0.11429719772051147, 0.13455261722048548, -0.11816641230116341, -0.12746972529752615, 0.44906325695758803, -0.11331963721254687, -0.26934077792820776, 0.1354655212143119, -0.09355884347299233, -0.08758319609184215, 0.056625607631545755, 0.07776622486082797, 0.17218006630130905, -0.14999842945922245, 0.20181488775229578, -0.054206601438172006, 0.10740486018240769, 0.050461438781720526, 0.0637106114832506, 0.2701890289565509, 0.14260024182062517, 0.043165899535759965, 0.08556971124725099, 0.006091201858733721, -0.13754343103736322, -0.3712442332204986, -0.19416387791329243, -0.1802925864764628, 0.1112835919583573, -0.0952521561234112, -0.20392338481287106, 0.3411258371259542, 0.04478986196571644, 0.14700555381367597, -0.003400176993036826, 0.24088595944278418, 0.113553038769788, 0.07367053328755688, 0.06832578371060972, 0.30704644439306034, 0.2111184059275671, 0.08422516935822019, -0.160946504589408, -0.046121265768925564, 0.1593790929541586] |
710.3691 | A MST algorithm for source detection in gamma-ray images | We developed a source detection algorithm based on the Minimal Spanning Tree
(MST), that is a graph-theoretical method useful for finding clusters in a
given set of points. This algorithm is applied to gamma-ray bidimensional
images where the points correspond to the arrival direction of photons, and the
possible sources are associated with the regions where they clusterize. Some
filters to select these clusters and to reduce the spurious detections are
introduced. An empirical study of the statistical properties of MST on random
fields is carried in order to derive some criteria to estimate the best filter
values. We introduce also two parameters useful to verify the goodness of
candidate sources. To show how the MST algorithm works in the practice, we
present an application to an EGRET observation of the Virgo field, at high
galactic latitude and with a low and rather uniform background, in which
several sources are detected.
| astro-ph | we developed a source detection algorithm based on the minimal spanning tree mst that is a graphtheoretical method useful for finding clusters in a given set of points this algorithm is applied to gammaray bidimensional images where the points correspond to the arrival direction of photons and the possible sources are associated with the regions where they clusterize some filters to select these clusters and to reduce the spurious detections are introduced an empirical study of the statistical properties of mst on random fields is carried in order to derive some criteria to estimate the best filter values we introduce also two parameters useful to verify the goodness of candidate sources to show how the mst algorithm works in the practice we present an application to an egret observation of the virgo field at high galactic latitude and with a low and rather uniform background in which several sources are detected | [['we', 'developed', 'a', 'source', 'detection', 'algorithm', 'based', 'on', 'the', 'minimal', 'spanning', 'tree', 'mst', 'that', 'is', 'a', 'graphtheoretical', 'method', 'useful', 'for', 'finding', 'clusters', 'in', 'a', 'given', 'set', 'of', 'points', 'this', 'algorithm', 'is', 'applied', 'to', 'gammaray', 'bidimensional', 'images', 'where', 'the', 'points', 'correspond', 'to', 'the', 'arrival', 'direction', 'of', 'photons', 'and', 'the', 'possible', 'sources', 'are', 'associated', 'with', 'the', 'regions', 'where', 'they', 'clusterize', 'some', 'filters', 'to', 'select', 'these', 'clusters', 'and', 'to', 'reduce', 'the', 'spurious', 'detections', 'are', 'introduced', 'an', 'empirical', 'study', 'of', 'the', 'statistical', 'properties', 'of', 'mst', 'on', 'random', 'fields', 'is', 'carried', 'in', 'order', 'to', 'derive', 'some', 'criteria', 'to', 'estimate', 'the', 'best', 'filter', 'values', 'we', 'introduce', 'also', 'two', 'parameters', 'useful', 'to', 'verify', 'the', 'goodness', 'of', 'candidate', 'sources', 'to', 'show', 'how', 'the', 'mst', 'algorithm', 'works', 'in', 'the', 'practice', 'we', 'present', 'an', 'application', 'to', 'an', 'egret', 'observation', 'of', 'the', 'virgo', 'field', 'at', 'high', 'galactic', 'latitude', 'and', 'with', 'a', 'low', 'and', 'rather', 'uniform', 'background', 'in', 'which', 'several', 'sources', 'are', 'detected']] | [-0.08756728144054184, 0.06774868309721027, -0.07660704227596127, 0.08783518092935004, -0.10842582033422855, -0.06636194641461336, 0.08704761134318711, 0.42579553433268374, -0.22059012085217858, -0.35594041238612933, 0.09275753166686916, -0.2863657059123283, -0.12051324151180351, 0.2129966499891428, -0.049463223175620595, 0.035869286716426106, 0.039936079557318954, 0.020992468385679634, -0.013416611604525133, -0.27840534458707844, 0.2637254776678276, 0.10153469664124859, 0.2505684034800194, -0.022629530582305612, 0.10983532852499395, -0.023862378362609408, -0.07396372964001255, 0.021981266814450555, -0.1226851098528629, 0.10768015206011247, 0.25627461891769376, 0.15056848932375255, 0.223352114170395, -0.3735458254197378, -0.18739401259219016, 0.1463707227719368, 0.1236928098631517, 0.08700662254531627, -0.03976785035230318, -0.2843829468509417, 0.10896123657989877, -0.10231583150695787, -0.14231133392382883, -0.03605010038988036, -0.00850620096401367, 0.04219393321275958, -0.2663823778506689, 0.03129242085647424, 0.0029544452257725773, 0.022911584269970853, -0.058649777237014436, -0.12027565259733144, 0.030259314253741246, 0.11484157398885844, 0.038735736884633144, 0.04931796525777719, 0.0977974022115698, -0.11993961723768831, -0.13773784844439155, 0.3667366481416964, -0.035762658799128814, -0.16399517506576877, 0.20614180302043872, -0.11594696167165673, -0.19226377593686447, 0.1256079553867018, 0.1917004691350539, 0.11801519463862607, -0.18056877726682813, 0.02104549187668044, -0.02289183856611023, 0.16058533063886182, 0.053703438512216144, 0.03806566510701071, 0.19049479646626735, 0.11933514780506788, 0.11442631484619928, 0.17387801051079696, -0.19087386507863205, -0.03692753163639715, -0.2947669835631668, -0.10561254192398097, -0.1884360673239097, -0.014533758298756048, -0.11787364476426683, -0.18701951370600747, 0.4045960698461789, 0.210372778531534, 0.21550147608924805, 0.038909264814936624, 0.28191394396033753, 0.10739513851684096, 0.047160273284237136, 0.11657309627610672, 0.23962083920128704, 0.11931176320958069, 0.04313885597882188, -0.15603467042053687, 0.044672191849237444, 0.03717319587159236] |
710.3692 | Universality class of the pair contact process with diffusion | The pair contact process with diffusion (PCPD) is studied with a standard
Monte Carlo approach and with simulations at fixed densities. A standard
analysis of the simulation results, based on the particle densities or on the
pair densities, yields inconsistent estimates for the critical exponents.
However, if a well-chosen linear combination of the particle and pair densities
is used, leading corrections can be suppressed, and consistent estimates for
the independent critical exponents delta=0.16(2), beta=0.28(2) and z=1.58 are
obtained. Since these estimates are also consistent with their values in
directed percolation (DP), we conclude that PCPD falls in the same universality
class as DP.
| cond-mat.stat-mech | the pair contact process with diffusion pcpd is studied with a standard monte carlo approach and with simulations at fixed densities a standard analysis of the simulation results based on the particle densities or on the pair densities yields inconsistent estimates for the critical exponents however if a wellchosen linear combination of the particle and pair densities is used leading corrections can be suppressed and consistent estimates for the independent critical exponents delta0162 beta0282 and z158 are obtained since these estimates are also consistent with their values in directed percolation dp we conclude that pcpd falls in the same universality class as dp | [['the', 'pair', 'contact', 'process', 'with', 'diffusion', 'pcpd', 'is', 'studied', 'with', 'a', 'standard', 'monte', 'carlo', 'approach', 'and', 'with', 'simulations', 'at', 'fixed', 'densities', 'a', 'standard', 'analysis', 'of', 'the', 'simulation', 'results', 'based', 'on', 'the', 'particle', 'densities', 'or', 'on', 'the', 'pair', 'densities', 'yields', 'inconsistent', 'estimates', 'for', 'the', 'critical', 'exponents', 'however', 'if', 'a', 'wellchosen', 'linear', 'combination', 'of', 'the', 'particle', 'and', 'pair', 'densities', 'is', 'used', 'leading', 'corrections', 'can', 'be', 'suppressed', 'and', 'consistent', 'estimates', 'for', 'the', 'independent', 'critical', 'exponents', 'delta0162', 'beta0282', 'and', 'z158', 'are', 'obtained', 'since', 'these', 'estimates', 'are', 'also', 'consistent', 'with', 'their', 'values', 'in', 'directed', 'percolation', 'dp', 'we', 'conclude', 'that', 'pcpd', 'falls', 'in', 'the', 'same', 'universality', 'class', 'as', 'dp']] | [-0.05051926807050897, 0.171299849493927, -0.07750904349504167, 0.0895263101003978, 0.008888980899338084, -0.1657817805748396, 0.05117275013523822, 0.35607406557168775, -0.21830036963271623, -0.27085114183771136, 0.0805765445261161, -0.32897587798277633, -0.07002356929801368, 0.21464430608113508, 0.04253773427208756, 0.08588971013545017, 0.07246103777670033, 0.026357918929327095, -0.11341096049331424, -0.17635604956805115, 0.315288140982537, 0.053744025431610276, 0.2667536839732144, 0.04878982740666459, 0.07434310907000068, 0.017608464464987858, -0.04333312700889857, 0.0822588503729589, -0.1984369660118084, 0.08793611877994371, 0.18469285814663267, 0.017444684859961708, 0.18798893420855597, -0.35569463367804444, -0.2177532402577229, 0.09907557500876707, 0.14797459433943327, 0.09429835423303878, -0.047067999404089726, -0.26181648198588947, 0.11505887777277149, -0.13392741818644918, -0.141958974283373, -0.016632833684066144, -0.0035683532144026, 0.08878999645475961, -0.3358057415168179, 0.1300473888747574, 0.019425739123864045, 0.020067169275688062, -0.028941641718444256, -0.16103455494849547, -0.04102125814608713, 0.09277626982138557, 0.04957663213763856, 0.04364869848013588, 0.1461613012828154, -0.13118309647047727, -0.14921861785546978, 0.35215179559470405, -0.06575197536535192, -0.2072454476452405, 0.2383301536216041, -0.1498381577035652, -0.14818953067331694, 0.16516837021013223, 0.12672105510857437, 0.11684463170327081, -0.1298859426843943, 0.07569204440275852, -9.67121185126281e-05, 0.11873985708018045, -0.012871396312914273, -0.032322702643526074, 0.20240698679175118, 0.14846364386139974, 0.05464803890352792, 0.08199261724695305, -0.0940268576896685, -0.1773528822670036, -0.3354013495811141, -0.10850525671203556, -0.19638602788753734, 0.039659590182576955, -0.14539673823879404, -0.1573625230737547, 0.30624295404125557, 0.15500668456114017, 0.23279763482474158, 0.12463382371507659, 0.2211636141320635, 0.19923958074333756, 0.06253525344793233, 0.08007967029813456, 0.22664890303691426, 0.12306117734844142, 0.05676210561472148, -0.175634869194525, 0.11690968894952963, 0.09533395843193082] |
710.3693 | Exponential mixing for finite-dimensional approximations of the
Schr\"odinger equation with multiplicative noise | We study the ergodicity of finite-dimensional approximations of the
Schr\"odinger equation. The system is driven by a multiplicative scalar noise.
Under general assumptions over the distribution of the noise, we show that the
system has a unique stationary measure $\mu$ on the unit sphere $S$ in $\C^n$,
and $\mu$ is absolutely continuous with respect to the Riemannian volume on
$S$. Moreover, for any initial condition in $S$, the solution converges
exponentially fast to the measure $\mu$ in the variational norm.
| math-ph math.MP | we study the ergodicity of finitedimensional approximations of the schrodinger equation the system is driven by a multiplicative scalar noise under general assumptions over the distribution of the noise we show that the system has a unique stationary measure mu on the unit sphere s in cn and mu is absolutely continuous with respect to the riemannian volume on s moreover for any initial condition in s the solution converges exponentially fast to the measure mu in the variational norm | [['we', 'study', 'the', 'ergodicity', 'of', 'finitedimensional', 'approximations', 'of', 'the', 'schrodinger', 'equation', 'the', 'system', 'is', 'driven', 'by', 'a', 'multiplicative', 'scalar', 'noise', 'under', 'general', 'assumptions', 'over', 'the', 'distribution', 'of', 'the', 'noise', 'we', 'show', 'that', 'the', 'system', 'has', 'a', 'unique', 'stationary', 'measure', 'mu', 'on', 'the', 'unit', 'sphere', 's', 'in', 'cn', 'and', 'mu', 'is', 'absolutely', 'continuous', 'with', 'respect', 'to', 'the', 'riemannian', 'volume', 'on', 's', 'moreover', 'for', 'any', 'initial', 'condition', 'in', 's', 'the', 'solution', 'converges', 'exponentially', 'fast', 'to', 'the', 'measure', 'mu', 'in', 'the', 'variational', 'norm']] | [-0.1456056536990218, 0.09472295221639797, -0.09634356884962472, 0.04120880222471897, 0.006686706058098934, -0.1308407409931533, 0.04070146989542991, 0.3622379053151235, -0.29536095780786126, -0.1689396102425235, 0.11925751157177729, -0.2885737754404545, -0.09840997031424195, 0.15500803326722234, -0.08630441185669042, 0.09430546392686665, 0.07101688333787023, 0.10641508022672497, -0.09005929714476224, -0.2076363742351532, 0.36771709140157327, -0.002448395433020778, 0.23877612428041176, 0.006856716164475074, 0.1401859905337915, -0.04519318712991662, 0.0009172403500997461, -0.019601202220655978, -0.169943111381599, 0.06955520958872512, 0.11853592894331086, 0.10019699187250808, 0.30101283197291195, -0.3408932872349396, -0.20245445129694417, 0.20125676342358928, 0.06317153165582567, 0.005073295492911712, -0.0008548905520001426, -0.30898132037837056, 0.13025972710456699, -0.08967817383818329, -0.17908230982138776, -0.0879691868176451, 0.0836013360414654, 0.0587516046653036, -0.34971586549654604, 0.07988929142884445, 0.11423943970585242, 0.006842472322750837, -0.11276832589064725, -0.07618244376062648, -0.010060265533684287, 0.04109384746989235, 0.04705575873958878, 0.08753798434336205, 0.11609844289487228, -0.058040065987734125, -0.04847319094260456, 0.3578264671843499, -0.17890213967184537, -0.32578787573147566, 0.16573327062651516, -0.20068961257929913, -0.10256178963463754, 0.14534279547515325, 0.15263094222464132, 0.11223081209463999, -0.14080731224967166, 0.22905523609297235, -0.04994432186940685, 0.1572109469329007, 0.05549527435796335, 0.026004732336878077, 0.10198325249366462, 0.14080418545927387, 0.2136148890363984, 0.12075083222516696, -0.06599476362462156, -0.11332406456349417, -0.34553350748028605, -0.18353881393850316, -0.23472691191127523, 0.15612754205067175, -0.11034540636446763, -0.17329762601293625, 0.363216845667921, 0.07714465745375491, 0.19004095189739018, 0.08237419212237, 0.2505573159782216, 0.18500613116193562, -0.02040347294823732, 0.07255456468556076, 0.13898262641741893, 0.17874803271261044, 0.07185917598399101, -0.23441841913445388, 0.03681061910756398, 0.06283584589837118] |
710.3694 | Measurement of the parity-violating triton emission asymmetry in the
reaction 6Li(n,alfa)3H with polarised cold neutrons | We describe measurements of the parity-violating (P-odd) triton emission
asymmetry coefficient in the 6Li(n,alfa)3H reaction with polarised cold
neutrons. Experiments were carried out at the Petersburg Nuclear Physics
Institute (Gatchina, Russia) and at the Institut Laue-Langevin (Grenoble,
France). We employed an ionisation chamber in a configuration allowing us to
suppress the left-right asymmetry well below 10^(-8). A test for a false
asymmetry due to eventual target impurities ("zero test") resulted in the value
(0.0+-0.5)x10^(-8). As final result we obtained P-odd effect
(-8.6+-2.0)x10^(-8).
| nucl-ex | we describe measurements of the parityviolating podd triton emission asymmetry coefficient in the 6linalfa3h reaction with polarised cold neutrons experiments were carried out at the petersburg nuclear physics institute gatchina russia and at the institut lauelangevin grenoble france we employed an ionisation chamber in a configuration allowing us to suppress the leftright asymmetry well below 108 a test for a false asymmetry due to eventual target impurities zero test resulted in the value 0005x108 as final result we obtained podd effect 8620x108 | [['we', 'describe', 'measurements', 'of', 'the', 'parityviolating', 'podd', 'triton', 'emission', 'asymmetry', 'coefficient', 'in', 'the', '6linalfa3h', 'reaction', 'with', 'polarised', 'cold', 'neutrons', 'experiments', 'were', 'carried', 'out', 'at', 'the', 'petersburg', 'nuclear', 'physics', 'institute', 'gatchina', 'russia', 'and', 'at', 'the', 'institut', 'lauelangevin', 'grenoble', 'france', 'we', 'employed', 'an', 'ionisation', 'chamber', 'in', 'a', 'configuration', 'allowing', 'us', 'to', 'suppress', 'the', 'leftright', 'asymmetry', 'well', 'below', '108', 'a', 'test', 'for', 'a', 'false', 'asymmetry', 'due', 'to', 'eventual', 'target', 'impurities', 'zero', 'test', 'resulted', 'in', 'the', 'value', '0005x108', 'as', 'final', 'result', 'we', 'obtained', 'podd', 'effect', '8620x108']] | [-0.03470435377823401, 0.17936905669332098, -0.11068707640036717, 0.09393036294775674, -0.017402460568737756, -0.10523383482654072, 0.018442020636594184, 0.2626257376285576, -0.17425124927812927, -0.33415663632552456, 0.021099961134369332, -0.33867771456701845, 0.03416250396189811, 0.1721326465942437, 0.023721466336069228, 0.03342133378492126, 0.008298886273810757, -0.027050071451930873, -0.036989946330932874, -0.21129829218593438, 0.21804276035650622, 0.20359277690737212, 0.311967032666825, 0.1408957465186338, 0.1293283770615353, 0.005890855837272203, -0.04916174646136882, -0.05553013395187976, -0.13159582864115887, -0.01662194009728824, 0.2951505744116546, 0.054613241174293656, 0.15310065863253194, -0.43785972636240195, -0.08585065068040468, 0.12280816985058444, 0.03711062271289433, 0.12977343943865993, -0.0693676570324298, -0.34091769484213635, -0.0049357711915162545, -0.21537283749932634, -0.19454134140116505, -0.011468191259788185, -0.0010623011879528626, -0.033162642146543235, -0.3078177065553167, 0.08541597145067269, -0.05112606331800358, 0.08096767447983162, -0.05485997637262261, -0.19410484695005453, 0.01578840990020316, 0.0784354290182266, 0.06759805687337736, 0.0642482668557057, 0.21009476411545389, -0.07946692024581606, -0.09297947331532082, 0.35085108659312697, -0.09870024402684803, -0.08433083242654235, 0.11870767049715394, -0.26630470408951934, -0.15900345841316577, 0.13486958711899527, 0.22543788338197937, 0.11885137548316506, -0.12558568886162924, 0.053016341090220014, -0.0027338832770061644, 0.14441495277930663, 0.17780446565910418, -0.04758434589138797, 0.23411678673723077, 0.14426358453001048, -0.0032055683233598365, 0.10192891636486107, -0.2292347794156993, -0.04726284270210168, -0.33051304283398614, -0.12154971104398181, -0.09067553448302176, 0.058026570060490806, 0.06458680558072173, -0.02378656694966168, 0.3492939991852905, 0.08855168078141877, 0.1604675002914818, -0.09222631637431399, 0.2700329497810217, 0.02988255992119165, 0.058665275927397266, 0.011087759232879439, 0.3008998419052061, 0.1818761076996268, 0.19197356578882172, -0.3006745806034607, 0.08296246954558205, 0.01342817354664395] |
710.3695 | Magnetic Field Distribution Due to Domain Walls in Unconventional
Superconductors | Steady-state properties of Bloch domain wall (DW) in superconducting
ferromagnet (SCFM) are studied. The distribution of magnetic field above and
below the surface of the SCFM due to the permanent magnetization supercurrent
flowing in the DW plane is calculated by solving Maxwell equations supplemented
by London equation. It is shown that part of the magnetic flux of the two
neighboring domains closures in the nearest vicinity of the surface of the
sample giving rise to declination of the line of the force from being parallel
to the DW plane. As a result, the value of the normal component of magnetic
field at the surface of the sample reaches only half of the value of the bulk
magnetic flux. At the distances of the order of value of London penetration
depth the magnetic field decreases as inverse power law due to the long-range
character of dipole-dipole interaction. The last two circumstances are
important for comparison the calculated magnetic field with the data obtained
by the methods on measurement of normal component of magnetic field, e. g. Hall
probe technique, aimed to confirm the existence of magnetic order parameter in
unconventional superconductor.
| cond-mat.supr-con | steadystate properties of bloch domain wall dw in superconducting ferromagnet scfm are studied the distribution of magnetic field above and below the surface of the scfm due to the permanent magnetization supercurrent flowing in the dw plane is calculated by solving maxwell equations supplemented by london equation it is shown that part of the magnetic flux of the two neighboring domains closures in the nearest vicinity of the surface of the sample giving rise to declination of the line of the force from being parallel to the dw plane as a result the value of the normal component of magnetic field at the surface of the sample reaches only half of the value of the bulk magnetic flux at the distances of the order of value of london penetration depth the magnetic field decreases as inverse power law due to the longrange character of dipoledipole interaction the last two circumstances are important for comparison the calculated magnetic field with the data obtained by the methods on measurement of normal component of magnetic field e g hall probe technique aimed to confirm the existence of magnetic order parameter in unconventional superconductor | [['steadystate', 'properties', 'of', 'bloch', 'domain', 'wall', 'dw', 'in', 'superconducting', 'ferromagnet', 'scfm', 'are', 'studied', 'the', 'distribution', 'of', 'magnetic', 'field', 'above', 'and', 'below', 'the', 'surface', 'of', 'the', 'scfm', 'due', 'to', 'the', 'permanent', 'magnetization', 'supercurrent', 'flowing', 'in', 'the', 'dw', 'plane', 'is', 'calculated', 'by', 'solving', 'maxwell', 'equations', 'supplemented', 'by', 'london', 'equation', 'it', 'is', 'shown', 'that', 'part', 'of', 'the', 'magnetic', 'flux', 'of', 'the', 'two', 'neighboring', 'domains', 'closures', 'in', 'the', 'nearest', 'vicinity', 'of', 'the', 'surface', 'of', 'the', 'sample', 'giving', 'rise', 'to', 'declination', 'of', 'the', 'line', 'of', 'the', 'force', 'from', 'being', 'parallel', 'to', 'the', 'dw', 'plane', 'as', 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710.3696 | Optical Spectroscopy of Active Galactic Nuclei in SA57 | The cosmological evolution of X-ray-selected and optically selected Active
Galactic Nuclei (AGNs) show different behaviours interpreted in terms of two
different populations. The difference is evident mainly for low luminosity AGNs
(LLAGNs), many of which are lost by optical photometric surveys. We are
conducting a spectroscopical study of a composite sample of AGN candidates
selected in SA57 following different searching techniques, to identify low
luminosity AGNs and break down the sample into different classes of objects.
AGN candidates were obtained through optical variability and/or X-ray emission.
Of special interest are the extended variable objects, which are expected to be
galaxies hosting LLAGNs. Among the 26 classified objects a fair number (9) show
typical AGN spectra. 10 objects show Narrow Emission Line Galaxy spectra, and
in most of them (8/10) optical variability suggests the presence of LLAGNs.
| astro-ph | the cosmological evolution of xrayselected and optically selected active galactic nuclei agns show different behaviours interpreted in terms of two different populations the difference is evident mainly for low luminosity agns llagns many of which are lost by optical photometric surveys we are conducting a spectroscopical study of a composite sample of agn candidates selected in sa57 following different searching techniques to identify low luminosity agns and break down the sample into different classes of objects agn candidates were obtained through optical variability andor xray emission of special interest are the extended variable objects which are expected to be galaxies hosting llagns among the 26 classified objects a fair number 9 show typical agn spectra 10 objects show narrow emission line galaxy spectra and in most of them 810 optical variability suggests the presence of llagns | [['the', 'cosmological', 'evolution', 'of', 'xrayselected', 'and', 'optically', 'selected', 'active', 'galactic', 'nuclei', 'agns', 'show', 'different', 'behaviours', 'interpreted', 'in', 'terms', 'of', 'two', 'different', 'populations', 'the', 'difference', 'is', 'evident', 'mainly', 'for', 'low', 'luminosity', 'agns', 'llagns', 'many', 'of', 'which', 'are', 'lost', 'by', 'optical', 'photometric', 'surveys', 'we', 'are', 'conducting', 'a', 'spectroscopical', 'study', 'of', 'a', 'composite', 'sample', 'of', 'agn', 'candidates', 'selected', 'in', 'sa57', 'following', 'different', 'searching', 'techniques', 'to', 'identify', 'low', 'luminosity', 'agns', 'and', 'break', 'down', 'the', 'sample', 'into', 'different', 'classes', 'of', 'objects', 'agn', 'candidates', 'were', 'obtained', 'through', 'optical', 'variability', 'andor', 'xray', 'emission', 'of', 'special', 'interest', 'are', 'the', 'extended', 'variable', 'objects', 'which', 'are', 'expected', 'to', 'be', 'galaxies', 'hosting', 'llagns', 'among', 'the', '26', 'classified', 'objects', 'a', 'fair', 'number', '9', 'show', 'typical', 'agn', 'spectra', '10', 'objects', 'show', 'narrow', 'emission', 'line', 'galaxy', 'spectra', 'and', 'in', 'most', 'of', 'them', '810', 'optical', 'variability', 'suggests', 'the', 'presence', 'of', 'llagns']] | [-0.05200831558624351, 0.1047554486758869, -0.02445722854937668, 0.1828588650443298, -0.07678875533725929, -0.11850410589120454, 0.05402987224601761, 0.49029132395430847, -0.1327282811730617, -0.4017192815326982, 0.058326314318131796, -0.32726611387570975, 0.027347364035193566, 0.2115004951617232, -0.020530142217736552, -0.043108940996333125, -0.011709444259327871, -0.1694528414591871, -0.0023152207127875753, -0.2773205303483539, 0.2974980490144204, 0.014371591351098485, 0.20755501590945102, -0.12220327549283092, 0.06209414293644605, -0.07864508749744682, -0.14328589486648088, 0.012292675901618269, -0.05782010163766919, 0.06084394870946805, 0.349039369173072, 0.11189177829979194, 0.22317271705854821, -0.2928301452774408, -0.22958781090737493, 0.11910714649905761, 0.2212893703814458, 0.02448172201057551, -0.0706125384748534, -0.24421311790744463, 0.052722571434936034, -0.18260907180503838, -0.13877262302708845, 0.04878949352229635, 0.05180572821172299, 0.09781449346596169, -0.1589672570558765, 0.10482016413783034, 0.01206384624561502, 0.13475421729877038, -0.1512534502669479, -0.11188078866926608, -0.06363173599389416, 0.07304953442955459, 0.06001205373796876, -0.013731532733611487, 0.2312765456977542, -0.15480546081411442, -0.08794003569141583, 0.3923101423446227, 0.03488908760611796, 0.052636274374607536, 0.2585401473911824, -0.20165731414842109, -0.20210878272644348, 0.17863041683772785, 0.18765640675642148, 0.15935473605231554, -0.17006923017540462, -0.04677733229731934, -0.03506273189904513, 0.22013565417879297, -0.0249545571014837, 0.1390938268026932, 0.3309631462277913, 0.08291965959059006, -0.030503618888367244, 0.16993298386999717, -0.2085708649184434, 0.012743410185255386, -0.24958339577747715, -0.05400694298161263, -0.12351299102452618, 0.1045908782010277, -0.1368565741854211, -0.08870573760251756, 0.35990191448686853, 0.04347665093632208, 0.24341224573242168, 0.009978157033522924, 0.24134266372701085, 0.06109762055868352, 0.10401208106093152, 0.09910722427518555, 0.3670610324798704, 0.1246848800426556, 0.041120049143554986, -0.2231551018120997, 0.025645833241718787, -0.0036492310188434743] |
710.3697 | Coupling a branching process to an infinite dimensional epidemic process | Branching process approximation to the initial stages of an epidemic process
has been used since the 1950's as a technique for providing stochastic
counterparts to deterministic epidemic threshold theorems. One way of
describing the approximation is to construct both branching and epidemic
processes on the same probability space, in such a way that their paths
coincide for as long as possible. In this paper, it is shown, in the context of
a Markovian model of parasitic infection, that coincidence can be achieved with
asymptotically high probability until o(N^{2/3}) infections have occurred,
where N denotes the total number of hosts.
| math.PR q-bio.PE | branching process approximation to the initial stages of an epidemic process has been used since the 1950s as a technique for providing stochastic counterparts to deterministic epidemic threshold theorems one way of describing the approximation is to construct both branching and epidemic processes on the same probability space in such a way that their paths coincide for as long as possible in this paper it is shown in the context of a markovian model of parasitic infection that coincidence can be achieved with asymptotically high probability until on23 infections have occurred where n denotes the total number of hosts | [['branching', 'process', 'approximation', 'to', 'the', 'initial', 'stages', 'of', 'an', 'epidemic', 'process', 'has', 'been', 'used', 'since', 'the', '1950s', 'as', 'a', 'technique', 'for', 'providing', 'stochastic', 'counterparts', 'to', 'deterministic', 'epidemic', 'threshold', 'theorems', 'one', 'way', 'of', 'describing', 'the', 'approximation', 'is', 'to', 'construct', 'both', 'branching', 'and', 'epidemic', 'processes', 'on', 'the', 'same', 'probability', 'space', 'in', 'such', 'a', 'way', 'that', 'their', 'paths', 'coincide', 'for', 'as', 'long', 'as', 'possible', 'in', 'this', 'paper', 'it', 'is', 'shown', 'in', 'the', 'context', 'of', 'a', 'markovian', 'model', 'of', 'parasitic', 'infection', 'that', 'coincidence', 'can', 'be', 'achieved', 'with', 'asymptotically', 'high', 'probability', 'until', 'on23', 'infections', 'have', 'occurred', 'where', 'n', 'denotes', 'the', 'total', 'number', 'of', 'hosts']] | [-0.09205880288429784, 0.12713583331273498, -0.07816170777824491, 0.09073371780029235, -0.01783753199634528, -0.1390068178309711, 0.11060055886334128, 0.37083361111581326, -0.22386386110964748, -0.27577613952635516, 0.11984324602250274, -0.2627504161944745, -0.16240276334891943, 0.16656848693482879, -0.056437794374292624, 0.08736344805043755, 0.05440074788651081, 0.06735963662710003, 0.053530322702371076, -0.2878578632159836, 0.265813756549588, 0.07433013086421227, 0.24743013759026058, 0.010134231604899119, 0.12362963340781404, 0.006132531393733289, -0.0073196567886631295, 0.003555095860101941, -0.12617926857968664, 0.01465221479384586, 0.287680332633582, 0.1658309910827401, 0.2931592409320251, -0.4159976090821955, -0.23198280465140036, 0.18149676430568268, 0.19995120024006352, 0.1423716370975881, 0.02189028753094714, -0.2436576270300782, 0.08361051233504156, -0.17601844103009712, -0.14941405587138212, 0.014377155284764189, 0.07118570985216083, 0.007634977292683389, -0.2774796592955939, 0.04623578585133972, 0.0515499229194841, -0.020632303330748614, 0.0144073110581799, -0.09579186920415271, -0.030879117073397144, 0.1511913366578143, 0.05137349385356606, 0.03086001967606746, 0.10694462570803936, -0.11292240204468294, -0.1623851791908494, 0.34083732709552, -0.05644343135351635, -0.16534105590497605, 0.16813066712288996, -0.14307368846817148, -0.13600636042202963, 0.160503282425737, 0.19643369071524253, 0.10912824863323359, -0.17827900912556233, 0.0849788720723044, 0.00045036906470554046, 0.09016593604000529, 0.10111111094892929, 0.027237701511970074, 0.12518563421179701, 0.22831913306744714, 0.10451140841281023, 0.09511633798588218, -0.06376232226811951, -0.1471211904797449, -0.2672178479419513, -0.14798269145228346, -0.15772484493150254, 0.09106537769431004, -0.07821549554669999, -0.19108773294849218, 0.3441516765572055, 0.13575283772161587, 0.22679928026980523, 0.11859040281199144, 0.23700085218826478, 0.1570045885481787, 0.010083257016076735, 0.06210694083887519, 0.20778035980677514, 0.14371461662078144, 0.08003894467791071, -0.16617677961899477, 0.19735631542844753, 0.056368124596021994] |
710.3698 | Nature versus Nurture: The curved spine of the galaxy cluster X-ray
luminosity -- temperature relation | The physical processes that define the spine of the galaxy cluster X-ray
luminosity -- temperature (L-T) relation are investigated using a large
hydrodynamical simulation of the Universe. This simulation models the same
volume and phases as the Millennium Simulation and has a linear extent of 500
h^{-1} Mpc. We demonstrate that mergers typically boost a cluster along but
also slightly below the L-T relation. Due to this boost we expect that all of
the very brightest clusters will be near the peak of a merger. Objects from
near the top of the L-T relation tend to have assembled much of their mass
earlier than an average halo of similar final mass. Conversely, objects from
the bottom of the relation are often experiencing an ongoing or recent merger.
| astro-ph | the physical processes that define the spine of the galaxy cluster xray luminosity temperature lt relation are investigated using a large hydrodynamical simulation of the universe this simulation models the same volume and phases as the millennium simulation and has a linear extent of 500 h1 mpc we demonstrate that mergers typically boost a cluster along but also slightly below the lt relation due to this boost we expect that all of the very brightest clusters will be near the peak of a merger objects from near the top of the lt relation tend to have assembled much of their mass earlier than an average halo of similar final mass conversely objects from the bottom of the relation are often experiencing an ongoing or recent merger | [['the', 'physical', 'processes', 'that', 'define', 'the', 'spine', 'of', 'the', 'galaxy', 'cluster', 'xray', 'luminosity', 'temperature', 'lt', 'relation', 'are', 'investigated', 'using', 'a', 'large', 'hydrodynamical', 'simulation', 'of', 'the', 'universe', 'this', 'simulation', 'models', 'the', 'same', 'volume', 'and', 'phases', 'as', 'the', 'millennium', 'simulation', 'and', 'has', 'a', 'linear', 'extent', 'of', '500', 'h1', 'mpc', 'we', 'demonstrate', 'that', 'mergers', 'typically', 'boost', 'a', 'cluster', 'along', 'but', 'also', 'slightly', 'below', 'the', 'lt', 'relation', 'due', 'to', 'this', 'boost', 'we', 'expect', 'that', 'all', 'of', 'the', 'very', 'brightest', 'clusters', 'will', 'be', 'near', 'the', 'peak', 'of', 'a', 'merger', 'objects', 'from', 'near', 'the', 'top', 'of', 'the', 'lt', 'relation', 'tend', 'to', 'have', 'assembled', 'much', 'of', 'their', 'mass', 'earlier', 'than', 'an', 'average', 'halo', 'of', 'similar', 'final', 'mass', 'conversely', 'objects', 'from', 'the', 'bottom', 'of', 'the', 'relation', 'are', 'often', 'experiencing', 'an', 'ongoing', 'or', 'recent', 'merger']] | [-0.07235826075720113, 0.1280003745671979, -0.12200474694726013, 0.10643205664394098, -0.07815572992891133, -0.025338523141625855, 0.03894166991720715, 0.3930947713494774, -0.20905480714928773, -0.33588030922507484, 0.1002444410585754, -0.29618634023363627, -0.05429869640751609, 0.22303725520171047, 0.005246589329862405, -0.012479060877388018, 0.06776168106848167, 0.01251293361068718, -0.12405108311767912, -0.2663991392907938, 0.3290611822305927, 0.11451606927365655, 0.2200615213267387, -0.029088102440009752, 0.08025023447246188, -0.08645779156451305, -0.07093043041060723, 0.01685210085281777, -0.13343484133812517, 0.02418829205987369, 0.19757190068374922, 0.09085029762770448, 0.2339729860070206, -0.3760895019929324, -0.1778682456361056, 0.09280419792418206, 0.20350146240421704, 0.09095296941490637, -0.08592296066686571, -0.25137560446524904, 0.11409879777772677, -0.23132804519541206, -0.13366108022571083, 0.08359185983205125, 0.031277470120657534, 0.03032044642087486, -0.16367151781996075, 0.15432273336692662, 0.04255476477925503, 0.020098812310838154, -0.05675265927141207, -0.09168571827282744, -0.07915216312551546, 0.10139922402791739, 0.02468632772150967, 0.07791218061174732, 0.1914278764891187, -0.14500924851375793, -0.06016684952561581, 0.4003693039070756, -0.00495364951094084, -0.053533022048040516, 0.2626549345367248, -0.20635871194953945, -0.13048969980676672, 0.10270450928337163, 0.18823781206886034, 0.07530526717429951, -0.15804155775722825, 0.016909348814459962, -0.04603427123751432, 0.20776263014819946, 0.05548659787468967, 0.00844715829831936, 0.2936090498572282, 0.1471569795717692, 0.032948071065004025, 0.0992903376486899, -0.13790070335565519, -0.05144059336152933, -0.26538462898073095, -0.11452470337676388, -0.12965913977758545, 0.057671266260542094, -0.1351366617699756, -0.13515005448079181, 0.31841040445521235, 0.1433553857690034, 0.2528337947026427, 0.11233303979194413, 0.26939856461138423, 0.09462510724274796, 0.13664062728270118, 0.08853125655358392, 0.29611474985537667, 0.14571134001016617, 0.08459798620629405, -0.22892615648564218, 0.05120032302395899, -0.018657997956440325] |
710.3699 | Charge asymmetry for electron (positron)-proton elastic scattering at
large angle | Charge asymmetry in electron (positron) scattering arises from the
interference of the Born amplitude and the box-type amplitude corresponding to
two virtual photons exchange. It can be extracted from electron proton and
positron proton scattering experiments, in the same kinematical conditions.
Considering the virtual photon Compton scattering tensor, which contributes to
the box-type amplitude, we separate proton and inelastic contributions in the
intermediate state and parametrize the proton form-factors as the sum of a pure
QED term and a strong interaction term. Arguments based on analyticity are
given in favor of cancellation of contributions from proton strong interaction
form factors and of inelastic intermediate states in the box type amplitudes.
In frame of this model, with a realistic expression for nucleon form-factors,
numerical estimations are given for moderately high energies.
| hep-ph | charge asymmetry in electron positron scattering arises from the interference of the born amplitude and the boxtype amplitude corresponding to two virtual photons exchange it can be extracted from electron proton and positron proton scattering experiments in the same kinematical conditions considering the virtual photon compton scattering tensor which contributes to the boxtype amplitude we separate proton and inelastic contributions in the intermediate state and parametrize the proton formfactors as the sum of a pure qed term and a strong interaction term arguments based on analyticity are given in favor of cancellation of contributions from proton strong interaction form factors and of inelastic intermediate states in the box type amplitudes in frame of this model with a realistic expression for nucleon formfactors numerical estimations are given for moderately high energies | [['charge', 'asymmetry', 'in', 'electron', 'positron', 'scattering', 'arises', 'from', 'the', 'interference', 'of', 'the', 'born', 'amplitude', 'and', 'the', 'boxtype', 'amplitude', 'corresponding', 'to', 'two', 'virtual', 'photons', 'exchange', 'it', 'can', 'be', 'extracted', 'from', 'electron', 'proton', 'and', 'positron', 'proton', 'scattering', 'experiments', 'in', 'the', 'same', 'kinematical', 'conditions', 'considering', 'the', 'virtual', 'photon', 'compton', 'scattering', 'tensor', 'which', 'contributes', 'to', 'the', 'boxtype', 'amplitude', 'we', 'separate', 'proton', 'and', 'inelastic', 'contributions', 'in', 'the', 'intermediate', 'state', 'and', 'parametrize', 'the', 'proton', 'formfactors', 'as', 'the', 'sum', 'of', 'a', 'pure', 'qed', 'term', 'and', 'a', 'strong', 'interaction', 'term', 'arguments', 'based', 'on', 'analyticity', 'are', 'given', 'in', 'favor', 'of', 'cancellation', 'of', 'contributions', 'from', 'proton', 'strong', 'interaction', 'form', 'factors', 'and', 'of', 'inelastic', 'intermediate', 'states', 'in', 'the', 'box', 'type', 'amplitudes', 'in', 'frame', 'of', 'this', 'model', 'with', 'a', 'realistic', 'expression', 'for', 'nucleon', 'formfactors', 'numerical', 'estimations', 'are', 'given', 'for', 'moderately', 'high', 'energies']] | [-0.10628014192558252, 0.23353287640941114, -0.0714725474804604, 0.1654569733628215, -0.01754529946259796, -0.08536782473495874, 0.04134820044900362, 0.3308059301800453, -0.22592170408640344, -0.259992089195965, -0.04738729251011346, -0.33520843130178174, -0.0353724697461495, 0.14283473410536177, 0.09835744508040639, 0.025518765202902544, 0.050486822413782086, 0.010215834026726392, -0.05675171533456216, -0.13003505002707244, 0.36796334634463373, 0.049804915242398586, 0.2790024081674906, 0.16936111218439273, 0.08836622385021586, 0.10175632095465867, -0.046508947996279366, -0.04835273097985639, -0.04401835656384579, 0.08047787436740832, 0.23589827260092044, 0.04185635456457161, 0.09899798190722672, -0.46855459787811227, -0.1470877338738109, 0.05231183288762203, 0.14585974373890517, 0.12311327487606412, -0.01263105396915657, -0.2633073772088839, -0.007947735422595333, -0.21304317090946895, -0.12893953817681625, -0.07108891919756738, 0.01244650473101781, 0.023462187659998354, -0.3366382338106632, 0.10220215947976193, -0.0235636869391713, -0.01993683687267968, -0.11746811321175371, -0.15534500653783861, 0.01773930101727064, 0.07439759395156915, 0.11249120075954125, 0.06496695378043044, 0.14230106695053668, -0.18418597599598938, -0.10334157437229385, 0.3633242007327051, -0.050348391520002714, -0.18091527625488546, 0.12250448674357568, -0.20671462735447746, -0.07154639470390975, 0.21010327162310624, 0.17222955187496083, 0.05741729563720023, -0.159467552928254, 0.08725484274775507, -0.0059932817060213825, 0.1441955186928121, 0.1299436293772977, 0.07261489682221929, 0.17927950811930574, 0.13128356066926455, -0.06499209301546216, 0.0969387943417622, -0.14005295450691707, -0.06543728051563868, -0.36674804383745563, -0.06720726730731817, -0.13412641964387148, 0.07826044504674008, -0.07794949325594083, -0.12058498876599165, 0.34508617010075027, 0.07142807580530644, 0.20595621663691976, -0.017595445048601294, 0.3423881343350961, 0.1656865295748083, 0.09405613181252892, 0.026398929172696976, 0.294433039559338, 0.1598668447838953, 0.10448134986716189, -0.280139877824471, 0.03247943940715721, 0.040252215286286974] |
710.37 | Nuclear matter in the chiral limit and the in-medium chiral condensate | We investigate nuclear matter, i.e. the nuclear equation-of-state (EOS) as
well as the relativistic mean fields in the chiral limit. The investigations
are based on a chiral nucleon-nucleon EFT interaction where the explicit and
implicit pion mass dependence is known up to next-to-leading order. The nuclear
bulk properties are found to remain fairly stable in the chiral limit. Based on
the same interaction the in-medium scalar condensate is derived, both in
Hartree-Fock approximation as well as from the Brueckner G-matrix, making
thereby use of the Hellman-Feynman theorem. Short distance physics which
determines the reduction of the in-medium nucleon mass is found to play only a
minor role for the reduction of the chiral condensate.
| nucl-th | we investigate nuclear matter ie the nuclear equationofstate eos as well as the relativistic mean fields in the chiral limit the investigations are based on a chiral nucleonnucleon eft interaction where the explicit and implicit pion mass dependence is known up to nexttoleading order the nuclear bulk properties are found to remain fairly stable in the chiral limit based on the same interaction the inmedium scalar condensate is derived both in hartreefock approximation as well as from the brueckner gmatrix making thereby use of the hellmanfeynman theorem short distance physics which determines the reduction of the inmedium nucleon mass is found to play only a minor role for the reduction of the chiral condensate | [['we', 'investigate', 'nuclear', 'matter', 'ie', 'the', 'nuclear', 'equationofstate', 'eos', 'as', 'well', 'as', 'the', 'relativistic', 'mean', 'fields', 'in', 'the', 'chiral', 'limit', 'the', 'investigations', 'are', 'based', 'on', 'a', 'chiral', 'nucleonnucleon', 'eft', 'interaction', 'where', 'the', 'explicit', 'and', 'implicit', 'pion', 'mass', 'dependence', 'is', 'known', 'up', 'to', 'nexttoleading', 'order', 'the', 'nuclear', 'bulk', 'properties', 'are', 'found', 'to', 'remain', 'fairly', 'stable', 'in', 'the', 'chiral', 'limit', 'based', 'on', 'the', 'same', 'interaction', 'the', 'inmedium', 'scalar', 'condensate', 'is', 'derived', 'both', 'in', 'hartreefock', 'approximation', 'as', 'well', 'as', 'from', 'the', 'brueckner', 'gmatrix', 'making', 'thereby', 'use', 'of', 'the', 'hellmanfeynman', 'theorem', 'short', 'distance', 'physics', 'which', 'determines', 'the', 'reduction', 'of', 'the', 'inmedium', 'nucleon', 'mass', 'is', 'found', 'to', 'play', 'only', 'a', 'minor', 'role', 'for', 'the', 'reduction', 'of', 'the', 'chiral', 'condensate']] | [-0.09432303090988282, 0.18192793153585834, -0.13950350248303853, 0.14046473654799915, -0.07021784232194095, -0.04570831943368703, -0.012967298211725918, 0.3265227010604321, -0.17829400519922114, -0.2932883508895573, 0.007082802861348905, -0.27246606033377085, -0.04663782862725815, 0.10940434975680291, 0.08674010365747993, 0.0576194120089017, -0.02628135774693076, 0.11148080434813573, -0.11306328065856769, -0.18758515344540538, 0.344991371811678, 0.045696045917442495, 0.20592256749800422, 0.17875711446558534, 0.05924241282576859, 0.06157412057693459, -0.0004942831174846281, -0.039728490014870964, -0.11802762429834458, 0.056745082418018955, 0.23470638953292286, -0.02881021891197745, 0.18592930998930937, -0.4119652215750855, -0.2068232633264096, 0.06391773793719742, 0.13933245704525657, 0.18821717392583787, -0.05382714729976693, -0.2749091487198153, 0.04039925802090581, -0.24809195583261417, -0.1639005313372125, -0.1403998441528529, 0.005478572141248406, 0.046513688983395696, -0.2730235941708088, 0.12672982956160253, 0.012175978797594118, 0.011823192965892846, -0.08312613557484981, -0.19167150789054863, -0.0306907614520465, 0.08236549863297689, 0.0984289979647943, 0.08899580928897322, 0.19728995228120894, -0.21792674451053404, -0.05022104908896022, 0.491657868240094, -0.07091276029945891, -0.1329272758019598, 0.11614381795414119, -0.11281460198459395, -0.09846265455544517, 0.09907799092603423, 0.15778250630389443, 0.09962494177907183, -0.1644269196447312, 0.13319994219968895, -0.03000435053387232, 0.1837393441891069, 0.0760404836762239, 0.066885083023328, 0.1868280237989925, 0.18536096168355198, 0.017735714052003203, 0.047930457069652904, -0.07483815866075211, -0.16672455519846266, -0.3506287174920241, -0.05101709143797818, -0.1851370881736409, 0.048385539533531606, -0.10047936100058825, -0.1646089763625672, 0.3512723832309507, 0.10003630959494203, 0.19748896507448271, 0.004444497867217778, 0.28395459343058366, 0.11333068606051568, 0.08239831608360666, 0.06998184707685652, 0.32781129866315606, 0.2587870107065037, 0.05014669150931009, -0.31361794858362135, 0.007999430518809771, 0.1100660149179595] |
710.3701 | Population trapping due to cavity losses | In population trapping the occupation of a decaying quantum level keeps a
constant non-zero value. We show that an atom-cavity system interacting with an
environment characterized by a non-flat spectrum, in the non-Markovian limit,
exhibits such a behavior, effectively realizing the preservation of
nonclassical states against dissipation. Our results allow to understand the
role of cavity losses in hybrid solid state systems and pave the way to the
proper description of leakage in the recently developed cavity quantum
electrodynamic systems.
| quant-ph | in population trapping the occupation of a decaying quantum level keeps a constant nonzero value we show that an atomcavity system interacting with an environment characterized by a nonflat spectrum in the nonmarkovian limit exhibits such a behavior effectively realizing the preservation of nonclassical states against dissipation our results allow to understand the role of cavity losses in hybrid solid state systems and pave the way to the proper description of leakage in the recently developed cavity quantum electrodynamic systems | [['in', 'population', 'trapping', 'the', 'occupation', 'of', 'a', 'decaying', 'quantum', 'level', 'keeps', 'a', 'constant', 'nonzero', 'value', 'we', 'show', 'that', 'an', 'atomcavity', 'system', 'interacting', 'with', 'an', 'environment', 'characterized', 'by', 'a', 'nonflat', 'spectrum', 'in', 'the', 'nonmarkovian', 'limit', 'exhibits', 'such', 'a', 'behavior', 'effectively', 'realizing', 'the', 'preservation', 'of', 'nonclassical', 'states', 'against', 'dissipation', 'our', 'results', 'allow', 'to', 'understand', 'the', 'role', 'of', 'cavity', 'losses', 'in', 'hybrid', 'solid', 'state', 'systems', 'and', 'pave', 'the', 'way', 'to', 'the', 'proper', 'description', 'of', 'leakage', 'in', 'the', 'recently', 'developed', 'cavity', 'quantum', 'electrodynamic', 'systems']] | [-0.1845438190503046, 0.17256118227705883, -0.09607127647614107, 0.013790341190542676, 0.012778406427241863, -0.15509842664469034, 0.040118674567202105, 0.32651199266547337, -0.23838390854070896, -0.2771839309483767, -0.00475359297124669, -0.2721325329504907, -0.09942190286819823, 0.2283866064855829, -0.024377127864863724, 0.08068708030041308, 0.05060259917518124, -0.004761458950815723, 0.005839684951934032, -0.17632243218831717, 0.30710509424097837, 0.07699659808131401, 0.30561652714386583, 0.0421929998556152, 0.10221037779119797, -0.015165580323082396, 0.0857544660975691, 0.008900681347586214, -0.10099648785881073, 0.09558594441841706, 0.21779984349268489, 0.03535848865285516, 0.3005928815808147, -0.4354866559500806, -0.2533781839621952, 0.08985129524953664, 0.14530285954242572, 0.1865114302141592, -0.09173206420382485, -0.34070758179295807, 0.007163570664124564, -0.20958018310193438, -0.2113864997692872, -0.10505872891517357, 0.015514601643371862, -0.02324331687123049, -0.2275647863105405, 0.06170710867154412, 0.08312235581688583, 0.018122569762635977, -0.06504257286724169, -0.0030723441843292674, -0.002283242970588617, 0.13882462056935765, -0.04135046121373307, -0.03075743877379864, 0.16426381592755207, -0.18948814653267618, -0.1386095713591203, 0.3741885213996284, -0.12708829668699764, -0.1783937007712666, 0.19103954151505603, -0.140219336055452, -0.07124979004147462, 0.10916077559813857, 0.14560259173740633, 0.04602948520332575, -0.12087539889616891, 0.08312277616278152, 0.025546711985953152, 0.20101135698496364, 0.004389552611974068, 0.14956230503157714, 0.24141935515217483, 0.19071183979976922, 0.07119940550765022, 0.19304014075605663, -0.033023617858998475, -0.16246051124471705, -0.29722297862172126, -0.1921600408386439, -0.1740444954368286, 0.09649410485289991, -0.041825275571136446, -0.17845784583478236, 0.3892388380249031, 0.1439265168562997, 0.18405433502048255, 0.0054563164740102366, 0.27810255279764534, 0.16756657795776847, 0.03213636850414332, 0.08783797637443058, 0.2725373445719015, 0.14850389489729424, 0.06949325951281934, -0.32838613712228837, 0.03202795045217499, -0.02165422320831567] |
710.3702 | Monomial integrals on the classical groups | This paper presents a powerfull method to integrate general monomials on the
classical groups with respect to their invariant (Haar) measure. The method has
first been applied to the orthogonal group in [J. Math. Phys. 43, 3342 (2002)],
and is here used to obtain similar integration formulas for the unitary and the
unitary symplectic group. The integration formulas turn out to be of similar
form. They are all recursive, where the recursion parameter is the number of
column (row) vectors from which the elements in the monomial are taken. This is
an important difference to other integration methods. The integration formulas
are easily implemented in a computer algebra environment, which allows to
obtain analytical expressions very efficiently. Those expressions contain the
matrix dimension as a free parameter.
| math-ph cond-mat.mes-hall math.MP math.RT | this paper presents a powerfull method to integrate general monomials on the classical groups with respect to their invariant haar measure the method has first been applied to the orthogonal group in j math phys 43 3342 2002 and is here used to obtain similar integration formulas for the unitary and the unitary symplectic group the integration formulas turn out to be of similar form they are all recursive where the recursion parameter is the number of column row vectors from which the elements in the monomial are taken this is an important difference to other integration methods the integration formulas are easily implemented in a computer algebra environment which allows to obtain analytical expressions very efficiently those expressions contain the matrix dimension as a free parameter | [['this', 'paper', 'presents', 'a', 'powerfull', 'method', 'to', 'integrate', 'general', 'monomials', 'on', 'the', 'classical', 'groups', 'with', 'respect', 'to', 'their', 'invariant', 'haar', 'measure', 'the', 'method', 'has', 'first', 'been', 'applied', 'to', 'the', 'orthogonal', 'group', 'in', 'j', 'math', 'phys', '43', '3342', '2002', 'and', 'is', 'here', 'used', 'to', 'obtain', 'similar', 'integration', 'formulas', 'for', 'the', 'unitary', 'and', 'the', 'unitary', 'symplectic', 'group', 'the', 'integration', 'formulas', 'turn', 'out', 'to', 'be', 'of', 'similar', 'form', 'they', 'are', 'all', 'recursive', 'where', 'the', 'recursion', 'parameter', 'is', 'the', 'number', 'of', 'column', 'row', 'vectors', 'from', 'which', 'the', 'elements', 'in', 'the', 'monomial', 'are', 'taken', 'this', 'is', 'an', 'important', 'difference', 'to', 'other', 'integration', 'methods', 'the', 'integration', 'formulas', 'are', 'easily', 'implemented', 'in', 'a', 'computer', 'algebra', 'environment', 'which', 'allows', 'to', 'obtain', 'analytical', 'expressions', 'very', 'efficiently', 'those', 'expressions', 'contain', 'the', 'matrix', 'dimension', 'as', 'a', 'free', 'parameter']] | [-0.09334386542520126, 0.06712835858950454, -0.10207282480835093, 0.0342269538348086, -0.10935034271050978, -0.11448191839690122, 0.012516282103757747, 0.3766993087107741, -0.2685041725360532, -0.28074810003328293, 0.11006826772189546, -0.24051638210467777, -0.13949471141585684, 0.20719527455934095, -0.07688101481357094, 0.051495740171815234, 0.02695621335402307, 0.05991606652373668, -0.11083027074415068, -0.2619898514748793, 0.2772952096544089, 0.028484137197149786, 0.2621996580161554, -0.03148454515718099, 0.08334461991092205, -0.01936426492935912, -0.0719791768764065, -0.02280778228121949, -0.10757772878039716, 0.14511772958510447, 0.3101670896913123, 0.08592866346108045, 0.22202787278440056, -0.40644841349324373, -0.1253234585600458, 0.12230393555983314, 0.14384781259412724, 0.10505062598170434, 0.010858914927638129, -0.27950249000738453, 0.07104473034933752, -0.1996751553782328, -0.13801825209337426, -0.13906338503107604, 0.06472827872540068, 0.01001445002721872, -0.2865982040997565, 0.031055165546410902, 0.03626889123867347, 0.04940825679126804, -0.0179997481984145, -0.14315669224542515, 0.023348092123514085, 0.13762922292322244, -0.02052515563115067, 0.03982237916381106, 0.09487195692839116, -0.03561613331438871, -0.09260069957281661, 0.3904838916024296, -0.030986463247732386, -0.266529248311463, 0.1752498337181329, -0.12411320927061552, -0.16052751353846526, 0.13044427929255437, 0.13491963239489344, 0.12052176143299406, -0.16044756072008703, 0.1282467564822754, -0.07364239613342238, 0.10711904480232029, 0.08970914669994881, 0.001440025527327226, 0.12521431626986682, 0.03566098844771838, 0.04935399534760087, 0.1293034710271438, -0.019560810220684476, -0.10551870376692982, -0.2877447081832435, -0.20837246535935322, -0.15496188943461317, 0.04458667139896727, -0.08551779039929196, -0.1533645335896542, 0.37789758327637074, 0.1484400769196062, 0.18104954210557336, 0.08289957095824886, 0.2564688594205173, 0.17233518154569352, 0.10452460292195094, 0.08718791816339601, 0.1560545398993051, 0.19980374468842477, 0.04760664105635342, -0.14619616479392888, 0.024776031182506892, 0.15016381053334674] |
710.3703 | Spectral Properties and Linear Stability of Self-Similar Wave Maps | We study co--rotational wave maps from $(3+1)$--Minkowski space to the
three--sphere $S^3$. It is known that there exists a countable family $\{f_n\}$
of self--similar solutions. We investigate their stability under linear
perturbations by operator theoretic methods. To this end we study the spectra
of the perturbation operators, prove well--posedness of the corresponding
linear Cauchy problem and deduce a growth estimate for solutions. Finally, we
study perturbations of the limiting solution which is obtained from $f_n$ by
letting $n \to \infty$.
| math-ph gr-qc math.AP math.MP | we study corotational wave maps from 31minkowski space to the threesphere s3 it is known that there exists a countable family f_n of selfsimilar solutions we investigate their stability under linear perturbations by operator theoretic methods to this end we study the spectra of the perturbation operators prove wellposedness of the corresponding linear cauchy problem and deduce a growth estimate for solutions finally we study perturbations of the limiting solution which is obtained from f_n by letting n to infty | [['we', 'study', 'corotational', 'wave', 'maps', 'from', '31minkowski', 'space', 'to', 'the', 'threesphere', 's3', 'it', 'is', 'known', 'that', 'there', 'exists', 'a', 'countable', 'family', 'f_n', 'of', 'selfsimilar', 'solutions', 'we', 'investigate', 'their', 'stability', 'under', 'linear', 'perturbations', 'by', 'operator', 'theoretic', 'methods', 'to', 'this', 'end', 'we', 'study', 'the', 'spectra', 'of', 'the', 'perturbation', 'operators', 'prove', 'wellposedness', 'of', 'the', 'corresponding', 'linear', 'cauchy', 'problem', 'and', 'deduce', 'a', 'growth', 'estimate', 'for', 'solutions', 'finally', 'we', 'study', 'perturbations', 'of', 'the', 'limiting', 'solution', 'which', 'is', 'obtained', 'from', 'f_n', 'by', 'letting', 'n', 'to', 'infty']] | [-0.16180439675344696, 0.0805355192418505, -0.09581907502599532, 0.09088496489102563, -0.049107770880542786, -0.07824348861092253, 0.0028989631918412222, 0.3003154443164321, -0.319968996710981, -0.17667409822439092, 0.17982237263806636, -0.33595330165581233, -0.18138239169095444, 0.14146452279329666, -0.04763384792022407, 0.09313444151908537, 0.0476370637623381, 0.05113432638913016, -0.10823071248463909, -0.19212417747336144, 0.4070643726087918, -0.037061311304569244, 0.2234290616728271, -0.011303666670352834, 0.10506325433195769, -0.023761865550274902, -0.017621357795558398, 0.00909875370996792, -0.2878950625261818, 0.0832321357816057, 0.24534378411901137, 0.12438971036160955, 0.2845562086263789, -0.39341299212242986, -0.19593813860953985, 0.18446417241445684, 0.1565189791748984, 0.07728387000882125, -0.03786240135432999, -0.2786316880838403, 0.12999966926578008, -0.1303208723216306, -0.20796141879562335, -0.10009751171816754, 0.03401420026711082, 0.052513988400497064, -0.2917768919392477, 0.04287323425818659, 0.08874248211048072, 0.014523771296762213, -0.13904369783976786, -0.02572685282359112, -0.046076916314402146, 0.08553891927239639, 0.12111902982585981, 0.015939006732210895, 0.06757145676219577, -0.08399488148279488, -0.05427385385655149, 0.36298149398784446, -0.1488621189071844, -0.2502057151043717, 0.12680426143887866, -0.18268117320994975, -0.13780938378311222, 0.09881705038626737, 0.15333455968412418, 0.17011489983223663, -0.09825580557690392, 0.19142854946910084, -0.1001556583065348, 0.14736678825007588, 0.1273104915088868, -0.008584879108857883, 0.09332615673494866, 0.0937281493127016, 0.16821229790302017, 0.20010168883430807, 0.022265439888438845, -0.05993497567958658, -0.32180306037204176, -0.12435240939825395, -0.16538875185165414, 0.14730729743940726, -0.1078023287683911, -0.18578470208316664, 0.38455494443143284, 0.12303125752501567, 0.17288896538128581, 0.16273452908528638, 0.20777548822910302, 0.16490917309788586, -0.02483374124711167, 0.09747429579331339, 0.17364185451989686, 0.16974238759272178, 0.03649195349669155, -0.20010004297217143, -0.03928181195419423, 0.17539420011865942] |
710.3704 | The red and blue galaxy populations in the GOODS field: evidence for an
excess of red dwarfs | We study the evolution of the galaxy population up to z\sim3 as a function of
its colour properties. In particular, luminosity functions and luminosity
densities have been derived as a function of redshift for the blue/late and
red/early populations. We use data from the GOODS-MUSIC catalogue which have
typical magnitude limits z<26 and Ks<23.5 for most of the sample. About 8% of
the galaxies have spectroscopic redshifts; the remaining have well calibrated
photometric redshifts derived from the extremely wide multi-wavelength coverage
in 14 bands (from the U band to the Spitzer 8 \mu m band). We have derived a
catalogue of galaxies complete in rest-frame B-band, which has been divided in
two subsamples according to their rest-frame U-V colour (or derived specific
star formation rate, SSFR) properties. We confirm a bimodality in the U-V
colour and SSFR of the galaxy sample up to z\sim 3. This bimodality is used to
compute the LFs of the blue/late and red/early subsamples. The LFs of the
blue/late and total samples are well represented by steep Schechter functions
evolving in luminosity with increasing redshifts. The volume density of the LFs
of the red/early populations decreases with increasing redshift. The shape of
the red/early LFs shows an excess of faint red dwarfs with respect to the
extrapolation of a flat Schechter function and can be represented by the sum of
two Schechter functions. Our model for galaxy formation in the hierarchical
clustering scenario, which also includes external feedback due to a diffuse UV
background, shows a general broad agreement with the LFs of both populations,
the larger discrepancies being present at the faint end for the red population.
Hints on the nature of the red dwarf population are given on the basis of their
stellar mass and spatial distributions.
| astro-ph | we study the evolution of the galaxy population up to zsim3 as a function of its colour properties in particular luminosity functions and luminosity densities have been derived as a function of redshift for the bluelate and redearly populations we use data from the goodsmusic catalogue which have typical magnitude limits z26 and ks235 for most of the sample about 8 of the galaxies have spectroscopic redshifts the remaining have well calibrated photometric redshifts derived from the extremely wide multiwavelength coverage in 14 bands from the u band to the spitzer 8 mu m band we have derived a catalogue of galaxies complete in restframe bband which has been divided in two subsamples according to their restframe uv colour or derived specific star formation rate ssfr properties we confirm a bimodality in the uv colour and ssfr of the galaxy sample up to zsim 3 this bimodality is used to compute the lfs of the bluelate and redearly subsamples the lfs of the bluelate and total samples are well represented by steep schechter functions evolving in luminosity with increasing redshifts the volume density of the lfs of the redearly populations decreases with increasing redshift the shape of the redearly lfs shows an excess of faint red dwarfs with respect to the extrapolation of a flat schechter function and can be represented by the sum of two schechter functions our model for galaxy formation in the hierarchical clustering scenario which also includes external feedback due to a diffuse uv background shows a general broad agreement with the lfs of both populations the larger discrepancies being present at the faint end for the red population hints on the nature of the red dwarf population are given on the basis of their stellar mass and spatial distributions | [['we', 'study', 'the', 'evolution', 'of', 'the', 'galaxy', 'population', 'up', 'to', 'zsim3', 'as', 'a', 'function', 'of', 'its', 'colour', 'properties', 'in', 'particular', 'luminosity', 'functions', 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710.3705 | Flavour symmetries and SUSY soft breaking in the LHC era | The so-called supersymmetric flavour problem does not exist in isolation to
the Standard Model flavour problem. We show that a realistic flavour symmetry
can simultaneously solve both problems without ad hoc modifications of the SUSY
model. Furthermore, departures from the SM expectations in these models can be
used to discriminate among different possibilities. In particular we present
the expected values for the electron EDM in a flavour model solving the
supersymmetric flavour and CP problems.
| hep-ph | the socalled supersymmetric flavour problem does not exist in isolation to the standard model flavour problem we show that a realistic flavour symmetry can simultaneously solve both problems without ad hoc modifications of the susy model furthermore departures from the sm expectations in these models can be used to discriminate among different possibilities in particular we present the expected values for the electron edm in a flavour model solving the supersymmetric flavour and cp problems | [['the', 'socalled', 'supersymmetric', 'flavour', 'problem', 'does', 'not', 'exist', 'in', 'isolation', 'to', 'the', 'standard', 'model', 'flavour', 'problem', 'we', 'show', 'that', 'a', 'realistic', 'flavour', 'symmetry', 'can', 'simultaneously', 'solve', 'both', 'problems', 'without', 'ad', 'hoc', 'modifications', 'of', 'the', 'susy', 'model', 'furthermore', 'departures', 'from', 'the', 'sm', 'expectations', 'in', 'these', 'models', 'can', 'be', 'used', 'to', 'discriminate', 'among', 'different', 'possibilities', 'in', 'particular', 'we', 'present', 'the', 'expected', 'values', 'for', 'the', 'electron', 'edm', 'in', 'a', 'flavour', 'model', 'solving', 'the', 'supersymmetric', 'flavour', 'and', 'cp', 'problems']] | [-0.054951617022355397, 0.15859545194854338, -0.02077336434274912, 0.18478994955619177, -0.10117709467808406, -0.2165053876551489, 0.05375897515254716, 0.3456189256285628, -0.27097533614064256, -0.33754484201471013, 0.048846517987549305, -0.2460644784010947, -0.07665398125847181, 0.1179387815700223, -0.03854815495510896, 0.10758090221497696, 0.043412629142403604, -0.015597541695460676, -0.12579159087501465, -0.18794150555195907, 0.25521801467984917, -0.017892845707635083, 0.2473263224090139, 0.07349751249576608, 0.013185642566531897, -0.05069260080034534, -0.0014675638079643249, 0.01054356767485539, -0.06443763588603664, 0.09434629932356377, 0.23355453023905284, 0.15600812524557114, 0.10215225125352542, -0.4704065334796905, -0.23656431215504806, 0.23959643978625536, 0.15591048307716845, 0.1745834759902209, -0.06144214606533448, -0.2652323029904316, 0.09188993120837646, -0.18788179876282812, -0.1038910242728889, -0.07478902892830472, -0.0996796889230609, -0.11247952916969856, -0.3748619608891507, 0.07100771501970787, -0.02240816166313986, -0.024290630016475915, -0.009481954723596572, -0.1440370997103552, 0.0026085251693924267, 0.05574135915686687, 0.14757165840050826, -0.04613953181232015, 0.10801937099701414, -0.19529903393394002, -0.23530735284090043, 0.49170625378688176, -0.04133845493507882, -0.26221842403834067, 0.16895728283872208, -0.11247523409935335, -0.2229793147104404, 0.03973768897354603, 0.20552774458192288, 0.08916182706753413, -0.18255999791125457, 0.2102943040112344, -0.09612319036697348, 0.1550612600520253, 0.026287592984735965, -0.006626997459679842, 0.24032193879286448, 0.13602982553032536, 0.060414739766468606, 0.019248155735743542, -0.037951766178011895, -0.12107179413239161, -0.37291805987556775, -0.07753364876533549, -0.05942321139077345, 0.04320483889760605, -0.09210206819678812, -0.09702598138401906, 0.43713638780017694, 0.20888647158940632, 0.18200092310706775, 0.02012493974218766, 0.26420757922964794, 0.0637674733872215, 0.07491319830607002, 0.02958552535623312, 0.28989307320366303, 0.059617411432166895, 0.13679701395332813, -0.2570881234505214, 0.020581297303239505, 0.08534515008330346] |
710.3706 | The Magellanic Clouds as a template for the study of stellar populations
and galaxy interactions | The Magellanic System represents one of the best places to study the
formation and evolution of galaxies. Photometric surveys of various depths,
areas and wavelengths have had a significant impact on our understanding of the
system; however, a complete picture is still lacking. VMC (the VISTA
near-infrared YJKs survey of the Magellanic System) will provide new data to
derive the spatially resolved star formation history and to construct a
three-dimensional map of the system. These data combined with those from other
ongoing and planned surveys will give us an absolutely unique view of the
system opening up the doors to truly new science!
| astro-ph | the magellanic system represents one of the best places to study the formation and evolution of galaxies photometric surveys of various depths areas and wavelengths have had a significant impact on our understanding of the system however a complete picture is still lacking vmc the vista nearinfrared yjks survey of the magellanic system will provide new data to derive the spatially resolved star formation history and to construct a threedimensional map of the system these data combined with those from other ongoing and planned surveys will give us an absolutely unique view of the system opening up the doors to truly new science | [['the', 'magellanic', 'system', 'represents', 'one', 'of', 'the', 'best', 'places', 'to', 'study', 'the', 'formation', 'and', 'evolution', 'of', 'galaxies', 'photometric', 'surveys', 'of', 'various', 'depths', 'areas', 'and', 'wavelengths', 'have', 'had', 'a', 'significant', 'impact', 'on', 'our', 'understanding', 'of', 'the', 'system', 'however', 'a', 'complete', 'picture', 'is', 'still', 'lacking', 'vmc', 'the', 'vista', 'nearinfrared', 'yjks', 'survey', 'of', 'the', 'magellanic', 'system', 'will', 'provide', 'new', 'data', 'to', 'derive', 'the', 'spatially', 'resolved', 'star', 'formation', 'history', 'and', 'to', 'construct', 'a', 'threedimensional', 'map', 'of', 'the', 'system', 'these', 'data', 'combined', 'with', 'those', 'from', 'other', 'ongoing', 'and', 'planned', 'surveys', 'will', 'give', 'us', 'an', 'absolutely', 'unique', 'view', 'of', 'the', 'system', 'opening', 'up', 'the', 'doors', 'to', 'truly', 'new', 'science']] | [-0.11919063721213816, 0.009362752012624768, -0.13508422641101683, 0.04138696038738363, -0.1199073174118417, -0.04932214519985526, 0.06293934400112015, 0.3544173617169116, -0.24642525134761864, -0.34126670265714953, 0.10842046776766102, -0.2908550896501006, -0.0676877431987414, 0.24296956500366276, -0.05012182420282399, -0.007599202138416975, 0.11808285738332468, -0.09442929716897197, -0.02126893102308934, -0.2870799814287609, 0.28901155928638084, 0.0720493213490592, 0.20124462888874475, -0.008212144727348486, 0.07575070510112039, -0.07380409423686854, -0.12748231524511158, -0.03644360921083434, -0.19020108909807304, 0.13105161438607926, 0.24795301911620043, 0.16411462203979274, 0.2525326239975911, -0.4006852927319344, -0.19571012729164033, 0.06607776665065473, 0.16421801776589048, 0.08718352137332402, -0.04985672917818307, -0.3140346531855684, 0.010950737262090433, -0.15097119704621292, -0.2041268018481222, -0.04296690418195088, 0.033694417848821406, 0.03878400613241874, -0.20199975815151808, 0.029325048344264044, -0.014261463602769722, 0.11166633282634385, -0.123207501275917, -0.09556858163684136, -0.016840737474657305, 0.200185703145322, -0.058287087658384036, 0.11121816113613799, 0.08701054920166622, -0.18398240252027234, -0.06508174213101563, 0.4167831328525705, -0.047190379229310936, -0.017763500061175486, 0.25195680695215183, -0.21613426072504913, -0.17459407257531018, 0.1179017195245251, 0.18594847781610793, 0.08873590371273096, -0.2337224694800753, 0.024757982102828553, -0.016883809639376055, 0.1821761992081855, -0.00485232344023811, 0.11539234708343606, 0.33892912169900336, 0.19474479349474738, 0.1000192420109564, 0.12293034203370888, -0.1864968844106222, -0.0806262591238884, -0.26025801590526276, -0.12041392300314116, -0.10884201111615573, 0.0829415509745126, -0.049289942194043104, -0.13815353740259861, 0.3578693847199088, 0.17530039501674835, 0.17591742168460944, 0.03985546392759363, 0.2976235547509876, 0.012890790070370925, 0.11164696037190631, 0.013326379972356327, 0.2825626437235804, 0.09709115938997818, 0.1405547317049638, -0.1871271394803505, 0.0561099157700297, -0.01956728424366057] |
710.3707 | Intrinsic avalanches and collective phenomena in a Mn(II)-free radical
ferrimagnetic chain | Magnetic hysteresis loops below 300 mK on single crystals of the Mn(II) -
nitronyl nitroxide free radical chain (Mn(hfac)_2({\it R})-3MLNN) present
abrupt reversals of the magnetization, or avalanches. We show that, below 200
mK, the avalanches occur at a constant field, independent of the sample and so
propose that this avalanche field is an intrinsic property. We compare this
field to the energy barrier existing in the sample and conclude that the
avalanches are provoked by multiple nucleation of domain-walls along the
chains. The different avalanche field observed in the zero field cooled
magnetization curves suggests that the avalanche mechanisms are related to the
competition between ferromagnetic and antiferromagnetic order in this compound.
| cond-mat.mtrl-sci cond-mat.other | magnetic hysteresis loops below 300 mk on single crystals of the mnii nitronyl nitroxide free radical chain mnhfac_2it r3mlnn present abrupt reversals of the magnetization or avalanches we show that below 200 mk the avalanches occur at a constant field independent of the sample and so propose that this avalanche field is an intrinsic property we compare this field to the energy barrier existing in the sample and conclude that the avalanches are provoked by multiple nucleation of domainwalls along the chains the different avalanche field observed in the zero field cooled magnetization curves suggests that the avalanche mechanisms are related to the competition between ferromagnetic and antiferromagnetic order in this compound | [['magnetic', 'hysteresis', 'loops', 'below', '300', 'mk', 'on', 'single', 'crystals', 'of', 'the', 'mnii', 'nitronyl', 'nitroxide', 'free', 'radical', 'chain', 'mnhfac_2it', 'r3mlnn', 'present', 'abrupt', 'reversals', 'of', 'the', 'magnetization', 'or', 'avalanches', 'we', 'show', 'that', 'below', '200', 'mk', 'the', 'avalanches', 'occur', 'at', 'a', 'constant', 'field', 'independent', 'of', 'the', 'sample', 'and', 'so', 'propose', 'that', 'this', 'avalanche', 'field', 'is', 'an', 'intrinsic', 'property', 'we', 'compare', 'this', 'field', 'to', 'the', 'energy', 'barrier', 'existing', 'in', 'the', 'sample', 'and', 'conclude', 'that', 'the', 'avalanches', 'are', 'provoked', 'by', 'multiple', 'nucleation', 'of', 'domainwalls', 'along', 'the', 'chains', 'the', 'different', 'avalanche', 'field', 'observed', 'in', 'the', 'zero', 'field', 'cooled', 'magnetization', 'curves', 'suggests', 'that', 'the', 'avalanche', 'mechanisms', 'are', 'related', 'to', 'the', 'competition', 'between', 'ferromagnetic', 'and', 'antiferromagnetic', 'order', 'in', 'this', 'compound']] | [-0.1667627775448967, 0.27492965997358126, -0.020252247844738037, 0.051556127286643126, -0.01781534194438295, -0.11373928021216258, 0.06131724031769078, 0.4184092579240149, -0.2710055935111913, -0.291607979668135, 0.04032562415814027, -0.29154743892564017, -0.07281497412318871, 0.17394684476735578, 0.027050253249366173, -0.03400877772576429, -0.04017307142388414, 0.03682462378320369, -0.011881281998516484, -0.2052196033129638, 0.2757437813688408, 0.025361137553541496, 0.33303822439841246, 0.04879765972251665, 0.08713066712529823, -0.03875907243187116, 0.09755787044890564, 0.04681615395979448, -0.18167048418518705, 0.01520982480565594, 0.2054057276088067, -0.058936237067113824, 0.18317064331336455, -0.46727646992221705, -0.20212294445796447, 0.07920822522560643, 0.14328322640027513, 0.09821316508406942, -0.041625351396346974, -0.22258099044927143, 0.08365921351889317, -0.10621614269912243, -0.13232302669126841, -0.01244058301249011, -0.022751963573550298, 0.05740184468132528, -0.2185539591888135, 0.10194704642688686, 0.12970299683511258, 0.15270651623352685, -0.05922053057531064, -0.09234563213011081, -0.013089267759245227, 0.04882195753426376, 0.08681712853933939, 0.05749764626168392, 0.22069493973712354, -0.10358803335164504, -0.14373986556469887, 0.26117720583623105, -0.05513281201287596, -0.027055627188052645, 0.1542213153242218, -0.22444550255736845, -0.07639614200134846, 0.23386277344755152, 0.10591593962162733, 0.07347697830674323, -0.1370923842568035, 0.042470030624694614, 0.01109694932291115, 0.17043353226035834, 0.04682450703429905, -0.02084141361781142, 0.22632310706487094, 0.158099635978314, 0.02191506846045906, 0.1829616133848586, -0.1525634801629084, -0.09361263103174595, -0.29167598291691815, -0.18464243656913326, -0.16718023705550217, 0.07034682702611793, -0.08153189540885664, -0.17957566233182495, 0.3815803664313121, 0.1936161423702701, 0.19943124916065824, -0.010828139469958841, 0.2274268298155882, 0.0860103236680681, 0.11429439744785089, 0.0682805211156268, 0.22844999237726865, 0.1647095470583405, 0.15195798547515138, -0.27697435012933885, 0.08058681766587225, -0.026737784696954557] |
710.3708 | What we have learned so far from 3-fluid hydrodynamics | Available data on heavy-ion collisions at AGS and SPS energies are analyzed
using a 3-fluid dynamical model within a purely hadronic scenario. We
investigate the problems met in reproducing these data within this scheme. In
particular, we try to indicate those data which could point towards the
occurrence of a phase transition into the quark-gluon phase. We also discuss
the success of the model in reproducing the transverse-mass spectra of various
hadrons. We argue that the simultaneous reproduction of the inverse-slope
parameters of all considered particles may imply that these particles belong to
the same hydrodynamic flow at the instant of their freeze-out rather than that
it signals the onset of a phase transition.
| nucl-th hep-ph | available data on heavyion collisions at ags and sps energies are analyzed using a 3fluid dynamical model within a purely hadronic scenario we investigate the problems met in reproducing these data within this scheme in particular we try to indicate those data which could point towards the occurrence of a phase transition into the quarkgluon phase we also discuss the success of the model in reproducing the transversemass spectra of various hadrons we argue that the simultaneous reproduction of the inverseslope parameters of all considered particles may imply that these particles belong to the same hydrodynamic flow at the instant of their freezeout rather than that it signals the onset of a phase transition | [['available', 'data', 'on', 'heavyion', 'collisions', 'at', 'ags', 'and', 'sps', 'energies', 'are', 'analyzed', 'using', 'a', '3fluid', 'dynamical', 'model', 'within', 'a', 'purely', 'hadronic', 'scenario', 'we', 'investigate', 'the', 'problems', 'met', 'in', 'reproducing', 'these', 'data', 'within', 'this', 'scheme', 'in', 'particular', 'we', 'try', 'to', 'indicate', 'those', 'data', 'which', 'could', 'point', 'towards', 'the', 'occurrence', 'of', 'a', 'phase', 'transition', 'into', 'the', 'quarkgluon', 'phase', 'we', 'also', 'discuss', 'the', 'success', 'of', 'the', 'model', 'in', 'reproducing', 'the', 'transversemass', 'spectra', 'of', 'various', 'hadrons', 'we', 'argue', 'that', 'the', 'simultaneous', 'reproduction', 'of', 'the', 'inverseslope', 'parameters', 'of', 'all', 'considered', 'particles', 'may', 'imply', 'that', 'these', 'particles', 'belong', 'to', 'the', 'same', 'hydrodynamic', 'flow', 'at', 'the', 'instant', 'of', 'their', 'freezeout', 'rather', 'than', 'that', 'it', 'signals', 'the', 'onset', 'of', 'a', 'phase', 'transition']] | [-0.09935225629602122, 0.18205745784829544, -0.15356466676050848, 0.10696981396769231, 0.0072357386043624934, -0.08143917532674803, 0.02470110803512873, 0.36974827683967565, -0.21857252911112346, -0.2656769488600239, 0.057427073154079245, -0.28522278108856586, -0.048682280280421264, 0.13520474160353826, 0.03375216235207541, 0.04128280860594416, 0.08211833069954001, 0.038136490225066655, -0.07122105812801736, -0.18581358518088814, 0.34343861865159947, 0.07209226104999537, 0.24225796254730858, 0.07535061129138071, 0.06750722385559693, -0.023189837735278152, 0.005073590640934695, 0.0008747304946316027, -0.14213203486003367, 0.04478346472796654, 0.2521565816575348, 0.1140327982468514, 0.1852079786636364, -0.43016132409066227, -0.24445812939048078, 0.14574474576588686, 0.13559611154662496, 0.13763240409862515, -0.06479417060659498, -0.24916725943639742, 0.07625723517689426, -0.16158310624366973, -0.13369242074709814, -0.04723920430823238, -0.03981025881274084, 0.030727932939462497, -0.2604535288812049, 0.0947819672124687, 0.02146426184706604, 0.028166849545277324, -0.08488157393608604, -0.12771659791964082, -0.0448526416779537, 0.0917163775096425, 0.0487883524697241, 0.006101668655225365, 0.12111091787413801, -0.1594180991384819, -0.09353592822872168, 0.43960972964368034, -0.020606123415399878, -0.09560300846814912, 0.22184691267434212, -0.20023021690621642, -0.17089944789845463, 0.158016588722265, 0.22072521705526563, 0.09051881877260398, -0.1759512464112017, -0.003544179739665438, -0.016262999051703815, 0.12384082293019433, 0.021996117411263748, 0.03794017991677454, 0.20942872006083485, 0.1735706870810879, -0.05477788913747774, 0.10723659279138113, -0.0827534999801423, -0.12830131806729905, -0.36266834055747327, -0.1051717319616438, -0.159041499200821, -0.02537144188958723, -0.08403581032615497, -0.1035511984934915, 0.41055568832547, 0.19661355715562318, 0.2770078687936859, 0.016542103455764595, 0.2576835143866133, 0.08840941689677734, 0.05456971394648132, 0.0860123559791364, 0.2935559627295068, 0.07359380644243375, 0.15246546887730833, -0.23871409271398675, 0.06766762080256193, 0.05225138783257092] |
710.3709 | On measuring standards in Weyl's geometry | In Weyl's geometry the nonintegrability problem and difficulties in defining
measuring standards are reconsidered. Approaches removing the nonintegrability
of lengthin in the interior of atoms are given, so that atoms may serve as
measuring standards. The Weyl space become a well founded framework for
classical theories of gravitation and electromagnetism,
| gr-qc | in weyls geometry the nonintegrability problem and difficulties in defining measuring standards are reconsidered approaches removing the nonintegrability of lengthin in the interior of atoms are given so that atoms may serve as measuring standards the weyl space become a well founded framework for classical theories of gravitation and electromagnetism | [['in', 'weyls', 'geometry', 'the', 'nonintegrability', 'problem', 'and', 'difficulties', 'in', 'defining', 'measuring', 'standards', 'are', 'reconsidered', 'approaches', 'removing', 'the', 'nonintegrability', 'of', 'lengthin', 'in', 'the', 'interior', 'of', 'atoms', 'are', 'given', 'so', 'that', 'atoms', 'may', 'serve', 'as', 'measuring', 'standards', 'the', 'weyl', 'space', 'become', 'a', 'well', 'founded', 'framework', 'for', 'classical', 'theories', 'of', 'gravitation', 'and', 'electromagnetism']] | [-0.13475240334868432, 0.1369071177393198, -0.08319394174963236, 0.1080646426603198, -0.10447260648477823, -0.18811593822203576, 0.013558619115501642, 0.2704011841863394, -0.2632088804244995, -0.2839786861091852, 0.06612133144866675, -0.28067066034302113, -0.1369938956014812, 0.1914904522895813, -0.11978382160887122, 0.05483998138457537, -0.0039513474493287504, 0.009919061250984669, -0.09257724232506007, -0.21668055615387857, 0.3424185399711132, 0.07085460603237152, 0.2599664536677301, 0.03720464987680316, 0.06693120547570289, -0.013178928443230688, -0.04692729581496678, 0.06367520307132508, -0.05267719755487633, 0.1351668148371391, 0.29454318579286337, 0.15591457977890968, 0.2697350624203682, -0.4550918523967266, -0.24968729585409163, 0.0710342807136476, 0.13505581319332122, 0.13431551104411482, -0.02996019074227661, -0.3201370133087039, -0.01924304412677884, -0.1100609263125807, -0.18716920053586364, -0.07175861642695963, 0.03968614190816879, 0.0004853228852152824, -0.16142411261796952, 0.04795789326075464, 0.06768454649718478, 0.11974771248176694, -0.10367438457906246, -0.10582222908735275, 0.03482506009284407, 0.15163450396619738, 0.04877256404608488, 0.004891415843740105, 0.129946264969185, -0.12390025365166366, -0.11542856495827436, 0.48232225206680596, -0.05430802271701395, -0.2350097519159317, 0.14776289489585906, -0.08342083926312625, -0.1263273188099265, -0.00133004954084754, 0.09614788265898824, 0.10410869269631803, -0.1432744763419032, 0.1434715369879268, 0.0059111722651869055, 0.04584853403270245, 0.14250733587890863, 0.09421584957279265, 0.29362881657667456, 0.12300363081041724, 0.029652259247377515, 0.046741250092163684, -0.023675909033045173, -0.11725197441875934, -0.35933234870433806, -0.18837477680295706, -0.2067922551650554, 0.02423161984886974, -0.04571361971029546, -0.18612737856805325, 0.29632314436836166, 0.12383426461019553, 0.12768490474671126, -0.03795903765596449, 0.26027812764048575, 0.10855294656823389, 0.05605549305677414, 0.056089739482849836, 0.3118130913376808, 0.18224603421986102, 0.10719064082950354, -0.16055435601621867, -0.000999140703352168, 0.1432479641214013] |
710.371 | Some forgotten features of the Bose Einstein Correlations | Notwithstanding the visible maturity of the subject of Bose-Einstein
Correlations (BEC), as witnessed nowadays, we would like to bring to ones
attention two points, which apparently did not received attention they deserve:
the problem of the choice of the form of $C_2(Q)$ correlation function when
effects of partial coherence of the hadronizing source are to be included and
the feasibility to model effects of Bose-Einstein statistics, in particular the
BEC, by direct numerical simulations.
| hep-ph nucl-th | notwithstanding the visible maturity of the subject of boseeinstein correlations bec as witnessed nowadays we would like to bring to ones attention two points which apparently did not received attention they deserve the problem of the choice of the form of c_2q correlation function when effects of partial coherence of the hadronizing source are to be included and the feasibility to model effects of boseeinstein statistics in particular the bec by direct numerical simulations | [['notwithstanding', 'the', 'visible', 'maturity', 'of', 'the', 'subject', 'of', 'boseeinstein', 'correlations', 'bec', 'as', 'witnessed', 'nowadays', 'we', 'would', 'like', 'to', 'bring', 'to', 'ones', 'attention', 'two', 'points', 'which', 'apparently', 'did', 'not', 'received', 'attention', 'they', 'deserve', 'the', 'problem', 'of', 'the', 'choice', 'of', 'the', 'form', 'of', 'c_2q', 'correlation', 'function', 'when', 'effects', 'of', 'partial', 'coherence', 'of', 'the', 'hadronizing', 'source', 'are', 'to', 'be', 'included', 'and', 'the', 'feasibility', 'to', 'model', 'effects', 'of', 'boseeinstein', 'statistics', 'in', 'particular', 'the', 'bec', 'by', 'direct', 'numerical', 'simulations']] | [-0.12175546479537278, 0.1167487983176535, -0.09385600476525724, 0.08930596593465354, -0.08510999585426338, -0.11953399448680717, 0.04795206021014098, 0.3704740681962387, -0.24062845669686794, -0.26530878077814907, 0.07942953540761075, -0.3155128699853211, -0.09904345025534968, 0.1935187259852584, -0.011930919050968982, 0.0818038539633759, 0.04386258927941624, 0.039500968650335797, -0.08478545662600899, -0.30464567105613044, 0.3346648863894311, 0.061777213635159076, 0.27044010617317177, 0.11781135677183802, 0.04840212497809852, -0.007811727304313634, -0.021826076245791203, 0.020921730231871275, -0.09492668837019419, 0.06305250388450569, 0.23849665630306746, 0.11626724117888591, 0.3289693647152367, -0.46630590444279685, -0.22626918054664055, 0.15824568459789293, 0.18098684058625353, 0.1329985719875785, -0.05083526619332465, -0.30791919705193693, -0.011249018245458452, -0.1896870975898629, -0.1064529941304008, -0.05680707543836655, 0.030478325213079114, 0.04952709616564617, -0.23905476810083398, 0.07192260178586317, 0.08638039282586023, 0.03556344166045656, -0.013617974057843958, -0.10029200435540564, -0.006524702984648143, 0.12486828959938705, 0.09454705009734057, 0.006034363036018771, 0.09745053296304636, -0.19749246099712076, -0.05280192639298007, 0.4209863748149695, -0.03984232264495379, -0.18991821242899104, 0.16353679288531076, -0.17558417372984458, -0.08815433830652084, 0.1331574825846867, 0.18768209805460395, 0.04778717116868073, -0.11048714482839804, 0.001722646876383019, -0.030287153684578183, 0.16373479876012817, 0.040176447625649536, 0.12797487844285127, 0.2682216360447677, 0.13021044959817585, -0.030147302039974445, 0.16782019439474302, -0.06564666814095266, -0.1609985217187755, -0.2566286359938818, -0.0993064573173084, -0.17635038795855804, 0.031457715356491216, 0.014537764181629944, -0.15013296333160503, 0.3557547441954297, 0.16709910947326068, 0.18109238958237944, -0.009785949326485294, 0.25255758283861185, 0.10830038815982186, 0.08769274754794841, -0.0368743236302524, 0.2959663077836504, 0.1361983489540934, 0.12330990146241479, -0.22754188279646473, 0.07719305206744655, 0.010821945207017297] |
710.3711 | Rational subsets of polycyclic monoids and valence automata | We study the classes of languages defined by valence automata with rational
target sets (or equivalently, regular valence grammars with rational target
sets), where the valence monoid is drawn from the important class of polycyclic
monoids. We show that for polycyclic monoids of rank 2 or more, such automata
accept exactly the context-free languages. For the polycyclic monoid of rank 1
(that is, the bicyclic monoid), they accept a class of languages strictly
including the partially blind one-counter languages. Key to the proof is a
description of the rational subsets of polycyclic and bicyclic monoids, other
consequences of which include the decidability of the rational subset
membership problem for these monoids, and the closure of the class of rational
subsets under intersection and complement.
| math.RA | we study the classes of languages defined by valence automata with rational target sets or equivalently regular valence grammars with rational target sets where the valence monoid is drawn from the important class of polycyclic monoids we show that for polycyclic monoids of rank 2 or more such automata accept exactly the contextfree languages for the polycyclic monoid of rank 1 that is the bicyclic monoid they accept a class of languages strictly including the partially blind onecounter languages key to the proof is a description of the rational subsets of polycyclic and bicyclic monoids other consequences of which include the decidability of the rational subset membership problem for these monoids and the closure of the class of rational subsets under intersection and complement | [['we', 'study', 'the', 'classes', 'of', 'languages', 'defined', 'by', 'valence', 'automata', 'with', 'rational', 'target', 'sets', 'or', 'equivalently', 'regular', 'valence', 'grammars', 'with', 'rational', 'target', 'sets', 'where', 'the', 'valence', 'monoid', 'is', 'drawn', 'from', 'the', 'important', 'class', 'of', 'polycyclic', 'monoids', 'we', 'show', 'that', 'for', 'polycyclic', 'monoids', 'of', 'rank', '2', 'or', 'more', 'such', 'automata', 'accept', 'exactly', 'the', 'contextfree', 'languages', 'for', 'the', 'polycyclic', 'monoid', 'of', 'rank', '1', 'that', 'is', 'the', 'bicyclic', 'monoid', 'they', 'accept', 'a', 'class', 'of', 'languages', 'strictly', 'including', 'the', 'partially', 'blind', 'onecounter', 'languages', 'key', 'to', 'the', 'proof', 'is', 'a', 'description', 'of', 'the', 'rational', 'subsets', 'of', 'polycyclic', 'and', 'bicyclic', 'monoids', 'other', 'consequences', 'of', 'which', 'include', 'the', 'decidability', 'of', 'the', 'rational', 'subset', 'membership', 'problem', 'for', 'these', 'monoids', 'and', 'the', 'closure', 'of', 'the', 'class', 'of', 'rational', 'subsets', 'under', 'intersection', 'and', 'complement']] | [-0.08453475264362961, 0.10391009432233629, 0.017510246314604076, 0.12058409818564542, -0.09813501036560704, -0.1504323158428193, 0.09417728436810355, 0.3862554473021338, -0.42239919586122154, -0.18893805146968412, 0.05792315055864052, -0.32457370259949275, -0.06086481586774631, 0.17367859060815985, -0.1013757853520914, -0.009409584031785809, 0.03191318131622768, 0.07812373536533766, -0.02069309799304803, -0.26111548116164013, 0.446018879256782, -0.0625731413357801, 0.2042366281722582, 0.04216831156865679, 0.039589581012185064, -0.014766837008327486, -0.052562262802835436, 0.06321998184636957, -0.09523704551376737, 0.139468621865343, 0.4090467431252041, 0.1754622035810063, 0.21577607972487325, -0.3690396256654734, -0.1283412612899537, 0.20215619474859728, 0.05037607244523843, 0.028212747231478832, -0.0028205962140242674, -0.26409999755466534, 0.11406518240654541, -0.2092922289683033, -0.06415675806197067, -0.018206472921695922, 0.09943986633912104, 0.06923158693450293, -0.23240158496980345, -0.0835162250610489, 0.18761010931789754, 0.15794261596390918, -0.04950977591403399, -0.17808051752076753, -0.054284671021084634, 0.11099376768669894, -0.017246086869554055, -0.021589232929756924, 0.08604530706971643, -0.0876155964384276, -0.19878547262370347, 0.4609331552900614, 0.00912298028537583, -0.19854198885150254, 0.22667724494972535, -0.14253316565431776, -0.20649628550745547, 0.18004728695227495, 0.06741762847729749, 0.16518172899293038, -0.04356477379558548, 0.17822234609188708, -0.2180311787730804, 0.19421839710482727, 0.14531860252722137, 0.05661044083535671, 0.17256628331022278, 0.11970697581062033, 0.057505588467803695, 0.1830576925370429, 0.06348330723572403, -0.002139932832740728, -0.2928433498638051, -0.13642016263873946, -0.09956179016209658, 0.06067160296914799, -0.0660446803382412, -0.27244168667182805, 0.37542665233805533, 0.06842587937060143, 0.022536965169673486, 0.2186746051198908, 0.18482403829693794, 0.02807368854466345, 0.07600637000700038, 0.07495887718358708, 0.015090304344231564, 0.16209353878530824, -0.07219776608079913, -0.16055467277352187, 0.082746239555549, 0.22109587046678267] |
710.3712 | The Milky Way's Kiloparsec Scale Wind: A Hybrid Cosmic-Ray and Thermally
Driven Outflow | We apply a wind model, driven by combined cosmic-ray and thermal-gas
pressure, to the Milky Way, and show that the observed Galactic diffuse soft
X-ray emission can be better explained by a wind than by previous static gas
models. We find that cosmic-ray pressure is essential to driving the observed
wind. Having thus defined a "best-fit" model for a Galactic wind, we explore
variations in the base parameters and show how the wind's properties vary with
changes in gas pressure, cosmic-ray pressure and density. We demonstrate the
importance of cosmic rays in launching winds, and the effect cosmic rays have
on wind dynamics. In addition, this model adds support to the hypothesis of
Breitschwerdt and collaborators that such a wind may help explain the
relatively small gradient observed in gamma-ray emission as a function of
galactocentric radius.
| astro-ph | we apply a wind model driven by combined cosmicray and thermalgas pressure to the milky way and show that the observed galactic diffuse soft xray emission can be better explained by a wind than by previous static gas models we find that cosmicray pressure is essential to driving the observed wind having thus defined a bestfit model for a galactic wind we explore variations in the base parameters and show how the winds properties vary with changes in gas pressure cosmicray pressure and density we demonstrate the importance of cosmic rays in launching winds and the effect cosmic rays have on wind dynamics in addition this model adds support to the hypothesis of breitschwerdt and collaborators that such a wind may help explain the relatively small gradient observed in gammaray emission as a function of galactocentric radius | [['we', 'apply', 'a', 'wind', 'model', 'driven', 'by', 'combined', 'cosmicray', 'and', 'thermalgas', 'pressure', 'to', 'the', 'milky', 'way', 'and', 'show', 'that', 'the', 'observed', 'galactic', 'diffuse', 'soft', 'xray', 'emission', 'can', 'be', 'better', 'explained', 'by', 'a', 'wind', 'than', 'by', 'previous', 'static', 'gas', 'models', 'we', 'find', 'that', 'cosmicray', 'pressure', 'is', 'essential', 'to', 'driving', 'the', 'observed', 'wind', 'having', 'thus', 'defined', 'a', 'bestfit', 'model', 'for', 'a', 'galactic', 'wind', 'we', 'explore', 'variations', 'in', 'the', 'base', 'parameters', 'and', 'show', 'how', 'the', 'winds', 'properties', 'vary', 'with', 'changes', 'in', 'gas', 'pressure', 'cosmicray', 'pressure', 'and', 'density', 'we', 'demonstrate', 'the', 'importance', 'of', 'cosmic', 'rays', 'in', 'launching', 'winds', 'and', 'the', 'effect', 'cosmic', 'rays', 'have', 'on', 'wind', 'dynamics', 'in', 'addition', 'this', 'model', 'adds', 'support', 'to', 'the', 'hypothesis', 'of', 'breitschwerdt', 'and', 'collaborators', 'that', 'such', 'a', 'wind', 'may', 'help', 'explain', 'the', 'relatively', 'small', 'gradient', 'observed', 'in', 'gammaray', 'emission', 'as', 'a', 'function', 'of', 'galactocentric', 'radius']] | [-0.07914109641826465, 0.16307202594436923, -0.07513569059836514, 0.14364981957752368, -0.08244678766470101, -0.0352823823761676, 0.029630219325875205, 0.42534805768552947, -0.2605444681145908, -0.3502150824026424, -0.012244958756662741, -0.26798116475316314, -0.06248101867009502, 0.23025888433125252, -0.019979169492965892, -0.03230373978786862, 0.019075822756242228, -0.08423571118413854, -0.01481647568032392, -0.19047607595326982, 0.2981689630473471, 0.15634118780658088, 0.17759797442875638, 0.05157037467271199, 0.09347642300075248, -0.1188860890791094, -0.0308491901600706, 0.035510628990938556, -0.09947000845819703, 0.07304310323444738, 0.15610889363332556, 0.12310488469323472, 0.19921625568189055, -0.43915047837585647, -0.357592619223664, 0.07780432928805514, 0.17290178224656677, 0.008090436708538191, -0.09689462942033596, -0.20882254625287125, 0.035120304482167256, -0.2422013705894214, -0.20331002723918679, -0.0021887219439068917, -0.017490750356741688, 0.08553457781967796, -0.2480774179498172, 0.09342330552103437, 0.024553108523832634, 0.07305668315658455, -0.14538078494575424, -0.048609288447016084, -0.047673401265295554, 0.03961712254129131, 0.1094412031225682, 0.08375629879575332, 0.23580296268525724, -0.1268819451695034, -0.042423817976240945, 0.4192647362018333, -0.10682250329120828, -0.07986256647992003, 0.21298704488778158, -0.22599529645573485, -0.1428385023643975, 0.1281798329317312, 0.19836501636788906, 0.05189489550642012, -0.14392554068677677, 0.036915604224572345, -0.023897125128903154, 0.17219594388049753, 0.03745666937217774, -0.03903847200340619, 0.2936172175275929, 0.12354943476127707, 0.05397975109414855, 0.11698637521390885, -0.1849667362317525, -0.004937609166304088, -0.22695754915612804, -0.0948201281562968, -0.1053975275341038, 0.06236983285463579, -0.11506791984228425, -0.12733085793682702, 0.34998248299405743, 0.18939035112014288, 0.234705294305219, -0.006827644488486626, 0.33840007883126794, 0.07901386130858074, 0.03664470098310096, 0.18304882794687086, 0.3247357477529851, 0.1386219971361296, 0.10636738281327245, -0.25892769592225223, 0.14804256439589047, -0.00035802786142620095] |
710.3713 | Quasi-gaussian velocity distribution of a vibrated granular bilayer
system | We show by using a Discrete Element Method that a bilayer of vibrated
granular bidisperse spheres exhibits the striking feature that the horizontal
velocity distribution of the top layer particles has a quasi-Gaussian shape,
whereas that of the bottom layer is far from Gaussian. We examine in detail the
relevance of all physical parameters (acceleration of the bottom plate, mass
ratio, layer coverage). Moreover, a microscopic analysis of the trajectories
and the collision statistics reveal how the mechanism of randomization.
| cond-mat.soft | we show by using a discrete element method that a bilayer of vibrated granular bidisperse spheres exhibits the striking feature that the horizontal velocity distribution of the top layer particles has a quasigaussian shape whereas that of the bottom layer is far from gaussian we examine in detail the relevance of all physical parameters acceleration of the bottom plate mass ratio layer coverage moreover a microscopic analysis of the trajectories and the collision statistics reveal how the mechanism of randomization | [['we', 'show', 'by', 'using', 'a', 'discrete', 'element', 'method', 'that', 'a', 'bilayer', 'of', 'vibrated', 'granular', 'bidisperse', 'spheres', 'exhibits', 'the', 'striking', 'feature', 'that', 'the', 'horizontal', 'velocity', 'distribution', 'of', 'the', 'top', 'layer', 'particles', 'has', 'a', 'quasigaussian', 'shape', 'whereas', 'that', 'of', 'the', 'bottom', 'layer', 'is', 'far', 'from', 'gaussian', 'we', 'examine', 'in', 'detail', 'the', 'relevance', 'of', 'all', 'physical', 'parameters', 'acceleration', 'of', 'the', 'bottom', 'plate', 'mass', 'ratio', 'layer', 'coverage', 'moreover', 'a', 'microscopic', 'analysis', 'of', 'the', 'trajectories', 'and', 'the', 'collision', 'statistics', 'reveal', 'how', 'the', 'mechanism', 'of', 'randomization']] | [-0.10622817567782476, 0.16078883081208914, -0.1385304321302101, 0.013549546893045772, -0.013405214168597013, -0.10434917914681137, 0.05884818077320233, 0.3720477258320898, -0.2725258949911222, -0.2739690599264577, 0.03635315186547814, -0.2768288310035132, -0.13453632983728311, 0.13429661424597725, 0.01412423028377816, 0.07772131755482406, 0.0803741532668937, -0.0010687614587368444, -0.03749415978527395, -0.1504943582537635, 0.33070870612864384, 0.05183445304865018, 0.32485962943173946, 0.060212346570915544, 0.12190235697198659, -0.019503296999027954, 0.005219167133327573, 0.03473263168561971, -0.14639915297002518, 0.05176696413545869, 0.12599924991081934, 0.0005178483232157304, 0.2426509762997739, -0.40744219064945353, -0.24353322096867486, 0.020883739995770156, 0.14828751560999082, 0.06767672306450549, -0.08612306116847321, -0.22226107810856774, 0.07871673639165237, -0.14352798085310498, -0.14715565198566766, -0.009002732916269452, 0.004154178308090195, 0.03829560168087483, -0.24084748127497732, 0.12112495644250884, 0.10077494059223682, 0.0649444263195619, -0.041217656445223835, -0.11425845917547121, -0.10235714453738183, 0.10337159665068611, 0.055325666171847844, -0.046875724192796044, 0.21615152902668341, -0.1547079435607884, -0.04933406620984897, 0.39212523624300955, -0.07090946974640247, -0.22377445322927086, 0.19557677778648214, -0.16802775919786656, -0.0485225077776704, 0.14389688802766615, 0.20003567908424885, 0.09231149334082148, -0.13782818528125063, 0.049140255146630805, -0.1205944656743668, 0.2060029084677808, 0.09437358781287912, -0.027586752694332972, 0.21148150658700615, 0.2303687652340159, 0.02385580332484096, 0.17834267555736005, -0.19863068494742037, -0.12489567297161557, -0.3033992224140093, -0.17548213417830993, -0.18725108448707034, -0.021803133860521483, -0.12135238550235954, -0.20802712560398504, 0.4098058398347348, 0.13273209545295686, 0.25395989390090107, 0.023481819458538666, 0.29523608160670844, 0.0652673663571477, 0.0552483398700133, 0.07088102143607103, 0.2858174511231482, 0.13632304104976356, 0.12676965836435555, -0.1993057561950991, 0.08127694735885597, 0.06169391208095476] |
710.3714 | Updated Constraints from B Physics on the MSSM and the NMSSM | We update constraints from B physics observables on the parameters of the
MSSM and the NMSSM, combining them with LEP constraints. Presently available SM
and Susy radiative corrections are included in the calculations, which will be
made public in the form of a Fortran code. Results for the tan(beta) and
M_{H^+} dependence of b -> s gamma are presented, as well as constraints on the
NMSSM specific case of a light CP odd Higgs scalar. We find that the latter are
essentially due to B_s -> mu^+ mu^-, but they do not exclude this possibility.
| hep-ph | we update constraints from b physics observables on the parameters of the mssm and the nmssm combining them with lep constraints presently available sm and susy radiative corrections are included in the calculations which will be made public in the form of a fortran code results for the tanbeta and m_h dependence of b s gamma are presented as well as constraints on the nmssm specific case of a light cp odd higgs scalar we find that the latter are essentially due to b_s mu mu but they do not exclude this possibility | [['we', 'update', 'constraints', 'from', 'b', 'physics', 'observables', 'on', 'the', 'parameters', 'of', 'the', 'mssm', 'and', 'the', 'nmssm', 'combining', 'them', 'with', 'lep', 'constraints', 'presently', 'available', 'sm', 'and', 'susy', 'radiative', 'corrections', 'are', 'included', 'in', 'the', 'calculations', 'which', 'will', 'be', 'made', 'public', 'in', 'the', 'form', 'of', 'a', 'fortran', 'code', 'results', 'for', 'the', 'tanbeta', 'and', 'm_h', 'dependence', 'of', 'b', 's', 'gamma', 'are', 'presented', 'as', 'well', 'as', 'constraints', 'on', 'the', 'nmssm', 'specific', 'case', 'of', 'a', 'light', 'cp', 'odd', 'higgs', 'scalar', 'we', 'find', 'that', 'the', 'latter', 'are', 'essentially', 'due', 'to', 'b_s', 'mu', 'mu', 'but', 'they', 'do', 'not', 'exclude', 'this', 'possibility']] | [-0.09746575545048922, 0.1886800200758522, -0.025171808347666778, 0.15259400710478546, -0.12951659520346953, -0.2132230279166051, 0.08355959673081675, 0.3391048557936184, -0.2130750703164727, -0.31524293733540404, 0.06246263815981326, -0.2657493461043604, -0.0033234990332075345, 0.18768010234775684, 0.03258035118661581, 0.07703596693513695, 0.08978400027669806, -0.0038636364243043366, -0.07393599059607994, -0.29741285717295063, 0.2612629511684019, 0.031231821534694525, 0.11836743841488515, 0.09761930363983796, -0.03076694728005477, -0.02576157879284633, -0.06393620257656421, -0.05563792241837389, -0.1827901319269077, 0.06866365708210455, 0.19736318154040203, 0.13396785077789136, 0.09515393794744566, -0.31661275756214896, -0.14966467368386446, 0.1479141897251529, 0.13061242815487648, 0.08337995388560117, -0.03486427367084049, -0.30383538148085515, 0.07369889514220337, -0.18358721450892507, -0.04757619896397916, -0.09441588620745367, -0.036050522269340614, -0.07193378525315433, -0.3641649563045752, 0.04821363884094421, -0.019755282558210355, 0.010315418991267115, 0.013783405412248867, -0.21937855676577617, -0.10493775093877908, 0.023213875745373067, 0.15364923789316126, 0.014446908928534036, 0.15843634705074253, -0.1698349550922191, -0.12528944117773164, 0.46720042945416546, -0.09339734848829047, -0.20533949869023937, 0.1568457642119498, -0.19383090128621427, -0.18498233633515831, 0.09774588483075301, 0.1857235913855895, 0.08610438108344072, -0.15433874175513304, 0.2612867802362739, -0.042788624382948365, 0.15924161700631984, 0.03332958790543739, 0.07222918561729853, 0.2358977607481422, 0.11108475318679245, 0.030221182915572357, 0.038488870087300016, -0.06740782043417184, -0.06540677031522156, -0.4524767032514016, -0.10817237986221669, -0.0737645333552713, 0.035770493462057136, -0.04636049857416305, -0.08410052012812386, 0.33961114845919593, 0.13734600562567859, 0.2373910362641978, 0.031213765394353176, 0.30630859463996385, 0.04338814437098961, 0.1160818005308649, 0.05062192721575278, 0.30982171585883506, 0.08878153771342288, 0.11788006392007153, -0.2307134467222157, 0.013265405771552875, 0.009769208458883146] |
710.3715 | A fretting crack initiation prediction taking into account the surface
roughness and the crack nucleation process volume | This paper presents an experimental study of the fretting crack nucleation
threshold, expressed in terms of loading conditions, with a cylinder/plane
contact. The studied material is a damage tolerant aluminium alloy widely used
in the aerospace application. Since in industrial problems, the surface quality
is often variable, the impact of a unidirectional roughness is investigated via
varying the roughness of the counter body in the fretting experiments. As
expected, experimental results show a large effect of the contact roughness on
the crack nucleation conditions. Rationalisation of the crack nucleation
boundary independently of the studied roughnesses was successfully obtained by
introducing the concept of effective contact area. This does show that the
fretting crack nucleation of the studied material can be efficiently described
by the local effective loadings inside the contact. Analytical prediction of
the crack nucleation is presented with the Smith-Watson-Topper (SWT) parameter
and size effect is also studied and discussed.
| cond-mat.mtrl-sci | this paper presents an experimental study of the fretting crack nucleation threshold expressed in terms of loading conditions with a cylinderplane contact the studied material is a damage tolerant aluminium alloy widely used in the aerospace application since in industrial problems the surface quality is often variable the impact of a unidirectional roughness is investigated via varying the roughness of the counter body in the fretting experiments as expected experimental results show a large effect of the contact roughness on the crack nucleation conditions rationalisation of the crack nucleation boundary independently of the studied roughnesses was successfully obtained by introducing the concept of effective contact area this does show that the fretting crack nucleation of the studied material can be efficiently described by the local effective loadings inside the contact analytical prediction of the crack nucleation is presented with the smithwatsontopper swt parameter and size effect is also studied and discussed | [['this', 'paper', 'presents', 'an', 'experimental', 'study', 'of', 'the', 'fretting', 'crack', 'nucleation', 'threshold', 'expressed', 'in', 'terms', 'of', 'loading', 'conditions', 'with', 'a', 'cylinderplane', 'contact', 'the', 'studied', 'material', 'is', 'a', 'damage', 'tolerant', 'aluminium', 'alloy', 'widely', 'used', 'in', 'the', 'aerospace', 'application', 'since', 'in', 'industrial', 'problems', 'the', 'surface', 'quality', 'is', 'often', 'variable', 'the', 'impact', 'of', 'a', 'unidirectional', 'roughness', 'is', 'investigated', 'via', 'varying', 'the', 'roughness', 'of', 'the', 'counter', 'body', 'in', 'the', 'fretting', 'experiments', 'as', 'expected', 'experimental', 'results', 'show', 'a', 'large', 'effect', 'of', 'the', 'contact', 'roughness', 'on', 'the', 'crack', 'nucleation', 'conditions', 'rationalisation', 'of', 'the', 'crack', 'nucleation', 'boundary', 'independently', 'of', 'the', 'studied', 'roughnesses', 'was', 'successfully', 'obtained', 'by', 'introducing', 'the', 'concept', 'of', 'effective', 'contact', 'area', 'this', 'does', 'show', 'that', 'the', 'fretting', 'crack', 'nucleation', 'of', 'the', 'studied', 'material', 'can', 'be', 'efficiently', 'described', 'by', 'the', 'local', 'effective', 'loadings', 'inside', 'the', 'contact', 'analytical', 'prediction', 'of', 'the', 'crack', 'nucleation', 'is', 'presented', 'with', 'the', 'smithwatsontopper', 'swt', 'parameter', 'and', 'size', 'effect', 'is', 'also', 'studied', 'and', 'discussed']] | [-0.11433095963050922, 0.15165107097564032, -0.09172783500980586, 0.003487225085652123, -0.024921023035421968, -0.09466518555457393, 0.012190192268074801, 0.35179353897770244, -0.24975989426175754, -0.2950495949884256, 0.10466453197412193, -0.22387822774549326, -0.18680372337500253, 0.19471934778615832, -0.07304715128615498, 0.11003917700611054, 0.03356083685221772, -0.0013445408487071594, -0.02282157206131766, -0.23873241757974029, 0.28195414992515, 0.08580408746376633, 0.35649946774045627, 0.14507623109345635, 0.06699531313342352, 0.014894435208601257, 0.018741503072281677, 0.09026885536809762, -0.22827900673442247, 0.07307309976778925, 0.24352524197349945, -0.01907362712236742, 0.23591058422811328, -0.46386087470532705, -0.26692576710134747, -0.0009976505612333615, 0.10266635750575612, 0.09717291292113563, -0.05054096730581174, -0.26300008251176527, 0.061795968028406305, -0.12303825967479497, -0.16625643285061717, 0.03953469312982634, 0.01508378867370387, 0.03830950693693012, -0.2384898375843962, 0.06411188363194621, 0.03415425274676333, 0.08953826706701269, -0.07429849408566952, -0.08671839900004367, -0.03266566480820378, 0.079279639373223, 0.07270484667737037, -0.012573849530211494, 0.23841506455093622, -0.12819795419151583, -0.06318892006762326, 0.405779630895704, -0.01609473860822618, -0.1920928499265574, 0.1613191534280001, -0.10663598857820034, -0.03129826053356131, 0.16592510770385463, 0.16506992095460493, 0.09026519188812623, -0.17087656545763213, 0.05577228107572106, 0.014893280290222416, 0.12244386771926656, 0.1220378244187062, -0.10194267395573357, 0.12704539355045805, 0.27694323810438315, 0.0007780455487469832, 0.1994382278318517, -0.10923186920583249, -0.049011592228586476, -0.28855867670072866, -0.17253815858935317, -0.20506557149036478, 0.014763051298602173, -0.12754845097641615, -0.21123830900605148, 0.33994858832408986, 0.10307125485424573, 0.1621021535402785, -0.007528706321803232, 0.25102266933148104, 0.06998538197716699, 0.06985529807085793, 0.013353205223878225, 0.27327224364814656, 0.10559900872719785, 0.1046129239583388, -0.26606595314107834, 0.1887160806171596, 0.014813739544091126] |
710.3716 | The interplay between hydrodynamic and Brownian fluctuations in
sedimenting colloidal suspensions | We apply a hybrid Molecular Dynamics and mesoscopic simulation technique to
study the steady-state sedimentation of hard sphere particles for Peclet
numbers (Pe) ranging from 0.08 to 12. Hydrodynamic back-flow causes a reduction
of the average sedimentation velocity relative to the Stokes velocity. We find
that this effect is independent of Pe number. Velocity fluctuations show the
expected effects of thermal fluctuations at short correlation times. At longer
times, non-equilibrium hydrodynamic fluctuations are visible, and their
character appears to be independent of the thermal fluctuations. The
hydrodynamic fluctuations dominate the diffusive behavior even for modest Pe
number, while conversely the short-time fluctuations are dominated by thermal
effects for a surprisingly large Pe numbers. Inspired by recent experiments, we
also study finite sedimentation in a horizontal planar slit. In our simulations
distinct lateral patterns emerge, in agreement with observations in the
experiments.
| cond-mat.soft | we apply a hybrid molecular dynamics and mesoscopic simulation technique to study the steadystate sedimentation of hard sphere particles for peclet numbers pe ranging from 008 to 12 hydrodynamic backflow causes a reduction of the average sedimentation velocity relative to the stokes velocity we find that this effect is independent of pe number velocity fluctuations show the expected effects of thermal fluctuations at short correlation times at longer times nonequilibrium hydrodynamic fluctuations are visible and their character appears to be independent of the thermal fluctuations the hydrodynamic fluctuations dominate the diffusive behavior even for modest pe number while conversely the shorttime fluctuations are dominated by thermal effects for a surprisingly large pe numbers inspired by recent experiments we also study finite sedimentation in a horizontal planar slit in our simulations distinct lateral patterns emerge in agreement with observations in the experiments | [['we', 'apply', 'a', 'hybrid', 'molecular', 'dynamics', 'and', 'mesoscopic', 'simulation', 'technique', 'to', 'study', 'the', 'steadystate', 'sedimentation', 'of', 'hard', 'sphere', 'particles', 'for', 'peclet', 'numbers', 'pe', 'ranging', 'from', '008', 'to', '12', 'hydrodynamic', 'backflow', 'causes', 'a', 'reduction', 'of', 'the', 'average', 'sedimentation', 'velocity', 'relative', 'to', 'the', 'stokes', 'velocity', 'we', 'find', 'that', 'this', 'effect', 'is', 'independent', 'of', 'pe', 'number', 'velocity', 'fluctuations', 'show', 'the', 'expected', 'effects', 'of', 'thermal', 'fluctuations', 'at', 'short', 'correlation', 'times', 'at', 'longer', 'times', 'nonequilibrium', 'hydrodynamic', 'fluctuations', 'are', 'visible', 'and', 'their', 'character', 'appears', 'to', 'be', 'independent', 'of', 'the', 'thermal', 'fluctuations', 'the', 'hydrodynamic', 'fluctuations', 'dominate', 'the', 'diffusive', 'behavior', 'even', 'for', 'modest', 'pe', 'number', 'while', 'conversely', 'the', 'shorttime', 'fluctuations', 'are', 'dominated', 'by', 'thermal', 'effects', 'for', 'a', 'surprisingly', 'large', 'pe', 'numbers', 'inspired', 'by', 'recent', 'experiments', 'we', 'also', 'study', 'finite', 'sedimentation', 'in', 'a', 'horizontal', 'planar', 'slit', 'in', 'our', 'simulations', 'distinct', 'lateral', 'patterns', 'emerge', 'in', 'agreement', 'with', 'observations', 'in', 'the', 'experiments']] | [-0.16137976149519814, 0.25426915721928184, -0.1229702728925973, 0.0596307781072918, 0.021117830114003193, -0.07864540900559501, -0.014815377170576694, 0.31383688591671643, -0.2754764790574076, -0.30483466138112103, 0.03665949712368719, -0.2959330251493247, -0.0823623323350722, 0.20349096162707037, -0.00292664498143585, 0.005277582275819905, 0.05512835344395448, -0.05270765069541885, -0.02580227291852183, -0.17755511495555545, 0.22805162997097306, 0.0677799252852639, 0.28582496171922867, 0.05845382625355999, 0.06962541718339772, -0.02467338103431125, -0.04139306667551451, 0.11726869447222839, -0.192930838618527, 0.007031309438195635, 0.18713641136303438, -0.048292654641703306, 0.23251732410730938, -0.4571540447229401, -0.22543169095689522, 0.09846893722416027, 0.1638112714372126, 0.14201634880386504, -0.019457430054486486, -0.1913737145406095, 0.05728764679771683, -0.1447969143549707, -0.14432734596222666, -0.030695509437677213, 0.08058181310572879, 0.06963900796505985, -0.2530858369861194, 0.19791270409201284, 0.03762634198127871, 0.0912631279029322, -0.008666582124849371, -0.09626921788782727, -0.024720766850753775, 0.10764163263317145, 0.06822854963771946, -0.014378674939301209, 0.22178595948713362, -0.160187725854562, -0.062207911328283794, 0.37683014727877917, -0.11758164961571337, -0.15888884250101046, 0.2174467488104504, -0.2049759156830239, -0.09501113889388846, 0.238792484309128, 0.16675413378468112, 0.10851619947959293, -0.07967403261255182, 0.0013443546688369085, -0.020616801105545344, 0.18978303673690355, 0.05955206995651601, 0.0246841012799418, 0.2378578412458829, 0.1586086770341276, -0.019205942977853913, 0.14224228733103617, -0.16819900625504236, -0.12304519331545061, -0.26334482088605776, -0.11211996461456337, -0.17595343435420951, 0.08416982159573347, -0.12433615114506011, -0.14384214841291731, 0.31860217730785517, 0.18075123528705528, 0.17614455801164006, 0.08950360196622763, 0.28511406149688767, 0.09927808927415031, 0.03429309520969524, 0.06648508317897374, 0.23464231225430754, 0.14424014955111747, 0.1269136023268447, -0.30600377597106315, 0.03732612497150132, 0.00013860049558446762] |
710.3717 | A calculation of the bulk viscosity in SU(3) gluodynamics | We perform a lattice Monte-Carlo calculation of the trace-anomaly two-point
function at finite temperature in the SU(3) gauge theory. We obtain the
long-distance properties of the correlator in the continuum limit and extract
the bulk viscosity zeta via a Kubo formula. Unlike the tensor correlator
relevant to the shear viscosity, the scalar correlator depends strongly on
temperature. If s is the entropy density, we find that zeta/s becomes rapidly
small at high T, zeta/s<0.15 at 1.65T_c and zeta/s<0.015 at 3.2T_c. However
zeta/s rises dramatically just above T_c, with 0.5<zeta/s<2.0 at 1.02T_c.
| hep-lat hep-ph nucl-th | we perform a lattice montecarlo calculation of the traceanomaly twopoint function at finite temperature in the su3 gauge theory we obtain the longdistance properties of the correlator in the continuum limit and extract the bulk viscosity zeta via a kubo formula unlike the tensor correlator relevant to the shear viscosity the scalar correlator depends strongly on temperature if s is the entropy density we find that zetas becomes rapidly small at high t zetas015 at 165t_c and zetas0015 at 32t_c however zetas rises dramatically just above t_c with 05zetas20 at 102t_c | [['we', 'perform', 'a', 'lattice', 'montecarlo', 'calculation', 'of', 'the', 'traceanomaly', 'twopoint', 'function', 'at', 'finite', 'temperature', 'in', 'the', 'su3', 'gauge', 'theory', 'we', 'obtain', 'the', 'longdistance', 'properties', 'of', 'the', 'correlator', 'in', 'the', 'continuum', 'limit', 'and', 'extract', 'the', 'bulk', 'viscosity', 'zeta', 'via', 'a', 'kubo', 'formula', 'unlike', 'the', 'tensor', 'correlator', 'relevant', 'to', 'the', 'shear', 'viscosity', 'the', 'scalar', 'correlator', 'depends', 'strongly', 'on', 'temperature', 'if', 's', 'is', 'the', 'entropy', 'density', 'we', 'find', 'that', 'zetas', 'becomes', 'rapidly', 'small', 'at', 'high', 't', 'zetas015', 'at', '165t_c', 'and', 'zetas0015', 'at', '32t_c', 'however', 'zetas', 'rises', 'dramatically', 'just', 'above', 't_c', 'with', '05zetas20', 'at', '102t_c']] | [-0.1478634639095296, 0.21603960496209124, -0.13080499657046268, 0.04180689701837871, -0.015358760153107784, -0.1134831196792862, 0.06337541386567275, 0.3055846246945507, -0.23168854712344267, -0.19818986622507082, 0.061507876581676744, -0.3408293380552684, -0.06528698403990882, 0.14300685552880169, 0.10158862200401285, 0.037667451470213775, -0.03031043099814697, 0.0819707048289916, -0.16297749248607193, -0.21284266656593365, 0.30089154470821516, 0.02828203930026468, 0.30764663233147826, 0.17881941526909084, 0.06372784788117689, 0.022698035211685827, -0.018077982463600005, 0.031088893290828257, -0.17561701818083428, -0.020098410820698038, 0.22550128124216023, -0.010174654539236251, 0.17708314773352707, -0.3599575554185054, -0.1935666174901759, 0.05276892582392868, 0.11328450037330827, 0.09040822809123818, 0.07976397344267325, -0.17001008027616668, 0.09333334687878103, -0.1570215215029962, -0.1720304940840887, -0.11615708556354923, 0.04391617792494157, -0.06533241568489329, -0.2792731087435694, 0.197157763996545, -0.06540446819956688, 0.040856016032836014, -0.01492457633071086, -0.15569496055078857, -0.06242165272945867, 0.05738329826032414, 0.1130305751473369, 0.12443994596764883, 0.19712256396408467, -0.21455024442471127, 0.012107664422022508, 0.31250538358273094, -0.15691809552338193, -0.15355926504468217, 0.1650877025197534, -0.23035559426335728, -0.1562517445644035, 0.1305876436040682, 0.1005096261307378, 0.14448568913126913, -0.07784464646349935, 0.1447130659608828, -0.003631502774763195, 0.16252232092049193, 0.06994348683339709, 0.02583692323635606, 0.26091190860332814, 0.100768532795722, 0.02832291978685295, 0.17029530018129768, -0.06942936246119001, -0.05813315223135492, -0.35575273624237846, -0.14007090157966184, -0.2446848001331091, 0.07730063278885449, -0.15727308029822512, -0.20826222577734904, 0.3462591314797892, 0.15817970647202695, 0.20091098661959061, 0.12928749829092445, 0.27456783836378773, 0.2108223553363453, 0.0975148550234735, 0.12079503131372964, 0.22594476465601473, 0.1920717593309853, 0.16429684712715886, -0.30344754737418367, -0.023992060905541568, 0.1361555543152944] |
710.3718 | Weighted Sequences in Finite Cyclic Groups | Let $p>7$ be a prime, let $G=\Z/p\Z$, and let $S_1=\prod_{i=1}^p g_i$ and
$S_2=\prod_{i=1}^p h_i$ be two sequences with terms from $G$. Suppose that the
maximum multiplicity of a term from either $S_1$ or $S_2$ is at most
$\frac{2p+1}{5}$. Then we show that, for each $g\in G$, there exists a
permutation $\sigma$ of $1,2,..., p$ such that $g=\sum_{i=1}^{p}(g_i\cdot
h_{\sigma(i)})$. The question is related to a conjecture of A. Bialostocki
concerning weighted subsequence sums and the Erd\H{o}s-Ginzburg-Ziv Theorem.
| math.CO math.NT | let p7 be a prime let gzpz and let s_1prod_i1p g_i and s_2prod_i1p h_i be two sequences with terms from g suppose that the maximum multiplicity of a term from either s_1 or s_2 is at most frac2p15 then we show that for each gin g there exists a permutation sigma of 12 p such that gsum_i1pg_icdot h_sigmai the question is related to a conjecture of a bialostocki concerning weighted subsequence sums and the erdhosginzburgziv theorem | [['let', 'p7', 'be', 'a', 'prime', 'let', 'gzpz', 'and', 'let', 's_1prod_i1p', 'g_i', 'and', 's_2prod_i1p', 'h_i', 'be', 'two', 'sequences', 'with', 'terms', 'from', 'g', 'suppose', 'that', 'the', 'maximum', 'multiplicity', 'of', 'a', 'term', 'from', 'either', 's_1', 'or', 's_2', 'is', 'at', 'most', 'frac2p15', 'then', 'we', 'show', 'that', 'for', 'each', 'gin', 'g', 'there', 'exists', 'a', 'permutation', 'sigma', 'of', '12', 'p', 'such', 'that', 'gsum_i1pg_icdot', 'h_sigmai', 'the', 'question', 'is', 'related', 'to', 'a', 'conjecture', 'of', 'a', 'bialostocki', 'concerning', 'weighted', 'subsequence', 'sums', 'and', 'the', 'erdhosginzburgziv', 'theorem']] | [-0.16644716326346887, 0.17988927091604898, -0.09326423157139548, -0.009474620944820345, -0.018258603595729384, -0.187358447031251, -0.002520775449063097, 0.33444254635167975, -0.3327545873637843, -0.22909038831878986, 0.08987103288860193, -0.3540818455462743, -0.08508295048626938, 0.1849188761752365, -0.09051564432946699, -0.0818012685265525, 0.08081202781093973, 0.1746780907502398, -0.025127185544988606, -0.24646113465673158, 0.3242665827806507, -0.13598323915419833, 0.13844247609376908, 0.07744473234218147, 0.09618006181637091, 0.01556444366994713, 0.03886136803776026, 0.011395672712075923, -0.19310655673523017, 0.07046643688476512, 0.28305058819907053, 0.1498337266168424, 0.3130218035807567, -0.3124489303944366, -0.13493290264492055, 0.32393720028921963, 0.1559018869268974, -0.08201305332726666, -0.0048305342306516, -0.19968297949859073, 0.22311248876420514, -0.12457740152520792, -0.09732010812897768, 0.00034253674925171905, 0.13741482502913901, 0.03468830444118274, -0.36545773229694795, 0.013646477274596691, 0.10242674491767373, 0.07617310011493308, 0.027448961225205234, -0.18590708464117986, -0.060049821629322, 0.05280430804871555, 0.049954649985634855, 0.1648871182680263, -0.016663669349093524, -0.05267827464267612, -0.13215920598512249, 0.4156905736242022, -0.10560474778425746, -0.19539507587573357, 0.0626010002169226, -0.17224597401384797, -0.1736304122954607, 0.06530530241185001, 0.06248273480284427, 0.14923282678771232, -0.01751921601327402, 0.15503568803375986, -0.13992734836148366, 0.15162732867257936, 0.12671089296096139, -0.022682776077583965, 0.19419233719153065, 0.03498410339068089, 0.1144130195757108, 0.12784038920487675, 0.005193906902734723, 0.12537329782332693, -0.38108531806085794, -0.1277467106369191, -0.21287544973726782, 0.19463793651333877, -0.12745098692435672, -0.1379109472568546, 0.3476279431687934, 0.05280704093498311, 0.19310363977814893, 0.12591618887547937, 0.1561455294938891, 0.09892373784844365, 0.009173818819025265, 0.14691370747584317, -0.014425115606614521, 0.20587399395714914, -0.12101898584514856, -0.15982169213571717, 0.021001422199021492, 0.1585510325152427] |
710.3719 | A Neutrino Mass Matrix with Vanishing $\mu$--$\mu$ and $\tau$--$\tau$
Entries | We revisit our earlier proposal for the form of the neutrino mass matrix: a
two-zero ansatz wherein the CP-violating PMNS phase $\delta$ plays a
surprisingly important role. We review its observable consequences and show how
our ansatz follows from a softly-broken symmetry (muon number minus tau lepton
number) in a see-saw model with three Higgs doublets.
| hep-ph | we revisit our earlier proposal for the form of the neutrino mass matrix a twozero ansatz wherein the cpviolating pmns phase delta plays a surprisingly important role we review its observable consequences and show how our ansatz follows from a softlybroken symmetry muon number minus tau lepton number in a seesaw model with three higgs doublets | [['we', 'revisit', 'our', 'earlier', 'proposal', 'for', 'the', 'form', 'of', 'the', 'neutrino', 'mass', 'matrix', 'a', 'twozero', 'ansatz', 'wherein', 'the', 'cpviolating', 'pmns', 'phase', 'delta', 'plays', 'a', 'surprisingly', 'important', 'role', 'we', 'review', 'its', 'observable', 'consequences', 'and', 'show', 'how', 'our', 'ansatz', 'follows', 'from', 'a', 'softlybroken', 'symmetry', 'muon', 'number', 'minus', 'tau', 'lepton', 'number', 'in', 'a', 'seesaw', 'model', 'with', 'three', 'higgs', 'doublets']] | [-0.12940389852571701, 0.24745756960224494, -0.04102044646528417, 0.15935838651577278, -0.09593698289245367, -0.20330566250985221, 0.06865049679098385, 0.2818287655578128, -0.16539175889088906, -0.3043232968276633, 0.02105228956913509, -0.2575776635868741, -0.14042723521457187, 0.08997416327890408, 0.06015353267347174, 0.022790913153065567, 0.047368381633922194, 0.0010390491391132986, -0.13671320748315857, -0.20100665910701668, 0.3052408100338653, 0.002172503321032439, 0.2297995876994849, 0.033352203941571394, 0.07218369400860476, -0.0269106033540863, -0.025685111243676926, -0.1109298053031255, -0.09977531704186861, 0.02983518122554025, 0.1445148357306607, 0.1280272780526762, 0.09627738877731774, -0.3703412615827152, -0.12691151574420342, 0.18422322592232376, 0.1698046483631645, 0.11414137867853112, -0.11291973064154652, -0.2699849477836064, -0.013753795830000724, -0.2857201930434842, -0.16942617225660278, -0.06316356484395717, -0.044074388819613626, -0.17587367994045572, -0.3517898429251675, 0.10836560295761696, -0.012065910434882556, -0.017586702880050455, 0.04327253781022072, -0.2552552377040099, -0.03653008350270933, 0.022930752502621284, 0.22280563502031978, -0.0161412729732027, 0.09652569092369438, -0.1470594680535474, -0.11376272710705441, 0.40738520418692914, -0.05822156701885563, -0.16058709561808168, 0.040323548272551434, -0.15552494102822884, -0.21783109597163275, 0.05489513887109102, 0.1202277809581054, 0.05253452392727403, -0.1287337223600064, 0.1873802359904013, -0.17057852578415936, 0.1470555388119205, 0.023776981081547483, 0.024732314083459123, 0.2898343391882788, 0.2192821166162113, 0.062132048121254356, 0.04545901163614222, -0.07649589173628815, -0.08625291999695557, -0.45844508421474267, -0.14432073529211006, -0.11010407127573021, 0.1277540364701833, -0.10292165157625277, -0.10066165828279086, 0.4726338283050739, 0.15202117667234102, 0.2715957479085773, 0.018324657509635602, 0.26556022807822693, 0.04428190950420685, 0.045599541934539696, -0.006063562867763851, 0.2384532658616081, 0.1921601161260956, 0.11609804113894436, -0.33761606898873914, 0.028514119497101222, 0.1923232100338542] |
710.372 | Operational determination of multi-qubit entanglement classes via tuning
of local operations | We present a physical setup with which it is possible to produce arbitrary
symmetric long-lived multiqubit entangled states in the internal ground levels
of photon emitters, including the paradigmatic GHZ and W states. In the case of
three emitters, where each tripartite entangled state belongs to one of two
well-defined entanglement classes, we prove a one-to-one correspondence between
well-defined sets of experimental parameters, i.e., locally tunable polarizer
orientations, and multiqubit entanglement classes inside the symmetric
subspace.
| quant-ph | we present a physical setup with which it is possible to produce arbitrary symmetric longlived multiqubit entangled states in the internal ground levels of photon emitters including the paradigmatic ghz and w states in the case of three emitters where each tripartite entangled state belongs to one of two welldefined entanglement classes we prove a onetoone correspondence between welldefined sets of experimental parameters ie locally tunable polarizer orientations and multiqubit entanglement classes inside the symmetric subspace | [['we', 'present', 'a', 'physical', 'setup', 'with', 'which', 'it', 'is', 'possible', 'to', 'produce', 'arbitrary', 'symmetric', 'longlived', 'multiqubit', 'entangled', 'states', 'in', 'the', 'internal', 'ground', 'levels', 'of', 'photon', 'emitters', 'including', 'the', 'paradigmatic', 'ghz', 'and', 'w', 'states', 'in', 'the', 'case', 'of', 'three', 'emitters', 'where', 'each', 'tripartite', 'entangled', 'state', 'belongs', 'to', 'one', 'of', 'two', 'welldefined', 'entanglement', 'classes', 'we', 'prove', 'a', 'onetoone', 'correspondence', 'between', 'welldefined', 'sets', 'of', 'experimental', 'parameters', 'ie', 'locally', 'tunable', 'polarizer', 'orientations', 'and', 'multiqubit', 'entanglement', 'classes', 'inside', 'the', 'symmetric', 'subspace']] | [-0.16193538012693784, 0.25139007573383615, -0.012869993022544995, 0.0338129763028854, 0.027640214857743366, -0.2637253118262283, 0.04242539262141738, 0.428014182534657, -0.2180376364604423, -0.2632475277396703, -0.01024578341074582, -0.2530814607529656, -0.04443411652219335, 0.16547583180822825, 0.028059002675275366, 0.07352598168041655, 0.06710226089987707, 0.014388684649020433, -0.06791301482237606, -0.18331839757095286, 0.3565106076788844, -0.07907765009440482, 0.32816205027905343, -0.003128437233451558, 0.1456746338211049, -0.017948530959026692, 0.08100358654720415, -0.0357759450194671, -0.08714345285950817, 0.09151542292583097, 0.3087403651657759, 0.10655643590909772, 0.20202292293604268, -0.3574769743718207, -0.13427624090170293, 0.1809878268671271, 0.06780265396656959, 0.18069485018464834, -0.015990436288503634, -0.36120592662758244, -0.014030960339464639, -0.18202839699867918, -0.13094795910077855, -0.054330239237874355, 0.056998876487150005, -0.035952805382150566, -0.26237410154977914, 0.0784119464101662, 0.030251547041667725, 0.0035877875052392483, -0.03423795392307894, -0.007549789694358448, -0.07479944854582611, 0.11606112388452809, -0.1175508314290231, -0.018400462877348457, 0.11364973569901562, -0.10759164807754323, -0.18901835623393326, 0.323864901015584, -0.007772271349830062, -0.22917541835800206, 0.2230958713181807, -0.14132935348760312, -0.14316460446111465, 0.06455579283034527, 0.10014777808254094, 0.13339967605363773, -0.07757647993582252, 0.042199263819432085, -0.08901756207801793, 0.20936987035307347, 0.08985013338296037, 0.19313636726675262, 0.22427669540047646, 0.06162000236738669, 0.10135532709720887, 0.2930326165729447, -0.06585248371151178, -0.12272959527648422, -0.35356729389413405, -0.19176849507800253, -0.2189488497434037, 0.09918047856894861, -0.06618769537300595, -0.16156999732514746, 0.46825373025709077, 0.05756775787296264, 0.1494730211622817, -0.021409775804434168, 0.21679447480403868, 0.03851582270458733, 0.03725949867236379, 0.08868250186941096, 0.23847944506192825, 0.18575840274876865, -0.02164821968855042, -0.2059202299845454, 0.0056615475454906885, -0.010935870890726188] |
710.3721 | Electronic correlations in graphite and carbon nanotubes from Auger
spectroscopy | We have determined the screened on-site Coulomb repulsion in graphite and
single wall carbon nanotubes by measuring their Auger spectra and performing a
new theoretical analysis based on an extended Cini-Sawatzky approach where only
one fit parameter is employed. The experimental lineshape is very well
reproduced by the theory and this allows to determine the value of the screened
on-site repulsion between $2p$ states, which is found to be 2.1 eV in graphite
and 4.6 eV in nanotubes. The latter is robust by varying the nanotube radius
from 1 to 2 nm.
| cond-mat.str-el cond-mat.mes-hall | we have determined the screened onsite coulomb repulsion in graphite and single wall carbon nanotubes by measuring their auger spectra and performing a new theoretical analysis based on an extended cinisawatzky approach where only one fit parameter is employed the experimental lineshape is very well reproduced by the theory and this allows to determine the value of the screened onsite repulsion between 2p states which is found to be 21 ev in graphite and 46 ev in nanotubes the latter is robust by varying the nanotube radius from 1 to 2 nm | [['we', 'have', 'determined', 'the', 'screened', 'onsite', 'coulomb', 'repulsion', 'in', 'graphite', 'and', 'single', 'wall', 'carbon', 'nanotubes', 'by', 'measuring', 'their', 'auger', 'spectra', 'and', 'performing', 'a', 'new', 'theoretical', 'analysis', 'based', 'on', 'an', 'extended', 'cinisawatzky', 'approach', 'where', 'only', 'one', 'fit', 'parameter', 'is', 'employed', 'the', 'experimental', 'lineshape', 'is', 'very', 'well', 'reproduced', 'by', 'the', 'theory', 'and', 'this', 'allows', 'to', 'determine', 'the', 'value', 'of', 'the', 'screened', 'onsite', 'repulsion', 'between', '2p', 'states', 'which', 'is', 'found', 'to', 'be', '21', 'ev', 'in', 'graphite', 'and', '46', 'ev', 'in', 'nanotubes', 'the', 'latter', 'is', 'robust', 'by', 'varying', 'the', 'nanotube', 'radius', 'from', '1', 'to', '2', 'nm']] | [-0.04586634332580226, 0.15473389567357645, -0.03649987021440661, 0.056439692250473406, 0.028548324314345206, -0.202056358849814, 0.08317179059236218, 0.43917081582840983, -0.23029910897897496, -0.3563750536682514, -0.003890457781860707, -0.30949910486818694, -0.07132640558775964, 0.13716096110682893, 0.03250308273421539, -0.019846557424618647, 0.04797688768255514, -0.04795530435097005, -0.033292193682147905, -0.18995542634677673, 0.25189549235913616, 0.0810199738326636, 0.26906340626569897, 0.15746469049622397, -0.015539484211131112, 0.023940190327466353, 0.04238913051661227, 0.03671667965354173, -0.1310855306551925, 0.12114125768242118, 0.2186581839495185, -0.06239884840529207, 0.21428945214375034, -0.41587580019956105, -0.18169573227782826, 0.021104371553839565, 0.13414405632231916, 0.10688299223253565, -0.011229511505187294, -0.32029396752509603, 0.07438510422502737, -0.15982489514287437, -0.11930101420628009, -0.05417280435398385, 0.031229620681727653, 0.0034849636492084017, -0.26653690069176994, 0.10243001094108427, -0.014019727485592139, 0.042923353313069255, -0.1200206464848604, -0.14943610360477488, -0.05652730393346276, 0.08258214064843052, 0.051666267113862456, 0.02607330832896488, 0.1759191556721107, -0.06955371863351992, -0.06703692742695029, 0.42217350363281075, -0.0796597308919325, -0.11511705587151112, 0.15137208836756974, -0.1319110226551337, -0.04026163256839736, 0.17855421657057396, 0.05066866828845097, 0.12125908950302791, -0.1693605005045186, 0.10918787035036955, 0.012723260350617488, 0.20912679765184133, 0.06572932865634397, -0.01924683484709361, 0.21023510323305214, 0.2069397139987284, 0.03581374563573563, 0.07737970091069915, -0.13659819457833502, -0.032155037427750915, -0.22599149925204423, -0.09662892372260423, -0.25453432708221313, 0.06065077780730572, -0.06597746865104905, -0.15785588729348812, 0.39461348654483547, 0.1008229806282363, 0.20925092100738907, -0.030307856184983075, 0.2388114199032086, 0.12719357220435534, 0.09358410256566828, -0.017279400659090543, 0.31353391002822706, 0.15742361896599716, 0.06555771322634357, -0.24734699288331954, 0.009143714061272996, 0.01601022888220601] |
710.3722 | Ganea and Whitehead definitions for the tangential
Lusternik-Schnirelmann category of foliations | This work solves the problem of elaborating Ganea and Whitehead definitions
for the tangential category of a foliated manifold. We develop these two
notions in the category $\Tops$ of stratified spaces, that are topological
spaces $X$ endowed with a partition $\cF$ and compare them to a third invariant
defined by using open sets. More precisely, these definitions apply to an
element $(X,\cF)$ of $\Tops$ together with a class $\cA$ of subsets of $X$;
they are similar to invariants introduced by M. Clapp and D. Puppe.
If $(X,\cF)\in\Tops$, we define a transverse subset as a subspace $A$ of $X$
such that the intersection $S\cap A$ is at most countable for any $S\in \cF$.
Then we define the Whitehead and Ganea LS-categories of the stratified space by
taking the infimum along the transverse subsets. When we have a closed
manifold, endowed with a $C^1$-foliation, the three previous definitions, with
$\cA$ the class of transverse subsets, coincide with the tangential category
and are homotopical invariants.
| math.AT | this work solves the problem of elaborating ganea and whitehead definitions for the tangential category of a foliated manifold we develop these two notions in the category tops of stratified spaces that are topological spaces x endowed with a partition cf and compare them to a third invariant defined by using open sets more precisely these definitions apply to an element xcf of tops together with a class ca of subsets of x they are similar to invariants introduced by m clapp and d puppe if xcfintops we define a transverse subset as a subspace a of x such that the intersection scap a is at most countable for any sin cf then we define the whitehead and ganea lscategories of the stratified space by taking the infimum along the transverse subsets when we have a closed manifold endowed with a c1foliation the three previous definitions with ca the class of transverse subsets coincide with the tangential category and are homotopical invariants | [['this', 'work', 'solves', 'the', 'problem', 'of', 'elaborating', 'ganea', 'and', 'whitehead', 'definitions', 'for', 'the', 'tangential', 'category', 'of', 'a', 'foliated', 'manifold', 'we', 'develop', 'these', 'two', 'notions', 'in', 'the', 'category', 'tops', 'of', 'stratified', 'spaces', 'that', 'are', 'topological', 'spaces', 'x', 'endowed', 'with', 'a', 'partition', 'cf', 'and', 'compare', 'them', 'to', 'a', 'third', 'invariant', 'defined', 'by', 'using', 'open', 'sets', 'more', 'precisely', 'these', 'definitions', 'apply', 'to', 'an', 'element', 'xcf', 'of', 'tops', 'together', 'with', 'a', 'class', 'ca', 'of', 'subsets', 'of', 'x', 'they', 'are', 'similar', 'to', 'invariants', 'introduced', 'by', 'm', 'clapp', 'and', 'd', 'puppe', 'if', 'xcfintops', 'we', 'define', 'a', 'transverse', 'subset', 'as', 'a', 'subspace', 'a', 'of', 'x', 'such', 'that', 'the', 'intersection', 'scap', 'a', 'is', 'at', 'most', 'countable', 'for', 'any', 'sin', 'cf', 'then', 'we', 'define', 'the', 'whitehead', 'and', 'ganea', 'lscategories', 'of', 'the', 'stratified', 'space', 'by', 'taking', 'the', 'infimum', 'along', 'the', 'transverse', 'subsets', 'when', 'we', 'have', 'a', 'closed', 'manifold', 'endowed', 'with', 'a', 'c1foliation', 'the', 'three', 'previous', 'definitions', 'with', 'ca', 'the', 'class', 'of', 'transverse', 'subsets', 'coincide', 'with', 'the', 'tangential', 'category', 'and', 'are', 'homotopical', 'invariants']] | [-0.1542267325250255, 0.12705411339892278, -0.05580430722182404, 0.07341407554200556, -0.07864115199757905, -0.1380543208244858, 0.01767163925002553, 0.37271843704430363, -0.30575088379813264, -0.21223234932846094, 0.080817663409199, -0.2725832185861242, -0.09254426625557244, 0.17036044120949198, -0.1326026594932368, -0.013297625162338107, 0.044889560544014544, 0.06392192635154706, -0.11109579740389827, -0.25010498076208715, 0.46385695641459546, -0.07011929300578335, 0.2080109525660548, 0.004030926556833372, 0.12692003425717638, -0.009600793953124387, -0.0307352973230749, 0.11082530558633152, -0.16961819663781252, 0.16919266933772736, 0.2538227877399849, 0.1002355556157005, 0.2374543112819083, -0.3265823876320184, -0.15877545782353117, 0.12970457017374568, 0.10031943978399888, -0.010397039906451879, 0.030524939622363825, -0.303039062096254, 0.1572838804442907, -0.16283517766779265, -0.11027442544250737, -0.07083925683511115, 0.06486783766252566, 0.03401461147844697, -0.23750553358511267, -0.06582156524262568, 0.09069660464242761, 0.09422111346480684, -0.06379587898956306, -0.09856492639931885, -0.08657304731881411, 0.07562092144747376, -0.012293540675169494, 0.08897241029543566, 0.09154421503396257, -0.03617890572169489, -0.13206176219590574, 0.364682662689799, -0.06594142110582112, -0.29192734207910825, 0.16904462958226288, -0.13410308984656452, -0.17526261228625958, 0.1028664481554982, 0.08827946642030596, 0.14716539636572612, -0.05115477737126639, 0.14800237498026564, -0.11595227832970786, 0.05092975474920572, 0.09030100830264767, 0.03211896624298224, 0.1538152755002338, 0.10258246620946057, 0.10111801377114474, 0.1280049643496971, -0.05575659551493429, -0.04212711522093373, -0.3439801847849548, -0.22040917770642363, -0.0962957397333193, 0.09800236233321455, -0.07291596733235174, -0.18609749539342674, 0.3766179291997105, 0.05090094611337526, 0.24364373679685442, 0.11523020291653803, 0.2345361611172203, 0.036148634968366754, 0.02872895061798634, 0.10898544496998097, 0.11651522269372275, 0.19371299143096643, 0.01512575222921994, -0.09389658252519992, 0.0002919299368852679, 0.18768519606394105] |
710.3723 | Continuous first order orbital order-disorder transition in Nd1-xCaxMnO3 | The nature of the cooperative Jahn-Teller (JT) transition accompanied by
orbital order-disorder in Nd1-xCaxMnO3 has been studied by high temperature
(300 - 1200K) synchrotron and laboratory X-ray powder diffraction in the low
doping region (0<x<0.1). For very low doping a large temperature range of phase
coexistence associated with a first-order transition has been observed,
resembling a martensitic transformation. The transition appears continuous
because of a gradual evolution of the volume fractions of the phases over a
broad temperature interval. The first-order nature of the transition and the
phase coexistence is suppressed with increasing of doping.
| cond-mat.mtrl-sci | the nature of the cooperative jahnteller jt transition accompanied by orbital orderdisorder in nd1xcaxmno3 has been studied by high temperature 300 1200k synchrotron and laboratory xray powder diffraction in the low doping region 0x01 for very low doping a large temperature range of phase coexistence associated with a firstorder transition has been observed resembling a martensitic transformation the transition appears continuous because of a gradual evolution of the volume fractions of the phases over a broad temperature interval the firstorder nature of the transition and the phase coexistence is suppressed with increasing of doping | [['the', 'nature', 'of', 'the', 'cooperative', 'jahnteller', 'jt', 'transition', 'accompanied', 'by', 'orbital', 'orderdisorder', 'in', 'nd1xcaxmno3', 'has', 'been', 'studied', 'by', 'high', 'temperature', '300', '1200k', 'synchrotron', 'and', 'laboratory', 'xray', 'powder', 'diffraction', 'in', 'the', 'low', 'doping', 'region', '0x01', 'for', 'very', 'low', 'doping', 'a', 'large', 'temperature', 'range', 'of', 'phase', 'coexistence', 'associated', 'with', 'a', 'firstorder', 'transition', 'has', 'been', 'observed', 'resembling', 'a', 'martensitic', 'transformation', 'the', 'transition', 'appears', 'continuous', 'because', 'of', 'a', 'gradual', 'evolution', 'of', 'the', 'volume', 'fractions', 'of', 'the', 'phases', 'over', 'a', 'broad', 'temperature', 'interval', 'the', 'firstorder', 'nature', 'of', 'the', 'transition', 'and', 'the', 'phase', 'coexistence', 'is', 'suppressed', 'with', 'increasing', 'of', 'doping']] | [-0.16699781696442315, 0.2814204088181898, -0.04263564543197713, 0.002754598081121922, -0.025398325470466446, -0.1115511837815966, 0.14880248420541325, 0.38537764324936813, -0.2446115612583135, -0.2854615682235328, 0.05999333822789291, -0.30394414553959526, -0.06455831277754999, 0.10918399371126647, 0.04918841917226742, 0.0081600343548162, -0.10422418843353948, -0.03863414485753584, -0.17923200613273288, -0.13436238220342064, 0.26738431084380354, 0.085280664365298, 0.32094207502180533, 0.08175561648433007, 0.06415862089363478, -0.03451580687936756, 0.10984318711424387, 0.06909278265490967, -0.12461828233634112, -0.058697131562537405, 0.317181730202289, -0.014640004596903278, 0.20333359148153055, -0.32127779590026023, -0.29231434969872394, 0.04142629759266011, 0.12316653032859748, 0.06959052231683525, -0.1271867413632071, -0.2529767309077665, 0.023609499947758773, -0.16698018677272303, -0.10586792185542084, -0.07127770965919525, 0.015486135668251463, 0.0003605631971231071, -0.2348624686560323, 0.1414129824744289, 0.06556373901204557, 0.1589249830257388, -0.12771677170749954, -0.0733577901627668, -0.07791021288002051, 0.02318138758882239, 0.037108387472608716, 0.08126838848755885, 0.13148878574852021, -0.07084618898118616, -0.052631573190772406, 0.40621459239753344, -0.021062568651251896, 0.06540312762221982, 0.2163558877323584, -0.2643041666173088, -0.09305512324296018, 0.33838895556106363, 0.10314949786776216, 0.09425053294617883, -0.10251629463727435, 0.08955306221508191, 0.07762830486140584, 0.21895830054837528, 0.07466371641844831, 0.031646368083774405, 0.2673626740235254, 0.23563456617581147, 0.003060463983665711, 0.17454355461860918, -0.11889906583156096, -0.12937841470783917, -0.18745685061715261, -0.10703646232404056, -0.1724807123893932, 0.00718039763660761, -0.1139564045441402, -0.20395494337564193, 0.3529727241444972, 0.07759206536130839, 0.22387264885248676, -0.04804461901026067, 0.2078520384446908, 0.1600218353572712, 0.05313107528052823, -0.03300251380630558, 0.2561416177896492, 0.17774561208282266, 0.20469654550129968, -0.3093465201867123, 0.14185952910933122, -0.00449663177332891] |
710.3724 | Comment on "A Lagrangian for DSR Particle and the Role of
Noncommutativity" | In this work, we comment on two special points in the paper by S. Ghosh
[Phys. Rev. D 74, 084019 (2006)]. First of all, the Lagrangian presented by the
author does not describe the Magueijo- Smolin model of Doubly Special
Relativity since it is equivalent to the Lagrangian of the standard free
relativistic particle. We also show that the introduction of noncommutative
structures is not relevant to the problem of Lorentz covariance in Ghosh
formalism.
| hep-th gr-qc | in this work we comment on two special points in the paper by s ghosh phys rev d 74 084019 2006 first of all the lagrangian presented by the author does not describe the magueijo smolin model of doubly special relativity since it is equivalent to the lagrangian of the standard free relativistic particle we also show that the introduction of noncommutative structures is not relevant to the problem of lorentz covariance in ghosh formalism | [['in', 'this', 'work', 'we', 'comment', 'on', 'two', 'special', 'points', 'in', 'the', 'paper', 'by', 's', 'ghosh', 'phys', 'rev', 'd', '74', '084019', '2006', 'first', 'of', 'all', 'the', 'lagrangian', 'presented', 'by', 'the', 'author', 'does', 'not', 'describe', 'the', 'magueijo', 'smolin', 'model', 'of', 'doubly', 'special', 'relativity', 'since', 'it', 'is', 'equivalent', 'to', 'the', 'lagrangian', 'of', 'the', 'standard', 'free', 'relativistic', 'particle', 'we', 'also', 'show', 'that', 'the', 'introduction', 'of', 'noncommutative', 'structures', 'is', 'not', 'relevant', 'to', 'the', 'problem', 'of', 'lorentz', 'covariance', 'in', 'ghosh', 'formalism']] | [-0.09182010796959386, 0.10391970671008567, -0.04831388288152379, 0.03135476615814794, -0.09186871826170466, -0.13198403412526524, 0.00839122140786384, 0.28979406008068975, -0.17992166126606282, -0.296009916440911, 0.0007937270943452982, -0.22490510334436958, -0.2061230742901161, 0.16109946446738685, -0.14772998322606892, 0.026330986083799822, 0.009468767414423259, 0.007177198532263975, -0.08269371651427669, -0.2985898187837085, 0.3088154468962268, 0.12162000653208108, 0.23017811235921407, 0.07031482806102045, 0.0746405313571764, 0.06321390423093091, -0.08437869597125698, 0.025586966236398834, -0.17708526128901853, 0.07116320837333144, 0.1953153479277987, 0.12097627752007463, 0.2430185151563303, -0.3760928293388035, -0.20896755228121136, 0.09463502212452728, 0.054865207976183376, 0.15136093883523466, 0.037264424745887016, -0.3009847548186175, 0.058124233745164365, -0.20998723852775386, -0.12393285135889577, -0.06561132051000321, 0.09569296223816236, -0.03151324180244292, -0.19739403581951517, 0.09225824777614262, 0.1322355577785119, 0.013547624448767386, -0.01759295269250681, -0.09054821835220414, -0.0023606077994446496, -0.011187626539754707, 0.06477086275432108, 0.045643437593999144, 0.0477231034279071, -0.033876844275918964, -0.12072849970915027, 0.4214898600066836, -0.049007160441220006, -0.22440987373576374, 0.1426761162190421, -0.15363682513251095, -0.19335806108948245, 0.07883004073015842, 0.13289581294599417, 0.18694772566920398, -0.19248557475873748, 0.21346947460158452, -0.1342866657289198, 0.0773888365428492, 0.11192556304190107, -0.031693425130199744, 0.1011946194150762, 0.047344459346621424, -0.011408470596211988, 0.08056271797977388, -0.037300983981883806, -0.13755507131006467, -0.3968348989414202, -0.18020101456327334, -0.1988141155106368, 0.07192195869543325, 0.010833556524704437, -0.1254117215505323, 0.4042878146409183, 0.14674377092789556, 0.17996104486991424, -0.013670102139381139, 0.21283390680076303, 0.08793118464559116, -0.014320695474649453, 0.1341070877765683, 0.30134268529788666, 0.17893309521211967, 0.07425602848918454, -0.20084715571657225, -0.03897458180860692, 0.15048334683367126] |
710.3725 | Single-electron quantum dot in Si/SiGe with integrated charge-sensing | Single-electron occupation is an essential component to measurement and
manipulation of spin in quantum dots, capabilities that are important for
quantum information processing. Si/SiGe is of interest for semiconductor spin
qubits, but single-electron quantum dots have not yet been achieved in this
system. We report the fabrication and measurement of a top-gated quantum dot
occupied by a single electron in a Si/SiGe heterostructure. Transport through
the quantum dot is directly correlated with charge-sensing from an integrated
quantum point contact, and this charge-sensing is used to confirm
single-electron occupancy in the quantum dot.
| cond-mat.mes-hall | singleelectron occupation is an essential component to measurement and manipulation of spin in quantum dots capabilities that are important for quantum information processing sisige is of interest for semiconductor spin qubits but singleelectron quantum dots have not yet been achieved in this system we report the fabrication and measurement of a topgated quantum dot occupied by a single electron in a sisige heterostructure transport through the quantum dot is directly correlated with chargesensing from an integrated quantum point contact and this chargesensing is used to confirm singleelectron occupancy in the quantum dot | [['singleelectron', 'occupation', 'is', 'an', 'essential', 'component', 'to', 'measurement', 'and', 'manipulation', 'of', 'spin', 'in', 'quantum', 'dots', 'capabilities', 'that', 'are', 'important', 'for', 'quantum', 'information', 'processing', 'sisige', 'is', 'of', 'interest', 'for', 'semiconductor', 'spin', 'qubits', 'but', 'singleelectron', 'quantum', 'dots', 'have', 'not', 'yet', 'been', 'achieved', 'in', 'this', 'system', 'we', 'report', 'the', 'fabrication', 'and', 'measurement', 'of', 'a', 'topgated', 'quantum', 'dot', 'occupied', 'by', 'a', 'single', 'electron', 'in', 'a', 'sisige', 'heterostructure', 'transport', 'through', 'the', 'quantum', 'dot', 'is', 'directly', 'correlated', 'with', 'chargesensing', 'from', 'an', 'integrated', 'quantum', 'point', 'contact', 'and', 'this', 'chargesensing', 'is', 'used', 'to', 'confirm', 'singleelectron', 'occupancy', 'in', 'the', 'quantum', 'dot']] | [-0.15086507685128195, 0.18466843585717826, -0.017147157736041623, -0.02320003123579385, 0.07326439835900522, -0.2651008067136306, 0.04478502018458169, 0.428627404667761, -0.2337245208454197, -0.2842054060741287, -0.006054390879833828, -0.3307023079579939, -0.10223140808470223, 0.287864462978652, -0.035327079250355775, 0.13227041408865023, 0.0523949274185883, -0.031816898017575077, -0.035402282391695065, -0.18819674543793435, 0.24395155721425038, 0.03284435577149017, 0.2873506783305303, 0.09171045581435623, 0.10461522640822374, 0.04791077906417701, 0.12929030625230592, -0.02664526511469613, -0.11812927002258379, 0.11198054774380896, 0.31212468787460873, -0.06127110707988639, 0.24271245720877271, -0.4858452229072218, -0.15954712842231739, -0.025796917530343584, 0.18908268165187506, 0.1900831475175674, -0.11065960708884118, -0.31238239495407627, 0.040887507549284594, -0.18082933355143052, -0.01264041993746777, -0.04987228723526325, 0.00018483744529278383, -0.029945026026562908, -0.2156919326643338, 0.06282377838278594, 0.04466578558735226, 0.032342145128337586, 0.0634152986989964, -0.011055066112337796, 0.043629350449444486, 0.1350453218607151, -0.14720268647247198, 0.03705671067481213, 0.2605994733546496, -0.10880120265115377, -0.25024507202855917, 0.3242901002218866, -0.006678939042815372, -0.1871706658123952, 0.11107460928716413, -0.21418063191104803, -0.0883510377075847, 0.06813871095199948, 0.09410433810831897, 0.0765619425346022, -0.20008872921639326, 0.12678431676834842, 0.047402987613484424, 0.19859075611463556, -0.01811334971115803, 0.17316440250420861, 0.3180265969839757, 0.19361978855348475, 0.08860194072906818, 0.11767358208358612, -0.1569047170670946, -0.1505451594281982, -0.21542140837434842, -0.28029649512609467, -0.3186295135250396, 0.22059783592846108, 0.018522796469567213, -0.19058793305631969, 0.400718475246559, 0.13732604085310848, 0.13258385413412369, -0.11094180694730628, 0.3063828754036323, 0.18335743860402348, 0.06470835916495518, -0.016955364232315966, 0.20871852119655712, 0.20150877870163758, 0.06063889317864896, -0.29666255836364935, 0.036851073924006654, -0.08715887833892813] |
710.3726 | Linkages in Polytope Graphs | A graph is k-linked if any k disjoint vertex-pairs can be joined by k
disjoint paths. We improve a lower bound on the linkedness of polytopes
slightly, which results in exact values for the minimal linkedness of 7-, 10-
and 13-dimensional polytopes.
We analyze in detail linkedness of polytopes on at most (6d+7)/5 vertices. In
that case, a sharp lower bound on minimal linkedness is derived, and examples
meeting this lower bound are constructed. These examples contain a class of
examples due to Gallivan.
| math.CO | a graph is klinked if any k disjoint vertexpairs can be joined by k disjoint paths we improve a lower bound on the linkedness of polytopes slightly which results in exact values for the minimal linkedness of 7 10 and 13dimensional polytopes we analyze in detail linkedness of polytopes on at most 6d75 vertices in that case a sharp lower bound on minimal linkedness is derived and examples meeting this lower bound are constructed these examples contain a class of examples due to gallivan | [['a', 'graph', 'is', 'klinked', 'if', 'any', 'k', 'disjoint', 'vertexpairs', 'can', 'be', 'joined', 'by', 'k', 'disjoint', 'paths', 'we', 'improve', 'a', 'lower', 'bound', 'on', 'the', 'linkedness', 'of', 'polytopes', 'slightly', 'which', 'results', 'in', 'exact', 'values', 'for', 'the', 'minimal', 'linkedness', 'of', '7', '10', 'and', '13dimensional', 'polytopes', 'we', 'analyze', 'in', 'detail', 'linkedness', 'of', 'polytopes', 'on', 'at', 'most', '6d75', 'vertices', 'in', 'that', 'case', 'a', 'sharp', 'lower', 'bound', 'on', 'minimal', 'linkedness', 'is', 'derived', 'and', 'examples', 'meeting', 'this', 'lower', 'bound', 'are', 'constructed', 'these', 'examples', 'contain', 'a', 'class', 'of', 'examples', 'due', 'to', 'gallivan']] | [-0.13668293465871545, 0.14357713325426164, -0.013253416746809351, 0.0674270917789261, -0.06050624175951248, -0.15368873731619337, 0.0863649785609507, 0.32338079229769545, -0.19801271420182298, -0.32455018556267934, 0.13461290284985586, -0.3560469324541528, -0.12928877393828658, 0.2153134396208859, -0.13195361508192813, -0.03590326924881438, 0.07980357231174755, 0.08272123559400803, -0.059334018287566924, -0.3381294399722076, 0.2878963831037875, -0.04668437578238365, 0.20250526552156703, 0.11161419573217267, 0.06520716383877187, -0.04822632707882582, 0.04497413648996593, 0.05816987633886861, -0.2579259223269374, 0.16131011954304286, 0.2477279096932673, 0.13370077040830128, 0.17268687208387545, -0.38264308179297096, -0.13328383573353653, 0.17933973582552337, 0.12873035817543363, 0.07759516184621422, -0.003042120337429479, -0.2064243947672544, 0.149647684608836, -0.09447364953187544, -0.1038020852578395, -0.010387624875165341, 0.04994271123191205, -0.026235652150495385, -0.24584126757548713, 0.0023409145310657417, 0.11301922182575232, 0.07711158544478211, -0.026722214403335096, -0.19063391360147605, -0.05114867721070967, 0.05709852337292055, -0.0471214016774533, 0.032098757416839006, 0.003863567617017685, -0.08727084299856115, -0.1496487934732946, 0.3354356102758973, -0.0378664459624305, -0.21181727342148562, 0.1765337909568987, -0.1431447380515548, -0.16843808283347908, 0.1733557330898759, 0.1843807711493133, 0.1763696570187898, -0.10178179309771555, 0.12345256363240457, -0.12853269064344647, 0.06627767062859564, 0.16455056987952713, 0.036918756375997897, 0.1327493411706045, 0.08695190210639295, 0.13813474393881311, 0.1965599146390493, 0.015407822432746066, -0.042171323649221805, -0.32341793179512024, -0.09132171475410848, -0.22214621334995438, 0.051899227427273265, -0.15142889287309982, -0.11478337579656665, 0.3520919629940536, 0.042887714435914305, 0.23825830639135548, 0.11295046203162112, 0.2247273652110158, 0.07409395660251016, 0.05535937163115638, 0.1700851209234537, 0.17848689966585216, 0.11302304985967078, -0.057124178067258585, -0.08515095332617553, 0.034346620980990915, 0.15194154663931397] |
710.3727 | A universal GRB photon energy-peak luminosity relation | The energetics and emission mechanism of GRBs are not well understood. Here
we demonstrate that the instantaneous peak flux or equivalent isotropic peak
luminosity, L_iso ergs s^-1, rather than the integrated fluence or equivalent
isotropic energy, E_iso ergs, underpins the known high-energy correlations.
Using new spectral/temporal parameters calculated for 101 bursts with redshifts
from BATSE, BeppoSAX, HETE-II and Swift we describe a parameter space which
characterises the apparently diverse properties of the prompt emission. We show
that a source frame characteristic-photon-energy/peak luminosity ratio, K_z,
can be constructed which is constant within a factor of 2 for all bursts
whatever their duration, spectrum, luminosity and the instrumentation used to
detect them. The new parameterization embodies the Amati relation but indicates
that some correlation between E_peak and E_iso follows as a direct mathematical
inference from the Band function and that a simple transformation of E_iso to
L_iso yields a universal high energy correlation for GRBs. The existence of K_z
indicates that the mechanism responsible for the prompt emission from all GRBs
is probably predominantly thermal.
| astro-ph | the energetics and emission mechanism of grbs are not well understood here we demonstrate that the instantaneous peak flux or equivalent isotropic peak luminosity l_iso ergs s1 rather than the integrated fluence or equivalent isotropic energy e_iso ergs underpins the known highenergy correlations using new spectraltemporal parameters calculated for 101 bursts with redshifts from batse bepposax heteii and swift we describe a parameter space which characterises the apparently diverse properties of the prompt emission we show that a source frame characteristicphotonenergypeak luminosity ratio k_z can be constructed which is constant within a factor of 2 for all bursts whatever their duration spectrum luminosity and the instrumentation used to detect them the new parameterization embodies the amati relation but indicates that some correlation between e_peak and e_iso follows as a direct mathematical inference from the band function and that a simple transformation of e_iso to l_iso yields a universal high energy correlation for grbs the existence of k_z indicates that the mechanism responsible for the prompt emission from all grbs is probably predominantly thermal | [['the', 'energetics', 'and', 'emission', 'mechanism', 'of', 'grbs', 'are', 'not', 'well', 'understood', 'here', 'we', 'demonstrate', 'that', 'the', 'instantaneous', 'peak', 'flux', 'or', 'equivalent', 'isotropic', 'peak', 'luminosity', 'l_iso', 'ergs', 's1', 'rather', 'than', 'the', 'integrated', 'fluence', 'or', 'equivalent', 'isotropic', 'energy', 'e_iso', 'ergs', 'underpins', 'the', 'known', 'highenergy', 'correlations', 'using', 'new', 'spectraltemporal', 'parameters', 'calculated', 'for', '101', 'bursts', 'with', 'redshifts', 'from', 'batse', 'bepposax', 'heteii', 'and', 'swift', 'we', 'describe', 'a', 'parameter', 'space', 'which', 'characterises', 'the', 'apparently', 'diverse', 'properties', 'of', 'the', 'prompt', 'emission', 'we', 'show', 'that', 'a', 'source', 'frame', 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710.3728 | L1Packv2: A Mathematica package for minimizing an $\ell_1$-penalized
functional | L1Packv2 is a Mathematica package that contains a number of algorithms that
can be used for the minimization of an $\ell_1$-penalized least squares
functional. The algorithms can handle a mix of penalized and unpenalized
variables. Several instructive examples are given. Also, an implementation that
yields an exact output whenever exact data are given is provided.
| math.NA | l1packv2 is a mathematica package that contains a number of algorithms that can be used for the minimization of an ell_1penalized least squares functional the algorithms can handle a mix of penalized and unpenalized variables several instructive examples are given also an implementation that yields an exact output whenever exact data are given is provided | [['l1packv2', 'is', 'a', 'mathematica', 'package', 'that', 'contains', 'a', 'number', 'of', 'algorithms', 'that', 'can', 'be', 'used', 'for', 'the', 'minimization', 'of', 'an', 'ell_1penalized', 'least', 'squares', 'functional', 'the', 'algorithms', 'can', 'handle', 'a', 'mix', 'of', 'penalized', 'and', 'unpenalized', 'variables', 'several', 'instructive', 'examples', 'are', 'given', 'also', 'an', 'implementation', 'that', 'yields', 'an', 'exact', 'output', 'whenever', 'exact', 'data', 'are', 'given', 'is', 'provided']] | [-0.09391186934792334, 0.01679268458839808, -0.11623241252231377, 0.12240523712588819, -0.11472465613580964, -0.19674501986311818, -0.045558633041326645, 0.41034948736153265, -0.26125664903816803, -0.3008529732555703, 0.15423100762483147, -0.2961921636791279, -0.17364094039011332, 0.26562067417910806, -0.11337767581075982, 0.05653786067678421, 0.11393625140879993, 0.061212019753400924, -0.07761898134507376, -0.3371043999644893, 0.20430848230090407, 0.04278706183174142, 0.1616944534773076, 0.0036437593365984933, 0.14620857979214094, -0.009129181228302143, 0.01111272939791282, 0.07853792607299208, -0.07872880356916101, 0.13238364319248055, 0.3036113311709077, 0.2656349213104005, 0.33842898344759037, -0.38962347205314374, -0.1219774770239989, 0.10298963837946455, 0.15991649324833243, 0.10806297410831407, -0.051643293230207984, -0.18835472329347222, 0.0970342843707099, -0.16680992198073202, -0.09313419245666375, -0.16850564787509265, -0.035278136324551373, 0.04923543013218376, -0.3954341061827209, 0.02542757232084922, 0.0033044688515710056, 0.03891608705399213, -0.0019438303036925693, -0.18566593910670942, -0.0032877750280830595, 0.08294956325725825, 0.03998145763762295, 0.0244480543877688, 0.05509858474963241, -0.0739184961157325, -0.14376583165075216, 0.31880656967836396, -0.010474958060378278, -0.2598840884208955, 0.15570592136915634, 0.03206488840212977, -0.14989881375718309, 0.17124663505496251, 0.17167788581853663, 0.12479088631355101, -0.1960384421809404, 0.10154814278616363, -0.10369742720353382, 0.22690300929739518, 0.00043102953996923234, -0.03137551162298122, 0.11023558056223448, 0.12759672716277204, 0.09145465912297368, 0.16158209690884515, -0.04298851772209336, -0.05487583636056149, -0.3713619512402349, -0.14977764477522146, -0.244067276586537, -0.049013835515964915, -0.13723198079511617, -0.21250840799055165, 0.3785193545088448, 0.12161806199906601, 0.17033329443937098, 0.07753410324868229, 0.30861420365464354, 0.16158693297593682, 0.035438716894498574, 0.15169324311945173, 0.12757145926459795, 0.12105783494189382, -0.040353628479082276, -0.14977370749262195, 0.07400226711157572, 0.07734882039949298] |
710.3729 | Direct Numerical Simulation of a separated channel flow with a smooth
profile | A direct numerical simulation (DNS) of a channel flow with one curved surface
was performed at moderate Reynolds number (Re_tau = 395 at the inlet). The
adverse pressure gradient was obtained by a wall curvature through a
mathematical mapping from physical coordinates to Cartesian ones. The code,
using spectral spanwise and normal discretization, combines the advantage of a
good accuracy with a fast integration procedure compared to standard numerical
procedures for complex geometries. The turbulent flow slightly separates on the
profile at the lower curved wall and is at the onset of separation at the
opposite flat wall. The thin separation bubble is characterized with a reversal
flow fraction. Intense vortices are generated near the separation line on the
lower wall but also at the upper wall. Turbulent normal stresses and kinetic
energy budget are investigated along the channel.
| physics.flu-dyn physics.comp-ph | a direct numerical simulation dns of a channel flow with one curved surface was performed at moderate reynolds number re_tau 395 at the inlet the adverse pressure gradient was obtained by a wall curvature through a mathematical mapping from physical coordinates to cartesian ones the code using spectral spanwise and normal discretization combines the advantage of a good accuracy with a fast integration procedure compared to standard numerical procedures for complex geometries the turbulent flow slightly separates on the profile at the lower curved wall and is at the onset of separation at the opposite flat wall the thin separation bubble is characterized with a reversal flow fraction intense vortices are generated near the separation line on the lower wall but also at the upper wall turbulent normal stresses and kinetic energy budget are investigated along the channel | [['a', 'direct', 'numerical', 'simulation', 'dns', 'of', 'a', 'channel', 'flow', 'with', 'one', 'curved', 'surface', 'was', 'performed', 'at', 'moderate', 'reynolds', 'number', 're_tau', '395', 'at', 'the', 'inlet', 'the', 'adverse', 'pressure', 'gradient', 'was', 'obtained', 'by', 'a', 'wall', 'curvature', 'through', 'a', 'mathematical', 'mapping', 'from', 'physical', 'coordinates', 'to', 'cartesian', 'ones', 'the', 'code', 'using', 'spectral', 'spanwise', 'and', 'normal', 'discretization', 'combines', 'the', 'advantage', 'of', 'a', 'good', 'accuracy', 'with', 'a', 'fast', 'integration', 'procedure', 'compared', 'to', 'standard', 'numerical', 'procedures', 'for', 'complex', 'geometries', 'the', 'turbulent', 'flow', 'slightly', 'separates', 'on', 'the', 'profile', 'at', 'the', 'lower', 'curved', 'wall', 'and', 'is', 'at', 'the', 'onset', 'of', 'separation', 'at', 'the', 'opposite', 'flat', 'wall', 'the', 'thin', 'separation', 'bubble', 'is', 'characterized', 'with', 'a', 'reversal', 'flow', 'fraction', 'intense', 'vortices', 'are', 'generated', 'near', 'the', 'separation', 'line', 'on', 'the', 'lower', 'wall', 'but', 'also', 'at', 'the', 'upper', 'wall', 'turbulent', 'normal', 'stresses', 'and', 'kinetic', 'energy', 'budget', 'are', 'investigated', 'along', 'the', 'channel']] | [-0.1578069557553913, 0.14893239009720477, -0.09134537793452972, 0.01797569788945164, -0.06079223886321204, -0.11065460491480063, 0.020375025205557114, 0.3801829779142703, -0.2556710949882973, -0.3065359643955742, 0.11098656418692807, -0.2429310209893932, -0.0038120474200695753, 0.21839875682000665, -0.006265767758874142, 0.03822852082658505, 0.05680117916578994, -0.004611750052351019, -0.07853450076367734, -0.1397815252876962, 0.2738843921713693, 0.07626578808370707, 0.3497527527987309, 0.04919604141521605, 0.10956062994681406, -0.08589895841483351, -0.03590326746453302, 0.07911511384747058, -0.1759281992284662, 0.04256239309324883, 0.1578993427624548, -0.039157049349117755, 0.24062227189162935, -0.4465807238188775, -0.24614530361756898, -0.000992845416581933, 0.14208351963780064, 0.09760146837789511, -0.05148614159775931, -0.2579956637236519, 0.0982670805727442, -0.128634747384332, -0.12052566029698304, 0.030710732193150812, 0.002445751477194869, 0.014821264656611544, -0.26129453527898044, 0.14157192186141163, 0.002925657211681423, 0.118750178577181, -0.04725989363446454, -0.10007690900997461, -0.10498694741450575, 0.08641794384997067, 0.062419253769263196, 0.055479834257773517, 0.1851325261898413, -0.14629701247938193, -0.013078829179099504, 0.35720695964182203, -0.05365898018108978, -0.23030856012137255, 0.22853099242396033, -0.15162389747886176, -0.017734857141107754, 0.2577366510277911, 0.17365511070407144, 0.10310208057795746, -0.05604241954743106, 0.013238736239778202, -0.025819152337161526, 0.1387793965177084, 0.13151044618554306, -0.08747302559946758, 0.21571768600488608, 0.1843560138258381, 0.07621231896843275, 0.1457510138220707, -0.1573588418710194, -0.11183263450705756, -0.3316784581722881, -0.12115788185780031, -0.1702077943507744, 0.004724879280083637, -0.12333233367077638, -0.14720960582211695, 0.3530886325836722, 0.04587206897744234, 0.16696824083961817, 0.055845740521191685, 0.33990316317025304, 0.09479634002428097, 0.04540462042981138, 0.14352343283067254, 0.2570205464608211, 0.15077510244462747, 0.15872368676703089, -0.24739438812822048, 0.037047206456233085, 0.07300599412722648] |
710.373 | Can Terrestrial Planets Form in Hot-Jupiter Systems? | Models of terrestrial planet formation in the presence of a migrating giant
planet have challenged the notion that hot-Jupiter systems lack terrestrial
planets. We briefly review this issue and suggest that hot-Jupiter systems
should be prime targets for future observational missions designed to detect
Earth-sized and potentially habitable worlds.
| astro-ph | models of terrestrial planet formation in the presence of a migrating giant planet have challenged the notion that hotjupiter systems lack terrestrial planets we briefly review this issue and suggest that hotjupiter systems should be prime targets for future observational missions designed to detect earthsized and potentially habitable worlds | [['models', 'of', 'terrestrial', 'planet', 'formation', 'in', 'the', 'presence', 'of', 'a', 'migrating', 'giant', 'planet', 'have', 'challenged', 'the', 'notion', 'that', 'hotjupiter', 'systems', 'lack', 'terrestrial', 'planets', 'we', 'briefly', 'review', 'this', 'issue', 'and', 'suggest', 'that', 'hotjupiter', 'systems', 'should', 'be', 'prime', 'targets', 'for', 'future', 'observational', 'missions', 'designed', 'to', 'detect', 'earthsized', 'and', 'potentially', 'habitable', 'worlds']] | [-0.20836941818100857, 0.1616379119151709, -0.05048736131617001, 0.11988711272299822, -0.18596477939614228, -0.08040327467594524, 0.09422833548516643, 0.2975756329655343, -0.13217874551762124, -0.3670143940942172, 0.11525485543676708, -0.2765050674123423, -0.20383170592047425, 0.20035072909287957, -0.14363619371564412, 0.06531200934752669, 0.23767284682134585, -0.1241236469347258, 0.06779315475878135, -0.2891313531340993, 0.30029951389498855, 0.12219638463908009, -0.00988349184389131, -0.001191889962219462, -0.0418251541310123, -0.10264466805573629, -0.03232726905190823, -0.11098223856213141, -0.22923738165011354, 0.07276130990334312, 0.356669416597451, 0.22144983591017675, 0.23734104179073962, -0.4524023522223745, -0.3089031392746434, 0.1341876746202838, 0.1685261196665922, -0.022721565993768827, -0.08630334002402973, -0.31016842230242125, 0.09953448567682002, -0.2672161621668813, -0.24593277686104484, -0.018037582804657976, 0.10105811588808286, -0.04487534270298724, -0.2249851686765953, -0.002732979323790998, 0.07238622142800263, 0.17442398149596186, -0.18282149427769973, -0.15000464949680833, -0.018241041088096644, 0.05822260292931175, -0.001075513622894579, -0.06574854055153471, 0.19218673776569112, -0.05576322824998321, -0.09376285075000962, 0.4242171211814394, -0.09896654947375765, -0.02329271324739164, 0.32577849975882134, -0.26594711079889416, -0.17458102422557314, 0.048332699745589375, 0.2257913497789782, 0.14558127178449412, -0.19061732355847347, -0.036337196924343555, 0.008038870795458859, 0.12168915083213729, 0.07378437190449663, 0.11839755373645802, 0.5737653985923651, 0.23505953431357535, 0.1119721750313017, -0.006806711105591789, -0.23116825332827107, -0.055124666712874054, -0.10390810277883192, -0.14616659135386653, -0.1301654270488997, -0.026090298418183715, 0.020595457985146656, -0.08744170485368492, 0.2687051516710495, 0.26020668811944064, 0.07959585078060627, 0.005184086510075295, 0.3258678472163726, -0.007054401171982897, 0.13971433206936534, 0.05199606661513752, 0.3748217830481958, 0.06511266326189649, 0.09375809638627938, -0.26082586348817055, 0.16955342681660335, -0.07864004550311639] |
710.3731 | Regularization of Hele-Shaw flows, multiscaling expansions and the
Painleve I equation | Critical processes of ideal integrable models of Hele-Shaw flows are
considered. A regularization method based on multiscaling expansions of
solutions of the KdV and Toda hierarchies characterized by string equations is
proposed. Examples are exhibited in which the tritronq'ee solution of the
Painleve-I equation turns out to provide the leading term of the regularization
| math-ph math.MP nlin.SI | critical processes of ideal integrable models of heleshaw flows are considered a regularization method based on multiscaling expansions of solutions of the kdv and toda hierarchies characterized by string equations is proposed examples are exhibited in which the tritronqee solution of the painlevei equation turns out to provide the leading term of the regularization | [['critical', 'processes', 'of', 'ideal', 'integrable', 'models', 'of', 'heleshaw', 'flows', 'are', 'considered', 'a', 'regularization', 'method', 'based', 'on', 'multiscaling', 'expansions', 'of', 'solutions', 'of', 'the', 'kdv', 'and', 'toda', 'hierarchies', 'characterized', 'by', 'string', 'equations', 'is', 'proposed', 'examples', 'are', 'exhibited', 'in', 'which', 'the', 'tritronqee', 'solution', 'of', 'the', 'painlevei', 'equation', 'turns', 'out', 'to', 'provide', 'the', 'leading', 'term', 'of', 'the', 'regularization']] | [-0.1626367463531491, 0.04457890382915173, -0.1081580889745141, 0.10419630694405158, -0.06817782276643897, -0.179213284172188, -0.03992400025369002, 0.2466853111630903, -0.27931233059685184, -0.19842898657650881, 0.1637121800680311, -0.3048986322334353, -0.19794670081222956, 0.1882639156197602, -0.0160036125167642, 0.1209259875478961, 0.04943547366222121, 0.009286131776258666, -0.0764237550913163, -0.27766610913962686, 0.36906236888102767, 0.0007462527181180018, 0.2714501875979861, 0.025382309949974407, 0.18818427105697821, -0.13441230060602977, -0.04797991215831266, 0.0076017644836233475, -0.15881956525076674, 0.07406306138508162, 0.23959893782773847, 0.03530831445219382, 0.24249257752671838, -0.41173411803847215, -0.24094093619090207, 0.03639898013393834, 0.21299852144394843, 0.08557418583373907, -0.0008159360764899625, -0.2828084321798019, 0.045756867682596424, -0.12073641876637373, -0.19024555948299338, -0.13003807919064783, -0.011679675781501914, 0.09935964352257971, -0.3049588314486, 0.15463248529594462, 0.08463074887206531, -0.00015792083698061278, -0.1177754367367839, -0.08062246694879711, -0.051303339700372715, 0.03425723670999396, 0.11925233831137137, -0.027057973290178575, 0.03549602305305735, -0.16944421910382104, -0.12026046947488245, 0.40942897412152784, -0.04050928311211602, -0.320745735095357, 0.14606830185138672, -0.0772932583580391, -0.08707943288082222, 0.14667716133847553, 0.12238500586201279, 0.1308741450193338, -0.16747512626198102, 0.11897605389492798, -0.04518336674444518, 0.09187100743347744, 0.08672623564752768, -0.02140069549094956, 0.1687193141529723, 0.18481820201466106, 0.03926260349393453, 0.15953536582934968, 0.0016847224774295992, -0.20061188082228293, -0.32698942629515, -0.09097994931639647, -0.1340144602054695, 0.06669456548637377, -0.13897633909677234, -0.2245396651187033, 0.38294637040674406, 0.13271713775213598, 0.14621361656079315, 0.045293382265745606, 0.1553340545099861, 0.21835863996156543, 0.07698329884277762, 0.058786265912272456, 0.18794536927960953, 0.177925155726525, 0.13451959878944283, -0.2290096725293277, -0.011020396519803776, 0.2513658901641391] |
710.3732 | Spitzer's View of Edge-on Spirals | Edge-on spiral galaxies offer a unique perspective on disks. One can
accurately determine the height distribution of stars and ISM and the
line-of-sight integration allows for the study of faint structures. The Spitzer
IRAC camera is an ideal instrument to study both the ISM and stellar structure
in nearby galaxies; two of its channels trace the old stellar disk with little
extinction and the 8 micron channel is dominated by the smallest dust grains
(Polycyclic Aromatic Hydrocarbons, PAHs). Dalcanton et al. (2004) probed the
link between the appearance of dust lanes and the disk stability. In a sample
of bulge-less disks they show how in massive disks the ISM collapses into the
characteristic thin dust lane. Less massive disks are gravitationally stable
and their dust morphology is fractured. The transition occurs at 120 km/s for
bulgeless disks. Here we report on our results of our Spitzer/IRAC survey of
nearby edge-on spirals and its first results on the NIR Tully-Fischer relation,
and ISM disk stability.
| astro-ph | edgeon spiral galaxies offer a unique perspective on disks one can accurately determine the height distribution of stars and ism and the lineofsight integration allows for the study of faint structures the spitzer irac camera is an ideal instrument to study both the ism and stellar structure in nearby galaxies two of its channels trace the old stellar disk with little extinction and the 8 micron channel is dominated by the smallest dust grains polycyclic aromatic hydrocarbons pahs dalcanton et al 2004 probed the link between the appearance of dust lanes and the disk stability in a sample of bulgeless disks they show how in massive disks the ism collapses into the characteristic thin dust lane less massive disks are gravitationally stable and their dust morphology is fractured the transition occurs at 120 kms for bulgeless disks here we report on our results of our spitzerirac survey of nearby edgeon spirals and its first results on the nir tullyfischer relation and ism disk stability | [['edgeon', 'spiral', 'galaxies', 'offer', 'a', 'unique', 'perspective', 'on', 'disks', 'one', 'can', 'accurately', 'determine', 'the', 'height', 'distribution', 'of', 'stars', 'and', 'ism', 'and', 'the', 'lineofsight', 'integration', 'allows', 'for', 'the', 'study', 'of', 'faint', 'structures', 'the', 'spitzer', 'irac', 'camera', 'is', 'an', 'ideal', 'instrument', 'to', 'study', 'both', 'the', 'ism', 'and', 'stellar', 'structure', 'in', 'nearby', 'galaxies', 'two', 'of', 'its', 'channels', 'trace', 'the', 'old', 'stellar', 'disk', 'with', 'little', 'extinction', 'and', 'the', '8', 'micron', 'channel', 'is', 'dominated', 'by', 'the', 'smallest', 'dust', 'grains', 'polycyclic', 'aromatic', 'hydrocarbons', 'pahs', 'dalcanton', 'et', 'al', '2004', 'probed', 'the', 'link', 'between', 'the', 'appearance', 'of', 'dust', 'lanes', 'and', 'the', 'disk', 'stability', 'in', 'a', 'sample', 'of', 'bulgeless', 'disks', 'they', 'show', 'how', 'in', 'massive', 'disks', 'the', 'ism', 'collapses', 'into', 'the', 'characteristic', 'thin', 'dust', 'lane', 'less', 'massive', 'disks', 'are', 'gravitationally', 'stable', 'and', 'their', 'dust', 'morphology', 'is', 'fractured', 'the', 'transition', 'occurs', 'at', '120', 'kms', 'for', 'bulgeless', 'disks', 'here', 'we', 'report', 'on', 'our', 'results', 'of', 'our', 'spitzerirac', 'survey', 'of', 'nearby', 'edgeon', 'spirals', 'and', 'its', 'first', 'results', 'on', 'the', 'nir', 'tullyfischer', 'relation', 'and', 'ism', 'disk', 'stability']] | [-0.08268429435471572, 0.0623050552144932, -0.08047569441386558, 0.08013275044717508, -0.077637029099051, -0.025196445256857793, -0.0005392455261643613, 0.4638471586357166, -0.18530847219091545, -0.3061246512054534, 0.038015770435222515, -0.2609826800174388, -0.057351308573809705, 0.1400428711942102, -0.05450817696443509, -0.04033969646595169, 0.024967379833957772, -0.23250557468329533, 0.018921023750075754, -0.3105371512583366, 0.3175499807452647, 0.06801159161273618, 0.11850094184046611, -0.045829659995478125, 0.03118852171876536, -0.14614375051758366, -0.11250726154596521, -0.058552827657677414, -0.22922549512032875, 0.051907298859299685, 0.21216001214101773, 0.05844237269890827, 0.16970981327708948, -0.38687898676888416, -0.19216898247804037, 0.04504305539118898, 0.1923266001210389, 0.02667708427037635, -0.03962930648732453, -0.26916301148807315, 0.1032524754934967, -0.13187207759389222, -0.18447026590782603, 0.10505767639232345, 0.06976920371966028, -0.004799594886873554, -0.1928631364397716, 0.12620844348211682, 0.0758518888217556, 0.14184557172333503, -0.14336167882862444, -0.09140033436450744, -0.12053864723832415, 0.08273633231590616, -0.021146187254244733, 0.034256444775453976, 0.27012436206895496, -0.17376691069476669, 0.007054878234090965, 0.4303632164714722, -0.07877660659141839, 0.012345265628338405, 0.2999808478666748, -0.21567281001962993, -0.1218534604129495, 0.18938946038294333, 0.14901399116667852, 0.12597143216194903, -0.1302794089839686, 0.03973168666508594, -0.1098112124245523, 0.2087212156606611, 0.06999348353583185, 0.10663411631703196, 0.36399200838627066, 0.09058883101622597, 0.04963160686197736, 0.1423474956540215, -0.24963053922089407, -0.05535668347679681, -0.1959561220563312, -0.17395197940570098, -0.1363699951822438, 0.0884639818630204, -0.16390152952119866, -0.11317285513217851, 0.2922135656110363, 0.047693341521818824, 0.23444089254438197, 0.056804450339546834, 0.34545771488863064, -0.008516452739458167, 0.10269636285871767, 0.1551940643381918, 0.292082648406305, 0.19556262917538378, 0.09535484263262067, -0.24604332829341463, 0.09180233148267357, -0.0232082209918966] |
710.3733 | Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled
Yang-Mills Theory | The small-scale structure of a string connecting a pair of static sources is
explored for the weakly-coupled anisotropic SU(2) Yang-Mills theory in (2+1)
dimensions. A crucial ingredient in the formulation of the string Hamiltonian
is the phenomenon of color smearing of the string constituents. The
quark-anti-quark potential is determined. We close with some discussion of the
standard, fully Lorentz-invariant Yang-Mills theory.
| hep-th cond-mat.str-el hep-lat math-ph math.MP | the smallscale structure of a string connecting a pair of static sources is explored for the weaklycoupled anisotropic su2 yangmills theory in 21 dimensions a crucial ingredient in the formulation of the string hamiltonian is the phenomenon of color smearing of the string constituents the quarkantiquark potential is determined we close with some discussion of the standard fully lorentzinvariant yangmills theory | [['the', 'smallscale', 'structure', 'of', 'a', 'string', 'connecting', 'a', 'pair', 'of', 'static', 'sources', 'is', 'explored', 'for', 'the', 'weaklycoupled', 'anisotropic', 'su2', 'yangmills', 'theory', 'in', '21', 'dimensions', 'a', 'crucial', 'ingredient', 'in', 'the', 'formulation', 'of', 'the', 'string', 'hamiltonian', 'is', 'the', 'phenomenon', 'of', 'color', 'smearing', 'of', 'the', 'string', 'constituents', 'the', 'quarkantiquark', 'potential', 'is', 'determined', 'we', 'close', 'with', 'some', 'discussion', 'of', 'the', 'standard', 'fully', 'lorentzinvariant', 'yangmills', 'theory']] | [-0.15469012236924934, 0.2155488347787349, -0.09520340361250718, 0.1323976254407469, -0.0469354004560985, -0.11175784829347471, -0.009589439582415536, 0.3067402553546136, -0.17814996902693492, -0.2448546180471045, 0.010809506774406697, -0.2765817113342832, -0.15860292778854243, 0.062049478109254215, 0.005300390747849082, 0.04521334469013038, 0.004312338734992215, 0.09785776959396288, -0.09033784526781957, -0.2252580244437654, 0.3482856960264874, 0.01889636270467146, 0.284451139693866, 0.10275948569789285, 0.10122813872962458, 0.02600188173170461, -0.06840452596117727, 0.034813026393778986, -0.0817878449824257, 0.12433475222377503, 0.1859267667149667, 0.054678228118869125, 0.14526021124443925, -0.41832576933332155, -0.2532174907563651, 0.053748780052315016, 0.1450790535032627, 0.17638614171825837, -0.017757100495891492, -0.2582201827317476, 0.08477363372068913, -0.15292122895203408, -0.22703619615831336, -0.014758175040488361, 0.013030529861933872, -0.0892673421834336, -0.2244237083617262, 0.0804777225464216, 0.03106813298797876, 0.03482977779521072, -0.037633601835638776, -0.05366837605070628, -0.03015244640715298, 0.08792138519528948, 0.0635569555356671, 0.12960868469271503, 0.10234993674074773, -0.23698854991463852, -0.14433160266976375, 0.4266571601333677, -0.06049105308598793, -0.20458815240928116, 0.13018863782530926, -0.09171706626619228, -0.14810974782974015, 0.09591866017044445, 0.08808098567771863, 0.1410620344772202, -0.1667299741186339, 0.19316920283876482, -0.052403859473520616, 0.13480592473242126, 0.06859430255459957, 0.06760191781537943, 0.2896459181716696, 0.18408859603595537, 0.008297676678563728, 0.13773301259049628, -0.033444743687439646, -0.21709032973549405, -0.4284916205301148, -0.09654961068748084, -0.1467901134756623, 0.09519417315232949, -0.15006501243648226, -0.22180165256827794, 0.3737816061274927, 0.0930825928531465, 0.1522519823667578, -0.04102160453368894, 0.22536233953032336, 0.10788169915436721, 0.062181096951492494, 0.05636113748473466, 0.2544514441535404, 0.24721017940977558, 0.09866363659012513, -0.25244156427711983, -0.12538682800702383, 0.18412814153068255] |
710.3734 | Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton
formation | We study the phase diagram for a dilute Bardeen-Cooper-Schrieffer superfluid
Fermi-Fermi mixture (of distinct mass) at zero temperature using energy
densities for the superfluid fermions in one (1D), two (2D), and three (3D)
dimensions. We also derive the dynamical time-dependent nonlinear
Euler-Lagrange equation satisfied by the mixture in one dimension using this
energy density. We obtain the linear stability conditions for the mixture in
terms of fermion densities of the components and the interspecies Fermi-Fermi
interaction. In equilibrium there are two possibilities. The first is that of a
uniform mixture of the two components, the second is that of two pure phases of
two components without any overlap between them. In addition, a mixed and a
pure phase, impossible in 1D and 2D, can be created in 3D. We also obtain the
conditions under which the uniform mixture is stable from an energetic
consideration. The same conditions are obtained from a modulational instability
analysis of the dynamical equations in 1D. Finally, the 1D dynamical equations
for the system are solved numerically and by variational approximation (VA) to
study the bright solitons of the system for attractive interspecies Fermi-Fermi
interaction in 1D. The VA is found to yield good agreement to the numerical
result for the density profile and chemical potential of the bright solitons.
The bright solitons are demonstrated to be dynamically stable. The experimental
realization of these Fermi-Fermi bright solitons seems possible with present
setups.
| cond-mat.soft nlin.PS | we study the phase diagram for a dilute bardeencooperschrieffer superfluid fermifermi mixture of distinct mass at zero temperature using energy densities for the superfluid fermions in one 1d two 2d and three 3d dimensions we also derive the dynamical timedependent nonlinear eulerlagrange equation satisfied by the mixture in one dimension using this energy density we obtain the linear stability conditions for the mixture in terms of fermion densities of the components and the interspecies fermifermi interaction in equilibrium there are two possibilities the first is that of a uniform mixture of the two components the second is that of two pure phases of two components without any overlap between them in addition a mixed and a pure phase impossible in 1d and 2d can be created in 3d we also obtain the conditions under which the uniform mixture is stable from an energetic consideration the same conditions are obtained from a modulational instability analysis of the dynamical equations in 1d finally the 1d dynamical equations for the system are solved numerically and by variational approximation va to study the bright solitons of the system for attractive interspecies fermifermi interaction in 1d the va is found to yield good agreement to the numerical result for the density profile and chemical potential of the bright solitons the bright solitons are demonstrated to be dynamically stable the experimental realization of these fermifermi bright solitons seems possible with present setups | [['we', 'study', 'the', 'phase', 'diagram', 'for', 'a', 'dilute', 'bardeencooperschrieffer', 'superfluid', 'fermifermi', 'mixture', 'of', 'distinct', 'mass', 'at', 'zero', 'temperature', 'using', 'energy', 'densities', 'for', 'the', 'superfluid', 'fermions', 'in', 'one', '1d', 'two', '2d', 'and', 'three', '3d', 'dimensions', 'we', 'also', 'derive', 'the', 'dynamical', 'timedependent', 'nonlinear', 'eulerlagrange', 'equation', 'satisfied', 'by', 'the', 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710.3735 | The Brownian gyrator: a minimal heat engine on the nano-scale | A Brownian particle moving in the vicinity of a generic potential minimum
under the influence of dissipation and thermal noise from two different heat
baths is shown to act as a minimal heat engine, generating a systematic torque
onto the physical object at the origin of the potential and an opposite torque
onto the medium generating the dissipation.
| cond-mat.stat-mech | a brownian particle moving in the vicinity of a generic potential minimum under the influence of dissipation and thermal noise from two different heat baths is shown to act as a minimal heat engine generating a systematic torque onto the physical object at the origin of the potential and an opposite torque onto the medium generating the dissipation | [['a', 'brownian', 'particle', 'moving', 'in', 'the', 'vicinity', 'of', 'a', 'generic', 'potential', 'minimum', 'under', 'the', 'influence', 'of', 'dissipation', 'and', 'thermal', 'noise', 'from', 'two', 'different', 'heat', 'baths', 'is', 'shown', 'to', 'act', 'as', 'a', 'minimal', 'heat', 'engine', 'generating', 'a', 'systematic', 'torque', 'onto', 'the', 'physical', 'object', 'at', 'the', 'origin', 'of', 'the', 'potential', 'and', 'an', 'opposite', 'torque', 'onto', 'the', 'medium', 'generating', 'the', 'dissipation']] | [-0.15537902560879893, 0.15246015977629276, -0.07213142354458828, 0.010840013731624288, -0.0745658928303626, -0.09248114351568551, 0.0435638561667192, 0.3263016598788893, -0.31945183365766344, -0.2797542667851366, 0.05913578931860433, -0.3148763041686395, -0.07099274244031002, 0.26554231603573686, -0.01897840447531178, 0.028102777609280472, 0.0008705240545858597, 0.06937264715289247, -0.015599022330395106, -0.10777948488449228, 0.29985145755626, 0.09304411278973365, 0.2427821448072791, 0.06281477997605368, 0.14189581108953933, -0.04206759926606098, 0.03675137763714482, 0.01335689687202203, -0.08516915682060965, 0.0303635210649849, 0.11663990002125502, -0.053213293535699105, 0.26450186535908743, -0.4622659381671712, -0.2552360621228782, 0.12580185661349316, 0.06889502769978396, 0.10181350161417804, -0.11919017632267084, -0.22934983818438545, -0.01678317666439147, -0.1713965423726316, -0.1272064657432252, 0.0017893050379794218, 0.06137923453131627, 0.03373459212738892, -0.2666858584009882, 0.06660460506501639, 0.12024035765628877, 0.02113887100432325, -0.09264857360515101, -0.06799484648067376, -0.07686343889458683, 0.15740057831260792, 0.038505086599014186, 0.05043363303813184, 0.2905743049843044, -0.17060139552882775, -0.06496879416678486, 0.3742631156125973, -0.09854558697130916, -0.25231822714980306, 0.237691647886973, -0.14577108647288947, -0.04436074074454092, 0.13041299569484746, 0.1654784998631683, 0.08321705995456732, -0.24676893718926043, 0.02702707386021663, 0.019303653068069755, 0.07825206536879956, 0.0760333084637813, 0.026631287941388016, 0.3349382475275418, 0.1660502548490105, 0.0634012346412858, 0.22954712621867657, -0.13358807139869394, -0.10057002989222007, -0.32102973377010946, -0.15891064449759393, -0.24905866174155783, 0.1093388192259289, -0.12453166885122834, -0.14376924934562152, 0.40080219102573805, 0.16942204596025162, 0.19750744003224477, -0.012190352964760929, 0.3196075178747033, 0.1261135907020773, 0.044265468203430546, 0.11767801943492016, 0.222481011902785, 0.14189681515161848, 0.1149817008910508, -0.33406945719817205, 0.025932802184452784, 0.03684528557391002] |
710.3736 | Analysis of Proton Radiography Images of Shock Melted/Damaged Tin | Tin coupons were shock damaged/melted under identical conditions with a
diverging high explosive shock wave. Proton Radiography images and velocimetry
data from experiments with seven different tin coupons of varying thickness are
analyzed. Comparing experiments with identical samples allowed us to
distinguish between repeatable and random features. Shapes and velocities of
the main fragments are deterministic functions of the coupon thickness; random
differences exist only at a small scale. Velocities of the leading layer and of
the main fragment differ by the same value independently of coupon thicknesses,
which is likely related to the separation energy of metal layers.
| physics.data-an physics.ins-det | tin coupons were shock damagedmelted under identical conditions with a diverging high explosive shock wave proton radiography images and velocimetry data from experiments with seven different tin coupons of varying thickness are analyzed comparing experiments with identical samples allowed us to distinguish between repeatable and random features shapes and velocities of the main fragments are deterministic functions of the coupon thickness random differences exist only at a small scale velocities of the leading layer and of the main fragment differ by the same value independently of coupon thicknesses which is likely related to the separation energy of metal layers | [['tin', 'coupons', 'were', 'shock', 'damagedmelted', 'under', 'identical', 'conditions', 'with', 'a', 'diverging', 'high', 'explosive', 'shock', 'wave', 'proton', 'radiography', 'images', 'and', 'velocimetry', 'data', 'from', 'experiments', 'with', 'seven', 'different', 'tin', 'coupons', 'of', 'varying', 'thickness', 'are', 'analyzed', 'comparing', 'experiments', 'with', 'identical', 'samples', 'allowed', 'us', 'to', 'distinguish', 'between', 'repeatable', 'and', 'random', 'features', 'shapes', 'and', 'velocities', 'of', 'the', 'main', 'fragments', 'are', 'deterministic', 'functions', 'of', 'the', 'coupon', 'thickness', 'random', 'differences', 'exist', 'only', 'at', 'a', 'small', 'scale', 'velocities', 'of', 'the', 'leading', 'layer', 'and', 'of', 'the', 'main', 'fragment', 'differ', 'by', 'the', 'same', 'value', 'independently', 'of', 'coupon', 'thicknesses', 'which', 'is', 'likely', 'related', 'to', 'the', 'separation', 'energy', 'of', 'metal', 'layers']] | [-0.062131724310848783, 0.21282277509037936, -0.05337472095116213, 0.017949228370989844, -0.024193729651730736, -0.1703944299791759, 0.02371722765086333, 0.41528610600044535, -0.260889611606087, -0.32412711167898106, 0.04846203444069441, -0.3466519868495513, -0.006845648457505265, 0.16415710121450222, 0.00017579755156624073, 0.0709859886092647, 0.06405334821332018, -0.027366896024525012, -0.0665354293210394, -0.19256471728963054, 0.3192326168586709, 0.038999260873628816, 0.324994366692037, 0.00018569939871964863, 0.08859482259793701, -0.06652051980882807, 0.0020248225310399216, 0.05020987438940804, -0.1454581828676259, 0.028358653154490248, 0.22770055660939947, 0.04148474358478371, 0.23578480694785106, -0.4781331580550391, -0.17305751608973322, 0.03714838227238126, 0.09373277838446428, 0.0812222079993986, -0.02204808257330133, -0.2599046719260514, 0.09254248511065177, -0.08624934396891835, -0.12598950439489123, 0.03736320523336074, 0.029236805142076897, 0.13681198124374663, -0.29401081338600843, 0.06191844084034009, 0.0028104105470131853, 0.05226050481456807, -0.07892183850196247, -0.1657765783008416, -0.057949355546841205, 0.15874062991720073, 0.11383973543617722, -0.009963458603514093, 0.17273520803250067, -0.10920557004342578, -0.03829377825961125, 0.35565405730538224, -0.021765210846324965, -0.12351302164000916, 0.23439765934433257, -0.18509569587138464, -0.06116018026154869, 0.22091578838310907, 0.1654802997102391, 0.11989419105669427, -0.14902918587191677, -0.024142953472173944, -0.03940290911108307, 0.19083681185634768, 0.21553866395593754, -0.008624471999628812, 0.1901338189004027, 0.15249958837746966, 0.01206562968389112, 0.13054619016772023, -0.1414723099038309, -0.052411195080803365, -0.28139333636024777, -0.10657294581131059, -0.16590703043335936, 0.00037179398870128874, -0.13597564242378696, -0.1731550286105853, 0.3783294078038663, 0.134039802942425, 0.2133655704044718, 0.03613104358700351, 0.25413049762232265, 0.0522811320629351, 0.08375051678918606, 0.030107974858802497, 0.18943679476232858, 0.13583390799122957, 0.10228036321243461, -0.17019544075402354, 0.15098969819860494, -0.01227762304722778] |
710.3737 | Disorder, Metal-Insulator crossover and Phase diagram in high-Tc
cuprates | We have studied the influence of disorder induced by electron irradiation on
the normal state resistivities $\rho(T)$ of optimally and underdoped YBa2CuOx
single crystals, using pulsed magnetic fields up to 60T to completely restore
the normal state. We evidence that point defect disorder induces low T upturns
of rho(T) which saturate in some cases at low T in large applied fields as
would be expected for a Kondo-like magnetic response. Moreover the magnitude of
the upturns is related to the residual resistivity, that is to the
concentration of defects and/or their nanoscale morphology. These upturns are
found quantitatively identical to those reported in lower Tc cuprates, which
establishes the importance of disorder in these supposedly pure compounds. We
therefore propose a realistic phase diagram of the cuprates, including
disorder, in which the superconducting state might reach the antiferromagnetic
phase in the clean limit.
| cond-mat.supr-con cond-mat.str-el | we have studied the influence of disorder induced by electron irradiation on the normal state resistivities rhot of optimally and underdoped yba2cuox single crystals using pulsed magnetic fields up to 60t to completely restore the normal state we evidence that point defect disorder induces low t upturns of rhot which saturate in some cases at low t in large applied fields as would be expected for a kondolike magnetic response moreover the magnitude of the upturns is related to the residual resistivity that is to the concentration of defects andor their nanoscale morphology these upturns are found quantitatively identical to those reported in lower tc cuprates which establishes the importance of disorder in these supposedly pure compounds we therefore propose a realistic phase diagram of the cuprates including disorder in which the superconducting state might reach the antiferromagnetic phase in the clean limit | [['we', 'have', 'studied', 'the', 'influence', 'of', 'disorder', 'induced', 'by', 'electron', 'irradiation', 'on', 'the', 'normal', 'state', 'resistivities', 'rhot', 'of', 'optimally', 'and', 'underdoped', 'yba2cuox', 'single', 'crystals', 'using', 'pulsed', 'magnetic', 'fields', 'up', 'to', '60t', 'to', 'completely', 'restore', 'the', 'normal', 'state', 'we', 'evidence', 'that', 'point', 'defect', 'disorder', 'induces', 'low', 't', 'upturns', 'of', 'rhot', 'which', 'saturate', 'in', 'some', 'cases', 'at', 'low', 't', 'in', 'large', 'applied', 'fields', 'as', 'would', 'be', 'expected', 'for', 'a', 'kondolike', 'magnetic', 'response', 'moreover', 'the', 'magnitude', 'of', 'the', 'upturns', 'is', 'related', 'to', 'the', 'residual', 'resistivity', 'that', 'is', 'to', 'the', 'concentration', 'of', 'defects', 'andor', 'their', 'nanoscale', 'morphology', 'these', 'upturns', 'are', 'found', 'quantitatively', 'identical', 'to', 'those', 'reported', 'in', 'lower', 'tc', 'cuprates', 'which', 'establishes', 'the', 'importance', 'of', 'disorder', 'in', 'these', 'supposedly', 'pure', 'compounds', 'we', 'therefore', 'propose', 'a', 'realistic', 'phase', 'diagram', 'of', 'the', 'cuprates', 'including', 'disorder', 'in', 'which', 'the', 'superconducting', 'state', 'might', 'reach', 'the', 'antiferromagnetic', 'phase', 'in', 'the', 'clean', 'limit']] | [-0.14716772083848925, 0.27460967525708635, -0.0440731521230191, 0.044873758857007284, -0.013906911566433772, -0.13318349276079047, 0.11842250491453099, 0.3827523416642782, -0.2361981063576179, -0.2905181943452064, 0.02985949618709077, -0.3221521139223601, -0.09193045475428373, 0.16796166761975054, 0.0024342565784152125, 0.01235087051935179, -0.07970447337146665, 0.01306884583662933, -0.1261753358256767, -0.2648984281761034, 0.2781817508520375, 0.023799267116668438, 0.35635265279036593, 0.06643267814397917, 0.01277708209408316, -0.0382704669019391, 0.1113923858098184, 0.07205052839020629, -0.13997676894513475, -0.005805852691787229, 0.3005325197698024, -0.07485657401832188, 0.16094091059771223, -0.4293694141202829, -0.22994131187606656, 0.054353001655842274, 0.12578042112881135, 0.12650828731707855, -0.05520690206690809, -0.24682698303072806, 0.08038894796389824, -0.10404387648007504, -0.13980215945663127, -0.11419213237896772, -0.023169426614759674, -0.010205982502182605, -0.2513528369091661, 0.14711828526555443, 0.08990739118045485, 0.09061973265283675, -0.09869045636642881, -0.12376914158935698, -0.06379126627194945, 0.07633738669986562, 0.06437737928887069, 0.07849977515034483, 0.171721987176234, -0.1718362350948155, -0.06267647899057664, 0.3051452873746904, -0.04962957666819574, -0.04877607123991868, 0.18786485185584342, -0.23850455681439225, -0.11524636222666103, 0.1831454115749245, 0.12042417115135066, 0.08095723920186955, -0.1395695080954424, 0.05752293125752517, 0.008311576216520978, 0.16134580522615785, 0.03904249876226023, 0.08290896034786399, 0.21269110443962502, 0.1679571971877701, 0.03532231379133111, 0.1664480130871902, -0.13762216485584233, -0.021181368426432912, -0.23068092419260877, -0.1338921692763442, -0.17685406703770842, 0.08821299378137092, -0.0768014704118914, -0.2049651438908153, 0.3714715085700679, 0.1951264383920639, 0.19920440735688932, -0.07598376325675955, 0.18898930907508515, 0.11708090836624943, 0.08768402282837254, 0.043110244336839715, 0.2605800020722033, 0.15983261132750556, 0.12701733189333284, -0.28753010971097825, 0.13014397118322577, -0.025588533936173354] |
710.3738 | Fast optical preparation, control and read-out of single quantum dot
spin | We propose and demonstrate the sequential initialization, optical control,
and read-out of a single spin trapped in a semiconductor quantum dot. Hole spin
preparation is achieved through ionization of a resonantly excited
electron-hole pair. Optical control is observed as a coherent Rabi rotation
between the hole and charged exciton states, which is conditional on the
initial hole spin state. The spin-selective creation of the charged exciton
provides a photocurrent read-out of the hole spin state.
| cond-mat.mes-hall | we propose and demonstrate the sequential initialization optical control and readout of a single spin trapped in a semiconductor quantum dot hole spin preparation is achieved through ionization of a resonantly excited electronhole pair optical control is observed as a coherent rabi rotation between the hole and charged exciton states which is conditional on the initial hole spin state the spinselective creation of the charged exciton provides a photocurrent readout of the hole spin state | [['we', 'propose', 'and', 'demonstrate', 'the', 'sequential', 'initialization', 'optical', 'control', 'and', 'readout', 'of', 'a', 'single', 'spin', 'trapped', 'in', 'a', 'semiconductor', 'quantum', 'dot', 'hole', 'spin', 'preparation', 'is', 'achieved', 'through', 'ionization', 'of', 'a', 'resonantly', 'excited', 'electronhole', 'pair', 'optical', 'control', 'is', 'observed', 'as', 'a', 'coherent', 'rabi', 'rotation', 'between', 'the', 'hole', 'and', 'charged', 'exciton', 'states', 'which', 'is', 'conditional', 'on', 'the', 'initial', 'hole', 'spin', 'state', 'the', 'spinselective', 'creation', 'of', 'the', 'charged', 'exciton', 'provides', 'a', 'photocurrent', 'readout', 'of', 'the', 'hole', 'spin', 'state']] | [-0.1775004593686511, 0.24952128257602454, -0.0038942486971306305, 0.03595890305781116, 0.05350098540075123, -0.23226141434783737, 0.057115214600538214, 0.42138326331973075, -0.2160769454141458, -0.27682856080432733, -0.0379409326131766, -0.26713665325194597, 0.018016931967188916, 0.2255358991989245, 0.04766940057743341, 0.064425773594218, 0.05498037095492085, -0.031794001956780754, -0.0770107755002876, -0.1480404200591147, 0.2755140419118106, -0.0069606365589424965, 0.3169919324169556, 0.05699051987379789, 0.1868863031019767, 0.0890803120409449, 0.1319815564652284, -0.09815772707263629, -0.08267348663260539, 0.10605610195159292, 0.23581493488202493, -0.02480490111435453, 0.2419305411974589, -0.4105510610093673, -0.14973120687839886, 0.02072936004648606, 0.16623523368228538, 0.2786290234591191, -0.15539723099054148, -0.34874093865354855, -0.04259950771927833, -0.2193387095630169, -0.06188311638931433, -0.06382373241086801, -0.005630747222652038, -0.02429544645672043, -0.27022675464550655, 0.12609004206955432, 0.057370521755268175, -0.06615321571395422, -0.0938369645178318, 0.021396671416393172, -0.11679229877578716, 0.034617142919451, -0.04991834712214768, 0.03540562159071366, 0.29493906509131196, -0.12212552276750406, -0.2332441468971471, 0.2675726683313648, -0.08702438332140446, -0.13994360289225977, 0.1169987686475118, -0.21156566329300402, 0.02814589296778043, 0.1410316470513741, 0.11349993811299404, 0.15560687956710656, -0.13531510495891175, 0.03971273648009325, -0.014228638013203938, 0.22689617214413982, 0.04515776464094718, 0.18429169148206712, 0.3591325505822897, 0.23407486060013374, 0.0832621835793058, 0.18048009533435105, -0.182233794912075, -0.09401105823616186, -0.2161167447268963, -0.2086069542200615, -0.23517588769396147, 0.19697291985775034, 0.0023623755145429945, -0.16646915040910243, 0.4771485486626625, 0.05611671478797992, 0.16133646144221225, -0.09962317183768997, 0.2902177649239699, 0.13496701732122648, -0.011241867132484913, -0.0020591154880821704, 0.30114780088265736, 0.2110423313329617, 0.09996282532811165, -0.4132551390118897, 0.022054098496834436, 0.00947301035746932] |
710.3739 | (Non)Commutative Hopf algebras of trees and (quasi)symmetric functions | The Connes-Kreimer Hopf algebra of rooted trees, its dual, and the Foissy
Hopf algebra of of planar rooted trees are related to each other and to the
well-known Hopf algebras of symmetric and quasi-symmetric functions via a pair
of commutative diagrams. We show how this point of view can simplify
computations in the Connes-Kreimer Hopf algebra and its dual, particularly for
combinatorial Dyson-Schwinger equations.
| math.QA math.CO | the conneskreimer hopf algebra of rooted trees its dual and the foissy hopf algebra of of planar rooted trees are related to each other and to the wellknown hopf algebras of symmetric and quasisymmetric functions via a pair of commutative diagrams we show how this point of view can simplify computations in the conneskreimer hopf algebra and its dual particularly for combinatorial dysonschwinger equations | [['the', 'conneskreimer', 'hopf', 'algebra', 'of', 'rooted', 'trees', 'its', 'dual', 'and', 'the', 'foissy', 'hopf', 'algebra', 'of', 'of', 'planar', 'rooted', 'trees', 'are', 'related', 'to', 'each', 'other', 'and', 'to', 'the', 'wellknown', 'hopf', 'algebras', 'of', 'symmetric', 'and', 'quasisymmetric', 'functions', 'via', 'a', 'pair', 'of', 'commutative', 'diagrams', 'we', 'show', 'how', 'this', 'point', 'of', 'view', 'can', 'simplify', 'computations', 'in', 'the', 'conneskreimer', 'hopf', 'algebra', 'and', 'its', 'dual', 'particularly', 'for', 'combinatorial', 'dysonschwinger', 'equations']] | [-0.17471682766336016, 0.08223177403124282, -0.08428314410230087, 0.09648967229259142, -0.24110435205875547, -0.1136931261207792, 0.013546464935643598, 0.32422611210495234, -0.4491438631666824, -0.1587527400770341, 0.1442688306906348, -0.2216544667389826, -0.24157320745871402, 0.17246640265511815, -0.11948776720964815, -0.04724444406929251, 0.10037155536701903, 0.13167464924481465, -0.13339629979043366, -0.2140043902254547, 0.4364509676815942, 0.01950627870610333, 0.21453241856215755, 0.03237731446643011, 0.12124920370115433, 0.07206720266549382, -0.07849951017851708, 0.04613106818578672, -0.1768495890428312, 0.06334951641474618, 0.34016142641485203, 0.10385017139196862, 0.15571965121489484, -0.37432856345549226, -0.024910981956054457, 0.11691823024011683, 0.20439453556173248, 0.059298743693943834, 0.00038955488707870245, -0.2534108938998543, 0.06795390621846309, -0.23795518779297709, -0.09940018069755752, -0.06106649464345537, 0.05718930926377652, 0.009582090220646933, -0.227967232640367, -0.03262243587960256, 0.08923288787627826, 0.10510170746420044, -0.007698897916270653, -0.11677171377232298, -0.2020254642193322, 0.11017751794861397, -0.11284774666285102, 0.0667246439261362, 0.11805657733202679, -0.13765684855388827, -0.2779936573060695, 0.3366432520415401, 0.07743897417094558, -0.23286739099421538, 0.1776887427768088, -0.1847567453805823, -0.2107981511435355, 0.08437607729865704, 0.040902900876972126, 0.15444538665178698, -0.06834540766431019, 0.20070211679194472, -0.13896167562052142, -0.05867929367332181, 0.12329215015779482, -0.012483082158723846, 0.17518961589667015, 0.08834943731199019, 0.00011481191904749721, 0.2397003573287293, 0.09605574835586594, -0.13141735331737436, -0.2910775712280156, -0.11631545462660142, -0.04070778471941594, 0.06866248747974169, -0.2014327558235891, -0.2641139352344908, 0.4201306384638883, 0.15160708763141884, 0.1326326601861183, 0.10044743063917849, 0.17964336986187845, 0.10504808920086361, 0.13409316036268137, 0.00429745129076764, 0.12474523927085102, 0.35703181722783484, 0.05263757179636741, -0.1568613710005593, -0.09904589594589197, 0.3239745021564886] |
710.374 | Masses for the Local Group and the Milky Way | We use the very large Millennium Simulation of the concordance $\Lambda$CDM
cosmogony to calibrate the bias and error distribution of Timing Argument
estimators of the masses of the Local Group and of the Milky Way. From a large
number of isolated spiral-spiral pairs similar to the Milky Way/Andromeda
system, we find the interquartile range of the ratio of timing mass to true
mass to be a factor of 1.8, while the 5% and 95% points of the distribution of
this ratio are separated by a factor of 5.7. Here we define true mass as the
sum of the ``virial'' masses $M_{200}$ of the two dominant galaxies. For
current best values of the distance and approach velocity of Andromeda this
leads to a median likelihood estimate of the true mass of the Local Group of
$5.27\times 10^{12}\msun$, or $\log M_{LG}/M_\odot = 12.72$, with an
interquartile range of $[12.58, 12.83]$ and a 5% to 95% range of $[12.26,
13.01]$. Thus a 95% lower confidence limit on the true mass of the Local Group
is $1.81\times 10^{12}\msun$. A timing estimate of the Milky Way's mass based
on the large recession velocity observed for the distant satellite Leo I works
equally well, although with larger systematic uncertainties. It gives an
estimated virial mass for the Milky Way of $2.43 \times 10^{12}\msun$ with a
95% lower confidence limit of $0.80 \times 10^{12}\msun$.
| astro-ph | we use the very large millennium simulation of the concordance lambdacdm cosmogony to calibrate the bias and error distribution of timing argument estimators of the masses of the local group and of the milky way from a large number of isolated spiralspiral pairs similar to the milky wayandromeda system we find the interquartile range of the ratio of timing mass to true mass to be a factor of 18 while the 5 and 95 points of the distribution of this ratio are separated by a factor of 57 here we define true mass as the sum of the virial masses m_200 of the two dominant galaxies for current best values of the distance and approach velocity of andromeda this leads to a median likelihood estimate of the true mass of the local group of 527times 1012msun or log m_lgm_odot 1272 with an interquartile range of 1258 1283 and a 5 to 95 range of 1226 1301 thus a 95 lower confidence limit on the true mass of the local group is 181times 1012msun a timing estimate of the milky ways mass based on the large recession velocity observed for the distant satellite leo i works equally well although with larger systematic uncertainties it gives an estimated virial mass for the milky way of 243 times 1012msun with a 95 lower confidence limit of 080 times 1012msun | [['we', 'use', 'the', 'very', 'large', 'millennium', 'simulation', 'of', 'the', 'concordance', 'lambdacdm', 'cosmogony', 'to', 'calibrate', 'the', 'bias', 'and', 'error', 'distribution', 'of', 'timing', 'argument', 'estimators', 'of', 'the', 'masses', 'of', 'the', 'local', 'group', 'and', 'of', 'the', 'milky', 'way', 'from', 'a', 'large', 'number', 'of', 'isolated', 'spiralspiral', 'pairs', 'similar', 'to', 'the', 'milky', 'wayandromeda', 'system', 'we', 'find', 'the', 'interquartile', 'range', 'of', 'the', 'ratio', 'of', 'timing', 'mass', 'to', 'true', 'mass', 'to', 'be', 'a', 'factor', 'of', '18', 'while', 'the', '5', 'and', '95', 'points', 'of', 'the', 'distribution', 'of', 'this', 'ratio', 'are', 'separated', 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710.3741 | Additional Gradings in Khovanov Homology | The main goal of the present paper is to construct new invariants of knots
with additional structure by adding new gradings to the Khovanov complex. The
ideas given below work in the case of virtual knots, closed braids and some
other cases of knots with additional structure. The source of our additional
grading may be topological or combinatorial; it is axiomatised for many partial
cases. As a byproduct, this leads to a complex which in some cases coincides
(up to grading renormalisation) with the usual Khovanov complex and in some
other cases with the Lee-Rasmussen complex.
The grading we are going to construct behaves well with respect to some
generalisations of the Khovanov homology, e.g., Frobenius extensions. These new
homology theories give sharper estimates for some knot characteristics, such as
minimal crossing number, atom genus, slice genus, etc.
Our gradings generate a natural filtration on the usual Khovanov complex.
There exists a spectral sequence starting with our homology and converging to
the usual Khovanov homology.
| math.GT math.AG | the main goal of the present paper is to construct new invariants of knots with additional structure by adding new gradings to the khovanov complex the ideas given below work in the case of virtual knots closed braids and some other cases of knots with additional structure the source of our additional grading may be topological or combinatorial it is axiomatised for many partial cases as a byproduct this leads to a complex which in some cases coincides up to grading renormalisation with the usual khovanov complex and in some other cases with the leerasmussen complex the grading we are going to construct behaves well with respect to some generalisations of the khovanov homology eg frobenius extensions these new homology theories give sharper estimates for some knot characteristics such as minimal crossing number atom genus slice genus etc our gradings generate a natural filtration on the usual khovanov complex there exists a spectral sequence starting with our homology and converging to the usual khovanov homology | [['the', 'main', 'goal', 'of', 'the', 'present', 'paper', 'is', 'to', 'construct', 'new', 'invariants', 'of', 'knots', 'with', 'additional', 'structure', 'by', 'adding', 'new', 'gradings', 'to', 'the', 'khovanov', 'complex', 'the', 'ideas', 'given', 'below', 'work', 'in', 'the', 'case', 'of', 'virtual', 'knots', 'closed', 'braids', 'and', 'some', 'other', 'cases', 'of', 'knots', 'with', 'additional', 'structure', 'the', 'source', 'of', 'our', 'additional', 'grading', 'may', 'be', 'topological', 'or', 'combinatorial', 'it', 'is', 'axiomatised', 'for', 'many', 'partial', 'cases', 'as', 'a', 'byproduct', 'this', 'leads', 'to', 'a', 'complex', 'which', 'in', 'some', 'cases', 'coincides', 'up', 'to', 'grading', 'renormalisation', 'with', 'the', 'usual', 'khovanov', 'complex', 'and', 'in', 'some', 'other', 'cases', 'with', 'the', 'leerasmussen', 'complex', 'the', 'grading', 'we', 'are', 'going', 'to', 'construct', 'behaves', 'well', 'with', 'respect', 'to', 'some', 'generalisations', 'of', 'the', 'khovanov', 'homology', 'eg', 'frobenius', 'extensions', 'these', 'new', 'homology', 'theories', 'give', 'sharper', 'estimates', 'for', 'some', 'knot', 'characteristics', 'such', 'as', 'minimal', 'crossing', 'number', 'atom', 'genus', 'slice', 'genus', 'etc', 'our', 'gradings', 'generate', 'a', 'natural', 'filtration', 'on', 'the', 'usual', 'khovanov', 'complex', 'there', 'exists', 'a', 'spectral', 'sequence', 'starting', 'with', 'our', 'homology', 'and', 'converging', 'to', 'the', 'usual', 'khovanov', 'homology']] | [-0.1692158248979689, 0.0905246527115928, -0.08948274378710222, 0.09923928237034621, -0.13870310032649374, -0.19074306718255507, -0.01738999663815243, 0.35513668650159297, -0.34856639905526055, -0.3104434110293102, 0.0915590806774761, -0.23690504849911098, -0.19501001573957094, 0.18553495944744522, -0.1704222434910196, -0.023160255633340013, 0.07460590555309886, 0.08277610816038782, -0.08114656796120781, -0.26187291296721416, 0.40204205384432545, 0.004675149906244947, 0.1387386758664123, 0.057274954194748186, 0.0342461552567462, -0.04605505149811506, -0.028850107868315607, -0.024162482109359854, -0.17113163616939833, 0.13398991664303694, 0.27311221594785956, 0.026861913135933984, 0.14310183785231104, -0.38686587556447016, -0.1575027185168526, 0.14217198127596753, 0.14276237057040306, 0.053411765555743264, -0.026024771281432862, -0.27317627905385294, 0.08638904995864212, -0.17895319251692854, -0.17222384017858108, -0.1000580140389502, -0.01987812710037205, 0.025754774653384032, -0.18352707404509847, -0.022730482435535368, 0.05350408580497748, 0.12158774616475013, -0.013051720096150458, -0.12033632999036188, -0.027158828355689963, 0.14619330557704927, 0.0634783957176274, 0.06864510842871557, 0.08269833261644036, -0.16051950560784728, -0.17080347125543419, 0.37947248511879544, -0.039781030205010275, -0.2442595699131943, 0.21015323605956282, -0.1176136766940855, -0.22914242484072997, 0.15840451489202678, -0.017770062081470358, 0.11560281077485032, 0.002167747321214936, 0.10343325541464032, -0.09344433801157809, 0.0962204035150069, 0.10024785058198088, -0.007781710081006877, 0.14298870310573497, 0.07654061962895822, 0.11132416063202716, 0.17245947534684092, -0.012062675074004091, -0.08402501790011983, -0.321269007490539, -0.23432806988030944, -0.0829480306455502, 0.1384093481252288, -0.12585382916737084, -0.22341895943348547, 0.44722274726075006, 0.08976802287734023, 0.19089803959827917, 0.1532722540297716, 0.2907177453325414, 0.0527194625259343, 0.10045260982020054, 0.03255891539270013, 0.08120797503836845, 0.17328874010552947, 0.02273243346262905, -0.08842709626457314, -0.006349885504034053, 0.1805001663799375] |
710.3742 | Bayesian Online Changepoint Detection | Changepoints are abrupt variations in the generative parameters of a data
sequence. Online detection of changepoints is useful in modelling and
prediction of time series in application areas such as finance, biometrics, and
robotics. While frequentist methods have yielded online filtering and
prediction techniques, most Bayesian papers have focused on the retrospective
segmentation problem. Here we examine the case where the model parameters
before and after the changepoint are independent and we derive an online
algorithm for exact inference of the most recent changepoint. We compute the
probability distribution of the length of the current ``run,'' or time since
the last changepoint, using a simple message-passing algorithm. Our
implementation is highly modular so that the algorithm may be applied to a
variety of types of data. We illustrate this modularity by demonstrating the
algorithm on three different real-world data sets.
| stat.ML | changepoints are abrupt variations in the generative parameters of a data sequence online detection of changepoints is useful in modelling and prediction of time series in application areas such as finance biometrics and robotics while frequentist methods have yielded online filtering and prediction techniques most bayesian papers have focused on the retrospective segmentation problem here we examine the case where the model parameters before and after the changepoint are independent and we derive an online algorithm for exact inference of the most recent changepoint we compute the probability distribution of the length of the current run or time since the last changepoint using a simple messagepassing algorithm our implementation is highly modular so that the algorithm may be applied to a variety of types of data we illustrate this modularity by demonstrating the algorithm on three different realworld data sets | [['changepoints', 'are', 'abrupt', 'variations', 'in', 'the', 'generative', 'parameters', 'of', 'a', 'data', 'sequence', 'online', 'detection', 'of', 'changepoints', 'is', 'useful', 'in', 'modelling', 'and', 'prediction', 'of', 'time', 'series', 'in', 'application', 'areas', 'such', 'as', 'finance', 'biometrics', 'and', 'robotics', 'while', 'frequentist', 'methods', 'have', 'yielded', 'online', 'filtering', 'and', 'prediction', 'techniques', 'most', 'bayesian', 'papers', 'have', 'focused', 'on', 'the', 'retrospective', 'segmentation', 'problem', 'here', 'we', 'examine', 'the', 'case', 'where', 'the', 'model', 'parameters', 'before', 'and', 'after', 'the', 'changepoint', 'are', 'independent', 'and', 'we', 'derive', 'an', 'online', 'algorithm', 'for', 'exact', 'inference', 'of', 'the', 'most', 'recent', 'changepoint', 'we', 'compute', 'the', 'probability', 'distribution', 'of', 'the', 'length', 'of', 'the', 'current', 'run', 'or', 'time', 'since', 'the', 'last', 'changepoint', 'using', 'a', 'simple', 'messagepassing', 'algorithm', 'our', 'implementation', 'is', 'highly', 'modular', 'so', 'that', 'the', 'algorithm', 'may', 'be', 'applied', 'to', 'a', 'variety', 'of', 'types', 'of', 'data', 'we', 'illustrate', 'this', 'modularity', 'by', 'demonstrating', 'the', 'algorithm', 'on', 'three', 'different', 'realworld', 'data', 'sets']] | [-0.06258493338578514, -0.019778564561420353, -0.09518850399513862, 0.07186824502839174, -0.07952402408700436, -0.1414773739109348, 0.05134541146274257, 0.4352305792538183, -0.25098522341743645, -0.3488933228519662, 0.1670618407636149, -0.23948572452978364, -0.18836834573220196, 0.22844089688566913, -0.10207676830146478, 0.1222710630848139, 0.1095356443531013, 0.04201715240321521, -0.03008457282391776, -0.3042060505931399, 0.25444354622159154, 0.04586651709396392, 0.29872365578942534, 0.005344535518919916, 0.09314015706269337, 0.026665399090519973, -0.08767026847427976, -0.0035602220866296974, -0.11177740074786666, 0.10257864275398398, 0.3199190024868585, 0.22477951724218395, 0.3247165082421686, -0.41527542463902917, -0.21144612868249948, 0.11671721640575144, 0.1527213729452342, 0.12087047535626749, -0.031130827639052377, -0.3106815281839642, 0.0466959531394033, -0.15235109789812537, -0.017414893123454282, -0.08476642658933997, 0.022149881833632076, 0.036037240303370965, -0.2995249633219958, 0.08336012561838808, 0.00964352906240882, 0.09312187465173857, -0.023999229549164218, -0.12592066371913202, 0.08121238386956975, 0.12171820850344375, 0.11146816742589831, -0.020668694757789905, 0.1349150416141908, -0.13728702517193078, -0.1790866071225277, 0.3310853492734688, -0.02774738278905196, -0.16209756517117577, 0.16617566942669718, -0.04388482070062309, -0.22164369498246483, 0.09771376882812806, 0.22633744103035758, 0.1545463129744998, -0.16504794395129596, 0.06719865727728964, -0.030901251187814133, 0.14095690231105046, 0.04212744067689138, -0.05306257514083492, 0.1572195575056997, 0.2214112619603319, 0.061029271210593705, 0.10997425655618177, -0.1587360394020964, -0.08778948566344168, -0.24774307940554405, -0.12941506833553182, -0.1982669142906421, -0.052447772129172725, -0.13880873421221623, -0.19446830214001237, 0.4438726737297007, 0.21913401362502816, 0.19985957706313848, 0.08418155093178419, 0.3144668796764953, 0.10761459246444116, 0.006409599525587899, 0.09302313354232215, 0.1766925145913514, 0.049587415650187594, 0.08549027038638347, -0.1424117933085654, 0.14630701391641715, 0.01815291714322354] |
710.3743 | Current Algebra on the Torus | We derive the N-point one-loop correlation functions for the currents of an
arbitrary affine Kac-Moody algebra. The one-loop amplitudes, which are elliptic
functions defined on the torus Riemann surface, are specified by group
invariant tensors and certain constant tau-dependent functions. We compute the
elliptic functions via a generating function, and explicitly construct the
invariant tensor functions recursively in terms of Young tableaux. The lowest
tensors are related to the character formula of the representation of the
affine algebra. These general current algebra loop amplitudes provide a
building block for open twistor string theory, among other applications.
| hep-th math.QA | we derive the npoint oneloop correlation functions for the currents of an arbitrary affine kacmoody algebra the oneloop amplitudes which are elliptic functions defined on the torus riemann surface are specified by group invariant tensors and certain constant taudependent functions we compute the elliptic functions via a generating function and explicitly construct the invariant tensor functions recursively in terms of young tableaux the lowest tensors are related to the character formula of the representation of the affine algebra these general current algebra loop amplitudes provide a building block for open twistor string theory among other applications | [['we', 'derive', 'the', 'npoint', 'oneloop', 'correlation', 'functions', 'for', 'the', 'currents', 'of', 'an', 'arbitrary', 'affine', 'kacmoody', 'algebra', 'the', 'oneloop', 'amplitudes', 'which', 'are', 'elliptic', 'functions', 'defined', 'on', 'the', 'torus', 'riemann', 'surface', 'are', 'specified', 'by', 'group', 'invariant', 'tensors', 'and', 'certain', 'constant', 'taudependent', 'functions', 'we', 'compute', 'the', 'elliptic', 'functions', 'via', 'a', 'generating', 'function', 'and', 'explicitly', 'construct', 'the', 'invariant', 'tensor', 'functions', 'recursively', 'in', 'terms', 'of', 'young', 'tableaux', 'the', 'lowest', 'tensors', 'are', 'related', 'to', 'the', 'character', 'formula', 'of', 'the', 'representation', 'of', 'the', 'affine', 'algebra', 'these', 'general', 'current', 'algebra', 'loop', 'amplitudes', 'provide', 'a', 'building', 'block', 'for', 'open', 'twistor', 'string', 'theory', 'among', 'other', 'applications']] | [-0.18666819946277732, 0.1539845134989264, -0.06460994720691815, 0.15100199524022173, -0.11751578656306567, -0.09415436107277249, -0.05350599653684185, 0.3224080165964551, -0.3006437932466118, -0.20782915054587647, 0.10153747386236016, -0.2322701843562148, -0.19969964614817096, 0.17047959352930775, -0.017991638102103025, 0.05906233438872732, -0.0005063139760750346, 0.05665486911584594, -0.18401599832092566, -0.2539972913024637, 0.42325433032722987, -0.02368849997583311, 0.25899418216431513, 0.06582171435972366, 0.1444302736199461, 0.04265760907461905, -0.08123852701100986, -0.07279644720741392, -0.11048497462252271, 0.1621315471396277, 0.31950112611229997, 0.07732443404286944, 0.09536611166549847, -0.4142724397437026, -0.1102915561447541, 0.12335745697297777, 0.14604004350743102, 0.04799600578917307, 0.014111562024481827, -0.23829607849863046, 0.05242996752591959, -0.19897378854996836, -0.17457799002780425, -0.10863850661068379, 0.05540335566911381, -0.0016873262259953965, -0.24803885375149548, 0.040821560707020886, -0.005924684764371098, 0.08863256682525389, -0.09166480717916177, -0.16399273616237528, -0.053056132135679945, 0.12240081317334746, -0.01465271872196657, 0.10950331293861382, 0.1434415204130346, -0.15563401326168483, -0.16144082605023868, 0.30608581150105846, -0.04873380965242783, -0.3416635596270983, 0.05579285172279924, -0.17585069926280994, -0.1625602895898434, 0.08680215565254912, 0.12545856893605864, 0.15145744070954, -0.1226560360713241, 0.21124410332292123, -0.08179458609265566, 0.020935754751311226, 0.10704696125079256, 0.01861863076737791, 0.1967365221159222, -0.02623736943739156, 0.026886517597934773, 0.18693937284660933, 0.07097349029451532, -0.09495077407336794, -0.40916486162071425, -0.15293273375330804, -0.1005806039829622, 0.07501597366353963, -0.18043808897073177, -0.26646732561251457, 0.42860416910843924, 0.0471168700120567, 0.15417887739082894, 0.16968620872012252, 0.20473914513907707, 0.22388458804925904, 0.15729361927030064, 0.06876229620441639, 0.10846507485257462, 0.2278496517634873, -0.041891360427446976, -0.18569804197371317, -0.028301034978843138, 0.25688125492888503] |
710.3744 | Combinatorial Hopf algebras and Towers of Algebras | Bergeron and Li have introduced a set of axioms which guarantee that the
Grothendieck groups of a tower of algebras $\bigoplus_{n\ge0}A_n$ can be
endowed with the structure of graded dual Hopf algebras. Hivert and Nzeutzhap,
and independently Lam and Shimozono constructed dual graded graphs from
primitive elements in Hopf algebras. In this paper we apply the composition of
these constructions to towers of algebras. We show that if a tower
$\bigoplus_{n\ge0}A_n$ gives rise to graded dual Hopf algebras then we must
have $\dim(A_n)=r^nn!$ where $r = \dim(A_1)$.
| math.CO math.RT | bergeron and li have introduced a set of axioms which guarantee that the grothendieck groups of a tower of algebras bigoplus_nge0a_n can be endowed with the structure of graded dual hopf algebras hivert and nzeutzhap and independently lam and shimozono constructed dual graded graphs from primitive elements in hopf algebras in this paper we apply the composition of these constructions to towers of algebras we show that if a tower bigoplus_nge0a_n gives rise to graded dual hopf algebras then we must have dima_nrnn where r dima_1 | [['bergeron', 'and', 'li', 'have', 'introduced', 'a', 'set', 'of', 'axioms', 'which', 'guarantee', 'that', 'the', 'grothendieck', 'groups', 'of', 'a', 'tower', 'of', 'algebras', 'bigoplus_nge0a_n', 'can', 'be', 'endowed', 'with', 'the', 'structure', 'of', 'graded', 'dual', 'hopf', 'algebras', 'hivert', 'and', 'nzeutzhap', 'and', 'independently', 'lam', 'and', 'shimozono', 'constructed', 'dual', 'graded', 'graphs', 'from', 'primitive', 'elements', 'in', 'hopf', 'algebras', 'in', 'this', 'paper', 'we', 'apply', 'the', 'composition', 'of', 'these', 'constructions', 'to', 'towers', 'of', 'algebras', 'we', 'show', 'that', 'if', 'a', 'tower', 'bigoplus_nge0a_n', 'gives', 'rise', 'to', 'graded', 'dual', 'hopf', 'algebras', 'then', 'we', 'must', 'have', 'dima_nrnn', 'where', 'r', 'dima_1']] | [-0.14188558362559023, 0.1148751476240984, -0.09503170235800636, 0.05410812075210578, -0.1472788908833032, -0.15742094886029162, -0.03515608279533819, 0.3421219091144312, -0.4008274606642235, -0.21013774960133505, 0.1118382545361991, -0.18650938650166773, -0.19583517976711134, 0.14313964528895645, -0.21150722674441985, -0.11018080947673824, 0.04226548685860562, 0.12452738280464189, -0.07528210502589144, -0.3079213837515114, 0.43630312327071125, 0.01912571374517697, 0.18418062890105577, 0.013446909947747207, 0.12110751511596413, 0.0006087321328021675, -0.019074501817574703, 0.0702280638990531, -0.20217735358006853, 0.1179300365767565, 0.3067010468522827, 0.07813468582210052, 0.1830948586056727, -0.36217762322266056, -0.03522112985781158, 0.16504030977095285, 0.17587142496044378, 0.012671543940262174, -0.03842875612787453, -0.25818533383040543, 0.1271828698914453, -0.26975997793207684, -0.09631780649995408, -0.07031152303139847, 0.06794415304369955, 0.029897103074893176, -0.290903965289654, -0.07228196096039904, 0.0840852029918951, 0.13361839074585363, -0.10314966014485402, -0.0917753528758704, -0.12728367226074888, 0.07796327093705895, -0.09778159719903066, -0.011482057257005608, 0.07230458020075527, -0.025067894475489676, -0.23434526449159146, 0.29856281812830143, -0.02397989490664149, -0.18905667631875678, 0.1386565044648519, -0.1805593425236889, -0.1951381892740098, 0.09417957278439798, 0.030061532406652547, 0.10743062281406048, -0.02724135940381135, 0.20511771789443375, -0.1910628545131669, -0.005382282681852938, 0.16269213101456323, 0.03865288793816265, 0.13697802275419235, 0.06669147988130529, 0.012780735347734159, 0.1507999417133607, 0.10341534963865058, -0.008914186776312718, -0.31217129441000613, -0.19889449769159756, -0.029400186147540808, 0.1366832851241511, -0.0827202649684679, -0.2047675201158791, 0.42102824834439095, 0.11620623374312937, 0.1706997221560184, 0.11349572604157435, 0.13058733452302235, 0.016645663509219717, 0.1815728618909257, 0.047216953440423474, 0.11741250261933689, 0.32789684898859583, 0.026821539505680808, -0.08986186523745061, -0.06239072040441525, 0.2873910232166569] |
710.3745 | Parametric downconversion with optimized spectral properties in
nonlinear photonic crystals | We study the joint spectral properties of photon pairs generated by
spontaneous parametric down-conversion in a one-dimensional nonlinear photonic
crystal in a collinear, degenerate, type-II geometry. We show that the photonic
crystal properties may be exploited to compensate for material dispersion and
obtain photon pairs that are nearly factorable, in principle, for arbitrary
materials and spectral regions, limited by the ability to fabricate the
nonlinear crystal with the required periodic variation in the refractive
indices for the ordinary and extraordinary waves.
| quant-ph | we study the joint spectral properties of photon pairs generated by spontaneous parametric downconversion in a onedimensional nonlinear photonic crystal in a collinear degenerate typeii geometry we show that the photonic crystal properties may be exploited to compensate for material dispersion and obtain photon pairs that are nearly factorable in principle for arbitrary materials and spectral regions limited by the ability to fabricate the nonlinear crystal with the required periodic variation in the refractive indices for the ordinary and extraordinary waves | [['we', 'study', 'the', 'joint', 'spectral', 'properties', 'of', 'photon', 'pairs', 'generated', 'by', 'spontaneous', 'parametric', 'downconversion', 'in', 'a', 'onedimensional', 'nonlinear', 'photonic', 'crystal', 'in', 'a', 'collinear', 'degenerate', 'typeii', 'geometry', 'we', 'show', 'that', 'the', 'photonic', 'crystal', 'properties', 'may', 'be', 'exploited', 'to', 'compensate', 'for', 'material', 'dispersion', 'and', 'obtain', 'photon', 'pairs', 'that', 'are', 'nearly', 'factorable', 'in', 'principle', 'for', 'arbitrary', 'materials', 'and', 'spectral', 'regions', 'limited', 'by', 'the', 'ability', 'to', 'fabricate', 'the', 'nonlinear', 'crystal', 'with', 'the', 'required', 'periodic', 'variation', 'in', 'the', 'refractive', 'indices', 'for', 'the', 'ordinary', 'and', 'extraordinary', 'waves']] | [-0.10361036376015824, 0.1970220176204119, -0.03311767350928283, 0.03196896512038362, -0.10111633520343422, -0.13444109558829187, 0.027319619446463973, 0.47837516467696356, -0.2748453642851041, -0.27770264883652146, 0.03687029512294419, -0.27575716794824895, -0.1206320966248987, 0.22093239922096586, -0.012377659629248543, 0.11906654524536413, -0.006704691055886171, -0.07681154194115489, -0.0595833047632312, -0.14044880084578454, 0.3029659163856442, -0.01323346037670602, 0.3646899998923879, -0.006503843909336461, 0.11548290335009863, 0.039344615722649995, 0.026293802569493836, -0.02934042495433931, -0.12183234740977814, 0.15953126681083238, 0.2662083723662812, -0.05037305330466709, 0.19956877355659267, -0.4097312743327132, -0.2504655990726602, 0.10566128692647189, 0.11432762287074218, 0.12988428265592197, -0.0915948135352889, -0.26335311409683876, 0.08046413183120298, -0.11353013784636135, -0.18140417666254957, -0.06990563502696193, -0.060287020048471515, 0.0459742105399247, -0.256551888541399, 0.05143864954790146, 0.07034836654884764, 0.004123485976266732, -0.022927155413515407, 0.012953317896635444, -0.08313986868310122, 0.014911081687903699, -0.03776582806474633, -0.09299255756626802, 0.08314476345010378, -0.14356053679215688, -0.15861494032045206, 0.40154922731654763, -0.07229242278166859, -0.19211685997836384, 0.12346294031903883, -0.17361496250938485, -0.05339191096869332, 0.2078235193880068, 0.21142663389593822, 0.09120441397169123, -0.11474800150105614, 0.03911095335978992, -0.010435235416401683, 0.21418471969800634, 0.11644884496122415, 0.13076636984507428, 0.22590551198816594, 0.10019558914764612, 0.009686555253502763, 0.18929991538113236, -0.0852732618201386, 0.005968902375043174, -0.2729405743518361, -0.17733565613305496, -0.20772737679129213, 0.04000955198052121, -0.09647333358804679, -0.19095605841757338, 0.42910158324894715, 0.07521086758330327, 0.1455329420780878, -0.05508694682201302, 0.23164097191535948, 0.14120543520483705, 0.07549853904609695, 0.008960944617650023, 0.32348379081425566, 0.17782162845617644, 0.06391539015695108, -0.24457354503281323, 0.0019111669461392327, 0.004534143563589932] |
710.3746 | On Algebraic Shift Equivalence of Matrices over Polynomial Rings | The paper studies algebraic strong shift equivalence of matrices over
$n$-variable polynomial rings over a principal ideal domain $D$($n\leq 2$). It
is proved that in the case $n=1$, every non-zero matrix over $D[x]$ has a full
rank factorization and every non-nilpotent matrix over $D[x]$ is algebraically
strong shift equivalent to a nonsingular matrix. In the case $n=2$, an example
of non-nilpotent matrix over $\mathbb{R}[x,y,z]=\mathbb{R}[x][y,z]$, which can
not be algebraically shift equivalent to a nonsingular matrix, is given.
| math.RA math.DS | the paper studies algebraic strong shift equivalence of matrices over nvariable polynomial rings over a principal ideal domain dnleq 2 it is proved that in the case n1 every nonzero matrix over dx has a full rank factorization and every nonnilpotent matrix over dx is algebraically strong shift equivalent to a nonsingular matrix in the case n2 an example of nonnilpotent matrix over mathbbrxyzmathbbrxyz which can not be algebraically shift equivalent to a nonsingular matrix is given | [['the', 'paper', 'studies', 'algebraic', 'strong', 'shift', 'equivalence', 'of', 'matrices', 'over', 'nvariable', 'polynomial', 'rings', 'over', 'a', 'principal', 'ideal', 'domain', 'dnleq', '2', 'it', 'is', 'proved', 'that', 'in', 'the', 'case', 'n1', 'every', 'nonzero', 'matrix', 'over', 'dx', 'has', 'a', 'full', 'rank', 'factorization', 'and', 'every', 'nonnilpotent', 'matrix', 'over', 'dx', 'is', 'algebraically', 'strong', 'shift', 'equivalent', 'to', 'a', 'nonsingular', 'matrix', 'in', 'the', 'case', 'n2', 'an', 'example', 'of', 'nonnilpotent', 'matrix', 'over', 'mathbbrxyzmathbbrxyz', 'which', 'can', 'not', 'be', 'algebraically', 'shift', 'equivalent', 'to', 'a', 'nonsingular', 'matrix', 'is', 'given']] | [-0.17981536382188398, 0.08855089824200453, -0.056844480546812216, 0.015336224921047687, -0.04830157463128368, -0.18673373476912578, -0.07814463224106778, 0.3904728551208973, -0.3505143161614736, -0.09260647645841043, 0.12091429141970972, -0.2707932741070787, -0.17111958968142668, 0.16708508405834435, -0.05735470574349165, -0.008799305533369382, 0.04896880735332767, 0.15937589939683675, -0.16932165790038803, -0.32624558060740433, 0.3368280916909377, -0.043247551346818604, 0.19231039319187404, 0.038418929483741524, 0.14229804648707312, 0.046087587469567856, 0.025250112091501555, 0.039448881645997365, -0.07861909073205121, 0.05745236084175607, 0.3577228313187758, 0.14398972584555547, 0.23491205343045293, -0.33433384851474934, -0.149165262474368, 0.2773406973729531, 0.18771717787409822, 0.029644996391919753, 0.033418244233665365, -0.21718931570028266, 0.18922182781000932, -0.23357756825784842, -0.12110178131610155, -0.033988294859106344, 0.1335987056683128, -0.07407831187049548, -0.34093709688012797, -0.012367500786979993, 0.09683327592909335, 0.12063831063608328, -0.01623748119920492, -0.11689498375946035, 0.05228657039503257, 0.03114711832255125, -0.026434816969558596, 0.051486790385097264, 0.06315027133716891, -0.01569578814630707, -0.062127575585618613, 0.3506443374355634, -0.09378968631227812, -0.2294687699029843, 0.07120907788475354, -0.1577216704065601, -0.08125068818529448, 0.19702898226678373, 0.05063874360173941, 0.13679391802016957, -0.031571427695453166, 0.2646012579021044, -0.18310694098472596, 0.18331138094266256, 0.0750344277669986, -0.036705785983552536, 0.12350680633758505, 0.023574593588709832, 0.14599214763070145, 0.09981381726606439, 0.0770613393932581, -0.05149010501801968, -0.3465116733312607, -0.17355799159035087, -0.19738704354812703, 0.18478632732313902, -0.14688224082482823, -0.1716014675050974, 0.4232652086392045, 0.04037387675916155, 0.1724716913079222, 0.0869478290171052, 0.2263412238533298, 0.13367663484998046, 0.07928474980406464, 0.05717148995026946, 0.07689627741773923, 0.2817558210839828, 0.0012755243588859835, -0.15994185593600074, 0.04306286936004956, 0.15037787872056166] |
710.3747 | Quantum parallelism as a tool for ensemble spin dynamics calculations | Efficient simulations of quantum evolutions of spin-1/2 systems are relevant
for ensemble quantum computation as well as in typical NMR experiments. We
propose an efficient method to calculate the dynamics of an observable provided
that the initial excitation is "local". It resorts a single entangled pure
initial state built as a superposition, with random phases, of the pure
elements that compose the mixture. This ensures self-averaging of any
observable, drastically reducing the calculation time. The procedure is tested
for two representative systems: a spin star (cluster with random long range
interactions) and a spin ladder.
| quant-ph cond-mat.mes-hall physics.chem-ph | efficient simulations of quantum evolutions of spin12 systems are relevant for ensemble quantum computation as well as in typical nmr experiments we propose an efficient method to calculate the dynamics of an observable provided that the initial excitation is local it resorts a single entangled pure initial state built as a superposition with random phases of the pure elements that compose the mixture this ensures selfaveraging of any observable drastically reducing the calculation time the procedure is tested for two representative systems a spin star cluster with random long range interactions and a spin ladder | [['efficient', 'simulations', 'of', 'quantum', 'evolutions', 'of', 'spin12', 'systems', 'are', 'relevant', 'for', 'ensemble', 'quantum', 'computation', 'as', 'well', 'as', 'in', 'typical', 'nmr', 'experiments', 'we', 'propose', 'an', 'efficient', 'method', 'to', 'calculate', 'the', 'dynamics', 'of', 'an', 'observable', 'provided', 'that', 'the', 'initial', 'excitation', 'is', 'local', 'it', 'resorts', 'a', 'single', 'entangled', 'pure', 'initial', 'state', 'built', 'as', 'a', 'superposition', 'with', 'random', 'phases', 'of', 'the', 'pure', 'elements', 'that', 'compose', 'the', 'mixture', 'this', 'ensures', 'selfaveraging', 'of', 'any', 'observable', 'drastically', 'reducing', 'the', 'calculation', 'time', 'the', 'procedure', 'is', 'tested', 'for', 'two', 'representative', 'systems', 'a', 'spin', 'star', 'cluster', 'with', 'random', 'long', 'range', 'interactions', 'and', 'a', 'spin', 'ladder']] | [-0.13137937652339277, 0.22180656492005493, -0.0828193371067755, 0.04882840308434281, 0.014450240429294737, -0.149428921702661, 0.008041532195516322, 0.3719663360205136, -0.2548074284274327, -0.28835183507272677, 0.07958187887714685, -0.23138976780403603, -0.07790550560151276, 0.18678207573922057, 0.07874471323203149, 0.08995407948172406, 0.09271642899287766, 0.033279476751034195, -0.10835130893576302, -0.21531220035333382, 0.2892089556902647, 0.05714610744218685, 0.2855983560512725, -0.03636514131273878, 0.13197548040433935, 0.05117180508708483, 0.030077246262838964, 0.004545623942670461, -0.07105582048212741, 0.06929279712617005, 0.24380789258958477, 0.10404662413424567, 0.21844694257566805, -0.41806487562625033, -0.22145604386337495, 0.09631170166754409, 0.14883482078286378, 0.20328849590591028, -0.049340761974944095, -0.2728422590384358, 0.027074600197374822, -0.2143893979979973, -0.1496645477061209, -0.13410827922389695, 0.01788783405760401, 0.004721123200694197, -0.28836127585290294, 0.09873702919331233, 0.05536095764745321, 0.025720109636160105, -0.0478023856143026, -0.09257627035442152, 0.0011846777541857016, 0.13079879216874313, -0.05926458883148275, 0.01767842952946299, 0.17066741676412914, -0.10173823887139166, -0.16854749139594405, 0.38424514924225056, -0.07476210287208424, -0.17926092413254083, 0.20064454796282868, -0.08389899997595134, -0.12917463938877183, 0.10233369441212792, 0.12431104988791049, 0.15285141819009657, -0.15498121149445834, 0.03596735963242521, -0.020303971040993928, 0.2007567429339121, -0.019288021725553432, 0.06889604327612017, 0.23101032429227703, 0.17786479304654915, 0.0540869552642107, 0.18086596856776035, -0.07186874577677564, -0.1696049042646528, -0.2781873053319654, -0.1583509167778845, -0.25415567279254137, 0.07920512210969863, -0.08265782893178862, -0.205801275343095, 0.38435661051618425, 0.1440099966307906, 0.19041207592542234, 0.024730579954523005, 0.280954839019595, 0.11773298567185472, 0.041564188245683906, 0.04734299956624837, 0.19055610823101904, 0.14297830970271638, 0.052681021676643895, -0.2605397822139294, 0.07222434365141549, 0.012234197471192794] |
710.3748 | Searching for Star Formation Outside Galaxies: Multiwavelength Analysis
of the Intragroup Medium of HCG100 | We used multiwavelength data (HI, FUV, NUV, R) to search for evidence of star
formation in the intragroup medium of the Hickson Compact Group 100. We find
that young star-forming regions are located in the intergalactic HI clouds of
the compact group which extend to over 130 kpc away from the main galaxies. A
tidal dwarf galaxy candidate is located in the densest region of the HI tail,
61 kpc from the brightest group member and its age is estimated to be only 3.3
Myr. Fifteen other intragroup HII regions and TDG candidates are detected in
the GALEX FUV image and within a field 10'x10' encompassing the HI tail. They
have ages <200 Myr, HI masses of 10^(9.2-10.4) Msun, 0.001< SFR <0.01 Msun
yr^-1, and stellar masses 10^4.3--10^6.5 Msun. The HI clouds to which many of
them are associated have column densities about one order of magnitude lower
than N(HI)~10^21 cm^-2.
| astro-ph | we used multiwavelength data hi fuv nuv r to search for evidence of star formation in the intragroup medium of the hickson compact group 100 we find that young starforming regions are located in the intergalactic hi clouds of the compact group which extend to over 130 kpc away from the main galaxies a tidal dwarf galaxy candidate is located in the densest region of the hi tail 61 kpc from the brightest group member and its age is estimated to be only 33 myr fifteen other intragroup hii regions and tdg candidates are detected in the galex fuv image and within a field 10x10 encompassing the hi tail they have ages 200 myr hi masses of 1092104 msun 0001 sfr 001 msun yr1 and stellar masses 10431065 msun the hi clouds to which many of them are associated have column densities about one order of magnitude lower than nhi1021 cm2 | [['we', 'used', 'multiwavelength', 'data', 'hi', 'fuv', 'nuv', 'r', 'to', 'search', 'for', 'evidence', 'of', 'star', 'formation', 'in', 'the', 'intragroup', 'medium', 'of', 'the', 'hickson', 'compact', 'group', '100', 'we', 'find', 'that', 'young', 'starforming', 'regions', 'are', 'located', 'in', 'the', 'intergalactic', 'hi', 'clouds', 'of', 'the', 'compact', 'group', 'which', 'extend', 'to', 'over', '130', 'kpc', 'away', 'from', 'the', 'main', 'galaxies', 'a', 'tidal', 'dwarf', 'galaxy', 'candidate', 'is', 'located', 'in', 'the', 'densest', 'region', 'of', 'the', 'hi', 'tail', '61', 'kpc', 'from', 'the', 'brightest', 'group', 'member', 'and', 'its', 'age', 'is', 'estimated', 'to', 'be', 'only', '33', 'myr', 'fifteen', 'other', 'intragroup', 'hii', 'regions', 'and', 'tdg', 'candidates', 'are', 'detected', 'in', 'the', 'galex', 'fuv', 'image', 'and', 'within', 'a', 'field', '10x10', 'encompassing', 'the', 'hi', 'tail', 'they', 'have', 'ages', '200', 'myr', 'hi', 'masses', 'of', '1092104', 'msun', '0001', 'sfr', '001', 'msun', 'yr1', 'and', 'stellar', 'masses', '10431065', 'msun', 'the', 'hi', 'clouds', 'to', 'which', 'many', 'of', 'them', 'are', 'associated', 'have', 'column', 'densities', 'about', 'one', 'order', 'of', 'magnitude', 'lower', 'than', 'nhi1021', 'cm2']] | [-0.03132692575958129, 0.09089219730624275, -0.011128835738762407, 0.10862889300522117, -0.10669491017186963, 0.001166670147810962, 0.06035333800419058, 0.5183151811109604, -0.0851610244245495, -0.35550607851630933, 0.030068338285452006, -0.32308408122106985, 0.05075443408772903, 0.16563546536899348, -0.005909162227613411, -0.09977921851119341, 0.012961550580331351, -0.08431436954619917, -0.04256254604410355, -0.34481169302268205, 0.2600697090698255, 0.015463465201743954, 0.06461473843365959, -0.04863266665582872, 0.05163179771940073, -0.21519668184958612, -0.09427015404720362, -0.11479493330635533, -0.2116532824586741, 0.03638964389903924, 0.29349488888967884, 0.12457706338751155, 0.23846585401396797, -0.3059068310666024, -0.18805290449007944, 0.05443101372519458, 0.24095638247987106, -0.05840933967752986, -0.07434750212092153, -0.35608906237836424, 0.12110325133717442, -0.2436187332401656, -0.19129160851573673, 0.18300109591045594, 0.07207409387558221, 0.022344332880567055, -0.1843000769841711, 0.22818726090387115, -0.05644612539263845, 0.11995934538945958, -0.1296674294650517, -0.11967487482517655, -0.08463518964630123, 0.06460562841243085, -0.014637382685307515, 0.14265351241290872, 0.3019903657888692, -0.1566769566239059, 0.08061362807387235, 0.4318702695922725, -0.06320590395576751, 0.10510503339920999, 0.2668962296589303, -0.25047146084142624, -0.1887026326195966, 0.19622144884291431, 0.14837186425496396, 0.10460363982585133, -0.19052577615287658, 0.003199876202710879, -0.07703961712320813, 0.25066589025428165, 0.06626420011712439, 0.10857035335307906, 0.35708992533083705, 0.049196766538394464, 0.09751763501215563, 0.0499574848115633, -0.3185904670962545, -0.020642742826099937, -0.18712140971517846, -0.0895852922820612, -0.09600461766948118, 0.10697777585694378, -0.20108217127720285, -0.063483056731727, 0.3015966036772305, 0.12021743830346905, 0.22609696529233023, 0.07515540133022729, 0.29647773699331526, 0.026778720077001363, 0.1826417955186067, 0.19411730662466506, 0.27420242794952987, 0.23948764549316587, -0.016689733392087038, -0.1500974418304395, 0.04112217114684549, 0.00306732121641068] |
710.3749 | Completions of quantum coordinate rings | Given an iterated skew polynomial ring C[y_1;t_1,d_1]ldots [y_n;t_n,d_n] over
a complete local ring C with maximal ideal m, we prove, under suitable
assumptions, that the completion at the ideal m + < y_1,y_2,ldots,y_n> is an
iterated skew power series ring. Under further conditions, this completion is a
local, noetherian, Auslander regular domain. Applicable examples include
quantum matrices, quantum symplectic spaces, and quantum Euclidean space.
| math.RA math.QA | given an iterated skew polynomial ring cy_1t_1d_1ldots y_nt_nd_n over a complete local ring c with maximal ideal m we prove under suitable assumptions that the completion at the ideal m y_1y_2ldotsy_n is an iterated skew power series ring under further conditions this completion is a local noetherian auslander regular domain applicable examples include quantum matrices quantum symplectic spaces and quantum euclidean space | [['given', 'an', 'iterated', 'skew', 'polynomial', 'ring', 'cy_1t_1d_1ldots', 'y_nt_nd_n', 'over', 'a', 'complete', 'local', 'ring', 'c', 'with', 'maximal', 'ideal', 'm', 'we', 'prove', 'under', 'suitable', 'assumptions', 'that', 'the', 'completion', 'at', 'the', 'ideal', 'm', 'y_1y_2ldotsy_n', 'is', 'an', 'iterated', 'skew', 'power', 'series', 'ring', 'under', 'further', 'conditions', 'this', 'completion', 'is', 'a', 'local', 'noetherian', 'auslander', 'regular', 'domain', 'applicable', 'examples', 'include', 'quantum', 'matrices', 'quantum', 'symplectic', 'spaces', 'and', 'quantum', 'euclidean', 'space']] | [-0.20719264365606388, 0.04666348064162421, -0.07303845329147021, 0.05371964660717837, -0.08218394145290604, -0.1872698756613595, -0.09284258861552482, 0.3649858072147531, -0.40211657882999563, -0.07277960923768706, 0.135074500870591, -0.16540095846216052, -0.13319331349142022, 0.2146311020557532, -0.16093245417005936, 0.021153044807961433, 0.050762248462287045, 0.10607946335764254, -0.15245924785464876, -0.37960011246850933, 0.3793838481908127, 0.04615167530955968, 0.23568095648819107, -0.011079053696387021, 0.11340677485627643, 0.05592830004012686, -0.04004858333175465, 0.03926460377791091, -0.2070160773707311, 0.05227657956055413, 0.3020929721326141, 0.06509399475229873, 0.22768770000439578, -0.4226214152650308, -0.10119475220661547, 0.2307946437622531, 0.07594715138518457, -0.034040708000124514, -0.012921455187991388, -0.26900886987351763, 0.1526833965869273, -0.2096726699590178, -0.16992572515066398, -0.09150882660395514, 0.11043621011283565, 0.0023240455252639316, -0.37334403938661187, -0.05050339616866688, 0.14519373281716796, 0.18757598365704387, 0.003101119155979763, -0.020900019523450882, 0.06415602871043197, 0.010618824401270535, -0.13934930308990306, -0.014927889358536419, 0.17586629136102433, -0.03899743363371719, -0.1261811565323654, 0.3574953985921407, -0.08953670311277195, -0.23059710640049838, 0.13342161468719527, -0.1540515851308355, -0.07466185094504538, 0.12830664429782054, -0.01754220341474323, 0.14862019322433714, -0.04969393965488268, 0.29119155576385525, -0.1958597281600459, 0.06980190389805425, 0.10509725199159929, 0.07979698097964717, 0.18641469621304738, 0.044544677348744316, 0.19880559601795356, 0.15667507245000137, 0.025005835597797975, -0.08399080911599952, -0.38787054392051395, -0.18900494403758292, -0.18281753171803589, 0.19747398317775736, -0.18308160431121706, -0.14846857542456207, 0.3656138634324958, 0.015088278421406018, 0.14716930969981318, 0.11395024329865888, 0.23269159245794102, 0.04956707734046346, 0.04993996291887015, 0.10703692635742285, 0.014808205035278353, 0.1952263597967261, 0.005814102926228385, -0.16782243730168853, -0.030224392664129452, 0.16726347399970232] |
710.375 | An Imaging Fabry-Perot System for the Robert Stobie Spectrograph on the
Southern African Large Telescope | We present the design of the Fabry-Perot system of the Robert Stobie
Spectrograph on the 10-meter class Southern African Large Telescope and its
characterization as measured in the laboratory. This system provides
spectroscopic imaging at any desired wavelength spanning a bandpass 430 - 860
nm, at four different spectral resolving powers ranging from 300 to 9000. Our
laboratory tests revealed a wavelength dependence of the etalon gap and
parallelism with a maximum variation between 600 - 720 nm that arises because
of the complex structure of the broadband multi-layer dielectric coatings. We
also report an unanticipated optical effect of this multi-layer coating
structure that produces a significant, and wavelength dependent, change in the
apparent shape of the etalon plates. This change is caused by two effects: the
physical non-uniformities or thickness variations in the coating layers, and
the wavelength dependence of the phase change upon refection that can amplify
these non-uniformities. We discuss the impact of these coating effects on the
resolving power, finesse, and throughput of the system. This Fabry-Perot system
will provide a powerful tool for imaging spectroscopy on one of the world's
largest telescopes.
| astro-ph | we present the design of the fabryperot system of the robert stobie spectrograph on the 10meter class southern african large telescope and its characterization as measured in the laboratory this system provides spectroscopic imaging at any desired wavelength spanning a bandpass 430 860 nm at four different spectral resolving powers ranging from 300 to 9000 our laboratory tests revealed a wavelength dependence of the etalon gap and parallelism with a maximum variation between 600 720 nm that arises because of the complex structure of the broadband multilayer dielectric coatings we also report an unanticipated optical effect of this multilayer coating structure that produces a significant and wavelength dependent change in the apparent shape of the etalon plates this change is caused by two effects the physical nonuniformities or thickness variations in the coating layers and the wavelength dependence of the phase change upon refection that can amplify these nonuniformities we discuss the impact of these coating effects on the resolving power finesse and throughput of the system this fabryperot system will provide a powerful tool for imaging spectroscopy on one of the worlds largest telescopes | [['we', 'present', 'the', 'design', 'of', 'the', 'fabryperot', 'system', 'of', 'the', 'robert', 'stobie', 'spectrograph', 'on', 'the', '10meter', 'class', 'southern', 'african', 'large', 'telescope', 'and', 'its', 'characterization', 'as', 'measured', 'in', 'the', 'laboratory', 'this', 'system', 'provides', 'spectroscopic', 'imaging', 'at', 'any', 'desired', 'wavelength', 'spanning', 'a', 'bandpass', '430', '860', 'nm', 'at', 'four', 'different', 'spectral', 'resolving', 'powers', 'ranging', 'from', '300', 'to', '9000', 'our', 'laboratory', 'tests', 'revealed', 'a', 'wavelength', 'dependence', 'of', 'the', 'etalon', 'gap', 'and', 'parallelism', 'with', 'a', 'maximum', 'variation', 'between', '600', '720', 'nm', 'that', 'arises', 'because', 'of', 'the', 'complex', 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710.3751 | Crime and punishment: the economic burden of impunity | Crime is an economically important activity, sometimes called the industry of
crime. It may represent a mechanism of wealth distribution but also a social
and economic charge because of the cost of the law enforcement system.
Sometimes it may be less costly for the society to allow for some level of
criminality. A drawback of such policy may lead to a high increase of criminal
activity that may become hard to reduce. We investigate the level of law
enforcement required to keep crime within acceptable limits and show that a
sharp phase transition is observed as a function of the probability of
punishment. We also analyze the growth of the economy, the inequality in the
wealth distribution (the Gini coefficient) and other relevant quantities under
different scenarios of criminal activity and probability of apprehension.
| nlin.AO | crime is an economically important activity sometimes called the industry of crime it may represent a mechanism of wealth distribution but also a social and economic charge because of the cost of the law enforcement system sometimes it may be less costly for the society to allow for some level of criminality a drawback of such policy may lead to a high increase of criminal activity that may become hard to reduce we investigate the level of law enforcement required to keep crime within acceptable limits and show that a sharp phase transition is observed as a function of the probability of punishment we also analyze the growth of the economy the inequality in the wealth distribution the gini coefficient and other relevant quantities under different scenarios of criminal activity and probability of apprehension | [['crime', 'is', 'an', 'economically', 'important', 'activity', 'sometimes', 'called', 'the', 'industry', 'of', 'crime', 'it', 'may', 'represent', 'a', 'mechanism', 'of', 'wealth', 'distribution', 'but', 'also', 'a', 'social', 'and', 'economic', 'charge', 'because', 'of', 'the', 'cost', 'of', 'the', 'law', 'enforcement', 'system', 'sometimes', 'it', 'may', 'be', 'less', 'costly', 'for', 'the', 'society', 'to', 'allow', 'for', 'some', 'level', 'of', 'criminality', 'a', 'drawback', 'of', 'such', 'policy', 'may', 'lead', 'to', 'a', 'high', 'increase', 'of', 'criminal', 'activity', 'that', 'may', 'become', 'hard', 'to', 'reduce', 'we', 'investigate', 'the', 'level', 'of', 'law', 'enforcement', 'required', 'to', 'keep', 'crime', 'within', 'acceptable', 'limits', 'and', 'show', 'that', 'a', 'sharp', 'phase', 'transition', 'is', 'observed', 'as', 'a', 'function', 'of', 'the', 'probability', 'of', 'punishment', 'we', 'also', 'analyze', 'the', 'growth', 'of', 'the', 'economy', 'the', 'inequality', 'in', 'the', 'wealth', 'distribution', 'the', 'gini', 'coefficient', 'and', 'other', 'relevant', 'quantities', 'under', 'different', 'scenarios', 'of', 'criminal', 'activity', 'and', 'probability', 'of', 'apprehension']] | [-0.09622401896335964, 0.09876117376020306, -0.12259248086796906, 0.1453171330938505, -0.08760956906949852, -0.13045058698296103, 0.11699405571301606, 0.33715502055598173, -0.2722851520160095, -0.3157547248402305, 0.1316424675560348, -0.2795169370443518, -0.1629987030321343, 0.1829821851848166, -0.1386558880052988, 0.03655225537550538, -0.011514592825421202, 0.058338142316371425, 0.03656830846153047, -0.24745487302208125, 0.2781764776637055, 0.08320974583612449, 0.3186056221585109, 0.11424779939706743, 0.07949686653342154, -0.06531914136782567, -0.01691425732274387, 0.02023017856139523, -0.07733166971604023, 0.11967357036435226, 0.28941779240354226, 0.19780621389205108, 0.35887861521150083, -0.4244438407303237, -0.200502044142488, 0.1372290810295589, 0.1256645976968888, 0.06175213375786031, -0.03824852138702104, -0.25172198746256086, 0.06095992663611116, -0.24770115201931392, -0.15523572129357271, -0.0959440245963772, 0.026014548139090637, 0.026351505946524356, -0.29295333983626826, 0.10196832951406753, 0.020553067357821475, 0.06078513022929208, -0.04844784379915904, -0.06298034867087601, -0.06825424947970506, 0.1934959514154757, 0.12892909652775905, -0.029746306942404013, 0.17150879842090183, -0.2001045328189633, -0.08145520781903569, 0.3984735748494294, 0.013402041381419594, -0.13827419819643916, 0.1772176900899399, -0.1727257448165163, -0.1653152313152912, 0.1202643885374514, 0.21099267808855998, 0.05482253791825627, -0.14690654077080648, -0.013422336535347598, -0.0037945766634405105, 0.18940078067843483, 0.044960458835051745, 0.0632720460781633, 0.18707055214848092, 0.16705885779724192, 0.13848707042008973, 0.1056643402505381, -0.062123714953160554, -0.11086912565419811, -0.2524301587054923, -0.17380285002777715, -0.14118622646861667, 0.05601232965935522, -0.11897953526323675, -0.1716862302786087, 0.3695713345295013, 0.1604248146463964, 0.17030253255767608, 0.03756322988149112, 0.2467521488520581, 0.12134301762788126, 0.06904463292057834, 0.043217368795772766, 0.20100533347442198, -0.0022127459176690943, 0.14957216427897785, -0.1789963874382092, 0.21223102699715032, -0.014655670561174403] |
710.3752 | First joint Gravitational Waves search by the
Auriga-Explorer-Nautilus-Virgo collaboration | We present results of the search for coincident burst excitations over a 24
hours long data set collected by AURIGA, EXPLORER, NAUTILUS and Virgo detectors
during September 2005. The search of candidate triggers was performed
independently on each of the data sets from single detectors. We looked for
two-fold time coincidences between these candidates using an algorithm
optimized for a given population of sources and we calculated the efficiency of
detection through injections of templated signal waveforms into the streams of
data. To this purpose we have considered the case of signals shaped as damped
sinusoids coming from the galactic center direction. In this framework our
method targets an optimal balance between high efficiency and low false alarm
rate, aiming at setting confidence intervals as stringent as possible in terms
of the rate of the selected source models.
| gr-qc | we present results of the search for coincident burst excitations over a 24 hours long data set collected by auriga explorer nautilus and virgo detectors during september 2005 the search of candidate triggers was performed independently on each of the data sets from single detectors we looked for twofold time coincidences between these candidates using an algorithm optimized for a given population of sources and we calculated the efficiency of detection through injections of templated signal waveforms into the streams of data to this purpose we have considered the case of signals shaped as damped sinusoids coming from the galactic center direction in this framework our method targets an optimal balance between high efficiency and low false alarm rate aiming at setting confidence intervals as stringent as possible in terms of the rate of the selected source models | [['we', 'present', 'results', 'of', 'the', 'search', 'for', 'coincident', 'burst', 'excitations', 'over', 'a', '24', 'hours', 'long', 'data', 'set', 'collected', 'by', 'auriga', 'explorer', 'nautilus', 'and', 'virgo', 'detectors', 'during', 'september', '2005', 'the', 'search', 'of', 'candidate', 'triggers', 'was', 'performed', 'independently', 'on', 'each', 'of', 'the', 'data', 'sets', 'from', 'single', 'detectors', 'we', 'looked', 'for', 'twofold', 'time', 'coincidences', 'between', 'these', 'candidates', 'using', 'an', 'algorithm', 'optimized', 'for', 'a', 'given', 'population', 'of', 'sources', 'and', 'we', 'calculated', 'the', 'efficiency', 'of', 'detection', 'through', 'injections', 'of', 'templated', 'signal', 'waveforms', 'into', 'the', 'streams', 'of', 'data', 'to', 'this', 'purpose', 'we', 'have', 'considered', 'the', 'case', 'of', 'signals', 'shaped', 'as', 'damped', 'sinusoids', 'coming', 'from', 'the', 'galactic', 'center', 'direction', 'in', 'this', 'framework', 'our', 'method', 'targets', 'an', 'optimal', 'balance', 'between', 'high', 'efficiency', 'and', 'low', 'false', 'alarm', 'rate', 'aiming', 'at', 'setting', 'confidence', 'intervals', 'as', 'stringent', 'as', 'possible', 'in', 'terms', 'of', 'the', 'rate', 'of', 'the', 'selected', 'source', 'models']] | [-0.1051507013498981, 0.06304484099487984, -0.03734192077704854, 0.04991176299771051, -0.01838765421754046, -0.0884215186579504, 0.12536356980453475, 0.38037732535082364, -0.20072718107384507, -0.3793817428784256, 0.09978538784839591, -0.32598032108575536, -0.06632799792197952, 0.24728021576015305, -0.00023397007084829545, 0.06640593200142536, 0.10435415373143295, 0.0023259069952789855, -0.0278532534598987, -0.25732466325406794, 0.23553661169885806, 0.17677558862023812, 0.261432280143102, -0.04899488423910478, 0.14023424594146808, 2.8467662902413933e-06, -0.0823539878356446, -0.05297407281814494, -0.11284221204814325, 0.05279998232920965, 0.28462562990068324, 0.20748567548782929, 0.23145341053200158, -0.4202524164448614, -0.1823860932128045, 0.10221991503098304, 0.12107464054639897, 0.060552301884129425, -0.09203721320111494, -0.33976987013559573, 0.08387229353378432, -0.16850319981871956, -0.08996265740943668, 0.03294316962347838, 0.037785949659587786, 0.058340273578178836, -0.24528603756165915, 0.08446910760139345, -0.004451572213429904, 0.03827737960829467, -0.11533451494355888, -0.1041332442968058, -0.0026052781427953987, 0.13080504853818295, 0.05094228227339361, 0.033605355586336955, 0.10721083071784697, -0.09631219098641389, -0.15270577434558366, 0.3298608485619416, -0.09378943025671027, -0.10637743877705888, 0.19183983545973088, -0.13011345659564857, -0.14854846583962764, 0.17917102665734896, 0.24396324148730616, 0.14228108769579642, -0.19009489395176532, -0.0021376681939675136, 0.03178171156838104, 0.2023037878688479, 0.08658199462081319, 0.018919254148689408, 0.26849349179183657, 0.18523422026655811, 0.04077523443814151, 0.155862500594146, -0.22916210004958606, -0.010725957696221472, -0.3153815973441258, -0.0831725984302255, -0.1534354035621104, -0.00847126285847533, -0.05628625049048687, -0.08238520904105036, 0.3995416441939069, 0.13343192274054594, 0.1962575506624779, 0.04169592170544185, 0.284830520182605, 0.08668312013406135, 0.07875207705807913, 0.0493138678898306, 0.2629836233724179, 0.05447806856271042, 0.08642421326637133, -0.153112350451841, 0.053129246050114, 0.0034387336024825554] |
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