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712.2579
Hongyi Yao
Hongyi Yao
On the Information of the Second Moments Between Random Variables Using Mutually Unbiased Bases
20pages, no figures. The paper has been submitted to IEEE Transanction on Information Theory
null
null
null
cs.IT math.IT
null
The notation of mutually unbiased bases(MUB) was first introduced by Ivanovic to reconstruct density matrixes\cite{Ivanovic}. The subject about how to use MUB to analyze, process, and utilize the information of the second moments between random variables is studied in this paper. In the first part, the mathematical foundation will be built. It will be shown that the spectra of MUB have complete information for the correlation matrixes of finite discrete signals, and the nice properties of them. Roughly speaking, it will be shown that each spectrum from MUB plays an equal role for finite discrete signals, and the effect between any two spectra can be treated as a global constant shift. These properties will be used to find some important and natural characterizations of random vectors and random discrete operators/filters. For a technical reason, it will be shown that any MUB spectra can be found as fast as Fourier spectrum when the length of the signal is a prime number. In the second part, some applications will be presented. First of all, a protocol about how to increase the number of users in a basic digital communication model will be studied, which has bring some deep insights about how to encode the information into the second moments between random variables. Secondly, the application of signal analysis will be studied. It is suggested that complete "MUB" spectra analysis works well in any case, and people can just choose the spectra they are interested in to do analysis. For instance, single Fourier spectra analysis can be also applied in nonstationary case. Finally, the application of MUB in dimensionality reduction will be considered, when the prior knowledge of the data isn't reliable.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 15:54:37 GMT" }, { "version": "v2", "created": "Wed, 19 Dec 2007 14:53:09 GMT" } ]
2007-12-19T00:00:00
[ [ "Yao", "Hongyi", "" ] ]
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712.258
Toshiaki Maeno
Anatol N. Kirillov and Toshiaki Maeno
Extended quadratic algebra and a model of the equivariant cohomology ring of flag varieties
null
null
null
null
math.QA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For the root system of type $A$ we introduce and study a certain extension of the quadratic algebra invented by S. Fomin and the first author, to construct a model for the equivariant cohomology ring of the corresponding flag variety. As an application of our construction we describe a generalization of the equivariant Pieri rule for double Schubert polynomials. For a general finite Coxeter system we construct an extension of the corresponding Nichols-Woronowicz algebra. In the case of finite crystallographic Coxeter systems we present a construction of extended Nichols-Woronowicz algebra model for the equivariant cohomology of the corresponding flag variety.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 16:06:18 GMT" }, { "version": "v2", "created": "Sun, 1 Jun 2008 01:43:12 GMT" }, { "version": "v3", "created": "Mon, 10 Nov 2008 12:49:15 GMT" } ]
2008-11-10T00:00:00
[ [ "Kirillov", "Anatol N.", "" ], [ "Maeno", "Toshiaki", "" ] ]
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712.2581
Andrew Rushforth
A.W. Rushforth, K. V\'yborn\'y, C.S. King, K.W. Edmonds, R.P. Campion, C.T. Foxon, J. Wunderlich, A.C. Irvine, V. Nov\'ak, K. Olejn\'ik, A. A. Kovalev, Jairo Sinova, T. Jungwirth, and B.L. Gallagher
The Origin and Control of the Sources of AMR in (Ga,Mn)As Devices
Submitted to JMMM for conference proceedings of WUN-SPIN 2007 (York, UK)
doi:10.1016/j.jmmm.2008.04.070
null
null
cond-mat.mes-hall cond-mat.mtrl-sci
null
We present details of our experimental and theoretical study of the components of the anisotropic magnetoresistance (AMR) in (Ga,Mn)As. We develop experimental methods to yield directly the non-crystalline and crystalline AMR components which are then independently analyzed. These methods are used to explore the unusual phenomenology of the AMR in ultra thin (5nm) (Ga,Mn)As layers and to demonstrate how the components of the AMR can be engineered through lithography induced local lattice relaxations. We expand on our previous [Phys. Rev. Lett. \textbf{99}, 147207 (2007)] theoretical analysis and numerical calculations to present a simplified analytical model for the origin of the non-crystalline AMR. We find that the sign of the non-crystalline AMR is determined by the form of spin-orbit coupling in the host band and by the relative strengths of the non-magnetic and magnetic contributions to the impurity potential.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 16:36:15 GMT" } ]
2009-02-02T00:00:00
[ [ "Rushforth", "A. W.", "" ], [ "Výborný", "K.", "" ], [ "King", "C. S.", "" ], [ "Edmonds", "K. W.", "" ], [ "Campion", "R. P.", "" ], [ "Foxon", "C. T.", "" ], [ "Wunderlich", "J.", "" ], [ "Irvine", "A. C.", "" ], [ "Novák", "V.", "" ], [ "Olejník", "K.", "" ], [ "Kovalev", "A. A.", "" ], [ "Sinova", "Jairo", "" ], [ "Jungwirth", "T.", "" ], [ "Gallagher", "B. L.", "" ] ]
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712.2582
Louigi Addario-Berry
Louigi Addario-Berry, Bruce Reed
Minima in branching random walks
Published in at http://dx.doi.org/10.1214/08-AOP428 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Probability 2009, Vol. 37, No. 3, 1044-1079
10.1214/08-AOP428
IMS-AOP-AOP428
math.PR math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a branching random walk, let $M_n$ be the minimum position of any member of the $n$th generation. We calculate $\mathbf{E}M_n$ to within O(1) and prove exponential tail bounds for $\mathbf{P}\{|M_n-\mathbf{E}M_n|>x\}$, under quite general conditions on the branching random walk. In particular, together with work by Bramson [Z. Wahrsch. Verw. Gebiete 45 (1978) 89--108], our results fully characterize the possible behavior of $\mathbf {E}M_n$ when the branching random walk has bounded branching and step size.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 16:48:34 GMT" }, { "version": "v2", "created": "Thu, 10 Jul 2008 23:51:30 GMT" }, { "version": "v3", "created": "Fri, 24 Jul 2009 15:06:28 GMT" } ]
2009-07-24T00:00:00
[ [ "Addario-Berry", "Louigi", "" ], [ "Reed", "Bruce", "" ] ]
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712.2583
Qiuping A. Wang
Qiuping A. Wang (ISMANS)
From virtual work principle to maximum entropy for nonequilibrium system
null
null
null
null
cond-mat.stat-mech
null
After the justification of the maximum entropy approach for equilibrium thermodynamic system, and of a maximum path entropy algorithm for nonequilibrium thermodynamic systems by virtue of the principle of virtual work, we present in this paper another application of the principle to thermodynamic systems out of equilibrium. Unlike the justification of maximum path entropy for the motion trajectories during a period of time, this work is on the maximum of the entropy defined as a measure of the momentary dynamical uncertainty as a function of the probability distribution over the microstates of the system at any given moment.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 17:19:13 GMT" } ]
2007-12-18T00:00:00
[ [ "Wang", "Qiuping A.", "", "ISMANS" ] ]
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712.2584
Gregory Fleishman
A. T. Altyntsev, G. D. Fleishman, G.-L. Huang, and V. F. Melnikov
Broadband microwave burst produced by electron beams
Astrophysical Journal, accepted: 26 pages, 8 figures
null
10.1086/528841
null
astro-ph
null
Theoretical and experimental study of fast electron beams attracts a lot of attention in the astrophysics and laboratory. In the case of solar flares the problem of reliable beam detection and diagnostics is of exceptional importance. This paper explores the fact that the electron beams moving oblique to the magnetic field or along the field with some angular scatter around the beam propagation direction can generate microwave continuum bursts via gyrosynchrotron mechanism. The characteristics of the microwave bursts produced by beams differ from those in case of isotropic or loss-cone distributions, which suggests a new tool for quantitative diagnostics of the beams in the solar corona. To demonstrate the potentiality of this tool, we analyze here a radio burst occurred during an impulsive flare 1B/M6.7 on 10 March 2001 (AR 9368, N27W42). Based on detailed analysis of the spectral, temporal, and spatial relationships, we obtained firm evidence that the microwave continuum burst is produced by electron beams. For the first time we developed and applied a new forward fitting algorithm based on exact gyrosynchrotron formulae and employing both the total power and polarization measurements to solve the inverse problem of the beam diagnostics. We found that the burst is generated by a oblique beam in a region of reasonably strong magnetic field ($\sim 200-300$ G) and the burst is observed at a quasi-transverse viewing angle. We found that the life time of the emitting electrons in the radio source is relatively short, $\tau_l \approx 0.5$ s, consistent with a single reflection of the electrons from a magnetic mirror at the foot point with the stronger magnetic field. We discuss the implications of these findings for the electron acceleration in flares and for beam diagnostics.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 17:26:07 GMT" } ]
2009-11-13T00:00:00
[ [ "Altyntsev", "A. T.", "" ], [ "Fleishman", "G. D.", "" ], [ "Huang", "G. -L.", "" ], [ "Melnikov", "V. F.", "" ] ]
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712.2585
Petros Petrosyan
Petros A. Petrosyan
Interval Edge Colourings of Complete Graphs and n-cubes
4 pages
Mathematical Problems of Computer Science 25, 2006, 5--8
null
null
cs.DM
null
For complete graphs and n-cubes bounds are found for the possible number of colours in an interval edge colourings.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:43:19 GMT" }, { "version": "v2", "created": "Fri, 28 Dec 2007 21:42:42 GMT" } ]
2011-11-10T00:00:00
[ [ "Petrosyan", "Petros A.", "" ] ]
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712.2586
Peter W. Shor
Ruitian Lang and Peter W. Shor
Nonadditive quantum error correcting codes adapted to the ampltitude damping channel
4 pages
null
null
null
quant-ph
null
A family of high rate quantum error correcting codes adapted to the amplitude damping channel is presented. These codes are nonadditive and exploit self-complementarity structure to correct all first-order errors. Their rates can be higher than 1/2. The recovery operations of these codes can be generated by a simple algorithm and have a projection nature, which makes them potentially easy to implement.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 17:57:38 GMT" } ]
2007-12-18T00:00:00
[ [ "Lang", "Ruitian", "" ], [ "Shor", "Peter W.", "" ] ]
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712.2587
Chia-Lung Wu
Chia-Lung Wu, Po-Ning Chen, Yunghsiang S. Han, Ming-Hsin Kuo
Maximum-Likelihood Priority-First Search Decodable Codes for Combined Channel Estimation and Error Protection
13 figures, 2 tables
null
null
null
cs.IT math.IT
null
The code that combines channel estimation and error protection has received general attention recently, and has been considered a promising methodology to compensate multi-path fading effect. It has been shown by simulations that such code design can considerably improve the system performance over the conventional design with separate channel estimation and error protection modules under the same code rate. Nevertheless, the major obstacle that prevents from the practice of the codes is that the existing codes are mostly searched by computers, and hence exhibit no good structure for efficient decoding. Hence, the time-consuming exhaustive search becomes the only decoding choice, and the decoding complexity increases dramatically with the codeword length. In this paper, by optimizing the signal-tonoise ratio, we found a systematic construction for the codes for combined channel estimation and error protection, and confirmed its equivalence in performance to the computer-searched codes by simulations. Moreover, the structural codes that we construct by rules can now be maximum-likelihoodly decodable in terms of a newly derived recursive metric for use of the priority-first search decoding algorithm. Thus,the decoding complexity reduces significantly when compared with that of the exhaustive decoder. The extension code design for fast-fading channels is also presented. Simulations conclude that our constructed extension code is robust in performance even if the coherent period is shorter than the codeword length.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:07:05 GMT" } ]
2007-12-18T00:00:00
[ [ "Wu", "Chia-Lung", "" ], [ "Chen", "Po-Ning", "" ], [ "Han", "Yunghsiang S.", "" ], [ "Kuo", "Ming-Hsin", "" ] ]
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712.2588
M\'ario Monteiro
Michael Bazot, Mario J. P. F. G. Monteiro, Christian W. Straka
Current Issues in Asteroseismology
9 pages, 2 figures - to appear in Helioseismology, Asteroseismology and MHD Connections, (Eds) L. Gizon et al., Journal of Physics Conference Series, 2008 [Revision 1 - english; Revision 2 - references]
J.Phys.Conf.Ser.118:012008,2008
10.1088/1742-6596/118/1/012008
null
astro-ph
null
In this contribution we briefly review some of the current issues and promises for the future by asteroseismology. We are entering a new phase in this field driven by the wealth of data that has been collected and data that will soon be available for asteroseismology across the HR Diagram. Major difficulties in the descriptions of stellar interiors that arose in the second half of the 20th century may now be in part addressed and solved (this is the expectation!) by asteroseismology with unprecedented precision. In this contribution we list some of the key open questions in stellar physics, the seismic data we expect to collect in the near future, and some techniques that will provide the tools to connect data and models.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 19:50:48 GMT" }, { "version": "v2", "created": "Sat, 12 Jan 2008 13:25:47 GMT" }, { "version": "v3", "created": "Wed, 16 Jan 2008 17:56:21 GMT" } ]
2008-11-26T00:00:00
[ [ "Bazot", "Michael", "" ], [ "Monteiro", "Mario J. P. F. G.", "" ], [ "Straka", "Christian W.", "" ] ]
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712.2589
Birbrair Lev
Lev Birbrair, Alexandre Fernandes
Local Lipschitz geometry of weighted homogeneous surfaces
11 pages
null
null
null
math.AG math.MG
null
We compute Hoelder Complexes,i.e. the complete bi-Lipschitz invariants, for germs of real weighed homogeneous algebraic or semialgebraic surfaces.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 19:53:29 GMT" } ]
2007-12-18T00:00:00
[ [ "Birbrair", "Lev", "" ], [ "Fernandes", "Alexandre", "" ] ]
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712.259
Ilya S. Kofman
Abhijit Champanerkar, Ilya Kofman
Twisting quasi-alternating links
Revised for publication in Proc. Amer. Math. Soc., 8 pages
Proc. Amer. Math. Soc. 137 (2009), 2451-2458.
null
null
math.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quasi-alternating links are homologically thin for both Khovanov homology and knot Floer homology. We show that every quasi-alternating link gives rise to an infinite family of quasi-alternating links obtained by replacing a crossing with an alternating rational tangle. Consequently, we show that many pretzel links are quasi-alternating, and we determine the thickness of Khovanov homology for "most" pretzel links with arbitrarily many strands.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 20:23:40 GMT" }, { "version": "v2", "created": "Fri, 18 Apr 2008 17:29:27 GMT" }, { "version": "v3", "created": "Tue, 13 Jan 2009 06:23:35 GMT" } ]
2009-04-22T00:00:00
[ [ "Champanerkar", "Abhijit", "" ], [ "Kofman", "Ilya", "" ] ]
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712.2591
Grenville Croll
Grenville J. Croll
A Typical Model Audit Approach: Spreadsheet Audit Methodologies in the City of London
5 Pages
IFIP, Integrity and Internal Control in Information Systems, Vol 124, pp. 213-219, Kluwer, 2003
null
null
cs.SE cs.CY
null
Spreadsheet audit and review procedures are an essential part of almost all City of London financial transactions. Structured processes are used to discover errors in large financial spreadsheets underpinning major transactions of all types. Serious errors are routinely found and are fed back to model development teams generally under conditions of extreme time urgency. Corrected models form the essence of the completed transaction and firms undertaking model audit and review expose themselves to significant financial liability in the event of any remaining significant error. It is noteworthy that in the United Kingdom, the management of spreadsheet error is almost unheard of outside of the City of London despite the commercial ubiquity of the spreadsheet.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 20:40:57 GMT" } ]
2008-03-10T00:00:00
[ [ "Croll", "Grenville J.", "" ] ]
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712.2592
Gusztav Morvai
S. Yakowitz, L. Gyorfi, J. Kieffer, G. Morvai
Strongly consistent nonparametric forecasting and regression for stationary ergodic sequences
null
J. Multivariate Anal. 71 (1999), no. 1, 24--41
null
null
math.PR cs.IT math.IT
null
Let $\{(X_i,Y_i)\}$ be a stationary ergodic time series with $(X,Y)$ values in the product space $\R^d\bigotimes \R .$ This study offers what is believed to be the first strongly consistent (with respect to pointwise, least-squares, and uniform distance) algorithm for inferring $m(x)=E[Y_0|X_0=x]$ under the presumption that $m(x)$ is uniformly Lipschitz continuous. Auto-regression, or forecasting, is an important special case, and as such our work extends the literature of nonparametric, nonlinear forecasting by circumventing customary mixing assumptions. The work is motivated by a time series model in stochastic finance and by perspectives of its contribution to the issues of universal time series estimation.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 20:41:19 GMT" } ]
2008-06-19T00:00:00
[ [ "Yakowitz", "S.", "" ], [ "Gyorfi", "L.", "" ], [ "Kieffer", "J.", "" ], [ "Morvai", "G.", "" ] ]
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712.2593
Pouria Pedram
P. Pedram, S. Jalalzadeh
Quantum cosmology with varying speed of light: canonical approach
14 pages, 7 figures, to appear in Physics Letters B
Phys.Lett.B660:1-6,2008
10.1016/j.physletb.2007.11.098
null
gr-qc
null
We investigate $(n+1)$--dimensional cosmology with varying speed of light. After solving corresponding Wheeler-DeWitt equation, we obtain exact solutions in both classical and quantum levels for ($c $--$\Lambda$)--dominated Universe. We then construct the ``canonical'' wave packets which exhibit a good classical and quantum correspondence. We show that arbitrary but appropriate initial conditions lead to the same classical description. We also study the situation from de-Broglie Bohm interpretation of quantum mechanics and show that the corresponding Bohmian trajectories are in good agreement with the classical counterparts.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 20:48:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Pedram", "P.", "" ], [ "Jalalzadeh", "S.", "" ] ]
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712.2594
Grenville Croll
David Chadwick
Stop That Subversive Spreadsheet!
6 Pages
IFIP, Integrity and Internal Control in Information Systems, Vol 24, pp. 205-211, Kluwer, 2003
null
null
cs.GL
null
This paper documents the formation of the European Spreadsheet Risks Interest Group (EuSpRIG www.eusprig.org) and outlines some of the research undertaken and reported upon by interested parties in EuSpRIG publications
[ { "version": "v1", "created": "Sun, 16 Dec 2007 21:00:02 GMT" } ]
2008-03-10T00:00:00
[ [ "Chadwick", "David", "" ] ]
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712.2595
Bill Rosgen
Bill Rosgen
Distinguishing Short Quantum Computations
12 pages, 4 figures, to be published in the proceedings of STACS 2008
null
10.4230/LIPIcs.STACS.2008.1322
null
quant-ph cs.CC
null
Distinguishing logarithmic depth quantum circuits on mixed states is shown to be complete for QIP, the class of problems having quantum interactive proof systems. Circuits in this model can represent arbitrary quantum processes, and thus this result has implications for the verification of implementations of quantum algorithms. The distinguishability problem is also complete for QIP on constant depth circuits containing the unbounded fan-out gate. These results are shown by reducing a QIP-complete problem to a logarithmic depth version of itself using a parallelization technique.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 21:40:41 GMT" } ]
2010-06-02T00:00:00
[ [ "Rosgen", "Bill", "" ] ]
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712.2596
Tzu-Chieh Wei
Tzu-Chieh Wei (University of Waterloo) and Paul M. Goldbart (University of Illinois at Urbana-Champaign)
Emergence of $h/e$-period oscillations in the critical temperature of small superconducting rings threaded by magnetic flux
Preprint format, 35 pages, 8 figures
Phys. Rev. B, 77, 224512 (2008)
10.1103/PhysRevB.77.224512
null
cond-mat.supr-con
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
As a function of the magnetic flux threading the object, the Little-Parks oscillation in the critical temperature of a large-radius, thin-walled superconducting ring or hollow cylinder has a period given by $h/2e$, due to the binding of electrons into Cooper pairs. On the other hand, the single-electron Aharonov-Bohm oscillation in the resistance or persistent current for a clean (i.e. ballistic) normal-state system having the same topological structure has a period given by $h/e$. A basic question is whether the Little-Parks oscillation changes its character, as the radius of the superconducting structure becomes smaller, and even comparable to the zero-temperature coherence length. We supplement the argument that the $h/e$ oscillations should also be exhibited via a microscopic analysis of this regime, formulated in terms of the Gor'kov approach of BCS theory. We see that as the radius of the ring becomes smaller, an oscillation of critical temperature in the period of $h/e$ emerges in addition to the usual Little-Parks dependence. We argue that in the clean limit there is a superconductor-normal transition, at nonzero flux, as the ring radius becomes sufficiently small, and that the transition can be either continuous or discontinuous, depending on the radius and the external flux. In the dirty limit, we argue that the transition is rendered continuous, which results in continuous quantum phase transitions tuned by flux and radius.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 05:52:41 GMT" }, { "version": "v2", "created": "Mon, 30 Jun 2008 21:55:30 GMT" } ]
2009-11-13T00:00:00
[ [ "Wei", "Tzu-Chieh", "", "University of Waterloo" ], [ "Goldbart", "Paul M.", "", "University of Illinois at Urbana-Champaign" ] ]
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712.2597
Pavlo Pylyavskyy
Pavlo Pylyavskyy
A_2-web immanants
21 pages, 14 figures
null
null
null
math.CO math.RA
null
We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A_2-webs. We define consistent labelings of webs, and use them to describe the coefficients of decompositions into irreducible webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices, and describe some further properties.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 21:46:36 GMT" } ]
2007-12-18T00:00:00
[ [ "Pylyavskyy", "Pavlo", "" ] ]
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712.2598
Christopher Stubbs
Christopher W. Stubbs
Linking optical and infrared observations with gravitational wave sources through variability
14 pages, no figures. Contribution to 12th Gravitational Wave Data Analysis Workshop. Submitted to Classical and Quantum Gravity
Class.Quant.Grav.25:184033,2008
10.1088/0264-9381/25/18/184033
null
astro-ph gr-qc
null
Optical and infrared observations have thus far detected more celestial cataclysms than have been seen in gravity waves (GW). This argues that we should search for gravity wave signatures that correspond to flux variability seen at optical wavelengths, at precisely known positions. There is an unknown time delay between the optical and gravitational transient, but knowing the source location precisely specifies the corresponding time delays across the gravitational antenna network as a function of the GW-to-optical arrival time difference. Optical searches should detect virtually all supernovae that are plausible gravitational radiation sources. The transient optical signature expected from merging compact objects is not as well understood, but there are good reasons to expect detectable transient optical/IR emission from most of these sources as well. The next generation of deep wide-field surveys (for example PanSTARRS and LSST) will be sensitive to subtle optical variability, but we need to fill the ``blind spots'' that exist in the Galactic plane, and for optically bright transient sources. In particular, a Galactic plane variability survey at 2 microns seems worthwhile. Science would benefit from closer coordination between the various optical survey projects and the gravity wave community.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 21:55:51 GMT" } ]
2009-02-05T00:00:00
[ [ "Stubbs", "Christopher W.", "" ] ]
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712.2599
Benjamin Graham
Benjamin T. Graham
Rate of relaxation for a mean-field zero-range process
Published in at http://dx.doi.org/10.1214/08-AAP549 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Annals of Applied Probability 2009, Vol. 19, No. 2, 497-520
10.1214/08-AAP549
IMS-AAP-AAP549
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the zero-range process on the complete graph. It is a Markov chain model for a microcanonical ensemble. We prove that the process converges to a fluid limit. The fluid limit rapidly relaxes to the appropriate Gibbs distribution.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 22:06:03 GMT" }, { "version": "v2", "created": "Fri, 12 Jun 2009 11:19:44 GMT" } ]
2009-06-12T00:00:00
[ [ "Graham", "Benjamin T.", "" ] ]
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712.26
Pietro Antonio Grassi
Pietro A. Grassi and Matteo Marescotti
Integration of Superforms and Super-Thom Class
32 pages, latex
null
null
DISTA-UPO-07
hep-th
null
We address the basic problem of constructing the Thom class for a supermanifold. Given a cohomological class of a supermanifold and the restriction of the supermanifold to its bosonic submanifold, the Thom class gives a prescription to define the integral over the bosonic submanifold in terms of the integral over the entire supermanifold. In addition, we provide some new interesting examples of supermanifolds obtained by extending a given bosonic manifold, we discuss the construction of superforms of special type (which transform as Berezinian under change of supercoordinates) and we define the de Rham cohomology. We review the construction of the Thom class in the conventional geometry and we discuss the extension to the supermanifolds. Then, we compute explicitly the Thom class for the case of CP^{(1|2)} and, as expected, the result is singular. We provide a regularization technique to handle the fermionic Thom class in practical applications. We conclude with some remarks about Calabi-Yau spaces and their embedding into super-CY.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 22:15:31 GMT" }, { "version": "v2", "created": "Fri, 11 Apr 2008 10:01:15 GMT" } ]
2008-04-11T00:00:00
[ [ "Grassi", "Pietro A.", "" ], [ "Marescotti", "Matteo", "" ] ]
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712.2601
Alexander Felshtyn
Alexander Fel'shtyn
New directions in Nielsen-Reidemeister theory
50 pages, survey
null
null
null
math.GR math.AT math.GT math.RT math.SG
null
The purpose of this expository paper is to present new directions in the classical Nielsen-Reidemeister fixed point theory. We describe twisted Burnside-Frobenius theorem, groups with $R_\infty$ \emph{property} and a connection between Nielsen fixed point theory and symplectic Floer homology.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 20:28:17 GMT" }, { "version": "v2", "created": "Fri, 1 Feb 2008 20:00:11 GMT" } ]
2011-01-28T00:00:00
[ [ "Fel'shtyn", "Alexander", "" ] ]
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712.2602
Luis Gallardo
Luis H. Gallardo, Olivier Rahavandrainy
Even perfect polynomials over $F_2$ with four prime factors
19 pages (in 12 pt)
null
null
null
math.NT
null
A perfect polynomial over the binary field $\F_2$ is a polynomial $A \in \F_2[x]$ that equals the sum of all its divisors. If $\gcd(A,x^2-x) \neq 1$ then we call $A$ even. The list of all even perfect polynomials over $\F_2$ with at most 3 prime factors in known. The object of this paper is to give the list of all even perfect polynomials over $\F_2$ with four prime factors. These are all the known perfect polynomials with four prime factors over $\F_2$.
[ { "version": "v1", "created": "Sun, 16 Dec 2007 22:45:16 GMT" } ]
2007-12-18T00:00:00
[ [ "Gallardo", "Luis H.", "" ], [ "Rahavandrainy", "Olivier", "" ] ]
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712.2603
Todor Todorov D.
Todor D. Todorov, Hans Vernaeve
Full Algebra of Generalized Functions and Non-Standard Asymptotic Analysis
29 pages
Logic and Analysis, Vol. 1, Issue 3, 2008.
null
null
math.FA math.LO
null
We construct an algebra of generalized functions endowed with a canonical embedding of the space of Schwartz distributions. We offer a solution to the problem of multiplication of Schwartz distributions similar to but different from Colombeau's solution. We show that the set of scalars of our algebra is an algebraically closed field unlike its counterpart in Colombeau theory, which is a ring with zero divisors. We prove a Hahn-Banach extension principle which does not hold in Colombeau theory. We establish a connection between our theory with non-standard analysis and thus answer, although indirectly, a question raised by J.F. Colombeau. This article provides a bridge between Colombeau theory of generalized functions and non-standard analysis.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 00:00:14 GMT" } ]
2008-10-08T00:00:00
[ [ "Todorov", "Todor D.", "" ], [ "Vernaeve", "Hans", "" ] ]
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712.2604
Yuji Matsuda
Y. Kasahara, T. Iwasawa, Y. Shimizu, H. Shishido, T. Shibauchi, I. Vekhter, and Y. Matsuda
Thermal conductivity evidence for d_{x^2-y^2} pairing symmetry in the heavy-fermion CeIrIn5 superconductor
5 pages, 4 figures
Phys. Rev. Lett. 100, 207003 (2008).
10.1103/PhysRevLett.100.207003
null
cond-mat.supr-con cond-mat.str-el
null
Quasi-two dimensional CeIrIn5 contains two distinct domes with different heavy fermion superconducting states in its phase diagram. Here we pinned down the superconducting gap structure of CeIrIn5 in the second dome, located away from the antiferromagnetic quantum critical point, by the thermal transport measurements in magnetic fields rotated relative to the crystal axes. Clear fourfold oscillation was observed when the field is rotated within the ab-plane, while no oscillation was observed within the bc-plane. In sharp contrast to previous reports, our results are most consistent with d_{x^2-y^2} symmetry, implying that two superconducting phases have the same gap symmetry which appears to be mediated by antiferromagnetic spin fluctuations.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 02:18:57 GMT" } ]
2008-05-23T00:00:00
[ [ "Kasahara", "Y.", "" ], [ "Iwasawa", "T.", "" ], [ "Shimizu", "Y.", "" ], [ "Shishido", "H.", "" ], [ "Shibauchi", "T.", "" ], [ "Vekhter", "I.", "" ], [ "Matsuda", "Y.", "" ] ]
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712.2605
Grenville Croll
Grenville J. Croll
Some A Priori Torah Decryption Principles
11 Pages. Presented at the 2nd conference of the Int. Torah Codes Society, Jerusalem, Israel, 5th June 2000
Proc. ANPA Cambridge, UK, 2007
null
null
cs.CR
null
The author proposes, a priori, a simple set of principles that can be developed into a range of algorithms by which means the Torah might be decoded. It is assumed that the Torah is some form of transposition cipher with the unusual property that the plain text of the Torah may also be the cipher text of one or more other documents written in Biblical Hebrew. The decryption principles are based upon the use of Equidistant Letter Sequences (ELS) and the notions of Message Length, Dimensionality, Euclidean Dimension, Topology, Read Direction, Skip Distance and offset. The principles can be applied recursively and define numerous large subsets of the 304,807! theoretically possible permutations of the characters of the Torah.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 00:56:32 GMT" } ]
2007-12-18T00:00:00
[ [ "Croll", "Grenville J.", "" ] ]
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712.2606
Grenville Croll
Grenville J. Croll
Algorithmic Permutation of part of the Torah
10 Pages. Presented at the Second Conference of the International Torah Codes Society, Jerusalem, Israel, 6th June 2000. Minor updates and added Appendix B in version 2, October 2010
Proc. ANPA 27, Wesley College, Cambridge, UK, September 2005
null
null
cs.CR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A small part of the Torah is arranged into a two dimensional array. The characters are then permuted using a simple recursive deterministic algorithm. The various permutations are then passed through three stochastic filters and one deterministic filter to identify the permutations which most closely approximate readable Biblical Hebrew. Of the 15 Billion sequences available at the second level of recursion, 800 pass the a priori thresholds set for each filter. The resulting "Biblical Hebrew" text is available for inspection and the generation of further material continues.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:04:22 GMT" }, { "version": "v2", "created": "Sun, 17 Oct 2010 16:51:03 GMT" }, { "version": "v3", "created": "Tue, 19 Oct 2010 20:16:30 GMT" } ]
2010-10-21T00:00:00
[ [ "Croll", "Grenville J.", "" ] ]
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712.2607
Makiko Nio
T. Aoyama, M. Hayakawa, T. Kinoshita, and M. Nio
Revised value of the eighth-order QED contribution to the anomalous magnetic moment of the electron
54 pages, 5 figures. A new experimental result is added
Phys.Rev.D77:053012,2008
10.1103/PhysRevD.77.053012
null
hep-ph
null
We have carried out a new evaluation of the eighth-order contribution to the electron g-2 using FORTRAN codes generated by an automatic code generator gencodeN. Comparison of the "new" result with the "old" one has revealed an inconsistency in the treatment of the infrared divergences in the latter. With this error corrected we now have two independent determinations of the eighth-order term. This leads to the revised value 1 159 652 182.79 (7.71) x 10^{-12} of the electron g-2, where the uncertainty comes mostly from that of the best non-QED value of the fine structure constant alpha. The new value of alpha derived from the revised theory and the latest experiment is alpha^{-1} = 137.035 999 084 (51) [0.37 ppb], which is about 4.7 ppb smaller than the previous alpha^{-1}.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:14:06 GMT" }, { "version": "v2", "created": "Wed, 20 Feb 2008 07:51:54 GMT" } ]
2008-11-26T00:00:00
[ [ "Aoyama", "T.", "" ], [ "Hayakawa", "M.", "" ], [ "Kinoshita", "T.", "" ], [ "Nio", "M.", "" ] ]
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712.2608
Maximilian Schlosshauer
Maximilian Schlosshauer, Andrew P. Hines, Gerard J. Milburn
Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems
8 pages, 3 figures
Phys. Rev. A 77, 022111 (2008)
10.1103/PhysRevA.77.022111
null
quant-ph
null
We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four "canonical" system-environment models for decoherence and dissipation. To investigate the influence of further couplings of the environmental spins to a dissipative bath, we also derive the master equation for a harmonic oscillator interacting with a single spin coupled to a bosonic bath. Our models are experimentally motivated by quantum-electromechanical systems and micron-scale ion traps. Decoherence and dissipation rates are found to exhibit temperature dependencies significantly different from those in quantum Brownian motion. In particular, the systematic dissipation rate for the central oscillator decreases with increasing temperature and goes to zero at zero temperature, but there also exists a temperature-independent momentum-diffusion (heating) rate.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:37:14 GMT" } ]
2008-02-20T00:00:00
[ [ "Schlosshauer", "Maximilian", "" ], [ "Hines", "Andrew P.", "" ], [ "Milburn", "Gerard J.", "" ] ]
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712.2609
Shun Zhou
Zhi-zhong Xing and Shun Zhou
The Minimal Type-I Seesaw Model and Flavor-dependent Leptogenesis
4 pages. Talk given by Shun Zhou at the 4th International Conference on Flavor Physics, 24-28 September 2007, Beijing (to appear in the proceedings)
Int.J.Mod.Phys.A23:3403-3407,2008
10.1142/S0217751X08042201
null
hep-ph
null
In this talk, we first give a brief review of the so-called minimal seesaw models and then concentrate on the minimal type-I seesaw model with two almost degenerate right-handed Majorana neutrinos of ${\cal O}(1 {\rm TeV})$. A specific texture of the neutrino Yukawa coupling matrix is proposed to achieve the nearly tri-bimaximal neutrino mixing pattern. This ansatz predicts (1) $\theta^{}_{23} = \pi/4$, $|\delta| = \pi/2$ and $\sin^2 \theta^{}_{12} = (1 - 2 \tan^2 \theta^{}_{13})/3$ in the $m^{}_1 = 0$ case; and (2) $\theta^{}_{23} =\pi/4$ and $\theta^{}_{13} = \delta = 0$ in the $m^{}_3 = 0$ case. In both cases, the cosmological baryon number asymmetry can be explained via the resonant leptogenesis mechanism. Finally, we demonstrate the significance of flavor-dependent effects in our leptogenesis scenario.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:55:32 GMT" } ]
2008-11-26T00:00:00
[ [ "Xing", "Zhi-zhong", "" ], [ "Zhou", "Shun", "" ] ]
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712.261
Shu Luo
Shu Luo and Zhi-zhong Xing
The Minimal Type-II Seesaw Model and Flavor-dependent Leptogenesis
4 pages. Talk given by Shu Luo at the 4th International Conference on Flavor Physics, 24-28 September 2007, Beijing (to appear in the proceedings)
Int.J.Mod.Phys.A23:3412-3415,2008
10.1142/S0217751X08042225
null
hep-ph
null
Current experimental data allow the zero value for one neutrino mass, either m_1 =0 or m_3 =0. This observation implies that a realistic neutrino mass texture can be established by starting from the limit (a) m_1 = m_2 =0 and m_3 \neq 0 or (b) m_1 = m_2 \neq 0 and m_3 =0. In both cases, we may introduce a particular perturbation which ensures the resultant neutrino mixing matrix to be the tri-bimaximal mixing pattern or its viable variations. We find that it is natural to incorporate this kind of neutrino mass matrix in the minimal Type-II seesaw model with only one heavy right-handed Majorana neutrino N. We show that it is possible to account for the cosmological baryon number asymmetry in the m_3 =0 case via thermal leptogenesis, in which the CP-violating asymmetry of N decays is attributed to the electron flavor.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:42:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Luo", "Shu", "" ], [ "Xing", "Zhi-zhong", "" ] ]
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712.2611
Zhang He
Zhi-zhong Xing, He Zhang, Shun Zhou
Generalized Friedberg-Lee model for neutrino masses and leptonic CP violation from mu-tau symmetry breaking
4 pages. Talk given by He Zhang at the 4th International Conference on Flavor Physics, 24-28 September 2007, Beijing (to appear in the proceedings)
Int.J.Mod.Phys.A23:3384-3387,2008
10.1142/S0217751X0804216X
null
hep-ph
null
Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix M_\nu. The most general case with all the free parameters of M_\nu being complex is discussed. We show that a favorable neutrino mixing pattern (with \theta_12 \approx 35.3^\circ, \theta_23=45^\circ, \theta_13 \neq 0^\circ and \delta=90^\circ) can naturally be derived from M_\nu, if it has an approximate or softly-broken \mu-\tau symmetry. We also point out a different way to obtain the nearly tri-bimaximal neutrino mixing pattern with \delta=0^\circ and non-vanishing Majorana phases.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:46:48 GMT" } ]
2008-11-26T00:00:00
[ [ "Xing", "Zhi-zhong", "" ], [ "Zhang", "He", "" ], [ "Zhou", "Shun", "" ] ]
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712.2612
Wei Chao
Wei Chao, Shu Luo, Zhi-zhong Xing and Shun Zhou
TeV-scale Type-II Seesaw Models and Possible Collider Signatures
4 pages. Talk given by Wei Chao at the 4th International Conference on Flavor Physics, 24-28 September 2007, Beijing (to appear in the proceedings)
Int.J.Mod.Phys.A23:3420-3424,2008
10.1142/S0217751X08042249
null
hep-ph
null
A natural extension of the standard model to accommodate massive neutrinos is to introduce one Higgs triplet and three right-handed Majorana neutrinos, leading to a 6 \times6 neutrino mass matrix. We show that three light Majorana neutrinos (i.e., the mass eigenstates of \nu_e, \nu_\mu and \nu_\tau) are exactly massless, if and only if M_L = M_D M^{-1}_R M^T_D exactly holds in this seesaw model. We propose three simple Type-II seesaw scenarios with broken A_4 \times U(1)_X flavor symmetry to interpret the observed neutrino mass spectrum and neutrino mixing pattern. Such a TeV-scale neutrino model can be tested in two complementary ways: (1) searching for possible collider signatures of lepton number violation induced by the right-handed Majorana neutrinos and doubly-charged Higgs particles; and (2) searching for possible consequences of unitarity violation of the 3\times 3 neutrino mixing matrix in the future long-baseline neutrino oscillation experiments.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:47:44 GMT" } ]
2008-11-26T00:00:00
[ [ "Chao", "Wei", "" ], [ "Luo", "Shu", "" ], [ "Xing", "Zhi-zhong", "" ], [ "Zhou", "Shun", "" ] ]
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712.2613
Mark Tomforde
Vern Paulsen and Mark Tomforde
Vector spaces with an order unit
38 pages, uses XY-pic, Version 2 comments: minor typos corrected.; Version 3 Comments: minor typos corrected; Version 4 Comments: minor typos corrected, hypothesis of Archimedean added to Theorem 4.22, To appear in Indiana Univ. Math. J
null
null
null
math.OA
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We develop a theory of ordered *-vector spaces with an order unit. We prove fundamental results concerning positive linear functionals and states, and we show that the order (semi)norm on the space of self-adjoint elements admits multiple extensions to an order (semi)norm on the entire space. We single out three of these (semi)norms for further study and discuss their significance for operator algebras and operator systems. In addition, we introduce a functorial method for taking an ordered space with an order unit and forming an Archimedean ordered space. We then use this process to describe an appropriate notion of quotients in the category of Archimedean ordered spaces.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:48:45 GMT" }, { "version": "v2", "created": "Mon, 1 Sep 2008 02:47:11 GMT" }, { "version": "v3", "created": "Sun, 24 May 2009 04:32:17 GMT" }, { "version": "v4", "created": "Wed, 10 Jun 2009 06:02:32 GMT" } ]
2009-06-10T00:00:00
[ [ "Paulsen", "Vern", "" ], [ "Tomforde", "Mark", "" ] ]
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712.2614
Mitya Boyarchenko
Mitya Boyarchenko
Characters of unipotent groups over finite fields
Version 4, 81 pages, LaTeX. Main change compared to the previous version: the term "$L$-packet" has been replaced with "$\mathbb{L}$-packet", which is short for "Lusztig packet" (to distinguish it from Langlands' notion of an $L$-packet)
Selecta Mathematica, Vol. 16 (2010), No. 4, pp. 857--933
null
null
math.RT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let G be a connected unipotent group over a finite field F_q with q elements. In this article we propose a definition of L-packets of complex irreducible representations of the finite group G(F_q) and give an explicit description of L-packets in terms of the so-called "admissible pairs" for G. We then apply our results to show that if the centralizer of every geometric point of G is connected, then the dimension of every complex irreducible representation of G(F_q) is a power of q, confirming a conjecture of V. Drinfeld. This paper is the first in a series of three papers exploring the relationship between representations of a group of the form G(F_q) (where G is a unipotent algebraic group over F_q), the geometry of G, and the theory of character sheaves.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 01:53:21 GMT" }, { "version": "v2", "created": "Fri, 26 Mar 2010 14:50:36 GMT" }, { "version": "v3", "created": "Wed, 11 Aug 2010 17:31:42 GMT" }, { "version": "v4", "created": "Tue, 23 Nov 2010 15:24:59 GMT" } ]
2010-11-24T00:00:00
[ [ "Boyarchenko", "Mitya", "" ] ]
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712.2615
Alexei Bazavov
Alexei Bazavov, Bernd A. Berg
SU(3) Deconfining Phase Transition in a Box with Cold Boundaries
The XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regensburg, Germany. 7 pages, 3 figures
PoSLAT2007:168,2007
null
null
hep-lat
null
Deconfined regions created in heavy ion collisions are bordered by the confined phase. We discuss boundary conditions (BCs) to model a cold exterior. Monte Carlo simulations of pure SU(3) lattice gauge theory with thus inspired BCs show scaling. Corrections to usual results survive in the finite volume continuum limit and we estimate them in a range from L=5-10 fermi as function of the volume size $L^3$. In magnitude these corrections are comparable to those obtained by including quarks.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 02:30:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Bazavov", "Alexei", "" ], [ "Berg", "Bernd A.", "" ] ]
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712.2616
Ryu Sasaki
Ryu Sasaki
New Quasi Exactly Solvable Difference Equation
LaTeX with jnmp class, 12 pages, no figure, submitted for publication in the Proceedings of NEEDS 2007, which will be published as a special issue of Journal of Nonlinear mathematical Physics
null
10.2991/jnmp.2008.15.s3.36
YITP-o7-63
nlin.SI hep-th math-ph math.CA math.MP
null
Exact solvability of two typical examples of the discrete quantum mechanics, i.e. the dynamics of the Meixner-Pollaczek and the continuous Hahn polynomials with full parameters, is newly demonstrated both at the Schroedinger and Heisenberg picture levels. A new quasi exactly solvable difference equation is constructed by crossing these two dynamics, that is, the quadratic potential function of the continuous Hahn polynomial is multiplied by the constant phase factor of the Meixner-Pollaczek type. Its ordinary quantum mechanical counterpart, if exists, does not seem to be known.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 02:50:27 GMT" } ]
2015-05-13T00:00:00
[ [ "Sasaki", "Ryu", "" ] ]
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712.2617
David Barnes
David G. Barnes and Grenville Armitage
Realtime monitoring for the next generation of radiotelescopes
Submitted to Workshop on Applications of Radio Science (WARS 2008), accepted
null
null
null
astro-ph
null
The forthcoming generation of radiotelescopes pose new and substantial challenges in terms of system monitoring. Information regarding environmental conditions, signal connectivity and level, processor utilisation, memory use, network traffic and even power consumption needs to be collected, displayed in realtime, and preserved in a permanent database. In this paper, we put forward the Ganglia monitoring system as a scalable, robust and efficient architecture that appears well-suited to the data collection aspect of radiotelescope monitoring, and we discuss approaches to the visual display of the streaming metric data produced by Ganglia. In particular, we present initial work in the use of 3-dimensional (3-d) multiplayer game technology for instantaneous status monitoring and enquiry, and we describe the extensions to this work required for radiotelescope monitoring.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 03:04:17 GMT" } ]
2007-12-18T00:00:00
[ [ "Barnes", "David G.", "" ], [ "Armitage", "Grenville", "" ] ]
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712.2618
Yeow Meng Chee
Yeow Meng Chee and Alan C. H. Ling
On Extremal k-Graphs Without Repeated Copies of 2-Intersecting Edges
17 pages, 5 figures
SIAM Journal on Discrete Mathematics, Vol. 21, No. 3, 2007, pp. 805-821
10.1137/060675915
null
math.CO
null
The problem of determining extremal hypergraphs containing at most r isomorphic copies of some element of a given hypergraph family was first studied by Boros et al. in 2001. There are not many hypergraph families for which exact results are known concerning the size of the corresponding extremal hypergraphs, except for those equivalent to the classical Turan numbers. In this paper, we determine the size of extremal k-uniform hypergraphs containing at most one pair of 2-intersecting edges for k in {3,4}. We give a complete solution when k=3 and an almost complete solution (with eleven exceptions) when k=4.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 03:18:07 GMT" } ]
2007-12-18T00:00:00
[ [ "Chee", "Yeow Meng", "" ], [ "Ling", "Alan C. H.", "" ] ]
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712.2619
Yeow Meng Chee
Yeow Meng Chee
A New Lower Bound for A(17,6,6)
3 pages
Ars Combinatoria, Vol. 83, pp. 361-363, 2007
null
null
cs.IT cs.DM math.CO math.IT
null
We construct a record-breaking binary code of length 17, minimal distance 6, constant weight 6, and containing 113 codewords.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 03:25:52 GMT" } ]
2007-12-18T00:00:00
[ [ "Chee", "Yeow Meng", "" ] ]
[ 0.1202560589, 0.0084847892, 0.0325967893, 0.0445261486, -0.000649023, 0.0393592902, 0.104046315, 0.0200595614, -0.1058699116, 0.0568354242, 0.0038878066, -0.0849998593, -0.0775535107, -0.0235421248, 0.0813020095, 0.0030820682, 0.150548026, -0.0086367559, -0.0248718299, 0.0252264179, -0.0796303824, -0.0417400971, 0.0203255024, -0.0072627263, 0.1097197235, 0.0285443515, -0.0300386865, -0.0069018062, 0.1027799249, -0.1401129961, -0.0691953599, -0.0609385185, 0.0155132338, -0.0311024524, -0.0207940657, -0.0319635943, -0.0383208543, -0.0526310205, -0.0455392562, 0.080744803, -0.0896601602, 0.0018172646, 0.0282150898, -0.0335592404, 0.0908252373, 0.0706137121, -0.0321408883, 0.0378143005, -0.0783133358, 0.1182298437, -0.0510607027, 0.1487244219, 0.0524283983, 0.0852024853, -0.025846947, 0.0515166, -0.1220796555, 0.0220097974, 0.0224277042, -0.0367252082, 0.1166088656, -0.1114420071, -0.0383208543, 0.0059393523, -0.0098968102, -0.0228962675, 0.0295574609, 0.0672197938, 0.1529794931, 0.0935099795, -0.069549948, 0.0398151912, 0.0204648059, -0.0104540205, 0.0764390901, -0.0434877127, 0.0287723001, -0.0259609222, 0.0413095281, -0.0509847179, -0.0334326029, -0.0247705188, -0.0285696797, -0.0559742823, 0.0258722752, 0.0426518954, 0.0101627512, 0.0452859811, -0.0856583789, 0.0005809548, -0.055417072, -0.0829229876, -0.0153992595, -0.0288736112, 0.0854051039, 0.0005659165, 0.0337618627, 0.0452606529, 0.0642817765, -0.0071424199, -0.0178940408, 0.0053441511, 0.0632180125, 0.0178813767, 0.0687901154, -0.0514406189, 0.0249224864, -0.0209840238, -0.0258342847, 0.0336098969, -0.0890016407, 0.007674302, 0.0038276531, 0.0188691579, 0.1371749789, -0.0599254072, 0.0912304819, -0.0540493764, 0.0529856086, -0.0204141494, 0.0013233739, -0.1058699116, 0.069904536, -0.1062751561, 0.0163363852, -0.016323721, -0.0688407719, -0.0726905838, 0.0362693071, -0.0021766017, 0.087026082, -0.022149099, 0.1882356852, 0.0432850905, -0.0457925349, 0.0627114549, -0.0440955758, 0.0083454866, -0.0111948568, -0.0292028729, 0.0803902149, -0.0471095778, 0.0381435603, -0.013854268, -0.0720320642, 0.0944724306, -0.1418352872, 0.0956881642, -0.0763884336, 0.0336605534, -0.0253657214, -0.0337365344, -0.0012078161, 0.0223770496, -0.006439575, -0.1304884553, 0.00864942, 0.0030440765, 0.0045146677, 0.0008045512, 0.0374850407, -0.0244919136, -0.0516179129, 0.0446274579, 0.0679796264, 0.0676250383, -0.1025773063, 0.0392579809, -0.0781107172, -0.0387514271, 0.0934086666, -0.0129044782, -0.020654764, 0.0146267638, -0.0003688351, 0.0038941384, -0.1021214053, -0.1115433201, -0.0699551851, -0.0474894941, 0.0100677721, 0.0683848709, 0.0057398966, -0.0291268881, -0.0070854323, -0.0292028729, 0.1548030823, -0.0235167965, -0.0096435333, -0.0154499151, -0.139302507, 0.0411069058, 0.1314002573, 0.0197303016, 0.0234154854, -0.0733491033, 0.0830749497, -0.0005698739, 0.0061229784, -0.1371749789, -0.074716799, -0.043867629, -0.0652442276, -0.0053568147, -0.0234534778, -0.1430510134, -0.0486798957, -0.0067878314, -0.0004938907, -0.0112265162, 0.0173115022, -0.003463567, 0.1112393886, 0.0101817474, -0.0612931065, 0.1574371606, -0.0010186497, 0.0280124694, 0.0761351511, -0.0181093272, -0.1418352872, -0.0111315371, 0.0054992833, 0.0646870211, -0.0164503604, -0.0569367371, -0.0460964665, 0.0218071751, 0.0131324278, 0.028493695, 0.0423226357, -0.0386247858, -0.1037423834, -0.0335592404, 0.0501489043, 0.0307731908, -0.0355348028, -0.0154625792, -0.035205543, 0.0369278304, -0.0490851402, -0.0138922594, 0.15085195, 0.0467296615, -0.0843413398, 0.0010075688, -0.0607358962, -0.046780318, 0.0171342082, -0.0036028696, -0.017032899, 0.0540493764, -0.0063794218, -0.1001458392, -0.0119420243, -0.0252264179 ]
712.262
E. T. Tomboulis
E.T. Tomboulis
Reply to arXiv:0711.4930[hep-th] by Ito and Seiler
5 pages
null
null
null
hep-th hep-lat
null
In a recent note (arXiv:0711.4930[hep-th]) Ito and Seiler claim that there is a 'missing link' in the derivation in arXiv:0707.2179[hep-th] by the present author; namely, that no proof of a certain inequality used there is given at weak coupling. Here it is pointed out that in fact no such missing link is present. The argument in 0707.2179 is, among other things, specifically constructed so that the inequality in question is invoked {\it only} at strong coupling, where it is easily proven. Underlying the mangling of the argument in 0707.2179 by Ito and Seiler are their incorrect statements concerning the dependence of the potential-moving decimation procedures used in 0707.2179 on space-time dimensionality and other decimation parameters.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:29:29 GMT" } ]
2007-12-18T00:00:00
[ [ "Tomboulis", "E. T.", "" ] ]
[ -0.0368132629, -0.0232525971, -0.0184334051, 0.0173356999, 0.021539107, 0.0681112334, -0.0629707649, 0.0978831202, -0.0487541482, -0.022315532, -0.0454878062, -0.015595437, -0.0869596228, -0.0114522716, 0.0666119307, -0.0386873931, 0.1038803384, 0.0143772531, -0.0055922694, 0.066076465, 0.0039423658, -0.025849605, 0.0450594351, 0.03654553, -0.0706279203, -0.0128779495, 0.0048325774, -0.0730375126, 0.0773747861, 0.0343233496, -0.0250062458, -0.046772927, -0.0628636703, -0.0947774202, -0.0500928126, 0.1206939593, 0.0272953622, 0.1093420908, -0.02136508, -0.0395173654, 0.0400528312, 0.0064925211, -0.0792489201, 0.0345107615, -0.0351265483, 0.0611501783, 0.0361974798, -0.0902795121, 0.0848177597, -0.0427033864, -0.0087280907, -0.0433191732, 0.0767322257, -0.0565451719, -0.0678970441, -0.0427837074, 0.032475993, 0.0191161241, -0.0159033295, -0.0954735279, -0.011887338, -0.1161960512, -0.108806625, 0.0104014203, -0.1259415299, -0.0173089281, -0.0095714489, 0.0338682011, 0.0491022021, 0.0901724175, -0.1242280304, -0.0087816371, 0.075393565, 0.0699853599, 0.0338146575, -0.0117936311, -0.0281922668, 0.0614179112, 0.0112983258, 0.0568664521, 0.0911362544, 0.0456484482, -0.0103545673, -0.0134000285, -0.0448720232, -0.0491289757, 0.0295041576, 0.0152339982, -0.0735194385, 0.0291025583, 0.0185672715, 0.0260102451, 0.0211910531, 0.0139087206, 0.140506193, -0.0921000913, 0.0989540517, 0.0040594991, 0.0124629634, -0.0126570696, -0.0320208445, -0.0148056252, 0.025755899, -0.0680576861, 0.1279762983, -0.0187279116, -0.0073626526, -0.0692357123, -0.0705208257, 0.035662014, 0.0170010347, -0.0420072824, -0.1009352729, 0.0836932808, 0.0409898944, -0.0376164615, -0.1086995304, 0.01253659, -0.0491022021, 0.1568914354, -0.0198523887, -0.0465051942, 0.0716988519, 0.0546442717, 0.0172687676, -0.1129832566, 0.0370542221, -0.0810694993, -0.1215507016, -0.0409363508, 0.1522864401, -0.0194641761, -0.0097990213, 0.0738942623, -0.0726091415, -0.0502534509, 0.0582586639, 0.0076772389, 0.1340806037, 0.0113652581, -0.083157815, -0.0073827328, -0.0256354176, 0.0280048531, 0.0317531154, 0.0559026152, 0.0956877097, -0.0131189087, 0.1602113247, -0.0521008074, -0.0534394719, -0.0011495778, 0.0621140152, 0.0135874413, -0.058687035, -0.0377771035, 0.0264386162, 0.0512172915, 0.0686466992, 0.026452003, 0.0010776246, 0.0369471312, -0.0051572034, 0.0190090314, -0.0244172346, 0.0297718905, 0.0239219274, -0.0062180948, -0.0808017701, -0.0678970441, -0.1180166304, -0.028433226, -0.0685931519, 0.0867989808, 0.0234935563, 0.009223396, -0.0743761808, -0.1506800354, -0.0163986366, -0.0072354795, 0.0878163651, 0.1195159331, -0.0648984388, 0.0582586639, -0.1161960512, -0.0769999623, -0.0340020694, 0.1432906091, -0.0154080242, -0.008018598, -0.01749634, 0.0669867545, 0.0854603201, 0.1182308197, 0.030066397, -0.0747510046, -0.0019009031, 0.0913504437, 0.0289954655, 0.064362973, 0.0407221615, 0.0933316648, 0.0992217883, 0.0685396045, -0.0072890264, -0.0476028956, 0.0505479574, 0.0158899426, -0.0437475443, 0.0267197359, -0.0350730009, -0.0541355796, 0.038178701, 0.03654553, 0.0755006596, 0.0265590958, -0.0362510234, 0.0136677613, 0.0756077543, 0.1001320779, -0.1090743542, 0.0826223493, -0.0215792656, 0.0215524919, 0.0697176307, -0.0236809682, 0.0926355571, 0.0319137536, -0.0506818257, 0.0831042677, 0.0715917572, 0.0210705735, -0.0655409992, -0.0432388522, 0.072287865, -0.0280316267, 0.009303716, 0.0092702489, -0.1453253776, -0.0358226523, -0.0109101124, 0.0147253051, -0.038874805, -0.0450594351, -0.1073073149, 0.015167065, -0.0052743368, 0.0834255517, 0.0300128497, -0.0645236149, 0.0305215418, 0.0442294627, 0.095901899, -0.0779102519, -0.0897975937, -0.0198925491 ]
712.2621
Philip Massey
Nicholas W. Melena, Philip Massey, Nidia I. Morrell, and Amanda M. Zangari
The Massive Star Content of NGC 3603
Accepted by the Astronomical Journal. This revision updates the coordinates in Table 1 by (-0.18sec, +0.2") to place them on the UCAC2 system
null
10.1088/0004-6256/135/3/878
null
astro-ph
null
We investigate the massive star content of NGC 3603, the closest known giant H II region. We have obtained spectra of 26 stars in the central cluster using the Baade 6.5-m telescope (Magellan I). Of these 26 stars, 16 had no previous spectroscopy. We also obtained photometry of all of the stars with previous or new spectroscopy, primarily using archival HST ACS/HRC images. We use these data to derive an improved distance to the cluster, and to construct an H-R diagram for discussing the masses and ages of the massive star content of this cluster.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 03:42:00 GMT" }, { "version": "v2", "created": "Thu, 17 Jan 2008 14:20:58 GMT" } ]
2009-11-13T00:00:00
[ [ "Melena", "Nicholas W.", "" ], [ "Massey", "Philip", "" ], [ "Morrell", "Nidia I.", "" ], [ "Zangari", "Amanda M.", "" ] ]
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712.2622
Yuan Li
Yuan Li, Aigen Li, Daming Wei
Determining the Dust Extinction of Gamma-ray Burst Host Galaxies: A Direct Method Based on Optical and X-ray Photometry
14 pages, 2 figures, accepted for publication in ApJ
2008 APJ, Volume 678, Issue 2, pp. 1136-1141
10.1086/528734
null
astro-ph
null
The dust extinction of gamma-ray bursts (GRBs) host galaxies, containing important clues to the nature of GRB progenitors and crucial for dereddening, is still poorly known. Here we propose a straightforward method to determine the extinction of GRB host galaxies by comparing the observed optical spectra to the intrinsic ones extrapolated from the X-ray spectra. The rationale for this method is from the standard fireball model: if the optical flux decay index equals to that of the X-ray flux, then there is no break frequency between the optical and X-ray bands, therefore we can derive the intrinsic optical flux from the X-ray spectra. We apply this method to three GRBs of which the optical and X-ray fluxes have the same decay indices and another one with inferred cooling break frequency, and obtain the rest-frame extinction curves of their host galaxies. The derived extinction curves are gray and do not resemble any extinction curves of local galaxies (e.g. the Milk Way, the Small/Large Magellanic Clouds, or nearby starburst galaxies). The amount of extinction is rather large (with visual extinction $A_V$ $\sim$ 1.6--3.4$\magni$). We model the derived extinction curves in terms of the silicate-graphite interstellar grain model. As expected from the ``gray'' nature of the derived extinction curve, the dust size distribution is skewed to large grains. We determine, for the first time, the local dust-to-gas ratios of GRB host galaxies using the model-derived dust parameters and the hydrogen column densities determined from X-ray absorptions.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 03:47:55 GMT" } ]
2009-03-12T00:00:00
[ [ "Li", "Yuan", "" ], [ "Li", "Aigen", "" ], [ "Wei", "Daming", "" ] ]
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712.2623
Samuel Marateck
Samuel L. Marateck
The Yang-Mills field strength revisited
5 pages
null
null
null
math-ph math.MP physics.hist-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Yang-Mills field strength incorporating a non-Abelian feature is one of the cornerstones of the standard model. Although Yang-Mills gauge theories have been around for over fifty years, surprisingly the derivation of the Yang-Mills field strength using classical gauge theory does not appear anywhere in the literature. In their 1954 paper, Yang and Mills had to invent a non-Abelian field strength to satisfy certain criteria. In Section 5 we use Yang's gauge transformation in a heuristic derivation of the Yang-Mills field strength. The preceding sections cover material relating to the derivation. Section 3 shows where Pauli in the article cited by Yang and Mills gives an expression for the electro-magnetic field strength in terms of a commutator. For some reason, Yang and Mills did not use this approach.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:21:09 GMT" }, { "version": "v2", "created": "Tue, 11 Aug 2009 07:32:02 GMT" }, { "version": "v3", "created": "Fri, 14 Aug 2009 04:06:16 GMT" } ]
2009-08-14T00:00:00
[ [ "Marateck", "Samuel L.", "" ] ]
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712.2624
Sergei Ipatov
S.I. Ipatov
Sources of zodiacal dust
Paper (4 pages) to proceedings of the conference 'Near-Earth astronomy-2007' (Terskol, Russia, 3-7 September 2007), in press
Proc. Conf. 'Near-Earth astronomy-2007', 2008, pp. 132-138
null
null
astro-ph
null
Fractions of asteroidal particles, particles originating beyond Jupiter's orbit (including trans-Neptunian particles), and cometary particles originating inside Jupiter's orbit among zodiacal dust are estimated to be about 1/3 each, with a possible deviation from 1/3 up to 0.1-0.2. These estimates were based on the comparison of our models of the zodiacal cloud that use results of numerical integration of the orbital evolution of dust particles produced by asteroids, comets, and trans-Neptunian objects with different observations (e.g., WHAM [Wisconsin H-Alpha Mapper spectrometer] observations of spectra of zodiacal light, the number density at different distances from the Sun). The fraction of particles produced by Encke-type comets (with e~0.8-0.9) does not exceed 0.15 of the overall population. The estimated fraction of particles produced by long-period and Halley-type comets among zodiacal dust also does not exceed 0.1-0.15. Though trans-Neptunian particles fit different observations of dust inside Jupiter's orbit, they cannot be dominant in the zodiacal cloud because studies of the distribution of number density with a distance from the Sun shows that trans-Neptunian particles cannot be dominant between orbits of Jupiter and Saturn. Mean eccentricities of zodiacal particles that better fit the WHAM observations were about 0.2-0.5, with a more probable value of about 0.3.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:31:55 GMT" } ]
2010-11-29T00:00:00
[ [ "Ipatov", "S. I.", "" ] ]
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712.2625
Donald Sinclair
J. B. Kogut and D. K. Sinclair
Lattice QCD at finite temperature and density in the phase-quenched approximation
20 pages, Latex source, 6 postscript figures. Version modified for publication. Most changes made in the introduction and conclusions. One reference removed and a number of references added
Phys.Rev.D77:114503,2008
10.1103/PhysRevD.77.114503
ANL-HEP-PR-07-81
hep-lat
null
QCD at a finite quark-number chemical potential $\mu$ has a complex fermion determinant, which precludes its study by standard lattice QCD simulations. We therefore simulate lattice QCD at finite $\mu$ in the phase-quenched approximation, replacing the fermion determinant with its magnitude. These simulations are used to study the finite temperature transition for small $\mu$,where the position and nature of this transition are expected to be unchanged by this approximation. We look for the expected critical endpoint for 3-flavour QCD. Here, it had been argued that the critical point at zero $\mu$ would become the critical endpoint at small $\mu$, for quark masses just above the critical mass. Our simulations indicate that this does not happen, and there is no such critical endpoint for small $\mu$. We discuss how we might adapt techniques used for imaginary $\mu$ to improve the signal/noise ratio and strengthen our conclusions, using results from relatively low statistics studies.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:36:38 GMT" }, { "version": "v2", "created": "Mon, 12 May 2008 20:15:11 GMT" } ]
2008-11-26T00:00:00
[ [ "Kogut", "J. B.", "" ], [ "Sinclair", "D. K.", "" ] ]
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712.2626
Mais Suleymanov
M. K. Suleymanov, E. U. Khan, A Kravchakova, Mahnaz Q. Haseeb, S. M. Saleem, Y. H. Huseynaliyev, S Vokal, A.S. Vodopianov, O.B. Abdinov
Formation of the intermediate baryon systems in hadron-nuclear and nuclear-nuclear interactions
6 pages, 5 figures
null
null
null
nucl-ex
null
The centrality experiments indicate regime change and saturation in the behavior of some characteristics of the secondary particles emitted in hadron-nuclear and nuclear-nuclear interactions at high energies. The phenomenon has a critical character. The simple models do not explain the effect. We suppose that the responsible mechanism to explain the phenomenon could be the formation and decay of the intermediate baryon systems. Such systems could be formed as a result of nucleon percolation in compressed baryonic matter. Formation of big percolation cluster may change the properties of the medium, e.g., it could lead to the changing its transparency. This could be used to get a signal of the intermediate baryonic system formation. We consider two signals to identify the formation of the intermediate baryon systems: the critical changing of transparency of the strongly interacting matter and the enhancement of light nuclei production with increase in centrality.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:36:46 GMT" } ]
2007-12-18T00:00:00
[ [ "Suleymanov", "M. K.", "" ], [ "Khan", "E. U.", "" ], [ "Kravchakova", "A", "" ], [ "Haseeb", "Mahnaz Q.", "" ], [ "Saleem", "S. M.", "" ], [ "Huseynaliyev", "Y. H.", "" ], [ "Vokal", "S", "" ], [ "Vodopianov", "A. S.", "" ], [ "Abdinov", "O. B.", "" ] ]
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712.2627
Brett Milburn
Brett Milburn
Generalized Complex and Dirac Structures on Homogeneous Spaces
Preprint
null
null
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We partially describe equivariant Dirac and generalized complex structures on a homogeneous space $G/K$ by giving equivalent data involving only the Lie algebra. We consider real semisimple adjoint orbits in any semisimple Lie algebra over $\mathbb R$ and real nilpotent orbits in $sl_n (\mathbb R)$. We give a complete classification for Riemannian symmetric spaces and for a compact group modulo a closed, connected subgroup containing a Cartan subgroup.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:39:59 GMT" }, { "version": "v2", "created": "Wed, 11 Aug 2010 17:17:54 GMT" } ]
2010-08-12T00:00:00
[ [ "Milburn", "Brett", "" ] ]
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712.2628
Midori Obara
Midori Obara
The Possible Textures in the Seesaw Realization of the Strong Scaling Ansatz and the Implications for Thermal Leptogenesis
27 pages, 1 figure, references added with minor changes
null
null
null
hep-ph
null
We classify the textures of the Dirac and the right-handed Majorana neutrino mass matrices, $M_D$ and $M_R$, which can satisfy the so-called ``Strong Scaling Ansatz'' (SSA) within the framework of the seesaw mechanism $M_{\nu}=-M_D^T M_R^{-1} M_D$. We assume that the Dirac neutrino mass matrix has some texture zeros and examine which elements should be zero in order to satisfy the SSA, by taking into account all possible textures for $M_R$. We find that the resulting Dirac neutrino mass matrices have rank 2 as well as the rank of the effective neutrino mass matrix $M_{\nu}$, or rank 1, depending only on the textures of $M_R^{-1}$. We also consider the three cases of the breaking of the SSA by introducing a complex breaking parameter in $M_{\nu}$ and show that it can generate the CP violation in the lepton sector as well as non-zero $m_3$ and $U_{e3}$. We furthermore discuss the implications of the thermal leptogenesis for the both case which satisfies and breaks the SSA in the basis where $M_R$ is diagonal.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:50:07 GMT" }, { "version": "v2", "created": "Mon, 24 Dec 2007 03:22:32 GMT" } ]
2007-12-24T00:00:00
[ [ "Obara", "Midori", "" ] ]
[ 0.0618615299, -0.0671654046, 0.0126923239, -0.0402125455, -0.0884829015, 0.0470973812, -0.0012024558, -0.0407735333, -0.0153378863, -0.0132851843, -0.0344496816, 0.0480918586, -0.1034255475, 0.1014365926, 0.0084275501, 0.0494433269, 0.0838420093, -0.0083191777, -0.003305359, -0.0457459129, 0.0190480482, -0.0737442523, 0.1048535109, 0.0479643606, 0.0393965654, -0.0763961896, 0.107913442, -0.1140332967, 0.1494264603, -0.0059541087, -0.0092690298, -0.0935827792, -0.1256610155, -0.1748238504, -0.0743052363, -0.0198512785, -0.0608415566, 0.0144454073, -0.0539057218, -0.0388355777, 0.0337357, 0.072979264, -0.1373907328, 0.0958267227, 0.0240969285, 0.0556906797, 0.0351636671, 0.0090969093, 0.0490098372, 0.0140629159, 0.0705823228, 0.080629088, 0.0507182963, -0.0915938243, -0.0840460062, -0.0242626742, -0.0212282464, 0.0475563705, 0.005896735, -0.0350106694, -0.0713983029, -0.1001616195, -0.0542627126, 0.0112324832, -0.0545687042, -0.0384275876, 0.0120612141, 0.0350871682, 0.0406460352, -0.0023682562, -0.0124054551, -0.0990396515, 0.0459499098, -0.0175563339, -0.0524267554, -0.1024565697, 0.0118317194, 0.0262643769, -0.0987846553, 0.0640034825, -0.0368466265, -0.026672367, -0.0619125292, 0.0048034484, -0.0095495237, -0.0004279117, 0.0562006645, 0.0664004236, -0.1201531515, 0.0426094867, 0.0040161544, -0.0119783403, 0.0179898236, 0.0154016344, 0.1031705514, -0.0739482418, 0.0415130146, 0.0250914041, 0.0592605919, -0.0398810543, -0.075478211, -0.0042201499, 0.05732264, 0.045873411, 0.0544667058, -0.0318742432, 0.0184360631, -0.0439354554, -0.1037315354, 0.0132214362, 0.0113026071, -0.0224649664, -0.0483978502, 0.0334297046, -0.0068465876, -0.1116873473, -0.081649065, 0.0144326575, -0.0453124233, 0.0317467451, -0.0150701422, 0.0156311281, 0.0536507256, 0.0088100405, 0.0422524959, -0.1360647678, 0.018244816, -0.0541097149, -0.066706419, 0.037229117, 0.1165832356, 0.0348321721, -0.0453124233, -0.0393710658, -0.1130133197, 0.0705313236, 0.0161538664, -0.0482958518, 0.2072590739, 0.0070697074, -0.0228474569, 0.010282631, 0.0177858286, 0.0794051141, -0.0131194387, 0.0491373353, 0.035928648, 0.0392435677, 0.0906248465, -0.0457204133, -0.0260858815, -0.0636974871, 0.0456694141, -0.0001439321, -0.0292478055, -0.1218871102, -0.0067955889, 0.0179388244, 0.0465618931, -0.0057788002, 0.0854739696, 0.0033627327, 0.0308797676, -0.0342201889, 0.0697153434, 0.030930765, -0.0660434291, 0.0220059771, -0.1076074466, -0.1238250583, -0.0059923576, -0.0062569138, -0.081649065, -0.1318828762, 0.0456439182, 0.0328687206, -0.0052974992, -0.1391246915, 0.0487038456, 0.0052943118, 0.0668594092, 0.0910838395, -0.0633405, 0.0344751813, -0.1151552647, -0.007713567, 0.0143816583, 0.0815470666, -0.0311092623, -0.0066617168, -0.0488823391, 0.0707353204, 0.0738462433, 0.1338208169, 0.0721122846, -0.0943987593, 0.0821590498, 0.1338208169, 0.0638504848, 0.0064768461, -0.0027666844, 0.0449044332, 0.0910838395, -0.0704293251, -0.0631365031, -0.0378920995, 0.0578326285, -0.0939907655, -0.0114046047, -0.0212664958, 0.0719592944, 0.0119082173, 0.0260476321, -0.0761411935, -0.0506672971, 0.044853434, -0.0317212455, -0.0137314238, 0.0857799649, 0.0546707027, -0.0774161592, 0.0092817796, -0.0346026793, 0.033123713, 0.0909818411, -0.0083956756, 0.0578836277, 0.06828738, 0.0988356546, 0.0856779665, 0.0589546002, -0.0181938186, -0.0326647237, 0.0107097458, 0.045592919, -0.0617595352, -0.0460774079, -0.003289422, -0.0447259396, 0.0324862301, -0.0307522696, -0.0164726097, -0.0214704908, 0.0723672807, -0.0177858286, 0.052732747, -0.0131959366, -0.0011371137, 0.0957247242, 0.1050575078, -0.0001269989, 0.0637484863, 0.0246579144, -0.0058042998, -0.1058734879, 0.1015385911 ]
712.2629
Toshiya Itoh
Ryoso Hamane, Toshiya Itoh, and Kouhei Tomita
Approximation Algorithms for the Highway Problem under the Coupon Model
13 pages, 5 figures
IEICE Trans. on Fundamentals, E92-A(8), pp.1779-1786, 2009
10.1587/transfun.E92.A.1779
null
cs.DS
null
When a store sells items to customers, the store wishes to determine the prices of the items to maximize its profit. Intuitively, if the store sells the items with low (resp. high) prices, the customers buy more (resp. less) items, which provides less profit to the store. So it would be hard for the store to decide the prices of items. Assume that the store has a set V of n items and there is a set E of m customers who wish to buy those items, and also assume that each item i \in V has the production cost d_i and each customer e_j \in E has the valuation v_j on the bundle e_j \subseteq V of items. When the store sells an item i \in V at the price r_i, the profit for the item i is p_i=r_i-d_i. The goal of the store is to decide the price of each item to maximize its total profit. In most of the previous works, the item pricing problem was considered under the assumption that p_i \geq 0 for each i \in V, however, Balcan, et al. [In Proc. of WINE, LNCS 4858, 2007] introduced the notion of loss-leader, and showed that the seller can get more total profit in the case that p_i < 0 is allowed than in the case that p_i < 0 is not allowed. In this paper, we consider the line and the cycle highway problem, and show approximation algorithms for the line and/or cycle highway problem for which the smallest valuation is s and the largest valuation is \ell or all valuations are identical.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 04:47:38 GMT" }, { "version": "v2", "created": "Fri, 4 Jan 2008 05:54:40 GMT" } ]
2011-09-29T00:00:00
[ [ "Hamane", "Ryoso", "" ], [ "Itoh", "Toshiya", "" ], [ "Tomita", "Kouhei", "" ] ]
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712.263
Juan J. Merelo Pr.
Nestor Zorzano, Daniel Merino, J.L.J. Laredo, J.P. Sevilla, Pablo Garcia, J.J. Merelo
Evolving XSLT stylesheets
First draft, preparing for WCCI 2008
null
null
null
cs.NE cs.PL
null
This paper introduces a procedure based on genetic programming to evolve XSLT programs (usually called stylesheets or logicsheets). XSLT is a general purpose, document-oriented functional language, generally used to transform XML documents (or, in general, solve any problem that can be coded as an XML document). The proposed solution uses a tree representation for the stylesheets as well as diverse specific operators in order to obtain, in the studied cases and a reasonable time, a XSLT stylesheet that performs the transformation. Several types of representation have been compared, resulting in different performance and degree of success.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 19:59:42 GMT" } ]
2007-12-18T00:00:00
[ [ "Zorzano", "Nestor", "" ], [ "Merino", "Daniel", "" ], [ "Laredo", "J. L. J.", "" ], [ "Sevilla", "J. P.", "" ], [ "Garcia", "Pablo", "" ], [ "Merelo", "J. J.", "" ] ]
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712.2631
Ostrover Yaron
Shiri Artstein-Avidan, Yaron Ostrover
A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains
26 pages
null
null
null
math.SG math.DS
null
In this work we prove a Brunn-Minkowski-type inequality in the context of symplectic geometry and discuss some of its applications.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 05:33:06 GMT" }, { "version": "v2", "created": "Thu, 27 Dec 2007 16:22:08 GMT" } ]
2007-12-27T00:00:00
[ [ "Artstein-Avidan", "Shiri", "" ], [ "Ostrover", "Yaron", "" ] ]
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712.2632
Todor Todorov D.
Angel P. Popov, Todor D. Todorov
Exponentiating $2\times2$ and $3\times3$ Matrices Done Right
17 pages
null
null
null
math.HO
null
We derive explicit formulas for calculating $e^A$, $\cosh{A}$, $\sinh{A}, \cos{A}$ and $\sin{A}$ for a given $2\times2$ matrix $A$. We also derive explicit formulas for $e^A$ for a given $3\times3$ matrix $A$. These formulas are expressed exclusively in terms of the characteristic roots of $A$ and involve neither the eigenvectors of $A$, nor the transition matrix associated with a particular canonical basis. We believe that our method has advantages (especially if applied by non-mathematicians or students) over the more conventional methods based on the choice of canonical bases. We support this point with several examples for solving first order linear systems of ordinary differential equations with constant coefficients.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 05:38:42 GMT" } ]
2007-12-18T00:00:00
[ [ "Popov", "Angel P.", "" ], [ "Todorov", "Todor D.", "" ] ]
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712.2633
Baruch Feldman
Baruch Feldman, Rui Deng, Scott T. Dunham
Dependence of resistivity on surface profile in nanoscale metal films and wires
null
J. Appl. Phys. 103, 113715 (2008)
10.1063/1.2937085
null
cond-mat.mes-hall cond-mat.other
null
We extend quantum models of nanowire surface scattering to incorporate bulk resistivity and extract an expression for the increased resistivity due to surface roughness. To learn how to improve conductivity, we calculate conductivity degradation from individual wavelengths of surface roughness, and show how these can be convolved to give resistivity for arbitrary surfaces. We review measurements from Cu films and conclude that roughness at short wavelengths (less than 100 nm) dominates scattering, and that primarily specular scattering should be achievable for RMS roughness below about 0.7 nm.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:53:15 GMT" } ]
2008-06-18T00:00:00
[ [ "Feldman", "Baruch", "" ], [ "Deng", "Rui", "" ], [ "Dunham", "Scott T.", "" ] ]
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712.2634
Thomas Gardiner
Thomas A. Gardiner, James M. Stone
An Unsplit Godunov Method for Ideal MHD via Constrained Transport in Three Dimensions
Extended version of the paper accepted for publication in JCP
J.Comput.Phys.227:4123-4141,2008
10.1016/j.jcp.2007.12.017
null
astro-ph
null
We present a single step, second-order accurate Godunov scheme for ideal MHD which is an extension of the method described by Gardiner & Stone (2005) to three dimensions. This algorithm combines the corner transport upwind (CTU) method of Colella for multidimensional integration, and the constrained transport (CT) algorithm for preserving the divergence-free constraint on the magnetic field. We describe the calculation of the PPM interface states for 3D ideal MHD which must include multidimensional ``MHD source terms'' and naturally respect the balance implicit in these terms by the ${\bf\nabla\cdot B}=0$ condition. We compare two different forms for the CTU integration algorithm which require either 6- or 12-solutions of the Riemann problem per cell per time-step, and present a detailed description of the 6-solve algorithm. Finally, we present solutions for test problems to demonstrate the accuracy and robustness of the algorithm.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:08:38 GMT" } ]
2008-11-26T00:00:00
[ [ "Gardiner", "Thomas A.", "" ], [ "Stone", "James M.", "" ] ]
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712.2635
Taku J. Sato
Taku J Sato, Shiro Kashimoto, Chihiro Masuda, Takahiro Onimaru, Isao Nakanowatari, Kazuki Iida, Rei Morinaga, Tsutomu Ishimasa
Neutron scattering study on spin correlations and fluctuations in the transition-metal-based magnetic quasicrystal Zn-Fe-Sc
To be published in Phys. Rev. B
null
10.1103/PhysRevB.77.014437
null
cond-mat.mtrl-sci
null
Spin correlations and fluctuations in the 3d-transition-metal-based icosahedral quasicrystal Zn-Fe-Sc have been investigated by neutron scattering using polycrystalline samples. Magnetic diffuse scattering has been observed in the elastic experiment at low temperatures, indicating development of static short-range-spin correlations. In addition, the inelastic scattering experiment detects a $Q$-independent quasielastic signal ascribed to single-site relaxational spin fluctuations. Above the macroscopic freezing temperature $T_{\rm f} \simeq 7$ K, the spin relaxation rate shows Arrhenius-type behavior, indicating thermally activated relaxation process. In contrast, the relaxation rate remains finite even at the lowest temperature, suggesting a certain quantum origin for the spin fluctuations below $T_{\rm f}$.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:08:11 GMT" } ]
2009-11-13T00:00:00
[ [ "Sato", "Taku J", "" ], [ "Kashimoto", "Shiro", "" ], [ "Masuda", "Chihiro", "" ], [ "Onimaru", "Takahiro", "" ], [ "Nakanowatari", "Isao", "" ], [ "Iida", "Kazuki", "" ], [ "Morinaga", "Rei", "" ], [ "Ishimasa", "Tsutomu", "" ] ]
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712.2636
Brett Milburn
Brett Milburn
Two Categories of Dirac Manifolds
null
null
null
null
math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define two categories of Dirac manifolds, i.e. manifolds with complex Dirac structures. The first notion of maps I call \emph{Dirac maps}, and the category of Dirac manifolds is seen to contain the categories of Poisson and complex manifolds as full subcategories. The second notion, \emph{dual-Dirac maps}, defines a \emph{dual-Dirac category} which contains presymplectic and complex manifolds as full subcategories. The dual-Dirac maps are stable under B-transformations. In particular we get two structures of a category on Hitchin'sgeneralized complex manifolds, i.e., two reasonable notions of generalized complex maps. We also generalize further to get categories of Dirac manifolds for which the Dirac structures lie in arbitrary exact Courant algebroids. As an example, we consider the case of a Lie group with a complex Dirac structure and establish conditions for which multiplication is a Dirac map.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 19:35:47 GMT" }, { "version": "v2", "created": "Thu, 14 Feb 2008 01:10:09 GMT" }, { "version": "v3", "created": "Sat, 7 Aug 2010 16:35:31 GMT" } ]
2010-08-10T00:00:00
[ [ "Milburn", "Brett", "" ] ]
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712.2637
Sergey Foss
Sergey G. Foss and Anatolii A. Puhalskii
On the Limit Law of a Random Walk Conditioned to Reach a High Level
null
Stochastic Processes and Their Applications, 1221 (2011), 288-313
null
null
math.PR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a random walk with a negative drift and with a jump distribution which under Cram\'er's change of measure belongs to the domain of attraction of a spectrally positive stable law. If conditioned to reach a high level and suitably scaled, this random walk converges in law to a nondecreasing Markov process which can be interpreted as a spectrally-positive L\'evy %-Khinchin process conditioned not to overshoot level one.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:26:47 GMT" }, { "version": "v2", "created": "Thu, 3 Sep 2009 03:16:35 GMT" }, { "version": "v3", "created": "Fri, 17 Aug 2012 16:23:09 GMT" } ]
2012-08-20T00:00:00
[ [ "Foss", "Sergey G.", "" ], [ "Puhalskii", "Anatolii A.", "" ] ]
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712.2638
Steve Oudot
Fr\'ed\'eric Chazal (INRIA Sophia Antipolis), Steve Oudot (INRIA Sophia Antipolis)
Towards Persistence-Based Reconstruction in Euclidean Spaces
null
null
null
null
cs.CG math.AT
null
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recently, significant improvements were made in higher dimensions, leading to new methods to reconstruct large classes of compact subsets of Euclidean space $\R^d$. However, the complexities of these methods scale up exponentially with d, which makes them impractical in medium or high dimensions, even for handling low-dimensional submanifolds. In this paper, we introduce a novel approach that stands in-between classical reconstruction and topological estimation, and whose complexity scales up with the intrinsic dimension of the data. Specifically, when the data points are sufficiently densely sampled from a smooth $m$-submanifold of $\R^d$, our method retrieves the homology of the submanifold in time at most $c(m)n^5$, where $n$ is the size of the input and $c(m)$ is a constant depending solely on $m$. It can also provably well handle a wide range of compact subsets of $\R^d$, though with worse complexities. Along the way to proving the correctness of our algorithm, we obtain new results on \v{C}ech, Rips, and witness complex filtrations in Euclidean spaces.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:30:08 GMT" }, { "version": "v2", "created": "Tue, 18 Dec 2007 10:26:34 GMT" } ]
2007-12-18T00:00:00
[ [ "Chazal", "Frédéric", "", "INRIA Sophia Antipolis" ], [ "Oudot", "Steve", "", "INRIA\n Sophia Antipolis" ] ]
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712.2639
Chih-Hao Hsia
Chih Hao Hsia (IANCU), Jin Zeng Li (NAOC), Wing-Huen Ip (IANCU)
The H$\alpha$ Halo Distribution of 10 Nearby Planetary Nebulae based on the SHASSA Imaging Data
28 pages, 11 figures, 3 tables, submitted to New Astronomy
null
null
null
astro-ph
null
Here we present initial results of our search for extensive halos around the planetary nebulae (PNe) in our Galaxy based on imaging data from the Southern H-Alpha Sky Survey Atlas (SHASSA). A threshold surface brightness in H$\alpha$ emission was used to help identify the spatially extended features of the PNe. We investigated a sample that included 10 PNe, the large majority of which were found to be surrounded by extensive outer halos. The formation of these halos might be closely related to the AGB phase mass loss and/or the interaction of the stellar outflows with the interstellar medium. Most of these outer halos are nearly spherical. Close investigation of some specific objects, such as He 2-111 and NGC 3242, indicate a kinematic age on the order of 10$^{5}$ yrs. The mass loss history can be traced back to the late AGB phase of the evolution of the progenitors. Two objects form the sample (He 2-111, NGC 3242), were found to have outer halos with fragmented arcs that are apparently the result of their interaction with the interstellar medium.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:49:53 GMT" } ]
2007-12-18T00:00:00
[ [ "Hsia", "Chih Hao", "", "IANCU" ], [ "Li", "Jin Zeng", "", "NAOC" ], [ "Ip", "Wing-Huen", "", "IANCU" ] ]
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712.264
Yeow Meng Chee
Yeow Meng Chee, Charles J. Colbourn, and Alan C. H. Ling
Optimal Memoryless Encoding for Low Power Off-Chip Data Buses
Proceedings of the 2006 IEEE/ACM international Conference on Computer-Aided Design (San Jose, California, November 05 - 09, 2006). ICCAD '06. ACM, New York, NY, 369-374
null
10.1145/1233501.1233575
null
cs.AR cs.DM cs.IT math.IT
null
Off-chip buses account for a significant portion of the total system power consumed in embedded systems. Bus encoding schemes have been proposed to minimize power dissipation, but none has been demonstrated to be optimal with respect to any measure. In this paper, we give the first provably optimal and explicit (polynomial-time constructible) families of memoryless codes for minimizing bit transitions in off-chip buses. Our results imply that having access to a clock does not make a memoryless encoding scheme that minimizes bit transitions more powerful.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:37:11 GMT" } ]
2007-12-18T00:00:00
[ [ "Chee", "Yeow Meng", "" ], [ "Colbourn", "Charles J.", "" ], [ "Ling", "Alan C. H.", "" ] ]
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712.2641
Dave Anderson
Dave Anderson
Chern class formulas for $G_2$ Schubert loci
35 pages, part of the author's Ph. D. thesis; v2 includes streamlined exposition and modified conventions, and excludes tables of formulas; v3 includes minor expositional changes and a table of G_2 Schubert polynomials based on the polynomials of Billey and Haiman. To appear in Trans. Amer. Math. Soc
Trans. Amer. Math. Soc. 363 (2011), 6615-6646
null
null
math.AG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We define degeneracy loci for vector bundles with structure group $G_2$, and give formulas for their cohomology (or Chow) classes in terms of the Chern classes of the bundles involved. When the base is a point, such formulas are part of the theory for rational homogeneous spaces developed by Bernstein-Gelfand-Gelfand and Demazure. This has been extended to the setting of general algebraic geometry by Giambelli-Thom-Porteous, Kempf-Laksov, and Fulton in classical types; the present work carries out the analogous program in type $G_2$. We include explicit descriptions of the $G_2$ flag variety and its Schubert varieties, and several computations, including one that answers a question of W. Graham. In appendices, we collect some facts from representation theory and compute the Chow rings of quadric bundles, clarifying a previous computation of Edidin and Graham.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:45:25 GMT" }, { "version": "v2", "created": "Sat, 10 Jan 2009 19:44:22 GMT" }, { "version": "v3", "created": "Tue, 30 Aug 2011 17:04:04 GMT" } ]
2011-09-02T00:00:00
[ [ "Anderson", "Dave", "" ] ]
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712.2642
Stephane Roux
Stephane Roux (LMT), Fran\c{c}ois Hild (LMT), Philippe Viot (LAMEFIP), Dominique Bernard (ICMCB)
Three dimensional image correlation from X-Ray computed tomography of solid foam
nombre de pages = 34
Composites A: Applied Science and Manufacturing (2007) 0
10.1016/j.physletb.2003.10.071
null
physics.class-ph
null
A new methodology is proposed to estimate 3D displacement fields from pairs of images obtained from X-Ray Computed Micro Tomography (XCMT). Contrary to local approaches, a global approach is followed herein that evaluates {\em continuous} displacement fields. Although any displacement basis could be considered, the procedure is specialized to finite element shape functions. The method is illustrated with the analysis of a compression test on a polypropylene solid foam (independently studied in a companion paper). A good stability of the measured displacement field is obtained for cubic element sizes ranging from 16 voxels to 6 voxels.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 06:58:55 GMT" } ]
2007-12-18T00:00:00
[ [ "Roux", "Stephane", "", "LMT" ], [ "Hild", "François", "", "LMT" ], [ "Viot", "Philippe", "", "LAMEFIP" ], [ "Bernard", "Dominique", "", "ICMCB" ] ]
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712.2643
Cyrille Bertelle
Pierrick Tranouez (LITIS), Cyrille Bertelle (LITIS), Damien Olivier (LITIS)
Changing Levels of Description in a Fluid Flow Simulation
null
Emergent Properties in Natural and Artificial Dynamical Systems, Springer (Ed.) (2006) 87-99
null
null
physics.flu-dyn cs.CE
null
We describe here our perception of complex systems, of how we feel the different layers of description are important part of a correct complex system simulation. We describe a rough models categorization between rules based and law based, of how these categories handled the levels of descriptions or scales. We then describe our fluid flow simulation, which combines different fineness of grain in a mixed approach of these categories. This simulation is built keeping in mind an ulterior use inside a more general aquatic ecosystem.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 07:07:06 GMT" } ]
2007-12-18T00:00:00
[ [ "Tranouez", "Pierrick", "", "LITIS" ], [ "Bertelle", "Cyrille", "", "LITIS" ], [ "Olivier", "Damien", "", "LITIS" ] ]
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712.2644
Cyrille Bertelle
Rawan Ghnemat (LITIS), Saleh Oqeili (IT), Cyrille Bertelle (LITIS), G\'erard Henry Edmond Duchamp (LIPN)
Automata-based Adaptive Behavior for Economical Modelling Using Game Theory
null
Emergent Properties in Natural and Artificial Dynamical Systems, Springer (Ed.) (2006) 171-183
null
null
cs.GT cs.CC
null
In this chapter, we deal with some specific domains of applications to game theory. This is one of the major class of models in the new approaches of modelling in the economic domain. For that, we use genetic automata which allow to build adaptive strategies for the players. We explain how the automata-based formalism proposed - matrix representation of automata with multiplicities - allows to define semi-distance between the strategy behaviors. With that tools, we are able to generate an automatic processus to compute emergent systems of entities whose behaviors are represented by these genetic automata.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 07:07:54 GMT" } ]
2007-12-18T00:00:00
[ [ "Ghnemat", "Rawan", "", "LITIS" ], [ "Oqeili", "Saleh", "", "IT" ], [ "Bertelle", "Cyrille", "", "LITIS" ], [ "Duchamp", "Gérard Henry Edmond", "", "LIPN" ] ]
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712.2645
Volkmar Welker
Francesco Brenti and Volkmar Welker
The Veronese Construction for Formal Power Series and Graded Algebras
null
null
null
null
math.CO math.AC
null
Let $(a_n)_{n \geq 0}$ be a sequence of complex numbers such that its generating series satisfies $\sum_{n \geq 0} a_nt^n = \frac{h(t)}{(1-t)^d}$ for some polynomial $h(t)$. For any $r \geq 1$ we study the transformation of the coefficient series of $h(t)$ to that of $h^{< r >}(t)$ where $\sum_{n \geq 0} a_{nr} t^n = \frac{h^{< r >}(t)}{(1-t)^d}$. We give a precise description of this transformation and show that under some natural mild hypotheses the roots of $h^{< r >}(t)$ converge when $r$ goes to infinity. In particular, this holds if $\sum_{n \geq 0} a_n t^n$ is the Hilbert series of a standard graded $k$-algebra $A$. If in addition $A$ is Cohen-Macaulay then the coefficients of $h^{< r >}(t)$ are monotonely increasing with $r$. If $A$ is the Stanley-Reisner ring of a simplicial complex $\Delta$ then this relates to the $r$th edgewise subdivision of $\Delta$ which in turn allows some corollaries on the behavior of the respective $f$-vectors.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 07:43:44 GMT" } ]
2007-12-18T00:00:00
[ [ "Brenti", "Francesco", "" ], [ "Welker", "Volkmar", "" ] ]
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712.2646
Bal\'azs R\'ath
Bal\'azs R\'ath, B\'alint T\'oth
Triangle percolation in mean field random graphs -- with PDE
Summary of the changes made: We have changed a remark about k-clique percolation in the first paragraph. Two new paragraphs are inserted after equation (4.4) with two applications of the equation. We have changed the names of some variables in our formulas
null
10.1007/s10955-008-9499-x
null
math-ph math.MP
null
We apply a PDE-based method to deduce the critical time and the size of the giant component of the ``triangle percolation'' on the Erd\H{o}s-R\'enyi random graph process investigated by Palla, Der\'enyi and Vicsek
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:02:50 GMT" }, { "version": "v2", "created": "Mon, 3 Mar 2008 06:40:14 GMT" } ]
2009-11-13T00:00:00
[ [ "Ráth", "Balázs", "" ], [ "Tóth", "Bálint", "" ] ]
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712.2647
Peter Kleinert
P. Kleinert and V.V. Bryksin
Field-induced spin excitations in Rashba-Dresselhaus two-dimensional electron systems probed by surface acoustic waves
13 pages, 2 figures
null
null
null
cond-mat.mtrl-sci cond-mat.other
null
A spin-rotation symmetry in spin-orbit coupled two-dimensional electron systems gives rise to a long-lived spin excitation that is robust against short-range impurity scattering. The influence of a constant in-plane electric field on this persistent spin helix is studied. To probe the field-induced eigen-modes of the spin-charge coupled system, a surface acoustic wave is exploited that provides the wave-vector for resonant excitation. The approach takes advantage of methods worked out in the field of space-charge waves. Sharp resonances in the field dependence of the in-plane and out-of-plane magnetization are identified.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:03:39 GMT" } ]
2007-12-18T00:00:00
[ [ "Kleinert", "P.", "" ], [ "Bryksin", "V. V.", "" ] ]
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712.2648
Jie Ren
Jie Ren, Xin-He Meng, Liu Zhao
Exact solutions of embedding the four-dimensional perfect fluid in a five- or higher-dimensional Einstein spacetime and the cosmological interpretations
8 pages, 1 figures; v2: minor errors corrected; v3: references added; v4: matches the version to appear in PLB
Phys.Lett.B662:360-366,2008
10.1016/j.physletb.2008.03.023
null
hep-th gr-qc
null
We investigate an exact solution that describes the embedding of the four-dimensional (4D) perfect fluid in a five-dimensional (5D) Einstein spacetime. The effective metric of the 4D perfect fluid as a hypersurface with induced matter is equivalent to the Robertson-Walker metric of cosmology. This general solution shows interconnections among many 5D solutions, such as the solution in the braneworld scenario and the topological black hole with cosmological constant. If the 5D cosmological constant is positive, the metric periodically depends on the extra dimension. Thus we can compactify the extra dimension on $S^1$ and study the phenomenological issues. We also generalize the metric ansatz to the higher-dimensional case, in which the 4D part of the Einstein equations can be reduced to a linear equation.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:09:36 GMT" }, { "version": "v2", "created": "Tue, 18 Dec 2007 11:59:11 GMT" }, { "version": "v3", "created": "Wed, 19 Dec 2007 15:42:49 GMT" }, { "version": "v4", "created": "Fri, 21 Mar 2008 08:30:00 GMT" } ]
2008-11-26T00:00:00
[ [ "Ren", "Jie", "" ], [ "Meng", "Xin-He", "" ], [ "Zhao", "Liu", "" ] ]
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712.2649
Surajit Sen
Mihir Ranjan Nath, Tushar Kanti Dey, Surajit Sen and Gautam Gangopadhyay
Effect of field quantization on Rabi oscillation of equidistant cascade four-level system
14 pages, 4 Figures
Pramana - Journal of Physics, Vol.70, (2008) 141
null
null
quant-ph
null
We have exactly solved a model of equidistant cascade four-level system interacting with a single-mode radiation field both semiclassically and quantum mechanically by exploiting its similarity with Jaynes-Cummings model. For the classical field, it is shown that the Rabi oscillation of the system initially in the first level (second level) is similar to that of the system when it is initially in the fourth level (third level). We then proceed to solve the quantized version of the model where the dressed state is constructed by using a six parameter four-dimensional matrix and show that the symmetry exhibited in the Rabi oscillation of the system for the semiclassical model is completely destroyed on the quantization of the cavity field. Finally we have studied the collapse and revival of the system for the cavity field-mode in a coherent state to discuss the restoration of symmetry and its implication is discussed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:34:33 GMT" }, { "version": "v2", "created": "Mon, 28 Jan 2008 11:18:43 GMT" } ]
2008-01-28T00:00:00
[ [ "Nath", "Mihir Ranjan", "" ], [ "Dey", "Tushar Kanti", "" ], [ "Sen", "Surajit", "" ], [ "Gangopadhyay", "Gautam", "" ] ]
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712.265
Renxin Xu
Hai-Chuan Guo (CAS), Ren-Xin Xu (PKU), Cheng-Min Zhang (CAS)
A TFD model for the Electrospheres of Bare Strange Quark Stars
5 pages, 3 figures, submitted
null
null
null
astro-ph
null
We study the layer of electrons on bare strange star surfaces, taking the Dirac exchange-energy into account. Because electrons are fermions, the electron wave function must be of exchange-antisymmetry. The Dirac exchange-energy originates, consequently, from the exchange-antisymmetry of electron wave functions. This consideration may result in changing the electron distribution and the electric field on the surface of bare strange star. The strong magnetic field effect on the structures of the electrospheres is also discussed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:38:26 GMT" } ]
2007-12-18T00:00:00
[ [ "Guo", "Hai-Chuan", "", "CAS" ], [ "Xu", "Ren-Xin", "", "PKU" ], [ "Zhang", "Cheng-Min", "", "CAS" ] ]
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712.2651
Nicolas Michel
Nicolas Michel
Direct demonstration of the completeness of the eigenstates of the Schrodinger equation with local and non-local potentials bearing a Coulomb tail
25 pages; accepted in Journal of Mathematical Physics ; Corrected version
null
null
null
math-ph math.MP
null
Demonstrating the completeness of wave functions solutions of the radial Schrodinger equation is a very difficult task. Existing proofs, relying on operator theory, are often very abstract and far from intuitive comprehension. However, it is possible to obtain rigorous proofs amenable to physical insight, if one restricts the considered class of Schrodinger potentials. One can mention in particular unbounded potentials yielding a purely discrete spectrum and short-range potentials. However, those possessing a Coulomb tail, very important for physical applications, have remained problematic due to their long-range character. The method proposed in this paper allows to treat them correctly, provided the non-Coulomb part of potentials vanishes after a finite radius. Non-locality of potentials can also be handled. The main idea in the proposed demonstration is that regular solutions behave like sine/cosine functions for large momenta, so that their expansions verify Fourier transform properties. The highly singular point at k = 0 of long-range potentials is dealt with properly using analytical properties of Coulomb wave functions. Lebesgue measure theory is avoided, rendering the demonstration clear from a physical point of view.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:43:59 GMT" }, { "version": "v2", "created": "Mon, 14 Jan 2008 13:57:36 GMT" }, { "version": "v3", "created": "Tue, 12 Feb 2008 14:25:38 GMT" } ]
2008-02-12T00:00:00
[ [ "Michel", "Nicolas", "" ] ]
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712.2652
Ting Zhang
Ting Zhang, Daoyuan Fang
Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations
39 pages
null
10.1007/s00220-008-0631-1
null
math.AP
null
In this paper, we consider a global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations (\textit{ANS}). In order to do so, we first introduce the scaling invariant Besov-Sobolev type spaces, $B^{-1+\frac{2}{p},{1/2}}_{p}$ and $B^{-1+\frac{2}{p},{1/2}}_{p}(T)$, $p\geq2$. Then, we prove the global wellposedness for (\textit{ANS}) provided the initial data are sufficient small compared to the horizontal viscosity in some suitable sense, which is stronger than $B^{-1+\frac{2}{p},{1/2}}_{p}$ norm. In particular, our results imply the global wellposedness of (\textit{ANS}) with high oscillatory initial data.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:04:50 GMT" }, { "version": "v2", "created": "Fri, 18 Apr 2008 12:31:25 GMT" } ]
2009-11-13T00:00:00
[ [ "Zhang", "Ting", "" ], [ "Fang", "Daoyuan", "" ] ]
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712.2653
Alexei Strelchenko
Alexei Strelchenko
On space-time noncommutative U(1) model at high temperature
Talk given at the 8th Workshop "Quantum Field Theory Under the Influence of External Conditions", Leipzig, Germany, 17-21 September 2007; 7 pages, v2: minor changes
J.Phys.A41:164073,2008
10.1088/1751-8113/41/16/164073
null
hep-th
null
We extend the results of Ref. [arXiv:0705.4294] to noncommutative gauge theories at finite temperature. In particular, by making use of the background field method, we analyze renormalization issues and the high-temperature asymptotics of the one-loop Euclidean free energy of the noncommutative U(1) gauge model within imaginary time formalism. As a by-product, the heat trace of the non-minimal photon kinetic operator on noncommutative $S^1 \times R^3$ manifold taken in an arbitrary background gauge is investigated. All possible types of noncommutativity on $S^1 \times R^3$ are considered. It is demonstrated that the non-planar sector of the model does not contribute to the free energy of the system at high temperature. The obtained results are discussed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 08:57:46 GMT" }, { "version": "v2", "created": "Wed, 30 Jan 2008 18:22:43 GMT" } ]
2008-11-26T00:00:00
[ [ "Strelchenko", "Alexei", "" ] ]
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712.2654
Janusz Szwabi\'nski
A. P\c{e}kalski (1), J. Szwabi\'nski (1 and 2), I. Bena (2) and M. Droz (2) ((1) Institute of Theoretical Physics, University of Wroc{\l}aw, Wroc{\l}aw, Poland (2) D\'epartement de Physique Th\'eorique, Universit\'e de Gen\`eve, Gen\`eve, Switzerland)
Extinction risk and structure of a food web model
9 pages, 15 figures
null
10.1103/PhysRevE.77.031917
null
q-bio.PE cond-mat.stat-mech physics.bio-ph
null
We investigate in detail the model of a trophic web proposed by Amaral and Meyer [Phys. Rev. Lett. 82, 652 (1999)]. We focused on small-size systems that are relevant for real biological food webs and for which the fluctuations are playing an important role. We show, using Monte Carlo simulations, that such webs can be non-viable, leading to extinction of all species in small and/or weakly coupled systems. Estimations of the extinction times and survival chances are also given. We show that before the extinction the fraction of highly-connected species ("omnivores") is increasing. Viable food webs exhibit a pyramidal structure, where the density of occupied niches is higher at lower trophic levels, and moreover the occupations of adjacent levels are closely correlated. We also demonstrate that the distribution of the lengths of food chains has an exponential character and changes weakly with the parameters of the model. On the contrary, the distribution of avalanche sizes of the extinct species depends strongly on the connectedness of the web. For rather loosely connected systems we recover the power-law type of behavior with the same exponent as found in earlier studies, while for densely-connected webs the distribution is not of a power-law type.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:01:49 GMT" } ]
2009-11-13T00:00:00
[ [ "Pȩkalski", "A.", "", "1 and 2" ], [ "Szwabiński", "J.", "", "1 and 2" ], [ "Bena", "I.", "" ], [ "Droz", "M.", "" ] ]
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712.2655
Herve Aubin
P. Spathis, H. Aubin, A. Pourret, K. Behnia
Nernst effect in the phase-fluctuating superconductor InO$_x$
4 pages, 4 figures
null
10.1209/0295-5075/83/57005
null
cond-mat.supr-con cond-mat.str-el
null
We present a study of the Nernst effect in amorphous 2D superconductor InO$_x$, whose low carrier density implies low phase rigidity and strong superconducting phase fluctuations. Instead of presenting the abrupt jump expected at a BCS transition, the Nernst signal evolves continuously through the superconducting transition as previously observed in underdoped cuprates. This contrasts with the case of Nb$_{0.15}$Si$_{0.85}$, where the Nernst signal due to vortices below T$_{c}$ and by Gaussian fluctuations above are clearly distinct. The behavior of the ghost critical field in InO$_x$ points to a correlation length which does not diverge at $T_c$, a temperature below which the amplitude fluctuations freeze, but phase fluctuations survive.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:02:56 GMT" } ]
2009-11-13T00:00:00
[ [ "Spathis", "P.", "" ], [ "Aubin", "H.", "" ], [ "Pourret", "A.", "" ], [ "Behnia", "K.", "" ] ]
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712.2656
Gracjan Maciejewski
Gracjan Maciejewski
Wide-field stellar photometry in Piwnice Observatory
Lecture at scientific seminar, accepted for publication in the Astrophysical Investigations
null
null
null
astro-ph
null
In this paper research projects based on the wide-field CCD photometry performed in Piwnice Observatory are discussed. The used telescopes, as well as dedicated software pipeline for data reduction are presented. The prospects for collaboration between Polish and Bulgarian institutes in the field of wide-field photometry are also discussed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:12:51 GMT" } ]
2007-12-18T00:00:00
[ [ "Maciejewski", "Gracjan", "" ] ]
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712.2657
Rima Izem
Rima Izem, J.S. Marron
Analysis of nonlinear modes of variation for functional data
Published in at http://dx.doi.org/10.1214/07-EJS080 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Electronic Journal of Statistics 2007, Vol. 1, 641-676
10.1214/07-EJS080
IMS-EJS-EJS_2007_80
stat.ME
null
A set of curves or images of similar shape is an increasingly common functional data set collected in the sciences. Principal Component Analysis (PCA) is the most widely used technique to decompose variation in functional data. However, the linear modes of variation found by PCA are not always interpretable by the experimenters. In addition, the modes of variation of interest to the experimenter are not always linear. We present in this paper a new analysis of variance for Functional Data. Our method was motivated by decomposing the variation in the data into predetermined and interpretable directions (i.e. modes) of interest. Since some of these modes could be nonlinear, we develop a new defined ratio of sums of squares which takes into account the curvature of the space of variation. We discuss, in the general case, consistency of our estimates of variation, using mathematical tools from differential geometry and shape statistics. We successfully applied our method to a motivating example of biological data. This decomposition allows biologists to compare the prevalence of different genetic tradeoffs in a population and to quantify the effect of selection on evolution.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:12:56 GMT" } ]
2009-09-29T00:00:00
[ [ "Izem", "Rima", "" ], [ "Marron", "J. S.", "" ] ]
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712.2658
Heinz Horner
Martin Kiemes and Heinz Horner
Dynamics of an Ising Spin Glass on the Bethe Lattice
18 pages, contribution for the special issue "Viewing the World through Spin Glasses" in honour of Professor David Sherrington
null
10.1088/1751-8113/41/32/324017
null
cond-mat.dis-nn
null
We study the dynamical low temperature behaviour of the Ising spin glass on the Bethe lattice. Starting from Glauber dynamics we propose a cavity like Ansatz that allows for the treatment of the slow (low temperature) part of dynamics. Assuming a continuous phase transitions and ultrametricity with respect to long time scales we approach the problem perturbatively near the critical temperature. The theory is formulated in terms of correlation-response-functions of arbitrary order. They can, however, be broken down completely to products of pair functions depending on two time arguments only. For binary couplings $J=\pm I$ a spin glass solution is found which approaches the corresponding solution for the SK-model in the limit of high connectivity. For more general distributions $P(J)$ no stable or marginal solution of this type appears to exist. The nature of the low temperature phase in this more general case is unclear.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:15:41 GMT" } ]
2009-11-13T00:00:00
[ [ "Kiemes", "Martin", "" ], [ "Horner", "Heinz", "" ] ]
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712.2659
Jean Wicht
Belle Collaboration: J. Wicht, et al
Observation of B_s to phi gamma and Search for B_s to gamma gamma Decays at Belle
5 pages, 3 figures, accepted by Physics Review Letters
Phys.Rev.Lett.100:121801,2008
10.1103/PhysRevLett.100.121801
Belle Preprint 2007-48, KEK Preprint 2007-63
hep-ex
null
We search for the radiative penguin decays B_s to phi gamma and B_s to gamma gamma in a 23.6 fb-1 data sample collected at the Upsilon(5S) resonance with the Belle detector at the KEKB e+e- asymmetric-energy collider. We observe for the first time a radiative penguin decay of the B_s meson in the B_s to phi gamma mode. No significant B_s to gamma gamma signal is observed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:46:46 GMT" }, { "version": "v2", "created": "Tue, 26 Feb 2008 10:56:36 GMT" } ]
2008-11-26T00:00:00
[ [ "Belle Collaboration", "", "" ], [ "Wicht", "J.", "" ] ]
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712.266
Andrej Zorko
A. Zorko, F. Bert, P. Mendels, P. Bordet, P. Lejay, J. Robert
Easy-Axis Kagom\'e Antiferromagnet: Local-Probe Study of Nd$_3$Ga$_5$SiO$_{14}$
4 pages, 4 figures
Phys. Rev. Lett. 100, 147201 (2008)
10.1103/PhysRevLett.100.147201
null
cond-mat.str-el
null
We report a local-probe investigation of the magnetically anisotropic kagom\'e compound Nd$_3$Ga$_5$SiO$_{14}$. Our zero-field $\mu$SR results provide a direct evidence of a fluctuating collective paramagnetic state down to 60 mK, supported by a wipe-out of the Ga nuclear magnetic resonance (NMR) signal below 25 K. At 60 mK a dynamics crossover to a much more static state is observed by $\mu$SR in magnetic fields above 0.5 T. Accordingly, the NMR signal is recovered at low $T$ above a threshold field, revealing a rapid temperature and field variation of the magnetic fluctuations.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:18:16 GMT" }, { "version": "v2", "created": "Thu, 17 Apr 2008 14:51:15 GMT" } ]
2009-11-13T00:00:00
[ [ "Zorko", "A.", "" ], [ "Bert", "F.", "" ], [ "Mendels", "P.", "" ], [ "Bordet", "P.", "" ], [ "Lejay", "P.", "" ], [ "Robert", "J.", "" ] ]
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712.2661
Gregory Gutin
P. Balister, S. Gerke, G. Gutin, A. Johnstone, J. Reddington, E. Scott, A. Soleimanfallah, A. Yeo
Algorithms for Generating Convex Sets in Acyclic Digraphs
null
null
null
null
cs.DM cs.DS
null
A set $X$ of vertices of an acyclic digraph $D$ is convex if $X\neq \emptyset$ and there is no directed path between vertices of $X$ which contains a vertex not in $X$. A set $X$ is connected if $X\neq \emptyset$ and the underlying undirected graph of the subgraph of $D$ induced by $X$ is connected. Connected convex sets and convex sets of acyclic digraphs are of interest in the area of modern embedded processor technology. We construct an algorithm $\cal A$ for enumeration of all connected convex sets of an acyclic digraph $D$ of order $n$. The time complexity of $\cal A$ is $O(n\cdot cc(D))$, where $cc(D)$ is the number of connected convex sets in $D$. We also give an optimal algorithm for enumeration of all (not just connected) convex sets of an acyclic digraph $D$ of order $n$. In computational experiments we demonstrate that our algorithms outperform the best algorithms in the literature. Using the same approach as for $\cal A$, we design an algorithm for generating all connected sets of a connected undirected graph $G$. The complexity of the algorithm is $O(n\cdot c(G)),$ where $n$ is the order of $G$ and $c(G)$ is the number of connected sets of $G.$ The previously reported algorithm for connected set enumeration is of running time $O(mn\cdot c(G))$, where $m$ is the number of edges in $G.$
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:18:57 GMT" } ]
2007-12-18T00:00:00
[ [ "Balister", "P.", "" ], [ "Gerke", "S.", "" ], [ "Gutin", "G.", "" ], [ "Johnstone", "A.", "" ], [ "Reddington", "J.", "" ], [ "Scott", "E.", "" ], [ "Soleimanfallah", "A.", "" ], [ "Yeo", "A.", "" ] ]
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712.2662
Chiara Maieron
M. Baldo, C. Maieron (INFN Catania)
Neutron matter at low density and the unitary limit
17 pages, 7 figures. To be published in Phys. Rev. C
Phys.Rev.C77:015801,2008
10.1103/PhysRevC.77.015801
null
nucl-th
null
Neutron matter at low density is studied within the hole-line expansion. Calculations are performed in the range of Fermi momentum $k_F$ between 0.4 and 0.8 fm$^{-1}$. It is found that the Equation of State is determined by the $^1S_0$ channel only, the three-body forces contribution is quite small, the effect of the single particle potential is negligible and the three hole-line contribution is below 5% of the total energy and indeed vanishing small at the lowest densities. Despite the unitary limit is actually never reached, the total energy stays very close to one half of the free gas value throughout the considered density range. A rank one separable representation of the bare NN interaction, which reproduces the physical scattering length and effective range, gives results almost indistinguishable from the full Brueckner G-matrix calculations with a realistic force. The extension of the calculations below $k_F = 0.4$ fm$^{-1}$ does not indicate any pathological behavior of the neutron Equation of State.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:21:18 GMT" } ]
2008-11-26T00:00:00
[ [ "Baldo", "M.", "", "INFN Catania" ], [ "Maieron", "C.", "", "INFN Catania" ] ]
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712.2663
David Orozco Su\'arez
D. Orozco Suarez, L.R. Bellot Rubio, J.C. del Toro Iniesta and S. Tsuneta
Magnetic field emergence in quiet Sun granules
Accepted for publication in A&A special feature for Hinode
null
10.1051/0004-6361:20079032
null
astro-ph
null
We describe a new form of small-scale magnetic flux emergence in the quiet Sun. This process seems to take vertical magnetic fields from the solar interior to the photosphere, where they appear above granular convection cells. High-cadence time series of spectropolarimetric measurements obtained by Hinode in a quiet region near disk center are analyzed. We extract line parameters from the observed Stokes profiles and study their evolution with time. The circular polarization maps derived from the observed \ion{Fe}{i} 630 nm lines show clear magnetic signals emerging at the center of granular cells. We do not find any evidence for linear polarization signals associated with these events. The magnetic flux patches grow with time, occupying a significant fraction of the granular area. The signals then fade until they disappear completely. The typical lifetime of these events is of the order of 20 minutes. No significant changes in the chromosphere seem to occur in response to the emergence, as revealed by co-spatial \ion{Ca}{ii} H filtergrams. The Stokes I and V profiles measured in the emerging flux concentrations show strong asymmetries and Doppler shifts. The origin of these events is unclear at present, but we suggest that they may represent the emergence of vertical fields lines from the bottom of the photosphere, possibly dragged by the convective upflows of granules. Preliminary inversions of the Stokes spectra indicate that this scenario is compatible with the observations. The emergence of vertical field lines is not free from conceptual problems, though.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:33:04 GMT" } ]
2009-11-13T00:00:00
[ [ "Suarez", "D. Orozco", "" ], [ "Rubio", "L. R. Bellot", "" ], [ "Iniesta", "J. C. del Toro", "" ], [ "Tsuneta", "S.", "" ] ]
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712.2664
Amir Levinson
Amir Levinson, Omer Bromberg
Collimation and Radiative Deceleration of Jets in TeV AGNs
5 pages. Proceedings of "High Energy Phenomena in Relativistic Outflows", held in Dublin, Ireland, September 24-28, 2007
Int.J.Mod.Phys.D17:1603-1610,2008
10.1142/S0218271808013200
Int.J.Mod.Phys.D17,2008,1603-1610
astro-ph
null
We consider some implications of the rapid X-ray and TeV variability observed in M87 and the TeV blazars. We outline a model for jet focusing and demonstrate that modest radiative cooling can lead to recollimation of a relativistic jet in a nozzle having a very small cross-sectional radius. Such a configuration can produce rapid variability at large distances from the central engine and may explain recent observations of the HST-1 knot in M87. Possible applications of this model to TeV blazars are discussed. We also discuss a scenario for the very rapid TeV flares observed with HESS and MAGIC in some blazars, that accommodates the relatively small Doppler factors inferred from radio observations.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:37:06 GMT" } ]
2009-02-11T00:00:00
[ [ "Levinson", "Amir", "" ], [ "Bromberg", "Omer", "" ] ]
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712.2665
Erika Andersson
Erika Andersson, Daniel K. L. Oi
Binary search trees for generalized measurement
5 pages, 4 figures
null
10.1103/PhysRevA.77.052104
null
quant-ph
null
Generalized quantum measurements (POVMs or POMs) are important for optimally extracting information for quantum communication and computation. The standard realization via the Neumark extension requires extensive resources in the form of operations in an extended Hilbert space. For an arbitrary measurement, we show how to construct a binary search tree with a depth logarithmic in the number of possible outcomes. This could be implemented experimentally by coupling the measured quantum system to a probe qubit which is measured, and then iterating.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 20:25:39 GMT" } ]
2009-11-13T00:00:00
[ [ "Andersson", "Erika", "" ], [ "Oi", "Daniel K. L.", "" ] ]
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712.2666
Andreas Krassnigg
G. Eichmann, A. Krassnigg, M. Schwinzerl, and R. Alkofer
A covariant view on the nucleons' quark core
62 pages, 23 figures
Annals Phys.323:2505-2553,2008
10.1016/j.aop.2008.02.007
null
hep-ph hep-ex hep-lat nucl-th
null
Established results for the quark propagator in Landau gauge QCD, together with a detailed comparison to lattice data, are used to formulate a Poincare covariant Faddeev approach to the nucleon. The resultant three-quark amplitudes describe the quark core of the nucleon. The nucleon's mass and its electromagnetic form factors are calculated as functions of the current quark mass. The corresponding results together with charge radii and magnetic moments are discussed in connection with the contributions from various ingredients in a consistent calculation of nucleon properties, as well as the role of the pion cloud in such an approach.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 16:56:02 GMT" } ]
2009-12-15T00:00:00
[ [ "Eichmann", "G.", "" ], [ "Krassnigg", "A.", "" ], [ "Schwinzerl", "M.", "" ], [ "Alkofer", "R.", "" ] ]
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712.2667
Yuri Pavlov
A. A. Grib and Yu. V. Pavlov
Do active galactic nuclei convert dark matter into visible particles?
LATEX, 5 pages, no figure
Mod.Phys.Lett.A23:1151-1159,2008
10.1142/S0217732308027072
null
gr-qc astro-ph hep-ph
null
The hypothesis that dark matter consists of superheavy particles with the mass close to the Grand Unification scale is investigated. These particles were created from vacuum by the gravitation of the expanding Universe and their decay led to the observable baryon charge. Some part of these particles with the lifetime larger than the time of breaking of the Grand Unification symmetry became metastable and survived up to the modern time as dark matter. However in active galactic nuclei due to large energies of dark matter particles swallowed by the black hole the opposite process can occur. Dark matter particles become interacting. Their decay on visible particles at the Grand Unification energies leads to the flow of ultra high energy cosmic rays observed by the Auger group. Numerical estimates of the effect leading to the observable numbers are given.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 09:51:10 GMT" } ]
2008-11-26T00:00:00
[ [ "Grib", "A. A.", "" ], [ "Pavlov", "Yu. V.", "" ] ]
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712.2668
Jackson Mayo
Jackson R. Mayo and Alan R. Kerstein (Sandia National Laboratories)
Fronts in randomly advected and heterogeneous media and nonuniversality of Burgers turbulence: Theory and numerics
20 pages, 2 figures, REVTeX 4. Moved some details to appendices, added figure on numerical method
Phys. Rev. E 78, 056307 (2008)
10.1103/PhysRevE.78.056307
SAND2007-8046J
cond-mat.stat-mech nlin.CD
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A recently established mathematical equivalence--between weakly perturbed Huygens fronts (e.g., flames in weak turbulence or geometrical-optics wave fronts in slightly nonuniform media) and the inviscid limit of white-noise-driven Burgers turbulence--motivates theoretical and numerical estimates of Burgers-turbulence properties for specific types of white-in-time forcing. Existing mathematical relations between Burgers turbulence and the statistical mechanics of directed polymers, allowing use of the replica method, are exploited to obtain systematic upper bounds on the Burgers energy density, corresponding to the ground-state binding energy of the directed polymer and the speedup of the Huygens front. The results are complementary to previous studies of both Burgers turbulence and directed polymers, which have focused on universal scaling properties instead of forcing-dependent parameters. The upper-bound formula can be heuristically understood in terms of renormalization of a different kind from that previously used in combustion models, and also shows that the burning velocity of an idealized turbulent flame does not diverge with increasing Reynolds number at fixed turbulence intensity, a conclusion that applies even to strong turbulence. Numerical simulations of the one-dimensional inviscid Burgers equation using a Lagrangian finite-element method confirm that the theoretical upper bounds are sharp within about 15% for various forcing spectra (corresponding to various two-dimensional random media). These computations provide a new quantitative test of the replica method. The inferred nonuniversality (spectrum dependence) of the front speedup is of direct importance for combustion modeling.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 20:32:38 GMT" }, { "version": "v2", "created": "Fri, 17 Oct 2008 19:03:53 GMT" } ]
2008-11-21T00:00:00
[ [ "Mayo", "Jackson R.", "", "Sandia National Laboratories" ], [ "Kerstein", "Alan R.", "", "Sandia National Laboratories" ] ]
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712.2669
Daniel Evans
Daniel A. Evans (1,2), Wen-Fai Fong (1,3), Martin J. Hardcastle (4), Ralph P. Kraft (2), Julia C. Lee (1,2), Diana M. Worrall (5), Mark Birkinshaw (5), Judith H. Croston (4), Tom W. B. Muxlow (6) ((1) Harvard University, Department of Astronomy, (2) Harvard-Smithsonian Center for Astrophysics, (3) Massachusetts Institute of Technology, (4) University of Hertfordshire, (5) University of Bristol, (6) MERLIN/VLBI National Facility, Jodrell Bank Observatory)
A Radio Through X-ray Study of the Jet/Companion-Galaxy Interaction in 3C 321
13 pages, 9 figures. Minor typos and references corrected. A high-resolution version is available from http://hea-www.harvard.edu/~devans/publications/3c321.pdf
null
10.1086/527410
null
astro-ph
null
We present a multiwavelength study of the nucleus, environment, jets, and hotspots of the nearby FRII radio galaxy 3C 321, using new and archival data from MERLIN, the VLA, Spitzer, HST, and Chandra. An initially collimated radio jet extends northwest from the nucleus of its host galaxy and produces a compact knot of radio emission adjacent (in projection) to a companion galaxy, after which it dramatically flares and bends, extending out in a diffuse structure 35 kpc northwest of the nucleus. We argue that the simplest explanation for the unusual morphology of the jet is that it is undergoing an interaction with the companion galaxy. Given that the northwest hotspot that lies >250 kpc from the core shows X-ray emission, which likely indicates in situ high-energy particle acceleration, we argue that the jet-companion interaction is not a steady-state situation. Instead, we suggest that the jet has been disrupted on a timescale less than the light travel time to the end of the lobe, $\sim 10^6$ years, and that the jet flow to this hotspot will only be disrupted for as long as the jet-companion interaction takes place. The host galaxy of 3C 321 and the companion galaxy are in the process of merging, and each hosts a luminous AGN. As this is an unusual situation, we investigate the hypothesis that the interacting jet has driven material on to the companion galaxy, triggering its AGN. Finally, we present detailed radio and X-ray observations of both hotspots, which show that there are multiple emission sites, with spatial offsets between the radio and X-ray emission.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 20:34:34 GMT" }, { "version": "v2", "created": "Thu, 3 Jan 2008 19:07:34 GMT" }, { "version": "v3", "created": "Fri, 18 Jan 2008 22:23:22 GMT" } ]
2009-11-13T00:00:00
[ [ "Evans", "Daniel A.", "" ], [ "Fong", "Wen-Fai", "" ], [ "Hardcastle", "Martin J.", "" ], [ "Kraft", "Ralph P.", "" ], [ "Lee", "Julia C.", "" ], [ "Worrall", "Diana M.", "" ], [ "Birkinshaw", "Mark", "" ], [ "Croston", "Judith H.", "" ], [ "Muxlow", "Tom W. B.", "" ] ]
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712.267
Graeme Watt
G. Watt, H. Kowalski
Impact parameter dependent colour glass condensate dipole model
19 pages, 16 figures. Revised version published in Phys. Rev. D; new section added on longitudinal and heavy flavour structure functions
Phys.Rev.D78:014016,2008
10.1103/PhysRevD.78.014016
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that the colour glass condensate dipole model of Iancu, Itakura and Munier, improved to include the impact parameter dependence, gives a good fit to the total gamma* p cross section measured at HERA if the anomalous dimension at the saturation scale, gamma_s, is treated as a free parameter. We find that the optimum value of gamma_s = 0.46 is close to the value determined from numerical solution of the Balitsky-Kovchegov equation. The impact parameter dependent saturation scale is generally less than 0.5 GeV^2 in the HERA kinematic regime for the most relevant impact parameters b ~ 2-3 GeV^{-1}. We compare predictions of the model to data on the longitudinal and heavy flavour structure functions, exclusive diffractive vector meson production and deeply virtual Compton scattering at HERA. The model is found to be deficient for observables sensitive to moderately small dipole sizes, where an alternative model with explicit DGLAP evolution performs better. The energy dependence of exclusive diffractive processes is shown to provide an important discriminator between different dipole model cross sections.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 20:34:47 GMT" }, { "version": "v2", "created": "Mon, 28 Jul 2008 14:20:17 GMT" } ]
2008-11-26T00:00:00
[ [ "Watt", "G.", "" ], [ "Kowalski", "H.", "" ] ]
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712.2671
Laurent Buse
Laurent Bus\'e (INRIA Sophia Antipolis)
On the equations of the moving curve ideal of a rational algebraic plane curve
Journal of Algebra (2009)
null
null
null
math.AG cs.SC math.AC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a parametrization of a rational plane algebraic curve C, some explicit adjoint pencils on C are described in terms of determinants. Moreover, some generators of the Rees algebra associated to this parametrization are presented. The main ingredient developed in this paper is a detailed study of the elimination ideal of two homogeneous polynomials in two homogeneous variables that form a regular sequence.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:12:33 GMT" }, { "version": "v2", "created": "Tue, 10 Feb 2009 10:45:19 GMT" } ]
2009-02-10T00:00:00
[ [ "Busé", "Laurent", "", "INRIA Sophia Antipolis" ] ]
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712.2672
Emmanuil Saridakis
E. N. Saridakis
Holographic Dark Energy in Braneworld Models with Moving Branes and the w=-1 Crossing
15 pages, 2 figures, version published in JCAP
JCAP 0804:020,2008
10.1088/1475-7516/2008/04/020
null
astro-ph hep-th
null
We apply the bulk holographic dark energy in general 5D two-brane models. We extract the Friedmann equation on the physical brane and we show that in the general moving-brane case the effective 4D holographic dark energy behaves as a quintom for a large parameter-space area of a simple solution subclass. We find that $w_\Lambda$ was larger than -1 in the past while its present value is $w_{\Lambda_0}\approx-1.05$, and the phantom bound $w_\Lambda=-1$ was crossed at $z_{p}\approx0.41$, a result in agreement with observations. Such a behavior arises naturally, without the inclusion of special fields or potential terms, but a fine-tuning between the 4D Planck mass and the brane tension has to be imposed.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:18:25 GMT" }, { "version": "v2", "created": "Fri, 21 Mar 2008 11:07:08 GMT" } ]
2009-06-23T00:00:00
[ [ "Saridakis", "E. N.", "" ] ]
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712.2673
Andrey A. Sukhorukov
Ivan L. Garanovich, Andrey A. Sukhorukov, and Yuri S. Kivshar
Defect-free surface states in modulated photonic lattices
4 pages, 4 figures
Phys. Rev. Lett. 100, 203904 (2008)
10.1103/PhysRevLett.100.203904
null
physics.optics
null
We predict that interfaces of modulated photonic lattices can support a novel type of generic surface states. Such linear surface states appear in truncated but otherwise perfect (defect-free) lattices as a direct consequence of the periodic modulation of the lattice potential, without any embedded or nonlinearity-induced defects. This is in a sharp contrast to all previous studies, where surface states in linear or nonlinear lattices, such as Tamm or Shockley type surface states, are always associated with the presence of a certain type of structural or induced surface defect.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:29:08 GMT" } ]
2018-04-13T00:00:00
[ [ "Garanovich", "Ivan L.", "" ], [ "Sukhorukov", "Andrey A.", "" ], [ "Kivshar", "Yuri S.", "" ] ]
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712.2674
Jose Capco
J. Capco
Uniqueness of real closure * of regular rings
null
null
null
null
math.AC math.AG math.RA
null
In this paper we give a characterisation of real closure * of regular rings, which is quite similar to the characterisation of real closure * of Baer regular rings seen in [4]. We also characterize Baer-ness of regular rings using near-open maps. The last part of this work will concentrate on classifying the real closure * of Baer and non-Baer regular rings (upto isomorphisms) using continuous sections of the support map, we construct a topology on this set for the Baer case. For the case of non-Baer regular rings, it will be shown that almost no information of the ring structure of the Baer hull is necessary in order to study the real and prime spectra of the Baer hull. We shall make use of the absolutes of Hausdorff spaces in order to give a construction of the spectra of the Baer hulls of regular rings. Finally we give example of a Baer regular ring that is not rationally complete.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:30:18 GMT" }, { "version": "v2", "created": "Wed, 16 Jan 2008 13:20:44 GMT" } ]
2015-03-13T00:00:00
[ [ "Capco", "J.", "" ] ]
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712.2675
Utpal Sarkar
Utpal Sarkar
Leptogenesis, Dark Energy, Dark Matter and the neutrinos
Invited talk appeared in International Workshop in Theoretical High Energy Physics, ed. A. Misra, AIP Conf. Proc. 939 (2007) 124-133
null
10.1063/1.2803796
null
hep-ph
null
In this review we discuss how the models of neutrino masses can accommodate solutions to the problem of matter-antimatter asymmetry in the universe, dark energy or cosmological constant problem and dark matter candidates. The matter-antimatter asymmetry is explained by leptogenesis, originating from the lepton number violation associated with the neutrino masses. The dark energy problem is correlated with a mass varying neutrinos, which could originate from a pseudo-Nambu-Goldstone boson. In some radiative models of neutrino masses, there exists a Higgs doublet that does not acquire any vacuum expectation value. This field could be inert and the lightest inert particle could then be a dark matter candidate. We reviewed these scenarios in connection with models of neutrino masses with right-handed neutrinos and with triplet Higgs scalars.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 11:16:40 GMT" } ]
2009-11-13T00:00:00
[ [ "Sarkar", "Utpal", "" ] ]
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712.2676
Francois Delarue
Francis Comets (PMA), Francois Delarue (PMA), Ren\'e Schott (IECN, LORIA)
Large Deviations Analysis for Distributed Algorithms in an Ergodic Markovian Environment
null
Applied Mathematics and Optimization 60, 3 (2009) 341--396
10.1007/s00245-009-9079-8
null
math.PR
null
We provide a large deviations analysis of deadlock phenomena occurring in distributed systems sharing common resources. In our model transition probabilities of resource allocation and deallocation are time and space dependent. The process is driven by an ergodic Markov chain and is reflected on the boundary of the d-dimensional cube. In the large resource limit, we prove Freidlin-Wentzell estimates, we study the asymptotic of the deadlock time and we show that the quasi-potential is a viscosity solution of a Hamilton-Jacobi equation with a Neumann boundary condition. We give a complete analysis of the colliding 2-stacks problem and show an example where the system has a stable attractor which is a limit cycle.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:45:27 GMT" } ]
2009-11-24T00:00:00
[ [ "Comets", "Francis", "", "PMA" ], [ "Delarue", "Francois", "", "PMA" ], [ "Schott", "René", "", "IECN,\n LORIA" ] ]
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712.2677
Vasily Mochalov
V.V.Mochalov, S.B.Nurushev, A.N.Vasiliev, N.A.Bazhanov, N.S.Borisov, Y.M.Goncharenko, A.M.Davidenko, A.A.Derevschikov, V.G.Kolomiets, V.A.Kormilitsin, V.I.Kravtsov, A.B.Lazarev, Yu.A.Matulenko, Yu.M.Melnick, A.P.Meschanin, N.G.Minaev, D.A.Morozov, A.B.Neganov, L.V.Nogach, Yu.A.Plis, A.F.Prudkoglyad, A.V.Ryazantsev, P.A.Semenov, O.N.Shchevelev, L.F.Soloviev, Yu.A.Usov, A.E.Yakutin
The Comparative Study of the Inclusive $\pi^0$ Analyzing Power in Reactions p+p(pol)->\pi^0 + X and \pi^-+p(pol)->\pi^0 + X at 50 and 40 Gev/C Respectively
Talk given at XII Workshop on High Energy Spin Physics (Dubna-SPIN-07)
null
null
null
hep-ex
null
Single-spin asymmetries $A_N$ in reactions p+p(pol)->\pi^0 + X and \pi^-+p(pol)->\pi^0 + X at 50 and 40 GeV/c respectively behave in drastically different ways in function of transverse momentum in the central region. At the same time $A_N$ in the polarized proton fragmentation region of these reactions are practically coinciding. Our new data on the analyzing power at 50 GeV/c in the polarized proton fragmentation region in reaction p+p(pol)->\pi^0 + X confirm this conclusion with better statistics and coincide with our previous data at 70 GeV/c for the same reaction.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:52:35 GMT" } ]
2007-12-18T00:00:00
[ [ "Mochalov", "V. V.", "" ], [ "Nurushev", "S. B.", "" ], [ "Vasiliev", "A. N.", "" ], [ "Bazhanov", "N. A.", "" ], [ "Borisov", "N. S.", "" ], [ "Goncharenko", "Y. M.", "" ], [ "Davidenko", "A. M.", "" ], [ "Derevschikov", "A. A.", "" ], [ "Kolomiets", "V. G.", "" ], [ "Kormilitsin", "V. A.", "" ], [ "Kravtsov", "V. I.", "" ], [ "Lazarev", "A. B.", "" ], [ "Matulenko", "Yu. A.", "" ], [ "Melnick", "Yu. M.", "" ], [ "Meschanin", "A. P.", "" ], [ "Minaev", "N. G.", "" ], [ "Morozov", "D. A.", "" ], [ "Neganov", "A. B.", "" ], [ "Nogach", "L. V.", "" ], [ "Plis", "Yu. A.", "" ], [ "Prudkoglyad", "A. F.", "" ], [ "Ryazantsev", "A. V.", "" ], [ "Semenov", "P. A.", "" ], [ "Shchevelev", "O. N.", "" ], [ "Soloviev", "L. F.", "" ], [ "Usov", "Yu. A.", "" ], [ "Yakutin", "A. E.", "" ] ]
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712.2678
Gregory Gutin
P. Balister, S. Gerke, G. Gutin
Convex sets in acyclic digraphs
null
null
null
null
cs.DM
null
A non-empty set $X$ of vertices of an acyclic digraph is called connected if the underlying undirected graph induced by $X$ is connected and it is called convex if no two vertices of $X$ are connected by a directed path in which some vertices are not in $X$. The set of convex sets (connected convex sets) of an acyclic digraph $D$ is denoted by $\sco(D)$ ($\scc(D)$) and its size by $\co(D)$ ($\cc(D)$). Gutin, Johnstone, Reddington, Scott, Soleimanfallah, and Yeo (Proc. ACiD'07) conjectured that the sum of the sizes of all (connected) convex sets in $D$ equals $\Theta(n \cdot \co(D))$ ($\Theta(n \cdot \cc(D))$) where $n$ is the order of $D$. In this paper we exhibit a family of connected acyclic digraphs with $\sum_{C\in \sco(D)}|C| = o(n\cdot \co(D))$ and $\sum_{C\in \scc(D)}|C| = o(n\cdot \cc(D))$. We also show that the number of connected convex sets of order $k$ in any connected acyclic digraph of order $n$ is at least $n-k+1$. This is a strengthening of a theorem by Gutin and Yeo.
[ { "version": "v1", "created": "Mon, 17 Dec 2007 10:52:47 GMT" } ]
2007-12-18T00:00:00
[ [ "Balister", "P.", "" ], [ "Gerke", "S.", "" ], [ "Gutin", "G.", "" ] ]
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